Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [289,2,Mod(110,289)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(289, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("289.110");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 289 = 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 289.d (of order \(8\), degree \(4\), not 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: | \(2.30767661842\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{8})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 17) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 134.1 | ||
Root | \(-0.707107 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 289.134 |
Dual form | 289.2.d.b.110.1 |
$q$-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 \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.292893 | + | 0.292893i | 0.207107 | + | 0.207107i | 0.803037 | − | 0.595930i | \(-0.203216\pi\) |
−0.595930 | + | 0.803037i | \(0.703216\pi\) | |||||||
\(3\) | −1.00000 | − | 2.41421i | −0.577350 | − | 1.39385i | −0.895182 | − | 0.445700i | \(-0.852955\pi\) |
0.317832 | − | 0.948147i | \(-0.397045\pi\) | |||||||
\(4\) | − | 1.82843i | − | 0.914214i | ||||||
\(5\) | −1.70711 | + | 0.707107i | −0.763441 | + | 0.316228i | −0.730213 | − | 0.683220i | \(-0.760579\pi\) |
−0.0332288 | + | 0.999448i | \(0.510579\pi\) | |||||||
\(6\) | 0.414214 | − | 1.00000i | 0.169102 | − | 0.408248i | ||||
\(7\) | −1.00000 | − | 0.414214i | −0.377964 | − | 0.156558i | 0.185610 | − | 0.982624i | \(-0.440574\pi\) |
−0.563574 | + | 0.826066i | \(0.690574\pi\) | |||||||
\(8\) | 1.12132 | − | 1.12132i | 0.396447 | − | 0.396447i | ||||
\(9\) | −2.70711 | + | 2.70711i | −0.902369 | + | 0.902369i | ||||
\(10\) | −0.707107 | − | 0.292893i | −0.223607 | − | 0.0926210i | ||||
\(11\) | −0.414214 | + | 1.00000i | −0.124890 | + | 0.301511i | −0.973942 | − | 0.226799i | \(-0.927174\pi\) |
0.849052 | + | 0.528310i | \(0.177174\pi\) | |||||||
\(12\) | −4.41421 | + | 1.82843i | −1.27427 | + | 0.527821i | ||||
\(13\) | 1.41421i | 0.392232i | 0.980581 | + | 0.196116i | \(0.0628330\pi\) | ||||
−0.980581 | + | 0.196116i | \(0.937167\pi\) | |||||||
\(14\) | −0.171573 | − | 0.414214i | −0.0458548 | − | 0.110703i | ||||
\(15\) | 3.41421 | + | 3.41421i | 0.881546 | + | 0.881546i | ||||
\(16\) | −3.00000 | −0.750000 | ||||||||
\(17\) | 0 | 0 | ||||||||
\(18\) | −1.58579 | −0.373773 | ||||||||
\(19\) | −3.41421 | − | 3.41421i | −0.783274 | − | 0.783274i | 0.197108 | − | 0.980382i | \(-0.436845\pi\) |
−0.980382 | + | 0.197108i | \(0.936845\pi\) | |||||||
\(20\) | 1.29289 | + | 3.12132i | 0.289100 | + | 0.697948i | ||||
\(21\) | 2.82843i | 0.617213i | ||||||||
\(22\) | −0.414214 | + | 0.171573i | −0.0883106 | + | 0.0365795i | ||||
\(23\) | 1.58579 | − | 3.82843i | 0.330659 | − | 0.798282i | −0.667881 | − | 0.744268i | \(-0.732798\pi\) |
0.998540 | − | 0.0540140i | \(-0.0172016\pi\) | |||||||
\(24\) | −3.82843 | − | 1.58579i | −0.781474 | − | 0.323697i | ||||
\(25\) | −1.12132 | + | 1.12132i | −0.224264 | + | 0.224264i | ||||
\(26\) | −0.414214 | + | 0.414214i | −0.0812340 | + | 0.0812340i | ||||
\(27\) | 2.00000 | + | 0.828427i | 0.384900 | + | 0.159431i | ||||
\(28\) | −0.757359 | + | 1.82843i | −0.143127 | + | 0.345540i | ||||
\(29\) | 4.12132 | − | 1.70711i | 0.765310 | − | 0.317002i | 0.0343389 | − | 0.999410i | \(-0.489067\pi\) |
0.730971 | + | 0.682408i | \(0.239067\pi\) | |||||||
\(30\) | 2.00000i | 0.365148i | ||||||||
\(31\) | −1.24264 | − | 3.00000i | −0.223185 | − | 0.538816i | 0.772134 | − | 0.635460i | \(-0.219189\pi\) |
−0.995319 | + | 0.0966436i | \(0.969189\pi\) | |||||||
\(32\) | −3.12132 | − | 3.12132i | −0.551777 | − | 0.551777i | ||||
\(33\) | 2.82843 | 0.492366 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.00000 | 0.338062 | ||||||||
\(36\) | 4.94975 | + | 4.94975i | 0.824958 | + | 0.824958i | ||||
\(37\) | −1.46447 | − | 3.53553i | −0.240757 | − | 0.581238i | 0.756602 | − | 0.653876i | \(-0.226858\pi\) |
−0.997358 | + | 0.0726379i | \(0.976858\pi\) | |||||||
\(38\) | − | 2.00000i | − | 0.324443i | ||||||
\(39\) | 3.41421 | − | 1.41421i | 0.546712 | − | 0.226455i | ||||
\(40\) | −1.12132 | + | 2.70711i | −0.177296 | + | 0.428031i | ||||
\(41\) | 7.53553 | + | 3.12132i | 1.17685 | + | 0.487468i | 0.883452 | − | 0.468521i | \(-0.155213\pi\) |
0.293400 | + | 0.955990i | \(0.405213\pi\) | |||||||
\(42\) | −0.828427 | + | 0.828427i | −0.127829 | + | 0.127829i | ||||
\(43\) | 3.41421 | − | 3.41421i | 0.520663 | − | 0.520663i | −0.397109 | − | 0.917772i | \(-0.629986\pi\) |
0.917772 | + | 0.397109i | \(0.129986\pi\) | |||||||
\(44\) | 1.82843 | + | 0.757359i | 0.275646 | + | 0.114176i | ||||
\(45\) | 2.70711 | − | 6.53553i | 0.403552 | − | 0.974260i | ||||
\(46\) | 1.58579 | − | 0.656854i | 0.233811 | − | 0.0968479i | ||||
\(47\) | − | 10.8284i | − | 1.57949i | −0.613436 | − | 0.789744i | \(-0.710213\pi\) | ||
0.613436 | − | 0.789744i | \(-0.289787\pi\) | |||||||
\(48\) | 3.00000 | + | 7.24264i | 0.433013 | + | 1.04539i | ||||
\(49\) | −4.12132 | − | 4.12132i | −0.588760 | − | 0.588760i | ||||
\(50\) | −0.656854 | −0.0928932 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.58579 | 0.358584 | ||||||||
\(53\) | 1.00000 | + | 1.00000i | 0.137361 | + | 0.137361i | 0.772444 | − | 0.635083i | \(-0.219034\pi\) |
−0.635083 | + | 0.772444i | \(0.719034\pi\) | |||||||
\(54\) | 0.343146 | + | 0.828427i | 0.0466962 | + | 0.112735i | ||||
\(55\) | − | 2.00000i | − | 0.269680i | ||||||
\(56\) | −1.58579 | + | 0.656854i | −0.211910 | + | 0.0877758i | ||||
\(57\) | −4.82843 | + | 11.6569i | −0.639541 | + | 1.54399i | ||||
\(58\) | 1.70711 | + | 0.707107i | 0.224154 | + | 0.0928477i | ||||
\(59\) | 4.24264 | − | 4.24264i | 0.552345 | − | 0.552345i | −0.374772 | − | 0.927117i | \(-0.622279\pi\) |
0.927117 | + | 0.374772i | \(0.122279\pi\) | |||||||
\(60\) | 6.24264 | − | 6.24264i | 0.805921 | − | 0.805921i | ||||
\(61\) | −8.53553 | − | 3.53553i | −1.09286 | − | 0.452679i | −0.237859 | − | 0.971300i | \(-0.576446\pi\) |
−0.855004 | + | 0.518621i | \(0.826446\pi\) | |||||||
\(62\) | 0.514719 | − | 1.24264i | 0.0653693 | − | 0.157816i | ||||
\(63\) | 3.82843 | − | 1.58579i | 0.482336 | − | 0.199790i | ||||
\(64\) | 4.17157i | 0.521447i | ||||||||
\(65\) | −1.00000 | − | 2.41421i | −0.124035 | − | 0.299446i | ||||
\(66\) | 0.828427 | + | 0.828427i | 0.101972 | + | 0.101972i | ||||
\(67\) | 6.82843 | 0.834225 | 0.417113 | − | 0.908855i | \(-0.363042\pi\) | ||||
0.417113 | + | 0.908855i | \(0.363042\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −10.8284 | −1.30359 | ||||||||
\(70\) | 0.585786 | + | 0.585786i | 0.0700149 | + | 0.0700149i | ||||
\(71\) | 5.00000 | + | 12.0711i | 0.593391 | + | 1.43257i | 0.880209 | + | 0.474587i | \(0.157403\pi\) |
−0.286818 | + | 0.957985i | \(0.592597\pi\) | |||||||
\(72\) | 6.07107i | 0.715482i | ||||||||
\(73\) | 4.94975 | − | 2.05025i | 0.579324 | − | 0.239964i | −0.0737261 | − | 0.997279i | \(-0.523489\pi\) |
0.653050 | + | 0.757315i | \(0.273489\pi\) | |||||||
\(74\) | 0.606602 | − | 1.46447i | 0.0705160 | − | 0.170241i | ||||
\(75\) | 3.82843 | + | 1.58579i | 0.442069 | + | 0.183111i | ||||
\(76\) | −6.24264 | + | 6.24264i | −0.716080 | + | 0.716080i | ||||
\(77\) | 0.828427 | − | 0.828427i | 0.0944080 | − | 0.0944080i | ||||
\(78\) | 1.41421 | + | 0.585786i | 0.160128 | + | 0.0663273i | ||||
\(79\) | −1.58579 | + | 3.82843i | −0.178415 | + | 0.430732i | −0.987634 | − | 0.156775i | \(-0.949890\pi\) |
0.809219 | + | 0.587506i | \(0.199890\pi\) | |||||||
\(80\) | 5.12132 | − | 2.12132i | 0.572581 | − | 0.237171i | ||||
\(81\) | 5.82843i | 0.647603i | ||||||||
\(82\) | 1.29289 | + | 3.12132i | 0.142776 | + | 0.344692i | ||||
\(83\) | 0.242641 | + | 0.242641i | 0.0266333 | + | 0.0266333i | 0.720298 | − | 0.693665i | \(-0.244005\pi\) |
−0.693665 | + | 0.720298i | \(0.744005\pi\) | |||||||
\(84\) | 5.17157 | 0.564265 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.00000 | 0.215666 | ||||||||
\(87\) | −8.24264 | − | 8.24264i | −0.883704 | − | 0.883704i | ||||
\(88\) | 0.656854 | + | 1.58579i | 0.0700209 | + | 0.169045i | ||||
\(89\) | 9.41421i | 0.997905i | 0.866629 | + | 0.498952i | \(0.166282\pi\) | ||||
−0.866629 | + | 0.498952i | \(0.833718\pi\) | |||||||
\(90\) | 2.70711 | − | 1.12132i | 0.285354 | − | 0.118198i | ||||
\(91\) | 0.585786 | − | 1.41421i | 0.0614071 | − | 0.148250i | ||||
\(92\) | −7.00000 | − | 2.89949i | −0.729800 | − | 0.302293i | ||||
\(93\) | −6.00000 | + | 6.00000i | −0.622171 | + | 0.622171i | ||||
\(94\) | 3.17157 | − | 3.17157i | 0.327123 | − | 0.327123i | ||||
\(95\) | 8.24264 | + | 3.41421i | 0.845677 | + | 0.350291i | ||||
\(96\) | −4.41421 | + | 10.6569i | −0.450524 | + | 1.08766i | ||||
\(97\) | −5.94975 | + | 2.46447i | −0.604105 | + | 0.250229i | −0.663706 | − | 0.747994i | \(-0.731017\pi\) |
0.0596005 | + | 0.998222i | \(0.481017\pi\) | |||||||
\(98\) | − | 2.41421i | − | 0.243872i | ||||||
\(99\) | −1.58579 | − | 3.82843i | −0.159378 | − | 0.384771i | ||||
\(100\) | 2.05025 | + | 2.05025i | 0.205025 | + | 0.205025i | ||||
\(101\) | −13.4142 | −1.33476 | −0.667382 | − | 0.744715i | \(-0.732585\pi\) | ||||
−0.667382 | + | 0.744715i | \(0.732585\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.48528 | −0.441948 | −0.220974 | − | 0.975280i | \(-0.570924\pi\) | ||||
−0.220974 | + | 0.975280i | \(0.570924\pi\) | |||||||
\(104\) | 1.58579 | + | 1.58579i | 0.155499 | + | 0.155499i | ||||
\(105\) | −2.00000 | − | 4.82843i | −0.195180 | − | 0.471206i | ||||
\(106\) | 0.585786i | 0.0568966i | ||||||||
\(107\) | 5.82843 | − | 2.41421i | 0.563455 | − | 0.233391i | −0.0827292 | − | 0.996572i | \(-0.526364\pi\) |
0.646184 | + | 0.763181i | \(0.276364\pi\) | |||||||
\(108\) | 1.51472 | − | 3.65685i | 0.145754 | − | 0.351881i | ||||
\(109\) | −3.94975 | − | 1.63604i | −0.378317 | − | 0.156704i | 0.185418 | − | 0.982660i | \(-0.440636\pi\) |
−0.563735 | + | 0.825956i | \(0.690636\pi\) | |||||||
\(110\) | 0.585786 | − | 0.585786i | 0.0558525 | − | 0.0558525i | ||||
\(111\) | −7.07107 | + | 7.07107i | −0.671156 | + | 0.671156i | ||||
\(112\) | 3.00000 | + | 1.24264i | 0.283473 | + | 0.117419i | ||||
\(113\) | 6.19239 | − | 14.9497i | 0.582531 | − | 1.40635i | −0.307980 | − | 0.951393i | \(-0.599653\pi\) |
0.890511 | − | 0.454961i | \(-0.150347\pi\) | |||||||
\(114\) | −4.82843 | + | 2.00000i | −0.452224 | + | 0.187317i | ||||
\(115\) | 7.65685i | 0.714005i | ||||||||
\(116\) | −3.12132 | − | 7.53553i | −0.289807 | − | 0.699657i | ||||
\(117\) | −3.82843 | − | 3.82843i | −0.353938 | − | 0.353938i | ||||
\(118\) | 2.48528 | 0.228789 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 7.65685 | 0.698972 | ||||||||
\(121\) | 6.94975 | + | 6.94975i | 0.631795 | + | 0.631795i | ||||
\(122\) | −1.46447 | − | 3.53553i | −0.132587 | − | 0.320092i | ||||
\(123\) | − | 21.3137i | − | 1.92179i | ||||||
\(124\) | −5.48528 | + | 2.27208i | −0.492593 | + | 0.204039i | ||||
\(125\) | 4.65685 | − | 11.2426i | 0.416522 | − | 1.00557i | ||||
\(126\) | 1.58579 | + | 0.656854i | 0.141273 | + | 0.0585172i | ||||
\(127\) | 12.2426 | − | 12.2426i | 1.08636 | − | 1.08636i | 0.0904585 | − | 0.995900i | \(-0.471167\pi\) |
0.995900 | − | 0.0904585i | \(-0.0288332\pi\) | |||||||
\(128\) | −7.46447 | + | 7.46447i | −0.659772 | + | 0.659772i | ||||
\(129\) | −11.6569 | − | 4.82843i | −1.02633 | − | 0.425119i | ||||
\(130\) | 0.414214 | − | 1.00000i | 0.0363289 | − | 0.0877058i | ||||
\(131\) | −0.171573 | + | 0.0710678i | −0.0149904 | + | 0.00620922i | −0.390166 | − | 0.920745i | \(-0.627582\pi\) |
0.375176 | + | 0.926954i | \(0.377582\pi\) | |||||||
\(132\) | − | 5.17157i | − | 0.450128i | ||||||
\(133\) | 2.00000 | + | 4.82843i | 0.173422 | + | 0.418678i | ||||
\(134\) | 2.00000 | + | 2.00000i | 0.172774 | + | 0.172774i | ||||
\(135\) | −4.00000 | −0.344265 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 8.72792 | 0.745677 | 0.372838 | − | 0.927896i | \(-0.378385\pi\) | ||||
0.372838 | + | 0.927896i | \(0.378385\pi\) | |||||||
\(138\) | −3.17157 | − | 3.17157i | −0.269982 | − | 0.269982i | ||||
\(139\) | −5.72792 | − | 13.8284i | −0.485836 | − | 1.17291i | −0.956797 | − | 0.290758i | \(-0.906093\pi\) |
0.470961 | − | 0.882154i | \(-0.343907\pi\) | |||||||
\(140\) | − | 3.65685i | − | 0.309061i | ||||||
\(141\) | −26.1421 | + | 10.8284i | −2.20156 | + | 0.911918i | ||||
\(142\) | −2.07107 | + | 5.00000i | −0.173800 | + | 0.419591i | ||||
\(143\) | −1.41421 | − | 0.585786i | −0.118262 | − | 0.0489859i | ||||
\(144\) | 8.12132 | − | 8.12132i | 0.676777 | − | 0.676777i | ||||
\(145\) | −5.82843 | + | 5.82843i | −0.484025 | + | 0.484025i | ||||
\(146\) | 2.05025 | + | 0.849242i | 0.169680 | + | 0.0702838i | ||||
\(147\) | −5.82843 | + | 14.0711i | −0.480721 | + | 1.16056i | ||||
\(148\) | −6.46447 | + | 2.67767i | −0.531376 | + | 0.220103i | ||||
\(149\) | − | 16.9706i | − | 1.39028i | −0.718873 | − | 0.695141i | \(-0.755342\pi\) | ||
0.718873 | − | 0.695141i | \(-0.244658\pi\) | |||||||
\(150\) | 0.656854 | + | 1.58579i | 0.0536319 | + | 0.129479i | ||||
\(151\) | 9.07107 | + | 9.07107i | 0.738193 | + | 0.738193i | 0.972228 | − | 0.234035i | \(-0.0751931\pi\) |
−0.234035 | + | 0.972228i | \(0.575193\pi\) | |||||||
\(152\) | −7.65685 | −0.621053 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.485281 | 0.0391051 | ||||||||
\(155\) | 4.24264 | + | 4.24264i | 0.340777 | + | 0.340777i | ||||
\(156\) | −2.58579 | − | 6.24264i | −0.207029 | − | 0.499811i | ||||
\(157\) | 1.65685i | 0.132231i | 0.997812 | + | 0.0661157i | \(0.0210606\pi\) | ||||
−0.997812 | + | 0.0661157i | \(0.978939\pi\) | |||||||
\(158\) | −1.58579 | + | 0.656854i | −0.126158 | + | 0.0522565i | ||||
\(159\) | 1.41421 | − | 3.41421i | 0.112154 | − | 0.270765i | ||||
\(160\) | 7.53553 | + | 3.12132i | 0.595736 | + | 0.246762i | ||||
\(161\) | −3.17157 | + | 3.17157i | −0.249955 | + | 0.249955i | ||||
\(162\) | −1.70711 | + | 1.70711i | −0.134123 | + | 0.134123i | ||||
\(163\) | 5.24264 | + | 2.17157i | 0.410635 | + | 0.170091i | 0.578431 | − | 0.815731i | \(-0.303665\pi\) |
−0.167796 | + | 0.985822i | \(0.553665\pi\) | |||||||
\(164\) | 5.70711 | − | 13.7782i | 0.445650 | − | 1.07589i | ||||
\(165\) | −4.82843 | + | 2.00000i | −0.375893 | + | 0.155700i | ||||
\(166\) | 0.142136i | 0.0110319i | ||||||||
\(167\) | 3.82843 | + | 9.24264i | 0.296253 | + | 0.715217i | 0.999989 | + | 0.00475555i | \(0.00151374\pi\) |
−0.703736 | + | 0.710461i | \(0.748486\pi\) | |||||||
\(168\) | 3.17157 | + | 3.17157i | 0.244692 | + | 0.244692i | ||||
\(169\) | 11.0000 | 0.846154 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 18.4853 | 1.41360 | ||||||||
\(172\) | −6.24264 | − | 6.24264i | −0.475997 | − | 0.475997i | ||||
\(173\) | −1.29289 | − | 3.12132i | −0.0982969 | − | 0.237310i | 0.867080 | − | 0.498169i | \(-0.165994\pi\) |
−0.965377 | + | 0.260859i | \(0.915994\pi\) | |||||||
\(174\) | − | 4.82843i | − | 0.366042i | ||||||
\(175\) | 1.58579 | − | 0.656854i | 0.119874 | − | 0.0496535i | ||||
\(176\) | 1.24264 | − | 3.00000i | 0.0936676 | − | 0.226134i | ||||
\(177\) | −14.4853 | − | 6.00000i | −1.08878 | − | 0.450988i | ||||
\(178\) | −2.75736 | + | 2.75736i | −0.206673 | + | 0.206673i | ||||
\(179\) | −4.24264 | + | 4.24264i | −0.317110 | + | 0.317110i | −0.847656 | − | 0.530546i | \(-0.821987\pi\) |
0.530546 | + | 0.847656i | \(0.321987\pi\) | |||||||
\(180\) | −11.9497 | − | 4.94975i | −0.890682 | − | 0.368932i | ||||
\(181\) | −4.77817 | + | 11.5355i | −0.355159 | + | 0.857429i | 0.640807 | + | 0.767702i | \(0.278600\pi\) |
−0.995966 | + | 0.0897278i | \(0.971400\pi\) | |||||||
\(182\) | 0.585786 | − | 0.242641i | 0.0434214 | − | 0.0179857i | ||||
\(183\) | 24.1421i | 1.78464i | ||||||||
\(184\) | −2.51472 | − | 6.07107i | −0.185388 | − | 0.447565i | ||||
\(185\) | 5.00000 | + | 5.00000i | 0.367607 | + | 0.367607i | ||||
\(186\) | −3.51472 | −0.257712 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −19.7990 | −1.44399 | ||||||||
\(189\) | −1.65685 | − | 1.65685i | −0.120518 | − | 0.120518i | ||||
\(190\) | 1.41421 | + | 3.41421i | 0.102598 | + | 0.247693i | ||||
\(191\) | 20.0000i | 1.44715i | 0.690246 | + | 0.723575i | \(0.257502\pi\) | ||||
−0.690246 | + | 0.723575i | \(0.742498\pi\) | |||||||
\(192\) | 10.0711 | − | 4.17157i | 0.726817 | − | 0.301057i | ||||
\(193\) | 2.12132 | − | 5.12132i | 0.152696 | − | 0.368641i | −0.828958 | − | 0.559310i | \(-0.811066\pi\) |
0.981654 | + | 0.190670i | \(0.0610660\pi\) | |||||||
\(194\) | −2.46447 | − | 1.02082i | −0.176938 | − | 0.0732903i | ||||
\(195\) | −4.82843 | + | 4.82843i | −0.345771 | + | 0.345771i | ||||
\(196\) | −7.53553 | + | 7.53553i | −0.538252 | + | 0.538252i | ||||
\(197\) | 13.7782 | + | 5.70711i | 0.981654 | + | 0.406615i | 0.815038 | − | 0.579407i | \(-0.196716\pi\) |
0.166616 | + | 0.986022i | \(0.446716\pi\) | |||||||
\(198\) | 0.656854 | − | 1.58579i | 0.0466806 | − | 0.112697i | ||||
\(199\) | 1.58579 | − | 0.656854i | 0.112413 | − | 0.0465632i | −0.325768 | − | 0.945450i | \(-0.605623\pi\) |
0.438181 | + | 0.898887i | \(0.355623\pi\) | |||||||
\(200\) | 2.51472i | 0.177817i | ||||||||
\(201\) | −6.82843 | − | 16.4853i | −0.481640 | − | 1.16278i | ||||
\(202\) | −3.92893 | − | 3.92893i | −0.276439 | − | 0.276439i | ||||
\(203\) | −4.82843 | −0.338889 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −15.0711 | −1.05261 | ||||||||
\(206\) | −1.31371 | − | 1.31371i | −0.0915304 | − | 0.0915304i | ||||
\(207\) | 6.07107 | + | 14.6569i | 0.421968 | + | 1.01872i | ||||
\(208\) | − | 4.24264i | − | 0.294174i | ||||||
\(209\) | 4.82843 | − | 2.00000i | 0.333989 | − | 0.138343i | ||||
\(210\) | 0.828427 | − | 2.00000i | 0.0571669 | − | 0.138013i | ||||
\(211\) | −13.8284 | − | 5.72792i | −0.951988 | − | 0.394326i | −0.148010 | − | 0.988986i | \(-0.547287\pi\) |
−0.803978 | + | 0.594659i | \(0.797287\pi\) | |||||||
\(212\) | 1.82843 | − | 1.82843i | 0.125577 | − | 0.125577i | ||||
\(213\) | 24.1421 | − | 24.1421i | 1.65419 | − | 1.65419i | ||||
\(214\) | 2.41421 | + | 1.00000i | 0.165032 | + | 0.0683586i | ||||
\(215\) | −3.41421 | + | 8.24264i | −0.232847 | + | 0.562143i | ||||
\(216\) | 3.17157 | − | 1.31371i | 0.215798 | − | 0.0893865i | ||||
\(217\) | 3.51472i | 0.238595i | ||||||||
\(218\) | −0.677670 | − | 1.63604i | −0.0458976 | − | 0.110807i | ||||
\(219\) | −9.89949 | − | 9.89949i | −0.668946 | − | 0.668946i | ||||
\(220\) | −3.65685 | −0.246545 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −4.14214 | −0.278002 | ||||||||
\(223\) | −0.585786 | − | 0.585786i | −0.0392272 | − | 0.0392272i | 0.687221 | − | 0.726448i | \(-0.258830\pi\) |
−0.726448 | + | 0.687221i | \(0.758830\pi\) | |||||||
\(224\) | 1.82843 | + | 4.41421i | 0.122167 | + | 0.294937i | ||||
\(225\) | − | 6.07107i | − | 0.404738i | ||||||
\(226\) | 6.19239 | − | 2.56497i | 0.411912 | − | 0.170619i | ||||
\(227\) | −1.92893 | + | 4.65685i | −0.128028 | + | 0.309086i | −0.974876 | − | 0.222748i | \(-0.928497\pi\) |
0.846848 | + | 0.531835i | \(0.178497\pi\) | |||||||
\(228\) | 21.3137 | + | 8.82843i | 1.41153 | + | 0.584677i | ||||
\(229\) | −16.1421 | + | 16.1421i | −1.06670 | + | 1.06670i | −0.0690921 | + | 0.997610i | \(0.522010\pi\) |
−0.997610 | + | 0.0690921i | \(0.977990\pi\) | |||||||
\(230\) | −2.24264 | + | 2.24264i | −0.147875 | + | 0.147875i | ||||
\(231\) | −2.82843 | − | 1.17157i | −0.186097 | − | 0.0770838i | ||||
\(232\) | 2.70711 | − | 6.53553i | 0.177730 | − | 0.429079i | ||||
\(233\) | −9.36396 | + | 3.87868i | −0.613453 | + | 0.254101i | −0.667704 | − | 0.744427i | \(-0.732723\pi\) |
0.0542508 | + | 0.998527i | \(0.482723\pi\) | |||||||
\(234\) | − | 2.24264i | − | 0.146606i | ||||||
\(235\) | 7.65685 | + | 18.4853i | 0.499478 | + | 1.20585i | ||||
\(236\) | −7.75736 | − | 7.75736i | −0.504961 | − | 0.504961i | ||||
\(237\) | 10.8284 | 0.703382 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 9.17157 | 0.593260 | 0.296630 | − | 0.954993i | \(-0.404137\pi\) | ||||
0.296630 | + | 0.954993i | \(0.404137\pi\) | |||||||
\(240\) | −10.2426 | − | 10.2426i | −0.661160 | − | 0.661160i | ||||
\(241\) | 4.70711 | + | 11.3640i | 0.303211 | + | 0.732017i | 0.999893 | + | 0.0146365i | \(0.00465910\pi\) |
−0.696681 | + | 0.717381i | \(0.745341\pi\) | |||||||
\(242\) | 4.07107i | 0.261698i | ||||||||
\(243\) | 20.0711 | − | 8.31371i | 1.28756 | − | 0.533325i | ||||
\(244\) | −6.46447 | + | 15.6066i | −0.413845 | + | 0.999110i | ||||
\(245\) | 9.94975 | + | 4.12132i | 0.635666 | + | 0.263301i | ||||
\(246\) | 6.24264 | − | 6.24264i | 0.398016 | − | 0.398016i | ||||
\(247\) | 4.82843 | − | 4.82843i | 0.307225 | − | 0.307225i | ||||
\(248\) | −4.75736 | − | 1.97056i | −0.302093 | − | 0.125131i | ||||
\(249\) | 0.343146 | − | 0.828427i | 0.0217460 | − | 0.0524994i | ||||
\(250\) | 4.65685 | − | 1.92893i | 0.294525 | − | 0.121996i | ||||
\(251\) | − | 3.51472i | − | 0.221847i | −0.993829 | − | 0.110924i | \(-0.964619\pi\) | ||
0.993829 | − | 0.110924i | \(-0.0353809\pi\) | |||||||
\(252\) | −2.89949 | − | 7.00000i | −0.182651 | − | 0.440959i | ||||
\(253\) | 3.17157 | + | 3.17157i | 0.199395 | + | 0.199395i | ||||
\(254\) | 7.17157 | 0.449985 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.97056 | 0.248160 | ||||||||
\(257\) | 15.6569 | + | 15.6569i | 0.976648 | + | 0.976648i | 0.999733 | − | 0.0230858i | \(-0.00734908\pi\) |
−0.0230858 | + | 0.999733i | \(0.507349\pi\) | |||||||
\(258\) | −2.00000 | − | 4.82843i | −0.124515 | − | 0.300605i | ||||
\(259\) | 4.14214i | 0.257380i | ||||||||
\(260\) | −4.41421 | + | 1.82843i | −0.273758 | + | 0.113394i | ||||
\(261\) | −6.53553 | + | 15.7782i | −0.404539 | + | 0.976644i | ||||
\(262\) | −0.0710678 | − | 0.0294373i | −0.00439058 | − | 0.00181864i | ||||
\(263\) | 4.58579 | − | 4.58579i | 0.282772 | − | 0.282772i | −0.551442 | − | 0.834213i | \(-0.685922\pi\) |
0.834213 | + | 0.551442i | \(0.185922\pi\) | |||||||
\(264\) | 3.17157 | − | 3.17157i | 0.195197 | − | 0.195197i | ||||
\(265\) | −2.41421 | − | 1.00000i | −0.148304 | − | 0.0614295i | ||||
\(266\) | −0.828427 | + | 2.00000i | −0.0507941 | + | 0.122628i | ||||
\(267\) | 22.7279 | − | 9.41421i | 1.39093 | − | 0.576141i | ||||
\(268\) | − | 12.4853i | − | 0.762660i | ||||||
\(269\) | 2.43503 | + | 5.87868i | 0.148466 | + | 0.358429i | 0.980564 | − | 0.196200i | \(-0.0628601\pi\) |
−0.832098 | + | 0.554629i | \(0.812860\pi\) | |||||||
\(270\) | −1.17157 | − | 1.17157i | −0.0712997 | − | 0.0712997i | ||||
\(271\) | −6.14214 | −0.373108 | −0.186554 | − | 0.982445i | \(-0.559732\pi\) | ||||
−0.186554 | + | 0.982445i | \(0.559732\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −4.00000 | −0.242091 | ||||||||
\(274\) | 2.55635 | + | 2.55635i | 0.154435 | + | 0.154435i | ||||
\(275\) | −0.656854 | − | 1.58579i | −0.0396098 | − | 0.0956265i | ||||
\(276\) | 19.7990i | 1.19176i | ||||||||
\(277\) | −20.3640 | + | 8.43503i | −1.22355 | + | 0.506812i | −0.898537 | − | 0.438897i | \(-0.855369\pi\) |
−0.325015 | + | 0.945709i | \(0.605369\pi\) | |||||||
\(278\) | 2.37258 | − | 5.72792i | 0.142298 | − | 0.343538i | ||||
\(279\) | 11.4853 | + | 4.75736i | 0.687606 | + | 0.284816i | ||||
\(280\) | 2.24264 | − | 2.24264i | 0.134023 | − | 0.134023i | ||||
\(281\) | 12.6569 | − | 12.6569i | 0.755045 | − | 0.755045i | −0.220371 | − | 0.975416i | \(-0.570727\pi\) |
0.975416 | + | 0.220371i | \(0.0707269\pi\) | |||||||
\(282\) | −10.8284 | − | 4.48528i | −0.644823 | − | 0.267095i | ||||
\(283\) | 8.75736 | − | 21.1421i | 0.520571 | − | 1.25677i | −0.416978 | − | 0.908917i | \(-0.636911\pi\) |
0.937549 | − | 0.347853i | \(-0.113089\pi\) | |||||||
\(284\) | 22.0711 | − | 9.14214i | 1.30968 | − | 0.542486i | ||||
\(285\) | − | 23.3137i | − | 1.38098i | ||||||
\(286\) | −0.242641 | − | 0.585786i | −0.0143476 | − | 0.0346383i | ||||
\(287\) | −6.24264 | − | 6.24264i | −0.368491 | − | 0.368491i | ||||
\(288\) | 16.8995 | 0.995812 | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | −3.41421 | −0.200490 | ||||||||
\(291\) | 11.8995 | + | 11.8995i | 0.697561 | + | 0.697561i | ||||
\(292\) | −3.74874 | − | 9.05025i | −0.219378 | − | 0.529626i | ||||
\(293\) | − | 23.6569i | − | 1.38205i | −0.722832 | − | 0.691024i | \(-0.757160\pi\) | ||
0.722832 | − | 0.691024i | \(-0.242840\pi\) | |||||||
\(294\) | −5.82843 | + | 2.41421i | −0.339921 | + | 0.140800i | ||||
\(295\) | −4.24264 | + | 10.2426i | −0.247016 | + | 0.596350i | ||||
\(296\) | −5.60660 | − | 2.32233i | −0.325877 | − | 0.134983i | ||||
\(297\) | −1.65685 | + | 1.65685i | −0.0961404 | + | 0.0961404i | ||||
\(298\) | 4.97056 | − | 4.97056i | 0.287937 | − | 0.287937i | ||||
\(299\) | 5.41421 | + | 2.24264i | 0.313112 | + | 0.129695i | ||||
\(300\) | 2.89949 | − | 7.00000i | 0.167402 | − | 0.404145i | ||||
\(301\) | −4.82843 | + | 2.00000i | −0.278306 | + | 0.115278i | ||||
\(302\) | 5.31371i | 0.305770i | ||||||||
\(303\) | 13.4142 | + | 32.3848i | 0.770626 | + | 1.86046i | ||||
\(304\) | 10.2426 | + | 10.2426i | 0.587456 | + | 0.587456i | ||||
\(305\) | 17.0711 | 0.977486 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.14214 | 0.122258 | 0.0611291 | − | 0.998130i | \(-0.480530\pi\) | ||||
0.0611291 | + | 0.998130i | \(0.480530\pi\) | |||||||
\(308\) | −1.51472 | − | 1.51472i | −0.0863091 | − | 0.0863091i | ||||
\(309\) | 4.48528 | + | 10.8284i | 0.255159 | + | 0.616008i | ||||
\(310\) | 2.48528i | 0.141154i | ||||||||
\(311\) | 4.17157 | − | 1.72792i | 0.236548 | − | 0.0979815i | −0.261261 | − | 0.965268i | \(-0.584138\pi\) |
0.497809 | + | 0.867287i | \(0.334138\pi\) | |||||||
\(312\) | 2.24264 | − | 5.41421i | 0.126965 | − | 0.306519i | ||||
\(313\) | 11.7782 | + | 4.87868i | 0.665742 | + | 0.275759i | 0.689852 | − | 0.723950i | \(-0.257675\pi\) |
−0.0241106 | + | 0.999709i | \(0.507675\pi\) | |||||||
\(314\) | −0.485281 | + | 0.485281i | −0.0273860 | + | 0.0273860i | ||||
\(315\) | −5.41421 | + | 5.41421i | −0.305056 | + | 0.305056i | ||||
\(316\) | 7.00000 | + | 2.89949i | 0.393781 | + | 0.163109i | ||||
\(317\) | −2.22183 | + | 5.36396i | −0.124790 | + | 0.301270i | −0.973912 | − | 0.226927i | \(-0.927132\pi\) |
0.849122 | + | 0.528198i | \(0.177132\pi\) | |||||||
\(318\) | 1.41421 | − | 0.585786i | 0.0793052 | − | 0.0328493i | ||||
\(319\) | 4.82843i | 0.270340i | ||||||||
\(320\) | −2.94975 | − | 7.12132i | −0.164896 | − | 0.398094i | ||||
\(321\) | −11.6569 | − | 11.6569i | −0.650622 | − | 0.650622i | ||||
\(322\) | −1.85786 | −0.103535 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 10.6569 | 0.592047 | ||||||||
\(325\) | −1.58579 | − | 1.58579i | −0.0879636 | − | 0.0879636i | ||||
\(326\) | 0.899495 | + | 2.17157i | 0.0498184 | + | 0.120272i | ||||
\(327\) | 11.1716i | 0.617789i | ||||||||
\(328\) | 11.9497 | − | 4.94975i | 0.659814 | − | 0.273304i | ||||
\(329\) | −4.48528 | + | 10.8284i | −0.247282 | + | 0.596991i | ||||
\(330\) | −2.00000 | − | 0.828427i | −0.110096 | − | 0.0456034i | ||||
\(331\) | 12.5858 | − | 12.5858i | 0.691777 | − | 0.691777i | −0.270845 | − | 0.962623i | \(-0.587303\pi\) |
0.962623 | + | 0.270845i | \(0.0873032\pi\) | |||||||
\(332\) | 0.443651 | − | 0.443651i | 0.0243485 | − | 0.0243485i | ||||
\(333\) | 13.5355 | + | 5.60660i | 0.741743 | + | 0.307240i | ||||
\(334\) | −1.58579 | + | 3.82843i | −0.0867704 | + | 0.209482i | ||||
\(335\) | −11.6569 | + | 4.82843i | −0.636882 | + | 0.263805i | ||||
\(336\) | − | 8.48528i | − | 0.462910i | ||||||
\(337\) | −13.1924 | − | 31.8492i | −0.718635 | − | 1.73494i | −0.677202 | − | 0.735798i | \(-0.736808\pi\) |
−0.0414336 | − | 0.999141i | \(-0.513192\pi\) | |||||||
\(338\) | 3.22183 | + | 3.22183i | 0.175244 | + | 0.175244i | ||||
\(339\) | −42.2843 | −2.29657 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.51472 | 0.190333 | ||||||||
\(342\) | 5.41421 | + | 5.41421i | 0.292767 | + | 0.292767i | ||||
\(343\) | 5.31371 | + | 12.8284i | 0.286913 | + | 0.692670i | ||||
\(344\) | − | 7.65685i | − | 0.412830i | ||||||
\(345\) | 18.4853 | − | 7.65685i | 0.995214 | − | 0.412231i | ||||
\(346\) | 0.535534 | − | 1.29289i | 0.0287905 | − | 0.0695064i | ||||
\(347\) | 3.58579 | + | 1.48528i | 0.192495 | + | 0.0797341i | 0.476849 | − | 0.878985i | \(-0.341779\pi\) |
−0.284354 | + | 0.958719i | \(0.591779\pi\) | |||||||
\(348\) | −15.0711 | + | 15.0711i | −0.807894 | + | 0.807894i | ||||
\(349\) | −3.00000 | + | 3.00000i | −0.160586 | + | 0.160586i | −0.782826 | − | 0.622240i | \(-0.786223\pi\) |
0.622240 | + | 0.782826i | \(0.286223\pi\) | |||||||
\(350\) | 0.656854 | + | 0.272078i | 0.0351103 | + | 0.0145432i | ||||
\(351\) | −1.17157 | + | 2.82843i | −0.0625339 | + | 0.150970i | ||||
\(352\) | 4.41421 | − | 1.82843i | 0.235278 | − | 0.0974555i | ||||
\(353\) | 14.0000i | 0.745145i | 0.928003 | + | 0.372572i | \(0.121524\pi\) | ||||
−0.928003 | + | 0.372572i | \(0.878476\pi\) | |||||||
\(354\) | −2.48528 | − | 6.00000i | −0.132091 | − | 0.318896i | ||||
\(355\) | −17.0711 | − | 17.0711i | −0.906038 | − | 0.906038i | ||||
\(356\) | 17.2132 | 0.912298 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.48528 | −0.131351 | ||||||||
\(359\) | −16.3848 | − | 16.3848i | −0.864755 | − | 0.864755i | 0.127131 | − | 0.991886i | \(-0.459423\pi\) |
−0.991886 | + | 0.127131i | \(0.959423\pi\) | |||||||
\(360\) | −4.29289 | − | 10.3640i | −0.226255 | − | 0.546229i | ||||
\(361\) | 4.31371i | 0.227037i | ||||||||
\(362\) | −4.77817 | + | 1.97918i | −0.251135 | + | 0.104024i | ||||
\(363\) | 9.82843 | − | 23.7279i | 0.515859 | − | 1.24539i | ||||
\(364\) | −2.58579 | − | 1.07107i | −0.135532 | − | 0.0561392i | ||||
\(365\) | −7.00000 | + | 7.00000i | −0.366397 | + | 0.366397i | ||||
\(366\) | −7.07107 | + | 7.07107i | −0.369611 | + | 0.369611i | ||||
\(367\) | −24.3137 | − | 10.0711i | −1.26917 | − | 0.525705i | −0.356455 | − | 0.934313i | \(-0.616015\pi\) |
−0.912710 | + | 0.408607i | \(0.866015\pi\) | |||||||
\(368\) | −4.75736 | + | 11.4853i | −0.247994 | + | 0.598712i | ||||
\(369\) | −28.8492 | + | 11.9497i | −1.50183 | + | 0.622079i | ||||
\(370\) | 2.92893i | 0.152268i | ||||||||
\(371\) | −0.585786 | − | 1.41421i | −0.0304125 | − | 0.0734223i | ||||
\(372\) | 10.9706 | + | 10.9706i | 0.568797 | + | 0.568797i | ||||
\(373\) | −19.5563 | −1.01259 | −0.506295 | − | 0.862361i | \(-0.668985\pi\) | ||||
−0.506295 | + | 0.862361i | \(0.668985\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −31.7990 | −1.64209 | ||||||||
\(376\) | −12.1421 | − | 12.1421i | −0.626183 | − | 0.626183i | ||||
\(377\) | 2.41421 | + | 5.82843i | 0.124338 | + | 0.300179i | ||||
\(378\) | − | 0.970563i | − | 0.0499204i | ||||||
\(379\) | −1.00000 | + | 0.414214i | −0.0513665 | + | 0.0212767i | −0.408219 | − | 0.912884i | \(-0.633850\pi\) |
0.356852 | + | 0.934161i | \(0.383850\pi\) | |||||||
\(380\) | 6.24264 | − | 15.0711i | 0.320241 | − | 0.773129i | ||||
\(381\) | −41.7990 | − | 17.3137i | −2.14143 | − | 0.887008i | ||||
\(382\) | −5.85786 | + | 5.85786i | −0.299714 | + | 0.299714i | ||||
\(383\) | −3.89949 | + | 3.89949i | −0.199255 | + | 0.199255i | −0.799681 | − | 0.600426i | \(-0.794998\pi\) |
0.600426 | + | 0.799681i | \(0.294998\pi\) | |||||||
\(384\) | 25.4853 | + | 10.5563i | 1.30054 | + | 0.538701i | ||||
\(385\) | −0.828427 | + | 2.00000i | −0.0422206 | + | 0.101929i | ||||
\(386\) | 2.12132 | − | 0.878680i | 0.107972 | − | 0.0447236i | ||||
\(387\) | 18.4853i | 0.939660i | ||||||||
\(388\) | 4.50610 | + | 10.8787i | 0.228762 | + | 0.552281i | ||||
\(389\) | 11.4142 | + | 11.4142i | 0.578724 | + | 0.578724i | 0.934551 | − | 0.355828i | \(-0.115801\pi\) |
−0.355828 | + | 0.934551i | \(0.615801\pi\) | |||||||
\(390\) | −2.82843 | −0.143223 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −9.24264 | −0.466824 | ||||||||
\(393\) | 0.343146 | + | 0.343146i | 0.0173094 | + | 0.0173094i | ||||
\(394\) | 2.36396 | + | 5.70711i | 0.119095 | + | 0.287520i | ||||
\(395\) | − | 7.65685i | − | 0.385258i | ||||||
\(396\) | −7.00000 | + | 2.89949i | −0.351763 | + | 0.145705i | ||||
\(397\) | 10.4350 | − | 25.1924i | 0.523719 | − | 1.26437i | −0.411858 | − | 0.911248i | \(-0.635120\pi\) |
0.935577 | − | 0.353122i | \(-0.114880\pi\) | |||||||
\(398\) | 0.656854 | + | 0.272078i | 0.0329251 | + | 0.0136380i | ||||
\(399\) | 9.65685 | − | 9.65685i | 0.483447 | − | 0.483447i | ||||
\(400\) | 3.36396 | − | 3.36396i | 0.168198 | − | 0.168198i | ||||
\(401\) | −15.7782 | − | 6.53553i | −0.787924 | − | 0.326369i | −0.0478157 | − | 0.998856i | \(-0.515226\pi\) |
−0.740109 | + | 0.672487i | \(0.765226\pi\) | |||||||
\(402\) | 2.82843 | − | 6.82843i | 0.141069 | − | 0.340571i | ||||
\(403\) | 4.24264 | − | 1.75736i | 0.211341 | − | 0.0875403i | ||||
\(404\) | 24.5269i | 1.22026i | ||||||||
\(405\) | −4.12132 | − | 9.94975i | −0.204790 | − | 0.494407i | ||||
\(406\) | −1.41421 | − | 1.41421i | −0.0701862 | − | 0.0701862i | ||||
\(407\) | 4.14214 | 0.205318 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.3137 | 0.955001 | 0.477501 | − | 0.878631i | \(-0.341543\pi\) | ||||
0.477501 | + | 0.878631i | \(0.341543\pi\) | |||||||
\(410\) | −4.41421 | − | 4.41421i | −0.218002 | − | 0.218002i | ||||
\(411\) | −8.72792 | − | 21.0711i | −0.430517 | − | 1.03936i | ||||
\(412\) | 8.20101i | 0.404035i | ||||||||
\(413\) | −6.00000 | + | 2.48528i | −0.295241 | + | 0.122293i | ||||
\(414\) | −2.51472 | + | 6.07107i | −0.123592 | + | 0.298377i | ||||
\(415\) | −0.585786 | − | 0.242641i | −0.0287551 | − | 0.0119108i | ||||
\(416\) | 4.41421 | − | 4.41421i | 0.216425 | − | 0.216425i | ||||
\(417\) | −27.6569 | + | 27.6569i | −1.35436 | + | 1.35436i | ||||
\(418\) | 2.00000 | + | 0.828427i | 0.0978232 | + | 0.0405197i | ||||
\(419\) | −10.3137 | + | 24.8995i | −0.503858 | + | 1.21642i | 0.443509 | + | 0.896270i | \(0.353733\pi\) |
−0.947367 | + | 0.320150i | \(0.896267\pi\) | |||||||
\(420\) | −8.82843 | + | 3.65685i | −0.430783 | + | 0.178436i | ||||
\(421\) | − | 17.4142i | − | 0.848717i | −0.905494 | − | 0.424358i | \(-0.860500\pi\) | ||
0.905494 | − | 0.424358i | \(-0.139500\pi\) | |||||||
\(422\) | −2.37258 | − | 5.72792i | −0.115496 | − | 0.278831i | ||||
\(423\) | 29.3137 | + | 29.3137i | 1.42528 | + | 1.42528i | ||||
\(424\) | 2.24264 | 0.108912 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 14.1421 | 0.685189 | ||||||||
\(427\) | 7.07107 | + | 7.07107i | 0.342193 | + | 0.342193i | ||||
\(428\) | −4.41421 | − | 10.6569i | −0.213369 | − | 0.515118i | ||||
\(429\) | 4.00000i | 0.193122i | ||||||||
\(430\) | −3.41421 | + | 1.41421i | −0.164648 | + | 0.0681994i | ||||
\(431\) | −15.2426 | + | 36.7990i | −0.734212 | + | 1.77254i | −0.106195 | + | 0.994345i | \(0.533867\pi\) |
−0.628017 | + | 0.778200i | \(0.716133\pi\) | |||||||
\(432\) | −6.00000 | − | 2.48528i | −0.288675 | − | 0.119573i | ||||
\(433\) | 10.7279 | − | 10.7279i | 0.515551 | − | 0.515551i | −0.400671 | − | 0.916222i | \(-0.631223\pi\) |
0.916222 | + | 0.400671i | \(0.131223\pi\) | |||||||
\(434\) | −1.02944 | + | 1.02944i | −0.0494146 | + | 0.0494146i | ||||
\(435\) | 19.8995 | + | 8.24264i | 0.954108 | + | 0.395204i | ||||
\(436\) | −2.99138 | + | 7.22183i | −0.143261 | + | 0.345863i | ||||
\(437\) | −18.4853 | + | 7.65685i | −0.884271 | + | 0.366277i | ||||
\(438\) | − | 5.79899i | − | 0.277086i | ||||||
\(439\) | 4.17157 | + | 10.0711i | 0.199098 | + | 0.480666i | 0.991622 | − | 0.129176i | \(-0.0412331\pi\) |
−0.792523 | + | 0.609841i | \(0.791233\pi\) | |||||||
\(440\) | −2.24264 | − | 2.24264i | −0.106914 | − | 0.106914i | ||||
\(441\) | 22.3137 | 1.06256 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.7990 | 0.750633 | 0.375316 | − | 0.926897i | \(-0.377534\pi\) | ||||
0.375316 | + | 0.926897i | \(0.377534\pi\) | |||||||
\(444\) | 12.9289 | + | 12.9289i | 0.613580 | + | 0.613580i | ||||
\(445\) | −6.65685 | − | 16.0711i | −0.315565 | − | 0.761842i | ||||
\(446\) | − | 0.343146i | − | 0.0162484i | ||||||
\(447\) | −40.9706 | + | 16.9706i | −1.93784 | + | 0.802680i | ||||
\(448\) | 1.72792 | − | 4.17157i | 0.0816366 | − | 0.197088i | ||||
\(449\) | 17.3640 | + | 7.19239i | 0.819456 | + | 0.339430i | 0.752720 | − | 0.658341i | \(-0.228741\pi\) |
0.0667361 | + | 0.997771i | \(0.478741\pi\) | |||||||
\(450\) | 1.77817 | − | 1.77817i | 0.0838240 | − | 0.0838240i | ||||
\(451\) | −6.24264 | + | 6.24264i | −0.293954 | + | 0.293954i | ||||
\(452\) | −27.3345 | − | 11.3223i | −1.28571 | − | 0.532558i | ||||
\(453\) | 12.8284 | − | 30.9706i | 0.602732 | − | 1.45512i | ||||
\(454\) | −1.92893 | + | 0.798990i | −0.0905293 | + | 0.0374985i | ||||
\(455\) | 2.82843i | 0.132599i | ||||||||
\(456\) | 7.65685 | + | 18.4853i | 0.358565 | + | 0.865653i | ||||
\(457\) | 13.3137 | + | 13.3137i | 0.622789 | + | 0.622789i | 0.946244 | − | 0.323455i | \(-0.104844\pi\) |
−0.323455 | + | 0.946244i | \(0.604844\pi\) | |||||||
\(458\) | −9.45584 | −0.441843 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 14.0000 | 0.652753 | ||||||||
\(461\) | −17.0000 | − | 17.0000i | −0.791769 | − | 0.791769i | 0.190013 | − | 0.981782i | \(-0.439147\pi\) |
−0.981782 | + | 0.190013i | \(0.939147\pi\) | |||||||
\(462\) | −0.485281 | − | 1.17157i | −0.0225773 | − | 0.0545065i | ||||
\(463\) | − | 30.6274i | − | 1.42338i | −0.702495 | − | 0.711688i | \(-0.747931\pi\) | ||
0.702495 | − | 0.711688i | \(-0.252069\pi\) | |||||||
\(464\) | −12.3640 | + | 5.12132i | −0.573982 | + | 0.237751i | ||||
\(465\) | 6.00000 | − | 14.4853i | 0.278243 | − | 0.671739i | ||||
\(466\) | −3.87868 | − | 1.60660i | −0.179676 | − | 0.0744244i | ||||
\(467\) | −8.92893 | + | 8.92893i | −0.413182 | + | 0.413182i | −0.882845 | − | 0.469664i | \(-0.844375\pi\) |
0.469664 | + | 0.882845i | \(0.344375\pi\) | |||||||
\(468\) | −7.00000 | + | 7.00000i | −0.323575 | + | 0.323575i | ||||
\(469\) | −6.82843 | − | 2.82843i | −0.315307 | − | 0.130605i | ||||
\(470\) | −3.17157 | + | 7.65685i | −0.146294 | + | 0.353184i | ||||
\(471\) | 4.00000 | − | 1.65685i | 0.184310 | − | 0.0763438i | ||||
\(472\) | − | 9.51472i | − | 0.437950i | ||||||
\(473\) | 2.00000 | + | 4.82843i | 0.0919601 | + | 0.222011i | ||||
\(474\) | 3.17157 | + | 3.17157i | 0.145675 | + | 0.145675i | ||||
\(475\) | 7.65685 | 0.351321 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.41421 | −0.247900 | ||||||||
\(478\) | 2.68629 | + | 2.68629i | 0.122868 | + | 0.122868i | ||||
\(479\) | −13.2426 | − | 31.9706i | −0.605072 | − | 1.46077i | −0.868300 | − | 0.496039i | \(-0.834787\pi\) |
0.263229 | − | 0.964733i | \(-0.415213\pi\) | |||||||
\(480\) | − | 21.3137i | − | 0.972833i | ||||||
\(481\) | 5.00000 | − | 2.07107i | 0.227980 | − | 0.0944326i | ||||
\(482\) | −1.94975 | + | 4.70711i | −0.0888086 | + | 0.214403i | ||||
\(483\) | 10.8284 | + | 4.48528i | 0.492710 | + | 0.204087i | ||||
\(484\) | 12.7071 | − | 12.7071i | 0.577596 | − | 0.577596i | ||||
\(485\) | 8.41421 | − | 8.41421i | 0.382070 | − | 0.382070i | ||||
\(486\) | 8.31371 | + | 3.44365i | 0.377117 | + | 0.156207i | ||||
\(487\) | −1.68629 | + | 4.07107i | −0.0764132 | + | 0.184478i | −0.957470 | − | 0.288533i | \(-0.906833\pi\) |
0.881057 | + | 0.473010i | \(0.156833\pi\) | |||||||
\(488\) | −13.5355 | + | 5.60660i | −0.612725 | + | 0.253799i | ||||
\(489\) | − | 14.8284i | − | 0.670565i | ||||||
\(490\) | 1.70711 | + | 4.12132i | 0.0771192 | + | 0.186182i | ||||
\(491\) | −17.7574 | − | 17.7574i | −0.801378 | − | 0.801378i | 0.181933 | − | 0.983311i | \(-0.441765\pi\) |
−0.983311 | + | 0.181933i | \(0.941765\pi\) | |||||||
\(492\) | −38.9706 | −1.75693 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 2.82843 | 0.127257 | ||||||||
\(495\) | 5.41421 | + | 5.41421i | 0.243351 | + | 0.243351i | ||||
\(496\) | 3.72792 | + | 9.00000i | 0.167389 | + | 0.404112i | ||||
\(497\) | − | 14.1421i | − | 0.634361i | ||||||
\(498\) | 0.343146 | − | 0.142136i | 0.0153767 | − | 0.00636925i | ||||
\(499\) | 14.1716 | − | 34.2132i | 0.634407 | − | 1.53159i | −0.199622 | − | 0.979873i | \(-0.563972\pi\) |
0.834029 | − | 0.551720i | \(-0.186028\pi\) | |||||||
\(500\) | −20.5563 | − | 8.51472i | −0.919308 | − | 0.380790i | ||||
\(501\) | 18.4853 | − | 18.4853i | 0.825861 | − | 0.825861i | ||||
\(502\) | 1.02944 | − | 1.02944i | 0.0459460 | − | 0.0459460i | ||||
\(503\) | −13.8284 | − | 5.72792i | −0.616579 | − | 0.255395i | 0.0524595 | − | 0.998623i | \(-0.483294\pi\) |
−0.669039 | + | 0.743228i | \(0.733294\pi\) | |||||||
\(504\) | 2.51472 | − | 6.07107i | 0.112014 | − | 0.270427i | ||||
\(505\) | 22.8995 | − | 9.48528i | 1.01901 | − | 0.422089i | ||||
\(506\) | 1.85786i | 0.0825921i | ||||||||
\(507\) | −11.0000 | − | 26.5563i | −0.488527 | − | 1.17941i | ||||
\(508\) | −22.3848 | − | 22.3848i | −0.993164 | − | 0.993164i | ||||
\(509\) | −3.02944 | −0.134277 | −0.0671387 | − | 0.997744i | \(-0.521387\pi\) | ||||
−0.0671387 | + | 0.997744i | \(0.521387\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.79899 | −0.256532 | ||||||||
\(512\) | 16.0919 | + | 16.0919i | 0.711167 | + | 0.711167i | ||||
\(513\) | −4.00000 | − | 9.65685i | −0.176604 | − | 0.426361i | ||||
\(514\) | 9.17157i | 0.404541i | ||||||||
\(515\) | 7.65685 | − | 3.17157i | 0.337401 | − | 0.139756i | ||||
\(516\) | −8.82843 | + | 21.3137i | −0.388650 | + | 0.938284i | ||||
\(517\) | 10.8284 | + | 4.48528i | 0.476234 | + | 0.197262i | ||||
\(518\) | −1.21320 | + | 1.21320i | −0.0533051 | + | 0.0533051i | ||||
\(519\) | −6.24264 | + | 6.24264i | −0.274022 | + | 0.274022i | ||||
\(520\) | −3.82843 | − | 1.58579i | −0.167888 | − | 0.0695413i | ||||
\(521\) | 1.19239 | − | 2.87868i | 0.0522395 | − | 0.126117i | −0.895605 | − | 0.444850i | \(-0.853257\pi\) |
0.947845 | + | 0.318732i | \(0.103257\pi\) | |||||||
\(522\) | −6.53553 | + | 2.70711i | −0.286053 | + | 0.118487i | ||||
\(523\) | − | 6.82843i | − | 0.298586i | −0.988793 | − | 0.149293i | \(-0.952300\pi\) | ||
0.988793 | − | 0.149293i | \(-0.0476998\pi\) | |||||||
\(524\) | 0.129942 | + | 0.313708i | 0.00567656 | + | 0.0137044i | ||||
\(525\) | −3.17157 | − | 3.17157i | −0.138419 | − | 0.138419i | ||||
\(526\) | 2.68629 | 0.117128 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −8.48528 | −0.369274 | ||||||||
\(529\) | 4.12132 | + | 4.12132i | 0.179188 | + | 0.179188i | ||||
\(530\) | −0.414214 | − | 1.00000i | −0.0179923 | − | 0.0434372i | ||||
\(531\) | 22.9706i | 0.996838i | ||||||||
\(532\) | 8.82843 | − | 3.65685i | 0.382761 | − | 0.158545i | ||||
\(533\) | −4.41421 | + | 10.6569i | −0.191201 | + | 0.461600i | ||||
\(534\) | 9.41421 | + | 3.89949i | 0.407393 | + | 0.168748i | ||||
\(535\) | −8.24264 | + | 8.24264i | −0.356360 | + | 0.356360i | ||||
\(536\) | 7.65685 | − | 7.65685i | 0.330726 | − | 0.330726i | ||||
\(537\) | 14.4853 | + | 6.00000i | 0.625086 | + | 0.258919i | ||||
\(538\) | −1.00862 | + | 2.43503i | −0.0434848 | + | 0.104982i | ||||
\(539\) | 5.82843 | − | 2.41421i | 0.251048 | − | 0.103988i | ||||
\(540\) | 7.31371i | 0.314732i | ||||||||
\(541\) | −7.02082 | − | 16.9497i | −0.301848 | − | 0.728727i | −0.999919 | − | 0.0126980i | \(-0.995958\pi\) |
0.698071 | − | 0.716029i | \(-0.254042\pi\) | |||||||
\(542\) | −1.79899 | − | 1.79899i | −0.0772732 | − | 0.0772732i | ||||
\(543\) | 32.6274 | 1.40018 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 7.89949 | 0.338377 | ||||||||
\(546\) | −1.17157 | − | 1.17157i | −0.0501387 | − | 0.0501387i | ||||
\(547\) | 9.48528 | + | 22.8995i | 0.405561 | + | 0.979112i | 0.986291 | + | 0.165015i | \(0.0527673\pi\) |
−0.580730 | + | 0.814096i | \(0.697233\pi\) | |||||||
\(548\) | − | 15.9584i | − | 0.681708i | ||||||
\(549\) | 32.6777 | − | 13.5355i | 1.39465 | − | 0.577683i | ||||
\(550\) | 0.272078 | − | 0.656854i | 0.0116014 | − | 0.0280084i | ||||
\(551\) | −19.8995 | − | 8.24264i | −0.847747 | − | 0.351148i | ||||
\(552\) | −12.1421 | + | 12.1421i | −0.516804 | + | 0.516804i | ||||
\(553\) | 3.17157 | − | 3.17157i | 0.134869 | − | 0.134869i | ||||
\(554\) | −8.43503 | − | 3.49390i | −0.358370 | − | 0.148442i | ||||
\(555\) | 7.07107 | − | 17.0711i | 0.300150 | − | 0.724626i | ||||
\(556\) | −25.2843 | + | 10.4731i | −1.07229 | + | 0.444158i | ||||
\(557\) | 28.2426i | 1.19668i | 0.801243 | + | 0.598340i | \(0.204173\pi\) | ||||
−0.801243 | + | 0.598340i | \(0.795827\pi\) | |||||||
\(558\) | 1.97056 | + | 4.75736i | 0.0834206 | + | 0.201395i | ||||
\(559\) | 4.82843 | + | 4.82843i | 0.204221 | + | 0.204221i | ||||
\(560\) | −6.00000 | −0.253546 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 7.41421 | 0.312750 | ||||||||
\(563\) | −27.4142 | − | 27.4142i | −1.15537 | − | 1.15537i | −0.985459 | − | 0.169912i | \(-0.945652\pi\) |
−0.169912 | − | 0.985459i | \(-0.554348\pi\) | |||||||
\(564\) | 19.7990 | + | 47.7990i | 0.833688 | + | 2.01270i | ||||
\(565\) | 29.8995i | 1.25788i | ||||||||
\(566\) | 8.75736 | − | 3.62742i | 0.368099 | − | 0.152472i | ||||
\(567\) | 2.41421 | − | 5.82843i | 0.101387 | − | 0.244771i | ||||
\(568\) | 19.1421 | + | 7.92893i | 0.803186 | + | 0.332691i | ||||
\(569\) | −25.4853 | + | 25.4853i | −1.06840 | + | 1.06840i | −0.0709163 | + | 0.997482i | \(0.522592\pi\) |
−0.997482 | + | 0.0709163i | \(0.977408\pi\) | |||||||
\(570\) | 6.82843 | − | 6.82843i | 0.286011 | − | 0.286011i | ||||
\(571\) | 43.6274 | + | 18.0711i | 1.82575 | + | 0.756251i | 0.971764 | + | 0.235956i | \(0.0758221\pi\) |
0.853987 | + | 0.520295i | \(0.174178\pi\) | |||||||
\(572\) | −1.07107 | + | 2.58579i | −0.0447836 | + | 0.108117i | ||||
\(573\) | 48.2843 | − | 20.0000i | 2.01710 | − | 0.835512i | ||||
\(574\) | − | 3.65685i | − | 0.152634i | ||||||
\(575\) | 2.51472 | + | 6.07107i | 0.104871 | + | 0.253181i | ||||
\(576\) | −11.2929 | − | 11.2929i | −0.470537 | − | 0.470537i | ||||
\(577\) | −12.9289 | −0.538238 | −0.269119 | − | 0.963107i | \(-0.586733\pi\) | ||||
−0.269119 | + | 0.963107i | \(0.586733\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −14.4853 | −0.601988 | ||||||||
\(580\) | 10.6569 | + | 10.6569i | 0.442502 | + | 0.442502i | ||||
\(581\) | −0.142136 | − | 0.343146i | −0.00589678 | − | 0.0142361i | ||||
\(582\) | 6.97056i | 0.288939i | ||||||||
\(583\) | −1.41421 | + | 0.585786i | −0.0585707 | + | 0.0242608i | ||||
\(584\) | 3.25126 | − | 7.84924i | 0.134538 | − | 0.324804i | ||||
\(585\) | 9.24264 | + | 3.82843i | 0.382136 | + | 0.158286i | ||||
\(586\) | 6.92893 | − | 6.92893i | 0.286232 | − | 0.286232i | ||||
\(587\) | 16.0416 | − | 16.0416i | 0.662109 | − | 0.662109i | −0.293768 | − | 0.955877i | \(-0.594909\pi\) |
0.955877 | + | 0.293768i | \(0.0949093\pi\) | |||||||
\(588\) | 25.7279 | + | 10.6569i | 1.06100 | + | 0.439481i | ||||
\(589\) | −6.00000 | + | 14.4853i | −0.247226 | + | 0.596856i | ||||
\(590\) | −4.24264 | + | 1.75736i | −0.174667 | + | 0.0723493i | ||||
\(591\) | − | 38.9706i | − | 1.60303i | ||||||
\(592\) | 4.39340 | + | 10.6066i | 0.180568 | + | 0.435929i | ||||
\(593\) | 19.1421 | + | 19.1421i | 0.786073 | + | 0.786073i | 0.980848 | − | 0.194775i | \(-0.0623976\pi\) |
−0.194775 | + | 0.980848i | \(0.562398\pi\) | |||||||
\(594\) | −0.970563 | −0.0398227 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −31.0294 | −1.27102 | ||||||||
\(597\) | −3.17157 | − | 3.17157i | −0.129804 | − | 0.129804i | ||||
\(598\) | 0.928932 | + | 2.24264i | 0.0379869 | + | 0.0917084i | ||||
\(599\) | 34.6274i | 1.41484i | 0.706794 | + | 0.707419i | \(0.250141\pi\) | ||||
−0.706794 | + | 0.707419i | \(0.749859\pi\) | |||||||
\(600\) | 6.07107 | − | 2.51472i | 0.247850 | − | 0.102663i | ||||
\(601\) | −7.77817 | + | 18.7782i | −0.317278 | + | 0.765978i | 0.682118 | + | 0.731242i | \(0.261059\pi\) |
−0.999397 | + | 0.0347358i | \(0.988941\pi\) | |||||||
\(602\) | −2.00000 | − | 0.828427i | −0.0815139 | − | 0.0337642i | ||||
\(603\) | −18.4853 | + | 18.4853i | −0.752779 | + | 0.752779i | ||||
\(604\) | 16.5858 | − | 16.5858i | 0.674866 | − | 0.674866i | ||||
\(605\) | −16.7782 | − | 6.94975i | −0.682130 | − | 0.282547i | ||||
\(606\) | −5.55635 | + | 13.4142i | −0.225711 | + | 0.544915i | ||||
\(607\) | 31.7279 | − | 13.1421i | 1.28780 | − | 0.533423i | 0.369469 | − | 0.929243i | \(-0.379540\pi\) |
0.918328 | + | 0.395820i | \(0.129540\pi\) | |||||||
\(608\) | 21.3137i | 0.864385i | ||||||||
\(609\) | 4.82843 | + | 11.6569i | 0.195658 | + | 0.472360i | ||||
\(610\) | 5.00000 | + | 5.00000i | 0.202444 | + | 0.202444i | ||||
\(611\) | 15.3137 | 0.619526 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.3137 | −0.699294 | −0.349647 | − | 0.936881i | \(-0.613698\pi\) | ||||
−0.349647 | + | 0.936881i | \(0.613698\pi\) | |||||||
\(614\) | 0.627417 | + | 0.627417i | 0.0253205 | + | 0.0253205i | ||||
\(615\) | 15.0711 | + | 36.3848i | 0.607724 | + | 1.46718i | ||||
\(616\) | − | 1.85786i | − | 0.0748555i | ||||||
\(617\) | 3.12132 | − | 1.29289i | 0.125660 | − | 0.0520499i | −0.318968 | − | 0.947766i | \(-0.603336\pi\) |
0.444627 | + | 0.895716i | \(0.353336\pi\) | |||||||
\(618\) | −1.85786 | + | 4.48528i | −0.0747343 | + | 0.180424i | ||||
\(619\) | −8.89949 | − | 3.68629i | −0.357701 | − | 0.148165i | 0.196594 | − | 0.980485i | \(-0.437012\pi\) |
−0.554295 | + | 0.832320i | \(0.687012\pi\) | |||||||
\(620\) | 7.75736 | − | 7.75736i | 0.311543 | − | 0.311543i | ||||
\(621\) | 6.34315 | − | 6.34315i | 0.254542 | − | 0.254542i | ||||
\(622\) | 1.72792 | + | 0.715729i | 0.0692834 | + | 0.0286981i | ||||
\(623\) | 3.89949 | − | 9.41421i | 0.156230 | − | 0.377173i | ||||
\(624\) | −10.2426 | + | 4.24264i | −0.410034 | + | 0.169842i | ||||
\(625\) | 14.5563i | 0.582254i | ||||||||
\(626\) | 2.02082 | + | 4.87868i | 0.0807680 | + | 0.194991i | ||||
\(627\) | −9.65685 | − | 9.65685i | −0.385658 | − | 0.385658i | ||||
\(628\) | 3.02944 | 0.120888 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −3.17157 | −0.126358 | ||||||||
\(631\) | −4.72792 | − | 4.72792i | −0.188216 | − | 0.188216i | 0.606709 | − | 0.794924i | \(-0.292489\pi\) |
−0.794924 | + | 0.606709i | \(0.792489\pi\) | |||||||
\(632\) | 2.51472 | + | 6.07107i | 0.100030 | + | 0.241494i | ||||
\(633\) | 39.1127i | 1.55459i | ||||||||
\(634\) | −2.22183 | + | 0.920310i | −0.0882400 | + | 0.0365502i | ||||
\(635\) | −12.2426 | + | 29.5563i | −0.485834 | + | 1.17291i | ||||
\(636\) | −6.24264 | − | 2.58579i | −0.247537 | − | 0.102533i | ||||
\(637\) | 5.82843 | − | 5.82843i | 0.230931 | − | 0.230931i | ||||
\(638\) | −1.41421 | + | 1.41421i | −0.0559893 | + | 0.0559893i | ||||
\(639\) | −46.2132 | − | 19.1421i | −1.82817 | − | 0.757251i | ||||
\(640\) | 7.46447 | − | 18.0208i | 0.295059 | − | 0.712335i | ||||
\(641\) | 13.8492 | − | 5.73654i | 0.547012 | − | 0.226580i | −0.0920237 | − | 0.995757i | \(-0.529334\pi\) |
0.639036 | + | 0.769177i | \(0.279334\pi\) | |||||||
\(642\) | − | 6.82843i | − | 0.269497i | ||||||
\(643\) | −15.3431 | − | 37.0416i | −0.605075 | − | 1.46078i | −0.868297 | − | 0.496044i | \(-0.834785\pi\) |
0.263223 | − | 0.964735i | \(-0.415215\pi\) | |||||||
\(644\) | 5.79899 | + | 5.79899i | 0.228512 | + | 0.228512i | ||||
\(645\) | 23.3137 | 0.917976 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.82843 | 0.111197 | 0.0555985 | − | 0.998453i | \(-0.482293\pi\) | ||||
0.0555985 | + | 0.998453i | \(0.482293\pi\) | |||||||
\(648\) | 6.53553 | + | 6.53553i | 0.256740 | + | 0.256740i | ||||
\(649\) | 2.48528 | + | 6.00000i | 0.0975558 | + | 0.235521i | ||||
\(650\) | − | 0.928932i | − | 0.0364357i | ||||||
\(651\) | 8.48528 | − | 3.51472i | 0.332564 | − | 0.137753i | ||||
\(652\) | 3.97056 | − | 9.58579i | 0.155499 | − | 0.375408i | ||||
\(653\) | 16.3640 | + | 6.77817i | 0.640371 | + | 0.265250i | 0.679152 | − | 0.733997i | \(-0.262348\pi\) |
−0.0387812 | + | 0.999248i | \(0.512348\pi\) | |||||||
\(654\) | −3.27208 | + | 3.27208i | −0.127948 | + | 0.127948i | ||||
\(655\) | 0.242641 | − | 0.242641i | 0.00948076 | − | 0.00948076i | ||||
\(656\) | −22.6066 | − | 9.36396i | −0.882640 | − | 0.365601i | ||||
\(657\) | −7.84924 | + | 18.9497i | −0.306228 | + | 0.739300i | ||||
\(658\) | −4.48528 | + | 1.85786i | −0.174854 | + | 0.0724271i | ||||
\(659\) | − | 8.48528i | − | 0.330540i | −0.986248 | − | 0.165270i | \(-0.947151\pi\) | ||
0.986248 | − | 0.165270i | \(-0.0528495\pi\) | |||||||
\(660\) | 3.65685 | + | 8.82843i | 0.142343 | + | 0.343646i | ||||
\(661\) | −29.1421 | − | 29.1421i | −1.13350 | − | 1.13350i | −0.989591 | − | 0.143906i | \(-0.954034\pi\) |
−0.143906 | − | 0.989591i | \(-0.545966\pi\) | |||||||
\(662\) | 7.37258 | 0.286544 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.544156 | 0.0211173 | ||||||||
\(665\) | −6.82843 | − | 6.82843i | −0.264795 | − | 0.264795i | ||||
\(666\) | 2.32233 | + | 5.60660i | 0.0899885 | + | 0.217251i | ||||
\(667\) | − | 18.4853i | − | 0.715753i | ||||||
\(668\) | 16.8995 | − | 7.00000i | 0.653861 | − | 0.270838i | ||||
\(669\) | −0.828427 | + | 2.00000i | −0.0320288 | + | 0.0773245i | ||||
\(670\) | −4.82843 | − | 2.00000i | −0.186538 | − | 0.0772667i | ||||
\(671\) | 7.07107 | − | 7.07107i | 0.272976 | − | 0.272976i | ||||
\(672\) | 8.82843 | − | 8.82843i | 0.340564 | − | 0.340564i | ||||
\(673\) | 0.292893 | + | 0.121320i | 0.0112902 | + | 0.00467656i | 0.388321 | − | 0.921524i | \(-0.373055\pi\) |
−0.377031 | + | 0.926201i | \(0.623055\pi\) | |||||||
\(674\) | 5.46447 | − | 13.1924i | 0.210483 | − | 0.508152i | ||||
\(675\) | −3.17157 | + | 1.31371i | −0.122074 | + | 0.0505647i | ||||
\(676\) | − | 20.1127i | − | 0.773565i | ||||||
\(677\) | 16.8076 | + | 40.5772i | 0.645969 | + | 1.55951i | 0.818502 | + | 0.574503i | \(0.194805\pi\) |
−0.172533 | + | 0.985004i | \(0.555195\pi\) | |||||||
\(678\) | −12.3848 | − | 12.3848i | −0.475634 | − | 0.475634i | ||||
\(679\) | 6.97056 | 0.267506 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.1716 | 0.504736 | ||||||||
\(682\) | 1.02944 | + | 1.02944i | 0.0394192 | + | 0.0394192i | ||||
\(683\) | −11.9706 | − | 28.8995i | −0.458041 | − | 1.10581i | −0.969190 | − | 0.246316i | \(-0.920780\pi\) |
0.511149 | − | 0.859492i | \(-0.329220\pi\) | |||||||
\(684\) | − | 33.7990i | − | 1.29234i | ||||||
\(685\) | −14.8995 | + | 6.17157i | −0.569280 | + | 0.235804i | ||||
\(686\) | −2.20101 | + | 5.31371i | −0.0840350 | + | 0.202878i | ||||
\(687\) | 55.1127 | + | 22.8284i | 2.10268 | + | 0.870959i | ||||
\(688\) | −10.2426 | + | 10.2426i | −0.390497 | + | 0.390497i | ||||
\(689\) | −1.41421 | + | 1.41421i | −0.0538772 | + | 0.0538772i | ||||
\(690\) | 7.65685 | + | 3.17157i | 0.291491 | + | 0.120740i | ||||
\(691\) | 15.5858 | − | 37.6274i | 0.592911 | − | 1.43141i | −0.287767 | − | 0.957700i | \(-0.592913\pi\) |
0.880679 | − | 0.473714i | \(-0.157087\pi\) | |||||||
\(692\) | −5.70711 | + | 2.36396i | −0.216952 | + | 0.0898643i | ||||
\(693\) | 4.48528i | 0.170382i | ||||||||
\(694\) | 0.615224 | + | 1.48528i | 0.0233536 | + | 0.0563805i | ||||
\(695\) | 19.5563 | + | 19.5563i | 0.741815 | + | 0.741815i | ||||
\(696\) | −18.4853 | −0.700683 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −1.75736 | −0.0665170 | ||||||||
\(699\) | 18.7279 | + | 18.7279i | 0.708355 | + | 0.708355i | ||||
\(700\) | −1.20101 | − | 2.89949i | −0.0453939 | − | 0.109591i | ||||
\(701\) | − | 21.6985i | − | 0.819540i | −0.912189 | − | 0.409770i | \(-0.865609\pi\) | ||
0.912189 | − | 0.409770i | \(-0.134391\pi\) | |||||||
\(702\) | −1.17157 | + | 0.485281i | −0.0442182 | + | 0.0183158i | ||||
\(703\) | −7.07107 | + | 17.0711i | −0.266690 | + | 0.643848i | ||||
\(704\) | −4.17157 | − | 1.72792i | −0.157222 | − | 0.0651235i | ||||
\(705\) | 36.9706 | − | 36.9706i | 1.39239 | − | 1.39239i | ||||
\(706\) | −4.10051 | + | 4.10051i | −0.154325 | + | 0.154325i | ||||
\(707\) | 13.4142 | + | 5.55635i | 0.504493 | + | 0.208968i | ||||
\(708\) | −10.9706 | + | 26.4853i | −0.412299 | + | 0.995378i | ||||
\(709\) | 10.7071 | − | 4.43503i | 0.402114 | − | 0.166561i | −0.172455 | − | 0.985017i | \(-0.555170\pi\) |
0.574569 | + | 0.818456i | \(0.305170\pi\) | |||||||
\(710\) | − | 10.0000i | − | 0.375293i | ||||||
\(711\) | −6.07107 | − | 14.6569i | −0.227683 | − | 0.549675i | ||||
\(712\) | 10.5563 | + | 10.5563i | 0.395616 | + | 0.395616i | ||||
\(713\) | −13.4558 | −0.503925 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.82843 | 0.105777 | ||||||||
\(716\) | 7.75736 | + | 7.75736i | 0.289906 | + | 0.289906i | ||||
\(717\) | −9.17157 | − | 22.1421i | −0.342519 | − | 0.826913i | ||||
\(718\) | − | 9.59798i | − | 0.358193i | ||||||
\(719\) | −13.0000 | + | 5.38478i | −0.484818 | + | 0.200818i | −0.611685 | − | 0.791102i | \(-0.709508\pi\) |
0.126867 | + | 0.991920i | \(0.459508\pi\) | |||||||
\(720\) | −8.12132 | + | 19.6066i | −0.302664 | + | 0.730695i | ||||
\(721\) | 4.48528 | + | 1.85786i | 0.167041 | + | 0.0691905i | ||||
\(722\) | −1.26346 | + | 1.26346i | −0.0470210 | + | 0.0470210i | ||||
\(723\) | 22.7279 | − | 22.7279i | 0.845261 | − | 0.845261i | ||||
\(724\) | 21.0919 | + | 8.73654i | 0.783874 | + | 0.324691i | ||||
\(725\) | −2.70711 | + | 6.53553i | −0.100539 | + | 0.242724i | ||||
\(726\) | 9.82843 | − | 4.07107i | 0.364767 | − | 0.151091i | ||||
\(727\) | − | 19.1127i | − | 0.708851i | −0.935084 | − | 0.354425i | \(-0.884676\pi\) | ||
0.935084 | − | 0.354425i | \(-0.115324\pi\) | |||||||
\(728\) | −0.928932 | − | 2.24264i | −0.0344285 | − | 0.0831178i | ||||
\(729\) | −27.7782 | − | 27.7782i | −1.02882 | − | 1.02882i | ||||
\(730\) | −4.10051 | −0.151767 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 44.1421 | 1.63154 | ||||||||
\(733\) | 8.51472 | + | 8.51472i | 0.314498 | + | 0.314498i | 0.846649 | − | 0.532151i | \(-0.178616\pi\) |
−0.532151 | + | 0.846649i | \(0.678616\pi\) | |||||||
\(734\) | −4.17157 | − | 10.0711i | −0.153976 | − | 0.371730i | ||||
\(735\) | − | 28.1421i | − | 1.03804i | ||||||
\(736\) | −16.8995 | + | 7.00000i | −0.622924 | + | 0.258023i | ||||
\(737\) | −2.82843 | + | 6.82843i | −0.104186 | + | 0.251528i | ||||
\(738\) | −11.9497 | − | 4.94975i | −0.439876 | − | 0.182203i | ||||
\(739\) | −24.2426 | + | 24.2426i | −0.891780 | + | 0.891780i | −0.994691 | − | 0.102911i | \(-0.967184\pi\) |
0.102911 | + | 0.994691i | \(0.467184\pi\) | |||||||
\(740\) | 9.14214 | − | 9.14214i | 0.336072 | − | 0.336072i | ||||
\(741\) | −16.4853 | − | 6.82843i | −0.605602 | − | 0.250849i | ||||
\(742\) | 0.242641 | − | 0.585786i | 0.00890762 | − | 0.0215049i | ||||
\(743\) | −45.5269 | + | 18.8579i | −1.67022 | + | 0.691828i | −0.998787 | − | 0.0492371i | \(-0.984321\pi\) |
−0.671433 | + | 0.741065i | \(0.734321\pi\) | |||||||
\(744\) | 13.4558i | 0.493315i | ||||||||
\(745\) | 12.0000 | + | 28.9706i | 0.439646 | + | 1.06140i | ||||
\(746\) | −5.72792 | − | 5.72792i | −0.209714 | − | 0.209714i | ||||
\(747\) | −1.31371 | −0.0480661 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −6.82843 | −0.249505 | ||||||||
\(750\) | −9.31371 | − | 9.31371i | −0.340089 | − | 0.340089i | ||||
\(751\) | −10.0294 | − | 24.2132i | −0.365979 | − | 0.883552i | −0.994400 | − | 0.105679i | \(-0.966298\pi\) |
0.628421 | − | 0.777873i | \(-0.283702\pi\) | |||||||
\(752\) | 32.4853i | 1.18462i | ||||||||
\(753\) | −8.48528 | + | 3.51472i | −0.309221 | + | 0.128083i | ||||
\(754\) | −1.00000 | + | 2.41421i | −0.0364179 | + | 0.0879205i | ||||
\(755\) | −21.8995 | − | 9.07107i | −0.797004 | − | 0.330130i | ||||
\(756\) | −3.02944 | + | 3.02944i | −0.110180 | + | 0.110180i | ||||
\(757\) | −37.7990 | + | 37.7990i | −1.37383 | + | 1.37383i | −0.519136 | + | 0.854692i | \(0.673746\pi\) |
−0.854692 | + | 0.519136i | \(0.826254\pi\) | |||||||
\(758\) | −0.414214 | − | 0.171573i | −0.0150449 | − | 0.00623181i | ||||
\(759\) | 4.48528 | − | 10.8284i | 0.162805 | − | 0.393047i | ||||
\(760\) | 13.0711 | − | 5.41421i | 0.474137 | − | 0.196394i | ||||
\(761\) | 21.6985i | 0.786569i | 0.919417 | + | 0.393285i | \(0.128661\pi\) | ||||
−0.919417 | + | 0.393285i | \(0.871339\pi\) | |||||||
\(762\) | −7.17157 | − | 17.3137i | −0.259799 | − | 0.627209i | ||||
\(763\) | 3.27208 | + | 3.27208i | 0.118457 | + | 0.118457i | ||||
\(764\) | 36.5685 | 1.32300 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.28427 | −0.0825341 | ||||||||
\(767\) | 6.00000 | + | 6.00000i | 0.216647 | + | 0.216647i | ||||
\(768\) | −3.97056 | − | 9.58579i | −0.143275 | − | 0.345897i | ||||
\(769\) | − | 12.7279i | − | 0.458981i | −0.973311 | − | 0.229490i | \(-0.926294\pi\) | ||
0.973311 | − | 0.229490i | \(-0.0737059\pi\) | |||||||
\(770\) | −0.828427 | + | 0.343146i | −0.0298544 | + | 0.0123661i | ||||
\(771\) | 22.1421 | − | 53.4558i | 0.797430 | − | 1.92517i | ||||
\(772\) | −9.36396 | − | 3.87868i | −0.337016 | − | 0.139597i | ||||
\(773\) | 3.41421 | − | 3.41421i | 0.122801 | − | 0.122801i | −0.643036 | − | 0.765836i | \(-0.722325\pi\) |
0.765836 | + | 0.643036i | \(0.222325\pi\) | |||||||
\(774\) | −5.41421 | + | 5.41421i | −0.194610 | + | 0.194610i | ||||
\(775\) | 4.75736 | + | 1.97056i | 0.170889 | + | 0.0707847i | ||||
\(776\) | −3.90812 | + | 9.43503i | −0.140293 | + | 0.338698i | ||||
\(777\) | 10.0000 | − | 4.14214i | 0.358748 | − | 0.148598i | ||||
\(778\) | 6.68629i | 0.239715i | ||||||||
\(779\) | −15.0711 | − | 36.3848i | −0.539977 | − | 1.30362i | ||||
\(780\) | 8.82843 | + | 8.82843i | 0.316108 | + | 0.316108i | ||||
\(781\) | −14.1421 | −0.506045 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 9.65685 | 0.345108 | ||||||||
\(784\) | 12.3640 | + | 12.3640i | 0.441570 | + | 0.441570i | ||||
\(785\) | −1.17157 | − | 2.82843i | −0.0418152 | − | 0.100951i | ||||
\(786\) | 0.201010i | 0.00716979i | ||||||||
\(787\) | 45.8701 | − | 19.0000i | 1.63509 | − | 0.677277i | 0.639302 | − | 0.768955i | \(-0.279223\pi\) |
0.995789 | + | 0.0916786i | \(0.0292232\pi\) | |||||||
\(788\) | 10.4350 | − | 25.1924i | 0.371733 | − | 0.897442i | ||||
\(789\) | −15.6569 | − | 6.48528i | −0.557399 | − | 0.230882i | ||||
\(790\) | 2.24264 | − | 2.24264i | 0.0797896 | − | 0.0797896i | ||||
\(791\) | −12.3848 | + | 12.3848i | −0.440352 | + | 0.440352i | ||||
\(792\) | −6.07107 | − | 2.51472i | −0.215726 | − | 0.0893566i | ||||
\(793\) | 5.00000 | − | 12.0711i | 0.177555 | − | 0.428656i | ||||
\(794\) | 10.4350 | − | 4.32233i | 0.370325 | − | 0.153394i | ||||
\(795\) | 6.82843i | 0.242179i | ||||||||
\(796\) | −1.20101 | − | 2.89949i | −0.0425687 | − | 0.102770i | ||||
\(797\) | 12.1716 | + | 12.1716i | 0.431139 | + | 0.431139i | 0.889016 | − | 0.457877i | \(-0.151390\pi\) |
−0.457877 | + | 0.889016i | \(0.651390\pi\) | |||||||
\(798\) | 5.65685 | 0.200250 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 7.00000 | 0.247487 | ||||||||
\(801\) | −25.4853 | − | 25.4853i | −0.900478 | − | 0.900478i | ||||
\(802\) | −2.70711 | − | 6.53553i | −0.0955913 | − | 0.230778i | ||||
\(803\) | 5.79899i | 0.204642i | ||||||||
\(804\) | −30.1421 | + | 12.4853i | −1.06303 | + | 0.440322i | ||||
\(805\) | 3.17157 | − | 7.65685i | 0.111783 | − | 0.269869i | ||||
\(806\) | 1.75736 | + | 0.727922i | 0.0619003 | + | 0.0256400i | ||||
\(807\) | 11.7574 | − | 11.7574i | 0.413879 | − | 0.413879i | ||||
\(808\) | −15.0416 | + | 15.0416i | −0.529163 | + | 0.529163i | ||||
\(809\) | 27.5061 | + | 11.3934i | 0.967063 | + | 0.400571i | 0.809618 | − | 0.586957i | \(-0.199674\pi\) |
0.157445 | + | 0.987528i | \(0.449674\pi\) | |||||||
\(810\) | 1.70711 | − | 4.12132i | 0.0599816 | − | 0.144808i | ||||
\(811\) | −40.8995 | + | 16.9411i | −1.43618 | + | 0.594883i | −0.958868 | − | 0.283853i | \(-0.908387\pi\) |
−0.477308 | + | 0.878736i | \(0.658387\pi\) | |||||||
\(812\) | 8.82843i | 0.309817i | ||||||||
\(813\) | 6.14214 | + | 14.8284i | 0.215414 | + | 0.520056i | ||||
\(814\) | 1.21320 | + | 1.21320i | 0.0425228 | + | 0.0425228i | ||||
\(815\) | −10.4853 | −0.367283 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −23.3137 | −0.815643 | ||||||||
\(818\) | 5.65685 | + | 5.65685i | 0.197787 | + | 0.197787i | ||||
\(819\) | 2.24264 | + | 5.41421i | 0.0783642 | + | 0.189188i | ||||
\(820\) | 27.5563i | 0.962309i | ||||||||
\(821\) | 13.2929 | − | 5.50610i | 0.463925 | − | 0.192164i | −0.138463 | − | 0.990368i | \(-0.544216\pi\) |
0.602388 | + | 0.798204i | \(0.294216\pi\) | |||||||
\(822\) | 3.61522 | − | 8.72792i | 0.126095 | − | 0.304421i | ||||
\(823\) | −21.7279 | − | 9.00000i | −0.757388 | − | 0.313720i | −0.0296358 | − | 0.999561i | \(-0.509435\pi\) |
−0.727752 | + | 0.685840i | \(0.759435\pi\) | |||||||
\(824\) | −5.02944 | + | 5.02944i | −0.175209 | + | 0.175209i | ||||
\(825\) | −3.17157 | + | 3.17157i | −0.110420 | + | 0.110420i | ||||
\(826\) | −2.48528 | − | 1.02944i | −0.0864740 | − | 0.0358187i | ||||
\(827\) | −13.2843 | + | 32.0711i | −0.461939 | + | 1.11522i | 0.505661 | + | 0.862732i | \(0.331249\pi\) |
−0.967600 | + | 0.252488i | \(0.918751\pi\) | |||||||
\(828\) | 26.7990 | − | 11.1005i | 0.931329 | − | 0.385769i | ||||
\(829\) | 13.9411i | 0.484195i | 0.970252 | + | 0.242098i | \(0.0778354\pi\) | ||||
−0.970252 | + | 0.242098i | \(0.922165\pi\) | |||||||
\(830\) | −0.100505 | − | 0.242641i | −0.00348858 | − | 0.00842218i | ||||
\(831\) | 40.7279 | + | 40.7279i | 1.41284 | + | 1.41284i | ||||
\(832\) | −5.89949 | −0.204528 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −16.2010 | −0.560995 | ||||||||
\(835\) | −13.0711 | − | 13.0711i | −0.452343 | − | 0.452343i | ||||
\(836\) | −3.65685 | − | 8.82843i | −0.126475 | − | 0.305338i | ||||
\(837\) | − | 7.02944i | − | 0.242973i | ||||||
\(838\) | −10.3137 | + | 4.27208i | −0.356281 | + | 0.147576i | ||||
\(839\) | −1.48528 | + | 3.58579i | −0.0512776 | + | 0.123795i | −0.947443 | − | 0.319926i | \(-0.896342\pi\) |
0.896165 | + | 0.443721i | \(0.146342\pi\) | |||||||
\(840\) | −7.65685 | − | 3.17157i | −0.264187 | − | 0.109430i | ||||
\(841\) | −6.43503 | + | 6.43503i | −0.221898 | + | 0.221898i | ||||
\(842\) | 5.10051 | − | 5.10051i | 0.175775 | − | 0.175775i | ||||
\(843\) | −43.2132 | − | 17.8995i | −1.48834 | − | 0.616491i | ||||
\(844\) | −10.4731 | + | 25.2843i | −0.360499 | + | 0.870321i | ||||
\(845\) | −18.7782 | + | 7.77817i | −0.645989 | + | 0.267577i | ||||
\(846\) | 17.1716i | 0.590371i | ||||||||
\(847\) | −4.07107 | − | 9.82843i | −0.139884 | − | 0.337709i | ||||
\(848\) | −3.00000 | − | 3.00000i | −0.103020 | − | 0.103020i | ||||
\(849\) | −59.7990 | −2.05230 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −15.8579 | −0.543601 | ||||||||
\(852\) | −44.1421 | − | 44.1421i | −1.51228 | − | 1.51228i | ||||
\(853\) | 16.2929 | + | 39.3345i | 0.557858 | + | 1.34679i | 0.911459 | + | 0.411392i | \(0.134957\pi\) |
−0.353601 | + | 0.935397i | \(0.615043\pi\) | |||||||
\(854\) | 4.14214i | 0.141741i | ||||||||
\(855\) | −31.5563 | + | 13.0711i | −1.07920 | + | 0.447021i | ||||
\(856\) | 3.82843 | − | 9.24264i | 0.130853 | − | 0.315907i | ||||
\(857\) | 3.53553 | + | 1.46447i | 0.120772 | + | 0.0500252i | 0.442251 | − | 0.896891i | \(-0.354180\pi\) |
−0.321479 | + | 0.946917i | \(0.604180\pi\) | |||||||
\(858\) | −1.17157 | + | 1.17157i | −0.0399968 | + | 0.0399968i | ||||
\(859\) | 0.727922 | − | 0.727922i | 0.0248364 | − | 0.0248364i | −0.694580 | − | 0.719416i | \(-0.744410\pi\) |
0.719416 | + | 0.694580i | \(0.244410\pi\) | |||||||
\(860\) | 15.0711 | + | 6.24264i | 0.513919 | + | 0.212872i | ||||
\(861\) | −8.82843 | + | 21.3137i | −0.300872 | + | 0.726369i | ||||
\(862\) | −15.2426 | + | 6.31371i | −0.519166 | + | 0.215046i | ||||
\(863\) | − | 34.6274i | − | 1.17873i | −0.807867 | − | 0.589365i | \(-0.799378\pi\) | ||
0.807867 | − | 0.589365i | \(-0.200622\pi\) | |||||||
\(864\) | −3.65685 | − | 8.82843i | −0.124409 | − | 0.300349i | ||||
\(865\) | 4.41421 | + | 4.41421i | 0.150088 | + | 0.150088i | ||||
\(866\) | 6.28427 | 0.213548 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 6.42641 | 0.218126 | ||||||||
\(869\) | −3.17157 | − | 3.17157i | −0.107588 | − | 0.107588i | ||||
\(870\) | 3.41421 | + | 8.24264i | 0.115753 | + | 0.279452i | ||||
\(871\) | 9.65685i | 0.327210i | ||||||||
\(872\) | −6.26346 | + | 2.59441i | −0.212107 | + | 0.0878578i | ||||
\(873\) | 9.43503 | − | 22.7782i | 0.319327 | − | 0.770924i | ||||
\(874\) | −7.65685 | − | 3.17157i | −0.258997 | − | 0.107280i | ||||
\(875\) | −9.31371 | + | 9.31371i | −0.314861 | + | 0.314861i | ||||
\(876\) | −18.1005 | + | 18.1005i | −0.611559 | + | 0.611559i | ||||
\(877\) | 34.7782 | + | 14.4056i | 1.17438 | + | 0.486442i | 0.882637 | − | 0.470056i | \(-0.155766\pi\) |
0.291739 | + | 0.956498i | \(0.405766\pi\) | |||||||
\(878\) | −1.72792 | + | 4.17157i | −0.0583145 | + | 0.140784i | ||||
\(879\) | −57.1127 | + | 23.6569i | −1.92636 | + | 0.797926i | ||||
\(880\) | 6.00000i | 0.202260i | ||||||||
\(881\) | 7.09188 | + | 17.1213i | 0.238932 | + | 0.576832i | 0.997173 | − | 0.0751422i | \(-0.0239411\pi\) |
−0.758241 | + | 0.651974i | \(0.773941\pi\) | |||||||
\(882\) | 6.53553 | + | 6.53553i | 0.220063 | + | 0.220063i | ||||
\(883\) | 8.00000 | 0.269221 | 0.134611 | − | 0.990899i | \(-0.457022\pi\) | ||||
0.134611 | + | 0.990899i | \(0.457022\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 28.9706 | 0.973835 | ||||||||
\(886\) | 4.62742 | + | 4.62742i | 0.155461 | + | 0.155461i | ||||
\(887\) | 18.6985 | + | 45.1421i | 0.627834 | + | 1.51572i | 0.842309 | + | 0.538995i | \(0.181196\pi\) |
−0.214475 | + | 0.976729i | \(0.568804\pi\) | |||||||
\(888\) | 15.8579i | 0.532155i | ||||||||
\(889\) | −17.3137 | + | 7.17157i | −0.580683 | + | 0.240527i | ||||
\(890\) | 2.75736 | − | 6.65685i | 0.0924269 | − | 0.223138i | ||||
\(891\) | −5.82843 | − | 2.41421i | −0.195260 | − | 0.0808792i | ||||
\(892\) | −1.07107 | + | 1.07107i | −0.0358620 | + | 0.0358620i | ||||
\(893\) | −36.9706 | + | 36.9706i | −1.23717 | + | 1.23717i | ||||
\(894\) | −16.9706 | − | 7.02944i | −0.567581 | − | 0.235100i | ||||
\(895\) | 4.24264 | − | 10.2426i | 0.141816 | − | 0.342374i | ||||
\(896\) | 10.5563 | − | 4.37258i | 0.352663 | − | 0.146078i | ||||
\(897\) | − | 15.3137i | − | 0.511310i | ||||||
\(898\) | 2.97918 | + | 7.19239i | 0.0994167 | + | 0.240013i | ||||
\(899\) | −10.2426 | − | 10.2426i | −0.341611 | − | 0.341611i | ||||
\(900\) | −11.1005 | −0.370017 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −3.65685 | −0.121760 | ||||||||
\(903\) | 9.65685 | + | 9.65685i | 0.321360 | + | 0.321360i | ||||
\(904\) | −9.81981 | − | 23.7071i | −0.326602 | − | 0.788487i | ||||
\(905\) | − | 23.0711i | − | 0.766908i | ||||||
\(906\) | 12.8284 | − | 5.31371i | 0.426196 | − | 0.176536i | ||||
\(907\) | −9.58579 | + | 23.1421i | −0.318291 | + | 0.768422i | 0.681054 | + | 0.732233i | \(0.261522\pi\) |
−0.999345 | + | 0.0361889i | \(0.988478\pi\) | |||||||
\(908\) | 8.51472 | + | 3.52691i | 0.282571 | + | 0.117045i | ||||
\(909\) | 36.3137 | − | 36.3137i | 1.20445 | − | 1.20445i | ||||
\(910\) | −0.828427 | + | 0.828427i | −0.0274621 | + | 0.0274621i | ||||
\(911\) | 7.82843 | + | 3.24264i | 0.259367 | + | 0.107433i | 0.508578 | − | 0.861016i | \(-0.330171\pi\) |
−0.249211 | + | 0.968449i | \(0.580171\pi\) | |||||||
\(912\) | 14.4853 | − | 34.9706i | 0.479656 | − | 1.15799i | ||||
\(913\) | −0.343146 | + | 0.142136i | −0.0113565 | + | 0.00470400i | ||||
\(914\) | 7.79899i | 0.257968i | ||||||||
\(915\) | −17.0711 | − | 41.2132i | −0.564352 | − | 1.36247i | ||||
\(916\) | 29.5147 | + | 29.5147i | 0.975194 | + | 0.975194i | ||||
\(917\) | 0.201010 | 0.00663794 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −3.31371 | −0.109309 | −0.0546546 | − | 0.998505i | \(-0.517406\pi\) | ||||
−0.0546546 | + | 0.998505i | \(0.517406\pi\) | |||||||
\(920\) | 8.58579 | + | 8.58579i | 0.283065 | + | 0.283065i | ||||
\(921\) | −2.14214 | − | 5.17157i | −0.0705858 | − | 0.170409i | ||||
\(922\) | − | 9.95837i | − | 0.327961i | ||||||
\(923\) | −17.0711 | + | 7.07107i | −0.561901 | + | 0.232747i | ||||
\(924\) | −2.14214 | + | 5.17157i | −0.0704711 | + | 0.170132i | ||||
\(925\) | 5.60660 | + | 2.32233i | 0.184344 | + | 0.0763578i | ||||
\(926\) | 8.97056 | − | 8.97056i | 0.294791 | − | 0.294791i | ||||
\(927\) | 12.1421 | − | 12.1421i | 0.398800 | − | 0.398800i | ||||
\(928\) | −18.1924 | − | 7.53553i | −0.597194 | − | 0.247366i | ||||
\(929\) | 8.02082 | − | 19.3640i | 0.263154 | − | 0.635311i | −0.735976 | − | 0.677008i | \(-0.763276\pi\) |
0.999130 | + | 0.0416968i | \(0.0132763\pi\) | |||||||
\(930\) | 6.00000 | − | 2.48528i | 0.196748 | − | 0.0814956i | ||||
\(931\) | 28.1421i | 0.922321i | ||||||||
\(932\) | 7.09188 | + | 17.1213i | 0.232302 | + | 0.560827i | ||||
\(933\) | −8.34315 | − | 8.34315i | −0.273142 | − | 0.273142i | ||||
\(934\) | −5.23045 | −0.171145 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −8.58579 | −0.280635 | ||||||||
\(937\) | −2.51472 | − | 2.51472i | −0.0821523 | − | 0.0821523i | 0.664837 | − | 0.746989i | \(-0.268501\pi\) |
−0.746989 | + | 0.664837i | \(0.768501\pi\) | |||||||
\(938\) | −1.17157 | − | 2.82843i | −0.0382532 | − | 0.0923514i | ||||
\(939\) | − | 33.3137i | − | 1.08715i | ||||||
\(940\) | 33.7990 | − | 14.0000i | 1.10240 | − | 0.456630i | ||||
\(941\) | 7.15076 | − | 17.2635i | 0.233108 | − | 0.562773i | −0.763432 | − | 0.645888i | \(-0.776487\pi\) |
0.996540 | + | 0.0831158i | \(0.0264871\pi\) | |||||||
\(942\) | 1.65685 | + | 0.686292i | 0.0539832 | + | 0.0223606i | ||||
\(943\) | 23.8995 | − | 23.8995i | 0.778275 | − | 0.778275i | ||||
\(944\) | −12.7279 | + | 12.7279i | −0.414259 | + | 0.414259i | ||||
\(945\) | 4.00000 | + | 1.65685i | 0.130120 | + | 0.0538975i | ||||
\(946\) | −0.828427 | + | 2.00000i | −0.0269345 | + | 0.0650256i | ||||
\(947\) | −13.7279 | + | 5.68629i | −0.446098 | + | 0.184780i | −0.594412 | − | 0.804161i | \(-0.702615\pi\) |
0.148315 | + | 0.988940i | \(0.452615\pi\) | |||||||
\(948\) | − | 19.7990i | − | 0.643041i | ||||||
\(949\) | 2.89949 | + | 7.00000i | 0.0941216 | + | 0.227230i | ||||
\(950\) | 2.24264 | + | 2.24264i | 0.0727609 | + | 0.0727609i | ||||
\(951\) | 15.1716 | 0.491972 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −9.69848 | −0.314165 | −0.157082 | − | 0.987586i | \(-0.550209\pi\) | ||||
−0.157082 | + | 0.987586i | \(0.550209\pi\) | |||||||
\(954\) | −1.58579 | − | 1.58579i | −0.0513417 | − | 0.0513417i | ||||
\(955\) | −14.1421 | − | 34.1421i | −0.457629 | − | 1.10481i | ||||
\(956\) | − | 16.7696i | − | 0.542366i | ||||||
\(957\) | 11.6569 | − | 4.82843i | 0.376813 | − | 0.156081i | ||||
\(958\) | 5.48528 | − | 13.2426i | 0.177221 | − | 0.427850i | ||||
\(959\) | −8.72792 | − | 3.61522i | −0.281839 | − | 0.116742i | ||||
\(960\) | −14.2426 | + | 14.2426i | −0.459679 | + | 0.459679i | ||||
\(961\) | 14.4645 | − | 14.4645i | 0.466596 | − | 0.466596i | ||||
\(962\) | 2.07107 | + | 0.857864i | 0.0667739 | + | 0.0276587i | ||||
\(963\) | −9.24264 | + | 22.3137i | −0.297840 | + | 0.719049i | ||||
\(964\) | 20.7782 | − | 8.60660i | 0.669220 | − | 0.277200i | ||||
\(965\) | 10.2426i | 0.329722i | ||||||||
\(966\) | 1.85786 | + | 4.48528i | 0.0597758 | + | 0.144312i | ||||
\(967\) | −22.8701 | − | 22.8701i | −0.735451 | − | 0.735451i | 0.236243 | − | 0.971694i | \(-0.424084\pi\) |
−0.971694 | + | 0.236243i | \(0.924084\pi\) | |||||||
\(968\) | 15.5858 | 0.500946 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.92893 | 0.158258 | ||||||||
\(971\) | 39.4142 | + | 39.4142i | 1.26486 | + | 1.26486i | 0.948708 | + | 0.316155i | \(0.102392\pi\) |
0.316155 | + | 0.948708i | \(0.397608\pi\) | |||||||
\(972\) | −15.2010 | − | 36.6985i | −0.487573 | − | 1.17710i | ||||
\(973\) | 16.2010i | 0.519381i | ||||||||
\(974\) | −1.68629 | + | 0.698485i | −0.0540323 | + | 0.0223809i | ||||
\(975\) | −2.24264 | + | 5.41421i | −0.0718220 | + | 0.173394i | ||||
\(976\) | 25.6066 | + | 10.6066i | 0.819647 | + | 0.339509i | ||||
\(977\) | −1.14214 | + | 1.14214i | −0.0365402 | + | 0.0365402i | −0.725141 | − | 0.688601i | \(-0.758225\pi\) |
0.688601 | + | 0.725141i | \(0.258225\pi\) | |||||||
\(978\) | 4.34315 | − | 4.34315i | 0.138878 | − | 0.138878i | ||||
\(979\) | −9.41421 | − | 3.89949i | −0.300880 | − | 0.124628i | ||||
\(980\) | 7.53553 | − | 18.1924i | 0.240714 | − | 0.581135i | ||||
\(981\) | 15.1213 | − | 6.26346i | 0.482787 | − | 0.199977i | ||||
\(982\) | − | 10.4020i | − | 0.331942i | ||||||
\(983\) | −9.00000 | − | 21.7279i | −0.287055 | − | 0.693013i | 0.712911 | − | 0.701255i | \(-0.247377\pi\) |
−0.999966 | + | 0.00824183i | \(0.997377\pi\) | |||||||
\(984\) | −23.8995 | − | 23.8995i | −0.761888 | − | 0.761888i | ||||
\(985\) | −27.5563 | −0.878018 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 30.6274 | 0.974881 | ||||||||
\(988\) | −8.82843 | − | 8.82843i | −0.280870 | − | 0.280870i | ||||
\(989\) | −7.65685 | − | 18.4853i | −0.243474 | − | 0.587798i | ||||
\(990\) | 3.17157i | 0.100799i | ||||||||
\(991\) | −29.6274 | + | 12.2721i | −0.941146 | + | 0.389835i | −0.799896 | − | 0.600139i | \(-0.795112\pi\) |
−0.141250 | + | 0.989974i | \(0.545112\pi\) | |||||||
\(992\) | −5.48528 | + | 13.2426i | −0.174158 | + | 0.420454i | ||||
\(993\) | −42.9706 | − | 17.7990i | −1.36363 | − | 0.564834i | ||||
\(994\) | 4.14214 | − | 4.14214i | 0.131381 | − | 0.131381i | ||||
\(995\) | −2.24264 | + | 2.24264i | −0.0710965 | + | 0.0710965i | ||||
\(996\) | −1.51472 | − | 0.627417i | −0.0479957 | − | 0.0198805i | ||||
\(997\) | −2.94975 | + | 7.12132i | −0.0934194 | + | 0.225534i | −0.963681 | − | 0.267055i | \(-0.913950\pi\) |
0.870262 | + | 0.492589i | \(0.163950\pi\) | |||||||
\(998\) | 14.1716 | − | 5.87006i | 0.448593 | − | 0.185813i | ||||
\(999\) | − | 8.28427i | − | 0.262103i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))