Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [289,2,Mod(38,289)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(289, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("289.38");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 289 = 17^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 289.c (of order \(4\), degree \(2\), 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: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | \(\Q(\zeta_{16})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{3} \) |
Twist minimal: | no (minimal twist has level 17) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 251.3 | ||
Root | \(-0.382683 + 0.923880i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 289.251 |
Dual form | 289.2.c.c.38.1 |
$q$-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 \(\left(\mathbb{Z}/289\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.414214i | 0.292893i | 0.989219 | + | 0.146447i | \(0.0467837\pi\) | ||||
−0.989219 | + | 0.146447i | \(0.953216\pi\) | |||||||
\(3\) | −1.84776 | − | 1.84776i | −1.06680 | − | 1.06680i | −0.997603 | − | 0.0692015i | \(-0.977955\pi\) |
−0.0692015 | − | 0.997603i | \(-0.522045\pi\) | |||||||
\(4\) | 1.82843 | 0.914214 | ||||||||
\(5\) | 1.30656 | + | 1.30656i | 0.584313 | + | 0.584313i | 0.936085 | − | 0.351773i | \(-0.114421\pi\) |
−0.351773 | + | 0.936085i | \(0.614421\pi\) | |||||||
\(6\) | 0.765367 | − | 0.765367i | 0.312460 | − | 0.312460i | ||||
\(7\) | 0.765367 | − | 0.765367i | 0.289281 | − | 0.289281i | −0.547515 | − | 0.836796i | \(-0.684426\pi\) |
0.836796 | + | 0.547515i | \(0.184426\pi\) | |||||||
\(8\) | 1.58579i | 0.560660i | ||||||||
\(9\) | 3.82843i | 1.27614i | ||||||||
\(10\) | −0.541196 | + | 0.541196i | −0.171141 | + | 0.171141i | ||||
\(11\) | 0.765367 | − | 0.765367i | 0.230767 | − | 0.230767i | −0.582246 | − | 0.813013i | \(-0.697826\pi\) |
0.813013 | + | 0.582246i | \(0.197826\pi\) | |||||||
\(12\) | −3.37849 | − | 3.37849i | −0.975287 | − | 0.975287i | ||||
\(13\) | 1.41421 | 0.392232 | 0.196116 | − | 0.980581i | \(-0.437167\pi\) | ||||
0.196116 | + | 0.980581i | \(0.437167\pi\) | |||||||
\(14\) | 0.317025 | + | 0.317025i | 0.0847286 | + | 0.0847286i | ||||
\(15\) | − | 4.82843i | − | 1.24669i | ||||||
\(16\) | 3.00000 | 0.750000 | ||||||||
\(17\) | 0 | 0 | ||||||||
\(18\) | −1.58579 | −0.373773 | ||||||||
\(19\) | − | 4.82843i | − | 1.10772i | −0.832611 | − | 0.553859i | \(-0.813155\pi\) | ||
0.832611 | − | 0.553859i | \(-0.186845\pi\) | |||||||
\(20\) | 2.38896 | + | 2.38896i | 0.534187 | + | 0.534187i | ||||
\(21\) | −2.82843 | −0.617213 | ||||||||
\(22\) | 0.317025 | + | 0.317025i | 0.0675900 | + | 0.0675900i | ||||
\(23\) | 2.93015 | − | 2.93015i | 0.610979 | − | 0.610979i | −0.332222 | − | 0.943201i | \(-0.607798\pi\) |
0.943201 | + | 0.332222i | \(0.107798\pi\) | |||||||
\(24\) | 2.93015 | − | 2.93015i | 0.598115 | − | 0.598115i | ||||
\(25\) | − | 1.58579i | − | 0.317157i | ||||||
\(26\) | 0.585786i | 0.114882i | ||||||||
\(27\) | 1.53073 | − | 1.53073i | 0.294590 | − | 0.294590i | ||||
\(28\) | 1.39942 | − | 1.39942i | 0.264465 | − | 0.264465i | ||||
\(29\) | 3.15432 | + | 3.15432i | 0.585743 | + | 0.585743i | 0.936476 | − | 0.350733i | \(-0.114067\pi\) |
−0.350733 | + | 0.936476i | \(0.614067\pi\) | |||||||
\(30\) | 2.00000 | 0.365148 | ||||||||
\(31\) | 2.29610 | + | 2.29610i | 0.412392 | + | 0.412392i | 0.882571 | − | 0.470179i | \(-0.155811\pi\) |
−0.470179 | + | 0.882571i | \(0.655811\pi\) | |||||||
\(32\) | 4.41421i | 0.780330i | ||||||||
\(33\) | −2.82843 | −0.492366 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.00000 | 0.338062 | ||||||||
\(36\) | 7.00000i | 1.16667i | ||||||||
\(37\) | −2.70598 | − | 2.70598i | −0.444860 | − | 0.444860i | 0.448781 | − | 0.893642i | \(-0.351858\pi\) |
−0.893642 | + | 0.448781i | \(0.851858\pi\) | |||||||
\(38\) | 2.00000 | 0.324443 | ||||||||
\(39\) | −2.61313 | − | 2.61313i | −0.418435 | − | 0.418435i | ||||
\(40\) | −2.07193 | + | 2.07193i | −0.327601 | + | 0.327601i | ||||
\(41\) | −5.76745 | + | 5.76745i | −0.900724 | + | 0.900724i | −0.995499 | − | 0.0947747i | \(-0.969787\pi\) |
0.0947747 | + | 0.995499i | \(0.469787\pi\) | |||||||
\(42\) | − | 1.17157i | − | 0.180778i | ||||||
\(43\) | − | 4.82843i | − | 0.736328i | −0.929761 | − | 0.368164i | \(-0.879986\pi\) | ||
0.929761 | − | 0.368164i | \(-0.120014\pi\) | |||||||
\(44\) | 1.39942 | − | 1.39942i | 0.210970 | − | 0.210970i | ||||
\(45\) | −5.00208 | + | 5.00208i | −0.745666 | + | 0.745666i | ||||
\(46\) | 1.21371 | + | 1.21371i | 0.178952 | + | 0.178952i | ||||
\(47\) | −10.8284 | −1.57949 | −0.789744 | − | 0.613436i | \(-0.789787\pi\) | ||||
−0.789744 | + | 0.613436i | \(0.789787\pi\) | |||||||
\(48\) | −5.54328 | − | 5.54328i | −0.800103 | − | 0.800103i | ||||
\(49\) | 5.82843i | 0.832632i | ||||||||
\(50\) | 0.656854 | 0.0928932 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.58579 | 0.358584 | ||||||||
\(53\) | 1.41421i | 0.194257i | 0.995272 | + | 0.0971286i | \(0.0309658\pi\) | ||||
−0.995272 | + | 0.0971286i | \(0.969034\pi\) | |||||||
\(54\) | 0.634051 | + | 0.634051i | 0.0862834 | + | 0.0862834i | ||||
\(55\) | 2.00000 | 0.269680 | ||||||||
\(56\) | 1.21371 | + | 1.21371i | 0.162189 | + | 0.162189i | ||||
\(57\) | −8.92177 | + | 8.92177i | −1.18172 | + | 1.18172i | ||||
\(58\) | −1.30656 | + | 1.30656i | −0.171560 | + | 0.171560i | ||||
\(59\) | 6.00000i | 0.781133i | 0.920575 | + | 0.390567i | \(0.127721\pi\) | ||||
−0.920575 | + | 0.390567i | \(0.872279\pi\) | |||||||
\(60\) | − | 8.82843i | − | 1.13975i | ||||||
\(61\) | −6.53281 | + | 6.53281i | −0.836441 | + | 0.836441i | −0.988389 | − | 0.151947i | \(-0.951446\pi\) |
0.151947 | + | 0.988389i | \(0.451446\pi\) | |||||||
\(62\) | −0.951076 | + | 0.951076i | −0.120787 | + | 0.120787i | ||||
\(63\) | 2.93015 | + | 2.93015i | 0.369164 | + | 0.369164i | ||||
\(64\) | 4.17157 | 0.521447 | ||||||||
\(65\) | 1.84776 | + | 1.84776i | 0.229186 | + | 0.229186i | ||||
\(66\) | − | 1.17157i | − | 0.144211i | ||||||
\(67\) | −6.82843 | −0.834225 | −0.417113 | − | 0.908855i | \(-0.636958\pi\) | ||||
−0.417113 | + | 0.908855i | \(0.636958\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −10.8284 | −1.30359 | ||||||||
\(70\) | 0.828427i | 0.0990160i | ||||||||
\(71\) | 9.23880 | + | 9.23880i | 1.09644 | + | 1.09644i | 0.994823 | + | 0.101620i | \(0.0324026\pi\) |
0.101620 | + | 0.994823i | \(0.467597\pi\) | |||||||
\(72\) | −6.07107 | −0.715482 | ||||||||
\(73\) | −3.78837 | − | 3.78837i | −0.443395 | − | 0.443395i | 0.449756 | − | 0.893151i | \(-0.351511\pi\) |
−0.893151 | + | 0.449756i | \(0.851511\pi\) | |||||||
\(74\) | 1.12085 | − | 1.12085i | 0.130297 | − | 0.130297i | ||||
\(75\) | −2.93015 | + | 2.93015i | −0.338345 | + | 0.338345i | ||||
\(76\) | − | 8.82843i | − | 1.01269i | ||||||
\(77\) | − | 1.17157i | − | 0.133513i | ||||||
\(78\) | 1.08239 | − | 1.08239i | 0.122557 | − | 0.122557i | ||||
\(79\) | 2.93015 | − | 2.93015i | 0.329668 | − | 0.329668i | −0.522792 | − | 0.852460i | \(-0.675110\pi\) |
0.852460 | + | 0.522792i | \(0.175110\pi\) | |||||||
\(80\) | 3.91969 | + | 3.91969i | 0.438235 | + | 0.438235i | ||||
\(81\) | 5.82843 | 0.647603 | ||||||||
\(82\) | −2.38896 | − | 2.38896i | −0.263816 | − | 0.263816i | ||||
\(83\) | − | 0.343146i | − | 0.0376651i | −0.999823 | − | 0.0188326i | \(-0.994005\pi\) | ||
0.999823 | − | 0.0188326i | \(-0.00599495\pi\) | |||||||
\(84\) | −5.17157 | −0.564265 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 2.00000 | 0.215666 | ||||||||
\(87\) | − | 11.6569i | − | 1.24975i | ||||||
\(88\) | 1.21371 | + | 1.21371i | 0.129382 | + | 0.129382i | ||||
\(89\) | −9.41421 | −0.997905 | −0.498952 | − | 0.866629i | \(-0.666282\pi\) | ||||
−0.498952 | + | 0.866629i | \(0.666282\pi\) | |||||||
\(90\) | −2.07193 | − | 2.07193i | −0.218401 | − | 0.218401i | ||||
\(91\) | 1.08239 | − | 1.08239i | 0.113466 | − | 0.113466i | ||||
\(92\) | 5.35757 | − | 5.35757i | 0.558565 | − | 0.558565i | ||||
\(93\) | − | 8.48528i | − | 0.879883i | ||||||
\(94\) | − | 4.48528i | − | 0.462621i | ||||||
\(95\) | 6.30864 | − | 6.30864i | 0.647253 | − | 0.647253i | ||||
\(96\) | 8.15640 | − | 8.15640i | 0.832459 | − | 0.832459i | ||||
\(97\) | −4.55374 | − | 4.55374i | −0.462362 | − | 0.462362i | 0.437067 | − | 0.899429i | \(-0.356017\pi\) |
−0.899429 | + | 0.437067i | \(0.856017\pi\) | |||||||
\(98\) | −2.41421 | −0.243872 | ||||||||
\(99\) | 2.93015 | + | 2.93015i | 0.294491 | + | 0.294491i | ||||
\(100\) | − | 2.89949i | − | 0.289949i | ||||||
\(101\) | 13.4142 | 1.33476 | 0.667382 | − | 0.744715i | \(-0.267415\pi\) | ||||
0.667382 | + | 0.744715i | \(0.267415\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.48528 | −0.441948 | −0.220974 | − | 0.975280i | \(-0.570924\pi\) | ||||
−0.220974 | + | 0.975280i | \(0.570924\pi\) | |||||||
\(104\) | 2.24264i | 0.219909i | ||||||||
\(105\) | −3.69552 | − | 3.69552i | −0.360646 | − | 0.360646i | ||||
\(106\) | −0.585786 | −0.0568966 | ||||||||
\(107\) | −4.46088 | − | 4.46088i | −0.431250 | − | 0.431250i | 0.457803 | − | 0.889053i | \(-0.348636\pi\) |
−0.889053 | + | 0.457803i | \(0.848636\pi\) | |||||||
\(108\) | 2.79884 | − | 2.79884i | 0.269318 | − | 0.269318i | ||||
\(109\) | 3.02301 | − | 3.02301i | 0.289551 | − | 0.289551i | −0.547351 | − | 0.836903i | \(-0.684364\pi\) |
0.836903 | + | 0.547351i | \(0.184364\pi\) | |||||||
\(110\) | 0.828427i | 0.0789874i | ||||||||
\(111\) | 10.0000i | 0.949158i | ||||||||
\(112\) | 2.29610 | − | 2.29610i | 0.216961 | − | 0.216961i | ||||
\(113\) | −11.4420 | + | 11.4420i | −1.07638 | + | 1.07638i | −0.0795455 | + | 0.996831i | \(0.525347\pi\) |
−0.996831 | + | 0.0795455i | \(0.974653\pi\) | |||||||
\(114\) | −3.69552 | − | 3.69552i | −0.346117 | − | 0.346117i | ||||
\(115\) | 7.65685 | 0.714005 | ||||||||
\(116\) | 5.76745 | + | 5.76745i | 0.535494 | + | 0.535494i | ||||
\(117\) | 5.41421i | 0.500544i | ||||||||
\(118\) | −2.48528 | −0.228789 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 7.65685 | 0.698972 | ||||||||
\(121\) | 9.82843i | 0.893493i | ||||||||
\(122\) | −2.70598 | − | 2.70598i | −0.244988 | − | 0.244988i | ||||
\(123\) | 21.3137 | 1.92179 | ||||||||
\(124\) | 4.19825 | + | 4.19825i | 0.377014 | + | 0.377014i | ||||
\(125\) | 8.60474 | − | 8.60474i | 0.769632 | − | 0.769632i | ||||
\(126\) | −1.21371 | + | 1.21371i | −0.108126 | + | 0.108126i | ||||
\(127\) | 17.3137i | 1.53634i | 0.640244 | + | 0.768172i | \(0.278833\pi\) | ||||
−0.640244 | + | 0.768172i | \(0.721167\pi\) | |||||||
\(128\) | 10.5563i | 0.933058i | ||||||||
\(129\) | −8.92177 | + | 8.92177i | −0.785518 | + | 0.785518i | ||||
\(130\) | −0.765367 | + | 0.765367i | −0.0671271 | + | 0.0671271i | ||||
\(131\) | −0.131316 | − | 0.131316i | −0.0114731 | − | 0.0114731i | 0.701347 | − | 0.712820i | \(-0.252582\pi\) |
−0.712820 | + | 0.701347i | \(0.752582\pi\) | |||||||
\(132\) | −5.17157 | −0.450128 | ||||||||
\(133\) | −3.69552 | − | 3.69552i | −0.320442 | − | 0.320442i | ||||
\(134\) | − | 2.82843i | − | 0.244339i | ||||||
\(135\) | 4.00000 | 0.344265 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 8.72792 | 0.745677 | 0.372838 | − | 0.927896i | \(-0.378385\pi\) | ||||
0.372838 | + | 0.927896i | \(0.378385\pi\) | |||||||
\(138\) | − | 4.48528i | − | 0.381813i | ||||||
\(139\) | −10.5838 | − | 10.5838i | −0.897708 | − | 0.897708i | 0.0975252 | − | 0.995233i | \(-0.468907\pi\) |
−0.995233 | + | 0.0975252i | \(0.968907\pi\) | |||||||
\(140\) | 3.65685 | 0.309061 | ||||||||
\(141\) | 20.0083 | + | 20.0083i | 1.68500 | + | 1.68500i | ||||
\(142\) | −3.82683 | + | 3.82683i | −0.321141 | + | 0.321141i | ||||
\(143\) | 1.08239 | − | 1.08239i | 0.0905142 | − | 0.0905142i | ||||
\(144\) | 11.4853i | 0.957107i | ||||||||
\(145\) | 8.24264i | 0.684514i | ||||||||
\(146\) | 1.56920 | − | 1.56920i | 0.129868 | − | 0.129868i | ||||
\(147\) | 10.7695 | − | 10.7695i | 0.888256 | − | 0.888256i | ||||
\(148\) | −4.94769 | − | 4.94769i | −0.406697 | − | 0.406697i | ||||
\(149\) | −16.9706 | −1.39028 | −0.695141 | − | 0.718873i | \(-0.744658\pi\) | ||||
−0.695141 | + | 0.718873i | \(0.744658\pi\) | |||||||
\(150\) | −1.21371 | − | 1.21371i | −0.0990989 | − | 0.0990989i | ||||
\(151\) | − | 12.8284i | − | 1.04396i | −0.852957 | − | 0.521981i | \(-0.825193\pi\) | ||
0.852957 | − | 0.521981i | \(-0.174807\pi\) | |||||||
\(152\) | 7.65685 | 0.621053 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.485281 | 0.0391051 | ||||||||
\(155\) | 6.00000i | 0.481932i | ||||||||
\(156\) | −4.77791 | − | 4.77791i | −0.382539 | − | 0.382539i | ||||
\(157\) | −1.65685 | −0.132231 | −0.0661157 | − | 0.997812i | \(-0.521061\pi\) | ||||
−0.0661157 | + | 0.997812i | \(0.521061\pi\) | |||||||
\(158\) | 1.21371 | + | 1.21371i | 0.0965575 | + | 0.0965575i | ||||
\(159\) | 2.61313 | − | 2.61313i | 0.207234 | − | 0.207234i | ||||
\(160\) | −5.76745 | + | 5.76745i | −0.455957 | + | 0.455957i | ||||
\(161\) | − | 4.48528i | − | 0.353490i | ||||||
\(162\) | 2.41421i | 0.189679i | ||||||||
\(163\) | 4.01254 | − | 4.01254i | 0.314287 | − | 0.314287i | −0.532281 | − | 0.846568i | \(-0.678665\pi\) |
0.846568 | + | 0.532281i | \(0.178665\pi\) | |||||||
\(164\) | −10.5454 | + | 10.5454i | −0.823454 | + | 0.823454i | ||||
\(165\) | −3.69552 | − | 3.69552i | −0.287696 | − | 0.287696i | ||||
\(166\) | 0.142136 | 0.0110319 | ||||||||
\(167\) | −7.07401 | − | 7.07401i | −0.547403 | − | 0.547403i | 0.378286 | − | 0.925689i | \(-0.376514\pi\) |
−0.925689 | + | 0.378286i | \(0.876514\pi\) | |||||||
\(168\) | − | 4.48528i | − | 0.346047i | ||||||
\(169\) | −11.0000 | −0.846154 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 18.4853 | 1.41360 | ||||||||
\(172\) | − | 8.82843i | − | 0.673161i | ||||||
\(173\) | −2.38896 | − | 2.38896i | −0.181629 | − | 0.181629i | 0.610436 | − | 0.792065i | \(-0.290994\pi\) |
−0.792065 | + | 0.610436i | \(0.790994\pi\) | |||||||
\(174\) | 4.82843 | 0.366042 | ||||||||
\(175\) | −1.21371 | − | 1.21371i | −0.0917477 | − | 0.0917477i | ||||
\(176\) | 2.29610 | − | 2.29610i | 0.173075 | − | 0.173075i | ||||
\(177\) | 11.0866 | − | 11.0866i | 0.833316 | − | 0.833316i | ||||
\(178\) | − | 3.89949i | − | 0.292280i | ||||||
\(179\) | 6.00000i | 0.448461i | 0.974536 | + | 0.224231i | \(0.0719869\pi\) | ||||
−0.974536 | + | 0.224231i | \(0.928013\pi\) | |||||||
\(180\) | −9.14594 | + | 9.14594i | −0.681698 | + | 0.681698i | ||||
\(181\) | 8.82892 | − | 8.82892i | 0.656248 | − | 0.656248i | −0.298242 | − | 0.954490i | \(-0.596400\pi\) |
0.954490 | + | 0.298242i | \(0.0964003\pi\) | |||||||
\(182\) | 0.448342 | + | 0.448342i | 0.0332333 | + | 0.0332333i | ||||
\(183\) | 24.1421 | 1.78464 | ||||||||
\(184\) | 4.64659 | + | 4.64659i | 0.342551 | + | 0.342551i | ||||
\(185\) | − | 7.07107i | − | 0.519875i | ||||||
\(186\) | 3.51472 | 0.257712 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −19.7990 | −1.44399 | ||||||||
\(189\) | − | 2.34315i | − | 0.170439i | ||||||
\(190\) | 2.61313 | + | 2.61313i | 0.189576 | + | 0.189576i | ||||
\(191\) | −20.0000 | −1.44715 | −0.723575 | − | 0.690246i | \(-0.757502\pi\) | ||||
−0.723575 | + | 0.690246i | \(0.757502\pi\) | |||||||
\(192\) | −7.70806 | − | 7.70806i | −0.556281 | − | 0.556281i | ||||
\(193\) | 3.91969 | − | 3.91969i | 0.282145 | − | 0.282145i | −0.551819 | − | 0.833964i | \(-0.686066\pi\) |
0.833964 | + | 0.551819i | \(0.186066\pi\) | |||||||
\(194\) | 1.88622 | − | 1.88622i | 0.135423 | − | 0.135423i | ||||
\(195\) | − | 6.82843i | − | 0.488994i | ||||||
\(196\) | 10.6569i | 0.761204i | ||||||||
\(197\) | 10.5454 | − | 10.5454i | 0.751326 | − | 0.751326i | −0.223401 | − | 0.974727i | \(-0.571716\pi\) |
0.974727 | + | 0.223401i | \(0.0717159\pi\) | |||||||
\(198\) | −1.21371 | + | 1.21371i | −0.0862545 | + | 0.0862545i | ||||
\(199\) | 1.21371 | + | 1.21371i | 0.0860375 | + | 0.0860375i | 0.748816 | − | 0.662778i | \(-0.230623\pi\) |
−0.662778 | + | 0.748816i | \(0.730623\pi\) | |||||||
\(200\) | 2.51472 | 0.177817 | ||||||||
\(201\) | 12.6173 | + | 12.6173i | 0.889955 | + | 0.889955i | ||||
\(202\) | 5.55635i | 0.390943i | ||||||||
\(203\) | 4.82843 | 0.338889 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −15.0711 | −1.05261 | ||||||||
\(206\) | − | 1.85786i | − | 0.129444i | ||||||
\(207\) | 11.2179 | + | 11.2179i | 0.779696 | + | 0.779696i | ||||
\(208\) | 4.24264 | 0.294174 | ||||||||
\(209\) | −3.69552 | − | 3.69552i | −0.255624 | − | 0.255624i | ||||
\(210\) | 1.53073 | − | 1.53073i | 0.105631 | − | 0.105631i | ||||
\(211\) | 10.5838 | − | 10.5838i | 0.728620 | − | 0.728620i | −0.241725 | − | 0.970345i | \(-0.577713\pi\) |
0.970345 | + | 0.241725i | \(0.0777131\pi\) | |||||||
\(212\) | 2.58579i | 0.177593i | ||||||||
\(213\) | − | 34.1421i | − | 2.33938i | ||||||
\(214\) | 1.84776 | − | 1.84776i | 0.126310 | − | 0.126310i | ||||
\(215\) | 6.30864 | − | 6.30864i | 0.430246 | − | 0.430246i | ||||
\(216\) | 2.42742 | + | 2.42742i | 0.165165 | + | 0.165165i | ||||
\(217\) | 3.51472 | 0.238595 | ||||||||
\(218\) | 1.25217 | + | 1.25217i | 0.0848077 | + | 0.0848077i | ||||
\(219\) | 14.0000i | 0.946032i | ||||||||
\(220\) | 3.65685 | 0.246545 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −4.14214 | −0.278002 | ||||||||
\(223\) | − | 0.828427i | − | 0.0554756i | −0.999615 | − | 0.0277378i | \(-0.991170\pi\) | ||
0.999615 | − | 0.0277378i | \(-0.00883035\pi\) | |||||||
\(224\) | 3.37849 | + | 3.37849i | 0.225735 | + | 0.225735i | ||||
\(225\) | 6.07107 | 0.404738 | ||||||||
\(226\) | −4.73945 | − | 4.73945i | −0.315263 | − | 0.315263i | ||||
\(227\) | −3.56420 | + | 3.56420i | −0.236564 | + | 0.236564i | −0.815426 | − | 0.578861i | \(-0.803497\pi\) |
0.578861 | + | 0.815426i | \(0.303497\pi\) | |||||||
\(228\) | −16.3128 | + | 16.3128i | −1.08034 | + | 1.08034i | ||||
\(229\) | − | 22.8284i | − | 1.50854i | −0.656562 | − | 0.754272i | \(-0.727990\pi\) | ||
0.656562 | − | 0.754272i | \(-0.272010\pi\) | |||||||
\(230\) | 3.17157i | 0.209127i | ||||||||
\(231\) | −2.16478 | + | 2.16478i | −0.142432 | + | 0.142432i | ||||
\(232\) | −5.00208 | + | 5.00208i | −0.328403 | + | 0.328403i | ||||
\(233\) | −7.16687 | − | 7.16687i | −0.469517 | − | 0.469517i | 0.432241 | − | 0.901758i | \(-0.357723\pi\) |
−0.901758 | + | 0.432241i | \(0.857723\pi\) | |||||||
\(234\) | −2.24264 | −0.146606 | ||||||||
\(235\) | −14.1480 | − | 14.1480i | −0.922915 | − | 0.922915i | ||||
\(236\) | 10.9706i | 0.714123i | ||||||||
\(237\) | −10.8284 | −0.703382 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 9.17157 | 0.593260 | 0.296630 | − | 0.954993i | \(-0.404137\pi\) | ||||
0.296630 | + | 0.954993i | \(0.404137\pi\) | |||||||
\(240\) | − | 14.4853i | − | 0.935021i | ||||||
\(241\) | 8.69760 | + | 8.69760i | 0.560262 | + | 0.560262i | 0.929382 | − | 0.369120i | \(-0.120341\pi\) |
−0.369120 | + | 0.929382i | \(0.620341\pi\) | |||||||
\(242\) | −4.07107 | −0.261698 | ||||||||
\(243\) | −15.3617 | − | 15.3617i | −0.985455 | − | 0.985455i | ||||
\(244\) | −11.9448 | + | 11.9448i | −0.764686 | + | 0.764686i | ||||
\(245\) | −7.61521 | + | 7.61521i | −0.486518 | + | 0.486518i | ||||
\(246\) | 8.82843i | 0.562880i | ||||||||
\(247\) | − | 6.82843i | − | 0.434482i | ||||||
\(248\) | −3.64113 | + | 3.64113i | −0.231212 | + | 0.231212i | ||||
\(249\) | −0.634051 | + | 0.634051i | −0.0401813 | + | 0.0401813i | ||||
\(250\) | 3.56420 | + | 3.56420i | 0.225420 | + | 0.225420i | ||||
\(251\) | −3.51472 | −0.221847 | −0.110924 | − | 0.993829i | \(-0.535381\pi\) | ||||
−0.110924 | + | 0.993829i | \(0.535381\pi\) | |||||||
\(252\) | 5.35757 | + | 5.35757i | 0.337495 | + | 0.337495i | ||||
\(253\) | − | 4.48528i | − | 0.281987i | ||||||
\(254\) | −7.17157 | −0.449985 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.97056 | 0.248160 | ||||||||
\(257\) | 22.1421i | 1.38119i | 0.723242 | + | 0.690594i | \(0.242651\pi\) | ||||
−0.723242 | + | 0.690594i | \(0.757349\pi\) | |||||||
\(258\) | −3.69552 | − | 3.69552i | −0.230073 | − | 0.230073i | ||||
\(259\) | −4.14214 | −0.257380 | ||||||||
\(260\) | 3.37849 | + | 3.37849i | 0.209525 | + | 0.209525i | ||||
\(261\) | −12.0761 | + | 12.0761i | −0.747491 | + | 0.747491i | ||||
\(262\) | 0.0543929 | − | 0.0543929i | 0.00336041 | − | 0.00336041i | ||||
\(263\) | 6.48528i | 0.399900i | 0.979806 | + | 0.199950i | \(0.0640779\pi\) | ||||
−0.979806 | + | 0.199950i | \(0.935922\pi\) | |||||||
\(264\) | − | 4.48528i | − | 0.276050i | ||||||
\(265\) | −1.84776 | + | 1.84776i | −0.113507 | + | 0.113507i | ||||
\(266\) | 1.53073 | − | 1.53073i | 0.0938553 | − | 0.0938553i | ||||
\(267\) | 17.3952 | + | 17.3952i | 1.06457 | + | 1.06457i | ||||
\(268\) | −12.4853 | −0.762660 | ||||||||
\(269\) | −4.49935 | − | 4.49935i | −0.274330 | − | 0.274330i | 0.556511 | − | 0.830841i | \(-0.312140\pi\) |
−0.830841 | + | 0.556511i | \(0.812140\pi\) | |||||||
\(270\) | 1.65685i | 0.100833i | ||||||||
\(271\) | 6.14214 | 0.373108 | 0.186554 | − | 0.982445i | \(-0.440268\pi\) | ||||
0.186554 | + | 0.982445i | \(0.440268\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −4.00000 | −0.242091 | ||||||||
\(274\) | 3.61522i | 0.218404i | ||||||||
\(275\) | −1.21371 | − | 1.21371i | −0.0731894 | − | 0.0731894i | ||||
\(276\) | −19.7990 | −1.19176 | ||||||||
\(277\) | 15.5859 | + | 15.5859i | 0.936466 | + | 0.936466i | 0.998099 | − | 0.0616329i | \(-0.0196308\pi\) |
−0.0616329 | + | 0.998099i | \(0.519631\pi\) | |||||||
\(278\) | 4.38396 | − | 4.38396i | 0.262933 | − | 0.262933i | ||||
\(279\) | −8.79045 | + | 8.79045i | −0.526271 | + | 0.526271i | ||||
\(280\) | 3.17157i | 0.189538i | ||||||||
\(281\) | − | 17.8995i | − | 1.06779i | −0.845549 | − | 0.533897i | \(-0.820727\pi\) | ||
0.845549 | − | 0.533897i | \(-0.179273\pi\) | |||||||
\(282\) | −8.28772 | + | 8.28772i | −0.493527 | + | 0.493527i | ||||
\(283\) | −16.1815 | + | 16.1815i | −0.961890 | + | 0.961890i | −0.999300 | − | 0.0374103i | \(-0.988089\pi\) |
0.0374103 | + | 0.999300i | \(0.488089\pi\) | |||||||
\(284\) | 16.8925 | + | 16.8925i | 1.00238 | + | 1.00238i | ||||
\(285\) | −23.3137 | −1.38098 | ||||||||
\(286\) | 0.448342 | + | 0.448342i | 0.0265110 | + | 0.0265110i | ||||
\(287\) | 8.82843i | 0.521126i | ||||||||
\(288\) | −16.8995 | −0.995812 | ||||||||
\(289\) | 0 | 0 | ||||||||
\(290\) | −3.41421 | −0.200490 | ||||||||
\(291\) | 16.8284i | 0.986500i | ||||||||
\(292\) | −6.92676 | − | 6.92676i | −0.405358 | − | 0.405358i | ||||
\(293\) | 23.6569 | 1.38205 | 0.691024 | − | 0.722832i | \(-0.257160\pi\) | ||||
0.691024 | + | 0.722832i | \(0.257160\pi\) | |||||||
\(294\) | 4.46088 | + | 4.46088i | 0.260164 | + | 0.260164i | ||||
\(295\) | −7.83938 | + | 7.83938i | −0.456426 | + | 0.456426i | ||||
\(296\) | 4.29111 | − | 4.29111i | 0.249416 | − | 0.249416i | ||||
\(297\) | − | 2.34315i | − | 0.135963i | ||||||
\(298\) | − | 7.02944i | − | 0.407204i | ||||||
\(299\) | 4.14386 | − | 4.14386i | 0.239646 | − | 0.239646i | ||||
\(300\) | −5.35757 | + | 5.35757i | −0.309319 | + | 0.309319i | ||||
\(301\) | −3.69552 | − | 3.69552i | −0.213006 | − | 0.213006i | ||||
\(302\) | 5.31371 | 0.305770 | ||||||||
\(303\) | −24.7862 | − | 24.7862i | −1.42393 | − | 1.42393i | ||||
\(304\) | − | 14.4853i | − | 0.830788i | ||||||
\(305\) | −17.0711 | −0.977486 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.14214 | 0.122258 | 0.0611291 | − | 0.998130i | \(-0.480530\pi\) | ||||
0.0611291 | + | 0.998130i | \(0.480530\pi\) | |||||||
\(308\) | − | 2.14214i | − | 0.122060i | ||||||
\(309\) | 8.28772 | + | 8.28772i | 0.471472 | + | 0.471472i | ||||
\(310\) | −2.48528 | −0.141154 | ||||||||
\(311\) | −3.19278 | − | 3.19278i | −0.181046 | − | 0.181046i | 0.610765 | − | 0.791812i | \(-0.290862\pi\) |
−0.791812 | + | 0.610765i | \(0.790862\pi\) | |||||||
\(312\) | 4.14386 | − | 4.14386i | 0.234600 | − | 0.234600i | ||||
\(313\) | −9.01462 | + | 9.01462i | −0.509537 | + | 0.509537i | −0.914384 | − | 0.404848i | \(-0.867325\pi\) |
0.404848 | + | 0.914384i | \(0.367325\pi\) | |||||||
\(314\) | − | 0.686292i | − | 0.0387297i | ||||||
\(315\) | 7.65685i | 0.431415i | ||||||||
\(316\) | 5.35757 | − | 5.35757i | 0.301387 | − | 0.301387i | ||||
\(317\) | 4.10540 | − | 4.10540i | 0.230582 | − | 0.230582i | −0.582354 | − | 0.812936i | \(-0.697868\pi\) |
0.812936 | + | 0.582354i | \(0.197868\pi\) | |||||||
\(318\) | 1.08239 | + | 1.08239i | 0.0606975 | + | 0.0606975i | ||||
\(319\) | 4.82843 | 0.270340 | ||||||||
\(320\) | 5.45042 | + | 5.45042i | 0.304688 | + | 0.304688i | ||||
\(321\) | 16.4853i | 0.920119i | ||||||||
\(322\) | 1.85786 | 0.103535 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 10.6569 | 0.592047 | ||||||||
\(325\) | − | 2.24264i | − | 0.124399i | ||||||
\(326\) | 1.66205 | + | 1.66205i | 0.0920524 | + | 0.0920524i | ||||
\(327\) | −11.1716 | −0.617789 | ||||||||
\(328\) | −9.14594 | − | 9.14594i | −0.505000 | − | 0.505000i | ||||
\(329\) | −8.28772 | + | 8.28772i | −0.456917 | + | 0.456917i | ||||
\(330\) | 1.53073 | − | 1.53073i | 0.0842641 | − | 0.0842641i | ||||
\(331\) | 17.7990i | 0.978321i | 0.872194 | + | 0.489160i | \(0.162697\pi\) | ||||
−0.872194 | + | 0.489160i | \(0.837303\pi\) | |||||||
\(332\) | − | 0.627417i | − | 0.0344340i | ||||||
\(333\) | 10.3596 | − | 10.3596i | 0.567705 | − | 0.567705i | ||||
\(334\) | 2.93015 | − | 2.93015i | 0.160331 | − | 0.160331i | ||||
\(335\) | −8.92177 | − | 8.92177i | −0.487448 | − | 0.487448i | ||||
\(336\) | −8.48528 | −0.462910 | ||||||||
\(337\) | 24.3764 | + | 24.3764i | 1.32786 | + | 1.32786i | 0.907230 | + | 0.420634i | \(0.138192\pi\) |
0.420634 | + | 0.907230i | \(0.361808\pi\) | |||||||
\(338\) | − | 4.55635i | − | 0.247833i | ||||||
\(339\) | 42.2843 | 2.29657 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.51472 | 0.190333 | ||||||||
\(342\) | 7.65685i | 0.414035i | ||||||||
\(343\) | 9.81845 | + | 9.81845i | 0.530147 | + | 0.530147i | ||||
\(344\) | 7.65685 | 0.412830 | ||||||||
\(345\) | −14.1480 | − | 14.1480i | −0.761704 | − | 0.761704i | ||||
\(346\) | 0.989538 | − | 0.989538i | 0.0531979 | − | 0.0531979i | ||||
\(347\) | −2.74444 | + | 2.74444i | −0.147329 | + | 0.147329i | −0.776924 | − | 0.629595i | \(-0.783221\pi\) |
0.629595 | + | 0.776924i | \(0.283221\pi\) | |||||||
\(348\) | − | 21.3137i | − | 1.14253i | ||||||
\(349\) | 4.24264i | 0.227103i | 0.993532 | + | 0.113552i | \(0.0362227\pi\) | ||||
−0.993532 | + | 0.113552i | \(0.963777\pi\) | |||||||
\(350\) | 0.502734 | − | 0.502734i | 0.0268723 | − | 0.0268723i | ||||
\(351\) | 2.16478 | − | 2.16478i | 0.115548 | − | 0.115548i | ||||
\(352\) | 3.37849 | + | 3.37849i | 0.180074 | + | 0.180074i | ||||
\(353\) | 14.0000 | 0.745145 | 0.372572 | − | 0.928003i | \(-0.378476\pi\) | ||||
0.372572 | + | 0.928003i | \(0.378476\pi\) | |||||||
\(354\) | 4.59220 | + | 4.59220i | 0.244073 | + | 0.244073i | ||||
\(355\) | 24.1421i | 1.28133i | ||||||||
\(356\) | −17.2132 | −0.912298 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.48528 | −0.131351 | ||||||||
\(359\) | − | 23.1716i | − | 1.22295i | −0.791264 | − | 0.611474i | \(-0.790577\pi\) | ||
0.791264 | − | 0.611474i | \(-0.209423\pi\) | |||||||
\(360\) | −7.93223 | − | 7.93223i | −0.418065 | − | 0.418065i | ||||
\(361\) | −4.31371 | −0.227037 | ||||||||
\(362\) | 3.65706 | + | 3.65706i | 0.192211 | + | 0.192211i | ||||
\(363\) | 18.1606 | − | 18.1606i | 0.953182 | − | 0.953182i | ||||
\(364\) | 1.97908 | − | 1.97908i | 0.103732 | − | 0.103732i | ||||
\(365\) | − | 9.89949i | − | 0.518163i | ||||||
\(366\) | 10.0000i | 0.522708i | ||||||||
\(367\) | −18.6089 | + | 18.6089i | −0.971377 | + | 0.971377i | −0.999602 | − | 0.0282246i | \(-0.991015\pi\) |
0.0282246 | + | 0.999602i | \(0.491015\pi\) | |||||||
\(368\) | 8.79045 | − | 8.79045i | 0.458234 | − | 0.458234i | ||||
\(369\) | −22.0803 | − | 22.0803i | −1.14945 | − | 1.14945i | ||||
\(370\) | 2.92893 | 0.152268 | ||||||||
\(371\) | 1.08239 | + | 1.08239i | 0.0561950 | + | 0.0561950i | ||||
\(372\) | − | 15.5147i | − | 0.804401i | ||||||
\(373\) | 19.5563 | 1.01259 | 0.506295 | − | 0.862361i | \(-0.331015\pi\) | ||||
0.506295 | + | 0.862361i | \(0.331015\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −31.7990 | −1.64209 | ||||||||
\(376\) | − | 17.1716i | − | 0.885556i | ||||||
\(377\) | 4.46088 | + | 4.46088i | 0.229747 | + | 0.229747i | ||||
\(378\) | 0.970563 | 0.0499204 | ||||||||
\(379\) | 0.765367 | + | 0.765367i | 0.0393143 | + | 0.0393143i | 0.726491 | − | 0.687176i | \(-0.241150\pi\) |
−0.687176 | + | 0.726491i | \(0.741150\pi\) | |||||||
\(380\) | 11.5349 | − | 11.5349i | 0.591728 | − | 0.591728i | ||||
\(381\) | 31.9916 | − | 31.9916i | 1.63898 | − | 1.63898i | ||||
\(382\) | − | 8.28427i | − | 0.423860i | ||||||
\(383\) | 5.51472i | 0.281789i | 0.990025 | + | 0.140894i | \(0.0449978\pi\) | ||||
−0.990025 | + | 0.140894i | \(0.955002\pi\) | |||||||
\(384\) | 19.5056 | − | 19.5056i | 0.995390 | − | 0.995390i | ||||
\(385\) | 1.53073 | − | 1.53073i | 0.0780134 | − | 0.0780134i | ||||
\(386\) | 1.62359 | + | 1.62359i | 0.0826385 | + | 0.0826385i | ||||
\(387\) | 18.4853 | 0.939660 | ||||||||
\(388\) | −8.32618 | − | 8.32618i | −0.422698 | − | 0.422698i | ||||
\(389\) | − | 16.1421i | − | 0.818439i | −0.912436 | − | 0.409219i | \(-0.865801\pi\) | ||
0.912436 | − | 0.409219i | \(-0.134199\pi\) | |||||||
\(390\) | 2.82843 | 0.143223 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −9.24264 | −0.466824 | ||||||||
\(393\) | 0.485281i | 0.0244792i | ||||||||
\(394\) | 4.36803 | + | 4.36803i | 0.220058 | + | 0.220058i | ||||
\(395\) | 7.65685 | 0.385258 | ||||||||
\(396\) | 5.35757 | + | 5.35757i | 0.269228 | + | 0.269228i | ||||
\(397\) | 19.2814 | − | 19.2814i | 0.967707 | − | 0.967707i | −0.0317879 | − | 0.999495i | \(-0.510120\pi\) |
0.999495 | + | 0.0317879i | \(0.0101201\pi\) | |||||||
\(398\) | −0.502734 | + | 0.502734i | −0.0251998 | + | 0.0251998i | ||||
\(399\) | 13.6569i | 0.683698i | ||||||||
\(400\) | − | 4.75736i | − | 0.237868i | ||||||
\(401\) | −12.0761 | + | 12.0761i | −0.603051 | + | 0.603051i | −0.941121 | − | 0.338070i | \(-0.890226\pi\) |
0.338070 | + | 0.941121i | \(0.390226\pi\) | |||||||
\(402\) | −5.22625 | + | 5.22625i | −0.260662 | + | 0.260662i | ||||
\(403\) | 3.24718 | + | 3.24718i | 0.161753 | + | 0.161753i | ||||
\(404\) | 24.5269 | 1.22026 | ||||||||
\(405\) | 7.61521 | + | 7.61521i | 0.378403 | + | 0.378403i | ||||
\(406\) | 2.00000i | 0.0992583i | ||||||||
\(407\) | −4.14214 | −0.205318 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.3137 | 0.955001 | 0.477501 | − | 0.878631i | \(-0.341543\pi\) | ||||
0.477501 | + | 0.878631i | \(0.341543\pi\) | |||||||
\(410\) | − | 6.24264i | − | 0.308302i | ||||||
\(411\) | −16.1271 | − | 16.1271i | −0.795491 | − | 0.795491i | ||||
\(412\) | −8.20101 | −0.404035 | ||||||||
\(413\) | 4.59220 | + | 4.59220i | 0.225967 | + | 0.225967i | ||||
\(414\) | −4.64659 | + | 4.64659i | −0.228368 | + | 0.228368i | ||||
\(415\) | 0.448342 | − | 0.448342i | 0.0220082 | − | 0.0220082i | ||||
\(416\) | 6.24264i | 0.306071i | ||||||||
\(417\) | 39.1127i | 1.91536i | ||||||||
\(418\) | 1.53073 | − | 1.53073i | 0.0748706 | − | 0.0748706i | ||||
\(419\) | 19.0572 | − | 19.0572i | 0.931008 | − | 0.931008i | −0.0667615 | − | 0.997769i | \(-0.521267\pi\) |
0.997769 | + | 0.0667615i | \(0.0212667\pi\) | |||||||
\(420\) | −6.75699 | − | 6.75699i | −0.329707 | − | 0.329707i | ||||
\(421\) | −17.4142 | −0.848717 | −0.424358 | − | 0.905494i | \(-0.639500\pi\) | ||||
−0.424358 | + | 0.905494i | \(0.639500\pi\) | |||||||
\(422\) | 4.38396 | + | 4.38396i | 0.213408 | + | 0.213408i | ||||
\(423\) | − | 41.4558i | − | 2.01565i | ||||||
\(424\) | −2.24264 | −0.108912 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 14.1421 | 0.685189 | ||||||||
\(427\) | 10.0000i | 0.483934i | ||||||||
\(428\) | −8.15640 | − | 8.15640i | −0.394255 | − | 0.394255i | ||||
\(429\) | −4.00000 | −0.193122 | ||||||||
\(430\) | 2.61313 | + | 2.61313i | 0.126016 | + | 0.126016i | ||||
\(431\) | −28.1647 | + | 28.1647i | −1.35665 | + | 1.35665i | −0.478631 | + | 0.878016i | \(0.658867\pi\) |
−0.878016 | + | 0.478631i | \(0.841133\pi\) | |||||||
\(432\) | 4.59220 | − | 4.59220i | 0.220942 | − | 0.220942i | ||||
\(433\) | 15.1716i | 0.729099i | 0.931184 | + | 0.364550i | \(0.118777\pi\) | ||||
−0.931184 | + | 0.364550i | \(0.881223\pi\) | |||||||
\(434\) | 1.45584i | 0.0698828i | ||||||||
\(435\) | 15.2304 | − | 15.2304i | 0.730242 | − | 0.730242i | ||||
\(436\) | 5.52735 | − | 5.52735i | 0.264712 | − | 0.264712i | ||||
\(437\) | −14.1480 | − | 14.1480i | −0.676792 | − | 0.676792i | ||||
\(438\) | −5.79899 | −0.277086 | ||||||||
\(439\) | −7.70806 | − | 7.70806i | −0.367886 | − | 0.367886i | 0.498820 | − | 0.866706i | \(-0.333767\pi\) |
−0.866706 | + | 0.498820i | \(0.833767\pi\) | |||||||
\(440\) | 3.17157i | 0.151199i | ||||||||
\(441\) | −22.3137 | −1.06256 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.7990 | 0.750633 | 0.375316 | − | 0.926897i | \(-0.377534\pi\) | ||||
0.375316 | + | 0.926897i | \(0.377534\pi\) | |||||||
\(444\) | 18.2843i | 0.867733i | ||||||||
\(445\) | −12.3003 | − | 12.3003i | −0.583088 | − | 0.583088i | ||||
\(446\) | 0.343146 | 0.0162484 | ||||||||
\(447\) | 31.3575 | + | 31.3575i | 1.48316 | + | 1.48316i | ||||
\(448\) | 3.19278 | − | 3.19278i | 0.150845 | − | 0.150845i | ||||
\(449\) | −13.2898 | + | 13.2898i | −0.627184 | + | 0.627184i | −0.947359 | − | 0.320174i | \(-0.896259\pi\) |
0.320174 | + | 0.947359i | \(0.396259\pi\) | |||||||
\(450\) | 2.51472i | 0.118545i | ||||||||
\(451\) | 8.82843i | 0.415714i | ||||||||
\(452\) | −20.9209 | + | 20.9209i | −0.984038 | + | 0.984038i | ||||
\(453\) | −23.7038 | + | 23.7038i | −1.11370 | + | 1.11370i | ||||
\(454\) | −1.47634 | − | 1.47634i | −0.0692881 | − | 0.0692881i | ||||
\(455\) | 2.82843 | 0.132599 | ||||||||
\(456\) | −14.1480 | − | 14.1480i | −0.662542 | − | 0.662542i | ||||
\(457\) | − | 18.8284i | − | 0.880757i | −0.897812 | − | 0.440378i | \(-0.854844\pi\) | ||
0.897812 | − | 0.440378i | \(-0.145156\pi\) | |||||||
\(458\) | 9.45584 | 0.441843 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 14.0000 | 0.652753 | ||||||||
\(461\) | − | 24.0416i | − | 1.11973i | −0.828584 | − | 0.559865i | \(-0.810853\pi\) | ||
0.828584 | − | 0.559865i | \(-0.189147\pi\) | |||||||
\(462\) | −0.896683 | − | 0.896683i | −0.0417175 | − | 0.0417175i | ||||
\(463\) | 30.6274 | 1.42338 | 0.711688 | − | 0.702495i | \(-0.247931\pi\) | ||||
0.711688 | + | 0.702495i | \(0.247931\pi\) | |||||||
\(464\) | 9.46297 | + | 9.46297i | 0.439307 | + | 0.439307i | ||||
\(465\) | 11.0866 | − | 11.0866i | 0.514127 | − | 0.514127i | ||||
\(466\) | 2.96861 | − | 2.96861i | 0.137518 | − | 0.137518i | ||||
\(467\) | − | 12.6274i | − | 0.584327i | −0.956368 | − | 0.292164i | \(-0.905625\pi\) | ||
0.956368 | − | 0.292164i | \(-0.0943752\pi\) | |||||||
\(468\) | 9.89949i | 0.457604i | ||||||||
\(469\) | −5.22625 | + | 5.22625i | −0.241326 | + | 0.241326i | ||||
\(470\) | 5.86030 | − | 5.86030i | 0.270316 | − | 0.270316i | ||||
\(471\) | 3.06147 | + | 3.06147i | 0.141065 | + | 0.141065i | ||||
\(472\) | −9.51472 | −0.437950 | ||||||||
\(473\) | −3.69552 | − | 3.69552i | −0.169920 | − | 0.169920i | ||||
\(474\) | − | 4.48528i | − | 0.206016i | ||||||
\(475\) | −7.65685 | −0.351321 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.41421 | −0.247900 | ||||||||
\(478\) | 3.79899i | 0.173762i | ||||||||
\(479\) | −24.4692 | − | 24.4692i | −1.11803 | − | 1.11803i | −0.992031 | − | 0.125996i | \(-0.959787\pi\) |
−0.125996 | − | 0.992031i | \(-0.540213\pi\) | |||||||
\(480\) | 21.3137 | 0.972833 | ||||||||
\(481\) | −3.82683 | − | 3.82683i | −0.174489 | − | 0.174489i | ||||
\(482\) | −3.60266 | + | 3.60266i | −0.164097 | + | 0.164097i | ||||
\(483\) | −8.28772 | + | 8.28772i | −0.377104 | + | 0.377104i | ||||
\(484\) | 17.9706i | 0.816844i | ||||||||
\(485\) | − | 11.8995i | − | 0.540328i | ||||||
\(486\) | 6.36304 | − | 6.36304i | 0.288633 | − | 0.288633i | ||||
\(487\) | 3.11586 | − | 3.11586i | 0.141193 | − | 0.141193i | −0.632977 | − | 0.774170i | \(-0.718167\pi\) |
0.774170 | + | 0.632977i | \(0.218167\pi\) | |||||||
\(488\) | −10.3596 | − | 10.3596i | −0.468959 | − | 0.468959i | ||||
\(489\) | −14.8284 | −0.670565 | ||||||||
\(490\) | −3.15432 | − | 3.15432i | −0.142498 | − | 0.142498i | ||||
\(491\) | 25.1127i | 1.13332i | 0.823952 | + | 0.566660i | \(0.191765\pi\) | ||||
−0.823952 | + | 0.566660i | \(0.808235\pi\) | |||||||
\(492\) | 38.9706 | 1.75693 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 2.82843 | 0.127257 | ||||||||
\(495\) | 7.65685i | 0.344150i | ||||||||
\(496\) | 6.88830 | + | 6.88830i | 0.309294 | + | 0.309294i | ||||
\(497\) | 14.1421 | 0.634361 | ||||||||
\(498\) | −0.262632 | − | 0.262632i | −0.0117688 | − | 0.0117688i | ||||
\(499\) | 26.1857 | − | 26.1857i | 1.17223 | − | 1.17223i | 0.190554 | − | 0.981677i | \(-0.438972\pi\) |
0.981677 | − | 0.190554i | \(-0.0610285\pi\) | |||||||
\(500\) | 15.7331 | − | 15.7331i | 0.703608 | − | 0.703608i | ||||
\(501\) | 26.1421i | 1.16794i | ||||||||
\(502\) | − | 1.45584i | − | 0.0649775i | ||||||
\(503\) | −10.5838 | + | 10.5838i | −0.471909 | + | 0.471909i | −0.902532 | − | 0.430623i | \(-0.858294\pi\) |
0.430623 | + | 0.902532i | \(0.358294\pi\) | |||||||
\(504\) | −4.64659 | + | 4.64659i | −0.206976 | + | 0.206976i | ||||
\(505\) | 17.5265 | + | 17.5265i | 0.779920 | + | 0.779920i | ||||
\(506\) | 1.85786 | 0.0825921 | ||||||||
\(507\) | 20.3253 | + | 20.3253i | 0.902680 | + | 0.902680i | ||||
\(508\) | 31.6569i | 1.40455i | ||||||||
\(509\) | 3.02944 | 0.134277 | 0.0671387 | − | 0.997744i | \(-0.478613\pi\) | ||||
0.0671387 | + | 0.997744i | \(0.478613\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.79899 | −0.256532 | ||||||||
\(512\) | 22.7574i | 1.00574i | ||||||||
\(513\) | −7.39104 | − | 7.39104i | −0.326322 | − | 0.326322i | ||||
\(514\) | −9.17157 | −0.404541 | ||||||||
\(515\) | −5.86030 | − | 5.86030i | −0.258236 | − | 0.258236i | ||||
\(516\) | −16.3128 | + | 16.3128i | −0.718131 | + | 0.718131i | ||||
\(517\) | −8.28772 | + | 8.28772i | −0.364493 | + | 0.364493i | ||||
\(518\) | − | 1.71573i | − | 0.0753848i | ||||||
\(519\) | 8.82843i | 0.387525i | ||||||||
\(520\) | −2.93015 | + | 2.93015i | −0.128496 | + | 0.128496i | ||||
\(521\) | −2.20325 | + | 2.20325i | −0.0965260 | + | 0.0965260i | −0.753721 | − | 0.657195i | \(-0.771743\pi\) |
0.657195 | + | 0.753721i | \(0.271743\pi\) | |||||||
\(522\) | −5.00208 | − | 5.00208i | −0.218935 | − | 0.218935i | ||||
\(523\) | −6.82843 | −0.298586 | −0.149293 | − | 0.988793i | \(-0.547700\pi\) | ||||
−0.149293 | + | 0.988793i | \(0.547700\pi\) | |||||||
\(524\) | −0.240102 | − | 0.240102i | −0.0104889 | − | 0.0104889i | ||||
\(525\) | 4.48528i | 0.195754i | ||||||||
\(526\) | −2.68629 | −0.117128 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −8.48528 | −0.369274 | ||||||||
\(529\) | 5.82843i | 0.253410i | ||||||||
\(530\) | −0.765367 | − | 0.765367i | −0.0332454 | − | 0.0332454i | ||||
\(531\) | −22.9706 | −0.996838 | ||||||||
\(532\) | −6.75699 | − | 6.75699i | −0.292952 | − | 0.292952i | ||||
\(533\) | −8.15640 | + | 8.15640i | −0.353293 | + | 0.353293i | ||||
\(534\) | −7.20533 | + | 7.20533i | −0.311805 | + | 0.311805i | ||||
\(535\) | − | 11.6569i | − | 0.503970i | ||||||
\(536\) | − | 10.8284i | − | 0.467717i | ||||||
\(537\) | 11.0866 | − | 11.0866i | 0.478420 | − | 0.478420i | ||||
\(538\) | 1.86369 | − | 1.86369i | 0.0803494 | − | 0.0803494i | ||||
\(539\) | 4.46088 | + | 4.46088i | 0.192144 | + | 0.192144i | ||||
\(540\) | 7.31371 | 0.314732 | ||||||||
\(541\) | 12.9728 | + | 12.9728i | 0.557743 | + | 0.557743i | 0.928664 | − | 0.370921i | \(-0.120958\pi\) |
−0.370921 | + | 0.928664i | \(0.620958\pi\) | |||||||
\(542\) | 2.54416i | 0.109281i | ||||||||
\(543\) | −32.6274 | −1.40018 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 7.89949 | 0.338377 | ||||||||
\(546\) | − | 1.65685i | − | 0.0709068i | ||||||
\(547\) | 17.5265 | + | 17.5265i | 0.749380 | + | 0.749380i | 0.974363 | − | 0.224983i | \(-0.0722327\pi\) |
−0.224983 | + | 0.974363i | \(0.572233\pi\) | |||||||
\(548\) | 15.9584 | 0.681708 | ||||||||
\(549\) | −25.0104 | − | 25.0104i | −1.06742 | − | 1.06742i | ||||
\(550\) | 0.502734 | − | 0.502734i | 0.0214367 | − | 0.0214367i | ||||
\(551\) | 15.2304 | − | 15.2304i | 0.648837 | − | 0.648837i | ||||
\(552\) | − | 17.1716i | − | 0.730871i | ||||||
\(553\) | − | 4.48528i | − | 0.190734i | ||||||
\(554\) | −6.45589 | + | 6.45589i | −0.274285 | + | 0.274285i | ||||
\(555\) | −13.0656 | + | 13.0656i | −0.554605 | + | 0.554605i | ||||
\(556\) | −19.3517 | − | 19.3517i | −0.820697 | − | 0.820697i | ||||
\(557\) | 28.2426 | 1.19668 | 0.598340 | − | 0.801243i | \(-0.295827\pi\) | ||||
0.598340 | + | 0.801243i | \(0.295827\pi\) | |||||||
\(558\) | −3.64113 | − | 3.64113i | −0.154141 | − | 0.154141i | ||||
\(559\) | − | 6.82843i | − | 0.288812i | ||||||
\(560\) | 6.00000 | 0.253546 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 7.41421 | 0.312750 | ||||||||
\(563\) | − | 38.7696i | − | 1.63394i | −0.576679 | − | 0.816971i | \(-0.695652\pi\) | ||
0.576679 | − | 0.816971i | \(-0.304348\pi\) | |||||||
\(564\) | 36.5838 | + | 36.5838i | 1.54045 | + | 1.54045i | ||||
\(565\) | −29.8995 | −1.25788 | ||||||||
\(566\) | −6.70259 | − | 6.70259i | −0.281731 | − | 0.281731i | ||||
\(567\) | 4.46088 | − | 4.46088i | 0.187340 | − | 0.187340i | ||||
\(568\) | −14.6508 | + | 14.6508i | −0.614732 | + | 0.614732i | ||||
\(569\) | − | 36.0416i | − | 1.51094i | −0.655181 | − | 0.755472i | \(-0.727408\pi\) | ||
0.655181 | − | 0.755472i | \(-0.272592\pi\) | |||||||
\(570\) | − | 9.65685i | − | 0.404481i | ||||||
\(571\) | 33.3910 | − | 33.3910i | 1.39737 | − | 1.39737i | 0.589873 | − | 0.807496i | \(-0.299178\pi\) |
0.807496 | − | 0.589873i | \(-0.200822\pi\) | |||||||
\(572\) | 1.97908 | − | 1.97908i | 0.0827493 | − | 0.0827493i | ||||
\(573\) | 36.9552 | + | 36.9552i | 1.54382 | + | 1.54382i | ||||
\(574\) | −3.65685 | −0.152634 | ||||||||
\(575\) | −4.64659 | − | 4.64659i | −0.193776 | − | 0.193776i | ||||
\(576\) | 15.9706i | 0.665440i | ||||||||
\(577\) | 12.9289 | 0.538238 | 0.269119 | − | 0.963107i | \(-0.413267\pi\) | ||||
0.269119 | + | 0.963107i | \(0.413267\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −14.4853 | −0.601988 | ||||||||
\(580\) | 15.0711i | 0.625792i | ||||||||
\(581\) | −0.262632 | − | 0.262632i | −0.0108958 | − | 0.0108958i | ||||
\(582\) | −6.97056 | −0.288939 | ||||||||
\(583\) | 1.08239 | + | 1.08239i | 0.0448281 | + | 0.0448281i | ||||
\(584\) | 6.00755 | − | 6.00755i | 0.248594 | − | 0.248594i | ||||
\(585\) | −7.07401 | + | 7.07401i | −0.292474 | + | 0.292474i | ||||
\(586\) | 9.79899i | 0.404793i | ||||||||
\(587\) | − | 22.6863i | − | 0.936363i | −0.883632 | − | 0.468182i | \(-0.844909\pi\) | ||
0.883632 | − | 0.468182i | \(-0.155091\pi\) | |||||||
\(588\) | 19.6913 | − | 19.6913i | 0.812055 | − | 0.812055i | ||||
\(589\) | 11.0866 | − | 11.0866i | 0.456814 | − | 0.456814i | ||||
\(590\) | −3.24718 | − | 3.24718i | −0.133684 | − | 0.133684i | ||||
\(591\) | −38.9706 | −1.60303 | ||||||||
\(592\) | −8.11794 | − | 8.11794i | −0.333645 | − | 0.333645i | ||||
\(593\) | − | 27.0711i | − | 1.11168i | −0.831291 | − | 0.555838i | \(-0.812398\pi\) | ||
0.831291 | − | 0.555838i | \(-0.187602\pi\) | |||||||
\(594\) | 0.970563 | 0.0398227 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −31.0294 | −1.27102 | ||||||||
\(597\) | − | 4.48528i | − | 0.183570i | ||||||
\(598\) | 1.71644 | + | 1.71644i | 0.0701906 | + | 0.0701906i | ||||
\(599\) | −34.6274 | −1.41484 | −0.707419 | − | 0.706794i | \(-0.750141\pi\) | ||||
−0.707419 | + | 0.706794i | \(0.750141\pi\) | |||||||
\(600\) | −4.64659 | − | 4.64659i | −0.189696 | − | 0.189696i | ||||
\(601\) | −14.3722 | + | 14.3722i | −0.586254 | + | 0.586254i | −0.936615 | − | 0.350361i | \(-0.886059\pi\) |
0.350361 | + | 0.936615i | \(0.386059\pi\) | |||||||
\(602\) | 1.53073 | − | 1.53073i | 0.0623880 | − | 0.0623880i | ||||
\(603\) | − | 26.1421i | − | 1.06459i | ||||||
\(604\) | − | 23.4558i | − | 0.954405i | ||||||
\(605\) | −12.8415 | + | 12.8415i | −0.522080 | + | 0.522080i | ||||
\(606\) | 10.2668 | − | 10.2668i | 0.417060 | − | 0.417060i | ||||
\(607\) | 24.2835 | + | 24.2835i | 0.985637 | + | 0.985637i | 0.999898 | − | 0.0142614i | \(-0.00453971\pi\) |
−0.0142614 | + | 0.999898i | \(0.504540\pi\) | |||||||
\(608\) | 21.3137 | 0.864385 | ||||||||
\(609\) | −8.92177 | − | 8.92177i | −0.361528 | − | 0.361528i | ||||
\(610\) | − | 7.07107i | − | 0.286299i | ||||||
\(611\) | −15.3137 | −0.619526 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.3137 | −0.699294 | −0.349647 | − | 0.936881i | \(-0.613698\pi\) | ||||
−0.349647 | + | 0.936881i | \(0.613698\pi\) | |||||||
\(614\) | 0.887302i | 0.0358086i | ||||||||
\(615\) | 27.8477 | + | 27.8477i | 1.12293 | + | 1.12293i | ||||
\(616\) | 1.85786 | 0.0748555 | ||||||||
\(617\) | −2.38896 | − | 2.38896i | −0.0961757 | − | 0.0961757i | 0.657382 | − | 0.753558i | \(-0.271664\pi\) |
−0.753558 | + | 0.657382i | \(0.771664\pi\) | |||||||
\(618\) | −3.43289 | + | 3.43289i | −0.138091 | + | 0.138091i | ||||
\(619\) | 6.81138 | − | 6.81138i | 0.273772 | − | 0.273772i | −0.556844 | − | 0.830617i | \(-0.687988\pi\) |
0.830617 | + | 0.556844i | \(0.187988\pi\) | |||||||
\(620\) | 10.9706i | 0.440588i | ||||||||
\(621\) | − | 8.97056i | − | 0.359976i | ||||||
\(622\) | 1.32249 | − | 1.32249i | 0.0530272 | − | 0.0530272i | ||||
\(623\) | −7.20533 | + | 7.20533i | −0.288675 | + | 0.288675i | ||||
\(624\) | −7.83938 | − | 7.83938i | −0.313826 | − | 0.313826i | ||||
\(625\) | 14.5563 | 0.582254 | ||||||||
\(626\) | −3.73398 | − | 3.73398i | −0.149240 | − | 0.149240i | ||||
\(627\) | 13.6569i | 0.545402i | ||||||||
\(628\) | −3.02944 | −0.120888 | ||||||||
\(629\) | 0 | 0 | ||||||||
\(630\) | −3.17157 | −0.126358 | ||||||||
\(631\) | − | 6.68629i | − | 0.266177i | −0.991104 | − | 0.133089i | \(-0.957511\pi\) | ||
0.991104 | − | 0.133089i | \(-0.0424895\pi\) | |||||||
\(632\) | 4.64659 | + | 4.64659i | 0.184832 | + | 0.184832i | ||||
\(633\) | −39.1127 | −1.55459 | ||||||||
\(634\) | 1.70051 | + | 1.70051i | 0.0675359 | + | 0.0675359i | ||||
\(635\) | −22.6215 | + | 22.6215i | −0.897705 | + | 0.897705i | ||||
\(636\) | 4.77791 | − | 4.77791i | 0.189456 | − | 0.189456i | ||||
\(637\) | 8.24264i | 0.326585i | ||||||||
\(638\) | 2.00000i | 0.0791808i | ||||||||
\(639\) | −35.3701 | + | 35.3701i | −1.39922 | + | 1.39922i | ||||
\(640\) | −13.7925 | + | 13.7925i | −0.545198 | + | 0.545198i | ||||
\(641\) | 10.5998 | + | 10.5998i | 0.418665 | + | 0.418665i | 0.884743 | − | 0.466078i | \(-0.154334\pi\) |
−0.466078 | + | 0.884743i | \(0.654334\pi\) | |||||||
\(642\) | −6.82843 | −0.269497 | ||||||||
\(643\) | 28.3504 | + | 28.3504i | 1.11803 | + | 1.11803i | 0.992030 | + | 0.126002i | \(0.0402146\pi\) |
0.126002 | + | 0.992030i | \(0.459785\pi\) | |||||||
\(644\) | − | 8.20101i | − | 0.323165i | ||||||
\(645\) | −23.3137 | −0.917976 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.82843 | 0.111197 | 0.0555985 | − | 0.998453i | \(-0.482293\pi\) | ||||
0.0555985 | + | 0.998453i | \(0.482293\pi\) | |||||||
\(648\) | 9.24264i | 0.363085i | ||||||||
\(649\) | 4.59220 | + | 4.59220i | 0.180260 | + | 0.180260i | ||||
\(650\) | 0.928932 | 0.0364357 | ||||||||
\(651\) | −6.49435 | − | 6.49435i | −0.254534 | − | 0.254534i | ||||
\(652\) | 7.33664 | − | 7.33664i | 0.287325 | − | 0.287325i | ||||
\(653\) | −12.5244 | + | 12.5244i | −0.490119 | + | 0.490119i | −0.908344 | − | 0.418225i | \(-0.862652\pi\) |
0.418225 | + | 0.908344i | \(0.362652\pi\) | |||||||
\(654\) | − | 4.62742i | − | 0.180946i | ||||||
\(655\) | − | 0.343146i | − | 0.0134078i | ||||||
\(656\) | −17.3023 | + | 17.3023i | −0.675543 | + | 0.675543i | ||||
\(657\) | 14.5035 | − | 14.5035i | 0.565836 | − | 0.565836i | ||||
\(658\) | −3.43289 | − | 3.43289i | −0.133828 | − | 0.133828i | ||||
\(659\) | −8.48528 | −0.330540 | −0.165270 | − | 0.986248i | \(-0.552849\pi\) | ||||
−0.165270 | + | 0.986248i | \(0.552849\pi\) | |||||||
\(660\) | −6.75699 | − | 6.75699i | −0.263015 | − | 0.263015i | ||||
\(661\) | 41.2132i | 1.60301i | 0.597990 | + | 0.801504i | \(0.295966\pi\) | ||||
−0.597990 | + | 0.801504i | \(0.704034\pi\) | |||||||
\(662\) | −7.37258 | −0.286544 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.544156 | 0.0211173 | ||||||||
\(665\) | − | 9.65685i | − | 0.374477i | ||||||
\(666\) | 4.29111 | + | 4.29111i | 0.166277 | + | 0.166277i | ||||
\(667\) | 18.4853 | 0.715753 | ||||||||
\(668\) | −12.9343 | − | 12.9343i | −0.500444 | − | 0.500444i | ||||
\(669\) | −1.53073 | + | 1.53073i | −0.0591816 | + | 0.0591816i | ||||
\(670\) | 3.69552 | − | 3.69552i | 0.142770 | − | 0.142770i | ||||
\(671\) | 10.0000i | 0.386046i | ||||||||
\(672\) | − | 12.4853i | − | 0.481630i | ||||||
\(673\) | 0.224171 | − | 0.224171i | 0.00864115 | − | 0.00864115i | −0.702773 | − | 0.711414i | \(-0.748055\pi\) |
0.711414 | + | 0.702773i | \(0.248055\pi\) | |||||||
\(674\) | −10.0970 | + | 10.0970i | −0.388923 | + | 0.388923i | ||||
\(675\) | −2.42742 | − | 2.42742i | −0.0934313 | − | 0.0934313i | ||||
\(676\) | −20.1127 | −0.773565 | ||||||||
\(677\) | −31.0564 | − | 31.0564i | −1.19360 | − | 1.19360i | −0.976050 | − | 0.217545i | \(-0.930195\pi\) |
−0.217545 | − | 0.976050i | \(-0.569805\pi\) | |||||||
\(678\) | 17.5147i | 0.672649i | ||||||||
\(679\) | −6.97056 | −0.267506 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 13.1716 | 0.504736 | ||||||||
\(682\) | 1.45584i | 0.0557472i | ||||||||
\(683\) | −22.1187 | − | 22.1187i | −0.846349 | − | 0.846349i | 0.143326 | − | 0.989675i | \(-0.454220\pi\) |
−0.989675 | + | 0.143326i | \(0.954220\pi\) | |||||||
\(684\) | 33.7990 | 1.29234 | ||||||||
\(685\) | 11.4036 | + | 11.4036i | 0.435708 | + | 0.435708i | ||||
\(686\) | −4.06694 | + | 4.06694i | −0.155276 | + | 0.155276i | ||||
\(687\) | −42.1814 | + | 42.1814i | −1.60932 | + | 1.60932i | ||||
\(688\) | − | 14.4853i | − | 0.552246i | ||||||
\(689\) | 2.00000i | 0.0761939i | ||||||||
\(690\) | 5.86030 | − | 5.86030i | 0.223098 | − | 0.223098i | ||||
\(691\) | −28.7988 | + | 28.7988i | −1.09556 | + | 1.09556i | −0.100634 | + | 0.994924i | \(0.532087\pi\) |
−0.994924 | + | 0.100634i | \(0.967913\pi\) | |||||||
\(692\) | −4.36803 | − | 4.36803i | −0.166048 | − | 0.166048i | ||||
\(693\) | 4.48528 | 0.170382 | ||||||||
\(694\) | −1.13679 | − | 1.13679i | −0.0431518 | − | 0.0431518i | ||||
\(695\) | − | 27.6569i | − | 1.04908i | ||||||
\(696\) | 18.4853 | 0.700683 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −1.75736 | −0.0665170 | ||||||||
\(699\) | 26.4853i | 1.00177i | ||||||||
\(700\) | −2.21918 | − | 2.21918i | −0.0838770 | − | 0.0838770i | ||||
\(701\) | 21.6985 | 0.819540 | 0.409770 | − | 0.912189i | \(-0.365609\pi\) | ||||
0.409770 | + | 0.912189i | \(0.365609\pi\) | |||||||
\(702\) | 0.896683 | + | 0.896683i | 0.0338431 | + | 0.0338431i | ||||
\(703\) | −13.0656 | + | 13.0656i | −0.492780 | + | 0.492780i | ||||
\(704\) | 3.19278 | − | 3.19278i | 0.120333 | − | 0.120333i | ||||
\(705\) | 52.2843i | 1.96914i | ||||||||
\(706\) | 5.79899i | 0.218248i | ||||||||
\(707\) | 10.2668 | − | 10.2668i | 0.386123 | − | 0.386123i | ||||
\(708\) | 20.2710 | − | 20.2710i | 0.761829 | − | 0.761829i | ||||
\(709\) | 8.19486 | + | 8.19486i | 0.307765 | + | 0.307765i | 0.844042 | − | 0.536277i | \(-0.180170\pi\) |
−0.536277 | + | 0.844042i | \(0.680170\pi\) | |||||||
\(710\) | −10.0000 | −0.375293 | ||||||||
\(711\) | 11.2179 | + | 11.2179i | 0.420703 | + | 0.420703i | ||||
\(712\) | − | 14.9289i | − | 0.559485i | ||||||
\(713\) | 13.4558 | 0.503925 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.82843 | 0.105777 | ||||||||
\(716\) | 10.9706i | 0.409989i | ||||||||
\(717\) | −16.9469 | − | 16.9469i | −0.632892 | − | 0.632892i | ||||
\(718\) | 9.59798 | 0.358193 | ||||||||
\(719\) | 9.94977 | + | 9.94977i | 0.371064 | + | 0.371064i | 0.867865 | − | 0.496801i | \(-0.165492\pi\) |
−0.496801 | + | 0.867865i | \(0.665492\pi\) | |||||||
\(720\) | −15.0062 | + | 15.0062i | −0.559250 | + | 0.559250i | ||||
\(721\) | −3.43289 | + | 3.43289i | −0.127847 | + | 0.127847i | ||||
\(722\) | − | 1.78680i | − | 0.0664977i | ||||||
\(723\) | − | 32.1421i | − | 1.19538i | ||||||
\(724\) | 16.1430 | − | 16.1430i | 0.599951 | − | 0.599951i | ||||
\(725\) | 5.00208 | − | 5.00208i | 0.185773 | − | 0.185773i | ||||
\(726\) | 7.52235 | + | 7.52235i | 0.279181 | + | 0.279181i | ||||
\(727\) | −19.1127 | −0.708851 | −0.354425 | − | 0.935084i | \(-0.615324\pi\) | ||||
−0.354425 | + | 0.935084i | \(0.615324\pi\) | |||||||
\(728\) | 1.71644 | + | 1.71644i | 0.0636156 | + | 0.0636156i | ||||
\(729\) | 39.2843i | 1.45497i | ||||||||
\(730\) | 4.10051 | 0.151767 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 44.1421 | 1.63154 | ||||||||
\(733\) | 12.0416i | 0.444768i | 0.974959 | + | 0.222384i | \(0.0713838\pi\) | ||||
−0.974959 | + | 0.222384i | \(0.928616\pi\) | |||||||
\(734\) | −7.70806 | − | 7.70806i | −0.284510 | − | 0.284510i | ||||
\(735\) | 28.1421 | 1.03804 | ||||||||
\(736\) | 12.9343 | + | 12.9343i | 0.476765 | + | 0.476765i | ||||
\(737\) | −5.22625 | + | 5.22625i | −0.192511 | + | 0.192511i | ||||
\(738\) | 9.14594 | − | 9.14594i | 0.336667 | − | 0.336667i | ||||
\(739\) | − | 34.2843i | − | 1.26117i | −0.776121 | − | 0.630584i | \(-0.782816\pi\) | ||
0.776121 | − | 0.630584i | \(-0.217184\pi\) | |||||||
\(740\) | − | 12.9289i | − | 0.475277i | ||||||
\(741\) | −12.6173 | + | 12.6173i | −0.463508 | + | 0.463508i | ||||
\(742\) | −0.448342 | + | 0.448342i | −0.0164591 | + | 0.0164591i | ||||
\(743\) | −34.8448 | − | 34.8448i | −1.27833 | − | 1.27833i | −0.941601 | − | 0.336730i | \(-0.890679\pi\) |
−0.336730 | − | 0.941601i | \(-0.609321\pi\) | |||||||
\(744\) | 13.4558 | 0.493315 | ||||||||
\(745\) | −22.1731 | − | 22.1731i | −0.812360 | − | 0.812360i | ||||
\(746\) | 8.10051i | 0.296581i | ||||||||
\(747\) | 1.31371 | 0.0480661 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −6.82843 | −0.249505 | ||||||||
\(750\) | − | 13.1716i | − | 0.480958i | ||||||
\(751\) | −18.5320 | − | 18.5320i | −0.676242 | − | 0.676242i | 0.282906 | − | 0.959148i | \(-0.408702\pi\) |
−0.959148 | + | 0.282906i | \(0.908702\pi\) | |||||||
\(752\) | −32.4853 | −1.18462 | ||||||||
\(753\) | 6.49435 | + | 6.49435i | 0.236667 | + | 0.236667i | ||||
\(754\) | −1.84776 | + | 1.84776i | −0.0672914 | + | 0.0672914i | ||||
\(755\) | 16.7611 | − | 16.7611i | 0.610001 | − | 0.610001i | ||||
\(756\) | − | 4.28427i | − | 0.155817i | ||||||
\(757\) | 53.4558i | 1.94289i | 0.237274 | + | 0.971443i | \(0.423746\pi\) | ||||
−0.237274 | + | 0.971443i | \(0.576254\pi\) | |||||||
\(758\) | −0.317025 | + | 0.317025i | −0.0115149 | + | 0.0115149i | ||||
\(759\) | −8.28772 | + | 8.28772i | −0.300825 | + | 0.300825i | ||||
\(760\) | 10.0042 | + | 10.0042i | 0.362889 | + | 0.362889i | ||||
\(761\) | 21.6985 | 0.786569 | 0.393285 | − | 0.919417i | \(-0.371339\pi\) | ||||
0.393285 | + | 0.919417i | \(0.371339\pi\) | |||||||
\(762\) | 13.2513 | + | 13.2513i | 0.480045 | + | 0.480045i | ||||
\(763\) | − | 4.62742i | − | 0.167524i | ||||||
\(764\) | −36.5685 | −1.32300 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.28427 | −0.0825341 | ||||||||
\(767\) | 8.48528i | 0.306386i | ||||||||
\(768\) | −7.33664 | − | 7.33664i | −0.264738 | − | 0.264738i | ||||
\(769\) | 12.7279 | 0.458981 | 0.229490 | − | 0.973311i | \(-0.426294\pi\) | ||||
0.229490 | + | 0.973311i | \(0.426294\pi\) | |||||||
\(770\) | 0.634051 | + | 0.634051i | 0.0228496 | + | 0.0228496i | ||||
\(771\) | 40.9133 | − | 40.9133i | 1.47346 | − | 1.47346i | ||||
\(772\) | 7.16687 | − | 7.16687i | 0.257941 | − | 0.257941i | ||||
\(773\) | 4.82843i | 0.173666i | 0.996223 | + | 0.0868332i | \(0.0276747\pi\) | ||||
−0.996223 | + | 0.0868332i | \(0.972325\pi\) | |||||||
\(774\) | 7.65685i | 0.275220i | ||||||||
\(775\) | 3.64113 | − | 3.64113i | 0.130793 | − | 0.130793i | ||||
\(776\) | 7.22126 | − | 7.22126i | 0.259228 | − | 0.259228i | ||||
\(777\) | 7.65367 | + | 7.65367i | 0.274574 | + | 0.274574i | ||||
\(778\) | 6.68629 | 0.239715 | ||||||||
\(779\) | 27.8477 | + | 27.8477i | 0.997747 | + | 0.997747i | ||||
\(780\) | − | 12.4853i | − | 0.447045i | ||||||
\(781\) | 14.1421 | 0.506045 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 9.65685 | 0.345108 | ||||||||
\(784\) | 17.4853i | 0.624474i | ||||||||
\(785\) | −2.16478 | − | 2.16478i | −0.0772645 | − | 0.0772645i | ||||
\(786\) | −0.201010 | −0.00716979 | ||||||||
\(787\) | −35.1074 | − | 35.1074i | −1.25144 | − | 1.25144i | −0.955073 | − | 0.296372i | \(-0.904223\pi\) |
−0.296372 | − | 0.955073i | \(-0.595777\pi\) | |||||||
\(788\) | 19.2814 | − | 19.2814i | 0.686872 | − | 0.686872i | ||||
\(789\) | 11.9832 | − | 11.9832i | 0.426615 | − | 0.426615i | ||||
\(790\) | 3.17157i | 0.112839i | ||||||||
\(791\) | 17.5147i | 0.622752i | ||||||||
\(792\) | −4.64659 | + | 4.64659i | −0.165110 | + | 0.165110i | ||||
\(793\) | −9.23880 | + | 9.23880i | −0.328079 | + | 0.328079i | ||||
\(794\) | 7.98663 | + | 7.98663i | 0.283435 | + | 0.283435i | ||||
\(795\) | 6.82843 | 0.242179 | ||||||||
\(796\) | 2.21918 | + | 2.21918i | 0.0786567 | + | 0.0786567i | ||||
\(797\) | − | 17.2132i | − | 0.609723i | −0.952397 | − | 0.304861i | \(-0.901390\pi\) | ||
0.952397 | − | 0.304861i | \(-0.0986102\pi\) | |||||||
\(798\) | −5.65685 | −0.200250 | ||||||||
\(799\) | 0 | 0 | ||||||||
\(800\) | 7.00000 | 0.247487 | ||||||||
\(801\) | − | 36.0416i | − | 1.27347i | ||||||
\(802\) | −5.00208 | − | 5.00208i | −0.176630 | − | 0.176630i | ||||
\(803\) | −5.79899 | −0.204642 | ||||||||
\(804\) | 23.0698 | + | 23.0698i | 0.813609 | + | 0.813609i | ||||
\(805\) | 5.86030 | − | 5.86030i | 0.206549 | − | 0.206549i | ||||
\(806\) | −1.34502 | + | 1.34502i | −0.0473765 | + | 0.0473765i | ||||
\(807\) | 16.6274i | 0.585313i | ||||||||
\(808\) | 21.2721i | 0.748349i | ||||||||
\(809\) | 21.0523 | − | 21.0523i | 0.740158 | − | 0.740158i | −0.232450 | − | 0.972608i | \(-0.574674\pi\) |
0.972608 | + | 0.232450i | \(0.0746743\pi\) | |||||||
\(810\) | −3.15432 | + | 3.15432i | −0.110832 | + | 0.110832i | ||||
\(811\) | −31.3031 | − | 31.3031i | −1.09920 | − | 1.09920i | −0.994504 | − | 0.104697i | \(-0.966613\pi\) |
−0.104697 | − | 0.994504i | \(-0.533387\pi\) | |||||||
\(812\) | 8.82843 | 0.309817 | ||||||||
\(813\) | −11.3492 | − | 11.3492i | −0.398033 | − | 0.398033i | ||||
\(814\) | − | 1.71573i | − | 0.0601363i | ||||||
\(815\) | 10.4853 | 0.367283 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −23.3137 | −0.815643 | ||||||||
\(818\) | 8.00000i | 0.279713i | ||||||||
\(819\) | 4.14386 | + | 4.14386i | 0.144798 | + | 0.144798i | ||||
\(820\) | −27.5563 | −0.962309 | ||||||||
\(821\) | −10.1739 | − | 10.1739i | −0.355073 | − | 0.355073i | 0.506920 | − | 0.861993i | \(-0.330784\pi\) |
−0.861993 | + | 0.506920i | \(0.830784\pi\) | |||||||
\(822\) | 6.68006 | − | 6.68006i | 0.232994 | − | 0.232994i | ||||
\(823\) | 16.6298 | − | 16.6298i | 0.579679 | − | 0.579679i | −0.355135 | − | 0.934815i | \(-0.615565\pi\) |
0.934815 | + | 0.355135i | \(0.115565\pi\) | |||||||
\(824\) | − | 7.11270i | − | 0.247783i | ||||||
\(825\) | 4.48528i | 0.156157i | ||||||||
\(826\) | −1.90215 | + | 1.90215i | −0.0661843 | + | 0.0661843i | ||||
\(827\) | 24.5461 | − | 24.5461i | 0.853553 | − | 0.853553i | −0.137016 | − | 0.990569i | \(-0.543751\pi\) |
0.990569 | + | 0.137016i | \(0.0437512\pi\) | |||||||
\(828\) | 20.5111 | + | 20.5111i | 0.712809 | + | 0.712809i | ||||
\(829\) | 13.9411 | 0.484195 | 0.242098 | − | 0.970252i | \(-0.422165\pi\) | ||||
0.242098 | + | 0.970252i | \(0.422165\pi\) | |||||||
\(830\) | 0.185709 | + | 0.185709i | 0.00644606 | + | 0.00644606i | ||||
\(831\) | − | 57.5980i | − | 1.99805i | ||||||
\(832\) | 5.89949 | 0.204528 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −16.2010 | −0.560995 | ||||||||
\(835\) | − | 18.4853i | − | 0.639710i | ||||||
\(836\) | −6.75699 | − | 6.75699i | −0.233695 | − | 0.233695i | ||||
\(837\) | 7.02944 | 0.242973 | ||||||||
\(838\) | 7.89377 | + | 7.89377i | 0.272686 | + | 0.272686i | ||||
\(839\) | −2.74444 | + | 2.74444i | −0.0947487 | + | 0.0947487i | −0.752892 | − | 0.658144i | \(-0.771342\pi\) |
0.658144 | + | 0.752892i | \(0.271342\pi\) | |||||||
\(840\) | 5.86030 | − | 5.86030i | 0.202200 | − | 0.202200i | ||||
\(841\) | − | 9.10051i | − | 0.313811i | ||||||
\(842\) | − | 7.21320i | − | 0.248583i | ||||||
\(843\) | −33.0740 | + | 33.0740i | −1.13913 | + | 1.13913i | ||||
\(844\) | 19.3517 | − | 19.3517i | 0.666114 | − | 0.666114i | ||||
\(845\) | −14.3722 | − | 14.3722i | −0.494418 | − | 0.494418i | ||||
\(846\) | 17.1716 | 0.590371 | ||||||||
\(847\) | 7.52235 | + | 7.52235i | 0.258471 | + | 0.258471i | ||||
\(848\) | 4.24264i | 0.145693i | ||||||||
\(849\) | 59.7990 | 2.05230 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −15.8579 | −0.543601 | ||||||||
\(852\) | − | 62.4264i | − | 2.13869i | ||||||
\(853\) | 30.1053 | + | 30.1053i | 1.03079 | + | 1.03079i | 0.999511 | + | 0.0312765i | \(0.00995724\pi\) |
0.0312765 | + | 0.999511i | \(0.490043\pi\) | |||||||
\(854\) | −4.14214 | −0.141741 | ||||||||
\(855\) | 24.1522 | + | 24.1522i | 0.825987 | + | 0.825987i | ||||
\(856\) | 7.07401 | − | 7.07401i | 0.241785 | − | 0.241785i | ||||
\(857\) | −2.70598 | + | 2.70598i | −0.0924345 | + | 0.0924345i | −0.751812 | − | 0.659377i | \(-0.770820\pi\) |
0.659377 | + | 0.751812i | \(0.270820\pi\) | |||||||
\(858\) | − | 1.65685i | − | 0.0565641i | ||||||
\(859\) | − | 1.02944i | − | 0.0351239i | −0.999846 | − | 0.0175620i | \(-0.994410\pi\) | ||
0.999846 | − | 0.0175620i | \(-0.00559044\pi\) | |||||||
\(860\) | 11.5349 | − | 11.5349i | 0.393337 | − | 0.393337i | ||||
\(861\) | 16.3128 | − | 16.3128i | 0.555939 | − | 0.555939i | ||||
\(862\) | −11.6662 | − | 11.6662i | −0.397353 | − | 0.397353i | ||||
\(863\) | −34.6274 | −1.17873 | −0.589365 | − | 0.807867i | \(-0.700622\pi\) | ||||
−0.589365 | + | 0.807867i | \(0.700622\pi\) | |||||||
\(864\) | 6.75699 | + | 6.75699i | 0.229877 | + | 0.229877i | ||||
\(865\) | − | 6.24264i | − | 0.212256i | ||||||
\(866\) | −6.28427 | −0.213548 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 6.42641 | 0.218126 | ||||||||
\(869\) | − | 4.48528i | − | 0.152153i | ||||||
\(870\) | 6.30864 | + | 6.30864i | 0.213883 | + | 0.213883i | ||||
\(871\) | −9.65685 | −0.327210 | ||||||||
\(872\) | 4.79384 | + | 4.79384i | 0.162340 | + | 0.162340i | ||||
\(873\) | 17.4337 | − | 17.4337i | 0.590040 | − | 0.590040i | ||||
\(874\) | 5.86030 | − | 5.86030i | 0.198228 | − | 0.198228i | ||||
\(875\) | − | 13.1716i | − | 0.445280i | ||||||
\(876\) | 25.5980i | 0.864876i | ||||||||
\(877\) | 26.6181 | − | 26.6181i | 0.898828 | − | 0.898828i | −0.0965044 | − | 0.995333i | \(-0.530766\pi\) |
0.995333 | + | 0.0965044i | \(0.0307662\pi\) | |||||||
\(878\) | 3.19278 | − | 3.19278i | 0.107751 | − | 0.107751i | ||||
\(879\) | −43.7122 | − | 43.7122i | −1.47437 | − | 1.47437i | ||||
\(880\) | 6.00000 | 0.202260 | ||||||||
\(881\) | −13.1041 | − | 13.1041i | −0.441488 | − | 0.441488i | 0.451024 | − | 0.892512i | \(-0.351059\pi\) |
−0.892512 | + | 0.451024i | \(0.851059\pi\) | |||||||
\(882\) | − | 9.24264i | − | 0.311216i | ||||||
\(883\) | −8.00000 | −0.269221 | −0.134611 | − | 0.990899i | \(-0.542978\pi\) | ||||
−0.134611 | + | 0.990899i | \(0.542978\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 28.9706 | 0.973835 | ||||||||
\(886\) | 6.54416i | 0.219855i | ||||||||
\(887\) | 34.5503 | + | 34.5503i | 1.16009 | + | 1.16009i | 0.984456 | + | 0.175629i | \(0.0561959\pi\) |
0.175629 | + | 0.984456i | \(0.443804\pi\) | |||||||
\(888\) | −15.8579 | −0.532155 | ||||||||
\(889\) | 13.2513 | + | 13.2513i | 0.444436 | + | 0.444436i | ||||
\(890\) | 5.09494 | − | 5.09494i | 0.170783 | − | 0.170783i | ||||
\(891\) | 4.46088 | − | 4.46088i | 0.149445 | − | 0.149445i | ||||
\(892\) | − | 1.51472i | − | 0.0507165i | ||||||
\(893\) | 52.2843i | 1.74963i | ||||||||
\(894\) | −12.9887 | + | 12.9887i | −0.434407 | + | 0.434407i | ||||
\(895\) | −7.83938 | + | 7.83938i | −0.262041 | + | 0.262041i | ||||
\(896\) | 8.07948 | + | 8.07948i | 0.269916 | + | 0.269916i | ||||
\(897\) | −15.3137 | −0.511310 | ||||||||
\(898\) | −5.50482 | − | 5.50482i | −0.183698 | − | 0.183698i | ||||
\(899\) | 14.4853i | 0.483111i | ||||||||
\(900\) | 11.1005 | 0.370017 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | −3.65685 | −0.121760 | ||||||||
\(903\) | 13.6569i | 0.454472i | ||||||||
\(904\) | −18.1446 | − | 18.1446i | −0.603482 | − | 0.603482i | ||||
\(905\) | 23.0711 | 0.766908 | ||||||||
\(906\) | −9.81845 | − | 9.81845i | −0.326196 | − | 0.326196i | ||||
\(907\) | −17.7122 | + | 17.7122i | −0.588125 | + | 0.588125i | −0.937123 | − | 0.348999i | \(-0.886522\pi\) |
0.348999 | + | 0.937123i | \(0.386522\pi\) | |||||||
\(908\) | −6.51688 | + | 6.51688i | −0.216270 | + | 0.216270i | ||||
\(909\) | 51.3553i | 1.70335i | ||||||||
\(910\) | 1.17157i | 0.0388373i | ||||||||
\(911\) | 5.99162 | − | 5.99162i | 0.198511 | − | 0.198511i | −0.600850 | − | 0.799362i | \(-0.705171\pi\) |
0.799362 | + | 0.600850i | \(0.205171\pi\) | |||||||
\(912\) | −26.7653 | + | 26.7653i | −0.886288 | + | 0.886288i | ||||
\(913\) | −0.262632 | − | 0.262632i | −0.00869186 | − | 0.00869186i | ||||
\(914\) | 7.79899 | 0.257968 | ||||||||
\(915\) | 31.5432 | + | 31.5432i | 1.04279 | + | 1.04279i | ||||
\(916\) | − | 41.7401i | − | 1.37913i | ||||||
\(917\) | −0.201010 | −0.00663794 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −3.31371 | −0.109309 | −0.0546546 | − | 0.998505i | \(-0.517406\pi\) | ||||
−0.0546546 | + | 0.998505i | \(0.517406\pi\) | |||||||
\(920\) | 12.1421i | 0.400314i | ||||||||
\(921\) | −3.95815 | − | 3.95815i | −0.130425 | − | 0.130425i | ||||
\(922\) | 9.95837 | 0.327961 | ||||||||
\(923\) | 13.0656 | + | 13.0656i | 0.430060 | + | 0.430060i | ||||
\(924\) | −3.95815 | + | 3.95815i | −0.130214 | + | 0.130214i | ||||
\(925\) | −4.29111 | + | 4.29111i | −0.141091 | + | 0.141091i | ||||
\(926\) | 12.6863i | 0.416897i | ||||||||
\(927\) | − | 17.1716i | − | 0.563988i | ||||||
\(928\) | −13.9239 | + | 13.9239i | −0.457073 | + | 0.457073i | ||||
\(929\) | −14.8205 | + | 14.8205i | −0.486246 | + | 0.486246i | −0.907119 | − | 0.420873i | \(-0.861724\pi\) |
0.420873 | + | 0.907119i | \(0.361724\pi\) | |||||||
\(930\) | 4.59220 | + | 4.59220i | 0.150584 | + | 0.150584i | ||||
\(931\) | 28.1421 | 0.922321 | ||||||||
\(932\) | −13.1041 | − | 13.1041i | −0.429239 | − | 0.429239i | ||||
\(933\) | 11.7990i | 0.386282i | ||||||||
\(934\) | 5.23045 | 0.171145 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −8.58579 | −0.280635 | ||||||||
\(937\) | − | 3.55635i | − | 0.116181i | −0.998311 | − | 0.0580904i | \(-0.981499\pi\) | ||
0.998311 | − | 0.0580904i | \(-0.0185012\pi\) | |||||||
\(938\) | −2.16478 | − | 2.16478i | −0.0706827 | − | 0.0706827i | ||||
\(939\) | 33.3137 | 1.08715 | ||||||||
\(940\) | −25.8686 | − | 25.8686i | −0.843742 | − | 0.843742i | ||||
\(941\) | 13.2129 | − | 13.2129i | 0.430727 | − | 0.430727i | −0.458148 | − | 0.888876i | \(-0.651487\pi\) |
0.888876 | + | 0.458148i | \(0.151487\pi\) | |||||||
\(942\) | −1.26810 | + | 1.26810i | −0.0413170 | + | 0.0413170i | ||||
\(943\) | 33.7990i | 1.10065i | ||||||||
\(944\) | 18.0000i | 0.585850i | ||||||||
\(945\) | 3.06147 | − | 3.06147i | 0.0995895 | − | 0.0995895i | ||||
\(946\) | 1.53073 | − | 1.53073i | 0.0497684 | − | 0.0497684i | ||||
\(947\) | −10.5069 | − | 10.5069i | −0.341428 | − | 0.341428i | 0.515476 | − | 0.856904i | \(-0.327615\pi\) |
−0.856904 | + | 0.515476i | \(0.827615\pi\) | |||||||
\(948\) | −19.7990 | −0.643041 | ||||||||
\(949\) | −5.35757 | − | 5.35757i | −0.173914 | − | 0.173914i | ||||
\(950\) | − | 3.17157i | − | 0.102899i | ||||||
\(951\) | −15.1716 | −0.491972 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −9.69848 | −0.314165 | −0.157082 | − | 0.987586i | \(-0.550209\pi\) | ||||
−0.157082 | + | 0.987586i | \(0.550209\pi\) | |||||||
\(954\) | − | 2.24264i | − | 0.0726082i | ||||||
\(955\) | −26.1313 | − | 26.1313i | −0.845588 | − | 0.845588i | ||||
\(956\) | 16.7696 | 0.542366 | ||||||||
\(957\) | −8.92177 | − | 8.92177i | −0.288400 | − | 0.288400i | ||||
\(958\) | 10.1355 | − | 10.1355i | 0.327462 | − | 0.327462i | ||||
\(959\) | 6.68006 | − | 6.68006i | 0.215710 | − | 0.215710i | ||||
\(960\) | − | 20.1421i | − | 0.650085i | ||||||
\(961\) | − | 20.4558i | − | 0.659866i | ||||||
\(962\) | 1.58513 | − | 1.58513i | 0.0511065 | − | 0.0511065i | ||||
\(963\) | 17.0782 | − | 17.0782i | 0.550336 | − | 0.550336i | ||||
\(964\) | 15.9029 | + | 15.9029i | 0.512199 | + | 0.512199i | ||||
\(965\) | 10.2426 | 0.329722 | ||||||||
\(966\) | −3.43289 | − | 3.43289i | −0.110451 | − | 0.110451i | ||||
\(967\) | 32.3431i | 1.04009i | 0.854140 | + | 0.520043i | \(0.174084\pi\) | ||||
−0.854140 | + | 0.520043i | \(0.825916\pi\) | |||||||
\(968\) | −15.5858 | −0.500946 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.92893 | 0.158258 | ||||||||
\(971\) | 55.7401i | 1.78879i | 0.447283 | + | 0.894393i | \(0.352392\pi\) | ||||
−0.447283 | + | 0.894393i | \(0.647608\pi\) | |||||||
\(972\) | −28.0878 | − | 28.0878i | −0.900917 | − | 0.900917i | ||||
\(973\) | −16.2010 | −0.519381 | ||||||||
\(974\) | 1.29063 | + | 1.29063i | 0.0413545 | + | 0.0413545i | ||||
\(975\) | −4.14386 | + | 4.14386i | −0.132710 | + | 0.132710i | ||||
\(976\) | −19.5984 | + | 19.5984i | −0.627331 | + | 0.627331i | ||||
\(977\) | − | 1.61522i | − | 0.0516756i | −0.999666 | − | 0.0258378i | \(-0.991775\pi\) | ||
0.999666 | − | 0.0258378i | \(-0.00822534\pi\) | |||||||
\(978\) | − | 6.14214i | − | 0.196404i | ||||||
\(979\) | −7.20533 | + | 7.20533i | −0.230283 | + | 0.230283i | ||||
\(980\) | −13.9239 | + | 13.9239i | −0.444781 | + | 0.444781i | ||||
\(981\) | 11.5734 | + | 11.5734i | 0.369509 | + | 0.369509i | ||||
\(982\) | −10.4020 | −0.331942 | ||||||||
\(983\) | 16.6298 | + | 16.6298i | 0.530409 | + | 0.530409i | 0.920694 | − | 0.390285i | \(-0.127623\pi\) |
−0.390285 | + | 0.920694i | \(0.627623\pi\) | |||||||
\(984\) | 33.7990i | 1.07747i | ||||||||
\(985\) | 27.5563 | 0.878018 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 30.6274 | 0.974881 | ||||||||
\(988\) | − | 12.4853i | − | 0.397210i | ||||||
\(989\) | −14.1480 | − | 14.1480i | −0.449881 | − | 0.449881i | ||||
\(990\) | −3.17157 | −0.100799 | ||||||||
\(991\) | 22.6758 | + | 22.6758i | 0.720322 | + | 0.720322i | 0.968671 | − | 0.248349i | \(-0.0798879\pi\) |
−0.248349 | + | 0.968671i | \(0.579888\pi\) | |||||||
\(992\) | −10.1355 | + | 10.1355i | −0.321802 | + | 0.321802i | ||||
\(993\) | 32.8882 | − | 32.8882i | 1.04368 | − | 1.04368i | ||||
\(994\) | 5.85786i | 0.185800i | ||||||||
\(995\) | 3.17157i | 0.100546i | ||||||||
\(996\) | −1.15932 | + | 1.15932i | −0.0367343 | + | 0.0367343i | ||||
\(997\) | 5.45042 | − | 5.45042i | 0.172617 | − | 0.172617i | −0.615511 | − | 0.788128i | \(-0.711050\pi\) |
0.788128 | + | 0.615511i | \(0.211050\pi\) | |||||||
\(998\) | 10.8465 | + | 10.8465i | 0.343338 | + | 0.343338i | ||||
\(999\) | −8.28427 | −0.262103 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))