Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(53,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bf (of order \(8\), degree \(4\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 53.4 | ||
Character | \(\chi\) | \(=\) | 416.53 |
Dual form | 416.2.bf.a.157.4 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.34738 | + | 0.429614i | −0.952741 | + | 0.303783i | ||||
\(3\) | 2.33432 | − | 0.966908i | 1.34772 | − | 0.558244i | 0.412064 | − | 0.911155i | \(-0.364808\pi\) |
0.935657 | + | 0.352911i | \(0.114808\pi\) | |||||||
\(4\) | 1.63086 | − | 1.15771i | 0.815432 | − | 0.578853i | ||||
\(5\) | 1.29458 | − | 3.12540i | 0.578955 | − | 1.39772i | −0.314797 | − | 0.949159i | \(-0.601936\pi\) |
0.893752 | − | 0.448562i | \(-0.148064\pi\) | |||||||
\(6\) | −2.72982 | + | 2.30565i | −1.11444 | + | 0.941277i | ||||
\(7\) | −0.532783 | − | 0.532783i | −0.201373 | − | 0.201373i | 0.599215 | − | 0.800588i | \(-0.295479\pi\) |
−0.800588 | + | 0.599215i | \(0.795479\pi\) | |||||||
\(8\) | −1.70002 | + | 2.26051i | −0.601049 | + | 0.799212i | ||||
\(9\) | 2.39283 | − | 2.39283i | 0.797608 | − | 0.797608i | ||||
\(10\) | −0.401578 | + | 4.76727i | −0.126990 | + | 1.50754i | ||||
\(11\) | 2.30815 | + | 0.956066i | 0.695932 | + | 0.288265i | 0.702469 | − | 0.711714i | \(-0.252081\pi\) |
−0.00653700 | + | 0.999979i | \(0.502081\pi\) | |||||||
\(12\) | 2.68756 | − | 4.27935i | 0.775833 | − | 1.23534i | ||||
\(13\) | 0.382683 | + | 0.923880i | 0.106137 | + | 0.256238i | ||||
\(14\) | 0.946752 | + | 0.488970i | 0.253030 | + | 0.130683i | ||||
\(15\) | − | 8.54743i | − | 2.20694i | ||||||
\(16\) | 1.31943 | − | 3.77612i | 0.329857 | − | 0.944031i | ||||
\(17\) | 5.66131i | 1.37307i | 0.727097 | + | 0.686535i | \(0.240869\pi\) | ||||
−0.727097 | + | 0.686535i | \(0.759131\pi\) | |||||||
\(18\) | −2.19605 | + | 4.25204i | −0.517614 | + | 1.00221i | ||||
\(19\) | −1.48169 | − | 3.57711i | −0.339923 | − | 0.820646i | −0.997722 | − | 0.0674533i | \(-0.978513\pi\) |
0.657800 | − | 0.753193i | \(-0.271487\pi\) | |||||||
\(20\) | −1.50701 | − | 6.59585i | −0.336977 | − | 1.47488i | ||||
\(21\) | −1.75884 | − | 0.728534i | −0.383810 | − | 0.158979i | ||||
\(22\) | −3.52069 | − | 0.296571i | −0.750613 | − | 0.0632291i | ||||
\(23\) | −0.544539 | + | 0.544539i | −0.113544 | + | 0.113544i | −0.761596 | − | 0.648052i | \(-0.775584\pi\) |
0.648052 | + | 0.761596i | \(0.275584\pi\) | |||||||
\(24\) | −1.78270 | + | 6.92053i | −0.363891 | + | 1.41265i | ||||
\(25\) | −4.55664 | − | 4.55664i | −0.911329 | − | 0.911329i | ||||
\(26\) | −0.912532 | − | 1.08041i | −0.178962 | − | 0.211886i | ||||
\(27\) | 0.371260 | − | 0.896300i | 0.0714490 | − | 0.172493i | ||||
\(28\) | −1.48570 | − | 0.252090i | −0.280771 | − | 0.0476405i | ||||
\(29\) | −0.172321 | + | 0.0713778i | −0.0319993 | + | 0.0132545i | −0.398626 | − | 0.917114i | \(-0.630513\pi\) |
0.366626 | + | 0.930368i | \(0.380513\pi\) | |||||||
\(30\) | 3.67210 | + | 11.5166i | 0.670430 | + | 2.10264i | ||||
\(31\) | −9.48161 | −1.70295 | −0.851474 | − | 0.524397i | \(-0.824291\pi\) | ||||
−0.851474 | + | 0.524397i | \(0.824291\pi\) | |||||||
\(32\) | −0.155497 | + | 5.65472i | −0.0274882 | + | 0.999622i | ||||
\(33\) | 6.31238 | 1.09884 | ||||||||
\(34\) | −2.43218 | − | 7.62793i | −0.417115 | − | 1.30818i | ||||
\(35\) | −2.35489 | + | 0.975427i | −0.398049 | + | 0.164877i | ||||
\(36\) | 1.13218 | − | 6.67256i | 0.188697 | − | 1.11209i | ||||
\(37\) | 1.26339 | − | 3.05009i | 0.207700 | − | 0.501432i | −0.785360 | − | 0.619039i | \(-0.787522\pi\) |
0.993060 | + | 0.117607i | \(0.0375222\pi\) | |||||||
\(38\) | 3.53318 | + | 4.18318i | 0.573157 | + | 0.678601i | ||||
\(39\) | 1.78661 | + | 1.78661i | 0.286087 | + | 0.286087i | ||||
\(40\) | 4.86418 | + | 8.23968i | 0.769095 | + | 1.30281i | ||||
\(41\) | −3.74391 | + | 3.74391i | −0.584700 | + | 0.584700i | −0.936191 | − | 0.351491i | \(-0.885675\pi\) |
0.351491 | + | 0.936191i | \(0.385675\pi\) | |||||||
\(42\) | 2.68281 | + | 0.225991i | 0.413967 | + | 0.0348711i | ||||
\(43\) | 9.89221 | + | 4.09749i | 1.50855 | + | 0.624861i | 0.975258 | − | 0.221072i | \(-0.0709556\pi\) |
0.533290 | + | 0.845933i | \(0.320956\pi\) | |||||||
\(44\) | 4.87111 | − | 1.11294i | 0.734348 | − | 0.167783i | ||||
\(45\) | −4.38082 | − | 10.5762i | −0.653055 | − | 1.57661i | ||||
\(46\) | 0.499759 | − | 0.967642i | 0.0736854 | − | 0.142671i | ||||
\(47\) | − | 6.90584i | − | 1.00732i | −0.863902 | − | 0.503660i | \(-0.831987\pi\) | ||
0.863902 | − | 0.503660i | \(-0.168013\pi\) | |||||||
\(48\) | −0.571189 | − | 10.0905i | −0.0824440 | − | 1.45643i | ||||
\(49\) | − | 6.43229i | − | 0.918898i | ||||||
\(50\) | 8.09713 | + | 4.18193i | 1.14511 | + | 0.591414i | ||||
\(51\) | 5.47396 | + | 13.2153i | 0.766508 | + | 1.85051i | ||||
\(52\) | 1.69369 | + | 1.06369i | 0.234872 | + | 0.147507i | ||||
\(53\) | 8.11671 | + | 3.36205i | 1.11492 | + | 0.461813i | 0.862628 | − | 0.505839i | \(-0.168817\pi\) |
0.252288 | + | 0.967652i | \(0.418817\pi\) | |||||||
\(54\) | −0.115164 | + | 1.36716i | −0.0156719 | + | 0.186046i | ||||
\(55\) | 5.97617 | − | 5.97617i | 0.805827 | − | 0.805827i | ||||
\(56\) | 2.11011 | − | 0.298618i | 0.281975 | − | 0.0399046i | ||||
\(57\) | −6.91748 | − | 6.91748i | −0.916242 | − | 0.916242i | ||||
\(58\) | 0.201517 | − | 0.170205i | 0.0264605 | − | 0.0223490i | ||||
\(59\) | −4.99874 | + | 12.0680i | −0.650780 | + | 1.57112i | 0.160868 | + | 0.986976i | \(0.448571\pi\) |
−0.811648 | + | 0.584146i | \(0.801429\pi\) | |||||||
\(60\) | −9.89542 | − | 13.9397i | −1.27749 | − | 1.79961i | ||||
\(61\) | 7.27628 | − | 3.01393i | 0.931632 | − | 0.385894i | 0.135334 | − | 0.990800i | \(-0.456789\pi\) |
0.796297 | + | 0.604906i | \(0.206789\pi\) | |||||||
\(62\) | 12.7753 | − | 4.07343i | 1.62247 | − | 0.517327i | ||||
\(63\) | −2.54971 | −0.321234 | ||||||||
\(64\) | −2.21983 | − | 7.68585i | −0.277479 | − | 0.960732i | ||||
\(65\) | 3.38291 | 0.419598 | ||||||||
\(66\) | −8.50517 | + | 2.71189i | −1.04691 | + | 0.333810i | ||||
\(67\) | −4.16514 | + | 1.72526i | −0.508852 | + | 0.210774i | −0.622312 | − | 0.782769i | \(-0.713807\pi\) |
0.113460 | + | 0.993543i | \(0.463807\pi\) | |||||||
\(68\) | 6.55414 | + | 9.23282i | 0.794806 | + | 1.11964i | ||||
\(69\) | −0.744610 | + | 1.79765i | −0.0896405 | + | 0.216411i | ||||
\(70\) | 2.75387 | − | 2.32597i | 0.329151 | − | 0.278006i | ||||
\(71\) | −2.80474 | − | 2.80474i | −0.332862 | − | 0.332862i | 0.520811 | − | 0.853672i | \(-0.325630\pi\) |
−0.853672 | + | 0.520811i | \(0.825630\pi\) | |||||||
\(72\) | 1.34115 | + | 9.47687i | 0.158056 | + | 1.11686i | ||||
\(73\) | 3.20489 | − | 3.20489i | 0.375104 | − | 0.375104i | −0.494228 | − | 0.869332i | \(-0.664549\pi\) |
0.869332 | + | 0.494228i | \(0.164549\pi\) | |||||||
\(74\) | −0.391902 | + | 4.65240i | −0.0455577 | + | 0.540831i | ||||
\(75\) | −15.0425 | − | 6.23082i | −1.73696 | − | 0.719473i | ||||
\(76\) | −6.55768 | − | 4.11842i | −0.752218 | − | 0.472415i | ||||
\(77\) | −0.720365 | − | 1.73912i | −0.0820932 | − | 0.198191i | ||||
\(78\) | −3.17480 | − | 1.63969i | −0.359475 | − | 0.185658i | ||||
\(79\) | 11.3386i | 1.27569i | 0.770165 | + | 0.637844i | \(0.220174\pi\) | ||||
−0.770165 | + | 0.637844i | \(0.779826\pi\) | |||||||
\(80\) | −10.0938 | − | 9.01225i | −1.12852 | − | 1.00760i | ||||
\(81\) | 7.70067i | 0.855630i | ||||||||
\(82\) | 3.43603 | − | 6.65290i | 0.379446 | − | 0.734690i | ||||
\(83\) | −0.0942172 | − | 0.227461i | −0.0103417 | − | 0.0249670i | 0.918624 | − | 0.395132i | \(-0.129301\pi\) |
−0.928966 | + | 0.370165i | \(0.879301\pi\) | |||||||
\(84\) | −3.71185 | + | 0.848078i | −0.404996 | + | 0.0925329i | ||||
\(85\) | 17.6939 | + | 7.32904i | 1.91917 | + | 0.794946i | ||||
\(86\) | −15.0889 | − | 1.27104i | −1.62708 | − | 0.137059i | ||||
\(87\) | −0.333238 | + | 0.333238i | −0.0357268 | + | 0.0357268i | ||||
\(88\) | −6.08510 | + | 3.59226i | −0.648674 | + | 0.382936i | ||||
\(89\) | 11.9906 | + | 11.9906i | 1.27101 | + | 1.27101i | 0.945561 | + | 0.325444i | \(0.105514\pi\) |
0.325444 | + | 0.945561i | \(0.394486\pi\) | |||||||
\(90\) | 10.4463 | + | 12.3682i | 1.10114 | + | 1.30372i | ||||
\(91\) | 0.288340 | − | 0.696114i | 0.0302262 | − | 0.0729726i | ||||
\(92\) | −0.257652 | + | 1.51848i | −0.0268621 | + | 0.158313i | ||||
\(93\) | −22.1331 | + | 9.16784i | −2.29510 | + | 0.950661i | ||||
\(94\) | 2.96685 | + | 9.30478i | 0.306007 | + | 0.959715i | ||||
\(95\) | −13.0981 | −1.34383 | ||||||||
\(96\) | 5.10461 | + | 13.3503i | 0.520987 | + | 1.36256i | ||||
\(97\) | 8.01939 | 0.814246 | 0.407123 | − | 0.913373i | \(-0.366532\pi\) | ||||
0.407123 | + | 0.913373i | \(0.366532\pi\) | |||||||
\(98\) | 2.76340 | + | 8.66673i | 0.279146 | + | 0.875472i | ||||
\(99\) | 7.81069 | − | 3.23529i | 0.785004 | − | 0.325159i | ||||
\(100\) | −12.7065 | − | 2.15600i | −1.27065 | − | 0.215600i | ||||
\(101\) | −2.62516 | + | 6.33770i | −0.261213 | + | 0.630624i | −0.999014 | − | 0.0443939i | \(-0.985864\pi\) |
0.737801 | + | 0.675018i | \(0.235864\pi\) | |||||||
\(102\) | −13.0530 | − | 15.4544i | −1.29244 | − | 1.53021i | ||||
\(103\) | −5.27768 | − | 5.27768i | −0.520025 | − | 0.520025i | 0.397554 | − | 0.917579i | \(-0.369859\pi\) |
−0.917579 | + | 0.397554i | \(0.869859\pi\) | |||||||
\(104\) | −2.73901 | − | 0.705557i | −0.268582 | − | 0.0691856i | ||||
\(105\) | −4.55392 | + | 4.55392i | −0.444417 | + | 0.444417i | ||||
\(106\) | −12.3807 | − | 1.04291i | −1.20252 | − | 0.101296i | ||||
\(107\) | −12.6366 | − | 5.23427i | −1.22163 | − | 0.506016i | −0.323702 | − | 0.946159i | \(-0.604928\pi\) |
−0.897927 | + | 0.440144i | \(0.854928\pi\) | |||||||
\(108\) | −0.432179 | − | 1.89155i | −0.0415865 | − | 0.182015i | ||||
\(109\) | −5.02767 | − | 12.1379i | −0.481563 | − | 1.16260i | −0.958866 | − | 0.283858i | \(-0.908386\pi\) |
0.477303 | − | 0.878739i | \(-0.341614\pi\) | |||||||
\(110\) | −5.48472 | + | 10.6196i | −0.522948 | + | 1.01254i | ||||
\(111\) | − | 8.34148i | − | 0.791738i | ||||||
\(112\) | −2.71482 | + | 1.30888i | −0.256527 | + | 0.123678i | ||||
\(113\) | 12.7887i | 1.20306i | 0.798851 | + | 0.601528i | \(0.205441\pi\) | ||||
−0.798851 | + | 0.601528i | \(0.794559\pi\) | |||||||
\(114\) | 12.2923 | + | 6.34862i | 1.15128 | + | 0.594603i | ||||
\(115\) | 0.996950 | + | 2.40685i | 0.0929661 | + | 0.224440i | ||||
\(116\) | −0.198398 | + | 0.315905i | −0.0184208 | + | 0.0293310i | ||||
\(117\) | 3.12638 | + | 1.29499i | 0.289034 | + | 0.119722i | ||||
\(118\) | 1.55060 | − | 18.4077i | 0.142745 | − | 1.69457i | ||||
\(119\) | 3.01625 | − | 3.01625i | 0.276499 | − | 0.276499i | ||||
\(120\) | 19.3216 | + | 14.5308i | 1.76381 | + | 1.32648i | ||||
\(121\) | −3.36470 | − | 3.36470i | −0.305881 | − | 0.305881i | ||||
\(122\) | −8.50908 | + | 7.18690i | −0.770376 | + | 0.650671i | ||||
\(123\) | −5.11947 | + | 12.3595i | −0.461607 | + | 1.11442i | ||||
\(124\) | −15.4632 | + | 10.9769i | −1.38864 | + | 0.985757i | ||||
\(125\) | −4.51328 | + | 1.86946i | −0.403680 | + | 0.167210i | ||||
\(126\) | 3.43543 | − | 1.09539i | 0.306052 | − | 0.0975853i | ||||
\(127\) | −0.651405 | −0.0578028 | −0.0289014 | − | 0.999582i | \(-0.509201\pi\) | ||||
−0.0289014 | + | 0.999582i | \(0.509201\pi\) | |||||||
\(128\) | 6.29291 | + | 9.40209i | 0.556220 | + | 0.831035i | ||||
\(129\) | 27.0535 | 2.38193 | ||||||||
\(130\) | −4.55806 | + | 1.45335i | −0.399768 | + | 0.127467i | ||||
\(131\) | −13.7671 | + | 5.70252i | −1.20284 | + | 0.498232i | −0.891915 | − | 0.452203i | \(-0.850638\pi\) |
−0.310923 | + | 0.950435i | \(0.600638\pi\) | |||||||
\(132\) | 10.2946 | − | 7.30789i | 0.896033 | − | 0.636070i | ||||
\(133\) | −1.11641 | + | 2.69524i | −0.0968047 | + | 0.233707i | ||||
\(134\) | 4.87082 | − | 4.11398i | 0.420775 | − | 0.355393i | ||||
\(135\) | −2.32067 | − | 2.32067i | −0.199731 | − | 0.199731i | ||||
\(136\) | −12.7975 | − | 9.62437i | −1.09737 | − | 0.825283i | ||||
\(137\) | 7.85680 | − | 7.85680i | 0.671252 | − | 0.671252i | −0.286753 | − | 0.958005i | \(-0.592576\pi\) |
0.958005 | + | 0.286753i | \(0.0925758\pi\) | |||||||
\(138\) | 0.230977 | − | 2.74201i | 0.0196621 | − | 0.233415i | ||||
\(139\) | −1.89606 | − | 0.785375i | −0.160822 | − | 0.0666147i | 0.300820 | − | 0.953681i | \(-0.402740\pi\) |
−0.461642 | + | 0.887066i | \(0.652740\pi\) | |||||||
\(140\) | −2.71124 | + | 4.31706i | −0.229142 | + | 0.364858i | ||||
\(141\) | −6.67730 | − | 16.1204i | −0.562330 | − | 1.35759i | ||||
\(142\) | 4.98401 | + | 2.57410i | 0.418249 | + | 0.216013i | ||||
\(143\) | 2.49832i | 0.208920i | ||||||||
\(144\) | −5.87844 | − | 12.1928i | −0.489870 | − | 1.01606i | ||||
\(145\) | 0.630977i | 0.0523998i | ||||||||
\(146\) | −2.94133 | + | 5.69507i | −0.243427 | + | 0.471327i | ||||
\(147\) | −6.21942 | − | 15.0150i | −0.512970 | − | 1.23842i | ||||
\(148\) | −1.47070 | − | 6.43692i | −0.120891 | − | 0.529112i | ||||
\(149\) | 16.7487 | + | 6.93753i | 1.37211 | + | 0.568345i | 0.942358 | − | 0.334605i | \(-0.108603\pi\) |
0.429747 | + | 0.902950i | \(0.358603\pi\) | |||||||
\(150\) | 22.9448 | + | 1.93279i | 1.87344 | + | 0.157812i | ||||
\(151\) | −8.75976 | + | 8.75976i | −0.712860 | + | 0.712860i | −0.967132 | − | 0.254273i | \(-0.918164\pi\) |
0.254273 | + | 0.967132i | \(0.418164\pi\) | |||||||
\(152\) | 10.6050 | + | 2.73180i | 0.860181 | + | 0.221579i | ||||
\(153\) | 13.5465 | + | 13.5465i | 1.09517 | + | 1.09517i | ||||
\(154\) | 1.71775 | + | 2.03377i | 0.138421 | + | 0.163886i | ||||
\(155\) | −12.2747 | + | 29.6338i | −0.985930 | + | 2.38025i | ||||
\(156\) | 4.98209 | + | 0.845347i | 0.398887 | + | 0.0676819i | ||||
\(157\) | 4.11986 | − | 1.70650i | 0.328801 | − | 0.136194i | −0.212176 | − | 0.977232i | \(-0.568055\pi\) |
0.540976 | + | 0.841038i | \(0.318055\pi\) | |||||||
\(158\) | −4.87121 | − | 15.2774i | −0.387533 | − | 1.21540i | ||||
\(159\) | 22.1978 | 1.76040 | ||||||||
\(160\) | 17.4719 | + | 7.80649i | 1.38128 | + | 0.617157i | ||||
\(161\) | 0.580242 | 0.0457294 | ||||||||
\(162\) | −3.30832 | − | 10.3757i | −0.259926 | − | 0.815194i | ||||
\(163\) | 11.3095 | − | 4.68456i | 0.885830 | − | 0.366923i | 0.107075 | − | 0.994251i | \(-0.465852\pi\) |
0.778755 | + | 0.627328i | \(0.215852\pi\) | |||||||
\(164\) | −1.77145 | + | 10.4401i | −0.138327 | + | 0.815238i | ||||
\(165\) | 8.17190 | − | 19.7287i | 0.636182 | − | 1.53588i | ||||
\(166\) | 0.224667 | + | 0.265999i | 0.0174375 | + | 0.0206455i | ||||
\(167\) | 2.08232 | + | 2.08232i | 0.161135 | + | 0.161135i | 0.783069 | − | 0.621934i | \(-0.213653\pi\) |
−0.621934 | + | 0.783069i | \(0.713653\pi\) | |||||||
\(168\) | 4.63693 | − | 2.73735i | 0.357747 | − | 0.211191i | ||||
\(169\) | −0.707107 | + | 0.707107i | −0.0543928 | + | 0.0543928i | ||||
\(170\) | −26.9890 | − | 2.27346i | −2.06996 | − | 0.174366i | ||||
\(171\) | −12.1048 | − | 5.01399i | −0.925680 | − | 0.383429i | ||||
\(172\) | 20.8765 | − | 4.76984i | 1.59182 | − | 0.363697i | ||||
\(173\) | −7.30134 | − | 17.6270i | −0.555111 | − | 1.34016i | −0.913597 | − | 0.406621i | \(-0.866707\pi\) |
0.358486 | − | 0.933535i | \(-0.383293\pi\) | |||||||
\(174\) | 0.305834 | − | 0.592161i | 0.0231852 | − | 0.0448916i | ||||
\(175\) | 4.85540i | 0.367034i | ||||||||
\(176\) | 6.65566 | − | 7.45438i | 0.501689 | − | 0.561895i | ||||
\(177\) | 33.0040i | 2.48073i | ||||||||
\(178\) | −21.3073 | − | 11.0046i | −1.59705 | − | 0.824829i | ||||
\(179\) | −9.66396 | − | 23.3309i | −0.722318 | − | 1.74383i | −0.666638 | − | 0.745382i | \(-0.732267\pi\) |
−0.0556802 | − | 0.998449i | \(-0.517733\pi\) | |||||||
\(180\) | −19.3887 | − | 12.1767i | −1.44515 | − | 0.907598i | ||||
\(181\) | −20.6480 | − | 8.55269i | −1.53476 | − | 0.635716i | −0.554275 | − | 0.832334i | \(-0.687004\pi\) |
−0.980480 | + | 0.196617i | \(0.937004\pi\) | |||||||
\(182\) | −0.0894428 | + | 1.06180i | −0.00662994 | + | 0.0787062i | ||||
\(183\) | 14.0710 | − | 14.0710i | 1.04016 | − | 1.04016i | ||||
\(184\) | −0.305207 | − | 2.15667i | −0.0225002 | − | 0.158991i | ||||
\(185\) | −7.89720 | − | 7.89720i | −0.580614 | − | 0.580614i | ||||
\(186\) | 25.8831 | − | 21.8613i | 1.89784 | − | 1.60295i | ||||
\(187\) | −5.41258 | + | 13.0671i | −0.395807 | + | 0.955563i | ||||
\(188\) | −7.99493 | − | 11.2625i | −0.583090 | − | 0.821400i | ||||
\(189\) | −0.675334 | + | 0.279733i | −0.0491233 | + | 0.0203475i | ||||
\(190\) | 17.6481 | − | 5.62712i | 1.28033 | − | 0.408234i | ||||
\(191\) | 13.7153 | 0.992405 | 0.496202 | − | 0.868207i | \(-0.334727\pi\) | ||||
0.496202 | + | 0.868207i | \(0.334727\pi\) | |||||||
\(192\) | −12.6133 | − | 15.7949i | −0.910288 | − | 1.13990i | ||||
\(193\) | −2.67591 | −0.192616 | −0.0963080 | − | 0.995352i | \(-0.530703\pi\) | ||||
−0.0963080 | + | 0.995352i | \(0.530703\pi\) | |||||||
\(194\) | −10.8052 | + | 3.44524i | −0.775766 | + | 0.247354i | ||||
\(195\) | 7.89679 | − | 3.27096i | 0.565501 | − | 0.234238i | ||||
\(196\) | −7.44670 | − | 10.4902i | −0.531907 | − | 0.749298i | ||||
\(197\) | −6.46905 | + | 15.6177i | −0.460901 | + | 1.11271i | 0.507127 | + | 0.861871i | \(0.330708\pi\) |
−0.968028 | + | 0.250842i | \(0.919292\pi\) | |||||||
\(198\) | −9.13403 | + | 7.71475i | −0.649128 | + | 0.548263i | ||||
\(199\) | 7.09858 | + | 7.09858i | 0.503205 | + | 0.503205i | 0.912433 | − | 0.409227i | \(-0.134202\pi\) |
−0.409227 | + | 0.912433i | \(0.634202\pi\) | |||||||
\(200\) | 18.0468 | − | 2.55394i | 1.27610 | − | 0.180591i | ||||
\(201\) | −8.05460 | + | 8.05460i | −0.568128 | + | 0.568128i | ||||
\(202\) | 0.814322 | − | 9.66709i | 0.0572955 | − | 0.680174i | ||||
\(203\) | 0.129839 | + | 0.0537810i | 0.00911289 | + | 0.00377468i | ||||
\(204\) | 24.2268 | + | 15.2151i | 1.69621 | + | 1.06527i | ||||
\(205\) | 6.85441 | + | 16.5480i | 0.478732 | + | 1.15576i | ||||
\(206\) | 9.37840 | + | 4.84367i | 0.653424 | + | 0.337475i | ||||
\(207\) | 2.60597i | 0.181128i | ||||||||
\(208\) | 3.99361 | − | 0.226065i | 0.276907 | − | 0.0156748i | ||||
\(209\) | − | 9.67310i | − | 0.669102i | ||||||
\(210\) | 4.17943 | − | 8.09229i | 0.288408 | − | 0.558421i | ||||
\(211\) | 0.615874 | + | 1.48685i | 0.0423985 | + | 0.102359i | 0.943660 | − | 0.330916i | \(-0.107358\pi\) |
−0.901262 | + | 0.433275i | \(0.857358\pi\) | |||||||
\(212\) | 17.1295 | − | 3.91373i | 1.17646 | − | 0.268796i | ||||
\(213\) | −9.25910 | − | 3.83524i | −0.634423 | − | 0.262787i | ||||
\(214\) | 19.2751 | + | 1.62366i | 1.31762 | + | 0.110991i | ||||
\(215\) | 25.6126 | − | 25.6126i | 1.74676 | − | 1.74676i | ||||
\(216\) | 1.39495 | + | 2.36297i | 0.0949142 | + | 0.160780i | ||||
\(217\) | 5.05164 | + | 5.05164i | 0.342928 | + | 0.342928i | ||||
\(218\) | 11.9888 | + | 14.1944i | 0.811983 | + | 0.961363i | ||||
\(219\) | 4.38241 | − | 10.5801i | 0.296136 | − | 0.714935i | ||||
\(220\) | 2.82766 | − | 16.6650i | 0.190641 | − | 1.12355i | ||||
\(221\) | −5.23037 | + | 2.16649i | −0.351833 | + | 0.145734i | ||||
\(222\) | 3.58362 | + | 11.2391i | 0.240517 | + | 0.754322i | ||||
\(223\) | −14.1076 | −0.944718 | −0.472359 | − | 0.881406i | \(-0.656597\pi\) | ||||
−0.472359 | + | 0.881406i | \(0.656597\pi\) | |||||||
\(224\) | 3.09558 | − | 2.92989i | 0.206832 | − | 0.195761i | ||||
\(225\) | −21.8065 | −1.45377 | ||||||||
\(226\) | −5.49419 | − | 17.2312i | −0.365468 | − | 1.14620i | ||||
\(227\) | 12.1965 | − | 5.05196i | 0.809510 | − | 0.335310i | 0.0607516 | − | 0.998153i | \(-0.480650\pi\) |
0.748759 | + | 0.662843i | \(0.230650\pi\) | |||||||
\(228\) | −19.2899 | − | 3.27305i | −1.27750 | − | 0.216763i | ||||
\(229\) | −3.42798 | + | 8.27586i | −0.226527 | + | 0.546885i | −0.995750 | − | 0.0920957i | \(-0.970643\pi\) |
0.769223 | + | 0.638980i | \(0.220643\pi\) | |||||||
\(230\) | −2.37729 | − | 2.81464i | −0.156754 | − | 0.185592i | ||||
\(231\) | −3.36313 | − | 3.36313i | −0.221278 | − | 0.221278i | ||||
\(232\) | 0.131600 | − | 0.510879i | 0.00863996 | − | 0.0335408i | ||||
\(233\) | 19.2925 | − | 19.2925i | 1.26389 | − | 1.26389i | 0.314702 | − | 0.949191i | \(-0.398095\pi\) |
0.949191 | − | 0.314702i | \(-0.101905\pi\) | |||||||
\(234\) | −4.76876 | − | 0.401704i | −0.311744 | − | 0.0262602i | ||||
\(235\) | −21.5835 | − | 8.94018i | −1.40795 | − | 0.583193i | ||||
\(236\) | 5.81897 | + | 25.4684i | 0.378783 | + | 1.65785i | ||||
\(237\) | 10.9633 | + | 26.4679i | 0.712146 | + | 1.71927i | ||||
\(238\) | −2.76821 | + | 5.35985i | −0.179436 | + | 0.347428i | ||||
\(239\) | − | 1.71810i | − | 0.111135i | −0.998455 | − | 0.0555673i | \(-0.982303\pi\) | ||
0.998455 | − | 0.0555673i | \(-0.0176967\pi\) | |||||||
\(240\) | −32.2761 | − | 11.2777i | −2.08342 | − | 0.727974i | ||||
\(241\) | 0.676452i | 0.0435741i | 0.999763 | + | 0.0217871i | \(0.00693559\pi\) | ||||
−0.999763 | + | 0.0217871i | \(0.993064\pi\) | |||||||
\(242\) | 5.97904 | + | 3.08800i | 0.384348 | + | 0.198504i | ||||
\(243\) | 8.55962 | + | 20.6647i | 0.549100 | + | 1.32564i | ||||
\(244\) | 8.37736 | − | 13.3391i | 0.536306 | − | 0.853949i | ||||
\(245\) | −20.1035 | − | 8.32713i | −1.28436 | − | 0.532001i | ||||
\(246\) | 1.58805 | − | 18.8523i | 0.101251 | − | 1.20198i | ||||
\(247\) | 2.73780 | − | 2.73780i | 0.174202 | − | 0.174202i | ||||
\(248\) | 16.1190 | − | 21.4333i | 1.02356 | − | 1.36102i | ||||
\(249\) | −0.439867 | − | 0.439867i | −0.0278754 | − | 0.0278754i | ||||
\(250\) | 5.27796 | − | 4.45785i | 0.333807 | − | 0.281939i | ||||
\(251\) | −9.27095 | + | 22.3820i | −0.585177 | + | 1.41274i | 0.302889 | + | 0.953026i | \(0.402049\pi\) |
−0.888066 | + | 0.459716i | \(0.847951\pi\) | |||||||
\(252\) | −4.15823 | + | 2.95182i | −0.261944 | + | 0.185947i | ||||
\(253\) | −1.77749 | + | 0.736260i | −0.111750 | + | 0.0462883i | ||||
\(254\) | 0.877689 | − | 0.279853i | 0.0550711 | − | 0.0175595i | ||||
\(255\) | 48.3896 | 3.03028 | ||||||||
\(256\) | −12.5182 | − | 9.96466i | −0.782388 | − | 0.622791i | ||||
\(257\) | 11.3367 | 0.707164 | 0.353582 | − | 0.935403i | \(-0.384963\pi\) | ||||
0.353582 | + | 0.935403i | \(0.384963\pi\) | |||||||
\(258\) | −36.4513 | + | 11.6226i | −2.26936 | + | 0.723589i | ||||
\(259\) | −2.29815 | + | 0.951925i | −0.142800 | + | 0.0591497i | ||||
\(260\) | 5.51706 | − | 3.91642i | 0.342154 | − | 0.242886i | ||||
\(261\) | −0.241540 | + | 0.583130i | −0.0149510 | + | 0.0360948i | ||||
\(262\) | 16.0996 | − | 13.5980i | 0.994639 | − | 0.840088i | ||||
\(263\) | −19.2135 | − | 19.2135i | −1.18476 | − | 1.18476i | −0.978498 | − | 0.206258i | \(-0.933871\pi\) |
−0.206258 | − | 0.978498i | \(-0.566129\pi\) | |||||||
\(264\) | −10.7312 | + | 14.2692i | −0.660460 | + | 0.878210i | ||||
\(265\) | 21.0155 | − | 21.0155i | 1.29097 | − | 1.29097i | ||||
\(266\) | 0.346308 | − | 4.11114i | 0.0212335 | − | 0.252070i | ||||
\(267\) | 39.5838 | + | 16.3962i | 2.42249 | + | 1.00343i | ||||
\(268\) | −4.79543 | + | 7.63566i | −0.292927 | + | 0.466422i | ||||
\(269\) | −0.521884 | − | 1.25994i | −0.0318198 | − | 0.0768198i | 0.907171 | − | 0.420762i | \(-0.138237\pi\) |
−0.938991 | + | 0.343943i | \(0.888237\pi\) | |||||||
\(270\) | 4.12382 | + | 2.12983i | 0.250967 | + | 0.129617i | ||||
\(271\) | 14.1474i | 0.859391i | 0.902974 | + | 0.429695i | \(0.141379\pi\) | ||||
−0.902974 | + | 0.429695i | \(0.858621\pi\) | |||||||
\(272\) | 21.3778 | + | 7.46970i | 1.29622 | + | 0.452917i | ||||
\(273\) | − | 1.90375i | − | 0.115220i | ||||||
\(274\) | −7.21070 | + | 13.9615i | −0.435614 | + | 0.843444i | ||||
\(275\) | −6.16095 | − | 14.8738i | −0.371519 | − | 0.896927i | ||||
\(276\) | 0.866791 | + | 3.79376i | 0.0521747 | + | 0.228357i | ||||
\(277\) | 8.87659 | + | 3.67681i | 0.533343 | + | 0.220918i | 0.633067 | − | 0.774097i | \(-0.281796\pi\) |
−0.0997238 | + | 0.995015i | \(0.531796\pi\) | |||||||
\(278\) | 2.89213 | + | 0.243623i | 0.173458 | + | 0.0146115i | ||||
\(279\) | −22.6878 | + | 22.6878i | −1.35829 | + | 1.35829i | ||||
\(280\) | 1.79840 | − | 6.98151i | 0.107475 | − | 0.417225i | ||||
\(281\) | −3.28903 | − | 3.28903i | −0.196207 | − | 0.196207i | 0.602165 | − | 0.798372i | \(-0.294305\pi\) |
−0.798372 | + | 0.602165i | \(0.794305\pi\) | |||||||
\(282\) | 15.9224 | + | 18.8517i | 0.948167 | + | 1.12260i | ||||
\(283\) | −0.260958 | + | 0.630008i | −0.0155123 | + | 0.0374501i | −0.931446 | − | 0.363880i | \(-0.881452\pi\) |
0.915934 | + | 0.401330i | \(0.131452\pi\) | |||||||
\(284\) | −7.82122 | − | 1.32708i | −0.464104 | − | 0.0787478i | ||||
\(285\) | −30.5751 | + | 12.6646i | −1.81111 | + | 0.750188i | ||||
\(286\) | −1.07331 | − | 3.36618i | −0.0634664 | − | 0.199047i | ||||
\(287\) | 3.98938 | 0.235486 | ||||||||
\(288\) | 13.1587 | + | 13.9028i | 0.775382 | + | 0.819232i | ||||
\(289\) | −15.0504 | −0.885320 | ||||||||
\(290\) | −0.271077 | − | 0.850166i | −0.0159182 | − | 0.0499235i | ||||
\(291\) | 18.7198 | − | 7.75401i | 1.09738 | − | 0.454548i | ||||
\(292\) | 1.51641 | − | 8.93705i | 0.0887414 | − | 0.523001i | ||||
\(293\) | −10.5592 | + | 25.4922i | −0.616876 | + | 1.48927i | 0.238436 | + | 0.971158i | \(0.423365\pi\) |
−0.855312 | + | 0.518113i | \(0.826635\pi\) | |||||||
\(294\) | 14.8306 | + | 17.5590i | 0.864938 | + | 1.02406i | ||||
\(295\) | 31.2461 | + | 31.2461i | 1.81922 | + | 1.81922i | ||||
\(296\) | 4.74698 | + | 8.04114i | 0.275913 | + | 0.467382i | ||||
\(297\) | 1.71384 | − | 1.71384i | 0.0994473 | − | 0.0994473i | ||||
\(298\) | −25.5473 | − | 2.15202i | −1.47991 | − | 0.124663i | ||||
\(299\) | −0.711474 | − | 0.294702i | −0.0411456 | − | 0.0170431i | ||||
\(300\) | −31.7458 | + | 7.25322i | −1.83284 | + | 0.418765i | ||||
\(301\) | −3.08733 | − | 7.45347i | −0.177951 | − | 0.429611i | ||||
\(302\) | 8.03941 | − | 15.5660i | 0.462616 | − | 0.895725i | ||||
\(303\) | 17.3325i | 0.995727i | ||||||||
\(304\) | −15.4626 | + | 0.875290i | −0.886841 | + | 0.0502013i | ||||
\(305\) | − | 26.6431i | − | 1.52558i | ||||||
\(306\) | −24.0721 | − | 12.4325i | −1.37611 | − | 0.710721i | ||||
\(307\) | −0.00306307 | − | 0.00739491i | −0.000174819 | − | 0.000422050i | 0.923792 | − | 0.382894i | \(-0.125073\pi\) |
−0.923967 | + | 0.382472i | \(0.875073\pi\) | |||||||
\(308\) | −3.18820 | − | 2.00229i | −0.181665 | − | 0.114091i | ||||
\(309\) | −17.4228 | − | 7.21677i | −0.991150 | − | 0.410548i | ||||
\(310\) | 3.80761 | − | 45.2014i | 0.216258 | − | 2.56727i | ||||
\(311\) | −14.6030 | + | 14.6030i | −0.828061 | + | 0.828061i | −0.987248 | − | 0.159187i | \(-0.949113\pi\) |
0.159187 | + | 0.987248i | \(0.449113\pi\) | |||||||
\(312\) | −7.07594 | + | 1.00137i | −0.400596 | + | 0.0566917i | ||||
\(313\) | −14.2634 | − | 14.2634i | −0.806216 | − | 0.806216i | 0.177843 | − | 0.984059i | \(-0.443088\pi\) |
−0.984059 | + | 0.177843i | \(0.943088\pi\) | |||||||
\(314\) | −4.81788 | + | 4.06926i | −0.271889 | + | 0.229642i | ||||
\(315\) | −3.30081 | + | 7.96887i | −0.185980 | + | 0.448995i | ||||
\(316\) | 13.1267 | + | 18.4917i | 0.738437 | + | 1.04024i | ||||
\(317\) | −18.1673 | + | 7.52513i | −1.02038 | + | 0.422653i | −0.829229 | − | 0.558908i | \(-0.811220\pi\) |
−0.191146 | + | 0.981562i | \(0.561220\pi\) | |||||||
\(318\) | −29.9089 | + | 9.53650i | −1.67721 | + | 0.534780i | ||||
\(319\) | −0.465985 | −0.0260901 | ||||||||
\(320\) | −26.8951 | − | 3.01211i | −1.50348 | − | 0.168382i | ||||
\(321\) | −34.5590 | −1.92890 | ||||||||
\(322\) | −0.781806 | + | 0.249280i | −0.0435683 | + | 0.0138918i | ||||
\(323\) | 20.2512 | − | 8.38830i | 1.12680 | − | 0.466738i | ||||
\(324\) | 8.91512 | + | 12.5587i | 0.495284 | + | 0.697708i | ||||
\(325\) | 2.46604 | − | 5.95354i | 0.136791 | − | 0.330243i | ||||
\(326\) | −13.2257 | + | 11.1706i | −0.732502 | + | 0.618683i | ||||
\(327\) | −23.4724 | − | 23.4724i | −1.29803 | − | 1.29803i | ||||
\(328\) | −2.09841 | − | 14.8279i | −0.115866 | − | 0.818733i | ||||
\(329\) | −3.67931 | + | 3.67931i | −0.202847 | + | 0.202847i | ||||
\(330\) | −2.53492 | + | 30.0928i | −0.139543 | + | 1.65656i | ||||
\(331\) | −2.60954 | − | 1.08091i | −0.143433 | − | 0.0594120i | 0.309812 | − | 0.950798i | \(-0.399734\pi\) |
−0.453245 | + | 0.891386i | \(0.649734\pi\) | |||||||
\(332\) | −0.416988 | − | 0.261881i | −0.0228852 | − | 0.0143726i | ||||
\(333\) | −4.27527 | − | 10.3214i | −0.234283 | − | 0.565610i | ||||
\(334\) | −3.70027 | − | 1.91108i | −0.202470 | − | 0.104570i | ||||
\(335\) | 15.2512i | 0.833262i | ||||||||
\(336\) | −5.07170 | + | 5.68034i | −0.276684 | + | 0.309888i | ||||
\(337\) | − | 8.26672i | − | 0.450317i | −0.974322 | − | 0.225158i | \(-0.927710\pi\) | ||
0.974322 | − | 0.225158i | \(-0.0722900\pi\) | |||||||
\(338\) | 0.648958 | − | 1.25652i | 0.0352987 | − | 0.0683459i | ||||
\(339\) | 12.3655 | + | 29.8529i | 0.671600 | + | 1.62139i | ||||
\(340\) | 37.3411 | − | 8.53164i | 2.02511 | − | 0.462693i | ||||
\(341\) | −21.8849 | − | 9.06504i | −1.18514 | − | 0.490899i | ||||
\(342\) | 18.4639 | + | 1.55533i | 0.998413 | + | 0.0841028i | ||||
\(343\) | −7.15649 | + | 7.15649i | −0.386414 | + | 0.386414i | ||||
\(344\) | −26.0794 | + | 15.3956i | −1.40611 | + | 0.830077i | ||||
\(345\) | 4.65440 | + | 4.65440i | 0.250585 | + | 0.250585i | ||||
\(346\) | 17.4105 | + | 20.6135i | 0.935993 | + | 1.10819i | ||||
\(347\) | 6.55848 | − | 15.8336i | 0.352078 | − | 0.849991i | −0.644286 | − | 0.764785i | \(-0.722845\pi\) |
0.996363 | − | 0.0852059i | \(-0.0271548\pi\) | |||||||
\(348\) | −0.157674 | + | 0.929256i | −0.00845219 | + | 0.0498134i | ||||
\(349\) | −16.2826 | + | 6.74448i | −0.871589 | + | 0.361024i | −0.773229 | − | 0.634127i | \(-0.781360\pi\) |
−0.0983600 | + | 0.995151i | \(0.531360\pi\) | |||||||
\(350\) | −2.08595 | − | 6.54207i | −0.111499 | − | 0.349688i | ||||
\(351\) | 0.970148 | 0.0517827 | ||||||||
\(352\) | −5.76519 | + | 12.9032i | −0.307286 | + | 0.687745i | ||||
\(353\) | 10.8516 | 0.577574 | 0.288787 | − | 0.957393i | \(-0.406748\pi\) | ||||
0.288787 | + | 0.957393i | \(0.406748\pi\) | |||||||
\(354\) | −14.1790 | − | 44.4688i | −0.753604 | − | 2.36349i | ||||
\(355\) | −12.3969 | + | 5.13497i | −0.657960 | + | 0.272536i | ||||
\(356\) | 33.4367 | + | 5.67345i | 1.77214 | + | 0.300692i | ||||
\(357\) | 4.12446 | − | 9.95733i | 0.218290 | − | 0.526998i | ||||
\(358\) | 23.0443 | + | 27.2837i | 1.21793 | + | 1.44199i | ||||
\(359\) | −23.4491 | − | 23.4491i | −1.23760 | − | 1.23760i | −0.960980 | − | 0.276616i | \(-0.910787\pi\) |
−0.276616 | − | 0.960980i | \(-0.589213\pi\) | |||||||
\(360\) | 31.3552 | + | 8.07697i | 1.65257 | + | 0.425694i | ||||
\(361\) | 2.83468 | − | 2.83468i | 0.149194 | − | 0.149194i | ||||
\(362\) | 31.4951 | + | 2.65304i | 1.65534 | + | 0.139441i | ||||
\(363\) | −11.1076 | − | 4.60093i | −0.582999 | − | 0.241486i | ||||
\(364\) | −0.335653 | − | 1.46908i | −0.0175930 | − | 0.0770007i | ||||
\(365\) | −5.86756 | − | 14.1655i | −0.307122 | − | 0.741459i | ||||
\(366\) | −12.9138 | + | 25.0040i | −0.675018 | + | 1.30698i | ||||
\(367\) | 9.65096i | 0.503776i | 0.967756 | + | 0.251888i | \(0.0810515\pi\) | ||||
−0.967756 | + | 0.251888i | \(0.918949\pi\) | |||||||
\(368\) | 1.33776 | + | 2.77473i | 0.0697358 | + | 0.144643i | ||||
\(369\) | 17.9170i | 0.932723i | ||||||||
\(370\) | 14.0333 | + | 7.24778i | 0.729555 | + | 0.376794i | ||||
\(371\) | −2.53320 | − | 6.11569i | −0.131517 | − | 0.317511i | ||||
\(372\) | −25.4824 | + | 40.5752i | −1.32120 | + | 2.10372i | ||||
\(373\) | 12.1200 | + | 5.02025i | 0.627548 | + | 0.259939i | 0.673711 | − | 0.738995i | \(-0.264699\pi\) |
−0.0461631 | + | 0.998934i | \(0.514699\pi\) | |||||||
\(374\) | 1.67898 | − | 19.9317i | 0.0868179 | − | 1.03064i | ||||
\(375\) | −8.72786 | + | 8.72786i | −0.450705 | + | 0.450705i | ||||
\(376\) | 15.6107 | + | 11.7401i | 0.805062 | + | 0.605449i | ||||
\(377\) | −0.131889 | − | 0.131889i | −0.00679263 | − | 0.00679263i | ||||
\(378\) | 0.789754 | − | 0.667039i | 0.0406206 | − | 0.0343088i | ||||
\(379\) | 8.20483 | − | 19.8082i | 0.421454 | − | 1.01748i | −0.560465 | − | 0.828178i | \(-0.689378\pi\) |
0.981919 | − | 0.189301i | \(-0.0606223\pi\) | |||||||
\(380\) | −21.3612 | + | 15.1637i | −1.09581 | + | 0.777883i | ||||
\(381\) | −1.52059 | + | 0.629848i | −0.0779021 | + | 0.0322681i | ||||
\(382\) | −18.4797 | + | 5.89229i | −0.945505 | + | 0.301476i | ||||
\(383\) | 22.9919 | 1.17483 | 0.587414 | − | 0.809286i | \(-0.300146\pi\) | ||||
0.587414 | + | 0.809286i | \(0.300146\pi\) | |||||||
\(384\) | 23.7806 | + | 15.8628i | 1.21355 | + | 0.809497i | ||||
\(385\) | −6.36800 | −0.324544 | ||||||||
\(386\) | 3.60546 | − | 1.14961i | 0.183513 | − | 0.0585135i | ||||
\(387\) | 33.4749 | − | 13.8658i | 1.70162 | − | 0.704836i | ||||
\(388\) | 13.0785 | − | 9.28410i | 0.663962 | − | 0.471329i | ||||
\(389\) | 6.59839 | − | 15.9299i | 0.334552 | − | 0.807679i | −0.663667 | − | 0.748028i | \(-0.731001\pi\) |
0.998219 | − | 0.0596517i | \(-0.0189990\pi\) | |||||||
\(390\) | −9.23473 | + | 7.79980i | −0.467619 | + | 0.394958i | ||||
\(391\) | −3.08280 | − | 3.08280i | −0.155904 | − | 0.155904i | ||||
\(392\) | 14.5403 | + | 10.9350i | 0.734394 | + | 0.552303i | ||||
\(393\) | −26.6230 | + | 26.6230i | −1.34295 | + | 1.34295i | ||||
\(394\) | 2.00669 | − | 23.8221i | 0.101096 | − | 1.20014i | ||||
\(395\) | 35.4376 | + | 14.6787i | 1.78306 | + | 0.738566i | ||||
\(396\) | 8.99264 | − | 14.3188i | 0.451897 | − | 0.719547i | ||||
\(397\) | 14.8643 | + | 35.8855i | 0.746017 | + | 1.80104i | 0.579440 | + | 0.815015i | \(0.303271\pi\) |
0.166577 | + | 0.986028i | \(0.446729\pi\) | |||||||
\(398\) | −12.6141 | − | 6.51483i | −0.632290 | − | 0.326559i | ||||
\(399\) | 7.37103i | 0.369013i | ||||||||
\(400\) | −23.2186 | + | 11.1943i | −1.16093 | + | 0.559714i | ||||
\(401\) | − | 38.7235i | − | 1.93376i | −0.255229 | − | 0.966881i | \(-0.582151\pi\) | ||
0.255229 | − | 0.966881i | \(-0.417849\pi\) | |||||||
\(402\) | 7.39223 | − | 14.3130i | 0.368691 | − | 0.713866i | ||||
\(403\) | −3.62845 | − | 8.75986i | −0.180746 | − | 0.436360i | ||||
\(404\) | 3.05592 | + | 13.3751i | 0.152038 | + | 0.665435i | ||||
\(405\) | 24.0677 | + | 9.96916i | 1.19593 | + | 0.495371i | ||||
\(406\) | −0.198047 | − | 0.0166828i | −0.00982891 | − | 0.000827954i | ||||
\(407\) | 5.83218 | − | 5.83218i | 0.289090 | − | 0.289090i | ||||
\(408\) | −39.1793 | − | 10.0924i | −1.93966 | − | 0.499648i | ||||
\(409\) | −12.0123 | − | 12.0123i | −0.593969 | − | 0.593969i | 0.344732 | − | 0.938701i | \(-0.387970\pi\) |
−0.938701 | + | 0.344732i | \(0.887970\pi\) | |||||||
\(410\) | −16.3447 | − | 19.3517i | −0.807209 | − | 0.955712i | ||||
\(411\) | 10.7435 | − | 25.9371i | 0.529938 | − | 1.27938i | ||||
\(412\) | −14.7172 | − | 2.49717i | −0.725063 | − | 0.123027i | ||||
\(413\) | 9.09287 | − | 3.76639i | 0.447431 | − | 0.185332i | ||||
\(414\) | −1.11956 | − | 3.51123i | −0.0550235 | − | 0.172568i | ||||
\(415\) | −0.832877 | −0.0408843 | ||||||||
\(416\) | −5.28378 | + | 2.02031i | −0.259059 | + | 0.0990537i | ||||
\(417\) | −5.18541 | −0.253930 | ||||||||
\(418\) | 4.15570 | + | 13.0333i | 0.203262 | + | 0.637481i | ||||
\(419\) | −9.87192 | + | 4.08908i | −0.482275 | + | 0.199765i | −0.610556 | − | 0.791973i | \(-0.709054\pi\) |
0.128281 | + | 0.991738i | \(0.459054\pi\) | |||||||
\(420\) | −2.15472 | + | 12.6989i | −0.105139 | + | 0.619644i | ||||
\(421\) | 5.24571 | − | 12.6643i | 0.255660 | − | 0.617219i | −0.742982 | − | 0.669312i | \(-0.766589\pi\) |
0.998642 | + | 0.0520927i | \(0.0165891\pi\) | |||||||
\(422\) | −1.46859 | − | 1.73876i | −0.0714898 | − | 0.0846417i | ||||
\(423\) | −16.5245 | − | 16.5245i | −0.803447 | − | 0.803447i | ||||
\(424\) | −21.3986 | + | 12.6324i | −1.03921 | + | 0.613482i | ||||
\(425\) | 25.7966 | − | 25.7966i | 1.25132 | − | 1.25132i | ||||
\(426\) | 14.1232 | + | 1.18969i | 0.684271 | + | 0.0576406i | ||||
\(427\) | −5.48244 | − | 2.27090i | −0.265314 | − | 0.109897i | ||||
\(428\) | −26.6684 | + | 6.09315i | −1.28906 | + | 0.294523i | ||||
\(429\) | 2.41564 | + | 5.83188i | 0.116628 | + | 0.281566i | ||||
\(430\) | −23.5063 | + | 45.5134i | −1.13358 | + | 2.19485i | ||||
\(431\) | 10.7286i | 0.516777i | 0.966041 | + | 0.258389i | \(0.0831915\pi\) | ||||
−0.966041 | + | 0.258389i | \(0.916809\pi\) | |||||||
\(432\) | −2.89469 | − | 2.58453i | −0.139271 | − | 0.124348i | ||||
\(433\) | − | 30.8828i | − | 1.48413i | −0.670327 | − | 0.742066i | \(-0.733846\pi\) | ||
0.670327 | − | 0.742066i | \(-0.266154\pi\) | |||||||
\(434\) | −8.97673 | − | 4.63622i | −0.430897 | − | 0.222546i | ||||
\(435\) | 0.610097 | + | 1.47290i | 0.0292519 | + | 0.0706204i | ||||
\(436\) | −22.2515 | − | 13.9746i | −1.06566 | − | 0.669264i | ||||
\(437\) | 2.75471 | + | 1.14104i | 0.131776 | + | 0.0545833i | ||||
\(438\) | −1.35942 | + | 16.1381i | −0.0649555 | + | 0.771109i | ||||
\(439\) | 27.9669 | − | 27.9669i | 1.33479 | − | 1.33479i | 0.433760 | − | 0.901028i | \(-0.357187\pi\) |
0.901028 | − | 0.433760i | \(-0.142813\pi\) | |||||||
\(440\) | 3.34957 | + | 23.6689i | 0.159685 | + | 1.12837i | ||||
\(441\) | −15.3913 | − | 15.3913i | −0.732921 | − | 0.732921i | ||||
\(442\) | 6.11654 | − | 5.16612i | 0.290934 | − | 0.245728i | ||||
\(443\) | 14.8919 | − | 35.9523i | 0.707536 | − | 1.70814i | 0.00146915 | − | 0.999999i | \(-0.499532\pi\) |
0.706067 | − | 0.708145i | \(-0.250468\pi\) | |||||||
\(444\) | −9.65699 | − | 13.6038i | −0.458300 | − | 0.645608i | ||||
\(445\) | 52.9984 | − | 21.9527i | 2.51237 | − | 1.04066i | ||||
\(446\) | 19.0083 | − | 6.06084i | 0.900071 | − | 0.286989i | ||||
\(447\) | 45.8047 | 2.16649 | ||||||||
\(448\) | −2.91220 | + | 5.27758i | −0.137589 | + | 0.249342i | ||||
\(449\) | −4.39701 | −0.207508 | −0.103754 | − | 0.994603i | \(-0.533085\pi\) | ||||
−0.103754 | + | 0.994603i | \(0.533085\pi\) | |||||||
\(450\) | 29.3816 | − | 9.36838i | 1.38506 | − | 0.441630i | ||||
\(451\) | −12.2209 | + | 5.06206i | −0.575460 | + | 0.238363i | ||||
\(452\) | 14.8055 | + | 20.8566i | 0.696394 | + | 0.981011i | ||||
\(453\) | −11.9782 | + | 28.9180i | −0.562786 | + | 1.35869i | ||||
\(454\) | −14.2629 | + | 12.0467i | −0.669392 | + | 0.565379i | ||||
\(455\) | −1.80235 | − | 1.80235i | −0.0844957 | − | 0.0844957i | ||||
\(456\) | 27.3969 | − | 3.87716i | 1.28298 | − | 0.181565i | ||||
\(457\) | −19.0391 | + | 19.0391i | −0.890610 | + | 0.890610i | −0.994580 | − | 0.103970i | \(-0.966845\pi\) |
0.103970 | + | 0.994580i | \(0.466845\pi\) | |||||||
\(458\) | 1.06335 | − | 12.6234i | 0.0496873 | − | 0.589854i | ||||
\(459\) | 5.07423 | + | 2.10182i | 0.236845 | + | 0.0981044i | ||||
\(460\) | 4.41232 | + | 2.77107i | 0.205725 | + | 0.129202i | ||||
\(461\) | −3.73508 | − | 9.01729i | −0.173960 | − | 0.419977i | 0.812719 | − | 0.582656i | \(-0.197986\pi\) |
−0.986679 | + | 0.162679i | \(0.947986\pi\) | |||||||
\(462\) | 5.97626 | + | 3.08656i | 0.278041 | + | 0.143600i | ||||
\(463\) | − | 9.43856i | − | 0.438647i | −0.975652 | − | 0.219323i | \(-0.929615\pi\) | ||
0.975652 | − | 0.219323i | \(-0.0703850\pi\) | |||||||
\(464\) | 0.0421656 | + | 0.744885i | 0.00195749 | + | 0.0345804i | ||||
\(465\) | 81.0434i | 3.75830i | ||||||||
\(466\) | −17.7060 | + | 34.2826i | −0.820213 | + | 1.58811i | ||||
\(467\) | −5.34491 | − | 12.9038i | −0.247333 | − | 0.597115i | 0.750643 | − | 0.660708i | \(-0.229744\pi\) |
−0.997976 | + | 0.0635935i | \(0.979744\pi\) | |||||||
\(468\) | 6.59791 | − | 1.50748i | 0.304988 | − | 0.0696833i | ||||
\(469\) | 3.13830 | + | 1.29993i | 0.144913 | + | 0.0600250i | ||||
\(470\) | 32.9220 | + | 2.77323i | 1.51858 | + | 0.127920i | ||||
\(471\) | 7.96705 | − | 7.96705i | 0.367102 | − | 0.367102i | ||||
\(472\) | −18.7819 | − | 31.8156i | −0.864509 | − | 1.46443i | ||||
\(473\) | 18.9152 | + | 18.9152i | 0.869722 | + | 0.869722i | ||||
\(474\) | −26.1428 | − | 30.9522i | −1.20078 | − | 1.42168i | ||||
\(475\) | −9.54810 | + | 23.0512i | −0.438097 | + | 1.05766i | ||||
\(476\) | 1.42716 | − | 8.41102i | 0.0654137 | − | 0.385518i | ||||
\(477\) | 27.4667 | − | 11.3771i | 1.25761 | − | 0.520920i | ||||
\(478\) | 0.738120 | + | 2.31493i | 0.0337608 | + | 0.105883i | ||||
\(479\) | 16.6325 | 0.759960 | 0.379980 | − | 0.924995i | \(-0.375931\pi\) | ||||
0.379980 | + | 0.924995i | \(0.375931\pi\) | |||||||
\(480\) | 48.3333 | + | 1.32910i | 2.20610 | + | 0.0606647i | ||||
\(481\) | 3.30140 | 0.150531 | ||||||||
\(482\) | −0.290614 | − | 0.911438i | −0.0132371 | − | 0.0415149i | ||||
\(483\) | 1.35447 | − | 0.561040i | 0.0616305 | − | 0.0255282i | ||||
\(484\) | −9.38269 | − | 1.59203i | −0.426486 | − | 0.0723649i | ||||
\(485\) | 10.3818 | − | 25.0638i | 0.471412 | − | 1.13809i | ||||
\(486\) | −20.4109 | − | 24.1659i | −0.925858 | − | 1.09619i | ||||
\(487\) | −16.4327 | − | 16.4327i | −0.744637 | − | 0.744637i | 0.228829 | − | 0.973467i | \(-0.426510\pi\) |
−0.973467 | + | 0.228829i | \(0.926510\pi\) | |||||||
\(488\) | −5.55681 | + | 21.5719i | −0.251545 | + | 0.976513i | ||||
\(489\) | 21.8705 | − | 21.8705i | 0.989019 | − | 0.989019i | ||||
\(490\) | 30.6644 | + | 2.58307i | 1.38528 | + | 0.116691i | ||||
\(491\) | −0.713027 | − | 0.295346i | −0.0321785 | − | 0.0133288i | 0.366536 | − | 0.930404i | \(-0.380544\pi\) |
−0.398715 | + | 0.917075i | \(0.630544\pi\) | |||||||
\(492\) | 5.95951 | + | 26.0835i | 0.268676 | + | 1.17593i | ||||
\(493\) | −0.404092 | − | 0.975565i | −0.0181994 | − | 0.0439372i | ||||
\(494\) | −2.51266 | + | 4.86506i | −0.113050 | + | 0.218889i | ||||
\(495\) | − | 28.5999i | − | 1.28547i | ||||||
\(496\) | −12.5103 | + | 35.8037i | −0.561730 | + | 1.60763i | ||||
\(497\) | 2.98864i | 0.134059i | ||||||||
\(498\) | 0.781640 | + | 0.403694i | 0.0350261 | + | 0.0180900i | ||||
\(499\) | 0.219821 | + | 0.530694i | 0.00984052 | + | 0.0237571i | 0.928723 | − | 0.370773i | \(-0.120907\pi\) |
−0.918883 | + | 0.394530i | \(0.870907\pi\) | |||||||
\(500\) | −5.19626 | + | 8.27390i | −0.232384 | + | 0.370020i | ||||
\(501\) | 6.87422 | + | 2.84739i | 0.307117 | + | 0.127212i | ||||
\(502\) | 2.87584 | − | 34.1400i | 0.128355 | − | 1.52374i | ||||
\(503\) | −4.17797 | + | 4.17797i | −0.186287 | + | 0.186287i | −0.794089 | − | 0.607802i | \(-0.792051\pi\) |
0.607802 | + | 0.794089i | \(0.292051\pi\) | |||||||
\(504\) | 4.33457 | − | 5.76366i | 0.193077 | − | 0.256734i | ||||
\(505\) | 16.4093 | + | 16.4093i | 0.730206 | + | 0.730206i | ||||
\(506\) | 2.07865 | − | 1.75566i | 0.0924070 | − | 0.0780485i | ||||
\(507\) | −0.966908 | + | 2.33432i | −0.0429419 | + | 0.103671i | ||||
\(508\) | −1.06235 | + | 0.754136i | −0.0471342 | + | 0.0334594i | ||||
\(509\) | −18.5398 | + | 7.67943i | −0.821762 | + | 0.340385i | −0.753636 | − | 0.657292i | \(-0.771702\pi\) |
−0.0681255 | + | 0.997677i | \(0.521702\pi\) | |||||||
\(510\) | −65.1992 | + | 20.7889i | −2.88707 | + | 0.920547i | ||||
\(511\) | −3.41502 | −0.151071 | ||||||||
\(512\) | 21.1477 | + | 8.04818i | 0.934607 | + | 0.355683i | ||||
\(513\) | −3.75626 | −0.165843 | ||||||||
\(514\) | −15.2748 | + | 4.87041i | −0.673745 | + | 0.214825i | ||||
\(515\) | −23.3273 | + | 9.66246i | −1.02792 | + | 0.425779i | ||||
\(516\) | 44.1205 | − | 31.3200i | 1.94230 | − | 1.37879i | ||||
\(517\) | 6.60243 | − | 15.9397i | 0.290375 | − | 0.701026i | ||||
\(518\) | 2.68752 | − | 2.26992i | 0.118083 | − | 0.0997346i | ||||
\(519\) | −34.0873 | − | 34.0873i | −1.49627 | − | 1.49627i | ||||
\(520\) | −5.75103 | + | 7.64711i | −0.252199 | + | 0.335348i | ||||
\(521\) | −7.06915 | + | 7.06915i | −0.309705 | + | 0.309705i | −0.844795 | − | 0.535090i | \(-0.820278\pi\) |
0.535090 | + | 0.844795i | \(0.320278\pi\) | |||||||
\(522\) | 0.0749255 | − | 0.889466i | 0.00327940 | − | 0.0389309i | ||||
\(523\) | −14.2455 | − | 5.90068i | −0.622913 | − | 0.258019i | 0.0488258 | − | 0.998807i | \(-0.484452\pi\) |
−0.671738 | + | 0.740788i | \(0.734452\pi\) | |||||||
\(524\) | −15.8504 | + | 25.2383i | −0.692429 | + | 1.10254i | ||||
\(525\) | 4.69472 | + | 11.3341i | 0.204895 | + | 0.494659i | ||||
\(526\) | 34.1423 | + | 17.6335i | 1.48867 | + | 0.768857i | ||||
\(527\) | − | 53.6783i | − | 2.33826i | ||||||
\(528\) | 8.32875 | − | 23.8363i | 0.362462 | − | 1.03734i | ||||
\(529\) | 22.4070i | 0.974215i | ||||||||
\(530\) | −19.2873 | + | 37.3444i | −0.837787 | + | 1.62214i | ||||
\(531\) | 16.9156 | + | 40.8378i | 0.734073 | + | 1.77221i | ||||
\(532\) | 1.29960 | + | 5.68804i | 0.0563446 | + | 0.246608i | ||||
\(533\) | −4.89165 | − | 2.02619i | −0.211881 | − | 0.0877639i | ||||
\(534\) | −60.3785 | − | 5.08607i | −2.61283 | − | 0.220096i | ||||
\(535\) | −32.7183 | + | 32.7183i | −1.41454 | + | 1.41454i | ||||
\(536\) | 3.18087 | − | 12.3483i | 0.137393 | − | 0.533366i | ||||
\(537\) | −45.1176 | − | 45.1176i | −1.94697 | − | 1.94697i | ||||
\(538\) | 1.24446 | + | 1.47341i | 0.0536526 | + | 0.0635231i | ||||
\(539\) | 6.14969 | − | 14.8467i | 0.264886 | − | 0.639491i | ||||
\(540\) | −6.47135 | − | 1.09804i | −0.278483 | − | 0.0472521i | ||||
\(541\) | −32.7816 | + | 13.5786i | −1.40939 | + | 0.583788i | −0.952171 | − | 0.305566i | \(-0.901154\pi\) |
−0.457218 | + | 0.889354i | \(0.651154\pi\) | |||||||
\(542\) | −6.07791 | − | 19.0619i | −0.261068 | − | 0.818777i | ||||
\(543\) | −56.4688 | −2.42331 | ||||||||
\(544\) | −32.0131 | − | 0.880315i | −1.37255 | − | 0.0377432i | ||||
\(545\) | −44.4444 | −1.90379 | ||||||||
\(546\) | 0.817879 | + | 2.56508i | 0.0350020 | + | 0.109775i | ||||
\(547\) | −5.03570 | + | 2.08586i | −0.215311 | + | 0.0891848i | −0.487732 | − | 0.872993i | \(-0.662176\pi\) |
0.272421 | + | 0.962178i | \(0.412176\pi\) | |||||||
\(548\) | 3.71750 | − | 21.9092i | 0.158804 | − | 0.935916i | ||||
\(549\) | 10.1990 | − | 24.6227i | 0.435285 | − | 1.05087i | ||||
\(550\) | 14.6912 | + | 17.3939i | 0.626433 | + | 0.741678i | ||||
\(551\) | 0.510653 | + | 0.510653i | 0.0217546 | + | 0.0217546i | ||||
\(552\) | −2.79775 | − | 4.73924i | −0.119080 | − | 0.201716i | ||||
\(553\) | 6.04099 | − | 6.04099i | 0.256889 | − | 0.256889i | ||||
\(554\) | −13.5397 | − | 1.14054i | −0.575249 | − | 0.0484570i | ||||
\(555\) | −26.0705 | − | 10.7987i | −1.10663 | − | 0.458381i | ||||
\(556\) | −4.00146 | + | 0.914246i | −0.169699 | + | 0.0387727i | ||||
\(557\) | −5.87867 | − | 14.1924i | −0.249087 | − | 0.601349i | 0.749040 | − | 0.662525i | \(-0.230515\pi\) |
−0.998127 | + | 0.0611754i | \(0.980515\pi\) | |||||||
\(558\) | 20.8221 | − | 40.3161i | 0.881470 | − | 1.70672i | ||||
\(559\) | 10.7072i | 0.452868i | ||||||||
\(560\) | 0.576222 | + | 10.1794i | 0.0243498 | + | 0.430157i | ||||
\(561\) | 35.7364i | 1.50879i | ||||||||
\(562\) | 5.84459 | + | 3.01856i | 0.246539 | + | 0.127330i | ||||
\(563\) | 2.88449 | + | 6.96376i | 0.121567 | + | 0.293488i | 0.972934 | − | 0.231082i | \(-0.0742264\pi\) |
−0.851368 | + | 0.524569i | \(0.824226\pi\) | |||||||
\(564\) | −29.5525 | − | 18.5599i | −1.24439 | − | 0.781512i | ||||
\(565\) | 39.9697 | + | 16.5560i | 1.68154 | + | 0.696516i | ||||
\(566\) | 0.0809489 | − | 0.960971i | 0.00340253 | − | 0.0403926i | ||||
\(567\) | 4.10278 | − | 4.10278i | 0.172301 | − | 0.172301i | ||||
\(568\) | 11.1083 | − | 1.57202i | 0.466093 | − | 0.0659607i | ||||
\(569\) | 11.7784 | + | 11.7784i | 0.493778 | + | 0.493778i | 0.909494 | − | 0.415717i | \(-0.136469\pi\) |
−0.415717 | + | 0.909494i | \(0.636469\pi\) | |||||||
\(570\) | 35.7554 | − | 30.1996i | 1.49763 | − | 1.26492i | ||||
\(571\) | −0.600163 | + | 1.44892i | −0.0251160 | + | 0.0606355i | −0.935940 | − | 0.352160i | \(-0.885447\pi\) |
0.910824 | + | 0.412795i | \(0.135447\pi\) | |||||||
\(572\) | 2.89232 | + | 4.07442i | 0.120934 | + | 0.170360i | ||||
\(573\) | 32.0159 | − | 13.2614i | 1.33749 | − | 0.554004i | ||||
\(574\) | −5.37521 | + | 1.71389i | −0.224357 | + | 0.0715365i | ||||
\(575\) | 4.96254 | 0.206952 | ||||||||
\(576\) | −23.7026 | − | 13.0792i | −0.987607 | − | 0.544968i | ||||
\(577\) | 41.9071 | 1.74462 | 0.872308 | − | 0.488956i | \(-0.162622\pi\) | ||||
0.872308 | + | 0.488956i | \(0.162622\pi\) | |||||||
\(578\) | 20.2787 | − | 6.46588i | 0.843481 | − | 0.268945i | ||||
\(579\) | −6.24643 | + | 2.58736i | −0.259593 | + | 0.107527i | ||||
\(580\) | 0.730487 | + | 1.02904i | 0.0303318 | + | 0.0427285i | ||||
\(581\) | −0.0709897 | + | 0.171384i | −0.00294515 | + | 0.00711022i | ||||
\(582\) | −21.8915 | + | 18.4899i | −0.907431 | + | 0.766431i | ||||
\(583\) | 15.5202 | + | 15.5202i | 0.642782 | + | 0.642782i | ||||
\(584\) | 1.79630 | + | 12.6931i | 0.0743315 | + | 0.525243i | ||||
\(585\) | 8.09471 | − | 8.09471i | 0.334675 | − | 0.334675i | ||||
\(586\) | 3.27546 | − | 38.8841i | 0.135308 | − | 1.60629i | ||||
\(587\) | 26.1601 | + | 10.8359i | 1.07974 | + | 0.447245i | 0.850420 | − | 0.526105i | \(-0.176348\pi\) |
0.229325 | + | 0.973350i | \(0.426348\pi\) | |||||||
\(588\) | −27.5260 | − | 17.2872i | −1.13515 | − | 0.712911i | ||||
\(589\) | 14.0488 | + | 33.9168i | 0.578871 | + | 1.39752i | ||||
\(590\) | −55.5241 | − | 28.6766i | −2.28589 | − | 1.18060i | ||||
\(591\) | 42.7117i | 1.75692i | ||||||||
\(592\) | −9.85058 | − | 8.79510i | −0.404856 | − | 0.361476i | ||||
\(593\) | 19.1797i | 0.787616i | 0.919193 | + | 0.393808i | \(0.128843\pi\) | ||||
−0.919193 | + | 0.393808i | \(0.871157\pi\) | |||||||
\(594\) | −1.57291 | + | 3.04549i | −0.0645371 | + | 0.124958i | ||||
\(595\) | −5.52220 | − | 13.3318i | −0.226388 | − | 0.546549i | ||||
\(596\) | 35.3464 | − | 8.07590i | 1.44785 | − | 0.330802i | ||||
\(597\) | 23.4341 | + | 9.70670i | 0.959092 | + | 0.397269i | ||||
\(598\) | 1.08523 | + | 0.0914163i | 0.0443785 | + | 0.00373829i | ||||
\(599\) | −1.73017 | + | 1.73017i | −0.0706930 | + | 0.0706930i | −0.741569 | − | 0.670876i | \(-0.765918\pi\) |
0.670876 | + | 0.741569i | \(0.265918\pi\) | |||||||
\(600\) | 39.6575 | − | 23.4113i | 1.61901 | − | 0.955761i | ||||
\(601\) | 10.7938 | + | 10.7938i | 0.440287 | + | 0.440287i | 0.892108 | − | 0.451821i | \(-0.149226\pi\) |
−0.451821 | + | 0.892108i | \(0.649226\pi\) | |||||||
\(602\) | 7.36192 | + | 8.71629i | 0.300049 | + | 0.355249i | ||||
\(603\) | −5.83821 | + | 14.0947i | −0.237750 | + | 0.573980i | ||||
\(604\) | −4.14474 | + | 24.4272i | −0.168647 | + | 0.993929i | ||||
\(605\) | −14.8719 | + | 6.16014i | −0.604629 | + | 0.250445i | ||||
\(606\) | −7.44629 | − | 23.3535i | −0.302485 | − | 0.948670i | ||||
\(607\) | −35.2161 | −1.42938 | −0.714688 | − | 0.699443i | \(-0.753431\pi\) | ||||
−0.714688 | + | 0.699443i | \(0.753431\pi\) | |||||||
\(608\) | 20.4580 | − | 7.82230i | 0.829680 | − | 0.317236i | ||||
\(609\) | 0.355086 | 0.0143888 | ||||||||
\(610\) | 11.4462 | + | 35.8983i | 0.463444 | + | 1.45348i | ||||
\(611\) | 6.38016 | − | 2.64275i | 0.258114 | − | 0.106914i | ||||
\(612\) | 37.7754 | + | 6.40963i | 1.52698 | + | 0.259094i | ||||
\(613\) | −3.45809 | + | 8.34856i | −0.139671 | + | 0.337195i | −0.978201 | − | 0.207660i | \(-0.933415\pi\) |
0.838530 | + | 0.544855i | \(0.183415\pi\) | |||||||
\(614\) | 0.00730407 | + | 0.00864781i | 0.000294768 | + | 0.000348997i | ||||
\(615\) | 32.0008 | + | 32.0008i | 1.29040 | + | 1.29040i | ||||
\(616\) | 5.15593 | + | 1.32814i | 0.207738 | + | 0.0535125i | ||||
\(617\) | −22.3416 | + | 22.3416i | −0.899439 | + | 0.899439i | −0.995386 | − | 0.0959474i | \(-0.969412\pi\) |
0.0959474 | + | 0.995386i | \(0.469412\pi\) | |||||||
\(618\) | 26.5756 | + | 2.23864i | 1.06903 | + | 0.0900511i | ||||
\(619\) | −18.1479 | − | 7.51712i | −0.729427 | − | 0.302139i | −0.0131106 | − | 0.999914i | \(-0.504173\pi\) |
−0.716317 | + | 0.697775i | \(0.754173\pi\) | |||||||
\(620\) | 14.2889 | + | 62.5392i | 0.573855 | + | 2.51164i | ||||
\(621\) | 0.285905 | + | 0.690235i | 0.0114730 | + | 0.0276982i | ||||
\(622\) | 13.4021 | − | 25.9495i | 0.537377 | − | 1.04048i | ||||
\(623\) | − | 12.7768i | − | 0.511892i | ||||||
\(624\) | 9.10378 | − | 4.38916i | 0.364443 | − | 0.175707i | ||||
\(625\) | − | 15.6943i | − | 0.627774i | ||||||
\(626\) | 25.3460 | + | 13.0905i | 1.01303 | + | 0.523200i | ||||
\(627\) | −9.35299 | − | 22.5801i | −0.373522 | − | 0.901763i | ||||
\(628\) | 4.74330 | − | 7.55267i | 0.189278 | − | 0.301384i | ||||
\(629\) | 17.2675 | + | 7.15244i | 0.688501 | + | 0.285187i | ||||
\(630\) | 1.02391 | − | 12.1552i | 0.0407935 | − | 0.484273i | ||||
\(631\) | 9.89145 | − | 9.89145i | 0.393772 | − | 0.393772i | −0.482257 | − | 0.876030i | \(-0.660183\pi\) |
0.876030 | + | 0.482257i | \(0.160183\pi\) | |||||||
\(632\) | −25.6310 | − | 19.2758i | −1.01955 | − | 0.766752i | ||||
\(633\) | 2.87529 | + | 2.87529i | 0.114283 | + | 0.114283i | ||||
\(634\) | 21.2453 | − | 17.9441i | 0.843759 | − | 0.712652i | ||||
\(635\) | −0.843297 | + | 2.03590i | −0.0334652 | + | 0.0807922i | ||||
\(636\) | 36.2016 | − | 25.6986i | 1.43549 | − | 1.01901i | ||||
\(637\) | 5.94266 | − | 2.46153i | 0.235457 | − | 0.0975293i | ||||
\(638\) | 0.627858 | − | 0.200194i | 0.0248571 | − | 0.00792574i | ||||
\(639\) | −13.4225 | −0.530987 | ||||||||
\(640\) | 37.5320 | − | 7.49608i | 1.48358 | − | 0.296308i | ||||
\(641\) | −40.9197 | −1.61623 | −0.808116 | − | 0.589023i | \(-0.799513\pi\) | ||||
−0.808116 | + | 0.589023i | \(0.799513\pi\) | |||||||
\(642\) | 46.5641 | − | 14.8470i | 1.83774 | − | 0.585966i | ||||
\(643\) | −5.77952 | + | 2.39395i | −0.227922 | + | 0.0944084i | −0.493722 | − | 0.869620i | \(-0.664364\pi\) |
0.265800 | + | 0.964028i | \(0.414364\pi\) | |||||||
\(644\) | 0.946295 | − | 0.671750i | 0.0372892 | − | 0.0264706i | ||||
\(645\) | 35.0230 | − | 84.5529i | 1.37903 | − | 3.32927i | ||||
\(646\) | −23.6823 | + | 20.0024i | −0.931766 | + | 0.786984i | ||||
\(647\) | 1.11481 | + | 1.11481i | 0.0438278 | + | 0.0438278i | 0.728681 | − | 0.684853i | \(-0.240134\pi\) |
−0.684853 | + | 0.728681i | \(0.740134\pi\) | |||||||
\(648\) | −17.4075 | − | 13.0913i | −0.683830 | − | 0.514276i | ||||
\(649\) | −23.0756 | + | 23.0756i | −0.905798 | + | 0.905798i | ||||
\(650\) | −0.764962 | + | 9.08112i | −0.0300043 | + | 0.356191i | ||||
\(651\) | 16.6766 | + | 6.90768i | 0.653608 | + | 0.270733i | ||||
\(652\) | 13.0209 | − | 20.7330i | 0.509939 | − | 0.811966i | ||||
\(653\) | 4.09045 | + | 9.87522i | 0.160072 | + | 0.386447i | 0.983484 | − | 0.180997i | \(-0.0579324\pi\) |
−0.823412 | + | 0.567444i | \(0.807932\pi\) | |||||||
\(654\) | 41.7103 | + | 21.5421i | 1.63100 | + | 0.842365i | ||||
\(655\) | 50.4101i | 1.96969i | ||||||||
\(656\) | 9.19763 | + | 19.0773i | 0.359107 | + | 0.744842i | ||||
\(657\) | − | 15.3375i | − | 0.598372i | ||||||
\(658\) | 3.37674 | − | 6.53811i | 0.131639 | − | 0.254882i | ||||
\(659\) | −15.6731 | − | 37.8382i | −0.610538 | − | 1.47397i | −0.862411 | − | 0.506208i | \(-0.831047\pi\) |
0.251874 | − | 0.967760i | \(-0.418953\pi\) | |||||||
\(660\) | −9.51281 | − | 41.6355i | −0.370286 | − | 1.62066i | ||||
\(661\) | −28.5642 | − | 11.8317i | −1.11102 | − | 0.460198i | −0.249729 | − | 0.968316i | \(-0.580342\pi\) |
−0.861288 | + | 0.508118i | \(0.830342\pi\) | |||||||
\(662\) | 3.98041 | + | 0.335296i | 0.154703 | + | 0.0130317i | ||||
\(663\) | −10.1146 | + | 10.1146i | −0.392817 | + | 0.392817i | ||||
\(664\) | 0.674349 | + | 0.173709i | 0.0261698 | + | 0.00674123i | ||||
\(665\) | 6.97843 | + | 6.97843i | 0.270612 | + | 0.270612i | ||||
\(666\) | 10.1946 | + | 12.0701i | 0.395034 | + | 0.467709i | ||||
\(667\) | 0.0549676 | − | 0.132704i | 0.00212836 | − | 0.00513830i | ||||
\(668\) | 5.80670 | + | 0.985264i | 0.224668 | + | 0.0381210i | ||||
\(669\) | −32.9318 | + | 13.6408i | −1.27322 | + | 0.527383i | ||||
\(670\) | −6.55213 | − | 20.5492i | −0.253131 | − | 0.793883i | ||||
\(671\) | 19.6762 | 0.759592 | ||||||||
\(672\) | 4.39315 | − | 9.83244i | 0.169469 | − | 0.379295i | ||||
\(673\) | 11.4897 | 0.442896 | 0.221448 | − | 0.975172i | \(-0.428922\pi\) | ||||
0.221448 | + | 0.975172i | \(0.428922\pi\) | |||||||
\(674\) | 3.55150 | + | 11.1384i | 0.136799 | + | 0.429035i | ||||
\(675\) | −5.77582 | + | 2.39242i | −0.222311 | + | 0.0920844i | ||||
\(676\) | −0.334572 | + | 1.97182i | −0.0128682 | + | 0.0758391i | ||||
\(677\) | −15.9473 | + | 38.5002i | −0.612905 | + | 1.47968i | 0.246889 | + | 0.969044i | \(0.420592\pi\) |
−0.859794 | + | 0.510641i | \(0.829408\pi\) | |||||||
\(678\) | −29.4862 | − | 34.9108i | −1.13241 | − | 1.34074i | ||||
\(679\) | −4.27259 | − | 4.27259i | −0.163967 | − | 0.163967i | ||||
\(680\) | −46.6474 | + | 27.5376i | −1.78884 | + | 1.05602i | ||||
\(681\) | 23.5858 | − | 23.5858i | 0.903809 | − | 0.903809i | ||||
\(682\) | 33.3818 | + | 2.81197i | 1.27825 | + | 0.107676i | ||||
\(683\) | −24.2171 | − | 10.0311i | −0.926643 | − | 0.383828i | −0.132239 | − | 0.991218i | \(-0.542217\pi\) |
−0.794404 | + | 0.607390i | \(0.792217\pi\) | |||||||
\(684\) | −25.5461 | + | 5.83672i | −0.976778 | + | 0.223173i | ||||
\(685\) | −14.3844 | − | 34.7269i | −0.549598 | − | 1.32685i | ||||
\(686\) | 6.56798 | − | 12.7170i | 0.250767 | − | 0.485539i | ||||
\(687\) | 22.6331i | 0.863505i | ||||||||
\(688\) | 28.5247 | − | 31.9478i | 1.08749 | − | 1.21800i | ||||
\(689\) | 8.78547i | 0.334700i | ||||||||
\(690\) | −8.27085 | − | 4.27165i | −0.314866 | − | 0.162619i | ||||
\(691\) | 3.00445 | + | 7.25338i | 0.114295 | + | 0.275932i | 0.970667 | − | 0.240427i | \(-0.0772873\pi\) |
−0.856373 | + | 0.516358i | \(0.827287\pi\) | |||||||
\(692\) | −32.3144 | − | 20.2944i | −1.22841 | − | 0.771478i | ||||
\(693\) | −5.88511 | − | 2.43769i | −0.223557 | − | 0.0926003i | ||||
\(694\) | −2.03443 | + | 24.1515i | −0.0772261 | + | 0.916777i | ||||
\(695\) | −4.90922 | + | 4.90922i | −0.186217 | + | 0.186217i | ||||
\(696\) | −0.186776 | − | 1.31980i | −0.00707971 | − | 0.0500269i | ||||
\(697\) | −21.1954 | − | 21.1954i | −0.802834 | − | 0.802834i | ||||
\(698\) | 19.0414 | − | 16.0826i | 0.720726 | − | 0.608736i | ||||
\(699\) | 26.3808 | − | 63.6889i | 0.997814 | − | 2.40894i | ||||
\(700\) | 5.62113 | + | 7.91850i | 0.212459 | + | 0.299291i | ||||
\(701\) | −27.9966 | + | 11.5966i | −1.05742 | + | 0.437997i | −0.842534 | − | 0.538643i | \(-0.818937\pi\) |
−0.214883 | + | 0.976640i | \(0.568937\pi\) | |||||||
\(702\) | −1.30716 | + | 0.416790i | −0.0493355 | + | 0.0157307i | ||||
\(703\) | −12.7825 | −0.482101 | ||||||||
\(704\) | 2.22448 | − | 19.8624i | 0.0838382 | − | 0.748592i | ||||
\(705\) | −59.0271 | −2.22309 | ||||||||
\(706\) | −14.6213 | + | 4.66201i | −0.550278 | + | 0.175457i | ||||
\(707\) | 4.77526 | − | 1.97798i | 0.179592 | − | 0.0743894i | ||||
\(708\) | 38.2089 | + | 53.8249i | 1.43598 | + | 2.02286i | ||||
\(709\) | 16.1114 | − | 38.8964i | 0.605077 | − | 1.46079i | −0.263218 | − | 0.964737i | \(-0.584784\pi\) |
0.868295 | − | 0.496049i | \(-0.165216\pi\) | |||||||
\(710\) | 14.4973 | − | 12.2446i | 0.544074 | − | 0.459533i | ||||
\(711\) | 27.1312 | + | 27.1312i | 1.01750 | + | 1.01750i | ||||
\(712\) | −47.4894 | + | 6.72061i | −1.77974 | + | 0.251865i | ||||
\(713\) | 5.16310 | − | 5.16310i | 0.193360 | − | 0.193360i | ||||
\(714\) | −1.27940 | + | 15.1882i | −0.0478805 | + | 0.568405i | ||||
\(715\) | 7.80825 | + | 3.23428i | 0.292012 | + | 0.120955i | ||||
\(716\) | −42.7709 | − | 26.8614i | −1.59842 | − | 1.00386i | ||||
\(717\) | −1.66124 | − | 4.01060i | −0.0620403 | − | 0.149778i | ||||
\(718\) | 41.6689 | + | 21.5208i | 1.55507 | + | 0.803148i | ||||
\(719\) | 33.4215i | 1.24641i | 0.782057 | + | 0.623206i | \(0.214170\pi\) | ||||
−0.782057 | + | 0.623206i | \(0.785830\pi\) | |||||||
\(720\) | −45.7174 | + | 2.58792i | −1.70379 | + | 0.0964460i | ||||
\(721\) | 5.62371i | 0.209438i | ||||||||
\(722\) | −2.60158 | + | 5.03722i | −0.0968206 | + | 0.187466i | ||||
\(723\) | 0.654067 | + | 1.57906i | 0.0243250 | + | 0.0587258i | ||||
\(724\) | −43.5756 | + | 9.95609i | −1.61947 | + | 0.370015i | ||||
\(725\) | 1.11045 | + | 0.459963i | 0.0412411 | + | 0.0170826i | ||||
\(726\) | 16.9428 | + | 1.42720i | 0.628807 | + | 0.0529685i | ||||
\(727\) | 21.0677 | − | 21.0677i | 0.781360 | − | 0.781360i | −0.198701 | − | 0.980060i | \(-0.563672\pi\) |
0.980060 | + | 0.198701i | \(0.0636722\pi\) | |||||||
\(728\) | 1.08339 | + | 1.83521i | 0.0401531 | + | 0.0680173i | ||||
\(729\) | 23.6262 | + | 23.6262i | 0.875044 | + | 0.875044i | ||||
\(730\) | 13.9916 | + | 16.5656i | 0.517851 | + | 0.613120i | ||||
\(731\) | −23.1971 | + | 56.0028i | −0.857977 | + | 2.07134i | ||||
\(732\) | 6.65777 | − | 39.2379i | 0.246078 | − | 1.45027i | ||||
\(733\) | 22.1766 | − | 9.18584i | 0.819111 | − | 0.339287i | 0.0665280 | − | 0.997785i | \(-0.478808\pi\) |
0.752583 | + | 0.658498i | \(0.228808\pi\) | |||||||
\(734\) | −4.14619 | − | 13.0035i | −0.153039 | − | 0.479968i | ||||
\(735\) | −54.9795 | −2.02795 | ||||||||
\(736\) | −2.99454 | − | 3.16389i | −0.110380 | − | 0.116622i | ||||
\(737\) | −11.2632 | −0.414885 | ||||||||
\(738\) | −7.69741 | − | 24.1410i | −0.283346 | − | 0.888644i | ||||
\(739\) | −1.24544 | + | 0.515879i | −0.0458144 | + | 0.0189769i | −0.405473 | − | 0.914107i | \(-0.632893\pi\) |
0.359659 | + | 0.933084i | \(0.382893\pi\) | |||||||
\(740\) | −22.0219 | − | 3.73661i | −0.809541 | − | 0.137361i | ||||
\(741\) | 3.74371 | − | 9.03812i | 0.137529 | − | 0.332024i | ||||
\(742\) | 6.04057 | + | 7.15185i | 0.221756 | + | 0.262553i | ||||
\(743\) | −8.22954 | − | 8.22954i | −0.301913 | − | 0.301913i | 0.539849 | − | 0.841762i | \(-0.318481\pi\) |
−0.841762 | + | 0.539849i | \(0.818481\pi\) | |||||||
\(744\) | 16.9028 | − | 65.6178i | 0.619688 | − | 2.40566i | ||||
\(745\) | 43.3651 | − | 43.3651i | 1.58877 | − | 1.58877i | ||||
\(746\) | −18.4870 | − | 1.55728i | −0.676855 | − | 0.0570160i | ||||
\(747\) | −0.769719 | − | 0.318828i | −0.0281625 | − | 0.0116653i | ||||
\(748\) | 6.30073 | + | 27.5769i | 0.230377 | + | 1.00831i | ||||
\(749\) | 3.94385 | + | 9.52131i | 0.144105 | + | 0.347901i | ||||
\(750\) | 8.01012 | − | 15.5093i | 0.292488 | − | 0.566321i | ||||
\(751\) | − | 16.8215i | − | 0.613824i | −0.951738 | − | 0.306912i | \(-0.900704\pi\) | ||
0.951738 | − | 0.306912i | \(-0.0992957\pi\) | |||||||
\(752\) | −26.0773 | − | 9.11177i | −0.950941 | − | 0.332272i | ||||
\(753\) | 61.2110i | 2.23065i | ||||||||
\(754\) | 0.234366 | + | 0.121043i | 0.00853511 | + | 0.00440813i | ||||
\(755\) | 16.0375 | + | 38.7180i | 0.583665 | + | 1.40909i | ||||
\(756\) | −0.777529 | + | 1.23804i | −0.0282785 | + | 0.0450272i | ||||
\(757\) | 44.4108 | + | 18.3956i | 1.61414 | + | 0.668598i | 0.993324 | − | 0.115359i | \(-0.0368018\pi\) |
0.620815 | + | 0.783957i | \(0.286802\pi\) | |||||||
\(758\) | −2.54513 | + | 30.2141i | −0.0924433 | + | 1.09743i | ||||
\(759\) | −3.43734 | + | 3.43734i | −0.124767 | + | 0.124767i | ||||
\(760\) | 22.2671 | − | 29.6084i | 0.807711 | − | 1.07401i | ||||
\(761\) | −36.1011 | − | 36.1011i | −1.30866 | − | 1.30866i | −0.922380 | − | 0.386285i | \(-0.873758\pi\) |
−0.386285 | − | 0.922380i | \(-0.626242\pi\) | |||||||
\(762\) | 1.77822 | − | 1.50191i | 0.0644180 | − | 0.0544085i | ||||
\(763\) | −3.78819 | + | 9.14550i | −0.137142 | + | 0.331089i | ||||
\(764\) | 22.3678 | − | 15.8783i | 0.809238 | − | 0.574457i | ||||
\(765\) | 59.8754 | − | 24.8012i | 2.16480 | − | 0.896690i | ||||
\(766\) | −30.9788 | + | 9.87763i | −1.11931 | + | 0.356893i | ||||
\(767\) | −13.0623 | −0.471653 | ||||||||
\(768\) | −38.8564 | − | 11.1568i | −1.40211 | − | 0.402585i | ||||
\(769\) | −22.3397 | −0.805591 | −0.402796 | − | 0.915290i | \(-0.631961\pi\) | ||||
−0.402796 | + | 0.915290i | \(0.631961\pi\) | |||||||