Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(406,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.406");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.j (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 10x^{8} - 8x^{7} + 50x^{6} - 42x^{5} + 124x^{4} - 12x^{3} + 96x^{2} - 36x + 36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 451.5 | ||
Root | \(-1.06141 - 1.83842i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 585.451 |
Dual form | 585.2.j.h.406.5 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.06141 | − | 1.83842i | 0.750533 | − | 1.29996i | −0.197031 | − | 0.980397i | \(-0.563130\pi\) |
0.947565 | − | 0.319564i | \(-0.103537\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.25320 | − | 2.17061i | −0.626600 | − | 1.08530i | ||||
\(5\) | 1.00000 | 0.447214 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.733534 | − | 1.27052i | −0.277250 | − | 0.480210i | 0.693451 | − | 0.720504i | \(-0.256090\pi\) |
−0.970700 | + | 0.240294i | \(0.922756\pi\) | |||||||
\(8\) | −1.07500 | −0.380070 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.06141 | − | 1.83842i | 0.335649 | − | 0.581360i | ||||
\(11\) | −0.172120 | + | 0.298120i | −0.0518960 | + | 0.0898865i | −0.890806 | − | 0.454383i | \(-0.849860\pi\) |
0.838910 | + | 0.544269i | \(0.183193\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.76679 | − | 3.14300i | 0.490018 | − | 0.871712i | ||||
\(14\) | −3.11433 | −0.832340 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.36538 | − | 2.36491i | 0.341345 | − | 0.591227i | ||||
\(17\) | −2.56781 | − | 4.44758i | −0.622786 | − | 1.07870i | −0.988964 | − | 0.148153i | \(-0.952667\pi\) |
0.366178 | − | 0.930545i | \(-0.380666\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.253200 | − | 0.438555i | −0.0580880 | − | 0.100611i | 0.835519 | − | 0.549461i | \(-0.185167\pi\) |
−0.893607 | + | 0.448850i | \(0.851834\pi\) | |||||||
\(20\) | −1.25320 | − | 2.17061i | −0.280224 | − | 0.485362i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.365380 | + | 0.632857i | 0.0778993 | + | 0.134926i | ||||
\(23\) | −0.537500 | + | 0.930977i | −0.112076 | + | 0.194122i | −0.916607 | − | 0.399789i | \(-0.869083\pi\) |
0.804531 | + | 0.593911i | \(0.202417\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | −3.90288 | − | 6.58413i | −0.765418 | − | 1.29125i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.83853 | + | 3.18442i | −0.347449 | + | 0.601800i | ||||
\(29\) | −4.02423 | + | 6.97018i | −0.747281 | + | 1.29433i | 0.201840 | + | 0.979419i | \(0.435308\pi\) |
−0.949121 | + | 0.314911i | \(0.898025\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 9.17129 | 1.64721 | 0.823607 | − | 0.567162i | \(-0.191959\pi\) | ||||
0.823607 | + | 0.567162i | \(0.191959\pi\) | |||||||
\(32\) | −3.97347 | − | 6.88225i | −0.702416 | − | 1.21662i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −10.9021 | −1.86969 | ||||||||
\(35\) | −0.733534 | − | 1.27052i | −0.123990 | − | 0.214757i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.36538 | + | 2.36491i | −0.224467 | + | 0.388788i | −0.956159 | − | 0.292847i | \(-0.905397\pi\) |
0.731692 | + | 0.681635i | \(0.238731\pi\) | |||||||
\(38\) | −1.07500 | −0.174388 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.07500 | −0.169972 | ||||||||
\(41\) | −3.06357 | + | 5.30625i | −0.478449 | + | 0.828697i | −0.999695 | − | 0.0247092i | \(-0.992134\pi\) |
0.521246 | + | 0.853406i | \(0.325467\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.93744 | + | 5.08780i | 0.447956 | + | 0.775882i | 0.998253 | − | 0.0590868i | \(-0.0188189\pi\) |
−0.550297 | + | 0.834969i | \(0.685486\pi\) | |||||||
\(44\) | 0.862801 | 0.130072 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.14102 | + | 1.97630i | 0.168234 | + | 0.291390i | ||||
\(47\) | 4.26369 | 0.621924 | 0.310962 | − | 0.950422i | \(-0.399349\pi\) | ||||
0.310962 | + | 0.950422i | \(0.399349\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.42386 | − | 4.19824i | 0.346265 | − | 0.599749i | ||||
\(50\) | 1.06141 | − | 1.83842i | 0.150107 | − | 0.259992i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −9.03636 | + | 0.103818i | −1.25312 | + | 0.0143969i | ||||
\(53\) | −4.07866 | −0.560248 | −0.280124 | − | 0.959964i | \(-0.590376\pi\) | ||||
−0.280124 | + | 0.959964i | \(0.590376\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.172120 | + | 0.298120i | −0.0232086 | + | 0.0401985i | ||||
\(56\) | 0.788548 | + | 1.36581i | 0.105374 | + | 0.182513i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.54276 | + | 14.7965i | 1.12172 | + | 1.94287i | ||||
\(59\) | 2.53063 | + | 4.38318i | 0.329460 | + | 0.570642i | 0.982405 | − | 0.186764i | \(-0.0597999\pi\) |
−0.652945 | + | 0.757406i | \(0.726467\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.58565 | + | 4.47847i | 0.331058 | + | 0.573410i | 0.982720 | − | 0.185100i | \(-0.0592610\pi\) |
−0.651661 | + | 0.758510i | \(0.725928\pi\) | |||||||
\(62\) | 9.73454 | − | 16.8607i | 1.23629 | − | 2.14131i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −11.4085 | −1.42606 | ||||||||
\(65\) | 1.76679 | − | 3.14300i | 0.219143 | − | 0.389842i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.598595 | + | 1.03680i | −0.0731300 | + | 0.126665i | −0.900272 | − | 0.435329i | \(-0.856632\pi\) |
0.827142 | + | 0.561994i | \(0.189965\pi\) | |||||||
\(68\) | −6.43597 | + | 11.1474i | −0.780476 | + | 1.35182i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.11433 | −0.372234 | ||||||||
\(71\) | −0.222886 | − | 0.386049i | −0.0264517 | − | 0.0458156i | 0.852497 | − | 0.522733i | \(-0.175087\pi\) |
−0.878948 | + | 0.476917i | \(0.841754\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.52634 | −0.880892 | −0.440446 | − | 0.897779i | \(-0.645180\pi\) | ||||
−0.440446 | + | 0.897779i | \(0.645180\pi\) | |||||||
\(74\) | 2.89847 | + | 5.02029i | 0.336940 | + | 0.583597i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.634620 | + | 1.09919i | −0.0727959 | + | 0.126086i | ||||
\(77\) | 0.505022 | 0.0575526 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.834915 | 0.0939352 | 0.0469676 | − | 0.998896i | \(-0.485044\pi\) | ||||
0.0469676 | + | 0.998896i | \(0.485044\pi\) | |||||||
\(80\) | 1.36538 | − | 2.36491i | 0.152654 | − | 0.264405i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.50342 | + | 11.2643i | 0.718183 | + | 1.24393i | ||||
\(83\) | 15.2506 | 1.67397 | 0.836985 | − | 0.547226i | \(-0.184316\pi\) | ||||
0.836985 | + | 0.547226i | \(0.184316\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.56781 | − | 4.44758i | −0.278518 | − | 0.482408i | ||||
\(86\) | 12.4714 | 1.34482 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.185028 | − | 0.320479i | 0.0197241 | − | 0.0341631i | ||||
\(89\) | −5.97494 | + | 10.3489i | −0.633343 | + | 1.09698i | 0.353521 | + | 0.935427i | \(0.384984\pi\) |
−0.986864 | + | 0.161555i | \(0.948349\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.28924 | + | 0.0607674i | −0.554463 | + | 0.00637016i | ||||
\(92\) | 2.69438 | 0.280908 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.52554 | − | 7.83847i | 0.466774 | − | 0.808477i | ||||
\(95\) | −0.253200 | − | 0.438555i | −0.0259778 | − | 0.0449948i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.700282 | + | 1.21292i | 0.0711029 | + | 0.123154i | 0.899385 | − | 0.437158i | \(-0.144015\pi\) |
−0.828282 | + | 0.560311i | \(0.810681\pi\) | |||||||
\(98\) | −5.14543 | − | 8.91215i | −0.519767 | − | 0.900263i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.25320 | − | 2.17061i | −0.125320 | − | 0.217061i | ||||
\(101\) | −5.04700 | + | 8.74167i | −0.502196 | + | 0.869828i | 0.497801 | + | 0.867291i | \(0.334141\pi\) |
−0.999997 | + | 0.00253716i | \(0.999192\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 15.5592 | 1.53309 | 0.766545 | − | 0.642190i | \(-0.221974\pi\) | ||||
0.766545 | + | 0.642190i | \(0.221974\pi\) | |||||||
\(104\) | −1.89929 | + | 3.37873i | −0.186241 | + | 0.331311i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.32915 | + | 7.49831i | −0.420484 | + | 0.728300i | ||||
\(107\) | −1.05685 | + | 1.83051i | −0.102169 | + | 0.176962i | −0.912578 | − | 0.408902i | \(-0.865912\pi\) |
0.810409 | + | 0.585865i | \(0.199245\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.12514 | 0.395117 | 0.197558 | − | 0.980291i | \(-0.436699\pi\) | ||||
0.197558 | + | 0.980291i | \(0.436699\pi\) | |||||||
\(110\) | 0.365380 | + | 0.632857i | 0.0348376 | + | 0.0603405i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.00621 | −0.378551 | ||||||||
\(113\) | 5.69573 | + | 9.86529i | 0.535809 | + | 0.928049i | 0.999124 | + | 0.0418549i | \(0.0133267\pi\) |
−0.463314 | + | 0.886194i | \(0.653340\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.537500 | + | 0.930977i | −0.0501221 | + | 0.0868140i | ||||
\(116\) | 20.1727 | 1.87299 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 10.7442 | 0.989083 | ||||||||
\(119\) | −3.76716 | + | 6.52490i | −0.345335 | + | 0.598137i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.44075 | + | 9.42365i | 0.494614 | + | 0.856696i | ||||
\(122\) | 10.9778 | 0.993881 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −11.4935 | − | 19.9073i | −1.03214 | − | 1.78773i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.5067 | − | 18.1982i | 0.932322 | − | 1.61483i | 0.152980 | − | 0.988229i | \(-0.451113\pi\) |
0.779342 | − | 0.626599i | \(-0.215554\pi\) | |||||||
\(128\) | −4.16216 | + | 7.20907i | −0.367886 | + | 0.637198i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.90288 | − | 6.58413i | −0.342305 | − | 0.577466i | ||||
\(131\) | −13.4726 | −1.17711 | −0.588555 | − | 0.808457i | \(-0.700303\pi\) | ||||
−0.588555 | + | 0.808457i | \(0.700303\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.371461 | + | 0.643390i | −0.0322098 | + | 0.0557889i | ||||
\(134\) | 1.27071 | + | 2.20094i | 0.109773 | + | 0.190132i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.76040 | + | 4.78115i | 0.236702 | + | 0.409980i | ||||
\(137\) | −5.10101 | − | 8.83521i | −0.435809 | − | 0.754843i | 0.561553 | − | 0.827441i | \(-0.310204\pi\) |
−0.997361 | + | 0.0725982i | \(0.976871\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.07601 | − | 10.5240i | −0.515360 | − | 0.892630i | −0.999841 | − | 0.0178282i | \(-0.994325\pi\) |
0.484481 | − | 0.874802i | \(-0.339009\pi\) | |||||||
\(140\) | −1.83853 | + | 3.18442i | −0.155384 | + | 0.269133i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.946296 | −0.0794114 | ||||||||
\(143\) | 0.632893 | + | 1.06769i | 0.0529252 | + | 0.0892844i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.02423 | + | 6.97018i | −0.334194 | + | 0.578842i | ||||
\(146\) | −7.98857 | + | 13.8366i | −0.661138 | + | 1.14513i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.84438 | 0.562604 | ||||||||
\(149\) | −0.333643 | − | 0.577886i | −0.0273331 | − | 0.0473423i | 0.852035 | − | 0.523484i | \(-0.175368\pi\) |
−0.879368 | + | 0.476142i | \(0.842035\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −15.9198 | −1.29553 | −0.647767 | − | 0.761839i | \(-0.724297\pi\) | ||||
−0.647767 | + | 0.761839i | \(0.724297\pi\) | |||||||
\(152\) | 0.272190 | + | 0.471446i | 0.0220775 | + | 0.0382393i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.536037 | − | 0.928444i | 0.0431951 | − | 0.0748161i | ||||
\(155\) | 9.17129 | 0.736656 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 17.4611 | 1.39355 | 0.696774 | − | 0.717290i | \(-0.254618\pi\) | ||||
0.696774 | + | 0.717290i | \(0.254618\pi\) | |||||||
\(158\) | 0.886190 | − | 1.53493i | 0.0705015 | − | 0.122112i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.97347 | − | 6.88225i | −0.314130 | − | 0.544089i | ||||
\(161\) | 1.57710 | 0.124293 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.27927 | − | 12.6081i | −0.570156 | − | 0.987539i | −0.996549 | − | 0.0830015i | \(-0.973549\pi\) |
0.426393 | − | 0.904538i | \(-0.359784\pi\) | |||||||
\(164\) | 15.3570 | 1.19918 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 16.1872 | − | 28.0370i | 1.25637 | − | 2.17610i | ||||
\(167\) | −7.76055 | + | 13.4417i | −0.600530 | + | 1.04015i | 0.392211 | + | 0.919875i | \(0.371710\pi\) |
−0.992741 | + | 0.120273i | \(0.961623\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.75694 | − | 11.1060i | −0.519765 | − | 0.854309i | ||||
\(170\) | −10.9021 | −0.836149 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.36240 | − | 12.7521i | 0.561378 | − | 0.972335i | ||||
\(173\) | 4.16295 | + | 7.21044i | 0.316503 | + | 0.548199i | 0.979756 | − | 0.200196i | \(-0.0641579\pi\) |
−0.663253 | + | 0.748395i | \(0.730825\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.733534 | − | 1.27052i | −0.0554499 | − | 0.0960421i | ||||
\(176\) | 0.470017 | + | 0.814094i | 0.0354289 | + | 0.0613646i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 12.6838 | + | 21.9689i | 0.950689 | + | 1.64664i | ||||
\(179\) | 12.6313 | − | 21.8781i | 0.944111 | − | 1.63525i | 0.186589 | − | 0.982438i | \(-0.440257\pi\) |
0.757522 | − | 0.652810i | \(-0.226410\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −21.6041 | −1.60582 | −0.802909 | − | 0.596102i | \(-0.796716\pi\) | ||||
−0.802909 | + | 0.596102i | \(0.796716\pi\) | |||||||
\(182\) | −5.50235 | + | 9.78836i | −0.407862 | + | 0.725561i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.577812 | − | 1.00080i | 0.0425968 | − | 0.0737799i | ||||
\(185\) | −1.36538 | + | 2.36491i | −0.100385 | + | 0.173871i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.76788 | 0.129280 | ||||||||
\(188\) | −5.34326 | − | 9.25480i | −0.389697 | − | 0.674975i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.07500 | −0.0779886 | ||||||||
\(191\) | −4.65724 | − | 8.06657i | −0.336986 | − | 0.583676i | 0.646878 | − | 0.762593i | \(-0.276074\pi\) |
−0.983864 | + | 0.178917i | \(0.942741\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.80004 | − | 6.58186i | 0.273533 | − | 0.473772i | −0.696231 | − | 0.717818i | \(-0.745141\pi\) |
0.969764 | + | 0.244045i | \(0.0784745\pi\) | |||||||
\(194\) | 2.97316 | 0.213460 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −12.1503 | −0.867879 | ||||||||
\(197\) | −5.47163 | + | 9.47715i | −0.389838 | + | 0.675219i | −0.992427 | − | 0.122832i | \(-0.960802\pi\) |
0.602590 | + | 0.798051i | \(0.294136\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.09839 | + | 12.2948i | 0.503192 | + | 0.871554i | 0.999993 | + | 0.00368935i | \(0.00117436\pi\) |
−0.496802 | + | 0.867864i | \(0.665492\pi\) | |||||||
\(200\) | −1.07500 | −0.0760139 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 10.7139 | + | 18.5571i | 0.753829 | + | 1.30567i | ||||
\(203\) | 11.8076 | 0.828734 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.06357 | + | 5.30625i | −0.213969 | + | 0.370605i | ||||
\(206\) | 16.5147 | − | 28.6043i | 1.15064 | − | 1.99296i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.02058 | − | 8.46968i | −0.348115 | − | 0.587267i | ||||
\(209\) | 0.174322 | 0.0120581 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.16489 | + | 8.94586i | −0.355566 | + | 0.615858i | −0.987215 | − | 0.159396i | \(-0.949045\pi\) |
0.631649 | + | 0.775255i | \(0.282379\pi\) | |||||||
\(212\) | 5.11138 | + | 8.85317i | 0.351051 | + | 0.608038i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.24351 | + | 3.88586i | 0.153363 | + | 0.265632i | ||||
\(215\) | 2.93744 | + | 5.08780i | 0.200332 | + | 0.346985i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.72745 | − | 11.6523i | −0.456689 | − | 0.791009i | ||||
\(218\) | 4.37848 | − | 7.58375i | 0.296548 | − | 0.513637i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.862801 | 0.0581700 | ||||||||
\(221\) | −18.5155 | + | 0.212723i | −1.24549 | + | 0.0143093i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.2531 | + | 21.2229i | −0.820526 | + | 1.42119i | 0.0847654 | + | 0.996401i | \(0.472986\pi\) |
−0.905291 | + | 0.424791i | \(0.860347\pi\) | |||||||
\(224\) | −5.82934 | + | 10.0967i | −0.389489 | + | 0.674615i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 24.1821 | 1.60857 | ||||||||
\(227\) | −1.50262 | − | 2.60261i | −0.0997323 | − | 0.172741i | 0.811842 | − | 0.583878i | \(-0.198465\pi\) |
−0.911574 | + | 0.411136i | \(0.865132\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −21.9741 | −1.45209 | −0.726046 | − | 0.687646i | \(-0.758644\pi\) | ||||
−0.726046 | + | 0.687646i | \(0.758644\pi\) | |||||||
\(230\) | 1.14102 | + | 1.97630i | 0.0752366 | + | 0.130314i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.32605 | − | 7.49293i | 0.284019 | − | 0.491935i | ||||
\(233\) | 7.22372 | 0.473242 | 0.236621 | − | 0.971602i | \(-0.423960\pi\) | ||||
0.236621 | + | 0.971602i | \(0.423960\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.26369 | 0.278133 | ||||||||
\(236\) | 6.34278 | − | 10.9860i | 0.412880 | − | 0.715128i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 7.99702 | + | 13.8513i | 0.518370 | + | 0.897843i | ||||
\(239\) | 0.492963 | 0.0318871 | 0.0159436 | − | 0.999873i | \(-0.494925\pi\) | ||||
0.0159436 | + | 0.999873i | \(0.494925\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.1384 | + | 22.7564i | 0.846320 | + | 1.46587i | 0.884470 | + | 0.466597i | \(0.154520\pi\) |
−0.0381504 | + | 0.999272i | \(0.512147\pi\) | |||||||
\(242\) | 23.0996 | 1.48490 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.48066 | − | 11.2248i | 0.414882 | − | 0.718597i | ||||
\(245\) | 2.42386 | − | 4.19824i | 0.154855 | − | 0.268216i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.82573 | + | 0.0209756i | −0.116168 | + | 0.00133465i | ||||
\(248\) | −9.85914 | −0.626056 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.06141 | − | 1.83842i | 0.0671297 | − | 0.116272i | ||||
\(251\) | 10.7771 | + | 18.6665i | 0.680246 | + | 1.17822i | 0.974906 | + | 0.222619i | \(0.0714605\pi\) |
−0.294659 | + | 0.955602i | \(0.595206\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.185028 | − | 0.320479i | −0.0116326 | − | 0.0201483i | ||||
\(254\) | −22.3040 | − | 38.6316i | −1.39948 | − | 2.42396i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2.57290 | − | 4.45640i | −0.160806 | − | 0.278525i | ||||
\(257\) | −6.40603 | + | 11.0956i | −0.399597 | + | 0.692122i | −0.993676 | − | 0.112284i | \(-0.964183\pi\) |
0.594079 | + | 0.804407i | \(0.297517\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.00621 | 0.248934 | ||||||||
\(260\) | −9.03636 | + | 0.103818i | −0.560411 | + | 0.00643850i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −14.3000 | + | 24.7684i | −0.883460 | + | 1.53020i | ||||
\(263\) | 12.2190 | − | 21.1639i | 0.753454 | − | 1.30502i | −0.192685 | − | 0.981261i | \(-0.561720\pi\) |
0.946139 | − | 0.323760i | \(-0.104947\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.07866 | −0.250550 | ||||||||
\(266\) | 0.788548 | + | 1.36581i | 0.0483490 | + | 0.0837429i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.00064 | 0.183293 | ||||||||
\(269\) | −11.9134 | − | 20.6346i | −0.726372 | − | 1.25811i | −0.958407 | − | 0.285405i | \(-0.907872\pi\) |
0.232035 | − | 0.972707i | \(-0.425461\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.3877 | + | 17.9920i | −0.631007 | + | 1.09294i | 0.356339 | + | 0.934357i | \(0.384025\pi\) |
−0.987346 | + | 0.158579i | \(0.949309\pi\) | |||||||
\(272\) | −14.0242 | −0.850340 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −21.6571 | −1.30836 | ||||||||
\(275\) | −0.172120 | + | 0.298120i | −0.0103792 | + | 0.0179773i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.234055 | − | 0.405396i | −0.0140630 | − | 0.0243579i | 0.858908 | − | 0.512129i | \(-0.171143\pi\) |
−0.872971 | + | 0.487772i | \(0.837810\pi\) | |||||||
\(278\) | −25.7966 | −1.54718 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.788548 | + | 1.36581i | 0.0471248 | + | 0.0816225i | ||||
\(281\) | −24.5123 | −1.46228 | −0.731141 | − | 0.682226i | \(-0.761012\pi\) | ||||
−0.731141 | + | 0.682226i | \(0.761012\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.4475 | + | 19.8276i | −0.680481 | + | 1.17863i | 0.294354 | + | 0.955697i | \(0.404896\pi\) |
−0.974834 | + | 0.222930i | \(0.928438\pi\) | |||||||
\(284\) | −0.558641 | + | 0.967594i | −0.0331492 | + | 0.0574162i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.63462 | − | 0.0302688i | 0.155788 | − | 0.00178983i | ||||
\(287\) | 8.98891 | 0.530599 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.68733 | + | 8.11870i | −0.275726 | + | 0.477571i | ||||
\(290\) | 8.54276 | + | 14.7965i | 0.501648 | + | 0.868880i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 9.43201 | + | 16.3367i | 0.551967 | + | 0.956034i | ||||
\(293\) | −9.62021 | − | 16.6627i | −0.562019 | − | 0.973445i | −0.997320 | − | 0.0731601i | \(-0.976692\pi\) |
0.435302 | − | 0.900285i | \(-0.356642\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.53063 | + | 4.38318i | 0.147339 | + | 0.255199i | ||||
\(296\) | 1.46778 | − | 2.54227i | 0.0853131 | − | 0.147767i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.41653 | −0.0820575 | ||||||||
\(299\) | 1.97642 | + | 3.33420i | 0.114299 | + | 0.192822i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.30943 | − | 7.46414i | 0.248391 | − | 0.430226i | ||||
\(302\) | −16.8975 | + | 29.2673i | −0.972341 | + | 1.68414i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.38286 | −0.0793122 | ||||||||
\(305\) | 2.58565 | + | 4.47847i | 0.148054 | + | 0.256437i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −16.4739 | −0.940216 | −0.470108 | − | 0.882609i | \(-0.655785\pi\) | ||||
−0.470108 | + | 0.882609i | \(0.655785\pi\) | |||||||
\(308\) | −0.632893 | − | 1.09620i | −0.0360624 | − | 0.0624620i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 9.73454 | − | 16.8607i | 0.552885 | − | 0.957625i | ||||
\(311\) | 9.54562 | 0.541283 | 0.270641 | − | 0.962680i | \(-0.412764\pi\) | ||||
0.270641 | + | 0.962680i | \(0.412764\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 21.9067 | 1.23824 | 0.619120 | − | 0.785297i | \(-0.287490\pi\) | ||||
0.619120 | + | 0.785297i | \(0.287490\pi\) | |||||||
\(314\) | 18.5335 | − | 32.1009i | 1.04590 | − | 1.81156i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.04631 | − | 1.81227i | −0.0588598 | − | 0.101948i | ||||
\(317\) | −27.1321 | −1.52389 | −0.761945 | − | 0.647642i | \(-0.775755\pi\) | ||||
−0.761945 | + | 0.647642i | \(0.775755\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.38530 | − | 2.39941i | −0.0775618 | − | 0.134341i | ||||
\(320\) | −11.4085 | −0.637752 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.67395 | − | 2.89937i | 0.0932857 | − | 0.161576i | ||||
\(323\) | −1.30034 | + | 2.25225i | −0.0723528 | + | 0.125319i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.76679 | − | 3.14300i | 0.0980036 | − | 0.174342i | ||||
\(326\) | −30.9053 | −1.71168 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.29333 | − | 5.70422i | 0.181844 | − | 0.314963i | ||||
\(329\) | −3.12756 | − | 5.41710i | −0.172428 | − | 0.298654i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.568970 | − | 0.985485i | −0.0312734 | − | 0.0541672i | 0.849965 | − | 0.526839i | \(-0.176623\pi\) |
−0.881239 | + | 0.472672i | \(0.843290\pi\) | |||||||
\(332\) | −19.1120 | − | 33.1030i | −1.04891 | − | 1.81676i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 16.4743 | + | 28.5344i | 0.901435 | + | 1.56133i | ||||
\(335\) | −0.598595 | + | 1.03680i | −0.0327047 | + | 0.0566463i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −26.9676 | −1.46902 | −0.734510 | − | 0.678598i | \(-0.762588\pi\) | ||||
−0.734510 | + | 0.678598i | \(0.762588\pi\) | |||||||
\(338\) | −27.5895 | + | 0.634028i | −1.50067 | + | 0.0344866i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.43597 | + | 11.1474i | −0.349039 | + | 0.604554i | ||||
\(341\) | −1.57856 | + | 2.73414i | −0.0854837 | + | 0.148062i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.3814 | −0.938507 | ||||||||
\(344\) | −3.15775 | − | 5.46938i | −0.170254 | − | 0.294889i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 17.6744 | 0.950184 | ||||||||
\(347\) | 3.26695 | + | 5.65853i | 0.175379 | + | 0.303766i | 0.940292 | − | 0.340368i | \(-0.110552\pi\) |
−0.764913 | + | 0.644133i | \(0.777218\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.528839 | − | 0.915976i | 0.0283081 | − | 0.0490311i | −0.851524 | − | 0.524315i | \(-0.824321\pi\) |
0.879832 | + | 0.475284i | \(0.157655\pi\) | |||||||
\(350\) | −3.11433 | −0.166468 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.73564 | 0.145810 | ||||||||
\(353\) | 12.2843 | − | 21.2771i | 0.653828 | − | 1.13246i | −0.328358 | − | 0.944553i | \(-0.606495\pi\) |
0.982186 | − | 0.187910i | \(-0.0601715\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.222886 | − | 0.386049i | −0.0118295 | − | 0.0204894i | ||||
\(356\) | 29.9512 | 1.58741 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −26.8142 | − | 46.4435i | −1.41717 | − | 2.45462i | ||||
\(359\) | 7.44704 | 0.393040 | 0.196520 | − | 0.980500i | \(-0.437036\pi\) | ||||
0.196520 | + | 0.980500i | \(0.437036\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.37178 | − | 16.2324i | 0.493252 | − | 0.854337i | ||||
\(362\) | −22.9309 | + | 39.7174i | −1.20522 | + | 2.08750i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.76037 | + | 11.4047i | 0.354340 | + | 0.597768i | ||||
\(365\) | −7.52634 | −0.393947 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.0222907 | − | 0.0386086i | 0.00116356 | − | 0.00201535i | −0.865443 | − | 0.501007i | \(-0.832963\pi\) |
0.866607 | + | 0.498992i | \(0.166296\pi\) | |||||||
\(368\) | 1.46778 | + | 2.54227i | 0.0765135 | + | 0.132525i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 2.89847 | + | 5.02029i | 0.150684 | + | 0.260993i | ||||
\(371\) | 2.99184 | + | 5.18201i | 0.155328 | + | 0.269037i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.67118 | + | 2.89457i | 0.0865304 | + | 0.149875i | 0.906042 | − | 0.423187i | \(-0.139089\pi\) |
−0.819512 | + | 0.573062i | \(0.805755\pi\) | |||||||
\(374\) | 1.87646 | − | 3.25012i | 0.0970292 | − | 0.168060i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.58347 | −0.236374 | ||||||||
\(377\) | 14.7973 | + | 24.9630i | 0.762101 | + | 1.28566i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.1095 | − | 22.7064i | 0.673391 | − | 1.16635i | −0.303545 | − | 0.952817i | \(-0.598170\pi\) |
0.976936 | − | 0.213530i | \(-0.0684962\pi\) | |||||||
\(380\) | −0.634620 | + | 1.09919i | −0.0325553 | + | 0.0563875i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −19.7730 | −1.01168 | ||||||||
\(383\) | −6.44955 | − | 11.1710i | −0.329557 | − | 0.570809i | 0.652867 | − | 0.757472i | \(-0.273566\pi\) |
−0.982424 | + | 0.186663i | \(0.940233\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.505022 | 0.0257383 | ||||||||
\(386\) | −8.06682 | − | 13.9721i | −0.410591 | − | 0.711164i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.75519 | − | 3.04007i | 0.0891061 | − | 0.154336i | ||||
\(389\) | 5.08578 | 0.257859 | 0.128930 | − | 0.991654i | \(-0.458846\pi\) | ||||
0.128930 | + | 0.991654i | \(0.458846\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.52080 | 0.279199 | ||||||||
\(392\) | −2.60564 | + | 4.51311i | −0.131605 | + | 0.227946i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 11.6153 | + | 20.1184i | 0.585172 | + | 1.01355i | ||||
\(395\) | 0.834915 | 0.0420091 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.53209 | + | 9.58187i | 0.277648 | + | 0.480900i | 0.970800 | − | 0.239891i | \(-0.0771119\pi\) |
−0.693152 | + | 0.720791i | \(0.743779\pi\) | |||||||
\(398\) | 30.1373 | 1.51065 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.36538 | − | 2.36491i | 0.0682690 | − | 0.118245i | ||||
\(401\) | 11.5476 | − | 20.0011i | 0.576662 | − | 0.998807i | −0.419197 | − | 0.907895i | \(-0.637688\pi\) |
0.995859 | − | 0.0909120i | \(-0.0289782\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 16.2037 | − | 28.8254i | 0.807164 | − | 1.43590i | ||||
\(404\) | 25.2996 | 1.25870 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 12.5328 | − | 21.7074i | 0.621992 | − | 1.07732i | ||||
\(407\) | −0.470017 | − | 0.814094i | −0.0232979 | − | 0.0403531i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.21057 | − | 12.4891i | −0.356540 | − | 0.617545i | 0.630840 | − | 0.775913i | \(-0.282710\pi\) |
−0.987380 | + | 0.158367i | \(0.949377\pi\) | |||||||
\(410\) | 6.50342 | + | 11.2643i | 0.321181 | + | 0.556302i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −19.4987 | − | 33.7728i | −0.960634 | − | 1.66387i | ||||
\(413\) | 3.71261 | − | 6.43043i | 0.182686 | − | 0.316421i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 15.2506 | 0.748622 | ||||||||
\(416\) | −28.6512 | + | 0.329170i | −1.40474 | + | 0.0161389i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.185028 | − | 0.320479i | 0.00905003 | − | 0.0156751i | ||||
\(419\) | 7.58423 | − | 13.1363i | 0.370514 | − | 0.641749i | −0.619131 | − | 0.785288i | \(-0.712515\pi\) |
0.989645 | + | 0.143539i | \(0.0458483\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.7707 | 0.524932 | 0.262466 | − | 0.964941i | \(-0.415464\pi\) | ||||
0.262466 | + | 0.964941i | \(0.415464\pi\) | |||||||
\(422\) | 10.9642 | + | 18.9905i | 0.533728 | + | 0.924444i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.38456 | 0.212933 | ||||||||
\(425\) | −2.56781 | − | 4.44758i | −0.124557 | − | 0.215740i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.79332 | − | 6.57022i | 0.183572 | − | 0.317955i | ||||
\(428\) | 5.29776 | 0.256077 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 12.4714 | 0.601423 | ||||||||
\(431\) | 20.6570 | − | 35.7789i | 0.995010 | − | 1.72341i | 0.411100 | − | 0.911590i | \(-0.365145\pi\) |
0.583910 | − | 0.811818i | \(-0.301522\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.22620 | − | 15.9802i | −0.443383 | − | 0.767962i | 0.554555 | − | 0.832147i | \(-0.312888\pi\) |
−0.997938 | + | 0.0641854i | \(0.979555\pi\) | |||||||
\(434\) | −28.5625 | −1.37104 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −5.16963 | − | 8.95405i | −0.247580 | − | 0.428821i | ||||
\(437\) | 0.544379 | 0.0260412 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.94070 | + | 6.82548i | −0.188079 | + | 0.325763i | −0.944610 | − | 0.328196i | \(-0.893559\pi\) |
0.756531 | + | 0.653958i | \(0.226893\pi\) | |||||||
\(440\) | 0.185028 | − | 0.320479i | 0.00882088 | − | 0.0152782i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −19.2616 | + | 34.2652i | −0.916180 | + | 1.62983i | ||||
\(443\) | 38.2769 | 1.81859 | 0.909294 | − | 0.416154i | \(-0.136622\pi\) | ||||
0.909294 | + | 0.416154i | \(0.136622\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.97494 | + | 10.3489i | −0.283239 | + | 0.490585i | ||||
\(446\) | 26.0111 | + | 45.0526i | 1.23166 | + | 2.13330i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 8.36848 | + | 14.4946i | 0.395374 | + | 0.684807i | ||||
\(449\) | −6.27219 | − | 10.8638i | −0.296003 | − | 0.512692i | 0.679215 | − | 0.733940i | \(-0.262320\pi\) |
−0.975218 | + | 0.221247i | \(0.928987\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.05460 | − | 1.82662i | −0.0496591 | − | 0.0860121i | ||||
\(452\) | 14.2758 | − | 24.7264i | 0.671476 | − | 1.16303i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6.37960 | −0.299410 | ||||||||
\(455\) | −5.28924 | + | 0.0607674i | −0.247963 | + | 0.00284882i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 10.1343 | − | 17.5532i | 0.474064 | − | 0.821103i | −0.525495 | − | 0.850797i | \(-0.676120\pi\) |
0.999559 | + | 0.0296935i | \(0.00945313\pi\) | |||||||
\(458\) | −23.3237 | + | 40.3977i | −1.08984 | + | 1.88766i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.69438 | 0.125626 | ||||||||
\(461\) | −6.25006 | − | 10.8254i | −0.291094 | − | 0.504190i | 0.682975 | − | 0.730442i | \(-0.260686\pi\) |
−0.974069 | + | 0.226252i | \(0.927353\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −15.0923 | −0.701400 | −0.350700 | − | 0.936488i | \(-0.614056\pi\) | ||||
−0.350700 | + | 0.936488i | \(0.614056\pi\) | |||||||
\(464\) | 10.9892 | + | 19.0339i | 0.510162 | + | 0.883626i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.66736 | − | 13.2803i | 0.355184 | − | 0.615196i | ||||
\(467\) | 14.8821 | 0.688662 | 0.344331 | − | 0.938848i | \(-0.388106\pi\) | ||||
0.344331 | + | 0.938848i | \(0.388106\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.75636 | 0.0811011 | ||||||||
\(470\) | 4.52554 | − | 7.83847i | 0.208748 | − | 0.361562i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.72043 | − | 4.71192i | −0.125218 | − | 0.216884i | ||||
\(473\) | −2.02236 | −0.0929884 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.253200 | − | 0.438555i | −0.0116176 | − | 0.0201223i | ||||
\(476\) | 18.8840 | 0.865546 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.523238 | − | 0.906275i | 0.0239324 | − | 0.0414521i | ||||
\(479\) | −0.152080 | + | 0.263411i | −0.00694873 | + | 0.0120355i | −0.869479 | − | 0.493970i | \(-0.835545\pi\) |
0.862530 | + | 0.506006i | \(0.168879\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.02058 | + | 8.46968i | 0.228919 | + | 0.386184i | ||||
\(482\) | 55.7812 | 2.54076 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 13.6367 | − | 23.6194i | 0.619850 | − | 1.07361i | ||||
\(485\) | 0.700282 | + | 1.21292i | 0.0317982 | + | 0.0550761i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −20.8582 | − | 36.1274i | −0.945174 | − | 1.63709i | −0.755402 | − | 0.655261i | \(-0.772559\pi\) |
−0.189772 | − | 0.981828i | \(-0.560775\pi\) | |||||||
\(488\) | −2.77957 | − | 4.81435i | −0.125825 | − | 0.217936i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.14543 | − | 8.91215i | −0.232447 | − | 0.402610i | ||||
\(491\) | −20.2798 | + | 35.1256i | −0.915213 | + | 1.58520i | −0.108624 | + | 0.994083i | \(0.534644\pi\) |
−0.806589 | + | 0.591112i | \(0.798689\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 41.3339 | 1.86159 | ||||||||
\(494\) | −1.89929 | + | 3.37873i | −0.0854532 | + | 0.152016i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.5223 | − | 21.6893i | 0.562268 | − | 0.973877i | ||||
\(497\) | −0.326988 | + | 0.566361i | −0.0146674 | + | 0.0254047i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 21.7238 | 0.972493 | 0.486246 | − | 0.873822i | \(-0.338366\pi\) | ||||
0.486246 | + | 0.873822i | \(0.338366\pi\) | |||||||
\(500\) | −1.25320 | − | 2.17061i | −0.0560448 | − | 0.0970724i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 45.7560 | 2.04219 | ||||||||
\(503\) | −12.2136 | − | 21.1545i | −0.544575 | − | 0.943232i | −0.998634 | − | 0.0522601i | \(-0.983358\pi\) |
0.454058 | − | 0.890972i | \(-0.349976\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.04700 | + | 8.74167i | −0.224589 | + | 0.388999i | ||||
\(506\) | −0.785567 | −0.0349227 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −52.6681 | −2.33677 | ||||||||
\(509\) | −15.7512 | + | 27.2819i | −0.698161 | + | 1.20925i | 0.270942 | + | 0.962596i | \(0.412665\pi\) |
−0.969103 | + | 0.246655i | \(0.920669\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.52083 | + | 9.56235i | 0.244227 | + | 0.423013i | ||||
\(512\) | −27.5723 | −1.21854 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.5989 | + | 23.5540i | 0.599821 | + | 1.03892i | ||||
\(515\) | 15.5592 | 0.685619 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.733865 | + | 1.27109i | −0.0322753 | + | 0.0559025i | ||||
\(518\) | 4.25225 | − | 7.36511i | 0.186833 | − | 0.323604i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.89929 | + | 3.37873i | −0.0832895 | + | 0.148167i | ||||
\(521\) | −38.2684 | −1.67657 | −0.838284 | − | 0.545235i | \(-0.816441\pi\) | ||||
−0.838284 | + | 0.545235i | \(0.816441\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.50085 | + | 12.9919i | −0.327989 | + | 0.568094i | −0.982113 | − | 0.188294i | \(-0.939704\pi\) |
0.654123 | + | 0.756388i | \(0.273038\pi\) | |||||||
\(524\) | 16.8839 | + | 29.2438i | 0.737577 | + | 1.27752i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −25.9388 | − | 44.9273i | −1.13098 | − | 1.95892i | ||||
\(527\) | −23.5502 | − | 40.7901i | −1.02586 | − | 1.77684i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.9222 | + | 18.9178i | 0.474878 | + | 0.822512i | ||||
\(530\) | −4.32915 | + | 7.49831i | −0.188046 | + | 0.325706i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.86206 | 0.0807305 | ||||||||
\(533\) | 11.2649 | + | 19.0038i | 0.487937 | + | 0.823146i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.05685 | + | 1.83051i | −0.0456915 | + | 0.0791400i | ||||
\(536\) | 0.643489 | − | 1.11456i | 0.0277945 | − | 0.0481415i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −50.5801 | −2.18066 | ||||||||
\(539\) | 0.834386 | + | 1.44520i | 0.0359396 | + | 0.0622491i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.9341 | −0.513089 | −0.256544 | − | 0.966532i | \(-0.582584\pi\) | ||||
−0.256544 | + | 0.966532i | \(0.582584\pi\) | |||||||
\(542\) | 22.0513 | + | 38.1939i | 0.947183 | + | 1.64057i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −20.4062 | + | 35.3447i | −0.874911 | + | 1.51539i | ||||
\(545\) | 4.12514 | 0.176702 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 23.5978 | 1.00897 | 0.504484 | − | 0.863421i | \(-0.331683\pi\) | ||||
0.504484 | + | 0.863421i | \(0.331683\pi\) | |||||||
\(548\) | −12.7852 | + | 22.1446i | −0.546155 | + | 0.945969i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.365380 | + | 0.632857i | 0.0155799 | + | 0.0269851i | ||||
\(551\) | 4.07574 | 0.173632 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.612438 | − | 1.06077i | −0.0260435 | − | 0.0451087i | ||||
\(554\) | −0.993719 | −0.0422191 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −15.2289 | + | 26.3772i | −0.645849 | + | 1.11864i | ||||
\(557\) | −7.33970 | + | 12.7127i | −0.310993 | + | 0.538656i | −0.978578 | − | 0.205878i | \(-0.933995\pi\) |
0.667585 | + | 0.744534i | \(0.267328\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 21.1808 | − | 0.243344i | 0.895852 | − | 0.0102923i | ||||
\(560\) | −4.00621 | −0.169293 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −26.0177 | + | 45.0640i | −1.09749 | + | 1.90091i | ||||
\(563\) | 15.2670 | + | 26.4431i | 0.643425 | + | 1.11445i | 0.984663 | + | 0.174468i | \(0.0558206\pi\) |
−0.341237 | + | 0.939977i | \(0.610846\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.69573 | + | 9.86529i | 0.239621 | + | 0.415036i | ||||
\(566\) | 24.3010 | + | 42.0905i | 1.02145 | + | 1.76920i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.239602 | + | 0.415003i | 0.0100535 | + | 0.0174131i | ||||
\(569\) | 9.56420 | − | 16.5657i | 0.400952 | − | 0.694469i | −0.592889 | − | 0.805284i | \(-0.702013\pi\) |
0.993841 | + | 0.110815i | \(0.0353460\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −25.5461 | −1.06907 | −0.534535 | − | 0.845146i | \(-0.679513\pi\) | ||||
−0.534535 | + | 0.845146i | \(0.679513\pi\) | |||||||
\(572\) | 1.52438 | − | 2.71179i | 0.0637377 | − | 0.113385i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 9.54096 | − | 16.5254i | 0.398232 | − | 0.689758i | ||||
\(575\) | −0.537500 | + | 0.930977i | −0.0224153 | + | 0.0388244i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 28.2497 | 1.17605 | 0.588025 | − | 0.808843i | \(-0.299906\pi\) | ||||
0.588025 | + | 0.808843i | \(0.299906\pi\) | |||||||
\(578\) | 9.95041 | + | 17.2346i | 0.413882 | + | 0.716865i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 20.1727 | 0.837625 | ||||||||
\(581\) | −11.1868 | − | 19.3761i | −0.464108 | − | 0.803858i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.702018 | − | 1.21593i | 0.0290746 | − | 0.0503587i | ||||
\(584\) | 8.09081 | 0.334800 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −40.8441 | −1.68725 | ||||||||
\(587\) | −0.397524 | + | 0.688532i | −0.0164076 | + | 0.0284188i | −0.874113 | − | 0.485723i | \(-0.838556\pi\) |
0.857705 | + | 0.514142i | \(0.171890\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.32217 | − | 4.02212i | −0.0956833 | − | 0.165728i | ||||
\(590\) | 10.7442 | 0.442332 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.72853 | + | 6.45800i | 0.153241 | + | 0.265422i | ||||
\(593\) | −36.0924 | −1.48214 | −0.741068 | − | 0.671430i | \(-0.765680\pi\) | ||||
−0.741068 | + | 0.671430i | \(0.765680\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.76716 | + | 6.52490i | −0.154438 | + | 0.267495i | ||||
\(596\) | −0.836242 | + | 1.44841i | −0.0342538 | + | 0.0593294i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.22747 | − | 0.0945244i | 0.336446 | − | 0.00386539i | ||||
\(599\) | −2.37758 | −0.0971454 | −0.0485727 | − | 0.998820i | \(-0.515467\pi\) | ||||
−0.0485727 | + | 0.998820i | \(0.515467\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.0688 | + | 24.3679i | −0.573880 | + | 0.993989i | 0.422283 | + | 0.906464i | \(0.361229\pi\) |
−0.996162 | + | 0.0875246i | \(0.972104\pi\) | |||||||
\(602\) | −9.14817 | − | 15.8451i | −0.372852 | − | 0.645798i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 19.9507 | + | 34.5556i | 0.811781 | + | 1.40605i | ||||
\(605\) | 5.44075 | + | 9.42365i | 0.221198 | + | 0.383126i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.57022 | − | 7.91586i | −0.185500 | − | 0.321295i | 0.758245 | − | 0.651970i | \(-0.226057\pi\) |
−0.943745 | + | 0.330675i | \(0.892724\pi\) | |||||||
\(608\) | −2.01216 | + | 3.48517i | −0.0816039 | + | 0.141342i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.9778 | 0.444477 | ||||||||
\(611\) | 7.53303 | − | 13.4008i | 0.304754 | − | 0.542138i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 19.3652 | − | 33.5415i | 0.782153 | − | 1.35473i | −0.148532 | − | 0.988908i | \(-0.547455\pi\) |
0.930685 | − | 0.365821i | \(-0.119212\pi\) | |||||||
\(614\) | −17.4856 | + | 30.2860i | −0.705663 | + | 1.22224i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.542898 | −0.0218740 | ||||||||
\(617\) | −18.8173 | − | 32.5924i | −0.757554 | − | 1.31212i | −0.944095 | − | 0.329675i | \(-0.893061\pi\) |
0.186541 | − | 0.982447i | \(-0.440272\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 33.3469 | 1.34033 | 0.670163 | − | 0.742214i | \(-0.266224\pi\) | ||||
0.670163 | + | 0.742214i | \(0.266224\pi\) | |||||||
\(620\) | −11.4935 | − | 19.9073i | −0.461589 | − | 0.799495i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 10.1319 | − | 17.5489i | 0.406251 | − | 0.703647i | ||||
\(623\) | 17.5313 | 0.702376 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 23.2521 | − | 40.2738i | 0.929340 | − | 1.60966i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −21.8823 | − | 37.9012i | −0.873197 | − | 1.51242i | ||||
\(629\) | 14.0242 | 0.559180 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.5301 | + | 32.0951i | 0.737673 | + | 1.27769i | 0.953541 | + | 0.301265i | \(0.0974088\pi\) |
−0.215867 | + | 0.976423i | \(0.569258\pi\) | |||||||
\(632\) | −0.897533 | −0.0357019 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −28.7984 | + | 49.8803i | −1.14373 | + | 1.98100i | ||||
\(635\) | 10.5067 | − | 18.1982i | 0.416947 | − | 0.722173i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −8.91266 | − | 15.0356i | −0.353132 | − | 0.595732i | ||||
\(638\) | −5.88150 | −0.232851 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.16216 | + | 7.20907i | −0.164524 | + | 0.284964i | ||||
\(641\) | 17.0532 | + | 29.5370i | 0.673561 | + | 1.16664i | 0.976887 | + | 0.213756i | \(0.0685696\pi\) |
−0.303326 | + | 0.952887i | \(0.598097\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.63742 | − | 6.30019i | −0.143446 | − | 0.248455i | 0.785346 | − | 0.619057i | \(-0.212485\pi\) |
−0.928792 | + | 0.370601i | \(0.879152\pi\) | |||||||
\(644\) | −1.97642 | − | 3.42325i | −0.0778817 | − | 0.134895i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.76040 | + | 4.78115i | 0.108606 | + | 0.188112i | ||||
\(647\) | 23.3891 | − | 40.5111i | 0.919521 | − | 1.59266i | 0.119377 | − | 0.992849i | \(-0.461910\pi\) |
0.800144 | − | 0.599808i | \(-0.204756\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.74228 | −0.0683907 | ||||||||
\(650\) | −3.90288 | − | 6.58413i | −0.153084 | − | 0.258251i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −18.2447 | + | 31.6008i | −0.714519 | + | 1.23758i | ||||
\(653\) | −0.899891 | + | 1.55866i | −0.0352154 | + | 0.0609949i | −0.883096 | − | 0.469192i | \(-0.844545\pi\) |
0.847881 | + | 0.530187i | \(0.177878\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −13.4726 | −0.526420 | ||||||||
\(656\) | 8.36586 | + | 14.4901i | 0.326632 | + | 0.565743i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −13.2786 | −0.517652 | ||||||||
\(659\) | 13.6361 | + | 23.6184i | 0.531186 | + | 0.920041i | 0.999338 | + | 0.0363930i | \(0.0115868\pi\) |
−0.468152 | + | 0.883648i | \(0.655080\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −12.0632 | + | 20.8941i | −0.469204 | + | 0.812686i | −0.999380 | − | 0.0352019i | \(-0.988793\pi\) |
0.530176 | + | 0.847888i | \(0.322126\pi\) | |||||||
\(662\) | −2.41565 | −0.0938870 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −16.3944 | −0.636225 | ||||||||
\(665\) | −0.371461 | + | 0.643390i | −0.0144046 | + | 0.0249496i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.32605 | − | 7.49293i | −0.167505 | − | 0.290128i | ||||
\(668\) | 38.9021 | 1.50517 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.27071 | + | 2.20094i | 0.0490920 | + | 0.0850298i | ||||
\(671\) | −1.78016 | −0.0687224 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.4433 | + | 33.6768i | −0.749485 | + | 1.29815i | 0.198584 | + | 0.980084i | \(0.436366\pi\) |
−0.948070 | + | 0.318063i | \(0.896968\pi\) | |||||||
\(674\) | −28.6238 | + | 49.5779i | −1.10255 | + | 1.90967i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −15.6390 | + | 28.5847i | −0.601500 | + | 1.09941i | ||||
\(677\) | 23.0788 | 0.886991 | 0.443495 | − | 0.896277i | \(-0.353738\pi\) | ||||
0.443495 | + | 0.896277i | \(0.353738\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.02736 | − | 1.77944i | 0.0394265 | − | 0.0682887i | ||||
\(680\) | 2.76040 | + | 4.78115i | 0.105856 | + | 0.183349i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.35101 | + | 5.80412i | 0.128317 | + | 0.222251i | ||||
\(683\) | 0.457785 | + | 0.792906i | 0.0175166 | + | 0.0303397i | 0.874651 | − | 0.484753i | \(-0.161091\pi\) |
−0.857134 | + | 0.515093i | \(0.827757\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.10101 | − | 8.83521i | −0.194900 | − | 0.337576i | ||||
\(686\) | −18.4489 | + | 31.9544i | −0.704381 | + | 1.22002i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 16.0429 | 0.611630 | ||||||||
\(689\) | −7.20612 | + | 12.8193i | −0.274531 | + | 0.488375i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.58980 | + | 6.21771i | −0.136562 | + | 0.236533i | −0.926193 | − | 0.377049i | \(-0.876939\pi\) |
0.789631 | + | 0.613582i | \(0.210272\pi\) | |||||||
\(692\) | 10.4340 | − | 18.0722i | 0.396641 | − | 0.687003i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 13.8704 | 0.526512 | ||||||||
\(695\) | −6.07601 | − | 10.5240i | −0.230476 | − | 0.399196i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 31.4667 | 1.19188 | ||||||||
\(698\) | −1.12263 | − | 1.94446i | −0.0424923 | − | 0.0735989i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1.83853 | + | 3.18442i | −0.0694898 | + | 0.120360i | ||||
\(701\) | 32.6040 | 1.23143 | 0.615717 | − | 0.787967i | \(-0.288866\pi\) | ||||
0.615717 | + | 0.787967i | \(0.288866\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.38286 | 0.0521554 | ||||||||
\(704\) | 1.96362 | − | 3.40109i | 0.0740066 | − | 0.128183i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −26.0775 | − | 45.1675i | −0.981440 | − | 1.69990i | ||||
\(707\) | 14.8086 | 0.556934 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.75954 | − | 3.04762i | −0.0660811 | − | 0.114456i | 0.831092 | − | 0.556135i | \(-0.187716\pi\) |
−0.897173 | + | 0.441679i | \(0.854383\pi\) | |||||||
\(710\) | −0.946296 | −0.0355139 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 6.42306 | − | 11.1251i | 0.240714 | − | 0.416929i | ||||
\(713\) | −4.92957 | + | 8.53826i | −0.184614 | + | 0.319760i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.632893 | + | 1.06769i | 0.0236689 | + | 0.0399292i | ||||
\(716\) | −63.3184 | −2.36632 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 7.90439 | − | 13.6908i | 0.294989 | − | 0.510937i | ||||
\(719\) | −10.7649 | − | 18.6453i | −0.401462 | − | 0.695352i | 0.592441 | − | 0.805614i | \(-0.298164\pi\) |
−0.993903 | + | 0.110262i | \(0.964831\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −11.4132 | − | 19.7682i | −0.425049 | − | 0.736206i | ||||
\(722\) | −19.8947 | − | 34.4586i | −0.740403 | − | 1.28242i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 27.0742 | + | 46.8939i | 1.00621 | + | 1.74280i | ||||
\(725\) | −4.02423 | + | 6.97018i | −0.149456 | + | 0.258866i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 51.8935 | 1.92462 | 0.962312 | − | 0.271948i | \(-0.0876679\pi\) | ||||
0.962312 | + | 0.271948i | \(0.0876679\pi\) | |||||||
\(728\) | 5.68593 | − | 0.0653250i | 0.210734 | − | 0.00242110i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −7.98857 | + | 13.8366i | −0.295670 | + | 0.512116i | ||||
\(731\) | 15.0856 | − | 26.1290i | 0.557961 | − | 0.966417i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −22.8890 | −0.845423 | −0.422711 | − | 0.906264i | \(-0.638922\pi\) | ||||
−0.422711 | + | 0.906264i | \(0.638922\pi\) | |||||||
\(734\) | −0.0473193 | − | 0.0819594i | −0.00174659 | − | 0.00302518i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 8.54295 | 0.314897 | ||||||||
\(737\) | −0.206060 | − | 0.356906i | −0.00759031 | − | 0.0131468i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.7987 | + | 22.1680i | −0.470807 | + | 0.815462i | −0.999443 | − | 0.0333870i | \(-0.989371\pi\) |
0.528635 | + | 0.848849i | \(0.322704\pi\) | |||||||
\(740\) | 6.84438 | 0.251604 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 12.7023 | 0.466317 | ||||||||
\(743\) | −14.0506 | + | 24.3364i | −0.515467 | + | 0.892815i | 0.484372 | + | 0.874862i | \(0.339048\pi\) |
−0.999839 | + | 0.0179525i | \(0.994285\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.333643 | − | 0.577886i | −0.0122237 | − | 0.0211721i | ||||
\(746\) | 7.09525 | 0.259776 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.21551 | − | 3.83738i | −0.0810071 | − | 0.140308i | ||||
\(749\) | 3.10093 | 0.113306 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.93493 | + | 8.54755i | −0.180078 | + | 0.311905i | −0.941907 | − | 0.335874i | \(-0.890968\pi\) |
0.761829 | + | 0.647778i | \(0.224302\pi\) | |||||||
\(752\) | 5.82156 | − | 10.0832i | 0.212291 | − | 0.367698i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 61.5986 | − | 0.707699i | 2.24329 | − | 0.0257729i | ||||
\(755\) | −15.9198 | −0.579380 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.930521 | + | 1.61171i | −0.0338204 | + | 0.0585786i | −0.882440 | − | 0.470425i | \(-0.844101\pi\) |
0.848620 | + | 0.529003i | \(0.177434\pi\) | |||||||
\(758\) | −27.8293 | − | 48.2017i | −1.01080 | − | 1.75076i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.272190 | + | 0.471446i | 0.00987335 | + | 0.0171012i | ||||
\(761\) | 15.8963 | + | 27.5332i | 0.576240 | + | 0.998077i | 0.995906 | + | 0.0903983i | \(0.0288140\pi\) |
−0.419666 | + | 0.907679i | \(0.637853\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.02593 | − | 5.24106i | −0.109546 | − | 0.189739i | ||||
\(764\) | −11.6729 | + | 20.2180i | −0.422310 | + | 0.731463i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −27.3826 | −0.989373 | ||||||||
\(767\) | 18.2474 | − | 0.209643i | 0.658877 | − | 0.00756976i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.66750 | − | 16.7446i | 0.348619 | − | 0.603826i | −0.637385 | − | 0.770545i | \(-0.719984\pi\) |
0.986004 | + | 0.166719i | \(0.0533174\pi\) | |||||||
\(770\) | 0.536037 | − | 0.928444i | 0.0193174 | − | 0.0334588i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −19.0488 | −0.685582 | ||||||||
\(773\) | 0.820176 | + | 1.42059i | 0.0294997 | + | 0.0510949i | 0.880398 | − | 0.474235i | \(-0.157275\pi\) |
−0.850899 | + | 0.525330i | \(0.823942\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.17129 | 0.329443 | ||||||||
\(776\) | −0.752803 | − | 1.30389i | −0.0270240 | − | 0.0468070i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.39812 | − | 9.34982i | 0.193532 | − | 0.335207i | ||||
\(779\) | 3.10278 | 0.111169 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.153452 | 0.00549094 | ||||||||
\(782\) | 5.85985 | − | 10.1496i | 0.209548 | − | 0.362947i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −6.61897 | − | 11.4644i | −0.236392 | − | 0.409443i | ||||
\(785\) | 17.4611 | 0.623214 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 16.1460 | + | 27.9657i | 0.575544 | + | 0.996871i | 0.995982 | + | 0.0895500i | \(0.0285429\pi\) |
−0.420439 | + | 0.907321i | \(0.638124\pi\) | |||||||
\(788\) | 27.4282 | 0.977089 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.886190 | − | 1.53493i | 0.0315292 | − | 0.0546102i | ||||
\(791\) | 8.35602 | − | 14.4731i | 0.297106 | − | 0.514602i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.6441 | − | 0.214200i | 0.662073 | − | 0.00760648i | ||||
\(794\) | 23.4874 | 0.833535 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 17.7914 | − | 30.8156i | 0.630600 | − | 1.09223i | ||||
\(797\) | −20.5207 | − | 35.5429i | −0.726880 | − | 1.25899i | −0.958195 | − | 0.286115i | \(-0.907636\pi\) |
0.231315 | − | 0.972879i | \(-0.425697\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −10.9484 | − | 18.9631i | −0.387325 | − | 0.670867i | ||||
\(800\) | −3.97347 | − | 6.88225i | −0.140483 | − | 0.243324i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −24.5137 | − | 42.4589i | −0.865607 | − | 1.49928i | ||||
\(803\) | 1.29543 | − | 2.24375i | 0.0457147 | − | 0.0791803i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.57710 | 0.0555853 | ||||||||
\(806\) | −35.7945 | − | 60.3850i | −1.26081 | − | 2.12697i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 5.42553 | − | 9.39729i | 0.190869 | − | 0.330595i | ||||
\(809\) | −11.3191 | + | 19.6052i | −0.397958 | + | 0.689283i | −0.993474 | − | 0.114060i | \(-0.963614\pi\) |
0.595516 | + | 0.803343i | \(0.296948\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.81520 | −0.239314 | −0.119657 | − | 0.992815i | \(-0.538180\pi\) | ||||
−0.119657 | + | 0.992815i | \(0.538180\pi\) | |||||||
\(812\) | −14.7973 | − | 25.6297i | −0.519285 | − | 0.899427i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.99553 | −0.0699433 | ||||||||
\(815\) | −7.27927 | − | 12.6081i | −0.254982 | − | 0.441641i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.48752 | − | 2.57646i | 0.0520417 | − | 0.0901389i | ||||
\(818\) | −30.6136 | −1.07038 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 15.3570 | 0.536291 | ||||||||
\(821\) | −21.0056 | + | 36.3827i | −0.733100 | + | 1.26977i | 0.222452 | + | 0.974944i | \(0.428594\pi\) |
−0.955552 | + | 0.294822i | \(0.904740\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −16.9766 | − | 29.4043i | −0.591766 | − | 1.02497i | −0.993995 | − | 0.109430i | \(-0.965098\pi\) |
0.402228 | − | 0.915539i | \(-0.368236\pi\) | |||||||
\(824\) | −16.7261 | −0.582681 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.88123 | − | 13.6507i | −0.274223 | − | 0.474968i | ||||
\(827\) | 24.6063 | 0.855644 | 0.427822 | − | 0.903863i | \(-0.359281\pi\) | ||||
0.427822 | + | 0.903863i | \(0.359281\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.42428 | − | 12.8592i | 0.257856 | − | 0.446619i | −0.707811 | − | 0.706401i | \(-0.750317\pi\) |
0.965667 | + | 0.259782i | \(0.0836507\pi\) | |||||||
\(830\) | 16.1872 | − | 28.0370i | 0.561866 | − | 0.973180i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −20.1563 | + | 35.8568i | −0.698793 | + | 1.24311i | ||||
\(833\) | −24.8961 | −0.862597 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −7.76055 | + | 13.4417i | −0.268565 | + | 0.465168i | ||||
\(836\) | −0.218461 | − | 0.378385i | −0.00755563 | − | 0.0130867i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −16.1000 | − | 27.8860i | −0.556166 | − | 0.963307i | ||||
\(839\) | −3.61789 | − | 6.26637i | −0.124903 | − | 0.216339i | 0.796792 | − | 0.604254i | \(-0.206529\pi\) |
−0.921695 | + | 0.387915i | \(0.873195\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.8889 | − | 30.9845i | −0.616859 | − | 1.06843i | ||||
\(842\) | 11.4322 | − | 19.8011i | 0.393979 | − | 0.682391i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 25.8906 | 0.891191 | ||||||||
\(845\) | −6.75694 | − | 11.1060i | −0.232446 | − | 0.382059i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.98195 | − | 13.8251i | 0.274263 | − | 0.475037i | ||||
\(848\) | −5.56893 | + | 9.64567i | −0.191238 | + | 0.331234i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −10.9021 | −0.373937 | ||||||||
\(851\) | −1.46778 | − | 2.54227i | −0.0503149 | − | 0.0871480i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 36.9206 | 1.26414 | 0.632068 | − | 0.774913i | \(-0.282206\pi\) | ||||
0.632068 | + | 0.774913i | \(0.282206\pi\) | |||||||
\(854\) | −8.05256 | − | 13.9474i | −0.275553 | − | 0.477272i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.13611 | − | 1.96780i | 0.0388314 | − | 0.0672580i | ||||
\(857\) | −16.2642 | −0.555573 | −0.277786 | − | 0.960643i | \(-0.589601\pi\) | ||||
−0.277786 | + | 0.960643i | \(0.589601\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 25.2975 | 0.863141 | 0.431571 | − | 0.902079i | \(-0.357960\pi\) | ||||
0.431571 | + | 0.902079i | \(0.357960\pi\) | |||||||
\(860\) | 7.36240 | − | 12.7521i | 0.251056 | − | 0.434842i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −43.8512 | − | 75.9524i | −1.49358 | − | 2.58695i | ||||
\(863\) | −55.7647 | −1.89825 | −0.949127 | − | 0.314894i | \(-0.898031\pi\) | ||||
−0.949127 | + | 0.314894i | \(0.898031\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.16295 | + | 7.21044i | 0.141544 | + | 0.245162i | ||||
\(866\) | −39.1713 | −1.33109 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −16.8617 | + | 29.2053i | −0.572323 | + | 0.991292i | ||||
\(869\) | −0.143705 | + | 0.248905i | −0.00487486 | + | 0.00844351i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.20107 | + | 3.71318i | 0.0745804 | + | 0.125816i | ||||
\(872\) | −4.43452 | −0.150172 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.577812 | − | 1.00080i | 0.0195448 | − | 0.0338525i | ||||
\(875\) | −0.733534 | − | 1.27052i | −0.0247980 | − | 0.0429513i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15.7171 | − | 27.2227i | −0.530727 | − | 0.919246i | −0.999357 | − | 0.0358518i | \(-0.988586\pi\) |
0.468630 | − | 0.883395i | \(-0.344748\pi\) | |||||||
\(878\) | 8.36542 | + | 14.4893i | 0.282319 | + | 0.488991i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.470017 | + | 0.814094i | 0.0158443 | + | 0.0274431i | ||||
\(881\) | 15.5090 | − | 26.8624i | 0.522512 | − | 0.905018i | −0.477145 | − | 0.878825i | \(-0.658328\pi\) |
0.999657 | − | 0.0261932i | \(-0.00833849\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −43.7232 | −1.47140 | −0.735701 | − | 0.677307i | \(-0.763147\pi\) | ||||
−0.735701 | + | 0.677307i | \(0.763147\pi\) | |||||||
\(884\) | 23.6654 | + | 39.9234i | 0.795954 | + | 1.34277i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 40.6276 | − | 70.3691i | 1.36491 | − | 2.36409i | ||||
\(887\) | 9.12624 | − | 15.8071i | 0.306429 | − | 0.530751i | −0.671149 | − | 0.741322i | \(-0.734199\pi\) |
0.977578 | + | 0.210571i | \(0.0675325\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −30.8282 | −1.03394 | ||||||||
\(890\) | 12.6838 | + | 21.9689i | 0.425161 | + | 0.736401i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 61.4221 | 2.05657 | ||||||||
\(893\) | −1.07957 | − | 1.86986i | −0.0361263 | − | 0.0625726i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 12.6313 | − | 21.8781i | 0.422219 | − | 0.731305i | ||||
\(896\) | 12.2123 | 0.407986 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −26.6296 | −0.888640 | ||||||||
\(899\) | −36.9074 | + | 63.9255i | −1.23093 | + | 2.13204i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 10.4733 | + | 18.1402i | 0.348915 | + | 0.604338i | ||||
\(902\) | −4.47746 | −0.149083 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −6.12291 | − | 10.6052i | −0.203645 | − | 0.352723i | ||||
\(905\) | −21.6041 | −0.718144 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −9.08126 | + | 15.7292i | −0.301538 | + | 0.522280i | −0.976485 | − | 0.215587i | \(-0.930833\pi\) |
0.674946 | + | 0.737867i | \(0.264167\pi\) | |||||||
\(908\) | −3.76616 | + | 6.52319i | −0.124985 | + | 0.216480i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −5.50235 | + | 9.78836i | −0.182401 | + | 0.324481i | ||||
\(911\) | −43.3147 | −1.43508 | −0.717541 | − | 0.696517i | \(-0.754732\pi\) | ||||
−0.717541 | + | 0.696517i | \(0.754732\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.62493 | + | 4.54650i | −0.0868723 | + | 0.150467i | ||||
\(914\) | −21.5135 | − | 37.2624i | −0.711602 | − | 1.23253i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 27.5380 | + | 47.6972i | 0.909880 | + | 1.57596i | ||||
\(917\) | 9.88263 | + | 17.1172i | 0.326353 | + | 0.565261i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.05975 | − | 3.56759i | −0.0679449 | − | 0.117684i | 0.830052 | − | 0.557687i | \(-0.188311\pi\) |
−0.897997 | + | 0.440003i | \(0.854978\pi\) | |||||||
\(920\) | 0.577812 | − | 1.00080i | 0.0190499 | − | 0.0329954i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −26.5356 | −0.873903 | ||||||||
\(923\) | −1.60715 | + | 0.0184643i | −0.0528999 | + | 0.000607760i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.36538 | + | 2.36491i | −0.0448934 | + | 0.0777577i | ||||
\(926\) | −16.0192 | + | 27.7461i | −0.526424 | + | 0.911793i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 63.9606 | 2.09961 | ||||||||
\(929\) | −24.1733 | − | 41.8694i | −0.793101 | − | 1.37369i | −0.924038 | − | 0.382300i | \(-0.875132\pi\) |
0.130938 | − | 0.991391i | \(-0.458201\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.45488 | −0.0804554 | ||||||||
\(932\) | −9.05277 | − | 15.6799i | −0.296533 | − | 0.513611i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 15.7961 | − | 27.3596i | 0.516864 | − | 0.895234i | ||||
\(935\) | 1.76788 | 0.0578160 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −17.7174 | −0.578801 | −0.289401 | − | 0.957208i | \(-0.593456\pi\) | ||||
−0.289401 | + | 0.957208i | \(0.593456\pi\) | |||||||
\(938\) | 1.86422 | − | 3.22893i | 0.0608691 | − | 0.105428i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −5.34326 | − | 9.25480i | −0.174278 | − | 0.301858i | ||||
\(941\) | 25.7342 | 0.838912 | 0.419456 | − | 0.907776i | \(-0.362221\pi\) | ||||
0.419456 | + | 0.907776i | \(0.362221\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3.29333 | − | 5.70422i | −0.107246 | − | 0.185755i | ||||
\(944\) | 13.8211 | 0.449839 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.14657 | + | 3.71796i | −0.0697909 | + | 0.120881i | ||||
\(947\) | −24.1941 | + | 41.9054i | −0.786203 | + | 1.36174i | 0.142075 | + | 0.989856i | \(0.454623\pi\) |
−0.928278 | + | 0.371888i | \(0.878711\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −13.2974 | + | 23.6553i | −0.431653 | + | 0.767884i | ||||
\(950\) | −1.07500 | −0.0348776 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.04969 | − | 7.01427i | 0.131251 | − | 0.227334i | ||||
\(953\) | 6.91281 | + | 11.9733i | 0.223928 | + | 0.387854i | 0.955997 | − | 0.293376i | \(-0.0947787\pi\) |
−0.732069 | + | 0.681230i | \(0.761445\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.65724 | − | 8.06657i | −0.150705 | − | 0.261028i | ||||
\(956\) | −0.617781 | − | 1.07003i | −0.0199805 | − | 0.0346072i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.322840 | + | 0.559176i | 0.0104305 | + | 0.0180662i | ||||
\(959\) | −7.48353 | + | 12.9618i | −0.241656 | + | 0.418560i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 53.1126 | 1.71331 | ||||||||
\(962\) | 20.8998 | − | 0.240115i | 0.673836 | − | 0.00774162i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 32.9301 | − | 57.0366i | 1.06061 | − | 1.83703i | ||||
\(965\) | 3.80004 | − | 6.58186i | 0.122327 | − | 0.211877i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −34.8289 | −1.12002 | −0.560010 | − | 0.828486i | \(-0.689203\pi\) | ||||
−0.560010 | + | 0.828486i | \(0.689203\pi\) | |||||||
\(968\) | −5.84880 | − | 10.1304i | −0.187988 | − | 0.325604i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.97316 | 0.0954623 | ||||||||
\(971\) | 3.90970 | + | 6.77180i | 0.125468 | + | 0.217317i | 0.921916 | − | 0.387390i | \(-0.126623\pi\) |
−0.796448 | + | 0.604708i | \(0.793290\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −8.91391 | + | 15.4393i | −0.285767 | + | 0.494963i | ||||
\(974\) | −88.5566 | −2.83754 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 14.1216 | 0.452020 | ||||||||
\(977\) | −2.45793 | + | 4.25727i | −0.0786363 | + | 0.136202i | −0.902662 | − | 0.430351i | \(-0.858390\pi\) |
0.824026 | + | 0.566553i | \(0.191723\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.05681 | − | 3.56250i | −0.0657359 | − | 0.113858i | ||||
\(980\) | −12.1503 | −0.388127 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 43.0505 | + | 74.5656i | 1.37380 | + | 2.37948i | ||||
\(983\) | −5.23823 | −0.167074 | −0.0835368 | − | 0.996505i | \(-0.526622\pi\) | ||||
−0.0835368 | + | 0.996505i | \(0.526622\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5.47163 | + | 9.47715i | −0.174341 | + | 0.301967i | ||||
\(986\) | 43.8724 | − | 75.9892i | 1.39718 | − | 2.41999i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.33353 | + | 3.93665i | 0.0742396 | + | 0.125242i | ||||
\(989\) | −6.31550 | −0.200821 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 0.889392 | − | 1.54047i | 0.0282525 | − | 0.0489347i | −0.851553 | − | 0.524268i | \(-0.824339\pi\) |
0.879806 | + | 0.475333i | \(0.157672\pi\) | |||||||
\(992\) | −36.4418 | − | 63.1191i | −1.15703 | − | 2.00403i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.694140 | + | 1.20229i | 0.0220168 | + | 0.0381342i | ||||
\(995\) | 7.09839 | + | 12.2948i | 0.225034 | + | 0.389771i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −21.9585 | − | 38.0333i | −0.695434 | − | 1.20453i | −0.970034 | − | 0.242968i | \(-0.921879\pi\) |
0.274601 | − | 0.961558i | \(-0.411454\pi\) | |||||||
\(998\) | 23.0580 | − | 39.9376i | 0.729888 | − | 1.26420i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 585.2.j.h.451.5 | yes | 10 | |
3.2 | odd | 2 | 585.2.j.i.451.1 | yes | 10 | ||
13.3 | even | 3 | inner | 585.2.j.h.406.5 | ✓ | 10 | |
13.4 | even | 6 | 7605.2.a.cl.1.5 | 5 | |||
13.9 | even | 3 | 7605.2.a.co.1.1 | 5 | |||
39.17 | odd | 6 | 7605.2.a.cn.1.1 | 5 | |||
39.29 | odd | 6 | 585.2.j.i.406.1 | yes | 10 | ||
39.35 | odd | 6 | 7605.2.a.cm.1.5 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.j.h.406.5 | ✓ | 10 | 13.3 | even | 3 | inner | |
585.2.j.h.451.5 | yes | 10 | 1.1 | even | 1 | trivial | |
585.2.j.i.406.1 | yes | 10 | 39.29 | odd | 6 | ||
585.2.j.i.451.1 | yes | 10 | 3.2 | odd | 2 | ||
7605.2.a.cl.1.5 | 5 | 13.4 | even | 6 | |||
7605.2.a.cm.1.5 | 5 | 39.35 | odd | 6 | |||
7605.2.a.cn.1.1 | 5 | 39.17 | odd | 6 | |||
7605.2.a.co.1.1 | 5 | 13.9 | even | 3 |