Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(40,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.40");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.m (of order \(13\), degree \(12\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{13})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{13}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Character | \(\chi\) | \(=\) | 507.79 |
Dual form | 507.2.m.b.430.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{13}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.42650 | − | 1.27353i | −1.71579 | − | 0.900518i | −0.972938 | − | 0.231068i | \(-0.925778\pi\) |
−0.742857 | − | 0.669450i | \(-0.766530\pi\) | |||||||
\(3\) | −0.970942 | − | 0.239316i | −0.560574 | − | 0.138169i | ||||
\(4\) | 3.12991 | + | 4.53445i | 1.56495 | + | 2.26723i | ||||
\(5\) | −0.0390694 | − | 0.103018i | −0.0174724 | − | 0.0460709i | 0.925996 | − | 0.377533i | \(-0.123227\pi\) |
−0.943469 | + | 0.331462i | \(0.892458\pi\) | |||||||
\(6\) | 2.05122 | + | 1.81722i | 0.837405 | + | 0.741876i | ||||
\(7\) | −0.184062 | − | 1.51589i | −0.0695689 | − | 0.572951i | −0.985259 | − | 0.171067i | \(-0.945278\pi\) |
0.915690 | − | 0.401884i | \(-0.131645\pi\) | |||||||
\(8\) | −1.15934 | − | 9.54803i | −0.409889 | − | 3.37574i | ||||
\(9\) | 0.885456 | + | 0.464723i | 0.295152 | + | 0.154908i | ||||
\(10\) | −0.0363936 | + | 0.299728i | −0.0115087 | + | 0.0947824i | ||||
\(11\) | −4.15382 | + | 2.18010i | −1.25243 | + | 0.657324i | −0.954769 | − | 0.297349i | \(-0.903897\pi\) |
−0.297657 | + | 0.954673i | \(0.596205\pi\) | |||||||
\(12\) | −1.95379 | − | 5.15172i | −0.564011 | − | 1.48717i | ||||
\(13\) | 2.77782 | + | 2.29863i | 0.770428 | + | 0.637527i | ||||
\(14\) | −1.48389 | + | 3.91271i | −0.396587 | + | 1.04572i | ||||
\(15\) | 0.0132804 | + | 0.109374i | 0.00342899 | + | 0.0282403i | ||||
\(16\) | −5.43893 | + | 14.3413i | −1.35973 | + | 3.58532i | ||||
\(17\) | −0.263861 | − | 2.17309i | −0.0639958 | − | 0.527053i | −0.989090 | − | 0.147314i | \(-0.952937\pi\) |
0.925094 | − | 0.379738i | \(-0.123986\pi\) | |||||||
\(18\) | −1.55672 | − | 2.25530i | −0.366923 | − | 0.531580i | ||||
\(19\) | 0.661441 | 0.151745 | 0.0758725 | − | 0.997118i | \(-0.475826\pi\) | ||||
0.0758725 | + | 0.997118i | \(0.475826\pi\) | |||||||
\(20\) | 0.344845 | − | 0.499594i | 0.0771096 | − | 0.111713i | ||||
\(21\) | −0.184062 | + | 1.51589i | −0.0401656 | + | 0.330794i | ||||
\(22\) | 12.8557 | 2.74084 | ||||||||
\(23\) | 5.40640 | 1.12731 | 0.563657 | − | 0.826009i | \(-0.309394\pi\) | ||||
0.563657 | + | 0.826009i | \(0.309394\pi\) | |||||||
\(24\) | −1.15934 | + | 9.54803i | −0.236649 | + | 1.94898i | ||||
\(25\) | 3.73347 | − | 3.30756i | 0.746694 | − | 0.661513i | ||||
\(26\) | −3.81301 | − | 9.11526i | −0.747792 | − | 1.78765i | ||||
\(27\) | −0.748511 | − | 0.663123i | −0.144051 | − | 0.127618i | ||||
\(28\) | 6.29762 | − | 5.57920i | 1.19014 | − | 1.05437i | ||||
\(29\) | 5.46494 | + | 2.86822i | 1.01481 | + | 0.532615i | 0.888258 | − | 0.459345i | \(-0.151916\pi\) |
0.126555 | + | 0.991960i | \(0.459608\pi\) | |||||||
\(30\) | 0.107066 | − | 0.282309i | 0.0195474 | − | 0.0515423i | ||||
\(31\) | −3.97739 | − | 3.52366i | −0.714360 | − | 0.632868i | 0.225573 | − | 0.974226i | \(-0.427575\pi\) |
−0.939933 | + | 0.341358i | \(0.889113\pi\) | |||||||
\(32\) | 17.0630 | − | 15.1165i | 3.01634 | − | 2.67224i | ||||
\(33\) | 4.55485 | − | 1.12267i | 0.792898 | − | 0.195432i | ||||
\(34\) | −2.12723 | + | 5.60905i | −0.364817 | + | 0.961944i | ||||
\(35\) | −0.148972 | + | 0.0781865i | −0.0251808 | + | 0.0132159i | ||||
\(36\) | 0.664129 | + | 5.46960i | 0.110688 | + | 0.911599i | ||||
\(37\) | −1.15032 | − | 1.01910i | −0.189112 | − | 0.167539i | 0.563254 | − | 0.826284i | \(-0.309549\pi\) |
−0.752366 | + | 0.658745i | \(0.771088\pi\) | |||||||
\(38\) | −1.60499 | − | 0.842362i | −0.260363 | − | 0.136649i | ||||
\(39\) | −2.14700 | − | 2.89662i | −0.343795 | − | 0.463830i | ||||
\(40\) | −0.938320 | + | 0.492468i | −0.148361 | + | 0.0778661i | ||||
\(41\) | −0.726940 | − | 0.179175i | −0.113529 | − | 0.0279824i | 0.182142 | − | 0.983272i | \(-0.441697\pi\) |
−0.295671 | + | 0.955290i | \(0.595543\pi\) | |||||||
\(42\) | 2.37715 | − | 3.44389i | 0.366802 | − | 0.531404i | ||||
\(43\) | −6.59539 | + | 5.84301i | −1.00579 | + | 0.891050i | −0.994055 | − | 0.108881i | \(-0.965273\pi\) |
−0.0117332 | + | 0.999931i | \(0.503735\pi\) | |||||||
\(44\) | −22.8866 | − | 12.0118i | −3.45029 | − | 1.81085i | ||||
\(45\) | 0.0132804 | − | 0.109374i | 0.00197973 | − | 0.0163045i | ||||
\(46\) | −13.1186 | − | 6.88519i | −1.93424 | − | 1.01517i | ||||
\(47\) | 5.87910 | − | 8.51734i | 0.857554 | − | 1.24238i | −0.111060 | − | 0.993814i | \(-0.535425\pi\) |
0.968614 | − | 0.248568i | \(-0.0799600\pi\) | |||||||
\(48\) | 8.71298 | − | 12.6229i | 1.25761 | − | 1.82196i | ||||
\(49\) | 4.53256 | − | 1.11718i | 0.647508 | − | 0.159596i | ||||
\(50\) | −13.2715 | + | 3.27114i | −1.87688 | + | 0.462609i | ||||
\(51\) | −0.263861 | + | 2.17309i | −0.0369480 | + | 0.304294i | ||||
\(52\) | −1.72874 | + | 19.7904i | −0.239733 | + | 2.74443i | ||||
\(53\) | −0.977751 | − | 8.05251i | −0.134304 | − | 1.10610i | −0.891536 | − | 0.452950i | \(-0.850372\pi\) |
0.757231 | − | 0.653147i | \(-0.226552\pi\) | |||||||
\(54\) | 0.971758 | + | 2.56231i | 0.132239 | + | 0.348687i | ||||
\(55\) | 0.386876 | + | 0.342742i | 0.0521663 | + | 0.0462153i | ||||
\(56\) | −14.2603 | + | 3.51486i | −1.90562 | + | 0.469693i | ||||
\(57\) | −0.642221 | − | 0.158293i | −0.0850643 | − | 0.0209665i | ||||
\(58\) | −9.60791 | − | 13.9195i | −1.26158 | − | 1.82772i | ||||
\(59\) | 0.0224213 | + | 0.0591201i | 0.00291900 | + | 0.00769678i | 0.936468 | − | 0.350753i | \(-0.114074\pi\) |
−0.933549 | + | 0.358450i | \(0.883305\pi\) | |||||||
\(60\) | −0.454385 | + | 0.402550i | −0.0586608 | + | 0.0519690i | ||||
\(61\) | 1.47461 | − | 12.1445i | 0.188804 | − | 1.55494i | −0.522856 | − | 0.852421i | \(-0.675133\pi\) |
0.711660 | − | 0.702524i | \(-0.247943\pi\) | |||||||
\(62\) | 5.16366 | + | 13.6155i | 0.655786 | + | 1.72917i | ||||
\(63\) | 0.541489 | − | 1.42779i | 0.0682212 | − | 0.179885i | ||||
\(64\) | −30.8699 | + | 7.60875i | −3.85874 | + | 0.951094i | ||||
\(65\) | 0.128272 | − | 0.375971i | 0.0159102 | − | 0.0466334i | ||||
\(66\) | −12.4821 | − | 3.07656i | −1.53644 | − | 0.378699i | ||||
\(67\) | 3.85753 | − | 5.58860i | 0.471273 | − | 0.682756i | −0.513205 | − | 0.858266i | \(-0.671542\pi\) |
0.984478 | + | 0.175510i | \(0.0561574\pi\) | |||||||
\(68\) | 9.02793 | − | 7.99804i | 1.09480 | − | 0.969905i | ||||
\(69\) | −5.24930 | − | 1.29384i | −0.631942 | − | 0.155760i | ||||
\(70\) | 0.461053 | 0.0551063 | ||||||||
\(71\) | −6.34492 | − | 1.56388i | −0.753004 | − | 0.185599i | −0.155911 | − | 0.987771i | \(-0.549831\pi\) |
−0.597093 | + | 0.802172i | \(0.703678\pi\) | |||||||
\(72\) | 3.41064 | − | 8.99313i | 0.401948 | − | 1.05985i | ||||
\(73\) | 1.75867 | − | 0.923022i | 0.205837 | − | 0.108032i | −0.358655 | − | 0.933470i | \(-0.616764\pi\) |
0.564492 | + | 0.825439i | \(0.309072\pi\) | |||||||
\(74\) | 1.49341 | + | 3.93781i | 0.173606 | + | 0.457761i | ||||
\(75\) | −4.41653 | + | 2.31797i | −0.509977 | + | 0.267657i | ||||
\(76\) | 2.07025 | + | 2.99927i | 0.237474 | + | 0.344040i | ||||
\(77\) | 4.06934 | + | 5.89546i | 0.463744 | + | 0.671850i | ||||
\(78\) | 1.52078 | + | 9.76290i | 0.172195 | + | 1.10543i | ||||
\(79\) | 7.20919 | − | 10.4443i | 0.811098 | − | 1.17508i | −0.170733 | − | 0.985317i | \(-0.554614\pi\) |
0.981830 | − | 0.189760i | \(-0.0607711\pi\) | |||||||
\(80\) | 1.68990 | 0.188937 | ||||||||
\(81\) | 0.568065 | + | 0.822984i | 0.0631183 | + | 0.0914427i | ||||
\(82\) | 1.53574 | + | 1.36054i | 0.169594 | + | 0.150247i | ||||
\(83\) | 8.54375 | − | 2.10584i | 0.937798 | − | 0.231146i | 0.259340 | − | 0.965786i | \(-0.416495\pi\) |
0.678458 | + | 0.734640i | \(0.262649\pi\) | |||||||
\(84\) | −7.44981 | + | 3.90996i | −0.812841 | + | 0.426612i | ||||
\(85\) | −0.213558 | + | 0.112084i | −0.0231636 | + | 0.0121572i | ||||
\(86\) | 23.4449 | − | 5.77866i | 2.52813 | − | 0.623129i | ||||
\(87\) | −4.61972 | − | 4.09272i | −0.495286 | − | 0.438785i | ||||
\(88\) | 25.6313 | + | 37.1334i | 2.73231 | + | 3.95843i | ||||
\(89\) | 7.62832 | 0.808601 | 0.404300 | − | 0.914626i | \(-0.367515\pi\) | ||||
0.404300 | + | 0.914626i | \(0.367515\pi\) | |||||||
\(90\) | −0.171516 | + | 0.248483i | −0.0180793 | + | 0.0261924i | ||||
\(91\) | 2.97318 | − | 4.63395i | 0.311674 | − | 0.485770i | ||||
\(92\) | 16.9215 | + | 24.5151i | 1.76419 | + | 2.55587i | ||||
\(93\) | 3.01855 | + | 4.37312i | 0.313009 | + | 0.453471i | ||||
\(94\) | −25.1127 | + | 13.1801i | −2.59017 | + | 1.35943i | ||||
\(95\) | −0.0258421 | − | 0.0681401i | −0.00265135 | − | 0.00699103i | ||||
\(96\) | −20.1848 | + | 10.5938i | −2.06010 | + | 1.08122i | ||||
\(97\) | 1.64391 | − | 4.33464i | 0.166914 | − | 0.440116i | −0.825295 | − | 0.564702i | \(-0.808991\pi\) |
0.992209 | + | 0.124586i | \(0.0397604\pi\) | |||||||
\(98\) | −12.4210 | − | 3.06150i | −1.25471 | − | 0.309258i | ||||
\(99\) | −4.69117 | −0.471480 | ||||||||
\(100\) | 26.6834 | + | 6.57686i | 2.66834 | + | 0.657686i | ||||
\(101\) | −10.2373 | + | 9.06945i | −1.01865 | + | 0.902444i | −0.995257 | − | 0.0972826i | \(-0.968985\pi\) |
−0.0233917 | + | 0.999726i | \(0.507446\pi\) | |||||||
\(102\) | 3.40775 | − | 4.93698i | 0.337418 | − | 0.488834i | ||||
\(103\) | −13.5367 | − | 3.33650i | −1.33381 | − | 0.328755i | −0.492976 | − | 0.870043i | \(-0.664091\pi\) |
−0.840838 | + | 0.541288i | \(0.817937\pi\) | |||||||
\(104\) | 18.7270 | − | 29.1876i | 1.83633 | − | 2.86208i | ||||
\(105\) | 0.163354 | − | 0.0402632i | 0.0159417 | − | 0.00392929i | ||||
\(106\) | −7.88256 | + | 20.7846i | −0.765622 | + | 2.01878i | ||||
\(107\) | 2.80991 | + | 7.40913i | 0.271644 | + | 0.716267i | 0.999533 | + | 0.0305716i | \(0.00973276\pi\) |
−0.727888 | + | 0.685696i | \(0.759498\pi\) | |||||||
\(108\) | 0.664129 | − | 5.46960i | 0.0639059 | − | 0.526312i | ||||
\(109\) | 15.4511 | − | 13.6885i | 1.47995 | − | 1.31112i | 0.640113 | − | 0.768281i | \(-0.278888\pi\) |
0.839836 | − | 0.542840i | \(-0.182651\pi\) | |||||||
\(110\) | −0.502263 | − | 1.32436i | −0.0478889 | − | 0.126273i | ||||
\(111\) | 0.873011 | + | 1.26477i | 0.0828625 | + | 0.120047i | ||||
\(112\) | 22.7409 | + | 5.60512i | 2.14881 | + | 0.529634i | ||||
\(113\) | 12.3977 | − | 3.05576i | 1.16628 | − | 0.287462i | 0.391794 | − | 0.920053i | \(-0.371855\pi\) |
0.774486 | + | 0.632591i | \(0.218009\pi\) | |||||||
\(114\) | 1.35676 | + | 1.20198i | 0.127072 | + | 0.112576i | ||||
\(115\) | −0.211225 | − | 0.556955i | −0.0196968 | − | 0.0519363i | ||||
\(116\) | 4.09893 | + | 33.7577i | 0.380576 | + | 3.13433i | ||||
\(117\) | 1.39141 | + | 3.32626i | 0.128636 | + | 0.307513i | ||||
\(118\) | 0.0208857 | − | 0.172009i | 0.00192268 | − | 0.0158347i | ||||
\(119\) | −3.24560 | + | 0.799968i | −0.297524 | + | 0.0733330i | ||||
\(120\) | 1.02891 | − | 0.253604i | 0.0939262 | − | 0.0231507i | ||||
\(121\) | 6.25273 | − | 9.05865i | 0.568430 | − | 0.823513i | ||||
\(122\) | −19.0445 | + | 27.5907i | −1.72421 | + | 2.49794i | ||||
\(123\) | 0.662938 | + | 0.347936i | 0.0597751 | + | 0.0313724i | ||||
\(124\) | 3.52901 | − | 29.0640i | 0.316914 | − | 2.61002i | ||||
\(125\) | −0.974388 | − | 0.511398i | −0.0871519 | − | 0.0457408i | ||||
\(126\) | −3.13225 | + | 2.77493i | −0.279043 | + | 0.247210i | ||||
\(127\) | 5.10096 | − | 7.39002i | 0.452637 | − | 0.655758i | −0.528531 | − | 0.848914i | \(-0.677257\pi\) |
0.981168 | + | 0.193156i | \(0.0618724\pi\) | |||||||
\(128\) | 40.3288 | + | 9.94016i | 3.56460 | + | 0.878594i | ||||
\(129\) | 7.80207 | − | 4.09484i | 0.686934 | − | 0.360531i | ||||
\(130\) | −0.790060 | + | 0.748935i | −0.0692929 | + | 0.0656859i | ||||
\(131\) | −3.18853 | − | 1.67347i | −0.278583 | − | 0.146212i | 0.319646 | − | 0.947537i | \(-0.396436\pi\) |
−0.598228 | + | 0.801326i | \(0.704128\pi\) | |||||||
\(132\) | 19.3470 | + | 17.1399i | 1.68394 | + | 1.49184i | ||||
\(133\) | −0.121746 | − | 1.00267i | −0.0105567 | − | 0.0869426i | ||||
\(134\) | −16.4775 | + | 8.64807i | −1.42344 | + | 0.747080i | ||||
\(135\) | −0.0390694 | + | 0.103018i | −0.00336256 | + | 0.00886635i | ||||
\(136\) | −20.4429 | + | 5.03871i | −1.75296 | + | 0.432066i | ||||
\(137\) | −4.42106 | + | 3.91672i | −0.377716 | + | 0.334628i | −0.830526 | − | 0.556980i | \(-0.811960\pi\) |
0.452810 | + | 0.891607i | \(0.350422\pi\) | |||||||
\(138\) | 11.0897 | + | 9.82462i | 0.944018 | + | 0.836327i | ||||
\(139\) | −6.49480 | + | 17.1254i | −0.550881 | + | 1.45256i | 0.313436 | + | 0.949609i | \(0.398520\pi\) |
−0.864318 | + | 0.502946i | \(0.832249\pi\) | |||||||
\(140\) | −0.820801 | − | 0.430789i | −0.0693703 | − | 0.0364084i | ||||
\(141\) | −7.74659 | + | 6.86288i | −0.652381 | + | 0.577959i | ||||
\(142\) | 13.4043 | + | 11.8752i | 1.12486 | + | 0.996543i | ||||
\(143\) | −16.5498 | − | 3.49222i | −1.38397 | − | 0.292034i | ||||
\(144\) | −11.4807 | + | 10.1710i | −0.956722 | + | 0.847582i | ||||
\(145\) | 0.0819652 | − | 0.675044i | 0.00680684 | − | 0.0560594i | ||||
\(146\) | −5.44291 | −0.450458 | ||||||||
\(147\) | −4.66821 | −0.385027 | ||||||||
\(148\) | 1.02064 | − | 8.40576i | 0.0838964 | − | 0.690949i | ||||
\(149\) | −10.6518 | + | 15.4318i | −0.872630 | + | 1.26422i | 0.0906934 | + | 0.995879i | \(0.471092\pi\) |
−0.963323 | + | 0.268344i | \(0.913524\pi\) | |||||||
\(150\) | 13.6687 | 1.11605 | ||||||||
\(151\) | 10.6965 | + | 15.4965i | 0.870466 | + | 1.26109i | 0.964116 | + | 0.265483i | \(0.0855314\pi\) |
−0.0936491 | + | 0.995605i | \(0.529853\pi\) | |||||||
\(152\) | −0.766836 | − | 6.31546i | −0.0621986 | − | 0.512251i | ||||
\(153\) | 0.776249 | − | 2.04680i | 0.0627560 | − | 0.165474i | ||||
\(154\) | −2.36624 | − | 19.4877i | −0.190677 | − | 1.57037i | ||||
\(155\) | −0.207605 | + | 0.547409i | −0.0166752 | + | 0.0439689i | ||||
\(156\) | 6.41465 | − | 18.8016i | 0.513583 | − | 1.50533i | ||||
\(157\) | −6.11782 | − | 16.1314i | −0.488256 | − | 1.28742i | −0.922280 | − | 0.386523i | \(-0.873676\pi\) |
0.434024 | − | 0.900901i | \(-0.357093\pi\) | |||||||
\(158\) | −30.7942 | + | 16.1620i | −2.44986 | + | 1.28578i | ||||
\(159\) | −0.977751 | + | 8.05251i | −0.0775407 | + | 0.638605i | ||||
\(160\) | −2.22391 | − | 1.16720i | −0.175815 | − | 0.0922749i | ||||
\(161\) | −0.995114 | − | 8.19550i | −0.0784259 | − | 0.645896i | ||||
\(162\) | −0.330318 | − | 2.72042i | −0.0259522 | − | 0.213736i | ||||
\(163\) | 4.23350 | + | 3.75056i | 0.331593 | + | 0.293766i | 0.812447 | − | 0.583035i | \(-0.198135\pi\) |
−0.480854 | + | 0.876801i | \(0.659673\pi\) | |||||||
\(164\) | −1.46280 | − | 3.85708i | −0.114225 | − | 0.301187i | ||||
\(165\) | −0.293610 | − | 0.425368i | −0.0228575 | − | 0.0331149i | ||||
\(166\) | −23.4132 | − | 5.77085i | −1.81722 | − | 0.447905i | ||||
\(167\) | 16.4803 | + | 8.64953i | 1.27528 | + | 0.669321i | 0.960086 | − | 0.279705i | \(-0.0902366\pi\) |
0.315198 | + | 0.949026i | \(0.397929\pi\) | |||||||
\(168\) | 14.6871 | 1.13314 | ||||||||
\(169\) | 2.43256 | + | 12.7704i | 0.187120 | + | 0.982337i | ||||
\(170\) | 0.660940 | 0.0506918 | ||||||||
\(171\) | 0.585677 | + | 0.307387i | 0.0447879 | + | 0.0235065i | ||||
\(172\) | −47.1378 | − | 11.6184i | −3.59422 | − | 0.885896i | ||||
\(173\) | 9.42892 | + | 13.6601i | 0.716867 | + | 1.03856i | 0.996908 | + | 0.0785736i | \(0.0250366\pi\) |
−0.280041 | + | 0.959988i | \(0.590348\pi\) | |||||||
\(174\) | 5.99758 | + | 15.8143i | 0.454675 | + | 1.19888i | ||||
\(175\) | −5.70108 | − | 5.05072i | −0.430961 | − | 0.381798i | ||||
\(176\) | −8.67300 | − | 71.4286i | −0.653752 | − | 5.38413i | ||||
\(177\) | −0.00762141 | − | 0.0627679i | −0.000572860 | − | 0.00471793i | ||||
\(178\) | −18.5101 | − | 9.71486i | −1.38739 | − | 0.728160i | ||||
\(179\) | 2.67612 | − | 22.0398i | 0.200023 | − | 1.64733i | −0.454104 | − | 0.890949i | \(-0.650041\pi\) |
0.654127 | − | 0.756385i | \(-0.273036\pi\) | |||||||
\(180\) | 0.537518 | − | 0.282111i | 0.0400642 | − | 0.0210273i | ||||
\(181\) | 4.98928 | + | 13.1557i | 0.370851 | + | 0.977853i | 0.982424 | + | 0.186665i | \(0.0597678\pi\) |
−0.611573 | + | 0.791188i | \(0.709463\pi\) | |||||||
\(182\) | −13.1159 | + | 7.45786i | −0.972213 | + | 0.552814i | ||||
\(183\) | −4.33813 | + | 11.4387i | −0.320684 | + | 0.845574i | ||||
\(184\) | −6.26786 | − | 51.6205i | −0.462073 | − | 3.80551i | ||||
\(185\) | −0.0600425 | + | 0.158319i | −0.00441441 | + | 0.0116399i | ||||
\(186\) | −1.75522 | − | 14.4556i | −0.128699 | − | 1.05993i | ||||
\(187\) | 5.83359 | + | 8.45141i | 0.426594 | + | 0.618028i | ||||
\(188\) | 57.0225 | 4.15879 | ||||||||
\(189\) | −0.867447 | + | 1.25671i | −0.0630975 | + | 0.0914125i | ||||
\(190\) | −0.0240722 | + | 0.198253i | −0.00174638 | + | 0.0143828i | ||||
\(191\) | 1.95922 | 0.141764 | 0.0708819 | − | 0.997485i | \(-0.477419\pi\) | ||||
0.0708819 | + | 0.997485i | \(0.477419\pi\) | |||||||
\(192\) | 31.7938 | 2.29452 | ||||||||
\(193\) | −1.28305 | + | 10.5669i | −0.0923561 | + | 0.760621i | 0.870793 | + | 0.491651i | \(0.163606\pi\) |
−0.963149 | + | 0.268970i | \(0.913317\pi\) | |||||||
\(194\) | −9.50922 | + | 8.42443i | −0.682722 | + | 0.604839i | ||||
\(195\) | −0.214520 | + | 0.334348i | −0.0153621 | + | 0.0239432i | ||||
\(196\) | 19.2523 | + | 17.0560i | 1.37516 | + | 1.21829i | ||||
\(197\) | 10.5203 | − | 9.32014i | 0.749538 | − | 0.664033i | −0.199249 | − | 0.979949i | \(-0.563850\pi\) |
0.948787 | + | 0.315916i | \(0.102312\pi\) | |||||||
\(198\) | 11.3831 | + | 5.97432i | 0.808963 | + | 0.424577i | ||||
\(199\) | 5.36494 | − | 14.1462i | 0.380311 | − | 1.00280i | −0.599056 | − | 0.800707i | \(-0.704457\pi\) |
0.979367 | − | 0.202090i | \(-0.0647734\pi\) | |||||||
\(200\) | −35.9091 | − | 31.8127i | −2.53915 | − | 2.24949i | ||||
\(201\) | −5.08288 | + | 4.50304i | −0.358519 | + | 0.317620i | ||||
\(202\) | 36.3910 | − | 8.96957i | 2.56046 | − | 0.631096i | ||||
\(203\) | 3.34201 | − | 8.81216i | 0.234563 | − | 0.618492i | ||||
\(204\) | −10.6796 | + | 5.60511i | −0.747725 | + | 0.392436i | ||||
\(205\) | 0.00994299 | + | 0.0818879i | 0.000694449 | + | 0.00571930i | ||||
\(206\) | 28.5977 | + | 25.3354i | 1.99250 | + | 1.76520i | ||||
\(207\) | 4.78713 | + | 2.51248i | 0.332729 | + | 0.174629i | ||||
\(208\) | −48.0738 | + | 27.3354i | −3.33332 | + | 1.89537i | ||||
\(209\) | −2.74751 | + | 1.44201i | −0.190049 | + | 0.0997456i | ||||
\(210\) | −0.447655 | − | 0.110337i | −0.0308912 | − | 0.00761399i | ||||
\(211\) | −9.27713 | + | 13.4402i | −0.638664 | + | 0.925264i | −0.999974 | − | 0.00718145i | \(-0.997714\pi\) |
0.361311 | + | 0.932446i | \(0.382329\pi\) | |||||||
\(212\) | 33.4534 | − | 29.6372i | 2.29759 | − | 2.03549i | ||||
\(213\) | 5.78629 | + | 3.03688i | 0.396470 | + | 0.208084i | ||||
\(214\) | 2.61746 | − | 21.5567i | 0.178926 | − | 1.47359i | ||||
\(215\) | 0.859611 | + | 0.451159i | 0.0586250 | + | 0.0307688i | ||||
\(216\) | −5.46373 | + | 7.91559i | −0.371760 | + | 0.538587i | ||||
\(217\) | −4.60938 | + | 6.67784i | −0.312905 | + | 0.453322i | ||||
\(218\) | −54.9248 | + | 13.5377i | −3.71998 | + | 0.916892i | ||||
\(219\) | −1.92846 | + | 0.475323i | −0.130313 | + | 0.0321194i | ||||
\(220\) | −0.343262 | + | 2.82702i | −0.0231427 | + | 0.190598i | ||||
\(221\) | 4.26219 | − | 6.64298i | 0.286706 | − | 0.446855i | ||||
\(222\) | −0.507638 | − | 4.18078i | −0.0340704 | − | 0.280595i | ||||
\(223\) | −5.83164 | − | 15.3768i | −0.390515 | − | 1.02970i | −0.975759 | − | 0.218847i | \(-0.929770\pi\) |
0.585244 | − | 0.810857i | \(-0.300999\pi\) | |||||||
\(224\) | −26.0555 | − | 23.0832i | −1.74091 | − | 1.54231i | ||||
\(225\) | 4.84292 | − | 1.19367i | 0.322862 | − | 0.0795782i | ||||
\(226\) | −33.9747 | − | 8.37400i | −2.25996 | − | 0.557030i | ||||
\(227\) | −1.83475 | − | 2.65809i | −0.121777 | − | 0.176424i | 0.757354 | − | 0.653004i | \(-0.226492\pi\) |
−0.879131 | + | 0.476580i | \(0.841876\pi\) | |||||||
\(228\) | −1.29232 | − | 3.40756i | −0.0855859 | − | 0.225671i | ||||
\(229\) | 7.16232 | − | 6.34526i | 0.473300 | − | 0.419307i | −0.392458 | − | 0.919770i | \(-0.628375\pi\) |
0.865758 | + | 0.500463i | \(0.166837\pi\) | |||||||
\(230\) | −0.196758 | + | 1.62045i | −0.0129739 | + | 0.106849i | ||||
\(231\) | −2.54022 | − | 6.69800i | −0.167134 | − | 0.440696i | ||||
\(232\) | 21.0501 | − | 55.5046i | 1.38201 | − | 3.64405i | ||||
\(233\) | −17.4950 | + | 4.31214i | −1.14614 | + | 0.282498i | −0.766255 | − | 0.642537i | \(-0.777882\pi\) |
−0.379883 | + | 0.925035i | \(0.624036\pi\) | |||||||
\(234\) | 0.859822 | − | 9.84315i | 0.0562083 | − | 0.643467i | ||||
\(235\) | −1.10713 | − | 0.272883i | −0.0722211 | − | 0.0178009i | ||||
\(236\) | −0.197901 | + | 0.286708i | −0.0128822 | + | 0.0186631i | ||||
\(237\) | −9.49920 | + | 8.41555i | −0.617039 | + | 0.546649i | ||||
\(238\) | 8.89422 | + | 2.19223i | 0.576527 | + | 0.142101i | ||||
\(239\) | −11.9852 | −0.775261 | −0.387630 | − | 0.921815i | \(-0.626706\pi\) | ||||
−0.387630 | + | 0.921815i | \(0.626706\pi\) | |||||||
\(240\) | −1.64080 | − | 0.404420i | −0.105913 | − | 0.0261052i | ||||
\(241\) | −7.64297 | + | 20.1528i | −0.492327 | + | 1.29816i | 0.426853 | + | 0.904321i | \(0.359622\pi\) |
−0.919180 | + | 0.393838i | \(0.871147\pi\) | |||||||
\(242\) | −26.7087 | + | 14.0178i | −1.71690 | + | 0.901098i | ||||
\(243\) | −0.354605 | − | 0.935016i | −0.0227479 | − | 0.0599813i | ||||
\(244\) | 59.6841 | − | 31.3246i | 3.82088 | − | 2.00535i | ||||
\(245\) | −0.292173 | − | 0.423286i | −0.0186663 | − | 0.0270427i | ||||
\(246\) | −1.16551 | − | 1.68854i | −0.0743103 | − | 0.107657i | ||||
\(247\) | 1.83736 | + | 1.52041i | 0.116909 | + | 0.0967415i | ||||
\(248\) | −29.0328 | + | 42.0613i | −1.84359 | + | 2.67090i | ||||
\(249\) | −8.79944 | −0.557642 | ||||||||
\(250\) | 1.71307 | + | 2.48182i | 0.108344 | + | 0.156964i | ||||
\(251\) | 4.84773 | + | 4.29471i | 0.305986 | + | 0.271080i | 0.802116 | − | 0.597168i | \(-0.203708\pi\) |
−0.496130 | + | 0.868248i | \(0.665246\pi\) | |||||||
\(252\) | 8.16905 | − | 2.01349i | 0.514602 | − | 0.126838i | ||||
\(253\) | −22.4573 | + | 11.7865i | −1.41188 | + | 0.741009i | ||||
\(254\) | −21.7889 | + | 11.4357i | −1.36715 | + | 0.717538i | ||||
\(255\) | 0.234176 | − | 0.0577192i | 0.0146647 | − | 0.00361451i | ||||
\(256\) | −37.6028 | − | 33.3132i | −2.35017 | − | 2.08207i | ||||
\(257\) | −9.59657 | − | 13.9030i | −0.598618 | − | 0.867248i | 0.400171 | − | 0.916440i | \(-0.368951\pi\) |
−0.998789 | + | 0.0491926i | \(0.984335\pi\) | |||||||
\(258\) | −24.1466 | −1.50330 | ||||||||
\(259\) | −1.33311 | + | 1.93134i | −0.0828352 | + | 0.120007i | ||||
\(260\) | 2.10630 | − | 0.595109i | 0.130627 | − | 0.0369071i | ||||
\(261\) | 3.50603 | + | 5.07936i | 0.217018 | + | 0.314405i | ||||
\(262\) | 5.60575 | + | 8.12134i | 0.346325 | + | 0.501738i | ||||
\(263\) | −4.00426 | + | 2.10160i | −0.246913 | + | 0.129590i | −0.583640 | − | 0.812012i | \(-0.698372\pi\) |
0.336727 | + | 0.941602i | \(0.390680\pi\) | |||||||
\(264\) | −15.9999 | − | 42.1883i | −0.984727 | − | 2.59651i | ||||
\(265\) | −0.791350 | + | 0.415333i | −0.0486122 | + | 0.0255137i | ||||
\(266\) | −0.981509 | + | 2.58803i | −0.0601802 | + | 0.158682i | ||||
\(267\) | −7.40666 | − | 1.82558i | −0.453280 | − | 0.111724i | ||||
\(268\) | 37.4149 | 2.28548 | ||||||||
\(269\) | 26.4134 | + | 6.51032i | 1.61045 | + | 0.396941i | 0.938948 | − | 0.344059i | \(-0.111802\pi\) |
0.671505 | + | 0.741000i | \(0.265648\pi\) | |||||||
\(270\) | 0.225998 | − | 0.200216i | 0.0137538 | − | 0.0121848i | ||||
\(271\) | −11.6127 | + | 16.8238i | −0.705419 | + | 1.02198i | 0.292422 | + | 0.956289i | \(0.405539\pi\) |
−0.997840 | + | 0.0656858i | \(0.979077\pi\) | |||||||
\(272\) | 32.6001 | + | 8.03520i | 1.97667 | + | 0.487206i | ||||
\(273\) | −3.99576 | + | 3.78777i | −0.241835 | + | 0.229246i | ||||
\(274\) | 15.7157 | − | 3.87358i | 0.949422 | − | 0.234012i | ||||
\(275\) | −8.29737 | + | 21.8784i | −0.500350 | + | 1.31931i | ||||
\(276\) | −10.5630 | − | 27.8523i | −0.635817 | − | 1.67651i | ||||
\(277\) | 0.778188 | − | 6.40895i | 0.0467568 | − | 0.385077i | −0.950480 | − | 0.310786i | \(-0.899408\pi\) |
0.997237 | − | 0.0742905i | \(-0.0236692\pi\) | |||||||
\(278\) | 37.5692 | − | 33.2834i | 2.25325 | − | 1.99621i | ||||
\(279\) | −1.88428 | − | 4.96843i | −0.112809 | − | 0.297452i | ||||
\(280\) | 0.919236 | + | 1.33174i | 0.0549348 | + | 0.0795869i | ||||
\(281\) | 5.85174 | + | 1.44232i | 0.349086 | + | 0.0860419i | 0.409960 | − | 0.912104i | \(-0.365543\pi\) |
−0.0608742 | + | 0.998145i | \(0.519389\pi\) | |||||||
\(282\) | 27.5372 | − | 6.78730i | 1.63981 | − | 0.404178i | ||||
\(283\) | −5.04498 | − | 4.46946i | −0.299893 | − | 0.265682i | 0.499734 | − | 0.866179i | \(-0.333431\pi\) |
−0.799627 | + | 0.600497i | \(0.794970\pi\) | |||||||
\(284\) | −12.7677 | − | 33.6656i | −0.757621 | − | 1.99768i | ||||
\(285\) | 0.00878422 | + | 0.0723445i | 0.000520332 | + | 0.00428532i | ||||
\(286\) | 35.7107 | + | 29.5505i | 2.11162 | + | 1.74736i | ||||
\(287\) | −0.137807 | + | 1.13494i | −0.00813446 | + | 0.0669933i | ||||
\(288\) | 22.1335 | − | 5.45542i | 1.30423 | − | 0.321464i | ||||
\(289\) | 11.8533 | − | 2.92158i | 0.697253 | − | 0.171857i | ||||
\(290\) | −1.05857 | + | 1.53361i | −0.0621616 | + | 0.0900567i | ||||
\(291\) | −2.63349 | + | 3.81527i | −0.154378 | + | 0.223655i | ||||
\(292\) | 9.68988 | + | 5.08564i | 0.567057 | + | 0.297615i | ||||
\(293\) | 1.58373 | − | 13.0432i | 0.0925223 | − | 0.761990i | −0.870425 | − | 0.492301i | \(-0.836156\pi\) |
0.962947 | − | 0.269689i | \(-0.0869209\pi\) | |||||||
\(294\) | 11.3274 | + | 5.94508i | 0.660628 | + | 0.346724i | ||||
\(295\) | 0.00521442 | − | 0.00461958i | 0.000303595 | − | 0.000268962i | ||||
\(296\) | −8.39675 | + | 12.1648i | −0.488051 | + | 0.707064i | ||||
\(297\) | 4.55485 | + | 1.12267i | 0.264299 | + | 0.0651440i | ||||
\(298\) | 45.4994 | − | 23.8799i | 2.63571 | − | 1.38333i | ||||
\(299\) | 15.0180 | + | 12.4273i | 0.868514 | + | 0.718692i | ||||
\(300\) | −24.3341 | − | 12.7715i | −1.40493 | − | 0.737363i | ||||
\(301\) | 10.0713 | + | 8.92240i | 0.580500 | + | 0.514278i | ||||
\(302\) | −6.21978 | − | 51.2245i | −0.357908 | − | 2.94764i | ||||
\(303\) | 12.1103 | − | 6.35596i | 0.695717 | − | 0.365140i | ||||
\(304\) | −3.59754 | + | 9.48592i | −0.206333 | + | 0.544055i | ||||
\(305\) | −1.30871 | + | 0.322568i | −0.0749365 | + | 0.0184702i | ||||
\(306\) | −4.49022 | + | 3.97799i | −0.256689 | + | 0.227407i | ||||
\(307\) | −14.5653 | − | 12.9037i | −0.831283 | − | 0.736452i | 0.135849 | − | 0.990730i | \(-0.456624\pi\) |
−0.967131 | + | 0.254277i | \(0.918162\pi\) | |||||||
\(308\) | −13.9960 | + | 36.9044i | −0.797497 | + | 2.10283i | ||||
\(309\) | 12.3449 | + | 6.47910i | 0.702277 | + | 0.368583i | ||||
\(310\) | 1.20089 | − | 1.06390i | 0.0682060 | − | 0.0604253i | ||||
\(311\) | 3.66838 | + | 3.24990i | 0.208015 | + | 0.184285i | 0.760697 | − | 0.649107i | \(-0.224857\pi\) |
−0.552682 | + | 0.833392i | \(0.686396\pi\) | |||||||
\(312\) | −25.1679 | + | 23.8578i | −1.42485 | + | 1.35068i | ||||
\(313\) | −15.8843 | + | 14.0722i | −0.897832 | + | 0.795410i | −0.979541 | − | 0.201247i | \(-0.935501\pi\) |
0.0817086 | + | 0.996656i | \(0.473962\pi\) | |||||||
\(314\) | −5.69882 | + | 46.9340i | −0.321603 | + | 2.64864i | ||||
\(315\) | −0.168243 | −0.00947943 | ||||||||
\(316\) | 69.9233 | 3.93350 | ||||||||
\(317\) | −1.38685 | + | 11.4217i | −0.0778932 | + | 0.641508i | 0.900515 | + | 0.434825i | \(0.143190\pi\) |
−0.978408 | + | 0.206683i | \(0.933733\pi\) | |||||||
\(318\) | 12.6276 | − | 18.2942i | 0.708120 | − | 1.02589i | ||||
\(319\) | −28.9534 | −1.62108 | ||||||||
\(320\) | 1.98991 | + | 2.88288i | 0.111239 | + | 0.161158i | ||||
\(321\) | −0.955140 | − | 7.86629i | −0.0533107 | − | 0.439053i | ||||
\(322\) | −8.02253 | + | 21.1537i | −0.447078 | + | 1.17885i | ||||
\(323\) | −0.174529 | − | 1.43737i | −0.00971104 | − | 0.0799776i | ||||
\(324\) | −1.95379 | + | 5.15172i | −0.108544 | + | 0.286207i | ||||
\(325\) | 17.9738 | − | 0.605934i | 0.997006 | − | 0.0336112i | ||||
\(326\) | −5.49616 | − | 14.4922i | −0.304404 | − | 0.802648i | ||||
\(327\) | −18.2780 | + | 9.59304i | −1.01078 | + | 0.530496i | ||||
\(328\) | −0.867994 | + | 7.14857i | −0.0479269 | + | 0.394714i | ||||
\(329\) | −13.9934 | − | 7.34433i | −0.771484 | − | 0.404906i | ||||
\(330\) | 0.170729 | + | 1.40608i | 0.00939830 | + | 0.0774019i | ||||
\(331\) | 0.463772 | + | 3.81951i | 0.0254912 | + | 0.209939i | 0.999889 | − | 0.0148914i | \(-0.00474025\pi\) |
−0.974398 | + | 0.224830i | \(0.927817\pi\) | |||||||
\(332\) | 36.2900 | + | 32.1501i | 1.99167 | + | 1.76447i | ||||
\(333\) | −0.544962 | − | 1.43695i | −0.0298638 | − | 0.0787443i | ||||
\(334\) | −28.9741 | − | 41.9762i | −1.58539 | − | 2.29683i | ||||
\(335\) | −0.726436 | − | 0.179050i | −0.0396894 | − | 0.00978257i | ||||
\(336\) | −20.7387 | − | 10.8845i | −1.13139 | − | 0.593798i | ||||
\(337\) | 24.5055 | 1.33490 | 0.667449 | − | 0.744656i | \(-0.267386\pi\) | ||||
0.667449 | + | 0.744656i | \(0.267386\pi\) | |||||||
\(338\) | 10.3608 | − | 34.0853i | 0.563554 | − | 1.85399i | ||||
\(339\) | −12.7688 | −0.693504 | ||||||||
\(340\) | −1.17666 | − | 0.617556i | −0.0638131 | − | 0.0334917i | ||||
\(341\) | 24.2033 | + | 5.96558i | 1.31068 | + | 0.323054i | ||||
\(342\) | −1.02968 | − | 1.49175i | −0.0556787 | − | 0.0806646i | ||||
\(343\) | −6.31821 | − | 16.6597i | −0.341151 | − | 0.899541i | ||||
\(344\) | 63.4355 | + | 56.1990i | 3.42021 | + | 3.03004i | ||||
\(345\) | 0.0717993 | + | 0.591320i | 0.00386554 | + | 0.0318356i | ||||
\(346\) | −5.48273 | − | 45.1543i | −0.294753 | − | 2.42751i | ||||
\(347\) | −2.10564 | − | 1.10512i | −0.113037 | − | 0.0593262i | 0.407257 | − | 0.913314i | \(-0.366485\pi\) |
−0.520294 | + | 0.853987i | \(0.674178\pi\) | |||||||
\(348\) | 4.09893 | − | 33.7577i | 0.219726 | − | 1.80960i | ||||
\(349\) | 5.73074 | − | 3.00772i | 0.306759 | − | 0.161000i | −0.304318 | − | 0.952570i | \(-0.598429\pi\) |
0.611078 | + | 0.791571i | \(0.290736\pi\) | |||||||
\(350\) | 7.40146 | + | 19.5160i | 0.395625 | + | 1.04318i | ||||
\(351\) | −0.554950 | − | 3.56259i | −0.0296211 | − | 0.190157i | ||||
\(352\) | −37.9213 | + | 99.9902i | −2.02121 | + | 5.32949i | ||||
\(353\) | −3.08928 | − | 25.4425i | −0.164426 | − | 1.35417i | −0.808180 | − | 0.588936i | \(-0.799547\pi\) |
0.643754 | − | 0.765233i | \(-0.277376\pi\) | |||||||
\(354\) | −0.0614432 | + | 0.162012i | −0.00326567 | + | 0.00861086i | ||||
\(355\) | 0.0867850 | + | 0.714739i | 0.00460607 | + | 0.0379344i | ||||
\(356\) | 23.8759 | + | 34.5903i | 1.26542 | + | 1.83328i | ||||
\(357\) | 3.34273 | 0.176916 | ||||||||
\(358\) | −34.5619 | + | 50.0715i | −1.82665 | + | 2.64636i | ||||
\(359\) | 0.445744 | − | 3.67103i | 0.0235254 | − | 0.193749i | −0.976208 | − | 0.216836i | \(-0.930426\pi\) |
0.999733 | + | 0.0230866i | \(0.00734935\pi\) | |||||||
\(360\) | −1.05970 | −0.0558512 | ||||||||
\(361\) | −18.5625 | −0.976973 | ||||||||
\(362\) | 4.64757 | − | 38.2762i | 0.244271 | − | 2.01175i | ||||
\(363\) | −8.23892 | + | 7.29904i | −0.432431 | + | 0.383100i | ||||
\(364\) | 30.3182 | − | 1.02209i | 1.58911 | − | 0.0535721i | ||||
\(365\) | −0.163798 | − | 0.145112i | −0.00857357 | − | 0.00759552i | ||||
\(366\) | 25.0940 | − | 22.2313i | 1.31168 | − | 1.16205i | ||||
\(367\) | −5.83693 | − | 3.06346i | −0.304685 | − | 0.159911i | 0.305451 | − | 0.952208i | \(-0.401193\pi\) |
−0.610136 | + | 0.792297i | \(0.708885\pi\) | |||||||
\(368\) | −29.4051 | + | 77.5348i | −1.53285 | + | 4.04178i | ||||
\(369\) | −0.560407 | − | 0.496477i | −0.0291736 | − | 0.0258456i | ||||
\(370\) | 0.347317 | − | 0.307696i | 0.0180561 | − | 0.0159963i | ||||
\(371\) | −12.0267 | + | 2.96432i | −0.624397 | + | 0.153900i | ||||
\(372\) | −10.3819 | + | 27.3749i | −0.538278 | + | 1.41932i | ||||
\(373\) | −3.50923 | + | 1.84179i | −0.181701 | + | 0.0953642i | −0.553121 | − | 0.833101i | \(-0.686563\pi\) |
0.371420 | + | 0.928465i | \(0.378871\pi\) | |||||||
\(374\) | −3.39211 | − | 27.9366i | −0.175402 | − | 1.44457i | ||||
\(375\) | 0.823688 | + | 0.729724i | 0.0425351 | + | 0.0376828i | ||||
\(376\) | −88.1397 | − | 46.2593i | −4.54546 | − | 2.38564i | ||||
\(377\) | 8.58761 | + | 20.5293i | 0.442284 | + | 1.05731i | ||||
\(378\) | 3.70532 | − | 1.94470i | 0.190581 | − | 0.100025i | ||||
\(379\) | −18.6118 | − | 4.58739i | −0.956023 | − | 0.235638i | −0.269707 | − | 0.962942i | \(-0.586927\pi\) |
−0.686316 | + | 0.727304i | \(0.740773\pi\) | |||||||
\(380\) | 0.228095 | − | 0.330452i | 0.0117010 | − | 0.0169518i | ||||
\(381\) | −6.72128 | + | 5.95454i | −0.344342 | + | 0.305060i | ||||
\(382\) | −4.75404 | − | 2.49511i | −0.243238 | − | 0.127661i | ||||
\(383\) | 3.33193 | − | 27.4409i | 0.170253 | − | 1.40216i | −0.617693 | − | 0.786419i | \(-0.711933\pi\) |
0.787946 | − | 0.615744i | \(-0.211144\pi\) | |||||||
\(384\) | −36.7781 | − | 19.3026i | −1.87682 | − | 0.985033i | ||||
\(385\) | 0.448349 | − | 0.649546i | 0.0228500 | − | 0.0331039i | ||||
\(386\) | 16.5705 | − | 24.0065i | 0.843417 | − | 1.22190i | ||||
\(387\) | −8.55531 | + | 2.10870i | −0.434891 | + | 0.107191i | ||||
\(388\) | 24.8005 | − | 6.11277i | 1.25905 | − | 0.310329i | ||||
\(389\) | −1.76171 | + | 14.5090i | −0.0893221 | + | 0.735634i | 0.877392 | + | 0.479774i | \(0.159282\pi\) |
−0.966714 | + | 0.255859i | \(0.917642\pi\) | |||||||
\(390\) | 0.946335 | − | 0.538098i | 0.0479195 | − | 0.0272477i | ||||
\(391\) | −1.42654 | − | 11.7486i | −0.0721433 | − | 0.594153i | ||||
\(392\) | −15.9216 | − | 41.9818i | −0.804162 | − | 2.12040i | ||||
\(393\) | 2.69539 | + | 2.38790i | 0.135964 | + | 0.120454i | ||||
\(394\) | −37.3969 | + | 9.21750i | −1.88403 | + | 0.464371i | ||||
\(395\) | −1.35761 | − | 0.334620i | −0.0683087 | − | 0.0168366i | ||||
\(396\) | −14.6829 | − | 21.2719i | −0.737844 | − | 1.06895i | ||||
\(397\) | 10.6873 | + | 28.1800i | 0.536378 | + | 1.41431i | 0.879896 | + | 0.475166i | \(0.157612\pi\) |
−0.343518 | + | 0.939146i | \(0.611619\pi\) | |||||||
\(398\) | −31.0336 | + | 27.4933i | −1.55557 | + | 1.37812i | ||||
\(399\) | −0.121746 | + | 1.00267i | −0.00609494 | + | 0.0501963i | ||||
\(400\) | 27.1286 | + | 71.5324i | 1.35643 | + | 3.57662i | ||||
\(401\) | 3.33306 | − | 8.78855i | 0.166445 | − | 0.438879i | −0.825679 | − | 0.564140i | \(-0.809208\pi\) |
0.992124 | + | 0.125261i | \(0.0399769\pi\) | |||||||
\(402\) | 18.0683 | − | 4.45345i | 0.901167 | − | 0.222118i | ||||
\(403\) | −2.94886 | − | 18.9307i | −0.146893 | − | 0.943003i | ||||
\(404\) | −73.1667 | − | 18.0340i | −3.64018 | − | 0.897224i | ||||
\(405\) | 0.0625879 | − | 0.0906742i | 0.00311002 | − | 0.00450564i | ||||
\(406\) | −19.3319 | + | 17.1266i | −0.959426 | + | 0.849977i | ||||
\(407\) | 6.99997 | + | 1.72534i | 0.346976 | + | 0.0855218i | ||||
\(408\) | 21.0547 | 1.04236 | ||||||||
\(409\) | 12.6129 | + | 3.10880i | 0.623668 | + | 0.153720i | 0.538472 | − | 0.842644i | \(-0.319002\pi\) |
0.0851968 | + | 0.996364i | \(0.472848\pi\) | |||||||
\(410\) | 0.0801597 | − | 0.211364i | 0.00395880 | − | 0.0104385i | ||||
\(411\) | 5.22992 | − | 2.74487i | 0.257973 | − | 0.135395i | ||||
\(412\) | −27.2395 | − | 71.8246i | −1.34199 | − | 3.53854i | ||||
\(413\) | 0.0854925 | − | 0.0448699i | 0.00420681 | − | 0.00220790i | ||||
\(414\) | −8.41627 | − | 12.1931i | −0.413637 | − | 0.599257i | ||||
\(415\) | −0.550738 | − | 0.797882i | −0.0270347 | − | 0.0391665i | ||||
\(416\) | 82.1452 | − | 2.76929i | 4.02750 | − | 0.135775i | ||||
\(417\) | 10.4044 | − | 15.0734i | 0.509508 | − | 0.738149i | ||||
\(418\) | 8.50327 | 0.415908 | ||||||||
\(419\) | 13.4784 | + | 19.5268i | 0.658461 | + | 0.953946i | 0.999901 | + | 0.0140421i | \(0.00446990\pi\) |
−0.341440 | + | 0.939903i | \(0.610915\pi\) | |||||||
\(420\) | 0.693855 | + | 0.614702i | 0.0338567 | + | 0.0299944i | ||||
\(421\) | 20.1096 | − | 4.95657i | 0.980081 | − | 0.241568i | 0.283441 | − | 0.958990i | \(-0.408524\pi\) |
0.696639 | + | 0.717421i | \(0.254678\pi\) | |||||||
\(422\) | 39.6274 | − | 20.7981i | 1.92903 | − | 1.01243i | ||||
\(423\) | 9.16389 | − | 4.80958i | 0.445563 | − | 0.233850i | ||||
\(424\) | −75.7520 | + | 18.6712i | −3.67884 | + | 0.906753i | ||||
\(425\) | −8.17276 | − | 7.24044i | −0.396437 | − | 0.351213i | ||||
\(426\) | −10.1729 | − | 14.7380i | −0.492878 | − | 0.714057i | ||||
\(427\) | −18.6811 | −0.904043 | ||||||||
\(428\) | −24.8016 | + | 35.9313i | −1.19883 | + | 1.73680i | ||||
\(429\) | 15.2332 | + | 7.35137i | 0.735464 | + | 0.354927i | ||||
\(430\) | −1.51128 | − | 2.18947i | −0.0728806 | − | 0.105586i | ||||
\(431\) | 3.42904 | + | 4.96782i | 0.165171 | + | 0.239292i | 0.896826 | − | 0.442384i | \(-0.145867\pi\) |
−0.731655 | + | 0.681675i | \(0.761252\pi\) | |||||||
\(432\) | 13.5811 | − | 7.12793i | 0.653423 | − | 0.342943i | ||||
\(433\) | 0.972586 | + | 2.56450i | 0.0467395 | + | 0.123242i | 0.956353 | − | 0.292213i | \(-0.0943916\pi\) |
−0.909614 | + | 0.415455i | \(0.863622\pi\) | |||||||
\(434\) | 19.6891 | − | 10.3336i | 0.945106 | − | 0.496030i | ||||
\(435\) | −0.241132 | + | 0.635813i | −0.0115614 | + | 0.0304849i | ||||
\(436\) | 110.430 | + | 27.2186i | 5.28866 | + | 1.30354i | ||||
\(437\) | 3.57602 | 0.171064 | ||||||||
\(438\) | 5.28475 | + | 1.30257i | 0.252515 | + | 0.0622394i | ||||
\(439\) | −7.42631 | + | 6.57914i | −0.354439 | + | 0.314005i | −0.821488 | − | 0.570226i | \(-0.806856\pi\) |
0.467049 | + | 0.884231i | \(0.345317\pi\) | |||||||
\(440\) | 2.82399 | − | 4.09126i | 0.134628 | − | 0.195043i | ||||
\(441\) | 4.53256 | + | 1.11718i | 0.215836 | + | 0.0531988i | ||||
\(442\) | −18.8022 | + | 10.6912i | −0.894330 | + | 0.508528i | ||||
\(443\) | −29.3311 | + | 7.22947i | −1.39356 | + | 0.343483i | −0.863446 | − | 0.504441i | \(-0.831699\pi\) |
−0.530118 | + | 0.847924i | \(0.677852\pi\) | |||||||
\(444\) | −3.00262 | + | 7.91725i | −0.142498 | + | 0.375736i | ||||
\(445\) | −0.298034 | − | 0.785852i | −0.0141282 | − | 0.0372529i | ||||
\(446\) | −5.43223 | + | 44.7385i | −0.257224 | + | 2.11843i | ||||
\(447\) | 14.0354 | − | 12.4342i | 0.663849 | − | 0.588119i | ||||
\(448\) | 17.2160 | + | 45.3948i | 0.813379 | + | 2.14470i | ||||
\(449\) | 9.27106 | + | 13.4314i | 0.437528 | + | 0.633869i | 0.978274 | − | 0.207317i | \(-0.0664732\pi\) |
−0.540745 | + | 0.841186i | \(0.681858\pi\) | |||||||
\(450\) | −13.2715 | − | 3.27114i | −0.625626 | − | 0.154203i | ||||
\(451\) | 3.41020 | − | 0.840539i | 0.160580 | − | 0.0395794i | ||||
\(452\) | 52.6599 | + | 46.6526i | 2.47691 | + | 2.19435i | ||||
\(453\) | −6.67709 | − | 17.6060i | −0.313717 | − | 0.827204i | ||||
\(454\) | 1.06687 | + | 8.78646i | 0.0500707 | + | 0.412369i | ||||
\(455\) | −0.593539 | − | 0.125244i | −0.0278255 | − | 0.00587153i | ||||
\(456\) | −0.766836 | + | 6.31546i | −0.0359104 | + | 0.295749i | ||||
\(457\) | −26.9821 | + | 6.65048i | −1.26217 | + | 0.311096i | −0.812954 | − | 0.582328i | \(-0.802142\pi\) |
−0.449213 | + | 0.893424i | \(0.648296\pi\) | |||||||
\(458\) | −25.4602 | + | 6.27538i | −1.18968 | + | 0.293229i | ||||
\(459\) | −1.24352 | + | 1.80156i | −0.0580428 | + | 0.0840895i | ||||
\(460\) | 1.86437 | − | 2.70101i | 0.0869267 | − | 0.125935i | ||||
\(461\) | 15.0618 | + | 7.90503i | 0.701497 | + | 0.368174i | 0.777456 | − | 0.628937i | \(-0.216510\pi\) |
−0.0759594 | + | 0.997111i | \(0.524202\pi\) | |||||||
\(462\) | −2.36624 | + | 19.4877i | −0.110087 | + | 0.906651i | ||||
\(463\) | 33.9524 | + | 17.8196i | 1.57790 | + | 0.828146i | 0.999927 | + | 0.0120897i | \(0.00384838\pi\) |
0.577973 | + | 0.816056i | \(0.303844\pi\) | |||||||
\(464\) | −70.8574 | + | 62.7742i | −3.28947 | + | 2.91422i | ||||
\(465\) | 0.332576 | − | 0.481819i | 0.0154228 | − | 0.0223438i | ||||
\(466\) | 47.9433 | + | 11.8170i | 2.22093 | + | 0.547410i | ||||
\(467\) | 8.85822 | − | 4.64915i | 0.409910 | − | 0.215137i | −0.247148 | − | 0.968978i | \(-0.579493\pi\) |
0.657057 | + | 0.753841i | \(0.271801\pi\) | |||||||
\(468\) | −10.7278 | + | 16.7201i | −0.495891 | + | 0.772889i | ||||
\(469\) | −9.18171 | − | 4.81893i | −0.423972 | − | 0.222518i | ||||
\(470\) | 2.33893 | + | 2.07211i | 0.107887 | + | 0.0955792i | ||||
\(471\) | 2.07956 | + | 17.1267i | 0.0958211 | + | 0.789158i | ||||
\(472\) | 0.538486 | − | 0.282619i | 0.0247858 | − | 0.0130086i | ||||
\(473\) | 14.6578 | − | 38.6494i | 0.673966 | − | 1.77710i | ||||
\(474\) | 33.7672 | − | 8.32287i | 1.55098 | − | 0.382282i | ||||
\(475\) | 2.46947 | − | 2.18776i | 0.113307 | − | 0.100381i | ||||
\(476\) | −13.7858 | − | 12.2132i | −0.631873 | − | 0.559790i | ||||
\(477\) | 2.87643 | − | 7.58453i | 0.131703 | − | 0.347272i | ||||
\(478\) | 29.0822 | + | 15.2635i | 1.33019 | + | 0.698137i | ||||
\(479\) | −17.9912 | + | 15.9388i | −0.822040 | + | 0.728264i | −0.965222 | − | 0.261433i | \(-0.915805\pi\) |
0.143182 | + | 0.989696i | \(0.454267\pi\) | |||||||
\(480\) | 1.87995 | + | 1.66549i | 0.0858078 | + | 0.0760191i | ||||
\(481\) | −0.852857 | − | 5.47504i | −0.0388869 | − | 0.249640i | ||||
\(482\) | 44.2108 | − | 39.1674i | 2.01375 | − | 1.78402i | ||||
\(483\) | −0.995114 | + | 8.19550i | −0.0452792 | + | 0.372908i | ||||
\(484\) | 60.6465 | 2.75666 | ||||||||
\(485\) | −0.510771 | −0.0231929 | ||||||||
\(486\) | −0.330318 | + | 2.72042i | −0.0149835 | + | 0.123401i | ||||
\(487\) | −17.8859 | + | 25.9122i | −0.810486 | + | 1.17419i | 0.171490 | + | 0.985186i | \(0.445142\pi\) |
−0.981976 | + | 0.189006i | \(0.939473\pi\) | |||||||
\(488\) | −117.666 | −5.32647 | ||||||||
\(489\) | −3.21292 | − | 4.65471i | −0.145293 | − | 0.210493i | ||||
\(490\) | 0.169893 | + | 1.39919i | 0.00767498 | + | 0.0632091i | ||||
\(491\) | 10.5861 | − | 27.9134i | 0.477746 | − | 1.25971i | −0.452167 | − | 0.891933i | \(-0.649349\pi\) |
0.929913 | − | 0.367780i | \(-0.119882\pi\) | |||||||
\(492\) | 0.497231 | + | 4.09507i | 0.0224169 | + | 0.184620i | ||||
\(493\) | 4.79092 | − | 12.6326i | 0.215772 | − | 0.568945i | ||||
\(494\) | −2.52208 | − | 6.02921i | −0.113474 | − | 0.271267i | ||||
\(495\) | 0.183281 | + | 0.483273i | 0.00823788 | + | 0.0217215i | ||||
\(496\) | 72.1666 | − | 37.8759i | 3.24037 | − | 1.70068i | ||||
\(497\) | −1.20281 | + | 9.90604i | −0.0539535 | + | 0.444347i | ||||
\(498\) | 21.3518 | + | 11.2063i | 0.956799 | + | 0.502167i | ||||
\(499\) | −0.634084 | − | 5.22215i | −0.0283855 | − | 0.233776i | 0.971611 | − | 0.236586i | \(-0.0760285\pi\) |
−0.999996 | + | 0.00281034i | \(0.999105\pi\) | |||||||
\(500\) | −0.730832 | − | 6.01894i | −0.0326838 | − | 0.269175i | ||||
\(501\) | −13.9315 | − | 12.3422i | −0.622411 | − | 0.551408i | ||||
\(502\) | −6.29358 | − | 16.5948i | −0.280896 | − | 0.740663i | ||||
\(503\) | −16.8305 | − | 24.3833i | −0.750437 | − | 1.08720i | −0.993121 | − | 0.117090i | \(-0.962643\pi\) |
0.242684 | − | 0.970105i | \(-0.421972\pi\) | |||||||
\(504\) | −14.2603 | − | 3.51486i | −0.635206 | − | 0.156564i | ||||
\(505\) | 1.33428 | + | 0.700283i | 0.0593746 | + | 0.0311622i | ||||
\(506\) | 69.5029 | 3.08978 | ||||||||
\(507\) | 0.694283 | − | 12.9814i | 0.0308342 | − | 0.576526i | ||||
\(508\) | 49.4752 | 2.19511 | ||||||||
\(509\) | −25.6596 | − | 13.4672i | −1.13734 | − | 0.596923i | −0.212457 | − | 0.977170i | \(-0.568147\pi\) |
−0.924885 | + | 0.380247i | \(0.875839\pi\) | |||||||
\(510\) | −0.641735 | − | 0.158173i | −0.0284165 | − | 0.00700403i | ||||
\(511\) | −1.72290 | − | 2.49606i | −0.0762167 | − | 0.110419i | ||||
\(512\) | 19.3604 | + | 51.0493i | 0.855619 | + | 2.25608i | ||||
\(513\) | −0.495096 | − | 0.438617i | −0.0218590 | − | 0.0193654i | ||||
\(514\) | 5.58021 | + | 45.9572i | 0.246133 | + | 2.02709i | ||||
\(515\) | 0.185154 | + | 1.52488i | 0.00815884 | + | 0.0671941i | ||||
\(516\) | 42.9876 | + | 22.5616i | 1.89242 | + | 0.993220i | ||||
\(517\) | −5.85212 | + | 48.1965i | −0.257376 | + | 2.11968i | ||||
\(518\) | 5.69439 | − | 2.98865i | 0.250197 | − | 0.131314i | ||||
\(519\) | −5.88584 | − | 15.5197i | −0.258360 | − | 0.681239i | ||||
\(520\) | −3.73849 | − | 0.788867i | −0.163944 | − | 0.0345941i | ||||
\(521\) | 4.44719 | − | 11.7263i | 0.194835 | − | 0.513737i | −0.801623 | − | 0.597830i | \(-0.796030\pi\) |
0.996458 | + | 0.0840925i | \(0.0267991\pi\) | |||||||
\(522\) | −2.03869 | − | 16.7901i | −0.0892309 | − | 0.734883i | ||||
\(523\) | 5.03128 | − | 13.2664i | 0.220003 | − | 0.580099i | −0.778889 | − | 0.627161i | \(-0.784217\pi\) |
0.998892 | + | 0.0470621i | \(0.0149859\pi\) | |||||||
\(524\) | −2.39153 | − | 19.6960i | −0.104474 | − | 0.860424i | ||||
\(525\) | 4.32670 | + | 6.26831i | 0.188833 | + | 0.273572i | ||||
\(526\) | 12.3928 | 0.540350 | ||||||||
\(527\) | −6.60776 | + | 9.57300i | −0.287839 | + | 0.417006i | ||||
\(528\) | −8.67300 | + | 71.4286i | −0.377444 | + | 3.10853i | ||||
\(529\) | 6.22920 | 0.270835 | ||||||||
\(530\) | 2.44915 | 0.106384 | ||||||||
\(531\) | −0.00762141 | + | 0.0627679i | −0.000330741 | + | 0.00272390i | ||||
\(532\) | 4.16551 | − | 3.69032i | 0.180598 | − | 0.159995i | ||||
\(533\) | −1.60745 | − | 2.16869i | −0.0696265 | − | 0.0939362i | ||||
\(534\) | 15.6473 | + | 13.8623i | 0.677126 | + | 0.599882i | ||||
\(535\) | 0.653489 | − | 0.578941i | 0.0282528 | − | 0.0250298i | ||||
\(536\) | −57.8323 | − | 30.3527i | −2.49798 | − | 1.31104i | ||||
\(537\) | −7.87283 | + | 20.7589i | −0.339738 | + | 0.895815i | ||||
\(538\) | −55.8010 | − | 49.4354i | −2.40575 | − | 2.13131i | ||||
\(539\) | −16.3919 | + | 14.5220i | −0.706049 | + | 0.625505i | ||||
\(540\) | −0.589412 | + | 0.145277i | −0.0253643 | + | 0.00625173i | ||||
\(541\) | −7.51596 | + | 19.8180i | −0.323136 | + | 0.852040i | 0.670755 | + | 0.741679i | \(0.265970\pi\) |
−0.993892 | + | 0.110362i | \(0.964799\pi\) | |||||||
\(542\) | 49.6037 | − | 26.0340i | 2.13066 | − | 1.11826i | ||||
\(543\) | −1.69595 | − | 13.9674i | −0.0727801 | − | 0.599398i | ||||
\(544\) | −37.3518 | − | 33.0908i | −1.60145 | − | 1.41876i | ||||
\(545\) | −2.01382 | − | 1.05694i | −0.0862627 | − | 0.0452742i | ||||
\(546\) | 14.5195 | − | 4.10232i | 0.621379 | − | 0.175563i | ||||
\(547\) | 15.7692 | − | 8.27631i | 0.674242 | − | 0.353870i | −0.0926017 | − | 0.995703i | \(-0.529518\pi\) |
0.766844 | + | 0.641834i | \(0.221826\pi\) | |||||||
\(548\) | −31.5976 | − | 7.78812i | −1.34978 | − | 0.332692i | ||||
\(549\) | 6.94954 | − | 10.0681i | 0.296599 | − | 0.429698i | ||||
\(550\) | 47.9962 | − | 42.5209i | 2.04656 | − | 1.81310i | ||||
\(551\) | 3.61473 | + | 1.89716i | 0.153993 | + | 0.0808217i | ||||
\(552\) | −6.26786 | + | 51.6205i | −0.266778 | + | 2.19711i | ||||
\(553\) | −17.1593 | − | 9.00592i | −0.729690 | − | 0.382971i | ||||
\(554\) | −10.0502 | + | 14.5603i | −0.426993 | + | 0.618607i | ||||
\(555\) | 0.0961860 | − | 0.139350i | 0.00408287 | − | 0.00591506i | ||||
\(556\) | −97.9823 | + | 24.1505i | −4.15537 | + | 1.02421i | ||||
\(557\) | −19.9607 | + | 4.91987i | −0.845762 | + | 0.208462i | −0.638306 | − | 0.769783i | \(-0.720365\pi\) |
−0.207456 | + | 0.978244i | \(0.566518\pi\) | |||||||
\(558\) | −1.75522 | + | 14.4556i | −0.0743046 | + | 0.611953i | ||||
\(559\) | −31.7518 | + | 1.07042i | −1.34296 | + | 0.0452739i | ||||
\(560\) | −0.311047 | − | 2.56170i | −0.0131441 | − | 0.108252i | ||||
\(561\) | −3.64152 | − | 9.60189i | −0.153745 | − | 0.405392i | ||||
\(562\) | −12.3624 | − | 10.9521i | −0.521477 | − | 0.461988i | ||||
\(563\) | 31.1054 | − | 7.66680i | 1.31094 | − | 0.323117i | 0.478917 | − | 0.877860i | \(-0.341030\pi\) |
0.832022 | + | 0.554743i | \(0.187183\pi\) | |||||||
\(564\) | −55.3655 | − | 13.6464i | −2.33131 | − | 0.574616i | ||||
\(565\) | −0.799169 | − | 1.15780i | −0.0336213 | − | 0.0487089i | ||||
\(566\) | 6.54967 | + | 17.2701i | 0.275303 | + | 0.725915i | ||||
\(567\) | 1.14299 | − | 1.01260i | 0.0480011 | − | 0.0425253i | ||||
\(568\) | −7.57607 | + | 62.3946i | −0.317885 | + | 2.61802i | ||||
\(569\) | −14.7628 | − | 38.9264i | −0.618890 | − | 1.63188i | −0.766062 | − | 0.642767i | \(-0.777786\pi\) |
0.147173 | − | 0.989111i | \(-0.452983\pi\) | |||||||
\(570\) | 0.0708177 | − | 0.186731i | 0.00296623 | − | 0.00782130i | ||||
\(571\) | 2.55407 | − | 0.629521i | 0.106884 | − | 0.0263447i | −0.185511 | − | 0.982642i | \(-0.559394\pi\) |
0.292395 | + | 0.956298i | \(0.405548\pi\) | |||||||
\(572\) | −35.9641 | − | 85.9746i | −1.50373 | − | 3.59478i | ||||
\(573\) | −1.90228 | − | 0.468871i | −0.0794690 | − | 0.0195874i | ||||
\(574\) | 1.77976 | − | 2.57843i | 0.0742858 | − | 0.107622i | ||||
\(575\) | 20.1846 | − | 17.8820i | 0.841757 | − | 0.745732i | ||||
\(576\) | −30.8699 | − | 7.60875i | −1.28625 | − | 0.317031i | ||||
\(577\) | −6.95608 | −0.289585 | −0.144793 | − | 0.989462i | \(-0.546252\pi\) | ||||
−0.144793 | + | 0.989462i | \(0.546252\pi\) | |||||||
\(578\) | −32.4827 | − | 8.00627i | −1.35110 | − | 0.333017i | ||||
\(579\) | 3.77459 | − | 9.95277i | 0.156867 | − | 0.413623i | ||||
\(580\) | 3.31750 | − | 1.74116i | 0.137752 | − | 0.0722976i | ||||
\(581\) | −4.76480 | − | 12.5637i | −0.197677 | − | 0.521232i | ||||
\(582\) | 11.2490 | − | 5.90393i | 0.466286 | − | 0.244726i | ||||
\(583\) | 21.6166 | + | 31.3171i | 0.895270 | + | 1.29702i | ||||
\(584\) | −10.8519 | − | 15.7218i | −0.449057 | − | 0.650571i | ||||
\(585\) | 0.288302 | − | 0.273294i | 0.0119198 | − | 0.0112993i | ||||
\(586\) | −20.4537 | + | 29.6323i | −0.844935 | + | 1.22410i | ||||
\(587\) | 5.86347 | 0.242011 | 0.121006 | − | 0.992652i | \(-0.461388\pi\) | ||||
0.121006 | + | 0.992652i | \(0.461388\pi\) | |||||||
\(588\) | −14.6110 | − | 21.1678i | −0.602549 | − | 0.872943i | ||||
\(589\) | −2.63081 | − | 2.33069i | −0.108401 | − | 0.0960346i | ||||
\(590\) | −0.0185359 | + | 0.00456870i | −0.000763113 | + | 0.000188090i | ||||
\(591\) | −12.4450 | + | 6.53165i | −0.511920 | + | 0.268676i | ||||
\(592\) | 20.8717 | − | 10.9543i | 0.857822 | − | 0.450220i | ||||
\(593\) | 32.4569 | − | 7.99990i | 1.33284 | − | 0.328517i | 0.492378 | − | 0.870381i | \(-0.336128\pi\) |
0.840466 | + | 0.541865i | \(0.182281\pi\) | |||||||
\(594\) | −9.62260 | − | 8.52488i | −0.394820 | − | 0.349780i | ||||
\(595\) | 0.209215 | + | 0.303100i | 0.00857696 | + | 0.0124259i | ||||
\(596\) | −103.314 | −4.23190 | ||||||||
\(597\) | −8.59445 | + | 12.4512i | −0.351748 | + | 0.509594i | ||||
\(598\) | −20.6147 | − | 49.2808i | −0.842996 | − | 2.01524i | ||||
\(599\) | 21.0140 | + | 30.4440i | 0.858607 | + | 1.24391i | 0.968262 | + | 0.249937i | \(0.0804100\pi\) |
−0.109655 | + | 0.993970i | \(0.534975\pi\) | |||||||
\(600\) | 27.2523 | + | 39.4818i | 1.11257 | + | 1.61184i | ||||
\(601\) | 24.6788 | − | 12.9524i | 1.00667 | − | 0.528340i | 0.120997 | − | 0.992653i | \(-0.461391\pi\) |
0.885671 | + | 0.464313i | \(0.153699\pi\) | |||||||
\(602\) | −13.0751 | − | 34.4763i | −0.532902 | − | 1.40515i | ||||
\(603\) | 6.01283 | − | 3.15578i | 0.244861 | − | 0.128513i | ||||
\(604\) | −36.7892 | + | 97.0052i | −1.49693 | + | 3.94709i | ||||
\(605\) | −1.17749 | − | 0.290226i | −0.0478718 | − | 0.0117993i | ||||
\(606\) | −37.4801 | −1.52252 | ||||||||
\(607\) | −5.67937 | − | 1.39984i | −0.230519 | − | 0.0568177i | 0.122364 | − | 0.992485i | \(-0.460952\pi\) |
−0.352883 | + | 0.935668i | \(0.614799\pi\) | |||||||
\(608\) | 11.2862 | − | 9.99867i | 0.457714 | − | 0.405500i | ||||
\(609\) | −5.35378 | + | 7.75629i | −0.216946 | + | 0.314301i | ||||
\(610\) | 3.58638 | + | 0.883964i | 0.145208 | + | 0.0357907i | ||||
\(611\) | 35.9093 | − | 10.1457i | 1.45274 | − | 0.410453i | ||||
\(612\) | 11.7107 | − | 2.88643i | 0.473377 | − | 0.116677i | ||||
\(613\) | 5.29855 | − | 13.9711i | 0.214006 | − | 0.564289i | −0.784428 | − | 0.620220i | \(-0.787043\pi\) |
0.998435 | + | 0.0559311i | \(0.0178127\pi\) | |||||||
\(614\) | 18.9094 | + | 49.8600i | 0.763122 | + | 2.01219i | ||||
\(615\) | 0.00994299 | − | 0.0818879i | 0.000400940 | − | 0.00330204i | ||||
\(616\) | 51.5722 | − | 45.6890i | 2.07790 | − | 1.84086i | ||||
\(617\) | −10.1017 | − | 26.6360i | −0.406679 | − | 1.07232i | −0.969359 | − | 0.245649i | \(-0.920999\pi\) |
0.562680 | − | 0.826675i | \(-0.309770\pi\) | |||||||
\(618\) | −21.7036 | − | 31.4431i | −0.873046 | − | 1.26483i | ||||
\(619\) | −5.78022 | − | 1.42470i | −0.232327 | − | 0.0572634i | 0.121433 | − | 0.992600i | \(-0.461251\pi\) |
−0.353760 | + | 0.935336i | \(0.615097\pi\) | |||||||
\(620\) | −3.13198 | + | 0.771964i | −0.125783 | + | 0.0310028i | ||||
\(621\) | −4.04675 | − | 3.58511i | −0.162391 | − | 0.143865i | ||||
\(622\) | −4.76249 | − | 12.5576i | −0.190958 | − | 0.503516i | ||||
\(623\) | −1.40408 | − | 11.5637i | −0.0562535 | − | 0.463289i | ||||
\(624\) | 53.2186 | − | 15.0363i | 2.13045 | − | 0.601932i | ||||
\(625\) | 2.99149 | − | 24.6371i | 0.119659 | − | 0.985484i | ||||
\(626\) | 56.4645 | − | 13.9173i | 2.25678 | − | 0.556245i | ||||
\(627\) | 3.01277 | − | 0.742581i | 0.120318 | − | 0.0296558i | ||||
\(628\) | 53.9987 | − | 78.2306i | 2.15478 | − | 3.12174i | ||||
\(629\) | −1.91107 | + | 2.76866i | −0.0761993 | + | 0.110394i | ||||
\(630\) | 0.408242 | + | 0.214262i | 0.0162647 | + | 0.00853640i | ||||
\(631\) | 3.31358 | − | 27.2898i | 0.131912 | − | 1.08639i | −0.764953 | − | 0.644086i | \(-0.777238\pi\) |
0.896865 | − | 0.442305i | \(-0.145839\pi\) | |||||||
\(632\) | −108.081 | − | 56.7250i | −4.29921 | − | 2.25640i | ||||
\(633\) | 12.2240 | − | 10.8295i | 0.485861 | − | 0.430435i | ||||
\(634\) | 17.9110 | − | 25.9486i | 0.711339 | − | 1.03055i | ||||
\(635\) | −0.960594 | − | 0.236765i | −0.0381200 | − | 0.00939573i | ||||
\(636\) | −39.5740 | + | 20.7700i | −1.56921 | + | 0.823585i | ||||
\(637\) | 15.1586 | + | 7.31538i | 0.600606 | + | 0.289846i | ||||
\(638\) | 70.2554 | + | 36.8729i | 2.78144 | + | 1.45981i | ||||
\(639\) | −4.89138 | − | 4.33338i | −0.193500 | − | 0.171426i | ||||
\(640\) | −0.551612 | − | 4.54293i | −0.0218044 | − | 0.179575i | ||||
\(641\) | −38.9636 | + | 20.4497i | −1.53897 | + | 0.807713i | −0.999414 | − | 0.0342368i | \(-0.989100\pi\) |
−0.539555 | + | 0.841950i | \(0.681408\pi\) | |||||||
\(642\) | −7.70027 | + | 20.3039i | −0.303905 | + | 0.801333i | ||||
\(643\) | −31.8347 | + | 7.84656i | −1.25544 | + | 0.309438i | −0.810296 | − | 0.586021i | \(-0.800693\pi\) |
−0.445143 | + | 0.895459i | \(0.646847\pi\) | |||||||
\(644\) | 34.0475 | − | 30.1634i | 1.34166 | − | 1.18861i | ||||
\(645\) | −0.726663 | − | 0.643767i | −0.0286123 | − | 0.0253483i | ||||
\(646\) | −1.40704 | + | 3.71006i | −0.0553592 | + | 0.145970i | ||||
\(647\) | −22.2837 | − | 11.6954i | −0.876062 | − | 0.459793i | −0.0341554 | − | 0.999417i | \(-0.510874\pi\) |
−0.841906 | + | 0.539624i | \(0.818566\pi\) | |||||||
\(648\) | 7.19929 | − | 6.37802i | 0.282815 | − | 0.250552i | ||||
\(649\) | −0.222022 | − | 0.196694i | −0.00871511 | − | 0.00772091i | ||||
\(650\) | −44.3850 | − | 21.4198i | −1.74092 | − | 0.840152i | ||||
\(651\) | 6.07356 | − | 5.38070i | 0.238041 | − | 0.210886i | ||||
\(652\) | −3.75625 | + | 30.9355i | −0.147106 | + | 1.21153i | ||||
\(653\) | −32.3198 | −1.26477 | −0.632386 | − | 0.774653i | \(-0.717925\pi\) | ||||
−0.632386 | + | 0.774653i | \(0.717925\pi\) | |||||||
\(654\) | 56.5686 | 2.21201 | ||||||||
\(655\) | −0.0478227 | + | 0.393856i | −0.00186859 | + | 0.0153892i | ||||
\(656\) | 6.52338 | − | 9.45074i | 0.254695 | − | 0.368990i | ||||
\(657\) | 1.98618 | 0.0774881 | ||||||||
\(658\) | 24.6019 | + | 35.6420i | 0.959082 | + | 1.38947i | ||||
\(659\) | −0.389197 | − | 3.20533i | −0.0151610 | − | 0.124862i | 0.983163 | − | 0.182729i | \(-0.0584931\pi\) |
−0.998324 | + | 0.0578672i | \(0.981570\pi\) | |||||||
\(660\) | 1.00984 | − | 2.66272i | 0.0393079 | − | 0.103646i | ||||
\(661\) | 5.37722 | + | 44.2854i | 0.209150 | + | 1.72250i | 0.598251 | + | 0.801309i | \(0.295862\pi\) |
−0.389102 | + | 0.921195i | \(0.627214\pi\) | |||||||
\(662\) | 3.73890 | − | 9.85866i | 0.145316 | − | 0.383168i | ||||
\(663\) | −5.72811 | + | 5.42994i | −0.222461 | + | 0.210881i | ||||
\(664\) | −30.0118 | − | 79.1345i | −1.16468 | − | 3.07102i | ||||
\(665\) | −0.0985362 | + | 0.0517158i | −0.00382107 | + | 0.00200545i | ||||
\(666\) | −0.507638 | + | 4.18078i | −0.0196706 | + | 0.162002i | ||||
\(667\) | 29.5456 | + | 15.5067i | 1.14401 | + | 0.600424i | ||||
\(668\) | 12.3609 | + | 101.801i | 0.478258 | + | 3.93881i | ||||
\(669\) | 1.98228 | + | 16.3255i | 0.0766394 | + | 0.631182i | ||||
\(670\) | 1.53467 | + | 1.35960i | 0.0592895 | + | 0.0525259i | ||||
\(671\) | 20.3509 | + | 53.6609i | 0.785638 | + | 2.07156i | ||||
\(672\) | 19.7742 | + | 28.6479i | 0.762808 | + | 1.10512i | ||||
\(673\) | −0.491606 | − | 0.121170i | −0.0189500 | − | 0.00467076i | 0.229829 | − | 0.973231i | \(-0.426183\pi\) |
−0.248779 | + | 0.968560i | \(0.580029\pi\) | |||||||
\(674\) | −59.4625 | − | 31.2083i | −2.29041 | − | 1.20210i | ||||
\(675\) | −4.98786 | −0.191983 | ||||||||
\(676\) | −50.2930 | + | 51.0004i | −1.93435 | + | 1.96155i | ||||
\(677\) | −8.94006 | −0.343594 | −0.171797 | − | 0.985132i | \(-0.554957\pi\) | ||||
−0.171797 | + | 0.985132i | \(0.554957\pi\) | |||||||
\(678\) | 30.9834 | + | 16.2613i | 1.18991 | + | 0.624513i | ||||
\(679\) | −6.87340 | − | 1.69414i | −0.263777 | − | 0.0650152i | ||||
\(680\) | 1.31777 | + | 1.90911i | 0.0505340 | + | 0.0732112i | ||||
\(681\) | 1.14531 | + | 3.01994i | 0.0438884 | + | 0.115724i | ||||
\(682\) | −51.1320 | − | 45.2990i | −1.95794 | − | 1.73459i | ||||
\(683\) | −0.905937 | − | 7.46106i | −0.0346647 | − | 0.285490i | −0.999725 | − | 0.0234607i | \(-0.992532\pi\) |
0.965060 | − | 0.262029i | \(-0.0843915\pi\) | |||||||
\(684\) | 0.439283 | + | 3.61782i | 0.0167964 | + | 0.138331i | ||||
\(685\) | 0.576219 | + | 0.302423i | 0.0220162 | + | 0.0115550i | ||||
\(686\) | −5.88548 | + | 48.4713i | −0.224709 | + | 1.85064i | ||||
\(687\) | −8.47272 | + | 4.44683i | −0.323254 | + | 0.169657i | ||||
\(688\) | −47.9244 | − | 126.366i | −1.82710 | − | 4.81767i | ||||
\(689\) | 15.7938 | − | 24.6159i | 0.601694 | − | 0.937791i | ||||
\(690\) | 0.578840 | − | 1.52628i | 0.0220361 | − | 0.0581044i | ||||
\(691\) | −2.14981 | − | 17.7053i | −0.0817826 | − | 0.673540i | −0.974731 | − | 0.223381i | \(-0.928290\pi\) |
0.892949 | − | 0.450159i | \(-0.148633\pi\) | |||||||
\(692\) | −32.4296 | + | 85.5099i | −1.23279 | + | 3.25060i | ||||
\(693\) | 0.863466 | + | 7.11128i | 0.0328004 | + | 0.270135i | ||||
\(694\) | 3.70193 | + | 5.36317i | 0.140523 | + | 0.203583i | ||||
\(695\) | 2.01796 | 0.0765457 | ||||||||
\(696\) | −33.7216 | + | 48.8541i | −1.27821 | + | 1.85181i | ||||
\(697\) | −0.197552 | + | 1.62699i | −0.00748282 | + | 0.0616265i | ||||
\(698\) | −17.7360 | −0.671319 | ||||||||
\(699\) | 18.0186 | 0.681527 | ||||||||
\(700\) | 5.05839 | − | 41.6595i | 0.191189 | − | 1.57458i | ||||
\(701\) | 15.0041 | − | 13.2925i | 0.566698 | − | 0.502051i | −0.330424 | − | 0.943832i | \(-0.607192\pi\) |
0.897123 | + | 0.441782i | \(0.145653\pi\) | |||||||
\(702\) | −3.19046 | + | 9.35136i | −0.120416 | + | 0.352944i | ||||
\(703\) | −0.760871 | − | 0.674073i | −0.0286968 | − | 0.0254232i | ||||
\(704\) | 111.640 | − | 98.9048i | 4.20761 | − | 3.72762i | ||||
\(705\) | 1.00965 | + | 0.529907i | 0.0380257 | + | 0.0199574i | ||||
\(706\) | −24.9056 | + | 65.6705i | −0.937333 | + | 2.47154i | ||||
\(707\) | 15.6326 | + | 13.8492i | 0.587923 | + | 0.520854i | ||||
\(708\) | 0.260764 | − | 0.231017i | 0.00980010 | − | 0.00868213i | ||||
\(709\) | −5.82554 | + | 1.43587i | −0.218783 | + | 0.0539251i | −0.347183 | − | 0.937797i | \(-0.612862\pi\) |
0.128400 | + | 0.991722i | \(0.459016\pi\) | |||||||
\(710\) | 0.699654 | − | 1.84484i | 0.0262576 | − | 0.0692355i | ||||
\(711\) | 11.2371 | − | 5.89771i | 0.421426 | − | 0.221181i | ||||
\(712\) | −8.84382 | − | 72.8354i | −0.331436 | − | 2.72962i | ||||
\(713\) | −21.5034 | − | 19.0503i | −0.805308 | − | 0.713440i | ||||
\(714\) | −8.11114 | − | 4.25705i | −0.303552 | − | 0.159316i | ||||
\(715\) | 0.286832 | + | 1.84136i | 0.0107269 | + | 0.0688630i | ||||
\(716\) | 108.314 | − | 56.8478i | 4.04790 | − | 2.12450i | ||||
\(717\) | 11.6370 | + | 2.86826i | 0.434591 | + | 0.107117i | ||||
\(718\) | −5.75675 | + | 8.34009i | −0.214840 | + | 0.311249i | ||||
\(719\) | 37.1669 | − | 32.9270i | 1.38609 | − | 1.22797i | 0.442541 | − | 0.896749i | \(-0.354077\pi\) |
0.943553 | − | 0.331223i | \(-0.107461\pi\) | |||||||
\(720\) | 1.49633 | + | 0.785336i | 0.0557651 | + | 0.0292678i | ||||
\(721\) | −2.56617 | + | 21.1343i | −0.0955690 | + | 0.787082i | ||||
\(722\) | 45.0419 | + | 23.6398i | 1.67629 | + | 0.879783i | ||||
\(723\) | 12.2438 | − | 17.7382i | 0.455351 | − | 0.659689i | ||||
\(724\) | −44.0377 | + | 63.7996i | −1.63665 | + | 2.37109i | ||||
\(725\) | 29.8900 | − | 7.36722i | 1.11009 | − | 0.273612i | ||||
\(726\) | 29.2872 | − | 7.21866i | 1.08695 | − | 0.267910i | ||||
\(727\) | −1.33722 | + | 11.0130i | −0.0495947 | + | 0.408449i | 0.946677 | + | 0.322183i | \(0.104417\pi\) |
−0.996272 | + | 0.0862662i | \(0.972506\pi\) | |||||||
\(728\) | −47.6920 | − | 23.0157i | −1.76758 | − | 0.853018i | ||||
\(729\) | 0.120537 | + | 0.992709i | 0.00446432 | + | 0.0367670i | ||||
\(730\) | 0.212651 | + | 0.560716i | 0.00787058 | + | 0.0207530i | ||||
\(731\) | 14.4377 | + | 12.7907i | 0.533997 | + | 0.473080i | ||||
\(732\) | −65.4462 | + | 16.1310i | −2.41896 | + | 0.596220i | ||||
\(733\) | −45.2288 | − | 11.1479i | −1.67056 | − | 0.411757i | −0.713273 | − | 0.700886i | \(-0.752788\pi\) |
−0.957290 | + | 0.289130i | \(0.906634\pi\) | |||||||
\(734\) | 10.2619 | + | 14.8669i | 0.378774 | + | 0.548749i | ||||
\(735\) | 0.182384 | + | 0.480908i | 0.00672734 | + | 0.0177385i | ||||
\(736\) | 92.2494 | − | 81.7258i | 3.40036 | − | 3.01245i | ||||
\(737\) | −3.83983 | + | 31.6239i | −0.141442 | + | 1.16488i | ||||
\(738\) | 0.727551 | + | 1.91839i | 0.0267815 | + | 0.0706171i | ||||
\(739\) | −2.56229 | + | 6.75620i | −0.0942553 | + | 0.248531i | −0.973850 | − | 0.227194i | \(-0.927045\pi\) |
0.879594 | + | 0.475725i | \(0.157814\pi\) | |||||||
\(740\) | −0.905818 | + | 0.223264i | −0.0332985 | + | 0.00820735i | ||||
\(741\) | −1.42012 | − | 1.91594i | −0.0521692 | − | 0.0703839i | ||||
\(742\) | 32.9580 | + | 8.12341i | 1.20993 | + | 0.298220i | ||||
\(743\) | −23.6585 | + | 34.2752i | −0.867945 | + | 1.25743i | 0.0970803 | + | 0.995277i | \(0.469050\pi\) |
−0.965025 | + | 0.262158i | \(0.915566\pi\) | |||||||
\(744\) | 38.2551 | − | 33.8911i | 1.40250 | − | 1.24251i | ||||
\(745\) | 2.00591 | + | 0.494412i | 0.0734908 | + | 0.0181138i | ||||
\(746\) | 10.8607 | 0.397639 | ||||||||
\(747\) | 8.54375 | + | 2.10584i | 0.312599 | + | 0.0770488i | ||||
\(748\) | −20.0639 | + | 52.9042i | −0.733610 | + | 1.93437i | ||||
\(749\) | 10.7142 | − | 5.62325i | 0.391489 | − | 0.205469i | ||||
\(750\) | −1.06936 | − | 2.81966i | −0.0390474 | − | 0.102960i | ||||
\(751\) | 0.370955 | − | 0.194692i | 0.0135363 | − | 0.00710442i | −0.457941 | − | 0.888982i | \(-0.651413\pi\) |
0.471478 | + | 0.881878i | \(0.343721\pi\) | |||||||
\(752\) | 90.1736 | + | 130.639i | 3.28829 | + | 4.76392i | ||||
\(753\) | −3.67907 | − | 5.33005i | −0.134073 | − | 0.194238i | ||||
\(754\) | 5.30673 | − | 60.7508i | 0.193260 | − | 2.21242i | ||||
\(755\) | 1.17851 | − | 1.70736i | 0.0428903 | − | 0.0621374i | ||||
\(756\) | −8.41353 | −0.305997 | ||||||||
\(757\) | 16.5447 | + | 23.9691i | 0.601328 | + | 0.871173i | 0.998924 | − | 0.0463873i | \(-0.0147708\pi\) |
−0.397596 | + | 0.917561i | \(0.630155\pi\) | |||||||
\(758\) | 39.3193 | + | 34.8339i | 1.42814 | + | 1.26522i | ||||
\(759\) | 24.6254 | − | 6.06961i | 0.893844 | − | 0.220313i | ||||
\(760\) | −0.620644 | + | 0.325739i | −0.0225131 | + | 0.0118158i | ||||
\(761\) | −22.1152 | + | 11.6070i | −0.801676 | + | 0.420752i | −0.815216 | − | 0.579156i | \(-0.803382\pi\) |
0.0135406 | + | 0.999908i | \(0.495690\pi\) | |||||||
\(762\) | 23.8924 | − | 5.88896i | 0.865532 | − | 0.213334i | ||||
\(763\) | −23.5942 | − | 20.9026i | −0.854167 | − | 0.756726i | ||||
\(764\) | 6.13216 | + | 8.88396i | 0.221854 | + | 0.321411i | ||||
\(765\) | −0.241184 | −0.00872004 | ||||||||
\(766\) | −43.0316 | + | 62.3420i | −1.55479 | + | 2.25251i | ||||
\(767\) | −0.0736132 | + | 0.215763i | −0.00265802 | + | 0.00779076i | ||||
\(768\) | 28.5378 | + | 41.3441i | 1.02977 | + | 1.49188i | ||||
\(769\) | 2.22566 | + | 3.22443i | 0.0802594 | + | 0.116276i | 0.861057 | − | 0.508508i | \(-0.169803\pi\) |
−0.780798 | + | 0.624783i | \(0.785187\pi\) | |||||||
\(770\) | −1.91513 | + | 1.00514i | −0.0690166 | + | 0.0362227i | ||||
\(771\) | 5.99050 | + | 15.7957i | 0.215743 | + | 0.568867i | ||||
\(772\) | −51.9308 | + | 27.2554i | −1.86903 | + | 0.980943i | ||||
\(773\) | 1.25330 | − | 3.30469i | 0.0450782 | − | 0.118861i | −0.910586 | − | 0.413319i | \(-0.864370\pi\) |
0.955665 | + | 0.294457i | \(0.0951388\pi\) | |||||||
\(774\) | 23.4449 | + | 5.77866i | 0.842711 | + | 0.207710i | ||||
\(775\) | −26.5042 | −0.952058 | ||||||||
\(776\) | −43.2931 | − | 10.6708i | −1.55413 | − | 0.383059i | ||||
\(777\) | 1.75657 | − | 1.55618i | 0.0630165 | − | 0.0558278i | ||||
\(778\) | 22.7523 | − | 32.9624i | 0.815710 | − | 1.18176i | ||||
\(779\) | −0.480829 | − | 0.118514i | −0.0172275 | − | 0.00424619i | ||||
\(780\) | −2.18751 | + | 0.0737457i | −0.0783256 | + | 0.00264052i | ||||
\(781\) | 29.7651 | − | 7.33644i | 1.06508 | − | 0.262519i | ||||
\(782\) | −11.5007 | + | 30.3248i | −0.411263 | + | 1.08441i | ||||
\(783\) | −2.18858 | − | 5.77082i | −0.0782135 | − | 0.206232i | ||||
\(784\) | −8.63055 | + | 71.0790i | −0.308234 | + | 2.53853i | ||||
\(785\) | −1.42280 | + | 1.26049i | −0.0507818 | + | 0.0449887i | ||||
\(786\) | −3.49930 | − | 9.22689i | −0.124816 | − | 0.329112i | ||||
\(787\) | −8.28640 | − | 12.0049i | −0.295378 | − | 0.427929i | 0.646994 | − | 0.762495i | \(-0.276026\pi\) |
−0.942372 | + | 0.334566i | \(0.891410\pi\) | |||||||
\(788\) | 75.1892 | + | 18.5325i | 2.67850 | + | 0.660192i | ||||
\(789\) | 4.39085 | − | 1.08225i | 0.156318 | − | 0.0385290i | ||||
\(790\) | 2.86809 | + | 2.54090i | 0.102042 | + | 0.0904013i | ||||
\(791\) | −6.91414 | − | 18.2311i | −0.245839 | − | 0.648223i | ||||
\(792\) | 5.43866 | + | 44.7914i | 0.193254 | + | 1.59159i | ||||
\(793\) | 32.0120 | − | 30.3456i | 1.13678 | − | 1.07761i | ||||
\(794\) | 9.95529 | − | 81.9892i | 0.353300 | − | 2.90969i | ||||
\(795\) | 0.867750 | − | 0.213881i | 0.0307759 | − | 0.00758559i | ||||
\(796\) | 80.9370 | − | 19.9492i | 2.86874 | − | 0.707080i | ||||
\(797\) | 11.1437 | − | 16.1444i | 0.394730 | − | 0.571865i | −0.574351 | − | 0.818609i | \(-0.694745\pi\) |
0.969081 | + | 0.246744i | \(0.0793607\pi\) | |||||||
\(798\) | 1.57234 | − | 2.27793i | 0.0556604 | − | 0.0806380i | ||||
\(799\) | −20.0602 | − | 10.5284i | −0.709681 | − | 0.372469i | ||||
\(800\) | 13.7054 | − | 112.874i | 0.484558 | − | 3.99069i | ||||
\(801\) | 6.75454 | + | 3.54506i | 0.238660 | + | 0.125258i | ||||
\(802\) | −19.2801 | + | 17.0807i | −0.680804 | + | 0.603140i | ||||
\(803\) | −5.29294 | + | 7.66815i | −0.186784 | + | 0.270603i | ||||
\(804\) | −36.3277 | − | 8.95398i | −1.28118 | − | 0.315783i | ||||
\(805\) | −0.805402 | + | 0.422708i | −0.0283867 | + | 0.0148985i | ||||
\(806\) | −16.9533 | + | 49.6907i | −0.597153 | + | 1.75028i | ||||
\(807\) | −24.0878 | − | 12.6423i | −0.847932 | − | 0.445029i | ||||
\(808\) | 98.4638 | + | 87.2313i | 3.46395 | + | 3.06879i | ||||
\(809\) | −1.40101 | − | 11.5383i | −0.0492568 | − | 0.405667i | −0.996395 | − | 0.0848395i | \(-0.972962\pi\) |
0.947138 | − | 0.320827i | \(-0.103961\pi\) | |||||||
\(810\) | −0.267345 | + | 0.140314i | −0.00939356 | + | 0.00493012i | ||||
\(811\) | −5.29283 | + | 13.9560i | −0.185856 | + | 0.490063i | −0.995267 | − | 0.0971805i | \(-0.969018\pi\) |
0.809410 | + | 0.587243i | \(0.199787\pi\) | |||||||
\(812\) | 50.4185 | − | 12.4270i | 1.76934 | − | 0.436103i | ||||
\(813\) | 15.3014 | − | 13.5559i | 0.536644 | − | 0.475425i | ||||
\(814\) | −14.7882 | − | 13.1012i | −0.518325 | − | 0.459196i | ||||
\(815\) | 0.220973 | − | 0.582657i | 0.00774034 | − | 0.0204096i | ||||
\(816\) | −29.7298 | − | 15.6034i | −1.04075 | − | 0.546229i | ||||
\(817\) | −4.36247 | + | 3.86481i | −0.152623 | + | 0.135213i | ||||
\(818\) | −26.6461 | − | 23.6064i | −0.931659 | − | 0.825378i | ||||
\(819\) | 4.78612 | − | 2.72145i | 0.167241 | − | 0.0950953i | ||||
\(820\) | −0.340196 | + | 0.301387i | −0.0118802 | + | 0.0105249i | ||||
\(821\) | −1.28066 | + | 10.5472i | −0.0446953 | + | 0.368099i | 0.953151 | + | 0.302496i | \(0.0978200\pi\) |
−0.997846 | + | 0.0656025i | \(0.979103\pi\) | |||||||
\(822\) | −16.1861 | −0.564554 | ||||||||
\(823\) | −22.7370 | −0.792561 | −0.396281 | − | 0.918129i | \(-0.629699\pi\) | ||||
−0.396281 | + | 0.918129i | \(0.629699\pi\) | |||||||
\(824\) | −16.1634 | + | 133.117i | −0.563077 | + | 4.63736i | ||||
\(825\) | 13.2921 | − | 19.2569i | 0.462771 | − | 0.670440i | ||||
\(826\) | −0.264590 | −0.00920628 | ||||||||
\(827\) | 19.1264 | + | 27.7094i | 0.665091 | + | 0.963551i | 0.999775 | + | 0.0212202i | \(0.00675511\pi\) |
−0.334684 | + | 0.942330i | \(0.608630\pi\) | |||||||
\(828\) | 3.59055 | + | 29.5708i | 0.124780 | + | 1.02766i | ||||
\(829\) | 18.8477 | − | 49.6972i | 0.654607 | − | 1.72606i | −0.0324723 | − | 0.999473i | \(-0.510338\pi\) |
0.687079 | − | 0.726583i | \(-0.258893\pi\) | |||||||
\(830\) | 0.320243 | + | 2.63744i | 0.0111158 | + | 0.0915469i | ||||
\(831\) | −2.28934 | + | 6.03649i | −0.0794162 | + | 0.209403i | ||||
\(832\) | −103.241 | − | 49.8229i | −3.57923 | − | 1.72730i | ||||
\(833\) | −3.62369 | − | 9.55489i | −0.125554 | − | 0.331057i | ||||
\(834\) | −44.4428 | + | 23.3254i | −1.53893 | + | 0.807691i | ||||
\(835\) | 0.247178 | − | 2.03569i | 0.00855395 | − | 0.0704481i | ||||
\(836\) | −15.1382 | − | 7.94512i | −0.523564 | − | 0.274788i | ||||
\(837\) | 0.640500 | + | 5.27499i | 0.0221389 | + | 0.182330i | ||||
\(838\) | −7.83740 | − | 64.5468i | −0.270738 | − | 2.22973i | ||||
\(839\) | 21.1517 | + | 18.7388i | 0.730238 | + | 0.646934i | 0.943998 | − | 0.329952i | \(-0.107033\pi\) |
−0.213760 | + | 0.976886i | \(0.568571\pi\) | |||||||
\(840\) | −0.573818 | − | 1.51303i | −0.0197986 | − | 0.0522046i | ||||
\(841\) | 5.16496 | + | 7.48273i | 0.178102 | + | 0.258025i | ||||
\(842\) | −55.1082 | − | 13.5829i | −1.89915 | − | 0.468099i | ||||
\(843\) | −5.33653 | − | 2.80083i | −0.183800 | − | 0.0964656i | ||||
\(844\) | −89.9806 | −3.09726 | ||||||||
\(845\) | 1.22054 | − | 0.749528i | 0.0419877 | − | 0.0257845i | ||||
\(846\) | −28.3613 | −0.975081 | ||||||||
\(847\) | −14.8828 | − | 7.81109i | −0.511378 | − | 0.268392i | ||||
\(848\) | 120.801 | + | 29.7748i | 4.14833 | + | 1.02247i | ||||
\(849\) | 3.82877 | + | 5.54693i | 0.131403 | + | 0.190370i | ||||
\(850\) | 10.6103 | + | 27.9771i | 0.363931 | + | 0.959608i | ||||
\(851\) | −6.21911 | − | 5.50965i | −0.213188 | − | 0.188868i | ||||
\(852\) | 4.33996 | + | 35.7428i | 0.148685 | + | 1.22453i | ||||
\(853\) | 5.11122 | + | 42.0947i | 0.175005 | + | 1.44129i | 0.770246 | + | 0.637747i | \(0.220133\pi\) |
−0.595241 | + | 0.803547i | \(0.702944\pi\) | |||||||
\(854\) | 45.3297 | + | 23.7909i | 1.55115 | + | 0.814107i | ||||
\(855\) | 0.00878422 | − | 0.0723445i | 0.000300414 | − | 0.00247413i | ||||
\(856\) | 67.4849 | − | 35.4188i | 2.30659 | − | 1.21059i | ||||
\(857\) | 0.342130 | + | 0.902123i | 0.0116869 | + | 0.0308159i | 0.940733 | − | 0.339149i | \(-0.110139\pi\) |
−0.929046 | + | 0.369965i | \(0.879370\pi\) | |||||||
\(858\) | −27.6011 | − | 37.2379i | −0.942287 | − | 1.27128i | ||||
\(859\) | 1.11238 | − | 2.93311i | 0.0379540 | − | 0.100077i | −0.914699 | − | 0.404135i | \(-0.867573\pi\) |
0.952653 | + | 0.304058i | \(0.0983418\pi\) | |||||||
\(860\) | 0.644744 | + | 5.30995i | 0.0219856 | + | 0.181068i | ||||
\(861\) | 0.405411 | − | 1.06898i | 0.0138164 | − | 0.0364308i | ||||
\(862\) | −1.99392 | − | 16.4214i | −0.0679131 | − | 0.559315i | ||||
\(863\) | 27.9300 | + | 40.4636i | 0.950747 | + | 1.37740i | 0.925927 | + | 0.377704i | \(0.123286\pi\) |
0.0248210 | + | 0.999692i | \(0.492098\pi\) | |||||||
\(864\) | −22.7959 | −0.775533 | ||||||||
\(865\) | 1.03885 | − | 1.50504i | 0.0353221 | − | 0.0511729i | ||||
\(866\) | 0.905974 | − | 7.46137i | 0.0307862 | − | 0.253548i | ||||
\(867\) | −12.2080 | −0.414607 | ||||||||
\(868\) | −44.7073 | −1.51746 | ||||||||
\(869\) | −7.17611 | + | 59.1006i | −0.243433 | + | 2.00485i | ||||
\(870\) | 1.39483 | − | 1.23571i | 0.0472892 | − | 0.0418946i | ||||
\(871\) | 23.5617 | − | 6.65706i | 0.798357 | − | 0.225566i | ||||
\(872\) | −148.611 | − | 131.658i | −5.03261 | − | 4.45851i | ||||
\(873\) | 3.47002 | − | 3.07417i | 0.117442 | − | 0.104045i | ||||
\(874\) | −8.67721 | − | 4.55415i | −0.293511 | − | 0.154046i | ||||
\(875\) | −0.595874 | + | 1.57119i | −0.0201442 | + | 0.0531160i | ||||
\(876\) | −8.19123 | − | 7.25680i | −0.276756 | − | 0.245185i | ||||
\(877\) | −28.3877 | + | 25.1493i | −0.958586 | + | 0.849233i | −0.988638 | − | 0.150316i | \(-0.951971\pi\) |
0.0300525 | + | 0.999548i | \(0.490433\pi\) | |||||||
\(878\) | 26.3986 | − | 6.50668i | 0.890911 | − | 0.219590i | ||||
\(879\) | −4.65914 | + | 12.2851i | −0.157149 | + | 0.414368i | ||||
\(880\) | −7.01956 | + | 3.68415i | −0.236629 | + | 0.124193i | ||||
\(881\) | 1.50553 | + | 12.3992i | 0.0507227 | + | 0.417739i | 0.995848 | + | 0.0910310i | \(0.0290162\pi\) |
−0.945125 | + | 0.326708i | \(0.894061\pi\) | |||||||
\(882\) | −9.57550 | − | 8.48315i | −0.322424 | − | 0.285643i | ||||
\(883\) | 40.6208 | + | 21.3195i | 1.36700 | + | 0.717457i | 0.978934 | − | 0.204175i | \(-0.0654511\pi\) |
0.388065 | + | 0.921632i | \(0.373143\pi\) | |||||||
\(884\) | 43.4625 | − | 1.46521i | 1.46180 | − | 0.0492805i | ||||
\(885\) | −0.00616844 | + | 0.00323745i | −0.000207350 | + | 0.000108826i | ||||
\(886\) | 80.3789 | + | 19.8116i | 2.70038 | + | 0.665584i | ||||
\(887\) | −15.3283 | + | 22.2069i | −0.514675 | + | 0.745635i | −0.991033 | − | 0.133616i | \(-0.957341\pi\) |
0.476359 | + | 0.879251i | \(0.341956\pi\) | |||||||
\(888\) | 11.0640 | − | 9.80184i | 0.371283 | − | 0.328928i | ||||
\(889\) | −12.1413 | − | 6.37226i | −0.407207 | − | 0.213719i | ||||
\(890\) | −0.277622 | + | 2.28642i | −0.00930591 | + | 0.0766411i | ||||
\(891\) | −4.15382 | − | 2.18010i | −0.139158 | − | 0.0730359i | ||||
\(892\) | 51.4727 | − | 74.5711i | 1.72343 | − | 2.49683i | ||||
\(893\) | 3.88868 | − | 5.63372i | 0.130130 | − | 0.188525i | ||||
\(894\) | −49.8921 | + | 12.2973i | −1.66864 | + | 0.411283i | ||||
\(895\) | −2.37504 | + | 0.585396i | −0.0793890 | + | 0.0195676i | ||||
\(896\) | 7.64515 | − | 62.9635i | 0.255407 | − | 2.10346i | ||||
\(897\) | −11.6076 | − | 15.6603i | −0.387565 | − | 0.522881i | ||||
\(898\) | −5.39093 | − | 44.3983i | −0.179898 | − | 1.48159i | ||||
\(899\) | −11.6295 | − | 30.6646i | −0.387867 | − | 1.02272i | ||||
\(900\) | 20.5705 | + | 18.2239i | 0.685685 | + | 0.607464i | ||||
\(901\) | −17.2409 | + | 4.24949i | −0.574377 | + | 0.141571i | ||||
\(902\) | −9.34530 | − | 2.30341i | −0.311164 | − | 0.0766952i | ||||
\(903\) | −7.64338 | − | 11.0733i | −0.254356 | − | 0.368498i | ||||
\(904\) | −43.5497 | − | 114.831i | −1.44844 | − | 3.81923i | ||||
\(905\) | 1.16034 | − | 1.02797i | 0.0385709 | − | 0.0341708i | ||||
\(906\) | −6.21978 | + | 51.2245i | −0.206638 | + | 1.70182i | ||||
\(907\) | 18.6439 | + | 49.1600i | 0.619062 | + | 1.63233i | 0.765742 | + | 0.643148i | \(0.222372\pi\) |
−0.146680 | + | 0.989184i | \(0.546859\pi\) | |||||||
\(908\) | 6.31040 | − | 16.6392i | 0.209418 | − | 0.552190i | ||||
\(909\) | −13.2795 | + | 3.27309i | −0.440452 | + | 0.108562i | ||||
\(910\) | 1.28072 | + | 1.05979i | 0.0424555 | + | 0.0351318i | ||||
\(911\) | −52.5059 | − | 12.9415i | −1.73960 | − | 0.428773i | −0.763449 | − | 0.645868i | \(-0.776495\pi\) |
−0.976150 | + | 0.217096i | \(0.930342\pi\) | |||||||
\(912\) | 5.76313 | − | 8.34933i | 0.190836 | − | 0.276474i | ||||
\(913\) | −30.8983 | + | 27.3735i | −1.02258 | + | 0.905930i | ||||
\(914\) | 73.9415 | + | 18.2249i | 2.44577 | + | 0.602828i | ||||
\(915\) | 1.34788 | 0.0445594 | ||||||||
\(916\) | 51.1897 | + | 12.6171i | 1.69135 | + | 0.416881i | ||||
\(917\) | −1.94990 | + | 5.14147i | −0.0643914 | + | 0.169786i | ||||
\(918\) | 5.31174 | − | 2.78782i | 0.175314 | − | 0.0920117i | ||||
\(919\) | 10.8632 | + | 28.6439i | 0.358344 | + | 0.944874i | 0.986054 | + | 0.166427i | \(0.0532231\pi\) |
−0.627710 | + | 0.778447i | \(0.716008\pi\) | |||||||
\(920\) | −5.07294 | + | 2.66248i | −0.167250 | + | 0.0877795i | ||||
\(921\) | 11.0540 | + | 16.0144i | 0.364240 | + | 0.527693i | ||||
\(922\) | −26.4801 | − | 38.3631i | −0.872077 | − | 1.26342i | ||||
\(923\) | −14.0303 | − | 18.9288i | −0.461811 | − | 0.623051i | ||||
\(924\) | 22.4211 | − | 32.4826i | 0.737601 | − | 1.06860i | ||||
\(925\) | −7.66542 | −0.252038 | ||||||||
\(926\) | −59.6917 | − | 86.4784i | −1.96159 | − | 2.84186i | ||||
\(927\) | −10.4356 | − | 9.24516i | −0.342751 | − | 0.303651i | ||||
\(928\) | 136.605 | − | 33.6702i | 4.48430 | − | 1.10528i | ||||
\(929\) | −18.9466 | + | 9.94396i | −0.621619 | + | 0.326251i | −0.745962 | − | 0.665988i | \(-0.768010\pi\) |
0.124343 | + | 0.992239i | \(0.460318\pi\) | |||||||
\(930\) | −1.42060 | + | 0.745590i | −0.0465834 | + | 0.0244489i | ||||
\(931\) | 2.99802 | − | 0.738946i | 0.0982562 | − | 0.0242180i | ||||
\(932\) | −74.3110 | − | 65.8338i | −2.43414 | − | 2.15646i | ||||
\(933\) | −2.78403 | − | 4.03336i | −0.0911450 | − | 0.132046i | ||||
\(934\) | −27.4153 | −0.897055 | ||||||||
\(935\) | 0.642729 | − | 0.931154i | 0.0210195 | − | 0.0304520i | ||||
\(936\) | 30.1461 | − | 17.1415i | 0.985355 | − | 0.560286i | ||||
\(937\) | −12.6991 | − | 18.3978i | −0.414861 | − | 0.601030i | 0.558724 | − | 0.829353i | \(-0.311291\pi\) |
−0.973585 | + | 0.228324i | \(0.926676\pi\) | |||||||
\(938\) | 16.1424 | + | 23.3863i | 0.527068 | + | 0.763589i | ||||
\(939\) | 18.7904 | − | 9.86197i | 0.613202 | − | 0.321833i | ||||
\(940\) | −2.22784 | − | 5.87432i | −0.0726640 | − | 0.191599i | ||||
\(941\) | 4.71102 | − | 2.47253i | 0.153575 | − | 0.0806022i | −0.386185 | − | 0.922421i | \(-0.626207\pi\) |
0.539760 | + | 0.841819i | \(0.318515\pi\) | |||||||
\(942\) | 16.7653 | − | 44.2064i | 0.546242 | − | 1.44032i | ||||
\(943\) | −3.93013 | − | 0.968691i | −0.127983 | − | 0.0315449i | ||||
\(944\) | −0.969806 | −0.0315645 | ||||||||
\(945\) | 0.163354 | + | 0.0402632i | 0.00531392 | + | 0.00130976i | ||||
\(946\) | −84.7882 | + | 75.1157i | −2.75670 | + | 2.44222i | ||||
\(947\) | −8.23549 | + | 11.9312i | −0.267617 | + | 0.387711i | −0.933635 | − | 0.358225i | \(-0.883382\pi\) |
0.666018 | + | 0.745936i | \(0.267997\pi\) | |||||||
\(948\) | −67.8915 | − | 16.7338i | −2.20501 | − | 0.543487i | ||||
\(949\) | 7.00696 | + | 1.47856i | 0.227456 | + | 0.0479960i | ||||
\(950\) | −8.77834 | + | 2.16367i | −0.284807 | + | 0.0701986i | ||||
\(951\) | 4.07995 | − | 10.7579i | 0.132301 | − | 0.348850i | ||||
\(952\) | 11.4009 | + | 30.0616i | 0.369504 | + | 0.974303i | ||||
\(953\) | 0.896673 | − | 7.38477i | 0.0290461 | − | 0.239216i | −0.970954 | − | 0.239267i | \(-0.923093\pi\) |
1.00000 | 5.05180e-5i | \(1.60804e-5\pi\) | ||||||||
\(954\) | −16.6387 | + | 14.7406i | −0.538699 | + | 0.477246i | ||||
\(955\) | −0.0765454 | − | 0.201834i | −0.00247695 | − | 0.00653118i | ||||
\(956\) | −37.5127 | − | 54.3465i | −1.21325 | − | 1.75769i | ||||
\(957\) | 28.1120 | + | 6.92900i | 0.908733 | + | 0.223983i | ||||
\(958\) | 63.9542 | − | 15.7633i | 2.06627 | − | 0.509289i | ||||
\(959\) | 6.75105 | + | 5.98091i | 0.218003 | + | 0.193134i | ||||
\(960\) | −1.24217 | − | 3.27532i | −0.0400907 | − | 0.105711i | ||||
\(961\) | −0.333188 | − | 2.74405i | −0.0107480 | − | 0.0885177i | ||||
\(962\) | −4.90315 | + | 14.3713i | −0.158084 | + | 0.463350i | ||||
\(963\) | −0.955140 | + | 7.86629i | −0.0307790 | + | 0.253488i | ||||
\(964\) | −115.304 | + | 28.4198i | −3.71369 | + | 0.915342i | ||||
\(965\) | 1.13870 | − | 0.280665i | 0.0366561 | − | 0.00903493i | ||||
\(966\) | 12.8518 | − | 18.6191i | 0.413500 | − | 0.599059i | ||||
\(967\) | 2.79699 | − | 4.05214i | 0.0899451 | − | 0.130308i | −0.775428 | − | 0.631436i | \(-0.782466\pi\) |
0.865373 | + | 0.501128i | \(0.167081\pi\) | |||||||
\(968\) | −93.7413 | − | 49.1992i | −3.01296 | − | 1.58132i | ||||
\(969\) | −0.174529 | + | 1.43737i | −0.00560667 | + | 0.0461751i | ||||
\(970\) | 1.23938 | + | 0.650479i | 0.0397942 | + | 0.0208856i | ||||
\(971\) | 13.6285 | − | 12.0738i | 0.437360 | − | 0.387467i | −0.415511 | − | 0.909588i | \(-0.636397\pi\) |
0.852872 | + | 0.522121i | \(0.174859\pi\) | |||||||
\(972\) | 3.12991 | − | 4.53445i | 0.100392 | − | 0.145443i | ||||
\(973\) | 27.1556 | + | 6.69325i | 0.870568 | + | 0.214576i | ||||
\(974\) | 76.3999 | − | 40.0977i | 2.44801 | − | 1.28481i | ||||
\(975\) | −17.5965 | − | 3.71308i | −0.563539 | − | 0.118914i | ||||
\(976\) | 166.148 | + | 87.2010i | 5.31825 | + | 2.79124i | ||||
\(977\) | 34.7607 | + | 30.7953i | 1.11209 | + | 0.985229i | 0.999964 | − | 0.00846449i | \(-0.00269436\pi\) |
0.112130 | + | 0.993694i | \(0.464233\pi\) | |||||||
\(978\) | 1.86825 | + | 15.3864i | 0.0597399 | + | 0.492003i | ||||
\(979\) | −31.6867 | + | 16.6305i | −1.01271 | + | 0.531512i | ||||
\(980\) | 1.00489 | − | 2.64969i | 0.0321002 | − | 0.0846412i | ||||
\(981\) | 20.0427 | − | 4.94007i | 0.639913 | − | 0.157724i | ||||
\(982\) | −61.2357 | + | 54.2501i | −1.95411 | + | 1.73119i | ||||
\(983\) | −16.8381 | − | 14.9172i | −0.537051 | − | 0.475786i | 0.350456 | − | 0.936579i | \(-0.386027\pi\) |
−0.887508 | + | 0.460793i | \(0.847565\pi\) | |||||||
\(984\) | 2.55354 | − | 6.73312i | 0.0814038 | − | 0.214644i | ||||
\(985\) | −1.37116 | − | 0.719640i | −0.0436888 | − | 0.0229296i | ||||
\(986\) | −27.7132 | + | 24.5517i | −0.882567 | + | 0.781886i | ||||
\(987\) | 11.8292 | + | 10.4798i | 0.376528 | + | 0.333575i | ||||
\(988\) | −1.14346 | + | 13.0902i | −0.0363782 | + | 0.416454i | ||||
\(989\) | −35.6574 | + | 31.5897i | −1.13384 | + | 1.00449i | ||||
\(990\) | 0.170729 | − | 1.40608i | 0.00542611 | − | 0.0446880i | ||||
\(991\) | 3.49232 | 0.110937 | 0.0554686 | − | 0.998460i | \(-0.482335\pi\) | ||||
0.0554686 | + | 0.998460i | \(0.482335\pi\) | |||||||
\(992\) | −121.131 | −3.84593 | ||||||||
\(993\) | 0.463772 | − | 3.81951i | 0.0147174 | − | 0.121208i | ||||
\(994\) | 15.5342 | − | 22.5052i | 0.492715 | − | 0.713821i | ||||
\(995\) | −1.66691 | −0.0528447 | ||||||||
\(996\) | −27.5414 | − | 39.9006i | −0.872683 | − | 1.26430i | ||||
\(997\) | −2.85489 | − | 23.5121i | −0.0904152 | − | 0.744636i | −0.965452 | − | 0.260580i | \(-0.916086\pi\) |
0.875037 | − | 0.484056i | \(-0.160837\pi\) | |||||||
\(998\) | −5.11194 | + | 13.4791i | −0.161816 | + | 0.426673i | ||||
\(999\) | 0.185243 | + | 1.52561i | 0.00586082 | + | 0.0482682i |
(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 | 507.2.m.b.79.1 | ✓ | 204 | |
169.92 | even | 13 | inner | 507.2.m.b.430.1 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.m.b.79.1 | ✓ | 204 | 1.1 | even | 1 | trivial | |
507.2.m.b.430.1 | yes | 204 | 169.92 | even | 13 | inner |