Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), 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: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 43.1 | ||
Character | \(\chi\) | \(=\) | 81.43 |
Dual form | 81.2.g.a.49.1 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.728625 | − | 2.43378i | −0.515216 | − | 1.72094i | −0.678720 | − | 0.734397i | \(-0.737465\pi\) |
0.163504 | − | 0.986543i | \(-0.447720\pi\) | |||||||
\(3\) | 1.57149 | + | 0.728294i | 0.907302 | + | 0.420481i | ||||
\(4\) | −3.72140 | + | 2.44760i | −1.86070 | + | 1.22380i | ||||
\(5\) | −1.26224 | − | 2.92620i | −0.564491 | − | 1.30864i | −0.926441 | − | 0.376439i | \(-0.877148\pi\) |
0.361950 | − | 0.932197i | \(-0.382111\pi\) | |||||||
\(6\) | 0.627476 | − | 4.35531i | 0.256166 | − | 1.77805i | ||||
\(7\) | 0.0965586 | − | 1.65785i | 0.0364957 | − | 0.626607i | −0.929623 | − | 0.368511i | \(-0.879868\pi\) |
0.966119 | − | 0.258096i | \(-0.0830952\pi\) | |||||||
\(8\) | 4.77615 | + | 4.00766i | 1.68862 | + | 1.41692i | ||||
\(9\) | 1.93918 | + | 2.28902i | 0.646392 | + | 0.763005i | ||||
\(10\) | −6.20202 | + | 5.20411i | −1.96125 | + | 1.64568i | ||||
\(11\) | 1.17151 | + | 1.57361i | 0.353222 | + | 0.474460i | 0.942851 | − | 0.333214i | \(-0.108133\pi\) |
−0.589629 | + | 0.807675i | \(0.700726\pi\) | |||||||
\(12\) | −7.63073 | + | 1.13612i | −2.20280 | + | 0.327969i | ||||
\(13\) | 2.66292 | + | 2.82253i | 0.738562 | + | 0.782830i | 0.982361 | − | 0.186996i | \(-0.0598752\pi\) |
−0.243799 | + | 0.969826i | \(0.578394\pi\) | |||||||
\(14\) | −4.10518 | + | 0.972946i | −1.09716 | + | 0.260031i | ||||
\(15\) | 0.147533 | − | 5.51778i | 0.0380929 | − | 1.42469i | ||||
\(16\) | 2.74533 | − | 6.36438i | 0.686332 | − | 1.59110i | ||||
\(17\) | 0.757018 | + | 4.29326i | 0.183604 | + | 1.04127i | 0.927736 | + | 0.373237i | \(0.121752\pi\) |
−0.744132 | + | 0.668032i | \(0.767137\pi\) | |||||||
\(18\) | 4.15802 | − | 6.38736i | 0.980055 | − | 1.50551i | ||||
\(19\) | 0.245992 | − | 1.39509i | 0.0564343 | − | 0.320055i | −0.943502 | − | 0.331368i | \(-0.892490\pi\) |
0.999936 | + | 0.0113127i | \(0.00360103\pi\) | |||||||
\(20\) | 11.8595 | + | 7.80010i | 2.65186 | + | 1.74416i | ||||
\(21\) | 1.35914 | − | 2.53497i | 0.296589 | − | 0.553176i | ||||
\(22\) | 2.97622 | − | 3.99775i | 0.634532 | − | 0.852324i | ||||
\(23\) | −0.131890 | − | 2.26446i | −0.0275010 | − | 0.472173i | −0.983741 | − | 0.179591i | \(-0.942523\pi\) |
0.956240 | − | 0.292582i | \(-0.0945145\pi\) | |||||||
\(24\) | 4.58692 | + | 9.77645i | 0.936301 | + | 1.99561i | ||||
\(25\) | −3.53819 | + | 3.75026i | −0.707638 | + | 0.750053i | ||||
\(26\) | 4.92914 | − | 8.53753i | 0.966684 | − | 1.67435i | ||||
\(27\) | 1.38033 | + | 5.00946i | 0.265644 | + | 0.964071i | ||||
\(28\) | 3.69842 | + | 6.40585i | 0.698935 | + | 1.21059i | ||||
\(29\) | −9.18707 | − | 2.17738i | −1.70600 | − | 0.404329i | −0.742033 | − | 0.670363i | \(-0.766138\pi\) |
−0.963964 | + | 0.266034i | \(0.914287\pi\) | |||||||
\(30\) | −13.5365 | + | 3.66133i | −2.47142 | + | 0.668465i | ||||
\(31\) | −3.73408 | − | 1.87532i | −0.670660 | − | 0.336818i | 0.0806739 | − | 0.996741i | \(-0.474293\pi\) |
−0.751334 | + | 0.659923i | \(0.770589\pi\) | |||||||
\(32\) | −5.10449 | − | 0.596629i | −0.902355 | − | 0.105470i | ||||
\(33\) | 0.694966 | + | 3.32611i | 0.120978 | + | 0.579002i | ||||
\(34\) | 9.89726 | − | 4.97059i | 1.69737 | − | 0.852449i | ||||
\(35\) | −4.97307 | + | 1.81005i | −0.840603 | + | 0.305954i | ||||
\(36\) | −12.8191 | − | 3.77201i | −2.13651 | − | 0.628668i | ||||
\(37\) | 6.43466 | + | 2.34203i | 1.05785 | + | 0.385027i | 0.811621 | − | 0.584185i | \(-0.198586\pi\) |
0.246231 | + | 0.969211i | \(0.420808\pi\) | |||||||
\(38\) | −3.57457 | + | 0.417807i | −0.579871 | + | 0.0677772i | ||||
\(39\) | 2.12913 | + | 6.37498i | 0.340934 | + | 1.02081i | ||||
\(40\) | 5.69858 | − | 19.0346i | 0.901025 | − | 3.00963i | ||||
\(41\) | 1.02325 | − | 3.41789i | 0.159805 | − | 0.533784i | −0.840159 | − | 0.542340i | \(-0.817538\pi\) |
0.999963 | + | 0.00855611i | \(0.00272353\pi\) | |||||||
\(42\) | −7.15986 | − | 1.46080i | −1.10479 | − | 0.225407i | ||||
\(43\) | −7.40540 | + | 0.865567i | −1.12931 | + | 0.131998i | −0.660164 | − | 0.751122i | \(-0.729513\pi\) |
−0.469149 | + | 0.883119i | \(0.655439\pi\) | |||||||
\(44\) | −8.21121 | − | 2.98864i | −1.23789 | − | 0.450554i | ||||
\(45\) | 4.25041 | − | 8.56371i | 0.633614 | − | 1.27660i | ||||
\(46\) | −5.41510 | + | 1.97094i | −0.798413 | + | 0.290599i | ||||
\(47\) | −6.19793 | + | 3.11272i | −0.904060 | + | 0.454036i | −0.839178 | − | 0.543857i | \(-0.816964\pi\) |
−0.0648824 | + | 0.997893i | \(0.520667\pi\) | |||||||
\(48\) | 8.94940 | − | 8.00218i | 1.29173 | − | 1.15501i | ||||
\(49\) | 4.21354 | + | 0.492492i | 0.601934 | + | 0.0703560i | ||||
\(50\) | 11.7053 | + | 5.87863i | 1.65538 | + | 0.831364i | ||||
\(51\) | −1.93711 | + | 7.29816i | −0.271249 | + | 1.02195i | ||||
\(52\) | −16.8182 | − | 3.98600i | −2.33227 | − | 0.552758i | ||||
\(53\) | 1.35317 | + | 2.34375i | 0.185872 | + | 0.321939i | 0.943870 | − | 0.330317i | \(-0.107156\pi\) |
−0.757998 | + | 0.652257i | \(0.773822\pi\) | |||||||
\(54\) | 11.1862 | − | 7.00942i | 1.52224 | − | 0.953862i | ||||
\(55\) | 3.12597 | − | 5.41433i | 0.421505 | − | 0.730068i | ||||
\(56\) | 7.10527 | − | 7.53114i | 0.949481 | − | 1.00639i | ||||
\(57\) | 1.40261 | − | 2.01322i | 0.185780 | − | 0.266657i | ||||
\(58\) | 1.39468 | + | 23.9458i | 0.183131 | + | 3.14423i | ||||
\(59\) | −2.11116 | + | 2.83578i | −0.274849 | + | 0.369187i | −0.918019 | − | 0.396537i | \(-0.870212\pi\) |
0.643169 | + | 0.765724i | \(0.277619\pi\) | |||||||
\(60\) | 12.9563 | + | 20.8950i | 1.67265 | + | 2.69753i | ||||
\(61\) | 2.33097 | + | 1.53311i | 0.298451 | + | 0.196294i | 0.689898 | − | 0.723906i | \(-0.257655\pi\) |
−0.391448 | + | 0.920200i | \(0.628026\pi\) | |||||||
\(62\) | −1.84338 | + | 10.4543i | −0.234109 | + | 1.32770i | ||||
\(63\) | 3.98208 | − | 2.99383i | 0.501695 | − | 0.377188i | ||||
\(64\) | −0.140001 | − | 0.793987i | −0.0175002 | − | 0.0992484i | ||||
\(65\) | 4.89805 | − | 11.3550i | 0.607528 | − | 1.40841i | ||||
\(66\) | 7.58864 | − | 4.11488i | 0.934097 | − | 0.506507i | ||||
\(67\) | −1.79444 | + | 0.425291i | −0.219226 | + | 0.0519576i | −0.338761 | − | 0.940872i | \(-0.610008\pi\) |
0.119535 | + | 0.992830i | \(0.461860\pi\) | |||||||
\(68\) | −13.3254 | − | 14.1241i | −1.61594 | − | 1.71279i | ||||
\(69\) | 1.44193 | − | 3.65464i | 0.173588 | − | 0.439967i | ||||
\(70\) | 8.02876 | + | 10.7845i | 0.959621 | + | 1.28899i | ||||
\(71\) | 1.75933 | − | 1.47625i | 0.208794 | − | 0.175199i | −0.532394 | − | 0.846497i | \(-0.678707\pi\) |
0.741187 | + | 0.671298i | \(0.234263\pi\) | |||||||
\(72\) | 0.0881892 | + | 18.7042i | 0.0103932 | + | 2.20432i | ||||
\(73\) | −8.76373 | − | 7.35364i | −1.02572 | − | 0.860679i | −0.0353822 | − | 0.999374i | \(-0.511265\pi\) |
−0.990335 | + | 0.138695i | \(0.955709\pi\) | |||||||
\(74\) | 1.01151 | − | 17.3670i | 0.117586 | − | 2.01887i | ||||
\(75\) | −8.29154 | + | 3.31667i | −0.957424 | + | 0.382976i | ||||
\(76\) | 2.49919 | + | 5.79377i | 0.286676 | + | 0.664591i | ||||
\(77\) | 2.72192 | − | 1.79023i | 0.310191 | − | 0.204016i | ||||
\(78\) | 13.9639 | − | 9.82679i | 1.58110 | − | 1.11267i | ||||
\(79\) | −1.99898 | − | 6.67707i | −0.224903 | − | 0.751229i | −0.993733 | − | 0.111776i | \(-0.964346\pi\) |
0.768830 | − | 0.639453i | \(-0.220839\pi\) | |||||||
\(80\) | −22.0887 | −2.46959 | ||||||||
\(81\) | −1.47919 | + | 8.87761i | −0.164354 | + | 0.986401i | ||||
\(82\) | −9.06394 | −1.00094 | ||||||||
\(83\) | 0.0307734 | + | 0.102790i | 0.00337782 | + | 0.0112827i | 0.959662 | − | 0.281157i | \(-0.0907181\pi\) |
−0.956284 | + | 0.292440i | \(0.905533\pi\) | |||||||
\(84\) | 1.14670 | + | 12.7603i | 0.125115 | + | 1.39226i | ||||
\(85\) | 11.6074 | − | 7.63431i | 1.25900 | − | 0.828057i | ||||
\(86\) | 7.50235 | + | 17.3924i | 0.809000 | + | 1.87547i | ||||
\(87\) | −12.8516 | − | 10.1126i | −1.37784 | − | 1.08419i | ||||
\(88\) | −0.711197 | + | 12.2108i | −0.0758138 | + | 1.30167i | ||||
\(89\) | 4.04918 | + | 3.39767i | 0.429212 | + | 0.360152i | 0.831654 | − | 0.555293i | \(-0.187394\pi\) |
−0.402442 | + | 0.915445i | \(0.631838\pi\) | |||||||
\(90\) | −23.9391 | − | 4.10483i | −2.52340 | − | 0.432687i | ||||
\(91\) | 4.93645 | − | 4.14218i | 0.517481 | − | 0.434218i | ||||
\(92\) | 6.03332 | + | 8.10416i | 0.629017 | + | 0.844917i | ||||
\(93\) | −4.50229 | − | 5.66656i | −0.466865 | − | 0.587595i | ||||
\(94\) | 12.0916 | + | 12.8164i | 1.24716 | + | 1.32191i | ||||
\(95\) | −4.39281 | + | 1.04111i | −0.450692 | + | 0.106816i | ||||
\(96\) | −7.58715 | − | 4.65517i | −0.774360 | − | 0.475116i | ||||
\(97\) | −1.72543 | + | 4.00000i | −0.175191 | + | 0.406138i | −0.983075 | − | 0.183203i | \(-0.941353\pi\) |
0.807884 | + | 0.589341i | \(0.200613\pi\) | |||||||
\(98\) | −1.87147 | − | 10.6136i | −0.189047 | − | 1.07214i | ||||
\(99\) | −1.33025 | + | 5.73310i | −0.133695 | + | 0.576198i | ||||
\(100\) | 3.98787 | − | 22.6163i | 0.398787 | − | 2.26163i | ||||
\(101\) | 9.35995 | + | 6.15614i | 0.931350 | + | 0.612559i | 0.921913 | − | 0.387397i | \(-0.126626\pi\) |
0.00943705 | + | 0.999955i | \(0.496996\pi\) | |||||||
\(102\) | 19.1735 | − | 0.603134i | 1.89846 | − | 0.0597192i | ||||
\(103\) | −2.40547 | + | 3.23111i | −0.237018 | + | 0.318371i | −0.904678 | − | 0.426096i | \(-0.859889\pi\) |
0.667660 | + | 0.744466i | \(0.267296\pi\) | |||||||
\(104\) | 1.40675 | + | 24.1529i | 0.137943 | + | 2.36839i | ||||
\(105\) | −9.13339 | − | 0.777376i | −0.891328 | − | 0.0758642i | ||||
\(106\) | 4.71822 | − | 5.00102i | 0.458274 | − | 0.485742i | ||||
\(107\) | −8.10012 | + | 14.0298i | −0.783068 | + | 1.35631i | 0.147079 | + | 0.989125i | \(0.453013\pi\) |
−0.930147 | + | 0.367188i | \(0.880320\pi\) | |||||||
\(108\) | −17.3979 | − | 15.2637i | −1.67412 | − | 1.46875i | ||||
\(109\) | −6.44548 | − | 11.1639i | −0.617365 | − | 1.06931i | −0.989965 | − | 0.141315i | \(-0.954867\pi\) |
0.372600 | − | 0.927992i | \(-0.378466\pi\) | |||||||
\(110\) | −15.4549 | − | 3.66289i | −1.47357 | − | 0.349242i | ||||
\(111\) | 8.40634 | + | 8.36680i | 0.797894 | + | 0.794141i | ||||
\(112\) | −10.2861 | − | 5.16587i | −0.971944 | − | 0.488129i | ||||
\(113\) | 16.0234 | + | 1.87286i | 1.50735 | + | 0.176184i | 0.829289 | − | 0.558819i | \(-0.188745\pi\) |
0.678063 | + | 0.735004i | \(0.262820\pi\) | |||||||
\(114\) | −5.92169 | − | 1.94675i | −0.554617 | − | 0.182330i | ||||
\(115\) | −6.45980 | + | 3.24423i | −0.602379 | + | 0.302526i | ||||
\(116\) | 39.5181 | − | 14.3834i | 3.66917 | − | 1.33547i | ||||
\(117\) | −1.29694 | + | 11.5689i | −0.119903 | + | 1.06954i | ||||
\(118\) | 8.43989 | + | 3.07187i | 0.776955 | + | 0.282788i | ||||
\(119\) | 7.19067 | − | 0.840468i | 0.659167 | − | 0.0770456i | ||||
\(120\) | 22.8180 | − | 25.7625i | 2.08299 | − | 2.35178i | ||||
\(121\) | 2.05103 | − | 6.85090i | 0.186457 | − | 0.622810i | ||||
\(122\) | 2.03283 | − | 6.79013i | 0.184044 | − | 0.614749i | ||||
\(123\) | 4.09725 | − | 4.62596i | 0.369437 | − | 0.417109i | ||||
\(124\) | 18.4860 | − | 2.16071i | 1.66009 | − | 0.194037i | ||||
\(125\) | 0.466861 | + | 0.169924i | 0.0417573 | + | 0.0151984i | ||||
\(126\) | −10.1878 | − | 7.51012i | −0.907598 | − | 0.669054i | ||||
\(127\) | 3.75129 | − | 1.36536i | 0.332873 | − | 0.121156i | −0.170176 | − | 0.985414i | \(-0.554434\pi\) |
0.503049 | + | 0.864258i | \(0.332211\pi\) | |||||||
\(128\) | −11.0156 | + | 5.53222i | −0.973647 | + | 0.488984i | ||||
\(129\) | −12.2679 | − | 4.03307i | −1.08013 | − | 0.355092i | ||||
\(130\) | −31.2043 | − | 3.64726i | −2.73680 | − | 0.319886i | ||||
\(131\) | −8.72570 | − | 4.38221i | −0.762368 | − | 0.382876i | 0.0247374 | − | 0.999694i | \(-0.492125\pi\) |
−0.787106 | + | 0.616818i | \(0.788421\pi\) | |||||||
\(132\) | −10.7272 | − | 10.6768i | −0.933687 | − | 0.929295i | ||||
\(133\) | −2.28909 | − | 0.542524i | −0.198489 | − | 0.0470428i | ||||
\(134\) | 2.34254 | + | 4.05740i | 0.202365 | + | 0.350506i | ||||
\(135\) | 12.9164 | − | 10.3623i | 1.11167 | − | 0.891841i | ||||
\(136\) | −13.5903 | + | 23.5391i | −1.16536 | + | 2.01846i | ||||
\(137\) | 5.09844 | − | 5.40403i | 0.435589 | − | 0.461697i | −0.471975 | − | 0.881612i | \(-0.656459\pi\) |
0.907563 | + | 0.419915i | \(0.137940\pi\) | |||||||
\(138\) | −9.94521 | − | 0.846473i | −0.846592 | − | 0.0720566i | ||||
\(139\) | −1.03228 | − | 17.7236i | −0.0875572 | − | 1.50330i | −0.700773 | − | 0.713384i | \(-0.747161\pi\) |
0.613216 | − | 0.789916i | \(-0.289876\pi\) | |||||||
\(140\) | 14.0765 | − | 18.9080i | 1.18968 | − | 1.59802i | ||||
\(141\) | −12.0070 | + | 0.377699i | −1.01117 | + | 0.0318080i | ||||
\(142\) | −4.87475 | − | 3.20618i | −0.409080 | − | 0.269056i | ||||
\(143\) | −1.32192 | + | 7.49701i | −0.110545 | + | 0.626931i | ||||
\(144\) | 19.8919 | − | 6.05757i | 1.65765 | − | 0.504797i | ||||
\(145\) | 5.22485 | + | 29.6316i | 0.433900 | + | 2.46077i | ||||
\(146\) | −11.5117 | + | 26.6870i | −0.952711 | + | 2.20863i | ||||
\(147\) | 6.26286 | + | 3.84264i | 0.516552 | + | 0.316935i | ||||
\(148\) | −29.6783 | + | 7.03389i | −2.43954 | + | 0.578182i | ||||
\(149\) | 9.63822 | + | 10.2159i | 0.789594 | + | 0.836920i | 0.989745 | − | 0.142845i | \(-0.0456249\pi\) |
−0.200151 | + | 0.979765i | \(0.564143\pi\) | |||||||
\(150\) | 14.1135 | + | 17.7631i | 1.15236 | + | 1.45035i | ||||
\(151\) | 1.65161 | + | 2.21850i | 0.134406 | + | 0.180539i | 0.864231 | − | 0.503096i | \(-0.167806\pi\) |
−0.729825 | + | 0.683634i | \(0.760398\pi\) | |||||||
\(152\) | 6.76593 | − | 5.67729i | 0.548789 | − | 0.460489i | ||||
\(153\) | −8.35935 | + | 10.0582i | −0.675814 | + | 0.813159i | ||||
\(154\) | −6.34028 | − | 5.32013i | −0.510915 | − | 0.428708i | ||||
\(155\) | −0.774273 | + | 13.2938i | −0.0621911 | + | 1.06778i | ||||
\(156\) | −23.5268 | − | 18.5126i | −1.88365 | − | 1.48219i | ||||
\(157\) | 1.97935 | + | 4.58865i | 0.157969 | + | 0.366214i | 0.978758 | − | 0.205018i | \(-0.0657251\pi\) |
−0.820789 | + | 0.571231i | \(0.806466\pi\) | |||||||
\(158\) | −14.7940 | + | 9.73015i | −1.17695 | + | 0.774089i | ||||
\(159\) | 0.419550 | + | 4.66869i | 0.0332725 | + | 0.370251i | ||||
\(160\) | 4.69723 | + | 15.6898i | 0.371349 | + | 1.24039i | ||||
\(161\) | −3.76687 | −0.296871 | ||||||||
\(162\) | 22.6839 | − | 2.86844i | 1.78222 | − | 0.225366i | ||||
\(163\) | 12.7147 | 0.995894 | 0.497947 | − | 0.867208i | \(-0.334087\pi\) | ||||
0.497947 | + | 0.867208i | \(0.334087\pi\) | |||||||
\(164\) | 4.55771 | + | 15.2238i | 0.355898 | + | 1.18878i | ||||
\(165\) | 8.85565 | − | 6.23196i | 0.689412 | − | 0.485157i | ||||
\(166\) | 0.227746 | − | 0.149791i | 0.0176765 | − | 0.0116260i | ||||
\(167\) | −8.01900 | − | 18.5901i | −0.620529 | − | 1.43855i | −0.881024 | − | 0.473072i | \(-0.843145\pi\) |
0.260495 | − | 0.965475i | \(-0.416114\pi\) | |||||||
\(168\) | 16.6508 | − | 6.66041i | 1.28463 | − | 0.513862i | ||||
\(169\) | −0.119653 | + | 2.05436i | −0.00920409 | + | 0.158028i | ||||
\(170\) | −27.0377 | − | 22.6873i | −2.07369 | − | 1.74004i | ||||
\(171\) | 3.67040 | − | 2.14224i | 0.280682 | − | 0.163821i | ||||
\(172\) | 25.4399 | − | 21.3466i | 1.93977 | − | 1.62766i | ||||
\(173\) | −4.05744 | − | 5.45009i | −0.308482 | − | 0.414363i | 0.620664 | − | 0.784077i | \(-0.286863\pi\) |
−0.929146 | + | 0.369714i | \(0.879456\pi\) | |||||||
\(174\) | −15.2478 | + | 38.6463i | −1.15593 | + | 2.92977i | ||||
\(175\) | 5.87572 | + | 6.22790i | 0.444163 | + | 0.470785i | ||||
\(176\) | 13.2312 | − | 3.13585i | 0.997339 | − | 0.236374i | ||||
\(177\) | −5.38295 | + | 2.91886i | −0.404607 | + | 0.219395i | ||||
\(178\) | 5.31883 | − | 12.3304i | 0.398663 | − | 0.924205i | ||||
\(179\) | −3.89030 | − | 22.0630i | −0.290775 | − | 1.64907i | −0.683897 | − | 0.729579i | \(-0.739716\pi\) |
0.393122 | − | 0.919486i | \(-0.371395\pi\) | |||||||
\(180\) | 5.14307 | + | 42.2723i | 0.383342 | + | 3.15079i | ||||
\(181\) | −3.94361 | + | 22.3653i | −0.293126 | + | 1.66240i | 0.381595 | + | 0.924330i | \(0.375375\pi\) |
−0.674721 | + | 0.738073i | \(0.735736\pi\) | |||||||
\(182\) | −13.6780 | − | 8.99614i | −1.01388 | − | 0.666838i | ||||
\(183\) | 2.54656 | + | 4.10690i | 0.188247 | + | 0.303590i | ||||
\(184\) | 8.44528 | − | 11.3440i | 0.622594 | − | 0.836289i | ||||
\(185\) | −1.26885 | − | 21.7853i | −0.0932877 | − | 1.60169i | ||||
\(186\) | −10.5107 | + | 15.0864i | −0.770679 | + | 1.10619i | ||||
\(187\) | −5.86905 | + | 6.22083i | −0.429188 | + | 0.454912i | ||||
\(188\) | 15.4463 | − | 26.7537i | 1.12653 | − | 1.95122i | ||||
\(189\) | 8.43820 | − | 1.80466i | 0.613789 | − | 0.131270i | ||||
\(190\) | 5.73455 | + | 9.93253i | 0.416028 | + | 0.720581i | ||||
\(191\) | 17.7938 | + | 4.21721i | 1.28752 | + | 0.305147i | 0.816688 | − | 0.577079i | \(-0.195808\pi\) |
0.470827 | + | 0.882226i | \(0.343956\pi\) | |||||||
\(192\) | 0.358245 | − | 1.34971i | 0.0258541 | − | 0.0974067i | ||||
\(193\) | 7.85541 | + | 3.94513i | 0.565445 | + | 0.283977i | 0.708469 | − | 0.705742i | \(-0.249386\pi\) |
−0.143024 | + | 0.989719i | \(0.545683\pi\) | |||||||
\(194\) | 10.9923 | + | 1.28481i | 0.789200 | + | 0.0922443i | ||||
\(195\) | 15.9670 | − | 14.2770i | 1.14342 | − | 1.02240i | ||||
\(196\) | −16.8857 | + | 8.48031i | −1.20612 | + | 0.605736i | ||||
\(197\) | −1.74796 | + | 0.636207i | −0.124537 | + | 0.0453279i | −0.403537 | − | 0.914963i | \(-0.632219\pi\) |
0.279000 | + | 0.960291i | \(0.409997\pi\) | |||||||
\(198\) | 14.9223 | − | 0.939743i | 1.06048 | − | 0.0667846i | ||||
\(199\) | −12.5821 | − | 4.57950i | −0.891919 | − | 0.324632i | −0.144909 | − | 0.989445i | \(-0.546289\pi\) |
−0.747010 | + | 0.664813i | \(0.768511\pi\) | |||||||
\(200\) | −31.9287 | + | 3.73193i | −2.25770 | + | 0.263887i | ||||
\(201\) | −3.12969 | − | 0.638540i | −0.220751 | − | 0.0450392i | ||||
\(202\) | 8.16277 | − | 27.2656i | 0.574331 | − | 1.91840i | ||||
\(203\) | −4.49685 | + | 15.0205i | −0.315617 | + | 1.05423i | ||||
\(204\) | −10.6542 | − | 31.9006i | −0.745947 | − | 2.23349i | ||||
\(205\) | −11.2930 | + | 1.31996i | −0.788738 | + | 0.0921902i | ||||
\(206\) | 9.61648 | + | 3.50011i | 0.670012 | + | 0.243865i | ||||
\(207\) | 4.92763 | − | 4.69309i | 0.342494 | − | 0.326193i | ||||
\(208\) | 25.2743 | − | 9.19908i | 1.75246 | − | 0.637842i | ||||
\(209\) | 2.48350 | − | 1.24726i | 0.171787 | − | 0.0862748i | ||||
\(210\) | 4.76286 | + | 22.7951i | 0.328668 | + | 1.57301i | ||||
\(211\) | −24.2047 | − | 2.82912i | −1.66632 | − | 0.194765i | −0.769959 | − | 0.638093i | \(-0.779723\pi\) |
−0.896359 | + | 0.443329i | \(0.853797\pi\) | |||||||
\(212\) | −10.7723 | − | 5.41003i | −0.739841 | − | 0.371562i | ||||
\(213\) | 3.83991 | − | 1.03861i | 0.263107 | − | 0.0711644i | ||||
\(214\) | 40.0474 | + | 9.49140i | 2.73758 | + | 0.648819i | ||||
\(215\) | 11.8802 | + | 20.5771i | 0.810223 | + | 1.40335i | ||||
\(216\) | −13.4836 | + | 29.4578i | −0.917442 | + | 2.00435i | ||||
\(217\) | −3.46956 | + | 6.00945i | −0.235529 | + | 0.407948i | ||||
\(218\) | −22.4741 | + | 23.8211i | −1.52214 | + | 1.61337i | ||||
\(219\) | −8.41653 | − | 17.9388i | −0.568736 | − | 1.21219i | ||||
\(220\) | 1.61917 | + | 27.8000i | 0.109164 | + | 1.87428i | ||||
\(221\) | −10.1020 | + | 13.5693i | −0.679534 | + | 0.912772i | ||||
\(222\) | 14.2378 | − | 26.5554i | 0.955582 | − | 1.78228i | ||||
\(223\) | 24.1873 | + | 15.9082i | 1.61970 | + | 1.06529i | 0.944932 | + | 0.327267i | \(0.106128\pi\) |
0.674770 | + | 0.738028i | \(0.264243\pi\) | |||||||
\(224\) | −1.48200 | + | 8.40485i | −0.0990204 | + | 0.561573i | ||||
\(225\) | −15.4456 | − | 0.826552i | −1.02971 | − | 0.0551034i | ||||
\(226\) | −7.11690 | − | 40.3619i | −0.473409 | − | 2.68484i | ||||
\(227\) | 2.28328 | − | 5.29323i | 0.151547 | − | 0.351324i | −0.825483 | − | 0.564426i | \(-0.809097\pi\) |
0.977030 | + | 0.213102i | \(0.0683567\pi\) | |||||||
\(228\) | −0.292110 | + | 10.9250i | −0.0193455 | + | 0.723526i | ||||
\(229\) | −22.2565 | + | 5.27489i | −1.47075 | + | 0.348575i | −0.886398 | − | 0.462924i | \(-0.846800\pi\) |
−0.584355 | + | 0.811498i | \(0.698652\pi\) | |||||||
\(230\) | 12.6025 | + | 13.3579i | 0.830985 | + | 0.880792i | ||||
\(231\) | 5.58129 | − | 0.830983i | 0.367222 | − | 0.0546747i | ||||
\(232\) | −35.1526 | − | 47.2182i | −2.30788 | − | 3.10002i | ||||
\(233\) | 15.6563 | − | 13.1372i | 1.02568 | − | 0.860647i | 0.0353483 | − | 0.999375i | \(-0.488746\pi\) |
0.990330 | + | 0.138728i | \(0.0443015\pi\) | |||||||
\(234\) | 29.1010 | − | 5.27289i | 1.90239 | − | 0.344699i | ||||
\(235\) | 16.9317 | + | 14.2074i | 1.10450 | + | 0.926787i | ||||
\(236\) | 0.915605 | − | 15.7203i | 0.0596008 | − | 1.02331i | ||||
\(237\) | 1.72148 | − | 11.9488i | 0.111822 | − | 0.776158i | ||||
\(238\) | −7.28481 | − | 16.8881i | −0.472204 | − | 1.09469i | ||||
\(239\) | 9.70133 | − | 6.38066i | 0.627527 | − | 0.412731i | −0.195524 | − | 0.980699i | \(-0.562641\pi\) |
0.823051 | + | 0.567968i | \(0.192270\pi\) | |||||||
\(240\) | −34.7123 | − | 16.0871i | −2.24067 | − | 1.03842i | ||||
\(241\) | −3.80549 | − | 12.7112i | −0.245133 | − | 0.818803i | −0.988670 | − | 0.150107i | \(-0.952038\pi\) |
0.743536 | − | 0.668696i | \(-0.233147\pi\) | |||||||
\(242\) | −18.1680 | −1.16788 | ||||||||
\(243\) | −8.79004 | + | 12.8738i | −0.563881 | + | 0.825856i | ||||
\(244\) | −12.4269 | −0.795552 | ||||||||
\(245\) | −3.87736 | − | 12.9513i | −0.247716 | − | 0.827428i | ||||
\(246\) | −14.2439 | − | 6.60121i | −0.908158 | − | 0.420878i | ||||
\(247\) | 4.59274 | − | 3.02069i | 0.292229 | − | 0.192202i | ||||
\(248\) | −10.3188 | − | 23.9217i | −0.655246 | − | 1.51903i | ||||
\(249\) | −0.0265013 | + | 0.183946i | −0.00167945 | + | 0.0116571i | ||||
\(250\) | 0.0733894 | − | 1.26005i | 0.00464155 | − | 0.0796924i | ||||
\(251\) | −5.58921 | − | 4.68990i | −0.352788 | − | 0.296024i | 0.449121 | − | 0.893471i | \(-0.351737\pi\) |
−0.801908 | + | 0.597447i | \(0.796182\pi\) | |||||||
\(252\) | −7.49120 | + | 20.8878i | −0.471901 | + | 1.31581i | ||||
\(253\) | 3.40886 | − | 2.86038i | 0.214313 | − | 0.179830i | ||||
\(254\) | −6.05625 | − | 8.13496i | −0.380003 | − | 0.510433i | ||||
\(255\) | 23.8010 | − | 3.54366i | 1.49047 | − | 0.221913i | ||||
\(256\) | 20.3839 | + | 21.6056i | 1.27399 | + | 1.35035i | ||||
\(257\) | −13.3188 | + | 3.15661i | −0.830803 | + | 0.196904i | −0.623946 | − | 0.781467i | \(-0.714472\pi\) |
−0.206857 | + | 0.978371i | \(0.566323\pi\) | |||||||
\(258\) | −0.876890 | + | 32.7960i | −0.0545928 | + | 2.04179i | ||||
\(259\) | 4.50404 | − | 10.4415i | 0.279867 | − | 0.648806i | ||||
\(260\) | 9.56483 | + | 54.2448i | 0.593185 | + | 3.36412i | ||||
\(261\) | −12.8313 | − | 25.2517i | −0.794238 | − | 1.56304i | ||||
\(262\) | −4.30756 | + | 24.4294i | −0.266122 | + | 1.50925i | ||||
\(263\) | 0.147003 | + | 0.0966853i | 0.00906459 | + | 0.00596187i | 0.554033 | − | 0.832495i | \(-0.313088\pi\) |
−0.544969 | + | 0.838456i | \(0.683458\pi\) | |||||||
\(264\) | −10.0107 | + | 18.6712i | −0.616114 | + | 1.14913i | ||||
\(265\) | 5.15027 | − | 6.91802i | 0.316379 | − | 0.424970i | ||||
\(266\) | 0.347505 | + | 5.96643i | 0.0213069 | + | 0.365825i | ||||
\(267\) | 3.88876 | + | 8.28840i | 0.237988 | + | 0.507242i | ||||
\(268\) | 5.63690 | − | 5.97476i | 0.344328 | − | 0.364967i | ||||
\(269\) | 4.02592 | − | 6.97309i | 0.245464 | − | 0.425157i | −0.716798 | − | 0.697281i | \(-0.754393\pi\) |
0.962262 | + | 0.272124i | \(0.0877262\pi\) | |||||||
\(270\) | −34.6306 | − | 23.8854i | −2.10755 | − | 1.45362i | ||||
\(271\) | −9.57442 | − | 16.5834i | −0.581605 | − | 1.00737i | −0.995289 | − | 0.0969488i | \(-0.969092\pi\) |
0.413685 | − | 0.910420i | \(-0.364242\pi\) | |||||||
\(272\) | 29.4022 | + | 6.96846i | 1.78277 | + | 0.422525i | ||||
\(273\) | 10.7743 | − | 2.91421i | 0.652092 | − | 0.176376i | ||||
\(274\) | −16.8670 | − | 8.47095i | −1.01898 | − | 0.511749i | ||||
\(275\) | −10.0465 | − | 1.17426i | −0.605824 | − | 0.0708107i | ||||
\(276\) | 3.57911 | + | 17.1297i | 0.215437 | + | 1.03108i | ||||
\(277\) | 19.0231 | − | 9.55376i | 1.14299 | − | 0.574030i | 0.226468 | − | 0.974019i | \(-0.427282\pi\) |
0.916520 | + | 0.399989i | \(0.130986\pi\) | |||||||
\(278\) | −42.3832 | + | 15.4262i | −2.54198 | + | 0.925204i | ||||
\(279\) | −2.94839 | − | 12.1839i | −0.176515 | − | 0.729433i | ||||
\(280\) | −31.0062 | − | 11.2853i | −1.85297 | − | 0.674427i | ||||
\(281\) | −9.93950 | + | 1.16176i | −0.592941 | + | 0.0693049i | −0.407271 | − | 0.913307i | \(-0.633520\pi\) |
−0.185670 | + | 0.982612i | \(0.559445\pi\) | |||||||
\(282\) | 9.66781 | + | 28.9471i | 0.575710 | + | 1.72377i | ||||
\(283\) | −7.91496 | + | 26.4378i | −0.470495 | + | 1.57156i | 0.312740 | + | 0.949839i | \(0.398753\pi\) |
−0.783236 | + | 0.621725i | \(0.786432\pi\) | |||||||
\(284\) | −2.93388 | + | 9.79985i | −0.174094 | + | 0.581514i | ||||
\(285\) | −7.66150 | − | 1.56315i | −0.453828 | − | 0.0925930i | ||||
\(286\) | 19.2092 | − | 2.24524i | 1.13587 | − | 0.132764i | ||||
\(287\) | −5.56753 | − | 2.02641i | −0.328641 | − | 0.119615i | ||||
\(288\) | −8.53281 | − | 12.8412i | −0.502801 | − | 0.756677i | ||||
\(289\) | −1.88425 | + | 0.685809i | −0.110838 | + | 0.0403417i | ||||
\(290\) | 68.3097 | − | 34.3064i | 4.01129 | − | 2.01454i | ||||
\(291\) | −5.62467 | + | 5.02934i | −0.329724 | + | 0.294825i | ||||
\(292\) | 50.6122 | + | 5.91571i | 2.96185 | + | 0.346191i | ||||
\(293\) | −6.55147 | − | 3.29027i | −0.382741 | − | 0.192220i | 0.247017 | − | 0.969011i | \(-0.420550\pi\) |
−0.629758 | + | 0.776792i | \(0.716846\pi\) | |||||||
\(294\) | 4.78885 | − | 18.0422i | 0.279291 | − | 1.05225i | ||||
\(295\) | 10.9628 | + | 2.59824i | 0.638281 | + | 0.151275i | ||||
\(296\) | 21.3468 | + | 36.9738i | 1.24076 | + | 2.14906i | ||||
\(297\) | −6.26586 | + | 8.04071i | −0.363582 | + | 0.466569i | ||||
\(298\) | 17.8406 | − | 30.9008i | 1.03348 | − | 1.79004i | ||||
\(299\) | 6.04031 | − | 6.40235i | 0.349320 | − | 0.370258i | ||||
\(300\) | 22.7382 | − | 32.6370i | 1.31279 | − | 1.88430i | ||||
\(301\) | 0.719922 | + | 12.3606i | 0.0414956 | + | 0.712453i | ||||
\(302\) | 4.19592 | − | 5.63610i | 0.241448 | − | 0.324321i | ||||
\(303\) | 10.2256 | + | 16.4911i | 0.587446 | + | 0.947390i | ||||
\(304\) | −8.20355 | − | 5.39556i | −0.470506 | − | 0.309456i | ||||
\(305\) | 1.54393 | − | 8.75604i | 0.0884050 | − | 0.501369i | ||||
\(306\) | 30.5703 | + | 13.0161i | 1.74759 | + | 0.744083i | ||||
\(307\) | 1.01208 | + | 5.73982i | 0.0577627 | + | 0.327589i | 0.999972 | − | 0.00743517i | \(-0.00236671\pi\) |
−0.942210 | + | 0.335024i | \(0.891256\pi\) | |||||||
\(308\) | −5.74756 | + | 13.3243i | −0.327498 | + | 0.759225i | ||||
\(309\) | −6.13338 | + | 3.32577i | −0.348916 | + | 0.189197i | ||||
\(310\) | 32.9182 | − | 7.80176i | 1.86963 | − | 0.443110i | ||||
\(311\) | −6.25936 | − | 6.63453i | −0.354936 | − | 0.376210i | 0.525162 | − | 0.851002i | \(-0.324005\pi\) |
−0.880098 | + | 0.474792i | \(0.842523\pi\) | |||||||
\(312\) | −15.3797 | + | 38.9807i | −0.870705 | + | 2.20684i | ||||
\(313\) | 3.81770 | + | 5.12805i | 0.215789 | + | 0.289855i | 0.896816 | − | 0.442403i | \(-0.145874\pi\) |
−0.681027 | + | 0.732258i | \(0.738467\pi\) | |||||||
\(314\) | 9.72554 | − | 8.16070i | 0.548844 | − | 0.460535i | ||||
\(315\) | −13.7869 | − | 7.87343i | −0.776804 | − | 0.443618i | ||||
\(316\) | 23.7818 | + | 19.9553i | 1.33783 | + | 1.12257i | ||||
\(317\) | −1.43665 | + | 24.6663i | −0.0806903 | + | 1.38540i | 0.678533 | + | 0.734569i | \(0.262616\pi\) |
−0.759224 | + | 0.650830i | \(0.774421\pi\) | |||||||
\(318\) | 11.0569 | − | 4.42282i | 0.620038 | − | 0.248019i | ||||
\(319\) | −7.33638 | − | 17.0076i | −0.410759 | − | 0.952245i | ||||
\(320\) | −2.14665 | + | 1.41187i | −0.120001 | + | 0.0789262i | ||||
\(321\) | −22.9471 | + | 16.1485i | −1.28078 | + | 0.901320i | ||||
\(322\) | 2.74463 | + | 9.16772i | 0.152952 | + | 0.510897i | ||||
\(323\) | 6.17570 | 0.343625 | ||||||||
\(324\) | −16.2242 | − | 36.6576i | −0.901346 | − | 2.03653i | ||||
\(325\) | −20.0072 | −1.10980 | ||||||||
\(326\) | −9.26426 | − | 30.9448i | −0.513100 | − | 1.71387i | ||||
\(327\) | −1.99843 | − | 22.2382i | −0.110513 | − | 1.22977i | ||||
\(328\) | 18.5849 | − | 12.2235i | 1.02618 | − | 0.674929i | ||||
\(329\) | 4.56194 | + | 10.5758i | 0.251508 | + | 0.583061i | ||||
\(330\) | −21.6196 | − | 17.0119i | −1.19012 | − | 0.936476i | ||||
\(331\) | 0.411008 | − | 7.05674i | 0.0225911 | − | 0.387873i | −0.967994 | − | 0.250974i | \(-0.919249\pi\) |
0.990585 | − | 0.136900i | \(-0.0437138\pi\) | |||||||
\(332\) | −0.366110 | − | 0.307202i | −0.0200929 | − | 0.0168599i | ||||
\(333\) | 7.11701 | + | 19.2706i | 0.390010 | + | 1.05602i | ||||
\(334\) | −39.4014 | + | 33.0617i | −2.15595 | + | 1.80906i | ||||
\(335\) | 3.50950 | + | 4.71408i | 0.191745 | + | 0.257558i | ||||
\(336\) | −12.4022 | − | 15.6094i | −0.676598 | − | 0.851563i | ||||
\(337\) | −0.336204 | − | 0.356356i | −0.0183142 | − | 0.0194119i | 0.718152 | − | 0.695887i | \(-0.244988\pi\) |
−0.736466 | + | 0.676475i | \(0.763507\pi\) | |||||||
\(338\) | 5.08705 | − | 1.20565i | 0.276699 | − | 0.0655788i | ||||
\(339\) | 23.8166 | + | 14.6129i | 1.29354 | + | 0.793665i | ||||
\(340\) | −24.5100 | + | 56.8206i | −1.32924 | + | 3.08153i | ||||
\(341\) | −1.42347 | − | 8.07292i | −0.0770854 | − | 0.437173i | ||||
\(342\) | −7.88808 | − | 7.37204i | −0.426539 | − | 0.398634i | ||||
\(343\) | 3.24192 | − | 18.3858i | 0.175047 | − | 0.992742i | ||||
\(344\) | −38.8382 | − | 25.5443i | −2.09401 | − | 1.37725i | ||||
\(345\) | −12.5143 | + | 0.393657i | −0.673746 | + | 0.0211938i | ||||
\(346\) | −10.3080 | + | 13.8460i | −0.554159 | + | 0.744365i | ||||
\(347\) | 1.09624 | + | 18.8217i | 0.0588492 | + | 1.01040i | 0.890465 | + | 0.455051i | \(0.150379\pi\) |
−0.831616 | + | 0.555351i | \(0.812584\pi\) | |||||||
\(348\) | 72.5778 | + | 6.17736i | 3.89058 | + | 0.331141i | ||||
\(349\) | −24.3348 | + | 25.7934i | −1.30261 | + | 1.38069i | −0.422185 | + | 0.906510i | \(0.638737\pi\) |
−0.880428 | + | 0.474179i | \(0.842745\pi\) | |||||||
\(350\) | 10.8761 | − | 18.8380i | 0.581353 | − | 1.00693i | ||||
\(351\) | −10.4637 | + | 17.2358i | −0.558509 | + | 0.919980i | ||||
\(352\) | −5.04108 | − | 8.73141i | −0.268691 | − | 0.465386i | ||||
\(353\) | 1.92294 | + | 0.455744i | 0.102348 | + | 0.0242568i | 0.281471 | − | 0.959570i | \(-0.409178\pi\) |
−0.179123 | + | 0.983827i | \(0.557326\pi\) | |||||||
\(354\) | 11.0260 | + | 10.9741i | 0.586025 | + | 0.583269i | ||||
\(355\) | −6.54050 | − | 3.28476i | −0.347134 | − | 0.174337i | ||||
\(356\) | −23.3848 | − | 2.73329i | −1.23939 | − | 0.144864i | ||||
\(357\) | 11.9122 | + | 3.91613i | 0.630460 | + | 0.207263i | ||||
\(358\) | −50.8618 | + | 25.5438i | −2.68813 | + | 1.35003i | ||||
\(359\) | −7.57144 | + | 2.75578i | −0.399605 | + | 0.145444i | −0.534002 | − | 0.845483i | \(-0.679313\pi\) |
0.134397 | + | 0.990928i | \(0.457090\pi\) | |||||||
\(360\) | 54.6210 | − | 23.8673i | 2.87878 | − | 1.25792i | ||||
\(361\) | 15.9684 | + | 5.81202i | 0.840442 | + | 0.305896i | ||||
\(362\) | 57.3057 | − | 6.69807i | 3.01192 | − | 0.352043i | ||||
\(363\) | 8.21264 | − | 9.27240i | 0.431052 | − | 0.486675i | ||||
\(364\) | −8.23211 | + | 27.4972i | −0.431480 | + | 1.44124i | ||||
\(365\) | −10.4563 | + | 34.9265i | −0.547308 | + | 1.82814i | ||||
\(366\) | 8.13978 | − | 9.19014i | 0.425473 | − | 0.480376i | ||||
\(367\) | −17.6906 | + | 2.06774i | −0.923444 | + | 0.107935i | −0.564508 | − | 0.825427i | \(-0.690934\pi\) |
−0.358935 | + | 0.933362i | \(0.616860\pi\) | |||||||
\(368\) | −14.7740 | − | 5.37729i | −0.770148 | − | 0.280311i | ||||
\(369\) | 9.80786 | − | 4.28566i | 0.510577 | − | 0.223102i | ||||
\(370\) | −52.0961 | + | 18.9614i | −2.70835 | + | 0.985757i | ||||
\(371\) | 4.01624 | − | 2.01703i | 0.208513 | − | 0.104719i | ||||
\(372\) | 30.6243 | + | 10.0677i | 1.58780 | + | 0.521987i | ||||
\(373\) | −2.33552 | − | 0.272983i | −0.120929 | − | 0.0141345i | 0.0554132 | − | 0.998464i | \(-0.482352\pi\) |
−0.176342 | + | 0.984329i | \(0.556426\pi\) | |||||||
\(374\) | 19.4165 | + | 9.75131i | 1.00400 | + | 0.504228i | ||||
\(375\) | 0.609915 | + | 0.607046i | 0.0314959 | + | 0.0313477i | ||||
\(376\) | −42.0769 | − | 9.97241i | −2.16995 | − | 0.514288i | ||||
\(377\) | −18.3187 | − | 31.7290i | −0.943463 | − | 1.63413i | ||||
\(378\) | −10.5404 | − | 19.2218i | −0.542141 | − | 0.988661i | ||||
\(379\) | −5.81489 | + | 10.0717i | −0.298691 | + | 0.517348i | −0.975837 | − | 0.218501i | \(-0.929883\pi\) |
0.677146 | + | 0.735849i | \(0.263217\pi\) | |||||||
\(380\) | 13.7992 | − | 14.6262i | 0.707882 | − | 0.750311i | ||||
\(381\) | 6.88950 | + | 0.586390i | 0.352960 | + | 0.0300417i | ||||
\(382\) | −2.70127 | − | 46.3789i | −0.138209 | − | 2.37295i | ||||
\(383\) | 17.8796 | − | 24.0164i | 0.913603 | − | 1.22718i | −0.0598301 | − | 0.998209i | \(-0.519056\pi\) |
0.973433 | − | 0.228973i | \(-0.0735367\pi\) | |||||||
\(384\) | −21.3400 | + | 0.671283i | −1.08900 | + | 0.0342563i | ||||
\(385\) | −8.67429 | − | 5.70517i | −0.442083 | − | 0.290762i | ||||
\(386\) | 3.87793 | − | 21.9928i | 0.197381 | − | 1.11941i | ||||
\(387\) | −16.3417 | − | 15.2726i | −0.830694 | − | 0.776349i | ||||
\(388\) | −3.36939 | − | 19.1088i | −0.171055 | − | 0.970100i | ||||
\(389\) | −1.35130 | + | 3.13268i | −0.0685138 | + | 0.158833i | −0.949032 | − | 0.315179i | \(-0.897935\pi\) |
0.880518 | + | 0.474012i | \(0.157195\pi\) | |||||||
\(390\) | −46.3810 | − | 28.4575i | −2.34859 | − | 1.44100i | ||||
\(391\) | 9.62209 | − | 2.28048i | 0.486610 | − | 0.115329i | ||||
\(392\) | 18.1507 | + | 19.2386i | 0.916750 | + | 0.971698i | ||||
\(393\) | −10.5208 | − | 13.2415i | −0.530706 | − | 0.667945i | ||||
\(394\) | 2.82200 | + | 3.79060i | 0.142170 | + | 0.190968i | ||||
\(395\) | −17.0152 | + | 14.2775i | −0.856130 | + | 0.718378i | ||||
\(396\) | −9.08195 | − | 24.5911i | −0.456385 | − | 1.23575i | ||||
\(397\) | −2.18658 | − | 1.83476i | −0.109741 | − | 0.0920838i | 0.586266 | − | 0.810119i | \(-0.300597\pi\) |
−0.696007 | + | 0.718035i | \(0.745042\pi\) | |||||||
\(398\) | −1.97787 | + | 33.9587i | −0.0991416 | + | 1.70219i | ||||
\(399\) | −3.20217 | − | 2.51970i | −0.160309 | − | 0.126143i | ||||
\(400\) | 14.1546 | + | 32.8141i | 0.707731 | + | 1.64071i | ||||
\(401\) | 20.7407 | − | 13.6414i | 1.03574 | − | 0.681218i | 0.0866572 | − | 0.996238i | \(-0.472382\pi\) |
0.949085 | + | 0.315020i | \(0.102011\pi\) | |||||||
\(402\) | 0.726307 | + | 8.08223i | 0.0362249 | + | 0.403105i | ||||
\(403\) | −4.65039 | − | 15.5334i | −0.231653 | − | 0.773773i | ||||
\(404\) | −49.8999 | −2.48261 | ||||||||
\(405\) | 27.8448 | − | 6.87728i | 1.38362 | − | 0.341735i | ||||
\(406\) | 39.8331 | 1.97688 | ||||||||
\(407\) | 3.85282 | + | 12.8693i | 0.190977 | + | 0.637909i | ||||
\(408\) | −38.5005 | + | 27.0938i | −1.90606 | + | 1.34134i | ||||
\(409\) | 12.0052 | − | 7.89594i | 0.593619 | − | 0.390429i | −0.216855 | − | 0.976204i | \(-0.569580\pi\) |
0.810474 | + | 0.585775i | \(0.199210\pi\) | |||||||
\(410\) | 11.4409 | + | 26.5229i | 0.565024 | + | 1.30987i | ||||
\(411\) | 11.9479 | − | 4.77923i | 0.589345 | − | 0.235742i | ||||
\(412\) | 1.04325 | − | 17.9119i | 0.0513972 | − | 0.882455i | ||||
\(413\) | 4.49743 | + | 3.77379i | 0.221304 | + | 0.185696i | ||||
\(414\) | −15.0123 | − | 8.57326i | −0.737816 | − | 0.421353i | ||||
\(415\) | 0.261941 | − | 0.219795i | 0.0128582 | − | 0.0107893i | ||||
\(416\) | −11.9089 | − | 15.9964i | −0.583880 | − | 0.784286i | ||||
\(417\) | 11.2858 | − | 28.6044i | 0.552667 | − | 1.40076i | ||||
\(418\) | −4.84509 | − | 5.13550i | −0.236981 | − | 0.251185i | ||||
\(419\) | 17.9541 | − | 4.25521i | 0.877117 | − | 0.207881i | 0.232694 | − | 0.972550i | \(-0.425246\pi\) |
0.644423 | + | 0.764669i | \(0.277098\pi\) | |||||||
\(420\) | 35.8917 | − | 19.4620i | 1.75134 | − | 0.949648i | ||||
\(421\) | 7.04753 | − | 16.3380i | 0.343476 | − | 0.796266i | −0.655674 | − | 0.755044i | \(-0.727616\pi\) |
0.999150 | − | 0.0412224i | \(-0.0131252\pi\) | |||||||
\(422\) | 10.7507 | + | 60.9701i | 0.523335 | + | 2.96798i | ||||
\(423\) | −19.1439 | − | 8.15105i | −0.930810 | − | 0.396317i | ||||
\(424\) | −2.93005 | + | 16.6171i | −0.142296 | + | 0.807000i | ||||
\(425\) | −18.7793 | − | 12.3514i | −0.910932 | − | 0.599129i | ||||
\(426\) | −5.32560 | − | 8.58873i | −0.258026 | − | 0.416126i | ||||
\(427\) | 2.76673 | − | 3.71636i | 0.133891 | − | 0.179847i | ||||
\(428\) | −4.19564 | − | 72.0364i | −0.202804 | − | 3.48201i | ||||
\(429\) | −7.53742 | + | 10.8187i | −0.363910 | + | 0.522334i | ||||
\(430\) | 41.4239 | − | 43.9068i | 1.99764 | − | 2.11737i | ||||
\(431\) | −5.41651 | + | 9.38166i | −0.260904 | + | 0.451899i | −0.966482 | − | 0.256733i | \(-0.917354\pi\) |
0.705578 | + | 0.708632i | \(0.250687\pi\) | |||||||
\(432\) | 35.6716 | + | 4.96768i | 1.71625 | + | 0.239008i | ||||
\(433\) | 15.0647 | + | 26.0928i | 0.723962 | + | 1.25394i | 0.959400 | + | 0.282049i | \(0.0910141\pi\) |
−0.235438 | + | 0.971889i | \(0.575653\pi\) | |||||||
\(434\) | 17.1537 | + | 4.06549i | 0.823402 | + | 0.195150i | ||||
\(435\) | −13.3697 | + | 50.3710i | −0.641028 | + | 2.41511i | ||||
\(436\) | 51.3110 | + | 25.7693i | 2.45735 | + | 1.23413i | ||||
\(437\) | −3.19157 | − | 0.373041i | −0.152673 | − | 0.0178450i | ||||
\(438\) | −37.5265 | + | 33.5546i | −1.79308 | + | 1.60330i | ||||
\(439\) | 25.0875 | − | 12.5994i | 1.19736 | − | 0.601337i | 0.265485 | − | 0.964115i | \(-0.414468\pi\) |
0.931876 | + | 0.362778i | \(0.118172\pi\) | |||||||
\(440\) | 36.6289 | − | 13.3318i | 1.74621 | − | 0.635570i | ||||
\(441\) | 7.04347 | + | 10.5999i | 0.335403 | + | 0.504756i | ||||
\(442\) | 40.3853 | + | 14.6990i | 1.92093 | + | 0.699162i | ||||
\(443\) | 14.4151 | − | 1.68489i | 0.684884 | − | 0.0800514i | 0.233467 | − | 0.972365i | \(-0.424993\pi\) |
0.451417 | + | 0.892313i | \(0.350919\pi\) | |||||||
\(444\) | −51.7619 | − | 10.5608i | −2.45651 | − | 0.501194i | ||||
\(445\) | 4.83122 | − | 16.1374i | 0.229022 | − | 0.764986i | ||||
\(446\) | 21.0936 | − | 70.4577i | 0.998813 | − | 3.33627i | ||||
\(447\) | 7.70620 | + | 23.0737i | 0.364491 | + | 1.09135i | ||||
\(448\) | −1.32983 | + | 0.155435i | −0.0628285 | + | 0.00734359i | ||||
\(449\) | 7.39003 | + | 2.68975i | 0.348757 | + | 0.126937i | 0.510458 | − | 0.859903i | \(-0.329476\pi\) |
−0.161701 | + | 0.986840i | \(0.551698\pi\) | |||||||
\(450\) | 9.24240 | + | 38.1934i | 0.435691 | + | 1.80045i | ||||
\(451\) | 6.57715 | − | 2.39389i | 0.309706 | − | 0.112724i | ||||
\(452\) | −64.2134 | + | 32.2492i | −3.02035 | + | 1.51687i | ||||
\(453\) | 0.979775 | + | 4.68921i | 0.0460338 | + | 0.220318i | ||||
\(454\) | −14.5462 | − | 1.70021i | −0.682687 | − | 0.0797947i | ||||
\(455\) | −18.3518 | − | 9.21664i | −0.860347 | − | 0.432083i | ||||
\(456\) | 14.7673 | − | 3.99423i | 0.691544 | − | 0.187047i | ||||
\(457\) | 24.7579 | + | 5.86772i | 1.15812 | + | 0.274481i | 0.764396 | − | 0.644747i | \(-0.223037\pi\) |
0.393728 | + | 0.919227i | \(0.371185\pi\) | |||||||
\(458\) | 29.0546 | + | 50.3240i | 1.35763 | + | 2.35149i | ||||
\(459\) | −20.4620 | + | 9.71835i | −0.955084 | + | 0.453614i | ||||
\(460\) | 16.0989 | − | 27.8841i | 0.750615 | − | 1.30010i | ||||
\(461\) | −14.0207 | + | 14.8610i | −0.653007 | + | 0.692147i | −0.966273 | − | 0.257518i | \(-0.917095\pi\) |
0.313266 | + | 0.949665i | \(0.398577\pi\) | |||||||
\(462\) | −6.08909 | − | 12.9781i | −0.283290 | − | 0.603797i | ||||
\(463\) | −1.60704 | − | 27.5918i | −0.0746854 | − | 1.28230i | −0.802553 | − | 0.596581i | \(-0.796525\pi\) |
0.727867 | − | 0.685718i | \(-0.240512\pi\) | |||||||
\(464\) | −39.0792 | + | 52.4925i | −1.81421 | + | 2.43690i | ||||
\(465\) | −10.8985 | + | 20.3271i | −0.505407 | + | 0.942649i | ||||
\(466\) | −43.3806 | − | 28.5319i | −2.00957 | − | 1.32171i | ||||
\(467\) | −1.59148 | + | 9.02572i | −0.0736448 | + | 0.417661i | 0.925589 | + | 0.378529i | \(0.123570\pi\) |
−0.999234 | + | 0.0391312i | \(0.987541\pi\) | |||||||
\(468\) | −23.4895 | − | 46.2268i | −1.08580 | − | 2.13683i | ||||
\(469\) | 0.531798 | + | 3.01598i | 0.0245562 | + | 0.139265i | ||||
\(470\) | 22.2407 | − | 51.5598i | 1.02589 | − | 2.37828i | ||||
\(471\) | −0.231350 | + | 8.65257i | −0.0106601 | + | 0.398689i | ||||
\(472\) | −21.4480 | + | 5.08328i | −0.987225 | + | 0.233977i | ||||
\(473\) | −10.0375 | − | 10.6392i | −0.461526 | − | 0.489189i | ||||
\(474\) | −30.3350 | + | 4.51650i | −1.39333 | + | 0.207450i | ||||
\(475\) | 4.36158 | + | 5.85862i | 0.200123 | + | 0.268812i | ||||
\(476\) | −24.7022 | + | 20.7276i | −1.13222 | + | 0.950049i | ||||
\(477\) | −2.74086 | + | 7.64237i | −0.125495 | + | 0.349920i | ||||
\(478\) | −22.5977 | − | 18.9618i | −1.03360 | − | 0.867291i | ||||
\(479\) | 0.392802 | − | 6.74416i | 0.0179476 | − | 0.308148i | −0.977373 | − | 0.211522i | \(-0.932158\pi\) |
0.995321 | − | 0.0966260i | \(-0.0308051\pi\) | |||||||
\(480\) | −4.04515 | + | 28.0774i | −0.184635 | + | 1.28155i | ||||
\(481\) | 10.5246 | + | 24.3987i | 0.479879 | + | 1.11248i | ||||
\(482\) | −28.1635 | + | 18.5234i | −1.28281 | + | 0.843720i | ||||
\(483\) | −5.91960 | − | 2.74339i | −0.269351 | − | 0.124828i | ||||
\(484\) | 9.13561 | + | 30.5151i | 0.415255 | + | 1.38705i | ||||
\(485\) | 13.8827 | 0.630381 | ||||||||
\(486\) | 37.7366 | + | 12.0128i | 1.71177 | + | 0.544912i | ||||
\(487\) | −19.6769 | −0.891646 | −0.445823 | − | 0.895121i | \(-0.647089\pi\) | ||||
−0.445823 | + | 0.895121i | \(0.647089\pi\) | |||||||
\(488\) | 4.98890 | + | 16.6641i | 0.225837 | + | 0.754348i | ||||
\(489\) | 19.9811 | + | 9.26005i | 0.903576 | + | 0.418754i | ||||
\(490\) | −28.6954 | + | 18.8733i | −1.29633 | + | 0.852608i | ||||
\(491\) | 13.1551 | + | 30.4970i | 0.593683 | + | 1.37631i | 0.904758 | + | 0.425926i | \(0.140052\pi\) |
−0.311075 | + | 0.950385i | \(0.600689\pi\) | |||||||
\(492\) | −3.92500 | + | 27.2435i | −0.176953 | + | 1.22823i | ||||
\(493\) | 2.39327 | − | 41.0908i | 0.107787 | − | 1.85064i | ||||
\(494\) | −10.6981 | − | 8.97675i | −0.481329 | − | 0.403883i | ||||
\(495\) | 18.4553 | − | 3.34396i | 0.829504 | − | 0.150300i | ||||
\(496\) | −22.1865 | + | 18.6167i | −0.996205 | + | 0.835915i | ||||
\(497\) | −2.27752 | − | 3.05924i | −0.102161 | − | 0.137226i | ||||
\(498\) | 0.466993 | − | 0.0695294i | 0.0209265 | − | 0.00311569i | ||||
\(499\) | −22.0685 | − | 23.3912i | −0.987921 | − | 1.04713i | −0.998886 | − | 0.0471947i | \(-0.984972\pi\) |
0.0109652 | − | 0.999940i | \(-0.496510\pi\) | |||||||
\(500\) | −2.15328 | + | 0.510338i | −0.0962978 | + | 0.0228230i | ||||
\(501\) | 0.937277 | − | 35.0544i | 0.0418744 | − | 1.56612i | ||||
\(502\) | −7.34174 | + | 17.0201i | −0.327678 | + | 0.759643i | ||||
\(503\) | −2.99418 | − | 16.9809i | −0.133504 | − | 0.757139i | −0.975890 | − | 0.218264i | \(-0.929961\pi\) |
0.842386 | − | 0.538875i | \(-0.181150\pi\) | |||||||
\(504\) | 31.0173 | + | 1.65985i | 1.38162 | + | 0.0739356i | ||||
\(505\) | 6.19959 | − | 35.1596i | 0.275878 | − | 1.56458i | ||||
\(506\) | −9.44530 | − | 6.21227i | −0.419895 | − | 0.276169i | ||||
\(507\) | −1.68421 | + | 3.14128i | −0.0747986 | + | 0.139509i | ||||
\(508\) | −10.6182 | + | 14.2627i | −0.471106 | + | 0.632805i | ||||
\(509\) | 1.87052 | + | 32.1155i | 0.0829092 | + | 1.42350i | 0.741479 | + | 0.670976i | \(0.234125\pi\) |
−0.658570 | + | 0.752520i | \(0.728838\pi\) | |||||||
\(510\) | −25.9665 | − | 55.3443i | −1.14981 | − | 2.45068i | ||||
\(511\) | −13.0374 | + | 13.8189i | −0.576742 | + | 0.611311i | ||||
\(512\) | 25.4044 | − | 44.0017i | 1.12273 | − | 1.94462i | ||||
\(513\) | 7.32819 | − | 0.693390i | 0.323547 | − | 0.0306139i | ||||
\(514\) | 17.3869 | + | 30.1150i | 0.766902 | + | 1.32831i | ||||
\(515\) | 12.4912 | + | 2.96046i | 0.550426 | + | 0.130453i | ||||
\(516\) | 55.5252 | − | 15.0183i | 2.44436 | − | 0.661144i | ||||
\(517\) | −12.1591 | − | 6.10653i | −0.534757 | − | 0.268565i | ||||
\(518\) | −28.6941 | − | 3.35386i | −1.26075 | − | 0.147360i | ||||
\(519\) | −2.40697 | − | 11.5198i | −0.105654 | − | 0.505663i | ||||
\(520\) | 68.9006 | − | 34.6032i | 3.02149 | − | 1.51745i | ||||
\(521\) | 23.1431 | − | 8.42341i | 1.01392 | − | 0.369036i | 0.218982 | − | 0.975729i | \(-0.429726\pi\) |
0.794936 | + | 0.606693i | \(0.207504\pi\) | |||||||
\(522\) | −52.1077 | + | 49.6275i | −2.28069 | + | 2.17214i | ||||
\(523\) | −5.49055 | − | 1.99840i | −0.240085 | − | 0.0873838i | 0.219175 | − | 0.975685i | \(-0.429663\pi\) |
−0.459260 | + | 0.888302i | \(0.651886\pi\) | |||||||
\(524\) | 43.1977 | − | 5.04909i | 1.88710 | − | 0.220571i | ||||
\(525\) | 4.69791 | + | 14.0663i | 0.205034 | + | 0.613906i | ||||
\(526\) | 0.128201 | − | 0.428220i | 0.00558981 | − | 0.0186713i | ||||
\(527\) | 5.22449 | − | 17.4510i | 0.227582 | − | 0.760178i | ||||
\(528\) | 23.0766 | + | 4.70823i | 1.00428 | + | 0.204899i | ||||
\(529\) | 17.7341 | − | 2.07282i | 0.771047 | − | 0.0901225i | ||||
\(530\) | −20.5895 | − | 7.49397i | −0.894352 | − | 0.325517i | ||||
\(531\) | −10.5850 | + | 0.666599i | −0.459352 | + | 0.0289280i | ||||
\(532\) | 9.84650 | − | 3.58383i | 0.426900 | − | 0.155379i | ||||
\(533\) | 12.3719 | − | 6.21342i | 0.535888 | − | 0.269133i | ||||
\(534\) | 17.3387 | − | 15.5035i | 0.750318 | − | 0.670903i | ||||
\(535\) | 51.2783 | + | 5.99358i | 2.21696 | + | 0.259125i | ||||
\(536\) | −10.2749 | − | 5.16027i | −0.443810 | − | 0.222890i | ||||
\(537\) | 9.95476 | − | 37.5051i | 0.429579 | − | 1.61846i | ||||
\(538\) | −19.9043 | − | 4.71741i | −0.858137 | − | 0.203382i | ||||
\(539\) | 4.16120 | + | 7.20740i | 0.179235 | + | 0.310445i | ||||
\(540\) | −22.7044 | + | 70.1763i | −0.977040 | + | 3.01991i | ||||
\(541\) | 4.25140 | − | 7.36363i | 0.182782 | − | 0.316587i | −0.760045 | − | 0.649870i | \(-0.774823\pi\) |
0.942827 | + | 0.333283i | \(0.108156\pi\) | |||||||
\(542\) | −33.3841 | + | 35.3851i | −1.43397 | + | 1.51992i | ||||
\(543\) | −22.4859 | + | 32.2749i | −0.964962 | + | 1.38505i | ||||
\(544\) | −1.30270 | − | 22.3666i | −0.0558530 | − | 0.958959i | ||||
\(545\) | −24.5321 | + | 32.9523i | −1.05084 | + | 1.41152i | ||||
\(546\) | −14.9430 | − | 24.0989i | −0.639501 | − | 1.03134i | ||||
\(547\) | 37.5637 | + | 24.7060i | 1.60611 | + | 1.05635i | 0.954677 | + | 0.297644i | \(0.0962010\pi\) |
0.651430 | + | 0.758709i | \(0.274169\pi\) | |||||||
\(548\) | −5.74641 | + | 32.5895i | −0.245474 | + | 1.39215i | ||||
\(549\) | 1.01087 | + | 8.30860i | 0.0431428 | + | 0.354602i | ||||
\(550\) | 4.46221 | + | 25.3064i | 0.190269 | + | 1.07907i | ||||
\(551\) | −5.29757 | + | 12.2812i | −0.225684 | + | 0.523195i | ||||
\(552\) | 21.5334 | − | 11.6763i | 0.916524 | − | 0.496978i | ||||
\(553\) | −11.2626 | + | 2.66928i | −0.478933 | + | 0.113509i | ||||
\(554\) | −37.1124 | − | 39.3369i | −1.57676 | − | 1.67126i | ||||
\(555\) | 13.8721 | − | 35.1595i | 0.588838 | − | 1.49244i | ||||
\(556\) | 47.2220 | + | 63.4301i | 2.00266 | + | 2.69004i | ||||
\(557\) | 18.7402 | − | 15.7249i | 0.794047 | − | 0.666285i | −0.152696 | − | 0.988273i | \(-0.548796\pi\) |
0.946744 | + | 0.321988i | \(0.104351\pi\) | |||||||
\(558\) | −27.5047 | + | 16.0532i | −1.16437 | + | 0.679588i | ||||
\(559\) | −22.1631 | − | 18.5970i | −0.937399 | − | 0.786571i | ||||
\(560\) | −2.13286 | + | 36.6197i | −0.0901296 | + | 1.54747i | ||||
\(561\) | −13.7538 | + | 5.50160i | −0.580684 | + | 0.232278i | ||||
\(562\) | 10.0696 | + | 23.3440i | 0.424762 | + | 0.984709i | ||||
\(563\) | 5.07134 | − | 3.33548i | 0.213732 | − | 0.140574i | −0.438129 | − | 0.898912i | \(-0.644359\pi\) |
0.651861 | + | 0.758338i | \(0.273988\pi\) | |||||||
\(564\) | 43.7583 | − | 30.7939i | 1.84256 | − | 1.29666i | ||||
\(565\) | −14.7450 | − | 49.2516i | −0.620326 | − | 2.07203i | ||||
\(566\) | 70.1107 | 2.94697 | ||||||||
\(567\) | 14.5749 | + | 3.30947i | 0.612088 | + | 0.138985i | ||||
\(568\) | 14.3191 | 0.600817 | ||||||||
\(569\) | 3.04863 | + | 10.1831i | 0.127805 | + | 0.426899i | 0.997810 | − | 0.0661438i | \(-0.0210696\pi\) |
−0.870005 | + | 0.493043i | \(0.835884\pi\) | |||||||
\(570\) | 1.77800 | + | 19.7853i | 0.0744723 | + | 0.828716i | ||||
\(571\) | −22.9645 | + | 15.1040i | −0.961035 | + | 0.632083i | −0.930048 | − | 0.367437i | \(-0.880235\pi\) |
−0.0309870 | + | 0.999520i | \(0.509865\pi\) | |||||||
\(572\) | −13.4303 | − | 31.1349i | −0.561548 | − | 1.30182i | ||||
\(573\) | 24.8915 | + | 19.5864i | 1.03986 | + | 0.818235i | ||||
\(574\) | −0.875201 | + | 15.0266i | −0.0365302 | + | 0.627199i | ||||
\(575\) | 8.95899 | + | 7.51748i | 0.373616 | + | 0.313501i | ||||
\(576\) | 1.54596 | − | 1.86015i | 0.0644151 | − | 0.0775061i | ||||
\(577\) | −4.54811 | + | 3.81632i | −0.189340 | + | 0.158875i | −0.732530 | − | 0.680734i | \(-0.761661\pi\) |
0.543190 | + | 0.839610i | \(0.317216\pi\) | |||||||
\(578\) | 3.04202 | + | 4.08614i | 0.126531 | + | 0.169961i | ||||
\(579\) | 9.47150 | + | 11.9208i | 0.393622 | + | 0.495411i | ||||
\(580\) | −91.9701 | − | 97.4826i | −3.81885 | − | 4.04775i | ||||
\(581\) | 0.173382 | − | 0.0410923i | 0.00719309 | − | 0.00170479i | ||||
\(582\) | 16.3386 | + | 10.0247i | 0.677256 | + | 0.415537i | ||||
\(583\) | −2.10290 | + | 4.87507i | −0.0870933 | + | 0.201905i | ||||
\(584\) | −12.3859 | − | 70.2442i | −0.512534 | − | 2.90672i | ||||
\(585\) | 35.4899 | − | 10.8076i | 1.46733 | − | 0.446837i | ||||
\(586\) | −3.23422 | + | 18.3422i | −0.133604 | + | 0.757708i | ||||
\(587\) | −9.27986 | − | 6.10346i | −0.383021 | − | 0.251917i | 0.343368 | − | 0.939201i | \(-0.388432\pi\) |
−0.726388 | + | 0.687284i | \(0.758803\pi\) | |||||||
\(588\) | −32.7119 | + | 1.02901i | −1.34901 | + | 0.0424355i | ||||
\(589\) | −3.53479 | + | 4.74805i | −0.145649 | + | 0.195640i | ||||
\(590\) | −1.66426 | − | 28.5742i | −0.0685165 | − | 1.17638i | ||||
\(591\) | −3.21026 | − | 0.273237i | −0.132052 | − | 0.0112395i | ||||
\(592\) | 32.5708 | − | 34.5230i | 1.33865 | − | 1.41889i | ||||
\(593\) | 1.02536 | − | 1.77597i | 0.0421064 | − | 0.0729304i | −0.844204 | − | 0.536022i | \(-0.819926\pi\) |
0.886311 | + | 0.463091i | \(0.153260\pi\) | |||||||
\(594\) | 24.1347 | + | 9.39104i | 0.990261 | + | 0.385319i | ||||
\(595\) | −11.5357 | − | 19.9805i | −0.472919 | − | 0.819119i | ||||
\(596\) | −60.8722 | − | 14.4270i | −2.49342 | − | 0.590952i | ||||
\(597\) | −16.4374 | − | 16.3601i | −0.672738 | − | 0.669574i | ||||
\(598\) | −19.9830 | − | 10.0358i | −0.817166 | − | 0.410396i | ||||
\(599\) | 2.78543 | + | 0.325570i | 0.113809 | + | 0.0133024i | 0.172807 | − | 0.984956i | \(-0.444716\pi\) |
−0.0589975 | + | 0.998258i | \(0.518790\pi\) | |||||||
\(600\) | −52.8937 | − | 17.3888i | −2.15938 | − | 0.709894i | ||||
\(601\) | −32.2067 | + | 16.1748i | −1.31374 | + | 0.659784i | −0.961158 | − | 0.275998i | \(-0.910992\pi\) |
−0.352580 | + | 0.935782i | \(0.614696\pi\) | |||||||
\(602\) | 29.5584 | − | 10.7584i | 1.20471 | − | 0.438478i | ||||
\(603\) | −4.45324 | − | 3.28280i | −0.181350 | − | 0.133686i | ||||
\(604\) | −11.5763 | − | 4.21343i | −0.471033 | − | 0.171442i | ||||
\(605\) | −22.6360 | + | 2.64577i | −0.920285 | + | 0.107566i | ||||
\(606\) | 32.6851 | − | 36.9027i | 1.32774 | − | 1.49907i | ||||
\(607\) | −11.0460 | + | 36.8962i | −0.448343 | + | 1.49757i | 0.373379 | + | 0.927679i | \(0.378199\pi\) |
−0.821721 | + | 0.569890i | \(0.806986\pi\) | |||||||
\(608\) | −2.08801 | + | 6.97444i | −0.0846800 | + | 0.282851i | ||||
\(609\) | −18.0061 | + | 20.3296i | −0.729644 | + | 0.823797i | ||||
\(610\) | −22.4352 | + | 2.62230i | −0.908374 | + | 0.106174i | ||||
\(611\) | −25.2903 | − | 9.20493i | −1.02314 | − | 0.372392i | ||||
\(612\) | 6.48996 | − | 57.8910i | 0.262341 | − | 2.34011i | ||||
\(613\) | −1.37170 | + | 0.499257i | −0.0554024 | + | 0.0201648i | −0.369573 | − | 0.929202i | \(-0.620496\pi\) |
0.314170 | + | 0.949367i | \(0.398274\pi\) | |||||||
\(614\) | 13.2320 | − | 6.64536i | 0.534000 | − | 0.268185i | ||||
\(615\) | −18.7082 | − | 6.15031i | −0.754387 | − | 0.248005i | ||||
\(616\) | 20.1749 | + | 2.35811i | 0.812871 | + | 0.0950110i | ||||
\(617\) | 10.7458 | + | 5.39674i | 0.432609 | + | 0.217264i | 0.651758 | − | 0.758427i | \(-0.274032\pi\) |
−0.219149 | + | 0.975691i | \(0.570328\pi\) | |||||||
\(618\) | 12.5631 | + | 12.5040i | 0.505363 | + | 0.502986i | ||||
\(619\) | 30.5241 | + | 7.23434i | 1.22687 | + | 0.290773i | 0.792449 | − | 0.609938i | \(-0.208806\pi\) |
0.434418 | + | 0.900711i | \(0.356954\pi\) | |||||||
\(620\) | −29.6565 | − | 51.3665i | −1.19103 | − | 2.06293i | ||||
\(621\) | 11.1617 | − | 3.78640i | 0.447903 | − | 0.151943i | ||||
\(622\) | −11.5862 | + | 20.0680i | −0.464566 | + | 0.804652i | ||||
\(623\) | 6.02380 | − | 6.38485i | 0.241338 | − | 0.255804i | ||||
\(624\) | 46.4180 | + | 3.95080i | 1.85821 | + | 0.158159i | ||||
\(625\) | 1.40688 | + | 24.1553i | 0.0562754 | + | 0.966211i | ||||
\(626\) | 9.69887 | − | 13.0278i | 0.387645 | − | 0.520697i | ||||
\(627\) | 4.81117 | − | 0.151343i | 0.192140 | − | 0.00604407i | ||||
\(628\) | −18.5971 | − | 12.2315i | −0.742106 | − | 0.488091i | ||||
\(629\) | −5.18377 | + | 29.3986i | −0.206691 | + | 1.17220i | ||||
\(630\) | −9.11670 | + | 39.2910i | −0.363218 | + | 1.56539i | ||||
\(631\) | −3.02986 | − | 17.1832i | −0.120617 | − | 0.684053i | −0.983815 | − | 0.179187i | \(-0.942653\pi\) |
0.863198 | − | 0.504865i | \(-0.168458\pi\) | |||||||
\(632\) | 17.2120 | − | 39.9019i | 0.684656 | − | 1.58721i | ||||
\(633\) | −35.9770 | − | 22.0740i | −1.42996 | − | 0.877365i | ||||
\(634\) | 61.0791 | − | 14.4760i | 2.42576 | − | 0.574916i | ||||
\(635\) | −8.73033 | − | 9.25361i | −0.346453 | − | 0.367218i | ||||
\(636\) | −12.9884 | − | 16.3472i | −0.515024 | − | 0.648208i | ||||
\(637\) | 9.83025 | + | 13.2043i | 0.389489 | + | 0.523174i | ||||
\(638\) | −36.0473 | + | 30.2473i | −1.42713 | + | 1.19750i | ||||
\(639\) | 6.79081 | + | 1.16442i | 0.268640 | + | 0.0460636i | ||||
\(640\) | 30.0927 | + | 25.2508i | 1.18952 | + | 0.998124i | ||||
\(641\) | 0.536572 | − | 9.21258i | 0.0211933 | − | 0.363875i | −0.970993 | − | 0.239109i | \(-0.923145\pi\) |
0.992186 | − | 0.124767i | \(-0.0398182\pi\) | |||||||
\(642\) | 56.0216 | + | 44.0819i | 2.21100 | + | 1.73977i | ||||
\(643\) | 2.89188 | + | 6.70414i | 0.114045 | + | 0.264385i | 0.965673 | − | 0.259761i | \(-0.0836438\pi\) |
−0.851628 | + | 0.524146i | \(0.824384\pi\) | |||||||
\(644\) | 14.0180 | − | 9.21980i | 0.552387 | − | 0.363311i | ||||
\(645\) | 3.68347 | + | 40.9891i | 0.145036 | + | 1.61394i | ||||
\(646\) | −4.49977 | − | 15.0303i | −0.177041 | − | 0.591358i | ||||
\(647\) | −34.3969 | −1.35228 | −0.676142 | − | 0.736772i | \(-0.736349\pi\) | ||||
−0.676142 | + | 0.736772i | \(0.736349\pi\) | |||||||
\(648\) | −42.6433 | + | 36.4727i | −1.67519 | + | 1.43278i | ||||
\(649\) | −6.93563 | −0.272247 | ||||||||
\(650\) | 14.5777 | + | 48.6930i | 0.571786 | + | 1.90990i | ||||
\(651\) | −9.82902 | + | 6.91694i | −0.385230 | + | 0.271096i | ||||
\(652\) | −47.3166 | + | 31.1206i | −1.85306 | + | 1.21878i | ||||
\(653\) | −5.64380 | − | 13.0838i | −0.220859 | − | 0.512009i | 0.771377 | − | 0.636378i | \(-0.219568\pi\) |
−0.992236 | + | 0.124370i | \(0.960309\pi\) | |||||||
\(654\) | −52.6666 | + | 21.0670i | −2.05943 | + | 0.823785i | ||||
\(655\) | −1.80930 | + | 31.0646i | −0.0706954 | + | 1.21379i | ||||
\(656\) | −18.9436 | − | 15.8956i | −0.739623 | − | 0.620617i | ||||
\(657\) | −0.161818 | − | 34.3203i | −0.00631312 | − | 1.33896i | ||||
\(658\) | 22.4151 | − | 18.8085i | 0.873832 | − | 0.733232i | ||||
\(659\) | −26.3304 | − | 35.3679i | −1.02569 | − | 1.37774i | −0.923771 | − | 0.382945i | \(-0.874910\pi\) |
−0.101917 | − | 0.994793i | \(-0.532497\pi\) | |||||||
\(660\) | −17.7021 | + | 44.8667i | −0.689052 | + | 1.74644i | ||||
\(661\) | 1.80672 | + | 1.91501i | 0.0702732 | + | 0.0744853i | 0.761556 | − | 0.648099i | \(-0.224436\pi\) |
−0.691283 | + | 0.722584i | \(0.742954\pi\) | |||||||
\(662\) | −17.4740 | + | 4.14141i | −0.679146 | + | 0.160961i | ||||
\(663\) | −25.7577 | + | 13.9669i | −1.00034 | + | 0.542429i | ||||
\(664\) | −0.264970 | + | 0.614270i | −0.0102828 | + | 0.0238383i | ||||
\(665\) | 1.30184 | + | 7.38313i | 0.0504834 | + | 0.286305i | ||||
\(666\) | 41.7148 | − | 31.3623i | 1.61642 | − | 1.21526i | ||||
\(667\) | −3.71891 | + | 21.0910i | −0.143997 | + | 0.816645i | ||||
\(668\) | 75.3432 | + | 49.5540i | 2.91512 | + | 1.91730i | ||||
\(669\) | 26.4243 | + | 42.6152i | 1.02162 | + | 1.64760i | ||||
\(670\) | 8.91591 | − | 11.9762i | 0.344452 | − | 0.462679i | ||||
\(671\) | 0.318246 | + | 5.46408i | 0.0122858 | + | 0.210938i | ||||
\(672\) | −8.45015 | + | 12.1288i | −0.325972 | + | 0.467880i | ||||
\(673\) | 2.34496 | − | 2.48551i | 0.0903914 | − | 0.0958093i | −0.680599 | − | 0.732656i | \(-0.738280\pi\) |
0.770990 | + | 0.636847i | \(0.219762\pi\) | |||||||
\(674\) | −0.622324 | + | 1.07790i | −0.0239710 | + | 0.0415190i | ||||
\(675\) | −23.6707 | − | 12.5478i | −0.911084 | − | 0.482967i | ||||
\(676\) | −4.58299 | − | 7.93797i | −0.176269 | − | 0.305307i | ||||
\(677\) | −37.8386 | − | 8.96791i | −1.45426 | − | 0.344665i | −0.573879 | − | 0.818940i | \(-0.694562\pi\) |
−0.880377 | + | 0.474275i | \(0.842710\pi\) | |||||||
\(678\) | 18.2112 | − | 68.6117i | 0.699397 | − | 2.63502i | ||||
\(679\) | 6.46478 | + | 3.24673i | 0.248095 | + | 0.124598i | ||||
\(680\) | 86.0344 | + | 10.0560i | 3.29927 | + | 0.385629i | ||||
\(681\) | 7.44318 | − | 6.65538i | 0.285223 | − | 0.255035i | ||||
\(682\) | −18.6105 | + | 9.34655i | −0.712633 | + | 0.357898i | ||||
\(683\) | 21.7804 | − | 7.92743i | 0.833405 | − | 0.303335i | 0.110149 | − | 0.993915i | \(-0.464867\pi\) |
0.723256 | + | 0.690581i | \(0.242645\pi\) | |||||||
\(684\) | −8.41566 | + | 16.9558i | −0.321781 | + | 0.648322i | ||||
\(685\) | −22.2487 | − | 8.09787i | −0.850080 | − | 0.309404i | ||||
\(686\) | −47.1092 | + | 5.50627i | −1.79864 | + | 0.210230i | ||||
\(687\) | −38.8176 | − | 7.91983i | −1.48099 | − | 0.302160i | ||||
\(688\) | −14.8214 | + | 49.5071i | −0.565062 | + | 1.88744i | ||||
\(689\) | −3.01194 | + | 10.0606i | −0.114746 | + | 0.383278i | ||||
\(690\) | 10.0763 | + | 30.1701i | 0.383598 | + | 1.14856i | ||||
\(691\) | −17.2755 | + | 2.01922i | −0.657191 | + | 0.0768147i | −0.438151 | − | 0.898901i | \(-0.644367\pi\) |
−0.219040 | + | 0.975716i | \(0.570293\pi\) | |||||||
\(692\) | 28.4390 | + | 10.3510i | 1.08109 | + | 0.393484i | ||||
\(693\) | 9.37615 | + | 2.75893i | 0.356170 | + | 0.104803i | ||||
\(694\) | 45.0091 | − | 16.3820i | 1.70852 | − | 0.621851i | ||||
\(695\) | −50.5599 | + | 25.3922i | −1.91785 | + | 0.963180i | ||||
\(696\) | −20.8534 | − | 99.8044i | −0.790445 | − | 3.78308i | ||||
\(697\) | 15.4485 | + | 1.80567i | 0.585154 | + | 0.0683947i | ||||
\(698\) | 80.5063 | + | 40.4318i | 3.04721 | + | 1.53037i | ||||
\(699\) | 34.1715 | − | 9.24262i | 1.29249 | − | 0.349588i | ||||
\(700\) | −37.1093 | − | 8.79507i | −1.40260 | − | 0.332423i | ||||
\(701\) | −9.46247 | − | 16.3895i | −0.357393 | − | 0.619022i | 0.630132 | − | 0.776488i | \(-0.283001\pi\) |
−0.987524 | + | 0.157466i | \(0.949668\pi\) | |||||||
\(702\) | 49.5722 | + | 12.9078i | 1.87098 | + | 0.487173i | ||||
\(703\) | 4.85020 | − | 8.40080i | 0.182929 | − | 0.316842i | ||||
\(704\) | 1.08541 | − | 1.15047i | 0.0409080 | − | 0.0433599i | ||||
\(705\) | 16.2609 | + | 34.6580i | 0.612421 | + | 1.30530i | ||||
\(706\) | −0.291920 | − | 5.01207i | −0.0109865 | − | 0.188632i | ||||
\(707\) | 11.1097 | − | 14.9229i | 0.417824 | − | 0.561235i | ||||
\(708\) | 12.8879 | − | 24.0376i | 0.484356 | − | 0.903387i | ||||
\(709\) | −35.7258 | − | 23.4973i | −1.34171 | − | 0.882458i | −0.343324 | − | 0.939217i | \(-0.611553\pi\) |
−0.998388 | + | 0.0567593i | \(0.981923\pi\) | |||||||
\(710\) | −3.22881 | + | 18.3115i | −0.121175 | + | 0.687217i | ||||
\(711\) | 11.4075 | − | 17.5237i | 0.427816 | − | 0.657191i | ||||
\(712\) | 5.72278 | + | 32.4555i | 0.214470 | + | 1.21632i | ||||
\(713\) | −3.75411 | + | 8.70301i | −0.140593 | + | 0.325930i | ||||
\(714\) | 0.851463 | − | 31.8450i | 0.0318652 | − | 1.19177i | ||||
\(715\) | 23.6063 | − | 5.59480i | 0.882827 | − | 0.209234i | ||||
\(716\) | 68.4788 | + | 72.5833i | 2.55917 | + | 2.71256i | ||||
\(717\) | 19.8926 | − | 2.96175i | 0.742901 | − | 0.110609i | ||||
\(718\) | 12.2237 | + | 16.4193i | 0.456184 | + | 0.612761i | ||||
\(719\) | −9.96902 | + | 8.36500i | −0.371782 | + | 0.311962i | −0.809466 | − | 0.587167i | \(-0.800243\pi\) |
0.437684 | + | 0.899129i | \(0.355799\pi\) | |||||||
\(720\) | −42.8339 | − | 50.5614i | −1.59633 | − | 1.88431i | ||||
\(721\) | 5.12441 | + | 4.29989i | 0.190843 | + | 0.160136i | ||||
\(722\) | 2.51019 | − | 43.0983i | 0.0934196 | − | 1.60395i | ||||
\(723\) | 3.27721 | − | 22.7471i | 0.121881 | − | 0.845975i | ||||
\(724\) | −40.0657 | − | 92.8828i | −1.48903 | − | 3.45196i | ||||
\(725\) | 40.6714 | − | 26.7500i | 1.51050 | − | 0.993469i | ||||
\(726\) | −28.5509 | − | 13.2316i | −1.05962 | − | 0.491072i | ||||
\(727\) | 14.4711 | + | 48.3368i | 0.536703 | + | 1.79271i | 0.606418 | + | 0.795146i | \(0.292606\pi\) |
−0.0697145 | + | 0.997567i | \(0.522209\pi\) | |||||||
\(728\) | 40.1777 | 1.48908 | ||||||||
\(729\) | −23.1894 | + | 13.8294i | −0.858867 | + | 0.512199i | ||||
\(730\) | 92.6220 | 3.42810 | ||||||||
\(731\) | −9.32212 | − | 31.1381i | −0.344791 | − | 1.15168i | ||||
\(732\) | −19.5288 | − | 9.05044i | −0.721805 | − | 0.334514i | ||||
\(733\) | 13.3577 | − | 8.78550i | 0.493378 | − | 0.324500i | −0.278321 | − | 0.960488i | \(-0.589778\pi\) |
0.771699 | + | 0.635988i | \(0.219407\pi\) | |||||||
\(734\) | 17.9223 | + | 41.5485i | 0.661523 | + | 1.53358i | ||||
\(735\) | 3.33910 | − | 23.1767i | 0.123165 | − | 0.854886i | ||||
\(736\) | −0.677814 | + | 11.6376i | −0.0249846 | + | 0.428968i | ||||
\(737\) | −2.77144 | − | 2.32552i | −0.102087 | − | 0.0856615i | ||||
\(738\) | −17.5766 | − | 20.7475i | −0.647003 | − | 0.763726i | ||||
\(739\) | −5.46648 | + | 4.58692i | −0.201088 | + | 0.168733i | −0.737771 | − | 0.675051i | \(-0.764122\pi\) |
0.536683 | + | 0.843784i | \(0.319677\pi\) | |||||||
\(740\) | 58.0437 | + | 77.9662i | 2.13373 | + | 2.86609i | ||||
\(741\) | 9.41740 | − | 1.40213i | 0.345957 | − | 0.0515086i | ||||
\(742\) | −7.83534 | − | 8.30498i | −0.287645 | − | 0.304885i | ||||
\(743\) | 32.9969 | − | 7.82040i | 1.21054 | − | 0.286903i | 0.424699 | − | 0.905335i | \(-0.360380\pi\) |
0.785838 | + | 0.618432i | \(0.212232\pi\) | |||||||
\(744\) | 1.20608 | − | 45.1079i | 0.0442172 | − | 1.65374i | ||||
\(745\) | 17.7281 | − | 41.0983i | 0.649506 | − | 1.50573i | ||||
\(746\) | 1.03734 | + | 5.88304i | 0.0379797 | + | 0.215393i | ||||
\(747\) | −0.175613 | + | 0.269769i | −0.00642536 | + | 0.00987034i | ||||
\(748\) | 6.61496 | − | 37.5153i | 0.241867 | − | 1.37170i | ||||
\(749\) | 22.4771 | + | 14.7834i | 0.821297 | + | 0.540175i | ||||
\(750\) | 1.03301 | − | 1.92671i | 0.0377204 | − | 0.0703533i | ||||
\(751\) | −25.0409 | + | 33.6357i | −0.913754 | + | 1.22738i | 0.0596339 | + | 0.998220i | \(0.481007\pi\) |
−0.973388 | + | 0.229164i | \(0.926401\pi\) | |||||||
\(752\) | 2.79518 | + | 47.9914i | 0.101930 | + | 1.75007i | ||||
\(753\) | −5.36777 | − | 11.4407i | −0.195613 | − | 0.416923i | ||||
\(754\) | −63.8738 | + | 67.7023i | −2.32615 | + | 2.46557i | ||||
\(755\) | 4.40704 | − | 7.63321i | 0.160389 | − | 0.277801i | ||||
\(756\) | −26.9848 | + | 27.3692i | −0.981428 | + | 0.995410i | ||||
\(757\) | −13.0903 | − | 22.6730i | −0.475774 | − | 0.824065i | 0.523841 | − | 0.851816i | \(-0.324499\pi\) |
−0.999615 | + | 0.0277513i | \(0.991165\pi\) | |||||||
\(758\) | 28.7491 | + | 6.81367i | 1.04421 | + | 0.247483i | ||||
\(759\) | 7.44020 | − | 2.01241i | 0.270062 | − | 0.0730457i | ||||
\(760\) | −25.1531 | − | 12.6324i | −0.912399 | − | 0.458224i | ||||
\(761\) | −46.5581 | − | 5.44186i | −1.68773 | − | 0.197267i | −0.782636 | − | 0.622479i | \(-0.786126\pi\) |
−0.905094 | + | 0.425212i | \(0.860200\pi\) | |||||||
\(762\) | −3.59272 | − | 17.1948i | −0.130150 | − | 0.622900i | ||||
\(763\) | −19.1304 | + | 9.60764i | −0.692567 | + | 0.347820i | ||||
\(764\) | −76.5400 | + | 27.8583i | −2.76912 | + | 1.00788i | ||||
\(765\) | 39.9839 | + | 11.7653i | 1.44562 | + | 0.425374i | ||||
\(766\) | −71.4781 | − | 26.0159i | −2.58261 | − | 0.939992i | ||||
\(767\) | −13.6259 | + | 1.59264i | −0.492003 | + | 0.0575070i | ||||
\(768\) | 16.2978 | + | 48.7985i | 0.588098 | + | 1.76087i | ||||
\(769\) | 3.93217 | − | 13.1343i | 0.141797 | − | 0.473637i | −0.857358 | − | 0.514720i | \(-0.827896\pi\) |
0.999156 | + | 0.0410836i | \(0.0130810\pi\) | |||||||
\(770\) | −7.56481 | + | 25.2682i | −0.272617 | + | 0.910604i | ||||
\(771\) | −23.2293 | − | 4.73940i | −0.836583 | − | 0.170685i | ||||
\(772\) | −38.8892 | + | 4.54550i | −1.39965 | + | 0.163596i | ||||
\(773\) | 14.3319 | + | 5.21640i | 0.515484 | + | 0.187621i | 0.586645 | − | 0.809844i | \(-0.300448\pi\) |
−0.0711615 | + | 0.997465i | \(0.522671\pi\) | |||||||
\(774\) | −25.2631 | + | 50.9000i | −0.908064 | + | 1.82956i | ||||
\(775\) | 20.2448 | − | 7.36852i | 0.727216 | − | 0.264685i | ||||
\(776\) | −24.2715 | + | 12.1896i | −0.871297 | + | 0.437582i | ||||
\(777\) | 14.6826 | − | 13.1285i | 0.526734 | − | 0.470984i | ||||
\(778\) | 8.60883 | + | 1.00623i | 0.308641 | + | 0.0360750i | ||||
\(779\) | −4.51654 | − | 2.26829i | −0.161822 | − | 0.0812700i | ||||
\(780\) | −24.4751 | + | 92.2113i | −0.876349 | + | 3.30169i | ||||
\(781\) | 4.38410 | + | 1.03905i | 0.156875 | + | 0.0371802i | ||||
\(782\) | −12.5611 | − | 21.7564i | −0.449183 | − | 0.778008i | ||||
\(783\) | −1.77367 | − | 49.0278i | −0.0633860 | − | 1.75211i | ||||
\(784\) | 14.7019 | − | 25.4645i | 0.525069 | − | 0.909447i | ||||
\(785\) | 10.9289 | − | 11.5839i | 0.390069 | − | 0.413449i | ||||
\(786\) | −24.5611 | + | 35.2534i | −0.876065 | + | 1.25745i | ||||
\(787\) | 1.22106 | + | 20.9648i | 0.0435261 | + | 0.747313i | 0.947506 | + | 0.319738i | \(0.103595\pi\) |
−0.903980 | + | 0.427575i | \(0.859368\pi\) | |||||||
\(788\) | 4.94769 | − | 6.64591i | 0.176254 | − | 0.236751i | ||||
\(789\) | 0.160599 | + | 0.259002i | 0.00571746 | + | 0.00922070i | ||||
\(790\) | 47.1459 | + | 31.0084i | 1.67738 | + | 1.10323i | ||||
\(791\) | 4.65212 | − | 26.3835i | 0.165410 | − | 0.938088i | ||||
\(792\) | −29.3298 | + | 22.0509i | −1.04219 | + | 0.783545i | ||||
\(793\) | 1.87996 | + | 10.6618i | 0.0667594 | + | 0.378611i | ||||
\(794\) | −2.87219 | + | 6.65849i | −0.101930 | + | 0.236301i | ||||
\(795\) | 13.1320 | − | 7.12070i | 0.465743 | − | 0.252545i | ||||
\(796\) | 58.0317 | − | 13.7538i | 2.05688 | − | 0.487489i | ||||
\(797\) | 31.6752 | + | 33.5737i | 1.12199 | + | 1.18924i | 0.979921 | + | 0.199387i | \(0.0638949\pi\) |
0.142072 | + | 0.989856i | \(0.454624\pi\) | |||||||
\(798\) | −3.79921 | + | 9.62928i | −0.134491 | + | 0.340873i | ||||
\(799\) | −18.0556 | − | 24.2529i | −0.638763 | − | 0.858007i | ||||
\(800\) | 20.2982 | − | 17.0322i | 0.717649 | − | 0.602179i | ||||
\(801\) | 0.0747662 | + | 15.8573i | 0.00264173 | + | 0.560291i | ||||
\(802\) | −48.3123 | − | 40.5388i | −1.70597 | − | 1.43148i | ||||
\(803\) | 1.30497 | − | 22.4055i | 0.0460515 | − | 0.790673i | ||||
\(804\) | 13.2097 | − | 5.28398i | 0.465871 | − | 0.186352i | ||||
\(805\) | 4.75469 | + | 11.0226i | 0.167581 | + | 0.388496i | ||||
\(806\) | −34.4164 | + | 22.6360i | −1.21227 | + | 0.797320i | ||||
\(807\) | 11.4052 | − | 8.02611i | 0.401480 | − | 0.282532i | ||||
\(808\) | 20.0328 | + | 66.9141i | 0.704751 | + | 2.35403i | ||||
\(809\) | −15.0049 | −0.527545 | −0.263772 | − | 0.964585i | \(-0.584967\pi\) | ||||
−0.263772 | + | 0.964585i | \(0.584967\pi\) | |||||||
\(810\) | −37.0262 | − | 62.7570i | −1.30097 | − | 2.20506i | ||||
\(811\) | 47.0448 | 1.65197 | 0.825983 | − | 0.563695i | \(-0.190621\pi\) | ||||
0.825983 | + | 0.563695i | \(0.190621\pi\) | |||||||
\(812\) | −20.0297 | − | 66.9038i | −0.702905 | − | 2.34786i | ||||
\(813\) | −2.96856 | − | 33.0337i | −0.104112 | − | 1.15854i | ||||
\(814\) | 28.5138 | − | 18.7538i | 0.999408 | − | 0.657321i | ||||
\(815\) | −16.0490 | − | 37.2058i | −0.562173 | − | 1.30326i | ||||
\(816\) | 41.1303 | + | 32.3643i | 1.43985 | + | 1.13298i | ||||
\(817\) | −0.614124 | + | 10.5441i | −0.0214855 | + | 0.368891i | ||||
\(818\) | −27.9642 | − | 23.4648i | −0.977747 | − | 0.820427i | ||||
\(819\) | 19.0542 | + | 3.26721i | 0.665807 | + | 0.114166i | ||||
\(820\) | 38.7950 | − | 32.5529i | 1.35478 | − | 1.13680i | ||||
\(821\) | −0.913358 | − | 1.22685i | −0.0318764 | − | 0.0428174i | 0.785899 | − | 0.618355i | \(-0.212200\pi\) |
−0.817776 | + | 0.575537i | \(0.804793\pi\) | |||||||
\(822\) | −20.3371 | − | 25.5962i | −0.709338 | − | 0.892770i | ||||
\(823\) | −1.48520 | − | 1.57422i | −0.0517707 | − | 0.0548738i | 0.700971 | − | 0.713190i | \(-0.252750\pi\) |
−0.752741 | + | 0.658316i | \(0.771269\pi\) | |||||||
\(824\) | −24.4381 | + | 5.79193i | −0.851341 | + | 0.201771i | ||||
\(825\) | −14.9327 | − | 9.16211i | −0.519891 | − | 0.318984i | ||||
\(826\) | 5.90763 | − | 13.6954i | 0.205553 | − | 0.476525i | ||||
\(827\) | 7.09126 | + | 40.2166i | 0.246587 | + | 1.39847i | 0.816777 | + | 0.576954i | \(0.195759\pi\) |
−0.570190 | + | 0.821513i | \(0.693130\pi\) | |||||||
\(828\) | −6.85087 | + | 29.5258i | −0.238084 | + | 1.02609i | ||||
\(829\) | 2.97142 | − | 16.8518i | 0.103202 | − | 0.585287i | −0.888721 | − | 0.458448i | \(-0.848406\pi\) |
0.991923 | − | 0.126839i | \(-0.0404832\pi\) | |||||||
\(830\) | −0.725789 | − | 0.477359i | −0.0251925 | − | 0.0165694i | ||||
\(831\) | 36.8526 | − | 1.15926i | 1.27840 | − | 0.0402143i | ||||
\(832\) | 1.86824 | − | 2.50949i | 0.0647697 | − | 0.0870007i | ||||
\(833\) | 1.07533 | + | 18.4626i | 0.0372578 | + | 0.639693i | ||||
\(834\) | −77.8398 | − | 6.62523i | −2.69537 | − | 0.229413i | ||||
\(835\) | −44.2766 | + | 46.9304i | −1.53225 | + | 1.62409i | ||||
\(836\) | −6.18930 | + | 10.7202i | −0.214061 | + | 0.370765i | ||||
\(837\) | 4.24012 | − | 21.2943i | 0.146560 | − | 0.736037i | ||||
\(838\) | −23.4381 | − | 40.5959i | −0.809654 | − | 1.40236i | ||||
\(839\) | 17.8674 | + | 4.23464i | 0.616850 | + | 0.146196i | 0.527149 | − | 0.849773i | \(-0.323261\pi\) |
0.0897004 | + | 0.995969i | \(0.471409\pi\) | |||||||
\(840\) | −40.5070 | − | 40.3164i | −1.39762 | − | 1.39105i | ||||
\(841\) | 53.7460 | + | 26.9923i | 1.85331 | + | 0.930768i | ||||
\(842\) | −44.8981 | − | 5.24783i | −1.54729 | − | 0.180852i | ||||
\(843\) | −16.4660 | − | 5.41318i | −0.567118 | − | 0.186440i | ||||
\(844\) | 96.9998 | − | 48.7151i | 3.33887 | − | 1.67684i | ||||
\(845\) | 6.16251 | − | 2.24297i | 0.211997 | − | 0.0771606i | ||||
\(846\) | −5.88908 | + | 52.5311i | −0.202471 | + | 1.80606i | ||||
\(847\) | −11.1597 | − | 4.06180i | −0.383452 | − | 0.139565i | ||||
\(848\) | 18.6314 | − | 2.17770i | 0.639806 | − | 0.0747826i | ||||
\(849\) | −31.6928 | + | 35.7824i | −1.08769 | + | 1.22805i | ||||
\(850\) | −16.3774 | + | 54.7042i | −0.561739 | + | 1.87634i | ||||
\(851\) | 4.45476 | − | 14.8799i | 0.152707 | − | 0.510078i | ||||
\(852\) | −11.7477 | + | 13.2637i | −0.402471 | + | 0.454406i | ||||
\(853\) | −15.4038 | + | 1.80044i | −0.527415 | + | 0.0616460i | −0.375634 | − | 0.926768i | \(-0.622575\pi\) |
−0.151781 | + | 0.988414i | \(0.548501\pi\) | |||||||
\(854\) | −11.0607 | − | 4.02577i | −0.378489 | − | 0.137759i | ||||
\(855\) | −10.9016 | − | 8.03630i | −0.372825 | − | 0.274836i | ||||
\(856\) | −94.9141 | + | 34.5459i | −3.24410 | + | 1.18075i | ||||
\(857\) | −17.0658 | + | 8.57076i | −0.582956 | + | 0.292772i | −0.715733 | − | 0.698374i | \(-0.753907\pi\) |
0.132777 | + | 0.991146i | \(0.457611\pi\) | |||||||
\(858\) | 31.8223 | + | 10.4616i | 1.08640 | + | 0.357153i | ||||
\(859\) | −2.81217 | − | 0.328695i | −0.0959500 | − | 0.0112149i | 0.0679824 | − | 0.997687i | \(-0.478344\pi\) |
−0.163932 | + | 0.986472i | \(0.552418\pi\) | |||||||
\(860\) | −94.5756 | − | 47.4977i | −3.22500 | − | 1.61966i | ||||
\(861\) | −7.27350 | − | 7.23929i | −0.247880 | − | 0.246714i | ||||
\(862\) | 26.7795 | + | 6.34685i | 0.912113 | + | 0.216175i | ||||
\(863\) | 1.50608 | + | 2.60861i | 0.0512675 | + | 0.0887980i | 0.890520 | − | 0.454943i | \(-0.150341\pi\) |
−0.839253 | + | 0.543741i | \(0.817007\pi\) | |||||||
\(864\) | −4.05707 | − | 26.3943i | −0.138024 | − | 0.897952i | ||||
\(865\) | −10.8266 | + | 18.7522i | −0.368115 | + | 0.637594i | ||||
\(866\) | 52.5275 | − | 55.6759i | 1.78496 | − | 1.89194i | ||||
\(867\) | −3.46055 | − | 0.294540i | −0.117526 | − | 0.0100031i | ||||
\(868\) | −1.79714 | − | 30.8556i | −0.0609988 | − | 1.04731i | ||||
\(869\) | 8.16525 | − | 10.9678i | 0.276987 | − | 0.372058i | ||||
\(870\) | 132.333 | − | 4.16276i | 4.48652 | − | 0.141131i | ||||
\(871\) | −5.97886 | − | 3.93236i | −0.202586 | − | 0.133243i | ||||
\(872\) | 13.9566 | − | 79.1517i | 0.472629 | − | 2.68041i | ||||
\(873\) | −12.5020 | + | 3.80716i | −0.423127 | + | 0.128853i | ||||
\(874\) | 1.41756 | + | 8.03937i | 0.0479496 | + | 0.271936i | ||||
\(875\) | 0.326787 | − | 0.757577i | 0.0110474 | − | 0.0256108i | ||||
\(876\) | 75.2282 | + | 46.1570i | 2.54173 | + | 1.55950i | ||||
\(877\) | 14.1260 | − | 3.34792i | 0.477001 | − | 0.113051i | 0.0149192 | − | 0.999889i | \(-0.495251\pi\) |
0.462082 | + | 0.886837i | \(0.347103\pi\) | |||||||
\(878\) | −48.9435 | − | 51.8771i | −1.65176 | − | 1.75077i | ||||
\(879\) | −7.89930 | − | 9.94202i | −0.266437 | − | 0.335336i | ||||
\(880\) | −25.8771 | − | 34.7590i | −0.872316 | − | 1.17172i | ||||
\(881\) | −4.96691 | + | 4.16773i | −0.167340 | + | 0.140415i | −0.722612 | − | 0.691254i | \(-0.757059\pi\) |
0.555272 | + | 0.831669i | \(0.312614\pi\) | |||||||
\(882\) | 20.6657 | − | 24.8656i | 0.695850 | − | 0.837267i | ||||
\(883\) | 19.4524 | + | 16.3225i | 0.654626 | + | 0.549297i | 0.908471 | − | 0.417948i | \(-0.137251\pi\) |
−0.253844 | + | 0.967245i | \(0.581695\pi\) | |||||||
\(884\) | 4.38122 | − | 75.2226i | 0.147356 | − | 2.53001i | ||||
\(885\) | 15.3357 | + | 12.0673i | 0.515505 | + | 0.405637i | ||||
\(886\) | −14.6039 | − | 33.8556i | −0.490626 | − | 1.13740i | ||||
\(887\) | 0.0894147 | − | 0.0588090i | 0.00300225 | − | 0.00197461i | −0.548007 | − | 0.836474i | \(-0.684613\pi\) |
0.551009 | + | 0.834499i | \(0.314243\pi\) | |||||||
\(888\) | 6.61860 | + | 73.6508i | 0.222106 | + | 2.47156i | ||||
\(889\) | −1.90133 | − | 6.35090i | −0.0637687 | − | 0.213002i | ||||
\(890\) | −42.7950 | −1.43449 | ||||||||
\(891\) | −15.7027 | + | 8.07252i | −0.526062 | + | 0.270440i | ||||
\(892\) | −128.948 | −4.31749 | ||||||||
\(893\) | 2.81787 | + | 9.41235i | 0.0942965 | + | 0.314972i | ||||
\(894\) | 50.5413 | − | 35.5672i | 1.69035 | − | 1.18955i | ||||
\(895\) | −59.6502 | + | 39.2326i | −1.99389 | + | 1.31140i | ||||
\(896\) | 8.10793 | + | 18.7963i | 0.270867 | + | 0.627940i | ||||
\(897\) | 14.1551 | − | 5.66213i | 0.472625 | − | 0.189053i | ||||
\(898\) | 1.16169 | − | 19.9455i | 0.0387662 | − | 0.665590i | ||||
\(899\) | 30.2219 | + | 25.3592i | 1.00796 | + | 0.845777i | ||||
\(900\) | 59.5023 | − | 34.7288i | 1.98341 | − | 1.15763i | ||||
\(901\) | −9.03797 | + | 7.58376i | −0.301099 | + | 0.252652i | ||||
\(902\) | −10.6185 | − | 14.2631i | −0.353556 | − | 0.474908i | ||||
\(903\) | −7.87079 | + | 19.9489i | −0.261923 | + | 0.663857i | ||||
\(904\) | 69.0242 | + | 73.1614i | 2.29571 | + | 2.43331i | ||||
\(905\) | 70.4233 | − | 16.6906i | 2.34095 | − | 0.554815i | ||||
\(906\) | 10.6986 | − | 5.80123i | 0.355437 | − | 0.192733i | ||||
\(907\) | 17.2680 | − | 40.0316i | 0.573373 | − | 1.32923i | −0.346882 | − | 0.937909i | \(-0.612760\pi\) |
0.920255 | − | 0.391319i | \(-0.127981\pi\) | |||||||
\(908\) | 4.45875 | + | 25.2868i | 0.147969 | + | 0.839172i | ||||
\(909\) | 4.05911 | + | 33.3629i | 0.134632 | + | 1.10658i | ||||
\(910\) | −9.05963 | + | 51.3797i | −0.300324 | + | 1.70322i | ||||
\(911\) | 46.2964 | + | 30.4496i | 1.53387 | + | 1.00884i | 0.984925 | + | 0.172981i | \(0.0553399\pi\) |
0.548943 | + | 0.835860i | \(0.315030\pi\) | |||||||
\(912\) | −8.96226 | − | 14.4537i | −0.296770 | − | 0.478609i | ||||
\(913\) | −0.125700 | + | 0.168845i | −0.00416007 | + | 0.00558794i | ||||
\(914\) | −3.75847 | − | 64.5305i | −0.124319 | − | 2.13448i | ||||
\(915\) | 8.80324 | − | 12.6356i | 0.291026 | − | 0.417721i | ||||
\(916\) | 69.9146 | − | 74.1051i | 2.31004 | − | 2.44850i | ||||
\(917\) | −8.10758 | + | 14.0427i | −0.267736 | + | 0.463732i | ||||
\(918\) | 38.5614 | + | 42.7189i | 1.27272 | + | 1.40993i | ||||
\(919\) | 20.4721 | + | 35.4586i | 0.675311 | + | 1.16967i | 0.976378 | + | 0.216069i | \(0.0693238\pi\) |
−0.301067 | + | 0.953603i | \(0.597343\pi\) | |||||||
\(920\) | −43.8547 | − | 10.3938i | −1.44585 | − | 0.342672i | ||||
\(921\) | −2.58979 | + | 9.75718i | −0.0853365 | + | 0.321510i | ||||
\(922\) | 46.3842 | + | 23.2950i | 1.52758 | + | 0.767181i | ||||
\(923\) | 8.85172 | + | 1.03462i | 0.291358 | + | 0.0340548i | ||||
\(924\) | −18.7363 | + | 16.7532i | −0.616379 | + | 0.551140i | ||||
\(925\) | −31.5503 | + | 15.8451i | −1.03737 | + | 0.520985i | ||||
\(926\) | −65.9813 | + | 24.0152i | −2.16828 | + | 0.789190i | ||||
\(927\) | −12.0607 | + | 0.759529i | −0.396125 | + | 0.0249462i | ||||
\(928\) | 45.5962 | + | 16.5957i | 1.49677 | + | 0.544780i | ||||
\(929\) | −32.0866 | + | 3.75039i | −1.05273 | + | 0.123046i | −0.624814 | − | 0.780774i | \(-0.714825\pi\) |
−0.427913 | + | 0.903820i | \(0.640751\pi\) | |||||||
\(930\) | 57.4127 | + | 11.7137i | 1.88264 | + | 0.384108i | ||||
\(931\) | 1.72356 | − | 5.75710i | 0.0564875 | − | 0.188681i | ||||
\(932\) | −26.1087 | + | 87.2092i | −0.855220 | + | 2.85663i | ||||
\(933\) | −5.00465 | − | 14.9848i | −0.163845 | − | 0.490579i | ||||
\(934\) | 23.1262 | − | 2.70306i | 0.756712 | − | 0.0884469i | ||||
\(935\) | 25.6116 | + | 9.32184i | 0.837587 | + | 0.304857i | ||||
\(936\) | −52.5585 | + | 50.0568i | −1.71793 | + | 1.63616i | ||||
\(937\) | 8.51549 | − | 3.09939i | 0.278189 | − | 0.101253i | −0.199158 | − | 0.979967i | \(-0.563821\pi\) |
0.477347 | + | 0.878715i | \(0.341598\pi\) | |||||||
\(938\) | 6.95274 | − | 3.49180i | 0.227015 | − | 0.114011i | ||||
\(939\) | 2.26475 | + | 10.8391i | 0.0739073 | + | 0.353721i | ||||
\(940\) | −97.7836 | − | 11.4293i | −3.18935 | − | 0.372782i | ||||
\(941\) | −21.3618 | − | 10.7283i | −0.696375 | − | 0.349732i | 0.0651437 | − | 0.997876i | \(-0.479249\pi\) |
−0.761518 | + | 0.648143i | \(0.775546\pi\) | |||||||
\(942\) | 21.2270 | − | 5.74142i | 0.691613 | − | 0.187066i | ||||
\(943\) | −7.87464 | − | 1.86632i | −0.256433 | − | 0.0607758i | ||||
\(944\) | 12.2522 | + | 21.2213i | 0.398774 | + | 0.690696i | ||||
\(945\) | −15.9318 | − | 22.4140i | −0.518263 | − | 0.729126i | ||||
\(946\) | −18.5797 | + | 32.1811i | −0.604080 | + | 1.04630i | ||||
\(947\) | 5.64890 | − | 5.98749i | 0.183565 | − | 0.194567i | −0.629056 | − | 0.777360i | \(-0.716559\pi\) |
0.812621 | + | 0.582793i | \(0.198040\pi\) | |||||||
\(948\) | 22.8396 | + | 48.6798i | 0.741796 | + | 1.58105i | ||||
\(949\) | −2.58124 | − | 44.3181i | −0.0837905 | − | 1.43863i | ||||
\(950\) | 11.0806 | − | 14.8839i | 0.359503 | − | 0.482896i | ||||
\(951\) | −20.2220 | + | 37.7166i | −0.655744 | + | 1.22305i | ||||
\(952\) | 37.7120 | + | 24.8036i | 1.22225 | + | 0.803888i | ||||
\(953\) | 2.96512 | − | 16.8161i | 0.0960498 | − | 0.544725i | −0.898371 | − | 0.439238i | \(-0.855249\pi\) |
0.994421 | − | 0.105488i | \(-0.0336403\pi\) | |||||||
\(954\) | 20.5969 | + | 1.10222i | 0.666849 | + | 0.0356856i | ||||
\(955\) | −10.1197 | − | 57.3914i | −0.327464 | − | 1.85714i | ||||
\(956\) | −20.4852 | + | 47.4900i | −0.662538 | + | 1.53594i | ||||
\(957\) | 0.857491 | − | 32.0704i | 0.0277187 | − | 1.03669i | ||||
\(958\) | −16.7000 | + | 3.95797i | −0.539552 | + | 0.127876i | ||||
\(959\) | −8.46675 | − | 8.97423i | −0.273406 | − | 0.289793i | ||||
\(960\) | −4.40171 | + | 0.655358i | −0.142064 | + | 0.0211516i | ||||
\(961\) | −8.08543 | − | 10.8606i | −0.260820 | − | 0.350343i | ||||
\(962\) | 51.7125 | − | 43.3919i | 1.66728 | − | 1.39901i | ||||
\(963\) | −47.8220 | + | 8.66499i | −1.54104 | + | 0.279225i | ||||
\(964\) | 45.2738 | + | 37.9893i | 1.45817 | + | 1.22355i | ||||
\(965\) | 1.62885 | − | 27.9662i | 0.0524344 | − | 0.900264i | ||||
\(966\) | −2.36362 | + | 16.4059i | −0.0760482 | + | 0.527851i | ||||
\(967\) | 6.08076 | + | 14.0968i | 0.195544 | + | 0.453322i | 0.987573 | − | 0.157162i | \(-0.0502344\pi\) |
−0.792029 | + | 0.610484i | \(0.790975\pi\) | |||||||
\(968\) | 37.2521 | − | 24.5011i | 1.19733 | − | 0.787495i | ||||
\(969\) | 9.70506 | + | 4.49772i | 0.311771 | + | 0.144488i | ||||
\(970\) | −10.1153 | − | 33.7874i | −0.324782 | − | 1.08485i | ||||
\(971\) | 10.5213 | 0.337645 | 0.168822 | − | 0.985646i | \(-0.446004\pi\) | ||||
0.168822 | + | 0.985646i | \(0.446004\pi\) | |||||||
\(972\) | 1.20125 | − | 69.4232i | 0.0385301 | − | 2.22675i | ||||
\(973\) | −29.4828 | −0.945174 | ||||||||
\(974\) | 14.3371 | + | 47.8892i | 0.459390 | + | 1.53447i | ||||
\(975\) | −31.4411 | − | 14.5711i | −1.00692 | − | 0.466649i | ||||
\(976\) | 16.1566 | − | 10.6263i | 0.517159 | − | 0.340141i | ||||
\(977\) | −9.14715 | − | 21.2055i | −0.292643 | − | 0.678424i | 0.706940 | − | 0.707273i | \(-0.250075\pi\) |
−0.999584 | + | 0.0288495i | \(0.990816\pi\) | |||||||
\(978\) | 7.97818 | − | 55.3766i | 0.255114 | − | 1.77075i | ||||
\(979\) | −0.602947 | + | 10.3522i | −0.0192703 | + | 0.330858i | ||||
\(980\) | 46.1288 | + | 38.7067i | 1.47353 | + | 1.23644i | ||||
\(981\) | 13.0554 | − | 36.4026i | 0.416827 | − | 1.16224i | ||||
\(982\) | 64.6378 | − | 54.2376i | 2.06268 | − | 1.73079i | ||||
\(983\) | −0.714909 | − | 0.960290i | −0.0228021 | − | 0.0306285i | 0.790576 | − | 0.612364i | \(-0.209781\pi\) |
−0.813378 | + | 0.581736i | \(0.802374\pi\) | |||||||
\(984\) | 38.1083 | − | 5.67385i | 1.21485 | − | 0.180876i | ||||
\(985\) | 4.06802 | + | 4.31185i | 0.129618 | + | 0.137387i | ||||
\(986\) | −101.750 | + | 24.1151i | −3.24037 | + | 0.767982i | ||||
\(987\) | −0.533209 | + | 19.9422i | −0.0169722 | + | 0.634767i | ||||
\(988\) | −9.69796 | + | 22.4824i | −0.308533 | + | 0.715260i | ||||
\(989\) | 2.93674 | + | 16.6551i | 0.0933830 | + | 0.529601i | ||||
\(990\) | −21.5854 | − | 42.4796i | −0.686030 | − | 1.35009i | ||||
\(991\) | −3.76949 | + | 21.3778i | −0.119742 | + | 0.679089i | 0.864551 | + | 0.502545i | \(0.167603\pi\) |
−0.984293 | + | 0.176544i | \(0.943508\pi\) | |||||||
\(992\) | 17.9417 | + | 11.8004i | 0.569649 | + | 0.374664i | ||||
\(993\) | 5.78527 | − | 10.7903i | 0.183590 | − | 0.342419i | ||||
\(994\) | −5.78605 | + | 7.77201i | −0.183522 | + | 0.246513i | ||||
\(995\) | 2.48106 | + | 42.5981i | 0.0786547 | + | 1.35045i | ||||
\(996\) | −0.351605 | − | 0.749402i | −0.0111410 | − | 0.0237457i | ||||
\(997\) | 23.6796 | − | 25.0990i | 0.749942 | − | 0.794892i | −0.234216 | − | 0.972184i | \(-0.575252\pi\) |
0.984158 | + | 0.177293i | \(0.0567339\pi\) | |||||||
\(998\) | −40.8494 | + | 70.7532i | −1.29306 | + | 2.23965i | ||||
\(999\) | −2.85035 | + | 35.4669i | −0.0901812 | + | 1.12212i |
(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 | 81.2.g.a.43.1 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.46.8 | 144 | |||
9.2 | odd | 6 | 729.2.g.b.622.8 | 144 | |||
9.4 | even | 3 | 729.2.g.d.136.8 | 144 | |||
9.5 | odd | 6 | 729.2.g.a.136.1 | 144 | |||
9.7 | even | 3 | 729.2.g.c.622.1 | 144 | |||
81.5 | odd | 54 | 729.2.g.b.109.8 | 144 | |||
81.7 | even | 27 | 6561.2.a.c.1.70 | 72 | |||
81.22 | even | 27 | 729.2.g.d.595.8 | 144 | |||
81.32 | odd | 54 | 243.2.g.a.37.8 | 144 | |||
81.49 | even | 27 | inner | 81.2.g.a.49.1 | yes | 144 | |
81.59 | odd | 54 | 729.2.g.a.595.1 | 144 | |||
81.74 | odd | 54 | 6561.2.a.d.1.3 | 72 | |||
81.76 | even | 27 | 729.2.g.c.109.1 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.43.1 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.49.1 | yes | 144 | 81.49 | even | 27 | inner | |
243.2.g.a.37.8 | 144 | 81.32 | odd | 54 | |||
243.2.g.a.46.8 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.136.1 | 144 | 9.5 | odd | 6 | |||
729.2.g.a.595.1 | 144 | 81.59 | odd | 54 | |||
729.2.g.b.109.8 | 144 | 81.5 | odd | 54 | |||
729.2.g.b.622.8 | 144 | 9.2 | odd | 6 | |||
729.2.g.c.109.1 | 144 | 81.76 | even | 27 | |||
729.2.g.c.622.1 | 144 | 9.7 | even | 3 | |||
729.2.g.d.136.8 | 144 | 9.4 | even | 3 | |||
729.2.g.d.595.8 | 144 | 81.22 | even | 27 | |||
6561.2.a.c.1.70 | 72 | 81.7 | even | 27 | |||
6561.2.a.d.1.3 | 72 | 81.74 | odd | 54 |