Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(11,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.v (of order \(18\), degree \(6\), 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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.17 | ||
Character | \(\chi\) | \(=\) | 216.11 |
Dual form | 216.2.v.b.59.17 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.133842 | + | 1.40787i | 0.0946403 | + | 0.995512i | ||||
\(3\) | 0.00307742 | − | 1.73205i | 0.00177675 | − | 0.999998i | ||||
\(4\) | −1.96417 | + | 0.376862i | −0.982086 | + | 0.188431i | ||||
\(5\) | −2.47648 | − | 0.901367i | −1.10752 | − | 0.403103i | −0.277435 | − | 0.960744i | \(-0.589484\pi\) |
−0.830082 | + | 0.557641i | \(0.811707\pi\) | |||||||
\(6\) | 2.43890 | − | 0.227487i | 0.995678 | − | 0.0928714i | ||||
\(7\) | −2.55949 | − | 0.451307i | −0.967396 | − | 0.170578i | −0.332438 | − | 0.943125i | \(-0.607871\pi\) |
−0.634958 | + | 0.772547i | \(0.718982\pi\) | |||||||
\(8\) | −0.793459 | − | 2.71485i | −0.280530 | − | 0.959845i | ||||
\(9\) | −2.99998 | − | 0.0106605i | −0.999994 | − | 0.00355349i | ||||
\(10\) | 0.937547 | − | 3.60720i | 0.296478 | − | 1.14070i | ||||
\(11\) | 0.556608 | + | 1.52927i | 0.167824 | + | 0.461091i | 0.994884 | − | 0.101021i | \(-0.0322110\pi\) |
−0.827061 | + | 0.562113i | \(0.809989\pi\) | |||||||
\(12\) | 0.646699 | + | 3.40320i | 0.186686 | + | 0.982420i | ||||
\(13\) | −1.88389 | − | 2.24514i | −0.522498 | − | 0.622689i | 0.438672 | − | 0.898647i | \(-0.355449\pi\) |
−0.961169 | + | 0.275959i | \(0.911005\pi\) | |||||||
\(14\) | 0.292814 | − | 3.66382i | 0.0782577 | − | 0.979197i | ||||
\(15\) | −1.56883 | + | 4.28662i | −0.405071 | + | 1.10680i | ||||
\(16\) | 3.71595 | − | 1.48044i | 0.928988 | − | 0.370111i | ||||
\(17\) | −3.28845 | + | 1.89859i | −0.797567 | + | 0.460476i | −0.842620 | − | 0.538509i | \(-0.818988\pi\) |
0.0450525 | + | 0.998985i | \(0.485654\pi\) | |||||||
\(18\) | −0.386514 | − | 4.22500i | −0.0911021 | − | 0.995842i | ||||
\(19\) | 4.30904 | − | 7.46347i | 0.988561 | − | 1.71224i | 0.363666 | − | 0.931530i | \(-0.381525\pi\) |
0.624895 | − | 0.780708i | \(-0.285142\pi\) | |||||||
\(20\) | 5.20394 | + | 0.837147i | 1.16364 | + | 0.187192i | ||||
\(21\) | −0.789562 | + | 4.43177i | −0.172297 | + | 0.967091i | ||||
\(22\) | −2.07851 | + | 0.988309i | −0.443139 | + | 0.210708i | ||||
\(23\) | 1.07009 | + | 6.06879i | 0.223129 | + | 1.26543i | 0.866229 | + | 0.499647i | \(0.166537\pi\) |
−0.643100 | + | 0.765783i | \(0.722352\pi\) | |||||||
\(24\) | −4.70470 | + | 1.36595i | −0.960342 | + | 0.278824i | ||||
\(25\) | 1.49029 | + | 1.25050i | 0.298059 | + | 0.250101i | ||||
\(26\) | 2.90871 | − | 2.95276i | 0.570444 | − | 0.579084i | ||||
\(27\) | −0.0276967 | + | 5.19608i | −0.00533022 | + | 0.999986i | ||||
\(28\) | 5.19736 | − | 0.0781292i | 0.982209 | − | 0.0147650i | ||||
\(29\) | −3.88174 | − | 3.25716i | −0.720820 | − | 0.604840i | 0.206792 | − | 0.978385i | \(-0.433698\pi\) |
−0.927612 | + | 0.373545i | \(0.878142\pi\) | |||||||
\(30\) | −6.24496 | − | 1.63498i | −1.14017 | − | 0.298505i | ||||
\(31\) | 3.57300 | − | 0.630016i | 0.641729 | − | 0.113154i | 0.156692 | − | 0.987648i | \(-0.449917\pi\) |
0.485037 | + | 0.874493i | \(0.338806\pi\) | |||||||
\(32\) | 2.58162 | + | 5.03341i | 0.456369 | + | 0.889790i | ||||
\(33\) | 2.65048 | − | 0.959365i | 0.461389 | − | 0.167004i | ||||
\(34\) | −3.11309 | − | 4.37559i | −0.533891 | − | 0.750408i | ||||
\(35\) | 5.93174 | + | 3.42469i | 1.00265 | + | 0.578879i | ||||
\(36\) | 5.89650 | − | 1.10964i | 0.982750 | − | 0.184940i | ||||
\(37\) | 6.40179 | − | 3.69607i | 1.05245 | − | 0.607631i | 0.129114 | − | 0.991630i | \(-0.458787\pi\) |
0.923333 | + | 0.383999i | \(0.125453\pi\) | |||||||
\(38\) | 11.0843 | + | 5.06762i | 1.79811 | + | 0.822077i | ||||
\(39\) | −3.89448 | + | 3.25608i | −0.623616 | + | 0.521391i | ||||
\(40\) | −0.482088 | + | 7.43849i | −0.0762248 | + | 1.17613i | ||||
\(41\) | −4.43232 | − | 5.28224i | −0.692212 | − | 0.824947i | 0.299409 | − | 0.954125i | \(-0.403211\pi\) |
−0.991621 | + | 0.129178i | \(0.958766\pi\) | |||||||
\(42\) | −6.34501 | − | 0.518442i | −0.979057 | − | 0.0799974i | ||||
\(43\) | −3.77811 | + | 1.37512i | −0.576156 | + | 0.209704i | −0.613630 | − | 0.789594i | \(-0.710291\pi\) |
0.0374734 | + | 0.999298i | \(0.488069\pi\) | |||||||
\(44\) | −1.66960 | − | 2.79398i | −0.251701 | − | 0.421209i | ||||
\(45\) | 7.41980 | + | 2.73048i | 1.10608 | + | 0.407036i | ||||
\(46\) | −8.40082 | + | 2.31880i | −1.23863 | + | 0.341889i | ||||
\(47\) | −0.253807 | + | 1.43941i | −0.0370215 | + | 0.209960i | −0.997707 | − | 0.0676790i | \(-0.978441\pi\) |
0.960686 | + | 0.277639i | \(0.0895517\pi\) | |||||||
\(48\) | −2.55277 | − | 6.44076i | −0.368460 | − | 0.929644i | ||||
\(49\) | −0.230541 | − | 0.0839100i | −0.0329344 | − | 0.0119871i | ||||
\(50\) | −1.56108 | + | 2.26550i | −0.220770 | + | 0.320390i | ||||
\(51\) | 3.27833 | + | 5.70160i | 0.459058 | + | 0.798384i | ||||
\(52\) | 4.54640 | + | 3.69987i | 0.630472 | + | 0.513079i | ||||
\(53\) | −0.180986 | −0.0248604 | −0.0124302 | − | 0.999923i | \(-0.503957\pi\) | ||||
−0.0124302 | + | 0.999923i | \(0.503957\pi\) | |||||||
\(54\) | −7.31909 | + | 0.656458i | −0.996002 | + | 0.0893326i | ||||
\(55\) | − | 4.28892i | − | 0.578317i | ||||||
\(56\) | 0.805618 | + | 7.30673i | 0.107655 | + | 0.976403i | ||||
\(57\) | −12.9138 | − | 7.48643i | −1.71048 | − | 0.991602i | ||||
\(58\) | 4.06611 | − | 5.90091i | 0.533906 | − | 0.774827i | ||||
\(59\) | 0.253090 | − | 0.695359i | 0.0329495 | − | 0.0905280i | −0.922127 | − | 0.386887i | \(-0.873550\pi\) |
0.955077 | + | 0.296359i | \(0.0957725\pi\) | |||||||
\(60\) | 1.46599 | − | 9.01089i | 0.189259 | − | 1.16330i | ||||
\(61\) | −11.1190 | − | 1.96057i | −1.42364 | − | 0.251026i | −0.591817 | − | 0.806072i | \(-0.701589\pi\) |
−0.831819 | + | 0.555047i | \(0.812700\pi\) | |||||||
\(62\) | 1.36519 | + | 4.94598i | 0.173380 | + | 0.628140i | ||||
\(63\) | 7.67361 | + | 1.38120i | 0.966784 | + | 0.174015i | ||||
\(64\) | −6.74085 | + | 4.30825i | −0.842606 | + | 0.538531i | ||||
\(65\) | 2.64174 | + | 7.25812i | 0.327668 | + | 0.900259i | ||||
\(66\) | 1.70540 | + | 3.60311i | 0.209920 | + | 0.443513i | ||||
\(67\) | −10.5159 | + | 8.82387i | −1.28472 | + | 1.07801i | −0.292144 | + | 0.956374i | \(0.594369\pi\) |
−0.992575 | + | 0.121633i | \(0.961187\pi\) | |||||||
\(68\) | 5.74359 | − | 4.96845i | 0.696512 | − | 0.602513i | ||||
\(69\) | 10.5147 | − | 1.83477i | 1.26582 | − | 0.220881i | ||||
\(70\) | −4.02760 | + | 8.80947i | −0.481390 | + | 1.05293i | ||||
\(71\) | −2.57253 | − | 4.45576i | −0.305303 | − | 0.528801i | 0.672025 | − | 0.740528i | \(-0.265425\pi\) |
−0.977329 | + | 0.211727i | \(0.932091\pi\) | |||||||
\(72\) | 2.35142 | + | 8.15296i | 0.277118 | + | 0.960836i | ||||
\(73\) | −2.62831 | + | 4.55236i | −0.307620 | + | 0.532814i | −0.977841 | − | 0.209348i | \(-0.932866\pi\) |
0.670221 | + | 0.742161i | \(0.266199\pi\) | |||||||
\(74\) | 6.06040 | + | 8.51817i | 0.704507 | + | 0.990217i | ||||
\(75\) | 2.17052 | − | 2.57741i | 0.250630 | − | 0.297614i | ||||
\(76\) | −5.65100 | + | 16.2835i | −0.648214 | + | 1.86784i | ||||
\(77\) | −0.734463 | − | 4.16534i | −0.0836998 | − | 0.474685i | ||||
\(78\) | −5.10537 | − | 5.04711i | −0.578070 | − | 0.571472i | ||||
\(79\) | 6.72831 | − | 8.01849i | 0.756994 | − | 0.902151i | −0.240660 | − | 0.970610i | \(-0.577364\pi\) |
0.997654 | + | 0.0684588i | \(0.0218082\pi\) | |||||||
\(80\) | −10.5369 | + | 0.316864i | −1.17806 | + | 0.0354264i | ||||
\(81\) | 8.99977 | + | 0.0639625i | 0.999975 | + | 0.00710694i | ||||
\(82\) | 6.84345 | − | 6.94710i | 0.755733 | − | 0.767179i | ||||
\(83\) | 7.39656 | − | 8.81488i | 0.811878 | − | 0.967559i | −0.188015 | − | 0.982166i | \(-0.560205\pi\) |
0.999893 | + | 0.0146072i | \(0.00464979\pi\) | |||||||
\(84\) | −0.119329 | − | 9.00232i | −0.0130199 | − | 0.982233i | ||||
\(85\) | 9.85513 | − | 1.73773i | 1.06894 | − | 0.188483i | ||||
\(86\) | −2.44165 | − | 5.13502i | −0.263290 | − | 0.553724i | ||||
\(87\) | −5.65351 | + | 6.71333i | −0.606120 | + | 0.719744i | ||||
\(88\) | 3.71009 | − | 2.72452i | 0.395497 | − | 0.290435i | ||||
\(89\) | −0.211259 | − | 0.121971i | −0.0223934 | − | 0.0129289i | 0.488761 | − | 0.872417i | \(-0.337449\pi\) |
−0.511155 | + | 0.859489i | \(0.670782\pi\) | |||||||
\(90\) | −2.85108 | + | 10.8115i | −0.300530 | + | 1.13964i | ||||
\(91\) | 3.80856 | + | 6.59662i | 0.399245 | + | 0.691513i | ||||
\(92\) | −4.38894 | − | 11.5169i | −0.457579 | − | 1.20072i | ||||
\(93\) | −1.08022 | − | 6.19054i | −0.112014 | − | 0.641929i | ||||
\(94\) | −2.06047 | − | 0.164673i | −0.212521 | − | 0.0169847i | ||||
\(95\) | −17.3986 | + | 14.5992i | −1.78506 | + | 1.49784i | ||||
\(96\) | 8.72606 | − | 4.45599i | 0.890600 | − | 0.454788i | ||||
\(97\) | 1.95441 | − | 0.711348i | 0.198441 | − | 0.0722264i | −0.240888 | − | 0.970553i | \(-0.577439\pi\) |
0.439329 | + | 0.898326i | \(0.355216\pi\) | |||||||
\(98\) | 0.0872781 | − | 0.335801i | 0.00881642 | − | 0.0339211i | ||||
\(99\) | −1.65351 | − | 4.59371i | −0.166184 | − | 0.461685i | ||||
\(100\) | −3.39846 | − | 1.89457i | −0.339846 | − | 0.189457i | ||||
\(101\) | 3.09813 | − | 17.5704i | 0.308276 | − | 1.74832i | −0.299394 | − | 0.954130i | \(-0.596784\pi\) |
0.607670 | − | 0.794190i | \(-0.292104\pi\) | |||||||
\(102\) | −7.58832 | + | 5.37856i | −0.751355 | + | 0.532557i | ||||
\(103\) | 4.29301 | − | 11.7949i | 0.423003 | − | 1.16219i | −0.526977 | − | 0.849879i | \(-0.676675\pi\) |
0.949980 | − | 0.312311i | \(-0.101103\pi\) | |||||||
\(104\) | −4.60042 | + | 6.89591i | −0.451108 | + | 0.676200i | ||||
\(105\) | 5.94999 | − | 10.2635i | 0.580659 | − | 1.00162i | ||||
\(106\) | −0.0242235 | − | 0.254804i | −0.00235279 | − | 0.0247488i | ||||
\(107\) | − | 10.9395i | − | 1.05757i | −0.848757 | − | 0.528783i | \(-0.822649\pi\) | ||
0.848757 | − | 0.528783i | \(-0.177351\pi\) | |||||||
\(108\) | −1.90380 | − | 10.2164i | −0.183194 | − | 0.983077i | ||||
\(109\) | 6.35577i | 0.608772i | 0.952549 | + | 0.304386i | \(0.0984513\pi\) | ||||
−0.952549 | + | 0.304386i | \(0.901549\pi\) | |||||||
\(110\) | 6.03822 | − | 0.574035i | 0.575721 | − | 0.0547321i | ||||
\(111\) | −6.38208 | − | 11.0996i | −0.605760 | − | 1.05353i | ||||
\(112\) | −10.1791 | + | 2.11215i | −0.961832 | + | 0.199579i | ||||
\(113\) | −1.20684 | + | 3.31577i | −0.113530 | + | 0.311921i | −0.983425 | − | 0.181316i | \(-0.941964\pi\) |
0.869895 | + | 0.493237i | \(0.164187\pi\) | |||||||
\(114\) | 8.81148 | − | 19.1829i | 0.825271 | − | 1.79665i | ||||
\(115\) | 2.82014 | − | 15.9938i | 0.262979 | − | 1.49143i | ||||
\(116\) | 8.85190 | + | 4.93475i | 0.821878 | + | 0.458180i | ||||
\(117\) | 5.62771 | + | 6.75545i | 0.520282 | + | 0.624541i | ||||
\(118\) | 1.01285 | + | 0.263249i | 0.0932400 | + | 0.0242340i | ||||
\(119\) | 9.27361 | − | 3.37532i | 0.850110 | − | 0.309415i | ||||
\(120\) | 12.8823 | + | 0.857891i | 1.17599 | + | 0.0783144i | ||||
\(121\) | 6.39764 | − | 5.36826i | 0.581604 | − | 0.488024i | ||||
\(122\) | 1.27204 | − | 15.9164i | 0.115165 | − | 1.44100i | ||||
\(123\) | −9.16273 | + | 7.66074i | −0.826175 | + | 0.690746i | ||||
\(124\) | −6.78056 | + | 2.58399i | −0.608912 | + | 0.232049i | ||||
\(125\) | 4.02503 | + | 6.97155i | 0.360009 | + | 0.623554i | ||||
\(126\) | −0.917494 | + | 10.9883i | −0.0817368 | + | 0.978913i | ||||
\(127\) | 15.7942 | + | 9.11876i | 1.40150 | + | 0.809159i | 0.994547 | − | 0.104288i | \(-0.0332563\pi\) |
0.406958 | + | 0.913447i | \(0.366590\pi\) | |||||||
\(128\) | −6.96764 | − | 8.91358i | −0.615858 | − | 0.787857i | ||||
\(129\) | 2.37015 | + | 6.54810i | 0.208680 | + | 0.576528i | ||||
\(130\) | −9.86489 | + | 4.69066i | −0.865208 | + | 0.411398i | ||||
\(131\) | 4.10519 | − | 0.723856i | 0.358672 | − | 0.0632436i | 0.00859153 | − | 0.999963i | \(-0.497265\pi\) |
0.350081 | + | 0.936719i | \(0.386154\pi\) | |||||||
\(132\) | −4.84445 | + | 2.88322i | −0.421655 | + | 0.250952i | ||||
\(133\) | −14.3973 | + | 17.1580i | −1.24840 | + | 1.48779i | ||||
\(134\) | −13.8303 | − | 13.6239i | −1.19475 | − | 1.17693i | ||||
\(135\) | 4.75216 | − | 12.8430i | 0.409001 | − | 1.10535i | ||||
\(136\) | 7.76365 | + | 7.42121i | 0.665727 | + | 0.636364i | ||||
\(137\) | −10.2458 | + | 12.2105i | −0.875360 | + | 1.04321i | 0.123347 | + | 0.992364i | \(0.460637\pi\) |
−0.998706 | + | 0.0508494i | \(0.983807\pi\) | |||||||
\(138\) | 3.99042 | + | 14.5578i | 0.339687 | + | 1.23924i | ||||
\(139\) | −0.411616 | − | 2.33439i | −0.0349128 | − | 0.198000i | 0.962363 | − | 0.271769i | \(-0.0876086\pi\) |
−0.997275 | + | 0.0737683i | \(0.976497\pi\) | |||||||
\(140\) | −12.9416 | − | 4.49124i | −1.09377 | − | 0.379579i | ||||
\(141\) | 2.49235 | + | 0.444035i | 0.209893 | + | 0.0373945i | ||||
\(142\) | 5.92880 | − | 4.21815i | 0.497534 | − | 0.353979i | ||||
\(143\) | 2.38482 | − | 4.13064i | 0.199429 | − | 0.345421i | ||||
\(144\) | −11.1636 | + | 4.40169i | −0.930297 | + | 0.366808i | ||||
\(145\) | 6.67716 | + | 11.5652i | 0.554508 | + | 0.960436i | ||||
\(146\) | −6.76089 | − | 3.09101i | −0.559535 | − | 0.255814i | ||||
\(147\) | −0.146046 | + | 0.399050i | −0.0120456 | + | 0.0329131i | ||||
\(148\) | −11.1813 | + | 9.67232i | −0.919098 | + | 0.795060i | ||||
\(149\) | −12.2426 | + | 10.2728i | −1.00295 | + | 0.841578i | −0.987391 | − | 0.158300i | \(-0.949399\pi\) |
−0.0155632 | + | 0.999879i | \(0.504954\pi\) | |||||||
\(150\) | 3.91915 | + | 2.71084i | 0.319998 | + | 0.221339i | ||||
\(151\) | −0.806403 | − | 2.21557i | −0.0656242 | − | 0.180301i | 0.902546 | − | 0.430593i | \(-0.141696\pi\) |
−0.968170 | + | 0.250292i | \(0.919473\pi\) | |||||||
\(152\) | −23.6813 | − | 5.77644i | −1.92080 | − | 0.468531i | ||||
\(153\) | 9.88554 | − | 5.66068i | 0.799199 | − | 0.457639i | ||||
\(154\) | 5.76595 | − | 1.59152i | 0.464633 | − | 0.128248i | ||||
\(155\) | −9.41635 | − | 1.66036i | −0.756339 | − | 0.133363i | ||||
\(156\) | 6.42234 | − | 7.86319i | 0.514199 | − | 0.629559i | ||||
\(157\) | −0.284046 | + | 0.780410i | −0.0226693 | + | 0.0622835i | −0.950511 | − | 0.310691i | \(-0.899440\pi\) |
0.927842 | + | 0.372974i | \(0.121662\pi\) | |||||||
\(158\) | 12.1895 | + | 8.39936i | 0.969744 | + | 0.668217i | ||||
\(159\) | −0.000556971 | 0.313477i | −4.41706e−5 | 0.0248603i | ||||||
\(160\) | −1.85638 | − | 14.7922i | −0.146760 | − | 1.16942i | ||||
\(161\) | − | 16.0159i | − | 1.26223i | ||||||
\(162\) | 1.11449 | + | 12.6790i | 0.0875629 | + | 0.996159i | ||||
\(163\) | −11.2657 | −0.882401 | −0.441200 | − | 0.897409i | \(-0.645447\pi\) | ||||
−0.441200 | + | 0.897409i | \(0.645447\pi\) | |||||||
\(164\) | 10.6965 | + | 8.70485i | 0.835258 | + | 0.679735i | ||||
\(165\) | −7.42861 | − | 0.0131988i | −0.578316 | − | 0.00102752i | ||||
\(166\) | 13.4001 | + | 9.23357i | 1.04005 | + | 0.716664i | ||||
\(167\) | 16.4192 | + | 5.97611i | 1.27056 | + | 0.462445i | 0.887299 | − | 0.461195i | \(-0.152579\pi\) |
0.383260 | + | 0.923641i | \(0.374801\pi\) | |||||||
\(168\) | 12.6581 | − | 1.37288i | 0.976592 | − | 0.105920i | ||||
\(169\) | 0.765842 | − | 4.34331i | 0.0589110 | − | 0.334101i | ||||
\(170\) | 3.76551 | + | 13.6421i | 0.288802 | + | 1.04630i | ||||
\(171\) | −13.0066 | + | 22.3443i | −0.994639 | + | 1.70871i | ||||
\(172\) | 6.90263 | − | 4.12480i | 0.526321 | − | 0.314513i | ||||
\(173\) | −17.4791 | + | 6.36186i | −1.32891 | + | 0.483683i | −0.906302 | − | 0.422630i | \(-0.861107\pi\) |
−0.422606 | + | 0.906313i | \(0.638885\pi\) | |||||||
\(174\) | −10.2081 | − | 7.06086i | −0.773877 | − | 0.535282i | ||||
\(175\) | −3.25003 | − | 3.87323i | −0.245679 | − | 0.292789i | ||||
\(176\) | 4.33232 | + | 4.85865i | 0.326561 | + | 0.366235i | ||||
\(177\) | −1.20362 | − | 0.440504i | −0.0904693 | − | 0.0331103i | ||||
\(178\) | 0.143443 | − | 0.313749i | 0.0107515 | − | 0.0235165i | ||||
\(179\) | −6.13650 | + | 3.54291i | −0.458663 | + | 0.264809i | −0.711482 | − | 0.702704i | \(-0.751976\pi\) |
0.252819 | + | 0.967514i | \(0.418642\pi\) | |||||||
\(180\) | −15.6028 | − | 2.56690i | −1.16296 | − | 0.191326i | ||||
\(181\) | 0.129860 | + | 0.0749748i | 0.00965242 | + | 0.00557283i | 0.504818 | − | 0.863226i | \(-0.331559\pi\) |
−0.495166 | + | 0.868798i | \(0.664893\pi\) | |||||||
\(182\) | −8.77741 | + | 6.24484i | −0.650625 | + | 0.462898i | ||||
\(183\) | −3.43002 | + | 19.2525i | −0.253555 | + | 1.42319i | ||||
\(184\) | 15.6268 | − | 7.72047i | 1.15202 | − | 0.569161i | ||||
\(185\) | −19.1854 | + | 3.38291i | −1.41054 | + | 0.248717i | ||||
\(186\) | 8.57087 | − | 2.34936i | 0.628447 | − | 0.172263i | ||||
\(187\) | −4.73383 | − | 3.97216i | −0.346172 | − | 0.290473i | ||||
\(188\) | −0.0439385 | − | 2.92290i | −0.00320454 | − | 0.213174i | ||||
\(189\) | 2.41592 | − | 13.2868i | 0.175732 | − | 0.966473i | ||||
\(190\) | −22.8823 | − | 22.5409i | −1.66006 | − | 1.63529i | ||||
\(191\) | −8.37441 | − | 7.02696i | −0.605951 | − | 0.508453i | 0.287401 | − | 0.957810i | \(-0.407209\pi\) |
−0.893352 | + | 0.449357i | \(0.851653\pi\) | |||||||
\(192\) | 7.44135 | + | 11.6887i | 0.537033 | + | 0.843561i | ||||
\(193\) | 0.508999 | + | 2.88668i | 0.0366385 | + | 0.207788i | 0.997631 | − | 0.0687854i | \(-0.0219124\pi\) |
−0.960993 | + | 0.276573i | \(0.910801\pi\) | |||||||
\(194\) | 1.26306 | + | 2.65634i | 0.0906827 | + | 0.190714i | ||||
\(195\) | 12.5795 | − | 4.55329i | 0.900840 | − | 0.326068i | ||||
\(196\) | 0.484445 | + | 0.0779317i | 0.0346032 | + | 0.00556655i | ||||
\(197\) | 1.40635 | − | 2.43587i | 0.100198 | − | 0.173548i | −0.811568 | − | 0.584258i | \(-0.801386\pi\) |
0.911766 | + | 0.410710i | \(0.134719\pi\) | |||||||
\(198\) | 6.24602 | − | 2.94275i | 0.443885 | − | 0.209132i | ||||
\(199\) | 0.874354 | − | 0.504808i | 0.0619813 | − | 0.0357849i | −0.468689 | − | 0.883363i | \(-0.655274\pi\) |
0.530670 | + | 0.847578i | \(0.321940\pi\) | |||||||
\(200\) | 2.21245 | − | 5.03815i | 0.156444 | − | 0.356251i | ||||
\(201\) | 15.2510 | + | 18.2412i | 1.07572 | + | 1.28663i | ||||
\(202\) | 25.1514 | + | 2.01011i | 1.76965 | + | 0.141431i | ||||
\(203\) | 8.46528 | + | 10.0885i | 0.594146 | + | 0.708076i | ||||
\(204\) | −8.58792 | − | 9.96346i | −0.601275 | − | 0.697582i | ||||
\(205\) | 6.21535 | + | 17.0765i | 0.434099 | + | 1.19268i | ||||
\(206\) | 17.1803 | + | 4.46533i | 1.19701 | + | 0.311114i | ||||
\(207\) | −3.14556 | − | 18.2177i | −0.218631 | − | 1.26621i | ||||
\(208\) | −10.3243 | − | 5.55382i | −0.715858 | − | 0.385088i | ||||
\(209\) | 13.8121 | + | 2.43544i | 0.955402 | + | 0.168463i | ||||
\(210\) | 15.2460 | + | 7.00310i | 1.05208 | + | 0.483260i | ||||
\(211\) | −3.98399 | − | 1.45005i | −0.274269 | − | 0.0998257i | 0.201224 | − | 0.979545i | \(-0.435508\pi\) |
−0.475493 | + | 0.879720i | \(0.657730\pi\) | |||||||
\(212\) | 0.355488 | − | 0.0682068i | 0.0244150 | − | 0.00468447i | ||||
\(213\) | −7.72550 | + | 4.44204i | −0.529343 | + | 0.304363i | ||||
\(214\) | 15.4014 | − | 1.46417i | 1.05282 | − | 0.100088i | ||||
\(215\) | 10.5959 | 0.722636 | ||||||||
\(216\) | 14.1286 | − | 4.04768i | 0.961327 | − | 0.275410i | ||||
\(217\) | −9.42938 | −0.640108 | ||||||||
\(218\) | −8.94807 | + | 0.850666i | −0.606040 | + | 0.0576144i | ||||
\(219\) | 7.87682 | + | 4.56636i | 0.532266 | + | 0.308566i | ||||
\(220\) | 1.61633 | + | 8.42417i | 0.108973 | + | 0.567958i | ||||
\(221\) | 10.4577 | + | 3.80629i | 0.703460 | + | 0.256039i | ||||
\(222\) | 14.7725 | − | 10.4707i | 0.991467 | − | 0.702747i | ||||
\(223\) | −15.7442 | − | 2.77613i | −1.05431 | − | 0.185903i | −0.380480 | − | 0.924789i | \(-0.624241\pi\) |
−0.673831 | + | 0.738886i | \(0.735352\pi\) | |||||||
\(224\) | −4.33600 | − | 14.0481i | −0.289711 | − | 0.938626i | ||||
\(225\) | −4.45752 | − | 3.76738i | −0.297168 | − | 0.251158i | ||||
\(226\) | −4.82969 | − | 1.25528i | −0.321266 | − | 0.0835002i | ||||
\(227\) | 0.588042 | + | 1.61563i | 0.0390297 | + | 0.107233i | 0.957677 | − | 0.287846i | \(-0.0929392\pi\) |
−0.918647 | + | 0.395080i | \(0.870717\pi\) | |||||||
\(228\) | 28.1863 | + | 9.83791i | 1.86669 | + | 0.651531i | ||||
\(229\) | 5.91992 | + | 7.05508i | 0.391199 | + | 0.466213i | 0.925316 | − | 0.379198i | \(-0.123800\pi\) |
−0.534116 | + | 0.845411i | \(0.679356\pi\) | |||||||
\(230\) | 22.8946 | + | 1.82974i | 1.50962 | + | 0.120650i | ||||
\(231\) | −7.21684 | + | 1.25931i | −0.474833 | + | 0.0828563i | ||||
\(232\) | −5.76272 | + | 13.1228i | −0.378341 | + | 0.861552i | ||||
\(233\) | 16.7671 | − | 9.68050i | 1.09845 | − | 0.634191i | 0.162637 | − | 0.986686i | \(-0.448000\pi\) |
0.935814 | + | 0.352495i | \(0.114667\pi\) | |||||||
\(234\) | −8.75755 | + | 8.82722i | −0.572499 | + | 0.577053i | ||||
\(235\) | 1.92599 | − | 3.33590i | 0.125637 | − | 0.217610i | ||||
\(236\) | −0.235058 | + | 1.46118i | −0.0153010 | + | 0.0951150i | ||||
\(237\) | −13.8677 | − | 11.6784i | −0.900804 | − | 0.758596i | ||||
\(238\) | 5.99319 | + | 12.6042i | 0.388481 | + | 0.817012i | ||||
\(239\) | −0.803749 | − | 4.55829i | −0.0519902 | − | 0.294851i | 0.947715 | − | 0.319117i | \(-0.103386\pi\) |
−0.999706 | + | 0.0242659i | \(0.992275\pi\) | |||||||
\(240\) | 0.516397 | + | 18.2514i | 0.0333333 | + | 1.17812i | ||||
\(241\) | 21.1035 | + | 17.7079i | 1.35939 | + | 1.14067i | 0.976169 | + | 0.217012i | \(0.0696312\pi\) |
0.383226 | + | 0.923655i | \(0.374813\pi\) | |||||||
\(242\) | 8.41406 | + | 8.28853i | 0.540876 | + | 0.532807i | ||||
\(243\) | 0.138482 | − | 15.5878i | 0.00888363 | − | 0.999961i | ||||
\(244\) | 22.5784 | − | 0.339410i | 1.44544 | − | 0.0217285i | ||||
\(245\) | 0.495297 | + | 0.415604i | 0.0316434 | + | 0.0265519i | ||||
\(246\) | −12.0116 | − | 11.8746i | −0.765835 | − | 0.757095i | ||||
\(247\) | −24.8743 | + | 4.38601i | −1.58271 | + | 0.279075i | ||||
\(248\) | −4.54543 | − | 9.20027i | −0.288635 | − | 0.584218i | ||||
\(249\) | −15.2450 | − | 12.8383i | −0.966115 | − | 0.813596i | ||||
\(250\) | −9.27629 | + | 6.59978i | −0.586684 | + | 0.417407i | ||||
\(251\) | −12.0234 | − | 6.94172i | −0.758911 | − | 0.438158i | 0.0699933 | − | 0.997547i | \(-0.477702\pi\) |
−0.828905 | + | 0.559390i | \(0.811036\pi\) | |||||||
\(252\) | −15.5928 | + | 0.178980i | −0.982255 | + | 0.0112747i | ||||
\(253\) | −8.68518 | + | 5.01439i | −0.546033 | + | 0.315252i | ||||
\(254\) | −10.7241 | + | 23.4565i | −0.672888 | + | 1.47179i | ||||
\(255\) | −2.97950 | − | 17.0749i | −0.186583 | − | 1.06927i | ||||
\(256\) | 11.6166 | − | 11.0025i | 0.726036 | − | 0.687657i | ||||
\(257\) | −1.09064 | − | 1.29978i | −0.0680325 | − | 0.0810779i | 0.730955 | − | 0.682426i | \(-0.239075\pi\) |
−0.798987 | + | 0.601348i | \(0.794631\pi\) | |||||||
\(258\) | −8.90162 | + | 4.21326i | −0.554191 | + | 0.262306i | ||||
\(259\) | −18.0534 | + | 6.57089i | −1.12178 | + | 0.408295i | ||||
\(260\) | −7.92415 | − | 13.2606i | −0.491435 | − | 0.822390i | ||||
\(261\) | 11.6104 | + | 9.81281i | 0.718666 | + | 0.607398i | ||||
\(262\) | 1.56854 | + | 5.68268i | 0.0969046 | + | 0.351077i | ||||
\(263\) | 0.720517 | − | 4.08625i | 0.0444290 | − | 0.251969i | −0.954502 | − | 0.298206i | \(-0.903612\pi\) |
0.998931 | + | 0.0462368i | \(0.0147229\pi\) | |||||||
\(264\) | −4.70758 | − | 6.43444i | −0.289732 | − | 0.396012i | ||||
\(265\) | 0.448210 | + | 0.163135i | 0.0275333 | + | 0.0100213i | ||||
\(266\) | −26.0831 | − | 17.9730i | −1.59926 | − | 1.10199i | ||||
\(267\) | −0.211909 | + | 0.365536i | −0.0129686 | + | 0.0223704i | ||||
\(268\) | 17.3296 | − | 21.2946i | 1.05858 | − | 1.30078i | ||||
\(269\) | 31.4461 | 1.91730 | 0.958650 | − | 0.284588i | \(-0.0918567\pi\) | ||||
0.958650 | + | 0.284588i | \(0.0918567\pi\) | |||||||
\(270\) | 18.7173 | + | 4.97147i | 1.13910 | + | 0.302554i | ||||
\(271\) | 28.1714i | 1.71129i | 0.517564 | + | 0.855644i | \(0.326839\pi\) | ||||
−0.517564 | + | 0.855644i | \(0.673161\pi\) | |||||||
\(272\) | −9.40898 | + | 11.9234i | −0.570503 | + | 0.722965i | ||||
\(273\) | 11.4374 | − | 6.57631i | 0.692222 | − | 0.398016i | ||||
\(274\) | −18.5621 | − | 12.7905i | −1.12137 | − | 0.772701i | ||||
\(275\) | −1.08285 | + | 2.97510i | −0.0652981 | + | 0.179405i | ||||
\(276\) | −19.9613 | + | 7.56641i | −1.20153 | + | 0.455444i | ||||
\(277\) | −24.3185 | − | 4.28801i | −1.46116 | − | 0.257641i | −0.614136 | − | 0.789201i | \(-0.710495\pi\) |
−0.847021 | + | 0.531559i | \(0.821606\pi\) | |||||||
\(278\) | 3.23142 | − | 0.891939i | 0.193808 | − | 0.0534949i | ||||
\(279\) | −10.7256 | + | 1.85195i | −0.642127 | + | 0.110873i | ||||
\(280\) | 4.59094 | − | 18.8212i | 0.274361 | − | 1.12478i | ||||
\(281\) | −6.58678 | − | 18.0970i | −0.392935 | − | 1.07958i | −0.965655 | − | 0.259828i | \(-0.916334\pi\) |
0.572720 | − | 0.819751i | \(-0.305888\pi\) | |||||||
\(282\) | −0.291563 | + | 3.56832i | −0.0173623 | + | 0.212490i | ||||
\(283\) | 6.85978 | − | 5.75604i | 0.407772 | − | 0.342161i | −0.415717 | − | 0.909494i | \(-0.636469\pi\) |
0.823488 | + | 0.567333i | \(0.192025\pi\) | |||||||
\(284\) | 6.73210 | + | 7.78239i | 0.399477 | + | 0.461800i | ||||
\(285\) | 25.2329 | + | 30.1801i | 1.49467 | + | 1.78772i | ||||
\(286\) | 6.13457 | + | 2.80466i | 0.362745 | + | 0.165843i | ||||
\(287\) | 8.96057 | + | 15.5202i | 0.528926 | + | 0.916126i | ||||
\(288\) | −7.69114 | − | 15.1277i | −0.453205 | − | 0.891406i | ||||
\(289\) | −1.29071 | + | 2.23558i | −0.0759243 | + | 0.131505i | ||||
\(290\) | −15.3885 | + | 10.9484i | −0.903646 | + | 0.642915i | ||||
\(291\) | −1.22607 | − | 3.38733i | −0.0718738 | − | 0.198569i | ||||
\(292\) | 3.44684 | − | 9.93214i | 0.201711 | − | 0.581234i | ||||
\(293\) | −3.69497 | − | 20.9552i | −0.215863 | − | 1.22422i | −0.879403 | − | 0.476078i | \(-0.842058\pi\) |
0.663540 | − | 0.748140i | \(-0.269053\pi\) | |||||||
\(294\) | −0.581355 | − | 0.152203i | −0.0339053 | − | 0.00887667i | ||||
\(295\) | −1.25355 | + | 1.49392i | −0.0729843 | + | 0.0869793i | ||||
\(296\) | −15.1138 | − | 14.4472i | −0.878475 | − | 0.839728i | ||||
\(297\) | −7.96161 | + | 2.84982i | −0.461979 | + | 0.165363i | ||||
\(298\) | −16.1013 | − | 15.8610i | −0.932721 | − | 0.918805i | ||||
\(299\) | 11.6093 | − | 13.8354i | 0.671384 | − | 0.800125i | ||||
\(300\) | −3.29195 | + | 5.88047i | −0.190061 | + | 0.339509i | ||||
\(301\) | 10.2906 | − | 1.81452i | 0.593142 | − | 0.104587i | ||||
\(302\) | 3.01130 | − | 1.43184i | 0.173281 | − | 0.0823933i | ||||
\(303\) | −30.4232 | − | 5.42019i | −1.74777 | − | 0.311382i | ||||
\(304\) | 4.96291 | − | 34.1132i | 0.284643 | − | 1.95653i | ||||
\(305\) | 25.7687 | + | 14.8776i | 1.47551 | + | 0.851888i | ||||
\(306\) | 9.29257 | + | 13.1599i | 0.531221 | + | 0.752300i | ||||
\(307\) | 4.48896 | + | 7.77511i | 0.256199 | + | 0.443749i | 0.965220 | − | 0.261438i | \(-0.0841966\pi\) |
−0.709022 | + | 0.705187i | \(0.750863\pi\) | |||||||
\(308\) | 3.01237 | + | 7.90467i | 0.171646 | + | 0.450410i | ||||
\(309\) | −20.4162 | − | 7.47200i | −1.16144 | − | 0.425067i | ||||
\(310\) | 1.07726 | − | 13.4792i | 0.0611843 | − | 0.765566i | ||||
\(311\) | −13.0417 | + | 10.9433i | −0.739525 | + | 0.620535i | −0.932710 | − | 0.360627i | \(-0.882563\pi\) |
0.193185 | + | 0.981162i | \(0.438118\pi\) | |||||||
\(312\) | 11.9299 | + | 7.98937i | 0.675397 | + | 0.452309i | ||||
\(313\) | −9.04413 | + | 3.29179i | −0.511204 | + | 0.186063i | −0.584727 | − | 0.811230i | \(-0.698798\pi\) |
0.0735224 | + | 0.997294i | \(0.476576\pi\) | |||||||
\(314\) | −1.13673 | − | 0.295447i | −0.0641494 | − | 0.0166731i | ||||
\(315\) | −17.7586 | − | 10.3373i | −1.00058 | − | 0.582438i | ||||
\(316\) | −10.1937 | + | 18.2853i | −0.573441 | + | 1.02863i | ||||
\(317\) | −1.05306 | + | 5.97220i | −0.0591457 | + | 0.335432i | −0.999994 | − | 0.00339548i | \(-0.998919\pi\) |
0.940849 | + | 0.338827i | \(0.110030\pi\) | |||||||
\(318\) | −0.441408 | + | 0.0411721i | −0.0247529 | + | 0.00230882i | ||||
\(319\) | 2.82047 | − | 7.74917i | 0.157916 | − | 0.433870i | ||||
\(320\) | 20.5769 | − | 4.59334i | 1.15028 | − | 0.256775i | ||||
\(321\) | −18.9478 | − | 0.0336656i | −1.05756 | − | 0.00187903i | ||||
\(322\) | 22.5483 | − | 2.14360i | 1.25657 | − | 0.119458i | ||||
\(323\) | 32.7244i | 1.82083i | ||||||||
\(324\) | −17.7012 | + | 3.26604i | −0.983401 | + | 0.181447i | ||||
\(325\) | − | 5.70173i | − | 0.316275i | ||||||
\(326\) | −1.50782 | − | 15.8607i | −0.0835107 | − | 0.878440i | ||||
\(327\) | 11.0085 | + | 0.0195594i | 0.608771 | + | 0.00108164i | ||||
\(328\) | −10.8236 | + | 16.2243i | −0.597635 | + | 0.895839i | ||||
\(329\) | 1.29923 | − | 3.56961i | 0.0716290 | − | 0.196799i | ||||
\(330\) | −0.975674 | − | 10.4603i | −0.0537091 | − | 0.575818i | ||||
\(331\) | 0.638218 | − | 3.61951i | 0.0350796 | − | 0.198946i | −0.962231 | − | 0.272233i | \(-0.912238\pi\) |
0.997311 | + | 0.0732869i | \(0.0233489\pi\) | |||||||
\(332\) | −11.2061 | + | 20.1014i | −0.615017 | + | 1.10321i | ||||
\(333\) | −19.2446 | + | 11.0199i | −1.05460 | + | 0.603887i | ||||
\(334\) | −6.21599 | + | 23.9159i | −0.340124 | + | 1.30862i | ||||
\(335\) | 33.9960 | − | 12.3735i | 1.85740 | − | 0.676037i | ||||
\(336\) | 3.62701 | + | 17.6371i | 0.197870 | + | 0.962185i | ||||
\(337\) | 14.8826 | − | 12.4880i | 0.810707 | − | 0.680264i | −0.140070 | − | 0.990142i | \(-0.544733\pi\) |
0.950776 | + | 0.309878i | \(0.100288\pi\) | |||||||
\(338\) | 6.21730 | + | 0.496888i | 0.338176 | + | 0.0270272i | ||||
\(339\) | 5.73936 | + | 2.10051i | 0.311719 | + | 0.114084i | ||||
\(340\) | −18.7023 | + | 7.12722i | −1.01427 | + | 0.386528i | ||||
\(341\) | 2.95222 | + | 5.11340i | 0.159872 | + | 0.276906i | ||||
\(342\) | −33.1987 | − | 15.3209i | −1.79518 | − | 0.828462i | ||||
\(343\) | 16.3076 | + | 9.41522i | 0.880530 | + | 0.508374i | ||||
\(344\) | 6.73102 | + | 9.16591i | 0.362912 | + | 0.494193i | ||||
\(345\) | −27.6934 | − | 4.93384i | −1.49096 | − | 0.265629i | ||||
\(346\) | −11.2961 | − | 23.7567i | −0.607280 | − | 1.27717i | ||||
\(347\) | 14.8923 | − | 2.62591i | 0.799458 | − | 0.140966i | 0.241029 | − | 0.970518i | \(-0.422515\pi\) |
0.558430 | + | 0.829552i | \(0.311404\pi\) | |||||||
\(348\) | 8.57447 | − | 15.3167i | 0.459640 | − | 0.821063i | ||||
\(349\) | 14.4505 | − | 17.2214i | 0.773518 | − | 0.921843i | −0.225104 | − | 0.974335i | \(-0.572272\pi\) |
0.998621 | + | 0.0524923i | \(0.0167165\pi\) | |||||||
\(350\) | 5.01800 | − | 5.09400i | 0.268223 | − | 0.272286i | ||||
\(351\) | 11.7181 | − | 9.72667i | 0.625465 | − | 0.519171i | ||||
\(352\) | −6.26049 | + | 6.74962i | −0.333685 | + | 0.359756i | ||||
\(353\) | −13.4020 | + | 15.9719i | −0.713316 | + | 0.850096i | −0.993963 | − | 0.109715i | \(-0.965006\pi\) |
0.280648 | + | 0.959811i | \(0.409451\pi\) | |||||||
\(354\) | 0.459076 | − | 1.75349i | 0.0243996 | − | 0.0931968i | ||||
\(355\) | 2.35457 | + | 13.3534i | 0.124967 | + | 0.708725i | ||||
\(356\) | 0.460916 | + | 0.159956i | 0.0244285 | + | 0.00847764i | ||||
\(357\) | −5.81767 | − | 16.0727i | −0.307904 | − | 0.850659i | ||||
\(358\) | −5.80926 | − | 8.16517i | −0.307029 | − | 0.431543i | ||||
\(359\) | 5.43854 | − | 9.41983i | 0.287035 | − | 0.497159i | −0.686066 | − | 0.727540i | \(-0.740664\pi\) |
0.973101 | + | 0.230380i | \(0.0739970\pi\) | |||||||
\(360\) | 1.52555 | − | 22.3102i | 0.0804037 | − | 1.17585i | ||||
\(361\) | −27.6356 | − | 47.8663i | −1.45451 | − | 2.51928i | ||||
\(362\) | −0.0881737 | + | 0.192860i | −0.00463431 | + | 0.0101365i | ||||
\(363\) | −9.27839 | − | 11.0975i | −0.486989 | − | 0.582470i | ||||
\(364\) | −9.96668 | − | 11.5216i | −0.522396 | − | 0.603896i | ||||
\(365\) | 10.6123 | − | 8.90479i | 0.555474 | − | 0.466098i | ||||
\(366\) | −27.5641 | − | 2.25222i | −1.44080 | − | 0.117726i | ||||
\(367\) | 3.96735 | + | 10.9002i | 0.207094 | + | 0.568985i | 0.999139 | − | 0.0414764i | \(-0.0132061\pi\) |
−0.792046 | + | 0.610462i | \(0.790984\pi\) | |||||||
\(368\) | 12.9609 | + | 20.9671i | 0.675634 | + | 1.09299i | ||||
\(369\) | 13.2406 | + | 15.8939i | 0.689277 | + | 0.827401i | ||||
\(370\) | −7.33050 | − | 26.5578i | −0.381094 | − | 1.38067i | ||||
\(371\) | 0.463232 | + | 0.0816804i | 0.0240498 | + | 0.00424063i | ||||
\(372\) | 4.45472 | + | 11.7522i | 0.230967 | + | 0.609323i | ||||
\(373\) | 1.65913 | − | 4.55843i | 0.0859066 | − | 0.236027i | −0.889299 | − | 0.457326i | \(-0.848807\pi\) |
0.975206 | + | 0.221299i | \(0.0710297\pi\) | |||||||
\(374\) | 4.95868 | − | 7.19624i | 0.256407 | − | 0.372109i | ||||
\(375\) | 12.0874 | − | 6.95008i | 0.624193 | − | 0.358901i | ||||
\(376\) | 4.10917 | − | 0.453065i | 0.211914 | − | 0.0233650i | ||||
\(377\) | 14.8512i | 0.764874i | ||||||||
\(378\) | 19.0294 | + | 1.62296i | 0.978766 | + | 0.0834760i | ||||
\(379\) | 31.5863 | 1.62248 | 0.811238 | − | 0.584715i | \(-0.198794\pi\) | ||||
0.811238 | + | 0.584715i | \(0.198794\pi\) | |||||||
\(380\) | 28.6720 | − | 35.2321i | 1.47084 | − | 1.80737i | ||||
\(381\) | 15.8427 | − | 27.3282i | 0.811648 | − | 1.40006i | ||||
\(382\) | 8.77218 | − | 12.7305i | 0.448824 | − | 0.651351i | ||||
\(383\) | −5.33286 | − | 1.94100i | −0.272496 | − | 0.0991805i | 0.202158 | − | 0.979353i | \(-0.435205\pi\) |
−0.474654 | + | 0.880172i | \(0.657427\pi\) | |||||||
\(384\) | −15.4602 | + | 12.0409i | −0.788950 | + | 0.614458i | ||||
\(385\) | −1.93562 | + | 10.9774i | −0.0986482 | + | 0.559462i | ||||
\(386\) | −3.99593 | + | 1.10296i | −0.203387 | + | 0.0561392i | ||||
\(387\) | 11.3489 | − | 4.08506i | 0.576898 | − | 0.207655i | ||||
\(388\) | −3.57072 | + | 2.13375i | −0.181276 | + | 0.108325i | ||||
\(389\) | −7.70166 | + | 2.80317i | −0.390490 | + | 0.142127i | −0.529801 | − | 0.848122i | \(-0.677733\pi\) |
0.139311 | + | 0.990249i | \(0.455511\pi\) | |||||||
\(390\) | 8.09408 | + | 17.1009i | 0.409860 | + | 0.865938i | ||||
\(391\) | −15.0411 | − | 17.9253i | −0.760660 | − | 0.906520i | ||||
\(392\) | −0.0448785 | + | 0.692464i | −0.00226671 | + | 0.0349747i | ||||
\(393\) | −1.24112 | − | 7.11262i | −0.0626063 | − | 0.358784i | ||||
\(394\) | 3.61760 | + | 1.65393i | 0.182252 | + | 0.0833237i | ||||
\(395\) | −23.8902 | + | 13.7930i | −1.20204 | + | 0.694001i | ||||
\(396\) | 4.97897 | + | 8.39969i | 0.250203 | + | 0.422100i | ||||
\(397\) | −25.2112 | − | 14.5557i | −1.26532 | − | 0.730531i | −0.291218 | − | 0.956657i | \(-0.594061\pi\) |
−0.974098 | + | 0.226126i | \(0.927394\pi\) | |||||||
\(398\) | 0.827727 | + | 1.16341i | 0.0414902 | + | 0.0583164i | ||||
\(399\) | 29.6741 | + | 24.9895i | 1.48556 | + | 1.25104i | ||||
\(400\) | 7.38915 | + | 2.44052i | 0.369458 | + | 0.122026i | ||||
\(401\) | 13.6729 | − | 2.41090i | 0.682792 | − | 0.120395i | 0.178516 | − | 0.983937i | \(-0.442870\pi\) |
0.504276 | + | 0.863542i | \(0.331759\pi\) | |||||||
\(402\) | −23.6399 | + | 23.9128i | −1.17905 | + | 1.19266i | ||||
\(403\) | −8.14562 | − | 6.83498i | −0.405762 | − | 0.340475i | ||||
\(404\) | 0.536342 | + | 35.6789i | 0.0266840 | + | 1.77509i | ||||
\(405\) | −22.2301 | − | 8.27050i | −1.10462 | − | 0.410964i | ||||
\(406\) | −13.0703 | + | 13.2682i | −0.648667 | + | 0.658492i | ||||
\(407\) | 9.21557 | + | 7.73278i | 0.456799 | + | 0.383300i | ||||
\(408\) | 12.8778 | − | 13.4242i | 0.637546 | − | 0.664595i | ||||
\(409\) | −2.85854 | − | 16.2116i | −0.141346 | − | 0.801613i | −0.970229 | − | 0.242190i | \(-0.922134\pi\) |
0.828883 | − | 0.559422i | \(-0.188977\pi\) | |||||||
\(410\) | −23.2096 | + | 11.0359i | −1.14624 | + | 0.545025i | ||||
\(411\) | 21.1176 | + | 17.7838i | 1.04166 | + | 0.877212i | ||||
\(412\) | −3.98715 | + | 24.7852i | −0.196433 | + | 1.22108i | ||||
\(413\) | −0.961601 | + | 1.66554i | −0.0473173 | + | 0.0819559i | ||||
\(414\) | 25.2270 | − | 6.86680i | 1.23984 | − | 0.337485i | ||||
\(415\) | −26.2629 | + | 15.1629i | −1.28920 | + | 0.744318i | ||||
\(416\) | 6.43721 | − | 15.2785i | 0.315610 | − | 0.749090i | ||||
\(417\) | −4.04454 | + | 0.705755i | −0.198062 | + | 0.0345610i | ||||
\(418\) | −1.58015 | + | 19.7715i | −0.0772875 | + | 0.967057i | ||||
\(419\) | 10.4296 | + | 12.4295i | 0.509520 | + | 0.607223i | 0.958070 | − | 0.286535i | \(-0.0925036\pi\) |
−0.448549 | + | 0.893758i | \(0.648059\pi\) | |||||||
\(420\) | −7.81887 | + | 22.4017i | −0.381522 | + | 1.09309i | ||||
\(421\) | 0.181389 | + | 0.498362i | 0.00884036 | + | 0.0242887i | 0.944034 | − | 0.329847i | \(-0.106997\pi\) |
−0.935194 | + | 0.354136i | \(0.884775\pi\) | |||||||
\(422\) | 1.50826 | − | 5.80300i | 0.0734208 | − | 0.282485i | ||||
\(423\) | 0.776761 | − | 4.31550i | 0.0377674 | − | 0.209827i | ||||
\(424\) | 0.143605 | + | 0.491351i | 0.00697409 | + | 0.0238621i | ||||
\(425\) | −7.27495 | − | 1.28277i | −0.352887 | − | 0.0622235i | ||||
\(426\) | −7.28779 | − | 10.2819i | −0.353094 | − | 0.498162i | ||||
\(427\) | 27.5740 | + | 10.0361i | 1.33440 | + | 0.485682i | ||||
\(428\) | 4.12270 | + | 21.4872i | 0.199278 | + | 1.03862i | ||||
\(429\) | −7.14712 | − | 4.14334i | −0.345066 | − | 0.200042i | ||||
\(430\) | 1.41817 | + | 14.9176i | 0.0683905 | + | 0.719392i | ||||
\(431\) | −12.2920 | −0.592084 | −0.296042 | − | 0.955175i | \(-0.595667\pi\) | ||||
−0.296042 | + | 0.955175i | \(0.595667\pi\) | |||||||
\(432\) | 7.58959 | + | 19.3494i | 0.365154 | + | 0.930947i | ||||
\(433\) | 14.6907 | 0.705991 | 0.352996 | − | 0.935625i | \(-0.385163\pi\) | ||||
0.352996 | + | 0.935625i | \(0.385163\pi\) | |||||||
\(434\) | −1.26204 | − | 13.2753i | −0.0605800 | − | 0.637235i | ||||
\(435\) | 20.0520 | − | 11.5296i | 0.961420 | − | 0.552801i | ||||
\(436\) | −2.39525 | − | 12.4838i | −0.114712 | − | 0.597867i | ||||
\(437\) | 49.9053 | + | 18.1640i | 2.38729 | + | 0.868904i | ||||
\(438\) | −5.37458 | + | 11.7007i | −0.256807 | + | 0.559080i | ||||
\(439\) | 28.8488 | + | 5.08682i | 1.37688 | + | 0.242781i | 0.812609 | − | 0.582810i | \(-0.198047\pi\) |
0.564270 | + | 0.825591i | \(0.309158\pi\) | |||||||
\(440\) | −11.6438 | + | 3.40308i | −0.555095 | + | 0.162235i | ||||
\(441\) | 0.690724 | + | 0.254186i | 0.0328916 | + | 0.0121041i | ||||
\(442\) | −3.95907 | + | 15.2325i | −0.188314 | + | 0.724534i | ||||
\(443\) | −11.6096 | − | 31.8970i | −0.551588 | − | 1.51547i | −0.831543 | − | 0.555461i | \(-0.812542\pi\) |
0.279955 | − | 0.960013i | \(-0.409680\pi\) | |||||||
\(444\) | 16.7185 | + | 19.3963i | 0.793425 | + | 0.920509i | ||||
\(445\) | 0.413240 | + | 0.492480i | 0.0195895 | + | 0.0233458i | ||||
\(446\) | 1.80119 | − | 22.5373i | 0.0852887 | − | 1.06717i | ||||
\(447\) | 17.7553 | + | 21.2364i | 0.839795 | + | 1.00445i | ||||
\(448\) | 19.1975 | − | 7.98473i | 0.906995 | − | 0.377243i | ||||
\(449\) | −15.4011 | + | 8.89184i | −0.726823 | + | 0.419632i | −0.817259 | − | 0.576271i | \(-0.804507\pi\) |
0.0904355 | + | 0.995902i | \(0.471174\pi\) | |||||||
\(450\) | 4.70736 | − | 6.77982i | 0.221907 | − | 0.319604i | ||||
\(451\) | 5.61089 | − | 9.71834i | 0.264206 | − | 0.457619i | ||||
\(452\) | 1.12086 | − | 6.96756i | 0.0527207 | − | 0.327726i | ||||
\(453\) | −3.83996 | + | 1.38991i | −0.180417 | + | 0.0653037i | ||||
\(454\) | −2.19589 | + | 1.04412i | −0.103058 | + | 0.0490031i | ||||
\(455\) | −3.48587 | − | 19.7693i | −0.163420 | − | 0.926800i | ||||
\(456\) | −10.0779 | + | 40.9993i | −0.471943 | + | 1.91997i | ||||
\(457\) | 9.21939 | + | 7.73598i | 0.431265 | + | 0.361874i | 0.832429 | − | 0.554132i | \(-0.186950\pi\) |
−0.401164 | + | 0.916006i | \(0.631394\pi\) | |||||||
\(458\) | −9.14028 | + | 9.27871i | −0.427097 | + | 0.433566i | ||||
\(459\) | −9.77414 | − | 17.1397i | −0.456218 | − | 0.800010i | ||||
\(460\) | 0.488216 | + | 32.4774i | 0.0227632 | + | 1.51427i | ||||
\(461\) | −12.6139 | − | 10.5843i | −0.587487 | − | 0.492960i | 0.299909 | − | 0.953968i | \(-0.403044\pi\) |
−0.887396 | + | 0.461008i | \(0.847488\pi\) | |||||||
\(462\) | −2.73885 | − | 9.99179i | −0.127423 | − | 0.464860i | ||||
\(463\) | 3.83957 | − | 0.677019i | 0.178440 | − | 0.0314638i | −0.0837142 | − | 0.996490i | \(-0.526678\pi\) |
0.262154 | + | 0.965026i | \(0.415567\pi\) | |||||||
\(464\) | −19.2464 | − | 6.35676i | −0.893491 | − | 0.295105i | ||||
\(465\) | −2.90480 | + | 16.3045i | −0.134707 | + | 0.756101i | ||||
\(466\) | 15.8730 | + | 22.3102i | 0.735302 | + | 1.03350i | ||||
\(467\) | −8.38005 | − | 4.83822i | −0.387782 | − | 0.223886i | 0.293416 | − | 0.955985i | \(-0.405208\pi\) |
−0.681199 | + | 0.732098i | \(0.738541\pi\) | |||||||
\(468\) | −13.5997 | − | 11.1480i | −0.628645 | − | 0.515316i | ||||
\(469\) | 30.8975 | − | 17.8387i | 1.42672 | − | 0.823715i | ||||
\(470\) | 4.95428 | + | 2.26505i | 0.228524 | + | 0.104479i | ||||
\(471\) | 1.35083 | + | 0.494383i | 0.0622431 | + | 0.0227800i | ||||
\(472\) | −2.08861 | − | 0.135363i | −0.0961362 | − | 0.00623058i | ||||
\(473\) | −4.20585 | − | 5.01234i | −0.193385 | − | 0.230468i | ||||
\(474\) | 14.5856 | − | 21.0869i | 0.669939 | − | 0.968555i | ||||
\(475\) | 15.7548 | − | 5.73429i | 0.722881 | − | 0.263107i | ||||
\(476\) | −16.9429 | + | 10.1246i | −0.776579 | + | 0.464059i | ||||
\(477\) | 0.542955 | + | 0.00192940i | 0.0248602 | + | 8.83411e-5i | ||||
\(478\) | 6.30988 | − | 1.74166i | 0.288607 | − | 0.0796616i | ||||
\(479\) | 0.352574 | − | 1.99955i | 0.0161095 | − | 0.0913616i | −0.975693 | − | 0.219142i | \(-0.929674\pi\) |
0.991802 | + | 0.127780i | \(0.0407853\pi\) | |||||||
\(480\) | −25.6264 | + | 3.16982i | −1.16968 | + | 0.144682i | ||||
\(481\) | −20.3585 | − | 7.40988i | −0.928266 | − | 0.337861i | ||||
\(482\) | −22.1059 | + | 32.0809i | −1.00689 | + | 1.46125i | ||||
\(483\) | −27.7404 | − | 0.0492878i | −1.26223 | − | 0.00224267i | ||||
\(484\) | −10.5430 | + | 12.9552i | −0.479226 | + | 0.588874i | ||||
\(485\) | −5.48126 | −0.248891 | ||||||||
\(486\) | 21.9641 | − | 1.89134i | 0.996313 | − | 0.0857928i | ||||
\(487\) | − | 7.67766i | − | 0.347908i | −0.984754 | − | 0.173954i | \(-0.944346\pi\) | ||
0.984754 | − | 0.173954i | \(-0.0556544\pi\) | |||||||
\(488\) | 3.49977 | + | 31.7420i | 0.158427 | + | 1.43689i | ||||
\(489\) | −0.0346694 | + | 19.5128i | −0.00156780 | + | 0.882399i | ||||
\(490\) | −0.518823 | + | 0.752937i | −0.0234380 | + | 0.0340142i | ||||
\(491\) | 6.23136 | − | 17.1205i | 0.281217 | − | 0.772638i | −0.716001 | − | 0.698100i | \(-0.754029\pi\) |
0.997218 | − | 0.0745389i | \(-0.0237485\pi\) | |||||||
\(492\) | 15.1101 | − | 18.5001i | 0.681218 | − | 0.834049i | ||||
\(493\) | 18.9489 | + | 3.34121i | 0.853417 | + | 0.150480i | ||||
\(494\) | −9.50412 | − | 34.4326i | −0.427611 | − | 1.54920i | ||||
\(495\) | −0.0457219 | + | 12.8667i | −0.00205505 | + | 0.578314i | ||||
\(496\) | 12.3444 | − | 7.63073i | 0.554279 | − | 0.342630i | ||||
\(497\) | 4.57346 | + | 12.5655i | 0.205148 | + | 0.563638i | ||||
\(498\) | 16.0342 | − | 23.1813i | 0.718511 | − | 1.03878i | ||||
\(499\) | −0.594620 | + | 0.498945i | −0.0266189 | + | 0.0223359i | −0.656000 | − | 0.754761i | \(-0.727753\pi\) |
0.629381 | + | 0.777097i | \(0.283308\pi\) | |||||||
\(500\) | −10.5332 | − | 12.1764i | −0.471057 | − | 0.544547i | ||||
\(501\) | 10.4014 | − | 28.4205i | 0.464702 | − | 1.26973i | ||||
\(502\) | 8.16378 | − | 17.8565i | 0.364367 | − | 0.796972i | ||||
\(503\) | −16.6264 | − | 28.7978i | −0.741335 | − | 1.28403i | −0.951887 | − | 0.306448i | \(-0.900859\pi\) |
0.210552 | − | 0.977583i | \(-0.432474\pi\) | |||||||
\(504\) | −2.33895 | − | 21.9286i | −0.104185 | − | 0.976779i | ||||
\(505\) | −23.5098 | + | 40.7203i | −1.04617 | + | 1.81203i | ||||
\(506\) | −8.22203 | − | 11.5564i | −0.365514 | − | 0.513746i | ||||
\(507\) | −7.52046 | − | 1.33984i | −0.333995 | − | 0.0595045i | ||||
\(508\) | −34.4590 | − | 11.9586i | −1.52887 | − | 0.530577i | ||||
\(509\) | −5.59821 | − | 31.7490i | −0.248136 | − | 1.40725i | −0.813095 | − | 0.582132i | \(-0.802219\pi\) |
0.564958 | − | 0.825119i | \(-0.308892\pi\) | |||||||
\(510\) | 23.6404 | − | 6.48006i | 1.04681 | − | 0.286942i | ||||
\(511\) | 8.78164 | − | 10.4655i | 0.388477 | − | 0.462969i | ||||
\(512\) | 17.0448 | + | 14.8820i | 0.753283 | + | 0.657697i | ||||
\(513\) | 38.6614 | + | 22.5968i | 1.70694 | + | 0.997674i | ||||
\(514\) | 1.68394 | − | 1.70944i | 0.0742754 | − | 0.0754003i | ||||
\(515\) | −21.2631 | + | 25.3404i | −0.936966 | + | 1.11663i | ||||
\(516\) | −7.12311 | − | 11.9684i | −0.313577 | − | 0.526879i | ||||
\(517\) | −2.34251 | + | 0.413048i | −0.103024 | + | 0.0181658i | ||||
\(518\) | −11.6672 | − | 24.5373i | −0.512628 | − | 1.07811i | ||||
\(519\) | 10.9653 | + | 30.2942i | 0.481321 | + | 1.32977i | ||||
\(520\) | 17.6086 | − | 12.9310i | 0.772189 | − | 0.567060i | ||||
\(521\) | −27.9816 | − | 16.1552i | −1.22590 | − | 0.707773i | −0.259729 | − | 0.965682i | \(-0.583633\pi\) |
−0.966169 | + | 0.257909i | \(0.916966\pi\) | |||||||
\(522\) | −12.2612 | + | 17.6593i | −0.536656 | + | 0.772925i | ||||
\(523\) | −1.25831 | − | 2.17946i | −0.0550222 | − | 0.0953012i | 0.837202 | − | 0.546893i | \(-0.184190\pi\) |
−0.892225 | + | 0.451592i | \(0.850856\pi\) | |||||||
\(524\) | −7.79052 | + | 2.96887i | −0.340330 | + | 0.129696i | ||||
\(525\) | −6.71862 | + | 5.61728i | −0.293225 | + | 0.245158i | ||||
\(526\) | 5.84933 | + | 0.467480i | 0.255043 | + | 0.0203831i | ||||
\(527\) | −10.5535 | + | 8.85544i | −0.459718 | + | 0.385749i | ||||
\(528\) | 8.42876 | − | 7.48884i | 0.366815 | − | 0.325910i | ||||
\(529\) | −14.0722 | + | 5.12185i | −0.611833 | + | 0.222689i | ||||
\(530\) | −0.169683 | + | 0.652853i | −0.00737056 | + | 0.0283581i | ||||
\(531\) | −0.766678 | + | 2.08336i | −0.0332710 | + | 0.0904103i | ||||
\(532\) | 21.8125 | − | 39.1270i | 0.945692 | − | 1.69637i | ||||
\(533\) | −3.50932 | + | 19.9023i | −0.152005 | + | 0.862066i | ||||
\(534\) | −0.542988 | − | 0.249416i | −0.0234974 | − | 0.0107933i | ||||
\(535\) | −9.86054 | + | 27.0916i | −0.426308 | + | 1.17127i | ||||
\(536\) | 32.2994 | + | 21.5477i | 1.39512 | + | 0.930718i | ||||
\(537\) | 6.11760 | + | 10.6396i | 0.263994 | + | 0.459133i | ||||
\(538\) | 4.20879 | + | 44.2718i | 0.181454 | + | 1.90869i | ||||
\(539\) | − | 0.399264i | − | 0.0171975i | ||||||
\(540\) | −4.49401 | + | 27.0169i | −0.193392 | + | 1.16262i | ||||
\(541\) | 20.7984i | 0.894192i | 0.894486 | + | 0.447096i | \(0.147542\pi\) | ||||
−0.894486 | + | 0.447096i | \(0.852458\pi\) | |||||||
\(542\) | −39.6615 | + | 3.77050i | −1.70361 | + | 0.161957i | ||||
\(543\) | 0.130260 | − | 0.224693i | 0.00558997 | − | 0.00964251i | ||||
\(544\) | −18.0459 | − | 11.6507i | −0.773712 | − | 0.499521i | ||||
\(545\) | 5.72888 | − | 15.7400i | 0.245398 | − | 0.674226i | ||||
\(546\) | 10.7894 | + | 15.2221i | 0.461742 | + | 0.651446i | ||||
\(547\) | −3.11764 | + | 17.6810i | −0.133301 | + | 0.755985i | 0.842727 | + | 0.538341i | \(0.180949\pi\) |
−0.976028 | + | 0.217645i | \(0.930163\pi\) | |||||||
\(548\) | 15.5229 | − | 27.8448i | 0.663105 | − | 1.18947i | ||||
\(549\) | 33.3358 | + | 6.00021i | 1.42274 | + | 0.256083i | ||||
\(550\) | −4.33347 | − | 1.12631i | −0.184780 | − | 0.0480261i | ||||
\(551\) | −41.0363 | + | 14.9360i | −1.74820 | + | 0.636294i | ||||
\(552\) | −13.3241 | − | 27.0901i | −0.567113 | − | 1.15303i | ||||
\(553\) | −20.8398 | + | 17.4867i | −0.886200 | + | 0.743610i | ||||
\(554\) | 2.78211 | − | 34.8111i | 0.118201 | − | 1.47898i | ||||
\(555\) | 5.80032 | + | 33.2405i | 0.246210 | + | 1.41098i | ||||
\(556\) | 1.68823 | + | 4.43002i | 0.0715968 | + | 0.187875i | ||||
\(557\) | 15.8779 | + | 27.5013i | 0.672766 | + | 1.16527i | 0.977116 | + | 0.212705i | \(0.0682274\pi\) |
−0.304350 | + | 0.952560i | \(0.598439\pi\) | |||||||
\(558\) | −4.04283 | − | 14.8524i | −0.171147 | − | 0.628752i | ||||
\(559\) | 10.2049 | + | 5.89179i | 0.431621 | + | 0.249196i | ||||
\(560\) | 27.1121 | + | 3.94438i | 1.14570 | + | 0.166680i | ||||
\(561\) | −6.89453 | + | 8.18700i | −0.291087 | + | 0.345655i | ||||
\(562\) | 24.5966 | − | 11.6954i | 1.03755 | − | 0.493343i | ||||
\(563\) | 21.2510 | − | 3.74712i | 0.895621 | − | 0.157922i | 0.293153 | − | 0.956065i | \(-0.405295\pi\) |
0.602468 | + | 0.798143i | \(0.294184\pi\) | |||||||
\(564\) | −5.06274 | + | 0.0671085i | −0.213180 | + | 0.00282578i | ||||
\(565\) | 5.97745 | − | 7.12365i | 0.251473 | − | 0.299694i | ||||
\(566\) | 9.02186 | + | 8.88726i | 0.379217 | + | 0.373559i | ||||
\(567\) | −23.0060 | − | 4.22537i | −0.966159 | − | 0.177449i | ||||
\(568\) | −10.0555 | + | 10.5195i | −0.421920 | + | 0.441389i | ||||
\(569\) | 28.0024 | − | 33.3720i | 1.17392 | − | 1.39903i | 0.274701 | − | 0.961530i | \(-0.411421\pi\) |
0.899221 | − | 0.437495i | \(-0.144134\pi\) | |||||||
\(570\) | −39.1124 | + | 39.5639i | −1.63824 | + | 1.65715i | ||||
\(571\) | 5.33260 | + | 30.2427i | 0.223162 | + | 1.26562i | 0.866167 | + | 0.499754i | \(0.166576\pi\) |
−0.643005 | + | 0.765862i | \(0.722313\pi\) | |||||||
\(572\) | −3.12753 | + | 9.01203i | −0.130768 | + | 0.376812i | ||||
\(573\) | −12.1968 | + | 14.4833i | −0.509529 | + | 0.605046i | ||||
\(574\) | −20.6510 | + | 14.6925i | −0.861957 | + | 0.613254i | ||||
\(575\) | −5.99429 | + | 10.3824i | −0.249979 | + | 0.432977i | ||||
\(576\) | 20.2683 | − | 12.8528i | 0.844514 | − | 0.535533i | ||||
\(577\) | −18.5251 | − | 32.0864i | −0.771210 | − | 1.33578i | −0.936900 | − | 0.349597i | \(-0.886318\pi\) |
0.165690 | − | 0.986178i | \(-0.447015\pi\) | |||||||
\(578\) | −3.32015 | − | 1.51794i | −0.138100 | − | 0.0631379i | ||||
\(579\) | 5.00143 | − | 0.872727i | 0.207852 | − | 0.0362693i | ||||
\(580\) | −17.4736 | − | 20.1996i | −0.725551 | − | 0.838745i | ||||
\(581\) | −22.9096 | + | 19.2235i | −0.950452 | + | 0.797524i | ||||
\(582\) | 4.60480 | − | 2.17951i | 0.190875 | − | 0.0903437i | ||||
\(583\) | −0.100738 | − | 0.276776i | −0.00417216 | − | 0.0114629i | ||||
\(584\) | 14.4444 | + | 3.52335i | 0.597715 | + | 0.145797i | ||||
\(585\) | −7.84780 | − | 21.8024i | −0.324467 | − | 0.901418i | ||||
\(586\) | 29.0076 | − | 8.00671i | 1.19829 | − | 0.330754i | ||||
\(587\) | 2.18563 | + | 0.385385i | 0.0902104 | + | 0.0159065i | 0.218571 | − | 0.975821i | \(-0.429860\pi\) |
−0.128361 | + | 0.991728i | \(0.540972\pi\) | |||||||
\(588\) | 0.136472 | − | 0.838842i | 0.00562802 | − | 0.0345932i | ||||
\(589\) | 10.6941 | − | 29.3817i | 0.440642 | − | 1.21065i | ||||
\(590\) | −2.27101 | − | 1.56488i | −0.0934961 | − | 0.0644249i | ||||
\(591\) | −4.21471 | − | 2.44336i | −0.173370 | − | 0.100506i | ||||
\(592\) | 18.3169 | − | 23.2119i | 0.752820 | − | 0.954004i | ||||
\(593\) | − | 7.72015i | − | 0.317028i | −0.987357 | − | 0.158514i | \(-0.949330\pi\) | ||
0.987357 | − | 0.158514i | \(-0.0506704\pi\) | |||||||
\(594\) | −5.07776 | − | 10.8275i | −0.208343 | − | 0.444256i | ||||
\(595\) | −26.0084 | −1.06624 | ||||||||
\(596\) | 20.1752 | − | 24.7913i | 0.826408 | − | 1.01549i | ||||
\(597\) | −0.871661 | − | 1.51598i | −0.0356747 | − | 0.0620448i | ||||
\(598\) | 21.0323 | + | 14.4926i | 0.860073 | + | 0.592647i | ||||
\(599\) | 5.13051 | + | 1.86735i | 0.209627 | + | 0.0762980i | 0.444699 | − | 0.895680i | \(-0.353311\pi\) |
−0.235072 | + | 0.971978i | \(0.575533\pi\) | |||||||
\(600\) | −8.71951 | − | 3.84757i | −0.355972 | − | 0.157076i | ||||
\(601\) | 2.68385 | − | 15.2209i | 0.109477 | − | 0.620872i | −0.879861 | − | 0.475231i | \(-0.842364\pi\) |
0.989337 | − | 0.145641i | \(-0.0465245\pi\) | |||||||
\(602\) | 3.93191 | + | 14.2450i | 0.160253 | + | 0.580582i | ||||
\(603\) | 31.6415 | − | 26.3593i | 1.28854 | − | 1.07344i | ||||
\(604\) | 2.41888 | + | 4.04787i | 0.0984229 | + | 0.164705i | ||||
\(605\) | −20.6824 | + | 7.52779i | −0.840860 | + | 0.306048i | ||||
\(606\) | 3.55901 | − | 43.5573i | 0.144575 | − | 1.76939i | ||||
\(607\) | 0.0926471 | + | 0.110413i | 0.00376043 | + | 0.00448151i | 0.767921 | − | 0.640544i | \(-0.221291\pi\) |
−0.764161 | + | 0.645026i | \(0.776847\pi\) | |||||||
\(608\) | 48.6910 | + | 2.42136i | 1.97468 | + | 0.0981990i | ||||
\(609\) | 17.4999 | − | 14.6312i | 0.709130 | − | 0.592887i | ||||
\(610\) | −17.4967 | + | 38.2702i | −0.708421 | + | 1.54951i | ||||
\(611\) | 3.70982 | − | 2.14186i | 0.150083 | − | 0.0866505i | ||||
\(612\) | −17.2836 | + | 14.8440i | −0.698649 | + | 0.600034i | ||||
\(613\) | −30.3578 | − | 17.5271i | −1.22614 | − | 0.707913i | −0.259921 | − | 0.965630i | \(-0.583696\pi\) |
−0.966220 | + | 0.257717i | \(0.917030\pi\) | |||||||
\(614\) | −10.3455 | + | 7.36049i | −0.417510 | + | 0.297045i | ||||
\(615\) | 29.5965 | − | 10.7127i | 1.19345 | − | 0.431979i | ||||
\(616\) | −10.7255 | + | 5.29899i | −0.432144 | + | 0.213502i | ||||
\(617\) | 1.95314 | − | 0.344391i | 0.0786304 | − | 0.0138647i | −0.134195 | − | 0.990955i | \(-0.542845\pi\) |
0.212825 | + | 0.977090i | \(0.431734\pi\) | |||||||
\(618\) | 7.78703 | − | 29.7433i | 0.313240 | − | 1.19645i | ||||
\(619\) | 30.9839 | + | 25.9986i | 1.24535 | + | 1.04497i | 0.997087 | + | 0.0762782i | \(0.0243037\pi\) |
0.248262 | + | 0.968693i | \(0.420141\pi\) | |||||||
\(620\) | 19.1211 | − | 0.287437i | 0.767920 | − | 0.0115438i | ||||
\(621\) | −31.5635 | + | 5.39219i | −1.26660 | + | 0.216381i | ||||
\(622\) | −17.1522 | − | 16.8962i | −0.687739 | − | 0.677478i | ||||
\(623\) | 0.485670 | + | 0.407525i | 0.0194579 | + | 0.0163272i | ||||
\(624\) | −9.65125 | + | 17.8650i | −0.386359 | + | 0.715173i | ||||
\(625\) | −5.37310 | − | 30.4724i | −0.214924 | − | 1.21890i | ||||
\(626\) | −5.84488 | − | 12.2923i | −0.233608 | − | 0.491301i | ||||
\(627\) | 4.26081 | − | 23.9157i | 0.170160 | − | 0.955101i | ||||
\(628\) | 0.263809 | − | 1.63991i | 0.0105271 | − | 0.0654394i | ||||
\(629\) | −14.0347 | + | 24.3087i | −0.559598 | + | 0.969253i | ||||
\(630\) | 12.1766 | − | 26.3853i | 0.485128 | − | 1.05122i | ||||
\(631\) | −28.0718 | + | 16.2073i | −1.11752 | + | 0.645202i | −0.940767 | − | 0.339053i | \(-0.889893\pi\) |
−0.176755 | + | 0.984255i | \(0.556560\pi\) | |||||||
\(632\) | −27.1077 | − | 11.9040i | −1.07828 | − | 0.473517i | ||||
\(633\) | −2.52382 | + | 6.89599i | −0.100313 | + | 0.274091i | ||||
\(634\) | −8.54900 | − | 0.683238i | −0.339524 | − | 0.0271349i | ||||
\(635\) | −30.8946 | − | 36.8188i | −1.22602 | − | 1.46111i | ||||
\(636\) | −0.117044 | − | 0.615933i | −0.00464108 | − | 0.0244233i | ||||
\(637\) | 0.245925 | + | 0.675673i | 0.00974390 | + | 0.0267711i | ||||
\(638\) | 11.2873 | + | 2.93368i | 0.446868 | + | 0.116146i | ||||
\(639\) | 7.67005 | + | 13.3946i | 0.303422 | + | 0.529883i | ||||
\(640\) | 9.22085 | + | 28.3548i | 0.364486 | + | 1.12082i | ||||
\(641\) | 16.3026 | + | 2.87458i | 0.643912 | + | 0.113539i | 0.486063 | − | 0.873924i | \(-0.338433\pi\) |
0.157850 | + | 0.987463i | \(0.449544\pi\) | |||||||
\(642\) | −2.48861 | − | 26.6805i | −0.0982175 | − | 1.05299i | ||||
\(643\) | −25.2314 | − | 9.18349i | −0.995030 | − | 0.362161i | −0.207364 | − | 0.978264i | \(-0.566489\pi\) |
−0.787666 | + | 0.616102i | \(0.788711\pi\) | |||||||
\(644\) | 6.03580 | + | 31.4581i | 0.237844 | + | 1.23962i | ||||
\(645\) | 0.0326081 | − | 18.3526i | 0.00128394 | − | 0.722635i | ||||
\(646\) | −46.0715 | + | 4.37988i | −1.81266 | + | 0.172324i | ||||
\(647\) | −29.0527 | −1.14218 | −0.571090 | − | 0.820887i | \(-0.693479\pi\) | ||||
−0.571090 | + | 0.820887i | \(0.693479\pi\) | |||||||
\(648\) | −6.96730 | − | 24.4838i | −0.273702 | − | 0.961815i | ||||
\(649\) | 1.20426 | 0.0472714 | ||||||||
\(650\) | 8.02726 | − | 0.763128i | 0.314855 | − | 0.0299323i | ||||
\(651\) | −0.0290182 | + | 16.3321i | −0.00113731 | + | 0.640107i | ||||
\(652\) | 22.1279 | − | 4.24563i | 0.866594 | − | 0.166272i | ||||
\(653\) | −32.5052 | − | 11.8309i | −1.27203 | − | 0.462980i | −0.384240 | − | 0.923233i | \(-0.625537\pi\) |
−0.887788 | + | 0.460253i | \(0.847759\pi\) | |||||||
\(654\) | 1.44586 | + | 15.5011i | 0.0565375 | + | 0.606141i | ||||
\(655\) | −10.8189 | − | 1.90767i | −0.422730 | − | 0.0745387i | ||||
\(656\) | −24.2903 | − | 13.0667i | −0.948379 | − | 0.510170i | ||||
\(657\) | 7.93340 | − | 13.6290i | 0.309512 | − | 0.531717i | ||||
\(658\) | 5.19942 | + | 1.35138i | 0.202695 | + | 0.0526824i | ||||
\(659\) | 7.44079 | + | 20.4434i | 0.289852 | + | 0.796362i | 0.996086 | + | 0.0883842i | \(0.0281703\pi\) |
−0.706234 | + | 0.707978i | \(0.749607\pi\) | |||||||
\(660\) | 14.5960 | − | 2.77364i | 0.568150 | − | 0.107964i | ||||
\(661\) | 16.3906 | + | 19.5335i | 0.637519 | + | 0.759766i | 0.983976 | − | 0.178300i | \(-0.0570597\pi\) |
−0.346457 | + | 0.938066i | \(0.612615\pi\) | |||||||
\(662\) | 5.18121 | + | 0.414084i | 0.201373 | + | 0.0160938i | ||||
\(663\) | 6.62486 | − | 18.1015i | 0.257288 | − | 0.703004i | ||||
\(664\) | −29.8000 | − | 13.0863i | −1.15646 | − | 0.507848i | ||||
\(665\) | 51.1202 | − | 29.5143i | 1.98236 | − | 1.14451i | ||||
\(666\) | −18.0903 | − | 25.6190i | −0.700984 | − | 0.992714i | ||||
\(667\) | 15.6132 | − | 27.0429i | 0.604546 | − | 1.04710i | ||||
\(668\) | −34.5024 | − | 5.55033i | −1.33494 | − | 0.214749i | ||||
\(669\) | −4.85684 | + | 27.2612i | −0.187776 | + | 1.05398i | ||||
\(670\) | 21.9703 | + | 46.2056i | 0.848788 | + | 1.78508i | ||||
\(671\) | −3.19066 | − | 18.0951i | −0.123174 | − | 0.698555i | ||||
\(672\) | −24.3453 | + | 7.46693i | −0.939140 | + | 0.288043i | ||||
\(673\) | −6.18349 | − | 5.18857i | −0.238356 | − | 0.200005i | 0.515783 | − | 0.856719i | \(-0.327501\pi\) |
−0.754139 | + | 0.656715i | \(0.771946\pi\) | |||||||
\(674\) | 19.5733 | + | 19.2813i | 0.753936 | + | 0.742687i | ||||
\(675\) | −6.53899 | + | 7.70904i | −0.251686 | + | 0.296721i | ||||
\(676\) | 0.132581 | + | 8.81963i | 0.00509927 | + | 0.339216i | ||||
\(677\) | 11.8370 | + | 9.93243i | 0.454933 | + | 0.381734i | 0.841263 | − | 0.540627i | \(-0.181813\pi\) |
−0.386330 | + | 0.922361i | \(0.626257\pi\) | |||||||
\(678\) | −2.18907 | + | 8.36139i | −0.0840709 | + | 0.321117i | ||||
\(679\) | −5.32333 | + | 0.938647i | −0.204291 | + | 0.0360220i | ||||
\(680\) | −12.5373 | − | 25.3764i | −0.480784 | − | 0.973141i | ||||
\(681\) | 2.80016 | − | 1.01354i | 0.107302 | − | 0.0388391i | ||||
\(682\) | −6.80385 | + | 4.84072i | −0.260533 | + | 0.185361i | ||||
\(683\) | −1.82111 | − | 1.05142i | −0.0696830 | − | 0.0402315i | 0.464754 | − | 0.885440i | \(-0.346143\pi\) |
−0.534437 | + | 0.845209i | \(0.679476\pi\) | |||||||
\(684\) | 17.1265 | − | 48.7898i | 0.654847 | − | 1.86553i | ||||
\(685\) | 36.3798 | − | 21.0039i | 1.39000 | − | 0.802516i | ||||
\(686\) | −11.0727 | + | 24.2191i | −0.422759 | + | 0.924690i | ||||
\(687\) | 12.2380 | − | 10.2319i | 0.466907 | − | 0.390370i | ||||
\(688\) | −12.0035 | + | 10.7032i | −0.457628 | + | 0.408054i | ||||
\(689\) | 0.340959 | + | 0.406339i | 0.0129895 | + | 0.0154803i | ||||
\(690\) | 3.23966 | − | 39.6489i | 0.123332 | − | 1.50941i | ||||
\(691\) | −21.9905 | + | 8.00388i | −0.836557 | + | 0.304482i | −0.724547 | − | 0.689225i | \(-0.757951\pi\) |
−0.112010 | + | 0.993707i | \(0.535729\pi\) | |||||||
\(692\) | 31.9344 | − | 19.0830i | 1.21396 | − | 0.725426i | ||||
\(693\) | 2.15897 | + | 12.5038i | 0.0820125 | + | 0.474980i | ||||
\(694\) | 5.69013 | + | 20.6149i | 0.215994 | + | 0.782529i | ||||
\(695\) | −1.08478 | + | 6.15210i | −0.0411481 | + | 0.233362i | ||||
\(696\) | 22.7115 | + | 10.0217i | 0.860878 | + | 0.379871i | ||||
\(697\) | 24.6043 | + | 8.95523i | 0.931954 | + | 0.339203i | ||||
\(698\) | 26.1796 | + | 18.0394i | 0.990911 | + | 0.682802i | ||||
\(699\) | −16.7155 | − | 29.0713i | −0.632238 | − | 1.09958i | ||||
\(700\) | 7.84329 | + | 6.38288i | 0.296448 | + | 0.241250i | ||||
\(701\) | −40.5028 | −1.52977 | −0.764884 | − | 0.644168i | \(-0.777204\pi\) | ||||
−0.764884 | + | 0.644168i | \(0.777204\pi\) | |||||||
\(702\) | 15.2622 | + | 15.1957i | 0.576035 | + | 0.573523i | ||||
\(703\) | − | 63.7061i | − | 2.40272i | ||||||
\(704\) | −10.3405 | − | 7.91055i | −0.389721 | − | 0.298140i | ||||
\(705\) | −5.77202 | − | 3.34617i | −0.217387 | − | 0.126024i | ||||
\(706\) | −24.2800 | − | 16.7305i | −0.913789 | − | 0.629660i | ||||
\(707\) | −15.8593 | + | 43.5730i | −0.596450 | + | 1.63873i | ||||
\(708\) | 2.53012 | + | 0.411628i | 0.0950877 | + | 0.0154699i | ||||
\(709\) | 12.4782 | + | 2.20024i | 0.468628 | + | 0.0826317i | 0.402975 | − | 0.915211i | \(-0.367976\pi\) |
0.0656523 | + | 0.997843i | \(0.479087\pi\) | |||||||
\(710\) | −18.4847 | + | 5.10216i | −0.693717 | + | 0.191480i | ||||
\(711\) | −20.2703 | + | 23.9836i | −0.760195 | + | 0.899455i | ||||
\(712\) | −0.163507 | + | 0.670316i | −0.00612767 | + | 0.0251212i | ||||
\(713\) | 7.64687 | + | 21.0096i | 0.286377 | + | 0.786815i | ||||
\(714\) | 21.8496 | − | 10.3417i | 0.817701 | − | 0.387029i | ||||
\(715\) | −9.62920 | + | 8.07986i | −0.360112 | + | 0.302170i | ||||
\(716\) | 10.7180 | − | 9.27149i | 0.400549 | − | 0.346492i | ||||
\(717\) | −7.89765 | + | 1.37810i | −0.294943 | + | 0.0514662i | ||||
\(718\) | 13.9898 | + | 6.39597i | 0.522093 | + | 0.238695i | ||||
\(719\) | −23.2178 | − | 40.2145i | −0.865879 | − | 1.49975i | −0.866171 | − | 0.499747i | \(-0.833426\pi\) |
0.000291815 | − | 1.00000i | \(-0.499907\pi\) | |||||||
\(720\) | 31.6139 | − | 0.838257i | 1.17818 | − | 0.0312400i | ||||
\(721\) | −16.3111 | + | 28.2516i | −0.607455 | + | 1.05214i | ||||
\(722\) | 63.6905 | − | 45.3137i | 2.37032 | − | 1.68640i | ||||
\(723\) | 30.7359 | − | 36.4977i | 1.14308 | − | 1.35737i | ||||
\(724\) | −0.283323 | − | 0.0983241i | −0.0105296 | − | 0.00365418i | ||||
\(725\) | −1.71183 | − | 9.70825i | −0.0635756 | − | 0.360555i | ||||
\(726\) | 14.3820 | − | 14.5480i | 0.533767 | − | 0.539929i | ||||
\(727\) | 7.82850 | − | 9.32964i | 0.290343 | − | 0.346017i | −0.601081 | − | 0.799188i | \(-0.705263\pi\) |
0.891424 | + | 0.453171i | \(0.149707\pi\) | |||||||
\(728\) | 14.8869 | − | 15.5738i | 0.551745 | − | 0.577204i | ||||
\(729\) | −26.9985 | − | 0.287828i | −0.999943 | − | 0.0106603i | ||||
\(730\) | 13.9571 | + | 13.7489i | 0.516576 | + | 0.508869i | ||||
\(731\) | 9.81335 | − | 11.6951i | 0.362960 | − | 0.432559i | ||||
\(732\) | −0.518391 | − | 39.1080i | −0.0191603 | − | 1.44547i | ||||
\(733\) | −9.85329 | + | 1.73740i | −0.363939 | + | 0.0641723i | −0.352628 | − | 0.935764i | \(-0.614712\pi\) |
−0.0113117 | + | 0.999936i | \(0.503601\pi\) | |||||||
\(734\) | −14.8150 | + | 7.04439i | −0.546832 | + | 0.260013i | ||||
\(735\) | 0.721370 | − | 0.856600i | 0.0266081 | − | 0.0315962i | ||||
\(736\) | −27.7842 | + | 21.0535i | −1.02414 | + | 0.776042i | ||||
\(737\) | −19.3473 | − | 11.1702i | −0.712666 | − | 0.411458i | ||||
\(738\) | −20.6043 | + | 20.7682i | −0.758454 | + | 0.764488i | ||||
\(739\) | 22.0318 | + | 38.1602i | 0.810454 | + | 1.40375i | 0.912547 | + | 0.408972i | \(0.134113\pi\) |
−0.102093 | + | 0.994775i | \(0.532554\pi\) | |||||||
\(740\) | 36.4086 | − | 13.8749i | 1.33841 | − | 0.510051i | ||||
\(741\) | 7.52023 | + | 43.0969i | 0.276262 | + | 1.58321i | ||||
\(742\) | −0.0529953 | + | 0.663101i | −0.00194552 | + | 0.0243432i | ||||
\(743\) | −6.42946 | + | 5.39496i | −0.235874 | + | 0.197922i | −0.753061 | − | 0.657950i | \(-0.771424\pi\) |
0.517187 | + | 0.855872i | \(0.326979\pi\) | |||||||
\(744\) | −15.9493 | + | 7.84459i | −0.584730 | + | 0.287596i | ||||
\(745\) | 39.5782 | − | 14.4053i | 1.45003 | − | 0.527769i | ||||
\(746\) | 6.63972 | + | 1.72573i | 0.243097 | + | 0.0631834i | ||||
\(747\) | −22.2835 | + | 26.3656i | −0.815311 | + | 0.964668i | ||||
\(748\) | 10.7950 | + | 6.01800i | 0.394705 | + | 0.220040i | ||||
\(749\) | −4.93709 | + | 27.9996i | −0.180397 | + | 1.02308i | ||||
\(750\) | 11.4026 | + | 16.0873i | 0.416364 | + | 0.587425i | ||||
\(751\) | −7.74342 | + | 21.2749i | −0.282561 | + | 0.776331i | 0.714494 | + | 0.699642i | \(0.246657\pi\) |
−0.997055 | + | 0.0766890i | \(0.975565\pi\) | |||||||
\(752\) | 1.18783 | + | 5.72452i | 0.0433158 | + | 0.208752i | ||||
\(753\) | −12.0604 | + | 20.8038i | −0.439505 | + | 0.758132i | ||||
\(754\) | −20.9085 | + | 1.98770i | −0.761441 | + | 0.0723879i | ||||
\(755\) | 6.21370i | 0.226140i | ||||||||
\(756\) | 0.262016 | + | 27.0081i | 0.00952944 | + | 0.982273i | ||||
\(757\) | − | 19.5088i | − | 0.709058i | −0.935045 | − | 0.354529i | \(-0.884641\pi\) | ||
0.935045 | − | 0.354529i | \(-0.115359\pi\) | |||||||
\(758\) | 4.22755 | + | 44.4692i | 0.153552 | + | 1.61519i | ||||
\(759\) | 8.65844 | + | 15.0586i | 0.314281 | + | 0.546592i | ||||
\(760\) | 53.4396 | + | 35.6508i | 1.93846 | + | 1.29319i | ||||
\(761\) | −9.62500 | + | 26.4445i | −0.348906 | + | 0.958612i | 0.633809 | + | 0.773489i | \(0.281490\pi\) |
−0.982715 | + | 0.185122i | \(0.940732\pi\) | |||||||
\(762\) | 40.5948 | + | 18.6468i | 1.47060 | + | 0.675502i | ||||
\(763\) | 2.86840 | − | 16.2675i | 0.103843 | − | 0.588924i | ||||
\(764\) | 19.0970 | + | 10.6462i | 0.690904 | + | 0.385165i | ||||
\(765\) | −29.5837 | + | 5.10808i | −1.06960 | + | 0.184683i | ||||
\(766\) | 2.01891 | − | 7.76774i | 0.0729463 | − | 0.280660i | ||||
\(767\) | −2.03797 | + | 0.741760i | −0.0735868 | + | 0.0267834i | ||||
\(768\) | −19.0211 | − | 20.1543i | −0.686366 | − | 0.727256i | ||||
\(769\) | 12.3157 | − | 10.3341i | 0.444117 | − | 0.372658i | −0.393130 | − | 0.919483i | \(-0.628608\pi\) |
0.837247 | + | 0.546824i | \(0.184163\pi\) | |||||||
\(770\) | −15.7138 | − | 1.25585i | −0.566287 | − | 0.0452578i | ||||
\(771\) | −2.25463 | + | 1.88505i | −0.0811987 | + | 0.0678883i | ||||
\(772\) | −2.08764 | − | 5.47811i | −0.0751358 | − | 0.197161i | ||||
\(773\) | −6.27436 | − | 10.8675i | −0.225673 | − | 0.390877i | 0.730848 | − | 0.682540i | \(-0.239125\pi\) |
−0.956521 | + | 0.291663i | \(0.905791\pi\) | |||||||
\(774\) | 7.27017 | + | 15.4310i | 0.261321 | + | 0.554656i | ||||
\(775\) | 6.11265 | + | 3.52914i | 0.219573 | + | 0.126770i | ||||
\(776\) | −3.48195 | − | 4.74152i | −0.124995 | − | 0.170210i | ||||
\(777\) | 11.3255 | + | 31.2895i | 0.406301 | + | 1.12251i | ||||
\(778\) | −4.97730 | − | 10.4677i | −0.178445 | − | 0.375286i | ||||
\(779\) | −58.5229 | + | 10.3192i | −2.09680 | + | 0.369722i | ||||
\(780\) | −22.9924 | + | 13.6842i | −0.823262 | + | 0.489973i | ||||
\(781\) | 5.38215 | − | 6.41420i | 0.192589 | − | 0.229518i | ||||
\(782\) | 23.2232 | − | 23.5750i | 0.830462 | − | 0.843039i | ||||
\(783\) | 17.0320 | − | 20.0796i | 0.608673 | − | 0.717586i | ||||
\(784\) | −0.980902 | + | 0.0294975i | −0.0350322 | + | 0.00105348i | ||||
\(785\) | 1.40687 | − | 1.67664i | 0.0502134 | − | 0.0598420i | ||||
\(786\) | 9.84750 | − | 2.69930i | 0.351249 | − | 0.0962807i | ||||
\(787\) | −3.64035 | − | 20.6454i | −0.129764 | − | 0.735930i | −0.978363 | − | 0.206894i | \(-0.933665\pi\) |
0.848599 | − | 0.529037i | \(-0.177447\pi\) | |||||||
\(788\) | −1.84432 | + | 5.31446i | −0.0657013 | + | 0.189320i | ||||
\(789\) | −7.07537 | − | 1.26054i | −0.251890 | − | 0.0448766i | ||||
\(790\) | −22.6162 | − | 31.7881i | −0.804648 | − | 1.13097i | ||||
\(791\) | 4.58533 | − | 7.94202i | 0.163036 | − | 0.282386i | ||||
\(792\) | −11.1592 | + | 8.13396i | −0.396526 | + | 0.289028i | ||||
\(793\) | 16.5452 | + | 28.6571i | 0.587536 | + | 1.01764i | ||||
\(794\) | 17.1182 | − | 37.4422i | 0.607502 | − | 1.32877i | ||||
\(795\) | 0.283937 | − | 0.775819i | 0.0100702 | − | 0.0275155i | ||||
\(796\) | −1.52714 | + | 1.32104i | −0.0541280 | + | 0.0468231i | ||||
\(797\) | 21.2235 | − | 17.8086i | 0.751775 | − | 0.630814i | −0.184197 | − | 0.982889i | \(-0.558968\pi\) |
0.935972 | + | 0.352075i | \(0.114524\pi\) | |||||||
\(798\) | −31.2103 | + | 45.1218i | −1.10483 | + | 1.59730i | ||||
\(799\) | −1.89822 | − | 5.21531i | −0.0671541 | − | 0.184504i | ||||
\(800\) | −2.44694 | + | 10.7296i | −0.0865125 | + | 0.379348i | ||||
\(801\) | 0.632474 | + | 0.368162i | 0.0223474 | + | 0.0130084i | ||||
\(802\) | 5.22423 | + | 18.9269i | 0.184474 | + | 0.668333i | ||||
\(803\) | −8.42472 | − | 1.48550i | −0.297302 | − | 0.0524223i | ||||
\(804\) | −36.8300 | − | 30.0813i | −1.29889 | − | 1.06088i | ||||
\(805\) | −14.4362 | + | 39.6632i | −0.508810 | + | 1.39794i | ||||
\(806\) | 8.53252 | − | 12.3827i | 0.300545 | − | 0.436163i | ||||
\(807\) | 0.0967727 | − | 54.4661i | 0.00340656 | − | 1.91730i | ||||
\(808\) | −50.1593 | + | 5.53041i | −1.76460 | + | 0.194559i | ||||
\(809\) | 21.9542i | 0.771867i | 0.922527 | + | 0.385933i | \(0.126121\pi\) | ||||
−0.922527 | + | 0.385933i | \(0.873879\pi\) | |||||||
\(810\) | 8.66843 | − | 32.4040i | 0.304578 | − | 1.13856i | ||||
\(811\) | −17.4685 | −0.613401 | −0.306700 | − | 0.951806i | \(-0.599225\pi\) | ||||
−0.306700 | + | 0.951806i | \(0.599225\pi\) | |||||||
\(812\) | −20.4293 | − | 16.6254i | −0.716926 | − | 0.583436i | ||||
\(813\) | 48.7942 | + | 0.0866951i | 1.71129 | + | 0.00304053i | ||||
\(814\) | −9.65329 | + | 14.0093i | −0.338348 | + | 0.491024i | ||||
\(815\) | 27.8994 | + | 10.1546i | 0.977274 | + | 0.355699i | ||||
\(816\) | 20.6230 | + | 16.3335i | 0.721950 | + | 0.571787i | ||||
\(817\) | −6.01685 | + | 34.1233i | −0.210503 | + | 1.19382i | ||||
\(818\) | 22.4412 | − | 6.19424i | 0.784638 | − | 0.216576i | ||||
\(819\) | −11.3553 | − | 19.8303i | −0.396786 | − | 0.692928i | ||||
\(820\) | −18.6435 | − | 31.1989i | −0.651060 | − | 1.08951i | ||||
\(821\) | 40.3394 | − | 14.6823i | 1.40786 | − | 0.512417i | 0.477355 | − | 0.878710i | \(-0.341595\pi\) |
0.930500 | + | 0.366293i | \(0.119373\pi\) | |||||||
\(822\) | −22.2108 | + | 32.1110i | −0.774692 | + | 1.12000i | ||||
\(823\) | 17.8062 | + | 21.2206i | 0.620686 | + | 0.739705i | 0.981188 | − | 0.193053i | \(-0.0618390\pi\) |
−0.360502 | + | 0.932758i | \(0.617395\pi\) | |||||||
\(824\) | −35.4279 | − | 2.29608i | −1.23419 | − | 0.0799877i | ||||
\(825\) | 5.14968 | + | 1.88470i | 0.179289 | + | 0.0656168i | ||||
\(826\) | −2.47356 | − | 1.13089i | −0.0860662 | − | 0.0393486i | ||||
\(827\) | 23.1043 | − | 13.3392i | 0.803414 | − | 0.463851i | −0.0412497 | − | 0.999149i | \(-0.513134\pi\) |
0.844663 | + | 0.535298i | \(0.179801\pi\) | |||||||
\(828\) | 13.0440 | + | 34.5972i | 0.453309 | + | 1.20234i | ||||
\(829\) | 2.23315 | + | 1.28931i | 0.0775606 | + | 0.0447796i | 0.538279 | − | 0.842767i | \(-0.319075\pi\) |
−0.460718 | + | 0.887547i | \(0.652408\pi\) | |||||||
\(830\) | −24.8624 | − | 34.9452i | −0.862987 | − | 1.21297i | ||||
\(831\) | −7.50187 | + | 42.1076i | −0.260237 | + | 1.46070i | ||||
\(832\) | 22.3716 | + | 7.01784i | 0.775597 | + | 0.243300i | ||||
\(833\) | 0.917434 | − | 0.161768i | 0.0317872 | − | 0.00560494i | ||||
\(834\) | −1.53494 | − | 5.59971i | −0.0531505 | − | 0.193902i | ||||
\(835\) | −35.2753 | − | 29.5995i | −1.22075 | − | 1.02433i | ||||
\(836\) | −28.0472 | + | 0.421619i | −0.970031 | + | 0.0145820i | ||||
\(837\) | 3.17465 | + | 18.5830i | 0.109732 | + | 0.642323i | ||||
\(838\) | −16.1032 | + | 16.3471i | −0.556276 | + | 0.564701i | ||||
\(839\) | 27.0517 | + | 22.6991i | 0.933928 | + | 0.783659i | 0.976518 | − | 0.215434i | \(-0.0691166\pi\) |
−0.0425905 | + | 0.999093i | \(0.513561\pi\) | |||||||
\(840\) | −32.5850 | − | 8.00965i | −1.12429 | − | 0.276359i | ||||
\(841\) | −0.577037 | − | 3.27254i | −0.0198978 | − | 0.112846i | ||||
\(842\) | −0.677349 | + | 0.322073i | −0.0233430 | + | 0.0110994i | ||||
\(843\) | −31.3652 | + | 11.3529i | −1.08028 | + | 0.391016i | ||||
\(844\) | 8.37171 | + | 1.34674i | 0.288166 | + | 0.0463567i | ||||
\(845\) | −5.81151 | + | 10.0658i | −0.199922 | + | 0.346275i | ||||
\(846\) | 6.17960 | + | 0.515982i | 0.212459 | + | 0.0177398i | ||||
\(847\) | −18.7974 | + | 10.8527i | −0.645887 | + | 0.372903i | ||||
\(848\) | −0.672536 | + | 0.267940i | −0.0230950 | + | 0.00920110i | ||||
\(849\) | −9.94863 | − | 11.8992i | −0.341436 | − | 0.408379i | ||||
\(850\) | 0.832278 | − | 10.4138i | 0.0285469 | − | 0.357192i | ||||
\(851\) | 29.2812 | + | 34.8959i | 1.00375 | + | 1.19622i | ||||
\(852\) | 13.5002 | − | 11.6364i | 0.462509 | − | 0.398656i | ||||
\(853\) | −11.8972 | − | 32.6874i | −0.407354 | − | 1.11919i | −0.958576 | − | 0.284837i | \(-0.908061\pi\) |
0.551222 | − | 0.834358i | \(-0.314162\pi\) | |||||||
\(854\) | −10.4390 | + | 40.1638i | −0.357214 | + | 1.37438i | ||||
\(855\) | 52.3511 | − | 43.6117i | 1.79037 | − | 1.49149i | ||||
\(856\) | −29.6992 | + | 8.68008i | −1.01510 | + | 0.296679i | ||||
\(857\) | −14.7995 | − | 2.60955i | −0.505541 | − | 0.0891405i | −0.0849397 | − | 0.996386i | \(-0.527070\pi\) |
−0.420601 | + | 0.907246i | \(0.638181\pi\) | |||||||
\(858\) | 4.87669 | − | 10.6167i | 0.166487 | − | 0.362450i | ||||
\(859\) | −11.2421 | − | 4.09177i | −0.383574 | − | 0.139610i | 0.143034 | − | 0.989718i | \(-0.454314\pi\) |
−0.526608 | + | 0.850108i | \(0.676536\pi\) | |||||||
\(860\) | −20.8122 | + | 3.99320i | −0.709691 | + | 0.136167i | ||||
\(861\) | 26.9092 | − | 15.4724i | 0.917065 | − | 0.527297i | ||||
\(862\) | −1.64518 | − | 17.3055i | −0.0560350 | − | 0.589427i | ||||
\(863\) | 4.99128 | 0.169905 | 0.0849526 | − | 0.996385i | \(-0.472926\pi\) | ||||
0.0849526 | + | 0.996385i | \(0.472926\pi\) | |||||||
\(864\) | −26.2255 | + | 13.2749i | −0.892210 | + | 0.451620i | ||||
\(865\) | 49.0210 | 1.66676 | ||||||||
\(866\) | 1.96623 | + | 20.6826i | 0.0668152 | + | 0.702822i | ||||
\(867\) | 3.86816 | + | 2.24246i | 0.131370 | + | 0.0761578i | ||||
\(868\) | 18.5209 | − | 3.55357i | 0.628641 | − | 0.120616i | ||||
\(869\) | 16.0074 | + | 5.82624i | 0.543016 | + | 0.197641i | ||||
\(870\) | 18.9159 | + | 26.6874i | 0.641308 | + | 0.904787i | ||||
\(871\) | 39.6216 | + | 6.98635i | 1.34253 | + | 0.236724i | ||||
\(872\) | 17.2550 | − | 5.04304i | 0.584327 | − | 0.170779i | ||||
\(873\) | −5.87078 | + | 2.11320i | −0.198696 | + | 0.0715208i | ||||
\(874\) | −18.8931 | + | 72.6911i | −0.639070 | + | 2.45881i | ||||
\(875\) | −7.15570 | − | 19.6601i | −0.241907 | − | 0.664634i | ||||
\(876\) | −17.1923 | − | 6.00065i | −0.580875 | − | 0.202743i | ||||
\(877\) | −13.3228 | − | 15.8774i | −0.449878 | − | 0.536143i | 0.492670 | − | 0.870217i | \(-0.336021\pi\) |
−0.942547 | + | 0.334073i | \(0.891577\pi\) | |||||||
\(878\) | −3.30039 | + | 41.2961i | −0.111383 | + | 1.39367i | ||||
\(879\) | −36.3069 | + | 6.33539i | −1.22460 | + | 0.213687i | ||||
\(880\) | −6.34950 | − | 15.9374i | −0.214042 | − | 0.537249i | ||||
\(881\) | 7.33774 | − | 4.23645i | 0.247215 | − | 0.142729i | −0.371274 | − | 0.928524i | \(-0.621079\pi\) |
0.618488 | + | 0.785794i | \(0.287745\pi\) | |||||||
\(882\) | −0.265412 | + | 1.00647i | −0.00893690 | + | 0.0338895i | ||||
\(883\) | 9.03674 | − | 15.6521i | 0.304111 | − | 0.526735i | −0.672952 | − | 0.739686i | \(-0.734974\pi\) |
0.977063 | + | 0.212951i | \(0.0683074\pi\) | |||||||
\(884\) | −21.9752 | − | 3.53510i | −0.739104 | − | 0.118898i | ||||
\(885\) | 2.58368 | + | 2.17580i | 0.0868495 | + | 0.0731387i | ||||
\(886\) | 43.3529 | − | 20.6139i | 1.45647 | − | 0.692537i | ||||
\(887\) | −3.87890 | − | 21.9983i | −0.130241 | − | 0.738632i | −0.978056 | − | 0.208341i | \(-0.933194\pi\) |
0.847816 | − | 0.530291i | \(-0.177917\pi\) | |||||||
\(888\) | −25.0698 | + | 26.1335i | −0.841287 | + | 0.876981i | ||||
\(889\) | −36.3096 | − | 30.4674i | −1.21779 | − | 1.02184i | ||||
\(890\) | −0.638038 | + | 0.647701i | −0.0213871 | + | 0.0217110i | ||||
\(891\) | 4.91153 | + | 13.7987i | 0.164542 | + | 0.462273i | ||||
\(892\) | 31.9706 | − | 0.480597i | 1.07045 | − | 0.0160916i | ||||
\(893\) | 9.64933 | + | 8.09675i | 0.322903 | + | 0.270948i | ||||
\(894\) | −27.5216 | + | 27.8393i | −0.920461 | + | 0.931087i | ||||
\(895\) | 18.3904 | − | 3.24272i | 0.614723 | − | 0.108392i | ||||
\(896\) | 13.8108 | + | 25.9588i | 0.461388 | + | 0.867222i | ||||
\(897\) | −23.9279 | − | 20.1505i | −0.798930 | − | 0.672805i | ||||
\(898\) | −14.5798 | − | 20.4926i | −0.486535 | − | 0.683847i | ||||
\(899\) | −15.9215 | − | 9.19228i | −0.531012 | − | 0.306580i | ||||
\(900\) | 10.1751 | + | 5.71991i | 0.339171 | + | 0.190664i | ||||
\(901\) | 0.595165 | − | 0.343619i | 0.0198278 | − | 0.0114476i | ||||
\(902\) | 14.4331 | + | 6.59866i | 0.480569 | + | 0.219711i | ||||
\(903\) | −3.11116 | − | 17.8295i | −0.103533 | − | 0.593327i | ||||
\(904\) | 9.95941 | + | 0.645469i | 0.331245 | + | 0.0214680i | ||||
\(905\) | −0.254017 | − | 0.302725i | −0.00844380 | − | 0.0100629i | ||||
\(906\) | −2.47075 | − | 5.22013i | −0.0820853 | − | 0.173427i | ||||
\(907\) | 37.7812 | − | 13.7512i | 1.25450 | − | 0.456602i | 0.372583 | − | 0.927999i | \(-0.378472\pi\) |
0.881921 | + | 0.471397i | \(0.156250\pi\) | |||||||
\(908\) | −1.76389 | − | 2.95177i | −0.0585366 | − | 0.0979579i | ||||
\(909\) | −9.48165 | + | 52.6778i | −0.314487 | + | 1.74721i | ||||
\(910\) | 27.3660 | − | 7.55359i | 0.907174 | − | 0.250399i | ||||
\(911\) | 1.26349 | − | 7.16560i | 0.0418613 | − | 0.237407i | −0.956697 | − | 0.291086i | \(-0.905984\pi\) |
0.998558 | + | 0.0536786i | \(0.0170946\pi\) | |||||||
\(912\) | −59.0704 | − | 8.70099i | −1.95602 | − | 0.288118i | ||||
\(913\) | 17.5973 | + | 6.40489i | 0.582386 | + | 0.211971i | ||||
\(914\) | −9.65729 | + | 14.0151i | −0.319435 | + | 0.463577i | ||||
\(915\) | 25.8480 | − | 44.5869i | 0.854508 | − | 1.47400i | ||||
\(916\) | −14.2865 | − | 11.6264i | −0.472040 | − | 0.384147i | ||||
\(917\) | −10.8339 | −0.357766 | ||||||||
\(918\) | 22.8221 | − | 16.0547i | 0.753243 | − | 0.529883i | ||||
\(919\) | − | 24.9111i | − | 0.821741i | −0.911694 | − | 0.410870i | \(-0.865225\pi\) | ||
0.911694 | − | 0.410870i | \(-0.134775\pi\) | |||||||
\(920\) | −45.6585 | + | 5.03417i | −1.50532 | + | 0.165972i | ||||
\(921\) | 13.4807 | − | 7.75117i | 0.444203 | − | 0.255410i | ||||
\(922\) | 13.2130 | − | 19.1753i | 0.435148 | − | 0.631504i | ||||
\(923\) | −5.15741 | + | 14.1699i | −0.169758 | + | 0.466406i | ||||
\(924\) | 13.7005 | − | 5.19325i | 0.450714 | − | 0.170845i | ||||
\(925\) | 14.1625 | + | 2.49723i | 0.465660 | + | 0.0821084i | ||||
\(926\) | 1.46705 | + | 5.31498i | 0.0482101 | + | 0.174661i | ||||
\(927\) | −13.0047 | + | 35.3388i | −0.427130 | + | 1.16068i | ||||
\(928\) | 6.37350 | − | 27.9471i | 0.209220 | − | 0.917409i | ||||
\(929\) | 12.8203 | + | 35.2236i | 0.420621 | + | 1.15565i | 0.951352 | + | 0.308107i | \(0.0996955\pi\) |
−0.530730 | + | 0.847541i | \(0.678082\pi\) | |||||||
\(930\) | −23.3433 | − | 1.90735i | −0.765456 | − | 0.0625444i | ||||
\(931\) | −1.61967 | + | 1.35906i | −0.0530825 | + | 0.0445415i | ||||
\(932\) | −29.2853 | + | 25.3331i | −0.959272 | + | 0.829812i | ||||
\(933\) | 18.9141 | + | 22.6225i | 0.619220 | + | 0.740626i | ||||
\(934\) | 5.68997 | − | 12.4455i | 0.186181 | − | 0.407230i | ||||
\(935\) | 8.14289 | + | 14.1039i | 0.266301 | + | 0.461247i | ||||
\(936\) | 13.8747 | − | 20.6386i | 0.453508 | − | 0.674593i | ||||
\(937\) | 4.91136 | − | 8.50673i | 0.160447 | − | 0.277903i | −0.774582 | − | 0.632474i | \(-0.782040\pi\) |
0.935029 | + | 0.354571i | \(0.115373\pi\) | |||||||
\(938\) | 29.2499 | + | 41.1120i | 0.955043 | + | 1.34236i | ||||
\(939\) | 5.67371 | + | 15.6750i | 0.185155 | + | 0.511534i | ||||
\(940\) | −2.52579 | + | 7.27812i | −0.0823823 | + | 0.237386i | ||||
\(941\) | 1.11021 | + | 6.29630i | 0.0361918 | + | 0.205254i | 0.997542 | − | 0.0700759i | \(-0.0223242\pi\) |
−0.961350 | + | 0.275330i | \(0.911213\pi\) | |||||||
\(942\) | −0.515227 | + | 1.96796i | −0.0167870 | + | 0.0641196i | ||||
\(943\) | 27.3138 | − | 32.5513i | 0.889459 | − | 1.06002i | ||||
\(944\) | −0.0889704 | − | 2.95860i | −0.00289574 | − | 0.0962943i | ||||
\(945\) | −17.9593 | + | 30.7270i | −0.584215 | + | 0.999548i | ||||
\(946\) | 6.49378 | − | 6.59213i | 0.211131 | − | 0.214329i | ||||
\(947\) | 2.56959 | − | 3.06232i | 0.0835006 | − | 0.0995121i | −0.722677 | − | 0.691186i | \(-0.757088\pi\) |
0.806177 | + | 0.591674i | \(0.201533\pi\) | |||||||
\(948\) | 31.6397 | + | 17.7123i | 1.02761 | + | 0.575267i | ||||
\(949\) | 15.1721 | − | 2.67525i | 0.492508 | − | 0.0868424i | ||||
\(950\) | 10.1818 | + | 21.4132i | 0.330340 | + | 0.694736i | ||||
\(951\) | 10.3409 | + | 1.84233i | 0.335326 | + | 0.0597416i | ||||
\(952\) | −16.5217 | − | 22.4983i | −0.535472 | − | 0.729174i | ||||
\(953\) | 38.3667 | + | 22.1510i | 1.24282 | + | 0.717542i | 0.969667 | − | 0.244428i | \(-0.0786003\pi\) |
0.273152 | + | 0.961971i | \(0.411934\pi\) | |||||||
\(954\) | 0.0699537 | + | 0.764667i | 0.00226483 | + | 0.0247570i | ||||
\(955\) | 14.4052 | + | 24.9506i | 0.466142 | + | 0.807382i | ||||
\(956\) | 3.29655 | + | 8.65036i | 0.106618 | + | 0.279773i | ||||
\(957\) | −13.4133 | − | 4.90903i | −0.433589 | − | 0.158687i | ||||
\(958\) | 2.86228 | + | 0.228754i | 0.0924761 | + | 0.00739072i | ||||
\(959\) | 31.7348 | − | 26.6286i | 1.02477 | − | 0.859883i | ||||
\(960\) | −7.89256 | − | 35.6543i | −0.254731 | − | 1.15074i | ||||
\(961\) | −16.7611 | + | 6.10053i | −0.540680 | + | 0.196791i | ||||
\(962\) | 7.70730 | − | 29.6537i | 0.248493 | − | 0.956075i | ||||
\(963\) | −0.116621 | + | 32.8184i | −0.00375805 | + | 1.05756i | ||||
\(964\) | −48.1243 | − | 26.8283i | −1.54998 | − | 0.864082i | ||||
\(965\) | 1.34143 | − | 7.60761i | 0.0431820 | − | 0.244897i | ||||
\(966\) | −3.64342 | − | 39.0613i | −0.117225 | − | 1.25678i | ||||
\(967\) | −8.11445 | + | 22.2943i | −0.260943 | + | 0.716935i | 0.738161 | + | 0.674624i | \(0.235694\pi\) |
−0.999104 | + | 0.0423110i | \(0.986528\pi\) | |||||||
\(968\) | −19.6503 | − | 13.1092i | −0.631584 | − | 0.421344i | ||||
\(969\) | 56.6802 | + | 0.100707i | 1.82083 | + | 0.00323516i | ||||
\(970\) | −0.733620 | − | 7.71688i | −0.0235551 | − | 0.247774i | ||||
\(971\) | − | 23.3729i | − | 0.750071i | −0.927010 | − | 0.375036i | \(-0.877631\pi\) | ||
0.927010 | − | 0.375036i | \(-0.122369\pi\) | |||||||
\(972\) | 5.60246 | + | 30.6694i | 0.179699 | + | 0.983722i | ||||
\(973\) | 6.16061i | 0.197500i | ||||||||
\(974\) | 10.8091 | − | 1.02759i | 0.346346 | − | 0.0329261i | ||||
\(975\) | −9.87566 | − | 0.0175466i | −0.316274 | − | 0.000561941i | ||||
\(976\) | −44.2200 | + | 9.17561i | −1.41545 | + | 0.293704i | ||||
\(977\) | 17.9667 | − | 49.3632i | 0.574807 | − | 1.57927i | −0.222007 | − | 0.975045i | \(-0.571261\pi\) |
0.796814 | − | 0.604224i | \(-0.206517\pi\) | |||||||
\(978\) | −27.4760 | + | 2.56281i | −0.878587 | + | 0.0819498i | ||||
\(979\) | 0.0689371 | − | 0.390962i | 0.00220324 | − | 0.0124952i | ||||
\(980\) | −1.12947 | − | 0.629659i | −0.0360797 | − | 0.0201137i | ||||
\(981\) | 0.0677555 | − | 19.0672i | 0.00216327 | − | 0.608768i | ||||
\(982\) | 24.9374 | + | 6.48148i | 0.795785 | + | 0.206832i | ||||
\(983\) | 10.1837 | − | 3.70656i | 0.324809 | − | 0.118221i | −0.174469 | − | 0.984663i | \(-0.555821\pi\) |
0.499278 | + | 0.866442i | \(0.333599\pi\) | |||||||
\(984\) | 28.0680 | + | 18.7970i | 0.894776 | + | 0.599225i | ||||
\(985\) | −5.67841 | + | 4.76475i | −0.180929 | + | 0.151817i | ||||
\(986\) | −2.16782 | + | 27.1247i | −0.0690374 | + | 0.863828i | ||||
\(987\) | −6.17874 | − | 2.26132i | −0.196671 | − | 0.0719785i | ||||
\(988\) | 47.2045 | − | 17.9890i | 1.50177 | − | 0.572308i | ||||
\(989\) | −12.3882 | − | 21.4570i | −0.393923 | − | 0.682294i | ||||
\(990\) | −18.1207 | + | 1.65772i | −0.575912 | + | 0.0526859i | ||||
\(991\) | −37.1953 | − | 21.4747i | −1.18155 | − | 0.682167i | −0.225175 | − | 0.974318i | \(-0.572295\pi\) |
−0.956372 | + | 0.292152i | \(0.905629\pi\) | |||||||
\(992\) | 12.3952 | + | 16.3579i | 0.393549 | + | 0.519364i | ||||
\(993\) | −6.26721 | − | 1.11656i | −0.198884 | − | 0.0354330i | ||||
\(994\) | −17.0784 | + | 8.12059i | −0.541693 | + | 0.257570i | ||||
\(995\) | −2.62034 | + | 0.462037i | −0.0830704 | + | 0.0146475i | ||||
\(996\) | 34.7822 | + | 19.4714i | 1.10212 | + | 0.616976i | ||||
\(997\) | −27.5401 | + | 32.8210i | −0.872204 | + | 1.03945i | 0.126667 | + | 0.991945i | \(0.459572\pi\) |
−0.998871 | + | 0.0475071i | \(0.984872\pi\) | |||||||
\(998\) | −0.782033 | − | 0.770366i | −0.0247548 | − | 0.0243855i | ||||
\(999\) | 19.0278 | + | 33.3666i | 0.602012 | + | 1.05567i |
(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 | 216.2.v.b.11.17 | yes | 192 | |
3.2 | odd | 2 | 648.2.v.b.35.16 | 192 | |||
4.3 | odd | 2 | 864.2.bh.b.335.17 | 192 | |||
8.3 | odd | 2 | inner | 216.2.v.b.11.2 | ✓ | 192 | |
8.5 | even | 2 | 864.2.bh.b.335.18 | 192 | |||
24.11 | even | 2 | 648.2.v.b.35.31 | 192 | |||
27.5 | odd | 18 | inner | 216.2.v.b.59.2 | yes | 192 | |
27.22 | even | 9 | 648.2.v.b.611.31 | 192 | |||
108.59 | even | 18 | 864.2.bh.b.815.18 | 192 | |||
216.5 | odd | 18 | 864.2.bh.b.815.17 | 192 | |||
216.59 | even | 18 | inner | 216.2.v.b.59.17 | yes | 192 | |
216.211 | odd | 18 | 648.2.v.b.611.16 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.11.2 | ✓ | 192 | 8.3 | odd | 2 | inner | |
216.2.v.b.11.17 | yes | 192 | 1.1 | even | 1 | trivial | |
216.2.v.b.59.2 | yes | 192 | 27.5 | odd | 18 | inner | |
216.2.v.b.59.17 | yes | 192 | 216.59 | even | 18 | inner | |
648.2.v.b.35.16 | 192 | 3.2 | odd | 2 | |||
648.2.v.b.35.31 | 192 | 24.11 | even | 2 | |||
648.2.v.b.611.16 | 192 | 216.211 | odd | 18 | |||
648.2.v.b.611.31 | 192 | 27.22 | even | 9 | |||
864.2.bh.b.335.17 | 192 | 4.3 | odd | 2 | |||
864.2.bh.b.335.18 | 192 | 8.5 | even | 2 | |||
864.2.bh.b.815.17 | 192 | 216.5 | odd | 18 | |||
864.2.bh.b.815.18 | 192 | 108.59 | even | 18 |