Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(23,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([50, 33]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.w (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 113.5 | ||
Character | \(\chi\) | \(=\) | 450.113 |
Dual form | 450.2.w.a.227.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.777146 | + | 0.629320i | −0.549525 | + | 0.444997i | ||||
\(3\) | −0.942695 | + | 1.45304i | −0.544265 | + | 0.838913i | ||||
\(4\) | 0.207912 | − | 0.978148i | 0.103956 | − | 0.489074i | ||||
\(5\) | 1.99402 | − | 1.01188i | 0.891751 | − | 0.452525i | ||||
\(6\) | −0.181816 | − | 1.72248i | −0.0742261 | − | 0.703200i | ||||
\(7\) | −1.72082 | − | 0.461093i | −0.650409 | − | 0.174277i | −0.0814955 | − | 0.996674i | \(-0.525970\pi\) |
−0.568914 | + | 0.822397i | \(0.692636\pi\) | |||||||
\(8\) | 0.453990 | + | 0.891007i | 0.160510 | + | 0.315018i | ||||
\(9\) | −1.22265 | − | 2.73955i | −0.407551 | − | 0.913183i | ||||
\(10\) | −0.912847 | + | 2.04125i | −0.288668 | + | 0.645501i | ||||
\(11\) | −4.41688 | − | 0.464233i | −1.33174 | − | 0.139972i | −0.588229 | − | 0.808695i | \(-0.700174\pi\) |
−0.743511 | + | 0.668723i | \(0.766841\pi\) | |||||||
\(12\) | 1.22529 | + | 1.22420i | 0.353711 | + | 0.353396i | ||||
\(13\) | −1.01486 | + | 1.25325i | −0.281473 | + | 0.347590i | −0.898200 | − | 0.439587i | \(-0.855125\pi\) |
0.616727 | + | 0.787177i | \(0.288458\pi\) | |||||||
\(14\) | 1.62750 | − | 0.724612i | 0.434969 | − | 0.193661i | ||||
\(15\) | −0.409451 | + | 3.85128i | −0.105720 | + | 0.994396i | ||||
\(16\) | −0.913545 | − | 0.406737i | −0.228386 | − | 0.101684i | ||||
\(17\) | −5.47158 | + | 2.78791i | −1.32705 | + | 0.676168i | −0.966523 | − | 0.256580i | \(-0.917404\pi\) |
−0.360531 | + | 0.932747i | \(0.617404\pi\) | |||||||
\(18\) | 2.67423 | + | 1.35959i | 0.630323 | + | 0.320458i | ||||
\(19\) | −3.58379 | − | 1.16445i | −0.822179 | − | 0.267142i | −0.132431 | − | 0.991192i | \(-0.542278\pi\) |
−0.689747 | + | 0.724050i | \(0.742278\pi\) | |||||||
\(20\) | −0.575186 | − | 2.16082i | −0.128616 | − | 0.483175i | ||||
\(21\) | 2.29220 | − | 2.06575i | 0.500198 | − | 0.450784i | ||||
\(22\) | 3.72471 | − | 2.41886i | 0.794112 | − | 0.515702i | ||||
\(23\) | −1.64865 | + | 4.29489i | −0.343768 | + | 0.895546i | 0.647306 | + | 0.762230i | \(0.275896\pi\) |
−0.991074 | + | 0.133316i | \(0.957438\pi\) | |||||||
\(24\) | −1.72264 | − | 0.180281i | −0.351633 | − | 0.0367997i | ||||
\(25\) | 2.95221 | − | 4.03540i | 0.590441 | − | 0.807081i | ||||
\(26\) | − | 1.61264i | − | 0.316264i | ||||||
\(27\) | 5.13326 | + | 0.805997i | 0.987897 | + | 0.155114i | ||||
\(28\) | −0.808796 | + | 1.58735i | −0.152848 | + | 0.299981i | ||||
\(29\) | −3.83350 | + | 4.25753i | −0.711863 | + | 0.790604i | −0.985217 | − | 0.171310i | \(-0.945200\pi\) |
0.273355 | + | 0.961913i | \(0.411867\pi\) | |||||||
\(30\) | −2.10549 | − | 3.25068i | −0.384407 | − | 0.593491i | ||||
\(31\) | −4.81814 | − | 5.35108i | −0.865363 | − | 0.961083i | 0.134191 | − | 0.990956i | \(-0.457157\pi\) |
−0.999554 | + | 0.0298724i | \(0.990490\pi\) | |||||||
\(32\) | 0.965926 | − | 0.258819i | 0.170753 | − | 0.0457532i | ||||
\(33\) | 4.83832 | − | 5.98028i | 0.842244 | − | 1.04103i | ||||
\(34\) | 2.49773 | − | 5.60999i | 0.428357 | − | 0.962106i | ||||
\(35\) | −3.89792 | + | 0.821834i | −0.658868 | + | 0.138915i | ||||
\(36\) | −2.93389 | + | 0.626350i | −0.488981 | + | 0.104392i | ||||
\(37\) | 1.49361 | − | 9.43029i | 0.245548 | − | 1.55033i | −0.489311 | − | 0.872110i | \(-0.662752\pi\) |
0.734859 | − | 0.678220i | \(-0.237248\pi\) | |||||||
\(38\) | 3.51794 | − | 1.35041i | 0.570685 | − | 0.219066i | ||||
\(39\) | −0.864319 | − | 2.65607i | −0.138402 | − | 0.425312i | ||||
\(40\) | 1.80685 | + | 1.31730i | 0.285689 | + | 0.208283i | ||||
\(41\) | 10.2542 | − | 1.07776i | 1.60144 | − | 0.168318i | 0.738725 | − | 0.674007i | \(-0.235428\pi\) |
0.862716 | + | 0.505689i | \(0.168761\pi\) | |||||||
\(42\) | −0.481351 | + | 3.04792i | −0.0742741 | + | 0.470304i | ||||
\(43\) | −1.25356 | + | 4.67836i | −0.191166 | + | 0.713443i | 0.802060 | + | 0.597244i | \(0.203738\pi\) |
−0.993226 | + | 0.116199i | \(0.962929\pi\) | |||||||
\(44\) | −1.37241 | + | 4.22384i | −0.206899 | + | 0.636768i | ||||
\(45\) | −5.21008 | − | 4.22553i | −0.776672 | − | 0.629905i | ||||
\(46\) | −1.42162 | − | 4.37529i | −0.209606 | − | 0.645101i | ||||
\(47\) | −4.88436 | + | 0.255978i | −0.712457 | + | 0.0373383i | −0.405121 | − | 0.914263i | \(-0.632771\pi\) |
−0.307336 | + | 0.951601i | \(0.599437\pi\) | |||||||
\(48\) | 1.45220 | − | 0.943990i | 0.209607 | − | 0.136253i | ||||
\(49\) | −3.31356 | − | 1.91308i | −0.473365 | − | 0.273298i | ||||
\(50\) | 0.245265 | + | 4.99398i | 0.0346857 | + | 0.706256i | ||||
\(51\) | 1.10709 | − | 10.5786i | 0.155023 | − | 1.48130i | ||||
\(52\) | 1.01486 | + | 1.25325i | 0.140736 | + | 0.173795i | ||||
\(53\) | −0.446914 | − | 0.227714i | −0.0613883 | − | 0.0312789i | 0.423027 | − | 0.906117i | \(-0.360968\pi\) |
−0.484415 | + | 0.874838i | \(0.660968\pi\) | |||||||
\(54\) | −4.49652 | + | 2.60409i | −0.611899 | + | 0.354372i | ||||
\(55\) | −9.27709 | + | 3.54366i | −1.25092 | + | 0.477826i | ||||
\(56\) | −0.370400 | − | 1.74260i | −0.0494968 | − | 0.232864i | ||||
\(57\) | 5.07041 | − | 4.10968i | 0.671593 | − | 0.544341i | ||||
\(58\) | 0.299836 | − | 5.72122i | 0.0393705 | − | 0.751233i | ||||
\(59\) | 0.344792 | + | 3.28048i | 0.0448881 | + | 0.427082i | 0.993770 | + | 0.111450i | \(0.0355496\pi\) |
−0.948882 | + | 0.315631i | \(0.897784\pi\) | |||||||
\(60\) | 3.68199 | + | 1.20123i | 0.475343 | + | 0.155078i | ||||
\(61\) | 1.05258 | − | 10.0146i | 0.134769 | − | 1.28224i | −0.692904 | − | 0.721030i | \(-0.743669\pi\) |
0.827673 | − | 0.561211i | \(-0.189664\pi\) | |||||||
\(62\) | 7.11194 | + | 1.12642i | 0.903218 | + | 0.143056i | ||||
\(63\) | 0.840779 | + | 5.27803i | 0.105928 | + | 0.664969i | ||||
\(64\) | −0.587785 | + | 0.809017i | −0.0734732 | + | 0.101127i | ||||
\(65\) | −0.755518 | + | 3.52593i | −0.0937104 | + | 0.437337i | ||||
\(66\) | 0.00342721 | + | 7.69240i | 0.000421860 | + | 0.946869i | ||||
\(67\) | 11.1234 | + | 0.582955i | 1.35894 | + | 0.0712192i | 0.717826 | − | 0.696223i | \(-0.245137\pi\) |
0.641118 | + | 0.767442i | \(0.278471\pi\) | |||||||
\(68\) | 1.58938 | + | 5.93166i | 0.192741 | + | 0.719319i | ||||
\(69\) | −4.68647 | − | 6.44433i | −0.564184 | − | 0.775806i | ||||
\(70\) | 2.51205 | − | 3.09172i | 0.300248 | − | 0.369532i | ||||
\(71\) | −3.66720 | + | 1.19154i | −0.435216 | + | 0.141410i | −0.518427 | − | 0.855122i | \(-0.673482\pi\) |
0.0832113 | + | 0.996532i | \(0.473482\pi\) | |||||||
\(72\) | 1.88588 | − | 2.33312i | 0.222253 | − | 0.274961i | ||||
\(73\) | 1.95852 | + | 12.3656i | 0.229227 | + | 1.44728i | 0.786827 | + | 0.617174i | \(0.211723\pi\) |
−0.557599 | + | 0.830110i | \(0.688277\pi\) | |||||||
\(74\) | 4.77392 | + | 8.26867i | 0.554957 | + | 0.961213i | ||||
\(75\) | 3.08057 | + | 8.09383i | 0.355714 | + | 0.934595i | ||||
\(76\) | −1.88411 | + | 3.26338i | −0.216123 | + | 0.374335i | ||||
\(77\) | 7.38661 | + | 2.83545i | 0.841783 | + | 0.323130i | ||||
\(78\) | 2.34322 | + | 1.52022i | 0.265318 | + | 0.172131i | ||||
\(79\) | 0.600522 | + | 0.540713i | 0.0675641 | + | 0.0608349i | 0.702221 | − | 0.711959i | \(-0.252192\pi\) |
−0.634657 | + | 0.772794i | \(0.718859\pi\) | |||||||
\(80\) | −2.23319 | + | 0.113357i | −0.249679 | + | 0.0126736i | ||||
\(81\) | −6.01025 | + | 6.69903i | −0.667805 | + | 0.744336i | ||||
\(82\) | −7.29077 | + | 7.29077i | −0.805131 | + | 0.805131i | ||||
\(83\) | −4.97216 | + | 7.65646i | −0.545766 | + | 0.840405i | −0.998691 | − | 0.0511428i | \(-0.983714\pi\) |
0.452926 | + | 0.891548i | \(0.350380\pi\) | |||||||
\(84\) | −1.54404 | − | 2.67160i | −0.168468 | − | 0.291496i | ||||
\(85\) | −8.08941 | + | 11.0957i | −0.877419 | + | 1.20350i | ||||
\(86\) | −1.96998 | − | 4.42466i | −0.212429 | − | 0.477123i | ||||
\(87\) | −2.57254 | − | 9.58378i | −0.275806 | − | 1.02749i | ||||
\(88\) | −1.59159 | − | 4.14623i | −0.169664 | − | 0.441989i | ||||
\(89\) | 7.69318 | + | 5.58942i | 0.815476 | + | 0.592478i | 0.915413 | − | 0.402516i | \(-0.131864\pi\) |
−0.0999374 | + | 0.994994i | \(0.531864\pi\) | |||||||
\(90\) | 6.70820 | + | 0.00504793i | 0.707107 | + | 0.000532099i | ||||
\(91\) | 2.32427 | − | 1.68868i | 0.243649 | − | 0.177022i | ||||
\(92\) | 3.85826 | + | 2.50558i | 0.402251 | + | 0.261225i | ||||
\(93\) | 12.3174 | − | 1.95651i | 1.27725 | − | 0.202880i | ||||
\(94\) | 3.63477 | − | 3.27276i | 0.374898 | − | 0.337559i | ||||
\(95\) | −8.32442 | + | 1.30444i | −0.854068 | + | 0.133833i | ||||
\(96\) | −0.534499 | + | 1.64752i | −0.0545521 | + | 0.168149i | ||||
\(97\) | 0.188306 | + | 3.59310i | 0.0191196 | + | 0.364824i | 0.991388 | + | 0.130957i | \(0.0418048\pi\) |
−0.972268 | + | 0.233867i | \(0.924862\pi\) | |||||||
\(98\) | 3.77906 | − | 0.598544i | 0.381743 | − | 0.0604621i | ||||
\(99\) | 4.12852 | + | 12.6679i | 0.414932 | + | 1.27317i | ||||
\(100\) | −3.33342 | − | 3.72670i | −0.333342 | − | 0.372670i | ||||
\(101\) | −8.64843 | + | 4.99317i | −0.860550 | + | 0.496839i | −0.864197 | − | 0.503154i | \(-0.832173\pi\) |
0.00364612 | + | 0.999993i | \(0.498839\pi\) | |||||||
\(102\) | 5.79695 | + | 8.91781i | 0.573983 | + | 0.882995i | ||||
\(103\) | −0.425874 | − | 0.655788i | −0.0419626 | − | 0.0646167i | 0.817067 | − | 0.576543i | \(-0.195599\pi\) |
−0.859029 | + | 0.511926i | \(0.828932\pi\) | |||||||
\(104\) | −1.57740 | − | 0.335286i | −0.154676 | − | 0.0328775i | ||||
\(105\) | 2.48039 | − | 6.43857i | 0.242061 | − | 0.628340i | ||||
\(106\) | 0.490622 | − | 0.104285i | 0.0476534 | − | 0.0101290i | ||||
\(107\) | −7.65071 | − | 7.65071i | −0.739622 | − | 0.739622i | 0.232883 | − | 0.972505i | \(-0.425184\pi\) |
−0.972505 | + | 0.232883i | \(0.925184\pi\) | |||||||
\(108\) | 1.85565 | − | 4.85351i | 0.178560 | − | 0.467029i | ||||
\(109\) | 4.48694 | + | 6.17575i | 0.429771 | + | 0.591529i | 0.967901 | − | 0.251333i | \(-0.0808689\pi\) |
−0.538129 | + | 0.842862i | \(0.680869\pi\) | |||||||
\(110\) | 4.97955 | − | 8.59220i | 0.474782 | − | 0.819234i | ||||
\(111\) | 12.2946 | + | 11.0602i | 1.16695 | + | 1.04978i | ||||
\(112\) | 1.38451 | + | 1.12115i | 0.130823 | + | 0.105939i | ||||
\(113\) | −15.3266 | − | 12.4113i | −1.44181 | − | 1.16755i | −0.955955 | − | 0.293512i | \(-0.905176\pi\) |
−0.485852 | − | 0.874041i | \(-0.661491\pi\) | |||||||
\(114\) | −1.35414 | + | 6.38474i | −0.126827 | + | 0.597985i | ||||
\(115\) | 1.05846 | + | 10.2323i | 0.0987018 | + | 0.954168i | ||||
\(116\) | 3.36746 | + | 4.63492i | 0.312661 | + | 0.430341i | ||||
\(117\) | 4.67417 | + | 1.24798i | 0.432127 | + | 0.115376i | ||||
\(118\) | −2.33242 | − | 2.33242i | −0.214717 | − | 0.214717i | ||||
\(119\) | 10.7011 | − | 2.27459i | 0.980969 | − | 0.208511i | ||||
\(120\) | −3.61740 | + | 1.38362i | −0.330222 | + | 0.126307i | ||||
\(121\) | 8.53371 | + | 1.81390i | 0.775792 | + | 0.164900i | ||||
\(122\) | 5.48440 | + | 8.44523i | 0.496534 | + | 0.764595i | ||||
\(123\) | −8.10058 | + | 15.9158i | −0.730405 | + | 1.43508i | ||||
\(124\) | −6.23590 | + | 3.60030i | −0.560000 | + | 0.323316i | ||||
\(125\) | 1.80342 | − | 11.0339i | 0.161303 | − | 0.986905i | ||||
\(126\) | −3.97498 | − | 3.57268i | −0.354119 | − | 0.318280i | ||||
\(127\) | 2.62929 | − | 0.416438i | 0.233311 | − | 0.0369529i | −0.0386838 | − | 0.999252i | \(-0.512317\pi\) |
0.271995 | + | 0.962299i | \(0.412317\pi\) | |||||||
\(128\) | −0.0523360 | − | 0.998630i | −0.00462589 | − | 0.0882672i | ||||
\(129\) | −5.61611 | − | 6.23174i | −0.494471 | − | 0.548674i | ||||
\(130\) | −1.63179 | − | 3.21562i | −0.143117 | − | 0.282029i | ||||
\(131\) | 13.2808 | − | 11.9581i | 1.16035 | − | 1.04478i | 0.162029 | − | 0.986786i | \(-0.448196\pi\) |
0.998317 | − | 0.0579942i | \(-0.0184705\pi\) | |||||||
\(132\) | −4.84365 | − | 5.97596i | −0.421586 | − | 0.520141i | ||||
\(133\) | 5.63015 | + | 3.65627i | 0.488196 | + | 0.317038i | ||||
\(134\) | −9.01140 | + | 6.54716i | −0.778466 | + | 0.565589i | ||||
\(135\) | 11.0514 | − | 3.58706i | 0.951151 | − | 0.308725i | ||||
\(136\) | −4.96809 | − | 3.60953i | −0.426011 | − | 0.309515i | ||||
\(137\) | 0.760998 | + | 1.98247i | 0.0650165 | + | 0.169374i | 0.962240 | − | 0.272204i | \(-0.0877524\pi\) |
−0.897223 | + | 0.441577i | \(0.854419\pi\) | |||||||
\(138\) | 7.69762 | + | 2.05889i | 0.655265 | + | 0.175265i | ||||
\(139\) | −0.849556 | − | 1.90813i | −0.0720584 | − | 0.161846i | 0.873925 | − | 0.486061i | \(-0.161567\pi\) |
−0.945983 | + | 0.324215i | \(0.894900\pi\) | |||||||
\(140\) | −0.00654732 | + | 3.98361i | −0.000553350 | + | 0.336676i | ||||
\(141\) | 4.23251 | − | 7.33848i | 0.356442 | − | 0.618011i | ||||
\(142\) | 2.10008 | − | 3.23384i | 0.176235 | − | 0.271378i | ||||
\(143\) | 5.06434 | − | 5.06434i | 0.423501 | − | 0.423501i | ||||
\(144\) | 0.00267319 | + | 3.00000i | 0.000222766 | + | 0.250000i | ||||
\(145\) | −3.33596 | + | 12.3686i | −0.277036 | + | 1.02716i | ||||
\(146\) | −9.30398 | − | 8.37734i | −0.770003 | − | 0.693314i | ||||
\(147\) | 5.90346 | − | 3.01128i | 0.486909 | − | 0.248366i | ||||
\(148\) | −8.91367 | − | 3.42164i | −0.732699 | − | 0.281257i | ||||
\(149\) | −3.03610 | + | 5.25868i | −0.248727 | + | 0.430808i | −0.963173 | − | 0.268883i | \(-0.913346\pi\) |
0.714446 | + | 0.699691i | \(0.246679\pi\) | |||||||
\(150\) | −7.48767 | − | 4.35142i | −0.611365 | − | 0.355292i | ||||
\(151\) | 2.54734 | + | 4.41212i | 0.207299 | + | 0.359053i | 0.950863 | − | 0.309612i | \(-0.100199\pi\) |
−0.743564 | + | 0.668665i | \(0.766866\pi\) | |||||||
\(152\) | −0.589480 | − | 3.72183i | −0.0478132 | − | 0.301880i | ||||
\(153\) | 14.3275 | + | 11.5810i | 1.15831 | + | 0.936270i | ||||
\(154\) | −7.52489 | + | 2.44498i | −0.606373 | + | 0.197022i | ||||
\(155\) | −15.0221 | − | 5.79479i | −1.20660 | − | 0.465448i | ||||
\(156\) | −2.77773 | + | 0.293203i | −0.222397 | + | 0.0234750i | ||||
\(157\) | −5.28424 | − | 19.7211i | −0.421728 | − | 1.57391i | −0.770965 | − | 0.636877i | \(-0.780226\pi\) |
0.349237 | − | 0.937035i | \(-0.386441\pi\) | |||||||
\(158\) | −0.806975 | − | 0.0422918i | −0.0641995 | − | 0.00336455i | ||||
\(159\) | 0.752181 | − | 0.434719i | 0.0596518 | − | 0.0344754i | ||||
\(160\) | 1.66418 | − | 1.49349i | 0.131565 | − | 0.118071i | ||||
\(161\) | 4.81738 | − | 6.63055i | 0.379663 | − | 0.522561i | ||||
\(162\) | 0.455006 | − | 8.98849i | 0.0357486 | − | 0.706203i | ||||
\(163\) | −16.3097 | − | 2.58320i | −1.27747 | − | 0.202332i | −0.519416 | − | 0.854522i | \(-0.673850\pi\) |
−0.758055 | + | 0.652190i | \(0.773850\pi\) | |||||||
\(164\) | 1.07776 | − | 10.2542i | 0.0841591 | − | 0.800721i | ||||
\(165\) | 3.59639 | − | 16.8206i | 0.279978 | − | 1.30948i | ||||
\(166\) | −0.954270 | − | 9.07927i | −0.0740657 | − | 0.704688i | ||||
\(167\) | 0.131976 | − | 2.51824i | 0.0102126 | − | 0.194868i | −0.988759 | − | 0.149520i | \(-0.952227\pi\) |
0.998971 | − | 0.0453475i | \(-0.0144395\pi\) | |||||||
\(168\) | 2.88124 | + | 1.10453i | 0.222292 | + | 0.0852163i | ||||
\(169\) | 2.16216 | + | 10.1722i | 0.166320 | + | 0.782474i | ||||
\(170\) | −0.696111 | − | 13.7138i | −0.0533893 | − | 1.05180i | ||||
\(171\) | 1.19168 | + | 11.2417i | 0.0911299 | + | 0.859673i | ||||
\(172\) | 4.31549 | + | 2.19885i | 0.329053 | + | 0.167661i | ||||
\(173\) | 10.6512 | + | 13.1532i | 0.809799 | + | 1.00002i | 0.999834 | + | 0.0182415i | \(0.00580678\pi\) |
−0.190034 | + | 0.981777i | \(0.560860\pi\) | |||||||
\(174\) | 8.03051 | + | 5.82904i | 0.608791 | + | 0.441899i | ||||
\(175\) | −6.94092 | + | 5.58297i | −0.524684 | + | 0.422033i | ||||
\(176\) | 3.84620 | + | 2.22061i | 0.289918 | + | 0.167384i | ||||
\(177\) | −5.09170 | − | 2.59149i | −0.382715 | − | 0.194789i | ||||
\(178\) | −9.49626 | + | 0.497678i | −0.711775 | + | 0.0373025i | ||||
\(179\) | 0.186994 | + | 0.575509i | 0.0139766 | + | 0.0430155i | 0.957802 | − | 0.287430i | \(-0.0928009\pi\) |
−0.943825 | + | 0.330446i | \(0.892801\pi\) | |||||||
\(180\) | −5.21643 | + | 4.21769i | −0.388810 | + | 0.314368i | ||||
\(181\) | 1.80091 | − | 5.54262i | 0.133860 | − | 0.411980i | −0.861551 | − | 0.507672i | \(-0.830506\pi\) |
0.995411 | + | 0.0956917i | \(0.0305063\pi\) | |||||||
\(182\) | −0.743574 | + | 2.77506i | −0.0551174 | + | 0.205701i | ||||
\(183\) | 13.5594 | + | 10.9702i | 1.00234 | + | 0.810939i | ||||
\(184\) | −4.57525 | + | 0.480878i | −0.337292 | + | 0.0354508i | ||||
\(185\) | −6.56401 | − | 20.3155i | −0.482596 | − | 1.49363i | ||||
\(186\) | −8.34113 | + | 9.27207i | −0.611601 | + | 0.679861i | ||||
\(187\) | 25.4616 | − | 9.77378i | 1.86194 | − | 0.714730i | ||||
\(188\) | −0.765131 | + | 4.83084i | −0.0558029 | + | 0.352326i | ||||
\(189\) | −8.46179 | − | 3.75389i | −0.615504 | − | 0.273055i | ||||
\(190\) | 5.64838 | − | 6.25247i | 0.409777 | − | 0.453602i | ||||
\(191\) | −2.88947 | + | 6.48985i | −0.209075 | + | 0.469589i | −0.987394 | − | 0.158279i | \(-0.949406\pi\) |
0.778320 | + | 0.627868i | \(0.216072\pi\) | |||||||
\(192\) | −0.621432 | − | 1.61673i | −0.0448480 | − | 0.116678i | ||||
\(193\) | −17.4128 | + | 4.66574i | −1.25340 | + | 0.335847i | −0.823649 | − | 0.567101i | \(-0.808065\pi\) |
−0.429750 | + | 0.902948i | \(0.641398\pi\) | |||||||
\(194\) | −2.40755 | − | 2.67386i | −0.172852 | − | 0.191972i | ||||
\(195\) | −4.41109 | − | 4.42167i | −0.315885 | − | 0.316642i | ||||
\(196\) | −2.56020 | + | 2.84340i | −0.182872 | + | 0.203100i | ||||
\(197\) | −9.29176 | + | 18.2361i | −0.662010 | + | 1.29927i | 0.278804 | + | 0.960348i | \(0.410062\pi\) |
−0.940815 | + | 0.338921i | \(0.889938\pi\) | |||||||
\(198\) | −11.1806 | − | 7.24661i | −0.794571 | − | 0.514994i | ||||
\(199\) | 12.5222i | 0.887672i | 0.896108 | + | 0.443836i | \(0.146383\pi\) | ||||
−0.896108 | + | 0.443836i | \(0.853617\pi\) | |||||||
\(200\) | 4.93584 | + | 0.798401i | 0.349017 | + | 0.0564555i | ||||
\(201\) | −11.3331 | + | 15.6132i | −0.799373 | + | 1.10127i | ||||
\(202\) | 3.57878 | − | 9.32305i | 0.251802 | − | 0.655968i | ||||
\(203\) | 8.55988 | − | 5.55885i | 0.600786 | − | 0.390155i | ||||
\(204\) | −10.1172 | − | 3.28231i | −0.708348 | − | 0.229807i | ||||
\(205\) | 19.3565 | − | 12.5251i | 1.35192 | − | 0.874791i | ||||
\(206\) | 0.743667 | + | 0.241632i | 0.0518138 | + | 0.0168353i | ||||
\(207\) | 13.7818 | − | 0.734587i | 0.957900 | − | 0.0510573i | ||||
\(208\) | 1.43687 | − | 0.732121i | 0.0996289 | − | 0.0507635i | ||||
\(209\) | 15.2886 | + | 6.80693i | 1.05754 | + | 0.470846i | ||||
\(210\) | 2.12430 | + | 6.56467i | 0.146591 | + | 0.453005i | ||||
\(211\) | −8.42725 | + | 3.75205i | −0.580156 | + | 0.258302i | −0.675765 | − | 0.737117i | \(-0.736187\pi\) |
0.0956095 | + | 0.995419i | \(0.469520\pi\) | |||||||
\(212\) | −0.315656 | + | 0.389803i | −0.0216794 | + | 0.0267718i | ||||
\(213\) | 1.72569 | − | 6.45185i | 0.118242 | − | 0.442073i | ||||
\(214\) | 10.7605 | + | 1.13097i | 0.735570 | + | 0.0773115i | ||||
\(215\) | 2.23430 | + | 10.5972i | 0.152378 | + | 0.722721i | ||||
\(216\) | 1.61230 | + | 4.93968i | 0.109703 | + | 0.336103i | ||||
\(217\) | 5.82381 | + | 11.4299i | 0.395346 | + | 0.775910i | ||||
\(218\) | −7.37353 | − | 1.97573i | −0.499399 | − | 0.133813i | ||||
\(219\) | −19.8140 | − | 8.81119i | −1.33891 | − | 0.595405i | ||||
\(220\) | 1.53740 | + | 9.81113i | 0.103652 | + | 0.661466i | ||||
\(221\) | 2.05896 | − | 9.68663i | 0.138500 | − | 0.651593i | ||||
\(222\) | −16.5151 | − | 0.858140i | −1.10842 | − | 0.0575946i | ||||
\(223\) | −7.69934 | + | 6.23480i | −0.515586 | + | 0.417513i | −0.851481 | − | 0.524386i | \(-0.824295\pi\) |
0.335894 | + | 0.941900i | \(0.390961\pi\) | |||||||
\(224\) | −1.78153 | −0.119033 | ||||||||
\(225\) | −14.6647 | − | 3.15382i | −0.977647 | − | 0.210255i | ||||
\(226\) | 19.7217 | 1.31187 | ||||||||
\(227\) | 9.31843 | − | 7.54591i | 0.618486 | − | 0.500840i | −0.268108 | − | 0.963389i | \(-0.586398\pi\) |
0.886594 | + | 0.462549i | \(0.153065\pi\) | |||||||
\(228\) | −2.96568 | − | 5.81406i | −0.196407 | − | 0.385046i | ||||
\(229\) | 5.00704 | − | 23.5563i | 0.330875 | − | 1.55664i | −0.427005 | − | 0.904249i | \(-0.640431\pi\) |
0.757880 | − | 0.652394i | \(-0.226235\pi\) | |||||||
\(230\) | −7.26198 | − | 7.28589i | −0.478841 | − | 0.480417i | ||||
\(231\) | −11.0834 | + | 8.06008i | −0.729231 | + | 0.530314i | ||||
\(232\) | −5.53386 | − | 1.48279i | −0.363316 | − | 0.0973501i | ||||
\(233\) | −6.16382 | − | 12.0972i | −0.403805 | − | 0.792512i | 0.596141 | − | 0.802880i | \(-0.296700\pi\) |
−0.999946 | + | 0.0103674i | \(0.996700\pi\) | |||||||
\(234\) | −4.41789 | + | 1.97169i | −0.288807 | + | 0.128893i | ||||
\(235\) | −9.48047 | + | 5.45280i | −0.618438 | + | 0.355701i | ||||
\(236\) | 3.28048 | + | 0.344792i | 0.213541 | + | 0.0224440i | ||||
\(237\) | −1.35179 | + | 0.362856i | −0.0878080 | + | 0.0235700i | ||||
\(238\) | −6.88487 | + | 8.50211i | −0.446280 | + | 0.551110i | ||||
\(239\) | 12.7456 | − | 5.67472i | 0.824446 | − | 0.367067i | 0.0492491 | − | 0.998787i | \(-0.484317\pi\) |
0.775197 | + | 0.631719i | \(0.217651\pi\) | |||||||
\(240\) | 1.94051 | − | 3.35178i | 0.125259 | − | 0.216356i | ||||
\(241\) | 7.42090 | + | 3.30400i | 0.478022 | + | 0.212829i | 0.631580 | − | 0.775310i | \(-0.282407\pi\) |
−0.153558 | + | 0.988140i | \(0.549073\pi\) | |||||||
\(242\) | −7.77346 | + | 3.96078i | −0.499697 | + | 0.254608i | ||||
\(243\) | −4.06812 | − | 15.0483i | −0.260970 | − | 0.965347i | ||||
\(244\) | −9.57693 | − | 3.11173i | −0.613100 | − | 0.199208i | ||||
\(245\) | −8.54309 | − | 0.461806i | −0.545798 | − | 0.0295037i | ||||
\(246\) | −3.72081 | − | 17.4668i | −0.237230 | − | 1.11364i | ||||
\(247\) | 5.09641 | − | 3.30965i | 0.324277 | − | 0.210588i | ||||
\(248\) | 2.58046 | − | 6.72233i | 0.163860 | − | 0.426869i | ||||
\(249\) | −6.43791 | − | 14.4425i | −0.407986 | − | 0.915254i | ||||
\(250\) | 5.54236 | + | 9.70990i | 0.350530 | + | 0.614108i | ||||
\(251\) | − | 27.4754i | − | 1.73423i | −0.498105 | − | 0.867117i | \(-0.665971\pi\) | ||
0.498105 | − | 0.867117i | \(-0.334029\pi\) | |||||||
\(252\) | 5.33750 | + | 0.274958i | 0.336231 | + | 0.0173207i | ||||
\(253\) | 9.27573 | − | 18.2047i | 0.583160 | − | 1.14452i | ||||
\(254\) | −1.78127 | + | 1.97830i | −0.111767 | + | 0.124129i | ||||
\(255\) | −8.49668 | − | 22.2141i | −0.532083 | − | 1.39110i | ||||
\(256\) | 0.669131 | + | 0.743145i | 0.0418207 | + | 0.0464466i | ||||
\(257\) | −28.3696 | + | 7.60160i | −1.76964 | + | 0.474175i | −0.988634 | − | 0.150344i | \(-0.951962\pi\) |
−0.781010 | + | 0.624518i | \(0.785295\pi\) | |||||||
\(258\) | 8.28630 | + | 1.30864i | 0.515882 | + | 0.0814722i | ||||
\(259\) | −6.91848 | + | 15.5392i | −0.429893 | + | 0.965556i | ||||
\(260\) | 3.29179 | + | 1.47209i | 0.204148 | + | 0.0912951i | ||||
\(261\) | 16.3507 | + | 5.29657i | 1.01209 | + | 0.327850i | ||||
\(262\) | −2.79565 | + | 17.6510i | −0.172716 | + | 1.09048i | ||||
\(263\) | 24.1460 | − | 9.26877i | 1.48890 | − | 0.571537i | 0.528202 | − | 0.849119i | \(-0.322866\pi\) |
0.960702 | + | 0.277582i | \(0.0895330\pi\) | |||||||
\(264\) | 7.52502 | + | 1.59599i | 0.463133 | + | 0.0982263i | ||||
\(265\) | −1.12157 | − | 0.00184338i | −0.0688976 | − | 0.000113238i | ||||
\(266\) | −6.67641 | + | 0.701719i | −0.409357 | + | 0.0430252i | ||||
\(267\) | −15.3740 | + | 5.90938i | −0.940872 | + | 0.361648i | ||||
\(268\) | 2.88291 | − | 10.7592i | 0.176102 | − | 0.657220i | ||||
\(269\) | −3.61270 | + | 11.1188i | −0.220270 | + | 0.677922i | 0.778467 | + | 0.627685i | \(0.215998\pi\) |
−0.998737 | + | 0.0502368i | \(0.984002\pi\) | |||||||
\(270\) | −6.33112 | + | 9.74253i | −0.385300 | + | 0.592911i | ||||
\(271\) | −1.90257 | − | 5.85550i | −0.115573 | − | 0.355696i | 0.876493 | − | 0.481414i | \(-0.159877\pi\) |
−0.992066 | + | 0.125718i | \(0.959877\pi\) | |||||||
\(272\) | 6.13249 | − | 0.321390i | 0.371837 | − | 0.0194871i | ||||
\(273\) | 0.262643 | + | 4.96916i | 0.0158959 | + | 0.300747i | ||||
\(274\) | −1.83901 | − | 1.06176i | −0.111099 | − | 0.0641430i | ||||
\(275\) | −14.9129 | + | 16.4534i | −0.899283 | + | 0.992176i | ||||
\(276\) | −7.27788 | + | 3.24421i | −0.438077 | + | 0.195278i | ||||
\(277\) | 2.03081 | + | 2.50784i | 0.122019 | + | 0.150681i | 0.834495 | − | 0.551015i | \(-0.185759\pi\) |
−0.712476 | + | 0.701697i | \(0.752426\pi\) | |||||||
\(278\) | 1.86106 | + | 0.948256i | 0.111619 | + | 0.0568726i | ||||
\(279\) | −8.76865 | + | 19.7420i | −0.524965 | + | 1.18192i | ||||
\(280\) | −2.50188 | − | 3.09996i | −0.149516 | − | 0.185258i | ||||
\(281\) | 2.16201 | + | 10.1715i | 0.128975 | + | 0.606779i | 0.994395 | + | 0.105731i | \(0.0337184\pi\) |
−0.865420 | + | 0.501047i | \(0.832948\pi\) | |||||||
\(282\) | 1.32897 | + | 8.36668i | 0.0791392 | + | 0.498228i | ||||
\(283\) | −0.0288926 | + | 0.551303i | −0.00171749 | + | 0.0327716i | −0.999354 | − | 0.0359431i | \(-0.988556\pi\) |
0.997636 | + | 0.0687147i | \(0.0218898\pi\) | |||||||
\(284\) | 0.403053 | + | 3.83479i | 0.0239168 | + | 0.227553i | ||||
\(285\) | 5.95199 | − | 13.3254i | 0.352566 | − | 0.789329i | ||||
\(286\) | −0.748638 | + | 7.12282i | −0.0442679 | + | 0.421181i | ||||
\(287\) | −18.1426 | − | 2.87351i | −1.07093 | − | 0.169618i | ||||
\(288\) | −1.89004 | − | 2.32975i | −0.111372 | − | 0.137282i | ||||
\(289\) | 12.1734 | − | 16.7553i | 0.716084 | − | 0.985605i | ||||
\(290\) | −5.19130 | − | 11.7116i | −0.304843 | − | 0.687729i | ||||
\(291\) | −5.39843 | − | 3.11358i | −0.316462 | − | 0.182521i | ||||
\(292\) | 12.5026 | + | 0.655233i | 0.731658 | + | 0.0383446i | ||||
\(293\) | −3.25087 | − | 12.1324i | −0.189918 | − | 0.708784i | −0.993524 | − | 0.113622i | \(-0.963755\pi\) |
0.803606 | − | 0.595162i | \(-0.202912\pi\) | |||||||
\(294\) | −2.69279 | + | 6.05537i | −0.157047 | + | 0.353156i | ||||
\(295\) | 4.00696 | + | 6.19244i | 0.233294 | + | 0.360538i | ||||
\(296\) | 9.08053 | − | 2.95044i | 0.527795 | − | 0.171491i | ||||
\(297\) | −22.2988 | − | 5.94302i | −1.29391 | − | 0.344849i | ||||
\(298\) | −0.949902 | − | 5.99745i | −0.0550264 | − | 0.347423i | ||||
\(299\) | −3.70942 | − | 6.42491i | −0.214521 | − | 0.371562i | ||||
\(300\) | 8.55745 | − | 1.33045i | 0.494064 | − | 0.0768136i | ||||
\(301\) | 4.31431 | − | 7.47261i | 0.248673 | − | 0.430714i | ||||
\(302\) | −4.75629 | − | 1.82577i | −0.273694 | − | 0.105061i | ||||
\(303\) | 0.897551 | − | 17.2735i | 0.0515630 | − | 0.992339i | ||||
\(304\) | 2.80034 | + | 2.52143i | 0.160610 | + | 0.144614i | ||||
\(305\) | −8.03471 | − | 21.0344i | −0.460066 | − | 1.20443i | ||||
\(306\) | −18.4227 | + | 0.0164158i | −1.05316 | + | 0.000938428i | ||||
\(307\) | −18.6930 | + | 18.6930i | −1.06686 | + | 1.06686i | −0.0692654 | + | 0.997598i | \(0.522066\pi\) |
−0.997598 | + | 0.0692654i | \(0.977934\pi\) | |||||||
\(308\) | 4.30926 | − | 6.63567i | 0.245543 | − | 0.378103i | ||||
\(309\) | 1.35436 | 0.000603408i | 0.0770466 | 3.43267e-5i | ||||||
\(310\) | 15.3211 | − | 4.95031i | 0.870182 | − | 0.281159i | ||||
\(311\) | 11.0688 | + | 24.8609i | 0.627654 | + | 1.40973i | 0.894970 | + | 0.446125i | \(0.147196\pi\) |
−0.267316 | + | 0.963609i | \(0.586137\pi\) | |||||||
\(312\) | 1.97419 | − | 1.97595i | 0.111766 | − | 0.111866i | ||||
\(313\) | 7.19521 | + | 18.7442i | 0.406697 | + | 1.05948i | 0.972079 | + | 0.234653i | \(0.0753954\pi\) |
−0.565382 | + | 0.824829i | \(0.691271\pi\) | |||||||
\(314\) | 16.5175 | + | 12.0007i | 0.932136 | + | 0.677236i | ||||
\(315\) | 7.01725 | + | 9.67371i | 0.395377 | + | 0.545052i | ||||
\(316\) | 0.653753 | − | 0.474979i | 0.0367765 | − | 0.0267197i | ||||
\(317\) | −21.4634 | − | 13.9385i | −1.20551 | − | 0.782865i | −0.224055 | − | 0.974577i | \(-0.571929\pi\) |
−0.981451 | + | 0.191712i | \(0.938596\pi\) | |||||||
\(318\) | −0.310977 | + | 0.811202i | −0.0174387 | + | 0.0454900i | ||||
\(319\) | 18.9086 | − | 17.0254i | 1.05868 | − | 0.953238i | ||||
\(320\) | −0.353427 | + | 2.20796i | −0.0197572 | + | 0.123429i | ||||
\(321\) | 18.3291 | − | 3.90450i | 1.02303 | − | 0.217928i | ||||
\(322\) | 0.428936 | + | 8.18458i | 0.0239037 | + | 0.456109i | ||||
\(323\) | 22.8554 | − | 3.61994i | 1.27171 | − | 0.201419i | ||||
\(324\) | 5.30303 | + | 7.27171i | 0.294613 | + | 0.403984i | ||||
\(325\) | 2.06129 | + | 7.79525i | 0.114340 | + | 0.432403i | ||||
\(326\) | 14.3006 | − | 8.25648i | 0.792039 | − | 0.457284i | ||||
\(327\) | −13.2034 | + | 0.697861i | −0.730151 | + | 0.0385918i | ||||
\(328\) | 5.61562 | + | 8.64729i | 0.310070 | + | 0.477467i | ||||
\(329\) | 8.52314 | + | 1.81165i | 0.469896 | + | 0.0998795i | ||||
\(330\) | 7.79061 | + | 15.3353i | 0.428859 | + | 0.844181i | ||||
\(331\) | −13.0882 | + | 2.78198i | −0.719392 | + | 0.152911i | −0.553040 | − | 0.833155i | \(-0.686532\pi\) |
−0.166352 | + | 0.986066i | \(0.553199\pi\) | |||||||
\(332\) | 6.45538 | + | 6.45538i | 0.354285 | + | 0.354285i | ||||
\(333\) | −27.6609 | + | 7.43814i | −1.51581 | + | 0.407607i | ||||
\(334\) | 1.48222 | + | 2.04010i | 0.0811034 | + | 0.111629i | ||||
\(335\) | 22.7702 | − | 10.0931i | 1.24407 | − | 0.551447i | ||||
\(336\) | −2.93424 | + | 0.954839i | −0.160076 | + | 0.0520907i | ||||
\(337\) | 7.30368 | + | 5.91440i | 0.397857 | + | 0.322178i | 0.807282 | − | 0.590166i | \(-0.200938\pi\) |
−0.409426 | + | 0.912343i | \(0.634271\pi\) | |||||||
\(338\) | −8.08186 | − | 6.54456i | −0.439595 | − | 0.355977i | ||||
\(339\) | 32.4824 | − | 10.5702i | 1.76420 | − | 0.574093i | ||||
\(340\) | 9.17137 | + | 10.2196i | 0.497387 | + | 0.554234i | ||||
\(341\) | 18.7970 | + | 25.8718i | 1.01791 | + | 1.40104i | ||||
\(342\) | −8.00073 | − | 7.98649i | −0.432630 | − | 0.431860i | ||||
\(343\) | 13.6380 | + | 13.6380i | 0.736385 | + | 0.736385i | ||||
\(344\) | −4.73755 | + | 1.00700i | −0.255432 | + | 0.0542937i | ||||
\(345\) | −15.8658 | − | 8.10797i | −0.854184 | − | 0.436518i | ||||
\(346\) | −16.5551 | − | 3.51891i | −0.890010 | − | 0.189178i | ||||
\(347\) | 1.45122 | + | 2.23468i | 0.0779056 | + | 0.119964i | 0.875476 | − | 0.483262i | \(-0.160548\pi\) |
−0.797570 | + | 0.603226i | \(0.793882\pi\) | |||||||
\(348\) | −9.90921 | + | 0.523747i | −0.531190 | + | 0.0280758i | ||||
\(349\) | −18.0069 | + | 10.3963i | −0.963885 | + | 0.556499i | −0.897367 | − | 0.441286i | \(-0.854522\pi\) |
−0.0665185 | + | 0.997785i | \(0.521189\pi\) | |||||||
\(350\) | 1.88063 | − | 8.70684i | 0.100524 | − | 0.465400i | ||||
\(351\) | −6.21968 | + | 5.61530i | −0.331982 | + | 0.299722i | ||||
\(352\) | −4.38653 | + | 0.694759i | −0.233803 | + | 0.0370308i | ||||
\(353\) | −0.120441 | − | 2.29815i | −0.00641043 | − | 0.122318i | −0.999960 | − | 0.00892146i | \(-0.997160\pi\) |
0.993550 | − | 0.113397i | \(-0.0361732\pi\) | |||||||
\(354\) | 5.58787 | − | 1.19034i | 0.296992 | − | 0.0632659i | ||||
\(355\) | −6.10675 | + | 6.08671i | −0.324113 | + | 0.323049i | ||||
\(356\) | 7.06678 | − | 6.36296i | 0.374539 | − | 0.337236i | ||||
\(357\) | −6.78281 | + | 17.6934i | −0.358984 | + | 0.936433i | ||||
\(358\) | −0.507501 | − | 0.329575i | −0.0268223 | − | 0.0174186i | ||||
\(359\) | 10.0128 | − | 7.27470i | 0.528453 | − | 0.383944i | −0.291326 | − | 0.956624i | \(-0.594096\pi\) |
0.819779 | + | 0.572680i | \(0.194096\pi\) | |||||||
\(360\) | 1.39965 | − | 6.56056i | 0.0737681 | − | 0.345772i | ||||
\(361\) | −3.88367 | − | 2.82165i | −0.204404 | − | 0.148508i | ||||
\(362\) | 2.08852 | + | 5.44078i | 0.109770 | + | 0.285961i | ||||
\(363\) | −10.6804 | + | 10.6899i | −0.560573 | + | 0.561073i | ||||
\(364\) | −1.16853 | − | 2.62457i | −0.0612478 | − | 0.137565i | ||||
\(365\) | 16.4178 | + | 22.6754i | 0.859347 | + | 1.18689i | ||||
\(366\) | −17.4414 | + | 0.00777068i | −0.911675 | + | 0.000406180i | ||||
\(367\) | 8.20418 | − | 12.6333i | 0.428255 | − | 0.659454i | −0.557007 | − | 0.830508i | \(-0.688050\pi\) |
0.985262 | + | 0.171053i | \(0.0547170\pi\) | |||||||
\(368\) | 3.25301 | − | 3.25301i | 0.169575 | − | 0.169575i | ||||
\(369\) | −15.4899 | − | 26.7742i | −0.806374 | − | 1.39381i | ||||
\(370\) | 17.8862 | + | 11.6572i | 0.929857 | + | 0.606031i | ||||
\(371\) | 0.664061 | + | 0.597924i | 0.0344763 | + | 0.0310426i | ||||
\(372\) | 0.647174 | − | 12.4550i | 0.0335544 | − | 0.645761i | ||||
\(373\) | −5.89789 | − | 2.26399i | −0.305381 | − | 0.117225i | 0.200852 | − | 0.979622i | \(-0.435629\pi\) |
−0.506233 | + | 0.862397i | \(0.668962\pi\) | |||||||
\(374\) | −13.6365 | + | 23.6191i | −0.705128 | + | 1.22132i | ||||
\(375\) | 14.3327 | + | 13.0221i | 0.740136 | + | 0.672457i | ||||
\(376\) | −2.44553 | − | 4.23578i | −0.126119 | − | 0.218444i | ||||
\(377\) | −1.44528 | − | 9.12516i | −0.0744358 | − | 0.469969i | ||||
\(378\) | 8.93844 | − | 2.40786i | 0.459744 | − | 0.123847i | ||||
\(379\) | 25.8903 | − | 8.41226i | 1.32989 | − | 0.432109i | 0.444012 | − | 0.896021i | \(-0.353555\pi\) |
0.885881 | + | 0.463912i | \(0.153555\pi\) | |||||||
\(380\) | −0.454812 | + | 8.41372i | −0.0233314 | + | 0.431615i | ||||
\(381\) | −1.87351 | + | 4.21303i | −0.0959830 | + | 0.215840i | ||||
\(382\) | −1.83866 | − | 6.86196i | −0.0940739 | − | 0.351089i | ||||
\(383\) | −12.3573 | − | 0.647621i | −0.631431 | − | 0.0330919i | −0.266064 | − | 0.963955i | \(-0.585723\pi\) |
−0.365367 | + | 0.930864i | \(0.619057\pi\) | |||||||
\(384\) | 1.50039 | + | 0.865357i | 0.0765662 | + | 0.0441601i | ||||
\(385\) | 17.5982 | − | 1.82040i | 0.896885 | − | 0.0927763i | ||||
\(386\) | 10.5960 | − | 14.5842i | 0.539323 | − | 0.742315i | ||||
\(387\) | 14.3492 | − | 2.28581i | 0.729413 | − | 0.116194i | ||||
\(388\) | 3.55373 | + | 0.562856i | 0.180413 | + | 0.0285747i | ||||
\(389\) | 2.02983 | − | 19.3126i | 0.102917 | − | 0.979187i | −0.814205 | − | 0.580578i | \(-0.802827\pi\) |
0.917121 | − | 0.398609i | \(-0.130507\pi\) | |||||||
\(390\) | 6.21071 | + | 0.660295i | 0.314491 | + | 0.0334354i | ||||
\(391\) | −2.95302 | − | 28.0961i | −0.149341 | − | 1.42088i | ||||
\(392\) | 0.200246 | − | 3.82092i | 0.0101140 | − | 0.192986i | ||||
\(393\) | 4.85582 | + | 30.5703i | 0.244944 | + | 1.54207i | ||||
\(394\) | −4.25530 | − | 20.0196i | −0.214379 | − | 1.00857i | ||||
\(395\) | 1.74459 | + | 0.470535i | 0.0877797 | + | 0.0236752i | ||||
\(396\) | 13.2494 | − | 1.40451i | 0.665807 | − | 0.0705791i | ||||
\(397\) | 0.471353 | + | 0.240166i | 0.0236565 | + | 0.0120536i | 0.465779 | − | 0.884901i | \(-0.345774\pi\) |
−0.442122 | + | 0.896955i | \(0.645774\pi\) | |||||||
\(398\) | −7.88045 | − | 9.73154i | −0.395011 | − | 0.487798i | ||||
\(399\) | −10.6202 | + | 4.73410i | −0.531676 | + | 0.237001i | ||||
\(400\) | −4.33832 | + | 2.48575i | −0.216916 | + | 0.124288i | ||||
\(401\) | 22.3782 | + | 12.9200i | 1.11751 | + | 0.645196i | 0.940765 | − | 0.339060i | \(-0.110109\pi\) |
0.176748 | + | 0.984256i | \(0.443442\pi\) | |||||||
\(402\) | −1.01829 | − | 19.2659i | −0.0507877 | − | 0.960896i | ||||
\(403\) | 11.5960 | − | 0.607722i | 0.577639 | − | 0.0302728i | ||||
\(404\) | 3.08595 | + | 9.49757i | 0.153532 | + | 0.472522i | ||||
\(405\) | −5.20594 | + | 19.4396i | −0.258685 | + | 0.965962i | ||||
\(406\) | −3.15398 | + | 9.70695i | −0.156529 | + | 0.481748i | ||||
\(407\) | −10.9750 | + | 40.9591i | −0.544008 | + | 2.03027i | ||||
\(408\) | 9.92819 | − | 3.81615i | 0.491519 | − | 0.188928i | ||||
\(409\) | 22.0052 | − | 2.31284i | 1.08809 | − | 0.114362i | 0.456541 | − | 0.889702i | \(-0.349088\pi\) |
0.631544 | + | 0.775340i | \(0.282421\pi\) | |||||||
\(410\) | −7.16055 | + | 21.9153i | −0.353635 | + | 1.08232i | ||||
\(411\) | −3.59800 | − | 0.763102i | −0.177476 | − | 0.0376411i | ||||
\(412\) | −0.730002 | + | 0.280222i | −0.0359646 | + | 0.0138055i | ||||
\(413\) | 0.919279 | − | 5.80410i | 0.0452347 | − | 0.285601i | ||||
\(414\) | −10.2482 | + | 9.24404i | −0.503670 | + | 0.454320i | ||||
\(415\) | −2.16718 | + | 20.2983i | −0.106382 | + | 0.996406i | ||||
\(416\) | −0.655918 | + | 1.47322i | −0.0321590 | + | 0.0722303i | ||||
\(417\) | 3.57347 | + | 0.564350i | 0.174993 | + | 0.0276363i | ||||
\(418\) | −16.1652 | + | 4.33146i | −0.790668 | + | 0.211859i | ||||
\(419\) | −6.93008 | − | 7.69663i | −0.338557 | − | 0.376005i | 0.549693 | − | 0.835367i | \(-0.314745\pi\) |
−0.888249 | + | 0.459362i | \(0.848078\pi\) | |||||||
\(420\) | −5.78217 | − | 3.76484i | −0.282141 | − | 0.183705i | ||||
\(421\) | −21.4538 | + | 23.8269i | −1.04560 | + | 1.16125i | −0.0589679 | + | 0.998260i | \(0.518781\pi\) |
−0.986627 | + | 0.162991i | \(0.947886\pi\) | |||||||
\(422\) | 4.18796 | − | 8.21933i | 0.203867 | − | 0.400111i | ||||
\(423\) | 6.67313 | + | 13.0680i | 0.324459 | + | 0.635386i | ||||
\(424\) | − | 0.501583i | − | 0.0243590i | ||||||
\(425\) | −4.90290 | + | 30.3105i | −0.237826 | + | 1.47028i | ||||
\(426\) | 2.71917 | + | 6.10004i | 0.131744 | + | 0.295548i | ||||
\(427\) | −6.42897 | + | 16.7480i | −0.311120 | + | 0.810494i | ||||
\(428\) | −9.07419 | + | 5.89285i | −0.438618 | + | 0.284842i | ||||
\(429\) | 2.58456 | + | 12.1328i | 0.124784 | + | 0.585778i | ||||
\(430\) | −8.40539 | − | 6.82946i | −0.405344 | − | 0.329346i | ||||
\(431\) | −6.30829 | − | 2.04969i | −0.303860 | − | 0.0987300i | 0.153119 | − | 0.988208i | \(-0.451068\pi\) |
−0.456978 | + | 0.889478i | \(0.651068\pi\) | |||||||
\(432\) | −4.36164 | − | 2.82420i | −0.209849 | − | 0.135879i | ||||
\(433\) | 14.4935 | − | 7.38481i | 0.696513 | − | 0.354891i | −0.0696196 | − | 0.997574i | \(-0.522179\pi\) |
0.766133 | + | 0.642682i | \(0.222179\pi\) | |||||||
\(434\) | −11.7190 | − | 5.21764i | −0.562530 | − | 0.250455i | ||||
\(435\) | −14.8273 | − | 16.5071i | −0.710915 | − | 0.791456i | ||||
\(436\) | 6.97368 | − | 3.10488i | 0.333979 | − | 0.148697i | ||||
\(437\) | 10.9096 | − | 13.4722i | 0.521877 | − | 0.644464i | ||||
\(438\) | 20.9434 | − | 5.62178i | 1.00072 | − | 0.268619i | ||||
\(439\) | −7.06808 | − | 0.742885i | −0.337341 | − | 0.0354560i | −0.0656563 | − | 0.997842i | \(-0.520914\pi\) |
−0.271685 | + | 0.962386i | \(0.587581\pi\) | |||||||
\(440\) | −7.36913 | − | 6.65716i | −0.351309 | − | 0.317368i | ||||
\(441\) | −1.18966 | + | 11.4167i | −0.0566503 | + | 0.543652i | ||||
\(442\) | 4.49588 | + | 8.82367i | 0.213847 | + | 0.419699i | ||||
\(443\) | 6.51485 | + | 1.74565i | 0.309530 | + | 0.0829383i | 0.410240 | − | 0.911978i | \(-0.365445\pi\) |
−0.100710 | + | 0.994916i | \(0.532112\pi\) | |||||||
\(444\) | 13.3747 | − | 9.72636i | 0.634733 | − | 0.461593i | ||||
\(445\) | 20.9961 | + | 3.36085i | 0.995313 | + | 0.159319i | ||||
\(446\) | 2.05982 | − | 9.69071i | 0.0975355 | − | 0.458868i | ||||
\(447\) | −4.77896 | − | 9.36892i | −0.226037 | − | 0.443135i | ||||
\(448\) | 1.38451 | − | 1.12115i | 0.0654117 | − | 0.0529694i | ||||
\(449\) | −6.11578 | −0.288622 | −0.144311 | − | 0.989532i | \(-0.546097\pi\) | ||||
−0.144311 | + | 0.989532i | \(0.546097\pi\) | |||||||
\(450\) | 13.3814 | − | 6.77781i | 0.630804 | − | 0.319509i | ||||
\(451\) | −45.7920 | −2.15626 | ||||||||
\(452\) | −15.3266 | + | 12.4113i | −0.720904 | + | 0.583776i | ||||
\(453\) | −8.81234 | − | 0.457898i | −0.414040 | − | 0.0215139i | ||||
\(454\) | −2.49298 | + | 11.7286i | −0.117001 | + | 0.550448i | ||||
\(455\) | 2.92589 | − | 5.71913i | 0.137168 | − | 0.268117i | ||||
\(456\) | 5.96367 | + | 2.65201i | 0.279275 | + | 0.124192i | ||||
\(457\) | −9.98351 | − | 2.67507i | −0.467009 | − | 0.125135i | 0.0176383 | − | 0.999844i | \(-0.494385\pi\) |
−0.484647 | + | 0.874710i | \(0.661052\pi\) | |||||||
\(458\) | 10.9332 | + | 21.4577i | 0.510877 | + | 1.00265i | ||||
\(459\) | −30.3341 | + | 9.90100i | −1.41588 | + | 0.462139i | ||||
\(460\) | 10.2288 | + | 1.09209i | 0.476919 | + | 0.0509189i | ||||
\(461\) | −29.9945 | − | 3.15255i | −1.39698 | − | 0.146829i | −0.624083 | − | 0.781358i | \(-0.714527\pi\) |
−0.772899 | + | 0.634529i | \(0.781194\pi\) | |||||||
\(462\) | 3.54101 | − | 13.2388i | 0.164743 | − | 0.615926i | ||||
\(463\) | −13.3879 | + | 16.5327i | −0.622188 | + | 0.768338i | −0.986646 | − | 0.162882i | \(-0.947921\pi\) |
0.364458 | + | 0.931220i | \(0.381254\pi\) | |||||||
\(464\) | 5.23377 | − | 2.33022i | 0.242972 | − | 0.108178i | ||||
\(465\) | 22.5813 | − | 16.3650i | 1.04718 | − | 0.758908i | ||||
\(466\) | 12.4032 | + | 5.52225i | 0.574566 | + | 0.255813i | ||||
\(467\) | −22.6390 | + | 11.5352i | −1.04761 | + | 0.533784i | −0.891060 | − | 0.453886i | \(-0.850037\pi\) |
−0.156550 | + | 0.987670i | \(0.550037\pi\) | |||||||
\(468\) | 2.19252 | − | 4.31256i | 0.101349 | − | 0.199348i | ||||
\(469\) | −18.8727 | − | 6.13210i | −0.871458 | − | 0.283154i | ||||
\(470\) | 3.93615 | − | 10.2039i | 0.181561 | − | 0.470670i | ||||
\(471\) | 33.6369 | + | 10.9127i | 1.54991 | + | 0.502832i | ||||
\(472\) | −2.76639 | + | 1.79652i | −0.127334 | + | 0.0826914i | ||||
\(473\) | 7.70868 | − | 20.0818i | 0.354446 | − | 0.923362i | ||||
\(474\) | 0.822183 | − | 1.13270i | 0.0377641 | − | 0.0520266i | ||||
\(475\) | −15.2791 | + | 11.0244i | −0.701054 | + | 0.505833i | ||||
\(476\) | − | 10.9402i | − | 0.501442i | ||||||
\(477\) | −0.0774134 | + | 1.50276i | −0.00354452 | + | 0.0688065i | ||||
\(478\) | −6.33400 | + | 12.4312i | −0.289710 | + | 0.568588i | ||||
\(479\) | 26.1685 | − | 29.0631i | 1.19567 | − | 1.32792i | 0.264041 | − | 0.964512i | \(-0.414945\pi\) |
0.931628 | − | 0.363413i | \(-0.118389\pi\) | |||||||
\(480\) | 0.601285 | + | 3.82602i | 0.0274448 | + | 0.174633i | ||||
\(481\) | 10.3027 | + | 11.4423i | 0.469764 | + | 0.521725i | ||||
\(482\) | −7.84639 | + | 2.10244i | −0.357393 | + | 0.0957633i | ||||
\(483\) | 5.09314 | + | 13.2504i | 0.231746 | + | 0.602916i | ||||
\(484\) | 3.54852 | − | 7.97010i | 0.161296 | − | 0.362277i | ||||
\(485\) | 4.01126 | + | 6.97416i | 0.182142 | + | 0.316680i | ||||
\(486\) | 12.6317 | + | 9.13455i | 0.572986 | + | 0.414352i | ||||
\(487\) | 0.135676 | − | 0.856626i | 0.00614808 | − | 0.0388174i | −0.984424 | − | 0.175813i | \(-0.943745\pi\) |
0.990572 | + | 0.136996i | \(0.0437446\pi\) | |||||||
\(488\) | 9.40095 | − | 3.60869i | 0.425561 | − | 0.163358i | ||||
\(489\) | 19.1285 | − | 21.2634i | 0.865022 | − | 0.961565i | ||||
\(490\) | 6.92986 | − | 5.01745i | 0.313059 | − | 0.226665i | ||||
\(491\) | −22.3097 | + | 2.34485i | −1.00682 | + | 0.105821i | −0.593560 | − | 0.804790i | \(-0.702278\pi\) |
−0.413264 | + | 0.910611i | \(0.635611\pi\) | |||||||
\(492\) | 13.8838 | + | 11.2326i | 0.625930 | + | 0.506407i | ||||
\(493\) | 9.10569 | − | 33.9829i | 0.410099 | − | 1.53051i | ||||
\(494\) | −1.87783 | + | 5.77935i | −0.0844874 | + | 0.260025i | ||||
\(495\) | 21.0507 | + | 21.0824i | 0.946157 | + | 0.947582i | ||||
\(496\) | 2.22511 | + | 6.84817i | 0.0999102 | + | 0.307492i | ||||
\(497\) | 6.86000 | − | 0.359518i | 0.307713 | − | 0.0161266i | ||||
\(498\) | 14.0921 | + | 7.17239i | 0.631483 | + | 0.321403i | ||||
\(499\) | 4.53023 | + | 2.61553i | 0.202801 | + | 0.117087i | 0.597961 | − | 0.801525i | \(-0.295978\pi\) |
−0.395160 | + | 0.918612i | \(0.629311\pi\) | |||||||
\(500\) | −10.4179 | − | 4.05809i | −0.465901 | − | 0.181483i | ||||
\(501\) | 3.53470 | + | 2.56570i | 0.157919 | + | 0.114627i | ||||
\(502\) | 17.2908 | + | 21.3524i | 0.771728 | + | 0.953005i | ||||
\(503\) | −28.2480 | − | 14.3931i | −1.25951 | − | 0.641755i | −0.308595 | − | 0.951193i | \(-0.599859\pi\) |
−0.950919 | + | 0.309439i | \(0.899859\pi\) | |||||||
\(504\) | −4.32105 | + | 3.14532i | −0.192475 | + | 0.140103i | ||||
\(505\) | −12.1926 | + | 18.7076i | −0.542565 | + | 0.832478i | ||||
\(506\) | 4.24796 | + | 19.9851i | 0.188845 | + | 0.888445i | ||||
\(507\) | −16.8188 | − | 6.44754i | −0.746949 | − | 0.286345i | ||||
\(508\) | 0.139321 | − | 2.65841i | 0.00618139 | − | 0.117948i | ||||
\(509\) | −0.919620 | − | 8.74960i | −0.0407615 | − | 0.387819i | −0.995815 | − | 0.0913873i | \(-0.970870\pi\) |
0.955054 | − | 0.296432i | \(-0.0957968\pi\) | |||||||
\(510\) | 20.5829 | + | 11.9165i | 0.911428 | + | 0.527670i | ||||
\(511\) | 2.33143 | − | 22.1821i | 0.103136 | − | 0.981276i | ||||
\(512\) | −0.987688 | − | 0.156434i | −0.0436501 | − | 0.00691349i | ||||
\(513\) | −17.4580 | − | 8.86593i | −0.770790 | − | 0.391440i | ||||
\(514\) | 17.2634 | − | 23.7611i | 0.761458 | − | 1.04806i | ||||
\(515\) | −1.51278 | − | 0.876721i | −0.0666609 | − | 0.0386329i | ||||
\(516\) | −7.26322 | + | 4.19774i | −0.319745 | + | 0.184795i | ||||
\(517\) | 21.6925 | + | 1.13685i | 0.954034 | + | 0.0499988i | ||||
\(518\) | −4.40244 | − | 16.4301i | −0.193432 | − | 0.721898i | ||||
\(519\) | −29.1530 | + | 3.07724i | −1.27967 | + | 0.135076i | ||||
\(520\) | −3.48462 | + | 0.927566i | −0.152811 | + | 0.0406764i | ||||
\(521\) | 5.72149 | − | 1.85902i | 0.250663 | − | 0.0814454i | −0.180990 | − | 0.983485i | \(-0.557930\pi\) |
0.431654 | + | 0.902039i | \(0.357930\pi\) | |||||||
\(522\) | −16.0402 | + | 6.17364i | −0.702058 | + | 0.270213i | ||||
\(523\) | −4.01761 | − | 25.3662i | −0.175678 | − | 1.10919i | −0.905124 | − | 0.425148i | \(-0.860222\pi\) |
0.729446 | − | 0.684038i | \(-0.239778\pi\) | |||||||
\(524\) | −8.93552 | − | 15.4768i | −0.390350 | − | 0.676106i | ||||
\(525\) | −1.56911 | − | 15.3485i | −0.0684814 | − | 0.669862i | ||||
\(526\) | −12.9319 | + | 22.3987i | −0.563858 | + | 0.976631i | ||||
\(527\) | 41.2812 | + | 15.8464i | 1.79824 | + | 0.690278i | ||||
\(528\) | −6.85243 | + | 3.49533i | −0.298214 | + | 0.152115i | ||||
\(529\) | 1.36433 | + | 1.22844i | 0.0593185 | + | 0.0534106i | ||||
\(530\) | 0.872785 | − | 0.704395i | 0.0379114 | − | 0.0305970i | ||||
\(531\) | 8.56546 | − | 4.95545i | 0.371709 | − | 0.215048i | ||||
\(532\) | 4.74694 | − | 4.74694i | 0.205806 | − | 0.205806i | ||||
\(533\) | −9.05594 | + | 13.9449i | −0.392256 | + | 0.604022i | ||||
\(534\) | 8.22893 | − | 14.2676i | 0.356101 | − | 0.617420i | ||||
\(535\) | −22.9972 | − | 7.51406i | −0.994257 | − | 0.324861i | ||||
\(536\) | 4.53052 | + | 10.1757i | 0.195689 | + | 0.439524i | ||||
\(537\) | −1.01252 | − | 0.270819i | −0.0436933 | − | 0.0116867i | ||||
\(538\) | −4.18966 | − | 10.9144i | −0.180629 | − | 0.470555i | ||||
\(539\) | 13.7475 | + | 9.98812i | 0.592146 | + | 0.430219i | ||||
\(540\) | −1.21096 | − | 11.5557i | −0.0521116 | − | 0.497277i | ||||
\(541\) | 32.4543 | − | 23.5795i | 1.39532 | − | 1.01376i | 0.400063 | − | 0.916487i | \(-0.368988\pi\) |
0.995258 | − | 0.0972727i | \(-0.0310119\pi\) | |||||||
\(542\) | 5.16356 | + | 3.35325i | 0.221794 | + | 0.144035i | ||||
\(543\) | 6.35595 | + | 7.84180i | 0.272760 | + | 0.336524i | ||||
\(544\) | −4.56358 | + | 4.10907i | −0.195662 | + | 0.176175i | ||||
\(545\) | 15.1961 | + | 7.77431i | 0.650931 | + | 0.333015i | ||||
\(546\) | −3.33131 | − | 3.69648i | −0.142567 | − | 0.158195i | ||||
\(547\) | −0.680011 | − | 12.9754i | −0.0290752 | − | 0.554787i | −0.973867 | − | 0.227117i | \(-0.927070\pi\) |
0.944792 | − | 0.327670i | \(-0.106263\pi\) | |||||||
\(548\) | 2.09737 | − | 0.332190i | 0.0895951 | − | 0.0141905i | ||||
\(549\) | −28.7225 | + | 9.36080i | −1.22585 | + | 0.399509i | ||||
\(550\) | 1.23506 | − | 22.1717i | 0.0526633 | − | 0.945404i | ||||
\(551\) | 18.6961 | − | 10.7942i | 0.796482 | − | 0.459849i | ||||
\(552\) | 3.61433 | − | 7.10134i | 0.153836 | − | 0.302253i | ||||
\(553\) | −0.784073 | − | 1.20737i | −0.0333422 | − | 0.0513425i | ||||
\(554\) | −3.15647 | − | 0.670928i | −0.134105 | − | 0.0285050i | ||||
\(555\) | 35.7071 | + | 9.61355i | 1.51568 | + | 0.408073i | ||||
\(556\) | −2.04307 | + | 0.434268i | −0.0866455 | + | 0.0184171i | ||||
\(557\) | −17.6792 | − | 17.6792i | −0.749090 | − | 0.749090i | 0.225218 | − | 0.974308i | \(-0.427690\pi\) |
−0.974308 | + | 0.225218i | \(0.927690\pi\) | |||||||
\(558\) | −5.60954 | − | 20.8607i | −0.237471 | − | 0.883105i | ||||
\(559\) | −4.59097 | − | 6.31892i | −0.194177 | − | 0.267262i | ||||
\(560\) | 3.89519 | + | 0.834643i | 0.164602 | + | 0.0352701i | ||||
\(561\) | −9.80081 | + | 46.2104i | −0.413790 | + | 1.95100i | ||||
\(562\) | −8.08131 | − | 6.54411i | −0.340889 | − | 0.276047i | ||||
\(563\) | −28.7851 | − | 23.3097i | −1.21315 | − | 0.982387i | −0.999986 | − | 0.00536975i | \(-0.998291\pi\) |
−0.213161 | − | 0.977017i | \(-0.568376\pi\) | |||||||
\(564\) | −6.29813 | − | 5.66578i | −0.265199 | − | 0.238572i | ||||
\(565\) | −43.1202 | − | 9.23959i | −1.81408 | − | 0.388712i | ||||
\(566\) | −0.324493 | − | 0.446626i | −0.0136394 | − | 0.0187731i | ||||
\(567\) | 13.4314 | − | 8.75655i | 0.564067 | − | 0.367740i | ||||
\(568\) | −2.72655 | − | 2.72655i | −0.114403 | − | 0.114403i | ||||
\(569\) | −15.8854 | + | 3.37656i | −0.665953 | + | 0.141553i | −0.528471 | − | 0.848952i | \(-0.677234\pi\) |
−0.137482 | + | 0.990504i | \(0.543901\pi\) | |||||||
\(570\) | 3.76038 | + | 14.1015i | 0.157505 | + | 0.590647i | ||||
\(571\) | −4.15317 | − | 0.882783i | −0.173805 | − | 0.0369433i | 0.120187 | − | 0.992751i | \(-0.461651\pi\) |
−0.293992 | + | 0.955808i | \(0.594984\pi\) | |||||||
\(572\) | −3.90073 | − | 6.00660i | −0.163098 | − | 0.251149i | ||||
\(573\) | −6.70613 | − | 10.3165i | −0.280152 | − | 0.430976i | ||||
\(574\) | 15.9078 | − | 9.18440i | 0.663981 | − | 0.383349i | ||||
\(575\) | 12.4644 | + | 19.3324i | 0.519803 | + | 0.806216i | ||||
\(576\) | 2.93500 | + | 0.621120i | 0.122292 | + | 0.0258800i | ||||
\(577\) | 18.6359 | − | 2.95163i | 0.775822 | − | 0.122878i | 0.244047 | − | 0.969763i | \(-0.421525\pi\) |
0.531776 | + | 0.846885i | \(0.321525\pi\) | |||||||
\(578\) | 1.08391 | + | 20.6823i | 0.0450848 | + | 0.860270i | ||||
\(579\) | 9.63543 | − | 29.6998i | 0.400435 | − | 1.23428i | ||||
\(580\) | 11.4047 | + | 5.83464i | 0.473556 | + | 0.242270i | ||||
\(581\) | 12.0865 | − | 10.8828i | 0.501434 | − | 0.451493i | ||||
\(582\) | 6.15481 | − | 0.977637i | 0.255125 | − | 0.0405244i | ||||
\(583\) | 1.86825 | + | 1.21326i | 0.0773751 | + | 0.0502480i | ||||
\(584\) | −10.1287 | + | 7.35892i | −0.419128 | + | 0.304514i | ||||
\(585\) | 10.5832 | − | 2.24120i | 0.437561 | − | 0.0926623i | ||||
\(586\) | 10.1616 | + | 7.38283i | 0.419771 | + | 0.304982i | ||||
\(587\) | −2.35761 | − | 6.14179i | −0.0973091 | − | 0.253499i | 0.876282 | − | 0.481799i | \(-0.160017\pi\) |
−0.973591 | + | 0.228300i | \(0.926683\pi\) | |||||||
\(588\) | −1.71808 | − | 6.40054i | −0.0708522 | − | 0.263954i | ||||
\(589\) | 11.0362 | + | 24.7876i | 0.454738 | + | 1.02136i | ||||
\(590\) | −7.01102 | − | 2.29077i | −0.288639 | − | 0.0943093i | ||||
\(591\) | −17.7385 | − | 30.6924i | −0.729664 | − | 1.26252i | ||||
\(592\) | −5.20012 | + | 8.00749i | −0.213724 | + | 0.329106i | ||||
\(593\) | −26.8990 | + | 26.8990i | −1.10461 | + | 1.10461i | −0.110763 | + | 0.993847i | \(0.535330\pi\) |
−0.993847 | + | 0.110763i | \(0.964670\pi\) | |||||||
\(594\) | 21.0695 | − | 9.41452i | 0.864493 | − | 0.386282i | ||||
\(595\) | 19.0366 | − | 15.3638i | 0.780424 | − | 0.629854i | ||||
\(596\) | 4.51253 | + | 4.06310i | 0.184840 | + | 0.166431i | ||||
\(597\) | −18.1952 | − | 11.8046i | −0.744680 | − | 0.483129i | ||||
\(598\) | 6.92609 | + | 2.65868i | 0.283229 | + | 0.108721i | ||||
\(599\) | 2.90008 | − | 5.02308i | 0.118494 | − | 0.205237i | −0.800677 | − | 0.599096i | \(-0.795527\pi\) |
0.919171 | + | 0.393859i | \(0.128860\pi\) | |||||||
\(600\) | −5.81311 | + | 6.41933i | −0.237319 | + | 0.262068i | ||||
\(601\) | −14.9330 | − | 25.8647i | −0.609129 | − | 1.05504i | −0.991384 | − | 0.130985i | \(-0.958186\pi\) |
0.382256 | − | 0.924057i | \(-0.375147\pi\) | |||||||
\(602\) | 1.34981 | + | 8.52239i | 0.0550143 | + | 0.347347i | ||||
\(603\) | −12.0031 | − | 31.1859i | −0.488802 | − | 1.26999i | ||||
\(604\) | 4.84532 | − | 1.57434i | 0.197153 | − | 0.0640590i | ||||
\(605\) | 18.8518 | − | 5.01813i | 0.766435 | − | 0.204016i | ||||
\(606\) | 10.1731 | + | 13.9889i | 0.413253 | + | 0.568261i | ||||
\(607\) | 0.434832 | + | 1.62282i | 0.0176493 | + | 0.0658681i | 0.974189 | − | 0.225735i | \(-0.0724782\pi\) |
−0.956540 | + | 0.291603i | \(0.905812\pi\) | |||||||
\(608\) | −3.76306 | − | 0.197214i | −0.152612 | − | 0.00799807i | ||||
\(609\) | 0.00787617 | + | 17.6782i | 0.000319159 | + | 0.716355i | ||||
\(610\) | 19.4815 | + | 11.2904i | 0.788784 | + | 0.457135i | ||||
\(611\) | 4.63615 | − | 6.38112i | 0.187559 | − | 0.258152i | ||||
\(612\) | 14.3068 | − | 11.6065i | 0.578318 | − | 0.469166i | ||||
\(613\) | −25.2998 | − | 4.00710i | −1.02185 | − | 0.161845i | −0.377048 | − | 0.926194i | \(-0.623061\pi\) |
−0.644803 | + | 0.764349i | \(0.723061\pi\) | |||||||
\(614\) | 2.76330 | − | 26.2910i | 0.111518 | − | 1.06102i | ||||
\(615\) | −0.0478413 | + | 39.9332i | −0.00192915 | + | 1.61026i | ||||
\(616\) | 0.827043 | + | 7.86879i | 0.0333225 | + | 0.317043i | ||||
\(617\) | −1.68692 | + | 32.1883i | −0.0679128 | + | 1.29585i | 0.725947 | + | 0.687751i | \(0.241402\pi\) |
−0.793859 | + | 0.608102i | \(0.791931\pi\) | |||||||
\(618\) | −1.05215 | + | 0.852793i | −0.0423238 | + | 0.0343044i | ||||
\(619\) | −9.59072 | − | 45.1208i | −0.385484 | − | 1.81356i | −0.559518 | − | 0.828818i | \(-0.689014\pi\) |
0.174034 | − | 0.984740i | \(-0.444320\pi\) | |||||||
\(620\) | −8.79143 | + | 13.4890i | −0.353072 | + | 0.541732i | ||||
\(621\) | −11.9246 | + | 20.7180i | −0.478519 | + | 0.831384i | ||||
\(622\) | −24.2476 | − | 12.3548i | −0.972239 | − | 0.495380i | ||||
\(623\) | −10.6614 | − | 13.1657i | −0.427138 | − | 0.527471i | ||||
\(624\) | −0.290728 | + | 2.77799i | −0.0116384 | + | 0.111209i | ||||
\(625\) | −7.56895 | − | 23.8267i | −0.302758 | − | 0.953068i | ||||
\(626\) | −17.3878 | − | 10.0389i | −0.694957 | − | 0.401233i | ||||
\(627\) | −24.3033 | + | 15.7981i | −0.970579 | + | 0.630916i | ||||
\(628\) | −20.3888 | + | 1.06853i | −0.813600 | + | 0.0426390i | ||||
\(629\) | 18.1184 | + | 55.7627i | 0.722427 | + | 2.22340i | ||||
\(630\) | −11.5413 | − | 3.10179i | −0.459816 | − | 0.123578i | ||||
\(631\) | −2.12428 | + | 6.53788i | −0.0845664 | + | 0.260269i | −0.984394 | − | 0.175976i | \(-0.943692\pi\) |
0.899828 | + | 0.436245i | \(0.143692\pi\) | |||||||
\(632\) | −0.209147 | + | 0.780548i | −0.00831943 | + | 0.0310485i | ||||
\(633\) | 2.49244 | − | 15.7822i | 0.0990657 | − | 0.627285i | ||||
\(634\) | 25.4520 | − | 2.67511i | 1.01083 | − | 0.106242i | ||||
\(635\) | 4.82146 | − | 3.49090i | 0.191334 | − | 0.138532i | ||||
\(636\) | −0.268832 | − | 0.826127i | −0.0106599 | − | 0.0327581i | ||||
\(637\) | 5.76039 | − | 2.21121i | 0.228235 | − | 0.0876111i | ||||
\(638\) | −3.98032 | + | 25.1308i | −0.157582 | + | 0.994936i | ||||
\(639\) | 7.74800 | + | 8.58962i | 0.306506 | + | 0.339800i | ||||
\(640\) | −1.11485 | − | 1.93833i | −0.0440683 | − | 0.0766191i | ||||
\(641\) | −18.6920 | + | 41.9830i | −0.738291 | + | 1.65823i | 0.0144360 | + | 0.999896i | \(0.495405\pi\) |
−0.752727 | + | 0.658333i | \(0.771262\pi\) | |||||||
\(642\) | −11.7872 | + | 14.5692i | −0.465203 | + | 0.575001i | ||||
\(643\) | −30.5588 | + | 8.18821i | −1.20512 | + | 0.322911i | −0.804846 | − | 0.593484i | \(-0.797752\pi\) |
−0.400275 | + | 0.916395i | \(0.631085\pi\) | |||||||
\(644\) | −5.48407 | − | 6.09068i | −0.216103 | − | 0.240006i | ||||
\(645\) | −17.5044 | − | 6.74337i | −0.689234 | − | 0.265520i | ||||
\(646\) | −15.4839 | + | 17.1966i | −0.609205 | + | 0.676591i | ||||
\(647\) | 20.9851 | − | 41.1857i | 0.825011 | − | 1.61918i | 0.0404024 | − | 0.999183i | \(-0.487136\pi\) |
0.784608 | − | 0.619992i | \(-0.212864\pi\) | |||||||
\(648\) | −8.69747 | − | 2.31388i | −0.341669 | − | 0.0908976i | ||||
\(649\) | − | 14.6495i | − | 0.575045i | ||||||
\(650\) | −6.50763 | − | 4.76083i | −0.255250 | − | 0.186735i | ||||
\(651\) | −22.0981 | − | 2.31265i | −0.866094 | − | 0.0906401i | ||||
\(652\) | −5.91772 | + | 15.4162i | −0.231756 | + | 0.603744i | ||||
\(653\) | 5.81646 | − | 3.77725i | 0.227616 | − | 0.147815i | −0.425793 | − | 0.904820i | \(-0.640005\pi\) |
0.653409 | + | 0.757005i | \(0.273338\pi\) | |||||||
\(654\) | 9.82181 | − | 8.85153i | 0.384063 | − | 0.346122i | ||||
\(655\) | 14.3820 | − | 37.2831i | 0.561951 | − | 1.45677i | ||||
\(656\) | −9.80607 | − | 3.18618i | −0.382863 | − | 0.124400i | ||||
\(657\) | 31.4816 | − | 20.4843i | 1.22821 | − | 0.799168i | ||||
\(658\) | −7.76383 | + | 3.95587i | −0.302666 | + | 0.154216i | ||||
\(659\) | −1.76342 | − | 0.785125i | −0.0686931 | − | 0.0305841i | 0.372103 | − | 0.928192i | \(-0.378637\pi\) |
−0.440796 | + | 0.897607i | \(0.645304\pi\) | |||||||
\(660\) | −15.7053 | − | 7.01499i | −0.611327 | − | 0.273058i | ||||
\(661\) | 2.23309 | − | 0.994234i | 0.0868570 | − | 0.0386712i | −0.362848 | − | 0.931848i | \(-0.618196\pi\) |
0.449705 | + | 0.893177i | \(0.351529\pi\) | |||||||
\(662\) | 8.42067 | − | 10.3987i | 0.327279 | − | 0.404156i | ||||
\(663\) | 12.1341 | + | 12.1233i | 0.471249 | + | 0.470829i | ||||
\(664\) | −9.07927 | − | 0.954270i | −0.352344 | − | 0.0370328i | ||||
\(665\) | 14.9263 | + | 1.59363i | 0.578818 | + | 0.0617982i | ||||
\(666\) | 16.8156 | − | 23.1881i | 0.651590 | − | 0.898520i | ||||
\(667\) | −11.9655 | − | 23.4836i | −0.463306 | − | 0.909290i | ||||
\(668\) | −2.43578 | − | 0.652664i | −0.0942430 | − | 0.0252523i | ||||
\(669\) | −1.80129 | − | 17.0650i | −0.0696418 | − | 0.659770i | ||||
\(670\) | −11.3440 | + | 22.1736i | −0.438255 | + | 0.856640i | ||||
\(671\) | −9.29824 | + | 43.7448i | −0.358954 | + | 1.68875i | ||||
\(672\) | 1.67944 | − | 2.58863i | 0.0647856 | − | 0.0998585i | ||||
\(673\) | 8.70175 | − | 7.04654i | 0.335428 | − | 0.271624i | −0.446777 | − | 0.894645i | \(-0.647428\pi\) |
0.782205 | + | 0.623021i | \(0.214095\pi\) | |||||||
\(674\) | −9.39808 | −0.362000 | ||||||||
\(675\) | 18.4070 | − | 18.3353i | 0.708485 | − | 0.705726i | ||||
\(676\) | 10.3994 | 0.399977 | ||||||||
\(677\) | 8.16567 | − | 6.61243i | 0.313832 | − | 0.254136i | −0.459442 | − | 0.888208i | \(-0.651951\pi\) |
0.773275 | + | 0.634071i | \(0.218617\pi\) | |||||||
\(678\) | −18.5915 | + | 28.6564i | −0.714004 | + | 1.10054i | ||||
\(679\) | 1.33271 | − | 6.26991i | 0.0511447 | − | 0.240617i | ||||
\(680\) | −13.5589 | − | 2.17036i | −0.519959 | − | 0.0832296i | ||||
\(681\) | 2.18008 | + | 20.6535i | 0.0835408 | + | 0.791446i | ||||
\(682\) | −30.8897 | − | 8.27687i | −1.18283 | − | 0.316938i | ||||
\(683\) | −10.1617 | − | 19.9435i | −0.388827 | − | 0.763115i | 0.610762 | − | 0.791815i | \(-0.290863\pi\) |
−0.999588 | + | 0.0286996i | \(0.990863\pi\) | |||||||
\(684\) | 11.2438 | + | 1.17164i | 0.429917 | + | 0.0447988i | ||||
\(685\) | 3.52346 | + | 3.18304i | 0.134624 | + | 0.121618i | ||||
\(686\) | −19.1814 | − | 2.01605i | −0.732351 | − | 0.0769732i | ||||
\(687\) | 29.5081 | + | 29.4818i | 1.12580 | + | 1.12480i | ||||
\(688\) | 3.04804 | − | 3.76402i | 0.116206 | − | 0.143502i | ||||
\(689\) | 0.738940 | − | 0.328997i | 0.0281514 | − | 0.0125338i | ||||
\(690\) | 17.4325 | − | 3.68358i | 0.663645 | − | 0.140231i | ||||
\(691\) | −45.5290 | − | 20.2708i | −1.73201 | − | 0.771139i | −0.995506 | − | 0.0947009i | \(-0.969811\pi\) |
−0.736500 | − | 0.676438i | \(-0.763523\pi\) | |||||||
\(692\) | 15.0803 | − | 7.68379i | 0.573266 | − | 0.292094i | ||||
\(693\) | −1.26339 | − | 23.7028i | −0.0479922 | − | 0.900393i | ||||
\(694\) | −2.53414 | − | 0.823392i | −0.0961947 | − | 0.0312555i | ||||
\(695\) | −3.62483 | − | 2.94521i | −0.137498 | − | 0.111718i | ||||
\(696\) | 7.37130 | − | 6.64310i | 0.279408 | − | 0.251806i | ||||
\(697\) | −53.1022 | + | 34.4849i | −2.01139 | + | 1.30621i | ||||
\(698\) | 7.45138 | − | 19.4115i | 0.282039 | − | 0.734736i | ||||
\(699\) | 23.3883 | + | 2.44767i | 0.884626 | + | 0.0925795i | ||||
\(700\) | 4.01787 | + | 7.95001i | 0.151861 | + | 0.300482i | ||||
\(701\) | 15.7690i | 0.595586i | 0.954631 | + | 0.297793i | \(0.0962505\pi\) | ||||
−0.954631 | + | 0.297793i | \(0.903750\pi\) | |||||||
\(702\) | 1.29978 | − | 8.27808i | 0.0490570 | − | 0.312436i | ||||
\(703\) | −16.3339 | + | 32.0570i | −0.616043 | + | 1.20905i | ||||
\(704\) | 2.97175 | − | 3.30046i | 0.112002 | − | 0.124391i | ||||
\(705\) | 1.01406 | − | 18.9158i | 0.0381918 | − | 0.712412i | ||||
\(706\) | 1.53988 | + | 1.71020i | 0.0579540 | + | 0.0643644i | ||||
\(707\) | 17.1847 | − | 4.60463i | 0.646298 | − | 0.173175i | ||||
\(708\) | −3.59349 | + | 4.44163i | −0.135051 | + | 0.166927i | ||||
\(709\) | −20.1326 | + | 45.2185i | −0.756095 | + | 1.69822i | −0.0410309 | + | 0.999158i | \(0.513064\pi\) |
−0.715064 | + | 0.699059i | \(0.753602\pi\) | |||||||
\(710\) | 0.915346 | − | 8.57337i | 0.0343523 | − | 0.321753i | ||||
\(711\) | 0.747079 | − | 2.30626i | 0.0280177 | − | 0.0864916i | ||||
\(712\) | −1.48758 | + | 9.39222i | −0.0557495 | + | 0.351988i | ||||
\(713\) | 30.9257 | − | 11.8713i | 1.15818 | − | 0.444583i | ||||
\(714\) | −5.86357 | − | 18.0189i | −0.219439 | − | 0.674340i | ||||
\(715\) | 4.97388 | − | 15.2229i | 0.186013 | − | 0.569303i | ||||
\(716\) | 0.601811 | − | 0.0632529i | 0.0224907 | − | 0.00236387i | ||||
\(717\) | −3.76965 | + | 23.8694i | −0.140780 | + | 0.891421i | ||||
\(718\) | −3.20326 | + | 11.9547i | −0.119545 | + | 0.446147i | ||||
\(719\) | 9.20118 | − | 28.3183i | 0.343146 | − | 1.05610i | −0.619422 | − | 0.785058i | \(-0.712633\pi\) |
0.962569 | − | 0.271038i | \(-0.0873668\pi\) | |||||||
\(720\) | 3.04096 | + | 5.97934i | 0.113330 | + | 0.222837i | ||||
\(721\) | 0.430474 | + | 1.32486i | 0.0160317 | + | 0.0493405i | ||||
\(722\) | 4.79390 | − | 0.251238i | 0.178411 | − | 0.00935010i | ||||
\(723\) | −11.7965 | + | 7.66820i | −0.438716 | + | 0.285184i | ||||
\(724\) | −5.04707 | − | 2.91393i | −0.187573 | − | 0.108295i | ||||
\(725\) | 5.86357 | + | 28.0388i | 0.217768 | + | 1.04134i | ||||
\(726\) | 1.57284 | − | 15.0290i | 0.0583735 | − | 0.557777i | ||||
\(727\) | 8.55823 | + | 10.5685i | 0.317407 | + | 0.391965i | 0.910732 | − | 0.412998i | \(-0.135518\pi\) |
−0.593325 | + | 0.804963i | \(0.702185\pi\) | |||||||
\(728\) | 2.55982 | + | 1.30429i | 0.0948732 | + | 0.0483403i | ||||
\(729\) | 25.7007 | + | 8.27479i | 0.951879 | + | 0.306474i | ||||
\(730\) | −27.0291 | − | 7.29007i | −1.00039 | − | 0.269818i | ||||
\(731\) | −6.18387 | − | 29.0928i | −0.228719 | − | 1.07604i | ||||
\(732\) | 13.5496 | − | 10.9823i | 0.500808 | − | 0.405916i | ||||
\(733\) | −0.380822 | + | 7.26652i | −0.0140660 | + | 0.268395i | 0.982539 | + | 0.186059i | \(0.0595715\pi\) |
−0.996605 | + | 0.0823362i | \(0.973762\pi\) | |||||||
\(734\) | 1.57457 | + | 14.9810i | 0.0581183 | + | 0.552959i | ||||
\(735\) | 8.72456 | − | 11.9781i | 0.321810 | − | 0.441820i | ||||
\(736\) | −0.480878 | + | 4.57525i | −0.0177254 | + | 0.168646i | ||||
\(737\) | −48.8603 | − | 7.73871i | −1.79979 | − | 0.285059i | ||||
\(738\) | 28.8875 | + | 11.0593i | 1.06336 | + | 0.407100i | ||||
\(739\) | 3.81435 | − | 5.25000i | 0.140313 | − | 0.193124i | −0.733077 | − | 0.680146i | \(-0.761917\pi\) |
0.873390 | + | 0.487021i | \(0.161917\pi\) | |||||||
\(740\) | −21.2363 | + | 2.19674i | −0.780662 | + | 0.0807538i | ||||
\(741\) | 0.00468934 | + | 10.5253i | 0.000172267 | + | 0.386656i | ||||
\(742\) | −0.892358 | − | 0.0467665i | −0.0327595 | − | 0.00171685i | ||||
\(743\) | −0.0768573 | − | 0.286835i | −0.00281962 | − | 0.0105230i | 0.964502 | − | 0.264077i | \(-0.0850672\pi\) |
−0.967321 | + | 0.253554i | \(0.918401\pi\) | |||||||
\(744\) | 7.33523 | + | 10.0866i | 0.268923 | + | 0.369794i | ||||
\(745\) | −0.732895 | + | 13.5581i | −0.0268512 | + | 0.496729i | ||||
\(746\) | 6.00830 | − | 1.95221i | 0.219979 | − | 0.0714757i | ||||
\(747\) | 27.0545 | + | 4.26030i | 0.989871 | + | 0.155876i | ||||
\(748\) | −4.26644 | − | 26.9373i | −0.155997 | − | 0.984924i | ||||
\(749\) | 9.63782 | + | 16.6932i | 0.352158 | + | 0.609956i | ||||
\(750\) | −19.3336 | − | 1.10021i | −0.705965 | − | 0.0401739i | ||||
\(751\) | −15.8560 | + | 27.4635i | −0.578595 | + | 1.00216i | 0.417046 | + | 0.908886i | \(0.363065\pi\) |
−0.995641 | + | 0.0932706i | \(0.970268\pi\) | |||||||
\(752\) | 4.56620 | + | 1.75280i | 0.166512 | + | 0.0639180i | ||||
\(753\) | 39.9229 | + | 25.9009i | 1.45487 | + | 0.943883i | ||||
\(754\) | 6.86584 | + | 6.18203i | 0.250039 | + | 0.225136i | ||||
\(755\) | 9.54395 | + | 6.22024i | 0.347340 | + | 0.226378i | ||||
\(756\) | −5.43116 | + | 7.49640i | −0.197529 | + | 0.272641i | ||||
\(757\) | 19.2640 | − | 19.2640i | 0.700162 | − | 0.700162i | −0.264283 | − | 0.964445i | \(-0.585135\pi\) |
0.964445 | + | 0.264283i | \(0.0851352\pi\) | |||||||
\(758\) | −14.8265 | + | 22.8308i | −0.538523 | + | 0.829253i | ||||
\(759\) | 17.7079 | + | 30.6395i | 0.642756 | + | 1.11214i | ||||
\(760\) | −4.94147 | − | 6.82491i | −0.179246 | − | 0.247566i | ||||
\(761\) | −12.8807 | − | 28.9305i | −0.466925 | − | 1.04873i | −0.981531 | − | 0.191304i | \(-0.938728\pi\) |
0.514605 | − | 0.857427i | \(-0.327938\pi\) | |||||||
\(762\) | −1.19535 | − | 4.45318i | −0.0433031 | − | 0.161322i | ||||
\(763\) | −4.87364 | − | 12.6963i | −0.176438 | − | 0.459635i | ||||
\(764\) | 5.74728 | + | 4.17564i | 0.207929 | + | 0.151069i | ||||
\(765\) | 40.2878 | + | 8.59512i | 1.45661 | + | 0.310757i | ||||
\(766\) | 10.0110 | − | 7.27343i | 0.361713 | − | 0.262800i | ||||
\(767\) | −4.46118 | − | 2.89713i | −0.161084 | − | 0.104609i | ||||
\(768\) | −1.71061 | + | 0.271715i | −0.0617262 | + | 0.00980466i | ||||
\(769\) | −19.2126 | + | 17.2991i | −0.692823 | + | 0.623821i | −0.938398 | − | 0.345557i | \(-0.887690\pi\) |
0.245575 | + | 0.969378i | \(0.421023\pi\) | |||||||
\(770\) | −12.5307 | + | 12.4896i | −0.451576 | + | 0.450094i | ||||
\(771\) | 15.6984 | − | 48.3881i | 0.565364 | − | 1.74265i | ||||
\(772\) | 0.943462 | + | 18.0023i | 0.0339559 | + | 0.647918i | ||||
\(773\) | −11.9486 | + | 1.89247i | −0.429762 | + | 0.0680675i | −0.367568 | − | 0.929997i | \(-0.619810\pi\) |
−0.0621934 | + | 0.998064i | \(0.519810\pi\) | |||||||
\(774\) | −9.71296 | + | 10.8067i | −0.349125 | + | 0.388438i | ||||
\(775\) | −35.8179 | + | 3.64562i | −1.28662 | + | 0.130954i | ||||
\(776\) | −3.11599 | + | 1.79902i | −0.111857 | + | 0.0645809i | ||||
\(777\) | −16.0570 | − | 24.7015i | −0.576042 | − | 0.886162i | ||||
\(778\) | 10.5763 | + | 16.2861i | 0.379180 | + | 0.583885i | ||||
\(779\) | −38.0040 | − | 8.07801i | −1.36164 | − | 0.289425i | ||||
\(780\) | −5.24216 | + | 3.39538i | −0.187700 | + | 0.121574i | ||||
\(781\) | 16.7507 | − | 3.56048i | 0.599388 | − | 0.127404i | ||||
\(782\) | 19.9764 | + | 19.9764i | 0.714355 | + | 0.714355i | ||||
\(783\) | −23.1099 | + | 18.7652i | −0.825880 | + | 0.670614i | ||||
\(784\) | 2.24896 | + | 3.09543i | 0.0803201 | + | 0.110551i | ||||
\(785\) | −30.4922 | − | 33.9771i | −1.08831 | − | 1.21270i | ||||
\(786\) | −23.0122 | − | 20.7017i | −0.820818 | − | 0.738406i | ||||
\(787\) | 19.7158 | + | 15.9656i | 0.702794 | + | 0.569111i | 0.912710 | − | 0.408608i | \(-0.133986\pi\) |
−0.209916 | + | 0.977719i | \(0.567319\pi\) | |||||||
\(788\) | 15.9057 | + | 12.8802i | 0.566618 | + | 0.458839i | ||||
\(789\) | −9.29439 | + | 43.8227i | −0.330889 | + | 1.56013i | ||||
\(790\) | −1.65192 | + | 0.732230i | −0.0587725 | + | 0.0260516i | ||||
\(791\) | 20.6517 | + | 28.4246i | 0.734288 | + | 1.01066i | ||||
\(792\) | −9.41283 | + | 9.42962i | −0.334470 | + | 0.335067i | ||||
\(793\) | 11.4826 | + | 11.4826i | 0.407760 | + | 0.407760i | ||||
\(794\) | −0.517452 | + | 0.109988i | −0.0183637 | + | 0.00390332i | ||||
\(795\) | 1.05998 | − | 1.62795i | 0.0375936 | − | 0.0577375i | ||||
\(796\) | 12.2485 | + | 2.60350i | 0.434137 | + | 0.0922787i | ||||
\(797\) | 3.01141 | + | 4.63716i | 0.106669 | + | 0.164257i | 0.887974 | − | 0.459893i | \(-0.152112\pi\) |
−0.781305 | + | 0.624150i | \(0.785446\pi\) | |||||||
\(798\) | 5.27420 | − | 10.3626i | 0.186705 | − | 0.366832i | ||||
\(799\) | 26.0115 | − | 15.0178i | 0.920222 | − | 0.531290i | ||||
\(800\) | 1.80717 | − | 4.66199i | 0.0638933 | − | 0.164826i | ||||
\(801\) | 5.90641 | − | 27.9098i | 0.208693 | − | 0.986143i | ||||
\(802\) | −25.5219 | + | 4.04228i | −0.901211 | + | 0.142738i | ||||
\(803\) | −2.91003 | − | 55.5266i | −0.102693 | − | 1.95949i | ||||
\(804\) | 12.9158 | + | 14.3316i | 0.455505 | + | 0.505436i | ||||
\(805\) | 2.89663 | − | 18.0960i | 0.102093 | − | 0.637802i | ||||
\(806\) | −8.62935 | + | 7.76990i | −0.303956 | + | 0.273683i | ||||
\(807\) | −12.7503 | − | 15.7310i | −0.448832 | − | 0.553757i | ||||
\(808\) | −8.37525 | − | 5.43895i | −0.294640 | − | 0.191342i | ||||
\(809\) | −19.1502 | + | 13.9134i | −0.673285 | + | 0.489170i | −0.871123 | − | 0.491065i | \(-0.836608\pi\) |
0.197838 | + | 0.980235i | \(0.436608\pi\) | |||||||
\(810\) | −8.18796 | − | 18.3836i | −0.287696 | − | 0.645934i | ||||
\(811\) | −24.9996 | − | 18.1633i | −0.877854 | − | 0.637798i | 0.0548286 | − | 0.998496i | \(-0.482539\pi\) |
−0.932683 | + | 0.360697i | \(0.882539\pi\) | |||||||
\(812\) | −3.65768 | − | 9.52858i | −0.128359 | − | 0.334388i | ||||
\(813\) | 10.3018 | + | 2.75545i | 0.361301 | + | 0.0966377i | ||||
\(814\) | −17.2472 | − | 38.7380i | −0.604516 | − | 1.35776i | ||||
\(815\) | −35.1356 | + | 11.3524i | −1.23075 | + | 0.397659i | ||||
\(816\) | −5.31407 | + | 9.21372i | −0.186030 | + | 0.322545i | ||||
\(817\) | 9.94020 | − | 15.3066i | 0.347763 | − | 0.535509i | ||||
\(818\) | −15.6457 | + | 15.6457i | −0.547040 | + | 0.547040i | ||||
\(819\) | −7.46798 | − | 4.30277i | −0.260952 | − | 0.150351i | ||||
\(820\) | −8.22695 | − | 21.5377i | −0.287297 | − | 0.752128i | ||||
\(821\) | 24.2611 | + | 21.8448i | 0.846720 | + | 0.762390i | 0.973293 | − | 0.229567i | \(-0.0737312\pi\) |
−0.126573 | + | 0.991957i | \(0.540398\pi\) | |||||||
\(822\) | 3.27640 | − | 1.67125i | 0.114278 | − | 0.0582915i | ||||
\(823\) | 37.8660 | + | 14.5354i | 1.31992 | + | 0.506672i | 0.913435 | − | 0.406984i | \(-0.133419\pi\) |
0.406489 | + | 0.913655i | \(0.366753\pi\) | |||||||
\(824\) | 0.390969 | − | 0.677178i | 0.0136201 | − | 0.0235906i | ||||
\(825\) | −9.84909 | − | 37.1796i | −0.342901 | − | 1.29443i | ||||
\(826\) | 2.93822 | + | 5.08915i | 0.102234 | + | 0.177074i | ||||
\(827\) | 4.31393 | + | 27.2371i | 0.150010 | + | 0.947126i | 0.941761 | + | 0.336282i | \(0.109170\pi\) |
−0.791751 | + | 0.610844i | \(0.790830\pi\) | |||||||
\(828\) | 2.14686 | − | 13.6333i | 0.0746085 | − | 0.473791i | ||||
\(829\) | −10.9199 | + | 3.54809i | −0.379264 | + | 0.123230i | −0.492444 | − | 0.870344i | \(-0.663896\pi\) |
0.113180 | + | 0.993575i | \(0.463896\pi\) | |||||||
\(830\) | −11.0899 | − | 17.1386i | −0.384937 | − | 0.594890i | ||||
\(831\) | −5.55842 | + | 0.586718i | −0.192820 | + | 0.0203530i | ||||
\(832\) | −0.417381 | − | 1.55769i | −0.0144701 | − | 0.0540030i | ||||
\(833\) | 23.4639 | + | 1.22969i | 0.812976 | + | 0.0426063i | ||||
\(834\) | −3.13226 | + | 1.81027i | −0.108461 | + | 0.0626847i | ||||
\(835\) | −2.28499 | − | 5.15496i | −0.0790755 | − | 0.178395i | ||||
\(836\) | 9.83687 | − | 13.5393i | 0.340215 | − | 0.468266i | ||||
\(837\) | −20.4198 | − | 31.3519i | −0.705812 | − | 1.08368i | ||||
\(838\) | 10.2293 | + | 1.62017i | 0.353366 | + | 0.0559677i | ||||
\(839\) | −3.23331 | + | 30.7628i | −0.111626 | + | 1.06205i | 0.785071 | + | 0.619406i | \(0.212627\pi\) |
−0.896697 | + | 0.442645i | \(0.854040\pi\) | |||||||
\(840\) | 6.86288 | − | 0.713006i | 0.236792 | − | 0.0246010i | ||||
\(841\) | −0.399536 | − | 3.80133i | −0.0137771 | − | 0.131080i | ||||
\(842\) | 1.67801 | − | 32.0183i | 0.0578280 | − | 1.10342i | ||||
\(843\) | −16.8177 | − | 6.44710i | −0.579231 | − | 0.222050i | ||||
\(844\) | 1.91794 | + | 9.02319i | 0.0660181 | + | 0.310591i | ||||
\(845\) | 14.6044 | + | 18.0956i | 0.502405 | + | 0.622508i | ||||
\(846\) | −13.4099 | − | 5.95617i | −0.461043 | − | 0.204778i | ||||
\(847\) | −13.8486 | − | 7.05623i | −0.475844 | − | 0.242455i | ||||
\(848\) | 0.315656 | + | 0.389803i | 0.0108397 | + | 0.0133859i | ||||
\(849\) | −0.773829 | − | 0.561693i | −0.0265577 | − | 0.0192773i | ||||
\(850\) | −15.2648 | − | 26.6412i | −0.523577 | − | 0.913786i | ||||
\(851\) | 38.0396 | + | 21.9622i | 1.30398 | + | 0.752853i | ||||
\(852\) | −5.95207 | − | 3.02939i | −0.203914 | − | 0.103785i | ||||
\(853\) | 13.1107 | − | 0.687103i | 0.448902 | − | 0.0235259i | 0.173454 | − | 0.984842i | \(-0.444507\pi\) |
0.275448 | + | 0.961316i | \(0.411174\pi\) | |||||||
\(854\) | −5.54363 | − | 17.0616i | −0.189699 | − | 0.583834i | ||||
\(855\) | 13.7514 | + | 21.2103i | 0.470289 | + | 0.725376i | ||||
\(856\) | 3.34348 | − | 10.2902i | 0.114278 | − | 0.351711i | ||||
\(857\) | −12.2906 | + | 45.8693i | −0.419840 | + | 1.56686i | 0.355099 | + | 0.934829i | \(0.384447\pi\) |
−0.774939 | + | 0.632036i | \(0.782219\pi\) | |||||||
\(858\) | −9.64400 | − | 7.80245i | −0.329241 | − | 0.266371i | ||||
\(859\) | 15.4288 | − | 1.62164i | 0.526425 | − | 0.0553295i | 0.162411 | − | 0.986723i | \(-0.448073\pi\) |
0.364014 | + | 0.931394i | \(0.381406\pi\) | |||||||
\(860\) | 10.8301 | + | 0.0178000i | 0.369305 | + | 0.000606976i | ||||
\(861\) | 21.2783 | − | 23.6531i | 0.725163 | − | 0.806097i | ||||
\(862\) | 6.19237 | − | 2.37703i | 0.210913 | − | 0.0809620i | ||||
\(863\) | −6.44707 | + | 40.7052i | −0.219461 | + | 1.38562i | 0.594217 | + | 0.804305i | \(0.297462\pi\) |
−0.813678 | + | 0.581316i | \(0.802538\pi\) | |||||||
\(864\) | 5.16696 | − | 0.550052i | 0.175783 | − | 0.0187132i | ||||
\(865\) | 34.5482 | + | 15.4499i | 1.17467 | + | 0.525314i | ||||
\(866\) | −6.61615 | + | 14.8601i | −0.224826 | + | 0.504968i | ||||
\(867\) | 12.8703 | + | 33.4836i | 0.437097 | + | 1.13716i | ||||
\(868\) | 12.3909 | − | 3.32014i | 0.420576 | − | 0.112693i | ||||
\(869\) | −2.40142 | − | 2.66705i | −0.0814626 | − | 0.0904734i | ||||
\(870\) | 21.9112 | + | 3.49731i | 0.742861 | + | 0.118570i | ||||
\(871\) | −12.0194 | + | 13.3489i | −0.407261 | + | 0.452309i | ||||
\(872\) | −3.46560 | + | 6.80163i | −0.117360 | + | 0.230332i | ||||
\(873\) | 9.61323 | − | 4.90898i | 0.325359 | − | 0.166144i | ||||
\(874\) | 17.3355i | 0.586383i | ||||||||
\(875\) | −8.19103 | + | 18.1559i | −0.276907 | + | 0.613781i | ||||
\(876\) | −12.7382 | + | 17.5491i | −0.430384 | + | 0.592928i | ||||
\(877\) | 14.5521 | − | 37.9095i | 0.491389 | − | 1.28011i | −0.433938 | − | 0.900943i | \(-0.642876\pi\) |
0.925327 | − | 0.379170i | \(-0.123790\pi\) | |||||||
\(878\) | 5.96044 | − | 3.87075i | 0.201155 | − | 0.130632i | ||||
\(879\) | 20.6935 | + | 6.71353i | 0.697974 | + | 0.226442i | ||||
\(880\) | 9.91637 | + | 0.536040i | 0.334281 | + | 0.0180699i | ||||
\(881\) | −31.6147 | − | 10.2722i | −1.06513 | − | 0.346081i | −0.276539 | − | 0.961003i | \(-0.589188\pi\) |
−0.788588 | + | 0.614922i | \(0.789188\pi\) | |||||||
\(882\) | −6.26021 | − | 9.62110i | −0.210792 | − | 0.323959i | ||||
\(883\) | 27.2323 | − | 13.8755i | 0.916439 | − | 0.466949i | 0.0688652 | − | 0.997626i | \(-0.478062\pi\) |
0.847574 | + | 0.530677i | \(0.178062\pi\) | |||||||
\(884\) | −9.04687 | − | 4.02793i | −0.304279 | − | 0.135474i | ||||
\(885\) | −12.7752 | − | 0.0153051i | −0.429434 | − | 0.000514476i | ||||
\(886\) | −6.16156 | + | 2.74330i | −0.207002 | + | 0.0921631i | ||||
\(887\) | 35.5133 | − | 43.8553i | 1.19242 | − | 1.47252i | 0.347456 | − | 0.937696i | \(-0.387046\pi\) |
0.844965 | − | 0.534821i | \(-0.179621\pi\) | |||||||
\(888\) | −4.27306 | + | 15.9757i | −0.143395 | + | 0.536111i | ||||
\(889\) | −4.71655 | − | 0.495729i | −0.158188 | − | 0.0166262i | ||||
\(890\) | −18.4321 | + | 10.6014i | −0.617846 | + | 0.355361i | ||||
\(891\) | 29.6565 | − | 26.7986i | 0.993529 | − | 0.897789i | ||||
\(892\) | 4.49778 | + | 8.82738i | 0.150597 | + | 0.295563i | ||||
\(893\) | 17.8026 | + | 4.77020i | 0.595742 | + | 0.159628i | ||||
\(894\) | 9.61000 | + | 4.27352i | 0.321406 | + | 0.142928i | ||||
\(895\) | 0.955214 | + | 0.958359i | 0.0319293 | + | 0.0320344i | ||||
\(896\) | −0.370400 | + | 1.74260i | −0.0123742 | + | 0.0582160i | ||||
\(897\) | 12.8325 | + | 0.666790i | 0.428465 | + | 0.0222635i | ||||
\(898\) | 4.75286 | − | 3.84879i | 0.158605 | − | 0.128436i | ||||
\(899\) | 41.2527 | 1.37586 | ||||||||
\(900\) | −6.13387 | + | 13.6885i | −0.204462 | + | 0.456284i | ||||
\(901\) | 3.08017 | 0.102615 | ||||||||
\(902\) | 35.5871 | − | 28.8179i | 1.18492 | − | 0.959530i | ||||
\(903\) | 6.79092 | + | 13.3133i | 0.225988 | + | 0.443038i | ||||
\(904\) | 4.10037 | − | 19.2907i | 0.136376 | − | 0.641600i | ||||
\(905\) | −2.01742 | − | 12.8744i | −0.0670612 | − | 0.427959i | ||||
\(906\) | 7.13664 | − | 5.18993i | 0.237099 | − | 0.172424i | ||||
\(907\) | −22.1851 | − | 5.94447i | −0.736643 | − | 0.197383i | −0.129057 | − | 0.991637i | \(-0.541195\pi\) |
−0.607586 | + | 0.794254i | \(0.707862\pi\) | |||||||
\(908\) | −5.44361 | − | 10.6837i | −0.180652 | − | 0.354550i | ||||
\(909\) | 24.2530 | + | 17.5879i | 0.804423 | + | 0.583353i | ||||
\(910\) | 1.32532 | + | 6.28592i | 0.0439339 | + | 0.208376i | ||||
\(911\) | 4.00879 | + | 0.421341i | 0.132817 | + | 0.0139597i | 0.170704 | − | 0.985322i | \(-0.445396\pi\) |
−0.0378865 | + | 0.999282i | \(0.512063\pi\) | |||||||
\(912\) | −6.30361 | + | 1.69206i | −0.208733 | + | 0.0560296i | ||||
\(913\) | 25.5158 | − | 31.5094i | 0.844451 | − | 1.04281i | ||||
\(914\) | 9.44212 | − | 4.20390i | 0.312318 | − | 0.139053i | ||||
\(915\) | 38.1381 | + | 8.15427i | 1.26081 | + | 0.269572i | ||||
\(916\) | −22.0005 | − | 9.79526i | −0.726917 | − | 0.323644i | ||||
\(917\) | −28.3676 | + | 14.4540i | −0.936781 | + | 0.477314i | ||||
\(918\) | 17.3431 | − | 26.7844i | 0.572409 | − | 0.884017i | ||||
\(919\) | 8.95490 | + | 2.90962i | 0.295395 | + | 0.0959796i | 0.452965 | − | 0.891528i | \(-0.350366\pi\) |
−0.157571 | + | 0.987508i | \(0.550366\pi\) | |||||||
\(920\) | −8.63653 | + | 5.58847i | −0.284738 | + | 0.184246i | ||||
\(921\) | −9.53986 | − | 44.7834i | −0.314349 | − | 1.47566i | ||||
\(922\) | 25.2940 | − | 16.4261i | 0.833015 | − | 0.540966i | ||||
\(923\) | 2.22840 | − | 5.80518i | 0.0733487 | − | 0.191080i | ||||
\(924\) | 5.57958 | + | 12.5169i | 0.183555 | + | 0.411777i | ||||
\(925\) | −33.6456 | − | 33.8675i | −1.10626 | − | 1.11356i | ||||
\(926\) | − | 21.2736i | − | 0.699092i | ||||||
\(927\) | −1.27587 | + | 1.96850i | −0.0419050 | + | 0.0646541i | ||||
\(928\) | −2.60094 | + | 5.10464i | −0.0853802 | + | 0.167568i | ||||
\(929\) | 5.06837 | − | 5.62900i | 0.166288 | − | 0.184681i | −0.654242 | − | 0.756286i | \(-0.727012\pi\) |
0.820530 | + | 0.571604i | \(0.193679\pi\) | |||||||
\(930\) | −7.25016 | + | 26.9289i | −0.237742 | + | 0.883032i | ||||
\(931\) | 9.64743 | + | 10.7146i | 0.316182 | + | 0.351155i | ||||
\(932\) | −13.1144 | + | 3.51398i | −0.429575 | + | 0.115104i | ||||
\(933\) | −46.5584 | − | 7.35287i | −1.52425 | − | 0.240722i | ||||
\(934\) | 10.3345 | − | 23.2117i | 0.338156 | − | 0.759511i | ||||
\(935\) | 40.8809 | − | 45.2531i | 1.33695 | − | 1.47993i | ||||
\(936\) | 1.01007 | + | 4.73129i | 0.0330153 | + | 0.154647i | ||||
\(937\) | 1.46193 | − | 9.23027i | 0.0477592 | − | 0.301540i | −0.952233 | − | 0.305371i | \(-0.901219\pi\) |
0.999993 | + | 0.00383116i | \(0.00121950\pi\) | |||||||
\(938\) | 18.5259 | − | 7.11141i | 0.604891 | − | 0.232196i | ||||
\(939\) | −34.0189 | − | 7.21510i | −1.11016 | − | 0.235456i | ||||
\(940\) | 3.36254 | + | 10.4070i | 0.109674 | + | 0.339439i | ||||
\(941\) | 1.26808 | − | 0.133281i | 0.0413384 | − | 0.00434484i | −0.0838367 | − | 0.996480i | \(-0.526717\pi\) |
0.125175 | + | 0.992135i | \(0.460051\pi\) | |||||||
\(942\) | −33.0084 | + | 12.6876i | −1.07547 | + | 0.413385i | ||||
\(943\) | −12.2768 | + | 45.8176i | −0.399787 | + | 1.49203i | ||||
\(944\) | 1.01931 | − | 3.13710i | 0.0331756 | − | 0.102104i | ||||
\(945\) | −20.6714 | + | 1.07698i | −0.672441 | + | 0.0350342i | ||||
\(946\) | 6.64712 | + | 20.4577i | 0.216116 | + | 0.665138i | ||||
\(947\) | 58.2562 | − | 3.05308i | 1.89307 | − | 0.0992117i | 0.929853 | − | 0.367930i | \(-0.119933\pi\) |
0.963219 | + | 0.268718i | \(0.0866001\pi\) | |||||||
\(948\) | 0.0738742 | + | 1.39769i | 0.00239932 | + | 0.0453948i | ||||
\(949\) | −17.4849 | − | 10.0949i | −0.567582 | − | 0.327694i | ||||
\(950\) | 4.93624 | − | 18.1830i | 0.160153 | − | 0.589934i | ||||
\(951\) | 40.4867 | − | 18.0475i | 1.31287 | − | 0.585229i | ||||
\(952\) | 6.88487 | + | 8.50211i | 0.223140 | + | 0.275555i | ||||
\(953\) | −4.95140 | − | 2.52286i | −0.160392 | − | 0.0817236i | 0.371952 | − | 0.928252i | \(-0.378689\pi\) |
−0.532344 | + | 0.846528i | \(0.678689\pi\) | |||||||
\(954\) | −0.885553 | − | 1.21658i | −0.0286708 | − | 0.0393882i | ||||
\(955\) | 0.805288 | + | 15.8647i | 0.0260585 | + | 0.513368i | ||||
\(956\) | −2.90075 | − | 13.6469i | −0.0938169 | − | 0.441374i | ||||
\(957\) | 6.91351 | + | 43.5247i | 0.223482 | + | 1.40695i | ||||
\(958\) | −2.04676 | + | 39.0546i | −0.0661280 | + | 1.26180i | ||||
\(959\) | −0.395441 | − | 3.76237i | −0.0127694 | − | 0.121493i | ||||
\(960\) | −2.87508 | − | 2.59498i | −0.0927928 | − | 0.0837526i | ||||
\(961\) | −2.17927 | + | 20.7343i | −0.0702990 | + | 0.668850i | ||||
\(962\) | −15.2076 | − | 2.40865i | −0.490313 | − | 0.0776580i | ||||
\(963\) | −11.6053 | + | 30.3136i | −0.373977 | + | 0.976843i | ||||
\(964\) | 4.77469 | − | 6.57180i | 0.153782 | − | 0.211663i | ||||
\(965\) | −30.0002 | + | 26.9232i | −0.965741 | + | 0.866687i | ||||
\(966\) | −12.2969 | − | 7.09231i | −0.395646 | − | 0.228191i | ||||
\(967\) | 54.1476 | + | 2.83775i | 1.74127 | + | 0.0912560i | 0.896269 | − | 0.443511i | \(-0.146267\pi\) |
0.845000 | + | 0.534767i | \(0.179600\pi\) | |||||||
\(968\) | 2.25803 | + | 8.42709i | 0.0725759 | + | 0.270857i | ||||
\(969\) | −16.2858 | + | 36.6223i | −0.523174 | + | 1.17648i | ||||
\(970\) | −7.50632 | − | 2.89557i | −0.241013 | − | 0.0929711i | ||||
\(971\) | −27.0422 | + | 8.78655i | −0.867826 | + | 0.281974i | −0.708893 | − | 0.705316i | \(-0.750805\pi\) |
−0.158933 | + | 0.987289i | \(0.550805\pi\) | |||||||
\(972\) | −15.5652 | + | 0.850513i | −0.499255 | + | 0.0272802i | ||||
\(973\) | 0.582108 | + | 3.67528i | 0.0186615 | + | 0.117824i | ||||
\(974\) | 0.433652 | + | 0.751107i | 0.0138951 | + | 0.0240670i | ||||
\(975\) | −13.2700 | − | 4.35340i | −0.424979 | − | 0.139421i | ||||
\(976\) | −5.03489 | + | 8.72069i | −0.161163 | + | 0.279142i | ||||
\(977\) | −10.4590 | − | 4.01484i | −0.334613 | − | 0.128446i | 0.185260 | − | 0.982690i | \(-0.440687\pi\) |
−0.519873 | + | 0.854244i | \(0.674021\pi\) | |||||||
\(978\) | −1.48415 | + | 28.5628i | −0.0474579 | + | 0.913336i | ||||
\(979\) | −31.3851 | − | 28.2593i | −1.00307 | − | 0.903170i | ||||
\(980\) | −2.22792 | + | 8.26039i | −0.0711684 | + | 0.263869i | ||||
\(981\) | 11.4328 | − | 19.8430i | 0.365021 | − | 0.633538i | ||||
\(982\) | 15.8623 | − | 15.8623i | 0.506185 | − | 0.506185i | ||||
\(983\) | 12.5572 | − | 19.3364i | 0.400513 | − | 0.616735i | −0.579665 | − | 0.814855i | \(-0.696817\pi\) |
0.980178 | + | 0.198119i | \(0.0634834\pi\) | |||||||
\(984\) | −17.8587 | + | 0.00795660i | −0.569314 | + | 0.000253647i | ||||
\(985\) | −0.0752182 | + | 45.7652i | −0.00239665 | + | 1.45820i | ||||
\(986\) | 14.3097 | + | 32.1401i | 0.455713 | + | 1.02355i | ||||
\(987\) | −10.6671 | + | 10.6766i | −0.339538 | + | 0.339841i | ||||
\(988\) | −2.17772 | − | 5.67316i | −0.0692825 | − | 0.180487i | ||||
\(989\) | −18.0263 | − | 13.0969i | −0.573204 | − | 0.416457i | ||||
\(990\) | −29.6270 | − | 3.13647i | −0.941608 | − | 0.0996834i | ||||
\(991\) | 8.74556 | − | 6.35402i | 0.277812 | − | 0.201842i | −0.440151 | − | 0.897924i | \(-0.645075\pi\) |
0.717962 | + | 0.696082i | \(0.245075\pi\) | |||||||
\(992\) | −6.03893 | − | 3.92172i | −0.191736 | − | 0.124515i | ||||
\(993\) | 8.29584 | − | 21.6402i | 0.263261 | − | 0.686731i | ||||
\(994\) | −5.10497 | + | 4.59654i | −0.161920 | + | 0.145793i | ||||
\(995\) | 12.6709 | + | 24.9694i | 0.401694 | + | 0.791583i | ||||
\(996\) | −15.4654 | + | 3.29447i | −0.490039 | + | 0.104389i | ||||
\(997\) | −0.668977 | − | 12.7648i | −0.0211867 | − | 0.404267i | −0.988552 | − | 0.150881i | \(-0.951789\pi\) |
0.967365 | − | 0.253386i | \(-0.0815443\pi\) | |||||||
\(998\) | −5.16666 | + | 0.818318i | −0.163548 | + | 0.0259034i | ||||
\(999\) | 15.2679 | − | 47.2043i | 0.483054 | − | 1.49348i |
(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 | 450.2.w.a.113.5 | yes | 480 | |
9.2 | odd | 6 | inner | 450.2.w.a.263.5 | yes | 480 | |
25.2 | odd | 20 | inner | 450.2.w.a.77.5 | ✓ | 480 | |
225.2 | even | 60 | inner | 450.2.w.a.227.5 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.w.a.77.5 | ✓ | 480 | 25.2 | odd | 20 | inner | |
450.2.w.a.113.5 | yes | 480 | 1.1 | even | 1 | trivial | |
450.2.w.a.227.5 | yes | 480 | 225.2 | even | 60 | inner | |
450.2.w.a.263.5 | yes | 480 | 9.2 | odd | 6 | inner |