Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(127,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.bj (of order \(20\), degree \(8\), 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: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(720\) |
Relative dimension: | \(90\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 323.55 | ||
Character | \(\chi\) | \(=\) | 700.323 |
Dual form | 700.2.bj.a.687.55 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.518488 | + | 1.31574i | 0.366626 | + | 0.930368i | ||||
\(3\) | −0.799472 | − | 1.56905i | −0.461576 | − | 0.905893i | −0.998077 | − | 0.0619935i | \(-0.980254\pi\) |
0.536501 | − | 0.843900i | \(-0.319746\pi\) | |||||||
\(4\) | −1.46234 | + | 1.36439i | −0.731171 | + | 0.682195i | ||||
\(5\) | 2.23385 | − | 0.0995329i | 0.999009 | − | 0.0445125i | ||||
\(6\) | 1.64995 | − | 1.86543i | 0.673589 | − | 0.761559i | ||||
\(7\) | 0.707107 | + | 0.707107i | 0.267261 | + | 0.267261i | ||||
\(8\) | −2.55339 | − | 1.21664i | −0.902759 | − | 0.430148i | ||||
\(9\) | −0.0594155 | + | 0.0817784i | −0.0198052 | + | 0.0272595i | ||||
\(10\) | 1.28918 | + | 2.88756i | 0.407676 | + | 0.913127i | ||||
\(11\) | 0.257725 | + | 0.354728i | 0.0777070 | + | 0.106955i | 0.846101 | − | 0.533022i | \(-0.178944\pi\) |
−0.768394 | + | 0.639977i | \(0.778944\pi\) | |||||||
\(12\) | 3.30990 | + | 1.20370i | 0.955486 | + | 0.347478i | ||||
\(13\) | −0.0479319 | − | 0.302630i | −0.0132939 | − | 0.0839344i | 0.980149 | − | 0.198260i | \(-0.0635292\pi\) |
−0.993443 | + | 0.114326i | \(0.963529\pi\) | |||||||
\(14\) | −0.563742 | + | 1.29699i | −0.150666 | + | 0.346636i | ||||
\(15\) | −1.94208 | − | 3.42546i | −0.501442 | − | 0.884449i | ||||
\(16\) | 0.276883 | − | 3.99041i | 0.0692208 | − | 0.997601i | ||||
\(17\) | 4.64793 | + | 2.36824i | 1.12729 | + | 0.574382i | 0.915253 | − | 0.402880i | \(-0.131991\pi\) |
0.212036 | + | 0.977262i | \(0.431991\pi\) | |||||||
\(18\) | −0.138405 | − | 0.0357742i | −0.0326224 | − | 0.00843206i | ||||
\(19\) | 0.262194 | + | 0.806950i | 0.0601514 | + | 0.185127i | 0.976617 | − | 0.214986i | \(-0.0689707\pi\) |
−0.916466 | + | 0.400113i | \(0.868971\pi\) | |||||||
\(20\) | −3.13085 | + | 3.19339i | −0.700080 | + | 0.714065i | ||||
\(21\) | 0.544176 | − | 1.67480i | 0.118749 | − | 0.365471i | ||||
\(22\) | −0.333103 | + | 0.523021i | −0.0710177 | + | 0.111509i | ||||
\(23\) | 0.747959 | − | 4.72242i | 0.155960 | − | 0.984694i | −0.778246 | − | 0.627960i | \(-0.783890\pi\) |
0.934206 | − | 0.356734i | \(-0.116110\pi\) | |||||||
\(24\) | 0.132388 | + | 4.97907i | 0.0270236 | + | 1.01635i | ||||
\(25\) | 4.98019 | − | 0.444684i | 0.996037 | − | 0.0889367i | ||||
\(26\) | 0.373330 | − | 0.219976i | 0.0732161 | − | 0.0431408i | ||||
\(27\) | −5.04211 | − | 0.798592i | −0.970355 | − | 0.153689i | ||||
\(28\) | −1.99880 | − | 0.0692623i | −0.377738 | − | 0.0130894i | ||||
\(29\) | 4.75264 | + | 1.54423i | 0.882544 | + | 0.286756i | 0.715013 | − | 0.699111i | \(-0.246421\pi\) |
0.167531 | + | 0.985867i | \(0.446421\pi\) | |||||||
\(30\) | 3.50007 | − | 4.33132i | 0.639022 | − | 0.790788i | ||||
\(31\) | 3.63845 | − | 1.18220i | 0.653485 | − | 0.212330i | 0.0365347 | − | 0.999332i | \(-0.488368\pi\) |
0.616950 | + | 0.787002i | \(0.288368\pi\) | |||||||
\(32\) | 5.39389 | − | 1.70467i | 0.953515 | − | 0.301346i | ||||
\(33\) | 0.350543 | − | 0.687980i | 0.0610217 | − | 0.119762i | ||||
\(34\) | −0.706091 | + | 7.34337i | −0.121094 | + | 1.25938i | ||||
\(35\) | 1.64995 | + | 1.50919i | 0.278893 | + | 0.255100i | ||||
\(36\) | −0.0246919 | − | 0.200654i | −0.00411531 | − | 0.0334423i | ||||
\(37\) | 4.47023 | − | 0.708014i | 0.734901 | − | 0.116397i | 0.222245 | − | 0.974991i | \(-0.428662\pi\) |
0.512656 | + | 0.858594i | \(0.328662\pi\) | |||||||
\(38\) | −0.925792 | + | 0.763373i | −0.150183 | + | 0.123835i | ||||
\(39\) | −0.436522 | + | 0.317152i | −0.0698995 | + | 0.0507850i | ||||
\(40\) | −5.82498 | − | 2.46365i | −0.921011 | − | 0.389537i | ||||
\(41\) | 2.57793 | + | 1.87298i | 0.402605 | + | 0.292510i | 0.770601 | − | 0.637318i | \(-0.219956\pi\) |
−0.367996 | + | 0.929827i | \(0.619956\pi\) | |||||||
\(42\) | 2.48575 | − | 0.152370i | 0.383559 | − | 0.0235112i | ||||
\(43\) | 0.555848 | − | 0.555848i | 0.0847660 | − | 0.0847660i | −0.663452 | − | 0.748218i | \(-0.730909\pi\) |
0.748218 | + | 0.663452i | \(0.230909\pi\) | |||||||
\(44\) | −0.860869 | − | 0.167096i | −0.129781 | − | 0.0251907i | ||||
\(45\) | −0.124586 | + | 0.188595i | −0.0185721 | + | 0.0281140i | ||||
\(46\) | 6.60129 | − | 1.46440i | 0.973307 | − | 0.215914i | ||||
\(47\) | −4.58810 | + | 2.33775i | −0.669242 | + | 0.340996i | −0.755380 | − | 0.655287i | \(-0.772548\pi\) |
0.0861373 | + | 0.996283i | \(0.472548\pi\) | |||||||
\(48\) | −6.48252 | + | 2.75577i | −0.935671 | + | 0.397762i | ||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | 3.16725 | + | 6.32207i | 0.447917 | + | 0.894075i | ||||
\(51\) | − | 9.18619i | − | 1.28632i | ||||||
\(52\) | 0.482998 | + | 0.377150i | 0.0669797 | + | 0.0523014i | ||||
\(53\) | −2.52501 | + | 1.28656i | −0.346837 | + | 0.176722i | −0.618727 | − | 0.785606i | \(-0.712351\pi\) |
0.271890 | + | 0.962328i | \(0.412351\pi\) | |||||||
\(54\) | −1.56353 | − | 7.04816i | −0.212770 | − | 0.959134i | ||||
\(55\) | 0.611027 | + | 0.766758i | 0.0823908 | + | 0.103390i | ||||
\(56\) | −0.945222 | − | 2.66581i | −0.126311 | − | 0.356234i | ||||
\(57\) | 1.05653 | − | 1.05653i | 0.139941 | − | 0.139941i | ||||
\(58\) | 0.432386 | + | 7.05390i | 0.0567750 | + | 0.926223i | ||||
\(59\) | 9.05837 | + | 6.58129i | 1.17930 | + | 0.856811i | 0.992092 | − | 0.125509i | \(-0.0400565\pi\) |
0.187207 | + | 0.982320i | \(0.440056\pi\) | |||||||
\(60\) | 7.51363 | + | 2.35944i | 0.970006 | + | 0.304603i | ||||
\(61\) | −5.21741 | + | 3.79067i | −0.668021 | + | 0.485346i | −0.869362 | − | 0.494175i | \(-0.835470\pi\) |
0.201341 | + | 0.979521i | \(0.435470\pi\) | |||||||
\(62\) | 3.44196 | + | 4.17429i | 0.437130 | + | 0.530136i | ||||
\(63\) | −0.0998391 | + | 0.0158130i | −0.0125785 | + | 0.00199225i | ||||
\(64\) | 5.03957 | + | 6.21311i | 0.629946 | + | 0.776639i | ||||
\(65\) | −0.137194 | − | 0.671260i | −0.0170169 | − | 0.0832595i | ||||
\(66\) | 1.08695 | + | 0.104515i | 0.133795 | + | 0.0128649i | ||||
\(67\) | −0.746687 | + | 1.46545i | −0.0912223 | + | 0.179034i | −0.932110 | − | 0.362177i | \(-0.882034\pi\) |
0.840887 | + | 0.541210i | \(0.182034\pi\) | |||||||
\(68\) | −10.0281 | + | 2.87841i | −1.21608 | + | 0.349059i | ||||
\(69\) | −8.00771 | + | 2.60186i | −0.964015 | + | 0.313227i | ||||
\(70\) | −1.13022 | + | 2.95340i | −0.135087 | + | 0.352999i | ||||
\(71\) | 4.33171 | + | 1.40746i | 0.514079 | + | 0.167034i | 0.554557 | − | 0.832146i | \(-0.312888\pi\) |
−0.0404774 | + | 0.999180i | \(0.512888\pi\) | |||||||
\(72\) | 0.251206 | − | 0.136525i | 0.0296049 | − | 0.0160896i | ||||
\(73\) | −7.20246 | − | 1.14076i | −0.842984 | − | 0.133516i | −0.280017 | − | 0.959995i | \(-0.590340\pi\) |
−0.562967 | + | 0.826479i | \(0.690340\pi\) | |||||||
\(74\) | 3.24932 | + | 5.51456i | 0.377726 | + | 0.641054i | ||||
\(75\) | −4.67925 | − | 7.45866i | −0.540314 | − | 0.861252i | ||||
\(76\) | −1.48441 | − | 0.822302i | −0.170274 | − | 0.0943245i | ||||
\(77\) | −0.0685915 | + | 0.433070i | −0.00781673 | + | 0.0493529i | ||||
\(78\) | −0.643621 | − | 0.409910i | −0.0728757 | − | 0.0464132i | ||||
\(79\) | 2.03579 | − | 6.26553i | 0.229045 | − | 0.704927i | −0.768811 | − | 0.639476i | \(-0.779151\pi\) |
0.997856 | − | 0.0654512i | \(-0.0208487\pi\) | |||||||
\(80\) | 0.221339 | − | 8.94153i | 0.0247465 | − | 0.999694i | ||||
\(81\) | 2.87171 | + | 8.83820i | 0.319078 | + | 0.982022i | ||||
\(82\) | −1.12772 | + | 4.36300i | −0.124536 | + | 0.481813i | ||||
\(83\) | −0.813624 | − | 0.414562i | −0.0893068 | − | 0.0455041i | 0.408767 | − | 0.912639i | \(-0.365959\pi\) |
−0.498073 | + | 0.867135i | \(0.665959\pi\) | |||||||
\(84\) | 1.48931 | + | 3.19160i | 0.162497 | + | 0.348232i | ||||
\(85\) | 10.6185 | + | 4.82767i | 1.15174 | + | 0.523635i | ||||
\(86\) | 1.01955 | + | 0.443151i | 0.109941 | + | 0.0477862i | ||||
\(87\) | −1.37663 | − | 8.69172i | −0.147591 | − | 0.931850i | ||||
\(88\) | −0.226495 | − | 1.21932i | −0.0241445 | − | 0.129980i | ||||
\(89\) | −5.82023 | − | 8.01086i | −0.616943 | − | 0.849149i | 0.380183 | − | 0.924911i | \(-0.375861\pi\) |
−0.997126 | + | 0.0757621i | \(0.975861\pi\) | |||||||
\(90\) | −0.312737 | − | 0.0661384i | −0.0329654 | − | 0.00697160i | ||||
\(91\) | 0.180099 | − | 0.247885i | 0.0188795 | − | 0.0259854i | ||||
\(92\) | 5.34946 | + | 7.92630i | 0.557719 | + | 0.826374i | ||||
\(93\) | −4.76378 | − | 4.76378i | −0.493981 | − | 0.493981i | ||||
\(94\) | −5.45474 | − | 4.82464i | −0.562614 | − | 0.497624i | ||||
\(95\) | 0.666021 | + | 1.77651i | 0.0683323 | + | 0.182266i | ||||
\(96\) | −6.98699 | − | 7.10047i | −0.713106 | − | 0.724689i | ||||
\(97\) | −4.98735 | − | 9.78823i | −0.506389 | − | 0.993844i | −0.992763 | − | 0.120093i | \(-0.961681\pi\) |
0.486374 | − | 0.873751i | \(-0.338319\pi\) | |||||||
\(98\) | −1.31574 | + | 0.518488i | −0.132910 | + | 0.0523752i | ||||
\(99\) | −0.0443219 | −0.00445452 | ||||||||
\(100\) | −6.67601 | + | 7.44519i | −0.667601 | + | 0.744519i | ||||
\(101\) | −9.28016 | −0.923410 | −0.461705 | − | 0.887033i | \(-0.652762\pi\) | ||||
−0.461705 | + | 0.887033i | \(0.652762\pi\) | |||||||
\(102\) | 12.0866 | − | 4.76293i | 1.19676 | − | 0.471600i | ||||
\(103\) | −1.56673 | − | 3.07488i | −0.154375 | − | 0.302977i | 0.800847 | − | 0.598869i | \(-0.204383\pi\) |
−0.955221 | + | 0.295892i | \(0.904383\pi\) | |||||||
\(104\) | −0.245803 | + | 0.831047i | −0.0241030 | + | 0.0814909i | ||||
\(105\) | 1.04891 | − | 3.79542i | 0.102363 | − | 0.370395i | ||||
\(106\) | −3.00196 | − | 2.65519i | −0.291576 | − | 0.257895i | ||||
\(107\) | −3.84817 | − | 3.84817i | −0.372017 | − | 0.372017i | 0.496195 | − | 0.868211i | \(-0.334730\pi\) |
−0.868211 | + | 0.496195i | \(0.834730\pi\) | |||||||
\(108\) | 8.46288 | − | 5.71159i | 0.814341 | − | 0.549598i | ||||
\(109\) | −11.0924 | + | 15.2673i | −1.06246 | + | 1.46235i | −0.184971 | + | 0.982744i | \(0.559219\pi\) |
−0.877486 | + | 0.479603i | \(0.840781\pi\) | |||||||
\(110\) | −0.692044 | + | 1.20151i | −0.0659838 | + | 0.114559i | ||||
\(111\) | −4.68473 | − | 6.44798i | −0.444655 | − | 0.612016i | ||||
\(112\) | 3.01743 | − | 2.62586i | 0.285120 | − | 0.248120i | ||||
\(113\) | −2.71884 | − | 17.1661i | −0.255767 | − | 1.61485i | −0.696735 | − | 0.717328i | \(-0.745365\pi\) |
0.440968 | − | 0.897523i | \(-0.354635\pi\) | |||||||
\(114\) | 1.93792 | + | 0.842321i | 0.181503 | + | 0.0788906i | ||||
\(115\) | 1.20079 | − | 10.6236i | 0.111974 | − | 0.990660i | ||||
\(116\) | −9.05691 | + | 4.22627i | −0.840913 | + | 0.392399i | ||||
\(117\) | 0.0275965 | + | 0.0140611i | 0.00255129 | + | 0.00129995i | ||||
\(118\) | −3.96261 | + | 15.3308i | −0.364788 | + | 1.41131i | ||||
\(119\) | 1.61199 | + | 4.96118i | 0.147770 | + | 0.454791i | ||||
\(120\) | 0.791317 | + | 11.1093i | 0.0722370 | + | 1.01414i | ||||
\(121\) | 3.33978 | − | 10.2788i | 0.303616 | − | 0.934434i | ||||
\(122\) | −7.69270 | − | 4.89934i | −0.696465 | − | 0.443565i | ||||
\(123\) | 0.877814 | − | 5.54230i | 0.0791498 | − | 0.499732i | ||||
\(124\) | −3.70767 | + | 6.69305i | −0.332958 | + | 0.601053i | ||||
\(125\) | 11.0807 | − | 1.48905i | 0.991091 | − | 0.133185i | ||||
\(126\) | −0.0725711 | − | 0.123163i | −0.00646515 | − | 0.0109723i | ||||
\(127\) | −18.6743 | − | 2.95772i | −1.65708 | − | 0.262455i | −0.743384 | − | 0.668864i | \(-0.766781\pi\) |
−0.913691 | + | 0.406410i | \(0.866781\pi\) | |||||||
\(128\) | −5.56188 | + | 9.85218i | −0.491605 | + | 0.870818i | ||||
\(129\) | −1.31654 | − | 0.427770i | −0.115915 | − | 0.0376630i | ||||
\(130\) | 0.812069 | − | 0.528552i | 0.0712232 | − | 0.0463571i | ||||
\(131\) | −12.2454 | + | 3.97877i | −1.06989 | + | 0.347627i | −0.790443 | − | 0.612535i | \(-0.790150\pi\) |
−0.279443 | + | 0.960162i | \(0.590150\pi\) | |||||||
\(132\) | 0.426059 | + | 1.48434i | 0.0370836 | + | 0.129195i | ||||
\(133\) | −0.385201 | + | 0.755999i | −0.0334011 | + | 0.0655534i | ||||
\(134\) | −2.31530 | − | 0.222625i | −0.200012 | − | 0.0192319i | ||||
\(135\) | −11.3428 | − | 1.28208i | −0.976234 | − | 0.110344i | ||||
\(136\) | −8.98667 | − | 11.7019i | −0.770600 | − | 1.00343i | ||||
\(137\) | −8.72617 | + | 1.38209i | −0.745527 | + | 0.118080i | −0.517629 | − | 0.855605i | \(-0.673185\pi\) |
−0.227898 | + | 0.973685i | \(0.573185\pi\) | |||||||
\(138\) | −7.57527 | − | 9.18702i | −0.644850 | − | 0.782051i | ||||
\(139\) | −12.3080 | + | 8.94231i | −1.04395 | + | 0.758477i | −0.971054 | − | 0.238862i | \(-0.923226\pi\) |
−0.0729008 | + | 0.997339i | \(0.523226\pi\) | |||||||
\(140\) | −4.47192 | + | 0.0442246i | −0.377946 | + | 0.00373766i | ||||
\(141\) | 7.33611 | + | 5.33000i | 0.617812 | + | 0.448867i | ||||
\(142\) | 0.394090 | + | 6.42915i | 0.0330713 | + | 0.539522i | ||||
\(143\) | 0.0949981 | − | 0.0949981i | 0.00794414 | − | 0.00794414i | ||||
\(144\) | 0.309878 | + | 0.259735i | 0.0258231 | + | 0.0216446i | ||||
\(145\) | 10.7704 | + | 2.97653i | 0.894433 | + | 0.247187i | ||||
\(146\) | −2.23345 | − | 10.0680i | −0.184841 | − | 0.833236i | ||||
\(147\) | 1.56905 | − | 0.799472i | 0.129413 | − | 0.0659394i | ||||
\(148\) | −5.57099 | + | 7.13449i | −0.457932 | + | 0.586451i | ||||
\(149\) | − | 9.83096i | − | 0.805384i | −0.915336 | − | 0.402692i | \(-0.868075\pi\) | ||
0.915336 | − | 0.402692i | \(-0.131925\pi\) | |||||||
\(150\) | 7.38752 | − | 10.0239i | 0.603189 | − | 0.818448i | ||||
\(151\) | 11.5705i | 0.941592i | 0.882242 | + | 0.470796i | \(0.156033\pi\) | ||||
−0.882242 | + | 0.470796i | \(0.843967\pi\) | |||||||
\(152\) | 0.312286 | − | 2.37945i | 0.0253297 | − | 0.192999i | ||||
\(153\) | −0.469830 | + | 0.239390i | −0.0379835 | + | 0.0193535i | ||||
\(154\) | −0.605371 | + | 0.134293i | −0.0487822 | + | 0.0108216i | ||||
\(155\) | 8.01009 | − | 3.00301i | 0.643386 | − | 0.241208i | ||||
\(156\) | 0.205626 | − | 1.05937i | 0.0164632 | − | 0.0848175i | ||||
\(157\) | −3.39885 | + | 3.39885i | −0.271258 | + | 0.271258i | −0.829606 | − | 0.558349i | \(-0.811435\pi\) |
0.558349 | + | 0.829606i | \(0.311435\pi\) | |||||||
\(158\) | 9.29934 | − | 0.570025i | 0.739816 | − | 0.0453488i | ||||
\(159\) | 4.03735 | + | 2.93331i | 0.320183 | + | 0.232627i | ||||
\(160\) | 11.8795 | − | 4.34485i | 0.939156 | − | 0.343491i | ||||
\(161\) | 3.86814 | − | 2.81037i | 0.304853 | − | 0.221488i | ||||
\(162\) | −10.1398 | + | 8.36091i | −0.796660 | + | 0.656895i | ||||
\(163\) | 13.2117 | − | 2.09253i | 1.03482 | − | 0.163900i | 0.384160 | − | 0.923267i | \(-0.374491\pi\) |
0.650663 | + | 0.759367i | \(0.274491\pi\) | |||||||
\(164\) | −6.32528 | + | 0.778371i | −0.493921 | + | 0.0607805i | ||||
\(165\) | 0.714585 | − | 1.57174i | 0.0556304 | − | 0.122359i | ||||
\(166\) | 0.123602 | − | 1.28546i | 0.00959336 | − | 0.0997712i | ||||
\(167\) | −3.80413 | + | 7.46603i | −0.294372 | + | 0.577738i | −0.990067 | − | 0.140600i | \(-0.955097\pi\) |
0.695694 | + | 0.718338i | \(0.255097\pi\) | |||||||
\(168\) | −3.42712 | + | 3.61435i | −0.264408 | + | 0.278853i | ||||
\(169\) | 12.2744 | − | 3.98821i | 0.944188 | − | 0.306785i | ||||
\(170\) | −0.846396 | + | 16.4743i | −0.0649156 | + | 1.26352i | ||||
\(171\) | −0.0815694 | − | 0.0265035i | −0.00623777 | − | 0.00202677i | ||||
\(172\) | −0.0544463 | + | 1.57123i | −0.00415149 | + | 0.119805i | ||||
\(173\) | −19.0409 | − | 3.01578i | −1.44765 | − | 0.229286i | −0.617390 | − | 0.786657i | \(-0.711810\pi\) |
−0.830263 | + | 0.557371i | \(0.811810\pi\) | |||||||
\(174\) | 10.7223 | − | 6.31784i | 0.812853 | − | 0.478954i | ||||
\(175\) | 3.83596 | + | 3.20708i | 0.289971 | + | 0.242433i | ||||
\(176\) | 1.48687 | − | 0.930209i | 0.112077 | − | 0.0701172i | ||||
\(177\) | 3.08448 | − | 19.4746i | 0.231844 | − | 1.46380i | ||||
\(178\) | 7.52249 | − | 11.8114i | 0.563834 | − | 0.885305i | ||||
\(179\) | −1.35522 | + | 4.17095i | −0.101294 | + | 0.311752i | −0.988843 | − | 0.148962i | \(-0.952407\pi\) |
0.887549 | + | 0.460714i | \(0.152407\pi\) | |||||||
\(180\) | −0.0751296 | − | 0.445773i | −0.00559983 | − | 0.0332259i | ||||
\(181\) | 6.54082 | + | 20.1306i | 0.486176 | + | 1.49629i | 0.830271 | + | 0.557360i | \(0.188186\pi\) |
−0.344095 | + | 0.938935i | \(0.611814\pi\) | |||||||
\(182\) | 0.419531 | + | 0.108438i | 0.0310977 | + | 0.00803795i | ||||
\(183\) | 10.1189 | + | 5.15586i | 0.748014 | + | 0.381132i | ||||
\(184\) | −7.65532 | + | 11.1482i | −0.564358 | + | 0.821855i | ||||
\(185\) | 9.91535 | − | 2.02653i | 0.728991 | − | 0.148994i | ||||
\(186\) | 3.79793 | − | 8.73785i | 0.278478 | − | 0.640691i | ||||
\(187\) | 0.357807 | + | 2.25911i | 0.0261655 | + | 0.165202i | ||||
\(188\) | 3.51976 | − | 9.67854i | 0.256705 | − | 0.705880i | ||||
\(189\) | −3.00062 | − | 4.13000i | −0.218263 | − | 0.300413i | ||||
\(190\) | −1.99210 | + | 1.79741i | −0.144522 | + | 0.130398i | ||||
\(191\) | −0.249083 | + | 0.342834i | −0.0180230 | + | 0.0248066i | −0.817933 | − | 0.575313i | \(-0.804880\pi\) |
0.799910 | + | 0.600119i | \(0.204880\pi\) | |||||||
\(192\) | 5.71970 | − | 12.8746i | 0.412784 | − | 0.929141i | ||||
\(193\) | 11.5921 | + | 11.5921i | 0.834420 | + | 0.834420i | 0.988118 | − | 0.153698i | \(-0.0491182\pi\) |
−0.153698 | + | 0.988118i | \(0.549118\pi\) | |||||||
\(194\) | 10.2929 | − | 11.6371i | 0.738986 | − | 0.835497i | ||||
\(195\) | −0.943559 | + | 0.751919i | −0.0675696 | + | 0.0538460i | ||||
\(196\) | −1.36439 | − | 1.46234i | −0.0974564 | − | 0.104453i | ||||
\(197\) | −8.89758 | − | 17.4625i | −0.633926 | − | 1.24415i | −0.954862 | − | 0.297049i | \(-0.903997\pi\) |
0.320936 | − | 0.947101i | \(-0.396003\pi\) | |||||||
\(198\) | −0.0229804 | − | 0.0583161i | −0.00163314 | − | 0.00414435i | ||||
\(199\) | 24.2194 | 1.71687 | 0.858435 | − | 0.512923i | \(-0.171437\pi\) | ||||
0.858435 | + | 0.512923i | \(0.171437\pi\) | |||||||
\(200\) | −13.2574 | − | 4.92365i | −0.937437 | − | 0.348155i | ||||
\(201\) | 2.89633 | 0.204291 | ||||||||
\(202\) | −4.81165 | − | 12.2103i | −0.338546 | − | 0.859112i | ||||
\(203\) | 2.26869 | + | 4.45256i | 0.159231 | + | 0.312508i | ||||
\(204\) | 12.5335 | + | 13.4333i | 0.877523 | + | 0.940522i | ||||
\(205\) | 5.94514 | + | 3.92736i | 0.415226 | + | 0.274299i | ||||
\(206\) | 3.23342 | − | 3.65570i | 0.225283 | − | 0.254705i | ||||
\(207\) | 0.341752 | + | 0.341752i | 0.0237534 | + | 0.0237534i | ||||
\(208\) | −1.22089 | + | 0.107474i | −0.0846533 | + | 0.00745201i | ||||
\(209\) | −0.218674 | + | 0.300979i | −0.0151260 | + | 0.0208191i | ||||
\(210\) | 5.53763 | − | 0.587786i | 0.382133 | − | 0.0405611i | ||||
\(211\) | 8.20899 | + | 11.2987i | 0.565130 | + | 0.777835i | 0.991967 | − | 0.126493i | \(-0.0403722\pi\) |
−0.426837 | + | 0.904329i | \(0.640372\pi\) | |||||||
\(212\) | 1.93706 | − | 5.32648i | 0.133038 | − | 0.365824i | ||||
\(213\) | −1.25471 | − | 7.92190i | −0.0859710 | − | 0.542800i | ||||
\(214\) | 3.06796 | − | 7.05842i | 0.209721 | − | 0.482504i | ||||
\(215\) | 1.18636 | − | 1.29701i | 0.0809089 | − | 0.0884552i | ||||
\(216\) | 11.9029 | + | 8.17355i | 0.809887 | + | 0.556140i | ||||
\(217\) | 3.40872 | + | 1.73683i | 0.231399 | + | 0.117904i | ||||
\(218\) | −25.8391 | − | 6.67875i | −1.75005 | − | 0.452342i | ||||
\(219\) | 3.96826 | + | 12.2130i | 0.268150 | + | 0.825281i | ||||
\(220\) | −1.93969 | − | 0.287583i | −0.130774 | − | 0.0193889i | ||||
\(221\) | 0.493916 | − | 1.52012i | 0.0332244 | − | 0.102254i | ||||
\(222\) | 6.05489 | − | 9.50709i | 0.406378 | − | 0.638074i | ||||
\(223\) | −0.323771 | + | 2.04421i | −0.0216813 | + | 0.136890i | −0.996155 | − | 0.0876132i | \(-0.972076\pi\) |
0.974473 | + | 0.224504i | \(0.0720760\pi\) | |||||||
\(224\) | 5.01944 | + | 2.60868i | 0.335376 | + | 0.174300i | ||||
\(225\) | −0.259535 | + | 0.433693i | −0.0173023 | + | 0.0289128i | ||||
\(226\) | 21.1764 | − | 12.4777i | 1.40864 | − | 0.830004i | ||||
\(227\) | −12.6514 | − | 2.00378i | −0.839700 | − | 0.132995i | −0.278253 | − | 0.960508i | \(-0.589755\pi\) |
−0.561447 | + | 0.827512i | \(0.689755\pi\) | |||||||
\(228\) | −0.103489 | + | 2.98653i | −0.00685373 | + | 0.197788i | ||||
\(229\) | 2.07524 | + | 0.674287i | 0.137136 | + | 0.0445582i | 0.376781 | − | 0.926302i | \(-0.377031\pi\) |
−0.239645 | + | 0.970861i | \(0.577031\pi\) | |||||||
\(230\) | 14.6005 | − | 3.92830i | 0.962731 | − | 0.259024i | ||||
\(231\) | 0.734347 | − | 0.238604i | 0.0483165 | − | 0.0156990i | ||||
\(232\) | −10.2566 | − | 9.72527i | −0.673377 | − | 0.638495i | ||||
\(233\) | −3.80966 | + | 7.47689i | −0.249579 | + | 0.489827i | −0.981475 | − | 0.191589i | \(-0.938636\pi\) |
0.731896 | + | 0.681417i | \(0.238636\pi\) | |||||||
\(234\) | −0.00419232 | + | 0.0436003i | −0.000274061 | + | 0.00285024i | ||||
\(235\) | −10.0164 | + | 5.67886i | −0.653401 | + | 0.370448i | ||||
\(236\) | −22.2259 | + | 2.73505i | −1.44678 | + | 0.178037i | ||||
\(237\) | −11.4585 | + | 1.81485i | −0.744310 | + | 0.117887i | ||||
\(238\) | −5.69183 | + | 4.69326i | −0.368946 | + | 0.304219i | ||||
\(239\) | −24.4066 | + | 17.7324i | −1.57873 | + | 1.14701i | −0.660595 | + | 0.750742i | \(0.729696\pi\) |
−0.918134 | + | 0.396271i | \(0.870304\pi\) | |||||||
\(240\) | −14.2067 | + | 6.80122i | −0.917038 | + | 0.439017i | ||||
\(241\) | −6.02647 | − | 4.37849i | −0.388199 | − | 0.282043i | 0.376518 | − | 0.926409i | \(-0.377121\pi\) |
−0.764717 | + | 0.644366i | \(0.777121\pi\) | |||||||
\(242\) | 15.2558 | − | 0.935142i | 0.980682 | − | 0.0601132i | ||||
\(243\) | 0.742497 | − | 0.742497i | 0.0476312 | − | 0.0476312i | ||||
\(244\) | 2.45769 | − | 12.6618i | 0.157337 | − | 0.810591i | ||||
\(245\) | 0.0995329 | + | 2.23385i | 0.00635892 | + | 0.142716i | ||||
\(246\) | 7.74736 | − | 1.71864i | 0.493954 | − | 0.109576i | ||||
\(247\) | 0.231640 | − | 0.118026i | 0.0147389 | − | 0.00750984i | ||||
\(248\) | −10.7287 | − | 1.40806i | −0.681272 | − | 0.0894121i | ||||
\(249\) | 1.60805i | 0.101906i | ||||||||
\(250\) | 7.70443 | + | 13.8073i | 0.487271 | + | 0.873251i | ||||
\(251\) | − | 15.8225i | − | 0.998704i | −0.866399 | − | 0.499352i | \(-0.833571\pi\) | ||
0.866399 | − | 0.499352i | \(-0.166429\pi\) | |||||||
\(252\) | 0.124424 | − | 0.159343i | 0.00783796 | − | 0.0100377i | ||||
\(253\) | 1.86794 | − | 0.951765i | 0.117437 | − | 0.0598370i | ||||
\(254\) | −5.79080 | − | 26.1040i | −0.363347 | − | 1.63791i | ||||
\(255\) | −0.914328 | − | 20.5206i | −0.0572575 | − | 1.28505i | ||||
\(256\) | −15.8467 | − | 2.20975i | −0.990417 | − | 0.138110i | ||||
\(257\) | −2.87950 | + | 2.87950i | −0.179618 | + | 0.179618i | −0.791189 | − | 0.611571i | \(-0.790538\pi\) |
0.611571 | + | 0.791189i | \(0.290538\pi\) | |||||||
\(258\) | −0.119776 | − | 1.95402i | −0.00745694 | − | 0.121652i | ||||
\(259\) | 3.66157 | + | 2.66029i | 0.227519 | + | 0.165302i | ||||
\(260\) | 1.11648 | + | 0.794424i | 0.0692414 | + | 0.0492681i | ||||
\(261\) | −0.408665 | + | 0.296912i | −0.0252957 | + | 0.0183784i | ||||
\(262\) | −11.5841 | − | 14.0488i | −0.715669 | − | 0.867939i | ||||
\(263\) | 31.8947 | − | 5.05163i | 1.96671 | − | 0.311497i | 0.968723 | − | 0.248146i | \(-0.0798212\pi\) |
0.997991 | − | 0.0633510i | \(-0.0201788\pi\) | |||||||
\(264\) | −1.73210 | + | 1.33019i | −0.106603 | + | 0.0818677i | ||||
\(265\) | −5.51245 | + | 3.12530i | −0.338627 | + | 0.191986i | ||||
\(266\) | −1.19442 | − | 0.114848i | −0.0732346 | − | 0.00704176i | ||||
\(267\) | −7.91635 | + | 15.5367i | −0.484473 | + | 0.950831i | ||||
\(268\) | −0.907541 | − | 3.16177i | −0.0554369 | − | 0.193136i | ||||
\(269\) | −24.6071 | + | 7.99532i | −1.50032 | + | 0.487483i | −0.940111 | − | 0.340869i | \(-0.889279\pi\) |
−0.560208 | + | 0.828352i | \(0.689279\pi\) | |||||||
\(270\) | −4.19423 | − | 15.5889i | −0.255252 | − | 0.948712i | ||||
\(271\) | 28.4240 | + | 9.23550i | 1.72663 | + | 0.561017i | 0.992956 | − | 0.118482i | \(-0.0378028\pi\) |
0.733676 | + | 0.679499i | \(0.237803\pi\) | |||||||
\(272\) | 10.7372 | − | 17.8914i | 0.651036 | − | 1.08483i | ||||
\(273\) | −0.532928 | − | 0.0844075i | −0.0322543 | − | 0.00510858i | ||||
\(274\) | −6.34288 | − | 10.7648i | −0.383187 | − | 0.650323i | ||||
\(275\) | 1.44126 | + | 1.65201i | 0.0869113 | + | 0.0996197i | ||||
\(276\) | 8.16005 | − | 14.7304i | 0.491177 | − | 0.886668i | ||||
\(277\) | 1.30141 | − | 8.21677i | 0.0781940 | − | 0.493698i | −0.917247 | − | 0.398319i | \(-0.869594\pi\) |
0.995441 | − | 0.0953788i | \(-0.0304062\pi\) | |||||||
\(278\) | −18.1473 | − | 11.5577i | −1.08840 | − | 0.693185i | ||||
\(279\) | −0.119501 | + | 0.367788i | −0.00715436 | + | 0.0220189i | ||||
\(280\) | −2.37682 | − | 5.86095i | −0.142042 | − | 0.350259i | ||||
\(281\) | 0.396514 | + | 1.22034i | 0.0236540 | + | 0.0727996i | 0.962187 | − | 0.272391i | \(-0.0878143\pi\) |
−0.938533 | + | 0.345190i | \(0.887814\pi\) | |||||||
\(282\) | −3.20920 | + | 12.4159i | −0.191105 | + | 0.739359i | ||||
\(283\) | −13.5950 | − | 6.92700i | −0.808139 | − | 0.411767i | 0.000553067 | − | 1.00000i | \(-0.499824\pi\) |
−0.808692 | + | 0.588233i | \(0.799824\pi\) | |||||||
\(284\) | −8.25475 | + | 3.85195i | −0.489830 | + | 0.228571i | ||||
\(285\) | 2.25497 | − | 2.46529i | 0.133573 | − | 0.146031i | ||||
\(286\) | 0.174248 | + | 0.0757374i | 0.0103035 | + | 0.00447845i | ||||
\(287\) | 0.498478 | + | 3.14727i | 0.0294242 | + | 0.185777i | ||||
\(288\) | −0.181076 | + | 0.542388i | −0.0106700 | + | 0.0319605i | ||||
\(289\) | 6.00235 | + | 8.26153i | 0.353080 | + | 0.485972i | ||||
\(290\) | 1.66798 | + | 15.7143i | 0.0979472 | + | 0.922778i | ||||
\(291\) | −11.3710 | + | 15.6508i | −0.666580 | + | 0.917469i | ||||
\(292\) | 12.0889 | − | 8.15878i | 0.707449 | − | 0.477457i | ||||
\(293\) | 23.3052 | + | 23.3052i | 1.36151 | + | 1.36151i | 0.871998 | + | 0.489509i | \(0.162824\pi\) |
0.489509 | + | 0.871998i | \(0.337176\pi\) | |||||||
\(294\) | 1.86543 | + | 1.64995i | 0.108794 | + | 0.0962270i | ||||
\(295\) | 20.8901 | + | 13.8000i | 1.21627 | + | 0.803468i | ||||
\(296\) | −12.2756 | − | 3.63083i | −0.713506 | − | 0.211037i | ||||
\(297\) | −1.01620 | − | 1.99440i | −0.0589656 | − | 0.115727i | ||||
\(298\) | 12.9350 | − | 5.09723i | 0.749304 | − | 0.295275i | ||||
\(299\) | −1.46500 | −0.0847230 | ||||||||
\(300\) | 17.0192 | + | 4.52279i | 0.982603 | + | 0.261123i | ||||
\(301\) | 0.786088 | 0.0453094 | ||||||||
\(302\) | −15.2237 | + | 5.99915i | −0.876027 | + | 0.345212i | ||||
\(303\) | 7.41923 | + | 14.5611i | 0.426224 | + | 0.836511i | ||||
\(304\) | 3.29265 | − | 0.822829i | 0.188847 | − | 0.0471925i | ||||
\(305\) | −11.2776 | + | 8.98711i | −0.645755 | + | 0.514600i | ||||
\(306\) | −0.558576 | − | 0.494053i | −0.0319317 | − | 0.0282431i | ||||
\(307\) | −15.5197 | − | 15.5197i | −0.885756 | − | 0.885756i | 0.108357 | − | 0.994112i | \(-0.465441\pi\) |
−0.994112 | + | 0.108357i | \(0.965441\pi\) | |||||||
\(308\) | −0.490572 | − | 0.726881i | −0.0279529 | − | 0.0414179i | ||||
\(309\) | −3.57210 | + | 4.91657i | −0.203210 | + | 0.279694i | ||||
\(310\) | 8.10431 | + | 8.98216i | 0.460294 | + | 0.510153i | ||||
\(311\) | 16.4409 | + | 22.6289i | 0.932277 | + | 1.28317i | 0.958965 | + | 0.283526i | \(0.0915041\pi\) |
−0.0266876 | + | 0.999644i | \(0.508496\pi\) | |||||||
\(312\) | 1.50047 | − | 0.278721i | 0.0849474 | − | 0.0157795i | ||||
\(313\) | −0.760676 | − | 4.80272i | −0.0429959 | − | 0.271466i | 0.956819 | − | 0.290683i | \(-0.0938825\pi\) |
−0.999815 | + | 0.0192174i | \(0.993883\pi\) | |||||||
\(314\) | −6.23426 | − | 2.70974i | −0.351820 | − | 0.152919i | ||||
\(315\) | −0.221452 | + | 0.0452611i | −0.0124774 | + | 0.00255017i | ||||
\(316\) | 5.57160 | + | 11.9400i | 0.313427 | + | 0.671675i | ||||
\(317\) | 0.206337 | + | 0.105134i | 0.0115891 | + | 0.00590492i | 0.459775 | − | 0.888035i | \(-0.347930\pi\) |
−0.448186 | + | 0.893940i | \(0.647930\pi\) | |||||||
\(318\) | −1.76615 | + | 6.83299i | −0.0990409 | + | 0.383175i | ||||
\(319\) | 0.677095 | + | 2.08388i | 0.0379100 | + | 0.116675i | ||||
\(320\) | 11.8761 | + | 13.3776i | 0.663892 | + | 0.747829i | ||||
\(321\) | −2.96148 | + | 9.11449i | −0.165294 | + | 0.508721i | ||||
\(322\) | 5.70330 | + | 3.63233i | 0.317833 | + | 0.202422i | ||||
\(323\) | −0.692391 | + | 4.37159i | −0.0385257 | + | 0.243242i | ||||
\(324\) | −16.2582 | − | 9.00634i | −0.903231 | − | 0.500352i | ||||
\(325\) | −0.373284 | − | 1.48584i | −0.0207061 | − | 0.0824195i | ||||
\(326\) | 9.60335 | + | 16.2983i | 0.531880 | + | 0.902677i | ||||
\(327\) | 32.8233 | + | 5.19870i | 1.81513 | + | 0.287489i | ||||
\(328\) | −4.30371 | − | 7.91885i | −0.237633 | − | 0.437245i | ||||
\(329\) | −4.89731 | − | 1.59123i | −0.269998 | − | 0.0877275i | ||||
\(330\) | 2.43850 | + | 0.125282i | 0.134235 | + | 0.00689656i | ||||
\(331\) | 12.8563 | − | 4.17727i | 0.706648 | − | 0.229604i | 0.0664231 | − | 0.997792i | \(-0.478841\pi\) |
0.640225 | + | 0.768188i | \(0.278841\pi\) | |||||||
\(332\) | 1.75542 | − | 0.503868i | 0.0963411 | − | 0.0276534i | ||||
\(333\) | −0.207700 | + | 0.407635i | −0.0113819 | + | 0.0223382i | ||||
\(334\) | −11.7957 | − | 1.13420i | −0.645434 | − | 0.0620608i | ||||
\(335\) | −1.52213 | + | 3.34793i | −0.0831626 | + | 0.182917i | ||||
\(336\) | −6.53246 | − | 2.63521i | −0.356375 | − | 0.143762i | ||||
\(337\) | −21.1019 | + | 3.34221i | −1.14949 | + | 0.182062i | −0.701967 | − | 0.712210i | \(-0.747695\pi\) |
−0.447525 | + | 0.894271i | \(0.647695\pi\) | |||||||
\(338\) | 11.6116 | + | 14.0821i | 0.631587 | + | 0.765967i | ||||
\(339\) | −24.7609 | + | 17.9898i | −1.34483 | + | 0.977074i | ||||
\(340\) | −22.1147 | + | 7.42807i | −1.19934 | + | 0.402844i | ||||
\(341\) | 1.35708 | + | 0.985977i | 0.0734900 | + | 0.0533936i | ||||
\(342\) | −0.00742102 | − | 0.121066i | −0.000401283 | − | 0.00654649i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | −2.09556 | + | 0.743028i | −0.112985 | + | 0.0400614i | ||||
\(345\) | −17.6291 | + | 6.60920i | −0.949117 | + | 0.355828i | ||||
\(346\) | −5.90449 | − | 26.6165i | −0.317427 | − | 1.43091i | ||||
\(347\) | −12.9785 | + | 6.61288i | −0.696723 | + | 0.354998i | −0.766215 | − | 0.642584i | \(-0.777862\pi\) |
0.0694919 | + | 0.997583i | \(0.477862\pi\) | |||||||
\(348\) | 13.8720 | + | 10.8320i | 0.743617 | + | 0.580656i | ||||
\(349\) | 22.5444i | 1.20677i | 0.797449 | + | 0.603387i | \(0.206183\pi\) | ||||
−0.797449 | + | 0.603387i | \(0.793817\pi\) | |||||||
\(350\) | −2.23079 | + | 6.70996i | −0.119241 | + | 0.358663i | ||||
\(351\) | 1.56417i | 0.0834893i | ||||||||
\(352\) | 1.99484 | + | 1.47403i | 0.106325 | + | 0.0785661i | ||||
\(353\) | −19.6212 | + | 9.99752i | −1.04433 | + | 0.532114i | −0.890026 | − | 0.455909i | \(-0.849314\pi\) |
−0.154306 | + | 0.988023i | \(0.549314\pi\) | |||||||
\(354\) | 27.2228 | − | 6.03898i | 1.44688 | − | 0.320968i | ||||
\(355\) | 9.81648 | + | 2.71290i | 0.521005 | + | 0.143986i | ||||
\(356\) | 19.4411 | + | 3.77355i | 1.03038 | + | 0.199998i | ||||
\(357\) | 6.49562 | − | 6.49562i | 0.343785 | − | 0.343785i | ||||
\(358\) | −6.19055 | + | 0.379465i | −0.327181 | + | 0.0200553i | ||||
\(359\) | −6.02809 | − | 4.37966i | −0.318150 | − | 0.231150i | 0.417236 | − | 0.908798i | \(-0.362999\pi\) |
−0.735386 | + | 0.677649i | \(0.762999\pi\) | |||||||
\(360\) | 0.547567 | − | 0.329979i | 0.0288593 | − | 0.0173914i | ||||
\(361\) | 14.7889 | − | 10.7448i | 0.778363 | − | 0.565514i | ||||
\(362\) | −23.0953 | + | 19.0435i | −1.21386 | + | 1.00090i | ||||
\(363\) | −18.7980 | + | 2.97731i | −0.986639 | + | 0.156268i | ||||
\(364\) | 0.0748454 | + | 0.608217i | 0.00392296 | + | 0.0318792i | ||||
\(365\) | −16.2028 | − | 1.83140i | −0.848092 | − | 0.0958599i | ||||
\(366\) | −1.53722 | + | 15.9871i | −0.0803518 | + | 0.835662i | ||||
\(367\) | 13.7614 | − | 27.0083i | 0.718341 | − | 1.40982i | −0.185799 | − | 0.982588i | \(-0.559487\pi\) |
0.904140 | − | 0.427236i | \(-0.140513\pi\) | |||||||
\(368\) | −18.6373 | − | 4.29222i | −0.971536 | − | 0.223747i | ||||
\(369\) | −0.306338 | + | 0.0995352i | −0.0159473 | + | 0.00518159i | ||||
\(370\) | 7.80738 | + | 11.9953i | 0.405886 | + | 0.623605i | ||||
\(371\) | −2.69519 | − | 0.875719i | −0.139927 | − | 0.0454651i | ||||
\(372\) | 13.4659 | + | 0.466621i | 0.698176 | + | 0.0241932i | ||||
\(373\) | 30.5225 | + | 4.83428i | 1.58039 | + | 0.250310i | 0.884048 | − | 0.467397i | \(-0.154808\pi\) |
0.696346 | + | 0.717706i | \(0.254808\pi\) | |||||||
\(374\) | −2.78688 | + | 1.64210i | −0.144106 | + | 0.0849110i | ||||
\(375\) | −11.1951 | − | 16.1958i | −0.578115 | − | 0.836348i | ||||
\(376\) | 14.5594 | − | 0.387119i | 0.750843 | − | 0.0199641i | ||||
\(377\) | 0.239526 | − | 1.51231i | 0.0123362 | − | 0.0778879i | ||||
\(378\) | 3.87822 | − | 6.08939i | 0.199474 | − | 0.313204i | ||||
\(379\) | −3.86609 | + | 11.8986i | −0.198588 | + | 0.611190i | 0.801328 | + | 0.598225i | \(0.204127\pi\) |
−0.999916 | + | 0.0129652i | \(0.995873\pi\) | |||||||
\(380\) | −3.39780 | − | 1.68915i | −0.174303 | − | 0.0866517i | ||||
\(381\) | 10.2888 | + | 31.6656i | 0.527109 | + | 1.62228i | ||||
\(382\) | −0.580227 | − | 0.149974i | −0.0296870 | − | 0.00767332i | ||||
\(383\) | −21.8589 | − | 11.1377i | −1.11694 | − | 0.569108i | −0.204722 | − | 0.978820i | \(-0.565629\pi\) |
−0.912215 | + | 0.409713i | \(0.865629\pi\) | |||||||
\(384\) | 19.9052 | + | 0.850339i | 1.01578 | + | 0.0433937i | ||||
\(385\) | −0.110119 | + | 0.974241i | −0.00561216 | + | 0.0496519i | ||||
\(386\) | −9.24185 | + | 21.2626i | −0.470398 | + | 1.08224i | ||||
\(387\) | 0.0124304 | + | 0.0784823i | 0.000631872 | + | 0.00398948i | ||||
\(388\) | 20.6482 | + | 7.50904i | 1.04825 | + | 0.381214i | ||||
\(389\) | −13.8848 | − | 19.1108i | −0.703989 | − | 0.968958i | −0.999906 | − | 0.0137439i | \(-0.995625\pi\) |
0.295917 | − | 0.955214i | \(-0.404375\pi\) | |||||||
\(390\) | −1.47855 | − | 0.851617i | −0.0748694 | − | 0.0431233i | ||||
\(391\) | 14.6603 | − | 20.1782i | 0.741403 | − | 1.02045i | ||||
\(392\) | 1.21664 | − | 2.55339i | 0.0614497 | − | 0.128966i | ||||
\(393\) | 16.0328 | + | 16.0328i | 0.808746 | + | 0.808746i | ||||
\(394\) | 18.3628 | − | 20.7610i | 0.925104 | − | 1.04592i | ||||
\(395\) | 3.92404 | − | 14.1989i | 0.197440 | − | 0.714424i | ||||
\(396\) | 0.0648138 | − | 0.0604724i | 0.00325702 | − | 0.00303885i | ||||
\(397\) | −6.77920 | − | 13.3049i | −0.340238 | − | 0.667755i | 0.655967 | − | 0.754790i | \(-0.272261\pi\) |
−0.996205 | + | 0.0870343i | \(0.972261\pi\) | |||||||
\(398\) | 12.5575 | + | 31.8665i | 0.629449 | + | 1.59732i | ||||
\(399\) | 1.49416 | 0.0748016 | ||||||||
\(400\) | −0.395538 | − | 19.9961i | −0.0197769 | − | 0.999804i | ||||
\(401\) | −13.6239 | −0.680344 | −0.340172 | − | 0.940363i | \(-0.610485\pi\) | ||||
−0.340172 | + | 0.940363i | \(0.610485\pi\) | |||||||
\(402\) | 1.50171 | + | 3.81082i | 0.0748986 | + | 0.190066i | ||||
\(403\) | −0.532168 | − | 1.04444i | −0.0265092 | − | 0.0520272i | ||||
\(404\) | 13.5708 | − | 12.6618i | 0.675170 | − | 0.629946i | ||||
\(405\) | 7.29465 | + | 19.4574i | 0.362474 | + | 0.966846i | ||||
\(406\) | −4.68212 | + | 5.29361i | −0.232370 | + | 0.262717i | ||||
\(407\) | 1.40324 | + | 1.40324i | 0.0695561 | + | 0.0695561i | ||||
\(408\) | −11.1763 | + | 23.4559i | −0.553309 | + | 1.16124i | ||||
\(409\) | −18.3963 | + | 25.3203i | −0.909636 | + | 1.25201i | 0.0576548 | + | 0.998337i | \(0.481638\pi\) |
−0.967291 | + | 0.253670i | \(0.918362\pi\) | |||||||
\(410\) | −2.08490 | + | 9.85854i | −0.102966 | + | 0.486878i | ||||
\(411\) | 9.14490 | + | 12.5869i | 0.451085 | + | 0.620865i | ||||
\(412\) | 6.48644 | + | 2.35890i | 0.319564 | + | 0.116215i | ||||
\(413\) | 1.75156 | + | 11.0589i | 0.0861886 | + | 0.544173i | ||||
\(414\) | −0.272462 | + | 0.626850i | −0.0133908 | + | 0.0308080i | ||||
\(415\) | −1.85878 | − | 0.845088i | −0.0912438 | − | 0.0414837i | ||||
\(416\) | −0.774424 | − | 1.55065i | −0.0379692 | − | 0.0760267i | ||||
\(417\) | 23.8709 | + | 12.1628i | 1.16896 | + | 0.595617i | ||||
\(418\) | −0.509390 | − | 0.131664i | −0.0249151 | − | 0.00643990i | ||||
\(419\) | −0.872223 | − | 2.68443i | −0.0426109 | − | 0.131143i | 0.927488 | − | 0.373853i | \(-0.121964\pi\) |
−0.970099 | + | 0.242710i | \(0.921964\pi\) | |||||||
\(420\) | 3.64457 | + | 6.98132i | 0.177837 | + | 0.340653i | ||||
\(421\) | 7.11858 | − | 21.9087i | 0.346938 | − | 1.06777i | −0.613600 | − | 0.789617i | \(-0.710279\pi\) |
0.960538 | − | 0.278149i | \(-0.0897209\pi\) | |||||||
\(422\) | −10.6099 | + | 16.6591i | −0.516482 | + | 0.810954i | ||||
\(423\) | 0.0814263 | − | 0.514105i | 0.00395908 | − | 0.0249967i | ||||
\(424\) | 8.01261 | − | 0.213047i | 0.389127 | − | 0.0103465i | ||||
\(425\) | 24.2007 | + | 9.72741i | 1.17391 | + | 0.471849i | ||||
\(426\) | 9.77261 | − | 5.75828i | 0.473485 | − | 0.278989i | ||||
\(427\) | −6.36968 | − | 1.00886i | −0.308250 | − | 0.0488221i | ||||
\(428\) | 10.8777 | + | 0.376935i | 0.525795 | + | 0.0182198i | ||||
\(429\) | −0.225005 | − | 0.0731087i | −0.0108634 | − | 0.00352972i | ||||
\(430\) | 2.32164 | + | 0.888454i | 0.111959 | + | 0.0428451i | ||||
\(431\) | −9.79550 | + | 3.18275i | −0.471833 | + | 0.153308i | −0.535275 | − | 0.844678i | \(-0.679792\pi\) |
0.0634425 | + | 0.997985i | \(0.479792\pi\) | |||||||
\(432\) | −4.58278 | + | 19.8989i | −0.220489 | + | 0.957389i | ||||
\(433\) | −12.5181 | + | 24.5681i | −0.601581 | + | 1.18067i | 0.366591 | + | 0.930382i | \(0.380525\pi\) |
−0.968172 | + | 0.250286i | \(0.919475\pi\) | |||||||
\(434\) | −0.517836 | + | 5.38551i | −0.0248569 | + | 0.258513i | ||||
\(435\) | −3.94031 | − | 19.2790i | −0.188923 | − | 0.924357i | ||||
\(436\) | −4.60977 | − | 37.4604i | −0.220768 | − | 1.79403i | ||||
\(437\) | 4.00687 | − | 0.634626i | 0.191675 | − | 0.0303583i | ||||
\(438\) | −14.0117 | + | 11.5535i | −0.669505 | + | 0.552048i | ||||
\(439\) | 26.8835 | − | 19.5320i | 1.28308 | − | 0.932211i | 0.283438 | − | 0.958991i | \(-0.408525\pi\) |
0.999641 | + | 0.0267793i | \(0.00852514\pi\) | |||||||
\(440\) | −0.627319 | − | 2.70123i | −0.0299062 | − | 0.128776i | ||||
\(441\) | −0.0817784 | − | 0.0594155i | −0.00389421 | − | 0.00282931i | ||||
\(442\) | 2.25617 | − | 0.138297i | 0.107315 | − | 0.00657812i | ||||
\(443\) | 4.70958 | − | 4.70958i | 0.223759 | − | 0.223759i | −0.586320 | − | 0.810079i | \(-0.699424\pi\) |
0.810079 | + | 0.586320i | \(0.199424\pi\) | |||||||
\(444\) | 15.6482 | + | 3.03735i | 0.742633 | + | 0.144146i | ||||
\(445\) | −13.7989 | − | 17.3158i | −0.654129 | − | 0.820846i | ||||
\(446\) | −2.85752 | + | 0.633899i | −0.135307 | + | 0.0300160i | ||||
\(447\) | −15.4253 | + | 7.85958i | −0.729592 | + | 0.371746i | ||||
\(448\) | −0.829819 | + | 7.95685i | −0.0392053 | + | 0.375926i | ||||
\(449\) | − | 32.8207i | − | 1.54890i | −0.632633 | − | 0.774452i | \(-0.718026\pi\) | ||
0.632633 | − | 0.774452i | \(-0.281974\pi\) | |||||||
\(450\) | −0.705192 | − | 0.116616i | −0.0332431 | − | 0.00549731i | ||||
\(451\) | 1.39718i | 0.0657905i | ||||||||
\(452\) | 27.3971 | + | 21.3931i | 1.28865 | + | 1.00625i | ||||
\(453\) | 18.1547 | − | 9.25027i | 0.852981 | − | 0.434616i | ||||
\(454\) | −3.92312 | − | 17.6848i | −0.184121 | − | 0.829990i | ||||
\(455\) | 0.377641 | − | 0.571663i | 0.0177041 | − | 0.0268000i | ||||
\(456\) | −3.98315 | + | 1.41231i | −0.186528 | + | 0.0661376i | ||||
\(457\) | 15.0444 | − | 15.0444i | 0.703748 | − | 0.703748i | −0.261465 | − | 0.965213i | \(-0.584206\pi\) |
0.965213 | + | 0.261465i | \(0.0842056\pi\) | |||||||
\(458\) | 0.188801 | + | 3.08009i | 0.00882211 | + | 0.143923i | ||||
\(459\) | −21.5441 | − | 15.6527i | −1.00559 | − | 0.730606i | ||||
\(460\) | 12.7388 | + | 17.1737i | 0.593950 | + | 0.800730i | ||||
\(461\) | −15.9711 | + | 11.6037i | −0.743849 | + | 0.540438i | −0.893914 | − | 0.448238i | \(-0.852052\pi\) |
0.150065 | + | 0.988676i | \(0.452052\pi\) | |||||||
\(462\) | 0.694690 | + | 0.842496i | 0.0323199 | + | 0.0391965i | ||||
\(463\) | 38.9989 | − | 6.17682i | 1.81243 | − | 0.287061i | 0.844002 | − | 0.536341i | \(-0.180194\pi\) |
0.968432 | + | 0.249280i | \(0.0801938\pi\) | |||||||
\(464\) | 7.47802 | − | 18.5374i | 0.347158 | − | 0.860577i | ||||
\(465\) | −11.1157 | − | 10.1674i | −0.515480 | − | 0.471503i | ||||
\(466\) | −11.8129 | − | 1.13585i | −0.547222 | − | 0.0526173i | ||||
\(467\) | −4.87334 | + | 9.56447i | −0.225511 | + | 0.442591i | −0.975844 | − | 0.218470i | \(-0.929893\pi\) |
0.750332 | + | 0.661061i | \(0.229893\pi\) | |||||||
\(468\) | −0.0595403 | + | 0.0170902i | −0.00275225 | + | 0.000789995i | ||||
\(469\) | −1.56422 | + | 0.508246i | −0.0722290 | + | 0.0234686i | ||||
\(470\) | −12.6653 | − | 10.2346i | −0.584207 | − | 0.472087i | ||||
\(471\) | 8.05026 | + | 2.61569i | 0.370936 | + | 0.120525i | ||||
\(472\) | −15.1225 | − | 27.8254i | −0.696067 | − | 1.28077i | ||||
\(473\) | 0.340431 | + | 0.0539190i | 0.0156530 | + | 0.00247920i | ||||
\(474\) | −8.32897 | − | 14.1354i | −0.382562 | − | 0.649262i | ||||
\(475\) | 1.66461 | + | 3.90217i | 0.0763776 | + | 0.179044i | ||||
\(476\) | −9.12625 | − | 5.05556i | −0.418301 | − | 0.231721i | ||||
\(477\) | 0.0448121 | − | 0.282933i | 0.00205181 | − | 0.0129546i | ||||
\(478\) | −35.9857 | − | 22.9186i | −1.64595 | − | 1.04827i | ||||
\(479\) | 1.32166 | − | 4.06764i | 0.0603880 | − | 0.185855i | −0.916312 | − | 0.400466i | \(-0.868848\pi\) |
0.976700 | + | 0.214611i | \(0.0688483\pi\) | |||||||
\(480\) | −16.3146 | − | 15.1660i | −0.744657 | − | 0.692228i | ||||
\(481\) | −0.428533 | − | 1.31889i | −0.0195394 | − | 0.0601361i | ||||
\(482\) | 2.63630 | − | 10.1995i | 0.120080 | − | 0.464573i | ||||
\(483\) | −7.50210 | − | 3.82251i | −0.341357 | − | 0.173930i | ||||
\(484\) | 9.14036 | + | 19.5878i | 0.415471 | + | 0.890356i | ||||
\(485\) | −12.1153 | − | 21.3690i | −0.550125 | − | 0.970319i | ||||
\(486\) | 1.36191 | + | 0.591957i | 0.0617774 | + | 0.0268517i | ||||
\(487\) | 5.46144 | + | 34.4822i | 0.247481 | + | 1.56254i | 0.728016 | + | 0.685560i | \(0.240443\pi\) |
−0.480535 | + | 0.876976i | \(0.659557\pi\) | |||||||
\(488\) | 17.9340 | − | 3.33134i | 0.811832 | − | 0.150802i | ||||
\(489\) | −13.8457 | − | 19.0570i | −0.626125 | − | 0.861787i | ||||
\(490\) | −2.88756 | + | 1.28918i | −0.130447 | + | 0.0582394i | ||||
\(491\) | 19.5108 | − | 26.8543i | 0.880509 | − | 1.21192i | −0.0957709 | − | 0.995403i | \(-0.530532\pi\) |
0.976280 | − | 0.216513i | \(-0.0694684\pi\) | |||||||
\(492\) | 6.27819 | + | 9.30242i | 0.283043 | + | 0.419385i | ||||
\(493\) | 18.4329 | + | 18.4329i | 0.830174 | + | 0.830174i | ||||
\(494\) | 0.275394 | + | 0.243582i | 0.0123906 | + | 0.0109593i | ||||
\(495\) | −0.0990086 | + | 0.00441149i | −0.00445011 | + | 0.000198282i | ||||
\(496\) | −3.71005 | − | 14.8462i | −0.166586 | − | 0.666615i | ||||
\(497\) | 2.06776 | + | 4.05820i | 0.0927516 | + | 0.182035i | ||||
\(498\) | −2.11577 | + | 0.833754i | −0.0948101 | + | 0.0373614i | ||||
\(499\) | 7.18758 | 0.321760 | 0.160880 | − | 0.986974i | \(-0.448567\pi\) | ||||
0.160880 | + | 0.986974i | \(0.448567\pi\) | |||||||
\(500\) | −14.1722 | + | 17.2959i | −0.633799 | + | 0.773498i | ||||
\(501\) | 14.7559 | 0.659244 | ||||||||
\(502\) | 20.8182 | − | 8.20375i | 0.929163 | − | 0.366151i | ||||
\(503\) | 5.20620 | + | 10.2177i | 0.232133 | + | 0.455586i | 0.977462 | − | 0.211110i | \(-0.0677078\pi\) |
−0.745329 | + | 0.666696i | \(0.767708\pi\) | |||||||
\(504\) | 0.274167 | + | 0.0810917i | 0.0122123 | + | 0.00361211i | ||||
\(505\) | −20.7305 | + | 0.923681i | −0.922495 | + | 0.0411033i | ||||
\(506\) | 2.22078 | + | 1.96425i | 0.0987258 | + | 0.0873216i | ||||
\(507\) | −16.0708 | − | 16.0708i | −0.713729 | − | 0.713729i | ||||
\(508\) | 31.3437 | − | 21.1538i | 1.39065 | − | 0.938549i | ||||
\(509\) | 11.6847 | − | 16.0826i | 0.517914 | − | 0.712847i | −0.467315 | − | 0.884091i | \(-0.654778\pi\) |
0.985229 | + | 0.171244i | \(0.0547785\pi\) | |||||||
\(510\) | 26.5257 | − | 11.8427i | 1.17458 | − | 0.524403i | ||||
\(511\) | −4.28627 | − | 5.89955i | −0.189613 | − | 0.260981i | ||||
\(512\) | −5.30884 | − | 21.9958i | −0.234620 | − | 0.972087i | ||||
\(513\) | −0.677587 | − | 4.27812i | −0.0299162 | − | 0.188883i | ||||
\(514\) | −5.28165 | − | 2.29568i | −0.232964 | − | 0.101258i | ||||
\(515\) | −3.80590 | − | 6.71289i | −0.167708 | − | 0.295805i | ||||
\(516\) | 2.50888 | − | 1.17073i | 0.110447 | − | 0.0515384i | ||||
\(517\) | −2.01173 | − | 1.02503i | −0.0884759 | − | 0.0450807i | ||||
\(518\) | −1.60176 | + | 6.19700i | −0.0703775 | + | 0.272280i | ||||
\(519\) | 10.4908 | + | 32.2872i | 0.460493 | + | 1.41725i | ||||
\(520\) | −0.466372 | + | 1.88090i | −0.0204518 | + | 0.0824830i | ||||
\(521\) | 13.6139 | − | 41.8992i | 0.596434 | − | 1.83564i | 0.0489816 | − | 0.998800i | \(-0.484402\pi\) |
0.547453 | − | 0.836837i | \(-0.315598\pi\) | |||||||
\(522\) | −0.602547 | − | 0.383751i | −0.0263728 | − | 0.0167963i | ||||
\(523\) | −1.01362 | + | 6.39974i | −0.0443225 | + | 0.279841i | −0.999888 | − | 0.0149362i | \(-0.995245\pi\) |
0.955566 | + | 0.294777i | \(0.0952455\pi\) | |||||||
\(524\) | 12.4784 | − | 22.5258i | 0.545120 | − | 0.984045i | ||||
\(525\) | 1.96534 | − | 8.58280i | 0.0857745 | − | 0.374584i | ||||
\(526\) | 23.1837 | + | 39.3460i | 1.01086 | + | 1.71557i | ||||
\(527\) | 19.7110 | + | 3.12192i | 0.858625 | + | 0.135993i | ||||
\(528\) | −2.64826 | − | 1.58930i | −0.115251 | − | 0.0691654i | ||||
\(529\) | 0.132449 | + | 0.0430352i | 0.00575864 | + | 0.00187110i | ||||
\(530\) | −6.97022 | − | 5.63251i | −0.302767 | − | 0.244661i | ||||
\(531\) | −1.07641 | + | 0.349748i | −0.0467124 | + | 0.0151778i | ||||
\(532\) | −0.468182 | − | 1.63109i | −0.0202983 | − | 0.0707168i | ||||
\(533\) | 0.443253 | − | 0.869934i | 0.0191994 | − | 0.0376810i | ||||
\(534\) | −24.5468 | − | 2.36026i | −1.06224 | − | 0.102138i | ||||
\(535\) | −8.97926 | − | 8.21322i | −0.388207 | − | 0.355089i | ||||
\(536\) | 3.68951 | − | 2.83342i | 0.159363 | − | 0.122385i | ||||
\(537\) | 7.62791 | − | 1.20814i | 0.329169 | − | 0.0521352i | ||||
\(538\) | −23.2782 | − | 28.2310i | −1.00359 | − | 1.21713i | ||||
\(539\) | −0.354728 | + | 0.257725i | −0.0152792 | + | 0.0111010i | ||||
\(540\) | 18.3363 | − | 13.6012i | 0.789069 | − | 0.585301i | ||||
\(541\) | −34.3303 | − | 24.9424i | −1.47597 | − | 1.07236i | −0.978826 | − | 0.204692i | \(-0.934381\pi\) |
−0.497148 | − | 0.867666i | \(-0.665619\pi\) | |||||||
\(542\) | 2.58595 | + | 42.1870i | 0.111076 | + | 1.81209i | ||||
\(543\) | 26.3567 | − | 26.3567i | 1.13108 | − | 1.13108i | ||||
\(544\) | 29.1075 | + | 4.85084i | 1.24797 | + | 0.207978i | ||||
\(545\) | −23.2591 | + | 35.2090i | −0.996311 | + | 1.50819i | ||||
\(546\) | −0.165258 | − | 0.744959i | −0.00707240 | − | 0.0318813i | ||||
\(547\) | −15.8194 | + | 8.06040i | −0.676390 | + | 0.344638i | −0.758211 | − | 0.652009i | \(-0.773926\pi\) |
0.0818214 | + | 0.996647i | \(0.473926\pi\) | |||||||
\(548\) | 10.8749 | − | 13.9270i | 0.464554 | − | 0.594931i | ||||
\(549\) | − | 0.651896i | − | 0.0278223i | ||||||
\(550\) | −1.42633 | + | 2.75287i | −0.0608191 | + | 0.117383i | ||||
\(551\) | 4.24003i | 0.180631i | ||||||||
\(552\) | 23.6123 | + | 3.09895i | 1.00501 | + | 0.131900i | ||||
\(553\) | 5.86992 | − | 2.99087i | 0.249614 | − | 0.127185i | ||||
\(554\) | 11.4859 | − | 2.54798i | 0.487989 | − | 0.108253i | ||||
\(555\) | −11.1068 | − | 13.9376i | −0.471457 | − | 0.591616i | ||||
\(556\) | 5.79775 | − | 29.8697i | 0.245880 | − | 1.26676i | ||||
\(557\) | −2.22615 | + | 2.22615i | −0.0943250 | + | 0.0943250i | −0.752695 | − | 0.658370i | \(-0.771246\pi\) |
0.658370 | + | 0.752695i | \(0.271246\pi\) | |||||||
\(558\) | −0.545873 | + | 0.0334606i | −0.0231086 | + | 0.00141650i | ||||
\(559\) | −0.194859 | − | 0.141573i | −0.00824166 | − | 0.00598792i | ||||
\(560\) | 6.47913 | − | 6.16611i | 0.273793 | − | 0.260566i | ||||
\(561\) | 3.25860 | − | 2.36751i | 0.137578 | − | 0.0999564i | ||||
\(562\) | −1.40007 | + | 1.15444i | −0.0590582 | + | 0.0486972i | ||||
\(563\) | −29.4172 | + | 4.65923i | −1.23979 | + | 0.196363i | −0.741681 | − | 0.670753i | \(-0.765971\pi\) |
−0.498107 | + | 0.867116i | \(0.665971\pi\) | |||||||
\(564\) | −18.0001 | + | 2.21504i | −0.757940 | + | 0.0932700i | ||||
\(565\) | −7.78209 | − | 38.0759i | −0.327395 | − | 1.60187i | ||||
\(566\) | 2.06529 | − | 21.4790i | 0.0868104 | − | 0.902831i | ||||
\(567\) | −4.21895 | + | 8.28015i | −0.177179 | + | 0.347734i | ||||
\(568\) | −9.34816 | − | 8.86392i | −0.392240 | − | 0.371922i | ||||
\(569\) | 23.0438 | − | 7.48738i | 0.966045 | − | 0.313887i | 0.216827 | − | 0.976210i | \(-0.430429\pi\) |
0.749218 | + | 0.662323i | \(0.230429\pi\) | |||||||
\(570\) | 4.41286 | + | 1.68873i | 0.184834 | + | 0.0707333i | ||||
\(571\) | 8.74947 | + | 2.84287i | 0.366154 | + | 0.118971i | 0.486314 | − | 0.873784i | \(-0.338341\pi\) |
−0.120161 | + | 0.992754i | \(0.538341\pi\) | |||||||
\(572\) | −0.00930523 | + | 0.268534i | −0.000389071 | + | 0.0112280i | ||||
\(573\) | 0.737060 | + | 0.116739i | 0.0307911 | + | 0.00487683i | ||||
\(574\) | −3.88253 | + | 2.28769i | −0.162054 | + | 0.0954861i | ||||
\(575\) | 1.62499 | − | 23.8512i | 0.0677667 | − | 0.994662i | ||||
\(576\) | −0.807526 | + | 0.0429729i | −0.0336469 | + | 0.00179054i | ||||
\(577\) | −3.14903 | + | 19.8822i | −0.131096 | + | 0.827708i | 0.831254 | + | 0.555893i | \(0.187624\pi\) |
−0.962350 | + | 0.271814i | \(0.912376\pi\) | |||||||
\(578\) | −7.75787 | + | 12.1810i | −0.322685 | + | 0.506664i | ||||
\(579\) | 8.92108 | − | 27.4563i | 0.370747 | − | 1.14104i | ||||
\(580\) | −19.8112 | + | 10.3423i | −0.822613 | + | 0.429441i | ||||
\(581\) | −0.282179 | − | 0.868458i | −0.0117068 | − | 0.0360297i | ||||
\(582\) | −26.4882 | − | 6.84651i | −1.09797 | − | 0.283797i | ||||
\(583\) | −1.10714 | − | 0.564114i | −0.0458529 | − | 0.0233632i | ||||
\(584\) | 17.0028 | + | 11.6756i | 0.703580 | + | 0.483140i | ||||
\(585\) | 0.0630460 | + | 0.0286637i | 0.00260663 | + | 0.00118510i | ||||
\(586\) | −18.5802 | + | 42.7471i | −0.767539 | + | 1.76587i | ||||
\(587\) | 3.98217 | + | 25.1424i | 0.164362 | + | 1.03774i | 0.922599 | + | 0.385760i | \(0.126061\pi\) |
−0.758238 | + | 0.651978i | \(0.773939\pi\) | |||||||
\(588\) | −1.20370 | + | 3.30990i | −0.0496397 | + | 0.136498i | ||||
\(589\) | 1.90796 | + | 2.62608i | 0.0786161 | + | 0.108206i | ||||
\(590\) | −7.32597 | + | 34.6411i | −0.301605 | + | 1.42615i | ||||
\(591\) | −20.2862 | + | 27.9215i | −0.834462 | + | 1.14854i | ||||
\(592\) | −1.58753 | − | 18.0341i | −0.0652472 | − | 0.741195i | ||||
\(593\) | 2.63836 | + | 2.63836i | 0.108344 | + | 0.108344i | 0.759201 | − | 0.650857i | \(-0.225590\pi\) |
−0.650857 | + | 0.759201i | \(0.725590\pi\) | |||||||
\(594\) | 2.09722 | − | 2.37112i | 0.0860500 | − | 0.0972882i | ||||
\(595\) | 4.09474 | + | 10.9221i | 0.167868 | + | 0.447762i | ||||
\(596\) | 13.4133 | + | 14.3762i | 0.549429 | + | 0.588873i | ||||
\(597\) | −19.3628 | − | 38.0016i | −0.792465 | − | 1.55530i | ||||
\(598\) | −0.759583 | − | 1.92756i | −0.0310617 | − | 0.0788236i | ||||
\(599\) | −15.4203 | −0.630056 | −0.315028 | − | 0.949082i | \(-0.602014\pi\) | ||||
−0.315028 | + | 0.949082i | \(0.602014\pi\) | |||||||
\(600\) | 2.87343 | + | 24.7378i | 0.117307 | + | 1.00992i | ||||
\(601\) | −44.4119 | −1.81160 | −0.905800 | − | 0.423705i | \(-0.860729\pi\) | ||||
−0.905800 | + | 0.423705i | \(0.860729\pi\) | |||||||
\(602\) | 0.407577 | + | 1.03429i | 0.0166116 | + | 0.0421544i | ||||
\(603\) | −0.0754778 | − | 0.148133i | −0.00307369 | − | 0.00603246i | ||||
\(604\) | −15.7866 | − | 16.9200i | −0.642349 | − | 0.688464i | ||||
\(605\) | 6.43749 | − | 23.2937i | 0.261721 | − | 0.947023i | ||||
\(606\) | −15.3118 | + | 17.3115i | −0.621999 | + | 0.703232i | ||||
\(607\) | 13.1702 | + | 13.1702i | 0.534563 | + | 0.534563i | 0.921927 | − | 0.387364i | \(-0.126614\pi\) |
−0.387364 | + | 0.921927i | \(0.626614\pi\) | |||||||
\(608\) | 2.78983 | + | 3.90565i | 0.113143 | + | 0.158395i | ||||
\(609\) | 5.17255 | − | 7.11940i | 0.209602 | − | 0.288493i | ||||
\(610\) | −17.6720 | − | 10.1787i | −0.715519 | − | 0.412124i | ||||
\(611\) | 0.927390 | + | 1.27644i | 0.0375182 | + | 0.0516393i | ||||
\(612\) | 0.360430 | − | 0.991101i | 0.0145695 | − | 0.0400629i | ||||
\(613\) | 6.05110 | + | 38.2051i | 0.244402 | + | 1.54309i | 0.738842 | + | 0.673879i | \(0.235373\pi\) |
−0.494440 | + | 0.869212i | \(0.664627\pi\) | |||||||
\(614\) | 12.3731 | − | 28.4666i | 0.499338 | − | 1.14882i | ||||
\(615\) | 1.40927 | − | 12.4680i | 0.0568271 | − | 0.502760i | ||||
\(616\) | 0.702031 | − | 1.02234i | 0.0282856 | − | 0.0411914i | ||||
\(617\) | 28.6002 | + | 14.5725i | 1.15140 | + | 0.586669i | 0.922201 | − | 0.386710i | \(-0.126389\pi\) |
0.229201 | + | 0.973379i | \(0.426389\pi\) | |||||||
\(618\) | −8.32102 | − | 2.15077i | −0.334720 | − | 0.0865166i | ||||
\(619\) | 8.16427 | + | 25.1270i | 0.328150 | + | 1.00994i | 0.969999 | + | 0.243110i | \(0.0781676\pi\) |
−0.641849 | + | 0.766831i | \(0.721832\pi\) | |||||||
\(620\) | −7.61620 | + | 15.3203i | −0.305874 | + | 0.615278i | ||||
\(621\) | −7.54258 | + | 23.2137i | −0.302673 | + | 0.931533i | ||||
\(622\) | −21.2494 | + | 33.3647i | −0.852023 | + | 1.33780i | ||||
\(623\) | 1.54901 | − | 9.78006i | 0.0620597 | − | 0.391830i | ||||
\(624\) | 1.14470 | + | 1.82971i | 0.0458246 | + | 0.0732472i | ||||
\(625\) | 24.6045 | − | 4.42921i | 0.984181 | − | 0.177169i | ||||
\(626\) | 5.92473 | − | 3.49100i | 0.236800 | − | 0.139528i | ||||
\(627\) | 0.647076 | + | 0.102487i | 0.0258417 | + | 0.00409293i | ||||
\(628\) | 0.332923 | − | 9.60763i | 0.0132851 | − | 0.383386i | ||||
\(629\) | 22.4540 | + | 7.29576i | 0.895301 | + | 0.290901i | ||||
\(630\) | −0.174372 | − | 0.267906i | −0.00694714 | − | 0.0106736i | ||||
\(631\) | 12.5146 | − | 4.06624i | 0.498198 | − | 0.161874i | −0.0491303 | − | 0.998792i | \(-0.515645\pi\) |
0.547328 | + | 0.836918i | \(0.315645\pi\) | |||||||
\(632\) | −12.8211 | + | 13.5215i | −0.509995 | + | 0.537856i | ||||
\(633\) | 11.1654 | − | 21.9134i | 0.443785 | − | 0.870978i | ||||
\(634\) | −0.0313458 | + | 0.325997i | −0.00124490 | + | 0.0129470i | ||||
\(635\) | −42.0100 | − | 4.74839i | −1.66712 | − | 0.188434i | ||||
\(636\) | −9.90616 | + | 1.21902i | −0.392805 | + | 0.0483374i | ||||
\(637\) | 0.302630 | − | 0.0479319i | 0.0119906 | − | 0.00189913i | ||||
\(638\) | −2.39078 | + | 1.97135i | −0.0946520 | + | 0.0780464i | ||||
\(639\) | −0.372470 | + | 0.270615i | −0.0147347 | + | 0.0107054i | ||||
\(640\) | −11.4438 | + | 22.5619i | −0.452356 | + | 0.891837i | ||||
\(641\) | −26.5848 | − | 19.3150i | −1.05004 | − | 0.762897i | −0.0778177 | − | 0.996968i | \(-0.524795\pi\) |
−0.972220 | + | 0.234071i | \(0.924795\pi\) | |||||||
\(642\) | −13.5278 | + | 0.829217i | −0.533899 | + | 0.0327266i | ||||
\(643\) | 0.543400 | − | 0.543400i | 0.0214296 | − | 0.0214296i | −0.696311 | − | 0.717740i | \(-0.745176\pi\) |
0.717740 | + | 0.696311i | \(0.245176\pi\) | |||||||
\(644\) | −1.82211 | + | 9.38738i | −0.0718010 | + | 0.369915i | ||||
\(645\) | −2.98353 | − | 0.824535i | −0.117476 | − | 0.0324660i | ||||
\(646\) | −6.11086 | + | 1.35561i | −0.240429 | + | 0.0533356i | ||||
\(647\) | −24.5869 | + | 12.5277i | −0.966613 | + | 0.492514i | −0.864705 | − | 0.502280i | \(-0.832495\pi\) |
−0.101908 | + | 0.994794i | \(0.532495\pi\) | |||||||
\(648\) | 3.42034 | − | 26.0612i | 0.134364 | − | 1.02378i | ||||
\(649\) | 4.90942i | 0.192712i | ||||||||
\(650\) | 1.76143 | − | 1.26153i | 0.0690891 | − | 0.0494814i | ||||
\(651\) | − | 6.73700i | − | 0.264044i | ||||||
\(652\) | −16.4650 | + | 21.0860i | −0.644821 | + | 0.825790i | ||||
\(653\) | 23.8233 | − | 12.1386i | 0.932277 | − | 0.475019i | 0.0792322 | − | 0.996856i | \(-0.474753\pi\) |
0.853045 | + | 0.521837i | \(0.174753\pi\) | |||||||
\(654\) | 10.1783 | + | 45.8824i | 0.398005 | + | 1.79414i | ||||
\(655\) | −26.9584 | + | 10.1068i | −1.05335 | + | 0.394906i | ||||
\(656\) | 8.18772 | − | 9.76839i | 0.319677 | − | 0.381392i | ||||
\(657\) | 0.521227 | − | 0.521227i | 0.0203350 | − | 0.0203350i | ||||
\(658\) | −0.445547 | − | 7.26862i | −0.0173692 | − | 0.283360i | ||||
\(659\) | −20.4799 | − | 14.8795i | −0.797784 | − | 0.579624i | 0.112480 | − | 0.993654i | \(-0.464121\pi\) |
−0.910263 | + | 0.414030i | \(0.864121\pi\) | |||||||
\(660\) | 1.09949 | + | 3.27339i | 0.0427977 | + | 0.127416i | ||||
\(661\) | −0.528842 | + | 0.384226i | −0.0205696 | + | 0.0149447i | −0.598023 | − | 0.801479i | \(-0.704047\pi\) |
0.577453 | + | 0.816424i | \(0.304047\pi\) | |||||||
\(662\) | 12.1621 | + | 14.7497i | 0.472692 | + | 0.573264i | ||||
\(663\) | −2.78002 | + | 0.440311i | −0.107967 | + | 0.0171003i | ||||
\(664\) | 1.57312 | + | 2.04842i | 0.0610490 | + | 0.0794943i | ||||
\(665\) | −0.785234 | + | 1.72713i | −0.0304501 | + | 0.0669752i | ||||
\(666\) | −0.644031 | − | 0.0619259i | −0.0249557 | − | 0.00239958i | ||||
\(667\) | 10.8473 | − | 21.2890i | 0.420008 | − | 0.824313i | ||||
\(668\) | −4.62363 | − | 16.1082i | −0.178894 | − | 0.623245i | ||||
\(669\) | 3.46632 | − | 1.12627i | 0.134016 | − | 0.0435443i | ||||
\(670\) | −5.19421 | − | 0.266862i | −0.200670 | − | 0.0103098i | ||||
\(671\) | −2.68932 | − | 0.873812i | −0.103820 | − | 0.0337331i | ||||
\(672\) | 0.0802446 | − | 9.96134i | 0.00309550 | − | 0.384267i | ||||
\(673\) | 12.0497 | + | 1.90848i | 0.464481 | + | 0.0735665i | 0.384289 | − | 0.923213i | \(-0.374447\pi\) |
0.0801920 | + | 0.996779i | \(0.474447\pi\) | |||||||
\(674\) | −15.3385 | − | 26.0317i | −0.590818 | − | 1.00270i | ||||
\(675\) | −25.4658 | − | 1.73499i | −0.980178 | − | 0.0667799i | ||||
\(676\) | −12.5080 | + | 22.5792i | −0.481075 | + | 0.868433i | ||||
\(677\) | −0.587831 | + | 3.71142i | −0.0225922 | + | 0.142642i | −0.996406 | − | 0.0847053i | \(-0.973005\pi\) |
0.973814 | + | 0.227347i | \(0.0730051\pi\) | |||||||
\(678\) | −36.5082 | − | 23.2514i | −1.40209 | − | 0.892964i | ||||
\(679\) | 3.39473 | − | 10.4479i | 0.130278 | − | 0.400954i | ||||
\(680\) | −21.2396 | − | 25.2458i | −0.814502 | − | 0.968133i | ||||
\(681\) | 6.97038 | + | 21.4526i | 0.267106 | + | 0.822066i | ||||
\(682\) | −0.593659 | + | 2.29678i | −0.0227324 | + | 0.0879483i | ||||
\(683\) | −19.8047 | − | 10.0910i | −0.757806 | − | 0.386122i | 0.0319920 | − | 0.999488i | \(-0.489815\pi\) |
−0.789798 | + | 0.613366i | \(0.789815\pi\) | |||||||
\(684\) | 0.155443 | − | 0.0725353i | 0.00594353 | − | 0.00277346i | ||||
\(685\) | −19.3554 | + | 3.95592i | −0.739532 | + | 0.151148i | ||||
\(686\) | −1.29699 | − | 0.563742i | −0.0495195 | − | 0.0215238i | ||||
\(687\) | −0.601107 | − | 3.79524i | −0.0229337 | − | 0.144797i | ||||
\(688\) | −2.06415 | − | 2.37196i | −0.0786951 | − | 0.0904303i | ||||
\(689\) | 0.510379 | + | 0.702477i | 0.0194439 | + | 0.0267622i | ||||
\(690\) | −17.8364 | − | 19.7685i | −0.679022 | − | 0.752572i | ||||
\(691\) | −0.140526 | + | 0.193417i | −0.00534586 | + | 0.00735794i | −0.811682 | − | 0.584100i | \(-0.801448\pi\) |
0.806336 | + | 0.591458i | \(0.201448\pi\) | |||||||
\(692\) | 31.9590 | − | 21.5691i | 1.21490 | − | 0.819934i | ||||
\(693\) | −0.0313403 | − | 0.0313403i | −0.00119052 | − | 0.00119052i | ||||
\(694\) | −15.4300 | − | 13.6476i | −0.585716 | − | 0.518057i | ||||
\(695\) | −26.6043 | + | 21.2009i | −1.00916 | + | 0.804194i | ||||
\(696\) | −7.05962 | + | 23.8682i | −0.267594 | + | 0.904721i | ||||
\(697\) | 7.54638 | + | 14.8106i | 0.285840 | + | 0.560992i | ||||
\(698\) | −29.6626 | + | 11.6890i | −1.12274 | + | 0.442435i | ||||
\(699\) | 14.7774 | 0.558931 | ||||||||
\(700\) | −9.98520 | + | 0.543894i | −0.377405 | + | 0.0205573i | ||||
\(701\) | 11.1331 | 0.420493 | 0.210246 | − | 0.977648i | \(-0.432573\pi\) | ||||
0.210246 | + | 0.977648i | \(0.432573\pi\) | |||||||
\(702\) | −2.05804 | + | 0.811004i | −0.0776758 | + | 0.0306094i | ||||
\(703\) | 1.74340 | + | 3.42161i | 0.0657535 | + | 0.129049i | ||||
\(704\) | −0.905142 | + | 3.38895i | −0.0341138 | + | 0.127726i | ||||
\(705\) | 16.9183 | + | 11.1762i | 0.637180 | + | 0.420921i | ||||
\(706\) | −23.3275 | − | 20.6328i | −0.877942 | − | 0.776527i | ||||
\(707\) | −6.56206 | − | 6.56206i | −0.246792 | − | 0.246792i | ||||
\(708\) | 22.0604 | + | 32.6870i | 0.829081 | + | 1.22845i | ||||
\(709\) | −23.9111 | + | 32.9108i | −0.898000 | + | 1.23599i | 0.0731015 | + | 0.997325i | \(0.476710\pi\) |
−0.971102 | + | 0.238667i | \(0.923290\pi\) | |||||||
\(710\) | 1.52025 | + | 14.3225i | 0.0570540 | + | 0.537515i | ||||
\(711\) | 0.391427 | + | 0.538753i | 0.0146797 | + | 0.0202048i | ||||
\(712\) | 5.11496 | + | 27.5359i | 0.191691 | + | 1.03195i | ||||
\(713\) | −2.86146 | − | 18.0665i | −0.107162 | − | 0.676597i | ||||
\(714\) | 11.9144 | + | 5.17864i | 0.445887 | + | 0.193806i | ||||
\(715\) | 0.202756 | − | 0.221667i | 0.00758265 | − | 0.00828988i | ||||
\(716\) | −3.70900 | − | 7.94841i | −0.138612 | − | 0.297046i | ||||
\(717\) | 47.3354 | + | 24.1186i | 1.76777 | + | 0.900726i | ||||
\(718\) | 2.63700 | − | 10.2022i | 0.0984121 | − | 0.380742i | ||||
\(719\) | −6.20357 | − | 19.0926i | −0.231354 | − | 0.712035i | −0.997584 | − | 0.0694684i | \(-0.977870\pi\) |
0.766230 | − | 0.642566i | \(-0.222130\pi\) | |||||||
\(720\) | 0.718073 | + | 0.549366i | 0.0267610 | + | 0.0204737i | ||||
\(721\) | 1.06642 | − | 3.28212i | 0.0397157 | − | 0.122232i | ||||
\(722\) | 21.8052 | + | 13.8873i | 0.811505 | + | 0.516832i | ||||
\(723\) | −2.05208 | + | 12.9563i | −0.0763177 | + | 0.481851i | ||||
\(724\) | −37.0309 | − | 20.5136i | −1.37624 | − | 0.762380i | ||||
\(725\) | 24.3557 | + | 5.57712i | 0.904550 | + | 0.207129i | ||||
\(726\) | −13.6639 | − | 23.1896i | −0.507115 | − | 0.860646i | ||||
\(727\) | 29.7970 | + | 4.71938i | 1.10511 | + | 0.175032i | 0.682219 | − | 0.731148i | \(-0.261015\pi\) |
0.422891 | + | 0.906180i | \(0.361015\pi\) | |||||||
\(728\) | −0.761448 | + | 0.413830i | −0.0282212 | + | 0.0153376i | ||||
\(729\) | 24.7560 | + | 8.04370i | 0.916888 | + | 0.297915i | ||||
\(730\) | −5.99129 | − | 22.2682i | −0.221748 | − | 0.824183i | ||||
\(731\) | 3.89992 | − | 1.26716i | 0.144244 | − | 0.0468677i | ||||
\(732\) | −21.8320 | + | 6.26656i | −0.806932 | + | 0.231619i | ||||
\(733\) | 5.51427 | − | 10.8224i | 0.203674 | − | 0.399733i | −0.766464 | − | 0.642288i | \(-0.777985\pi\) |
0.970138 | + | 0.242555i | \(0.0779854\pi\) | |||||||
\(734\) | 42.6711 | + | 4.10298i | 1.57502 | + | 0.151444i | ||||
\(735\) | 3.42546 | − | 1.94208i | 0.126350 | − | 0.0716345i | ||||
\(736\) | −4.01576 | − | 26.7473i | −0.148023 | − | 0.985918i | ||||
\(737\) | −0.712278 | + | 0.112814i | −0.0262371 | + | 0.00415555i | ||||
\(738\) | −0.289795 | − | 0.351453i | −0.0106675 | − | 0.0129372i | ||||
\(739\) | −24.9027 | + | 18.0928i | −0.916059 | + | 0.665556i | −0.942540 | − | 0.334093i | \(-0.891570\pi\) |
0.0264808 | + | 0.999649i | \(0.491570\pi\) | |||||||
\(740\) | −11.7346 | + | 16.4919i | −0.431374 | + | 0.606254i | ||||
\(741\) | −0.370379 | − | 0.269096i | −0.0136062 | − | 0.00988550i | ||||
\(742\) | −0.245202 | − | 4.00021i | −0.00900167 | − | 0.146852i | ||||
\(743\) | 32.7485 | − | 32.7485i | 1.20142 | − | 1.20142i | 0.227691 | − | 0.973733i | \(-0.426882\pi\) |
0.973733 | − | 0.227691i | \(-0.0731177\pi\) | |||||||
\(744\) | 6.36796 | + | 17.9596i | 0.233461 | + | 0.658430i | ||||
\(745\) | −0.978504 | − | 21.9609i | −0.0358496 | − | 0.804586i | ||||
\(746\) | 9.46486 | + | 42.6661i | 0.346533 | + | 1.56212i | ||||
\(747\) | 0.0822440 | − | 0.0419054i | 0.00300915 | − | 0.00153324i | ||||
\(748\) | −3.60554 | − | 2.81540i | −0.131831 | − | 0.102941i | ||||
\(749\) | − | 5.44213i | − | 0.198851i | ||||||
\(750\) | 15.5049 | − | 23.1272i | 0.566160 | − | 0.844487i | ||||
\(751\) | 9.03509i | 0.329695i | 0.986319 | + | 0.164848i | \(0.0527132\pi\) | ||||
−0.986319 | + | 0.164848i | \(0.947287\pi\) | |||||||
\(752\) | 8.05821 | + | 18.9556i | 0.293853 | + | 0.691241i | ||||
\(753\) | −24.8263 | + | 12.6496i | −0.904720 | + | 0.460978i | ||||
\(754\) | 2.11400 | − | 0.468960i | 0.0769873 | − | 0.0170785i | ||||
\(755\) | 1.15164 | + | 25.8467i | 0.0419126 | + | 0.940658i | ||||
\(756\) | 10.0229 | + | 1.94545i | 0.364528 | + | 0.0707555i | ||||
\(757\) | −2.69714 | + | 2.69714i | −0.0980292 | + | 0.0980292i | −0.754421 | − | 0.656391i | \(-0.772082\pi\) |
0.656391 | + | 0.754421i | \(0.272082\pi\) | |||||||
\(758\) | −17.6600 | + | 1.08251i | −0.641439 | + | 0.0393185i | ||||
\(759\) | −2.98674 | − | 2.16999i | −0.108412 | − | 0.0787658i | ||||
\(760\) | 0.460767 | − | 5.34642i | 0.0167138 | − | 0.193935i | ||||
\(761\) | −8.93819 | + | 6.49397i | −0.324009 | + | 0.235406i | −0.737884 | − | 0.674927i | \(-0.764175\pi\) |
0.413875 | + | 0.910334i | \(0.364175\pi\) | |||||||
\(762\) | −36.3290 | + | 29.9555i | −1.31606 | + | 1.08517i | ||||
\(763\) | −18.6391 | + | 2.95215i | −0.674782 | + | 0.106875i | ||||
\(764\) | −0.103514 | − | 0.841187i | −0.00374500 | − | 0.0304331i | ||||
\(765\) | −1.02570 | + | 0.581526i | −0.0370843 | + | 0.0210251i | ||||
\(766\) | 3.32069 | − | 34.5353i | 0.119982 | − | 1.24781i | ||||
\(767\) | 1.55751 | − | 3.05679i | 0.0562385 | − | 0.110374i | ||||
\(768\) | 9.20176 | + | 26.6309i | 0.332040 | + | 0.960960i | ||||
\(769\) | 25.7809 | − | 8.37671i | 0.929681 | − | 0.302072i | 0.195249 | − | 0.980754i | \(-0.437449\pi\) |
0.734432 | + | 0.678682i | \(0.237449\pi\) | |||||||
\(770\) | −1.33894 | + | 0.360245i | −0.0482521 | + | 0.0129823i | ||||
\(771\) | 6.82016 | + | 2.21600i | 0.245622 | + | 0.0798074i | ||||
\(772\) | −32.7678 | − | 1.13547i | −1.17934 | − | 0.0408665i | ||||
\(773\) | −18.2396 | − | 2.88887i | −0.656034 | − | 0.103906i | −0.180461 | − | 0.983582i | \(-0.557759\pi\) |
−0.475573 | + | 0.879676i | \(0.657759\pi\) | |||||||
\(774\) | −0.0968173 | + | 0.0570472i | −0.00348003 | + | 0.00205052i | ||||
\(775\) | 17.5944 | − | 7.50555i | 0.632011 | − | 0.269607i | ||||
\(776\) | 0.825878 | + | 31.0610i | 0.0296473 | + | 1.11502i | ||||
\(777\) | 1.24681 | − | 7.87202i | 0.0447289 | − | 0.282407i | ||||
\(778\) | 17.9458 | − | 28.1776i | 0.643387 | − | 1.01021i | ||||
\(779\) | −0.835480 | + | 2.57134i | −0.0299342 | + | 0.0921279i | ||||
\(780\) | 0.353895 | − | 2.38694i | 0.0126715 | − | 0.0854663i | ||||
\(781\) | 0.617125 | + | 1.89932i | 0.0220825 | + | 0.0679629i | ||||
\(782\) | 34.1504 | + | 8.82700i | 1.22121 | + | 0.315653i | ||||
\(783\) | −22.7301 | − | 11.5816i | −0.812309 | − | 0.413892i | ||||
\(784\) | 3.99041 | + | 0.276883i | 0.142514 | + | 0.00988869i | ||||
\(785\) | −7.25423 | + | 7.93082i | −0.258914 | + | 0.283063i | ||||
\(786\) | −12.7822 | + | 29.4077i | −0.455924 | + | 1.04894i | ||||
\(787\) | −7.24763 | − | 45.7597i | −0.258350 | − | 1.63116i | −0.686273 | − | 0.727344i | \(-0.740755\pi\) |
0.427923 | − | 0.903815i | \(-0.359245\pi\) | |||||||
\(788\) | 36.8369 | + | 13.3963i | 1.31226 | + | 0.477225i | ||||
\(789\) | −33.4252 | − | 46.0059i | −1.18997 | − | 1.63785i | ||||
\(790\) | 20.7166 | − | 2.19894i | 0.737064 | − | 0.0782348i | ||||
\(791\) | 10.2158 | − | 14.0608i | 0.363230 | − | 0.499944i | ||||
\(792\) | 0.113171 | + | 0.0539239i | 0.00402136 | + | 0.00191610i | ||||
\(793\) | 1.39725 | + | 1.39725i | 0.0496179 | + | 0.0496179i | ||||
\(794\) | 13.9909 | − | 15.8181i | 0.496518 | − | 0.561363i | ||||
\(795\) | 9.31081 | + | 6.15073i | 0.330220 | + | 0.218144i | ||||
\(796\) | −35.4171 | + | 33.0447i | −1.25532 | + | 1.17124i | ||||
\(797\) | 2.74858 | + | 5.39439i | 0.0973597 | + | 0.191079i | 0.934549 | − | 0.355833i | \(-0.115803\pi\) |
−0.837190 | + | 0.546913i | \(0.815803\pi\) | |||||||
\(798\) | 0.774703 | + | 1.96593i | 0.0274242 | + | 0.0695930i | ||||
\(799\) | −26.8615 | −0.950292 | ||||||||
\(800\) | 26.1046 | − | 10.8881i | 0.922936 | − | 0.384954i | ||||
\(801\) | 1.00093 | 0.0353660 | ||||||||
\(802\) | −7.06382 | − | 17.9255i | −0.249432 | − | 0.632971i | ||||
\(803\) | −1.45160 | − | 2.84892i | −0.0512257 | − | 0.100536i | ||||
\(804\) | −4.23542 | + | 3.95172i | −0.149372 | + | 0.139367i | ||||
\(805\) | 8.36114 | − | 6.66296i | 0.294691 | − | 0.234839i | ||||
\(806\) | 1.09829 | − | 1.24172i | 0.0386855 | − | 0.0437378i | ||||
\(807\) | 32.2177 | + | 32.2177i | 1.13412 | + | 1.13412i | ||||
\(808\) | 23.6958 | + | 11.2906i | 0.833617 | + | 0.397203i | ||||
\(809\) | 10.7517 | − | 14.7985i | 0.378010 | − | 0.520287i | −0.577046 | − | 0.816712i | \(-0.695795\pi\) |
0.955056 | + | 0.296425i | \(0.0957946\pi\) | |||||||
\(810\) | −21.8187 | + | 19.6863i | −0.766630 | + | 0.691706i | ||||
\(811\) | −20.0640 | − | 27.6157i | −0.704541 | − | 0.969718i | −0.999897 | − | 0.0143306i | \(-0.995438\pi\) |
0.295356 | − | 0.955387i | \(-0.404562\pi\) | |||||||
\(812\) | −9.39263 | − | 3.41578i | −0.329617 | − | 0.119870i | ||||
\(813\) | −8.23318 | − | 51.9822i | −0.288750 | − | 1.82310i | ||||
\(814\) | −1.11874 | + | 2.57386i | −0.0392117 | + | 0.0902139i | ||||
\(815\) | 29.3048 | − | 5.98941i | 1.02650 | − | 0.209800i | ||||
\(816\) | −36.6566 | − | 2.54350i | −1.28324 | − | 0.0890404i | ||||
\(817\) | 0.594282 | + | 0.302802i | 0.0207913 | + | 0.0105937i | ||||
\(818\) | −42.8531 | − | 11.0764i | −1.49832 | − | 0.387278i | ||||
\(819\) | 0.00957095 | + | 0.0294564i | 0.000334436 | + | 0.00102929i | ||||
\(820\) | −14.0523 | + | 2.36834i | −0.490726 | + | 0.0827060i | ||||
\(821\) | −9.98481 | + | 30.7301i | −0.348472 | + | 1.07249i | 0.611227 | + | 0.791456i | \(0.290676\pi\) |
−0.959699 | + | 0.281031i | \(0.909324\pi\) | |||||||
\(822\) | −11.8195 | + | 18.5585i | −0.412254 | + | 0.647300i | ||||
\(823\) | 7.34559 | − | 46.3782i | 0.256051 | − | 1.61664i | −0.439552 | − | 0.898217i | \(-0.644863\pi\) |
0.695603 | − | 0.718427i | \(-0.255137\pi\) | |||||||
\(824\) | 0.259442 | + | 9.75752i | 0.00903809 | + | 0.339919i | ||||
\(825\) | 1.43984 | − | 3.58215i | 0.0501287 | − | 0.124714i | ||||
\(826\) | −13.6425 | + | 8.03851i | −0.474683 | + | 0.279695i | ||||
\(827\) | −31.2300 | − | 4.94635i | −1.08598 | − | 0.172002i | −0.412314 | − | 0.911042i | \(-0.635279\pi\) |
−0.673661 | + | 0.739040i | \(0.735279\pi\) | |||||||
\(828\) | −0.966040 | − | 0.0334752i | −0.0335722 | − | 0.00116334i | ||||
\(829\) | 31.7924 | + | 10.3300i | 1.10420 | + | 0.358775i | 0.803716 | − | 0.595013i | \(-0.202853\pi\) |
0.300480 | + | 0.953788i | \(0.402853\pi\) | |||||||
\(830\) | 0.148162 | − | 2.88383i | 0.00514278 | − | 0.100099i | ||||
\(831\) | −13.9330 | + | 4.52710i | −0.483330 | + | 0.157043i | ||||
\(832\) | 1.63872 | − | 1.82293i | 0.0568123 | − | 0.0631987i | ||||
\(833\) | −2.36824 | + | 4.64793i | −0.0820546 | + | 0.161041i | ||||
\(834\) | −3.62635 | + | 37.7142i | −0.125570 | + | 1.30594i | ||||
\(835\) | −7.75475 | + | 17.0566i | −0.268364 | + | 0.590269i | ||||
\(836\) | −0.0908765 | − | 0.738490i | −0.00314303 | − | 0.0255412i | ||||
\(837\) | −19.2896 | + | 3.05517i | −0.666745 | + | 0.105602i | ||||
\(838\) | 3.07977 | − | 2.53946i | 0.106389 | − | 0.0877242i | ||||
\(839\) | −23.1951 | + | 16.8522i | −0.800783 | + | 0.581803i | −0.911144 | − | 0.412089i | \(-0.864799\pi\) |
0.110361 | + | 0.993892i | \(0.464799\pi\) | |||||||
\(840\) | −7.29594 | + | 8.41503i | −0.251734 | + | 0.290346i | ||||
\(841\) | −3.25851 | − | 2.36744i | −0.112362 | − | 0.0816360i | ||||
\(842\) | 32.5171 | − | 1.99321i | 1.12061 | − | 0.0686906i | ||||
\(843\) | 1.59778 | − | 1.59778i | 0.0550305 | − | 0.0550305i | ||||
\(844\) | −27.4202 | − | 5.32231i | −0.943842 | − | 0.183201i | ||||
\(845\) | 27.0223 | − | 10.1308i | 0.929597 | − | 0.348509i | ||||
\(846\) | 0.718647 | − | 0.159422i | 0.0247076 | − | 0.00548102i | ||||
\(847\) | 9.62977 | − | 4.90661i | 0.330883 | − | 0.168593i | ||||
\(848\) | 4.43475 | + | 10.4320i | 0.152290 | + | 0.358238i | ||||
\(849\) | 26.8692i | 0.922149i | ||||||||
\(850\) | −0.250990 | + | 36.8853i | −0.00860888 | + | 1.26516i | ||||
\(851\) | − | 21.6399i | − | 0.741805i | ||||||
\(852\) | 12.6434 | + | 9.87262i | 0.433155 | + | 0.338230i | ||||
\(853\) | 5.28209 | − | 2.69136i | 0.180855 | − | 0.0921503i | −0.361219 | − | 0.932481i | \(-0.617639\pi\) |
0.542074 | + | 0.840331i | \(0.317639\pi\) | |||||||
\(854\) | −1.97521 | − | 8.90392i | −0.0675901 | − | 0.304686i | ||||
\(855\) | −0.184852 | − | 0.0510861i | −0.00632180 | − | 0.00174711i | ||||
\(856\) | 5.14403 | + | 14.5077i | 0.175819 | + | 0.495863i | ||||
\(857\) | −20.9430 | + | 20.9430i | −0.715400 | + | 0.715400i | −0.967660 | − | 0.252259i | \(-0.918826\pi\) |
0.252259 | + | 0.967660i | \(0.418826\pi\) | |||||||
\(858\) | −0.0204705 | − | 0.333955i | −0.000698853 | − | 0.0114010i | ||||
\(859\) | 9.72882 | + | 7.06840i | 0.331943 | + | 0.241171i | 0.741255 | − | 0.671224i | \(-0.234231\pi\) |
−0.409312 | + | 0.912395i | \(0.634231\pi\) | |||||||
\(860\) | 0.0347644 | + | 3.51532i | 0.00118546 | + | 0.119871i | ||||
\(861\) | 4.53971 | − | 3.29829i | 0.154713 | − | 0.112405i | ||||
\(862\) | −9.26652 | − | 11.2381i | −0.315619 | − | 0.382771i | ||||
\(863\) | −35.7947 | + | 5.66933i | −1.21847 | + | 0.192986i | −0.732362 | − | 0.680915i | \(-0.761582\pi\) |
−0.486104 | + | 0.873901i | \(0.661582\pi\) | |||||||
\(864\) | −28.5579 | + | 4.28761i | −0.971561 | + | 0.145868i | ||||
\(865\) | −42.8347 | − | 4.84162i | −1.45642 | − | 0.164620i | ||||
\(866\) | −38.8157 | − | 3.73227i | −1.31901 | − | 0.126828i | ||||
\(867\) | 8.16406 | − | 16.0229i | 0.277266 | − | 0.544165i | ||||
\(868\) | −7.35441 | + | 2.11098i | −0.249625 | + | 0.0716514i | ||||
\(869\) | 2.74724 | − | 0.892631i | 0.0931936 | − | 0.0302804i | ||||
\(870\) | 23.3231 | − | 15.1803i | 0.790728 | − | 0.514661i | ||||
\(871\) | 0.479281 | + | 0.155728i | 0.0162398 | + | 0.00527663i | ||||
\(872\) | 46.8980 | − | 25.4880i | 1.58817 | − | 0.863133i | ||||
\(873\) | 1.09679 | + | 0.173715i | 0.0371208 | + | 0.00587935i | ||||
\(874\) | 2.91252 | + | 4.94295i | 0.0985173 | + | 0.167198i | ||||
\(875\) | 8.88818 | + | 6.78235i | 0.300475 | + | 0.229285i | ||||
\(876\) | −22.4663 | − | 12.4454i | −0.759066 | − | 0.420491i | ||||
\(877\) | −0.00874458 | + | 0.0552111i | −0.000295283 | + | 0.00186435i | −0.987836 | − | 0.155502i | \(-0.950300\pi\) |
0.987540 | + | 0.157367i | \(0.0503004\pi\) | |||||||
\(878\) | 39.6378 | + | 25.2446i | 1.33771 | + | 0.851963i | ||||
\(879\) | 17.9353 | − | 55.1991i | 0.604942 | − | 1.86182i | ||||
\(880\) | 3.22886 | − | 2.22594i | 0.108845 | − | 0.0750365i | ||||
\(881\) | −10.6941 | − | 32.9130i | −0.360293 | − | 1.10887i | −0.952876 | − | 0.303358i | \(-0.901892\pi\) |
0.592584 | − | 0.805509i | \(-0.298108\pi\) | |||||||
\(882\) | 0.0357742 | − | 0.138405i | 0.00120458 | − | 0.00466035i | ||||
\(883\) | 14.4821 | + | 7.37898i | 0.487360 | + | 0.248323i | 0.680362 | − | 0.732876i | \(-0.261822\pi\) |
−0.193002 | + | 0.981198i | \(0.561822\pi\) | |||||||
\(884\) | 1.35176 | + | 2.89682i | 0.0454645 | + | 0.0974307i | ||||
\(885\) | 4.95190 | − | 43.8104i | 0.166456 | − | 1.47267i | ||||
\(886\) | 8.63843 | + | 3.75472i | 0.290214 | + | 0.126142i | ||||
\(887\) | −2.29563 | − | 14.4941i | −0.0770798 | − | 0.486663i | −0.995785 | − | 0.0917187i | \(-0.970764\pi\) |
0.918705 | − | 0.394944i | \(-0.129236\pi\) | |||||||
\(888\) | 4.11706 | + | 22.1638i | 0.138159 | + | 0.743770i | ||||
\(889\) | −11.1133 | − | 15.2961i | −0.372728 | − | 0.513016i | ||||
\(890\) | 15.6285 | − | 27.1337i | 0.523868 | − | 0.909525i | ||||
\(891\) | −2.39505 | + | 3.29650i | −0.0802371 | + | 0.110437i | ||||
\(892\) | −2.31563 | − | 3.43108i | −0.0775331 | − | 0.114881i | ||||
\(893\) | −3.08942 | − | 3.08942i | −0.103383 | − | 0.103383i | ||||
\(894\) | −18.3390 | − | 16.2206i | −0.613348 | − | 0.542497i | ||||
\(895\) | −2.61222 | + | 9.45218i | −0.0873170 | + | 0.315951i | ||||
\(896\) | −10.8994 | + | 3.03370i | −0.364123 | + | 0.101349i | ||||
\(897\) | 1.17123 | + | 2.29866i | 0.0391061 | + | 0.0767500i | ||||
\(898\) | 43.1835 | − | 17.0171i | 1.44105 | − | 0.567869i | ||||
\(899\) | 19.1178 | 0.637616 | ||||||||
\(900\) | −0.212197 | − | 0.988313i | −0.00707325 | − | 0.0329438i | ||||
\(901\) | −14.7830 | −0.492492 | ||||||||
\(902\) | −1.83832 | + | 0.724419i | −0.0612094 | + | 0.0241205i | ||||
\(903\) | −0.628456 | − | 1.23341i | −0.0209137 | − | 0.0410454i | ||||
\(904\) | −13.9427 | + | 47.1396i | −0.463728 | + | 1.56784i | ||||
\(905\) | 16.6149 | + | 44.3177i | 0.552297 | + | 1.47317i | ||||
\(906\) | 21.5839 | + | 19.0907i | 0.717078 | + | 0.634245i | ||||
\(907\) | −23.2683 | − | 23.2683i | −0.772610 | − | 0.772610i | 0.205952 | − | 0.978562i | \(-0.433971\pi\) |
−0.978562 | + | 0.205952i | \(0.933971\pi\) | |||||||
\(908\) | 21.2345 | − | 14.3312i | 0.704693 | − | 0.475597i | ||||
\(909\) | 0.551385 | − | 0.758916i | 0.0182883 | − | 0.0251717i | ||||
\(910\) | 0.947962 | + | 0.200477i | 0.0314246 | + | 0.00664575i | ||||
\(911\) | 7.56399 | + | 10.4109i | 0.250606 | + | 0.344930i | 0.915723 | − | 0.401809i | \(-0.131618\pi\) |
−0.665117 | + | 0.746739i | \(0.731618\pi\) | |||||||
\(912\) | −3.92345 | − | 4.50852i | −0.129918 | − | 0.149292i | ||||
\(913\) | −0.0626344 | − | 0.395458i | −0.00207290 | − | 0.0130878i | ||||
\(914\) | 27.5949 | + | 11.9942i | 0.912757 | + | 0.396732i | ||||
\(915\) | 23.1174 | + | 10.5103i | 0.764238 | + | 0.347458i | ||||
\(916\) | −3.95470 | + | 1.84540i | −0.130667 | + | 0.0609738i | ||||
\(917\) | −11.4722 | − | 5.84539i | −0.378846 | − | 0.193032i | ||||
\(918\) | 9.42454 | − | 36.4622i | 0.311056 | − | 1.20343i | ||||
\(919\) | 6.41164 | + | 19.7330i | 0.211501 | + | 0.650932i | 0.999384 | + | 0.0351069i | \(0.0111772\pi\) |
−0.787883 | + | 0.615825i | \(0.788823\pi\) | |||||||
\(920\) | −15.9912 | + | 25.6653i | −0.527216 | + | 0.846161i | ||||
\(921\) | −11.9437 | + | 36.7588i | −0.393557 | + | 1.21124i | ||||
\(922\) | −23.5483 | − | 14.9975i | −0.775521 | − | 0.493915i | ||||
\(923\) | 0.218312 | − | 1.37837i | 0.00718582 | − | 0.0453695i | ||||
\(924\) | −0.748317 | + | 1.35085i | −0.0246178 | + | 0.0444399i | ||||
\(925\) | 21.9477 | − | 5.51388i | 0.721637 | − | 0.181295i | ||||
\(926\) | 28.3475 | + | 48.1098i | 0.931558 | + | 1.58099i | ||||
\(927\) | 0.344547 | + | 0.0545709i | 0.0113164 | + | 0.00179234i | ||||
\(928\) | 28.2677 | + | 0.227713i | 0.927931 | + | 0.00747505i | ||||
\(929\) | 20.2881 | + | 6.59201i | 0.665632 | + | 0.216277i | 0.622294 | − | 0.782784i | \(-0.286201\pi\) |
0.0433379 | + | 0.999060i | \(0.486201\pi\) | |||||||
\(930\) | 7.61431 | − | 19.8971i | 0.249683 | − | 0.652451i | ||||
\(931\) | −0.806950 | + | 0.262194i | −0.0264467 | + | 0.00859306i | ||||
\(932\) | −4.63036 | − | 16.1316i | −0.151672 | − | 0.528409i | ||||
\(933\) | 22.3620 | − | 43.8878i | 0.732098 | − | 1.43682i | ||||
\(934\) | −15.1111 | − | 1.45299i | −0.494451 | − | 0.0475432i | ||||
\(935\) | 1.02414 | + | 5.01090i | 0.0334931 | + | 0.163874i | ||||
\(936\) | −0.0533572 | − | 0.0694784i | −0.00174403 | − | 0.00227097i | ||||
\(937\) | 4.57248 | − | 0.724210i | 0.149377 | − | 0.0236589i | −0.0812983 | − | 0.996690i | \(-0.525907\pi\) |
0.230675 | + | 0.973031i | \(0.425907\pi\) | |||||||
\(938\) | −1.47975 | − | 1.79459i | −0.0483155 | − | 0.0585953i | ||||
\(939\) | −6.92758 | + | 5.03318i | −0.226073 | + | 0.164252i | ||||
\(940\) | 6.89928 | − | 21.9708i | 0.225030 | − | 0.716607i | ||||
\(941\) | 15.8053 | + | 11.4832i | 0.515237 | + | 0.374342i | 0.814807 | − | 0.579733i | \(-0.196843\pi\) |
−0.299569 | + | 0.954074i | \(0.596843\pi\) | |||||||
\(942\) | 0.732396 | + | 11.9482i | 0.0238628 | + | 0.389295i | ||||
\(943\) | 10.7732 | − | 10.7732i | 0.350823 | − | 0.350823i | ||||
\(944\) | 28.7701 | − | 34.3243i | 0.936388 | − | 1.11716i | ||||
\(945\) | −7.11401 | − | 8.92715i | −0.231419 | − | 0.290400i | ||||
\(946\) | 0.105566 | + | 0.475875i | 0.00343224 | + | 0.0154720i | ||||
\(947\) | 40.7466 | − | 20.7614i | 1.32409 | − | 0.674656i | 0.358206 | − | 0.933643i | \(-0.383389\pi\) |
0.965881 | + | 0.258987i | \(0.0833886\pi\) | |||||||
\(948\) | 14.2801 | − | 18.2878i | 0.463796 | − | 0.593960i | ||||
\(949\) | 2.23436i | 0.0725304i | ||||||||
\(950\) | −4.27116 | + | 4.21342i | −0.138575 | + | 0.136701i | ||||
\(951\) | − | 0.407806i | − | 0.0132240i | ||||||
\(952\) | 1.91995 | − | 14.6290i | 0.0622261 | − | 0.474129i | ||||
\(953\) | −8.74388 | + | 4.45523i | −0.283242 | + | 0.144319i | −0.589840 | − | 0.807520i | \(-0.700809\pi\) |
0.306598 | + | 0.951839i | \(0.400809\pi\) | |||||||
\(954\) | 0.395500 | − | 0.0877360i | 0.0128048 | − | 0.00284056i | ||||
\(955\) | −0.522292 | + | 0.790632i | −0.0169010 | + | 0.0255842i | ||||
\(956\) | 11.4968 | − | 59.2309i | 0.371833 | − | 1.91566i | ||||
\(957\) | 2.72840 | − | 2.72840i | 0.0881968 | − | 0.0881968i | ||||
\(958\) | 6.03721 | − | 0.370065i | 0.195054 | − | 0.0119563i | ||||
\(959\) | −7.14762 | − | 5.19305i | −0.230809 | − | 0.167692i | ||||
\(960\) | 11.4955 | − | 29.3292i | 0.371017 | − | 0.946595i | ||||
\(961\) | −13.2388 | + | 9.61857i | −0.427059 | + | 0.310276i | ||||
\(962\) | 1.51312 | − | 1.24766i | 0.0487851 | − | 0.0402263i | ||||
\(963\) | 0.543338 | − | 0.0860563i | 0.0175088 | − | 0.00277312i | ||||
\(964\) | 14.7867 | − | 1.81961i | 0.476248 | − | 0.0586057i | ||||
\(965\) | 27.0489 | + | 24.7413i | 0.870735 | + | 0.796451i | ||||
\(966\) | 1.13968 | − | 11.8527i | 0.0366687 | − | 0.381355i | ||||
\(967\) | 21.3160 | − | 41.8349i | 0.685475 | − | 1.34532i | −0.241574 | − | 0.970382i | \(-0.577664\pi\) |
0.927050 | − | 0.374939i | \(-0.122336\pi\) | |||||||
\(968\) | −21.0333 | + | 22.1824i | −0.676037 | + | 0.712969i | ||||
\(969\) | 7.41280 | − | 2.40856i | 0.238133 | − | 0.0773742i | ||||
\(970\) | 21.8345 | − | 27.0201i | 0.701063 | − | 0.867563i | ||||
\(971\) | −45.0877 | − | 14.6499i | −1.44693 | − | 0.470137i | −0.522882 | − | 0.852405i | \(-0.675143\pi\) |
−0.924052 | + | 0.382268i | \(0.875143\pi\) | |||||||
\(972\) | −0.0727289 | + | 2.09884i | −0.00233278 | + | 0.0673203i | ||||
\(973\) | −15.0263 | − | 2.37993i | −0.481720 | − | 0.0762970i | ||||
\(974\) | −42.5378 | + | 25.0644i | −1.36300 | + | 0.803115i | ||||
\(975\) | −2.03293 | + | 1.77359i | −0.0651059 | + | 0.0568003i | ||||
\(976\) | 13.6817 | + | 21.8692i | 0.437941 | + | 0.700015i | ||||
\(977\) | −6.20387 | + | 39.1697i | −0.198479 | + | 1.25315i | 0.664260 | + | 0.747501i | \(0.268747\pi\) |
−0.862740 | + | 0.505648i | \(0.831253\pi\) | |||||||
\(978\) | 17.8952 | − | 28.0982i | 0.572226 | − | 0.898480i | ||||
\(979\) | 1.34166 | − | 4.12920i | 0.0428796 | − | 0.131970i | ||||
\(980\) | −3.19339 | − | 3.13085i | −0.102009 | − | 0.100011i | ||||
\(981\) | −0.589480 | − | 1.81423i | −0.0188206 | − | 0.0579240i | ||||
\(982\) | 45.4493 | + | 11.7475i | 1.45035 | + | 0.374877i | ||||
\(983\) | 7.22924 | + | 3.68348i | 0.230577 | + | 0.117485i | 0.565463 | − | 0.824774i | \(-0.308698\pi\) |
−0.334886 | + | 0.942259i | \(0.608698\pi\) | |||||||
\(984\) | −8.98439 | + | 13.0837i | −0.286412 | + | 0.417092i | ||||
\(985\) | −21.6140 | − | 38.1230i | −0.688678 | − | 1.21470i | ||||
\(986\) | −14.6956 | + | 33.8100i | −0.468004 | + | 1.07673i | ||||
\(987\) | 1.41854 | + | 8.95629i | 0.0451525 | + | 0.285082i | ||||
\(988\) | −0.177702 | + | 0.488642i | −0.00565347 | + | 0.0155458i | ||||
\(989\) | −2.20920 | − | 3.04070i | −0.0702484 | − | 0.0966887i | ||||
\(990\) | −0.0571391 | − | 0.127982i | −0.00181600 | − | 0.00406754i | ||||
\(991\) | −10.2861 | + | 14.1576i | −0.326750 | + | 0.449732i | −0.940513 | − | 0.339758i | \(-0.889655\pi\) |
0.613763 | + | 0.789490i | \(0.289655\pi\) | |||||||
\(992\) | 17.6101 | − | 12.5790i | 0.559123 | − | 0.399385i | ||||
\(993\) | −16.8326 | − | 16.8326i | −0.534168 | − | 0.534168i | ||||
\(994\) | −4.26743 | + | 4.82476i | −0.135355 | + | 0.153032i | ||||
\(995\) | 54.1026 | − | 2.41063i | 1.71517 | − | 0.0764221i | ||||
\(996\) | −2.19401 | − | 2.35152i | −0.0695197 | − | 0.0745107i | ||||
\(997\) | 14.8315 | + | 29.1084i | 0.469718 | + | 0.921873i | 0.997375 | + | 0.0724152i | \(0.0230707\pi\) |
−0.527657 | + | 0.849458i | \(0.676929\pi\) | |||||||
\(998\) | 3.72667 | + | 9.45699i | 0.117966 | + | 0.299356i | ||||
\(999\) | −23.1048 | −0.731003 |
(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 | 700.2.bj.a.323.55 | yes | 720 | |
4.3 | odd | 2 | inner | 700.2.bj.a.323.28 | ✓ | 720 | |
25.12 | odd | 20 | inner | 700.2.bj.a.687.28 | yes | 720 | |
100.87 | even | 20 | inner | 700.2.bj.a.687.55 | yes | 720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
700.2.bj.a.323.28 | ✓ | 720 | 4.3 | odd | 2 | inner | |
700.2.bj.a.323.55 | yes | 720 | 1.1 | even | 1 | trivial | |
700.2.bj.a.687.28 | yes | 720 | 25.12 | odd | 20 | inner | |
700.2.bj.a.687.55 | yes | 720 | 100.87 | even | 20 | inner |