Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,2,Mod(13,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([19, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.r (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: | \(2.79476407074\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 13.19 | ||
Character | \(\chi\) | \(=\) | 350.13 |
Dual form | 350.2.r.a.27.19 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.987688 | − | 0.156434i | 0.698401 | − | 0.110616i | ||||
\(3\) | 1.66180 | + | 0.846728i | 0.959439 | + | 0.488859i | 0.862292 | − | 0.506411i | \(-0.169028\pi\) |
0.0971473 | + | 0.995270i | \(0.469028\pi\) | |||||||
\(4\) | 0.951057 | − | 0.309017i | 0.475528 | − | 0.154508i | ||||
\(5\) | 0.499152 | − | 2.17964i | 0.223228 | − | 0.974766i | ||||
\(6\) | 1.77380 | + | 0.576341i | 0.724149 | + | 0.235290i | ||||
\(7\) | −2.54075 | + | 0.737955i | −0.960314 | + | 0.278921i | ||||
\(8\) | 0.891007 | − | 0.453990i | 0.315018 | − | 0.160510i | ||||
\(9\) | 0.281267 | + | 0.387131i | 0.0937558 | + | 0.129044i | ||||
\(10\) | 0.152036 | − | 2.23089i | 0.0480779 | − | 0.705470i | ||||
\(11\) | 4.96002 | + | 3.60366i | 1.49550 | + | 1.08655i | 0.972130 | + | 0.234441i | \(0.0753258\pi\) |
0.523371 | + | 0.852105i | \(0.324674\pi\) | |||||||
\(12\) | 1.84212 | + | 0.291763i | 0.531773 | + | 0.0842246i | ||||
\(13\) | 0.692430 | − | 4.37183i | 0.192045 | − | 1.21253i | −0.683703 | − | 0.729760i | \(-0.739632\pi\) |
0.875749 | − | 0.482767i | \(-0.160368\pi\) | |||||||
\(14\) | −2.39403 | + | 1.12633i | −0.639831 | + | 0.301025i | ||||
\(15\) | 2.67506 | − | 3.19948i | 0.690697 | − | 0.826102i | ||||
\(16\) | 0.809017 | − | 0.587785i | 0.202254 | − | 0.146946i | ||||
\(17\) | −1.52004 | + | 0.774499i | −0.368664 | + | 0.187844i | −0.628501 | − | 0.777809i | \(-0.716331\pi\) |
0.259837 | + | 0.965652i | \(0.416331\pi\) | |||||||
\(18\) | 0.338365 | + | 0.338365i | 0.0797535 | + | 0.0797535i | ||||
\(19\) | −1.94881 | + | 5.99783i | −0.447089 | + | 1.37600i | 0.433088 | + | 0.901351i | \(0.357424\pi\) |
−0.880177 | + | 0.474646i | \(0.842576\pi\) | |||||||
\(20\) | −0.198825 | − | 2.22721i | −0.0444586 | − | 0.498020i | ||||
\(21\) | −4.84706 | − | 0.924994i | −1.05772 | − | 0.201850i | ||||
\(22\) | 5.46269 | + | 2.78338i | 1.16465 | + | 0.593418i | ||||
\(23\) | 0.284423 | + | 1.79578i | 0.0593063 | + | 0.374445i | 0.999435 | + | 0.0336244i | \(0.0107050\pi\) |
−0.940128 | + | 0.340821i | \(0.889295\pi\) | |||||||
\(24\) | 1.86508 | 0.380708 | ||||||||
\(25\) | −4.50169 | − | 2.17595i | −0.900339 | − | 0.435190i | ||||
\(26\) | − | 4.42632i | − | 0.868074i | ||||||
\(27\) | −0.735674 | − | 4.64486i | −0.141580 | − | 0.893904i | ||||
\(28\) | −2.18836 | + | 1.48697i | −0.413561 | + | 0.281011i | ||||
\(29\) | −8.17286 | + | 2.65552i | −1.51766 | + | 0.493118i | −0.945111 | − | 0.326751i | \(-0.894046\pi\) |
−0.572551 | + | 0.819869i | \(0.694046\pi\) | |||||||
\(30\) | 2.14161 | − | 3.57856i | 0.391003 | − | 0.653353i | ||||
\(31\) | −4.43176 | − | 1.43997i | −0.795968 | − | 0.258626i | −0.117325 | − | 0.993094i | \(-0.537432\pi\) |
−0.678644 | + | 0.734468i | \(0.737432\pi\) | |||||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | 5.19122 | + | 10.1883i | 0.903676 | + | 1.77356i | ||||
\(34\) | −1.38017 | + | 1.00275i | −0.236697 | + | 0.171970i | ||||
\(35\) | 0.340257 | + | 5.90629i | 0.0575139 | + | 0.998345i | ||||
\(36\) | 0.387131 | + | 0.281267i | 0.0645219 | + | 0.0468779i | ||||
\(37\) | −0.563587 | + | 3.55835i | −0.0926531 | + | 0.584989i | 0.897058 | + | 0.441912i | \(0.145700\pi\) |
−0.989712 | + | 0.143077i | \(0.954300\pi\) | |||||||
\(38\) | −0.986553 | + | 6.22885i | −0.160040 | + | 1.01045i | ||||
\(39\) | 4.85243 | − | 6.67880i | 0.777010 | − | 1.06946i | ||||
\(40\) | −0.544789 | − | 2.16869i | −0.0861388 | − | 0.342900i | ||||
\(41\) | 0.248189 | + | 0.341603i | 0.0387606 | + | 0.0533494i | 0.827957 | − | 0.560791i | \(-0.189503\pi\) |
−0.789197 | + | 0.614140i | \(0.789503\pi\) | |||||||
\(42\) | −4.93209 | − | 0.155358i | −0.761038 | − | 0.0239723i | ||||
\(43\) | 0.714628 | + | 0.714628i | 0.108980 | + | 0.108980i | 0.759494 | − | 0.650514i | \(-0.225447\pi\) |
−0.650514 | + | 0.759494i | \(0.725447\pi\) | |||||||
\(44\) | 5.83085 | + | 1.89456i | 0.879034 | + | 0.285615i | ||||
\(45\) | 0.984204 | − | 0.419825i | 0.146716 | − | 0.0625838i | ||||
\(46\) | 0.561843 | + | 1.72917i | 0.0828392 | + | 0.254953i | ||||
\(47\) | 0.635825 | − | 1.24788i | 0.0927446 | − | 0.182022i | −0.839974 | − | 0.542627i | \(-0.817430\pi\) |
0.932719 | + | 0.360605i | \(0.117430\pi\) | |||||||
\(48\) | 1.84212 | − | 0.291763i | 0.265887 | − | 0.0421123i | ||||
\(49\) | 5.91084 | − | 3.74992i | 0.844406 | − | 0.535703i | ||||
\(50\) | −4.78666 | − | 1.44494i | −0.676936 | − | 0.204345i | ||||
\(51\) | −3.18179 | −0.445540 | ||||||||
\(52\) | −0.692430 | − | 4.37183i | −0.0960227 | − | 0.606264i | ||||
\(53\) | 4.87664 | − | 9.57095i | 0.669858 | − | 1.31467i | −0.266571 | − | 0.963815i | \(-0.585891\pi\) |
0.936429 | − | 0.350856i | \(-0.114109\pi\) | |||||||
\(54\) | −1.45323 | − | 4.47259i | −0.197760 | − | 0.608642i | ||||
\(55\) | 10.3305 | − | 9.01229i | 1.39297 | − | 1.21522i | ||||
\(56\) | −1.92880 | + | 1.81100i | −0.257747 | + | 0.242005i | ||||
\(57\) | −8.31707 | + | 8.31707i | −1.10162 | + | 1.10162i | ||||
\(58\) | −7.65682 | + | 3.90135i | −1.00539 | + | 0.512272i | ||||
\(59\) | −10.6106 | + | 7.70902i | −1.38138 | + | 1.00363i | −0.384627 | + | 0.923072i | \(0.625670\pi\) |
−0.996750 | + | 0.0805574i | \(0.974330\pi\) | |||||||
\(60\) | 1.55544 | − | 3.86952i | 0.200806 | − | 0.499554i | ||||
\(61\) | 0.203989 | − | 0.280767i | 0.0261181 | − | 0.0359485i | −0.795758 | − | 0.605614i | \(-0.792927\pi\) |
0.821876 | + | 0.569666i | \(0.192927\pi\) | |||||||
\(62\) | −4.60246 | − | 0.728958i | −0.584513 | − | 0.0925778i | ||||
\(63\) | −1.00032 | − | 0.776042i | −0.126028 | − | 0.0977721i | ||||
\(64\) | 0.587785 | − | 0.809017i | 0.0734732 | − | 0.101127i | ||||
\(65\) | −9.18340 | − | 3.69146i | −1.13906 | − | 0.457869i | ||||
\(66\) | 6.72112 | + | 9.25083i | 0.827312 | + | 1.13870i | ||||
\(67\) | 0.457649 | + | 0.898186i | 0.0559107 | + | 0.109731i | 0.917271 | − | 0.398264i | \(-0.130387\pi\) |
−0.861360 | + | 0.507994i | \(0.830387\pi\) | |||||||
\(68\) | −1.20631 | + | 1.20631i | −0.146287 | + | 0.146287i | ||||
\(69\) | −1.04788 | + | 3.22505i | −0.126150 | + | 0.388250i | ||||
\(70\) | 1.26001 | + | 5.78034i | 0.150601 | + | 0.690883i | ||||
\(71\) | −2.47077 | − | 7.60425i | −0.293227 | − | 0.902459i | −0.983811 | − | 0.179207i | \(-0.942647\pi\) |
0.690585 | − | 0.723251i | \(-0.257353\pi\) | |||||||
\(72\) | 0.426365 | + | 0.217244i | 0.0502476 | + | 0.0256024i | ||||
\(73\) | 11.7002 | − | 1.85313i | 1.36940 | − | 0.216892i | 0.571957 | − | 0.820284i | \(-0.306184\pi\) |
0.797445 | + | 0.603392i | \(0.206184\pi\) | |||||||
\(74\) | 3.60270i | 0.418806i | ||||||||
\(75\) | −5.63847 | − | 7.42770i | −0.651074 | − | 0.857677i | ||||
\(76\) | 6.30649i | 0.723405i | ||||||||
\(77\) | −15.2615 | − | 5.49575i | −1.73921 | − | 0.626298i | ||||
\(78\) | 3.74789 | − | 7.35566i | 0.424365 | − | 0.832864i | ||||
\(79\) | 2.27511 | − | 0.739227i | 0.255969 | − | 0.0831695i | −0.178221 | − | 0.983990i | \(-0.557034\pi\) |
0.434191 | + | 0.900821i | \(0.357034\pi\) | |||||||
\(80\) | −0.877340 | − | 2.05676i | −0.0980895 | − | 0.229953i | ||||
\(81\) | 3.15401 | − | 9.70703i | 0.350445 | − | 1.07856i | ||||
\(82\) | 0.298572 | + | 0.298572i | 0.0329717 | + | 0.0329717i | ||||
\(83\) | 3.48589 | + | 6.84144i | 0.382626 | + | 0.750945i | 0.999343 | − | 0.0362394i | \(-0.0115379\pi\) |
−0.616717 | + | 0.787185i | \(0.711538\pi\) | |||||||
\(84\) | −4.89567 | + | 0.618103i | −0.534161 | + | 0.0674406i | ||||
\(85\) | 0.929401 | + | 3.69974i | 0.100808 | + | 0.401293i | ||||
\(86\) | 0.817623 | + | 0.594038i | 0.0881665 | + | 0.0640567i | ||||
\(87\) | −15.8301 | − | 2.50725i | −1.69717 | − | 0.268805i | ||||
\(88\) | 6.05544 | + | 0.959087i | 0.645512 | + | 0.102239i | ||||
\(89\) | −2.13410 | − | 1.55051i | −0.226214 | − | 0.164354i | 0.468905 | − | 0.883248i | \(-0.344648\pi\) |
−0.695119 | + | 0.718894i | \(0.744648\pi\) | |||||||
\(90\) | 0.906412 | − | 0.568620i | 0.0955442 | − | 0.0599378i | ||||
\(91\) | 1.46692 | + | 11.6187i | 0.153775 | + | 1.21797i | ||||
\(92\) | 0.825428 | + | 1.61999i | 0.0860568 | + | 0.168896i | ||||
\(93\) | −6.14543 | − | 6.14543i | −0.637252 | − | 0.637252i | ||||
\(94\) | 0.432786 | − | 1.33198i | 0.0446385 | − | 0.137383i | ||||
\(95\) | 12.1004 | + | 7.24155i | 1.24147 | + | 0.742968i | ||||
\(96\) | 1.77380 | − | 0.576341i | 0.181037 | − | 0.0588226i | ||||
\(97\) | −2.22965 | + | 4.37593i | −0.226386 | + | 0.444308i | −0.976061 | − | 0.217499i | \(-0.930210\pi\) |
0.749674 | + | 0.661807i | \(0.230210\pi\) | |||||||
\(98\) | 5.25145 | − | 4.62841i | 0.530477 | − | 0.467541i | ||||
\(99\) | 2.93377i | 0.294855i | ||||||||
\(100\) | −4.95377 | − | 0.678351i | −0.495377 | − | 0.0678351i | ||||
\(101\) | 8.14490i | 0.810448i | 0.914218 | + | 0.405224i | \(0.132806\pi\) | ||||
−0.914218 | + | 0.405224i | \(0.867194\pi\) | |||||||
\(102\) | −3.14262 | + | 0.497742i | −0.311165 | + | 0.0492838i | ||||
\(103\) | −1.83160 | − | 0.933247i | −0.180473 | − | 0.0919555i | 0.361420 | − | 0.932403i | \(-0.382292\pi\) |
−0.541893 | + | 0.840448i | \(0.682292\pi\) | |||||||
\(104\) | −1.36781 | − | 4.20968i | −0.134125 | − | 0.412793i | ||||
\(105\) | −4.43558 | + | 10.1032i | −0.432869 | + | 0.985967i | ||||
\(106\) | 3.31938 | − | 10.2160i | 0.322406 | − | 0.992265i | ||||
\(107\) | 10.6342 | − | 10.6342i | 1.02805 | − | 1.02805i | 0.0284554 | − | 0.999595i | \(-0.490941\pi\) |
0.999595 | − | 0.0284554i | \(-0.00905885\pi\) | |||||||
\(108\) | −2.13501 | − | 4.19019i | −0.205441 | − | 0.403201i | ||||
\(109\) | 9.24081 | + | 12.7189i | 0.885109 | + | 1.21825i | 0.974979 | + | 0.222295i | \(0.0713548\pi\) |
−0.0898702 | + | 0.995953i | \(0.528645\pi\) | |||||||
\(110\) | 8.79349 | − | 10.5174i | 0.838426 | − | 1.00279i | ||||
\(111\) | −3.94952 | + | 5.43605i | −0.374872 | + | 0.515967i | ||||
\(112\) | −1.62175 | + | 2.09044i | −0.153241 | + | 0.197528i | ||||
\(113\) | 3.38646 | + | 0.536363i | 0.318571 | + | 0.0504568i | 0.313672 | − | 0.949531i | \(-0.398441\pi\) |
0.00489896 | + | 0.999988i | \(0.498441\pi\) | |||||||
\(114\) | −6.91360 | + | 9.51575i | −0.647518 | + | 0.891232i | ||||
\(115\) | 4.05612 | + | 0.276425i | 0.378235 | + | 0.0257768i | ||||
\(116\) | −6.95225 | + | 5.05110i | −0.645500 | + | 0.468983i | ||||
\(117\) | 1.88723 | − | 0.961592i | 0.174474 | − | 0.0888992i | ||||
\(118\) | −9.27397 | + | 9.27397i | −0.853738 | + | 0.853738i | ||||
\(119\) | 3.29050 | − | 3.08953i | 0.301640 | − | 0.283217i | ||||
\(120\) | 0.930959 | − | 4.06521i | 0.0849845 | − | 0.371101i | ||||
\(121\) | 8.21619 | + | 25.2868i | 0.746927 | + | 2.29880i | ||||
\(122\) | 0.157556 | − | 0.309221i | 0.0142645 | − | 0.0279956i | ||||
\(123\) | 0.123195 | + | 0.777823i | 0.0111081 | + | 0.0701340i | ||||
\(124\) | −4.65983 | −0.418465 | ||||||||
\(125\) | −6.98983 | + | 8.72596i | −0.625189 | + | 0.780473i | ||||
\(126\) | −1.10940 | − | 0.610004i | −0.0988333 | − | 0.0543435i | ||||
\(127\) | −4.24777 | + | 0.672781i | −0.376929 | + | 0.0596997i | −0.342025 | − | 0.939691i | \(-0.611113\pi\) |
−0.0349042 | + | 0.999391i | \(0.511113\pi\) | |||||||
\(128\) | 0.453990 | − | 0.891007i | 0.0401275 | − | 0.0787546i | ||||
\(129\) | 0.582472 | + | 1.79266i | 0.0512838 | + | 0.157835i | ||||
\(130\) | −9.64781 | − | 2.20941i | −0.846169 | − | 0.193778i | ||||
\(131\) | −13.5124 | − | 4.39044i | −1.18058 | − | 0.383594i | −0.347999 | − | 0.937495i | \(-0.613139\pi\) |
−0.832583 | + | 0.553900i | \(0.813139\pi\) | |||||||
\(132\) | 8.08552 | + | 8.08552i | 0.703754 | + | 0.703754i | ||||
\(133\) | 0.525321 | − | 16.6771i | 0.0455511 | − | 1.44609i | ||||
\(134\) | 0.592522 | + | 0.815536i | 0.0511861 | + | 0.0704516i | ||||
\(135\) | −10.4914 | − | 0.714987i | −0.902952 | − | 0.0615363i | ||||
\(136\) | −1.00275 | + | 1.38017i | −0.0859852 | + | 0.118348i | ||||
\(137\) | 3.37772 | − | 21.3261i | 0.288578 | − | 1.82201i | −0.237287 | − | 0.971440i | \(-0.576258\pi\) |
0.525864 | − | 0.850568i | \(-0.323742\pi\) | |||||||
\(138\) | −0.530472 | + | 3.34927i | −0.0451567 | + | 0.285108i | ||||
\(139\) | −7.33490 | − | 5.32912i | −0.622138 | − | 0.452010i | 0.231530 | − | 0.972828i | \(-0.425627\pi\) |
−0.853668 | + | 0.520818i | \(0.825627\pi\) | |||||||
\(140\) | 2.14875 | + | 5.51207i | 0.181602 | + | 0.465855i | ||||
\(141\) | 2.11323 | − | 1.53535i | 0.177966 | − | 0.129300i | ||||
\(142\) | −3.62992 | − | 7.12412i | −0.304616 | − | 0.597843i | ||||
\(143\) | 19.1891 | − | 19.1891i | 1.60467 | − | 1.60467i | ||||
\(144\) | 0.455100 | + | 0.147871i | 0.0379250 | + | 0.0123226i | ||||
\(145\) | 1.70859 | + | 19.1394i | 0.141891 | + | 1.58944i | ||||
\(146\) | 11.2662 | − | 3.66062i | 0.932400 | − | 0.302955i | ||||
\(147\) | 12.9978 | − | 1.22673i | 1.07204 | − | 0.101179i | ||||
\(148\) | 0.563587 | + | 3.55835i | 0.0463266 | + | 0.292494i | ||||
\(149\) | − | 3.35094i | − | 0.274520i | −0.990535 | − | 0.137260i | \(-0.956170\pi\) | ||
0.990535 | − | 0.137260i | \(-0.0438296\pi\) | |||||||
\(150\) | −6.73100 | − | 6.45420i | −0.549584 | − | 0.526983i | ||||
\(151\) | 12.6061 | 1.02587 | 0.512937 | − | 0.858426i | \(-0.328558\pi\) | ||||
0.512937 | + | 0.858426i | \(0.328558\pi\) | |||||||
\(152\) | 0.986553 | + | 6.22885i | 0.0800200 | + | 0.505227i | ||||
\(153\) | −0.727371 | − | 0.370614i | −0.0588044 | − | 0.0299624i | ||||
\(154\) | −15.9333 | − | 3.04066i | −1.28395 | − | 0.245023i | ||||
\(155\) | −5.35074 | + | 8.94090i | −0.429782 | + | 0.718151i | ||||
\(156\) | 2.55107 | − | 7.85139i | 0.204249 | − | 0.628615i | ||||
\(157\) | −8.44248 | − | 8.44248i | −0.673783 | − | 0.673783i | 0.284803 | − | 0.958586i | \(-0.408072\pi\) |
−0.958586 | + | 0.284803i | \(0.908072\pi\) | |||||||
\(158\) | 2.13145 | − | 1.08603i | 0.169569 | − | 0.0863999i | ||||
\(159\) | 16.2080 | − | 11.7758i | 1.28538 | − | 0.933881i | ||||
\(160\) | −1.18829 | − | 1.89419i | −0.0939423 | − | 0.149749i | ||||
\(161\) | −2.04785 | − | 4.35273i | −0.161393 | − | 0.343043i | ||||
\(162\) | 1.59666 | − | 10.0809i | 0.125446 | − | 0.792032i | ||||
\(163\) | 0.119618 | + | 0.0189456i | 0.00936918 | + | 0.00148393i | 0.161117 | − | 0.986935i | \(-0.448490\pi\) |
−0.151748 | + | 0.988419i | \(0.548490\pi\) | |||||||
\(164\) | 0.341603 | + | 0.248189i | 0.0266747 | + | 0.0193803i | ||||
\(165\) | 24.7982 | − | 6.22948i | 1.93054 | − | 0.484964i | ||||
\(166\) | 4.51321 | + | 6.21189i | 0.350293 | + | 0.482137i | ||||
\(167\) | 19.2061 | − | 9.78600i | 1.48621 | − | 0.757264i | 0.492617 | − | 0.870246i | \(-0.336040\pi\) |
0.993597 | + | 0.112983i | \(0.0360405\pi\) | |||||||
\(168\) | −4.73870 | + | 1.37635i | −0.365599 | + | 0.106187i | ||||
\(169\) | −6.26969 | − | 2.03715i | −0.482284 | − | 0.156704i | ||||
\(170\) | 1.49672 | + | 3.50880i | 0.114794 | + | 0.269113i | ||||
\(171\) | −2.87009 | + | 0.932548i | −0.219481 | + | 0.0713137i | ||||
\(172\) | 0.900484 | + | 0.458820i | 0.0686613 | + | 0.0349847i | ||||
\(173\) | −7.65324 | + | 1.21215i | −0.581865 | + | 0.0921584i | −0.440426 | − | 0.897789i | \(-0.645173\pi\) |
−0.141438 | + | 0.989947i | \(0.545173\pi\) | |||||||
\(174\) | −16.0275 | −1.21504 | ||||||||
\(175\) | 13.0434 | + | 2.20650i | 0.985991 | + | 0.166796i | ||||
\(176\) | 6.13092 | 0.462135 | ||||||||
\(177\) | −24.1601 | + | 3.82658i | −1.81598 | + | 0.287623i | ||||
\(178\) | −2.35038 | − | 1.19758i | −0.176168 | − | 0.0897622i | ||||
\(179\) | 15.1862 | − | 4.93429i | 1.13507 | − | 0.368806i | 0.319568 | − | 0.947563i | \(-0.396462\pi\) |
0.815500 | + | 0.578758i | \(0.196462\pi\) | |||||||
\(180\) | 0.806300 | − | 0.703413i | 0.0600981 | − | 0.0524293i | ||||
\(181\) | 18.2862 | + | 5.94155i | 1.35920 | + | 0.441632i | 0.895777 | − | 0.444504i | \(-0.146620\pi\) |
0.463426 | + | 0.886136i | \(0.346620\pi\) | |||||||
\(182\) | 3.26643 | + | 11.2462i | 0.242124 | + | 0.833623i | ||||
\(183\) | 0.576722 | − | 0.293855i | 0.0426325 | − | 0.0217224i | ||||
\(184\) | 1.06869 | + | 1.47092i | 0.0787847 | + | 0.108438i | ||||
\(185\) | 7.47461 | + | 3.00458i | 0.549545 | + | 0.220901i | ||||
\(186\) | −7.03113 | − | 5.10842i | −0.515548 | − | 0.374567i | ||||
\(187\) | −10.3305 | − | 1.63618i | −0.755438 | − | 0.119650i | ||||
\(188\) | 0.219090 | − | 1.38328i | 0.0159788 | − | 0.100886i | ||||
\(189\) | 5.29686 | + | 11.2585i | 0.385290 | + | 0.818939i | ||||
\(190\) | 13.0842 | + | 5.25948i | 0.949230 | + | 0.381563i | ||||
\(191\) | −17.7163 | + | 12.8716i | −1.28190 | + | 0.931358i | −0.999609 | − | 0.0279693i | \(-0.991096\pi\) |
−0.282296 | + | 0.959327i | \(0.591096\pi\) | |||||||
\(192\) | 1.66180 | − | 0.846728i | 0.119930 | − | 0.0611073i | ||||
\(193\) | −4.47070 | − | 4.47070i | −0.321808 | − | 0.321808i | 0.527652 | − | 0.849460i | \(-0.323072\pi\) |
−0.849460 | + | 0.527652i | \(0.823072\pi\) | |||||||
\(194\) | −1.51765 | + | 4.67085i | −0.108961 | + | 0.335347i | ||||
\(195\) | −12.1353 | − | 13.9103i | −0.869026 | − | 0.996138i | ||||
\(196\) | 4.46276 | − | 5.39294i | 0.318768 | − | 0.385210i | ||||
\(197\) | 5.39775 | + | 2.75029i | 0.384573 | + | 0.195950i | 0.635579 | − | 0.772036i | \(-0.280761\pi\) |
−0.251006 | + | 0.967986i | \(0.580761\pi\) | |||||||
\(198\) | 0.458943 | + | 2.89765i | 0.0326157 | + | 0.205927i | ||||
\(199\) | 23.9275 | 1.69618 | 0.848089 | − | 0.529853i | \(-0.177753\pi\) | ||||
0.848089 | + | 0.529853i | \(0.177753\pi\) | |||||||
\(200\) | −4.99890 | + | 0.104941i | −0.353476 | + | 0.00742047i | ||||
\(201\) | 1.88011i | 0.132613i | ||||||||
\(202\) | 1.27414 | + | 8.04462i | 0.0896484 | + | 0.566018i | ||||
\(203\) | 18.8056 | − | 12.7782i | 1.31989 | − | 0.896856i | ||||
\(204\) | −3.02606 | + | 0.983227i | −0.211867 | + | 0.0688397i | ||||
\(205\) | 0.868456 | − | 0.370452i | 0.0606556 | − | 0.0258735i | ||||
\(206\) | −1.95504 | − | 0.635231i | −0.136214 | − | 0.0442587i | ||||
\(207\) | −0.615203 | + | 0.615203i | −0.0427595 | + | 0.0427595i | ||||
\(208\) | −2.00951 | − | 3.94388i | −0.139334 | − | 0.273459i | ||||
\(209\) | −31.2803 | + | 22.7265i | −2.16371 | + | 1.57202i | ||||
\(210\) | −2.80049 | + | 10.6727i | −0.193252 | + | 0.736483i | ||||
\(211\) | 7.12534 | + | 5.17687i | 0.490529 | + | 0.356390i | 0.805388 | − | 0.592748i | \(-0.201957\pi\) |
−0.314859 | + | 0.949139i | \(0.601957\pi\) | |||||||
\(212\) | 1.68038 | − | 10.6095i | 0.115409 | − | 0.728662i | ||||
\(213\) | 2.33281 | − | 14.7288i | 0.159842 | − | 1.00920i | ||||
\(214\) | 8.83975 | − | 12.1669i | 0.604273 | − | 0.831710i | ||||
\(215\) | 1.91434 | − | 1.20093i | 0.130557 | − | 0.0819025i | ||||
\(216\) | −2.76421 | − | 3.80461i | −0.188081 | − | 0.258871i | ||||
\(217\) | 12.3226 | + | 0.388157i | 0.836516 | + | 0.0263498i | ||||
\(218\) | 11.1167 | + | 11.1167i | 0.752919 | + | 0.752919i | ||||
\(219\) | 21.0124 | + | 6.82735i | 1.41989 | + | 0.461350i | ||||
\(220\) | 7.03994 | − | 11.7635i | 0.474633 | − | 0.793095i | ||||
\(221\) | 2.33346 | + | 7.18164i | 0.156965 | + | 0.483090i | ||||
\(222\) | −3.05051 | + | 5.98696i | −0.204737 | + | 0.401819i | ||||
\(223\) | −4.10776 | + | 0.650605i | −0.275076 | + | 0.0435678i | −0.292448 | − | 0.956281i | \(-0.594470\pi\) |
0.0173723 | + | 0.999849i | \(0.494470\pi\) | |||||||
\(224\) | −1.27477 | + | 2.31840i | −0.0851742 | + | 0.154904i | ||||
\(225\) | −0.423802 | − | 2.35477i | −0.0282534 | − | 0.156985i | ||||
\(226\) | 3.42867 | 0.228072 | ||||||||
\(227\) | 0.0954184 | + | 0.602448i | 0.00633314 | + | 0.0399859i | 0.990653 | − | 0.136409i | \(-0.0435563\pi\) |
−0.984319 | + | 0.176395i | \(0.943556\pi\) | |||||||
\(228\) | −5.33989 | + | 10.4801i | −0.353643 | + | 0.694063i | ||||
\(229\) | −4.69597 | − | 14.4527i | −0.310318 | − | 0.955061i | −0.977639 | − | 0.210291i | \(-0.932559\pi\) |
0.667321 | − | 0.744770i | \(-0.267441\pi\) | |||||||
\(230\) | 4.04943 | − | 0.361495i | 0.267011 | − | 0.0238363i | ||||
\(231\) | −20.7082 | − | 22.0552i | −1.36250 | − | 1.45112i | ||||
\(232\) | −6.07649 | + | 6.07649i | −0.398941 | + | 0.398941i | ||||
\(233\) | −19.5303 | + | 9.95120i | −1.27947 | + | 0.651925i | −0.955737 | − | 0.294223i | \(-0.904939\pi\) |
−0.323737 | + | 0.946147i | \(0.604939\pi\) | |||||||
\(234\) | 1.71357 | − | 1.24498i | 0.112020 | − | 0.0813869i | ||||
\(235\) | −2.40255 | − | 2.00875i | −0.156725 | − | 0.131037i | ||||
\(236\) | −7.70902 | + | 10.6106i | −0.501815 | + | 0.690689i | ||||
\(237\) | 4.40669 | + | 0.697951i | 0.286245 | + | 0.0453368i | ||||
\(238\) | 2.76668 | − | 3.56624i | 0.179337 | − | 0.231165i | ||||
\(239\) | 5.97166 | − | 8.21928i | 0.386274 | − | 0.531661i | −0.570959 | − | 0.820979i | \(-0.693428\pi\) |
0.957233 | + | 0.289318i | \(0.0934284\pi\) | |||||||
\(240\) | 0.283559 | − | 4.16079i | 0.0183036 | − | 0.268578i | ||||
\(241\) | 2.20037 | + | 3.02855i | 0.141738 | + | 0.195086i | 0.873984 | − | 0.485954i | \(-0.161528\pi\) |
−0.732246 | + | 0.681040i | \(0.761528\pi\) | |||||||
\(242\) | 12.0708 | + | 23.6902i | 0.775939 | + | 1.52287i | ||||
\(243\) | 3.48448 | − | 3.48448i | 0.223530 | − | 0.223530i | ||||
\(244\) | 0.107243 | − | 0.330061i | 0.00686556 | − | 0.0211300i | ||||
\(245\) | −5.22308 | − | 14.7553i | −0.333691 | − | 0.942683i | ||||
\(246\) | 0.243357 | + | 0.748975i | 0.0155159 | + | 0.0477529i | ||||
\(247\) | 24.8721 | + | 12.6730i | 1.58257 | + | 0.806361i | ||||
\(248\) | −4.60246 | + | 0.728958i | −0.292257 | + | 0.0462889i | ||||
\(249\) | 14.3207i | 0.907536i | ||||||||
\(250\) | −5.53873 | + | 9.71198i | −0.350300 | + | 0.614239i | ||||
\(251\) | − | 14.9758i | − | 0.945262i | −0.881260 | − | 0.472631i | \(-0.843304\pi\) | ||
0.881260 | − | 0.472631i | \(-0.156696\pi\) | |||||||
\(252\) | −1.19117 | − | 0.428945i | −0.0750365 | − | 0.0270210i | ||||
\(253\) | −5.06063 | + | 9.93205i | −0.318159 | + | 0.624422i | ||||
\(254\) | −4.09023 | + | 1.32900i | −0.256644 | + | 0.0833886i | ||||
\(255\) | −1.58820 | + | 6.93517i | −0.0994568 | + | 0.434297i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 6.37903 | + | 6.37903i | 0.397913 | + | 0.397913i | 0.877496 | − | 0.479583i | \(-0.159212\pi\) |
−0.479583 | + | 0.877496i | \(0.659212\pi\) | |||||||
\(258\) | 0.855735 | + | 1.67947i | 0.0532757 | + | 0.104560i | ||||
\(259\) | −1.19397 | − | 9.45678i | −0.0741895 | − | 0.587616i | ||||
\(260\) | −9.87466 | − | 0.672959i | −0.612400 | − | 0.0417352i | ||||
\(261\) | −3.32680 | − | 2.41706i | −0.205923 | − | 0.149612i | ||||
\(262\) | −14.0328 | − | 2.22258i | −0.866952 | − | 0.137312i | ||||
\(263\) | −18.5311 | − | 2.93504i | −1.14268 | − | 0.180982i | −0.443734 | − | 0.896159i | \(-0.646346\pi\) |
−0.698944 | + | 0.715176i | \(0.746346\pi\) | |||||||
\(264\) | 9.25083 | + | 6.72112i | 0.569349 | + | 0.413656i | ||||
\(265\) | −18.4271 | − | 15.4067i | −1.13197 | − | 0.946426i | ||||
\(266\) | −2.09003 | − | 16.5540i | −0.128148 | − | 1.01499i | ||||
\(267\) | −2.23358 | − | 4.38364i | −0.136693 | − | 0.268274i | ||||
\(268\) | 0.712805 | + | 0.712805i | 0.0435415 | + | 0.0435415i | ||||
\(269\) | −3.33497 | + | 10.2640i | −0.203337 | + | 0.625806i | 0.796441 | + | 0.604716i | \(0.206714\pi\) |
−0.999778 | + | 0.0210896i | \(0.993286\pi\) | |||||||
\(270\) | −10.4740 | + | 0.935025i | −0.637430 | + | 0.0569038i | ||||
\(271\) | 5.93627 | − | 1.92881i | 0.360603 | − | 0.117167i | −0.123112 | − | 0.992393i | \(-0.539287\pi\) |
0.483714 | + | 0.875226i | \(0.339287\pi\) | |||||||
\(272\) | −0.774499 | + | 1.52004i | −0.0469609 | + | 0.0921660i | ||||
\(273\) | −7.40017 | + | 20.5500i | −0.447879 | + | 1.24374i | ||||
\(274\) | − | 21.5919i | − | 1.30441i | ||||||
\(275\) | −14.4871 | − | 27.0153i | −0.873604 | − | 1.62909i | ||||
\(276\) | 3.39101i | 0.204115i | ||||||||
\(277\) | 5.65608 | − | 0.895835i | 0.339841 | − | 0.0538255i | 0.0158183 | − | 0.999875i | \(-0.494965\pi\) |
0.324022 | + | 0.946049i | \(0.394965\pi\) | |||||||
\(278\) | −8.07825 | − | 4.11607i | −0.484501 | − | 0.246866i | ||||
\(279\) | −0.689054 | − | 2.12069i | −0.0412526 | − | 0.126962i | ||||
\(280\) | 2.98457 | + | 5.10807i | 0.178362 | + | 0.305265i | ||||
\(281\) | 3.13542 | − | 9.64984i | 0.187044 | − | 0.575661i | −0.812934 | − | 0.582356i | \(-0.802131\pi\) |
0.999978 | + | 0.00669464i | \(0.00213099\pi\) | |||||||
\(282\) | 1.84703 | − | 1.84703i | 0.109989 | − | 0.109989i | ||||
\(283\) | 10.4151 | + | 20.4407i | 0.619112 | + | 1.21508i | 0.961315 | + | 0.275450i | \(0.0888269\pi\) |
−0.342203 | + | 0.939626i | \(0.611173\pi\) | |||||||
\(284\) | −4.69969 | − | 6.46856i | −0.278875 | − | 0.383839i | ||||
\(285\) | 13.9768 | + | 22.2797i | 0.827912 | + | 1.31974i | ||||
\(286\) | 15.9510 | − | 21.9546i | 0.943201 | − | 1.29821i | ||||
\(287\) | −0.882674 | − | 0.684776i | −0.0521026 | − | 0.0404210i | ||||
\(288\) | 0.472629 | + | 0.0748571i | 0.0278500 | + | 0.00441100i | ||||
\(289\) | −8.28168 | + | 11.3987i | −0.487157 | + | 0.670515i | ||||
\(290\) | 4.68162 | + | 18.6365i | 0.274914 | + | 1.09437i | ||||
\(291\) | −7.41044 | + | 5.38400i | −0.434408 | + | 0.315616i | ||||
\(292\) | 10.5549 | − | 5.37798i | 0.617678 | − | 0.314723i | ||||
\(293\) | −11.7397 | + | 11.7397i | −0.685838 | + | 0.685838i | −0.961309 | − | 0.275471i | \(-0.911166\pi\) |
0.275471 | + | 0.961309i | \(0.411166\pi\) | |||||||
\(294\) | 12.6459 | − | 3.24493i | 0.737522 | − | 0.189248i | ||||
\(295\) | 11.5066 | + | 26.9752i | 0.669942 | + | 1.57056i | ||||
\(296\) | 1.11330 | + | 3.42637i | 0.0647090 | + | 0.199154i | ||||
\(297\) | 13.0896 | − | 25.6897i | 0.759533 | − | 1.49067i | ||||
\(298\) | −0.524203 | − | 3.30969i | −0.0303663 | − | 0.191725i | ||||
\(299\) | 8.04777 | 0.465415 | ||||||||
\(300\) | −7.65779 | − | 5.32178i | −0.442122 | − | 0.307253i | ||||
\(301\) | −2.34306 | − | 1.28833i | −0.135052 | − | 0.0742581i | ||||
\(302\) | 12.4509 | − | 1.97204i | 0.716471 | − | 0.113478i | ||||
\(303\) | −6.89652 | + | 13.5352i | −0.396194 | + | 0.777575i | ||||
\(304\) | 1.94881 | + | 5.99783i | 0.111772 | + | 0.343999i | ||||
\(305\) | −0.510150 | − | 0.584769i | −0.0292111 | − | 0.0334838i | ||||
\(306\) | −0.776392 | − | 0.252265i | −0.0443834 | − | 0.0144210i | ||||
\(307\) | 11.9796 | + | 11.9796i | 0.683711 | + | 0.683711i | 0.960834 | − | 0.277123i | \(-0.0893811\pi\) |
−0.277123 | + | 0.960834i | \(0.589381\pi\) | |||||||
\(308\) | −16.2128 | − | 0.510696i | −0.923813 | − | 0.0290996i | ||||
\(309\) | −2.25354 | − | 3.10173i | −0.128200 | − | 0.176451i | ||||
\(310\) | −3.88620 | + | 9.66787i | −0.220721 | + | 0.549098i | ||||
\(311\) | −9.79100 | + | 13.4762i | −0.555196 | + | 0.764162i | −0.990706 | − | 0.136022i | \(-0.956568\pi\) |
0.435509 | + | 0.900184i | \(0.356568\pi\) | |||||||
\(312\) | 1.29144 | − | 8.15381i | 0.0731132 | − | 0.461618i | ||||
\(313\) | 1.64667 | − | 10.3967i | 0.0930754 | − | 0.587655i | −0.896433 | − | 0.443179i | \(-0.853851\pi\) |
0.989508 | − | 0.144475i | \(-0.0461495\pi\) | |||||||
\(314\) | −9.65923 | − | 7.01784i | −0.545102 | − | 0.396040i | ||||
\(315\) | −2.19081 | + | 1.79297i | −0.123438 | + | 0.101022i | ||||
\(316\) | 1.93532 | − | 1.40609i | 0.108870 | − | 0.0790989i | ||||
\(317\) | −9.22405 | − | 18.1032i | −0.518074 | − | 1.01678i | −0.990770 | − | 0.135553i | \(-0.956719\pi\) |
0.472696 | − | 0.881226i | \(-0.343281\pi\) | |||||||
\(318\) | 14.1663 | − | 14.1663i | 0.794407 | − | 0.794407i | ||||
\(319\) | −50.1071 | − | 16.2808i | −2.80546 | − | 0.911549i | ||||
\(320\) | −1.46997 | − | 1.68499i | −0.0821741 | − | 0.0941935i | ||||
\(321\) | 26.6763 | − | 8.66764i | 1.48892 | − | 0.483781i | ||||
\(322\) | −2.70356 | − | 3.97879i | −0.150663 | − | 0.221729i | ||||
\(323\) | −1.68304 | − | 10.6263i | −0.0936469 | − | 0.591263i | ||||
\(324\) | − | 10.2066i | − | 0.567032i | ||||||
\(325\) | −12.6300 | + | 18.1739i | −0.700585 | + | 1.00811i | ||||
\(326\) | 0.121109 | 0.00670759 | ||||||||
\(327\) | 4.58692 | + | 28.9607i | 0.253657 | + | 1.60153i | ||||
\(328\) | 0.376222 | + | 0.191695i | 0.0207734 | + | 0.0105846i | ||||
\(329\) | −0.694597 | + | 3.63976i | −0.0382943 | + | 0.200666i | ||||
\(330\) | 23.5184 | − | 10.0321i | 1.29464 | − | 0.552247i | ||||
\(331\) | 2.85199 | − | 8.77753i | 0.156760 | − | 0.482457i | −0.841575 | − | 0.540140i | \(-0.818371\pi\) |
0.998335 | + | 0.0576832i | \(0.0183713\pi\) | |||||||
\(332\) | 5.42940 | + | 5.42940i | 0.297977 | + | 0.297977i | ||||
\(333\) | −1.53607 | + | 0.782665i | −0.0841759 | + | 0.0428898i | ||||
\(334\) | 17.4388 | − | 12.6700i | 0.954208 | − | 0.693273i | ||||
\(335\) | 2.18616 | − | 0.549179i | 0.119443 | − | 0.0300049i | ||||
\(336\) | −4.46506 | + | 2.10070i | −0.243589 | + | 0.114602i | ||||
\(337\) | 0.660276 | − | 4.16882i | 0.0359675 | − | 0.227090i | −0.963156 | − | 0.268942i | \(-0.913326\pi\) |
0.999124 | + | 0.0418524i | \(0.0133259\pi\) | |||||||
\(338\) | −6.51118 | − | 1.03127i | −0.354162 | − | 0.0560937i | ||||
\(339\) | 5.17346 | + | 3.75874i | 0.280984 | + | 0.204147i | ||||
\(340\) | 2.02719 | + | 3.23146i | 0.109940 | + | 0.175251i | ||||
\(341\) | −16.7925 | − | 23.1128i | −0.909363 | − | 1.25163i | ||||
\(342\) | −2.68887 | + | 1.37005i | −0.145397 | + | 0.0740837i | ||||
\(343\) | −12.2507 | + | 13.8896i | −0.661476 | + | 0.749966i | ||||
\(344\) | 0.961173 | + | 0.312304i | 0.0518230 | + | 0.0168383i | ||||
\(345\) | 6.50640 | + | 3.89380i | 0.350293 | + | 0.209635i | ||||
\(346\) | −7.36939 | + | 2.39446i | −0.396181 | + | 0.128727i | ||||
\(347\) | 11.8280 | + | 6.02666i | 0.634960 | + | 0.323528i | 0.741673 | − | 0.670762i | \(-0.234033\pi\) |
−0.106713 | + | 0.994290i | \(0.534033\pi\) | |||||||
\(348\) | −15.8301 | + | 2.50725i | −0.848585 | + | 0.134403i | ||||
\(349\) | 17.7099 | 0.947991 | 0.473996 | − | 0.880527i | \(-0.342811\pi\) | ||||
0.473996 | + | 0.880527i | \(0.342811\pi\) | |||||||
\(350\) | 13.2280 | + | 0.138890i | 0.707068 | + | 0.00742398i | ||||
\(351\) | −20.8159 | −1.11107 | ||||||||
\(352\) | 6.05544 | − | 0.959087i | 0.322756 | − | 0.0511195i | ||||
\(353\) | −31.7514 | − | 16.1782i | −1.68996 | − | 0.861076i | −0.989008 | − | 0.147865i | \(-0.952760\pi\) |
−0.700949 | − | 0.713211i | \(-0.747240\pi\) | |||||||
\(354\) | −23.2640 | + | 7.55893i | −1.23647 | + | 0.401753i | ||||
\(355\) | −17.8079 | + | 1.58972i | −0.945143 | + | 0.0843736i | ||||
\(356\) | −2.50878 | − | 0.815153i | −0.132965 | − | 0.0432030i | ||||
\(357\) | 8.08414 | − | 2.34802i | 0.427858 | − | 0.124270i | ||||
\(358\) | 14.2273 | − | 7.24918i | 0.751937 | − | 0.383131i | ||||
\(359\) | −16.1766 | − | 22.2652i | −0.853768 | − | 1.17511i | −0.983020 | − | 0.183499i | \(-0.941258\pi\) |
0.129252 | − | 0.991612i | \(-0.458742\pi\) | |||||||
\(360\) | 0.686335 | − | 0.820886i | 0.0361731 | − | 0.0432645i | ||||
\(361\) | −16.8048 | − | 12.2094i | −0.884463 | − | 0.642600i | ||||
\(362\) | 18.9905 | + | 3.00780i | 0.998120 | + | 0.158087i | ||||
\(363\) | −7.75743 | + | 48.9785i | −0.407160 | + | 2.57070i | ||||
\(364\) | 4.98551 | + | 10.5968i | 0.261312 | + | 0.555421i | ||||
\(365\) | 1.80102 | − | 26.4272i | 0.0942696 | − | 1.38326i | ||||
\(366\) | 0.523653 | − | 0.380456i | 0.0273718 | − | 0.0198867i | ||||
\(367\) | −30.9022 | + | 15.7455i | −1.61308 | + | 0.821907i | −0.613604 | + | 0.789614i | \(0.710281\pi\) |
−0.999478 | + | 0.0322928i | \(0.989719\pi\) | |||||||
\(368\) | 1.28563 | + | 1.28563i | 0.0670183 | + | 0.0670183i | ||||
\(369\) | −0.0624377 | + | 0.192163i | −0.00325038 | + | 0.0100036i | ||||
\(370\) | 7.85261 | + | 1.79830i | 0.408238 | + | 0.0934891i | ||||
\(371\) | −5.32741 | + | 27.9162i | −0.276585 | + | 1.44933i | ||||
\(372\) | −7.74370 | − | 3.94561i | −0.401492 | − | 0.204570i | ||||
\(373\) | 0.0783049 | + | 0.494398i | 0.00405447 | + | 0.0255989i | 0.989633 | − | 0.143622i | \(-0.0458749\pi\) |
−0.985578 | + | 0.169221i | \(0.945875\pi\) | |||||||
\(374\) | −10.4592 | −0.540834 | ||||||||
\(375\) | −19.0042 | + | 8.58229i | −0.981372 | + | 0.443188i | ||||
\(376\) | − | 1.40052i | − | 0.0722266i | ||||||
\(377\) | 5.95036 | + | 37.5691i | 0.306459 | + | 1.93491i | ||||
\(378\) | 6.99287 | + | 10.2913i | 0.359675 | + | 0.529328i | ||||
\(379\) | −5.90413 | + | 1.91837i | −0.303275 | + | 0.0985400i | −0.456701 | − | 0.889620i | \(-0.650969\pi\) |
0.153426 | + | 0.988160i | \(0.450969\pi\) | |||||||
\(380\) | 13.7459 | + | 3.14790i | 0.705150 | + | 0.161484i | ||||
\(381\) | −7.62860 | − | 2.47868i | −0.390825 | − | 0.126987i | ||||
\(382\) | −15.4846 | + | 15.4846i | −0.792261 | + | 0.792261i | ||||
\(383\) | −0.615146 | − | 1.20729i | −0.0314325 | − | 0.0616898i | 0.874756 | − | 0.484563i | \(-0.161021\pi\) |
−0.906189 | + | 0.422873i | \(0.861021\pi\) | |||||||
\(384\) | 1.50888 | − | 1.09627i | 0.0769998 | − | 0.0559436i | ||||
\(385\) | −19.5966 | + | 30.5215i | −0.998735 | + | 1.55552i | ||||
\(386\) | −5.11503 | − | 3.71629i | −0.260348 | − | 0.189154i | ||||
\(387\) | −0.0756534 | + | 0.477657i | −0.00384568 | + | 0.0242807i | ||||
\(388\) | −0.768284 | + | 4.85075i | −0.0390037 | + | 0.246260i | ||||
\(389\) | −1.72881 | + | 2.37950i | −0.0876541 | + | 0.120645i | −0.850592 | − | 0.525826i | \(-0.823756\pi\) |
0.762938 | + | 0.646472i | \(0.223756\pi\) | |||||||
\(390\) | −14.1619 | − | 11.8407i | −0.717118 | − | 0.599575i | ||||
\(391\) | −1.82316 | − | 2.50937i | −0.0922013 | − | 0.126904i | ||||
\(392\) | 3.56417 | − | 6.02467i | 0.180018 | − | 0.304292i | ||||
\(393\) | −18.7373 | − | 18.7373i | −0.945174 | − | 0.945174i | ||||
\(394\) | 5.76153 | + | 1.87203i | 0.290262 | + | 0.0943117i | ||||
\(395\) | −0.475626 | − | 5.32791i | −0.0239313 | − | 0.268076i | ||||
\(396\) | 0.906585 | + | 2.79018i | 0.0455576 | + | 0.140212i | ||||
\(397\) | 11.2318 | − | 22.0437i | 0.563709 | − | 1.10634i | −0.416640 | − | 0.909072i | \(-0.636792\pi\) |
0.980349 | − | 0.197270i | \(-0.0632076\pi\) | |||||||
\(398\) | 23.6330 | − | 3.74309i | 1.18461 | − | 0.187624i | ||||
\(399\) | 14.9940 | − | 27.2692i | 0.750638 | − | 1.36517i | ||||
\(400\) | −4.92094 | + | 0.885649i | −0.246047 | + | 0.0442825i | ||||
\(401\) | −9.79598 | −0.489188 | −0.244594 | − | 0.969626i | \(-0.578655\pi\) | ||||
−0.244594 | + | 0.969626i | \(0.578655\pi\) | |||||||
\(402\) | 0.294114 | + | 1.85696i | 0.0146691 | + | 0.0926168i | ||||
\(403\) | −9.36398 | + | 18.3778i | −0.466453 | + | 0.915465i | ||||
\(404\) | 2.51691 | + | 7.74626i | 0.125221 | + | 0.385391i | ||||
\(405\) | −19.5835 | − | 11.7199i | −0.973114 | − | 0.582367i | ||||
\(406\) | 16.5751 | − | 15.5627i | 0.822607 | − | 0.772366i | ||||
\(407\) | −15.6185 | + | 15.6185i | −0.774180 | + | 0.774180i | ||||
\(408\) | −2.83500 | + | 1.44450i | −0.140353 | + | 0.0715135i | ||||
\(409\) | 22.1737 | − | 16.1101i | 1.09642 | − | 0.796593i | 0.115945 | − | 0.993256i | \(-0.463010\pi\) |
0.980471 | + | 0.196662i | \(0.0630102\pi\) | |||||||
\(410\) | 0.799813 | − | 0.501747i | 0.0394999 | − | 0.0247795i | ||||
\(411\) | 23.6705 | − | 32.5796i | 1.16758 | − | 1.60703i | ||||
\(412\) | −2.03034 | − | 0.321575i | −0.100028 | − | 0.0158429i | ||||
\(413\) | 21.2699 | − | 27.4168i | 1.04662 | − | 1.34909i | ||||
\(414\) | −0.511389 | + | 0.703867i | −0.0251334 | + | 0.0345932i | ||||
\(415\) | 16.6519 | − | 4.18307i | 0.817409 | − | 0.205339i | ||||
\(416\) | −2.60173 | − | 3.58097i | −0.127560 | − | 0.175572i | ||||
\(417\) | −7.67680 | − | 15.0666i | −0.375935 | − | 0.737813i | ||||
\(418\) | −27.3400 | + | 27.3400i | −1.33724 | + | 1.33724i | ||||
\(419\) | 7.43017 | − | 22.8677i | 0.362988 | − | 1.11716i | −0.588244 | − | 0.808684i | \(-0.700181\pi\) |
0.951232 | − | 0.308478i | \(-0.0998195\pi\) | |||||||
\(420\) | −1.09644 | + | 10.9793i | −0.0535009 | + | 0.535737i | ||||
\(421\) | 4.02786 | + | 12.3965i | 0.196306 | + | 0.604167i | 0.999959 | + | 0.00906922i | \(0.00288686\pi\) |
−0.803653 | + | 0.595098i | \(0.797113\pi\) | |||||||
\(422\) | 7.84746 | + | 3.99848i | 0.382008 | + | 0.194643i | ||||
\(423\) | 0.661929 | − | 0.104839i | 0.0321841 | − | 0.00509746i | ||||
\(424\) | − | 10.7417i | − | 0.521664i | ||||||
\(425\) | 8.52803 | − | 0.179028i | 0.413670 | − | 0.00868412i | ||||
\(426\) | − | 14.9124i | − | 0.722508i | ||||||
\(427\) | −0.311092 | + | 0.863894i | −0.0150548 | + | 0.0418068i | ||||
\(428\) | 6.82760 | − | 13.3999i | 0.330025 | − | 0.647710i | ||||
\(429\) | 48.1363 | − | 15.6404i | 2.32404 | − | 0.755127i | ||||
\(430\) | 1.70291 | − | 1.48561i | 0.0821216 | − | 0.0716425i | ||||
\(431\) | −2.78822 | + | 8.58125i | −0.134304 | + | 0.413344i | −0.995481 | − | 0.0949603i | \(-0.969728\pi\) |
0.861177 | + | 0.508305i | \(0.169728\pi\) | |||||||
\(432\) | −3.32535 | − | 3.32535i | −0.159991 | − | 0.159991i | ||||
\(433\) | −5.56256 | − | 10.9171i | −0.267319 | − | 0.524644i | 0.717856 | − | 0.696191i | \(-0.245123\pi\) |
−0.985176 | + | 0.171547i | \(0.945123\pi\) | |||||||
\(434\) | 12.2317 | − | 1.54431i | 0.587138 | − | 0.0741292i | ||||
\(435\) | −13.3666 | + | 33.2526i | −0.640878 | + | 1.59434i | ||||
\(436\) | 12.7189 | + | 9.24081i | 0.609124 | + | 0.442555i | ||||
\(437\) | −11.3251 | − | 1.79371i | −0.541751 | − | 0.0858049i | ||||
\(438\) | 21.8218 | + | 3.45623i | 1.04268 | + | 0.165145i | ||||
\(439\) | −22.0087 | − | 15.9903i | −1.05042 | − | 0.763175i | −0.0781278 | − | 0.996943i | \(-0.524894\pi\) |
−0.972292 | + | 0.233768i | \(0.924894\pi\) | |||||||
\(440\) | 5.11305 | − | 12.7200i | 0.243755 | − | 0.606400i | ||||
\(441\) | 3.11424 | + | 1.23354i | 0.148297 | + | 0.0587401i | ||||
\(442\) | 3.42818 | + | 6.72819i | 0.163062 | + | 0.320027i | ||||
\(443\) | 1.77414 | + | 1.77414i | 0.0842921 | + | 0.0842921i | 0.747996 | − | 0.663704i | \(-0.231016\pi\) |
−0.663704 | + | 0.747996i | \(0.731016\pi\) | |||||||
\(444\) | −2.07639 | + | 6.39046i | −0.0985409 | + | 0.303278i | ||||
\(445\) | −4.44480 | + | 3.87763i | −0.210704 | + | 0.183817i | ||||
\(446\) | −3.95541 | + | 1.28519i | −0.187294 | + | 0.0608555i | ||||
\(447\) | 2.83734 | − | 5.56859i | 0.134201 | − | 0.263385i | ||||
\(448\) | −0.896398 | + | 2.48927i | −0.0423508 | + | 0.117607i | ||||
\(449\) | 24.0657i | 1.13573i | 0.823122 | + | 0.567865i | \(0.192230\pi\) | ||||
−0.823122 | + | 0.567865i | \(0.807770\pi\) | |||||||
\(450\) | −0.786951 | − | 2.25948i | −0.0370972 | − | 0.106513i | ||||
\(451\) | 2.58874i | 0.121899i | ||||||||
\(452\) | 3.38646 | − | 0.536363i | 0.159286 | − | 0.0252284i | ||||
\(453\) | 20.9489 | + | 10.6740i | 0.984263 | + | 0.501507i | ||||
\(454\) | 0.188487 | + | 0.580104i | 0.00884615 | + | 0.0272256i | ||||
\(455\) | 26.0569 | + | 2.60214i | 1.22157 | + | 0.121990i | ||||
\(456\) | −3.63469 | + | 11.1864i | −0.170210 | + | 0.523853i | ||||
\(457\) | −6.97210 | + | 6.97210i | −0.326141 | + | 0.326141i | −0.851117 | − | 0.524976i | \(-0.824074\pi\) |
0.524976 | + | 0.851117i | \(0.324074\pi\) | |||||||
\(458\) | −6.89905 | − | 13.5401i | −0.322371 | − | 0.632690i | ||||
\(459\) | 4.71569 | + | 6.49060i | 0.220110 | + | 0.302955i | ||||
\(460\) | 3.94302 | − | 0.990515i | 0.183844 | − | 0.0461830i | ||||
\(461\) | 7.59138 | − | 10.4486i | 0.353566 | − | 0.486642i | −0.594776 | − | 0.803891i | \(-0.702759\pi\) |
0.948342 | + | 0.317250i | \(0.102759\pi\) | |||||||
\(462\) | −23.9034 | − | 18.5442i | −1.11209 | − | 0.862753i | ||||
\(463\) | 10.8637 | + | 1.72063i | 0.504877 | + | 0.0799647i | 0.403677 | − | 0.914901i | \(-0.367732\pi\) |
0.101200 | + | 0.994866i | \(0.467732\pi\) | |||||||
\(464\) | −5.05110 | + | 6.95225i | −0.234492 | + | 0.322750i | ||||
\(465\) | −16.4624 | + | 10.3273i | −0.763424 | + | 0.478919i | ||||
\(466\) | −17.7332 | + | 12.8839i | −0.821473 | + | 0.596835i | ||||
\(467\) | −35.5703 | + | 18.1240i | −1.64600 | + | 0.838677i | −0.649037 | + | 0.760757i | \(0.724828\pi\) |
−0.996960 | + | 0.0779201i | \(0.975172\pi\) | |||||||
\(468\) | 1.49771 | − | 1.49771i | 0.0692319 | − | 0.0692319i | ||||
\(469\) | −1.82559 | − | 1.94434i | −0.0842981 | − | 0.0897815i | ||||
\(470\) | −2.68721 | − | 1.60818i | −0.123952 | − | 0.0741798i | ||||
\(471\) | −6.88120 | − | 21.1782i | −0.317069 | − | 0.975839i | ||||
\(472\) | −5.95426 | + | 11.6859i | −0.274067 | + | 0.537886i | ||||
\(473\) | 0.969289 | + | 6.11985i | 0.0445680 | + | 0.281391i | ||||
\(474\) | 4.46162 | 0.204929 | ||||||||
\(475\) | 21.8239 | − | 22.7599i | 1.00135 | − | 1.04430i | ||||
\(476\) | 2.17473 | − | 3.95514i | 0.0996788 | − | 0.181284i | ||||
\(477\) | 5.07686 | − | 0.804095i | 0.232453 | − | 0.0368170i | ||||
\(478\) | 4.61236 | − | 9.05226i | 0.210964 | − | 0.414041i | ||||
\(479\) | 12.3260 | + | 37.9355i | 0.563189 | + | 1.73332i | 0.673272 | + | 0.739395i | \(0.264888\pi\) |
−0.110083 | + | 0.993922i | \(0.535112\pi\) | |||||||
\(480\) | −0.370824 | − | 4.15393i | −0.0169257 | − | 0.189600i | ||||
\(481\) | 15.1662 | + | 4.92781i | 0.691521 | + | 0.224689i | ||||
\(482\) | 2.64705 | + | 2.64705i | 0.120570 | + | 0.120570i | ||||
\(483\) | 0.282466 | − | 8.96733i | 0.0128527 | − | 0.408028i | ||||
\(484\) | 15.6281 | + | 21.5103i | 0.710370 | + | 0.977740i | ||||
\(485\) | 8.42503 | + | 7.04409i | 0.382561 | + | 0.319856i | ||||
\(486\) | 2.89649 | − | 3.98668i | 0.131387 | − | 0.180839i | ||||
\(487\) | 2.62512 | − | 16.5744i | 0.118956 | − | 0.751056i | −0.854036 | − | 0.520214i | \(-0.825852\pi\) |
0.972991 | − | 0.230842i | \(-0.0741479\pi\) | |||||||
\(488\) | 0.0542901 | − | 0.342774i | 0.00245760 | − | 0.0155167i | ||||
\(489\) | 0.182739 | + | 0.132767i | 0.00826372 | + | 0.00600395i | ||||
\(490\) | −7.46702 | − | 13.7566i | −0.337326 | − | 0.621459i | ||||
\(491\) | −24.7943 | + | 18.0141i | −1.11895 | + | 0.812967i | −0.984050 | − | 0.177892i | \(-0.943072\pi\) |
−0.134903 | + | 0.990859i | \(0.543072\pi\) | |||||||
\(492\) | 0.357526 | + | 0.701684i | 0.0161185 | + | 0.0316344i | ||||
\(493\) | 10.3664 | − | 10.3664i | 0.466878 | − | 0.466878i | ||||
\(494\) | 26.5484 | + | 8.62608i | 1.19447 | + | 0.388106i | ||||
\(495\) | 6.39458 | + | 1.46440i | 0.287415 | + | 0.0658199i | ||||
\(496\) | −4.43176 | + | 1.43997i | −0.198992 | + | 0.0646564i | ||||
\(497\) | 11.8892 | + | 17.4972i | 0.533304 | + | 0.784857i | ||||
\(498\) | 2.24025 | + | 14.1444i | 0.100388 | + | 0.633824i | ||||
\(499\) | 11.4072i | 0.510657i | 0.966854 | + | 0.255328i | \(0.0821836\pi\) | ||||
−0.966854 | + | 0.255328i | \(0.917816\pi\) | |||||||
\(500\) | −3.95125 | + | 10.4589i | −0.176705 | + | 0.467734i | ||||
\(501\) | 40.2028 | 1.79613 | ||||||||
\(502\) | −2.34273 | − | 14.7914i | −0.104561 | − | 0.660172i | ||||
\(503\) | −15.3344 | − | 7.81329i | −0.683729 | − | 0.348377i | 0.0773798 | − | 0.997002i | \(-0.475345\pi\) |
−0.761109 | + | 0.648624i | \(0.775345\pi\) | |||||||
\(504\) | −1.24360 | − | 0.237324i | −0.0553945 | − | 0.0105713i | ||||
\(505\) | 17.7530 | + | 4.06555i | 0.789997 | + | 0.180914i | ||||
\(506\) | −3.44461 | + | 10.6014i | −0.153132 | + | 0.471291i | ||||
\(507\) | −8.69405 | − | 8.69405i | −0.386116 | − | 0.386116i | ||||
\(508\) | −3.83197 | + | 1.95249i | −0.170016 | + | 0.0866276i | ||||
\(509\) | −4.87441 | + | 3.54146i | −0.216054 | + | 0.156973i | −0.690549 | − | 0.723286i | \(-0.742631\pi\) |
0.474494 | + | 0.880258i | \(0.342631\pi\) | |||||||
\(510\) | −0.483746 | + | 7.09823i | −0.0214206 | + | 0.314315i | ||||
\(511\) | −28.3597 | + | 13.3425i | −1.25456 | + | 0.590239i | ||||
\(512\) | 0.156434 | − | 0.987688i | 0.00691349 | − | 0.0436501i | ||||
\(513\) | 29.2928 | + | 4.63952i | 1.29331 | + | 0.204840i | ||||
\(514\) | 7.29839 | + | 5.30259i | 0.321918 | + | 0.233887i | ||||
\(515\) | −2.94839 | + | 3.52640i | −0.129922 | + | 0.155392i | ||||
\(516\) | 1.10793 | + | 1.52493i | 0.0487738 | + | 0.0671314i | ||||
\(517\) | 7.65063 | − | 3.89819i | 0.336474 | − | 0.171442i | ||||
\(518\) | −2.65863 | − | 9.15358i | −0.116814 | − | 0.402185i | ||||
\(519\) | −13.7445 | − | 4.46586i | −0.603317 | − | 0.196029i | ||||
\(520\) | −9.85836 | + | 0.880063i | −0.432318 | + | 0.0385933i | ||||
\(521\) | 8.06292 | − | 2.61980i | 0.353243 | − | 0.114776i | −0.127020 | − | 0.991900i | \(-0.540541\pi\) |
0.480263 | + | 0.877125i | \(0.340541\pi\) | |||||||
\(522\) | −3.66395 | − | 1.86687i | −0.160367 | − | 0.0817109i | ||||
\(523\) | −1.67206 | + | 0.264828i | −0.0731140 | + | 0.0115801i | −0.192884 | − | 0.981222i | \(-0.561784\pi\) |
0.119770 | + | 0.992802i | \(0.461784\pi\) | |||||||
\(524\) | −14.2078 | −0.620669 | ||||||||
\(525\) | 19.8073 | + | 14.7110i | 0.864460 | + | 0.642041i | ||||
\(526\) | −18.7621 | −0.818067 | ||||||||
\(527\) | 7.85171 | − | 1.24359i | 0.342026 | − | 0.0541716i | ||||
\(528\) | 10.1883 | + | 5.19122i | 0.443391 | + | 0.225919i | ||||
\(529\) | 18.7304 | − | 6.08587i | 0.814364 | − | 0.264603i | ||||
\(530\) | −20.6103 | − | 12.3344i | −0.895256 | − | 0.535772i | ||||
\(531\) | −5.96881 | − | 1.93938i | −0.259024 | − | 0.0841621i | ||||
\(532\) | −4.65391 | − | 16.0232i | −0.201773 | − | 0.694696i | ||||
\(533\) | 1.66528 | − | 0.848503i | 0.0721314 | − | 0.0367528i | ||||
\(534\) | −2.89183 | − | 3.98026i | −0.125142 | − | 0.172243i | ||||
\(535\) | −17.8707 | − | 28.4870i | −0.772620 | − | 1.23160i | ||||
\(536\) | 0.815536 | + | 0.592522i | 0.0352258 | + | 0.0255930i | ||||
\(537\) | 29.4143 | + | 4.65877i | 1.26932 | + | 0.201041i | ||||
\(538\) | −1.68827 | + | 10.6593i | −0.0727865 | + | 0.459556i | ||||
\(539\) | 42.8313 | + | 2.70101i | 1.84488 | + | 0.116341i | ||||
\(540\) | −10.1988 | + | 2.56201i | −0.438887 | + | 0.110251i | ||||
\(541\) | 8.34102 | − | 6.06011i | 0.358609 | − | 0.260544i | −0.393863 | − | 0.919169i | \(-0.628862\pi\) |
0.752471 | + | 0.658625i | \(0.228862\pi\) | |||||||
\(542\) | 5.56145 | − | 2.83370i | 0.238885 | − | 0.121718i | ||||
\(543\) | 25.3571 | + | 25.3571i | 1.08818 | + | 1.08818i | ||||
\(544\) | −0.527177 | + | 1.62248i | −0.0226025 | + | 0.0695634i | ||||
\(545\) | 32.3352 | − | 13.7930i | 1.38509 | − | 0.590828i | ||||
\(546\) | −4.09432 | + | 21.4547i | −0.175221 | + | 0.918175i | ||||
\(547\) | 4.29719 | + | 2.18953i | 0.183735 | + | 0.0936175i | 0.543438 | − | 0.839449i | \(-0.317122\pi\) |
−0.359704 | + | 0.933067i | \(0.617122\pi\) | |||||||
\(548\) | −3.37772 | − | 21.3261i | −0.144289 | − | 0.911004i | ||||
\(549\) | 0.166069 | 0.00708766 | ||||||||
\(550\) | −18.5349 | − | 24.4165i | −0.790329 | − | 1.04112i | ||||
\(551\) | − | 54.1946i | − | 2.30877i | ||||||
\(552\) | 0.530472 | + | 3.34927i | 0.0225784 | + | 0.142554i | ||||
\(553\) | −5.23496 | + | 3.55712i | −0.222613 | + | 0.151264i | ||||
\(554\) | 5.44630 | − | 1.76961i | 0.231391 | − | 0.0751836i | ||||
\(555\) | 9.87724 | + | 11.3220i | 0.419265 | + | 0.480591i | ||||
\(556\) | −8.62269 | − | 2.80168i | −0.365683 | − | 0.118818i | ||||
\(557\) | −0.352800 | + | 0.352800i | −0.0149486 | + | 0.0149486i | −0.714542 | − | 0.699593i | \(-0.753365\pi\) |
0.699593 | + | 0.714542i | \(0.253365\pi\) | |||||||
\(558\) | −1.01232 | − | 1.98679i | −0.0428549 | − | 0.0841075i | ||||
\(559\) | 3.61906 | − | 2.62940i | 0.153070 | − | 0.111212i | ||||
\(560\) | 3.74690 | + | 4.57829i | 0.158336 | + | 0.193468i | ||||
\(561\) | −15.7817 | − | 11.4661i | −0.666305 | − | 0.484099i | ||||
\(562\) | 1.58725 | − | 10.0215i | 0.0669543 | − | 0.422733i | ||||
\(563\) | 2.39584 | − | 15.1267i | 0.100973 | − | 0.637516i | −0.884351 | − | 0.466822i | \(-0.845399\pi\) |
0.985324 | − | 0.170694i | \(-0.0546010\pi\) | |||||||
\(564\) | 1.53535 | − | 2.11323i | 0.0646498 | − | 0.0889828i | ||||
\(565\) | 2.85944 | − | 7.11355i | 0.120298 | − | 0.299269i | ||||
\(566\) | 13.4845 | + | 18.5598i | 0.566795 | + | 0.780127i | ||||
\(567\) | −0.850193 | + | 26.9907i | −0.0357047 | + | 1.13350i | ||||
\(568\) | −5.65373 | − | 5.65373i | −0.237225 | − | 0.237225i | ||||
\(569\) | −22.8803 | − | 7.43428i | −0.959194 | − | 0.311661i | −0.212748 | − | 0.977107i | \(-0.568241\pi\) |
−0.746446 | + | 0.665446i | \(0.768241\pi\) | |||||||
\(570\) | 17.2900 | + | 19.8190i | 0.724199 | + | 0.830126i | ||||
\(571\) | −8.97857 | − | 27.6332i | −0.375742 | − | 1.15641i | −0.942977 | − | 0.332858i | \(-0.891987\pi\) |
0.567235 | − | 0.823556i | \(-0.308013\pi\) | |||||||
\(572\) | 12.3201 | − | 24.1796i | 0.515131 | − | 1.01100i | ||||
\(573\) | −40.3396 | + | 6.38917i | −1.68521 | + | 0.266911i | ||||
\(574\) | −0.978929 | − | 0.538264i | −0.0408597 | − | 0.0224667i | ||||
\(575\) | 2.62713 | − | 8.70293i | 0.109559 | − | 0.362937i | ||||
\(576\) | 0.478521 | 0.0199384 | ||||||||
\(577\) | −1.62615 | − | 10.2671i | −0.0676974 | − | 0.427424i | −0.998139 | − | 0.0609836i | \(-0.980576\pi\) |
0.930441 | − | 0.366441i | \(-0.119424\pi\) | |||||||
\(578\) | −6.39656 | + | 12.5540i | −0.266062 | + | 0.522176i | ||||
\(579\) | −3.64393 | − | 11.2149i | −0.151437 | − | 0.466074i | ||||
\(580\) | 7.53938 | + | 17.6747i | 0.313056 | + | 0.733902i | ||||
\(581\) | −13.9054 | − | 14.8100i | −0.576895 | − | 0.614421i | ||||
\(582\) | −6.47696 | + | 6.47696i | −0.268479 | + | 0.268479i | ||||
\(583\) | 58.6787 | − | 29.8983i | 2.43022 | − | 1.23826i | ||||
\(584\) | 9.58363 | − | 6.96292i | 0.396573 | − | 0.288128i | ||||
\(585\) | −1.15391 | − | 4.59347i | −0.0477084 | − | 0.189917i | ||||
\(586\) | −9.75863 | + | 13.4316i | −0.403125 | + | 0.554855i | ||||
\(587\) | 15.4093 | + | 2.44059i | 0.636009 | + | 0.100734i | 0.466109 | − | 0.884727i | \(-0.345656\pi\) |
0.169900 | + | 0.985461i | \(0.445656\pi\) | |||||||
\(588\) | 11.9826 | − | 5.18323i | 0.494152 | − | 0.213753i | ||||
\(589\) | 17.2734 | − | 23.7748i | 0.711737 | − | 0.979622i | ||||
\(590\) | 15.5848 | + | 24.8431i | 0.641617 | + | 1.02277i | ||||
\(591\) | 6.64121 | + | 9.14085i | 0.273183 | + | 0.376004i | ||||
\(592\) | 1.63559 | + | 3.21003i | 0.0672225 | + | 0.131932i | ||||
\(593\) | −16.9557 | + | 16.9557i | −0.696289 | + | 0.696289i | −0.963608 | − | 0.267319i | \(-0.913862\pi\) |
0.267319 | + | 0.963608i | \(0.413862\pi\) | |||||||
\(594\) | 8.90965 | − | 27.4211i | 0.365567 | − | 1.12510i | ||||
\(595\) | −5.09162 | − | 8.71427i | −0.208736 | − | 0.357250i | ||||
\(596\) | −1.03550 | − | 3.18694i | −0.0424157 | − | 0.130542i | ||||
\(597\) | 39.7627 | + | 20.2601i | 1.62738 | + | 0.829192i | ||||
\(598\) | 7.94869 | − | 1.25895i | 0.325046 | − | 0.0514822i | ||||
\(599\) | 34.9994i | 1.43004i | 0.699106 | + | 0.715018i | \(0.253582\pi\) | ||||
−0.699106 | + | 0.715018i | \(0.746418\pi\) | |||||||
\(600\) | −8.39602 | − | 4.05832i | −0.342766 | − | 0.165680i | ||||
\(601\) | 4.05530i | 0.165419i | 0.996574 | + | 0.0827095i | \(0.0263574\pi\) | ||||
−0.996574 | + | 0.0827095i | \(0.973643\pi\) | |||||||
\(602\) | −2.51575 | − | 0.905934i | −0.102534 | − | 0.0369231i | ||||
\(603\) | −0.218994 | + | 0.429801i | −0.00891814 | + | 0.0175028i | ||||
\(604\) | 11.9892 | − | 3.89551i | 0.487832 | − | 0.158506i | ||||
\(605\) | 59.2174 | − | 5.28638i | 2.40753 | − | 0.214922i | ||||
\(606\) | −4.69424 | + | 14.4474i | −0.190690 | + | 0.586885i | ||||
\(607\) | 25.3446 | + | 25.3446i | 1.02871 | + | 1.02871i | 0.999576 | + | 0.0291317i | \(0.00927422\pi\) |
0.0291317 | + | 0.999576i | \(0.490726\pi\) | |||||||
\(608\) | 2.86309 | + | 5.61913i | 0.116114 | + | 0.227886i | ||||
\(609\) | 42.0707 | − | 5.31164i | 1.70479 | − | 0.215239i | ||||
\(610\) | −0.595347 | − | 0.497765i | −0.0241049 | − | 0.0201539i | ||||
\(611\) | −5.01524 | − | 3.64378i | −0.202895 | − | 0.147412i | ||||
\(612\) | −0.806297 | − | 0.127705i | −0.0325926 | − | 0.00516216i | ||||
\(613\) | −31.1665 | − | 4.93629i | −1.25880 | − | 0.199375i | −0.508844 | − | 0.860859i | \(-0.669927\pi\) |
−0.749959 | + | 0.661484i | \(0.769927\pi\) | |||||||
\(614\) | 13.7061 | + | 9.95807i | 0.553134 | + | 0.401875i | ||||
\(615\) | 1.75687 | + | 0.119731i | 0.0708439 | + | 0.00482802i | ||||
\(616\) | −16.0931 | + | 2.03184i | −0.648411 | + | 0.0818651i | ||||
\(617\) | −9.49572 | − | 18.6364i | −0.382283 | − | 0.750273i | 0.617045 | − | 0.786928i | \(-0.288330\pi\) |
−0.999328 | + | 0.0366548i | \(0.988330\pi\) | |||||||
\(618\) | −2.71102 | − | 2.71102i | −0.109053 | − | 0.109053i | ||||
\(619\) | 10.8099 | − | 33.2696i | 0.434488 | − | 1.33722i | −0.459122 | − | 0.888373i | \(-0.651836\pi\) |
0.893610 | − | 0.448844i | \(-0.148164\pi\) | |||||||
\(620\) | −2.32597 | + | 10.1568i | −0.0934131 | + | 0.407906i | ||||
\(621\) | 8.13189 | − | 2.64221i | 0.326321 | − | 0.106028i | ||||
\(622\) | −7.56232 | + | 14.8419i | −0.303221 | + | 0.595105i | ||||
\(623\) | 6.56642 | + | 2.36460i | 0.263078 | + | 0.0947357i | ||||
\(624\) | − | 8.25544i | − | 0.330482i | ||||||
\(625\) | 15.5305 | + | 19.5909i | 0.621220 | + | 0.783637i | ||||
\(626\) | − | 10.5263i | − | 0.420714i | ||||||
\(627\) | −71.2247 | + | 11.2809i | −2.84444 | + | 0.450515i | ||||
\(628\) | −10.6381 | − | 5.42040i | −0.424508 | − | 0.216298i | ||||
\(629\) | −1.89926 | − | 5.84533i | −0.0757286 | − | 0.233069i | ||||
\(630\) | −1.88335 | + | 2.11361i | −0.0750345 | + | 0.0842084i | ||||
\(631\) | −3.16479 | + | 9.74023i | −0.125988 | + | 0.387752i | −0.994080 | − | 0.108652i | \(-0.965347\pi\) |
0.868091 | + | 0.496404i | \(0.165347\pi\) | |||||||
\(632\) | 1.69153 | − | 1.69153i | 0.0672855 | − | 0.0672855i | ||||
\(633\) | 7.45748 | + | 14.6361i | 0.296408 | + | 0.581734i | ||||
\(634\) | −11.9425 | − | 16.4374i | −0.474296 | − | 0.652812i | ||||
\(635\) | −0.653863 | + | 9.59445i | −0.0259478 | + | 0.380744i | ||||
\(636\) | 11.7758 | − | 16.2080i | 0.466941 | − | 0.642689i | ||||
\(637\) | −12.3012 | − | 28.4378i | −0.487390 | − | 1.12674i | ||||
\(638\) | −52.0371 | − | 8.24187i | −2.06017 | − | 0.326299i | ||||
\(639\) | 2.24890 | − | 3.09534i | 0.0889650 | − | 0.122450i | ||||
\(640\) | −1.71547 | − | 1.43429i | −0.0678098 | − | 0.0566951i | ||||
\(641\) | −10.5421 | + | 7.65925i | −0.416386 | + | 0.302522i | −0.776182 | − | 0.630509i | \(-0.782846\pi\) |
0.359796 | + | 0.933031i | \(0.382846\pi\) | |||||||
\(642\) | 24.9919 | − | 12.7340i | 0.986352 | − | 0.502572i | ||||
\(643\) | −7.03626 | + | 7.03626i | −0.277483 | + | 0.277483i | −0.832104 | − | 0.554620i | \(-0.812864\pi\) |
0.554620 | + | 0.832104i | \(0.312864\pi\) | |||||||
\(644\) | −3.29269 | − | 3.50687i | −0.129750 | − | 0.138190i | ||||
\(645\) | 4.19811 | − | 0.374768i | 0.165300 | − | 0.0147565i | ||||
\(646\) | −3.32464 | − | 10.2322i | −0.130806 | − | 0.402580i | ||||
\(647\) | −1.18471 | + | 2.32512i | −0.0465756 | + | 0.0914098i | −0.913121 | − | 0.407688i | \(-0.866335\pi\) |
0.866546 | + | 0.499098i | \(0.166335\pi\) | |||||||
\(648\) | −1.59666 | − | 10.0809i | −0.0627228 | − | 0.396016i | ||||
\(649\) | −80.4093 | −3.15634 | ||||||||
\(650\) | −9.63146 | + | 19.9260i | −0.377777 | + | 0.781560i | ||||
\(651\) | 20.1491 | + | 11.0790i | 0.789705 | + | 0.434219i | ||||
\(652\) | 0.119618 | − | 0.0189456i | 0.00468459 | − | 0.000741966i | ||||
\(653\) | 4.63189 | − | 9.09061i | 0.181260 | − | 0.355743i | −0.782442 | − | 0.622724i | \(-0.786026\pi\) |
0.963702 | + | 0.266981i | \(0.0860261\pi\) | |||||||
\(654\) | 9.06090 | + | 27.8866i | 0.354309 | + | 1.09045i | ||||
\(655\) | −16.3143 | + | 27.2607i | −0.637454 | + | 1.06516i | ||||
\(656\) | 0.401578 | + | 0.130481i | 0.0156790 | + | 0.00509441i | ||||
\(657\) | 4.00828 | + | 4.00828i | 0.156378 | + | 0.156378i | ||||
\(658\) | −0.116662 | + | 3.70360i | −0.00454794 | + | 0.144381i | ||||
\(659\) | 8.65705 | + | 11.9154i | 0.337231 | + | 0.464158i | 0.943630 | − | 0.331002i | \(-0.107387\pi\) |
−0.606399 | + | 0.795160i | \(0.707387\pi\) | |||||||
\(660\) | 21.6595 | − | 13.5876i | 0.843093 | − | 0.528898i | ||||
\(661\) | −16.0922 | + | 22.1490i | −0.625913 | + | 0.861496i | −0.997767 | − | 0.0667956i | \(-0.978722\pi\) |
0.371853 | + | 0.928292i | \(0.378722\pi\) | |||||||
\(662\) | 1.44377 | − | 9.11561i | 0.0561138 | − | 0.354288i | ||||
\(663\) | −2.20317 | + | 13.9102i | −0.0855639 | + | 0.540229i | ||||
\(664\) | 6.21189 | + | 4.51321i | 0.241068 | + | 0.175146i | ||||
\(665\) | −36.0880 | − | 9.46945i | −1.39943 | − | 0.367210i | ||||
\(666\) | −1.39472 | + | 1.01332i | −0.0540443 | + | 0.0392655i | ||||
\(667\) | −7.09327 | − | 13.9213i | −0.274653 | − | 0.539036i | ||||
\(668\) | 15.2421 | − | 15.2421i | 0.589733 | − | 0.589733i | ||||
\(669\) | −7.37715 | − | 2.39698i | −0.285217 | − | 0.0926727i | ||||
\(670\) | 2.07334 | − | 0.884409i | 0.0801000 | − | 0.0341677i | ||||
\(671\) | 2.02358 | − | 0.657501i | 0.0781194 | − | 0.0253825i | ||||
\(672\) | −4.08146 | + | 2.77332i | −0.157446 | + | 0.106983i | ||||
\(673\) | 2.95387 | + | 18.6500i | 0.113863 | + | 0.718904i | 0.976890 | + | 0.213745i | \(0.0685661\pi\) |
−0.863026 | + | 0.505159i | \(0.831434\pi\) | |||||||
\(674\) | − | 4.22078i | − | 0.162578i | ||||||
\(675\) | −6.79520 | + | 22.5105i | −0.261547 | + | 0.866431i | ||||
\(676\) | −6.59234 | −0.253552 | ||||||||
\(677\) | 4.03034 | + | 25.4465i | 0.154898 | + | 0.977990i | 0.935594 | + | 0.353078i | \(0.114865\pi\) |
−0.780695 | + | 0.624912i | \(0.785135\pi\) | |||||||
\(678\) | 5.69776 | + | 2.90315i | 0.218821 | + | 0.111495i | ||||
\(679\) | 2.43574 | − | 12.7635i | 0.0934751 | − | 0.489819i | ||||
\(680\) | 2.50775 | + | 2.87455i | 0.0961678 | + | 0.110234i | ||||
\(681\) | −0.351544 | + | 1.08194i | −0.0134712 | + | 0.0414601i | ||||
\(682\) | −20.2014 | − | 20.2014i | −0.773550 | − | 0.773550i | ||||
\(683\) | −21.4150 | + | 10.9115i | −0.819423 | + | 0.417517i | −0.812858 | − | 0.582462i | \(-0.802090\pi\) |
−0.00656454 | + | 0.999978i | \(0.502090\pi\) | |||||||
\(684\) | −2.44144 | + | 1.77381i | −0.0933509 | + | 0.0678234i | ||||
\(685\) | −44.7972 | − | 18.0072i | −1.71161 | − | 0.688019i | ||||
\(686\) | −9.92708 | + | 15.6350i | −0.379018 | + | 0.596947i | ||||
\(687\) | 4.43376 | − | 27.9937i | 0.169159 | − | 1.06803i | ||||
\(688\) | 0.998195 | + | 0.158098i | 0.0380558 | + | 0.00602745i | ||||
\(689\) | −38.4658 | − | 27.9471i | −1.46543 | − | 1.06470i | ||||
\(690\) | 7.03542 | + | 2.82803i | 0.267834 | + | 0.107661i | ||||
\(691\) | 26.6693 | + | 36.7072i | 1.01455 | + | 1.39641i | 0.915955 | + | 0.401280i | \(0.131435\pi\) |
0.0985942 | + | 0.995128i | \(0.468565\pi\) | |||||||
\(692\) | −6.90409 | + | 3.51781i | −0.262454 | + | 0.133727i | ||||
\(693\) | −2.16499 | − | 7.45399i | −0.0822413 | − | 0.283154i | ||||
\(694\) | 12.6252 | + | 4.10216i | 0.479244 | + | 0.155716i | ||||
\(695\) | −15.2768 | + | 13.3274i | −0.579482 | + | 0.505538i | ||||
\(696\) | −15.2430 | + | 4.95276i | −0.577786 | + | 0.187734i | ||||
\(697\) | −0.641828 | − | 0.327028i | −0.0243110 | − | 0.0123871i | ||||
\(698\) | 17.4919 | − | 2.77045i | 0.662078 | − | 0.104863i | ||||
\(699\) | −40.8814 | −1.54628 | ||||||||
\(700\) | 13.0869 | − | 1.93214i | 0.494638 | − | 0.0730280i | ||||
\(701\) | 32.1665 | 1.21491 | 0.607456 | − | 0.794354i | \(-0.292190\pi\) | ||||
0.607456 | + | 0.794354i | \(0.292190\pi\) | |||||||
\(702\) | −20.5597 | + | 3.25633i | −0.775974 | + | 0.122902i | ||||
\(703\) | −20.2440 | − | 10.3149i | −0.763519 | − | 0.389032i | ||||
\(704\) | 5.83085 | − | 1.89456i | 0.219758 | − | 0.0714038i | ||||
\(705\) | −2.29169 | − | 5.37245i | −0.0863100 | − | 0.202338i | ||||
\(706\) | −33.8913 | − | 11.0120i | −1.27552 | − | 0.414440i | ||||
\(707\) | −6.01057 | − | 20.6942i | −0.226051 | − | 0.778284i | ||||
\(708\) | −21.7951 | + | 11.1052i | −0.819110 | + | 0.417357i | ||||
\(709\) | −12.8972 | − | 17.7515i | −0.484364 | − | 0.666670i | 0.494972 | − | 0.868909i | \(-0.335178\pi\) |
−0.979336 | + | 0.202239i | \(0.935178\pi\) | |||||||
\(710\) | −17.3399 | + | 4.35591i | −0.650756 | + | 0.163474i | ||||
\(711\) | 0.926091 | + | 0.672844i | 0.0347311 | + | 0.0252336i | ||||
\(712\) | −2.60541 | − | 0.412657i | −0.0976420 | − | 0.0154650i | ||||
\(713\) | 1.32536 | − | 8.36802i | 0.0496353 | − | 0.313385i | ||||
\(714\) | 7.61730 | − | 3.58375i | 0.285070 | − | 0.134118i | ||||
\(715\) | −32.2471 | − | 51.4036i | −1.20597 | − | 1.92239i | ||||
\(716\) | 12.9181 | − | 9.38557i | 0.482773 | − | 0.350755i | ||||
\(717\) | 16.8832 | − | 8.60241i | 0.630514 | − | 0.321263i | ||||
\(718\) | −19.4605 | − | 19.4605i | −0.726258 | − | 0.726258i | ||||
\(719\) | −14.0620 | + | 43.2783i | −0.524423 | + | 1.61401i | 0.241030 | + | 0.970518i | \(0.422515\pi\) |
−0.765454 | + | 0.643491i | \(0.777485\pi\) | |||||||
\(720\) | 0.549471 | − | 0.918146i | 0.0204776 | − | 0.0342173i | ||||
\(721\) | 5.34233 | + | 1.01951i | 0.198959 | + | 0.0379685i | ||||
\(722\) | −18.5079 | − | 9.43023i | −0.688792 | − | 0.350957i | ||||
\(723\) | 1.09221 | + | 6.89596i | 0.0406198 | + | 0.256463i | ||||
\(724\) | 19.2272 | 0.714575 | ||||||||
\(725\) | 42.5700 | + | 5.82938i | 1.58101 | + | 0.216498i | ||||
\(726\) | 49.5890i | 1.84042i | ||||||||
\(727\) | 1.93560 | + | 12.2209i | 0.0717875 | + | 0.453248i | 0.997231 | + | 0.0743633i | \(0.0236925\pi\) |
−0.925444 | + | 0.378885i | \(0.876308\pi\) | |||||||
\(728\) | 6.58182 | + | 9.68638i | 0.243939 | + | 0.359001i | ||||
\(729\) | −20.3802 | + | 6.62192i | −0.754822 | + | 0.245256i | ||||
\(730\) | −2.35528 | − | 26.3836i | −0.0871729 | − | 0.976500i | ||||
\(731\) | −1.63974 | − | 0.532785i | −0.0606481 | − | 0.0197058i | ||||
\(732\) | 0.457689 | − | 0.457689i | 0.0169167 | − | 0.0169167i | ||||
\(733\) | −17.5711 | − | 34.4852i | −0.649003 | − | 1.27374i | −0.947630 | − | 0.319371i | \(-0.896528\pi\) |
0.298627 | − | 0.954370i | \(-0.403472\pi\) | |||||||
\(734\) | −28.0586 | + | 20.3858i | −1.03566 | + | 0.752453i | ||||
\(735\) | 3.81404 | − | 28.9429i | 0.140683 | − | 1.06757i | ||||
\(736\) | 1.47092 | + | 1.06869i | 0.0542189 | + | 0.0393924i | ||||
\(737\) | −0.966815 | + | 6.10423i | −0.0356131 | + | 0.224852i | ||||
\(738\) | −0.0316080 | + | 0.199565i | −0.00116351 | + | 0.00734609i | ||||
\(739\) | −27.9688 | + | 38.4957i | −1.02885 | + | 1.41609i | −0.123039 | + | 0.992402i | \(0.539264\pi\) |
−0.905809 | + | 0.423686i | \(0.860736\pi\) | |||||||
\(740\) | 8.03725 | + | 0.547739i | 0.295455 | + | 0.0201353i | ||||
\(741\) | 30.6018 | + | 42.1198i | 1.12419 | + | 1.54731i | ||||
\(742\) | −0.894770 | + | 28.4059i | −0.0328480 | + | 1.04281i | ||||
\(743\) | 2.66404 | + | 2.66404i | 0.0977343 | + | 0.0977343i | 0.754283 | − | 0.656549i | \(-0.227985\pi\) |
−0.656549 | + | 0.754283i | \(0.727985\pi\) | |||||||
\(744\) | −8.26559 | − | 2.68565i | −0.303031 | − | 0.0984608i | ||||
\(745\) | −7.30386 | − | 1.67263i | −0.267593 | − | 0.0612805i | ||||
\(746\) | 0.154682 | + | 0.476061i | 0.00566330 | + | 0.0174298i | ||||
\(747\) | −1.66807 | + | 3.27377i | −0.0610314 | + | 0.119781i | ||||
\(748\) | −10.3305 | + | 1.63618i | −0.377719 | + | 0.0598248i | ||||
\(749\) | −19.1714 | + | 34.8666i | −0.700507 | + | 1.27400i | ||||
\(750\) | −17.4277 | + | 11.4495i | −0.636368 | + | 0.418078i | ||||
\(751\) | 30.3951 | 1.10913 | 0.554566 | − | 0.832140i | \(-0.312884\pi\) | ||||
0.554566 | + | 0.832140i | \(0.312884\pi\) | |||||||
\(752\) | −0.219090 | − | 1.38328i | −0.00798940 | − | 0.0504431i | ||||
\(753\) | 12.6804 | − | 24.8867i | 0.462100 | − | 0.906922i | ||||
\(754\) | 11.7542 | + | 36.1757i | 0.428063 | + | 1.31744i | ||||
\(755\) | 6.29239 | − | 27.4769i | 0.229003 | − | 0.999987i | ||||
\(756\) | 8.51670 | + | 9.07069i | 0.309749 | + | 0.329898i | ||||
\(757\) | 3.94438 | − | 3.94438i | 0.143361 | − | 0.143361i | −0.631784 | − | 0.775145i | \(-0.717677\pi\) |
0.775145 | + | 0.631784i | \(0.217677\pi\) | |||||||
\(758\) | −5.53134 | + | 2.81836i | −0.200907 | + | 0.102367i | ||||
\(759\) | −16.8195 | + | 12.2201i | −0.610509 | + | 0.443561i | ||||
\(760\) | 14.0691 | + | 0.958812i | 0.510341 | + | 0.0347798i | ||||
\(761\) | 2.16387 | − | 2.97831i | 0.0784402 | − | 0.107964i | −0.767994 | − | 0.640457i | \(-0.778745\pi\) |
0.846434 | + | 0.532493i | \(0.178745\pi\) | |||||||
\(762\) | −7.92243 | − | 1.25479i | −0.286999 | − | 0.0454562i | ||||
\(763\) | −32.8646 | − | 25.4962i | −1.18978 | − | 0.923026i | ||||
\(764\) | −12.8716 | + | 17.7163i | −0.465679 | + | 0.640952i | ||||
\(765\) | −1.17088 | + | 1.40042i | −0.0423331 | + | 0.0506322i | ||||
\(766\) | −0.796435 | − | 1.09620i | −0.0287764 | − | 0.0396073i | ||||
\(767\) | 26.3555 | + | 51.7255i | 0.951641 | + | 1.86770i | ||||
\(768\) | 1.31881 | − | 1.31881i | 0.0475885 | − | 0.0475885i | ||||
\(769\) | −14.6129 | + | 44.9739i | −0.526955 | + | 1.62180i | 0.233462 | + | 0.972366i | \(0.424995\pi\) |
−0.760417 | + | 0.649435i | \(0.775005\pi\) | |||||||
\(770\) | −14.5807 | + | 33.2113i | −0.525453 | + | 1.19685i | ||||
\(771\) | 5.19935 | + | 16.0020i | 0.187250 | + | 0.576297i | ||||
\(772\) | −5.63341 | − | 2.87037i | −0.202751 | − | 0.103307i | ||||
\(773\) | 43.6549 | − | 6.91426i | 1.57016 | − | 0.248689i | 0.690157 | − | 0.723660i | \(-0.257541\pi\) |
0.880002 | + | 0.474971i | \(0.157541\pi\) | |||||||
\(774\) | 0.483611i | 0.0173830i | ||||||||
\(775\) | 16.8171 | + | 16.1256i | 0.604090 | + | 0.579248i | ||||
\(776\) | 4.91122i | 0.176302i | ||||||||
\(777\) | 6.02319 | − | 16.7262i | 0.216081 | − | 0.600050i | ||||
\(778\) | −1.33529 | + | 2.62065i | −0.0478724 | + | 0.0939548i | ||||
\(779\) | −2.53255 | + | 0.822875i | −0.0907380 | + | 0.0294826i | ||||
\(780\) | −15.8399 | − | 9.47947i | −0.567158 | − | 0.339420i | ||||
\(781\) | 15.1481 | − | 46.6210i | 0.542042 | − | 1.66823i | ||||
\(782\) | −2.19327 | − | 2.19327i | −0.0784311 | − | 0.0784311i | ||||
\(783\) | 18.3471 | + | 36.0082i | 0.655671 | + | 1.28683i | ||||
\(784\) | 2.57782 | − | 6.50806i | 0.0920651 | − | 0.232431i | ||||
\(785\) | −22.6157 | + | 14.1875i | −0.807188 | + | 0.506374i | ||||
\(786\) | −21.4378 | − | 15.5755i | −0.764662 | − | 0.555559i | ||||
\(787\) | 11.4657 | + | 1.81599i | 0.408708 | + | 0.0647330i | 0.357403 | − | 0.933950i | \(-0.383662\pi\) |
0.0513044 | + | 0.998683i | \(0.483662\pi\) | |||||||
\(788\) | 5.98345 | + | 0.947685i | 0.213151 | + | 0.0337599i | ||||
\(789\) | −28.3098 | − | 20.5683i | −1.00786 | − | 0.732250i | ||||
\(790\) | −1.30324 | − | 5.18791i | −0.0463671 | − | 0.184577i | ||||
\(791\) | −8.99997 | + | 1.13629i | −0.320002 | + | 0.0404019i | ||||
\(792\) | 1.33190 | + | 2.61401i | 0.0473272 | + | 0.0928848i | ||||
\(793\) | −1.08622 | − | 1.08622i | −0.0385727 | − | 0.0385727i | ||||
\(794\) | 7.64515 | − | 23.5294i | 0.271316 | − | 0.835025i | ||||
\(795\) | −17.5768 | − | 41.2056i | −0.623384 | − | 1.46141i | ||||
\(796\) | 22.7564 | − | 7.39402i | 0.806581 | − | 0.262074i | ||||
\(797\) | 5.74783 | − | 11.2808i | 0.203599 | − | 0.399585i | −0.766518 | − | 0.642222i | \(-0.778013\pi\) |
0.970117 | + | 0.242638i | \(0.0780126\pi\) | |||||||
\(798\) | 10.5435 | − | 29.2791i | 0.373237 | − | 1.03647i | ||||
\(799\) | 2.38927i | 0.0845263i | ||||||||
\(800\) | −4.72181 | + | 1.64455i | −0.166941 | + | 0.0581436i | ||||
\(801\) | − | 1.26228i | − | 0.0446006i | ||||||
\(802\) | −9.67538 | + | 1.53243i | −0.341649 | + | 0.0541120i | ||||
\(803\) | 64.7111 | + | 32.9720i | 2.28361 | + | 1.16356i | ||||
\(804\) | 0.580985 | + | 1.78809i | 0.0204898 | + | 0.0630610i | ||||
\(805\) | −10.5096 | + | 2.29091i | −0.370415 | + | 0.0807439i | ||||
\(806\) | −6.37376 | + | 19.6164i | −0.224506 | + | 0.690959i | ||||
\(807\) | −14.2328 | + | 14.2328i | −0.501020 | + | 0.501020i | ||||
\(808\) | 3.69771 | + | 7.25716i | 0.130085 | + | 0.255306i | ||||
\(809\) | −18.4510 | − | 25.3956i | −0.648702 | − | 0.892861i | 0.350340 | − | 0.936622i | \(-0.386066\pi\) |
−0.999042 | + | 0.0437611i | \(0.986066\pi\) | |||||||
\(810\) | −21.1758 | − | 8.51207i | −0.744043 | − | 0.299084i | ||||
\(811\) | −17.3198 | + | 23.8386i | −0.608180 | + | 0.837088i | −0.996426 | − | 0.0844680i | \(-0.973081\pi\) |
0.388247 | + | 0.921556i | \(0.373081\pi\) | |||||||
\(812\) | 13.9365 | − | 17.9641i | 0.489074 | − | 0.630415i | ||||
\(813\) | 11.4981 | + | 1.82111i | 0.403254 | + | 0.0638692i | ||||
\(814\) | −12.9829 | + | 17.8695i | −0.455051 | + | 0.626325i | ||||
\(815\) | 0.101002 | − | 0.251267i | 0.00353795 | − | 0.00880150i | ||||
\(816\) | −2.57412 | + | 1.87021i | −0.0901123 | + | 0.0654704i | ||||
\(817\) | −5.67890 | + | 2.89354i | −0.198680 | + | 0.101232i | ||||
\(818\) | 19.3805 | − | 19.3805i | 0.677623 | − | 0.677623i | ||||
\(819\) | −4.08537 | + | 3.83586i | −0.142754 | + | 0.134036i | ||||
\(820\) | 0.711475 | − | 0.620688i | 0.0248458 | − | 0.0216754i | ||||
\(821\) | 1.02319 | + | 3.14906i | 0.0357097 | + | 0.109903i | 0.967322 | − | 0.253549i | \(-0.0815980\pi\) |
−0.931613 | + | 0.363452i | \(0.881598\pi\) | |||||||
\(822\) | 18.2825 | − | 35.8814i | 0.637674 | − | 1.25151i | ||||
\(823\) | −5.12978 | − | 32.3881i | −0.178813 | − | 1.12898i | −0.899887 | − | 0.436122i | \(-0.856352\pi\) |
0.721075 | − | 0.692857i | \(-0.243648\pi\) | |||||||
\(824\) | −2.05565 | −0.0716120 | ||||||||
\(825\) | −1.19997 | − | 57.1607i | −0.0417775 | − | 1.99008i | ||||
\(826\) | 16.7191 | − | 30.4066i | 0.581731 | − | 1.05798i | ||||
\(827\) | 18.6812 | − | 2.95881i | 0.649608 | − | 0.102888i | 0.177070 | − | 0.984198i | \(-0.443338\pi\) |
0.472538 | + | 0.881310i | \(0.343338\pi\) | |||||||
\(828\) | −0.394984 | + | 0.775200i | −0.0137267 | + | 0.0269401i | ||||
\(829\) | 0.981655 | + | 3.02122i | 0.0340943 | + | 0.104931i | 0.966655 | − | 0.256081i | \(-0.0824313\pi\) |
−0.932561 | + | 0.361012i | \(0.882431\pi\) | |||||||
\(830\) | 15.7925 | − | 6.73650i | 0.548166 | − | 0.233827i | ||||
\(831\) | 10.1578 | + | 3.30046i | 0.352370 | + | 0.114492i | ||||
\(832\) | −3.12988 | − | 3.12988i | −0.108509 | − | 0.108509i | ||||
\(833\) | −6.08041 | + | 10.2780i | −0.210674 | + | 0.356111i | ||||
\(834\) | −9.93922 | − | 13.6802i | −0.344167 | − | 0.473705i | ||||
\(835\) | −11.7432 | − | 46.7472i | −0.406391 | − | 1.61775i | ||||
\(836\) | −22.7265 | + | 31.2803i | −0.786012 | + | 1.08185i | ||||
\(837\) | −3.42812 | + | 21.6443i | −0.118493 | + | 0.748135i | ||||
\(838\) | 3.76140 | − | 23.7485i | 0.129935 | − | 0.820379i | ||||
\(839\) | −4.45592 | − | 3.23742i | −0.153835 | − | 0.111768i | 0.508205 | − | 0.861236i | \(-0.330309\pi\) |
−0.662040 | + | 0.749468i | \(0.730309\pi\) | |||||||
\(840\) | 0.634606 | + | 11.0157i | 0.0218960 | + | 0.380078i | ||||
\(841\) | 36.2823 | − | 26.3607i | 1.25111 | − | 0.908988i | ||||
\(842\) | 5.91751 | + | 11.6138i | 0.203931 | + | 0.400237i | ||||
\(843\) | 13.3812 | − | 13.3812i | 0.460874 | − | 0.460874i | ||||
\(844\) | 8.37634 | + | 2.72164i | 0.288326 | + | 0.0936827i | ||||
\(845\) | −7.56978 | + | 12.6488i | −0.260408 | + | 0.435134i | ||||
\(846\) | 0.637379 | − | 0.207097i | 0.0219135 | − | 0.00712014i | ||||
\(847\) | −39.5359 | − | 58.1844i | −1.35847 | − | 1.99924i | ||||
\(848\) | −1.68038 | − | 10.6095i | −0.0577044 | − | 0.364331i | ||||
\(849\) | 42.7871i | 1.46845i | ||||||||
\(850\) | 8.39503 | − | 1.51090i | 0.287947 | − | 0.0518235i | ||||
\(851\) | −6.55029 | −0.224541 | ||||||||
\(852\) | −2.33281 | − | 14.7288i | −0.0799209 | − | 0.504600i | ||||
\(853\) | 20.3444 | + | 10.3660i | 0.696581 | + | 0.354926i | 0.766159 | − | 0.642651i | \(-0.222165\pi\) |
−0.0695785 | + | 0.997576i | \(0.522165\pi\) | |||||||
\(854\) | −0.172120 | + | 0.901924i | −0.00588981 | + | 0.0308632i | ||||
\(855\) | 0.600011 | + | 6.72125i | 0.0205199 | + | 0.229862i | ||||
\(856\) | 4.64733 | − | 14.3030i | 0.158843 | − | 0.488867i | ||||
\(857\) | −8.76401 | − | 8.76401i | −0.299373 | − | 0.299373i | 0.541395 | − | 0.840768i | \(-0.317896\pi\) |
−0.840768 | + | 0.541395i | \(0.817896\pi\) | |||||||
\(858\) | 45.0969 | − | 22.9780i | 1.53958 | − | 0.784457i | ||||
\(859\) | 13.9558 | − | 10.1394i | 0.476164 | − | 0.345953i | −0.323675 | − | 0.946168i | \(-0.604918\pi\) |
0.799839 | + | 0.600215i | \(0.204918\pi\) | |||||||
\(860\) | 1.44954 | − | 1.73371i | 0.0494290 | − | 0.0591192i | ||||
\(861\) | −0.887007 | − | 1.88534i | −0.0302291 | − | 0.0642523i | ||||
\(862\) | −1.41149 | + | 8.91177i | −0.0480754 | + | 0.303536i | ||||
\(863\) | 22.6440 | + | 3.58645i | 0.770810 | + | 0.122084i | 0.529438 | − | 0.848348i | \(-0.322403\pi\) |
0.241372 | + | 0.970433i | \(0.422403\pi\) | |||||||
\(864\) | −3.80461 | − | 2.76421i | −0.129436 | − | 0.0940404i | ||||
\(865\) | −1.17807 | + | 17.2864i | −0.0400556 | + | 0.587755i | ||||
\(866\) | −7.20189 | − | 9.91255i | −0.244730 | − | 0.336842i | ||||
\(867\) | −23.4141 | + | 11.9301i | −0.795185 | + | 0.405167i | ||||
\(868\) | 11.8395 | − | 3.43875i | 0.401858 | − | 0.116719i | ||||
\(869\) | 13.9485 | + | 4.53214i | 0.473170 | + | 0.153742i | ||||
\(870\) | −8.00015 | + | 34.9342i | −0.271231 | + | 1.18438i | ||||
\(871\) | 4.24361 | − | 1.37883i | 0.143789 | − | 0.0467199i | ||||
\(872\) | 14.0079 | + | 7.13737i | 0.474367 | + | 0.241702i | ||||
\(873\) | −2.32119 | + | 0.367640i | −0.0785602 | + | 0.0124427i | ||||
\(874\) | −11.4662 | −0.387851 | ||||||||
\(875\) | 11.3200 | − | 27.3287i | 0.382687 | − | 0.923878i | ||||
\(876\) | 22.0938 | 0.746479 | ||||||||
\(877\) | −40.7073 | + | 6.44740i | −1.37459 | + | 0.217713i | −0.799641 | − | 0.600478i | \(-0.794977\pi\) |
−0.574946 | + | 0.818191i | \(0.694977\pi\) | |||||||
\(878\) | −24.2392 | − | 12.3505i | −0.818034 | − | 0.416809i | ||||
\(879\) | −29.4492 | + | 9.56864i | −0.993298 | + | 0.322742i | ||||
\(880\) | 3.06026 | − | 13.3632i | 0.103161 | − | 0.450474i | ||||
\(881\) | 38.9731 | + | 12.6631i | 1.31304 | + | 0.426632i | 0.880098 | − | 0.474792i | \(-0.157477\pi\) |
0.432939 | + | 0.901423i | \(0.357477\pi\) | |||||||
\(882\) | 3.26887 | + | 0.731181i | 0.110069 | + | 0.0246201i | ||||
\(883\) | −13.9051 | + | 7.08500i | −0.467944 | + | 0.238429i | −0.672030 | − | 0.740523i | \(-0.734578\pi\) |
0.204086 | + | 0.978953i | \(0.434578\pi\) | |||||||
\(884\) | 4.43850 | + | 6.10907i | 0.149283 | + | 0.205470i | ||||
\(885\) | −3.71898 | + | 54.5704i | −0.125012 | + | 1.83436i | ||||
\(886\) | 2.02984 | + | 1.47476i | 0.0681937 | + | 0.0495456i | ||||
\(887\) | −25.3945 | − | 4.02209i | −0.852663 | − | 0.135049i | −0.285221 | − | 0.958462i | \(-0.592067\pi\) |
−0.567442 | + | 0.823413i | \(0.692067\pi\) | |||||||
\(888\) | −1.05113 | + | 6.63660i | −0.0352738 | + | 0.222710i | ||||
\(889\) | 10.2961 | − | 4.84404i | 0.345319 | − | 0.162464i | ||||
\(890\) | −3.78349 | + | 4.52521i | −0.126823 | + | 0.151685i | ||||
\(891\) | 50.6248 | − | 36.7811i | 1.69600 | − | 1.23221i | ||||
\(892\) | −3.70566 | + | 1.88813i | −0.124075 | + | 0.0632193i | ||||
\(893\) | 6.24545 | + | 6.24545i | 0.208996 | + | 0.208996i | ||||
\(894\) | 1.93129 | − | 5.94389i | 0.0645919 | − | 0.198793i | ||||
\(895\) | −3.17477 | − | 35.5634i | −0.106121 | − | 1.18875i | ||||
\(896\) | −0.495954 | + | 2.59885i | −0.0165687 | + | 0.0868215i | ||||
\(897\) | 13.3738 | + | 6.81427i | 0.446537 | + | 0.227522i | ||||
\(898\) | 3.76470 | + | 23.7694i | 0.125630 | + | 0.793195i | ||||
\(899\) | 40.0440 | 1.33554 | ||||||||
\(900\) | −1.13072 | − | 2.10856i | −0.0376908 | − | 0.0702853i | ||||
\(901\) | 18.3252i | 0.610500i | ||||||||
\(902\) | 0.404969 | + | 2.55687i | 0.0134840 | + | 0.0851346i | ||||
\(903\) | −2.80282 | − | 4.12488i | −0.0932721 | − | 0.137267i | ||||
\(904\) | 3.26086 | − | 1.05952i | 0.108455 | − | 0.0352391i | ||||
\(905\) | 22.0781 | − | 36.8917i | 0.733899 | − | 1.22632i | ||||
\(906\) | 22.3607 | + | 7.26544i | 0.742885 | + | 0.241378i | ||||
\(907\) | 27.9077 | − | 27.9077i | 0.926659 | − | 0.926659i | −0.0708297 | − | 0.997488i | \(-0.522565\pi\) |
0.997488 | + | 0.0708297i | \(0.0225647\pi\) | |||||||
\(908\) | 0.276915 | + | 0.543476i | 0.00918975 | + | 0.0180359i | ||||
\(909\) | −3.15315 | + | 2.29089i | −0.104583 | + | 0.0759842i | ||||
\(910\) | 26.1431 | − | 1.50609i | 0.866637 | − | 0.0499263i | ||||
\(911\) | 19.6281 | + | 14.2606i | 0.650308 | + | 0.472476i | 0.863376 | − | 0.504561i | \(-0.168346\pi\) |
−0.213068 | + | 0.977037i | \(0.568346\pi\) | |||||||
\(912\) | −1.84000 | + | 11.6173i | −0.0609285 | + | 0.384687i | ||||
\(913\) | −7.36418 | + | 46.4956i | −0.243719 | + | 1.53878i | ||||
\(914\) | −5.79558 | + | 7.97693i | −0.191701 | + | 0.263854i | ||||
\(915\) | −0.352626 | − | 1.40373i | −0.0116575 | − | 0.0464058i | ||||
\(916\) | −8.93226 | − | 12.2942i | −0.295130 | − | 0.406212i | ||||
\(917\) | 37.5716 | + | 1.18348i | 1.24072 | + | 0.0390821i | ||||
\(918\) | 5.67299 | + | 5.67299i | 0.187237 | + | 0.187237i | ||||
\(919\) | −39.0215 | − | 12.6789i | −1.28720 | − | 0.418237i | −0.416090 | − | 0.909323i | \(-0.636600\pi\) |
−0.871111 | + | 0.491086i | \(0.836600\pi\) | |||||||
\(920\) | 3.73953 | − | 1.59514i | 0.123289 | − | 0.0525904i | ||||
\(921\) | 9.76419 | + | 30.0511i | 0.321741 | + | 0.990217i | ||||
\(922\) | 5.86339 | − | 11.5076i | 0.193101 | − | 0.378981i | ||||
\(923\) | −34.9553 | + | 5.53638i | −1.15057 | + | 0.182232i | ||||
\(924\) | −26.5100 | − | 14.5765i | −0.872117 | − | 0.479533i | ||||
\(925\) | 10.2799 | − | 14.7923i | 0.338000 | − | 0.486366i | ||||
\(926\) | 10.9991 | 0.361452 | ||||||||
\(927\) | −0.153880 | − | 0.971562i | −0.00505409 | − | 0.0319103i | ||||
\(928\) | −3.90135 | + | 7.65682i | −0.128068 | + | 0.251348i | ||||
\(929\) | −3.20383 | − | 9.86038i | −0.105114 | − | 0.323509i | 0.884643 | − | 0.466269i | \(-0.154402\pi\) |
−0.989757 | + | 0.142760i | \(0.954402\pi\) | |||||||
\(930\) | −14.6441 | + | 12.7755i | −0.480200 | + | 0.418925i | ||||
\(931\) | 10.9723 | + | 42.7602i | 0.359602 | + | 1.40141i | ||||
\(932\) | −15.4994 | + | 15.4994i | −0.507698 | + | 0.507698i | ||||
\(933\) | −27.6813 | + | 14.1043i | −0.906245 | + | 0.461755i | ||||
\(934\) | −32.2971 | + | 23.4652i | −1.05679 | + | 0.767806i | ||||
\(935\) | −8.72277 | + | 21.7000i | −0.285265 | + | 0.709667i | ||||
\(936\) | 1.24498 | − | 1.71357i | 0.0406935 | − | 0.0560098i | ||||
\(937\) | 34.1963 | + | 5.41616i | 1.11714 | + | 0.176938i | 0.687587 | − | 0.726102i | \(-0.258670\pi\) |
0.429557 | + | 0.903040i | \(0.358670\pi\) | |||||||
\(938\) | −2.10728 | − | 1.63482i | −0.0688051 | − | 0.0533788i | ||||
\(939\) | 11.5396 | − | 15.8829i | 0.376580 | − | 0.518318i | ||||
\(940\) | −2.90570 | − | 1.16801i | −0.0947736 | − | 0.0380962i | ||||
\(941\) | −13.5381 | − | 18.6336i | −0.441328 | − | 0.607436i | 0.529178 | − | 0.848511i | \(-0.322500\pi\) |
−0.970507 | + | 0.241074i | \(0.922500\pi\) | |||||||
\(942\) | −10.1095 | − | 19.8410i | −0.329385 | − | 0.646454i | ||||
\(943\) | −0.542851 | + | 0.542851i | −0.0176777 | + | 0.0176777i | ||||
\(944\) | −4.05287 | + | 12.4735i | −0.131910 | + | 0.405977i | ||||
\(945\) | 27.1836 | − | 5.92554i | 0.884281 | − | 0.192758i | ||||
\(946\) | 1.91471 | + | 5.89287i | 0.0622526 | + | 0.191594i | ||||
\(947\) | 2.36280 | + | 1.20391i | 0.0767808 | + | 0.0391218i | 0.491959 | − | 0.870618i | \(-0.336281\pi\) |
−0.415179 | + | 0.909740i | \(0.636281\pi\) | |||||||
\(948\) | 4.40669 | − | 0.697951i | 0.143123 | − | 0.0226684i | ||||
\(949\) | − | 52.4343i | − | 1.70209i | ||||||
\(950\) | 17.9948 | − | 25.8937i | 0.583829 | − | 0.840102i | ||||
\(951\) | − | 37.8942i | − | 1.22880i | ||||||
\(952\) | 1.52924 | − | 4.24665i | 0.0495629 | − | 0.137635i | ||||
\(953\) | −26.7032 | + | 52.4079i | −0.865000 | + | 1.69766i | −0.161609 | + | 0.986855i | \(0.551668\pi\) |
−0.703391 | + | 0.710803i | \(0.748332\pi\) | |||||||
\(954\) | 4.88856 | − | 1.58839i | 0.158273 | − | 0.0514260i | ||||
\(955\) | 19.2124 | + | 45.0401i | 0.621700 | + | 1.45746i | ||||
\(956\) | 3.13949 | − | 9.66235i | 0.101538 | − | 0.312503i | ||||
\(957\) | −69.4825 | − | 69.4825i | −2.24605 | − | 2.24605i | ||||
\(958\) | 18.1087 | + | 35.5402i | 0.585064 | + | 1.14825i | ||||
\(959\) | 7.15574 | + | 56.6768i | 0.231071 | + | 1.83019i | ||||
\(960\) | −1.01608 | − | 4.04477i | −0.0327937 | − | 0.130545i | ||||
\(961\) | −7.51250 | − | 5.45815i | −0.242339 | − | 0.176069i | ||||
\(962\) | 15.7504 | + | 2.49462i | 0.507813 | + | 0.0804297i | ||||
\(963\) | 7.10791 | + | 1.12578i | 0.229049 | + | 0.0362778i | ||||
\(964\) | 3.02855 | + | 2.20037i | 0.0975431 | + | 0.0708692i | ||||
\(965\) | −11.9761 | + | 7.51298i | −0.385524 | + | 0.241851i | ||||
\(966\) | −1.12381 | − | 8.90112i | −0.0361580 | − | 0.286389i | ||||
\(967\) | −2.38395 | − | 4.67876i | −0.0766625 | − | 0.150459i | 0.849494 | − | 0.527599i | \(-0.176908\pi\) |
−0.926156 | + | 0.377140i | \(0.876908\pi\) | |||||||
\(968\) | 18.8007 | + | 18.8007i | 0.604276 | + | 0.604276i | ||||
\(969\) | 6.20072 | − | 19.0838i | 0.199196 | − | 0.613061i | ||||
\(970\) | 9.42324 | + | 5.63940i | 0.302562 | + | 0.181070i | ||||
\(971\) | −9.31119 | + | 3.02539i | −0.298810 | + | 0.0970893i | −0.454585 | − | 0.890703i | \(-0.650213\pi\) |
0.155775 | + | 0.987793i | \(0.450213\pi\) | |||||||
\(972\) | 2.23718 | − | 4.39071i | 0.0717575 | − | 0.140832i | ||||
\(973\) | 22.5688 | + | 8.12713i | 0.723523 | + | 0.260544i | ||||
\(974\) | − | 16.7810i | − | 0.537697i | ||||||
\(975\) | −36.3769 | + | 19.5073i | −1.16499 | + | 0.624732i | ||||
\(976\) | − | 0.347047i | − | 0.0111087i | ||||||
\(977\) | 4.07447 | − | 0.645332i | 0.130354 | − | 0.0206460i | −0.0909166 | − | 0.995859i | \(-0.528980\pi\) |
0.221270 | + | 0.975213i | \(0.428980\pi\) | |||||||
\(978\) | 0.201258 | + | 0.102546i | 0.00643553 | + | 0.00327906i | ||||
\(979\) | −4.99763 | − | 15.3811i | −0.159725 | − | 0.491583i | ||||
\(980\) | −9.52709 | − | 12.4191i | −0.304332 | − | 0.396714i | ||||
\(981\) | −2.32474 | + | 7.15482i | −0.0742233 | + | 0.228436i | ||||
\(982\) | −21.6711 | + | 21.6711i | −0.691551 | + | 0.691551i | ||||
\(983\) | −5.87689 | − | 11.5341i | −0.187444 | − | 0.367879i | 0.778092 | − | 0.628151i | \(-0.216188\pi\) |
−0.965535 | + | 0.260272i | \(0.916188\pi\) | |||||||
\(984\) | 0.462892 | + | 0.637116i | 0.0147565 | + | 0.0203105i | ||||
\(985\) | 8.68895 | − | 10.3923i | 0.276853 | − | 0.331128i | ||||
\(986\) | 8.61709 | − | 11.8604i | 0.274424 | − | 0.377712i | ||||
\(987\) | −4.23616 | + | 5.46040i | −0.134839 | + | 0.173807i | ||||
\(988\) | 27.5709 | + | 4.36680i | 0.877148 | + | 0.138927i | ||||
\(989\) | −1.08006 | + | 1.48657i | −0.0343438 | + | 0.0472702i | ||||
\(990\) | 6.54493 | + | 0.446038i | 0.208012 | + | 0.0141760i | ||||
\(991\) | −20.9604 | + | 15.2287i | −0.665830 | + | 0.483754i | −0.868627 | − | 0.495467i | \(-0.834997\pi\) |
0.202796 | + | 0.979221i | \(0.434997\pi\) | |||||||
\(992\) | −4.15194 | + | 2.11552i | −0.131824 | + | 0.0671678i | ||||
\(993\) | 12.1716 | − | 12.1716i | 0.386255 | − | 0.386255i | ||||
\(994\) | 14.4800 | + | 15.4219i | 0.459278 | + | 0.489153i | ||||
\(995\) | 11.9435 | − | 52.1535i | 0.378634 | − | 1.65338i | ||||
\(996\) | 4.42533 | + | 13.6198i | 0.140222 | + | 0.431559i | ||||
\(997\) | −7.75926 | + | 15.2284i | −0.245738 | + | 0.482289i | −0.980623 | − | 0.195903i | \(-0.937236\pi\) |
0.734885 | + | 0.678192i | \(0.237236\pi\) | |||||||
\(998\) | 1.78448 | + | 11.2668i | 0.0564867 | + | 0.356643i | ||||
\(999\) | 16.9426 | 0.536042 |
(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 | 350.2.r.a.13.19 | yes | 160 | |
7.6 | odd | 2 | inner | 350.2.r.a.13.12 | ✓ | 160 | |
25.2 | odd | 20 | inner | 350.2.r.a.27.12 | yes | 160 | |
175.27 | even | 20 | inner | 350.2.r.a.27.19 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
350.2.r.a.13.12 | ✓ | 160 | 7.6 | odd | 2 | inner | |
350.2.r.a.13.19 | yes | 160 | 1.1 | even | 1 | trivial | |
350.2.r.a.27.12 | yes | 160 | 25.2 | odd | 20 | inner | |
350.2.r.a.27.19 | yes | 160 | 175.27 | even | 20 | inner |