Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [527,2,Mod(35,527)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(527, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("527.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 527 = 17 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 527.h (of order \(5\), degree \(4\), 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: | \(4.20811618652\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 35.8 | ||
Character | \(\chi\) | \(=\) | 527.35 |
Dual form | 527.2.h.c.256.8 |
$q$-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 \(\left(\mathbb{Z}/527\mathbb{Z}\right)^\times\).
\(n\) | \(156\) | \(375\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.376285 | − | 1.15809i | −0.266074 | − | 0.818892i | −0.991444 | − | 0.130532i | \(-0.958331\pi\) |
0.725370 | − | 0.688359i | \(-0.241669\pi\) | |||||||
\(3\) | −0.0739502 | + | 0.227595i | −0.0426952 | + | 0.131402i | −0.970132 | − | 0.242578i | \(-0.922007\pi\) |
0.927437 | + | 0.373980i | \(0.122007\pi\) | |||||||
\(4\) | 0.418458 | − | 0.304028i | 0.209229 | − | 0.152014i | ||||
\(5\) | −1.77800 | −0.795146 | −0.397573 | − | 0.917571i | \(-0.630147\pi\) | ||||
−0.397573 | + | 0.917571i | \(0.630147\pi\) | |||||||
\(6\) | 0.291402 | 0.118964 | ||||||||
\(7\) | −0.161608 | + | 0.117415i | −0.0610822 | + | 0.0443788i | −0.617907 | − | 0.786251i | \(-0.712019\pi\) |
0.556825 | + | 0.830630i | \(0.312019\pi\) | |||||||
\(8\) | −2.47981 | − | 1.80168i | −0.876744 | − | 0.636992i | ||||
\(9\) | 2.38072 | + | 1.72969i | 0.793573 | + | 0.576565i | ||||
\(10\) | 0.669036 | + | 2.05908i | 0.211568 | + | 0.651138i | ||||
\(11\) | 4.41639 | − | 3.20870i | 1.33159 | − | 0.967459i | 0.331884 | − | 0.943320i | \(-0.392316\pi\) |
0.999709 | − | 0.0241383i | \(-0.00768421\pi\) | |||||||
\(12\) | 0.0382502 | + | 0.117722i | 0.0110419 | + | 0.0339834i | ||||
\(13\) | 0.455967 | − | 1.40332i | 0.126462 | − | 0.389211i | −0.867702 | − | 0.497084i | \(-0.834404\pi\) |
0.994165 | + | 0.107873i | \(0.0344040\pi\) | |||||||
\(14\) | 0.196788 | + | 0.142975i | 0.0525939 | + | 0.0382117i | ||||
\(15\) | 0.131483 | − | 0.404664i | 0.0339489 | − | 0.104484i | ||||
\(16\) | −0.833720 | + | 2.56593i | −0.208430 | + | 0.641482i | ||||
\(17\) | −0.809017 | − | 0.587785i | −0.196215 | − | 0.142559i | ||||
\(18\) | 1.10731 | − | 3.40794i | 0.260995 | − | 0.803259i | ||||
\(19\) | −1.73093 | − | 5.32725i | −0.397102 | − | 1.22215i | −0.927312 | − | 0.374288i | \(-0.877887\pi\) |
0.530210 | − | 0.847866i | \(-0.322113\pi\) | |||||||
\(20\) | −0.744018 | + | 0.540561i | −0.166368 | + | 0.120873i | ||||
\(21\) | −0.0147722 | − | 0.0454642i | −0.00322356 | − | 0.00992110i | ||||
\(22\) | −5.37778 | − | 3.90718i | −1.14655 | − | 0.833014i | ||||
\(23\) | −7.23855 | − | 5.25912i | −1.50934 | − | 1.09660i | −0.966468 | − | 0.256788i | \(-0.917336\pi\) |
−0.542875 | − | 0.839814i | \(-0.682664\pi\) | |||||||
\(24\) | 0.593437 | − | 0.431157i | 0.121135 | − | 0.0880096i | ||||
\(25\) | −1.83872 | −0.367743 | ||||||||
\(26\) | −1.79674 | −0.352370 | ||||||||
\(27\) | −1.15054 | + | 0.835914i | −0.221421 | + | 0.160872i | ||||
\(28\) | −0.0319288 | + | 0.0982668i | −0.00603398 | + | 0.0185707i | ||||
\(29\) | 1.55371 | + | 4.78184i | 0.288517 | + | 0.887965i | 0.985322 | + | 0.170704i | \(0.0546043\pi\) |
−0.696805 | + | 0.717261i | \(0.745396\pi\) | |||||||
\(30\) | −0.518112 | −0.0945939 | ||||||||
\(31\) | 4.57132 | − | 3.17853i | 0.821033 | − | 0.570880i | ||||
\(32\) | −2.84513 | −0.502953 | ||||||||
\(33\) | 0.403691 | + | 1.24243i | 0.0702736 | + | 0.216280i | ||||
\(34\) | −0.376285 | + | 1.15809i | −0.0645324 | + | 0.198610i | ||||
\(35\) | 0.287340 | − | 0.208765i | 0.0485693 | − | 0.0352877i | ||||
\(36\) | 1.52211 | 0.253684 | ||||||||
\(37\) | 10.4793 | 1.72279 | 0.861396 | − | 0.507933i | \(-0.169590\pi\) | ||||
0.861396 | + | 0.507933i | \(0.169590\pi\) | |||||||
\(38\) | −5.51810 | + | 4.00913i | −0.895153 | + | 0.650367i | ||||
\(39\) | 0.285670 | + | 0.207552i | 0.0457439 | + | 0.0332349i | ||||
\(40\) | 4.40910 | + | 3.20340i | 0.697139 | + | 0.506501i | ||||
\(41\) | −3.45554 | − | 10.6350i | −0.539664 | − | 1.66092i | −0.733349 | − | 0.679852i | \(-0.762044\pi\) |
0.193685 | − | 0.981064i | \(-0.437956\pi\) | |||||||
\(42\) | −0.0470929 | + | 0.0342150i | −0.00726660 | + | 0.00527949i | ||||
\(43\) | 0.499597 | + | 1.53760i | 0.0761878 | + | 0.234482i | 0.981896 | − | 0.189419i | \(-0.0606605\pi\) |
−0.905709 | + | 0.423901i | \(0.860660\pi\) | |||||||
\(44\) | 0.872542 | − | 2.68541i | 0.131541 | − | 0.404841i | ||||
\(45\) | −4.23292 | − | 3.07540i | −0.631007 | − | 0.458453i | ||||
\(46\) | −3.36676 | + | 10.3618i | −0.496401 | + | 1.52777i | ||||
\(47\) | 0.491048 | − | 1.51129i | 0.0716267 | − | 0.220444i | −0.908834 | − | 0.417157i | \(-0.863027\pi\) |
0.980461 | + | 0.196712i | \(0.0630265\pi\) | |||||||
\(48\) | −0.522339 | − | 0.379501i | −0.0753931 | − | 0.0547763i | ||||
\(49\) | −2.15079 | + | 6.61944i | −0.307255 | + | 0.945635i | ||||
\(50\) | 0.691882 | + | 2.12939i | 0.0978469 | + | 0.301142i | ||||
\(51\) | 0.193604 | − | 0.140662i | 0.0271100 | − | 0.0196966i | ||||
\(52\) | −0.235845 | − | 0.725857i | −0.0327059 | − | 0.100658i | ||||
\(53\) | −4.61935 | − | 3.35616i | −0.634517 | − | 0.461004i | 0.223445 | − | 0.974717i | \(-0.428270\pi\) |
−0.857962 | + | 0.513713i | \(0.828270\pi\) | |||||||
\(54\) | 1.40099 | + | 1.01788i | 0.190651 | + | 0.138516i | ||||
\(55\) | −7.85235 | + | 5.70506i | −1.05881 | + | 0.769271i | ||||
\(56\) | 0.612303 | 0.0818224 | ||||||||
\(57\) | 1.34046 | 0.177548 | ||||||||
\(58\) | 4.95315 | − | 3.59867i | 0.650380 | − | 0.472529i | ||||
\(59\) | −0.428033 | + | 1.31735i | −0.0557252 | + | 0.171505i | −0.975045 | − | 0.222006i | \(-0.928740\pi\) |
0.919320 | + | 0.393511i | \(0.128740\pi\) | |||||||
\(60\) | −0.0680088 | − | 0.209310i | −0.00877990 | − | 0.0270218i | ||||
\(61\) | 3.71271 | 0.475364 | 0.237682 | − | 0.971343i | \(-0.423612\pi\) | ||||
0.237682 | + | 0.971343i | \(0.423612\pi\) | |||||||
\(62\) | −5.40113 | − | 4.09796i | −0.685945 | − | 0.520441i | ||||
\(63\) | −0.587837 | −0.0740605 | ||||||||
\(64\) | 2.73802 | + | 8.42677i | 0.342253 | + | 1.05335i | ||||
\(65\) | −0.810709 | + | 2.49511i | −0.100556 | + | 0.309480i | ||||
\(66\) | 1.28694 | − | 0.935019i | 0.158412 | − | 0.115093i | ||||
\(67\) | −2.38128 | −0.290920 | −0.145460 | − | 0.989364i | \(-0.546466\pi\) | ||||
−0.145460 | + | 0.989364i | \(0.546466\pi\) | |||||||
\(68\) | −0.517242 | −0.0627249 | ||||||||
\(69\) | 1.73224 | − | 1.25855i | 0.208537 | − | 0.151511i | ||||
\(70\) | −0.349889 | − | 0.254210i | −0.0418198 | − | 0.0303839i | ||||
\(71\) | 5.86105 | + | 4.25830i | 0.695579 | + | 0.505368i | 0.878489 | − | 0.477762i | \(-0.158552\pi\) |
−0.182910 | + | 0.983130i | \(0.558552\pi\) | |||||||
\(72\) | −2.78736 | − | 8.57861i | −0.328494 | − | 1.01100i | ||||
\(73\) | 0.160910 | − | 0.116908i | 0.0188331 | − | 0.0136830i | −0.578329 | − | 0.815804i | \(-0.696295\pi\) |
0.597162 | + | 0.802121i | \(0.296295\pi\) | |||||||
\(74\) | −3.94322 | − | 12.1360i | −0.458390 | − | 1.41078i | ||||
\(75\) | 0.135973 | − | 0.418483i | 0.0157008 | − | 0.0483222i | ||||
\(76\) | −2.34395 | − | 1.70298i | −0.268870 | − | 0.195345i | ||||
\(77\) | −0.336976 | + | 1.03710i | −0.0384020 | + | 0.118189i | ||||
\(78\) | 0.132869 | − | 0.408930i | 0.0150445 | − | 0.0463022i | ||||
\(79\) | 11.3142 | + | 8.22025i | 1.27295 | + | 0.924850i | 0.999316 | − | 0.0369842i | \(-0.0117751\pi\) |
0.273631 | + | 0.961835i | \(0.411775\pi\) | |||||||
\(80\) | 1.48235 | − | 4.56222i | 0.165732 | − | 0.510072i | ||||
\(81\) | 2.62289 | + | 8.07244i | 0.291433 | + | 0.896938i | ||||
\(82\) | −11.0161 | + | 8.00363i | −1.21652 | + | 0.883853i | ||||
\(83\) | −0.432705 | − | 1.33173i | −0.0474955 | − | 0.146176i | 0.924496 | − | 0.381191i | \(-0.124486\pi\) |
−0.971992 | + | 0.235015i | \(0.924486\pi\) | |||||||
\(84\) | −0.0200039 | − | 0.0145337i | −0.00218261 | − | 0.00158576i | ||||
\(85\) | 1.43843 | + | 1.04508i | 0.156020 | + | 0.113355i | ||||
\(86\) | 1.59269 | − | 1.15715i | 0.171744 | − | 0.124779i | ||||
\(87\) | −1.20322 | −0.128999 | ||||||||
\(88\) | −16.7329 | −1.78373 | ||||||||
\(89\) | 8.62465 | − | 6.26618i | 0.914211 | − | 0.664213i | −0.0278651 | − | 0.999612i | \(-0.508871\pi\) |
0.942076 | + | 0.335398i | \(0.108871\pi\) | |||||||
\(90\) | −1.96879 | + | 6.05932i | −0.207529 | + | 0.638708i | ||||
\(91\) | 0.0910834 | + | 0.280326i | 0.00954814 | + | 0.0293861i | ||||
\(92\) | −4.62795 | −0.482497 | ||||||||
\(93\) | 0.385367 | + | 1.27546i | 0.0399607 | + | 0.132259i | ||||
\(94\) | −1.93498 | −0.199578 | ||||||||
\(95\) | 3.07759 | + | 9.47185i | 0.315754 | + | 0.971791i | ||||
\(96\) | 0.210398 | − | 0.647539i | 0.0214737 | − | 0.0660892i | ||||
\(97\) | 5.17845 | − | 3.76236i | 0.525791 | − | 0.382010i | −0.292990 | − | 0.956116i | \(-0.594650\pi\) |
0.818781 | + | 0.574106i | \(0.194650\pi\) | |||||||
\(98\) | 8.47521 | 0.856125 | ||||||||
\(99\) | 16.0643 | 1.61452 | ||||||||
\(100\) | −0.769425 | + | 0.559020i | −0.0769425 | + | 0.0559020i | ||||
\(101\) | −4.91332 | − | 3.56974i | −0.488894 | − | 0.355202i | 0.315865 | − | 0.948804i | \(-0.397705\pi\) |
−0.804759 | + | 0.593602i | \(0.797705\pi\) | |||||||
\(102\) | −0.235749 | − | 0.171282i | −0.0233426 | − | 0.0169594i | ||||
\(103\) | 0.132155 | + | 0.406731i | 0.0130216 | + | 0.0400764i | 0.957356 | − | 0.288910i | \(-0.0932929\pi\) |
−0.944335 | + | 0.328987i | \(0.893293\pi\) | |||||||
\(104\) | −3.65905 | + | 2.65846i | −0.358799 | + | 0.260683i | ||||
\(105\) | 0.0262650 | + | 0.0808353i | 0.00256320 | + | 0.00788872i | ||||
\(106\) | −2.14853 | + | 6.61249i | −0.208684 | + | 0.642262i | ||||
\(107\) | 5.38236 | + | 3.91051i | 0.520332 | + | 0.378044i | 0.816729 | − | 0.577021i | \(-0.195785\pi\) |
−0.296397 | + | 0.955065i | \(0.595785\pi\) | |||||||
\(108\) | −0.227311 | + | 0.699590i | −0.0218730 | + | 0.0673181i | ||||
\(109\) | −5.50617 | + | 16.9463i | −0.527396 | + | 1.62316i | 0.232133 | + | 0.972684i | \(0.425429\pi\) |
−0.759529 | + | 0.650473i | \(0.774571\pi\) | |||||||
\(110\) | 9.56169 | + | 6.94697i | 0.911671 | + | 0.662368i | ||||
\(111\) | −0.774949 | + | 2.38505i | −0.0735549 | + | 0.226379i | ||||
\(112\) | −0.166543 | − | 0.512567i | −0.0157368 | − | 0.0484330i | ||||
\(113\) | 4.17928 | − | 3.03642i | 0.393153 | − | 0.285643i | −0.373593 | − | 0.927593i | \(-0.621874\pi\) |
0.766746 | + | 0.641950i | \(0.221874\pi\) | |||||||
\(114\) | −0.504395 | − | 1.55237i | −0.0472409 | − | 0.145393i | ||||
\(115\) | 12.8701 | + | 9.35071i | 1.20015 | + | 0.871958i | ||||
\(116\) | 2.10397 | + | 1.52863i | 0.195349 | + | 0.141929i | ||||
\(117\) | 3.51285 | − | 2.55223i | 0.324763 | − | 0.235954i | ||||
\(118\) | 1.68667 | 0.155271 | ||||||||
\(119\) | 0.199759 | 0.0183119 | ||||||||
\(120\) | −1.05513 | + | 0.766598i | −0.0963198 | + | 0.0699805i | ||||
\(121\) | 5.80960 | − | 17.8801i | 0.528145 | − | 1.62546i | ||||
\(122\) | −1.39704 | − | 4.29964i | −0.126482 | − | 0.389271i | ||||
\(123\) | 2.67602 | 0.241289 | ||||||||
\(124\) | 0.946546 | − | 2.71989i | 0.0850024 | − | 0.244253i | ||||
\(125\) | 12.1592 | 1.08756 | ||||||||
\(126\) | 0.221195 | + | 0.680767i | 0.0197056 | + | 0.0606475i | ||||
\(127\) | −0.781318 | + | 2.40465i | −0.0693308 | + | 0.213378i | −0.979719 | − | 0.200377i | \(-0.935783\pi\) |
0.910388 | + | 0.413756i | \(0.135783\pi\) | |||||||
\(128\) | 4.12513 | − | 2.99709i | 0.364614 | − | 0.264907i | ||||
\(129\) | −0.386896 | −0.0340643 | ||||||||
\(130\) | 3.19461 | 0.280186 | ||||||||
\(131\) | 5.15658 | − | 3.74647i | 0.450532 | − | 0.327331i | −0.339274 | − | 0.940688i | \(-0.610181\pi\) |
0.789806 | + | 0.613357i | \(0.210181\pi\) | |||||||
\(132\) | 0.546662 | + | 0.397173i | 0.0475808 | + | 0.0345695i | ||||
\(133\) | 0.905233 | + | 0.657690i | 0.0784937 | + | 0.0570290i | ||||
\(134\) | 0.896043 | + | 2.75774i | 0.0774063 | + | 0.238232i | ||||
\(135\) | 2.04565 | − | 1.48626i | 0.176062 | − | 0.127916i | ||||
\(136\) | 0.947202 | + | 2.91519i | 0.0812219 | + | 0.249975i | ||||
\(137\) | −5.70366 | + | 17.5541i | −0.487297 | + | 1.49975i | 0.341329 | + | 0.939944i | \(0.389123\pi\) |
−0.828626 | + | 0.559802i | \(0.810877\pi\) | |||||||
\(138\) | −2.10933 | − | 1.53251i | −0.179558 | − | 0.130456i | ||||
\(139\) | 4.85167 | − | 14.9319i | 0.411513 | − | 1.26651i | −0.503819 | − | 0.863809i | \(-0.668072\pi\) |
0.915333 | − | 0.402699i | \(-0.131928\pi\) | |||||||
\(140\) | 0.0567694 | − | 0.174718i | 0.00479789 | − | 0.0147664i | ||||
\(141\) | 0.307650 | + | 0.223520i | 0.0259088 | + | 0.0188238i | ||||
\(142\) | 2.72606 | − | 8.38995i | 0.228766 | − | 0.704069i | ||||
\(143\) | −2.48910 | − | 7.66068i | −0.208149 | − | 0.640618i | ||||
\(144\) | −6.42312 | + | 4.66667i | −0.535260 | + | 0.388889i | ||||
\(145\) | −2.76250 | − | 8.50211i | −0.229413 | − | 0.706061i | ||||
\(146\) | −0.195937 | − | 0.142357i | −0.0162159 | − | 0.0117815i | ||||
\(147\) | −1.34750 | − | 0.979018i | −0.111140 | − | 0.0807481i | ||||
\(148\) | 4.38516 | − | 3.18601i | 0.360458 | − | 0.261888i | ||||
\(149\) | −16.1260 | −1.32109 | −0.660545 | − | 0.750786i | \(-0.729675\pi\) | ||||
−0.660545 | + | 0.750786i | \(0.729675\pi\) | |||||||
\(150\) | −0.535805 | −0.0437483 | ||||||||
\(151\) | −7.22653 | + | 5.25038i | −0.588087 | + | 0.427270i | −0.841630 | − | 0.540054i | \(-0.818404\pi\) |
0.253544 | + | 0.967324i | \(0.418404\pi\) | |||||||
\(152\) | −5.30566 | + | 16.3291i | −0.430345 | + | 1.32447i | ||||
\(153\) | −0.909354 | − | 2.79870i | −0.0735169 | − | 0.226262i | ||||
\(154\) | 1.32786 | 0.107002 | ||||||||
\(155\) | −8.12781 | + | 5.65142i | −0.652841 | + | 0.453933i | ||||
\(156\) | 0.182642 | 0.0146231 | ||||||||
\(157\) | 6.36067 | + | 19.5761i | 0.507637 | + | 1.56234i | 0.796292 | + | 0.604912i | \(0.206792\pi\) |
−0.288656 | + | 0.957433i | \(0.593208\pi\) | |||||||
\(158\) | 5.26240 | − | 16.1960i | 0.418654 | − | 1.28848i | ||||
\(159\) | 1.10545 | − | 0.803155i | 0.0876677 | − | 0.0636943i | ||||
\(160\) | 5.05865 | 0.399921 | ||||||||
\(161\) | 1.78731 | 0.140860 | ||||||||
\(162\) | 8.36164 | − | 6.07508i | 0.656952 | − | 0.477304i | ||||
\(163\) | 14.6234 | + | 10.6245i | 1.14539 | + | 0.832174i | 0.987861 | − | 0.155340i | \(-0.0496473\pi\) |
0.157529 | + | 0.987514i | \(0.449647\pi\) | |||||||
\(164\) | −4.67934 | − | 3.39974i | −0.365395 | − | 0.265475i | ||||
\(165\) | −0.717763 | − | 2.20905i | −0.0558778 | − | 0.171974i | ||||
\(166\) | −1.37944 | + | 1.00222i | −0.107065 | + | 0.0777874i | ||||
\(167\) | 1.42820 | + | 4.39554i | 0.110517 | + | 0.340137i | 0.990986 | − | 0.133968i | \(-0.0427719\pi\) |
−0.880469 | + | 0.474105i | \(0.842772\pi\) | |||||||
\(168\) | −0.0452799 | + | 0.139357i | −0.00349342 | + | 0.0107516i | ||||
\(169\) | 8.75582 | + | 6.36147i | 0.673524 | + | 0.489344i | ||||
\(170\) | 0.669036 | − | 2.05908i | 0.0513127 | − | 0.157924i | ||||
\(171\) | 5.09366 | − | 15.6767i | 0.389522 | − | 1.19882i | ||||
\(172\) | 0.676533 | + | 0.491530i | 0.0515852 | + | 0.0374788i | ||||
\(173\) | −4.19524 | + | 12.9116i | −0.318958 | + | 0.981653i | 0.655136 | + | 0.755511i | \(0.272611\pi\) |
−0.974094 | + | 0.226142i | \(0.927389\pi\) | |||||||
\(174\) | 0.452754 | + | 1.39343i | 0.0343232 | + | 0.105636i | ||||
\(175\) | 0.297152 | − | 0.215893i | 0.0224626 | − | 0.0163200i | ||||
\(176\) | 4.55125 | + | 14.0073i | 0.343063 | + | 1.05584i | ||||
\(177\) | −0.268170 | − | 0.194837i | −0.0201569 | − | 0.0146448i | ||||
\(178\) | −10.5021 | − | 7.63023i | −0.787167 | − | 0.571910i | ||||
\(179\) | 12.4747 | − | 9.06339i | 0.932402 | − | 0.677429i | −0.0141780 | − | 0.999899i | \(-0.504513\pi\) |
0.946580 | + | 0.322470i | \(0.104513\pi\) | |||||||
\(180\) | −2.70630 | −0.201716 | ||||||||
\(181\) | −23.8252 | −1.77091 | −0.885457 | − | 0.464722i | \(-0.846154\pi\) | ||||
−0.885457 | + | 0.464722i | \(0.846154\pi\) | |||||||
\(182\) | 0.290369 | − | 0.210965i | 0.0215236 | − | 0.0156378i | ||||
\(183\) | −0.274556 | + | 0.844995i | −0.0202957 | + | 0.0624638i | ||||
\(184\) | 8.47494 | + | 26.0832i | 0.624781 | + | 1.92288i | ||||
\(185\) | −18.6323 | −1.36987 | ||||||||
\(186\) | 1.33209 | − | 0.926227i | 0.0976736 | − | 0.0679143i | ||||
\(187\) | −5.45896 | −0.399199 | ||||||||
\(188\) | −0.253991 | − | 0.781704i | −0.0185242 | − | 0.0570116i | ||||
\(189\) | 0.0877873 | − | 0.270181i | 0.00638559 | − | 0.0196528i | ||||
\(190\) | 9.81118 | − | 7.12824i | 0.711778 | − | 0.517137i | ||||
\(191\) | 11.3763 | 0.823163 | 0.411581 | − | 0.911373i | \(-0.364977\pi\) | ||||
0.411581 | + | 0.911373i | \(0.364977\pi\) | |||||||
\(192\) | −2.12037 | −0.153024 | ||||||||
\(193\) | 18.1802 | − | 13.2087i | 1.30864 | − | 0.950780i | 0.308637 | − | 0.951180i | \(-0.400127\pi\) |
1.00000 | 0.000399665i | \(0.000127217\pi\) | ||||||||
\(194\) | −6.30572 | − | 4.58137i | −0.452724 | − | 0.328923i | ||||
\(195\) | −0.507922 | − | 0.369027i | −0.0363730 | − | 0.0264266i | ||||
\(196\) | 1.11248 | + | 3.42386i | 0.0794628 | + | 0.244561i | ||||
\(197\) | −9.72309 | + | 7.06424i | −0.692741 | + | 0.503306i | −0.877560 | − | 0.479466i | \(-0.840830\pi\) |
0.184819 | + | 0.982773i | \(0.440830\pi\) | |||||||
\(198\) | −6.04475 | − | 18.6038i | −0.429581 | − | 1.32212i | ||||
\(199\) | 0.546738 | − | 1.68269i | 0.0387572 | − | 0.119282i | −0.929806 | − | 0.368050i | \(-0.880026\pi\) |
0.968563 | + | 0.248768i | \(0.0800255\pi\) | |||||||
\(200\) | 4.55966 | + | 3.31279i | 0.322417 | + | 0.234249i | ||||
\(201\) | 0.176096 | − | 0.541969i | 0.0124209 | − | 0.0382275i | ||||
\(202\) | −2.28526 | + | 7.03330i | −0.160790 | + | 0.494861i | ||||
\(203\) | −0.812554 | − | 0.590355i | −0.0570301 | − | 0.0414348i | ||||
\(204\) | 0.0382502 | − | 0.117722i | 0.00267805 | − | 0.00824218i | ||||
\(205\) | 6.14395 | + | 18.9091i | 0.429112 | + | 1.32067i | ||||
\(206\) | 0.421302 | − | 0.306094i | 0.0293535 | − | 0.0213266i | ||||
\(207\) | −8.13630 | − | 25.0410i | −0.565512 | − | 1.74047i | ||||
\(208\) | 3.22067 | + | 2.33995i | 0.223313 | + | 0.162247i | ||||
\(209\) | −24.7380 | − | 17.9732i | −1.71116 | − | 1.24323i | ||||
\(210\) | 0.0837313 | − | 0.0608343i | 0.00577801 | − | 0.00419797i | ||||
\(211\) | −5.65487 | −0.389297 | −0.194649 | − | 0.980873i | \(-0.562357\pi\) | ||||
−0.194649 | + | 0.980873i | \(0.562357\pi\) | |||||||
\(212\) | −2.95337 | −0.202838 | ||||||||
\(213\) | −1.40260 | + | 1.01905i | −0.0961043 | + | 0.0698238i | ||||
\(214\) | 2.50341 | − | 7.70471i | 0.171130 | − | 0.526683i | ||||
\(215\) | −0.888283 | − | 2.73385i | −0.0605804 | − | 0.186447i | ||||
\(216\) | 4.35916 | 0.296603 | ||||||||
\(217\) | −0.365556 | + | 1.05042i | −0.0248156 | + | 0.0713071i | ||||
\(218\) | 21.6971 | 1.46952 | ||||||||
\(219\) | 0.0147083 | + | 0.0452676i | 0.000993898 | + | 0.00305890i | ||||
\(220\) | −1.55138 | + | 4.77466i | −0.104594 | + | 0.321907i | ||||
\(221\) | −1.19374 | + | 0.867300i | −0.0802994 | + | 0.0583409i | ||||
\(222\) | 3.05370 | 0.204951 | ||||||||
\(223\) | −7.32415 | −0.490461 | −0.245231 | − | 0.969465i | \(-0.578864\pi\) | ||||
−0.245231 | + | 0.969465i | \(0.578864\pi\) | |||||||
\(224\) | 0.459797 | − | 0.334062i | 0.0307215 | − | 0.0223205i | ||||
\(225\) | −4.37747 | − | 3.18042i | −0.291831 | − | 0.212028i | ||||
\(226\) | −5.08904 | − | 3.69741i | −0.338518 | − | 0.245948i | ||||
\(227\) | 2.73057 | + | 8.40382i | 0.181234 | + | 0.557781i | 0.999863 | − | 0.0165414i | \(-0.00526554\pi\) |
−0.818629 | + | 0.574323i | \(0.805266\pi\) | |||||||
\(228\) | 0.560926 | − | 0.407536i | 0.0371482 | − | 0.0269897i | ||||
\(229\) | 2.09978 | + | 6.46245i | 0.138757 | + | 0.427051i | 0.996155 | − | 0.0876027i | \(-0.0279206\pi\) |
−0.857398 | + | 0.514653i | \(0.827921\pi\) | |||||||
\(230\) | 5.98609 | − | 18.4233i | 0.394711 | − | 1.21480i | ||||
\(231\) | −0.211121 | − | 0.153388i | −0.0138907 | − | 0.0100922i | ||||
\(232\) | 4.76246 | − | 14.6573i | 0.312670 | − | 0.962301i | ||||
\(233\) | 5.90586 | − | 18.1764i | 0.386906 | − | 1.19077i | −0.548182 | − | 0.836359i | \(-0.684680\pi\) |
0.935088 | − | 0.354415i | \(-0.115320\pi\) | |||||||
\(234\) | −4.27754 | − | 3.10781i | −0.279632 | − | 0.203164i | ||||
\(235\) | −0.873084 | + | 2.68708i | −0.0569537 | + | 0.175285i | ||||
\(236\) | 0.221397 | + | 0.681390i | 0.0144117 | + | 0.0443547i | ||||
\(237\) | −2.70758 | + | 1.96717i | −0.175876 | + | 0.127781i | ||||
\(238\) | −0.0751664 | − | 0.231338i | −0.00487231 | − | 0.0149954i | ||||
\(239\) | 2.34985 | + | 1.70726i | 0.151999 | + | 0.110434i | 0.661185 | − | 0.750223i | \(-0.270054\pi\) |
−0.509187 | + | 0.860656i | \(0.670054\pi\) | |||||||
\(240\) | 0.928719 | + | 0.674754i | 0.0599485 | + | 0.0435552i | ||||
\(241\) | −12.1666 | + | 8.83958i | −0.783722 | + | 0.569408i | −0.906094 | − | 0.423077i | \(-0.860950\pi\) |
0.122371 | + | 0.992484i | \(0.460950\pi\) | |||||||
\(242\) | −22.8928 | −1.47161 | ||||||||
\(243\) | −6.29764 | −0.403994 | ||||||||
\(244\) | 1.55361 | − | 1.12877i | 0.0994599 | − | 0.0722618i | ||||
\(245\) | 3.82410 | − | 11.7694i | 0.244313 | − | 0.751918i | ||||
\(246\) | −1.00695 | − | 3.09907i | −0.0642007 | − | 0.197590i | ||||
\(247\) | −8.26508 | −0.525895 | ||||||||
\(248\) | −17.0627 | − | 0.353951i | −1.08348 | − | 0.0224759i | ||||
\(249\) | 0.335094 | 0.0212357 | ||||||||
\(250\) | −4.57534 | − | 14.0815i | −0.289370 | − | 0.890590i | ||||
\(251\) | −7.70800 | + | 23.7228i | −0.486525 | + | 1.49737i | 0.343236 | + | 0.939249i | \(0.388477\pi\) |
−0.829761 | + | 0.558120i | \(0.811523\pi\) | |||||||
\(252\) | −0.245985 | + | 0.178719i | −0.0154956 | + | 0.0112582i | ||||
\(253\) | −48.8432 | −3.07075 | ||||||||
\(254\) | 3.07879 | 0.193181 | ||||||||
\(255\) | −0.344228 | + | 0.250096i | −0.0215564 | + | 0.0156616i | ||||
\(256\) | 9.31336 | + | 6.76655i | 0.582085 | + | 0.422909i | ||||
\(257\) | −16.7731 | − | 12.1863i | −1.04627 | − | 0.760163i | −0.0747739 | − | 0.997201i | \(-0.523823\pi\) |
−0.971500 | + | 0.237038i | \(0.923823\pi\) | |||||||
\(258\) | 0.145583 | + | 0.448059i | 0.00906362 | + | 0.0278949i | ||||
\(259\) | −1.69355 | + | 1.23044i | −0.105232 | + | 0.0764555i | ||||
\(260\) | 0.419333 | + | 1.29057i | 0.0260059 | + | 0.0800380i | ||||
\(261\) | −4.57216 | + | 14.0717i | −0.283010 | + | 0.871014i | ||||
\(262\) | −6.27909 | − | 4.56203i | −0.387924 | − | 0.281843i | ||||
\(263\) | −4.32462 | + | 13.3098i | −0.266667 | + | 0.820717i | 0.724637 | + | 0.689130i | \(0.242007\pi\) |
−0.991305 | + | 0.131587i | \(0.957993\pi\) | |||||||
\(264\) | 1.23740 | − | 3.80832i | 0.0761566 | − | 0.234386i | ||||
\(265\) | 8.21321 | + | 5.96725i | 0.504534 | + | 0.366565i | ||||
\(266\) | 0.421037 | − | 1.29582i | 0.0258154 | − | 0.0794517i | ||||
\(267\) | 0.788357 | + | 2.42631i | 0.0482467 | + | 0.148488i | ||||
\(268\) | −0.996467 | + | 0.723976i | −0.0608689 | + | 0.0442239i | ||||
\(269\) | 6.69581 | + | 20.6076i | 0.408251 | + | 1.25647i | 0.918150 | + | 0.396233i | \(0.129683\pi\) |
−0.509899 | + | 0.860234i | \(0.670317\pi\) | |||||||
\(270\) | −2.49096 | − | 1.80979i | −0.151595 | − | 0.110140i | ||||
\(271\) | −25.7994 | − | 18.7444i | −1.56720 | − | 1.13864i | −0.929774 | − | 0.368132i | \(-0.879998\pi\) |
−0.637430 | − | 0.770508i | \(-0.720002\pi\) | |||||||
\(272\) | 2.18271 | − | 1.58583i | 0.132346 | − | 0.0961551i | ||||
\(273\) | −0.0705365 | −0.00426906 | ||||||||
\(274\) | 22.4754 | 1.35779 | ||||||||
\(275\) | −8.12049 | + | 5.89988i | −0.489684 | + | 0.355776i | ||||
\(276\) | 0.342237 | − | 1.05330i | 0.0206003 | − | 0.0634011i | ||||
\(277\) | −4.06760 | − | 12.5188i | −0.244398 | − | 0.752180i | −0.995735 | − | 0.0922613i | \(-0.970591\pi\) |
0.751337 | − | 0.659919i | \(-0.229409\pi\) | |||||||
\(278\) | −19.1181 | −1.14663 | ||||||||
\(279\) | 16.3809 | + | 0.339808i | 0.980700 | + | 0.0203438i | ||||
\(280\) | −1.08867 | −0.0650608 | ||||||||
\(281\) | −8.04158 | − | 24.7494i | −0.479721 | − | 1.47643i | −0.839484 | − | 0.543385i | \(-0.817143\pi\) |
0.359763 | − | 0.933044i | \(-0.382857\pi\) | |||||||
\(282\) | 0.143092 | − | 0.440393i | 0.00852102 | − | 0.0262250i | ||||
\(283\) | 21.5688 | − | 15.6706i | 1.28213 | − | 0.931523i | 0.282516 | − | 0.959263i | \(-0.408831\pi\) |
0.999615 | + | 0.0277396i | \(0.00883094\pi\) | |||||||
\(284\) | 3.74725 | 0.222358 | ||||||||
\(285\) | −2.38334 | −0.141177 | ||||||||
\(286\) | −7.93512 | + | 5.76520i | −0.469213 | + | 0.340904i | ||||
\(287\) | 1.80716 | + | 1.31298i | 0.106673 | + | 0.0775028i | ||||
\(288\) | −6.77347 | − | 4.92121i | −0.399130 | − | 0.289985i | ||||
\(289\) | 0.309017 | + | 0.951057i | 0.0181775 | + | 0.0559445i | ||||
\(290\) | −8.80669 | + | 6.39844i | −0.517147 | + | 0.375729i | ||||
\(291\) | 0.473348 | + | 1.45682i | 0.0277482 | + | 0.0854001i | ||||
\(292\) | 0.0317908 | − | 0.0978420i | 0.00186042 | − | 0.00572577i | ||||
\(293\) | 20.3866 | + | 14.8117i | 1.19100 | + | 0.865309i | 0.993369 | − | 0.114969i | \(-0.0366768\pi\) |
0.197626 | + | 0.980277i | \(0.436677\pi\) | |||||||
\(294\) | −0.626743 | + | 1.92892i | −0.0365524 | + | 0.112497i | ||||
\(295\) | 0.761043 | − | 2.34225i | 0.0443097 | − | 0.136371i | ||||
\(296\) | −25.9867 | − | 18.8805i | −1.51045 | − | 1.09740i | ||||
\(297\) | −2.39903 | + | 7.38345i | −0.139206 | + | 0.428431i | ||||
\(298\) | 6.06796 | + | 18.6753i | 0.351508 | + | 1.08183i | ||||
\(299\) | −10.6808 | + | 7.76003i | −0.617685 | + | 0.448774i | ||||
\(300\) | −0.0703312 | − | 0.216457i | −0.00406057 | − | 0.0124972i | ||||
\(301\) | −0.261277 | − | 0.189829i | −0.0150598 | − | 0.0109416i | ||||
\(302\) | 8.79964 | + | 6.39331i | 0.506362 | + | 0.367894i | ||||
\(303\) | 1.17580 | − | 0.854266i | 0.0675477 | − | 0.0490763i | ||||
\(304\) | 15.1124 | 0.866758 | ||||||||
\(305\) | −6.60120 | −0.377984 | ||||||||
\(306\) | −2.89897 | + | 2.10622i | −0.165723 | + | 0.120405i | ||||
\(307\) | 6.18208 | − | 19.0265i | 0.352830 | − | 1.08590i | −0.604427 | − | 0.796660i | \(-0.706598\pi\) |
0.957257 | − | 0.289238i | \(-0.0934020\pi\) | |||||||
\(308\) | 0.174298 | + | 0.536435i | 0.00993156 | + | 0.0305662i | ||||
\(309\) | −0.102343 | −0.00582208 | ||||||||
\(310\) | 9.60321 | + | 7.28617i | 0.545426 | + | 0.413827i | ||||
\(311\) | 2.88523 | 0.163607 | 0.0818033 | − | 0.996648i | \(-0.473932\pi\) | ||||
0.0818033 | + | 0.996648i | \(0.473932\pi\) | |||||||
\(312\) | −0.334464 | − | 1.02938i | −0.0189353 | − | 0.0582769i | ||||
\(313\) | 5.41701 | − | 16.6718i | 0.306187 | − | 0.942348i | −0.673044 | − | 0.739602i | \(-0.735014\pi\) |
0.979231 | − | 0.202746i | \(-0.0649865\pi\) | |||||||
\(314\) | 20.2774 | − | 14.7324i | 1.14432 | − | 0.831399i | ||||
\(315\) | 1.04517 | 0.0588889 | ||||||||
\(316\) | 7.23370 | 0.406927 | ||||||||
\(317\) | −13.4919 | + | 9.80247i | −0.757783 | + | 0.550561i | −0.898229 | − | 0.439527i | \(-0.855146\pi\) |
0.140447 | + | 0.990088i | \(0.455146\pi\) | |||||||
\(318\) | −1.34609 | − | 0.977990i | −0.0754848 | − | 0.0548429i | ||||
\(319\) | 22.2053 | + | 16.1331i | 1.24326 | + | 0.903279i | ||||
\(320\) | −4.86820 | − | 14.9828i | −0.272141 | − | 0.837564i | ||||
\(321\) | −1.28804 | + | 0.935816i | −0.0718914 | + | 0.0522322i | ||||
\(322\) | −0.672540 | − | 2.06986i | −0.0374792 | − | 0.115349i | ||||
\(323\) | −1.73093 | + | 5.32725i | −0.0963114 | + | 0.296416i | ||||
\(324\) | 3.55181 | + | 2.58054i | 0.197323 | + | 0.143364i | ||||
\(325\) | −0.838393 | + | 2.58031i | −0.0465057 | + | 0.143130i | ||||
\(326\) | 6.80153 | − | 20.9330i | 0.376702 | − | 1.15937i | ||||
\(327\) | −3.44971 | − | 2.50636i | −0.190769 | − | 0.138602i | ||||
\(328\) | −10.5919 | + | 32.5987i | −0.584842 | + | 1.79996i | ||||
\(329\) | 0.0980913 | + | 0.301894i | 0.00540795 | + | 0.0166440i | ||||
\(330\) | −2.28819 | + | 1.66246i | −0.125961 | + | 0.0915157i | ||||
\(331\) | 3.12470 | + | 9.61684i | 0.171749 | + | 0.528589i | 0.999470 | − | 0.0325506i | \(-0.0103630\pi\) |
−0.827721 | + | 0.561140i | \(0.810363\pi\) | |||||||
\(332\) | −0.585951 | − | 0.425718i | −0.0321582 | − | 0.0233643i | ||||
\(333\) | 24.9484 | + | 18.1261i | 1.36716 | + | 0.993302i | ||||
\(334\) | 4.55301 | − | 3.30795i | 0.249129 | − | 0.181003i | ||||
\(335\) | 4.23392 | 0.231324 | ||||||||
\(336\) | 0.128974 | 0.00703609 | ||||||||
\(337\) | 0.137700 | − | 0.100045i | 0.00750101 | − | 0.00544980i | −0.584028 | − | 0.811733i | \(-0.698524\pi\) |
0.591529 | + | 0.806283i | \(0.298524\pi\) | |||||||
\(338\) | 4.07246 | − | 12.5337i | 0.221512 | − | 0.681745i | ||||
\(339\) | 0.382017 | + | 1.17573i | 0.0207483 | + | 0.0638567i | ||||
\(340\) | 0.919657 | 0.0498754 | ||||||||
\(341\) | 9.98982 | − | 28.7056i | 0.540979 | − | 1.55450i | ||||
\(342\) | −20.0716 | −1.08535 | ||||||||
\(343\) | −0.861742 | − | 2.65217i | −0.0465297 | − | 0.143204i | ||||
\(344\) | 1.53137 | − | 4.71307i | 0.0825659 | − | 0.254112i | ||||
\(345\) | −3.07993 | + | 2.23770i | −0.165818 | + | 0.120474i | ||||
\(346\) | 16.5314 | 0.888734 | ||||||||
\(347\) | 15.4448 | 0.829120 | 0.414560 | − | 0.910022i | \(-0.363936\pi\) | ||||
0.414560 | + | 0.910022i | \(0.363936\pi\) | |||||||
\(348\) | −0.503497 | + | 0.365812i | −0.0269903 | + | 0.0196096i | ||||
\(349\) | −5.12666 | − | 3.72474i | −0.274424 | − | 0.199381i | 0.442058 | − | 0.896987i | \(-0.354249\pi\) |
−0.716482 | + | 0.697606i | \(0.754249\pi\) | |||||||
\(350\) | −0.361837 | − | 0.262890i | −0.0193410 | − | 0.0140521i | ||||
\(351\) | 0.648449 | + | 1.99572i | 0.0346117 | + | 0.106524i | ||||
\(352\) | −12.5652 | + | 9.12917i | −0.669729 | + | 0.486586i | ||||
\(353\) | 0.581150 | + | 1.78859i | 0.0309315 | + | 0.0951973i | 0.965330 | − | 0.261031i | \(-0.0840625\pi\) |
−0.934399 | + | 0.356228i | \(0.884063\pi\) | |||||||
\(354\) | −0.124730 | + | 0.383878i | −0.00662930 | + | 0.0204029i | ||||
\(355\) | −10.4210 | − | 7.57127i | −0.553087 | − | 0.401841i | ||||
\(356\) | 1.70396 | − | 5.24426i | 0.0903099 | − | 0.277945i | ||||
\(357\) | −0.0147722 | + | 0.0454642i | −0.000781828 | + | 0.00240622i | ||||
\(358\) | −15.1902 | − | 11.0364i | −0.802829 | − | 0.583289i | ||||
\(359\) | 6.21907 | − | 19.1403i | 0.328230 | − | 1.01019i | −0.641731 | − | 0.766930i | \(-0.721784\pi\) |
0.969961 | − | 0.243259i | \(-0.0782164\pi\) | |||||||
\(360\) | 4.95593 | + | 15.2528i | 0.261200 | + | 0.803892i | ||||
\(361\) | −10.0121 | + | 7.27424i | −0.526954 | + | 0.382855i | ||||
\(362\) | 8.96508 | + | 27.5917i | 0.471194 | + | 1.45019i | ||||
\(363\) | 3.63981 | + | 2.64447i | 0.191040 | + | 0.138799i | ||||
\(364\) | 0.123341 | + | 0.0896128i | 0.00646485 | + | 0.00469699i | ||||
\(365\) | −0.286098 | + | 0.207862i | −0.0149750 | + | 0.0108800i | ||||
\(366\) | 1.08189 | 0.0565513 | ||||||||
\(367\) | −20.6712 | −1.07903 | −0.539513 | − | 0.841977i | \(-0.681392\pi\) | ||||
−0.539513 | + | 0.841977i | \(0.681392\pi\) | |||||||
\(368\) | 19.5294 | − | 14.1890i | 1.01804 | − | 0.739651i | ||||
\(369\) | 10.1687 | − | 31.2961i | 0.529362 | − | 1.62921i | ||||
\(370\) | 7.01105 | + | 21.5778i | 0.364487 | + | 1.12178i | ||||
\(371\) | 1.14059 | 0.0592165 | ||||||||
\(372\) | 0.549036 | + | 0.416566i | 0.0284662 | + | 0.0215979i | ||||
\(373\) | −17.0920 | −0.884991 | −0.442496 | − | 0.896771i | \(-0.645907\pi\) | ||||
−0.442496 | + | 0.896771i | \(0.645907\pi\) | |||||||
\(374\) | 2.05413 | + | 6.32196i | 0.106216 | + | 0.326901i | ||||
\(375\) | −0.899178 | + | 2.76738i | −0.0464333 | + | 0.142907i | ||||
\(376\) | −3.94057 | + | 2.86300i | −0.203220 | + | 0.147648i | ||||
\(377\) | 7.41889 | 0.382092 | ||||||||
\(378\) | −0.345927 | −0.0177926 | ||||||||
\(379\) | 21.5113 | − | 15.6289i | 1.10496 | − | 0.802801i | 0.123098 | − | 0.992394i | \(-0.460717\pi\) |
0.981863 | + | 0.189593i | \(0.0607169\pi\) | |||||||
\(380\) | 4.16754 | + | 3.02790i | 0.213790 | + | 0.155328i | ||||
\(381\) | −0.489508 | − | 0.355649i | −0.0250783 | − | 0.0182204i | ||||
\(382\) | −4.28075 | − | 13.1748i | −0.219022 | − | 0.674081i | ||||
\(383\) | −4.49859 | + | 3.26841i | −0.229867 | + | 0.167008i | −0.696757 | − | 0.717307i | \(-0.745374\pi\) |
0.466890 | + | 0.884315i | \(0.345374\pi\) | |||||||
\(384\) | 0.377068 | + | 1.16050i | 0.0192422 | + | 0.0592213i | ||||
\(385\) | 0.599143 | − | 1.84397i | 0.0305352 | − | 0.0939775i | ||||
\(386\) | −22.1377 | − | 16.0840i | −1.12678 | − | 0.818654i | ||||
\(387\) | −1.47018 | + | 4.52475i | −0.0747334 | + | 0.230006i | ||||
\(388\) | 1.02310 | − | 3.14878i | 0.0519401 | − | 0.159855i | ||||
\(389\) | −2.78238 | − | 2.02152i | −0.141072 | − | 0.102495i | 0.515011 | − | 0.857184i | \(-0.327788\pi\) |
−0.656083 | + | 0.754689i | \(0.727788\pi\) | |||||||
\(390\) | −0.236242 | + | 0.727078i | −0.0119626 | + | 0.0368170i | ||||
\(391\) | 2.76488 | + | 8.50943i | 0.139826 | + | 0.430340i | ||||
\(392\) | 17.2597 | − | 12.5399i | 0.871746 | − | 0.633361i | ||||
\(393\) | 0.471350 | + | 1.45067i | 0.0237764 | + | 0.0731764i | ||||
\(394\) | 11.8397 | + | 8.60202i | 0.596474 | + | 0.433363i | ||||
\(395\) | −20.1167 | − | 14.6156i | −1.01218 | − | 0.735391i | ||||
\(396\) | 6.72222 | − | 4.88398i | 0.337804 | − | 0.245429i | ||||
\(397\) | −13.9725 | −0.701259 | −0.350629 | − | 0.936514i | \(-0.614032\pi\) | ||||
−0.350629 | + | 0.936514i | \(0.614032\pi\) | |||||||
\(398\) | −2.15443 | −0.107992 | ||||||||
\(399\) | −0.216629 | + | 0.157390i | −0.0108450 | + | 0.00787938i | ||||
\(400\) | 1.53297 | − | 4.71801i | 0.0766487 | − | 0.235900i | ||||
\(401\) | 5.12275 | + | 15.7662i | 0.255818 | + | 0.787326i | 0.993667 | + | 0.112361i | \(0.0358414\pi\) |
−0.737850 | + | 0.674965i | \(0.764159\pi\) | |||||||
\(402\) | −0.693910 | −0.0346091 | ||||||||
\(403\) | −2.37612 | − | 7.86433i | −0.118363 | − | 0.391750i | ||||
\(404\) | −3.14132 | −0.156286 | ||||||||
\(405\) | −4.66351 | − | 14.3528i | −0.231732 | − | 0.713196i | ||||
\(406\) | −0.377931 | + | 1.16315i | −0.0187564 | + | 0.0577262i | ||||
\(407\) | 46.2809 | − | 33.6250i | 2.29406 | − | 1.66673i | ||||
\(408\) | −0.733528 | −0.0363151 | ||||||||
\(409\) | −8.15547 | −0.403262 | −0.201631 | − | 0.979462i | \(-0.564624\pi\) | ||||
−0.201631 | + | 0.979462i | \(0.564624\pi\) | |||||||
\(410\) | 19.5865 | − | 14.2305i | 0.967310 | − | 0.702792i | ||||
\(411\) | −3.57344 | − | 2.59625i | −0.176265 | − | 0.128064i | ||||
\(412\) | 0.178959 | + | 0.130021i | 0.00881666 | + | 0.00640568i | ||||
\(413\) | −0.0855035 | − | 0.263153i | −0.00420735 | − | 0.0129489i | ||||
\(414\) | −25.9381 | + | 18.8451i | −1.27479 | + | 0.926186i | ||||
\(415\) | 0.769349 | + | 2.36781i | 0.0377659 | + | 0.116231i | ||||
\(416\) | −1.29729 | + | 3.99264i | −0.0636047 | + | 0.195755i | ||||
\(417\) | 3.03965 | + | 2.20843i | 0.148852 | + | 0.108147i | ||||
\(418\) | −11.5060 | + | 35.4118i | −0.562776 | + | 1.73205i | ||||
\(419\) | 4.70716 | − | 14.4872i | 0.229960 | − | 0.707744i | −0.767790 | − | 0.640701i | \(-0.778644\pi\) |
0.997750 | − | 0.0670425i | \(-0.0213563\pi\) | |||||||
\(420\) | 0.0355670 | + | 0.0258409i | 0.00173549 | + | 0.00126091i | ||||
\(421\) | 1.15327 | − | 3.54940i | 0.0562070 | − | 0.172987i | −0.919012 | − | 0.394230i | \(-0.871011\pi\) |
0.975219 | + | 0.221243i | \(0.0710113\pi\) | |||||||
\(422\) | 2.12784 | + | 6.54883i | 0.103582 | + | 0.318792i | ||||
\(423\) | 3.78312 | − | 2.74860i | 0.183942 | − | 0.133641i | ||||
\(424\) | 5.40837 | + | 16.6452i | 0.262653 | + | 0.808364i | ||||
\(425\) | 1.48755 | + | 1.08077i | 0.0721569 | + | 0.0524250i | ||||
\(426\) | 1.70792 | + | 1.24088i | 0.0827490 | + | 0.0601207i | ||||
\(427\) | −0.600005 | + | 0.435929i | −0.0290363 | + | 0.0210961i | ||||
\(428\) | 3.44119 | 0.166336 | ||||||||
\(429\) | 1.92760 | 0.0930655 | ||||||||
\(430\) | −2.83179 | + | 2.05742i | −0.136561 | + | 0.0992176i | ||||
\(431\) | −5.55882 | + | 17.1083i | −0.267759 | + | 0.824077i | 0.723286 | + | 0.690548i | \(0.242631\pi\) |
−0.991045 | + | 0.133528i | \(0.957369\pi\) | |||||||
\(432\) | −1.18567 | − | 3.64911i | −0.0570455 | − | 0.175568i | ||||
\(433\) | 16.8123 | 0.807945 | 0.403973 | − | 0.914771i | \(-0.367629\pi\) | ||||
0.403973 | + | 0.914771i | \(0.367629\pi\) | |||||||
\(434\) | 1.35403 | + | 0.0280883i | 0.0649956 | + | 0.00134828i | ||||
\(435\) | 2.13933 | 0.102573 | ||||||||
\(436\) | 2.84803 | + | 8.76533i | 0.136396 | + | 0.419783i | ||||
\(437\) | −15.4872 | + | 47.6647i | −0.740854 | + | 2.28011i | ||||
\(438\) | 0.0468894 | − | 0.0340671i | 0.00224046 | − | 0.00162779i | ||||
\(439\) | 23.2212 | 1.10829 | 0.554144 | − | 0.832421i | \(-0.313046\pi\) | ||||
0.554144 | + | 0.832421i | \(0.313046\pi\) | |||||||
\(440\) | 29.7510 | 1.41832 | ||||||||
\(441\) | −16.5700 | + | 12.0388i | −0.789050 | + | 0.573278i | ||||
\(442\) | 1.45360 | + | 1.05610i | 0.0691405 | + | 0.0502335i | ||||
\(443\) | −6.26858 | − | 4.55439i | −0.297829 | − | 0.216386i | 0.428827 | − | 0.903386i | \(-0.358927\pi\) |
−0.726657 | + | 0.687001i | \(0.758927\pi\) | |||||||
\(444\) | 0.400836 | + | 1.23365i | 0.0190229 | + | 0.0585463i | ||||
\(445\) | −15.3346 | + | 11.1413i | −0.726931 | + | 0.528147i | ||||
\(446\) | 2.75597 | + | 8.48200i | 0.130499 | + | 0.401635i | ||||
\(447\) | 1.19252 | − | 3.67019i | 0.0564041 | − | 0.173594i | ||||
\(448\) | −1.43192 | − | 1.04035i | −0.0676518 | − | 0.0491519i | ||||
\(449\) | −1.59431 | + | 4.90679i | −0.0752402 | + | 0.231566i | −0.981603 | − | 0.190936i | \(-0.938848\pi\) |
0.906362 | + | 0.422501i | \(0.138848\pi\) | |||||||
\(450\) | −2.03602 | + | 6.26623i | −0.0959790 | + | 0.295393i | ||||
\(451\) | −49.3857 | − | 35.8808i | −2.32548 | − | 1.68956i | ||||
\(452\) | 0.825696 | − | 2.54123i | 0.0388375 | − | 0.119529i | ||||
\(453\) | −0.660559 | − | 2.03299i | −0.0310358 | − | 0.0955182i | ||||
\(454\) | 8.70489 | − | 6.32447i | 0.408541 | − | 0.296822i | ||||
\(455\) | −0.161946 | − | 0.498420i | −0.00759216 | − | 0.0233663i | ||||
\(456\) | −3.32408 | − | 2.41508i | −0.155664 | − | 0.113097i | ||||
\(457\) | 19.4922 | + | 14.1619i | 0.911807 | + | 0.662467i | 0.941471 | − | 0.337093i | \(-0.109444\pi\) |
−0.0296642 | + | 0.999560i | \(0.509444\pi\) | |||||||
\(458\) | 6.69397 | − | 4.86345i | 0.312789 | − | 0.227254i | ||||
\(459\) | 1.42214 | 0.0663799 | ||||||||
\(460\) | 8.22849 | 0.383655 | ||||||||
\(461\) | 16.1297 | − | 11.7189i | 0.751233 | − | 0.545803i | −0.144976 | − | 0.989435i | \(-0.546310\pi\) |
0.896209 | + | 0.443632i | \(0.146310\pi\) | |||||||
\(462\) | −0.0981953 | + | 0.302214i | −0.00456846 | + | 0.0140603i | ||||
\(463\) | 3.89284 | + | 11.9809i | 0.180916 | + | 0.556802i | 0.999854 | − | 0.0170799i | \(-0.00543698\pi\) |
−0.818938 | + | 0.573882i | \(0.805437\pi\) | |||||||
\(464\) | −13.5652 | −0.629749 | ||||||||
\(465\) | −0.685183 | − | 2.26777i | −0.0317746 | − | 0.105166i | ||||
\(466\) | −23.2721 | −1.07806 | ||||||||
\(467\) | 0.536439 | + | 1.65099i | 0.0248234 | + | 0.0763986i | 0.962701 | − | 0.270568i | \(-0.0872116\pi\) |
−0.937877 | + | 0.346967i | \(0.887212\pi\) | |||||||
\(468\) | 0.694030 | − | 2.13600i | 0.0320815 | − | 0.0987368i | ||||
\(469\) | 0.384836 | − | 0.279599i | 0.0177701 | − | 0.0129107i | ||||
\(470\) | 3.44040 | 0.158694 | ||||||||
\(471\) | −4.92580 | −0.226969 | ||||||||
\(472\) | 3.43489 | − | 2.49559i | 0.158104 | − | 0.114869i | ||||
\(473\) | 7.14011 | + | 5.18759i | 0.328303 | + | 0.238526i | ||||
\(474\) | 3.29698 | + | 2.39539i | 0.151435 | + | 0.110024i | ||||
\(475\) | 3.18268 | + | 9.79529i | 0.146032 | + | 0.449439i | ||||
\(476\) | 0.0835907 | − | 0.0607322i | 0.00383137 | − | 0.00278366i | ||||
\(477\) | −5.19226 | − | 15.9801i | −0.237737 | − | 0.731680i | ||||
\(478\) | 1.09295 | − | 3.36375i | 0.0499902 | − | 0.153854i | ||||
\(479\) | 33.6753 | + | 24.4665i | 1.53866 | + | 1.11790i | 0.951168 | + | 0.308675i | \(0.0998855\pi\) |
0.587494 | + | 0.809228i | \(0.300115\pi\) | |||||||
\(480\) | −0.374088 | + | 1.15132i | −0.0170747 | + | 0.0525505i | ||||
\(481\) | 4.77823 | − | 14.7059i | 0.217868 | − | 0.670530i | ||||
\(482\) | 14.8151 | + | 10.7638i | 0.674811 | + | 0.490279i | ||||
\(483\) | −0.132172 | + | 0.406784i | −0.00601404 | + | 0.0185093i | ||||
\(484\) | −3.00497 | − | 9.24835i | −0.136590 | − | 0.420380i | ||||
\(485\) | −9.20728 | + | 6.68948i | −0.418081 | + | 0.303754i | ||||
\(486\) | 2.36971 | + | 7.29322i | 0.107492 | + | 0.330827i | ||||
\(487\) | 0.0580922 | + | 0.0422065i | 0.00263241 | + | 0.00191256i | 0.589101 | − | 0.808060i | \(-0.299482\pi\) |
−0.586468 | + | 0.809972i | \(0.699482\pi\) | |||||||
\(488\) | −9.20680 | − | 6.68913i | −0.416772 | − | 0.302803i | ||||
\(489\) | −3.49948 | + | 2.54252i | −0.158252 | + | 0.114977i | ||||
\(490\) | −15.0689 | −0.680744 | ||||||||
\(491\) | 28.2983 | 1.27708 | 0.638542 | − | 0.769587i | \(-0.279538\pi\) | ||||
0.638542 | + | 0.769587i | \(0.279538\pi\) | |||||||
\(492\) | 1.11980 | − | 0.813585i | 0.0504846 | − | 0.0366792i | ||||
\(493\) | 1.55371 | − | 4.78184i | 0.0699757 | − | 0.215363i | ||||
\(494\) | 3.11003 | + | 9.57169i | 0.139927 | + | 0.430651i | ||||
\(495\) | −28.5623 | −1.28378 | ||||||||
\(496\) | 4.34466 | + | 14.3797i | 0.195081 | + | 0.645667i | ||||
\(497\) | −1.44719 | −0.0649152 | ||||||||
\(498\) | −0.126091 | − | 0.388068i | −0.00565027 | − | 0.0173897i | ||||
\(499\) | 7.54410 | − | 23.2184i | 0.337720 | − | 1.03940i | −0.627646 | − | 0.778499i | \(-0.715981\pi\) |
0.965366 | − | 0.260898i | \(-0.0840186\pi\) | |||||||
\(500\) | 5.08813 | − | 3.69674i | 0.227548 | − | 0.165323i | ||||
\(501\) | −1.10602 | −0.0494133 | ||||||||
\(502\) | 30.3735 | 1.35563 | ||||||||
\(503\) | 30.5047 | − | 22.1630i | 1.36014 | − | 0.988197i | 0.361701 | − | 0.932294i | \(-0.382196\pi\) |
0.998436 | − | 0.0559030i | \(-0.0178038\pi\) | |||||||
\(504\) | 1.45772 | + | 1.05910i | 0.0649321 | + | 0.0471759i | ||||
\(505\) | 8.73589 | + | 6.34699i | 0.388742 | + | 0.282438i | ||||
\(506\) | 18.3790 | + | 56.5647i | 0.817046 | + | 2.51461i | ||||
\(507\) | −2.09534 | + | 1.52235i | −0.0930571 | + | 0.0676099i | ||||
\(508\) | 0.404131 | + | 1.24379i | 0.0179304 | + | 0.0551841i | ||||
\(509\) | −8.63231 | + | 26.5675i | −0.382620 | + | 1.17758i | 0.555571 | + | 0.831469i | \(0.312500\pi\) |
−0.938192 | + | 0.346116i | \(0.887500\pi\) | |||||||
\(510\) | 0.419161 | + | 0.304539i | 0.0185608 | + | 0.0134852i | ||||
\(511\) | −0.0122776 | + | 0.0377866i | −0.000543129 | + | 0.00167158i | ||||
\(512\) | 7.48310 | − | 23.0306i | 0.330709 | − | 1.01782i | ||||
\(513\) | 6.44462 | + | 4.68229i | 0.284537 | + | 0.206728i | ||||
\(514\) | −7.80139 | + | 24.0102i | −0.344104 | + | 1.05904i | ||||
\(515\) | −0.234971 | − | 0.723167i | −0.0103541 | − | 0.0318666i | ||||
\(516\) | −0.161900 | + | 0.117627i | −0.00712723 | + | 0.00517824i | ||||
\(517\) | −2.68061 | − | 8.25008i | −0.117893 | − | 0.362838i | ||||
\(518\) | 2.06221 | + | 1.49828i | 0.0906083 | + | 0.0658308i | ||||
\(519\) | −2.62839 | − | 1.90963i | −0.115373 | − | 0.0838237i | ||||
\(520\) | 6.50579 | − | 4.72674i | 0.285298 | − | 0.207281i | ||||
\(521\) | −17.7074 | −0.775774 | −0.387887 | − | 0.921707i | \(-0.626795\pi\) | ||||
−0.387887 | + | 0.921707i | \(0.626795\pi\) | |||||||
\(522\) | 18.0167 | 0.788568 | ||||||||
\(523\) | 3.89900 | − | 2.83279i | 0.170491 | − | 0.123869i | −0.499267 | − | 0.866448i | \(-0.666397\pi\) |
0.669759 | + | 0.742579i | \(0.266397\pi\) | |||||||
\(524\) | 1.01878 | − | 3.13548i | 0.0445056 | − | 0.136974i | ||||
\(525\) | 0.0271619 | + | 0.0835957i | 0.00118544 | + | 0.00364842i | ||||
\(526\) | 17.0412 | 0.743032 | ||||||||
\(527\) | −5.56657 | − | 0.115474i | −0.242483 | − | 0.00503012i | ||||
\(528\) | −3.52456 | −0.153387 | ||||||||
\(529\) | 17.6310 | + | 54.2625i | 0.766563 | + | 2.35924i | ||||
\(530\) | 3.82008 | − | 11.7570i | 0.165934 | − | 0.510692i | ||||
\(531\) | −3.29764 | + | 2.39588i | −0.143106 | + | 0.103972i | ||||
\(532\) | 0.578758 | 0.0250923 | ||||||||
\(533\) | −16.5000 | −0.714694 | ||||||||
\(534\) | 2.51324 | − | 1.82597i | 0.108758 | − | 0.0790176i | ||||
\(535\) | −9.56984 | − | 6.95289i | −0.413740 | − | 0.300600i | ||||
\(536\) | 5.90512 | + | 4.29032i | 0.255063 | + | 0.185314i | ||||
\(537\) | 1.14028 | + | 3.50942i | 0.0492067 | + | 0.151443i | ||||
\(538\) | 21.3459 | − | 15.5087i | 0.920286 | − | 0.668627i | ||||
\(539\) | 11.7411 | + | 36.1353i | 0.505724 | + | 1.55646i | ||||
\(540\) | 0.404158 | − | 1.24387i | 0.0173922 | − | 0.0535277i | ||||
\(541\) | −9.16307 | − | 6.65736i | −0.393951 | − | 0.286222i | 0.373122 | − | 0.927782i | \(-0.378287\pi\) |
−0.767073 | + | 0.641560i | \(0.778287\pi\) | |||||||
\(542\) | −11.9997 | + | 36.9312i | −0.515431 | + | 1.58633i | ||||
\(543\) | 1.76188 | − | 5.42250i | 0.0756094 | − | 0.232702i | ||||
\(544\) | 2.30176 | + | 1.67233i | 0.0986872 | + | 0.0717005i | ||||
\(545\) | 9.78998 | − | 30.1305i | 0.419357 | − | 1.29065i | ||||
\(546\) | 0.0265419 | + | 0.0816874i | 0.00113589 | + | 0.00349590i | ||||
\(547\) | −30.7609 | + | 22.3491i | −1.31524 | + | 0.955579i | −0.315263 | + | 0.949004i | \(0.602093\pi\) |
−0.999978 | + | 0.00657462i | \(0.997907\pi\) | |||||||
\(548\) | 2.95018 | + | 9.07971i | 0.126025 | + | 0.387866i | ||||
\(549\) | 8.83892 | + | 6.42185i | 0.377236 | + | 0.274078i | ||||
\(550\) | 9.88820 | + | 7.18420i | 0.421634 | + | 0.306335i | ||||
\(551\) | 22.7847 | − | 16.5540i | 0.970659 | − | 0.705225i | ||||
\(552\) | −6.56313 | −0.279345 | ||||||||
\(553\) | −2.79365 | −0.118798 | ||||||||
\(554\) | −12.9673 | + | 9.42127i | −0.550926 | + | 0.400271i | ||||
\(555\) | 1.37786 | − | 4.24061i | 0.0584869 | − | 0.180004i | ||||
\(556\) | −2.50949 | − | 7.72342i | −0.106426 | − | 0.327546i | ||||
\(557\) | −42.6565 | −1.80741 | −0.903707 | − | 0.428151i | \(-0.859165\pi\) | ||||
−0.903707 | + | 0.428151i | \(0.859165\pi\) | |||||||
\(558\) | −5.77037 | − | 19.0984i | −0.244279 | − | 0.808500i | ||||
\(559\) | 2.38555 | 0.100898 | ||||||||
\(560\) | 0.296114 | + | 0.911344i | 0.0125131 | + | 0.0385113i | ||||
\(561\) | 0.403691 | − | 1.24243i | 0.0170439 | − | 0.0524556i | ||||
\(562\) | −25.6361 | + | 18.6257i | −1.08139 | + | 0.785678i | ||||
\(563\) | −26.8921 | −1.13337 | −0.566683 | − | 0.823936i | \(-0.691773\pi\) | ||||
−0.566683 | + | 0.823936i | \(0.691773\pi\) | |||||||
\(564\) | 0.196695 | 0.00828234 | ||||||||
\(565\) | −7.43075 | + | 5.39876i | −0.312614 | + | 0.227128i | ||||
\(566\) | −26.2640 | − | 19.0819i | −1.10396 | − | 0.802072i | ||||
\(567\) | −1.37171 | − | 0.996606i | −0.0576064 | − | 0.0418535i | ||||
\(568\) | −6.86215 | − | 21.1195i | −0.287930 | − | 0.886156i | ||||
\(569\) | −21.6052 | + | 15.6971i | −0.905739 | + | 0.658058i | −0.939934 | − | 0.341358i | \(-0.889113\pi\) |
0.0341949 | + | 0.999415i | \(0.489113\pi\) | |||||||
\(570\) | 0.896814 | + | 2.76011i | 0.0375634 | + | 0.115608i | ||||
\(571\) | −3.20136 | + | 9.85277i | −0.133973 | + | 0.412326i | −0.995429 | − | 0.0955064i | \(-0.969553\pi\) |
0.861456 | + | 0.507832i | \(0.169553\pi\) | |||||||
\(572\) | −3.37064 | − | 2.44891i | −0.140934 | − | 0.102394i | ||||
\(573\) | −0.841282 | + | 2.58920i | −0.0351451 | + | 0.108165i | ||||
\(574\) | 0.840537 | − | 2.58691i | 0.0350833 | − | 0.107975i | ||||
\(575\) | 13.3096 | + | 9.67002i | 0.555050 | + | 0.403268i | ||||
\(576\) | −8.05727 | + | 24.7977i | −0.335719 | + | 1.03324i | ||||
\(577\) | 11.2257 | + | 34.5492i | 0.467333 | + | 1.43830i | 0.856024 | + | 0.516936i | \(0.172927\pi\) |
−0.388691 | + | 0.921368i | \(0.627073\pi\) | |||||||
\(578\) | 0.985128 | − | 0.715737i | 0.0409759 | − | 0.0297708i | ||||
\(579\) | 1.66180 | + | 5.11450i | 0.0690621 | + | 0.212551i | ||||
\(580\) | −3.74086 | − | 2.71790i | −0.155331 | − | 0.112855i | ||||
\(581\) | 0.226294 | + | 0.164412i | 0.00938826 | + | 0.00682097i | ||||
\(582\) | 1.50901 | − | 1.09636i | 0.0625504 | − | 0.0454455i | ||||
\(583\) | −31.1698 | −1.29092 | ||||||||
\(584\) | −0.609656 | −0.0252277 | ||||||||
\(585\) | −6.24584 | + | 4.53787i | −0.258234 | + | 0.187618i | ||||
\(586\) | 9.48208 | − | 29.1828i | 0.391701 | − | 1.20553i | ||||
\(587\) | 8.85084 | + | 27.2401i | 0.365313 | + | 1.12432i | 0.949785 | + | 0.312904i | \(0.101302\pi\) |
−0.584471 | + | 0.811414i | \(0.698698\pi\) | |||||||
\(588\) | −0.861522 | −0.0355286 | ||||||||
\(589\) | −24.8454 | − | 18.8508i | −1.02374 | − | 0.776732i | ||||
\(590\) | −2.99890 | −0.123463 | ||||||||
\(591\) | −0.888763 | − | 2.73533i | −0.0365588 | − | 0.112516i | ||||
\(592\) | −8.73684 | + | 26.8892i | −0.359082 | + | 1.10514i | ||||
\(593\) | 32.1665 | − | 23.3703i | 1.32092 | − | 0.959705i | 0.321001 | − | 0.947079i | \(-0.395981\pi\) |
0.999920 | − | 0.0126262i | \(-0.00401915\pi\) | |||||||
\(594\) | 9.45340 | 0.387878 | ||||||||
\(595\) | −0.355171 | −0.0145606 | ||||||||
\(596\) | −6.74804 | + | 4.90274i | −0.276410 | + | 0.200824i | ||||
\(597\) | 0.342540 | + | 0.248870i | 0.0140192 | + | 0.0101856i | ||||
\(598\) | 13.0058 | + | 9.44928i | 0.531847 | + | 0.386410i | ||||
\(599\) | 0.0942623 | + | 0.290110i | 0.00385145 | + | 0.0118536i | 0.952964 | − | 0.303084i | \(-0.0980163\pi\) |
−0.949112 | + | 0.314938i | \(0.898016\pi\) | |||||||
\(600\) | −1.09116 | + | 0.792775i | −0.0445465 | + | 0.0323649i | ||||
\(601\) | −11.3033 | − | 34.7881i | −0.461072 | − | 1.41903i | −0.863856 | − | 0.503739i | \(-0.831957\pi\) |
0.402784 | − | 0.915295i | \(-0.368043\pi\) | |||||||
\(602\) | −0.121524 | + | 0.374011i | −0.00495294 | + | 0.0152436i | ||||
\(603\) | −5.66917 | − | 4.11889i | −0.230867 | − | 0.167734i | ||||
\(604\) | −1.42774 | + | 4.39413i | −0.0580939 | + | 0.178795i | ||||
\(605\) | −10.3295 | + | 31.7908i | −0.419953 | + | 1.29248i | ||||
\(606\) | −1.43175 | − | 1.04023i | −0.0581609 | − | 0.0422563i | ||||
\(607\) | 7.87786 | − | 24.2456i | 0.319752 | − | 0.984097i | −0.654002 | − | 0.756493i | \(-0.726911\pi\) |
0.973754 | − | 0.227603i | \(-0.0730890\pi\) | |||||||
\(608\) | 4.92472 | + | 15.1567i | 0.199724 | + | 0.614687i | ||||
\(609\) | 0.194451 | − | 0.141277i | 0.00787953 | − | 0.00572482i | ||||
\(610\) | 2.48394 | + | 7.64477i | 0.100572 | + | 0.309528i | ||||
\(611\) | −1.89693 | − | 1.37820i | −0.0767414 | − | 0.0557559i | ||||
\(612\) | −1.23141 | − | 0.894671i | −0.0497768 | − | 0.0361649i | ||||
\(613\) | −1.60620 | + | 1.16697i | −0.0648737 | + | 0.0471335i | −0.619749 | − | 0.784800i | \(-0.712766\pi\) |
0.554876 | + | 0.831933i | \(0.312766\pi\) | |||||||
\(614\) | −24.3606 | −0.983112 | ||||||||
\(615\) | −4.75797 | −0.191860 | ||||||||
\(616\) | 2.70417 | − | 1.96470i | 0.108954 | − | 0.0791598i | ||||
\(617\) | 2.32028 | − | 7.14110i | 0.0934111 | − | 0.287490i | −0.893425 | − | 0.449212i | \(-0.851705\pi\) |
0.986836 | + | 0.161722i | \(0.0517048\pi\) | |||||||
\(618\) | 0.0385101 | + | 0.118522i | 0.00154910 | + | 0.00476765i | ||||
\(619\) | −25.3824 | −1.02020 | −0.510102 | − | 0.860114i | \(-0.670392\pi\) | ||||
−0.510102 | + | 0.860114i | \(0.670392\pi\) | |||||||
\(620\) | −1.68296 | + | 4.83596i | −0.0675893 | + | 0.194217i | ||||
\(621\) | 12.7244 | 0.510612 | ||||||||
\(622\) | −1.08567 | − | 3.34135i | −0.0435315 | − | 0.133976i | ||||
\(623\) | −0.658071 | + | 2.02533i | −0.0263650 | + | 0.0811433i | ||||
\(624\) | −0.770732 | + | 0.559969i | −0.0308540 | + | 0.0224167i | ||||
\(625\) | −12.4255 | −0.497022 | ||||||||
\(626\) | −21.3458 | −0.853149 | ||||||||
\(627\) | 5.91999 | − | 4.30113i | 0.236422 | − | 0.171770i | ||||
\(628\) | 8.61335 | + | 6.25797i | 0.343710 | + | 0.249720i | ||||
\(629\) | −8.47796 | − | 6.15960i | −0.338039 | − | 0.245599i | ||||
\(630\) | −0.393284 | − | 1.21040i | −0.0156688 | − | 0.0482236i | ||||
\(631\) | 33.6782 | − | 24.4686i | 1.34071 | − | 0.974081i | 0.341290 | − | 0.939958i | \(-0.389136\pi\) |
0.999418 | − | 0.0341228i | \(-0.0108637\pi\) | |||||||
\(632\) | −13.2467 | − | 40.7693i | −0.526927 | − | 1.62171i | ||||
\(633\) | 0.418178 | − | 1.28702i | 0.0166211 | − | 0.0511545i | ||||
\(634\) | 16.4289 | + | 11.9363i | 0.652476 | + | 0.474052i | ||||
\(635\) | 1.38918 | − | 4.27547i | 0.0551281 | − | 0.169667i | ||||
\(636\) | 0.218402 | − | 0.672173i | 0.00866021 | − | 0.0266534i | ||||
\(637\) | 8.30852 | + | 6.03649i | 0.329196 | + | 0.239175i | ||||
\(638\) | 10.3280 | − | 31.7863i | 0.408889 | − | 1.25843i | ||||
\(639\) | 6.58796 | + | 20.2757i | 0.260616 | + | 0.802093i | ||||
\(640\) | −7.33449 | + | 5.32882i | −0.289921 | + | 0.210640i | ||||
\(641\) | −14.8672 | − | 45.7566i | −0.587220 | − | 1.80728i | −0.590166 | − | 0.807282i | \(-0.700938\pi\) |
0.00294610 | − | 0.999996i | \(-0.499062\pi\) | |||||||
\(642\) | 1.56843 | + | 1.13953i | 0.0619009 | + | 0.0449736i | ||||
\(643\) | −23.8302 | − | 17.3137i | −0.939772 | − | 0.682784i | 0.00859384 | − | 0.999963i | \(-0.497264\pi\) |
−0.948366 | + | 0.317179i | \(0.897264\pi\) | |||||||
\(644\) | 0.747915 | − | 0.543392i | 0.0294720 | − | 0.0214126i | ||||
\(645\) | 0.687901 | 0.0270861 | ||||||||
\(646\) | 6.82074 | 0.268359 | ||||||||
\(647\) | 16.2427 | − | 11.8010i | 0.638568 | − | 0.463947i | −0.220790 | − | 0.975321i | \(-0.570864\pi\) |
0.859358 | + | 0.511375i | \(0.170864\pi\) | |||||||
\(648\) | 8.03972 | − | 24.7437i | 0.315830 | − | 0.972025i | ||||
\(649\) | 2.33662 | + | 7.19137i | 0.0917203 | + | 0.282286i | ||||
\(650\) | 3.30370 | 0.129582 | ||||||||
\(651\) | −0.212038 | − | 0.160878i | −0.00831041 | − | 0.00630529i | ||||
\(652\) | 9.34940 | 0.366151 | ||||||||
\(653\) | 9.08720 | + | 27.9675i | 0.355610 | + | 1.09445i | 0.955655 | + | 0.294488i | \(0.0951490\pi\) |
−0.600046 | + | 0.799966i | \(0.704851\pi\) | |||||||
\(654\) | −1.60451 | + | 4.93817i | −0.0627412 | + | 0.193098i | ||||
\(655\) | −9.16840 | + | 6.66123i | −0.358239 | + | 0.260276i | ||||
\(656\) | 30.1697 | 1.17793 | ||||||||
\(657\) | 0.585296 | 0.0228346 | ||||||||
\(658\) | 0.312709 | − | 0.227197i | 0.0121907 | − | 0.00885705i | ||||
\(659\) | 14.5674 | + | 10.5838i | 0.567465 | + | 0.412288i | 0.834184 | − | 0.551487i | \(-0.185939\pi\) |
−0.266718 | + | 0.963775i | \(0.585939\pi\) | |||||||
\(660\) | −0.971965 | − | 0.706174i | −0.0378337 | − | 0.0274878i | ||||
\(661\) | −1.68569 | − | 5.18803i | −0.0655658 | − | 0.201791i | 0.912907 | − | 0.408169i | \(-0.133832\pi\) |
−0.978472 | + | 0.206378i | \(0.933832\pi\) | |||||||
\(662\) | 9.96136 | − | 7.23735i | 0.387159 | − | 0.281288i | ||||
\(663\) | −0.109116 | − | 0.335826i | −0.00423773 | − | 0.0130424i | ||||
\(664\) | −1.32633 | + | 4.08203i | −0.0514716 | + | 0.158413i | ||||
\(665\) | −1.60950 | − | 1.16937i | −0.0624139 | − | 0.0453464i | ||||
\(666\) | 11.6038 | − | 35.7130i | 0.449640 | − | 1.38385i | ||||
\(667\) | 13.9016 | − | 42.7847i | 0.538272 | − | 1.65663i | ||||
\(668\) | 1.93400 | + | 1.40514i | 0.0748289 | + | 0.0543664i | ||||
\(669\) | 0.541622 | − | 1.66694i | 0.0209403 | − | 0.0644477i | ||||
\(670\) | −1.59316 | − | 4.90325i | −0.0615493 | − | 0.189429i | ||||
\(671\) | 16.3968 | − | 11.9130i | 0.632991 | − | 0.459895i | ||||
\(672\) | 0.0420289 | + | 0.129352i | 0.00162130 | + | 0.00498985i | ||||
\(673\) | −18.2484 | − | 13.2582i | −0.703422 | − | 0.511066i | 0.177623 | − | 0.984099i | \(-0.443159\pi\) |
−0.881045 | + | 0.473032i | \(0.843159\pi\) | |||||||
\(674\) | −0.167676 | − | 0.121823i | −0.00645862 | − | 0.00469246i | ||||
\(675\) | 2.11551 | − | 1.53701i | 0.0814260 | − | 0.0591595i | ||||
\(676\) | 5.59800 | 0.215308 | ||||||||
\(677\) | −23.4823 | −0.902499 | −0.451250 | − | 0.892398i | \(-0.649022\pi\) | ||||
−0.451250 | + | 0.892398i | \(0.649022\pi\) | |||||||
\(678\) | 1.21785 | − | 0.884818i | 0.0467712 | − | 0.0339812i | ||||
\(679\) | −0.395121 | + | 1.21606i | −0.0151634 | + | 0.0466680i | ||||
\(680\) | −1.68412 | − | 5.18320i | −0.0645832 | − | 0.198767i | ||||
\(681\) | −2.11460 | −0.0810315 | ||||||||
\(682\) | −37.0026 | − | 0.767589i | −1.41690 | − | 0.0293925i | ||||
\(683\) | −9.42895 | −0.360789 | −0.180394 | − | 0.983594i | \(-0.557737\pi\) | ||||
−0.180394 | + | 0.983594i | \(0.557737\pi\) | |||||||
\(684\) | −2.63466 | − | 8.10863i | −0.100739 | − | 0.310041i | ||||
\(685\) | 10.1411 | − | 31.2111i | 0.387472 | − | 1.19252i | ||||
\(686\) | −2.74718 | + | 1.99594i | −0.104888 | + | 0.0762055i | ||||
\(687\) | −1.62610 | −0.0620396 | ||||||||
\(688\) | −4.36189 | −0.166296 | ||||||||
\(689\) | −6.81604 | + | 4.95214i | −0.259670 | + | 0.188662i | ||||
\(690\) | 3.75038 | + | 2.72481i | 0.142775 | + | 0.103732i | ||||
\(691\) | 14.9873 | + | 10.8889i | 0.570143 | + | 0.414233i | 0.835157 | − | 0.550011i | \(-0.185377\pi\) |
−0.265014 | + | 0.964245i | \(0.585377\pi\) | |||||||
\(692\) | 2.16996 | + | 6.67844i | 0.0824894 | + | 0.253876i | ||||
\(693\) | −2.59612 | + | 1.88619i | −0.0986184 | + | 0.0716505i | ||||
\(694\) | −5.81165 | − | 17.8864i | −0.220607 | − | 0.678959i | ||||
\(695\) | −8.62627 | + | 26.5489i | −0.327213 | + | 1.00706i | ||||
\(696\) | 2.98375 | + | 2.16782i | 0.113099 | + | 0.0821712i | ||||
\(697\) | −3.45554 | + | 10.6350i | −0.130888 | + | 0.402831i | ||||
\(698\) | −2.38448 | + | 7.33868i | −0.0902540 | + | 0.277773i | ||||
\(699\) | 3.70012 | + | 2.68829i | 0.139951 | + | 0.101681i | ||||
\(700\) | 0.0587080 | − | 0.180685i | 0.00221895 | − | 0.00682924i | ||||
\(701\) | −2.78210 | − | 8.56241i | −0.105078 | − | 0.323398i | 0.884671 | − | 0.466217i | \(-0.154383\pi\) |
−0.989749 | + | 0.142819i | \(0.954383\pi\) | |||||||
\(702\) | 2.06722 | − | 1.50192i | 0.0780221 | − | 0.0566864i | ||||
\(703\) | −18.1390 | − | 55.8260i | −0.684124 | − | 2.10552i | ||||
\(704\) | 39.1311 | + | 28.4304i | 1.47481 | + | 1.07151i | ||||
\(705\) | −0.547001 | − | 0.397419i | −0.0206012 | − | 0.0149677i | ||||
\(706\) | 1.85267 | − | 1.34604i | 0.0697262 | − | 0.0506590i | ||||
\(707\) | 1.21318 | 0.0456262 | ||||||||
\(708\) | −0.171453 | −0.00644362 | ||||||||
\(709\) | −6.79383 | + | 4.93601i | −0.255148 | + | 0.185376i | −0.708005 | − | 0.706207i | \(-0.750405\pi\) |
0.452857 | + | 0.891583i | \(0.350405\pi\) | |||||||
\(710\) | −4.84694 | + | 14.9173i | −0.181902 | + | 0.559838i | ||||
\(711\) | 12.7174 | + | 39.1402i | 0.476941 | + | 1.46787i | ||||
\(712\) | −32.6771 | −1.22463 | ||||||||
\(713\) | −49.8060 | − | 1.03318i | −1.86525 | − | 0.0386930i | ||||
\(714\) | 0.0582101 | 0.00217846 | ||||||||
\(715\) | 4.42563 | + | 13.6207i | 0.165509 | + | 0.509385i | ||||
\(716\) | 2.46461 | − | 7.58529i | 0.0921069 | − | 0.283476i | ||||
\(717\) | −0.562336 | + | 0.408561i | −0.0210008 | + | 0.0152580i | ||||
\(718\) | −24.5063 | −0.914568 | ||||||||
\(719\) | 46.9970 | 1.75269 | 0.876345 | − | 0.481683i | \(-0.159974\pi\) | ||||
0.876345 | + | 0.481683i | \(0.159974\pi\) | |||||||
\(720\) | 11.4203 | − | 8.29734i | 0.425610 | − | 0.309224i | ||||
\(721\) | −0.0691138 | − | 0.0502141i | −0.00257393 | − | 0.00187007i | ||||
\(722\) | 12.1916 | + | 8.85774i | 0.453725 | + | 0.329651i | ||||
\(723\) | −1.11212 | − | 3.42276i | −0.0413603 | − | 0.127294i | ||||
\(724\) | −9.96985 | + | 7.24352i | −0.370526 | + | 0.269203i | ||||
\(725\) | −2.85684 | − | 8.79244i | −0.106100 | − | 0.326543i | ||||
\(726\) | 1.69293 | − | 5.21029i | 0.0628304 | − | 0.193372i | ||||
\(727\) | −21.7076 | − | 15.7715i | −0.805092 | − | 0.584933i | 0.107312 | − | 0.994225i | \(-0.465776\pi\) |
−0.912403 | + | 0.409292i | \(0.865776\pi\) | |||||||
\(728\) | 0.279190 | − | 0.859258i | 0.0103475 | − | 0.0318462i | ||||
\(729\) | −7.40297 | + | 22.7840i | −0.274184 | + | 0.843852i | ||||
\(730\) | 0.348377 | + | 0.253111i | 0.0128940 | + | 0.00936804i | ||||
\(731\) | 0.499597 | − | 1.53760i | 0.0184783 | − | 0.0568702i | ||||
\(732\) | 0.142012 | + | 0.437067i | 0.00524891 | + | 0.0161545i | ||||
\(733\) | 8.33003 | − | 6.05212i | 0.307677 | − | 0.223540i | −0.423222 | − | 0.906026i | \(-0.639101\pi\) |
0.730899 | + | 0.682486i | \(0.239101\pi\) | |||||||
\(734\) | 7.77826 | + | 23.9390i | 0.287101 | + | 0.883605i | ||||
\(735\) | 2.39586 | + | 1.74069i | 0.0883726 | + | 0.0642065i | ||||
\(736\) | 20.5947 | + | 14.9629i | 0.759129 | + | 0.551539i | ||||
\(737\) | −10.5167 | + | 7.64082i | −0.387387 | + | 0.281453i | ||||
\(738\) | −40.0700 | −1.47500 | ||||||||
\(739\) | 11.7142 | 0.430912 | 0.215456 | − | 0.976514i | \(-0.430876\pi\) | ||||
0.215456 | + | 0.976514i | \(0.430876\pi\) | |||||||
\(740\) | −7.79682 | + | 5.66472i | −0.286617 | + | 0.208239i | ||||
\(741\) | 0.611204 | − | 1.88109i | 0.0224532 | − | 0.0691037i | ||||
\(742\) | −0.429188 | − | 1.32090i | −0.0157560 | − | 0.0484919i | ||||
\(743\) | 39.0027 | 1.43087 | 0.715434 | − | 0.698680i | \(-0.246229\pi\) | ||||
0.715434 | + | 0.698680i | \(0.246229\pi\) | |||||||
\(744\) | 1.34235 | − | 3.85721i | 0.0492128 | − | 0.141412i | ||||
\(745\) | 28.6720 | 1.05046 | ||||||||
\(746\) | 6.43148 | + | 19.7941i | 0.235473 | + | 0.724712i | ||||
\(747\) | 1.27333 | − | 3.91892i | 0.0465889 | − | 0.143386i | ||||
\(748\) | −2.28435 | + | 1.65967i | −0.0835240 | + | 0.0606837i | ||||
\(749\) | −1.32899 | −0.0485602 | ||||||||
\(750\) | 3.54322 | 0.129380 | ||||||||
\(751\) | 8.28352 | − | 6.01833i | 0.302270 | − | 0.219612i | −0.426303 | − | 0.904581i | \(-0.640184\pi\) |
0.728573 | + | 0.684969i | \(0.240184\pi\) | |||||||
\(752\) | 3.46847 | + | 2.51999i | 0.126482 | + | 0.0918945i | ||||
\(753\) | −4.82918 | − | 3.50861i | −0.175985 | − | 0.127861i | ||||
\(754\) | −2.79162 | − | 8.59173i | −0.101665 | − | 0.312892i | ||||
\(755\) | 12.8488 | − | 9.33518i | 0.467615 | − | 0.339742i | ||||
\(756\) | −0.0454073 | − | 0.139749i | −0.00165145 | − | 0.00508263i | ||||
\(757\) | 13.0225 | − | 40.0791i | 0.473311 | − | 1.45670i | −0.374911 | − | 0.927061i | \(-0.622327\pi\) |
0.848222 | − | 0.529641i | \(-0.177673\pi\) | |||||||
\(758\) | −26.1940 | − | 19.0311i | −0.951409 | − | 0.691239i | ||||
\(759\) | 3.61196 | − | 11.1165i | 0.131106 | − | 0.403503i | ||||
\(760\) | 9.43346 | − | 29.0332i | 0.342187 | − | 1.05314i | ||||
\(761\) | 29.2235 | + | 21.2321i | 1.05935 | + | 0.769662i | 0.973968 | − | 0.226686i | \(-0.0727891\pi\) |
0.0853814 | + | 0.996348i | \(0.472789\pi\) | |||||||
\(762\) | −0.227677 | + | 0.700719i | −0.00824788 | + | 0.0253844i | ||||
\(763\) | −1.09991 | − | 3.38517i | −0.0398193 | − | 0.122551i | ||||
\(764\) | 4.76052 | − | 3.45872i | 0.172229 | − | 0.125132i | ||||
\(765\) | 1.61683 | + | 4.97610i | 0.0584567 | + | 0.179911i | ||||
\(766\) | 5.47786 | + | 3.97990i | 0.197923 | + | 0.143800i | ||||
\(767\) | 1.65350 | + | 1.20134i | 0.0597043 | + | 0.0433777i | ||||
\(768\) | −2.22876 | + | 1.61929i | −0.0804234 | + | 0.0584310i | ||||
\(769\) | 29.8738 | 1.07728 | 0.538638 | − | 0.842537i | \(-0.318939\pi\) | ||||
0.538638 | + | 0.842537i | \(0.318939\pi\) | |||||||
\(770\) | −2.36093 | −0.0850820 | ||||||||
\(771\) | 4.01392 | − | 2.91629i | 0.144558 | − | 0.105027i | ||||
\(772\) | 3.59184 | − | 11.0545i | 0.129273 | − | 0.397862i | ||||
\(773\) | −1.55429 | − | 4.78360i | −0.0559038 | − | 0.172054i | 0.919206 | − | 0.393777i | \(-0.128832\pi\) |
−0.975110 | + | 0.221723i | \(0.928832\pi\) | |||||||
\(774\) | 5.79326 | 0.208234 | ||||||||
\(775\) | −8.40536 | + | 5.84440i | −0.301929 | + | 0.209937i | ||||
\(776\) | −19.6201 | −0.704322 | ||||||||
\(777\) | −0.154803 | − | 0.476435i | −0.00555353 | − | 0.0170920i | ||||
\(778\) | −1.29413 | + | 3.98291i | −0.0463967 | + | 0.142794i | ||||
\(779\) | −50.6743 | + | 36.8170i | −1.81559 | + | 1.31911i | ||||
\(780\) | −0.324738 | −0.0116275 | ||||||||
\(781\) | 39.5483 | 1.41515 | ||||||||
\(782\) | 8.81428 | − | 6.40395i | 0.315198 | − | 0.229005i | ||||
\(783\) | −5.78481 | − | 4.20291i | −0.206732 | − | 0.150200i | ||||
\(784\) | −15.1919 | − | 11.0375i | −0.542566 | − | 0.394198i | ||||
\(785\) | −11.3093 | − | 34.8063i | −0.403645 | − | 1.24229i | ||||
\(786\) | 1.50264 | − | 1.09173i | 0.0535972 | − | 0.0389407i | ||||
\(787\) | 5.62690 | + | 17.3178i | 0.200577 | + | 0.617313i | 0.999866 | + | 0.0163662i | \(0.00520975\pi\) |
−0.799289 | + | 0.600947i | \(0.794790\pi\) | |||||||
\(788\) | −1.92098 | + | 5.91217i | −0.0684321 | + | 0.210612i | ||||
\(789\) | −2.70944 | − | 1.96852i | −0.0964587 | − | 0.0700813i | ||||
\(790\) | −9.35655 | + | 28.7965i | −0.332891 | + | 1.02453i | ||||
\(791\) | −0.318884 | + | 0.981423i | −0.0113382 | + | 0.0348954i | ||||
\(792\) | −39.8363 | − | 28.9427i | −1.41552 | − | 1.02844i | ||||
\(793\) | 1.69287 | − | 5.21012i | 0.0601156 | − | 0.185017i | ||||
\(794\) | 5.25764 | + | 16.1814i | 0.186587 | + | 0.574255i | ||||
\(795\) | −1.96549 | + | 1.42801i | −0.0697086 | + | 0.0506463i | ||||
\(796\) | −0.282796 | − | 0.870357i | −0.0100234 | − | 0.0308490i | ||||
\(797\) | −3.39850 | − | 2.46915i | −0.120381 | − | 0.0874618i | 0.525966 | − | 0.850506i | \(-0.323704\pi\) |
−0.646347 | + | 0.763044i | \(0.723704\pi\) | |||||||
\(798\) | 0.263786 | + | 0.191652i | 0.00933794 | + | 0.00678441i | ||||
\(799\) | −1.28558 | + | 0.934029i | −0.0454806 | + | 0.0330436i | ||||
\(800\) | 5.23139 | 0.184958 | ||||||||
\(801\) | 31.3715 | 1.10846 | ||||||||
\(802\) | 16.3310 | − | 11.8652i | 0.576668 | − | 0.418974i | ||||
\(803\) | 0.335519 | − | 1.03262i | 0.0118402 | − | 0.0364404i | ||||
\(804\) | −0.0910845 | − | 0.280329i | −0.00321230 | − | 0.00988646i | ||||
\(805\) | −3.17784 | −0.112004 | ||||||||
\(806\) | −8.21349 | + | 5.71099i | −0.289308 | + | 0.201161i | ||||
\(807\) | −5.18535 | −0.182533 | ||||||||
\(808\) | 5.75255 | + | 17.7045i | 0.202374 | + | 0.622843i | ||||
\(809\) | 3.68437 | − | 11.3393i | 0.129535 | − | 0.398669i | −0.865165 | − | 0.501488i | \(-0.832786\pi\) |
0.994700 | + | 0.102819i | \(0.0327862\pi\) | |||||||
\(810\) | −14.8670 | + | 10.8015i | −0.522373 | + | 0.379526i | ||||
\(811\) | −1.88461 | −0.0661775 | −0.0330888 | − | 0.999452i | \(-0.510534\pi\) | ||||
−0.0330888 | + | 0.999452i | \(0.510534\pi\) | |||||||
\(812\) | −0.519504 | −0.0182310 | ||||||||
\(813\) | 6.17400 | − | 4.48568i | 0.216532 | − | 0.157320i | ||||
\(814\) | −56.3555 | − | 40.9447i | −1.97526 | − | 1.43511i | ||||
\(815\) | −26.0003 | − | 18.8903i | −0.910752 | − | 0.661700i | ||||
\(816\) | 0.199516 | + | 0.614046i | 0.00698445 | + | 0.0214959i | ||||
\(817\) | 7.32641 | − | 5.32295i | 0.256319 | − | 0.186226i | ||||
\(818\) | 3.06878 | + | 9.44475i | 0.107298 | + | 0.330228i | ||||
\(819\) | −0.268034 | + | 0.824924i | −0.00936587 | + | 0.0288252i | ||||
\(820\) | 8.31988 | + | 6.04474i | 0.290543 | + | 0.211092i | ||||
\(821\) | −2.25465 | + | 6.93910i | −0.0786878 | + | 0.242176i | −0.982660 | − | 0.185414i | \(-0.940637\pi\) |
0.903973 | + | 0.427590i | \(0.140637\pi\) | |||||||
\(822\) | −1.66206 | + | 5.11528i | −0.0579709 | + | 0.178416i | ||||
\(823\) | 4.35320 | + | 3.16279i | 0.151743 | + | 0.110248i | 0.661066 | − | 0.750328i | \(-0.270104\pi\) |
−0.509323 | + | 0.860575i | \(0.670104\pi\) | |||||||
\(824\) | 0.405082 | − | 1.24671i | 0.0141117 | − | 0.0434314i | ||||
\(825\) | −0.742273 | − | 2.28448i | −0.0258426 | − | 0.0795355i | ||||
\(826\) | −0.272580 | + | 0.198041i | −0.00948428 | + | 0.00689073i | ||||
\(827\) | 0.825976 | + | 2.54209i | 0.0287220 | + | 0.0883972i | 0.964390 | − | 0.264485i | \(-0.0852018\pi\) |
−0.935668 | + | 0.352882i | \(0.885202\pi\) | |||||||
\(828\) | −11.0178 | − | 8.00493i | −0.382897 | − | 0.278191i | ||||
\(829\) | 8.10596 | + | 5.88933i | 0.281532 | + | 0.204545i | 0.719585 | − | 0.694404i | \(-0.244332\pi\) |
−0.438054 | + | 0.898949i | \(0.644332\pi\) | |||||||
\(830\) | 2.45264 | − | 1.78195i | 0.0851324 | − | 0.0618523i | ||||
\(831\) | 3.15001 | 0.109273 | ||||||||
\(832\) | 13.0739 | 0.453256 | ||||||||
\(833\) | 5.63084 | − | 4.09104i | 0.195097 | − | 0.141746i | ||||
\(834\) | 1.41378 | − | 4.35118i | 0.0489553 | − | 0.150669i | ||||
\(835\) | −2.53933 | − | 7.81526i | −0.0878773 | − | 0.270458i | ||||
\(836\) | −15.8161 | −0.547013 | ||||||||
\(837\) | −2.60250 | + | 7.47824i | −0.0899555 | + | 0.258486i | ||||
\(838\) | −18.5486 | −0.640752 | ||||||||
\(839\) | 3.66837 | + | 11.2901i | 0.126646 | + | 0.389777i | 0.994197 | − | 0.107571i | \(-0.0343073\pi\) |
−0.867551 | + | 0.497348i | \(0.834307\pi\) | |||||||
\(840\) | 0.0805077 | − | 0.247777i | 0.00277778 | − | 0.00854913i | ||||
\(841\) | 3.00955 | − | 2.18657i | 0.103778 | − | 0.0753989i | ||||
\(842\) | −4.54448 | −0.156613 | ||||||||
\(843\) | 6.22753 | 0.214488 | ||||||||
\(844\) | −2.36632 | + | 1.71923i | −0.0814522 | + | 0.0591785i | ||||
\(845\) | −15.5678 | − | 11.3107i | −0.535550 | − | 0.389100i | ||||
\(846\) | −4.60665 | − | 3.34693i | −0.158380 | − | 0.115070i | ||||
\(847\) | 1.16052 | + | 3.57171i | 0.0398759 | + | 0.122725i | ||||
\(848\) | 12.4629 | − | 9.05483i | 0.427978 | − | 0.310944i | ||||
\(849\) | 1.97155 | + | 6.06780i | 0.0676633 | + | 0.208246i | ||||
\(850\) | 0.691882 | − | 2.12939i | 0.0237314 | − | 0.0730376i | ||||
\(851\) | −75.8552 | − | 55.1121i | −2.60028 | − | 1.88922i | ||||
\(852\) | −0.277109 | + | 0.852855i | −0.00949361 | + | 0.0292183i | ||||
\(853\) | −1.42040 | + | 4.37153i | −0.0486335 | + | 0.149678i | −0.972424 | − | 0.233220i | \(-0.925074\pi\) |
0.923791 | + | 0.382898i | \(0.125074\pi\) | |||||||
\(854\) | 0.730617 | + | 0.530825i | 0.0250012 | + | 0.0181644i | ||||
\(855\) | −9.05652 | + | 27.8731i | −0.309726 | + | 0.953240i | ||||
\(856\) | −6.30170 | − | 19.3946i | −0.215388 | − | 0.662895i | ||||
\(857\) | −12.4143 | + | 9.01949i | −0.424063 | + | 0.308100i | −0.779271 | − | 0.626688i | \(-0.784410\pi\) |
0.355208 | + | 0.934787i | \(0.384410\pi\) | |||||||
\(858\) | −0.725329 | − | 2.23233i | −0.0247623 | − | 0.0762106i | ||||
\(859\) | −42.6265 | − | 30.9700i | −1.45440 | − | 1.05668i | −0.984779 | − | 0.173814i | \(-0.944391\pi\) |
−0.469620 | − | 0.882869i | \(-0.655609\pi\) | |||||||
\(860\) | −1.20288 | − | 0.873940i | −0.0410177 | − | 0.0298011i | ||||
\(861\) | −0.432468 | + | 0.314206i | −0.0147385 | + | 0.0107081i | ||||
\(862\) | 21.9046 | 0.746073 | ||||||||
\(863\) | −52.3577 | −1.78228 | −0.891139 | − | 0.453731i | \(-0.850093\pi\) | ||||
−0.891139 | + | 0.453731i | \(0.850093\pi\) | |||||||
\(864\) | 3.27343 | − | 2.37829i | 0.111364 | − | 0.0809110i | ||||
\(865\) | 7.45914 | − | 22.9569i | 0.253618 | − | 0.780557i | ||||
\(866\) | −6.32621 | − | 19.4701i | −0.214973 | − | 0.661620i | ||||
\(867\) | −0.239308 | −0.00812732 | ||||||||
\(868\) | 0.166387 | + | 0.550696i | 0.00564753 | + | 0.0186918i | ||||
\(869\) | 76.3443 | 2.58980 | ||||||||
\(870\) | −0.804997 | − | 2.47753i | −0.0272920 | − | 0.0839960i | ||||
\(871\) | −1.08579 | + | 3.34171i | −0.0367905 | + | 0.113229i | ||||
\(872\) | 44.1861 | − | 32.1031i | 1.49633 | − | 1.08715i | ||||
\(873\) | 18.8362 | 0.637508 | ||||||||
\(874\) | 61.0275 | 2.06429 | ||||||||
\(875\) | −1.96503 | + | 1.42768i | −0.0664303 | + | 0.0482644i | ||||
\(876\) | 0.0199174 | + | 0.0144709i | 0.000672948 | + | 0.000488925i | ||||
\(877\) | 9.38770 | + | 6.82056i | 0.317000 | + | 0.230314i | 0.734894 | − | 0.678182i | \(-0.237232\pi\) |
−0.417894 | + | 0.908496i | \(0.637232\pi\) | |||||||
\(878\) | −8.73781 | − | 26.8922i | −0.294887 | − | 0.907568i | ||||
\(879\) | −4.87866 | + | 3.54455i | −0.164553 | + | 0.119555i | ||||
\(880\) | −8.09212 | − | 24.9050i | −0.272785 | − | 0.839547i | ||||
\(881\) | 0.157970 | − | 0.486180i | 0.00532213 | − | 0.0163798i | −0.948360 | − | 0.317195i | \(-0.897259\pi\) |
0.953682 | + | 0.300816i | \(0.0972589\pi\) | |||||||
\(882\) | 20.1771 | + | 14.6595i | 0.679398 | + | 0.493612i | ||||
\(883\) | −4.53642 | + | 13.9617i | −0.152663 | + | 0.469848i | −0.997917 | − | 0.0645173i | \(-0.979449\pi\) |
0.845254 | + | 0.534365i | \(0.179449\pi\) | |||||||
\(884\) | −0.235845 | + | 0.725857i | −0.00793234 | + | 0.0244132i | ||||
\(885\) | 0.476806 | + | 0.346420i | 0.0160277 | + | 0.0116448i | ||||
\(886\) | −2.91561 | + | 8.97331i | −0.0979517 | + | 0.301464i | ||||
\(887\) | −8.98206 | − | 27.6439i | −0.301588 | − | 0.928192i | −0.980928 | − | 0.194369i | \(-0.937734\pi\) |
0.679341 | − | 0.733823i | \(-0.262266\pi\) | |||||||
\(888\) | 6.21883 | − | 4.51824i | 0.208690 | − | 0.151622i | ||||
\(889\) | −0.156075 | − | 0.480351i | −0.00523460 | − | 0.0161104i | ||||
\(890\) | 18.6728 | + | 13.5666i | 0.625912 | + | 0.454752i | ||||
\(891\) | 37.4857 | + | 27.2350i | 1.25582 | + | 0.912406i | ||||
\(892\) | −3.06485 | + | 2.22674i | −0.102619 | + | 0.0745568i | ||||
\(893\) | −8.90099 | −0.297860 | ||||||||
\(894\) | −4.69913 | −0.157162 | ||||||||
\(895\) | −22.1800 | + | 16.1147i | −0.741395 | + | 0.538655i | ||||
\(896\) | −0.314752 | + | 0.968708i | −0.0105151 | + | 0.0323623i | ||||
\(897\) | −0.976302 | − | 3.00475i | −0.0325978 | − | 0.100326i | ||||
\(898\) | 6.28241 | 0.209647 | ||||||||
\(899\) | 22.3017 | + | 16.9208i | 0.743804 | + | 0.564340i | ||||
\(900\) | −2.79872 | −0.0932907 | ||||||||
\(901\) | 1.76444 | + | 5.43038i | 0.0587819 | + | 0.180912i | ||||
\(902\) | −22.9700 | + | 70.6943i | −0.764817 | + | 2.35386i | ||||
\(903\) | 0.0625256 | − | 0.0454275i | 0.00208072 | − | 0.00151173i | ||||
\(904\) | −15.8345 | −0.526647 | ||||||||
\(905\) | 42.3612 | 1.40813 | ||||||||
\(906\) | −2.10582 | + | 1.52997i | −0.0699613 | + | 0.0508298i | ||||
\(907\) | 16.4368 | + | 11.9420i | 0.545774 | + | 0.396528i | 0.826225 | − | 0.563340i | \(-0.190484\pi\) |
−0.280451 | + | 0.959868i | \(0.590484\pi\) | |||||||
\(908\) | 3.69762 | + | 2.68648i | 0.122710 | + | 0.0891539i | ||||
\(909\) | −5.52269 | − | 16.9971i | −0.183176 | − | 0.563758i | ||||
\(910\) | −0.516276 | + | 0.375096i | −0.0171144 | + | 0.0124343i | ||||
\(911\) | 9.03153 | + | 27.7962i | 0.299228 | + | 0.920929i | 0.981768 | + | 0.190081i | \(0.0608751\pi\) |
−0.682540 | + | 0.730848i | \(0.739125\pi\) | |||||||
\(912\) | −1.11757 | + | 3.43952i | −0.0370064 | + | 0.113894i | ||||
\(913\) | −6.18411 | − | 4.49302i | −0.204664 | − | 0.148697i | ||||
\(914\) | 9.06611 | − | 27.9026i | 0.299880 | − | 0.922936i | ||||
\(915\) | 0.488160 | − | 1.50240i | 0.0161381 | − | 0.0496679i | ||||
\(916\) | 2.84343 | + | 2.06587i | 0.0939496 | + | 0.0682584i | ||||
\(917\) | −0.393453 | + | 1.21092i | −0.0129930 | + | 0.0399882i | ||||
\(918\) | −0.535131 | − | 1.64696i | −0.0176620 | − | 0.0543579i | ||||
\(919\) | −24.7421 | + | 17.9762i | −0.816166 | + | 0.592979i | −0.915612 | − | 0.402064i | \(-0.868293\pi\) |
0.0994455 | + | 0.995043i | \(0.468293\pi\) | |||||||
\(920\) | −15.0684 | − | 46.3759i | −0.496792 | − | 1.52897i | ||||
\(921\) | 3.87317 | + | 2.81402i | 0.127625 | + | 0.0927252i | ||||
\(922\) | −19.6408 | − | 14.2699i | −0.646837 | − | 0.469954i | ||||
\(923\) | 8.64821 | − | 6.28329i | 0.284659 | − | 0.206817i | ||||
\(924\) | −0.134979 | −0.00444049 | ||||||||
\(925\) | −19.2685 | −0.633545 | ||||||||
\(926\) | 12.4102 | − | 9.01651i | 0.407823 | − | 0.296301i | ||||
\(927\) | −0.388896 | + | 1.19690i | −0.0127730 | + | 0.0393113i | ||||
\(928\) | −4.42052 | − | 13.6050i | −0.145111 | − | 0.446605i | ||||
\(929\) | 12.1310 | 0.398006 | 0.199003 | − | 0.979999i | \(-0.436230\pi\) | ||||
0.199003 | + | 0.979999i | \(0.436230\pi\) | |||||||
\(930\) | −2.36846 | + | 1.64683i | −0.0776647 | + | 0.0540018i | ||||
\(931\) | 38.9863 | 1.27772 | ||||||||
\(932\) | −3.05476 | − | 9.40159i | −0.100062 | − | 0.307959i | ||||
\(933\) | −0.213364 | + | 0.656666i | −0.00698521 | + | 0.0214983i | ||||
\(934\) | 1.71014 | − | 1.24249i | 0.0559573 | − | 0.0406554i | ||||
\(935\) | 9.70603 | 0.317421 | ||||||||
\(936\) | −13.3095 | −0.435034 | ||||||||
\(937\) | 13.8325 | − | 10.0499i | 0.451887 | − | 0.328315i | −0.338453 | − | 0.940983i | \(-0.609904\pi\) |
0.790340 | + | 0.612668i | \(0.209904\pi\) | |||||||
\(938\) | −0.468609 | − | 0.340464i | −0.0153006 | − | 0.0111165i | ||||
\(939\) | 3.39384 | + | 2.46577i | 0.110754 | + | 0.0804674i | ||||
\(940\) | 0.451596 | + | 1.38987i | 0.0147294 | + | 0.0453326i | ||||
\(941\) | −43.7488 | + | 31.7854i | −1.42617 | + | 1.03617i | −0.435458 | + | 0.900209i | \(0.643413\pi\) |
−0.990714 | + | 0.135965i | \(0.956587\pi\) | |||||||
\(942\) | 1.85351 | + | 5.70451i | 0.0603906 | + | 0.185863i | ||||
\(943\) | −30.9179 | + | 95.1555i | −1.00682 | + | 3.09869i | ||||
\(944\) | −3.02337 | − | 2.19660i | −0.0984022 | − | 0.0714934i | ||||
\(945\) | −0.156086 | + | 0.480383i | −0.00507747 | + | 0.0156269i | ||||
\(946\) | 3.32097 | − | 10.2209i | 0.107974 | − | 0.332310i | ||||
\(947\) | −3.76957 | − | 2.73875i | −0.122495 | − | 0.0889975i | 0.524851 | − | 0.851194i | \(-0.324121\pi\) |
−0.647346 | + | 0.762197i | \(0.724121\pi\) | |||||||
\(948\) | −0.534933 | + | 1.64636i | −0.0173738 | + | 0.0534711i | ||||
\(949\) | −0.0906897 | − | 0.279114i | −0.00294391 | − | 0.00906043i | ||||
\(950\) | 10.1462 | − | 7.37165i | 0.329186 | − | 0.239168i | ||||
\(951\) | −1.23326 | − | 3.79559i | −0.0399913 | − | 0.123081i | ||||
\(952\) | −0.495364 | − | 0.359903i | −0.0160548 | − | 0.0116645i | ||||
\(953\) | −13.2486 | − | 9.62568i | −0.429164 | − | 0.311806i | 0.352150 | − | 0.935943i | \(-0.385451\pi\) |
−0.781315 | + | 0.624137i | \(0.785451\pi\) | |||||||
\(954\) | −16.5526 | + | 12.0262i | −0.535911 | + | 0.389362i | ||||
\(955\) | −20.2271 | −0.654534 | ||||||||
\(956\) | 1.50237 | 0.0485900 | ||||||||
\(957\) | −5.31389 | + | 3.86077i | −0.171774 | + | 0.124801i | ||||
\(958\) | 15.6628 | − | 48.2053i | 0.506044 | − | 1.55744i | ||||
\(959\) | −1.13936 | − | 3.50658i | −0.0367918 | − | 0.113234i | ||||
\(960\) | 3.77002 | 0.121677 | ||||||||
\(961\) | 10.7940 | − | 29.0601i | 0.348192 | − | 0.937423i | ||||
\(962\) | −18.8287 | −0.607061 | ||||||||
\(963\) | 6.04990 | + | 18.6197i | 0.194955 | + | 0.600011i | ||||
\(964\) | −2.40375 | + | 7.39799i | −0.0774196 | + | 0.238273i | ||||
\(965\) | −32.3243 | + | 23.4850i | −1.04056 | + | 0.756009i | ||||
\(966\) | 0.520826 | 0.0167573 | ||||||||
\(967\) | 57.6946 | 1.85533 | 0.927667 | − | 0.373409i | \(-0.121811\pi\) | ||||
0.927667 | + | 0.373409i | \(0.121811\pi\) | |||||||
\(968\) | −46.6210 | + | 33.8721i | −1.49846 | + | 1.08869i | ||||
\(969\) | −1.08445 | − | 0.787902i | −0.0348377 | − | 0.0253111i | ||||
\(970\) | 11.2116 | + | 8.14568i | 0.359982 | + | 0.261542i | ||||
\(971\) | 12.0699 | + | 37.1472i | 0.387340 | + | 1.19211i | 0.934768 | + | 0.355258i | \(0.115607\pi\) |
−0.547428 | + | 0.836853i | \(0.684393\pi\) | |||||||
\(972\) | −2.63530 | + | 1.91466i | −0.0845272 | + | 0.0614126i | ||||
\(973\) | 0.969165 | + | 2.98278i | 0.0310700 | + | 0.0956236i | ||||
\(974\) | 0.0270195 | − | 0.0831575i | 0.000865761 | − | 0.00266454i | ||||
\(975\) | −0.525267 | − | 0.381628i | −0.0168220 | − | 0.0122219i | ||||
\(976\) | −3.09536 | + | 9.52654i | −0.0990801 | + | 0.304937i | ||||
\(977\) | 8.72001 | − | 26.8374i | 0.278978 | − | 0.858605i | −0.709162 | − | 0.705046i | \(-0.750926\pi\) |
0.988139 | − | 0.153559i | \(-0.0490736\pi\) | |||||||
\(978\) | 4.26127 | + | 3.09599i | 0.136260 | + | 0.0989990i | ||||
\(979\) | 17.9836 | − | 55.3478i | 0.574758 | − | 1.76892i | ||||
\(980\) | −1.97799 | − | 6.08762i | −0.0631845 | − | 0.194462i | ||||
\(981\) | −42.4205 | + | 30.8203i | −1.35438 | + | 0.984017i | ||||
\(982\) | −10.6482 | − | 32.7719i | −0.339799 | − | 1.04579i | ||||
\(983\) | 4.66913 | + | 3.39232i | 0.148922 | + | 0.108198i | 0.659751 | − | 0.751484i | \(-0.270662\pi\) |
−0.510829 | + | 0.859682i | \(0.670662\pi\) | |||||||
\(984\) | −6.63602 | − | 4.82135i | −0.211549 | − | 0.153699i | ||||
\(985\) | 17.2877 | − | 12.5602i | 0.550831 | − | 0.400202i | ||||
\(986\) | −6.12243 | −0.194978 | ||||||||
\(987\) | −0.0759635 | −0.00241794 | ||||||||
\(988\) | −3.45859 | + | 2.51281i | −0.110032 | + | 0.0799432i | ||||
\(989\) | 4.47006 | − | 13.7574i | 0.142140 | − | 0.437461i | ||||
\(990\) | 10.7476 | + | 33.0776i | 0.341580 | + | 1.05127i | ||||
\(991\) | −6.30092 | −0.200155 | −0.100078 | − | 0.994980i | \(-0.531909\pi\) | ||||
−0.100078 | + | 0.994980i | \(0.531909\pi\) | |||||||
\(992\) | −13.0060 | + | 9.04333i | −0.412942 | + | 0.287126i | ||||
\(993\) | −2.41982 | −0.0767906 | ||||||||
\(994\) | 0.544555 | + | 1.67597i | 0.0172722 | + | 0.0531585i | ||||
\(995\) | −0.972100 | + | 2.99182i | −0.0308176 | + | 0.0948469i | ||||
\(996\) | 0.140223 | − | 0.101878i | 0.00444312 | − | 0.00322812i | ||||
\(997\) | 28.6119 | 0.906147 | 0.453073 | − | 0.891473i | \(-0.350328\pi\) | ||||
0.453073 | + | 0.891473i | \(0.350328\pi\) | |||||||
\(998\) | −29.7276 | −0.941012 | ||||||||
\(999\) | −12.0569 | + | 8.75983i | −0.381462 | + | 0.277149i |
(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 | 527.2.h.c.35.8 | ✓ | 96 | |
31.8 | even | 5 | inner | 527.2.h.c.256.8 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
527.2.h.c.35.8 | ✓ | 96 | 1.1 | even | 1 | trivial | |
527.2.h.c.256.8 | yes | 96 | 31.8 | even | 5 | inner |