Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [983,2,Mod(2,983)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(983, base_ring=CyclotomicField(982))
chi = DirichletCharacter(H, H._module([674]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("983.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 983 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 983.c (of order \(491\), degree \(490\), 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: | \(7.84929451869\) |
Analytic rank: | \(0\) |
Dimension: | \(39690\) |
Relative dimension: | \(81\) over \(\Q(\zeta_{491})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{491}]$ |
Embedding invariants
Embedding label | 2.5 | ||
Character | \(\chi\) | \(=\) | 983.2 |
Dual form | 983.2.c.a.492.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/983\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{337}{491}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.815103 | + | 2.43422i | −0.576365 | + | 1.72125i | 0.109940 | + | 0.993938i | \(0.464934\pi\) |
−0.686305 | + | 0.727314i | \(0.740769\pi\) | |||||||
\(3\) | 1.99272 | + | 1.11954i | 1.15049 | + | 0.646365i | 0.943302 | − | 0.331936i | \(-0.107702\pi\) |
0.207193 | + | 0.978300i | \(0.433567\pi\) | |||||||
\(4\) | −3.66431 | − | 2.76391i | −1.83215 | − | 1.38195i | ||||
\(5\) | 0.269938 | − | 0.407156i | 0.120720 | − | 0.182086i | −0.768116 | − | 0.640310i | \(-0.778806\pi\) |
0.888836 | + | 0.458225i | \(0.151514\pi\) | |||||||
\(6\) | −4.34946 | + | 3.93817i | −1.77566 | + | 1.60775i | ||||
\(7\) | 0.302286 | − | 0.667041i | 0.114253 | − | 0.252118i | −0.844944 | − | 0.534854i | \(-0.820366\pi\) |
0.959198 | + | 0.282737i | \(0.0912422\pi\) | |||||||
\(8\) | 5.48157 | − | 3.76178i | 1.93803 | − | 1.32999i | ||||
\(9\) | 1.15702 | + | 1.89966i | 0.385673 | + | 0.633221i | ||||
\(10\) | 0.771079 | + | 0.988963i | 0.243836 | + | 0.312738i | ||||
\(11\) | 4.53664 | + | 0.290667i | 1.36785 | + | 0.0876395i | 0.730488 | − | 0.682925i | \(-0.239293\pi\) |
0.637362 | + | 0.770565i | \(0.280026\pi\) | |||||||
\(12\) | −4.20763 | − | 9.61001i | −1.21464 | − | 2.77417i | ||||
\(13\) | 0.900447 | + | 1.04039i | 0.249739 | + | 0.288553i | 0.867108 | − | 0.498121i | \(-0.165976\pi\) |
−0.617369 | + | 0.786674i | \(0.711801\pi\) | |||||||
\(14\) | 1.37733 | + | 1.27954i | 0.368107 | + | 0.341971i | ||||
\(15\) | 0.993736 | − | 0.509140i | 0.256582 | − | 0.131459i | ||||
\(16\) | 2.16687 | + | 7.58322i | 0.541717 | + | 1.89580i | ||||
\(17\) | −3.64166 | + | 1.60836i | −0.883233 | + | 0.390085i | −0.795425 | − | 0.606052i | \(-0.792752\pi\) |
−0.0878085 | + | 0.996137i | \(0.527986\pi\) | |||||||
\(18\) | −5.56728 | + | 1.26802i | −1.31222 | + | 0.298875i | ||||
\(19\) | 3.65716 | + | 2.79541i | 0.839009 | + | 0.641310i | 0.935226 | − | 0.354050i | \(-0.115196\pi\) |
−0.0962173 | + | 0.995360i | \(0.530674\pi\) | |||||||
\(20\) | −2.11448 | + | 0.745859i | −0.472812 | + | 0.166779i | ||||
\(21\) | 1.34915 | − | 0.990803i | 0.294408 | − | 0.216211i | ||||
\(22\) | −4.40538 | + | 10.8063i | −0.939230 | + | 2.30390i | ||||
\(23\) | 0.465205 | + | 4.39010i | 0.0970020 | + | 0.915400i | 0.931341 | + | 0.364148i | \(0.118640\pi\) |
−0.834339 | + | 0.551252i | \(0.814150\pi\) | |||||||
\(24\) | 15.1347 | − | 1.35935i | 3.08935 | − | 0.277477i | ||||
\(25\) | 1.85371 | + | 4.38569i | 0.370742 | + | 0.877138i | ||||
\(26\) | −3.26650 | + | 1.34386i | −0.640614 | + | 0.263552i | ||||
\(27\) | −0.0623822 | − | 1.77195i | −0.0120055 | − | 0.341011i | ||||
\(28\) | −2.95131 | + | 1.60875i | −0.557745 | + | 0.304026i | ||||
\(29\) | −0.311575 | + | 0.450920i | −0.0578581 | + | 0.0837337i | −0.850567 | − | 0.525866i | \(-0.823741\pi\) |
0.792709 | + | 0.609600i | \(0.208670\pi\) | |||||||
\(30\) | 0.429361 | + | 2.83397i | 0.0783902 | + | 0.517410i | ||||
\(31\) | 0.0749012 | + | 0.111421i | 0.0134527 | + | 0.0200118i | 0.836577 | − | 0.547849i | \(-0.184553\pi\) |
−0.823125 | + | 0.567861i | \(0.807771\pi\) | |||||||
\(32\) | −6.94236 | − | 0.311146i | −1.22725 | − | 0.0550033i | ||||
\(33\) | 8.71483 | + | 5.65815i | 1.51706 | + | 0.984958i | ||||
\(34\) | −0.946769 | − | 10.1756i | −0.162370 | − | 1.74510i | ||||
\(35\) | −0.189991 | − | 0.303138i | −0.0321144 | − | 0.0512396i | ||||
\(36\) | 1.01081 | − | 10.1588i | 0.168469 | − | 1.69314i | ||||
\(37\) | −4.98277 | + | 1.23595i | −0.819163 | + | 0.203189i | −0.627844 | − | 0.778339i | \(-0.716063\pi\) |
−0.191319 | + | 0.981528i | \(0.561276\pi\) | |||||||
\(38\) | −9.78559 | + | 6.62377i | −1.58743 | + | 1.07452i | ||||
\(39\) | 0.629577 | + | 3.08129i | 0.100813 | + | 0.493401i | ||||
\(40\) | −0.0519479 | − | 3.24730i | −0.00821369 | − | 0.513444i | ||||
\(41\) | 1.33724 | + | 0.120108i | 0.208842 | + | 0.0187577i | 0.193385 | − | 0.981123i | \(-0.438053\pi\) |
0.0154570 | + | 0.999881i | \(0.495080\pi\) | |||||||
\(42\) | 1.31214 | + | 4.09172i | 0.202467 | + | 0.631367i | ||||
\(43\) | 2.35832 | + | 3.23288i | 0.359641 | + | 0.493010i | 0.949182 | − | 0.314728i | \(-0.101913\pi\) |
−0.589541 | + | 0.807738i | \(0.700691\pi\) | |||||||
\(44\) | −15.8203 | − | 13.6040i | −2.38500 | − | 2.05088i | ||||
\(45\) | 1.08578 | + | 0.0417038i | 0.161859 | + | 0.00621684i | ||||
\(46\) | −11.0657 | − | 2.44598i | −1.63154 | − | 0.360639i | ||||
\(47\) | −2.50885 | − | 8.37293i | −0.365954 | − | 1.22132i | −0.921021 | − | 0.389512i | \(-0.872644\pi\) |
0.555067 | − | 0.831805i | \(-0.312692\pi\) | |||||||
\(48\) | −4.17173 | + | 17.5371i | −0.602138 | + | 2.53126i | ||||
\(49\) | 4.26115 | + | 4.86022i | 0.608736 | + | 0.694317i | ||||
\(50\) | −12.1867 | + | 0.937540i | −1.72346 | + | 0.132588i | ||||
\(51\) | −9.05742 | − | 0.871968i | −1.26829 | − | 0.122100i | ||||
\(52\) | −0.423961 | − | 6.30107i | −0.0587929 | − | 0.873802i | ||||
\(53\) | 2.40305 | − | 2.20396i | 0.330085 | − | 0.302737i | −0.493708 | − | 0.869628i | \(-0.664359\pi\) |
0.823793 | + | 0.566891i | \(0.191854\pi\) | |||||||
\(54\) | 4.36415 | + | 1.29247i | 0.593886 | + | 0.175883i | ||||
\(55\) | 1.34296 | − | 1.76866i | 0.181085 | − | 0.238486i | ||||
\(56\) | −0.852264 | − | 4.79356i | −0.113889 | − | 0.640567i | ||||
\(57\) | 4.15811 | + | 9.66477i | 0.550756 | + | 1.28013i | ||||
\(58\) | −0.843671 | − | 1.12599i | −0.110779 | − | 0.147849i | ||||
\(59\) | −13.7131 | − | 1.05497i | −1.78530 | − | 0.137345i | −0.858476 | − | 0.512854i | \(-0.828588\pi\) |
−0.926819 | + | 0.375508i | \(0.877468\pi\) | |||||||
\(60\) | −5.04857 | − | 0.880951i | −0.651768 | − | 0.113730i | ||||
\(61\) | −0.904609 | − | 0.767866i | −0.115823 | − | 0.0983152i | 0.587353 | − | 0.809331i | \(-0.300170\pi\) |
−0.703176 | + | 0.711016i | \(0.748235\pi\) | |||||||
\(62\) | −0.332276 | + | 0.0915062i | −0.0421991 | + | 0.0116213i | ||||
\(63\) | 1.61690 | − | 0.197539i | 0.203711 | − | 0.0248876i | ||||
\(64\) | 0.743022 | − | 1.92765i | 0.0928777 | − | 0.240956i | ||||
\(65\) | 0.666667 | − | 0.0857803i | 0.0826899 | − | 0.0106397i | ||||
\(66\) | −20.8767 | + | 16.6018i | −2.56974 | + | 2.04354i | ||||
\(67\) | 7.74629 | − | 6.66109i | 0.946360 | − | 0.813782i | −0.0362725 | − | 0.999342i | \(-0.511548\pi\) |
0.982633 | + | 0.185560i | \(0.0594099\pi\) | |||||||
\(68\) | 17.7895 | + | 4.17170i | 2.15730 | + | 0.505893i | ||||
\(69\) | −3.98786 | + | 9.26904i | −0.480082 | + | 1.11586i | ||||
\(70\) | 0.892765 | − | 0.215391i | 0.106706 | − | 0.0257442i | ||||
\(71\) | −5.15286 | + | 4.20648i | −0.611532 | + | 0.499217i | −0.886802 | − | 0.462150i | \(-0.847078\pi\) |
0.275269 | + | 0.961367i | \(0.411233\pi\) | |||||||
\(72\) | 13.4884 | + | 6.06066i | 1.58962 | + | 0.714256i | ||||
\(73\) | 9.34847 | + | 6.68300i | 1.09416 | + | 0.782186i | 0.977489 | − | 0.210985i | \(-0.0676672\pi\) |
0.116666 | + | 0.993171i | \(0.462779\pi\) | |||||||
\(74\) | 1.05290 | − | 13.1366i | 0.122397 | − | 1.52710i | ||||
\(75\) | −1.21602 | + | 10.8147i | −0.140414 | + | 1.24878i | ||||
\(76\) | −5.67469 | − | 20.3513i | −0.650932 | − | 2.33445i | ||||
\(77\) | 1.56525 | − | 2.93826i | 0.178377 | − | 0.334846i | ||||
\(78\) | −8.01370 | − | 0.979044i | −0.907373 | − | 0.110855i | ||||
\(79\) | 3.78412 | − | 0.560935i | 0.425747 | − | 0.0631101i | 0.0696775 | − | 0.997570i | \(-0.477803\pi\) |
0.356070 | + | 0.934459i | \(0.384117\pi\) | |||||||
\(80\) | 3.67247 | + | 1.16475i | 0.410595 | + | 0.130223i | ||||
\(81\) | 4.92114 | − | 9.52980i | 0.546793 | − | 1.05887i | ||||
\(82\) | −1.38236 | + | 3.15724i | −0.152656 | + | 0.348659i | ||||
\(83\) | 0.781737 | − | 0.242439i | 0.0858067 | − | 0.0266111i | −0.253008 | − | 0.967464i | \(-0.581420\pi\) |
0.338815 | + | 0.940853i | \(0.389974\pi\) | |||||||
\(84\) | −7.68218 | − | 0.0983120i | −0.838194 | − | 0.0107267i | ||||
\(85\) | −0.328171 | + | 1.91688i | −0.0355951 | + | 0.207915i | ||||
\(86\) | −9.79182 | + | 3.10554i | −1.05588 | + | 0.334878i | ||||
\(87\) | −1.12570 | + | 0.549735i | −0.120688 | + | 0.0589378i | ||||
\(88\) | 25.9613 | − | 15.4726i | 2.76749 | − | 1.64938i | ||||
\(89\) | 5.71837 | + | 3.76492i | 0.606146 | + | 0.399080i | 0.815498 | − | 0.578760i | \(-0.196463\pi\) |
−0.209352 | + | 0.977840i | \(0.567135\pi\) | |||||||
\(90\) | −0.986541 | + | 2.60904i | −0.103991 | + | 0.275017i | ||||
\(91\) | 0.966178 | − | 0.286139i | 0.101283 | − | 0.0299955i | ||||
\(92\) | 10.4292 | − | 17.3725i | 1.08732 | − | 1.81121i | ||||
\(93\) | 0.0245168 | + | 0.305885i | 0.00254228 | + | 0.0317188i | ||||
\(94\) | 22.4265 | + | 0.717709i | 2.31312 | + | 0.0740260i | ||||
\(95\) | 2.12537 | − | 0.734445i | 0.218059 | − | 0.0753525i | ||||
\(96\) | −13.4858 | − | 8.39224i | −1.37639 | − | 0.856530i | ||||
\(97\) | −5.66393 | + | 0.290172i | −0.575085 | + | 0.0294625i | −0.336540 | − | 0.941669i | \(-0.609257\pi\) |
−0.238544 | + | 0.971132i | \(0.576670\pi\) | |||||||
\(98\) | −15.3041 | + | 6.41099i | −1.54595 | + | 0.647608i | ||||
\(99\) | 4.69682 | + | 8.95440i | 0.472048 | + | 0.899951i | ||||
\(100\) | 5.32909 | − | 21.1940i | 0.532909 | − | 2.11940i | ||||
\(101\) | 3.30001 | + | 2.39115i | 0.328363 | + | 0.237928i | 0.738744 | − | 0.673986i | \(-0.235419\pi\) |
−0.410381 | + | 0.911914i | \(0.634604\pi\) | |||||||
\(102\) | 9.50529 | − | 21.3370i | 0.941164 | − | 2.11268i | ||||
\(103\) | 5.34010 | + | 2.07802i | 0.526176 | + | 0.204753i | 0.610982 | − | 0.791644i | \(-0.290775\pi\) |
−0.0848063 | + | 0.996397i | \(0.527027\pi\) | |||||||
\(104\) | 8.84959 | + | 2.31570i | 0.867774 | + | 0.227073i | ||||
\(105\) | −0.0392249 | − | 0.816769i | −0.00382796 | − | 0.0797085i | ||||
\(106\) | 3.40618 | + | 7.64601i | 0.330837 | + | 0.742646i | ||||
\(107\) | 1.27253 | − | 6.03104i | 0.123020 | − | 0.583043i | −0.872510 | − | 0.488596i | \(-0.837509\pi\) |
0.995530 | − | 0.0944462i | \(-0.0301080\pi\) | |||||||
\(108\) | −4.66891 | + | 6.66538i | −0.449266 | + | 0.641376i | ||||
\(109\) | −8.74361 | − | 10.3677i | −0.837486 | − | 0.993048i | −0.999980 | − | 0.00633862i | \(-0.997982\pi\) |
0.162494 | − | 0.986710i | \(-0.448046\pi\) | |||||||
\(110\) | 3.21065 | + | 4.71070i | 0.306123 | + | 0.449148i | ||||
\(111\) | −11.3129 | − | 3.11550i | −1.07378 | − | 0.295710i | ||||
\(112\) | 5.71333 | + | 0.846909i | 0.539859 | + | 0.0800254i | ||||
\(113\) | −3.90923 | − | 1.90907i | −0.367749 | − | 0.179590i | 0.245658 | − | 0.969357i | \(-0.420996\pi\) |
−0.613407 | + | 0.789767i | \(0.710202\pi\) | |||||||
\(114\) | −26.9154 | + | 2.24397i | −2.52086 | + | 0.210167i | ||||
\(115\) | 1.91303 | + | 0.995646i | 0.178391 | + | 0.0928445i | ||||
\(116\) | 2.38801 | − | 0.791143i | 0.221721 | − | 0.0734558i | ||||
\(117\) | −0.934560 | + | 2.91430i | −0.0864001 | + | 0.269427i | ||||
\(118\) | 13.7456 | − | 32.5208i | 1.26539 | − | 2.99378i | ||||
\(119\) | −0.0279808 | + | 2.91532i | −0.00256499 | + | 0.267247i | ||||
\(120\) | 3.53196 | − | 6.52911i | 0.322422 | − | 0.596023i | ||||
\(121\) | 9.58659 | + | 1.23351i | 0.871508 | + | 0.112137i | ||||
\(122\) | 2.60650 | − | 1.57612i | 0.235982 | − | 0.142696i | ||||
\(123\) | 2.53028 | + | 1.73643i | 0.228148 | + | 0.156569i | ||||
\(124\) | 0.0334968 | − | 0.615302i | 0.00300811 | − | 0.0552557i | ||||
\(125\) | 4.68667 | + | 0.879743i | 0.419189 | + | 0.0786866i | ||||
\(126\) | −0.837090 | + | 4.09691i | −0.0745739 | + | 0.364982i | ||||
\(127\) | −7.19045 | − | 17.3201i | −0.638049 | − | 1.53691i | −0.831338 | − | 0.555767i | \(-0.812425\pi\) |
0.193289 | − | 0.981142i | \(-0.438084\pi\) | |||||||
\(128\) | −6.62356 | − | 5.47806i | −0.585445 | − | 0.484196i | ||||
\(129\) | 1.08013 | + | 9.08245i | 0.0951006 | + | 0.799665i | ||||
\(130\) | −0.334595 | + | 1.69273i | −0.0293459 | + | 0.148463i | ||||
\(131\) | −2.21693 | − | 1.13585i | −0.193694 | − | 0.0992393i | 0.356430 | − | 0.934322i | \(-0.383994\pi\) |
−0.550124 | + | 0.835083i | \(0.685420\pi\) | |||||||
\(132\) | −16.2952 | − | 44.8202i | −1.41831 | − | 3.90110i | ||||
\(133\) | 2.97016 | − | 1.59446i | 0.257545 | − | 0.138257i | ||||
\(134\) | 9.90052 | + | 24.2856i | 0.855274 | + | 2.09796i | ||||
\(135\) | −0.738298 | − | 0.452917i | −0.0635426 | − | 0.0389809i | ||||
\(136\) | −13.9117 | + | 22.5155i | −1.19292 | + | 1.93069i | ||||
\(137\) | −2.98115 | − | 5.26676i | −0.254697 | − | 0.449970i | 0.713326 | − | 0.700832i | \(-0.247188\pi\) |
−0.968023 | + | 0.250863i | \(0.919286\pi\) | |||||||
\(138\) | −19.3123 | − | 17.2625i | −1.64398 | − | 1.46948i | ||||
\(139\) | 5.23028 | − | 9.97142i | 0.443626 | − | 0.845765i | −0.556265 | − | 0.831005i | \(-0.687766\pi\) |
0.999891 | − | 0.0147600i | \(-0.00469841\pi\) | |||||||
\(140\) | −0.141659 | + | 1.63591i | −0.0119723 | + | 0.138259i | ||||
\(141\) | 4.37437 | − | 19.4936i | 0.368388 | − | 1.64166i | ||||
\(142\) | −6.03937 | − | 15.9719i | −0.506812 | − | 1.34033i | ||||
\(143\) | 3.78260 | + | 4.98162i | 0.316317 | + | 0.416584i | ||||
\(144\) | −11.8984 | + | 12.8903i | −0.991536 | + | 1.07419i | ||||
\(145\) | 0.0994885 | + | 0.248580i | 0.00826207 | + | 0.0206435i | ||||
\(146\) | −23.8878 | + | 17.3089i | −1.97697 | + | 1.43249i | ||||
\(147\) | 3.05007 | + | 14.4556i | 0.251566 | + | 1.19227i | ||||
\(148\) | 21.6745 | + | 9.24303i | 1.78163 | + | 0.759773i | ||||
\(149\) | 2.25159 | + | 8.71839i | 0.184457 | + | 0.714239i | 0.992195 | + | 0.124696i | \(0.0397957\pi\) |
−0.807738 | + | 0.589542i | \(0.799308\pi\) | |||||||
\(150\) | −25.3342 | − | 11.7752i | −2.06853 | − | 0.961440i | ||||
\(151\) | 14.2267 | − | 5.12090i | 1.15775 | − | 0.416733i | 0.311882 | − | 0.950121i | \(-0.399041\pi\) |
0.845871 | + | 0.533388i | \(0.179081\pi\) | |||||||
\(152\) | 30.5627 | + | 1.56577i | 2.47896 | + | 0.127001i | ||||
\(153\) | −7.26882 | − | 5.05702i | −0.587649 | − | 0.408836i | ||||
\(154\) | 5.87653 | + | 6.20515i | 0.473544 | + | 0.500025i | ||||
\(155\) | 0.0655845 | 0.000419639i | 0.00526788 | 3.37062e-5i | ||||||
\(156\) | 6.20945 | − | 13.0309i | 0.497154 | − | 1.04331i | ||||
\(157\) | −6.31058 | − | 6.83661i | −0.503639 | − | 0.545621i | 0.430472 | − | 0.902604i | \(-0.358347\pi\) |
−0.934111 | + | 0.356983i | \(0.883805\pi\) | |||||||
\(158\) | −1.71901 | + | 9.66860i | −0.136757 | + | 0.769192i | ||||
\(159\) | 7.25602 | − | 1.70156i | 0.575440 | − | 0.134942i | ||||
\(160\) | −2.00069 | + | 2.74263i | −0.158169 | + | 0.216824i | ||||
\(161\) | 3.06900 | + | 1.01676i | 0.241871 | + | 0.0801315i | ||||
\(162\) | 19.1864 | + | 19.7469i | 1.50742 | + | 1.55146i | ||||
\(163\) | −3.45726 | + | 0.881074i | −0.270793 | + | 0.0690111i | −0.379928 | − | 0.925016i | \(-0.624051\pi\) |
0.109135 | + | 0.994027i | \(0.465192\pi\) | |||||||
\(164\) | −4.56811 | − | 4.13613i | −0.356709 | − | 0.322978i | ||||
\(165\) | 4.65622 | − | 2.02094i | 0.362486 | − | 0.157330i | ||||
\(166\) | −0.0470476 | + | 2.10053i | −0.00365160 | + | 0.163033i | ||||
\(167\) | −0.836598 | − | 4.53682i | −0.0647379 | − | 0.351070i | 0.935258 | − | 0.353967i | \(-0.115167\pi\) |
−0.999996 | + | 0.00289696i | \(0.999078\pi\) | |||||||
\(168\) | 3.66825 | − | 10.5064i | 0.283012 | − | 0.810583i | ||||
\(169\) | 1.59345 | − | 10.9919i | 0.122573 | − | 0.845529i | ||||
\(170\) | −4.39862 | − | 2.36130i | −0.337359 | − | 0.181103i | ||||
\(171\) | −1.07892 | + | 10.1817i | −0.0825073 | + | 0.778614i | ||||
\(172\) | 0.293781 | − | 18.3645i | 0.0224006 | − | 1.40028i | ||||
\(173\) | −20.2092 | + | 3.79350i | −1.53648 | + | 0.288415i | −0.883307 | − | 0.468795i | \(-0.844688\pi\) |
−0.653172 | + | 0.757210i | \(0.726562\pi\) | |||||||
\(174\) | −0.420612 | − | 3.18829i | −0.0318865 | − | 0.241704i | ||||
\(175\) | 3.48579 | + | 0.0892327i | 0.263501 | + | 0.00674536i | ||||
\(176\) | 7.62612 | + | 35.0322i | 0.574841 | + | 2.64065i | ||||
\(177\) | −26.1453 | − | 17.4546i | −1.96520 | − | 1.31197i | ||||
\(178\) | −13.8257 | + | 10.8510i | −1.03628 | + | 0.813315i | ||||
\(179\) | 11.9980 | + | 5.76443i | 0.896772 | + | 0.430854i | 0.824062 | − | 0.566500i | \(-0.191703\pi\) |
0.0727104 | + | 0.997353i | \(0.476835\pi\) | |||||||
\(180\) | −3.86338 | − | 3.15382i | −0.287959 | − | 0.235072i | ||||
\(181\) | 9.10655 | + | 18.2025i | 0.676884 | + | 1.35298i | 0.923399 | + | 0.383841i | \(0.125399\pi\) |
−0.246515 | + | 0.969139i | \(0.579285\pi\) | |||||||
\(182\) | −0.0910104 | + | 2.58512i | −0.00674614 | + | 0.191622i | ||||
\(183\) | −0.942974 | − | 2.54288i | −0.0697066 | − | 0.187975i | ||||
\(184\) | 19.0647 | + | 22.3146i | 1.40547 | + | 1.64506i | ||||
\(185\) | −0.841817 | + | 2.36240i | −0.0618916 | + | 0.173687i | ||||
\(186\) | −0.764575 | − | 0.189649i | −0.0560614 | − | 0.0139057i | ||||
\(187\) | −16.9884 | + | 6.23805i | −1.24232 | + | 0.456171i | ||||
\(188\) | −13.9488 | + | 37.6152i | −1.01732 | + | 2.74337i | ||||
\(189\) | −1.20082 | − | 0.494023i | −0.0873467 | − | 0.0359349i | ||||
\(190\) | 0.0554013 | + | 5.77227i | 0.00401923 | + | 0.418765i | ||||
\(191\) | −14.6382 | − | 7.73796i | −1.05919 | − | 0.559899i | −0.155385 | − | 0.987854i | \(-0.549662\pi\) |
−0.903800 | + | 0.427955i | \(0.859234\pi\) | |||||||
\(192\) | 3.63870 | − | 3.00941i | 0.262601 | − | 0.217185i | ||||
\(193\) | −6.44268 | − | 6.14070i | −0.463754 | − | 0.442017i | 0.421706 | − | 0.906733i | \(-0.361431\pi\) |
−0.885460 | + | 0.464716i | \(0.846157\pi\) | |||||||
\(194\) | 3.91034 | − | 14.0238i | 0.280746 | − | 1.00685i | ||||
\(195\) | 1.42451 | + | 0.575423i | 0.102011 | + | 0.0412069i | ||||
\(196\) | −2.18096 | − | 29.5868i | −0.155783 | − | 2.11334i | ||||
\(197\) | −9.72918 | + | 2.61249i | −0.693175 | + | 0.186132i | −0.588647 | − | 0.808390i | \(-0.700339\pi\) |
−0.104528 | + | 0.994522i | \(0.533333\pi\) | |||||||
\(198\) | −25.6253 | + | 4.13432i | −1.82111 | + | 0.293814i | ||||
\(199\) | −4.66418 | + | 7.23445i | −0.330635 | + | 0.512837i | −0.965713 | − | 0.259611i | \(-0.916406\pi\) |
0.635078 | + | 0.772448i | \(0.280968\pi\) | |||||||
\(200\) | 26.6593 | + | 17.0672i | 1.88509 | + | 1.20683i | ||||
\(201\) | 22.8935 | − | 4.60140i | 1.61478 | − | 0.324558i | ||||
\(202\) | −8.51042 | + | 6.08390i | −0.598791 | + | 0.428062i | ||||
\(203\) | 0.206597 | + | 0.344140i | 0.0145003 | + | 0.0241539i | ||||
\(204\) | 30.7791 | + | 28.2290i | 2.15497 | + | 1.97643i | ||||
\(205\) | 0.409876 | − | 0.512045i | 0.0286270 | − | 0.0357628i | ||||
\(206\) | −9.41109 | + | 11.3052i | −0.655702 | + | 0.787669i | ||||
\(207\) | −7.80146 | + | 5.96317i | −0.542239 | + | 0.414469i | ||||
\(208\) | −5.93838 | + | 9.08268i | −0.411752 | + | 0.629771i | ||||
\(209\) | 15.7787 | + | 13.7448i | 1.09143 | + | 0.950746i | ||||
\(210\) | 2.02017 | + | 0.570269i | 0.139405 | + | 0.0393523i | ||||
\(211\) | 1.09056 | + | 6.62466i | 0.0750774 | + | 0.456061i | 0.997548 | + | 0.0699923i | \(0.0222975\pi\) |
−0.922470 | + | 0.386068i | \(0.873833\pi\) | |||||||
\(212\) | −14.8971 | + | 1.43416i | −1.02314 | + | 0.0984984i | ||||
\(213\) | −14.9775 | + | 2.61350i | −1.02624 | + | 0.179074i | ||||
\(214\) | 13.6436 | + | 8.01353i | 0.932659 | + | 0.547794i | ||||
\(215\) | 1.95289 | − | 0.0875255i | 0.133186 | − | 0.00596919i | ||||
\(216\) | −7.00763 | − | 9.47837i | −0.476809 | − | 0.644922i | ||||
\(217\) | 0.0969641 | − | 0.0162812i | 0.00658235 | − | 0.00110524i | ||||
\(218\) | 32.3642 | − | 12.8331i | 2.19198 | − | 0.869166i | ||||
\(219\) | 11.1470 | + | 23.7833i | 0.753243 | + | 1.60712i | ||||
\(220\) | −9.80944 | + | 2.76909i | −0.661352 | + | 0.186692i | ||||
\(221\) | −4.95245 | − | 2.34052i | −0.333138 | − | 0.157440i | ||||
\(222\) | 16.8050 | − | 24.9987i | 1.12788 | − | 1.67780i | ||||
\(223\) | 7.45817 | − | 10.0878i | 0.499436 | − | 0.675526i | −0.480003 | − | 0.877267i | \(-0.659365\pi\) |
0.979439 | + | 0.201741i | \(0.0646598\pi\) | |||||||
\(224\) | −2.30612 | + | 4.53678i | −0.154084 | + | 0.303126i | ||||
\(225\) | −6.18655 | + | 8.59575i | −0.412437 | + | 0.573050i | ||||
\(226\) | 7.83351 | − | 7.95983i | 0.521077 | − | 0.529480i | ||||
\(227\) | −7.54000 | − | 12.7439i | −0.500448 | − | 0.845840i | 0.499341 | − | 0.866406i | \(-0.333576\pi\) |
−0.999789 | + | 0.0205656i | \(0.993453\pi\) | |||||||
\(228\) | 11.4759 | − | 46.9073i | 0.760013 | − | 3.10651i | ||||
\(229\) | 3.63461 | − | 16.6963i | 0.240182 | − | 1.10332i | −0.686398 | − | 0.727226i | \(-0.740809\pi\) |
0.926580 | − | 0.376099i | \(-0.122735\pi\) | |||||||
\(230\) | −3.98294 | + | 3.84518i | −0.262627 | + | 0.253544i | ||||
\(231\) | 6.40859 | − | 4.10277i | 0.421654 | − | 0.269942i | ||||
\(232\) | −0.0116573 | + | 3.64382i | −0.000765338 | + | 0.239229i | ||||
\(233\) | 3.63271 | − | 2.22853i | 0.237987 | − | 0.145996i | −0.398794 | − | 0.917041i | \(-0.630571\pi\) |
0.636781 | + | 0.771045i | \(0.280266\pi\) | |||||||
\(234\) | −6.33228 | − | 4.65038i | −0.413954 | − | 0.304005i | ||||
\(235\) | −4.08632 | − | 1.23868i | −0.266562 | − | 0.0808026i | ||||
\(236\) | 47.3332 | + | 41.7675i | 3.08113 | + | 2.71884i | ||||
\(237\) | 8.16867 | + | 3.11868i | 0.530612 | + | 0.202580i | ||||
\(238\) | −7.07373 | − | 2.44440i | −0.458522 | − | 0.158447i | ||||
\(239\) | 5.99116 | + | 7.38718i | 0.387536 | + | 0.477837i | 0.932783 | − | 0.360438i | \(-0.117373\pi\) |
−0.545247 | + | 0.838275i | \(0.683564\pi\) | |||||||
\(240\) | 6.01422 | + | 6.43248i | 0.388216 | + | 0.415215i | ||||
\(241\) | −6.40876 | − | 0.0410061i | −0.412825 | − | 0.00264143i | −0.200152 | − | 0.979765i | \(-0.564144\pi\) |
−0.212673 | + | 0.977123i | \(0.568217\pi\) | |||||||
\(242\) | −10.8167 | + | 22.3304i | −0.695323 | + | 1.43545i | ||||
\(243\) | 16.0327 | − | 10.5558i | 1.02850 | − | 0.677153i | ||||
\(244\) | 1.19245 | + | 5.31395i | 0.0763389 | + | 0.340191i | ||||
\(245\) | 3.12912 | − | 0.422994i | 0.199912 | − | 0.0270241i | ||||
\(246\) | −6.28930 | + | 4.74388i | −0.400991 | + | 0.302459i | ||||
\(247\) | 0.384753 | + | 6.32200i | 0.0244812 | + | 0.402259i | ||||
\(248\) | 0.829719 | + | 0.329000i | 0.0526872 | + | 0.0208915i | ||||
\(249\) | 1.82920 | + | 0.392071i | 0.115921 | + | 0.0248465i | ||||
\(250\) | −5.96161 | + | 10.6913i | −0.377045 | + | 0.676177i | ||||
\(251\) | −4.72868 | + | 15.7813i | −0.298472 | + | 0.996105i | 0.669029 | + | 0.743236i | \(0.266710\pi\) |
−0.967501 | + | 0.252869i | \(0.918626\pi\) | |||||||
\(252\) | −6.47081 | − | 3.74513i | −0.407623 | − | 0.235921i | ||||
\(253\) | 0.834411 | + | 20.0516i | 0.0524590 | + | 1.26063i | ||||
\(254\) | 48.0218 | − | 3.38546i | 3.01316 | − | 0.212423i | ||||
\(255\) | −2.79997 | + | 3.45240i | −0.175341 | + | 0.216198i | ||||
\(256\) | 22.2417 | − | 13.8410i | 1.39010 | − | 0.865064i | ||||
\(257\) | 22.5152 | − | 15.6642i | 1.40446 | − | 0.977103i | 0.406475 | − | 0.913662i | \(-0.366758\pi\) |
0.997986 | − | 0.0634412i | \(-0.0202075\pi\) | |||||||
\(258\) | −22.9891 | − | 4.77385i | −1.43124 | − | 0.297207i | ||||
\(259\) | −0.681793 | + | 3.69733i | −0.0423646 | + | 0.229741i | ||||
\(260\) | −2.67996 | − | 1.52828i | −0.166204 | − | 0.0947801i | ||||
\(261\) | −1.21709 | − | 0.0701641i | −0.0753362 | − | 0.00434305i | ||||
\(262\) | 4.57193 | − | 4.47067i | 0.282454 | − | 0.276199i | ||||
\(263\) | −3.07610 | − | 12.5734i | −0.189680 | − | 0.775309i | −0.985486 | − | 0.169757i | \(-0.945702\pi\) |
0.795806 | − | 0.605552i | \(-0.207048\pi\) | |||||||
\(264\) | 69.0557 | − | 1.76776i | 4.25008 | − | 0.108798i | ||||
\(265\) | −0.248678 | − | 1.57335i | −0.0152762 | − | 0.0966502i | ||||
\(266\) | 1.46028 | + | 8.52966i | 0.0895355 | + | 0.522987i | ||||
\(267\) | 7.18013 | + | 13.9043i | 0.439417 | + | 0.850932i | ||||
\(268\) | −46.7955 | + | 2.99823i | −2.85849 | + | 0.183146i | ||||
\(269\) | 13.3062 | + | 14.9825i | 0.811296 | + | 0.913496i | 0.997617 | − | 0.0689925i | \(-0.0219784\pi\) |
−0.186322 | + | 0.982489i | \(0.559657\pi\) | |||||||
\(270\) | 1.70429 | − | 1.42800i | 0.103720 | − | 0.0869055i | ||||
\(271\) | −27.7426 | + | 0.532587i | −1.68524 | + | 0.0323524i | −0.852954 | − | 0.521987i | \(-0.825191\pi\) |
−0.832291 | + | 0.554339i | \(0.812971\pi\) | |||||||
\(272\) | −20.0876 | − | 24.1304i | −1.21799 | − | 1.46312i | ||||
\(273\) | 2.24566 | + | 0.511478i | 0.135914 | + | 0.0309560i | ||||
\(274\) | 15.2504 | − | 2.96381i | 0.921309 | − | 0.179050i | ||||
\(275\) | 7.13484 | + | 20.4351i | 0.430247 | + | 1.23228i | ||||
\(276\) | 40.2315 | − | 22.9425i | 2.42165 | − | 1.38098i | ||||
\(277\) | 25.8972 | − | 12.8527i | 1.55601 | − | 0.772246i | 0.557684 | − | 0.830053i | \(-0.311690\pi\) |
0.998328 | + | 0.0578077i | \(0.0184110\pi\) | |||||||
\(278\) | 20.0094 | + | 20.8594i | 1.20008 | + | 1.25106i | ||||
\(279\) | −0.125000 | + | 0.271204i | −0.00748357 | + | 0.0162365i | ||||
\(280\) | −2.18179 | − | 0.946963i | −0.130387 | − | 0.0565918i | ||||
\(281\) | −0.0572671 | − | 0.126369i | −0.00341627 | − | 0.00753853i | 0.909120 | − | 0.416533i | \(-0.136755\pi\) |
−0.912537 | + | 0.408995i | \(0.865879\pi\) | |||||||
\(282\) | 43.8862 | + | 26.5375i | 2.61338 | + | 1.58028i | ||||
\(283\) | 13.7034 | + | 10.8974i | 0.814581 | + | 0.647781i | 0.938796 | − | 0.344474i | \(-0.111943\pi\) |
−0.124215 | + | 0.992255i | \(0.539641\pi\) | |||||||
\(284\) | 30.5080 | − | 1.17178i | 1.81032 | − | 0.0695325i | ||||
\(285\) | 5.05750 | + | 0.915892i | 0.299581 | + | 0.0542527i | ||||
\(286\) | −15.2096 | + | 5.14713i | −0.899360 | + | 0.304356i | ||||
\(287\) | 0.484347 | − | 0.855690i | 0.0285901 | − | 0.0505098i | ||||
\(288\) | −7.44137 | − | 13.5481i | −0.438487 | − | 0.798331i | ||||
\(289\) | −0.775572 | + | 0.851084i | −0.0456219 | + | 0.0500637i | ||||
\(290\) | −0.686192 | + | 0.0395582i | −0.0402946 | + | 0.00232294i | ||||
\(291\) | −11.6115 | − | 5.76274i | −0.680676 | − | 0.337818i | ||||
\(292\) | −15.7845 | − | 50.3269i | −0.923716 | − | 2.94516i | ||||
\(293\) | 3.84773 | − | 1.00685i | 0.224787 | − | 0.0588206i | −0.139042 | − | 0.990287i | \(-0.544402\pi\) |
0.363828 | + | 0.931466i | \(0.381469\pi\) | |||||||
\(294\) | −37.6741 | − | 4.35823i | −2.19720 | − | 0.254177i | ||||
\(295\) | −4.13123 | + | 5.29860i | −0.240530 | + | 0.308496i | ||||
\(296\) | −22.6640 | + | 25.5191i | −1.31732 | + | 1.48327i | ||||
\(297\) | 0.232041 | − | 8.05682i | 0.0134644 | − | 0.467504i | ||||
\(298\) | −23.0577 | − | 1.62553i | −1.33570 | − | 0.0941646i | ||||
\(299\) | −4.14854 | + | 4.43705i | −0.239916 | + | 0.256601i | ||||
\(300\) | 34.3468 | − | 36.2675i | 1.98301 | − | 2.09391i | ||||
\(301\) | 2.86935 | − | 0.595842i | 0.165387 | − | 0.0343438i | ||||
\(302\) | 0.869153 | + | 38.8050i | 0.0500141 | + | 2.23297i | ||||
\(303\) | 3.89900 | + | 8.45935i | 0.223991 | + | 0.485977i | ||||
\(304\) | −13.2736 | + | 33.7903i | −0.761293 | + | 1.93801i | ||||
\(305\) | −0.556830 | + | 0.161040i | −0.0318840 | + | 0.00922114i | ||||
\(306\) | 18.2347 | − | 13.5719i | 1.04241 | − | 0.775854i | ||||
\(307\) | −18.1393 | + | 17.9661i | −1.03527 | + | 1.02538i | −0.0356036 | + | 0.999366i | \(0.511335\pi\) |
−0.999662 | + | 0.0260107i | \(0.991720\pi\) | |||||||
\(308\) | −13.8567 | + | 6.44049i | −0.789556 | + | 0.366981i | ||||
\(309\) | 8.31489 | + | 10.1193i | 0.473018 | + | 0.575669i | ||||
\(310\) | −0.0524367 | + | 0.159989i | −0.00297820 | + | 0.00908677i | ||||
\(311\) | 0.498262 | − | 0.332640i | 0.0282538 | − | 0.0188623i | −0.541031 | − | 0.841003i | \(-0.681966\pi\) |
0.569284 | + | 0.822141i | \(0.307220\pi\) | |||||||
\(312\) | 15.0422 | + | 14.5220i | 0.851598 | + | 0.822145i | ||||
\(313\) | −17.2309 | − | 3.46327i | −0.973949 | − | 0.195756i | −0.315951 | − | 0.948775i | \(-0.602324\pi\) |
−0.657998 | + | 0.753020i | \(0.728597\pi\) | |||||||
\(314\) | 21.7856 | − | 9.78878i | 1.22943 | − | 0.552413i | ||||
\(315\) | 0.356035 | − | 0.711655i | 0.0200603 | − | 0.0400972i | ||||
\(316\) | −15.4166 | − | 8.40353i | −0.867249 | − | 0.472736i | ||||
\(317\) | −26.5799 | + | 13.4042i | −1.49287 | + | 0.752853i | −0.993532 | − | 0.113551i | \(-0.963777\pi\) |
−0.499342 | + | 0.866405i | \(0.666425\pi\) | |||||||
\(318\) | −1.77244 | + | 19.0497i | −0.0993937 | + | 1.06825i | ||||
\(319\) | −1.54457 | + | 1.95510i | −0.0864795 | + | 0.109464i | ||||
\(320\) | −0.584282 | − | 0.822871i | −0.0326624 | − | 0.0459999i | ||||
\(321\) | 9.28776 | − | 10.5935i | 0.518392 | − | 0.591272i | ||||
\(322\) | −4.97656 | + | 6.64186i | −0.277333 | + | 0.370137i | ||||
\(323\) | −17.8142 | − | 4.29790i | −0.991206 | − | 0.239142i | ||||
\(324\) | −44.3721 | + | 21.3185i | −2.46512 | + | 1.18436i | ||||
\(325\) | −2.89368 | + | 5.87767i | −0.160512 | + | 0.326034i | ||||
\(326\) | 0.673297 | − | 9.13389i | 0.0372905 | − | 0.505879i | ||||
\(327\) | −5.81648 | − | 30.4487i | −0.321652 | − | 1.68382i | ||||
\(328\) | 7.78201 | − | 4.37204i | 0.429690 | − | 0.241406i | ||||
\(329\) | −6.34348 | − | 0.857511i | −0.349727 | − | 0.0472761i | ||||
\(330\) | 1.12411 | + | 12.9815i | 0.0618804 | + | 0.714609i | ||||
\(331\) | 17.0195 | + | 7.12959i | 0.935477 | + | 0.391878i | 0.800746 | − | 0.599005i | \(-0.204437\pi\) |
0.134732 | + | 0.990882i | \(0.456983\pi\) | |||||||
\(332\) | −3.53460 | − | 1.27228i | −0.193986 | − | 0.0698254i | ||||
\(333\) | −8.11306 | − | 8.03556i | −0.444593 | − | 0.440346i | ||||
\(334\) | 11.7255 | + | 1.66152i | 0.641593 | + | 0.0909143i | ||||
\(335\) | −0.621081 | − | 4.95203i | −0.0339333 | − | 0.270559i | ||||
\(336\) | 10.4369 | + | 8.08393i | 0.569380 | + | 0.441015i | ||||
\(337\) | 3.94762 | − | 6.29856i | 0.215041 | − | 0.343105i | −0.722263 | − | 0.691618i | \(-0.756898\pi\) |
0.937304 | + | 0.348514i | \(0.113314\pi\) | |||||||
\(338\) | 25.4578 | + | 12.8383i | 1.38472 | + | 0.698312i | ||||
\(339\) | −5.65271 | − | 8.18075i | −0.307013 | − | 0.444317i | ||||
\(340\) | 6.50061 | − | 6.11702i | 0.352545 | − | 0.331742i | ||||
\(341\) | 0.307414 | + | 0.527250i | 0.0166474 | + | 0.0285522i | ||||
\(342\) | −23.9050 | − | 10.9255i | −1.29264 | − | 0.590782i | ||||
\(343\) | 9.43598 | − | 2.86031i | 0.509495 | − | 0.154442i | ||||
\(344\) | 25.0887 | + | 8.84977i | 1.35269 | + | 0.477148i | ||||
\(345\) | 2.69747 | + | 4.12575i | 0.145227 | + | 0.222123i | ||||
\(346\) | 7.23839 | − | 52.2857i | 0.389138 | − | 2.81090i | ||||
\(347\) | −4.12920 | − | 1.82368i | −0.221667 | − | 0.0979004i | 0.290197 | − | 0.956967i | \(-0.406279\pi\) |
−0.511864 | + | 0.859066i | \(0.671045\pi\) | |||||||
\(348\) | 5.64434 | + | 1.09694i | 0.302568 | + | 0.0588021i | ||||
\(349\) | 0.0977777 | + | 0.674488i | 0.00523392 | + | 0.0361045i | 0.992108 | − | 0.125390i | \(-0.0400182\pi\) |
−0.986874 | + | 0.161495i | \(0.948369\pi\) | |||||||
\(350\) | −3.05849 | + | 8.41243i | −0.163483 | + | 0.449663i | ||||
\(351\) | 1.78735 | − | 1.66045i | 0.0954016 | − | 0.0886280i | ||||
\(352\) | −31.4046 | − | 3.42947i | −1.67387 | − | 0.182792i | ||||
\(353\) | −7.67873 | − | 7.70334i | −0.408698 | − | 0.410007i | 0.473569 | − | 0.880757i | \(-0.342965\pi\) |
−0.882267 | + | 0.470749i | \(0.843984\pi\) | |||||||
\(354\) | 63.7993 | − | 49.4160i | 3.39090 | − | 2.62643i | ||||
\(355\) | 0.321737 | + | 3.23351i | 0.0170760 | + | 0.171617i | ||||
\(356\) | −10.5480 | − | 29.6009i | −0.559042 | − | 1.56884i | ||||
\(357\) | −3.31957 | + | 5.77809i | −0.175690 | + | 0.305809i | ||||
\(358\) | −23.8115 | + | 24.5071i | −1.25848 | + | 1.29524i | ||||
\(359\) | 4.44559 | − | 2.31372i | 0.234629 | − | 0.122114i | −0.340300 | − | 0.940317i | \(-0.610529\pi\) |
0.574929 | + | 0.818203i | \(0.305030\pi\) | |||||||
\(360\) | 6.10867 | − | 3.85588i | 0.321955 | − | 0.203223i | ||||
\(361\) | 0.574467 | + | 2.11237i | 0.0302351 | + | 0.111177i | ||||
\(362\) | −51.7316 | + | 7.33042i | −2.71895 | + | 0.385278i | ||||
\(363\) | 17.7224 | + | 13.1906i | 0.930185 | + | 0.692325i | ||||
\(364\) | −4.33123 | − | 1.62193i | −0.227018 | − | 0.0850121i | ||||
\(365\) | 5.24453 | − | 2.00229i | 0.274511 | − | 0.104804i | ||||
\(366\) | 6.95855 | − | 0.222692i | 0.363729 | − | 0.0116403i | ||||
\(367\) | −1.87304 | − | 16.6579i | −0.0977719 | − | 0.869536i | −0.942470 | − | 0.334292i | \(-0.891503\pi\) |
0.844698 | − | 0.535244i | \(-0.179780\pi\) | |||||||
\(368\) | −32.2831 | + | 13.0405i | −1.68287 | + | 0.679785i | ||||
\(369\) | 1.31905 | + | 2.67928i | 0.0686672 | + | 0.139478i | ||||
\(370\) | −5.06442 | − | 3.97476i | −0.263287 | − | 0.206638i | ||||
\(371\) | −0.743721 | − | 2.26916i | −0.0386121 | − | 0.117809i | ||||
\(372\) | 0.755602 | − | 1.18862i | 0.0391762 | − | 0.0616271i | ||||
\(373\) | 1.22750 | − | 29.4978i | 0.0635576 | − | 1.52734i | −0.612488 | − | 0.790480i | \(-0.709831\pi\) |
0.676046 | − | 0.736860i | \(-0.263692\pi\) | |||||||
\(374\) | −1.33745 | − | 46.4382i | −0.0691577 | − | 2.40126i | ||||
\(375\) | 8.35430 | + | 6.99998i | 0.431414 | + | 0.361477i | ||||
\(376\) | −45.2496 | − | 36.4590i | −2.33357 | − | 1.88023i | ||||
\(377\) | −0.749691 | + | 0.0818685i | −0.0386110 | + | 0.00421644i | ||||
\(378\) | 2.18135 | − | 2.52037i | 0.112197 | − | 0.129634i | ||||
\(379\) | 7.54506 | + | 2.33994i | 0.387564 | + | 0.120194i | 0.483832 | − | 0.875161i | \(-0.339245\pi\) |
−0.0962682 | + | 0.995355i | \(0.530691\pi\) | |||||||
\(380\) | −9.81796 | − | 3.18311i | −0.503651 | − | 0.163290i | ||||
\(381\) | 5.06194 | − | 42.5640i | 0.259331 | − | 2.18062i | ||||
\(382\) | 30.7675 | − | 29.3254i | 1.57420 | − | 1.50042i | ||||
\(383\) | −3.31608 | − | 6.22489i | −0.169444 | − | 0.318077i | 0.783411 | − | 0.621504i | \(-0.213478\pi\) |
−0.952855 | + | 0.303427i | \(0.901869\pi\) | |||||||
\(384\) | −7.06598 | − | 18.3315i | −0.360585 | − | 0.935476i | ||||
\(385\) | −0.773810 | − | 1.43045i | −0.0394370 | − | 0.0729025i | ||||
\(386\) | 20.1992 | − | 10.6776i | 1.02811 | − | 0.543474i | ||||
\(387\) | −3.41276 | + | 8.22053i | −0.173480 | + | 0.417873i | ||||
\(388\) | 21.5564 | + | 14.5913i | 1.09436 | + | 0.740761i | ||||
\(389\) | −34.1732 | − | 12.5482i | −1.73265 | − | 0.636218i | −0.733589 | − | 0.679593i | \(-0.762156\pi\) |
−0.999059 | + | 0.0433755i | \(0.986189\pi\) | |||||||
\(390\) | −2.56183 | + | 2.99855i | −0.129723 | + | 0.151837i | ||||
\(391\) | −8.75499 | − | 15.2391i | −0.442759 | − | 0.770672i | ||||
\(392\) | 41.6409 | + | 10.6121i | 2.10318 | + | 0.535991i | ||||
\(393\) | −3.14610 | − | 4.74536i | −0.158700 | − | 0.239372i | ||||
\(394\) | 1.57093 | − | 25.8124i | 0.0791421 | − | 1.30041i | ||||
\(395\) | 0.793092 | − | 1.69215i | 0.0399048 | − | 0.0851411i | ||||
\(396\) | 7.53855 | − | 45.7932i | 0.378826 | − | 2.30120i | ||||
\(397\) | 1.68746 | − | 25.0796i | 0.0846911 | − | 1.25871i | −0.731867 | − | 0.681448i | \(-0.761351\pi\) |
0.816558 | − | 0.577263i | \(-0.195879\pi\) | |||||||
\(398\) | −13.8084 | − | 17.2504i | −0.692154 | − | 0.864687i | ||||
\(399\) | 7.70374 | + | 0.147892i | 0.385669 | + | 0.00740386i | ||||
\(400\) | −29.2409 | + | 23.5603i | −1.46205 | + | 1.17802i | ||||
\(401\) | −12.4031 | + | 12.4428i | −0.619381 | + | 0.621366i | −0.946146 | − | 0.323740i | \(-0.895060\pi\) |
0.326765 | + | 0.945106i | \(0.394041\pi\) | |||||||
\(402\) | −7.45974 | + | 59.4784i | −0.372058 | + | 2.96651i | ||||
\(403\) | −0.0484772 | + | 0.178256i | −0.00241482 | + | 0.00887954i | ||||
\(404\) | −5.48332 | − | 17.8828i | −0.272805 | − | 0.889704i | ||||
\(405\) | −2.55171 | − | 4.57613i | −0.126795 | − | 0.227390i | ||||
\(406\) | −1.00611 | + | 0.222393i | −0.0499324 | + | 0.0110372i | ||||
\(407\) | −22.9643 | + | 4.15874i | −1.13830 | + | 0.206141i | ||||
\(408\) | −52.9290 | + | 29.2923i | −2.62038 | + | 1.45019i | ||||
\(409\) | −5.66615 | − | 6.29830i | −0.280173 | − | 0.311431i | 0.586853 | − | 0.809693i | \(-0.300367\pi\) |
−0.867026 | + | 0.498263i | \(0.833971\pi\) | |||||||
\(410\) | 0.912338 | + | 1.41510i | 0.0450572 | + | 0.0698867i | ||||
\(411\) | −0.0442533 | − | 13.8327i | −0.00218285 | − | 0.682315i | ||||
\(412\) | −13.8243 | − | 22.3741i | −0.681076 | − | 1.10229i | ||||
\(413\) | −4.84899 | + | 8.82831i | −0.238603 | + | 0.434413i | ||||
\(414\) | −8.15666 | − | 23.8510i | −0.400878 | − | 1.17221i | ||||
\(415\) | 0.112310 | − | 0.383732i | 0.00551310 | − | 0.0188367i | ||||
\(416\) | −5.92751 | − | 7.50295i | −0.290620 | − | 0.367862i | ||||
\(417\) | 21.5858 | − | 14.0147i | 1.05706 | − | 0.686304i | ||||
\(418\) | −46.3190 | + | 27.2053i | −2.26554 | + | 1.33066i | ||||
\(419\) | 6.94248 | − | 5.89304i | 0.339162 | − | 0.287894i | −0.461340 | − | 0.887223i | \(-0.652631\pi\) |
0.800502 | + | 0.599329i | \(0.204566\pi\) | |||||||
\(420\) | −2.11374 | + | 3.10131i | −0.103140 | + | 0.151328i | ||||
\(421\) | 37.4212 | − | 3.84438i | 1.82380 | − | 0.187364i | 0.871062 | − | 0.491172i | \(-0.163432\pi\) |
0.952733 | + | 0.303809i | \(0.0982584\pi\) | |||||||
\(422\) | −17.0148 | − | 2.74512i | −0.828267 | − | 0.133630i | ||||
\(423\) | 13.0029 | − | 14.4536i | 0.632225 | − | 0.702759i | ||||
\(424\) | 4.88168 | − | 21.1209i | 0.237076 | − | 1.02572i | ||||
\(425\) | −13.8044 | − | 12.9898i | −0.669610 | − | 0.630097i | ||||
\(426\) | 5.84638 | − | 38.5888i | 0.283258 | − | 1.86963i | ||||
\(427\) | −0.785649 | + | 0.371296i | −0.0380202 | + | 0.0179683i | ||||
\(428\) | −21.3322 | + | 18.5824i | −1.03113 | + | 0.898216i | ||||
\(429\) | 1.96053 | + | 14.1617i | 0.0946555 | + | 0.683734i | ||||
\(430\) | −1.37875 | + | 4.82510i | −0.0664893 | + | 0.232687i | ||||
\(431\) | 2.28034 | + | 11.5364i | 0.109840 | + | 0.555687i | 0.995771 | + | 0.0918697i | \(0.0292843\pi\) |
−0.885931 | + | 0.463817i | \(0.846479\pi\) | |||||||
\(432\) | 13.3019 | − | 4.31264i | 0.639987 | − | 0.207492i | ||||
\(433\) | −27.5871 | + | 0.353044i | −1.32575 | + | 0.0169662i | −0.672457 | − | 0.740137i | \(-0.734761\pi\) |
−0.653296 | + | 0.757103i | \(0.726614\pi\) | |||||||
\(434\) | −0.0394039 | + | 0.249303i | −0.00189145 | + | 0.0119669i | ||||
\(435\) | −0.0800422 | + | 0.606731i | −0.00383773 | + | 0.0290905i | ||||
\(436\) | 3.38381 | + | 62.1571i | 0.162055 | + | 2.97678i | ||||
\(437\) | −10.5708 | + | 17.3557i | −0.505670 | + | 0.830237i | ||||
\(438\) | −66.9796 | + | 7.74836i | −3.20041 | + | 0.370231i | ||||
\(439\) | −11.0418 | + | 4.29676i | −0.526998 | + | 0.205073i | −0.611346 | − | 0.791363i | \(-0.709372\pi\) |
0.0843482 | + | 0.996436i | \(0.473119\pi\) | |||||||
\(440\) | 0.708216 | − | 14.7470i | 0.0337629 | − | 0.703033i | ||||
\(441\) | −4.30253 | + | 13.7181i | −0.204883 | + | 0.653244i | ||||
\(442\) | 9.73409 | − | 10.1476i | 0.463004 | − | 0.482671i | ||||
\(443\) | −1.68097 | − | 4.27921i | −0.0798654 | − | 0.203311i | 0.885262 | − | 0.465093i | \(-0.153979\pi\) |
−0.965127 | + | 0.261782i | \(0.915690\pi\) | |||||||
\(444\) | 32.8432 | + | 42.6841i | 1.55867 | + | 2.02570i | ||||
\(445\) | 3.07652 | − | 1.31197i | 0.145841 | − | 0.0621935i | ||||
\(446\) | 18.4766 | + | 26.3774i | 0.874893 | + | 1.24900i | ||||
\(447\) | −5.27378 | + | 19.8940i | −0.249441 | + | 0.940955i | ||||
\(448\) | −1.06121 | − | 1.07833i | −0.0501376 | − | 0.0509461i | ||||
\(449\) | −6.75324 | + | 1.04526i | −0.318705 | + | 0.0493289i | −0.310309 | − | 0.950636i | \(-0.600432\pi\) |
−0.00839641 | + | 0.999965i | \(0.502673\pi\) | |||||||
\(450\) | −15.8813 | − | 22.0658i | −0.748650 | − | 1.04019i | ||||
\(451\) | 6.03169 | + | 0.933579i | 0.284021 | + | 0.0439605i | ||||
\(452\) | 9.04813 | + | 17.8002i | 0.425588 | + | 0.837249i | ||||
\(453\) | 34.0828 | + | 5.72281i | 1.60135 | + | 0.268881i | ||||
\(454\) | 37.1672 | − | 7.96644i | 1.74434 | − | 0.373884i | ||||
\(455\) | 0.144305 | − | 0.470625i | 0.00676514 | − | 0.0220632i | ||||
\(456\) | 59.1498 | + | 37.3362i | 2.76994 | + | 1.74843i | ||||
\(457\) | 37.1491 | + | 3.09715i | 1.73776 | + | 0.144879i | 0.909565 | − | 0.415562i | \(-0.136415\pi\) |
0.828194 | + | 0.560441i | \(0.189368\pi\) | |||||||
\(458\) | 37.6799 | + | 22.4567i | 1.76067 | + | 1.04933i | ||||
\(459\) | 3.07711 | + | 6.35250i | 0.143627 | + | 0.296509i | ||||
\(460\) | −4.25807 | − | 8.93580i | −0.198533 | − | 0.416634i | ||||
\(461\) | −4.87009 | + | 12.1683i | −0.226823 | + | 0.566735i | −0.997514 | − | 0.0704740i | \(-0.977549\pi\) |
0.770691 | + | 0.637209i | \(0.219911\pi\) | |||||||
\(462\) | 4.76337 | + | 18.9441i | 0.221612 | + | 0.881359i | ||||
\(463\) | −20.6281 | + | 18.4387i | −0.958671 | + | 0.856918i | −0.989781 | − | 0.142598i | \(-0.954454\pi\) |
0.0311099 | + | 0.999516i | \(0.490096\pi\) | |||||||
\(464\) | −4.09456 | − | 1.38566i | −0.190085 | − | 0.0643276i | ||||
\(465\) | 0.131161 | + | 0.0725880i | 0.00608245 | + | 0.00336619i | ||||
\(466\) | 2.46368 | + | 10.6593i | 0.114128 | + | 0.493782i | ||||
\(467\) | −12.2058 | + | 20.9343i | −0.564817 | + | 0.968725i | 0.432917 | + | 0.901434i | \(0.357484\pi\) |
−0.997733 | + | 0.0672910i | \(0.978564\pi\) | |||||||
\(468\) | 11.4794 | − | 8.09585i | 0.530634 | − | 0.374231i | ||||
\(469\) | −2.10163 | − | 7.18065i | −0.0970441 | − | 0.331572i | ||||
\(470\) | 6.34600 | − | 8.93735i | 0.292719 | − | 0.412249i | ||||
\(471\) | −4.92135 | − | 20.6883i | −0.226764 | − | 0.953269i | ||||
\(472\) | −79.1379 | + | 45.8029i | −3.64262 | + | 2.10825i | ||||
\(473\) | 9.75917 | + | 15.3519i | 0.448727 | + | 0.705883i | ||||
\(474\) | −14.2498 | + | 17.3423i | −0.654517 | + | 0.796557i | ||||
\(475\) | −5.48049 | + | 21.2210i | −0.251462 | + | 0.973688i | ||||
\(476\) | 8.16022 | − | 10.6053i | 0.374023 | − | 0.486094i | ||||
\(477\) | 6.96716 | + | 2.01497i | 0.319004 | + | 0.0922589i | ||||
\(478\) | −22.8654 | + | 8.56247i | −1.04584 | + | 0.391638i | ||||
\(479\) | 31.5193 | − | 27.8131i | 1.44015 | − | 1.27081i | 0.535584 | − | 0.844482i | \(-0.320092\pi\) |
0.904568 | − | 0.426329i | \(-0.140193\pi\) | |||||||
\(480\) | −7.05729 | + | 3.22544i | −0.322120 | + | 0.147220i | ||||
\(481\) | −5.77260 | − | 4.07114i | −0.263208 | − | 0.185628i | ||||
\(482\) | 5.32362 | − | 15.5669i | 0.242484 | − | 0.709053i | ||||
\(483\) | 4.97736 | + | 5.46197i | 0.226478 | + | 0.248528i | ||||
\(484\) | −31.7189 | − | 31.0164i | −1.44177 | − | 1.40984i | ||||
\(485\) | −1.41077 | + | 2.38443i | −0.0640596 | + | 0.108271i | ||||
\(486\) | 12.6267 | + | 47.6311i | 0.572760 | + | 2.16059i | ||||
\(487\) | −0.149560 | + | 0.177341i | −0.00677722 | + | 0.00803608i | −0.767821 | − | 0.640665i | \(-0.778659\pi\) |
0.761043 | + | 0.648701i | \(0.224687\pi\) | |||||||
\(488\) | −7.84722 | − | 0.806167i | −0.355227 | − | 0.0364935i | ||||
\(489\) | −7.87573 | − | 2.11480i | −0.356153 | − | 0.0956344i | ||||
\(490\) | −1.52089 | + | 7.96173i | −0.0687070 | + | 0.359674i | ||||
\(491\) | −9.06372 | − | 27.0678i | −0.409040 | − | 1.22155i | −0.929869 | − | 0.367892i | \(-0.880080\pi\) |
0.520829 | − | 0.853661i | \(-0.325623\pi\) | |||||||
\(492\) | −4.47239 | − | 13.3563i | −0.201631 | − | 0.602148i | ||||
\(493\) | 0.409410 | − | 2.14322i | 0.0184389 | − | 0.0965259i | ||||
\(494\) | −15.7027 | − | 4.21651i | −0.706499 | − | 0.189710i | ||||
\(495\) | 4.91369 | + | 0.504797i | 0.220854 | + | 0.0226889i | ||||
\(496\) | −0.682630 | + | 0.809428i | −0.0306510 | + | 0.0363444i | ||||
\(497\) | 1.24826 | + | 4.70873i | 0.0559919 | + | 0.211215i | ||||
\(498\) | −2.44537 | + | 4.13309i | −0.109580 | + | 0.185208i | ||||
\(499\) | 4.59277 | + | 4.49106i | 0.205601 | + | 0.201047i | 0.794681 | − | 0.607027i | \(-0.207638\pi\) |
−0.589080 | + | 0.808075i | \(0.700510\pi\) | |||||||
\(500\) | −14.7419 | − | 16.1772i | −0.659277 | − | 0.723466i | ||||
\(501\) | 3.41204 | − | 9.97720i | 0.152439 | − | 0.445749i | ||||
\(502\) | −34.5607 | − | 24.3740i | −1.54252 | − | 1.08786i | ||||
\(503\) | −10.5795 | + | 4.83524i | −0.471719 | + | 0.215593i | −0.637318 | − | 0.770601i | \(-0.719956\pi\) |
0.165600 | + | 0.986193i | \(0.447044\pi\) | |||||||
\(504\) | 8.12006 | − | 7.16526i | 0.361696 | − | 0.319166i | ||||
\(505\) | 1.86437 | − | 0.698154i | 0.0829633 | − | 0.0310675i | ||||
\(506\) | −49.4900 | − | 14.3129i | −2.20010 | − | 0.636288i | ||||
\(507\) | 15.4811 | − | 20.1198i | 0.687540 | − | 0.893550i | ||||
\(508\) | −21.5231 | + | 83.3399i | −0.954934 | + | 3.69761i | ||||
\(509\) | −8.04392 | + | 9.78956i | −0.356540 | + | 0.433915i | −0.919813 | − | 0.392356i | \(-0.871660\pi\) |
0.563273 | + | 0.826271i | \(0.309542\pi\) | |||||||
\(510\) | −6.12164 | − | 9.62981i | −0.271071 | − | 0.426415i | ||||
\(511\) | 7.28375 | − | 4.21564i | 0.322214 | − | 0.186489i | ||||
\(512\) | 11.5845 | + | 48.6988i | 0.511967 | + | 2.15220i | ||||
\(513\) | 4.72517 | − | 6.65467i | 0.208621 | − | 0.293811i | ||||
\(514\) | 19.7777 | + | 67.5748i | 0.872359 | + | 2.98060i | ||||
\(515\) | 2.28758 | − | 1.61332i | 0.100803 | − | 0.0710913i | ||||
\(516\) | 21.1451 | − | 36.2663i | 0.930862 | − | 1.59653i | ||||
\(517\) | −8.94804 | − | 38.7142i | −0.393534 | − | 1.70265i | ||||
\(518\) | −8.44436 | − | 4.67333i | −0.371024 | − | 0.205335i | ||||
\(519\) | −44.5182 | − | 15.0656i | −1.95413 | − | 0.661306i | ||||
\(520\) | 3.33169 | − | 2.97807i | 0.146104 | − | 0.130597i | ||||
\(521\) | 7.80332 | + | 31.0341i | 0.341870 | + | 1.35963i | 0.862591 | + | 0.505902i | \(0.168840\pi\) |
−0.520721 | + | 0.853727i | \(0.674337\pi\) | |||||||
\(522\) | 1.16285 | − | 2.90548i | 0.0508966 | − | 0.127169i | ||||
\(523\) | −4.21711 | − | 8.84986i | −0.184402 | − | 0.386977i | 0.789566 | − | 0.613666i | \(-0.210306\pi\) |
−0.973967 | + | 0.226688i | \(0.927210\pi\) | |||||||
\(524\) | 4.98416 | + | 10.2895i | 0.217734 | + | 0.449499i | ||||
\(525\) | 6.84628 | + | 4.08028i | 0.298796 | + | 0.178078i | ||||
\(526\) | 33.1137 | + | 2.76072i | 1.44383 | + | 0.120373i | ||||
\(527\) | −0.451971 | − | 0.285290i | −0.0196882 | − | 0.0124274i | ||||
\(528\) | −24.0231 | + | 78.3469i | −1.04547 | + | 3.40961i | ||||
\(529\) | 3.43262 | − | 0.735749i | 0.149244 | − | 0.0319891i | ||||
\(530\) | 4.03258 | + | 0.677106i | 0.175164 | + | 0.0294116i | ||||
\(531\) | −13.8623 | − | 27.2709i | −0.601571 | − | 1.18346i | ||||
\(532\) | −15.2905 | − | 2.36665i | −0.662928 | − | 0.102607i | ||||
\(533\) | 1.07916 | + | 1.49941i | 0.0467435 | + | 0.0649466i | ||||
\(534\) | −39.6987 | + | 6.14453i | −1.71793 | + | 0.265900i | ||||
\(535\) | −2.11207 | − | 2.14613i | −0.0913127 | − | 0.0927851i | ||||
\(536\) | 17.4042 | − | 65.6531i | 0.751748 | − | 2.83578i | ||||
\(537\) | 17.4551 | + | 24.9191i | 0.753244 | + | 1.07534i | ||||
\(538\) | −47.3165 | + | 20.1780i | −2.03996 | + | 0.869937i | ||||
\(539\) | 17.9186 | + | 23.2877i | 0.771810 | + | 1.00307i | ||||
\(540\) | 1.45353 | + | 3.70022i | 0.0625499 | + | 0.159232i | ||||
\(541\) | 15.1272 | − | 15.7698i | 0.650369 | − | 0.677996i | −0.311894 | − | 0.950117i | \(-0.600963\pi\) |
0.962263 | + | 0.272121i | \(0.0877250\pi\) | |||||||
\(542\) | 21.3167 | − | 67.9657i | 0.915630 | − | 2.91938i | ||||
\(543\) | −2.23158 | + | 46.4675i | −0.0957663 | + | 1.99411i | ||||
\(544\) | 25.7822 | − | 10.0327i | 1.10540 | − | 0.430150i | ||||
\(545\) | −6.58152 | + | 0.761365i | −0.281921 | + | 0.0326133i | ||||
\(546\) | −3.07549 | + | 5.04952i | −0.131619 | + | 0.216099i | ||||
\(547\) | −0.765686 | − | 14.0648i | −0.0327384 | − | 0.601369i | −0.968542 | − | 0.248849i | \(-0.919948\pi\) |
0.935804 | − | 0.352521i | \(-0.114675\pi\) | |||||||
\(548\) | −3.63300 | + | 27.5387i | −0.155194 | + | 1.17639i | ||||
\(549\) | 0.412035 | − | 2.60689i | 0.0175852 | − | 0.111259i | ||||
\(550\) | −55.5592 | + | 0.711014i | −2.36905 | + | 0.0303177i | ||||
\(551\) | −2.39998 | + | 0.778104i | −0.102243 | + | 0.0331484i | ||||
\(552\) | 13.0084 | + | 65.8103i | 0.553676 | + | 2.80107i | ||||
\(553\) | 0.769721 | − | 2.69373i | 0.0327318 | − | 0.114549i | ||||
\(554\) | 10.1774 | + | 73.5157i | 0.432398 | + | 3.12338i | ||||
\(555\) | −4.32229 | + | 3.76514i | −0.183471 | + | 0.159821i | ||||
\(556\) | −46.7255 | + | 22.0824i | −1.98160 | + | 0.936500i | ||||
\(557\) | 3.89400 | − | 25.7021i | 0.164994 | − | 1.08903i | −0.742768 | − | 0.669549i | \(-0.766487\pi\) |
0.907762 | − | 0.419486i | \(-0.137790\pi\) | |||||||
\(558\) | −0.558280 | − | 0.525337i | −0.0236339 | − | 0.0222393i | ||||
\(559\) | −1.23993 | + | 5.36462i | −0.0524433 | + | 0.226899i | ||||
\(560\) | 1.88707 | − | 2.09760i | 0.0797433 | − | 0.0886399i | ||||
\(561\) | −40.8368 | − | 6.58850i | −1.72413 | − | 0.278167i | ||||
\(562\) | 0.354288 | − | 0.0363970i | 0.0149447 | − | 0.00153531i | ||||
\(563\) | 22.4645 | − | 32.9601i | 0.946765 | − | 1.38910i | 0.0257105 | − | 0.999669i | \(-0.491815\pi\) |
0.921054 | − | 0.389434i | \(-0.127329\pi\) | |||||||
\(564\) | −69.9076 | + | 59.3403i | −2.94364 | + | 2.49868i | ||||
\(565\) | −1.83254 | + | 1.07634i | −0.0770955 | + | 0.0452818i | ||||
\(566\) | −37.6962 | + | 24.4745i | −1.58449 | + | 1.02874i | ||||
\(567\) | −4.86918 | − | 6.16333i | −0.204486 | − | 0.258835i | ||||
\(568\) | −12.4219 | + | 42.4420i | −0.521211 | + | 1.78083i | ||||
\(569\) | −13.3987 | − | 39.1795i | −0.561704 | − | 1.64249i | −0.750799 | − | 0.660531i | \(-0.770331\pi\) |
0.189094 | − | 0.981959i | \(-0.439445\pi\) | |||||||
\(570\) | −6.35187 | + | 11.5645i | −0.266050 | + | 0.484384i | ||||
\(571\) | 8.50353 | + | 13.7626i | 0.355862 | + | 0.575947i | 0.978420 | − | 0.206627i | \(-0.0662487\pi\) |
−0.622558 | + | 0.782574i | \(0.713907\pi\) | |||||||
\(572\) | −0.0918454 | − | 28.7090i | −0.00384025 | − | 1.20038i | ||||
\(573\) | −20.5069 | − | 31.8076i | −0.856688 | − | 1.32878i | ||||
\(574\) | 1.68814 | + | 1.87648i | 0.0704617 | + | 0.0783228i | ||||
\(575\) | −18.3913 | + | 10.1782i | −0.766969 | + | 0.424461i | ||||
\(576\) | 4.52157 | − | 0.818836i | 0.188399 | − | 0.0341181i | ||||
\(577\) | 33.1157 | − | 7.31996i | 1.37862 | − | 0.304734i | 0.536447 | − | 0.843934i | \(-0.319766\pi\) |
0.842178 | + | 0.539200i | \(0.181273\pi\) | |||||||
\(578\) | −1.43955 | − | 2.58163i | −0.0598775 | − | 0.107382i | ||||
\(579\) | −5.96369 | − | 19.4495i | −0.247843 | − | 0.808293i | ||||
\(580\) | 0.322497 | − | 1.18585i | 0.0133909 | − | 0.0492398i | ||||
\(581\) | 0.0745915 | − | 0.594736i | 0.00309458 | − | 0.0246738i | ||||
\(582\) | 23.4923 | − | 23.5676i | 0.973787 | − | 0.976908i | ||||
\(583\) | 11.5424 | − | 9.30009i | 0.478038 | − | 0.385170i | ||||
\(584\) | 76.3843 | + | 1.46638i | 3.16080 | + | 0.0606793i | ||||
\(585\) | 0.934301 | + | 1.16719i | 0.0386286 | + | 0.0482575i | ||||
\(586\) | −0.685415 | + | 10.1869i | −0.0283142 | + | 0.420817i | ||||
\(587\) | 0.723579 | − | 4.39541i | 0.0298653 | − | 0.181418i | −0.967608 | − | 0.252456i | \(-0.918762\pi\) |
0.997474 | + | 0.0710383i | \(0.0226313\pi\) | |||||||
\(588\) | 28.7774 | − | 61.3997i | 1.18676 | − | 2.53208i | ||||
\(589\) | −0.0375420 | + | 0.616864i | −0.00154689 | + | 0.0254174i | ||||
\(590\) | −9.53056 | − | 14.3752i | −0.392367 | − | 0.591819i | ||||
\(591\) | −22.3123 | − | 5.68623i | −0.917804 | − | 0.233900i | ||||
\(592\) | −20.1695 | − | 35.1073i | −0.828962 | − | 1.44290i | ||||
\(593\) | 26.1041 | − | 30.5541i | 1.07197 | − | 1.25471i | 0.106465 | − | 0.994316i | \(-0.466047\pi\) |
0.965503 | − | 0.260391i | \(-0.0838514\pi\) | |||||||
\(594\) | 19.4229 | + | 7.13198i | 0.796932 | + | 0.292629i | ||||
\(595\) | 1.17944 | + | 0.798350i | 0.0483523 | + | 0.0327292i | ||||
\(596\) | 15.8463 | − | 38.1701i | 0.649091 | − | 1.56351i | ||||
\(597\) | −17.3936 | + | 9.19448i | −0.711873 | + | 0.376305i | ||||
\(598\) | −7.41926 | − | 13.7151i | −0.303396 | − | 0.560852i | ||||
\(599\) | −7.23090 | − | 18.7594i | −0.295446 | − | 0.766486i | −0.998469 | − | 0.0553187i | \(-0.982383\pi\) |
0.703022 | − | 0.711168i | \(-0.251833\pi\) | |||||||
\(600\) | 34.0170 | + | 63.8561i | 1.38874 | + | 2.60691i | ||||
\(601\) | 9.89972 | − | 9.43570i | 0.403818 | − | 0.384890i | −0.460647 | − | 0.887584i | \(-0.652383\pi\) |
0.864465 | + | 0.502693i | \(0.167657\pi\) | |||||||
\(602\) | −0.888410 | + | 7.47031i | −0.0362089 | + | 0.304467i | ||||
\(603\) | 21.6164 | + | 7.00832i | 0.880289 | + | 0.285401i | ||||
\(604\) | −66.2847 | − | 20.5568i | −2.69709 | − | 0.836443i | ||||
\(605\) | 3.09002 | − | 3.57027i | 0.125627 | − | 0.145152i | ||||
\(606\) | −23.7700 | + | 2.59576i | −0.965590 | + | 0.105445i | ||||
\(607\) | 26.8921 | + | 21.6678i | 1.09152 | + | 0.879469i | 0.993285 | − | 0.115694i | \(-0.0369093\pi\) |
0.0982323 | + | 0.995164i | \(0.468681\pi\) | |||||||
\(608\) | −24.5195 | − | 20.5446i | −0.994397 | − | 0.833194i | ||||
\(609\) | 0.0264120 | + | 0.917066i | 0.00107027 | + | 0.0371614i | ||||
\(610\) | 0.0618669 | − | 1.48671i | 0.00250492 | − | 0.0601951i | ||||
\(611\) | 6.45205 | − | 10.1496i | 0.261022 | − | 0.410608i | ||||
\(612\) | 12.6580 | + | 38.6209i | 0.511671 | + | 1.56116i | ||||
\(613\) | −15.0294 | − | 11.7957i | −0.607033 | − | 0.476424i | 0.266074 | − | 0.963953i | \(-0.414273\pi\) |
−0.873107 | + | 0.487528i | \(0.837899\pi\) | |||||||
\(614\) | −28.9479 | − | 58.7992i | −1.16824 | − | 2.37294i | ||||
\(615\) | 1.39002 | − | 0.561489i | 0.0560510 | − | 0.0226414i | ||||
\(616\) | −2.47309 | − | 21.9944i | −0.0996435 | − | 0.886180i | ||||
\(617\) | −35.6101 | + | 1.13962i | −1.43361 | + | 0.0458793i | −0.739095 | − | 0.673601i | \(-0.764747\pi\) |
−0.694513 | + | 0.719481i | \(0.744380\pi\) | |||||||
\(618\) | −31.4102 | + | 11.9920i | −1.26350 | + | 0.482387i | ||||
\(619\) | −5.39345 | − | 2.01970i | −0.216781 | − | 0.0811786i | 0.239943 | − | 0.970787i | \(-0.422871\pi\) |
−0.456724 | + | 0.889609i | \(0.650977\pi\) | |||||||
\(620\) | −0.241482 | − | 0.179732i | −0.00969814 | − | 0.00721821i | ||||
\(621\) | 7.75001 | − | 1.09818i | 0.310997 | − | 0.0440686i | ||||
\(622\) | 0.403583 | + | 1.48401i | 0.0161822 | + | 0.0595035i | ||||
\(623\) | 4.23994 | − | 2.67631i | 0.169870 | − | 0.107224i | ||||
\(624\) | −22.0019 | + | 11.4510i | −0.880780 | + | 0.458406i | ||||
\(625\) | −14.9666 | + | 15.4038i | −0.598662 | + | 0.616152i | ||||
\(626\) | 22.4753 | − | 39.1209i | 0.898296 | − | 1.56359i | ||||
\(627\) | 16.0546 | + | 45.0543i | 0.641161 | + | 1.79929i | ||||
\(628\) | 4.22813 | + | 42.4933i | 0.168721 | + | 1.69567i | ||||
\(629\) | 16.1577 | − | 12.5150i | 0.644251 | − | 0.499006i | ||||
\(630\) | 1.44212 | + | 1.44674i | 0.0574554 | + | 0.0576395i | ||||
\(631\) | 34.0302 | + | 3.71621i | 1.35472 | + | 0.147940i | 0.756817 | − | 0.653627i | \(-0.226753\pi\) |
0.597905 | + | 0.801567i | \(0.296000\pi\) | |||||||
\(632\) | 18.6328 | − | 17.3099i | 0.741173 | − | 0.688549i | ||||
\(633\) | −5.24337 | + | 14.4220i | −0.208405 | + | 0.573223i | ||||
\(634\) | −10.9633 | − | 75.6270i | −0.435410 | − | 3.00353i | ||||
\(635\) | −8.99295 | − | 1.74772i | −0.356874 | − | 0.0693562i | ||||
\(636\) | −31.2912 | − | 13.8199i | −1.24078 | − | 0.547997i | ||||
\(637\) | −1.21960 | + | 8.80964i | −0.0483222 | + | 0.349051i | ||||
\(638\) | −3.50015 | − | 5.35343i | −0.138572 | − | 0.211944i | ||||
\(639\) | −13.9528 | − | 4.92171i | −0.551966 | − | 0.194700i | ||||
\(640\) | −4.01838 | + | 1.21808i | −0.158840 | + | 0.0481490i | ||||
\(641\) | 26.7904 | + | 12.2442i | 1.05816 | + | 0.483617i | 0.867189 | − | 0.497979i | \(-0.165924\pi\) |
0.190970 | + | 0.981596i | \(0.438837\pi\) | |||||||
\(642\) | 18.2164 | + | 31.2432i | 0.718944 | + | 1.23307i | ||||
\(643\) | −4.38382 | + | 4.12514i | −0.172881 | + | 0.162680i | −0.766889 | − | 0.641779i | \(-0.778196\pi\) |
0.594008 | + | 0.804459i | \(0.297545\pi\) | |||||||
\(644\) | −8.43556 | − | 12.2082i | −0.332407 | − | 0.481069i | ||||
\(645\) | 3.98954 | + | 2.01192i | 0.157088 | + | 0.0792192i | ||||
\(646\) | 24.9824 | − | 39.8603i | 0.982920 | − | 1.56828i | ||||
\(647\) | −3.11347 | − | 2.41154i | −0.122403 | − | 0.0948076i | 0.549312 | − | 0.835618i | \(-0.314890\pi\) |
−0.671715 | + | 0.740810i | \(0.734442\pi\) | |||||||
\(648\) | −8.87348 | − | 70.7505i | −0.348583 | − | 2.77934i | ||||
\(649\) | −61.9049 | − | 8.77198i | −2.42998 | − | 0.344330i | ||||
\(650\) | −11.9489 | − | 11.8347i | −0.468674 | − | 0.464197i | ||||
\(651\) | 0.211449 | + | 0.0761111i | 0.00828735 | + | 0.00298303i | ||||
\(652\) | 15.1037 | + | 6.32703i | 0.591505 | + | 0.247785i | ||||
\(653\) | 1.91477 | + | 22.1123i | 0.0749309 | + | 0.865320i | 0.934885 | + | 0.354950i | \(0.115502\pi\) |
−0.859955 | + | 0.510371i | \(0.829508\pi\) | |||||||
\(654\) | 78.8598 | + | 10.6603i | 3.08366 | + | 0.416850i | ||||
\(655\) | −1.06090 | + | 0.596030i | −0.0414529 | + | 0.0232888i | ||||
\(656\) | 1.98683 | + | 10.4009i | 0.0775727 | + | 0.406086i | ||||
\(657\) | −1.87907 | + | 25.4913i | −0.0733095 | + | 0.994510i | ||||
\(658\) | 7.25796 | − | 14.7425i | 0.282945 | − | 0.574721i | ||||
\(659\) | −15.1878 | + | 7.29698i | −0.591634 | + | 0.284250i | −0.704891 | − | 0.709316i | \(-0.749004\pi\) |
0.113257 | + | 0.993566i | \(0.463872\pi\) | |||||||
\(660\) | −22.6475 | − | 5.46402i | −0.881553 | − | 0.212686i | ||||
\(661\) | −0.643252 | + | 0.858503i | −0.0250196 | + | 0.0333919i | −0.812615 | − | 0.582800i | \(-0.801957\pi\) |
0.787596 | + | 0.616192i | \(0.211326\pi\) | |||||||
\(662\) | −31.2276 | + | 35.6179i | −1.21370 | + | 1.38433i | ||||
\(663\) | −7.24854 | − | 10.2084i | −0.281510 | − | 0.396463i | ||||
\(664\) | 3.37314 | − | 4.26967i | 0.130903 | − | 0.165695i | ||||
\(665\) | 0.152565 | − | 1.63972i | 0.00591623 | − | 0.0635858i | ||||
\(666\) | 26.1733 | − | 13.1991i | 1.01419 | − | 0.511456i | ||||
\(667\) | −2.12453 | − | 1.15808i | −0.0822621 | − | 0.0448409i | ||||
\(668\) | −9.47382 | + | 18.9366i | −0.366553 | + | 0.732679i | ||||
\(669\) | 26.1556 | − | 11.7523i | 1.01123 | − | 0.454372i | ||||
\(670\) | 12.5606 | + | 2.52457i | 0.485257 | + | 0.0975327i | ||||
\(671\) | −3.88069 | − | 3.74648i | −0.149813 | − | 0.144631i | ||||
\(672\) | −9.67454 | + | 6.45873i | −0.373203 | + | 0.249151i | ||||
\(673\) | −6.41741 | + | 19.5801i | −0.247373 | + | 0.754757i | 0.748428 | + | 0.663216i | \(0.230809\pi\) |
−0.995801 | + | 0.0915414i | \(0.970821\pi\) | |||||||
\(674\) | 12.1144 | + | 14.7433i | 0.466628 | + | 0.567892i | ||||
\(675\) | 7.65557 | − | 3.55826i | 0.294663 | − | 0.136958i | ||||
\(676\) | −36.2194 | + | 35.8735i | −1.39306 | + | 1.37975i | ||||
\(677\) | −28.0715 | + | 20.8933i | −1.07888 | + | 0.802995i | −0.981348 | − | 0.192237i | \(-0.938426\pi\) |
−0.0975283 | + | 0.995233i | \(0.531094\pi\) | |||||||
\(678\) | 24.5213 | − | 7.09177i | 0.941734 | − | 0.272358i | ||||
\(679\) | −1.51857 | + | 3.86579i | −0.0582773 | + | 0.148355i | ||||
\(680\) | 5.41201 | + | 11.7420i | 0.207541 | + | 0.450286i | ||||
\(681\) | −0.757863 | − | 33.8362i | −0.0290414 | − | 1.29661i | ||||
\(682\) | −1.53401 | + | 0.318549i | −0.0587404 | + | 0.0121979i | ||||
\(683\) | 31.4984 | − | 33.2598i | 1.20525 | − | 1.27265i | 0.252957 | − | 0.967478i | \(-0.418597\pi\) |
0.952297 | − | 0.305174i | \(-0.0987147\pi\) | |||||||
\(684\) | 32.0948 | − | 34.3268i | 1.22718 | − | 1.31252i | ||||
\(685\) | −2.94912 | − | 0.207908i | −0.112680 | − | 0.00794376i | ||||
\(686\) | −0.728674 | + | 25.3007i | −0.0278209 | + | 0.965985i | ||||
\(687\) | 25.9349 | − | 29.2020i | 0.989478 | − | 1.11412i | ||||
\(688\) | −19.4055 | + | 24.8889i | −0.739827 | + | 0.948881i | ||||
\(689\) | 4.45681 | + | 0.515574i | 0.169791 | + | 0.0196418i | ||||
\(690\) | −12.2417 | + | 3.20332i | −0.466033 | + | 0.121948i | ||||
\(691\) | −0.689380 | − | 2.19801i | −0.0262252 | − | 0.0836161i | 0.940141 | − | 0.340785i | \(-0.110693\pi\) |
−0.966366 | + | 0.257169i | \(0.917210\pi\) | |||||||
\(692\) | 84.5377 | + | 41.9559i | 3.21364 | + | 1.59492i | ||||
\(693\) | 7.39273 | − | 0.426183i | 0.280827 | − | 0.0161894i | ||||
\(694\) | 7.80496 | − | 8.56487i | 0.296272 | − | 0.325118i | ||||
\(695\) | −2.64807 | − | 4.82121i | −0.100447 | − | 0.182879i | ||||
\(696\) | −4.10262 | + | 7.24806i | −0.155510 | + | 0.274737i | ||||
\(697\) | −5.06297 | + | 1.71338i | −0.191774 | + | 0.0648989i | ||||
\(698\) | −1.72155 | − | 0.311765i | −0.0651616 | − | 0.0118005i | ||||
\(699\) | 9.73388 | − | 0.373869i | 0.368169 | − | 0.0141410i | ||||
\(700\) | −12.5264 | − | 9.96138i | −0.473452 | − | 0.376505i | ||||
\(701\) | −34.7799 | − | 21.0311i | −1.31362 | − | 0.794332i | −0.325138 | − | 0.945667i | \(-0.605411\pi\) |
−0.988483 | + | 0.151335i | \(0.951643\pi\) | |||||||
\(702\) | 2.58501 | + | 5.70423i | 0.0975650 | + | 0.215292i | ||||
\(703\) | −21.6778 | − | 9.40882i | −0.817593 | − | 0.354860i | ||||
\(704\) | 3.93113 | − | 8.52907i | 0.148160 | − | 0.321451i | ||||
\(705\) | −6.75613 | − | 7.04313i | −0.254451 | − | 0.265260i | ||||
\(706\) | 25.0106 | − | 12.4127i | 0.941285 | − | 0.467158i | ||||
\(707\) | 2.59254 | − | 1.47843i | 0.0975025 | − | 0.0556020i | ||||
\(708\) | 47.5614 | + | 136.222i | 1.78747 | + | 5.11954i | ||||
\(709\) | −7.20355 | + | 1.39996i | −0.270535 | + | 0.0525767i | −0.324222 | − | 0.945981i | \(-0.605102\pi\) |
0.0536866 | + | 0.998558i | \(0.482903\pi\) | |||||||
\(710\) | −8.13331 | − | 1.85247i | −0.305238 | − | 0.0695218i | ||||
\(711\) | 5.44389 | + | 6.53954i | 0.204162 | + | 0.245252i | ||||
\(712\) | 45.5084 | − | 0.873645i | 1.70550 | − | 0.0327412i | ||||
\(713\) | −0.454306 | + | 0.380658i | −0.0170139 | + | 0.0142557i | ||||
\(714\) | −11.3593 | − | 12.7903i | −0.425112 | − | 0.478665i | ||||
\(715\) | 3.04937 | − | 0.195376i | 0.114040 | − | 0.00730665i | ||||
\(716\) | −28.0320 | − | 54.2840i | −1.04761 | − | 2.02869i | ||||
\(717\) | 3.66846 | + | 21.4279i | 0.137001 | + | 0.800239i | ||||
\(718\) | 2.00850 | + | 12.7075i | 0.0749564 | + | 0.474238i | ||||
\(719\) | 17.2176 | − | 0.440753i | 0.642107 | − | 0.0164373i | 0.296819 | − | 0.954934i | \(-0.404074\pi\) |
0.345289 | + | 0.938497i | \(0.387781\pi\) | |||||||
\(720\) | 2.03650 | + | 8.32409i | 0.0758959 | + | 0.310221i | ||||
\(721\) | 3.00036 | − | 2.93391i | 0.111739 | − | 0.109265i | ||||
\(722\) | −5.61022 | − | 0.323423i | −0.208791 | − | 0.0120366i | ||||
\(723\) | −12.7249 | − | 7.25655i | −0.473245 | − | 0.269874i | ||||
\(724\) | 16.9408 | − | 91.8692i | 0.629601 | − | 3.41429i | ||||
\(725\) | −2.55516 | − | 0.530598i | −0.0948964 | − | 0.0197059i | ||||
\(726\) | −46.5543 | + | 32.3885i | −1.72779 | + | 1.20205i | ||||
\(727\) | −19.6026 | + | 12.1987i | −0.727020 | + | 0.452426i | −0.840985 | − | 0.541058i | \(-0.818024\pi\) |
0.113965 | + | 0.993485i | \(0.463645\pi\) | |||||||
\(728\) | 4.21977 | − | 5.20304i | 0.156395 | − | 0.192837i | ||||
\(729\) | 11.6696 | − | 0.822686i | 0.432207 | − | 0.0304699i | ||||
\(730\) | 0.599165 | + | 14.3984i | 0.0221761 | + | 0.532909i | ||||
\(731\) | −13.7879 | − | 7.98004i | −0.509963 | − | 0.295153i | ||||
\(732\) | −3.57295 | + | 11.9242i | −0.132060 | + | 0.440731i | ||||
\(733\) | 19.8169 | − | 35.5388i | 0.731954 | − | 1.31266i | −0.210260 | − | 0.977646i | \(-0.567431\pi\) |
0.942214 | − | 0.335011i | \(-0.108740\pi\) | |||||||
\(734\) | 42.0757 | + | 9.01853i | 1.55304 | + | 0.332880i | ||||
\(735\) | 6.70899 | + | 2.66025i | 0.247465 | + | 0.0981249i | ||||
\(736\) | −1.86366 | − | 30.6224i | −0.0686954 | − | 1.12876i | ||||
\(737\) | 37.0783 | − | 27.9674i | 1.36580 | − | 1.03019i | ||||
\(738\) | −7.59711 | + | 1.02698i | −0.279653 | + | 0.0378035i | ||||
\(739\) | −0.437837 | − | 1.95114i | −0.0161061 | − | 0.0717740i | 0.967022 | − | 0.254694i | \(-0.0819747\pi\) |
−0.983128 | + | 0.182920i | \(0.941445\pi\) | |||||||
\(740\) | 9.61413 | − | 6.32984i | 0.353422 | − | 0.232690i | ||||
\(741\) | −6.31100 | + | 13.0287i | −0.231840 | + | 0.478621i | ||||
\(742\) | 6.12984 | + | 0.0392215i | 0.225034 | + | 0.00143986i | ||||
\(743\) | −10.9376 | − | 11.6983i | −0.401263 | − | 0.429169i | 0.497595 | − | 0.867410i | \(-0.334217\pi\) |
−0.898858 | + | 0.438241i | \(0.855602\pi\) | |||||||
\(744\) | 1.28507 | + | 1.58450i | 0.0471128 | + | 0.0580907i | ||||
\(745\) | 4.15754 | + | 1.43668i | 0.152320 | + | 0.0526359i | ||||
\(746\) | 70.8036 | + | 27.0318i | 2.59230 | + | 0.989704i | ||||
\(747\) | 1.36504 | + | 1.20453i | 0.0499441 | + | 0.0440714i | ||||
\(748\) | 79.4922 | + | 24.0964i | 2.90652 | + | 0.881050i | ||||
\(749\) | −3.63828 | − | 2.67193i | −0.132940 | − | 0.0976301i | ||||
\(750\) | −23.8491 | + | 14.6305i | −0.870846 | + | 0.534230i | ||||
\(751\) | 0.0936698 | − | 29.2792i | 0.00341806 | − | 1.06841i | −0.843639 | − | 0.536911i | \(-0.819591\pi\) |
0.847057 | − | 0.531503i | \(-0.178372\pi\) | |||||||
\(752\) | 58.0574 | − | 37.1682i | 2.11714 | − | 1.35539i | ||||
\(753\) | −27.0906 | + | 26.1537i | −0.987237 | + | 0.953093i | ||||
\(754\) | 0.411790 | − | 1.89164i | 0.0149965 | − | 0.0688895i | ||||
\(755\) | 1.75533 | − | 7.17482i | 0.0638829 | − | 0.261118i | ||||
\(756\) | 3.03473 | + | 5.12921i | 0.110372 | + | 0.186547i | ||||
\(757\) | −13.3231 | + | 13.5380i | −0.484238 | + | 0.492046i | −0.911051 | − | 0.412293i | \(-0.864728\pi\) |
0.426813 | + | 0.904340i | \(0.359636\pi\) | |||||||
\(758\) | −11.8459 | + | 16.4590i | −0.430263 | + | 0.597819i | ||||
\(759\) | −20.7857 | + | 40.8912i | −0.754473 | + | 1.48426i | ||||
\(760\) | 8.88755 | − | 12.0211i | 0.322385 | − | 0.436051i | ||||
\(761\) | 27.2934 | − | 40.6010i | 0.989385 | − | 1.47178i | 0.111006 | − | 0.993820i | \(-0.464593\pi\) |
0.878379 | − | 0.477965i | \(-0.158625\pi\) | |||||||
\(762\) | 99.4840 | + | 47.0159i | 3.60392 | + | 1.70321i | ||||
\(763\) | −9.55877 | + | 2.69833i | −0.346051 | + | 0.0976860i | ||||
\(764\) | 32.2520 | + | 68.8130i | 1.16684 | + | 2.48957i | ||||
\(765\) | −4.02113 | + | 1.59446i | −0.145384 | + | 0.0576478i | ||||
\(766\) | 17.8557 | − | 2.99813i | 0.645152 | − | 0.108327i | ||||
\(767\) | −11.2503 | − | 15.2170i | −0.406226 | − | 0.549453i | ||||
\(768\) | 59.8168 | − | 2.68090i | 2.15845 | − | 0.0967386i | ||||
\(769\) | 13.2410 | + | 7.77706i | 0.477483 | + | 0.280448i | 0.725393 | − | 0.688335i | \(-0.241658\pi\) |
−0.247910 | + | 0.968783i | \(0.579744\pi\) | |||||||
\(770\) | 4.11276 | − | 0.717657i | 0.148214 | − | 0.0258626i | ||||
\(771\) | 62.4030 | − | 6.00761i | 2.24739 | − | 0.216359i | ||||
\(772\) | 6.63562 | + | 40.3084i | 0.238821 | + | 1.45073i | ||||
\(773\) | −5.72770 | − | 1.61686i | −0.206011 | − | 0.0581545i | 0.167105 | − | 0.985939i | \(-0.446558\pi\) |
−0.373116 | + | 0.927785i | \(0.621711\pi\) | |||||||
\(774\) | −17.2288 | − | 15.0080i | −0.619276 | − | 0.539451i | ||||
\(775\) | −0.349814 | + | 0.535036i | −0.0125657 | + | 0.0192191i | ||||
\(776\) | −29.9556 | + | 22.8971i | −1.07534 | + | 0.821957i | ||||
\(777\) | −5.49791 | + | 6.60443i | −0.197236 | + | 0.236933i | ||||
\(778\) | 58.3997 | − | 72.9568i | 2.09373 | − | 2.61563i | ||||
\(779\) | 4.55476 | + | 4.17739i | 0.163191 | + | 0.149671i | ||||
\(780\) | −3.62944 | − | 6.04575i | −0.129955 | − | 0.216473i | ||||
\(781\) | −24.5994 | + | 17.5855i | −0.880235 | + | 0.629259i | ||||
\(782\) | 44.2314 | − | 8.89015i | 1.58171 | − | 0.317911i | ||||
\(783\) | 0.818442 | + | 0.523965i | 0.0292487 | + | 0.0187250i | ||||
\(784\) | −27.6227 | + | 42.8447i | −0.986526 | + | 1.53017i | ||||
\(785\) | −4.48703 | + | 0.723926i | −0.160149 | + | 0.0258380i | ||||
\(786\) | 14.1156 | − | 3.79034i | 0.503488 | − | 0.135197i | ||||
\(787\) | 1.64766 | + | 22.3520i | 0.0587326 | + | 0.796762i | 0.943636 | + | 0.330986i | \(0.107381\pi\) |
−0.884903 | + | 0.465776i | \(0.845775\pi\) | |||||||
\(788\) | 42.8714 | + | 17.3176i | 1.52723 | + | 0.616915i | ||||
\(789\) | 7.94658 | − | 28.4990i | 0.282906 | − | 1.01459i | ||||
\(790\) | 3.47260 | + | 3.30983i | 0.123550 | + | 0.117759i | ||||
\(791\) | −2.45513 | + | 2.03053i | −0.0872944 | + | 0.0721974i | ||||
\(792\) | 59.4304 | + | 31.4157i | 2.11177 | + | 1.11631i | ||||
\(793\) | −0.0156691 | − | 1.63257i | −0.000556427 | − | 0.0579743i | ||||
\(794\) | 59.6738 | + | 24.5501i | 2.11775 | + | 0.871252i | ||||
\(795\) | 1.26588 | − | 3.41365i | 0.0448961 | − | 0.121070i | ||||
\(796\) | 37.0863 | − | 13.6179i | 1.31449 | − | 0.482673i | ||||
\(797\) | −43.8772 | − | 10.8835i | −1.55421 | − | 0.385513i | −0.632866 | − | 0.774262i | \(-0.718121\pi\) |
−0.921344 | + | 0.388748i | \(0.872908\pi\) | |||||||
\(798\) | −6.63934 | + | 18.6320i | −0.235030 | + | 0.659567i | ||||
\(799\) | 22.6031 | + | 26.4563i | 0.799640 | + | 0.935955i | ||||
\(800\) | −11.5045 | − | 31.0238i | −0.406746 | − | 1.09686i | ||||
\(801\) | −0.535794 | + | 15.2191i | −0.0189314 | + | 0.537739i | ||||
\(802\) | −20.1788 | − | 40.3340i | −0.712537 | − | 1.42424i | ||||
\(803\) | 40.4681 | + | 33.0357i | 1.42809 | + | 1.16580i | ||||
\(804\) | −96.6067 | − | 46.4146i | −3.40705 | − | 1.63692i | ||||
\(805\) | 1.24242 | − | 0.975102i | 0.0437895 | − | 0.0343678i | ||||
\(806\) | −0.394399 | − | 0.263301i | −0.0138921 | − | 0.00927438i | ||||
\(807\) | 9.74214 | + | 44.7526i | 0.342940 | + | 1.57537i | ||||
\(808\) | 27.0842 | + | 0.693328i | 0.952818 | + | 0.0243912i | ||||
\(809\) | 4.09483 | + | 31.0394i | 0.143967 | + | 1.09129i | 0.899731 | + | 0.436444i | \(0.143762\pi\) |
−0.755765 | + | 0.654843i | \(0.772735\pi\) | |||||||
\(810\) | 13.2192 | − | 2.48140i | 0.464475 | − | 0.0871874i | ||||
\(811\) | −0.719133 | + | 44.9535i | −0.0252522 | + | 1.57853i | 0.601217 | + | 0.799086i | \(0.294683\pi\) |
−0.626470 | + | 0.779446i | \(0.715501\pi\) | |||||||
\(812\) | 0.194137 | − | 1.83205i | 0.00681286 | − | 0.0642924i | ||||
\(813\) | −55.8794 | − | 29.9976i | −1.95978 | − | 1.05206i | ||||
\(814\) | 8.59502 | − | 59.2900i | 0.301255 | − | 2.07811i | ||||
\(815\) | −0.574512 | + | 1.64548i | −0.0201243 | + | 0.0576386i | ||||
\(816\) | −13.0139 | − | 70.5738i | −0.455579 | − | 2.47058i | ||||
\(817\) | −0.412473 | + | 18.4156i | −0.0144306 | + | 0.644281i | ||||
\(818\) | 19.9499 | − | 8.65888i | 0.697533 | − | 0.302751i | ||||
\(819\) | 1.66145 | + | 1.50434i | 0.0580559 | + | 0.0525660i | ||||
\(820\) | −2.91716 | + | 0.743431i | −0.101872 | + | 0.0259617i | ||||
\(821\) | −32.3970 | − | 33.3435i | −1.13066 | − | 1.16370i | −0.984673 | − | 0.174411i | \(-0.944198\pi\) |
−0.145991 | − | 0.989286i | \(-0.546637\pi\) | |||||||
\(822\) | 33.7078 | + | 11.1673i | 1.17569 | + | 0.389505i | ||||
\(823\) | 27.6145 | − | 37.8550i | 0.962579 | − | 1.31954i | 0.0150459 | − | 0.999887i | \(-0.495211\pi\) |
0.947534 | − | 0.319656i | \(-0.103567\pi\) | |||||||
\(824\) | 37.0892 | − | 8.69752i | 1.29206 | − | 0.302993i | ||||
\(825\) | −8.66016 | + | 48.7091i | −0.301508 | + | 1.69583i | ||||
\(826\) | −17.5376 | − | 18.9995i | −0.610211 | − | 0.661076i | ||||
\(827\) | −11.8515 | + | 24.8710i | −0.412116 | + | 0.864850i | 0.586381 | + | 0.810036i | \(0.300552\pi\) |
−0.998497 | + | 0.0548139i | \(0.982543\pi\) | |||||||
\(828\) | 45.0686 | − | 0.288369i | 1.56624 | − | 0.0100215i | ||||
\(829\) | −0.653275 | − | 0.689806i | −0.0226892 | − | 0.0239580i | 0.714628 | − | 0.699505i | \(-0.246596\pi\) |
−0.737317 | + | 0.675547i | \(0.763908\pi\) | |||||||
\(830\) | 0.842543 | + | 0.586169i | 0.0292451 | + | 0.0203462i | ||||
\(831\) | 65.9948 | + | 3.38102i | 2.28934 | + | 0.117286i | ||||
\(832\) | 2.67456 | − | 0.962708i | 0.0927237 | − | 0.0333759i | ||||
\(833\) | −23.3347 | − | 10.8458i | −0.808498 | − | 0.375785i | ||||
\(834\) | 16.5202 | + | 63.9681i | 0.572048 | + | 2.21503i | ||||
\(835\) | −2.07303 | − | 0.884037i | −0.0717400 | − | 0.0305934i | ||||
\(836\) | −19.8286 | − | 93.9760i | −0.685787 | − | 3.25023i | ||||
\(837\) | 0.192760 | − | 0.139672i | 0.00666276 | − | 0.00482776i | ||||
\(838\) | 8.68611 | + | 21.7029i | 0.300057 | + | 0.749716i | ||||
\(839\) | −8.71841 | + | 9.44515i | −0.300993 | + | 0.326083i | −0.866991 | − | 0.498324i | \(-0.833949\pi\) |
0.565998 | + | 0.824406i | \(0.308491\pi\) | |||||||
\(840\) | −3.28752 | − | 4.32962i | −0.113430 | − | 0.149386i | ||||
\(841\) | 10.1506 | + | 26.8446i | 0.350021 | + | 0.925676i | ||||
\(842\) | −21.1440 | + | 94.2248i | −0.728672 | + | 3.24720i | ||||
\(843\) | 0.0273574 | − | 0.315930i | 0.000942238 | − | 0.0108812i | ||||
\(844\) | 14.3138 | − | 27.2890i | 0.492702 | − | 0.939327i | ||||
\(845\) | −4.04528 | − | 3.61591i | −0.139162 | − | 0.124391i | ||||
\(846\) | 24.5845 | + | 43.4332i | 0.845233 | + | 1.49326i | ||||
\(847\) | 3.72069 | − | 6.02178i | 0.127845 | − | 0.206911i | ||||
\(848\) | 21.9202 | + | 13.4472i | 0.752743 | + | 0.461778i | ||||
\(849\) | 15.1069 | + | 37.0568i | 0.518468 | + | 1.27179i | ||||
\(850\) | 42.8719 | − | 23.0148i | 1.47050 | − | 0.789401i | ||||
\(851\) | −7.74396 | − | 21.2999i | −0.265460 | − | 0.730152i | ||||
\(852\) | 62.1056 | + | 31.8198i | 2.12770 | + | 1.09013i | ||||
\(853\) | 6.27725 | − | 31.7569i | 0.214929 | − | 1.08734i | −0.709128 | − | 0.705080i | \(-0.750911\pi\) |
0.924056 | − | 0.382256i | \(-0.124853\pi\) | |||||||
\(854\) | −0.263430 | − | 2.21508i | −0.00901439 | − | 0.0757986i | ||||
\(855\) | 3.85430 | + | 3.18772i | 0.131814 | + | 0.109018i | ||||
\(856\) | −15.7120 | − | 37.8465i | −0.537026 | − | 1.29357i | ||||
\(857\) | 9.56968 | − | 46.8362i | 0.326894 | − | 1.59989i | −0.402248 | − | 0.915531i | \(-0.631771\pi\) |
0.729142 | − | 0.684363i | \(-0.239919\pi\) | |||||||
\(858\) | −36.0707 | − | 6.77089i | −1.23143 | − | 0.231155i | ||||
\(859\) | −2.60135 | + | 47.7840i | −0.0887568 | + | 1.63037i | 0.532267 | + | 0.846577i | \(0.321340\pi\) |
−0.621024 | + | 0.783792i | \(0.713283\pi\) | |||||||
\(860\) | −7.39790 | − | 5.07689i | −0.252266 | − | 0.173121i | ||||
\(861\) | 1.92314 | − | 1.16290i | 0.0655405 | − | 0.0396316i | ||||
\(862\) | −29.9407 | − | 3.85248i | −1.01979 | − | 0.131216i | ||||
\(863\) | 14.2062 | − | 26.2614i | 0.483586 | − | 0.893947i | −0.515723 | − | 0.856756i | \(-0.672476\pi\) |
0.999308 | − | 0.0371918i | \(-0.0118413\pi\) | |||||||
\(864\) | −0.118254 | + | 12.3209i | −0.00402308 | + | 0.419165i | ||||
\(865\) | −3.91070 | + | 9.25232i | −0.132968 | + | 0.314588i | ||||
\(866\) | 21.6270 | − | 67.4408i | 0.734914 | − | 2.29173i | ||||
\(867\) | −2.49831 | + | 0.827687i | −0.0848472 | + | 0.0281097i | ||||
\(868\) | −0.400306 | − | 0.208341i | −0.0135873 | − | 0.00707155i | ||||
\(869\) | 17.3303 | − | 1.44484i | 0.587889 | − | 0.0490129i | ||||
\(870\) | −1.41167 | − | 0.689388i | −0.0478602 | − | 0.0233725i | ||||
\(871\) | 13.9053 | + | 2.06123i | 0.471162 | + | 0.0698422i | ||||
\(872\) | −86.9298 | − | 23.9398i | −2.94382 | − | 0.810704i | ||||
\(873\) | −7.10451 | − | 10.4238i | −0.240451 | − | 0.352793i | ||||
\(874\) | −33.6313 | − | 39.8783i | −1.13760 | − | 1.34890i | ||||
\(875\) | 2.00354 | − | 2.86027i | 0.0677320 | − | 0.0966948i | ||||
\(876\) | 24.8888 | − | 117.958i | 0.840916 | − | 3.98545i | ||||
\(877\) | −8.15203 | − | 18.2992i | −0.275274 | − | 0.617922i | 0.721985 | − | 0.691909i | \(-0.243230\pi\) |
−0.997259 | + | 0.0739872i | \(0.976428\pi\) | |||||||
\(878\) | −1.45901 | − | 30.3805i | −0.0492392 | − | 1.02529i | ||||
\(879\) | 8.79463 | + | 2.30131i | 0.296636 | + | 0.0776214i | ||||
\(880\) | 16.3222 | + | 6.35151i | 0.550220 | + | 0.214109i | ||||
\(881\) | −23.1983 | + | 52.0743i | −0.781571 | + | 1.75443i | −0.136028 | + | 0.990705i | \(0.543434\pi\) |
−0.645543 | + | 0.763724i | \(0.723369\pi\) | |||||||
\(882\) | −29.8859 | − | 21.6550i | −1.00631 | − | 0.729161i | ||||
\(883\) | −13.8666 | + | 55.1482i | −0.466650 | + | 1.85588i | 0.0485620 | + | 0.998820i | \(0.484536\pi\) |
−0.515212 | + | 0.857063i | \(0.672287\pi\) | |||||||
\(884\) | 11.6783 | + | 22.2645i | 0.392785 | + | 0.748837i | ||||
\(885\) | −14.1643 | + | 5.93354i | −0.476129 | + | 0.199454i | ||||
\(886\) | 11.7867 | − | 0.603851i | 0.395982 | − | 0.0202868i | ||||
\(887\) | 27.5751 | + | 17.1600i | 0.925881 | + | 0.576178i | 0.905839 | − | 0.423621i | \(-0.139241\pi\) |
0.0200417 | + | 0.999799i | \(0.493620\pi\) | |||||||
\(888\) | −73.7325 | + | 25.4790i | −2.47430 | + | 0.855021i | ||||
\(889\) | −13.7268 | − | 0.439294i | −0.460381 | − | 0.0147334i | ||||
\(890\) | 0.685952 | + | 8.55831i | 0.0229932 | + | 0.286875i | ||||
\(891\) | 25.0955 | − | 41.8029i | 0.840730 | − | 1.40045i | ||||
\(892\) | −55.2107 | + | 16.3509i | −1.84859 | + | 0.547470i | ||||
\(893\) | 14.2305 | − | 37.6344i | 0.476205 | − | 1.25939i | ||||
\(894\) | −44.1277 | − | 29.0532i | −1.47585 | − | 0.971685i | ||||
\(895\) | 5.58574 | − | 3.32902i | 0.186711 | − | 0.111277i | ||||
\(896\) | −5.65630 | + | 2.76225i | −0.188964 | + | 0.0922801i | ||||
\(897\) | −13.2343 | + | 4.19734i | −0.441880 | + | 0.140145i | ||||
\(898\) | 2.96020 | − | 17.2908i | 0.0987830 | − | 0.577003i | ||||
\(899\) | −0.0735794 | 0.000941625i | −0.00245401 | 3.14050e-5i | ||||||
\(900\) | 46.4273 | − | 14.3984i | 1.54758 | − | 0.479947i | ||||
\(901\) | −5.20635 | + | 11.8911i | −0.173449 | + | 0.396149i | ||||
\(902\) | −7.18898 | + | 13.9215i | −0.239367 | + | 0.463534i | ||||
\(903\) | 6.38487 | + | 2.02500i | 0.212475 | + | 0.0673878i | ||||
\(904\) | −28.6102 | + | 4.24100i | −0.951561 | + | 0.141053i | ||||
\(905\) | 9.86946 | + | 1.20576i | 0.328072 | + | 0.0400809i | ||||
\(906\) | −41.7116 | + | 78.3003i | −1.38577 | + | 2.60135i | ||||
\(907\) | 8.30858 | + | 29.7972i | 0.275882 | + | 0.989401i | 0.964458 | + | 0.264237i | \(0.0851201\pi\) |
−0.688576 | + | 0.725164i | \(0.741764\pi\) | |||||||
\(908\) | −7.59400 | + | 67.5373i | −0.252016 | + | 2.24130i | ||||
\(909\) | −0.724199 | + | 9.03550i | −0.0240202 | + | 0.299689i | ||||
\(910\) | 1.02798 | + | 0.734878i | 0.0340772 | + | 0.0243610i | ||||
\(911\) | −30.5722 | − | 13.7368i | −1.01290 | − | 0.455122i | −0.165579 | − | 0.986197i | \(-0.552949\pi\) |
−0.847325 | + | 0.531075i | \(0.821788\pi\) | |||||||
\(912\) | −64.2800 | + | 52.4742i | −2.12852 | + | 1.73759i | ||||
\(913\) | 3.61693 | − | 0.872632i | 0.119703 | − | 0.0288799i | ||||
\(914\) | −37.8195 | + | 87.9044i | −1.25096 | + | 2.90762i | ||||
\(915\) | −1.28989 | − | 0.302484i | −0.0426426 | − | 0.00999981i | ||||
\(916\) | −59.4655 | + | 51.1348i | −1.96480 | + | 1.68954i | ||||
\(917\) | −1.42780 | + | 1.13544i | −0.0471502 | + | 0.0374954i | ||||
\(918\) | −17.9715 | + | 2.31240i | −0.593149 | + | 0.0763206i | ||||
\(919\) | −7.61813 | + | 19.7640i | −0.251299 | + | 0.651953i | −0.999939 | − | 0.0110232i | \(-0.996491\pi\) |
0.748640 | + | 0.662976i | \(0.230707\pi\) | |||||||
\(920\) | 14.2318 | − | 1.73872i | 0.469209 | − | 0.0573239i | ||||
\(921\) | −56.2601 | + | 15.4936i | −1.85383 | + | 0.510532i | ||||
\(922\) | −25.6507 | − | 21.7733i | −0.844761 | − | 0.717066i | ||||
\(923\) | −9.01627 | − | 1.57329i | −0.296774 | − | 0.0517856i | ||||
\(924\) | −34.8227 | − | 2.67897i | −1.14558 | − | 0.0881315i | ||||
\(925\) | −14.6571 | − | 19.5618i | −0.481923 | − | 0.643189i | ||||
\(926\) | −28.0697 | − | 65.2428i | −0.922427 | − | 2.14401i | ||||
\(927\) | 2.23108 | + | 12.5487i | 0.0732782 | + | 0.412153i | ||||
\(928\) | 2.30337 | − | 3.03350i | 0.0756117 | − | 0.0995795i | ||||
\(929\) | −14.7758 | − | 4.37595i | −0.484780 | − | 0.143570i | 0.0323510 | − | 0.999477i | \(-0.489701\pi\) |
−0.517131 | + | 0.855906i | \(0.673000\pi\) | |||||||
\(930\) | −0.283605 | + | 0.260108i | −0.00929977 | + | 0.00852927i | ||||
\(931\) | 1.99741 | + | 29.6862i | 0.0654624 | + | 0.972927i | ||||
\(932\) | −19.4708 | − | 1.87448i | −0.637788 | − | 0.0614005i | ||||
\(933\) | 1.36530 | − | 0.105034i | 0.0446978 | − | 0.00343867i | ||||
\(934\) | −41.0097 | − | 46.7752i | −1.34188 | − | 1.53053i | ||||
\(935\) | −2.04597 | + | 8.60083i | −0.0669104 | + | 0.281277i | ||||
\(936\) | 5.84012 | + | 19.4905i | 0.190890 | + | 0.637068i | ||||
\(937\) | −47.3914 | − | 10.4755i | −1.54821 | − | 0.342220i | −0.642557 | − | 0.766238i | \(-0.722126\pi\) |
−0.905654 | + | 0.424018i | \(0.860619\pi\) | |||||||
\(938\) | 19.1923 | + | 0.737158i | 0.626651 | + | 0.0240690i | ||||
\(939\) | −30.4591 | − | 26.1920i | −0.993994 | − | 0.854743i | ||||
\(940\) | 11.5499 | + | 15.8331i | 0.376718 | + | 0.516420i | ||||
\(941\) | −12.9974 | − | 40.5308i | −0.423705 | − | 1.32127i | −0.897649 | − | 0.440712i | \(-0.854726\pi\) |
0.473944 | − | 0.880555i | \(-0.342830\pi\) | |||||||
\(942\) | 54.3713 | + | 4.88349i | 1.77151 | + | 0.159113i | ||||
\(943\) | 0.0948079 | + | 5.92651i | 0.00308737 | + | 0.192994i | ||||
\(944\) | −21.7145 | − | 106.275i | −0.706745 | − | 3.45897i | ||||
\(945\) | −0.525291 | + | 0.355565i | −0.0170877 | + | 0.0115665i | ||||
\(946\) | −45.3247 | + | 11.2425i | −1.47363 | + | 0.365527i | ||||
\(947\) | −1.49653 | + | 15.0404i | −0.0486307 | + | 0.488746i | 0.940298 | + | 0.340353i | \(0.110547\pi\) |
−0.988928 | + | 0.148393i | \(0.952590\pi\) | |||||||
\(948\) | −21.3128 | − | 34.0053i | −0.692206 | − | 1.10444i | ||||
\(949\) | 1.46485 | + | 15.7438i | 0.0475511 | + | 0.511064i | ||||
\(950\) | −47.1894 | − | 30.6380i | −1.53103 | − | 0.994029i | ||||
\(951\) | −67.9726 | − | 3.04643i | −2.20416 | − | 0.0987872i | ||||
\(952\) | 10.8134 | + | 16.0858i | 0.350466 | + | 0.521344i | ||||
\(953\) | 5.01055 | + | 33.0719i | 0.162308 | + | 1.07130i | 0.912200 | + | 0.409744i | \(0.134382\pi\) |
−0.749893 | + | 0.661560i | \(0.769895\pi\) | |||||||
\(954\) | −10.5838 | + | 15.3172i | −0.342664 | + | 0.495912i | ||||
\(955\) | −7.10198 | + | 3.87127i | −0.229815 | + | 0.125271i | ||||
\(956\) | −1.53594 | − | 43.6279i | −0.0496759 | − | 1.41103i | ||||
\(957\) | −5.26670 | + | 2.16675i | −0.170248 | + | 0.0700410i | ||||
\(958\) | 42.0116 | + | 99.3953i | 1.35733 | + | 3.21132i | ||||
\(959\) | −4.41430 | + | 0.396481i | −0.142545 | + | 0.0128030i | ||||
\(960\) | −0.243075 | − | 2.29387i | −0.00784520 | − | 0.0740345i | ||||
\(961\) | 11.6959 | − | 28.6895i | 0.377286 | − | 0.925469i | ||||
\(962\) | 14.6153 | − | 10.7334i | 0.471216 | − | 0.346058i | ||||
\(963\) | 12.9293 | − | 4.56066i | 0.416640 | − | 0.146965i | ||||
\(964\) | 23.3703 | + | 17.8635i | 0.752708 | + | 0.575344i | ||||
\(965\) | −4.23935 | + | 0.965565i | −0.136469 | + | 0.0310826i | ||||
\(966\) | −17.3527 | + | 7.66391i | −0.558313 | + | 0.246582i | ||||
\(967\) | 2.03356 | + | 7.11669i | 0.0653950 | + | 0.228857i | 0.987380 | − | 0.158368i | \(-0.0506231\pi\) |
−0.921985 | + | 0.387225i | \(0.873434\pi\) | |||||||
\(968\) | 57.1897 | − | 29.3011i | 1.83815 | − | 0.941774i | ||||
\(969\) | −30.6869 | − | 28.5081i | −0.985805 | − | 0.915812i | ||||
\(970\) | −4.65430 | − | 5.37767i | −0.149441 | − | 0.172667i | ||||
\(971\) | 14.6872 | + | 33.5448i | 0.471334 | + | 1.07650i | 0.976896 | + | 0.213713i | \(0.0685558\pi\) |
−0.505563 | + | 0.862790i | \(0.668715\pi\) | |||||||
\(972\) | −87.9239 | − | 5.63338i | −2.82016 | − | 0.180691i | ||||
\(973\) | −5.07031 | − | 6.50303i | −0.162547 | − | 0.208478i | ||||
\(974\) | −0.309779 | − | 0.508613i | −0.00992597 | − | 0.0162970i | ||||
\(975\) | −12.3465 | + | 8.47295i | −0.395406 | + | 0.271351i | ||||
\(976\) | 3.86273 | − | 8.52371i | 0.123643 | − | 0.272837i | ||||
\(977\) | −21.5255 | + | 19.4900i | −0.688661 | + | 0.623539i | −0.938716 | − | 0.344693i | \(-0.887983\pi\) |
0.250055 | + | 0.968232i | \(0.419551\pi\) | |||||||
\(978\) | 11.5674 | − | 17.4475i | 0.369885 | − | 0.557908i | ||||
\(979\) | 24.8479 | + | 18.7422i | 0.794142 | + | 0.599004i | ||||
\(980\) | −12.6352 | − | 7.09861i | −0.403615 | − | 0.226757i | ||||
\(981\) | 9.57864 | − | 28.6056i | 0.305822 | − | 0.913305i | ||||
\(982\) | 73.2768 | 2.33836 | ||||||||
\(983\) | 18.9438 | + | 24.9826i | 0.604215 | + | 0.796821i | ||||
\(984\) | 20.4020 | 0.650392 | ||||||||
\(985\) | −1.56259 | + | 4.66650i | −0.0497882 | + | 0.148687i | ||||
\(986\) | 4.88336 | + | 2.74354i | 0.155518 | + | 0.0873722i | ||||
\(987\) | −11.6807 | − | 8.81053i | −0.371802 | − | 0.280442i | ||||
\(988\) | 16.0636 | − | 24.2292i | 0.511050 | − | 0.770832i | ||||
\(989\) | −13.0956 | + | 11.8572i | −0.416416 | + | 0.377038i | ||||
\(990\) | −5.23395 | + | 11.5495i | −0.166346 | + | 0.367068i | ||||
\(991\) | −28.9383 | + | 19.8593i | −0.919257 | + | 0.630850i | −0.929390 | − | 0.369099i | \(-0.879666\pi\) |
0.0101334 | + | 0.999949i | \(0.496774\pi\) | |||||||
\(992\) | −0.485323 | − | 0.796831i | −0.0154090 | − | 0.0252994i | ||||
\(993\) | 25.9332 | + | 33.2612i | 0.822966 | + | 1.05551i | ||||
\(994\) | −12.4795 | − | 0.799576i | −0.395827 | − | 0.0253610i | ||||
\(995\) | 1.68651 | + | 3.85190i | 0.0534659 | + | 0.122114i | ||||
\(996\) | −5.61909 | − | 6.49241i | −0.178048 | − | 0.205720i | ||||
\(997\) | 39.1042 | + | 36.3277i | 1.23844 | + | 1.15051i | 0.982984 | + | 0.183690i | \(0.0588044\pi\) |
0.255457 | + | 0.966820i | \(0.417774\pi\) | |||||||
\(998\) | −14.6758 | + | 7.51914i | −0.464554 | + | 0.238014i | ||||
\(999\) | 2.50088 | + | 8.75211i | 0.0791242 | + | 0.276904i |
(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 | 983.2.c.a.2.5 | ✓ | 39690 | |
983.492 | even | 491 | inner | 983.2.c.a.492.5 | yes | 39690 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
983.2.c.a.2.5 | ✓ | 39690 | 1.1 | even | 1 | trivial | |
983.2.c.a.492.5 | yes | 39690 | 983.492 | even | 491 | inner |