Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(14,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bi (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 40.4 | ||
Character | \(\chi\) | \(=\) | 403.40 |
Dual form | 403.2.bi.a.131.4 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.584417 | + | 1.79865i | −0.413245 | + | 1.27184i | 0.500566 | + | 0.865699i | \(0.333125\pi\) |
−0.913811 | + | 0.406140i | \(0.866875\pi\) | |||||||
\(3\) | 3.21845 | + | 0.684102i | 1.85817 | + | 0.394966i | 0.994106 | − | 0.108414i | \(-0.0345772\pi\) |
0.864065 | + | 0.503380i | \(0.167911\pi\) | |||||||
\(4\) | −1.27557 | − | 0.926754i | −0.637784 | − | 0.463377i | ||||
\(5\) | 1.13209 | + | 1.96083i | 0.506285 | + | 0.876911i | 0.999974 | + | 0.00727219i | \(0.00231483\pi\) |
−0.493689 | + | 0.869639i | \(0.664352\pi\) | |||||||
\(6\) | −3.11138 | + | 5.38906i | −1.27021 | + | 2.20007i | ||||
\(7\) | −1.46764 | + | 0.653435i | −0.554715 | + | 0.246975i | −0.664895 | − | 0.746937i | \(-0.731524\pi\) |
0.110180 | + | 0.993912i | \(0.464857\pi\) | |||||||
\(8\) | −0.647676 | + | 0.470565i | −0.228988 | + | 0.166370i | ||||
\(9\) | 7.14976 | + | 3.18328i | 2.38325 | + | 1.06109i | ||||
\(10\) | −4.18846 | + | 0.890285i | −1.32451 | + | 0.281533i | ||||
\(11\) | 0.566511 | − | 5.38999i | 0.170809 | − | 1.62514i | −0.488008 | − | 0.872839i | \(-0.662276\pi\) |
0.658817 | − | 0.752303i | \(-0.271057\pi\) | |||||||
\(12\) | −3.47135 | − | 3.85533i | −1.00209 | − | 1.11294i | ||||
\(13\) | −0.669131 | + | 0.743145i | −0.185583 | + | 0.206111i | ||||
\(14\) | −0.317588 | − | 3.02165i | −0.0848789 | − | 0.807569i | ||||
\(15\) | 2.30215 | + | 7.08530i | 0.594413 | + | 1.82942i | ||||
\(16\) | −1.44232 | − | 4.43899i | −0.360579 | − | 1.10975i | ||||
\(17\) | −0.446365 | − | 4.24688i | −0.108259 | − | 1.03002i | −0.904917 | − | 0.425589i | \(-0.860067\pi\) |
0.796657 | − | 0.604431i | \(-0.206600\pi\) | |||||||
\(18\) | −9.90405 | + | 10.9996i | −2.33441 | + | 2.59262i | ||||
\(19\) | −4.57803 | − | 5.08442i | −1.05027 | − | 1.16645i | −0.985696 | − | 0.168533i | \(-0.946097\pi\) |
−0.0645762 | − | 0.997913i | \(-0.520570\pi\) | |||||||
\(20\) | 0.373156 | − | 3.55034i | 0.0834402 | − | 0.793880i | ||||
\(21\) | −5.17053 | + | 1.09903i | −1.12830 | + | 0.239828i | ||||
\(22\) | 9.36363 | + | 4.16896i | 1.99633 | + | 0.888824i | ||||
\(23\) | 2.38966 | − | 1.73619i | 0.498279 | − | 0.362021i | −0.310080 | − | 0.950710i | \(-0.600356\pi\) |
0.808359 | + | 0.588690i | \(0.200356\pi\) | |||||||
\(24\) | −2.40643 | + | 1.07141i | −0.491210 | + | 0.218701i | ||||
\(25\) | −0.0632418 | + | 0.109538i | −0.0126484 | + | 0.0219076i | ||||
\(26\) | −0.945607 | − | 1.63784i | −0.185449 | − | 0.321207i | ||||
\(27\) | 12.8476 | + | 9.33433i | 2.47252 | + | 1.79639i | ||||
\(28\) | 2.47765 | + | 0.526640i | 0.468231 | + | 0.0995256i | ||||
\(29\) | −1.22194 | + | 3.76076i | −0.226909 | + | 0.698356i | 0.771183 | + | 0.636614i | \(0.219665\pi\) |
−0.998092 | + | 0.0617417i | \(0.980335\pi\) | |||||||
\(30\) | −14.0894 | −2.57236 | ||||||||
\(31\) | 5.56612 | − | 0.135453i | 0.999704 | − | 0.0243281i | ||||
\(32\) | 7.22596 | 1.27738 | ||||||||
\(33\) | 5.51058 | − | 16.9598i | 0.959270 | − | 2.95233i | ||||
\(34\) | 7.89952 | + | 1.67909i | 1.35476 | + | 0.287962i | ||||
\(35\) | −2.94277 | − | 2.13805i | −0.497419 | − | 0.361396i | ||||
\(36\) | −6.16989 | − | 10.6866i | −1.02832 | − | 1.78109i | ||||
\(37\) | −5.54585 | + | 9.60570i | −0.911733 | + | 1.57917i | −0.100117 | + | 0.994976i | \(0.531922\pi\) |
−0.811615 | + | 0.584192i | \(0.801411\pi\) | |||||||
\(38\) | 11.8206 | − | 5.26286i | 1.91755 | − | 0.853748i | ||||
\(39\) | −2.66195 | + | 1.93402i | −0.426253 | + | 0.309691i | ||||
\(40\) | −1.65592 | − | 0.737265i | −0.261825 | − | 0.116572i | ||||
\(41\) | −3.42156 | + | 0.727274i | −0.534357 | + | 0.113581i | −0.467184 | − | 0.884160i | \(-0.654731\pi\) |
−0.0671734 | + | 0.997741i | \(0.521398\pi\) | |||||||
\(42\) | 1.04497 | − | 9.94227i | 0.161243 | − | 1.53413i | ||||
\(43\) | 3.87863 | + | 4.30766i | 0.591486 | + | 0.656911i | 0.962362 | − | 0.271771i | \(-0.0876093\pi\) |
−0.370876 | + | 0.928682i | \(0.620943\pi\) | |||||||
\(44\) | −5.71782 | + | 6.35028i | −0.861993 | + | 0.957341i | ||||
\(45\) | 1.85228 | + | 17.6232i | 0.276121 | + | 2.62712i | ||||
\(46\) | 1.72624 | + | 5.31282i | 0.254520 | + | 0.783333i | ||||
\(47\) | −1.33650 | − | 4.11332i | −0.194948 | − | 0.599989i | −0.999977 | − | 0.00675359i | \(-0.997850\pi\) |
0.805029 | − | 0.593236i | \(-0.202150\pi\) | |||||||
\(48\) | −1.60529 | − | 15.2733i | −0.231704 | − | 2.20452i | ||||
\(49\) | −2.95693 | + | 3.28400i | −0.422418 | + | 0.469143i | ||||
\(50\) | −0.160061 | − | 0.177766i | −0.0226360 | − | 0.0251399i | ||||
\(51\) | 1.46870 | − | 13.9737i | 0.205659 | − | 1.95671i | ||||
\(52\) | 1.54223 | − | 0.327812i | 0.213869 | − | 0.0454593i | ||||
\(53\) | −11.3139 | − | 5.03727i | −1.55408 | − | 0.691923i | −0.563160 | − | 0.826348i | \(-0.690415\pi\) |
−0.990924 | + | 0.134425i | \(0.957081\pi\) | |||||||
\(54\) | −24.2975 | + | 17.6532i | −3.30648 | + | 2.40230i | ||||
\(55\) | 11.2102 | − | 4.99110i | 1.51158 | − | 0.673000i | ||||
\(56\) | 0.643072 | − | 1.11383i | 0.0859341 | − | 0.148842i | ||||
\(57\) | −11.2559 | − | 19.4958i | −1.49088 | − | 2.58228i | ||||
\(58\) | −6.05017 | − | 4.39570i | −0.794426 | − | 0.577184i | ||||
\(59\) | −1.10341 | − | 0.234536i | −0.143651 | − | 0.0305340i | 0.135525 | − | 0.990774i | \(-0.456728\pi\) |
−0.279176 | + | 0.960240i | \(0.590061\pi\) | |||||||
\(60\) | 3.62978 | − | 11.1713i | 0.468602 | − | 1.44221i | ||||
\(61\) | 0.932843 | 0.119438 | 0.0597192 | − | 0.998215i | \(-0.480979\pi\) | ||||
0.0597192 | + | 0.998215i | \(0.480979\pi\) | |||||||
\(62\) | −3.00930 | + | 10.0907i | −0.382182 | + | 1.28152i | ||||
\(63\) | −12.5733 | −1.58409 | ||||||||
\(64\) | −1.33835 | + | 4.11901i | −0.167293 | + | 0.514876i | ||||
\(65\) | −2.21470 | − | 0.470748i | −0.274699 | − | 0.0583891i | ||||
\(66\) | 27.2843 | + | 19.8232i | 3.35847 | + | 2.44007i | ||||
\(67\) | 4.37993 | + | 7.58626i | 0.535094 | + | 0.926810i | 0.999159 | + | 0.0410085i | \(0.0130571\pi\) |
−0.464065 | + | 0.885801i | \(0.653610\pi\) | |||||||
\(68\) | −3.36645 | + | 5.83086i | −0.408242 | + | 0.707095i | ||||
\(69\) | 8.87872 | − | 3.95306i | 1.06887 | − | 0.475893i | ||||
\(70\) | 5.56541 | − | 4.04350i | 0.665193 | − | 0.483291i | ||||
\(71\) | −1.88943 | − | 0.841229i | −0.224234 | − | 0.0998355i | 0.291545 | − | 0.956557i | \(-0.405831\pi\) |
−0.515779 | + | 0.856722i | \(0.672497\pi\) | |||||||
\(72\) | −6.12867 | + | 1.30269i | −0.722271 | + | 0.153523i | ||||
\(73\) | −0.135550 | + | 1.28968i | −0.0158650 | + | 0.150945i | −0.999587 | − | 0.0287544i | \(-0.990846\pi\) |
0.983722 | + | 0.179700i | \(0.0575126\pi\) | |||||||
\(74\) | −14.0362 | − | 15.5888i | −1.63168 | − | 1.81216i | ||||
\(75\) | −0.278475 | + | 0.309278i | −0.0321556 | + | 0.0357124i | ||||
\(76\) | 1.12758 | + | 10.7282i | 0.129343 | + | 1.23061i | ||||
\(77\) | 2.69057 | + | 8.28073i | 0.306619 | + | 0.943677i | ||||
\(78\) | −1.92294 | − | 5.91819i | −0.217730 | − | 0.670103i | ||||
\(79\) | 0.576998 | + | 5.48977i | 0.0649173 | + | 0.617647i | 0.977817 | + | 0.209462i | \(0.0671714\pi\) |
−0.912899 | + | 0.408185i | \(0.866162\pi\) | |||||||
\(80\) | 7.07129 | − | 7.85346i | 0.790594 | − | 0.878044i | ||||
\(81\) | 19.2530 | + | 21.3827i | 2.13923 | + | 2.37585i | ||||
\(82\) | 0.691504 | − | 6.57922i | 0.0763638 | − | 0.726553i | ||||
\(83\) | −0.288886 | + | 0.0614045i | −0.0317093 | + | 0.00674002i | −0.223739 | − | 0.974649i | \(-0.571826\pi\) |
0.192030 | + | 0.981389i | \(0.438493\pi\) | |||||||
\(84\) | 7.61389 | + | 3.38992i | 0.830744 | + | 0.369871i | ||||
\(85\) | 7.82210 | − | 5.68309i | 0.848426 | − | 0.616417i | ||||
\(86\) | −10.0147 | + | 4.45883i | −1.07991 | + | 0.480809i | ||||
\(87\) | −6.50551 | + | 11.2679i | −0.697464 | + | 1.20804i | ||||
\(88\) | 2.16942 | + | 3.75755i | 0.231261 | + | 0.400556i | ||||
\(89\) | −3.99415 | − | 2.90192i | −0.423379 | − | 0.307603i | 0.355617 | − | 0.934632i | \(-0.384271\pi\) |
−0.778996 | + | 0.627029i | \(0.784271\pi\) | |||||||
\(90\) | −32.7805 | − | 6.96772i | −3.45537 | − | 0.734462i | ||||
\(91\) | 0.496445 | − | 1.52790i | 0.0520416 | − | 0.160168i | ||||
\(92\) | −4.65720 | −0.485546 | ||||||||
\(93\) | 18.0069 | + | 3.37184i | 1.86723 | + | 0.349644i | ||||
\(94\) | 8.17950 | 0.843651 | ||||||||
\(95\) | 4.78696 | − | 14.7328i | 0.491132 | − | 1.51155i | ||||
\(96\) | 23.2564 | + | 4.94329i | 2.37359 | + | 0.504523i | ||||
\(97\) | 6.25011 | + | 4.54097i | 0.634603 | + | 0.461066i | 0.857992 | − | 0.513664i | \(-0.171712\pi\) |
−0.223389 | + | 0.974729i | \(0.571712\pi\) | |||||||
\(98\) | −4.17869 | − | 7.23771i | −0.422112 | − | 0.731119i | ||||
\(99\) | 21.2083 | − | 36.7338i | 2.13151 | − | 3.69188i | ||||
\(100\) | 0.182184 | − | 0.0811135i | 0.0182184 | − | 0.00811135i | ||||
\(101\) | −1.64552 | + | 1.19554i | −0.163735 | + | 0.118960i | −0.666636 | − | 0.745384i | \(-0.732266\pi\) |
0.502900 | + | 0.864344i | \(0.332266\pi\) | |||||||
\(102\) | 24.2755 | + | 10.8082i | 2.40363 | + | 1.07017i | ||||
\(103\) | 8.59558 | − | 1.82705i | 0.846948 | − | 0.180024i | 0.236057 | − | 0.971739i | \(-0.424145\pi\) |
0.610891 | + | 0.791715i | \(0.290811\pi\) | |||||||
\(104\) | 0.0836826 | − | 0.796187i | 0.00820575 | − | 0.0780725i | ||||
\(105\) | −8.00850 | − | 8.89434i | −0.781550 | − | 0.867999i | ||||
\(106\) | 15.6723 | − | 17.4059i | 1.52223 | − | 1.69061i | ||||
\(107\) | 1.10764 | + | 10.5384i | 0.107079 | + | 1.01879i | 0.907700 | + | 0.419619i | \(0.137836\pi\) |
−0.800621 | + | 0.599171i | \(0.795497\pi\) | |||||||
\(108\) | −7.73736 | − | 23.8131i | −0.744527 | − | 2.29142i | ||||
\(109\) | 0.277522 | + | 0.854126i | 0.0265818 | + | 0.0818104i | 0.963467 | − | 0.267826i | \(-0.0863052\pi\) |
−0.936886 | + | 0.349636i | \(0.886305\pi\) | |||||||
\(110\) | 2.42582 | + | 23.0801i | 0.231293 | + | 2.20060i | ||||
\(111\) | −24.4203 | + | 27.1215i | −2.31787 | + | 2.57426i | ||||
\(112\) | 5.01739 | + | 5.57237i | 0.474098 | + | 0.526540i | ||||
\(113\) | 1.68408 | − | 16.0230i | 0.158425 | − | 1.50732i | −0.569689 | − | 0.821861i | \(-0.692936\pi\) |
0.728114 | − | 0.685456i | \(-0.240397\pi\) | |||||||
\(114\) | 41.6442 | − | 8.85175i | 3.90034 | − | 0.829042i | ||||
\(115\) | 6.10968 | + | 2.72021i | 0.569731 | + | 0.253660i | ||||
\(116\) | 5.04397 | − | 3.66466i | 0.468321 | − | 0.340255i | ||||
\(117\) | −7.14976 | + | 3.18328i | −0.660996 | + | 0.294294i | ||||
\(118\) | 1.06670 | − | 1.84758i | 0.0981976 | − | 0.170083i | ||||
\(119\) | 3.43016 | + | 5.94121i | 0.314442 | + | 0.544630i | ||||
\(120\) | −4.82514 | − | 3.50567i | −0.440473 | − | 0.320022i | ||||
\(121\) | −17.9714 | − | 3.81994i | −1.63376 | − | 0.347267i | ||||
\(122\) | −0.545170 | + | 1.67786i | −0.0493573 | + | 0.151906i | ||||
\(123\) | −11.5096 | −1.03779 | ||||||||
\(124\) | −7.22549 | − | 4.98564i | −0.648868 | − | 0.447724i | ||||
\(125\) | 11.0345 | 0.986955 | ||||||||
\(126\) | 7.34807 | − | 22.6150i | 0.654618 | − | 2.01471i | ||||
\(127\) | −6.11692 | − | 1.30019i | −0.542789 | − | 0.115373i | −0.0716456 | − | 0.997430i | \(-0.522825\pi\) |
−0.471143 | + | 0.882057i | \(0.656158\pi\) | |||||||
\(128\) | 5.06535 | + | 3.68019i | 0.447718 | + | 0.325286i | ||||
\(129\) | 9.53629 | + | 16.5173i | 0.839623 | + | 1.45427i | ||||
\(130\) | 2.14102 | − | 3.70835i | 0.187780 | − | 0.325244i | ||||
\(131\) | −10.6932 | + | 4.76094i | −0.934273 | + | 0.415965i | −0.816676 | − | 0.577096i | \(-0.804186\pi\) |
−0.117597 | + | 0.993061i | \(0.537519\pi\) | |||||||
\(132\) | −22.7467 | + | 16.5265i | −1.97985 | + | 1.43844i | ||||
\(133\) | 10.0412 | + | 4.47064i | 0.870685 | + | 0.387654i | ||||
\(134\) | −16.2047 | + | 3.44443i | −1.39988 | + | 0.297553i | ||||
\(135\) | −3.75845 | + | 35.7592i | −0.323476 | + | 3.07767i | ||||
\(136\) | 2.28753 | + | 2.54056i | 0.196154 | + | 0.217851i | ||||
\(137\) | −2.46077 | + | 2.73296i | −0.210238 | + | 0.233493i | −0.839036 | − | 0.544076i | \(-0.816880\pi\) |
0.628798 | + | 0.777568i | \(0.283547\pi\) | |||||||
\(138\) | 1.92130 | + | 18.2800i | 0.163552 | + | 1.55609i | ||||
\(139\) | −3.68780 | − | 11.3499i | −0.312795 | − | 0.962684i | −0.976653 | − | 0.214825i | \(-0.931082\pi\) |
0.663858 | − | 0.747859i | \(-0.268918\pi\) | |||||||
\(140\) | 1.77226 | + | 5.45445i | 0.149783 | + | 0.460985i | ||||
\(141\) | −1.48752 | − | 14.1528i | −0.125272 | − | 1.19188i | ||||
\(142\) | 2.61729 | − | 2.90680i | 0.219638 | − | 0.243933i | ||||
\(143\) | 3.62647 | + | 4.02761i | 0.303261 | + | 0.336805i | ||||
\(144\) | 3.81833 | − | 36.3290i | 0.318194 | − | 3.02742i | ||||
\(145\) | −8.75757 | + | 1.86148i | −0.727276 | + | 0.154587i | ||||
\(146\) | −2.24046 | − | 0.997517i | −0.185422 | − | 0.0825551i | ||||
\(147\) | −11.7633 | + | 8.54654i | −0.970221 | + | 0.704907i | ||||
\(148\) | 15.9762 | − | 7.11308i | 1.31324 | − | 0.584692i | ||||
\(149\) | 7.23968 | − | 12.5395i | 0.593097 | − | 1.02727i | −0.400715 | − | 0.916203i | \(-0.631238\pi\) |
0.993812 | − | 0.111072i | \(-0.0354285\pi\) | |||||||
\(150\) | −0.393538 | − | 0.681627i | −0.0321322 | − | 0.0556546i | ||||
\(151\) | −8.63783 | − | 6.27575i | −0.702937 | − | 0.510713i | 0.177951 | − | 0.984039i | \(-0.443053\pi\) |
−0.880887 | + | 0.473326i | \(0.843053\pi\) | |||||||
\(152\) | 5.35763 | + | 1.13880i | 0.434561 | + | 0.0923688i | ||||
\(153\) | 10.3276 | − | 31.7851i | 0.834937 | − | 2.56967i | ||||
\(154\) | −16.4666 | −1.32691 | ||||||||
\(155\) | 6.56693 | + | 10.7609i | 0.527468 | + | 0.864334i | ||||
\(156\) | 5.18785 | 0.415361 | ||||||||
\(157\) | −2.49330 | + | 7.67360i | −0.198987 | + | 0.612420i | 0.800920 | + | 0.598772i | \(0.204344\pi\) |
−0.999907 | + | 0.0136481i | \(0.995656\pi\) | |||||||
\(158\) | −10.2114 | − | 2.17050i | −0.812374 | − | 0.172675i | ||||
\(159\) | −32.9672 | − | 23.9521i | −2.61447 | − | 1.89952i | ||||
\(160\) | 8.18042 | + | 14.1689i | 0.646719 | + | 1.12015i | ||||
\(161\) | −2.37267 | + | 4.10959i | −0.186993 | + | 0.323881i | ||||
\(162\) | −49.7118 | + | 22.1331i | −3.90572 | + | 1.73894i | ||||
\(163\) | 2.44718 | − | 1.77798i | 0.191678 | − | 0.139262i | −0.487807 | − | 0.872951i | \(-0.662203\pi\) |
0.679485 | + | 0.733689i | \(0.262203\pi\) | |||||||
\(164\) | 5.03843 | + | 2.24325i | 0.393435 | + | 0.175169i | ||||
\(165\) | 39.4938 | − | 8.39468i | 3.07459 | − | 0.653525i | ||||
\(166\) | 0.0583844 | − | 0.555490i | 0.00453151 | − | 0.0431144i | ||||
\(167\) | 7.23145 | + | 8.03134i | 0.559586 | + | 0.621484i | 0.954852 | − | 0.297084i | \(-0.0960140\pi\) |
−0.395265 | + | 0.918567i | \(0.629347\pi\) | |||||||
\(168\) | 2.83167 | − | 3.14488i | 0.218468 | − | 0.242633i | ||||
\(169\) | −0.104528 | − | 0.994522i | −0.00804065 | − | 0.0765017i | ||||
\(170\) | 5.65052 | + | 17.3905i | 0.433375 | + | 1.33379i | ||||
\(171\) | −16.5467 | − | 50.9255i | −1.26536 | − | 3.89437i | ||||
\(172\) | −0.955318 | − | 9.08924i | −0.0728423 | − | 0.693048i | ||||
\(173\) | 11.0881 | − | 12.3145i | 0.843009 | − | 0.936257i | −0.155661 | − | 0.987811i | \(-0.549751\pi\) |
0.998670 | + | 0.0515538i | \(0.0164174\pi\) | |||||||
\(174\) | −16.4650 | − | 18.2863i | −1.24821 | − | 1.38628i | ||||
\(175\) | 0.0212401 | − | 0.202086i | 0.00160560 | − | 0.0152763i | ||||
\(176\) | −24.7432 | + | 5.25933i | −1.86509 | + | 0.396437i | ||||
\(177\) | −3.39081 | − | 1.50969i | −0.254869 | − | 0.113475i | ||||
\(178\) | 7.55379 | − | 5.48815i | 0.566181 | − | 0.411354i | ||||
\(179\) | 0.127087 | − | 0.0565827i | 0.00949891 | − | 0.00422919i | −0.401982 | − | 0.915648i | \(-0.631678\pi\) |
0.411481 | + | 0.911419i | \(0.365012\pi\) | |||||||
\(180\) | 13.9697 | − | 24.1962i | 1.04124 | − | 1.80348i | ||||
\(181\) | 4.92296 | + | 8.52682i | 0.365921 | + | 0.633793i | 0.988923 | − | 0.148426i | \(-0.0474208\pi\) |
−0.623003 | + | 0.782220i | \(0.714087\pi\) | |||||||
\(182\) | 2.45803 | + | 1.78586i | 0.182201 | + | 0.132377i | ||||
\(183\) | 3.00231 | + | 0.638160i | 0.221937 | + | 0.0471741i | ||||
\(184\) | −0.730738 | + | 2.24898i | −0.0538707 | + | 0.165797i | ||||
\(185\) | −25.1136 | −1.84639 | ||||||||
\(186\) | −16.5883 | + | 30.4176i | −1.21631 | + | 2.23033i | ||||
\(187\) | −23.1435 | −1.69242 | ||||||||
\(188\) | −2.10724 | + | 6.48542i | −0.153686 | + | 0.472998i | ||||
\(189\) | −24.9550 | − | 5.30435i | −1.81521 | − | 0.385835i | ||||
\(190\) | 23.7015 | + | 17.2201i | 1.71949 | + | 1.24928i | ||||
\(191\) | −4.54938 | − | 7.87976i | −0.329182 | − | 0.570160i | 0.653168 | − | 0.757213i | \(-0.273440\pi\) |
−0.982350 | + | 0.187054i | \(0.940106\pi\) | |||||||
\(192\) | −7.12521 | + | 12.3412i | −0.514218 | + | 0.890652i | ||||
\(193\) | 6.52709 | − | 2.90605i | 0.469830 | − | 0.209182i | −0.158144 | − | 0.987416i | \(-0.550551\pi\) |
0.627974 | + | 0.778234i | \(0.283884\pi\) | |||||||
\(194\) | −11.8203 | + | 8.58795i | −0.848648 | + | 0.616579i | ||||
\(195\) | −6.80584 | − | 3.03016i | −0.487376 | − | 0.216994i | ||||
\(196\) | 6.81523 | − | 1.44862i | 0.486802 | − | 0.103473i | ||||
\(197\) | −0.812589 | + | 7.73126i | −0.0578945 | + | 0.550830i | 0.926678 | + | 0.375855i | \(0.122651\pi\) |
−0.984573 | + | 0.174975i | \(0.944016\pi\) | |||||||
\(198\) | 53.6768 | + | 59.6141i | 3.81464 | + | 4.23659i | ||||
\(199\) | 7.39269 | − | 8.21042i | 0.524054 | − | 0.582021i | −0.421769 | − | 0.906703i | \(-0.638591\pi\) |
0.945823 | + | 0.324682i | \(0.105257\pi\) | |||||||
\(200\) | −0.0105845 | − | 0.100704i | −0.000748435 | − | 0.00712088i | ||||
\(201\) | 8.90680 | + | 27.4123i | 0.628237 | + | 1.93351i | ||||
\(202\) | −1.18869 | − | 3.65840i | −0.0836357 | − | 0.257404i | ||||
\(203\) | −0.664038 | − | 6.31790i | −0.0466063 | − | 0.443429i | ||||
\(204\) | −14.8236 | + | 16.4633i | −1.03786 | + | 1.15266i | ||||
\(205\) | −5.29956 | − | 5.88576i | −0.370137 | − | 0.411079i | ||||
\(206\) | −1.73718 | + | 16.5282i | −0.121035 | + | 1.15157i | ||||
\(207\) | 22.6123 | − | 4.80639i | 1.57166 | − | 0.334067i | ||||
\(208\) | 4.26391 | + | 1.89841i | 0.295649 | + | 0.131631i | ||||
\(209\) | −29.9985 | + | 21.7952i | −2.07504 | + | 1.50760i | ||||
\(210\) | 20.6781 | − | 9.20650i | 1.42693 | − | 0.635309i | ||||
\(211\) | −9.03631 | + | 15.6514i | −0.622085 | + | 1.07748i | 0.367011 | + | 0.930216i | \(0.380381\pi\) |
−0.989097 | + | 0.147267i | \(0.952952\pi\) | |||||||
\(212\) | 9.76333 | + | 16.9106i | 0.670549 | + | 1.16142i | ||||
\(213\) | −5.50554 | − | 4.00001i | −0.377234 | − | 0.274076i | ||||
\(214\) | −19.6023 | − | 4.16660i | −1.33999 | − | 0.284823i | ||||
\(215\) | −4.05564 | + | 12.4820i | −0.276593 | + | 0.851264i | ||||
\(216\) | −12.7135 | −0.865043 | ||||||||
\(217\) | −8.08054 | + | 3.83589i | −0.548542 | + | 0.260397i | ||||
\(218\) | −1.69846 | −0.115034 | ||||||||
\(219\) | −1.31853 | + | 4.05802i | −0.0890981 | + | 0.274216i | ||||
\(220\) | −18.9249 | − | 4.02261i | −1.27592 | − | 0.271204i | ||||
\(221\) | 3.45472 | + | 2.51000i | 0.232390 | + | 0.168841i | ||||
\(222\) | −34.5105 | − | 59.7739i | −2.31619 | − | 4.01176i | ||||
\(223\) | −9.49936 | + | 16.4534i | −0.636124 | + | 1.10180i | 0.350152 | + | 0.936693i | \(0.386130\pi\) |
−0.986276 | + | 0.165106i | \(0.947203\pi\) | |||||||
\(224\) | −10.6051 | + | 4.72169i | −0.708583 | + | 0.315481i | ||||
\(225\) | −0.800854 | + | 0.581854i | −0.0533902 | + | 0.0387903i | ||||
\(226\) | 27.8356 | + | 12.3932i | 1.85159 | + | 0.824383i | ||||
\(227\) | 20.6858 | − | 4.39690i | 1.37296 | − | 0.291833i | 0.538375 | − | 0.842705i | \(-0.319038\pi\) |
0.834589 | + | 0.550873i | \(0.185705\pi\) | |||||||
\(228\) | −3.71014 | + | 35.2996i | −0.245710 | + | 2.33777i | ||||
\(229\) | −8.63068 | − | 9.58534i | −0.570332 | − | 0.633417i | 0.387114 | − | 0.922032i | \(-0.373472\pi\) |
−0.957445 | + | 0.288615i | \(0.906805\pi\) | |||||||
\(230\) | −8.46330 | + | 9.39945i | −0.558054 | + | 0.619781i | ||||
\(231\) | 2.99460 | + | 28.4917i | 0.197030 | + | 1.87462i | ||||
\(232\) | −0.978255 | − | 3.01076i | −0.0642256 | − | 0.197666i | ||||
\(233\) | 2.00654 | + | 6.17550i | 0.131453 | + | 0.404571i | 0.995021 | − | 0.0996609i | \(-0.0317758\pi\) |
−0.863568 | + | 0.504232i | \(0.831776\pi\) | |||||||
\(234\) | −1.54716 | − | 14.7203i | −0.101141 | − | 0.962296i | ||||
\(235\) | 6.55250 | − | 7.27728i | 0.427438 | − | 0.474718i | ||||
\(236\) | 1.19011 | + | 1.32175i | 0.0774697 | + | 0.0860389i | ||||
\(237\) | −1.89852 | + | 18.0632i | −0.123322 | + | 1.17333i | ||||
\(238\) | −12.6908 | + | 2.69752i | −0.822623 | + | 0.174854i | ||||
\(239\) | 4.68732 | + | 2.08693i | 0.303198 | + | 0.134992i | 0.552696 | − | 0.833383i | \(-0.313599\pi\) |
−0.249498 | + | 0.968375i | \(0.580266\pi\) | |||||||
\(240\) | 28.1311 | − | 20.4385i | 1.81586 | − | 1.31930i | ||||
\(241\) | 14.0470 | − | 6.25414i | 0.904849 | − | 0.402865i | 0.0990695 | − | 0.995081i | \(-0.468413\pi\) |
0.805779 | + | 0.592216i | \(0.201747\pi\) | |||||||
\(242\) | 17.3735 | − | 30.0919i | 1.11681 | − | 1.93438i | ||||
\(243\) | 23.5162 | + | 40.7312i | 1.50856 | + | 2.61291i | ||||
\(244\) | −1.18990 | − | 0.864517i | −0.0761759 | − | 0.0553450i | ||||
\(245\) | −9.78688 | − | 2.08027i | −0.625261 | − | 0.132903i | ||||
\(246\) | 6.72642 | − | 20.7018i | 0.428861 | − | 1.31990i | ||||
\(247\) | 6.84176 | 0.435331 | ||||||||
\(248\) | −3.54130 | + | 2.70695i | −0.224873 | + | 0.171891i | ||||
\(249\) | −0.971769 | −0.0615834 | ||||||||
\(250\) | −6.44874 | + | 19.8472i | −0.407854 | + | 1.25525i | ||||
\(251\) | −25.5460 | − | 5.42998i | −1.61245 | − | 0.342737i | −0.688497 | − | 0.725239i | \(-0.741729\pi\) |
−0.923955 | + | 0.382502i | \(0.875063\pi\) | |||||||
\(252\) | 16.0381 | + | 11.6524i | 1.01031 | + | 0.734031i | ||||
\(253\) | −8.00428 | − | 13.8638i | −0.503224 | − | 0.871610i | ||||
\(254\) | 5.91342 | − | 10.2423i | 0.371041 | − | 0.642662i | ||||
\(255\) | 29.0628 | − | 12.9396i | 1.81998 | − | 0.810309i | ||||
\(256\) | −16.5873 | + | 12.0514i | −1.03671 | + | 0.753213i | ||||
\(257\) | −9.41667 | − | 4.19257i | −0.587396 | − | 0.261526i | 0.0914459 | − | 0.995810i | \(-0.470851\pi\) |
−0.678842 | + | 0.734285i | \(0.737518\pi\) | |||||||
\(258\) | −35.2821 | + | 7.49944i | −2.19657 | + | 0.466895i | ||||
\(259\) | 1.86261 | − | 17.7215i | 0.115737 | − | 1.10116i | ||||
\(260\) | 2.38873 | + | 2.65295i | 0.148143 | + | 0.164529i | ||||
\(261\) | −20.7082 | + | 22.9987i | −1.28180 | + | 1.42359i | ||||
\(262\) | −2.31395 | − | 22.0158i | −0.142956 | − | 1.36014i | ||||
\(263\) | −0.470098 | − | 1.44681i | −0.0289875 | − | 0.0892143i | 0.935516 | − | 0.353284i | \(-0.114935\pi\) |
−0.964504 | + | 0.264070i | \(0.914935\pi\) | |||||||
\(264\) | 4.41162 | + | 13.5776i | 0.271516 | + | 0.835642i | ||||
\(265\) | −2.93107 | − | 27.8873i | −0.180054 | − | 1.71310i | ||||
\(266\) | −13.9094 | + | 15.4479i | −0.852839 | + | 0.947174i | ||||
\(267\) | −10.8698 | − | 12.0721i | −0.665218 | − | 0.738800i | ||||
\(268\) | 1.44370 | − | 13.7359i | 0.0881882 | − | 0.839055i | ||||
\(269\) | −8.26305 | + | 1.75637i | −0.503807 | + | 0.107088i | −0.452802 | − | 0.891611i | \(-0.649576\pi\) |
−0.0510047 | + | 0.998698i | \(0.516242\pi\) | |||||||
\(270\) | −62.1219 | − | 27.6585i | −3.78062 | − | 1.68324i | ||||
\(271\) | 10.3615 | − | 7.52809i | 0.629418 | − | 0.457299i | −0.226781 | − | 0.973946i | \(-0.572820\pi\) |
0.856199 | + | 0.516647i | \(0.172820\pi\) | |||||||
\(272\) | −18.2081 | + | 8.10675i | −1.10403 | + | 0.491544i | ||||
\(273\) | 2.64302 | − | 4.57785i | 0.159963 | − | 0.277064i | ||||
\(274\) | −3.47753 | − | 6.02325i | −0.210085 | − | 0.363878i | ||||
\(275\) | 0.554581 | + | 0.402927i | 0.0334425 | + | 0.0242974i | ||||
\(276\) | −14.9889 | − | 3.18600i | −0.902228 | − | 0.191774i | ||||
\(277\) | −3.22220 | + | 9.91690i | −0.193603 | + | 0.595849i | 0.806387 | + | 0.591388i | \(0.201420\pi\) |
−0.999990 | + | 0.00446060i | \(0.998580\pi\) | |||||||
\(278\) | 22.5697 | 1.35364 | ||||||||
\(279\) | 40.2276 | + | 16.7500i | 2.40836 | + | 1.00280i | ||||
\(280\) | 2.91205 | 0.174028 | ||||||||
\(281\) | 10.1981 | − | 31.3866i | 0.608368 | − | 1.87237i | 0.136642 | − | 0.990620i | \(-0.456369\pi\) |
0.471726 | − | 0.881745i | \(-0.343631\pi\) | |||||||
\(282\) | 26.3253 | + | 5.59561i | 1.56765 | + | 0.333214i | ||||
\(283\) | −7.16009 | − | 5.20211i | −0.425623 | − | 0.309233i | 0.354273 | − | 0.935142i | \(-0.384728\pi\) |
−0.779896 | + | 0.625909i | \(0.784728\pi\) | |||||||
\(284\) | 1.63048 | + | 2.82408i | 0.0967515 | + | 0.167578i | ||||
\(285\) | 25.4853 | − | 44.1418i | 1.50962 | − | 2.61473i | ||||
\(286\) | −9.36363 | + | 4.16896i | −0.553683 | + | 0.246516i | ||||
\(287\) | 4.54638 | − | 3.30314i | 0.268364 | − | 0.194978i | ||||
\(288\) | 51.6639 | + | 23.0023i | 3.04433 | + | 1.35542i | ||||
\(289\) | −1.20825 | + | 0.256822i | −0.0710736 | + | 0.0151072i | ||||
\(290\) | 1.76992 | − | 16.8397i | 0.103933 | − | 0.988860i | ||||
\(291\) | 17.0092 | + | 18.8906i | 0.997094 | + | 1.10739i | ||||
\(292\) | 1.36812 | − | 1.51945i | 0.0800630 | − | 0.0889190i | ||||
\(293\) | −1.25418 | − | 11.9327i | −0.0732701 | − | 0.697118i | −0.968075 | − | 0.250661i | \(-0.919352\pi\) |
0.894805 | − | 0.446458i | \(-0.147315\pi\) | |||||||
\(294\) | −8.49757 | − | 26.1528i | −0.495588 | − | 1.52526i | ||||
\(295\) | −0.789266 | − | 2.42911i | −0.0459528 | − | 0.141428i | ||||
\(296\) | −0.928183 | − | 8.83107i | −0.0539495 | − | 0.513295i | ||||
\(297\) | 57.5902 | − | 63.9604i | 3.34172 | − | 3.71136i | ||||
\(298\) | 18.3232 | + | 20.3499i | 1.06143 | + | 1.17884i | ||||
\(299\) | −0.308754 | + | 2.93760i | −0.0178557 | + | 0.169886i | ||||
\(300\) | 0.641839 | − | 0.136427i | 0.0370566 | − | 0.00787662i | ||||
\(301\) | −8.50720 | − | 3.78765i | −0.490347 | − | 0.218316i | ||||
\(302\) | 16.3360 | − | 11.8688i | 0.940030 | − | 0.682972i | ||||
\(303\) | −6.11388 | + | 2.72207i | −0.351233 | + | 0.156379i | ||||
\(304\) | −15.9667 | + | 27.6552i | −0.915754 | + | 1.58613i | ||||
\(305\) | 1.05606 | + | 1.82915i | 0.0604698 | + | 0.104737i | ||||
\(306\) | 51.1347 | + | 37.1515i | 2.92317 | + | 2.12381i | ||||
\(307\) | 18.4608 | + | 3.92396i | 1.05361 | + | 0.223952i | 0.701988 | − | 0.712188i | \(-0.252296\pi\) |
0.351625 | + | 0.936141i | \(0.385629\pi\) | |||||||
\(308\) | 4.24219 | − | 13.0561i | 0.241721 | − | 0.743942i | ||||
\(309\) | 28.9143 | 1.64488 | ||||||||
\(310\) | −23.1929 | + | 5.52277i | −1.31727 | + | 0.313672i | ||||
\(311\) | 18.9886 | 1.07674 | 0.538371 | − | 0.842708i | \(-0.319040\pi\) | ||||
0.538371 | + | 0.842708i | \(0.319040\pi\) | |||||||
\(312\) | 0.814001 | − | 2.50524i | 0.0460837 | − | 0.141831i | ||||
\(313\) | −10.2286 | − | 2.17415i | −0.578153 | − | 0.122890i | −0.0904517 | − | 0.995901i | \(-0.528831\pi\) |
−0.487701 | + | 0.873011i | \(0.662164\pi\) | |||||||
\(314\) | −12.3450 | − | 8.96917i | −0.696669 | − | 0.506159i | ||||
\(315\) | −14.2341 | − | 24.6542i | −0.802001 | − | 1.38911i | ||||
\(316\) | 4.35167 | − | 7.53731i | 0.244800 | − | 0.424007i | ||||
\(317\) | −2.15929 | + | 0.961379i | −0.121278 | + | 0.0539964i | −0.466479 | − | 0.884532i | \(-0.654478\pi\) |
0.345201 | + | 0.938529i | \(0.387811\pi\) | |||||||
\(318\) | 62.3480 | − | 45.2984i | 3.49630 | − | 2.54021i | ||||
\(319\) | 19.5782 | + | 8.71678i | 1.09617 | + | 0.488046i | ||||
\(320\) | −9.59180 | + | 2.03880i | −0.536198 | + | 0.113972i | ||||
\(321\) | −3.64451 | + | 34.6752i | −0.203417 | + | 1.93538i | ||||
\(322\) | −6.00508 | − | 6.66932i | −0.334650 | − | 0.371667i | ||||
\(323\) | −19.5494 | + | 21.7119i | −1.08776 | + | 1.20808i | ||||
\(324\) | −4.74208 | − | 45.1179i | −0.263449 | − | 2.50655i | ||||
\(325\) | −0.0390856 | − | 0.120293i | −0.00216808 | − | 0.00667265i | ||||
\(326\) | 1.76779 | + | 5.44070i | 0.0979089 | + | 0.301333i | ||||
\(327\) | 0.308881 | + | 2.93881i | 0.0170812 | + | 0.162517i | ||||
\(328\) | 1.87383 | − | 2.08110i | 0.103465 | − | 0.114910i | ||||
\(329\) | 4.64928 | + | 5.16355i | 0.256323 | + | 0.284676i | ||||
\(330\) | −7.98179 | + | 75.9416i | −0.439383 | + | 4.18045i | ||||
\(331\) | −14.5852 | + | 3.10019i | −0.801678 | + | 0.170402i | −0.590491 | − | 0.807044i | \(-0.701066\pi\) |
−0.211186 | + | 0.977446i | \(0.567733\pi\) | |||||||
\(332\) | 0.425400 | + | 0.189400i | 0.0233469 | + | 0.0103947i | ||||
\(333\) | −70.2292 | + | 51.0245i | −3.84854 | + | 2.79612i | ||||
\(334\) | −18.6718 | + | 8.31320i | −1.02167 | + | 0.454878i | ||||
\(335\) | −9.91693 | + | 17.1766i | −0.541820 | + | 0.938459i | ||||
\(336\) | 12.3361 | + | 21.3668i | 0.672990 | + | 1.16565i | ||||
\(337\) | −2.12476 | − | 1.54373i | −0.115743 | − | 0.0840922i | 0.528408 | − | 0.848991i | \(-0.322789\pi\) |
−0.644151 | + | 0.764898i | \(0.722789\pi\) | |||||||
\(338\) | 1.84989 | + | 0.393205i | 0.100621 | + | 0.0213876i | ||||
\(339\) | 16.3815 | − | 50.4171i | 0.889721 | − | 2.73828i | ||||
\(340\) | −15.2444 | −0.826746 | ||||||||
\(341\) | 2.42317 | − | 30.0780i | 0.131222 | − | 1.62882i | ||||
\(342\) | 101.267 | 5.47592 | ||||||||
\(343\) | 5.66894 | − | 17.4472i | 0.306094 | − | 0.942060i | ||||
\(344\) | −4.53913 | − | 0.964821i | −0.244733 | − | 0.0520197i | ||||
\(345\) | 17.8028 | + | 12.9345i | 0.958470 | + | 0.696369i | ||||
\(346\) | 15.6695 | + | 27.1404i | 0.842398 | + | 1.45908i | ||||
\(347\) | −8.03884 | + | 13.9237i | −0.431548 | + | 0.747462i | −0.997007 | − | 0.0773140i | \(-0.975366\pi\) |
0.565459 | + | 0.824776i | \(0.308699\pi\) | |||||||
\(348\) | 18.7408 | − | 8.34392i | 1.00461 | − | 0.447281i | ||||
\(349\) | −29.8898 | + | 21.7162i | −1.59997 | + | 1.16244i | −0.712387 | + | 0.701787i | \(0.752386\pi\) |
−0.887579 | + | 0.460656i | \(0.847614\pi\) | |||||||
\(350\) | 0.351070 | + | 0.156306i | 0.0187655 | + | 0.00835493i | ||||
\(351\) | −15.5335 | + | 3.30174i | −0.829116 | + | 0.176234i | ||||
\(352\) | 4.09358 | − | 38.9479i | 0.218189 | − | 2.07593i | ||||
\(353\) | −14.8921 | − | 16.5394i | −0.792629 | − | 0.880304i | 0.202460 | − | 0.979291i | \(-0.435106\pi\) |
−0.995089 | + | 0.0989870i | \(0.968440\pi\) | |||||||
\(354\) | 4.69704 | − | 5.21659i | 0.249645 | − | 0.277259i | ||||
\(355\) | −0.489492 | − | 4.65720i | −0.0259795 | − | 0.247179i | ||||
\(356\) | 2.40544 | + | 7.40320i | 0.127488 | + | 0.392369i | ||||
\(357\) | 6.97540 | + | 21.4681i | 0.369177 | + | 1.13621i | ||||
\(358\) | 0.0275008 | + | 0.261653i | 0.00145346 | + | 0.0138288i | ||||
\(359\) | −13.0825 | + | 14.5296i | −0.690468 | + | 0.766842i | −0.981828 | − | 0.189771i | \(-0.939225\pi\) |
0.291361 | + | 0.956613i | \(0.405892\pi\) | |||||||
\(360\) | −9.49254 | − | 10.5425i | −0.500301 | − | 0.555641i | ||||
\(361\) | −2.90690 | + | 27.6573i | −0.152995 | + | 1.45565i | ||||
\(362\) | −18.2138 | + | 3.87147i | −0.957298 | + | 0.203480i | ||||
\(363\) | −55.2268 | − | 24.5885i | −2.89865 | − | 1.29056i | ||||
\(364\) | −2.04924 | + | 1.48886i | −0.107409 | + | 0.0780374i | ||||
\(365\) | −2.68229 | + | 1.19423i | −0.140398 | + | 0.0625091i | ||||
\(366\) | −2.90243 | + | 5.02715i | −0.151712 | + | 0.262773i | ||||
\(367\) | 12.3695 | + | 21.4245i | 0.645681 | + | 1.11835i | 0.984144 | + | 0.177373i | \(0.0567598\pi\) |
−0.338463 | + | 0.940980i | \(0.609907\pi\) | |||||||
\(368\) | −11.1536 | − | 8.10355i | −0.581420 | − | 0.422427i | ||||
\(369\) | −26.7784 | − | 5.69193i | −1.39403 | − | 0.296310i | ||||
\(370\) | 14.6768 | − | 45.1705i | 0.763010 | − | 2.34830i | ||||
\(371\) | 19.8962 | 1.03296 | ||||||||
\(372\) | −19.8442 | − | 20.9890i | −1.02887 | − | 1.08823i | ||||
\(373\) | 4.56913 | 0.236581 | 0.118290 | − | 0.992979i | \(-0.462259\pi\) | ||||
0.118290 | + | 0.992979i | \(0.462259\pi\) | |||||||
\(374\) | 13.5255 | − | 41.6271i | 0.699385 | − | 2.15249i | ||||
\(375\) | 35.5139 | + | 7.54871i | 1.83393 | + | 0.389814i | ||||
\(376\) | 2.80120 | + | 2.03519i | 0.144461 | + | 0.104957i | ||||
\(377\) | −1.97715 | − | 3.42452i | −0.101828 | − | 0.176372i | ||||
\(378\) | 24.1248 | − | 41.7854i | 1.24085 | − | 2.14921i | ||||
\(379\) | 32.1425 | − | 14.3108i | 1.65105 | − | 0.735095i | 0.651331 | − | 0.758794i | \(-0.274211\pi\) |
0.999719 | + | 0.0236989i | \(0.00754429\pi\) | |||||||
\(380\) | −19.7597 | + | 14.3563i | −1.01365 | + | 0.736462i | ||||
\(381\) | −18.7975 | − | 8.36919i | −0.963025 | − | 0.428766i | ||||
\(382\) | 16.8317 | − | 3.57768i | 0.861183 | − | 0.183050i | ||||
\(383\) | 1.83356 | − | 17.4452i | 0.0936907 | − | 0.891408i | −0.842211 | − | 0.539147i | \(-0.818747\pi\) |
0.935902 | − | 0.352260i | \(-0.114587\pi\) | |||||||
\(384\) | 13.7849 | + | 15.3097i | 0.703460 | + | 0.781271i | ||||
\(385\) | −13.1912 | + | 14.6503i | −0.672284 | + | 0.746647i | ||||
\(386\) | 1.41242 | + | 13.4383i | 0.0718904 | + | 0.683991i | ||||
\(387\) | 14.0188 | + | 43.1455i | 0.712616 | + | 2.19321i | ||||
\(388\) | −3.76408 | − | 11.5846i | −0.191092 | − | 0.588121i | ||||
\(389\) | 1.03938 | + | 9.88901i | 0.0526985 | + | 0.501393i | 0.988755 | + | 0.149543i | \(0.0477804\pi\) |
−0.936057 | + | 0.351849i | \(0.885553\pi\) | |||||||
\(390\) | 9.42764 | − | 10.4705i | 0.477387 | − | 0.530192i | ||||
\(391\) | −8.44005 | − | 9.37363i | −0.426832 | − | 0.474045i | ||||
\(392\) | 0.369798 | − | 3.51840i | 0.0186776 | − | 0.177706i | ||||
\(393\) | −37.6726 | + | 8.00756i | −1.90033 | + | 0.403928i | ||||
\(394\) | −13.4310 | − | 5.97985i | −0.676642 | − | 0.301260i | ||||
\(395\) | −10.1113 | + | 7.34629i | −0.508755 | + | 0.369632i | ||||
\(396\) | −61.0958 | + | 27.2016i | −3.07018 | + | 1.36693i | ||||
\(397\) | −1.68375 | + | 2.91634i | −0.0845049 | + | 0.146367i | −0.905180 | − | 0.425028i | \(-0.860264\pi\) |
0.820675 | + | 0.571395i | \(0.193598\pi\) | |||||||
\(398\) | 10.4473 | + | 18.0952i | 0.523674 | + | 0.907029i | ||||
\(399\) | 29.2588 | + | 21.2577i | 1.46477 | + | 1.06422i | ||||
\(400\) | 0.577452 | + | 0.122741i | 0.0288726 | + | 0.00613707i | ||||
\(401\) | 8.94333 | − | 27.5247i | 0.446609 | − | 1.37452i | −0.434101 | − | 0.900864i | \(-0.642934\pi\) |
0.880710 | − | 0.473656i | \(-0.157066\pi\) | |||||||
\(402\) | −54.5104 | −2.71873 | ||||||||
\(403\) | −3.62380 | + | 4.22707i | −0.180514 | + | 0.210565i | ||||
\(404\) | 3.20694 | 0.159551 | ||||||||
\(405\) | −20.1317 | + | 61.9590i | −1.00035 | + | 3.07877i | ||||
\(406\) | 11.7518 | + | 2.49791i | 0.583230 | + | 0.123969i | ||||
\(407\) | 48.6328 | + | 35.3338i | 2.41064 | + | 1.75143i | ||||
\(408\) | 5.62430 | + | 9.74156i | 0.278444 | + | 0.482279i | ||||
\(409\) | −18.0789 | + | 31.3136i | −0.893945 | + | 1.54836i | −0.0588408 | + | 0.998267i | \(0.518740\pi\) |
−0.835104 | + | 0.550091i | \(0.814593\pi\) | |||||||
\(410\) | 13.6836 | − | 6.09232i | 0.675784 | − | 0.300878i | ||||
\(411\) | −9.78948 | + | 7.11247i | −0.482879 | + | 0.350832i | ||||
\(412\) | −12.6575 | − | 5.63547i | −0.623589 | − | 0.277640i | ||||
\(413\) | 1.77266 | − | 0.376790i | 0.0872267 | − | 0.0185406i | ||||
\(414\) | −4.56999 | + | 43.4805i | −0.224603 | + | 2.13695i | ||||
\(415\) | −0.447447 | − | 0.496941i | −0.0219643 | − | 0.0243939i | ||||
\(416\) | −4.83511 | + | 5.36994i | −0.237061 | + | 0.263283i | ||||
\(417\) | −4.10451 | − | 39.0518i | −0.200999 | − | 1.91237i | ||||
\(418\) | −21.6703 | − | 66.6942i | −1.05993 | − | 3.26212i | ||||
\(419\) | 1.89686 | + | 5.83793i | 0.0926676 | + | 0.285201i | 0.986639 | − | 0.162923i | \(-0.0520922\pi\) |
−0.893971 | + | 0.448124i | \(0.852092\pi\) | |||||||
\(420\) | 1.97252 | + | 18.7673i | 0.0962490 | + | 0.915748i | ||||
\(421\) | −13.1349 | + | 14.5878i | −0.640157 | + | 0.710967i | −0.972686 | − | 0.232127i | \(-0.925432\pi\) |
0.332528 | + | 0.943093i | \(0.392098\pi\) | |||||||
\(422\) | −22.8703 | − | 25.4001i | −1.11331 | − | 1.23646i | ||||
\(423\) | 3.53820 | − | 33.6637i | 0.172033 | − | 1.63679i | ||||
\(424\) | 9.69811 | − | 2.06140i | 0.470982 | − | 0.100110i | ||||
\(425\) | 0.493424 | + | 0.219686i | 0.0239346 | + | 0.0106564i | ||||
\(426\) | 10.4122 | − | 7.56488i | 0.504471 | − | 0.366520i | ||||
\(427\) | −1.36908 | + | 0.609552i | −0.0662543 | + | 0.0294983i | ||||
\(428\) | 8.35369 | − | 14.4690i | 0.403791 | − | 0.699386i | ||||
\(429\) | 8.91631 | + | 15.4435i | 0.430484 | + | 0.745619i | ||||
\(430\) | −20.0805 | − | 14.5894i | −0.968370 | − | 0.703562i | ||||
\(431\) | 16.9153 | + | 3.59547i | 0.814783 | + | 0.173187i | 0.596412 | − | 0.802678i | \(-0.296592\pi\) |
0.218371 | + | 0.975866i | \(0.429926\pi\) | |||||||
\(432\) | 22.9047 | − | 70.4934i | 1.10200 | − | 3.39161i | ||||
\(433\) | 14.2021 | 0.682510 | 0.341255 | − | 0.939971i | \(-0.389148\pi\) | ||||
0.341255 | + | 0.939971i | \(0.389148\pi\) | |||||||
\(434\) | −2.17702 | − | 16.7758i | −0.104500 | − | 0.805265i | ||||
\(435\) | −29.4592 | −1.41246 | ||||||||
\(436\) | 0.437566 | − | 1.34669i | 0.0209556 | − | 0.0644948i | ||||
\(437\) | −19.7675 | − | 4.20170i | −0.945606 | − | 0.200995i | ||||
\(438\) | −6.52840 | − | 4.74316i | −0.311939 | − | 0.226637i | ||||
\(439\) | 1.28827 | + | 2.23135i | 0.0614858 | + | 0.106496i | 0.895130 | − | 0.445806i | \(-0.147083\pi\) |
−0.833644 | + | 0.552302i | \(0.813749\pi\) | |||||||
\(440\) | −4.91195 | + | 8.50774i | −0.234168 | + | 0.405591i | ||||
\(441\) | −31.5952 | + | 14.0671i | −1.50454 | + | 0.669862i | ||||
\(442\) | −6.53362 | + | 4.74695i | −0.310773 | + | 0.225790i | ||||
\(443\) | −2.45831 | − | 1.09451i | −0.116798 | − | 0.0520017i | 0.347506 | − | 0.937678i | \(-0.387029\pi\) |
−0.464304 | + | 0.885676i | \(0.653695\pi\) | |||||||
\(444\) | 56.2847 | − | 11.9637i | 2.67116 | − | 0.567772i | ||||
\(445\) | 1.16845 | − | 11.1171i | 0.0553900 | − | 0.527001i | ||||
\(446\) | −24.0423 | − | 26.7017i | −1.13843 | − | 1.26436i | ||||
\(447\) | 31.8788 | − | 35.4050i | 1.50782 | − | 1.67460i | ||||
\(448\) | −0.727293 | − | 6.91973i | −0.0343614 | − | 0.326927i | ||||
\(449\) | 5.94647 | + | 18.3014i | 0.280631 | + | 0.863694i | 0.987674 | + | 0.156524i | \(0.0500287\pi\) |
−0.707043 | + | 0.707171i | \(0.749971\pi\) | |||||||
\(450\) | −0.578520 | − | 1.78050i | −0.0272717 | − | 0.0839337i | ||||
\(451\) | 1.98165 | + | 18.8542i | 0.0933123 | + | 0.887807i | ||||
\(452\) | −16.9975 | + | 18.8777i | −0.799497 | + | 0.887932i | ||||
\(453\) | −23.5071 | − | 26.1073i | −1.10446 | − | 1.22663i | ||||
\(454\) | −4.18064 | + | 39.7762i | −0.196207 | + | 1.86679i | ||||
\(455\) | 3.55798 | − | 0.756271i | 0.166800 | − | 0.0354545i | ||||
\(456\) | 16.4642 | + | 7.33033i | 0.771006 | + | 0.343274i | ||||
\(457\) | −23.1103 | + | 16.7906i | −1.08105 | + | 0.785432i | −0.977867 | − | 0.209230i | \(-0.932904\pi\) |
−0.103188 | + | 0.994662i | \(0.532904\pi\) | |||||||
\(458\) | 22.2846 | − | 9.92175i | 1.04129 | − | 0.463613i | ||||
\(459\) | 33.9071 | − | 58.7287i | 1.58265 | − | 2.74122i | ||||
\(460\) | −5.27235 | − | 9.13198i | −0.245825 | − | 0.425781i | ||||
\(461\) | 18.6891 | + | 13.5784i | 0.870439 | + | 0.632411i | 0.930705 | − | 0.365771i | \(-0.119195\pi\) |
−0.0602656 | + | 0.998182i | \(0.519195\pi\) | |||||||
\(462\) | −52.9967 | − | 11.2648i | −2.46563 | − | 0.524086i | ||||
\(463\) | −4.55782 | + | 14.0275i | −0.211820 | + | 0.651914i | 0.787544 | + | 0.616258i | \(0.211352\pi\) |
−0.999364 | + | 0.0356561i | \(0.988648\pi\) | |||||||
\(464\) | 18.4564 | 0.856817 | ||||||||
\(465\) | 13.7738 | + | 39.1257i | 0.638743 | + | 1.81441i | ||||
\(466\) | −12.2802 | −0.568871 | ||||||||
\(467\) | −5.92134 | + | 18.2240i | −0.274007 | + | 0.843307i | 0.715473 | + | 0.698640i | \(0.246211\pi\) |
−0.989480 | + | 0.144667i | \(0.953789\pi\) | |||||||
\(468\) | 12.0701 | + | 2.56558i | 0.557942 | + | 0.118594i | ||||
\(469\) | −11.3853 | − | 8.27189i | −0.525724 | − | 0.381960i | ||||
\(470\) | 9.25990 | + | 16.0386i | 0.427127 | + | 0.739806i | ||||
\(471\) | −13.2741 | + | 22.9914i | −0.611638 | + | 1.05939i | ||||
\(472\) | 0.825015 | − | 0.367320i | 0.0379744 | − | 0.0169073i | ||||
\(473\) | 25.4155 | − | 18.4654i | 1.16861 | − | 0.849042i | ||||
\(474\) | −31.3799 | − | 13.9712i | −1.44133 | − | 0.641721i | ||||
\(475\) | 0.846459 | − | 0.179921i | 0.0388382 | − | 0.00825532i | ||||
\(476\) | 1.13064 | − | 10.7573i | 0.0518229 | − | 0.493062i | ||||
\(477\) | −64.8567 | − | 72.0306i | −2.96958 | − | 3.29806i | ||||
\(478\) | −6.49301 | + | 7.21122i | −0.296983 | + | 0.329834i | ||||
\(479\) | 1.31625 | + | 12.5233i | 0.0601411 | + | 0.572204i | 0.982551 | + | 0.185992i | \(0.0595500\pi\) |
−0.922410 | + | 0.386212i | \(0.873783\pi\) | |||||||
\(480\) | 16.6353 | + | 51.1981i | 0.759292 | + | 2.33686i | ||||
\(481\) | −3.42753 | − | 10.5488i | −0.156282 | − | 0.480986i | ||||
\(482\) | 3.03969 | + | 28.9207i | 0.138454 | + | 1.31730i | ||||
\(483\) | −10.4477 | + | 11.6033i | −0.475386 | + | 0.527970i | ||||
\(484\) | 19.3836 | + | 21.5277i | 0.881073 | + | 0.978531i | ||||
\(485\) | −1.82841 | + | 17.3962i | −0.0830240 | + | 0.789920i | ||||
\(486\) | −87.0045 | + | 18.4934i | −3.94661 | + | 0.838877i | ||||
\(487\) | 11.7820 | + | 5.24569i | 0.533894 | + | 0.237705i | 0.655931 | − | 0.754820i | \(-0.272276\pi\) |
−0.122037 | + | 0.992526i | \(0.538943\pi\) | |||||||
\(488\) | −0.604181 | + | 0.438963i | −0.0273500 | + | 0.0198709i | ||||
\(489\) | 9.09244 | − | 4.04821i | 0.411174 | − | 0.183067i | ||||
\(490\) | 9.46129 | − | 16.3874i | 0.427418 | − | 0.740309i | ||||
\(491\) | 9.96193 | + | 17.2546i | 0.449576 | + | 0.778688i | 0.998358 | − | 0.0572770i | \(-0.0182418\pi\) |
−0.548783 | + | 0.835965i | \(0.684908\pi\) | |||||||
\(492\) | 14.6813 | + | 10.6666i | 0.661884 | + | 0.480887i | ||||
\(493\) | 16.5169 | + | 3.51078i | 0.743885 | + | 0.158118i | ||||
\(494\) | −3.99844 | + | 12.3059i | −0.179898 | + | 0.553670i | ||||
\(495\) | 96.0384 | 4.31660 | ||||||||
\(496\) | −8.62937 | − | 24.5126i | −0.387470 | − | 1.10065i | ||||
\(497\) | 3.32269 | 0.149043 | ||||||||
\(498\) | 0.567919 | − | 1.74787i | 0.0254490 | − | 0.0783241i | ||||
\(499\) | −31.2657 | − | 6.64573i | −1.39965 | − | 0.297504i | −0.554564 | − | 0.832141i | \(-0.687115\pi\) |
−0.845082 | + | 0.534637i | \(0.820448\pi\) | |||||||
\(500\) | −14.0752 | − | 10.2263i | −0.629464 | − | 0.457332i | ||||
\(501\) | 17.7798 | + | 30.7955i | 0.794342 | + | 1.37584i | ||||
\(502\) | 24.6962 | − | 42.7750i | 1.10224 | − | 1.90914i | ||||
\(503\) | 2.14600 | − | 0.955461i | 0.0956854 | − | 0.0426019i | −0.358336 | − | 0.933593i | \(-0.616656\pi\) |
0.454021 | + | 0.890991i | \(0.349989\pi\) | |||||||
\(504\) | 8.14345 | − | 5.91656i | 0.362738 | − | 0.263545i | ||||
\(505\) | −4.20712 | − | 1.87313i | −0.187214 | − | 0.0833532i | ||||
\(506\) | 29.6140 | − | 6.29465i | 1.31650 | − | 0.279831i | ||||
\(507\) | 0.343935 | − | 3.27232i | 0.0152747 | − | 0.145329i | ||||
\(508\) | 6.59759 | + | 7.32736i | 0.292721 | + | 0.325099i | ||||
\(509\) | 10.7440 | − | 11.9324i | 0.476217 | − | 0.528893i | −0.456393 | − | 0.889778i | \(-0.650859\pi\) |
0.932610 | + | 0.360885i | \(0.117525\pi\) | |||||||
\(510\) | 6.28901 | + | 59.8360i | 0.278482 | + | 2.64958i | ||||
\(511\) | −0.643780 | − | 1.98135i | −0.0284792 | − | 0.0876499i | ||||
\(512\) | −8.11276 | − | 24.9685i | −0.358537 | − | 1.10346i | ||||
\(513\) | −11.3571 | − | 108.055i | −0.501427 | − | 4.77076i | ||||
\(514\) | 13.0442 | − | 14.4871i | 0.575357 | − | 0.638998i | ||||
\(515\) | 13.3135 | + | 14.7861i | 0.586662 | + | 0.651554i | ||||
\(516\) | 3.14333 | − | 29.9068i | 0.138377 | − | 1.31657i | ||||
\(517\) | −22.9279 | + | 4.87347i | −1.00837 | + | 0.214335i | ||||
\(518\) | 30.7863 | + | 13.7070i | 1.35267 | + | 0.602249i | ||||
\(519\) | 44.1107 | − | 32.0483i | 1.93625 | − | 1.40676i | ||||
\(520\) | 1.65592 | − | 0.737265i | 0.0726171 | − | 0.0323312i | ||||
\(521\) | −10.7177 | + | 18.5636i | −0.469552 | + | 0.813288i | −0.999394 | − | 0.0348085i | \(-0.988918\pi\) |
0.529842 | + | 0.848096i | \(0.322251\pi\) | |||||||
\(522\) | −29.2645 | − | 50.6876i | −1.28087 | − | 2.21854i | ||||
\(523\) | 18.3078 | + | 13.3014i | 0.800542 | + | 0.581628i | 0.911073 | − | 0.412245i | \(-0.135255\pi\) |
−0.110531 | + | 0.993873i | \(0.535255\pi\) | |||||||
\(524\) | 18.0522 | + | 3.83711i | 0.788613 | + | 0.167625i | ||||
\(525\) | 0.206608 | − | 0.635874i | 0.00901711 | − | 0.0277518i | ||||
\(526\) | 2.87705 | 0.125445 | ||||||||
\(527\) | −3.05977 | − | 23.5782i | −0.133286 | − | 1.02708i | ||||
\(528\) | −83.2325 | −3.62223 | ||||||||
\(529\) | −4.41127 | + | 13.5765i | −0.191794 | + | 0.590282i | ||||
\(530\) | 51.8725 | + | 11.0258i | 2.25320 | + | 0.478932i | ||||
\(531\) | −7.14250 | − | 5.18933i | −0.309958 | − | 0.225198i | ||||
\(532\) | −8.66508 | − | 15.0084i | −0.375679 | − | 0.650695i | ||||
\(533\) | 1.74900 | − | 3.02935i | 0.0757575 | − | 0.131216i | ||||
\(534\) | 28.0659 | − | 12.4958i | 1.21453 | − | 0.540744i | ||||
\(535\) | −19.4102 | + | 14.1023i | −0.839176 | + | 0.609697i | ||||
\(536\) | −6.40661 | − | 2.85240i | −0.276723 | − | 0.123205i | ||||
\(537\) | 0.447730 | − | 0.0951680i | 0.0193210 | − | 0.00410680i | ||||
\(538\) | 1.66998 | − | 15.8888i | 0.0719979 | − | 0.685015i | ||||
\(539\) | 16.0256 | + | 17.7982i | 0.690272 | + | 0.766624i | ||||
\(540\) | 37.9342 | − | 42.1302i | 1.63243 | − | 1.81299i | ||||
\(541\) | −2.99079 | − | 28.4554i | −0.128584 | − | 1.22339i | −0.848448 | − | 0.529279i | \(-0.822462\pi\) |
0.719864 | − | 0.694115i | \(-0.244204\pi\) | |||||||
\(542\) | 7.48495 | + | 23.0363i | 0.321506 | + | 0.989495i | ||||
\(543\) | 10.0111 | + | 30.8109i | 0.429616 | + | 1.32222i | ||||
\(544\) | −3.22542 | − | 30.6878i | −0.138289 | − | 1.31573i | ||||
\(545\) | −1.36062 | + | 1.51112i | −0.0582825 | + | 0.0647292i | ||||
\(546\) | 6.68932 | + | 7.42925i | 0.286277 | + | 0.317942i | ||||
\(547\) | 1.27486 | − | 12.1295i | 0.0545092 | − | 0.518621i | −0.932866 | − | 0.360223i | \(-0.882701\pi\) |
0.987375 | − | 0.158397i | \(-0.0506327\pi\) | |||||||
\(548\) | 5.67166 | − | 1.20555i | 0.242281 | − | 0.0514985i | ||||
\(549\) | 6.66961 | + | 2.96950i | 0.284652 | + | 0.126735i | ||||
\(550\) | −1.04883 | + | 0.762021i | −0.0447223 | + | 0.0324927i | ||||
\(551\) | 24.7154 | − | 11.0040i | 1.05291 | − | 0.468786i | ||||
\(552\) | −3.89037 | + | 6.73832i | −0.165585 | + | 0.286802i | ||||
\(553\) | −4.43403 | − | 7.67996i | −0.188554 | − | 0.326585i | ||||
\(554\) | −15.9539 | − | 11.5912i | −0.677818 | − | 0.492463i | ||||
\(555\) | −80.8266 | − | 17.1802i | −3.43090 | − | 0.729260i | ||||
\(556\) | −5.81451 | + | 17.8952i | −0.246590 | + | 0.758926i | ||||
\(557\) | 11.2129 | 0.475106 | 0.237553 | − | 0.971375i | \(-0.423655\pi\) | ||||
0.237553 | + | 0.971375i | \(0.423655\pi\) | |||||||
\(558\) | −53.6372 | + | 62.5664i | −2.27064 | + | 2.64865i | ||||
\(559\) | −5.79652 | −0.245167 | ||||||||
\(560\) | −5.24637 | + | 16.1467i | −0.221700 | + | 0.682321i | ||||
\(561\) | −74.4861 | − | 15.8325i | −3.14481 | − | 0.668449i | ||||
\(562\) | 50.4935 | + | 36.6857i | 2.12994 | + | 1.54749i | ||||
\(563\) | −10.3918 | − | 17.9992i | −0.437963 | − | 0.758575i | 0.559569 | − | 0.828784i | \(-0.310967\pi\) |
−0.997532 | + | 0.0702089i | \(0.977633\pi\) | |||||||
\(564\) | −11.2187 | + | 19.4314i | −0.472394 | + | 0.818210i | ||||
\(565\) | 33.3249 | − | 14.8372i | 1.40199 | − | 0.624206i | ||||
\(566\) | 13.5413 | − | 9.83830i | 0.569181 | − | 0.413535i | ||||
\(567\) | −42.2287 | − | 18.8014i | −1.77344 | − | 0.789585i | ||||
\(568\) | 1.61959 | − | 0.344255i | 0.0679566 | − | 0.0144446i | ||||
\(569\) | 3.21846 | − | 30.6216i | 0.134925 | − | 1.28372i | −0.692201 | − | 0.721705i | \(-0.743359\pi\) |
0.827125 | − | 0.562017i | \(-0.189975\pi\) | |||||||
\(570\) | 64.5017 | + | 71.6363i | 2.70168 | + | 3.00052i | ||||
\(571\) | 0.0507575 | − | 0.0563719i | 0.00212413 | − | 0.00235909i | −0.742082 | − | 0.670309i | \(-0.766161\pi\) |
0.744206 | + | 0.667950i | \(0.232828\pi\) | |||||||
\(572\) | −0.893211 | − | 8.49833i | −0.0373470 | − | 0.355333i | ||||
\(573\) | −9.25138 | − | 28.4728i | −0.386482 | − | 1.18947i | ||||
\(574\) | 3.28421 | + | 10.1078i | 0.137080 | + | 0.421890i | ||||
\(575\) | 0.0390523 | + | 0.371558i | 0.00162860 | + | 0.0154951i | ||||
\(576\) | −22.6808 | + | 25.1896i | −0.945033 | + | 1.04957i | ||||
\(577\) | −0.137737 | − | 0.152973i | −0.00573408 | − | 0.00636834i | 0.740271 | − | 0.672309i | \(-0.234697\pi\) |
−0.746005 | + | 0.665940i | \(0.768031\pi\) | |||||||
\(578\) | 0.244190 | − | 2.32331i | 0.0101570 | − | 0.0966370i | ||||
\(579\) | 22.9951 | − | 4.88776i | 0.955644 | − | 0.203128i | ||||
\(580\) | 12.8960 | + | 5.74167i | 0.535477 | + | 0.238410i | ||||
\(581\) | 0.383856 | − | 0.278887i | 0.0159250 | − | 0.0115702i | ||||
\(582\) | −43.9180 | + | 19.5536i | −1.82046 | + | 0.810521i | ||||
\(583\) | −33.5603 | + | 58.1281i | −1.38992 | + | 2.40742i | ||||
\(584\) | −0.519083 | − | 0.899078i | −0.0214798 | − | 0.0372041i | ||||
\(585\) | −14.3360 | − | 10.4157i | −0.592722 | − | 0.430638i | ||||
\(586\) | 22.1958 | + | 4.71787i | 0.916900 | + | 0.194893i | ||||
\(587\) | 3.80537 | − | 11.7117i | 0.157064 | − | 0.483394i | −0.841300 | − | 0.540569i | \(-0.818209\pi\) |
0.998364 | + | 0.0571744i | \(0.0182091\pi\) | |||||||
\(588\) | 22.9254 | 0.945429 | ||||||||
\(589\) | −26.1706 | − | 27.6804i | −1.07834 | − | 1.14055i | ||||
\(590\) | 4.83038 | 0.198864 | ||||||||
\(591\) | −7.90424 | + | 24.3268i | −0.325137 | + | 1.00067i | ||||
\(592\) | 50.6385 | + | 10.7635i | 2.08123 | + | 0.442379i | ||||
\(593\) | 4.78377 | + | 3.47561i | 0.196446 | + | 0.142726i | 0.681660 | − | 0.731669i | \(-0.261258\pi\) |
−0.485214 | + | 0.874395i | \(0.661258\pi\) | |||||||
\(594\) | 81.3857 | + | 140.964i | 3.33930 | + | 5.78383i | ||||
\(595\) | −7.76648 | + | 13.4519i | −0.318395 | + | 0.551476i | ||||
\(596\) | −20.8557 | + | 9.28557i | −0.854284 | + | 0.380352i | ||||
\(597\) | 29.4097 | − | 21.3674i | 1.20366 | − | 0.874511i | ||||
\(598\) | −5.10328 | − | 2.27213i | −0.208689 | − | 0.0929142i | ||||
\(599\) | −8.67255 | + | 1.84341i | −0.354351 | + | 0.0753196i | −0.381648 | − | 0.924308i | \(-0.624643\pi\) |
0.0272972 | + | 0.999627i | \(0.491310\pi\) | |||||||
\(600\) | 0.0348266 | − | 0.331353i | 0.00142179 | − | 0.0135274i | ||||
\(601\) | 14.8971 | + | 16.5449i | 0.607665 | + | 0.674880i | 0.965949 | − | 0.258733i | \(-0.0833048\pi\) |
−0.358284 | + | 0.933612i | \(0.616638\pi\) | |||||||
\(602\) | 11.7844 | − | 13.0879i | 0.480297 | − | 0.533423i | ||||
\(603\) | 7.16627 | + | 68.1825i | 0.291833 | + | 2.77661i | ||||
\(604\) | 5.20206 | + | 16.0103i | 0.211669 | + | 0.651450i | ||||
\(605\) | −12.8549 | − | 39.5634i | −0.522627 | − | 1.60848i | ||||
\(606\) | −1.32301 | − | 12.5876i | −0.0537434 | − | 0.511334i | ||||
\(607\) | 14.7048 | − | 16.3314i | 0.596850 | − | 0.662869i | −0.366718 | − | 0.930332i | \(-0.619519\pi\) |
0.963568 | + | 0.267463i | \(0.0861853\pi\) | |||||||
\(608\) | −33.0807 | − | 36.7398i | −1.34160 | − | 1.49000i | ||||
\(609\) | 2.18491 | − | 20.7881i | 0.0885372 | − | 0.842375i | ||||
\(610\) | −3.90718 | + | 0.830497i | −0.158197 | + | 0.0336258i | ||||
\(611\) | 3.95108 | + | 1.75914i | 0.159844 | + | 0.0711670i | ||||
\(612\) | −42.6305 | + | 30.9729i | −1.72324 | + | 1.25201i | ||||
\(613\) | 1.84030 | − | 0.819353i | 0.0743289 | − | 0.0330934i | −0.369235 | − | 0.929336i | \(-0.620380\pi\) |
0.443564 | + | 0.896243i | \(0.353714\pi\) | |||||||
\(614\) | −17.8466 | + | 30.9113i | −0.720232 | + | 1.24748i | ||||
\(615\) | −13.0299 | − | 22.5684i | −0.525416 | − | 0.910047i | ||||
\(616\) | −5.63924 | − | 4.09715i | −0.227211 | − | 0.165079i | ||||
\(617\) | 17.3406 | + | 3.68585i | 0.698105 | + | 0.148387i | 0.543276 | − | 0.839554i | \(-0.317184\pi\) |
0.154829 | + | 0.987941i | \(0.450517\pi\) | |||||||
\(618\) | −16.8980 | + | 52.0067i | −0.679738 | + | 2.09202i | ||||
\(619\) | 7.32942 | 0.294594 | 0.147297 | − | 0.989092i | \(-0.452943\pi\) | ||||
0.147297 | + | 0.989092i | \(0.452943\pi\) | |||||||
\(620\) | 1.59612 | − | 19.8122i | 0.0641019 | − | 0.795675i | ||||
\(621\) | 46.9076 | 1.88234 | ||||||||
\(622\) | −11.0972 | + | 34.1538i | −0.444959 | + | 1.36944i | ||||
\(623\) | 7.75819 | + | 1.64905i | 0.310825 | + | 0.0660679i | ||||
\(624\) | 12.4245 | + | 9.02689i | 0.497376 | + | 0.361365i | ||||
\(625\) | 12.8082 | + | 22.1845i | 0.512328 | + | 0.887379i | ||||
\(626\) | 9.88829 | − | 17.1270i | 0.395215 | − | 0.684533i | ||||
\(627\) | −111.459 | + | 49.6245i | −4.45122 | + | 1.98181i | ||||
\(628\) | 10.2919 | − | 7.47752i | 0.410692 | − | 0.298386i | ||||
\(629\) | 43.2698 | + | 19.2649i | 1.72528 | + | 0.768143i | ||||
\(630\) | 52.6629 | − | 11.1939i | 2.09814 | − | 0.445974i | ||||
\(631\) | −4.75320 | + | 45.2237i | −0.189222 | + | 1.80033i | 0.328212 | + | 0.944604i | \(0.393554\pi\) |
−0.517434 | + | 0.855723i | \(0.673113\pi\) | |||||||
\(632\) | −2.95700 | − | 3.28408i | −0.117623 | − | 0.130634i | ||||
\(633\) | −39.7900 | + | 44.1913i | −1.58151 | + | 1.75645i | ||||
\(634\) | −0.467258 | − | 4.44566i | −0.0185572 | − | 0.176560i | ||||
\(635\) | −4.37543 | − | 13.4662i | −0.173633 | − | 0.534389i | ||||
\(636\) | 19.8542 | + | 61.1049i | 0.787270 | + | 2.42297i | ||||
\(637\) | −0.461918 | − | 4.39485i | −0.0183018 | − | 0.174130i | ||||
\(638\) | −27.1203 | + | 30.1201i | −1.07370 | + | 1.19247i | ||||
\(639\) | −10.8311 | − | 12.0292i | −0.428472 | − | 0.475867i | ||||
\(640\) | −1.48182 | + | 14.0986i | −0.0585742 | + | 0.557296i | ||||
\(641\) | 34.5638 | − | 7.34676i | 1.36519 | − | 0.290179i | 0.533677 | − | 0.845689i | \(-0.320810\pi\) |
0.831510 | + | 0.555509i | \(0.187477\pi\) | |||||||
\(642\) | −60.2386 | − | 26.8200i | −2.37743 | − | 1.05850i | ||||
\(643\) | 15.0569 | − | 10.9395i | 0.593785 | − | 0.431410i | −0.249882 | − | 0.968276i | \(-0.580392\pi\) |
0.843668 | + | 0.536866i | \(0.180392\pi\) | |||||||
\(644\) | 6.83508 | − | 3.04317i | 0.269340 | − | 0.119918i | ||||
\(645\) | −21.5918 | + | 37.3981i | −0.850177 | + | 1.47255i | ||||
\(646\) | −27.6270 | − | 47.8514i | −1.08697 | − | 1.88269i | ||||
\(647\) | −24.5987 | − | 17.8720i | −0.967073 | − | 0.702620i | −0.0122905 | − | 0.999924i | \(-0.503912\pi\) |
−0.954783 | + | 0.297305i | \(0.903912\pi\) | |||||||
\(648\) | −22.5317 | − | 4.78925i | −0.885127 | − | 0.188140i | ||||
\(649\) | −1.88924 | + | 5.81448i | −0.0741591 | + | 0.228238i | ||||
\(650\) | 0.239207 | 0.00938249 | ||||||||
\(651\) | −28.6309 | + | 6.81769i | −1.12213 | + | 0.267206i | ||||
\(652\) | −4.76929 | −0.186780 | ||||||||
\(653\) | −2.33560 | + | 7.18825i | −0.0913992 | + | 0.281298i | −0.986299 | − | 0.164970i | \(-0.947247\pi\) |
0.894899 | + | 0.446268i | \(0.147247\pi\) | |||||||
\(654\) | −5.46641 | − | 1.16192i | −0.213754 | − | 0.0454347i | ||||
\(655\) | −21.4411 | − | 15.5779i | −0.837773 | − | 0.608677i | ||||
\(656\) | 8.16332 | + | 14.1393i | 0.318724 | + | 0.552047i | ||||
\(657\) | −5.07455 | + | 8.78939i | −0.197977 | + | 0.342907i | ||||
\(658\) | −12.0045 | + | 5.34477i | −0.467986 | + | 0.208361i | ||||
\(659\) | 37.5147 | − | 27.2560i | 1.46137 | − | 1.06174i | 0.478362 | − | 0.878163i | \(-0.341231\pi\) |
0.983004 | − | 0.183582i | \(-0.0587692\pi\) | |||||||
\(660\) | −58.1569 | − | 25.8931i | −2.26375 | − | 1.00789i | ||||
\(661\) | −24.9824 | + | 5.31017i | −0.971703 | + | 0.206542i | −0.666302 | − | 0.745682i | \(-0.732124\pi\) |
−0.305401 | + | 0.952224i | \(0.598790\pi\) | |||||||
\(662\) | 2.94771 | − | 28.0456i | 0.114566 | − | 1.09002i | ||||
\(663\) | 9.40175 | + | 10.4417i | 0.365134 | + | 0.405522i | ||||
\(664\) | 0.158210 | − | 0.175710i | 0.00613972 | − | 0.00681885i | ||||
\(665\) | 2.60136 | + | 24.7503i | 0.100877 | + | 0.959776i | ||||
\(666\) | −50.7321 | − | 156.137i | −1.96583 | − | 6.05020i | ||||
\(667\) | 3.60936 | + | 11.1085i | 0.139755 | + | 0.430122i | ||||
\(668\) | −1.78113 | − | 16.9463i | −0.0689139 | − | 0.655672i | ||||
\(669\) | −41.8289 | + | 46.4557i | −1.61720 | + | 1.79608i | ||||
\(670\) | −25.0991 | − | 27.8754i | −0.969664 | − | 1.07692i | ||||
\(671\) | 0.528466 | − | 5.02801i | 0.0204012 | − | 0.194104i | ||||
\(672\) | −37.3621 | + | 7.94155i | −1.44127 | + | 0.306352i | ||||
\(673\) | −0.362589 | − | 0.161435i | −0.0139768 | − | 0.00622286i | 0.399736 | − | 0.916630i | \(-0.369102\pi\) |
−0.413713 | + | 0.910407i | \(0.635768\pi\) | |||||||
\(674\) | 4.01837 | − | 2.91952i | 0.154782 | − | 0.112456i | ||||
\(675\) | −1.83497 | + | 0.816980i | −0.0706279 | + | 0.0314456i | ||||
\(676\) | −0.788344 | + | 1.36545i | −0.0303209 | + | 0.0525174i | ||||
\(677\) | 21.7840 | + | 37.7309i | 0.837225 | + | 1.45012i | 0.892206 | + | 0.451629i | \(0.149157\pi\) |
−0.0549802 | + | 0.998487i | \(0.517510\pi\) | |||||||
\(678\) | 81.1091 | + | 58.9292i | 3.11497 | + | 2.26316i | ||||
\(679\) | −12.1401 | − | 2.58046i | −0.465895 | − | 0.0990291i | ||||
\(680\) | −2.39193 | + | 7.36160i | −0.0917263 | + | 0.282305i | ||||
\(681\) | 69.5840 | 2.66647 | ||||||||
\(682\) | 52.6837 | + | 21.9366i | 2.01736 | + | 0.839994i | ||||
\(683\) | 22.8767 | 0.875353 | 0.437677 | − | 0.899132i | \(-0.355801\pi\) | ||||
0.437677 | + | 0.899132i | \(0.355801\pi\) | |||||||
\(684\) | −26.0890 | + | 80.2937i | −0.997538 | + | 3.07011i | ||||
\(685\) | −8.14468 | − | 1.73121i | −0.311192 | − | 0.0661460i | ||||
\(686\) | 28.0684 | + | 20.3929i | 1.07166 | + | 0.778604i | ||||
\(687\) | −21.2200 | − | 36.7542i | −0.809595 | − | 1.40226i | ||||
\(688\) | 13.5274 | − | 23.4302i | 0.515728 | − | 0.893268i | ||||
\(689\) | 11.3139 | − | 5.03727i | 0.431025 | − | 0.191905i | ||||
\(690\) | −33.6689 | + | 24.4619i | −1.28175 | + | 0.931247i | ||||
\(691\) | 37.5592 | + | 16.7224i | 1.42882 | + | 0.636151i | 0.967910 | − | 0.251296i | \(-0.0808569\pi\) |
0.460909 | + | 0.887448i | \(0.347524\pi\) | |||||||
\(692\) | −25.5561 | + | 5.43212i | −0.971498 | + | 0.206498i | ||||
\(693\) | −7.12292 | + | 67.7701i | −0.270578 | + | 2.57437i | ||||
\(694\) | −20.3458 | − | 22.5963i | −0.772316 | − | 0.857744i | ||||
\(695\) | 18.0803 | − | 20.0802i | 0.685825 | − | 0.761685i | ||||
\(696\) | −1.08880 | − | 10.3592i | −0.0412707 | − | 0.392664i | ||||
\(697\) | 4.61591 | + | 14.2063i | 0.174840 | + | 0.538102i | ||||
\(698\) | −21.5918 | − | 66.4527i | −0.817261 | − | 2.51527i | ||||
\(699\) | 2.23328 | + | 21.2482i | 0.0844703 | + | 0.803681i | ||||
\(700\) | −0.214378 | + | 0.238091i | −0.00810272 | + | 0.00899898i | ||||
\(701\) | −23.9407 | − | 26.5888i | −0.904226 | − | 1.00424i | −0.999961 | − | 0.00883780i | \(-0.997187\pi\) |
0.0957350 | − | 0.995407i | \(-0.469480\pi\) | |||||||
\(702\) | 3.13935 | − | 29.8689i | 0.118487 | − | 1.12733i | ||||
\(703\) | 74.2285 | − | 15.7778i | 2.79958 | − | 0.595069i | ||||
\(704\) | 21.4432 | + | 9.54713i | 0.808171 | + | 0.359821i | ||||
\(705\) | 26.0673 | − | 18.9390i | 0.981750 | − | 0.713283i | ||||
\(706\) | 38.4518 | − | 17.1199i | 1.44715 | − | 0.644314i | ||||
\(707\) | 1.63382 | − | 2.82985i | 0.0614460 | − | 0.106428i | ||||
\(708\) | 2.92610 | + | 5.06815i | 0.109970 | + | 0.190473i | ||||
\(709\) | −26.2539 | − | 19.0746i | −0.985986 | − | 0.716361i | −0.0269474 | − | 0.999637i | \(-0.508579\pi\) |
−0.959038 | + | 0.283276i | \(0.908579\pi\) | |||||||
\(710\) | 8.66275 | + | 1.84132i | 0.325107 | + | 0.0691036i | ||||
\(711\) | −13.3501 | + | 41.0873i | −0.500667 | + | 1.54089i | ||||
\(712\) | 3.95246 | 0.148125 | ||||||||
\(713\) | 13.0660 | − | 9.98752i | 0.489324 | − | 0.374036i | ||||
\(714\) | −42.6901 | −1.59764 | ||||||||
\(715\) | −3.79198 | + | 11.6705i | −0.141812 | + | 0.436452i | ||||
\(716\) | −0.214546 | − | 0.0456032i | −0.00801796 | − | 0.00170427i | ||||
\(717\) | 13.6582 | + | 9.92328i | 0.510076 | + | 0.370592i | ||||
\(718\) | −18.4880 | − | 32.0222i | −0.689967 | − | 1.19506i | ||||
\(719\) | −21.4097 | + | 37.0827i | −0.798447 | + | 1.38295i | 0.122180 | + | 0.992508i | \(0.461012\pi\) |
−0.920627 | + | 0.390443i | \(0.872322\pi\) | |||||||
\(720\) | 75.5578 | − | 33.6405i | 2.81587 | − | 1.25371i | ||||
\(721\) | −11.4213 | + | 8.29809i | −0.425353 | + | 0.309037i | ||||
\(722\) | −48.0470 | − | 21.3919i | −1.78813 | − | 0.796125i | ||||
\(723\) | 49.4881 | − | 10.5190i | 1.84048 | − | 0.391206i | ||||
\(724\) | 1.62269 | − | 15.4389i | 0.0603070 | − | 0.573783i | ||||
\(725\) | −0.334668 | − | 0.371686i | −0.0124293 | − | 0.0138041i | ||||
\(726\) | 76.5017 | − | 84.9637i | 2.83924 | − | 3.15330i | ||||
\(727\) | −3.48887 | − | 33.1944i | −0.129395 | − | 1.23111i | −0.845828 | − | 0.533456i | \(-0.820893\pi\) |
0.716433 | − | 0.697656i | \(-0.245774\pi\) | |||||||
\(728\) | 0.397440 | + | 1.22319i | 0.0147301 | + | 0.0453346i | ||||
\(729\) | 21.1470 | + | 65.0839i | 0.783223 | + | 2.41051i | ||||
\(730\) | −0.580432 | − | 5.52244i | −0.0214828 | − | 0.204395i | ||||
\(731\) | 16.5628 | − | 18.3949i | 0.612598 | − | 0.680359i | ||||
\(732\) | −3.23823 | − | 3.59642i | −0.119688 | − | 0.132927i | ||||
\(733\) | 3.59745 | − | 34.2275i | 0.132875 | − | 1.26422i | −0.701358 | − | 0.712809i | \(-0.747423\pi\) |
0.834233 | − | 0.551412i | \(-0.185911\pi\) | |||||||
\(734\) | −45.7642 | + | 9.72748i | −1.68919 | + | 0.359048i | ||||
\(735\) | −30.0754 | − | 13.3904i | −1.10935 | − | 0.493914i | ||||
\(736\) | 17.2676 | − | 12.5456i | 0.636492 | − | 0.462439i | ||||
\(737\) | 43.3711 | − | 19.3101i | 1.59760 | − | 0.711296i | ||||
\(738\) | 25.8876 | − | 44.8386i | 0.952935 | − | 1.65053i | ||||
\(739\) | −14.7078 | − | 25.4746i | −0.541034 | − | 0.937099i | −0.998845 | − | 0.0480492i | \(-0.984700\pi\) |
0.457811 | − | 0.889050i | \(-0.348634\pi\) | |||||||
\(740\) | 32.0340 | + | 23.2741i | 1.17760 | + | 0.855573i | ||||
\(741\) | 22.0198 | + | 4.68046i | 0.808919 | + | 0.171941i | ||||
\(742\) | −11.6277 | + | 35.7864i | −0.426866 | + | 1.31376i | ||||
\(743\) | 0.387520 | 0.0142167 | 0.00710836 | − | 0.999975i | \(-0.497737\pi\) | ||||
0.00710836 | + | 0.999975i | \(0.497737\pi\) | |||||||
\(744\) | −13.2493 | + | 6.28955i | −0.485744 | + | 0.230586i | ||||
\(745\) | 32.7838 | 1.20110 | ||||||||
\(746\) | −2.67028 | + | 8.21828i | −0.0977659 | + | 0.300893i | ||||
\(747\) | −2.26093 | − | 0.480576i | −0.0827231 | − | 0.0175833i | ||||
\(748\) | 29.5211 | + | 21.4483i | 1.07940 | + | 0.784229i | ||||
\(749\) | −8.51180 | − | 14.7429i | −0.311014 | − | 0.538693i | ||||
\(750\) | −34.3324 | + | 59.4655i | −1.25364 | + | 2.17137i | ||||
\(751\) | −38.0168 | + | 16.9261i | −1.38725 | + | 0.617644i | −0.958321 | − | 0.285694i | \(-0.907776\pi\) |
−0.428930 | + | 0.903338i | \(0.641109\pi\) | |||||||
\(752\) | −16.3313 | + | 11.8654i | −0.595542 | + | 0.432687i | ||||
\(753\) | −78.5039 | − | 34.9522i | −2.86084 | − | 1.27373i | ||||
\(754\) | 7.31500 | − | 1.55485i | 0.266397 | − | 0.0566243i | ||||
\(755\) | 2.52692 | − | 24.0420i | 0.0919640 | − | 0.874979i | ||||
\(756\) | 26.9160 | + | 29.8932i | 0.978924 | + | 1.08721i | ||||
\(757\) | 30.2391 | − | 33.5839i | 1.09906 | − | 1.22063i | 0.125522 | − | 0.992091i | \(-0.459940\pi\) |
0.973535 | − | 0.228536i | \(-0.0733938\pi\) | |||||||
\(758\) | 6.95544 | + | 66.1766i | 0.252633 | + | 2.40364i | ||||
\(759\) | −16.2771 | − | 50.0957i | −0.590820 | − | 1.81836i | ||||
\(760\) | 3.83231 | + | 11.7946i | 0.139012 | + | 0.427836i | ||||
\(761\) | −1.19911 | − | 11.4088i | −0.0434677 | − | 0.413568i | −0.994521 | − | 0.104540i | \(-0.966663\pi\) |
0.951053 | − | 0.309028i | \(-0.100004\pi\) | |||||||
\(762\) | 26.0388 | − | 28.9191i | 0.943287 | − | 1.04763i | ||||
\(763\) | −0.965418 | − | 1.07220i | −0.0349505 | − | 0.0388164i | ||||
\(764\) | −1.49956 | + | 14.2673i | −0.0542521 | + | 0.516174i | ||||
\(765\) | 74.0170 | − | 15.7328i | 2.67609 | − | 0.568821i | ||||
\(766\) | 30.3062 | + | 13.4932i | 1.09501 | + | 0.487529i | ||||
\(767\) | 0.912618 | − | 0.663056i | 0.0329527 | − | 0.0239415i | ||||
\(768\) | −61.6298 | + | 27.4394i | −2.22387 | + | 0.990133i | ||||
\(769\) | −11.8835 | + | 20.5828i | −0.428530 | + | 0.742236i | −0.996743 | − | 0.0806459i | \(-0.974302\pi\) |
0.568213 | + | 0.822882i | \(0.307635\pi\) | |||||||
\(770\) | −18.6416 | − | 32.2882i | −0.671796 | − | 1.16358i | ||||
\(771\) | −27.4389 | − | 19.9355i | −0.988188 | − | 0.717961i | ||||
\(772\) | −11.0189 | − | 2.34215i | −0.396580 | − | 0.0842957i | ||||
\(773\) | −0.685866 | + | 2.11088i | −0.0246689 | + | 0.0759230i | −0.962633 | − | 0.270809i | \(-0.912709\pi\) |
0.937964 | + | 0.346732i | \(0.112709\pi\) | |||||||
\(774\) | −85.7965 | −3.08389 | ||||||||
\(775\) | −0.337174 | + | 0.618267i | −0.0121116 | + | 0.0222088i | ||||
\(776\) | −6.18487 | −0.222024 | ||||||||
\(777\) | 18.1181 | − | 55.7616i | 0.649982 | − | 2.00044i | ||||
\(778\) | −18.3943 | − | 3.90983i | −0.659468 | − | 0.140174i | ||||
\(779\) | 19.3618 | + | 14.0671i | 0.693707 | + | 0.504007i | ||||
\(780\) | 5.87310 | + | 10.1725i | 0.210291 | + | 0.364234i | ||||
\(781\) | −5.60460 | + | 9.70744i | −0.200548 | + | 0.347360i | ||||
\(782\) | 21.7924 | − | 9.70260i | 0.779295 | − | 0.346964i | ||||
\(783\) | −50.8032 | + | 36.9107i | −1.81556 | + | 1.31908i | ||||
\(784\) | 18.8425 | + | 8.38921i | 0.672946 | + | 0.299615i | ||||
\(785\) | −17.8693 | + | 3.79823i | −0.637782 | + | 0.135565i | ||||
\(786\) | 7.61371 | − | 72.4396i | 0.271572 | − | 2.58384i | ||||
\(787\) | −10.1846 | − | 11.3111i | −0.363042 | − | 0.403199i | 0.533757 | − | 0.845638i | \(-0.320780\pi\) |
−0.896798 | + | 0.442439i | \(0.854113\pi\) | |||||||
\(788\) | 8.20149 | − | 9.10868i | 0.292166 | − | 0.324483i | ||||
\(789\) | −0.523218 | − | 4.97809i | −0.0186270 | − | 0.177225i | ||||
\(790\) | −7.30419 | − | 22.4800i | −0.259872 | − | 0.799802i | ||||
\(791\) | 7.99835 | + | 24.6164i | 0.284389 | + | 0.875258i | ||||
\(792\) | 3.54952 | + | 33.7715i | 0.126127 | + | 1.20002i | ||||
\(793\) | −0.624194 | + | 0.693238i | −0.0221658 | + | 0.0246176i | ||||
\(794\) | −4.26146 | − | 4.73283i | −0.151234 | − | 0.167962i | ||||
\(795\) | 9.64425 | − | 91.7589i | 0.342046 | − | 3.25435i | ||||
\(796\) | −17.0389 | + | 3.62173i | −0.603929 | + | 0.128369i | ||||
\(797\) | −34.2513 | − | 15.2497i | −1.21324 | − | 0.540171i | −0.302502 | − | 0.953149i | \(-0.597822\pi\) |
−0.910741 | + | 0.412978i | \(0.864489\pi\) | |||||||
\(798\) | −55.3346 | + | 40.2029i | −1.95882 | + | 1.42317i | ||||
\(799\) | −16.8722 | + | 7.51199i | −0.596896 | + | 0.265755i | ||||
\(800\) | −0.456983 | + | 0.791517i | −0.0161568 | + | 0.0279844i | ||||
\(801\) | −19.3196 | − | 33.4626i | −0.682625 | − | 1.18234i | ||||
\(802\) | 44.2808 | + | 32.1719i | 1.56361 | + | 1.13603i | ||||
\(803\) | 6.87455 | + | 1.46123i | 0.242598 | + | 0.0515657i | ||||
\(804\) | 14.0432 | − | 43.2207i | 0.495267 | − | 1.52428i | ||||
\(805\) | −10.7443 | −0.378686 | ||||||||
\(806\) | −5.48521 | − | 8.98832i | −0.193208 | − | 0.316600i | ||||
\(807\) | −27.7957 | −0.978456 | ||||||||
\(808\) | 0.503185 | − | 1.54864i | 0.0177020 | − | 0.0544811i | ||||
\(809\) | 7.52472 | + | 1.59943i | 0.264555 | + | 0.0562329i | 0.338279 | − | 0.941046i | \(-0.390155\pi\) |
−0.0737243 | + | 0.997279i | \(0.523488\pi\) | |||||||
\(810\) | −99.6773 | − | 72.4198i | −3.50230 | − | 2.54457i | ||||
\(811\) | −3.93256 | − | 6.81139i | −0.138091 | − | 0.239180i | 0.788683 | − | 0.614800i | \(-0.210763\pi\) |
−0.926774 | + | 0.375620i | \(0.877430\pi\) | |||||||
\(812\) | −5.00811 | + | 8.67431i | −0.175750 | + | 0.304408i | ||||
\(813\) | 38.4980 | − | 17.1404i | 1.35018 | − | 0.601141i | ||||
\(814\) | −91.9751 | + | 66.8238i | −3.22372 | + | 2.34217i | ||||
\(815\) | 6.25674 | + | 2.78568i | 0.219164 | + | 0.0975781i | ||||
\(816\) | −64.1475 | + | 13.6350i | −2.24561 | + | 0.477320i | ||||
\(817\) | 4.14543 | − | 39.4412i | 0.145030 | − | 1.37987i | ||||
\(818\) | −45.7566 | − | 50.8179i | −1.59984 | − | 1.77681i | ||||
\(819\) | 8.41320 | − | 9.34381i | 0.293981 | − | 0.326499i | ||||
\(820\) | 1.30530 | + | 12.4191i | 0.0455830 | + | 0.433693i | ||||
\(821\) | 2.22211 | + | 6.83895i | 0.0775522 | + | 0.238681i | 0.982315 | − | 0.187234i | \(-0.0599522\pi\) |
−0.904763 | + | 0.425915i | \(0.859952\pi\) | |||||||
\(822\) | −7.07171 | − | 21.7645i | −0.246654 | − | 0.759124i | ||||
\(823\) | −5.42443 | − | 51.6100i | −0.189084 | − | 1.79901i | −0.518764 | − | 0.854918i | \(-0.673607\pi\) |
0.329680 | − | 0.944093i | \(-0.393059\pi\) | |||||||
\(824\) | −4.70741 | + | 5.22811i | −0.163990 | + | 0.182130i | ||||
\(825\) | 1.50925 | + | 1.67619i | 0.0525452 | + | 0.0583574i | ||||
\(826\) | −0.358257 | + | 3.40859i | −0.0124654 | + | 0.118600i | ||||
\(827\) | −52.4717 | + | 11.1532i | −1.82462 | + | 0.387835i | −0.987298 | − | 0.158878i | \(-0.949212\pi\) |
−0.837320 | + | 0.546713i | \(0.815879\pi\) | |||||||
\(828\) | −33.2978 | − | 14.8252i | −1.15718 | − | 0.515210i | ||||
\(829\) | −20.0827 | + | 14.5909i | −0.697501 | + | 0.506764i | −0.879117 | − | 0.476605i | \(-0.841867\pi\) |
0.181616 | + | 0.983369i | \(0.441867\pi\) | |||||||
\(830\) | 1.15532 | − | 0.514381i | 0.0401017 | − | 0.0178544i | ||||
\(831\) | −17.1546 | + | 29.7127i | −0.595088 | + | 1.03072i | ||||
\(832\) | −2.16549 | − | 3.75074i | −0.0750748 | − | 0.130033i | ||||
\(833\) | 15.2666 | + | 11.0919i | 0.528958 | + | 0.384310i | ||||
\(834\) | 72.6393 | + | 15.4400i | 2.51529 | + | 0.534642i | ||||
\(835\) | −7.56148 | + | 23.2718i | −0.261676 | + | 0.805355i | ||||
\(836\) | 58.4638 | 2.02201 | ||||||||
\(837\) | 72.7756 | + | 50.2157i | 2.51549 | + | 1.73571i | ||||
\(838\) | −11.6090 | −0.401025 | ||||||||
\(839\) | −8.34567 | + | 25.6853i | −0.288125 | + | 0.886756i | 0.697320 | + | 0.716760i | \(0.254376\pi\) |
−0.985445 | + | 0.169996i | \(0.945624\pi\) | |||||||
\(840\) | 9.37228 | + | 1.99214i | 0.323374 | + | 0.0687354i | ||||
\(841\) | 10.8113 | + | 7.85489i | 0.372804 | + | 0.270858i | ||||
\(842\) | −18.5621 | − | 32.1505i | −0.639693 | − | 1.10798i | ||||
\(843\) | 54.2937 | − | 94.0394i | 1.86997 | − | 3.23889i | ||||
\(844\) | 26.0314 | − | 11.5899i | 0.896037 | − | 0.398941i | ||||
\(845\) | 1.83176 | − | 1.33085i | 0.0630143 | − | 0.0457826i | ||||
\(846\) | 58.4815 | + | 26.0376i | 2.01063 | + | 0.895192i | ||||
\(847\) | 28.8716 | − | 6.13685i | 0.992040 | − | 0.210865i | ||||
\(848\) | −6.04219 | + | 57.4876i | −0.207490 | + | 1.97413i | ||||
\(849\) | −19.4856 | − | 21.6409i | −0.668744 | − | 0.742715i | ||||
\(850\) | −0.683504 | + | 0.759108i | −0.0234440 | + | 0.0260372i | ||||
\(851\) | 3.42461 | + | 32.5830i | 0.117394 | + | 1.11693i | ||||
\(852\) | 3.31567 | + | 10.2046i | 0.113593 | + | 0.349603i | ||||
\(853\) | 6.06632 | + | 18.6702i | 0.207707 | + | 0.639256i | 0.999591 | + | 0.0285849i | \(0.00910009\pi\) |
−0.791885 | + | 0.610671i | \(0.790900\pi\) | |||||||
\(854\) | −0.296260 | − | 2.81872i | −0.0101378 | − | 0.0964547i | ||||
\(855\) | 81.1241 | − | 90.0975i | 2.77439 | − | 3.08127i | ||||
\(856\) | −5.67641 | − | 6.30429i | −0.194016 | − | 0.215476i | ||||
\(857\) | −5.21583 | + | 49.6253i | −0.178169 | + | 1.69517i | 0.431180 | + | 0.902266i | \(0.358097\pi\) |
−0.609349 | + | 0.792902i | \(0.708569\pi\) | |||||||
\(858\) | −32.9883 | + | 7.01188i | −1.12620 | + | 0.239382i | ||||
\(859\) | 35.9003 | + | 15.9839i | 1.22490 | + | 0.545362i | 0.914246 | − | 0.405160i | \(-0.132784\pi\) |
0.310658 | + | 0.950522i | \(0.399451\pi\) | |||||||
\(860\) | 16.7410 | − | 12.1630i | 0.570863 | − | 0.414756i | ||||
\(861\) | 16.8920 | − | 7.52079i | 0.575677 | − | 0.256308i | ||||
\(862\) | −16.3526 | + | 28.3235i | −0.556972 | + | 0.964703i | ||||
\(863\) | −2.64140 | − | 4.57503i | −0.0899142 | − | 0.155736i | 0.817561 | − | 0.575843i | \(-0.195326\pi\) |
−0.907475 | + | 0.420107i | \(0.861993\pi\) | |||||||
\(864\) | 92.8363 | + | 67.4495i | 3.15835 | + | 2.29468i | ||||
\(865\) | 36.6994 | + | 7.80069i | 1.24782 | + | 0.265232i | ||||
\(866\) | −8.29996 | + | 25.5446i | −0.282044 | + | 0.868042i | ||||
\(867\) | −4.06438 | −0.138034 | ||||||||
\(868\) | 13.8622 | + | 2.59573i | 0.470514 | + | 0.0881049i | ||||
\(869\) | 29.9167 | 1.01485 | ||||||||
\(870\) | 17.2165 | − | 52.9868i | 0.583693 | − | 1.79642i | ||||
\(871\) | −8.56844 | − | 1.82128i | −0.290330 | − | 0.0617117i | ||||
\(872\) | −0.581666 | − | 0.422605i | −0.0196977 | − | 0.0143112i | ||||
\(873\) | 30.2316 | + | 52.3627i | 1.02319 | + | 1.77221i | ||||
\(874\) | 19.1098 | − | 33.0992i | 0.646400 | − | 1.11960i | ||||
\(875\) | −16.1946 | + | 7.21032i | −0.547479 | + | 0.243753i | ||||
\(876\) | 5.44267 | − | 3.95433i | 0.183891 | − | 0.133604i | ||||
\(877\) | −7.87678 | − | 3.50697i | −0.265980 | − | 0.118422i | 0.269414 | − | 0.963025i | \(-0.413170\pi\) |
−0.535394 | + | 0.844603i | \(0.679837\pi\) | |||||||
\(878\) | −4.76630 | + | 1.01311i | −0.160855 | + | 0.0341908i | ||||
\(879\) | 4.12670 | − | 39.2629i | 0.139190 | − | 1.32430i | ||||
\(880\) | −38.3241 | − | 42.5632i | −1.29191 | − | 1.43481i | ||||
\(881\) | 13.0865 | − | 14.5340i | 0.440894 | − | 0.489663i | −0.481209 | − | 0.876606i | \(-0.659802\pi\) |
0.922104 | + | 0.386943i | \(0.126469\pi\) | |||||||
\(882\) | −6.83702 | − | 65.0499i | −0.230214 | − | 2.19034i | ||||
\(883\) | 12.6061 | + | 38.7977i | 0.424230 | + | 1.30565i | 0.903730 | + | 0.428104i | \(0.140818\pi\) |
−0.479499 | + | 0.877542i | \(0.659182\pi\) | |||||||
\(884\) | −2.08058 | − | 6.40336i | −0.0699774 | − | 0.215368i | ||||
\(885\) | −0.878451 | − | 8.35790i | −0.0295288 | − | 0.280948i | ||||
\(886\) | 3.40532 | − | 3.78199i | 0.114404 | − | 0.127058i | ||||
\(887\) | −6.19266 | − | 6.87764i | −0.207929 | − | 0.230929i | 0.630155 | − | 0.776469i | \(-0.282991\pi\) |
−0.838085 | + | 0.545540i | \(0.816324\pi\) | |||||||
\(888\) | 3.05404 | − | 29.0573i | 0.102487 | − | 0.975099i | ||||
\(889\) | 9.82701 | − | 2.08880i | 0.329587 | − | 0.0700560i | ||||
\(890\) | 19.3129 | + | 8.59866i | 0.647370 | + | 0.288228i | ||||
\(891\) | 126.159 | − | 91.6601i | 4.22650 | − | 3.07073i | ||||
\(892\) | 27.3653 | − | 12.1838i | 0.916258 | − | 0.407944i | ||||
\(893\) | −14.7953 | + | 25.6262i | −0.495106 | + | 0.857549i | ||||
\(894\) | 45.0507 | + | 78.0301i | 1.50672 | + | 2.60972i | ||||
\(895\) | 0.254822 | + | 0.185139i | 0.00851778 | + | 0.00618853i | ||||
\(896\) | −9.83887 | − | 2.09132i | −0.328694 | − | 0.0698660i | ||||
\(897\) | −3.00333 | + | 9.24329i | −0.100278 | + | 0.308625i | ||||
\(898\) | −36.3930 | −1.21445 | ||||||||
\(899\) | −6.29208 | + | 21.0983i | −0.209853 | + | 0.703669i | ||||
\(900\) | 1.56078 | 0.0520260 | ||||||||
\(901\) | −16.3426 | + | 50.2973i | −0.544450 | + | 1.67564i | ||||
\(902\) | −35.0702 | − | 7.45439i | −1.16771 | − | 0.248204i | ||||
\(903\) | −24.7888 | − | 18.0101i | −0.824920 | − | 0.599340i | ||||
\(904\) | 6.44911 | + | 11.1702i | 0.214494 | + | 0.371515i | ||||
\(905\) | −11.1464 | + | 19.3062i | −0.370520 | + | 0.641760i | ||||
\(906\) | 60.6959 | − | 27.0236i | 2.01649 | − | 0.897798i | ||||
\(907\) | 31.7852 | − | 23.0933i | 1.05541 | − | 0.766799i | 0.0821751 | − | 0.996618i | \(-0.473813\pi\) |
0.973233 | + | 0.229819i | \(0.0738133\pi\) | |||||||
\(908\) | −30.4610 | − | 13.5621i | −1.01088 | − | 0.450074i | ||||
\(909\) | −15.5708 | + | 3.30967i | −0.516450 | + | 0.109775i | ||||
\(910\) | −0.719074 | + | 6.84153i | −0.0238371 | + | 0.226795i | ||||
\(911\) | −31.3930 | − | 34.8654i | −1.04010 | − | 1.15514i | −0.987675 | − | 0.156519i | \(-0.949973\pi\) |
−0.0524209 | − | 0.998625i | \(-0.516694\pi\) | |||||||
\(912\) | −70.3070 | + | 78.0838i | −2.32810 | + | 2.58561i | ||||
\(913\) | 0.167313 | + | 1.59188i | 0.00553725 | + | 0.0526834i | ||||
\(914\) | −16.6944 | − | 51.3801i | −0.552202 | − | 1.69950i | ||||
\(915\) | 2.14755 | + | 6.60947i | 0.0709957 | + | 0.218502i | ||||
\(916\) | 2.12576 | + | 20.2253i | 0.0702372 | + | 0.668262i | ||||
\(917\) | 12.5829 | − | 13.9747i | 0.415522 | − | 0.461484i | ||||
\(918\) | 85.8166 | + | 95.3090i | 2.83237 | + | 3.14567i | ||||
\(919\) | 2.21438 | − | 21.0685i | 0.0730458 | − | 0.694984i | −0.895316 | − | 0.445432i | \(-0.853050\pi\) |
0.968361 | − | 0.249552i | \(-0.0802834\pi\) | |||||||
\(920\) | −5.23713 | + | 1.11319i | −0.172663 | + | 0.0367007i | ||||
\(921\) | 56.7307 | + | 25.2581i | 1.86934 | + | 0.832284i | ||||
\(922\) | −35.3451 | + | 25.6797i | −1.16403 | + | 0.845717i | ||||
\(923\) | 1.88943 | − | 0.841229i | 0.0621914 | − | 0.0276894i | ||||
\(924\) | 22.5850 | − | 39.1184i | 0.742992 | − | 1.28690i | ||||
\(925\) | −0.701459 | − | 1.21496i | −0.0230638 | − | 0.0399477i | ||||
\(926\) | −22.5669 | − | 16.3958i | −0.741596 | − | 0.538801i | ||||
\(927\) | 67.2724 | + | 14.2992i | 2.20951 | + | 0.469647i | ||||
\(928\) | −8.82973 | + | 27.1751i | −0.289850 | + | 0.892067i | ||||
\(929\) | −26.0349 | −0.854177 | −0.427088 | − | 0.904210i | \(-0.640461\pi\) | ||||
−0.427088 | + | 0.904210i | \(0.640461\pi\) | |||||||
\(930\) | −78.4232 | + | 1.90845i | −2.57160 | + | 0.0625806i | ||||
\(931\) | 30.2342 | 0.990884 | ||||||||
\(932\) | 3.16369 | − | 9.73685i | 0.103630 | − | 0.318941i | ||||
\(933\) | 61.1137 | + | 12.9901i | 2.00077 | + | 0.425277i | ||||
\(934\) | −29.3181 | − | 21.3009i | −0.959318 | − | 0.696985i | ||||
\(935\) | −26.2005 | − | 45.3805i | −0.856847 | − | 1.48410i | ||||
\(936\) | 3.13279 | − | 5.42616i | 0.102399 | − | 0.177360i | ||||
\(937\) | −38.6931 | + | 17.2273i | −1.26405 | + | 0.562791i | −0.925710 | − | 0.378233i | \(-0.876532\pi\) |
−0.338339 | + | 0.941024i | \(0.609865\pi\) | |||||||
\(938\) | 21.5320 | − | 15.6439i | 0.703045 | − | 0.510792i | ||||
\(939\) | −31.4328 | − | 13.9948i | −1.02577 | − | 0.456702i | ||||
\(940\) | −15.1024 | + | 3.21012i | −0.492586 | + | 0.104702i | ||||
\(941\) | 3.17468 | − | 30.2050i | 0.103492 | − | 0.984656i | −0.812365 | − | 0.583150i | \(-0.801820\pi\) |
0.915856 | − | 0.401506i | \(-0.131513\pi\) | |||||||
\(942\) | −33.5959 | − | 37.3120i | −1.09461 | − | 1.21569i | ||||
\(943\) | −6.91367 | + | 7.67841i | −0.225140 | + | 0.250043i | ||||
\(944\) | 0.550356 | + | 5.23629i | 0.0179126 | + | 0.170427i | ||||
\(945\) | −17.8503 | − | 54.9375i | −0.580670 | − | 1.78712i | ||||
\(946\) | 18.3596 | + | 56.5051i | 0.596923 | + | 1.83714i | ||||
\(947\) | −2.97127 | − | 28.2697i | −0.0965532 | − | 0.918642i | −0.930375 | − | 0.366609i | \(-0.880519\pi\) |
0.833822 | − | 0.552033i | \(-0.186148\pi\) | |||||||
\(948\) | 19.1619 | − | 21.2814i | 0.622349 | − | 0.691189i | ||||
\(949\) | −0.867716 | − | 0.963696i | −0.0281672 | − | 0.0312829i | ||||
\(950\) | −0.171071 | + | 1.62763i | −0.00555028 | + | 0.0528074i | ||||
\(951\) | −7.60725 | + | 1.61697i | −0.246682 | + | 0.0524339i | ||||
\(952\) | −5.01736 | − | 2.23387i | −0.162614 | − | 0.0724002i | ||||
\(953\) | −31.1003 | + | 22.5957i | −1.00744 | + | 0.731945i | −0.963670 | − | 0.267096i | \(-0.913936\pi\) |
−0.0437666 | + | 0.999042i | \(0.513936\pi\) | |||||||
\(954\) | 167.461 | − | 74.5586i | 5.42176 | − | 2.41392i | ||||
\(955\) | 10.3006 | − | 17.8411i | 0.333319 | − | 0.577326i | ||||
\(956\) | −4.04493 | − | 7.00602i | −0.130822 | − | 0.226591i | ||||
\(957\) | 57.0482 | + | 41.4480i | 1.84411 | + | 1.33982i | ||||
\(958\) | −23.2943 | − | 4.95136i | −0.752605 | − | 0.159971i | ||||
\(959\) | 1.82571 | − | 5.61895i | 0.0589552 | − | 0.181445i | ||||
\(960\) | −32.2654 | −1.04136 | ||||||||
\(961\) | 30.9633 | − | 1.50790i | 0.998816 | − | 0.0486418i | ||||
\(962\) | 20.9768 | 0.676319 | ||||||||
\(963\) | −25.6275 | + | 78.8733i | −0.825835 | + | 2.54166i | ||||
\(964\) | −23.7140 | − | 5.04057i | −0.763776 | − | 0.162346i | ||||
\(965\) | 13.0875 | + | 9.50863i | 0.421302 | + | 0.306093i | ||||
\(966\) | −14.7645 | − | 25.5729i | −0.475041 | − | 0.822795i | ||||
\(967\) | 6.17445 | − | 10.6945i | 0.198557 | − | 0.343911i | −0.749504 | − | 0.662000i | \(-0.769708\pi\) |
0.948061 | + | 0.318089i | \(0.103041\pi\) | |||||||
\(968\) | 13.4372 | − | 5.98262i | 0.431888 | − | 0.192289i | ||||
\(969\) | −77.7720 | + | 56.5046i | −2.49840 | + | 1.81519i | ||||
\(970\) | −30.2211 | − | 13.4553i | −0.970342 | − | 0.432024i | ||||
\(971\) | 39.7393 | − | 8.44686i | 1.27530 | − | 0.271073i | 0.479987 | − | 0.877276i | \(-0.340642\pi\) |
0.795310 | + | 0.606203i | \(0.207308\pi\) | |||||||
\(972\) | 7.75135 | − | 73.7492i | 0.248625 | − | 2.36551i | ||||
\(973\) | 12.8288 | + | 14.2478i | 0.411271 | + | 0.456763i | ||||
\(974\) | −16.3208 | + | 18.1261i | −0.522952 | + | 0.580797i | ||||
\(975\) | −0.0435021 | − | 0.413895i | −0.00139318 | − | 0.0132552i | ||||
\(976\) | −1.34545 | − | 4.14088i | −0.0430669 | − | 0.132546i | ||||
\(977\) | −16.6629 | − | 51.2832i | −0.533094 | − | 1.64069i | −0.747732 | − | 0.664001i | \(-0.768857\pi\) |
0.214638 | − | 0.976694i | \(-0.431143\pi\) | |||||||
\(978\) | 1.96755 | + | 18.7200i | 0.0629152 | + | 0.598598i | ||||
\(979\) | −17.9041 | + | 19.8845i | −0.572216 | + | 0.635510i | ||||
\(980\) | 10.5559 | + | 11.7236i | 0.337197 | + | 0.374495i | ||||
\(981\) | −0.734702 | + | 6.99023i | −0.0234572 | + | 0.223181i | ||||
\(982\) | −36.8569 | + | 7.83417i | −1.17615 | + | 0.249998i | ||||
\(983\) | 30.4102 | + | 13.5395i | 0.969934 | + | 0.431843i | 0.829659 | − | 0.558270i | \(-0.188535\pi\) |
0.140275 | + | 0.990113i | \(0.455201\pi\) | |||||||
\(984\) | 7.45451 | − | 5.41602i | 0.237641 | − | 0.172656i | ||||
\(985\) | −16.0796 | + | 7.15911i | −0.512340 | + | 0.228108i | ||||
\(986\) | −15.9675 | + | 27.6564i | −0.508507 | + | 0.880760i | ||||
\(987\) | 11.4311 | + | 19.7992i | 0.363855 | + | 0.630215i | ||||
\(988\) | −8.72713 | − | 6.34063i | −0.277647 | − | 0.201722i | ||||
\(989\) | 16.7475 | + | 3.55980i | 0.532540 | + | 0.113195i | ||||
\(990\) | −56.1265 | + | 172.739i | −1.78382 | + | 5.49002i | ||||
\(991\) | −23.9415 | −0.760526 | −0.380263 | − | 0.924878i | \(-0.624166\pi\) | ||||
−0.380263 | + | 0.924878i | \(0.624166\pi\) | |||||||
\(992\) | 40.2206 | − | 0.978779i | 1.27700 | − | 0.0310763i | ||||
\(993\) | −49.0627 | −1.55696 | ||||||||
\(994\) | −1.94184 | + | 5.97636i | −0.0615913 | + | 0.189559i | ||||
\(995\) | 24.4684 | + | 5.20092i | 0.775701 | + | 0.164880i | ||||
\(996\) | 1.23956 | + | 0.900591i | 0.0392769 | + | 0.0285363i | ||||
\(997\) | 23.0274 | + | 39.8847i | 0.729286 | + | 1.26316i | 0.957185 | + | 0.289476i | \(0.0934812\pi\) |
−0.227899 | + | 0.973685i | \(0.573185\pi\) | |||||||
\(998\) | 30.2256 | − | 52.3522i | 0.956774 | − | 1.65718i | ||||
\(999\) | −160.914 | + | 71.6434i | −5.09108 | + | 2.26670i |
(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 | 403.2.bi.a.40.4 | ✓ | 120 | |
31.7 | even | 15 | inner | 403.2.bi.a.131.4 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bi.a.40.4 | ✓ | 120 | 1.1 | even | 1 | trivial | |
403.2.bi.a.131.4 | yes | 120 | 31.7 | even | 15 | inner |