Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (of order \(21\), degree \(12\), 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: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 16.3 | ||
Character | \(\chi\) | \(=\) | 49.16 |
Dual form | 49.2.g.a.46.3 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{10}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0341744 | + | 0.0870750i | 0.0241650 | + | 0.0615713i | 0.942447 | − | 0.334356i | \(-0.108519\pi\) |
−0.918282 | + | 0.395927i | \(0.870423\pi\) | |||||||
\(3\) | −0.0823774 | − | 1.09925i | −0.0475606 | − | 0.634652i | −0.969148 | − | 0.246481i | \(-0.920726\pi\) |
0.921587 | − | 0.388172i | \(-0.126893\pi\) | |||||||
\(4\) | 1.45969 | − | 1.35439i | 0.729845 | − | 0.677197i | ||||
\(5\) | −2.09852 | + | 1.43075i | −0.938486 | + | 0.639849i | −0.932900 | − | 0.360136i | \(-0.882730\pi\) |
−0.00558567 | + | 0.999984i | \(0.501778\pi\) | |||||||
\(6\) | 0.0929020 | − | 0.0447392i | 0.0379271 | − | 0.0182647i | ||||
\(7\) | −0.301609 | + | 2.62850i | −0.113997 | + | 0.993481i | ||||
\(8\) | 0.336373 | + | 0.161989i | 0.118926 | + | 0.0572717i | ||||
\(9\) | 1.76493 | − | 0.266020i | 0.588310 | − | 0.0886734i | ||||
\(10\) | −0.196298 | − | 0.133834i | −0.0620748 | − | 0.0423219i | ||||
\(11\) | −5.58784 | − | 0.842231i | −1.68480 | − | 0.253942i | −0.764348 | − | 0.644804i | \(-0.776939\pi\) |
−0.920449 | + | 0.390862i | \(0.872177\pi\) | |||||||
\(12\) | −1.60906 | − | 1.49299i | −0.464496 | − | 0.430990i | ||||
\(13\) | −2.04987 | + | 2.57046i | −0.568533 | + | 0.712918i | −0.980110 | − | 0.198457i | \(-0.936407\pi\) |
0.411577 | + | 0.911375i | \(0.364978\pi\) | |||||||
\(14\) | −0.239184 | + | 0.0635650i | −0.0639247 | + | 0.0169885i | ||||
\(15\) | 1.74562 | + | 2.18893i | 0.450716 | + | 0.565180i | ||||
\(16\) | 0.295003 | − | 3.93654i | 0.0737507 | − | 0.984135i | ||||
\(17\) | 3.14655 | − | 0.970581i | 0.763150 | − | 0.235401i | 0.111339 | − | 0.993782i | \(-0.464486\pi\) |
0.651810 | + | 0.758382i | \(0.274010\pi\) | |||||||
\(18\) | 0.0834792 | + | 0.144590i | 0.0196762 | + | 0.0340802i | ||||
\(19\) | 1.63713 | − | 2.83559i | 0.375583 | − | 0.650529i | −0.614831 | − | 0.788659i | \(-0.710776\pi\) |
0.990414 | + | 0.138130i | \(0.0441091\pi\) | |||||||
\(20\) | −1.12539 | + | 4.93066i | −0.251645 | + | 1.10253i | ||||
\(21\) | 2.91423 | + | 0.115014i | 0.635937 | + | 0.0250981i | ||||
\(22\) | −0.117624 | − | 0.515344i | −0.0250775 | − | 0.109872i | ||||
\(23\) | 3.48067 | + | 1.07365i | 0.725770 | + | 0.223870i | 0.635559 | − | 0.772052i | \(-0.280770\pi\) |
0.0902111 | + | 0.995923i | \(0.471246\pi\) | |||||||
\(24\) | 0.150357 | − | 0.383103i | 0.0306914 | − | 0.0782005i | ||||
\(25\) | 0.530039 | − | 1.35052i | 0.106008 | − | 0.270104i | ||||
\(26\) | −0.293876 | − | 0.0906489i | −0.0576339 | − | 0.0177777i | ||||
\(27\) | −1.17369 | − | 5.14227i | −0.225876 | − | 0.989630i | ||||
\(28\) | 3.11977 | + | 4.24530i | 0.589582 | + | 0.802286i | ||||
\(29\) | −0.333666 | + | 1.46189i | −0.0619602 | + | 0.271466i | −0.996413 | − | 0.0846210i | \(-0.973032\pi\) |
0.934453 | + | 0.356087i | \(0.115889\pi\) | |||||||
\(30\) | −0.130946 | + | 0.226805i | −0.0239074 | + | 0.0414088i | ||||
\(31\) | −3.45509 | − | 5.98439i | −0.620553 | − | 1.07483i | −0.989383 | − | 0.145332i | \(-0.953575\pi\) |
0.368830 | − | 0.929497i | \(-0.379758\pi\) | |||||||
\(32\) | 1.06637 | − | 0.328933i | 0.188510 | − | 0.0581477i | ||||
\(33\) | −0.465511 | + | 6.21181i | −0.0810351 | + | 1.08134i | ||||
\(34\) | 0.192045 | + | 0.240817i | 0.0329354 | + | 0.0412997i | ||||
\(35\) | −3.12779 | − | 5.94749i | −0.528693 | − | 1.00531i | ||||
\(36\) | 2.21595 | − | 2.77872i | 0.369325 | − | 0.463119i | ||||
\(37\) | 2.58665 | + | 2.40006i | 0.425243 | + | 0.394568i | 0.863555 | − | 0.504255i | \(-0.168233\pi\) |
−0.438312 | + | 0.898823i | \(0.644423\pi\) | |||||||
\(38\) | 0.302857 | + | 0.0456484i | 0.0491299 | + | 0.00740514i | ||||
\(39\) | 2.99444 | + | 2.04158i | 0.479495 | + | 0.326914i | ||||
\(40\) | −0.937650 | + | 0.141328i | −0.148256 | + | 0.0223459i | ||||
\(41\) | 1.46507 | + | 0.705541i | 0.228805 | + | 0.110187i | 0.544774 | − | 0.838583i | \(-0.316615\pi\) |
−0.315969 | + | 0.948770i | \(0.602330\pi\) | |||||||
\(42\) | 0.0895772 | + | 0.257687i | 0.0138221 | + | 0.0397620i | ||||
\(43\) | −1.89663 | + | 0.913369i | −0.289233 | + | 0.139287i | −0.572875 | − | 0.819643i | \(-0.694172\pi\) |
0.283641 | + | 0.958930i | \(0.408458\pi\) | |||||||
\(44\) | −9.29723 | + | 6.33874i | −1.40161 | + | 0.955601i | ||||
\(45\) | −3.32313 | + | 3.08341i | −0.495382 | + | 0.459648i | ||||
\(46\) | 0.0254623 | + | 0.339771i | 0.00375421 | + | 0.0500965i | ||||
\(47\) | −1.89671 | − | 4.83275i | −0.276664 | − | 0.704928i | −0.999897 | − | 0.0143247i | \(-0.995440\pi\) |
0.723233 | − | 0.690604i | \(-0.242655\pi\) | |||||||
\(48\) | −4.35154 | −0.628091 | ||||||||
\(49\) | −6.81806 | − | 1.58556i | −0.974009 | − | 0.226509i | ||||
\(50\) | 0.135710 | 0.0191923 | ||||||||
\(51\) | −1.32612 | − | 3.37889i | −0.185693 | − | 0.473139i | ||||
\(52\) | 0.489237 | + | 6.52841i | 0.0678450 | + | 0.905328i | ||||
\(53\) | −2.59862 | + | 2.41116i | −0.356947 | + | 0.331199i | −0.838179 | − | 0.545394i | \(-0.816380\pi\) |
0.481232 | + | 0.876593i | \(0.340189\pi\) | |||||||
\(54\) | 0.407653 | − | 0.277933i | 0.0554745 | − | 0.0378219i | ||||
\(55\) | 12.9312 | − | 6.22734i | 1.74364 | − | 0.839694i | ||||
\(56\) | −0.527242 | + | 0.835301i | −0.0704556 | + | 0.111622i | ||||
\(57\) | −3.25188 | − | 1.56602i | −0.430723 | − | 0.207425i | ||||
\(58\) | −0.138697 | + | 0.0209052i | −0.0182118 | + | 0.00274498i | ||||
\(59\) | 3.52556 | + | 2.40369i | 0.458989 | + | 0.312933i | 0.770648 | − | 0.637260i | \(-0.219932\pi\) |
−0.311660 | + | 0.950194i | \(0.600885\pi\) | |||||||
\(60\) | 5.51274 | + | 0.830911i | 0.711691 | + | 0.107270i | ||||
\(61\) | 7.78410 | + | 7.22259i | 0.996652 | + | 0.924758i | 0.997165 | − | 0.0752415i | \(-0.0239728\pi\) |
−0.000512856 | 1.00000i | \(0.500163\pi\) | ||||||||
\(62\) | 0.403016 | − | 0.505366i | 0.0511830 | − | 0.0641815i | ||||
\(63\) | 0.166917 | + | 4.71936i | 0.0210296 | + | 0.594583i | ||||
\(64\) | −4.85746 | − | 6.09107i | −0.607183 | − | 0.761383i | ||||
\(65\) | 0.624023 | − | 8.32701i | 0.0774005 | − | 1.03284i | ||||
\(66\) | −0.556802 | + | 0.171751i | −0.0685376 | + | 0.0211411i | ||||
\(67\) | 0.328115 | + | 0.568312i | 0.0400856 | + | 0.0694303i | 0.885372 | − | 0.464883i | \(-0.153904\pi\) |
−0.845287 | + | 0.534313i | \(0.820570\pi\) | |||||||
\(68\) | 3.27843 | − | 5.67841i | 0.397568 | − | 0.688609i | ||||
\(69\) | 0.893475 | − | 3.91457i | 0.107562 | − | 0.471259i | ||||
\(70\) | 0.410987 | − | 0.475604i | 0.0491224 | − | 0.0568456i | ||||
\(71\) | 0.233268 | + | 1.02201i | 0.0276838 | + | 0.121291i | 0.986882 | − | 0.161445i | \(-0.0516154\pi\) |
−0.959198 | + | 0.282735i | \(0.908758\pi\) | |||||||
\(72\) | 0.636767 | + | 0.196417i | 0.0750437 | + | 0.0231479i | ||||
\(73\) | −1.98838 | + | 5.06632i | −0.232723 | + | 0.592968i | −0.998758 | − | 0.0498311i | \(-0.984132\pi\) |
0.766035 | + | 0.642799i | \(0.222227\pi\) | |||||||
\(74\) | −0.120588 | + | 0.307254i | −0.0140181 | + | 0.0357175i | ||||
\(75\) | −1.52822 | − | 0.471393i | −0.176464 | − | 0.0544318i | ||||
\(76\) | −1.45081 | − | 6.35640i | −0.166419 | − | 0.729129i | ||||
\(77\) | 3.89915 | − | 14.4336i | 0.444349 | − | 1.64487i | ||||
\(78\) | −0.0754370 | + | 0.330511i | −0.00854155 | + | 0.0374230i | ||||
\(79\) | −4.42315 | + | 7.66113i | −0.497644 | + | 0.861944i | −0.999996 | − | 0.00271872i | \(-0.999135\pi\) |
0.502353 | + | 0.864663i | \(0.332468\pi\) | |||||||
\(80\) | 5.01311 | + | 8.68297i | 0.560483 | + | 0.970785i | ||||
\(81\) | −0.439246 | + | 0.135490i | −0.0488051 | + | 0.0150544i | ||||
\(82\) | −0.0113670 | + | 0.151682i | −0.00125528 | + | 0.0167505i | ||||
\(83\) | 7.79198 | + | 9.77083i | 0.855281 | + | 1.07249i | 0.996589 | + | 0.0825228i | \(0.0262977\pi\) |
−0.141308 | + | 0.989966i | \(0.545131\pi\) | |||||||
\(84\) | 4.40964 | − | 3.77913i | 0.481131 | − | 0.412337i | ||||
\(85\) | −5.21443 | + | 6.53869i | −0.565584 | + | 0.709220i | ||||
\(86\) | −0.144348 | − | 0.133935i | −0.0155654 | − | 0.0144426i | ||||
\(87\) | 1.63446 | + | 0.246356i | 0.175233 | + | 0.0264121i | ||||
\(88\) | −1.74317 | − | 1.18847i | −0.185822 | − | 0.126692i | ||||
\(89\) | 17.2551 | − | 2.60079i | 1.82904 | − | 0.275684i | 0.857835 | − | 0.513925i | \(-0.171809\pi\) |
0.971206 | + | 0.238242i | \(0.0765711\pi\) | |||||||
\(90\) | −0.382054 | − | 0.183988i | −0.0402720 | − | 0.0193940i | ||||
\(91\) | −6.13821 | − | 6.16338i | −0.643459 | − | 0.646098i | ||||
\(92\) | 6.53484 | − | 3.14701i | 0.681304 | − | 0.328099i | ||||
\(93\) | −6.29372 | + | 4.29099i | −0.652629 | + | 0.444955i | ||||
\(94\) | 0.355992 | − | 0.330313i | 0.0367178 | − | 0.0340692i | ||||
\(95\) | 0.621463 | + | 8.29285i | 0.0637608 | + | 0.850828i | ||||
\(96\) | −0.449425 | − | 1.14512i | −0.0458692 | − | 0.116873i | ||||
\(97\) | −16.4625 | −1.67151 | −0.835757 | − | 0.549099i | \(-0.814971\pi\) | ||||
−0.835757 | + | 0.549099i | \(0.814971\pi\) | |||||||
\(98\) | −0.0949408 | − | 0.647869i | −0.00959047 | − | 0.0654446i | ||||
\(99\) | −10.0862 | −1.01370 | ||||||||
\(100\) | −1.05544 | − | 2.68922i | −0.105544 | − | 0.268922i | ||||
\(101\) | −0.755878 | − | 10.0865i | −0.0752127 | − | 1.00364i | −0.899343 | − | 0.437244i | \(-0.855955\pi\) |
0.824130 | − | 0.566400i | \(-0.191664\pi\) | |||||||
\(102\) | 0.248897 | − | 0.230943i | 0.0246445 | − | 0.0228668i | ||||
\(103\) | −6.92198 | + | 4.71932i | −0.682043 | + | 0.465009i | −0.854121 | − | 0.520074i | \(-0.825904\pi\) |
0.172078 | + | 0.985083i | \(0.444952\pi\) | |||||||
\(104\) | −1.10591 | + | 0.532578i | −0.108443 | + | 0.0522236i | ||||
\(105\) | −6.28011 | + | 3.92816i | −0.612876 | + | 0.383349i | ||||
\(106\) | −0.298758 | − | 0.143874i | −0.0290180 | − | 0.0139743i | ||||
\(107\) | −10.2174 | + | 1.54002i | −0.987750 | + | 0.148879i | −0.622996 | − | 0.782225i | \(-0.714085\pi\) |
−0.364754 | + | 0.931104i | \(0.618847\pi\) | |||||||
\(108\) | −8.67788 | − | 5.91648i | −0.835029 | − | 0.569313i | ||||
\(109\) | 8.47138 | + | 1.27685i | 0.811411 | + | 0.122300i | 0.541625 | − | 0.840620i | \(-0.317809\pi\) |
0.269785 | + | 0.962920i | \(0.413047\pi\) | |||||||
\(110\) | 0.984162 | + | 0.913169i | 0.0938362 | + | 0.0870672i | ||||
\(111\) | 2.42519 | − | 3.04109i | 0.230188 | − | 0.288647i | ||||
\(112\) | 10.2582 | + | 1.96271i | 0.969312 | + | 0.185459i | ||||
\(113\) | 2.26646 | + | 2.84205i | 0.213211 | + | 0.267358i | 0.876924 | − | 0.480629i | \(-0.159592\pi\) |
−0.663713 | + | 0.747987i | \(0.731020\pi\) | |||||||
\(114\) | 0.0252304 | − | 0.336676i | 0.00236304 | − | 0.0315326i | ||||
\(115\) | −8.84036 | + | 2.72689i | −0.824368 | + | 0.254284i | ||||
\(116\) | 1.49292 | + | 2.58582i | 0.138614 | + | 0.240087i | ||||
\(117\) | −2.93409 | + | 5.08199i | −0.271257 | + | 0.469830i | ||||
\(118\) | −0.0888171 | + | 0.389133i | −0.00817627 | + | 0.0358226i | ||||
\(119\) | 1.60215 | + | 8.56345i | 0.146869 | + | 0.785010i | ||||
\(120\) | 0.232596 | + | 1.01907i | 0.0212330 | + | 0.0930279i | ||||
\(121\) | 20.0033 | + | 6.17020i | 1.81848 | + | 0.560927i | ||||
\(122\) | −0.362890 | + | 0.924629i | −0.0328545 | + | 0.0837120i | ||||
\(123\) | 0.654877 | − | 1.66860i | 0.0590482 | − | 0.150452i | ||||
\(124\) | −13.1486 | − | 4.05580i | −1.18078 | − | 0.364222i | ||||
\(125\) | −2.00589 | − | 8.78839i | −0.179412 | − | 0.786057i | ||||
\(126\) | −0.405234 | + | 0.175816i | −0.0361011 | + | 0.0156629i | ||||
\(127\) | 3.53659 | − | 15.4948i | 0.313822 | − | 1.37494i | −0.534368 | − | 0.845252i | \(-0.679450\pi\) |
0.848190 | − | 0.529692i | \(-0.177692\pi\) | |||||||
\(128\) | 1.48033 | − | 2.56401i | 0.130844 | − | 0.226629i | ||||
\(129\) | 1.16026 | + | 2.00963i | 0.102155 | + | 0.176938i | ||||
\(130\) | 0.746400 | − | 0.230234i | 0.0654636 | − | 0.0201929i | ||||
\(131\) | 0.342826 | − | 4.57470i | 0.0299529 | − | 0.399693i | −0.961997 | − | 0.273061i | \(-0.911964\pi\) |
0.991950 | − | 0.126633i | \(-0.0404169\pi\) | |||||||
\(132\) | 7.73374 | + | 9.69780i | 0.673136 | + | 0.844085i | ||||
\(133\) | 6.95959 | + | 5.15844i | 0.603473 | + | 0.447293i | ||||
\(134\) | −0.0382726 | + | 0.0479924i | −0.00330625 | + | 0.00414591i | ||||
\(135\) | 9.82028 | + | 9.11189i | 0.845195 | + | 0.784226i | ||||
\(136\) | 1.21564 | + | 0.183228i | 0.104240 | + | 0.0157117i | ||||
\(137\) | −8.51512 | − | 5.80551i | −0.727496 | − | 0.495998i | 0.142044 | − | 0.989860i | \(-0.454632\pi\) |
−0.869540 | + | 0.493862i | \(0.835585\pi\) | |||||||
\(138\) | 0.371395 | − | 0.0559789i | 0.0316153 | − | 0.00476524i | ||||
\(139\) | 3.87696 | + | 1.86705i | 0.328840 | + | 0.158361i | 0.591018 | − | 0.806659i | \(-0.298726\pi\) |
−0.262178 | + | 0.965020i | \(0.584441\pi\) | |||||||
\(140\) | −12.6208 | − | 4.44523i | −1.06666 | − | 0.375690i | ||||
\(141\) | −5.15615 | + | 2.48307i | −0.434226 | + | 0.209112i | ||||
\(142\) | −0.0810200 | + | 0.0552385i | −0.00679905 | + | 0.00463551i | ||||
\(143\) | 13.6193 | − | 12.6369i | 1.13890 | − | 1.05675i | ||||
\(144\) | −0.526540 | − | 7.02619i | −0.0438783 | − | 0.585516i | ||||
\(145\) | −1.39138 | − | 3.54519i | −0.115548 | − | 0.294412i | ||||
\(146\) | −0.509102 | −0.0421336 | ||||||||
\(147\) | −1.18127 | + | 7.62537i | −0.0974296 | + | 0.628930i | ||||
\(148\) | 7.02634 | 0.577561 | ||||||||
\(149\) | −7.15396 | − | 18.2280i | −0.586075 | − | 1.49330i | −0.848954 | − | 0.528466i | \(-0.822767\pi\) |
0.262879 | − | 0.964829i | \(-0.415328\pi\) | |||||||
\(150\) | −0.0111795 | − | 0.149179i | −0.000912798 | − | 0.0121804i | ||||
\(151\) | −4.50881 | + | 4.18356i | −0.366922 | + | 0.340453i | −0.841988 | − | 0.539497i | \(-0.818615\pi\) |
0.475066 | + | 0.879950i | \(0.342424\pi\) | |||||||
\(152\) | 1.01002 | − | 0.688620i | 0.0819235 | − | 0.0558545i | ||||
\(153\) | 5.29524 | − | 2.55005i | 0.428095 | − | 0.206159i | ||||
\(154\) | 1.39006 | − | 0.153743i | 0.112014 | − | 0.0123889i | ||||
\(155\) | 15.8127 | + | 7.61500i | 1.27011 | + | 0.611652i | ||||
\(156\) | 7.13606 | − | 1.07559i | 0.571342 | − | 0.0861159i | ||||
\(157\) | 4.67286 | + | 3.18590i | 0.372935 | + | 0.254263i | 0.735254 | − | 0.677791i | \(-0.237063\pi\) |
−0.362319 | + | 0.932054i | \(0.618015\pi\) | |||||||
\(158\) | −0.818252 | − | 0.123332i | −0.0650966 | − | 0.00981174i | ||||
\(159\) | 2.86454 | + | 2.65790i | 0.227173 | + | 0.210785i | ||||
\(160\) | −1.76719 | + | 2.21598i | −0.139708 | + | 0.175189i | ||||
\(161\) | −3.87188 | + | 8.82514i | −0.305147 | + | 0.695518i | ||||
\(162\) | −0.0268088 | − | 0.0336171i | −0.00210629 | − | 0.00264121i | ||||
\(163\) | 0.744970 | − | 9.94094i | 0.0583506 | − | 0.778635i | −0.888892 | − | 0.458117i | \(-0.848524\pi\) |
0.947243 | − | 0.320518i | \(-0.103857\pi\) | |||||||
\(164\) | 3.09413 | − | 0.954412i | 0.241611 | − | 0.0745270i | ||||
\(165\) | −7.91064 | − | 13.7016i | −0.615842 | − | 1.06667i | ||||
\(166\) | −0.584509 | + | 1.01240i | −0.0453667 | + | 0.0785775i | ||||
\(167\) | −4.79486 | + | 21.0076i | −0.371037 | + | 1.62562i | 0.352835 | + | 0.935686i | \(0.385218\pi\) |
−0.723872 | + | 0.689935i | \(0.757639\pi\) | |||||||
\(168\) | 0.961638 | + | 0.510760i | 0.0741920 | + | 0.0394060i | ||||
\(169\) | 0.487485 | + | 2.13581i | 0.0374989 | + | 0.164293i | ||||
\(170\) | −0.747557 | − | 0.230591i | −0.0573350 | − | 0.0176855i | ||||
\(171\) | 2.13509 | − | 5.44012i | 0.163275 | − | 0.416017i | ||||
\(172\) | −1.53143 | + | 3.90202i | −0.116770 | + | 0.297526i | ||||
\(173\) | −8.72078 | − | 2.69000i | −0.663029 | − | 0.204517i | −0.0550658 | − | 0.998483i | \(-0.517537\pi\) |
−0.607963 | + | 0.793965i | \(0.708013\pi\) | |||||||
\(174\) | 0.0344055 | + | 0.150740i | 0.00260827 | + | 0.0114276i | ||||
\(175\) | 3.38998 | + | 1.80054i | 0.256258 | + | 0.136108i | ||||
\(176\) | −4.96390 | + | 21.7483i | −0.374168 | + | 1.63934i | ||||
\(177\) | 2.35183 | − | 4.07348i | 0.176774 | − | 0.306182i | ||||
\(178\) | 0.816149 | + | 1.41361i | 0.0611729 | + | 0.105955i | ||||
\(179\) | −4.61508 | + | 1.42356i | −0.344948 | + | 0.106402i | −0.462388 | − | 0.886678i | \(-0.653007\pi\) |
0.117440 | + | 0.993080i | \(0.462531\pi\) | |||||||
\(180\) | −0.674580 | + | 9.00165i | −0.0502802 | + | 0.670943i | ||||
\(181\) | −6.22935 | − | 7.81136i | −0.463024 | − | 0.580614i | 0.494424 | − | 0.869221i | \(-0.335379\pi\) |
−0.957447 | + | 0.288608i | \(0.906808\pi\) | |||||||
\(182\) | 0.326907 | − | 0.745115i | 0.0242319 | − | 0.0552316i | ||||
\(183\) | 7.29820 | − | 9.15165i | 0.539498 | − | 0.676510i | ||||
\(184\) | 0.996887 | + | 0.924976i | 0.0734915 | + | 0.0681901i | ||||
\(185\) | −8.86201 | − | 1.33573i | −0.651548 | − | 0.0982051i | ||||
\(186\) | −0.588722 | − | 0.401384i | −0.0431672 | − | 0.0294309i | ||||
\(187\) | −18.3999 | + | 2.77333i | −1.34553 | + | 0.202806i | ||||
\(188\) | −9.31405 | − | 4.48541i | −0.679297 | − | 0.327132i | ||||
\(189\) | 13.8705 | − | 1.53409i | 1.00893 | − | 0.111589i | ||||
\(190\) | −0.700862 | + | 0.337517i | −0.0508459 | + | 0.0244861i | ||||
\(191\) | −1.14387 | + | 0.779879i | −0.0827677 | + | 0.0564301i | −0.603997 | − | 0.796987i | \(-0.706426\pi\) |
0.521229 | + | 0.853417i | \(0.325474\pi\) | |||||||
\(192\) | −6.29546 | + | 5.84133i | −0.454336 | + | 0.421562i | ||||
\(193\) | −1.62094 | − | 21.6300i | −0.116678 | − | 1.55696i | −0.681543 | − | 0.731778i | \(-0.738691\pi\) |
0.564865 | − | 0.825183i | \(-0.308928\pi\) | |||||||
\(194\) | −0.562597 | − | 1.43347i | −0.0403921 | − | 0.102917i | ||||
\(195\) | −9.20487 | −0.659174 | ||||||||
\(196\) | −12.0997 | + | 6.91992i | −0.864266 | + | 0.494280i | ||||
\(197\) | 11.4909 | 0.818692 | 0.409346 | − | 0.912379i | \(-0.365757\pi\) | ||||
0.409346 | + | 0.912379i | \(0.365757\pi\) | |||||||
\(198\) | −0.344690 | − | 0.878255i | −0.0244960 | − | 0.0624149i | ||||
\(199\) | −0.0171235 | − | 0.228498i | −0.00121386 | − | 0.0161978i | 0.996564 | − | 0.0828265i | \(-0.0263947\pi\) |
−0.997778 | + | 0.0666287i | \(0.978776\pi\) | |||||||
\(200\) | 0.397060 | − | 0.368418i | 0.0280764 | − | 0.0260511i | ||||
\(201\) | 0.597687 | − | 0.407496i | 0.0421576 | − | 0.0287426i | ||||
\(202\) | 0.852450 | − | 0.410518i | 0.0599782 | − | 0.0288840i | ||||
\(203\) | −3.74194 | − | 1.31796i | −0.262633 | − | 0.0925027i | ||||
\(204\) | −6.51206 | − | 3.13604i | −0.455936 | − | 0.219567i | ||||
\(205\) | −4.08392 | + | 0.615552i | −0.285234 | + | 0.0429920i | ||||
\(206\) | −0.647490 | − | 0.441451i | −0.0451128 | − | 0.0307574i | ||||
\(207\) | 6.42875 | + | 0.968978i | 0.446829 | + | 0.0673486i | ||||
\(208\) | 9.51400 | + | 8.82770i | 0.659677 | + | 0.612091i | ||||
\(209\) | −11.5362 | + | 14.4660i | −0.797978 | + | 1.00063i | ||||
\(210\) | −0.556664 | − | 0.412599i | −0.0384135 | − | 0.0284720i | ||||
\(211\) | 8.37791 | + | 10.5056i | 0.576759 | + | 0.723233i | 0.981556 | − | 0.191173i | \(-0.0612293\pi\) |
−0.404797 | + | 0.914406i | \(0.632658\pi\) | |||||||
\(212\) | −0.527507 | + | 7.03910i | −0.0362294 | + | 0.483447i | ||||
\(213\) | 1.10423 | − | 0.340610i | 0.0756607 | − | 0.0233382i | ||||
\(214\) | −0.483270 | − | 0.837048i | −0.0330357 | − | 0.0572194i | ||||
\(215\) | 2.67331 | − | 4.63032i | 0.182318 | − | 0.315785i | ||||
\(216\) | 0.438192 | − | 1.91985i | 0.0298152 | − | 0.130629i | ||||
\(217\) | 16.7721 | − | 7.27678i | 1.13856 | − | 0.493980i | ||||
\(218\) | 0.178322 | + | 0.781281i | 0.0120775 | + | 0.0529150i | ||||
\(219\) | 5.73295 | + | 1.76838i | 0.387397 | + | 0.119496i | ||||
\(220\) | 10.4413 | − | 26.6039i | 0.703950 | − | 1.79364i | ||||
\(221\) | −3.95519 | + | 10.0777i | −0.266055 | + | 0.677896i | ||||
\(222\) | 0.347682 | + | 0.107246i | 0.0233349 | + | 0.00719786i | ||||
\(223\) | 0.463950 | + | 2.03270i | 0.0310684 | + | 0.136119i | 0.988084 | − | 0.153918i | \(-0.0491893\pi\) |
−0.957015 | + | 0.290038i | \(0.906332\pi\) | |||||||
\(224\) | 0.542974 | + | 2.90218i | 0.0362790 | + | 0.193910i | ||||
\(225\) | 0.576217 | − | 2.52457i | 0.0384144 | − | 0.168305i | ||||
\(226\) | −0.170017 | + | 0.294478i | −0.0113094 | + | 0.0195884i | ||||
\(227\) | −1.07694 | − | 1.86531i | −0.0714788 | − | 0.123805i | 0.828071 | − | 0.560624i | \(-0.189438\pi\) |
−0.899550 | + | 0.436819i | \(0.856105\pi\) | |||||||
\(228\) | −6.86776 | + | 2.11842i | −0.454828 | + | 0.140296i | ||||
\(229\) | −0.312139 | + | 4.16521i | −0.0206268 | + | 0.275245i | 0.977348 | + | 0.211637i | \(0.0678796\pi\) |
−0.997975 | + | 0.0636075i | \(0.979739\pi\) | |||||||
\(230\) | −0.539559 | − | 0.676585i | −0.0355774 | − | 0.0446127i | ||||
\(231\) | −16.1874 | − | 3.09713i | −1.06505 | − | 0.203776i | ||||
\(232\) | −0.349046 | + | 0.437690i | −0.0229160 | + | 0.0287357i | ||||
\(233\) | −1.84071 | − | 1.70792i | −0.120589 | − | 0.111890i | 0.617574 | − | 0.786513i | \(-0.288116\pi\) |
−0.738162 | + | 0.674623i | \(0.764306\pi\) | |||||||
\(234\) | −0.542785 | − | 0.0818117i | −0.0354830 | − | 0.00534820i | ||||
\(235\) | 10.8947 | + | 7.42789i | 0.710693 | + | 0.484542i | ||||
\(236\) | 8.40176 | − | 1.26636i | 0.546908 | − | 0.0824331i | ||||
\(237\) | 8.78586 | + | 4.23105i | 0.570703 | + | 0.274836i | ||||
\(238\) | −0.690910 | + | 0.432158i | −0.0447850 | + | 0.0280127i | ||||
\(239\) | 3.43076 | − | 1.65217i | 0.221918 | − | 0.106870i | −0.319622 | − | 0.947545i | \(-0.603556\pi\) |
0.541540 | + | 0.840675i | \(0.317842\pi\) | |||||||
\(240\) | 9.13178 | − | 6.22594i | 0.589454 | − | 0.401883i | ||||
\(241\) | −4.12223 | + | 3.82487i | −0.265536 | + | 0.246381i | −0.801692 | − | 0.597738i | \(-0.796066\pi\) |
0.536156 | + | 0.844119i | \(0.319876\pi\) | |||||||
\(242\) | 0.146331 | + | 1.95265i | 0.00940651 | + | 0.125521i | ||||
\(243\) | −5.59586 | − | 14.2580i | −0.358975 | − | 0.914653i | ||||
\(244\) | 21.1446 | 1.35365 | ||||||||
\(245\) | 16.5764 | − | 6.42759i | 1.05902 | − | 0.410643i | ||||
\(246\) | 0.167673 | 0.0106905 | ||||||||
\(247\) | 3.93287 | + | 10.0208i | 0.250242 | + | 0.637607i | ||||
\(248\) | −0.192796 | − | 2.57268i | −0.0122425 | − | 0.163365i | ||||
\(249\) | 10.0987 | − | 9.37023i | 0.639979 | − | 0.593814i | ||||
\(250\) | 0.696699 | − | 0.475001i | 0.0440631 | − | 0.0300417i | ||||
\(251\) | 5.09948 | − | 2.45578i | 0.321876 | − | 0.155007i | −0.265967 | − | 0.963982i | \(-0.585691\pi\) |
0.587843 | + | 0.808975i | \(0.299977\pi\) | |||||||
\(252\) | 6.63551 | + | 6.66272i | 0.417998 | + | 0.419712i | ||||
\(253\) | −18.5452 | − | 8.93089i | −1.16593 | − | 0.561480i | ||||
\(254\) | 1.47007 | − | 0.221578i | 0.0922407 | − | 0.0139030i | ||||
\(255\) | 7.61720 | + | 5.19332i | 0.477008 | + | 0.325218i | ||||
\(256\) | −15.1336 | − | 2.28103i | −0.945853 | − | 0.142564i | ||||
\(257\) | −18.4375 | − | 17.1075i | −1.15010 | − | 1.06714i | −0.996879 | − | 0.0789477i | \(-0.974844\pi\) |
−0.153224 | − | 0.988192i | \(-0.548966\pi\) | |||||||
\(258\) | −0.135337 | + | 0.169708i | −0.00842573 | + | 0.0105655i | ||||
\(259\) | −7.08873 | + | 6.07514i | −0.440472 | + | 0.377491i | ||||
\(260\) | −10.3672 | − | 13.0000i | −0.642945 | − | 0.806227i | ||||
\(261\) | −0.200005 | + | 2.66889i | −0.0123800 | + | 0.165200i | ||||
\(262\) | 0.410058 | − | 0.126486i | 0.0253335 | − | 0.00781434i | ||||
\(263\) | 12.0898 | + | 20.9402i | 0.745490 | + | 1.29123i | 0.949965 | + | 0.312356i | \(0.101118\pi\) |
−0.204475 | + | 0.978872i | \(0.565549\pi\) | |||||||
\(264\) | −1.16283 | + | 2.01408i | −0.0715672 | + | 0.123958i | ||||
\(265\) | 2.00348 | − | 8.77782i | 0.123073 | − | 0.539217i | ||||
\(266\) | −0.211331 | + | 0.782293i | −0.0129576 | + | 0.0479655i | ||||
\(267\) | −4.28035 | − | 18.7535i | −0.261953 | − | 1.14769i | ||||
\(268\) | 1.24866 | + | 0.385162i | 0.0762743 | + | 0.0235275i | ||||
\(269\) | −9.74917 | + | 24.8405i | −0.594418 | + | 1.51455i | 0.244141 | + | 0.969740i | \(0.421494\pi\) |
−0.838559 | + | 0.544812i | \(0.816601\pi\) | |||||||
\(270\) | −0.457815 | + | 1.16649i | −0.0278618 | + | 0.0709906i | ||||
\(271\) | 19.5180 | + | 6.02049i | 1.18563 | + | 0.365719i | 0.823993 | − | 0.566600i | \(-0.191741\pi\) |
0.361638 | + | 0.932319i | \(0.382218\pi\) | |||||||
\(272\) | −2.89249 | − | 12.6728i | −0.175383 | − | 0.768403i | ||||
\(273\) | −6.26944 | + | 7.25515i | −0.379444 | + | 0.439101i | ||||
\(274\) | 0.214516 | − | 0.939855i | 0.0129594 | − | 0.0567787i | ||||
\(275\) | −4.09922 | + | 7.10006i | −0.247193 | + | 0.428150i | ||||
\(276\) | −3.99768 | − | 6.92418i | −0.240632 | − | 0.416786i | ||||
\(277\) | 15.6296 | − | 4.82111i | 0.939095 | − | 0.289672i | 0.212831 | − | 0.977089i | \(-0.431732\pi\) |
0.726263 | + | 0.687417i | \(0.241255\pi\) | |||||||
\(278\) | −0.0300802 | + | 0.401392i | −0.00180409 | + | 0.0240739i | ||||
\(279\) | −7.68996 | − | 9.64290i | −0.460386 | − | 0.577306i | ||||
\(280\) | −0.0886777 | − | 2.50724i | −0.00529951 | − | 0.149836i | ||||
\(281\) | −7.78664 | + | 9.76414i | −0.464512 | + | 0.582480i | −0.957818 | − | 0.287376i | \(-0.907217\pi\) |
0.493306 | + | 0.869856i | \(0.335788\pi\) | |||||||
\(282\) | −0.392422 | − | 0.364114i | −0.0233684 | − | 0.0216827i | ||||
\(283\) | −4.34306 | − | 0.654611i | −0.258168 | − | 0.0389126i | 0.0186828 | − | 0.999825i | \(-0.494053\pi\) |
−0.276851 | + | 0.960913i | \(0.589291\pi\) | |||||||
\(284\) | 1.72471 | + | 1.17588i | 0.102342 | + | 0.0697759i | ||||
\(285\) | 9.06472 | − | 1.36629i | 0.536948 | − | 0.0809318i | ||||
\(286\) | 1.56579 | + | 0.754043i | 0.0925869 | + | 0.0445875i | ||||
\(287\) | −2.29639 | + | 3.63814i | −0.135552 | + | 0.214753i | ||||
\(288\) | 1.79457 | − | 0.864221i | 0.105746 | − | 0.0509247i | ||||
\(289\) | −5.08733 | + | 3.46848i | −0.299254 | + | 0.204028i | ||||
\(290\) | 0.261147 | − | 0.242309i | 0.0153351 | − | 0.0142289i | ||||
\(291\) | 1.35614 | + | 18.0964i | 0.0794982 | + | 1.06083i | ||||
\(292\) | 3.95937 | + | 10.0883i | 0.231705 | + | 0.590374i | ||||
\(293\) | 7.63542 | 0.446066 | 0.223033 | − | 0.974811i | \(-0.428404\pi\) | ||||
0.223033 | + | 0.974811i | \(0.428404\pi\) | |||||||
\(294\) | −0.704349 | + | 0.157733i | −0.0410784 | + | 0.00919920i | ||||
\(295\) | −10.8375 | −0.630984 | ||||||||
\(296\) | 0.481297 | + | 1.22633i | 0.0279748 | + | 0.0712787i | ||||
\(297\) | 2.22741 | + | 29.7227i | 0.129247 | + | 1.72468i | ||||
\(298\) | 1.34272 | − | 1.24586i | 0.0777817 | − | 0.0721709i | ||||
\(299\) | −9.89470 | + | 6.74610i | −0.572226 | + | 0.390137i | ||||
\(300\) | −2.86918 | + | 1.38172i | −0.165652 | + | 0.0797739i | ||||
\(301\) | −1.82875 | − | 5.26078i | −0.105408 | − | 0.303226i | ||||
\(302\) | −0.518370 | − | 0.249634i | −0.0298288 | − | 0.0143648i | ||||
\(303\) | −11.0253 | + | 1.66180i | −0.633388 | + | 0.0954678i | ||||
\(304\) | −10.6795 | − | 7.28113i | −0.612509 | − | 0.417601i | ||||
\(305\) | −26.6688 | − | 4.01967i | −1.52705 | − | 0.230166i | ||||
\(306\) | 0.403008 | + | 0.373936i | 0.0230384 | + | 0.0213765i | ||||
\(307\) | 1.52247 | − | 1.90912i | 0.0868919 | − | 0.108959i | −0.736485 | − | 0.676454i | \(-0.763516\pi\) |
0.823377 | + | 0.567495i | \(0.192087\pi\) | |||||||
\(308\) | −13.8573 | − | 26.3496i | −0.789592 | − | 1.50141i | ||||
\(309\) | 5.75793 | + | 7.22022i | 0.327557 | + | 0.410744i | ||||
\(310\) | −0.122686 | + | 1.63713i | −0.00696810 | + | 0.0929828i | ||||
\(311\) | −4.84107 | + | 1.49327i | −0.274512 | + | 0.0846757i | −0.428955 | − | 0.903326i | \(-0.641118\pi\) |
0.154443 | + | 0.988002i | \(0.450642\pi\) | |||||||
\(312\) | 0.676538 | + | 1.17180i | 0.0383014 | + | 0.0663400i | ||||
\(313\) | 9.04913 | − | 15.6735i | 0.511487 | − | 0.885921i | −0.488424 | − | 0.872606i | \(-0.662428\pi\) |
0.999911 | − | 0.0133151i | \(-0.00423846\pi\) | |||||||
\(314\) | −0.117720 | + | 0.515766i | −0.00664334 | + | 0.0291064i | ||||
\(315\) | −7.10247 | − | 9.66483i | −0.400179 | − | 0.544552i | ||||
\(316\) | 3.91975 | + | 17.1736i | 0.220503 | + | 0.966088i | ||||
\(317\) | −28.8073 | − | 8.88587i | −1.61798 | − | 0.499080i | −0.652112 | − | 0.758122i | \(-0.726117\pi\) |
−0.965866 | + | 0.259042i | \(0.916593\pi\) | |||||||
\(318\) | −0.133543 | + | 0.340262i | −0.00748872 | + | 0.0190809i | ||||
\(319\) | 3.09572 | − | 7.88776i | 0.173327 | − | 0.441630i | ||||
\(320\) | 18.9082 | + | 5.83242i | 1.05700 | + | 0.326042i | ||||
\(321\) | 2.53455 | + | 11.1046i | 0.141465 | + | 0.619797i | ||||
\(322\) | −0.900769 | − | 0.0355501i | −0.0501979 | − | 0.00198113i | ||||
\(323\) | 2.39913 | − | 10.5113i | 0.133491 | − | 0.584864i | ||||
\(324\) | −0.457657 | + | 0.792685i | −0.0254254 | + | 0.0440381i | ||||
\(325\) | 2.38494 | + | 4.13084i | 0.132293 | + | 0.229138i | ||||
\(326\) | 0.891067 | − | 0.274858i | 0.0493516 | − | 0.0152230i | ||||
\(327\) | 0.705732 | − | 9.41734i | 0.0390271 | − | 0.520780i | ||||
\(328\) | 0.378521 | + | 0.474650i | 0.0209003 | + | 0.0262082i | ||||
\(329\) | 13.2750 | − | 3.52792i | 0.731872 | − | 0.194500i | ||||
\(330\) | 0.922728 | − | 1.15706i | 0.0507945 | − | 0.0636943i | ||||
\(331\) | −16.8423 | − | 15.6274i | −0.925736 | − | 0.858957i | 0.0645629 | − | 0.997914i | \(-0.479435\pi\) |
−0.990298 | + | 0.138957i | \(0.955625\pi\) | |||||||
\(332\) | 24.6074 | + | 3.70897i | 1.35051 | + | 0.203556i | ||||
\(333\) | 5.20372 | + | 3.54784i | 0.285162 | + | 0.194420i | ||||
\(334\) | −1.99310 | + | 0.300412i | −0.109058 | + | 0.0164378i | ||||
\(335\) | −1.50166 | − | 0.723163i | −0.0820447 | − | 0.0395106i | ||||
\(336\) | 1.31246 | − | 11.4380i | 0.0716007 | − | 0.623996i | ||||
\(337\) | −16.7856 | + | 8.08351i | −0.914369 | + | 0.440337i | −0.831057 | − | 0.556187i | \(-0.812264\pi\) |
−0.0833113 | + | 0.996524i | \(0.526550\pi\) | |||||||
\(338\) | −0.169316 | + | 0.115438i | −0.00920960 | + | 0.00627900i | ||||
\(339\) | 2.93742 | − | 2.72553i | 0.159539 | − | 0.148030i | ||||
\(340\) | 1.24451 | + | 16.6068i | 0.0674931 | + | 0.900633i | ||||
\(341\) | 14.2663 | + | 36.3498i | 0.772561 | + | 1.96845i | ||||
\(342\) | 0.546665 | 0.0295602 | ||||||||
\(343\) | 6.22404 | − | 17.4431i | 0.336066 | − | 0.941838i | ||||
\(344\) | −0.785932 | −0.0423746 | ||||||||
\(345\) | 3.72578 | + | 9.49313i | 0.200589 | + | 0.511093i | ||||
\(346\) | −0.0637955 | − | 0.851292i | −0.00342967 | − | 0.0457657i | ||||
\(347\) | 21.3146 | − | 19.7770i | 1.14423 | − | 1.06169i | 0.146861 | − | 0.989157i | \(-0.453083\pi\) |
0.997366 | − | 0.0725302i | \(-0.0231074\pi\) | |||||||
\(348\) | 2.71947 | − | 1.85411i | 0.145779 | − | 0.0993905i | ||||
\(349\) | −14.8838 | + | 7.16767i | −0.796713 | + | 0.383677i | −0.787526 | − | 0.616281i | \(-0.788639\pi\) |
−0.00918667 | + | 0.999958i | \(0.502924\pi\) | |||||||
\(350\) | −0.0409314 | + | 0.356715i | −0.00218788 | + | 0.0190672i | ||||
\(351\) | 15.6239 | + | 7.52408i | 0.833943 | + | 0.401606i | ||||
\(352\) | −6.23577 | + | 0.939891i | −0.332368 | + | 0.0500964i | ||||
\(353\) | 12.5671 | + | 8.56809i | 0.668878 | + | 0.456033i | 0.849549 | − | 0.527510i | \(-0.176874\pi\) |
−0.180671 | + | 0.983544i | \(0.557827\pi\) | |||||||
\(354\) | 0.435071 | + | 0.0655764i | 0.0231238 | + | 0.00348535i | ||||
\(355\) | −1.95176 | − | 1.81096i | −0.103588 | − | 0.0961160i | ||||
\(356\) | 21.6646 | − | 27.1666i | 1.14822 | − | 1.43983i | ||||
\(357\) | 9.28139 | − | 2.46660i | 0.491223 | − | 0.130546i | ||||
\(358\) | −0.281675 | − | 0.353209i | −0.0148870 | − | 0.0186677i | ||||
\(359\) | −0.847196 | + | 11.3050i | −0.0447133 | + | 0.596657i | 0.929177 | + | 0.369636i | \(0.120518\pi\) |
−0.973890 | + | 0.227021i | \(0.927101\pi\) | |||||||
\(360\) | −1.61729 | + | 0.498868i | −0.0852386 | + | 0.0262926i | ||||
\(361\) | 4.13962 | + | 7.17003i | 0.217875 | + | 0.377370i | ||||
\(362\) | 0.467290 | − | 0.809369i | 0.0245602 | − | 0.0425395i | ||||
\(363\) | 5.13477 | − | 22.4969i | 0.269506 | − | 1.18078i | ||||
\(364\) | −17.3075 | − | 0.683066i | −0.907161 | − | 0.0358024i | ||||
\(365\) | −3.07595 | − | 13.4766i | −0.161003 | − | 0.705399i | ||||
\(366\) | 1.04629 | + | 0.322738i | 0.0546906 | + | 0.0168698i | ||||
\(367\) | −4.25564 | + | 10.8432i | −0.222143 | + | 0.566010i | −0.997882 | − | 0.0650428i | \(-0.979282\pi\) |
0.775740 | + | 0.631053i | \(0.217377\pi\) | |||||||
\(368\) | 5.25325 | − | 13.3851i | 0.273845 | − | 0.697745i | ||||
\(369\) | 2.77343 | + | 0.855490i | 0.144379 | + | 0.0445351i | ||||
\(370\) | −0.186545 | − | 0.817308i | −0.00969802 | − | 0.0424898i | ||||
\(371\) | −5.55399 | − | 7.55770i | −0.288349 | − | 0.392376i | ||||
\(372\) | −3.37519 | + | 14.7877i | −0.174996 | + | 0.766706i | ||||
\(373\) | 5.43910 | − | 9.42080i | 0.281626 | − | 0.487791i | −0.690159 | − | 0.723657i | \(-0.742460\pi\) |
0.971785 | + | 0.235867i | \(0.0757929\pi\) | |||||||
\(374\) | −0.870293 | − | 1.50739i | −0.0450018 | − | 0.0779454i | ||||
\(375\) | −9.49539 | + | 2.92894i | −0.490340 | + | 0.151250i | ||||
\(376\) | 0.144847 | − | 1.93285i | 0.00746993 | − | 0.0996793i | ||||
\(377\) | −3.07375 | − | 3.85436i | −0.158306 | − | 0.198510i | ||||
\(378\) | 0.607596 | + | 1.15534i | 0.0312514 | + | 0.0594245i | ||||
\(379\) | 12.5156 | − | 15.6941i | 0.642883 | − | 0.806150i | −0.348477 | − | 0.937317i | \(-0.613301\pi\) |
0.991360 | + | 0.131167i | \(0.0418725\pi\) | |||||||
\(380\) | 12.1389 | + | 11.2633i | 0.622714 | + | 0.577794i | ||||
\(381\) | −17.3240 | − | 2.61118i | −0.887537 | − | 0.133775i | ||||
\(382\) | −0.106999 | − | 0.0729508i | −0.00547456 | − | 0.00373249i | ||||
\(383\) | −6.30041 | + | 0.949634i | −0.321936 | + | 0.0485240i | −0.308022 | − | 0.951379i | \(-0.599667\pi\) |
−0.0139137 | + | 0.999903i | \(0.504429\pi\) | |||||||
\(384\) | −2.94043 | − | 1.41604i | −0.150053 | − | 0.0722619i | ||||
\(385\) | 12.4684 | + | 35.8679i | 0.635449 | + | 1.82800i | ||||
\(386\) | 1.82804 | − | 0.880336i | 0.0930446 | − | 0.0448079i | ||||
\(387\) | −3.10444 | + | 2.11657i | −0.157808 | + | 0.107591i | ||||
\(388\) | −24.0302 | + | 22.2967i | −1.21995 | + | 1.13194i | ||||
\(389\) | 0.356516 | + | 4.75738i | 0.0180761 | + | 0.241209i | 0.998922 | + | 0.0464228i | \(0.0147821\pi\) |
−0.980846 | + | 0.194786i | \(0.937599\pi\) | |||||||
\(390\) | −0.314571 | − | 0.801514i | −0.0159289 | − | 0.0405862i | ||||
\(391\) | 11.9942 | 0.606571 | ||||||||
\(392\) | −2.03657 | − | 1.63779i | −0.102862 | − | 0.0827209i | ||||
\(393\) | −5.05698 | −0.255091 | ||||||||
\(394\) | 0.392695 | + | 1.00057i | 0.0197837 | + | 0.0504080i | ||||
\(395\) | −1.67905 | − | 22.4054i | −0.0844824 | − | 1.12734i | ||||
\(396\) | −14.7227 | + | 13.6607i | −0.739844 | + | 0.686475i | ||||
\(397\) | 18.6667 | − | 12.7267i | 0.936854 | − | 0.638736i | 0.00438652 | − | 0.999990i | \(-0.498604\pi\) |
0.932467 | + | 0.361254i | \(0.117651\pi\) | |||||||
\(398\) | 0.0193113 | − | 0.00929981i | 0.000967986 | − | 0.000466158i | ||||
\(399\) | 5.09710 | − | 8.07526i | 0.255174 | − | 0.404269i | ||||
\(400\) | −5.16000 | − | 2.48493i | −0.258000 | − | 0.124246i | ||||
\(401\) | 38.6861 | − | 5.83099i | 1.93189 | − | 0.291185i | 0.934065 | − | 0.357104i | \(-0.116236\pi\) |
0.997825 | + | 0.0659187i | \(0.0209978\pi\) | |||||||
\(402\) | 0.0559084 | + | 0.0381177i | 0.00278846 | + | 0.00190114i | ||||
\(403\) | 22.4652 | + | 3.38608i | 1.11907 | + | 0.168673i | ||||
\(404\) | −14.7644 | − | 13.6994i | −0.734558 | − | 0.681570i | ||||
\(405\) | 0.727915 | − | 0.912777i | 0.0361704 | − | 0.0453562i | ||||
\(406\) | −0.0131172 | − | 0.370870i | −0.000650994 | − | 0.0184060i | ||||
\(407\) | −12.4324 | − | 15.5897i | −0.616251 | − | 0.772754i | ||||
\(408\) | 0.101272 | − | 1.35138i | 0.00501372 | − | 0.0669035i | ||||
\(409\) | 24.8162 | − | 7.65480i | 1.22708 | − | 0.378505i | 0.387568 | − | 0.921841i | \(-0.373315\pi\) |
0.839516 | + | 0.543336i | \(0.182839\pi\) | |||||||
\(410\) | −0.193165 | − | 0.334572i | −0.00953974 | − | 0.0165233i | ||||
\(411\) | −5.68025 | + | 9.83849i | −0.280186 | + | 0.485297i | ||||
\(412\) | −3.71211 | + | 16.2638i | −0.182883 | + | 0.801262i | ||||
\(413\) | −7.38144 | + | 8.54198i | −0.363217 | + | 0.420323i | ||||
\(414\) | 0.135325 | + | 0.592898i | 0.00665086 | + | 0.0291393i | ||||
\(415\) | −30.3312 | − | 9.35593i | −1.48890 | − | 0.459265i | ||||
\(416\) | −1.34043 | + | 3.41535i | −0.0657197 | + | 0.167451i | ||||
\(417\) | 1.73298 | − | 4.41555i | 0.0848643 | − | 0.216231i | ||||
\(418\) | −1.65387 | − | 0.510152i | −0.0808935 | − | 0.0249523i | ||||
\(419\) | 8.82320 | + | 38.6570i | 0.431041 | + | 1.88852i | 0.458134 | + | 0.888883i | \(0.348518\pi\) |
−0.0270924 | + | 0.999633i | \(0.508625\pi\) | |||||||
\(420\) | −3.84674 | + | 14.2396i | −0.187702 | + | 0.694823i | ||||
\(421\) | 4.12186 | − | 18.0591i | 0.200887 | − | 0.880145i | −0.769511 | − | 0.638634i | \(-0.779500\pi\) |
0.970398 | − | 0.241511i | \(-0.0776430\pi\) | |||||||
\(422\) | −0.628462 | + | 1.08853i | −0.0305931 | + | 0.0529887i | ||||
\(423\) | −4.63317 | − | 8.02489i | −0.225272 | − | 0.390183i | ||||
\(424\) | −1.26469 | + | 0.390104i | −0.0614186 | + | 0.0189451i | ||||
\(425\) | 0.357006 | − | 4.76392i | 0.0173173 | − | 0.231084i | ||||
\(426\) | 0.0673951 | + | 0.0845108i | 0.00326530 | + | 0.00409456i | ||||
\(427\) | −21.3324 | + | 18.2822i | −1.03235 | + | 0.884735i | ||||
\(428\) | −12.8284 | + | 16.0863i | −0.620084 | + | 0.777560i | ||||
\(429\) | −15.0130 | − | 13.9300i | −0.724834 | − | 0.672548i | ||||
\(430\) | 0.494544 | + | 0.0745405i | 0.0238490 | + | 0.00359466i | ||||
\(431\) | −16.9587 | − | 11.5623i | −0.816872 | − | 0.556934i | 0.0812429 | − | 0.996694i | \(-0.474111\pi\) |
−0.898115 | + | 0.439760i | \(0.855063\pi\) | |||||||
\(432\) | −20.5890 | + | 3.10329i | −0.990587 | + | 0.149307i | ||||
\(433\) | −11.0650 | − | 5.32862i | −0.531750 | − | 0.256077i | 0.148687 | − | 0.988884i | \(-0.452495\pi\) |
−0.680436 | + | 0.732807i | \(0.738210\pi\) | |||||||
\(434\) | 1.20680 | + | 1.21175i | 0.0579284 | + | 0.0581659i | ||||
\(435\) | −3.78243 | + | 1.82152i | −0.181353 | + | 0.0873352i | ||||
\(436\) | 14.0949 | − | 9.60977i | 0.675025 | − | 0.460225i | ||||
\(437\) | 8.74273 | − | 8.11206i | 0.418221 | − | 0.388053i | ||||
\(438\) | 0.0419385 | + | 0.559630i | 0.00200390 | + | 0.0267402i | ||||
\(439\) | −9.32379 | − | 23.7566i | −0.445000 | − | 1.13384i | −0.960827 | − | 0.277149i | \(-0.910610\pi\) |
0.515826 | − | 0.856693i | \(-0.327485\pi\) | |||||||
\(440\) | 5.35847 | 0.255455 | ||||||||
\(441\) | −12.4552 | − | 0.984657i | −0.593104 | − | 0.0468884i | ||||
\(442\) | −1.01268 | −0.0481682 | ||||||||
\(443\) | 15.0627 | + | 38.3791i | 0.715651 | + | 1.82345i | 0.545668 | + | 0.838001i | \(0.316276\pi\) |
0.169982 | + | 0.985447i | \(0.445629\pi\) | |||||||
\(444\) | −0.578811 | − | 7.72370i | −0.0274692 | − | 0.366551i | ||||
\(445\) | −32.4891 | + | 30.1455i | −1.54013 | + | 1.42903i | ||||
\(446\) | −0.161142 | + | 0.109865i | −0.00763029 | + | 0.00520224i | ||||
\(447\) | −19.4478 | + | 9.36556i | −0.919849 | + | 0.442976i | ||||
\(448\) | 17.4754 | − | 10.9307i | 0.825637 | − | 0.516429i | ||||
\(449\) | 8.86197 | + | 4.26770i | 0.418222 | + | 0.201405i | 0.631147 | − | 0.775663i | \(-0.282585\pi\) |
−0.212925 | + | 0.977069i | \(0.568299\pi\) | |||||||
\(450\) | 0.239519 | − | 0.0361017i | 0.0112910 | − | 0.00170185i | ||||
\(451\) | −7.59235 | − | 5.17638i | −0.357510 | − | 0.243746i | ||||
\(452\) | 7.15759 | + | 1.07883i | 0.336665 | + | 0.0507440i | ||||
\(453\) | 4.97020 | + | 4.61167i | 0.233521 | + | 0.216675i | ||||
\(454\) | 0.125618 | − | 0.157520i | 0.00589555 | − | 0.00739279i | ||||
\(455\) | 21.6994 | + | 4.15175i | 1.01728 | + | 0.194637i | ||||
\(456\) | −0.840169 | − | 1.05354i | −0.0393445 | − | 0.0493364i | ||||
\(457\) | −1.17255 | + | 15.6466i | −0.0548497 | + | 0.731919i | 0.900201 | + | 0.435475i | \(0.143420\pi\) |
−0.955050 | + | 0.296443i | \(0.904199\pi\) | |||||||
\(458\) | −0.373353 | + | 0.115164i | −0.0174456 | + | 0.00538127i | ||||
\(459\) | −8.68405 | − | 15.0412i | −0.405337 | − | 0.702064i | ||||
\(460\) | −9.21090 | + | 15.9537i | −0.429460 | + | 0.743847i | ||||
\(461\) | 6.63324 | − | 29.0621i | 0.308941 | − | 1.35356i | −0.547280 | − | 0.836949i | \(-0.684337\pi\) |
0.856221 | − | 0.516609i | \(-0.172806\pi\) | |||||||
\(462\) | −0.283511 | − | 1.51536i | −0.0131901 | − | 0.0705009i | ||||
\(463\) | 4.24774 | + | 18.6106i | 0.197409 | + | 0.864907i | 0.972471 | + | 0.233022i | \(0.0748614\pi\) |
−0.775062 | + | 0.631885i | \(0.782281\pi\) | |||||||
\(464\) | 5.65634 | + | 1.74475i | 0.262589 | + | 0.0809980i | ||||
\(465\) | 7.06818 | − | 18.0094i | 0.327779 | − | 0.835167i | ||||
\(466\) | 0.0858126 | − | 0.218647i | 0.00397519 | − | 0.0101286i | ||||
\(467\) | −9.66302 | − | 2.98065i | −0.447151 | − | 0.137928i | 0.0629983 | − | 0.998014i | \(-0.479934\pi\) |
−0.510149 | + | 0.860086i | \(0.670410\pi\) | |||||||
\(468\) | 2.60016 | + | 11.3920i | 0.120192 | + | 0.526597i | ||||
\(469\) | −1.59277 | + | 0.691044i | −0.0735474 | + | 0.0319094i | ||||
\(470\) | −0.274463 | + | 1.20250i | −0.0126600 | + | 0.0554673i | ||||
\(471\) | 3.11716 | − | 5.39909i | 0.143631 | − | 0.248777i | ||||
\(472\) | 0.796534 | + | 1.37964i | 0.0366635 | + | 0.0635030i | ||||
\(473\) | 11.3673 | − | 3.50636i | 0.522671 | − | 0.161223i | ||||
\(474\) | −0.0681668 | + | 0.909623i | −0.00313100 | + | 0.0417804i | ||||
\(475\) | −2.96177 | − | 3.71395i | −0.135896 | − | 0.170408i | ||||
\(476\) | 13.9369 | + | 10.3300i | 0.638798 | + | 0.473476i | ||||
\(477\) | −3.94495 | + | 4.94681i | −0.180627 | + | 0.226499i | ||||
\(478\) | 0.261107 | + | 0.242272i | 0.0119428 | + | 0.0110813i | ||||
\(479\) | −4.58513 | − | 0.691097i | −0.209500 | − | 0.0315770i | 0.0434537 | − | 0.999055i | \(-0.486164\pi\) |
−0.252954 | + | 0.967478i | \(0.581402\pi\) | |||||||
\(480\) | 2.58149 | + | 1.76003i | 0.117829 | + | 0.0803341i | ||||
\(481\) | −11.4716 | + | 1.72906i | −0.523059 | + | 0.0788385i | ||||
\(482\) | −0.473925 | − | 0.228230i | −0.0215867 | − | 0.0103956i | ||||
\(483\) | 10.0200 | + | 3.52917i | 0.455925 | + | 0.160583i | ||||
\(484\) | 37.5555 | − | 18.0858i | 1.70707 | − | 0.822081i | ||||
\(485\) | 34.5469 | − | 23.5537i | 1.56869 | − | 1.06952i | ||||
\(486\) | 1.05028 | − | 0.974520i | 0.0476418 | − | 0.0442051i | ||||
\(487\) | −1.68298 | − | 22.4579i | −0.0762633 | − | 1.01766i | −0.895748 | − | 0.444562i | \(-0.853359\pi\) |
0.819485 | − | 0.573101i | \(-0.194260\pi\) | |||||||
\(488\) | 1.44839 | + | 3.69043i | 0.0655653 | + | 0.167058i | ||||
\(489\) | −10.9889 | −0.496937 | ||||||||
\(490\) | 1.12617 | + | 1.22373i | 0.0508752 | + | 0.0552824i | ||||
\(491\) | 0.710899 | 0.0320824 | 0.0160412 | − | 0.999871i | \(-0.494894\pi\) | ||||
0.0160412 | + | 0.999871i | \(0.494894\pi\) | |||||||
\(492\) | −1.30402 | − | 3.32260i | −0.0587899 | − | 0.149794i | ||||
\(493\) | 0.368984 | + | 4.92375i | 0.0166182 | + | 0.221754i | ||||
\(494\) | −0.738157 | + | 0.684909i | −0.0332112 | + | 0.0308155i | ||||
\(495\) | 21.1660 | − | 14.4308i | 0.951343 | − | 0.648615i | ||||
\(496\) | −24.5771 | + | 11.8357i | −1.10354 | + | 0.531438i | ||||
\(497\) | −2.75672 | + | 0.304897i | −0.123656 | + | 0.0136765i | ||||
\(498\) | 1.16103 | + | 0.559123i | 0.0520270 | + | 0.0250549i | ||||
\(499\) | 18.0977 | − | 2.72779i | 0.810163 | − | 0.122112i | 0.269119 | − | 0.963107i | \(-0.413267\pi\) |
0.541044 | + | 0.840994i | \(0.318029\pi\) | |||||||
\(500\) | −14.8309 | − | 10.1115i | −0.663259 | − | 0.452202i | ||||
\(501\) | 23.4876 | + | 3.54019i | 1.04935 | + | 0.158164i | ||||
\(502\) | 0.388109 | + | 0.360112i | 0.0173221 | + | 0.0160726i | ||||
\(503\) | −8.49686 | + | 10.6547i | −0.378856 | + | 0.475071i | −0.934302 | − | 0.356482i | \(-0.883976\pi\) |
0.555446 | + | 0.831553i | \(0.312548\pi\) | |||||||
\(504\) | −0.708337 | + | 1.61450i | −0.0315518 | + | 0.0719157i | ||||
\(505\) | 16.0174 | + | 20.0852i | 0.712766 | + | 0.893781i | ||||
\(506\) | 0.143886 | − | 1.92003i | 0.00639653 | − | 0.0853558i | ||||
\(507\) | 2.30763 | − | 0.711811i | 0.102486 | − | 0.0316126i | ||||
\(508\) | −15.8238 | − | 27.4076i | −0.702067 | − | 1.21601i | ||||
\(509\) | −17.2272 | + | 29.8385i | −0.763584 | + | 1.32257i | 0.177408 | + | 0.984137i | \(0.443229\pi\) |
−0.940992 | + | 0.338429i | \(0.890104\pi\) | |||||||
\(510\) | −0.191895 | + | 0.840747i | −0.00849725 | + | 0.0372289i | ||||
\(511\) | −12.7171 | − | 6.75452i | −0.562572 | − | 0.298802i | ||||
\(512\) | −1.63618 | − | 7.16859i | −0.0723097 | − | 0.316810i | ||||
\(513\) | −16.5028 | − | 5.09045i | −0.728618 | − | 0.224749i | ||||
\(514\) | 0.859547 | − | 2.19009i | 0.0379130 | − | 0.0966008i | ||||
\(515\) | 7.77374 | − | 19.8072i | 0.342552 | − | 0.872808i | ||||
\(516\) | 4.41545 | + | 1.36199i | 0.194379 | + | 0.0599581i | ||||
\(517\) | 6.52824 | + | 28.6021i | 0.287112 | + | 1.25792i | ||||
\(518\) | −0.771247 | − | 0.409637i | −0.0338866 | − | 0.0179984i | ||||
\(519\) | −2.23859 | + | 9.80791i | −0.0982633 | + | 0.430519i | ||||
\(520\) | 1.55879 | − | 2.69990i | 0.0683573 | − | 0.118398i | ||||
\(521\) | −10.4680 | − | 18.1311i | −0.458611 | − | 0.794337i | 0.540277 | − | 0.841487i | \(-0.318319\pi\) |
−0.998888 | + | 0.0471503i | \(0.984986\pi\) | |||||||
\(522\) | −0.239229 | + | 0.0737922i | −0.0104707 | + | 0.00322980i | ||||
\(523\) | 0.281796 | − | 3.76030i | 0.0123221 | − | 0.164426i | −0.987648 | − | 0.156689i | \(-0.949918\pi\) |
0.999970 | − | 0.00773753i | \(-0.00246296\pi\) | |||||||
\(524\) | −5.69552 | − | 7.14196i | −0.248810 | − | 0.311998i | ||||
\(525\) | 1.69998 | − | 3.87476i | 0.0741934 | − | 0.169108i | ||||
\(526\) | −1.41020 | + | 1.76834i | −0.0614879 | + | 0.0771033i | ||||
\(527\) | −16.6800 | − | 15.4767i | −0.726590 | − | 0.674177i | ||||
\(528\) | 24.3157 | + | 3.66500i | 1.05821 | + | 0.159499i | ||||
\(529\) | −8.04113 | − | 5.48235i | −0.349614 | − | 0.238363i | ||||
\(530\) | 0.832797 | − | 0.125524i | 0.0361744 | − | 0.00545241i | ||||
\(531\) | 6.86179 | + | 3.30447i | 0.297776 | + | 0.143402i | ||||
\(532\) | 17.1454 | − | 1.89630i | 0.743347 | − | 0.0822152i | ||||
\(533\) | −4.81678 | + | 2.31964i | −0.208638 | + | 0.100475i | ||||
\(534\) | 1.48668 | − | 1.01360i | 0.0643349 | − | 0.0438628i | ||||
\(535\) | 19.2379 | − | 17.8502i | 0.831729 | − | 0.771732i | ||||
\(536\) | 0.0183089 | + | 0.244316i | 0.000790826 | + | 0.0105528i | ||||
\(537\) | 1.94503 | + | 4.95586i | 0.0839343 | + | 0.213861i | ||||
\(538\) | −2.49616 | −0.107617 | ||||||||
\(539\) | 36.7628 | + | 14.6022i | 1.58349 | + | 0.628963i | ||||
\(540\) | 26.6756 | 1.14794 | ||||||||
\(541\) | 1.49596 | + | 3.81165i | 0.0643164 | + | 0.163875i | 0.959419 | − | 0.281985i | \(-0.0909929\pi\) |
−0.895102 | + | 0.445861i | \(0.852898\pi\) | |||||||
\(542\) | 0.142780 | + | 1.90527i | 0.00613295 | + | 0.0818385i | ||||
\(543\) | −8.07347 | + | 7.49109i | −0.346466 | + | 0.321473i | ||||
\(544\) | 3.03614 | − | 2.07001i | 0.130174 | − | 0.0887508i | ||||
\(545\) | −19.6042 | + | 9.44088i | −0.839751 | + | 0.404403i | ||||
\(546\) | −0.845997 | − | 0.297971i | −0.0362053 | − | 0.0127520i | ||||
\(547\) | 25.5326 | + | 12.2958i | 1.09169 | + | 0.525733i | 0.891038 | − | 0.453929i | \(-0.149978\pi\) |
0.200657 | + | 0.979662i | \(0.435692\pi\) | |||||||
\(548\) | −20.2924 | + | 3.05858i | −0.866848 | + | 0.130656i | ||||
\(549\) | 15.6597 | + | 10.6766i | 0.668342 | + | 0.455668i | ||||
\(550\) | −0.758327 | − | 0.114299i | −0.0323352 | − | 0.00487374i | ||||
\(551\) | 3.59906 | + | 3.33944i | 0.153325 | + | 0.142265i | ||||
\(552\) | 0.934658 | − | 1.17202i | 0.0397817 | − | 0.0498847i | ||||
\(553\) | −18.8032 | − | 13.9369i | −0.799595 | − | 0.592659i | ||||
\(554\) | 0.953933 | + | 1.19619i | 0.0405287 | + | 0.0508214i | ||||
\(555\) | −0.738275 | + | 9.85160i | −0.0313380 | + | 0.418177i | ||||
\(556\) | 8.18788 | − | 2.52563i | 0.347244 | − | 0.107110i | ||||
\(557\) | −3.59938 | − | 6.23430i | −0.152510 | − | 0.264156i | 0.779639 | − | 0.626229i | \(-0.215402\pi\) |
−0.932150 | + | 0.362073i | \(0.882069\pi\) | |||||||
\(558\) | 0.576856 | − | 0.999144i | 0.0244203 | − | 0.0422972i | ||||
\(559\) | 1.54007 | − | 6.74751i | 0.0651382 | − | 0.285389i | ||||
\(560\) | −24.3352 | + | 10.5581i | −1.02835 | + | 0.446162i | ||||
\(561\) | 4.56432 | + | 19.9976i | 0.192706 | + | 0.844298i | ||||
\(562\) | −1.11632 | − | 0.344338i | −0.0470890 | − | 0.0145250i | ||||
\(563\) | −11.2742 | + | 28.7261i | −0.475150 | + | 1.21066i | 0.469603 | + | 0.882878i | \(0.344397\pi\) |
−0.944753 | + | 0.327784i | \(0.893698\pi\) | |||||||
\(564\) | −4.16332 | + | 10.6080i | −0.175307 | + | 0.446676i | ||||
\(565\) | −8.82246 | − | 2.72137i | −0.371164 | − | 0.114489i | ||||
\(566\) | −0.0914214 | − | 0.400543i | −0.00384273 | − | 0.0168361i | ||||
\(567\) | −0.223654 | − | 1.19543i | −0.00939260 | − | 0.0502032i | ||||
\(568\) | −0.0870896 | + | 0.381565i | −0.00365420 | + | 0.0160101i | ||||
\(569\) | 10.9750 | − | 19.0093i | 0.460096 | − | 0.796909i | −0.538869 | − | 0.842389i | \(-0.681148\pi\) |
0.998965 | + | 0.0454799i | \(0.0144817\pi\) | |||||||
\(570\) | 0.428751 | + | 0.742619i | 0.0179584 | + | 0.0311049i | ||||
\(571\) | −27.7739 | + | 8.56711i | −1.16230 | + | 0.358523i | −0.815129 | − | 0.579279i | \(-0.803334\pi\) |
−0.347172 | + | 0.937801i | \(0.612858\pi\) | |||||||
\(572\) | 2.76466 | − | 36.8918i | 0.115596 | − | 1.54252i | ||||
\(573\) | 0.951511 | + | 1.19316i | 0.0397500 | + | 0.0498449i | ||||
\(574\) | −0.395270 | − | 0.0756270i | −0.0164982 | − | 0.00315661i | ||||
\(575\) | 3.29487 | − | 4.13164i | 0.137406 | − | 0.172301i | ||||
\(576\) | −10.1934 | − | 9.45811i | −0.424726 | − | 0.394088i | ||||
\(577\) | 7.33488 | + | 1.10556i | 0.305355 | + | 0.0460249i | 0.299933 | − | 0.953960i | \(-0.403036\pi\) |
0.00542264 | + | 0.999985i | \(0.498274\pi\) | |||||||
\(578\) | −0.475875 | − | 0.324446i | −0.0197938 | − | 0.0134952i | ||||
\(579\) | −23.6432 | + | 3.56364i | −0.982579 | + | 0.148100i | ||||
\(580\) | −6.83257 | − | 3.29039i | −0.283707 | − | 0.136626i | ||||
\(581\) | −28.0328 | + | 17.5343i | −1.16300 | + | 0.727445i | ||||
\(582\) | −1.52940 | + | 0.736520i | −0.0633957 | + | 0.0305297i | ||||
\(583\) | 16.5514 | − | 11.2846i | 0.685489 | − | 0.467359i | ||||
\(584\) | −1.48953 | + | 1.38208i | −0.0616371 | + | 0.0571908i | ||||
\(585\) | −1.11380 | − | 14.8626i | −0.0460498 | − | 0.614492i | ||||
\(586\) | 0.260936 | + | 0.664854i | 0.0107792 | + | 0.0274649i | ||||
\(587\) | 28.4715 | 1.17515 | 0.587573 | − | 0.809171i | \(-0.300084\pi\) | ||||
0.587573 | + | 0.809171i | \(0.300084\pi\) | |||||||
\(588\) | 8.60346 | + | 12.7306i | 0.354801 | + | 0.525000i | ||||
\(589\) | −22.6257 | −0.932277 | ||||||||
\(590\) | −0.370366 | − | 0.943677i | −0.0152477 | − | 0.0388506i | ||||
\(591\) | −0.946590 | − | 12.6314i | −0.0389375 | − | 0.519585i | ||||
\(592\) | 10.2110 | − | 9.47443i | 0.419670 | − | 0.389397i | ||||
\(593\) | −25.4898 | + | 17.3786i | −1.04674 | + | 0.713654i | −0.959264 | − | 0.282512i | \(-0.908832\pi\) |
−0.0874752 | + | 0.996167i | \(0.527880\pi\) | |||||||
\(594\) | −2.51198 | + | 1.20971i | −0.103068 | + | 0.0496349i | ||||
\(595\) | −15.6143 | − | 15.6783i | −0.640122 | − | 0.642747i | ||||
\(596\) | −35.1304 | − | 16.9179i | −1.43900 | − | 0.692985i | ||||
\(597\) | −0.249766 | + | 0.0376461i | −0.0102222 | + | 0.00154075i | ||||
\(598\) | −0.925562 | − | 0.631038i | −0.0378491 | − | 0.0258051i | ||||
\(599\) | −27.4618 | − | 4.13920i | −1.12206 | − | 0.169123i | −0.438298 | − | 0.898830i | \(-0.644419\pi\) |
−0.683761 | + | 0.729706i | \(0.739657\pi\) | |||||||
\(600\) | −0.437692 | − | 0.406119i | −0.0178687 | − | 0.0165797i | ||||
\(601\) | 11.9118 | − | 14.9370i | 0.485893 | − | 0.609291i | −0.477089 | − | 0.878855i | \(-0.658308\pi\) |
0.962983 | + | 0.269564i | \(0.0868795\pi\) | |||||||
\(602\) | 0.395586 | − | 0.339023i | 0.0161229 | − | 0.0138175i | ||||
\(603\) | 0.730282 | + | 0.915745i | 0.0297394 | + | 0.0372920i | ||||
\(604\) | −0.915268 | + | 12.2134i | −0.0372417 | + | 0.496956i | ||||
\(605\) | −50.8053 | + | 15.6714i | −2.06553 | + | 0.637131i | ||||
\(606\) | −0.521485 | − | 0.903238i | −0.0211839 | − | 0.0366915i | ||||
\(607\) | −9.93520 | + | 17.2083i | −0.403257 | + | 0.698462i | −0.994117 | − | 0.108312i | \(-0.965455\pi\) |
0.590860 | + | 0.806774i | \(0.298789\pi\) | |||||||
\(608\) | 0.813074 | − | 3.56231i | 0.0329745 | − | 0.144471i | ||||
\(609\) | −1.14052 | + | 4.22189i | −0.0462161 | + | 0.171080i | ||||
\(610\) | −0.561377 | − | 2.45955i | −0.0227295 | − | 0.0995844i | ||||
\(611\) | 16.3104 | + | 5.03110i | 0.659849 | + | 0.203536i | ||||
\(612\) | 4.27563 | − | 10.8941i | 0.172832 | − | 0.440369i | ||||
\(613\) | −15.6148 | + | 39.7858i | −0.630675 | + | 1.60693i | 0.154733 | + | 0.987956i | \(0.450548\pi\) |
−0.785408 | + | 0.618978i | \(0.787547\pi\) | |||||||
\(614\) | 0.218266 | + | 0.0673261i | 0.00880850 | + | 0.00271706i | ||||
\(615\) | 1.01307 | + | 4.43854i | 0.0408509 | + | 0.178979i | ||||
\(616\) | 3.64966 | − | 4.22347i | 0.147049 | − | 0.170169i | ||||
\(617\) | 4.49691 | − | 19.7023i | 0.181039 | − | 0.793183i | −0.800098 | − | 0.599869i | \(-0.795219\pi\) |
0.981137 | − | 0.193314i | \(-0.0619236\pi\) | |||||||
\(618\) | −0.431927 | + | 0.748119i | −0.0173746 | + | 0.0300938i | ||||
\(619\) | 7.86487 | + | 13.6224i | 0.316116 | + | 0.547529i | 0.979674 | − | 0.200596i | \(-0.0642878\pi\) |
−0.663558 | + | 0.748125i | \(0.730954\pi\) | |||||||
\(620\) | 33.3954 | − | 10.3011i | 1.34119 | − | 0.413702i | ||||
\(621\) | 1.43574 | − | 19.1587i | 0.0576144 | − | 0.768811i | ||||
\(622\) | −0.295468 | − | 0.370505i | −0.0118472 | − | 0.0148559i | ||||
\(623\) | 1.63189 | + | 46.1396i | 0.0653805 | + | 1.84854i | ||||
\(624\) | 8.92011 | − | 11.1855i | 0.357090 | − | 0.447777i | ||||
\(625\) | 22.1009 | + | 20.5067i | 0.884037 | + | 0.820266i | ||||
\(626\) | 1.67402 | + | 0.252318i | 0.0669074 | + | 0.0100847i | ||||
\(627\) | 16.8521 | + | 11.4895i | 0.673006 | + | 0.458848i | ||||
\(628\) | 11.1359 | − | 1.67847i | 0.444371 | − | 0.0669781i | ||||
\(629\) | 10.4685 | + | 5.04135i | 0.417406 | + | 0.201012i | ||||
\(630\) | 0.598843 | − | 0.948738i | 0.0238585 | − | 0.0377986i | ||||
\(631\) | −11.6397 | + | 5.60540i | −0.463370 | + | 0.223147i | −0.650978 | − | 0.759097i | \(-0.725641\pi\) |
0.187608 | + | 0.982244i | \(0.439927\pi\) | |||||||
\(632\) | −2.72885 | + | 1.86050i | −0.108548 | + | 0.0740066i | ||||
\(633\) | 10.8581 | − | 10.0748i | 0.431570 | − | 0.400439i | ||||
\(634\) | −0.210735 | − | 2.81207i | −0.00836936 | − | 0.111681i | ||||
\(635\) | 14.7475 | + | 37.5761i | 0.585239 | + | 1.49116i | ||||
\(636\) | 7.78118 | 0.308544 | ||||||||
\(637\) | 18.0518 | − | 14.2754i | 0.715238 | − | 0.565611i | ||||
\(638\) | 0.792622 | 0.0313802 | ||||||||
\(639\) | 0.683577 | + | 1.74173i | 0.0270419 | + | 0.0689016i | ||||
\(640\) | 0.561942 | + | 7.49860i | 0.0222127 | + | 0.296408i | ||||
\(641\) | 25.6693 | − | 23.8177i | 1.01388 | − | 0.940741i | 0.0156275 | − | 0.999878i | \(-0.495025\pi\) |
0.998250 | + | 0.0591371i | \(0.0188349\pi\) | |||||||
\(642\) | −0.880314 | + | 0.600188i | −0.0347432 | + | 0.0236875i | ||||
\(643\) | 23.8937 | − | 11.5066i | 0.942274 | − | 0.453775i | 0.101303 | − | 0.994856i | \(-0.467699\pi\) |
0.840971 | + | 0.541081i | \(0.181985\pi\) | |||||||
\(644\) | 6.30097 | + | 18.1260i | 0.248293 | + | 0.714265i | ||||
\(645\) | −5.31009 | − | 2.55721i | −0.209085 | − | 0.100690i | ||||
\(646\) | 0.997260 | − | 0.150313i | 0.0392367 | − | 0.00591397i | ||||
\(647\) | −29.1080 | − | 19.8455i | −1.14435 | − | 0.780206i | −0.165790 | − | 0.986161i | \(-0.553017\pi\) |
−0.978561 | + | 0.205955i | \(0.933970\pi\) | |||||||
\(648\) | −0.169699 | − | 0.0255779i | −0.00666639 | − | 0.00100480i | ||||
\(649\) | −17.6758 | − | 16.4008i | −0.693836 | − | 0.643786i | ||||
\(650\) | −0.278189 | + | 0.348838i | −0.0109115 | + | 0.0136825i | ||||
\(651\) | −9.38063 | − | 17.8373i | −0.367656 | − | 0.699098i | ||||
\(652\) | −12.3765 | − | 15.5197i | −0.484702 | − | 0.607797i | ||||
\(653\) | −1.12655 | + | 15.0328i | −0.0440854 | + | 0.588278i | 0.930794 | + | 0.365544i | \(0.119117\pi\) |
−0.974879 | + | 0.222734i | \(0.928502\pi\) | |||||||
\(654\) | 0.844133 | − | 0.260381i | 0.0330082 | − | 0.0101817i | ||||
\(655\) | 5.82580 | + | 10.0906i | 0.227633 | + | 0.394272i | ||||
\(656\) | 3.20959 | − | 5.55917i | 0.125313 | − | 0.217049i | ||||
\(657\) | −2.16161 | + | 9.47064i | −0.0843325 | + | 0.369485i | ||||
\(658\) | 0.760858 | + | 1.03535i | 0.0296613 | + | 0.0403622i | ||||
\(659\) | −1.07622 | − | 4.71525i | −0.0419238 | − | 0.183680i | 0.949631 | − | 0.313371i | \(-0.101458\pi\) |
−0.991554 | + | 0.129691i | \(0.958601\pi\) | |||||||
\(660\) | −30.1045 | − | 9.28600i | −1.17182 | − | 0.361457i | ||||
\(661\) | 4.13895 | − | 10.5459i | 0.160986 | − | 0.410186i | −0.827506 | − | 0.561457i | \(-0.810241\pi\) |
0.988492 | + | 0.151270i | \(0.0483364\pi\) | |||||||
\(662\) | 0.785177 | − | 2.00060i | 0.0305168 | − | 0.0777555i | ||||
\(663\) | 11.4037 | + | 3.51757i | 0.442882 | + | 0.136611i | ||||
\(664\) | 1.03825 | + | 4.54886i | 0.0402918 | + | 0.176530i | ||||
\(665\) | −21.9852 | − | 0.867678i | −0.852551 | − | 0.0336471i | ||||
\(666\) | −0.131094 | + | 0.574360i | −0.00507978 | + | 0.0222560i | ||||
\(667\) | −2.73093 | + | 4.73011i | −0.105742 | + | 0.183151i | ||||
\(668\) | 21.4536 | + | 37.1588i | 0.830066 | + | 1.43772i | ||||
\(669\) | 2.19622 | − | 0.677445i | 0.0849108 | − | 0.0261915i | ||||
\(670\) | 0.0116510 | − | 0.155471i | 0.000450116 | − | 0.00600638i | ||||
\(671\) | −37.4132 | − | 46.9147i | −1.44432 | − | 1.81112i | ||||
\(672\) | 3.14549 | − | 0.835938i | 0.121340 | − | 0.0322470i | ||||
\(673\) | 8.84130 | − | 11.0866i | 0.340807 | − | 0.427359i | −0.581661 | − | 0.813431i | \(-0.697597\pi\) |
0.922468 | + | 0.386072i | \(0.126169\pi\) | |||||||
\(674\) | −1.27751 | − | 1.18536i | −0.0492078 | − | 0.0456582i | ||||
\(675\) | −7.56683 | − | 1.14052i | −0.291247 | − | 0.0438985i | ||||
\(676\) | 3.60431 | + | 2.45738i | 0.138627 | + | 0.0945145i | ||||
\(677\) | 34.2479 | − | 5.16205i | 1.31626 | − | 0.198394i | 0.546891 | − | 0.837204i | \(-0.315811\pi\) |
0.769364 | + | 0.638810i | \(0.220573\pi\) | |||||||
\(678\) | 0.337710 | + | 0.162633i | 0.0129697 | + | 0.00624587i | ||||
\(679\) | 4.96524 | − | 43.2718i | 0.190548 | − | 1.66062i | ||||
\(680\) | −2.81319 | + | 1.35476i | −0.107881 | + | 0.0519527i | ||||
\(681\) | −1.96173 | + | 1.33748i | −0.0751735 | + | 0.0512524i | ||||
\(682\) | −2.67762 | + | 2.48447i | −0.102531 | + | 0.0951353i | ||||
\(683\) | 2.45242 | + | 32.7253i | 0.0938394 | + | 1.25220i | 0.823073 | + | 0.567935i | \(0.192258\pi\) |
−0.729234 | + | 0.684264i | \(0.760123\pi\) | |||||||
\(684\) | −4.25150 | − | 10.8326i | −0.162560 | − | 0.414197i | ||||
\(685\) | 26.1753 | 1.00011 | ||||||||
\(686\) | 1.73156 | − | 0.0541494i | 0.0661113 | − | 0.00206743i | ||||
\(687\) | 4.60432 | 0.175666 | ||||||||
\(688\) | 3.03600 | + | 7.73561i | 0.115746 | + | 0.294917i | ||||
\(689\) | −0.870965 | − | 11.6222i | −0.0331811 | − | 0.442771i | ||||
\(690\) | −0.699288 | + | 0.648845i | −0.0266215 | + | 0.0247011i | ||||
\(691\) | 42.5221 | − | 28.9911i | 1.61762 | − | 1.10287i | 0.693713 | − | 0.720251i | \(-0.255973\pi\) |
0.923905 | − | 0.382622i | \(-0.124979\pi\) | |||||||
\(692\) | −16.3730 | + | 7.88480i | −0.622406 | + | 0.299735i | ||||
\(693\) | 3.04208 | − | 26.5116i | 0.115559 | − | 1.00709i | ||||
\(694\) | 2.45050 | + | 1.18010i | 0.0930197 | + | 0.0447959i | ||||
\(695\) | −10.8071 | + | 1.62892i | −0.409938 | + | 0.0617883i | ||||
\(696\) | 0.509884 | + | 0.347633i | 0.0193271 | + | 0.0131770i | ||||
\(697\) | 5.29470 | + | 0.798047i | 0.200551 | + | 0.0302282i | ||||
\(698\) | −1.13277 | − | 1.05106i | −0.0428760 | − | 0.0397832i | ||||
\(699\) | −1.72580 | + | 2.16409i | −0.0652759 | + | 0.0818534i | ||||
\(700\) | 7.38695 | − | 1.96314i | 0.279201 | − | 0.0741996i | ||||
\(701\) | 7.22918 | + | 9.06511i | 0.273042 | + | 0.342384i | 0.899380 | − | 0.437168i | \(-0.144018\pi\) |
−0.626338 | + | 0.779552i | \(0.715447\pi\) | |||||||
\(702\) | −0.121221 | + | 1.61758i | −0.00457520 | + | 0.0610518i | ||||
\(703\) | 11.0403 | − | 3.40547i | 0.416392 | − | 0.128440i | ||||
\(704\) | 22.0126 | + | 38.1270i | 0.829633 | + | 1.43697i | ||||
\(705\) | 7.26763 | − | 12.5879i | 0.273715 | − | 0.474088i | ||||
\(706\) | −0.316594 | + | 1.38709i | −0.0119152 | + | 0.0522038i | ||||
\(707\) | 26.7404 | + | 1.05535i | 1.00568 | + | 0.0396904i | ||||
\(708\) | −2.08416 | − | 9.13132i | −0.0783277 | − | 0.343176i | ||||
\(709\) | −20.3719 | − | 6.28389i | −0.765081 | − | 0.235996i | −0.112435 | − | 0.993659i | \(-0.535865\pi\) |
−0.652646 | + | 0.757663i | \(0.726341\pi\) | |||||||
\(710\) | 0.0909897 | − | 0.231838i | 0.00341478 | − | 0.00870072i | ||||
\(711\) | −5.76854 | + | 14.6980i | −0.216337 | + | 0.551218i | ||||
\(712\) | 6.22547 | + | 1.92030i | 0.233309 | + | 0.0719664i | ||||
\(713\) | −5.60092 | − | 24.5393i | −0.209756 | − | 0.919002i | ||||
\(714\) | 0.531965 | + | 0.723882i | 0.0199083 | + | 0.0270906i | ||||
\(715\) | −10.5002 | + | 46.0044i | −0.392685 | + | 1.72047i | ||||
\(716\) | −4.80852 | + | 8.32860i | −0.179703 | + | 0.311255i | ||||
\(717\) | −2.09876 | − | 3.63516i | −0.0783797 | − | 0.135758i | ||||
\(718\) | −1.01334 | + | 0.312574i | −0.0378175 | + | 0.0116651i | ||||
\(719\) | −1.26414 | + | 16.8688i | −0.0471446 | + | 0.629101i | 0.922722 | + | 0.385465i | \(0.125959\pi\) |
−0.969867 | + | 0.243635i | \(0.921660\pi\) | |||||||
\(720\) | 11.1576 | + | 13.9912i | 0.415820 | + | 0.521422i | ||||
\(721\) | −10.3170 | − | 19.6178i | −0.384226 | − | 0.730606i | ||||
\(722\) | −0.482861 | + | 0.605489i | −0.0179702 | + | 0.0225340i | ||||
\(723\) | 4.54406 | + | 4.21628i | 0.168996 | + | 0.156805i | ||||
\(724\) | −19.6726 | − | 2.96516i | −0.731125 | − | 0.110199i | ||||
\(725\) | 1.79745 | + | 1.22548i | 0.0667556 | + | 0.0455132i | ||||
\(726\) | 2.13440 | − | 0.321709i | 0.0792149 | − | 0.0119397i | ||||
\(727\) | −4.28205 | − | 2.06213i | −0.158812 | − | 0.0764800i | 0.352789 | − | 0.935703i | \(-0.385233\pi\) |
−0.511602 | + | 0.859223i | \(0.670948\pi\) | |||||||
\(728\) | −1.06633 | − | 3.06752i | −0.0395209 | − | 0.113690i | ||||
\(729\) | −16.4546 | + | 7.92412i | −0.609430 | + | 0.293486i | ||||
\(730\) | 1.06836 | − | 0.728395i | 0.0395417 | − | 0.0269591i | ||||
\(731\) | −5.08134 | + | 4.71479i | −0.187940 | + | 0.174383i | ||||
\(732\) | −1.74184 | − | 23.2432i | −0.0643802 | − | 0.859094i | ||||
\(733\) | 6.28193 | + | 16.0061i | 0.232028 | + | 0.591198i | 0.998707 | − | 0.0508324i | \(-0.0161874\pi\) |
−0.766679 | + | 0.642031i | \(0.778092\pi\) | |||||||
\(734\) | −1.08961 | −0.0402181 | ||||||||
\(735\) | −8.43104 | − | 17.6921i | −0.310984 | − | 0.652582i | ||||
\(736\) | 4.06486 | 0.149833 | ||||||||
\(737\) | −1.35480 | − | 3.45198i | −0.0499049 | − | 0.127155i | ||||
\(738\) | 0.0202886 | + | 0.270733i | 0.000746834 | + | 0.00996580i | ||||
\(739\) | −2.39982 | + | 2.22671i | −0.0882788 | + | 0.0819107i | −0.723078 | − | 0.690766i | \(-0.757273\pi\) |
0.634799 | + | 0.772677i | \(0.281083\pi\) | |||||||
\(740\) | −14.7449 | + | 10.0529i | −0.542033 | + | 0.369552i | ||||
\(741\) | 10.6914 | − | 5.14869i | 0.392757 | − | 0.189142i | ||||
\(742\) | 0.468283 | − | 0.741894i | 0.0171912 | − | 0.0272358i | ||||
\(743\) | −17.5147 | − | 8.43461i | −0.642550 | − | 0.309436i | 0.0840857 | − | 0.996459i | \(-0.473203\pi\) |
−0.726636 | + | 0.687023i | \(0.758917\pi\) | |||||||
\(744\) | −2.81213 | + | 0.423861i | −0.103098 | + | 0.0155395i | ||||
\(745\) | 41.0923 | + | 28.0163i | 1.50551 | + | 1.02644i | ||||
\(746\) | 1.00620 | + | 0.151660i | 0.0368394 | + | 0.00555265i | ||||
\(747\) | 16.3515 | + | 15.1720i | 0.598271 | + | 0.555114i | ||||
\(748\) | −23.1019 | + | 28.9689i | −0.844689 | + | 1.05921i | ||||
\(749\) | −0.966302 | − | 27.3209i | −0.0353079 | − | 0.998283i | ||||
\(750\) | −0.579537 | − | 0.726717i | −0.0211617 | − | 0.0265359i | ||||
\(751\) | −1.71255 | + | 22.8523i | −0.0624917 | + | 0.833893i | 0.874608 | + | 0.484831i | \(0.161119\pi\) |
−0.937100 | + | 0.349062i | \(0.886500\pi\) | |||||||
\(752\) | −19.5838 | + | 6.04081i | −0.714149 | + | 0.220286i | ||||
\(753\) | −3.11959 | − | 5.40330i | −0.113684 | − | 0.196907i | ||||
\(754\) | 0.230575 | − | 0.399367i | 0.00839704 | − | 0.0145441i | ||||
\(755\) | 3.47620 | − | 15.2302i | 0.126512 | − | 0.554285i | ||||
\(756\) | 18.1688 | − | 21.0254i | 0.660793 | − | 0.764685i | ||||
\(757\) | −9.51048 | − | 41.6681i | −0.345664 | − | 1.51445i | −0.786910 | − | 0.617068i | \(-0.788320\pi\) |
0.441245 | − | 0.897386i | \(-0.354537\pi\) | |||||||
\(758\) | 1.79428 | + | 0.553461i | 0.0651710 | + | 0.0201026i | ||||
\(759\) | −8.28957 | + | 21.1215i | −0.300892 | + | 0.766661i | ||||
\(760\) | −1.13431 | + | 2.89016i | −0.0411456 | + | 0.104837i | ||||
\(761\) | 0.730491 | + | 0.225327i | 0.0264803 | + | 0.00816809i | 0.307967 | − | 0.951397i | \(-0.400351\pi\) |
−0.281487 | + | 0.959565i | \(0.590828\pi\) | |||||||
\(762\) | −0.364670 | − | 1.59773i | −0.0132106 | − | 0.0578795i | ||||
\(763\) | −5.91126 | + | 21.8819i | −0.214002 | + | 0.792179i | ||||
\(764\) | −0.613435 | + | 2.68764i | −0.0221933 | + | 0.0972353i | ||||
\(765\) | −7.46367 | + | 12.9275i | −0.269850 | + | 0.467393i | ||||
\(766\) | −0.298002 | − | 0.516155i | −0.0107673 | − | 0.0186494i | ||||
\(767\) | −13.4055 | + | 4.13506i | −0.484046 | + | 0.149308i | ||||
\(768\) | −1.26075 | + | 16.8236i | −0.0454935 | + | 0.607068i | ||||
\(769\) | −6.96075 | − | 8.72851i | −0.251011 | − | 0.314758i | 0.640322 | − | 0.768106i | \(-0.278801\pi\) |
−0.891333 | + | 0.453348i | \(0.850229\pi\) | |||||||
\(770\) | −2.69710 | + | 2.31145i | −0.0971967 | + | 0.0832990i | ||||
\(771\) | −17.2866 | + | 21.6767i | −0.622563 | + | 0.780669i | ||||
\(772\) | −31.6616 | − | 29.3777i | −1.13953 | − | 1.05733i | ||||
\(773\) | −25.6042 | − | 3.85922i | −0.920921 | − | 0.138806i | −0.328564 | − | 0.944482i | \(-0.606565\pi\) |
−0.592357 | + | 0.805675i | \(0.701803\pi\) | |||||||
\(774\) | −0.290393 | − | 0.197987i | −0.0104380 | − | 0.00711649i | ||||
\(775\) | −9.91337 | + | 1.49420i | −0.356099 | + | 0.0536732i | ||||
\(776\) | −5.53755 | − | 2.66674i | −0.198786 | − | 0.0957305i | ||||
\(777\) | 7.26205 | + | 7.29183i | 0.260525 | + | 0.261593i | ||||
\(778\) | −0.402065 | + | 0.193624i | −0.0144147 | + | 0.00694177i | ||||
\(779\) | 4.39913 | − | 2.99928i | 0.157615 | − | 0.107460i | ||||
\(780\) | −13.4362 | + | 12.4670i | −0.481095 | + | 0.446391i | ||||
\(781\) | −0.442691 | − | 5.90731i | −0.0158407 | − | 0.211380i | ||||
\(782\) | 0.409894 | + | 1.04439i | 0.0146578 | + | 0.0373474i | ||||
\(783\) | 7.90903 | 0.282646 | ||||||||
\(784\) | −8.25296 | + | 26.3718i | −0.294749 | + | 0.941851i | ||||
\(785\) | −14.3643 | −0.512684 | ||||||||
\(786\) | −0.172819 | − | 0.440336i | −0.00616426 | − | 0.0157063i | ||||
\(787\) | 0.591445 | + | 7.89229i | 0.0210827 | + | 0.281330i | 0.997774 | + | 0.0666820i | \(0.0212413\pi\) |
−0.976692 | + | 0.214648i | \(0.931140\pi\) | |||||||
\(788\) | 16.7731 | − | 15.5632i | 0.597518 | − | 0.554416i | ||||
\(789\) | 22.0226 | − | 15.0147i | 0.784024 | − | 0.534539i | ||||
\(790\) | 1.89357 | − | 0.911896i | 0.0673703 | − | 0.0324438i | ||||
\(791\) | −8.15393 | + | 5.10021i | −0.289920 | + | 0.181343i | ||||
\(792\) | −3.39273 | − | 1.63385i | −0.120555 | − | 0.0580564i | ||||
\(793\) | −34.5218 | + | 5.20333i | −1.22591 | + | 0.184776i | ||||
\(794\) | 1.74610 | + | 1.19047i | 0.0619669 | + | 0.0422483i | ||||
\(795\) | −9.81406 | − | 1.47923i | −0.348069 | − | 0.0524629i | ||||
\(796\) | −0.334471 | − | 0.310344i | −0.0118550 | − | 0.0109998i | ||||
\(797\) | 13.6199 | − | 17.0788i | 0.482440 | − | 0.604961i | −0.479728 | − | 0.877417i | \(-0.659265\pi\) |
0.962168 | + | 0.272456i | \(0.0878360\pi\) | |||||||
\(798\) | 0.877344 | + | 0.167863i | 0.0310577 | + | 0.00594227i | ||||
\(799\) | −10.6587 | − | 13.3655i | −0.377077 | − | 0.472839i | ||||
\(800\) | 0.120991 | − | 1.61451i | 0.00427766 | − | 0.0570814i | ||||
\(801\) | 29.7622 | − | 9.18043i | 1.05160 | − | 0.324375i | ||||
\(802\) | 1.82981 | + | 3.16932i | 0.0646127 | + | 0.111913i | ||||
\(803\) | 15.3778 | − | 26.6351i | 0.542670 | − | 0.939932i | ||||
\(804\) | 0.320527 | − | 1.40432i | 0.0113041 | − | 0.0495266i | ||||
\(805\) | −4.50131 | − | 24.0594i | −0.158650 | − | 0.847982i | ||||
\(806\) | 0.472891 | + | 2.07187i | 0.0166569 | + | 0.0729786i | ||||
\(807\) | 28.1090 | + | 8.67048i | 0.989484 | + | 0.305215i | ||||
\(808\) | 1.37964 | − | 3.51527i | 0.0485357 | − | 0.123667i | ||||
\(809\) | −0.464021 | + | 1.18231i | −0.0163141 | + | 0.0415677i | −0.938799 | − | 0.344466i | \(-0.888060\pi\) |
0.922485 | + | 0.386034i | \(0.126155\pi\) | |||||||
\(810\) | 0.104356 | + | 0.0321896i | 0.00366670 | + | 0.00113103i | ||||
\(811\) | 1.33915 | + | 5.86720i | 0.0470239 | + | 0.206025i | 0.992982 | − | 0.118263i | \(-0.0377325\pi\) |
−0.945958 | + | 0.324288i | \(0.894875\pi\) | |||||||
\(812\) | −7.24711 | + | 3.14425i | −0.254324 | + | 0.110341i | ||||
\(813\) | 5.01018 | − | 21.9511i | 0.175715 | − | 0.769857i | ||||
\(814\) | 0.932606 | − | 1.61532i | 0.0326878 | − | 0.0566170i | ||||
\(815\) | 12.6596 | + | 21.9271i | 0.443447 | + | 0.768073i | ||||
\(816\) | −13.6923 | + | 4.22352i | −0.479327 | + | 0.147853i | ||||
\(817\) | −0.515088 | + | 6.87337i | −0.0180206 | + | 0.240469i | ||||
\(818\) | 1.51462 | + | 1.89928i | 0.0529575 | + | 0.0664066i | ||||
\(819\) | −12.4731 | − | 9.24503i | −0.435845 | − | 0.323048i | ||||
\(820\) | −5.12756 | + | 6.42976i | −0.179062 | + | 0.224537i | ||||
\(821\) | 14.3601 | + | 13.3242i | 0.501171 | + | 0.465019i | 0.889784 | − | 0.456382i | \(-0.150855\pi\) |
−0.388612 | + | 0.921401i | \(0.627045\pi\) | |||||||
\(822\) | −1.05081 | − | 0.158384i | −0.0366511 | − | 0.00552426i | ||||
\(823\) | 3.54830 | + | 2.41919i | 0.123686 | + | 0.0843277i | 0.623583 | − | 0.781757i | \(-0.285676\pi\) |
−0.499897 | + | 0.866085i | \(0.666629\pi\) | |||||||
\(824\) | −3.09285 | + | 0.466172i | −0.107744 | + | 0.0162399i | ||||
\(825\) | 8.14243 | + | 3.92119i | 0.283483 | + | 0.136518i | ||||
\(826\) | −0.996049 | − | 0.350822i | −0.0346570 | − | 0.0122067i | ||||
\(827\) | −12.8900 | + | 6.20750i | −0.448230 | + | 0.215856i | −0.644361 | − | 0.764722i | \(-0.722876\pi\) |
0.196131 | + | 0.980578i | \(0.437162\pi\) | |||||||
\(828\) | 10.6964 | − | 7.29265i | 0.371724 | − | 0.253437i | ||||
\(829\) | −8.28997 | + | 7.69197i | −0.287922 | + | 0.267153i | −0.810889 | − | 0.585200i | \(-0.801016\pi\) |
0.522966 | + | 0.852353i | \(0.324825\pi\) | |||||||
\(830\) | −0.221883 | − | 2.96082i | −0.00770167 | − | 0.102772i | ||||
\(831\) | −6.58713 | − | 16.7837i | −0.228505 | − | 0.582221i | ||||
\(832\) | 25.6140 | 0.888007 | ||||||||
\(833\) | −22.9923 | + | 1.62845i | −0.796635 | + | 0.0564224i | ||||
\(834\) | 0.443708 | 0.0153644 | ||||||||
\(835\) | −19.9945 | − | 50.9451i | −0.691938 | − | 1.76303i | ||||
\(836\) | 2.75332 | + | 36.7405i | 0.0952255 | + | 1.27070i | ||||
\(837\) | −26.7181 | + | 24.7908i | −0.923514 | + | 0.856896i | ||||
\(838\) | −3.06453 | + | 2.08936i | −0.105862 | + | 0.0721757i | ||||
\(839\) | 28.1468 | − | 13.5548i | 0.971735 | − | 0.467963i | 0.120481 | − | 0.992716i | \(-0.461556\pi\) |
0.851255 | + | 0.524753i | \(0.175842\pi\) | |||||||
\(840\) | −2.74878 | + | 0.304019i | −0.0948420 | + | 0.0104897i | ||||
\(841\) | 24.1023 | + | 11.6071i | 0.831114 | + | 0.400244i | ||||
\(842\) | 1.71336 | − | 0.258247i | 0.0590461 | − | 0.00889977i | ||||
\(843\) | 11.3747 | + | 7.75512i | 0.391764 | + | 0.267100i | ||||
\(844\) | 26.4578 | + | 3.98788i | 0.910716 | + | 0.137268i | ||||
\(845\) | −4.07880 | − | 3.78457i | −0.140315 | − | 0.130193i | ||||
\(846\) | 0.540431 | − | 0.677680i | 0.0185804 | − | 0.0232991i | ||||
\(847\) | −22.2516 | + | 50.7178i | −0.764573 | + | 1.74268i | ||||
\(848\) | 8.72504 | + | 10.9408i | 0.299619 | + | 0.375710i | ||||
\(849\) | −0.361811 | + | 4.82803i | −0.0124173 | + | 0.165698i | ||||
\(850\) | 0.427019 | − | 0.131718i | 0.0146466 | − | 0.00451788i | ||||
\(851\) | 6.42647 | + | 11.1310i | 0.220297 | + | 0.381565i | ||||
\(852\) | 1.15051 | − | 1.99275i | 0.0394160 | − | 0.0682704i | ||||
\(853\) | −3.13610 | + | 13.7401i | −0.107378 | + | 0.470453i | 0.892436 | + | 0.451173i | \(0.148994\pi\) |
−0.999814 | + | 0.0192797i | \(0.993863\pi\) | |||||||
\(854\) | −2.32094 | − | 1.23273i | −0.0794210 | − | 0.0421833i | ||||
\(855\) | 3.30290 | + | 14.4710i | 0.112957 | + | 0.494897i | ||||
\(856\) | −3.68632 | − | 1.13708i | −0.125996 | − | 0.0388645i | ||||
\(857\) | 16.1839 | − | 41.2360i | 0.552832 | − | 1.40859i | −0.332264 | − | 0.943186i | \(-0.607813\pi\) |
0.885097 | − | 0.465407i | \(-0.154092\pi\) | |||||||
\(858\) | 0.699896 | − | 1.78331i | 0.0238941 | − | 0.0608811i | ||||
\(859\) | 37.3909 | + | 11.5336i | 1.27576 | + | 0.393520i | 0.857348 | − | 0.514737i | \(-0.172111\pi\) |
0.418412 | + | 0.908257i | \(0.362587\pi\) | |||||||
\(860\) | −2.36906 | − | 10.3795i | −0.0807844 | − | 0.353939i | ||||
\(861\) | 4.18840 | + | 2.22461i | 0.142740 | + | 0.0758145i | ||||
\(862\) | 0.427229 | − | 1.87181i | 0.0145515 | − | 0.0637542i | ||||
\(863\) | 14.1326 | − | 24.4784i | 0.481081 | − | 0.833256i | −0.518684 | − | 0.854966i | \(-0.673578\pi\) |
0.999764 | + | 0.0217102i | \(0.00691111\pi\) | |||||||
\(864\) | −2.94305 | − | 5.09752i | −0.100125 | − | 0.173421i | ||||
\(865\) | 22.1494 | − | 6.83219i | 0.753103 | − | 0.232301i | ||||
\(866\) | 0.0858499 | − | 1.14559i | 0.00291730 | − | 0.0389287i | ||||
\(867\) | 4.23181 | + | 5.30652i | 0.143720 | + | 0.180219i | ||||
\(868\) | 14.6264 | − | 33.3379i | 0.496453 | − | 1.13156i | ||||
\(869\) | 31.1683 | − | 39.0838i | 1.05731 | − | 1.32583i | ||||
\(870\) | −0.287871 | − | 0.267105i | −0.00975975 | − | 0.00905572i | ||||
\(871\) | −2.13342 | − | 0.321561i | −0.0722881 | − | 0.0108957i | ||||
\(872\) | 2.64271 | + | 1.80177i | 0.0894934 | + | 0.0610156i | ||||
\(873\) | −29.0552 | + | 4.37936i | −0.983368 | + | 0.148219i | ||||
\(874\) | 1.00514 | + | 0.484048i | 0.0339992 | + | 0.0163732i | ||||
\(875\) | 23.7053 | − | 2.62184i | 0.801385 | − | 0.0886344i | ||||
\(876\) | 10.7634 | − | 5.18338i | 0.363662 | − | 0.175130i | ||||
\(877\) | −26.9157 | + | 18.3508i | −0.908878 | + | 0.619662i | −0.924901 | − | 0.380209i | \(-0.875852\pi\) |
0.0160226 | + | 0.999872i | \(0.494900\pi\) | |||||||
\(878\) | 1.74998 | − | 1.62374i | 0.0590588 | − | 0.0547986i | ||||
\(879\) | −0.628986 | − | 8.39323i | −0.0212152 | − | 0.283097i | ||||
\(880\) | −20.6994 | − | 52.7412i | −0.697777 | − | 1.77791i | ||||
\(881\) | −17.4328 | −0.587327 | −0.293664 | − | 0.955909i | \(-0.594875\pi\) | ||||
−0.293664 | + | 0.955909i | \(0.594875\pi\) | |||||||
\(882\) | −0.339910 | − | 1.11819i | −0.0114454 | − | 0.0376513i | ||||
\(883\) | 9.99745 | 0.336441 | 0.168220 | − | 0.985749i | \(-0.446198\pi\) | ||||
0.168220 | + | 0.985749i | \(0.446198\pi\) | |||||||
\(884\) | 7.87576 | + | 20.0671i | 0.264891 | + | 0.674930i | ||||
\(885\) | 0.892766 | + | 11.9131i | 0.0300100 | + | 0.400456i | ||||
\(886\) | −2.82711 | + | 2.62317i | −0.0949785 | + | 0.0881272i | ||||
\(887\) | −40.1044 | + | 27.3427i | −1.34657 | + | 0.918079i | −0.999803 | − | 0.0198706i | \(-0.993675\pi\) |
−0.346772 | + | 0.937949i | \(0.612722\pi\) | |||||||
\(888\) | 1.30839 | − | 0.630088i | 0.0439067 | − | 0.0211444i | ||||
\(889\) | 39.6616 | + | 13.9693i | 1.33021 | + | 0.468516i | ||||
\(890\) | −3.73522 | − | 1.79879i | −0.125205 | − | 0.0602955i | ||||
\(891\) | 2.56855 | − | 0.387147i | 0.0860497 | − | 0.0129699i | ||||
\(892\) | 3.43029 | + | 2.33874i | 0.114855 | + | 0.0783066i | ||||
\(893\) | −16.8089 | − | 2.53353i | −0.562487 | − | 0.0847812i | ||||
\(894\) | −1.48012 | − | 1.37335i | −0.0495027 | − | 0.0459318i | ||||
\(895\) | 7.64807 | − | 9.59038i | 0.255647 | − | 0.320571i | ||||
\(896\) | 6.29303 | + | 4.66439i | 0.210235 | + | 0.155826i | ||||
\(897\) | 8.23074 | + | 10.3210i | 0.274817 | + | 0.344609i | ||||
\(898\) | −0.0687573 | + | 0.917502i | −0.00229446 | + | 0.0306175i | ||||
\(899\) | 9.90135 | − | 3.05416i | 0.330229 | − | 0.101862i | ||||
\(900\) | −2.57816 | − | 4.46551i | −0.0859388 | − | 0.148850i | ||||
\(901\) | −5.83644 | + | 10.1090i | −0.194440 | + | 0.336780i | ||||
\(902\) | 0.191269 | − | 0.838004i | 0.00636856 | − | 0.0279025i | ||||
\(903\) | −5.63226 | + | 2.44363i | −0.187430 | + | 0.0813188i | ||||
\(904\) | 0.301996 | + | 1.32313i | 0.0100442 | + | 0.0440067i | ||||
\(905\) | 24.2485 | + | 7.47966i | 0.806046 | + | 0.248632i | ||||
\(906\) | −0.231708 | + | 0.590382i | −0.00769798 | + | 0.0196141i | ||||
\(907\) | 14.4576 | − | 36.8373i | 0.480055 | − | 1.22316i | −0.461752 | − | 0.887009i | \(-0.652779\pi\) |
0.941808 | − | 0.336152i | \(-0.109126\pi\) | |||||||
\(908\) | −4.09836 | − | 1.26418i | −0.136009 | − | 0.0419531i | ||||
\(909\) | −4.01728 | − | 17.6009i | −0.133245 | − | 0.583784i | ||||
\(910\) | 0.380050 | + | 2.03136i | 0.0125985 | + | 0.0673388i | ||||
\(911\) | 6.46720 | − | 28.3346i | 0.214268 | − | 0.938769i | −0.747362 | − | 0.664417i | \(-0.768680\pi\) |
0.961630 | − | 0.274351i | \(-0.0884631\pi\) | |||||||
\(912\) | −7.12403 | + | 12.3392i | −0.235900 | + | 0.408591i | ||||
\(913\) | −35.3110 | − | 61.1605i | −1.16862 | − | 2.02412i | ||||
\(914\) | −1.40250 | + | 0.432615i | −0.0463907 | + | 0.0143096i | ||||
\(915\) | −2.22172 | + | 29.6468i | −0.0734477 | + | 0.980092i | ||||
\(916\) | 5.18571 | + | 6.50268i | 0.171341 | + | 0.214854i | ||||
\(917\) | 11.9212 | + | 2.28089i | 0.393673 | + | 0.0753216i | ||||
\(918\) | 1.01294 | − | 1.27019i | 0.0334321 | − | 0.0419225i | ||||
\(919\) | 21.2169 | + | 19.6864i | 0.699882 | + | 0.649396i | 0.947608 | − | 0.319434i | \(-0.103493\pi\) |
−0.247726 | + | 0.968830i | \(0.579683\pi\) | |||||||
\(920\) | −3.41539 | − | 0.514787i | −0.112602 | − | 0.0169720i | ||||
\(921\) | −2.22401 | − | 1.51631i | −0.0732837 | − | 0.0499640i | ||||
\(922\) | 2.75727 | − | 0.415592i | 0.0908060 | − | 0.0136868i | ||||
\(923\) | −3.10521 | − | 1.49539i | −0.102209 | − | 0.0492214i | ||||
\(924\) | −27.8233 | + | 17.4032i | −0.915319 | + | 0.572524i | ||||
\(925\) | 4.61236 | − | 2.22119i | 0.151653 | − | 0.0730324i | ||||
\(926\) | −1.47535 | + | 1.00588i | −0.0484831 | + | 0.0330552i | ||||
\(927\) | −10.9614 | + | 10.1707i | −0.360018 | + | 0.334048i | ||||
\(928\) | 0.125050 | + | 1.66867i | 0.00410496 | + | 0.0547769i | ||||
\(929\) | 10.2537 | + | 26.1260i | 0.336413 | + | 0.857167i | 0.994549 | + | 0.104268i | \(0.0332499\pi\) |
−0.658136 | + | 0.752899i | \(0.728655\pi\) | |||||||
\(930\) | 1.80972 | 0.0593431 | ||||||||
\(931\) | −15.6580 | + | 16.7375i | −0.513172 | + | 0.548548i | ||||
\(932\) | −5.00006 | −0.163782 | ||||||||
\(933\) | 2.04027 | + | 5.19853i | 0.0667956 | + | 0.170192i | ||||
\(934\) | −0.0706883 | − | 0.943270i | −0.00231299 | − | 0.0308647i | ||||
\(935\) | 34.6445 | − | 32.1454i | 1.13300 | − | 1.05127i | ||||
\(936\) | −1.81017 | + | 1.23416i | −0.0591674 | + | 0.0403397i | ||||
\(937\) | −25.3966 | + | 12.2303i | −0.829670 | + | 0.399548i | −0.799991 | − | 0.600011i | \(-0.795163\pi\) |
−0.0296786 | + | 0.999559i | \(0.509448\pi\) | |||||||
\(938\) | −0.114605 | − | 0.115075i | −0.00374198 | − | 0.00375732i | ||||
\(939\) | −17.9746 | − | 8.65610i | −0.586578 | − | 0.282481i | ||||
\(940\) | 25.9632 | − | 3.91332i | 0.846826 | − | 0.127638i | ||||
\(941\) | −29.8515 | − | 20.3524i | −0.973133 | − | 0.663471i | −0.0312849 | − | 0.999511i | \(-0.509960\pi\) |
−0.941848 | + | 0.336040i | \(0.890912\pi\) | |||||||
\(942\) | 0.576653 | + | 0.0869165i | 0.0187884 | + | 0.00283189i | ||||
\(943\) | 4.34193 | + | 4.02872i | 0.141393 | + | 0.131193i | ||||
\(944\) | 10.5023 | − | 13.1694i | 0.341819 | − | 0.428628i | ||||
\(945\) | −26.9125 | + | 23.0644i | −0.875464 | + | 0.750285i | ||||
\(946\) | 0.693789 | + | 0.869983i | 0.0225570 | + | 0.0282856i | ||||
\(947\) | 2.48039 | − | 33.0986i | 0.0806020 | − | 1.07556i | −0.799466 | − | 0.600711i | \(-0.794884\pi\) |
0.880068 | − | 0.474848i | \(-0.157497\pi\) | |||||||
\(948\) | 18.5551 | − | 5.72350i | 0.602643 | − | 0.185891i | ||||
\(949\) | −8.94684 | − | 15.4964i | −0.290427 | − | 0.503034i | ||||
\(950\) | 0.222175 | − | 0.384819i | 0.00720831 | − | 0.0124852i | ||||
\(951\) | −7.39472 | + | 32.3984i | −0.239790 | + | 1.05059i | ||||
\(952\) | −0.848263 | + | 3.14005i | −0.0274923 | + | 0.101769i | ||||
\(953\) | 10.0914 | + | 44.2133i | 0.326892 | + | 1.43221i | 0.825020 | + | 0.565104i | \(0.191164\pi\) |
−0.498127 | + | 0.867104i | \(0.665979\pi\) | |||||||
\(954\) | −0.565561 | − | 0.174452i | −0.0183107 | − | 0.00564810i | ||||
\(955\) | 1.28463 | − | 3.27318i | 0.0415696 | − | 0.105918i | ||||
\(956\) | 2.77016 | − | 7.05826i | 0.0895934 | − | 0.228280i | ||||
\(957\) | −8.92564 | − | 2.75320i | −0.288525 | − | 0.0889982i | ||||
\(958\) | −0.0965169 | − | 0.422868i | −0.00311832 | − | 0.0136622i | ||||
\(959\) | 17.8280 | − | 20.6310i | 0.575698 | − | 0.666211i | ||||
\(960\) | 4.85367 | − | 21.2653i | 0.156652 | − | 0.686336i | ||||
\(961\) | −8.37532 | + | 14.5065i | −0.270172 | + | 0.467951i | ||||
\(962\) | −0.542593 | − | 0.939799i | −0.0174939 | − | 0.0303003i | ||||
\(963\) | −17.6232 | + | 5.43605i | −0.567901 | + | 0.175174i | ||||
\(964\) | −0.836794 | + | 11.1662i | −0.0269513 | + | 0.359640i | ||||
\(965\) | 34.3486 | + | 43.0718i | 1.10572 | + | 1.38653i | ||||
\(966\) | 0.0351245 | + | 0.993098i | 0.00113011 | + | 0.0319524i | ||||
\(967\) | −34.3201 | + | 43.0360i | −1.10366 | + | 1.38394i | −0.187914 | + | 0.982186i | \(0.560173\pi\) |
−0.915745 | + | 0.401759i | \(0.868399\pi\) | |||||||
\(968\) | 5.72908 | + | 5.31580i | 0.184139 | + | 0.170856i | ||||
\(969\) | −11.7522 | − | 1.77135i | −0.377534 | − | 0.0569041i | ||||
\(970\) | 3.23155 | + | 2.20324i | 0.103759 | + | 0.0707417i | ||||
\(971\) | −11.7728 | + | 1.77446i | −0.377806 | + | 0.0569451i | −0.335201 | − | 0.942147i | \(-0.608804\pi\) |
−0.0426058 | + | 0.999092i | \(0.513566\pi\) | |||||||
\(972\) | −27.4792 | − | 13.2333i | −0.881396 | − | 0.424458i | ||||
\(973\) | −6.07687 | + | 9.62750i | −0.194815 | + | 0.308643i | ||||
\(974\) | 1.89800 | − | 0.914031i | 0.0608160 | − | 0.0292874i | ||||
\(975\) | 4.34436 | − | 2.96193i | 0.139131 | − | 0.0948578i | ||||
\(976\) | 30.7284 | − | 28.5117i | 0.983591 | − | 0.912639i | ||||
\(977\) | 2.96010 | + | 39.4998i | 0.0947019 | + | 1.26371i | 0.818827 | + | 0.574041i | \(0.194625\pi\) |
−0.724125 | + | 0.689669i | \(0.757756\pi\) | |||||||
\(978\) | −0.375541 | − | 0.956863i | −0.0120085 | − | 0.0305971i | ||||
\(979\) | −98.6094 | −3.15157 | ||||||||
\(980\) | 15.4909 | − | 31.8332i | 0.494837 | − | 1.01687i | ||||
\(981\) | 15.2910 | 0.488205 | ||||||||
\(982\) | 0.0242946 | + | 0.0619016i | 0.000775271 | + | 0.00197536i | ||||
\(983\) | −2.46497 | − | 32.8927i | −0.0786202 | − | 1.04911i | −0.887399 | − | 0.461001i | \(-0.847490\pi\) |
0.808779 | − | 0.588112i | \(-0.200129\pi\) | |||||||
\(984\) | 0.490577 | − | 0.455189i | 0.0156390 | − | 0.0145109i | ||||
\(985\) | −24.1138 | + | 16.4405i | −0.768331 | + | 0.523839i | ||||
\(986\) | −0.416126 | + | 0.200395i | −0.0132521 | + | 0.00638189i | ||||
\(987\) | −4.97162 | − | 14.3019i | −0.158248 | − | 0.455234i | ||||
\(988\) | 19.3129 | + | 9.30058i | 0.614424 | + | 0.295891i | ||||
\(989\) | −7.58218 | + | 1.14283i | −0.241099 | + | 0.0363399i | ||||
\(990\) | 1.97990 | + | 1.34987i | 0.0629253 | + | 0.0429017i | ||||
\(991\) | −24.2583 | − | 3.65636i | −0.770591 | − | 0.116148i | −0.248033 | − | 0.968752i | \(-0.579784\pi\) |
−0.522558 | + | 0.852604i | \(0.675022\pi\) | |||||||
\(992\) | −5.65289 | − | 5.24511i | −0.179479 | − | 0.166533i | ||||
\(993\) | −15.7909 | + | 19.8012i | −0.501110 | + | 0.628373i | ||||
\(994\) | −0.120758 | − | 0.229622i | −0.00383022 | − | 0.00728316i | ||||
\(995\) | 0.362856 | + | 0.455007i | 0.0115033 | + | 0.0144247i | ||||
\(996\) | 2.04999 | − | 27.3552i | 0.0649565 | − | 0.866784i | ||||
\(997\) | −26.5565 | + | 8.19159i | −0.841052 | + | 0.259430i | −0.685204 | − | 0.728351i | \(-0.740287\pi\) |
−0.155848 | + | 0.987781i | \(0.549811\pi\) | |||||||
\(998\) | 0.856000 | + | 1.48264i | 0.0270962 | + | 0.0469320i | ||||
\(999\) | 9.30583 | − | 16.1182i | 0.294424 | − | 0.509957i |
(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 | 49.2.g.a.16.3 | ✓ | 48 | |
3.2 | odd | 2 | 441.2.bb.d.163.2 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.65.3 | 48 | |||
7.2 | even | 3 | 343.2.e.d.295.4 | 48 | |||
7.3 | odd | 6 | 343.2.g.h.165.2 | 48 | |||
7.4 | even | 3 | 343.2.g.i.165.2 | 48 | |||
7.5 | odd | 6 | 343.2.e.c.295.4 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.226.3 | 48 | |||
49.3 | odd | 42 | 343.2.g.g.214.3 | 48 | |||
49.5 | odd | 42 | 343.2.e.c.50.4 | 48 | |||
49.8 | even | 7 | 343.2.g.i.79.2 | 48 | |||
49.12 | odd | 42 | 2401.2.a.i.1.12 | 24 | |||
49.37 | even | 21 | 2401.2.a.h.1.12 | 24 | |||
49.41 | odd | 14 | 343.2.g.h.79.2 | 48 | |||
49.44 | even | 21 | 343.2.e.d.50.4 | 48 | |||
49.46 | even | 21 | inner | 49.2.g.a.46.3 | yes | 48 | |
147.95 | odd | 42 | 441.2.bb.d.46.2 | 48 | |||
196.95 | odd | 42 | 784.2.bg.c.193.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.16.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
49.2.g.a.46.3 | yes | 48 | 49.46 | even | 21 | inner | |
343.2.e.c.50.4 | 48 | 49.5 | odd | 42 | |||
343.2.e.c.295.4 | 48 | 7.5 | odd | 6 | |||
343.2.e.d.50.4 | 48 | 49.44 | even | 21 | |||
343.2.e.d.295.4 | 48 | 7.2 | even | 3 | |||
343.2.g.g.214.3 | 48 | 49.3 | odd | 42 | |||
343.2.g.g.226.3 | 48 | 7.6 | odd | 2 | |||
343.2.g.h.79.2 | 48 | 49.41 | odd | 14 | |||
343.2.g.h.165.2 | 48 | 7.3 | odd | 6 | |||
343.2.g.i.79.2 | 48 | 49.8 | even | 7 | |||
343.2.g.i.165.2 | 48 | 7.4 | even | 3 | |||
441.2.bb.d.46.2 | 48 | 147.95 | odd | 42 | |||
441.2.bb.d.163.2 | 48 | 3.2 | odd | 2 | |||
784.2.bg.c.65.3 | 48 | 4.3 | odd | 2 | |||
784.2.bg.c.193.3 | 48 | 196.95 | odd | 42 | |||
2401.2.a.h.1.12 | 24 | 49.37 | even | 21 | |||
2401.2.a.i.1.12 | 24 | 49.12 | odd | 42 |