Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [845,2,Mod(64,845)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(845, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([13, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("845.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.v (of order \(26\), 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: | \(6.74735897080\) |
Analytic rank: | \(0\) |
Dimension: | \(1056\) |
Relative dimension: | \(88\) over \(\Q(\zeta_{26})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{26}]$ |
Embedding invariants
Embedding label | 389.43 | ||
Character | \(\chi\) | \(=\) | 845.389 |
Dual form | 845.2.v.a.454.43 |
$q$-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 \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{19}{26}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0655812 | − | 0.0580999i | −0.0463729 | − | 0.0410828i | 0.639618 | − | 0.768693i | \(-0.279093\pi\) |
−0.685991 | + | 0.727610i | \(0.740631\pi\) | |||||||
\(3\) | −0.0139291 | − | 0.00528261i | −0.00804196 | − | 0.00304991i | 0.350581 | − | 0.936533i | \(-0.385984\pi\) |
−0.358623 | + | 0.933483i | \(0.616753\pi\) | |||||||
\(4\) | −0.240148 | − | 1.97780i | −0.120074 | − | 0.988899i | ||||
\(5\) | −0.419064 | − | 2.19645i | −0.187411 | − | 0.982282i | ||||
\(6\) | 0.000606567 | 0.00115572i | 0.000247630 | 0.000471820i | ||||||
\(7\) | 2.84284 | − | 4.11857i | 1.07449 | − | 1.55667i | 0.269861 | − | 0.962899i | \(-0.413022\pi\) |
0.804632 | − | 0.593773i | \(-0.202362\pi\) | |||||||
\(8\) | −0.198703 | + | 0.287871i | −0.0702522 | + | 0.101778i | ||||
\(9\) | −2.24537 | − | 1.98922i | −0.748455 | − | 0.663074i | ||||
\(10\) | −0.100131 | + | 0.168393i | −0.0316641 | + | 0.0532506i | ||||
\(11\) | −0.433313 | − | 0.489109i | −0.130649 | − | 0.147472i | 0.679546 | − | 0.733633i | \(-0.262177\pi\) |
−0.810194 | + | 0.586161i | \(0.800638\pi\) | |||||||
\(12\) | −0.00710288 | + | 0.0288175i | −0.00205042 | + | 0.00831890i | ||||
\(13\) | 2.77555 | − | 2.30137i | 0.769800 | − | 0.638285i | ||||
\(14\) | −0.425725 | + | 0.104932i | −0.113780 | + | 0.0280442i | ||||
\(15\) | −0.00576580 | + | 0.0328083i | −0.00148872 | + | 0.00847106i | ||||
\(16\) | −3.83910 | + | 0.946254i | −0.959776 | + | 0.236564i | ||||
\(17\) | 2.82236 | + | 1.94813i | 0.684523 | + | 0.472492i | 0.858871 | − | 0.512192i | \(-0.171166\pi\) |
−0.174348 | + | 0.984684i | \(0.555782\pi\) | |||||||
\(18\) | 0.0316803 | + | 0.260911i | 0.00746712 | + | 0.0614973i | ||||
\(19\) | 5.04860i | 1.15823i | 0.815247 | + | 0.579114i | \(0.196601\pi\) | ||||
−0.815247 | + | 0.579114i | \(0.803399\pi\) | |||||||
\(20\) | −4.24349 | + | 1.35630i | −0.948874 | + | 0.303277i | ||||
\(21\) | −0.0613550 | + | 0.0423503i | −0.0133888 | + | 0.00924159i | ||||
\(22\) | 0.0572517i | 0.0122061i | ||||||||
\(23\) | 4.31530i | 0.899802i | 0.893078 | + | 0.449901i | \(0.148541\pi\) | ||||
−0.893078 | + | 0.449901i | \(0.851459\pi\) | |||||||
\(24\) | 0.00428846 | − | 0.00296011i | 0.000875379 | − | 0.000604231i | ||||
\(25\) | −4.64877 | + | 1.84090i | −0.929754 | + | 0.368181i | ||||
\(26\) | −0.315733 | − | 0.0103328i | −0.0619204 | − | 0.00202643i | ||||
\(27\) | 0.0415368 | + | 0.0791418i | 0.00799376 | + | 0.0152308i | ||||
\(28\) | −8.82840 | − | 4.63350i | −1.66841 | − | 0.875649i | ||||
\(29\) | −3.06966 | − | 2.71949i | −0.570022 | − | 0.504996i | 0.328158 | − | 0.944623i | \(-0.393572\pi\) |
−0.898180 | + | 0.439627i | \(0.855111\pi\) | |||||||
\(30\) | 0.00228428 | − | 0.00181661i | 0.000417051 | − | 0.000331667i | ||||
\(31\) | 2.55610 | + | 4.87024i | 0.459089 | + | 0.874721i | 0.999446 | + | 0.0332848i | \(0.0105969\pi\) |
−0.540357 | + | 0.841436i | \(0.681711\pi\) | |||||||
\(32\) | 0.926197 | + | 0.486106i | 0.163730 | + | 0.0859322i | ||||
\(33\) | 0.00345188 | + | 0.00910186i | 0.000600895 | + | 0.00158443i | ||||
\(34\) | −0.0719074 | − | 0.291740i | −0.0123320 | − | 0.0500330i | ||||
\(35\) | −10.2376 | − | 4.51821i | −1.73046 | − | 0.763718i | ||||
\(36\) | −3.39506 | + | 4.91859i | −0.565843 | + | 0.819764i | ||||
\(37\) | 5.59787 | − | 2.93799i | 0.920285 | − | 0.483003i | 0.0630974 | − | 0.998007i | \(-0.479902\pi\) |
0.857187 | + | 0.515005i | \(0.172210\pi\) | |||||||
\(38\) | 0.293323 | − | 0.331093i | 0.0475833 | − | 0.0537104i | ||||
\(39\) | −0.0508182 | + | 0.0173938i | −0.00813742 | + | 0.00278524i | ||||
\(40\) | 0.715564 | + | 0.315805i | 0.113141 | + | 0.0499331i | ||||
\(41\) | 6.62418 | + | 2.51222i | 1.03452 | + | 0.392343i | 0.812662 | − | 0.582736i | \(-0.198018\pi\) |
0.221861 | + | 0.975078i | \(0.428787\pi\) | |||||||
\(42\) | 0.00648428 | 0.000787334i | 0.00100055 | 0.000121488i | ||||||
\(43\) | 3.51711 | − | 6.70129i | 0.536354 | − | 1.02194i | −0.454971 | − | 0.890506i | \(-0.650350\pi\) |
0.991325 | − | 0.131431i | \(-0.0419573\pi\) | |||||||
\(44\) | −0.863299 | + | 0.974463i | −0.130147 | + | 0.146906i | ||||
\(45\) | −3.42827 | + | 5.76544i | −0.511056 | + | 0.859461i | ||||
\(46\) | 0.250718 | − | 0.283003i | 0.0369664 | − | 0.0417264i | ||||
\(47\) | −0.796867 | + | 6.56279i | −0.116235 | + | 0.957281i | 0.811580 | + | 0.584241i | \(0.198608\pi\) |
−0.927815 | + | 0.373040i | \(0.878315\pi\) | |||||||
\(48\) | 0.0584739 | + | 0.00710002i | 0.00843998 | + | 0.00102480i | ||||
\(49\) | −6.39862 | − | 16.8718i | −0.914088 | − | 2.41025i | ||||
\(50\) | 0.411828 | + | 0.149364i | 0.0582413 | + | 0.0211233i | ||||
\(51\) | −0.0290217 | − | 0.0420452i | −0.00406385 | − | 0.00588750i | ||||
\(52\) | −5.21819 | − | 4.93681i | −0.723632 | − | 0.684613i | ||||
\(53\) | 5.03725 | + | 3.47696i | 0.691919 | + | 0.477597i | 0.861394 | − | 0.507937i | \(-0.169592\pi\) |
−0.169475 | + | 0.985535i | \(0.554207\pi\) | |||||||
\(54\) | 0.00187409 | − | 0.00760349i | 0.000255032 | − | 0.00103470i | ||||
\(55\) | −0.892717 | + | 1.15672i | −0.120374 | + | 0.155972i | ||||
\(56\) | 0.620736 | + | 1.63675i | 0.0829493 | + | 0.218719i | ||||
\(57\) | 0.0266698 | − | 0.0703224i | 0.00353250 | − | 0.00931442i | ||||
\(58\) | 0.0433105 | + | 0.356694i | 0.00568695 | + | 0.0468362i | ||||
\(59\) | 0.418107 | − | 1.69633i | 0.0544330 | − | 0.220843i | −0.937426 | − | 0.348185i | \(-0.886798\pi\) |
0.991859 | + | 0.127341i | \(0.0406444\pi\) | |||||||
\(60\) | 0.0662728 | + | 0.00352473i | 0.00855578 | + | 0.000455041i | ||||
\(61\) | 4.09002 | + | 5.92542i | 0.523674 | + | 0.758673i | 0.992184 | − | 0.124786i | \(-0.0398243\pi\) |
−0.468510 | + | 0.883458i | \(0.655209\pi\) | |||||||
\(62\) | 0.115328 | − | 0.467905i | 0.0146467 | − | 0.0594240i | ||||
\(63\) | −14.5760 | + | 3.59265i | −1.83640 | + | 0.452632i | ||||
\(64\) | 2.77172 | + | 7.30842i | 0.346465 | + | 0.913552i | ||||
\(65\) | −6.21797 | − | 5.13194i | −0.771245 | − | 0.636539i | ||||
\(66\) | 0.000302438 | 0 | 0.000797464i | 3.72276e−5 | 0 | 9.81611e-5i | ||||
\(67\) | 1.04368 | − | 8.59549i | 0.127506 | − | 1.05011i | −0.778737 | − | 0.627350i | \(-0.784139\pi\) |
0.906243 | − | 0.422757i | \(-0.138937\pi\) | |||||||
\(68\) | 3.17523 | − | 6.04990i | 0.385053 | − | 0.733658i | ||||
\(69\) | 0.0227960 | − | 0.0601082i | 0.00274432 | − | 0.00723618i | ||||
\(70\) | 0.408883 | + | 0.891110i | 0.0488709 | + | 0.106508i | ||||
\(71\) | −12.7437 | − | 4.83307i | −1.51240 | − | 0.573579i | −0.547644 | − | 0.836711i | \(-0.684475\pi\) |
−0.964760 | + | 0.263132i | \(0.915245\pi\) | |||||||
\(72\) | 1.01880 | − | 0.251112i | 0.120067 | − | 0.0295938i | ||||
\(73\) | −1.78567 | + | 1.58196i | −0.208997 | + | 0.185155i | −0.761127 | − | 0.648603i | \(-0.775354\pi\) |
0.552130 | + | 0.833758i | \(0.313815\pi\) | |||||||
\(74\) | −0.537812 | − | 0.132559i | −0.0625194 | − | 0.0154096i | ||||
\(75\) | 0.0744779 | − | 0.00108448i | 0.00859997 | − | 0.000125225i | ||||
\(76\) | 9.98510 | − | 1.21241i | 1.14537 | − | 0.139073i | ||||
\(77\) | −3.24627 | + | 0.394168i | −0.369947 | + | 0.0449196i | ||||
\(78\) | 0.00434329 | + | 0.00181182i | 0.000491781 | + | 0.000205148i | ||||
\(79\) | 1.91003 | − | 15.7305i | 0.214895 | − | 1.76982i | −0.342445 | − | 0.939538i | \(-0.611255\pi\) |
0.557341 | − | 0.830284i | \(-0.311822\pi\) | |||||||
\(80\) | 3.68723 | + | 8.03585i | 0.412245 | + | 0.898436i | ||||
\(81\) | 1.08459 | + | 8.93240i | 0.120510 | + | 0.992489i | ||||
\(82\) | −0.288462 | − | 0.549618i | −0.0318553 | − | 0.0606952i | ||||
\(83\) | 3.26669 | + | 8.61355i | 0.358566 | + | 0.945460i | 0.985993 | + | 0.166785i | \(0.0533386\pi\) |
−0.627428 | + | 0.778675i | \(0.715892\pi\) | |||||||
\(84\) | 0.0984945 | + | 0.111177i | 0.0107466 | + | 0.0121304i | ||||
\(85\) | 3.09623 | − | 7.01556i | 0.335833 | − | 0.760945i | ||||
\(86\) | −0.620000 | + | 0.235135i | −0.0668564 | + | 0.0253553i | ||||
\(87\) | 0.0283916 | + | 0.0540958i | 0.00304390 | + | 0.00579968i | ||||
\(88\) | 0.226901 | − | 0.0275508i | 0.0241877 | − | 0.00293692i | ||||
\(89\) | − | 7.49264i | − | 0.794218i | −0.917771 | − | 0.397109i | \(-0.870013\pi\) | ||
0.917771 | − | 0.397109i | \(-0.129987\pi\) | |||||||
\(90\) | 0.559801 | − | 0.178923i | 0.0590082 | − | 0.0188601i | ||||
\(91\) | −1.58788 | − | 17.9737i | −0.166455 | − | 1.88416i | ||||
\(92\) | 8.53479 | − | 1.03631i | 0.889813 | − | 0.108043i | ||||
\(93\) | −0.00987657 | − | 0.0813408i | −0.00102415 | − | 0.00843465i | ||||
\(94\) | 0.433556 | − | 0.384098i | 0.0447179 | − | 0.0396166i | ||||
\(95\) | 11.0890 | − | 2.11568i | 1.13771 | − | 0.217065i | ||||
\(96\) | −0.0103332 | − | 0.0116637i | −0.00105463 | − | 0.00119043i | ||||
\(97\) | 1.97159 | − | 0.485952i | 0.200184 | − | 0.0493410i | −0.137949 | − | 0.990439i | \(-0.544051\pi\) |
0.338133 | + | 0.941098i | \(0.390205\pi\) | |||||||
\(98\) | −0.560619 | + | 1.47823i | −0.0566310 | + | 0.149324i | ||||
\(99\) | 1.96018i | 0.197006i | ||||||||
\(100\) | 4.75733 | + | 8.75224i | 0.475733 | + | 0.875224i | ||||
\(101\) | −14.0124 | − | 7.35429i | −1.39429 | − | 0.731779i | −0.410626 | − | 0.911804i | \(-0.634690\pi\) |
−0.983662 | + | 0.180025i | \(0.942382\pi\) | |||||||
\(102\) | −0.000539542 | 0.00444353i | −5.34226e−5 | 0.000439975i | ||||||
\(103\) | −2.29411 | − | 0.870042i | −0.226046 | − | 0.0857278i | 0.238982 | − | 0.971024i | \(-0.423186\pi\) |
−0.465028 | + | 0.885296i | \(0.653956\pi\) | |||||||
\(104\) | 0.110987 | + | 1.25629i | 0.0108831 | + | 0.123190i | ||||
\(105\) | 0.118732 | + | 0.117016i | 0.0115870 | + | 0.0114196i | ||||
\(106\) | −0.128338 | − | 0.520687i | −0.0124653 | − | 0.0505736i | ||||
\(107\) | −2.27699 | + | 9.23812i | −0.220125 | + | 0.893083i | 0.752103 | + | 0.659046i | \(0.229040\pi\) |
−0.972228 | + | 0.234037i | \(0.924806\pi\) | |||||||
\(108\) | 0.146551 | − | 0.101157i | 0.0141019 | − | 0.00973385i | ||||
\(109\) | −2.14127 | + | 4.07984i | −0.205096 | + | 0.390778i | −0.966177 | − | 0.257879i | \(-0.916977\pi\) |
0.761081 | + | 0.648657i | \(0.224669\pi\) | |||||||
\(110\) | 0.125750 | − | 0.0239921i | 0.0119898 | − | 0.00228756i | ||||
\(111\) | −0.0934935 | + | 0.0113522i | −0.00887401 | + | 0.00107750i | ||||
\(112\) | −7.01676 | + | 18.5017i | −0.663021 | + | 1.74824i | ||||
\(113\) | 10.8759 | − | 4.12468i | 1.02312 | − | 0.388017i | 0.214733 | − | 0.976673i | \(-0.431112\pi\) |
0.808384 | + | 0.588656i | \(0.200343\pi\) | |||||||
\(114\) | −0.00583475 | + | 0.00306232i | −0.000546475 | + | 0.000286812i | ||||
\(115\) | 9.47833 | − | 1.80839i | 0.883859 | − | 0.168633i | ||||
\(116\) | −4.64142 | + | 6.72425i | −0.430945 | + | 0.624331i | ||||
\(117\) | −10.8101 | − | 0.353773i | −0.999391 | − | 0.0327064i | ||||
\(118\) | −0.125976 | + | 0.0869553i | −0.0115971 | + | 0.00800488i | ||||
\(119\) | 16.0471 | − | 6.08584i | 1.47103 | − | 0.557888i | ||||
\(120\) | −0.00829888 | − | 0.00817891i | −0.000757580 | − | 0.000746629i | ||||
\(121\) | 1.27444 | − | 10.4959i | 0.115858 | − | 0.954175i | ||||
\(122\) | 0.0760376 | − | 0.626226i | 0.00688412 | − | 0.0566959i | ||||
\(123\) | −0.0789977 | − | 0.0699858i | −0.00712298 | − | 0.00631041i | ||||
\(124\) | 9.01850 | − | 6.22502i | 0.809885 | − | 0.559024i | ||||
\(125\) | 5.99158 | + | 9.43933i | 0.535903 | + | 0.844279i | ||||
\(126\) | 1.16464 | + | 0.611251i | 0.103755 | + | 0.0544546i | ||||
\(127\) | −8.77195 | − | 1.06511i | −0.778384 | − | 0.0945130i | −0.278305 | − | 0.960493i | \(-0.589773\pi\) |
−0.500079 | + | 0.865980i | \(0.666696\pi\) | |||||||
\(128\) | 0.984687 | − | 2.59641i | 0.0870349 | − | 0.229492i | ||||
\(129\) | −0.0843904 | + | 0.0747634i | −0.00743016 | + | 0.00658255i | ||||
\(130\) | 0.109617 | + | 0.697822i | 0.00961404 | + | 0.0612031i | ||||
\(131\) | 12.6995 | + | 11.2508i | 1.10956 | + | 0.982985i | 0.999940 | − | 0.0109883i | \(-0.00349776\pi\) |
0.109621 | + | 0.993973i | \(0.465036\pi\) | |||||||
\(132\) | 0.0171727 | − | 0.00901291i | 0.00149469 | − | 0.000784473i | ||||
\(133\) | 20.7930 | + | 14.3524i | 1.80298 | + | 1.24451i | ||||
\(134\) | −0.567843 | + | 0.503065i | −0.0490542 | + | 0.0434582i | ||||
\(135\) | 0.156424 | − | 0.124399i | 0.0134629 | − | 0.0107066i | ||||
\(136\) | −1.12162 | + | 0.425376i | −0.0961785 | + | 0.0364757i | ||||
\(137\) | −5.06637 | − | 2.65904i | −0.432850 | − | 0.227177i | 0.234203 | − | 0.972188i | \(-0.424752\pi\) |
−0.667052 | + | 0.745011i | \(0.732444\pi\) | |||||||
\(138\) | −0.00498727 | + | 0.00261752i | −0.000424545 | + | 0.000222818i | ||||
\(139\) | −3.14565 | + | 0.775334i | −0.266811 | + | 0.0657630i | −0.370451 | − | 0.928852i | \(-0.620797\pi\) |
0.103641 | + | 0.994615i | \(0.466951\pi\) | |||||||
\(140\) | −6.47758 | + | 21.3328i | −0.547456 | + | 1.80295i | ||||
\(141\) | 0.0457682 | − | 0.0872041i | 0.00385438 | − | 0.00734391i | ||||
\(142\) | 0.554950 | + | 1.05737i | 0.0465703 | + | 0.0887324i | ||||
\(143\) | −2.32830 | − | 0.360336i | −0.194702 | − | 0.0301328i | ||||
\(144\) | 10.5025 | + | 5.51214i | 0.875209 | + | 0.459345i | ||||
\(145\) | −4.68682 | + | 7.88200i | −0.389220 | + | 0.654564i | ||||
\(146\) | 0.209018 | 0.0172985 | ||||||||
\(147\) | 0.268810i | 0.0221711i | ||||||||
\(148\) | −7.15507 | − | 10.3659i | −0.588143 | − | 0.852072i | ||||
\(149\) | 2.20139 | + | 0.267297i | 0.180345 | + | 0.0218979i | 0.210211 | − | 0.977656i | \(-0.432585\pi\) |
−0.0298658 | + | 0.999554i | \(0.509508\pi\) | |||||||
\(150\) | −0.00494736 | − | 0.00425603i | −0.000403950 | − | 0.000347504i | ||||
\(151\) | −11.9720 | + | 1.45366i | −0.974267 | + | 0.118297i | −0.592160 | − | 0.805821i | \(-0.701724\pi\) |
−0.382107 | + | 0.924118i | \(0.624801\pi\) | |||||||
\(152\) | −1.45335 | − | 1.00317i | −0.117882 | − | 0.0813680i | ||||
\(153\) | −2.46196 | − | 9.98857i | −0.199038 | − | 0.807528i | ||||
\(154\) | 0.235795 | + | 0.162758i | 0.0190009 | + | 0.0131154i | ||||
\(155\) | 9.62606 | − | 7.65528i | 0.773184 | − | 0.614887i | ||||
\(156\) | 0.0466053 | + | 0.0963309i | 0.00373141 | + | 0.00771265i | ||||
\(157\) | −3.55386 | + | 14.4186i | −0.283629 | + | 1.15073i | 0.640288 | + | 0.768135i | \(0.278815\pi\) |
−0.923917 | + | 0.382593i | \(0.875031\pi\) | |||||||
\(158\) | −1.03920 | + | 0.920654i | −0.0826746 | + | 0.0732433i | ||||
\(159\) | −0.0517969 | − | 0.0750407i | −0.00410776 | − | 0.00595111i | ||||
\(160\) | 0.679571 | − | 2.23805i | 0.0537248 | − | 0.176934i | ||||
\(161\) | 17.7729 | + | 12.2677i | 1.40070 | + | 0.966832i | ||||
\(162\) | 0.447842 | − | 0.648812i | 0.0351858 | − | 0.0509755i | ||||
\(163\) | 10.2661 | − | 5.38807i | 0.804104 | − | 0.422026i | −0.0120023 | − | 0.999928i | \(-0.503821\pi\) |
0.816107 | + | 0.577902i | \(0.196128\pi\) | |||||||
\(164\) | 3.37788 | − | 13.7046i | 0.263768 | − | 1.07015i | ||||
\(165\) | 0.0185452 | − | 0.0113961i | 0.00144374 | − | 0.000887188i | ||||
\(166\) | 0.286213 | − | 0.754681i | 0.0222144 | − | 0.0585746i | ||||
\(167\) | −2.35378 | − | 2.08527i | −0.182141 | − | 0.161363i | 0.567126 | − | 0.823631i | \(-0.308055\pi\) |
−0.749267 | + | 0.662268i | \(0.769594\pi\) | |||||||
\(168\) | − | 0.0260775i | − | 0.00201192i | ||||||
\(169\) | 2.40740 | − | 12.7751i | 0.185185 | − | 0.982704i | ||||
\(170\) | −0.610658 | + | 0.280198i | −0.0468353 | + | 0.0214902i | ||||
\(171\) | 10.0428 | − | 11.3360i | 0.767990 | − | 0.866882i | ||||
\(172\) | −14.0984 | − | 5.34683i | −1.07499 | − | 0.407692i | ||||
\(173\) | −8.26143 | + | 1.00312i | −0.628105 | + | 0.0762657i | −0.428398 | − | 0.903590i | \(-0.640922\pi\) |
−0.199706 | + | 0.979856i | \(0.563999\pi\) | |||||||
\(174\) | 0.00128100 | − | 0.00519722i | 9.71123e−5 | − | 0.000394000i | ||||
\(175\) | −5.63384 | + | 24.3797i | −0.425878 | + | 1.84293i | ||||
\(176\) | 2.12635 | + | 1.46772i | 0.160280 | + | 0.110633i | ||||
\(177\) | −0.0147849 | + | 0.0214196i | −0.00111130 | + | 0.00161000i | ||||
\(178\) | −0.435321 | + | 0.491376i | −0.0326287 | + | 0.0368302i | ||||
\(179\) | 10.1152 | + | 14.6544i | 0.756044 | + | 1.09532i | 0.992328 | + | 0.123634i | \(0.0394550\pi\) |
−0.236284 | + | 0.971684i | \(0.575930\pi\) | |||||||
\(180\) | 12.2262 | + | 5.39586i | 0.911285 | + | 0.402184i | ||||
\(181\) | −3.54918 | − | 0.874795i | −0.263809 | − | 0.0650230i | 0.105193 | − | 0.994452i | \(-0.466454\pi\) |
−0.369001 | + | 0.929429i | \(0.620300\pi\) | |||||||
\(182\) | −0.940137 | + | 1.27100i | −0.0696876 | + | 0.0942124i | ||||
\(183\) | −0.0256686 | − | 0.104142i | −0.00189748 | − | 0.00769838i | ||||
\(184\) | −1.24225 | − | 0.857464i | −0.0915800 | − | 0.0632131i | ||||
\(185\) | −8.79901 | − | 11.0642i | −0.646916 | − | 0.813459i | ||||
\(186\) | −0.00407817 | + | 0.00590826i | −0.000299026 | + | 0.000433214i | ||||
\(187\) | −0.270114 | − | 2.22459i | −0.0197527 | − | 0.162678i | ||||
\(188\) | 13.1712 | 0.960610 | ||||||||
\(189\) | 0.444033 | + | 0.0539154i | 0.0322987 | + | 0.00392177i | ||||
\(190\) | −0.850150 | − | 0.505519i | −0.0616763 | − | 0.0366742i | ||||
\(191\) | 9.64306 | 0.697747 | 0.348874 | − | 0.937170i | \(-0.386564\pi\) | ||||
0.348874 | + | 0.937170i | \(0.386564\pi\) | |||||||
\(192\) | − | 0.116441i | − | 0.00840344i | ||||||
\(193\) | 6.11284 | + | 8.85597i | 0.440011 | + | 0.637467i | 0.978762 | − | 0.204998i | \(-0.0657189\pi\) |
−0.538751 | + | 0.842465i | \(0.681104\pi\) | |||||||
\(194\) | −0.157533 | − | 0.0826795i | −0.0113102 | − | 0.00593605i | ||||
\(195\) | 0.0595007 | + | 0.104330i | 0.00426093 | + | 0.00747125i | ||||
\(196\) | −31.8323 | + | 16.7069i | −2.27374 | + | 1.19335i | ||||
\(197\) | −22.2917 | − | 11.6996i | −1.58822 | − | 0.833560i | −0.999685 | − | 0.0250845i | \(-0.992015\pi\) |
−0.588530 | − | 0.808475i | \(-0.700293\pi\) | |||||||
\(198\) | 0.113886 | − | 0.128551i | 0.00809355 | − | 0.00913573i | ||||
\(199\) | 2.28006 | − | 0.561985i | 0.161629 | − | 0.0398380i | −0.157671 | − | 0.987492i | \(-0.550398\pi\) |
0.319300 | + | 0.947654i | \(0.396552\pi\) | |||||||
\(200\) | 0.393782 | − | 1.70404i | 0.0278446 | − | 0.120494i | ||||
\(201\) | −0.0599441 | + | 0.114214i | −0.00422813 | + | 0.00805604i | ||||
\(202\) | 0.491668 | + | 1.29642i | 0.0345937 | + | 0.0912160i | ||||
\(203\) | −19.9270 | + | 4.91155i | −1.39860 | + | 0.344723i | ||||
\(204\) | −0.0761873 | + | 0.0674961i | −0.00533418 | + | 0.00472567i | ||||
\(205\) | 2.74201 | − | 15.6024i | 0.191510 | − | 1.08972i | ||||
\(206\) | 0.0999013 | + | 0.190346i | 0.00696046 | + | 0.0132620i | ||||
\(207\) | 8.58409 | − | 9.68943i | 0.596635 | − | 0.673462i | ||||
\(208\) | −8.47796 | + | 11.4616i | −0.587841 | + | 0.794717i | ||||
\(209\) | 2.46931 | − | 2.18762i | 0.170806 | − | 0.151321i | ||||
\(210\) | −0.000987987 | − | 0.0145723i | −6.81776e−5 | − | 0.00100559i | ||||
\(211\) | −1.33385 | + | 10.9853i | −0.0918263 | + | 0.756258i | 0.871959 | + | 0.489579i | \(0.162849\pi\) |
−0.963785 | + | 0.266679i | \(0.914074\pi\) | |||||||
\(212\) | 5.66704 | − | 10.7976i | 0.389214 | − | 0.741585i | ||||
\(213\) | 0.151978 | + | 0.134640i | 0.0104133 | + | 0.00922541i | ||||
\(214\) | 0.686061 | − | 0.473554i | 0.0468982 | − | 0.0323715i | ||||
\(215\) | −16.1929 | − | 4.91688i | −1.10435 | − | 0.335328i | ||||
\(216\) | −0.0310361 | − | 0.00376847i | −0.00211174 | − | 0.000256412i | ||||
\(217\) | 27.3250 | + | 3.31786i | 1.85494 | + | 0.225231i | ||||
\(218\) | 0.377465 | − | 0.143154i | 0.0255652 | − | 0.00969558i | ||||
\(219\) | 0.0332296 | − | 0.0126023i | 0.00224545 | − | 0.000851587i | ||||
\(220\) | 2.50213 | + | 1.48783i | 0.168694 | + | 0.100309i | ||||
\(221\) | 12.3170 | − | 1.08814i | 0.828531 | − | 0.0731962i | ||||
\(222\) | 0.00679098 | + | 0.00468747i | 0.000455780 | + | 0.000314603i | ||||
\(223\) | −11.5679 | − | 2.85123i | −0.774644 | − | 0.190933i | −0.167872 | − | 0.985809i | \(-0.553690\pi\) |
−0.606772 | + | 0.794876i | \(0.707536\pi\) | |||||||
\(224\) | 4.63509 | − | 2.43268i | 0.309695 | − | 0.162541i | ||||
\(225\) | 14.1002 | + | 5.11393i | 0.940010 | + | 0.340929i | ||||
\(226\) | −0.952897 | − | 0.361386i | −0.0633858 | − | 0.0240390i | ||||
\(227\) | 2.34391 | + | 19.3038i | 0.155571 | + | 1.28124i | 0.836123 | + | 0.548542i | \(0.184817\pi\) |
−0.680552 | + | 0.732700i | \(0.738260\pi\) | |||||||
\(228\) | −0.145488 | − | 0.0358596i | −0.00963518 | − | 0.00237486i | ||||
\(229\) | 1.11602 | − | 2.12639i | 0.0737484 | − | 0.140516i | −0.845790 | − | 0.533516i | \(-0.820870\pi\) |
0.919538 | + | 0.393000i | \(0.128563\pi\) | |||||||
\(230\) | −0.726667 | − | 0.432094i | −0.0479150 | − | 0.0284914i | ||||
\(231\) | 0.0472998 | + | 0.0116583i | 0.00311210 | + | 0.000767063i | ||||
\(232\) | 1.39281 | − | 0.343298i | 0.0914427 | − | 0.0225386i | ||||
\(233\) | 11.8086 | − | 4.47843i | 0.773610 | − | 0.293392i | 0.0639661 | − | 0.997952i | \(-0.479625\pi\) |
0.709644 | + | 0.704560i | \(0.248856\pi\) | |||||||
\(234\) | 0.688383 | + | 0.651264i | 0.0450010 | + | 0.0425745i | ||||
\(235\) | 14.7488 | − | 0.999949i | 0.962103 | − | 0.0652295i | ||||
\(236\) | −3.45540 | − | 0.419562i | −0.224928 | − | 0.0273111i | ||||
\(237\) | −0.109703 | + | 0.209022i | −0.00712598 | + | 0.0135774i | ||||
\(238\) | −1.40597 | − | 0.533215i | −0.0911356 | − | 0.0345632i | ||||
\(239\) | − | 15.3811i | − | 0.994922i | −0.867486 | − | 0.497461i | \(-0.834266\pi\) | ||
0.867486 | − | 0.497461i | \(-0.165734\pi\) | |||||||
\(240\) | −0.00890947 | − | 0.131410i | −0.000575104 | − | 0.00848250i | ||||
\(241\) | 6.72691 | + | 27.2922i | 0.433319 | + | 1.75804i | 0.629030 | + | 0.777381i | \(0.283452\pi\) |
−0.195711 | + | 0.980662i | \(0.562701\pi\) | |||||||
\(242\) | −0.693391 | + | 0.614291i | −0.0445728 | + | 0.0394881i | ||||
\(243\) | 0.0962489 | − | 0.390497i | 0.00617437 | − | 0.0250504i | ||||
\(244\) | 10.7371 | − | 9.51222i | 0.687371 | − | 0.608957i | ||||
\(245\) | −34.3765 | + | 21.1246i | −2.19624 | + | 1.34960i | ||||
\(246\) | 0.00111459 | + | 0.00917951i | 7.10639e−5 | + | 0.000585264i | ||||
\(247\) | 11.6187 | + | 14.0127i | 0.739279 | + | 0.891604i | ||||
\(248\) | −1.90991 | − | 0.231905i | −0.121279 | − | 0.0147260i | ||||
\(249\) | − | 0.137236i | − | 0.00869695i | ||||||
\(250\) | 0.155489 | − | 0.967153i | 0.00983397 | − | 0.0611681i | ||||
\(251\) | 4.47960 | − | 2.35108i | 0.282750 | − | 0.148399i | −0.317387 | − | 0.948296i | \(-0.602805\pi\) |
0.600136 | + | 0.799898i | \(0.295113\pi\) | |||||||
\(252\) | 10.6059 | + | 27.9655i | 0.668111 | + | 1.76166i | ||||
\(253\) | 2.11065 | − | 1.86987i | 0.132696 | − | 0.117558i | ||||
\(254\) | 0.513392 | + | 0.579500i | 0.0322131 | + | 0.0363611i | ||||
\(255\) | −0.0801881 | + | 0.0813642i | −0.00502157 | + | 0.00509523i | ||||
\(256\) | 13.6266 | − | 7.15182i | 0.851665 | − | 0.446988i | ||||
\(257\) | 9.04904 | − | 1.09875i | 0.564464 | − | 0.0685383i | 0.166669 | − | 0.986013i | \(-0.446699\pi\) |
0.397795 | + | 0.917475i | \(0.369776\pi\) | |||||||
\(258\) | 0.00987817 | 0.000614988 | ||||||||
\(259\) | 3.81356 | − | 31.4075i | 0.236963 | − | 1.95157i | ||||
\(260\) | −8.65670 | + | 13.5303i | −0.536866 | + | 0.839114i | ||||
\(261\) | 1.48286 | + | 12.2125i | 0.0917869 | + | 0.755933i | ||||
\(262\) | −0.179180 | − | 1.47568i | −0.0110698 | − | 0.0911678i | ||||
\(263\) | 20.7328 | + | 23.4025i | 1.27844 | + | 1.44306i | 0.838378 | + | 0.545089i | \(0.183504\pi\) |
0.440059 | + | 0.897969i | \(0.354957\pi\) | |||||||
\(264\) | −0.00330606 | 0.000814871i | −0.000203474 | 5.01519e-5i | ||||||
\(265\) | 5.52604 | − | 12.5211i | 0.339462 | − | 0.769167i | ||||
\(266\) | −0.529759 | − | 2.14932i | −0.0324816 | − | 0.131783i | ||||
\(267\) | −0.0395807 | + | 0.104366i | −0.00242230 | + | 0.00638707i | ||||
\(268\) | −17.2508 | −1.05376 | ||||||||
\(269\) | 1.54139 | − | 4.06431i | 0.0939802 | − | 0.247805i | −0.879780 | − | 0.475380i | \(-0.842310\pi\) |
0.973761 | + | 0.227575i | \(0.0730797\pi\) | |||||||
\(270\) | −0.0174860 | 0.000930000i | −0.00106417 | 5.65980e-5i | ||||||
\(271\) | 1.58360 | + | 0.192284i | 0.0961971 | + | 0.0116804i | 0.168494 | − | 0.985703i | \(-0.446110\pi\) |
−0.0722966 | + | 0.997383i | \(0.523033\pi\) | |||||||
\(272\) | −12.6788 | − | 4.80842i | −0.768763 | − | 0.291553i | ||||
\(273\) | −0.0728304 | + | 0.258746i | −0.00440790 | + | 0.0156600i | ||||
\(274\) | 0.177769 | + | 0.468739i | 0.0107394 | + | 0.0283175i | ||||
\(275\) | 2.91477 | + | 1.47607i | 0.175767 | + | 0.0890103i | ||||
\(276\) | −0.124356 | − | 0.0306511i | −0.00748537 | − | 0.00184498i | ||||
\(277\) | −14.2128 | + | 9.81042i | −0.853967 | + | 0.589451i | −0.912611 | − | 0.408828i | \(-0.865938\pi\) |
0.0586443 | + | 0.998279i | \(0.481322\pi\) | |||||||
\(278\) | 0.251343 | + | 0.131915i | 0.0150745 | + | 0.00791172i | ||||
\(279\) | 3.94860 | − | 16.0201i | 0.236397 | − | 0.959099i | ||||
\(280\) | 3.33490 | − | 2.04931i | 0.199298 | − | 0.122470i | ||||
\(281\) | −24.8541 | − | 9.42591i | −1.48267 | − | 0.562302i | −0.525236 | − | 0.850957i | \(-0.676023\pi\) |
−0.957433 | + | 0.288654i | \(0.906792\pi\) | |||||||
\(282\) | −0.00806808 | + | 0.00305982i | −0.000480447 | + | 0.000182210i | ||||
\(283\) | 2.03063 | + | 3.86903i | 0.120708 | + | 0.229990i | 0.938311 | − | 0.345792i | \(-0.112390\pi\) |
−0.817603 | + | 0.575782i | \(0.804698\pi\) | |||||||
\(284\) | −6.49844 | + | 26.3652i | −0.385611 | + | 1.56449i | ||||
\(285\) | −0.165636 | − | 0.0291092i | −0.00981142 | − | 0.00172428i | ||||
\(286\) | 0.131757 | + | 0.158905i | 0.00779098 | + | 0.00939627i | ||||
\(287\) | 29.1782 | − | 20.1403i | 1.72234 | − | 1.18884i | ||||
\(288\) | −1.11268 | − | 2.93390i | −0.0655653 | − | 0.172881i | ||||
\(289\) | −1.85779 | − | 4.89860i | −0.109282 | − | 0.288153i | ||||
\(290\) | 0.765310 | − | 0.244607i | 0.0449406 | − | 0.0143638i | ||||
\(291\) | −0.0300295 | − | 0.00364624i | −0.00176036 | − | 0.000213746i | ||||
\(292\) | 3.55763 | + | 3.15178i | 0.208194 | + | 0.184444i | ||||
\(293\) | −2.32604 | − | 3.36986i | −0.135889 | − | 0.196869i | 0.749131 | − | 0.662421i | \(-0.230471\pi\) |
−0.885020 | + | 0.465552i | \(0.845856\pi\) | |||||||
\(294\) | 0.0156178 | − | 0.0176289i | 0.000910849 | − | 0.00102814i | ||||
\(295\) | −3.90111 | − | 0.207482i | −0.227132 | − | 0.0120801i | ||||
\(296\) | −0.266552 | + | 2.19526i | −0.0154930 | + | 0.127597i | ||||
\(297\) | 0.0207105 | − | 0.0546091i | 0.00120175 | − | 0.00316874i | ||||
\(298\) | −0.128840 | − | 0.145430i | −0.00746350 | − | 0.00842455i | ||||
\(299\) | 9.93110 | + | 11.9773i | 0.574330 | + | 0.692668i | ||||
\(300\) | −0.0200306 | − | 0.147042i | −0.00115647 | − | 0.00848946i | ||||
\(301\) | −17.6011 | − | 33.5362i | −1.01451 | − | 1.93299i | ||||
\(302\) | 0.869595 | + | 0.600238i | 0.0500396 | + | 0.0345398i | ||||
\(303\) | 0.156331 | + | 0.176461i | 0.00898095 | + | 0.0101374i | ||||
\(304\) | −4.77726 | − | 19.3821i | −0.273994 | − | 1.11164i | ||||
\(305\) | 11.3009 | − | 11.4667i | 0.647088 | − | 0.656579i | ||||
\(306\) | −0.418876 | + | 0.798102i | −0.0239456 | + | 0.0456245i | ||||
\(307\) | 30.8755 | − | 16.2047i | 1.76216 | − | 0.924853i | 0.834934 | − | 0.550351i | \(-0.185506\pi\) |
0.927226 | − | 0.374502i | \(-0.122186\pi\) | |||||||
\(308\) | 1.55917 | + | 6.32580i | 0.0888419 | + | 0.360446i | ||||
\(309\) | 0.0273588 | + | 0.0242378i | 0.00155639 | + | 0.00137884i | ||||
\(310\) | −1.07606 | − | 0.0572305i | −0.0611160 | − | 0.00325047i | ||||
\(311\) | 4.98726 | − | 2.61752i | 0.282802 | − | 0.148426i | −0.317359 | − | 0.948306i | \(-0.602796\pi\) |
0.600160 | + | 0.799880i | \(0.295104\pi\) | |||||||
\(312\) | 0.00509055 | − | 0.0180853i | 0.000288196 | − | 0.00102388i | ||||
\(313\) | 11.0090 | − | 20.9759i | 0.622264 | − | 1.18563i | −0.346595 | − | 0.938015i | \(-0.612662\pi\) |
0.968860 | − | 0.247611i | \(-0.0796455\pi\) | |||||||
\(314\) | 1.07078 | − | 0.739109i | 0.0604278 | − | 0.0417103i | ||||
\(315\) | 13.9993 | + | 30.5098i | 0.788773 | + | 1.71903i | ||||
\(316\) | −31.5705 | −1.77598 | ||||||||
\(317\) | −6.79906 | − | 9.85014i | −0.381873 | − | 0.553239i | 0.584166 | − | 0.811634i | \(-0.301422\pi\) |
−0.966039 | + | 0.258395i | \(0.916806\pi\) | |||||||
\(318\) | −0.000962955 | 0.00793065i | −5.39998e−5 | 0.000444729i | ||||||
\(319\) | 2.67979i | 0.150039i | ||||||||
\(320\) | 14.8910 | − | 9.15063i | 0.832434 | − | 0.511536i | ||||
\(321\) | 0.0805178 | − | 0.116650i | 0.00449406 | − | 0.00651078i | ||||
\(322\) | −0.452812 | − | 1.83713i | −0.0252343 | − | 0.102379i | ||||
\(323\) | −9.83535 | + | 14.2490i | −0.547253 | + | 0.792834i | ||||
\(324\) | 17.4060 | − | 4.29020i | 0.967000 | − | 0.238344i | ||||
\(325\) | −8.66632 | + | 15.8081i | −0.480721 | + | 0.876874i | ||||
\(326\) | −0.986310 | − | 0.243104i | −0.0546267 | − | 0.0134643i | ||||
\(327\) | 0.0513781 | − | 0.0455170i | 0.00284121 | − | 0.00251710i | ||||
\(328\) | −2.03944 | + | 1.40772i | −0.112609 | + | 0.0777286i | ||||
\(329\) | 24.7639 | + | 21.9389i | 1.36528 | + | 1.20953i | ||||
\(330\) | −0.00187833 | 0.000330102i | −0.000103399 | 1.81715e-5i | ||||||
\(331\) | −4.76600 | − | 3.28973i | −0.261963 | − | 0.180820i | 0.429843 | − | 0.902904i | \(-0.358569\pi\) |
−0.691805 | + | 0.722084i | \(0.743184\pi\) | |||||||
\(332\) | 16.2514 | − | 8.52937i | 0.891910 | − | 0.468110i | ||||
\(333\) | −18.4136 | − | 4.53854i | −1.00906 | − | 0.248711i | ||||
\(334\) | 0.0332100 | + | 0.273509i | 0.00181717 | + | 0.0149657i | ||||
\(335\) | −19.3169 | + | 1.30967i | −1.05540 | + | 0.0715547i | ||||
\(336\) | 0.195474 | − | 0.220645i | 0.0106640 | − | 0.0120371i | ||||
\(337\) | − | 20.7172i | − | 1.12854i | −0.825590 | − | 0.564270i | \(-0.809158\pi\) | ||
0.825590 | − | 0.564270i | \(-0.190842\pi\) | |||||||
\(338\) | −0.900115 | + | 0.697940i | −0.0489598 | + | 0.0379629i | ||||
\(339\) | −0.173280 | −0.00941129 | ||||||||
\(340\) | −14.6189 | − | 4.43894i | −0.792822 | − | 0.240735i | ||||
\(341\) | 1.27449 | − | 3.36055i | 0.0690173 | − | 0.181984i | ||||
\(342\) | −1.31723 | + | 0.159941i | −0.0712279 | + | 0.00864863i | ||||
\(343\) | −53.6647 | − | 13.2272i | −2.89762 | − | 0.714200i | ||||
\(344\) | 1.23025 | + | 2.34404i | 0.0663306 | + | 0.126382i | ||||
\(345\) | −0.141578 | − | 0.0248811i | −0.00762228 | − | 0.00133956i | ||||
\(346\) | 0.600075 | + | 0.414202i | 0.0322602 | + | 0.0222676i | ||||
\(347\) | 11.3349 | − | 12.7945i | 0.608491 | − | 0.686845i | −0.360833 | − | 0.932630i | \(-0.617508\pi\) |
0.969324 | + | 0.245786i | \(0.0790460\pi\) | |||||||
\(348\) | 0.100172 | − | 0.0691439i | 0.00536980 | − | 0.00370650i | ||||
\(349\) | −19.4649 | − | 21.9713i | −1.04193 | − | 1.17610i | −0.984072 | − | 0.177771i | \(-0.943111\pi\) |
−0.0578586 | − | 0.998325i | \(-0.518427\pi\) | |||||||
\(350\) | 1.78593 | − | 1.27152i | 0.0954620 | − | 0.0679658i | ||||
\(351\) | 0.297422 | + | 0.124071i | 0.0158752 | + | 0.00662240i | ||||
\(352\) | −0.163574 | − | 0.663647i | −0.00871854 | − | 0.0353725i | ||||
\(353\) | 4.38065 | − | 6.34647i | 0.233159 | − | 0.337788i | −0.688888 | − | 0.724868i | \(-0.741901\pi\) |
0.922046 | + | 0.387080i | \(0.126516\pi\) | |||||||
\(354\) | 0.00221409 | 0.000545724i | 0.000117677 | 2.90049e-5i | ||||||
\(355\) | −5.27514 | + | 30.0163i | −0.279975 | + | 1.59310i | ||||
\(356\) | −14.8189 | + | 1.79934i | −0.785401 | + | 0.0953650i | ||||
\(357\) | −0.255670 | −0.0135315 | ||||||||
\(358\) | 0.188051 | − | 1.54874i | 0.00993881 | − | 0.0818535i | ||||
\(359\) | −12.1750 | + | 8.40382i | −0.642574 | + | 0.443537i | −0.844275 | − | 0.535910i | \(-0.819968\pi\) |
0.201701 | + | 0.979447i | \(0.435353\pi\) | |||||||
\(360\) | −0.978497 | − | 2.13251i | −0.0515713 | − | 0.112393i | ||||
\(361\) | −6.48834 | −0.341492 | ||||||||
\(362\) | 0.181934 | + | 0.263577i | 0.00956224 | + | 0.0138533i | ||||
\(363\) | −0.0731976 | + | 0.139466i | −0.00384188 | + | 0.00732008i | ||||
\(364\) | −35.1671 | + | 7.45687i | −1.84326 | + | 0.390846i | ||||
\(365\) | 4.22301 | + | 3.25918i | 0.221042 | + | 0.170594i | ||||
\(366\) | −0.00436724 | + | 0.00832108i | −0.000228279 | + | 0.000434950i | ||||
\(367\) | 0.661836 | − | 0.747059i | 0.0345476 | − | 0.0389962i | −0.730983 | − | 0.682396i | \(-0.760938\pi\) |
0.765531 | + | 0.643400i | \(0.222477\pi\) | |||||||
\(368\) | −4.08337 | − | 16.5669i | −0.212860 | − | 0.863609i | ||||
\(369\) | −9.87635 | − | 18.8178i | −0.514142 | − | 0.979616i | ||||
\(370\) | −0.0657810 | + | 1.23683i | −0.00341979 | + | 0.0642996i | ||||
\(371\) | 28.6402 | − | 10.8618i | 1.48693 | − | 0.563916i | ||||
\(372\) | −0.158504 | + | 0.0390677i | −0.00821804 | + | 0.00202557i | ||||
\(373\) | 2.81977 | + | 3.18287i | 0.146002 | + | 0.164803i | 0.816962 | − | 0.576691i | \(-0.195656\pi\) |
−0.670960 | + | 0.741493i | \(0.734118\pi\) | |||||||
\(374\) | −0.111534 | + | 0.161585i | −0.00576729 | + | 0.00835536i | ||||
\(375\) | −0.0335930 | − | 0.163132i | −0.00173473 | − | 0.00842412i | ||||
\(376\) | −1.73090 | − | 1.53344i | −0.0892642 | − | 0.0790812i | ||||
\(377\) | −14.7786 | − | 0.483647i | −0.761134 | − | 0.0249091i | ||||
\(378\) | −0.0259878 | − | 0.0293341i | −0.00133667 | − | 0.00150878i | ||||
\(379\) | −18.4959 | − | 7.01457i | −0.950071 | − | 0.360314i | −0.169604 | − | 0.985512i | \(-0.554249\pi\) |
−0.780466 | + | 0.625198i | \(0.785018\pi\) | |||||||
\(380\) | −6.84739 | − | 21.4237i | −0.351264 | − | 1.09901i | ||||
\(381\) | 0.116559 | + | 0.0611747i | 0.00597148 | + | 0.00313408i | ||||
\(382\) | −0.632403 | − | 0.560260i | −0.0323566 | − | 0.0286654i | ||||
\(383\) | 10.4072 | + | 15.0775i | 0.531785 | + | 0.770423i | 0.993157 | − | 0.116783i | \(-0.0372583\pi\) |
−0.461373 | + | 0.887206i | \(0.652643\pi\) | |||||||
\(384\) | −0.0274316 | + | 0.0309639i | −0.00139986 | + | 0.00158012i | ||||
\(385\) | 2.22616 | + | 6.96508i | 0.113456 | + | 0.354973i | ||||
\(386\) | 0.113644 | − | 0.935940i | 0.00578431 | − | 0.0476381i | ||||
\(387\) | −21.2275 | + | 8.05055i | −1.07906 | + | 0.409232i | ||||
\(388\) | −1.43459 | − | 3.78270i | −0.0728302 | − | 0.192037i | ||||
\(389\) | 0.776727 | + | 1.12528i | 0.0393816 | + | 0.0570542i | 0.842180 | − | 0.539196i | \(-0.181272\pi\) |
−0.802798 | + | 0.596250i | \(0.796657\pi\) | |||||||
\(390\) | 0.00215946 | − | 0.0102991i | 0.000109348 | − | 0.000521515i | ||||
\(391\) | −8.40679 | + | 12.1793i | −0.425150 | + | 0.615935i | ||||
\(392\) | 6.12832 | + | 1.51050i | 0.309527 | + | 0.0762916i | ||||
\(393\) | −0.117459 | − | 0.223800i | −0.00592503 | − | 0.0112892i | ||||
\(394\) | 0.782171 | + | 2.06241i | 0.0394052 | + | 0.103903i | ||||
\(395\) | −35.3517 | + | 2.39681i | −1.77874 | + | 0.120596i | ||||
\(396\) | 3.87684 | − | 0.470734i | 0.194819 | − | 0.0236553i | ||||
\(397\) | −23.5103 | − | 5.79477i | −1.17995 | − | 0.290831i | −0.399905 | − | 0.916557i | \(-0.630957\pi\) |
−0.780043 | + | 0.625725i | \(0.784803\pi\) | |||||||
\(398\) | −0.182180 | − | 0.0956156i | −0.00913188 | − | 0.00479278i | ||||
\(399\) | −0.213810 | − | 0.309757i | −0.0107039 | − | 0.0155072i | ||||
\(400\) | 16.1052 | − | 11.4663i | 0.805258 | − | 0.573317i | ||||
\(401\) | 1.95941 | + | 7.94965i | 0.0978484 | + | 0.396987i | 0.999360 | − | 0.0357681i | \(-0.0113878\pi\) |
−0.901512 | + | 0.432755i | \(0.857542\pi\) | |||||||
\(402\) | 0.0105670 | − | 0.00400755i | 0.000527035 | − | 0.000199878i | ||||
\(403\) | 18.3028 | + | 7.63508i | 0.911728 | + | 0.380331i | ||||
\(404\) | −11.1802 | + | 29.4799i | −0.556237 | + | 1.46668i | ||||
\(405\) | 19.1650 | − | 6.12549i | 0.952318 | − | 0.304378i | ||||
\(406\) | 1.59219 | + | 0.835648i | 0.0790193 | + | 0.0414725i | ||||
\(407\) | −3.86263 | − | 1.46490i | −0.191463 | − | 0.0726124i | ||||
\(408\) | 0.0178703 | 0.000884711 | ||||||||
\(409\) | −2.12393 | − | 0.805499i | −0.105021 | − | 0.0398294i | 0.301535 | − | 0.953455i | \(-0.402501\pi\) |
−0.406556 | + | 0.913626i | \(0.633270\pi\) | |||||||
\(410\) | −1.08632 | + | 0.863917i | −0.0536497 | + | 0.0426658i | ||||
\(411\) | 0.0565233 | + | 0.0638016i | 0.00278809 | + | 0.00314710i | ||||
\(412\) | −1.16984 | + | 4.74623i | −0.0576339 | + | 0.233830i | ||||
\(413\) | −5.79783 | − | 6.54440i | −0.285293 | − | 0.322029i | ||||
\(414\) | −1.12591 | + | 0.136710i | −0.0553354 | + | 0.00671894i | ||||
\(415\) | 17.5503 | − | 10.7847i | 0.861509 | − | 0.529402i | ||||
\(416\) | 3.68942 | − | 0.782309i | 0.180889 | − | 0.0383558i | ||||
\(417\) | 0.0479119 | + | 0.00581755i | 0.00234625 | + | 0.000284887i | ||||
\(418\) | −0.289041 | −0.0141375 | ||||||||
\(419\) | 0.368889 | + | 3.03807i | 0.0180214 | + | 0.148420i | 0.998942 | − | 0.0459896i | \(-0.0146441\pi\) |
−0.980921 | + | 0.194409i | \(0.937721\pi\) | |||||||
\(420\) | 0.202920 | − | 0.262929i | 0.00990147 | − | 0.0128296i | ||||
\(421\) | −2.07794 | + | 0.788057i | −0.101272 | + | 0.0384075i | −0.404721 | − | 0.914440i | \(-0.632631\pi\) |
0.303448 | + | 0.952848i | \(0.401862\pi\) | |||||||
\(422\) | 0.725719 | − | 0.642931i | 0.0353274 | − | 0.0312974i | ||||
\(423\) | 14.8441 | − | 13.1507i | 0.721744 | − | 0.639410i | ||||
\(424\) | −2.00183 | + | 0.759196i | −0.0972177 | + | 0.0368698i | ||||
\(425\) | −16.7068 | − | 3.86074i | −0.810401 | − | 0.187273i | ||||
\(426\) | −0.00214428 | − | 0.0176598i | −0.000103891 | − | 0.000855618i | ||||
\(427\) | 36.0316 | 1.74369 | ||||||||
\(428\) | 18.8179 | + | 2.28491i | 0.909600 | + | 0.110445i | ||||
\(429\) | 0.0305276 | + | 0.0173187i | 0.00147389 | + | 0.000836152i | ||||
\(430\) | 0.776282 | + | 1.26326i | 0.0374356 | + | 0.0609199i | ||||
\(431\) | 15.2927 | − | 1.85687i | 0.736624 | − | 0.0894424i | 0.256379 | − | 0.966576i | \(-0.417471\pi\) |
0.480246 | + | 0.877134i | \(0.340548\pi\) | |||||||
\(432\) | −0.234352 | − | 0.264529i | −0.0112753 | − | 0.0127272i | ||||
\(433\) | 3.83313 | − | 15.5516i | 0.184209 | − | 0.747364i | −0.804049 | − | 0.594564i | \(-0.797325\pi\) |
0.988257 | − | 0.152800i | \(-0.0488290\pi\) | |||||||
\(434\) | −1.59924 | − | 1.80517i | −0.0767659 | − | 0.0866508i | ||||
\(435\) | 0.106921 | − | 0.0850304i | 0.00512645 | − | 0.00407689i | ||||
\(436\) | 8.58332 | + | 3.25522i | 0.411066 | + | 0.155897i | ||||
\(437\) | −21.7862 | −1.04218 | ||||||||
\(438\) | −0.00291143 | − | 0.00110416i | −0.000139114 | − | 5.27588e-5i | ||||
\(439\) | 34.4490 | + | 18.0802i | 1.64416 | + | 0.862923i | 0.994733 | + | 0.102502i | \(0.0326848\pi\) |
0.649430 | + | 0.760421i | \(0.275008\pi\) | |||||||
\(440\) | −0.155600 | − | 0.486831i | −0.00741793 | − | 0.0232087i | ||||
\(441\) | −19.1944 | + | 50.6116i | −0.914021 | + | 2.41007i | ||||
\(442\) | −0.870984 | − | 0.644254i | −0.0414285 | − | 0.0306440i | ||||
\(443\) | −26.6140 | + | 10.0933i | −1.26447 | + | 0.479549i | −0.893486 | − | 0.449091i | \(-0.851748\pi\) |
−0.370981 | + | 0.928640i | \(0.620979\pi\) | |||||||
\(444\) | 0.0449046 | + | 0.182185i | 0.00213108 | + | 0.00864612i | ||||
\(445\) | −16.4572 | + | 3.13989i | −0.780146 | + | 0.148845i | ||||
\(446\) | 0.592981 | + | 0.859081i | 0.0280785 | + | 0.0406787i | ||||
\(447\) | −0.0292514 | − | 0.0153523i | −0.00138354 | − | 0.000726139i | ||||
\(448\) | 37.9798 | + | 9.36117i | 1.79438 | + | 0.442274i | ||||
\(449\) | −29.5302 | + | 3.58562i | −1.39362 | + | 0.169216i | −0.782661 | − | 0.622449i | \(-0.786138\pi\) |
−0.610956 | + | 0.791664i | \(0.709215\pi\) | |||||||
\(450\) | −0.627586 | − | 1.15459i | −0.0295847 | − | 0.0544281i | ||||
\(451\) | −1.64159 | − | 4.32852i | −0.0772995 | − | 0.203822i | ||||
\(452\) | −10.7696 | − | 20.5198i | −0.506559 | − | 0.965168i | ||||
\(453\) | 0.174438 | + | 0.0429951i | 0.00819581 | + | 0.00202009i | ||||
\(454\) | 0.967835 | − | 1.40215i | 0.0454227 | − | 0.0658062i | ||||
\(455\) | −38.8130 | + | 11.0198i | −1.81958 | + | 0.516618i | ||||
\(456\) | 0.0149444 | + | 0.0216507i | 0.000699837 | + | 0.00101389i | ||||
\(457\) | 6.61987 | + | 17.4552i | 0.309665 | + | 0.816518i | 0.996010 | + | 0.0892425i | \(0.0284446\pi\) |
−0.686345 | + | 0.727276i | \(0.740786\pi\) | |||||||
\(458\) | −0.196733 | + | 0.0746109i | −0.00919272 | + | 0.00348634i | ||||
\(459\) | −0.0369470 | + | 0.304286i | −0.00172454 | + | 0.0142028i | ||||
\(460\) | −5.85282 | − | 18.3119i | −0.272889 | − | 0.853799i | ||||
\(461\) | 0.921396 | − | 1.04004i | 0.0429137 | − | 0.0484395i | −0.726662 | − | 0.686995i | \(-0.758929\pi\) |
0.769576 | + | 0.638556i | \(0.220468\pi\) | |||||||
\(462\) | −0.00242463 | − | 0.00351268i | −0.000112804 | − | 0.000163425i | ||||
\(463\) | 17.8418 | + | 15.8064i | 0.829178 | + | 0.734587i | 0.966700 | − | 0.255911i | \(-0.0823755\pi\) |
−0.137523 | + | 0.990499i | \(0.543914\pi\) | |||||||
\(464\) | 14.3581 | + | 7.53570i | 0.666557 | + | 0.349836i | ||||
\(465\) | −0.174522 | + | 0.0557804i | −0.00809327 | + | 0.00258675i | ||||
\(466\) | −1.03462 | − | 0.392380i | −0.0479279 | − | 0.0181767i | ||||
\(467\) | 7.68632 | + | 8.67606i | 0.355680 | + | 0.401480i | 0.898931 | − | 0.438090i | \(-0.144345\pi\) |
−0.543250 | + | 0.839571i | \(0.682807\pi\) | |||||||
\(468\) | 1.89632 | + | 21.4651i | 0.0876576 | + | 0.992224i | ||||
\(469\) | −32.4341 | − | 28.7341i | −1.49767 | − | 1.32682i | ||||
\(470\) | −1.02534 | − | 0.791323i | −0.0472953 | − | 0.0365010i | ||||
\(471\) | 0.125670 | − | 0.182064i | 0.00579055 | − | 0.00838906i | ||||
\(472\) | 0.405245 | + | 0.457427i | 0.0186529 | + | 0.0210548i | ||||
\(473\) | −4.80167 | + | 1.18350i | −0.220781 | + | 0.0544176i | ||||
\(474\) | 0.0193386 | − | 0.00733416i | 0.000888251 | − | 0.000336869i | ||||
\(475\) | −9.29398 | − | 23.4698i | −0.426437 | − | 1.07687i | ||||
\(476\) | −15.8902 | − | 30.2763i | −0.728328 | − | 1.38771i | ||||
\(477\) | −4.39402 | − | 17.8272i | −0.201188 | − | 0.816254i | ||||
\(478\) | −0.893641 | + | 1.00871i | −0.0408742 | + | 0.0461374i | ||||
\(479\) | −2.91048 | + | 5.54545i | −0.132983 | + | 0.253378i | −0.942838 | − | 0.333253i | \(-0.891854\pi\) |
0.809854 | + | 0.586631i | \(0.199546\pi\) | |||||||
\(480\) | −0.0212885 | + | 0.0275841i | −0.000971685 | + | 0.00125904i | ||||
\(481\) | 8.77580 | − | 21.0373i | 0.400142 | − | 0.959220i | ||||
\(482\) | 1.14451 | − | 2.18069i | 0.0521311 | − | 0.0993275i | ||||
\(483\) | −0.182754 | − | 0.264765i | −0.00831560 | − | 0.0120472i | ||||
\(484\) | −21.0649 | −0.957494 | ||||||||
\(485\) | −1.89359 | − | 4.12684i | −0.0859835 | − | 0.187390i | ||||
\(486\) | −0.0289999 | + | 0.0200172i | −0.00131546 | + | 0.000907999i | ||||
\(487\) | −1.07689 | + | 8.86902i | −0.0487987 | + | 0.401894i | 0.947759 | + | 0.318988i | \(0.103343\pi\) |
−0.996557 | + | 0.0829054i | \(0.973580\pi\) | |||||||
\(488\) | −2.51846 | −0.114005 | ||||||||
\(489\) | −0.171461 | + | 0.0208191i | −0.00775372 | + | 0.000941472i | ||||
\(490\) | 3.48179 | + | 0.611897i | 0.157291 | + | 0.0276427i | ||||
\(491\) | −9.82592 | + | 2.42187i | −0.443438 | + | 0.109298i | −0.454711 | − | 0.890639i | \(-0.650258\pi\) |
0.0112737 | + | 0.999936i | \(0.496411\pi\) | |||||||
\(492\) | −0.119447 | + | 0.173048i | −0.00538507 | + | 0.00780162i | ||||
\(493\) | −3.36578 | − | 13.6555i | −0.151587 | − | 0.615012i | ||||
\(494\) | 0.0521661 | − | 1.59401i | 0.00234706 | − | 0.0717179i | ||||
\(495\) | 4.30544 | − | 0.821441i | 0.193515 | − | 0.0369210i | ||||
\(496\) | −14.4216 | − | 16.2786i | −0.647549 | − | 0.730932i | ||||
\(497\) | −56.1338 | + | 38.7463i | −2.51794 | + | 1.73801i | ||||
\(498\) | −0.00797336 | + | 0.00900007i | −0.000357295 | + | 0.000403303i | ||||
\(499\) | 16.8985 | + | 11.6642i | 0.756481 | + | 0.522161i | 0.882755 | − | 0.469834i | \(-0.155686\pi\) |
−0.126273 | + | 0.991995i | \(0.540302\pi\) | |||||||
\(500\) | 17.2302 | − | 14.1170i | 0.770559 | − | 0.631330i | ||||
\(501\) | 0.0217704 | + | 0.0414800i | 0.000972628 | + | 0.00185319i | ||||
\(502\) | −0.430375 | − | 0.106078i | −0.0192086 | − | 0.00473449i | ||||
\(503\) | 35.6156 | − | 4.32452i | 1.58802 | − | 0.192821i | 0.721663 | − | 0.692244i | \(-0.243378\pi\) |
0.866358 | + | 0.499423i | \(0.166455\pi\) | |||||||
\(504\) | 1.86207 | − | 4.90987i | 0.0829431 | − | 0.218703i | ||||
\(505\) | −10.2812 | + | 33.8595i | −0.457508 | + | 1.50673i | ||||
\(506\) | −0.247058 | −0.0109831 | ||||||||
\(507\) | −0.101019 | + | 0.165229i | −0.00448641 | + | 0.00733807i | ||||
\(508\) | 17.6049i | 0.781092i | ||||||||
\(509\) | −24.5951 | + | 27.7621i | −1.09016 | + | 1.23054i | −0.118800 | + | 0.992918i | \(0.537905\pi\) |
−0.971359 | + | 0.237617i | \(0.923634\pi\) | |||||||
\(510\) | 0.00998608 | 0.000677045i | 0.000442191 | 2.99801e-5i | ||||||
\(511\) | 1.43905 | + | 11.8517i | 0.0636600 | + | 0.524287i | ||||
\(512\) | −6.70150 | − | 1.65177i | −0.296167 | − | 0.0729987i | ||||
\(513\) | −0.399555 | + | 0.209703i | −0.0176408 | + | 0.00925860i | ||||
\(514\) | −0.657284 | − | 0.453691i | −0.0289916 | − | 0.0200114i | ||||
\(515\) | −0.949624 | + | 5.40350i | −0.0418454 | + | 0.238107i | ||||
\(516\) | 0.168133 | + | 0.148953i | 0.00740164 | + | 0.00655728i | ||||
\(517\) | 3.55521 | − | 2.45398i | 0.156358 | − | 0.107926i | ||||
\(518\) | −2.07487 | + | 1.83817i | −0.0911644 | + | 0.0807647i | ||||
\(519\) | 0.120373 | + | 0.0296693i | 0.00528380 | + | 0.00130234i | ||||
\(520\) | 2.71287 | − | 0.770243i | 0.118967 | − | 0.0337774i | ||||
\(521\) | 8.81039 | − | 2.17157i | 0.385990 | − | 0.0951380i | −0.0415454 | − | 0.999137i | \(-0.513228\pi\) |
0.427535 | + | 0.903999i | \(0.359382\pi\) | |||||||
\(522\) | 0.612295 | − | 0.887063i | 0.0267994 | − | 0.0388257i | ||||
\(523\) | −6.81556 | − | 27.6518i | −0.298024 | − | 1.20913i | −0.908768 | − | 0.417302i | \(-0.862976\pi\) |
0.610744 | − | 0.791828i | \(-0.290870\pi\) | |||||||
\(524\) | 19.2020 | − | 27.8189i | 0.838843 | − | 1.21527i | ||||
\(525\) | 0.207262 | − | 0.309825i | 0.00904568 | − | 0.0135219i | ||||
\(526\) | − | 2.73933i | − | 0.119441i | ||||||
\(527\) | −2.27365 | + | 18.7252i | −0.0990418 | + | 0.815682i | ||||
\(528\) | −0.0218648 | − | 0.0316766i | −0.000951543 | − | 0.00137855i | ||||
\(529\) | 4.37818 | 0.190356 | ||||||||
\(530\) | −1.08988 | + | 0.500088i | −0.0473414 | + | 0.0217224i | ||||
\(531\) | −4.31318 | + | 2.97717i | −0.187176 | + | 0.129198i | ||||
\(532\) | 23.3927 | − | 44.5710i | 1.01420 | − | 1.93240i | ||||
\(533\) | 24.1673 | − | 8.27188i | 1.04680 | − | 0.358295i | ||||
\(534\) | 0.00865937 | − | 0.00454479i | 0.000374728 | − | 0.000196672i | ||||
\(535\) | 21.2453 | + | 1.12993i | 0.918513 | + | 0.0488513i | ||||
\(536\) | 2.26701 | + | 2.00840i | 0.0979200 | + | 0.0867496i | ||||
\(537\) | −0.0634819 | − | 0.257556i | −0.00273945 | − | 0.0111144i | ||||
\(538\) | −0.337222 | + | 0.176988i | −0.0145387 | + | 0.00763048i | ||||
\(539\) | −5.47953 | + | 10.4404i | −0.236020 | + | 0.449699i | ||||
\(540\) | −0.283601 | − | 0.279501i | −0.0122042 | − | 0.0120278i | ||||
\(541\) | 5.15881 | + | 20.9301i | 0.221795 | + | 0.899856i | 0.971300 | + | 0.237858i | \(0.0764452\pi\) |
−0.749505 | + | 0.661998i | \(0.769709\pi\) | |||||||
\(542\) | −0.0926829 | − | 0.104617i | −0.00398107 | − | 0.00449370i | ||||
\(543\) | 0.0448157 | + | 0.0309340i | 0.00192322 | + | 0.00132751i | ||||
\(544\) | 1.66706 | + | 3.17632i | 0.0714747 | + | 0.136184i | ||||
\(545\) | 9.85849 | + | 2.99347i | 0.422291 | + | 0.128226i | ||||
\(546\) | 0.0198094 | − | 0.0127374i | 0.000847764 | − | 0.000545112i | ||||
\(547\) | −18.8594 | − | 21.2878i | −0.806368 | − | 0.910201i | 0.191082 | − | 0.981574i | \(-0.438800\pi\) |
−0.997450 | + | 0.0713731i | \(0.977262\pi\) | |||||||
\(548\) | −4.04236 | + | 10.6588i | −0.172681 | + | 0.455322i | ||||
\(549\) | 2.60337 | − | 21.4407i | 0.111109 | − | 0.915067i | ||||
\(550\) | −0.105395 | − | 0.266150i | −0.00449406 | − | 0.0113487i | ||||
\(551\) | 13.7296 | − | 15.4975i | 0.584900 | − | 0.660216i | ||||
\(552\) | 0.0127738 | + | 0.0185060i | 0.000543688 | + | 0.000787668i | ||||
\(553\) | −59.3573 | − | 52.5860i | −2.52413 | − | 2.23618i | ||||
\(554\) | 1.50208 | + | 0.182385i | 0.0638172 | + | 0.00774882i | ||||
\(555\) | 0.0641142 | + | 0.200596i | 0.00272150 | + | 0.00851484i | ||||
\(556\) | 2.28888 | + | 6.03527i | 0.0970700 | + | 0.255952i | ||||
\(557\) | 11.4535 | + | 30.2003i | 0.485299 | + | 1.27963i | 0.924481 | + | 0.381229i | \(0.124499\pi\) |
−0.439182 | + | 0.898398i | \(0.644732\pi\) | |||||||
\(558\) | −1.18972 | + | 0.821205i | −0.0503649 | + | 0.0347644i | ||||
\(559\) | −5.66022 | − | 26.6940i | −0.239402 | − | 1.12903i | ||||
\(560\) | 43.5784 | + | 7.65857i | 1.84152 | + | 0.323633i | ||||
\(561\) | −0.00798920 | + | 0.0324135i | −0.000337304 | + | 0.00136850i | ||||
\(562\) | 1.08232 | + | 2.06218i | 0.0456547 | + | 0.0869878i | ||||
\(563\) | 37.1702 | − | 14.0968i | 1.56654 | − | 0.594109i | 0.589612 | − | 0.807687i | \(-0.299281\pi\) |
0.976926 | + | 0.213577i | \(0.0685115\pi\) | |||||||
\(564\) | −0.183463 | − | 0.0695784i | −0.00772519 | − | 0.00292978i | ||||
\(565\) | −13.6173 | − | 22.1598i | −0.572886 | − | 0.932270i | ||||
\(566\) | 0.0916195 | − | 0.371715i | 0.00385105 | − | 0.0156243i | ||||
\(567\) | 39.8720 | + | 20.9264i | 1.67447 | + | 0.878828i | ||||
\(568\) | 3.92352 | − | 2.70821i | 0.164627 | − | 0.113634i | ||||
\(569\) | −14.6894 | − | 3.62062i | −0.615813 | − | 0.151784i | −0.0809431 | − | 0.996719i | \(-0.525793\pi\) |
−0.534870 | + | 0.844934i | \(0.679639\pi\) | |||||||
\(570\) | 0.00917135 | + | 0.0115324i | 0.000384146 | + | 0.000483040i | ||||
\(571\) | −5.22906 | − | 13.7879i | −0.218829 | − | 0.577006i | 0.779979 | − | 0.625805i | \(-0.215230\pi\) |
−0.998809 | + | 0.0487999i | \(0.984460\pi\) | |||||||
\(572\) | −0.153534 | + | 4.69144i | −0.00641956 | + | 0.196159i | ||||
\(573\) | −0.134319 | − | 0.0509405i | −0.00561126 | − | 0.00212807i | ||||
\(574\) | −3.08369 | − | 0.374428i | −0.128711 | − | 0.0156283i | ||||
\(575\) | −7.94405 | − | 20.0608i | −0.331290 | − | 0.836595i | ||||
\(576\) | 8.31454 | − | 21.9236i | 0.346439 | − | 0.913485i | ||||
\(577\) | −21.3605 | −0.889251 | −0.444625 | − | 0.895717i | \(-0.646663\pi\) | ||||
−0.444625 | + | 0.895717i | \(0.646663\pi\) | |||||||
\(578\) | −0.162772 | + | 0.429193i | −0.00677041 | + | 0.0178521i | ||||
\(579\) | −0.0383636 | − | 0.155647i | −0.00159434 | − | 0.00646848i | ||||
\(580\) | 16.7145 | + | 7.37674i | 0.694033 | + | 0.306302i | ||||
\(581\) | 44.7622 | + | 11.0329i | 1.85705 | + | 0.457721i | ||||
\(582\) | 0.00175752 | + | 0.00198383i | 7.28517e−5 | + | 8.22326e-5i | ||||
\(583\) | −0.482091 | − | 3.97037i | −0.0199662 | − | 0.164436i | ||||
\(584\) | −0.100584 | − | 0.828384i | −0.00416220 | − | 0.0342788i | ||||
\(585\) | 3.75306 | + | 23.8920i | 0.155170 | + | 0.987813i | ||||
\(586\) | −0.0432435 | + | 0.356142i | −0.00178637 | + | 0.0147121i | ||||
\(587\) | −23.6685 | −0.976902 | −0.488451 | − | 0.872591i | \(-0.662438\pi\) | ||||
−0.488451 | + | 0.872591i | \(0.662438\pi\) | |||||||
\(588\) | 0.531651 | − | 0.0645541i | 0.0219249 | − | 0.00266217i | ||||
\(589\) | −24.5879 | + | 12.9047i | −1.01313 | + | 0.531729i | ||||
\(590\) | 0.243785 | + | 0.240261i | 0.0100365 | + | 0.00989139i | ||||
\(591\) | 0.248698 | + | 0.280722i | 0.0102301 | + | 0.0115474i | ||||
\(592\) | −18.7107 | + | 16.5763i | −0.769006 | + | 0.681280i | ||||
\(593\) | −12.9361 | − | 34.1098i | −0.531224 | − | 1.40072i | −0.885088 | − | 0.465425i | \(-0.845902\pi\) |
0.353864 | − | 0.935297i | \(-0.384868\pi\) | |||||||
\(594\) | −0.00453100 | + | 0.00237805i | −0.000185909 | + | 9.75727e-5i | ||||
\(595\) | −20.0920 | − | 32.6962i | −0.823691 | − | 1.34041i | ||||
\(596\) | − | 4.41810i | − | 0.180972i | ||||||
\(597\) | −0.0347279 | − | 0.00421673i | −0.00142132 | − | 0.000172579i | ||||
\(598\) | 0.0445891 | − | 1.36248i | 0.00182338 | − | 0.0557161i | ||||
\(599\) | 4.61372 | + | 37.9974i | 0.188511 | + | 1.55253i | 0.713031 | + | 0.701133i | \(0.247322\pi\) |
−0.524520 | + | 0.851398i | \(0.675755\pi\) | |||||||
\(600\) | −0.0144868 | + | 0.0216555i | −0.000591421 | + | 0.000884084i | ||||
\(601\) | −33.4682 | + | 29.6502i | −1.36520 | + | 1.20946i | −0.410504 | + | 0.911859i | \(0.634647\pi\) |
−0.954691 | + | 0.297599i | \(0.903814\pi\) | |||||||
\(602\) | −0.794143 | + | 3.22197i | −0.0323669 | + | 0.131318i | ||||
\(603\) | −19.4418 | + | 17.2239i | −0.791731 | + | 0.701412i | ||||
\(604\) | 5.75010 | + | 23.3291i | 0.233968 | + | 0.949246i | ||||
\(605\) | −23.5878 | + | 1.59923i | −0.958981 | + | 0.0650179i | ||||
\(606\) | − | 0.0206553i | − | 0.000839063i | ||||||
\(607\) | 13.6634 | + | 5.18185i | 0.554581 | + | 0.210325i | 0.615943 | − | 0.787791i | \(-0.288775\pi\) |
−0.0613622 | + | 0.998116i | \(0.519544\pi\) | |||||||
\(608\) | −2.45415 | + | 4.67600i | −0.0995290 | + | 0.189637i | ||||
\(609\) | 0.303510 | + | 0.0368528i | 0.0122989 | + | 0.00149335i | ||||
\(610\) | −1.40734 | + | 0.0954159i | −0.0569815 | + | 0.00386328i | ||||
\(611\) | 12.8916 | + | 20.0493i | 0.521540 | + | 0.811106i | ||||
\(612\) | −19.1641 | + | 7.26800i | −0.774664 | + | 0.293791i | ||||
\(613\) | 4.41218 | − | 1.08751i | 0.178206 | − | 0.0439239i | −0.149203 | − | 0.988807i | \(-0.547671\pi\) |
0.327409 | + | 0.944883i | \(0.393825\pi\) | |||||||
\(614\) | −2.96635 | − | 0.731139i | −0.119712 | − | 0.0295064i | ||||
\(615\) | −0.120615 | + | 0.202843i | −0.00486368 | + | 0.00817941i | ||||
\(616\) | 0.531574 | − | 1.01283i | 0.0214177 | − | 0.0408081i | ||||
\(617\) | 4.29628 | + | 1.05894i | 0.172962 | + | 0.0426313i | 0.324845 | − | 0.945767i | \(-0.394688\pi\) |
−0.151884 | + | 0.988398i | \(0.548534\pi\) | |||||||
\(618\) | −0.000386011 | − | 0.00317909i | −1.55276e−5 | − | 0.000127882i | ||||
\(619\) | 16.5047 | + | 6.25941i | 0.663380 | + | 0.251587i | 0.663233 | − | 0.748413i | \(-0.269184\pi\) |
0.000147148 | 1.00000i | \(0.499953\pi\) | ||||||||
\(620\) | −17.4523 | − | 17.2000i | −0.700900 | − | 0.690768i | ||||
\(621\) | −0.341520 | + | 0.179244i | −0.0137047 | + | 0.00719280i | ||||
\(622\) | −0.479148 | − | 0.118099i | −0.0192121 | − | 0.00473535i | ||||
\(623\) | −30.8589 | − | 21.3004i | −1.23634 | − | 0.853382i | ||||
\(624\) | 0.178637 | − | 0.114864i | 0.00715121 | − | 0.00459822i | ||||
\(625\) | 18.2221 | − | 17.1159i | 0.728886 | − | 0.684635i | ||||
\(626\) | −1.94068 | + | 0.736002i | −0.0775651 | + | 0.0294165i | ||||
\(627\) | −0.0459516 | + | 0.0174272i | −0.00183513 | + | 0.000695973i | ||||
\(628\) | 29.3705 | + | 3.56622i | 1.17201 | + | 0.142308i | ||||
\(629\) | 21.5228 | + | 2.61334i | 0.858171 | + | 0.104201i | ||||
\(630\) | 0.854522 | − | 2.81423i | 0.0340450 | − | 0.112122i | ||||
\(631\) | 34.6856 | − | 23.9417i | 1.38081 | − | 0.953105i | 0.381221 | − | 0.924484i | \(-0.375504\pi\) |
0.999590 | − | 0.0286213i | \(-0.00911167\pi\) | |||||||
\(632\) | 4.14883 | + | 3.67555i | 0.165032 | + | 0.146205i | ||||
\(633\) | 0.0766103 | − | 0.145969i | 0.00304498 | − | 0.00580173i | ||||
\(634\) | −0.126401 | + | 1.04101i | −0.00502004 | + | 0.0413437i | ||||
\(635\) | 1.33655 | + | 19.7135i | 0.0530394 | + | 0.782305i | ||||
\(636\) | −0.135976 | + | 0.120465i | −0.00539181 | + | 0.00477673i | ||||
\(637\) | −56.5879 | − | 32.1029i | −2.24209 | − | 1.27196i | ||||
\(638\) | 0.155695 | − | 0.175744i | 0.00616403 | − | 0.00695776i | ||||
\(639\) | 19.0003 | + | 36.2021i | 0.751642 | + | 1.43213i | ||||
\(640\) | −6.11552 | − | 1.07475i | −0.241737 | − | 0.0424834i | ||||
\(641\) | 26.1524 | − | 23.1690i | 1.03296 | − | 0.915119i | 0.0365083 | − | 0.999333i | \(-0.488376\pi\) |
0.996448 | + | 0.0842142i | \(0.0268380\pi\) | |||||||
\(642\) | −0.0120578 | + | 0.00297198i | −0.000475884 | + | 0.000117295i | ||||
\(643\) | 6.34896 | + | 16.7408i | 0.250378 | + | 0.660194i | 0.999999 | − | 0.00167455i | \(-0.000533026\pi\) |
−0.749620 | + | 0.661868i | \(0.769764\pi\) | |||||||
\(644\) | 19.9949 | − | 38.0972i | 0.787911 | − | 1.50124i | ||||
\(645\) | 0.199579 | + | 0.154029i | 0.00785841 | + | 0.00606487i | ||||
\(646\) | 1.47288 | − | 0.363032i | 0.0579496 | − | 0.0142833i | ||||
\(647\) | 30.4608 | − | 34.3832i | 1.19754 | − | 1.35174i | 0.277107 | − | 0.960839i | \(-0.410625\pi\) |
0.920432 | − | 0.390902i | \(-0.127837\pi\) | |||||||
\(648\) | −2.78689 | − | 1.46267i | −0.109479 | − | 0.0574592i | ||||
\(649\) | −1.01086 | + | 0.530541i | −0.0396797 | + | 0.0208255i | ||||
\(650\) | 1.48679 | − | 0.533200i | 0.0583169 | − | 0.0209138i | ||||
\(651\) | −0.363085 | − | 0.190562i | −0.0142304 | − | 0.00746871i | ||||
\(652\) | −13.1219 | − | 19.0104i | −0.513893 | − | 0.744503i | ||||
\(653\) | 39.4788i | 1.54493i | 0.635060 | + | 0.772463i | \(0.280975\pi\) | ||||
−0.635060 | + | 0.772463i | \(0.719025\pi\) | |||||||
\(654\) | −0.00601397 | −0.000235165 | ||||||||
\(655\) | 19.3899 | − | 32.6086i | 0.757624 | − | 1.27412i | ||||
\(656\) | −27.8081 | − | 3.37652i | −1.08572 | − | 0.131831i | ||||
\(657\) | 7.15635 | 0.279196 | ||||||||
\(658\) | −0.349399 | − | 2.87756i | −0.0136210 | − | 0.112179i | ||||
\(659\) | −18.5274 | + | 26.8416i | −0.721726 | + | 1.04560i | 0.274733 | + | 0.961520i | \(0.411410\pi\) |
−0.996459 | + | 0.0840798i | \(0.973205\pi\) | |||||||
\(660\) | −0.0269928 | − | 0.0339419i | −0.00105069 | − | 0.00132119i | ||||
\(661\) | 9.47306 | + | 6.53878i | 0.368460 | + | 0.254329i | 0.737878 | − | 0.674934i | \(-0.235828\pi\) |
−0.369419 | + | 0.929263i | \(0.620443\pi\) | |||||||
\(662\) | 0.121427 | + | 0.492648i | 0.00471939 | + | 0.0191473i | ||||
\(663\) | −0.177313 | − | 0.0499090i | −0.00688625 | − | 0.00193831i | ||||
\(664\) | −3.12869 | − | 0.771154i | −0.121417 | − | 0.0299266i | ||||
\(665\) | 22.8106 | − | 51.6853i | 0.884559 | − | 2.00427i | ||||
\(666\) | 0.943896 | + | 1.36747i | 0.0365752 | + | 0.0529884i | ||||
\(667\) | 11.7354 | − | 13.2465i | 0.454396 | − | 0.512907i | ||||
\(668\) | −3.55898 | + | 5.15607i | −0.137701 | + | 0.199494i | ||||
\(669\) | 0.146068 | + | 0.100824i | 0.00564733 | + | 0.00389807i | ||||
\(670\) | 1.34292 | + | 1.03642i | 0.0518815 | + | 0.0400405i | ||||
\(671\) | 1.12592 | − | 4.56803i | 0.0434656 | − | 0.176347i | ||||
\(672\) | −0.0774135 | + | 0.00939970i | −0.00298629 | + | 0.000362601i | ||||
\(673\) | −3.20603 | − | 1.21589i | −0.123583 | − | 0.0468689i | 0.292038 | − | 0.956407i | \(-0.405667\pi\) |
−0.415621 | + | 0.909538i | \(0.636436\pi\) | |||||||
\(674\) | −1.20367 | + | 1.35866i | −0.0463636 | + | 0.0523337i | ||||
\(675\) | −0.338787 | − | 0.291447i | −0.0130399 | − | 0.0112178i | ||||
\(676\) | −25.8448 | − | 1.69342i | −0.994030 | − | 0.0651316i | ||||
\(677\) | 23.0022i | 0.884045i | 0.897004 | + | 0.442023i | \(0.145739\pi\) | ||||
−0.897004 | + | 0.442023i | \(0.854261\pi\) | |||||||
\(678\) | 0.0113639 | + | 0.0100676i | 0.000436429 | + | 0.000386642i | ||||
\(679\) | 3.60348 | − | 9.50160i | 0.138289 | − | 0.364638i | ||||
\(680\) | 1.40435 | + | 2.28533i | 0.0538543 | + | 0.0876384i | ||||
\(681\) | 0.0693261 | − | 0.281267i | 0.00265658 | − | 0.0107782i | ||||
\(682\) | −0.278830 | + | 0.146341i | −0.0106769 | + | 0.00560369i | ||||
\(683\) | 19.8860 | − | 28.8099i | 0.760918 | − | 1.10238i | −0.230681 | − | 0.973029i | \(-0.574095\pi\) |
0.991599 | − | 0.129351i | \(-0.0412893\pi\) | |||||||
\(684\) | −24.8320 | − | 17.1403i | −0.949474 | − | 0.655375i | ||||
\(685\) | −3.71731 | + | 12.2423i | −0.142031 | + | 0.467756i | ||||
\(686\) | 2.75090 | + | 3.98536i | 0.105030 | + | 0.152162i | ||||
\(687\) | −0.0267780 | + | 0.0237232i | −0.00102164 | + | 0.000905097i | ||||
\(688\) | −7.16142 | + | 29.0550i | −0.273027 | + | 1.10771i | ||||
\(689\) | 21.9829 | − | 1.94207i | 0.837483 | − | 0.0739871i | ||||
\(690\) | 0.00783923 | + | 0.00985737i | 0.000298434 | + | 0.000375264i | ||||
\(691\) | 36.0411 | + | 24.8774i | 1.37107 | + | 0.946380i | 0.999841 | + | 0.0178380i | \(0.00567830\pi\) |
0.371227 | + | 0.928542i | \(0.378937\pi\) | |||||||
\(692\) | 3.96793 | + | 16.0985i | 0.150838 | + | 0.611974i | ||||
\(693\) | 8.07315 | + | 5.57249i | 0.306673 | + | 0.211681i | ||||
\(694\) | −1.48672 | + | 0.180520i | −0.0564350 | + | 0.00685245i | ||||
\(695\) | 3.02121 | + | 6.58435i | 0.114601 | + | 0.249759i | ||||
\(696\) | −0.0212141 | − | 0.00257586i | −0.000804119 | − | 9.76378e-5i | ||||
\(697\) | 13.8017 | + | 19.9952i | 0.522776 | + | 0.757371i | ||||
\(698\) | 2.57181i | 0.0973444i | ||||||||
\(699\) | −0.188141 | −0.00711616 | ||||||||
\(700\) | 49.5710 | + | 5.28785i | 1.87361 | + | 0.199862i | ||||
\(701\) | 29.0619 | + | 15.2528i | 1.09765 | + | 0.576092i | 0.913514 | − | 0.406808i | \(-0.133358\pi\) |
0.184138 | + | 0.982900i | \(0.441051\pi\) | |||||||
\(702\) | −0.0122968 | − | 0.0254169i | −0.000464113 | − | 0.000959298i | ||||
\(703\) | 14.8327 | + | 28.2614i | 0.559427 | + | 1.06590i | ||||
\(704\) | 2.37359 | − | 4.52250i | 0.0894581 | − | 0.170448i | ||||
\(705\) | −0.210719 | − | 0.0639835i | −0.00793614 | − | 0.00240976i | ||||
\(706\) | −0.656017 | + | 0.161694i | −0.0246895 | + | 0.00608542i | ||||
\(707\) | −70.1243 | + | 36.8041i | −2.63729 | + | 1.38416i | ||||
\(708\) | 0.0459142 | + | 0.0240976i | 0.00172556 | + | 0.000905645i | ||||
\(709\) | −11.7560 | + | 4.45848i | −0.441507 | + | 0.167442i | −0.565334 | − | 0.824862i | \(-0.691253\pi\) |
0.123827 | + | 0.992304i | \(0.460483\pi\) | |||||||
\(710\) | 2.08990 | − | 1.66202i | 0.0784324 | − | 0.0623746i | ||||
\(711\) | −35.5802 | + | 31.5213i | −1.33436 | + | 1.18214i | ||||
\(712\) | 2.15692 | + | 1.48881i | 0.0808338 | + | 0.0557956i | ||||
\(713\) | −21.0165 | + | 11.0303i | −0.787076 | + | 0.413089i | ||||
\(714\) | 0.0167671 | + | 0.0148544i | 0.000627494 | + | 0.000555912i | ||||
\(715\) | 0.184248 | + | 5.26500i | 0.00689050 | + | 0.196900i | ||||
\(716\) | 26.5542 | − | 23.5250i | 0.992378 | − | 0.879170i | ||||
\(717\) | −0.0812524 | + | 0.214245i | −0.00303443 | + | 0.00800113i | ||||
\(718\) | 1.28671 | + | 0.156235i | 0.0480198 | + | 0.00583065i | ||||
\(719\) | −41.1963 | − | 21.6215i | −1.53636 | − | 0.806345i | −0.537054 | − | 0.843548i | \(-0.680463\pi\) |
−0.999308 | + | 0.0372035i | \(0.988155\pi\) | |||||||
\(720\) | 7.70591 | − | 25.3781i | 0.287182 | − | 0.945788i | ||||
\(721\) | −10.1051 | + | 6.97507i | −0.376335 | + | 0.259765i | ||||
\(722\) | 0.425513 | + | 0.376972i | 0.0158360 | + | 0.0140294i | ||||
\(723\) | 0.0504740 | − | 0.415691i | 0.00187715 | − | 0.0154597i | ||||
\(724\) | −0.877837 | + | 7.22964i | −0.0326246 | + | 0.268688i | ||||
\(725\) | 19.2765 | + | 6.99131i | 0.715910 | + | 0.259651i | ||||
\(726\) | 0.0129034 | − | 0.00489360i | 0.000478888 | − | 0.000181618i | ||||
\(727\) | 3.62351 | − | 2.50113i | 0.134389 | − | 0.0927618i | −0.498974 | − | 0.866617i | \(-0.666290\pi\) |
0.633363 | + | 0.773855i | \(0.281674\pi\) | |||||||
\(728\) | 5.48964 | + | 3.11433i | 0.203460 | + | 0.115425i | ||||
\(729\) | 15.3309 | − | 22.2107i | 0.567813 | − | 0.822619i | ||||
\(730\) | −0.0875919 | − | 0.459098i | −0.00324192 | − | 0.0169920i | ||||
\(731\) | 22.9816 | − | 12.0617i | 0.850004 | − | 0.446117i | ||||
\(732\) | −0.199807 | + | 0.0757768i | −0.00738508 | + | 0.00280079i | ||||
\(733\) | −12.3065 | + | 32.4496i | −0.454551 | + | 1.19855i | 0.490446 | + | 0.871472i | \(0.336834\pi\) |
−0.944997 | + | 0.327080i | \(0.893935\pi\) | |||||||
\(734\) | −0.0868080 | + | 0.0105404i | −0.00320414 | + | 0.000389053i | ||||
\(735\) | 0.590427 | − | 0.112648i | 0.0217782 | − | 0.00415510i | ||||
\(736\) | −2.09769 | + | 3.99682i | −0.0773220 | + | 0.147325i | ||||
\(737\) | −4.65637 | + | 3.21406i | −0.171520 | + | 0.118391i | ||||
\(738\) | −0.445609 | + | 1.80791i | −0.0164031 | + | 0.0665500i | ||||
\(739\) | 4.90270 | + | 19.8910i | 0.180349 | + | 0.731703i | 0.989552 | + | 0.144175i | \(0.0460528\pi\) |
−0.809204 | + | 0.587528i | \(0.800101\pi\) | |||||||
\(740\) | −19.7697 | + | 20.0597i | −0.726750 | + | 0.737410i | ||||
\(741\) | −0.0878144 | − | 0.256560i | −0.00322594 | − | 0.00942498i | ||||
\(742\) | −2.50933 | − | 0.951662i | −0.0921203 | − | 0.0349366i | ||||
\(743\) | −4.06150 | + | 33.4495i | −0.149002 | + | 1.22714i | 0.705884 | + | 0.708328i | \(0.250550\pi\) |
−0.854886 | + | 0.518816i | \(0.826373\pi\) | |||||||
\(744\) | 0.0253782 | + | 0.0133195i | 0.000930410 | + | 0.000488317i | ||||
\(745\) | −0.335419 | − | 4.94726i | −0.0122888 | − | 0.181254i | ||||
\(746\) | − | 0.372565i | − | 0.0136406i | ||||||
\(747\) | 9.79934 | − | 25.8387i | 0.358539 | − | 0.945390i | ||||
\(748\) | −4.33493 | + | 1.06846i | −0.158501 | + | 0.0390669i | ||||
\(749\) | 31.5747 | + | 35.6405i | 1.15371 | + | 1.30227i | ||||
\(750\) | −0.00727490 | + | 0.0126502i | −0.000265642 | + | 0.000461919i | ||||
\(751\) | 0.159044 | − | 0.140901i | 0.00580359 | − | 0.00514153i | −0.660216 | − | 0.751076i | \(-0.729535\pi\) |
0.666019 | + | 0.745934i | \(0.267997\pi\) | |||||||
\(752\) | −3.15081 | − | 25.9493i | −0.114898 | − | 0.946272i | ||||
\(753\) | −0.0748166 | + | 0.00908437i | −0.00272647 | + | 0.000331053i | ||||
\(754\) | 0.941096 | + | 0.890350i | 0.0342727 | + | 0.0324246i | ||||
\(755\) | 8.20992 | + | 25.6867i | 0.298790 | + | 0.934834i | ||||
\(756\) | − | 0.891156i | − | 0.0324110i | ||||||
\(757\) | 46.4969 | − | 5.64574i | 1.68996 | − | 0.205198i | 0.781713 | − | 0.623639i | \(-0.214346\pi\) |
0.908244 | + | 0.418441i | \(0.137423\pi\) | |||||||
\(758\) | 0.805438 | + | 1.53463i | 0.0292548 | + | 0.0557404i | ||||
\(759\) | −0.0392773 | + | 0.0148959i | −0.00142567 | + | 0.000540687i | ||||
\(760\) | −1.59437 | + | 3.61259i | −0.0578339 | + | 0.131043i | ||||
\(761\) | 7.14610 | + | 8.06628i | 0.259046 | + | 0.292402i | 0.863617 | − | 0.504149i | \(-0.168194\pi\) |
−0.604571 | + | 0.796551i | \(0.706655\pi\) | |||||||
\(762\) | −0.00408981 | − | 0.0107840i | −0.000148158 | − | 0.000390661i | ||||
\(763\) | 10.7158 | + | 20.4173i | 0.387939 | + | 0.739156i | ||||
\(764\) | −2.31576 | − | 19.0720i | −0.0837813 | − | 0.690001i | ||||
\(765\) | −20.9077 | + | 9.59342i | −0.755918 | + | 0.346851i | ||||
\(766\) | 0.193481 | − | 1.59346i | 0.00699075 | − | 0.0575740i | ||||
\(767\) | −2.74340 | − | 5.67047i | −0.0990584 | − | 0.204749i | ||||
\(768\) | −0.227587 | + | 0.0276341i | −0.00821234 | + | 0.000997158i | ||||
\(769\) | 11.6967 | − | 1.42024i | 0.421795 | − | 0.0512152i | 0.0931123 | − | 0.995656i | \(-0.470318\pi\) |
0.328683 | + | 0.944440i | \(0.393395\pi\) | |||||||
\(770\) | 0.258676 | − | 0.586118i | 0.00932202 | − | 0.0211222i | ||||
\(771\) | −0.131849 | − | 0.0324979i | −0.00474843 | − | 0.00117038i | ||||
\(772\) | 16.0473 | − | 14.2167i | 0.577556 | − | 0.511670i | ||||
\(773\) | 10.7349 | − | 2.64592i | 0.386108 | − | 0.0951671i | −0.0414834 | − | 0.999139i | \(-0.513208\pi\) |
0.427591 | + | 0.903972i | \(0.359362\pi\) | |||||||
\(774\) | 1.85986 | + | 0.705353i | 0.0668514 | + | 0.0253534i | ||||
\(775\) | −20.8484 | − | 17.9351i | −0.748895 | − | 0.644248i | ||||
\(776\) | −0.251869 | + | 0.664123i | −0.00904156 | + | 0.0238406i | ||||
\(777\) | −0.219033 | + | 0.417332i | −0.00785775 | + | 0.0149717i | ||||
\(778\) | 0.0144401 | − | 0.118925i | 0.000517704 | − | 0.00426368i | ||||
\(779\) | −12.6832 | + | 33.4428i | −0.454422 | + | 1.19821i | ||||
\(780\) | 0.192055 | − | 0.142735i | 0.00687668 | − | 0.00511073i | ||||
\(781\) | 3.15813 | + | 8.32731i | 0.113007 | + | 0.297974i | ||||
\(782\) | 1.25894 | − | 0.310302i | 0.0450198 | − | 0.0110964i | ||||
\(783\) | 0.0877208 | − | 0.355897i | 0.00313489 | − | 0.0127187i | ||||
\(784\) | 40.5299 | + | 58.7178i | 1.44750 | + | 2.09706i | ||||
\(785\) | 33.1590 | + | 1.76357i | 1.18349 | + | 0.0629444i | ||||
\(786\) | −0.00529962 | + | 0.0215014i | −0.000189031 | + | 0.000766929i | ||||
\(787\) | 3.61027 | + | 29.7333i | 0.128692 | + | 1.05988i | 0.903772 | + | 0.428013i | \(0.140786\pi\) |
−0.775080 | + | 0.631863i | \(0.782291\pi\) | |||||||
\(788\) | −17.7861 | + | 46.8980i | −0.633603 | + | 1.67067i | ||||
\(789\) | −0.165163 | − | 0.435498i | −0.00587994 | − | 0.0155041i | ||||
\(790\) | 2.45766 | + | 1.89674i | 0.0874396 | + | 0.0674831i | ||||
\(791\) | 13.9307 | − | 56.5189i | 0.495317 | − | 2.00958i | ||||
\(792\) | −0.564280 | − | 0.389495i | −0.0200508 | − | 0.0138401i | ||||
\(793\) | 24.9887 | + | 7.03368i | 0.887374 | + | 0.249773i | ||||
\(794\) | 1.20516 | + | 1.74597i | 0.0427695 | + | 0.0619623i | ||||
\(795\) | −0.143117 | + | 0.145216i | −0.00507583 | + | 0.00515028i | ||||
\(796\) | −1.65904 | − | 4.37454i | −0.0588033 | − | 0.155051i | ||||
\(797\) | 44.3930 | + | 5.39029i | 1.57248 | + | 0.190934i | 0.859829 | − | 0.510582i | \(-0.170570\pi\) |
0.712654 | + | 0.701516i | \(0.247493\pi\) | |||||||
\(798\) | −0.00397493 | + | 0.0327365i | −0.000140711 | + | 0.00115886i | ||||
\(799\) | −15.0342 | + | 16.9701i | −0.531873 | + | 0.600361i | ||||
\(800\) | −5.20055 | − | 0.554755i | −0.183867 | − | 0.0196135i | ||||
\(801\) | −14.9045 | + | 16.8237i | −0.526625 | + | 0.594437i | ||||
\(802\) | 0.333373 | − | 0.635189i | 0.0117718 | − | 0.0224293i | ||||
\(803\) | 1.54750 | + | 0.187901i | 0.0546103 | + | 0.00663089i | ||||
\(804\) | 0.240288 | + | 0.0911291i | 0.00847429 | + | 0.00321388i | ||||
\(805\) | 19.4975 | − | 44.1781i | 0.687195 | − | 1.55707i | ||||
\(806\) | −0.756722 | − | 1.56411i | −0.0266544 | − | 0.0550934i | ||||
\(807\) | −0.0429403 | + | 0.0484696i | −0.00151157 | + | 0.00170621i | ||||
\(808\) | 4.90140 | − | 2.57245i | 0.172431 | − | 0.0904986i | ||||
\(809\) | −21.5241 | + | 31.1831i | −0.756748 | + | 1.09634i | 0.235477 | + | 0.971880i | \(0.424335\pi\) |
−0.992225 | + | 0.124459i | \(0.960281\pi\) | |||||||
\(810\) | −1.61276 | − | 0.711769i | −0.0566665 | − | 0.0250090i | ||||
\(811\) | 3.28273 | + | 13.3185i | 0.115272 | + | 0.467677i | 0.999999 | + | 0.00156720i | \(0.000498854\pi\) |
−0.884727 | + | 0.466110i | \(0.845655\pi\) | |||||||
\(812\) | 14.4995 | + | 38.2320i | 0.508832 | + | 1.34168i | ||||
\(813\) | −0.0210424 | − | 0.0110439i | −0.000737989 | − | 0.000387327i | ||||
\(814\) | 0.168205 | + | 0.320488i | 0.00589559 | + | 0.0112331i | ||||
\(815\) | −16.1368 | − | 20.2910i | −0.565247 | − | 0.710764i | ||||
\(816\) | 0.151203 | + | 0.133954i | 0.00529315 | + | 0.00468932i | ||||
\(817\) | 33.8321 | + | 17.7565i | 1.18364 | + | 0.621220i | ||||
\(818\) | 0.0924902 | + | 0.176225i | 0.00323384 | + | 0.00616158i | ||||
\(819\) | −32.1884 | + | 43.5163i | −1.12475 | + | 1.52058i | ||||
\(820\) | −31.5170 | − | 1.67624i | −1.10062 | − | 0.0585368i | ||||
\(821\) | −4.39545 | + | 3.03396i | −0.153402 | + | 0.105886i | −0.642293 | − | 0.766459i | \(-0.722017\pi\) |
0.488891 | + | 0.872345i | \(0.337402\pi\) | |||||||
\(822\) | − | 0.00746818i | − | 0.000260483i | ||||||
\(823\) | − | 33.7922i | − | 1.17792i | −0.808162 | − | 0.588961i | \(-0.799537\pi\) | ||
0.808162 | − | 0.588961i | \(-0.200463\pi\) | |||||||
\(824\) | 0.706308 | − | 0.487529i | 0.0246054 | − | 0.0169839i | ||||
\(825\) | −0.0328026 | − | 0.0359579i | −0.00114204 | − | 0.00125189i | ||||
\(826\) | 0.766043i | 0.0266540i | ||||||||
\(827\) | −2.38298 | − | 19.6256i | −0.0828645 | − | 0.682450i | −0.973653 | − | 0.228033i | \(-0.926771\pi\) |
0.890789 | − | 0.454417i | \(-0.150153\pi\) | |||||||
\(828\) | −21.2252 | − | 14.6507i | −0.737626 | − | 0.509146i | ||||
\(829\) | −4.07811 | + | 1.00516i | −0.141639 | + | 0.0349108i | −0.309498 | − | 0.950900i | \(-0.600161\pi\) |
0.167859 | + | 0.985811i | \(0.446315\pi\) | |||||||
\(830\) | −1.77756 | − | 0.312392i | −0.0617000 | − | 0.0108433i | ||||
\(831\) | 0.249797 | − | 0.0615693i | 0.00866535 | − | 0.00213582i | ||||
\(832\) | 24.5124 | + | 13.9062i | 0.849815 | + | 0.482109i | ||||
\(833\) | 14.8093 | − | 60.0836i | 0.513111 | − | 2.08177i | ||||
\(834\) | −0.00280412 | − | 0.00316520i | −9.70987e−5 | − | 0.000109602i | ||||
\(835\) | −3.59380 | + | 6.04382i | −0.124369 | + | 0.209155i | ||||
\(836\) | −4.91967 | − | 4.35845i | −0.170150 | − | 0.150740i | ||||
\(837\) | −0.279267 | + | 0.404588i | −0.00965288 | + | 0.0139846i | ||||
\(838\) | 0.152319 | − | 0.220673i | 0.00526179 | − | 0.00762302i | ||||
\(839\) | −2.59970 | − | 4.95331i | −0.0897514 | − | 0.171007i | 0.836442 | − | 0.548055i | \(-0.184632\pi\) |
−0.926194 | + | 0.377048i | \(0.876939\pi\) | |||||||
\(840\) | −0.0572778 | + | 0.0109281i | −0.00197627 | + | 0.000377056i | ||||
\(841\) | −1.46833 | − | 12.0927i | −0.0506319 | − | 0.416991i | ||||
\(842\) | 0.182059 | + | 0.0690461i | 0.00627418 | + | 0.00237948i | ||||
\(843\) | 0.296401 | + | 0.262589i | 0.0102086 | + | 0.00904403i | ||||
\(844\) | 22.0470 | 0.758888 | ||||||||
\(845\) | −29.0688 | + | 0.0658714i | −0.999997 | + | 0.00226604i | ||||
\(846\) | −1.73755 | −0.0597381 | ||||||||
\(847\) | −39.6052 | − | 35.0871i | −1.36085 | − | 1.20561i | ||||
\(848\) | −22.6286 | − | 8.58190i | −0.777070 | − | 0.294704i | ||||
\(849\) | −0.00784618 | − | 0.0646191i | −0.000269280 | − | 0.00221772i | ||||
\(850\) | 0.871346 | + | 1.22386i | 0.0298869 | + | 0.0419779i | ||||
\(851\) | 12.6783 | + | 24.1565i | 0.434607 | + | 0.828074i | ||||
\(852\) | 0.229794 | − | 0.332914i | 0.00787262 | − | 0.0114055i | ||||
\(853\) | −28.1660 | + | 40.8055i | −0.964385 | + | 1.39715i | −0.0471139 | + | 0.998890i | \(0.515002\pi\) |
−0.917271 | + | 0.398263i | \(0.869613\pi\) | |||||||
\(854\) | −2.36299 | − | 2.09343i | −0.0808599 | − | 0.0716356i | ||||
\(855\) | −29.1074 | − | 17.3080i | −0.995452 | − | 0.591920i | ||||
\(856\) | −2.20694 | − | 2.49112i | −0.0754318 | − | 0.0851449i | ||||
\(857\) | 11.6165 | − | 47.1299i | 0.396811 | − | 1.60993i | −0.344515 | − | 0.938781i | \(-0.611956\pi\) |
0.741326 | − | 0.671145i | \(-0.234197\pi\) | |||||||
\(858\) | −0.000995826 | − | 0.00290943i | −3.39969e−5 | − | 9.93262e-5i | ||||
\(859\) | 26.7777 | − | 6.60011i | 0.913643 | − | 0.225193i | 0.245648 | − | 0.969359i | \(-0.420999\pi\) |
0.667994 | + | 0.744166i | \(0.267153\pi\) | |||||||
\(860\) | −5.83589 | + | 33.2071i | −0.199002 | + | 1.13235i | ||||
\(861\) | −0.512819 | + | 0.126399i | −0.0174768 | + | 0.00430765i | ||||
\(862\) | −1.11080 | − | 0.766729i | −0.0378339 | − | 0.0261149i | ||||
\(863\) | −6.30798 | − | 51.9509i | −0.214726 | − | 1.76843i | −0.558624 | − | 0.829421i | \(-0.688671\pi\) |
0.343898 | − | 0.939007i | \(-0.388252\pi\) | |||||||
\(864\) | 0.0934921i | 0.00318067i | ||||||||
\(865\) | 5.66536 | + | 17.7254i | 0.192628 | + | 0.602683i | ||||
\(866\) | −1.15493 | + | 0.797190i | −0.0392461 | + | 0.0270896i | ||||
\(867\) | 0.0780470i | 0.00265061i | ||||||||
\(868\) | − | 54.8401i | − | 1.86139i | ||||||
\(869\) | −8.52158 | + | 5.88202i | −0.289075 | + | 0.199534i | ||||
\(870\) | −0.0119522 | 0.000635683i | −0.000405219 | 2.15517e-5i | ||||||
\(871\) | −16.8846 | − | 26.2592i | −0.572113 | − | 0.889758i | ||||
\(872\) | −0.748993 | − | 1.42709i | −0.0253641 | − | 0.0483272i | ||||
\(873\) | −5.39360 | − | 2.83078i | −0.182546 | − | 0.0958074i | ||||
\(874\) | 1.42877 | + | 1.26578i | 0.0483287 | + | 0.0428155i | ||||
\(875\) | 55.9096 | + | 2.15779i | 1.89009 | + | 0.0729467i | ||||
\(876\) | −0.0329049 | − | 0.0626950i | −0.00111175 | − | 0.00211827i | ||||
\(877\) | −0.688316 | − | 0.361256i | −0.0232428 | − | 0.0121987i | 0.453062 | − | 0.891479i | \(-0.350332\pi\) |
−0.476305 | + | 0.879280i | \(0.658024\pi\) | |||||||
\(878\) | −1.20875 | − | 3.18721i | −0.0407933 | − | 0.107563i | ||||
\(879\) | 0.0145980 | + | 0.0592266i | 0.000492380 | + | 0.00199766i | ||||
\(880\) | 2.33268 | − | 5.28549i | 0.0786348 | − | 0.178174i | ||||
\(881\) | 21.6191 | − | 31.3207i | 0.728366 | − | 1.05522i | −0.267426 | − | 0.963578i | \(-0.586173\pi\) |
0.995792 | − | 0.0916418i | \(-0.0292115\pi\) | |||||||
\(882\) | 4.19932 | − | 2.20397i | 0.141398 | − | 0.0742116i | ||||
\(883\) | −26.1745 | + | 29.5449i | −0.880843 | + | 0.994266i | 0.119156 | + | 0.992876i | \(0.461981\pi\) |
−0.999999 | + | 0.00139076i | \(0.999557\pi\) | |||||||
\(884\) | −5.11002 | − | 24.0992i | −0.171869 | − | 0.810544i | ||||
\(885\) | 0.0532429 | + | 0.0234981i | 0.00178974 | + | 0.000789879i | ||||
\(886\) | 2.33180 | + | 0.884334i | 0.0783382 | + | 0.0297098i | ||||
\(887\) | −25.5922 | − | 3.10746i | −0.859302 | − | 0.104338i | −0.320989 | − | 0.947083i | \(-0.604015\pi\) |
−0.538313 | + | 0.842745i | \(0.680938\pi\) | |||||||
\(888\) | 0.0153095 | − | 0.0291698i | 0.000513753 | − | 0.000978875i | ||||
\(889\) | −29.3240 | + | 33.0999i | −0.983495 | + | 1.11014i | ||||
\(890\) | 1.26171 | + | 0.750243i | 0.0422926 | + | 0.0251482i | ||||
\(891\) | 3.89895 | − | 4.40100i | 0.130620 | − | 0.147439i | ||||
\(892\) | −2.86115 | + | 23.5637i | −0.0957984 | + | 0.788971i | ||||
\(893\) | −33.1329 | − | 4.02306i | −1.10875 | − | 0.134627i | ||||
\(894\) | 0.00102637 | + | 0.00270632i | 3.43270e−5 | + | 9.05130e-5i | ||||
\(895\) | 27.9486 | − | 28.3586i | 0.934220 | − | 0.947923i | ||||
\(896\) | −7.89417 | − | 11.4367i | −0.263726 | − | 0.382072i | ||||
\(897\) | −0.0750595 | − | 0.219296i | −0.00250616 | − | 0.00732207i | ||||
\(898\) | 2.14495 | + | 1.48055i | 0.0715779 | + | 0.0494067i | ||||
\(899\) | 5.39818 | − | 21.9013i | 0.180039 | − | 0.730448i | ||||
\(900\) | 6.72819 | − | 29.1154i | 0.224273 | − | 0.970512i | ||||
\(901\) | 7.44334 | + | 19.6265i | 0.247974 | + | 0.653853i | ||||
\(902\) | −0.143829 | + | 0.379246i | −0.00478898 | + | 0.0126275i | ||||
\(903\) | 0.0680094 | + | 0.560108i | 0.00226321 | + | 0.0186392i | ||||
\(904\) | −0.973696 | + | 3.95044i | −0.0323847 | + | 0.131390i | ||||
\(905\) | −0.434108 | + | 8.16219i | −0.0144302 | + | 0.271320i | ||||
\(906\) | −0.00894184 | − | 0.0129545i | −0.000297073 | − | 0.000430384i | ||||
\(907\) | −3.69299 | + | 14.9830i | −0.122624 | + | 0.497504i | 0.877225 | + | 0.480080i | \(0.159392\pi\) |
−0.999848 | + | 0.0174235i | \(0.994454\pi\) | |||||||
\(908\) | 37.6162 | − | 9.27156i | 1.24834 | − | 0.307688i | ||||
\(909\) | 16.8337 | + | 44.3869i | 0.558339 | + | 1.47222i | ||||
\(910\) | 3.18565 | + | 1.53233i | 0.105603 | + | 0.0507964i | ||||
\(911\) | 5.80322 | − | 15.3018i | 0.192269 | − | 0.506972i | −0.803866 | − | 0.594811i | \(-0.797227\pi\) |
0.996135 | + | 0.0878390i | \(0.0279961\pi\) | |||||||
\(912\) | −0.0358451 | + | 0.295211i | −0.00118695 | + | 0.00977542i | ||||
\(913\) | 2.79747 | − | 5.33013i | 0.0925826 | − | 0.176401i | ||||
\(914\) | 0.580004 | − | 1.52934i | 0.0191848 | − | 0.0505862i | ||||
\(915\) | −0.217985 | + | 0.100022i | −0.00720637 | + | 0.00330662i | ||||
\(916\) | −4.47358 | − | 1.69661i | −0.147811 | − | 0.0560574i | ||||
\(917\) | 82.4398 | − | 20.3196i | 2.72240 | − | 0.671012i | ||||
\(918\) | 0.0201020 | − | 0.0178088i | 0.000663465 | − | 0.000587778i | ||||
\(919\) | 12.3685 | + | 3.04856i | 0.407999 | + | 0.100563i | 0.437974 | − | 0.898988i | \(-0.355696\pi\) |
−0.0299742 | + | 0.999551i | \(0.509543\pi\) | |||||||
\(920\) | −1.36279 | + | 3.08787i | −0.0449300 | + | 0.101804i | ||||
\(921\) | −0.515671 | + | 0.0626138i | −0.0169919 | + | 0.00206320i | ||||
\(922\) | −0.120852 | + | 0.0146741i | −0.00398006 | + | 0.000483267i | ||||
\(923\) | −46.4936 | + | 15.9136i | −1.53036 | + | 0.523804i | ||||
\(924\) | 0.0116989 | − | 0.0963491i | 0.000384866 | − | 0.00316965i | ||||
\(925\) | −20.6147 | + | 23.9632i | −0.677806 | + | 0.787905i | ||||
\(926\) | −0.251733 | − | 2.07321i | −0.00827247 | − | 0.0681299i | ||||
\(927\) | 3.42042 | + | 6.51706i | 0.112341 | + | 0.214048i | ||||
\(928\) | −1.52116 | − | 4.01096i | −0.0499344 | − | 0.131666i | ||||
\(929\) | −3.38006 | − | 3.81530i | −0.110896 | − | 0.125176i | 0.690441 | − | 0.723388i | \(-0.257416\pi\) |
−0.801338 | + | 0.598212i | \(0.795878\pi\) | |||||||
\(930\) | 0.0146862 | + | 0.00648156i | 0.000481579 | + | 0.000212539i | ||||
\(931\) | 85.1788 | − | 32.3040i | 2.79162 | − | 1.05872i | ||||
\(932\) | −11.6932 | − | 22.2796i | −0.383025 | − | 0.729793i | ||||
\(933\) | −0.0832953 | + | 0.0101139i | −0.00272696 | + | 0.000331113i | ||||
\(934\) | − | 1.01556i | − | 0.0332302i | ||||||
\(935\) | −4.77301 | + | 1.52554i | −0.156094 | + | 0.0498904i | ||||
\(936\) | 2.24984 | − | 3.04161i | 0.0735382 | − | 0.0994182i | ||||
\(937\) | 1.73894 | − | 0.211146i | 0.0568088 | − | 0.00689784i | −0.0920829 | − | 0.995751i | \(-0.529352\pi\) |
0.148892 | + | 0.988854i | \(0.452429\pi\) | |||||||
\(938\) | 0.457619 | + | 3.76883i | 0.0149418 | + | 0.123057i | ||||
\(939\) | −0.264152 | + | 0.234019i | −0.00862028 | + | 0.00763691i | ||||
\(940\) | −5.51958 | − | 28.9299i | −0.180029 | − | 0.943590i | ||||
\(941\) | −16.4784 | − | 18.6002i | −0.537180 | − | 0.606351i | 0.415773 | − | 0.909468i | \(-0.363511\pi\) |
−0.952953 | + | 0.303118i | \(0.901972\pi\) | |||||||
\(942\) | −0.0188195 | + | 0.00463858i | −0.000613171 | + | 0.000151133i | ||||
\(943\) | −10.8410 | + | 28.5853i | −0.353031 | + | 0.930866i | ||||
\(944\) | 6.90802i | 0.224837i | ||||||||
\(945\) | −0.0676558 | − | 0.997890i | −0.00220084 | − | 0.0324614i | ||||
\(946\) | 0.383661 | + | 0.201361i | 0.0124739 | + | 0.00654680i | ||||
\(947\) | −4.32203 | + | 35.5951i | −0.140447 | + | 1.15669i | 0.736616 | + | 0.676311i | \(0.236422\pi\) |
−0.877063 | + | 0.480375i | \(0.840501\pi\) | |||||||
\(948\) | 0.439748 | + | 0.166774i | 0.0142823 | + | 0.00541658i | ||||
\(949\) | −1.31554 | + | 8.50031i | −0.0427041 | + | 0.275932i | ||||
\(950\) | −0.754080 | + | 2.07916i | −0.0244656 | + | 0.0674567i | ||||
\(951\) | 0.0426703 | + | 0.173120i | 0.00138368 | + | 0.00561381i | ||||
\(952\) | −1.43666 | + | 5.82876i | −0.0465624 | + | 0.188911i | ||||
\(953\) | −23.1518 | + | 15.9805i | −0.749959 | + | 0.517659i | −0.880652 | − | 0.473763i | \(-0.842895\pi\) |
0.130693 | + | 0.991423i | \(0.458280\pi\) | |||||||
\(954\) | −0.747596 | + | 1.42442i | −0.0242043 | + | 0.0461174i | ||||
\(955\) | −4.04106 | − | 21.1805i | −0.130766 | − | 0.685384i | ||||
\(956\) | −30.4207 | + | 3.69375i | −0.983877 | + | 0.119464i | ||||
\(957\) | 0.0141563 | − | 0.0373270i | 0.000457607 | − | 0.00120661i | ||||
\(958\) | 0.513062 | − | 0.194579i | 0.0165763 | − | 0.00628656i | ||||
\(959\) | −25.3543 | + | 13.3070i | −0.818734 | + | 0.429705i | ||||
\(960\) | −0.255758 | + | 0.0487964i | −0.00825454 | + | 0.00157490i | ||||
\(961\) | 0.424423 | − | 0.614883i | 0.0136911 | − | 0.0198349i | ||||
\(962\) | −1.79779 | + | 0.869780i | −0.0579632 | + | 0.0280428i | ||||
\(963\) | 23.4893 | − | 16.2135i | 0.756933 | − | 0.522473i | ||||
\(964\) | 52.3629 | − | 19.8586i | 1.68650 | − | 0.639604i | ||||
\(965\) | 16.8900 | − | 17.1377i | 0.543709 | − | 0.551683i | ||||
\(966\) | −0.00339758 | + | 0.0279816i | −0.000109315 | + | 0.000900293i | ||||
\(967\) | −1.05277 | + | 8.67036i | −0.0338549 | + | 0.278820i | 0.965944 | + | 0.258752i | \(0.0833113\pi\) |
−0.999799 | + | 0.0200679i | \(0.993612\pi\) | |||||||
\(968\) | 2.76824 | + | 2.45245i | 0.0889746 | + | 0.0788246i | ||||
\(969\) | 0.212269 | − | 0.146519i | 0.00681907 | − | 0.00470686i | ||||
\(970\) | −0.115585 | + | 0.380660i | −0.00371121 | + | 0.0122223i | ||||
\(971\) | 19.0603 | + | 10.0036i | 0.611674 | + | 0.321031i | 0.741959 | − | 0.670445i | \(-0.233897\pi\) |
−0.130285 | + | 0.991477i | \(0.541589\pi\) | |||||||
\(972\) | −0.795438 | − | 0.0965836i | −0.0255137 | − | 0.00309792i | ||||
\(973\) | −5.74933 | + | 15.1597i | −0.184315 | + | 0.485999i | ||||
\(974\) | 0.585913 | − | 0.519073i | 0.0187739 | − | 0.0166322i | ||||
\(975\) | 0.204222 | − | 0.174411i | 0.00654033 | − | 0.00558563i | ||||
\(976\) | −21.3090 | − | 18.8781i | −0.682084 | − | 0.604274i | ||||
\(977\) | 8.76979 | − | 4.60274i | 0.280570 | − | 0.147255i | −0.318568 | − | 0.947900i | \(-0.603202\pi\) |
0.599139 | + | 0.800645i | \(0.295510\pi\) | |||||||
\(978\) | 0.0124542 | + | 0.00859650i | 0.000398241 | + | 0.000274886i | ||||
\(979\) | −3.66472 | + | 3.24665i | −0.117125 | + | 0.103764i | ||||
\(980\) | 50.0356 | + | 62.9168i | 1.59833 | + | 2.00980i | ||||
\(981\) | 12.9236 | − | 4.90129i | 0.412620 | − | 0.156486i | ||||
\(982\) | 0.785106 | + | 0.412055i | 0.0250537 | + | 0.0131492i | ||||
\(983\) | 23.2797 | − | 12.2182i | 0.742508 | − | 0.389698i | −0.0506479 | − | 0.998717i | \(-0.516129\pi\) |
0.793156 | + | 0.609018i | \(0.208436\pi\) | |||||||
\(984\) | 0.0358440 | − | 0.00883475i | 0.00114267 | − | 0.000281642i | ||||
\(985\) | −16.3559 | + | 53.8654i | −0.521141 | + | 1.71629i | ||||
\(986\) | −0.572650 | + | 1.09109i | −0.0182369 | + | 0.0347475i | ||||
\(987\) | −0.229044 | − | 0.436407i | −0.00729056 | − | 0.0138910i | ||||
\(988\) | 24.9240 | − | 26.3445i | 0.792938 | − | 0.838131i | ||||
\(989\) | 28.9181 | + | 15.1774i | 0.919542 | + | 0.482613i | ||||
\(990\) | −0.330082 | − | 0.196274i | −0.0104907 | − | 0.00623801i | ||||
\(991\) | −20.9996 | −0.667074 | −0.333537 | − | 0.942737i | \(-0.608242\pi\) | ||||
−0.333537 | + | 0.942737i | \(0.608242\pi\) | |||||||
\(992\) | 5.75333i | 0.182669i | ||||||||
\(993\) | 0.0490076 | + | 0.0709998i | 0.00155521 | + | 0.00225311i | ||||
\(994\) | 5.93248 | + | 0.720333i | 0.188167 | + | 0.0228476i | ||||
\(995\) | −2.18986 | − | 4.77253i | −0.0694233 | − | 0.151299i | ||||
\(996\) | −0.271424 | + | 0.0329568i | −0.00860040 | + | 0.00104428i | ||||
\(997\) | 39.0851 | + | 26.9785i | 1.23784 | + | 0.854418i | 0.993339 | − | 0.115231i | \(-0.0367608\pi\) |
0.244500 | + | 0.969649i | \(0.421376\pi\) | |||||||
\(998\) | −0.430536 | − | 1.74675i | −0.0136284 | − | 0.0552925i | ||||
\(999\) | 0.465036 | + | 0.320991i | 0.0147131 | + | 0.0101557i |
(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 | 845.2.v.a.389.43 | ✓ | 1056 | |
5.4 | even | 2 | inner | 845.2.v.a.389.46 | yes | 1056 | |
169.116 | even | 26 | inner | 845.2.v.a.454.46 | yes | 1056 | |
845.454 | even | 26 | inner | 845.2.v.a.454.43 | yes | 1056 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
845.2.v.a.389.43 | ✓ | 1056 | 1.1 | even | 1 | trivial | |
845.2.v.a.389.46 | yes | 1056 | 5.4 | even | 2 | inner | |
845.2.v.a.454.43 | yes | 1056 | 845.454 | even | 26 | inner | |
845.2.v.a.454.46 | yes | 1056 | 169.116 | even | 26 | inner |