Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(143,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([27, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bb (of order \(36\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 193.2 | ||
Character | \(\chi\) | \(=\) | 950.193 |
Dual form | 950.2.bb.d.507.2 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0871557 | − | 0.996195i | −0.0616284 | − | 0.704416i | ||||
\(3\) | −0.0142429 | + | 0.0305440i | −0.00822315 | + | 0.0176346i | −0.910376 | − | 0.413781i | \(-0.864208\pi\) |
0.902153 | + | 0.431416i | \(0.141986\pi\) | |||||||
\(4\) | −0.984808 | + | 0.173648i | −0.492404 | + | 0.0868241i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.0316692 | + | 0.0115266i | 0.0129289 | + | 0.00470573i | ||||
\(7\) | −2.42021 | − | 0.648494i | −0.914754 | − | 0.245108i | −0.229412 | − | 0.973329i | \(-0.573680\pi\) |
−0.685342 | + | 0.728222i | \(0.740347\pi\) | |||||||
\(8\) | 0.258819 | + | 0.965926i | 0.0915064 | + | 0.341506i | ||||
\(9\) | 1.92763 | + | 2.29726i | 0.642544 | + | 0.765754i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.13265 | − | 1.96182i | 0.341508 | − | 0.591510i | −0.643205 | − | 0.765694i | \(-0.722396\pi\) |
0.984713 | + | 0.174185i | \(0.0557289\pi\) | |||||||
\(12\) | 0.00872262 | − | 0.0325533i | 0.00251800 | − | 0.00939732i | ||||
\(13\) | 1.32944 | − | 0.619927i | 0.368719 | − | 0.171937i | −0.229422 | − | 0.973327i | \(-0.573684\pi\) |
0.598142 | + | 0.801390i | \(0.295906\pi\) | |||||||
\(14\) | −0.435091 | + | 2.46752i | −0.116283 | + | 0.659473i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.939693 | − | 0.342020i | 0.234923 | − | 0.0855050i | ||||
\(17\) | −1.99433 | + | 0.174481i | −0.483697 | + | 0.0423180i | −0.326397 | − | 0.945233i | \(-0.605835\pi\) |
−0.157300 | + | 0.987551i | \(0.550279\pi\) | |||||||
\(18\) | 2.12052 | − | 2.12052i | 0.499811 | − | 0.499811i | ||||
\(19\) | 1.72838 | − | 4.00159i | 0.396518 | − | 0.918027i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.0542785 | − | 0.0646866i | 0.0118445 | − | 0.0141158i | ||||
\(22\) | −2.05307 | − | 0.957361i | −0.437715 | − | 0.204110i | ||||
\(23\) | 2.55260 | − | 3.64549i | 0.532254 | − | 0.760137i | −0.459516 | − | 0.888169i | \(-0.651977\pi\) |
0.991770 | + | 0.128032i | \(0.0408661\pi\) | |||||||
\(24\) | −0.0331896 | − | 0.00585222i | −0.00677480 | − | 0.00119458i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.733436 | − | 1.27035i | −0.143839 | − | 0.249136i | ||||
\(27\) | −0.195283 | + | 0.0523258i | −0.0375821 | + | 0.0100701i | ||||
\(28\) | 2.49605 | + | 0.218376i | 0.471710 | + | 0.0412693i | ||||
\(29\) | 2.41338 | − | 2.02507i | 0.448154 | − | 0.376046i | −0.390596 | − | 0.920562i | \(-0.627731\pi\) |
0.838750 | + | 0.544516i | \(0.183287\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.21213 | − | 1.85453i | 0.576916 | − | 0.333083i | −0.182991 | − | 0.983115i | \(-0.558578\pi\) |
0.759907 | + | 0.650032i | \(0.225244\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | 0.0437894 | + | 0.0625378i | 0.00762276 | + | 0.0108864i | ||||
\(34\) | 0.347635 | + | 1.97154i | 0.0596189 | + | 0.338116i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.29726 | − | 1.92763i | −0.382877 | − | 0.321272i | ||||
\(37\) | −8.01239 | − | 8.01239i | −1.31723 | − | 1.31723i | −0.915960 | − | 0.401269i | \(-0.868569\pi\) |
−0.401269 | − | 0.915960i | \(-0.631431\pi\) | |||||||
\(38\) | −4.13700 | − | 1.37304i | −0.671110 | − | 0.222737i | ||||
\(39\) | 0.0494359i | 0.00791608i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.23073 | + | 3.38141i | 0.192208 | + | 0.528087i | 0.997937 | − | 0.0641969i | \(-0.0204486\pi\) |
−0.805729 | + | 0.592284i | \(0.798226\pi\) | |||||||
\(42\) | −0.0691711 | − | 0.0484341i | −0.0106733 | − | 0.00747355i | ||||
\(43\) | 3.13537 | − | 2.19541i | 0.478139 | − | 0.334797i | −0.309536 | − | 0.950888i | \(-0.600174\pi\) |
0.787675 | + | 0.616091i | \(0.211285\pi\) | |||||||
\(44\) | −0.774781 | + | 2.12869i | −0.116803 | + | 0.320913i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.85409 | − | 2.22516i | −0.568255 | − | 0.328082i | ||||
\(47\) | 0.895748 | − | 10.2384i | 0.130658 | − | 1.49343i | −0.594080 | − | 0.804406i | \(-0.702484\pi\) |
0.724738 | − | 0.689024i | \(-0.241961\pi\) | |||||||
\(48\) | −0.00293729 | + | 0.0335734i | −0.000423961 | + | 0.00484590i | ||||
\(49\) | −0.625296 | − | 0.361015i | −0.0893281 | − | 0.0515736i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.0230757 | − | 0.0634001i | 0.00323125 | − | 0.00887779i | ||||
\(52\) | −1.20159 | + | 0.841363i | −0.166631 | + | 0.116676i | ||||
\(53\) | −0.451332 | − | 0.316026i | −0.0619953 | − | 0.0434095i | 0.542168 | − | 0.840270i | \(-0.317604\pi\) |
−0.604163 | + | 0.796861i | \(0.706493\pi\) | |||||||
\(54\) | 0.0691467 | + | 0.189979i | 0.00940967 | + | 0.0258529i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | − | 2.50559i | − | 0.334823i | ||||||
\(57\) | 0.0976074 | + | 0.109786i | 0.0129284 | + | 0.0145415i | ||||
\(58\) | −2.22770 | − | 2.22770i | −0.292512 | − | 0.292512i | ||||
\(59\) | −3.05382 | − | 2.56246i | −0.397573 | − | 0.333604i | 0.421981 | − | 0.906604i | \(-0.361335\pi\) |
−0.819555 | + | 0.573001i | \(0.805779\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.911575 | + | 5.16980i | 0.116715 | + | 0.661925i | 0.985887 | + | 0.167414i | \(0.0535417\pi\) |
−0.869171 | + | 0.494511i | \(0.835347\pi\) | |||||||
\(62\) | −2.12743 | − | 3.03828i | −0.270183 | − | 0.385862i | ||||
\(63\) | −3.17552 | − | 6.80992i | −0.400078 | − | 0.857969i | ||||
\(64\) | −0.866025 | + | 0.500000i | −0.108253 | + | 0.0625000i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.0584833 | − | 0.0490733i | 0.00719880 | − | 0.00604051i | ||||
\(67\) | 1.37428 | + | 0.120234i | 0.167895 | + | 0.0146889i | 0.170793 | − | 0.985307i | \(-0.445367\pi\) |
−0.00289801 | + | 0.999996i | \(0.500922\pi\) | |||||||
\(68\) | 1.93374 | − | 0.518143i | 0.234500 | − | 0.0628341i | ||||
\(69\) | 0.0749915 | + | 0.129889i | 0.00902791 | + | 0.0156368i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 7.95714 | + | 1.40306i | 0.944339 | + | 0.166513i | 0.624558 | − | 0.780979i | \(-0.285279\pi\) |
0.319782 | + | 0.947491i | \(0.396390\pi\) | |||||||
\(72\) | −1.72008 | + | 2.45653i | −0.202713 | + | 0.289504i | ||||
\(73\) | 3.37102 | + | 1.57193i | 0.394548 | + | 0.183981i | 0.609759 | − | 0.792587i | \(-0.291266\pi\) |
−0.215211 | + | 0.976568i | \(0.569044\pi\) | |||||||
\(74\) | −7.28358 | + | 8.68023i | −0.846699 | + | 1.00906i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.00726 | + | 4.24092i | −0.115540 | + | 0.486467i | ||||
\(77\) | −4.01349 | + | 4.01349i | −0.457380 | + | 0.457380i | ||||
\(78\) | 0.0492478 | − | 0.00430862i | 0.00557622 | − | 0.000487856i | ||||
\(79\) | 11.5411 | − | 4.20061i | 1.29847 | − | 0.472605i | 0.401973 | − | 0.915651i | \(-0.368325\pi\) |
0.896499 | + | 0.443046i | \(0.146102\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.56106 | + | 8.85320i | −0.173451 | + | 0.983689i | ||||
\(82\) | 3.26128 | − | 1.52076i | 0.360148 | − | 0.167940i | ||||
\(83\) | 1.54270 | − | 5.75745i | 0.169334 | − | 0.631962i | −0.828114 | − | 0.560560i | \(-0.810586\pi\) |
0.997448 | − | 0.0714024i | \(-0.0227474\pi\) | |||||||
\(84\) | −0.0422212 | + | 0.0731292i | −0.00460671 | + | 0.00797905i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −2.46032 | − | 2.93210i | −0.265303 | − | 0.316176i | ||||
\(87\) | 0.0274802 | + | 0.102557i | 0.00294618 | + | 0.0109953i | ||||
\(88\) | 2.18812 | + | 0.586305i | 0.233254 | + | 0.0625003i | ||||
\(89\) | −8.99243 | − | 3.27298i | −0.953196 | − | 0.346935i | −0.181832 | − | 0.983330i | \(-0.558203\pi\) |
−0.771364 | + | 0.636394i | \(0.780425\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.61954 | + | 0.638222i | −0.379431 | + | 0.0669038i | ||||
\(92\) | −1.88079 | + | 4.03336i | −0.196086 | + | 0.420507i | ||||
\(93\) | 0.0108946 | + | 0.124525i | 0.00112971 | + | 0.0129127i | ||||
\(94\) | −10.2776 | −1.06005 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.0337016 | 0.00343966 | ||||||||
\(97\) | −0.712763 | − | 8.14692i | −0.0723701 | − | 0.827194i | −0.942464 | − | 0.334308i | \(-0.891497\pi\) |
0.870094 | − | 0.492886i | \(-0.164058\pi\) | |||||||
\(98\) | −0.305143 | + | 0.654382i | −0.0308241 | + | 0.0661025i | ||||
\(99\) | 6.69015 | − | 1.17965i | 0.672385 | − | 0.118560i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −10.3584 | − | 3.77015i | −1.03070 | − | 0.375144i | −0.229352 | − | 0.973344i | \(-0.573661\pi\) |
−0.801347 | + | 0.598200i | \(0.795883\pi\) | |||||||
\(102\) | −0.0651700 | − | 0.0174623i | −0.00645279 | − | 0.00172902i | ||||
\(103\) | 4.51187 | + | 16.8385i | 0.444567 | + | 1.65915i | 0.717076 | + | 0.696995i | \(0.245480\pi\) |
−0.272509 | + | 0.962153i | \(0.587853\pi\) | |||||||
\(104\) | 0.942887 | + | 1.12369i | 0.0924576 | + | 0.110187i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.275487 | + | 0.477158i | −0.0267577 | + | 0.0463457i | ||||
\(107\) | −3.23442 | + | 12.0710i | −0.312683 | + | 1.16695i | 0.613444 | + | 0.789738i | \(0.289784\pi\) |
−0.926127 | + | 0.377211i | \(0.876883\pi\) | |||||||
\(108\) | 0.183229 | − | 0.0854413i | 0.0176313 | − | 0.00822159i | ||||
\(109\) | 3.02363 | − | 17.1478i | 0.289611 | − | 1.64246i | −0.398723 | − | 0.917071i | \(-0.630547\pi\) |
0.688334 | − | 0.725394i | \(-0.258342\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.358851 | − | 0.130611i | 0.0340606 | − | 0.0123970i | ||||
\(112\) | −2.49605 | + | 0.218376i | −0.235855 | + | 0.0206346i | ||||
\(113\) | 2.86466 | − | 2.86466i | 0.269485 | − | 0.269485i | −0.559408 | − | 0.828893i | \(-0.688971\pi\) |
0.828893 | + | 0.559408i | \(0.188971\pi\) | |||||||
\(114\) | 0.100861 | − | 0.106804i | 0.00944652 | − | 0.0100032i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.02507 | + | 2.41338i | −0.188023 | + | 0.224077i | ||||
\(117\) | 3.98680 | + | 1.85908i | 0.368580 | + | 0.171872i | ||||
\(118\) | −2.28655 | + | 3.26553i | −0.210494 | + | 0.300617i | ||||
\(119\) | 4.93986 | + | 0.871030i | 0.452836 | + | 0.0798472i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.93419 | + | 5.08216i | 0.266744 | + | 0.462015i | ||||
\(122\) | 5.07068 | − | 1.35868i | 0.459078 | − | 0.123009i | ||||
\(123\) | −0.120811 | − | 0.0105696i | −0.0108932 | − | 0.000953028i | ||||
\(124\) | −2.84130 | + | 2.38413i | −0.255156 | + | 0.214102i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −6.50724 | + | 3.75696i | −0.579711 | + | 0.334696i | ||||
\(127\) | 1.18157 | + | 2.53389i | 0.104847 | + | 0.224846i | 0.951732 | − | 0.306931i | \(-0.0993021\pi\) |
−0.846884 | + | 0.531777i | \(0.821524\pi\) | |||||||
\(128\) | 0.573576 | + | 0.819152i | 0.0506975 | + | 0.0724035i | ||||
\(129\) | 0.0223998 | + | 0.127036i | 0.00197220 | + | 0.0111849i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.50214 | − | 2.93865i | −0.305984 | − | 0.256751i | 0.476846 | − | 0.878987i | \(-0.341780\pi\) |
−0.782830 | + | 0.622236i | \(0.786224\pi\) | |||||||
\(132\) | −0.0539838 | − | 0.0539838i | −0.00469868 | − | 0.00469868i | ||||
\(133\) | −6.77805 | + | 8.56384i | −0.587732 | + | 0.742579i | ||||
\(134\) | − | 1.37953i | − | 0.119174i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.684707 | − | 1.88122i | −0.0587132 | − | 0.161313i | ||||
\(137\) | 7.07218 | + | 4.95199i | 0.604217 | + | 0.423077i | 0.835251 | − | 0.549868i | \(-0.185322\pi\) |
−0.231034 | + | 0.972946i | \(0.574211\pi\) | |||||||
\(138\) | 0.122859 | − | 0.0860267i | 0.0104584 | − | 0.00732308i | ||||
\(139\) | −1.37577 | + | 3.77990i | −0.116691 | + | 0.320607i | −0.984264 | − | 0.176703i | \(-0.943457\pi\) |
0.867573 | + | 0.497310i | \(0.165679\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.299965 | + | 0.173185i | 0.0252616 | + | 0.0145848i | ||||
\(142\) | 0.704209 | − | 8.04915i | 0.0590959 | − | 0.675470i | ||||
\(143\) | 0.289611 | − | 3.31027i | 0.0242185 | − | 0.276819i | ||||
\(144\) | 2.59709 | + | 1.49943i | 0.216424 | + | 0.124953i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 1.27215 | − | 3.49519i | 0.105284 | − | 0.289264i | ||||
\(147\) | 0.0199329 | − | 0.0139572i | 0.00164404 | − | 0.00115117i | ||||
\(148\) | 9.28200 | + | 6.49933i | 0.762976 | + | 0.534242i | ||||
\(149\) | −3.99086 | − | 10.9648i | −0.326944 | − | 0.898270i | −0.988881 | − | 0.148711i | \(-0.952488\pi\) |
0.661937 | − | 0.749559i | \(-0.269735\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 5.28871i | − | 0.430389i | −0.976571 | − | 0.215195i | \(-0.930961\pi\) | ||
0.976571 | − | 0.215195i | \(-0.0690386\pi\) | |||||||
\(152\) | 4.31257 | + | 0.633802i | 0.349796 | + | 0.0514081i | ||||
\(153\) | −4.24517 | − | 4.24517i | −0.343202 | − | 0.343202i | ||||
\(154\) | 4.34802 | + | 3.64842i | 0.350373 | + | 0.293998i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.00858446 | − | 0.0486849i | −0.000687307 | − | 0.00389791i | ||||
\(157\) | 8.22978 | + | 11.7533i | 0.656808 | + | 0.938019i | 0.999999 | − | 0.00124661i | \(-0.000396810\pi\) |
−0.343191 | + | 0.939266i | \(0.611508\pi\) | |||||||
\(158\) | −5.19049 | − | 11.1310i | −0.412933 | − | 0.885538i | ||||
\(159\) | 0.0160810 | − | 0.00928437i | 0.00127531 | − | 0.000736299i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −8.54191 | + | 7.16751i | −0.673197 | + | 0.564879i | ||||
\(162\) | 8.95557 | + | 0.783511i | 0.703616 | + | 0.0615584i | ||||
\(163\) | −17.0295 | + | 4.56304i | −1.33385 | + | 0.357405i | −0.854150 | − | 0.520026i | \(-0.825922\pi\) |
−0.479703 | + | 0.877431i | \(0.659255\pi\) | |||||||
\(164\) | −1.79921 | − | 3.11632i | −0.140495 | − | 0.243344i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.87000 | − | 1.03504i | −0.455600 | − | 0.0803346i | ||||
\(167\) | −1.37363 | + | 1.96174i | −0.106294 | + | 0.151804i | −0.868775 | − | 0.495207i | \(-0.835092\pi\) |
0.762481 | + | 0.647011i | \(0.223981\pi\) | |||||||
\(168\) | 0.0765308 | + | 0.0356869i | 0.00590448 | + | 0.00275330i | ||||
\(169\) | −6.97315 | + | 8.31027i | −0.536396 | + | 0.639252i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 12.5244 | − | 3.74304i | 0.957764 | − | 0.286238i | ||||
\(172\) | −2.70651 | + | 2.70651i | −0.206369 | + | 0.206369i | ||||
\(173\) | −4.27900 | + | 0.374364i | −0.325326 | + | 0.0284623i | −0.248649 | − | 0.968594i | \(-0.579987\pi\) |
−0.0766770 | + | 0.997056i | \(0.524431\pi\) | |||||||
\(174\) | 0.0997720 | − | 0.0363141i | 0.00756370 | − | 0.00275296i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.393367 | − | 2.23089i | 0.0296511 | − | 0.168160i | ||||
\(177\) | 0.121763 | − | 0.0567791i | 0.00915228 | − | 0.00426778i | ||||
\(178\) | −2.47678 | + | 9.24347i | −0.185643 | + | 0.692828i | ||||
\(179\) | −3.95757 | + | 6.85471i | −0.295802 | + | 0.512345i | −0.975171 | − | 0.221452i | \(-0.928920\pi\) |
0.679369 | + | 0.733797i | \(0.262254\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.27360 | + | 8.66834i | 0.540643 | + | 0.644313i | 0.965332 | − | 0.261026i | \(-0.0840610\pi\) |
−0.424689 | + | 0.905339i | \(0.639617\pi\) | |||||||
\(182\) | 0.951257 | + | 3.55014i | 0.0705118 | + | 0.263154i | ||||
\(183\) | −0.170890 | − | 0.0457898i | −0.0126326 | − | 0.00338488i | ||||
\(184\) | 4.18193 | + | 1.52210i | 0.308296 | + | 0.112211i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.123102 | − | 0.0217062i | 0.00902628 | − | 0.00159158i | ||||
\(187\) | −1.91659 | + | 4.11014i | −0.140155 | + | 0.300563i | ||||
\(188\) | 0.895748 | + | 10.2384i | 0.0653291 | + | 0.746715i | ||||
\(189\) | 0.506558 | 0.0368467 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.14107 | 0.444352 | 0.222176 | − | 0.975007i | \(-0.428684\pi\) | ||||
0.222176 | + | 0.975007i | \(0.428684\pi\) | |||||||
\(192\) | −0.00293729 | − | 0.0335734i | −0.000211981 | − | 0.00242295i | ||||
\(193\) | −6.16774 | + | 13.2268i | −0.443964 | + | 0.952084i | 0.549237 | + | 0.835667i | \(0.314919\pi\) |
−0.993200 | + | 0.116417i | \(0.962859\pi\) | |||||||
\(194\) | −8.05379 | + | 1.42010i | −0.578229 | + | 0.101957i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.678486 | + | 0.246949i | 0.0484633 | + | 0.0176392i | ||||
\(197\) | 17.6627 | + | 4.73270i | 1.25841 | + | 0.337191i | 0.825581 | − | 0.564284i | \(-0.190848\pi\) |
0.432832 | + | 0.901475i | \(0.357514\pi\) | |||||||
\(198\) | −1.75825 | − | 6.56188i | −0.124953 | − | 0.466332i | ||||
\(199\) | 13.7474 | + | 16.3835i | 0.974527 | + | 1.16140i | 0.986877 | + | 0.161473i | \(0.0516244\pi\) |
−0.0123499 | + | 0.999924i | \(0.503931\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.0232462 | + | 0.0402637i | −0.00163966 | + | 0.00283998i | ||||
\(202\) | −2.85301 | + | 10.6476i | −0.200737 | + | 0.749160i | ||||
\(203\) | −7.15414 | + | 3.33603i | −0.502123 | + | 0.234144i | ||||
\(204\) | −0.0117159 | + | 0.0664440i | −0.000820274 | + | 0.00465201i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 16.3812 | − | 5.96227i | 1.14133 | − | 0.415411i | ||||
\(207\) | 13.2951 | − | 1.16317i | 0.924075 | − | 0.0808461i | ||||
\(208\) | 1.03723 | − | 1.03723i | 0.0719193 | − | 0.0719193i | ||||
\(209\) | −5.89271 | − | 7.92318i | −0.407608 | − | 0.548058i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.4174 | − | 12.4150i | 0.717165 | − | 0.854684i | −0.277187 | − | 0.960816i | \(-0.589402\pi\) |
0.994352 | + | 0.106132i | \(0.0338466\pi\) | |||||||
\(212\) | 0.499353 | + | 0.232852i | 0.0342957 | + | 0.0159923i | ||||
\(213\) | −0.156188 | + | 0.223060i | −0.0107018 | + | 0.0152838i | ||||
\(214\) | 12.3070 | + | 2.17005i | 0.841288 | + | 0.148342i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.101086 | − | 0.175086i | −0.00687801 | − | 0.0119131i | ||||
\(217\) | −8.97670 | + | 2.40530i | −0.609378 | + | 0.163282i | ||||
\(218\) | −17.3461 | − | 1.51759i | −1.17483 | − | 0.102784i | ||||
\(219\) | −0.0960263 | + | 0.0805756i | −0.00648885 | + | 0.00544479i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.54317 | + | 1.46830i | −0.171072 | + | 0.0987687i | ||||
\(222\) | −0.161390 | − | 0.346102i | −0.0108318 | − | 0.0232288i | ||||
\(223\) | 8.11099 | + | 11.5837i | 0.543152 | + | 0.775701i | 0.993090 | − | 0.117359i | \(-0.0374427\pi\) |
−0.449938 | + | 0.893060i | \(0.648554\pi\) | |||||||
\(224\) | 0.435091 | + | 2.46752i | 0.0290707 | + | 0.164868i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.10343 | − | 2.60409i | −0.206437 | − | 0.173221i | ||||
\(227\) | 11.9434 | + | 11.9434i | 0.792709 | + | 0.792709i | 0.981934 | − | 0.189225i | \(-0.0605975\pi\) |
−0.189225 | + | 0.981934i | \(0.560598\pi\) | |||||||
\(228\) | −0.115189 | − | 0.0911688i | −0.00762856 | − | 0.00603780i | ||||
\(229\) | 0.954813i | 0.0630958i | 0.999502 | + | 0.0315479i | \(0.0100437\pi\) | ||||
−0.999502 | + | 0.0315479i | \(0.989956\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.0654244 | − | 0.179752i | −0.00430461 | − | 0.0118268i | ||||
\(232\) | 2.58070 | + | 1.80702i | 0.169431 | + | 0.118637i | ||||
\(233\) | 23.6607 | − | 16.5674i | 1.55006 | − | 1.08537i | 0.589332 | − | 0.807891i | \(-0.299391\pi\) |
0.960733 | − | 0.277476i | \(-0.0894978\pi\) | |||||||
\(234\) | 1.50453 | − | 4.13366i | 0.0983541 | − | 0.270226i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 3.45239 | + | 1.99324i | 0.224732 | + | 0.129749i | ||||
\(237\) | −0.0360750 | + | 0.412340i | −0.00234333 | + | 0.0267843i | ||||
\(238\) | 0.437179 | − | 4.99698i | 0.0283381 | − | 0.323906i | ||||
\(239\) | −11.2999 | − | 6.52400i | −0.730929 | − | 0.422002i | 0.0878328 | − | 0.996135i | \(-0.472006\pi\) |
−0.818762 | + | 0.574133i | \(0.805339\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.49546 | + | 12.3512i | −0.289578 | + | 0.795609i | 0.706547 | + | 0.707666i | \(0.250252\pi\) |
−0.996125 | + | 0.0879435i | \(0.971971\pi\) | |||||||
\(242\) | 4.80709 | − | 3.36596i | 0.309011 | − | 0.216372i | ||||
\(243\) | −0.745006 | − | 0.521659i | −0.0477921 | − | 0.0334644i | ||||
\(244\) | −1.79545 | − | 4.93296i | −0.114942 | − | 0.315801i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.121273i | 0.00773205i | ||||||||
\(247\) | −0.182915 | − | 6.39133i | −0.0116386 | − | 0.406670i | ||||
\(248\) | 2.62270 | + | 2.62270i | 0.166541 | + | 0.166541i | ||||
\(249\) | 0.153883 | + | 0.129123i | 0.00975195 | + | 0.00818286i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4.25357 | − | 24.1232i | −0.268483 | − | 1.52264i | −0.758930 | − | 0.651172i | \(-0.774278\pi\) |
0.490447 | − | 0.871471i | \(-0.336833\pi\) | |||||||
\(252\) | 4.30981 | + | 6.15504i | 0.271492 | + | 0.387731i | ||||
\(253\) | −4.26056 | − | 9.13681i | −0.267859 | − | 0.574426i | ||||
\(254\) | 2.42126 | − | 1.39792i | 0.151924 | − | 0.0877131i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 26.5727 | + | 2.32481i | 1.65756 | + | 0.145018i | 0.877139 | − | 0.480237i | \(-0.159449\pi\) |
0.780421 | + | 0.625254i | \(0.215005\pi\) | |||||||
\(258\) | 0.124600 | − | 0.0333865i | 0.00775727 | − | 0.00207855i | ||||
\(259\) | 14.1957 | + | 24.5877i | 0.882078 | + | 1.52780i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 9.30423 | + | 1.64059i | 0.575918 | + | 0.101550i | ||||
\(262\) | −2.62223 | + | 3.74493i | −0.162002 | + | 0.231363i | ||||
\(263\) | −12.0893 | − | 5.63732i | −0.745457 | − | 0.347612i | 0.0124959 | − | 0.999922i | \(-0.496022\pi\) |
−0.757952 | + | 0.652310i | \(0.773800\pi\) | |||||||
\(264\) | −0.0490733 | + | 0.0584833i | −0.00302026 | + | 0.00359940i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 9.12200 | + | 6.00587i | 0.559306 | + | 0.368244i | ||||
\(267\) | 0.228048 | − | 0.228048i | 0.0139563 | − | 0.0139563i | ||||
\(268\) | −1.37428 | + | 0.120234i | −0.0839477 | + | 0.00734447i | ||||
\(269\) | 11.9636 | − | 4.35441i | 0.729436 | − | 0.265493i | 0.0495100 | − | 0.998774i | \(-0.484234\pi\) |
0.679926 | + | 0.733281i | \(0.262012\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.02817 | − | 5.83105i | 0.0624570 | − | 0.354211i | −0.937523 | − | 0.347923i | \(-0.886887\pi\) |
0.999980 | − | 0.00628846i | \(-0.00200169\pi\) | |||||||
\(272\) | −1.81438 | + | 0.846061i | −0.110013 | + | 0.0513000i | ||||
\(273\) | 0.0320589 | − | 0.119645i | 0.00194029 | − | 0.00724127i | ||||
\(274\) | 4.31677 | − | 7.47686i | 0.260786 | − | 0.451694i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −0.0964072 | − | 0.114894i | −0.00580303 | − | 0.00691578i | ||||
\(277\) | 1.48760 | + | 5.55179i | 0.0893811 | + | 0.333575i | 0.996108 | − | 0.0881440i | \(-0.0280936\pi\) |
−0.906727 | + | 0.421719i | \(0.861427\pi\) | |||||||
\(278\) | 3.88543 | + | 1.04110i | 0.233032 | + | 0.0624408i | ||||
\(279\) | 10.4522 | + | 3.80427i | 0.625754 | + | 0.227756i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.50468 | + | 0.617970i | −0.209072 | + | 0.0368650i | −0.277203 | − | 0.960811i | \(-0.589407\pi\) |
0.0681312 | + | 0.997676i | \(0.478296\pi\) | |||||||
\(282\) | 0.146382 | − | 0.313918i | 0.00871694 | − | 0.0186935i | ||||
\(283\) | 2.10050 | + | 24.0089i | 0.124862 | + | 1.42718i | 0.757553 | + | 0.652774i | \(0.226395\pi\) |
−0.632691 | + | 0.774404i | \(0.718050\pi\) | |||||||
\(284\) | −8.07990 | −0.479454 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.32292 | −0.196488 | ||||||||
\(287\) | −0.785810 | − | 8.98185i | −0.0463849 | − | 0.530182i | ||||
\(288\) | 1.26737 | − | 2.71789i | 0.0746808 | − | 0.160153i | ||||
\(289\) | −12.7948 | + | 2.25607i | −0.752636 | + | 0.132710i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.258992 | + | 0.0942652i | 0.0151824 | + | 0.00552592i | ||||
\(292\) | −3.59277 | − | 0.962679i | −0.210251 | − | 0.0563365i | ||||
\(293\) | 4.23639 | + | 15.8104i | 0.247493 | + | 0.923655i | 0.972114 | + | 0.234508i | \(0.0753480\pi\) |
−0.724621 | + | 0.689147i | \(0.757985\pi\) | |||||||
\(294\) | −0.0156413 | − | 0.0186406i | −0.000912221 | − | 0.00108714i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 5.66562 | − | 9.81314i | 0.329307 | − | 0.570377i | ||||
\(297\) | −0.118534 | + | 0.442375i | −0.00687805 | + | 0.0256692i | ||||
\(298\) | −10.5752 | + | 4.93131i | −0.612607 | + | 0.285663i | ||||
\(299\) | 1.13358 | − | 6.42887i | 0.0655568 | − | 0.371791i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.01197 | + | 3.28009i | −0.519441 | + | 0.189061i | ||||
\(302\) | −5.26859 | + | 0.460941i | −0.303173 | + | 0.0265242i | ||||
\(303\) | 0.262689 | − | 0.262689i | 0.0150911 | − | 0.0150911i | ||||
\(304\) | 0.255525 | − | 4.35140i | 0.0146553 | − | 0.249570i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −3.85903 | + | 4.59901i | −0.220606 | + | 0.262908i | ||||
\(307\) | −17.0189 | − | 7.93605i | −0.971321 | − | 0.452934i | −0.128843 | − | 0.991665i | \(-0.541126\pi\) |
−0.842478 | + | 0.538731i | \(0.818904\pi\) | |||||||
\(308\) | 3.25558 | − | 4.64945i | 0.185504 | − | 0.264927i | ||||
\(309\) | −0.578578 | − | 0.102019i | −0.0329142 | − | 0.00580366i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −13.3331 | − | 23.0937i | −0.756052 | − | 1.30952i | −0.944849 | − | 0.327505i | \(-0.893792\pi\) |
0.188797 | − | 0.982016i | \(-0.439541\pi\) | |||||||
\(312\) | −0.0477514 | + | 0.0127950i | −0.00270339 | + | 0.000724372i | ||||
\(313\) | −26.9533 | − | 2.35811i | −1.52349 | − | 0.133288i | −0.705579 | − | 0.708631i | \(-0.749313\pi\) |
−0.817912 | + | 0.575343i | \(0.804869\pi\) | |||||||
\(314\) | 10.9913 | − | 9.22283i | 0.620278 | − | 0.520475i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −10.6363 | + | 6.14087i | −0.598339 | + | 0.345451i | ||||
\(317\) | −9.24944 | − | 19.8355i | −0.519500 | − | 1.11407i | −0.974666 | − | 0.223665i | \(-0.928198\pi\) |
0.455166 | − | 0.890407i | \(-0.349580\pi\) | |||||||
\(318\) | −0.0106506 | − | 0.0152106i | −0.000597256 | − | 0.000852969i | ||||
\(319\) | −1.23928 | − | 7.02832i | −0.0693865 | − | 0.393510i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.322630 | − | 0.270719i | −0.0180074 | − | 0.0151100i | ||||
\(322\) | 7.88471 | + | 7.88471i | 0.439398 | + | 0.439398i | ||||
\(323\) | −2.74877 | + | 8.28207i | −0.152945 | + | 0.460826i | ||||
\(324\) | − | 8.98978i | − | 0.499432i | ||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 6.02989 | + | 16.5670i | 0.333965 | + | 0.917561i | ||||
\(327\) | 0.480699 | + | 0.336589i | 0.0265827 | + | 0.0186134i | ||||
\(328\) | −2.94765 | + | 2.06397i | −0.162757 | + | 0.113964i | ||||
\(329\) | −8.80747 | + | 24.1983i | −0.485571 | + | 1.33410i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.54135 | + | 3.19930i | 0.304580 | + | 0.175850i | 0.644499 | − | 0.764605i | \(-0.277066\pi\) |
−0.339918 | + | 0.940455i | \(0.610399\pi\) | |||||||
\(332\) | −0.519496 | + | 5.93787i | −0.0285111 | + | 0.325883i | ||||
\(333\) | 2.96162 | − | 33.8515i | 0.162296 | − | 1.85505i | ||||
\(334\) | 2.07400 | + | 1.19742i | 0.113484 | + | 0.0655200i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0.0288810 | − | 0.0793498i | 0.00157559 | − | 0.00432889i | ||||
\(337\) | −22.2434 | + | 15.5750i | −1.21168 | + | 0.848425i | −0.991887 | − | 0.127122i | \(-0.959426\pi\) |
−0.219789 | + | 0.975547i | \(0.570537\pi\) | |||||||
\(338\) | 8.88640 | + | 6.22232i | 0.483356 | + | 0.338450i | ||||
\(339\) | 0.0466972 | + | 0.128299i | 0.00253624 | + | 0.00696827i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 8.40215i | − | 0.455002i | ||||||
\(342\) | −4.82037 | − | 12.1505i | −0.260656 | − | 0.657024i | ||||
\(343\) | 13.6813 | + | 13.6813i | 0.738719 | + | 0.738719i | ||||
\(344\) | 2.93210 | + | 2.46032i | 0.158088 | + | 0.132652i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.745878 | + | 4.23009i | 0.0400987 | + | 0.227411i | ||||
\(347\) | 8.77253 | + | 12.5285i | 0.470934 | + | 0.672564i | 0.982411 | − | 0.186734i | \(-0.0597901\pi\) |
−0.511476 | + | 0.859297i | \(0.670901\pi\) | |||||||
\(348\) | −0.0448716 | − | 0.0962274i | −0.00240537 | − | 0.00515833i | ||||
\(349\) | −12.9778 | + | 7.49275i | −0.694687 | + | 0.401078i | −0.805366 | − | 0.592778i | \(-0.798031\pi\) |
0.110678 | + | 0.993856i | \(0.464698\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.227178 | + | 0.190625i | −0.0121258 | + | 0.0101748i | ||||
\(352\) | −2.25669 | − | 0.197435i | −0.120282 | − | 0.0105233i | ||||
\(353\) | −17.7025 | + | 4.74337i | −0.942209 | + | 0.252464i | −0.697053 | − | 0.717020i | \(-0.745506\pi\) |
−0.245156 | + | 0.969484i | \(0.578839\pi\) | |||||||
\(354\) | −0.0671754 | − | 0.116351i | −0.00357033 | − | 0.00618399i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 9.42417 | + | 1.66173i | 0.499480 | + | 0.0880718i | ||||
\(357\) | −0.0969627 | + | 0.138477i | −0.00513181 | + | 0.00732899i | ||||
\(358\) | 7.17355 | + | 3.34508i | 0.379134 | + | 0.176793i | ||||
\(359\) | 0.238793 | − | 0.284583i | 0.0126030 | − | 0.0150197i | −0.759706 | − | 0.650267i | \(-0.774657\pi\) |
0.772309 | + | 0.635247i | \(0.219102\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −13.0254 | − | 13.8325i | −0.685547 | − | 0.728028i | ||||
\(362\) | 8.00142 | − | 8.00142i | 0.420545 | − | 0.420545i | ||||
\(363\) | −0.197021 | + | 0.0172371i | −0.0103409 | + | 0.000904714i | ||||
\(364\) | 3.45372 | − | 1.25705i | 0.181024 | − | 0.0658874i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −0.0307215 | + | 0.174231i | −0.00160584 | + | 0.00910718i | ||||
\(367\) | −3.35924 | + | 1.56644i | −0.175351 | + | 0.0817674i | −0.508312 | − | 0.861173i | \(-0.669730\pi\) |
0.332961 | + | 0.942941i | \(0.391952\pi\) | |||||||
\(368\) | 1.15183 | − | 4.29868i | 0.0600432 | − | 0.224084i | ||||
\(369\) | −5.39559 | + | 9.34543i | −0.280883 | + | 0.486504i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.887379 | + | 1.05754i | 0.0460704 | + | 0.0549046i | ||||
\(372\) | −0.0323527 | − | 0.120742i | −0.00167741 | − | 0.00626017i | ||||
\(373\) | 18.0426 | + | 4.83451i | 0.934212 | + | 0.250321i | 0.693650 | − | 0.720312i | \(-0.256002\pi\) |
0.240562 | + | 0.970634i | \(0.422668\pi\) | |||||||
\(374\) | 4.26154 | + | 1.55107i | 0.220359 | + | 0.0802041i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 10.1214 | − | 1.78468i | 0.521972 | − | 0.0920378i | ||||
\(377\) | 1.95305 | − | 4.18832i | 0.100587 | − | 0.215710i | ||||
\(378\) | −0.0441495 | − | 0.504631i | −0.00227080 | − | 0.0259554i | ||||
\(379\) | −6.07584 | −0.312095 | −0.156047 | − | 0.987750i | \(-0.549875\pi\) | ||||
−0.156047 | + | 0.987750i | \(0.549875\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.0942241 | −0.00482725 | ||||||||
\(382\) | −0.535229 | − | 6.11770i | −0.0273847 | − | 0.313009i | ||||
\(383\) | 10.4541 | − | 22.4188i | 0.534177 | − | 1.14555i | −0.435282 | − | 0.900294i | \(-0.643351\pi\) |
0.969459 | − | 0.245253i | \(-0.0788709\pi\) | |||||||
\(384\) | −0.0331896 | + | 0.00585222i | −0.00169370 | + | 0.000298645i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 13.7140 | + | 4.99149i | 0.698024 | + | 0.254060i | ||||
\(387\) | 11.0873 | + | 2.97083i | 0.563598 | + | 0.151016i | ||||
\(388\) | 2.11663 | + | 7.89938i | 0.107456 | + | 0.401030i | ||||
\(389\) | −19.6393 | − | 23.4052i | −0.995751 | − | 1.18669i | −0.982402 | − | 0.186779i | \(-0.940195\pi\) |
−0.0133492 | − | 0.999911i | \(-0.504249\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.45466 | + | 7.71570i | −0.225282 | + | 0.390200i | ||||
\(392\) | 0.186875 | − | 0.697428i | 0.00943862 | − | 0.0352254i | ||||
\(393\) | 0.139639 | − | 0.0651146i | 0.00704385 | − | 0.00328460i | ||||
\(394\) | 3.17528 | − | 18.0079i | 0.159968 | − | 0.907226i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −6.38367 | + | 2.32346i | −0.320791 | + | 0.116758i | ||||
\(397\) | −15.6888 | + | 1.37259i | −0.787397 | + | 0.0688883i | −0.473759 | − | 0.880654i | \(-0.657103\pi\) |
−0.313638 | + | 0.949543i | \(0.601548\pi\) | |||||||
\(398\) | 15.1230 | − | 15.1230i | 0.758048 | − | 0.758048i | ||||
\(399\) | −0.165035 | − | 0.329003i | −0.00826208 | − | 0.0164708i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −22.9103 | + | 27.3034i | −1.14408 | + | 1.36347i | −0.222666 | + | 0.974895i | \(0.571476\pi\) |
−0.921418 | + | 0.388572i | \(0.872968\pi\) | |||||||
\(402\) | 0.0421365 | + | 0.0196486i | 0.00210158 | + | 0.000979982i | ||||
\(403\) | 3.12066 | − | 4.45676i | 0.155451 | − | 0.222007i | ||||
\(404\) | 10.8557 | + | 1.91415i | 0.540092 | + | 0.0952327i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.94686 | + | 6.83617i | 0.195880 | + | 0.339273i | ||||
\(407\) | −24.7941 | + | 6.64356i | −1.22900 | + | 0.329309i | ||||
\(408\) | 0.0672122 | + | 0.00588031i | 0.00332750 | + | 0.000291119i | ||||
\(409\) | −20.5222 | + | 17.2202i | −1.01476 | + | 0.851482i | −0.988960 | − | 0.148186i | \(-0.952657\pi\) |
−0.0257968 | + | 0.999667i | \(0.508212\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.251982 | + | 0.145482i | −0.0124294 | + | 0.00717610i | ||||
\(412\) | −7.36730 | − | 15.7992i | −0.362961 | − | 0.778372i | ||||
\(413\) | 5.72915 | + | 8.18208i | 0.281913 | + | 0.402614i | ||||
\(414\) | −2.31749 | − | 13.1432i | −0.113899 | − | 0.645951i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.12369 | − | 0.942887i | −0.0550934 | − | 0.0462288i | ||||
\(417\) | −0.0958585 | − | 0.0958585i | −0.00469421 | − | 0.00469421i | ||||
\(418\) | −7.37945 | + | 6.56084i | −0.360941 | + | 0.320901i | ||||
\(419\) | − | 0.718949i | − | 0.0351229i | −0.999846 | − | 0.0175615i | \(-0.994410\pi\) | ||
0.999846 | − | 0.0175615i | \(-0.00559028\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.15540 | + | 16.9118i | 0.299996 | + | 0.824231i | 0.994499 | + | 0.104742i | \(0.0334017\pi\) |
−0.694504 | + | 0.719489i | \(0.744376\pi\) | |||||||
\(422\) | −13.2757 | − | 9.29575i | −0.646251 | − | 0.452510i | ||||
\(423\) | 25.2471 | − | 17.6782i | 1.22755 | − | 0.859543i | ||||
\(424\) | 0.188445 | − | 0.517747i | 0.00915167 | − | 0.0251440i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0.235823 | + | 0.136153i | 0.0114257 | + | 0.00659662i | ||||
\(427\) | 1.14638 | − | 13.1032i | 0.0554771 | − | 0.634106i | ||||
\(428\) | 1.08917 | − | 12.4493i | 0.0526471 | − | 0.601759i | ||||
\(429\) | 0.0969841 | + | 0.0559938i | 0.00468244 | + | 0.00270341i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 6.61722 | − | 18.1807i | 0.318740 | − | 0.875731i | −0.672072 | − | 0.740486i | \(-0.734595\pi\) |
0.990812 | − | 0.135246i | \(-0.0431823\pi\) | |||||||
\(432\) | −0.165609 | + | 0.115961i | −0.00796787 | + | 0.00557916i | ||||
\(433\) | 29.9536 | + | 20.9737i | 1.43948 | + | 1.00793i | 0.993614 | + | 0.112832i | \(0.0359922\pi\) |
0.445864 | + | 0.895101i | \(0.352897\pi\) | |||||||
\(434\) | 3.17852 | + | 8.73290i | 0.152574 | + | 0.419193i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 17.4124i | 0.833901i | ||||||||
\(437\) | −10.1759 | − | 16.5152i | −0.486778 | − | 0.790031i | ||||
\(438\) | 0.0886382 | + | 0.0886382i | 0.00423530 | + | 0.00423530i | ||||
\(439\) | 3.19469 | + | 2.68066i | 0.152474 | + | 0.127941i | 0.715834 | − | 0.698271i | \(-0.246047\pi\) |
−0.563359 | + | 0.826212i | \(0.690491\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.375995 | − | 2.13238i | −0.0179045 | − | 0.101542i | ||||
\(442\) | 1.68437 | + | 2.40552i | 0.0801171 | + | 0.114419i | ||||
\(443\) | −16.1962 | − | 34.7328i | −0.769504 | − | 1.65021i | −0.759716 | − | 0.650255i | \(-0.774662\pi\) |
−0.00978754 | − | 0.999952i | \(-0.503116\pi\) | |||||||
\(444\) | −0.330719 | + | 0.190940i | −0.0156952 | + | 0.00906163i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 10.8327 | − | 9.08971i | 0.512943 | − | 0.430410i | ||||
\(447\) | 0.391750 | + | 0.0342737i | 0.0185292 | + | 0.00162109i | ||||
\(448\) | 2.42021 | − | 0.648494i | 0.114344 | − | 0.0306385i | ||||
\(449\) | 12.0948 | + | 20.9488i | 0.570788 | + | 0.988633i | 0.996485 | + | 0.0837679i | \(0.0266954\pi\) |
−0.425698 | + | 0.904866i | \(0.639971\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.02769 | + | 1.41550i | 0.378009 | + | 0.0666532i | ||||
\(452\) | −2.32370 | + | 3.31858i | −0.109298 | + | 0.156093i | ||||
\(453\) | 0.161539 | + | 0.0753267i | 0.00758974 | + | 0.00353915i | ||||
\(454\) | 10.8570 | − | 12.9388i | 0.509543 | − | 0.607250i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −0.0807825 | + | 0.122696i | −0.00378299 | + | 0.00574578i | ||||
\(457\) | 1.31749 | − | 1.31749i | 0.0616295 | − | 0.0616295i | −0.675620 | − | 0.737250i | \(-0.736124\pi\) |
0.737250 | + | 0.675620i | \(0.236124\pi\) | |||||||
\(458\) | 0.951180 | − | 0.0832175i | 0.0444457 | − | 0.00388850i | ||||
\(459\) | 0.380328 | − | 0.138428i | 0.0177522 | − | 0.00646128i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −6.34841 | + | 36.0036i | −0.295675 | + | 1.67686i | 0.368772 | + | 0.929520i | \(0.379778\pi\) |
−0.664447 | + | 0.747335i | \(0.731333\pi\) | |||||||
\(462\) | −0.173366 | + | 0.0808418i | −0.00806571 | + | 0.00376110i | ||||
\(463\) | 0.119756 | − | 0.446936i | 0.00556554 | − | 0.0207709i | −0.963087 | − | 0.269190i | \(-0.913244\pi\) |
0.968653 | + | 0.248419i | \(0.0799109\pi\) | |||||||
\(464\) | 1.57522 | − | 2.72837i | 0.0731280 | − | 0.126661i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −18.5665 | − | 22.1267i | −0.860078 | − | 1.02500i | ||||
\(467\) | −9.09391 | − | 33.9389i | −0.420816 | − | 1.57051i | −0.772893 | − | 0.634536i | \(-0.781191\pi\) |
0.352077 | − | 0.935971i | \(-0.385475\pi\) | |||||||
\(468\) | −4.24906 | − | 1.13853i | −0.196413 | − | 0.0526286i | ||||
\(469\) | −3.24809 | − | 1.18221i | −0.149983 | − | 0.0545892i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.476211 | + | 0.0839688i | −0.0219426 | + | 0.00386908i | ||||
\(472\) | 1.68476 | − | 3.61298i | 0.0775473 | − | 0.166301i | ||||
\(473\) | −0.755697 | − | 8.63765i | −0.0347470 | − | 0.397160i | ||||
\(474\) | 0.413915 | 0.0190117 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −5.01606 | −0.229911 | ||||||||
\(477\) | −0.144007 | − | 1.64601i | −0.00659364 | − | 0.0753657i | ||||
\(478\) | −5.51432 | + | 11.8255i | −0.252219 | + | 0.540886i | ||||
\(479\) | −32.9500 | + | 5.80997i | −1.50552 | + | 0.265464i | −0.864725 | − | 0.502245i | \(-0.832508\pi\) |
−0.640798 | + | 0.767709i | \(0.721397\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.6191 | − | 5.68487i | −0.712168 | − | 0.259208i | ||||
\(482\) | 12.6960 | + | 3.40188i | 0.578286 | + | 0.154951i | ||||
\(483\) | −0.0972630 | − | 0.362991i | −0.00442562 | − | 0.0165166i | ||||
\(484\) | −3.77212 | − | 4.49544i | −0.171460 | − | 0.204338i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −0.454742 | + | 0.787636i | −0.0206275 | + | 0.0357279i | ||||
\(487\) | 0.995535 | − | 3.71539i | 0.0451120 | − | 0.168360i | −0.939695 | − | 0.342014i | \(-0.888891\pi\) |
0.984807 | + | 0.173654i | \(0.0555575\pi\) | |||||||
\(488\) | −4.75771 | + | 2.21856i | −0.215371 | + | 0.100429i | ||||
\(489\) | 0.103176 | − | 0.585140i | 0.00466578 | − | 0.0264610i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −16.2992 | + | 5.93241i | −0.735571 | + | 0.267726i | −0.682521 | − | 0.730866i | \(-0.739116\pi\) |
−0.0530499 | + | 0.998592i | \(0.516894\pi\) | |||||||
\(492\) | 0.120811 | − | 0.0105696i | 0.00544658 | − | 0.000476514i | ||||
\(493\) | −4.45975 | + | 4.45975i | −0.200857 | + | 0.200857i | ||||
\(494\) | −6.35106 | + | 0.739260i | −0.285748 | + | 0.0332609i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.38413 | − | 2.84130i | 0.107051 | − | 0.127578i | ||||
\(497\) | −18.3481 | − | 8.55586i | −0.823025 | − | 0.383783i | ||||
\(498\) | 0.115220 | − | 0.164551i | 0.00516314 | − | 0.00737373i | ||||
\(499\) | 23.6560 | + | 4.17119i | 1.05899 | + | 0.186728i | 0.675907 | − | 0.736987i | \(-0.263752\pi\) |
0.383081 | + | 0.923715i | \(0.374863\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.0403551 | − | 0.0698970i | −0.00180293 | − | 0.00312277i | ||||
\(502\) | −23.6607 | + | 6.33986i | −1.05603 | + | 0.282962i | ||||
\(503\) | −37.0567 | − | 3.24204i | −1.65228 | − | 0.144556i | −0.777436 | − | 0.628963i | \(-0.783480\pi\) |
−0.874843 | + | 0.484407i | \(0.839035\pi\) | |||||||
\(504\) | 5.75599 | − | 4.82985i | 0.256392 | − | 0.215139i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −8.73071 | + | 5.04068i | −0.388127 | + | 0.224085i | ||||
\(507\) | −0.154511 | − | 0.331350i | −0.00686209 | − | 0.0147158i | ||||
\(508\) | −1.60362 | − | 2.29021i | −0.0711493 | − | 0.101612i | ||||
\(509\) | −5.03122 | − | 28.5334i | −0.223005 | − | 1.26472i | −0.866463 | − | 0.499241i | \(-0.833612\pi\) |
0.643458 | − | 0.765481i | \(-0.277499\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −7.13919 | − | 5.99049i | −0.315819 | − | 0.265004i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −0.128137 | + | 0.871879i | −0.00565737 | + | 0.0384944i | ||||
\(514\) | − | 26.6742i | − | 1.17655i | ||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −0.0441191 | − | 0.121216i | −0.00194223 | − | 0.00533624i | ||||
\(517\) | −19.0714 | − | 13.3539i | −0.838758 | − | 0.587304i | ||||
\(518\) | 23.2569 | − | 16.2846i | 1.02185 | − | 0.715506i | ||||
\(519\) | 0.0495108 | − | 0.136030i | 0.00217328 | − | 0.00597105i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −19.2902 | − | 11.1372i | −0.845119 | − | 0.487930i | 0.0138821 | − | 0.999904i | \(-0.495581\pi\) |
−0.859001 | + | 0.511974i | \(0.828914\pi\) | |||||||
\(522\) | 0.823427 | − | 9.41182i | 0.0360404 | − | 0.411944i | ||||
\(523\) | 2.87934 | − | 32.9110i | 0.125905 | − | 1.43910i | −0.626000 | − | 0.779823i | \(-0.715309\pi\) |
0.751904 | − | 0.659272i | \(-0.229136\pi\) | |||||||
\(524\) | 3.95923 | + | 2.28586i | 0.172960 | + | 0.0998583i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.56222 | + | 12.5346i | −0.198922 | + | 0.546534i | ||||
\(527\) | −6.08248 | + | 4.25900i | −0.264957 | + | 0.185525i | ||||
\(528\) | 0.0625378 | + | 0.0437894i | 0.00272161 | + | 0.00190569i | ||||
\(529\) | 1.09263 | + | 3.00198i | 0.0475058 | + | 0.130521i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 11.9549i | − | 0.518799i | ||||||
\(532\) | 5.18799 | − | 9.61074i | 0.224928 | − | 0.416678i | ||||
\(533\) | 3.73240 | + | 3.73240i | 0.161668 | + | 0.161668i | ||||
\(534\) | −0.247056 | − | 0.207305i | −0.0106912 | − | 0.00897096i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0.239553 | + | 1.35857i | 0.0103471 | + | 0.0586815i | ||||
\(537\) | −0.153003 | − | 0.218511i | −0.00660257 | − | 0.00942945i | ||||
\(538\) | −5.38054 | − | 11.5386i | −0.231972 | − | 0.497465i | ||||
\(539\) | −1.41649 | + | 0.817811i | −0.0610125 | + | 0.0352256i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.75479 | + | 2.31154i | −0.118438 | + | 0.0993809i | −0.700083 | − | 0.714062i | \(-0.746854\pi\) |
0.581645 | + | 0.813443i | \(0.302409\pi\) | |||||||
\(542\) | −5.89847 | − | 0.516049i | −0.253361 | − | 0.0221662i | ||||
\(543\) | −0.368363 | + | 0.0987027i | −0.0158080 | + | 0.00423574i | ||||
\(544\) | 1.00098 | + | 1.73374i | 0.0429165 | + | 0.0743335i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.121984 | − | 0.0215091i | −0.00522044 | − | 0.000920505i | ||||
\(547\) | −10.4196 | + | 14.8808i | −0.445511 | + | 0.636255i | −0.977610 | − | 0.210427i | \(-0.932515\pi\) |
0.532099 | + | 0.846682i | \(0.321403\pi\) | |||||||
\(548\) | −7.82464 | − | 3.64869i | −0.334252 | − | 0.155864i | ||||
\(549\) | −10.1192 | + | 12.0596i | −0.431877 | + | 0.514691i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.93224 | − | 13.1575i | −0.167519 | − | 0.560527i | ||||
\(552\) | −0.106054 | + | 0.106054i | −0.00451396 | + | 0.00451396i | ||||
\(553\) | −30.6559 | + | 2.68204i | −1.30362 | + | 0.114052i | ||||
\(554\) | 5.40101 | − | 1.96581i | 0.229467 | − | 0.0835192i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.698498 | − | 3.96138i | 0.0296229 | − | 0.168000i | ||||
\(557\) | 36.9623 | − | 17.2358i | 1.56614 | − | 0.730304i | 0.570303 | − | 0.821434i | \(-0.306826\pi\) |
0.995839 | + | 0.0911299i | \(0.0290479\pi\) | |||||||
\(558\) | 2.87883 | − | 10.7439i | 0.121871 | − | 0.454827i | ||||
\(559\) | 2.80728 | − | 4.86236i | 0.118735 | − | 0.205656i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.0982424 | − | 0.117081i | −0.00414780 | − | 0.00494315i | ||||
\(562\) | 0.921072 | + | 3.43749i | 0.0388531 | + | 0.145002i | ||||
\(563\) | 31.4324 | + | 8.42229i | 1.32472 | + | 0.354957i | 0.850743 | − | 0.525581i | \(-0.176152\pi\) |
0.473975 | + | 0.880539i | \(0.342819\pi\) | |||||||
\(564\) | −0.325481 | − | 0.118466i | −0.0137052 | − | 0.00498830i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 23.7344 | − | 4.18502i | 0.997632 | − | 0.175909i | ||||
\(567\) | 9.51934 | − | 20.4143i | 0.399775 | − | 0.857320i | ||||
\(568\) | 0.704209 | + | 8.04915i | 0.0295480 | + | 0.337735i | ||||
\(569\) | 18.2602 | 0.765506 | 0.382753 | − | 0.923851i | \(-0.374976\pi\) | ||||
0.382753 | + | 0.923851i | \(0.374976\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 43.3406 | 1.81375 | 0.906873 | − | 0.421404i | \(-0.138463\pi\) | ||||
0.906873 | + | 0.421404i | \(0.138463\pi\) | |||||||
\(572\) | 0.289611 | + | 3.31027i | 0.0121093 | + | 0.138409i | ||||
\(573\) | −0.0874667 | + | 0.187573i | −0.00365397 | + | 0.00783597i | ||||
\(574\) | −8.87918 | + | 1.56564i | −0.370610 | + | 0.0653485i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −2.81801 | − | 1.02567i | −0.117417 | − | 0.0427363i | ||||
\(577\) | −9.25703 | − | 2.48041i | −0.385375 | − | 0.103261i | 0.0609294 | − | 0.998142i | \(-0.480594\pi\) |
−0.446305 | + | 0.894881i | \(0.647260\pi\) | |||||||
\(578\) | 3.36263 | + | 12.5495i | 0.139867 | + | 0.521990i | ||||
\(579\) | −0.316152 | − | 0.376776i | −0.0131388 | − | 0.0156583i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −7.46734 | + | 12.9338i | −0.309798 | + | 0.536585i | ||||
\(582\) | 0.0713339 | − | 0.266222i | 0.00295689 | − | 0.0110352i | ||||
\(583\) | −1.13119 | + | 0.527482i | −0.0468490 | + | 0.0218461i | ||||
\(584\) | −0.645886 | + | 3.66300i | −0.0267269 | + | 0.151576i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 15.3810 | − | 5.59824i | 0.635385 | − | 0.231261i | ||||
\(587\) | −29.7356 | + | 2.60153i | −1.22732 | + | 0.107376i | −0.682316 | − | 0.731058i | \(-0.739027\pi\) |
−0.545003 | + | 0.838434i | \(0.683471\pi\) | |||||||
\(588\) | −0.0172064 | + | 0.0172064i | −0.000709582 | + | 0.000709582i | ||||
\(589\) | −1.86925 | − | 16.0590i | −0.0770213 | − | 0.661698i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.396123 | + | 0.472081i | −0.0162943 | + | 0.0194188i | ||||
\(592\) | −10.2696 | − | 4.78879i | −0.422077 | − | 0.196818i | ||||
\(593\) | 12.9858 | − | 18.5456i | 0.533261 | − | 0.761575i | −0.458636 | − | 0.888624i | \(-0.651662\pi\) |
0.991896 | + | 0.127049i | \(0.0405505\pi\) | |||||||
\(594\) | 0.451023 | + | 0.0795275i | 0.0185057 | + | 0.00326305i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 5.83424 | + | 10.1052i | 0.238980 | + | 0.413925i | ||||
\(597\) | −0.696222 | + | 0.186552i | −0.0284945 | + | 0.00763507i | ||||
\(598\) | −6.50321 | − | 0.568957i | −0.265936 | − | 0.0232664i | ||||
\(599\) | −11.9367 | + | 10.0161i | −0.487719 | + | 0.409245i | −0.853208 | − | 0.521571i | \(-0.825346\pi\) |
0.365489 | + | 0.930816i | \(0.380902\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.37915 | + | 3.68300i | −0.260211 | + | 0.150233i | −0.624431 | − | 0.781080i | \(-0.714669\pi\) |
0.364220 | + | 0.931313i | \(0.381336\pi\) | |||||||
\(602\) | 4.05305 | + | 8.69179i | 0.165190 | + | 0.354251i | ||||
\(603\) | 2.37290 | + | 3.38886i | 0.0966321 | + | 0.138005i | ||||
\(604\) | 0.918375 | + | 5.20836i | 0.0373681 | + | 0.211925i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.284584 | − | 0.238795i | −0.0115605 | − | 0.00970037i | ||||
\(607\) | 4.74573 | + | 4.74573i | 0.192623 | + | 0.192623i | 0.796829 | − | 0.604205i | \(-0.206509\pi\) |
−0.604205 | + | 0.796829i | \(0.706509\pi\) | |||||||
\(608\) | −4.35711 | + | 0.124698i | −0.176704 | + | 0.00505715i | ||||
\(609\) | − | 0.266031i | − | 0.0107801i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −5.15624 | − | 14.1667i | −0.208599 | − | 0.573122i | ||||
\(612\) | 4.91784 | + | 3.44351i | 0.198792 | + | 0.139196i | ||||
\(613\) | 20.8858 | − | 14.6244i | 0.843571 | − | 0.590675i | −0.0699114 | − | 0.997553i | \(-0.522272\pi\) |
0.913482 | + | 0.406879i | \(0.133383\pi\) | |||||||
\(614\) | −6.42256 | + | 17.6458i | −0.259193 | + | 0.712128i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.91550 | − | 2.83797i | −0.198051 | − | 0.114345i | ||||
\(617\) | 1.71835 | − | 19.6408i | 0.0691782 | − | 0.790710i | −0.879795 | − | 0.475353i | \(-0.842320\pi\) |
0.948973 | − | 0.315357i | \(-0.102124\pi\) | |||||||
\(618\) | −0.0512043 | + | 0.585268i | −0.00205974 | + | 0.0235429i | ||||
\(619\) | −21.3938 | − | 12.3517i | −0.859889 | − | 0.496457i | 0.00408588 | − | 0.999992i | \(-0.498699\pi\) |
−0.863975 | + | 0.503534i | \(0.832033\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.307725 | + | 0.845467i | −0.0123486 | + | 0.0339274i | ||||
\(622\) | −21.8437 | + | 15.2951i | −0.875853 | + | 0.613279i | ||||
\(623\) | 19.6411 | + | 13.7528i | 0.786904 | + | 0.550996i | ||||
\(624\) | 0.0169081 | + | 0.0464546i | 0.000676865 | + | 0.00185967i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 27.0563i | 1.08139i | ||||||||
\(627\) | 0.325935 | − | 0.0671380i | 0.0130166 | − | 0.00268124i | ||||
\(628\) | −10.1457 | − | 10.1457i | −0.404857 | − | 0.404857i | ||||
\(629\) | 17.3774 | + | 14.5814i | 0.692882 | + | 0.581397i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.57225 | − | 37.2731i | −0.261637 | − | 1.48382i | −0.778443 | − | 0.627715i | \(-0.783990\pi\) |
0.516806 | − | 0.856102i | \(-0.327121\pi\) | |||||||
\(632\) | 7.04452 | + | 10.0606i | 0.280216 | + | 0.400190i | ||||
\(633\) | 0.230830 | + | 0.495016i | 0.00917466 | + | 0.0196751i | ||||
\(634\) | −18.9539 | + | 10.9430i | −0.752754 | + | 0.434603i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.0142245 | + | 0.0119358i | −0.000564037 | + | 0.000473284i | ||||
\(637\) | −1.05509 | − | 0.0923088i | −0.0418044 | − | 0.00365741i | ||||
\(638\) | −6.89356 | + | 1.84712i | −0.272919 | + | 0.0731284i | ||||
\(639\) | 12.1153 | + | 20.9842i | 0.479272 | + | 0.830124i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −11.9059 | − | 2.09933i | −0.470255 | − | 0.0829187i | −0.0665013 | − | 0.997786i | \(-0.521184\pi\) |
−0.403754 | + | 0.914868i | \(0.632295\pi\) | |||||||
\(642\) | −0.241569 | + | 0.344997i | −0.00953399 | + | 0.0136159i | ||||
\(643\) | 25.6938 | + | 11.9812i | 1.01326 | + | 0.472493i | 0.857052 | − | 0.515230i | \(-0.172294\pi\) |
0.156213 | + | 0.987723i | \(0.450071\pi\) | |||||||
\(644\) | 7.16751 | − | 8.54191i | 0.282440 | − | 0.336598i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 8.49012 | + | 2.01648i | 0.334039 | + | 0.0793372i | ||||
\(647\) | 5.49556 | − | 5.49556i | 0.216053 | − | 0.216053i | −0.590780 | − | 0.806833i | \(-0.701180\pi\) |
0.806833 | + | 0.590780i | \(0.201180\pi\) | |||||||
\(648\) | −8.95557 | + | 0.783511i | −0.351808 | + | 0.0307792i | ||||
\(649\) | −8.48599 | + | 3.08865i | −0.333104 | + | 0.121240i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.0543868 | − | 0.308443i | 0.00213159 | − | 0.0120888i | ||||
\(652\) | 15.9784 | − | 7.45086i | 0.625763 | − | 0.291798i | ||||
\(653\) | 0.0479315 | − | 0.178883i | 0.00187571 | − | 0.00700023i | −0.964982 | − | 0.262317i | \(-0.915513\pi\) |
0.966857 | + | 0.255317i | \(0.0821799\pi\) | |||||||
\(654\) | 0.293412 | − | 0.508205i | 0.0114733 | − | 0.0198724i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 2.31302 | + | 2.75655i | 0.0903082 | + | 0.107625i | ||||
\(657\) | 2.88694 | + | 10.7742i | 0.112630 | + | 0.420342i | ||||
\(658\) | 24.8739 | + | 6.66493i | 0.969684 | + | 0.259826i | ||||
\(659\) | 39.2370 | + | 14.2811i | 1.52846 | + | 0.556313i | 0.963243 | − | 0.268632i | \(-0.0865716\pi\) |
0.565213 | + | 0.824945i | \(0.308794\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 41.9180 | − | 7.39128i | 1.63042 | − | 0.287487i | 0.717787 | − | 0.696263i | \(-0.245155\pi\) |
0.912635 | + | 0.408776i | \(0.134044\pi\) | |||||||
\(662\) | 2.70417 | − | 5.79910i | 0.105100 | − | 0.225389i | ||||
\(663\) | −0.00862565 | − | 0.0985917i | −0.000334993 | − | 0.00382898i | ||||
\(664\) | 5.96055 | 0.231314 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −33.9808 | −1.31673 | ||||||||
\(667\) | −1.22197 | − | 13.9672i | −0.0473148 | − | 0.540810i | ||||
\(668\) | 1.01211 | − | 2.17047i | 0.0391595 | − | 0.0839779i | ||||
\(669\) | −0.469337 | + | 0.0827567i | −0.0181456 | + | 0.00319956i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 11.1747 | + | 4.06725i | 0.431394 | + | 0.157015i | ||||
\(672\) | −0.0815650 | − | 0.0218553i | −0.00314644 | − | 0.000843086i | ||||
\(673\) | 10.1698 | + | 37.9542i | 0.392017 | + | 1.46303i | 0.826803 | + | 0.562492i | \(0.190157\pi\) |
−0.434786 | + | 0.900534i | \(0.643176\pi\) | |||||||
\(674\) | 17.4544 | + | 20.8013i | 0.672318 | + | 0.801237i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.42414 | − | 9.39489i | 0.208621 | − | 0.361342i | ||||
\(677\) | −8.30083 | + | 30.9791i | −0.319027 | + | 1.19062i | 0.601155 | + | 0.799133i | \(0.294707\pi\) |
−0.920182 | + | 0.391492i | \(0.871959\pi\) | |||||||
\(678\) | 0.123741 | − | 0.0577015i | 0.00475226 | − | 0.00221601i | ||||
\(679\) | −3.55819 | + | 20.1795i | −0.136551 | + | 0.774418i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.534907 | + | 0.194690i | −0.0204977 | + | 0.00746054i | ||||
\(682\) | −8.37018 | + | 0.732296i | −0.320511 | + | 0.0280411i | ||||
\(683\) | 20.5729 | − | 20.5729i | 0.787201 | − | 0.787201i | −0.193833 | − | 0.981035i | \(-0.562092\pi\) |
0.981035 | + | 0.193833i | \(0.0620920\pi\) | |||||||
\(684\) | −11.6841 | + | 5.86101i | −0.446754 | + | 0.224101i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 12.4368 | − | 14.8216i | 0.474839 | − | 0.565891i | ||||
\(687\) | −0.0291639 | − | 0.0135993i | −0.00111267 | − | 0.000518847i | ||||
\(688\) | 2.19541 | − | 3.13537i | 0.0836992 | − | 0.119535i | ||||
\(689\) | −0.795931 | − | 0.140344i | −0.0303225 | − | 0.00534668i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.53645 | − | 6.12530i | −0.134533 | − | 0.233018i | 0.790886 | − | 0.611963i | \(-0.209620\pi\) |
−0.925419 | + | 0.378946i | \(0.876287\pi\) | |||||||
\(692\) | 4.14898 | − | 1.11172i | 0.157721 | − | 0.0422611i | ||||
\(693\) | −16.9566 | − | 1.48351i | −0.644127 | − | 0.0563538i | ||||
\(694\) | 11.7162 | − | 9.83108i | 0.444742 | − | 0.373183i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −0.0919504 | + | 0.0530876i | −0.00348537 | + | 0.00201228i | ||||
\(697\) | −3.04448 | − | 6.52891i | −0.115318 | − | 0.247300i | ||||
\(698\) | 8.59534 | + | 12.2754i | 0.325338 | + | 0.464631i | ||||
\(699\) | 0.169038 | + | 0.958662i | 0.00639360 | + | 0.0362599i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 27.4876 | + | 23.0648i | 1.03819 | + | 0.871145i | 0.991803 | − | 0.127778i | \(-0.0407846\pi\) |
0.0463877 | + | 0.998924i | \(0.485229\pi\) | |||||||
\(702\) | 0.209699 | + | 0.209699i | 0.00791458 | + | 0.00791458i | ||||
\(703\) | −45.9108 | + | 18.2138i | −1.73156 | + | 0.686947i | ||||
\(704\) | 2.26531i | 0.0853771i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.26819 | + | 17.2217i | 0.235907 | + | 0.648148i | ||||
\(707\) | 22.6246 | + | 15.8419i | 0.850885 | + | 0.595796i | ||||
\(708\) | −0.110054 | + | 0.0770604i | −0.00413607 | + | 0.00289611i | ||||
\(709\) | 10.6544 | − | 29.2727i | 0.400134 | − | 1.09936i | −0.562084 | − | 0.827080i | \(-0.690000\pi\) |
0.962218 | − | 0.272279i | \(-0.0877774\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 31.8968 | + | 18.4156i | 1.19622 | + | 0.690641i | ||||
\(712\) | 0.834041 | − | 9.53313i | 0.0312570 | − | 0.357269i | ||||
\(713\) | 1.43863 | − | 16.4437i | 0.0538773 | − | 0.615820i | ||||
\(714\) | 0.146401 | + | 0.0845247i | 0.00547892 | + | 0.00316326i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 2.70714 | − | 7.43779i | 0.101170 | − | 0.277963i | ||||
\(717\) | 0.360213 | − | 0.252224i | 0.0134524 | − | 0.00941946i | ||||
\(718\) | −0.304312 | − | 0.213082i | −0.0113568 | − | 0.00795213i | ||||
\(719\) | −4.66030 | − | 12.8041i | −0.173800 | − | 0.477512i | 0.821955 | − | 0.569552i | \(-0.192883\pi\) |
−0.995755 | + | 0.0920405i | \(0.970661\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 43.6787i | − | 1.62668i | ||||||
\(722\) | −12.6447 | + | 14.1814i | −0.470586 | + | 0.527777i | ||||
\(723\) | −0.313226 | − | 0.313226i | −0.0116490 | − | 0.0116490i | ||||
\(724\) | −8.66834 | − | 7.27360i | −0.322156 | − | 0.270321i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.0343430 | + | 0.194769i | 0.00127459 | + | 0.00722856i | ||||
\(727\) | 26.4965 | + | 37.8409i | 0.982701 | + | 1.40344i | 0.913958 | + | 0.405808i | \(0.133010\pi\) |
0.0687426 | + | 0.997634i | \(0.478101\pi\) | |||||||
\(728\) | −1.55328 | − | 3.33102i | −0.0575684 | − | 0.123456i | ||||
\(729\) | −23.3296 | + | 13.4693i | −0.864059 | + | 0.498865i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −5.86991 | + | 4.92544i | −0.217106 | + | 0.182174i | ||||
\(732\) | 0.176245 | + | 0.0154194i | 0.00651421 | + | 0.000569919i | ||||
\(733\) | −3.07234 | + | 0.823232i | −0.113480 | + | 0.0304068i | −0.315112 | − | 0.949055i | \(-0.602042\pi\) |
0.201632 | + | 0.979461i | \(0.435375\pi\) | |||||||
\(734\) | 1.85326 | + | 3.20993i | 0.0684049 | + | 0.118481i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.38271 | − | 0.772790i | −0.161549 | − | 0.0284854i | ||||
\(737\) | 1.79247 | − | 2.55991i | 0.0660263 | − | 0.0942954i | ||||
\(738\) | 9.78012 | + | 4.56055i | 0.360011 | + | 0.167876i | ||||
\(739\) | 8.50050 | − | 10.1305i | 0.312696 | − | 0.372657i | −0.586690 | − | 0.809811i | \(-0.699569\pi\) |
0.899386 | + | 0.437155i | \(0.144014\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.197822 | + | 0.0854441i | 0.00726718 | + | 0.00313887i | ||||
\(742\) | 0.976172 | − | 0.976172i | 0.0358364 | − | 0.0358364i | ||||
\(743\) | −28.0679 | + | 2.45562i | −1.02971 | + | 0.0900879i | −0.589468 | − | 0.807792i | \(-0.700663\pi\) |
−0.440241 | + | 0.897879i | \(0.645107\pi\) | |||||||
\(744\) | −0.117463 | + | 0.0427529i | −0.00430639 | + | 0.00156740i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 3.24359 | − | 18.3953i | 0.118756 | − | 0.673501i | ||||
\(747\) | 16.2001 | − | 7.55425i | 0.592732 | − | 0.276396i | ||||
\(748\) | 1.17375 | − | 4.38051i | 0.0429167 | − | 0.160167i | ||||
\(749\) | 15.6560 | − | 27.1169i | 0.572056 | − | 0.990831i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 21.1956 | + | 25.2599i | 0.773439 | + | 0.921748i | 0.998617 | − | 0.0525691i | \(-0.0167410\pi\) |
−0.225179 | + | 0.974318i | \(0.572297\pi\) | |||||||
\(752\) | −2.66003 | − | 9.92735i | −0.0970012 | − | 0.362013i | ||||
\(753\) | 0.797403 | + | 0.213664i | 0.0290590 | + | 0.00778633i | ||||
\(754\) | −4.34260 | − | 1.58058i | −0.158148 | − | 0.0575613i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.498862 | + | 0.0879629i | −0.0181434 | + | 0.00319918i | ||||
\(757\) | −17.6731 | + | 37.9001i | −0.642341 | + | 1.37750i | 0.267909 | + | 0.963444i | \(0.413667\pi\) |
−0.910250 | + | 0.414060i | \(0.864110\pi\) | |||||||
\(758\) | 0.529544 | + | 6.05272i | 0.0192339 | + | 0.219845i | ||||
\(759\) | 0.339758 | 0.0123324 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 8.04964 | 0.291799 | 0.145900 | − | 0.989299i | \(-0.453392\pi\) | ||||
0.145900 | + | 0.989299i | \(0.453392\pi\) | |||||||
\(762\) | 0.00821217 | + | 0.0938656i | 0.000297496 | + | 0.00340039i | ||||
\(763\) | −18.4381 | + | 39.5406i | −0.667503 | + | 1.43147i | ||||
\(764\) | −6.04777 | + | 1.06638i | −0.218801 | + | 0.0385805i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −23.2446 | − | 8.46035i | −0.839862 | − | 0.305685i | ||||
\(767\) | −5.64840 | − | 1.51348i | −0.203952 | − | 0.0546487i | ||||
\(768\) | 0.00872262 | + | 0.0325533i | 0.000314750 | + | 0.00117466i | ||||
\(769\) | −6.10714 | − | 7.27821i | −0.220229 | − | 0.262459i | 0.644606 | − | 0.764515i | \(-0.277022\pi\) |
−0.864835 | + | 0.502056i | \(0.832577\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.449482 | + | 0.778526i | −0.0161877 | + | 0.0280379i | ||||
\(772\) | 3.77724 | − | 14.0968i | 0.135946 | − | 0.507356i | ||||
\(773\) | −23.3042 | + | 10.8669i | −0.838195 | + | 0.390857i | −0.793816 | − | 0.608158i | \(-0.791909\pi\) |
−0.0443788 | + | 0.999015i | \(0.514131\pi\) | |||||||
\(774\) | 1.99320 | − | 11.3040i | 0.0716441 | − | 0.406314i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 7.68484 | − | 2.79705i | 0.275870 | − | 0.100408i | ||||
\(777\) | −0.953195 | + | 0.0833937i | −0.0341957 | + | 0.00299173i | ||||
\(778\) | −21.6044 | + | 21.6044i | −0.774557 | + | 0.774557i | ||||
\(779\) | 15.6582 | + | 0.919484i | 0.561012 | + | 0.0329439i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 11.7652 | − | 14.0213i | 0.420993 | − | 0.501720i | ||||
\(782\) | 8.07459 | + | 3.76524i | 0.288747 | + | 0.134645i | ||||
\(783\) | −0.365328 | + | 0.521743i | −0.0130558 | + | 0.0186456i | ||||
\(784\) | −0.711061 | − | 0.125379i | −0.0253950 | − | 0.00447783i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −0.0770372 | − | 0.133432i | −0.00274783 | − | 0.00475937i | ||||
\(787\) | −22.1285 | + | 5.92931i | −0.788795 | + | 0.211357i | −0.630659 | − | 0.776060i | \(-0.717215\pi\) |
−0.158136 | + | 0.987417i | \(0.550549\pi\) | |||||||
\(788\) | −18.2161 | − | 1.59371i | −0.648923 | − | 0.0567734i | ||||
\(789\) | 0.344373 | − | 0.288963i | 0.0122600 | − | 0.0102874i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −8.79080 | + | 5.07537i | −0.312565 | + | 0.180459i | ||||
\(792\) | 2.87100 | + | 6.15687i | 0.102016 | + | 0.218775i | ||||
\(793\) | 4.41678 | + | 6.30781i | 0.156844 | + | 0.223997i | ||||
\(794\) | 2.73473 | + | 15.5094i | 0.0970521 | + | 0.550410i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −16.3835 | − | 13.7474i | −0.580698 | − | 0.487264i | ||||
\(797\) | 10.5852 | + | 10.5852i | 0.374947 | + | 0.374947i | 0.869275 | − | 0.494328i | \(-0.164586\pi\) |
−0.494328 | + | 0.869275i | \(0.664586\pi\) | |||||||
\(798\) | −0.313368 | + | 0.193082i | −0.0110931 | + | 0.00683501i | ||||
\(799\) | 20.5752i | 0.727897i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −9.81522 | − | 26.9671i | −0.346804 | − | 0.952835i | ||||
\(802\) | 29.1963 | + | 20.4434i | 1.03096 | + | 0.721883i | ||||
\(803\) | 6.90204 | − | 4.83286i | 0.243568 | − | 0.170548i | ||||
\(804\) | 0.0159014 | − | 0.0436886i | 0.000560798 | − | 0.00154078i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −4.71179 | − | 2.72035i | −0.165966 | − | 0.0958203i | ||||
\(807\) | −0.0373959 | + | 0.427437i | −0.00131640 | + | 0.0150465i | ||||
\(808\) | 0.960733 | − | 10.9812i | 0.0337985 | − | 0.386318i | ||||
\(809\) | 12.2226 | + | 7.05673i | 0.429724 | + | 0.248101i | 0.699229 | − | 0.714898i | \(-0.253527\pi\) |
−0.269505 | + | 0.962999i | \(0.586860\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.02538 | + | 19.3021i | −0.246695 | + | 0.677788i | 0.753108 | + | 0.657897i | \(0.228554\pi\) |
−0.999802 | + | 0.0198904i | \(0.993668\pi\) | |||||||
\(812\) | 6.46616 | − | 4.52765i | 0.226918 | − | 0.158890i | ||||
\(813\) | 0.163460 | + | 0.114456i | 0.00573278 | + | 0.00401414i | ||||
\(814\) | 8.77923 | + | 24.1207i | 0.307712 | + | 0.845431i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | − | 0.0674690i | − | 0.00236189i | ||||||
\(817\) | −3.36600 | − | 16.3410i | −0.117762 | − | 0.571698i | ||||
\(818\) | 18.9432 | + | 18.9432i | 0.662335 | + | 0.662335i | ||||
\(819\) | −8.44330 | − | 7.08477i | −0.295033 | − | 0.247562i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.47874 | + | 19.7289i | 0.121409 | + | 0.688544i | 0.983376 | + | 0.181580i | \(0.0581212\pi\) |
−0.861967 | + | 0.506964i | \(0.830768\pi\) | |||||||
\(822\) | 0.166890 | + | 0.238344i | 0.00582096 | + | 0.00831320i | ||||
\(823\) | −21.3543 | − | 45.7944i | −0.744364 | − | 1.59629i | −0.801548 | − | 0.597930i | \(-0.795990\pi\) |
0.0571842 | − | 0.998364i | \(-0.481788\pi\) | |||||||
\(824\) | −15.0970 | + | 8.71626i | −0.525929 | + | 0.303645i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 7.65161 | − | 6.42047i | 0.266234 | − | 0.223397i | ||||
\(827\) | 44.4196 | + | 3.88621i | 1.54462 | + | 0.135137i | 0.827362 | − | 0.561669i | \(-0.189841\pi\) |
0.717260 | + | 0.696806i | \(0.245396\pi\) | |||||||
\(828\) | −12.8912 | + | 3.45418i | −0.447999 | + | 0.120041i | ||||
\(829\) | 0.701985 | + | 1.21587i | 0.0243809 | + | 0.0422290i | 0.877958 | − | 0.478737i | \(-0.158905\pi\) |
−0.853578 | + | 0.520966i | \(0.825572\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −0.190762 | − | 0.0336365i | −0.00661746 | − | 0.00116684i | ||||
\(832\) | −0.841363 | + | 1.20159i | −0.0291690 | + | 0.0416577i | ||||
\(833\) | 1.31004 | + | 0.610882i | 0.0453902 | + | 0.0211658i | ||||
\(834\) | −0.0871391 | + | 0.103848i | −0.00301738 | + | 0.00359597i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 7.17904 | + | 6.77955i | 0.248292 | + | 0.234476i | ||||
\(837\) | −0.530234 | + | 0.530234i | −0.0183276 | + | 0.0183276i | ||||
\(838\) | −0.716213 | + | 0.0626605i | −0.0247412 | + | 0.00216457i | ||||
\(839\) | 35.0809 | − | 12.7684i | 1.21113 | − | 0.440815i | 0.344033 | − | 0.938957i | \(-0.388207\pi\) |
0.867095 | + | 0.498143i | \(0.165984\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.31228 | + | 18.7849i | −0.114217 | + | 0.647755i | ||||
\(842\) | 16.3110 | − | 7.60593i | 0.562113 | − | 0.262118i | ||||
\(843\) | 0.0310416 | − | 0.115849i | 0.00106913 | − | 0.00399005i | ||||
\(844\) | −8.10332 | + | 14.0354i | −0.278928 | + | 0.483117i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −19.8113 | − | 23.6102i | −0.681128 | − | 0.811737i | ||||
\(847\) | −3.80560 | − | 14.2027i | −0.130762 | − | 0.488011i | ||||
\(848\) | −0.532201 | − | 0.142603i | −0.0182759 | − | 0.00489700i | ||||
\(849\) | −0.763244 | − | 0.277798i | −0.0261945 | − | 0.00953401i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −49.6615 | + | 8.75667i | −1.70238 | + | 0.300175i | ||||
\(852\) | 0.115081 | − | 0.246793i | 0.00394262 | − | 0.00845498i | ||||
\(853\) | 3.49410 | + | 39.9377i | 0.119636 | + | 1.36744i | 0.784338 | + | 0.620334i | \(0.213003\pi\) |
−0.664702 | + | 0.747108i | \(0.731442\pi\) | |||||||
\(854\) | −13.1532 | −0.450094 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −12.4968 | −0.427133 | ||||||||
\(857\) | 3.36514 | + | 38.4638i | 0.114951 | + | 1.31390i | 0.806356 | + | 0.591430i | \(0.201436\pi\) |
−0.691405 | + | 0.722467i | \(0.743008\pi\) | |||||||
\(858\) | 0.0473280 | − | 0.101495i | 0.00161575 | − | 0.00346499i | ||||
\(859\) | −8.45858 | + | 1.49148i | −0.288603 | + | 0.0508885i | −0.316075 | − | 0.948734i | \(-0.602365\pi\) |
0.0274724 | + | 0.999623i | \(0.491254\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.285534 | + | 0.103926i | 0.00973097 | + | 0.00354178i | ||||
\(862\) | −18.6882 | − | 5.00749i | −0.636523 | − | 0.170556i | ||||
\(863\) | 8.12122 | + | 30.3088i | 0.276450 | + | 1.03172i | 0.954864 | + | 0.297044i | \(0.0960009\pi\) |
−0.678414 | + | 0.734680i | \(0.737332\pi\) | |||||||
\(864\) | 0.129953 | + | 0.154872i | 0.00442110 | + | 0.00526886i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 18.2833 | − | 31.6676i | 0.621291 | − | 1.07611i | ||||
\(867\) | 0.113326 | − | 0.422938i | 0.00384875 | − | 0.0143637i | ||||
\(868\) | 8.42264 | − | 3.92754i | 0.285883 | − | 0.133310i | ||||
\(869\) | 4.83123 | − | 27.3993i | 0.163888 | − | 0.929457i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.90156 | − | 0.692111i | 0.0644319 | − | 0.0234513i | ||||
\(872\) | 17.3461 | − | 1.51759i | 0.587413 | − | 0.0513920i | ||||
\(873\) | 17.3417 | − | 17.3417i | 0.586927 | − | 0.586927i | ||||
\(874\) | −15.5655 | + | 11.5766i | −0.526511 | + | 0.391583i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0.0805756 | − | 0.0960263i | 0.00272240 | − | 0.00324443i | ||||
\(877\) | 49.8867 | + | 23.2626i | 1.68455 | + | 0.785521i | 0.998308 | + | 0.0581520i | \(0.0185208\pi\) |
0.686247 | + | 0.727369i | \(0.259257\pi\) | |||||||
\(878\) | 2.39203 | − | 3.41617i | 0.0807270 | − | 0.115290i | ||||
\(879\) | −0.543253 | − | 0.0957902i | −0.0183235 | − | 0.00323092i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −8.19028 | − | 14.1860i | −0.275938 | − | 0.477938i | 0.694434 | − | 0.719557i | \(-0.255655\pi\) |
−0.970371 | + | 0.241619i | \(0.922322\pi\) | |||||||
\(882\) | −2.09149 | + | 0.560413i | −0.0704242 | + | 0.0188701i | ||||
\(883\) | −14.3824 | − | 1.25830i | −0.484006 | − | 0.0423450i | −0.157458 | − | 0.987526i | \(-0.550330\pi\) |
−0.326548 | + | 0.945181i | \(0.605885\pi\) | |||||||
\(884\) | 2.24957 | − | 1.88761i | 0.0756612 | − | 0.0634873i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −33.1891 | + | 19.1617i | −1.11501 | + | 0.643751i | ||||
\(887\) | 10.6137 | + | 22.7613i | 0.356375 | + | 0.764248i | 0.999999 | − | 0.00109317i | \(-0.000347966\pi\) |
−0.643625 | + | 0.765341i | \(0.722570\pi\) | |||||||
\(888\) | 0.219038 | + | 0.312818i | 0.00735043 | + | 0.0104975i | ||||
\(889\) | −1.21644 | − | 6.89878i | −0.0407981 | − | 0.231378i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 15.6002 | + | 13.0901i | 0.522627 | + | 0.438536i | ||||
\(892\) | −9.99925 | − | 9.99925i | −0.334800 | − | 0.334800i | ||||
\(893\) | −39.4218 | − | 21.2804i | −1.31920 | − | 0.712120i | ||||
\(894\) | − | 0.393247i | − | 0.0131521i | ||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.856961 | − | 2.35448i | −0.0286291 | − | 0.0786577i | ||||
\(897\) | 0.180218 | + | 0.126190i | 0.00601731 | + | 0.00421336i | ||||
\(898\) | 19.8149 | − | 13.8746i | 0.661232 | − | 0.463000i | ||||
\(899\) | 3.99657 | − | 10.9805i | 0.133293 | − | 0.366220i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.955247 | + | 0.551512i | 0.0318239 | + | 0.0183735i | ||||
\(902\) | 0.710453 | − | 8.12051i | 0.0236555 | − | 0.270384i | ||||
\(903\) | 0.0281696 | − | 0.321980i | 0.000937425 | − | 0.0107148i | ||||
\(904\) | 3.50848 | + | 2.02562i | 0.116690 | + | 0.0673712i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0.0609610 | − | 0.167489i | 0.00202529 | − | 0.00556445i | ||||
\(907\) | 21.5559 | − | 15.0936i | 0.715751 | − | 0.501174i | −0.158066 | − | 0.987429i | \(-0.550526\pi\) |
0.873817 | + | 0.486254i | \(0.161637\pi\) | |||||||
\(908\) | −13.8359 | − | 9.68797i | −0.459159 | − | 0.321507i | ||||
\(909\) | −11.3062 | − | 31.0634i | −0.375002 | − | 1.03031i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 18.8117i | − | 0.623259i | −0.950204 | − | 0.311630i | \(-0.899125\pi\) | ||
0.950204 | − | 0.311630i | \(-0.100875\pi\) | |||||||
\(912\) | 0.129270 | + | 0.0697814i | 0.00428056 | + | 0.00231069i | ||||
\(913\) | −9.54771 | − | 9.54771i | −0.315983 | − | 0.315983i | ||||
\(914\) | −1.42730 | − | 1.19765i | −0.0472109 | − | 0.0396147i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.165802 | − | 0.940308i | −0.00547824 | − | 0.0310686i | ||||
\(917\) | 6.57023 | + | 9.38326i | 0.216968 | + | 0.309863i | ||||
\(918\) | −0.171049 | − | 0.366816i | −0.00564547 | − | 0.0121067i | ||||
\(919\) | 44.5039 | − | 25.6944i | 1.46805 | − | 0.847579i | 0.468690 | − | 0.883363i | \(-0.344726\pi\) |
0.999360 | + | 0.0357836i | \(0.0113927\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.484798 | − | 0.406794i | 0.0159746 | − | 0.0134043i | ||||
\(922\) | 36.4199 | + | 3.18633i | 1.19943 | + | 0.104936i | ||||
\(923\) | 11.4483 | − | 3.06757i | 0.376826 | − | 0.100970i | ||||
\(924\) | 0.0956440 | + | 0.165660i | 0.00314646 | + | 0.00544982i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −0.455673 | − | 0.0803474i | −0.0149743 | − | 0.00264038i | ||||
\(927\) | −29.9853 | + | 42.8234i | −0.984846 | + | 1.40651i | ||||
\(928\) | −2.85528 | − | 1.33144i | −0.0937290 | − | 0.0437066i | ||||
\(929\) | −25.5464 | + | 30.4450i | −0.838150 | + | 0.998869i | 0.161777 | + | 0.986827i | \(0.448277\pi\) |
−0.999928 | + | 0.0120414i | \(0.996167\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.52538 | + | 1.87821i | −0.0827661 | + | 0.0615557i | ||||
\(932\) | −20.4243 | + | 20.4243i | −0.669022 | + | 0.669022i | ||||
\(933\) | 0.895276 | − | 0.0783265i | 0.0293100 | − | 0.00256429i | ||||
\(934\) | −33.0172 | + | 12.0173i | −1.08036 | + | 0.393217i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −0.763869 | + | 4.33212i | −0.0249678 | + | 0.141600i | ||||
\(937\) | 48.2472 | − | 22.4980i | 1.57617 | − | 0.734978i | 0.579378 | − | 0.815059i | \(-0.303296\pi\) |
0.996788 | + | 0.0800807i | \(0.0255178\pi\) | |||||||
\(938\) | −0.894619 | + | 3.33876i | −0.0292103 | + | 0.109014i | ||||
\(939\) | 0.455920 | − | 0.789677i | 0.0148784 | − | 0.0257701i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 26.6612 | + | 31.7736i | 0.869131 | + | 1.03579i | 0.999020 | + | 0.0442612i | \(0.0140934\pi\) |
−0.129889 | + | 0.991529i | \(0.541462\pi\) | |||||||
\(942\) | 0.125154 | + | 0.467080i | 0.00407773 | + | 0.0152183i | ||||
\(943\) | 15.4685 | + | 4.14476i | 0.503722 | + | 0.134972i | ||||
\(944\) | −3.74606 | − | 1.36346i | −0.121924 | − | 0.0443767i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −8.53892 | + | 1.50564i | −0.277624 | + | 0.0489527i | ||||
\(947\) | 0.0304341 | − | 0.0652661i | 0.000988975 | − | 0.00212086i | −0.905813 | − | 0.423678i | \(-0.860739\pi\) |
0.906802 | + | 0.421558i | \(0.138516\pi\) | |||||||
\(948\) | −0.0360750 | − | 0.412340i | −0.00117166 | − | 0.0133922i | ||||
\(949\) | 5.45604 | 0.177110 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0.737595 | 0.0239181 | ||||||||
\(952\) | 0.437179 | + | 4.99698i | 0.0141690 | + | 0.161953i | ||||
\(953\) | −17.1783 | + | 36.8390i | −0.556460 | + | 1.19333i | 0.403960 | + | 0.914777i | \(0.367633\pi\) |
−0.960420 | + | 0.278556i | \(0.910144\pi\) | |||||||
\(954\) | −1.62720 | + | 0.286919i | −0.0526824 | + | 0.00928934i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 12.2611 | + | 4.46268i | 0.396552 | + | 0.144333i | ||||
\(957\) | 0.232324 | + | 0.0622511i | 0.00750997 | + | 0.00201229i | ||||
\(958\) | 8.65965 | + | 32.3182i | 0.279780 | + | 1.04415i | ||||
\(959\) | −13.9048 | − | 16.5711i | −0.449011 | − | 0.535110i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.62146 | + | 14.9328i | −0.278112 | + | 0.481703i | ||||
\(962\) | −4.30195 | + | 16.0551i | −0.138700 | + | 0.517637i | ||||
\(963\) | −33.9651 | + | 15.8382i | −1.09451 | + | 0.510378i | ||||
\(964\) | 2.28241 | − | 12.9442i | 0.0735113 | − | 0.416903i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −0.353132 | + | 0.128530i | −0.0113618 | + | 0.00413537i | ||||
\(967\) | −14.9591 | + | 1.30875i | −0.481053 | + | 0.0420867i | −0.325104 | − | 0.945678i | \(-0.605399\pi\) |
−0.155950 | + | 0.987765i | \(0.549844\pi\) | |||||||
\(968\) | −4.14957 | + | 4.14957i | −0.133372 | + | 0.133372i | ||||
\(969\) | −0.213817 | − | 0.201919i | −0.00686880 | − | 0.00648658i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −20.9172 | + | 24.9281i | −0.671265 | + | 0.799982i | −0.988956 | − | 0.148212i | \(-0.952648\pi\) |
0.317691 | + | 0.948194i | \(0.397093\pi\) | |||||||
\(972\) | 0.824273 | + | 0.384365i | 0.0264386 | + | 0.0123285i | ||||
\(973\) | 5.78090 | − | 8.25599i | 0.185327 | − | 0.264675i | ||||
\(974\) | −3.78801 | − | 0.667929i | −0.121376 | − | 0.0214018i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.62478 | + | 4.54625i | 0.0840170 | + | 0.145522i | ||||
\(977\) | 6.14893 | − | 1.64760i | 0.196722 | − | 0.0527114i | −0.159113 | − | 0.987260i | \(-0.550863\pi\) |
0.355834 | + | 0.934549i | \(0.384197\pi\) | |||||||
\(978\) | −0.591906 | − | 0.0517851i | −0.0189271 | − | 0.00165590i | ||||
\(979\) | −16.6063 | + | 13.9343i | −0.530740 | + | 0.445344i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 45.2215 | − | 26.1087i | 1.44381 | − | 0.833586i | ||||
\(982\) | 7.33040 | + | 15.7201i | 0.233923 | + | 0.501648i | ||||
\(983\) | 23.1147 | + | 33.0111i | 0.737243 | + | 1.05289i | 0.996208 | + | 0.0870053i | \(0.0277297\pi\) |
−0.258965 | + | 0.965887i | \(0.583381\pi\) | |||||||
\(984\) | −0.0210588 | − | 0.119430i | −0.000671328 | − | 0.00380729i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 4.83147 | + | 4.05409i | 0.153866 | + | 0.129108i | ||||
\(987\) | −0.613670 | − | 0.613670i | −0.0195333 | − | 0.0195333i | ||||
\(988\) | 1.28998 | + | 6.26246i | 0.0410397 | + | 0.199236i | ||||
\(989\) | − | 17.0340i | − | 0.541648i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.99654 | + | 21.9703i | 0.254019 | + | 0.697910i | 0.999507 | + | 0.0313919i | \(0.00999400\pi\) |
−0.745489 | + | 0.666518i | \(0.767784\pi\) | |||||||
\(992\) | −3.03828 | − | 2.12743i | −0.0964655 | − | 0.0675458i | ||||
\(993\) | −0.176645 | + | 0.123688i | −0.00560565 | + | 0.00392512i | ||||
\(994\) | −6.92416 | + | 19.0240i | −0.219621 | + | 0.603404i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −0.173967 | − | 0.100440i | −0.00551237 | − | 0.00318257i | ||||
\(997\) | 1.72131 | − | 19.6747i | 0.0545146 | − | 0.623105i | −0.918966 | − | 0.394336i | \(-0.870975\pi\) |
0.973481 | − | 0.228768i | \(-0.0734699\pi\) | |||||||
\(998\) | 2.09356 | − | 23.9295i | 0.0662705 | − | 0.757476i | ||||
\(999\) | 1.98394 | + | 1.14543i | 0.0627689 | + | 0.0362397i |
(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 | 950.2.bb.d.193.2 | ✓ | 96 | |
5.2 | odd | 4 | inner | 950.2.bb.d.307.7 | yes | 96 | |
5.3 | odd | 4 | inner | 950.2.bb.d.307.2 | yes | 96 | |
5.4 | even | 2 | inner | 950.2.bb.d.193.7 | yes | 96 | |
19.13 | odd | 18 | inner | 950.2.bb.d.393.7 | yes | 96 | |
95.13 | even | 36 | inner | 950.2.bb.d.507.7 | yes | 96 | |
95.32 | even | 36 | inner | 950.2.bb.d.507.2 | yes | 96 | |
95.89 | odd | 18 | inner | 950.2.bb.d.393.2 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bb.d.193.2 | ✓ | 96 | 1.1 | even | 1 | trivial | |
950.2.bb.d.193.7 | yes | 96 | 5.4 | even | 2 | inner | |
950.2.bb.d.307.2 | yes | 96 | 5.3 | odd | 4 | inner | |
950.2.bb.d.307.7 | yes | 96 | 5.2 | odd | 4 | inner | |
950.2.bb.d.393.2 | yes | 96 | 95.89 | odd | 18 | inner | |
950.2.bb.d.393.7 | yes | 96 | 19.13 | odd | 18 | inner | |
950.2.bb.d.507.2 | yes | 96 | 95.32 | even | 36 | inner | |
950.2.bb.d.507.7 | yes | 96 | 95.13 | even | 36 | inner |