Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(59,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.r (of order \(6\), degree \(2\), 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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 59.13 | ||
Character | \(\chi\) | \(=\) | 630.59 |
Dual form | 630.2.r.b.299.13 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | 0.0618143 | + | 1.73095i | 0.0356885 | + | 0.999363i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | −0.717414 | − | 2.11786i | −0.320837 | − | 0.947134i | ||||
\(6\) | 1.52995 | + | 0.811941i | 0.624600 | + | 0.331474i | ||||
\(7\) | 0.647443 | + | 2.56531i | 0.244711 | + | 0.969596i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −2.99236 | + | 0.213994i | −0.997453 | + | 0.0713315i | ||||
\(10\) | −2.19282 | − | 0.437630i | −0.693432 | − | 0.138391i | ||||
\(11\) | 4.25348i | 1.28247i | 0.767344 | + | 0.641236i | \(0.221578\pi\) | ||||
−0.767344 | + | 0.641236i | \(0.778422\pi\) | |||||||
\(12\) | 1.46814 | − | 0.919006i | 0.423815 | − | 0.265294i | ||||
\(13\) | −1.61256 | + | 2.79304i | −0.447244 | + | 0.774650i | −0.998206 | − | 0.0598809i | \(-0.980928\pi\) |
0.550961 | + | 0.834531i | \(0.314261\pi\) | |||||||
\(14\) | 2.54535 | + | 0.721953i | 0.680272 | + | 0.192950i | ||||
\(15\) | 3.62155 | − | 1.37272i | 0.935081 | − | 0.354435i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 5.68059 | + | 3.27969i | 1.37774 | + | 0.795441i | 0.991888 | − | 0.127117i | \(-0.0405725\pi\) |
0.385857 | + | 0.922559i | \(0.373906\pi\) | |||||||
\(18\) | −1.31085 | + | 2.69846i | −0.308971 | + | 0.636032i | ||||
\(19\) | 2.46906 | − | 1.42551i | 0.566442 | − | 0.327035i | −0.189285 | − | 0.981922i | \(-0.560617\pi\) |
0.755727 | + | 0.654887i | \(0.227284\pi\) | |||||||
\(20\) | −1.47541 | + | 1.68023i | −0.329912 | + | 0.375710i | ||||
\(21\) | −4.40040 | + | 1.27926i | −0.960245 | + | 0.279158i | ||||
\(22\) | 3.68362 | + | 2.12674i | 0.785350 | + | 0.453422i | ||||
\(23\) | 7.51895 | 1.56781 | 0.783904 | − | 0.620882i | \(-0.213225\pi\) | ||||
0.783904 | + | 0.620882i | \(0.213225\pi\) | |||||||
\(24\) | −0.0618143 | − | 1.73095i | −0.0126178 | − | 0.353328i | ||||
\(25\) | −3.97064 | + | 3.03876i | −0.794127 | + | 0.607752i | ||||
\(26\) | 1.61256 | + | 2.79304i | 0.316250 | + | 0.547760i | ||||
\(27\) | −0.555384 | − | 5.16639i | −0.106884 | − | 0.994272i | ||||
\(28\) | 1.89790 | − | 1.84336i | 0.358670 | − | 0.348362i | ||||
\(29\) | 0.0500967 | − | 0.0289233i | 0.00930271 | − | 0.00537092i | −0.495341 | − | 0.868698i | \(-0.664957\pi\) |
0.504644 | + | 0.863327i | \(0.331624\pi\) | |||||||
\(30\) | 0.621966 | − | 3.82272i | 0.113555 | − | 0.697929i | ||||
\(31\) | −8.80647 | + | 5.08442i | −1.58169 | + | 0.913188i | −0.587075 | + | 0.809532i | \(0.699721\pi\) |
−0.994613 | + | 0.103656i | \(0.966946\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | −7.36254 | + | 0.262925i | −1.28165 | + | 0.0457694i | ||||
\(34\) | 5.68059 | − | 3.27969i | 0.974213 | − | 0.562462i | ||||
\(35\) | 4.96848 | − | 3.21158i | 0.839826 | − | 0.542856i | ||||
\(36\) | 1.68150 | + | 2.48446i | 0.280251 | + | 0.414077i | ||||
\(37\) | −0.286737 | + | 0.165548i | −0.0471393 | + | 0.0272159i | −0.523384 | − | 0.852097i | \(-0.675331\pi\) |
0.476245 | + | 0.879313i | \(0.341997\pi\) | |||||||
\(38\) | − | 2.85103i | − | 0.462498i | ||||||
\(39\) | −4.93429 | − | 2.61861i | −0.790118 | − | 0.419313i | ||||
\(40\) | 0.717414 | + | 2.11786i | 0.113433 | + | 0.334863i | ||||
\(41\) | −0.485297 | + | 0.840559i | −0.0757907 | + | 0.131273i | −0.901430 | − | 0.432925i | \(-0.857481\pi\) |
0.825639 | + | 0.564199i | \(0.190815\pi\) | |||||||
\(42\) | −1.09232 | + | 4.45049i | −0.168549 | + | 0.686725i | ||||
\(43\) | 5.85761 | − | 3.38189i | 0.893277 | − | 0.515734i | 0.0182643 | − | 0.999833i | \(-0.494186\pi\) |
0.875013 | + | 0.484099i | \(0.160853\pi\) | |||||||
\(44\) | 3.68362 | − | 2.12674i | 0.555326 | − | 0.320618i | ||||
\(45\) | 2.59997 | + | 6.18386i | 0.387580 | + | 0.921836i | ||||
\(46\) | 3.75947 | − | 6.51160i | 0.554304 | − | 0.960083i | ||||
\(47\) | 0.471402 | + | 0.272164i | 0.0687611 | + | 0.0396992i | 0.533986 | − | 0.845493i | \(-0.320693\pi\) |
−0.465225 | + | 0.885192i | \(0.654027\pi\) | |||||||
\(48\) | −1.52995 | − | 0.811941i | −0.220829 | − | 0.117194i | ||||
\(49\) | −6.16163 | + | 3.32179i | −0.880233 | + | 0.474541i | ||||
\(50\) | 0.646325 | + | 4.95805i | 0.0914042 | + | 0.701174i | ||||
\(51\) | −5.32583 | + | 10.0355i | −0.745765 | + | 1.40526i | ||||
\(52\) | 3.22513 | 0.447244 | ||||||||
\(53\) | −0.951917 | + | 1.64877i | −0.130756 | + | 0.226476i | −0.923968 | − | 0.382469i | \(-0.875074\pi\) |
0.793212 | + | 0.608945i | \(0.208407\pi\) | |||||||
\(54\) | −4.75191 | − | 2.10222i | −0.646654 | − | 0.286075i | ||||
\(55\) | 9.00825 | − | 3.05150i | 1.21467 | − | 0.411464i | ||||
\(56\) | −0.647443 | − | 2.56531i | −0.0865182 | − | 0.342804i | ||||
\(57\) | 2.62011 | + | 4.18570i | 0.347042 | + | 0.554409i | ||||
\(58\) | − | 0.0578466i | − | 0.00759563i | ||||||
\(59\) | −0.615269 | − | 1.06568i | −0.0801012 | − | 0.138739i | 0.823192 | − | 0.567763i | \(-0.192191\pi\) |
−0.903293 | + | 0.429024i | \(0.858858\pi\) | |||||||
\(60\) | −2.99959 | − | 2.45000i | −0.387245 | − | 0.316293i | ||||
\(61\) | −3.90523 | − | 2.25468i | −0.500013 | − | 0.288683i | 0.228706 | − | 0.973496i | \(-0.426551\pi\) |
−0.728719 | + | 0.684813i | \(0.759884\pi\) | |||||||
\(62\) | 10.1688i | 1.29144i | ||||||||
\(63\) | −2.48634 | − | 7.53778i | −0.313250 | − | 0.949671i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 7.07213 | + | 1.41141i | 0.877190 | + | 0.175064i | ||||
\(66\) | −3.45357 | + | 6.50761i | −0.425105 | + | 0.801032i | ||||
\(67\) | 7.44867 | − | 4.30049i | 0.910000 | − | 0.525389i | 0.0295687 | − | 0.999563i | \(-0.490587\pi\) |
0.880431 | + | 0.474174i | \(0.157253\pi\) | |||||||
\(68\) | − | 6.55938i | − | 0.795441i | ||||||
\(69\) | 0.464778 | + | 13.0149i | 0.0559527 | + | 1.56681i | ||||
\(70\) | −0.297073 | − | 5.90862i | −0.0355070 | − | 0.706215i | ||||
\(71\) | − | 3.35700i | − | 0.398403i | −0.979959 | − | 0.199201i | \(-0.936165\pi\) | ||
0.979959 | − | 0.199201i | \(-0.0638348\pi\) | |||||||
\(72\) | 2.99236 | − | 0.213994i | 0.352653 | − | 0.0252195i | ||||
\(73\) | −8.45840 | + | 14.6504i | −0.989981 | + | 1.71470i | −0.372710 | + | 0.927948i | \(0.621571\pi\) |
−0.617272 | + | 0.786750i | \(0.711762\pi\) | |||||||
\(74\) | 0.331096i | 0.0384891i | ||||||||
\(75\) | −5.50537 | − | 6.68512i | −0.635706 | − | 0.771931i | ||||
\(76\) | −2.46906 | − | 1.42551i | −0.283221 | − | 0.163518i | ||||
\(77\) | −10.9115 | + | 2.75388i | −1.24348 | + | 0.313834i | ||||
\(78\) | −4.73493 | + | 2.96391i | −0.536125 | + | 0.335597i | ||||
\(79\) | 1.71836 | − | 2.97629i | 0.193331 | − | 0.334859i | −0.753021 | − | 0.657996i | \(-0.771404\pi\) |
0.946352 | + | 0.323137i | \(0.104738\pi\) | |||||||
\(80\) | 2.19282 | + | 0.437630i | 0.245165 | + | 0.0489285i | ||||
\(81\) | 8.90841 | − | 1.28070i | 0.989824 | − | 0.142300i | ||||
\(82\) | 0.485297 | + | 0.840559i | 0.0535921 | + | 0.0928242i | ||||
\(83\) | 0.335938 | − | 0.193954i | 0.0368739 | − | 0.0212892i | −0.481450 | − | 0.876474i | \(-0.659890\pi\) |
0.518324 | + | 0.855185i | \(0.326556\pi\) | |||||||
\(84\) | 3.30807 | + | 3.17122i | 0.360940 | + | 0.346009i | ||||
\(85\) | 2.87058 | − | 14.3836i | 0.311358 | − | 1.56012i | ||||
\(86\) | − | 6.76379i | − | 0.729358i | ||||||
\(87\) | 0.0531614 | + | 0.0849268i | 0.00569950 | + | 0.00910511i | ||||
\(88\) | − | 4.25348i | − | 0.453422i | ||||||
\(89\) | −3.69936 | − | 6.40747i | −0.392131 | − | 0.679191i | 0.600600 | − | 0.799550i | \(-0.294929\pi\) |
−0.992730 | + | 0.120359i | \(0.961595\pi\) | |||||||
\(90\) | 6.65537 | + | 0.840293i | 0.701537 | + | 0.0885746i | ||||
\(91\) | −8.20906 | − | 2.32839i | −0.860543 | − | 0.244081i | ||||
\(92\) | −3.75947 | − | 6.51160i | −0.391952 | − | 0.678881i | ||||
\(93\) | −9.34522 | − | 14.9292i | −0.969054 | − | 1.54809i | ||||
\(94\) | 0.471402 | − | 0.272164i | 0.0486214 | − | 0.0280716i | ||||
\(95\) | −4.79037 | − | 4.20644i | −0.491482 | − | 0.431571i | ||||
\(96\) | −1.46814 | + | 0.919006i | −0.149841 | + | 0.0937957i | ||||
\(97\) | −4.48327 | − | 7.76525i | −0.455207 | − | 0.788442i | 0.543493 | − | 0.839414i | \(-0.317101\pi\) |
−0.998700 | + | 0.0509717i | \(0.983768\pi\) | |||||||
\(98\) | −0.204066 | + | 6.99702i | −0.0206138 | + | 0.706806i | ||||
\(99\) | −0.910220 | − | 12.7279i | −0.0914806 | − | 1.27920i | ||||
\(100\) | 4.61696 | + | 1.91929i | 0.461696 | + | 0.191929i | ||||
\(101\) | 3.10315 | 0.308775 | 0.154388 | − | 0.988010i | \(-0.450660\pi\) | ||||
0.154388 | + | 0.988010i | \(0.450660\pi\) | |||||||
\(102\) | 6.02811 | + | 9.63007i | 0.596872 | + | 0.953519i | ||||
\(103\) | −12.5559 | −1.23717 | −0.618583 | − | 0.785720i | \(-0.712293\pi\) | ||||
−0.618583 | + | 0.785720i | \(0.712293\pi\) | |||||||
\(104\) | 1.61256 | − | 2.79304i | 0.158125 | − | 0.273880i | ||||
\(105\) | 5.86620 | + | 8.40165i | 0.572483 | + | 0.819917i | ||||
\(106\) | 0.951917 | + | 1.64877i | 0.0924583 | + | 0.160143i | ||||
\(107\) | 1.14308 | + | 1.97987i | 0.110506 | + | 0.191401i | 0.915974 | − | 0.401237i | \(-0.131420\pi\) |
−0.805469 | + | 0.592638i | \(0.798086\pi\) | |||||||
\(108\) | −4.19653 | + | 3.06417i | −0.403811 | + | 0.294850i | ||||
\(109\) | 6.40462 | − | 11.0931i | 0.613451 | − | 1.06253i | −0.377203 | − | 0.926131i | \(-0.623114\pi\) |
0.990654 | − | 0.136398i | \(-0.0435525\pi\) | |||||||
\(110\) | 1.86145 | − | 9.32713i | 0.177482 | − | 0.889307i | ||||
\(111\) | −0.304279 | − | 0.486094i | −0.0288809 | − | 0.0461380i | ||||
\(112\) | −2.54535 | − | 0.721953i | −0.240513 | − | 0.0682181i | ||||
\(113\) | 2.20016 | − | 3.81078i | 0.206973 | − | 0.358488i | −0.743786 | − | 0.668418i | \(-0.766972\pi\) |
0.950760 | + | 0.309929i | \(0.100305\pi\) | |||||||
\(114\) | 4.93498 | − | 0.176234i | 0.462203 | − | 0.0165058i | ||||
\(115\) | −5.39420 | − | 15.9241i | −0.503011 | − | 1.48493i | ||||
\(116\) | −0.0500967 | − | 0.0289233i | −0.00465136 | − | 0.00268546i | ||||
\(117\) | 4.22767 | − | 8.70286i | 0.390848 | − | 0.804579i | ||||
\(118\) | −1.23054 | −0.113280 | ||||||||
\(119\) | −4.73556 | + | 16.6959i | −0.434108 | + | 1.53051i | ||||
\(120\) | −3.62155 | + | 1.37272i | −0.330601 | + | 0.125312i | ||||
\(121\) | −7.09205 | −0.644732 | ||||||||
\(122\) | −3.90523 | + | 2.25468i | −0.353563 | + | 0.204130i | ||||
\(123\) | −1.48496 | − | 0.788065i | −0.133895 | − | 0.0710574i | ||||
\(124\) | 8.80647 | + | 5.08442i | 0.790844 | + | 0.456594i | ||||
\(125\) | 9.28425 | + | 6.22919i | 0.830408 | + | 0.557156i | ||||
\(126\) | −7.77108 | − | 1.61565i | −0.692303 | − | 0.143934i | ||||
\(127\) | − | 3.43309i | − | 0.304637i | −0.988331 | − | 0.152319i | \(-0.951326\pi\) | ||
0.988331 | − | 0.152319i | \(-0.0486740\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 6.21596 | + | 9.93017i | 0.547285 | + | 0.874303i | ||||
\(130\) | 4.75838 | − | 5.41894i | 0.417338 | − | 0.475273i | ||||
\(131\) | 20.2953 | 1.77321 | 0.886604 | − | 0.462528i | \(-0.153058\pi\) | ||||
0.886604 | + | 0.462528i | \(0.153058\pi\) | |||||||
\(132\) | 3.90897 | + | 6.24469i | 0.340232 | + | 0.543530i | ||||
\(133\) | 5.25546 | + | 5.41097i | 0.455706 | + | 0.469191i | ||||
\(134\) | − | 8.60098i | − | 0.743012i | ||||||
\(135\) | −10.5432 | + | 4.88266i | −0.907416 | + | 0.420232i | ||||
\(136\) | −5.68059 | − | 3.27969i | −0.487106 | − | 0.281231i | ||||
\(137\) | 22.2691 | 1.90258 | 0.951291 | − | 0.308295i | \(-0.0997584\pi\) | ||||
0.951291 | + | 0.308295i | \(0.0997584\pi\) | |||||||
\(138\) | 11.5036 | + | 6.10494i | 0.979253 | + | 0.519687i | ||||
\(139\) | −3.12764 | − | 1.80575i | −0.265283 | − | 0.153161i | 0.361459 | − | 0.932388i | \(-0.382279\pi\) |
−0.626742 | + | 0.779227i | \(0.715612\pi\) | |||||||
\(140\) | −5.26555 | − | 2.69704i | −0.445020 | − | 0.227941i | ||||
\(141\) | −0.441963 | + | 0.832796i | −0.0372200 | + | 0.0701341i | ||||
\(142\) | −2.90725 | − | 1.67850i | −0.243971 | − | 0.140857i | ||||
\(143\) | −11.8801 | − | 6.85899i | −0.993466 | − | 0.573578i | ||||
\(144\) | 1.31085 | − | 2.69846i | 0.109238 | − | 0.224871i | ||||
\(145\) | −0.0971955 | − | 0.0853475i | −0.00807164 | − | 0.00708773i | ||||
\(146\) | 8.45840 | + | 14.6504i | 0.700023 | + | 1.21247i | ||||
\(147\) | −6.13071 | − | 10.4601i | −0.505653 | − | 0.862737i | ||||
\(148\) | 0.286737 | + | 0.165548i | 0.0235697 | + | 0.0136080i | ||||
\(149\) | − | 13.3639i | − | 1.09481i | −0.836867 | − | 0.547406i | \(-0.815615\pi\) | ||
0.836867 | − | 0.547406i | \(-0.184385\pi\) | |||||||
\(150\) | −8.54217 | + | 1.42523i | −0.697465 | + | 0.116370i | ||||
\(151\) | 0.890996 | 0.0725082 | 0.0362541 | − | 0.999343i | \(-0.488457\pi\) | ||||
0.0362541 | + | 0.999343i | \(0.488457\pi\) | |||||||
\(152\) | −2.46906 | + | 1.42551i | −0.200267 | + | 0.115624i | ||||
\(153\) | −17.7002 | − | 8.59839i | −1.43098 | − | 0.695138i | ||||
\(154\) | −3.07081 | + | 10.8266i | −0.247453 | + | 0.872429i | ||||
\(155\) | 17.0859 | + | 15.0032i | 1.37238 | + | 1.20509i | ||||
\(156\) | 0.199359 | + | 5.58252i | 0.0159615 | + | 0.446959i | ||||
\(157\) | −8.11868 | − | 14.0620i | −0.647941 | − | 1.12227i | −0.983614 | − | 0.180288i | \(-0.942297\pi\) |
0.335673 | − | 0.941979i | \(-0.391036\pi\) | |||||||
\(158\) | −1.71836 | − | 2.97629i | −0.136706 | − | 0.236781i | ||||
\(159\) | −2.91277 | − | 1.54580i | −0.230998 | − | 0.122590i | ||||
\(160\) | 1.47541 | − | 1.68023i | 0.116641 | − | 0.132834i | ||||
\(161\) | 4.86809 | + | 19.2884i | 0.383659 | + | 1.52014i | ||||
\(162\) | 3.34509 | − | 8.35526i | 0.262815 | − | 0.656451i | ||||
\(163\) | 10.6386 | − | 6.14217i | 0.833276 | − | 0.481092i | −0.0216970 | − | 0.999765i | \(-0.506907\pi\) |
0.854973 | + | 0.518672i | \(0.173574\pi\) | |||||||
\(164\) | 0.970594 | 0.0757907 | ||||||||
\(165\) | 5.83883 | + | 15.4042i | 0.454552 | + | 1.19921i | ||||
\(166\) | − | 0.387907i | − | 0.0301075i | ||||||
\(167\) | −14.8865 | − | 8.59473i | −1.15195 | − | 0.665080i | −0.202591 | − | 0.979264i | \(-0.564936\pi\) |
−0.949362 | + | 0.314183i | \(0.898269\pi\) | |||||||
\(168\) | 4.40040 | − | 1.27926i | 0.339498 | − | 0.0986973i | ||||
\(169\) | 1.29928 | + | 2.25043i | 0.0999449 | + | 0.173110i | ||||
\(170\) | −11.0212 | − | 9.67778i | −0.845291 | − | 0.742252i | ||||
\(171\) | −7.08326 | + | 4.79401i | −0.541671 | + | 0.366607i | ||||
\(172\) | −5.85761 | − | 3.38189i | −0.446639 | − | 0.257867i | ||||
\(173\) | 5.70624 | + | 3.29450i | 0.433837 | + | 0.250476i | 0.700980 | − | 0.713181i | \(-0.252746\pi\) |
−0.267143 | + | 0.963657i | \(0.586080\pi\) | |||||||
\(174\) | 0.100129 | − | 0.00357575i | 0.00759080 | − | 0.000271077i | ||||
\(175\) | −10.3661 | − | 8.21849i | −0.783605 | − | 0.621259i | ||||
\(176\) | −3.68362 | − | 2.12674i | −0.277663 | − | 0.160309i | ||||
\(177\) | 1.80660 | − | 1.13087i | 0.135792 | − | 0.0850015i | ||||
\(178\) | −7.39871 | −0.554557 | ||||||||
\(179\) | 9.31118 | + | 5.37581i | 0.695950 | + | 0.401807i | 0.805837 | − | 0.592137i | \(-0.201716\pi\) |
−0.109887 | + | 0.993944i | \(0.535049\pi\) | |||||||
\(180\) | 4.05540 | − | 5.34357i | 0.302272 | − | 0.398286i | ||||
\(181\) | 17.4543i | 1.29737i | 0.761057 | + | 0.648685i | \(0.224681\pi\) | ||||
−0.761057 | + | 0.648685i | \(0.775319\pi\) | |||||||
\(182\) | −6.12097 | + | 5.94506i | −0.453717 | + | 0.440677i | ||||
\(183\) | 3.66134 | − | 6.89912i | 0.270654 | − | 0.509997i | ||||
\(184\) | −7.51895 | −0.554304 | ||||||||
\(185\) | 0.556316 | + | 0.488502i | 0.0409012 | + | 0.0359154i | ||||
\(186\) | −17.6017 | + | 0.628579i | −1.29062 | + | 0.0460896i | ||||
\(187\) | −13.9501 | + | 24.1622i | −1.02013 | + | 1.76692i | ||||
\(188\) | − | 0.544329i | − | 0.0396992i | ||||||
\(189\) | 12.8938 | − | 4.76967i | 0.937886 | − | 0.346943i | ||||
\(190\) | −6.03807 | + | 2.04537i | −0.438047 | + | 0.148386i | ||||
\(191\) | −18.0983 | − | 10.4491i | −1.30955 | − | 0.756068i | −0.327528 | − | 0.944842i | \(-0.606215\pi\) |
−0.982021 | + | 0.188773i | \(0.939549\pi\) | |||||||
\(192\) | 0.0618143 | + | 1.73095i | 0.00446106 | + | 0.124920i | ||||
\(193\) | 3.03182 | − | 1.75042i | 0.218235 | − | 0.125998i | −0.386898 | − | 0.922123i | \(-0.626453\pi\) |
0.605133 | + | 0.796125i | \(0.293120\pi\) | |||||||
\(194\) | −8.96654 | −0.643760 | ||||||||
\(195\) | −2.00592 | + | 12.3287i | −0.143647 | + | 0.882879i | ||||
\(196\) | 5.95757 | + | 3.67524i | 0.425541 | + | 0.262517i | ||||
\(197\) | −9.20124 | −0.655561 | −0.327781 | − | 0.944754i | \(-0.606301\pi\) | ||||
−0.327781 | + | 0.944754i | \(0.606301\pi\) | |||||||
\(198\) | −11.4778 | − | 5.57569i | −0.815693 | − | 0.396247i | ||||
\(199\) | 9.22812 | + | 5.32786i | 0.654164 | + | 0.377682i | 0.790050 | − | 0.613043i | \(-0.210055\pi\) |
−0.135886 | + | 0.990725i | \(0.543388\pi\) | |||||||
\(200\) | 3.97064 | − | 3.03876i | 0.280766 | − | 0.214873i | ||||
\(201\) | 7.90436 | + | 12.6274i | 0.557530 | + | 0.890670i | ||||
\(202\) | 1.55158 | − | 2.68741i | 0.109169 | − | 0.189085i | ||||
\(203\) | 0.106632 | + | 0.109787i | 0.00748410 | + | 0.00770555i | ||||
\(204\) | 11.3539 | − | 0.405463i | 0.794935 | − | 0.0283881i | ||||
\(205\) | 2.12834 | + | 0.424761i | 0.148650 | + | 0.0296666i | ||||
\(206\) | −6.27793 | + | 10.8737i | −0.437404 | + | 0.757606i | ||||
\(207\) | −22.4994 | + | 1.60901i | −1.56381 | + | 0.111834i | ||||
\(208\) | −1.61256 | − | 2.79304i | −0.111811 | − | 0.193663i | ||||
\(209\) | 6.06339 | + | 10.5021i | 0.419413 | + | 0.726445i | ||||
\(210\) | 10.2091 | − | 0.879455i | 0.704498 | − | 0.0606881i | ||||
\(211\) | −4.37034 | + | 7.56965i | −0.300867 | + | 0.521116i | −0.976332 | − | 0.216275i | \(-0.930609\pi\) |
0.675466 | + | 0.737391i | \(0.263943\pi\) | |||||||
\(212\) | 1.90383 | 0.130756 | ||||||||
\(213\) | 5.81079 | − | 0.207510i | 0.398149 | − | 0.0142184i | ||||
\(214\) | 2.28616 | 0.156279 | ||||||||
\(215\) | −11.3647 | − | 9.97937i | −0.775066 | − | 0.680587i | ||||
\(216\) | 0.555384 | + | 5.16639i | 0.0377891 | + | 0.351528i | ||||
\(217\) | −18.7448 | − | 19.2995i | −1.27248 | − | 1.31013i | ||||
\(218\) | −6.40462 | − | 11.0931i | −0.433775 | − | 0.751321i | ||||
\(219\) | −25.8819 | − | 13.7355i | −1.74894 | − | 0.928156i | ||||
\(220\) | −7.14680 | − | 6.27562i | −0.481837 | − | 0.423102i | ||||
\(221\) | −18.3206 | + | 10.5774i | −1.23238 | + | 0.711513i | ||||
\(222\) | −0.573109 | + | 0.0204664i | −0.0384646 | + | 0.00137362i | ||||
\(223\) | 14.6894 | + | 25.4429i | 0.983678 | + | 1.70378i | 0.647671 | + | 0.761920i | \(0.275743\pi\) |
0.336006 | + | 0.941860i | \(0.390924\pi\) | |||||||
\(224\) | −1.89790 | + | 1.84336i | −0.126809 | + | 0.123165i | ||||
\(225\) | 11.2313 | − | 9.94275i | 0.748752 | − | 0.662850i | ||||
\(226\) | −2.20016 | − | 3.81078i | −0.146352 | − | 0.253490i | ||||
\(227\) | − | 17.1538i | − | 1.13854i | −0.822152 | − | 0.569268i | \(-0.807227\pi\) | ||
0.822152 | − | 0.569268i | \(-0.192773\pi\) | |||||||
\(228\) | 2.31487 | − | 4.36193i | 0.153306 | − | 0.288876i | ||||
\(229\) | − | 11.0742i | − | 0.731806i | −0.930653 | − | 0.365903i | \(-0.880760\pi\) | ||
0.930653 | − | 0.365903i | \(-0.119240\pi\) | |||||||
\(230\) | −16.4877 | − | 3.29052i | −1.08717 | − | 0.216970i | ||||
\(231\) | −5.44131 | − | 18.7170i | −0.358012 | − | 1.23149i | ||||
\(232\) | −0.0500967 | + | 0.0289233i | −0.00328901 | + | 0.00189891i | ||||
\(233\) | 11.7152 | + | 20.2913i | 0.767489 | + | 1.32933i | 0.938920 | + | 0.344134i | \(0.111828\pi\) |
−0.171431 | + | 0.985196i | \(0.554839\pi\) | |||||||
\(234\) | −5.42306 | − | 8.01270i | −0.354517 | − | 0.523806i | ||||
\(235\) | 0.238214 | − | 1.19362i | 0.0155394 | − | 0.0778630i | ||||
\(236\) | −0.615269 | + | 1.06568i | −0.0400506 | + | 0.0693696i | ||||
\(237\) | 5.25802 | + | 2.79042i | 0.341545 | + | 0.181257i | ||||
\(238\) | 12.0913 | + | 12.4491i | 0.783761 | + | 0.806952i | ||||
\(239\) | −0.758949 | − | 0.438179i | −0.0490923 | − | 0.0283435i | 0.475253 | − | 0.879849i | \(-0.342357\pi\) |
−0.524345 | + | 0.851506i | \(0.675690\pi\) | |||||||
\(240\) | −0.621966 | + | 3.82272i | −0.0401478 | + | 0.246755i | ||||
\(241\) | − | 16.9789i | − | 1.09371i | −0.837228 | − | 0.546853i | \(-0.815825\pi\) | ||
0.837228 | − | 0.546853i | \(-0.184175\pi\) | |||||||
\(242\) | −3.54603 | + | 6.14190i | −0.227947 | + | 0.394816i | ||||
\(243\) | 2.76748 | + | 15.3408i | 0.177534 | + | 0.984115i | ||||
\(244\) | 4.50937i | 0.288683i | ||||||||
\(245\) | 11.4555 | + | 10.6664i | 0.731866 | + | 0.681449i | ||||
\(246\) | −1.42497 | + | 0.891982i | −0.0908525 | + | 0.0568707i | ||||
\(247\) | 9.19492i | 0.585059i | ||||||||
\(248\) | 8.80647 | − | 5.08442i | 0.559211 | − | 0.322861i | ||||
\(249\) | 0.356489 | + | 0.569501i | 0.0225916 | + | 0.0360907i | ||||
\(250\) | 10.0368 | − | 4.92580i | 0.634780 | − | 0.311535i | ||||
\(251\) | −7.65250 | −0.483022 | −0.241511 | − | 0.970398i | \(-0.577643\pi\) | ||||
−0.241511 | + | 0.970398i | \(0.577643\pi\) | |||||||
\(252\) | −5.28473 | + | 5.92213i | −0.332907 | + | 0.373059i | ||||
\(253\) | 31.9817i | 2.01067i | ||||||||
\(254\) | −2.97314 | − | 1.71654i | −0.186551 | − | 0.107705i | ||||
\(255\) | 25.0746 | + | 4.07971i | 1.57023 | + | 0.255482i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 6.58759i | 0.410923i | 0.978665 | + | 0.205461i | \(0.0658695\pi\) | ||||
−0.978665 | + | 0.205461i | \(0.934131\pi\) | |||||||
\(258\) | 11.7078 | − | 0.418099i | 0.728893 | − | 0.0260297i | ||||
\(259\) | −0.610328 | − | 0.628387i | −0.0379239 | − | 0.0390461i | ||||
\(260\) | −2.31375 | − | 6.83035i | −0.143493 | − | 0.423601i | ||||
\(261\) | −0.143718 | + | 0.0972693i | −0.00889590 | + | 0.00602082i | ||||
\(262\) | 10.1477 | − | 17.5762i | 0.626924 | − | 1.08586i | ||||
\(263\) | 29.3620 | 1.81054 | 0.905270 | − | 0.424836i | \(-0.139668\pi\) | ||||
0.905270 | + | 0.424836i | \(0.139668\pi\) | |||||||
\(264\) | 7.36254 | − | 0.262925i | 0.453133 | − | 0.0161819i | ||||
\(265\) | 4.17477 | + | 0.833174i | 0.256454 | + | 0.0511815i | ||||
\(266\) | 7.31377 | − | 1.84588i | 0.448436 | − | 0.113178i | ||||
\(267\) | 10.8623 | − | 6.79946i | 0.664763 | − | 0.416120i | ||||
\(268\) | −7.44867 | − | 4.30049i | −0.455000 | − | 0.262694i | ||||
\(269\) | −5.09477 | + | 8.82440i | −0.310633 | + | 0.538033i | −0.978500 | − | 0.206248i | \(-0.933874\pi\) |
0.667866 | + | 0.744281i | \(0.267208\pi\) | |||||||
\(270\) | −1.04311 | + | 11.5720i | −0.0634814 | + | 0.704251i | ||||
\(271\) | 24.6928 | − | 14.2564i | 1.49998 | − | 0.866016i | 0.499984 | − | 0.866035i | \(-0.333339\pi\) |
1.00000 | 1.87784e-5i | \(5.97736e-6\pi\) | ||||||||
\(272\) | −5.68059 | + | 3.27969i | −0.344436 | + | 0.198860i | ||||
\(273\) | 3.52288 | − | 14.3534i | 0.213214 | − | 0.868706i | ||||
\(274\) | 11.1346 | − | 19.2856i | 0.672664 | − | 1.16509i | ||||
\(275\) | −12.9253 | − | 16.8890i | −0.779424 | − | 1.01844i | ||||
\(276\) | 11.0388 | − | 6.90996i | 0.664460 | − | 0.415931i | ||||
\(277\) | − | 18.1943i | − | 1.09319i | −0.837397 | − | 0.546595i | \(-0.815924\pi\) | ||
0.837397 | − | 0.546595i | \(-0.184076\pi\) | |||||||
\(278\) | −3.12764 | + | 1.80575i | −0.187584 | + | 0.108301i | ||||
\(279\) | 25.2641 | − | 17.0989i | 1.51252 | − | 1.02369i | ||||
\(280\) | −4.96848 | + | 3.21158i | −0.296923 | + | 0.191929i | ||||
\(281\) | 6.13073 | − | 3.53958i | 0.365729 | − | 0.211154i | −0.305862 | − | 0.952076i | \(-0.598945\pi\) |
0.671591 | + | 0.740922i | \(0.265611\pi\) | |||||||
\(282\) | 0.500241 | + | 0.799149i | 0.0297889 | + | 0.0475886i | ||||
\(283\) | 13.0780 | + | 22.6517i | 0.777404 | + | 1.34650i | 0.933434 | + | 0.358750i | \(0.116797\pi\) |
−0.156030 | + | 0.987752i | \(0.549870\pi\) | |||||||
\(284\) | −2.90725 | + | 1.67850i | −0.172513 | + | 0.0996007i | ||||
\(285\) | 6.98501 | − | 8.55190i | 0.413756 | − | 0.506571i | ||||
\(286\) | −11.8801 | + | 6.85899i | −0.702487 | + | 0.405581i | ||||
\(287\) | −2.47050 | − | 0.700723i | −0.145829 | − | 0.0413624i | ||||
\(288\) | −1.68150 | − | 2.48446i | −0.0990836 | − | 0.146398i | ||||
\(289\) | 13.0127 | + | 22.5387i | 0.765454 | + | 1.32580i | ||||
\(290\) | −0.122511 | + | 0.0415000i | −0.00719409 | + | 0.00243696i | ||||
\(291\) | 13.1641 | − | 8.24031i | 0.771694 | − | 0.483056i | ||||
\(292\) | 16.9168 | 0.989981 | ||||||||
\(293\) | 13.0082 | + | 7.51027i | 0.759945 | + | 0.438755i | 0.829276 | − | 0.558839i | \(-0.188753\pi\) |
−0.0693308 | + | 0.997594i | \(0.522086\pi\) | |||||||
\(294\) | −12.1241 | + | 0.0792879i | −0.707092 | + | 0.00462417i | ||||
\(295\) | −1.81555 | + | 2.06758i | −0.105705 | + | 0.120379i | ||||
\(296\) | 0.286737 | − | 0.165548i | 0.0166663 | − | 0.00962227i | ||||
\(297\) | 21.9751 | − | 2.36231i | 1.27512 | − | 0.137075i | ||||
\(298\) | −11.5735 | − | 6.68194i | −0.670433 | − | 0.387075i | ||||
\(299\) | −12.1248 | + | 21.0007i | −0.701194 | + | 1.21450i | ||||
\(300\) | −3.03680 | + | 8.11035i | −0.175330 | + | 0.468252i | ||||
\(301\) | 12.4681 | + | 12.8370i | 0.718648 | + | 0.739913i | ||||
\(302\) | 0.445498 | − | 0.771625i | 0.0256355 | − | 0.0444021i | ||||
\(303\) | 0.191819 | + | 5.37139i | 0.0110197 | + | 0.308579i | ||||
\(304\) | 2.85103i | 0.163518i | ||||||||
\(305\) | −1.97343 | + | 9.88825i | −0.112999 | + | 0.566200i | ||||
\(306\) | −16.2965 | + | 11.0296i | −0.931610 | + | 0.630521i | ||||
\(307\) | 23.2295 | 1.32578 | 0.662890 | − | 0.748717i | \(-0.269330\pi\) | ||||
0.662890 | + | 0.748717i | \(0.269330\pi\) | |||||||
\(308\) | 7.84068 | + | 8.07268i | 0.446764 | + | 0.459984i | ||||
\(309\) | −0.776131 | − | 21.7335i | −0.0441526 | − | 1.23638i | ||||
\(310\) | 21.5361 | − | 7.29526i | 1.22317 | − | 0.414343i | ||||
\(311\) | −0.0992231 | − | 0.171859i | −0.00562642 | − | 0.00974525i | 0.863198 | − | 0.504865i | \(-0.168458\pi\) |
−0.868825 | + | 0.495119i | \(0.835124\pi\) | |||||||
\(312\) | 4.93429 | + | 2.61861i | 0.279349 | + | 0.148250i | ||||
\(313\) | 1.59131 | − | 2.75623i | 0.0899463 | − | 0.155791i | −0.817542 | − | 0.575869i | \(-0.804664\pi\) |
0.907488 | + | 0.420078i | \(0.137997\pi\) | |||||||
\(314\) | −16.2374 | −0.916327 | ||||||||
\(315\) | −14.1802 | + | 10.6734i | −0.798964 | + | 0.601379i | ||||
\(316\) | −3.43672 | −0.193331 | ||||||||
\(317\) | −11.8116 | + | 20.4583i | −0.663406 | + | 1.14905i | 0.316309 | + | 0.948656i | \(0.397556\pi\) |
−0.979715 | + | 0.200396i | \(0.935777\pi\) | |||||||
\(318\) | −2.79509 | + | 1.74963i | −0.156741 | + | 0.0981147i | ||||
\(319\) | 0.123025 | + | 0.213085i | 0.00688806 | + | 0.0119305i | ||||
\(320\) | −0.717414 | − | 2.11786i | −0.0401046 | − | 0.118392i | ||||
\(321\) | −3.35639 | + | 2.10099i | −0.187336 | + | 0.117266i | ||||
\(322\) | 19.1383 | + | 5.42832i | 1.06654 | + | 0.302509i | ||||
\(323\) | 18.7010 | 1.04055 | ||||||||
\(324\) | −5.56332 | − | 7.07456i | −0.309073 | − | 0.393031i | ||||
\(325\) | −2.08448 | − | 15.9903i | −0.115626 | − | 0.886984i | ||||
\(326\) | − | 12.2843i | − | 0.680367i | ||||||
\(327\) | 19.5975 | + | 10.4003i | 1.08374 | + | 0.575140i | ||||
\(328\) | 0.485297 | − | 0.840559i | 0.0267960 | − | 0.0464121i | ||||
\(329\) | −0.392980 | + | 1.38550i | −0.0216657 | + | 0.0763853i | ||||
\(330\) | 16.2598 | + | 2.64552i | 0.895074 | + | 0.145631i | ||||
\(331\) | −11.8910 | + | 20.5958i | −0.653587 | + | 1.13205i | 0.328659 | + | 0.944449i | \(0.393403\pi\) |
−0.982246 | + | 0.187597i | \(0.939930\pi\) | |||||||
\(332\) | −0.335938 | − | 0.193954i | −0.0184370 | − | 0.0106446i | ||||
\(333\) | 0.822594 | − | 0.556739i | 0.0450779 | − | 0.0305091i | ||||
\(334\) | −14.8865 | + | 8.59473i | −0.814554 | + | 0.470283i | ||||
\(335\) | −14.4516 | − | 12.6900i | −0.789575 | − | 0.693328i | ||||
\(336\) | 1.09232 | − | 4.45049i | 0.0595911 | − | 0.242794i | ||||
\(337\) | −8.84127 | − | 5.10451i | −0.481615 | − | 0.278060i | 0.239475 | − | 0.970903i | \(-0.423025\pi\) |
−0.721089 | + | 0.692842i | \(0.756358\pi\) | |||||||
\(338\) | 2.59857 | 0.141343 | ||||||||
\(339\) | 6.73227 | + | 3.57280i | 0.365647 | + | 0.194048i | ||||
\(340\) | −13.8918 | + | 4.70579i | −0.753390 | + | 0.255207i | ||||
\(341\) | −21.6264 | − | 37.4581i | −1.17114 | − | 2.02847i | ||||
\(342\) | 0.610104 | + | 8.53129i | 0.0329906 | + | 0.461319i | ||||
\(343\) | −12.5107 | − | 13.6558i | −0.675515 | − | 0.737346i | ||||
\(344\) | −5.85761 | + | 3.38189i | −0.315821 | + | 0.182339i | ||||
\(345\) | 27.2303 | − | 10.3214i | 1.46603 | − | 0.555686i | ||||
\(346\) | 5.70624 | − | 3.29450i | 0.306769 | − | 0.177113i | ||||
\(347\) | −7.10625 | − | 12.3084i | −0.381483 | − | 0.660749i | 0.609791 | − | 0.792562i | \(-0.291253\pi\) |
−0.991275 | + | 0.131813i | \(0.957920\pi\) | |||||||
\(348\) | 0.0469681 | − | 0.0885025i | 0.00251775 | − | 0.00474423i | ||||
\(349\) | 18.0147 | − | 10.4008i | 0.964306 | − | 0.556742i | 0.0668102 | − | 0.997766i | \(-0.478718\pi\) |
0.897496 | + | 0.441023i | \(0.145384\pi\) | |||||||
\(350\) | −12.3005 | + | 4.86808i | −0.657488 | + | 0.260210i | ||||
\(351\) | 15.3255 | + | 6.77991i | 0.818016 | + | 0.361885i | ||||
\(352\) | −3.68362 | + | 2.12674i | −0.196337 | + | 0.113355i | ||||
\(353\) | − | 28.7177i | − | 1.52849i | −0.644927 | − | 0.764244i | \(-0.723112\pi\) | ||
0.644927 | − | 0.764244i | \(-0.276888\pi\) | |||||||
\(354\) | −0.0760648 | − | 2.13000i | −0.00404280 | − | 0.113208i | ||||
\(355\) | −7.10965 | + | 2.40836i | −0.377341 | + | 0.127822i | ||||
\(356\) | −3.69936 | + | 6.40747i | −0.196065 | + | 0.339595i | ||||
\(357\) | −29.1924 | − | 7.16496i | −1.54503 | − | 0.379210i | ||||
\(358\) | 9.31118 | − | 5.37581i | 0.492111 | − | 0.284121i | ||||
\(359\) | −4.11171 | + | 2.37390i | −0.217008 | + | 0.125289i | −0.604564 | − | 0.796557i | \(-0.706653\pi\) |
0.387556 | + | 0.921846i | \(0.373319\pi\) | |||||||
\(360\) | −2.59997 | − | 6.18386i | −0.137030 | − | 0.325918i | ||||
\(361\) | −5.43582 | + | 9.41512i | −0.286096 | + | 0.495533i | ||||
\(362\) | 15.1159 | + | 8.72717i | 0.794474 | + | 0.458690i | ||||
\(363\) | −0.438390 | − | 12.2760i | −0.0230095 | − | 0.644321i | ||||
\(364\) | 2.08809 | + | 8.27345i | 0.109445 | + | 0.433646i | ||||
\(365\) | 37.0956 | + | 7.40330i | 1.94167 | + | 0.387506i | ||||
\(366\) | −4.14414 | − | 6.62037i | −0.216618 | − | 0.346052i | ||||
\(367\) | −25.5470 | −1.33354 | −0.666770 | − | 0.745263i | \(-0.732324\pi\) | ||||
−0.666770 | + | 0.745263i | \(0.732324\pi\) | |||||||
\(368\) | −3.75947 | + | 6.51160i | −0.195976 | + | 0.339441i | ||||
\(369\) | 1.27231 | − | 2.61910i | 0.0662337 | − | 0.136345i | ||||
\(370\) | 0.701213 | − | 0.237533i | 0.0364543 | − | 0.0123487i | ||||
\(371\) | −4.84591 | − | 1.37448i | −0.251587 | − | 0.0713593i | ||||
\(372\) | −8.25649 | + | 15.5578i | −0.428079 | + | 0.806636i | ||||
\(373\) | 36.9589i | 1.91366i | 0.290650 | + | 0.956829i | \(0.406128\pi\) | ||||
−0.290650 | + | 0.956829i | \(0.593872\pi\) | |||||||
\(374\) | 13.9501 | + | 24.1622i | 0.721341 | + | 1.24940i | ||||
\(375\) | −10.2085 | + | 16.4556i | −0.527165 | + | 0.849763i | ||||
\(376\) | −0.471402 | − | 0.272164i | −0.0243107 | − | 0.0140358i | ||||
\(377\) | 0.186563i | 0.00960846i | ||||||||
\(378\) | 2.31624 | − | 13.5512i | 0.119135 | − | 0.696999i | ||||
\(379\) | −12.7446 | −0.654645 | −0.327322 | − | 0.944913i | \(-0.606146\pi\) | ||||
−0.327322 | + | 0.944913i | \(0.606146\pi\) | |||||||
\(380\) | −1.24769 | + | 6.25180i | −0.0640054 | + | 0.320711i | ||||
\(381\) | 5.94249 | − | 0.212214i | 0.304443 | − | 0.0108720i | ||||
\(382\) | −18.0983 | + | 10.4491i | −0.925991 | + | 0.534621i | ||||
\(383\) | − | 31.5647i | − | 1.61288i | −0.591317 | − | 0.806439i | \(-0.701392\pi\) | ||
0.591317 | − | 0.806439i | \(-0.298608\pi\) | |||||||
\(384\) | 1.52995 | + | 0.811941i | 0.0780750 | + | 0.0414342i | ||||
\(385\) | 13.6604 | + | 21.1333i | 0.696197 | + | 1.07705i | ||||
\(386\) | − | 3.50084i | − | 0.178188i | ||||||
\(387\) | −16.8044 | + | 11.3733i | −0.854214 | + | 0.578139i | ||||
\(388\) | −4.48327 | + | 7.76525i | −0.227604 | + | 0.394221i | ||||
\(389\) | − | 37.7841i | − | 1.91573i | −0.287219 | − | 0.957865i | \(-0.592731\pi\) | ||
0.287219 | − | 0.957865i | \(-0.407269\pi\) | |||||||
\(390\) | 9.67404 | + | 7.90155i | 0.489864 | + | 0.400110i | ||||
\(391\) | 42.7120 | + | 24.6598i | 2.16004 | + | 1.24710i | ||||
\(392\) | 6.16163 | − | 3.32179i | 0.311210 | − | 0.167776i | ||||
\(393\) | 1.25454 | + | 35.1301i | 0.0632831 | + | 1.77208i | ||||
\(394\) | −4.60062 | + | 7.96851i | −0.231776 | + | 0.401448i | ||||
\(395\) | −7.53614 | − | 1.50401i | −0.379184 | − | 0.0756751i | ||||
\(396\) | −10.5676 | + | 7.15223i | −0.531041 | + | 0.359413i | ||||
\(397\) | 8.08256 | + | 13.9994i | 0.405652 | + | 0.702610i | 0.994397 | − | 0.105709i | \(-0.0337111\pi\) |
−0.588745 | + | 0.808319i | \(0.700378\pi\) | |||||||
\(398\) | 9.22812 | − | 5.32786i | 0.462564 | − | 0.267061i | ||||
\(399\) | −9.04124 | + | 9.43140i | −0.452628 | + | 0.472161i | ||||
\(400\) | −0.646325 | − | 4.95805i | −0.0323163 | − | 0.247903i | ||||
\(401\) | 9.36761i | 0.467796i | 0.972261 | + | 0.233898i | \(0.0751482\pi\) | ||||
−0.972261 | + | 0.233898i | \(0.924852\pi\) | |||||||
\(402\) | 14.8878 | − | 0.531663i | 0.742538 | − | 0.0265170i | ||||
\(403\) | − | 32.7958i | − | 1.63367i | ||||||
\(404\) | −1.55158 | − | 2.68741i | −0.0771938 | − | 0.133704i | ||||
\(405\) | −9.10335 | − | 17.9480i | −0.452349 | − | 0.891841i | ||||
\(406\) | 0.148395 | − | 0.0374524i | 0.00736470 | − | 0.00185873i | ||||
\(407\) | −0.704154 | − | 1.21963i | −0.0349036 | − | 0.0604548i | ||||
\(408\) | 5.32583 | − | 10.0355i | 0.263668 | − | 0.496833i | ||||
\(409\) | −15.8045 | + | 9.12476i | −0.781485 | + | 0.451190i | −0.836956 | − | 0.547270i | \(-0.815667\pi\) |
0.0554716 | + | 0.998460i | \(0.482334\pi\) | |||||||
\(410\) | 1.43203 | − | 1.63082i | 0.0707227 | − | 0.0805404i | ||||
\(411\) | 1.37655 | + | 38.5467i | 0.0679002 | + | 1.90137i | ||||
\(412\) | 6.27793 | + | 10.8737i | 0.309291 | + | 0.535708i | ||||
\(413\) | 2.33544 | − | 2.26832i | 0.114919 | − | 0.111617i | ||||
\(414\) | −9.85624 | + | 20.2895i | −0.484408 | + | 0.997176i | ||||
\(415\) | −0.651772 | − | 0.572323i | −0.0319942 | − | 0.0280942i | ||||
\(416\) | −3.22513 | −0.158125 | ||||||||
\(417\) | 2.93232 | − | 5.52541i | 0.143596 | − | 0.270580i | ||||
\(418\) | 12.1268 | 0.593140 | ||||||||
\(419\) | 5.45769 | − | 9.45300i | 0.266626 | − | 0.461809i | −0.701362 | − | 0.712805i | \(-0.747425\pi\) |
0.967988 | + | 0.250995i | \(0.0807579\pi\) | |||||||
\(420\) | 4.34294 | − | 9.28110i | 0.211914 | − | 0.452871i | ||||
\(421\) | −4.79701 | − | 8.30867i | −0.233792 | − | 0.404940i | 0.725129 | − | 0.688613i | \(-0.241780\pi\) |
−0.958921 | + | 0.283674i | \(0.908447\pi\) | |||||||
\(422\) | 4.37034 | + | 7.56965i | 0.212745 | + | 0.368485i | ||||
\(423\) | −1.46885 | − | 0.713535i | −0.0714178 | − | 0.0346933i | ||||
\(424\) | 0.951917 | − | 1.64877i | 0.0462292 | − | 0.0800713i | ||||
\(425\) | −32.5217 | + | 4.23949i | −1.57754 | + | 0.205645i | ||||
\(426\) | 2.72569 | − | 5.13605i | 0.132060 | − | 0.248842i | ||||
\(427\) | 3.25555 | − | 11.4779i | 0.157547 | − | 0.555455i | ||||
\(428\) | 1.14308 | − | 1.97987i | 0.0552528 | − | 0.0957007i | ||||
\(429\) | 11.1382 | − | 20.9879i | 0.537757 | − | 1.01330i | ||||
\(430\) | −14.3247 | + | 4.85243i | −0.690800 | + | 0.234005i | ||||
\(431\) | −17.0044 | − | 9.81749i | −0.819072 | − | 0.472892i | 0.0310241 | − | 0.999519i | \(-0.490123\pi\) |
−0.850096 | + | 0.526627i | \(0.823456\pi\) | |||||||
\(432\) | 4.75191 | + | 2.10222i | 0.228627 | + | 0.101143i | ||||
\(433\) | −28.7386 | −1.38109 | −0.690545 | − | 0.723290i | \(-0.742629\pi\) | ||||
−0.690545 | + | 0.723290i | \(0.742629\pi\) | |||||||
\(434\) | −26.0862 | + | 6.58374i | −1.25218 | + | 0.316030i | ||||
\(435\) | 0.141724 | − | 0.173516i | 0.00679515 | − | 0.00831945i | ||||
\(436\) | −12.8092 | −0.613451 | ||||||||
\(437\) | 18.5647 | − | 10.7184i | 0.888072 | − | 0.512729i | ||||
\(438\) | −24.8362 | + | 15.5467i | −1.18672 | + | 0.742848i | ||||
\(439\) | −14.7853 | − | 8.53628i | −0.705662 | − | 0.407414i | 0.103791 | − | 0.994599i | \(-0.466903\pi\) |
−0.809453 | + | 0.587185i | \(0.800236\pi\) | |||||||
\(440\) | −9.00825 | + | 3.05150i | −0.429452 | + | 0.145475i | ||||
\(441\) | 17.7270 | − | 11.2585i | 0.844142 | − | 0.536120i | ||||
\(442\) | 21.1548i | 1.00623i | ||||||||
\(443\) | 14.9365 | − | 25.8707i | 0.709652 | − | 1.22915i | −0.255334 | − | 0.966853i | \(-0.582185\pi\) |
0.964986 | − | 0.262301i | \(-0.0844813\pi\) | |||||||
\(444\) | −0.268830 | + | 0.506560i | −0.0127581 | + | 0.0240403i | ||||
\(445\) | −10.9161 | + | 12.4315i | −0.517475 | + | 0.589310i | ||||
\(446\) | 29.3789 | 1.39113 | ||||||||
\(447\) | 23.1322 | − | 0.826079i | 1.09411 | − | 0.0390722i | ||||
\(448\) | 0.647443 | + | 2.56531i | 0.0305888 | + | 0.121200i | ||||
\(449\) | 30.0088i | 1.41620i | 0.706110 | + | 0.708102i | \(0.250448\pi\) | ||||
−0.706110 | + | 0.708102i | \(0.749552\pi\) | |||||||
\(450\) | −2.99503 | − | 14.6980i | −0.141187 | − | 0.692868i | ||||
\(451\) | −3.57530 | − | 2.06420i | −0.168354 | − | 0.0971993i | ||||
\(452\) | −4.40032 | −0.206973 | ||||||||
\(453\) | 0.0550763 | + | 1.54227i | 0.00258771 | + | 0.0724621i | ||||
\(454\) | −14.8556 | − | 8.57689i | −0.697208 | − | 0.402533i | ||||
\(455\) | 0.958098 | + | 19.0560i | 0.0449163 | + | 0.893360i | ||||
\(456\) | −2.62011 | − | 4.18570i | −0.122698 | − | 0.196013i | ||||
\(457\) | 0.248131 | + | 0.143259i | 0.0116071 | + | 0.00670135i | 0.505792 | − | 0.862655i | \(-0.331200\pi\) |
−0.494185 | + | 0.869357i | \(0.664534\pi\) | |||||||
\(458\) | −9.59057 | − | 5.53712i | −0.448138 | − | 0.258733i | ||||
\(459\) | 13.7892 | − | 31.1696i | 0.643626 | − | 1.45487i | ||||
\(460\) | −11.0935 | + | 12.6335i | −0.517239 | + | 0.589042i | ||||
\(461\) | −10.0357 | − | 17.3823i | −0.467409 | − | 0.809576i | 0.531897 | − | 0.846809i | \(-0.321479\pi\) |
−0.999307 | + | 0.0372323i | \(0.988146\pi\) | |||||||
\(462\) | −18.9300 | − | 4.64617i | −0.880705 | − | 0.216159i | ||||
\(463\) | −13.2014 | − | 7.62183i | −0.613521 | − | 0.354216i | 0.160821 | − | 0.986984i | \(-0.448586\pi\) |
−0.774342 | + | 0.632767i | \(0.781919\pi\) | |||||||
\(464\) | 0.0578466i | 0.00268546i | ||||||||
\(465\) | −24.9136 | + | 30.5023i | −1.15534 | + | 1.41451i | ||||
\(466\) | 23.4304 | 1.08539 | ||||||||
\(467\) | 12.6675 | − | 7.31361i | 0.586184 | − | 0.338434i | −0.177403 | − | 0.984138i | \(-0.556770\pi\) |
0.763587 | + | 0.645705i | \(0.223436\pi\) | |||||||
\(468\) | −9.65073 | + | 0.690159i | −0.446105 | + | 0.0319026i | ||||
\(469\) | 15.8547 | + | 16.3238i | 0.732101 | + | 0.753764i | ||||
\(470\) | −0.914596 | − | 0.803108i | −0.0421871 | − | 0.0370446i | ||||
\(471\) | 23.8387 | − | 14.9222i | 1.09843 | − | 0.687580i | ||||
\(472\) | 0.615269 | + | 1.06568i | 0.0283200 | + | 0.0490517i | ||||
\(473\) | 14.3848 | + | 24.9152i | 0.661414 | + | 1.14560i | ||||
\(474\) | 5.04558 | − | 3.15837i | 0.231751 | − | 0.145069i | ||||
\(475\) | −5.47195 | + | 13.1631i | −0.251070 | + | 0.603963i | ||||
\(476\) | 16.8268 | − | 4.24682i | 0.771257 | − | 0.194653i | ||||
\(477\) | 2.49565 | − | 5.13741i | 0.114268 | − | 0.235226i | ||||
\(478\) | −0.758949 | + | 0.438179i | −0.0347135 | + | 0.0200419i | ||||
\(479\) | 6.57154 | 0.300261 | 0.150131 | − | 0.988666i | \(-0.452031\pi\) | ||||
0.150131 | + | 0.988666i | \(0.452031\pi\) | |||||||
\(480\) | 2.99959 | + | 2.45000i | 0.136912 | + | 0.111827i | ||||
\(481\) | − | 1.06783i | − | 0.0486886i | ||||||
\(482\) | −14.7042 | − | 8.48945i | −0.669756 | − | 0.386684i | ||||
\(483\) | −33.0863 | + | 9.61871i | −1.50548 | + | 0.437666i | ||||
\(484\) | 3.54603 | + | 6.14190i | 0.161183 | + | 0.279177i | ||||
\(485\) | −13.2293 | + | 15.0658i | −0.600713 | + | 0.684104i | ||||
\(486\) | 14.6693 | + | 5.27370i | 0.665412 | + | 0.239220i | ||||
\(487\) | 11.8823 | + | 6.86022i | 0.538436 | + | 0.310866i | 0.744445 | − | 0.667684i | \(-0.232714\pi\) |
−0.206009 | + | 0.978550i | \(0.566048\pi\) | |||||||
\(488\) | 3.90523 | + | 2.25468i | 0.176781 | + | 0.102065i | ||||
\(489\) | 11.2894 | + | 18.0351i | 0.510524 | + | 0.815576i | ||||
\(490\) | 14.9651 | − | 4.58758i | 0.676054 | − | 0.207246i | ||||
\(491\) | −10.5069 | − | 6.06619i | −0.474172 | − | 0.273763i | 0.243813 | − | 0.969822i | \(-0.421602\pi\) |
−0.717985 | + | 0.696059i | \(0.754935\pi\) | |||||||
\(492\) | 0.0599966 | + | 1.68005i | 0.00270485 | + | 0.0757424i | ||||
\(493\) | 0.379438 | 0.0170890 | ||||||||
\(494\) | 7.96303 | + | 4.59746i | 0.358274 | + | 0.206849i | ||||
\(495\) | −26.3029 | + | 11.0589i | −1.18223 | + | 0.497061i | ||||
\(496\) | − | 10.1688i | − | 0.456594i | ||||||
\(497\) | 8.61175 | − | 2.17347i | 0.386290 | − | 0.0974933i | ||||
\(498\) | 0.671447 | − | 0.0239782i | 0.0300883 | − | 0.00107449i | ||||
\(499\) | −15.0271 | −0.672706 | −0.336353 | − | 0.941736i | \(-0.609193\pi\) | ||||
−0.336353 | + | 0.941736i | \(0.609193\pi\) | |||||||
\(500\) | 0.752513 | − | 11.1550i | 0.0336534 | − | 0.498866i | ||||
\(501\) | 13.9568 | − | 26.2990i | 0.623545 | − | 1.17495i | ||||
\(502\) | −3.82625 | + | 6.62726i | −0.170774 | + | 0.295789i | ||||
\(503\) | 8.31165i | 0.370598i | 0.982682 | + | 0.185299i | \(0.0593254\pi\) | ||||
−0.982682 | + | 0.185299i | \(0.940675\pi\) | |||||||
\(504\) | 2.48634 | + | 7.53778i | 0.110751 | + | 0.335759i | ||||
\(505\) | −2.22624 | − | 6.57203i | −0.0990666 | − | 0.292452i | ||||
\(506\) | 27.6969 | + | 15.9908i | 1.23128 | + | 0.710879i | ||||
\(507\) | −3.81505 | + | 2.38810i | −0.169432 | + | 0.106059i | ||||
\(508\) | −2.97314 | + | 1.71654i | −0.131912 | + | 0.0761593i | ||||
\(509\) | −20.5051 | −0.908871 | −0.454436 | − | 0.890780i | \(-0.650159\pi\) | ||||
−0.454436 | + | 0.890780i | \(0.650159\pi\) | |||||||
\(510\) | 16.0705 | − | 19.6754i | 0.711612 | − | 0.871242i | ||||
\(511\) | −43.0591 | − | 12.2131i | −1.90482 | − | 0.540277i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −8.73603 | − | 11.9644i | −0.385705 | − | 0.528242i | ||||
\(514\) | 5.70502 | + | 3.29380i | 0.251638 | + | 0.145283i | ||||
\(515\) | 9.00775 | + | 26.5915i | 0.396929 | + | 1.17176i | ||||
\(516\) | 5.49180 | − | 10.3483i | 0.241763 | − | 0.455557i | ||||
\(517\) | −1.15764 | + | 2.00510i | −0.0509131 | + | 0.0881841i | ||||
\(518\) | −0.849363 | + | 0.214366i | −0.0373189 | + | 0.00941869i | ||||
\(519\) | −5.34988 | + | 10.0808i | −0.234834 | + | 0.442500i | ||||
\(520\) | −7.07213 | − | 1.41141i | −0.310134 | − | 0.0618945i | ||||
\(521\) | −11.0285 | + | 19.1019i | −0.483166 | + | 0.836869i | −0.999813 | − | 0.0193301i | \(-0.993847\pi\) |
0.516647 | + | 0.856199i | \(0.327180\pi\) | |||||||
\(522\) | 0.0123789 | + | 0.173098i | 0.000541808 | + | 0.00757629i | ||||
\(523\) | 11.6387 | + | 20.1588i | 0.508924 | + | 0.881483i | 0.999947 | + | 0.0103357i | \(0.00329002\pi\) |
−0.491022 | + | 0.871147i | \(0.663377\pi\) | |||||||
\(524\) | −10.1477 | − | 17.5762i | −0.443302 | − | 0.767822i | ||||
\(525\) | 13.5850 | − | 18.4512i | 0.592898 | − | 0.805278i | ||||
\(526\) | 14.6810 | − | 25.4283i | 0.640123 | − | 1.10873i | ||||
\(527\) | −66.7012 | −2.90555 | ||||||||
\(528\) | 3.45357 | − | 6.50761i | 0.150297 | − | 0.283207i | ||||
\(529\) | 33.5346 | 1.45802 | ||||||||
\(530\) | 2.80894 | − | 3.19887i | 0.122012 | − | 0.138950i | ||||
\(531\) | 2.06915 | + | 3.05722i | 0.0897936 | + | 0.132672i | ||||
\(532\) | 2.05831 | − | 7.25685i | 0.0892389 | − | 0.314624i | ||||
\(533\) | −1.56514 | − | 2.71091i | −0.0677939 | − | 0.117422i | ||||
\(534\) | −0.457346 | − | 12.8068i | −0.0197913 | − | 0.554204i | ||||
\(535\) | 3.37302 | − | 3.84126i | 0.145829 | − | 0.166072i | ||||
\(536\) | −7.44867 | + | 4.30049i | −0.321733 | + | 0.185753i | ||||
\(537\) | −8.72968 | + | 16.4495i | −0.376714 | + | 0.709847i | ||||
\(538\) | 5.09477 | + | 8.82440i | 0.219651 | + | 0.380447i | ||||
\(539\) | −14.1291 | − | 26.2084i | −0.608585 | − | 1.12887i | ||||
\(540\) | 9.50012 | + | 6.68937i | 0.408820 | + | 0.287865i | ||||
\(541\) | 2.50191 | + | 4.33344i | 0.107566 | + | 0.186309i | 0.914784 | − | 0.403944i | \(-0.132361\pi\) |
−0.807218 | + | 0.590254i | \(0.799028\pi\) | |||||||
\(542\) | − | 28.5128i | − | 1.22473i | ||||||
\(543\) | −30.2125 | + | 1.07893i | −1.29654 | + | 0.0463012i | ||||
\(544\) | 6.55938i | 0.281231i | ||||||||
\(545\) | −28.0884 | − | 5.60570i | −1.20318 | − | 0.240122i | ||||
\(546\) | −10.6689 | − | 10.2276i | −0.456589 | − | 0.437701i | ||||
\(547\) | 36.7469 | − | 21.2159i | 1.57119 | − | 0.907124i | 0.575162 | − | 0.818040i | \(-0.304939\pi\) |
0.996024 | − | 0.0890846i | \(-0.0283941\pi\) | |||||||
\(548\) | −11.1346 | − | 19.2856i | −0.475645 | − | 0.823842i | ||||
\(549\) | 12.1683 | + | 5.91113i | 0.519332 | + | 0.252281i | ||||
\(550\) | −21.0889 | + | 2.74913i | −0.899236 | + | 0.117223i | ||||
\(551\) | 0.0824611 | − | 0.142827i | 0.00351296 | − | 0.00608463i | ||||
\(552\) | −0.464778 | − | 13.0149i | −0.0197823 | − | 0.553951i | ||||
\(553\) | 8.74765 | + | 2.48115i | 0.371988 | + | 0.105509i | ||||
\(554\) | −15.7567 | − | 9.09715i | −0.669439 | − | 0.386501i | ||||
\(555\) | −0.811183 | + | 0.993150i | −0.0344328 | + | 0.0421569i | ||||
\(556\) | 3.61149i | 0.153161i | ||||||||
\(557\) | 12.7850 | − | 22.1443i | 0.541718 | − | 0.938284i | −0.457087 | − | 0.889422i | \(-0.651107\pi\) |
0.998806 | − | 0.0488618i | \(-0.0155594\pi\) | |||||||
\(558\) | −2.17607 | − | 30.4288i | −0.0921206 | − | 1.28815i | ||||
\(559\) | 21.8141i | 0.922636i | ||||||||
\(560\) | 0.297073 | + | 5.90862i | 0.0125536 | + | 0.249685i | ||||
\(561\) | −42.6859 | − | 22.6533i | −1.80220 | − | 0.956422i | ||||
\(562\) | − | 7.07916i | − | 0.298616i | ||||||
\(563\) | 23.9827 | − | 13.8464i | 1.01075 | − | 0.583557i | 0.0993391 | − | 0.995054i | \(-0.468327\pi\) |
0.911411 | + | 0.411497i | \(0.134994\pi\) | |||||||
\(564\) | 0.942204 | − | 0.0336473i | 0.0396740 | − | 0.00141681i | ||||
\(565\) | −9.64912 | − | 1.92571i | −0.405942 | − | 0.0810152i | ||||
\(566\) | 26.1559 | 1.09941 | ||||||||
\(567\) | 9.05307 | + | 22.0237i | 0.380193 | + | 0.924907i | ||||
\(568\) | 3.35700i | 0.140857i | ||||||||
\(569\) | 16.3160 | + | 9.42003i | 0.684001 | + | 0.394908i | 0.801361 | − | 0.598181i | \(-0.204110\pi\) |
−0.117360 | + | 0.993089i | \(0.537443\pi\) | |||||||
\(570\) | −3.91366 | − | 10.3251i | −0.163925 | − | 0.432473i | ||||
\(571\) | 5.23363 | + | 9.06492i | 0.219021 | + | 0.379355i | 0.954509 | − | 0.298183i | \(-0.0963805\pi\) |
−0.735488 | + | 0.677538i | \(0.763047\pi\) | |||||||
\(572\) | 13.7180i | 0.573578i | ||||||||
\(573\) | 16.9681 | − | 31.9731i | 0.708851 | − | 1.33570i | ||||
\(574\) | −1.84209 | + | 1.78915i | −0.0768875 | + | 0.0746778i | ||||
\(575\) | −29.8550 | + | 22.8483i | −1.24504 | + | 0.952839i | ||||
\(576\) | −2.99236 | + | 0.213994i | −0.124682 | + | 0.00891644i | ||||
\(577\) | −12.1563 | + | 21.0553i | −0.506073 | + | 0.876544i | 0.493902 | + | 0.869517i | \(0.335570\pi\) |
−0.999975 | + | 0.00702671i | \(0.997763\pi\) | |||||||
\(578\) | 26.0254 | 1.08252 | ||||||||
\(579\) | 3.21730 | + | 5.13972i | 0.133706 | + | 0.213599i | ||||
\(580\) | −0.0253154 | + | 0.126848i | −0.00105117 | + | 0.00526706i | ||||
\(581\) | 0.715052 | + | 0.736210i | 0.0296654 | + | 0.0305431i | ||||
\(582\) | −0.554260 | − | 15.5206i | −0.0229748 | − | 0.643350i | ||||
\(583\) | −7.01299 | − | 4.04895i | −0.290449 | − | 0.167691i | ||||
\(584\) | 8.45840 | − | 14.6504i | 0.350011 | − | 0.606237i | ||||
\(585\) | −21.4644 | − | 2.71005i | −0.887443 | − | 0.112047i | ||||
\(586\) | 13.0082 | − | 7.51027i | 0.537363 | − | 0.310246i | ||||
\(587\) | 13.8270 | − | 7.98305i | 0.570703 | − | 0.329496i | −0.186727 | − | 0.982412i | \(-0.559788\pi\) |
0.757430 | + | 0.652916i | \(0.226455\pi\) | |||||||
\(588\) | −5.99338 | + | 10.5394i | −0.247163 | + | 0.434638i | ||||
\(589\) | −14.4958 | + | 25.1075i | −0.597289 | + | 1.03454i | ||||
\(590\) | 0.882805 | + | 2.60610i | 0.0363445 | + | 0.107292i | ||||
\(591\) | −0.568768 | − | 15.9269i | −0.0233960 | − | 0.655144i | ||||
\(592\) | − | 0.331096i | − | 0.0136080i | ||||||
\(593\) | −15.2225 | + | 8.78872i | −0.625114 | + | 0.360910i | −0.778857 | − | 0.627201i | \(-0.784200\pi\) |
0.153743 | + | 0.988111i | \(0.450867\pi\) | |||||||
\(594\) | 8.94173 | − | 20.2121i | 0.366884 | − | 0.829314i | ||||
\(595\) | 38.7568 | − | 1.94861i | 1.58888 | − | 0.0798854i | ||||
\(596\) | −11.5735 | + | 6.68194i | −0.474068 | + | 0.273703i | ||||
\(597\) | −8.65181 | + | 16.3027i | −0.354095 | + | 0.667226i | ||||
\(598\) | 12.1248 | + | 21.0007i | 0.495819 | + | 0.858783i | ||||
\(599\) | −8.55345 | + | 4.93833i | −0.349484 | + | 0.201775i | −0.664458 | − | 0.747325i | \(-0.731338\pi\) |
0.314974 | + | 0.949100i | \(0.398004\pi\) | |||||||
\(600\) | 5.50537 | + | 6.68512i | 0.224756 | + | 0.272919i | ||||
\(601\) | −27.9885 | + | 16.1592i | −1.14168 | + | 0.659147i | −0.946845 | − | 0.321689i | \(-0.895749\pi\) |
−0.194831 | + | 0.980837i | \(0.562416\pi\) | |||||||
\(602\) | 17.3512 | − | 4.37917i | 0.707183 | − | 0.178482i | ||||
\(603\) | −21.3688 | + | 14.4626i | −0.870205 | + | 0.588962i | ||||
\(604\) | −0.445498 | − | 0.771625i | −0.0181271 | − | 0.0313970i | ||||
\(605\) | 5.08793 | + | 15.0199i | 0.206854 | + | 0.610648i | ||||
\(606\) | 4.74767 | + | 2.51958i | 0.192861 | + | 0.102351i | ||||
\(607\) | 32.4088 | 1.31543 | 0.657716 | − | 0.753266i | \(-0.271523\pi\) | ||||
0.657716 | + | 0.753266i | \(0.271523\pi\) | |||||||
\(608\) | 2.46906 | + | 1.42551i | 0.100134 | + | 0.0578122i | ||||
\(609\) | −0.183445 | + | 0.191361i | −0.00743355 | + | 0.00775433i | ||||
\(610\) | 7.57676 | + | 6.65317i | 0.306774 | + | 0.269379i | ||||
\(611\) | −1.52033 | + | 0.877764i | −0.0615060 | + | 0.0355105i | ||||
\(612\) | 1.40367 | + | 19.6280i | 0.0567400 | + | 0.793415i | ||||
\(613\) | −28.5172 | − | 16.4644i | −1.15180 | − | 0.664992i | −0.202474 | − | 0.979288i | \(-0.564898\pi\) |
−0.949325 | + | 0.314296i | \(0.898232\pi\) | |||||||
\(614\) | 11.6148 | − | 20.1174i | 0.468734 | − | 0.811871i | ||||
\(615\) | −0.603677 | + | 3.71031i | −0.0243426 | + | 0.149614i | ||||
\(616\) | 10.9115 | − | 2.75388i | 0.439636 | − | 0.110957i | ||||
\(617\) | −10.9432 | + | 18.9542i | −0.440558 | + | 0.763069i | −0.997731 | − | 0.0673277i | \(-0.978553\pi\) |
0.557173 | + | 0.830396i | \(0.311886\pi\) | |||||||
\(618\) | −19.2099 | − | 10.1946i | −0.772734 | − | 0.410088i | ||||
\(619\) | − | 16.3846i | − | 0.658551i | −0.944234 | − | 0.329276i | \(-0.893195\pi\) | ||
0.944234 | − | 0.329276i | \(-0.106805\pi\) | |||||||
\(620\) | 4.45019 | − | 22.2985i | 0.178724 | − | 0.895528i | ||||
\(621\) | −4.17590 | − | 38.8458i | −0.167573 | − | 1.55883i | ||||
\(622\) | −0.198446 | −0.00795696 | ||||||||
\(623\) | 14.0420 | − | 13.6385i | 0.562582 | − | 0.546414i | ||||
\(624\) | 4.73493 | − | 2.96391i | 0.189549 | − | 0.118651i | ||||
\(625\) | 6.53188 | − | 24.1316i | 0.261275 | − | 0.965264i | ||||
\(626\) | −1.59131 | − | 2.75623i | −0.0636016 | − | 0.110161i | ||||
\(627\) | −17.8038 | + | 11.1446i | −0.711014 | + | 0.445072i | ||||
\(628\) | −8.11868 | + | 14.0620i | −0.323971 | + | 0.561134i | ||||
\(629\) | −2.17178 | −0.0865946 | ||||||||
\(630\) | 2.15336 | + | 17.6171i | 0.0857919 | + | 0.701883i | ||||
\(631\) | 3.75165 | 0.149351 | 0.0746755 | − | 0.997208i | \(-0.476208\pi\) | ||||
0.0746755 | + | 0.997208i | \(0.476208\pi\) | |||||||
\(632\) | −1.71836 | + | 2.97629i | −0.0683528 | + | 0.118390i | ||||
\(633\) | −13.3728 | − | 7.09692i | −0.531522 | − | 0.282077i | ||||
\(634\) | 11.8116 | + | 20.4583i | 0.469099 | + | 0.812503i | ||||
\(635\) | −7.27079 | + | 2.46294i | −0.288532 | + | 0.0977389i | ||||
\(636\) | 0.117684 | + | 3.29544i | 0.00466648 | + | 0.130673i | ||||
\(637\) | 0.658139 | − | 22.5663i | 0.0260764 | − | 0.894109i | ||||
\(638\) | 0.246049 | 0.00974118 | ||||||||
\(639\) | 0.718379 | + | 10.0453i | 0.0284187 | + | 0.397388i | ||||
\(640\) | −2.19282 | − | 0.437630i | −0.0866790 | − | 0.0172988i | ||||
\(641\) | 0.643043i | 0.0253987i | 0.999919 | + | 0.0126993i | \(0.00404243\pi\) | ||||
−0.999919 | + | 0.0126993i | \(0.995958\pi\) | |||||||
\(642\) | 0.141317 | + | 3.95722i | 0.00557734 | + | 0.156179i | ||||
\(643\) | −9.73259 | + | 16.8573i | −0.383816 | + | 0.664789i | −0.991604 | − | 0.129310i | \(-0.958724\pi\) |
0.607788 | + | 0.794099i | \(0.292057\pi\) | |||||||
\(644\) | 14.2702 | − | 13.8601i | 0.562326 | − | 0.546165i | ||||
\(645\) | 16.5713 | − | 20.2886i | 0.652493 | − | 0.798861i | ||||
\(646\) | 9.35048 | − | 16.1955i | 0.367890 | − | 0.637204i | ||||
\(647\) | −16.9629 | − | 9.79351i | −0.666879 | − | 0.385023i | 0.128014 | − | 0.991772i | \(-0.459140\pi\) |
−0.794893 | + | 0.606750i | \(0.792473\pi\) | |||||||
\(648\) | −8.90841 | + | 1.28070i | −0.349956 | + | 0.0503105i | ||||
\(649\) | 4.53283 | − | 2.61703i | 0.177929 | − | 0.102727i | ||||
\(650\) | −14.8903 | − | 6.18995i | −0.584045 | − | 0.242790i | ||||
\(651\) | 32.2476 | − | 33.6392i | 1.26388 | − | 1.31843i | ||||
\(652\) | −10.6386 | − | 6.14217i | −0.416638 | − | 0.240546i | ||||
\(653\) | 44.4545 | 1.73964 | 0.869820 | − | 0.493370i | \(-0.164235\pi\) | ||||
0.869820 | + | 0.493370i | \(0.164235\pi\) | |||||||
\(654\) | 18.8057 | − | 11.7718i | 0.735362 | − | 0.460313i | ||||
\(655\) | −14.5601 | − | 42.9825i | −0.568911 | − | 1.67947i | ||||
\(656\) | −0.485297 | − | 0.840559i | −0.0189477 | − | 0.0328183i | ||||
\(657\) | 22.1755 | − | 45.6493i | 0.865148 | − | 1.78095i | ||||
\(658\) | 1.00339 | + | 1.03308i | 0.0391163 | + | 0.0402737i | ||||
\(659\) | 38.2434 | − | 22.0798i | 1.48975 | − | 0.860108i | 0.489819 | − | 0.871824i | \(-0.337063\pi\) |
0.999931 | + | 0.0117165i | \(0.00372956\pi\) | |||||||
\(660\) | 10.4210 | − | 12.7587i | 0.405637 | − | 0.496630i | ||||
\(661\) | 27.2188 | − | 15.7148i | 1.05869 | − | 0.611233i | 0.133618 | − | 0.991033i | \(-0.457340\pi\) |
0.925069 | + | 0.379800i | \(0.124007\pi\) | |||||||
\(662\) | 11.8910 | + | 20.5958i | 0.462156 | + | 0.800477i | ||||
\(663\) | −19.4414 | − | 31.0582i | −0.755042 | − | 1.20620i | ||||
\(664\) | −0.335938 | + | 0.193954i | −0.0130369 | + | 0.00752686i | ||||
\(665\) | 7.68932 | − | 15.0122i | 0.298179 | − | 0.582149i | ||||
\(666\) | −0.0708527 | − | 0.990757i | −0.00274548 | − | 0.0383911i | ||||
\(667\) | 0.376674 | − | 0.217473i | 0.0145849 | − | 0.00842058i | ||||
\(668\) | 17.1895i | 0.665080i | ||||||||
\(669\) | −43.1322 | + | 26.9994i | −1.66759 | + | 1.04386i | ||||
\(670\) | −18.2156 | + | 6.17046i | −0.703732 | + | 0.238386i | ||||
\(671\) | 9.59024 | − | 16.6108i | 0.370227 | − | 0.641252i | ||||
\(672\) | −3.30807 | − | 3.17122i | −0.127612 | − | 0.122333i | ||||
\(673\) | −30.4994 | + | 17.6088i | −1.17567 | + | 0.678771i | −0.955008 | − | 0.296581i | \(-0.904154\pi\) |
−0.220657 | + | 0.975351i | \(0.570820\pi\) | |||||||
\(674\) | −8.84127 | + | 5.10451i | −0.340553 | + | 0.196618i | ||||
\(675\) | 17.9046 | + | 18.8262i | 0.689150 | + | 0.724619i | ||||
\(676\) | 1.29928 | − | 2.25043i | 0.0499725 | − | 0.0865548i | ||||
\(677\) | −23.9797 | − | 13.8447i | −0.921615 | − | 0.532094i | −0.0374649 | − | 0.999298i | \(-0.511928\pi\) |
−0.884150 | + | 0.467203i | \(0.845262\pi\) | |||||||
\(678\) | 6.46027 | − | 4.04392i | 0.248105 | − | 0.155306i | ||||
\(679\) | 17.0176 | − | 16.5285i | 0.653076 | − | 0.634307i | ||||
\(680\) | −2.87058 | + | 14.3836i | −0.110082 | + | 0.551584i | ||||
\(681\) | 29.6923 | − | 1.06035i | 1.13781 | − | 0.0406326i | ||||
\(682\) | −43.2529 | −1.65624 | ||||||||
\(683\) | −3.51121 | + | 6.08159i | −0.134353 | + | 0.232706i | −0.925350 | − | 0.379114i | \(-0.876229\pi\) |
0.790997 | + | 0.611820i | \(0.209562\pi\) | |||||||
\(684\) | 7.69337 | + | 3.73728i | 0.294163 | + | 0.142898i | ||||
\(685\) | −15.9762 | − | 47.1629i | −0.610419 | − | 1.80200i | ||||
\(686\) | −18.0817 | + | 4.00668i | −0.690361 | + | 0.152976i | ||||
\(687\) | 19.1689 | − | 0.684546i | 0.731340 | − | 0.0261171i | ||||
\(688\) | 6.76379i | 0.257867i | ||||||||
\(689\) | −3.07005 | − | 5.31748i | −0.116960 | − | 0.202580i | ||||
\(690\) | 4.67653 | − | 28.7428i | 0.178033 | − | 1.09422i | ||||
\(691\) | 0.310049 | + | 0.179007i | 0.0117948 | + | 0.00680974i | 0.505886 | − | 0.862600i | \(-0.331166\pi\) |
−0.494091 | + | 0.869410i | \(0.664499\pi\) | |||||||
\(692\) | − | 6.58900i | − | 0.250476i | ||||||
\(693\) | 32.0618 | − | 10.5756i | 1.21793 | − | 0.401734i | ||||
\(694\) | −14.2125 | −0.539499 | ||||||||
\(695\) | −1.58050 | + | 7.91937i | −0.0599516 | + | 0.300399i | ||||
\(696\) | −0.0531614 | − | 0.0849268i | −0.00201508 | − | 0.00321914i | ||||
\(697\) | −5.51354 | + | 3.18325i | −0.208840 | + | 0.120574i | ||||
\(698\) | − | 20.8016i | − | 0.787352i | ||||||
\(699\) | −34.3991 | + | 21.5327i | −1.30109 | + | 0.814442i | ||||
\(700\) | −1.93436 | + | 13.0866i | −0.0731118 | + | 0.494626i | ||||
\(701\) | − | 37.7652i | − | 1.42637i | −0.700975 | − | 0.713186i | \(-0.747251\pi\) | ||
0.700975 | − | 0.713186i | \(-0.252749\pi\) | |||||||
\(702\) | 13.5343 | − | 9.88233i | 0.510821 | − | 0.372985i | ||||
\(703\) | −0.471981 | + | 0.817496i | −0.0178011 | + | 0.0308324i | ||||
\(704\) | 4.25348i | 0.160309i | ||||||||
\(705\) | 2.08081 | + | 0.338554i | 0.0783680 | + | 0.0127507i | ||||
\(706\) | −24.8702 | − | 14.3588i | −0.936004 | − | 0.540402i | ||||
\(707\) | 2.00912 | + | 7.96055i | 0.0755606 | + | 0.299387i | ||||
\(708\) | −1.88266 | − | 0.999124i | −0.0707548 | − | 0.0375494i | ||||
\(709\) | 5.33508 | − | 9.24063i | 0.200363 | − | 0.347039i | −0.748282 | − | 0.663380i | \(-0.769121\pi\) |
0.948645 | + | 0.316341i | \(0.102454\pi\) | |||||||
\(710\) | −1.46912 | + | 7.36131i | −0.0551352 | + | 0.276265i | ||||
\(711\) | −4.50505 | + | 9.27385i | −0.168952 | + | 0.347796i | ||||
\(712\) | 3.69936 | + | 6.40747i | 0.138639 | + | 0.240130i | ||||
\(713\) | −66.2154 | + | 38.2295i | −2.47978 | + | 1.43170i | ||||
\(714\) | −20.8012 | + | 21.6989i | −0.778467 | + | 0.812061i | ||||
\(715\) | −6.00340 | + | 30.0811i | −0.224515 | + | 1.12497i | ||||
\(716\) | − | 10.7516i | − | 0.401807i | ||||||
\(717\) | 0.711552 | − | 1.34079i | 0.0265734 | − | 0.0500726i | ||||
\(718\) | 4.74779i | 0.177186i | ||||||||
\(719\) | 14.8805 | + | 25.7738i | 0.554950 | + | 0.961202i | 0.997907 | + | 0.0646590i | \(0.0205960\pi\) |
−0.442957 | + | 0.896543i | \(0.646071\pi\) | |||||||
\(720\) | −6.65537 | − | 0.840293i | −0.248031 | − | 0.0313159i | ||||
\(721\) | −8.12921 | − | 32.2097i | −0.302747 | − | 1.19955i | ||||
\(722\) | 5.43582 | + | 9.41512i | 0.202300 | + | 0.350395i | ||||
\(723\) | 29.3896 | − | 1.04954i | 1.09301 | − | 0.0390327i | ||||
\(724\) | 15.1159 | − | 8.72717i | 0.561778 | − | 0.324343i | ||||
\(725\) | −0.111025 | + | 0.267076i | −0.00412335 | + | 0.00991894i | ||||
\(726\) | −10.8505 | − | 5.75833i | −0.402700 | − | 0.213712i | ||||
\(727\) | 15.8270 | + | 27.4132i | 0.586992 | + | 1.01670i | 0.994624 | + | 0.103554i | \(0.0330214\pi\) |
−0.407632 | + | 0.913146i | \(0.633645\pi\) | |||||||
\(728\) | 8.20906 | + | 2.32839i | 0.304248 | + | 0.0862958i | ||||
\(729\) | −26.3831 | + | 5.73865i | −0.977152 | + | 0.212543i | ||||
\(730\) | 24.9592 | − | 28.4241i | 0.923783 | − | 1.05202i | ||||
\(731\) | 44.3662 | 1.64094 | ||||||||
\(732\) | −7.80548 | + | 0.278743i | −0.288499 | + | 0.0103026i | ||||
\(733\) | −5.32798 | −0.196794 | −0.0983968 | − | 0.995147i | \(-0.531371\pi\) | ||||
−0.0983968 | + | 0.995147i | \(0.531371\pi\) | |||||||
\(734\) | −12.7735 | + | 22.1243i | −0.471478 | + | 0.816624i | ||||
\(735\) | −17.7548 | + | 20.4882i | −0.654896 | + | 0.755719i | ||||
\(736\) | 3.75947 | + | 6.51160i | 0.138576 | + | 0.240021i | ||||
\(737\) | 18.2920 | + | 31.6827i | 0.673796 | + | 1.16705i | ||||
\(738\) | −1.63206 | − | 2.41140i | −0.0600769 | − | 0.0887650i | ||||
\(739\) | 4.81913 | − | 8.34698i | 0.177275 | − | 0.307049i | −0.763672 | − | 0.645605i | \(-0.776605\pi\) |
0.940946 | + | 0.338556i | \(0.109939\pi\) | |||||||
\(740\) | 0.144897 | − | 0.726035i | 0.00532653 | − | 0.0266896i | ||||
\(741\) | −15.9159 | + | 0.568377i | −0.584686 | + | 0.0208799i | ||||
\(742\) | −3.61329 | + | 3.50945i | −0.132648 | + | 0.128836i | ||||
\(743\) | 6.25928 | − | 10.8414i | 0.229631 | − | 0.397732i | −0.728068 | − | 0.685505i | \(-0.759581\pi\) |
0.957699 | + | 0.287773i | \(0.0929148\pi\) | |||||||
\(744\) | 9.34522 | + | 14.9292i | 0.342613 | + | 0.547333i | ||||
\(745\) | −28.3028 | + | 9.58744i | −1.03693 | + | 0.351257i | ||||
\(746\) | 32.0073 | + | 18.4794i | 1.17187 | + | 0.676581i | ||||
\(747\) | −0.963741 | + | 0.652268i | −0.0352614 | + | 0.0238652i | ||||
\(748\) | 27.9001 | 1.02013 | ||||||||
\(749\) | −4.33891 | + | 4.21421i | −0.158540 | + | 0.153984i | ||||
\(750\) | 9.14671 | + | 17.0686i | 0.333991 | + | 0.623258i | ||||
\(751\) | 30.5684 | 1.11546 | 0.557728 | − | 0.830024i | \(-0.311673\pi\) | ||||
0.557728 | + | 0.830024i | \(0.311673\pi\) | |||||||
\(752\) | −0.471402 | + | 0.272164i | −0.0171903 | + | 0.00992481i | ||||
\(753\) | −0.473034 | − | 13.2461i | −0.0172383 | − | 0.482714i | ||||
\(754\) | 0.161568 | + | 0.0932813i | 0.00588396 | + | 0.00339710i | ||||
\(755\) | −0.639213 | − | 1.88700i | −0.0232633 | − | 0.0686751i | ||||
\(756\) | −10.5776 | − | 8.78153i | −0.384702 | − | 0.319381i | ||||
\(757\) | − | 5.43126i | − | 0.197403i | −0.995117 | − | 0.0987013i | \(-0.968531\pi\) | ||
0.995117 | − | 0.0987013i | \(-0.0314688\pi\) | |||||||
\(758\) | −6.37229 | + | 11.0371i | −0.231452 | + | 0.400886i | ||||
\(759\) | −55.3586 | + | 1.97692i | −2.00939 | + | 0.0717577i | ||||
\(760\) | 4.79037 | + | 4.20644i | 0.173765 | + | 0.152583i | ||||
\(761\) | −14.2887 | −0.517964 | −0.258982 | − | 0.965882i | \(-0.583387\pi\) | ||||
−0.258982 | + | 0.965882i | \(0.583387\pi\) | |||||||
\(762\) | 2.78746 | − | 5.25246i | 0.100979 | − | 0.190276i | ||||
\(763\) | 32.6039 | + | 9.24766i | 1.18034 | + | 0.334788i | ||||
\(764\) | 20.8981i | 0.756068i | ||||||||
\(765\) | −5.51180 | + | 43.6551i | −0.199279 | + | 1.57835i | ||||
\(766\) | −27.3358 | − | 15.7823i | −0.987682 | − | 0.570239i | ||||
\(767\) | 3.96864 | 0.143299 | ||||||||
\(768\) | 1.46814 | − | 0.919006i | 0.0529768 | − | 0.0331618i | ||||
\(769\) | −20.9348 | − | 12.0867i | −0.754928 | − | 0.435858i | 0.0725437 | − | 0.997365i | \(-0.476888\pi\) |
−0.827472 | + | 0.561507i | \(0.810222\pi\) | |||||||
\(770\) | 25.1322 | − | 1.26359i | 0.905700 | − | 0.0455367i | ||||
\(771\) | −11.4028 | + | 0.407207i | −0.410661 | + | 0.0146652i | ||||
\(772\) | −3.03182 | − | 1.75042i | −0.109118 | − | 0.0629990i | ||||
\(773\) | −4.26935 | − | 2.46491i | −0.153558 | − | 0.0886567i | 0.421252 | − | 0.906944i | \(-0.361591\pi\) |
−0.574810 | + | 0.818287i | \(0.694924\pi\) | |||||||
\(774\) | 1.44741 | + | 20.2397i | 0.0520262 | + | 0.727500i | ||||
\(775\) | 19.5170 | − | 46.9491i | 0.701070 | − | 1.68646i | ||||
\(776\) | 4.48327 | + | 7.76525i | 0.160940 | + | 0.278756i | ||||
\(777\) | 1.04998 | − | 1.09529i | 0.0376678 | − | 0.0392933i | ||||
\(778\) | −32.7220 | − | 18.8920i | −1.17314 | − | 0.677313i | ||||
\(779\) | 2.76719i | 0.0991449i | ||||||||
\(780\) | 11.6800 | − | 4.42719i | 0.418210 | − | 0.158519i | ||||
\(781\) | 14.2789 | 0.510940 | ||||||||
\(782\) | 42.7120 | − | 24.6598i | 1.52738 | − | 0.881833i | ||||
\(783\) | −0.177252 | − | 0.242755i | −0.00633447 | − | 0.00867536i | ||||
\(784\) | 0.204066 | − | 6.99702i | 0.00728808 | − | 0.249894i | ||||
\(785\) | −23.9568 | + | 27.2824i | −0.855054 | + | 0.973752i | ||||
\(786\) | 31.0508 | + | 16.4786i | 1.10755 | + | 0.587772i | ||||
\(787\) | −14.4124 | − | 24.9631i | −0.513748 | − | 0.889838i | −0.999873 | − | 0.0159482i | \(-0.994923\pi\) |
0.486125 | − | 0.873889i | \(-0.338410\pi\) | |||||||
\(788\) | 4.60062 | + | 7.96851i | 0.163890 | + | 0.283866i | ||||
\(789\) | 1.81499 | + | 50.8241i | 0.0646154 | + | 1.80939i | ||||
\(790\) | −5.07058 | + | 5.77448i | −0.180403 | + | 0.205447i | ||||
\(791\) | 11.2003 | + | 3.17682i | 0.398238 | + | 0.112955i | ||||
\(792\) | 0.910220 | + | 12.7279i | 0.0323433 | + | 0.452267i | ||||
\(793\) | 12.5948 | − | 7.27164i | 0.447256 | − | 0.258223i | ||||
\(794\) | 16.1651 | 0.573679 | ||||||||
\(795\) | −1.18412 | + | 7.27781i | −0.0419964 | + | 0.258117i | ||||
\(796\) | − | 10.6557i | − | 0.377682i | ||||||
\(797\) | −3.98408 | − | 2.30021i | −0.141123 | − | 0.0814776i | 0.427776 | − | 0.903885i | \(-0.359297\pi\) |
−0.568899 | + | 0.822407i | \(0.692631\pi\) | |||||||
\(798\) | 3.64721 | + | 12.5456i | 0.129110 | + | 0.444111i | ||||
\(799\) | 1.78523 | + | 3.09211i | 0.0631568 | + | 0.109391i | ||||
\(800\) | −4.61696 | − | 1.91929i | −0.163234 | − | 0.0678572i | ||||
\(801\) | 12.4410 | + | 18.3818i | 0.439580 | + | 0.649489i | ||||
\(802\) | 8.11259 | + | 4.68380i | 0.286465 | + | 0.165391i | ||||
\(803\) | −62.3151 | − | 35.9776i | −2.19905 | − | 1.26962i | ||||
\(804\) | 6.98349 | − | 13.1591i | 0.246289 | − | 0.464085i | ||||
\(805\) | 37.3577 | − | 24.1477i | 1.31669 | − | 0.851095i | ||||
\(806\) | −28.4020 | − | 16.3979i | −1.00042 | − | 0.577591i | ||||
\(807\) | −15.5895 | − | 8.27330i | −0.548776 | − | 0.291234i | ||||
\(808\) | −3.10315 | −0.109169 | ||||||||
\(809\) | 9.00006 | + | 5.19619i | 0.316425 | + | 0.182688i | 0.649798 | − | 0.760107i | \(-0.274853\pi\) |
−0.333373 | + | 0.942795i | \(0.608187\pi\) | |||||||
\(810\) | −20.0951 | − | 1.09025i | −0.706068 | − | 0.0383073i | ||||
\(811\) | 37.3233i | 1.31060i | 0.755369 | + | 0.655299i | \(0.227457\pi\) | ||||
−0.755369 | + | 0.655299i | \(0.772543\pi\) | |||||||
\(812\) | 0.0417625 | − | 0.147240i | 0.00146558 | − | 0.00516710i | ||||
\(813\) | 26.2035 | + | 41.8608i | 0.918996 | + | 1.46812i | ||||
\(814\) | −1.40831 | −0.0493612 | ||||||||
\(815\) | −20.6405 | − | 18.1245i | −0.723005 | − | 0.634872i | ||||
\(816\) | −6.02811 | − | 9.63007i | −0.211026 | − | 0.337120i | ||||
\(817\) | 9.64187 | − | 16.7002i | 0.337326 | − | 0.584266i | ||||
\(818\) | 18.2495i | 0.638079i | ||||||||
\(819\) | 25.0627 | + | 5.21068i | 0.875762 | + | 0.182076i | ||||
\(820\) | −0.696318 | − | 2.05558i | −0.0243165 | − | 0.0717839i | ||||
\(821\) | 8.33276 | + | 4.81092i | 0.290815 | + | 0.167902i | 0.638310 | − | 0.769780i | \(-0.279634\pi\) |
−0.347494 | + | 0.937682i | \(0.612967\pi\) | |||||||
\(822\) | 34.0707 | + | 18.0812i | 1.18835 | + | 0.630655i | ||||
\(823\) | 29.2450 | − | 16.8846i | 1.01941 | − | 0.588560i | 0.105481 | − | 0.994421i | \(-0.466362\pi\) |
0.913934 | + | 0.405862i | \(0.133029\pi\) | |||||||
\(824\) | 12.5559 | 0.437404 | ||||||||
\(825\) | 28.4350 | − | 23.4170i | 0.989980 | − | 0.815274i | ||||
\(826\) | −0.796703 | − | 3.15671i | −0.0277209 | − | 0.109836i | ||||
\(827\) | −3.56688 | −0.124032 | −0.0620162 | − | 0.998075i | \(-0.519753\pi\) | ||||
−0.0620162 | + | 0.998075i | \(0.519753\pi\) | |||||||
\(828\) | 12.6431 | + | 18.6805i | 0.439379 | + | 0.649193i | ||||
\(829\) | −26.6295 | − | 15.3746i | −0.924881 | − | 0.533980i | −0.0396920 | − | 0.999212i | \(-0.512638\pi\) |
−0.885189 | + | 0.465232i | \(0.845971\pi\) | |||||||
\(830\) | −0.821532 | + | 0.278290i | −0.0285158 | + | 0.00965959i | ||||
\(831\) | 31.4934 | − | 1.12467i | 1.09249 | − | 0.0390143i | ||||
\(832\) | −1.61256 | + | 2.79304i | −0.0559055 | + | 0.0968313i | ||||
\(833\) | −45.8961 | − | 1.33855i | −1.59021 | − | 0.0463779i | ||||
\(834\) | −3.31898 | − | 5.30216i | −0.114927 | − | 0.183599i | ||||
\(835\) | −7.52262 | + | 37.6935i | −0.260331 | + | 1.30444i | ||||
\(836\) | 6.06339 | − | 10.5021i | 0.209707 | − | 0.363222i | ||||
\(837\) | 31.1590 | + | 42.6738i | 1.07701 | + | 1.47502i | ||||
\(838\) | −5.45769 | − | 9.45300i | −0.188533 | − | 0.326549i | ||||
\(839\) | −24.9770 | − | 43.2615i | −0.862302 | − | 1.49355i | −0.869701 | − | 0.493578i | \(-0.835689\pi\) |
0.00739911 | − | 0.999973i | \(-0.497645\pi\) | |||||||
\(840\) | −5.86620 | − | 8.40165i | −0.202403 | − | 0.289884i | ||||
\(841\) | −14.4983 | + | 25.1118i | −0.499942 | + | 0.865925i | ||||
\(842\) | −9.59402 | −0.330632 | ||||||||
\(843\) | 6.50579 | + | 10.3932i | 0.224071 | + | 0.357960i | ||||
\(844\) | 8.74068 | 0.300867 | ||||||||
\(845\) | 3.83395 | − | 4.36618i | 0.131892 | − | 0.150201i | ||||
\(846\) | −1.35236 | + | 0.915290i | −0.0464952 | + | 0.0314683i | ||||
\(847\) | −4.59170 | − | 18.1933i | −0.157773 | − | 0.625130i | ||||
\(848\) | −0.951917 | − | 1.64877i | −0.0326890 | − | 0.0566189i | ||||
\(849\) | −38.4005 | + | 24.0374i | −1.31790 | + | 0.824963i | ||||
\(850\) | −12.5894 | + | 30.2844i | −0.431811 | + | 1.03875i | ||||
\(851\) | −2.15596 | + | 1.24475i | −0.0739054 | + | 0.0426693i | ||||
\(852\) | −3.08510 | − | 4.92854i | −0.105694 | − | 0.168849i | ||||
\(853\) | −6.54348 | − | 11.3336i | −0.224044 | − | 0.388056i | 0.731988 | − | 0.681318i | \(-0.238593\pi\) |
−0.956032 | + | 0.293261i | \(0.905259\pi\) | |||||||
\(854\) | −8.31238 | − | 8.55834i | −0.284444 | − | 0.292860i | ||||
\(855\) | 15.2347 | + | 11.5620i | 0.521014 | + | 0.395414i | ||||
\(856\) | −1.14308 | − | 1.97987i | −0.0390696 | − | 0.0676706i | ||||
\(857\) | − | 36.4596i | − | 1.24544i | −0.782447 | − | 0.622718i | \(-0.786028\pi\) | ||
0.782447 | − | 0.622718i | \(-0.213972\pi\) | |||||||
\(858\) | −12.6069 | − | 20.1399i | −0.430393 | − | 0.687565i | ||||
\(859\) | − | 11.4104i | − | 0.389319i | −0.980871 | − | 0.194660i | \(-0.937640\pi\) | ||
0.980871 | − | 0.194660i | \(-0.0623602\pi\) | |||||||
\(860\) | −2.96004 | + | 14.8318i | −0.100936 | + | 0.505760i | ||||
\(861\) | 1.06020 | − | 4.31962i | 0.0361316 | − | 0.147212i | ||||
\(862\) | −17.0044 | + | 9.81749i | −0.579172 | + | 0.334385i | ||||
\(863\) | −16.1265 | − | 27.9320i | −0.548954 | − | 0.950816i | −0.998347 | − | 0.0574817i | \(-0.981693\pi\) |
0.449393 | − | 0.893334i | \(-0.351640\pi\) | |||||||
\(864\) | 4.19653 | − | 3.06417i | 0.142769 | − | 0.104245i | ||||
\(865\) | 2.88354 | − | 14.4485i | 0.0980434 | − | 0.491264i | ||||
\(866\) | −14.3693 | + | 24.8884i | −0.488289 | + | 0.845741i | ||||
\(867\) | −38.2089 | + | 23.9175i | −1.29764 | + | 0.812282i | ||||
\(868\) | −7.34142 | + | 25.8832i | −0.249184 | + | 0.878533i | ||||
\(869\) | 12.6596 | + | 7.30901i | 0.429447 | + | 0.247941i | ||||
\(870\) | −0.0794072 | − | 0.209495i | −0.00269216 | − | 0.00710253i | ||||
\(871\) | 27.7392i | 0.939908i | ||||||||
\(872\) | −6.40462 | + | 11.0931i | −0.216888 | + | 0.375661i | ||||
\(873\) | 15.0773 | + | 22.2770i | 0.510288 | + | 0.753963i | ||||
\(874\) | − | 21.4367i | − | 0.725108i | ||||||
\(875\) | −9.96878 | + | 27.8500i | −0.337006 | + | 0.941502i | ||||
\(876\) | 1.04570 | + | 29.2821i | 0.0353309 | + | 0.989351i | ||||
\(877\) | 12.9822i | 0.438379i | 0.975682 | + | 0.219189i | \(0.0703412\pi\) | ||||
−0.975682 | + | 0.219189i | \(0.929659\pi\) | |||||||
\(878\) | −14.7853 | + | 8.53628i | −0.498978 | + | 0.288085i | ||||
\(879\) | −12.1958 | + | 22.9807i | −0.411354 | + | 0.775120i | ||||
\(880\) | −1.86145 | + | 9.32713i | −0.0627494 | + | 0.314417i | ||||
\(881\) | 13.5811 | 0.457560 | 0.228780 | − | 0.973478i | \(-0.426526\pi\) | ||||
0.228780 | + | 0.973478i | \(0.426526\pi\) | |||||||
\(882\) | −0.886685 | − | 20.9813i | −0.0298562 | − | 0.706476i | ||||
\(883\) | − | 15.6250i | − | 0.525823i | −0.964820 | − | 0.262911i | \(-0.915317\pi\) | ||
0.964820 | − | 0.262911i | \(-0.0846827\pi\) | |||||||
\(884\) | 18.3206 | + | 10.5774i | 0.616189 | + | 0.355757i | ||||
\(885\) | −3.69110 | − | 3.01481i | −0.124075 | − | 0.101342i | ||||
\(886\) | −14.9365 | − | 25.8707i | −0.501800 | − | 0.869143i | ||||
\(887\) | 31.2381i | 1.04887i | 0.851449 | + | 0.524437i | \(0.175724\pi\) | ||||
−0.851449 | + | 0.524437i | \(0.824276\pi\) | |||||||
\(888\) | 0.304279 | + | 0.486094i | 0.0102109 | + | 0.0163122i | ||||
\(889\) | 8.80693 | − | 2.22273i | 0.295375 | − | 0.0745479i | ||||
\(890\) | 5.30794 | + | 15.6694i | 0.177922 | + | 0.525240i | ||||
\(891\) | 5.44741 | + | 37.8917i | 0.182495 | + | 1.26942i | ||||
\(892\) | 14.6894 | − | 25.4429i | 0.491839 | − | 0.851890i | ||||
\(893\) | 1.55190 | 0.0519322 | ||||||||
\(894\) | 10.8507 | − | 20.4461i | 0.362901 | − | 0.683820i | ||||
\(895\) | 4.70523 | − | 23.5764i | 0.157279 | − | 0.788073i | ||||
\(896\) | 2.54535 | + | 0.721953i | 0.0850340 | + | 0.0241188i | ||||
\(897\) | −37.1006 | − | 19.6892i | −1.23875 | − | 0.657403i | ||||
\(898\) | 25.9884 | + | 15.0044i | 0.867244 | + | 0.500704i | ||||
\(899\) | −0.294116 | + | 0.509424i | −0.00980933 | + | 0.0169903i | ||||
\(900\) | −14.2263 | − | 4.75520i | −0.474211 | − | 0.158507i | ||||
\(901\) | −10.8149 | + | 6.24398i | −0.360296 | + | 0.208017i | ||||
\(902\) | −3.57530 | + | 2.06420i | −0.119044 | + | 0.0687303i | ||||
\(903\) | −21.4495 | + | 22.3751i | −0.713794 | + | 0.744597i | ||||
\(904\) | −2.20016 | + | 3.81078i | −0.0731762 | + | 0.126745i | ||||
\(905\) | 36.9658 | − | 12.5220i | 1.22878 | − | 0.416245i | ||||
\(906\) | 1.36318 | + | 0.723436i | 0.0452887 | + | 0.0240346i | ||||
\(907\) | − | 17.9546i | − | 0.596173i | −0.954539 | − | 0.298086i | \(-0.903652\pi\) | ||
0.954539 | − | 0.298086i | \(-0.0963484\pi\) | |||||||
\(908\) | −14.8556 | + | 8.57689i | −0.493001 | + | 0.284634i | ||||
\(909\) | −9.28574 | + | 0.664058i | −0.307989 | + | 0.0220254i | ||||
\(910\) | 16.9821 | + | 8.69828i | 0.562950 | + | 0.288345i | ||||
\(911\) | 2.41770 | − | 1.39586i | 0.0801020 | − | 0.0462469i | −0.459414 | − | 0.888222i | \(-0.651941\pi\) |
0.539516 | + | 0.841975i | \(0.318607\pi\) | |||||||
\(912\) | −4.93498 | + | 0.176234i | −0.163413 | + | 0.00583569i | ||||
\(913\) | 0.824977 | + | 1.42890i | 0.0273028 | + | 0.0472898i | ||||
\(914\) | 0.248131 | − | 0.143259i | 0.00820744 | − | 0.00473857i | ||||
\(915\) | −17.2380 | − | 2.80468i | −0.569872 | − | 0.0927197i | ||||
\(916\) | −9.59057 | + | 5.53712i | −0.316882 | + | 0.182952i | ||||
\(917\) | 13.1401 | + | 52.0638i | 0.433923 | + | 1.71930i | ||||
\(918\) | −20.0990 | − | 27.5266i | −0.663367 | − | 0.908514i | ||||
\(919\) | 9.73375 | + | 16.8593i | 0.321087 | + | 0.556139i | 0.980713 | − | 0.195456i | \(-0.0626185\pi\) |
−0.659626 | + | 0.751594i | \(0.729285\pi\) | |||||||
\(920\) | 5.39420 | + | 15.9241i | 0.177841 | + | 0.525000i | ||||
\(921\) | 1.43592 | + | 40.2091i | 0.0473151 | + | 1.32493i | ||||
\(922\) | −20.0714 | −0.661016 | ||||||||
\(923\) | 9.37624 | + | 5.41337i | 0.308623 | + | 0.178183i | ||||
\(924\) | −13.4887 | + | 14.0708i | −0.443746 | + | 0.462895i | ||||
\(925\) | 0.635469 | − | 1.52866i | 0.0208941 | − | 0.0502619i | ||||
\(926\) | −13.2014 | + | 7.62183i | −0.433825 | + | 0.250469i | ||||
\(927\) | 37.5716 | − | 2.68688i | 1.23401 | − | 0.0882489i | ||||
\(928\) | 0.0500967 | + | 0.0289233i | 0.00164450 | + | 0.000949454i | ||||
\(929\) | −8.15506 | + | 14.1250i | −0.267559 | + | 0.463426i | −0.968231 | − | 0.250058i | \(-0.919550\pi\) |
0.700672 | + | 0.713484i | \(0.252884\pi\) | |||||||
\(930\) | 13.9590 | + | 36.8270i | 0.457732 | + | 1.20760i | ||||
\(931\) | −10.4782 | + | 16.9852i | −0.343409 | + | 0.556667i | ||||
\(932\) | 11.7152 | − | 20.2913i | 0.383745 | − | 0.664665i | ||||
\(933\) | 0.291346 | − | 0.182373i | 0.00953825 | − | 0.00597063i | ||||
\(934\) | − | 14.6272i | − | 0.478617i | ||||||
\(935\) | 61.1801 | + | 12.2099i | 2.00080 | + | 0.399308i | ||||
\(936\) | −4.22767 | + | 8.70286i | −0.138186 | + | 0.284462i | ||||
\(937\) | 22.1662 | 0.724138 | 0.362069 | − | 0.932151i | \(-0.382070\pi\) | ||||
0.362069 | + | 0.932151i | \(0.382070\pi\) | |||||||
\(938\) | 22.0642 | − | 5.56865i | 0.720421 | − | 0.181823i | ||||
\(939\) | 4.86926 | + | 2.58410i | 0.158902 | + | 0.0843290i | ||||
\(940\) | −1.15281 | + | 0.390509i | −0.0376005 | + | 0.0127370i | ||||
\(941\) | −1.98371 | − | 3.43589i | −0.0646671 | − | 0.112007i | 0.831879 | − | 0.554957i | \(-0.187265\pi\) |
−0.896546 | + | 0.442950i | \(0.853932\pi\) | |||||||
\(942\) | −1.00370 | − | 28.1060i | −0.0327023 | − | 0.915743i | ||||
\(943\) | −3.64892 | + | 6.32012i | −0.118825 | + | 0.205811i | ||||
\(944\) | 1.23054 | 0.0400506 | ||||||||
\(945\) | −19.3517 | − | 23.8854i | −0.629510 | − | 0.776992i | ||||
\(946\) | 28.7696 | 0.935380 | ||||||||
\(947\) | −27.1246 | + | 46.9812i | −0.881431 | + | 1.52668i | −0.0316810 | + | 0.999498i | \(0.510086\pi\) |
−0.849750 | + | 0.527186i | \(0.823247\pi\) | |||||||
\(948\) | −0.212439 | − | 5.94879i | −0.00689969 | − | 0.193208i | ||||
\(949\) | −27.2794 | − | 47.2493i | −0.885527 | − | 1.53378i | ||||
\(950\) | 8.66358 | + | 11.3204i | 0.281084 | + | 0.367282i | ||||
\(951\) | −36.1424 | − | 19.1807i | −1.17200 | − | 0.621975i | ||||
\(952\) | 4.73556 | − | 16.6959i | 0.153480 | − | 0.541117i | ||||
\(953\) | 22.6579 | 0.733960 | 0.366980 | − | 0.930229i | \(-0.380392\pi\) | ||||
0.366980 | + | 0.930229i | \(0.380392\pi\) | |||||||
\(954\) | −3.20130 | − | 4.73000i | −0.103646 | − | 0.153139i | ||||
\(955\) | −9.14565 | + | 45.8260i | −0.295946 | + | 1.48289i | ||||
\(956\) | 0.876359i | 0.0283435i | ||||||||
\(957\) | −0.361234 | + | 0.226121i | −0.0116770 | + | 0.00730945i | ||||
\(958\) | 3.28577 | − | 5.69112i | 0.106158 | − | 0.183872i | ||||
\(959\) | 14.4180 | + | 57.1273i | 0.465582 | + | 1.84474i | ||||
\(960\) | 3.62155 | − | 1.37272i | 0.116885 | − | 0.0443043i | ||||
\(961\) | 36.2026 | − | 62.7047i | 1.16783 | − | 2.02273i | ||||
\(962\) | −0.924764 | − | 0.533913i | −0.0298156 | − | 0.0172140i | ||||
\(963\) | −3.84418 | − | 5.67987i | −0.123877 | − | 0.183031i | ||||
\(964\) | −14.7042 | + | 8.48945i | −0.473589 | + | 0.273427i | ||||
\(965\) | −5.88221 | − | 5.16518i | −0.189355 | − | 0.166273i | ||||
\(966\) | −8.21312 | + | 33.4630i | −0.264253 | + | 1.07665i | ||||
\(967\) | −41.1433 | − | 23.7541i | −1.32308 | − | 0.763880i | −0.338860 | − | 0.940837i | \(-0.610041\pi\) |
−0.984219 | + | 0.176957i | \(0.943375\pi\) | |||||||
\(968\) | 7.09205 | 0.227947 | ||||||||
\(969\) | 1.15599 | + | 32.3704i | 0.0371356 | + | 1.03989i | ||||
\(970\) | 6.43272 | + | 18.9899i | 0.206542 | + | 0.609727i | ||||
\(971\) | −16.4415 | − | 28.4776i | −0.527634 | − | 0.913888i | −0.999481 | − | 0.0322080i | \(-0.989746\pi\) |
0.471848 | − | 0.881680i | \(-0.343587\pi\) | |||||||
\(972\) | 11.9018 | − | 10.0671i | 0.381751 | − | 0.322903i | ||||
\(973\) | 2.60733 | − | 9.19249i | 0.0835870 | − | 0.294698i | ||||
\(974\) | 11.8823 | − | 6.86022i | 0.380732 | − | 0.219816i | ||||
\(975\) | 27.5496 | − | 4.59656i | 0.882293 | − | 0.147208i | ||||
\(976\) | 3.90523 | − | 2.25468i | 0.125003 | − | 0.0721707i | ||||
\(977\) | 12.6826 | + | 21.9669i | 0.405752 | + | 0.702783i | 0.994409 | − | 0.105600i | \(-0.0336763\pi\) |
−0.588657 | + | 0.808383i | \(0.700343\pi\) | |||||||
\(978\) | 21.2636 | − | 0.759348i | 0.679934 | − | 0.0242813i | ||||
\(979\) | 27.2540 | − | 15.7351i | 0.871042 | − | 0.502896i | ||||
\(980\) | 3.50959 | − | 15.2539i | 0.112110 | − | 0.487269i | ||||
\(981\) | −16.7910 | + | 34.5651i | −0.536097 | + | 1.10358i | ||||
\(982\) | −10.5069 | + | 6.06619i | −0.335290 | + | 0.193580i | ||||
\(983\) | 45.9352i | 1.46511i | 0.680710 | + | 0.732553i | \(0.261671\pi\) | ||||
−0.680710 | + | 0.732553i | \(0.738329\pi\) | |||||||
\(984\) | 1.48496 | + | 0.788065i | 0.0473389 | + | 0.0251226i | ||||
\(985\) | 6.60110 | + | 19.4869i | 0.210329 | + | 0.620905i | ||||
\(986\) | 0.189719 | − | 0.328603i | 0.00604188 | − | 0.0104648i | ||||
\(987\) | −2.42253 | − | 0.594583i | −0.0771099 | − | 0.0189258i | ||||
\(988\) | 7.96303 | − | 4.59746i | 0.253338 | − | 0.146265i | ||||
\(989\) | 44.0431 | − | 25.4283i | 1.40049 | − | 0.808572i | ||||
\(990\) | −3.57416 | + | 28.3084i | −0.113594 | + | 0.899701i | ||||
\(991\) | 7.89796 | − | 13.6797i | 0.250887 | − | 0.434549i | −0.712883 | − | 0.701283i | \(-0.752611\pi\) |
0.963770 | + | 0.266734i | \(0.0859444\pi\) | |||||||
\(992\) | −8.80647 | − | 5.08442i | −0.279606 | − | 0.161430i | ||||
\(993\) | −36.3852 | − | 19.3095i | −1.15465 | − | 0.612770i | ||||
\(994\) | 2.42360 | − | 8.54473i | 0.0768718 | − | 0.271022i | ||||
\(995\) | 4.66326 | − | 23.3661i | 0.147835 | − | 0.740756i | ||||
\(996\) | 0.314958 | − | 0.593479i | 0.00997982 | − | 0.0188051i | ||||
\(997\) | 24.1022 | 0.763324 | 0.381662 | − | 0.924302i | \(-0.375352\pi\) | ||||
0.381662 | + | 0.924302i | \(0.375352\pi\) | |||||||
\(998\) | −7.51355 | + | 13.0139i | −0.237837 | + | 0.411946i | ||||
\(999\) | 1.01453 | + | 1.38945i | 0.0320984 | + | 0.0439604i |
(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 | 630.2.r.b.59.13 | yes | 48 | |
3.2 | odd | 2 | 1890.2.r.a.1529.15 | 48 | |||
5.4 | even | 2 | 630.2.r.a.59.12 | ✓ | 48 | ||
7.5 | odd | 6 | 630.2.bi.a.509.21 | yes | 48 | ||
9.2 | odd | 6 | 630.2.bi.b.479.4 | yes | 48 | ||
9.7 | even | 3 | 1890.2.bi.a.899.23 | 48 | |||
15.14 | odd | 2 | 1890.2.r.b.1529.15 | 48 | |||
21.5 | even | 6 | 1890.2.bi.b.719.7 | 48 | |||
35.19 | odd | 6 | 630.2.bi.b.509.4 | yes | 48 | ||
45.29 | odd | 6 | 630.2.bi.a.479.21 | yes | 48 | ||
45.34 | even | 6 | 1890.2.bi.b.899.7 | 48 | |||
63.47 | even | 6 | 630.2.r.a.299.12 | yes | 48 | ||
63.61 | odd | 6 | 1890.2.r.b.89.15 | 48 | |||
105.89 | even | 6 | 1890.2.bi.a.719.23 | 48 | |||
315.124 | odd | 6 | 1890.2.r.a.89.15 | 48 | |||
315.299 | even | 6 | inner | 630.2.r.b.299.13 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.r.a.59.12 | ✓ | 48 | 5.4 | even | 2 | ||
630.2.r.a.299.12 | yes | 48 | 63.47 | even | 6 | ||
630.2.r.b.59.13 | yes | 48 | 1.1 | even | 1 | trivial | |
630.2.r.b.299.13 | yes | 48 | 315.299 | even | 6 | inner | |
630.2.bi.a.479.21 | yes | 48 | 45.29 | odd | 6 | ||
630.2.bi.a.509.21 | yes | 48 | 7.5 | odd | 6 | ||
630.2.bi.b.479.4 | yes | 48 | 9.2 | odd | 6 | ||
630.2.bi.b.509.4 | yes | 48 | 35.19 | odd | 6 | ||
1890.2.r.a.89.15 | 48 | 315.124 | odd | 6 | |||
1890.2.r.a.1529.15 | 48 | 3.2 | odd | 2 | |||
1890.2.r.b.89.15 | 48 | 63.61 | odd | 6 | |||
1890.2.r.b.1529.15 | 48 | 15.14 | odd | 2 | |||
1890.2.bi.a.719.23 | 48 | 105.89 | even | 6 | |||
1890.2.bi.a.899.23 | 48 | 9.7 | even | 3 | |||
1890.2.bi.b.719.7 | 48 | 21.5 | even | 6 | |||
1890.2.bi.b.899.7 | 48 | 45.34 | even | 6 |