Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(11,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 44, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bc (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(1200\) |
Relative dimension: | \(60\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Character | \(\chi\) | \(=\) | 483.11 |
Dual form | 483.2.bc.a.44.5 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{9}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13087 | + | 2.19357i | −0.799643 | + | 1.55109i | 0.0344108 | + | 0.999408i | \(0.489045\pi\) |
−0.834054 | + | 0.551683i | \(0.813986\pi\) | |||||||
\(3\) | −1.61171 | + | 0.634352i | −0.930519 | + | 0.366244i | ||||
\(4\) | −2.37279 | − | 3.33212i | −1.18640 | − | 1.66606i | ||||
\(5\) | −2.21831 | − | 2.11515i | −0.992058 | − | 0.945925i | 0.00648043 | − | 0.999979i | \(-0.497937\pi\) |
−0.998538 | + | 0.0540540i | \(0.982786\pi\) | |||||||
\(6\) | 0.431125 | − | 4.25276i | 0.176006 | − | 1.73618i | ||||
\(7\) | 0.0462933 | − | 2.64535i | 0.0174972 | − | 0.999847i | ||||
\(8\) | 5.10697 | − | 0.734272i | 1.80559 | − | 0.259604i | ||||
\(9\) | 2.19519 | − | 2.04478i | 0.731731 | − | 0.681593i | ||||
\(10\) | 7.14835 | − | 2.47407i | 2.26051 | − | 0.782369i | ||||
\(11\) | −4.07170 | + | 2.09911i | −1.22766 | + | 0.632905i | −0.945237 | − | 0.326384i | \(-0.894170\pi\) |
−0.282427 | + | 0.959289i | \(0.591139\pi\) | |||||||
\(12\) | 5.93799 | + | 3.86522i | 1.71415 | + | 1.11579i | ||||
\(13\) | −2.88672 | + | 3.33145i | −0.800631 | + | 0.923978i | −0.998416 | − | 0.0562677i | \(-0.982080\pi\) |
0.197784 | + | 0.980246i | \(0.436625\pi\) | |||||||
\(14\) | 5.75041 | + | 3.09308i | 1.53686 | + | 0.826660i | ||||
\(15\) | 4.91701 | + | 2.00182i | 1.26957 | + | 0.516867i | ||||
\(16\) | −1.48880 | + | 4.30160i | −0.372200 | + | 1.07540i | ||||
\(17\) | 1.34697 | + | 0.128620i | 0.326688 | + | 0.0311949i | 0.257112 | − | 0.966382i | \(-0.417229\pi\) |
0.0695764 | + | 0.997577i | \(0.477835\pi\) | |||||||
\(18\) | 2.00290 | + | 7.12769i | 0.472089 | + | 1.68001i | ||||
\(19\) | 0.426531 | + | 4.46684i | 0.0978530 | + | 1.02476i | 0.902407 | + | 0.430884i | \(0.141798\pi\) |
−0.804554 | + | 0.593879i | \(0.797596\pi\) | |||||||
\(20\) | −1.78436 | + | 12.4105i | −0.398995 | + | 2.77507i | ||||
\(21\) | 1.60347 | + | 4.29289i | 0.349906 | + | 0.936785i | ||||
\(22\) | − | 11.3054i | − | 2.41032i | ||||||
\(23\) | 3.22951 | − | 3.54546i | 0.673400 | − | 0.739279i | ||||
\(24\) | −7.76515 | + | 4.42305i | −1.58506 | + | 0.902852i | ||||
\(25\) | 0.209111 | + | 4.38978i | 0.0418222 | + | 0.877957i | ||||
\(26\) | −4.04329 | − | 10.0997i | −0.792954 | − | 1.98070i | ||||
\(27\) | −2.24090 | + | 4.68811i | −0.431261 | + | 0.902227i | ||||
\(28\) | −8.92447 | + | 6.12261i | −1.68657 | + | 1.15706i | ||||
\(29\) | −1.87362 | + | 0.855656i | −0.347923 | + | 0.158891i | −0.581709 | − | 0.813397i | \(-0.697616\pi\) |
0.233786 | + | 0.972288i | \(0.424889\pi\) | |||||||
\(30\) | −9.95161 | + | 8.52205i | −1.81691 | + | 1.55591i | ||||
\(31\) | 3.25137 | + | 1.30165i | 0.583964 | + | 0.233784i | 0.644784 | − | 0.764365i | \(-0.276947\pi\) |
−0.0608202 | + | 0.998149i | \(0.519372\pi\) | |||||||
\(32\) | −0.631338 | − | 0.662128i | −0.111606 | − | 0.117049i | ||||
\(33\) | 5.23081 | − | 5.96604i | 0.910567 | − | 1.03855i | ||||
\(34\) | −1.80538 | + | 2.80922i | −0.309620 | + | 0.481778i | ||||
\(35\) | −5.69800 | + | 5.77028i | −0.963138 | + | 0.975355i | ||||
\(36\) | −12.0222 | − | 2.46282i | −2.00370 | − | 0.410469i | ||||
\(37\) | 8.57928 | − | 2.08131i | 1.41042 | − | 0.342165i | 0.543000 | − | 0.839733i | \(-0.317288\pi\) |
0.867425 | + | 0.497568i | \(0.165773\pi\) | |||||||
\(38\) | −10.2807 | − | 4.11577i | −1.66775 | − | 0.667666i | ||||
\(39\) | 2.53923 | − | 7.20051i | 0.406602 | − | 1.15300i | ||||
\(40\) | −12.8819 | − | 9.17319i | −2.03681 | − | 1.45041i | ||||
\(41\) | −0.489606 | − | 1.66745i | −0.0764637 | − | 0.260411i | 0.912385 | − | 0.409332i | \(-0.134238\pi\) |
−0.988849 | + | 0.148921i | \(0.952420\pi\) | |||||||
\(42\) | −11.2301 | − | 1.33735i | −1.73284 | − | 0.206357i | ||||
\(43\) | 9.39608 | + | 1.35095i | 1.43289 | + | 0.206018i | 0.814642 | − | 0.579965i | \(-0.196934\pi\) |
0.618248 | + | 0.785983i | \(0.287843\pi\) | |||||||
\(44\) | 16.6558 | + | 8.58666i | 2.51096 | + | 1.29449i | ||||
\(45\) | −9.19464 | − | 0.107219i | −1.37066 | − | 0.0159833i | ||||
\(46\) | 4.12508 | + | 11.0936i | 0.608209 | + | 1.63566i | ||||
\(47\) | 0.205087 | − | 0.118407i | 0.0299150 | − | 0.0172714i | −0.484968 | − | 0.874532i | \(-0.661169\pi\) |
0.514883 | + | 0.857261i | \(0.327835\pi\) | |||||||
\(48\) | −0.329225 | − | 7.87734i | −0.0475195 | − | 1.13700i | ||||
\(49\) | −6.99571 | − | 0.244924i | −0.999388 | − | 0.0349891i | ||||
\(50\) | −9.86579 | − | 4.50556i | −1.39523 | − | 0.637182i | ||||
\(51\) | −2.25251 | + | 0.647156i | −0.315414 | + | 0.0906199i | ||||
\(52\) | 17.9504 | + | 1.71405i | 2.48927 | + | 0.237697i | ||||
\(53\) | 8.85818 | − | 1.70727i | 1.21676 | − | 0.234512i | 0.459832 | − | 0.888006i | \(-0.347910\pi\) |
0.756932 | + | 0.653494i | \(0.226697\pi\) | |||||||
\(54\) | −7.74956 | − | 10.2172i | −1.05458 | − | 1.39038i | ||||
\(55\) | 13.4722 | + | 3.95580i | 1.81659 | + | 0.533400i | ||||
\(56\) | −1.70598 | − | 13.5437i | −0.227972 | − | 1.80985i | ||||
\(57\) | −3.52099 | − | 6.92866i | −0.466367 | − | 0.917723i | ||||
\(58\) | 0.241874 | − | 5.07757i | 0.0317596 | − | 0.666717i | ||||
\(59\) | −7.27091 | + | 2.51649i | −0.946592 | + | 0.327619i | −0.756386 | − | 0.654126i | \(-0.773037\pi\) |
−0.190206 | + | 0.981744i | \(0.560916\pi\) | |||||||
\(60\) | −4.99677 | − | 21.1340i | −0.645080 | − | 2.72839i | ||||
\(61\) | −5.09370 | − | 6.47717i | −0.652181 | − | 0.829316i | 0.341695 | − | 0.939811i | \(-0.388999\pi\) |
−0.993877 | + | 0.110495i | \(0.964756\pi\) | |||||||
\(62\) | −6.53214 | + | 5.66013i | −0.829582 | + | 0.718837i | ||||
\(63\) | −5.30753 | − | 5.90171i | −0.668686 | − | 0.743545i | ||||
\(64\) | −6.56875 | + | 1.92876i | −0.821094 | + | 0.241095i | ||||
\(65\) | 13.4502 | − | 1.28433i | 1.66829 | − | 0.159302i | ||||
\(66\) | 7.17160 | + | 18.2210i | 0.882763 | + | 2.24285i | ||||
\(67\) | −8.49109 | + | 0.404480i | −1.03735 | + | 0.0494151i | −0.559340 | − | 0.828938i | \(-0.688945\pi\) |
−0.478012 | + | 0.878353i | \(0.658642\pi\) | |||||||
\(68\) | −2.76750 | − | 4.79346i | −0.335609 | − | 0.581292i | ||||
\(69\) | −2.95595 | + | 7.76288i | −0.355855 | + | 0.934541i | ||||
\(70\) | −6.21385 | − | 19.0244i | −0.742697 | − | 2.27385i | ||||
\(71\) | 8.27138 | + | 12.8705i | 0.981632 | + | 1.52745i | 0.843566 | + | 0.537026i | \(0.180452\pi\) |
0.138066 | + | 0.990423i | \(0.455911\pi\) | |||||||
\(72\) | 9.70937 | − | 12.0545i | 1.14426 | − | 1.42064i | ||||
\(73\) | 4.40352 | + | 6.18388i | 0.515393 | + | 0.723768i | 0.987473 | − | 0.157787i | \(-0.0504360\pi\) |
−0.472080 | + | 0.881556i | \(0.656497\pi\) | |||||||
\(74\) | −5.13651 | + | 21.1730i | −0.597107 | + | 2.46131i | ||||
\(75\) | −3.12170 | − | 6.94239i | −0.360462 | − | 0.801638i | ||||
\(76\) | 13.8720 | − | 12.0201i | 1.59123 | − | 1.37881i | ||||
\(77\) | 5.36437 | + | 10.8682i | 0.611327 | + | 1.23855i | ||||
\(78\) | 12.9233 | + | 13.7128i | 1.46328 | + | 1.55267i | ||||
\(79\) | −1.84941 | + | 9.59565i | −0.208075 | + | 1.07959i | 0.716208 | + | 0.697887i | \(0.245876\pi\) |
−0.924283 | + | 0.381708i | \(0.875336\pi\) | |||||||
\(80\) | 12.4012 | − | 6.39324i | 1.38649 | − | 0.714786i | ||||
\(81\) | 0.637754 | − | 8.97738i | 0.0708616 | − | 0.997486i | ||||
\(82\) | 4.21134 | + | 0.811670i | 0.465065 | + | 0.0896340i | ||||
\(83\) | −2.32494 | − | 0.682663i | −0.255195 | − | 0.0749320i | 0.151633 | − | 0.988437i | \(-0.451547\pi\) |
−0.406828 | + | 0.913505i | \(0.633365\pi\) | |||||||
\(84\) | 10.4997 | − | 15.5291i | 1.14561 | − | 1.69436i | ||||
\(85\) | −2.71594 | − | 3.13436i | −0.294585 | − | 0.339970i | ||||
\(86\) | −13.5891 | + | 19.0833i | −1.46535 | + | 2.05780i | ||||
\(87\) | 2.47695 | − | 2.56760i | 0.265556 | − | 0.275276i | ||||
\(88\) | −19.2528 | + | 13.7098i | −2.05235 | + | 1.46147i | ||||
\(89\) | −3.58824 | + | 1.43651i | −0.380352 | + | 0.152270i | −0.553957 | − | 0.832545i | \(-0.686883\pi\) |
0.173605 | + | 0.984815i | \(0.444459\pi\) | |||||||
\(90\) | 10.6331 | − | 20.0479i | 1.12083 | − | 2.11323i | ||||
\(91\) | 8.67920 | + | 7.79059i | 0.909828 | + | 0.816676i | ||||
\(92\) | −19.4769 | − | 2.34849i | −2.03060 | − | 0.244847i | ||||
\(93\) | −6.06596 | − | 0.0353666i | −0.629011 | − | 0.00366735i | ||||
\(94\) | 0.0278086 | + | 0.583775i | 0.00286824 | + | 0.0602118i | ||||
\(95\) | 8.50187 | − | 10.8110i | 0.872273 | − | 1.10919i | ||||
\(96\) | 1.43755 | + | 0.666665i | 0.146720 | + | 0.0680412i | ||||
\(97\) | 0.629066 | + | 2.14240i | 0.0638720 | + | 0.217528i | 0.985245 | − | 0.171153i | \(-0.0547491\pi\) |
−0.921373 | + | 0.388681i | \(0.872931\pi\) | |||||||
\(98\) | 8.44847 | − | 15.0686i | 0.853425 | − | 1.52216i | ||||
\(99\) | −4.64596 | + | 12.9337i | −0.466937 | + | 1.29988i | ||||
\(100\) | 14.1311 | − | 11.1128i | 1.41311 | − | 1.11128i | ||||
\(101\) | −0.302888 | − | 0.317660i | −0.0301385 | − | 0.0316083i | 0.708492 | − | 0.705719i | \(-0.249376\pi\) |
−0.738631 | + | 0.674110i | \(0.764527\pi\) | |||||||
\(102\) | 1.12770 | − | 5.67289i | 0.111659 | − | 0.561700i | ||||
\(103\) | 13.9222 | + | 0.663197i | 1.37180 | + | 0.0653468i | 0.720489 | − | 0.693466i | \(-0.243917\pi\) |
0.651309 | + | 0.758813i | \(0.274220\pi\) | |||||||
\(104\) | −12.2962 | + | 19.1333i | −1.20574 | + | 1.87617i | ||||
\(105\) | 5.52312 | − | 12.9145i | 0.539001 | − | 1.26033i | ||||
\(106\) | −6.27238 | + | 21.3618i | −0.609227 | + | 2.07484i | ||||
\(107\) | −0.215038 | + | 0.169108i | −0.0207885 | + | 0.0163483i | −0.628499 | − | 0.777810i | \(-0.716330\pi\) |
0.607711 | + | 0.794159i | \(0.292088\pi\) | |||||||
\(108\) | 20.9386 | − | 3.65698i | 2.01481 | − | 0.351893i | ||||
\(109\) | 1.61835 | − | 16.9482i | 0.155010 | − | 1.62334i | −0.498826 | − | 0.866702i | \(-0.666235\pi\) |
0.653836 | − | 0.756636i | \(-0.273159\pi\) | |||||||
\(110\) | −23.9126 | + | 25.0788i | −2.27998 | + | 2.39117i | ||||
\(111\) | −12.5070 | + | 8.79675i | −1.18711 | + | 0.834950i | ||||
\(112\) | 11.3103 | + | 4.13752i | 1.06872 | + | 0.390959i | ||||
\(113\) | 11.5054 | − | 7.39407i | 1.08234 | − | 0.695576i | 0.127241 | − | 0.991872i | \(-0.459388\pi\) |
0.955096 | + | 0.296296i | \(0.0957514\pi\) | |||||||
\(114\) | 19.1803 | + | 0.111828i | 1.79640 | + | 0.0104736i | ||||
\(115\) | −14.6632 | + | 1.03401i | −1.36735 | + | 0.0964216i | ||||
\(116\) | 7.29688 | + | 4.21285i | 0.677498 | + | 0.391154i | ||||
\(117\) | 0.475174 | + | 13.2159i | 0.0439299 | + | 1.22181i | ||||
\(118\) | 2.70233 | − | 18.7951i | 0.248769 | − | 1.73023i | ||||
\(119\) | 0.402600 | − | 3.55725i | 0.0369063 | − | 0.326092i | ||||
\(120\) | 26.5809 | + | 6.61279i | 2.42650 | + | 0.603663i | ||||
\(121\) | 5.79187 | − | 8.13354i | 0.526534 | − | 0.739413i | ||||
\(122\) | 19.9684 | − | 3.84860i | 1.80786 | − | 0.348436i | ||||
\(123\) | 1.84685 | + | 2.37685i | 0.166525 | + | 0.214313i | ||||
\(124\) | −3.37757 | − | 13.9225i | −0.303315 | − | 1.25028i | ||||
\(125\) | −1.21484 | + | 1.40200i | −0.108658 | + | 0.125398i | ||||
\(126\) | 18.9479 | − | 4.96841i | 1.68802 | − | 0.442621i | ||||
\(127\) | 1.43313 | + | 0.921017i | 0.127170 | + | 0.0817270i | 0.602679 | − | 0.797984i | \(-0.294100\pi\) |
−0.475509 | + | 0.879711i | \(0.657736\pi\) | |||||||
\(128\) | 3.54379 | − | 18.3869i | 0.313229 | − | 1.62519i | ||||
\(129\) | −16.0007 | + | 3.78309i | −1.40878 | + | 0.333082i | ||||
\(130\) | −12.3930 | + | 30.9563i | −1.08694 | + | 2.71505i | ||||
\(131\) | 15.8687 | + | 5.49220i | 1.38645 | + | 0.479856i | 0.915505 | − | 0.402306i | \(-0.131791\pi\) |
0.470946 | + | 0.882162i | \(0.343913\pi\) | |||||||
\(132\) | −32.2912 | − | 3.27353i | −2.81059 | − | 0.284924i | ||||
\(133\) | 11.8361 | − | 0.921538i | 1.02632 | − | 0.0799075i | ||||
\(134\) | 8.71503 | − | 19.0832i | 0.752864 | − | 1.64854i | ||||
\(135\) | 14.8871 | − | 5.65983i | 1.28127 | − | 0.487121i | ||||
\(136\) | 6.97338 | − | 0.332183i | 0.597962 | − | 0.0284845i | ||||
\(137\) | 5.31333 | − | 9.20296i | 0.453949 | − | 0.786262i | −0.544679 | − | 0.838645i | \(-0.683348\pi\) |
0.998627 | + | 0.0523830i | \(0.0166817\pi\) | |||||||
\(138\) | −13.6857 | − | 15.2629i | −1.16500 | − | 1.29926i | ||||
\(139\) | −3.62410 | −0.307392 | −0.153696 | − | 0.988118i | \(-0.549118\pi\) | ||||
−0.153696 | + | 0.988118i | \(0.549118\pi\) | |||||||
\(140\) | 32.7475 | + | 5.29477i | 2.76767 | + | 0.447490i | ||||
\(141\) | −0.255428 | + | 0.320934i | −0.0215109 | + | 0.0270275i | ||||
\(142\) | −37.5862 | + | 3.58905i | −3.15417 | + | 0.301186i | ||||
\(143\) | 4.76078 | − | 19.6242i | 0.398116 | − | 1.64106i | ||||
\(144\) | 5.52762 | + | 12.4871i | 0.460635 | + | 1.04059i | ||||
\(145\) | 5.96612 | + | 2.06489i | 0.495459 | + | 0.171480i | ||||
\(146\) | −18.5446 | + | 2.66631i | −1.53476 | + | 0.220665i | ||||
\(147\) | 11.4304 | − | 4.04300i | 0.942764 | − | 0.333461i | ||||
\(148\) | −27.2921 | − | 23.6487i | −2.24339 | − | 1.94391i | ||||
\(149\) | −0.351158 | + | 7.37172i | −0.0287680 | + | 0.603915i | 0.937749 | + | 0.347313i | \(0.112906\pi\) |
−0.966517 | + | 0.256602i | \(0.917397\pi\) | |||||||
\(150\) | 18.7589 | + | 1.00324i | 1.53166 | + | 0.0819146i | ||||
\(151\) | 5.04307 | + | 14.5710i | 0.410399 | + | 1.18577i | 0.941076 | + | 0.338196i | \(0.109817\pi\) |
−0.530677 | + | 0.847574i | \(0.678062\pi\) | |||||||
\(152\) | 5.45816 | + | 22.4988i | 0.442715 | + | 1.82490i | ||||
\(153\) | 3.21986 | − | 2.47191i | 0.260310 | − | 0.199842i | ||||
\(154\) | −29.9067 | − | 0.523364i | −2.40995 | − | 0.0421739i | ||||
\(155\) | −4.45935 | − | 9.76462i | −0.358184 | − | 0.784313i | ||||
\(156\) | −30.0181 | + | 8.62432i | −2.40337 | + | 0.690498i | ||||
\(157\) | −10.3396 | + | 7.36281i | −0.825191 | + | 0.587616i | −0.912738 | − | 0.408544i | \(-0.866037\pi\) |
0.0875472 | + | 0.996160i | \(0.472097\pi\) | |||||||
\(158\) | −18.9573 | − | 14.9082i | −1.50816 | − | 1.18603i | ||||
\(159\) | −13.1938 | + | 8.37083i | −1.04633 | + | 0.663850i | ||||
\(160\) | 2.80418i | 0.221690i | ||||||||
\(161\) | −9.22945 | − | 8.70731i | −0.727383 | − | 0.686232i | ||||
\(162\) | 18.9713 | + | 11.5512i | 1.49053 | + | 0.907545i | ||||
\(163\) | 14.0119 | + | 7.22363i | 1.09750 | + | 0.565798i | 0.909219 | − | 0.416318i | \(-0.136680\pi\) |
0.188276 | + | 0.982116i | \(0.439710\pi\) | |||||||
\(164\) | −4.39440 | + | 5.58794i | −0.343145 | + | 0.436344i | ||||
\(165\) | −24.2226 | + | 2.17055i | −1.88573 | + | 0.168977i | ||||
\(166\) | 4.12667 | − | 4.32792i | 0.320291 | − | 0.335912i | ||||
\(167\) | 4.53101 | − | 2.06924i | 0.350620 | − | 0.160123i | −0.232317 | − | 0.972640i | \(-0.574631\pi\) |
0.582937 | + | 0.812517i | \(0.301903\pi\) | |||||||
\(168\) | 11.3410 | + | 20.7463i | 0.874979 | + | 1.60061i | ||||
\(169\) | −0.915325 | − | 6.36623i | −0.0704096 | − | 0.489710i | ||||
\(170\) | 9.94683 | − | 2.41307i | 0.762887 | − | 0.185074i | ||||
\(171\) | 10.0700 | + | 8.93341i | 0.770074 | + | 0.683155i | ||||
\(172\) | −17.7934 | − | 34.5145i | −1.35674 | − | 2.63170i | ||||
\(173\) | 0.928745 | + | 0.0442416i | 0.0706112 | + | 0.00336362i | 0.0828578 | − | 0.996561i | \(-0.473595\pi\) |
−0.0122466 | + | 0.999925i | \(0.503898\pi\) | |||||||
\(174\) | 2.83114 | + | 8.33698i | 0.214628 | + | 0.632025i | ||||
\(175\) | 11.6222 | − | 0.349954i | 0.878554 | − | 0.0264540i | ||||
\(176\) | −2.96758 | − | 20.6400i | −0.223690 | − | 1.55580i | ||||
\(177\) | 10.1222 | − | 8.66816i | 0.760833 | − | 0.651538i | ||||
\(178\) | 0.906716 | − | 9.49556i | 0.0679613 | − | 0.711723i | ||||
\(179\) | −7.77140 | − | 1.88532i | −0.580862 | − | 0.140916i | −0.0654466 | − | 0.997856i | \(-0.520847\pi\) |
−0.515415 | + | 0.856940i | \(0.672362\pi\) | |||||||
\(180\) | 21.4597 | + | 30.8921i | 1.59951 | + | 2.30256i | ||||
\(181\) | 10.3409 | + | 1.48679i | 0.768631 | + | 0.110512i | 0.515465 | − | 0.856910i | \(-0.327619\pi\) |
0.253166 | + | 0.967423i | \(0.418528\pi\) | |||||||
\(182\) | −26.9042 | + | 10.2284i | −1.99428 | + | 0.758176i | ||||
\(183\) | 12.3184 | + | 7.20809i | 0.910599 | + | 0.532837i | ||||
\(184\) | 13.8897 | − | 20.4779i | 1.02396 | − | 1.50965i | ||||
\(185\) | −23.4338 | − | 13.5295i | −1.72289 | − | 0.994708i | ||||
\(186\) | 6.93737 | − | 13.2661i | 0.508673 | − | 0.972721i | ||||
\(187\) | −5.75444 | + | 2.30373i | −0.420807 | + | 0.168466i | ||||
\(188\) | −0.881175 | − | 0.402419i | −0.0642663 | − | 0.0293494i | ||||
\(189\) | 12.2979 | + | 6.14498i | 0.894543 | + | 0.446981i | ||||
\(190\) | 14.1003 | + | 30.8753i | 1.02294 | + | 2.23993i | ||||
\(191\) | −0.397257 | + | 1.14780i | −0.0287445 | + | 0.0830518i | −0.958460 | − | 0.285226i | \(-0.907931\pi\) |
0.929716 | + | 0.368278i | \(0.120053\pi\) | |||||||
\(192\) | 9.36339 | − | 7.27550i | 0.675744 | − | 0.525064i | ||||
\(193\) | −10.4251 | + | 9.94031i | −0.750415 | + | 0.715519i | −0.965307 | − | 0.261119i | \(-0.915909\pi\) |
0.214892 | + | 0.976638i | \(0.431060\pi\) | |||||||
\(194\) | −5.41091 | − | 1.04287i | −0.388480 | − | 0.0748735i | ||||
\(195\) | −20.8630 | + | 10.6021i | −1.49403 | + | 0.759233i | ||||
\(196\) | 15.7833 | + | 23.8917i | 1.12738 | + | 1.70655i | ||||
\(197\) | 1.53656 | + | 1.33143i | 0.109475 | + | 0.0948608i | 0.707878 | − | 0.706334i | \(-0.249652\pi\) |
−0.598403 | + | 0.801195i | \(0.704198\pi\) | |||||||
\(198\) | −23.1170 | − | 24.8175i | −1.64286 | − | 1.76370i | ||||
\(199\) | −1.45013 | + | 3.62224i | −0.102797 | + | 0.256774i | −0.970846 | − | 0.239704i | \(-0.922949\pi\) |
0.868049 | + | 0.496478i | \(0.165374\pi\) | |||||||
\(200\) | 4.29122 | + | 22.2650i | 0.303435 | + | 1.57437i | ||||
\(201\) | 13.4286 | − | 6.03825i | 0.947177 | − | 0.425905i | ||||
\(202\) | 1.03934 | − | 0.305177i | 0.0731274 | − | 0.0214722i | ||||
\(203\) | 2.17677 | + | 4.99600i | 0.152779 | + | 0.350650i | ||||
\(204\) | 7.50114 | + | 5.97007i | 0.525185 | + | 0.417989i | ||||
\(205\) | −2.44080 | + | 4.73450i | −0.170473 | + | 0.330672i | ||||
\(206\) | −17.1989 | + | 29.7894i | −1.19831 | + | 2.07553i | ||||
\(207\) | −0.160273 | − | 14.3866i | −0.0111397 | − | 0.999938i | ||||
\(208\) | −10.0328 | − | 17.3774i | −0.695651 | − | 1.20490i | ||||
\(209\) | −11.1131 | − | 17.2923i | −0.768708 | − | 1.19613i | ||||
\(210\) | 22.0831 | + | 26.7200i | 1.52388 | + | 1.84385i | ||||
\(211\) | 1.73879 | − | 3.80741i | 0.119703 | − | 0.262113i | −0.840290 | − | 0.542137i | \(-0.817615\pi\) |
0.959993 | + | 0.280024i | \(0.0903425\pi\) | |||||||
\(212\) | −26.7075 | − | 25.4655i | −1.83428 | − | 1.74898i | ||||
\(213\) | −21.4955 | − | 15.4965i | −1.47285 | − | 1.06180i | ||||
\(214\) | −0.127771 | − | 0.662940i | −0.00873426 | − | 0.0453177i | ||||
\(215\) | −17.9859 | − | 22.8710i | −1.22663 | − | 1.55979i | ||||
\(216\) | −8.00186 | + | 25.5875i | −0.544457 | + | 1.74101i | ||||
\(217\) | 3.59384 | − | 8.54075i | 0.243966 | − | 0.579784i | ||||
\(218\) | 35.3469 | + | 22.7161i | 2.39399 | + | 1.53853i | ||||
\(219\) | −11.0199 | − | 7.17321i | −0.744659 | − | 0.484721i | ||||
\(220\) | −18.7856 | − | 54.2774i | −1.26652 | − | 3.65938i | ||||
\(221\) | −4.31681 | + | 4.11607i | −0.290380 | + | 0.276877i | ||||
\(222\) | −5.15258 | − | 37.3830i | −0.345819 | − | 2.50898i | ||||
\(223\) | −11.6309 | − | 13.4227i | −0.778860 | − | 0.898852i | 0.218166 | − | 0.975912i | \(-0.429992\pi\) |
−0.997027 | + | 0.0770591i | \(0.975447\pi\) | |||||||
\(224\) | −1.78078 | + | 1.63945i | −0.118984 | + | 0.109541i | ||||
\(225\) | 9.43518 | + | 9.20884i | 0.629012 | + | 0.613923i | ||||
\(226\) | 3.20838 | + | 33.5997i | 0.213418 | + | 2.23502i | ||||
\(227\) | −0.205994 | − | 0.161996i | −0.0136723 | − | 0.0107520i | 0.611299 | − | 0.791399i | \(-0.290647\pi\) |
−0.624972 | + | 0.780647i | \(0.714890\pi\) | |||||||
\(228\) | −14.7326 | + | 28.1727i | −0.975688 | + | 1.86578i | ||||
\(229\) | −6.59292 | + | 3.80642i | −0.435672 | + | 0.251536i | −0.701760 | − | 0.712413i | \(-0.747602\pi\) |
0.266088 | + | 0.963949i | \(0.414269\pi\) | |||||||
\(230\) | 14.3140 | − | 33.3342i | 0.943836 | − | 2.19799i | ||||
\(231\) | −15.5401 | − | 14.1135i | −1.02246 | − | 0.928600i | ||||
\(232\) | −8.94027 | + | 5.74556i | −0.586957 | + | 0.377215i | ||||
\(233\) | −3.42055 | − | 8.54412i | −0.224088 | − | 0.559744i | 0.773133 | − | 0.634244i | \(-0.218688\pi\) |
−0.997221 | + | 0.0744994i | \(0.976264\pi\) | |||||||
\(234\) | −29.5274 | − | 13.9031i | −1.93026 | − | 0.908871i | ||||
\(235\) | −0.705394 | − | 0.171127i | −0.0460148 | − | 0.0111631i | ||||
\(236\) | 25.6376 | + | 18.2565i | 1.66887 | + | 1.18839i | ||||
\(237\) | −3.10632 | − | 16.6385i | −0.201777 | − | 1.08079i | ||||
\(238\) | 7.34779 | + | 4.90590i | 0.476287 | + | 0.318002i | ||||
\(239\) | −7.56666 | + | 25.7697i | −0.489447 | + | 1.66690i | 0.230656 | + | 0.973035i | \(0.425913\pi\) |
−0.720103 | + | 0.693867i | \(0.755905\pi\) | |||||||
\(240\) | −15.9315 | + | 18.1707i | −1.02837 | + | 1.17292i | ||||
\(241\) | 7.34371 | + | 14.2448i | 0.473050 | + | 0.917588i | 0.997798 | + | 0.0663308i | \(0.0211293\pi\) |
−0.524748 | + | 0.851258i | \(0.675840\pi\) | |||||||
\(242\) | 11.2917 | + | 21.9028i | 0.725858 | + | 1.40797i | ||||
\(243\) | 4.66695 | + | 14.8735i | 0.299385 | + | 0.954132i | ||||
\(244\) | −9.49642 | + | 32.3418i | −0.607946 | + | 2.07047i | ||||
\(245\) | 15.0006 | + | 15.3403i | 0.958353 | + | 0.980057i | ||||
\(246\) | −7.30234 | + | 1.36330i | −0.465580 | + | 0.0869210i | ||||
\(247\) | −16.1123 | − | 11.4735i | −1.02520 | − | 0.730043i | ||||
\(248\) | 17.5604 | + | 4.26012i | 1.11509 | + | 0.270518i | ||||
\(249\) | 4.18017 | − | 0.374577i | 0.264907 | − | 0.0237379i | ||||
\(250\) | −1.70157 | − | 4.25031i | −0.107616 | − | 0.268813i | ||||
\(251\) | 17.7142 | − | 11.3842i | 1.11811 | − | 0.718564i | 0.155063 | − | 0.987905i | \(-0.450442\pi\) |
0.963045 | + | 0.269340i | \(0.0868056\pi\) | |||||||
\(252\) | −7.07155 | + | 31.6889i | −0.445466 | + | 1.99621i | ||||
\(253\) | −5.70731 | + | 21.2151i | −0.358815 | + | 1.33378i | ||||
\(254\) | −3.64100 | + | 2.10213i | −0.228456 | + | 0.131899i | ||||
\(255\) | 6.36559 | + | 3.32881i | 0.398629 | + | 0.208458i | ||||
\(256\) | 25.5627 | + | 20.1028i | 1.59767 | + | 1.25642i | ||||
\(257\) | −0.0896259 | − | 0.938605i | −0.00559071 | − | 0.0585486i | 0.992246 | − | 0.124289i | \(-0.0396651\pi\) |
−0.997837 | + | 0.0657406i | \(0.979059\pi\) | |||||||
\(258\) | 9.79617 | − | 39.3769i | 0.609883 | − | 2.45150i | ||||
\(259\) | −5.10862 | − | 22.7915i | −0.317434 | − | 1.41620i | ||||
\(260\) | −36.1940 | − | 41.7701i | −2.24466 | − | 2.59047i | ||||
\(261\) | −2.36334 | + | 5.70948i | −0.146287 | + | 0.353408i | ||||
\(262\) | −29.9929 | + | 28.5981i | −1.85297 | + | 1.76680i | ||||
\(263\) | 0.972327 | + | 2.80936i | 0.0599563 | + | 0.173232i | 0.971001 | − | 0.239075i | \(-0.0768442\pi\) |
−0.911045 | + | 0.412307i | \(0.864723\pi\) | |||||||
\(264\) | 22.3329 | − | 34.3092i | 1.37450 | − | 2.11159i | ||||
\(265\) | −23.2613 | − | 14.9491i | −1.42893 | − | 0.918318i | ||||
\(266\) | −11.3636 | + | 27.0054i | −0.696744 | + | 1.65581i | ||||
\(267\) | 4.87193 | − | 4.59144i | 0.298157 | − | 0.280992i | ||||
\(268\) | 21.4954 | + | 27.3336i | 1.31304 | + | 1.66967i | ||||
\(269\) | −4.41164 | − | 22.8898i | −0.268983 | − | 1.39561i | −0.825324 | − | 0.564660i | \(-0.809007\pi\) |
0.556341 | − | 0.830954i | \(-0.312205\pi\) | |||||||
\(270\) | −4.42002 | + | 39.0564i | −0.268994 | + | 2.37690i | ||||
\(271\) | −18.8065 | − | 17.9320i | −1.14241 | − | 1.08929i | −0.994965 | − | 0.100220i | \(-0.968045\pi\) |
−0.147449 | − | 0.989070i | \(-0.547106\pi\) | |||||||
\(272\) | −2.55864 | + | 5.60264i | −0.155140 | + | 0.339710i | ||||
\(273\) | −18.9303 | − | 7.05047i | −1.14571 | − | 0.426714i | ||||
\(274\) | 14.1787 | + | 22.0625i | 0.856567 | + | 1.33284i | ||||
\(275\) | −10.0661 | − | 17.4349i | −0.607007 | − | 1.05137i | ||||
\(276\) | 32.8808 | − | 8.57012i | 1.97919 | − | 0.515861i | ||||
\(277\) | −1.80880 | + | 3.13293i | −0.108680 | + | 0.188240i | −0.915236 | − | 0.402919i | \(-0.867996\pi\) |
0.806556 | + | 0.591158i | \(0.201329\pi\) | |||||||
\(278\) | 4.09837 | − | 7.94973i | 0.245804 | − | 0.476793i | ||||
\(279\) | 9.79899 | − | 3.79096i | 0.586650 | − | 0.226959i | ||||
\(280\) | −24.8626 | + | 33.6525i | −1.48582 | + | 2.01112i | ||||
\(281\) | 12.2560 | − | 3.59869i | 0.731133 | − | 0.214680i | 0.105084 | − | 0.994463i | \(-0.466489\pi\) |
0.626050 | + | 0.779783i | \(0.284671\pi\) | |||||||
\(282\) | −0.415138 | − | 0.923233i | −0.0247211 | − | 0.0549777i | ||||
\(283\) | 4.42192 | + | 22.9431i | 0.262856 | + | 1.36383i | 0.837953 | + | 0.545742i | \(0.183752\pi\) |
−0.575097 | + | 0.818085i | \(0.695036\pi\) | |||||||
\(284\) | 23.2599 | − | 58.1003i | 1.38022 | − | 3.44762i | ||||
\(285\) | −6.84453 | + | 22.8173i | −0.405435 | + | 1.35158i | ||||
\(286\) | 37.6633 | + | 32.6355i | 2.22708 | + | 1.92977i | ||||
\(287\) | −4.43364 | + | 1.21799i | −0.261709 | + | 0.0718955i | ||||
\(288\) | −2.73981 | − | 0.162553i | −0.161445 | − | 0.00957853i | ||||
\(289\) | −14.8950 | − | 2.87078i | −0.876177 | − | 0.168869i | ||||
\(290\) | −11.2764 | + | 10.7520i | −0.662172 | + | 0.631379i | ||||
\(291\) | −2.37291 | − | 3.05387i | −0.139102 | − | 0.179021i | ||||
\(292\) | 10.1568 | − | 29.3462i | 0.594382 | − | 1.71735i | ||||
\(293\) | 13.6414 | + | 29.8704i | 0.796937 | + | 1.74505i | 0.655629 | + | 0.755083i | \(0.272403\pi\) |
0.141308 | + | 0.989966i | \(0.454869\pi\) | |||||||
\(294\) | −4.05763 | + | 29.6455i | −0.236646 | + | 1.72896i | ||||
\(295\) | 21.4519 | + | 9.79674i | 1.24898 | + | 0.570388i | ||||
\(296\) | 42.2859 | − | 16.9287i | 2.45782 | − | 0.983962i | ||||
\(297\) | −0.716585 | − | 23.7925i | −0.0415805 | − | 1.38058i | ||||
\(298\) | −15.7733 | − | 9.10672i | −0.913723 | − | 0.527538i | ||||
\(299\) | 2.48882 | + | 20.9937i | 0.143932 | + | 1.21410i | ||||
\(300\) | −15.7258 | + | 26.8747i | −0.907928 | + | 1.55161i | ||||
\(301\) | 4.00871 | − | 24.7934i | 0.231058 | − | 1.42907i | ||||
\(302\) | −37.6656 | − | 5.41549i | −2.16741 | − | 0.311626i | ||||
\(303\) | 0.689675 | + | 0.319837i | 0.0396208 | + | 0.0183741i | ||||
\(304\) | −19.8496 | − | 4.81546i | −1.13845 | − | 0.276185i | ||||
\(305\) | −2.40080 | + | 25.1423i | −0.137469 | + | 1.43964i | ||||
\(306\) | 1.78109 | + | 9.85839i | 0.101818 | + | 0.563567i | ||||
\(307\) | 4.18321 | + | 29.0949i | 0.238748 | + | 1.66053i | 0.658267 | + | 0.752785i | \(0.271290\pi\) |
−0.419519 | + | 0.907747i | \(0.637801\pi\) | |||||||
\(308\) | 23.4857 | − | 43.6628i | 1.33822 | − | 2.48792i | ||||
\(309\) | −22.8592 | + | 7.76272i | −1.30042 | + | 0.441606i | ||||
\(310\) | 26.4623 | + | 1.26056i | 1.50296 | + | 0.0715948i | ||||
\(311\) | 2.04778 | + | 3.97213i | 0.116119 | + | 0.225239i | 0.939731 | − | 0.341914i | \(-0.111075\pi\) |
−0.823613 | + | 0.567153i | \(0.808045\pi\) | |||||||
\(312\) | 7.68063 | − | 38.6373i | 0.434830 | − | 2.18741i | ||||
\(313\) | −20.4866 | + | 4.97000i | −1.15797 | + | 0.280921i | −0.768336 | − | 0.640047i | \(-0.778915\pi\) |
−0.389637 | + | 0.920968i | \(0.627400\pi\) | |||||||
\(314\) | −4.45814 | − | 31.0071i | −0.251588 | − | 1.74983i | ||||
\(315\) | −0.709283 | + | 24.3180i | −0.0399636 | + | 1.37017i | ||||
\(316\) | 36.3622 | − | 16.6060i | 2.04553 | − | 0.934163i | ||||
\(317\) | 13.8030 | − | 14.4762i | 0.775255 | − | 0.813064i | −0.211140 | − | 0.977456i | \(-0.567718\pi\) |
0.986395 | + | 0.164392i | \(0.0525662\pi\) | |||||||
\(318\) | −3.44165 | − | 38.4078i | −0.192998 | − | 2.15380i | ||||
\(319\) | 5.83273 | − | 7.41691i | 0.326570 | − | 0.415267i | ||||
\(320\) | 18.6511 | + | 9.61533i | 1.04263 | + | 0.537513i | ||||
\(321\) | 0.239304 | − | 0.408962i | 0.0133567 | − | 0.0228260i | ||||
\(322\) | 29.5374 | − | 10.3987i | 1.64605 | − | 0.579497i | ||||
\(323\) | 6.07155i | 0.337830i | ||||||||
\(324\) | −31.4270 | + | 19.1764i | −1.74594 | + | 1.06536i | ||||
\(325\) | −15.2280 | − | 11.9754i | −0.844697 | − | 0.664277i | ||||
\(326\) | −31.6911 | + | 22.5671i | −1.75521 | + | 1.24988i | ||||
\(327\) | 8.14279 | + | 28.3421i | 0.450297 | + | 1.56732i | ||||
\(328\) | −3.72477 | − | 8.15610i | −0.205666 | − | 0.450345i | ||||
\(329\) | −0.303733 | − | 0.548007i | −0.0167453 | − | 0.0302126i | ||||
\(330\) | 22.6313 | − | 55.5887i | 1.24581 | − | 3.06006i | ||||
\(331\) | 0.605201 | + | 2.49467i | 0.0332649 | + | 0.137120i | 0.986023 | − | 0.166612i | \(-0.0532826\pi\) |
−0.952758 | + | 0.303731i | \(0.901767\pi\) | |||||||
\(332\) | 3.24188 | + | 9.36680i | 0.177921 | + | 0.514070i | ||||
\(333\) | 14.5774 | − | 22.1116i | 0.798835 | − | 1.21171i | ||||
\(334\) | −0.584928 | + | 12.2791i | −0.0320058 | + | 0.671885i | ||||
\(335\) | 19.6914 | + | 17.0627i | 1.07586 | + | 0.932234i | ||||
\(336\) | −20.8535 | + | 0.506246i | −1.13765 | + | 0.0276180i | ||||
\(337\) | −16.8159 | + | 2.41776i | −0.916020 | + | 0.131704i | −0.584173 | − | 0.811629i | \(-0.698581\pi\) |
−0.331847 | + | 0.943333i | \(0.607672\pi\) | |||||||
\(338\) | 14.9999 | + | 5.19151i | 0.815887 | + | 0.282381i | ||||
\(339\) | −13.8529 | + | 19.2156i | −0.752385 | + | 1.04365i | ||||
\(340\) | −3.99972 | + | 16.4871i | −0.216915 | + | 0.894136i | ||||
\(341\) | −15.9709 | + | 1.52504i | −0.864874 | + | 0.0825855i | ||||
\(342\) | −30.9839 | + | 11.9868i | −1.67542 | + | 0.648174i | ||||
\(343\) | −0.971763 | + | 18.4947i | −0.0524703 | + | 0.998622i | ||||
\(344\) | 48.9775 | 2.64069 | ||||||||
\(345\) | 22.9769 | − | 10.9682i | 1.23703 | − | 0.590506i | ||||
\(346\) | −1.14733 | + | 1.98724i | −0.0616810 | + | 0.106835i | ||||
\(347\) | 5.65468 | − | 0.269366i | 0.303559 | − | 0.0144603i | 0.104750 | − | 0.994499i | \(-0.466596\pi\) |
0.198809 | + | 0.980038i | \(0.436293\pi\) | |||||||
\(348\) | −14.4329 | − | 2.16109i | −0.773682 | − | 0.115847i | ||||
\(349\) | 12.5568 | − | 27.4956i | 0.672152 | − | 1.47181i | −0.198597 | − | 0.980081i | \(-0.563638\pi\) |
0.870749 | − | 0.491727i | \(-0.163634\pi\) | |||||||
\(350\) | −12.3755 | + | 25.8899i | −0.661497 | + | 1.38387i | ||||
\(351\) | −9.14937 | − | 20.9987i | −0.488357 | − | 1.12083i | ||||
\(352\) | 3.96050 | + | 1.37074i | 0.211095 | + | 0.0730608i | ||||
\(353\) | 4.96847 | − | 12.4106i | 0.264445 | − | 0.660552i | −0.735409 | − | 0.677623i | \(-0.763010\pi\) |
0.999854 | + | 0.0170716i | \(0.00543432\pi\) | |||||||
\(354\) | 7.56735 | + | 32.0064i | 0.402200 | + | 1.70112i | ||||
\(355\) | 8.87464 | − | 46.0460i | 0.471017 | − | 2.44387i | ||||
\(356\) | 13.3008 | + | 8.54790i | 0.704940 | + | 0.453038i | ||||
\(357\) | 1.60767 | + | 5.98863i | 0.0850872 | + | 0.316952i | ||||
\(358\) | 12.9240 | − | 14.9151i | 0.683055 | − | 0.788288i | ||||
\(359\) | 8.56010 | + | 35.2852i | 0.451785 | + | 1.86228i | 0.504091 | + | 0.863650i | \(0.331827\pi\) |
−0.0523068 | + | 0.998631i | \(0.516657\pi\) | |||||||
\(360\) | −47.0355 | + | 6.20380i | −2.47899 | + | 0.326969i | ||||
\(361\) | −1.11407 | + | 0.214719i | −0.0586352 | + | 0.0113010i | ||||
\(362\) | −14.9555 | + | 21.0021i | −0.786045 | + | 1.10385i | ||||
\(363\) | −4.17526 | + | 16.7830i | −0.219144 | + | 0.880877i | ||||
\(364\) | 5.36525 | − | 47.4056i | 0.281216 | − | 2.48473i | ||||
\(365\) | 3.31148 | − | 23.0319i | 0.173331 | − | 1.20554i | ||||
\(366\) | −29.7419 | + | 18.8698i | −1.55463 | + | 0.986342i | ||||
\(367\) | 27.6033 | + | 15.9368i | 1.44088 | + | 0.831893i | 0.997908 | − | 0.0646430i | \(-0.0205909\pi\) |
0.442972 | + | 0.896536i | \(0.353924\pi\) | |||||||
\(368\) | 10.4430 | + | 19.1705i | 0.544382 | + | 0.999334i | ||||
\(369\) | −4.48434 | − | 2.65923i | −0.233445 | − | 0.138434i | ||||
\(370\) | 56.1784 | − | 36.1037i | 2.92058 | − | 1.87694i | ||||
\(371\) | −4.10626 | − | 23.5120i | −0.213186 | − | 1.22068i | ||||
\(372\) | 14.2754 | + | 20.2965i | 0.740147 | + | 1.05232i | ||||
\(373\) | 2.20592 | − | 2.31350i | 0.114218 | − | 0.119788i | −0.664142 | − | 0.747606i | \(-0.731203\pi\) |
0.778360 | + | 0.627818i | \(0.216052\pi\) | |||||||
\(374\) | 1.45410 | − | 15.2280i | 0.0751896 | − | 0.787422i | ||||
\(375\) | 1.06860 | − | 3.03024i | 0.0551823 | − | 0.156481i | ||||
\(376\) | 0.960429 | − | 0.755290i | 0.0495304 | − | 0.0389511i | ||||
\(377\) | 2.55805 | − | 8.71192i | 0.131746 | − | 0.448687i | ||||
\(378\) | −27.3868 | + | 20.0273i | −1.40862 | + | 1.03009i | ||||
\(379\) | 7.44382 | − | 11.5828i | 0.382363 | − | 0.594969i | −0.595718 | − | 0.803194i | \(-0.703132\pi\) |
0.978081 | + | 0.208225i | \(0.0667686\pi\) | |||||||
\(380\) | −56.1968 | − | 2.67698i | −2.88283 | − | 0.137326i | ||||
\(381\) | −2.89403 | − | 0.575299i | −0.148266 | − | 0.0294735i | ||||
\(382\) | −2.06854 | − | 2.16942i | −0.105835 | − | 0.110997i | ||||
\(383\) | 3.40919 | − | 2.68102i | 0.174202 | − | 0.136994i | −0.527251 | − | 0.849709i | \(-0.676777\pi\) |
0.701453 | + | 0.712716i | \(0.252535\pi\) | |||||||
\(384\) | 5.95224 | + | 31.8823i | 0.303749 | + | 1.62699i | ||||
\(385\) | 11.0881 | − | 35.4556i | 0.565104 | − | 1.80698i | ||||
\(386\) | −10.0154 | − | 34.1094i | −0.509771 | − | 1.73612i | ||||
\(387\) | 23.3886 | − | 16.2473i | 1.18891 | − | 0.825897i | ||||
\(388\) | 5.64610 | − | 7.17961i | 0.286638 | − | 0.364489i | ||||
\(389\) | 1.11646 | + | 23.4374i | 0.0566068 | + | 1.18832i | 0.831241 | + | 0.555912i | \(0.187631\pi\) |
−0.774634 | + | 0.632410i | \(0.782066\pi\) | |||||||
\(390\) | 0.336726 | − | 57.7540i | 0.0170508 | − | 2.92449i | ||||
\(391\) | 4.80607 | − | 4.36024i | 0.243053 | − | 0.220507i | ||||
\(392\) | −35.9068 | + | 3.88594i | −1.81357 | + | 0.196270i | ||||
\(393\) | −29.0596 | + | 1.21452i | −1.46586 | + | 0.0612642i | ||||
\(394\) | −4.65824 | + | 1.86488i | −0.234679 | + | 0.0939512i | ||||
\(395\) | 24.3988 | − | 17.3743i | 1.22764 | − | 0.874197i | ||||
\(396\) | 54.1205 | − | 15.2080i | 2.71966 | − | 0.764233i | ||||
\(397\) | 1.51774 | − | 2.13137i | 0.0761732 | − | 0.106970i | −0.774732 | − | 0.632290i | \(-0.782115\pi\) |
0.850905 | + | 0.525320i | \(0.176054\pi\) | |||||||
\(398\) | −6.30575 | − | 7.27722i | −0.316079 | − | 0.364774i | ||||
\(399\) | −18.4917 | + | 8.99349i | −0.925743 | + | 0.450238i | ||||
\(400\) | −19.1944 | − | 5.63599i | −0.959721 | − | 0.281800i | ||||
\(401\) | −2.20813 | − | 0.425581i | −0.110269 | − | 0.0212525i | 0.133818 | − | 0.991006i | \(-0.457276\pi\) |
−0.244087 | + | 0.969753i | \(0.578488\pi\) | |||||||
\(402\) | −1.94056 | + | 36.2850i | −0.0967863 | + | 1.80973i | ||||
\(403\) | −13.7222 | + | 7.07428i | −0.683551 | + | 0.352395i | ||||
\(404\) | −0.339791 | + | 1.76300i | −0.0169052 | + | 0.0877126i | ||||
\(405\) | −20.4033 | + | 18.5656i | −1.01385 | + | 0.922534i | ||||
\(406\) | −13.4207 | − | 0.874899i | −0.666059 | − | 0.0434205i | ||||
\(407\) | −30.5634 | + | 26.4833i | −1.51497 | + | 1.31273i | ||||
\(408\) | −11.0283 | + | 4.95896i | −0.545983 | + | 0.245505i | ||||
\(409\) | 2.69140 | − | 11.0941i | 0.133081 | − | 0.548568i | −0.865761 | − | 0.500458i | \(-0.833165\pi\) |
0.998842 | − | 0.0481102i | \(-0.0153199\pi\) | |||||||
\(410\) | −7.62525 | − | 10.7082i | −0.376584 | − | 0.528839i | ||||
\(411\) | −2.72561 | + | 18.2030i | −0.134444 | + | 0.897887i | ||||
\(412\) | −30.8247 | − | 47.9642i | −1.51863 | − | 2.36303i | ||||
\(413\) | 6.32038 | + | 19.3506i | 0.311006 | + | 0.952179i | ||||
\(414\) | 31.7393 | + | 15.9177i | 1.55990 | + | 0.782315i | ||||
\(415\) | 3.71349 | + | 6.43196i | 0.182288 | + | 0.315732i | ||||
\(416\) | 4.02834 | − | 0.191893i | 0.197506 | − | 0.00940835i | ||||
\(417\) | 5.84098 | − | 2.29895i | 0.286034 | − | 0.112580i | ||||
\(418\) | 50.4993 | − | 4.82210i | 2.47000 | − | 0.235857i | ||||
\(419\) | 11.1155 | − | 3.26381i | 0.543028 | − | 0.159448i | 0.00129696 | − | 0.999999i | \(-0.499587\pi\) |
0.541731 | + | 0.840552i | \(0.317769\pi\) | |||||||
\(420\) | −56.1380 | + | 12.2398i | −2.73926 | + | 0.597242i | ||||
\(421\) | 6.59373 | − | 5.71350i | 0.321359 | − | 0.278459i | −0.479210 | − | 0.877701i | \(-0.659077\pi\) |
0.800568 | + | 0.599242i | \(0.204531\pi\) | |||||||
\(422\) | 6.38550 | + | 8.11983i | 0.310842 | + | 0.395267i | ||||
\(423\) | 0.208089 | − | 0.679283i | 0.0101176 | − | 0.0330279i | ||||
\(424\) | 43.9849 | − | 15.2233i | 2.13609 | − | 0.739309i | ||||
\(425\) | −0.282948 | + | 5.93980i | −0.0137250 | + | 0.288123i | ||||
\(426\) | 58.3013 | − | 29.6274i | 2.82470 | − | 1.43545i | ||||
\(427\) | −17.3702 | + | 13.1747i | −0.840601 | + | 0.637571i | ||||
\(428\) | 1.07373 | + | 0.315275i | 0.0519007 | + | 0.0152394i | ||||
\(429\) | 4.77568 | + | 34.6485i | 0.230572 | + | 1.67284i | ||||
\(430\) | 70.5089 | − | 13.5895i | 3.40024 | − | 0.655343i | ||||
\(431\) | 27.2797 | + | 2.60489i | 1.31401 | + | 0.125473i | 0.728420 | − | 0.685131i | \(-0.240255\pi\) |
0.585595 | + | 0.810604i | \(0.300861\pi\) | |||||||
\(432\) | −16.8301 | − | 16.6191i | −0.809740 | − | 0.799587i | ||||
\(433\) | −4.24721 | − | 1.93964i | −0.204108 | − | 0.0932129i | 0.310738 | − | 0.950495i | \(-0.399424\pi\) |
−0.514846 | + | 0.857283i | \(0.672151\pi\) | |||||||
\(434\) | 14.6706 | + | 17.5418i | 0.704212 | + | 0.842033i | ||||
\(435\) | −10.9255 | + | 0.456620i | −0.523838 | + | 0.0218932i | ||||
\(436\) | −60.3134 | + | 34.8219i | −2.88849 | + | 1.66767i | ||||
\(437\) | 17.2145 | + | 12.9135i | 0.823480 | + | 0.617734i | ||||
\(438\) | 28.1971 | − | 16.0611i | 1.34731 | − | 0.767430i | ||||
\(439\) | 10.9546 | + | 5.64746i | 0.522832 | + | 0.269539i | 0.699376 | − | 0.714754i | \(-0.253461\pi\) |
−0.176544 | + | 0.984293i | \(0.556492\pi\) | |||||||
\(440\) | 71.7069 | + | 10.3099i | 3.41849 | + | 0.491505i | ||||
\(441\) | −15.8578 | + | 13.7670i | −0.755132 | + | 0.655573i | ||||
\(442\) | −4.14717 | − | 14.1240i | −0.197261 | − | 0.671809i | ||||
\(443\) | −31.4353 | − | 22.3850i | −1.49353 | − | 1.06354i | −0.978470 | − | 0.206390i | \(-0.933828\pi\) |
−0.515065 | − | 0.857151i | \(-0.672232\pi\) | |||||||
\(444\) | 58.9884 | + | 20.8020i | 2.79946 | + | 0.987218i | ||||
\(445\) | 10.9983 | + | 4.40304i | 0.521367 | + | 0.208724i | ||||
\(446\) | 42.5967 | − | 10.3338i | 2.01701 | − | 0.489322i | ||||
\(447\) | −4.11031 | − | 12.1038i | −0.194411 | − | 0.572490i | ||||
\(448\) | 4.79815 | + | 17.4659i | 0.226691 | + | 0.825187i | ||||
\(449\) | −9.83582 | + | 15.3048i | −0.464181 | + | 0.722280i | −0.991884 | − | 0.127149i | \(-0.959417\pi\) |
0.527702 | + | 0.849429i | \(0.323054\pi\) | |||||||
\(450\) | −30.8702 | + | 10.2828i | −1.45524 | + | 0.484736i | ||||
\(451\) | 5.49368 | + | 5.76160i | 0.258687 | + | 0.271303i | ||||
\(452\) | −51.9379 | − | 20.7928i | −2.44295 | − | 0.978012i | ||||
\(453\) | −17.3711 | − | 20.2851i | −0.816165 | − | 0.953076i | ||||
\(454\) | 0.588302 | − | 0.268668i | 0.0276104 | − | 0.0126092i | ||||
\(455\) | −2.77486 | − | 35.6398i | −0.130087 | − | 1.67082i | ||||
\(456\) | −23.0691 | − | 32.7991i | −1.08031 | − | 1.53596i | ||||
\(457\) | −5.40734 | − | 13.5069i | −0.252945 | − | 0.631826i | 0.746492 | − | 0.665395i | \(-0.231737\pi\) |
−0.999436 | + | 0.0335693i | \(0.989313\pi\) | |||||||
\(458\) | −0.893964 | − | 18.7666i | −0.0417722 | − | 0.876906i | ||||
\(459\) | −3.62140 | + | 6.02652i | −0.169033 | + | 0.281294i | ||||
\(460\) | 38.2383 | + | 46.4062i | 1.78287 | + | 2.16370i | ||||
\(461\) | − | 1.72029i | − | 0.0801218i | −0.999197 | − | 0.0400609i | \(-0.987245\pi\) | ||
0.999197 | − | 0.0400609i | \(-0.0127552\pi\) | |||||||
\(462\) | 48.5327 | − | 18.1279i | 2.25795 | − | 0.843384i | ||||
\(463\) | 1.94545 | − | 13.5309i | 0.0904127 | − | 0.628834i | −0.893350 | − | 0.449361i | \(-0.851652\pi\) |
0.983763 | − | 0.179473i | \(-0.0574392\pi\) | |||||||
\(464\) | −0.891240 | − | 9.33349i | −0.0413748 | − | 0.433296i | ||||
\(465\) | 13.3814 | + | 12.9089i | 0.620546 | + | 0.598636i | ||||
\(466\) | 22.6104 | + | 2.15903i | 1.04740 | + | 0.100015i | ||||
\(467\) | −6.39344 | + | 18.4726i | −0.295853 | + | 0.854812i | 0.694897 | + | 0.719110i | \(0.255450\pi\) |
−0.990750 | + | 0.135702i | \(0.956671\pi\) | |||||||
\(468\) | 42.9095 | − | 32.9419i | 1.98349 | − | 1.52274i | ||||
\(469\) | 0.676910 | + | 22.4806i | 0.0312568 | + | 1.03806i | ||||
\(470\) | 1.17308 | − | 1.35381i | 0.0541104 | − | 0.0624467i | ||||
\(471\) | 11.9938 | − | 18.4256i | 0.552646 | − | 0.849009i | ||||
\(472\) | −35.2846 | + | 18.1905i | −1.62410 | + | 0.837284i | ||||
\(473\) | −41.0938 | + | 14.2227i | −1.88950 | + | 0.653961i | ||||
\(474\) | 40.0107 | + | 12.0020i | 1.83775 | + | 0.551271i | ||||
\(475\) | −19.5193 | + | 2.80645i | −0.895605 | + | 0.128769i | ||||
\(476\) | −12.8085 | + | 7.09910i | −0.587075 | + | 0.325387i | ||||
\(477\) | 15.9544 | − | 21.8608i | 0.730503 | − | 1.00094i | ||||
\(478\) | −47.9708 | − | 45.7401i | −2.19414 | − | 2.09210i | ||||
\(479\) | 20.3574 | + | 28.5880i | 0.930154 | + | 1.30622i | 0.951885 | + | 0.306455i | \(0.0991429\pi\) |
−0.0217309 | + | 0.999764i | \(0.506918\pi\) | |||||||
\(480\) | −1.77884 | − | 4.51951i | −0.0811925 | − | 0.206287i | ||||
\(481\) | −17.8322 | + | 34.5896i | −0.813077 | + | 1.57715i | ||||
\(482\) | −39.5518 | −1.80153 | ||||||||
\(483\) | 20.3987 | + | 8.17889i | 0.928172 | + | 0.372152i | ||||
\(484\) | −40.8449 | −1.85659 | ||||||||
\(485\) | 3.13604 | − | 6.08308i | 0.142400 | − | 0.276218i | ||||
\(486\) | −37.9037 | − | 6.58259i | −1.71935 | − | 0.298592i | ||||
\(487\) | 14.0681 | + | 19.7558i | 0.637485 | + | 0.895223i | 0.999314 | − | 0.0370217i | \(-0.0117871\pi\) |
−0.361829 | + | 0.932244i | \(0.617848\pi\) | |||||||
\(488\) | −30.7694 | − | 29.3386i | −1.39286 | − | 1.32809i | ||||
\(489\) | −27.1654 | − | 2.75389i | −1.22846 | − | 0.124535i | ||||
\(490\) | −50.6138 | + | 15.5571i | −2.28650 | + | 0.702797i | ||||
\(491\) | −22.0940 | + | 3.17663i | −0.997086 | + | 0.143359i | −0.621488 | − | 0.783423i | \(-0.713472\pi\) |
−0.375598 | + | 0.926783i | \(0.622563\pi\) | |||||||
\(492\) | 3.53776 | − | 11.7937i | 0.159495 | − | 0.531701i | ||||
\(493\) | −2.63377 | + | 0.911556i | −0.118619 | + | 0.0410544i | ||||
\(494\) | 43.3889 | − | 22.3685i | 1.95216 | − | 1.00641i | ||||
\(495\) | 37.6629 | − | 18.8640i | 1.69282 | − | 0.847872i | ||||
\(496\) | −10.4398 | + | 12.0482i | −0.468762 | + | 0.540981i | ||||
\(497\) | 34.4299 | − | 21.2848i | 1.54439 | − | 0.954755i | ||||
\(498\) | −3.90554 | + | 9.59310i | −0.175012 | + | 0.429877i | ||||
\(499\) | −2.24469 | + | 6.48560i | −0.100486 | + | 0.290335i | −0.984027 | − | 0.178018i | \(-0.943031\pi\) |
0.883541 | + | 0.468354i | \(0.155153\pi\) | |||||||
\(500\) | 7.55419 | + | 0.721338i | 0.337834 | + | 0.0322592i | ||||
\(501\) | −5.99003 | + | 6.20927i | −0.267615 | + | 0.277410i | ||||
\(502\) | 4.93974 | + | 51.7313i | 0.220472 | + | 2.30888i | ||||
\(503\) | 1.20262 | − | 8.36444i | 0.0536224 | − | 0.372952i | −0.945286 | − | 0.326242i | \(-0.894217\pi\) |
0.998909 | − | 0.0467094i | \(-0.0148735\pi\) | |||||||
\(504\) | −31.4389 | − | 26.2427i | −1.40040 | − | 1.16894i | ||||
\(505\) | 1.34532i | 0.0598660i | ||||||||
\(506\) | −40.0828 | − | 36.5109i | −1.78190 | − | 1.62311i | ||||
\(507\) | 5.51367 | + | 9.67985i | 0.244871 | + | 0.429897i | ||||
\(508\) | −0.331581 | − | 6.96075i | −0.0147115 | − | 0.308833i | ||||
\(509\) | −0.261715 | − | 0.653733i | −0.0116003 | − | 0.0289762i | 0.922455 | − | 0.386105i | \(-0.126180\pi\) |
−0.934055 | + | 0.357129i | \(0.883756\pi\) | |||||||
\(510\) | −14.5006 | + | 10.1990i | −0.642098 | + | 0.451617i | ||||
\(511\) | 16.5624 | − | 11.3626i | 0.732676 | − | 0.502650i | ||||
\(512\) | −38.9387 | + | 17.7827i | −1.72086 | + | 0.785892i | ||||
\(513\) | −21.8968 | − | 8.01010i | −0.966769 | − | 0.353655i | ||||
\(514\) | 2.16025 | + | 0.864835i | 0.0952847 | + | 0.0381463i | ||||
\(515\) | −29.4810 | − | 30.9188i | −1.29909 | − | 1.36245i | ||||
\(516\) | 50.5721 | + | 44.3398i | 2.22631 | + | 1.95195i | ||||
\(517\) | −0.586503 | + | 0.912616i | −0.0257944 | + | 0.0401368i | ||||
\(518\) | 55.7720 | + | 14.5680i | 2.45048 | + | 0.640081i | ||||
\(519\) | −1.52493 | + | 0.517847i | −0.0669369 | + | 0.0227310i | ||||
\(520\) | 67.7465 | − | 16.4351i | 2.97088 | − | 0.720728i | ||||
\(521\) | 6.66516 | + | 2.66833i | 0.292006 | + | 0.116902i | 0.513040 | − | 0.858364i | \(-0.328519\pi\) |
−0.221034 | + | 0.975266i | \(0.570943\pi\) | |||||||
\(522\) | −9.85154 | − | 11.6408i | −0.431190 | − | 0.509505i | ||||
\(523\) | −19.4631 | − | 13.8596i | −0.851061 | − | 0.606037i | 0.0690864 | − | 0.997611i | \(-0.477992\pi\) |
−0.920147 | + | 0.391573i | \(0.871931\pi\) | |||||||
\(524\) | −19.3524 | − | 65.9082i | −0.845413 | − | 2.87921i | ||||
\(525\) | −18.5095 | + | 7.93658i | −0.807823 | + | 0.346381i | ||||
\(526\) | −7.26210 | − | 1.04413i | −0.316643 | − | 0.0455263i | ||||
\(527\) | 4.21208 | + | 2.17148i | 0.183481 | + | 0.0945911i | ||||
\(528\) | 17.8759 | + | 31.3831i | 0.777948 | + | 1.36577i | ||||
\(529\) | −2.14052 | − | 22.9002i | −0.0930661 | − | 0.995660i | ||||
\(530\) | 59.0975 | − | 34.1199i | 2.56703 | − | 1.48208i | ||||
\(531\) | −10.8154 | + | 20.3916i | −0.469348 | + | 0.884919i | ||||
\(532\) | −31.1553 | − | 37.2527i | −1.35075 | − | 1.61511i | ||||
\(533\) | 6.96837 | + | 3.18235i | 0.301833 | + | 0.137843i | ||||
\(534\) | 4.56217 | + | 15.8792i | 0.197425 | + | 0.687162i | ||||
\(535\) | 0.834710 | + | 0.0797051i | 0.0360876 | + | 0.00344595i | ||||
\(536\) | −43.0668 | + | 8.30044i | −1.86020 | + | 0.358524i | ||||
\(537\) | 13.7212 | − | 1.89122i | 0.592113 | − | 0.0816123i | ||||
\(538\) | 55.1994 | + | 16.2080i | 2.37981 | + | 0.698777i | ||||
\(539\) | 28.9986 | − | 13.6875i | 1.24906 | − | 0.589562i | ||||
\(540\) | −54.1832 | − | 36.1759i | −2.33167 | − | 1.55676i | ||||
\(541\) | 0.158465 | − | 3.32658i | 0.00681293 | − | 0.143021i | −0.992898 | − | 0.118970i | \(-0.962041\pi\) |
0.999711 | − | 0.0240507i | \(-0.00765631\pi\) | |||||||
\(542\) | 60.6027 | − | 20.9748i | 2.60311 | − | 0.900945i | ||||
\(543\) | −17.6096 | + | 4.16348i | −0.755700 | + | 0.178672i | ||||
\(544\) | −0.765230 | − | 0.973069i | −0.0328090 | − | 0.0417200i | ||||
\(545\) | −39.4379 | + | 34.1732i | −1.68934 | + | 1.46382i | ||||
\(546\) | 36.8734 | − | 33.5519i | 1.57803 | − | 1.43589i | ||||
\(547\) | 22.8941 | − | 6.72230i | 0.978880 | − | 0.287425i | 0.247118 | − | 0.968985i | \(-0.420517\pi\) |
0.731762 | + | 0.681560i | \(0.238698\pi\) | |||||||
\(548\) | −43.2728 | + | 4.13206i | −1.84852 | + | 0.176513i | ||||
\(549\) | −24.4260 | − | 3.80314i | −1.04248 | − | 0.162314i | ||||
\(550\) | 49.6282 | − | 2.36408i | 2.11615 | − | 0.100805i | ||||
\(551\) | −4.62124 | − | 8.00421i | −0.196871 | − | 0.340991i | ||||
\(552\) | −9.39591 | + | 41.8153i | −0.399917 | + | 1.77978i | ||||
\(553\) | 25.2982 | + | 5.33654i | 1.07579 | + | 0.226933i | ||||
\(554\) | −4.82681 | − | 7.51066i | −0.205072 | − | 0.319098i | ||||
\(555\) | 46.3508 | + | 6.94030i | 1.96748 | + | 0.294599i | ||||
\(556\) | 8.59924 | + | 12.0759i | 0.364689 | + | 0.512134i | ||||
\(557\) | −8.66809 | + | 35.7304i | −0.367279 | + | 1.51394i | 0.425796 | + | 0.904819i | \(0.359994\pi\) |
−0.793075 | + | 0.609125i | \(0.791521\pi\) | |||||||
\(558\) | −2.76559 | + | 25.7819i | −0.117077 | + | 1.09143i | ||||
\(559\) | −31.6245 | + | 27.4028i | −1.33757 | + | 1.15901i | ||||
\(560\) | −16.3382 | − | 33.1013i | −0.690417 | − | 1.39879i | ||||
\(561\) | 7.81309 | − | 7.36328i | 0.329869 | − | 0.310878i | ||||
\(562\) | −5.96592 | + | 30.9541i | −0.251657 | + | 1.30572i | ||||
\(563\) | 21.1403 | − | 10.8986i | 0.890956 | − | 0.459320i | 0.0489583 | − | 0.998801i | \(-0.484410\pi\) |
0.841998 | + | 0.539481i | \(0.181380\pi\) | |||||||
\(564\) | 1.67547 | + | 0.0896059i | 0.0705500 | + | 0.00377309i | ||||
\(565\) | −41.1621 | − | 7.93335i | −1.73170 | − | 0.333759i | ||||
\(566\) | −55.3280 | − | 16.2458i | −2.32561 | − | 0.682861i | ||||
\(567\) | −23.7187 | − | 2.10267i | −0.996094 | − | 0.0883040i | ||||
\(568\) | 51.6922 | + | 59.6559i | 2.16896 | + | 2.50311i | ||||
\(569\) | −3.90673 | + | 5.48624i | −0.163779 | + | 0.229995i | −0.888307 | − | 0.459250i | \(-0.848118\pi\) |
0.724528 | + | 0.689245i | \(0.242058\pi\) | |||||||
\(570\) | −42.3113 | − | 40.8173i | −1.77222 | − | 1.70965i | ||||
\(571\) | −8.62742 | + | 6.14356i | −0.361046 | + | 0.257100i | −0.746156 | − | 0.665771i | \(-0.768103\pi\) |
0.385110 | + | 0.922871i | \(0.374164\pi\) | |||||||
\(572\) | −76.6866 | + | 30.7007i | −3.20643 | + | 1.28366i | ||||
\(573\) | −0.0878472 | − | 2.10191i | −0.00366987 | − | 0.0878087i | ||||
\(574\) | 2.34211 | − | 11.1029i | 0.0977576 | − | 0.463426i | ||||
\(575\) | 16.2391 | + | 13.4355i | 0.677218 | + | 0.560297i | ||||
\(576\) | −10.4758 | + | 17.6657i | −0.436492 | + | 0.736069i | ||||
\(577\) | −0.673247 | − | 14.1332i | −0.0280276 | − | 0.588373i | −0.968577 | − | 0.248715i | \(-0.919992\pi\) |
0.940549 | − | 0.339658i | \(-0.110311\pi\) | |||||||
\(578\) | 23.1415 | − | 29.4268i | 0.962560 | − | 1.22399i | ||||
\(579\) | 10.4965 | − | 22.6340i | 0.436221 | − | 0.940639i | ||||
\(580\) | −7.27589 | − | 24.7794i | −0.302115 | − | 1.02891i | ||||
\(581\) | −1.91351 | + | 6.11866i | −0.0793858 | + | 0.253845i | ||||
\(582\) | 9.38234 | − | 1.75163i | 0.388910 | − | 0.0726073i | ||||
\(583\) | −32.4841 | + | 25.5458i | −1.34535 | + | 1.05800i | ||||
\(584\) | 27.0293 | + | 28.3475i | 1.11848 | + | 1.17303i | ||||
\(585\) | 26.8995 | − | 30.3220i | 1.11216 | − | 1.25366i | ||||
\(586\) | −80.9495 | − | 3.85610i | −3.34399 | − | 0.159294i | ||||
\(587\) | 12.0787 | − | 18.7948i | 0.498540 | − | 0.775744i | −0.497230 | − | 0.867619i | \(-0.665650\pi\) |
0.995771 | + | 0.0918749i | \(0.0292860\pi\) | |||||||
\(588\) | −40.5938 | − | 28.4943i | −1.67406 | − | 1.17509i | ||||
\(589\) | −4.42746 | + | 15.0785i | −0.182430 | + | 0.621301i | ||||
\(590\) | −45.7491 | + | 35.9775i | −1.88346 | + | 1.48117i | ||||
\(591\) | −3.32108 | − | 1.17116i | −0.136611 | − | 0.0481752i | ||||
\(592\) | −3.81985 | + | 40.0033i | −0.156995 | + | 1.64413i | ||||
\(593\) | −2.11168 | + | 2.21467i | −0.0867165 | + | 0.0909457i | −0.765662 | − | 0.643243i | \(-0.777589\pi\) |
0.678946 | + | 0.734188i | \(0.262437\pi\) | |||||||
\(594\) | 53.0009 | + | 25.3342i | 2.17465 | + | 1.03948i | ||||
\(595\) | −8.41721 | + | 7.03951i | −0.345072 | + | 0.288592i | ||||
\(596\) | 25.3967 | − | 16.3215i | 1.04029 | − | 0.668554i | ||||
\(597\) | 0.0394007 | − | 6.75787i | 0.00161256 | − | 0.276581i | ||||
\(598\) | −48.8657 | − | 18.2816i | −1.99827 | − | 0.747591i | ||||
\(599\) | −33.9503 | − | 19.6012i | −1.38717 | − | 0.800883i | −0.394175 | − | 0.919036i | \(-0.628969\pi\) |
−0.992995 | + | 0.118153i | \(0.962303\pi\) | |||||||
\(600\) | −21.0400 | − | 33.1624i | −0.858955 | − | 1.35385i | ||||
\(601\) | 0.181176 | − | 1.26011i | 0.00739033 | − | 0.0514008i | −0.985793 | − | 0.167967i | \(-0.946280\pi\) |
0.993183 | + | 0.116566i | \(0.0371888\pi\) | |||||||
\(602\) | 49.8527 | + | 36.8314i | 2.03185 | + | 1.50113i | ||||
\(603\) | −17.8125 | + | 18.2503i | −0.725382 | + | 0.743210i | ||||
\(604\) | 36.5862 | − | 51.3781i | 1.48867 | − | 2.09054i | ||||
\(605\) | −30.0518 | + | 5.79202i | −1.22178 | + | 0.235479i | ||||
\(606\) | −1.48152 | + | 1.15116i | −0.0601824 | + | 0.0467627i | ||||
\(607\) | −5.35172 | − | 22.0601i | −0.217220 | − | 0.895391i | −0.971156 | − | 0.238444i | \(-0.923363\pi\) |
0.753937 | − | 0.656947i | \(-0.228153\pi\) | |||||||
\(608\) | 2.68833 | − | 3.10250i | 0.109026 | − | 0.125823i | ||||
\(609\) | −6.67754 | − | 6.67124i | −0.270587 | − | 0.270332i | ||||
\(610\) | −52.4365 | − | 33.6989i | −2.12309 | − | 1.36443i | ||||
\(611\) | −0.197561 | + | 1.02504i | −0.00799245 | + | 0.0414688i | ||||
\(612\) | −15.8768 | − | 4.86363i | −0.641780 | − | 0.196601i | ||||
\(613\) | 2.31088 | − | 5.77231i | 0.0933357 | − | 0.233141i | −0.874352 | − | 0.485292i | \(-0.838713\pi\) |
0.967688 | + | 0.252150i | \(0.0811377\pi\) | |||||||
\(614\) | −68.5524 | − | 23.7262i | −2.76655 | − | 0.957512i | ||||
\(615\) | 0.930518 | − | 9.17896i | 0.0375221 | − | 0.370131i | ||||
\(616\) | 35.3760 | + | 51.5649i | 1.42534 | + | 2.07761i | ||||
\(617\) | −12.8296 | + | 28.0929i | −0.516500 | + | 1.13098i | 0.454247 | + | 0.890876i | \(0.349908\pi\) |
−0.970748 | + | 0.240102i | \(0.922819\pi\) | |||||||
\(618\) | 8.82264 | − | 58.9220i | 0.354899 | − | 2.37019i | ||||
\(619\) | 11.8657 | − | 0.565231i | 0.476921 | − | 0.0227185i | 0.192254 | − | 0.981345i | \(-0.438420\pi\) |
0.284667 | + | 0.958627i | \(0.408117\pi\) | |||||||
\(620\) | −21.9558 | + | 38.0285i | −0.881766 | + | 1.52726i | ||||
\(621\) | 9.38449 | + | 23.0853i | 0.376587 | + | 0.926381i | ||||
\(622\) | −11.0289 | −0.442220 | ||||||||
\(623\) | 3.63396 | + | 9.55863i | 0.145592 | + | 0.382958i | ||||
\(624\) | 27.1933 | + | 21.6429i | 1.08861 | + | 0.866408i | ||||
\(625\) | 27.5346 | − | 2.62924i | 1.10139 | − | 0.105170i | ||||
\(626\) | 12.2656 | − | 50.5593i | 0.490231 | − | 2.02076i | ||||
\(627\) | 28.8804 | + | 20.8205i | 1.15337 | + | 0.831490i | ||||
\(628\) | 49.0676 | + | 16.9825i | 1.95801 | + | 0.677674i | ||||
\(629\) | 11.8237 | − | 1.69999i | 0.471443 | − | 0.0677832i | ||||
\(630\) | −52.5413 | − | 29.0563i | −2.09330 | − | 1.15763i | ||||
\(631\) | −17.8825 | − | 15.4953i | −0.711890 | − | 0.616857i | 0.221735 | − | 0.975107i | \(-0.428828\pi\) |
−0.933626 | + | 0.358250i | \(0.883373\pi\) | |||||||
\(632\) | −2.39907 | + | 50.3627i | −0.0954299 | + | 2.00332i | ||||
\(633\) | −0.387173 | + | 7.23943i | −0.0153887 | + | 0.287742i | ||||
\(634\) | 16.1452 | + | 46.6486i | 0.641209 | + | 1.85265i | ||||
\(635\) | −1.23103 | − | 5.07439i | −0.0488521 | − | 0.201371i | ||||
\(636\) | 59.1987 | + | 24.1010i | 2.34738 | + | 0.955667i | ||||
\(637\) | 21.0106 | − | 22.5988i | 0.832470 | − | 0.895399i | ||||
\(638\) | 9.67352 | + | 21.1821i | 0.382978 | + | 0.838605i | ||||
\(639\) | 44.4746 | + | 11.3401i | 1.75939 | + | 0.448609i | ||||
\(640\) | −46.7523 | + | 33.2922i | −1.84805 | + | 1.31599i | ||||
\(641\) | −3.81779 | − | 3.00235i | −0.150794 | − | 0.118586i | 0.539912 | − | 0.841722i | \(-0.318458\pi\) |
−0.690706 | + | 0.723136i | \(0.742700\pi\) | |||||||
\(642\) | 0.626468 | + | 0.987413i | 0.0247247 | + | 0.0389701i | ||||
\(643\) | − | 24.7545i | − | 0.976224i | −0.872781 | − | 0.488112i | \(-0.837686\pi\) | ||
0.872781 | − | 0.488112i | \(-0.162314\pi\) | |||||||
\(644\) | −7.11422 | + | 51.4143i | −0.280339 | + | 2.02601i | ||||
\(645\) | 43.4963 | + | 25.4519i | 1.71267 | + | 1.00217i | ||||
\(646\) | −13.3184 | − | 6.86611i | −0.524006 | − | 0.270144i | ||||
\(647\) | −28.0006 | + | 35.6057i | −1.10082 | + | 1.39981i | −0.192616 | + | 0.981274i | \(0.561697\pi\) |
−0.908203 | + | 0.418531i | \(0.862545\pi\) | |||||||
\(648\) | −3.33484 | − | 46.3155i | −0.131005 | − | 1.81944i | ||||
\(649\) | 24.3226 | − | 25.5088i | 0.954745 | − | 1.00131i | ||||
\(650\) | 43.4898 | − | 19.8611i | 1.70581 | − | 0.779017i | ||||
\(651\) | −0.374371 | + | 16.0449i | −0.0146727 | + | 0.628851i | ||||
\(652\) | −9.17730 | − | 63.8295i | −0.359411 | − | 2.49976i | ||||
\(653\) | 36.6939 | − | 8.90184i | 1.43594 | − | 0.348356i | 0.559087 | − | 0.829109i | \(-0.311152\pi\) |
0.876856 | + | 0.480753i | \(0.159637\pi\) | |||||||
\(654\) | −71.3788 | − | 14.1892i | −2.79113 | − | 0.554843i | ||||
\(655\) | −23.5847 | − | 45.7480i | −0.921532 | − | 1.78752i | ||||
\(656\) | 7.90161 | + | 0.376400i | 0.308506 | + | 0.0146960i | ||||
\(657\) | 22.3113 | + | 4.57059i | 0.870445 | + | 0.178316i | ||||
\(658\) | 1.54557 | − | 0.0465386i | 0.0602528 | − | 0.00181426i | ||||
\(659\) | −0.495848 | − | 3.44870i | −0.0193155 | − | 0.134342i | 0.977882 | − | 0.209158i | \(-0.0670723\pi\) |
−0.997197 | + | 0.0748157i | \(0.976163\pi\) | |||||||
\(660\) | 64.7079 | + | 75.5626i | 2.51875 | + | 2.94127i | ||||
\(661\) | −3.51472 | + | 36.8078i | −0.136707 | + | 1.43166i | 0.623422 | + | 0.781885i | \(0.285742\pi\) |
−0.760129 | + | 0.649772i | \(0.774864\pi\) | |||||||
\(662\) | −6.15665 | − | 1.49359i | −0.239285 | − | 0.0580499i | ||||
\(663\) | 4.34639 | − | 9.37228i | 0.168800 | − | 0.363989i | ||||
\(664\) | −12.3747 | − | 1.77921i | −0.480230 | − | 0.0690466i | ||||
\(665\) | −28.2053 | − | 22.9909i | −1.09375 | − | 0.891547i | ||||
\(666\) | 32.0184 | + | 56.9818i | 1.24069 | + | 2.20800i | ||||
\(667\) | −3.01720 | + | 9.40620i | −0.116826 | + | 0.364210i | ||||
\(668\) | −17.6461 | − | 10.1880i | −0.682750 | − | 0.394186i | ||||
\(669\) | 27.2603 | + | 14.2554i | 1.05394 | + | 0.551147i | ||||
\(670\) | −59.6966 | + | 23.8989i | −2.30628 | + | 0.923295i | ||||
\(671\) | 34.3363 | + | 15.6809i | 1.32554 | + | 0.605353i | ||||
\(672\) | 1.83011 | − | 3.77196i | 0.0705980 | − | 0.145507i | ||||
\(673\) | 5.74058 | + | 12.5701i | 0.221283 | + | 0.484542i | 0.987417 | − | 0.158139i | \(-0.0505494\pi\) |
−0.766134 | + | 0.642681i | \(0.777822\pi\) | |||||||
\(674\) | 13.7130 | − | 39.6210i | 0.528204 | − | 1.52615i | ||||
\(675\) | −21.0484 | − | 8.85672i | −0.810153 | − | 0.340895i | ||||
\(676\) | −19.0412 | + | 18.1557i | −0.732353 | + | 0.698297i | ||||
\(677\) | 21.7439 | + | 4.19079i | 0.835686 | + | 0.161065i | 0.589104 | − | 0.808057i | \(-0.299481\pi\) |
0.246581 | + | 0.969122i | \(0.420693\pi\) | |||||||
\(678\) | −26.4850 | − | 52.1175i | −1.01715 | − | 2.00156i | ||||
\(679\) | 5.69652 | − | 1.56492i | 0.218612 | − | 0.0600561i | ||||
\(680\) | −16.1717 | − | 14.0129i | −0.620157 | − | 0.537369i | ||||
\(681\) | 0.434765 | + | 0.130417i | 0.0166602 | + | 0.00499757i | ||||
\(682\) | 14.7157 | − | 36.7580i | 0.563493 | − | 1.40754i | ||||
\(683\) | 5.43772 | + | 28.2136i | 0.208069 | + | 1.07956i | 0.924291 | + | 0.381690i | \(0.124658\pi\) |
−0.716222 | + | 0.697873i | \(0.754130\pi\) | |||||||
\(684\) | 5.87316 | − | 54.7517i | 0.224566 | − | 2.09348i | ||||
\(685\) | −31.2523 | + | 9.17649i | −1.19409 | + | 0.350616i | ||||
\(686\) | −39.4707 | − | 23.0467i | −1.50700 | − | 0.879928i | ||||
\(687\) | 8.21124 | − | 10.3171i | 0.313278 | − | 0.393621i | ||||
\(688\) | −19.8001 | + | 38.4069i | −0.754873 | + | 1.46425i | ||||
\(689\) | −19.8834 | + | 34.4390i | −0.757495 | + | 1.31202i | ||||
\(690\) | −1.92430 | + | 62.8051i | −0.0732568 | + | 2.39095i | ||||
\(691\) | 21.2012 | + | 36.7215i | 0.806531 | + | 1.39695i | 0.915253 | + | 0.402880i | \(0.131991\pi\) |
−0.108722 | + | 0.994072i | \(0.534676\pi\) | |||||||
\(692\) | −2.05630 | − | 3.19967i | −0.0781689 | − | 0.121633i | ||||
\(693\) | 33.9990 | + | 12.8889i | 1.29151 | + | 0.489610i | ||||
\(694\) | −5.80381 | + | 12.7086i | −0.220310 | + | 0.482411i | ||||
\(695\) | 8.03936 | + | 7.66552i | 0.304950 | + | 0.290770i | ||||
\(696\) | 10.7644 | − | 14.9314i | 0.408023 | − | 0.565975i | ||||
\(697\) | −0.445018 | − | 2.30897i | −0.0168563 | − | 0.0874585i | ||||
\(698\) | 46.1136 | + | 58.6383i | 1.74543 | + | 2.21949i | ||||
\(699\) | 10.9329 | + | 11.6008i | 0.413521 | + | 0.438782i | ||||
\(700\) | −28.7431 | − | 37.8962i | −1.08639 | − | 1.43234i | ||||
\(701\) | 5.70184 | + | 3.66435i | 0.215356 | + | 0.138401i | 0.643872 | − | 0.765134i | \(-0.277327\pi\) |
−0.428516 | + | 0.903534i | \(0.640963\pi\) | |||||||
\(702\) | 56.4089 | + | 3.67689i | 2.12902 | + | 0.138775i | ||||
\(703\) | 12.9562 | + | 37.4345i | 0.488653 | + | 1.41187i | ||||
\(704\) | 22.6973 | − | 21.6419i | 0.855438 | − | 0.815658i | ||||
\(705\) | 1.24544 | − | 0.171662i | 0.0469061 | − | 0.00646518i | ||||
\(706\) | 21.6050 | + | 24.9335i | 0.813114 | + | 0.938384i | ||||
\(707\) | −0.854342 | + | 0.786538i | −0.0321308 | + | 0.0295808i | ||||
\(708\) | −52.9013 | − | 13.1608i | −1.98815 | − | 0.494612i | ||||
\(709\) | −2.91181 | − | 30.4938i | −0.109355 | − | 1.14522i | −0.868976 | − | 0.494854i | \(-0.835221\pi\) |
0.759621 | − | 0.650366i | \(-0.225385\pi\) | |||||||
\(710\) | 90.9693 | + | 71.5390i | 3.41402 | + | 2.68481i | ||||
\(711\) | 15.5612 | + | 24.8459i | 0.583589 | + | 0.931796i | ||||
\(712\) | −17.2702 | + | 9.97098i | −0.647229 | + | 0.373678i | ||||
\(713\) | 15.1153 | − | 7.32390i | 0.566072 | − | 0.274282i | ||||
\(714\) | −14.9546 | − | 3.24578i | −0.559660 | − | 0.121470i | ||||
\(715\) | −52.0690 | + | 33.4627i | −1.94727 | + | 1.25144i | ||||
\(716\) | 12.1578 | + | 30.3688i | 0.454359 | + | 1.13493i | ||||
\(717\) | −4.15183 | − | 46.3331i | −0.155053 | − | 1.73034i | ||||
\(718\) | −87.0810 | − | 21.1256i | −3.24983 | − | 0.788401i | ||||
\(719\) | −27.5338 | − | 19.6067i | −1.02684 | − | 0.731206i | −0.0630844 | − | 0.998008i | \(-0.520094\pi\) |
−0.963751 | + | 0.266802i | \(0.914033\pi\) | |||||||
\(720\) | 14.1502 | − | 39.3920i | 0.527346 | − | 1.46805i | ||||
\(721\) | 2.39889 | − | 36.7984i | 0.0893394 | − | 1.37044i | ||||
\(722\) | 0.788860 | − | 2.68661i | 0.0293583 | − | 0.0999853i | ||||
\(723\) | −20.8721 | − | 18.2999i | −0.776243 | − | 0.680582i | ||||
\(724\) | −19.5826 | − | 37.9849i | −0.727781 | − | 1.41170i | ||||
\(725\) | −4.14794 | − | 8.04588i | −0.154051 | − | 0.298816i | ||||
\(726\) | −32.0930 | − | 28.1380i | −1.19108 | − | 1.04430i | ||||
\(727\) | 6.56597 | − | 22.3617i | 0.243518 | − | 0.829348i | −0.743499 | − | 0.668737i | \(-0.766835\pi\) |
0.987018 | − | 0.160611i | \(-0.0513465\pi\) | |||||||
\(728\) | 50.0449 | + | 33.4134i | 1.85479 | + | 1.23838i | ||||
\(729\) | −16.9568 | − | 21.0111i | −0.628028 | − | 0.778191i | ||||
\(730\) | 46.7773 | + | 33.3099i | 1.73130 | + | 1.23286i | ||||
\(731\) | 12.4825 | + | 3.02822i | 0.461681 | + | 0.112003i | ||||
\(732\) | −5.21068 | − | 58.1496i | −0.192592 | − | 2.14927i | ||||
\(733\) | 15.1477 | + | 37.8372i | 0.559494 | + | 1.39755i | 0.890960 | + | 0.454082i | \(0.150033\pi\) |
−0.331465 | + | 0.943467i | \(0.607543\pi\) | |||||||
\(734\) | −66.1741 | + | 42.5275i | −2.44253 | + | 1.56972i | ||||
\(735\) | −33.9077 | − | 15.2084i | −1.25071 | − | 0.560971i | ||||
\(736\) | −4.38646 | + | 0.100031i | −0.161687 | + | 0.00368719i | ||||
\(737\) | 33.7241 | − | 19.4706i | 1.24224 | − | 0.717210i | ||||
\(738\) | 10.9044 | − | 6.82950i | 0.401397 | − | 0.251397i | ||||
\(739\) | 15.3939 | + | 12.1059i | 0.566274 | + | 0.445323i | 0.859802 | − | 0.510627i | \(-0.170587\pi\) |
−0.293528 | + | 0.955951i | \(0.594829\pi\) | |||||||
\(740\) | 10.5216 | + | 110.187i | 0.386781 | + | 4.05055i | ||||
\(741\) | 33.2466 | + | 8.27107i | 1.22134 | + | 0.303845i | ||||
\(742\) | 56.2189 | + | 17.5815i | 2.06386 | + | 0.645438i | ||||
\(743\) | 12.7834 | + | 14.7528i | 0.468978 | + | 0.541229i | 0.940127 | − | 0.340824i | \(-0.110706\pi\) |
−0.471149 | + | 0.882053i | \(0.656161\pi\) | |||||||
\(744\) | −31.0047 | + | 4.27345i | −1.13669 | + | 0.156672i | ||||
\(745\) | 16.3713 | − | 15.6100i | 0.599798 | − | 0.571906i | ||||
\(746\) | 2.58023 | + | 7.45509i | 0.0944691 | + | 0.272950i | ||||
\(747\) | −6.49959 | + | 3.25541i | −0.237807 | + | 0.119109i | ||||
\(748\) | 21.3304 | + | 13.7082i | 0.779918 | + | 0.501223i | ||||
\(749\) | 0.437394 | + | 0.576679i | 0.0159820 | + | 0.0210714i | ||||
\(750\) | 5.43862 | + | 5.77085i | 0.198590 | + | 0.210722i | ||||
\(751\) | 11.2054 | + | 14.2489i | 0.408893 | + | 0.519949i | 0.946263 | − | 0.323397i | \(-0.104825\pi\) |
−0.537371 | + | 0.843346i | \(0.680582\pi\) | |||||||
\(752\) | 0.204006 | + | 1.05849i | 0.00743934 | + | 0.0385990i | ||||
\(753\) | −21.3284 | + | 29.5850i | −0.777251 | + | 1.07814i | ||||
\(754\) | 16.2174 | + | 15.4633i | 0.590604 | + | 0.563140i | ||||
\(755\) | 19.6328 | − | 42.9898i | 0.714510 | − | 1.56456i | ||||
\(756\) | −8.70465 | − | 55.5590i | −0.316585 | − | 2.02066i | ||||
\(757\) | 6.55635 | + | 10.2019i | 0.238295 | + | 0.370794i | 0.939718 | − | 0.341952i | \(-0.111088\pi\) |
−0.701423 | + | 0.712745i | \(0.747452\pi\) | |||||||
\(758\) | 16.9898 | + | 29.4272i | 0.617097 | + | 1.06884i | ||||
\(759\) | −4.25936 | − | 37.8130i | −0.154605 | − | 1.37252i | ||||
\(760\) | 35.4806 | − | 61.4542i | 1.28702 | − | 2.22918i | ||||
\(761\) | −5.16017 | + | 10.0093i | −0.187056 | + | 0.362838i | −0.963652 | − | 0.267161i | \(-0.913914\pi\) |
0.776596 | + | 0.629999i | \(0.216945\pi\) | |||||||
\(762\) | 4.53472 | − | 5.69769i | 0.164276 | − | 0.206406i | ||||
\(763\) | −44.7588 | − | 5.06569i | −1.62038 | − | 0.183390i | ||||
\(764\) | 4.76721 | − | 1.39978i | 0.172472 | − | 0.0506423i | ||||
\(765\) | −12.3711 | − | 1.32704i | −0.447278 | − | 0.0479791i | ||||
\(766\) | 2.02567 | + | 10.5102i | 0.0731906 | + | 0.379749i | ||||
\(767\) | 12.6055 | − | 31.4870i | 0.455159 | − | 1.13693i | ||||
\(768\) | −53.9519 | − | 16.1840i | −1.94682 | − | 0.583988i | ||||
\(769\) | 9.91168 | + | 8.58852i | 0.357424 | + | 0.309710i | 0.815000 | − | 0.579461i | \(-0.196737\pi\) |
−0.457576 | + | 0.889171i | \(0.651282\pi\) | |||||||
\(770\) | 65.2352 | + | 64.4181i | 2.35091 | + | 2.32147i | ||||
\(771\) | 0.739857 | + | 1.45590i | 0.0266453 | + | 0.0524330i | ||||
\(772\) | 57.8590 | + | 11.1514i | 2.08239 | + | 0.401348i | ||||
\(773\) | −11.2861 | + | 10.7613i | −0.405933 | + | 0.387056i | −0.865353 | − | 0.501163i | \(-0.832906\pi\) |
0.459420 | + | 0.888219i | \(0.348057\pi\) | |||||||
\(774\) | 9.19028 | + | 69.6782i | 0.330338 | + | 2.50453i | ||||
\(775\) | −5.03408 | + | 14.5450i | −0.180829 | + | 0.522472i | ||||
\(776\) | 4.78573 | + | 10.4793i | 0.171798 | + | 0.376184i | ||||
\(777\) | 22.6915 | + | 33.4926i | 0.814051 | + | 1.20154i | ||||
\(778\) | −52.6742 | − | 24.0555i | −1.88846 | − | 0.862431i | ||||
\(779\) | 7.23938 | − | 2.89821i | 0.259378 | − | 0.103839i | ||||
\(780\) | 84.8311 | + | 44.3614i | 3.03744 | + | 1.58839i | ||||
\(781\) | −60.6952 | − | 35.0424i | −2.17184 | − | 1.25391i | ||||
\(782\) | 4.12949 | + | 15.4733i | 0.147670 | + | 0.553325i | ||||
\(783\) | 0.187192 | − | 10.7012i | 0.00668969 | − | 0.382430i | ||||
\(784\) | 11.4688 | − | 29.7281i | 0.409599 | − | 1.06172i | ||||
\(785\) | 38.5099 | + | 5.53689i | 1.37448 | + | 0.197620i | ||||
\(786\) | 30.1984 | − | 65.1179i | 1.07714 | − | 2.32268i | ||||
\(787\) | −36.2018 | − | 8.78247i | −1.29046 | − | 0.313061i | −0.468932 | − | 0.883234i | \(-0.655361\pi\) |
−0.821525 | + | 0.570173i | \(0.806876\pi\) | |||||||
\(788\) | 0.790570 | − | 8.27922i | 0.0281629 | − | 0.294935i | ||||
\(789\) | −3.34923 | − | 3.91106i | −0.119236 | − | 0.139237i | ||||
\(790\) | 10.5201 | + | 73.1686i | 0.374287 | + | 2.60322i | ||||
\(791\) | −19.0273 | − | 30.7781i | −0.676532 | − | 1.09434i | ||||
\(792\) | −14.2300 | + | 69.4634i | −0.505640 | + | 2.46827i | ||||
\(793\) | 36.2824 | + | 1.72834i | 1.28843 | + | 0.0613753i | ||||
\(794\) | 2.95895 | + | 5.73957i | 0.105009 | + | 0.203690i | ||||
\(795\) | 46.9734 | + | 9.33775i | 1.66598 | + | 0.331176i | ||||
\(796\) | 15.5106 | − | 3.76283i | 0.549758 | − | 0.133370i | ||||
\(797\) | 0.140584 | + | 0.977782i | 0.00497974 | + | 0.0346348i | 0.992160 | − | 0.124976i | \(-0.0398853\pi\) |
−0.987180 | + | 0.159610i | \(0.948976\pi\) | |||||||
\(798\) | 1.18374 | − | 50.7334i | 0.0419040 | − | 1.79594i | ||||
\(799\) | 0.291475 | − | 0.133112i | 0.0103116 | − | 0.00470917i | ||||
\(800\) | 2.77458 | − | 2.90989i | 0.0980962 | − | 0.102880i | ||||
\(801\) | −4.93952 | + | 10.4906i | −0.174529 | + | 0.370666i | ||||
\(802\) | 3.43064 | − | 4.36241i | 0.121140 | − | 0.154042i | ||||
\(803\) | −30.9105 | − | 15.9354i | −1.09081 | − | 0.562350i | ||||
\(804\) | −51.9834 | − | 30.4181i | −1.83331 | − | 1.07276i | ||||
\(805\) | 2.05650 | + | 38.8372i | 0.0724819 | + | 1.36883i | ||||
\(806\) | − | 38.1007i | − | 1.34204i | ||||||
\(807\) | 21.6305 | + | 34.0931i | 0.761428 | + | 1.20013i | ||||
\(808\) | −1.78009 | − | 1.39988i | −0.0626234 | − | 0.0492476i | ||||
\(809\) | 3.34325 | − | 2.38072i | 0.117543 | − | 0.0837017i | −0.519774 | − | 0.854304i | \(-0.673984\pi\) |
0.637316 | + | 0.770602i | \(0.280044\pi\) | |||||||
\(810\) | −17.6518 | − | 65.7513i | −0.620219 | − | 2.31026i | ||||
\(811\) | −16.1708 | − | 35.4091i | −0.567834 | − | 1.24338i | −0.947943 | − | 0.318441i | \(-0.896841\pi\) |
0.380109 | − | 0.924942i | \(-0.375887\pi\) | |||||||
\(812\) | 11.4823 | − | 19.1077i | 0.402948 | − | 0.670550i | ||||
\(813\) | 41.6858 | + | 16.9711i | 1.46198 | + | 0.595203i | ||||
\(814\) | −23.5300 | − | 96.9921i | −0.824727 | − | 3.39957i | ||||
\(815\) | −15.8036 | − | 45.6615i | −0.553576 | − | 1.59945i | ||||
\(816\) | 0.569728 | − | 10.6529i | 0.0199445 | − | 0.372925i | ||||
\(817\) | −2.02676 | + | 42.5470i | −0.0709075 | + | 1.48853i | ||||
\(818\) | 21.2921 | + | 18.4497i | 0.744462 | + | 0.645080i | ||||
\(819\) | 34.9826 | − | 0.645194i | 1.22239 | − | 0.0225449i | ||||
\(820\) | 21.5675 | − | 3.10093i | 0.753169 | − | 0.108289i | ||||
\(821\) | 46.7495 | + | 16.1802i | 1.63157 | + | 0.564692i | 0.980873 | − | 0.194647i | \(-0.0623561\pi\) |
0.650696 | + | 0.759339i | \(0.274477\pi\) | |||||||
\(822\) | −36.8473 | − | 26.5640i | −1.28520 | − | 0.926525i | ||||
\(823\) | 2.76676 | − | 11.4047i | 0.0964430 | − | 0.397544i | −0.903045 | − | 0.429546i | \(-0.858673\pi\) |
0.999488 | + | 0.0320029i | \(0.0101886\pi\) | |||||||
\(824\) | 71.5874 | − | 6.83577i | 2.49387 | − | 0.238135i | ||||
\(825\) | 27.2834 | + | 21.7146i | 0.949887 | + | 0.756004i | ||||
\(826\) | −49.5944 | − | 8.01867i | −1.72561 | − | 0.279005i | ||||
\(827\) | −32.0231 | −1.11355 | −0.556776 | − | 0.830663i | \(-0.687962\pi\) | ||||
−0.556776 | + | 0.830663i | \(0.687962\pi\) | |||||||
\(828\) | −47.5576 | + | 34.6705i | −1.65274 | + | 1.20488i | ||||
\(829\) | 26.0517 | − | 45.1229i | 0.904813 | − | 1.56718i | 0.0836455 | − | 0.996496i | \(-0.473344\pi\) |
0.821168 | − | 0.570687i | \(-0.193323\pi\) | |||||||
\(830\) | −18.3084 | + | 0.872138i | −0.635495 | + | 0.0302724i | ||||
\(831\) | 0.927870 | − | 6.19678i | 0.0321875 | − | 0.214964i | ||||
\(832\) | 12.5366 | − | 27.4513i | 0.434627 | − | 0.951701i | ||||
\(833\) | −9.39151 | − | 1.22969i | −0.325397 | − | 0.0426063i | ||||
\(834\) | −1.56244 | + | 15.4124i | −0.0541028 | + | 0.533689i | ||||
\(835\) | −14.4279 | − | 4.99356i | −0.499300 | − | 0.172809i | ||||
\(836\) | −31.2510 | + | 78.0612i | −1.08084 | + | 2.69980i | ||||
\(837\) | −13.3883 | + | 12.3259i | −0.462767 | + | 0.426046i | ||||
\(838\) | −5.41075 | + | 28.0736i | −0.186911 | + | 0.969787i | ||||
\(839\) | −39.6094 | − | 25.4554i | −1.36747 | − | 0.878819i | −0.368755 | − | 0.929526i | \(-0.620216\pi\) |
−0.998714 | + | 0.0507075i | \(0.983852\pi\) | |||||||
\(840\) | 18.7237 | − | 70.0097i | 0.646027 | − | 2.41556i | ||||
\(841\) | −16.2126 | + | 18.7104i | −0.559057 | + | 0.645186i | ||||
\(842\) | 5.07636 | + | 20.9250i | 0.174943 | + | 0.721124i | ||||
\(843\) | −17.4703 | + | 13.5747i | −0.601708 | + | 0.467537i | ||||
\(844\) | −16.8126 | + | 3.24035i | −0.578712 | + | 0.111538i | ||||
\(845\) | −11.4351 | + | 16.0583i | −0.393378 | + | 0.552422i | ||||
\(846\) | 1.25474 | + | 1.22464i | 0.0431387 | + | 0.0421039i | ||||
\(847\) | −21.2479 | − | 15.6980i | −0.730087 | − | 0.539391i | ||||
\(848\) | −5.84403 | + | 40.6461i | −0.200685 | + | 1.39579i | ||||
\(849\) | −21.6809 | − | 34.1725i | −0.744086 | − | 1.17280i | ||||
\(850\) | −12.7094 | − | 7.33778i | −0.435929 | − | 0.251684i | ||||
\(851\) | 20.3277 | − | 37.1391i | 0.696824 | − | 1.27311i | ||||
\(852\) | −0.631984 | + | 108.396i | −0.0216514 | + | 3.71357i | ||||
\(853\) | −26.0850 | + | 16.7638i | −0.893134 | + | 0.573982i | −0.904747 | − | 0.425950i | \(-0.859940\pi\) |
0.0116126 | + | 0.999933i | \(0.496304\pi\) | |||||||
\(854\) | −9.25647 | − | 53.0016i | −0.316750 | − | 1.81368i | ||||
\(855\) | −3.44287 | − | 41.1167i | −0.117744 | − | 1.40616i | ||||
\(856\) | −0.974023 | + | 1.02153i | −0.0332914 | + | 0.0349150i | ||||
\(857\) | −5.02114 | + | 52.5838i | −0.171519 | + | 1.79623i | 0.343607 | + | 0.939114i | \(0.388351\pi\) |
−0.515126 | + | 0.857114i | \(0.672255\pi\) | |||||||
\(858\) | −81.4046 | − | 28.7069i | −2.77911 | − | 0.980039i | ||||
\(859\) | −19.8706 | + | 15.6264i | −0.677977 | + | 0.533167i | −0.896710 | − | 0.442618i | \(-0.854050\pi\) |
0.218734 | + | 0.975785i | \(0.429807\pi\) | |||||||
\(860\) | −33.5320 | + | 114.200i | −1.14343 | + | 3.89417i | ||||
\(861\) | 6.37309 | − | 4.77553i | 0.217194 | − | 0.162749i | ||||
\(862\) | −36.5637 | + | 56.8942i | −1.24536 | + | 1.93782i | ||||
\(863\) | −31.8551 | − | 1.51744i | −1.08436 | − | 0.0516544i | −0.502217 | − | 0.864741i | \(-0.667482\pi\) |
−0.582142 | + | 0.813087i | \(0.697785\pi\) | |||||||
\(864\) | 4.51889 | − | 1.47602i | 0.153736 | − | 0.0502152i | ||||
\(865\) | −1.96666 | − | 2.06258i | −0.0668686 | − | 0.0701298i | ||||
\(866\) | 9.05776 | − | 7.12310i | 0.307795 | − | 0.242053i | ||||
\(867\) | 25.8275 | − | 4.82183i | 0.877146 | − | 0.163758i | ||||
\(868\) | −36.9863 | + | 8.29032i | −1.25540 | + | 0.281392i | ||||
\(869\) | −12.6121 | − | 42.9527i | −0.427835 | − | 1.45707i | ||||
\(870\) | 11.3536 | − | 24.4823i | 0.384925 | − | 0.830027i | ||||
\(871\) | 23.1639 | − | 29.4553i | 0.784878 | − | 0.998053i | ||||
\(872\) | −4.17967 | − | 87.7421i | −0.141542 | − | 2.97132i | ||||
\(873\) | 5.76166 | + | 3.41669i | 0.195003 | + | 0.115637i | ||||
\(874\) | −47.7939 | + | 23.1578i | −1.61665 | + | 0.783325i | ||||
\(875\) | 3.65253 | + | 3.27857i | 0.123478 | + | 0.110836i | ||||
\(876\) | 2.24602 | + | 53.7404i | 0.0758860 | + | 1.81572i | ||||
\(877\) | −7.60056 | + | 3.04281i | −0.256653 | + | 0.102748i | −0.496421 | − | 0.868082i | \(-0.665353\pi\) |
0.239768 | + | 0.970830i | \(0.422929\pi\) | |||||||
\(878\) | −24.7763 | + | 17.6431i | −0.836158 | + | 0.595426i | ||||
\(879\) | −40.9342 | − | 39.4889i | −1.38068 | − | 1.33193i | ||||
\(880\) | −37.0737 | + | 52.0627i | −1.24975 | + | 1.75503i | ||||
\(881\) | 18.9757 | + | 21.8991i | 0.639306 | + | 0.737798i | 0.979252 | − | 0.202647i | \(-0.0649542\pi\) |
−0.339946 | + | 0.940445i | \(0.610409\pi\) | |||||||
\(882\) | −12.2660 | − | 50.3538i | −0.413018 | − | 1.69550i | ||||
\(883\) | 30.0653 | + | 8.82796i | 1.01178 | + | 0.297084i | 0.745280 | − | 0.666752i | \(-0.232316\pi\) |
0.266496 | + | 0.963836i | \(0.414134\pi\) | |||||||
\(884\) | 23.9582 | + | 4.61756i | 0.805800 | + | 0.155305i | ||||
\(885\) | −40.7887 | − | 2.18142i | −1.37110 | − | 0.0733277i | ||||
\(886\) | 84.6521 | − | 43.6412i | 2.84394 | − | 1.46615i | ||||
\(887\) | 4.34175 | − | 22.5271i | 0.145782 | − | 0.756387i | −0.833284 | − | 0.552844i | \(-0.813542\pi\) |
0.979066 | − | 0.203542i | \(-0.0652455\pi\) | |||||||
\(888\) | −57.4137 | + | 54.1083i | −1.92668 | + | 1.81576i | ||||
\(889\) | 2.50275 | − | 3.74849i | 0.0839396 | − | 0.125720i | ||||
\(890\) | −22.0959 | + | 19.1462i | −0.740658 | + | 0.641784i | ||||
\(891\) | 16.2477 | + | 37.8919i | 0.544320 | + | 1.26943i | ||||
\(892\) | −17.1286 | + | 70.6048i | −0.573506 | + | 2.36403i | ||||
\(893\) | 0.616380 | + | 0.865585i | 0.0206264 | + | 0.0289657i | ||||
\(894\) | 31.1988 | + | 4.67153i | 1.04344 | + | 0.156239i | ||||
\(895\) | 13.2516 | + | 20.6199i | 0.442953 | + | 0.689248i | ||||
\(896\) | −48.4757 | − | 10.2257i | −1.61946 | − | 0.341618i | ||||
\(897\) | −17.3286 | − | 32.2569i | −0.578587 | − | 1.07703i | ||||
\(898\) | −22.4493 | − | 38.8833i | −0.749143 | − | 1.29755i | ||||
\(899\) | −7.20562 | + | 0.343246i | −0.240321 | + | 0.0114479i | ||||
\(900\) | 8.29726 | − | 53.2899i | 0.276575 | − | 1.77633i | ||||
\(901\) | 12.1513 | − | 1.16031i | 0.404818 | − | 0.0386554i | ||||
\(902\) | −18.8511 | + | 5.53519i | −0.627674 | + | 0.184302i | ||||
\(903\) | 9.26686 | + | 42.5025i | 0.308382 | + | 1.41440i | ||||
\(904\) | 53.3285 | − | 46.2094i | 1.77368 | − | 1.53690i | ||||
\(905\) | −19.7945 | − | 25.1707i | −0.657990 | − | 0.836702i | ||||
\(906\) | 64.1412 | − | 15.1651i | 2.13095 | − | 0.503825i | ||||
\(907\) | 28.0290 | − | 9.70095i | 0.930689 | − | 0.322115i | 0.180680 | − | 0.983542i | \(-0.442170\pi\) |
0.750009 | + | 0.661427i | \(0.230049\pi\) | |||||||
\(908\) | −0.0510076 | + | 1.07078i | −0.00169275 | + | 0.0355351i | ||||
\(909\) | −1.31444 | − | 0.0779858i | −0.0435973 | − | 0.00258662i | ||||
\(910\) | 81.3164 | + | 34.2169i | 2.69561 | + | 1.13428i | ||||
\(911\) | −8.80621 | − | 2.58574i | −0.291763 | − | 0.0856693i | 0.132576 | − | 0.991173i | \(-0.457675\pi\) |
−0.424339 | + | 0.905504i | \(0.639493\pi\) | |||||||
\(912\) | 35.0464 | − | 4.83053i | 1.16050 | − | 0.159955i | ||||
\(913\) | 10.8994 | − | 2.10069i | 0.360719 | − | 0.0695228i | ||||
\(914\) | 35.7433 | + | 3.41307i | 1.18228 | + | 0.112894i | ||||
\(915\) | −12.0797 | − | 42.0450i | −0.399342 | − | 1.38996i | ||||
\(916\) | 28.3271 | + | 12.9366i | 0.935954 | + | 0.427436i | ||||
\(917\) | 15.2634 | − | 41.7239i | 0.504041 | − | 1.37784i | ||||
\(918\) | −9.12429 | − | 14.7590i | −0.301146 | − | 0.487120i | ||||
\(919\) | −7.53668 | + | 4.35130i | −0.248612 | + | 0.143536i | −0.619129 | − | 0.785290i | \(-0.712514\pi\) |
0.370517 | + | 0.928826i | \(0.379181\pi\) | |||||||
\(920\) | −74.1255 | + | 16.0474i | −2.44385 | + | 0.529069i | ||||
\(921\) | −25.1985 | − | 44.2387i | −0.830319 | − | 1.45772i | ||||
\(922\) | 3.77358 | + | 1.94541i | 0.124276 | + | 0.0640688i | ||||
\(923\) | −66.7546 | − | 9.59786i | −2.19725 | − | 0.315917i | ||||
\(924\) | −10.1545 | + | 85.2699i | −0.334058 | + | 2.80517i | ||||
\(925\) | 10.9305 | + | 37.2260i | 0.359394 | + | 1.22398i | ||||
\(926\) | 27.4810 | + | 19.5691i | 0.903081 | + | 0.643081i | ||||
\(927\) | 31.9181 | − | 27.0120i | 1.04833 | − | 0.887192i | ||||
\(928\) | 1.74944 | + | 0.700372i | 0.0574283 | + | 0.0229908i | ||||
\(929\) | −28.1369 | + | 6.82593i | −0.923141 | + | 0.223952i | −0.669040 | − | 0.743226i | \(-0.733295\pi\) |
−0.254101 | + | 0.967178i | \(0.581780\pi\) | |||||||
\(930\) | −43.4491 | + | 14.7548i | −1.42475 | + | 0.483829i | ||||
\(931\) | −1.88986 | − | 31.3532i | −0.0619376 | − | 1.02756i | ||||
\(932\) | −20.3538 | + | 31.6712i | −0.666711 | + | 1.03742i | ||||
\(933\) | −5.82015 | − | 5.10290i | −0.190543 | − | 0.167061i | ||||
\(934\) | −33.2910 | − | 34.9146i | −1.08931 | − | 1.14244i | ||||
\(935\) | 17.6379 | + | 7.06114i | 0.576820 | + | 0.230924i | ||||
\(936\) | 12.1308 | + | 67.1442i | 0.396506 | + | 2.19468i | ||||
\(937\) | 25.7502 | − | 11.7597i | 0.841224 | − | 0.384174i | 0.0522747 | − | 0.998633i | \(-0.483353\pi\) |
0.788949 | + | 0.614459i | \(0.210626\pi\) | |||||||
\(938\) | −50.0783 | − | 23.9377i | −1.63512 | − | 0.781593i | ||||
\(939\) | 29.8657 | − | 21.0059i | 0.974630 | − | 0.685503i | ||||
\(940\) | 1.10354 | + | 2.75651i | 0.0359935 | + | 0.0899074i | ||||
\(941\) | 1.11378 | + | 23.3811i | 0.0363082 | + | 0.762202i | 0.941462 | + | 0.337118i | \(0.109452\pi\) |
−0.905154 | + | 0.425084i | \(0.860245\pi\) | |||||||
\(942\) | 26.8546 | + | 47.1462i | 0.874971 | + | 1.53611i | ||||
\(943\) | −7.49305 | − | 3.64916i | −0.244007 | − | 0.118833i | ||||
\(944\) | − | 35.0231i | − | 1.13990i | ||||||
\(945\) | −14.2830 | − | 39.6435i | −0.464628 | − | 1.28960i | ||||
\(946\) | 15.2730 | − | 106.226i | 0.496570 | − | 3.45372i | ||||
\(947\) | −1.67252 | − | 17.5154i | −0.0543496 | − | 0.569175i | −0.981101 | − | 0.193498i | \(-0.938017\pi\) |
0.926751 | − | 0.375676i | \(-0.122590\pi\) | |||||||
\(948\) | −48.0710 | + | 49.8305i | −1.56127 | + | 1.61842i | ||||
\(949\) | −33.3130 | − | 3.18101i | −1.08139 | − | 0.103260i | ||||
\(950\) | 15.9175 | − | 45.9907i | 0.516433 | − | 1.49213i | ||||
\(951\) | −13.0634 | + | 32.0873i | −0.423610 | + | 1.04050i | ||||
\(952\) | −0.555918 | − | 18.4624i | −0.0180174 | − | 0.598369i | ||||
\(953\) | 6.25776 | − | 7.22185i | 0.202709 | − | 0.233939i | −0.645288 | − | 0.763939i | \(-0.723263\pi\) |
0.847997 | + | 0.530000i | \(0.177808\pi\) | |||||||
\(954\) | 29.9110 | + | 59.7188i | 0.968404 | + | 1.93347i | ||||
\(955\) | 3.30901 | − | 1.70591i | 0.107077 | − | 0.0552020i | ||||
\(956\) | 103.822 | − | 35.9331i | 3.35784 | − | 1.16216i | ||||
\(957\) | −4.69570 | + | 15.6539i | −0.151791 | + | 0.506018i | ||||
\(958\) | −85.7314 | + | 12.3263i | −2.76986 | + | 0.398245i | ||||
\(959\) | −24.0990 | − | 14.4816i | −0.778199 | − | 0.467636i | ||||
\(960\) | −36.1597 | − | 3.66569i | −1.16705 | − | 0.118310i | ||||
\(961\) | −13.5586 | − | 12.9281i | −0.437375 | − | 0.417036i | ||||
\(962\) | −55.7090 | − | 78.2324i | −1.79613 | − | 2.52231i | ||||
\(963\) | −0.126262 | + | 0.810930i | −0.00406874 | + | 0.0261319i | ||||
\(964\) | 30.0403 | − | 58.2701i | 0.967534 | − | 1.87675i | ||||
\(965\) | 44.1513 | 1.42128 | ||||||||
\(966\) | −41.0092 | + | 35.4968i | −1.31945 | + | 1.14209i | ||||
\(967\) | −12.0725 | −0.388225 | −0.194112 | − | 0.980979i | \(-0.562183\pi\) | ||||
−0.194112 | + | 0.980979i | \(0.562183\pi\) | |||||||
\(968\) | 23.6067 | − | 45.7906i | 0.758748 | − | 1.47177i | ||||
\(969\) | −3.85150 | − | 9.78556i | −0.123728 | − | 0.314358i | ||||
\(970\) | 9.79724 | + | 13.7583i | 0.314570 | + | 0.441752i | ||||
\(971\) | 7.78992 | + | 7.42767i | 0.249990 | + | 0.238365i | 0.804704 | − | 0.593676i | \(-0.202324\pi\) |
−0.554714 | + | 0.832041i | \(0.687172\pi\) | |||||||
\(972\) | 38.4865 | − | 50.8425i | 1.23445 | − | 1.63077i | ||||
\(973\) | −0.167771 | + | 9.58699i | −0.00537851 | + | 0.307345i | ||||
\(974\) | −59.2450 | + | 8.51815i | −1.89833 | + | 0.272939i | ||||
\(975\) | 32.1397 | + | 9.64095i | 1.02929 | + | 0.308758i | ||||
\(976\) | 35.4457 | − | 12.2679i | 1.13459 | − | 0.392685i | ||||
\(977\) | 15.5315 | − | 8.00704i | 0.496896 | − | 0.256168i | −0.191513 | − | 0.981490i | \(-0.561340\pi\) |
0.688410 | + | 0.725322i | \(0.258309\pi\) | |||||||
\(978\) | 36.7613 | − | 56.4749i | 1.17550 | − | 1.80587i | ||||
\(979\) | 11.5948 | − | 13.3811i | 0.370572 | − | 0.427663i | ||||
\(980\) | 15.5225 | − | 86.3833i | 0.495848 | − | 2.75941i | ||||
\(981\) | −31.1026 | − | 40.5137i | −0.993031 | − | 1.29350i | ||||
\(982\) | 18.0171 | − | 52.0571i | 0.574950 | − | 1.66121i | ||||
\(983\) | −22.3584 | − | 2.13497i | −0.713124 | − | 0.0680951i | −0.267813 | − | 0.963471i | \(-0.586301\pi\) |
−0.445311 | + | 0.895376i | \(0.646907\pi\) | |||||||
\(984\) | 11.1771 | + | 10.7824i | 0.356312 | + | 0.343731i | ||||
\(985\) | −0.592371 | − | 6.20359i | −0.0188745 | − | 0.197663i | ||||
\(986\) | 0.978874 | − | 6.80822i | 0.0311737 | − | 0.216818i | ||||
\(987\) | 0.837158 | + | 0.690552i | 0.0266470 | + | 0.0219805i | ||||
\(988\) | 80.9126i | 2.57417i | ||||||||
\(989\) | 35.1345 | − | 28.9505i | 1.11721 | − | 0.920572i | ||||
\(990\) | −1.21216 | + | 103.949i | −0.0385249 | + | 3.30371i | ||||
\(991\) | −1.51449 | − | 31.7930i | −0.0481092 | − | 1.00994i | −0.885880 | − | 0.463915i | \(-0.846444\pi\) |
0.837771 | − | 0.546022i | \(-0.183859\pi\) | |||||||
\(992\) | −1.19085 | − | 2.97461i | −0.0378096 | − | 0.0944439i | ||||
\(993\) | −2.55791 | − | 3.63677i | −0.0811728 | − | 0.115409i | ||||
\(994\) | 7.75429 | + | 99.5948i | 0.245951 | + | 3.15895i | ||||
\(995\) | 10.8784 | − | 4.96800i | 0.344869 | − | 0.157496i | ||||
\(996\) | −11.1668 | − | 13.0400i | −0.353834 | − | 0.413189i | ||||
\(997\) | −4.73723 | − | 1.89650i | −0.150030 | − | 0.0600628i | 0.295432 | − | 0.955364i | \(-0.404536\pi\) |
−0.445462 | + | 0.895301i | \(0.646961\pi\) | |||||||
\(998\) | −11.6882 | − | 12.2582i | −0.369984 | − | 0.388028i | ||||
\(999\) | −9.46787 | + | 44.8846i | −0.299550 | + | 1.42009i |
(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 | 483.2.bc.a.11.5 | ✓ | 1200 | |
3.2 | odd | 2 | inner | 483.2.bc.a.11.56 | yes | 1200 | |
7.2 | even | 3 | inner | 483.2.bc.a.149.56 | yes | 1200 | |
21.2 | odd | 6 | inner | 483.2.bc.a.149.5 | yes | 1200 | |
23.21 | odd | 22 | inner | 483.2.bc.a.389.5 | yes | 1200 | |
69.44 | even | 22 | inner | 483.2.bc.a.389.56 | yes | 1200 | |
161.44 | odd | 66 | inner | 483.2.bc.a.44.56 | yes | 1200 | |
483.44 | even | 66 | inner | 483.2.bc.a.44.5 | yes | 1200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bc.a.11.5 | ✓ | 1200 | 1.1 | even | 1 | trivial | |
483.2.bc.a.11.56 | yes | 1200 | 3.2 | odd | 2 | inner | |
483.2.bc.a.44.5 | yes | 1200 | 483.44 | even | 66 | inner | |
483.2.bc.a.44.56 | yes | 1200 | 161.44 | odd | 66 | inner | |
483.2.bc.a.149.5 | yes | 1200 | 21.2 | odd | 6 | inner | |
483.2.bc.a.149.56 | yes | 1200 | 7.2 | even | 3 | inner | |
483.2.bc.a.389.5 | yes | 1200 | 23.21 | odd | 22 | inner | |
483.2.bc.a.389.56 | yes | 1200 | 69.44 | even | 22 | inner |