Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,3,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.790192766645\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 26.2 | ||
Character | \(\chi\) | \(=\) | 29.26 |
Dual form | 29.3.f.a.19.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{19}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.448531 | + | 0.713833i | −0.224266 | + | 0.356917i | −0.939837 | − | 0.341623i | \(-0.889023\pi\) |
0.715572 | + | 0.698539i | \(0.246166\pi\) | |||||||
\(3\) | 0.187106 | + | 0.534719i | 0.0623688 | + | 0.178240i | 0.970851 | − | 0.239684i | \(-0.0770437\pi\) |
−0.908482 | + | 0.417923i | \(0.862758\pi\) | |||||||
\(4\) | 1.42716 | + | 2.96352i | 0.356789 | + | 0.740881i | ||||
\(5\) | 4.21883 | − | 0.962920i | 0.843766 | − | 0.192584i | 0.221275 | − | 0.975211i | \(-0.428978\pi\) |
0.622490 | + | 0.782627i | \(0.286121\pi\) | |||||||
\(6\) | −0.465623 | − | 0.106276i | −0.0776039 | − | 0.0177126i | ||||
\(7\) | −10.1429 | − | 4.88457i | −1.44899 | − | 0.697795i | −0.466568 | − | 0.884485i | \(-0.654510\pi\) |
−0.982419 | + | 0.186690i | \(0.940224\pi\) | |||||||
\(8\) | −6.10659 | − | 0.688048i | −0.763324 | − | 0.0860060i | ||||
\(9\) | 6.78557 | − | 5.41131i | 0.753952 | − | 0.601257i | ||||
\(10\) | −1.20491 | + | 3.44344i | −0.120491 | + | 0.344344i | ||||
\(11\) | 1.54207 | − | 0.173749i | 0.140188 | − | 0.0157954i | −0.0415917 | − | 0.999135i | \(-0.513243\pi\) |
0.181780 | + | 0.983339i | \(0.441814\pi\) | |||||||
\(12\) | −1.31762 | + | 1.31762i | −0.109802 | + | 0.109802i | ||||
\(13\) | −11.3208 | − | 9.02803i | −0.870830 | − | 0.694464i | 0.0824361 | − | 0.996596i | \(-0.473730\pi\) |
−0.953266 | + | 0.302133i | \(0.902301\pi\) | |||||||
\(14\) | 8.03618 | − | 5.04946i | 0.574013 | − | 0.360676i | ||||
\(15\) | 1.30426 | + | 2.07572i | 0.0869508 | + | 0.138381i | ||||
\(16\) | −4.97314 | + | 6.23612i | −0.310821 | + | 0.389757i | ||||
\(17\) | 16.8448 | + | 16.8448i | 0.990872 | + | 0.990872i | 0.999959 | − | 0.00908711i | \(-0.00289256\pi\) |
−0.00908711 | + | 0.999959i | \(0.502893\pi\) | |||||||
\(18\) | 0.819234 | + | 7.27090i | 0.0455130 | + | 0.403939i | ||||
\(19\) | 0.448791 | + | 0.157039i | 0.0236206 | + | 0.00826520i | 0.342064 | − | 0.939677i | \(-0.388874\pi\) |
−0.318443 | + | 0.947942i | \(0.603160\pi\) | |||||||
\(20\) | 8.87457 | + | 11.1284i | 0.443728 | + | 0.556418i | ||||
\(21\) | 0.714070 | − | 6.33754i | 0.0340033 | − | 0.301788i | ||||
\(22\) | −0.567637 | + | 1.17871i | −0.0258017 | + | 0.0535777i | ||||
\(23\) | 1.55197 | − | 6.79962i | 0.0674769 | − | 0.295636i | −0.929918 | − | 0.367766i | \(-0.880123\pi\) |
0.997395 | + | 0.0721306i | \(0.0229798\pi\) | |||||||
\(24\) | −0.774670 | − | 3.39405i | −0.0322779 | − | 0.141419i | ||||
\(25\) | −5.65292 | + | 2.72230i | −0.226117 | + | 0.108892i | ||||
\(26\) | 11.5222 | − | 4.03180i | 0.443163 | − | 0.155069i | ||||
\(27\) | 8.48025 | + | 5.32850i | 0.314083 | + | 0.197352i | ||||
\(28\) | − | 37.0298i | − | 1.32249i | ||||||
\(29\) | −20.2766 | + | 20.7330i | −0.699195 | + | 0.714931i | ||||
\(30\) | −2.06672 | −0.0688907 | ||||||||
\(31\) | −7.88671 | + | 12.5516i | −0.254410 | + | 0.404891i | −0.949371 | − | 0.314156i | \(-0.898279\pi\) |
0.694962 | + | 0.719047i | \(0.255421\pi\) | |||||||
\(32\) | −10.3395 | − | 29.5486i | −0.323110 | − | 0.923394i | ||||
\(33\) | 0.381437 | + | 0.792063i | 0.0115587 | + | 0.0240019i | ||||
\(34\) | −19.5798 | + | 4.46896i | −0.575877 | + | 0.131440i | ||||
\(35\) | −47.4946 | − | 10.8403i | −1.35699 | − | 0.309724i | ||||
\(36\) | 25.7206 | + | 12.3864i | 0.714461 | + | 0.344066i | ||||
\(37\) | 26.2932 | + | 2.96253i | 0.710627 | + | 0.0800685i | 0.459876 | − | 0.887983i | \(-0.347894\pi\) |
0.250751 | + | 0.968052i | \(0.419322\pi\) | |||||||
\(38\) | −0.313396 | + | 0.249925i | −0.00824727 | + | 0.00657698i | ||||
\(39\) | 2.70927 | − | 7.74264i | 0.0694684 | − | 0.198529i | ||||
\(40\) | −26.4252 | + | 2.97741i | −0.660630 | + | 0.0744351i | ||||
\(41\) | 46.1225 | − | 46.1225i | 1.12494 | − | 1.12494i | 0.133950 | − | 0.990988i | \(-0.457234\pi\) |
0.990988 | − | 0.133950i | \(-0.0427662\pi\) | |||||||
\(42\) | 4.20367 | + | 3.35231i | 0.100087 | + | 0.0798169i | ||||
\(43\) | −53.7324 | + | 33.7623i | −1.24959 | + | 0.785170i | −0.983871 | − | 0.178880i | \(-0.942753\pi\) |
−0.265721 | + | 0.964050i | \(0.585610\pi\) | |||||||
\(44\) | 2.71568 | + | 4.32198i | 0.0617200 | + | 0.0982268i | ||||
\(45\) | 23.4165 | − | 29.3633i | 0.520366 | − | 0.652519i | ||||
\(46\) | 4.15769 | + | 4.15769i | 0.0903845 | + | 0.0903845i | ||||
\(47\) | 5.72285 | + | 50.7917i | 0.121763 | + | 1.08067i | 0.894848 | + | 0.446372i | \(0.147284\pi\) |
−0.773085 | + | 0.634302i | \(0.781287\pi\) | |||||||
\(48\) | −4.26508 | − | 1.49242i | −0.0888558 | − | 0.0310920i | ||||
\(49\) | 48.4686 | + | 60.7777i | 0.989155 | + | 1.24036i | ||||
\(50\) | 0.592241 | − | 5.25628i | 0.0118448 | − | 0.105126i | ||||
\(51\) | −5.85548 | + | 12.1590i | −0.114813 | + | 0.238412i | ||||
\(52\) | 10.5982 | − | 46.4338i | 0.203812 | − | 0.892958i | ||||
\(53\) | −9.09960 | − | 39.8680i | −0.171691 | − | 0.752226i | −0.985303 | − | 0.170818i | \(-0.945359\pi\) |
0.813612 | − | 0.581408i | \(-0.197498\pi\) | |||||||
\(54\) | −7.60732 | + | 3.66349i | −0.140876 | + | 0.0678424i | ||||
\(55\) | 6.33841 | − | 2.21790i | 0.115244 | − | 0.0403255i | ||||
\(56\) | 58.5778 | + | 36.8069i | 1.04603 | + | 0.657265i | ||||
\(57\) | 0.269360i | 0.00472562i | ||||||||
\(58\) | −5.70521 | − | 23.7735i | −0.0983656 | − | 0.409889i | ||||
\(59\) | 23.8690 | 0.404559 | 0.202280 | − | 0.979328i | \(-0.435165\pi\) | ||||
0.202280 | + | 0.979328i | \(0.435165\pi\) | |||||||
\(60\) | −4.29006 | + | 6.82759i | −0.0715010 | + | 0.113793i | ||||
\(61\) | 23.8851 | + | 68.2596i | 0.391559 | + | 1.11901i | 0.955957 | + | 0.293507i | \(0.0948225\pi\) |
−0.564398 | + | 0.825503i | \(0.690892\pi\) | |||||||
\(62\) | −5.42233 | − | 11.2596i | −0.0874569 | − | 0.181606i | ||||
\(63\) | −95.2573 | + | 21.7419i | −1.51202 | + | 0.345109i | ||||
\(64\) | −5.37487 | − | 1.22678i | −0.0839824 | − | 0.0191684i | ||||
\(65\) | −56.4537 | − | 27.1867i | −0.868519 | − | 0.418257i | ||||
\(66\) | −0.736487 | − | 0.0829822i | −0.0111589 | − | 0.00125731i | ||||
\(67\) | 89.8491 | − | 71.6523i | 1.34103 | − | 1.06944i | 0.349866 | − | 0.936800i | \(-0.386227\pi\) |
0.991165 | − | 0.132637i | \(-0.0423445\pi\) | |||||||
\(68\) | −25.8798 | + | 73.9602i | −0.380585 | + | 1.08765i | ||||
\(69\) | 3.92627 | − | 0.442385i | 0.0569025 | − | 0.00641137i | ||||
\(70\) | 29.0410 | − | 29.0410i | 0.414872 | − | 0.414872i | ||||
\(71\) | −54.7070 | − | 43.6274i | −0.770521 | − | 0.614470i | 0.157276 | − | 0.987555i | \(-0.449729\pi\) |
−0.927797 | + | 0.373085i | \(0.878300\pi\) | |||||||
\(72\) | −45.1599 | + | 28.3759i | −0.627221 | + | 0.394109i | ||||
\(73\) | −43.5770 | − | 69.3524i | −0.596945 | − | 0.950032i | −0.999401 | − | 0.0345932i | \(-0.988986\pi\) |
0.402457 | − | 0.915439i | \(-0.368156\pi\) | |||||||
\(74\) | −13.9081 | + | 17.4402i | −0.187947 | + | 0.235678i | ||||
\(75\) | −2.51337 | − | 2.51337i | −0.0335116 | − | 0.0335116i | ||||
\(76\) | 0.175107 | + | 1.55412i | 0.00230405 | + | 0.0204490i | ||||
\(77\) | −16.4897 | − | 5.77000i | −0.214152 | − | 0.0749351i | ||||
\(78\) | 4.31177 | + | 5.40678i | 0.0552790 | + | 0.0693177i | ||||
\(79\) | 12.9255 | − | 114.717i | 0.163613 | − | 1.45211i | −0.596653 | − | 0.802499i | \(-0.703503\pi\) |
0.760267 | − | 0.649611i | \(-0.225068\pi\) | |||||||
\(80\) | −14.9759 | + | 31.0978i | −0.187199 | + | 0.388723i | ||||
\(81\) | 16.1189 | − | 70.6216i | 0.198999 | − | 0.871872i | ||||
\(82\) | 12.2364 | + | 53.6111i | 0.149224 | + | 0.653794i | ||||
\(83\) | −1.11626 | + | 0.537563i | −0.0134489 | + | 0.00647666i | −0.440596 | − | 0.897705i | \(-0.645233\pi\) |
0.427147 | + | 0.904182i | \(0.359519\pi\) | |||||||
\(84\) | 19.8005 | − | 6.92851i | 0.235721 | − | 0.0824823i | ||||
\(85\) | 87.2856 | + | 54.8452i | 1.02689 | + | 0.645237i | ||||
\(86\) | − | 53.4995i | − | 0.622087i | ||||||
\(87\) | −14.8802 | − | 6.96303i | −0.171037 | − | 0.0800349i | ||||
\(88\) | −9.53632 | −0.108367 | ||||||||
\(89\) | −35.1684 | + | 55.9701i | −0.395150 | + | 0.628878i | −0.983749 | − | 0.179547i | \(-0.942537\pi\) |
0.588599 | + | 0.808425i | \(0.299680\pi\) | |||||||
\(90\) | 10.4575 | + | 29.8858i | 0.116195 | + | 0.332065i | ||||
\(91\) | 70.7277 | + | 146.868i | 0.777227 | + | 1.61393i | ||||
\(92\) | 22.3657 | − | 5.10483i | 0.243106 | − | 0.0554873i | ||||
\(93\) | −8.18725 | − | 1.86869i | −0.0880349 | − | 0.0200934i | ||||
\(94\) | −38.8237 | − | 18.6965i | −0.413018 | − | 0.198899i | ||||
\(95\) | 2.04459 | + | 0.230370i | 0.0215220 | + | 0.00242495i | ||||
\(96\) | 13.8656 | − | 11.0575i | 0.144434 | − | 0.115182i | ||||
\(97\) | −26.0062 | + | 74.3215i | −0.268105 | + | 0.766201i | 0.728588 | + | 0.684952i | \(0.240177\pi\) |
−0.996694 | + | 0.0812495i | \(0.974109\pi\) | |||||||
\(98\) | −65.1248 | + | 7.33780i | −0.664539 | + | 0.0748755i | ||||
\(99\) | 9.52358 | − | 9.52358i | 0.0961978 | − | 0.0961978i | ||||
\(100\) | −16.1352 | − | 12.8674i | −0.161352 | − | 0.128674i | ||||
\(101\) | 71.2798 | − | 44.7881i | 0.705741 | − | 0.443446i | −0.130759 | − | 0.991414i | \(-0.541741\pi\) |
0.836499 | + | 0.547968i | \(0.184598\pi\) | |||||||
\(102\) | −6.05315 | − | 9.63353i | −0.0593446 | − | 0.0944464i | ||||
\(103\) | 30.3804 | − | 38.0958i | 0.294955 | − | 0.369862i | −0.612168 | − | 0.790728i | \(-0.709702\pi\) |
0.907123 | + | 0.420866i | \(0.138274\pi\) | |||||||
\(104\) | 62.9197 | + | 62.9197i | 0.604997 | + | 0.604997i | ||||
\(105\) | −3.09001 | − | 27.4246i | −0.0294287 | − | 0.261187i | ||||
\(106\) | 32.5405 | + | 11.3864i | 0.306986 | + | 0.107419i | ||||
\(107\) | 83.6309 | + | 104.870i | 0.781597 | + | 0.980092i | 0.999991 | + | 0.00423133i | \(0.00134688\pi\) |
−0.218394 | + | 0.975861i | \(0.570082\pi\) | |||||||
\(108\) | −3.68846 | + | 32.7360i | −0.0341525 | + | 0.303111i | ||||
\(109\) | 8.81881 | − | 18.3125i | 0.0809066 | − | 0.168004i | −0.856591 | − | 0.515996i | \(-0.827422\pi\) |
0.937498 | + | 0.347992i | \(0.113136\pi\) | |||||||
\(110\) | −1.25976 | + | 5.51936i | −0.0114524 | + | 0.0501760i | ||||
\(111\) | 3.33550 | + | 14.6138i | 0.0300496 | + | 0.131656i | ||||
\(112\) | 80.9028 | − | 38.9607i | 0.722347 | − | 0.347864i | ||||
\(113\) | 22.6341 | − | 7.92002i | 0.200302 | − | 0.0700886i | −0.228264 | − | 0.973599i | \(-0.573305\pi\) |
0.428566 | + | 0.903511i | \(0.359019\pi\) | |||||||
\(114\) | −0.192278 | − | 0.120816i | −0.00168665 | − | 0.00105979i | ||||
\(115\) | − | 30.1808i | − | 0.262442i | ||||||
\(116\) | −90.3807 | − | 30.5010i | −0.779144 | − | 0.262940i | ||||
\(117\) | −125.671 | −1.07411 | ||||||||
\(118\) | −10.7060 | + | 17.0385i | −0.0907287 | + | 0.144394i | ||||
\(119\) | −88.5758 | − | 253.135i | −0.744334 | − | 2.12719i | ||||
\(120\) | −6.53640 | − | 13.5730i | −0.0544700 | − | 0.113108i | ||||
\(121\) | −115.618 | + | 26.3892i | −0.955525 | + | 0.218092i | ||||
\(122\) | −59.4392 | − | 13.5666i | −0.487206 | − | 0.111202i | ||||
\(123\) | 33.2924 | + | 16.0328i | 0.270670 | + | 0.130348i | ||||
\(124\) | −48.4526 | − | 5.45930i | −0.390747 | − | 0.0440266i | ||||
\(125\) | −105.808 | + | 84.3793i | −0.846466 | + | 0.675034i | ||||
\(126\) | 27.2058 | − | 77.7497i | 0.215919 | − | 0.617061i | ||||
\(127\) | −8.21611 | + | 0.925733i | −0.0646938 | + | 0.00728924i | −0.144252 | − | 0.989541i | \(-0.546078\pi\) |
0.0795583 | + | 0.996830i | \(0.474649\pi\) | |||||||
\(128\) | 91.8315 | − | 91.8315i | 0.717433 | − | 0.717433i | ||||
\(129\) | −28.1071 | − | 22.4146i | −0.217884 | − | 0.173757i | ||||
\(130\) | 44.7280 | − | 28.1045i | 0.344062 | − | 0.216188i | ||||
\(131\) | 127.911 | + | 203.569i | 0.976419 | + | 1.55396i | 0.824725 | + | 0.565534i | \(0.191330\pi\) |
0.151694 | + | 0.988428i | \(0.451527\pi\) | |||||||
\(132\) | −1.80293 | + | 2.26080i | −0.0136585 | + | 0.0171273i | ||||
\(133\) | −3.78498 | − | 3.78498i | −0.0284585 | − | 0.0284585i | ||||
\(134\) | 10.8476 | + | 96.2755i | 0.0809526 | + | 0.718474i | ||||
\(135\) | 40.9077 | + | 14.3142i | 0.303020 | + | 0.106031i | ||||
\(136\) | −91.2744 | − | 114.454i | −0.671135 | − | 0.841577i | ||||
\(137\) | 4.55051 | − | 40.3869i | 0.0332154 | − | 0.294795i | −0.966112 | − | 0.258123i | \(-0.916896\pi\) |
0.999327 | − | 0.0366716i | \(-0.0116756\pi\) | |||||||
\(138\) | −1.44527 | + | 3.00113i | −0.0104729 | + | 0.0217473i | ||||
\(139\) | −12.4270 | + | 54.4464i | −0.0894032 | + | 0.391701i | −0.999755 | − | 0.0221342i | \(-0.992954\pi\) |
0.910352 | + | 0.413835i | \(0.135811\pi\) | |||||||
\(140\) | −35.6567 | − | 156.222i | −0.254691 | − | 1.11587i | ||||
\(141\) | −26.0885 | + | 12.5636i | −0.185025 | + | 0.0891033i | ||||
\(142\) | 55.6805 | − | 19.4834i | 0.392116 | − | 0.137207i | ||||
\(143\) | −19.0260 | − | 11.9548i | −0.133049 | − | 0.0836003i | ||||
\(144\) | 69.2268i | 0.480742i | ||||||||
\(145\) | −65.5794 | + | 106.994i | −0.452272 | + | 0.737888i | ||||
\(146\) | 69.0516 | 0.472956 | ||||||||
\(147\) | −23.4302 | + | 37.2890i | −0.159389 | + | 0.253667i | ||||
\(148\) | 28.7450 | + | 82.1485i | 0.194223 | + | 0.555058i | ||||
\(149\) | −45.3207 | − | 94.1095i | −0.304166 | − | 0.631607i | 0.691726 | − | 0.722161i | \(-0.256851\pi\) |
−0.995892 | + | 0.0905531i | \(0.971137\pi\) | |||||||
\(150\) | 2.92145 | − | 0.666802i | 0.0194763 | − | 0.00444534i | ||||
\(151\) | 40.2640 | + | 9.18999i | 0.266649 | + | 0.0608609i | 0.353755 | − | 0.935338i | \(-0.384905\pi\) |
−0.0871059 | + | 0.996199i | \(0.527762\pi\) | |||||||
\(152\) | −2.63253 | − | 1.26776i | −0.0173193 | − | 0.00834054i | ||||
\(153\) | 205.454 | + | 23.1491i | 1.34284 | + | 0.151301i | ||||
\(154\) | 11.5150 | − | 9.18289i | 0.0747726 | − | 0.0596291i | ||||
\(155\) | −21.1865 | + | 60.5474i | −0.136687 | + | 0.390628i | ||||
\(156\) | 26.8121 | − | 3.02099i | 0.171872 | − | 0.0193653i | ||||
\(157\) | −57.9484 | + | 57.9484i | −0.369098 | + | 0.369098i | −0.867148 | − | 0.498050i | \(-0.834050\pi\) |
0.498050 | + | 0.867148i | \(0.334050\pi\) | |||||||
\(158\) | 76.0911 | + | 60.6806i | 0.481589 | + | 0.384055i | ||||
\(159\) | 19.6156 | − | 12.3253i | 0.123368 | − | 0.0775175i | ||||
\(160\) | −72.0736 | − | 114.704i | −0.450460 | − | 0.716903i | ||||
\(161\) | −48.9547 | + | 61.3872i | −0.304066 | + | 0.381287i | ||||
\(162\) | 43.1822 | + | 43.1822i | 0.266557 | + | 0.266557i | ||||
\(163\) | 0.128402 | + | 1.13960i | 0.000787743 | + | 0.00699141i | 0.994100 | − | 0.108468i | \(-0.0345945\pi\) |
−0.993312 | + | 0.115459i | \(0.963166\pi\) | |||||||
\(164\) | 202.509 | + | 70.8610i | 1.23481 | + | 0.432079i | ||||
\(165\) | 2.37191 | + | 2.97428i | 0.0143752 | + | 0.0180260i | ||||
\(166\) | 0.116947 | − | 1.03794i | 0.000704503 | − | 0.00625264i | ||||
\(167\) | 84.8706 | − | 176.236i | 0.508207 | − | 1.05530i | −0.476190 | − | 0.879342i | \(-0.657983\pi\) |
0.984397 | − | 0.175960i | \(-0.0563031\pi\) | |||||||
\(168\) | −8.72106 | + | 38.2095i | −0.0519111 | + | 0.227437i | ||||
\(169\) | 9.04891 | + | 39.6459i | 0.0535439 | + | 0.234591i | ||||
\(170\) | −78.3006 | + | 37.7076i | −0.460592 | + | 0.221809i | ||||
\(171\) | 3.89509 | − | 1.36295i | 0.0227783 | − | 0.00797047i | ||||
\(172\) | −176.740 | − | 111.053i | −1.02756 | − | 0.645658i | ||||
\(173\) | 93.9168i | 0.542872i | 0.962457 | + | 0.271436i | \(0.0874985\pi\) | ||||
−0.962457 | + | 0.271436i | \(0.912502\pi\) | |||||||
\(174\) | 11.6447 | − | 7.49887i | 0.0669235 | − | 0.0430969i | ||||
\(175\) | 70.6344 | 0.403625 | ||||||||
\(176\) | −6.58539 | + | 10.4806i | −0.0374170 | + | 0.0595488i | ||||
\(177\) | 4.46604 | + | 12.7632i | 0.0252319 | + | 0.0721086i | ||||
\(178\) | −24.1792 | − | 50.2087i | −0.135838 | − | 0.282071i | ||||
\(179\) | 168.864 | − | 38.5422i | 0.943376 | − | 0.215319i | 0.276945 | − | 0.960886i | \(-0.410678\pi\) |
0.666431 | + | 0.745566i | \(0.267821\pi\) | |||||||
\(180\) | 120.438 | + | 27.4892i | 0.669100 | + | 0.152718i | ||||
\(181\) | −87.2784 | − | 42.0311i | −0.482201 | − | 0.232216i | 0.176959 | − | 0.984218i | \(-0.443374\pi\) |
−0.659160 | + | 0.752002i | \(0.729088\pi\) | |||||||
\(182\) | −136.563 | − | 15.3869i | −0.750344 | − | 0.0845434i | ||||
\(183\) | −32.0307 | + | 25.5436i | −0.175031 | + | 0.139583i | ||||
\(184\) | −14.1557 | + | 40.4547i | −0.0769332 | + | 0.219862i | ||||
\(185\) | 113.779 | − | 12.8198i | 0.615023 | − | 0.0692964i | ||||
\(186\) | 5.00617 | − | 5.00617i | 0.0269149 | − | 0.0269149i | ||||
\(187\) | 28.9026 | + | 23.0490i | 0.154559 | + | 0.123257i | ||||
\(188\) | −142.355 | + | 89.4475i | −0.757207 | + | 0.475785i | ||||
\(189\) | −59.9870 | − | 95.4688i | −0.317392 | − | 0.505126i | ||||
\(190\) | −1.08151 | + | 1.35617i | −0.00569214 | + | 0.00713772i | ||||
\(191\) | −253.146 | − | 253.146i | −1.32537 | − | 1.32537i | −0.909359 | − | 0.416013i | \(-0.863427\pi\) |
−0.416013 | − | 0.909359i | \(-0.636573\pi\) | |||||||
\(192\) | −0.349690 | − | 3.10359i | −0.00182130 | − | 0.0161645i | ||||
\(193\) | −281.027 | − | 98.3354i | −1.45610 | − | 0.509510i | −0.517848 | − | 0.855473i | \(-0.673267\pi\) |
−0.938248 | + | 0.345963i | \(0.887552\pi\) | |||||||
\(194\) | −41.3886 | − | 51.8996i | −0.213343 | − | 0.267524i | ||||
\(195\) | 3.97439 | − | 35.2737i | 0.0203815 | − | 0.180891i | ||||
\(196\) | −110.944 | + | 230.377i | −0.566040 | + | 1.17539i | ||||
\(197\) | −30.9336 | + | 135.529i | −0.157024 | + | 0.687965i | 0.833716 | + | 0.552193i | \(0.186209\pi\) |
−0.990740 | + | 0.135773i | \(0.956648\pi\) | |||||||
\(198\) | 2.52663 | + | 11.0699i | 0.0127607 | + | 0.0559084i | ||||
\(199\) | 10.4281 | − | 5.02191i | 0.0524025 | − | 0.0252357i | −0.407499 | − | 0.913206i | \(-0.633599\pi\) |
0.459901 | + | 0.887970i | \(0.347885\pi\) | |||||||
\(200\) | 36.3932 | − | 12.7345i | 0.181966 | − | 0.0636726i | ||||
\(201\) | 55.1252 | + | 34.6374i | 0.274255 | + | 0.172326i | ||||
\(202\) | 70.9707i | 0.351340i | ||||||||
\(203\) | 306.936 | − | 111.250i | 1.51200 | − | 0.548032i | ||||
\(204\) | −44.3902 | −0.217599 | ||||||||
\(205\) | 150.171 | − | 238.995i | 0.732539 | − | 1.16583i | ||||
\(206\) | 13.5675 | + | 38.7736i | 0.0658616 | + | 0.188222i | ||||
\(207\) | −26.2639 | − | 54.5375i | −0.126879 | − | 0.263466i | ||||
\(208\) | 112.600 | − | 25.7001i | 0.541344 | − | 0.123558i | ||||
\(209\) | 0.719351 | + | 0.164187i | 0.00344187 | + | 0.000785585i | ||||
\(210\) | 20.9626 | + | 10.0950i | 0.0998217 | + | 0.0480716i | ||||
\(211\) | −138.139 | − | 15.5646i | −0.654688 | − | 0.0737657i | −0.221629 | − | 0.975131i | \(-0.571137\pi\) |
−0.433059 | + | 0.901365i | \(0.642566\pi\) | |||||||
\(212\) | 105.163 | − | 83.8647i | 0.496052 | − | 0.395588i | ||||
\(213\) | 13.0924 | − | 37.4158i | 0.0614665 | − | 0.175661i | ||||
\(214\) | −112.371 | + | 12.6611i | −0.525096 | + | 0.0591642i | ||||
\(215\) | −194.178 | + | 194.178i | −0.903151 | + | 0.903151i | ||||
\(216\) | −48.1192 | − | 38.3738i | −0.222774 | − | 0.177656i | ||||
\(217\) | 141.303 | − | 88.7868i | 0.651168 | − | 0.409156i | ||||
\(218\) | 9.11653 | + | 14.5089i | 0.0418189 | + | 0.0665544i | ||||
\(219\) | 28.9305 | − | 36.2777i | 0.132103 | − | 0.165652i | ||||
\(220\) | 15.6187 | + | 15.6187i | 0.0709941 | + | 0.0709941i | ||||
\(221\) | −38.6211 | − | 342.772i | −0.174756 | − | 1.55100i | ||||
\(222\) | −11.9279 | − | 4.17375i | −0.0537292 | − | 0.0188007i | ||||
\(223\) | 71.7315 | + | 89.9485i | 0.321666 | + | 0.403356i | 0.916205 | − | 0.400711i | \(-0.131237\pi\) |
−0.594539 | + | 0.804067i | \(0.702665\pi\) | |||||||
\(224\) | −39.4595 | + | 350.213i | −0.176159 | + | 1.56345i | ||||
\(225\) | −23.6271 | + | 49.0621i | −0.105009 | + | 0.218054i | ||||
\(226\) | −4.49853 | + | 19.7094i | −0.0199050 | + | 0.0872095i | ||||
\(227\) | 50.8656 | + | 222.857i | 0.224077 | + | 0.981747i | 0.954373 | + | 0.298616i | \(0.0965251\pi\) |
−0.730296 | + | 0.683131i | \(0.760618\pi\) | |||||||
\(228\) | −0.798255 | + | 0.384420i | −0.00350112 | + | 0.00168605i | ||||
\(229\) | −195.058 | + | 68.2538i | −0.851782 | + | 0.298051i | −0.720638 | − | 0.693312i | \(-0.756151\pi\) |
−0.131144 | + | 0.991363i | \(0.541865\pi\) | |||||||
\(230\) | 21.5441 | + | 13.5370i | 0.0936700 | + | 0.0588567i | ||||
\(231\) | − | 9.89698i | − | 0.0428441i | ||||||
\(232\) | 138.086 | − | 112.657i | 0.595200 | − | 0.485589i | ||||
\(233\) | 186.225 | 0.799248 | 0.399624 | − | 0.916679i | \(-0.369141\pi\) | ||||
0.399624 | + | 0.916679i | \(0.369141\pi\) | |||||||
\(234\) | 56.3675 | − | 89.7084i | 0.240887 | − | 0.383369i | ||||
\(235\) | 73.0520 | + | 208.771i | 0.310860 | + | 0.888386i | ||||
\(236\) | 34.0648 | + | 70.7363i | 0.144342 | + | 0.299730i | ||||
\(237\) | 63.7597 | − | 14.5527i | 0.269028 | − | 0.0614039i | ||||
\(238\) | 220.425 | + | 50.3106i | 0.926156 | + | 0.211389i | ||||
\(239\) | 144.790 | + | 69.7270i | 0.605814 | + | 0.291745i | 0.711534 | − | 0.702651i | \(-0.248001\pi\) |
−0.105720 | + | 0.994396i | \(0.533715\pi\) | |||||||
\(240\) | −19.4307 | − | 2.18932i | −0.0809613 | − | 0.00912215i | ||||
\(241\) | −152.244 | + | 121.410i | −0.631717 | + | 0.503777i | −0.886202 | − | 0.463300i | \(-0.846665\pi\) |
0.254485 | + | 0.967077i | \(0.418094\pi\) | |||||||
\(242\) | 33.0210 | − | 94.3687i | 0.136451 | − | 0.389953i | ||||
\(243\) | 130.350 | − | 14.6869i | 0.536421 | − | 0.0604401i | ||||
\(244\) | −168.201 | + | 168.201i | −0.689349 | + | 0.689349i | ||||
\(245\) | 263.005 | + | 209.739i | 1.07349 | + | 0.856079i | ||||
\(246\) | −26.3774 | + | 16.5740i | −0.107225 | + | 0.0673740i | ||||
\(247\) | −3.66292 | − | 5.82950i | −0.0148296 | − | 0.0236012i | ||||
\(248\) | 56.7970 | − | 71.2212i | 0.229020 | − | 0.287182i | ||||
\(249\) | −0.496305 | − | 0.496305i | −0.00199319 | − | 0.00199319i | ||||
\(250\) | −12.7744 | − | 113.376i | −0.0510977 | − | 0.453505i | ||||
\(251\) | −312.227 | − | 109.253i | −1.24393 | − | 0.435270i | −0.373532 | − | 0.927617i | \(-0.621853\pi\) |
−0.870399 | + | 0.492347i | \(0.836139\pi\) | |||||||
\(252\) | −200.380 | − | 251.268i | −0.795157 | − | 0.997096i | ||||
\(253\) | 1.21181 | − | 10.7551i | 0.00478976 | − | 0.0425103i | ||||
\(254\) | 3.02436 | − | 6.28015i | 0.0119069 | − | 0.0247250i | ||||
\(255\) | −12.9951 | + | 56.9352i | −0.0509611 | + | 0.223275i | ||||
\(256\) | 19.4560 | + | 85.2421i | 0.0759998 | + | 0.332977i | ||||
\(257\) | 156.282 | − | 75.2612i | 0.608099 | − | 0.292845i | −0.104381 | − | 0.994537i | \(-0.533286\pi\) |
0.712480 | + | 0.701692i | \(0.247572\pi\) | |||||||
\(258\) | 28.6072 | − | 10.0101i | 0.110881 | − | 0.0387988i | ||||
\(259\) | −252.219 | − | 158.480i | −0.973818 | − | 0.611891i | ||||
\(260\) | − | 206.102i | − | 0.792698i | ||||||
\(261\) | −25.3958 | + | 250.408i | −0.0973019 | + | 0.959419i | ||||
\(262\) | −202.686 | −0.773612 | ||||||||
\(263\) | −86.5688 | + | 137.774i | −0.329159 | + | 0.523854i | −0.969773 | − | 0.244010i | \(-0.921537\pi\) |
0.640614 | + | 0.767863i | \(0.278680\pi\) | |||||||
\(264\) | −1.78431 | − | 5.09925i | −0.00675873 | − | 0.0193154i | ||||
\(265\) | −76.7793 | − | 159.434i | −0.289733 | − | 0.601637i | ||||
\(266\) | 4.39953 | − | 1.00416i | 0.0165396 | − | 0.00377505i | ||||
\(267\) | −36.5085 | − | 8.33284i | −0.136736 | − | 0.0312091i | ||||
\(268\) | 340.572 | + | 164.011i | 1.27079 | + | 0.611980i | ||||
\(269\) | 29.2546 | + | 3.29620i | 0.108753 | + | 0.0122535i | 0.166173 | − | 0.986097i | \(-0.446859\pi\) |
−0.0574202 | + | 0.998350i | \(0.518287\pi\) | |||||||
\(270\) | −28.5663 | + | 22.7809i | −0.105801 | + | 0.0843736i | ||||
\(271\) | 168.083 | − | 480.355i | 0.620234 | − | 1.77253i | −0.0146174 | − | 0.999893i | \(-0.504653\pi\) |
0.634852 | − | 0.772634i | \(-0.281061\pi\) | |||||||
\(272\) | −188.818 | + | 21.2747i | −0.694183 | + | 0.0782157i | ||||
\(273\) | −65.2993 | + | 65.2993i | −0.239192 | + | 0.239192i | ||||
\(274\) | 26.7885 | + | 21.3631i | 0.0977682 | + | 0.0779675i | ||||
\(275\) | −8.24418 | + | 5.18016i | −0.0299789 | + | 0.0188370i | ||||
\(276\) | 6.91442 | + | 11.0042i | 0.0250523 | + | 0.0398704i | ||||
\(277\) | −130.918 | + | 164.166i | −0.472629 | + | 0.592657i | −0.959813 | − | 0.280642i | \(-0.909453\pi\) |
0.487184 | + | 0.873299i | \(0.338024\pi\) | |||||||
\(278\) | −33.2918 | − | 33.2918i | −0.119755 | − | 0.119755i | ||||
\(279\) | 14.4049 | + | 127.847i | 0.0516306 | + | 0.458234i | ||||
\(280\) | 282.572 | + | 98.8761i | 1.00918 | + | 0.353129i | ||||
\(281\) | −287.055 | − | 359.956i | −1.02155 | − | 1.28098i | −0.959140 | − | 0.282931i | \(-0.908693\pi\) |
−0.0624084 | − | 0.998051i | \(-0.519878\pi\) | |||||||
\(282\) | 2.73322 | − | 24.2580i | 0.00969227 | − | 0.0860213i | ||||
\(283\) | 194.833 | − | 404.574i | 0.688455 | − | 1.42959i | −0.204237 | − | 0.978922i | \(-0.565471\pi\) |
0.892691 | − | 0.450669i | \(-0.148815\pi\) | |||||||
\(284\) | 51.2152 | − | 224.389i | 0.180335 | − | 0.790101i | ||||
\(285\) | 0.259372 | + | 1.13638i | 0.000910079 | + | 0.00398732i | ||||
\(286\) | 17.0675 | − | 8.21928i | 0.0596766 | − | 0.0287388i | ||||
\(287\) | −693.104 | + | 242.528i | −2.41500 | + | 0.845044i | ||||
\(288\) | −230.056 | − | 144.554i | −0.798806 | − | 0.501923i | ||||
\(289\) | 278.496i | 0.963653i | ||||||||
\(290\) | −46.9613 | − | 94.8028i | −0.161936 | − | 0.326906i | ||||
\(291\) | −44.6071 | −0.153289 | ||||||||
\(292\) | 143.336 | − | 228.118i | 0.490877 | − | 0.781226i | ||||
\(293\) | 37.1090 | + | 106.051i | 0.126652 | + | 0.361950i | 0.989697 | − | 0.143176i | \(-0.0457316\pi\) |
−0.863045 | + | 0.505126i | \(0.831446\pi\) | |||||||
\(294\) | −16.1089 | − | 33.4505i | −0.0547923 | − | 0.113777i | ||||
\(295\) | 100.699 | − | 22.9839i | 0.341353 | − | 0.0779117i | ||||
\(296\) | −158.524 | − | 36.1820i | −0.535553 | − | 0.122236i | ||||
\(297\) | 14.0029 | + | 6.74346i | 0.0471479 | + | 0.0227052i | ||||
\(298\) | 87.5063 | + | 9.85959i | 0.293645 | + | 0.0330859i | ||||
\(299\) | −78.9566 | + | 62.9658i | −0.264069 | + | 0.210588i | ||||
\(300\) | 3.86145 | − | 11.0354i | 0.0128715 | − | 0.0367846i | ||||
\(301\) | 709.918 | − | 79.9885i | 2.35853 | − | 0.265743i | ||||
\(302\) | −24.6198 | + | 24.6198i | −0.0815224 | + | 0.0815224i | ||||
\(303\) | 37.2860 | + | 29.7346i | 0.123056 | + | 0.0981339i | ||||
\(304\) | −3.21121 | + | 2.01774i | −0.0105632 | + | 0.00663730i | ||||
\(305\) | 166.496 | + | 264.976i | 0.545887 | + | 0.868774i | ||||
\(306\) | −108.677 | + | 136.277i | −0.355154 | + | 0.445349i | ||||
\(307\) | 131.221 | + | 131.221i | 0.427429 | + | 0.427429i | 0.887752 | − | 0.460323i | \(-0.152266\pi\) |
−0.460323 | + | 0.887752i | \(0.652266\pi\) | |||||||
\(308\) | −6.43389 | − | 57.1024i | −0.0208893 | − | 0.185397i | ||||
\(309\) | 26.0549 | + | 9.11700i | 0.0843201 | + | 0.0295049i | ||||
\(310\) | −33.7180 | − | 42.2810i | −0.108768 | − | 0.136390i | ||||
\(311\) | −56.3391 | + | 500.023i | −0.181155 | + | 1.60779i | 0.493560 | + | 0.869712i | \(0.335695\pi\) |
−0.674714 | + | 0.738079i | \(0.735733\pi\) | |||||||
\(312\) | −21.8717 | + | 45.4171i | −0.0701016 | + | 0.145568i | ||||
\(313\) | −36.9386 | + | 161.838i | −0.118015 | + | 0.517056i | 0.881018 | + | 0.473082i | \(0.156859\pi\) |
−0.999033 | + | 0.0439731i | \(0.985998\pi\) | |||||||
\(314\) | −15.3738 | − | 67.3572i | −0.0489613 | − | 0.214513i | ||||
\(315\) | −380.938 | + | 183.450i | −1.20933 | + | 0.582382i | ||||
\(316\) | 358.412 | − | 125.414i | 1.13422 | − | 0.396879i | ||||
\(317\) | 16.0893 | + | 10.1096i | 0.0507550 | + | 0.0318915i | 0.557171 | − | 0.830398i | \(-0.311887\pi\) |
−0.506416 | + | 0.862290i | \(0.669030\pi\) | |||||||
\(318\) | 19.5305i | 0.0614167i | ||||||||
\(319\) | −27.6656 | + | 35.4947i | −0.0867260 | + | 0.111269i | ||||
\(320\) | −23.8570 | −0.0745530 | ||||||||
\(321\) | −40.4281 | + | 64.3409i | −0.125944 | + | 0.200439i | ||||
\(322\) | −21.8625 | − | 62.4795i | −0.0678961 | − | 0.194036i | ||||
\(323\) | 4.91451 | + | 10.2051i | 0.0152152 | + | 0.0315947i | ||||
\(324\) | 232.293 | − | 53.0194i | 0.716954 | − | 0.163640i | ||||
\(325\) | 88.5726 | + | 20.2161i | 0.272531 | + | 0.0622034i | ||||
\(326\) | −0.871077 | − | 0.419489i | −0.00267202 | − | 0.00128677i | ||||
\(327\) | 11.4421 | + | 1.28921i | 0.0349911 | + | 0.00394255i | ||||
\(328\) | −313.386 | + | 249.917i | −0.955444 | + | 0.761941i | ||||
\(329\) | 190.049 | − | 543.129i | 0.577657 | − | 1.65085i | ||||
\(330\) | −3.18702 | + | 0.359091i | −0.00965763 | + | 0.00108815i | ||||
\(331\) | −34.0680 | + | 34.0680i | −0.102924 | + | 0.102924i | −0.756694 | − | 0.653769i | \(-0.773187\pi\) |
0.653769 | + | 0.756694i | \(0.273187\pi\) | |||||||
\(332\) | −3.18616 | − | 2.54088i | −0.00959686 | − | 0.00765324i | ||||
\(333\) | 194.446 | − | 122.178i | 0.583921 | − | 0.366902i | ||||
\(334\) | 87.7357 | + | 139.631i | 0.262682 | + | 0.418056i | ||||
\(335\) | 310.062 | − | 388.806i | 0.925560 | − | 1.16062i | ||||
\(336\) | 35.9705 | + | 35.9705i | 0.107055 | + | 0.107055i | ||||
\(337\) | 24.9408 | + | 221.356i | 0.0740083 | + | 0.656841i | 0.974876 | + | 0.222748i | \(0.0715027\pi\) |
−0.900868 | + | 0.434093i | \(0.857069\pi\) | |||||||
\(338\) | −32.3593 | − | 11.3230i | −0.0957375 | − | 0.0335000i | ||||
\(339\) | 8.46997 | + | 10.6210i | 0.0249852 | + | 0.0313304i | ||||
\(340\) | −37.9646 | + | 336.946i | −0.111661 | + | 0.991016i | ||||
\(341\) | −9.98099 | + | 20.7257i | −0.0292698 | + | 0.0607793i | ||||
\(342\) | −0.774149 | + | 3.39177i | −0.00226359 | + | 0.00991745i | ||||
\(343\) | −71.9903 | − | 315.410i | −0.209884 | − | 0.919563i | ||||
\(344\) | 351.352 | − | 169.202i | 1.02137 | − | 0.491867i | ||||
\(345\) | 16.1383 | − | 5.64703i | 0.0467776 | − | 0.0163682i | ||||
\(346\) | −67.0409 | − | 42.1246i | −0.193760 | − | 0.121747i | ||||
\(347\) | 400.531i | 1.15427i | 0.816649 | + | 0.577134i | \(0.195829\pi\) | ||||
−0.816649 | + | 0.577134i | \(0.804171\pi\) | |||||||
\(348\) | −0.601320 | − | 54.0353i | −0.00172793 | − | 0.155274i | ||||
\(349\) | 191.095 | 0.547550 | 0.273775 | − | 0.961794i | \(-0.411728\pi\) | ||||
0.273775 | + | 0.961794i | \(0.411728\pi\) | |||||||
\(350\) | −31.6817 | + | 50.4212i | −0.0905192 | + | 0.144060i | ||||
\(351\) | −47.8973 | − | 136.883i | −0.136460 | − | 0.389979i | ||||
\(352\) | −21.0782 | − | 43.7694i | −0.0598814 | − | 0.124345i | ||||
\(353\) | 170.891 | − | 39.0048i | 0.484111 | − | 0.110495i | 0.0265018 | − | 0.999649i | \(-0.491563\pi\) |
0.457609 | + | 0.889154i | \(0.348706\pi\) | |||||||
\(354\) | −11.1140 | − | 2.53669i | −0.0313954 | − | 0.00716579i | ||||
\(355\) | −272.809 | − | 131.378i | −0.768476 | − | 0.370079i | ||||
\(356\) | −216.060 | − | 24.3441i | −0.606909 | − | 0.0683822i | ||||
\(357\) | 118.783 | − | 94.7264i | 0.332726 | − | 0.265340i | ||||
\(358\) | −48.2282 | + | 137.828i | −0.134716 | + | 0.384995i | ||||
\(359\) | −302.179 | + | 34.0473i | −0.841723 | + | 0.0948394i | −0.522288 | − | 0.852769i | \(-0.674922\pi\) |
−0.319435 | + | 0.947608i | \(0.603493\pi\) | |||||||
\(360\) | −163.198 | + | 163.198i | −0.453329 | + | 0.453329i | ||||
\(361\) | −282.064 | − | 224.939i | −0.781342 | − | 0.623099i | ||||
\(362\) | 69.1502 | − | 43.4500i | 0.191023 | − | 0.120028i | ||||
\(363\) | −35.7438 | − | 56.8859i | −0.0984677 | − | 0.156710i | ||||
\(364\) | −334.306 | + | 419.206i | −0.918423 | + | 1.15167i | ||||
\(365\) | −250.625 | − | 250.625i | −0.686643 | − | 0.686643i | ||||
\(366\) | −3.86712 | − | 34.3217i | −0.0105659 | − | 0.0937751i | ||||
\(367\) | 102.535 | + | 35.8787i | 0.279388 | + | 0.0977622i | 0.466336 | − | 0.884608i | \(-0.345574\pi\) |
−0.186948 | + | 0.982370i | \(0.559860\pi\) | |||||||
\(368\) | 34.6851 | + | 43.4937i | 0.0942529 | + | 0.118189i | ||||
\(369\) | 63.3842 | − | 562.550i | 0.171773 | − | 1.52453i | ||||
\(370\) | −41.8823 | + | 86.9695i | −0.113195 | + | 0.235053i | ||||
\(371\) | −102.441 | + | 448.825i | −0.276122 | + | 1.20977i | ||||
\(372\) | −6.14660 | − | 26.9300i | −0.0165231 | − | 0.0723925i | ||||
\(373\) | −391.003 | + | 188.297i | −1.04826 | + | 0.504818i | −0.877042 | − | 0.480414i | \(-0.840486\pi\) |
−0.171223 | + | 0.985232i | \(0.554772\pi\) | |||||||
\(374\) | −29.4169 | + | 10.2934i | −0.0786548 | + | 0.0275225i | ||||
\(375\) | −64.9167 | − | 40.7898i | −0.173111 | − | 0.108773i | ||||
\(376\) | − | 314.102i | − | 0.835377i | ||||||
\(377\) | 416.726 | − | 51.6559i | 1.10537 | − | 0.137018i | ||||
\(378\) | 95.0549 | 0.251468 | ||||||||
\(379\) | 146.333 | − | 232.888i | 0.386104 | − | 0.614481i | −0.595963 | − | 0.803012i | \(-0.703230\pi\) |
0.982067 | + | 0.188530i | \(0.0603724\pi\) | |||||||
\(380\) | 2.23524 | + | 6.38796i | 0.00588222 | + | 0.0168104i | ||||
\(381\) | −2.03229 | − | 4.22010i | −0.00533410 | − | 0.0110764i | ||||
\(382\) | 294.248 | − | 67.1601i | 0.770282 | − | 0.175812i | ||||
\(383\) | −213.072 | − | 48.6323i | −0.556323 | − | 0.126977i | −0.0648901 | − | 0.997892i | \(-0.520670\pi\) |
−0.491433 | + | 0.870915i | \(0.663527\pi\) | |||||||
\(384\) | 66.2863 | + | 31.9218i | 0.172621 | + | 0.0831297i | ||||
\(385\) | −75.1234 | − | 8.46437i | −0.195126 | − | 0.0219854i | ||||
\(386\) | 196.244 | − | 156.500i | 0.508405 | − | 0.405439i | ||||
\(387\) | −181.907 | + | 519.859i | −0.470043 | + | 1.34331i | ||||
\(388\) | −257.368 | + | 28.9985i | −0.663321 | + | 0.0747383i | ||||
\(389\) | 25.9695 | − | 25.9695i | 0.0667597 | − | 0.0667597i | −0.672939 | − | 0.739698i | \(-0.734968\pi\) |
0.739698 | + | 0.672939i | \(0.234968\pi\) | |||||||
\(390\) | 23.3969 | + | 18.6584i | 0.0599920 | + | 0.0478421i | ||||
\(391\) | 140.681 | − | 88.3957i | 0.359798 | − | 0.226076i | ||||
\(392\) | −254.160 | − | 404.493i | −0.648367 | − | 1.03187i | ||||
\(393\) | −84.9193 | + | 106.485i | −0.216080 | + | 0.270955i | ||||
\(394\) | −82.8705 | − | 82.8705i | −0.210331 | − | 0.210331i | ||||
\(395\) | −55.9327 | − | 496.416i | −0.141602 | − | 1.25675i | ||||
\(396\) | 41.8150 | + | 14.6317i | 0.105593 | + | 0.0369487i | ||||
\(397\) | 83.6502 | + | 104.894i | 0.210706 | + | 0.264217i | 0.875942 | − | 0.482416i | \(-0.160241\pi\) |
−0.665236 | + | 0.746633i | \(0.731669\pi\) | |||||||
\(398\) | −1.09252 | + | 9.69641i | −0.00274503 | + | 0.0243628i | ||||
\(399\) | 1.31571 | − | 2.73210i | 0.00329751 | − | 0.00684736i | ||||
\(400\) | 11.1362 | − | 48.7907i | 0.0278404 | − | 0.121977i | ||||
\(401\) | 105.732 | + | 463.241i | 0.263670 | + | 1.15521i | 0.917236 | + | 0.398345i | \(0.130415\pi\) |
−0.653566 | + | 0.756870i | \(0.726728\pi\) | |||||||
\(402\) | −49.4507 | + | 23.8142i | −0.123012 | + | 0.0592393i | ||||
\(403\) | 202.600 | − | 70.8928i | 0.502730 | − | 0.175913i | ||||
\(404\) | 234.458 | + | 147.320i | 0.580342 | + | 0.364653i | ||||
\(405\) | − | 313.462i | − | 0.773980i | ||||||
\(406\) | −58.2561 | + | 269.000i | −0.143488 | + | 0.662562i | ||||
\(407\) | 41.0606 | 0.100886 | ||||||||
\(408\) | 44.1230 | − | 70.2213i | 0.108145 | − | 0.172111i | ||||
\(409\) | 9.65215 | + | 27.5843i | 0.0235994 | + | 0.0674432i | 0.955080 | − | 0.296347i | \(-0.0957684\pi\) |
−0.931481 | + | 0.363790i | \(0.881483\pi\) | |||||||
\(410\) | 103.246 | + | 214.393i | 0.251821 | + | 0.522911i | ||||
\(411\) | 22.4471 | − | 5.12340i | 0.0546158 | − | 0.0124657i | ||||
\(412\) | 156.255 | + | 35.6642i | 0.379260 | + | 0.0865637i | ||||
\(413\) | −242.101 | − | 116.590i | −0.586201 | − | 0.282300i | ||||
\(414\) | 50.7108 | + | 5.71374i | 0.122490 | + | 0.0138013i | ||||
\(415\) | −4.19168 | + | 3.34275i | −0.0101004 | + | 0.00805483i | ||||
\(416\) | −149.714 | + | 427.859i | −0.359890 | + | 1.02851i | ||||
\(417\) | −31.4387 | + | 3.54230i | −0.0753927 | + | 0.00849471i | ||||
\(418\) | −0.439854 | + | 0.439854i | −0.00105228 | + | 0.00105228i | ||||
\(419\) | 173.110 | + | 138.050i | 0.413149 | + | 0.329476i | 0.807907 | − | 0.589309i | \(-0.200600\pi\) |
−0.394758 | + | 0.918785i | \(0.629172\pi\) | |||||||
\(420\) | 76.8635 | − | 48.2965i | 0.183008 | − | 0.114992i | ||||
\(421\) | 65.2084 | + | 103.779i | 0.154889 | + | 0.246505i | 0.915150 | − | 0.403113i | \(-0.132072\pi\) |
−0.760261 | + | 0.649618i | \(0.774929\pi\) | |||||||
\(422\) | 73.0702 | − | 91.6272i | 0.173152 | − | 0.217126i | ||||
\(423\) | 313.682 | + | 313.682i | 0.741566 | + | 0.741566i | ||||
\(424\) | 28.1365 | + | 249.718i | 0.0663597 | + | 0.588958i | ||||
\(425\) | −141.079 | − | 49.3657i | −0.331951 | − | 0.116155i | ||||
\(426\) | 20.8363 | + | 26.1279i | 0.0489116 | + | 0.0613332i | ||||
\(427\) | 91.1546 | − | 809.019i | 0.213477 | − | 1.89466i | ||||
\(428\) | −191.430 | + | 397.508i | −0.447266 | + | 0.928757i | ||||
\(429\) | 2.83259 | − | 12.4104i | 0.00660278 | − | 0.0289287i | ||||
\(430\) | −51.5157 | − | 225.705i | −0.119804 | − | 0.524895i | ||||
\(431\) | 178.177 | − | 85.8056i | 0.413404 | − | 0.199085i | −0.215609 | − | 0.976480i | \(-0.569174\pi\) |
0.629013 | + | 0.777395i | \(0.283459\pi\) | |||||||
\(432\) | −75.4026 | + | 26.3845i | −0.174543 | + | 0.0610753i | ||||
\(433\) | −148.885 | − | 93.5509i | −0.343846 | − | 0.216053i | 0.349026 | − | 0.937113i | \(-0.386512\pi\) |
−0.692873 | + | 0.721060i | \(0.743655\pi\) | |||||||
\(434\) | 140.691i | 0.324172i | ||||||||
\(435\) | −69.4820 | − | 15.0474i | −0.159729 | − | 0.0345917i | ||||
\(436\) | 66.8552 | 0.153338 | ||||||||
\(437\) | 1.76431 | − | 2.80789i | 0.00403733 | − | 0.00642538i | ||||
\(438\) | 12.9200 | + | 36.9232i | 0.0294977 | + | 0.0842996i | ||||
\(439\) | −97.1608 | − | 201.756i | −0.221323 | − | 0.459582i | 0.760511 | − | 0.649325i | \(-0.224949\pi\) |
−0.981834 | + | 0.189743i | \(0.939234\pi\) | |||||||
\(440\) | −40.2321 | + | 9.18271i | −0.0914366 | + | 0.0208698i | ||||
\(441\) | 657.774 | + | 150.133i | 1.49155 | + | 0.340437i | ||||
\(442\) | 262.005 | + | 126.175i | 0.592771 | + | 0.285463i | ||||
\(443\) | 172.978 | + | 19.4899i | 0.390470 | + | 0.0439954i | 0.305017 | − | 0.952347i | \(-0.401338\pi\) |
0.0854526 | + | 0.996342i | \(0.472766\pi\) | |||||||
\(444\) | −38.5480 | + | 30.7410i | −0.0868199 | + | 0.0692366i | ||||
\(445\) | −94.4746 | + | 269.993i | −0.212302 | + | 0.606725i | ||||
\(446\) | −96.3820 | + | 10.8596i | −0.216103 | + | 0.0243490i | ||||
\(447\) | 41.8424 | − | 41.8424i | 0.0936071 | − | 0.0936071i | ||||
\(448\) | 48.5246 | + | 38.6970i | 0.108314 | + | 0.0863773i | ||||
\(449\) | −378.601 | + | 237.891i | −0.843209 | + | 0.529823i | −0.882994 | − | 0.469385i | \(-0.844476\pi\) |
0.0397845 | + | 0.999208i | \(0.487333\pi\) | |||||||
\(450\) | −24.4247 | − | 38.8717i | −0.0542771 | − | 0.0863815i | ||||
\(451\) | 63.1102 | − | 79.1376i | 0.139934 | − | 0.175471i | ||||
\(452\) | 55.7736 | + | 55.7736i | 0.123393 | + | 0.123393i | ||||
\(453\) | 2.61958 | + | 23.2494i | 0.00578274 | + | 0.0513233i | ||||
\(454\) | −181.897 | − | 63.6486i | −0.400655 | − | 0.140195i | ||||
\(455\) | 439.810 | + | 551.504i | 0.966615 | + | 1.21210i | ||||
\(456\) | 0.185333 | − | 1.64487i | 0.000406431 | − | 0.00360718i | ||||
\(457\) | 21.1875 | − | 43.9964i | 0.0463622 | − | 0.0962722i | −0.876501 | − | 0.481400i | \(-0.840128\pi\) |
0.922863 | + | 0.385128i | \(0.125843\pi\) | |||||||
\(458\) | 38.7678 | − | 169.853i | 0.0846459 | − | 0.370858i | ||||
\(459\) | 53.0908 | + | 232.606i | 0.115666 | + | 0.506767i | ||||
\(460\) | 89.4416 | − | 43.0728i | 0.194438 | − | 0.0936366i | ||||
\(461\) | 536.238 | − | 187.638i | 1.16321 | − | 0.407023i | 0.321474 | − | 0.946918i | \(-0.395822\pi\) |
0.841732 | + | 0.539895i | \(0.181536\pi\) | |||||||
\(462\) | 7.06479 | + | 4.43910i | 0.0152918 | + | 0.00960845i | ||||
\(463\) | 50.1618i | 0.108341i | 0.998532 | + | 0.0541704i | \(0.0172514\pi\) | ||||
−0.998532 | + | 0.0541704i | \(0.982749\pi\) | |||||||
\(464\) | −28.4549 | − | 229.556i | −0.0613253 | − | 0.494732i | ||||
\(465\) | −36.3400 | −0.0781505 | ||||||||
\(466\) | −83.5276 | + | 132.933i | −0.179244 | + | 0.285265i | ||||
\(467\) | −61.9948 | − | 177.171i | −0.132751 | − | 0.379381i | 0.858250 | − | 0.513231i | \(-0.171552\pi\) |
−0.991002 | + | 0.133850i | \(0.957266\pi\) | |||||||
\(468\) | −179.353 | − | 372.430i | −0.383233 | − | 0.795791i | ||||
\(469\) | −1261.32 | + | 287.888i | −2.68938 | + | 0.613834i | ||||
\(470\) | −181.794 | − | 41.4932i | −0.386795 | − | 0.0882834i | ||||
\(471\) | −41.8287 | − | 20.1436i | −0.0888082 | − | 0.0427678i | ||||
\(472\) | −145.758 | − | 16.4230i | −0.308810 | − | 0.0347945i | ||||
\(473\) | −76.9928 | + | 61.3997i | −0.162775 | + | 0.129809i | ||||
\(474\) | −18.2100 | + | 52.0411i | −0.0384177 | + | 0.109791i | ||||
\(475\) | −2.96449 | + | 0.334018i | −0.00624103 | + | 0.000703195i | ||||
\(476\) | 623.760 | − | 623.760i | 1.31042 | − | 1.31042i | ||||
\(477\) | −277.484 | − | 221.286i | −0.581727 | − | 0.463912i | ||||
\(478\) | −114.716 | + | 72.0809i | −0.239992 | + | 0.150797i | ||||
\(479\) | 15.6633 | + | 24.9280i | 0.0327000 | + | 0.0520418i | 0.862674 | − | 0.505760i | \(-0.168788\pi\) |
−0.829974 | + | 0.557802i | \(0.811645\pi\) | |||||||
\(480\) | 47.8492 | − | 60.0011i | 0.0996859 | − | 0.125002i | ||||
\(481\) | −270.914 | − | 270.914i | −0.563231 | − | 0.563231i | ||||
\(482\) | −18.3807 | − | 163.133i | −0.0381342 | − | 0.338450i | ||||
\(483\) | −41.9847 | − | 14.6911i | −0.0869248 | − | 0.0304163i | ||||
\(484\) | −243.211 | − | 304.977i | −0.502501 | − | 0.630117i | ||||
\(485\) | −38.1501 | + | 338.592i | −0.0786600 | + | 0.698127i | ||||
\(486\) | −47.9821 | + | 99.6359i | −0.0987286 | + | 0.205012i | ||||
\(487\) | 39.7649 | − | 174.221i | 0.0816527 | − | 0.357744i | −0.917552 | − | 0.397616i | \(-0.869838\pi\) |
0.999205 | + | 0.0398716i | \(0.0126949\pi\) | |||||||
\(488\) | −98.8905 | − | 433.268i | −0.202645 | − | 0.887844i | ||||
\(489\) | −0.585342 | + | 0.281886i | −0.00119702 | + | 0.000576453i | ||||
\(490\) | −267.685 | + | 93.6669i | −0.546295 | + | 0.191157i | ||||
\(491\) | 319.674 | + | 200.864i | 0.651066 | + | 0.409092i | 0.816674 | − | 0.577100i | \(-0.195816\pi\) |
−0.165607 | + | 0.986192i | \(0.552958\pi\) | |||||||
\(492\) | 121.544i | 0.247041i | ||||||||
\(493\) | −690.800 | + | 7.68743i | −1.40122 | + | 0.0155932i | ||||
\(494\) | 5.80422 | 0.0117494 | ||||||||
\(495\) | 31.0079 | − | 49.3488i | 0.0626423 | − | 0.0996946i | ||||
\(496\) | −39.0517 | − | 111.603i | −0.0787333 | − | 0.225007i | ||||
\(497\) | 341.787 | + | 709.728i | 0.687701 | + | 1.42803i | ||||
\(498\) | 0.576887 | − | 0.131671i | 0.00115841 | − | 0.000264399i | ||||
\(499\) | −575.053 | − | 131.252i | −1.15241 | − | 0.263030i | −0.396707 | − | 0.917945i | \(-0.629847\pi\) |
−0.755703 | + | 0.654915i | \(0.772704\pi\) | |||||||
\(500\) | −401.065 | − | 193.143i | −0.802130 | − | 0.386286i | ||||
\(501\) | 110.116 | + | 12.4071i | 0.219793 | + | 0.0247647i | ||||
\(502\) | 218.032 | − | 173.875i | 0.434326 | − | 0.346364i | ||||
\(503\) | 122.173 | − | 349.151i | 0.242889 | − | 0.694137i | −0.756313 | − | 0.654209i | \(-0.773001\pi\) |
0.999203 | − | 0.0399278i | \(-0.0127128\pi\) | |||||||
\(504\) | 596.657 | − | 67.2271i | 1.18384 | − | 0.133387i | ||||
\(505\) | 257.590 | − | 257.590i | 0.510079 | − | 0.510079i | ||||
\(506\) | 7.13382 | + | 5.68903i | 0.0140985 | + | 0.0112432i | ||||
\(507\) | −19.5063 | + | 12.2566i | −0.0384740 | + | 0.0241748i | ||||
\(508\) | −14.4691 | − | 23.0275i | −0.0284825 | − | 0.0453296i | ||||
\(509\) | 595.965 | − | 747.316i | 1.17085 | − | 1.46820i | 0.316440 | − | 0.948613i | \(-0.397513\pi\) |
0.854414 | − | 0.519592i | \(-0.173916\pi\) | |||||||
\(510\) | −34.8135 | − | 34.8135i | −0.0682618 | − | 0.0682618i | ||||
\(511\) | 103.241 | + | 916.289i | 0.202037 | + | 1.79313i | ||||
\(512\) | 420.751 | + | 147.227i | 0.821779 | + | 0.287553i | ||||
\(513\) | 2.96908 | + | 3.72311i | 0.00578769 | + | 0.00725753i | ||||
\(514\) | −16.3732 | + | 145.316i | −0.0318544 | + | 0.282716i | ||||
\(515\) | 91.4863 | − | 189.973i | 0.177643 | − | 0.368880i | ||||
\(516\) | 26.3131 | − | 115.285i | 0.0509943 | − | 0.223421i | ||||
\(517\) | 17.6500 | + | 77.3298i | 0.0341393 | + | 0.149574i | ||||
\(518\) | 226.256 | − | 108.959i | 0.436788 | − | 0.210346i | ||||
\(519\) | −50.2191 | + | 17.5724i | −0.0967613 | + | 0.0338583i | ||||
\(520\) | 326.034 | + | 204.861i | 0.626989 | + | 0.393963i | ||||
\(521\) | − | 165.340i | − | 0.317352i | −0.987331 | − | 0.158676i | \(-0.949278\pi\) | ||
0.987331 | − | 0.158676i | \(-0.0507225\pi\) | |||||||
\(522\) | −167.359 | − | 130.444i | −0.320611 | − | 0.249893i | ||||
\(523\) | −680.975 | −1.30205 | −0.651027 | − | 0.759054i | \(-0.725662\pi\) | ||||
−0.651027 | + | 0.759054i | \(0.725662\pi\) | |||||||
\(524\) | −420.732 | + | 669.592i | −0.802924 | + | 1.27785i | ||||
\(525\) | 13.2161 | + | 37.7696i | 0.0251736 | + | 0.0719420i | ||||
\(526\) | −59.5185 | − | 123.591i | −0.113153 | − | 0.234965i | ||||
\(527\) | −344.280 | + | 78.5796i | −0.653283 | + | 0.149107i | ||||
\(528\) | −6.83634 | − | 1.56035i | −0.0129476 | − | 0.00295521i | ||||
\(529\) | 432.786 | + | 208.419i | 0.818122 | + | 0.393987i | ||||
\(530\) | 148.247 | + | 16.7034i | 0.279712 | + | 0.0315159i | ||||
\(531\) | 161.965 | − | 129.163i | 0.305018 | − | 0.243244i | ||||
\(532\) | 5.81511 | − | 16.6186i | 0.0109307 | − | 0.0312380i | ||||
\(533\) | −938.537 | + | 105.748i | −1.76086 | + | 0.198401i | ||||
\(534\) | 22.3235 | − | 22.3235i | 0.0418043 | − | 0.0418043i | ||||
\(535\) | 453.806 | + | 361.898i | 0.848235 | + | 0.676445i | ||||
\(536\) | −597.972 | + | 375.731i | −1.11562 | + | 0.700990i | ||||
\(537\) | 52.2048 | + | 83.0835i | 0.0972157 | + | 0.154718i | ||||
\(538\) | −15.4745 | + | 19.4044i | −0.0287630 | + | 0.0360677i | ||||
\(539\) | 85.3018 | + | 85.3018i | 0.158259 | + | 0.158259i | ||||
\(540\) | 15.9612 | + | 141.659i | 0.0295577 | + | 0.262332i | ||||
\(541\) | 259.030 | + | 90.6386i | 0.478799 | + | 0.167539i | 0.558879 | − | 0.829250i | \(-0.311232\pi\) |
−0.0800798 | + | 0.996788i | \(0.525518\pi\) | |||||||
\(542\) | 267.503 | + | 335.438i | 0.493547 | + | 0.618889i | ||||
\(543\) | 6.14447 | − | 54.5337i | 0.0113158 | − | 0.100430i | ||||
\(544\) | 323.574 | − | 671.908i | 0.594805 | − | 1.23513i | ||||
\(545\) | 19.5716 | − | 85.7489i | 0.0359113 | − | 0.157337i | ||||
\(546\) | −17.3240 | − | 75.9016i | −0.0317290 | − | 0.139014i | ||||
\(547\) | 506.415 | − | 243.877i | 0.925805 | − | 0.445844i | 0.0906647 | − | 0.995881i | \(-0.471101\pi\) |
0.835140 | + | 0.550037i | \(0.185387\pi\) | |||||||
\(548\) | 126.182 | − | 44.1529i | 0.230259 | − | 0.0805711i | ||||
\(549\) | 531.448 | + | 333.931i | 0.968028 | + | 0.608253i | ||||
\(550\) | − | 8.20844i | − | 0.0149244i | ||||||
\(551\) | −12.3559 | + | 6.12057i | −0.0224244 | + | 0.0111081i | ||||
\(552\) | −24.2805 | −0.0439865 | ||||||||
\(553\) | −691.443 | + | 1100.43i | −1.25035 | + | 1.98992i | ||||
\(554\) | −58.4664 | − | 167.087i | −0.105535 | − | 0.301602i | ||||
\(555\) | 28.1438 | + | 58.4413i | 0.0507096 | + | 0.105300i | ||||
\(556\) | −179.089 | + | 40.8758i | −0.322102 | + | 0.0735176i | ||||
\(557\) | −328.386 | − | 74.9521i | −0.589563 | − | 0.134564i | −0.0826759 | − | 0.996576i | \(-0.526347\pi\) |
−0.506887 | + | 0.862013i | \(0.669204\pi\) | |||||||
\(558\) | −97.7227 | − | 47.0608i | −0.175130 | − | 0.0843383i | ||||
\(559\) | 913.101 | + | 102.882i | 1.63345 | + | 0.184046i | ||||
\(560\) | 303.799 | − | 242.272i | 0.542498 | − | 0.432628i | ||||
\(561\) | −6.91691 | + | 19.7674i | −0.0123296 | + | 0.0352360i | ||||
\(562\) | 385.702 | − | 43.4581i | 0.686302 | − | 0.0773276i | ||||
\(563\) | 156.332 | − | 156.332i | 0.277677 | − | 0.277677i | −0.554504 | − | 0.832181i | \(-0.687092\pi\) |
0.832181 | + | 0.554504i | \(0.187092\pi\) | |||||||
\(564\) | −74.4648 | − | 59.3837i | −0.132030 | − | 0.105290i | ||||
\(565\) | 87.8631 | − | 55.2080i | 0.155510 | − | 0.0977133i | ||||
\(566\) | 201.410 | + | 320.542i | 0.355848 | + | 0.566329i | ||||
\(567\) | −508.449 | + | 637.575i | −0.896735 | + | 1.12447i | ||||
\(568\) | 304.056 | + | 304.056i | 0.535309 | + | 0.535309i | ||||
\(569\) | −36.9493 | − | 327.934i | −0.0649373 | − | 0.576334i | −0.983481 | − | 0.181014i | \(-0.942062\pi\) |
0.918543 | − | 0.395321i | \(-0.129366\pi\) | |||||||
\(570\) | −0.927526 | − | 0.324555i | −0.00162724 | − | 0.000569395i | ||||
\(571\) | 126.849 | + | 159.064i | 0.222153 | + | 0.278570i | 0.880401 | − | 0.474231i | \(-0.157274\pi\) |
−0.658248 | + | 0.752801i | \(0.728702\pi\) | |||||||
\(572\) | 8.27532 | − | 73.4455i | 0.0144673 | − | 0.128401i | ||||
\(573\) | 87.9968 | − | 182.727i | 0.153572 | − | 0.318896i | ||||
\(574\) | 137.755 | − | 603.542i | 0.239990 | − | 1.05147i | ||||
\(575\) | 9.73747 | + | 42.6627i | 0.0169347 | + | 0.0741959i | ||||
\(576\) | −43.1101 | + | 20.7607i | −0.0748438 | + | 0.0360429i | ||||
\(577\) | 612.104 | − | 214.185i | 1.06084 | − | 0.371204i | 0.257223 | − | 0.966352i | \(-0.417192\pi\) |
0.803616 | + | 0.595148i | \(0.202907\pi\) | |||||||
\(578\) | −198.799 | − | 124.914i | −0.343944 | − | 0.216114i | ||||
\(579\) | − | 168.670i | − | 0.291312i | ||||||
\(580\) | −410.671 | − | 41.6492i | −0.708053 | − | 0.0718090i | ||||
\(581\) | 13.9479 | 0.0240067 | ||||||||
\(582\) | 20.0077 | − | 31.8420i | 0.0343774 | − | 0.0547114i | ||||
\(583\) | −20.9592 | − | 59.8980i | −0.0359506 | − | 0.102741i | ||||
\(584\) | 218.389 | + | 453.490i | 0.373954 | + | 0.776523i | ||||
\(585\) | −530.186 | + | 121.012i | −0.906301 | + | 0.206857i | ||||
\(586\) | −92.3475 | − | 21.0777i | −0.157590 | − | 0.0359688i | ||||
\(587\) | −702.630 | − | 338.369i | −1.19698 | − | 0.576437i | −0.274170 | − | 0.961681i | \(-0.588403\pi\) |
−0.922815 | + | 0.385244i | \(0.874117\pi\) | |||||||
\(588\) | −143.945 | − | 16.2187i | −0.244805 | − | 0.0275829i | ||||
\(589\) | −5.51058 | + | 4.39454i | −0.00935582 | + | 0.00746101i | ||||
\(590\) | −28.7600 | + | 82.1915i | −0.0487458 | + | 0.139308i | ||||
\(591\) | −78.2580 | + | 8.81755i | −0.132416 | + | 0.0149197i | ||||
\(592\) | −149.234 | + | 149.234i | −0.252085 | + | 0.252085i | ||||
\(593\) | −694.472 | − | 553.823i | −1.17112 | − | 0.933934i | −0.172422 | − | 0.985023i | \(-0.555159\pi\) |
−0.998694 | + | 0.0510897i | \(0.983731\pi\) | |||||||
\(594\) | −11.0945 | + | 6.97111i | −0.0186775 | + | 0.0117359i | ||||
\(595\) | −617.435 | − | 982.642i | −1.03771 | − | 1.65150i | ||||
\(596\) | 214.216 | − | 268.618i | 0.359423 | − | 0.450702i | ||||
\(597\) | 4.63648 | + | 4.63648i | 0.00776629 | + | 0.00776629i | ||||
\(598\) | −9.53258 | − | 84.6040i | −0.0159408 | − | 0.141478i | ||||
\(599\) | 153.834 | + | 53.8288i | 0.256818 | + | 0.0898645i | 0.455617 | − | 0.890176i | \(-0.349419\pi\) |
−0.198799 | + | 0.980040i | \(0.563704\pi\) | |||||||
\(600\) | 13.6188 | + | 17.0774i | 0.0226980 | + | 0.0284624i | ||||
\(601\) | 56.1166 | − | 498.048i | 0.0933720 | − | 0.828699i | −0.856518 | − | 0.516116i | \(-0.827377\pi\) |
0.949890 | − | 0.312583i | \(-0.101194\pi\) | |||||||
\(602\) | −261.322 | + | 542.640i | −0.434089 | + | 0.901395i | ||||
\(603\) | 221.944 | − | 972.402i | 0.368067 | − | 1.61261i | ||||
\(604\) | 30.2283 | + | 132.439i | 0.0500468 | + | 0.219270i | ||||
\(605\) | −462.364 | + | 222.663i | −0.764238 | + | 0.368038i | ||||
\(606\) | −37.9494 | + | 13.2791i | −0.0626228 | + | 0.0219127i | ||||
\(607\) | 791.990 | + | 497.641i | 1.30476 | + | 0.819836i | 0.991535 | − | 0.129842i | \(-0.0414471\pi\) |
0.313227 | + | 0.949678i | \(0.398590\pi\) | |||||||
\(608\) | − | 14.8849i | − | 0.0244817i | ||||||
\(609\) | 116.917 | + | 143.309i | 0.191983 | + | 0.235318i | ||||
\(610\) | −263.827 | −0.432504 | ||||||||
\(611\) | 393.761 | − | 626.668i | 0.644454 | − | 1.02564i | ||||
\(612\) | 224.612 | + | 641.906i | 0.367014 | + | 1.04887i | ||||
\(613\) | 152.936 | + | 317.575i | 0.249488 | + | 0.518067i | 0.987673 | − | 0.156531i | \(-0.0500312\pi\) |
−0.738185 | + | 0.674598i | \(0.764317\pi\) | |||||||
\(614\) | −152.526 | + | 34.8131i | −0.248414 | + | 0.0566989i | ||||
\(615\) | 155.893 | + | 35.5816i | 0.253485 | + | 0.0578562i | ||||
\(616\) | 96.7260 | + | 46.5808i | 0.157023 | + | 0.0756182i | ||||
\(617\) | −839.013 | − | 94.5340i | −1.35983 | − | 0.153216i | −0.598260 | − | 0.801302i | \(-0.704141\pi\) |
−0.761566 | + | 0.648087i | \(0.775569\pi\) | |||||||
\(618\) | −18.1944 | + | 14.5096i | −0.0294409 | + | 0.0234783i | ||||
\(619\) | −171.638 | + | 490.514i | −0.277283 | + | 0.792430i | 0.718055 | + | 0.695986i | \(0.245032\pi\) |
−0.995338 | + | 0.0964436i | \(0.969253\pi\) | |||||||
\(620\) | −209.670 | + | 23.6241i | −0.338177 | + | 0.0381034i | ||||
\(621\) | 49.3928 | − | 49.3928i | 0.0795376 | − | 0.0795376i | ||||
\(622\) | −331.663 | − | 264.493i | −0.533221 | − | 0.425229i | ||||
\(623\) | 630.100 | − | 395.918i | 1.01140 | − | 0.635502i | ||||
\(624\) | 34.8105 | + | 55.4006i | 0.0557860 | + | 0.0887829i | ||||
\(625\) | −267.338 | + | 335.231i | −0.427741 | + | 0.536370i | ||||
\(626\) | −98.9575 | − | 98.9575i | −0.158079 | − | 0.158079i | ||||
\(627\) | 0.0468011 | + | 0.415371i | 7.46429e−5 | + | 0.000662474i | ||||
\(628\) | −254.433 | − | 89.0300i | −0.405148 | − | 0.141767i | ||||
\(629\) | 393.001 | + | 492.808i | 0.624803 | + | 0.783478i | ||||
\(630\) | 39.9098 | − | 354.210i | 0.0633490 | − | 0.562238i | ||||
\(631\) | −226.898 | + | 471.158i | −0.359584 | + | 0.746685i | −0.999768 | − | 0.0215372i | \(-0.993144\pi\) |
0.640184 | + | 0.768222i | \(0.278858\pi\) | |||||||
\(632\) | −157.861 | + | 691.635i | −0.249780 | + | 1.09436i | ||||
\(633\) | −17.5241 | − | 76.7780i | −0.0276842 | − | 0.121292i | ||||
\(634\) | −14.4331 | + | 6.95062i | −0.0227652 | + | 0.0109631i | ||||
\(635\) | −33.7709 | + | 11.8170i | −0.0531826 | + | 0.0186094i | ||||
\(636\) | 64.5208 | + | 40.5411i | 0.101448 | + | 0.0637438i | ||||
\(637\) | − | 1125.63i | − | 1.76708i | ||||||
\(638\) | −12.9284 | − | 35.6691i | −0.0202640 | − | 0.0559077i | ||||
\(639\) | −607.299 | −0.950390 | ||||||||
\(640\) | 298.995 | − | 475.848i | 0.467179 | − | 0.743512i | ||||
\(641\) | −284.960 | − | 814.368i | −0.444555 | − | 1.27046i | −0.920415 | − | 0.390944i | \(-0.872149\pi\) |
0.475860 | − | 0.879521i | \(-0.342137\pi\) | |||||||
\(642\) | −27.7954 | − | 57.7178i | −0.0432950 | − | 0.0899031i | ||||
\(643\) | 221.189 | − | 50.4849i | 0.343995 | − | 0.0785147i | −0.0470331 | − | 0.998893i | \(-0.514977\pi\) |
0.391028 | + | 0.920379i | \(0.372119\pi\) | |||||||
\(644\) | −251.788 | − | 57.4691i | −0.390976 | − | 0.0892377i | ||||
\(645\) | −140.162 | − | 67.4986i | −0.217306 | − | 0.104649i | ||||
\(646\) | −9.48905 | − | 1.06916i | −0.0146889 | − | 0.00165504i | ||||
\(647\) | 639.749 | − | 510.183i | 0.988794 | − | 0.788537i | 0.0113937 | − | 0.999935i | \(-0.496373\pi\) |
0.977400 | + | 0.211398i | \(0.0678018\pi\) | |||||||
\(648\) | −147.023 | + | 420.167i | −0.226887 | + | 0.648406i | ||||
\(649\) | 36.8076 | − | 4.14722i | 0.0567143 | − | 0.00639017i | ||||
\(650\) | −54.1585 | + | 54.1585i | −0.0833208 | + | 0.0833208i | ||||
\(651\) | 73.9148 | + | 58.9451i | 0.113540 | + | 0.0905454i | ||||
\(652\) | −3.19398 | + | 2.00691i | −0.00489875 | + | 0.00307809i | ||||
\(653\) | 430.330 | + | 684.867i | 0.659005 | + | 1.04880i | 0.994293 | + | 0.106685i | \(0.0340236\pi\) |
−0.335288 | + | 0.942116i | \(0.608834\pi\) | |||||||
\(654\) | −6.05241 | + | 7.58949i | −0.00925445 | + | 0.0116047i | ||||
\(655\) | 735.655 | + | 735.655i | 1.12314 | + | 1.12314i | ||||
\(656\) | 58.2517 | + | 516.998i | 0.0887984 | + | 0.788107i | ||||
\(657\) | −670.982 | − | 234.787i | −1.02128 | − | 0.357362i | ||||
\(658\) | 302.461 | + | 379.274i | 0.459667 | + | 0.576404i | ||||
\(659\) | −11.9427 | + | 105.994i | −0.0181225 | + | 0.160841i | −0.999514 | − | 0.0311765i | \(-0.990075\pi\) |
0.981391 | + | 0.192018i | \(0.0615032\pi\) | |||||||
\(660\) | −5.42927 | + | 11.2740i | −0.00822616 | + | 0.0170818i | ||||
\(661\) | 58.7442 | − | 257.375i | 0.0888717 | − | 0.389372i | −0.910856 | − | 0.412725i | \(-0.864577\pi\) |
0.999727 | + | 0.0233529i | \(0.00743414\pi\) | |||||||
\(662\) | −9.03830 | − | 39.5994i | −0.0136530 | − | 0.0598178i | ||||
\(663\) | 176.061 | − | 84.7863i | 0.265551 | − | 0.127883i | ||||
\(664\) | 7.18642 | − | 2.51464i | 0.0108229 | − | 0.00378710i | ||||
\(665\) | −19.6128 | − | 12.3236i | −0.0294930 | − | 0.0185317i | ||||
\(666\) | 193.602i | 0.290694i | ||||||||
\(667\) | 109.508 | + | 170.050i | 0.164180 | + | 0.254948i | ||||
\(668\) | 643.402 | 0.963176 | ||||||||
\(669\) | −34.6758 | + | 55.1862i | −0.0518322 | + | 0.0824905i | ||||
\(670\) | 138.470 | + | 395.724i | 0.206672 | + | 0.590634i | ||||
\(671\) | 48.6924 | + | 101.111i | 0.0725669 | + | 0.150687i | ||||
\(672\) | −194.649 | + | 44.4273i | −0.289656 | + | 0.0661121i | ||||
\(673\) | 396.421 | + | 90.4804i | 0.589035 | + | 0.134443i | 0.506642 | − | 0.862156i | \(-0.330887\pi\) |
0.0823931 | + | 0.996600i | \(0.473744\pi\) | |||||||
\(674\) | −169.198 | − | 81.4813i | −0.251035 | − | 0.120892i | ||||
\(675\) | −62.4440 | − | 7.03575i | −0.0925097 | − | 0.0104233i | ||||
\(676\) | −104.577 | + | 83.3976i | −0.154700 | + | 0.123369i | ||||
\(677\) | −170.754 | + | 487.988i | −0.252222 | + | 0.720810i | 0.746256 | + | 0.665659i | \(0.231850\pi\) |
−0.998478 | + | 0.0551504i | \(0.982436\pi\) | |||||||
\(678\) | −11.3807 | + | 1.28229i | −0.0167857 | + | 0.00189129i | ||||
\(679\) | 626.807 | − | 626.807i | 0.923133 | − | 0.923133i | ||||
\(680\) | −495.282 | − | 394.974i | −0.728355 | − | 0.580844i | ||||
\(681\) | −109.648 | + | 68.8967i | −0.161011 | + | 0.101170i | ||||
\(682\) | −10.3179 | − | 16.4209i | −0.0151289 | − | 0.0240776i | ||||
\(683\) | 207.865 | − | 260.654i | 0.304341 | − | 0.381631i | −0.606018 | − | 0.795451i | \(-0.707234\pi\) |
0.910359 | + | 0.413820i | \(0.135806\pi\) | |||||||
\(684\) | 9.59804 | + | 9.59804i | 0.0140322 | + | 0.0140322i | ||||
\(685\) | −19.6915 | − | 174.767i | −0.0287468 | − | 0.255135i | ||||
\(686\) | 257.440 | + | 90.0822i | 0.375277 | + | 0.131315i | ||||
\(687\) | −72.9932 | − | 91.5306i | −0.106249 | − | 0.133232i | ||||
\(688\) | 56.6730 | − | 502.986i | 0.0823735 | − | 0.731085i | ||||
\(689\) | −256.914 | + | 533.488i | −0.372880 | + | 0.774293i | ||||
\(690\) | −3.20749 | + | 14.0529i | −0.00464853 | + | 0.0203665i | ||||
\(691\) | 35.5687 | + | 155.837i | 0.0514743 | + | 0.225523i | 0.994122 | − | 0.108266i | \(-0.0345298\pi\) |
−0.942648 | + | 0.333789i | \(0.891673\pi\) | |||||||
\(692\) | −278.325 | + | 134.034i | −0.402203 | + | 0.193691i | ||||
\(693\) | −143.115 | + | 50.0783i | −0.206516 | + | 0.0722630i | ||||
\(694\) | −285.912 | − | 179.651i | −0.411978 | − | 0.258863i | ||||
\(695\) | 241.666i | 0.347722i | ||||||||
\(696\) | 86.0766 | + | 52.7587i | 0.123673 | + | 0.0758028i | ||||
\(697\) | 1553.85 | 2.22934 | ||||||||
\(698\) | −85.7120 | + | 136.410i | −0.122797 | + | 0.195430i | ||||
\(699\) | 34.8438 | + | 99.5779i | 0.0498481 | + | 0.142458i | ||||
\(700\) | 100.806 | + | 209.327i | 0.144009 | + | 0.299038i | ||||
\(701\) | 1073.12 | − | 244.932i | 1.53084 | − | 0.349404i | 0.627597 | − | 0.778539i | \(-0.284039\pi\) |
0.903240 | + | 0.429135i | \(0.141182\pi\) | |||||||
\(702\) | 119.195 | + | 27.2055i | 0.169793 | + | 0.0387542i | ||||
\(703\) | 11.3349 | + | 5.45861i | 0.0161237 | + | 0.00776474i | ||||
\(704\) | −8.50156 | − | 0.957896i | −0.0120761 | − | 0.00136065i | ||||
\(705\) | −97.9652 | + | 78.1247i | −0.138958 | + | 0.110815i | ||||
\(706\) | −48.8070 | + | 139.483i | −0.0691318 | + | 0.197567i | ||||
\(707\) | −941.755 | + | 106.110i | −1.33204 | + | 0.150085i | ||||
\(708\) | −31.4503 | + | 31.4503i | −0.0444214 | + | 0.0444214i | ||||
\(709\) | 207.591 | + | 165.548i | 0.292794 | + | 0.233496i | 0.758859 | − | 0.651255i | \(-0.225757\pi\) |
−0.466065 | + | 0.884751i | \(0.654329\pi\) | |||||||
\(710\) | 216.145 | − | 135.813i | 0.304430 | − | 0.191286i | ||||
\(711\) | −533.061 | − | 848.361i | −0.749734 | − | 1.19319i | ||||
\(712\) | 253.269 | − | 317.589i | 0.355715 | − | 0.446052i | ||||
\(713\) | 73.1063 | + | 73.1063i | 0.102533 | + | 0.102533i | ||||
\(714\) | 14.3409 | + | 127.279i | 0.0200853 | + | 0.178262i | ||||
\(715\) | −91.7790 | − | 32.1149i | −0.128362 | − | 0.0449159i | ||||
\(716\) | 355.217 | + | 445.428i | 0.496113 | + | 0.622106i | ||||
\(717\) | −10.1933 | + | 90.4681i | −0.0142166 | + | 0.126176i | ||||
\(718\) | 111.232 | − | 230.976i | 0.154920 | − | 0.321694i | ||||
\(719\) | −251.846 | + | 1103.41i | −0.350273 | + | 1.53465i | 0.426279 | + | 0.904592i | \(0.359824\pi\) |
−0.776552 | + | 0.630054i | \(0.783033\pi\) | |||||||
\(720\) | 66.6599 | + | 292.056i | 0.0925831 | + | 0.405633i | ||||
\(721\) | −494.226 | + | 238.007i | −0.685474 | + | 0.330107i | ||||
\(722\) | 287.083 | − | 100.455i | 0.397623 | − | 0.139134i | ||||
\(723\) | −93.4062 | − | 58.6910i | −0.129193 | − | 0.0811770i | ||||
\(724\) | − | 318.636i | − | 0.440106i | ||||||
\(725\) | 58.1808 | − | 172.401i | 0.0802493 | − | 0.237795i | ||||
\(726\) | 56.6392 | 0.0780154 | ||||||||
\(727\) | 25.1121 | − | 39.9657i | 0.0345421 | − | 0.0549734i | −0.829007 | − | 0.559238i | \(-0.811094\pi\) |
0.863549 | + | 0.504265i | \(0.168237\pi\) | |||||||
\(728\) | −330.853 | − | 945.524i | −0.454469 | − | 1.29880i | ||||
\(729\) | −250.623 | − | 520.425i | −0.343791 | − | 0.713889i | ||||
\(730\) | 291.317 | − | 66.4912i | 0.399064 | − | 0.0910838i | ||||
\(731\) | −1473.83 | − | 336.393i | −2.01619 | − | 0.460182i | ||||
\(732\) | −121.412 | − | 58.4689i | −0.165863 | − | 0.0798755i | ||||
\(733\) | 117.112 | + | 13.1954i | 0.159771 | + | 0.0180019i | 0.191488 | − | 0.981495i | \(-0.438669\pi\) |
−0.0317165 | + | 0.999497i | \(0.510097\pi\) | |||||||
\(734\) | −71.6018 | + | 57.1005i | −0.0975501 | + | 0.0777936i | ||||
\(735\) | −62.9418 | + | 179.877i | −0.0856351 | + | 0.244731i | ||||
\(736\) | −216.966 | + | 24.4462i | −0.294791 | + | 0.0332149i | ||||
\(737\) | 126.104 | − | 126.104i | 0.171104 | − | 0.171104i | ||||
\(738\) | 373.137 | + | 297.567i | 0.505606 | + | 0.403207i | ||||
\(739\) | −954.623 | + | 599.830i | −1.29178 | + | 0.811677i | −0.989913 | − | 0.141674i | \(-0.954752\pi\) |
−0.301864 | + | 0.953351i | \(0.597609\pi\) | |||||||
\(740\) | 200.373 | + | 318.891i | 0.270774 | + | 0.430934i | ||||
\(741\) | 2.43179 | − | 3.04937i | 0.00328177 | − | 0.00411521i | ||||
\(742\) | −274.438 | − | 274.438i | −0.369862 | − | 0.369862i | ||||
\(743\) | 84.0696 | + | 746.139i | 0.113149 | + | 1.00422i | 0.914098 | + | 0.405492i | \(0.132900\pi\) |
−0.800950 | + | 0.598732i | \(0.795672\pi\) | |||||||
\(744\) | 48.7104 | + | 17.0445i | 0.0654710 | + | 0.0229093i | ||||
\(745\) | −281.820 | − | 353.392i | −0.378282 | − | 0.474351i | ||||
\(746\) | 40.9643 | − | 363.568i | 0.0549119 | − | 0.487356i | ||||
\(747\) | −4.66554 | + | 9.68810i | −0.00624571 | + | 0.0129693i | ||||
\(748\) | −27.0578 | + | 118.548i | −0.0361736 | + | 0.158487i | ||||
\(749\) | −336.017 | − | 1472.19i | −0.448621 | − | 1.96554i | ||||
\(750\) | 58.2343 | − | 28.0441i | 0.0776457 | − | 0.0373922i | ||||
\(751\) | −1157.37 | + | 404.983i | −1.54111 | + | 0.539258i | −0.961303 | − | 0.275495i | \(-0.911158\pi\) |
−0.579808 | + | 0.814753i | \(0.696873\pi\) | |||||||
\(752\) | −345.203 | − | 216.906i | −0.459047 | − | 0.288438i | ||||
\(753\) | − | 187.396i | − | 0.248865i | ||||||
\(754\) | −150.041 | + | 320.642i | −0.198993 | + | 0.425255i | ||||
\(755\) | 178.716 | 0.236710 | ||||||||
\(756\) | 197.313 | − | 314.022i | 0.260996 | − | 0.415373i | ||||
\(757\) | 347.068 | + | 991.864i | 0.458478 | + | 1.31026i | 0.908741 | + | 0.417360i | \(0.137045\pi\) |
−0.450263 | + | 0.892896i | \(0.648670\pi\) | |||||||
\(758\) | 100.608 | + | 208.915i | 0.132729 | + | 0.275614i | ||||
\(759\) | 5.97771 | − | 1.36437i | 0.00787577 | − | 0.00179759i | ||||
\(760\) | −12.3270 | − | 2.81355i | −0.0162197 | − | 0.00370204i | ||||
\(761\) | 147.446 | + | 71.0065i | 0.193754 | + | 0.0933068i | 0.528245 | − | 0.849092i | \(-0.322850\pi\) |
−0.334491 | + | 0.942399i | \(0.608565\pi\) | |||||||
\(762\) | 3.92400 | + | 0.442128i | 0.00514960 | + | 0.000580221i | ||||
\(763\) | −178.897 | + | 142.665i | −0.234465 | + | 0.186980i | ||||
\(764\) | 388.925 | − | 1111.48i | 0.509064 | − | 1.45482i | ||||
\(765\) | 889.067 | − | 100.174i | 1.16218 | − | 0.130946i | ||||
\(766\) | 130.285 | − | 130.285i | 0.170084 | − | 0.170084i | ||||
\(767\) | −270.216 | − | 215.490i | −0.352302 | − | 0.280952i | ||||
\(768\) | −41.9403 | + | 26.3528i | −0.0546097 | + | 0.0343136i | ||||
\(769\) | 451.872 | + | 719.149i | 0.587609 | + | 0.935175i | 0.999711 | + | 0.0240371i | \(0.00765197\pi\) |
−0.412102 | + | 0.911138i | \(0.635205\pi\) | |||||||
\(770\) | 39.7373 | − | 49.8290i | 0.0516069 | − | 0.0647130i | ||||
\(771\) | 69.4849 | + | 69.4849i | 0.0901231 | + | 0.0901231i | ||||
\(772\) | −109.650 | − | 973.169i | −0.142033 | − | 1.26058i | ||||
\(773\) | 1129.95 | + | 395.387i | 1.46177 | + | 0.511497i | 0.939878 | − | 0.341511i | \(-0.110939\pi\) |
0.521897 | + | 0.853008i | \(0.325224\pi\) | |||||||
\(774\) | −289.502 | − | 363.024i | −0.374034 | − | 0.469023i | ||||
\(775\) | 10.4136 | − | 92.4234i | 0.0134369 | − | 0.119256i | ||||
\(776\) | 209.946 | − | 435.958i | 0.270549 | − | 0.561801i | ||||
\(777\) | 37.5504 | − | 164.519i | 0.0483274 | − | 0.211736i | ||||
\(778\) | 6.88977 | + | 30.1860i | 0.00885574 | + | 0.0387995i | ||||
\(779\) | 27.9424 | − | 13.4563i | 0.0358695 | − | 0.0172739i | ||||
\(780\) | 110.206 | − | 38.5629i | 0.141290 | − | 0.0494396i | ||||
\(781\) | −91.9420 | − | 57.7710i | −0.117723 | − | 0.0739706i | ||||
\(782\) | 140.071i | 0.179119i | ||||||||
\(783\) | −282.427 | + | 67.7772i | −0.360698 | + | 0.0865609i | ||||
\(784\) | −620.058 | −0.790890 | ||||||||
\(785\) | −188.675 | + | 300.274i | −0.240350 | + | 0.382515i | ||||
\(786\) | −37.9239 | − | 108.380i | −0.0482492 | − | 0.137888i | ||||
\(787\) | −645.160 | − | 1339.69i | −0.819772 | − | 1.70227i | −0.705371 | − | 0.708839i | \(-0.749219\pi\) |
−0.114401 | − | 0.993435i | \(-0.536495\pi\) | |||||||
\(788\) | −445.791 | + | 101.749i | −0.565725 | + | 0.129123i | ||||
\(789\) | −89.8678 | − | 20.5117i | −0.113901 | − | 0.0259971i | ||||
\(790\) | 379.446 | + | 182.731i | 0.480311 | + | 0.231306i | ||||
\(791\) | −268.262 | − | 30.2258i | −0.339142 | − | 0.0382122i | ||||
\(792\) | −64.7093 | + | 51.6040i | −0.0817037 | + | 0.0651565i | ||||
\(793\) | 345.852 | − | 988.387i | 0.436131 | − | 1.24639i | ||||
\(794\) | −112.397 | + | 12.6640i | −0.141557 | + | 0.0159497i | ||||
\(795\) | 70.8865 | − | 70.8865i | 0.0891654 | − | 0.0891654i | ||||
\(796\) | 29.7651 | + | 23.7369i | 0.0373933 | + | 0.0298202i | ||||
\(797\) | −126.257 | + | 79.3327i | −0.158416 | + | 0.0995391i | −0.608907 | − | 0.793242i | \(-0.708392\pi\) |
0.450491 | + | 0.892781i | \(0.351249\pi\) | |||||||
\(798\) | 1.36013 | + | 2.16463i | 0.00170442 | + | 0.00271256i | ||||
\(799\) | −759.176 | + | 951.977i | −0.950158 | + | 1.19146i | ||||
\(800\) | 138.889 | + | 138.889i | 0.173611 | + | 0.173611i | ||||
\(801\) | 64.2344 | + | 570.096i | 0.0801928 | + | 0.711730i | ||||
\(802\) | −378.101 | − | 132.303i | −0.471447 | − | 0.164967i | ||||
\(803\) | −79.2485 | − | 99.3745i | −0.0986905 | − | 0.123754i | ||||
\(804\) | −23.9766 | + | 212.798i | −0.0298216 | + | 0.264674i | ||||
\(805\) | −147.420 | + | 306.122i | −0.183131 | + | 0.380275i | ||||
\(806\) | −40.2668 | + | 176.420i | −0.0499588 | + | 0.218884i | ||||
\(807\) | 3.71118 | + | 16.2597i | 0.00459873 | + | 0.0201484i | ||||
\(808\) | −466.093 | + | 224.459i | −0.576848 | + | 0.277795i | ||||
\(809\) | 1262.37 | − | 441.723i | 1.56041 | − | 0.546012i | 0.594324 | − | 0.804226i | \(-0.297420\pi\) |
0.966088 | + | 0.258214i | \(0.0831341\pi\) | |||||||
\(810\) | 223.759 | + | 140.597i | 0.276246 | + | 0.173577i | ||||
\(811\) | 1098.94i | 1.35504i | 0.735502 | + | 0.677522i | \(0.236946\pi\) | ||||
−0.735502 | + | 0.677522i | \(0.763054\pi\) | |||||||
\(812\) | 767.739 | + | 750.840i | 0.945491 | + | 0.924679i | ||||
\(813\) | 288.305 | 0.354618 | ||||||||
\(814\) | −18.4170 | + | 29.3104i | −0.0226253 | + | 0.0360079i | ||||
\(815\) | 1.63905 | + | 4.68414i | 0.00201111 | + | 0.00574741i | ||||
\(816\) | −46.7050 | − | 96.9839i | −0.0572365 | − | 0.118853i | ||||
\(817\) | −29.4166 | + | 6.71416i | −0.0360057 | + | 0.00821806i | ||||
\(818\) | −24.0199 | − | 5.48238i | −0.0293641 | − | 0.00670217i | ||||
\(819\) | 1274.67 | + | 613.850i | 1.55638 | + | 0.749512i | ||||
\(820\) | 922.584 | + | 103.950i | 1.12510 | + | 0.126769i | ||||
\(821\) | −548.717 | + | 437.587i | −0.668352 | + | 0.532993i | −0.897842 | − | 0.440318i | \(-0.854866\pi\) |
0.229490 | + | 0.973311i | \(0.426294\pi\) | |||||||
\(822\) | −6.41097 | + | 18.3215i | −0.00779923 | + | 0.0222889i | ||||
\(823\) | 1160.52 | − | 130.760i | 1.41011 | − | 0.158882i | 0.626158 | − | 0.779696i | \(-0.284627\pi\) |
0.783957 | + | 0.620815i | \(0.213198\pi\) | |||||||
\(824\) | −211.732 | + | 211.732i | −0.256956 | + | 0.256956i | ||||
\(825\) | −4.31247 | − | 3.43908i | −0.00522724 | − | 0.00416859i | ||||
\(826\) | 191.816 | − | 120.526i | 0.232222 | − | 0.145915i | ||||
\(827\) | 172.877 | + | 275.132i | 0.209041 | + | 0.332687i | 0.934744 | − | 0.355321i | \(-0.115628\pi\) |
−0.725703 | + | 0.688008i | \(0.758485\pi\) | |||||||
\(828\) | 124.140 | − | 155.667i | 0.149928 | − | 0.188004i | ||||
\(829\) | −428.233 | − | 428.233i | −0.516566 | − | 0.516566i | 0.399964 | − | 0.916531i | \(-0.369022\pi\) |
−0.916531 | + | 0.399964i | \(0.869022\pi\) | |||||||
\(830\) | −0.506070 | − | 4.49149i | −0.000609722 | − | 0.00541144i | ||||
\(831\) | −112.278 | − | 39.2879i | −0.135112 | − | 0.0472779i | ||||
\(832\) | 49.7724 | + | 62.4126i | 0.0598226 | + | 0.0750152i | ||||
\(833\) | −207.345 | + | 1840.23i | −0.248913 | + | 2.20916i | ||||
\(834\) | 11.5726 | − | 24.0308i | 0.0138761 | − | 0.0288140i | ||||
\(835\) | 188.354 | − | 825.231i | 0.225573 | − | 0.988301i | ||||
\(836\) | 0.540055 | + | 2.36613i | 0.000645998 | + | 0.00283030i | ||||
\(837\) | −133.763 | + | 64.4167i | −0.159812 | + | 0.0769614i | ||||
\(838\) | −176.190 | + | 61.6515i | −0.210251 | + | 0.0735698i | ||||
\(839\) | −788.003 | − | 495.135i | −0.939217 | − | 0.590149i | −0.0269021 | − | 0.999638i | \(-0.508564\pi\) |
−0.912315 | + | 0.409489i | \(0.865707\pi\) | |||||||
\(840\) | 169.597i | 0.201901i | ||||||||
\(841\) | −18.7155 | − | 840.792i | −0.0222538 | − | 0.999752i | ||||
\(842\) | −103.329 | −0.122718 | ||||||||
\(843\) | 138.765 | − | 220.844i | 0.164609 | − | 0.261974i | ||||
\(844\) | −151.021 | − | 431.592i | −0.178934 | − | 0.511365i | ||||
\(845\) | 76.3516 | + | 158.546i | 0.0903569 | + | 0.187628i | ||||
\(846\) | −364.613 | + | 83.2206i | −0.430985 | + | 0.0983694i | ||||
\(847\) | 1301.61 | + | 297.083i | 1.53673 | + | 0.350748i | ||||
\(848\) | 293.875 | + | 141.523i | 0.346550 | + | 0.166890i | ||||
\(849\) | 252.788 | + | 28.4824i | 0.297748 | + | 0.0335481i | ||||
\(850\) | 98.5173 | − | 78.5649i | 0.115903 | − | 0.0924293i | ||||
\(851\) | 60.9503 | − | 174.186i | 0.0716220 | − | 0.204684i | ||||
\(852\) | 129.568 | − | 14.5988i | 0.152075 | − | 0.0171347i | ||||
\(853\) | −962.602 | + | 962.602i | −1.12849 | + | 1.12849i | −0.138067 | + | 0.990423i | \(0.544089\pi\) |
−0.990423 | + | 0.138067i | \(0.955911\pi\) | |||||||
\(854\) | 536.619 | + | 427.939i | 0.628360 | + | 0.501100i | ||||
\(855\) | 15.1203 | − | 9.50071i | 0.0176846 | − | 0.0111119i | ||||
\(856\) | −438.544 | − | 697.940i | −0.512318 | − | 0.815350i | ||||
\(857\) | 173.622 | − | 217.715i | 0.202592 | − | 0.254043i | −0.670148 | − | 0.742228i | \(-0.733769\pi\) |
0.872740 | + | 0.488185i | \(0.162341\pi\) | |||||||
\(858\) | 7.58845 | + | 7.58845i | 0.00884435 | + | 0.00884435i | ||||
\(859\) | 85.2609 | + | 756.711i | 0.0992560 | + | 0.880921i | 0.940391 | + | 0.340096i | \(0.110459\pi\) |
−0.841135 | + | 0.540825i | \(0.818112\pi\) | |||||||
\(860\) | −852.571 | − | 298.328i | −0.991362 | − | 0.346893i | ||||
\(861\) | −259.368 | − | 325.238i | −0.301241 | − | 0.377744i | ||||
\(862\) | −18.6671 | + | 165.675i | −0.0216556 | + | 0.192199i | ||||
\(863\) | 566.520 | − | 1176.39i | 0.656454 | − | 1.36314i | −0.261016 | − | 0.965335i | \(-0.584057\pi\) |
0.917470 | − | 0.397806i | \(-0.130228\pi\) | |||||||
\(864\) | 69.7680 | − | 305.674i | 0.0807501 | − | 0.353789i | ||||
\(865\) | 90.4344 | + | 396.219i | 0.104548 | + | 0.458056i | ||||
\(866\) | 133.559 | − | 64.3188i | 0.154226 | − | 0.0742712i | ||||
\(867\) | −148.917 | + | 52.1083i | −0.171761 | + | 0.0601019i | ||||
\(868\) | 464.784 | + | 292.043i | 0.535465 | + | 0.336455i | ||||
\(869\) | − | 179.146i | − | 0.206152i | ||||||
\(870\) | 41.9061 | − | 42.8493i | 0.0481680 | − | 0.0492521i | ||||
\(871\) | −1664.04 | −1.91049 | ||||||||
\(872\) | −66.4528 | + | 105.759i | −0.0762073 | + | 0.121283i | ||||
\(873\) | 225.710 | + | 645.041i | 0.258545 | + | 0.738879i | ||||
\(874\) | 1.21302 | + | 2.51885i | 0.00138789 | + | 0.00288198i | ||||
\(875\) | 1485.36 | − | 339.024i | 1.69755 | − | 0.387456i | ||||
\(876\) | 148.798 | + | 33.9622i | 0.169861 | + | 0.0387697i | ||||
\(877\) | −810.161 | − | 390.153i | −0.923787 | − | 0.444872i | −0.0893654 | − | 0.995999i | \(-0.528484\pi\) |
−0.834422 | + | 0.551126i | \(0.814198\pi\) | |||||||
\(878\) | 187.600 | + | 21.1375i | 0.213668 | + | 0.0240746i | ||||
\(879\) | −49.7644 | + | 39.6858i | −0.0566148 | + | 0.0451488i | ||||
\(880\) | −17.6907 | + | 50.5570i | −0.0201030 | + | 0.0574511i | ||||
\(881\) | −270.422 | + | 30.4692i | −0.306949 | + | 0.0345848i | −0.264096 | − | 0.964497i | \(-0.585073\pi\) |
−0.0428534 | + | 0.999081i | \(0.513645\pi\) | |||||||
\(882\) | −402.202 | + | 402.202i | −0.456011 | + | 0.456011i | ||||
\(883\) | 33.8605 | + | 27.0028i | 0.0383471 | + | 0.0305808i | 0.642476 | − | 0.766306i | \(-0.277907\pi\) |
−0.604129 | + | 0.796887i | \(0.706479\pi\) | |||||||
\(884\) | 960.694 | − | 603.644i | 1.08676 | − | 0.682855i | ||||
\(885\) | 31.1314 | + | 49.5454i | 0.0351768 | + | 0.0559835i | ||||
\(886\) | −91.4986 | + | 114.736i | −0.103272 | + | 0.129498i | ||||
\(887\) | −235.123 | − | 235.123i | −0.265076 | − | 0.265076i | 0.562036 | − | 0.827113i | \(-0.310018\pi\) |
−0.827113 | + | 0.562036i | \(0.810018\pi\) | |||||||
\(888\) | −10.3136 | − | 91.5355i | −0.0116144 | − | 0.103081i | ||||
\(889\) | 87.8570 | + | 30.7425i | 0.0988268 | + | 0.0345810i | ||||
\(890\) | −150.355 | − | 188.539i | −0.168938 | − | 0.211842i | ||||
\(891\) | 12.5860 | − | 111.704i | 0.0141257 | − | 0.125369i | ||||
\(892\) | −164.192 | + | 340.949i | −0.184072 | + | 0.382229i | ||||
\(893\) | −5.40790 | + | 23.6936i | −0.00605588 | + | 0.0265326i | ||||
\(894\) | 11.1009 | + | 48.6361i | 0.0124171 | + | 0.0544028i | ||||
\(895\) | 675.297 | − | 325.206i | 0.754521 | − | 0.363358i | ||||
\(896\) | −1380.00 | + | 482.881i | −1.54017 | + | 0.538930i | ||||
\(897\) | −48.4423 | − | 30.4383i | −0.0540048 | − | 0.0339335i | ||||
\(898\) | − | 376.959i | − | 0.419777i | ||||||
\(899\) | −100.317 | − | 418.020i | −0.111587 | − | 0.464983i | ||||
\(900\) | −179.116 | −0.199018 | ||||||||
\(901\) | 518.287 | − | 824.850i | 0.575236 | − | 0.915482i | ||||
\(902\) | 28.1842 | + | 80.5458i | 0.0312463 | + | 0.0892969i | ||||
\(903\) | 175.602 | + | 364.640i | 0.194465 | + | 0.403810i | ||||
\(904\) | −143.667 | + | 32.7910i | −0.158923 | + | 0.0362732i | ||||
\(905\) | −408.685 | − | 93.2797i | −0.451586 | − | 0.103071i | ||||
\(906\) | −17.7712 | − | 8.55815i | −0.0196150 | − | 0.00944608i | ||||
\(907\) | −1313.77 | − | 148.026i | −1.44847 | − | 0.163204i | −0.647574 | − | 0.762003i | \(-0.724216\pi\) |
−0.800899 | + | 0.598799i | \(0.795645\pi\) | |||||||
\(908\) | −587.848 | + | 468.793i | −0.647409 | + | 0.516292i | ||||
\(909\) | 241.312 | − | 689.630i | 0.265470 | − | 0.758669i | ||||
\(910\) | −590.950 | + | 66.5841i | −0.649396 | + | 0.0731693i | ||||
\(911\) | −508.410 | + | 508.410i | −0.558079 | + | 0.558079i | −0.928760 | − | 0.370681i | \(-0.879124\pi\) |
0.370681 | + | 0.928760i | \(0.379124\pi\) | |||||||
\(912\) | −1.67976 | − | 1.33957i | −0.00184184 | − | 0.00146882i | ||||
\(913\) | −1.62795 | + | 1.02291i | −0.00178307 | + | 0.00112038i | ||||
\(914\) | 21.9028 | + | 34.8581i | 0.0239637 | + | 0.0381380i | ||||
\(915\) | −110.535 | + | 138.607i | −0.120804 | + | 0.151483i | ||||
\(916\) | −480.650 | − | 480.650i | −0.524727 | − | 0.524727i | ||||
\(917\) | −303.042 | − | 2689.57i | −0.330471 | − | 2.93301i | ||||
\(918\) | −189.855 | − | 66.4330i | −0.206813 | − | 0.0723671i | ||||
\(919\) | −898.576 | − | 1126.78i | −0.977776 | − | 1.22609i | −0.974104 | − | 0.226098i | \(-0.927403\pi\) |
−0.00367108 | − | 0.999993i | \(-0.501169\pi\) | |||||||
\(920\) | −20.7659 | + | 184.302i | −0.0225716 | + | 0.200328i | ||||
\(921\) | −45.6140 | + | 94.7185i | −0.0495266 | + | 0.102843i | ||||
\(922\) | −106.577 | + | 466.946i | −0.115594 | + | 0.506449i | ||||
\(923\) | 225.457 | + | 987.792i | 0.244266 | + | 1.07020i | ||||
\(924\) | 29.3299 | − | 14.1245i | 0.0317423 | − | 0.0152863i | ||||
\(925\) | −156.698 | + | 54.8312i | −0.169404 | + | 0.0592769i | ||||
\(926\) | −35.8071 | − | 22.4991i | −0.0386686 | − | 0.0242971i | ||||
\(927\) | − | 422.899i | − | 0.456202i | ||||||
\(928\) | 822.282 | + | 384.778i | 0.886080 | + | 0.414631i | ||||
\(929\) | 905.489 | 0.974692 | 0.487346 | − | 0.873209i | \(-0.337965\pi\) | ||||
0.487346 | + | 0.873209i | \(0.337965\pi\) | |||||||
\(930\) | 16.2996 | − | 25.9407i | 0.0175265 | − | 0.0278932i | ||||
\(931\) | 12.2078 | + | 34.8879i | 0.0131126 | + | 0.0374736i | ||||
\(932\) | 265.772 | + | 551.881i | 0.285163 | + | 0.592147i | ||||
\(933\) | −277.913 | + | 63.4319i | −0.297871 | + | 0.0679871i | ||||
\(934\) | 154.277 | + | 35.2128i | 0.165179 | + | 0.0377010i | ||||
\(935\) | 144.129 | + | 69.4091i | 0.154149 | + | 0.0742343i | ||||
\(936\) | 767.424 | + | 86.4679i | 0.819897 | + | 0.0923803i | ||||
\(937\) | 873.708 | − | 696.759i | 0.932453 | − | 0.743606i | −0.0342755 | − | 0.999412i | \(-0.510912\pi\) |
0.966728 | + | 0.255806i | \(0.0823409\pi\) | |||||||
\(938\) | 360.238 | − | 1029.50i | 0.384049 | − | 1.09755i | ||||
\(939\) | −93.4496 | + | 10.5292i | −0.0995203 | + | 0.0112132i | ||||
\(940\) | −514.440 | + | 514.440i | −0.547277 | + | 0.547277i | ||||
\(941\) | 1101.42 | + | 878.352i | 1.17048 | + | 0.933424i | 0.998662 | − | 0.0517051i | \(-0.0164656\pi\) |
0.171815 | + | 0.985129i | \(0.445037\pi\) | |||||||
\(942\) | 33.1407 | − | 20.8237i | 0.0351812 | − | 0.0221058i | ||||
\(943\) | −242.035 | − | 385.196i | −0.256664 | − | 0.408479i | ||||
\(944\) | −118.704 | + | 148.850i | −0.125746 | + | 0.157680i | ||||
\(945\) | −345.004 | − | 345.004i | −0.365083 | − | 0.365083i | ||||
\(946\) | −9.29548 | − | 82.4997i | −0.00982609 | − | 0.0872090i | ||||
\(947\) | 75.4551 | + | 26.4029i | 0.0796780 | + | 0.0278805i | 0.369824 | − | 0.929102i | \(-0.379418\pi\) |
−0.290146 | + | 0.956982i | \(0.593704\pi\) | |||||||
\(948\) | 134.122 | + | 168.184i | 0.141479 | + | 0.177409i | ||||
\(949\) | −132.789 | + | 1178.54i | −0.139925 | + | 1.24187i | ||||
\(950\) | 1.09123 | − | 2.26597i | 0.00114867 | − | 0.00238523i | ||||
\(951\) | −2.39538 | + | 10.4948i | −0.00251880 | + | 0.0110356i | ||||
\(952\) | 366.727 | + | 1606.74i | 0.385218 | + | 1.68775i | ||||
\(953\) | 1340.84 | − | 645.717i | 1.40697 | − | 0.677562i | 0.432409 | − | 0.901677i | \(-0.357664\pi\) |
0.974563 | + | 0.224115i | \(0.0719492\pi\) | |||||||
\(954\) | 282.421 | − | 98.8235i | 0.296039 | − | 0.103589i | ||||
\(955\) | −1311.74 | − | 824.220i | −1.37355 | − | 0.863058i | ||||
\(956\) | 528.599i | 0.552927i | ||||||||
\(957\) | −24.1561 | − | 8.15203i | −0.0252415 | − | 0.00851832i | ||||
\(958\) | −24.8199 | −0.0259081 | ||||||||
\(959\) | −243.428 | + | 387.414i | −0.253835 | + | 0.403977i | ||||
\(960\) | −4.46379 | − | 12.7568i | −0.00464978 | − | 0.0132883i | ||||
\(961\) | 321.619 | + | 667.849i | 0.334671 | + | 0.694952i | ||||
\(962\) | 314.901 | − | 71.8740i | 0.327340 | − | 0.0747131i | ||||
\(963\) | 1134.97 | + | 259.049i | 1.17857 | + | 0.269002i | ||||
\(964\) | −577.078 | − | 277.906i | −0.598628 | − | 0.288284i | ||||
\(965\) | −1280.29 | − | 144.254i | −1.32673 | − | 0.149486i | ||||
\(966\) | 29.3184 | − | 23.3806i | 0.0303503 | − | 0.0242036i | ||||
\(967\) | −478.230 | + | 1366.70i | −0.494550 | + | 1.41334i | 0.378449 | + | 0.925622i | \(0.376458\pi\) |
−0.872999 | + | 0.487721i | \(0.837828\pi\) | |||||||
\(968\) | 724.192 | − | 81.5968i | 0.748132 | − | 0.0842943i | ||||
\(969\) | −4.53732 | + | 4.53732i | −0.00468248 | + | 0.00468248i | ||||
\(970\) | −224.586 | − | 179.102i | −0.231532 | − | 0.184641i | ||||
\(971\) | −293.082 | + | 184.155i | −0.301835 | + | 0.189655i | −0.674430 | − | 0.738338i | \(-0.735611\pi\) |
0.372596 | + | 0.927994i | \(0.378468\pi\) | |||||||
\(972\) | 229.555 | + | 365.335i | 0.236168 | + | 0.375859i | ||||
\(973\) | 391.994 | − | 491.545i | 0.402871 | − | 0.505185i | ||||
\(974\) | 106.529 | + | 106.529i | 0.109373 | + | 0.109373i | ||||
\(975\) | 5.76255 | + | 51.1440i | 0.00591031 | + | 0.0524554i | ||||
\(976\) | −544.459 | − | 190.514i | −0.557847 | − | 0.195199i | ||||
\(977\) | −760.252 | − | 953.326i | −0.778150 | − | 0.975769i | −1.00000 | 0.000687874i | \(-0.999781\pi\) | |
0.221850 | − | 0.975081i | \(-0.428790\pi\) | |||||||
\(978\) | 0.0613246 | − | 0.544271i | 6.27041e−5 | − | 0.000556514i | ||||
\(979\) | −44.5072 | + | 92.4201i | −0.0454619 | + | 0.0944026i | ||||
\(980\) | −246.218 | + | 1078.75i | −0.251243 | + | 1.10077i | ||||
\(981\) | −39.2537 | − | 171.982i | −0.0400140 | − | 0.175313i | ||||
\(982\) | −286.767 | + | 138.100i | −0.292024 | + | 0.140631i | ||||
\(983\) | −604.833 | + | 211.640i | −0.615293 | + | 0.215300i | −0.619889 | − | 0.784689i | \(-0.712823\pi\) |
0.00459679 | + | 0.999989i | \(0.498537\pi\) | |||||||
\(984\) | −192.272 | − | 120.812i | −0.195398 | − | 0.122777i | ||||
\(985\) | 601.561i | 0.610722i | ||||||||
\(986\) | 304.358 | − | 496.564i | 0.308679 | − | 0.503615i | ||||
\(987\) | 325.981 | 0.330275 | ||||||||
\(988\) | 12.0483 | − | 19.1748i | 0.0121946 | − | 0.0194076i | ||||
\(989\) | 146.180 | + | 417.758i | 0.147806 | + | 0.422405i | ||||
\(990\) | 21.3188 | + | 44.2690i | 0.0215341 | + | 0.0447161i | ||||
\(991\) | 1109.88 | − | 253.324i | 1.11996 | − | 0.255624i | 0.377829 | − | 0.925876i | \(-0.376671\pi\) |
0.742134 | + | 0.670251i | \(0.233814\pi\) | |||||||
\(992\) | 452.428 | + | 103.264i | 0.456076 | + | 0.104096i | ||||
\(993\) | −24.5911 | − | 11.8425i | −0.0247645 | − | 0.0119260i | ||||
\(994\) | −659.930 | − | 74.3562i | −0.663913 | − | 0.0748051i | ||||
\(995\) | 39.1587 | − | 31.2280i | 0.0393554 | − | 0.0313849i | ||||
\(996\) | 0.762505 | − | 2.17912i | 0.000765568 | − | 0.00218787i | ||||
\(997\) | 760.354 | − | 85.6713i | 0.762642 | − | 0.0859291i | 0.277928 | − | 0.960602i | \(-0.410352\pi\) |
0.484714 | + | 0.874673i | \(0.338924\pi\) | |||||||
\(998\) | 351.621 | − | 351.621i | 0.352326 | − | 0.352326i | ||||
\(999\) | 207.187 | + | 165.226i | 0.207395 | + | 0.165392i |
(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 | 29.3.f.a.26.2 | yes | 48 | |
3.2 | odd | 2 | 261.3.s.a.55.3 | 48 | |||
29.19 | odd | 28 | inner | 29.3.f.a.19.2 | ✓ | 48 | |
87.77 | even | 28 | 261.3.s.a.19.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.3.f.a.19.2 | ✓ | 48 | 29.19 | odd | 28 | inner | |
29.3.f.a.26.2 | yes | 48 | 1.1 | even | 1 | trivial | |
261.3.s.a.19.3 | 48 | 87.77 | even | 28 | |||
261.3.s.a.55.3 | 48 | 3.2 | odd | 2 |