Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(29,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.y (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(128\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.14 | ||
Character | \(\chi\) | \(=\) | 930.29 |
Dual form | 930.2.y.a.449.14 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | − | 0.587785i | −0.572061 | − | 0.415627i | ||||
\(3\) | −0.292097 | + | 1.70724i | −0.168642 | + | 0.985677i | ||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 1.90023 | + | 1.17861i | 0.849808 | + | 0.527092i | ||||
\(6\) | 1.23980 | − | 1.20950i | 0.506148 | − | 0.493776i | ||||
\(7\) | −0.119229 | + | 0.0387399i | −0.0450644 | + | 0.0146423i | −0.331462 | − | 0.943468i | \(-0.607542\pi\) |
0.286398 | + | 0.958111i | \(0.407542\pi\) | |||||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | −2.82936 | − | 0.997360i | −0.943120 | − | 0.332453i | ||||
\(10\) | −0.844545 | − | 2.07045i | −0.267069 | − | 0.654732i | ||||
\(11\) | 1.05453 | + | 3.24551i | 0.317953 | + | 0.978558i | 0.974522 | + | 0.224292i | \(0.0720070\pi\) |
−0.656569 | + | 0.754266i | \(0.727993\pi\) | |||||||
\(12\) | −1.71395 | + | 0.249767i | −0.494774 | + | 0.0721014i | ||||
\(13\) | −3.34015 | + | 2.42676i | −0.926391 | + | 0.673062i | −0.945106 | − | 0.326763i | \(-0.894042\pi\) |
0.0187159 | + | 0.999825i | \(0.494042\pi\) | |||||||
\(14\) | 0.119229 | + | 0.0387399i | 0.0318653 | + | 0.0103537i | ||||
\(15\) | −2.56723 | + | 2.89988i | −0.662856 | + | 0.748747i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | −4.56824 | − | 1.48431i | −1.10796 | − | 0.359998i | −0.302799 | − | 0.953054i | \(-0.597921\pi\) |
−0.805161 | + | 0.593056i | \(0.797921\pi\) | |||||||
\(18\) | 1.70277 | + | 2.46994i | 0.401346 | + | 0.582170i | ||||
\(19\) | 3.03247 | + | 2.20322i | 0.695697 | + | 0.505453i | 0.878528 | − | 0.477691i | \(-0.158526\pi\) |
−0.182831 | + | 0.983144i | \(0.558526\pi\) | |||||||
\(20\) | −0.533725 | + | 2.17144i | −0.119345 | + | 0.485548i | ||||
\(21\) | −0.0313120 | − | 0.214869i | −0.00683284 | − | 0.0468883i | ||||
\(22\) | 1.05453 | − | 3.24551i | 0.224827 | − | 0.691945i | ||||
\(23\) | −6.00314 | − | 1.95054i | −1.25174 | − | 0.406716i | −0.393197 | − | 0.919454i | \(-0.628631\pi\) |
−0.858545 | + | 0.512738i | \(0.828631\pi\) | |||||||
\(24\) | 1.53342 | + | 0.805368i | 0.313008 | + | 0.164395i | ||||
\(25\) | 2.22174 | + | 4.47927i | 0.444348 | + | 0.895854i | ||||
\(26\) | 4.12865 | 0.809695 | ||||||||
\(27\) | 2.52918 | − | 4.53908i | 0.486742 | − | 0.873546i | ||||
\(28\) | −0.0736877 | − | 0.101422i | −0.0139257 | − | 0.0191670i | ||||
\(29\) | −0.325986 | − | 0.236843i | −0.0605341 | − | 0.0439806i | 0.557107 | − | 0.830441i | \(-0.311911\pi\) |
−0.617641 | + | 0.786460i | \(0.711911\pi\) | |||||||
\(30\) | 3.78144 | − | 0.837074i | 0.690394 | − | 0.152828i | ||||
\(31\) | 4.97345 | + | 2.50296i | 0.893257 | + | 0.449546i | ||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −5.84890 | + | 0.852336i | −1.01816 | + | 0.148373i | ||||
\(34\) | 2.82333 | + | 3.88597i | 0.484196 | + | 0.666439i | ||||
\(35\) | −0.272222 | − | 0.0669105i | −0.0460139 | − | 0.0113099i | ||||
\(36\) | 0.0742262 | − | 2.99908i | 0.0123710 | − | 0.499847i | ||||
\(37\) | 1.75312 | 0.288211 | 0.144105 | − | 0.989562i | \(-0.453970\pi\) | ||||
0.144105 | + | 0.989562i | \(0.453970\pi\) | |||||||
\(38\) | −1.15830 | − | 3.56488i | −0.187901 | − | 0.578301i | ||||
\(39\) | −3.16742 | − | 6.41130i | −0.507194 | − | 1.02663i | ||||
\(40\) | 1.70813 | − | 1.44301i | 0.270079 | − | 0.228160i | ||||
\(41\) | −0.315142 | + | 0.433756i | −0.0492169 | + | 0.0677412i | −0.832916 | − | 0.553399i | \(-0.813330\pi\) |
0.783699 | + | 0.621141i | \(0.213330\pi\) | |||||||
\(42\) | −0.100965 | + | 0.192237i | −0.0155792 | + | 0.0296629i | ||||
\(43\) | 0.245652 | + | 0.178476i | 0.0374615 | + | 0.0272174i | 0.606358 | − | 0.795191i | \(-0.292630\pi\) |
−0.568897 | + | 0.822409i | \(0.692630\pi\) | |||||||
\(44\) | −2.76080 | + | 2.00584i | −0.416206 | + | 0.302391i | ||||
\(45\) | −4.20093 | − | 5.22993i | −0.626237 | − | 0.779633i | ||||
\(46\) | 3.71015 | + | 5.10658i | 0.547031 | + | 0.752924i | ||||
\(47\) | 0.109494 | − | 0.0795523i | 0.0159714 | − | 0.0116039i | −0.579771 | − | 0.814780i | \(-0.696858\pi\) |
0.595742 | + | 0.803176i | \(0.296858\pi\) | |||||||
\(48\) | −0.767181 | − | 1.55288i | −0.110733 | − | 0.224139i | ||||
\(49\) | −5.65040 | + | 4.10526i | −0.807201 | + | 0.586466i | ||||
\(50\) | 0.835426 | − | 4.92971i | 0.118147 | − | 0.697167i | ||||
\(51\) | 3.86845 | − | 7.36553i | 0.541691 | − | 1.03138i | ||||
\(52\) | −3.34015 | − | 2.42676i | −0.463195 | − | 0.336531i | ||||
\(53\) | −1.38901 | − | 0.451317i | −0.190795 | − | 0.0619932i | 0.212061 | − | 0.977256i | \(-0.431983\pi\) |
−0.402856 | + | 0.915263i | \(0.631983\pi\) | |||||||
\(54\) | −4.71416 | + | 2.18557i | −0.641515 | + | 0.297419i | ||||
\(55\) | −1.82135 | + | 7.41010i | −0.245591 | + | 0.999177i | ||||
\(56\) | 0.125365i | 0.0167526i | ||||||||
\(57\) | −4.64721 | + | 4.53361i | −0.615538 | + | 0.600492i | ||||
\(58\) | 0.124516 | + | 0.383220i | 0.0163497 | + | 0.0503192i | ||||
\(59\) | −7.96025 | − | 10.9563i | −1.03634 | − | 1.42639i | −0.900082 | − | 0.435720i | \(-0.856494\pi\) |
−0.136254 | − | 0.990674i | \(-0.543506\pi\) | |||||||
\(60\) | −3.55127 | − | 1.54547i | −0.458467 | − | 0.199519i | ||||
\(61\) | 5.88769i | 0.753842i | 0.926245 | + | 0.376921i | \(0.123017\pi\) | ||||
−0.926245 | + | 0.376921i | \(0.876983\pi\) | |||||||
\(62\) | −2.55240 | − | 4.94826i | −0.324155 | − | 0.628430i | ||||
\(63\) | 0.375980 | + | 0.00930537i | 0.0473690 | + | 0.00117237i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −9.20726 | + | 0.674653i | −1.14202 | + | 0.0836805i | ||||
\(66\) | 5.23285 | + | 2.74834i | 0.644119 | + | 0.338298i | ||||
\(67\) | − | 3.17378i | − | 0.387739i | −0.981027 | − | 0.193870i | \(-0.937896\pi\) | ||
0.981027 | − | 0.193870i | \(-0.0621039\pi\) | |||||||
\(68\) | − | 4.80333i | − | 0.582489i | ||||||
\(69\) | 5.08354 | − | 9.67908i | 0.611987 | − | 1.16522i | ||||
\(70\) | 0.180903 | + | 0.214140i | 0.0216221 | + | 0.0255946i | ||||
\(71\) | −10.8805 | − | 3.53528i | −1.29127 | − | 0.419560i | −0.418736 | − | 0.908108i | \(-0.637527\pi\) |
−0.872537 | + | 0.488548i | \(0.837527\pi\) | |||||||
\(72\) | −1.82287 | + | 2.38268i | −0.214827 | + | 0.280801i | ||||
\(73\) | 1.96148 | + | 6.03683i | 0.229574 | + | 0.706557i | 0.997795 | + | 0.0663718i | \(0.0211424\pi\) |
−0.768221 | + | 0.640185i | \(0.778858\pi\) | |||||||
\(74\) | −1.41830 | − | 1.03046i | −0.164874 | − | 0.119788i | ||||
\(75\) | −8.29617 | + | 2.48467i | −0.957959 | + | 0.286905i | ||||
\(76\) | −1.15830 | + | 3.56488i | −0.132866 | + | 0.408920i | ||||
\(77\) | −0.251462 | − | 0.346107i | −0.0286567 | − | 0.0394426i | ||||
\(78\) | −1.20597 | + | 7.04861i | −0.136549 | + | 0.798098i | ||||
\(79\) | 5.76977 | + | 1.87471i | 0.649150 | + | 0.210922i | 0.615039 | − | 0.788496i | \(-0.289140\pi\) |
0.0341106 | + | 0.999418i | \(0.489140\pi\) | |||||||
\(80\) | −2.23009 | + | 0.163408i | −0.249332 | + | 0.0182695i | ||||
\(81\) | 7.01054 | + | 5.64378i | 0.778949 | + | 0.627087i | ||||
\(82\) | 0.509910 | − | 0.165680i | 0.0563102 | − | 0.0182963i | ||||
\(83\) | −4.36542 | + | 6.00849i | −0.479167 | + | 0.659517i | −0.978345 | − | 0.206983i | \(-0.933636\pi\) |
0.499177 | + | 0.866500i | \(0.333636\pi\) | |||||||
\(84\) | 0.194677 | − | 0.0961776i | 0.0212410 | − | 0.0104938i | ||||
\(85\) | −6.93127 | − | 8.20472i | −0.751801 | − | 0.889926i | ||||
\(86\) | −0.0938306 | − | 0.288781i | −0.0101180 | − | 0.0311401i | ||||
\(87\) | 0.499568 | − | 0.487357i | 0.0535593 | − | 0.0522501i | ||||
\(88\) | 3.41253 | 0.363777 | ||||||||
\(89\) | 4.72369 | + | 14.5380i | 0.500710 | + | 1.54103i | 0.807865 | + | 0.589367i | \(0.200623\pi\) |
−0.307156 | + | 0.951659i | \(0.599377\pi\) | |||||||
\(90\) | 0.324542 | + | 6.70035i | 0.0342097 | + | 0.706279i | ||||
\(91\) | 0.304231 | − | 0.418738i | 0.0318920 | − | 0.0438956i | ||||
\(92\) | − | 6.31208i | − | 0.658080i | ||||||
\(93\) | −5.72590 | + | 7.75977i | −0.593748 | + | 0.804651i | ||||
\(94\) | −0.135342 | −0.0139595 | ||||||||
\(95\) | 3.16564 | + | 7.76073i | 0.324788 | + | 0.796235i | ||||
\(96\) | −0.292097 | + | 1.70724i | −0.0298120 | + | 0.174245i | ||||
\(97\) | −5.65197 | + | 1.83644i | −0.573870 | + | 0.186462i | −0.581553 | − | 0.813509i | \(-0.697555\pi\) |
0.00768244 | + | 0.999970i | \(0.497555\pi\) | |||||||
\(98\) | 6.98428 | 0.705519 | ||||||||
\(99\) | 0.253299 | − | 10.2345i | 0.0254575 | − | 1.02860i | ||||
\(100\) | −3.57349 | + | 3.49717i | −0.357349 | + | 0.349717i | ||||
\(101\) | 3.41130 | + | 1.10840i | 0.339437 | + | 0.110290i | 0.473775 | − | 0.880646i | \(-0.342891\pi\) |
−0.134338 | + | 0.990936i | \(0.542891\pi\) | |||||||
\(102\) | −7.45899 | + | 3.68502i | −0.738550 | + | 0.364872i | ||||
\(103\) | −4.76167 | + | 6.55387i | −0.469181 | + | 0.645772i | −0.976381 | − | 0.216056i | \(-0.930681\pi\) |
0.507200 | + | 0.861828i | \(0.330681\pi\) | |||||||
\(104\) | 1.27582 | + | 3.92658i | 0.125105 | + | 0.385033i | ||||
\(105\) | 0.193748 | − | 0.445205i | 0.0189078 | − | 0.0434476i | ||||
\(106\) | 0.858456 | + | 1.18156i | 0.0833806 | + | 0.114764i | ||||
\(107\) | −1.01329 | + | 3.11860i | −0.0979588 | + | 0.301486i | −0.988013 | − | 0.154368i | \(-0.950666\pi\) |
0.890055 | + | 0.455854i | \(0.150666\pi\) | |||||||
\(108\) | 5.09848 | + | 1.00274i | 0.490602 | + | 0.0964891i | ||||
\(109\) | −1.78954 | + | 1.30018i | −0.171407 | + | 0.124535i | −0.670181 | − | 0.742197i | \(-0.733784\pi\) |
0.498774 | + | 0.866732i | \(0.333784\pi\) | |||||||
\(110\) | 5.82905 | − | 4.92433i | 0.555778 | − | 0.469516i | ||||
\(111\) | −0.512080 | + | 2.99300i | −0.0486045 | + | 0.284083i | ||||
\(112\) | 0.0736877 | − | 0.101422i | 0.00696283 | − | 0.00958352i | ||||
\(113\) | −0.808255 | − | 2.48755i | −0.0760342 | − | 0.234009i | 0.905815 | − | 0.423674i | \(-0.139260\pi\) |
−0.981849 | + | 0.189665i | \(0.939260\pi\) | |||||||
\(114\) | 6.42446 | − | 0.936211i | 0.601706 | − | 0.0876842i | ||||
\(115\) | −9.10841 | − | 10.7819i | −0.849364 | − | 1.00541i | ||||
\(116\) | 0.124516 | − | 0.383220i | 0.0115610 | − | 0.0355811i | ||||
\(117\) | 11.8708 | − | 3.53484i | 1.09746 | − | 0.326796i | ||||
\(118\) | 13.5428i | 1.24671i | ||||||||
\(119\) | 0.602169 | 0.0552008 | ||||||||
\(120\) | 1.96463 | + | 3.33770i | 0.179346 | + | 0.304689i | ||||
\(121\) | −0.522114 | + | 0.379338i | −0.0474649 | + | 0.0344853i | ||||
\(122\) | 3.46070 | − | 4.76324i | 0.313317 | − | 0.431244i | ||||
\(123\) | −0.648474 | − | 0.664722i | −0.0584710 | − | 0.0599360i | ||||
\(124\) | −0.843581 | + | 5.50349i | −0.0757558 | + | 0.494228i | ||||
\(125\) | −1.05752 | + | 11.1302i | −0.0945876 | + | 0.995517i | ||||
\(126\) | −0.298704 | − | 0.228524i | −0.0266107 | − | 0.0203585i | ||||
\(127\) | 14.8428 | − | 10.7839i | 1.31708 | − | 0.956918i | 0.317121 | − | 0.948385i | \(-0.397284\pi\) |
0.999964 | − | 0.00853271i | \(-0.00271608\pi\) | |||||||
\(128\) | 0.309017 | + | 0.951057i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | −0.376457 | + | 0.367255i | −0.0331452 | + | 0.0323350i | ||||
\(130\) | 7.84538 | + | 4.86609i | 0.688085 | + | 0.426784i | ||||
\(131\) | 8.11609 | − | 2.63708i | 0.709106 | − | 0.230403i | 0.0678125 | − | 0.997698i | \(-0.478398\pi\) |
0.641294 | + | 0.767296i | \(0.278398\pi\) | |||||||
\(132\) | −2.61803 | − | 5.29925i | −0.227870 | − | 0.461240i | ||||
\(133\) | −0.446912 | − | 0.145210i | −0.0387522 | − | 0.0125913i | ||||
\(134\) | −1.86550 | + | 2.56765i | −0.161155 | + | 0.221811i | ||||
\(135\) | 10.1558 | − | 5.64436i | 0.874076 | − | 0.485789i | ||||
\(136\) | −2.82333 | + | 3.88597i | −0.242098 | + | 0.333220i | ||||
\(137\) | 12.4740 | + | 17.1689i | 1.06572 | + | 1.46684i | 0.874333 | + | 0.485326i | \(0.161299\pi\) |
0.191389 | + | 0.981514i | \(0.438701\pi\) | |||||||
\(138\) | −9.80190 | + | 4.84251i | −0.834393 | + | 0.412222i | ||||
\(139\) | −11.4813 | − | 15.8027i | −0.973833 | − | 1.34037i | −0.940087 | − | 0.340936i | \(-0.889256\pi\) |
−0.0337462 | − | 0.999430i | \(-0.510744\pi\) | |||||||
\(140\) | −0.0204856 | − | 0.279575i | −0.00173135 | − | 0.0236284i | ||||
\(141\) | 0.103832 | + | 0.210170i | 0.00874425 | + | 0.0176995i | ||||
\(142\) | 6.72449 | + | 9.25547i | 0.564307 | + | 0.776702i | ||||
\(143\) | −11.3984 | − | 8.28139i | −0.953179 | − | 0.692525i | ||||
\(144\) | 2.87523 | − | 0.856174i | 0.239603 | − | 0.0713478i | ||||
\(145\) | −0.340302 | − | 0.834268i | −0.0282606 | − | 0.0692822i | ||||
\(146\) | 1.96148 | − | 6.03683i | 0.162334 | − | 0.499611i | ||||
\(147\) | −5.35821 | − | 10.8457i | −0.441938 | − | 0.894542i | ||||
\(148\) | 0.541743 | + | 1.66731i | 0.0445310 | + | 0.137052i | ||||
\(149\) | 0.866915i | 0.0710205i | 0.999369 | + | 0.0355102i | \(0.0113056\pi\) | ||||
−0.999369 | + | 0.0355102i | \(0.988694\pi\) | |||||||
\(150\) | 8.17219 | + | 2.86623i | 0.667257 | + | 0.234027i | ||||
\(151\) | −0.869037 | + | 0.282367i | −0.0707212 | + | 0.0229787i | −0.344164 | − | 0.938910i | \(-0.611838\pi\) |
0.273443 | + | 0.961888i | \(0.411838\pi\) | |||||||
\(152\) | 3.03247 | − | 2.20322i | 0.245966 | − | 0.178705i | ||||
\(153\) | 11.4448 | + | 8.75583i | 0.925256 | + | 0.707867i | ||||
\(154\) | 0.427812i | 0.0344741i | ||||||||
\(155\) | 6.50066 | + | 10.6180i | 0.522145 | + | 0.852857i | ||||
\(156\) | 5.11872 | − | 4.99360i | 0.409825 | − | 0.399808i | ||||
\(157\) | 1.54721 | − | 2.12956i | 0.123481 | − | 0.169957i | −0.742801 | − | 0.669512i | \(-0.766503\pi\) |
0.866282 | + | 0.499555i | \(0.166503\pi\) | |||||||
\(158\) | −3.56591 | − | 4.90806i | −0.283689 | − | 0.390464i | ||||
\(159\) | 1.17623 | − | 2.23955i | 0.0932814 | − | 0.177608i | ||||
\(160\) | 1.90023 | + | 1.17861i | 0.150226 | + | 0.0931776i | ||||
\(161\) | 0.791314 | 0.0623643 | ||||||||
\(162\) | −2.35432 | − | 8.68661i | −0.184973 | − | 0.682485i | ||||
\(163\) | 11.7896 | + | 3.83068i | 0.923434 | + | 0.300042i | 0.731875 | − | 0.681439i | \(-0.238646\pi\) |
0.191559 | + | 0.981481i | \(0.438646\pi\) | |||||||
\(164\) | −0.509910 | − | 0.165680i | −0.0398173 | − | 0.0129374i | ||||
\(165\) | −12.1188 | − | 5.27396i | −0.943449 | − | 0.410577i | ||||
\(166\) | 7.06340 | − | 2.29504i | 0.548226 | − | 0.178129i | ||||
\(167\) | −2.83695 | + | 3.90473i | −0.219530 | + | 0.302157i | −0.904550 | − | 0.426367i | \(-0.859793\pi\) |
0.685020 | + | 0.728524i | \(0.259793\pi\) | |||||||
\(168\) | −0.214028 | − | 0.0366187i | −0.0165127 | − | 0.00282519i | ||||
\(169\) | 1.25021 | − | 3.84774i | 0.0961698 | − | 0.295980i | ||||
\(170\) | 0.784901 | + | 10.7119i | 0.0601992 | + | 0.821562i | ||||
\(171\) | −6.38255 | − | 9.25817i | −0.488086 | − | 0.707990i | ||||
\(172\) | −0.0938306 | + | 0.288781i | −0.00715452 | + | 0.0220193i | ||||
\(173\) | 18.4436 | − | 13.4000i | 1.40224 | − | 1.01879i | 0.407845 | − | 0.913051i | \(-0.366280\pi\) |
0.994394 | − | 0.105736i | \(-0.0337198\pi\) | |||||||
\(174\) | −0.690620 | + | 0.100641i | −0.0523558 | + | 0.00762959i | ||||
\(175\) | −0.438423 | − | 0.447990i | −0.0331416 | − | 0.0338649i | ||||
\(176\) | −2.76080 | − | 2.00584i | −0.208103 | − | 0.151196i | ||||
\(177\) | 21.0303 | − | 10.3898i | 1.58073 | − | 0.780943i | ||||
\(178\) | 4.72369 | − | 14.5380i | 0.354055 | − | 1.08967i | ||||
\(179\) | 0.308395 | + | 0.949142i | 0.0230505 | + | 0.0709422i | 0.961920 | − | 0.273331i | \(-0.0881254\pi\) |
−0.938870 | + | 0.344273i | \(0.888125\pi\) | |||||||
\(180\) | 3.67581 | − | 5.61146i | 0.273978 | − | 0.418253i | ||||
\(181\) | 10.4778i | 0.778810i | 0.921067 | + | 0.389405i | \(0.127319\pi\) | ||||
−0.921067 | + | 0.389405i | \(0.872681\pi\) | |||||||
\(182\) | −0.492256 | + | 0.159944i | −0.0364884 | + | 0.0118558i | ||||
\(183\) | −10.0517 | − | 1.71978i | −0.743045 | − | 0.127129i | ||||
\(184\) | −3.71015 | + | 5.10658i | −0.273516 | + | 0.376462i | ||||
\(185\) | 3.33132 | + | 2.06625i | 0.244924 | + | 0.151914i | ||||
\(186\) | 9.19343 | − | 2.91219i | 0.674095 | − | 0.213532i | ||||
\(187\) | − | 16.3915i | − | 1.19867i | ||||||
\(188\) | 0.109494 | + | 0.0795523i | 0.00798570 | + | 0.00580195i | ||||
\(189\) | −0.125709 | + | 0.639171i | −0.00914398 | + | 0.0464928i | ||||
\(190\) | 2.00059 | − | 8.13929i | 0.145138 | − | 0.590486i | ||||
\(191\) | − | 24.3398i | − | 1.76117i | −0.473890 | − | 0.880584i | \(-0.657150\pi\) | ||
0.473890 | − | 0.880584i | \(-0.342850\pi\) | |||||||
\(192\) | 1.23980 | − | 1.20950i | 0.0894751 | − | 0.0872880i | ||||
\(193\) | −1.71927 | + | 0.558626i | −0.123756 | + | 0.0402108i | −0.370240 | − | 0.928936i | \(-0.620725\pi\) |
0.246484 | + | 0.969147i | \(0.420725\pi\) | |||||||
\(194\) | 5.65197 | + | 1.83644i | 0.405788 | + | 0.131848i | ||||
\(195\) | 1.53761 | − | 15.9161i | 0.110111 | − | 1.13978i | ||||
\(196\) | −5.65040 | − | 4.10526i | −0.403600 | − | 0.293233i | ||||
\(197\) | −23.1350 | + | 7.51701i | −1.64830 | + | 0.535565i | −0.978370 | − | 0.206862i | \(-0.933675\pi\) |
−0.669928 | + | 0.742426i | \(0.733675\pi\) | |||||||
\(198\) | −6.22059 | + | 8.13097i | −0.442078 | + | 0.577843i | ||||
\(199\) | 8.80053 | + | 12.1129i | 0.623853 | + | 0.858660i | 0.997626 | − | 0.0688602i | \(-0.0219363\pi\) |
−0.373773 | + | 0.927520i | \(0.621936\pi\) | |||||||
\(200\) | 4.94660 | − | 0.728828i | 0.349777 | − | 0.0515359i | ||||
\(201\) | 5.41842 | + | 0.927052i | 0.382186 | + | 0.0653892i | ||||
\(202\) | −2.10830 | − | 2.90183i | −0.148340 | − | 0.204172i | ||||
\(203\) | 0.0480423 | + | 0.0156099i | 0.00337191 | + | 0.00109560i | ||||
\(204\) | 8.20045 | + | 1.40304i | 0.574146 | + | 0.0982322i | ||||
\(205\) | −1.11007 | + | 0.452804i | −0.0775308 | + | 0.0316252i | ||||
\(206\) | 7.70454 | − | 2.50336i | 0.536801 | − | 0.174417i | ||||
\(207\) | 15.0397 | + | 11.5061i | 1.04533 | + | 0.799728i | ||||
\(208\) | 1.27582 | − | 3.92658i | 0.0884624 | − | 0.272259i | ||||
\(209\) | −3.95274 | + | 12.1653i | −0.273417 | + | 0.841490i | ||||
\(210\) | −0.418430 | + | 0.246296i | −0.0288744 | + | 0.0169961i | ||||
\(211\) | 18.8409 | 1.29706 | 0.648532 | − | 0.761188i | \(-0.275383\pi\) | ||||
0.648532 | + | 0.761188i | \(0.275383\pi\) | |||||||
\(212\) | − | 1.46049i | − | 0.100307i | ||||||
\(213\) | 9.21372 | − | 17.5429i | 0.631314 | − | 1.20202i | ||||
\(214\) | 2.65284 | − | 1.92740i | 0.181344 | − | 0.131754i | ||||
\(215\) | 0.256440 | + | 0.628675i | 0.0174890 | + | 0.0428753i | ||||
\(216\) | −3.53536 | − | 3.80805i | −0.240551 | − | 0.259105i | ||||
\(217\) | −0.689945 | − | 0.105756i | −0.0468365 | − | 0.00717915i | ||||
\(218\) | 2.21200 | 0.149815 | ||||||||
\(219\) | −10.8793 | + | 1.58539i | −0.735153 | + | 0.107131i | ||||
\(220\) | −7.61025 | + | 0.557634i | −0.513083 | + | 0.0375957i | ||||
\(221\) | 18.8607 | − | 6.12820i | 1.26871 | − | 0.412227i | ||||
\(222\) | 2.17352 | − | 2.12039i | 0.145877 | − | 0.142311i | ||||
\(223\) | −0.382767 | −0.0256320 | −0.0128160 | − | 0.999918i | \(-0.504080\pi\) | ||||
−0.0128160 | + | 0.999918i | \(0.504080\pi\) | |||||||
\(224\) | −0.119229 | + | 0.0387399i | −0.00796633 | + | 0.00258842i | ||||
\(225\) | −1.81865 | − | 14.8893i | −0.121243 | − | 0.992623i | ||||
\(226\) | −0.808255 | + | 2.48755i | −0.0537643 | + | 0.165470i | ||||
\(227\) | 12.7303 | + | 9.24913i | 0.844942 | + | 0.613886i | 0.923747 | − | 0.383004i | \(-0.125110\pi\) |
−0.0788050 | + | 0.996890i | \(0.525110\pi\) | |||||||
\(228\) | −5.74779 | − | 3.01879i | −0.380657 | − | 0.199924i | ||||
\(229\) | −15.9220 | + | 21.9148i | −1.05216 | + | 1.44817i | −0.165233 | + | 0.986254i | \(0.552838\pi\) |
−0.886924 | + | 0.461916i | \(0.847162\pi\) | |||||||
\(230\) | 1.03144 | + | 14.0765i | 0.0680113 | + | 0.928177i | ||||
\(231\) | 0.664340 | − | 0.328209i | 0.0437104 | − | 0.0215946i | ||||
\(232\) | −0.325986 | + | 0.236843i | −0.0214020 | + | 0.0155495i | ||||
\(233\) | −2.22973 | + | 1.61999i | −0.146074 | + | 0.106129i | −0.658422 | − | 0.752649i | \(-0.728776\pi\) |
0.512348 | + | 0.858778i | \(0.328776\pi\) | |||||||
\(234\) | −11.6814 | − | 4.11775i | −0.763639 | − | 0.269186i | ||||
\(235\) | 0.301826 | − | 0.0221160i | 0.0196889 | − | 0.00144269i | ||||
\(236\) | 7.96025 | − | 10.9563i | 0.518168 | − | 0.713197i | ||||
\(237\) | −4.88592 | + | 9.30280i | −0.317375 | + | 0.604282i | ||||
\(238\) | −0.487165 | − | 0.353946i | −0.0315782 | − | 0.0229429i | ||||
\(239\) | 3.36200 | − | 10.3472i | 0.217470 | − | 0.669303i | −0.781499 | − | 0.623906i | \(-0.785545\pi\) |
0.998969 | − | 0.0453967i | \(-0.0144552\pi\) | |||||||
\(240\) | 0.372425 | − | 3.85504i | 0.0240399 | − | 0.248841i | ||||
\(241\) | −6.60124 | + | 2.14487i | −0.425223 | + | 0.138163i | −0.513808 | − | 0.857905i | \(-0.671766\pi\) |
0.0885848 | + | 0.996069i | \(0.471766\pi\) | |||||||
\(242\) | 0.645368 | 0.0414858 | ||||||||
\(243\) | −11.6831 | + | 10.3202i | −0.749469 | + | 0.662039i | ||||
\(244\) | −5.59953 | + | 1.81940i | −0.358473 | + | 0.116475i | ||||
\(245\) | −15.5756 | + | 1.14129i | −0.995087 | + | 0.0729141i | ||||
\(246\) | 0.133913 | + | 0.918935i | 0.00853796 | + | 0.0585892i | ||||
\(247\) | −15.4756 | −0.984688 | ||||||||
\(248\) | 3.91734 | − | 3.95657i | 0.248751 | − | 0.251242i | ||||
\(249\) | −8.98282 | − | 9.20790i | −0.569263 | − | 0.583527i | ||||
\(250\) | 7.39773 | − | 8.38294i | 0.467873 | − | 0.530183i | ||||
\(251\) | 12.4737 | − | 9.06266i | 0.787332 | − | 0.572030i | −0.119839 | − | 0.992793i | \(-0.538238\pi\) |
0.907170 | + | 0.420763i | \(0.138238\pi\) | |||||||
\(252\) | 0.107334 | + | 0.360454i | 0.00676142 | + | 0.0227064i | ||||
\(253\) | − | 21.5402i | − | 1.35422i | ||||||
\(254\) | −18.3467 | −1.15117 | ||||||||
\(255\) | 16.0320 | − | 9.43679i | 1.00397 | − | 0.590955i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −4.08247 | + | 12.5645i | −0.254657 | + | 0.783755i | 0.739240 | + | 0.673442i | \(0.235185\pi\) |
−0.993897 | + | 0.110312i | \(0.964815\pi\) | |||||||
\(258\) | 0.520427 | − | 0.0758397i | 0.0324004 | − | 0.00472157i | ||||
\(259\) | −0.209023 | + | 0.0679156i | −0.0129880 | + | 0.00422007i | ||||
\(260\) | −3.48683 | − | 8.54814i | −0.216244 | − | 0.530133i | ||||
\(261\) | 0.686114 | + | 0.995239i | 0.0424694 | + | 0.0616038i | ||||
\(262\) | −8.11609 | − | 2.63708i | −0.501414 | − | 0.162919i | ||||
\(263\) | 15.4752 | + | 21.2998i | 0.954241 | + | 1.31340i | 0.949618 | + | 0.313411i | \(0.101472\pi\) |
0.00462350 | + | 0.999989i | \(0.498528\pi\) | |||||||
\(264\) | −0.996789 | + | 5.82602i | −0.0613481 | + | 0.358567i | ||||
\(265\) | −2.10751 | − | 2.49471i | −0.129463 | − | 0.153249i | ||||
\(266\) | 0.276207 | + | 0.380166i | 0.0169353 | + | 0.0233095i | ||||
\(267\) | −26.1997 | + | 3.81798i | −1.60340 | + | 0.233656i | ||||
\(268\) | 3.01845 | − | 0.980753i | 0.184381 | − | 0.0599090i | ||||
\(269\) | −5.83742 | − | 4.24114i | −0.355914 | − | 0.258587i | 0.395432 | − | 0.918495i | \(-0.370595\pi\) |
−0.751346 | + | 0.659909i | \(0.770595\pi\) | |||||||
\(270\) | −11.5339 | − | 1.40308i | −0.701932 | − | 0.0853886i | ||||
\(271\) | 8.41040 | + | 2.73271i | 0.510896 | + | 0.166000i | 0.553109 | − | 0.833109i | \(-0.313441\pi\) |
−0.0422139 | + | 0.999109i | \(0.513441\pi\) | |||||||
\(272\) | 4.56824 | − | 1.48431i | 0.276990 | − | 0.0899995i | ||||
\(273\) | 0.626022 | + | 0.641708i | 0.0378886 | + | 0.0388379i | ||||
\(274\) | − | 21.2220i | − | 1.28207i | ||||||
\(275\) | −12.1946 | + | 11.9342i | −0.735364 | + | 0.719659i | ||||
\(276\) | 10.7763 | + | 1.84374i | 0.648654 | + | 0.110980i | ||||
\(277\) | 25.8100 | + | 18.7521i | 1.55077 | + | 1.12670i | 0.943097 | + | 0.332518i | \(0.107898\pi\) |
0.607676 | + | 0.794185i | \(0.292102\pi\) | |||||||
\(278\) | 19.5332i | 1.17152i | ||||||||
\(279\) | −11.5753 | − | 12.0421i | −0.692996 | − | 0.720942i | ||||
\(280\) | −0.147757 | + | 0.238222i | −0.00883016 | + | 0.0142365i | ||||
\(281\) | 13.9875 | − | 19.2521i | 0.834421 | − | 1.14848i | −0.152663 | − | 0.988278i | \(-0.548785\pi\) |
0.987084 | − | 0.160204i | \(-0.0512152\pi\) | |||||||
\(282\) | 0.0395331 | − | 0.231062i | 0.00235416 | − | 0.0137596i | ||||
\(283\) | 24.3953 | − | 7.92650i | 1.45015 | − | 0.471182i | 0.525103 | − | 0.851039i | \(-0.324027\pi\) |
0.925045 | + | 0.379857i | \(0.124027\pi\) | |||||||
\(284\) | − | 11.4404i | − | 0.678862i | ||||||
\(285\) | −14.1741 | + | 3.13764i | −0.839603 | + | 0.185858i | ||||
\(286\) | 4.35379 | + | 13.3996i | 0.257445 | + | 0.792334i | ||||
\(287\) | 0.0207705 | − | 0.0639249i | 0.00122604 | − | 0.00377337i | ||||
\(288\) | −2.82936 | − | 0.997360i | −0.166722 | − | 0.0587700i | ||||
\(289\) | 4.91232 | + | 3.56901i | 0.288960 | + | 0.209942i | ||||
\(290\) | −0.215060 | + | 0.874961i | −0.0126288 | + | 0.0513795i | ||||
\(291\) | −1.48432 | − | 10.1857i | −0.0870124 | − | 0.597096i | ||||
\(292\) | −5.13523 | + | 3.73096i | −0.300517 | + | 0.218338i | ||||
\(293\) | 4.54063 | − | 13.9746i | 0.265267 | − | 0.816407i | −0.726365 | − | 0.687309i | \(-0.758792\pi\) |
0.991632 | − | 0.129098i | \(-0.0412081\pi\) | |||||||
\(294\) | −2.04009 | + | 11.9239i | −0.118980 | + | 0.695414i | ||||
\(295\) | −2.21300 | − | 30.2016i | −0.128846 | − | 1.75841i | ||||
\(296\) | 0.541743 | − | 1.66731i | 0.0314882 | − | 0.0969107i | ||||
\(297\) | 17.3987 | + | 3.42190i | 1.00958 | + | 0.198559i | ||||
\(298\) | 0.509560 | − | 0.701349i | 0.0295180 | − | 0.0406281i | ||||
\(299\) | 24.7849 | − | 8.05310i | 1.43335 | − | 0.465723i | ||||
\(300\) | −4.92672 | − | 7.12232i | −0.284444 | − | 0.411207i | ||||
\(301\) | −0.0362030 | − | 0.0117631i | −0.00208671 | − | 0.000678012i | ||||
\(302\) | 0.869037 | + | 0.282367i | 0.0500074 | + | 0.0162484i | ||||
\(303\) | −2.88874 | + | 5.50016i | −0.165954 | + | 0.315976i | ||||
\(304\) | −3.74834 | −0.214982 | ||||||||
\(305\) | −6.93932 | + | 11.1880i | −0.397344 | + | 0.640621i | ||||
\(306\) | −4.11248 | − | 13.8107i | −0.235095 | − | 0.789505i | ||||
\(307\) | 15.0684 | + | 20.7399i | 0.860000 | + | 1.18369i | 0.981569 | + | 0.191106i | \(0.0612074\pi\) |
−0.121569 | + | 0.992583i | \(0.538793\pi\) | |||||||
\(308\) | 0.251462 | − | 0.346107i | 0.0143283 | − | 0.0197213i | ||||
\(309\) | −9.79818 | − | 10.0437i | −0.557399 | − | 0.571365i | ||||
\(310\) | 0.981949 | − | 12.4111i | 0.0557710 | − | 0.704904i | ||||
\(311\) | 12.3689i | 0.701373i | 0.936493 | + | 0.350687i | \(0.114052\pi\) | ||||
−0.936493 | + | 0.350687i | \(0.885948\pi\) | |||||||
\(312\) | −7.07629 | + | 1.03120i | −0.400616 | + | 0.0583802i | ||||
\(313\) | −6.39041 | + | 4.64290i | −0.361207 | + | 0.262432i | −0.753555 | − | 0.657384i | \(-0.771663\pi\) |
0.392348 | + | 0.919817i | \(0.371663\pi\) | |||||||
\(314\) | −2.50344 | + | 0.813418i | −0.141277 | + | 0.0459038i | ||||
\(315\) | 0.703480 | + | 0.460817i | 0.0396366 | + | 0.0259641i | ||||
\(316\) | 6.06670i | 0.341278i | ||||||||
\(317\) | −2.11650 | − | 6.51393i | −0.118875 | − | 0.365859i | 0.873861 | − | 0.486176i | \(-0.161609\pi\) |
−0.992735 | + | 0.120318i | \(0.961609\pi\) | |||||||
\(318\) | −2.26797 | + | 1.12046i | −0.127181 | + | 0.0628324i | ||||
\(319\) | 0.424914 | − | 1.30775i | 0.0237906 | − | 0.0732199i | ||||
\(320\) | −0.844545 | − | 2.07045i | −0.0472115 | − | 0.115741i | ||||
\(321\) | −5.02823 | − | 2.64087i | −0.280648 | − | 0.147399i | ||||
\(322\) | −0.640186 | − | 0.465122i | −0.0356762 | − | 0.0259203i | ||||
\(323\) | −10.5828 | − | 14.5660i | −0.588842 | − | 0.810472i | ||||
\(324\) | −3.20118 | + | 8.41145i | −0.177843 | + | 0.467303i | ||||
\(325\) | −18.2911 | − | 9.56981i | −1.01461 | − | 0.530837i | ||||
\(326\) | −7.28639 | − | 10.0288i | −0.403556 | − | 0.555447i | ||||
\(327\) | −1.69700 | − | 3.43497i | −0.0938445 | − | 0.189954i | ||||
\(328\) | 0.315142 | + | 0.433756i | 0.0174008 | + | 0.0239501i | ||||
\(329\) | −0.00997307 | + | 0.0137268i | −0.000549833 | + | 0.000756781i | ||||
\(330\) | 6.70438 | + | 11.3900i | 0.369064 | + | 0.626998i | ||||
\(331\) | 16.6796 | − | 22.9575i | 0.916795 | − | 1.26186i | −0.0479980 | − | 0.998847i | \(-0.515284\pi\) |
0.964793 | − | 0.263012i | \(-0.0847159\pi\) | |||||||
\(332\) | −7.06340 | − | 2.29504i | −0.387654 | − | 0.125957i | ||||
\(333\) | −4.96020 | − | 1.74849i | −0.271817 | − | 0.0958167i | ||||
\(334\) | 4.59028 | − | 1.49147i | 0.251169 | − | 0.0816098i | ||||
\(335\) | 3.74067 | − | 6.03092i | 0.204374 | − | 0.329504i | ||||
\(336\) | 0.151629 | + | 0.155428i | 0.00827203 | + | 0.00847929i | ||||
\(337\) | 7.75296 | + | 23.8612i | 0.422331 | + | 1.29980i | 0.905527 | + | 0.424288i | \(0.139476\pi\) |
−0.483197 | + | 0.875512i | \(0.660524\pi\) | |||||||
\(338\) | −3.27309 | + | 2.37804i | −0.178032 | + | 0.129348i | ||||
\(339\) | 4.48295 | − | 0.653282i | 0.243480 | − | 0.0354814i | ||||
\(340\) | 5.66127 | − | 9.12742i | 0.307025 | − | 0.495004i | ||||
\(341\) | −2.87875 | + | 18.7808i | −0.155893 | + | 1.01704i | ||||
\(342\) | −0.278225 | + | 11.2416i | −0.0150447 | + | 0.607875i | ||||
\(343\) | 1.03047 | − | 1.41832i | 0.0556401 | − | 0.0765821i | ||||
\(344\) | 0.245652 | − | 0.178476i | 0.0132447 | − | 0.00962280i | ||||
\(345\) | 21.0678 | − | 12.4009i | 1.13425 | − | 0.667644i | ||||
\(346\) | −22.7975 | −1.22560 | ||||||||
\(347\) | 18.6946i | 1.00358i | 0.864990 | + | 0.501789i | \(0.167324\pi\) | ||||
−0.864990 | + | 0.501789i | \(0.832676\pi\) | |||||||
\(348\) | 0.617879 | + | 0.324516i | 0.0331218 | + | 0.0173959i | ||||
\(349\) | −1.37625 | + | 4.23566i | −0.0736690 | + | 0.226730i | −0.981110 | − | 0.193449i | \(-0.938033\pi\) |
0.907441 | + | 0.420179i | \(0.138033\pi\) | |||||||
\(350\) | 0.0913695 | + | 0.620130i | 0.00488390 | + | 0.0331473i | ||||
\(351\) | 2.56740 | + | 21.2989i | 0.137038 | + | 1.13685i | ||||
\(352\) | 1.05453 | + | 3.24551i | 0.0562066 | + | 0.172986i | ||||
\(353\) | 15.5050 | − | 21.3408i | 0.825247 | − | 1.13586i | −0.163542 | − | 0.986536i | \(-0.552292\pi\) |
0.988789 | − | 0.149319i | \(-0.0477081\pi\) | |||||||
\(354\) | −23.1208 | − | 3.95580i | −1.22886 | − | 0.210249i | ||||
\(355\) | −16.5086 | − | 19.5417i | −0.876187 | − | 1.03717i | ||||
\(356\) | −12.3668 | + | 8.98499i | −0.655438 | + | 0.476203i | ||||
\(357\) | −0.175892 | + | 1.02805i | −0.00930917 | + | 0.0544101i | ||||
\(358\) | 0.308395 | − | 0.949142i | 0.0162992 | − | 0.0501637i | ||||
\(359\) | 20.9049 | + | 28.7731i | 1.10332 | + | 1.51859i | 0.830911 | + | 0.556406i | \(0.187820\pi\) |
0.272408 | + | 0.962182i | \(0.412180\pi\) | |||||||
\(360\) | −6.27212 | + | 2.37918i | −0.330570 | + | 0.125394i | ||||
\(361\) | −1.52962 | − | 4.70767i | −0.0805061 | − | 0.247772i | ||||
\(362\) | 6.15871 | − | 8.47674i | 0.323695 | − | 0.445527i | ||||
\(363\) | −0.495114 | − | 1.00218i | −0.0259868 | − | 0.0526007i | ||||
\(364\) | 0.492256 | + | 0.159944i | 0.0258012 | + | 0.00838332i | ||||
\(365\) | −3.38782 | + | 13.7832i | −0.177327 | + | 0.721445i | ||||
\(366\) | 7.12116 | + | 7.29958i | 0.372229 | + | 0.381555i | ||||
\(367\) | 9.19973 | 0.480222 | 0.240111 | − | 0.970745i | \(-0.422816\pi\) | ||||
0.240111 | + | 0.970745i | \(0.422816\pi\) | |||||||
\(368\) | 6.00314 | − | 1.95054i | 0.312936 | − | 0.101679i | ||||
\(369\) | 1.32426 | − | 0.912940i | 0.0689382 | − | 0.0475258i | ||||
\(370\) | −1.48059 | − | 3.62973i | −0.0769721 | − | 0.188701i | ||||
\(371\) | 0.183095 | 0.00950580 | ||||||||
\(372\) | −9.14938 | − | 3.04775i | −0.474373 | − | 0.158018i | ||||
\(373\) | 5.08205i | 0.263138i | 0.991307 | + | 0.131569i | \(0.0420015\pi\) | ||||
−0.991307 | + | 0.131569i | \(0.957998\pi\) | |||||||
\(374\) | −9.63469 | + | 13.2610i | −0.498198 | + | 0.685710i | ||||
\(375\) | −18.6931 | − | 5.05655i | −0.965307 | − | 0.261119i | ||||
\(376\) | −0.0418231 | − | 0.128718i | −0.00215686 | − | 0.00663814i | ||||
\(377\) | 1.66360 | 0.0856799 | ||||||||
\(378\) | 0.477396 | − | 0.443210i | 0.0245546 | − | 0.0227963i | ||||
\(379\) | 10.8833 | + | 33.4955i | 0.559039 | + | 1.72055i | 0.685030 | + | 0.728514i | \(0.259789\pi\) |
−0.125991 | + | 0.992031i | \(0.540211\pi\) | |||||||
\(380\) | −6.40266 | + | 5.40891i | −0.328449 | + | 0.277471i | ||||
\(381\) | 14.0752 | + | 28.4902i | 0.721096 | + | 1.45960i | ||||
\(382\) | −14.3066 | + | 19.6913i | −0.731989 | + | 1.00750i | ||||
\(383\) | −24.9717 | + | 8.11379i | −1.27599 | + | 0.414595i | −0.867167 | − | 0.498017i | \(-0.834062\pi\) |
−0.408826 | + | 0.912612i | \(0.634062\pi\) | |||||||
\(384\) | −1.71395 | + | 0.249767i | −0.0874645 | + | 0.0127458i | ||||
\(385\) | −0.0699078 | − | 0.954059i | −0.00356283 | − | 0.0486233i | ||||
\(386\) | 1.71927 | + | 0.558626i | 0.0875087 | + | 0.0284333i | ||||
\(387\) | −0.517032 | − | 0.749977i | −0.0262822 | − | 0.0381235i | ||||
\(388\) | −3.49311 | − | 4.80785i | −0.177336 | − | 0.244082i | ||||
\(389\) | 9.24156 | − | 28.4426i | 0.468566 | − | 1.44210i | −0.385876 | − | 0.922550i | \(-0.626101\pi\) |
0.854442 | − | 0.519547i | \(-0.173899\pi\) | |||||||
\(390\) | −10.5992 | + | 11.9726i | −0.536711 | + | 0.606256i | ||||
\(391\) | 24.5286 | + | 17.8211i | 1.24046 | + | 0.901250i | ||||
\(392\) | 2.15826 | + | 6.64245i | 0.109009 | + | 0.335494i | ||||
\(393\) | 2.13145 | + | 14.6264i | 0.107517 | + | 0.737806i | ||||
\(394\) | 23.1350 | + | 7.51701i | 1.16552 | + | 0.378701i | ||||
\(395\) | 8.75432 | + | 10.3627i | 0.440478 | + | 0.521405i | ||||
\(396\) | 9.81182 | − | 2.92172i | 0.493063 | − | 0.146822i | ||||
\(397\) | − | 15.9690i | − | 0.801459i | −0.916196 | − | 0.400730i | \(-0.868757\pi\) | ||
0.916196 | − | 0.400730i | \(-0.131243\pi\) | |||||||
\(398\) | − | 14.9724i | − | 0.750496i | ||||||
\(399\) | 0.378451 | − | 0.720571i | 0.0189462 | − | 0.0360737i | ||||
\(400\) | −4.43027 | − | 2.31790i | −0.221514 | − | 0.115895i | ||||
\(401\) | 29.3222 | + | 21.3038i | 1.46428 | + | 1.06386i | 0.982222 | + | 0.187721i | \(0.0601102\pi\) |
0.482057 | + | 0.876140i | \(0.339890\pi\) | |||||||
\(402\) | −3.83869 | − | 3.93487i | −0.191456 | − | 0.196253i | ||||
\(403\) | −22.6861 | + | 3.70909i | −1.13008 | + | 0.184763i | ||||
\(404\) | 3.58686i | 0.178453i | ||||||||
\(405\) | 6.66980 | + | 18.9872i | 0.331425 | + | 0.943482i | ||||
\(406\) | −0.0296918 | − | 0.0408673i | −0.00147358 | − | 0.00202821i | ||||
\(407\) | 1.84872 | + | 5.68976i | 0.0916374 | + | 0.282031i | ||||
\(408\) | −5.80962 | − | 5.95518i | −0.287619 | − | 0.294826i | ||||
\(409\) | − | 10.9997i | − | 0.543899i | −0.962311 | − | 0.271950i | \(-0.912332\pi\) | ||
0.962311 | − | 0.271950i | \(-0.0876684\pi\) | |||||||
\(410\) | 1.16422 | + | 0.286158i | 0.0574967 | + | 0.0141323i | ||||
\(411\) | −32.9551 | + | 16.2811i | −1.62556 | + | 0.803087i | ||||
\(412\) | −7.70454 | − | 2.50336i | −0.379575 | − | 0.123331i | ||||
\(413\) | 1.37354 | + | 0.997936i | 0.0675875 | + | 0.0491052i | ||||
\(414\) | −5.40424 | − | 18.1487i | −0.265604 | − | 0.891960i | ||||
\(415\) | −15.3770 | + | 6.27235i | −0.754827 | + | 0.307898i | ||||
\(416\) | −3.34015 | + | 2.42676i | −0.163764 | + | 0.118982i | ||||
\(417\) | 30.3327 | − | 14.9855i | 1.48540 | − | 0.733843i | ||||
\(418\) | 10.3484 | − | 7.51856i | 0.506157 | − | 0.367745i | ||||
\(419\) | −1.42578 | − | 1.96242i | −0.0696542 | − | 0.0958707i | 0.772769 | − | 0.634688i | \(-0.218871\pi\) |
−0.842423 | + | 0.538817i | \(0.818871\pi\) | |||||||
\(420\) | 0.483286 | + | 0.0466891i | 0.0235820 | + | 0.00227819i | ||||
\(421\) | −12.6635 | + | 9.20057i | −0.617181 | + | 0.448408i | −0.851936 | − | 0.523646i | \(-0.824571\pi\) |
0.234755 | + | 0.972055i | \(0.424571\pi\) | |||||||
\(422\) | −15.2426 | − | 11.0744i | −0.742000 | − | 0.539095i | ||||
\(423\) | −0.389141 | + | 0.115877i | −0.0189207 | + | 0.00563412i | ||||
\(424\) | −0.858456 | + | 1.18156i | −0.0416903 | + | 0.0573818i | ||||
\(425\) | −3.50080 | − | 23.7601i | −0.169814 | − | 1.15254i | ||||
\(426\) | −17.7655 | + | 8.77685i | −0.860743 | + | 0.425240i | ||||
\(427\) | −0.228089 | − | 0.701985i | −0.0110380 | − | 0.0339714i | ||||
\(428\) | −3.27909 | −0.158501 | ||||||||
\(429\) | 17.4678 | − | 17.0408i | 0.843352 | − | 0.822738i | ||||
\(430\) | 0.162062 | − | 0.659340i | 0.00781530 | − | 0.0317962i | ||||
\(431\) | −8.65001 | − | 11.9057i | −0.416656 | − | 0.573478i | 0.548170 | − | 0.836367i | \(-0.315325\pi\) |
−0.964826 | + | 0.262889i | \(0.915325\pi\) | |||||||
\(432\) | 0.621851 | + | 5.15881i | 0.0299188 | + | 0.248203i | ||||
\(433\) | −17.3193 | −0.832311 | −0.416155 | − | 0.909294i | \(-0.636623\pi\) | ||||
−0.416155 | + | 0.909294i | \(0.636623\pi\) | |||||||
\(434\) | 0.496015 | + | 0.491097i | 0.0238095 | + | 0.0235734i | ||||
\(435\) | 1.52370 | − | 0.337292i | 0.0730558 | − | 0.0161719i | ||||
\(436\) | −1.78954 | − | 1.30018i | −0.0857037 | − | 0.0622674i | ||||
\(437\) | −13.9069 | − | 19.1412i | −0.665257 | − | 0.915648i | ||||
\(438\) | 9.73339 | + | 5.11207i | 0.465079 | + | 0.244264i | ||||
\(439\) | 6.96500 | 0.332421 | 0.166211 | − | 0.986090i | \(-0.446847\pi\) | ||||
0.166211 | + | 0.986090i | \(0.446847\pi\) | |||||||
\(440\) | 6.48459 | + | 4.02206i | 0.309141 | + | 0.191744i | ||||
\(441\) | 20.0814 | − | 5.97976i | 0.956259 | − | 0.284751i | ||||
\(442\) | −18.8607 | − | 6.12820i | −0.897110 | − | 0.291489i | ||||
\(443\) | 6.32402 | − | 19.4633i | 0.300463 | − | 0.924730i | −0.680868 | − | 0.732406i | \(-0.738397\pi\) |
0.981331 | − | 0.192324i | \(-0.0616026\pi\) | |||||||
\(444\) | −3.00475 | + | 0.437870i | −0.142599 | + | 0.0207804i | ||||
\(445\) | −8.15862 | + | 33.1930i | −0.386756 | + | 1.57350i | ||||
\(446\) | 0.309665 | + | 0.224985i | 0.0146631 | + | 0.0106534i | ||||
\(447\) | −1.48003 | − | 0.253223i | −0.0700032 | − | 0.0119770i | ||||
\(448\) | 0.119229 | + | 0.0387399i | 0.00563305 | + | 0.00183029i | ||||
\(449\) | −22.9901 | + | 16.7033i | −1.08497 | + | 0.788277i | −0.978543 | − | 0.206044i | \(-0.933941\pi\) |
−0.106427 | + | 0.994321i | \(0.533941\pi\) | |||||||
\(450\) | −7.28042 | + | 13.1147i | −0.343202 | + | 0.618233i | ||||
\(451\) | −1.74008 | − | 0.565388i | −0.0819374 | − | 0.0266231i | ||||
\(452\) | 2.11604 | − | 1.53739i | 0.0995301 | − | 0.0723129i | ||||
\(453\) | −0.228227 | − | 1.56614i | −0.0107230 | − | 0.0735835i | ||||
\(454\) | −4.86255 | − | 14.9654i | −0.228211 | − | 0.702361i | ||||
\(455\) | 1.07164 | − | 0.437127i | 0.0502392 | − | 0.0204928i | ||||
\(456\) | 2.87566 | + | 5.82072i | 0.134665 | + | 0.272580i | ||||
\(457\) | −11.8818 | + | 36.5685i | −0.555808 | + | 1.71060i | 0.137992 | + | 0.990433i | \(0.455935\pi\) |
−0.693800 | + | 0.720168i | \(0.744065\pi\) | |||||||
\(458\) | 25.7624 | − | 8.37071i | 1.20380 | − | 0.391137i | ||||
\(459\) | −18.2913 | + | 16.9815i | −0.853765 | + | 0.792628i | ||||
\(460\) | 7.43950 | − | 11.9944i | 0.346869 | − | 0.559242i | ||||
\(461\) | 6.30414 | + | 19.4021i | 0.293613 | + | 0.903648i | 0.983684 | + | 0.179906i | \(0.0575793\pi\) |
−0.690071 | + | 0.723742i | \(0.742421\pi\) | |||||||
\(462\) | −0.730379 | − | 0.124962i | −0.0339803 | − | 0.00581378i | ||||
\(463\) | −19.6551 | − | 14.2803i | −0.913452 | − | 0.663661i | 0.0284338 | − | 0.999596i | \(-0.490948\pi\) |
−0.941885 | + | 0.335934i | \(0.890948\pi\) | |||||||
\(464\) | 0.402941 | 0.0187061 | ||||||||
\(465\) | −20.0263 | + | 7.99673i | −0.928697 | + | 0.370839i | ||||
\(466\) | 2.75609 | 0.127673 | ||||||||
\(467\) | 23.7999 | + | 17.2917i | 1.10133 | + | 0.800162i | 0.981276 | − | 0.192605i | \(-0.0616937\pi\) |
0.120053 | + | 0.992768i | \(0.461694\pi\) | |||||||
\(468\) | 7.03012 | + | 10.1975i | 0.324968 | + | 0.471380i | ||||
\(469\) | 0.122952 | + | 0.378408i | 0.00567740 | + | 0.0174732i | ||||
\(470\) | −0.257182 | − | 0.159517i | −0.0118629 | − | 0.00735795i | ||||
\(471\) | 3.18373 | + | 3.26350i | 0.146699 | + | 0.150374i | ||||
\(472\) | −12.8799 | + | 4.18495i | −0.592848 | + | 0.192628i | ||||
\(473\) | −0.320200 | + | 0.985474i | −0.0147228 | + | 0.0453121i | ||||
\(474\) | 9.42084 | − | 4.65425i | 0.432714 | − | 0.213777i | ||||
\(475\) | −3.13146 | + | 18.4782i | −0.143681 | + | 0.847840i | ||||
\(476\) | 0.186081 | + | 0.572697i | 0.00852899 | + | 0.0262495i | ||||
\(477\) | 3.47989 | + | 2.66228i | 0.159333 | + | 0.121898i | ||||
\(478\) | −8.80183 | + | 6.39490i | −0.402586 | + | 0.292496i | ||||
\(479\) | 1.34384 | + | 0.436641i | 0.0614017 | + | 0.0199506i | 0.339557 | − | 0.940586i | \(-0.389723\pi\) |
−0.278155 | + | 0.960536i | \(0.589723\pi\) | |||||||
\(480\) | −2.56723 | + | 2.89988i | −0.117178 | + | 0.132361i | ||||
\(481\) | −5.85567 | + | 4.25440i | −0.266996 | + | 0.193984i | ||||
\(482\) | 6.60124 | + | 2.14487i | 0.300678 | + | 0.0976962i | ||||
\(483\) | −0.231140 | + | 1.35096i | −0.0105172 | + | 0.0614710i | ||||
\(484\) | −0.522114 | − | 0.379338i | −0.0237324 | − | 0.0172426i | ||||
\(485\) | −12.9045 | − | 3.17184i | −0.585962 | − | 0.144026i | ||||
\(486\) | 15.5178 | − | 1.48206i | 0.703904 | − | 0.0672277i | ||||
\(487\) | 12.4355 | − | 38.2724i | 0.563505 | − | 1.73429i | −0.108849 | − | 0.994058i | \(-0.534716\pi\) |
0.672353 | − | 0.740230i | \(-0.265284\pi\) | |||||||
\(488\) | 5.59953 | + | 1.81940i | 0.253479 | + | 0.0823602i | ||||
\(489\) | −9.98361 | + | 19.0088i | −0.451475 | + | 0.859608i | ||||
\(490\) | 13.2717 | + | 8.23177i | 0.599556 | + | 0.371874i | ||||
\(491\) | −39.4364 | −1.77974 | −0.889871 | − | 0.456213i | \(-0.849205\pi\) | ||||
−0.889871 | + | 0.456213i | \(0.849205\pi\) | |||||||
\(492\) | 0.431799 | − | 0.822146i | 0.0194670 | − | 0.0370652i | ||||
\(493\) | 1.13763 | + | 1.56582i | 0.0512365 | + | 0.0705210i | ||||
\(494\) | 12.5200 | + | 9.09632i | 0.563302 | + | 0.409263i | ||||
\(495\) | 12.5438 | − | 19.1493i | 0.563802 | − | 0.860696i | ||||
\(496\) | −5.49481 | + | 0.898378i | −0.246724 | + | 0.0403383i | ||||
\(497\) | 1.43422 | 0.0643338 | ||||||||
\(498\) | 1.85499 | + | 12.7293i | 0.0831242 | + | 0.570414i | ||||
\(499\) | −18.0063 | − | 24.7836i | −0.806073 | − | 1.10946i | −0.991917 | − | 0.126885i | \(-0.959502\pi\) |
0.185844 | − | 0.982579i | \(-0.440498\pi\) | |||||||
\(500\) | −10.9123 | + | 2.43366i | −0.488011 | + | 0.108837i | ||||
\(501\) | −5.83766 | − | 5.98392i | −0.260807 | − | 0.267342i | ||||
\(502\) | −15.4183 | −0.688153 | ||||||||
\(503\) | −9.16001 | − | 28.1916i | −0.408425 | − | 1.25700i | −0.918001 | − | 0.396577i | \(-0.870198\pi\) |
0.509577 | − | 0.860425i | \(-0.329802\pi\) | |||||||
\(504\) | 0.125034 | − | 0.354703i | 0.00556946 | − | 0.0157997i | ||||
\(505\) | 5.17588 | + | 6.12682i | 0.230324 | + | 0.272640i | ||||
\(506\) | −12.6610 | + | 17.4264i | −0.562850 | + | 0.774696i | ||||
\(507\) | 6.20385 | + | 3.25832i | 0.275523 | + | 0.144707i | ||||
\(508\) | 14.8428 | + | 10.7839i | 0.658542 | + | 0.478459i | ||||
\(509\) | −27.3758 | + | 19.8897i | −1.21341 | + | 0.881594i | −0.995536 | − | 0.0943835i | \(-0.969912\pi\) |
−0.217874 | + | 0.975977i | \(0.569912\pi\) | |||||||
\(510\) | −18.5170 | − | 1.78888i | −0.819947 | − | 0.0792130i | ||||
\(511\) | −0.467732 | − | 0.643778i | −0.0206912 | − | 0.0284791i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | 17.6703 | − | 8.19228i | 0.780161 | − | 0.361698i | ||||
\(514\) | 10.6880 | − | 7.76532i | 0.471429 | − | 0.342513i | ||||
\(515\) | −16.7727 | + | 6.84169i | −0.739095 | + | 0.301481i | ||||
\(516\) | −0.465612 | − | 0.244544i | −0.0204974 | − | 0.0107654i | ||||
\(517\) | 0.373653 | + | 0.271475i | 0.0164332 | + | 0.0119394i | ||||
\(518\) | 0.209023 | + | 0.0679156i | 0.00918393 | + | 0.00298404i | ||||
\(519\) | 17.4898 | + | 35.4018i | 0.767718 | + | 1.55397i | ||||
\(520\) | −2.20357 | + | 8.96510i | −0.0966328 | + | 0.393146i | ||||
\(521\) | 21.3302i | 0.934493i | 0.884127 | + | 0.467247i | \(0.154754\pi\) | ||||
−0.884127 | + | 0.467247i | \(0.845246\pi\) | |||||||
\(522\) | 0.0299088 | − | 1.20845i | 0.00130907 | − | 0.0528926i | ||||
\(523\) | 2.35014 | + | 7.23297i | 0.102764 | + | 0.316276i | 0.989199 | − | 0.146577i | \(-0.0468257\pi\) |
−0.886435 | + | 0.462853i | \(0.846826\pi\) | |||||||
\(524\) | 5.01602 | + | 6.90396i | 0.219126 | + | 0.301601i | ||||
\(525\) | 0.892890 | − | 0.617638i | 0.0389689 | − | 0.0269559i | ||||
\(526\) | − | 26.3280i | − | 1.14795i | ||||||
\(527\) | −19.0047 | − | 18.8163i | −0.827858 | − | 0.819650i | ||||
\(528\) | 4.23087 | − | 4.12745i | 0.184125 | − | 0.179624i | ||||
\(529\) | 13.6257 | + | 9.89968i | 0.592424 | + | 0.430421i | ||||
\(530\) | 0.238656 | + | 3.25703i | 0.0103665 | + | 0.141476i | ||||
\(531\) | 11.5950 | + | 38.9387i | 0.503179 | + | 1.68979i | ||||
\(532\) | − | 0.469911i | − | 0.0203732i | ||||||
\(533\) | − | 2.21358i | − | 0.0958809i | ||||||
\(534\) | 23.4402 | + | 12.3110i | 1.01435 | + | 0.532749i | ||||
\(535\) | −5.60111 | + | 4.73177i | −0.242157 | + | 0.204572i | ||||
\(536\) | −3.01845 | − | 0.980753i | −0.130377 | − | 0.0423621i | ||||
\(537\) | −1.71050 | + | 0.249264i | −0.0738134 | + | 0.0107565i | ||||
\(538\) | 2.22970 | + | 6.86230i | 0.0961291 | + | 0.295855i | ||||
\(539\) | −19.2822 | − | 14.0093i | −0.830542 | − | 0.603424i | ||||
\(540\) | 8.50643 | + | 7.91458i | 0.366059 | + | 0.340589i | ||||
\(541\) | 4.86319 | − | 14.9674i | 0.209085 | − | 0.643497i | −0.790436 | − | 0.612545i | \(-0.790146\pi\) |
0.999521 | − | 0.0309526i | \(-0.00985408\pi\) | |||||||
\(542\) | −5.19791 | − | 7.15432i | −0.223270 | − | 0.307304i | ||||
\(543\) | −17.8882 | − | 3.06054i | −0.767656 | − | 0.131340i | ||||
\(544\) | −4.56824 | − | 1.48431i | −0.195862 | − | 0.0636393i | ||||
\(545\) | −4.93296 | + | 0.361458i | −0.211305 | + | 0.0154832i | ||||
\(546\) | −0.129276 | − | 0.887119i | −0.00553251 | − | 0.0379652i | ||||
\(547\) | −16.3183 | + | 5.30215i | −0.697721 | + | 0.226703i | −0.636337 | − | 0.771411i | \(-0.719551\pi\) |
−0.0613840 | + | 0.998114i | \(0.519551\pi\) | |||||||
\(548\) | −12.4740 | + | 17.1689i | −0.532861 | + | 0.733420i | ||||
\(549\) | 5.87215 | − | 16.6584i | 0.250617 | − | 0.710963i | ||||
\(550\) | 16.8804 | − | 2.48715i | 0.719783 | − | 0.106052i | ||||
\(551\) | −0.466727 | − | 1.43644i | −0.0198832 | − | 0.0611943i | ||||
\(552\) | −7.63445 | − | 7.82574i | −0.324944 | − | 0.333086i | ||||
\(553\) | −0.760551 | −0.0323419 | ||||||||
\(554\) | −9.85855 | − | 30.3415i | −0.418850 | − | 1.28909i | ||||
\(555\) | −4.50066 | + | 5.08384i | −0.191042 | + | 0.215797i | ||||
\(556\) | 11.4813 | − | 15.8027i | 0.486916 | − | 0.670183i | ||||
\(557\) | − | 3.48412i | − | 0.147627i | −0.997272 | − | 0.0738135i | \(-0.976483\pi\) | ||
0.997272 | − | 0.0738135i | \(-0.0235169\pi\) | |||||||
\(558\) | 2.28645 | + | 16.5461i | 0.0967931 | + | 0.700451i | ||||
\(559\) | −1.25363 | −0.0530230 | ||||||||
\(560\) | 0.259561 | − | 0.105876i | 0.0109685 | − | 0.00447410i | ||||
\(561\) | 27.9843 | + | 4.78791i | 1.18150 | + | 0.202146i | ||||
\(562\) | −22.6322 | + | 7.35364i | −0.954680 | + | 0.310194i | ||||
\(563\) | 41.9314 | 1.76720 | 0.883598 | − | 0.468246i | \(-0.155114\pi\) | ||||
0.883598 | + | 0.468246i | \(0.155114\pi\) | |||||||
\(564\) | −0.167798 | + | 0.163697i | −0.00706557 | + | 0.00689287i | ||||
\(565\) | 1.39600 | − | 5.67954i | 0.0587300 | − | 0.238940i | ||||
\(566\) | −24.3953 | − | 7.92650i | −1.02541 | − | 0.333176i | ||||
\(567\) | −1.05450 | − | 0.401316i | −0.0442849 | − | 0.0168537i | ||||
\(568\) | −6.72449 | + | 9.25547i | −0.282153 | + | 0.388351i | ||||
\(569\) | 8.82636 | + | 27.1647i | 0.370020 | + | 1.13880i | 0.946777 | + | 0.321889i | \(0.104318\pi\) |
−0.576757 | + | 0.816916i | \(0.695682\pi\) | |||||||
\(570\) | 13.3114 | + | 5.79294i | 0.557552 | + | 0.242640i | ||||
\(571\) | −21.3975 | − | 29.4512i | −0.895459 | − | 1.23249i | −0.971894 | − | 0.235419i | \(-0.924354\pi\) |
0.0764352 | − | 0.997075i | \(-0.475646\pi\) | |||||||
\(572\) | 4.35379 | − | 13.3996i | 0.182041 | − | 0.560264i | ||||
\(573\) | 41.5540 | + | 7.10959i | 1.73594 | + | 0.297007i | ||||
\(574\) | −0.0543777 | + | 0.0395077i | −0.00226968 | + | 0.00164902i | ||||
\(575\) | −4.60042 | − | 31.2233i | −0.191851 | − | 1.30210i | ||||
\(576\) | 1.70277 | + | 2.46994i | 0.0709486 | + | 0.102914i | ||||
\(577\) | 3.14872 | − | 4.33384i | 0.131083 | − | 0.180420i | −0.738430 | − | 0.674330i | \(-0.764433\pi\) |
0.869513 | + | 0.493910i | \(0.164433\pi\) | |||||||
\(578\) | −1.87634 | − | 5.77478i | −0.0780455 | − | 0.240199i | ||||
\(579\) | −0.451516 | − | 3.09839i | −0.0187644 | − | 0.128765i | ||||
\(580\) | 0.688277 | − | 0.581449i | 0.0285791 | − | 0.0241434i | ||||
\(581\) | 0.287717 | − | 0.885503i | 0.0119365 | − | 0.0367369i | ||||
\(582\) | −4.78616 | + | 9.11286i | −0.198393 | + | 0.377740i | ||||
\(583\) | − | 4.98398i | − | 0.206415i | ||||||
\(584\) | 6.34749 | 0.262661 | ||||||||
\(585\) | 26.7235 | + | 7.27412i | 1.10488 | + | 0.300748i | ||||
\(586\) | −11.8875 | + | 8.63680i | −0.491069 | + | 0.356783i | ||||
\(587\) | −16.2096 | + | 22.3105i | −0.669040 | + | 0.920855i | −0.999738 | − | 0.0228819i | \(-0.992716\pi\) |
0.330698 | + | 0.943737i | \(0.392716\pi\) | |||||||
\(588\) | 8.65914 | − | 8.44748i | 0.357097 | − | 0.348368i | ||||
\(589\) | 9.56725 | + | 18.5478i | 0.394212 | + | 0.764247i | ||||
\(590\) | −15.9617 | + | 25.7344i | −0.657133 | + | 1.05947i | ||||
\(591\) | −6.07571 | − | 41.6927i | −0.249921 | − | 1.71501i | ||||
\(592\) | −1.41830 | + | 1.03046i | −0.0582919 | + | 0.0423515i | ||||
\(593\) | −12.3737 | − | 38.0823i | −0.508126 | − | 1.56385i | −0.795451 | − | 0.606018i | \(-0.792766\pi\) |
0.287325 | − | 0.957833i | \(-0.407234\pi\) | |||||||
\(594\) | −12.0645 | − | 12.9951i | −0.495013 | − | 0.533195i | ||||
\(595\) | 1.14426 | + | 0.709725i | 0.0469101 | + | 0.0290959i | ||||
\(596\) | −0.824485 | + | 0.267891i | −0.0337722 | + | 0.0109733i | ||||
\(597\) | −23.2502 | + | 11.4865i | −0.951569 | + | 0.470111i | ||||
\(598\) | −24.7849 | − | 8.05310i | −1.01353 | − | 0.329316i | ||||
\(599\) | 10.7718 | − | 14.8262i | 0.440125 | − | 0.605780i | −0.530115 | − | 0.847926i | \(-0.677851\pi\) |
0.970240 | + | 0.242146i | \(0.0778512\pi\) | |||||||
\(600\) | −0.200599 | + | 8.65793i | −0.00818940 | + | 0.353459i | ||||
\(601\) | 24.7431 | − | 34.0560i | 1.00929 | − | 1.38917i | 0.0898484 | − | 0.995955i | \(-0.471362\pi\) |
0.919445 | − | 0.393218i | \(-0.128638\pi\) | |||||||
\(602\) | 0.0223747 | + | 0.0307961i | 0.000911924 | + | 0.00125516i | ||||
\(603\) | −3.16541 | + | 8.97978i | −0.128905 | + | 0.365685i | ||||
\(604\) | −0.537094 | − | 0.739247i | −0.0218541 | − | 0.0300795i | ||||
\(605\) | −1.43923 | + | 0.105458i | −0.0585130 | + | 0.00428748i | ||||
\(606\) | 5.56995 | − | 2.75177i | 0.226264 | − | 0.111783i | ||||
\(607\) | 13.7060 | + | 18.8647i | 0.556310 | + | 0.765694i | 0.990851 | − | 0.134957i | \(-0.0430897\pi\) |
−0.434542 | + | 0.900652i | \(0.643090\pi\) | |||||||
\(608\) | 3.03247 | + | 2.20322i | 0.122983 | + | 0.0893524i | ||||
\(609\) | −0.0406829 | + | 0.0774604i | −0.00164856 | + | 0.00313885i | ||||
\(610\) | 12.1901 | − | 4.97242i | 0.493564 | − | 0.201328i | ||||
\(611\) | −0.172673 | + | 0.531433i | −0.00698560 | + | 0.0214995i | ||||
\(612\) | −4.79065 | + | 13.5903i | −0.193651 | + | 0.549357i | ||||
\(613\) | −14.9746 | − | 46.0871i | −0.604818 | − | 1.86144i | −0.498034 | − | 0.867158i | \(-0.665944\pi\) |
−0.106785 | − | 0.994282i | \(-0.534056\pi\) | |||||||
\(614\) | − | 25.6359i | − | 1.03458i | ||||||
\(615\) | −0.448798 | − | 2.02743i | −0.0180973 | − | 0.0817537i | ||||
\(616\) | −0.406873 | + | 0.132201i | −0.0163934 | + | 0.00532654i | ||||
\(617\) | −27.4232 | + | 19.9241i | −1.10402 | + | 0.802115i | −0.981711 | − | 0.190377i | \(-0.939029\pi\) |
−0.122306 | + | 0.992492i | \(0.539029\pi\) | |||||||
\(618\) | 2.02337 | + | 13.8847i | 0.0813918 | + | 0.558526i | ||||
\(619\) | 7.98010i | 0.320747i | 0.987056 | + | 0.160374i | \(0.0512699\pi\) | ||||
−0.987056 | + | 0.160374i | \(0.948730\pi\) | |||||||
\(620\) | −8.08948 | + | 9.46363i | −0.324881 | + | 0.380068i | ||||
\(621\) | −24.0367 | + | 22.3155i | −0.964560 | + | 0.895489i | ||||
\(622\) | 7.27023 | − | 10.0066i | 0.291510 | − | 0.401229i | ||||
\(623\) | −1.12640 | − | 1.55036i | −0.0451284 | − | 0.0621139i | ||||
\(624\) | 6.33096 | + | 3.32508i | 0.253441 | + | 0.133110i | ||||
\(625\) | −15.1278 | + | 19.9035i | −0.605110 | + | 0.796142i | ||||
\(626\) | 7.89898 | 0.315707 | ||||||||
\(627\) | −19.6145 | − | 10.3017i | −0.783328 | − | 0.411411i | ||||
\(628\) | 2.50344 | + | 0.813418i | 0.0998982 | + | 0.0324589i | ||||
\(629\) | −8.00866 | − | 2.60217i | −0.319326 | − | 0.103755i | ||||
\(630\) | −0.298266 | − | 0.786304i | −0.0118832 | − | 0.0313271i | ||||
\(631\) | −13.7870 | + | 4.47966i | −0.548851 | + | 0.178333i | −0.570299 | − | 0.821437i | \(-0.693173\pi\) |
0.0214475 | + | 0.999770i | \(0.493173\pi\) | |||||||
\(632\) | 3.56591 | − | 4.90806i | 0.141844 | − | 0.195232i | ||||
\(633\) | −5.50338 | + | 32.1661i | −0.218740 | + | 1.27849i | ||||
\(634\) | −2.11650 | + | 6.51393i | −0.0840571 | + | 0.258701i | ||||
\(635\) | 40.9148 | − | 2.99799i | 1.62365 | − | 0.118972i | ||||
\(636\) | 2.49342 | + | 0.426605i | 0.0988704 | + | 0.0169160i | ||||
\(637\) | 8.91071 | − | 27.4244i | 0.353055 | − | 1.08659i | ||||
\(638\) | −1.11244 | + | 0.808234i | −0.0440419 | + | 0.0319983i | ||||
\(639\) | 27.2588 | + | 20.8543i | 1.07834 | + | 0.824983i | ||||
\(640\) | −0.533725 | + | 2.17144i | −0.0210974 | + | 0.0858336i | ||||
\(641\) | −6.84323 | − | 4.97190i | −0.270291 | − | 0.196378i | 0.444380 | − | 0.895838i | \(-0.353424\pi\) |
−0.714672 | + | 0.699460i | \(0.753424\pi\) | |||||||
\(642\) | 2.51565 | + | 5.09203i | 0.0992850 | + | 0.200966i | ||||
\(643\) | −12.5781 | + | 38.7115i | −0.496033 | + | 1.52663i | 0.319308 | + | 0.947651i | \(0.396549\pi\) |
−0.815341 | + | 0.578981i | \(0.803451\pi\) | |||||||
\(644\) | 0.244529 | + | 0.752584i | 0.00963581 | + | 0.0296560i | ||||
\(645\) | −1.14821 | + | 0.254171i | −0.0452106 | + | 0.0100080i | ||||
\(646\) | 18.0045i | 0.708378i | ||||||||
\(647\) | 6.42846 | − | 2.08873i | 0.252729 | − | 0.0821166i | −0.179913 | − | 0.983683i | \(-0.557582\pi\) |
0.432642 | + | 0.901566i | \(0.357582\pi\) | |||||||
\(648\) | 7.53393 | − | 4.92340i | 0.295961 | − | 0.193409i | ||||
\(649\) | 27.1646 | − | 37.3888i | 1.06630 | − | 1.46764i | ||||
\(650\) | 9.17278 | + | 18.4934i | 0.359786 | + | 0.725369i | ||||
\(651\) | 0.382081 | − | 1.14701i | 0.0149749 | − | 0.0449550i | ||||
\(652\) | 12.3963i | 0.485478i | ||||||||
\(653\) | 2.17163 | + | 1.57778i | 0.0849825 | + | 0.0617434i | 0.629465 | − | 0.777029i | \(-0.283274\pi\) |
−0.544483 | + | 0.838772i | \(0.683274\pi\) | |||||||
\(654\) | −0.646118 | + | 3.77642i | −0.0252652 | + | 0.147670i | ||||
\(655\) | 18.5305 | + | 4.55469i | 0.724048 | + | 0.177966i | ||||
\(656\) | − | 0.536151i | − | 0.0209332i | ||||||
\(657\) | 0.471150 | − | 19.0367i | 0.0183813 | − | 0.742690i | ||||
\(658\) | 0.0161368 | − | 0.00524315i | 0.000629077 | − | 0.000204399i | ||||
\(659\) | −28.2838 | − | 9.18996i | −1.10178 | − | 0.357990i | −0.298993 | − | 0.954255i | \(-0.596651\pi\) |
−0.802787 | + | 0.596265i | \(0.796651\pi\) | |||||||
\(660\) | 1.27091 | − | 13.1554i | 0.0494702 | − | 0.512074i | ||||
\(661\) | −9.25199 | − | 6.72197i | −0.359861 | − | 0.261454i | 0.393133 | − | 0.919482i | \(-0.371391\pi\) |
−0.752994 | + | 0.658027i | \(0.771391\pi\) | |||||||
\(662\) | −26.9882 | + | 8.76899i | −1.04893 | + | 0.340817i | ||||
\(663\) | 4.95319 | + | 33.9898i | 0.192366 | + | 1.32005i | ||||
\(664\) | 4.36542 | + | 6.00849i | 0.169411 | + | 0.233175i | ||||
\(665\) | −0.678087 | − | 0.802669i | −0.0262951 | − | 0.0311262i | ||||
\(666\) | 2.98515 | + | 4.33009i | 0.115672 | + | 0.167788i | ||||
\(667\) | 1.49497 | + | 2.05765i | 0.0578855 | + | 0.0796726i | ||||
\(668\) | −4.59028 | − | 1.49147i | −0.177603 | − | 0.0577068i | ||||
\(669\) | 0.111805 | − | 0.653477i | 0.00432264 | − | 0.0252649i | ||||
\(670\) | −6.57115 | + | 2.68041i | −0.253866 | + | 0.103553i | ||||
\(671\) | −19.1086 | + | 6.20875i | −0.737678 | + | 0.239686i | ||||
\(672\) | −0.0313120 | − | 0.214869i | −0.00120789 | − | 0.00828875i | ||||
\(673\) | 4.98122 | − | 15.3306i | 0.192012 | − | 0.590952i | −0.807986 | − | 0.589201i | \(-0.799443\pi\) |
0.999998 | − | 0.00175116i | \(-0.000557412\pi\) | |||||||
\(674\) | 7.75296 | − | 23.8612i | 0.298633 | − | 0.919097i | ||||
\(675\) | 25.9510 | + | 1.24426i | 0.998853 | + | 0.0478915i | ||||
\(676\) | 4.04576 | 0.155606 | ||||||||
\(677\) | − | 0.367300i | − | 0.0141165i | −0.999975 | − | 0.00705825i | \(-0.997753\pi\) | ||
0.999975 | − | 0.00705825i | \(-0.00224673\pi\) | |||||||
\(678\) | −4.01077 | − | 2.10649i | −0.154033 | − | 0.0808994i | ||||
\(679\) | 0.602736 | − | 0.437913i | 0.0231309 | − | 0.0168056i | ||||
\(680\) | −9.94503 | + | 4.05663i | −0.381374 | + | 0.155565i | ||||
\(681\) | −19.5090 | + | 19.0321i | −0.747586 | + | 0.729313i | ||||
\(682\) | 13.3680 | − | 13.5019i | 0.511889 | − | 0.517015i | ||||
\(683\) | −5.96428 | −0.228217 | −0.114108 | − | 0.993468i | \(-0.536401\pi\) | ||||
−0.114108 | + | 0.993468i | \(0.536401\pi\) | |||||||
\(684\) | 6.83272 | − | 8.93109i | 0.261256 | − | 0.341489i | ||||
\(685\) | 3.46783 | + | 47.3269i | 0.132499 | + | 1.80827i | ||||
\(686\) | −1.66733 | + | 0.541750i | −0.0636591 | + | 0.0206841i | ||||
\(687\) | −32.7631 | − | 33.5840i | −1.24999 | − | 1.28131i | ||||
\(688\) | −0.303642 | −0.0115763 | ||||||||
\(689\) | 5.73474 | − | 1.86333i | 0.218476 | − | 0.0709872i | ||||
\(690\) | −24.3333 | − | 2.35078i | −0.926353 | − | 0.0894925i | ||||
\(691\) | 1.75079 | − | 5.38838i | 0.0666032 | − | 0.204984i | −0.912216 | − | 0.409709i | \(-0.865630\pi\) |
0.978819 | + | 0.204726i | \(0.0656302\pi\) | |||||||
\(692\) | 18.4436 | + | 13.4000i | 0.701120 | + | 0.509393i | ||||
\(693\) | 0.366281 | + | 1.23006i | 0.0139139 | + | 0.0467261i | ||||
\(694\) | 10.9884 | − | 15.1242i | 0.417114 | − | 0.574108i | ||||
\(695\) | −3.19187 | − | 43.5608i | −0.121075 | − | 1.65235i | ||||
\(696\) | −0.309129 | − | 0.625719i | −0.0117175 | − | 0.0237178i | ||||
\(697\) | 2.08347 | − | 1.51373i | 0.0789171 | − | 0.0573366i | ||||
\(698\) | 3.60307 | − | 2.61778i | 0.136378 | − | 0.0990846i | ||||
\(699\) | −2.11442 | − | 4.27988i | −0.0799748 | − | 0.161880i | ||||
\(700\) | 0.290584 | − | 0.555401i | 0.0109830 | − | 0.0209922i | ||||
\(701\) | 26.9295 | − | 37.0653i | 1.01711 | − | 1.39994i | 0.102904 | − | 0.994691i | \(-0.467187\pi\) |
0.914209 | − | 0.405244i | \(-0.132813\pi\) | |||||||
\(702\) | 10.4421 | − | 18.7403i | 0.394112 | − | 0.707306i | ||||
\(703\) | 5.31628 | + | 3.86250i | 0.200507 | + | 0.145677i | ||||
\(704\) | 1.05453 | − | 3.24551i | 0.0397441 | − | 0.122320i | ||||
\(705\) | −0.0504049 | + | 0.521750i | −0.00189836 | + | 0.0196502i | ||||
\(706\) | −25.0876 | + | 8.15145i | −0.944184 | + | 0.306784i | ||||
\(707\) | −0.449666 | −0.0169114 | ||||||||
\(708\) | 16.3800 | + | 16.7904i | 0.615597 | + | 0.631021i | ||||
\(709\) | 4.65849 | − | 1.51363i | 0.174953 | − | 0.0568457i | −0.220230 | − | 0.975448i | \(-0.570681\pi\) |
0.395184 | + | 0.918602i | \(0.370681\pi\) | |||||||
\(710\) | 1.86945 | + | 25.5131i | 0.0701592 | + | 0.957489i | ||||
\(711\) | −14.4550 | − | 11.0588i | −0.542104 | − | 0.414736i | ||||
\(712\) | 15.2862 | 0.572873 | ||||||||
\(713\) | −24.9742 | − | 24.7266i | −0.935291 | − | 0.926017i | ||||
\(714\) | 0.746572 | − | 0.728323i | 0.0279397 | − | 0.0272568i | ||||
\(715\) | −11.8989 | − | 29.1708i | −0.444995 | − | 1.09093i | ||||
\(716\) | −0.807389 | + | 0.586602i | −0.0301735 | + | 0.0219224i | ||||
\(717\) | 16.6831 | + | 8.76212i | 0.623042 | + | 0.327228i | ||||
\(718\) | − | 35.5655i | − | 1.32729i | ||||||
\(719\) | 21.9877 | 0.820002 | 0.410001 | − | 0.912085i | \(-0.365528\pi\) | ||||
0.410001 | + | 0.912085i | \(0.365528\pi\) | |||||||
\(720\) | 6.47270 | + | 1.76186i | 0.241223 | + | 0.0656608i | ||||
\(721\) | 0.313833 | − | 0.965879i | 0.0116878 | − | 0.0359712i | ||||
\(722\) | −1.52962 | + | 4.70767i | −0.0569264 | + | 0.175201i | ||||
\(723\) | −1.73362 | − | 11.8964i | −0.0644739 | − | 0.442433i | ||||
\(724\) | −9.96500 | + | 3.23782i | −0.370346 | + | 0.120333i | ||||
\(725\) | 0.336628 | − | 1.98638i | 0.0125020 | − | 0.0737725i | ||||
\(726\) | −0.188510 | + | 1.10180i | −0.00699626 | + | 0.0408917i | ||||
\(727\) | −35.7359 | − | 11.6113i | −1.32537 | − | 0.430639i | −0.441035 | − | 0.897490i | \(-0.645389\pi\) |
−0.884336 | + | 0.466850i | \(0.845389\pi\) | |||||||
\(728\) | −0.304231 | − | 0.418738i | −0.0112755 | − | 0.0155194i | ||||
\(729\) | −14.2065 | − | 22.9603i | −0.526165 | − | 0.850382i | ||||
\(730\) | 10.8424 | − | 9.15952i | 0.401293 | − | 0.339009i | ||||
\(731\) | −0.857281 | − | 1.17995i | −0.0317077 | − | 0.0436419i | ||||
\(732\) | −1.47055 | − | 10.0912i | −0.0543531 | − | 0.372981i | ||||
\(733\) | 24.7234 | − | 8.03313i | 0.913181 | − | 0.296710i | 0.185514 | − | 0.982642i | \(-0.440605\pi\) |
0.727667 | + | 0.685931i | \(0.240605\pi\) | |||||||
\(734\) | −7.44273 | − | 5.40746i | −0.274716 | − | 0.199593i | ||||
\(735\) | 2.60112 | − | 26.9247i | 0.0959439 | − | 0.993131i | ||||
\(736\) | −6.00314 | − | 1.95054i | −0.221279 | − | 0.0718979i | ||||
\(737\) | 10.3005 | − | 3.34685i | 0.379426 | − | 0.123283i | ||||
\(738\) | −1.60796 | − | 0.0397965i | −0.0591899 | − | 0.00146493i | ||||
\(739\) | − | 16.5012i | − | 0.607005i | −0.952831 | − | 0.303503i | \(-0.901844\pi\) | ||
0.952831 | − | 0.303503i | \(-0.0981562\pi\) | |||||||
\(740\) | −0.935684 | + | 3.80678i | −0.0343964 | + | 0.139940i | ||||
\(741\) | 4.52037 | − | 26.4206i | 0.166060 | − | 0.970585i | ||||
\(742\) | −0.148127 | − | 0.107620i | −0.00543790 | − | 0.00395087i | ||||
\(743\) | − | 15.2659i | − | 0.560053i | −0.959992 | − | 0.280027i | \(-0.909657\pi\) | ||
0.959992 | − | 0.280027i | \(-0.0903433\pi\) | |||||||
\(744\) | 5.61058 | + | 7.84355i | 0.205694 | + | 0.287559i | ||||
\(745\) | −1.02176 | + | 1.64734i | −0.0374343 | + | 0.0603538i | ||||
\(746\) | 2.98715 | − | 4.11146i | 0.109367 | − | 0.150531i | ||||
\(747\) | 18.3440 | − | 12.6463i | 0.671171 | − | 0.462703i | ||||
\(748\) | 15.5893 | − | 5.06525i | 0.569999 | − | 0.185204i | ||||
\(749\) | − | 0.411083i | − | 0.0150206i | ||||||
\(750\) | 12.1509 | + | 15.0783i | 0.443687 | + | 0.550583i | ||||
\(751\) | −7.94715 | − | 24.4588i | −0.289996 | − | 0.892515i | −0.984857 | − | 0.173371i | \(-0.944534\pi\) |
0.694861 | − | 0.719144i | \(-0.255466\pi\) | |||||||
\(752\) | −0.0418231 | + | 0.128718i | −0.00152513 | + | 0.00469387i | ||||
\(753\) | 11.8286 | + | 23.9428i | 0.431060 | + | 0.872524i | ||||
\(754\) | −1.34588 | − | 0.977842i | −0.0490142 | − | 0.0356109i | ||||
\(755\) | −1.98417 | − | 0.487697i | −0.0722114 | − | 0.0177491i | ||||
\(756\) | −0.646734 | + | 0.0779583i | −0.0235215 | + | 0.00283532i | ||||
\(757\) | 35.1542 | − | 25.5411i | 1.27770 | − | 0.928306i | 0.278222 | − | 0.960517i | \(-0.410255\pi\) |
0.999481 | + | 0.0322113i | \(0.0102550\pi\) | |||||||
\(758\) | 10.8833 | − | 33.4955i | 0.395300 | − | 1.21661i | ||||
\(759\) | 36.7743 | + | 6.29181i | 1.33482 | + | 0.228378i | ||||
\(760\) | 8.35914 | − | 0.612508i | 0.303218 | − | 0.0222180i | ||||
\(761\) | −0.0166934 | + | 0.0513772i | −0.000605137 | + | 0.00186242i | −0.951359 | − | 0.308086i | \(-0.900312\pi\) |
0.950753 | + | 0.309948i | \(0.100312\pi\) | |||||||
\(762\) | 5.35901 | − | 31.3223i | 0.194136 | − | 1.13469i | ||||
\(763\) | 0.162997 | − | 0.224346i | 0.00590089 | − | 0.00812188i | ||||
\(764\) | 23.1486 | − | 7.52142i | 0.837485 | − | 0.272115i | ||||
\(765\) | 11.4280 | + | 30.1271i | 0.413180 | + | 1.08925i | ||||
\(766\) | 24.9717 | + | 8.11379i | 0.902264 | + | 0.293163i | ||||
\(767\) | 53.1768 | + | 17.2782i | 1.92010 | + | 0.623879i | ||||
\(768\) | 1.53342 | + | 0.805368i | 0.0553326 | + | 0.0290612i | ||||
\(769\) | −23.6226 | −0.851853 | −0.425926 | − | 0.904758i | \(-0.640052\pi\) | ||||
−0.425926 | + | 0.904758i | \(0.640052\pi\) | |||||||
\(770\) | −0.504225 | + | 0.812940i | −0.0181710 | + | 0.0292963i | ||||
\(771\) | −20.2583 | − | 10.6398i | −0.729583 | − | 0.383184i | ||||
\(772\) | −1.06257 | − | 1.46250i | −0.0382427 | − | 0.0526366i | ||||
\(773\) | −4.50190 | + | 6.19633i | −0.161922 | + | 0.222866i | −0.882267 | − | 0.470750i | \(-0.843984\pi\) |
0.720345 | + | 0.693616i | \(0.243984\pi\) | |||||||
\(774\) | −0.0225382 | + | 0.910648i | −0.000810119 | + | 0.0327326i | ||||
\(775\) | −0.161762 | + | 27.8384i | −0.00581066 | + | 0.999983i | ||||
\(776\) | 5.94283i | 0.213335i | ||||||||
\(777\) | −0.0548936 | − | 0.376691i | −0.00196930 | − | 0.0135137i | ||||
\(778\) | −24.1947 | + | 17.5785i | −0.867423 | + | 0.630220i | ||||
\(779\) | −1.91132 | + | 0.621025i | −0.0684801 | + | 0.0222505i | ||||
\(780\) | 15.6123 | − | 3.45599i | 0.559008 | − | 0.123744i | ||||
\(781\) | − | 39.0407i | − | 1.39699i | ||||||
\(782\) | −9.36908 | − | 28.8351i | −0.335038 | − | 1.03114i | ||||
\(783\) | −1.89953 | + | 0.880658i | −0.0678836 | + | 0.0314722i | ||||
\(784\) | 2.15826 | − | 6.64245i | 0.0770808 | − | 0.237230i | ||||
\(785\) | 5.44998 | − | 2.22308i | 0.194518 | − | 0.0793450i | ||||
\(786\) | 6.87282 | − | 13.0859i | 0.245145 | − | 0.466757i | ||||
\(787\) | −2.00845 | − | 1.45922i | −0.0715934 | − | 0.0520157i | 0.551413 | − | 0.834232i | \(-0.314089\pi\) |
−0.623006 | + | 0.782217i | \(0.714089\pi\) | |||||||
\(788\) | −14.2982 | − | 19.6798i | −0.509352 | − | 0.701063i | ||||
\(789\) | −40.8841 | + | 20.1983i | −1.45551 | + | 0.719079i | ||||
\(790\) | −0.991345 | − | 13.5293i | −0.0352705 | − | 0.481350i | ||||
\(791\) | 0.192735 | + | 0.265277i | 0.00685287 | + | 0.00943217i | ||||
\(792\) | −9.65528 | − | 3.40352i | −0.343085 | − | 0.120939i | ||||
\(793\) | −14.2880 | − | 19.6658i | −0.507382 | − | 0.698352i | ||||
\(794\) | −9.38632 | + | 12.9192i | −0.333108 | + | 0.458484i | ||||
\(795\) | 4.87468 | − | 2.86934i | 0.172887 | − | 0.101765i | ||||
\(796\) | −8.80053 | + | 12.1129i | −0.311926 | + | 0.429330i | ||||
\(797\) | 20.5649 | + | 6.68195i | 0.728447 | + | 0.236687i | 0.649681 | − | 0.760207i | \(-0.274902\pi\) |
0.0787651 | + | 0.996893i | \(0.474902\pi\) | |||||||
\(798\) | −0.729714 | + | 0.360507i | −0.0258316 | + | 0.0127618i | ||||
\(799\) | −0.618276 | + | 0.200890i | −0.0218730 | + | 0.00710698i | ||||
\(800\) | 2.22174 | + | 4.47927i | 0.0785503 | + | 0.158366i | ||||
\(801\) | 1.13463 | − | 45.8445i | 0.0400903 | − | 1.61983i | ||||
\(802\) | −11.2001 | − | 34.4703i | −0.395488 | − | 1.21719i | ||||
\(803\) | −17.5241 | + | 12.7320i | −0.618413 | + | 0.449303i | ||||
\(804\) | 0.792705 | + | 5.43970i | 0.0279566 | + | 0.191843i | ||||
\(805\) | 1.50368 | + | 0.932653i | 0.0529976 | + | 0.0328717i | ||||
\(806\) | 20.5336 | + | 10.3339i | 0.723266 | + | 0.363995i | ||||
\(807\) | 8.94575 | − | 8.72708i | 0.314905 | − | 0.307208i | ||||
\(808\) | 2.10830 | − | 2.90183i | 0.0741698 | − | 0.102086i | ||||
\(809\) | −17.4111 | + | 12.6499i | −0.612142 | + | 0.444747i | −0.850168 | − | 0.526512i | \(-0.823500\pi\) |
0.238026 | + | 0.971259i | \(0.423500\pi\) | |||||||
\(810\) | 5.76442 | − | 19.2814i | 0.202541 | − | 0.677479i | ||||
\(811\) | 0.959122 | 0.0336793 | 0.0168397 | − | 0.999858i | \(-0.494640\pi\) | ||||
0.0168397 | + | 0.999858i | \(0.494640\pi\) | |||||||
\(812\) | 0.0505147i | 0.00177272i | ||||||||
\(813\) | −7.12204 | + | 13.5604i | −0.249781 | + | 0.475584i | ||||
\(814\) | 1.84872 | − | 5.68976i | 0.0647974 | − | 0.199426i | ||||
\(815\) | 17.8881 | + | 21.1746i | 0.626592 | + | 0.741713i | ||||
\(816\) | 1.19971 | + | 8.23265i | 0.0419983 | + | 0.288201i | ||||
\(817\) | 0.351709 | + | 1.08245i | 0.0123047 | + | 0.0378701i | ||||
\(818\) | −6.46545 | + | 8.89893i | −0.226059 | + | 0.311144i | ||||
\(819\) | −1.27841 | + | 0.881331i | −0.0446713 | + | 0.0307962i | ||||
\(820\) | −0.773673 | − | 0.915817i | −0.0270178 | − | 0.0319817i | ||||
\(821\) | −21.2137 | + | 15.4126i | −0.740362 | + | 0.537904i | −0.892824 | − | 0.450405i | \(-0.851280\pi\) |
0.152463 | + | 0.988309i | \(0.451280\pi\) | |||||||
\(822\) | 36.2310 | + | 6.19887i | 1.26370 | + | 0.216210i | ||||
\(823\) | −4.15819 | + | 12.7976i | −0.144945 | + | 0.446096i | −0.997004 | − | 0.0773505i | \(-0.975354\pi\) |
0.852059 | + | 0.523446i | \(0.175354\pi\) | |||||||
\(824\) | 4.76167 | + | 6.55387i | 0.165880 | + | 0.228315i | ||||
\(825\) | −16.8126 | − | 24.3051i | −0.585339 | − | 0.846197i | ||||
\(826\) | −0.524646 | − | 1.61469i | −0.0182548 | − | 0.0561824i | ||||
\(827\) | −10.6726 | + | 14.6896i | −0.371123 | + | 0.510808i | −0.953206 | − | 0.302322i | \(-0.902238\pi\) |
0.582082 | + | 0.813130i | \(0.302238\pi\) | |||||||
\(828\) | −6.29542 | + | 17.8591i | −0.218781 | + | 0.620648i | ||||
\(829\) | 28.2284 | + | 9.17197i | 0.980413 | + | 0.318556i | 0.755012 | − | 0.655710i | \(-0.227631\pi\) |
0.225401 | + | 0.974266i | \(0.427631\pi\) | |||||||
\(830\) | 16.1270 | + | 3.96393i | 0.559778 | + | 0.137590i | ||||
\(831\) | −39.5534 | + | 38.5865i | −1.37209 | + | 1.33855i | ||||
\(832\) | 4.12865 | 0.143135 | ||||||||
\(833\) | 31.9059 | − | 10.3668i | 1.10547 | − | 0.359190i | ||||
\(834\) | −33.3479 | − | 5.70558i | −1.15474 | − | 0.197568i | ||||
\(835\) | −9.99302 | + | 4.07621i | −0.345823 | + | 0.141063i | ||||
\(836\) | −12.7913 | −0.442397 | ||||||||
\(837\) | 23.9399 | − | 16.2444i | 0.827484 | − | 0.561489i | ||||
\(838\) | 2.42569i | 0.0837941i | ||||||||
\(839\) | 15.2358 | − | 20.9703i | 0.526000 | − | 0.723976i | −0.460515 | − | 0.887652i | \(-0.652335\pi\) |
0.986514 | + | 0.163676i | \(0.0523351\pi\) | |||||||
\(840\) | −0.363544 | − | 0.321841i | −0.0125435 | − | 0.0111046i | ||||
\(841\) | −8.91132 | − | 27.4262i | −0.307287 | − | 0.945732i | ||||
\(842\) | 15.6529 | 0.539436 | ||||||||
\(843\) | 28.7823 | + | 29.5034i | 0.991315 | + | 1.01615i | ||||
\(844\) | 5.82217 | + | 17.9188i | 0.200407 | + | 0.616790i | ||||
\(845\) | 6.91069 | − | 5.83808i | 0.237735 | − | 0.200836i | ||||
\(846\) | 0.382932 | + | 0.134985i | 0.0131655 | + | 0.00464089i | ||||
\(847\) | 0.0475557 | − | 0.0654548i | 0.00163403 | − | 0.00224905i | ||||
\(848\) | 1.38901 | − | 0.451317i | 0.0476988 | − | 0.0154983i | ||||
\(849\) | 6.40669 | + | 43.9640i | 0.219877 | + | 1.50884i | ||||
\(850\) | −11.1336 | + | 21.2801i | −0.381881 | + | 0.729900i | ||||
\(851\) | −10.5242 | − | 3.41953i | −0.360766 | − | 0.117220i | ||||
\(852\) | 19.5315 | + | 3.34170i | 0.669139 | + | 0.114485i | ||||
\(853\) | 18.6237 | + | 25.6333i | 0.637664 | + | 0.877669i | 0.998488 | − | 0.0549647i | \(-0.0175046\pi\) |
−0.360824 | + | 0.932634i | \(0.617505\pi\) | |||||||
\(854\) | −0.228089 | + | 0.701985i | −0.00780503 | + | 0.0240214i | ||||
\(855\) | −1.21649 | − | 25.1152i | −0.0416032 | − | 0.858921i | ||||
\(856\) | 2.65284 | + | 1.92740i | 0.0906721 | + | 0.0658772i | ||||
\(857\) | 11.5370 | + | 35.5073i | 0.394097 | + | 1.21291i | 0.929662 | + | 0.368413i | \(0.120099\pi\) |
−0.535565 | + | 0.844494i | \(0.679901\pi\) | |||||||
\(858\) | −24.1481 | + | 3.51900i | −0.824401 | + | 0.120137i | ||||
\(859\) | −40.9510 | − | 13.3058i | −1.39723 | − | 0.453988i | −0.488936 | − | 0.872320i | \(-0.662615\pi\) |
−0.908294 | + | 0.418332i | \(0.862615\pi\) | |||||||
\(860\) | −0.518661 | + | 0.438160i | −0.0176862 | + | 0.0149411i | ||||
\(861\) | 0.103068 | + | 0.0541325i | 0.00351256 | + | 0.00184483i | ||||
\(862\) | 14.7163i | 0.501238i | ||||||||
\(863\) | 13.9110i | 0.473534i | 0.971566 | + | 0.236767i | \(0.0760879\pi\) | ||||
−0.971566 | + | 0.236767i | \(0.923912\pi\) | |||||||
\(864\) | 2.52918 | − | 4.53908i | 0.0860446 | − | 0.154423i | ||||
\(865\) | 50.8405 | − | 3.72529i | 1.72863 | − | 0.126664i | ||||
\(866\) | 14.0116 | + | 10.1800i | 0.476133 | + | 0.345931i | ||||
\(867\) | −7.52805 | + | 7.34404i | −0.255666 | + | 0.249417i | ||||
\(868\) | −0.112625 | − | 0.688856i | −0.00382274 | − | 0.0233813i | ||||
\(869\) | 20.7028i | 0.702294i | ||||||||
\(870\) | −1.43095 | − | 0.622733i | −0.0485139 | − | 0.0211126i | ||||
\(871\) | 7.70201 | + | 10.6009i | 0.260973 | + | 0.359198i | ||||
\(872\) | 0.683545 | + | 2.10374i | 0.0231478 | + | 0.0712415i | ||||
\(873\) | 17.8230 | + | 0.441114i | 0.603218 | + | 0.0149294i | ||||
\(874\) | 23.6598i | 0.800306i | ||||||||
\(875\) | −0.305096 | − | 1.36801i | −0.0103141 | − | 0.0462473i | ||||
\(876\) | −4.86968 | − | 9.85689i | −0.164531 | − | 0.333033i | ||||
\(877\) | 19.7985 | + | 6.43293i | 0.668549 | + | 0.217225i | 0.623575 | − | 0.781763i | \(-0.285680\pi\) |
0.0449739 | + | 0.998988i | \(0.485680\pi\) | |||||||
\(878\) | −5.63480 | − | 4.09392i | −0.190165 | − | 0.138163i | ||||
\(879\) | 22.5318 | + | 11.8339i | 0.759978 | + | 0.399148i | ||||
\(880\) | −2.88204 | − | 7.06546i | −0.0971535 | − | 0.238177i | ||||
\(881\) | −20.0324 | + | 14.5544i | −0.674910 | + | 0.490351i | −0.871665 | − | 0.490102i | \(-0.836960\pi\) |
0.196755 | + | 0.980453i | \(0.436960\pi\) | |||||||
\(882\) | −19.7610 | − | 6.96585i | −0.665389 | − | 0.234552i | ||||
\(883\) | −19.6991 | + | 14.3122i | −0.662926 | + | 0.481644i | −0.867650 | − | 0.497176i | \(-0.834370\pi\) |
0.204724 | + | 0.978820i | \(0.434370\pi\) | |||||||
\(884\) | 11.6565 | + | 16.0438i | 0.392051 | + | 0.539612i | ||||
\(885\) | 52.2079 | + | 5.04367i | 1.75495 | + | 0.169541i | ||||
\(886\) | −16.5565 | + | 12.0290i | −0.556226 | + | 0.404122i | ||||
\(887\) | 12.5618 | + | 9.12669i | 0.421784 | + | 0.306444i | 0.778355 | − | 0.627824i | \(-0.216054\pi\) |
−0.356571 | + | 0.934268i | \(0.616054\pi\) | |||||||
\(888\) | 2.68827 | + | 1.41190i | 0.0902124 | + | 0.0473804i | ||||
\(889\) | −1.35193 | + | 1.86077i | −0.0453421 | + | 0.0624081i | ||||
\(890\) | 26.1108 | − | 22.0581i | 0.875236 | − | 0.739391i | ||||
\(891\) | −10.9241 | + | 28.7043i | −0.365972 | + | 0.961631i | ||||
\(892\) | −0.118282 | − | 0.364033i | −0.00396036 | − | 0.0121887i | ||||
\(893\) | 0.507310 | 0.0169765 | ||||||||
\(894\) | 1.04853 | + | 1.07480i | 0.0350682 | + | 0.0359468i | ||||
\(895\) | −0.532651 | + | 2.16707i | −0.0178046 | + | 0.0724370i | ||||
\(896\) | −0.0736877 | − | 0.101422i | −0.00246173 | − | 0.00338828i | ||||
\(897\) | 6.50901 | + | 44.6661i | 0.217330 | + | 1.49136i | ||||
\(898\) | 28.4173 | 0.948298 | ||||||||
\(899\) | −1.02847 | − | 1.99386i | −0.0343013 | − | 0.0664989i | ||||
\(900\) | 13.5986 | − | 6.33070i | 0.453287 | − | 0.211023i | ||||
\(901\) | 5.67544 | + | 4.12345i | 0.189076 | + | 0.137372i | ||||
\(902\) | 1.07543 | + | 1.48020i | 0.0358079 | + | 0.0492854i | ||||
\(903\) | 0.0306572 | − | 0.0583714i | 0.00102021 | − | 0.00194248i | ||||
\(904\) | −2.61557 | −0.0869925 | ||||||||
\(905\) | −12.3493 | + | 19.9103i | −0.410505 | + | 0.661839i | ||||
\(906\) | −0.735912 | + | 1.40118i | −0.0244490 | + | 0.0465510i | ||||
\(907\) | −47.2371 | − | 15.3483i | −1.56848 | − | 0.509631i | −0.609426 | − | 0.792843i | \(-0.708600\pi\) |
−0.959057 | + | 0.283212i | \(0.908600\pi\) | |||||||
\(908\) | −4.86255 | + | 14.9654i | −0.161369 | + | 0.496644i | ||||
\(909\) | −8.54632 | − | 6.53836i | −0.283464 | − | 0.216864i | ||||
\(910\) | −1.12391 | − | 0.276250i | −0.0372573 | − | 0.00915760i | ||||
\(911\) | −39.9347 | − | 29.0142i | −1.32309 | − | 0.961284i | −0.999888 | − | 0.0149555i | \(-0.995239\pi\) |
−0.323206 | − | 0.946329i | \(-0.604761\pi\) | |||||||
\(912\) | 1.09488 | − | 6.39933i | 0.0362550 | − | 0.211903i | ||||
\(913\) | −24.1041 | − | 7.83189i | −0.797728 | − | 0.259198i | ||||
\(914\) | 31.1070 | − | 22.6006i | 1.02893 | − | 0.747560i | ||||
\(915\) | −17.0736 | − | 15.1151i | −0.564436 | − | 0.499689i | ||||
\(916\) | −25.7624 | − | 8.37071i | −0.851213 | − | 0.276576i | ||||
\(917\) | −0.865515 | + | 0.628833i | −0.0285818 | + | 0.0207659i | ||||
\(918\) | 24.7795 | − | 2.98695i | 0.817844 | − | 0.0985841i | ||||
\(919\) | −11.7227 | − | 36.0788i | −0.386696 | − | 1.19013i | −0.935242 | − | 0.354008i | \(-0.884818\pi\) |
0.548546 | − | 0.836120i | \(-0.315182\pi\) | |||||||
\(920\) | −13.0688 | + | 5.33084i | −0.430866 | + | 0.175753i | ||||
\(921\) | −39.8095 | + | 19.6674i | −1.31177 | + | 0.648063i | ||||
\(922\) | 6.30414 | − | 19.4021i | 0.207616 | − | 0.638975i | ||||
\(923\) | 44.9216 | − | 14.5959i | 1.47861 | − | 0.480430i | ||||
\(924\) | 0.517438 | + | 0.530403i | 0.0170225 | + | 0.0174490i | ||||
\(925\) | 3.89497 | + | 7.85269i | 0.128066 | + | 0.258195i | ||||
\(926\) | 7.50759 | + | 23.1060i | 0.246715 | + | 0.759310i | ||||
\(927\) | 20.0090 | − | 13.7942i | 0.657183 | − | 0.453060i | ||||
\(928\) | −0.325986 | − | 0.236843i | −0.0107010 | − | 0.00777475i | ||||
\(929\) | 28.3219 | 0.929212 | 0.464606 | − | 0.885517i | \(-0.346196\pi\) | ||||
0.464606 | + | 0.885517i | \(0.346196\pi\) | |||||||
\(930\) | 20.9020 | + | 5.30167i | 0.685403 | + | 0.173849i | ||||
\(931\) | −26.1795 | −0.857998 | ||||||||
\(932\) | −2.22973 | − | 1.61999i | −0.0730371 | − | 0.0530645i | ||||
\(933\) | −21.1166 | − | 3.61290i | −0.691328 | − | 0.118281i | ||||
\(934\) | −9.09076 | − | 27.9785i | −0.297459 | − | 0.915484i | ||||
\(935\) | 19.3193 | − | 31.1476i | 0.631807 | − | 1.01864i | ||||
\(936\) | 0.306454 | − | 12.3822i | 0.0100168 | − | 0.404724i | ||||
\(937\) | −17.1875 | + | 5.58454i | −0.561490 | + | 0.182439i | −0.575991 | − | 0.817456i | \(-0.695384\pi\) |
0.0145016 | + | 0.999895i | \(0.495384\pi\) | |||||||
\(938\) | 0.122952 | − | 0.378408i | 0.00401453 | − | 0.0123554i | ||||
\(939\) | −6.05995 | − | 12.2662i | −0.197759 | − | 0.400291i | ||||
\(940\) | 0.114303 | + | 0.280219i | 0.00372815 | + | 0.00913974i | ||||
\(941\) | 11.9287 | + | 36.7128i | 0.388865 | + | 1.19680i | 0.933638 | + | 0.358219i | \(0.116616\pi\) |
−0.544773 | + | 0.838584i | \(0.683384\pi\) | |||||||
\(942\) | −0.657455 | − | 4.51158i | −0.0214210 | − | 0.146995i | ||||
\(943\) | 2.73790 | − | 1.98920i | 0.0891583 | − | 0.0647773i | ||||
\(944\) | 12.8799 | + | 4.18495i | 0.419207 | + | 0.136209i | ||||
\(945\) | −0.992212 | + | 1.06641i | −0.0322766 | + | 0.0346903i | ||||
\(946\) | 0.838294 | − | 0.609056i | 0.0272553 | − | 0.0198021i | ||||
\(947\) | 26.8873 | + | 8.73623i | 0.873721 | + | 0.283889i | 0.711348 | − | 0.702840i | \(-0.248085\pi\) |
0.162373 | + | 0.986729i | \(0.448085\pi\) | |||||||
\(948\) | −10.3573 | − | 1.77206i | −0.336390 | − | 0.0575539i | ||||
\(949\) | −21.2016 | − | 15.4038i | −0.688232 | − | 0.500030i | ||||
\(950\) | 13.3946 | − | 13.1086i | 0.434580 | − | 0.425299i | ||||
\(951\) | 11.7391 | − | 1.71069i | 0.380666 | − | 0.0554729i | ||||
\(952\) | 0.186081 | − | 0.572697i | 0.00603090 | − | 0.0185612i | ||||
\(953\) | −1.32086 | − | 0.429175i | −0.0427870 | − | 0.0139023i | 0.287545 | − | 0.957767i | \(-0.407161\pi\) |
−0.330332 | + | 0.943865i | \(0.607161\pi\) | |||||||
\(954\) | −1.25044 | − | 4.19926i | −0.0404844 | − | 0.135956i | ||||
\(955\) | 28.6873 | − | 46.2512i | 0.928298 | − | 1.49666i | ||||
\(956\) | 10.8797 | 0.351873 | ||||||||
\(957\) | 2.10853 | + | 1.10742i | 0.0681591 | + | 0.0357978i | ||||
\(958\) | −0.830540 | − | 1.14314i | −0.0268335 | − | 0.0369332i | ||||
\(959\) | −2.15238 | − | 1.56380i | −0.0695040 | − | 0.0504976i | ||||
\(960\) | 3.78144 | − | 0.837074i | 0.122046 | − | 0.0270165i | ||||
\(961\) | 18.4703 | + | 24.8967i | 0.595817 | + | 0.803120i | ||||
\(962\) | 7.23801 | 0.233363 | ||||||||
\(963\) | 5.97734 | − | 7.81301i | 0.192617 | − | 0.251771i | ||||
\(964\) | −4.07979 | − | 5.61535i | −0.131401 | − | 0.180858i | ||||
\(965\) | −3.92542 | − | 0.964843i | −0.126364 | − | 0.0310594i | ||||
\(966\) | 0.981074 | − | 0.957093i | 0.0315655 | − | 0.0307940i | ||||
\(967\) | −21.3419 | −0.686308 | −0.343154 | − | 0.939279i | \(-0.611495\pi\) | ||||
−0.343154 | + | 0.939279i | \(0.611495\pi\) | |||||||
\(968\) | 0.199430 | + | 0.613782i | 0.00640991 | + | 0.0197277i | ||||
\(969\) | 27.9588 | − | 13.8127i | 0.898167 | − | 0.443729i | ||||
\(970\) | 8.57558 | + | 10.1511i | 0.275345 | + | 0.325933i | ||||
\(971\) | −30.7663 | + | 42.3462i | −0.987338 | + | 1.35895i | −0.0545564 | + | 0.998511i | \(0.517374\pi\) |
−0.932781 | + | 0.360443i | \(0.882626\pi\) | |||||||
\(972\) | −13.4253 | − | 7.92215i | −0.430618 | − | 0.254103i | ||||
\(973\) | 1.98110 | + | 1.43936i | 0.0635112 | + | 0.0461436i | ||||
\(974\) | −32.5565 | + | 23.6537i | −1.04318 | + | 0.757912i | ||||
\(975\) | 21.6807 | − | 28.4320i | 0.694340 | − | 0.910552i | ||||
\(976\) | −3.46070 | − | 4.76324i | −0.110774 | − | 0.152468i | ||||
\(977\) | −39.8257 | + | 28.9351i | −1.27414 | + | 0.925715i | −0.999359 | − | 0.0357929i | \(-0.988604\pi\) |
−0.274778 | + | 0.961508i | \(0.588604\pi\) | |||||||
\(978\) | 19.2500 | − | 9.51024i | 0.615548 | − | 0.304104i | ||||
\(979\) | −42.2020 | + | 30.6615i | −1.34878 | + | 0.979947i | ||||
\(980\) | −5.89855 | − | 14.4606i | −0.188422 | − | 0.461926i | ||||
\(981\) | 6.36001 | − | 1.89386i | 0.203060 | − | 0.0604662i | ||||
\(982\) | 31.9047 | + | 23.1802i | 1.01812 | + | 0.739708i | ||||
\(983\) | 29.5139 | + | 9.58964i | 0.941346 | + | 0.305862i | 0.739194 | − | 0.673492i | \(-0.235207\pi\) |
0.202152 | + | 0.979354i | \(0.435207\pi\) | |||||||
\(984\) | −0.832578 | + | 0.411325i | −0.0265416 | + | 0.0131126i | ||||
\(985\) | −52.8214 | − | 12.9832i | −1.68303 | − | 0.413678i | ||||
\(986\) | − | 1.93546i | − | 0.0616376i | ||||||
\(987\) | −0.0205218 | − | 0.0210360i | −0.000653216 | − | 0.000669583i | ||||
\(988\) | −4.78222 | − | 14.7182i | −0.152143 | − | 0.468247i | ||||
\(989\) | −1.12656 | − | 1.55057i | −0.0358224 | − | 0.0493054i | ||||
\(990\) | −21.4038 | + | 8.11902i | −0.680258 | + | 0.258040i | ||||
\(991\) | − | 0.0126434i | − | 0.000401632i | −1.00000 | 0.000200816i | \(-0.999936\pi\) | |||
1.00000 | 0.000200816i | \(-6.39217e-5\pi\) | ||||||||
\(992\) | 4.97345 | + | 2.50296i | 0.157907 | + | 0.0794692i | ||||
\(993\) | 34.3220 | + | 35.1820i | 1.08918 | + | 1.11647i | ||||
\(994\) | −1.16031 | − | 0.843016i | −0.0368029 | − | 0.0267388i | ||||
\(995\) | 2.44660 | + | 33.3897i | 0.0775624 | + | 1.05852i | ||||
\(996\) | 5.98138 | − | 11.3886i | 0.189527 | − | 0.360861i | ||||
\(997\) | − | 42.9893i | − | 1.36149i | −0.732523 | − | 0.680743i | \(-0.761657\pi\) | ||
0.732523 | − | 0.680743i | \(-0.238343\pi\) | |||||||
\(998\) | 30.6342i | 0.969708i | ||||||||
\(999\) | 4.43396 | − | 7.95754i | 0.140284 | − | 0.251765i |
(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 | 930.2.y.a.29.14 | ✓ | 128 | |
3.2 | odd | 2 | 930.2.y.b.29.2 | yes | 128 | ||
5.4 | even | 2 | 930.2.y.b.29.19 | yes | 128 | ||
15.14 | odd | 2 | inner | 930.2.y.a.29.31 | yes | 128 | |
31.15 | odd | 10 | inner | 930.2.y.a.449.31 | yes | 128 | |
93.77 | even | 10 | 930.2.y.b.449.19 | yes | 128 | ||
155.139 | odd | 10 | 930.2.y.b.449.2 | yes | 128 | ||
465.449 | even | 10 | inner | 930.2.y.a.449.14 | yes | 128 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.y.a.29.14 | ✓ | 128 | 1.1 | even | 1 | trivial | |
930.2.y.a.29.31 | yes | 128 | 15.14 | odd | 2 | inner | |
930.2.y.a.449.14 | yes | 128 | 465.449 | even | 10 | inner | |
930.2.y.a.449.31 | yes | 128 | 31.15 | odd | 10 | inner | |
930.2.y.b.29.2 | yes | 128 | 3.2 | odd | 2 | ||
930.2.y.b.29.19 | yes | 128 | 5.4 | even | 2 | ||
930.2.y.b.449.2 | yes | 128 | 155.139 | odd | 10 | ||
930.2.y.b.449.19 | yes | 128 | 93.77 | even | 10 |