Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [603,2,Mod(37,603)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(603, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("603.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 603 = 3^{2} \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 603.g (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.81497924188\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 11x^{10} + 89x^{8} + 326x^{6} + 881x^{4} + 416x^{2} + 169 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 37.2 | ||
Root | \(1.04923 + 1.81733i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 603.37 |
Dual form | 603.2.g.h.163.2 |
$q$-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 \(\left(\mathbb{Z}/603\mathbb{Z}\right)^\times\).
\(n\) | \(136\) | \(470\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.04923 | − | 1.81733i | −0.741921 | − | 1.28505i | −0.951619 | − | 0.307279i | \(-0.900582\pi\) |
0.209698 | − | 0.977766i | \(-0.432752\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.20179 | + | 2.08156i | −0.600894 | + | 1.04078i | ||||
\(5\) | 1.25158 | 0.559723 | 0.279861 | − | 0.960040i | \(-0.409711\pi\) | ||||
0.279861 | + | 0.960040i | \(0.409711\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.51499 | + | 2.62404i | −0.572612 | + | 0.991792i | 0.423685 | + | 0.905810i | \(0.360736\pi\) |
−0.996297 | + | 0.0859827i | \(0.972597\pi\) | |||||||
\(8\) | 0.846891 | 0.299421 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.31320 | − | 2.27453i | −0.415270 | − | 0.719269i | ||||
\(11\) | 2.09847 | − | 3.63466i | 0.632712 | − | 1.09589i | −0.354282 | − | 0.935138i | \(-0.615275\pi\) |
0.986995 | − | 0.160752i | \(-0.0513918\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.798212 | − | 1.38254i | −0.221384 | − | 0.383449i | 0.733844 | − | 0.679318i | \(-0.237724\pi\) |
−0.955229 | + | 0.295869i | \(0.904391\pi\) | |||||||
\(14\) | 6.35831 | 1.69933 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.51499 | + | 2.62404i | 0.378747 | + | 0.656009i | ||||
\(17\) | −0.423446 | − | 0.733429i | −0.102701 | − | 0.177883i | 0.810096 | − | 0.586298i | \(-0.199415\pi\) |
−0.912796 | + | 0.408415i | \(0.866082\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.21678 | − | 5.57162i | −0.737979 | − | 1.27822i | −0.953404 | − | 0.301697i | \(-0.902447\pi\) |
0.215425 | − | 0.976520i | \(-0.430886\pi\) | |||||||
\(20\) | −1.50413 | + | 2.60523i | −0.336334 | + | 0.582548i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −8.80715 | −1.87769 | ||||||||
\(23\) | −2.97681 | − | 5.15599i | −0.620708 | − | 1.07510i | −0.989354 | − | 0.145528i | \(-0.953512\pi\) |
0.368646 | − | 0.929570i | \(-0.379822\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.43355 | −0.686710 | ||||||||
\(26\) | −1.67502 | + | 2.90123i | −0.328499 | + | 0.568977i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.64139 | − | 6.30707i | −0.688158 | − | 1.19192i | ||||
\(29\) | 3.60260 | − | 6.23989i | 0.668986 | − | 1.15872i | −0.309202 | − | 0.950997i | \(-0.600062\pi\) |
0.978188 | − | 0.207722i | \(-0.0666049\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.02998 | − | 6.98012i | 0.723805 | − | 1.25367i | −0.235659 | − | 0.971836i | \(-0.575725\pi\) |
0.959464 | − | 0.281831i | \(-0.0909418\pi\) | |||||||
\(32\) | 4.02605 | − | 6.97332i | 0.711711 | − | 1.23272i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.888588 | + | 1.53908i | −0.152392 | + | 0.263950i | ||||
\(35\) | −1.89613 | + | 3.28419i | −0.320504 | + | 0.555129i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.23176 | + | 2.13348i | 0.202501 | + | 0.350741i | 0.949334 | − | 0.314270i | \(-0.101760\pi\) |
−0.746833 | + | 0.665012i | \(0.768427\pi\) | |||||||
\(38\) | −6.75031 | + | 11.6919i | −1.09504 | + | 1.89667i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.05995 | 0.167593 | ||||||||
\(41\) | 2.55337 | − | 4.42256i | 0.398769 | − | 0.690688i | −0.594805 | − | 0.803870i | \(-0.702771\pi\) |
0.993574 | + | 0.113182i | \(0.0361042\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.596424 | 0.0909539 | 0.0454769 | − | 0.998965i | \(-0.485519\pi\) | ||||
0.0454769 | + | 0.998965i | \(0.485519\pi\) | |||||||
\(44\) | 5.04383 | + | 8.73617i | 0.760386 | + | 1.31703i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.24675 | + | 10.8197i | −0.921033 | + | 1.59528i | ||||
\(47\) | −1.30179 | + | 2.25476i | −0.189885 | + | 0.328891i | −0.945212 | − | 0.326458i | \(-0.894145\pi\) |
0.755327 | + | 0.655349i | \(0.227478\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.09038 | − | 1.88859i | −0.155768 | − | 0.269798i | ||||
\(50\) | 3.60260 | + | 6.23989i | 0.509485 | + | 0.882454i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.83713 | 0.532114 | ||||||||
\(53\) | −7.54699 | −1.03666 | −0.518329 | − | 0.855181i | \(-0.673446\pi\) | ||||
−0.518329 | + | 0.855181i | \(0.673446\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.62640 | − | 4.54906i | 0.354144 | − | 0.613395i | ||||
\(56\) | −1.28303 | + | 2.22227i | −0.171452 | + | 0.296964i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −15.1199 | −1.98534 | ||||||||
\(59\) | −10.5553 | −1.37418 | −0.687088 | − | 0.726574i | \(-0.741111\pi\) | ||||
−0.687088 | + | 0.726574i | \(0.741111\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.51499 | + | 6.08814i | 0.450048 | + | 0.779506i | 0.998388 | − | 0.0567491i | \(-0.0180735\pi\) |
−0.548340 | + | 0.836255i | \(0.684740\pi\) | |||||||
\(62\) | −16.9136 | −2.14802 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −10.8371 | −1.35464 | ||||||||
\(65\) | −0.999025 | − | 1.73036i | −0.123914 | − | 0.214625i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.32819 | + | 3.64660i | 0.895281 | + | 0.445503i | ||||
\(68\) | 2.03557 | 0.246849 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 7.95793 | 0.951154 | ||||||||
\(71\) | −2.97681 | + | 5.15599i | −0.353283 | + | 0.611903i | −0.986822 | − | 0.161807i | \(-0.948268\pi\) |
0.633540 | + | 0.773710i | \(0.281601\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.92461 | + | 8.52968i | 0.576382 | + | 0.998323i | 0.995890 | + | 0.0905716i | \(0.0288694\pi\) |
−0.419508 | + | 0.907752i | \(0.637797\pi\) | |||||||
\(74\) | 2.58482 | − | 4.47704i | 0.300479 | − | 0.520445i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 15.4635 | 1.77379 | ||||||||
\(77\) | 6.35831 | + | 11.0129i | 0.724597 | + | 1.25504i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.60536 | − | 7.97672i | 0.518144 | − | 0.897452i | −0.481634 | − | 0.876372i | \(-0.659957\pi\) |
0.999778 | − | 0.0210790i | \(-0.00671016\pi\) | |||||||
\(80\) | 1.89613 | + | 3.28419i | 0.211993 | + | 0.367183i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −10.7163 | −1.18342 | ||||||||
\(83\) | −1.67502 | − | 2.90123i | −0.183858 | − | 0.318451i | 0.759333 | − | 0.650702i | \(-0.225525\pi\) |
−0.943191 | + | 0.332251i | \(0.892192\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.529975 | − | 0.917944i | −0.0574839 | − | 0.0995651i | ||||
\(86\) | −0.625789 | − | 1.08390i | −0.0674806 | − | 0.116880i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.77718 | − | 3.07816i | 0.189448 | − | 0.328133i | ||||
\(89\) | −8.89899 | −0.943291 | −0.471645 | − | 0.881788i | \(-0.656340\pi\) | ||||
−0.471645 | + | 0.881788i | \(0.656340\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.83713 | 0.507069 | ||||||||
\(92\) | 14.3100 | 1.49192 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.46353 | 0.563520 | ||||||||
\(95\) | −4.02605 | − | 6.97332i | −0.413064 | − | 0.715447i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.88859 | + | 6.73523i | 0.394826 | + | 0.683859i | 0.993079 | − | 0.117448i | \(-0.0374714\pi\) |
−0.598253 | + | 0.801307i | \(0.704138\pi\) | |||||||
\(98\) | −2.28812 | + | 3.96314i | −0.231135 | + | 0.400338i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.12640 | − | 7.14713i | 0.412640 | − | 0.714713i | ||||
\(101\) | 2.18013 | − | 3.77610i | 0.216931 | − | 0.375736i | −0.736937 | − | 0.675961i | \(-0.763729\pi\) |
0.953868 | + | 0.300226i | \(0.0970620\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.62035 | − | 11.4668i | 0.652323 | − | 1.12986i | −0.330235 | − | 0.943899i | \(-0.607128\pi\) |
0.982558 | − | 0.185957i | \(-0.0595386\pi\) | |||||||
\(104\) | −0.675999 | − | 1.17086i | −0.0662871 | − | 0.114813i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 7.91856 | + | 13.7154i | 0.769119 | + | 1.33215i | ||||
\(107\) | 14.8526 | 1.43586 | 0.717928 | − | 0.696117i | \(-0.245091\pi\) | ||||
0.717928 | + | 0.696117i | \(0.245091\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.6264 | −1.11361 | −0.556804 | − | 0.830644i | \(-0.687972\pi\) | ||||
−0.556804 | + | 0.830644i | \(0.687972\pi\) | |||||||
\(110\) | −11.0228 | −1.05099 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.18075 | −0.867499 | ||||||||
\(113\) | −1.03048 | + | 1.78484i | −0.0969391 | + | 0.167903i | −0.910416 | − | 0.413693i | \(-0.864239\pi\) |
0.813477 | + | 0.581597i | \(0.197572\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.72571 | − | 6.45313i | −0.347425 | − | 0.601757i | ||||
\(116\) | 8.65913 | + | 14.9980i | 0.803980 | + | 1.39253i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 11.0749 | + | 19.1824i | 1.01953 | + | 1.76588i | ||||
\(119\) | 2.56606 | 0.235230 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.30715 | − | 5.72815i | −0.300650 | − | 0.520741i | ||||
\(122\) | 7.37610 | − | 12.7758i | 0.667800 | − | 1.15666i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 9.68635 | + | 16.7773i | 0.869860 | + | 1.50664i | ||||
\(125\) | −10.5553 | −0.944090 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.81320 | − | 3.14055i | 0.160895 | − | 0.278679i | −0.774295 | − | 0.632825i | \(-0.781895\pi\) |
0.935190 | + | 0.354146i | \(0.115228\pi\) | |||||||
\(128\) | 3.31860 | + | 5.74798i | 0.293325 | + | 0.508054i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.09642 | + | 3.63111i | −0.183869 | + | 0.318470i | ||||
\(131\) | 16.3456 | 1.42812 | 0.714059 | − | 0.700086i | \(-0.246855\pi\) | ||||
0.714059 | + | 0.700086i | \(0.246855\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 19.4935 | 1.69030 | ||||||||
\(134\) | −1.06193 | − | 17.1439i | −0.0917366 | − | 1.48100i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.358612 | − | 0.621135i | −0.0307508 | − | 0.0532619i | ||||
\(137\) | −6.80052 | −0.581007 | −0.290504 | − | 0.956874i | \(-0.593823\pi\) | ||||
−0.290504 | + | 0.956874i | \(0.593823\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.58433 | −0.388838 | −0.194419 | − | 0.980919i | \(-0.562282\pi\) | ||||
−0.194419 | + | 0.980919i | \(0.562282\pi\) | |||||||
\(140\) | −4.55748 | − | 7.89379i | −0.385178 | − | 0.667147i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 12.4935 | 1.04843 | ||||||||
\(143\) | −6.70010 | −0.560290 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.50894 | − | 7.80971i | 0.374447 | − | 0.648561i | ||||
\(146\) | 10.3341 | − | 17.8993i | 0.855260 | − | 1.48135i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −5.92127 | −0.486726 | ||||||||
\(149\) | 9.70836 | 0.795340 | 0.397670 | − | 0.917529i | \(-0.369819\pi\) | ||||
0.397670 | + | 0.917529i | \(0.369819\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.55390 | − | 9.61964i | −0.451970 | − | 0.782835i | 0.546538 | − | 0.837434i | \(-0.315945\pi\) |
−0.998508 | + | 0.0545989i | \(0.982612\pi\) | |||||||
\(152\) | −2.72426 | − | 4.71856i | −0.220967 | − | 0.382725i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 13.3427 | − | 23.1103i | 1.07519 | − | 1.86228i | ||||
\(155\) | 5.04383 | − | 8.73617i | 0.405130 | − | 0.701706i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.43355 | − | 9.41119i | −0.433645 | − | 0.751094i | 0.563539 | − | 0.826089i | \(-0.309439\pi\) |
−0.997184 | + | 0.0749948i | \(0.976106\pi\) | |||||||
\(158\) | −19.3284 | −1.53769 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.03891 | − | 8.72766i | 0.398361 | − | 0.689982i | ||||
\(161\) | 18.0393 | 1.42170 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.25569 | + | 10.8352i | −0.489983 | + | 0.848676i | −0.999934 | − | 0.0115277i | \(-0.996331\pi\) |
0.509950 | + | 0.860204i | \(0.329664\pi\) | |||||||
\(164\) | 6.13721 | + | 10.6300i | 0.479236 | + | 0.830060i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −3.51499 | + | 6.08814i | −0.272816 | + | 0.472531i | ||||
\(167\) | 9.62670 | − | 16.6739i | 0.744936 | − | 1.29027i | −0.205288 | − | 0.978702i | \(-0.565813\pi\) |
0.950224 | − | 0.311566i | \(-0.100854\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.22571 | − | 9.05120i | 0.401978 | − | 0.696246i | ||||
\(170\) | −1.11214 | + | 1.92628i | −0.0852971 | + | 0.147739i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.716776 | + | 1.24149i | −0.0546536 | + | 0.0946629i | ||||
\(173\) | 10.7764 | + | 18.6652i | 0.819311 | + | 1.41909i | 0.906191 | + | 0.422869i | \(0.138977\pi\) |
−0.0868796 | + | 0.996219i | \(0.527690\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.20179 | − | 9.00976i | 0.393218 | − | 0.681074i | ||||
\(176\) | 12.7166 | 0.958552 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.33713 | + | 16.1724i | 0.699847 | + | 1.21217i | ||||
\(179\) | −9.70836 | −0.725637 | −0.362818 | − | 0.931860i | \(-0.618185\pi\) | ||||
−0.362818 | + | 0.931860i | \(0.618185\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.0300 | + | 17.3724i | −0.745522 | + | 1.29128i | 0.204428 | + | 0.978882i | \(0.434467\pi\) |
−0.949950 | + | 0.312401i | \(0.898867\pi\) | |||||||
\(182\) | −5.07528 | − | 8.79065i | −0.376205 | − | 0.651606i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.52104 | − | 4.36656i | −0.185853 | − | 0.321907i | ||||
\(185\) | 1.54165 | + | 2.67021i | 0.113344 | + | 0.196318i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.55435 | −0.259920 | ||||||||
\(188\) | −3.12895 | − | 5.41949i | −0.228202 | − | 0.395257i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −8.44854 | + | 14.6333i | −0.612921 | + | 1.06161i | ||||
\(191\) | −10.7951 | − | 18.6977i | −0.781107 | − | 1.35292i | −0.931297 | − | 0.364260i | \(-0.881322\pi\) |
0.150190 | − | 0.988657i | \(-0.452011\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 12.8371 | 0.924037 | 0.462018 | − | 0.886870i | \(-0.347125\pi\) | ||||
0.462018 | + | 0.886870i | \(0.347125\pi\) | |||||||
\(194\) | 8.16008 | − | 14.1337i | 0.585860 | − | 1.01474i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.24160 | 0.374400 | ||||||||
\(197\) | 1.55434 | − | 2.69220i | 0.110742 | − | 0.191811i | −0.805327 | − | 0.592830i | \(-0.798011\pi\) |
0.916070 | + | 0.401019i | \(0.131344\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.01499 | − | 15.6144i | −0.639056 | − | 1.10688i | −0.985640 | − | 0.168858i | \(-0.945992\pi\) |
0.346585 | − | 0.938019i | \(-0.387341\pi\) | |||||||
\(200\) | −2.90784 | −0.205616 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.14988 | −0.643783 | ||||||||
\(203\) | 10.9158 | + | 18.9067i | 0.766139 | + | 1.32699i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.19574 | − | 5.53518i | 0.223200 | − | 0.386594i | ||||
\(206\) | −27.7852 | −1.93589 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.41856 | − | 4.18907i | 0.167697 | − | 0.290460i | ||||
\(209\) | −27.0012 | −1.86771 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.65638 | + | 16.7253i | 0.664772 | + | 1.15142i | 0.979347 | + | 0.202187i | \(0.0648048\pi\) |
−0.314575 | + | 0.949233i | \(0.601862\pi\) | |||||||
\(212\) | 9.06988 | − | 15.7095i | 0.622922 | − | 1.07893i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −15.5839 | − | 26.9921i | −1.06529 | − | 1.84514i | ||||
\(215\) | 0.746472 | 0.0509090 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 12.2107 | + | 21.1496i | 0.828918 | + | 1.43573i | ||||
\(218\) | 12.1988 | + | 21.1290i | 0.826209 | + | 1.43104i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.31275 | + | 10.9340i | 0.425606 | + | 0.737170i | ||||
\(221\) | −0.675999 | + | 1.17086i | −0.0454726 | + | 0.0787609i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.9570 | −1.40339 | −0.701693 | − | 0.712479i | \(-0.747572\pi\) | ||||
−0.701693 | + | 0.712479i | \(0.747572\pi\) | |||||||
\(224\) | 12.1988 | + | 21.1290i | 0.815068 | + | 1.41174i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.32485 | 0.287685 | ||||||||
\(227\) | −6.47899 | + | 11.2219i | −0.430026 | + | 0.744827i | −0.996875 | − | 0.0789948i | \(-0.974829\pi\) |
0.566849 | + | 0.823822i | \(0.308162\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.8461 | + | 18.7859i | 0.716728 | + | 1.24141i | 0.962289 | + | 0.272029i | \(0.0876945\pi\) |
−0.245561 | + | 0.969381i | \(0.578972\pi\) | |||||||
\(230\) | −7.81830 | + | 13.5417i | −0.515523 | + | 0.892913i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.05101 | − | 5.28451i | 0.200309 | − | 0.346945i | ||||
\(233\) | −8.47554 | + | 14.6801i | −0.555251 | + | 0.961723i | 0.442633 | + | 0.896703i | \(0.354045\pi\) |
−0.997884 | + | 0.0650202i | \(0.979289\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.62929 | + | 2.82201i | −0.106283 | + | 0.184088i | ||||
\(236\) | 12.6852 | − | 21.9714i | 0.825734 | − | 1.43021i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.69240 | − | 4.66337i | −0.174522 | − | 0.302282i | ||||
\(239\) | −9.00091 | + | 15.5900i | −0.582220 | + | 1.00844i | 0.412995 | + | 0.910733i | \(0.364483\pi\) |
−0.995216 | + | 0.0977023i | \(0.968851\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 21.5535 | 1.38838 | 0.694190 | − | 0.719792i | \(-0.255763\pi\) | ||||
0.694190 | + | 0.719792i | \(0.255763\pi\) | |||||||
\(242\) | −6.93996 | + | 12.0204i | −0.446117 | + | 0.772698i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −16.8971 | −1.08172 | ||||||||
\(245\) | −1.36469 | − | 2.36371i | −0.0871869 | − | 0.151012i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.13534 | + | 8.89467i | −0.326754 | + | 0.565954i | ||||
\(248\) | 3.41295 | − | 5.91140i | 0.216723 | − | 0.375375i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.0749 | + | 19.1824i | 0.700441 | + | 1.21320i | ||||
\(251\) | 0.202344 | + | 0.350469i | 0.0127718 | + | 0.0221214i | 0.872341 | − | 0.488898i | \(-0.162601\pi\) |
−0.859569 | + | 0.511020i | \(0.829268\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −24.9870 | −1.57092 | ||||||||
\(254\) | −7.60989 | −0.477487 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.87315 | + | 6.70849i | −0.242072 | + | 0.419281i | ||||
\(257\) | 1.49144 | − | 2.58325i | 0.0930334 | − | 0.161139i | −0.815753 | − | 0.578401i | \(-0.803677\pi\) |
0.908786 | + | 0.417262i | \(0.137010\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.46443 | −0.463817 | ||||||||
\(260\) | 4.80247 | 0.297836 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −17.1503 | − | 29.7052i | −1.05955 | − | 1.83520i | ||||
\(263\) | 10.3139 | 0.635981 | 0.317991 | − | 0.948094i | \(-0.396992\pi\) | ||||
0.317991 | + | 0.948094i | \(0.396992\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.44565 | −0.580242 | ||||||||
\(266\) | −20.4533 | − | 35.4261i | −1.25407 | − | 2.17211i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −16.3975 | + | 10.8716i | −1.00164 | + | 0.664089i | ||||
\(269\) | 25.2445 | 1.53919 | 0.769593 | − | 0.638534i | \(-0.220459\pi\) | ||||
0.769593 | + | 0.638534i | \(0.220459\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.55435 | 0.155166 | 0.0775829 | − | 0.996986i | \(-0.475280\pi\) | ||||
0.0775829 | + | 0.996986i | \(0.475280\pi\) | |||||||
\(272\) | 1.28303 | − | 2.22227i | 0.0777951 | − | 0.134745i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.13534 | + | 12.3588i | 0.431062 | + | 0.746621i | ||||
\(275\) | −7.20520 | + | 12.4798i | −0.434490 | + | 0.752559i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.65638 | 0.0995219 | 0.0497610 | − | 0.998761i | \(-0.484154\pi\) | ||||
0.0497610 | + | 0.998761i | \(0.484154\pi\) | |||||||
\(278\) | 4.81004 | + | 8.33123i | 0.288487 | + | 0.499674i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.60581 | + | 2.78135i | −0.0959657 | + | 0.166217i | ||||
\(281\) | 8.08355 | + | 14.0011i | 0.482224 | + | 0.835236i | 0.999792 | − | 0.0204058i | \(-0.00649583\pi\) |
−0.517568 | + | 0.855642i | \(0.673162\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.8792 | 0.825033 | 0.412516 | − | 0.910950i | \(-0.364650\pi\) | ||||
0.412516 | + | 0.910950i | \(0.364650\pi\) | |||||||
\(284\) | −7.15499 | − | 12.3928i | −0.424571 | − | 0.735378i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 7.02998 | + | 12.1763i | 0.415691 | + | 0.719998i | ||||
\(287\) | 7.73664 | + | 13.4003i | 0.456679 | + | 0.790992i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.14139 | − | 14.1013i | 0.478905 | − | 0.829488i | ||||
\(290\) | −18.9237 | −1.11124 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −23.6734 | −1.38538 | ||||||||
\(293\) | −10.5553 | −0.616644 | −0.308322 | − | 0.951282i | \(-0.599767\pi\) | ||||
−0.308322 | + | 0.951282i | \(0.599767\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −13.2107 | −0.769158 | ||||||||
\(296\) | 1.04317 | + | 1.80682i | 0.0606330 | + | 0.105019i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.1864 | − | 17.6433i | −0.590079 | − | 1.02205i | ||||
\(299\) | −4.75226 | + | 8.23115i | −0.274830 | + | 0.476020i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.903576 | + | 1.56504i | −0.0520812 | + | 0.0902073i | ||||
\(302\) | −11.6547 | + | 20.1865i | −0.670652 | + | 1.16160i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 9.74675 | − | 16.8819i | 0.559015 | − | 0.968242i | ||||
\(305\) | 4.39928 | + | 7.61978i | 0.251902 | + | 0.436307i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.8432 | − | 22.2450i | −0.732999 | − | 1.26959i | −0.955596 | − | 0.294681i | \(-0.904787\pi\) |
0.222597 | − | 0.974911i | \(-0.428547\pi\) | |||||||
\(308\) | −30.5654 | −1.74162 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −21.1687 | −1.20230 | ||||||||
\(311\) | 9.84630 | 0.558332 | 0.279166 | − | 0.960243i | \(-0.409942\pi\) | ||||
0.279166 | + | 0.960243i | \(0.409942\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.03576 | 0.510731 | 0.255366 | − | 0.966845i | \(-0.417804\pi\) | ||||
0.255366 | + | 0.966845i | \(0.417804\pi\) | |||||||
\(314\) | −11.4021 | + | 19.7491i | −0.643460 | + | 1.11451i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.0693 | + | 19.1727i | 0.622699 | + | 1.07855i | ||||
\(317\) | 3.92563 | + | 6.79939i | 0.220485 | + | 0.381892i | 0.954955 | − | 0.296749i | \(-0.0959026\pi\) |
−0.734470 | + | 0.678641i | \(0.762569\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.1199 | − | 26.1884i | −0.846552 | − | 1.46627i | ||||
\(320\) | −13.5635 | −0.758224 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −18.9275 | − | 32.7834i | −1.05479 | − | 1.82695i | ||||
\(323\) | −2.72426 | + | 4.71856i | −0.151582 | + | 0.262547i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.74070 | + | 4.74704i | 0.152027 | + | 0.263318i | ||||
\(326\) | 26.2548 | 1.45412 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.16242 | − | 3.74543i | 0.119400 | − | 0.206807i | ||||
\(329\) | −3.94439 | − | 6.83188i | −0.217461 | − | 0.376654i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 15.7646 | − | 27.3051i | 0.866502 | − | 1.50083i | 0.000954748 | − | 1.00000i | \(-0.499696\pi\) |
0.865548 | − | 0.500827i | \(-0.166971\pi\) | |||||||
\(332\) | 8.05209 | 0.441916 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −40.4027 | −2.21074 | ||||||||
\(335\) | 9.17180 | + | 4.56400i | 0.501109 | + | 0.249358i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.15033 | + | 15.8488i | 0.498450 | + | 0.863341i | 0.999998 | − | 0.00178880i | \(-0.000569393\pi\) |
−0.501548 | + | 0.865130i | \(0.667236\pi\) | |||||||
\(338\) | −21.9320 | −1.19294 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.54767 | 0.138167 | ||||||||
\(341\) | −16.9136 | − | 29.2952i | −0.915921 | − | 1.58642i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.6022 | −0.788445 | ||||||||
\(344\) | 0.505107 | 0.0272335 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 22.6139 | − | 39.1683i | 1.21573 | − | 2.10570i | ||||
\(347\) | −18.1337 | + | 31.4085i | −0.973468 | + | 1.68610i | −0.288565 | + | 0.957460i | \(0.593178\pi\) |
−0.684902 | + | 0.728635i | \(0.740155\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −26.1199 | −1.39817 | −0.699083 | − | 0.715040i | \(-0.746408\pi\) | ||||
−0.699083 | + | 0.715040i | \(0.746408\pi\) | |||||||
\(350\) | −21.8316 | −1.16695 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −16.8971 | − | 29.2666i | −0.900617 | − | 1.55991i | ||||
\(353\) | 1.18111 | + | 2.04573i | 0.0628639 | + | 0.108883i | 0.895744 | − | 0.444569i | \(-0.146643\pi\) |
−0.832881 | + | 0.553453i | \(0.813310\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.72571 | + | 6.45313i | −0.197740 | + | 0.342496i | ||||
\(356\) | 10.6947 | − | 18.5238i | 0.566818 | − | 0.981757i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 10.1864 | + | 17.6433i | 0.538365 | + | 0.932476i | ||||
\(359\) | 6.55915 | 0.346179 | 0.173089 | − | 0.984906i | \(-0.444625\pi\) | ||||
0.173089 | + | 0.984906i | \(0.444625\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.1953 | + | 19.3908i | −0.589226 | + | 1.02057i | ||||
\(362\) | 42.0952 | 2.21247 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.81320 | + | 10.0688i | −0.304694 | + | 0.527746i | ||||
\(365\) | 6.16354 | + | 10.6756i | 0.322614 | + | 0.558784i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.36466 | − | 2.36366i | 0.0712347 | − | 0.123382i | −0.828208 | − | 0.560421i | \(-0.810639\pi\) |
0.899443 | + | 0.437039i | \(0.143973\pi\) | |||||||
\(368\) | 9.01967 | − | 15.6225i | 0.470183 | − | 0.814380i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.23510 | − | 5.60336i | 0.168185 | − | 0.291305i | ||||
\(371\) | 11.4336 | − | 19.8036i | 0.593603 | − | 1.02815i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.65638 | − | 16.7253i | 0.499988 | − | 0.866005i | −0.500012 | − | 0.866019i | \(-0.666671\pi\) |
1.00000 | 1.36691e-5i | \(4.35101e-6\pi\) | ||||||||
\(374\) | 3.72935 | + | 6.45942i | 0.192840 | + | 0.334009i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.10247 | + | 1.90954i | −0.0568557 | + | 0.0984770i | ||||
\(377\) | −11.5026 | −0.592412 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.0689 | + | 29.5642i | 0.876770 | + | 1.51861i | 0.854865 | + | 0.518850i | \(0.173640\pi\) |
0.0219048 | + | 0.999760i | \(0.493027\pi\) | |||||||
\(380\) | 19.3538 | 0.992830 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −22.6532 | + | 39.2365i | −1.15904 | + | 2.00752i | ||||
\(383\) | −5.05652 | − | 8.75816i | −0.258376 | − | 0.447521i | 0.707431 | − | 0.706783i | \(-0.249854\pi\) |
−0.965807 | + | 0.259262i | \(0.916521\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.95793 | + | 13.7835i | 0.405574 | + | 0.702474i | ||||
\(386\) | −13.4692 | − | 23.3293i | −0.685562 | − | 1.18743i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −18.6930 | −0.948995 | ||||||||
\(389\) | −13.4002 | − | 23.2098i | −0.679417 | − | 1.17678i | −0.975157 | − | 0.221516i | \(-0.928900\pi\) |
0.295740 | − | 0.955268i | \(-0.404434\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.52104 | + | 4.36656i | −0.127494 | + | 0.220827i | ||||
\(392\) | −0.923430 | − | 1.59943i | −0.0466402 | − | 0.0807833i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.52348 | −0.328648 | ||||||||
\(395\) | 5.76397 | − | 9.98350i | 0.290017 | − | 0.502324i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 20.0049 | 1.00402 | 0.502008 | − | 0.864863i | \(-0.332595\pi\) | ||||
0.502008 | + | 0.864863i | \(0.332595\pi\) | |||||||
\(398\) | −18.9177 | + | 32.7664i | −0.948258 | + | 1.64243i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.20179 | − | 9.00976i | −0.260089 | − | 0.450488i | ||||
\(401\) | 27.1797 | 1.35729 | 0.678644 | − | 0.734467i | \(-0.262568\pi\) | ||||
0.678644 | + | 0.734467i | \(0.262568\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −12.8671 | −0.640956 | ||||||||
\(404\) | 5.24011 | + | 9.07614i | 0.260705 | + | 0.451555i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 22.9065 | − | 39.6752i | 1.13683 | − | 1.96905i | ||||
\(407\) | 10.3393 | 0.512499 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.28567 | + | 7.42299i | −0.211913 | + | 0.367043i | −0.952313 | − | 0.305123i | \(-0.901303\pi\) |
0.740401 | + | 0.672166i | \(0.234636\pi\) | |||||||
\(410\) | −13.4123 | −0.662387 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 15.9125 | + | 27.5613i | 0.783953 | + | 1.35785i | ||||
\(413\) | 15.9911 | − | 27.6974i | 0.786869 | − | 1.36290i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.09642 | − | 3.63111i | −0.102909 | − | 0.178244i | ||||
\(416\) | −12.8546 | −0.630247 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 28.3306 | + | 49.0701i | 1.38570 | + | 2.40010i | ||||
\(419\) | −1.94634 | − | 3.37115i | −0.0950847 | − | 0.164692i | 0.814559 | − | 0.580080i | \(-0.196979\pi\) |
−0.909644 | + | 0.415389i | \(0.863646\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.88859 | + | 6.73523i | 0.189518 | + | 0.328255i | 0.945090 | − | 0.326811i | \(-0.105974\pi\) |
−0.755572 | + | 0.655066i | \(0.772641\pi\) | |||||||
\(422\) | 20.2636 | − | 35.0976i | 0.986417 | − | 1.70852i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.39148 | −0.310398 | ||||||||
\(425\) | 1.45392 | + | 2.51827i | 0.0705256 | + | 0.122154i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −21.3007 | −1.03081 | ||||||||
\(428\) | −17.8497 | + | 30.9166i | −0.862797 | + | 1.49441i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.783224 | − | 1.35658i | −0.0377704 | − | 0.0654203i | ||||
\(431\) | 11.4914 | − | 19.9036i | 0.553520 | − | 0.958725i | −0.444497 | − | 0.895780i | \(-0.646618\pi\) |
0.998017 | − | 0.0629445i | \(-0.0200491\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.3371 | + | 17.9044i | −0.496771 | + | 0.860432i | −0.999993 | − | 0.00372498i | \(-0.998814\pi\) |
0.503222 | + | 0.864157i | \(0.332148\pi\) | |||||||
\(434\) | 25.6238 | − | 44.3818i | 1.22998 | − | 2.13039i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 13.9725 | − | 24.2010i | 0.669160 | − | 1.15902i | ||||
\(437\) | −19.1515 | + | 33.1713i | −0.916139 | + | 1.58680i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 16.1503 | + | 27.9732i | 0.770813 | + | 1.33509i | 0.937118 | + | 0.349013i | \(0.113483\pi\) |
−0.166305 | + | 0.986074i | \(0.553184\pi\) | |||||||
\(440\) | 2.22428 | − | 3.85256i | 0.106038 | − | 0.183663i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.83713 | 0.134948 | ||||||||
\(443\) | −16.2878 | + | 28.2113i | −0.773856 | + | 1.34036i | 0.161580 | + | 0.986860i | \(0.448341\pi\) |
−0.935435 | + | 0.353497i | \(0.884992\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −11.1378 | −0.527981 | ||||||||
\(446\) | 21.9888 | + | 38.0858i | 1.04120 | + | 1.80341i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 16.4181 | − | 28.4370i | 0.775683 | − | 1.34352i | ||||
\(449\) | 17.1924 | − | 29.7782i | 0.811362 | − | 1.40532i | −0.100549 | − | 0.994932i | \(-0.532060\pi\) |
0.911911 | − | 0.410388i | \(-0.134607\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.7163 | − | 18.5612i | −0.504612 | − | 0.874014i | ||||
\(452\) | −2.47683 | − | 4.28999i | −0.116500 | − | 0.201784i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 27.1920 | 1.27618 | ||||||||
\(455\) | 6.05404 | 0.283818 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.22282 | + | 3.85004i | −0.103979 | + | 0.180097i | −0.913321 | − | 0.407241i | \(-0.866491\pi\) |
0.809341 | + | 0.587338i | \(0.199824\pi\) | |||||||
\(458\) | 22.7601 | − | 39.4217i | 1.06351 | − | 1.84206i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 17.9101 | 0.835061 | ||||||||
\(461\) | −22.6785 | −1.05624 | −0.528121 | − | 0.849169i | \(-0.677103\pi\) | ||||
−0.528121 | + | 0.849169i | \(0.677103\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.39753 | − | 4.15264i | −0.111423 | − | 0.192989i | 0.804922 | − | 0.593381i | \(-0.202207\pi\) |
−0.916344 | + | 0.400392i | \(0.868874\pi\) | |||||||
\(464\) | 21.8316 | 1.01351 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 35.5713 | 1.64781 | ||||||||
\(467\) | −9.27222 | − | 16.0600i | −0.429067 | − | 0.743166i | 0.567723 | − | 0.823219i | \(-0.307824\pi\) |
−0.996791 | + | 0.0800531i | \(0.974491\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −20.6709 | + | 13.7049i | −0.954494 | + | 0.632832i | ||||
\(470\) | 6.83803 | 0.315415 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.93915 | −0.411458 | ||||||||
\(473\) | 1.25158 | − | 2.16780i | 0.0575476 | − | 0.0996754i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.0450 | + | 19.1304i | 0.506778 | + | 0.877765i | ||||
\(476\) | −3.08386 | + | 5.34140i | −0.141348 | + | 0.244823i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 37.7763 | 1.72785 | ||||||||
\(479\) | −4.56261 | − | 7.90266i | −0.208471 | − | 0.361082i | 0.742762 | − | 0.669555i | \(-0.233515\pi\) |
−0.951233 | + | 0.308473i | \(0.900182\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.96642 | − | 3.40593i | 0.0896609 | − | 0.155297i | ||||
\(482\) | −22.6146 | − | 39.1697i | −1.03007 | − | 1.78413i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 15.8980 | 0.722635 | ||||||||
\(485\) | 4.86687 | + | 8.42967i | 0.220993 | + | 0.382772i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5.22282 | − | 9.04620i | −0.236669 | − | 0.409922i | 0.723088 | − | 0.690756i | \(-0.242722\pi\) |
−0.959756 | + | 0.280834i | \(0.909389\pi\) | |||||||
\(488\) | 2.97681 | + | 5.15599i | 0.134754 | + | 0.233401i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.86376 | + | 4.96018i | −0.129372 | + | 0.224078i | ||||
\(491\) | 36.4307 | 1.64409 | 0.822047 | − | 0.569419i | \(-0.192832\pi\) | ||||
0.822047 | + | 0.569419i | \(0.192832\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.10202 | −0.274821 | ||||||||
\(494\) | 21.5527 | 0.969702 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 24.4215 | 1.09656 | ||||||||
\(497\) | −9.01967 | − | 15.6225i | −0.404587 | − | 0.700766i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 13.4756 | + | 23.3405i | 0.603252 | + | 1.04486i | 0.992325 | + | 0.123656i | \(0.0394619\pi\) |
−0.389073 | + | 0.921207i | \(0.627205\pi\) | |||||||
\(500\) | 12.6852 | − | 21.9714i | 0.567298 | − | 0.982589i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.424612 | − | 0.735450i | 0.0189514 | − | 0.0328247i | ||||
\(503\) | −19.5435 | + | 33.8503i | −0.871400 | + | 1.50931i | −0.0108516 | + | 0.999941i | \(0.503454\pi\) |
−0.860549 | + | 0.509368i | \(0.829879\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.72860 | − | 4.72608i | 0.121421 | − | 0.210308i | ||||
\(506\) | 26.2172 | + | 45.4096i | 1.16550 | + | 2.01870i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.35816 | + | 7.54856i | 0.193362 | + | 0.334913i | ||||
\(509\) | 28.4161 | 1.25952 | 0.629761 | − | 0.776789i | \(-0.283153\pi\) | ||||
0.629761 | + | 0.776789i | \(0.283153\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −29.8429 | −1.32017 | ||||||||
\(512\) | 29.5298 | 1.30504 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −6.25948 | −0.276094 | ||||||||
\(515\) | 8.28589 | − | 14.3516i | 0.365120 | − | 0.632406i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.46353 | + | 9.46311i | 0.240286 | + | 0.416187i | ||||
\(518\) | 7.83194 | + | 13.5653i | 0.344115 | + | 0.596026i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.846066 | − | 1.46543i | −0.0371024 | − | 0.0642633i | ||||
\(521\) | −30.4892 | −1.33576 | −0.667878 | − | 0.744271i | \(-0.732797\pi\) | ||||
−0.667878 | + | 0.744271i | \(0.732797\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.9036 | − | 25.8138i | −0.651688 | − | 1.12876i | −0.982713 | − | 0.185135i | \(-0.940728\pi\) |
0.331025 | − | 0.943622i | \(-0.392605\pi\) | |||||||
\(524\) | −19.6439 | + | 34.0242i | −0.858147 | + | 1.48635i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −10.8217 | − | 18.7437i | −0.471848 | − | 0.817265i | ||||
\(527\) | −6.82590 | −0.297341 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.22282 | + | 10.7782i | −0.270558 | + | 0.468619i | ||||
\(530\) | 9.91070 | + | 17.1658i | 0.430493 | + | 0.745637i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −23.4271 | + | 40.5768i | −1.01569 | + | 1.75923i | ||||
\(533\) | −8.15251 | −0.353125 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.5892 | 0.803682 | ||||||||
\(536\) | 6.20618 | + | 3.08827i | 0.268066 | + | 0.133393i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −26.4875 | − | 45.8776i | −1.14196 | − | 1.97792i | ||||
\(539\) | −9.15248 | −0.394225 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.17497 | −0.179496 | −0.0897480 | − | 0.995965i | \(-0.528606\pi\) | ||||
−0.0897480 | + | 0.995965i | \(0.528606\pi\) | |||||||
\(542\) | −2.68011 | − | 4.64210i | −0.115121 | − | 0.199395i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −6.81925 | −0.292373 | ||||||||
\(545\) | −14.5514 | −0.623311 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.22887 | − | 15.9849i | 0.394598 | − | 0.683464i | −0.598452 | − | 0.801159i | \(-0.704217\pi\) |
0.993050 | + | 0.117695i | \(0.0375505\pi\) | |||||||
\(548\) | 8.17278 | − | 14.1557i | 0.349124 | − | 0.604700i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 30.2398 | 1.28943 | ||||||||
\(551\) | −46.3550 | −1.97479 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.9541 | + | 24.1693i | 0.593390 | + | 1.02778i | ||||
\(554\) | −1.73793 | − | 3.01018i | −0.0738374 | − | 0.127890i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.50939 | − | 9.54254i | 0.233650 | − | 0.404694i | ||||
\(557\) | 5.56920 | − | 9.64614i | 0.235975 | − | 0.408720i | −0.723581 | − | 0.690240i | \(-0.757505\pi\) |
0.959555 | + | 0.281520i | \(0.0908384\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.476073 | − | 0.824583i | −0.0201358 | − | 0.0348761i | ||||
\(560\) | −11.4904 | −0.485559 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 16.9631 | − | 29.3809i | 0.715544 | − | 1.23936i | ||||
\(563\) | −20.4015 | −0.859823 | −0.429911 | − | 0.902871i | \(-0.641455\pi\) | ||||
−0.429911 | + | 0.902871i | \(0.641455\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.28972 | + | 2.23386i | −0.0542590 | + | 0.0939794i | ||||
\(566\) | −14.5625 | − | 25.2231i | −0.612109 | − | 1.06020i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.52104 | + | 4.36656i | −0.105780 | + | 0.183217i | ||||
\(569\) | 17.8811 | − | 30.9710i | 0.749616 | − | 1.29837i | −0.198390 | − | 0.980123i | \(-0.563571\pi\) |
0.948007 | − | 0.318250i | \(-0.103095\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 21.7702 | − | 37.7071i | 0.911056 | − | 1.57799i | 0.0984801 | − | 0.995139i | \(-0.468602\pi\) |
0.812576 | − | 0.582856i | \(-0.198065\pi\) | |||||||
\(572\) | 8.05209 | − | 13.9466i | 0.336675 | − | 0.583138i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 16.2351 | − | 28.1200i | 0.677640 | − | 1.17371i | ||||
\(575\) | 10.2210 | + | 17.7034i | 0.426247 | + | 0.738281i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 17.1139 | − | 29.6421i | 0.712459 | − | 1.23402i | −0.251472 | − | 0.967864i | \(-0.580915\pi\) |
0.963931 | − | 0.266151i | \(-0.0857519\pi\) | |||||||
\(578\) | −34.1689 | −1.42124 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 10.8376 | + | 18.7712i | 0.450006 | + | 0.779433i | ||||
\(581\) | 10.1506 | 0.421116 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.8371 | + | 27.4307i | −0.655907 | + | 1.13606i | ||||
\(584\) | 4.17061 | + | 7.22371i | 0.172581 | + | 0.298919i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 11.0749 | + | 19.1824i | 0.457502 | + | 0.792416i | ||||
\(587\) | −21.8068 | − | 37.7704i | −0.900062 | − | 1.55895i | −0.827412 | − | 0.561595i | \(-0.810188\pi\) |
−0.0726491 | − | 0.997358i | \(-0.523145\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −51.8541 | −2.13661 | ||||||||
\(590\) | 13.8612 | + | 24.0082i | 0.570655 | + | 0.988403i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.73221 | + | 6.46438i | −0.153393 | + | 0.265684i | ||||
\(593\) | −7.48409 | − | 12.9628i | −0.307335 | − | 0.532319i | 0.670444 | − | 0.741960i | \(-0.266104\pi\) |
−0.977778 | + | 0.209641i | \(0.932770\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.21163 | 0.131664 | ||||||||
\(596\) | −11.6674 | + | 20.2085i | −0.477915 | + | 0.827773i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 19.9449 | 0.815609 | ||||||||
\(599\) | −17.1661 | + | 29.7326i | −0.701389 | + | 1.21484i | 0.266591 | + | 0.963810i | \(0.414103\pi\) |
−0.967979 | + | 0.251031i | \(0.919230\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.8342 | + | 20.4975i | 0.482729 | + | 0.836110i | 0.999803 | − | 0.0198298i | \(-0.00631244\pi\) |
−0.517075 | + | 0.855940i | \(0.672979\pi\) | |||||||
\(602\) | 3.79225 | 0.154561 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 26.6984 | 1.08634 | ||||||||
\(605\) | −4.13916 | − | 7.16923i | −0.168281 | − | 0.291471i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.6049 | − | 28.7606i | 0.673973 | − | 1.16735i | −0.302795 | − | 0.953056i | \(-0.597920\pi\) |
0.976768 | − | 0.214299i | \(-0.0687468\pi\) | |||||||
\(608\) | −51.8036 | −2.10091 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9.23176 | − | 15.9899i | 0.373783 | − | 0.647411i | ||||
\(611\) | 4.15641 | 0.168150 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 7.05146 | + | 12.2135i | 0.284806 | + | 0.493298i | 0.972562 | − | 0.232644i | \(-0.0747375\pi\) |
−0.687756 | + | 0.725942i | \(0.741404\pi\) | |||||||
\(614\) | −26.9510 | + | 46.6805i | −1.08765 | + | 1.88387i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.38480 | + | 9.32675i | 0.216960 | + | 0.375785i | ||||
\(617\) | 2.57819 | 0.103794 | 0.0518970 | − | 0.998652i | \(-0.483473\pi\) | ||||
0.0518970 | + | 0.998652i | \(0.483473\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.23781 | − | 5.60805i | −0.130139 | − | 0.225407i | 0.793591 | − | 0.608451i | \(-0.208209\pi\) |
−0.923730 | + | 0.383045i | \(0.874876\pi\) | |||||||
\(620\) | 12.1232 | + | 20.9980i | 0.486881 | + | 0.843302i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.3311 | − | 17.8940i | −0.414238 | − | 0.717482i | ||||
\(623\) | 13.4819 | − | 23.3513i | 0.540139 | − | 0.935548i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.95703 | 0.158281 | ||||||||
\(626\) | −9.48063 | − | 16.4209i | −0.378922 | − | 0.656313i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 26.1199 | 1.04230 | ||||||||
\(629\) | 1.04317 | − | 1.80682i | 0.0415939 | − | 0.0720427i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 14.9036 | + | 25.8138i | 0.593302 | + | 1.02763i | 0.993784 | + | 0.111325i | \(0.0355093\pi\) |
−0.400482 | + | 0.916305i | \(0.631157\pi\) | |||||||
\(632\) | 3.90024 | − | 6.75542i | 0.155143 | − | 0.268716i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 8.23781 | − | 14.2683i | 0.327165 | − | 0.566667i | ||||
\(635\) | 2.26936 | − | 3.93065i | 0.0900569 | − | 0.155983i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.74070 | + | 3.01498i | −0.0689691 | + | 0.119458i | ||||
\(638\) | −31.7287 | + | 54.9556i | −1.25615 | + | 2.17571i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 4.15348 | + | 7.19405i | 0.164181 | + | 0.284370i | ||||
\(641\) | −15.1756 | + | 26.2850i | −0.599402 | + | 1.03819i | 0.393508 | + | 0.919321i | \(0.371261\pi\) |
−0.992909 | + | 0.118873i | \(0.962072\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6.97002 | −0.274871 | −0.137435 | − | 0.990511i | \(-0.543886\pi\) | ||||
−0.137435 | + | 0.990511i | \(0.543886\pi\) | |||||||
\(644\) | −21.6795 | + | 37.5499i | −0.854290 | + | 1.47967i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 11.4336 | 0.449847 | ||||||||
\(647\) | 19.8275 | + | 34.3422i | 0.779498 | + | 1.35013i | 0.932231 | + | 0.361863i | \(0.117859\pi\) |
−0.152733 | + | 0.988268i | \(0.548807\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −22.1499 | + | 38.3647i | −0.869459 | + | 1.50595i | ||||
\(650\) | 5.75128 | − | 9.96151i | 0.225584 | − | 0.390723i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −15.0360 | − | 26.0432i | −0.588856 | − | 1.01993i | ||||
\(653\) | 20.0673 | + | 34.7576i | 0.785295 | + | 1.36017i | 0.928822 | + | 0.370525i | \(0.120822\pi\) |
−0.143527 | + | 0.989646i | \(0.545844\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 20.4577 | 0.799350 | ||||||||
\(656\) | 15.4733 | 0.604130 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −8.27718 | + | 14.3365i | −0.322678 | + | 0.558895i | ||||
\(659\) | 14.9860 | − | 25.9565i | 0.583771 | − | 1.01112i | −0.411256 | − | 0.911520i | \(-0.634910\pi\) |
0.995027 | − | 0.0996015i | \(-0.0317568\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.6622 | −0.686978 | −0.343489 | − | 0.939157i | \(-0.611609\pi\) | ||||
−0.343489 | + | 0.939157i | \(0.611609\pi\) | |||||||
\(662\) | −66.1632 | −2.57151 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.41856 | − | 2.45702i | −0.0550509 | − | 0.0953510i | ||||
\(665\) | 24.3976 | 0.946100 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −42.8971 | −1.66098 | ||||||||
\(668\) | 23.1385 | + | 40.0771i | 0.895255 | + | 1.55063i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.32909 | − | 21.4569i | −0.0513471 | − | 0.828952i | ||||
\(671\) | 29.5044 | 1.13900 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 25.0657 | 0.966213 | 0.483106 | − | 0.875562i | \(-0.339508\pi\) | ||||
0.483106 | + | 0.875562i | \(0.339508\pi\) | |||||||
\(674\) | 19.2017 | − | 33.2583i | 0.739621 | − | 1.28106i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.5604 | + | 21.7553i | 0.483092 | + | 0.836740i | ||||
\(677\) | 17.5267 | − | 30.3571i | 0.673604 | − | 1.16672i | −0.303270 | − | 0.952905i | \(-0.598079\pi\) |
0.976875 | − | 0.213812i | \(-0.0685881\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −23.5647 | −0.904328 | ||||||||
\(680\) | −0.448832 | − | 0.777399i | −0.0172119 | − | 0.0298119i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −35.4926 | + | 61.4750i | −1.35908 | + | 2.35400i | ||||
\(683\) | −18.5444 | − | 32.1199i | −0.709583 | − | 1.22903i | −0.965012 | − | 0.262207i | \(-0.915550\pi\) |
0.255428 | − | 0.966828i | \(-0.417784\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8.51138 | −0.325203 | ||||||||
\(686\) | 15.3211 | + | 26.5370i | 0.584964 | + | 1.01319i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.903576 | + | 1.56504i | 0.0344485 | + | 0.0596665i | ||||
\(689\) | 6.02410 | + | 10.4340i | 0.229500 | + | 0.397505i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.11141 | − | 14.0494i | 0.308573 | − | 0.534464i | −0.669478 | − | 0.742832i | \(-0.733482\pi\) |
0.978050 | + | 0.208369i | \(0.0668154\pi\) | |||||||
\(692\) | −51.8036 | −1.96928 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 76.1060 | 2.88894 | ||||||||
\(695\) | −5.73765 | −0.217641 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −4.32485 | −0.163815 | ||||||||
\(698\) | 27.4059 | + | 47.4684i | 1.03733 | + | 1.79671i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 12.5029 | + | 21.6556i | 0.472565 | + | 0.818506i | ||||
\(701\) | 13.0645 | − | 22.6283i | 0.493438 | − | 0.854660i | −0.506533 | − | 0.862221i | \(-0.669073\pi\) |
0.999971 | + | 0.00756020i | \(0.00240651\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.92461 | − | 13.7258i | 0.298882 | − | 0.517680i | ||||
\(704\) | −22.7414 | + | 39.3892i | −0.857098 | + | 1.48454i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.47851 | − | 4.29291i | 0.0932801 | − | 0.161566i | ||||
\(707\) | 6.60574 | + | 11.4415i | 0.248435 | + | 0.430301i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 19.5114 | + | 33.7947i | 0.732765 | + | 1.26919i | 0.955697 | + | 0.294353i | \(0.0951040\pi\) |
−0.222932 | + | 0.974834i | \(0.571563\pi\) | |||||||
\(710\) | 15.6366 | 0.586831 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −7.53647 | −0.282441 | ||||||||
\(713\) | −47.9859 | −1.79709 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.38570 | −0.313607 | ||||||||
\(716\) | 11.6674 | − | 20.2085i | 0.436031 | − | 0.755228i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −6.88209 | − | 11.9201i | −0.256837 | − | 0.444855i | ||||
\(719\) | −8.47554 | − | 14.6801i | −0.316084 | − | 0.547474i | 0.663583 | − | 0.748103i | \(-0.269035\pi\) |
−0.979667 | + | 0.200629i | \(0.935702\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 20.0595 | + | 34.7441i | 0.747055 | + | 1.29394i | ||||
\(722\) | 46.9860 | 1.74864 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −24.1078 | − | 41.7559i | −0.895959 | − | 1.55185i | ||||
\(725\) | −12.3697 | + | 21.4250i | −0.459400 | + | 0.795704i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.16892 | − | 8.95284i | −0.191705 | − | 0.332042i | 0.754111 | − | 0.656747i | \(-0.228068\pi\) |
−0.945815 | + | 0.324705i | \(0.894735\pi\) | |||||||
\(728\) | 4.09652 | 0.151827 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 12.9340 | − | 22.4023i | 0.478709 | − | 0.829148i | ||||
\(731\) | −0.252553 | − | 0.437435i | −0.00934102 | − | 0.0161791i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.44854 | − | 16.3653i | 0.348990 | − | 0.604468i | −0.637081 | − | 0.770797i | \(-0.719858\pi\) |
0.986070 | + | 0.166329i | \(0.0531915\pi\) | |||||||
\(734\) | −5.72740 | −0.211402 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −47.9392 | −1.76706 | ||||||||
\(737\) | 28.6321 | − | 18.9832i | 1.05468 | − | 0.699254i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.37920 | − | 14.5132i | −0.308234 | − | 0.533877i | 0.669742 | − | 0.742594i | \(-0.266405\pi\) |
−0.977976 | + | 0.208717i | \(0.933071\pi\) | |||||||
\(740\) | −7.41094 | −0.272431 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −47.9861 | −1.76163 | ||||||||
\(743\) | −21.0978 | − | 36.5425i | −0.774004 | − | 1.34061i | −0.935353 | − | 0.353716i | \(-0.884918\pi\) |
0.161349 | − | 0.986897i | \(-0.448415\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 12.1508 | 0.445170 | ||||||||
\(746\) | −40.5272 | −1.48381 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 4.27158 | − | 7.39859i | 0.156184 | − | 0.270519i | ||||
\(749\) | −22.5015 | + | 38.9738i | −0.822188 | + | 1.42407i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.95215 | 0.363159 | 0.181579 | − | 0.983376i | \(-0.441879\pi\) | ||||
0.181579 | + | 0.983376i | \(0.441879\pi\) | |||||||
\(752\) | −7.88877 | −0.287674 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 12.0689 | + | 20.9039i | 0.439523 | + | 0.761276i | ||||
\(755\) | −6.95115 | − | 12.0397i | −0.252978 | − | 0.438171i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −16.3910 | + | 28.3901i | −0.595742 | + | 1.03186i | 0.397700 | + | 0.917516i | \(0.369809\pi\) |
−0.993442 | + | 0.114340i | \(0.963525\pi\) | |||||||
\(758\) | 35.8186 | − | 62.0395i | 1.30099 | − | 2.25338i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.40962 | − | 5.90564i | −0.123680 | − | 0.214220i | ||||
\(761\) | −51.3360 | −1.86093 | −0.930464 | − | 0.366384i | \(-0.880596\pi\) | ||||
−0.930464 | + | 0.366384i | \(0.880596\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 17.6139 | − | 30.5081i | 0.637664 | − | 1.10447i | ||||
\(764\) | 51.8937 | 1.87745 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.6110 | + | 18.3787i | −0.383390 | + | 0.664050i | ||||
\(767\) | 8.42533 | + | 14.5931i | 0.304221 | + | 0.526926i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.15638 | − | 14.1273i | 0.294126 | − | 0.509442i | −0.680655 | − | 0.732604i | \(-0.738305\pi\) |
0.974781 | + | 0.223162i | \(0.0716380\pi\) | |||||||
\(770\) | 16.6995 | − | 28.9243i | 0.601807 | − | 1.04236i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −15.4275 | + | 26.7212i | −0.555248 | + | 0.961718i | ||||
\(773\) | −0.492414 | + | 0.852885i | −0.0177109 | + | 0.0306762i | −0.874745 | − | 0.484583i | \(-0.838971\pi\) |
0.857034 | + | 0.515260i | \(0.172305\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −13.8371 | + | 23.9666i | −0.497044 | + | 0.860906i | ||||
\(776\) | 3.29321 | + | 5.70401i | 0.118219 | + | 0.204762i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −28.1199 | + | 48.7051i | −1.00815 | + | 1.74616i | ||||
\(779\) | −32.8544 | −1.17713 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 12.4935 | + | 21.6394i | 0.447053 | + | 0.774318i | ||||
\(782\) | 10.5806 | 0.378363 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.30381 | − | 5.72237i | 0.117993 | − | 0.204370i | ||||
\(785\) | −6.80052 | − | 11.7788i | −0.242721 | − | 0.420405i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4.52104 | − | 7.83066i | −0.161158 | − | 0.279133i | 0.774127 | − | 0.633031i | \(-0.218189\pi\) |
−0.935284 | + | 0.353898i | \(0.884856\pi\) | |||||||
\(788\) | 3.73598 | + | 6.47090i | 0.133089 | + | 0.230516i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −24.1911 | −0.860679 | ||||||||
\(791\) | −3.12232 | − | 5.40801i | −0.111017 | − | 0.192287i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 5.61141 | − | 9.71925i | 0.199267 | − | 0.345141i | ||||
\(794\) | −20.9898 | − | 36.3554i | −0.744901 | − | 1.29021i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 43.3364 | 1.53602 | ||||||||
\(797\) | 9.45581 | − | 16.3779i | 0.334942 | − | 0.580136i | −0.648532 | − | 0.761188i | \(-0.724617\pi\) |
0.983474 | + | 0.181051i | \(0.0579500\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.20495 | 0.0780054 | ||||||||
\(800\) | −13.8236 | + | 23.9432i | −0.488739 | + | 0.846522i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −28.5179 | − | 49.3944i | −1.00700 | − | 1.74418i | ||||
\(803\) | 41.3366 | 1.45874 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 22.5776 | 0.795758 | ||||||||
\(806\) | 13.5006 | + | 23.3837i | 0.475539 | + | 0.823657i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.84633 | − | 3.19794i | 0.0649538 | − | 0.112503i | ||||
\(809\) | −18.0647 | −0.635122 | −0.317561 | − | 0.948238i | \(-0.602864\pi\) | ||||
−0.317561 | + | 0.948238i | \(0.602864\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −3.87965 | + | 6.71975i | −0.136233 | + | 0.235962i | −0.926068 | − | 0.377357i | \(-0.876833\pi\) |
0.789835 | + | 0.613320i | \(0.210166\pi\) | |||||||
\(812\) | −52.4739 | −1.84147 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −10.8483 | − | 18.7899i | −0.380234 | − | 0.658584i | ||||
\(815\) | −7.82949 | + | 13.5611i | −0.274255 | + | 0.475024i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.91856 | − | 3.32305i | −0.0671220 | − | 0.116259i | ||||
\(818\) | 17.9867 | 0.628890 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 7.68120 | + | 13.3042i | 0.268239 | + | 0.464604i | ||||
\(821\) | 18.6966 | + | 32.3834i | 0.652515 | + | 1.13019i | 0.982511 | + | 0.186207i | \(0.0596194\pi\) |
−0.329996 | + | 0.943982i | \(0.607047\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −16.0928 | − | 27.8736i | −0.560960 | − | 0.971612i | −0.997413 | − | 0.0718846i | \(-0.977099\pi\) |
0.436453 | − | 0.899727i | \(-0.356235\pi\) | |||||||
\(824\) | 5.60672 | − | 9.71112i | 0.195319 | − | 0.338303i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −67.1136 | −2.33518 | ||||||||
\(827\) | 16.4070 | + | 28.4177i | 0.570526 | + | 0.988179i | 0.996512 | + | 0.0834498i | \(0.0265938\pi\) |
−0.425986 | + | 0.904730i | \(0.640073\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.0121 | −0.347735 | −0.173867 | − | 0.984769i | \(-0.555626\pi\) | ||||
−0.173867 | + | 0.984769i | \(0.555626\pi\) | |||||||
\(830\) | −4.39928 | + | 7.61978i | −0.152701 | + | 0.264487i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 8.65033 | + | 14.9828i | 0.299896 | + | 0.519435i | ||||
\(833\) | −0.923430 | + | 1.59943i | −0.0319949 | + | 0.0554169i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 12.0486 | − | 20.8687i | 0.416958 | − | 0.722192i | ||||
\(836\) | 32.4497 | − | 56.2046i | 1.12230 | − | 1.94388i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.08433 | + | 7.07426i | −0.141091 | + | 0.244376i | ||||
\(839\) | 12.0279 | − | 20.8330i | 0.415250 | − | 0.719235i | −0.580204 | − | 0.814471i | \(-0.697027\pi\) |
0.995455 | + | 0.0952362i | \(0.0303607\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.4575 | − | 19.8449i | −0.395085 | − | 0.684308i | ||||
\(842\) | 8.16008 | − | 14.1337i | 0.281215 | − | 0.487079i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −46.4197 | −1.59783 | ||||||||
\(845\) | 6.54039 | − | 11.3283i | 0.224996 | − | 0.389705i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 20.0412 | 0.688623 | ||||||||
\(848\) | −11.4336 | − | 19.8036i | −0.392631 | − | 0.680057i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.05101 | − | 5.28451i | 0.104649 | − | 0.181257i | ||||
\(851\) | 7.33346 | − | 12.7019i | 0.251388 | − | 0.435416i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −19.3792 | − | 33.5658i | −0.663531 | − | 1.14927i | −0.979681 | − | 0.200561i | \(-0.935724\pi\) |
0.316150 | − | 0.948709i | \(-0.397610\pi\) | |||||||
\(854\) | 22.3494 | + | 38.7103i | 0.764780 | + | 1.32464i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 12.5785 | 0.429926 | ||||||||
\(857\) | 34.0177 | 1.16202 | 0.581012 | − | 0.813895i | \(-0.302657\pi\) | ||||
0.581012 | + | 0.813895i | \(0.302657\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.09931 | − | 5.36817i | 0.105747 | − | 0.183160i | −0.808296 | − | 0.588776i | \(-0.799610\pi\) |
0.914043 | + | 0.405617i | \(0.132943\pi\) | |||||||
\(860\) | −0.897101 | + | 1.55382i | −0.0305909 | + | 0.0529850i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −48.2286 | −1.64267 | ||||||||
\(863\) | 12.8546 | 0.437574 | 0.218787 | − | 0.975773i | \(-0.429790\pi\) | ||||
0.218787 | + | 0.975773i | \(0.429790\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 13.4875 | + | 23.3610i | 0.458587 | + | 0.794296i | ||||
\(866\) | 43.3843 | 1.47426 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −58.6988 | −1.99237 | ||||||||
\(869\) | −19.3284 | − | 33.4778i | −0.655672 | − | 1.13566i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.807868 | − | 13.0423i | −0.0273736 | − | 0.441921i | ||||
\(872\) | −9.84630 | −0.333438 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 80.3776 | 2.71881 | ||||||||
\(875\) | 15.9911 | − | 27.6974i | 0.540597 | − | 0.936342i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −3.90647 | − | 6.76620i | −0.131912 | − | 0.228478i | 0.792502 | − | 0.609870i | \(-0.208778\pi\) |
−0.924414 | + | 0.381392i | \(0.875445\pi\) | |||||||
\(878\) | 33.8910 | − | 58.7009i | 1.14376 | − | 1.98106i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 15.9159 | 0.536523 | ||||||||
\(881\) | 7.47652 | + | 12.9497i | 0.251890 | + | 0.436287i | 0.964046 | − | 0.265735i | \(-0.0856145\pi\) |
−0.712156 | + | 0.702021i | \(0.752281\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.31031 | + | 10.9298i | −0.212359 | + | 0.367816i | −0.952452 | − | 0.304688i | \(-0.901448\pi\) |
0.740093 | + | 0.672504i | \(0.234781\pi\) | |||||||
\(884\) | −1.62481 | − | 2.81426i | −0.0546484 | − | 0.0946539i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 68.3588 | 2.29656 | ||||||||
\(887\) | 19.2017 | + | 33.2583i | 0.644729 | + | 1.11670i | 0.984364 | + | 0.176147i | \(0.0563633\pi\) |
−0.339634 | + | 0.940558i | \(0.610303\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 5.49395 | + | 9.51580i | 0.184261 | + | 0.319150i | ||||
\(890\) | 11.6861 | + | 20.2410i | 0.391721 | + | 0.678480i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 25.1859 | − | 43.6233i | 0.843286 | − | 1.46061i | ||||
\(893\) | 16.7502 | 0.560525 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.1508 | −0.406156 | ||||||||
\(896\) | −20.1105 | −0.671846 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −72.1557 | −2.40787 | ||||||||
\(899\) | −29.0368 | − | 50.2932i | −0.968431 | − | 1.67737i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.19574 | + | 5.53518i | 0.106466 | + | 0.184404i | ||||
\(902\) | −22.4879 | + | 38.9502i | −0.748765 | + | 1.29690i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.872702 | + | 1.51156i | −0.0290256 | + | 0.0502739i | ||||
\(905\) | −12.5533 | + | 21.7430i | −0.417286 | + | 0.722760i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −20.7188 | + | 35.8860i | −0.687955 | + | 1.19157i | 0.284543 | + | 0.958663i | \(0.408158\pi\) |
−0.972498 | + | 0.232910i | \(0.925175\pi\) | |||||||
\(908\) | −15.5728 | − | 26.9728i | −0.516800 | − | 0.895124i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −6.35211 | − | 11.0022i | −0.210571 | − | 0.364719i | ||||
\(911\) | 8.21843 | 0.272289 | 0.136144 | − | 0.990689i | \(-0.456529\pi\) | ||||
0.136144 | + | 0.990689i | \(0.456529\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −14.0600 | −0.465316 | ||||||||
\(914\) | 9.32906 | 0.308578 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −52.1387 | −1.72271 | ||||||||
\(917\) | −24.7633 | + | 42.8913i | −0.817757 | + | 1.41640i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.62324 | + | 4.54359i | 0.0865328 | + | 0.149879i | 0.906043 | − | 0.423185i | \(-0.139088\pi\) |
−0.819511 | + | 0.573064i | \(0.805755\pi\) | |||||||
\(920\) | −3.15528 | − | 5.46510i | −0.104026 | − | 0.180179i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 23.7951 | + | 41.2142i | 0.783648 | + | 1.35732i | ||||
\(923\) | 9.50451 | 0.312845 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.22932 | − | 7.32540i | −0.139059 | − | 0.240858i | ||||
\(926\) | −5.03114 | + | 8.71419i | −0.165333 | + | 0.286366i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −29.0085 | − | 50.2442i | −0.952250 | − | 1.64935i | ||||
\(929\) | 21.6785 | 0.711249 | 0.355624 | − | 0.934629i | \(-0.384268\pi\) | ||||
0.355624 | + | 0.934629i | \(0.384268\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −7.01499 | + | 12.1503i | −0.229907 | + | 0.398210i | ||||
\(932\) | −20.3716 | − | 35.2846i | −0.667294 | − | 1.15579i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −19.4575 | + | 33.7013i | −0.636668 | + | 1.10274i | ||||
\(935\) | −4.44855 | −0.145483 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 35.9319 | 1.17385 | 0.586923 | − | 0.809643i | \(-0.300339\pi\) | ||||
0.586923 | + | 0.809643i | \(0.300339\pi\) | |||||||
\(938\) | 46.5949 | + | 23.1862i | 1.52138 | + | 0.757056i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.91612 | − | 6.78292i | −0.127730 | − | 0.221235i | ||||
\(941\) | −56.3048 | −1.83548 | −0.917742 | − | 0.397178i | \(-0.869989\pi\) | ||||
−0.917742 | + | 0.397178i | \(0.869989\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −30.4036 | −0.990077 | ||||||||
\(944\) | −15.9911 | − | 27.6974i | −0.520465 | − | 0.901472i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.25280 | −0.170783 | ||||||||
\(947\) | 16.8658 | 0.548065 | 0.274032 | − | 0.961720i | \(-0.411642\pi\) | ||||
0.274032 | + | 0.961720i | \(0.411642\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.86177 | − | 13.6170i | 0.255204 | − | 0.442026i | ||||
\(950\) | 23.1775 | − | 40.1446i | 0.751978 | − | 1.30246i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 2.17317 | 0.0704330 | ||||||||
\(953\) | 6.35831 | 0.205966 | 0.102983 | − | 0.994683i | \(-0.467161\pi\) | ||||
0.102983 | + | 0.994683i | \(0.467161\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −13.5109 | − | 23.4016i | −0.437203 | − | 0.757259i | ||||
\(956\) | −21.6344 | − | 37.4718i | −0.699705 | − | 1.21193i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −9.57449 | + | 16.5835i | −0.309338 | + | 0.535789i | ||||
\(959\) | 10.3027 | − | 17.8448i | 0.332691 | − | 0.576239i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −16.9814 | − | 29.4127i | −0.547787 | − | 0.948795i | ||||
\(962\) | −8.25293 | −0.266085 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −25.9027 | + | 44.8648i | −0.834269 | + | 1.44500i | ||||
\(965\) | 16.0667 | 0.517204 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 7.70179 | − | 13.3399i | 0.247673 | − | 0.428982i | −0.715207 | − | 0.698913i | \(-0.753668\pi\) |
0.962880 | + | 0.269931i | \(0.0870009\pi\) | |||||||
\(968\) | −2.80080 | − | 4.85112i | −0.0900210 | − | 0.155921i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 10.2130 | − | 17.6894i | 0.327919 | − | 0.567973i | ||||
\(971\) | −3.16040 | + | 5.47397i | −0.101422 | + | 0.175668i | −0.912271 | − | 0.409588i | \(-0.865673\pi\) |
0.810849 | + | 0.585256i | \(0.199006\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 6.94520 | − | 12.0294i | 0.222653 | − | 0.385646i | ||||
\(974\) | −10.9599 | + | 18.9832i | −0.351179 | + | 0.608260i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −10.6503 | + | 18.4469i | −0.340909 | + | 0.590471i | ||||
\(977\) | −4.09502 | − | 7.09277i | −0.131011 | − | 0.226918i | 0.793055 | − | 0.609149i | \(-0.208489\pi\) |
−0.924067 | + | 0.382231i | \(0.875156\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −18.6743 | + | 32.3448i | −0.596832 | + | 1.03374i | ||||
\(980\) | 6.56028 | 0.209560 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −38.2244 | − | 66.2065i | −1.21979 | − | 2.11274i | ||||
\(983\) | −39.9217 | −1.27330 | −0.636652 | − | 0.771151i | \(-0.719681\pi\) | ||||
−0.636652 | + | 0.771151i | \(0.719681\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.94538 | − | 3.36950i | 0.0619850 | − | 0.107361i | ||||
\(986\) | 6.40246 | + | 11.0894i | 0.203896 | + | 0.353158i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −12.3432 | − | 21.3790i | −0.392689 | − | 0.680157i | ||||
\(989\) | −1.77544 | − | 3.07516i | −0.0564558 | − | 0.0977843i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 33.8841 | 1.07636 | 0.538182 | − | 0.842829i | \(-0.319111\pi\) | ||||
0.538182 | + | 0.842829i | \(0.319111\pi\) | |||||||
\(992\) | −32.4497 | − | 56.2046i | −1.03028 | − | 1.78450i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −18.9275 | + | 32.7834i | −0.600344 | + | 1.03983i | ||||
\(995\) | −11.2830 | − | 19.5427i | −0.357694 | − | 0.619544i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −34.0527 | −1.07846 | −0.539230 | − | 0.842158i | \(-0.681285\pi\) | ||||
−0.539230 | + | 0.842158i | \(0.681285\pi\) | |||||||
\(998\) | 28.2782 | − | 48.9793i | 0.895130 | − | 1.55041i | ||||
\(999\) | 0 | 0 |
(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 | 603.2.g.h.37.2 | ✓ | 12 | |
3.2 | odd | 2 | inner | 603.2.g.h.37.5 | yes | 12 | |
67.29 | even | 3 | inner | 603.2.g.h.163.2 | yes | 12 | |
201.29 | odd | 6 | inner | 603.2.g.h.163.5 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
603.2.g.h.37.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
603.2.g.h.37.5 | yes | 12 | 3.2 | odd | 2 | inner | |
603.2.g.h.163.2 | yes | 12 | 67.29 | even | 3 | inner | |
603.2.g.h.163.5 | yes | 12 | 201.29 | odd | 6 | inner |