Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(64,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.c (of order \(2\), degree \(1\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.350464.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{6} - 2x^{5} + 2x^{4} + 2x^{3} + 4x^{2} - 4x + 2 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 64.1 | ||
Root | \(-0.854638 - 0.854638i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 273.64 |
Dual form | 273.2.c.b.64.6 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.17009i | − | 1.53448i | −0.641358 | − | 0.767241i | \(-0.721629\pi\) | ||
0.641358 | − | 0.767241i | \(-0.278371\pi\) | |||||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | −2.70928 | −1.35464 | ||||||||
\(5\) | 0.630898i | 0.282146i | 0.989999 | + | 0.141073i | \(0.0450552\pi\) | ||||
−0.989999 | + | 0.141073i | \(0.954945\pi\) | |||||||
\(6\) | − | 2.17009i | − | 0.885934i | ||||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | 1.53919i | 0.544185i | ||||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | 1.36910 | 0.432948 | ||||||||
\(11\) | − | 5.70928i | − | 1.72141i | −0.509103 | − | 0.860706i | \(-0.670023\pi\) | ||
0.509103 | − | 0.860706i | \(-0.329977\pi\) | |||||||
\(12\) | −2.70928 | −0.782100 | ||||||||
\(13\) | −2.17009 | − | 2.87936i | −0.601874 | − | 0.798591i | ||||
\(14\) | −2.17009 | −0.579980 | ||||||||
\(15\) | 0.630898i | 0.162897i | ||||||||
\(16\) | −2.07838 | −0.519594 | ||||||||
\(17\) | 1.07838 | 0.261545 | 0.130773 | − | 0.991412i | \(-0.458254\pi\) | ||||
0.130773 | + | 0.991412i | \(0.458254\pi\) | |||||||
\(18\) | − | 2.17009i | − | 0.511494i | ||||||
\(19\) | 7.41855i | 1.70193i | 0.525221 | + | 0.850966i | \(0.323983\pi\) | ||||
−0.525221 | + | 0.850966i | \(0.676017\pi\) | |||||||
\(20\) | − | 1.70928i | − | 0.382206i | ||||||
\(21\) | − | 1.00000i | − | 0.218218i | ||||||
\(22\) | −12.3896 | −2.64148 | ||||||||
\(23\) | 5.41855 | 1.12985 | 0.564923 | − | 0.825144i | \(-0.308906\pi\) | ||||
0.564923 | + | 0.825144i | \(0.308906\pi\) | |||||||
\(24\) | 1.53919i | 0.314186i | ||||||||
\(25\) | 4.60197 | 0.920394 | ||||||||
\(26\) | −6.24846 | + | 4.70928i | −1.22542 | + | 0.923565i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 2.70928i | 0.512005i | ||||||||
\(29\) | 6.68035 | 1.24051 | 0.620255 | − | 0.784401i | \(-0.287029\pi\) | ||||
0.620255 | + | 0.784401i | \(0.287029\pi\) | |||||||
\(30\) | 1.36910 | 0.249963 | ||||||||
\(31\) | 6.15676i | 1.10579i | 0.833252 | + | 0.552893i | \(0.186476\pi\) | ||||
−0.833252 | + | 0.552893i | \(0.813524\pi\) | |||||||
\(32\) | 7.58864i | 1.34149i | ||||||||
\(33\) | − | 5.70928i | − | 0.993857i | ||||||
\(34\) | − | 2.34017i | − | 0.401336i | ||||||
\(35\) | 0.630898 | 0.106641 | ||||||||
\(36\) | −2.70928 | −0.451546 | ||||||||
\(37\) | 3.41855i | 0.562006i | 0.959707 | + | 0.281003i | \(0.0906671\pi\) | ||||
−0.959707 | + | 0.281003i | \(0.909333\pi\) | |||||||
\(38\) | 16.0989 | 2.61159 | ||||||||
\(39\) | −2.17009 | − | 2.87936i | −0.347492 | − | 0.461067i | ||||
\(40\) | −0.971071 | −0.153540 | ||||||||
\(41\) | 1.21235i | 0.189337i | 0.995509 | + | 0.0946684i | \(0.0301791\pi\) | ||||
−0.995509 | + | 0.0946684i | \(0.969821\pi\) | |||||||
\(42\) | −2.17009 | −0.334852 | ||||||||
\(43\) | −12.6803 | −1.93373 | −0.966867 | − | 0.255279i | \(-0.917833\pi\) | ||||
−0.966867 | + | 0.255279i | \(0.917833\pi\) | |||||||
\(44\) | 15.4680i | 2.33189i | ||||||||
\(45\) | 0.630898i | 0.0940487i | ||||||||
\(46\) | − | 11.7587i | − | 1.73373i | ||||||
\(47\) | 6.04945i | 0.882403i | 0.897408 | + | 0.441201i | \(0.145448\pi\) | ||||
−0.897408 | + | 0.441201i | \(0.854552\pi\) | |||||||
\(48\) | −2.07838 | −0.299988 | ||||||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | − | 9.98667i | − | 1.41233i | ||||||
\(51\) | 1.07838 | 0.151003 | ||||||||
\(52\) | 5.87936 | + | 7.80098i | 0.815321 | + | 1.08180i | ||||
\(53\) | −6.00000 | −0.824163 | −0.412082 | − | 0.911147i | \(-0.635198\pi\) | ||||
−0.412082 | + | 0.911147i | \(0.635198\pi\) | |||||||
\(54\) | − | 2.17009i | − | 0.295311i | ||||||
\(55\) | 3.60197 | 0.485689 | ||||||||
\(56\) | 1.53919 | 0.205683 | ||||||||
\(57\) | 7.41855i | 0.982611i | ||||||||
\(58\) | − | 14.4969i | − | 1.90354i | ||||||
\(59\) | − | 1.36910i | − | 0.178242i | −0.996021 | − | 0.0891210i | \(-0.971594\pi\) | ||
0.996021 | − | 0.0891210i | \(-0.0284058\pi\) | |||||||
\(60\) | − | 1.70928i | − | 0.220667i | ||||||
\(61\) | 12.6537 | 1.62014 | 0.810069 | − | 0.586334i | \(-0.199430\pi\) | ||||
0.810069 | + | 0.586334i | \(0.199430\pi\) | |||||||
\(62\) | 13.3607 | 1.69681 | ||||||||
\(63\) | − | 1.00000i | − | 0.125988i | ||||||
\(64\) | 12.3112 | 1.53891 | ||||||||
\(65\) | 1.81658 | − | 1.36910i | 0.225319 | − | 0.169816i | ||||
\(66\) | −12.3896 | −1.52506 | ||||||||
\(67\) | 0.581449i | 0.0710353i | 0.999369 | + | 0.0355177i | \(0.0113080\pi\) | ||||
−0.999369 | + | 0.0355177i | \(0.988692\pi\) | |||||||
\(68\) | −2.92162 | −0.354299 | ||||||||
\(69\) | 5.41855 | 0.652317 | ||||||||
\(70\) | − | 1.36910i | − | 0.163639i | ||||||
\(71\) | − | 4.81432i | − | 0.571354i | −0.958326 | − | 0.285677i | \(-0.907782\pi\) | ||
0.958326 | − | 0.285677i | \(-0.0922185\pi\) | |||||||
\(72\) | 1.53919i | 0.181395i | ||||||||
\(73\) | − | 3.81658i | − | 0.446697i | −0.974739 | − | 0.223349i | \(-0.928301\pi\) | ||
0.974739 | − | 0.223349i | \(-0.0716988\pi\) | |||||||
\(74\) | 7.41855 | 0.862389 | ||||||||
\(75\) | 4.60197 | 0.531390 | ||||||||
\(76\) | − | 20.0989i | − | 2.30550i | ||||||
\(77\) | −5.70928 | −0.650632 | ||||||||
\(78\) | −6.24846 | + | 4.70928i | −0.707499 | + | 0.533220i | ||||
\(79\) | −1.65983 | −0.186745 | −0.0933726 | − | 0.995631i | \(-0.529765\pi\) | ||||
−0.0933726 | + | 0.995631i | \(0.529765\pi\) | |||||||
\(80\) | − | 1.31124i | − | 0.146601i | ||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 2.63090 | 0.290534 | ||||||||
\(83\) | − | 12.8865i | − | 1.41448i | −0.706972 | − | 0.707241i | \(-0.749939\pi\) | ||
0.706972 | − | 0.707241i | \(-0.250061\pi\) | |||||||
\(84\) | 2.70928i | 0.295606i | ||||||||
\(85\) | 0.680346i | 0.0737939i | ||||||||
\(86\) | 27.5174i | 2.96728i | ||||||||
\(87\) | 6.68035 | 0.716208 | ||||||||
\(88\) | 8.78765 | 0.936767 | ||||||||
\(89\) | 6.20620i | 0.657856i | 0.944355 | + | 0.328928i | \(0.106687\pi\) | ||||
−0.944355 | + | 0.328928i | \(0.893313\pi\) | |||||||
\(90\) | 1.36910 | 0.144316 | ||||||||
\(91\) | −2.87936 | + | 2.17009i | −0.301839 | + | 0.227487i | ||||
\(92\) | −14.6803 | −1.53053 | ||||||||
\(93\) | 6.15676i | 0.638426i | ||||||||
\(94\) | 13.1278 | 1.35403 | ||||||||
\(95\) | −4.68035 | −0.480193 | ||||||||
\(96\) | 7.58864i | 0.774512i | ||||||||
\(97\) | − | 1.07838i | − | 0.109493i | −0.998500 | − | 0.0547463i | \(-0.982565\pi\) | ||
0.998500 | − | 0.0547463i | \(-0.0174350\pi\) | |||||||
\(98\) | 2.17009i | 0.219212i | ||||||||
\(99\) | − | 5.70928i | − | 0.573804i | ||||||
\(100\) | −12.4680 | −1.24680 | ||||||||
\(101\) | −7.23513 | −0.719923 | −0.359961 | − | 0.932967i | \(-0.617210\pi\) | ||||
−0.359961 | + | 0.932967i | \(0.617210\pi\) | |||||||
\(102\) | − | 2.34017i | − | 0.231712i | ||||||
\(103\) | 13.7587 | 1.35569 | 0.677844 | − | 0.735206i | \(-0.262915\pi\) | ||||
0.677844 | + | 0.735206i | \(0.262915\pi\) | |||||||
\(104\) | 4.43188 | − | 3.34017i | 0.434582 | − | 0.327531i | ||||
\(105\) | 0.630898 | 0.0615693 | ||||||||
\(106\) | 13.0205i | 1.26466i | ||||||||
\(107\) | −10.0989 | −0.976297 | −0.488149 | − | 0.872761i | \(-0.662328\pi\) | ||||
−0.488149 | + | 0.872761i | \(0.662328\pi\) | |||||||
\(108\) | −2.70928 | −0.260700 | ||||||||
\(109\) | 17.9421i | 1.71855i | 0.511518 | + | 0.859273i | \(0.329083\pi\) | ||||
−0.511518 | + | 0.859273i | \(0.670917\pi\) | |||||||
\(110\) | − | 7.81658i | − | 0.745282i | ||||||
\(111\) | 3.41855i | 0.324474i | ||||||||
\(112\) | 2.07838i | 0.196388i | ||||||||
\(113\) | 10.6803 | 1.00472 | 0.502361 | − | 0.864658i | \(-0.332465\pi\) | ||||
0.502361 | + | 0.864658i | \(0.332465\pi\) | |||||||
\(114\) | 16.0989 | 1.50780 | ||||||||
\(115\) | 3.41855i | 0.318781i | ||||||||
\(116\) | −18.0989 | −1.68044 | ||||||||
\(117\) | −2.17009 | − | 2.87936i | −0.200625 | − | 0.266197i | ||||
\(118\) | −2.97107 | −0.273509 | ||||||||
\(119\) | − | 1.07838i | − | 0.0988547i | ||||||
\(120\) | −0.971071 | −0.0886462 | ||||||||
\(121\) | −21.5958 | −1.96326 | ||||||||
\(122\) | − | 27.4596i | − | 2.48607i | ||||||
\(123\) | 1.21235i | 0.109314i | ||||||||
\(124\) | − | 16.6803i | − | 1.49794i | ||||||
\(125\) | 6.05786i | 0.541831i | ||||||||
\(126\) | −2.17009 | −0.193327 | ||||||||
\(127\) | 6.34017 | 0.562599 | 0.281300 | − | 0.959620i | \(-0.409235\pi\) | ||||
0.281300 | + | 0.959620i | \(0.409235\pi\) | |||||||
\(128\) | − | 11.5392i | − | 1.01993i | ||||||
\(129\) | −12.6803 | −1.11644 | ||||||||
\(130\) | −2.97107 | − | 3.94214i | −0.260580 | − | 0.345749i | ||||
\(131\) | −7.51745 | −0.656802 | −0.328401 | − | 0.944538i | \(-0.606510\pi\) | ||||
−0.328401 | + | 0.944538i | \(0.606510\pi\) | |||||||
\(132\) | 15.4680i | 1.34632i | ||||||||
\(133\) | 7.41855 | 0.643270 | ||||||||
\(134\) | 1.26180 | 0.109003 | ||||||||
\(135\) | 0.630898i | 0.0542990i | ||||||||
\(136\) | 1.65983i | 0.142329i | ||||||||
\(137\) | − | 4.47414i | − | 0.382252i | −0.981566 | − | 0.191126i | \(-0.938786\pi\) | ||
0.981566 | − | 0.191126i | \(-0.0612139\pi\) | |||||||
\(138\) | − | 11.7587i | − | 1.00097i | ||||||
\(139\) | −9.75872 | −0.827724 | −0.413862 | − | 0.910340i | \(-0.635820\pi\) | ||||
−0.413862 | + | 0.910340i | \(0.635820\pi\) | |||||||
\(140\) | −1.70928 | −0.144460 | ||||||||
\(141\) | 6.04945i | 0.509455i | ||||||||
\(142\) | −10.4475 | −0.876733 | ||||||||
\(143\) | −16.4391 | + | 12.3896i | −1.37470 | + | 1.03607i | ||||
\(144\) | −2.07838 | −0.173198 | ||||||||
\(145\) | 4.21461i | 0.350005i | ||||||||
\(146\) | −8.28231 | −0.685449 | ||||||||
\(147\) | −1.00000 | −0.0824786 | ||||||||
\(148\) | − | 9.26180i | − | 0.761315i | ||||||
\(149\) | 1.46800i | 0.120263i | 0.998190 | + | 0.0601316i | \(0.0191520\pi\) | ||||
−0.998190 | + | 0.0601316i | \(0.980848\pi\) | |||||||
\(150\) | − | 9.98667i | − | 0.815408i | ||||||
\(151\) | − | 13.3607i | − | 1.08728i | −0.839319 | − | 0.543639i | \(-0.817046\pi\) | ||
0.839319 | − | 0.543639i | \(-0.182954\pi\) | |||||||
\(152\) | −11.4186 | −0.926167 | ||||||||
\(153\) | 1.07838 | 0.0871817 | ||||||||
\(154\) | 12.3896i | 0.998384i | ||||||||
\(155\) | −3.88428 | −0.311993 | ||||||||
\(156\) | 5.87936 | + | 7.80098i | 0.470726 | + | 0.624579i | ||||
\(157\) | −8.15676 | −0.650980 | −0.325490 | − | 0.945545i | \(-0.605529\pi\) | ||||
−0.325490 | + | 0.945545i | \(0.605529\pi\) | |||||||
\(158\) | 3.60197i | 0.286557i | ||||||||
\(159\) | −6.00000 | −0.475831 | ||||||||
\(160\) | −4.78765 | −0.378497 | ||||||||
\(161\) | − | 5.41855i | − | 0.427042i | ||||||
\(162\) | − | 2.17009i | − | 0.170498i | ||||||
\(163\) | − | 4.58145i | − | 0.358847i | −0.983772 | − | 0.179423i | \(-0.942577\pi\) | ||
0.983772 | − | 0.179423i | \(-0.0574232\pi\) | |||||||
\(164\) | − | 3.28458i | − | 0.256483i | ||||||
\(165\) | 3.60197 | 0.280413 | ||||||||
\(166\) | −27.9649 | −2.17050 | ||||||||
\(167\) | − | 7.31124i | − | 0.565761i | −0.959155 | − | 0.282881i | \(-0.908710\pi\) | ||
0.959155 | − | 0.282881i | \(-0.0912900\pi\) | |||||||
\(168\) | 1.53919 | 0.118751 | ||||||||
\(169\) | −3.58145 | + | 12.4969i | −0.275496 | + | 0.961302i | ||||
\(170\) | 1.47641 | 0.113235 | ||||||||
\(171\) | 7.41855i | 0.567311i | ||||||||
\(172\) | 34.3545 | 2.61951 | ||||||||
\(173\) | 7.60197 | 0.577967 | 0.288983 | − | 0.957334i | \(-0.406683\pi\) | ||||
0.288983 | + | 0.957334i | \(0.406683\pi\) | |||||||
\(174\) | − | 14.4969i | − | 1.09901i | ||||||
\(175\) | − | 4.60197i | − | 0.347876i | ||||||
\(176\) | 11.8660i | 0.894436i | ||||||||
\(177\) | − | 1.36910i | − | 0.102908i | ||||||
\(178\) | 13.4680 | 1.00947 | ||||||||
\(179\) | 9.10504 | 0.680543 | 0.340271 | − | 0.940327i | \(-0.389481\pi\) | ||||
0.340271 | + | 0.940327i | \(0.389481\pi\) | |||||||
\(180\) | − | 1.70928i | − | 0.127402i | ||||||
\(181\) | 15.3607 | 1.14175 | 0.570876 | − | 0.821037i | \(-0.306604\pi\) | ||||
0.570876 | + | 0.821037i | \(0.306604\pi\) | |||||||
\(182\) | 4.70928 | + | 6.24846i | 0.349075 | + | 0.463167i | ||||
\(183\) | 12.6537 | 0.935387 | ||||||||
\(184\) | 8.34017i | 0.614846i | ||||||||
\(185\) | −2.15676 | −0.158568 | ||||||||
\(186\) | 13.3607 | 0.979653 | ||||||||
\(187\) | − | 6.15676i | − | 0.450227i | ||||||
\(188\) | − | 16.3896i | − | 1.19534i | ||||||
\(189\) | − | 1.00000i | − | 0.0727393i | ||||||
\(190\) | 10.1568i | 0.736848i | ||||||||
\(191\) | −24.5692 | −1.77776 | −0.888881 | − | 0.458138i | \(-0.848517\pi\) | ||||
−0.888881 | + | 0.458138i | \(0.848517\pi\) | |||||||
\(192\) | 12.3112 | 0.888487 | ||||||||
\(193\) | − | 13.5753i | − | 0.977172i | −0.872516 | − | 0.488586i | \(-0.837513\pi\) | ||
0.872516 | − | 0.488586i | \(-0.162487\pi\) | |||||||
\(194\) | −2.34017 | −0.168015 | ||||||||
\(195\) | 1.81658 | − | 1.36910i | 0.130088 | − | 0.0980435i | ||||
\(196\) | 2.70928 | 0.193520 | ||||||||
\(197\) | − | 2.94441i | − | 0.209780i | −0.994484 | − | 0.104890i | \(-0.966551\pi\) | ||
0.994484 | − | 0.104890i | \(-0.0334491\pi\) | |||||||
\(198\) | −12.3896 | −0.880492 | ||||||||
\(199\) | −10.5236 | −0.745998 | −0.372999 | − | 0.927832i | \(-0.621670\pi\) | ||||
−0.372999 | + | 0.927832i | \(0.621670\pi\) | |||||||
\(200\) | 7.08330i | 0.500865i | ||||||||
\(201\) | 0.581449i | 0.0410123i | ||||||||
\(202\) | 15.7009i | 1.10471i | ||||||||
\(203\) | − | 6.68035i | − | 0.468868i | ||||||
\(204\) | −2.92162 | −0.204554 | ||||||||
\(205\) | −0.764867 | −0.0534206 | ||||||||
\(206\) | − | 29.8576i | − | 2.08028i | ||||||
\(207\) | 5.41855 | 0.376615 | ||||||||
\(208\) | 4.51026 | + | 5.98440i | 0.312730 | + | 0.414944i | ||||
\(209\) | 42.3545 | 2.92973 | ||||||||
\(210\) | − | 1.36910i | − | 0.0944770i | ||||||
\(211\) | −3.02052 | −0.207941 | −0.103971 | − | 0.994580i | \(-0.533155\pi\) | ||||
−0.103971 | + | 0.994580i | \(0.533155\pi\) | |||||||
\(212\) | 16.2557 | 1.11644 | ||||||||
\(213\) | − | 4.81432i | − | 0.329871i | ||||||
\(214\) | 21.9155i | 1.49811i | ||||||||
\(215\) | − | 8.00000i | − | 0.545595i | ||||||
\(216\) | 1.53919i | 0.104729i | ||||||||
\(217\) | 6.15676 | 0.417948 | ||||||||
\(218\) | 38.9360 | 2.63708 | ||||||||
\(219\) | − | 3.81658i | − | 0.257901i | ||||||
\(220\) | −9.75872 | −0.657933 | ||||||||
\(221\) | −2.34017 | − | 3.10504i | −0.157417 | − | 0.208868i | ||||
\(222\) | 7.41855 | 0.497901 | ||||||||
\(223\) | 22.6225i | 1.51491i | 0.652885 | + | 0.757457i | \(0.273558\pi\) | ||||
−0.652885 | + | 0.757457i | \(0.726442\pi\) | |||||||
\(224\) | 7.58864 | 0.507037 | ||||||||
\(225\) | 4.60197 | 0.306798 | ||||||||
\(226\) | − | 23.1773i | − | 1.54173i | ||||||
\(227\) | − | 22.9444i | − | 1.52287i | −0.648239 | − | 0.761437i | \(-0.724494\pi\) | ||
0.648239 | − | 0.761437i | \(-0.275506\pi\) | |||||||
\(228\) | − | 20.0989i | − | 1.33108i | ||||||
\(229\) | 21.5441i | 1.42367i | 0.702344 | + | 0.711837i | \(0.252137\pi\) | ||||
−0.702344 | + | 0.711837i | \(0.747863\pi\) | |||||||
\(230\) | 7.41855 | 0.489165 | ||||||||
\(231\) | −5.70928 | −0.375643 | ||||||||
\(232\) | 10.2823i | 0.675067i | ||||||||
\(233\) | 7.36069 | 0.482215 | 0.241107 | − | 0.970498i | \(-0.422489\pi\) | ||||
0.241107 | + | 0.970498i | \(0.422489\pi\) | |||||||
\(234\) | −6.24846 | + | 4.70928i | −0.408475 | + | 0.307855i | ||||
\(235\) | −3.81658 | −0.248966 | ||||||||
\(236\) | 3.70928i | 0.241453i | ||||||||
\(237\) | −1.65983 | −0.107817 | ||||||||
\(238\) | −2.34017 | −0.151691 | ||||||||
\(239\) | 15.5525i | 1.00601i | 0.864284 | + | 0.503004i | \(0.167772\pi\) | ||||
−0.864284 | + | 0.503004i | \(0.832228\pi\) | |||||||
\(240\) | − | 1.31124i | − | 0.0846404i | ||||||
\(241\) | 7.33403i | 0.472426i | 0.971701 | + | 0.236213i | \(0.0759064\pi\) | ||||
−0.971701 | + | 0.236213i | \(0.924094\pi\) | |||||||
\(242\) | 46.8648i | 3.01258i | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −34.2823 | −2.19470 | ||||||||
\(245\) | − | 0.630898i | − | 0.0403066i | ||||||
\(246\) | 2.63090 | 0.167740 | ||||||||
\(247\) | 21.3607 | − | 16.0989i | 1.35915 | − | 1.02435i | ||||
\(248\) | −9.47641 | −0.601753 | ||||||||
\(249\) | − | 12.8865i | − | 0.816652i | ||||||
\(250\) | 13.1461 | 0.831431 | ||||||||
\(251\) | −13.6742 | −0.863108 | −0.431554 | − | 0.902087i | \(-0.642035\pi\) | ||||
−0.431554 | + | 0.902087i | \(0.642035\pi\) | |||||||
\(252\) | 2.70928i | 0.170668i | ||||||||
\(253\) | − | 30.9360i | − | 1.94493i | ||||||
\(254\) | − | 13.7587i | − | 0.863299i | ||||||
\(255\) | 0.680346i | 0.0426049i | ||||||||
\(256\) | −0.418551 | −0.0261594 | ||||||||
\(257\) | −26.1256 | −1.62967 | −0.814834 | − | 0.579695i | \(-0.803172\pi\) | ||||
−0.814834 | + | 0.579695i | \(0.803172\pi\) | |||||||
\(258\) | 27.5174i | 1.71316i | ||||||||
\(259\) | 3.41855 | 0.212418 | ||||||||
\(260\) | −4.92162 | + | 3.70928i | −0.305226 | + | 0.230039i | ||||
\(261\) | 6.68035 | 0.413503 | ||||||||
\(262\) | 16.3135i | 1.00785i | ||||||||
\(263\) | −30.7792 | −1.89793 | −0.948965 | − | 0.315382i | \(-0.897867\pi\) | ||||
−0.948965 | + | 0.315382i | \(0.897867\pi\) | |||||||
\(264\) | 8.78765 | 0.540843 | ||||||||
\(265\) | − | 3.78539i | − | 0.232534i | ||||||
\(266\) | − | 16.0989i | − | 0.987087i | ||||||
\(267\) | 6.20620i | 0.379814i | ||||||||
\(268\) | − | 1.57531i | − | 0.0962271i | ||||||
\(269\) | 5.39189 | 0.328749 | 0.164375 | − | 0.986398i | \(-0.447439\pi\) | ||||
0.164375 | + | 0.986398i | \(0.447439\pi\) | |||||||
\(270\) | 1.36910 | 0.0833209 | ||||||||
\(271\) | 11.4186i | 0.693628i | 0.937934 | + | 0.346814i | \(0.112736\pi\) | ||||
−0.937934 | + | 0.346814i | \(0.887264\pi\) | |||||||
\(272\) | −2.24128 | −0.135897 | ||||||||
\(273\) | −2.87936 | + | 2.17009i | −0.174267 | + | 0.131340i | ||||
\(274\) | −9.70928 | −0.586559 | ||||||||
\(275\) | − | 26.2739i | − | 1.58438i | ||||||
\(276\) | −14.6803 | −0.883653 | ||||||||
\(277\) | 13.1506 | 0.790144 | 0.395072 | − | 0.918650i | \(-0.370720\pi\) | ||||
0.395072 | + | 0.918650i | \(0.370720\pi\) | |||||||
\(278\) | 21.1773i | 1.27013i | ||||||||
\(279\) | 6.15676i | 0.368595i | ||||||||
\(280\) | 0.971071i | 0.0580326i | ||||||||
\(281\) | − | 2.14834i | − | 0.128160i | −0.997945 | − | 0.0640798i | \(-0.979589\pi\) | ||
0.997945 | − | 0.0640798i | \(-0.0204112\pi\) | |||||||
\(282\) | 13.1278 | 0.781751 | ||||||||
\(283\) | −12.1978 | −0.725084 | −0.362542 | − | 0.931968i | \(-0.618091\pi\) | ||||
−0.362542 | + | 0.931968i | \(0.618091\pi\) | |||||||
\(284\) | 13.0433i | 0.773978i | ||||||||
\(285\) | −4.68035 | −0.277240 | ||||||||
\(286\) | 26.8865 | + | 35.6742i | 1.58984 | + | 2.10946i | ||||
\(287\) | 1.21235 | 0.0715626 | ||||||||
\(288\) | 7.58864i | 0.447165i | ||||||||
\(289\) | −15.8371 | −0.931594 | ||||||||
\(290\) | 9.14608 | 0.537076 | ||||||||
\(291\) | − | 1.07838i | − | 0.0632156i | ||||||
\(292\) | 10.3402i | 0.605113i | ||||||||
\(293\) | 7.15449i | 0.417970i | 0.977919 | + | 0.208985i | \(0.0670159\pi\) | ||||
−0.977919 | + | 0.208985i | \(0.932984\pi\) | |||||||
\(294\) | 2.17009i | 0.126562i | ||||||||
\(295\) | 0.863763 | 0.0502903 | ||||||||
\(296\) | −5.26180 | −0.305836 | ||||||||
\(297\) | − | 5.70928i | − | 0.331286i | ||||||
\(298\) | 3.18568 | 0.184542 | ||||||||
\(299\) | −11.7587 | − | 15.6020i | −0.680025 | − | 0.902285i | ||||
\(300\) | −12.4680 | −0.719840 | ||||||||
\(301\) | 12.6803i | 0.730883i | ||||||||
\(302\) | −28.9939 | −1.66841 | ||||||||
\(303\) | −7.23513 | −0.415648 | ||||||||
\(304\) | − | 15.4186i | − | 0.884315i | ||||||
\(305\) | 7.98318i | 0.457116i | ||||||||
\(306\) | − | 2.34017i | − | 0.133779i | ||||||
\(307\) | − | 21.8432i | − | 1.24666i | −0.781959 | − | 0.623330i | \(-0.785779\pi\) | ||
0.781959 | − | 0.623330i | \(-0.214221\pi\) | |||||||
\(308\) | 15.4680 | 0.881371 | ||||||||
\(309\) | 13.7587 | 0.782706 | ||||||||
\(310\) | 8.42923i | 0.478748i | ||||||||
\(311\) | −7.51745 | −0.426275 | −0.213138 | − | 0.977022i | \(-0.568368\pi\) | ||||
−0.213138 | + | 0.977022i | \(0.568368\pi\) | |||||||
\(312\) | 4.43188 | − | 3.34017i | 0.250906 | − | 0.189100i | ||||
\(313\) | 25.7009 | 1.45270 | 0.726349 | − | 0.687326i | \(-0.241215\pi\) | ||||
0.726349 | + | 0.687326i | \(0.241215\pi\) | |||||||
\(314\) | 17.7009i | 0.998918i | ||||||||
\(315\) | 0.630898 | 0.0355471 | ||||||||
\(316\) | 4.49693 | 0.252972 | ||||||||
\(317\) | 9.36910i | 0.526221i | 0.964766 | + | 0.263111i | \(0.0847484\pi\) | ||||
−0.964766 | + | 0.263111i | \(0.915252\pi\) | |||||||
\(318\) | 13.0205i | 0.730154i | ||||||||
\(319\) | − | 38.1399i | − | 2.13543i | ||||||
\(320\) | 7.76713i | 0.434196i | ||||||||
\(321\) | −10.0989 | −0.563665 | ||||||||
\(322\) | −11.7587 | −0.655288 | ||||||||
\(323\) | 8.00000i | 0.445132i | ||||||||
\(324\) | −2.70928 | −0.150515 | ||||||||
\(325\) | −9.98667 | − | 13.2507i | −0.553961 | − | 0.735018i | ||||
\(326\) | −9.94214 | −0.550644 | ||||||||
\(327\) | 17.9421i | 0.992203i | ||||||||
\(328\) | −1.86603 | −0.103034 | ||||||||
\(329\) | 6.04945 | 0.333517 | ||||||||
\(330\) | − | 7.81658i | − | 0.430289i | ||||||
\(331\) | 21.0472i | 1.15686i | 0.815733 | + | 0.578429i | \(0.196334\pi\) | ||||
−0.815733 | + | 0.578429i | \(0.803666\pi\) | |||||||
\(332\) | 34.9132i | 1.91611i | ||||||||
\(333\) | 3.41855i | 0.187335i | ||||||||
\(334\) | −15.8660 | −0.868151 | ||||||||
\(335\) | −0.366835 | −0.0200423 | ||||||||
\(336\) | 2.07838i | 0.113385i | ||||||||
\(337\) | 15.4452 | 0.841354 | 0.420677 | − | 0.907210i | \(-0.361793\pi\) | ||||
0.420677 | + | 0.907210i | \(0.361793\pi\) | |||||||
\(338\) | 27.1194 | + | 7.77205i | 1.47510 | + | 0.422744i | ||||
\(339\) | 10.6803 | 0.580077 | ||||||||
\(340\) | − | 1.84324i | − | 0.0999640i | ||||||
\(341\) | 35.1506 | 1.90351 | ||||||||
\(342\) | 16.0989 | 0.870529 | ||||||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | − | 19.5174i | − | 1.05231i | ||||||
\(345\) | 3.41855i | 0.184049i | ||||||||
\(346\) | − | 16.4969i | − | 0.886880i | ||||||
\(347\) | 21.7321 | 1.16664 | 0.583319 | − | 0.812243i | \(-0.301754\pi\) | ||||
0.583319 | + | 0.812243i | \(0.301754\pi\) | |||||||
\(348\) | −18.0989 | −0.970203 | ||||||||
\(349\) | − | 5.65983i | − | 0.302964i | −0.988460 | − | 0.151482i | \(-0.951596\pi\) | ||
0.988460 | − | 0.151482i | \(-0.0484045\pi\) | |||||||
\(350\) | −9.98667 | −0.533810 | ||||||||
\(351\) | −2.17009 | − | 2.87936i | −0.115831 | − | 0.153689i | ||||
\(352\) | 43.3256 | 2.30926 | ||||||||
\(353\) | 33.7237i | 1.79493i | 0.441087 | + | 0.897464i | \(0.354593\pi\) | ||||
−0.441087 | + | 0.897464i | \(0.645407\pi\) | |||||||
\(354\) | −2.97107 | −0.157911 | ||||||||
\(355\) | 3.03734 | 0.161205 | ||||||||
\(356\) | − | 16.8143i | − | 0.891157i | ||||||
\(357\) | − | 1.07838i | − | 0.0570738i | ||||||
\(358\) | − | 19.7587i | − | 1.04428i | ||||||
\(359\) | − | 18.7031i | − | 0.987114i | −0.869714 | − | 0.493557i | \(-0.835697\pi\) | ||
0.869714 | − | 0.493557i | \(-0.164303\pi\) | |||||||
\(360\) | −0.971071 | −0.0511799 | ||||||||
\(361\) | −36.0349 | −1.89657 | ||||||||
\(362\) | − | 33.3340i | − | 1.75200i | ||||||
\(363\) | −21.5958 | −1.13349 | ||||||||
\(364\) | 7.80098 | − | 5.87936i | 0.408883 | − | 0.308162i | ||||
\(365\) | 2.40787 | 0.126034 | ||||||||
\(366\) | − | 27.4596i | − | 1.43534i | ||||||
\(367\) | 10.0722 | 0.525766 | 0.262883 | − | 0.964828i | \(-0.415327\pi\) | ||||
0.262883 | + | 0.964828i | \(0.415327\pi\) | |||||||
\(368\) | −11.2618 | −0.587062 | ||||||||
\(369\) | 1.21235i | 0.0631123i | ||||||||
\(370\) | 4.68035i | 0.243320i | ||||||||
\(371\) | 6.00000i | 0.311504i | ||||||||
\(372\) | − | 16.6803i | − | 0.864836i | ||||||
\(373\) | 4.24128 | 0.219605 | 0.109802 | − | 0.993953i | \(-0.464978\pi\) | ||||
0.109802 | + | 0.993953i | \(0.464978\pi\) | |||||||
\(374\) | −13.3607 | −0.690865 | ||||||||
\(375\) | 6.05786i | 0.312826i | ||||||||
\(376\) | −9.31124 | −0.480191 | ||||||||
\(377\) | −14.4969 | − | 19.2351i | −0.746630 | − | 0.990660i | ||||
\(378\) | −2.17009 | −0.111617 | ||||||||
\(379\) | − | 20.1978i | − | 1.03749i | −0.854929 | − | 0.518745i | \(-0.826399\pi\) | ||
0.854929 | − | 0.518745i | \(-0.173601\pi\) | |||||||
\(380\) | 12.6803 | 0.650488 | ||||||||
\(381\) | 6.34017 | 0.324817 | ||||||||
\(382\) | 53.3172i | 2.72795i | ||||||||
\(383\) | 7.04331i | 0.359896i | 0.983676 | + | 0.179948i | \(0.0575930\pi\) | ||||
−0.983676 | + | 0.179948i | \(0.942407\pi\) | |||||||
\(384\) | − | 11.5392i | − | 0.588857i | ||||||
\(385\) | − | 3.60197i | − | 0.183573i | ||||||
\(386\) | −29.4596 | −1.49945 | ||||||||
\(387\) | −12.6803 | −0.644578 | ||||||||
\(388\) | 2.92162i | 0.148323i | ||||||||
\(389\) | −3.84324 | −0.194860 | −0.0974301 | − | 0.995242i | \(-0.531062\pi\) | ||||
−0.0974301 | + | 0.995242i | \(0.531062\pi\) | |||||||
\(390\) | −2.97107 | − | 3.94214i | −0.150446 | − | 0.199618i | ||||
\(391\) | 5.84324 | 0.295506 | ||||||||
\(392\) | − | 1.53919i | − | 0.0777408i | ||||||
\(393\) | −7.51745 | −0.379205 | ||||||||
\(394\) | −6.38962 | −0.321904 | ||||||||
\(395\) | − | 1.04718i | − | 0.0526894i | ||||||
\(396\) | 15.4680i | 0.777296i | ||||||||
\(397\) | − | 14.4391i | − | 0.724676i | −0.932047 | − | 0.362338i | \(-0.881979\pi\) | ||
0.932047 | − | 0.362338i | \(-0.118021\pi\) | |||||||
\(398\) | 22.8371i | 1.14472i | ||||||||
\(399\) | 7.41855 | 0.371392 | ||||||||
\(400\) | −9.56463 | −0.478231 | ||||||||
\(401\) | 9.83483i | 0.491128i | 0.969380 | + | 0.245564i | \(0.0789732\pi\) | ||||
−0.969380 | + | 0.245564i | \(0.921027\pi\) | |||||||
\(402\) | 1.26180 | 0.0629326 | ||||||||
\(403\) | 17.7275 | − | 13.3607i | 0.883071 | − | 0.665543i | ||||
\(404\) | 19.6020 | 0.975234 | ||||||||
\(405\) | 0.630898i | 0.0313496i | ||||||||
\(406\) | −14.4969 | −0.719470 | ||||||||
\(407\) | 19.5174 | 0.967444 | ||||||||
\(408\) | 1.65983i | 0.0821737i | ||||||||
\(409\) | 7.54864i | 0.373256i | 0.982431 | + | 0.186628i | \(0.0597560\pi\) | ||||
−0.982431 | + | 0.186628i | \(0.940244\pi\) | |||||||
\(410\) | 1.65983i | 0.0819730i | ||||||||
\(411\) | − | 4.47414i | − | 0.220693i | ||||||
\(412\) | −37.2762 | −1.83647 | ||||||||
\(413\) | −1.36910 | −0.0673691 | ||||||||
\(414\) | − | 11.7587i | − | 0.577910i | ||||||
\(415\) | 8.13009 | 0.399091 | ||||||||
\(416\) | 21.8504 | − | 16.4680i | 1.07131 | − | 0.807410i | ||||
\(417\) | −9.75872 | −0.477887 | ||||||||
\(418\) | − | 91.9130i | − | 4.49561i | ||||||
\(419\) | −35.1506 | −1.71722 | −0.858610 | − | 0.512630i | \(-0.828671\pi\) | ||||
−0.858610 | + | 0.512630i | \(0.828671\pi\) | |||||||
\(420\) | −1.70928 | −0.0834041 | ||||||||
\(421\) | − | 25.6742i | − | 1.25128i | −0.780110 | − | 0.625642i | \(-0.784837\pi\) | ||
0.780110 | − | 0.625642i | \(-0.215163\pi\) | |||||||
\(422\) | 6.55479i | 0.319082i | ||||||||
\(423\) | 6.04945i | 0.294134i | ||||||||
\(424\) | − | 9.23513i | − | 0.448498i | ||||||
\(425\) | 4.96266 | 0.240724 | ||||||||
\(426\) | −10.4475 | −0.506182 | ||||||||
\(427\) | − | 12.6537i | − | 0.612355i | ||||||
\(428\) | 27.3607 | 1.32253 | ||||||||
\(429\) | −16.4391 | + | 12.3896i | −0.793686 | + | 0.598177i | ||||
\(430\) | −17.3607 | −0.837207 | ||||||||
\(431\) | − | 16.2329i | − | 0.781910i | −0.920410 | − | 0.390955i | \(-0.872145\pi\) | ||
0.920410 | − | 0.390955i | \(-0.127855\pi\) | |||||||
\(432\) | −2.07838 | −0.0999960 | ||||||||
\(433\) | −5.38735 | −0.258900 | −0.129450 | − | 0.991586i | \(-0.541321\pi\) | ||||
−0.129450 | + | 0.991586i | \(0.541321\pi\) | |||||||
\(434\) | − | 13.3607i | − | 0.641334i | ||||||
\(435\) | 4.21461i | 0.202075i | ||||||||
\(436\) | − | 48.6102i | − | 2.32801i | ||||||
\(437\) | 40.1978i | 1.92292i | ||||||||
\(438\) | −8.28231 | −0.395744 | ||||||||
\(439\) | −10.2413 | −0.488789 | −0.244395 | − | 0.969676i | \(-0.578589\pi\) | ||||
−0.244395 | + | 0.969676i | \(0.578589\pi\) | |||||||
\(440\) | 5.54411i | 0.264305i | ||||||||
\(441\) | −1.00000 | −0.0476190 | ||||||||
\(442\) | −6.73820 | + | 5.07838i | −0.320504 | + | 0.241554i | ||||
\(443\) | 15.9421 | 0.757434 | 0.378717 | − | 0.925513i | \(-0.376365\pi\) | ||||
0.378717 | + | 0.925513i | \(0.376365\pi\) | |||||||
\(444\) | − | 9.26180i | − | 0.439545i | ||||||
\(445\) | −3.91548 | −0.185612 | ||||||||
\(446\) | 49.0928 | 2.32461 | ||||||||
\(447\) | 1.46800i | 0.0694340i | ||||||||
\(448\) | − | 12.3112i | − | 0.581652i | ||||||
\(449\) | − | 13.2001i | − | 0.622949i | −0.950254 | − | 0.311475i | \(-0.899177\pi\) | ||
0.950254 | − | 0.311475i | \(-0.100823\pi\) | |||||||
\(450\) | − | 9.98667i | − | 0.470776i | ||||||
\(451\) | 6.92162 | 0.325926 | ||||||||
\(452\) | −28.9360 | −1.36103 | ||||||||
\(453\) | − | 13.3607i | − | 0.627740i | ||||||
\(454\) | −49.7914 | −2.33682 | ||||||||
\(455\) | −1.36910 | − | 1.81658i | −0.0641845 | − | 0.0851627i | ||||
\(456\) | −11.4186 | −0.534723 | ||||||||
\(457\) | 18.3090i | 0.856458i | 0.903670 | + | 0.428229i | \(0.140862\pi\) | ||||
−0.903670 | + | 0.428229i | \(0.859138\pi\) | |||||||
\(458\) | 46.7526 | 2.18460 | ||||||||
\(459\) | 1.07838 | 0.0503344 | ||||||||
\(460\) | − | 9.26180i | − | 0.431833i | ||||||
\(461\) | − | 18.9399i | − | 0.882118i | −0.897478 | − | 0.441059i | \(-0.854603\pi\) | ||
0.897478 | − | 0.441059i | \(-0.145397\pi\) | |||||||
\(462\) | 12.3896i | 0.576417i | ||||||||
\(463\) | − | 1.74435i | − | 0.0810667i | −0.999178 | − | 0.0405334i | \(-0.987094\pi\) | ||
0.999178 | − | 0.0405334i | \(-0.0129057\pi\) | |||||||
\(464\) | −13.8843 | −0.644562 | ||||||||
\(465\) | −3.88428 | −0.180129 | ||||||||
\(466\) | − | 15.9733i | − | 0.739951i | ||||||
\(467\) | −18.1568 | −0.840194 | −0.420097 | − | 0.907479i | \(-0.638004\pi\) | ||||
−0.420097 | + | 0.907479i | \(0.638004\pi\) | |||||||
\(468\) | 5.87936 | + | 7.80098i | 0.271774 | + | 0.360601i | ||||
\(469\) | 0.581449 | 0.0268488 | ||||||||
\(470\) | 8.28231i | 0.382035i | ||||||||
\(471\) | −8.15676 | −0.375843 | ||||||||
\(472\) | 2.10731 | 0.0969967 | ||||||||
\(473\) | 72.3956i | 3.32875i | ||||||||
\(474\) | 3.60197i | 0.165444i | ||||||||
\(475\) | 34.1399i | 1.56645i | ||||||||
\(476\) | 2.92162i | 0.133912i | ||||||||
\(477\) | −6.00000 | −0.274721 | ||||||||
\(478\) | 33.7503 | 1.54370 | ||||||||
\(479\) | 30.4619i | 1.39184i | 0.718120 | + | 0.695919i | \(0.245003\pi\) | ||||
−0.718120 | + | 0.695919i | \(0.754997\pi\) | |||||||
\(480\) | −4.78765 | −0.218525 | ||||||||
\(481\) | 9.84324 | − | 7.41855i | 0.448813 | − | 0.338257i | ||||
\(482\) | 15.9155 | 0.724930 | ||||||||
\(483\) | − | 5.41855i | − | 0.246553i | ||||||
\(484\) | 58.5090 | 2.65950 | ||||||||
\(485\) | 0.680346 | 0.0308929 | ||||||||
\(486\) | − | 2.17009i | − | 0.0984371i | ||||||
\(487\) | − | 0.313511i | − | 0.0142065i | −0.999975 | − | 0.00710327i | \(-0.997739\pi\) | ||
0.999975 | − | 0.00710327i | \(-0.00226106\pi\) | |||||||
\(488\) | 19.4764i | 0.881656i | ||||||||
\(489\) | − | 4.58145i | − | 0.207180i | ||||||
\(490\) | −1.36910 | −0.0618497 | ||||||||
\(491\) | −8.93600 | −0.403276 | −0.201638 | − | 0.979460i | \(-0.564626\pi\) | ||||
−0.201638 | + | 0.979460i | \(0.564626\pi\) | |||||||
\(492\) | − | 3.28458i | − | 0.148080i | ||||||
\(493\) | 7.20394 | 0.324449 | ||||||||
\(494\) | −34.9360 | − | 46.3545i | −1.57184 | − | 2.08559i | ||||
\(495\) | 3.60197 | 0.161896 | ||||||||
\(496\) | − | 12.7961i | − | 0.574560i | ||||||
\(497\) | −4.81432 | −0.215952 | ||||||||
\(498\) | −27.9649 | −1.25314 | ||||||||
\(499\) | 33.9877i | 1.52150i | 0.649046 | + | 0.760750i | \(0.275168\pi\) | ||||
−0.649046 | + | 0.760750i | \(0.724832\pi\) | |||||||
\(500\) | − | 16.4124i | − | 0.733985i | ||||||
\(501\) | − | 7.31124i | − | 0.326642i | ||||||
\(502\) | 29.6742i | 1.32442i | ||||||||
\(503\) | 33.5585 | 1.49630 | 0.748149 | − | 0.663530i | \(-0.230943\pi\) | ||||
0.748149 | + | 0.663530i | \(0.230943\pi\) | |||||||
\(504\) | 1.53919 | 0.0685609 | ||||||||
\(505\) | − | 4.56463i | − | 0.203123i | ||||||
\(506\) | −67.1338 | −2.98446 | ||||||||
\(507\) | −3.58145 | + | 12.4969i | −0.159058 | + | 0.555008i | ||||
\(508\) | −17.1773 | −0.762118 | ||||||||
\(509\) | 24.8287i | 1.10051i | 0.834996 | + | 0.550256i | \(0.185470\pi\) | ||||
−0.834996 | + | 0.550256i | \(0.814530\pi\) | |||||||
\(510\) | 1.47641 | 0.0653765 | ||||||||
\(511\) | −3.81658 | −0.168836 | ||||||||
\(512\) | − | 22.1701i | − | 0.979789i | ||||||
\(513\) | 7.41855i | 0.327537i | ||||||||
\(514\) | 56.6947i | 2.50070i | ||||||||
\(515\) | 8.68035i | 0.382502i | ||||||||
\(516\) | 34.3545 | 1.51237 | ||||||||
\(517\) | 34.5380 | 1.51898 | ||||||||
\(518\) | − | 7.41855i | − | 0.325952i | ||||||
\(519\) | 7.60197 | 0.333689 | ||||||||
\(520\) | 2.10731 | + | 2.79606i | 0.0924115 | + | 0.122616i | ||||
\(521\) | 20.2290 | 0.886248 | 0.443124 | − | 0.896460i | \(-0.353870\pi\) | ||||
0.443124 | + | 0.896460i | \(0.353870\pi\) | |||||||
\(522\) | − | 14.4969i | − | 0.634513i | ||||||
\(523\) | −40.1666 | −1.75636 | −0.878181 | − | 0.478328i | \(-0.841243\pi\) | ||||
−0.878181 | + | 0.478328i | \(0.841243\pi\) | |||||||
\(524\) | 20.3668 | 0.889729 | ||||||||
\(525\) | − | 4.60197i | − | 0.200846i | ||||||
\(526\) | 66.7936i | 2.91234i | ||||||||
\(527\) | 6.63931i | 0.289213i | ||||||||
\(528\) | 11.8660i | 0.516403i | ||||||||
\(529\) | 6.36069 | 0.276552 | ||||||||
\(530\) | −8.21461 | −0.356820 | ||||||||
\(531\) | − | 1.36910i | − | 0.0594140i | ||||||
\(532\) | −20.0989 | −0.871398 | ||||||||
\(533\) | 3.49079 | − | 2.63090i | 0.151203 | − | 0.113957i | ||||
\(534\) | 13.4680 | 0.582817 | ||||||||
\(535\) | − | 6.37137i | − | 0.275458i | ||||||
\(536\) | −0.894960 | −0.0386564 | ||||||||
\(537\) | 9.10504 | 0.392911 | ||||||||
\(538\) | − | 11.7009i | − | 0.504460i | ||||||
\(539\) | 5.70928i | 0.245916i | ||||||||
\(540\) | − | 1.70928i | − | 0.0735555i | ||||||
\(541\) | − | 18.2101i | − | 0.782912i | −0.920197 | − | 0.391456i | \(-0.871971\pi\) | ||
0.920197 | − | 0.391456i | \(-0.128029\pi\) | |||||||
\(542\) | 24.7792 | 1.06436 | ||||||||
\(543\) | 15.3607 | 0.659190 | ||||||||
\(544\) | 8.18342i | 0.350861i | ||||||||
\(545\) | −11.3197 | −0.484881 | ||||||||
\(546\) | 4.70928 | + | 6.24846i | 0.201538 | + | 0.267410i | ||||
\(547\) | −6.32580 | −0.270472 | −0.135236 | − | 0.990813i | \(-0.543179\pi\) | ||||
−0.135236 | + | 0.990813i | \(0.543179\pi\) | |||||||
\(548\) | 12.1217i | 0.517813i | ||||||||
\(549\) | 12.6537 | 0.540046 | ||||||||
\(550\) | −57.0166 | −2.43120 | ||||||||
\(551\) | 49.5585i | 2.11126i | ||||||||
\(552\) | 8.34017i | 0.354981i | ||||||||
\(553\) | 1.65983i | 0.0705830i | ||||||||
\(554\) | − | 28.5380i | − | 1.21246i | ||||||
\(555\) | −2.15676 | −0.0915492 | ||||||||
\(556\) | 26.4391 | 1.12127 | ||||||||
\(557\) | − | 10.6309i | − | 0.450446i | −0.974307 | − | 0.225223i | \(-0.927689\pi\) | ||
0.974307 | − | 0.225223i | \(-0.0723110\pi\) | |||||||
\(558\) | 13.3607 | 0.565603 | ||||||||
\(559\) | 27.5174 | + | 36.5113i | 1.16386 | + | 1.54426i | ||||
\(560\) | −1.31124 | −0.0554102 | ||||||||
\(561\) | − | 6.15676i | − | 0.259938i | ||||||
\(562\) | −4.66209 | −0.196659 | ||||||||
\(563\) | −37.0472 | −1.56135 | −0.780676 | − | 0.624936i | \(-0.785125\pi\) | ||||
−0.780676 | + | 0.624936i | \(0.785125\pi\) | |||||||
\(564\) | − | 16.3896i | − | 0.690128i | ||||||
\(565\) | 6.73820i | 0.283478i | ||||||||
\(566\) | 26.4703i | 1.11263i | ||||||||
\(567\) | − | 1.00000i | − | 0.0419961i | ||||||
\(568\) | 7.41014 | 0.310923 | ||||||||
\(569\) | 25.7152 | 1.07804 | 0.539019 | − | 0.842293i | \(-0.318795\pi\) | ||||
0.539019 | + | 0.842293i | \(0.318795\pi\) | |||||||
\(570\) | 10.1568i | 0.425420i | ||||||||
\(571\) | −12.4969 | −0.522980 | −0.261490 | − | 0.965206i | \(-0.584214\pi\) | ||||
−0.261490 | + | 0.965206i | \(0.584214\pi\) | |||||||
\(572\) | 44.5380 | − | 33.5669i | 1.86223 | − | 1.40350i | ||||
\(573\) | −24.5692 | −1.02639 | ||||||||
\(574\) | − | 2.63090i | − | 0.109812i | ||||||
\(575\) | 24.9360 | 1.03990 | ||||||||
\(576\) | 12.3112 | 0.512968 | ||||||||
\(577\) | − | 3.91548i | − | 0.163004i | −0.996673 | − | 0.0815018i | \(-0.974028\pi\) | ||
0.996673 | − | 0.0815018i | \(-0.0259716\pi\) | |||||||
\(578\) | 34.3679i | 1.42952i | ||||||||
\(579\) | − | 13.5753i | − | 0.564170i | ||||||
\(580\) | − | 11.4186i | − | 0.474130i | ||||||
\(581\) | −12.8865 | −0.534624 | ||||||||
\(582\) | −2.34017 | −0.0970033 | ||||||||
\(583\) | 34.2557i | 1.41872i | ||||||||
\(584\) | 5.87444 | 0.243086 | ||||||||
\(585\) | 1.81658 | − | 1.36910i | 0.0751064 | − | 0.0566054i | ||||
\(586\) | 15.5259 | 0.641367 | ||||||||
\(587\) | 6.94441i | 0.286626i | 0.989677 | + | 0.143313i | \(0.0457756\pi\) | ||||
−0.989677 | + | 0.143313i | \(0.954224\pi\) | |||||||
\(588\) | 2.70928 | 0.111729 | ||||||||
\(589\) | −45.6742 | −1.88197 | ||||||||
\(590\) | − | 1.87444i | − | 0.0771695i | ||||||
\(591\) | − | 2.94441i | − | 0.121117i | ||||||
\(592\) | − | 7.10504i | − | 0.292015i | ||||||
\(593\) | − | 29.9383i | − | 1.22942i | −0.788754 | − | 0.614709i | \(-0.789274\pi\) | ||
0.788754 | − | 0.614709i | \(-0.210726\pi\) | |||||||
\(594\) | −12.3896 | −0.508352 | ||||||||
\(595\) | 0.680346 | 0.0278915 | ||||||||
\(596\) | − | 3.97721i | − | 0.162913i | ||||||
\(597\) | −10.5236 | −0.430702 | ||||||||
\(598\) | −33.8576 | + | 25.5174i | −1.38454 | + | 1.04349i | ||||
\(599\) | 43.2905 | 1.76880 | 0.884402 | − | 0.466726i | \(-0.154567\pi\) | ||||
0.884402 | + | 0.466726i | \(0.154567\pi\) | |||||||
\(600\) | 7.08330i | 0.289174i | ||||||||
\(601\) | −31.2306 | −1.27392 | −0.636961 | − | 0.770896i | \(-0.719809\pi\) | ||||
−0.636961 | + | 0.770896i | \(0.719809\pi\) | |||||||
\(602\) | 27.5174 | 1.12153 | ||||||||
\(603\) | 0.581449i | 0.0236784i | ||||||||
\(604\) | 36.1978i | 1.47287i | ||||||||
\(605\) | − | 13.6248i | − | 0.553925i | ||||||
\(606\) | 15.7009i | 0.637804i | ||||||||
\(607\) | 4.96266 | 0.201428 | 0.100714 | − | 0.994915i | \(-0.467887\pi\) | ||||
0.100714 | + | 0.994915i | \(0.467887\pi\) | |||||||
\(608\) | −56.2967 | −2.28313 | ||||||||
\(609\) | − | 6.68035i | − | 0.270701i | ||||||
\(610\) | 17.3242 | 0.701436 | ||||||||
\(611\) | 17.4186 | − | 13.1278i | 0.704679 | − | 0.531095i | ||||
\(612\) | −2.92162 | −0.118100 | ||||||||
\(613\) | − | 0.366835i | − | 0.0148163i | −0.999973 | − | 0.00740816i | \(-0.997642\pi\) | ||
0.999973 | − | 0.00740816i | \(-0.00235811\pi\) | |||||||
\(614\) | −47.4017 | −1.91298 | ||||||||
\(615\) | −0.764867 | −0.0308424 | ||||||||
\(616\) | − | 8.78765i | − | 0.354065i | ||||||
\(617\) | − | 47.7237i | − | 1.92128i | −0.277793 | − | 0.960641i | \(-0.589603\pi\) | ||
0.277793 | − | 0.960641i | \(-0.410397\pi\) | |||||||
\(618\) | − | 29.8576i | − | 1.20105i | ||||||
\(619\) | − | 19.7854i | − | 0.795242i | −0.917550 | − | 0.397621i | \(-0.869836\pi\) | ||
0.917550 | − | 0.397621i | \(-0.130164\pi\) | |||||||
\(620\) | 10.5236 | 0.422638 | ||||||||
\(621\) | 5.41855 | 0.217439 | ||||||||
\(622\) | 16.3135i | 0.654112i | ||||||||
\(623\) | 6.20620 | 0.248646 | ||||||||
\(624\) | 4.51026 | + | 5.98440i | 0.180555 | + | 0.239568i | ||||
\(625\) | 19.1880 | 0.767518 | ||||||||
\(626\) | − | 55.7731i | − | 2.22914i | ||||||
\(627\) | 42.3545 | 1.69148 | ||||||||
\(628\) | 22.0989 | 0.881842 | ||||||||
\(629\) | 3.68649i | 0.146990i | ||||||||
\(630\) | − | 1.36910i | − | 0.0545463i | ||||||
\(631\) | 20.1522i | 0.802247i | 0.916024 | + | 0.401124i | \(0.131380\pi\) | ||||
−0.916024 | + | 0.401124i | \(0.868620\pi\) | |||||||
\(632\) | − | 2.55479i | − | 0.101624i | ||||||
\(633\) | −3.02052 | −0.120055 | ||||||||
\(634\) | 20.3318 | 0.807477 | ||||||||
\(635\) | 4.00000i | 0.158735i | ||||||||
\(636\) | 16.2557 | 0.644579 | ||||||||
\(637\) | 2.17009 | + | 2.87936i | 0.0859820 | + | 0.114084i | ||||
\(638\) | −82.7670 | −3.27678 | ||||||||
\(639\) | − | 4.81432i | − | 0.190451i | ||||||
\(640\) | 7.28005 | 0.287769 | ||||||||
\(641\) | −12.1034 | −0.478057 | −0.239028 | − | 0.971013i | \(-0.576829\pi\) | ||||
−0.239028 | + | 0.971013i | \(0.576829\pi\) | |||||||
\(642\) | 21.9155i | 0.864935i | ||||||||
\(643\) | 20.6803i | 0.815553i | 0.913082 | + | 0.407777i | \(0.133696\pi\) | ||||
−0.913082 | + | 0.407777i | \(0.866304\pi\) | |||||||
\(644\) | 14.6803i | 0.578487i | ||||||||
\(645\) | − | 8.00000i | − | 0.315000i | ||||||
\(646\) | 17.3607 | 0.683047 | ||||||||
\(647\) | 40.8781 | 1.60709 | 0.803543 | − | 0.595247i | \(-0.202946\pi\) | ||||
0.803543 | + | 0.595247i | \(0.202946\pi\) | |||||||
\(648\) | 1.53919i | 0.0604650i | ||||||||
\(649\) | −7.81658 | −0.306828 | ||||||||
\(650\) | −28.7552 | + | 21.6719i | −1.12787 | + | 0.850043i | ||||
\(651\) | 6.15676 | 0.241302 | ||||||||
\(652\) | 12.4124i | 0.486107i | ||||||||
\(653\) | 6.31351 | 0.247067 | 0.123533 | − | 0.992340i | \(-0.460577\pi\) | ||||
0.123533 | + | 0.992340i | \(0.460577\pi\) | |||||||
\(654\) | 38.9360 | 1.52252 | ||||||||
\(655\) | − | 4.74274i | − | 0.185314i | ||||||
\(656\) | − | 2.51971i | − | 0.0983783i | ||||||
\(657\) | − | 3.81658i | − | 0.148899i | ||||||
\(658\) | − | 13.1278i | − | 0.511776i | ||||||
\(659\) | −20.9360 | −0.815551 | −0.407775 | − | 0.913082i | \(-0.633695\pi\) | ||||
−0.407775 | + | 0.913082i | \(0.633695\pi\) | |||||||
\(660\) | −9.75872 | −0.379858 | ||||||||
\(661\) | 22.2245i | 0.864431i | 0.901770 | + | 0.432216i | \(0.142268\pi\) | ||||
−0.901770 | + | 0.432216i | \(0.857732\pi\) | |||||||
\(662\) | 45.6742 | 1.77518 | ||||||||
\(663\) | −2.34017 | − | 3.10504i | −0.0908848 | − | 0.120590i | ||||
\(664\) | 19.8348 | 0.769741 | ||||||||
\(665\) | 4.68035i | 0.181496i | ||||||||
\(666\) | 7.41855 | 0.287463 | ||||||||
\(667\) | 36.1978 | 1.40158 | ||||||||
\(668\) | 19.8082i | 0.766401i | ||||||||
\(669\) | 22.6225i | 0.874636i | ||||||||
\(670\) | 0.796064i | 0.0307546i | ||||||||
\(671\) | − | 72.2434i | − | 2.78892i | ||||||
\(672\) | 7.58864 | 0.292738 | ||||||||
\(673\) | −1.15061 | −0.0443528 | −0.0221764 | − | 0.999754i | \(-0.507060\pi\) | ||||
−0.0221764 | + | 0.999754i | \(0.507060\pi\) | |||||||
\(674\) | − | 33.5174i | − | 1.29104i | ||||||
\(675\) | 4.60197 | 0.177130 | ||||||||
\(676\) | 9.70313 | − | 33.8576i | 0.373197 | − | 1.30222i | ||||
\(677\) | −33.5897 | −1.29096 | −0.645478 | − | 0.763779i | \(-0.723342\pi\) | ||||
−0.645478 | + | 0.763779i | \(0.723342\pi\) | |||||||
\(678\) | − | 23.1773i | − | 0.890118i | ||||||
\(679\) | −1.07838 | −0.0413843 | ||||||||
\(680\) | −1.04718 | −0.0401576 | ||||||||
\(681\) | − | 22.9444i | − | 0.879232i | ||||||
\(682\) | − | 76.2799i | − | 2.92091i | ||||||
\(683\) | − | 25.1110i | − | 0.960846i | −0.877037 | − | 0.480423i | \(-0.840483\pi\) | ||
0.877037 | − | 0.480423i | \(-0.159517\pi\) | |||||||
\(684\) | − | 20.0989i | − | 0.768501i | ||||||
\(685\) | 2.82273 | 0.107851 | ||||||||
\(686\) | 2.17009 | 0.0828543 | ||||||||
\(687\) | 21.5441i | 0.821959i | ||||||||
\(688\) | 26.3545 | 1.00476 | ||||||||
\(689\) | 13.0205 | + | 17.2762i | 0.496042 | + | 0.658170i | ||||
\(690\) | 7.41855 | 0.282419 | ||||||||
\(691\) | − | 6.30898i | − | 0.240005i | −0.992774 | − | 0.120002i | \(-0.961710\pi\) | ||
0.992774 | − | 0.120002i | \(-0.0382902\pi\) | |||||||
\(692\) | −20.5958 | −0.782936 | ||||||||
\(693\) | −5.70928 | −0.216877 | ||||||||
\(694\) | − | 47.1605i | − | 1.79019i | ||||||
\(695\) | − | 6.15676i | − | 0.233539i | ||||||
\(696\) | 10.2823i | 0.389750i | ||||||||
\(697\) | 1.30737i | 0.0495201i | ||||||||
\(698\) | −12.2823 | −0.464892 | ||||||||
\(699\) | 7.36069 | 0.278407 | ||||||||
\(700\) | 12.4680i | 0.471246i | ||||||||
\(701\) | 45.8843 | 1.73303 | 0.866513 | − | 0.499155i | \(-0.166356\pi\) | ||||
0.866513 | + | 0.499155i | \(0.166356\pi\) | |||||||
\(702\) | −6.24846 | + | 4.70928i | −0.235833 | + | 0.177740i | ||||
\(703\) | −25.3607 | −0.956497 | ||||||||
\(704\) | − | 70.2883i | − | 2.64909i | ||||||
\(705\) | −3.81658 | −0.143741 | ||||||||
\(706\) | 73.1832 | 2.75429 | ||||||||
\(707\) | 7.23513i | 0.272105i | ||||||||
\(708\) | 3.70928i | 0.139403i | ||||||||
\(709\) | 46.4534i | 1.74460i | 0.488975 | + | 0.872298i | \(0.337371\pi\) | ||||
−0.488975 | + | 0.872298i | \(0.662629\pi\) | |||||||
\(710\) | − | 6.59129i | − | 0.247367i | ||||||
\(711\) | −1.65983 | −0.0622484 | ||||||||
\(712\) | −9.55252 | −0.357996 | ||||||||
\(713\) | 33.3607i | 1.24937i | ||||||||
\(714\) | −2.34017 | −0.0875788 | ||||||||
\(715\) | −7.81658 | − | 10.3714i | −0.292324 | − | 0.387867i | ||||
\(716\) | −24.6681 | −0.921889 | ||||||||
\(717\) | 15.5525i | 0.580819i | ||||||||
\(718\) | −40.5874 | −1.51471 | ||||||||
\(719\) | −7.20394 | −0.268661 | −0.134331 | − | 0.990937i | \(-0.542888\pi\) | ||||
−0.134331 | + | 0.990937i | \(0.542888\pi\) | |||||||
\(720\) | − | 1.31124i | − | 0.0488672i | ||||||
\(721\) | − | 13.7587i | − | 0.512402i | ||||||
\(722\) | 78.1988i | 2.91026i | ||||||||
\(723\) | 7.33403i | 0.272756i | ||||||||
\(724\) | −41.6163 | −1.54666 | ||||||||
\(725\) | 30.7427 | 1.14176 | ||||||||
\(726\) | 46.8648i | 1.73932i | ||||||||
\(727\) | 13.6742 | 0.507148 | 0.253574 | − | 0.967316i | \(-0.418394\pi\) | ||||
0.253574 | + | 0.967316i | \(0.418394\pi\) | |||||||
\(728\) | −3.34017 | − | 4.43188i | −0.123795 | − | 0.164256i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | − | 5.22529i | − | 0.193397i | ||||||
\(731\) | −13.6742 | −0.505759 | ||||||||
\(732\) | −34.2823 | −1.26711 | ||||||||
\(733\) | − | 7.70086i | − | 0.284438i | −0.989835 | − | 0.142219i | \(-0.954576\pi\) | ||
0.989835 | − | 0.142219i | \(-0.0454237\pi\) | |||||||
\(734\) | − | 21.8576i | − | 0.806779i | ||||||
\(735\) | − | 0.630898i | − | 0.0232710i | ||||||
\(736\) | 41.1194i | 1.51568i | ||||||||
\(737\) | 3.31965 | 0.122281 | ||||||||
\(738\) | 2.63090 | 0.0968447 | ||||||||
\(739\) | 24.5814i | 0.904243i | 0.891956 | + | 0.452122i | \(0.149333\pi\) | ||||
−0.891956 | + | 0.452122i | \(0.850667\pi\) | |||||||
\(740\) | 5.84324 | 0.214802 | ||||||||
\(741\) | 21.3607 | − | 16.0989i | 0.784705 | − | 0.591408i | ||||
\(742\) | 13.0205 | 0.477998 | ||||||||
\(743\) | 24.3773i | 0.894318i | 0.894455 | + | 0.447159i | \(0.147564\pi\) | ||||
−0.894455 | + | 0.447159i | \(0.852436\pi\) | |||||||
\(744\) | −9.47641 | −0.347422 | ||||||||
\(745\) | −0.926157 | −0.0339318 | ||||||||
\(746\) | − | 9.20394i | − | 0.336980i | ||||||
\(747\) | − | 12.8865i | − | 0.471494i | ||||||
\(748\) | 16.6803i | 0.609894i | ||||||||
\(749\) | 10.0989i | 0.369006i | ||||||||
\(750\) | 13.1461 | 0.480027 | ||||||||
\(751\) | −24.6803 | −0.900599 | −0.450299 | − | 0.892878i | \(-0.648683\pi\) | ||||
−0.450299 | + | 0.892878i | \(0.648683\pi\) | |||||||
\(752\) | − | 12.5730i | − | 0.458492i | ||||||
\(753\) | −13.6742 | −0.498316 | ||||||||
\(754\) | −41.7419 | + | 31.4596i | −1.52015 | + | 1.14569i | ||||
\(755\) | 8.42923 | 0.306771 | ||||||||
\(756\) | 2.70928i | 0.0985354i | ||||||||
\(757\) | −41.3172 | −1.50170 | −0.750850 | − | 0.660473i | \(-0.770356\pi\) | ||||
−0.750850 | + | 0.660473i | \(0.770356\pi\) | |||||||
\(758\) | −43.8310 | −1.59201 | ||||||||
\(759\) | − | 30.9360i | − | 1.12291i | ||||||
\(760\) | − | 7.20394i | − | 0.261314i | ||||||
\(761\) | 15.9506i | 0.578207i | 0.957298 | + | 0.289104i | \(0.0933572\pi\) | ||||
−0.957298 | + | 0.289104i | \(0.906643\pi\) | |||||||
\(762\) | − | 13.7587i | − | 0.498426i | ||||||
\(763\) | 17.9421 | 0.649549 | ||||||||
\(764\) | 66.5646 | 2.40822 | ||||||||
\(765\) | 0.680346i | 0.0245980i | ||||||||
\(766\) | 15.2846 | 0.552254 | ||||||||
\(767\) | −3.94214 | + | 2.97107i | −0.142342 | + | 0.107279i | ||||
\(768\) | −0.418551 | −0.0151031 | ||||||||
\(769\) | − | 6.22446i | − | 0.224460i | −0.993682 | − | 0.112230i | \(-0.964201\pi\) | ||
0.993682 | − | 0.112230i | \(-0.0357993\pi\) | |||||||
\(770\) | −7.81658 | −0.281690 | ||||||||
\(771\) | −26.1256 | −0.940889 | ||||||||
\(772\) | 36.7792i | 1.32371i | ||||||||
\(773\) | − | 39.1545i | − | 1.40829i | −0.710057 | − | 0.704145i | \(-0.751331\pi\) | ||
0.710057 | − | 0.704145i | \(-0.248669\pi\) | |||||||
\(774\) | 27.5174i | 0.989094i | ||||||||
\(775\) | 28.3332i | 1.01776i | ||||||||
\(776\) | 1.65983 | 0.0595843 | ||||||||
\(777\) | 3.41855 | 0.122640 | ||||||||
\(778\) | 8.34017i | 0.299010i | ||||||||
\(779\) | −8.99386 | −0.322238 | ||||||||
\(780\) | −4.92162 | + | 3.70928i | −0.176222 | + | 0.132813i | ||||
\(781\) | −27.4863 | −0.983535 | ||||||||
\(782\) | − | 12.6803i | − | 0.453448i | ||||||
\(783\) | 6.68035 | 0.238736 | ||||||||
\(784\) | 2.07838 | 0.0742278 | ||||||||
\(785\) | − | 5.14608i | − | 0.183671i | ||||||
\(786\) | 16.3135i | 0.581884i |