Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(44,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 4, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.44");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cd (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 86.1 | ||
Root | \(0.965926 - 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 273.86 |
Dual form | 273.2.cd.d.200.1 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | −0.995047 | − | 0.0994033i | \(-0.968307\pi\) |
0.812035 | − | 0.583609i | \(-0.198360\pi\) | |||||||
\(3\) | 1.62484 | − | 0.599900i | 0.938104 | − | 0.346353i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 0.151613 | + | 0.565826i | 0.0678033 | + | 0.253045i | 0.991505 | − | 0.130067i | \(-0.0415191\pi\) |
−0.923702 | + | 0.383112i | \(0.874852\pi\) | |||||||
\(6\) | −1.00000 | − | 1.41421i | −0.408248 | − | 0.577350i | ||||
\(7\) | −1.15539 | + | 2.38014i | −0.436698 | + | 0.899608i | ||||
\(8\) | −2.12132 | − | 2.12132i | −0.750000 | − | 0.750000i | ||||
\(9\) | 2.28024 | − | 1.94949i | 0.760080 | − | 0.649830i | ||||
\(10\) | 0.507306 | − | 0.292893i | 0.160424 | − | 0.0926210i | ||||
\(11\) | 1.50851 | − | 5.62983i | 0.454832 | − | 1.69746i | −0.233748 | − | 0.972297i | \(-0.575099\pi\) |
0.688580 | − | 0.725160i | \(-0.258234\pi\) | |||||||
\(12\) | 1.10721 | − | 1.33195i | 0.319623 | − | 0.384501i | ||||
\(13\) | 2.00000 | + | 3.00000i | 0.554700 | + | 0.832050i | ||||
\(14\) | 2.59808 | + | 0.500000i | 0.694365 | + | 0.133631i | ||||
\(15\) | 0.585786 | + | 0.828427i | 0.151249 | + | 0.213899i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 0.914214 | + | 1.58346i | 0.221729 | + | 0.384047i | 0.955333 | − | 0.295531i | \(-0.0954965\pi\) |
−0.733604 | + | 0.679577i | \(0.762163\pi\) | |||||||
\(18\) | −2.47323 | − | 1.69798i | −0.582946 | − | 0.400217i | ||||
\(19\) | −6.43003 | + | 1.72292i | −1.47515 | + | 0.395265i | −0.904693 | − | 0.426063i | \(-0.859900\pi\) |
−0.570456 | + | 0.821328i | \(0.693233\pi\) | |||||||
\(20\) | 0.414214 | + | 0.414214i | 0.0926210 | + | 0.0926210i | ||||
\(21\) | −0.449490 | + | 4.56048i | −0.0980867 | + | 0.995178i | ||||
\(22\) | −5.82843 | −1.24262 | ||||||||
\(23\) | −3.29289 | + | 5.70346i | −0.686616 | + | 1.18925i | 0.286310 | + | 0.958137i | \(0.407571\pi\) |
−0.972926 | + | 0.231116i | \(0.925762\pi\) | |||||||
\(24\) | −4.71940 | − | 2.17423i | −0.963343 | − | 0.443814i | ||||
\(25\) | 4.03295 | − | 2.32843i | 0.806591 | − | 0.465685i | ||||
\(26\) | 2.38014 | − | 2.70831i | 0.466784 | − | 0.531143i | ||||
\(27\) | 2.53553 | − | 4.53553i | 0.487964 | − | 0.872864i | ||||
\(28\) | 0.189469 | + | 2.63896i | 0.0358062 | + | 0.498716i | ||||
\(29\) | − | 1.00000i | − | 0.185695i | −0.995680 | − | 0.0928477i | \(-0.970403\pi\) | ||
0.995680 | − | 0.0928477i | \(-0.0295970\pi\) | |||||||
\(30\) | 0.648586 | − | 0.780239i | 0.118415 | − | 0.142451i | ||||
\(31\) | 0.214413 | − | 0.800199i | 0.0385097 | − | 0.143720i | −0.943994 | − | 0.329962i | \(-0.892964\pi\) |
0.982504 | + | 0.186242i | \(0.0596308\pi\) | |||||||
\(32\) | −4.82963 | − | 1.29410i | −0.853766 | − | 0.228766i | ||||
\(33\) | −0.926246 | − | 10.0525i | −0.161239 | − | 1.74992i | ||||
\(34\) | 1.29289 | − | 1.29289i | 0.221729 | − | 0.221729i | ||||
\(35\) | −1.52192 | − | 0.292893i | −0.257251 | − | 0.0495080i | ||||
\(36\) | 1.00000 | − | 2.82843i | 0.166667 | − | 0.471405i | ||||
\(37\) | 1.03528 | + | 3.86370i | 0.170198 | + | 0.635189i | 0.997320 | + | 0.0731657i | \(0.0233102\pi\) |
−0.827121 | + | 0.562023i | \(0.810023\pi\) | |||||||
\(38\) | 3.32843 | + | 5.76500i | 0.539942 | + | 0.935207i | ||||
\(39\) | 5.04939 | + | 3.67473i | 0.808550 | + | 0.588428i | ||||
\(40\) | 0.878680 | − | 1.52192i | 0.138931 | − | 0.240636i | ||||
\(41\) | −4.00000 | + | 4.00000i | −0.624695 | + | 0.624695i | −0.946728 | − | 0.322033i | \(-0.895634\pi\) |
0.322033 | + | 0.946728i | \(0.395634\pi\) | |||||||
\(42\) | 4.52142 | − | 0.746165i | 0.697670 | − | 0.115136i | ||||
\(43\) | 6.00000i | 0.914991i | 0.889212 | + | 0.457496i | \(0.151253\pi\) | ||||
−0.889212 | + | 0.457496i | \(0.848747\pi\) | |||||||
\(44\) | −1.50851 | − | 5.62983i | −0.227416 | − | 0.848729i | ||||
\(45\) | 1.44879 | + | 0.994652i | 0.215972 | + | 0.148274i | ||||
\(46\) | 6.36138 | + | 1.70453i | 0.937934 | + | 0.251319i | ||||
\(47\) | 0.634472 | − | 0.170006i | 0.0925473 | − | 0.0247980i | −0.212248 | − | 0.977216i | \(-0.568079\pi\) |
0.304796 | + | 0.952418i | \(0.401412\pi\) | |||||||
\(48\) | −0.292893 | + | 1.70711i | −0.0422755 | + | 0.246400i | ||||
\(49\) | −4.33013 | − | 5.50000i | −0.618590 | − | 0.785714i | ||||
\(50\) | −3.29289 | − | 3.29289i | −0.465685 | − | 0.465685i | ||||
\(51\) | 2.43538 | + | 2.02445i | 0.341021 | + | 0.283479i | ||||
\(52\) | 3.23205 | + | 1.59808i | 0.448205 | + | 0.221613i | ||||
\(53\) | −7.49706 | + | 4.32843i | −1.02980 | + | 0.594555i | −0.916927 | − | 0.399054i | \(-0.869338\pi\) |
−0.112872 | + | 0.993609i | \(0.536005\pi\) | |||||||
\(54\) | −5.03723 | − | 1.27526i | −0.685481 | − | 0.173540i | ||||
\(55\) | 3.41421 | 0.460372 | ||||||||
\(56\) | 7.50000 | − | 2.59808i | 1.00223 | − | 0.347183i | ||||
\(57\) | −9.41421 | + | 6.65685i | −1.24694 | + | 0.881722i | ||||
\(58\) | −0.965926 | + | 0.258819i | −0.126832 | + | 0.0339846i | ||||
\(59\) | −2.45497 | + | 9.16208i | −0.319610 | + | 1.19280i | 0.600010 | + | 0.799992i | \(0.295163\pi\) |
−0.919620 | + | 0.392809i | \(0.871503\pi\) | |||||||
\(60\) | 0.921519 | + | 0.424546i | 0.118968 | + | 0.0548086i | ||||
\(61\) | 0.500000 | − | 0.866025i | 0.0640184 | − | 0.110883i | −0.832240 | − | 0.554416i | \(-0.812942\pi\) |
0.896258 | + | 0.443533i | \(0.146275\pi\) | |||||||
\(62\) | −0.828427 | −0.105210 | ||||||||
\(63\) | 2.00548 | + | 7.67972i | 0.252667 | + | 0.967553i | ||||
\(64\) | 7.00000i | 0.875000i | ||||||||
\(65\) | −1.39425 | + | 1.58649i | −0.172936 | + | 0.196780i | ||||
\(66\) | −9.47029 | + | 3.49648i | −1.16571 | + | 0.430386i | ||||
\(67\) | 3.49025 | − | 13.0258i | 0.426402 | − | 1.59135i | −0.334441 | − | 0.942417i | \(-0.608548\pi\) |
0.760843 | − | 0.648936i | \(-0.224786\pi\) | |||||||
\(68\) | 1.58346 | + | 0.914214i | 0.192023 | + | 0.110865i | ||||
\(69\) | −1.92893 | + | 11.2426i | −0.232216 | + | 1.35345i | ||||
\(70\) | 0.110988 | + | 1.54587i | 0.0132656 | + | 0.184766i | ||||
\(71\) | −0.464466 | + | 0.464466i | −0.0551220 | + | 0.0551220i | −0.734130 | − | 0.679008i | \(-0.762410\pi\) |
0.679008 | + | 0.734130i | \(0.262410\pi\) | |||||||
\(72\) | −8.97261 | − | 0.701625i | −1.05743 | − | 0.0826873i | ||||
\(73\) | 12.3913 | + | 3.32024i | 1.45029 | + | 0.388605i | 0.896126 | − | 0.443800i | \(-0.146370\pi\) |
0.554167 | + | 0.832405i | \(0.313037\pi\) | |||||||
\(74\) | 3.46410 | − | 2.00000i | 0.402694 | − | 0.232495i | ||||
\(75\) | 5.15610 | − | 6.20270i | 0.595375 | − | 0.716226i | ||||
\(76\) | −4.70711 | + | 4.70711i | −0.539942 | + | 0.539942i | ||||
\(77\) | 11.6569 | + | 10.0951i | 1.32842 | + | 1.15045i | ||||
\(78\) | 2.24264 | − | 5.82843i | 0.253929 | − | 0.659939i | ||||
\(79\) | −0.707107 | + | 1.22474i | −0.0795557 | + | 0.137795i | −0.903058 | − | 0.429518i | \(-0.858683\pi\) |
0.823503 | + | 0.567312i | \(0.192017\pi\) | |||||||
\(80\) | −0.565826 | − | 0.151613i | −0.0632613 | − | 0.0169508i | ||||
\(81\) | 1.39898 | − | 8.89060i | 0.155442 | − | 0.987845i | ||||
\(82\) | 4.89898 | + | 2.82843i | 0.541002 | + | 0.312348i | ||||
\(83\) | −3.07107 | + | 3.07107i | −0.337093 | + | 0.337093i | −0.855272 | − | 0.518179i | \(-0.826610\pi\) |
0.518179 | + | 0.855272i | \(0.326610\pi\) | |||||||
\(84\) | 1.89097 | + | 4.17423i | 0.206322 | + | 0.455446i | ||||
\(85\) | −0.757359 | + | 0.757359i | −0.0821472 | + | 0.0821472i | ||||
\(86\) | 5.79555 | − | 1.55291i | 0.624951 | − | 0.167455i | ||||
\(87\) | −0.599900 | − | 1.62484i | −0.0643161 | − | 0.174202i | ||||
\(88\) | −15.1427 | + | 8.74264i | −1.61422 | + | 0.931969i | ||||
\(89\) | 12.0599 | − | 3.23143i | 1.27834 | − | 0.342531i | 0.445121 | − | 0.895470i | \(-0.353161\pi\) |
0.833221 | + | 0.552940i | \(0.186494\pi\) | |||||||
\(90\) | 0.585786 | − | 1.65685i | 0.0617473 | − | 0.174648i | ||||
\(91\) | −9.45121 | + | 1.29410i | −0.990756 | + | 0.135658i | ||||
\(92\) | 6.58579i | 0.686616i | ||||||||
\(93\) | −0.131652 | − | 1.42883i | −0.0136517 | − | 0.148162i | ||||
\(94\) | −0.328427 | − | 0.568852i | −0.0338747 | − | 0.0586727i | ||||
\(95\) | −1.94975 | − | 3.37706i | −0.200040 | − | 0.346479i | ||||
\(96\) | −8.62372 | + | 0.794593i | −0.880155 | + | 0.0810978i | ||||
\(97\) | −7.00000 | − | 7.00000i | −0.710742 | − | 0.710742i | 0.255948 | − | 0.966691i | \(-0.417612\pi\) |
−0.966691 | + | 0.255948i | \(0.917612\pi\) | |||||||
\(98\) | −4.19187 | + | 5.60609i | −0.423443 | + | 0.566300i | ||||
\(99\) | −7.53553 | − | 15.7782i | −0.757350 | − | 1.58577i | ||||
\(100\) | 2.32843 | − | 4.03295i | 0.232843 | − | 0.403295i | ||||
\(101\) | −2.00000 | − | 3.46410i | −0.199007 | − | 0.344691i | 0.749199 | − | 0.662344i | \(-0.230438\pi\) |
−0.948207 | + | 0.317653i | \(0.897105\pi\) | |||||||
\(102\) | 1.32514 | − | 2.87636i | 0.131209 | − | 0.284802i | ||||
\(103\) | 5.61642 | + | 3.24264i | 0.553402 | + | 0.319507i | 0.750493 | − | 0.660878i | \(-0.229816\pi\) |
−0.197091 | + | 0.980385i | \(0.563149\pi\) | |||||||
\(104\) | 2.12132 | − | 10.6066i | 0.208013 | − | 1.04006i | ||||
\(105\) | −2.64859 | + | 0.437093i | −0.258476 | + | 0.0426559i | ||||
\(106\) | 6.12132 | + | 6.12132i | 0.594555 | + | 0.594555i | ||||
\(107\) | 5.91359 | + | 3.41421i | 0.571688 | + | 0.330064i | 0.757823 | − | 0.652460i | \(-0.226263\pi\) |
−0.186135 | + | 0.982524i | \(0.559596\pi\) | |||||||
\(108\) | −0.0719302 | − | 5.19565i | −0.00692148 | − | 0.499952i | ||||
\(109\) | −1.91894 | + | 7.16158i | −0.183801 | + | 0.685955i | 0.811083 | + | 0.584931i | \(0.198878\pi\) |
−0.994884 | + | 0.101024i | \(0.967788\pi\) | |||||||
\(110\) | −0.883663 | − | 3.29788i | −0.0842540 | − | 0.314440i | ||||
\(111\) | 4.00000 | + | 5.65685i | 0.379663 | + | 0.536925i | ||||
\(112\) | −1.48356 | − | 2.19067i | −0.140184 | − | 0.206999i | ||||
\(113\) | − | 9.00000i | − | 0.846649i | −0.905978 | − | 0.423324i | \(-0.860863\pi\) | ||
0.905978 | − | 0.423324i | \(-0.139137\pi\) | |||||||
\(114\) | 8.86661 | + | 7.37051i | 0.830434 | + | 0.690312i | ||||
\(115\) | −3.72641 | − | 0.998489i | −0.347490 | − | 0.0931096i | ||||
\(116\) | −0.500000 | − | 0.866025i | −0.0464238 | − | 0.0804084i | ||||
\(117\) | 10.4089 | + | 2.94174i | 0.962308 | + | 0.271964i | ||||
\(118\) | 9.48528 | 0.873191 | ||||||||
\(119\) | −4.82514 | + | 0.346430i | −0.442320 | + | 0.0317572i | ||||
\(120\) | 0.514719 | − | 3.00000i | 0.0469872 | − | 0.273861i | ||||
\(121\) | −19.8931 | − | 11.4853i | −1.80846 | − | 1.04412i | ||||
\(122\) | −0.965926 | − | 0.258819i | −0.0874508 | − | 0.0234324i | ||||
\(123\) | −4.09978 | + | 8.89898i | −0.369664 | + | 0.802394i | ||||
\(124\) | −0.214413 | − | 0.800199i | −0.0192548 | − | 0.0718600i | ||||
\(125\) | 4.00000 | + | 4.00000i | 0.357771 | + | 0.357771i | ||||
\(126\) | 6.89898 | − | 3.92480i | 0.614610 | − | 0.349649i | ||||
\(127\) | − | 16.1421i | − | 1.43238i | −0.697904 | − | 0.716191i | \(-0.745884\pi\) | ||
0.697904 | − | 0.716191i | \(-0.254116\pi\) | |||||||
\(128\) | −2.89778 | + | 0.776457i | −0.256130 | + | 0.0686298i | ||||
\(129\) | 3.59940 | + | 9.74907i | 0.316910 | + | 0.858357i | ||||
\(130\) | 1.89329 | + | 0.936131i | 0.166053 | + | 0.0821042i | ||||
\(131\) | −11.1097 | − | 6.41421i | −0.970663 | − | 0.560412i | −0.0712246 | − | 0.997460i | \(-0.522691\pi\) |
−0.899438 | + | 0.437048i | \(0.856024\pi\) | |||||||
\(132\) | −5.82843 | − | 8.24264i | −0.507299 | − | 0.717430i | ||||
\(133\) | 3.32843 | − | 17.2950i | 0.288611 | − | 1.49967i | ||||
\(134\) | −13.4853 | −1.16495 | ||||||||
\(135\) | 2.95074 | + | 0.747027i | 0.253960 | + | 0.0642939i | ||||
\(136\) | 1.41970 | − | 5.29837i | 0.121738 | − | 0.454332i | ||||
\(137\) | 2.95422 | − | 11.0253i | 0.252396 | − | 0.941954i | −0.717125 | − | 0.696944i | \(-0.754542\pi\) |
0.969521 | − | 0.245009i | \(-0.0787909\pi\) | |||||||
\(138\) | 11.3588 | − | 1.04660i | 0.966925 | − | 0.0890929i | ||||
\(139\) | 2.92893 | 0.248429 | 0.124214 | − | 0.992255i | \(-0.460359\pi\) | ||||
0.124214 | + | 0.992255i | \(0.460359\pi\) | |||||||
\(140\) | −1.46447 | + | 0.507306i | −0.123770 | + | 0.0428752i | ||||
\(141\) | 0.928932 | − | 0.656854i | 0.0782302 | − | 0.0553171i | ||||
\(142\) | 0.568852 | + | 0.328427i | 0.0477370 | + | 0.0275610i | ||||
\(143\) | 19.9065 | − | 6.73413i | 1.66467 | − | 0.563136i | ||||
\(144\) | 0.548188 | + | 2.94949i | 0.0456823 | + | 0.245791i | ||||
\(145\) | 0.565826 | − | 0.151613i | 0.0469893 | − | 0.0125907i | ||||
\(146\) | − | 12.8284i | − | 1.06169i | ||||||
\(147\) | −10.3352 | − | 6.33900i | −0.852436 | − | 0.522832i | ||||
\(148\) | 2.82843 | + | 2.82843i | 0.232495 | + | 0.232495i | ||||
\(149\) | 3.74907 | + | 13.9917i | 0.307136 | + | 1.14625i | 0.931091 | + | 0.364786i | \(0.118858\pi\) |
−0.623956 | + | 0.781460i | \(0.714476\pi\) | |||||||
\(150\) | −7.32585 | − | 3.37503i | −0.598153 | − | 0.275570i | ||||
\(151\) | −19.1528 | − | 5.13197i | −1.55863 | − | 0.417634i | −0.626402 | − | 0.779500i | \(-0.715473\pi\) |
−0.932230 | + | 0.361866i | \(0.882140\pi\) | |||||||
\(152\) | 17.2950 | + | 9.98528i | 1.40281 | + | 0.809913i | ||||
\(153\) | 5.17157 | + | 1.82843i | 0.418097 | + | 0.147820i | ||||
\(154\) | 6.73413 | − | 13.8725i | 0.542652 | − | 1.11788i | ||||
\(155\) | 0.485281 | 0.0389787 | ||||||||
\(156\) | 6.21027 | + | 0.657717i | 0.497219 | + | 0.0526595i | ||||
\(157\) | 0.914214 | + | 1.58346i | 0.0729622 | + | 0.126374i | 0.900198 | − | 0.435480i | \(-0.143421\pi\) |
−0.827236 | + | 0.561854i | \(0.810088\pi\) | |||||||
\(158\) | 1.36603 | + | 0.366025i | 0.108675 | + | 0.0291194i | ||||
\(159\) | −9.58492 | + | 11.5305i | −0.760134 | + | 0.914429i | ||||
\(160\) | − | 2.92893i | − | 0.231552i | ||||||
\(161\) | −9.77044 | − | 14.4273i | −0.770018 | − | 1.13703i | ||||
\(162\) | −8.94975 | + | 0.949747i | −0.703159 | + | 0.0746192i | ||||
\(163\) | 0.562044 | + | 2.09758i | 0.0440227 | + | 0.164295i | 0.984438 | − | 0.175734i | \(-0.0562298\pi\) |
−0.940415 | + | 0.340029i | \(0.889563\pi\) | |||||||
\(164\) | −1.46410 | + | 5.46410i | −0.114327 | + | 0.426675i | ||||
\(165\) | 5.54757 | − | 2.04819i | 0.431877 | − | 0.159451i | ||||
\(166\) | 3.76127 | + | 2.17157i | 0.291932 | + | 0.168547i | ||||
\(167\) | −15.5355 | − | 15.5355i | −1.20218 | − | 1.20218i | −0.973503 | − | 0.228672i | \(-0.926562\pi\) |
−0.228672 | − | 0.973503i | \(-0.573438\pi\) | |||||||
\(168\) | 10.6277 | − | 8.72072i | 0.819948 | − | 0.672818i | ||||
\(169\) | −5.00000 | + | 12.0000i | −0.384615 | + | 0.923077i | ||||
\(170\) | 0.927572 | + | 0.535534i | 0.0711415 | + | 0.0410736i | ||||
\(171\) | −11.3032 | + | 16.4639i | −0.864376 | + | 1.25903i | ||||
\(172\) | 3.00000 | + | 5.19615i | 0.228748 | + | 0.396203i | ||||
\(173\) | 7.74264 | − | 13.4106i | 0.588662 | − | 1.01959i | −0.405746 | − | 0.913986i | \(-0.632988\pi\) |
0.994408 | − | 0.105607i | \(-0.0336785\pi\) | |||||||
\(174\) | −1.41421 | + | 1.00000i | −0.107211 | + | 0.0758098i | ||||
\(175\) | 0.882328 | + | 12.2892i | 0.0666977 | + | 0.928980i | ||||
\(176\) | 4.12132 | + | 4.12132i | 0.310656 | + | 0.310656i | ||||
\(177\) | 1.50739 | + | 16.3597i | 0.113302 | + | 1.22967i | ||||
\(178\) | −6.24264 | − | 10.8126i | −0.467906 | − | 0.810436i | ||||
\(179\) | −0.757359 | − | 1.31178i | −0.0566077 | − | 0.0980474i | 0.836333 | − | 0.548222i | \(-0.184695\pi\) |
−0.892941 | + | 0.450175i | \(0.851362\pi\) | |||||||
\(180\) | 1.75201 | + | 0.137001i | 0.130587 | + | 0.0102114i | ||||
\(181\) | − | 9.14214i | − | 0.679530i | −0.940510 | − | 0.339765i | \(-0.889653\pi\) | ||
0.940510 | − | 0.339765i | \(-0.110347\pi\) | |||||||
\(182\) | 3.69615 | + | 8.79423i | 0.273977 | + | 0.651872i | ||||
\(183\) | 0.292893 | − | 1.70711i | 0.0216513 | − | 0.126193i | ||||
\(184\) | 19.0841 | − | 5.11358i | 1.40690 | − | 0.376978i | ||||
\(185\) | −2.02922 | + | 1.17157i | −0.149191 | + | 0.0861358i | ||||
\(186\) | −1.34607 | + | 0.496974i | −0.0986983 | + | 0.0364399i | ||||
\(187\) | 10.2937 | − | 2.75820i | 0.752752 | − | 0.201699i | ||||
\(188\) | 0.464466 | − | 0.464466i | 0.0338747 | − | 0.0338747i | ||||
\(189\) | 7.86566 | + | 11.2753i | 0.572143 | + | 0.820154i | ||||
\(190\) | −2.75736 | + | 2.75736i | −0.200040 | + | 0.200040i | ||||
\(191\) | −14.6969 | − | 8.48528i | −1.06343 | − | 0.613973i | −0.137053 | − | 0.990564i | \(-0.543763\pi\) |
−0.926380 | + | 0.376590i | \(0.877096\pi\) | |||||||
\(192\) | 4.19930 | + | 11.3739i | 0.303059 | + | 0.820841i | ||||
\(193\) | 2.73205 | + | 0.732051i | 0.196657 | + | 0.0526942i | 0.355803 | − | 0.934561i | \(-0.384207\pi\) |
−0.159146 | + | 0.987255i | \(0.550874\pi\) | |||||||
\(194\) | −4.94975 | + | 8.57321i | −0.355371 | + | 0.615521i | ||||
\(195\) | −1.31371 | + | 3.41421i | −0.0940766 | + | 0.244497i | ||||
\(196\) | −6.50000 | − | 2.59808i | −0.464286 | − | 0.185577i | ||||
\(197\) | 5.00000 | − | 5.00000i | 0.356235 | − | 0.356235i | −0.506188 | − | 0.862423i | \(-0.668946\pi\) |
0.862423 | + | 0.506188i | \(0.168946\pi\) | |||||||
\(198\) | −13.2902 | + | 11.3625i | −0.944494 | + | 0.807495i | ||||
\(199\) | 13.0519 | − | 7.53553i | 0.925227 | − | 0.534180i | 0.0399279 | − | 0.999203i | \(-0.487287\pi\) |
0.885299 | + | 0.465023i | \(0.153954\pi\) | |||||||
\(200\) | −13.4945 | − | 3.61585i | −0.954207 | − | 0.255679i | ||||
\(201\) | −2.14306 | − | 23.2587i | −0.151160 | − | 1.64054i | ||||
\(202\) | −2.82843 | + | 2.82843i | −0.199007 | + | 0.199007i | ||||
\(203\) | 2.38014 | + | 1.15539i | 0.167053 | + | 0.0810928i | ||||
\(204\) | 3.12132 | + | 0.535534i | 0.218536 | + | 0.0374949i | ||||
\(205\) | −2.86976 | − | 1.65685i | −0.200432 | − | 0.115720i | ||||
\(206\) | 1.67851 | − | 6.26430i | 0.116948 | − | 0.436455i | ||||
\(207\) | 3.61025 | + | 19.4247i | 0.250930 | + | 1.35011i | ||||
\(208\) | −3.59808 | + | 0.232051i | −0.249482 | + | 0.0160898i | ||||
\(209\) | 38.7990i | 2.68378i | ||||||||
\(210\) | 1.10770 | + | 2.44521i | 0.0764389 | + | 0.168736i | ||||
\(211\) | −15.0711 | −1.03754 | −0.518768 | − | 0.854915i | \(-0.673609\pi\) | ||||
−0.518768 | + | 0.854915i | \(0.673609\pi\) | |||||||
\(212\) | −4.32843 | + | 7.49706i | −0.297278 | + | 0.514900i | ||||
\(213\) | −0.476052 | + | 1.03332i | −0.0326185 | + | 0.0708018i | ||||
\(214\) | 1.76733 | − | 6.59575i | 0.120812 | − | 0.450876i | ||||
\(215\) | −3.39496 | + | 0.909676i | −0.231534 | + | 0.0620394i | ||||
\(216\) | −15.0000 | + | 4.24264i | −1.02062 | + | 0.288675i | ||||
\(217\) | 1.65685 | + | 1.43488i | 0.112475 | + | 0.0974059i | ||||
\(218\) | 7.41421 | 0.502154 | ||||||||
\(219\) | 22.1258 | − | 2.03868i | 1.49512 | − | 0.137761i | ||||
\(220\) | 2.95680 | − | 1.70711i | 0.199347 | − | 0.115093i | ||||
\(221\) | −2.92197 | + | 5.90957i | −0.196553 | + | 0.397521i | ||||
\(222\) | 4.42883 | − | 5.32780i | 0.297243 | − | 0.357579i | ||||
\(223\) | −3.53553 | − | 3.53553i | −0.236757 | − | 0.236757i | 0.578749 | − | 0.815506i | \(-0.303541\pi\) |
−0.815506 | + | 0.578749i | \(0.803541\pi\) | |||||||
\(224\) | 8.66025 | − | 10.0000i | 0.578638 | − | 0.668153i | ||||
\(225\) | 4.65685 | − | 13.1716i | 0.310457 | − | 0.878105i | ||||
\(226\) | −8.69333 | + | 2.32937i | −0.578272 | + | 0.154947i | ||||
\(227\) | −5.79555 | − | 1.55291i | −0.384664 | − | 0.103071i | 0.0613041 | − | 0.998119i | \(-0.480474\pi\) |
−0.445969 | + | 0.895049i | \(0.647141\pi\) | |||||||
\(228\) | −4.82452 | + | 10.4721i | −0.319512 | + | 0.693533i | ||||
\(229\) | −1.42731 | − | 5.32681i | −0.0943196 | − | 0.352005i | 0.902596 | − | 0.430489i | \(-0.141659\pi\) |
−0.996915 | + | 0.0784835i | \(0.974992\pi\) | |||||||
\(230\) | 3.85786i | 0.254380i | ||||||||
\(231\) | 24.9966 | + | 9.41007i | 1.64466 | + | 0.619137i | ||||
\(232\) | −2.12132 | + | 2.12132i | −0.139272 | + | 0.139272i | ||||
\(233\) | 0.671573 | − | 1.16320i | 0.0439962 | − | 0.0762037i | −0.843189 | − | 0.537618i | \(-0.819324\pi\) |
0.887185 | + | 0.461414i | \(0.152658\pi\) | |||||||
\(234\) | 0.147466 | − | 10.8156i | 0.00964018 | − | 0.707041i | ||||
\(235\) | 0.192388 | + | 0.333226i | 0.0125500 | + | 0.0217373i | ||||
\(236\) | 2.45497 | + | 9.16208i | 0.159805 | + | 0.596400i | ||||
\(237\) | −0.414214 | + | 2.41421i | −0.0269061 | + | 0.156820i | ||||
\(238\) | 1.58346 | + | 4.57107i | 0.102641 | + | 0.296298i | ||||
\(239\) | 4.46447 | − | 4.46447i | 0.288782 | − | 0.288782i | −0.547816 | − | 0.836599i | \(-0.684541\pi\) |
0.836599 | + | 0.547816i | \(0.184541\pi\) | |||||||
\(240\) | −1.01033 | + | 0.0930924i | −0.0652167 | + | 0.00600909i | ||||
\(241\) | 21.4847 | + | 5.75682i | 1.38395 | + | 0.370829i | 0.872556 | − | 0.488515i | \(-0.162461\pi\) |
0.511398 | + | 0.859344i | \(0.329128\pi\) | |||||||
\(242\) | −5.94522 | + | 22.1879i | −0.382173 | + | 1.42629i | ||||
\(243\) | −3.06035 | − | 15.2851i | −0.196322 | − | 0.980540i | ||||
\(244\) | − | 1.00000i | − | 0.0640184i | ||||||
\(245\) | 2.45554 | − | 3.28397i | 0.156879 | − | 0.209805i | ||||
\(246\) | 9.65685 | + | 1.65685i | 0.615699 | + | 0.105637i | ||||
\(247\) | −18.0288 | − | 15.8442i | −1.14715 | − | 1.00814i | ||||
\(248\) | −2.15232 | + | 1.24264i | −0.136672 | + | 0.0789078i | ||||
\(249\) | −3.14767 | + | 6.83234i | −0.199476 | + | 0.432982i | ||||
\(250\) | 2.82843 | − | 4.89898i | 0.178885 | − | 0.309839i | ||||
\(251\) | 2.00000 | 0.126239 | 0.0631194 | − | 0.998006i | \(-0.479895\pi\) | ||||
0.0631194 | + | 0.998006i | \(0.479895\pi\) | |||||||
\(252\) | 5.57666 | + | 5.64809i | 0.351296 | + | 0.355796i | ||||
\(253\) | 27.1421 | + | 27.1421i | 1.70641 | + | 1.70641i | ||||
\(254\) | −15.5921 | + | 4.17789i | −0.978336 | + | 0.262144i | ||||
\(255\) | −0.776251 | + | 1.68493i | −0.0486107 | + | 0.105514i | ||||
\(256\) | 8.50000 | + | 14.7224i | 0.531250 | + | 0.920152i | ||||
\(257\) | −9.41421 | + | 16.3059i | −0.587243 | + | 1.01713i | 0.407349 | + | 0.913272i | \(0.366453\pi\) |
−0.994592 | + | 0.103861i | \(0.966880\pi\) | |||||||
\(258\) | 8.48528 | − | 6.00000i | 0.528271 | − | 0.373544i | ||||
\(259\) | −10.3923 | − | 2.00000i | −0.645746 | − | 0.124274i | ||||
\(260\) | −0.414214 | + | 2.07107i | −0.0256884 | + | 0.128442i | ||||
\(261\) | −1.94949 | − | 2.28024i | −0.120670 | − | 0.141143i | ||||
\(262\) | −3.32024 | + | 12.3913i | −0.205125 | + | 0.765538i | ||||
\(263\) | 17.7408 | − | 10.2426i | 1.09394 | − | 0.631588i | 0.159320 | − | 0.987227i | \(-0.449070\pi\) |
0.934623 | + | 0.355639i | \(0.115737\pi\) | |||||||
\(264\) | −19.3598 | + | 23.2895i | −1.19151 | + | 1.43337i | ||||
\(265\) | −3.58579 | − | 3.58579i | −0.220273 | − | 0.220273i | ||||
\(266\) | −17.5672 | + | 1.26127i | −1.07711 | + | 0.0773331i | ||||
\(267\) | 17.6569 | − | 12.4853i | 1.08058 | − | 0.764087i | ||||
\(268\) | −3.49025 | − | 13.0258i | −0.213201 | − | 0.795676i | ||||
\(269\) | −6.06218 | + | 3.50000i | −0.369618 | + | 0.213399i | −0.673291 | − | 0.739377i | \(-0.735120\pi\) |
0.303674 | + | 0.952776i | \(0.401787\pi\) | |||||||
\(270\) | −0.0421357 | − | 3.04354i | −0.00256430 | − | 0.185224i | ||||
\(271\) | −1.07968 | − | 4.02943i | −0.0655860 | − | 0.244770i | 0.925348 | − | 0.379118i | \(-0.123773\pi\) |
−0.990934 | + | 0.134348i | \(0.957106\pi\) | |||||||
\(272\) | −1.82843 | −0.110865 | ||||||||
\(273\) | −14.5804 | + | 7.77249i | −0.882447 | + | 0.470412i | ||||
\(274\) | −11.4142 | −0.689558 | ||||||||
\(275\) | −7.02490 | − | 26.2173i | −0.423618 | − | 1.58096i | ||||
\(276\) | 3.95082 | + | 10.7009i | 0.237811 | + | 0.644117i | ||||
\(277\) | 3.31552 | − | 1.91421i | 0.199210 | − | 0.115014i | −0.397077 | − | 0.917785i | \(-0.629975\pi\) |
0.596287 | + | 0.802771i | \(0.296642\pi\) | |||||||
\(278\) | −0.758063 | − | 2.82913i | −0.0454656 | − | 0.169680i | ||||
\(279\) | −1.07107 | − | 2.24264i | −0.0641232 | − | 0.134263i | ||||
\(280\) | 2.60715 | + | 3.84980i | 0.155807 | + | 0.230069i | ||||
\(281\) | 8.07107 | + | 8.07107i | 0.481480 | + | 0.481480i | 0.905604 | − | 0.424124i | \(-0.139418\pi\) |
−0.424124 | + | 0.905604i | \(0.639418\pi\) | |||||||
\(282\) | −0.874898 | − | 0.727273i | −0.0520994 | − | 0.0433085i | ||||
\(283\) | −15.4144 | + | 8.89949i | −0.916290 | + | 0.529020i | −0.882449 | − | 0.470407i | \(-0.844107\pi\) |
−0.0338402 | + | 0.999427i | \(0.510774\pi\) | |||||||
\(284\) | −0.170006 | + | 0.634472i | −0.0100880 | + | 0.0376490i | ||||
\(285\) | −5.19394 | − | 4.31755i | −0.307662 | − | 0.255749i | ||||
\(286\) | −11.6569 | − | 17.4853i | −0.689284 | − | 1.03393i | ||||
\(287\) | −4.89898 | − | 14.1421i | −0.289178 | − | 0.834784i | ||||
\(288\) | −13.5355 | + | 6.46447i | −0.797589 | + | 0.380922i | ||||
\(289\) | 6.82843 | − | 11.8272i | 0.401672 | − | 0.695717i | ||||
\(290\) | −0.292893 | − | 0.507306i | −0.0171993 | − | 0.0297900i | ||||
\(291\) | −15.5732 | − | 7.17461i | −0.912918 | − | 0.420583i | ||||
\(292\) | 12.3913 | − | 3.32024i | 0.725147 | − | 0.194302i | ||||
\(293\) | 9.14214 | + | 9.14214i | 0.534089 | + | 0.534089i | 0.921787 | − | 0.387697i | \(-0.126729\pi\) |
−0.387697 | + | 0.921787i | \(0.626729\pi\) | |||||||
\(294\) | −3.44805 | + | 11.6237i | −0.201094 | + | 0.677909i | ||||
\(295\) | −5.55635 | −0.323503 | ||||||||
\(296\) | 6.00000 | − | 10.3923i | 0.348743 | − | 0.604040i | ||||
\(297\) | −21.7094 | − | 21.1165i | −1.25971 | − | 1.22530i | ||||
\(298\) | 12.5446 | − | 7.24264i | 0.726690 | − | 0.419555i | ||||
\(299\) | −23.6962 | + | 1.52824i | −1.37038 | + | 0.0883802i | ||||
\(300\) | 1.36396 | − | 7.94975i | 0.0787483 | − | 0.458979i | ||||
\(301\) | −14.2808 | − | 6.93237i | −0.823134 | − | 0.399575i | ||||
\(302\) | 19.8284i | 1.14100i | ||||||||
\(303\) | −5.32780 | − | 4.42883i | −0.306074 | − | 0.254429i | ||||
\(304\) | 1.72292 | − | 6.43003i | 0.0988163 | − | 0.368787i | ||||
\(305\) | 0.565826 | + | 0.151613i | 0.0323991 | + | 0.00868132i | ||||
\(306\) | 0.427623 | − | 5.46859i | 0.0244456 | − | 0.312618i | ||||
\(307\) | 3.53553 | − | 3.53553i | 0.201784 | − | 0.201784i | −0.598980 | − | 0.800764i | \(-0.704427\pi\) |
0.800764 | + | 0.598980i | \(0.204427\pi\) | |||||||
\(308\) | 15.1427 | + | 2.91421i | 0.862835 | + | 0.166053i | ||||
\(309\) | 11.0711 | + | 1.89949i | 0.629811 | + | 0.108058i | ||||
\(310\) | −0.125600 | − | 0.468746i | −0.00713360 | − | 0.0266230i | ||||
\(311\) | 0.928932 | + | 1.60896i | 0.0526749 | + | 0.0912356i | 0.891161 | − | 0.453688i | \(-0.149892\pi\) |
−0.838486 | + | 0.544924i | \(0.816559\pi\) | |||||||
\(312\) | −2.91609 | − | 18.5067i | −0.165091 | − | 1.04773i | ||||
\(313\) | −11.8284 | + | 20.4874i | −0.668582 | + | 1.15802i | 0.309718 | + | 0.950828i | \(0.399765\pi\) |
−0.978301 | + | 0.207190i | \(0.933568\pi\) | |||||||
\(314\) | 1.29289 | − | 1.29289i | 0.0729622 | − | 0.0729622i | ||||
\(315\) | −4.04133 | + | 2.29910i | −0.227703 | + | 0.129539i | ||||
\(316\) | 1.41421i | 0.0795557i | ||||||||
\(317\) | 4.38153 | + | 16.3521i | 0.246091 | + | 0.918425i | 0.972832 | + | 0.231513i | \(0.0743676\pi\) |
−0.726741 | + | 0.686912i | \(0.758966\pi\) | |||||||
\(318\) | 13.6184 | + | 6.27401i | 0.763681 | + | 0.351829i | ||||
\(319\) | −5.62983 | − | 1.50851i | −0.315210 | − | 0.0844602i | ||||
\(320\) | −3.96078 | + | 1.06129i | −0.221415 | + | 0.0593278i | ||||
\(321\) | 11.6569 | + | 2.00000i | 0.650622 | + | 0.111629i | ||||
\(322\) | −11.4069 | + | 13.1716i | −0.635683 | + | 0.734023i | ||||
\(323\) | −8.60660 | − | 8.60660i | −0.478884 | − | 0.478884i | ||||
\(324\) | −3.23375 | − | 8.39898i | −0.179653 | − | 0.466610i | ||||
\(325\) | 15.0512 | + | 7.44201i | 0.834890 | + | 0.412808i | ||||
\(326\) | 1.88064 | − | 1.08579i | 0.104159 | − | 0.0601361i | ||||
\(327\) | 1.17826 | + | 12.7876i | 0.0651577 | + | 0.707157i | ||||
\(328\) | 16.9706 | 0.937043 | ||||||||
\(329\) | −0.328427 | + | 1.70656i | −0.0181068 | + | 0.0940856i | ||||
\(330\) | −3.41421 | − | 4.82843i | −0.187946 | − | 0.265796i | ||||
\(331\) | 22.6566 | − | 6.07082i | 1.24532 | − | 0.333682i | 0.424793 | − | 0.905291i | \(-0.360347\pi\) |
0.820527 | + | 0.571608i | \(0.193680\pi\) | |||||||
\(332\) | −1.12409 | + | 4.19516i | −0.0616924 | + | 0.230239i | ||||
\(333\) | 9.89293 | + | 6.79191i | 0.542129 | + | 0.372194i | ||||
\(334\) | −10.9853 | + | 19.0271i | −0.601088 | + | 1.04111i | ||||
\(335\) | 7.89949 | 0.431596 | ||||||||
\(336\) | −3.72474 | − | 2.66951i | −0.203201 | − | 0.145634i | ||||
\(337\) | 17.1421i | 0.933792i | 0.884312 | + | 0.466896i | \(0.154628\pi\) | ||||
−0.884312 | + | 0.466896i | \(0.845372\pi\) | |||||||
\(338\) | 12.8852 | + | 1.72380i | 0.700863 | + | 0.0937624i | ||||
\(339\) | −5.39910 | − | 14.6236i | −0.293239 | − | 0.794245i | ||||
\(340\) | −0.277213 | + | 1.03457i | −0.0150340 | + | 0.0561075i | ||||
\(341\) | −4.18154 | − | 2.41421i | −0.226443 | − | 0.130737i | ||||
\(342\) | 18.8284 | + | 6.65685i | 1.01812 | + | 0.359961i | ||||
\(343\) | 18.0938 | − | 3.95164i | 0.976972 | − | 0.213368i | ||||
\(344\) | 12.7279 | − | 12.7279i | 0.686244 | − | 0.686244i | ||||
\(345\) | −6.65383 | + | 0.613086i | −0.358230 | + | 0.0330075i | ||||
\(346\) | −14.9576 | − | 4.00789i | −0.804127 | − | 0.215465i | ||||
\(347\) | 4.05845 | − | 2.34315i | 0.217869 | − | 0.125787i | −0.387094 | − | 0.922040i | \(-0.626521\pi\) |
0.604963 | + | 0.796254i | \(0.293188\pi\) | |||||||
\(348\) | −1.33195 | − | 1.10721i | −0.0714001 | − | 0.0593525i | ||||
\(349\) | 3.00000 | − | 3.00000i | 0.160586 | − | 0.160586i | −0.622240 | − | 0.782826i | \(-0.713777\pi\) |
0.782826 | + | 0.622240i | \(0.213777\pi\) | |||||||
\(350\) | 11.6421 | − | 4.03295i | 0.622298 | − | 0.215570i | ||||
\(351\) | 18.6777 | − | 1.46447i | 0.996940 | − | 0.0781674i | ||||
\(352\) | −14.5711 | + | 25.2378i | −0.776641 | + | 1.34518i | ||||
\(353\) | −6.92721 | − | 1.85614i | −0.368698 | − | 0.0987923i | 0.0697126 | − | 0.997567i | \(-0.477792\pi\) |
−0.438411 | + | 0.898775i | \(0.644458\pi\) | |||||||
\(354\) | 15.4121 | − | 5.69022i | 0.819144 | − | 0.302432i | ||||
\(355\) | −0.333226 | − | 0.192388i | −0.0176858 | − | 0.0102109i | ||||
\(356\) | 8.82843 | − | 8.82843i | 0.467906 | − | 0.467906i | ||||
\(357\) | −7.63228 | + | 3.45750i | −0.403943 | + | 0.182990i | ||||
\(358\) | −1.07107 | + | 1.07107i | −0.0566077 | + | 0.0566077i | ||||
\(359\) | 21.7191 | − | 5.81962i | 1.14629 | − | 0.307148i | 0.364813 | − | 0.931081i | \(-0.381133\pi\) |
0.781478 | + | 0.623933i | \(0.214466\pi\) | |||||||
\(360\) | −0.963364 | − | 5.18331i | −0.0507737 | − | 0.273185i | ||||
\(361\) | 21.9223 | − | 12.6569i | 1.15381 | − | 0.666150i | ||||
\(362\) | −8.83062 | + | 2.36616i | −0.464127 | + | 0.124363i | ||||
\(363\) | −39.2132 | − | 6.72792i | −2.05816 | − | 0.353124i | ||||
\(364\) | −7.53794 | + | 5.84632i | −0.395095 | + | 0.306431i | ||||
\(365\) | 7.51472i | 0.393338i | ||||||||
\(366\) | −1.72474 | + | 0.158919i | −0.0901539 | + | 0.00830681i | ||||
\(367\) | −7.19239 | − | 12.4576i | −0.375440 | − | 0.650280i | 0.614953 | − | 0.788564i | \(-0.289175\pi\) |
−0.990393 | + | 0.138283i | \(0.955842\pi\) | |||||||
\(368\) | −3.29289 | − | 5.70346i | −0.171654 | − | 0.297313i | ||||
\(369\) | −1.32300 | + | 16.9189i | −0.0688725 | + | 0.880764i | ||||
\(370\) | 1.65685 | + | 1.65685i | 0.0861358 | + | 0.0861358i | ||||
\(371\) | −1.64020 | − | 22.8451i | −0.0851551 | − | 1.18606i | ||||
\(372\) | −0.828427 | − | 1.17157i | −0.0429519 | − | 0.0607432i | ||||
\(373\) | −11.3995 | + | 19.7445i | −0.590243 | + | 1.02233i | 0.403956 | + | 0.914778i | \(0.367635\pi\) |
−0.994199 | + | 0.107553i | \(0.965698\pi\) | |||||||
\(374\) | −5.32843 | − | 9.22911i | −0.275526 | − | 0.477226i | ||||
\(375\) | 8.89898 | + | 4.09978i | 0.459541 | + | 0.211712i | ||||
\(376\) | −1.70656 | − | 0.985281i | −0.0880090 | − | 0.0508120i | ||||
\(377\) | 3.00000 | − | 2.00000i | 0.154508 | − | 0.103005i | ||||
\(378\) | 8.85528 | − | 10.5159i | 0.455466 | − | 0.540879i | ||||
\(379\) | −0.928932 | − | 0.928932i | −0.0477160 | − | 0.0477160i | 0.682846 | − | 0.730562i | \(-0.260742\pi\) |
−0.730562 | + | 0.682846i | \(0.760742\pi\) | |||||||
\(380\) | −3.37706 | − | 1.94975i | −0.173240 | − | 0.100020i | ||||
\(381\) | −9.68367 | − | 26.2285i | −0.496110 | − | 1.34372i | ||||
\(382\) | −4.39230 | + | 16.3923i | −0.224730 | + | 0.838703i | ||||
\(383\) | 1.85614 | + | 6.92721i | 0.0948443 | + | 0.353964i | 0.996996 | − | 0.0774556i | \(-0.0246796\pi\) |
−0.902151 | + | 0.431419i | \(0.858013\pi\) | |||||||
\(384\) | −4.24264 | + | 3.00000i | −0.216506 | + | 0.153093i | ||||
\(385\) | −3.94476 | + | 8.12630i | −0.201044 | + | 0.414155i | ||||
\(386\) | − | 2.82843i | − | 0.143963i | ||||||
\(387\) | 11.6969 | + | 13.6814i | 0.594589 | + | 0.695466i | ||||
\(388\) | −9.56218 | − | 2.56218i | −0.485446 | − | 0.130075i | ||||
\(389\) | 4.67157 | + | 8.09140i | 0.236858 | + | 0.410250i | 0.959811 | − | 0.280647i | \(-0.0905490\pi\) |
−0.722953 | + | 0.690897i | \(0.757216\pi\) | |||||||
\(390\) | 3.63789 | + | 0.385281i | 0.184212 | + | 0.0195095i | ||||
\(391\) | −12.0416 | −0.608971 | ||||||||
\(392\) | −2.48168 | + | 20.8528i | −0.125344 | + | 1.05323i | ||||
\(393\) | −21.8995 | − | 3.75736i | −1.10468 | − | 0.189534i | ||||
\(394\) | −6.12372 | − | 3.53553i | −0.308509 | − | 0.178118i | ||||
\(395\) | −0.800199 | − | 0.214413i | −0.0402624 | − | 0.0107883i | ||||
\(396\) | −14.4151 | − | 9.89653i | −0.724384 | − | 0.497319i | ||||
\(397\) | 7.28372 | + | 27.1832i | 0.365559 | + | 1.36429i | 0.866661 | + | 0.498898i | \(0.166262\pi\) |
−0.501101 | + | 0.865389i | \(0.667072\pi\) | |||||||
\(398\) | −10.6569 | − | 10.6569i | −0.534180 | − | 0.534180i | ||||
\(399\) | −4.96711 | − | 30.0984i | −0.248667 | − | 1.50681i | ||||
\(400\) | 4.65685i | 0.232843i | ||||||||
\(401\) | 11.8255 | − | 3.16863i | 0.590536 | − | 0.158234i | 0.0488381 | − | 0.998807i | \(-0.484448\pi\) |
0.541698 | + | 0.840573i | \(0.317782\pi\) | |||||||
\(402\) | −21.9115 | + | 8.08983i | −1.09285 | + | 0.403484i | ||||
\(403\) | 2.82942 | − | 0.957160i | 0.140944 | − | 0.0476795i | ||||
\(404\) | −3.46410 | − | 2.00000i | −0.172345 | − | 0.0995037i | ||||
\(405\) | 5.24264 | − | 0.556349i | 0.260509 | − | 0.0276452i | ||||
\(406\) | 0.500000 | − | 2.59808i | 0.0248146 | − | 0.128940i | ||||
\(407\) | 23.3137 | 1.15562 | ||||||||
\(408\) | −0.871713 | − | 9.46071i | −0.0431562 | − | 0.468375i | ||||
\(409\) | 6.91770 | − | 25.8172i | 0.342058 | − | 1.27658i | −0.553954 | − | 0.832547i | \(-0.686882\pi\) |
0.896012 | − | 0.444030i | \(-0.146452\pi\) | |||||||
\(410\) | −0.857651 | + | 3.20080i | −0.0423564 | + | 0.158076i | ||||
\(411\) | −1.81393 | − | 19.6866i | −0.0894746 | − | 0.971069i | ||||
\(412\) | 6.48528 | 0.319507 | ||||||||
\(413\) | −18.9706 | − | 16.4290i | −0.933480 | − | 0.808418i | ||||
\(414\) | 17.8284 | − | 8.51472i | 0.876219 | − | 0.418476i | ||||
\(415\) | −2.20330 | − | 1.27208i | −0.108156 | − | 0.0624439i | ||||
\(416\) | −5.77697 | − | 17.0771i | −0.283239 | − | 0.837273i | ||||
\(417\) | 4.75906 | − | 1.75707i | 0.233052 | − | 0.0860440i | ||||
\(418\) | 37.4769 | − | 10.0419i | 1.83306 | − | 0.491166i | ||||
\(419\) | 16.9289i | 0.827032i | 0.910497 | + | 0.413516i | \(0.135700\pi\) | ||||
−0.910497 | + | 0.413516i | \(0.864300\pi\) | |||||||
\(420\) | −2.07520 | + | 1.70283i | −0.101259 | + | 0.0830895i | ||||
\(421\) | −11.0711 | − | 11.0711i | −0.539571 | − | 0.539571i | 0.383832 | − | 0.923403i | \(-0.374604\pi\) |
−0.923403 | + | 0.383832i | \(0.874604\pi\) | |||||||
\(422\) | 3.90068 | + | 14.5575i | 0.189882 | + | 0.708650i | ||||
\(423\) | 1.11532 | − | 1.62455i | 0.0542289 | − | 0.0789885i | ||||
\(424\) | 25.0856 | + | 6.72168i | 1.21827 | + | 0.326433i | ||||
\(425\) | 7.37396 | + | 4.25736i | 0.357690 | + | 0.206512i | ||||
\(426\) | 1.12132 | + | 0.192388i | 0.0543281 | + | 0.00932124i | ||||
\(427\) | 1.48356 | + | 2.19067i | 0.0717947 | + | 0.106014i | ||||
\(428\) | 6.82843 | 0.330064 | ||||||||
\(429\) | 28.3052 | − | 22.8838i | 1.36659 | − | 1.10484i | ||||
\(430\) | 1.75736 | + | 3.04384i | 0.0847474 | + | 0.146787i | ||||
\(431\) | 14.6546 | + | 3.92669i | 0.705888 | + | 0.189142i | 0.593866 | − | 0.804564i | \(-0.297601\pi\) |
0.112022 | + | 0.993706i | \(0.464267\pi\) | |||||||
\(432\) | 2.66012 | + | 4.46360i | 0.127985 | + | 0.214755i | ||||
\(433\) | 5.14214i | 0.247115i | 0.992337 | + | 0.123558i | \(0.0394304\pi\) | ||||
−0.992337 | + | 0.123558i | \(0.960570\pi\) | |||||||
\(434\) | 0.957160 | − | 1.97177i | 0.0459452 | − | 0.0946481i | ||||
\(435\) | 0.828427 | − | 0.585786i | 0.0397200 | − | 0.0280863i | ||||
\(436\) | 1.91894 | + | 7.16158i | 0.0919005 | + | 0.342977i | ||||
\(437\) | 11.3468 | − | 42.3468i | 0.542790 | − | 2.02572i | ||||
\(438\) | −7.69578 | − | 20.8442i | −0.367719 | − | 0.995974i | ||||
\(439\) | −27.8359 | − | 16.0711i | −1.32854 | − | 0.767030i | −0.343462 | − | 0.939167i | \(-0.611600\pi\) |
−0.985073 | + | 0.172136i | \(0.944933\pi\) | |||||||
\(440\) | −7.24264 | − | 7.24264i | −0.345279 | − | 0.345279i | ||||
\(441\) | −20.5959 | − | 4.09978i | −0.980758 | − | 0.195227i | ||||
\(442\) | 6.46447 | + | 1.29289i | 0.307483 | + | 0.0614967i | ||||
\(443\) | 4.56575 | + | 2.63604i | 0.216925 | + | 0.125242i | 0.604526 | − | 0.796586i | \(-0.293363\pi\) |
−0.387600 | + | 0.921828i | \(0.626696\pi\) | |||||||
\(444\) | 6.29253 | + | 2.89898i | 0.298630 | + | 0.137579i | ||||
\(445\) | 3.65685 | + | 6.33386i | 0.173352 | + | 0.300254i | ||||
\(446\) | −2.50000 | + | 4.33013i | −0.118378 | + | 0.205037i | ||||
\(447\) | 14.4853 | + | 20.4853i | 0.685130 | + | 0.968921i | ||||
\(448\) | −16.6610 | − | 8.08776i | −0.787157 | − | 0.382111i | ||||
\(449\) | 2.00000 | + | 2.00000i | 0.0943858 | + | 0.0943858i | 0.752723 | − | 0.658337i | \(-0.228740\pi\) |
−0.658337 | + | 0.752723i | \(0.728740\pi\) | |||||||
\(450\) | −13.9280 | − | 1.08912i | −0.656574 | − | 0.0513417i | ||||
\(451\) | 16.4853 | + | 28.5533i | 0.776262 | + | 1.34452i | ||||
\(452\) | −4.50000 | − | 7.79423i | −0.211662 | − | 0.366610i | ||||
\(453\) | −34.1990 | + | 3.15111i | −1.60681 | + | 0.148052i | ||||
\(454\) | 6.00000i | 0.281594i | ||||||||
\(455\) | −2.16516 | − | 5.15154i | −0.101504 | − | 0.241508i | ||||
\(456\) | 34.0919 | + | 5.84924i | 1.59650 | + | 0.273916i | ||||
\(457\) | 4.29224 | − | 1.15010i | 0.200782 | − | 0.0537995i | −0.157026 | − | 0.987594i | \(-0.550191\pi\) |
0.357809 | + | 0.933795i | \(0.383524\pi\) | |||||||
\(458\) | −4.77589 | + | 2.75736i | −0.223163 | + | 0.128843i | ||||
\(459\) | 9.49988 | − | 0.131519i | 0.443416 | − | 0.00613879i | ||||
\(460\) | −3.72641 | + | 0.998489i | −0.173745 | + | 0.0465548i | ||||
\(461\) | 28.0711 | − | 28.0711i | 1.30740 | − | 1.30740i | 0.384115 | − | 0.923285i | \(-0.374507\pi\) |
0.923285 | − | 0.384115i | \(-0.125493\pi\) | |||||||
\(462\) | 2.61982 | − | 26.5804i | 0.121885 | − | 1.23663i | ||||
\(463\) | 4.00000 | − | 4.00000i | 0.185896 | − | 0.185896i | −0.608023 | − | 0.793919i | \(-0.708037\pi\) |
0.793919 | + | 0.608023i | \(0.208037\pi\) | |||||||
\(464\) | 0.866025 | + | 0.500000i | 0.0402042 | + | 0.0232119i | ||||
\(465\) | 0.788507 | − | 0.291121i | 0.0365661 | − | 0.0135004i | ||||
\(466\) | −1.29738 | − | 0.347632i | −0.0600999 | − | 0.0161037i | ||||
\(467\) | −11.4853 | + | 19.8931i | −0.531475 | + | 0.920542i | 0.467850 | + | 0.883808i | \(0.345029\pi\) |
−0.999325 | + | 0.0367344i | \(0.988304\pi\) | |||||||
\(468\) | 10.4853 | − | 2.65685i | 0.484682 | − | 0.122813i | ||||
\(469\) | 26.9706 | + | 23.3572i | 1.24538 | + | 1.07853i | ||||
\(470\) | 0.272078 | − | 0.272078i | 0.0125500 | − | 0.0125500i | ||||
\(471\) | 2.43538 | + | 2.02445i | 0.112216 | + | 0.0932816i | ||||
\(472\) | 24.6435 | − | 14.2279i | 1.13431 | − | 0.654893i | ||||
\(473\) | 33.7790 | + | 9.05105i | 1.55316 | + | 0.416168i | ||||
\(474\) | 2.43916 | − | 0.224745i | 0.112034 | − | 0.0103229i | ||||
\(475\) | −21.9203 | + | 21.9203i | −1.00577 | + | 1.00577i | ||||
\(476\) | −4.00548 | + | 2.71259i | −0.183591 | + | 0.124331i | ||||
\(477\) | −8.65685 | + | 24.4853i | −0.396370 | + | 1.12110i | ||||
\(478\) | −5.46783 | − | 3.15685i | −0.250093 | − | 0.144391i | ||||
\(479\) | −7.63135 | + | 28.4806i | −0.348685 | + | 1.30131i | 0.539562 | + | 0.841946i | \(0.318590\pi\) |
−0.888247 | + | 0.459366i | \(0.848077\pi\) | |||||||
\(480\) | −1.75707 | − | 4.75906i | −0.0801988 | − | 0.217220i | ||||
\(481\) | −9.52056 | + | 10.8332i | −0.434100 | + | 0.493953i | ||||
\(482\) | − | 22.2426i | − | 1.01312i | ||||||
\(483\) | −24.5304 | − | 17.5808i | −1.11617 | − | 0.799955i | ||||
\(484\) | −22.9706 | −1.04412 | ||||||||
\(485\) | 2.89949 | − | 5.02207i | 0.131659 | − | 0.228041i | ||||
\(486\) | −13.9722 | + | 6.91215i | −0.633792 | + | 0.313541i | ||||
\(487\) | 2.41818 | − | 9.02479i | 0.109578 | − | 0.408952i | −0.889246 | − | 0.457429i | \(-0.848770\pi\) |
0.998824 | + | 0.0484774i | \(0.0154369\pi\) | |||||||
\(488\) | −2.89778 | + | 0.776457i | −0.131176 | + | 0.0351486i | ||||
\(489\) | 2.17157 | + | 3.07107i | 0.0982019 | + | 0.138878i | ||||
\(490\) | −3.80761 | − | 1.52192i | −0.172010 | − | 0.0687532i | ||||
\(491\) | −9.21320 | −0.415786 | −0.207893 | − | 0.978152i | \(-0.566661\pi\) | ||||
−0.207893 | + | 0.978152i | \(0.566661\pi\) | |||||||
\(492\) | 0.898979 | + | 9.75663i | 0.0405291 | + | 0.439863i | ||||
\(493\) | 1.58346 | − | 0.914214i | 0.0713156 | − | 0.0411741i | ||||
\(494\) | −10.6382 | + | 21.5153i | −0.478633 | + | 0.968019i | ||||
\(495\) | 7.78522 | − | 6.65597i | 0.349920 | − | 0.299164i | ||||
\(496\) | 0.585786 | + | 0.585786i | 0.0263026 | + | 0.0263026i | ||||
\(497\) | −0.568852 | − | 1.64214i | −0.0255165 | − | 0.0736598i | ||||
\(498\) | 7.41421 | + | 1.27208i | 0.332239 | + | 0.0570032i | ||||
\(499\) | 17.7181 | − | 4.74756i | 0.793172 | − | 0.212530i | 0.160588 | − | 0.987022i | \(-0.448661\pi\) |
0.632584 | + | 0.774492i | \(0.281994\pi\) | |||||||
\(500\) | 5.46410 | + | 1.46410i | 0.244362 | + | 0.0654766i | ||||
\(501\) | −34.5626 | − | 15.9231i | −1.54414 | − | 0.711390i | ||||
\(502\) | −0.517638 | − | 1.93185i | −0.0231033 | − | 0.0862228i | ||||
\(503\) | 13.0711i | 0.582810i | 0.956600 | + | 0.291405i | \(0.0941227\pi\) | ||||
−0.956600 | + | 0.291405i | \(0.905877\pi\) | |||||||
\(504\) | 12.0369 | − | 20.5454i | 0.536165 | − | 0.915165i | ||||
\(505\) | 1.65685 | − | 1.65685i | 0.0737290 | − | 0.0737290i | ||||
\(506\) | 19.1924 | − | 33.2422i | 0.853206 | − | 1.47780i | ||||
\(507\) | −0.925417 | + | 22.4976i | −0.0410992 | + | 0.999155i | ||||
\(508\) | −8.07107 | − | 13.9795i | −0.358096 | − | 0.620240i | ||||
\(509\) | −6.91770 | − | 25.8172i | −0.306621 | − | 1.14433i | −0.931541 | − | 0.363637i | \(-0.881535\pi\) |
0.624919 | − | 0.780689i | \(-0.285132\pi\) | |||||||
\(510\) | 1.82843 | + | 0.313708i | 0.0809641 | + | 0.0138912i | ||||
\(511\) | −22.2195 | + | 25.6569i | −0.982932 | + | 1.13499i | ||||
\(512\) | 7.77817 | − | 7.77817i | 0.343750 | − | 0.343750i | ||||
\(513\) | −8.48919 | + | 33.5321i | −0.374807 | + | 1.48048i | ||||
\(514\) | 18.1869 | + | 4.87316i | 0.802188 | + | 0.214946i | ||||
\(515\) | −0.983251 | + | 3.66954i | −0.0433272 | + | 0.161699i | ||||
\(516\) | 7.99171 | + | 6.64324i | 0.351815 | + | 0.292452i | ||||
\(517\) | − | 3.82843i | − | 0.168374i | ||||||
\(518\) | 0.757875 | + | 10.5558i | 0.0332991 | + | 0.463797i | ||||
\(519\) | 4.53553 | − | 26.4350i | 0.199088 | − | 1.16037i | ||||
\(520\) | 6.32311 | − | 0.407797i | 0.277287 | − | 0.0178831i | ||||
\(521\) | 4.72490 | − | 2.72792i | 0.207002 | − | 0.119512i | −0.392916 | − | 0.919575i | \(-0.628534\pi\) |
0.599917 | + | 0.800062i | \(0.295200\pi\) | |||||||
\(522\) | −1.69798 | + | 2.47323i | −0.0743184 | + | 0.108250i | ||||
\(523\) | −4.75736 | + | 8.23999i | −0.208025 | + | 0.360310i | −0.951092 | − | 0.308907i | \(-0.900037\pi\) |
0.743067 | + | 0.669217i | \(0.233370\pi\) | |||||||
\(524\) | −12.8284 | −0.560412 | ||||||||
\(525\) | 8.80597 | + | 19.4388i | 0.384324 | + | 0.848379i | ||||
\(526\) | −14.4853 | − | 14.4853i | −0.631588 | − | 0.631588i | ||||
\(527\) | 1.46311 | − | 0.392038i | 0.0637339 | − | 0.0170774i | ||||
\(528\) | 9.16889 | + | 4.22412i | 0.399025 | + | 0.183831i | ||||
\(529\) | −10.1863 | − | 17.6432i | −0.442882 | − | 0.767095i | ||||
\(530\) | −2.53553 | + | 4.39167i | −0.110137 | + | 0.190762i | ||||
\(531\) | 12.2635 | + | 25.6777i | 0.532189 | + | 1.11432i | ||||
\(532\) | −5.76500 | − | 16.6421i | −0.249945 | − | 0.721528i | ||||
\(533\) | −20.0000 | − | 4.00000i | −0.866296 | − | 0.173259i | ||||
\(534\) | −16.6298 | − | 13.8238i | −0.719641 | − | 0.598214i | ||||
\(535\) | −1.03528 | + | 3.86370i | −0.0447589 | + | 0.167042i | ||||
\(536\) | −35.0358 | + | 20.2279i | −1.51332 | + | 0.873713i | ||||
\(537\) | −2.01753 | − | 1.67711i | −0.0870629 | − | 0.0723725i | ||||
\(538\) | 4.94975 | + | 4.94975i | 0.213399 | + | 0.213399i | ||||
\(539\) | −37.4961 | + | 16.0811i | −1.61507 | + | 0.692661i | ||||
\(540\) | 2.92893 | − | 0.828427i | 0.126041 | − | 0.0356498i | ||||
\(541\) | −8.93622 | − | 33.3504i | −0.384198 | − | 1.43385i | −0.839427 | − | 0.543473i | \(-0.817109\pi\) |
0.455229 | − | 0.890375i | \(-0.349558\pi\) | |||||||
\(542\) | −3.61269 | + | 2.08579i | −0.155178 | + | 0.0895922i | ||||
\(543\) | −5.48437 | − | 14.8545i | −0.235357 | − | 0.637470i | ||||
\(544\) | −2.36616 | − | 8.83062i | −0.101448 | − | 0.378610i | ||||
\(545\) | −4.34315 | −0.186040 | ||||||||
\(546\) | 11.2813 | + | 12.0719i | 0.482797 | + | 0.516631i | ||||
\(547\) | 15.0711 | 0.644392 | 0.322196 | − | 0.946673i | \(-0.395579\pi\) | ||||
0.322196 | + | 0.946673i | \(0.395579\pi\) | |||||||
\(548\) | −2.95422 | − | 11.0253i | −0.126198 | − | 0.470977i | ||||
\(549\) | −0.548188 | − | 2.94949i | −0.0233961 | − | 0.125881i | ||||
\(550\) | −23.5058 | + | 13.5711i | −1.00229 | + | 0.578672i | ||||
\(551\) | 1.72292 | + | 6.43003i | 0.0733989 | + | 0.273928i | ||||
\(552\) | 27.9411 | − | 19.7574i | 1.18925 | − | 0.840929i | ||||
\(553\) | −2.09808 | − | 3.09808i | −0.0892193 | − | 0.131744i | ||||
\(554\) | −2.70711 | − | 2.70711i | −0.115014 | − | 0.115014i | ||||
\(555\) | −2.59435 | + | 3.12096i | −0.110124 | + | 0.132477i | ||||
\(556\) | 2.53653 | − | 1.46447i | 0.107573 | − | 0.0621072i | ||||
\(557\) | −8.47061 | + | 31.6127i | −0.358911 | + | 1.33948i | 0.516579 | + | 0.856239i | \(0.327205\pi\) |
−0.875490 | + | 0.483236i | \(0.839461\pi\) | |||||||
\(558\) | −1.88901 | + | 1.61501i | −0.0799682 | + | 0.0683688i | ||||
\(559\) | −18.0000 | + | 12.0000i | −0.761319 | + | 0.507546i | ||||
\(560\) | 1.01461 | − | 1.17157i | 0.0428752 | − | 0.0495080i | ||||
\(561\) | 15.0711 | − | 10.6569i | 0.636301 | − | 0.449933i | ||||
\(562\) | 5.70711 | − | 9.88500i | 0.240740 | − | 0.416974i | ||||
\(563\) | 1.75736 | + | 3.04384i | 0.0740639 | + | 0.128282i | 0.900679 | − | 0.434486i | \(-0.143070\pi\) |
−0.826615 | + | 0.562768i | \(0.809736\pi\) | |||||||
\(564\) | 0.476052 | − | 1.03332i | 0.0200454 | − | 0.0435106i | ||||
\(565\) | 5.09244 | − | 1.36451i | 0.214240 | − | 0.0574055i | ||||
\(566\) | 12.5858 | + | 12.5858i | 0.529020 | + | 0.529020i | ||||
\(567\) | 19.5445 | + | 13.6019i | 0.820792 | + | 0.571227i | ||||
\(568\) | 1.97056 | 0.0826830 | ||||||||
\(569\) | −21.7426 | + | 37.6594i | −0.911499 | + | 1.57876i | −0.0995511 | + | 0.995032i | \(0.531741\pi\) |
−0.811948 | + | 0.583730i | \(0.801593\pi\) | |||||||
\(570\) | −2.82614 | + | 6.13442i | −0.118374 | + | 0.256943i | ||||
\(571\) | −12.1604 | + | 7.02082i | −0.508897 | + | 0.293812i | −0.732380 | − | 0.680896i | \(-0.761591\pi\) |
0.223483 | + | 0.974708i | \(0.428257\pi\) | |||||||
\(572\) | 13.8725 | − | 15.7852i | 0.580037 | − | 0.660012i | ||||
\(573\) | −28.9706 | − | 4.97056i | −1.21026 | − | 0.207648i | ||||
\(574\) | −12.3923 | + | 8.39230i | −0.517245 | + | 0.350288i | ||||
\(575\) | 30.6690i | 1.27899i | ||||||||
\(576\) | 13.6464 | + | 15.9617i | 0.568601 | + | 0.665070i | ||||
\(577\) | −2.53617 | + | 9.46510i | −0.105582 | + | 0.394037i | −0.998411 | − | 0.0563594i | \(-0.982051\pi\) |
0.892829 | + | 0.450397i | \(0.148717\pi\) | |||||||
\(578\) | −13.1915 | − | 3.53465i | −0.548694 | − | 0.147022i | ||||
\(579\) | 4.87832 | − | 0.449490i | 0.202736 | − | 0.0186802i | ||||
\(580\) | 0.414214 | − | 0.414214i | 0.0171993 | − | 0.0171993i | ||||
\(581\) | −3.76127 | − | 10.8579i | −0.156044 | − | 0.450460i | ||||
\(582\) | −2.89949 | + | 16.8995i | −0.120188 | + | 0.700507i | ||||
\(583\) | 13.0589 | + | 48.7366i | 0.540846 | + | 2.01846i | ||||
\(584\) | −19.2426 | − | 33.3292i | −0.796266 | − | 1.37917i | ||||
\(585\) | −0.0863838 | + | 6.33566i | −0.00357153 | + | 0.261947i | ||||
\(586\) | 6.46447 | − | 11.1968i | 0.267045 | − | 0.462535i | ||||
\(587\) | −23.5355 | + | 23.5355i | −0.971415 | + | 0.971415i | −0.999603 | − | 0.0281872i | \(-0.991027\pi\) |
0.0281872 | + | 0.999603i | \(0.491027\pi\) | |||||||
\(588\) | −12.1201 | − | 0.322117i | −0.499824 | − | 0.0132839i | ||||
\(589\) | 5.51472i | 0.227230i | ||||||||
\(590\) | 1.43809 | + | 5.36702i | 0.0592052 | + | 0.220957i | ||||
\(591\) | 5.12472 | − | 11.1237i | 0.210803 | − | 0.457569i | ||||
\(592\) | −3.86370 | − | 1.03528i | −0.158797 | − | 0.0425496i | ||||
\(593\) | −32.2188 | + | 8.63300i | −1.32307 | + | 0.354515i | −0.850126 | − | 0.526579i | \(-0.823474\pi\) |
−0.472941 | + | 0.881094i | \(0.656808\pi\) | |||||||
\(594\) | −14.7782 | + | 26.4350i | −0.606356 | + | 1.08464i | ||||
\(595\) | −0.927572 | − | 2.67767i | −0.0380267 | − | 0.109774i | ||||
\(596\) | 10.2426 | + | 10.2426i | 0.419555 | + | 0.419555i | ||||
\(597\) | 16.6868 | − | 20.0739i | 0.682945 | − | 0.821571i | ||||
\(598\) | 7.60918 | + | 22.4932i | 0.311163 | + | 0.919815i | ||||
\(599\) | 21.7122 | − | 12.5355i | 0.887136 | − | 0.512188i | 0.0141312 | − | 0.999900i | \(-0.495502\pi\) |
0.873005 | + | 0.487712i | \(0.162168\pi\) | |||||||
\(600\) | −24.0957 | + | 2.22018i | −0.983701 | + | 0.0906386i | ||||
\(601\) | 45.2843 | 1.84718 | 0.923592 | − | 0.383377i | \(-0.125239\pi\) | ||||
0.923592 | + | 0.383377i | \(0.125239\pi\) | |||||||
\(602\) | −3.00000 | + | 15.5885i | −0.122271 | + | 0.635338i | ||||
\(603\) | −17.4350 | − | 36.5061i | −0.710009 | − | 1.48664i | ||||
\(604\) | −19.1528 | + | 5.13197i | −0.779316 | + | 0.208817i | ||||
\(605\) | 3.48263 | − | 12.9973i | 0.141589 | − | 0.528417i | ||||
\(606\) | −2.89898 | + | 6.29253i | −0.117763 | + | 0.255617i | ||||
\(607\) | −11.4853 | + | 19.8931i | −0.466173 | + | 0.807436i | −0.999254 | − | 0.0386289i | \(-0.987701\pi\) |
0.533080 | + | 0.846065i | \(0.321034\pi\) | |||||||
\(608\) | 33.2843 | 1.34986 | ||||||||
\(609\) | 4.56048 | + | 0.449490i | 0.184800 | + | 0.0182142i | ||||
\(610\) | − | 0.585786i | − | 0.0237178i | ||||||
\(611\) | 1.77896 | + | 1.56340i | 0.0719692 | + | 0.0632486i | ||||
\(612\) | 5.39293 | − | 1.00232i | 0.217996 | − | 0.0405165i | ||||
\(613\) | 1.58970 | − | 5.93285i | 0.0642074 | − | 0.239625i | −0.926363 | − | 0.376633i | \(-0.877082\pi\) |
0.990570 | + | 0.137008i | \(0.0437485\pi\) | |||||||
\(614\) | −4.33013 | − | 2.50000i | −0.174750 | − | 0.100892i | ||||
\(615\) | −5.65685 | − | 0.970563i | −0.228106 | − | 0.0391369i | ||||
\(616\) | −3.31291 | − | 46.1429i | −0.133481 | − | 1.85915i | ||||
\(617\) | 7.07107 | − | 7.07107i | 0.284670 | − | 0.284670i | −0.550298 | − | 0.834968i | \(-0.685486\pi\) |
0.834968 | + | 0.550298i | \(0.185486\pi\) | |||||||
\(618\) | −1.03063 | − | 11.1855i | −0.0414581 | − | 0.449945i | ||||
\(619\) | −21.7191 | − | 5.81962i | −0.872965 | − | 0.233910i | −0.205595 | − | 0.978637i | \(-0.565913\pi\) |
−0.667369 | + | 0.744727i | \(0.732580\pi\) | |||||||
\(620\) | 0.420266 | − | 0.242641i | 0.0168783 | − | 0.00974468i | ||||
\(621\) | 17.5190 | + | 29.3963i | 0.703013 | + | 1.17963i | ||||
\(622\) | 1.31371 | − | 1.31371i | 0.0526749 | − | 0.0526749i | ||||
\(623\) | −6.24264 | + | 32.4377i | −0.250106 | + | 1.29959i | ||||
\(624\) | −5.70711 | + | 2.53553i | −0.228467 | + | 0.101503i | ||||
\(625\) | 9.98528 | − | 17.2950i | 0.399411 | − | 0.691801i | ||||
\(626\) | 22.8508 | + | 6.12284i | 0.913300 | + | 0.244718i | ||||
\(627\) | 23.2755 | + | 63.0423i | 0.929535 | + | 2.51767i | ||||
\(628\) | 1.58346 | + | 0.914214i | 0.0631871 | + | 0.0364811i | ||||
\(629\) | −5.17157 | + | 5.17157i | −0.206204 | + | 0.206204i | ||||
\(630\) | 3.26673 | + | 3.30857i | 0.130150 | + | 0.131817i | ||||
\(631\) | 13.0711 | − | 13.0711i | 0.520351 | − | 0.520351i | −0.397326 | − | 0.917677i | \(-0.630062\pi\) |
0.917677 | + | 0.397326i | \(0.130062\pi\) | |||||||
\(632\) | 4.09808 | − | 1.09808i | 0.163013 | − | 0.0436791i | ||||
\(633\) | −24.4881 | + | 9.04114i | −0.973316 | + | 0.359353i | ||||
\(634\) | 14.6609 | − | 8.46447i | 0.582258 | − | 0.336167i | ||||
\(635\) | 9.13364 | − | 2.44735i | 0.362458 | − | 0.0971202i | ||||
\(636\) | −2.53553 | + | 14.7782i | −0.100540 | + | 0.585993i | ||||
\(637\) | 7.83975 | − | 23.9904i | 0.310622 | − | 0.950534i | ||||
\(638\) | 5.82843i | 0.230750i | ||||||||
\(639\) | −0.153622 | + | 1.96457i | −0.00607718 | + | 0.0777170i | ||||
\(640\) | −0.878680 | − | 1.52192i | −0.0347329 | − | 0.0601591i | ||||
\(641\) | 12.1421 | + | 21.0308i | 0.479586 | + | 0.830666i | 0.999726 | − | 0.0234143i | \(-0.00745369\pi\) |
−0.520140 | + | 0.854081i | \(0.674120\pi\) | |||||||
\(642\) | −1.08516 | − | 11.7773i | −0.0428280 | − | 0.464813i | ||||
\(643\) | 7.67767 | + | 7.67767i | 0.302778 | + | 0.302778i | 0.842100 | − | 0.539322i | \(-0.181319\pi\) |
−0.539322 | + | 0.842100i | \(0.681319\pi\) | |||||||
\(644\) | −15.6751 | − | 7.60918i | −0.617685 | − | 0.299844i | ||||
\(645\) | −4.97056 | + | 3.51472i | −0.195716 | + | 0.138392i | ||||
\(646\) | −6.08579 | + | 10.5409i | −0.239442 | + | 0.414726i | ||||
\(647\) | 21.0919 | + | 36.5322i | 0.829207 | + | 1.43623i | 0.898661 | + | 0.438644i | \(0.144541\pi\) |
−0.0694533 | + | 0.997585i | \(0.522125\pi\) | |||||||
\(648\) | −21.8275 | + | 15.8921i | −0.857465 | + | 0.624302i | ||||
\(649\) | 47.8776 | + | 27.6421i | 1.87936 | + | 1.08505i | ||||
\(650\) | 3.29289 | − | 16.4645i | 0.129158 | − | 0.645789i | ||||
\(651\) | 3.55291 | + | 1.33751i | 0.139250 | + | 0.0524210i | ||||
\(652\) | 1.53553 | + | 1.53553i | 0.0601361 | + | 0.0601361i | ||||
\(653\) | −27.5387 | − | 15.8995i | −1.07767 | − | 0.622195i | −0.147406 | − | 0.989076i | \(-0.547092\pi\) |
−0.930268 | + | 0.366881i | \(0.880426\pi\) | |||||||
\(654\) | 12.0469 | − | 4.44779i | 0.471073 | − | 0.173922i | ||||
\(655\) | 1.94495 | − | 7.25866i | 0.0759956 | − | 0.283619i | ||||
\(656\) | −1.46410 | − | 5.46410i | −0.0571636 | − | 0.213337i | ||||
\(657\) | 34.7279 | − | 16.5858i | 1.35487 | − | 0.647073i | ||||
\(658\) | 1.73341 | − | 0.124453i | 0.0675754 | − | 0.00485170i | ||||
\(659\) | 21.0711i | 0.820812i | 0.911903 | + | 0.410406i | \(0.134613\pi\) | ||||
−0.911903 | + | 0.410406i | \(0.865387\pi\) | |||||||
\(660\) | 3.78024 | − | 4.54757i | 0.147146 | − | 0.177014i | ||||
\(661\) | −22.3252 | − | 5.98201i | −0.868348 | − | 0.232673i | −0.202975 | − | 0.979184i | \(-0.565061\pi\) |
−0.665373 | + | 0.746511i | \(0.731728\pi\) | |||||||
\(662\) | −11.7279 | − | 20.3134i | −0.455819 | − | 0.789501i | ||||
\(663\) | −1.20259 | + | 11.3550i | −0.0467046 | + | 0.440992i | ||||
\(664\) | 13.0294 | 0.505640 | ||||||||
\(665\) | 10.2906 | − | 0.738832i | 0.399053 | − | 0.0286507i | ||||
\(666\) | 4.00000 | − | 11.3137i | 0.154997 | − | 0.438397i | ||||
\(667\) | 5.70346 | + | 3.29289i | 0.220839 | + | 0.127501i | ||||
\(668\) | −21.2219 | − | 5.68640i | −0.821101 | − | 0.220013i | ||||
\(669\) | −7.86566 | − | 3.62372i | −0.304104 | − | 0.140101i | ||||
\(670\) | −2.04454 | − | 7.63033i | −0.0789875 | − | 0.294785i | ||||
\(671\) | −4.12132 | − | 4.12132i | −0.159102 | − | 0.159102i | ||||
\(672\) | 8.07256 | − | 21.4437i | 0.311406 | − | 0.827210i | ||||
\(673\) | − | 9.85786i | − | 0.379993i | −0.981785 | − | 0.189996i | \(-0.939152\pi\) | ||
0.981785 | − | 0.189996i | \(-0.0608476\pi\) | |||||||
\(674\) | 16.5580 | − | 4.43671i | 0.637792 | − | 0.170896i | ||||
\(675\) | −0.334968 | − | 24.1954i | −0.0128929 | − | 0.931282i | ||||
\(676\) | 1.66987 | + | 12.8923i | 0.0642259 | + | 0.495858i | ||||
\(677\) | 22.4912 | + | 12.9853i | 0.864406 | + | 0.499065i | 0.865485 | − | 0.500935i | \(-0.167010\pi\) |
−0.00107942 | + | 0.999999i | \(0.500344\pi\) | |||||||
\(678\) | −12.7279 | + | 9.00000i | −0.488813 | + | 0.345643i | ||||
\(679\) | 24.7487 | − | 8.57321i | 0.949769 | − | 0.329010i | ||||
\(680\) | 3.21320 | 0.123221 | ||||||||
\(681\) | −10.3485 | + | 0.953512i | −0.396554 | + | 0.0365386i | ||||
\(682\) | −1.24969 | + | 4.66390i | −0.0478531 | + | 0.178590i | ||||
\(683\) | 13.0145 | − | 48.5709i | 0.497987 | − | 1.85851i | −0.0146258 | − | 0.999893i | \(-0.504656\pi\) |
0.512613 | − | 0.858620i | \(-0.328678\pi\) | |||||||
\(684\) | −1.55687 | + | 19.9098i | −0.0595285 | + | 0.761270i | ||||
\(685\) | 6.68629 | 0.255470 | ||||||||
\(686\) | −8.50000 | − | 16.4545i | −0.324532 | − | 0.628235i | ||||
\(687\) | −5.51472 | − | 7.79899i | −0.210400 | − | 0.297550i | ||||
\(688\) | −5.19615 | − | 3.00000i | −0.198101 | − | 0.114374i | ||||
\(689\) | −27.9794 | − | 13.8343i | −1.06593 | − | 0.527045i | ||||
\(690\) | 2.31433 | + | 6.26843i | 0.0881052 | + | 0.238635i | ||||
\(691\) | 9.82498 | − | 2.63260i | 0.373760 | − | 0.100149i | −0.0670488 | − | 0.997750i | \(-0.521358\pi\) |
0.440809 | + | 0.897601i | \(0.354692\pi\) | |||||||
\(692\) | − | 15.4853i | − | 0.588662i | ||||||
\(693\) | 46.2608 | + | 0.294395i | 1.75730 | + | 0.0111832i | ||||
\(694\) | −3.31371 | − | 3.31371i | −0.125787 | − | 0.125787i | ||||
\(695\) | 0.444063 | + | 1.65727i | 0.0168443 | + | 0.0628637i | ||||
\(696\) | −2.17423 | + | 4.71940i | −0.0824142 | + | 0.178888i | ||||
\(697\) | −9.99071 | − | 2.67700i | −0.378425 | − | 0.101399i | ||||
\(698\) | −3.67423 | − | 2.12132i | −0.139072 | − | 0.0802932i | ||||
\(699\) | 0.393398 | − | 2.29289i | 0.0148797 | − | 0.0867252i | ||||
\(700\) | 6.90874 | + | 10.2016i | 0.261126 | + | 0.385586i | ||||
\(701\) | −36.2843 | −1.37044 | −0.685219 | − | 0.728337i | \(-0.740294\pi\) | ||||
−0.685219 | + | 0.728337i | \(0.740294\pi\) | |||||||
\(702\) | −6.24870 | − | 17.6622i | −0.235842 | − | 0.666617i | ||||
\(703\) | −13.3137 | − | 23.0600i | −0.502136 | − | 0.869725i | ||||
\(704\) | 39.4088 | + | 10.5596i | 1.48527 | + | 0.397978i | ||||
\(705\) | 0.512503 | + | 0.426027i | 0.0193020 | + | 0.0160451i | ||||
\(706\) | 7.17157i | 0.269906i | ||||||||
\(707\) | 10.5558 | − | 0.757875i | 0.396993 | − | 0.0285028i | ||||
\(708\) | 9.48528 | + | 13.4142i | 0.356479 | + | 0.504137i | ||||
\(709\) | 5.89319 | + | 21.9937i | 0.221324 | + | 0.825991i | 0.983844 | + | 0.179027i | \(0.0572949\pi\) |
−0.762521 | + | 0.646964i | \(0.776038\pi\) | |||||||
\(710\) | −0.0995874 | + | 0.371665i | −0.00373745 | + | 0.0139484i | ||||
\(711\) | 0.775255 | + | 4.17121i | 0.0290743 | + | 0.156433i | ||||
\(712\) | −32.4377 | − | 18.7279i | −1.21565 | − | 0.701859i | ||||
\(713\) | 3.85786 | + | 3.85786i | 0.144478 | + | 0.144478i | ||||
\(714\) | 5.31507 | + | 6.47735i | 0.198911 | + | 0.242409i | ||||
\(715\) | 6.82843 | + | 10.2426i | 0.255369 | + | 0.383053i | ||||
\(716\) | −1.31178 | − | 0.757359i | −0.0490237 | − | 0.0283038i | ||||
\(717\) | 4.57583 | − | 9.93230i | 0.170887 | − | 0.370928i | ||||
\(718\) | −11.2426 | − | 19.4728i | −0.419572 | − | 0.726719i | ||||
\(719\) | 11.9706 | − | 20.7336i | 0.446427 | − | 0.773234i | −0.551724 | − | 0.834027i | \(-0.686030\pi\) |
0.998150 | + | 0.0607933i | \(0.0193630\pi\) | |||||||
\(720\) | −1.58579 | + | 0.757359i | −0.0590988 | + | 0.0282251i | ||||
\(721\) | −14.2071 | + | 9.62133i | −0.529101 | + | 0.358317i | ||||
\(722\) | −17.8995 | − | 17.8995i | −0.666150 | − | 0.666150i | ||||
\(723\) | 38.3629 | − | 3.53477i | 1.42673 | − | 0.131460i | ||||
\(724\) | −4.57107 | − | 7.91732i | −0.169882 | − | 0.294245i | ||||
\(725\) | −2.32843 | − | 4.03295i | −0.0864756 | − | 0.149780i | ||||
\(726\) | 3.65045 | + | 39.6184i | 0.135481 | + | 1.47038i | ||||
\(727\) | − | 9.07107i | − | 0.336427i | −0.985751 | − | 0.168214i | \(-0.946200\pi\) | ||
0.985751 | − | 0.168214i | \(-0.0537998\pi\) | |||||||
\(728\) | 22.7942 | + | 17.3038i | 0.844810 | + | 0.641323i | ||||
\(729\) | −14.1421 | − | 23.0000i | −0.523783 | − | 0.851852i | ||||
\(730\) | 7.25866 | − | 1.94495i | 0.268655 | − | 0.0719859i | ||||
\(731\) | −9.50079 | + | 5.48528i | −0.351399 | + | 0.202880i | ||||
\(732\) | −0.599900 | − | 1.62484i | −0.0221730 | − | 0.0600560i | ||||
\(733\) | −8.89927 | + | 2.38455i | −0.328702 | + | 0.0880755i | −0.419396 | − | 0.907803i | \(-0.637758\pi\) |
0.0906940 | + | 0.995879i | \(0.471091\pi\) | |||||||
\(734\) | −10.1716 | + | 10.1716i | −0.375440 | + | 0.375440i | ||||
\(735\) | 2.01982 | − | 6.80902i | 0.0745022 | − | 0.251154i | ||||
\(736\) | 23.2843 | − | 23.2843i | 0.858270 | − | 0.858270i | ||||
\(737\) | −68.0678 | − | 39.2990i | −2.50731 | − | 1.44760i | ||||
\(738\) | 16.6848 | − | 3.10102i | 0.614177 | − | 0.114150i | ||||
\(739\) | −2.40060 | − | 0.643238i | −0.0883074 | − | 0.0236619i | 0.214395 | − | 0.976747i | \(-0.431222\pi\) |
−0.302702 | + | 0.953085i | \(0.597889\pi\) | |||||||
\(740\) | −1.17157 | + | 2.02922i | −0.0430679 | + | 0.0745957i | ||||
\(741\) | −38.7990 | − | 14.9289i | −1.42532 | − | 0.548428i | ||||
\(742\) | −21.6421 | + | 7.49706i | −0.794508 | + | 0.275226i | ||||
\(743\) | 4.60660 | − | 4.60660i | 0.169000 | − | 0.169000i | −0.617540 | − | 0.786540i | \(-0.711871\pi\) |
0.786540 | + | 0.617540i | \(0.211871\pi\) | |||||||
\(744\) | −2.75172 | + | 3.31027i | −0.100883 | + | 0.121361i | ||||
\(745\) | −7.34847 | + | 4.24264i | −0.269227 | + | 0.155438i | ||||
\(746\) | 22.0221 | + | 5.90081i | 0.806288 | + | 0.216044i | ||||
\(747\) | −1.01575 | + | 12.9898i | −0.0371645 | + | 0.475271i | ||||
\(748\) | 7.53553 | − | 7.53553i | 0.275526 | − | 0.275526i | ||||
\(749\) | −14.9588 | + | 10.1304i | −0.546584 | + | 0.370157i | ||||
\(750\) | 1.65685 | − | 9.65685i | 0.0604998 | − | 0.352618i | ||||
\(751\) | −12.1604 | − | 7.02082i | −0.443740 | − | 0.256193i | 0.261443 | − | 0.965219i | \(-0.415802\pi\) |
−0.705183 | + | 0.709026i | \(0.749135\pi\) | |||||||
\(752\) | −0.170006 | + | 0.634472i | −0.00619950 | + | 0.0231368i | ||||
\(753\) | 3.24969 | − | 1.19980i | 0.118425 | − | 0.0437232i | ||||
\(754\) | −2.70831 | − | 2.38014i | −0.0986308 | − | 0.0866796i | ||||
\(755\) | − | 11.6152i | − | 0.422721i | ||||||
\(756\) | 12.4495 | + | 5.83183i | 0.452784 | + | 0.212101i | ||||
\(757\) | −11.1421 | −0.404968 | −0.202484 | − | 0.979286i | \(-0.564901\pi\) | ||||
−0.202484 | + | 0.979286i | \(0.564901\pi\) | |||||||
\(758\) | −0.656854 | + | 1.13770i | −0.0238580 | + | 0.0413233i | ||||
\(759\) | 60.3843 | + | 27.8192i | 2.19181 | + | 1.00977i | ||||
\(760\) | −3.02779 | + | 11.2999i | −0.109830 | + | 0.409889i | ||||
\(761\) | 24.3139 | − | 6.51488i | 0.881377 | − | 0.236164i | 0.210376 | − | 0.977621i | \(-0.432531\pi\) |
0.671001 | + | 0.741456i | \(0.265865\pi\) | |||||||
\(762\) | −22.8284 | + | 16.1421i | −0.826987 | + | 0.584768i | ||||
\(763\) | −14.8284 | − | 12.8418i | −0.536825 | − | 0.464904i | ||||
\(764\) | −16.9706 | −0.613973 | ||||||||
\(765\) | −0.250496 | + | 3.20342i | −0.00905670 | + | 0.115820i | ||||
\(766\) | 6.21076 | − | 3.58579i | 0.224404 | − | 0.129560i | ||||
\(767\) | −32.3962 | + | 10.9592i | −1.16976 | + | 0.395715i | ||||
\(768\) | 22.6432 | + | 18.8225i | 0.817065 | + | 0.679199i | ||||
\(769\) | −9.21320 | − | 9.21320i | −0.332237 | − | 0.332237i | 0.521199 | − | 0.853435i | \(-0.325485\pi\) |
−0.853435 | + | 0.521199i | \(0.825485\pi\) | |||||||
\(770\) | 8.87039 | + | 1.70711i | 0.319667 | + | 0.0615199i | ||||
\(771\) | −5.51472 | + | 32.1421i | −0.198608 | + | 1.15757i | ||||
\(772\) | 2.73205 | − | 0.732051i | 0.0983287 | − | 0.0263471i | ||||
\(773\) | 39.7118 | + | 10.6407i | 1.42833 | + | 0.382721i | 0.888433 | − | 0.459007i | \(-0.151795\pi\) |
0.539902 | + | 0.841728i | \(0.318461\pi\) | |||||||
\(774\) | 10.1879 | − | 14.8394i | 0.366195 | − | 0.533391i | ||||
\(775\) | −0.998489 | − | 3.72641i | −0.0358668 | − | 0.133857i | ||||
\(776\) | 29.6985i | 1.06611i | ||||||||
\(777\) | −18.0857 | + | 2.98466i | −0.648820 | + | 0.107074i | ||||
\(778\) | 6.60660 | − | 6.60660i | 0.236858 | − | 0.236858i | ||||
\(779\) | 18.8284 | − | 32.6118i | 0.674598 | − | 1.16844i | ||||
\(780\) | 0.569402 | + | 3.61365i | 0.0203879 | + | 0.129389i | ||||
\(781\) | 1.91421 | + | 3.31552i | 0.0684959 | + | 0.118638i | ||||
\(782\) | 3.11660 | + | 11.6313i | 0.111450 | + | 0.415935i | ||||
\(783\) | −4.53553 | − | 2.53553i | −0.162087 | − | 0.0906126i | ||||
\(784\) | 6.92820 | − | 1.00000i | 0.247436 | − | 0.0357143i | ||||
\(785\) | −0.757359 | + | 0.757359i | −0.0270313 | + | 0.0270313i | ||||
\(786\) | 2.03868 | + | 22.1258i | 0.0727172 | + | 0.789200i | ||||
\(787\) | −25.9427 | − | 6.95133i | −0.924758 | − | 0.247788i | −0.235140 | − | 0.971962i | \(-0.575555\pi\) |
−0.689618 | + | 0.724174i | \(0.742221\pi\) | |||||||
\(788\) | 1.83013 | − | 6.83013i | 0.0651956 | − | 0.243313i | ||||
\(789\) | 22.6814 | − | 27.2854i | 0.807480 | − | 0.971386i | ||||
\(790\) | 0.828427i | 0.0294741i | ||||||||
\(791\) | 21.4213 | + | 10.3986i | 0.761652 | + | 0.369730i | ||||
\(792\) | −17.4853 | + | 49.4558i | −0.621312 | + | 1.75734i | ||||
\(793\) | 3.59808 | − | 0.232051i | 0.127771 | − | 0.00824037i | ||||
\(794\) | 24.3718 | − | 14.0711i | 0.864923 | − | 0.499364i | ||||
\(795\) | −7.97746 | − | 3.67523i | −0.282931 | − | 0.130347i | ||||
\(796\) | 7.53553 | − | 13.0519i | 0.267090 | − | 0.462613i | ||||
\(797\) | −10.2843 | −0.364288 | −0.182144 | − | 0.983272i | \(-0.558304\pi\) | ||||
−0.182144 | + | 0.983272i | \(0.558304\pi\) | |||||||
\(798\) | −27.7873 | + | 12.5879i | −0.983659 | + | 0.445607i | ||||
\(799\) | 0.849242 | + | 0.849242i | 0.0300440 | + | 0.0300440i | ||||
\(800\) | −22.4909 | + | 6.02641i | −0.795173 | + | 0.213066i | ||||
\(801\) | 21.1997 | − | 30.8790i | 0.749055 | − | 1.09106i | ||||
\(802\) | −6.12132 | − | 10.6024i | −0.216151 | − | 0.374385i | ||||
\(803\) | 37.3848 | − | 64.7523i | 1.31928 | − | 2.28506i | ||||
\(804\) | −13.4853 | − | 19.0711i | −0.475589 | − | 0.672585i | ||||
\(805\) | 6.68202 | − | 7.71573i | 0.235510 | − | 0.271944i | ||||
\(806\) | −1.65685 | − | 2.48528i | −0.0583602 | − | 0.0875403i | ||||
\(807\) | −7.75044 | + | 9.32366i | −0.272829 | + | 0.328208i | ||||
\(808\) | −3.10583 | + | 11.5911i | −0.109263 | + | 0.407774i | ||||
\(809\) | 39.3404 | − | 22.7132i | 1.38314 | − | 0.798554i | 0.390606 | − | 0.920558i | \(-0.372265\pi\) |
0.992530 | + | 0.122004i | \(0.0389322\pi\) | |||||||
\(810\) | −1.89429 | − | 4.92001i | −0.0665585 | − | 0.172871i | ||||
\(811\) | −6.92893 | − | 6.92893i | −0.243308 | − | 0.243308i | 0.574909 | − | 0.818217i | \(-0.305037\pi\) |
−0.818217 | + | 0.574909i | \(0.805037\pi\) | |||||||
\(812\) | 2.63896 | − | 0.189469i | 0.0926093 | − | 0.00664905i | ||||
\(813\) | −4.17157 | − | 5.89949i | −0.146303 | − | 0.206904i | ||||
\(814\) | −6.03403 | − | 22.5193i | −0.211493 | − | 0.789302i | ||||
\(815\) | −1.10165 | + | 0.636039i | −0.0385892 | + | 0.0222795i | ||||
\(816\) | −2.97091 | + | 1.09687i | −0.104003 | + | 0.0383983i | ||||
\(817\) | −10.3375 | − | 38.5802i | −0.361664 | − | 1.34975i | ||||
\(818\) | −26.7279 | −0.934520 | ||||||||
\(819\) | −19.0282 | + | 21.3759i | −0.664899 | + | 0.746934i | ||||
\(820\) | −3.31371 | −0.115720 | ||||||||
\(821\) | 7.22092 | + | 26.9488i | 0.252012 | + | 0.940521i | 0.969728 | + | 0.244186i | \(0.0785207\pi\) |
−0.717717 | + | 0.696335i | \(0.754813\pi\) | |||||||
\(822\) | −18.5463 | + | 6.84739i | −0.646877 | + | 0.238830i | ||||
\(823\) | 0.420266 | − | 0.242641i | 0.0146496 | − | 0.00845792i | −0.492657 | − | 0.870223i | \(-0.663974\pi\) |
0.507307 | + | 0.861765i | \(0.330641\pi\) | |||||||
\(824\) | −5.03554 | − | 18.7929i | −0.175421 | − | 0.654682i | ||||
\(825\) | −27.1421 | − | 38.3848i | −0.944968 | − | 1.33639i | ||||
\(826\) | −10.9592 | + | 22.5763i | −0.381321 | + | 0.785530i | ||||
\(827\) | 15.6777 | + | 15.6777i | 0.545166 | + | 0.545166i | 0.925039 | − | 0.379873i | \(-0.124032\pi\) |
−0.379873 | + | 0.925039i | \(0.624032\pi\) | |||||||
\(828\) | 12.8389 | + | 15.0172i | 0.446183 | + | 0.521883i | ||||
\(829\) | −35.6301 | + | 20.5711i | −1.23749 | + | 0.714463i | −0.968580 | − | 0.248704i | \(-0.919995\pi\) |
−0.268906 | + | 0.963166i | \(0.586662\pi\) | |||||||
\(830\) | −0.658476 | + | 2.45747i | −0.0228560 | + | 0.0852999i | ||||
\(831\) | 4.23886 | − | 5.09928i | 0.147044 | − | 0.176892i | ||||
\(832\) | −21.0000 | + | 14.0000i | −0.728044 | + | 0.485363i | ||||
\(833\) | 4.75039 | − | 11.8848i | 0.164591 | − | 0.411783i | ||||
\(834\) | −2.92893 | − | 4.14214i | −0.101421 | − | 0.143430i | ||||
\(835\) | 6.43503 | − | 11.1458i | 0.222693 | − | 0.385716i | ||||
\(836\) | 19.3995 | + | 33.6009i | 0.670946 | + | 1.16211i | ||||
\(837\) | −3.08568 | − | 3.00141i | −0.106657 | − | 0.103744i | ||||
\(838\) | 16.3521 | − | 4.38153i | 0.564874 | − | 0.151357i | ||||
\(839\) | 11.3934 | + | 11.3934i | 0.393344 | + | 0.393344i | 0.875877 | − | 0.482534i | \(-0.160283\pi\) |
−0.482534 | + | 0.875877i | \(0.660283\pi\) | |||||||
\(840\) | 6.54572 | + | 4.69129i | 0.225849 | + | 0.161865i | ||||
\(841\) | 28.0000 | 0.965517 | ||||||||
\(842\) | −7.82843 | + | 13.5592i | −0.269785 | + | 0.467282i | ||||
\(843\) | 17.9561 | + | 8.27239i | 0.618440 | + | 0.284916i | ||||
\(844\) | −13.0519 | + | 7.53553i | −0.449266 | + | 0.259384i | ||||
\(845\) | −7.54798 | − | 1.00978i | −0.259658 | − | 0.0347375i | ||||
\(846\) | −1.85786 | − | 0.656854i | −0.0638747 | − | 0.0225831i | ||||
\(847\) | 50.3209 | − | 34.0783i | 1.72905 | − | 1.17094i | ||||
\(848\) | − | 8.65685i | − | 0.297278i | ||||||
\(849\) | −19.7072 | + | 23.7074i | −0.676348 | + | 0.813635i | ||||
\(850\) | 2.20377 | − | 8.22459i | 0.0755887 | − | 0.282101i | ||||
\(851\) | −25.4455 | − | 6.81811i | −0.872261 | − | 0.233722i | ||||
\(852\) | 0.104386 | + | 1.13291i | 0.00357622 | + | 0.0388127i | ||||
\(853\) | −3.07107 | + | 3.07107i | −0.105151 | + | 0.105151i | −0.757725 | − | 0.652574i | \(-0.773689\pi\) |
0.652574 | + | 0.757725i | \(0.273689\pi\) | |||||||
\(854\) | 1.73205 | − | 2.00000i | 0.0592696 | − | 0.0684386i | ||||
\(855\) | −11.0294 | − | 3.89949i | −0.377199 | − | 0.133360i | ||||
\(856\) | −5.30198 | − | 19.7873i | −0.181218 | − | 0.676315i | ||||
\(857\) | −25.2990 | − | 43.8191i | −0.864197 | − | 1.49683i | −0.867842 | − | 0.496840i | \(-0.834494\pi\) |
0.00364524 | − | 0.999993i | \(-0.498840\pi\) | |||||||
\(858\) | −29.4300 | − | 21.4179i | −1.00472 | − | 0.731195i | ||||
\(859\) | 9.89949 | − | 17.1464i | 0.337766 | − | 0.585029i | −0.646246 | − | 0.763129i | \(-0.723662\pi\) |
0.984012 | + | 0.178101i | \(0.0569953\pi\) | |||||||
\(860\) | −2.48528 | + | 2.48528i | −0.0847474 | + | 0.0847474i | ||||
\(861\) | −16.4440 | − | 20.0399i | −0.560408 | − | 0.682957i | ||||
\(862\) | − | 15.1716i | − | 0.516746i | ||||||
\(863\) | 12.8369 | + | 47.9080i | 0.436973 | + | 1.63081i | 0.736300 | + | 0.676656i | \(0.236571\pi\) |
−0.299327 | + | 0.954151i | \(0.596762\pi\) | |||||||
\(864\) | −18.1151 | + | 18.6237i | −0.616288 | + | 0.633592i | ||||
\(865\) | 8.76198 | + | 2.34777i | 0.297916 | + | 0.0798264i | ||||
\(866\) | 4.96692 | − | 1.33088i | 0.168783 | − | 0.0452252i | ||||
\(867\) | 4.00000 | − | 23.3137i | 0.135847 | − | 0.791775i | ||||
\(868\) | 2.15232 | + | 0.414214i | 0.0730544 | + | 0.0140593i | ||||
\(869\) | 5.82843 | + | 5.82843i | 0.197716 | + | 0.197716i | ||||
\(870\) | −0.780239 | − | 0.648586i | −0.0264526 | − | 0.0219891i | ||||
\(871\) | 46.0578 | − | 15.5808i | 1.56061 | − | 0.527936i | ||||
\(872\) | 19.2627 | − | 11.1213i | 0.652317 | − | 0.376615i | ||||
\(873\) | −29.6081 | − | 2.31524i | −1.00208 | − | 0.0783592i | ||||
\(874\) | −43.8406 | −1.48293 | ||||||||
\(875\) | −14.1421 | + | 4.89898i | −0.478091 | + | 0.165616i | ||||
\(876\) | 18.1421 | − | 12.8284i | 0.612966 | − | 0.433432i | ||||
\(877\) | −33.1729 | + | 8.88866i | −1.12017 | + | 0.300149i | −0.770952 | − | 0.636893i | \(-0.780219\pi\) |
−0.349218 | + | 0.937042i | \(0.613553\pi\) | |||||||
\(878\) | −8.31900 | + | 31.0469i | −0.280753 | + | 1.04778i | ||||
\(879\) | 20.3389 | + | 9.37018i | 0.686015 | + | 0.316048i | ||||
\(880\) | −1.70711 | + | 2.95680i | −0.0575466 | + | 0.0996736i | ||||
\(881\) | 2.00000 | 0.0673817 | 0.0336909 | − | 0.999432i | \(-0.489274\pi\) | ||||
0.0336909 | + | 0.999432i | \(0.489274\pi\) | |||||||
\(882\) | 1.37054 | + | 20.9552i | 0.0461484 | + | 0.705599i | ||||
\(883\) | 10.1421i | 0.341310i | 0.985331 | + | 0.170655i | \(0.0545884\pi\) | ||||
−0.985331 | + | 0.170655i | \(0.945412\pi\) | |||||||
\(884\) | 0.424288 | + | 6.57882i | 0.0142703 | + | 0.221270i | ||||
\(885\) | −9.02820 | + | 3.33326i | −0.303480 | + | 0.112046i | ||||
\(886\) | 1.36451 | − | 5.09244i | 0.0458418 | − | 0.171084i | ||||
\(887\) | 21.7482 | + | 12.5563i | 0.730234 | + | 0.421601i | 0.818508 | − | 0.574495i | \(-0.194802\pi\) |
−0.0882736 | + | 0.996096i | \(0.528135\pi\) | |||||||
\(888\) | 3.51472 | − | 20.4853i | 0.117946 | − | 0.687441i | ||||
\(889\) | 38.4205 | + | 18.6505i | 1.28858 | + | 0.625519i | ||||
\(890\) | 5.17157 | − | 5.17157i | 0.173352 | − | 0.173352i | ||||
\(891\) | −47.9422 | − | 21.2876i | −1.60612 | − | 0.713160i | ||||
\(892\) | −4.82963 | − | 1.29410i | −0.161708 | − | 0.0433295i | ||||
\(893\) | −3.78677 | + | 2.18629i | −0.126719 | + | 0.0731615i | ||||
\(894\) | 16.0382 | − | 19.2937i | 0.536398 | − | 0.645277i | ||||
\(895\) | 0.627417 | − | 0.627417i | 0.0209722 | − | 0.0209722i | ||||
\(896\) | 1.50000 | − | 7.79423i | 0.0501115 | − | 0.260387i | ||||
\(897\) | −37.5858 | + | 16.6985i | −1.25495 | + | 0.557546i | ||||
\(898\) | 1.41421 | − | 2.44949i | 0.0471929 | − | 0.0817405i | ||||
\(899\) | −0.800199 | − | 0.214413i | −0.0266881 | − | 0.00715106i | ||||
\(900\) | −2.55283 | − | 13.7353i | −0.0850944 | − | 0.457845i | ||||
\(901\) | −13.7078 | − | 7.91421i | −0.456674 | − | 0.263661i | ||||
\(902\) | 23.3137 | − | 23.3137i | 0.776262 | − | 0.776262i | ||||
\(903\) | −27.3629 | − | 2.69694i | −0.910579 | − | 0.0897485i | ||||
\(904\) | −19.0919 | + | 19.0919i | −0.634987 | + | 0.634987i | ||||
\(905\) | 5.17286 | − | 1.38606i | 0.171952 | − | 0.0460743i | ||||
\(906\) | 11.8951 | + | 32.2181i | 0.395188 | + | 1.07038i | ||||
\(907\) | −26.9954 | + | 15.5858i | −0.896367 | + | 0.517518i | −0.876020 | − | 0.482275i | \(-0.839810\pi\) |
−0.0203470 | + | 0.999793i | \(0.506477\pi\) | |||||||
\(908\) | −5.79555 | + | 1.55291i | −0.192332 | + | 0.0515353i | ||||
\(909\) | −11.3137 | − | 4.00000i | −0.375252 | − | 0.132672i | ||||
\(910\) | −4.41562 | + | 3.42470i | −0.146376 | + | 0.113528i | ||||
\(911\) | − | 52.4264i | − | 1.73696i | −0.495720 | − | 0.868482i | \(-0.665096\pi\) | ||
0.495720 | − | 0.868482i | \(-0.334904\pi\) | |||||||
\(912\) | −1.05790 | − | 11.4814i | −0.0350305 | − | 0.380186i | ||||
\(913\) | 12.6569 | + | 21.9223i | 0.418881 | + | 0.725523i | ||||
\(914\) | −2.22183 | − | 3.84831i | −0.0734915 | − | 0.127291i | ||||
\(915\) | 1.01033 | − | 0.0930924i | 0.0334006 | − | 0.00307754i | ||||
\(916\) | −3.89949 | − | 3.89949i | −0.128843 | − | 0.128843i | ||||
\(917\) | 28.1029 | − | 19.0318i | 0.928038 | − | 0.628485i | ||||
\(918\) | −2.58579 | − | 9.14214i | −0.0853437 | − | 0.301735i | ||||
\(919\) | −2.17157 | + | 3.76127i | −0.0716336 | + | 0.124073i | −0.899617 | − | 0.436679i | \(-0.856155\pi\) |
0.827984 | + | 0.560752i | \(0.189488\pi\) | |||||||
\(920\) | 5.78680 | + | 10.0230i | 0.190785 | + | 0.330449i | ||||
\(921\) | 3.62372 | − | 7.86566i | 0.119406 | − | 0.259182i | ||||
\(922\) | −34.3799 | − | 19.8492i | −1.13224 | − | 0.653700i | ||||
\(923\) | −2.32233 | − | 0.464466i | −0.0764404 | − | 0.0152881i | ||||
\(924\) | 26.3528 | − | 4.34897i | 0.866942 | − | 0.143071i | ||||
\(925\) | 13.1716 | + | 13.1716i | 0.433079 | + | 0.433079i | ||||
\(926\) | −4.89898 | − | 2.82843i | −0.160990 | − | 0.0929479i | ||||
\(927\) | 19.1283 | − | 3.55515i | 0.628255 | − | 0.116767i | ||||
\(928\) | −1.29410 | + | 4.82963i | −0.0424808 | + | 0.158540i | ||||
\(929\) | −6.60370 | − | 24.6453i | −0.216660 | − | 0.808587i | −0.985576 | − | 0.169236i | \(-0.945870\pi\) |
0.768915 | − | 0.639351i | \(-0.220797\pi\) | |||||||
\(930\) | −0.485281 | − | 0.686292i | −0.0159130 | − | 0.0225044i | ||||
\(931\) | 37.3189 | + | 27.9047i | 1.22308 | + | 0.914539i | ||||
\(932\) | − | 1.34315i | − | 0.0439962i | ||||||
\(933\) | 2.47458 | + | 2.05704i | 0.0810143 | + | 0.0673444i | ||||
\(934\) | 22.1879 | + | 5.94522i | 0.726009 | + | 0.194534i | ||||
\(935\) | 3.12132 | + | 5.40629i | 0.102078 | + | 0.176804i | ||||
\(936\) | −15.8403 | − | 28.3211i | −0.517758 | − | 0.925703i | ||||
\(937\) | 21.2843 | 0.695327 | 0.347663 | − | 0.937619i | \(-0.386975\pi\) | ||||
0.347663 | + | 0.937619i | \(0.386975\pi\) | |||||||
\(938\) | 15.5808 | − | 32.0968i | 0.508732 | − | 1.04800i | ||||
\(939\) | −6.92893 | + | 40.3848i | −0.226117 | + | 1.31791i | ||||
\(940\) | 0.333226 | + | 0.192388i | 0.0108686 | + | 0.00627501i | ||||
\(941\) | 2.16622 | + | 0.580438i | 0.0706169 | + | 0.0189217i | 0.293955 | − | 0.955819i | \(-0.405029\pi\) |
−0.223338 | + | 0.974741i | \(0.571695\pi\) | |||||||
\(942\) | 1.32514 | − | 2.87636i | 0.0431755 | − | 0.0937168i | ||||
\(943\) | −9.64226 | − | 35.9854i | −0.313995 | − | 1.17185i | ||||
\(944\) | −6.70711 | − | 6.70711i | −0.218298 | − | 0.218298i | ||||
\(945\) | −5.18730 | + | 6.16007i | −0.168743 | + | 0.200387i | ||||
\(946\) | − | 34.9706i | − | 1.13699i | ||||||
\(947\) | 25.6113 | − | 6.86251i | 0.832254 | − | 0.223002i | 0.182557 | − | 0.983195i | \(-0.441563\pi\) |
0.649697 | + | 0.760194i | \(0.274896\pi\) | |||||||
\(948\) | 0.848387 | + | 2.29788i | 0.0275543 | + | 0.0746316i | ||||
\(949\) | 14.8219 | + | 43.8144i | 0.481139 | + | 1.42228i | ||||
\(950\) | 26.8468 | + | 15.5000i | 0.871025 | + | 0.502886i | ||||
\(951\) | 16.9289 | + | 23.9411i | 0.548958 | + | 0.776344i | ||||
\(952\) | 10.9706 | + | 9.50079i | 0.355558 | + | 0.307922i | ||||
\(953\) | −25.1421 | −0.814434 | −0.407217 | − | 0.913332i | \(-0.633501\pi\) | ||||
−0.407217 | + | 0.913332i | \(0.633501\pi\) | |||||||
\(954\) | 25.8915 | + | 2.02462i | 0.838269 | + | 0.0655496i | ||||
\(955\) | 2.57295 | − | 9.60239i | 0.0832588 | − | 0.310726i | ||||
\(956\) | 1.63411 | − | 6.09857i | 0.0528508 | − | 0.197242i | ||||
\(957\) | −10.0525 | + | 0.926246i | −0.324953 | + | 0.0299413i | ||||
\(958\) | 29.4853 | 0.952626 | ||||||||
\(959\) | 22.8284 | + | 19.7700i | 0.737168 | + | 0.638407i | ||||
\(960\) | −5.79899 | + | 4.10051i | −0.187162 | + | 0.132343i | ||||
\(961\) | 26.2524 | + | 15.1569i | 0.846853 | + | 0.488931i | ||||
\(962\) | 12.9282 | + | 6.39230i | 0.416822 | + | 0.206096i | ||||
\(963\) | 20.1404 | − | 3.74326i | 0.649015 | − | 0.120625i | ||||
\(964\) | 21.4847 | − | 5.75682i | 0.691977 | − | 0.185415i | ||||
\(965\) | 1.65685i | 0.0533360i | ||||||||
\(966\) | −10.6328 | + | 28.2448i | −0.342106 | + | 0.908761i | ||||
\(967\) | 17.3934 | + | 17.3934i | 0.559334 | + | 0.559334i | 0.929118 | − | 0.369784i | \(-0.120568\pi\) |
−0.369784 | + | 0.929118i | \(0.620568\pi\) | |||||||
\(968\) | 17.8357 | + | 66.5636i | 0.573260 | + | 2.13943i | ||||
\(969\) | −19.1475 | − | 8.82129i | −0.615106 | − | 0.283381i | ||||
\(970\) | −5.60139 | − | 1.50089i | −0.179850 | − | 0.0481906i | ||||
\(971\) | −17.2335 | − | 9.94975i | −0.553048 | − | 0.319303i | 0.197302 | − | 0.980343i | \(-0.436782\pi\) |
−0.750351 | + | 0.661040i | \(0.770115\pi\) | |||||||
\(972\) | −10.2929 | − | 11.7071i | −0.330145 | − | 0.375506i | ||||
\(973\) | −3.38407 | + | 6.97127i | −0.108488 | + | 0.223489i | ||||
\(974\) | −9.34315 | −0.299374 | ||||||||
\(975\) | 28.9203 | + | 3.06289i | 0.926191 | + | 0.0980910i | ||||
\(976\) | 0.500000 | + | 0.866025i | 0.0160046 | + | 0.0277208i | ||||
\(977\) | −43.9472 | − | 11.7756i | −1.40600 | − | 0.376735i | −0.525501 | − | 0.850793i | \(-0.676122\pi\) |
−0.880494 | + | 0.474058i | \(0.842789\pi\) | |||||||
\(978\) | 2.40438 | − | 2.89243i | 0.0768836 | − | 0.0924897i | ||||
\(979\) | − | 72.7696i | − | 2.32572i | ||||||
\(980\) | 0.484577 | − | 4.07177i | 0.0154793 | − | 0.130068i | ||||
\(981\) | 9.58579 | + | 20.0711i | 0.306051 | + | 0.640820i | ||||
\(982\) | 2.38455 | + | 8.89927i | 0.0760941 | + | 0.283987i | ||||
\(983\) | −13.7174 | + | 51.1941i | −0.437517 | + | 1.63284i | 0.297452 | + | 0.954737i | \(0.403863\pi\) |
−0.734969 | + | 0.678100i | \(0.762803\pi\) | |||||||
\(984\) | 27.5745 | − | 10.1806i | 0.879044 | − | 0.324547i | ||||
\(985\) | 3.58719 | + | 2.07107i | 0.114298 | + | 0.0659897i | ||||
\(986\) | −1.29289 | − | 1.29289i | −0.0411741 | − | 0.0411741i | ||||
\(987\) | 0.490122 | + | 2.96991i | 0.0156007 | + | 0.0945334i | ||||
\(988\) | −23.5355 | − | 4.70711i | −0.748765 | − | 0.149753i | ||||
\(989\) | −34.2208 | − | 19.7574i | −1.08816 | − | 0.628247i | ||||
\(990\) | −8.44414 | − | 5.79725i | −0.268372 | − | 0.184249i | ||||
\(991\) | −20.5355 | − | 35.5686i | −0.652333 | − | 1.12987i | −0.982555 | − | 0.185970i | \(-0.940457\pi\) |
0.330223 | − | 0.943903i | \(-0.392876\pi\) | |||||||
\(992\) | −2.07107 | + | 3.58719i | −0.0657565 | + | 0.113894i | ||||
\(993\) | 33.1716 | − | 23.4558i | 1.05267 | − | 0.744349i | ||||
\(994\) | −1.43895 | + | 0.974485i | −0.0456408 | + | 0.0309088i | ||||
\(995\) | 6.24264 | + | 6.24264i | 0.197905 | + | 0.197905i | ||||
\(996\) | 0.690207 | + | 7.49082i | 0.0218700 | + | 0.237356i | ||||
\(997\) | −14.0858 | − | 24.3973i | −0.446101 | − | 0.772670i | 0.552027 | − | 0.833826i | \(-0.313855\pi\) |
−0.998128 | + | 0.0611561i | \(0.980521\pi\) | |||||||
\(998\) | −9.17157 | − | 15.8856i | −0.290321 | − | 0.502851i | ||||
\(999\) | 20.1489 | + | 5.10102i | 0.637484 | + | 0.161389i |
(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 | 273.2.cd.d.86.1 | yes | 8 | |
3.2 | odd | 2 | 273.2.cd.c.86.2 | yes | 8 | ||
7.4 | even | 3 | inner | 273.2.cd.d.242.2 | yes | 8 | |
13.5 | odd | 4 | 273.2.cd.c.44.1 | ✓ | 8 | ||
21.11 | odd | 6 | 273.2.cd.c.242.1 | yes | 8 | ||
39.5 | even | 4 | inner | 273.2.cd.d.44.2 | yes | 8 | |
91.18 | odd | 12 | 273.2.cd.c.200.2 | yes | 8 | ||
273.200 | even | 12 | inner | 273.2.cd.d.200.1 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.cd.c.44.1 | ✓ | 8 | 13.5 | odd | 4 | ||
273.2.cd.c.86.2 | yes | 8 | 3.2 | odd | 2 | ||
273.2.cd.c.200.2 | yes | 8 | 91.18 | odd | 12 | ||
273.2.cd.c.242.1 | yes | 8 | 21.11 | odd | 6 | ||
273.2.cd.d.44.2 | yes | 8 | 39.5 | even | 4 | inner | |
273.2.cd.d.86.1 | yes | 8 | 1.1 | even | 1 | trivial | |
273.2.cd.d.200.1 | yes | 8 | 273.200 | even | 12 | inner | |
273.2.cd.d.242.2 | yes | 8 | 7.4 | even | 3 | inner |