Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [207,3,Mod(10,207)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(207, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("207.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 207 = 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 207.j (of order \(22\), degree \(10\), 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: | \(5.64034147226\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 10.3 | ||
Character | \(\chi\) | \(=\) | 207.10 |
Dual form | 207.3.j.c.145.3 |
$q$-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 \(\left(\mathbb{Z}/207\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{3}{22}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.718657 | − | 0.829374i | −0.359328 | − | 0.414687i | 0.547086 | − | 0.837076i | \(-0.315737\pi\) |
−0.906415 | + | 0.422389i | \(0.861192\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.397865 | − | 2.76721i | 0.0994664 | − | 0.691804i | ||||
\(5\) | −4.86076 | − | 2.21983i | −0.972151 | − | 0.443967i | −0.134944 | − | 0.990853i | \(-0.543086\pi\) |
−0.837207 | + | 0.546887i | \(0.815813\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.07875 | − | 7.07956i | 0.296964 | − | 1.01137i | −0.666939 | − | 0.745112i | \(-0.732396\pi\) |
0.963903 | − | 0.266253i | \(-0.0857858\pi\) | |||||||
\(8\) | −6.27382 | + | 4.03194i | −0.784227 | + | 0.503992i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.65214 | + | 5.62668i | 0.165214 | + | 0.562668i | ||||
\(11\) | 10.0553 | + | 8.71297i | 0.914119 | + | 0.792088i | 0.978587 | − | 0.205831i | \(-0.0659898\pi\) |
−0.0644688 | + | 0.997920i | \(0.520535\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −17.3029 | + | 5.08058i | −1.33099 | + | 0.390814i | −0.868446 | − | 0.495783i | \(-0.834881\pi\) |
−0.462543 | + | 0.886597i | \(0.653063\pi\) | |||||||
\(14\) | −7.36551 | + | 3.36371i | −0.526108 | + | 0.240265i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.87700 | − | 0.844763i | −0.179812 | − | 0.0527977i | ||||
\(17\) | −30.2920 | + | 4.35534i | −1.78188 | + | 0.256196i | −0.952945 | − | 0.303142i | \(-0.901964\pi\) |
−0.828939 | + | 0.559338i | \(0.811055\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 29.7987 | + | 4.28440i | 1.56835 | + | 0.225495i | 0.871017 | − | 0.491252i | \(-0.163461\pi\) |
0.697333 | + | 0.716747i | \(0.254370\pi\) | |||||||
\(20\) | −8.07668 | + | 12.5676i | −0.403834 | + | 0.628378i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 14.6012i | − | 0.663693i | ||||||
\(23\) | −15.5474 | − | 16.9493i | −0.675973 | − | 0.736927i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.32777 | + | 2.68639i | 0.0931108 | + | 0.107456i | ||||
\(26\) | 16.6485 | + | 10.6994i | 0.640328 | + | 0.411514i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −18.7636 | − | 8.56905i | −0.670128 | − | 0.306037i | ||||
\(29\) | −4.53399 | − | 31.5346i | −0.156344 | − | 1.08740i | −0.905298 | − | 0.424777i | \(-0.860353\pi\) |
0.748954 | − | 0.662622i | \(-0.230556\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −11.7411 | + | 7.54555i | −0.378745 | + | 0.243405i | −0.716137 | − | 0.697959i | \(-0.754092\pi\) |
0.337392 | + | 0.941364i | \(0.390455\pi\) | |||||||
\(32\) | 13.7591 | + | 30.1283i | 0.429972 | + | 0.941508i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 25.3818 | + | 21.9934i | 0.746523 | + | 0.646866i | ||||
\(35\) | −25.8197 | + | 29.7975i | −0.737706 | + | 0.851358i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −60.2758 | + | 27.5271i | −1.62908 | + | 0.743974i | −0.999458 | − | 0.0329296i | \(-0.989516\pi\) |
−0.629619 | + | 0.776904i | \(0.716789\pi\) | |||||||
\(38\) | −17.8616 | − | 27.7933i | −0.470043 | − | 0.731401i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 39.4457 | − | 5.67144i | 0.986143 | − | 0.141786i | ||||
\(41\) | −3.19522 | + | 6.99656i | −0.0779322 | + | 0.170648i | −0.944588 | − | 0.328260i | \(-0.893538\pi\) |
0.866655 | + | 0.498907i | \(0.166265\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 19.3523 | − | 30.1128i | 0.450054 | − | 0.700297i | −0.539894 | − | 0.841733i | \(-0.681536\pi\) |
0.989947 | + | 0.141436i | \(0.0451720\pi\) | |||||||
\(44\) | 28.1113 | − | 24.3586i | 0.638894 | − | 0.553605i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.88410 | + | 25.0753i | −0.0626979 | + | 0.545116i | ||||
\(47\) | 39.0101 | 0.830003 | 0.415002 | − | 0.909821i | \(-0.363781\pi\) | ||||
0.415002 | + | 0.909821i | \(0.363781\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.57753 | − | 2.94180i | −0.0934189 | − | 0.0600367i | ||||
\(50\) | 0.555155 | − | 3.86118i | 0.0111031 | − | 0.0772237i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 7.17484 | + | 49.9021i | 0.137978 | + | 0.959656i | ||||
\(53\) | 27.4890 | − | 93.6188i | 0.518660 | − | 1.76639i | −0.115625 | − | 0.993293i | \(-0.536887\pi\) |
0.634284 | − | 0.773100i | \(-0.281295\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −29.5350 | − | 64.6727i | −0.537001 | − | 1.17587i | ||||
\(56\) | 15.5027 | + | 52.7972i | 0.276833 | + | 0.942808i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −22.8956 | + | 26.4229i | −0.394751 | + | 0.455567i | ||||
\(59\) | 12.8663 | − | 3.77788i | 0.218073 | − | 0.0640319i | −0.170871 | − | 0.985293i | \(-0.554658\pi\) |
0.388944 | + | 0.921261i | \(0.372840\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.69653 | − | 5.75192i | −0.0605989 | − | 0.0942937i | 0.809632 | − | 0.586938i | \(-0.199667\pi\) |
−0.870231 | + | 0.492644i | \(0.836030\pi\) | |||||||
\(62\) | 14.6959 | + | 4.31511i | 0.237031 | + | 0.0695985i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 10.1171 | − | 22.1534i | 0.158080 | − | 0.346146i | ||||
\(65\) | 95.3830 | + | 13.7140i | 1.46743 | + | 0.210985i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.90072 | + | 1.64698i | −0.0283689 | + | 0.0245818i | −0.668930 | − | 0.743326i | \(-0.733247\pi\) |
0.640561 | + | 0.767907i | \(0.278702\pi\) | |||||||
\(68\) | 85.5574i | 1.25820i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 43.2688 | 0.618126 | ||||||||
\(71\) | −65.1402 | − | 75.1758i | −0.917468 | − | 1.05881i | −0.998072 | − | 0.0620678i | \(-0.980230\pi\) |
0.0806044 | − | 0.996746i | \(-0.474315\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.23397 | − | 57.2685i | 0.112794 | − | 0.784501i | −0.852386 | − | 0.522914i | \(-0.824845\pi\) |
0.965180 | − | 0.261587i | \(-0.0842458\pi\) | |||||||
\(74\) | 66.1479 | + | 30.2087i | 0.893890 | + | 0.408226i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 23.7117 | − | 80.7547i | 0.311996 | − | 1.06256i | ||||
\(77\) | 82.5864 | − | 53.0751i | 1.07255 | − | 0.689286i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −14.5051 | − | 49.3997i | −0.183608 | − | 0.625313i | −0.998928 | − | 0.0463009i | \(-0.985257\pi\) |
0.815319 | − | 0.579012i | \(-0.196561\pi\) | |||||||
\(80\) | 12.1092 | + | 10.4926i | 0.151364 | + | 0.131158i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 8.09903 | − | 2.37809i | 0.0987687 | − | 0.0290011i | ||||
\(83\) | 51.3058 | − | 23.4306i | 0.618142 | − | 0.282296i | −0.0816295 | − | 0.996663i | \(-0.526012\pi\) |
0.699772 | + | 0.714367i | \(0.253285\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 156.910 | + | 46.0730i | 1.84600 | + | 0.542036i | ||||
\(86\) | −38.8824 | + | 5.59045i | −0.452121 | + | 0.0650052i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −98.2153 | − | 14.1212i | −1.11608 | − | 0.160469i | ||||
\(89\) | 39.9848 | − | 62.2176i | 0.449268 | − | 0.699074i | −0.540566 | − | 0.841301i | \(-0.681790\pi\) |
0.989834 | + | 0.142227i | \(0.0454263\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 133.058i | 1.46217i | ||||||||
\(92\) | −53.0882 | + | 36.2794i | −0.577045 | + | 0.394341i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −28.0349 | − | 32.3540i | −0.298244 | − | 0.344192i | ||||
\(95\) | −135.333 | − | 86.9735i | −1.42456 | − | 0.915510i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.71968 | + | 0.785353i | 0.0177287 | + | 0.00809642i | 0.424260 | − | 0.905541i | \(-0.360534\pi\) |
−0.406531 | + | 0.913637i | \(0.633262\pi\) | |||||||
\(98\) | 0.849820 | + | 5.91063i | 0.00867163 | + | 0.0603125i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.35996 | − | 5.37262i | 0.0835996 | − | 0.0537262i | ||||
\(101\) | 9.39095 | + | 20.5633i | 0.0929797 | + | 0.203597i | 0.950408 | − | 0.311007i | \(-0.100666\pi\) |
−0.857428 | + | 0.514604i | \(0.827939\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 22.7166 | + | 19.6841i | 0.220550 | + | 0.191108i | 0.758127 | − | 0.652107i | \(-0.226115\pi\) |
−0.537577 | + | 0.843215i | \(0.680660\pi\) | |||||||
\(104\) | 88.0704 | − | 101.639i | 0.846831 | − | 0.977295i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −97.4002 | + | 44.4812i | −0.918870 | + | 0.419634i | ||||
\(107\) | −48.1181 | − | 74.8732i | −0.449702 | − | 0.699749i | 0.540195 | − | 0.841540i | \(-0.318350\pi\) |
−0.989897 | + | 0.141791i | \(0.954714\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −176.142 | + | 25.3254i | −1.61598 | + | 0.232343i | −0.890197 | − | 0.455576i | \(-0.849433\pi\) |
−0.725787 | + | 0.687919i | \(0.758524\pi\) | |||||||
\(110\) | −32.4123 | + | 70.9731i | −0.294658 | + | 0.645210i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −11.9611 | + | 18.6118i | −0.106796 | + | 0.166177i | ||||
\(113\) | −98.7667 | + | 85.5818i | −0.874041 | + | 0.757361i | −0.971290 | − | 0.237899i | \(-0.923541\pi\) |
0.0972486 | + | 0.995260i | \(0.468996\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 37.9473 | + | 116.899i | 0.329977 | + | 1.01651i | ||||
\(116\) | −89.0668 | −0.767817 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −12.3797 | − | 7.95596i | −0.104913 | − | 0.0674234i | ||||
\(119\) | −32.1356 | + | 223.508i | −0.270047 | + | 1.87822i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.97319 | + | 55.4548i | 0.0658942 | + | 0.458304i | ||||
\(122\) | −2.11395 | + | 7.19946i | −0.0173275 | + | 0.0590120i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 16.2088 | + | 35.4923i | 0.130716 | + | 0.286228i | ||||
\(125\) | 32.2856 | + | 109.955i | 0.258285 | + | 0.879638i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 34.4979 | − | 39.8127i | 0.271637 | − | 0.313486i | −0.603498 | − | 0.797365i | \(-0.706227\pi\) |
0.875135 | + | 0.483878i | \(0.160772\pi\) | |||||||
\(128\) | 101.475 | − | 29.7957i | 0.792771 | − | 0.232779i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −57.1736 | − | 88.9639i | −0.439797 | − | 0.684338i | ||||
\(131\) | −11.8776 | − | 3.48758i | −0.0906688 | − | 0.0266228i | 0.236084 | − | 0.971733i | \(-0.424136\pi\) |
−0.326752 | + | 0.945110i | \(0.605954\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 92.2755 | − | 202.055i | 0.693801 | − | 1.51921i | ||||
\(134\) | 2.73193 | + | 0.392792i | 0.0203875 | + | 0.00293128i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 172.486 | − | 149.460i | 1.26828 | − | 1.09897i | ||||
\(137\) | 10.6717i | 0.0778959i | 0.999241 | + | 0.0389480i | \(0.0124007\pi\) | ||||
−0.999241 | + | 0.0389480i | \(0.987599\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 104.984 | 0.755280 | 0.377640 | − | 0.925952i | \(-0.376736\pi\) | ||||
0.377640 | + | 0.925952i | \(0.376736\pi\) | |||||||
\(140\) | 72.1834 | + | 83.3041i | 0.515596 | + | 0.595029i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −15.5354 | + | 108.051i | −0.109404 | + | 0.760924i | ||||
\(143\) | −218.253 | − | 99.6726i | −1.52624 | − | 0.697011i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −47.9629 | + | 163.346i | −0.330778 | + | 1.12653i | ||||
\(146\) | −53.4145 | + | 34.3274i | −0.365852 | + | 0.235119i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 52.1916 | + | 177.748i | 0.352646 | + | 1.20100i | ||||
\(149\) | −108.975 | − | 94.4273i | −0.731375 | − | 0.633740i | 0.207406 | − | 0.978255i | \(-0.433498\pi\) |
−0.938781 | + | 0.344515i | \(0.888043\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −61.5866 | + | 18.0835i | −0.407858 | + | 0.119758i | −0.479225 | − | 0.877692i | \(-0.659082\pi\) |
0.0713667 | + | 0.997450i | \(0.477264\pi\) | |||||||
\(152\) | −204.226 | + | 93.2668i | −1.34359 | + | 0.613597i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −103.370 | − | 30.3523i | −0.671236 | − | 0.197093i | ||||
\(155\) | 73.8205 | − | 10.6138i | 0.476261 | − | 0.0684760i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −97.3222 | − | 13.9928i | −0.619887 | − | 0.0891263i | −0.174786 | − | 0.984607i | \(-0.555923\pi\) |
−0.445101 | + | 0.895480i | \(0.646832\pi\) | |||||||
\(158\) | −30.5467 | + | 47.5316i | −0.193333 | + | 0.300833i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | − | 176.989i | − | 1.10618i | ||||||
\(161\) | −152.313 | + | 74.8352i | −0.946042 | + | 0.464815i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 54.3760 | + | 62.7533i | 0.333595 | + | 0.384989i | 0.897621 | − | 0.440768i | \(-0.145294\pi\) |
−0.564026 | + | 0.825757i | \(0.690748\pi\) | |||||||
\(164\) | 18.0897 | + | 11.6256i | 0.110303 | + | 0.0708875i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −56.3040 | − | 25.7132i | −0.339181 | − | 0.154899i | ||||
\(167\) | −13.8152 | − | 96.0871i | −0.0827260 | − | 0.575372i | −0.988455 | − | 0.151515i | \(-0.951585\pi\) |
0.905729 | − | 0.423857i | \(-0.139324\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 131.405 | − | 84.4488i | 0.777544 | − | 0.499697i | ||||
\(170\) | −74.5529 | − | 163.248i | −0.438547 | − | 0.960283i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −75.6289 | − | 65.5328i | −0.439703 | − | 0.381005i | ||||
\(173\) | −45.4388 | + | 52.4392i | −0.262652 | + | 0.303117i | −0.871723 | − | 0.489999i | \(-0.836997\pi\) |
0.609071 | + | 0.793116i | \(0.291543\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 23.8573 | − | 10.8953i | 0.136327 | − | 0.0622586i | ||||
\(176\) | −21.5687 | − | 33.5616i | −0.122549 | − | 0.190691i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −80.3371 | + | 11.5507i | −0.451332 | + | 0.0648917i | ||||
\(179\) | 0.794691 | − | 1.74013i | 0.00443961 | − | 0.00972140i | −0.907399 | − | 0.420270i | \(-0.861935\pi\) |
0.911839 | + | 0.410548i | \(0.134663\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 41.0574 | − | 63.8865i | 0.226836 | − | 0.352964i | −0.709115 | − | 0.705092i | \(-0.750905\pi\) |
0.935952 | + | 0.352128i | \(0.114542\pi\) | |||||||
\(182\) | 110.355 | − | 95.6229i | 0.606345 | − | 0.525401i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 165.880 | + | 43.6509i | 0.901521 | + | 0.237233i | ||||
\(185\) | 354.092 | 1.91401 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −342.544 | − | 220.139i | −1.83178 | − | 1.17722i | ||||
\(188\) | 15.5208 | − | 107.949i | 0.0825574 | − | 0.574199i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 25.1247 | + | 174.746i | 0.132235 | + | 0.919716i | ||||
\(191\) | −67.0012 | + | 228.185i | −0.350792 | + | 1.19469i | 0.575476 | + | 0.817819i | \(0.304817\pi\) |
−0.926267 | + | 0.376867i | \(0.877001\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 85.7016 | + | 187.660i | 0.444050 | + | 0.972333i | 0.990837 | + | 0.135062i | \(0.0431233\pi\) |
−0.546787 | + | 0.837271i | \(0.684149\pi\) | |||||||
\(194\) | −0.584511 | − | 1.99066i | −0.00301294 | − | 0.0102611i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.96183 | + | 11.4966i | −0.0508257 | + | 0.0586559i | ||||
\(197\) | 133.978 | − | 39.3396i | 0.680093 | − | 0.199693i | 0.0766005 | − | 0.997062i | \(-0.475593\pi\) |
0.603493 | + | 0.797368i | \(0.293775\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.56426 | + | 7.10212i | 0.0229360 | + | 0.0356891i | 0.852532 | − | 0.522675i | \(-0.175066\pi\) |
−0.829596 | + | 0.558364i | \(0.811429\pi\) | |||||||
\(200\) | −25.4354 | − | 7.46850i | −0.127177 | − | 0.0373425i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 10.3058 | − | 22.5666i | 0.0510189 | − | 0.111716i | ||||
\(203\) | −232.676 | − | 33.4537i | −1.14619 | − | 0.164797i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 31.0624 | − | 26.9157i | 0.151524 | − | 0.131296i | ||||
\(206\) | − | 32.9867i | − | 0.160130i | ||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 54.0722 | 0.259963 | ||||||||
\(209\) | 262.305 | + | 302.716i | 1.25505 | + | 1.44840i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 52.3052 | − | 363.791i | 0.247892 | − | 1.72413i | −0.362463 | − | 0.931998i | \(-0.618064\pi\) |
0.610355 | − | 0.792128i | \(-0.291027\pi\) | |||||||
\(212\) | −248.126 | − | 113.316i | −1.17041 | − | 0.534507i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −27.5175 | + | 93.7160i | −0.128586 | + | 0.437925i | ||||
\(215\) | −160.912 | + | 103.412i | −0.748429 | + | 0.480986i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 29.0124 | + | 98.8071i | 0.133698 | + | 0.455332i | ||||
\(218\) | 147.590 | + | 127.888i | 0.677019 | + | 0.586640i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −190.714 | + | 55.9988i | −0.866883 | + | 0.254540i | ||||
\(221\) | 502.011 | − | 229.261i | 2.27155 | − | 1.03738i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 304.587 | + | 89.4347i | 1.36586 | + | 0.401053i | 0.880825 | − | 0.473442i | \(-0.156989\pi\) |
0.485035 | + | 0.874495i | \(0.338807\pi\) | |||||||
\(224\) | 241.896 | − | 34.7795i | 1.07989 | − | 0.155265i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 141.959 | + | 20.4106i | 0.628136 | + | 0.0903123i | ||||
\(227\) | 124.426 | − | 193.611i | 0.548133 | − | 0.852911i | −0.451084 | − | 0.892482i | \(-0.648963\pi\) |
0.999217 | + | 0.0395702i | \(0.0125989\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 225.147i | − | 0.983177i | −0.870828 | − | 0.491588i | \(-0.836416\pi\) | ||
0.870828 | − | 0.491588i | \(-0.163584\pi\) | |||||||
\(230\) | 69.6820 | − | 115.483i | 0.302965 | − | 0.502099i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 155.591 | + | 179.561i | 0.670650 | + | 0.773971i | ||||
\(233\) | −25.5088 | − | 16.3935i | −0.109480 | − | 0.0703585i | 0.484755 | − | 0.874650i | \(-0.338909\pi\) |
−0.594235 | + | 0.804291i | \(0.702545\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −189.619 | − | 86.5960i | −0.806888 | − | 0.368494i | ||||
\(236\) | −5.33516 | − | 37.1068i | −0.0226066 | − | 0.157232i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 208.466 | − | 133.973i | 0.875908 | − | 0.562912i | ||||
\(239\) | 142.738 | + | 312.552i | 0.597229 | + | 1.30775i | 0.930974 | + | 0.365086i | \(0.118961\pi\) |
−0.333744 | + | 0.942664i | \(0.608312\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 40.1408 | + | 34.7822i | 0.166559 | + | 0.144324i | 0.734152 | − | 0.678985i | \(-0.237580\pi\) |
−0.567593 | + | 0.823309i | \(0.692125\pi\) | |||||||
\(242\) | 40.2628 | − | 46.4657i | 0.166375 | − | 0.192007i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −17.3875 | + | 7.94061i | −0.0712603 | + | 0.0325435i | ||||
\(245\) | 15.7199 | + | 24.4607i | 0.0641630 | + | 0.0998396i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −537.369 | + | 77.2621i | −2.17558 | + | 0.312802i | ||||
\(248\) | 43.2383 | − | 94.6788i | 0.174348 | − | 0.381769i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 67.9913 | − | 105.797i | 0.271965 | − | 0.423186i | ||||
\(251\) | −40.2150 | + | 34.8465i | −0.160219 | + | 0.138831i | −0.731281 | − | 0.682076i | \(-0.761077\pi\) |
0.571062 | + | 0.820907i | \(0.306532\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.65463 | − | 305.894i | −0.0342080 | − | 1.20907i | ||||
\(254\) | −57.8118 | −0.227606 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −179.589 | − | 115.415i | −0.701521 | − | 0.450840i | ||||
\(257\) | 22.1395 | − | 153.984i | 0.0861459 | − | 0.599158i | −0.900325 | − | 0.435219i | \(-0.856671\pi\) |
0.986470 | − | 0.163939i | \(-0.0524200\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 69.5812 | + | 483.948i | 0.268653 | + | 1.86853i | ||||
\(260\) | 75.8992 | − | 258.489i | 0.291920 | − | 0.994188i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 5.64342 | + | 12.3574i | 0.0215398 | + | 0.0471655i | ||||
\(263\) | −63.5131 | − | 216.306i | −0.241495 | − | 0.822456i | −0.987649 | − | 0.156683i | \(-0.949920\pi\) |
0.746154 | − | 0.665773i | \(-0.231898\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −341.435 | + | 394.037i | −1.28844 | + | 1.48693i | ||||
\(266\) | −233.894 | + | 68.6774i | −0.879300 | + | 0.258186i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.80132 | + | 5.91497i | 0.0141840 | + | 0.0220708i | ||||
\(269\) | 308.754 | + | 90.6584i | 1.14779 | + | 0.337020i | 0.799675 | − | 0.600433i | \(-0.205005\pi\) |
0.348110 | + | 0.937454i | \(0.386823\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −167.464 | + | 366.695i | −0.617948 | + | 1.35312i | 0.299054 | + | 0.954236i | \(0.403329\pi\) |
−0.917002 | + | 0.398881i | \(0.869398\pi\) | |||||||
\(272\) | 90.8294 | + | 13.0593i | 0.333932 | + | 0.0480121i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 8.85087 | − | 7.66932i | 0.0323024 | − | 0.0279902i | ||||
\(275\) | 47.2943i | 0.171979i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 229.063 | 0.826943 | 0.413471 | − | 0.910517i | \(-0.364316\pi\) | ||||
0.413471 | + | 0.910517i | \(0.364316\pi\) | |||||||
\(278\) | −75.4474 | − | 87.0710i | −0.271394 | − | 0.313205i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 41.8463 | − | 291.048i | 0.149451 | − | 1.03946i | ||||
\(281\) | 129.668 | + | 59.2174i | 0.461452 | + | 0.210738i | 0.632556 | − | 0.774515i | \(-0.282006\pi\) |
−0.171103 | + | 0.985253i | \(0.554733\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −96.0771 | + | 327.209i | −0.339495 | + | 1.15621i | 0.596033 | + | 0.802960i | \(0.296743\pi\) |
−0.935528 | + | 0.353254i | \(0.885075\pi\) | |||||||
\(284\) | −233.945 | + | 150.347i | −0.823749 | + | 0.529391i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 74.1828 | + | 252.643i | 0.259380 | + | 0.883369i | ||||
\(287\) | 42.8905 | + | 37.1648i | 0.149444 | + | 0.129494i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 621.345 | − | 182.443i | 2.14998 | − | 0.631292i | ||||
\(290\) | 169.944 | − | 77.6109i | 0.586014 | − | 0.267624i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −155.198 | − | 45.5703i | −0.531501 | − | 0.156063i | ||||
\(293\) | −167.700 | + | 24.1116i | −0.572355 | + | 0.0822922i | −0.422414 | − | 0.906403i | \(-0.638817\pi\) |
−0.149941 | + | 0.988695i | \(0.547908\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −70.9261 | − | 10.1976i | −0.240427 | − | 0.0345683i | ||||
\(296\) | 267.172 | − | 415.728i | 0.902609 | − | 1.40449i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 158.242i | 0.531013i | ||||||||
\(299\) | 355.126 | + | 214.282i | 1.18771 | + | 0.716662i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −172.957 | − | 199.603i | −0.574607 | − | 0.663131i | ||||
\(302\) | 59.2576 | + | 38.0825i | 0.196217 | + | 0.126101i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −82.1114 | − | 37.4990i | −0.270103 | − | 0.123352i | ||||
\(305\) | 5.19965 | + | 36.1643i | 0.0170480 | + | 0.118572i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 415.836 | − | 267.242i | 1.35452 | − | 0.870495i | 0.356552 | − | 0.934275i | \(-0.383952\pi\) |
0.997964 | + | 0.0637807i | \(0.0203158\pi\) | |||||||
\(308\) | −114.012 | − | 249.651i | −0.370168 | − | 0.810555i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −61.8544 | − | 53.5971i | −0.199530 | − | 0.172894i | ||||
\(311\) | −361.925 | + | 417.684i | −1.16375 | + | 1.34304i | −0.235145 | + | 0.971960i | \(0.575556\pi\) |
−0.928603 | + | 0.371075i | \(0.878989\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −418.338 | + | 191.049i | −1.33654 | + | 0.610379i | −0.950103 | − | 0.311935i | \(-0.899023\pi\) |
−0.386441 | + | 0.922314i | \(0.626296\pi\) | |||||||
\(314\) | 58.3360 | + | 90.7726i | 0.185783 | + | 0.289085i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −142.471 | + | 20.4842i | −0.450857 | + | 0.0648234i | ||||
\(317\) | −70.6986 | + | 154.808i | −0.223024 | + | 0.488354i | −0.987758 | − | 0.155991i | \(-0.950143\pi\) |
0.764735 | + | 0.644346i | \(0.222870\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 229.169 | − | 356.594i | 0.718398 | − | 1.11785i | ||||
\(320\) | −98.3535 | + | 85.2238i | −0.307355 | + | 0.266324i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 171.527 | + | 72.5434i | 0.532692 | + | 0.225290i | ||||
\(323\) | −921.322 | −2.85239 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −53.9255 | − | 34.6558i | −0.165925 | − | 0.106633i | ||||
\(326\) | 12.9682 | − | 90.1961i | 0.0397799 | − | 0.276675i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −8.16345 | − | 56.7781i | −0.0248886 | − | 0.173104i | ||||
\(329\) | 81.0922 | − | 276.175i | 0.246481 | − | 0.839436i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −219.808 | − | 481.312i | −0.664072 | − | 1.45411i | −0.878678 | − | 0.477414i | \(-0.841574\pi\) |
0.214606 | − | 0.976701i | \(-0.431153\pi\) | |||||||
\(332\) | −44.4246 | − | 151.296i | −0.133809 | − | 0.455712i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −69.7638 | + | 80.5117i | −0.208874 | + | 0.241053i | ||||
\(335\) | 12.8949 | − | 3.78630i | 0.0384924 | − | 0.0113024i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 49.5828 | + | 77.1523i | 0.147130 | + | 0.228939i | 0.906994 | − | 0.421143i | \(-0.138371\pi\) |
−0.759864 | + | 0.650082i | \(0.774735\pi\) | |||||||
\(338\) | −164.475 | − | 48.2941i | −0.486612 | − | 0.142882i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 189.923 | − | 415.874i | 0.558598 | − | 1.22316i | ||||
\(341\) | −183.805 | − | 26.4271i | −0.539016 | − | 0.0774988i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 242.894 | − | 210.469i | 0.708146 | − | 0.613612i | ||||
\(344\) | 266.949i | 0.776015i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 76.1466 | 0.220077 | ||||||||
\(347\) | 377.876 | + | 436.092i | 1.08898 | + | 1.25675i | 0.964374 | + | 0.264544i | \(0.0852214\pi\) |
0.124606 | + | 0.992206i | \(0.460233\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 33.6847 | − | 234.283i | 0.0965179 | − | 0.671297i | −0.882916 | − | 0.469531i | \(-0.844423\pi\) |
0.979434 | − | 0.201766i | \(-0.0646679\pi\) | |||||||
\(350\) | −26.1815 | − | 11.9567i | −0.0748042 | − | 0.0341619i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −124.155 | + | 422.832i | −0.352712 | + | 1.20123i | ||||
\(353\) | 42.3300 | − | 27.2038i | 0.119915 | − | 0.0770647i | −0.479308 | − | 0.877647i | \(-0.659112\pi\) |
0.599223 | + | 0.800582i | \(0.295476\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 149.753 | + | 510.011i | 0.421839 | + | 1.43665i | ||||
\(356\) | −156.261 | − | 135.401i | −0.438935 | − | 0.380340i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.01433 | + | 0.591460i | −0.00562662 | + | 0.00165212i | ||||
\(359\) | −43.9433 | + | 20.0682i | −0.122405 | + | 0.0559004i | −0.475676 | − | 0.879621i | \(-0.657797\pi\) |
0.353271 | + | 0.935521i | \(0.385069\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 523.227 | + | 153.633i | 1.44938 | + | 0.425577i | ||||
\(362\) | −82.4920 | + | 11.8606i | −0.227879 | + | 0.0327640i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 368.200 | + | 52.9391i | 1.01154 | + | 0.145437i | ||||
\(365\) | −167.150 | + | 260.090i | −0.457945 | + | 0.712576i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 1.29054i | − | 0.00351647i | −0.999998 | − | 0.00175823i | \(-0.999440\pi\) | ||
0.999998 | − | 0.00175823i | \(-0.000559664\pi\) | |||||||
\(368\) | 30.4116 | + | 61.8970i | 0.0826402 | + | 0.168198i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −254.470 | − | 293.674i | −0.687758 | − | 0.793715i | ||||
\(371\) | −605.637 | − | 389.219i | −1.63245 | − | 1.04911i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −611.510 | − | 279.267i | −1.63944 | − | 0.748706i | −0.639637 | − | 0.768677i | \(-0.720915\pi\) |
−0.999801 | + | 0.0199705i | \(0.993643\pi\) | |||||||
\(374\) | 63.5934 | + | 442.302i | 0.170036 | + | 1.18262i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −244.743 | + | 157.286i | −0.650911 | + | 0.418315i | ||||
\(377\) | 238.665 | + | 522.603i | 0.633063 | + | 1.38621i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −364.833 | − | 316.130i | −0.962621 | − | 0.834116i | 0.0235712 | − | 0.999722i | \(-0.492496\pi\) |
−0.986192 | + | 0.165607i | \(0.947042\pi\) | |||||||
\(380\) | −294.519 | + | 339.893i | −0.775049 | + | 0.894455i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 237.402 | − | 108.418i | 0.621470 | − | 0.283816i | ||||
\(383\) | 21.3547 | + | 33.2286i | 0.0557565 | + | 0.0867588i | 0.868013 | − | 0.496542i | \(-0.165397\pi\) |
−0.812256 | + | 0.583301i | \(0.801761\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −519.250 | + | 74.6569i | −1.34870 | + | 0.193914i | ||||
\(386\) | 94.0506 | − | 205.942i | 0.243654 | − | 0.533529i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.85744 | − | 4.44627i | 0.00736454 | − | 0.0114595i | ||||
\(389\) | 359.683 | − | 311.667i | 0.924634 | − | 0.801200i | −0.0557201 | − | 0.998446i | \(-0.517745\pi\) |
0.980354 | + | 0.197247i | \(0.0632000\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 544.782 | + | 445.715i | 1.39330 | + | 1.13994i | ||||
\(392\) | 40.5797 | 0.103520 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −128.912 | − | 82.8465i | −0.327187 | − | 0.210270i | ||||
\(395\) | −39.1535 | + | 272.319i | −0.0991228 | + | 0.689414i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 80.6577 | + | 560.987i | 0.203168 | + | 1.41306i | 0.794807 | + | 0.606862i | \(0.207572\pi\) |
−0.591639 | + | 0.806203i | \(0.701519\pi\) | |||||||
\(398\) | 2.61018 | − | 8.88946i | 0.00655825 | − | 0.0223353i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.42763 | − | 9.69516i | −0.0110691 | − | 0.0242379i | ||||
\(401\) | −1.59006 | − | 5.41524i | −0.00396523 | − | 0.0135043i | 0.957487 | − | 0.288478i | \(-0.0931491\pi\) |
−0.961452 | + | 0.274973i | \(0.911331\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 164.819 | − | 190.211i | 0.408980 | − | 0.471988i | ||||
\(404\) | 60.6394 | − | 17.8053i | 0.150098 | − | 0.0440726i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 139.468 | + | 217.017i | 0.343518 | + | 0.534525i | ||||
\(407\) | −845.934 | − | 248.389i | −2.07846 | − | 0.610292i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 64.1224 | − | 140.408i | 0.156778 | − | 0.343297i | −0.814901 | − | 0.579600i | \(-0.803209\pi\) |
0.971679 | + | 0.236304i | \(0.0759360\pi\) | |||||||
\(410\) | −44.6464 | − | 6.41918i | −0.108894 | − | 0.0156565i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 63.5082 | − | 55.0302i | 0.154146 | − | 0.133568i | ||||
\(413\) | − | 98.9408i | − | 0.239566i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −301.397 | −0.726257 | ||||||||
\(416\) | −391.141 | − | 451.401i | −0.940243 | − | 1.08510i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 62.5576 | − | 435.098i | 0.149659 | − | 1.04090i | ||||
\(419\) | 292.767 | + | 133.702i | 0.698729 | + | 0.319099i | 0.732918 | − | 0.680317i | \(-0.238158\pi\) |
−0.0341894 | + | 0.999415i | \(0.510885\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 73.0964 | − | 248.944i | 0.173626 | − | 0.591315i | −0.825992 | − | 0.563681i | \(-0.809385\pi\) |
0.999618 | − | 0.0276337i | \(-0.00879719\pi\) | |||||||
\(422\) | −339.308 | + | 218.060i | −0.804047 | + | 0.516730i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 205.004 | + | 698.181i | 0.483501 | + | 1.64665i | ||||
\(425\) | −82.2130 | − | 71.2380i | −0.193442 | − | 0.167619i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −48.4052 | + | 14.2130i | −0.113361 | + | 0.0332858i | ||||
\(428\) | −226.335 | + | 103.364i | −0.528819 | + | 0.241504i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 201.408 | + | 59.1387i | 0.468390 | + | 0.137532i | ||||
\(431\) | 110.547 | − | 15.8942i | 0.256489 | − | 0.0368775i | −0.0128709 | − | 0.999917i | \(-0.504097\pi\) |
0.269360 | + | 0.963040i | \(0.413188\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −348.348 | − | 50.0849i | −0.804499 | − | 0.115669i | −0.272216 | − | 0.962236i | \(-0.587757\pi\) |
−0.532283 | + | 0.846567i | \(0.678666\pi\) | |||||||
\(434\) | 61.0981 | − | 95.0705i | 0.140779 | − | 0.219056i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 497.500i | 1.14105i | ||||||||
\(437\) | −390.673 | − | 571.678i | −0.893989 | − | 1.30819i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −60.9655 | − | 70.3579i | −0.138874 | − | 0.160269i | 0.682052 | − | 0.731303i | \(-0.261088\pi\) |
−0.820926 | + | 0.571035i | \(0.806542\pi\) | |||||||
\(440\) | 446.054 | + | 286.661i | 1.01376 | + | 0.651503i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −550.917 | − | 251.595i | −1.24642 | − | 0.569220i | ||||
\(443\) | −27.7847 | − | 193.247i | −0.0627194 | − | 0.436223i | −0.996851 | − | 0.0792947i | \(-0.974733\pi\) |
0.934132 | − | 0.356928i | \(-0.116176\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −332.469 | + | 213.665i | −0.747122 | + | 0.480146i | ||||
\(446\) | −144.719 | − | 316.889i | −0.324481 | − | 0.710514i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −135.805 | − | 117.676i | −0.303136 | − | 0.262669i | ||||
\(449\) | 285.566 | − | 329.560i | 0.636004 | − | 0.733987i | −0.342659 | − | 0.939460i | \(-0.611328\pi\) |
0.978663 | + | 0.205472i | \(0.0658731\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −93.0897 | + | 42.5127i | −0.206407 | + | 0.0942631i | ||||
\(452\) | 197.527 | + | 307.359i | 0.437007 | + | 0.679997i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −249.996 | + | 35.9439i | −0.550651 | + | 0.0791717i | ||||
\(455\) | 295.366 | − | 646.762i | 0.649156 | − | 1.42145i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −63.3086 | + | 98.5101i | −0.138531 | + | 0.215558i | −0.903586 | − | 0.428406i | \(-0.859075\pi\) |
0.765055 | + | 0.643964i | \(0.222712\pi\) | |||||||
\(458\) | −186.732 | + | 161.804i | −0.407711 | + | 0.353283i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 338.583 | − | 58.4983i | 0.736049 | − | 0.127170i | ||||
\(461\) | 449.862 | 0.975840 | 0.487920 | − | 0.872888i | \(-0.337756\pi\) | ||||
0.487920 | + | 0.872888i | \(0.337756\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 426.367 | + | 274.010i | 0.920880 | + | 0.591814i | 0.912913 | − | 0.408155i | \(-0.133828\pi\) |
0.00796728 | + | 0.999968i | \(0.497464\pi\) | |||||||
\(464\) | −13.5950 | + | 94.5550i | −0.0292995 | + | 0.203782i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.73573 | + | 32.9377i | 0.0101625 | + | 0.0706818i | ||||
\(467\) | −181.147 | + | 616.931i | −0.387896 | + | 1.32105i | 0.501992 | + | 0.864872i | \(0.332601\pi\) |
−0.889888 | + | 0.456179i | \(0.849217\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.70879 | + | 16.8799i | 0.0164366 | + | 0.0359912i | ||||
\(470\) | 64.4503 | + | 219.498i | 0.137128 | + | 0.467016i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −65.4885 | + | 75.5778i | −0.138747 | + | 0.160122i | ||||
\(473\) | 456.965 | − | 134.177i | 0.966100 | − | 0.283672i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 57.8549 | + | 90.0239i | 0.121800 | + | 0.189524i | ||||
\(476\) | 605.709 | + | 177.852i | 1.27250 | + | 0.373639i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 156.643 | − | 343.001i | 0.327706 | − | 0.717575i | ||||
\(479\) | 437.215 | + | 62.8620i | 0.912766 | + | 0.131236i | 0.582668 | − | 0.812710i | \(-0.302009\pi\) |
0.330099 | + | 0.943946i | \(0.392918\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 903.091 | − | 782.533i | 1.87753 | − | 1.62689i | ||||
\(482\) | − | 58.2882i | − | 0.120930i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 156.628 | 0.323611 | ||||||||
\(485\) | −6.61561 | − | 7.63482i | −0.0136404 | − | 0.0157419i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 89.9279 | − | 625.462i | 0.184657 | − | 1.28432i | −0.660917 | − | 0.750459i | \(-0.729833\pi\) |
0.845574 | − | 0.533858i | \(-0.179258\pi\) | |||||||
\(488\) | 46.3827 | + | 21.1823i | 0.0950466 | + | 0.0434063i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8.98984 | − | 30.6166i | 0.0183466 | − | 0.0624828i | ||||
\(491\) | 115.699 | − | 74.3555i | 0.235640 | − | 0.151437i | −0.417492 | − | 0.908681i | \(-0.637091\pi\) |
0.653132 | + | 0.757244i | \(0.273454\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 274.687 | + | 935.499i | 0.557175 | + | 1.89756i | ||||
\(494\) | 450.263 | + | 390.155i | 0.911464 | + | 0.789788i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 40.1533 | − | 11.7901i | 0.0809543 | − | 0.0237703i | ||||
\(497\) | −667.621 | + | 304.892i | −1.34330 | + | 0.613466i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 38.1930 | + | 11.2145i | 0.0765390 | + | 0.0224739i | 0.319778 | − | 0.947493i | \(-0.396392\pi\) |
−0.243239 | + | 0.969966i | \(0.578210\pi\) | |||||||
\(500\) | 317.114 | − | 45.5941i | 0.634227 | − | 0.0911881i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 57.8015 | + | 8.31061i | 0.115143 | + | 0.0165550i | ||||
\(503\) | 28.3510 | − | 44.1150i | 0.0563638 | − | 0.0877037i | −0.811928 | − | 0.583758i | \(-0.801582\pi\) |
0.868292 | + | 0.496054i | \(0.165218\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 120.800i | − | 0.239207i | ||||||
\(506\) | −247.481 | + | 227.011i | −0.489093 | + | 0.448638i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −96.4448 | − | 111.303i | −0.189852 | − | 0.219101i | ||||
\(509\) | 203.480 | + | 130.769i | 0.399764 | + | 0.256913i | 0.725041 | − | 0.688706i | \(-0.241821\pi\) |
−0.325276 | + | 0.945619i | \(0.605457\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −388.320 | − | 177.340i | −0.759921 | − | 0.347044i | ||||
\(512\) | −26.8633 | − | 186.838i | −0.0524673 | − | 0.364918i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −143.621 | + | 92.2995i | −0.279418 | + | 0.179571i | ||||
\(515\) | −66.7247 | − | 146.107i | −0.129562 | − | 0.283702i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 392.259 | + | 339.894i | 0.758721 | + | 0.657436i | ||||
\(518\) | 351.369 | − | 405.501i | 0.678319 | − | 0.782821i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −653.710 | + | 298.539i | −1.25713 | + | 0.574114i | ||||
\(521\) | −0.164585 | − | 0.256099i | −0.000315902 | − | 0.000491553i | 0.841096 | − | 0.540887i | \(-0.181911\pi\) |
−0.841411 | + | 0.540395i | \(0.818275\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −124.369 | + | 17.8816i | −0.237800 | + | 0.0341905i | −0.260184 | − | 0.965559i | \(-0.583783\pi\) |
0.0223843 | + | 0.999749i | \(0.492874\pi\) | |||||||
\(524\) | −14.3766 | + | 31.4803i | −0.0274362 | + | 0.0600769i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −133.754 | + | 208.126i | −0.254286 | + | 0.395676i | ||||
\(527\) | 322.799 | − | 279.707i | 0.612521 | − | 0.530752i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −45.5587 | + | 527.035i | −0.0861222 | + | 0.996285i | ||||
\(530\) | 572.179 | 1.07958 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −522.417 | − | 335.737i | −0.981986 | − | 0.631084i | ||||
\(533\) | 19.7399 | − | 137.294i | 0.0370355 | − | 0.257587i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 67.6842 | + | 470.754i | 0.126513 | + | 0.879914i | ||||
\(536\) | 5.28423 | − | 17.9964i | 0.00985863 | − | 0.0335754i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −146.699 | − | 321.225i | −0.272674 | − | 0.597073i | ||||
\(539\) | −20.3966 | − | 69.4645i | −0.0378416 | − | 0.128877i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −306.844 | + | 354.117i | −0.567179 | + | 0.654559i | −0.964798 | − | 0.262991i | \(-0.915291\pi\) |
0.397619 | + | 0.917550i | \(0.369836\pi\) | |||||||
\(542\) | 424.476 | − | 124.638i | 0.783167 | − | 0.229958i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −548.010 | − | 852.721i | −1.00737 | − | 1.56750i | ||||
\(545\) | 912.403 | + | 267.906i | 1.67413 | + | 0.491570i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 80.0673 | − | 175.323i | 0.146375 | − | 0.320517i | −0.822216 | − | 0.569176i | \(-0.807262\pi\) |
0.968591 | + | 0.248658i | \(0.0799897\pi\) | |||||||
\(548\) | 29.5310 | + | 4.24592i | 0.0538887 | + | 0.00774803i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 39.2246 | − | 33.9883i | 0.0713175 | − | 0.0617970i | ||||
\(551\) | − | 959.113i | − | 1.74068i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −379.880 | −0.686945 | ||||||||
\(554\) | −164.618 | − | 189.979i | −0.297144 | − | 0.342923i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 41.7695 | − | 290.513i | 0.0751250 | − | 0.522506i | ||||
\(557\) | −163.784 | − | 74.7977i | −0.294047 | − | 0.134287i | 0.262930 | − | 0.964815i | \(-0.415311\pi\) |
−0.556976 | + | 0.830528i | \(0.688039\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −181.860 | + | 619.358i | −0.325331 | + | 1.10798i | ||||
\(560\) | 99.4551 | − | 63.9159i | 0.177598 | − | 0.114136i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −44.0735 | − | 150.100i | −0.0784225 | − | 0.267083i | ||||
\(563\) | −597.233 | − | 517.506i | −1.06081 | − | 0.919193i | −0.0639117 | − | 0.997956i | \(-0.520358\pi\) |
−0.996893 | + | 0.0787627i | \(0.974903\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 670.058 | − | 196.747i | 1.18594 | − | 0.348224i | ||||
\(566\) | 340.425 | − | 155.467i | 0.601457 | − | 0.274676i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 711.782 | + | 208.998i | 1.25314 | + | 0.367954i | ||||
\(569\) | −409.074 | + | 58.8160i | −0.718935 | + | 0.103367i | −0.492066 | − | 0.870558i | \(-0.663758\pi\) |
−0.226869 | + | 0.973925i | \(0.572849\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 252.515 | + | 36.3062i | 0.442233 | + | 0.0635836i | 0.359835 | − | 0.933016i | \(-0.382833\pi\) |
0.0823983 | + | 0.996599i | \(0.473742\pi\) | |||||||
\(572\) | −362.651 | + | 564.295i | −0.634005 | + | 0.986530i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | − | 62.2810i | − | 0.108503i | ||||||
\(575\) | 9.34177 | − | 81.2204i | 0.0162466 | − | 0.141253i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −397.587 | − | 458.840i | −0.689059 | − | 0.795217i | 0.298172 | − | 0.954512i | \(-0.403623\pi\) |
−0.987231 | + | 0.159296i | \(0.949078\pi\) | |||||||
\(578\) | −597.848 | − | 384.214i | −1.03434 | − | 0.664729i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 432.932 | + | 197.713i | 0.746435 | + | 0.340885i | ||||
\(581\) | −59.2264 | − | 411.928i | −0.101939 | − | 0.708999i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1092.11 | − | 701.855i | 1.87326 | − | 1.20387i | ||||
\(584\) | 179.245 | + | 392.491i | 0.306926 | + | 0.672074i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 140.516 | + | 121.758i | 0.239789 | + | 0.207778i | ||||
\(587\) | 334.476 | − | 386.006i | 0.569806 | − | 0.657591i | −0.395575 | − | 0.918434i | \(-0.629455\pi\) |
0.965381 | + | 0.260842i | \(0.0840002\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −382.197 | + | 174.544i | −0.648892 | + | 0.296339i | ||||
\(590\) | 42.5139 | + | 66.1529i | 0.0720574 | + | 0.112124i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 196.667 | − | 28.2765i | 0.332208 | − | 0.0477644i | ||||
\(593\) | −279.912 | + | 612.922i | −0.472027 | + | 1.03360i | 0.512552 | + | 0.858656i | \(0.328700\pi\) |
−0.984579 | + | 0.174939i | \(0.944027\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 652.353 | − | 1015.08i | 1.09639 | − | 1.70602i | ||||
\(596\) | −304.658 | + | 263.988i | −0.511171 | + | 0.442932i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −77.4940 | − | 448.528i | −0.129589 | − | 0.750047i | ||||
\(599\) | 211.026 | 0.352298 | 0.176149 | − | 0.984364i | \(-0.443636\pi\) | ||||
0.176149 | + | 0.984364i | \(0.443636\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −855.272 | − | 549.650i | −1.42308 | − | 0.914558i | −0.999964 | − | 0.00848334i | \(-0.997300\pi\) |
−0.423117 | − | 0.906075i | \(-0.639064\pi\) | |||||||
\(602\) | −41.2488 | + | 286.891i | −0.0685196 | + | 0.476564i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 25.5376 | + | 177.618i | 0.0422808 | + | 0.294070i | ||||
\(605\) | 84.3446 | − | 287.251i | 0.139413 | − | 0.474796i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 40.4700 | + | 88.6169i | 0.0666721 | + | 0.145992i | 0.940034 | − | 0.341079i | \(-0.110793\pi\) |
−0.873362 | + | 0.487071i | \(0.838065\pi\) | |||||||
\(608\) | 280.922 | + | 956.731i | 0.462042 | + | 1.57357i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 26.2570 | − | 30.3022i | 0.0430443 | − | 0.0496757i | ||||
\(611\) | −674.987 | + | 198.194i | −1.10473 | + | 0.324377i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 342.542 | + | 533.005i | 0.558796 | + | 0.869503i | 0.999605 | − | 0.0280977i | \(-0.00894496\pi\) |
−0.440810 | + | 0.897601i | \(0.645309\pi\) | |||||||
\(614\) | −520.487 | − | 152.829i | −0.847699 | − | 0.248907i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −304.137 | + | 665.966i | −0.493728 | + | 1.08111i | ||||
\(617\) | 116.455 | + | 16.7437i | 0.188743 | + | 0.0271372i | 0.236038 | − | 0.971744i | \(-0.424151\pi\) |
−0.0472948 | + | 0.998881i | \(0.515060\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −414.208 | + | 358.913i | −0.669156 | + | 0.579827i | −0.921769 | − | 0.387741i | \(-0.873256\pi\) |
0.252613 | + | 0.967568i | \(0.418710\pi\) | |||||||
\(620\) | − | 208.500i | − | 0.336290i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 606.517 | 0.975107 | ||||||||
\(623\) | −357.355 | − | 412.410i | −0.573603 | − | 0.661974i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 99.7954 | − | 694.092i | 0.159673 | − | 1.11055i | ||||
\(626\) | 459.093 | + | 209.661i | 0.733375 | + | 0.334921i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −77.4423 | + | 263.744i | −0.123316 | + | 0.419975i | ||||
\(629\) | 1705.99 | − | 1096.37i | 2.71222 | − | 1.74304i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −19.0915 | − | 65.0196i | −0.0302559 | − | 0.103042i | 0.942981 | − | 0.332847i | \(-0.108009\pi\) |
−0.973237 | + | 0.229805i | \(0.926191\pi\) | |||||||
\(632\) | 290.179 | + | 251.441i | 0.459143 | + | 0.397850i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 179.202 | − | 52.6185i | 0.282653 | − | 0.0829944i | ||||
\(635\) | −256.064 | + | 116.940i | −0.403250 | + | 0.184158i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 94.1504 | + | 27.6450i | 0.147803 | + | 0.0433988i | ||||
\(638\) | −460.444 | + | 66.2018i | −0.721699 | + | 0.103765i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −559.385 | − | 80.4275i | −0.874040 | − | 0.125668i | ||||
\(641\) | −650.539 | + | 1012.26i | −1.01488 | + | 1.57919i | −0.217184 | + | 0.976131i | \(0.569687\pi\) |
−0.797698 | + | 0.603057i | \(0.793949\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 457.000i | − | 0.710731i | −0.934727 | − | 0.355365i | \(-0.884356\pi\) | ||
0.934727 | − | 0.355365i | \(-0.115644\pi\) | |||||||
\(644\) | 146.485 | + | 451.256i | 0.227461 | + | 0.700708i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 662.115 | + | 764.121i | 1.02495 | + | 1.18285i | ||||
\(647\) | 1030.69 | + | 662.384i | 1.59303 | + | 1.02378i | 0.970475 | + | 0.241202i | \(0.0775416\pi\) |
0.622555 | + | 0.782576i | \(0.286095\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 162.291 | + | 74.1158i | 0.250063 | + | 0.114200i | ||||
\(650\) | 10.0113 | + | 69.6301i | 0.0154020 | + | 0.107123i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 195.286 | − | 125.503i | 0.299519 | − | 0.192489i | ||||
\(653\) | −415.471 | − | 909.754i | −0.636249 | − | 1.39319i | −0.903090 | − | 0.429451i | \(-0.858707\pi\) |
0.266841 | − | 0.963741i | \(-0.414020\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 49.9923 | + | 43.3186i | 0.0763242 | + | 0.0661353i | ||||
\(656\) | 15.1031 | − | 17.4299i | 0.0230230 | − | 0.0265699i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −287.329 | + | 131.219i | −0.436671 | + | 0.199421i | ||||
\(659\) | −311.819 | − | 485.199i | −0.473169 | − | 0.736266i | 0.519845 | − | 0.854261i | \(-0.325990\pi\) |
−0.993014 | + | 0.117995i | \(0.962353\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1146.15 | + | 164.791i | −1.73396 | + | 0.249306i | −0.935648 | − | 0.352934i | \(-0.885184\pi\) |
−0.798315 | + | 0.602240i | \(0.794275\pi\) | |||||||
\(662\) | −241.221 | + | 528.201i | −0.364383 | + | 0.797887i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −227.413 | + | 353.861i | −0.342489 | + | 0.532923i | ||||
\(665\) | −897.057 | + | 777.305i | −1.34896 | + | 1.16888i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −463.998 | + | 567.127i | −0.695649 | + | 0.850266i | ||||
\(668\) | −271.390 | −0.406273 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −12.4073 | − | 7.97368i | −0.0185184 | − | 0.0119010i | ||||
\(671\) | 12.9465 | − | 90.0451i | 0.0192944 | − | 0.134195i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 67.2571 | + | 467.783i | 0.0999363 | + | 0.695072i | 0.976772 | + | 0.214282i | \(0.0687411\pi\) |
−0.876836 | + | 0.480790i | \(0.840350\pi\) | |||||||
\(674\) | 28.3551 | − | 96.5687i | 0.0420699 | − | 0.143277i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −181.407 | − | 397.225i | −0.268353 | − | 0.587611i | ||||
\(677\) | −259.134 | − | 882.528i | −0.382767 | − | 1.30359i | −0.895509 | − | 0.445043i | \(-0.853188\pi\) |
0.512742 | − | 0.858543i | \(-0.328630\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.13474 | − | 10.5420i | 0.0134532 | − | 0.0155258i | ||||
\(680\) | −1170.19 | + | 343.599i | −1.72087 | + | 0.505292i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 110.174 | + | 171.435i | 0.161546 | + | 0.251371i | ||||
\(683\) | −459.820 | − | 135.015i | −0.673236 | − | 0.197680i | −0.0727925 | − | 0.997347i | \(-0.523191\pi\) |
−0.600444 | + | 0.799667i | \(0.705009\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 23.6895 | − | 51.8727i | 0.0345832 | − | 0.0757266i | ||||
\(686\) | −349.115 | − | 50.1952i | −0.508914 | − | 0.0731708i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −81.1147 | + | 70.2863i | −0.117899 | + | 0.102160i | ||||
\(689\) | 1759.53i | 2.55375i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 44.7442 | 0.0647528 | 0.0323764 | − | 0.999476i | \(-0.489692\pi\) | ||||
0.0323764 | + | 0.999476i | \(0.489692\pi\) | |||||||
\(692\) | 127.032 | + | 146.603i | 0.183572 | + | 0.211854i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 90.1204 | − | 626.801i | 0.129857 | − | 0.903172i | ||||
\(695\) | −510.301 | − | 233.047i | −0.734246 | − | 0.335319i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 66.3174 | − | 225.856i | 0.0951469 | − | 0.324041i | ||||
\(698\) | −218.516 | + | 140.432i | −0.313060 | + | 0.201191i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −20.6575 | − | 70.3531i | −0.0295108 | − | 0.100504i | ||||
\(701\) | −461.432 | − | 399.833i | −0.658248 | − | 0.570375i | 0.260376 | − | 0.965507i | \(-0.416153\pi\) |
−0.918624 | + | 0.395132i | \(0.870699\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1914.08 | + | 562.023i | −2.72273 | + | 0.799464i | ||||
\(704\) | 294.752 | − | 134.609i | 0.418682 | − | 0.191206i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −52.9829 | − | 15.5572i | −0.0750466 | − | 0.0220357i | ||||
\(707\) | 165.101 | − | 23.7379i | 0.233523 | − | 0.0335755i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 383.213 | + | 55.0977i | 0.540498 | + | 0.0777118i | 0.407157 | − | 0.913358i | \(-0.366520\pi\) |
0.133341 | + | 0.991070i | \(0.457429\pi\) | |||||||
\(710\) | 315.369 | − | 490.724i | 0.444182 | − | 0.691161i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 551.558i | 0.774661i | ||||||||
\(713\) | 310.435 | + | 81.6902i | 0.435393 | + | 0.114573i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 839.616 | + | 968.968i | 1.17429 | + | 1.35520i | ||||
\(716\) | −4.49913 | − | 2.89142i | −0.00628371 | − | 0.00403829i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 48.2242 | + | 22.0233i | 0.0671647 | + | 0.0306731i | ||||
\(719\) | 150.493 | + | 1046.70i | 0.209308 | + | 1.45577i | 0.775421 | + | 0.631444i | \(0.217537\pi\) |
−0.566113 | + | 0.824328i | \(0.691553\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 186.577 | − | 119.906i | 0.258775 | − | 0.166305i | ||||
\(722\) | −248.601 | − | 544.361i | −0.344323 | − | 0.753962i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −160.452 | − | 139.033i | −0.221619 | − | 0.192034i | ||||
\(725\) | 74.1600 | − | 85.5853i | 0.102290 | − | 0.118049i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 80.1084 | − | 36.5843i | 0.110190 | − | 0.0503222i | −0.359557 | − | 0.933123i | \(-0.617072\pi\) |
0.469747 | + | 0.882801i | \(0.344345\pi\) | |||||||
\(728\) | −536.481 | − | 834.781i | −0.736924 | − | 1.14668i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 335.836 | − | 48.2859i | 0.460049 | − | 0.0661450i | ||||
\(731\) | −455.070 | + | 996.463i | −0.622530 | + | 1.36315i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 239.267 | − | 372.306i | 0.326421 | − | 0.507921i | −0.638794 | − | 0.769378i | \(-0.720566\pi\) |
0.965215 | + | 0.261456i | \(0.0842028\pi\) | |||||||
\(734\) | −1.07034 | + | 0.927458i | −0.00145823 | + | 0.00126357i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 296.735 | − | 701.623i | 0.403173 | − | 0.953292i | ||||
\(737\) | −33.4624 | −0.0454035 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −337.304 | − | 216.772i | −0.456432 | − | 0.293331i | 0.292151 | − | 0.956372i | \(-0.405629\pi\) |
−0.748583 | + | 0.663041i | \(0.769266\pi\) | |||||||
\(740\) | 140.881 | − | 979.847i | 0.190379 | − | 1.32412i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 112.437 | + | 782.015i | 0.151532 | + | 1.05393i | ||||
\(743\) | 39.8702 | − | 135.785i | 0.0536611 | − | 0.182753i | −0.928301 | − | 0.371829i | \(-0.878731\pi\) |
0.981963 | + | 0.189076i | \(0.0605491\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 320.088 | + | 700.894i | 0.429648 | + | 0.940798i | ||||
\(746\) | 207.849 | + | 707.868i | 0.278618 | + | 0.948885i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −745.459 | + | 860.306i | −0.996604 | + | 1.15014i | ||||
\(749\) | −630.094 | + | 185.012i | −0.841247 | + | 0.247012i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −289.753 | − | 450.865i | −0.385824 | − | 0.600353i | 0.592965 | − | 0.805229i | \(-0.297957\pi\) |
−0.978788 | + | 0.204875i | \(0.934321\pi\) | |||||||
\(752\) | −112.232 | − | 32.9543i | −0.149245 | − | 0.0438223i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 261.915 | − | 573.515i | 0.347368 | − | 0.760629i | ||||
\(755\) | 339.500 | + | 48.8127i | 0.449668 | + | 0.0646525i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 486.222 | − | 421.313i | 0.642301 | − | 0.556557i | −0.271643 | − | 0.962398i | \(-0.587567\pi\) |
0.913943 | + | 0.405842i | \(0.133022\pi\) | |||||||
\(758\) | 529.772i | 0.698908i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1199.73 | 1.57859 | ||||||||
\(761\) | −901.010 | − | 1039.82i | −1.18398 | − | 1.36639i | −0.915107 | − | 0.403212i | \(-0.867894\pi\) |
−0.268874 | − | 0.963175i | \(-0.586652\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −186.862 | + | 1299.65i | −0.244904 | + | 1.70335i | ||||
\(764\) | 604.780 | + | 276.194i | 0.791596 | + | 0.361510i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.2122 | − | 41.5910i | 0.0159429 | − | 0.0542964i | ||||
\(767\) | −203.430 | + | 130.736i | −0.265228 | + | 0.170452i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −228.694 | − | 778.860i | −0.297391 | − | 1.01282i | −0.963665 | − | 0.267115i | \(-0.913930\pi\) |
0.666273 | − | 0.745708i | \(-0.267888\pi\) | |||||||
\(770\) | 435.081 | + | 377.000i | 0.565040 | + | 0.489610i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 553.394 | − | 162.491i | 0.716832 | − | 0.210481i | ||||
\(773\) | −349.779 | + | 159.739i | −0.452495 | + | 0.206648i | −0.628608 | − | 0.777722i | \(-0.716375\pi\) |
0.176113 | + | 0.984370i | \(0.443648\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −47.6009 | − | 13.9769i | −0.0614205 | − | 0.0180347i | ||||
\(776\) | −13.9555 | + | 2.00649i | −0.0179839 | + | 0.00258569i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −516.977 | − | 74.3300i | −0.664494 | − | 0.0955399i | ||||
\(779\) | −125.189 | + | 194.798i | −0.160705 | + | 0.250062i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 1323.48i | − | 1.69460i | ||||||
\(782\) | −21.8462 | − | 772.144i | −0.0279363 | − | 0.987397i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 10.6844 | + | 12.3305i | 0.0136281 | + | 0.0157277i | ||||
\(785\) | 441.998 | + | 284.055i | 0.563055 | + | 0.361853i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −663.192 | − | 302.870i | −0.842684 | − | 0.384841i | −0.0531790 | − | 0.998585i | \(-0.516935\pi\) |
−0.789505 | + | 0.613744i | \(0.789663\pi\) | |||||||
\(788\) | −55.5558 | − | 386.399i | −0.0705022 | − | 0.490354i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 253.992 | − | 163.231i | 0.321509 | − | 0.206621i | ||||
\(791\) | 400.571 | + | 877.127i | 0.506410 | + | 1.10888i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 93.1837 | + | 80.7441i | 0.117508 | + | 0.101821i | ||||
\(794\) | 407.303 | − | 470.052i | 0.512976 | − | 0.592005i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 21.4691 | − | 9.80459i | 0.0269712 | − | 0.0123173i | ||||
\(797\) | −448.066 | − | 697.204i | −0.562190 | − | 0.874785i | 0.437511 | − | 0.899213i | \(-0.355860\pi\) |
−0.999702 | + | 0.0244278i | \(0.992224\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1181.70 | + | 169.902i | −1.47897 | + | 0.212644i | ||||
\(800\) | −48.9082 | + | 107.094i | −0.0611352 | + | 0.133867i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −3.34856 | + | 5.21046i | −0.00417526 | + | 0.00649683i | ||||
\(803\) | 581.774 | − | 504.110i | 0.724501 | − | 0.627784i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 906.476 | − | 25.6468i | 1.12606 | − | 0.0318594i | ||||
\(806\) | −276.205 | −0.342686 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −141.827 | − | 91.1467i | −0.175529 | − | 0.112805i | ||||
\(809\) | −36.3898 | + | 253.097i | −0.0449813 | + | 0.312852i | 0.954892 | + | 0.296952i | \(0.0959702\pi\) |
−0.999874 | + | 0.0158993i | \(0.994939\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −162.096 | − | 1127.40i | −0.199872 | − | 1.39014i | −0.804652 | − | 0.593747i | \(-0.797648\pi\) |
0.604780 | − | 0.796393i | \(-0.293261\pi\) | |||||||
\(812\) | −185.147 | + | 630.554i | −0.228014 | + | 0.776544i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 401.929 | + | 880.102i | 0.493771 | + | 1.08121i | ||||
\(815\) | −125.007 | − | 425.734i | −0.153383 | − | 0.522373i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 705.688 | − | 814.407i | 0.863755 | − | 0.996827i | ||||
\(818\) | −162.533 | + | 47.7240i | −0.198696 | + | 0.0583423i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −62.1229 | − | 96.6651i | −0.0757596 | − | 0.117884i | ||||
\(821\) | 4.96255 | + | 1.45714i | 0.00604452 | + | 0.00177483i | 0.284753 | − | 0.958601i | \(-0.408088\pi\) |
−0.278709 | + | 0.960376i | \(0.589906\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 246.020 | − | 538.709i | 0.298931 | − | 0.654567i | −0.699249 | − | 0.714878i | \(-0.746482\pi\) |
0.998180 | + | 0.0603112i | \(0.0192093\pi\) | |||||||
\(824\) | −221.885 | − | 31.9023i | −0.269278 | − | 0.0387163i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −82.0590 | + | 71.1045i | −0.0993450 | + | 0.0860829i | ||||
\(827\) | − | 1221.72i | − | 1.47729i | −0.674097 | − | 0.738643i | \(-0.735467\pi\) | ||
0.674097 | − | 0.738643i | \(-0.264533\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 591.345 | 0.713323 | 0.356662 | − | 0.934234i | \(-0.383915\pi\) | ||||
0.356662 | + | 0.934234i | \(0.383915\pi\) | |||||||
\(830\) | 216.601 | + | 249.971i | 0.260965 | + | 0.301170i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −62.5029 | + | 434.717i | −0.0751237 | + | 0.522497i | ||||
\(833\) | 151.475 | + | 69.1764i | 0.181843 | + | 0.0830449i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −146.145 | + | 497.724i | −0.175024 | + | 0.596076i | ||||
\(836\) | 942.042 | − | 605.413i | 1.12684 | − | 0.724179i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −99.5100 | − | 338.900i | −0.118747 | − | 0.404415i | ||||
\(839\) | 669.203 | + | 579.868i | 0.797620 | + | 0.691141i | 0.955068 | − | 0.296386i | \(-0.0957814\pi\) |
−0.157449 | + | 0.987527i | \(0.550327\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −166.938 | + | 49.0173i | −0.198499 | + | 0.0582846i | ||||
\(842\) | −258.999 | + | 118.281i | −0.307599 | + | 0.140476i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −985.876 | − | 289.479i | −1.16810 | − | 0.342985i | ||||
\(845\) | −826.190 | + | 118.788i | −0.977739 | + | 0.140578i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 409.170 | + | 58.8297i | 0.483081 | + | 0.0694566i | ||||
\(848\) | −158.171 | + | 246.120i | −0.186523 | + | 0.290235i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 119.381i | 0.140448i | ||||||||
\(851\) | 1403.70 | + | 593.661i | 1.64947 | + | 0.697604i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −748.264 | − | 863.542i | −0.877214 | − | 1.01236i | −0.999802 | − | 0.0199013i | \(-0.993665\pi\) |
0.122588 | − | 0.992458i | \(-0.460881\pi\) | |||||||
\(854\) | 46.5746 | + | 29.9317i | 0.0545370 | + | 0.0350488i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 603.768 | + | 275.732i | 0.705336 | + | 0.322116i | ||||
\(857\) | −52.9406 | − | 368.210i | −0.0617744 | − | 0.429650i | −0.997115 | − | 0.0759024i | \(-0.975816\pi\) |
0.935341 | − | 0.353748i | \(-0.115093\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −748.132 | + | 480.795i | −0.870933 | + | 0.559715i | −0.898038 | − | 0.439918i | \(-0.855008\pi\) |
0.0271047 | + | 0.999633i | \(0.491371\pi\) | |||||||
\(860\) | 222.142 | + | 486.423i | 0.258304 | + | 0.565608i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −92.6274 | − | 80.2621i | −0.107456 | − | 0.0931115i | ||||
\(863\) | −243.898 | + | 281.474i | −0.282617 | + | 0.326157i | −0.879253 | − | 0.476354i | \(-0.841958\pi\) |
0.596637 | + | 0.802512i | \(0.296503\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 337.273 | − | 154.028i | 0.389911 | − | 0.178067i | ||||
\(866\) | 208.803 | + | 324.905i | 0.241113 | + | 0.375178i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 284.963 | − | 40.9716i | 0.328299 | − | 0.0472023i | ||||
\(869\) | 284.565 | − | 623.111i | 0.327463 | − | 0.717044i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 24.5202 | − | 38.1542i | 0.0281518 | − | 0.0438051i | ||||
\(872\) | 1002.97 | − | 869.082i | 1.15020 | − | 0.996653i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −193.375 | + | 734.855i | −0.221253 | + | 0.840795i | ||||
\(875\) | 845.544 | 0.966337 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 250.866 | + | 161.222i | 0.286050 | + | 0.183833i | 0.675795 | − | 0.737090i | \(-0.263800\pi\) |
−0.389745 | + | 0.920923i | \(0.627437\pi\) | |||||||
\(878\) | −14.5398 | + | 101.126i | −0.0165601 | + | 0.115178i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 30.3392 | + | 211.013i | 0.0344763 | + | 0.239788i | ||||
\(881\) | −297.482 | + | 1013.13i | −0.337664 | + | 1.14998i | 0.599293 | + | 0.800530i | \(0.295449\pi\) |
−0.936956 | + | 0.349447i | \(0.886370\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 334.427 | + | 732.292i | 0.378739 | + | 0.829323i | 0.998991 | + | 0.0449199i | \(0.0143033\pi\) |
−0.620252 | + | 0.784403i | \(0.712969\pi\) | |||||||
\(884\) | −434.681 | − | 1480.39i | −0.491721 | − | 1.67465i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −140.306 | + | 161.922i | −0.158359 | + | 0.182756i | ||||
\(887\) | 952.295 | − | 279.619i | 1.07361 | − | 0.315241i | 0.303292 | − | 0.952898i | \(-0.401914\pi\) |
0.770321 | + | 0.637656i | \(0.220096\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −210.144 | − | 326.991i | −0.236383 | − | 0.367818i | ||||
\(890\) | 416.140 | + | 122.190i | 0.467572 | + | 0.137292i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 368.670 | − | 807.274i | 0.413307 | − | 0.905016i | ||||
\(893\) | 1162.45 | + | 167.135i | 1.30174 | + | 0.187161i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.72560 | + | 6.69427i | −0.00863195 | + | 0.00747963i | ||||
\(896\) | − | 780.334i | − | 0.870908i | ||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −478.553 | −0.532909 | ||||||||
\(899\) | 291.180 | + | 336.039i | 0.323893 | + | 0.373792i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −424.955 | + | 2955.63i | −0.471649 | + | 3.28039i | ||||
\(902\) | 102.158 | + | 46.6542i | 0.113258 | + | 0.0517231i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 274.584 | − | 935.146i | 0.303743 | − | 1.03445i | ||||
\(905\) | −341.387 | + | 219.396i | −0.377224 | + | 0.242427i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 75.9138 | + | 258.539i | 0.0836977 | + | 0.285048i | 0.990697 | − | 0.136083i | \(-0.0434514\pi\) |
−0.907000 | + | 0.421131i | \(0.861633\pi\) | |||||||
\(908\) | −486.258 | − | 421.345i | −0.535526 | − | 0.464036i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −748.674 | + | 219.831i | −0.822719 | + | 0.241572i | ||||
\(911\) | 31.8137 | − | 14.5288i | 0.0349218 | − | 0.0159482i | −0.397878 | − | 0.917439i | \(-0.630253\pi\) |
0.432799 | + | 0.901490i | \(0.357526\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 720.045 | + | 211.424i | 0.788659 | + | 0.231571i | ||||
\(914\) | 127.199 | − | 18.2884i | 0.139167 | − | 0.0200092i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −623.031 | − | 89.5784i | −0.680165 | − | 0.0977930i | ||||
\(917\) | −49.3811 | + | 76.8384i | −0.0538507 | + | 0.0837933i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 431.665i | − | 0.469712i | −0.972030 | − | 0.234856i | \(-0.924538\pi\) | ||
0.972030 | − | 0.234856i | \(-0.0754619\pi\) | |||||||
\(920\) | −709.404 | − | 580.402i | −0.771091 | − | 0.630872i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −323.297 | − | 373.104i | −0.350647 | − | 0.404668i | ||||
\(923\) | 1509.05 | + | 969.807i | 1.63494 | + | 1.05071i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −214.257 | − | 97.8478i | −0.231629 | − | 0.105781i | ||||
\(926\) | −79.1553 | − | 550.537i | −0.0854809 | − | 0.594533i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 887.698 | − | 570.489i | 0.956571 | − | 0.614751i | ||||
\(929\) | −364.043 | − | 797.142i | −0.391865 | − | 0.858065i | −0.998031 | − | 0.0627264i | \(-0.980020\pi\) |
0.606166 | − | 0.795338i | \(-0.292707\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −123.800 | − | 107.274i | −0.132976 | − | 0.115224i | ||||
\(932\) | −55.5135 | + | 64.0660i | −0.0595639 | + | 0.0687404i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 641.850 | − | 293.123i | 0.687205 | − | 0.313836i | ||||
\(935\) | 1176.35 | + | 1830.43i | 1.25813 | + | 1.95768i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 802.462 | − | 115.377i | 0.856416 | − | 0.123134i | 0.299900 | − | 0.953971i | \(-0.403047\pi\) |
0.556516 | + | 0.830837i | \(0.312138\pi\) | |||||||
\(938\) | 8.45977 | − | 18.5243i | 0.00901895 | − | 0.0197487i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −315.072 | + | 490.262i | −0.335183 | + | 0.521556i | ||||
\(941\) | −355.128 | + | 307.721i | −0.377395 | + | 0.327014i | −0.822817 | − | 0.568306i | \(-0.807599\pi\) |
0.445422 | + | 0.895321i | \(0.353053\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 168.264 | − | 54.6213i | 0.178435 | − | 0.0579229i | ||||
\(944\) | −40.2077 | −0.0425929 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −439.684 | − | 282.568i | −0.464782 | − | 0.298697i | ||||
\(947\) | 51.4354 | − | 357.741i | 0.0543141 | − | 0.377763i | −0.944476 | − | 0.328581i | \(-0.893430\pi\) |
0.998790 | − | 0.0491815i | \(-0.0156613\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 148.486 | + | 1032.74i | 0.156466 | + | 1.08824i | ||||
\(950\) | 33.0857 | − | 112.680i | 0.0348271 | − | 0.118610i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −699.557 | − | 1531.82i | −0.734829 | − | 1.60905i | ||||
\(953\) | 72.1360 | + | 245.673i | 0.0756936 | + | 0.257789i | 0.988643 | − | 0.150285i | \(-0.0480190\pi\) |
−0.912949 | + | 0.408073i | \(0.866201\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 832.209 | − | 960.421i | 0.871423 | − | 1.00568i | ||||
\(956\) | 921.690 | − | 270.633i | 0.964111 | − | 0.283088i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −262.071 | − | 407.791i | −0.273561 | − | 0.425669i | ||||
\(959\) | 75.5512 | + | 22.1838i | 0.0787813 | + | 0.0231323i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −318.296 | + | 696.970i | −0.331213 | + | 0.725255i | ||||
\(962\) | −1298.03 | − | 186.628i | −1.34930 | − | 0.194000i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 112.220 | − | 97.2395i | 0.116411 | − | 0.100871i | ||||
\(965\) | − | 1102.41i | − | 1.14240i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 65.2549 | 0.0674818 | 0.0337409 | − | 0.999431i | \(-0.489258\pi\) | ||||
0.0337409 | + | 0.999431i | \(0.489258\pi\) | |||||||
\(968\) | −273.613 | − | 315.766i | −0.282658 | − | 0.326204i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.57777 | + | 10.9736i | −0.00162657 | + | 0.0113130i | ||||
\(971\) | 144.193 | + | 65.8508i | 0.148500 | + | 0.0678175i | 0.488279 | − | 0.872688i | \(-0.337625\pi\) |
−0.339779 | + | 0.940505i | \(0.610352\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 218.235 | − | 743.240i | 0.224291 | − | 0.763864i | ||||
\(974\) | −583.370 | + | 374.909i | −0.598942 | + | 0.384917i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.77591 | + | 19.6710i | 0.00591794 | + | 0.0201547i | ||||
\(977\) | 623.117 | + | 539.934i | 0.637787 | + | 0.552645i | 0.912601 | − | 0.408852i | \(-0.134071\pi\) |
−0.274814 | + | 0.961497i | \(0.588616\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 944.160 | − | 277.230i | 0.964413 | − | 0.283177i | ||||
\(980\) | 73.9425 | − | 33.7684i | 0.0754515 | − | 0.0344575i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −144.817 | − | 42.5220i | −0.147471 | − | 0.0433015i | ||||
\(983\) | 1754.69 | − | 252.287i | 1.78504 | − | 0.256650i | 0.830987 | − | 0.556292i | \(-0.187776\pi\) |
0.954052 | + | 0.299642i | \(0.0968672\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −738.564 | − | 106.189i | −0.749811 | − | 0.107807i | ||||
\(986\) | 578.473 | − | 900.121i | 0.586687 | − | 0.912902i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1517.76i | 1.53619i | ||||||||
\(989\) | −811.268 | + | 140.166i | −0.820292 | + | 0.141725i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 76.8760 | + | 88.7197i | 0.0775742 | + | 0.0895254i | 0.793210 | − | 0.608948i | \(-0.208408\pi\) |
−0.715636 | + | 0.698474i | \(0.753863\pi\) | |||||||
\(992\) | −388.881 | − | 249.919i | −0.392018 | − | 0.251934i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 732.660 | + | 334.595i | 0.737083 | + | 0.336615i | ||||
\(995\) | −6.42021 | − | 44.6536i | −0.00645248 | − | 0.0448780i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −759.734 | + | 488.252i | −0.762020 | + | 0.489721i | −0.863023 | − | 0.505165i | \(-0.831431\pi\) |
0.101002 | + | 0.994886i | \(0.467795\pi\) | |||||||
\(998\) | −18.1467 | − | 39.7356i | −0.0181830 | − | 0.0398153i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 207.3.j.c.10.3 | ✓ | 80 | |
3.2 | odd | 2 | inner | 207.3.j.c.10.6 | yes | 80 | |
23.7 | odd | 22 | inner | 207.3.j.c.145.3 | yes | 80 | |
69.53 | even | 22 | inner | 207.3.j.c.145.6 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
207.3.j.c.10.3 | ✓ | 80 | 1.1 | even | 1 | trivial | |
207.3.j.c.10.6 | yes | 80 | 3.2 | odd | 2 | inner | |
207.3.j.c.145.3 | yes | 80 | 23.7 | odd | 22 | inner | |
207.3.j.c.145.6 | yes | 80 | 69.53 | even | 22 | inner |