Newspace parameters
Level: | \( N \) | = | \( 31 \) |
Weight: | \( k \) | = | \( 2 \) |
Character orbit: | \([\chi]\) | = | 31.g (of order \(15\) and degree \(8\)) |
Newform invariants
Self dual: | No |
Analytic conductor: | \(0.247536246266\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Root | \(0.176392i\) | ||
Character | \(\chi\) | = | 31.7 |
Dual form | 31.2.g.a.9.2 |
$q$-expansion
Character Values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/31\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{14}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.380762 | + | 1.17187i | 0.269240 | + | 0.828634i | 0.990686 | + | 0.136164i | \(0.0434774\pi\) |
−0.721447 | + | 0.692470i | \(0.756523\pi\) | |||||||
\(3\) | −2.02963 | + | 0.431412i | −1.17181 | + | 0.249076i | −0.752390 | − | 0.658718i | \(-0.771099\pi\) |
−0.419418 | + | 0.907793i | \(0.637766\pi\) | |||||||
\(4\) | 0.389745 | − | 0.283166i | 0.194873 | − | 0.141583i | ||||
\(5\) | 0.772811 | − | 1.33855i | 0.345612 | − | 0.598617i | −0.639853 | − | 0.768497i | \(-0.721005\pi\) |
0.985465 | + | 0.169880i | \(0.0543381\pi\) | |||||||
\(6\) | −1.27836 | − | 2.21419i | −0.521890 | − | 0.903939i | ||||
\(7\) | −3.47491 | − | 1.54713i | −1.31339 | − | 0.584759i | −0.373943 | − | 0.927452i | \(-0.621995\pi\) |
−0.939448 | + | 0.342692i | \(0.888661\pi\) | |||||||
\(8\) | 2.47393 | + | 1.79742i | 0.874666 | + | 0.635482i | ||||
\(9\) | 1.19265 | − | 0.531003i | 0.397551 | − | 0.177001i | ||||
\(10\) | 1.86286 | + | 0.395962i | 0.589087 | + | 0.125214i | ||||
\(11\) | 0.393186 | + | 3.74092i | 0.118550 | + | 1.12793i | 0.878432 | + | 0.477868i | \(0.158590\pi\) |
−0.759882 | + | 0.650061i | \(0.774743\pi\) | |||||||
\(12\) | −0.668878 | + | 0.742864i | −0.193088 | + | 0.214446i | ||||
\(13\) | −1.76320 | − | 1.95823i | −0.489024 | − | 0.543116i | 0.447240 | − | 0.894414i | \(-0.352407\pi\) |
−0.936264 | + | 0.351298i | \(0.885740\pi\) | |||||||
\(14\) | 0.489913 | − | 4.66121i | 0.130935 | − | 1.24576i | ||||
\(15\) | −0.991057 | + | 3.05016i | −0.255890 | + | 0.787548i | ||||
\(16\) | −0.866611 | + | 2.66715i | −0.216653 | + | 0.666789i | ||||
\(17\) | −0.394526 | + | 3.75366i | −0.0956866 | + | 0.910397i | 0.836390 | + | 0.548135i | \(0.184662\pi\) |
−0.932076 | + | 0.362262i | \(0.882005\pi\) | |||||||
\(18\) | 1.07638 | + | 1.19544i | 0.253705 | + | 0.281768i | ||||
\(19\) | 4.08057 | − | 4.53193i | 0.936147 | − | 1.03970i | −0.0629842 | − | 0.998015i | \(-0.520062\pi\) |
0.999131 | − | 0.0416817i | \(-0.0132716\pi\) | |||||||
\(20\) | −0.0778325 | − | 0.740527i | −0.0174039 | − | 0.165587i | ||||
\(21\) | 7.72023 | + | 1.64099i | 1.68469 | + | 0.358092i | ||||
\(22\) | −4.23414 | + | 1.88516i | −0.902722 | + | 0.401918i | ||||
\(23\) | −0.736082 | − | 0.534795i | −0.153484 | − | 0.111512i | 0.508393 | − | 0.861125i | \(-0.330240\pi\) |
−0.661877 | + | 0.749613i | \(0.730240\pi\) | |||||||
\(24\) | −5.79659 | − | 2.58081i | −1.18322 | − | 0.526805i | ||||
\(25\) | 1.30553 | + | 2.26124i | 0.261105 | + | 0.452247i | ||||
\(26\) | 1.62343 | − | 2.81186i | 0.318380 | − | 0.551450i | ||||
\(27\) | 2.84451 | − | 2.06665i | 0.547425 | − | 0.397728i | ||||
\(28\) | −1.79242 | + | 0.380991i | −0.338736 | + | 0.0720006i | ||||
\(29\) | −2.10397 | − | 6.47535i | −0.390697 | − | 1.20244i | −0.932262 | − | 0.361784i | \(-0.882168\pi\) |
0.541565 | − | 0.840659i | \(-0.317832\pi\) | |||||||
\(30\) | −3.95173 | −0.721485 | ||||||||
\(31\) | −3.88819 | + | 3.98522i | −0.698339 | + | 0.715767i | ||||
\(32\) | 2.66037 | 0.470292 | ||||||||
\(33\) | −2.41190 | − | 7.42306i | −0.419858 | − | 1.29219i | ||||
\(34\) | −4.54901 | + | 0.966922i | −0.780149 | + | 0.165826i | ||||
\(35\) | −4.75635 | + | 3.45569i | −0.803970 | + | 0.584119i | ||||
\(36\) | 0.314468 | − | 0.544675i | 0.0524114 | − | 0.0907792i | ||||
\(37\) | 0.907032 | + | 1.57103i | 0.149115 | + | 0.258275i | 0.930901 | − | 0.365272i | \(-0.119024\pi\) |
−0.781786 | + | 0.623547i | \(0.785691\pi\) | |||||||
\(38\) | 6.86454 | + | 3.05629i | 1.11358 | + | 0.495796i | ||||
\(39\) | 4.42345 | + | 3.21383i | 0.708320 | + | 0.514624i | ||||
\(40\) | 4.31781 | − | 1.92241i | 0.682705 | − | 0.303960i | ||||
\(41\) | −0.329777 | − | 0.0700963i | −0.0515026 | − | 0.0109472i | 0.182088 | − | 0.983282i | \(-0.441714\pi\) |
−0.233591 | + | 0.972335i | \(0.575048\pi\) | |||||||
\(42\) | 1.01656 | + | 9.67189i | 0.156858 | + | 1.49241i | ||||
\(43\) | 2.59890 | − | 2.88637i | 0.396329 | − | 0.440167i | −0.511644 | − | 0.859198i | \(-0.670963\pi\) |
0.907972 | + | 0.419030i | \(0.137630\pi\) | |||||||
\(44\) | 1.21255 | + | 1.34667i | 0.182798 | + | 0.203018i | ||||
\(45\) | 0.210922 | − | 2.00679i | 0.0314424 | − | 0.299154i | ||||
\(46\) | 0.346435 | − | 1.06622i | 0.0510791 | − | 0.157205i | ||||
\(47\) | −0.367467 | + | 1.13095i | −0.0536005 | + | 0.164965i | −0.974273 | − | 0.225370i | \(-0.927641\pi\) |
0.920673 | + | 0.390335i | \(0.127641\pi\) | |||||||
\(48\) | 0.608260 | − | 5.78721i | 0.0877948 | − | 0.835311i | ||||
\(49\) | 4.99745 | + | 5.55023i | 0.713922 | + | 0.792890i | ||||
\(50\) | −2.15277 | + | 2.39089i | −0.304448 | + | 0.338123i | ||||
\(51\) | −0.818631 | − | 7.78876i | −0.114631 | − | 1.09064i | ||||
\(52\) | −1.24171 | − | 0.263933i | −0.172194 | − | 0.0366009i | ||||
\(53\) | −2.14147 | + | 0.953442i | −0.294153 | + | 0.130965i | −0.548507 | − | 0.836146i | \(-0.684804\pi\) |
0.254354 | + | 0.967111i | \(0.418137\pi\) | |||||||
\(54\) | 3.50492 | + | 2.54647i | 0.476959 | + | 0.346531i | ||||
\(55\) | 5.31126 | + | 2.36473i | 0.716170 | + | 0.318859i | ||||
\(56\) | −5.81584 | − | 10.0733i | −0.777175 | − | 1.34611i | ||||
\(57\) | −6.32692 | + | 10.9586i | −0.838022 | + | 1.45150i | ||||
\(58\) | 6.78713 | − | 4.93114i | 0.891194 | − | 0.647490i | ||||
\(59\) | −7.60885 | + | 1.61731i | −0.990587 | + | 0.210556i | −0.674581 | − | 0.738201i | \(-0.735676\pi\) |
−0.316007 | + | 0.948757i | \(0.602342\pi\) | |||||||
\(60\) | 0.477443 | + | 1.46942i | 0.0616377 | + | 0.189701i | ||||
\(61\) | −2.72343 | −0.348700 | −0.174350 | − | 0.984684i | \(-0.555782\pi\) | ||||
−0.174350 | + | 0.984684i | \(0.555782\pi\) | |||||||
\(62\) | −6.15062 | − | 3.03901i | −0.781130 | − | 0.385954i | ||||
\(63\) | −4.96588 | −0.625642 | ||||||||
\(64\) | 2.74619 | + | 8.45191i | 0.343274 | + | 1.05649i | ||||
\(65\) | −3.98381 | + | 0.846786i | −0.494131 | + | 0.105031i | ||||
\(66\) | 7.78047 | − | 5.65284i | 0.957709 | − | 0.695817i | ||||
\(67\) | 3.71059 | − | 6.42693i | 0.453321 | − | 0.785175i | −0.545269 | − | 0.838261i | \(-0.683573\pi\) |
0.998590 | + | 0.0530864i | \(0.0169059\pi\) | |||||||
\(68\) | 0.909147 | + | 1.57469i | 0.110250 | + | 0.190959i | ||||
\(69\) | 1.72469 | + | 0.767882i | 0.207628 | + | 0.0924421i | ||||
\(70\) | −5.86065 | − | 4.25801i | −0.700481 | − | 0.508929i | ||||
\(71\) | −4.65742 | + | 2.07362i | −0.552734 | + | 0.246093i | −0.664045 | − | 0.747693i | \(-0.731162\pi\) |
0.111311 | + | 0.993786i | \(0.464495\pi\) | |||||||
\(72\) | 3.90497 | + | 0.830027i | 0.460205 | + | 0.0978196i | ||||
\(73\) | −0.563591 | − | 5.36221i | −0.0659633 | − | 0.627599i | −0.976700 | − | 0.214611i | \(-0.931152\pi\) |
0.910736 | − | 0.412988i | \(-0.135515\pi\) | |||||||
\(74\) | −1.49567 | + | 1.66111i | −0.173868 | + | 0.193100i | ||||
\(75\) | −3.62526 | − | 4.02626i | −0.418609 | − | 0.464912i | ||||
\(76\) | 0.307091 | − | 2.92178i | 0.0352258 | − | 0.335151i | ||||
\(77\) | 4.42139 | − | 13.6076i | 0.503865 | − | 1.55074i | ||||
\(78\) | −2.08189 | + | 6.40740i | −0.235728 | + | 0.725495i | ||||
\(79\) | 1.01782 | − | 9.68388i | 0.114513 | − | 1.08952i | −0.774795 | − | 0.632213i | \(-0.782147\pi\) |
0.889308 | − | 0.457309i | \(-0.151187\pi\) | |||||||
\(80\) | 2.90039 | + | 3.22121i | 0.324273 | + | 0.360142i | ||||
\(81\) | −7.50241 | + | 8.33227i | −0.833601 | + | 0.925808i | ||||
\(82\) | −0.0434232 | − | 0.413145i | −0.00479530 | − | 0.0456242i | ||||
\(83\) | 8.21169 | + | 1.74545i | 0.901350 | + | 0.191588i | 0.635204 | − | 0.772345i | \(-0.280916\pi\) |
0.266147 | + | 0.963933i | \(0.414249\pi\) | |||||||
\(84\) | 3.47359 | − | 1.54654i | 0.379000 | − | 0.168742i | ||||
\(85\) | 4.71957 | + | 3.42897i | 0.511909 | + | 0.371924i | ||||
\(86\) | 4.37200 | + | 1.94654i | 0.471445 | + | 0.209901i | ||||
\(87\) | 7.06383 | + | 12.2349i | 0.757322 | + | 1.31172i | ||||
\(88\) | −5.75127 | + | 9.96149i | −0.613087 | + | 1.06190i | ||||
\(89\) | −4.12243 | + | 2.99512i | −0.436976 | + | 0.317482i | −0.784432 | − | 0.620214i | \(-0.787046\pi\) |
0.347456 | + | 0.937696i | \(0.387046\pi\) | |||||||
\(90\) | 2.43200 | − | 0.516937i | 0.256355 | − | 0.0544899i | ||||
\(91\) | 3.09732 | + | 9.53258i | 0.324688 | + | 0.999285i | ||||
\(92\) | −0.438320 | −0.0456980 | ||||||||
\(93\) | 6.17231 | − | 9.76595i | 0.640039 | − | 1.01268i | ||||
\(94\) | −1.46523 | −0.151127 | ||||||||
\(95\) | −2.91270 | − | 8.96437i | −0.298837 | − | 0.919725i | ||||
\(96\) | −5.39957 | + | 1.14771i | −0.551092 | + | 0.117138i | ||||
\(97\) | −8.82979 | + | 6.41522i | −0.896530 | + | 0.651367i | −0.937572 | − | 0.347791i | \(-0.886932\pi\) |
0.0410427 | + | 0.999157i | \(0.486932\pi\) | |||||||
\(98\) | −4.60129 | + | 7.96966i | −0.464800 | + | 0.805057i | ||||
\(99\) | 2.45537 | + | 4.25283i | 0.246774 | + | 0.427426i | ||||
\(100\) | 1.14913 | + | 0.511625i | 0.114913 | + | 0.0511625i | ||||
\(101\) | 0.322577 | + | 0.234366i | 0.0320976 | + | 0.0233203i | 0.603718 | − | 0.797198i | \(-0.293685\pi\) |
−0.571621 | + | 0.820518i | \(0.693685\pi\) | |||||||
\(102\) | 8.81567 | − | 3.92499i | 0.872881 | − | 0.388632i | ||||
\(103\) | −3.20520 | − | 0.681286i | −0.315817 | − | 0.0671291i | 0.0472758 | − | 0.998882i | \(-0.484946\pi\) |
−0.363093 | + | 0.931753i | \(0.618279\pi\) | |||||||
\(104\) | −0.842278 | − | 8.01374i | −0.0825921 | − | 0.785812i | ||||
\(105\) | 8.16282 | − | 9.06573i | 0.796609 | − | 0.884724i | ||||
\(106\) | −1.93269 | − | 2.14647i | −0.187720 | − | 0.208484i | ||||
\(107\) | −0.329980 | + | 3.13955i | −0.0319004 | + | 0.303512i | 0.966925 | + | 0.255060i | \(0.0820953\pi\) |
−0.998826 | + | 0.0484517i | \(0.984571\pi\) | |||||||
\(108\) | 0.523425 | − | 1.61094i | 0.0503666 | − | 0.155013i | ||||
\(109\) | 2.14959 | − | 6.61576i | 0.205893 | − | 0.633675i | −0.793782 | − | 0.608202i | \(-0.791891\pi\) |
0.999676 | − | 0.0254724i | \(-0.00810899\pi\) | |||||||
\(110\) | −0.748813 | + | 7.12448i | −0.0713965 | + | 0.679292i | ||||
\(111\) | −2.51870 | − | 2.79730i | −0.239064 | − | 0.265508i | ||||
\(112\) | 7.13782 | − | 7.92735i | 0.674461 | − | 0.749064i | ||||
\(113\) | 1.59372 | + | 15.1633i | 0.149925 | + | 1.42644i | 0.768065 | + | 0.640372i | \(0.221220\pi\) |
−0.618140 | + | 0.786068i | \(0.712114\pi\) | |||||||
\(114\) | −15.2510 | − | 3.24170i | −1.42839 | − | 0.303613i | ||||
\(115\) | −1.28470 | + | 0.571986i | −0.119799 | + | 0.0533379i | ||||
\(116\) | −2.65362 | − | 1.92796i | −0.246382 | − | 0.179007i | ||||
\(117\) | −3.14271 | − | 1.39923i | −0.290544 | − | 0.129359i | ||||
\(118\) | −4.79243 | − | 8.30073i | −0.441179 | − | 0.764144i | ||||
\(119\) | 7.17834 | − | 12.4332i | 0.658037 | − | 1.13975i | ||||
\(120\) | −7.93421 | + | 5.76454i | −0.724291 | + | 0.526228i | ||||
\(121\) | −3.08025 | + | 0.654727i | −0.280023 | + | 0.0595207i | ||||
\(122\) | −1.03698 | − | 3.19150i | −0.0938838 | − | 0.288945i | ||||
\(123\) | 0.699567 | 0.0630778 | ||||||||
\(124\) | −0.386920 | + | 2.65423i | −0.0347464 | + | 0.238357i | ||||
\(125\) | 11.7638 | 1.05219 | ||||||||
\(126\) | −1.89082 | − | 5.81935i | −0.168448 | − | 0.518429i | ||||
\(127\) | 19.7844 | − | 4.20530i | 1.75558 | − | 0.373160i | 0.786055 | − | 0.618156i | \(-0.212120\pi\) |
0.969524 | + | 0.244996i | \(0.0787867\pi\) | |||||||
\(128\) | −4.55428 | + | 3.30888i | −0.402545 | + | 0.292466i | ||||
\(129\) | −4.02960 | + | 6.97946i | −0.354786 | + | 0.614508i | ||||
\(130\) | −2.50920 | − | 4.34607i | −0.220072 | − | 0.381175i | ||||
\(131\) | 11.5575 | + | 5.14574i | 1.00979 | + | 0.449585i | 0.843866 | − | 0.536554i | \(-0.180274\pi\) |
0.165919 | + | 0.986139i | \(0.446941\pi\) | |||||||
\(132\) | −3.04199 | − | 2.21013i | −0.264771 | − | 0.192367i | ||||
\(133\) | −21.1911 | + | 9.43487i | −1.83750 | + | 0.818107i | ||||
\(134\) | 8.94435 | + | 1.90118i | 0.772674 | + | 0.164237i | ||||
\(135\) | −0.568051 | − | 5.40464i | −0.0488900 | − | 0.465158i | ||||
\(136\) | −7.72292 | + | 8.57717i | −0.662235 | + | 0.735486i | ||||
\(137\) | −6.60968 | − | 7.34079i | −0.564703 | − | 0.627166i | 0.391392 | − | 0.920224i | \(-0.371994\pi\) |
−0.956095 | + | 0.293058i | \(0.905327\pi\) | |||||||
\(138\) | −0.243157 | + | 2.31349i | −0.0206989 | + | 0.196937i | ||||
\(139\) | −4.78945 | + | 14.7404i | −0.406236 | + | 1.25026i | 0.513623 | + | 0.858016i | \(0.328303\pi\) |
−0.919859 | + | 0.392249i | \(0.871697\pi\) | |||||||
\(140\) | −0.875229 | + | 2.69368i | −0.0739704 | + | 0.227657i | ||||
\(141\) | 0.257919 | − | 2.45393i | 0.0217207 | − | 0.206658i | ||||
\(142\) | −4.20337 | − | 4.66831i | −0.352739 | − | 0.391756i | ||||
\(143\) | 6.63233 | − | 7.36594i | 0.554623 | − | 0.615971i | ||||
\(144\) | 0.382701 | + | 3.64116i | 0.0318918 | + | 0.303430i | ||||
\(145\) | −10.2935 | − | 2.18796i | −0.854833 | − | 0.181700i | ||||
\(146\) | 6.06919 | − | 2.70218i | 0.502290 | − | 0.223634i | ||||
\(147\) | −12.5374 | − | 9.10897i | −1.03407 | − | 0.751295i | ||||
\(148\) | 0.798373 | + | 0.355459i | 0.0656259 | + | 0.0292185i | ||||
\(149\) | 7.62162 | + | 13.2010i | 0.624388 | + | 1.08147i | 0.988659 | + | 0.150178i | \(0.0479848\pi\) |
−0.364271 | + | 0.931293i | \(0.618682\pi\) | |||||||
\(150\) | 3.33787 | − | 5.78136i | 0.272536 | − | 0.472046i | ||||
\(151\) | 0.211823 | − | 0.153899i | 0.0172379 | − | 0.0125241i | −0.579133 | − | 0.815233i | \(-0.696609\pi\) |
0.596371 | + | 0.802709i | \(0.296609\pi\) | |||||||
\(152\) | 18.2408 | − | 3.87720i | 1.47952 | − | 0.314483i | ||||
\(153\) | 1.52267 | + | 4.68631i | 0.123101 | + | 0.378866i | ||||
\(154\) | 17.6298 | 1.42065 | ||||||||
\(155\) | 2.32958 | + | 8.28435i | 0.187117 | + | 0.665415i | ||||
\(156\) | 2.63407 | 0.210894 | ||||||||
\(157\) | 4.92157 | + | 15.1470i | 0.392784 | + | 1.20886i | 0.930674 | + | 0.365850i | \(0.119222\pi\) |
−0.537890 | + | 0.843015i | \(0.680778\pi\) | |||||||
\(158\) | 11.7358 | − | 2.49451i | 0.933647 | − | 0.198453i | ||||
\(159\) | 3.93506 | − | 2.85899i | 0.312071 | − | 0.226733i | ||||
\(160\) | 2.05597 | − | 3.56104i | 0.162538 | − | 0.281525i | ||||
\(161\) | 1.73042 | + | 2.99717i | 0.136376 | + | 0.236210i | ||||
\(162\) | −12.6209 | − | 5.61920i | −0.991594 | − | 0.441486i | ||||
\(163\) | 0.107741 | + | 0.0782785i | 0.00843894 | + | 0.00613125i | 0.591997 | − | 0.805940i | \(-0.298340\pi\) |
−0.583558 | + | 0.812072i | \(0.698340\pi\) | |||||||
\(164\) | −0.148378 | + | 0.0660621i | −0.0115864 | + | 0.00515859i | ||||
\(165\) | −11.8001 | − | 2.50818i | −0.918634 | − | 0.195262i | ||||
\(166\) | 1.08127 | + | 10.2876i | 0.0839228 | + | 0.798472i | ||||
\(167\) | −2.64225 | + | 2.93451i | −0.204463 | + | 0.227080i | −0.836652 | − | 0.547735i | \(-0.815490\pi\) |
0.632188 | + | 0.774815i | \(0.282157\pi\) | |||||||
\(168\) | 16.1498 | + | 17.9361i | 1.24598 | + | 1.38380i | ||||
\(169\) | 0.633070 | − | 6.02326i | 0.0486977 | − | 0.463328i | ||||
\(170\) | −2.22125 | + | 6.83632i | −0.170362 | + | 0.524322i | ||||
\(171\) | 2.46023 | − | 7.57181i | 0.188139 | − | 0.579031i | ||||
\(172\) | 0.195585 | − | 1.86087i | 0.0149132 | − | 0.141890i | ||||
\(173\) | −9.67358 | − | 10.7436i | −0.735469 | − | 0.816821i | 0.253124 | − | 0.967434i | \(-0.418542\pi\) |
−0.988593 | + | 0.150613i | \(0.951875\pi\) | |||||||
\(174\) | −11.6480 | + | 12.9364i | −0.883035 | + | 0.980709i | ||||
\(175\) | −1.03816 | − | 9.87740i | −0.0784772 | − | 0.746661i | ||||
\(176\) | −10.3183 | − | 2.19323i | −0.777775 | − | 0.165321i | ||||
\(177\) | 14.7454 | − | 6.56509i | 1.10833 | − | 0.493462i | ||||
\(178\) | −5.07954 | − | 3.69050i | −0.380727 | − | 0.276615i | ||||
\(179\) | −16.1879 | − | 7.20733i | −1.20994 | − | 0.538701i | −0.300201 | − | 0.953876i | \(-0.597054\pi\) |
−0.909741 | + | 0.415175i | \(0.863720\pi\) | |||||||
\(180\) | −0.486049 | − | 0.841862i | −0.0362280 | − | 0.0627487i | ||||
\(181\) | 6.02958 | − | 10.4435i | 0.448175 | − | 0.776262i | −0.550092 | − | 0.835104i | \(-0.685407\pi\) |
0.998267 | + | 0.0588418i | \(0.0187408\pi\) | |||||||
\(182\) | −9.99155 | + | 7.25929i | −0.740623 | + | 0.538094i | ||||
\(183\) | 5.52757 | − | 1.17492i | 0.408609 | − | 0.0868526i | ||||
\(184\) | −0.859766 | − | 2.64609i | −0.0633828 | − | 0.195072i | ||||
\(185\) | 2.80386 | 0.206144 | ||||||||
\(186\) | 13.7946 | + | 3.51462i | 1.01147 | + | 0.257704i | ||||
\(187\) | −14.1973 | −1.03821 | ||||||||
\(188\) | 0.177028 | + | 0.544835i | 0.0129111 | + | 0.0397362i | ||||
\(189\) | −13.0818 | + | 2.78062i | −0.951559 | + | 0.202260i | ||||
\(190\) | 9.39599 | − | 6.82658i | 0.681656 | − | 0.495252i | ||||
\(191\) | −2.53576 | + | 4.39207i | −0.183481 | + | 0.317799i | −0.943064 | − | 0.332612i | \(-0.892070\pi\) |
0.759583 | + | 0.650411i | \(0.225403\pi\) | |||||||
\(192\) | −9.22001 | − | 15.9695i | −0.665397 | − | 1.15250i | ||||
\(193\) | −18.3090 | − | 8.15171i | −1.31791 | − | 0.586773i | −0.377250 | − | 0.926112i | \(-0.623130\pi\) |
−0.940664 | + | 0.339339i | \(0.889797\pi\) | |||||||
\(194\) | −10.8798 | − | 7.90466i | −0.781126 | − | 0.567521i | ||||
\(195\) | 7.72036 | − | 3.43733i | 0.552866 | − | 0.246152i | ||||
\(196\) | 3.51937 | + | 0.748066i | 0.251384 | + | 0.0534333i | ||||
\(197\) | −2.26914 | − | 21.5894i | −0.161670 | − | 1.53818i | −0.711367 | − | 0.702820i | \(-0.751924\pi\) |
0.549698 | − | 0.835364i | \(-0.314743\pi\) | |||||||
\(198\) | −4.04883 | + | 4.49668i | −0.287738 | + | 0.319565i | ||||
\(199\) | 10.1477 | + | 11.2702i | 0.719352 | + | 0.798921i | 0.986330 | − | 0.164781i | \(-0.0526919\pi\) |
−0.266978 | + | 0.963703i | \(0.586025\pi\) | |||||||
\(200\) | −0.834602 | + | 7.94071i | −0.0590153 | + | 0.561493i | ||||
\(201\) | −4.75848 | + | 14.6451i | −0.335637 | + | 1.03299i | ||||
\(202\) | −0.151820 | + | 0.467255i | −0.0106820 | + | 0.0328759i | ||||
\(203\) | −2.70710 | + | 25.7564i | −0.190001 | + | 1.80774i | ||||
\(204\) | −2.52457 | − | 2.80382i | −0.176755 | − | 0.196307i | ||||
\(205\) | −0.348683 | + | 0.387252i | −0.0243531 | + | 0.0270468i | ||||
\(206\) | −0.422043 | − | 4.01547i | −0.0294051 | − | 0.279771i | ||||
\(207\) | −1.16187 | − | 0.246962i | −0.0807553 | − | 0.0171651i | ||||
\(208\) | 6.75092 | − | 3.00570i | 0.468092 | − | 0.208408i | ||||
\(209\) | 18.5580 | + | 13.4832i | 1.28368 | + | 0.932651i | ||||
\(210\) | 13.7319 | + | 6.11384i | 0.947591 | + | 0.421895i | ||||
\(211\) | −3.15220 | − | 5.45978i | −0.217007 | − | 0.375867i | 0.736885 | − | 0.676018i | \(-0.236296\pi\) |
−0.953891 | + | 0.300152i | \(0.902963\pi\) | |||||||
\(212\) | −0.564643 | + | 0.977990i | −0.0387798 | + | 0.0671687i | ||||
\(213\) | 8.55826 | − | 6.21794i | 0.586403 | − | 0.426046i | ||||
\(214\) | −3.80478 | + | 0.808730i | −0.260089 | + | 0.0552837i | ||||
\(215\) | −1.85509 | − | 5.70937i | −0.126516 | − | 0.389376i | ||||
\(216\) | 10.7517 | 0.731564 | ||||||||
\(217\) | 19.6767 | − | 7.83276i | 1.33574 | − | 0.531722i | ||||
\(218\) | 8.57126 | 0.580519 | ||||||||
\(219\) | 3.45720 | + | 10.6402i | 0.233616 | + | 0.718996i | ||||
\(220\) | 2.73965 | − | 0.582330i | 0.184707 | − | 0.0392607i | ||||
\(221\) | 8.04618 | − | 5.84589i | 0.541245 | − | 0.393237i | ||||
\(222\) | 2.31903 | − | 4.01668i | 0.155643 | − | 0.269582i | ||||
\(223\) | −3.69455 | − | 6.39915i | −0.247406 | − | 0.428519i | 0.715400 | − | 0.698716i | \(-0.246245\pi\) |
−0.962805 | + | 0.270196i | \(0.912911\pi\) | |||||||
\(224\) | −9.24454 | − | 4.11594i | −0.617677 | − | 0.275007i | ||||
\(225\) | 2.75776 | + | 2.00363i | 0.183851 | + | 0.133575i | ||||
\(226\) | −17.1625 | + | 7.64123i | −1.14163 | + | 0.508287i | ||||
\(227\) | −18.8193 | − | 4.00018i | −1.24908 | − | 0.265501i | −0.464528 | − | 0.885559i | \(-0.653776\pi\) |
−0.784556 | + | 0.620058i | \(0.787109\pi\) | |||||||
\(228\) | 0.637207 | + | 6.06262i | 0.0422000 | + | 0.401507i | ||||
\(229\) | −4.07307 | + | 4.52360i | −0.269156 | + | 0.298928i | −0.862537 | − | 0.505994i | \(-0.831126\pi\) |
0.593381 | + | 0.804921i | \(0.297793\pi\) | |||||||
\(230\) | −1.15946 | − | 1.28771i | −0.0764523 | − | 0.0849088i | ||||
\(231\) | −3.10330 | + | 29.5260i | −0.204182 | + | 1.94267i | ||||
\(232\) | 6.43383 | − | 19.8013i | 0.422401 | − | 1.30002i | ||||
\(233\) | 5.41646 | − | 16.6702i | 0.354844 | − | 1.09210i | −0.601255 | − | 0.799057i | \(-0.705333\pi\) |
0.956100 | − | 0.293042i | \(-0.0946675\pi\) | |||||||
\(234\) | 0.443078 | − | 4.21561i | 0.0289649 | − | 0.275583i | ||||
\(235\) | 1.22984 | + | 1.36588i | 0.0802262 | + | 0.0891002i | ||||
\(236\) | −2.50754 | + | 2.78491i | −0.163227 | + | 0.181282i | ||||
\(237\) | 2.11195 | + | 20.0938i | 0.137186 | + | 1.30523i | ||||
\(238\) | 17.3033 | + | 3.67794i | 1.12161 | + | 0.238405i | ||||
\(239\) | −25.4989 | + | 11.3529i | −1.64939 | + | 0.734355i | −0.999667 | − | 0.0258176i | \(-0.991781\pi\) |
−0.649721 | + | 0.760172i | \(0.725114\pi\) | |||||||
\(240\) | −7.27639 | − | 5.28660i | −0.469689 | − | 0.341249i | ||||
\(241\) | 20.7829 | + | 9.25315i | 1.33875 | + | 0.596048i | 0.946169 | − | 0.323672i | \(-0.104917\pi\) |
0.392576 | + | 0.919720i | \(0.371584\pi\) | |||||||
\(242\) | −1.94010 | − | 3.36034i | −0.124714 | − | 0.216011i | ||||
\(243\) | 6.35849 | − | 11.0132i | 0.407897 | − | 0.706499i | ||||
\(244\) | −1.06144 | + | 0.771185i | −0.0679520 | + | 0.0493701i | ||||
\(245\) | 11.2913 | − | 2.40005i | 0.721378 | − | 0.153334i | ||||
\(246\) | 0.266369 | + | 0.819798i | 0.0169830 | + | 0.0522684i | ||||
\(247\) | −16.0694 | −1.02247 | ||||||||
\(248\) | −16.7822 | + | 2.87048i | −1.06567 | + | 0.182276i | ||||
\(249\) | −17.4197 | −1.10393 | ||||||||
\(250\) | 4.47921 | + | 13.7856i | 0.283290 | + | 0.871878i | ||||
\(251\) | 15.8797 | − | 3.37534i | 1.00232 | − | 0.213050i | 0.322611 | − | 0.946532i | \(-0.395439\pi\) |
0.679709 | + | 0.733482i | \(0.262106\pi\) | |||||||
\(252\) | −1.93543 | + | 1.40617i | −0.121921 | + | 0.0885805i | ||||
\(253\) | 1.71121 | − | 2.96390i | 0.107583 | − | 0.186339i | ||||
\(254\) | 12.4612 | + | 21.5834i | 0.781884 | + | 1.35426i | ||||
\(255\) | −11.0583 | − | 4.92346i | −0.692496 | − | 0.308319i | ||||
\(256\) | 8.76759 | + | 6.37002i | 0.547974 | + | 0.398126i | ||||
\(257\) | 21.3332 | − | 9.49816i | 1.33073 | − | 0.592479i | 0.386659 | − | 0.922223i | \(-0.373629\pi\) |
0.944070 | + | 0.329744i | \(0.106963\pi\) | |||||||
\(258\) | −9.71331 | − | 2.06463i | −0.604724 | − | 0.128538i | ||||
\(259\) | −0.721274 | − | 6.86246i | −0.0448178 | − | 0.426412i | ||||
\(260\) | −1.31289 | + | 1.45811i | −0.0814220 | + | 0.0904283i | ||||
\(261\) | −5.94774 | − | 6.60563i | −0.368156 | − | 0.408878i | ||||
\(262\) | −1.62945 | + | 15.5032i | −0.100668 | + | 0.957789i | ||||
\(263\) | −3.21203 | + | 9.88562i | −0.198062 | + | 0.609574i | 0.801865 | + | 0.597506i | \(0.203841\pi\) |
−0.999927 | + | 0.0120680i | \(0.996159\pi\) | |||||||
\(264\) | 7.37545 | − | 22.6993i | 0.453928 | − | 1.39705i | ||||
\(265\) | −0.378721 | + | 3.60329i | −0.0232646 | + | 0.221348i | ||||
\(266\) | −19.1252 | − | 21.2406i | −1.17264 | − | 1.30235i | ||||
\(267\) | 7.07488 | − | 7.85745i | 0.432975 | − | 0.480868i | ||||
\(268\) | −0.373707 | − | 3.55558i | −0.0228278 | − | 0.217192i | ||||
\(269\) | 4.32150 | + | 0.918563i | 0.263487 | + | 0.0560058i | 0.337761 | − | 0.941232i | \(-0.390331\pi\) |
−0.0742740 | + | 0.997238i | \(0.523664\pi\) | |||||||
\(270\) | 6.11722 | − | 2.72356i | 0.372282 | − | 0.165751i | ||||
\(271\) | −4.97777 | − | 3.61656i | −0.302378 | − | 0.219691i | 0.426241 | − | 0.904610i | \(-0.359838\pi\) |
−0.728619 | + | 0.684919i | \(0.759838\pi\) | |||||||
\(272\) | −9.66970 | − | 4.30523i | −0.586312 | − | 0.261043i | ||||
\(273\) | −10.3989 | − | 18.0114i | −0.629369 | − | 1.09010i | ||||
\(274\) | 6.08571 | − | 10.5408i | 0.367651 | − | 0.636790i | ||||
\(275\) | −7.94578 | + | 5.77295i | −0.479149 | + | 0.348122i | ||||
\(276\) | 0.889629 | − | 0.189096i | 0.0535493 | − | 0.0113823i | ||||
\(277\) | 6.81302 | + | 20.9683i | 0.409355 | + | 1.25987i | 0.917204 | + | 0.398419i | \(0.130441\pi\) |
−0.507849 | + | 0.861446i | \(0.669559\pi\) | |||||||
\(278\) | −19.0974 | −1.14539 | ||||||||
\(279\) | −2.52109 | + | 6.81762i | −0.150933 | + | 0.408160i | ||||
\(280\) | −17.9782 | −1.07440 | ||||||||
\(281\) | −9.50955 | − | 29.2674i | −0.567292 | − | 1.74595i | −0.661040 | − | 0.750351i | \(-0.729885\pi\) |
0.0937474 | − | 0.995596i | \(-0.470115\pi\) | |||||||
\(282\) | 2.97389 | − | 0.632119i | 0.177092 | − | 0.0376421i | ||||
\(283\) | 17.2687 | − | 12.5464i | 1.02652 | − | 0.745807i | 0.0589075 | − | 0.998263i | \(-0.481238\pi\) |
0.967608 | + | 0.252456i | \(0.0812383\pi\) | |||||||
\(284\) | −1.22803 | + | 2.12701i | −0.0728701 | + | 0.126215i | ||||
\(285\) | 9.77904 | + | 16.9378i | 0.579260 | + | 1.00331i | ||||
\(286\) | 11.1572 | + | 4.96752i | 0.659741 | + | 0.293736i | ||||
\(287\) | 1.03750 | + | 0.753786i | 0.0612415 | + | 0.0444946i | ||||
\(288\) | 3.17290 | − | 1.41267i | 0.186965 | − | 0.0832421i | ||||
\(289\) | 2.69417 | + | 0.572664i | 0.158481 | + | 0.0336861i | ||||
\(290\) | −1.35540 | − | 12.8957i | −0.0795917 | − | 0.757264i | ||||
\(291\) | 15.1536 | − | 16.8298i | 0.888321 | − | 0.986581i | ||||
\(292\) | −1.73805 | − | 1.93030i | −0.101712 | − | 0.112963i | ||||
\(293\) | 0.188050 | − | 1.78917i | 0.0109860 | − | 0.104525i | −0.987655 | − | 0.156646i | \(-0.949932\pi\) |
0.998641 | + | 0.0521218i | \(0.0165984\pi\) | |||||||
\(294\) | 5.90071 | − | 18.1605i | 0.344136 | − | 1.05914i | ||||
\(295\) | −3.71535 | + | 11.4347i | −0.216316 | + | 0.665753i | ||||
\(296\) | −0.579852 | + | 5.51692i | −0.0337032 | + | 0.320664i | ||||
\(297\) | 8.84961 | + | 9.82848i | 0.513506 | + | 0.570306i | ||||
\(298\) | −12.5678 | + | 13.9580i | −0.728034 | + | 0.808564i | ||||
\(299\) | 0.250607 | + | 2.38437i | 0.0144930 | + | 0.137892i | ||||
\(300\) | −2.55303 | − | 0.542663i | −0.147399 | − | 0.0313307i | ||||
\(301\) | −13.4965 | + | 6.00904i | −0.777926 | + | 0.346355i | ||||
\(302\) | 0.261003 | + | 0.189630i | 0.0150190 | + | 0.0109120i | ||||
\(303\) | −0.755821 | − | 0.336513i | −0.0434208 | − | 0.0193322i | ||||
\(304\) | 8.55109 | + | 14.8109i | 0.490439 | + | 0.849465i | ||||
\(305\) | −2.10470 | + | 3.64545i | −0.120515 | + | 0.208738i | ||||
\(306\) | −4.91195 | + | 3.56874i | −0.280797 | + | 0.204011i | ||||
\(307\) | −26.1844 | + | 5.56567i | −1.49442 | + | 0.317650i | −0.881383 | − | 0.472402i | \(-0.843387\pi\) |
−0.613041 | + | 0.790051i | \(0.710054\pi\) | |||||||
\(308\) | −2.13001 | − | 6.55551i | −0.121369 | − | 0.373535i | ||||
\(309\) | 6.79928 | 0.386798 | ||||||||
\(310\) | −8.82113 | + | 5.88433i | −0.501006 | + | 0.334207i | ||||
\(311\) | 4.18114 | 0.237090 | 0.118545 | − | 0.992949i | \(-0.462177\pi\) | ||||
0.118545 | + | 0.992949i | \(0.462177\pi\) | |||||||
\(312\) | 5.16673 | + | 15.9016i | 0.292509 | + | 0.900249i | ||||
\(313\) | 11.0950 | − | 2.35831i | 0.627124 | − | 0.133299i | 0.116623 | − | 0.993176i | \(-0.462793\pi\) |
0.510501 | + | 0.859877i | \(0.329460\pi\) | |||||||
\(314\) | −15.8763 | + | 11.5348i | −0.895953 | + | 0.650948i | ||||
\(315\) | −3.83769 | + | 6.64708i | −0.216229 | + | 0.374520i | ||||
\(316\) | −2.34546 | − | 4.06246i | −0.131943 | − | 0.228531i | ||||
\(317\) | 23.6438 | + | 10.5269i | 1.32797 | + | 0.591249i | 0.943341 | − | 0.331824i | \(-0.107664\pi\) |
0.384626 | + | 0.923073i | \(0.374331\pi\) | |||||||
\(318\) | 4.84867 | + | 3.52277i | 0.271900 | + | 0.197547i | ||||
\(319\) | 23.3965 | − | 10.4168i | 1.30995 | − | 0.583229i | ||||
\(320\) | 13.4356 | + | 2.85582i | 0.751071 | + | 0.159645i | ||||
\(321\) | −0.684701 | − | 6.51449i | −0.0382163 | − | 0.363604i | ||||
\(322\) | −2.85341 | + | 3.16903i | −0.159014 | + | 0.176603i | ||||
\(323\) | 15.4015 | + | 17.1050i | 0.856960 | + | 0.951750i | ||||
\(324\) | −0.564609 | + | 5.37189i | −0.0313672 | + | 0.298439i | ||||
\(325\) | 2.12612 | − | 6.54354i | 0.117936 | − | 0.362970i | ||||
\(326\) | −0.0507081 | + | 0.156064i | −0.00280846 | + | 0.00864356i | ||||
\(327\) | −1.50876 | + | 14.3549i | −0.0834347 | + | 0.793828i | ||||
\(328\) | −0.689854 | − | 0.766160i | −0.0380908 | − | 0.0423041i | ||||
\(329\) | 3.02663 | − | 3.36141i | 0.166864 | − | 0.185321i | ||||
\(330\) | −1.55377 | − | 14.7831i | −0.0855321 | − | 0.813784i | ||||
\(331\) | −0.749053 | − | 0.159216i | −0.0411717 | − | 0.00875131i | 0.187280 | − | 0.982307i | \(-0.440033\pi\) |
−0.228451 | + | 0.973555i | \(0.573366\pi\) | |||||||
\(332\) | 3.69472 | − | 1.64500i | 0.202774 | − | 0.0902808i | ||||
\(333\) | 1.91599 | + | 1.39205i | 0.104996 | + | 0.0762839i | ||||
\(334\) | −4.44493 | − | 1.97901i | −0.243215 | − | 0.108287i | ||||
\(335\) | −5.73517 | − | 9.93361i | −0.313346 | − | 0.542731i | ||||
\(336\) | −11.0672 | + | 19.1689i | −0.603765 | + | 1.04575i | ||||
\(337\) | −1.93706 | + | 1.40736i | −0.105519 | + | 0.0766637i | −0.639293 | − | 0.768963i | \(-0.720773\pi\) |
0.533775 | + | 0.845627i | \(0.320773\pi\) | |||||||
\(338\) | 7.29950 | − | 1.55156i | 0.397041 | − | 0.0843936i | ||||
\(339\) | −9.77628 | − | 30.0883i | −0.530974 | − | 1.63417i | ||||
\(340\) | 2.81040 | 0.152415 | ||||||||
\(341\) | −16.4372 | − | 12.9784i | −0.890123 | − | 0.702822i | ||||
\(342\) | 9.80991 | 0.530459 | ||||||||
\(343\) | −0.550776 | − | 1.69511i | −0.0297391 | − | 0.0915276i | ||||
\(344\) | 11.6175 | − | 2.46938i | 0.626374 | − | 0.133140i | ||||
\(345\) | 2.36071 | − | 1.71516i | 0.127096 | − | 0.0923408i | ||||
\(346\) | 8.90672 | − | 15.4269i | 0.478828 | − | 0.829355i | ||||
\(347\) | −2.82890 | − | 4.89980i | −0.151863 | − | 0.263035i | 0.780049 | − | 0.625718i | \(-0.215194\pi\) |
−0.931912 | + | 0.362683i | \(0.881861\pi\) | |||||||
\(348\) | 6.21761 | + | 2.76826i | 0.333299 | + | 0.148394i | ||||
\(349\) | −23.5162 | − | 17.0855i | −1.25879 | − | 0.914566i | −0.260095 | − | 0.965583i | \(-0.583754\pi\) |
−0.998698 | + | 0.0510167i | \(0.983754\pi\) | |||||||
\(350\) | 11.1797 | − | 4.97752i | 0.597580 | − | 0.266060i | ||||
\(351\) | −9.06243 | − | 1.92628i | −0.483717 | − | 0.102817i | ||||
\(352\) | 1.04602 | + | 9.95223i | 0.0557532 | + | 0.530456i | ||||
\(353\) | −12.8976 | + | 14.3243i | −0.686471 | + | 0.762404i | −0.981162 | − | 0.193189i | \(-0.938117\pi\) |
0.294690 | + | 0.955593i | \(0.404784\pi\) | |||||||
\(354\) | 13.3079 | + | 14.7799i | 0.707307 | + | 0.785544i | ||||
\(355\) | −0.823670 | + | 7.83670i | −0.0437159 | + | 0.415929i | ||||
\(356\) | −0.758579 | + | 2.33467i | −0.0402046 | + | 0.123737i | ||||
\(357\) | −9.20553 | + | 28.3317i | −0.487209 | + | 1.49947i | ||||
\(358\) | 2.28227 | − | 21.7143i | 0.120622 | − | 1.14764i | ||||
\(359\) | 6.92167 | + | 7.68729i | 0.365312 | + | 0.405720i | 0.897577 | − | 0.440858i | \(-0.145326\pi\) |
−0.532265 | + | 0.846578i | \(0.678659\pi\) | |||||||
\(360\) | 4.12884 | − | 4.58554i | 0.217609 | − | 0.241679i | ||||
\(361\) | −1.90131 | − | 18.0898i | −0.100069 | − | 0.952095i | ||||
\(362\) | 14.5343 | + | 3.08935i | 0.763904 | + | 0.162373i | ||||
\(363\) | 5.96932 | − | 2.65771i | 0.313308 | − | 0.139494i | ||||
\(364\) | 3.90647 | + | 2.83822i | 0.204755 | + | 0.148763i | ||||
\(365\) | −7.61312 | − | 3.38958i | −0.398489 | − | 0.177419i | ||||
\(366\) | 3.48154 | + | 6.03020i | 0.181983 | + | 0.315203i | ||||
\(367\) | 0.0682819 | − | 0.118268i | 0.00356428 | − | 0.00617352i | −0.864238 | − | 0.503084i | \(-0.832199\pi\) |
0.867802 | + | 0.496910i | \(0.165532\pi\) | |||||||
\(368\) | 2.06428 | − | 1.49978i | 0.107608 | − | 0.0781817i | ||||
\(369\) | −0.430531 | + | 0.0915122i | −0.0224125 | + | 0.00476393i | ||||
\(370\) | 1.06760 | + | 3.28574i | 0.0555020 | + | 0.170818i | ||||
\(371\) | 8.91649 | 0.462921 | ||||||||
\(372\) | −0.359759 | − | 5.55402i | −0.0186527 | − | 0.287963i | ||||
\(373\) | −7.36393 | −0.381290 | −0.190645 | − | 0.981659i | \(-0.561058\pi\) | ||||
−0.190645 | + | 0.981659i | \(0.561058\pi\) | |||||||
\(374\) | −5.40578 | − | 16.6373i | −0.279526 | − | 0.860294i | ||||
\(375\) | −23.8762 | + | 5.07504i | −1.23296 | + | 0.262074i | ||||
\(376\) | −2.94187 | + | 2.13739i | −0.151715 | + | 0.110228i | ||||
\(377\) | −8.97053 | + | 15.5374i | −0.462006 | + | 0.800218i | ||||
\(378\) | −8.23955 | − | 14.2713i | −0.423797 | − | 0.734038i | ||||
\(379\) | −4.20974 | − | 1.87430i | −0.216240 | − | 0.0962762i | 0.295758 | − | 0.955263i | \(-0.404428\pi\) |
−0.511998 | + | 0.858987i | \(0.671094\pi\) | |||||||
\(380\) | −3.67362 | − | 2.66904i | −0.188453 | − | 0.136919i | ||||
\(381\) | −38.3408 | + | 17.0704i | −1.96426 | + | 0.874544i | ||||
\(382\) | −6.11243 | − | 1.29924i | −0.312739 | − | 0.0664748i | ||||
\(383\) | 3.37572 | + | 32.1179i | 0.172491 | + | 1.64115i | 0.648147 | + | 0.761515i | \(0.275544\pi\) |
−0.475656 | + | 0.879631i | \(0.657789\pi\) | |||||||
\(384\) | 7.81602 | − | 8.68057i | 0.398860 | − | 0.442979i | ||||
\(385\) | −14.7976 | − | 16.4344i | −0.754155 | − | 0.837574i | ||||
\(386\) | 2.58132 | − | 24.5596i | 0.131386 | − | 1.25005i | ||||
\(387\) | 1.56691 | − | 4.82246i | 0.0796506 | − | 0.245139i | ||||
\(388\) | −1.62479 | + | 5.00060i | −0.0824864 | + | 0.253867i | ||||
\(389\) | 3.68685 | − | 35.0781i | 0.186931 | − | 1.77853i | −0.351825 | − | 0.936066i | \(-0.614439\pi\) |
0.538756 | − | 0.842462i | \(-0.318895\pi\) | |||||||
\(390\) | 6.96770 | + | 7.73842i | 0.352823 | + | 0.391850i | ||||
\(391\) | 2.29784 | − | 2.55201i | 0.116207 | − | 0.129061i | ||||
\(392\) | 2.38727 | + | 22.7134i | 0.120575 | + | 1.14720i | ||||
\(393\) | −25.6774 | − | 5.45791i | −1.29526 | − | 0.275315i | ||||
\(394\) | 24.4359 | − | 10.8796i | 1.23106 | − | 0.548105i | ||||
\(395\) | −12.1758 | − | 8.84621i | −0.612629 | − | 0.445101i | ||||
\(396\) | 2.16123 | + | 0.962241i | 0.108606 | + | 0.0483544i | ||||
\(397\) | 2.01701 | + | 3.49356i | 0.101231 | + | 0.175337i | 0.912192 | − | 0.409763i | \(-0.134389\pi\) |
−0.810961 | + | 0.585100i | \(0.801055\pi\) | |||||||
\(398\) | −9.34326 | + | 16.1830i | −0.468335 | + | 0.811181i | ||||
\(399\) | 38.9398 | − | 28.2914i | 1.94943 | − | 1.41634i | ||||
\(400\) | −7.16245 | + | 1.52243i | −0.358122 | + | 0.0761213i | ||||
\(401\) | 7.68933 | + | 23.6653i | 0.383987 | + | 1.18179i | 0.937212 | + | 0.348759i | \(0.113397\pi\) |
−0.553225 | + | 0.833032i | \(0.686603\pi\) | |||||||
\(402\) | −18.9739 | −0.946334 | ||||||||
\(403\) | 14.6597 | + | 0.587221i | 0.730249 | + | 0.0292516i | ||||
\(404\) | 0.192087 | 0.00955671 | ||||||||
\(405\) | 5.35520 | + | 16.4816i | 0.266102 | + | 0.818978i | ||||
\(406\) | −31.2137 | + | 6.63469i | −1.54911 | + | 0.329274i | ||||
\(407\) | −5.52044 | + | 4.01084i | −0.273638 | + | 0.198810i | ||||
\(408\) | 11.9744 | − | 20.7403i | 0.592821 | − | 1.02680i | ||||
\(409\) | −1.75361 | − | 3.03734i | −0.0867105 | − | 0.150187i | 0.819408 | − | 0.573210i | \(-0.194302\pi\) |
−0.906119 | + | 0.423023i | \(0.860969\pi\) | |||||||
\(410\) | −0.586572 | − | 0.261159i | −0.0289687 | − | 0.0128977i | ||||
\(411\) | 16.5821 | + | 12.0476i | 0.817936 | + | 0.594265i | ||||
\(412\) | −1.44213 | + | 0.642076i | −0.0710485 | + | 0.0316328i | ||||
\(413\) | 28.9422 | + | 6.15186i | 1.42415 | + | 0.302713i | ||||
\(414\) | −0.152988 | − | 1.45559i | −0.00751896 | − | 0.0715381i | ||||
\(415\) | 8.68246 | − | 9.64284i | 0.426205 | − | 0.473349i | ||||
\(416\) | −4.69077 | − | 5.20963i | −0.229984 | − | 0.255423i | ||||
\(417\) | 3.36163 | − | 31.9838i | 0.164620 | − | 1.56625i | ||||
\(418\) | −8.73429 | + | 26.8814i | −0.427208 | + | 1.31481i | ||||
\(419\) | 1.27325 | − | 3.91865i | 0.0622022 | − | 0.191439i | −0.915126 | − | 0.403167i | \(-0.867909\pi\) |
0.977328 | + | 0.211729i | \(0.0679093\pi\) | |||||||
\(420\) | 0.614309 | − | 5.84476i | 0.0299752 | − | 0.285195i | ||||
\(421\) | 18.4689 | + | 20.5118i | 0.900121 | + | 0.999686i | 0.999989 | + | 0.00468505i | \(0.00149130\pi\) |
−0.0998679 | + | 0.995001i | \(0.531842\pi\) | |||||||
\(422\) | 5.19788 | − | 5.77283i | 0.253029 | − | 0.281017i | ||||
\(423\) | 0.162276 | + | 1.54395i | 0.00789012 | + | 0.0750695i | ||||
\(424\) | −7.01157 | − | 1.49035i | −0.340512 | − | 0.0723780i | ||||
\(425\) | −9.00298 | + | 4.00839i | −0.436709 | + | 0.194435i | ||||
\(426\) | 10.5453 | + | 7.66158i | 0.510919 | + | 0.371205i | ||||
\(427\) | 9.46367 | + | 4.21350i | 0.457979 | + | 0.203905i | ||||
\(428\) | 0.760408 | + | 1.31706i | 0.0367557 | + | 0.0636627i | ||||
\(429\) | −10.2834 | + | 17.8114i | −0.496488 | + | 0.859943i | ||||
\(430\) | 5.98427 | − | 4.34783i | 0.288587 | − | 0.209671i | ||||
\(431\) | 14.5489 | − | 3.09247i | 0.700796 | − | 0.148959i | 0.156284 | − | 0.987712i | \(-0.450048\pi\) |
0.544512 | + | 0.838753i | \(0.316715\pi\) | |||||||
\(432\) | 3.04701 | + | 9.37772i | 0.146599 | + | 0.451186i | ||||
\(433\) | 9.26195 | 0.445101 | 0.222550 | − | 0.974921i | \(-0.428562\pi\) | ||||
0.222550 | + | 0.974921i | \(0.428562\pi\) | |||||||
\(434\) | 16.6711 | + | 20.0761i | 0.800238 | + | 0.963682i | ||||
\(435\) | 21.8360 | 1.04696 | ||||||||
\(436\) | −1.03557 | − | 3.18715i | −0.0495947 | − | 0.152637i | ||||
\(437\) | −5.42728 | + | 1.15361i | −0.259622 | + | 0.0551844i | ||||
\(438\) | −11.1525 | + | 8.10275i | −0.532886 | + | 0.387164i | ||||
\(439\) | −8.85909 | + | 15.3444i | −0.422821 | + | 0.732348i | −0.996214 | − | 0.0869324i | \(-0.972294\pi\) |
0.573393 | + | 0.819281i | \(0.305627\pi\) | |||||||
\(440\) | 8.88929 | + | 15.3967i | 0.423780 | + | 0.734009i | ||||
\(441\) | 8.90741 | + | 3.96584i | 0.424163 | + | 0.188849i | ||||
\(442\) | 9.91428 | + | 7.20314i | 0.471574 | + | 0.342619i | ||||
\(443\) | −16.8551 | + | 7.50439i | −0.800811 | + | 0.356544i | −0.765993 | − | 0.642850i | \(-0.777752\pi\) |
−0.0348187 | + | 0.999394i | \(0.511085\pi\) | |||||||
\(444\) | −1.77375 | − | 0.377023i | −0.0841785 | − | 0.0178927i | ||||
\(445\) | 0.823253 | + | 7.83273i | 0.0390259 | + | 0.371307i | ||||
\(446\) | 6.09220 | − | 6.76608i | 0.288474 | − | 0.320383i | ||||
\(447\) | −21.1642 | − | 23.5052i | −1.00103 | − | 1.11176i | ||||
\(448\) | 3.53342 | − | 33.6183i | 0.166939 | − | 1.58831i | ||||
\(449\) | 7.01784 | − | 21.5987i | 0.331192 | − | 1.01931i | −0.637375 | − | 0.770554i | \(-0.719980\pi\) |
0.968567 | − | 0.248752i | \(-0.0800203\pi\) | |||||||
\(450\) | −1.29793 | + | 3.99463i | −0.0611852 | + | 0.188309i | ||||
\(451\) | 0.132561 | − | 1.26123i | 0.00624204 | − | 0.0593890i | ||||
\(452\) | 4.91487 | + | 5.45852i | 0.231176 | + | 0.256747i | ||||
\(453\) | −0.363530 | + | 0.403740i | −0.0170801 | + | 0.0189694i | ||||
\(454\) | −2.47803 | − | 23.5769i | −0.116300 | − | 1.10652i | ||||
\(455\) | 15.1535 | + | 3.22097i | 0.710405 | + | 0.151001i | ||||
\(456\) | −35.3494 | + | 15.7386i | −1.65539 | + | 0.737027i | ||||
\(457\) | 13.0752 | + | 9.49970i | 0.611633 | + | 0.444377i | 0.849989 | − | 0.526800i | \(-0.176608\pi\) |
−0.238356 | + | 0.971178i | \(0.576608\pi\) | |||||||
\(458\) | −6.85192 | − | 3.05067i | −0.320169 | − | 0.142549i | ||||
\(459\) | 6.63529 | + | 11.4927i | 0.309709 | + | 0.536432i | ||||
\(460\) | −0.338739 | + | 0.586713i | −0.0157938 | + | 0.0273556i | ||||
\(461\) | −17.4252 | + | 12.6602i | −0.811573 | + | 0.589642i | −0.914286 | − | 0.405069i | \(-0.867248\pi\) |
0.102713 | + | 0.994711i | \(0.467248\pi\) | |||||||
\(462\) | −35.7821 | + | 7.60571i | −1.66473 | + | 0.353850i | ||||
\(463\) | −5.41083 | − | 16.6528i | −0.251462 | − | 0.773922i | −0.994506 | − | 0.104679i | \(-0.966619\pi\) |
0.743044 | − | 0.669243i | \(-0.233381\pi\) | |||||||
\(464\) | 19.0941 | 0.886421 | ||||||||
\(465\) | −8.30216 | − | 15.8092i | −0.385003 | − | 0.733133i | ||||
\(466\) | 21.5976 | 1.00049 | ||||||||
\(467\) | −3.64845 | − | 11.2288i | −0.168830 | − | 0.519605i | 0.830468 | − | 0.557066i | \(-0.188073\pi\) |
−0.999298 | + | 0.0374608i | \(0.988073\pi\) | |||||||
\(468\) | −1.62107 | + | 0.344569i | −0.0749341 | + | 0.0159277i | ||||
\(469\) | −22.8372 | + | 16.5922i | −1.05453 | + | 0.766158i | ||||
\(470\) | −1.13235 | + | 1.96129i | −0.0522314 | + | 0.0904674i | ||||
\(471\) | −16.5236 | − | 28.6197i | −0.761366 | − | 1.31872i | ||||
\(472\) | −21.7307 | − | 9.67514i | −1.00024 | − | 0.445335i | ||||
\(473\) | 11.8195 | + | 8.58739i | 0.543463 | + | 0.394849i | ||||
\(474\) | −22.7431 | + | 10.1259i | −1.04463 | + | 0.465097i | ||||
\(475\) | 15.5751 | + | 3.31058i | 0.714632 | + | 0.151900i | ||||
\(476\) | −0.722955 | − | 6.87846i | −0.0331366 | − | 0.315274i | ||||
\(477\) | −2.04774 | + | 2.27425i | −0.0937597 | + | 0.104131i | ||||
\(478\) | −23.0130 | − | 25.5586i | −1.05259 | − | 1.16902i | ||||
\(479\) | 1.65246 | − | 15.7221i | 0.0755029 | − | 0.718362i | −0.889644 | − | 0.456654i | \(-0.849048\pi\) |
0.965147 | − | 0.261708i | \(-0.0842856\pi\) | |||||||
\(480\) | −2.63658 | + | 8.11456i | −0.120343 | + | 0.370377i | ||||
\(481\) | 1.47715 | − | 4.54621i | 0.0673525 | − | 0.207290i | ||||
\(482\) | −2.93010 | + | 27.8780i | −0.133462 | + | 1.26981i | ||||
\(483\) | −4.80513 | − | 5.33664i | −0.218641 | − | 0.242825i | ||||
\(484\) | −1.01512 | + | 1.12740i | −0.0461416 | + | 0.0512455i | ||||
\(485\) | 1.76332 | + | 16.7769i | 0.0800682 | + | 0.761798i | ||||
\(486\) | 15.3271 | + | 3.25787i | 0.695251 | + | 0.147780i | ||||
\(487\) | 11.6857 | − | 5.20283i | 0.529532 | − | 0.235763i | −0.124514 | − | 0.992218i | \(-0.539737\pi\) |
0.654046 | + | 0.756455i | \(0.273070\pi\) | |||||||
\(488\) | −6.73758 | − | 4.89514i | −0.304996 | − | 0.221593i | ||||
\(489\) | −0.252445 | − | 0.112396i | −0.0114160 | − | 0.00508271i | ||||
\(490\) | 7.11185 | + | 12.3181i | 0.321281 | + | 0.556475i | ||||
\(491\) | 9.26410 | − | 16.0459i | 0.418083 | − | 0.724141i | −0.577664 | − | 0.816275i | \(-0.696036\pi\) |
0.995747 | + | 0.0921341i | \(0.0293688\pi\) | |||||||
\(492\) | 0.272653 | − | 0.198094i | 0.0122921 | − | 0.00893076i | ||||
\(493\) | 25.1364 | − | 5.34290i | 1.13209 | − | 0.240632i | ||||
\(494\) | −6.11864 | − | 18.8312i | −0.275290 | − | 0.847257i | ||||
\(495\) | 7.59016 | 0.341152 | ||||||||
\(496\) | −7.25967 | − | 13.8240i | −0.325969 | − | 0.620717i | ||||
\(497\) | 19.3922 | 0.869861 | ||||||||
\(498\) | −6.63277 | − | 20.4136i | −0.297221 | − | 0.914754i | ||||
\(499\) | −39.9938 | + | 8.50094i | −1.79037 | + | 0.380554i | −0.978980 | − | 0.203955i | \(-0.934620\pi\) |
−0.811387 | + | 0.584510i | \(0.801287\pi\) | |||||||
\(500\) | 4.58489 | − | 3.33112i | 0.205042 | − | 0.148972i | ||||
\(501\) | 4.09681 | − | 7.09588i | 0.183032 | − | 0.317021i | ||||
\(502\) | 10.0018 | + | 17.3237i | 0.446404 | + | 0.773195i | ||||
\(503\) | 18.3413 | + | 8.16609i | 0.817800 | + | 0.364108i | 0.772618 | − | 0.634871i | \(-0.218947\pi\) |
0.0451817 | + | 0.998979i | \(0.485613\pi\) | |||||||
\(504\) | −12.2852 | − | 8.92575i | −0.547228 | − | 0.397585i | ||||
\(505\) | 0.563001 | − | 0.250664i | 0.0250532 | − | 0.0111544i | ||||
\(506\) | 4.12485 | + | 0.876764i | 0.183372 | + | 0.0389769i | ||||
\(507\) | 1.31361 | + | 12.4981i | 0.0583393 | + | 0.555061i | ||||
\(508\) | 6.52007 | − | 7.24127i | 0.289281 | − | 0.321279i | ||||
\(509\) | −21.3528 | − | 23.7147i | −0.946445 | − | 1.05113i | −0.998621 | − | 0.0524956i | \(-0.983282\pi\) |
0.0521763 | − | 0.998638i | \(-0.483384\pi\) | |||||||
\(510\) | 1.55906 | − | 14.8335i | 0.0690364 | − | 0.656837i | ||||
\(511\) | −6.33760 | + | 19.5051i | −0.280359 | + | 0.862855i | ||||
\(512\) | −7.60561 | + | 23.4076i | −0.336123 | + | 1.03448i | ||||
\(513\) | 2.24127 | − | 21.3242i | 0.0989544 | − | 0.941488i | ||||
\(514\) | 19.2534 | + | 21.3831i | 0.849233 | + | 0.943169i | ||||
\(515\) | −3.38895 | + | 3.76381i | −0.149335 | + | 0.165853i | ||||
\(516\) | 0.405835 | + | 3.86126i | 0.0178659 | + | 0.169982i | ||||
\(517\) | −4.37526 | − | 0.929990i | −0.192424 | − | 0.0409009i | ||||
\(518\) | 7.76725 | − | 3.45820i | 0.341273 | − | 0.151945i | ||||
\(519\) | 24.2687 | + | 17.6323i | 1.06528 | + | 0.773970i | ||||
\(520\) | −11.3777 | − | 5.06568i | −0.498945 | − | 0.222145i | ||||
\(521\) | −1.05378 | − | 1.82520i | −0.0461670 | − | 0.0799635i | 0.842019 | − | 0.539449i | \(-0.181367\pi\) |
−0.888185 | + | 0.459485i | \(0.848034\pi\) | |||||||
\(522\) | 5.47624 | − | 9.48512i | 0.239688 | − | 0.415152i | ||||
\(523\) | −3.97047 | + | 2.88471i | −0.173616 | + | 0.126140i | −0.671200 | − | 0.741276i | \(-0.734221\pi\) |
0.497584 | + | 0.867416i | \(0.334221\pi\) | |||||||
\(524\) | 5.96159 | − | 1.26717i | 0.260433 | − | 0.0553568i | ||||
\(525\) | 6.36830 | + | 19.5996i | 0.277935 | + | 0.855397i | ||||
\(526\) | −12.8076 | −0.558440 | ||||||||
\(527\) | −13.4252 | − | 16.1672i | −0.584811 | − | 0.704255i | ||||
\(528\) | 21.8886 | 0.952580 | ||||||||
\(529\) | −6.85158 | − | 21.0870i | −0.297895 | − | 0.916826i | ||||
\(530\) | −4.36677 | + | 0.928185i | −0.189680 | + | 0.0403178i | ||||
\(531\) | −8.21591 | + | 5.96921i | −0.356540 | + | 0.259042i | ||||
\(532\) | −5.58748 | + | 9.67780i | −0.242248 | + | 0.419586i | ||||
\(533\) | 0.444199 | + | 0.769375i | 0.0192404 | + | 0.0333253i | ||||
\(534\) | 11.9017 | + | 5.29898i | 0.515038 | + | 0.229310i | ||||
\(535\) | 3.94743 | + | 2.86798i | 0.170662 | + | 0.123993i | ||||
\(536\) | 20.7316 | − | 9.23030i | 0.895469 | − | 0.398688i | ||||
\(537\) | 35.9648 | + | 7.64456i | 1.55200 | + | 0.329887i | ||||
\(538\) | 0.569031 | + | 5.41397i | 0.0245327 | + | 0.233413i | ||||
\(539\) | −18.7980 | + | 20.8773i | −0.809689 | + | 0.899251i | ||||
\(540\) | −1.75181 | − | 1.94558i | −0.0753858 | − | 0.0837245i | ||||
\(541\) | 1.30002 | − | 12.3689i | 0.0558923 | − | 0.531780i | −0.930373 | − | 0.366613i | \(-0.880517\pi\) |
0.986266 | − | 0.165167i | \(-0.0528162\pi\) | |||||||
\(542\) | 2.34278 | − | 7.21033i | 0.100631 | − | 0.309710i | ||||
\(543\) | −7.73236 | + | 23.7978i | −0.331827 | + | 1.02126i | ||||
\(544\) | −1.04959 | + | 9.98614i | −0.0450006 | + | 0.428152i | ||||
\(545\) | −7.19428 | − | 7.99006i | −0.308169 | − | 0.342257i | ||||
\(546\) | 17.1474 | − | 19.0442i | 0.733842 | − | 0.815014i | ||||
\(547\) | 1.45974 | + | 13.8885i | 0.0624140 | + | 0.593830i | 0.980373 | + | 0.197154i | \(0.0631697\pi\) |
−0.917959 | + | 0.396676i | \(0.870164\pi\) | |||||||
\(548\) | −4.65476 | − | 0.989399i | −0.198841 | − | 0.0422650i | ||||
\(549\) | −3.24811 | + | 1.44615i | −0.138626 | + | 0.0617202i | ||||
\(550\) | −9.79058 | − | 7.11327i | −0.417472 | − | 0.303311i | ||||
\(551\) | −37.9313 | − | 16.8881i | −1.61593 | − | 0.719456i | ||||
\(552\) | 2.88656 | + | 4.99967i | 0.122860 | + | 0.212800i | ||||
\(553\) | −18.5190 | + | 32.0759i | −0.787509 | + | 1.36401i | ||||
\(554\) | −21.9779 | + | 15.9679i | −0.933752 | + | 0.678411i | ||||
\(555\) | −5.69080 | + | 1.20962i | −0.241561 | + | 0.0513454i | ||||
\(556\) | 2.30732 | + | 7.10121i | 0.0978523 | + | 0.301159i | ||||
\(557\) | −37.2207 | −1.57709 | −0.788546 | − | 0.614976i | \(-0.789166\pi\) | ||||
−0.788546 | + | 0.614976i | \(0.789166\pi\) | |||||||
\(558\) | −8.94927 | − | 0.358481i | −0.378853 | − | 0.0151757i | ||||
\(559\) | −10.2346 | −0.432876 | ||||||||
\(560\) | −5.09496 | − | 15.6807i | −0.215301 | − | 0.662629i | ||||
\(561\) | 28.8152 | − | 6.12487i | 1.21658 | − | 0.258592i | ||||
\(562\) | 30.6766 | − | 22.2878i | 1.29401 | − | 0.940156i | ||||
\(563\) | 15.0134 | − | 26.0039i | 0.632738 | − | 1.09593i | −0.354252 | − | 0.935150i | \(-0.615264\pi\) |
0.986990 | − | 0.160784i | \(-0.0514023\pi\) | |||||||
\(564\) | −0.594349 | − | 1.02944i | −0.0250266 | − | 0.0433474i | ||||
\(565\) | 21.5284 | + | 9.58507i | 0.905707 | + | 0.403247i | ||||
\(566\) | 21.2780 | + | 15.4594i | 0.894380 | + | 0.649805i | ||||
\(567\) | 38.9613 | − | 17.3467i | 1.63622 | − | 0.728492i | ||||
\(568\) | −15.2493 | − | 3.24133i | −0.639846 | − | 0.136003i | ||||
\(569\) | 4.21995 | + | 40.1502i | 0.176910 | + | 1.68318i | 0.618359 | + | 0.785896i | \(0.287798\pi\) |
−0.441449 | + | 0.897286i | \(0.645536\pi\) | |||||||
\(570\) | −16.1253 | + | 17.9090i | −0.675415 | + | 0.750125i | ||||
\(571\) | 28.5060 | + | 31.6591i | 1.19294 | + | 1.32489i | 0.933262 | + | 0.359197i | \(0.116949\pi\) |
0.259677 | + | 0.965696i | \(0.416384\pi\) | |||||||
\(572\) | 0.499129 | − | 4.74889i | 0.0208696 | − | 0.198561i | ||||
\(573\) | 3.25187 | − | 10.0082i | 0.135849 | − | 0.418100i | ||||
\(574\) | −0.488296 | + | 1.50282i | −0.0203811 | + | 0.0627265i | ||||
\(575\) | 0.248324 | − | 2.36264i | 0.0103558 | − | 0.0985290i | ||||
\(576\) | 7.76324 | + | 8.62195i | 0.323468 | + | 0.359248i | ||||
\(577\) | −4.37462 | + | 4.85851i | −0.182118 | + | 0.202262i | −0.827290 | − | 0.561775i | \(-0.810119\pi\) |
0.645173 | + | 0.764037i | \(0.276785\pi\) | |||||||
\(578\) | 0.354754 | + | 3.37526i | 0.0147558 | + | 0.140392i | ||||
\(579\) | 40.6774 | + | 8.64624i | 1.69049 | + | 0.359325i | ||||
\(580\) | −4.63142 | + | 2.06204i | −0.192309 | + | 0.0856216i | ||||
\(581\) | −25.8344 | − | 18.7698i | −1.07179 | − | 0.778703i | ||||
\(582\) | 25.4922 | + | 11.3499i | 1.05669 | + | 0.470467i | ||||
\(583\) | −4.40874 | − | 7.63617i | −0.182591 | − | 0.316258i | ||||
\(584\) | 8.24383 | − | 14.2787i | 0.341132 | − | 0.590858i | ||||
\(585\) | −4.30166 | + | 3.12534i | −0.177852 | + | 0.129217i | ||||
\(586\) | 2.16827 | − | 0.460880i | 0.0895704 | − | 0.0190388i | ||||
\(587\) | −6.60607 | − | 20.3314i | −0.272662 | − | 0.839167i | −0.989829 | − | 0.142265i | \(-0.954561\pi\) |
0.717167 | − | 0.696902i | \(-0.245439\pi\) | |||||||
\(588\) | −7.46576 | −0.307883 | ||||||||
\(589\) | 2.19476 | + | 33.8830i | 0.0904333 | + | 1.39612i | ||||
\(590\) | −14.8146 | −0.609907 | ||||||||
\(591\) | 13.9195 | + | 42.8397i | 0.572570 | + | 1.76219i | ||||
\(592\) | −4.97621 | + | 1.05773i | −0.204521 | + | 0.0434723i | ||||
\(593\) | −21.0268 | + | 15.2769i | −0.863468 | + | 0.627347i | −0.928826 | − | 0.370515i | \(-0.879181\pi\) |
0.0653579 | + | 0.997862i | \(0.479181\pi\) | |||||||
\(594\) | −8.14807 | + | 14.1129i | −0.334319 | + | 0.579058i | ||||
\(595\) | −11.0950 | − | 19.2171i | −0.454851 | − | 0.787824i | ||||
\(596\) | 6.70858 | + | 2.98685i | 0.274794 | + | 0.122346i | ||||
\(597\) | −25.4582 | − | 18.4965i | −1.04193 | − | 0.757010i | ||||
\(598\) | −2.69874 | + | 1.20156i | −0.110360 | + | 0.0491353i | ||||
\(599\) | 8.98718 | + | 1.91028i | 0.367206 | + | 0.0780521i | 0.387819 | − | 0.921735i | \(-0.373228\pi\) |
−0.0206131 | + | 0.999788i | \(0.506562\pi\) | |||||||
\(600\) | −1.73178 | − | 16.4768i | −0.0706996 | − | 0.672661i | ||||
\(601\) | 22.2948 | − | 24.7609i | 0.909423 | − | 1.01002i | −0.0904769 | − | 0.995899i | \(-0.528839\pi\) |
0.999900 | − | 0.0141185i | \(-0.00449419\pi\) | |||||||
\(602\) | −12.1807 | − | 13.5281i | −0.496450 | − | 0.551364i | ||||
\(603\) | 1.01272 | − | 9.63543i | 0.0412413 | − | 0.392385i | ||||
\(604\) | 0.0389782 | − | 0.119962i | 0.00158600 | − | 0.00488120i | ||||
\(605\) | −1.50407 | + | 4.62905i | −0.0611491 | + | 0.188197i | ||||
\(606\) | 0.106560 | − | 1.01385i | 0.00432871 | − | 0.0411849i | ||||
\(607\) | −32.5872 | − | 36.1917i | −1.32267 | − | 1.46898i | −0.774434 | − | 0.632654i | \(-0.781965\pi\) |
−0.548238 | − | 0.836322i | \(-0.684701\pi\) | |||||||
\(608\) | 10.8558 | − | 12.0566i | 0.440262 | − | 0.488961i | ||||
\(609\) | −5.61717 | − | 53.4438i | −0.227619 | − | 2.16565i | ||||
\(610\) | −5.07336 | − | 1.07838i | −0.205414 | − | 0.0436622i | ||||
\(611\) | 2.86257 | − | 1.27450i | 0.115807 | − | 0.0515608i | ||||
\(612\) | 1.92046 | + | 1.39530i | 0.0776300 | + | 0.0564015i | ||||
\(613\) | 19.1059 | + | 8.50649i | 0.771680 | + | 0.343574i | 0.754519 | − | 0.656279i | \(-0.227870\pi\) |
0.0171613 | + | 0.999853i | \(0.494537\pi\) | |||||||
\(614\) | −16.4923 | − | 28.5654i | −0.665573 | − | 1.15281i | ||||
\(615\) | 0.540633 | − | 0.936404i | 0.0218004 | − | 0.0377594i | ||||
\(616\) | 35.3968 | − | 25.7173i | 1.42618 | − | 1.03618i | ||||
\(617\) | −44.3922 | + | 9.43586i | −1.78716 | + | 0.379873i | −0.978147 | − | 0.207913i | \(-0.933333\pi\) |
−0.809016 | + | 0.587787i | \(0.799999\pi\) | |||||||
\(618\) | 2.58891 | + | 7.96784i | 0.104141 | + | 0.320514i | ||||
\(619\) | −10.2462 | −0.411832 | −0.205916 | − | 0.978570i | \(-0.566017\pi\) | ||||
−0.205916 | + | 0.978570i | \(0.566017\pi\) | |||||||
\(620\) | 3.25379 | + | 2.56913i | 0.130676 | + | 0.103179i | ||||
\(621\) | −3.19902 | −0.128372 | ||||||||
\(622\) | 1.59202 | + | 4.89973i | 0.0638341 | + | 0.196461i | ||||
\(623\) | 18.9589 | − | 4.02983i | 0.759571 | − | 0.161452i | ||||
\(624\) | −12.4052 | + | 9.01290i | −0.496605 | + | 0.360805i | ||||
\(625\) | 2.56358 | − | 4.44025i | 0.102543 | − | 0.177610i | ||||
\(626\) | 6.98816 | + | 12.1038i | 0.279303 | + | 0.483767i | ||||
\(627\) | −43.4827 | − | 19.3598i | −1.73653 | − | 0.773154i | ||||
\(628\) | 6.20729 | + | 4.50986i | 0.247698 | + | 0.179963i | ||||
\(629\) | −6.25495 | + | 2.78488i | −0.249401 | + | 0.111041i | ||||
\(630\) | −9.25073 | − | 1.96630i | −0.368558 | − | 0.0783394i | ||||
\(631\) | 1.11605 | + | 10.6185i | 0.0444291 | + | 0.422715i | 0.994018 | + | 0.109217i | \(0.0348343\pi\) |
−0.949589 | + | 0.313498i | \(0.898499\pi\) | |||||||
\(632\) | 19.9240 | − | 22.1278i | 0.792533 | − | 0.880197i | ||||
\(633\) | 8.75322 | + | 9.72144i | 0.347909 | + | 0.386392i | ||||
\(634\) | −3.33344 | + | 31.7156i | −0.132388 | + | 1.25959i | ||||
\(635\) | 9.66059 | − | 29.7322i | 0.383369 | − | 1.17989i | ||||
\(636\) | 0.724101 | − | 2.22855i | 0.0287125 | − | 0.0883679i | ||||
\(637\) | 2.05714 | − | 19.5724i | 0.0815068 | − | 0.775485i | ||||
\(638\) | 21.1156 | + | 23.4512i | 0.835975 | + | 0.928444i | ||||
\(639\) | −4.45358 | + | 4.94621i | −0.176181 | + | 0.195669i | ||||
\(640\) | 0.909495 | + | 8.65326i | 0.0359509 | + | 0.342050i | ||||
\(641\) | −23.3407 | − | 4.96121i | −0.921900 | − | 0.195956i | −0.277572 | − | 0.960705i | \(-0.589530\pi\) |
−0.644328 | + | 0.764749i | \(0.722863\pi\) | |||||||
\(642\) | 7.37340 | − | 3.28285i | 0.291005 | − | 0.129564i | ||||
\(643\) | 6.42300 | + | 4.66658i | 0.253298 | + | 0.184032i | 0.707187 | − | 0.707026i | \(-0.249964\pi\) |
−0.453889 | + | 0.891058i | \(0.649964\pi\) | |||||||
\(644\) | 1.52312 | + | 0.678137i | 0.0600194 | + | 0.0267224i | ||||
\(645\) | 6.22823 | + | 10.7876i | 0.245237 | + | 0.424762i | ||||
\(646\) | −14.1805 | + | 24.5614i | −0.557925 | + | 0.966355i | ||||
\(647\) | −2.00443 | + | 1.45630i | −0.0788023 | + | 0.0572532i | −0.626489 | − | 0.779430i | \(-0.715509\pi\) |
0.547687 | + | 0.836684i | \(0.315509\pi\) | |||||||
\(648\) | −33.5370 | + | 7.12851i | −1.31746 | + | 0.280034i | ||||
\(649\) | −9.04192 | − | 27.8282i | −0.354926 | − | 1.09235i | ||||
\(650\) | 8.47769 | 0.332523 | ||||||||
\(651\) | −36.5574 | + | 24.3864i | −1.43280 | + | 0.955778i | ||||
\(652\) | 0.0641574 | 0.00251260 | ||||||||
\(653\) | 6.95104 | + | 21.3931i | 0.272015 | + | 0.837177i | 0.989994 | + | 0.141112i | \(0.0450677\pi\) |
−0.717978 | + | 0.696065i | \(0.754932\pi\) | |||||||
\(654\) | −17.3965 | + | 3.69774i | −0.680257 | + | 0.144593i | ||||
\(655\) | 15.8196 | − | 11.4936i | 0.618123 | − | 0.449093i | ||||
\(656\) | 0.472746 | − | 0.818821i | 0.0184576 | − | 0.0319696i | ||||
\(657\) | −3.51952 | − | 6.09598i | −0.137309 | − | 0.237827i | ||||
\(658\) | 5.09155 | + | 2.26690i | 0.198489 | + | 0.0883731i | ||||
\(659\) | 9.67555 | + | 7.02970i | 0.376906 | + | 0.273838i | 0.760069 | − | 0.649843i | \(-0.225165\pi\) |
−0.383163 | + | 0.923681i | \(0.625165\pi\) | |||||||
\(660\) | −5.30925 | + | 2.36383i | −0.206662 | + | 0.0920120i | ||||
\(661\) | −23.3151 | − | 4.95578i | −0.906852 | − | 0.192757i | −0.269202 | − | 0.963084i | \(-0.586760\pi\) |
−0.637650 | + | 0.770326i | \(0.720093\pi\) | |||||||
\(662\) | −0.0986312 | − | 0.938413i | −0.00383341 | − | 0.0364725i | ||||
\(663\) | −13.8088 | + | 15.3362i | −0.536289 | + | 0.595609i | ||||
\(664\) | 17.1779 | + | 19.0779i | 0.666630 | + | 0.740368i | ||||
\(665\) | −3.74766 | + | 35.6567i | −0.145328 | + | 1.38271i | ||||
\(666\) | −0.901758 | + | 2.77533i | −0.0349424 | + | 0.107542i | ||||
\(667\) | −1.91429 | + | 5.89158i | −0.0741216 | + | 0.228123i | ||||
\(668\) | −0.198848 | + | 1.89191i | −0.00769365 | + | 0.0732002i | ||||
\(669\) | 10.2593 | + | 11.3941i | 0.396646 | + | 0.440520i | ||||
\(670\) | 9.45712 | − | 10.5032i | 0.365360 | − | 0.405774i | ||||
\(671\) | −1.07082 | − | 10.1881i | −0.0413384 | − | 0.393309i | ||||
\(672\) | 20.5387 | + | 4.36563i | 0.792297 | + | 0.168408i | ||||
\(673\) | 3.19204 | − | 1.42119i | 0.123044 | − | 0.0547827i | −0.344291 | − | 0.938863i | \(-0.611881\pi\) |
0.467335 | + | 0.884080i | \(0.345214\pi\) | |||||||
\(674\) | −2.38679 | − | 1.73411i | −0.0919359 | − | 0.0667953i | ||||
\(675\) | 8.38677 | + | 3.73403i | 0.322807 | + | 0.143723i | ||||
\(676\) | −1.45885 | − | 2.52680i | −0.0561096 | − | 0.0971847i | ||||
\(677\) | 9.62287 | − | 16.6673i | 0.369837 | − | 0.640576i | −0.619703 | − | 0.784836i | \(-0.712747\pi\) |
0.989540 | + | 0.144260i | \(0.0460803\pi\) | |||||||
\(678\) | 31.5370 | − | 22.9130i | 1.21117 | − | 0.879967i | ||||
\(679\) | 40.6079 | − | 8.63147i | 1.55839 | − | 0.331245i | ||||
\(680\) | 5.51260 | + | 16.9660i | 0.211399 | + | 0.650618i | ||||
\(681\) | 39.9221 | 1.52982 | ||||||||
\(682\) | 8.95034 | − | 24.2039i | 0.342726 | − | 0.926814i | ||||
\(683\) | −39.8738 | −1.52573 | −0.762865 | − | 0.646558i | \(-0.776208\pi\) | ||||
−0.762865 | + | 0.646558i | \(0.776208\pi\) | |||||||
\(684\) | −1.18522 | − | 3.64773i | −0.0453180 | − | 0.139475i | ||||
\(685\) | −14.9340 | + | 3.17433i | −0.570601 | + | 0.121285i | ||||
\(686\) | 1.77673 | − | 1.29087i | 0.0678359 | − | 0.0492857i | ||||
\(687\) | 6.31529 | − | 10.9384i | 0.240944 | − | 0.417326i | ||||
\(688\) | 5.44616 | + | 9.43303i | 0.207633 | + | 0.359631i | ||||
\(689\) | 5.64290 | + | 2.51238i | 0.214977 | + | 0.0957140i | ||||
\(690\) | 2.90880 | + | 2.11337i | 0.110736 | + | 0.0804545i | ||||
\(691\) | 35.0897 | − | 15.6229i | 1.33487 | − | 0.594325i | 0.389716 | − | 0.920935i | \(-0.372573\pi\) |
0.945159 | + | 0.326611i | \(0.105907\pi\) | |||||||
\(692\) | −6.81246 | − | 1.44803i | −0.258971 | − | 0.0550459i | ||||
\(693\) | −1.95252 | − | 18.5770i | −0.0741700 | − | 0.705680i | ||||
\(694\) | 4.66477 | − | 5.18075i | 0.177072 | − | 0.196659i | ||||
\(695\) | 16.0294 | + | 17.8025i | 0.608030 | + | 0.675286i | ||||
\(696\) | −4.51580 | + | 42.9649i | −0.171171 | + | 1.62858i | ||||
\(697\) | 0.393224 | − | 1.21022i | 0.0148944 | − | 0.0458403i | ||||
\(698\) | 11.0678 | − | 34.0633i | 0.418924 | − | 1.28932i | ||||
\(699\) | −3.80173 | + | 36.1710i | −0.143795 | + | 1.36811i | ||||
\(700\) | −3.20156 | − | 3.55570i | −0.121008 | − | 0.134393i | ||||
\(701\) | −23.7043 | + | 26.3263i | −0.895298 | + | 0.994329i | −1.00000 | 0.000174860i | \(-0.999944\pi\) | |
0.104702 | + | 0.994504i | \(0.466611\pi\) | |||||||
\(702\) | −1.19329 | − | 11.3534i | −0.0450379 | − | 0.428507i | ||||
\(703\) | 10.8210 | + | 2.30007i | 0.408121 | + | 0.0867488i | ||||
\(704\) | −30.5381 | + | 13.5965i | −1.15095 | + | 0.512436i | ||||
\(705\) | −3.08539 | − | 2.24166i | −0.116202 | − | 0.0844260i | ||||
\(706\) | −21.6970 | − | 9.66015i | −0.816579 | − | 0.363564i | ||||
\(707\) | −0.758331 | − | 1.31347i | −0.0285200 | − | 0.0493980i | ||||
\(708\) | 3.88795 | − | 6.73412i | 0.146118 | − | 0.253084i | ||||
\(709\) | 20.8801 | − | 15.1703i | 0.784170 | − | 0.569733i | −0.122057 | − | 0.992523i | \(-0.538949\pi\) |
0.906228 | + | 0.422790i | \(0.138949\pi\) | |||||||
\(710\) | −9.49718 | + | 2.01869i | −0.356423 | + | 0.0757600i | ||||
\(711\) | −3.92827 | − | 12.0900i | −0.147322 | − | 0.453409i | ||||
\(712\) | −15.5821 | −0.583962 | ||||||||
\(713\) | 4.99330 | − | 0.854070i | 0.187001 | − | 0.0319852i | ||||
\(714\) | −36.7061 | −1.37369 | ||||||||
\(715\) | −4.73414 | − | 14.5702i | −0.177047 | − | 0.544894i | ||||
\(716\) | −8.35004 | + | 1.77486i | −0.312056 | + | 0.0663295i | ||||
\(717\) | 46.8557 | − | 34.0426i | 1.74986 | − | 1.27135i | ||||
\(718\) | −6.37296 | + | 11.0383i | −0.237837 | + | 0.411945i | ||||
\(719\) | 19.5234 | + | 33.8155i | 0.728099 | + | 1.26110i | 0.957686 | + | 0.287816i | \(0.0929291\pi\) |
−0.229587 | + | 0.973288i | \(0.573738\pi\) | |||||||
\(720\) | 5.16963 | + | 2.30167i | 0.192661 | + | 0.0857780i | ||||
\(721\) | 10.0837 | + | 7.32625i | 0.375537 | + | 0.272844i | ||||
\(722\) | 20.4749 | − | 9.11599i | 0.761995 | − | 0.339262i | ||||
\(723\) | −46.1736 | − | 9.81450i | −1.71721 | − | 0.365005i | ||||
\(724\) | −0.607260 | − | 5.77769i | −0.0225686 | − | 0.214726i | ||||
\(725\) | 11.8955 | − | 13.2113i | 0.441788 | − | 0.490656i | ||||
\(726\) | 5.38737 | + | 5.98328i | 0.199944 | + | 0.222060i | ||||
\(727\) | −2.61150 | + | 24.8468i | −0.0968552 | + | 0.921516i | 0.832921 | + | 0.553391i | \(0.186667\pi\) |
−0.929777 | + | 0.368124i | \(0.880000\pi\) | |||||||
\(728\) | −9.47144 | + | 29.1501i | −0.351035 | + | 1.08037i | ||||
\(729\) | 2.24010 | − | 6.89433i | 0.0829668 | − | 0.255345i | ||||
\(730\) | 1.07334 | − | 10.2122i | 0.0397262 | − | 0.377970i | ||||
\(731\) | 9.80913 | + | 10.8941i | 0.362804 | + | 0.402934i | ||||
\(732\) | 1.82164 | − | 2.02314i | 0.0673299 | − | 0.0747774i | ||||
\(733\) | 1.77166 | + | 16.8562i | 0.0654377 | + | 0.622598i | 0.977265 | + | 0.212023i | \(0.0680052\pi\) |
−0.911827 | + | 0.410575i | \(0.865328\pi\) | |||||||
\(734\) | 0.164593 | + | 0.0349853i | 0.00607524 | + | 0.00129133i | ||||
\(735\) | −21.8819 | + | 9.74243i | −0.807125 | + | 0.359355i | ||||
\(736\) | −1.95825 | − | 1.42275i | −0.0721821 | − | 0.0524434i | ||||
\(737\) | 25.5016 | + | 11.3540i | 0.939363 | + | 0.418231i | ||||
\(738\) | −0.271170 | − | 0.469680i | −0.00998190 | − | 0.0172892i | ||||
\(739\) | −7.19107 | + | 12.4553i | −0.264528 | + | 0.458175i | −0.967440 | − | 0.253101i | \(-0.918549\pi\) |
0.702912 | + | 0.711277i | \(0.251883\pi\) | |||||||
\(740\) | 1.09279 | − | 0.793959i | 0.0401718 | − | 0.0291865i | ||||
\(741\) | 32.6151 | − | 6.93254i | 1.19814 | − | 0.254673i | ||||
\(742\) | 3.39506 | + | 10.4489i | 0.124637 | + | 0.383592i | ||||
\(743\) | −27.7705 | −1.01880 | −0.509400 | − | 0.860530i | \(-0.670133\pi\) | ||||
−0.509400 | + | 0.860530i | \(0.670133\pi\) | |||||||
\(744\) | 32.8233 | − | 13.0661i | 1.20336 | − | 0.479025i | ||||
\(745\) | 23.5603 | 0.863183 | ||||||||
\(746\) | −2.80390 | − | 8.62953i | −0.102658 | − | 0.315950i | ||||
\(747\) | 10.7205 | − | 2.27872i | 0.392244 | − | 0.0833740i | ||||
\(748\) | −5.53332 | + | 4.02019i | −0.202318 | + | 0.146993i | ||||
\(749\) | 6.00394 | − | 10.3991i | 0.219379 | − | 0.379976i | ||||
\(750\) | −15.0384 | − | 26.0473i | −0.549126 | − | 0.951113i | ||||
\(751\) | −39.8034 | − | 17.7216i | −1.45245 | − | 0.646670i | −0.479465 | − | 0.877561i | \(-0.659169\pi\) |
−0.972980 | + | 0.230891i | \(0.925836\pi\) | |||||||
\(752\) | −2.69796 | − | 1.96018i | −0.0983844 | − | 0.0714804i | ||||
\(753\) | −30.7739 | + | 13.7014i | −1.12146 | + | 0.499307i | ||||
\(754\) | −21.6234 | − | 4.59620i | −0.787478 | − | 0.167384i | ||||
\(755\) | −0.0423013 | − | 0.402470i | −0.00153950 | − | 0.0146474i | ||||
\(756\) | −4.31118 | + | 4.78805i | −0.156796 | + | 0.174140i | ||||
\(757\) | 16.8735 | + | 18.7400i | 0.613279 | + | 0.681115i | 0.967158 | − | 0.254176i | \(-0.0818042\pi\) |
−0.353879 | + | 0.935291i | \(0.615138\pi\) | |||||||
\(758\) | 0.593514 | − | 5.64691i | 0.0215574 | − | 0.205105i | ||||
\(759\) | −2.19446 | + | 6.75385i | −0.0796538 | + | 0.245149i | ||||
\(760\) | 8.90688 | − | 27.4125i | 0.323086 | − | 0.994358i | ||||
\(761\) | 0.273439 | − | 2.60160i | 0.00991216 | − | 0.0943079i | −0.988447 | − | 0.151565i | \(-0.951569\pi\) |
0.998359 | + | 0.0572569i | \(0.0182354\pi\) | |||||||
\(762\) | −34.6029 | − | 38.4305i | −1.25353 | − | 1.39219i | ||||
\(763\) | −17.7050 | + | 19.6634i | −0.640966 | + | 0.711864i | ||||
\(764\) | 0.255385 | + | 2.42983i | 0.00923952 | + | 0.0879081i | ||||
\(765\) | 7.44959 | + | 1.58346i | 0.269341 | + | 0.0572501i | ||||