Newspace parameters
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.n (of order \(6\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 275.1 | ||
Character | \(\chi\) | \(=\) | 588.275 |
Dual form | 588.2.n.d.263.1 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13414 | + | 0.844822i | −0.801959 | + | 0.597379i | ||||
\(3\) | −1.36816 | − | 1.06214i | −0.789909 | − | 0.613224i | ||||
\(4\) | 0.572551 | − | 1.91629i | 0.286276 | − | 0.958147i | ||||
\(5\) | 3.44057 | + | 1.98641i | 1.53867 | + | 0.888351i | 0.998917 | + | 0.0465264i | \(0.0148152\pi\) |
0.539752 | + | 0.841824i | \(0.318518\pi\) | |||||||
\(6\) | 2.44900 | + | 0.0487576i | 0.999802 | + | 0.0199052i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0.969574 | + | 2.65705i | 0.342796 | + | 0.939410i | ||||
\(9\) | 0.743736 | + | 2.90635i | 0.247912 | + | 0.968783i | ||||
\(10\) | −5.58025 | + | 0.653796i | −1.76463 | + | 0.206748i | ||||
\(11\) | 1.65172 | + | 2.86086i | 0.498013 | + | 0.862583i | 0.999997 | − | 0.00229340i | \(-0.000730012\pi\) |
−0.501985 | + | 0.864876i | \(0.667397\pi\) | |||||||
\(12\) | −2.81871 | + | 2.01367i | −0.813691 | + | 0.581298i | ||||
\(13\) | −0.850601 | −0.235914 | −0.117957 | − | 0.993019i | \(-0.537635\pi\) | ||||
−0.117957 | + | 0.993019i | \(0.537635\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.59742 | − | 6.37208i | −0.670650 | − | 1.64527i | ||||
\(16\) | −3.34437 | − | 2.19435i | −0.836092 | − | 0.548589i | ||||
\(17\) | 0.499236 | − | 0.288234i | 0.121082 | − | 0.0699070i | −0.438236 | − | 0.898860i | \(-0.644396\pi\) |
0.559318 | + | 0.828953i | \(0.311063\pi\) | |||||||
\(18\) | −3.29885 | − | 2.66788i | −0.777546 | − | 0.628826i | ||||
\(19\) | −3.11023 | − | 1.79569i | −0.713537 | − | 0.411960i | 0.0988326 | − | 0.995104i | \(-0.468489\pi\) |
−0.812369 | + | 0.583144i | \(0.801822\pi\) | |||||||
\(20\) | 5.77645 | − | 5.45582i | 1.29165 | − | 1.21996i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.29021 | − | 1.84921i | −0.914675 | − | 0.394254i | ||||
\(23\) | −1.98085 | + | 3.43094i | −0.413037 | + | 0.715401i | −0.995220 | − | 0.0976569i | \(-0.968865\pi\) |
0.582183 | + | 0.813057i | \(0.302199\pi\) | |||||||
\(24\) | 1.49561 | − | 4.66510i | 0.305291 | − | 0.952259i | ||||
\(25\) | 5.39167 | + | 9.33865i | 1.07833 | + | 1.86773i | ||||
\(26\) | 0.964701 | − | 0.718606i | 0.189193 | − | 0.140930i | ||||
\(27\) | 2.06938 | − | 4.76630i | 0.398253 | − | 0.917276i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.37929i | 0.627518i | 0.949503 | + | 0.313759i | \(0.101588\pi\) | ||||
−0.949503 | + | 0.313759i | \(0.898412\pi\) | |||||||
\(30\) | 8.32911 | + | 5.03249i | 1.52068 | + | 0.918802i | ||||
\(31\) | 4.24264 | − | 2.44949i | 0.762001 | − | 0.439941i | −0.0680129 | − | 0.997684i | \(-0.521666\pi\) |
0.830014 | + | 0.557743i | \(0.188333\pi\) | |||||||
\(32\) | 5.64683 | − | 0.336691i | 0.998227 | − | 0.0595191i | ||||
\(33\) | 0.778803 | − | 5.66848i | 0.135572 | − | 0.986755i | ||||
\(34\) | −0.322697 | + | 0.748663i | −0.0553421 | + | 0.128395i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 5.99525 | + | 0.238815i | 0.999208 | + | 0.0398026i | ||||
\(37\) | −2.14510 | + | 3.71543i | −0.352653 | + | 0.610812i | −0.986713 | − | 0.162471i | \(-0.948054\pi\) |
0.634061 | + | 0.773283i | \(0.281387\pi\) | |||||||
\(38\) | 5.04449 | − | 0.591024i | 0.818324 | − | 0.0958767i | ||||
\(39\) | 1.16376 | + | 0.903453i | 0.186351 | + | 0.144668i | ||||
\(40\) | −1.94212 | + | 11.0677i | −0.307076 | + | 1.74996i | ||||
\(41\) | − | 5.35550i | − | 0.836389i | −0.908357 | − | 0.418195i | \(-0.862663\pi\) | ||
0.908357 | − | 0.418195i | \(-0.137337\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.66518i | 1.16893i | 0.811419 | + | 0.584464i | \(0.198695\pi\) | ||||
−0.811419 | + | 0.584464i | \(0.801305\pi\) | |||||||
\(44\) | 6.42795 | − | 1.52719i | 0.969050 | − | 0.230233i | ||||
\(45\) | −3.21433 | + | 11.4769i | −0.479164 | + | 1.71087i | ||||
\(46\) | −0.651966 | − | 5.56464i | −0.0961272 | − | 0.820461i | ||||
\(47\) | −4.54525 | + | 7.87260i | −0.662993 | + | 1.14834i | 0.316833 | + | 0.948481i | \(0.397381\pi\) |
−0.979825 | + | 0.199856i | \(0.935953\pi\) | |||||||
\(48\) | 2.24494 | + | 6.55441i | 0.324029 | + | 0.946047i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −14.0044 | − | 6.03634i | −1.98052 | − | 0.853667i | ||||
\(51\) | −0.989179 | − | 0.135905i | −0.138513 | − | 0.0190305i | ||||
\(52\) | −0.487013 | + | 1.63000i | −0.0675365 | + | 0.226041i | ||||
\(53\) | −0.527096 | + | 0.304319i | −0.0724023 | + | 0.0418015i | −0.535764 | − | 0.844368i | \(-0.679976\pi\) |
0.463362 | + | 0.886169i | \(0.346643\pi\) | |||||||
\(54\) | 1.67971 | + | 7.15392i | 0.228579 | + | 0.973525i | ||||
\(55\) | 13.1240i | 1.76964i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.34803 | + | 5.76029i | 0.311005 | + | 0.762969i | ||||
\(58\) | −2.85490 | − | 3.83259i | −0.374866 | − | 0.503244i | ||||
\(59\) | 3.93980 | + | 6.82394i | 0.512919 | + | 0.888401i | 0.999888 | + | 0.0149820i | \(0.00476911\pi\) |
−0.486969 | + | 0.873419i | \(0.661898\pi\) | |||||||
\(60\) | −13.6979 | + | 1.32907i | −1.76840 | + | 0.171582i | ||||
\(61\) | 4.87315 | − | 8.44054i | 0.623943 | − | 1.08070i | −0.364802 | − | 0.931085i | \(-0.618863\pi\) |
0.988744 | − | 0.149615i | \(-0.0478034\pi\) | |||||||
\(62\) | −2.74237 | + | 6.36234i | −0.348281 | + | 0.808018i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.11985 | + | 5.15242i | −0.764982 | + | 0.644052i | ||||
\(65\) | −2.92655 | − | 1.68964i | −0.362994 | − | 0.209575i | ||||
\(66\) | 3.90558 | + | 7.08680i | 0.480744 | + | 0.872325i | ||||
\(67\) | 7.83384 | − | 4.52287i | 0.957056 | − | 0.552557i | 0.0617904 | − | 0.998089i | \(-0.480319\pi\) |
0.895266 | + | 0.445532i | \(0.146986\pi\) | |||||||
\(68\) | −0.266503 | − | 1.12171i | −0.0323182 | − | 0.136027i | ||||
\(69\) | 6.35425 | − | 2.59015i | 0.764962 | − | 0.311817i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.15654 | 1.08668 | 0.543341 | − | 0.839512i | \(-0.317159\pi\) | ||||
0.543341 | + | 0.839512i | \(0.317159\pi\) | |||||||
\(72\) | −7.00121 | + | 4.79407i | −0.825100 | + | 0.564986i | ||||
\(73\) | 0.707107 | + | 1.22474i | 0.0827606 | + | 0.143346i | 0.904435 | − | 0.426612i | \(-0.140293\pi\) |
−0.821674 | + | 0.569958i | \(0.806960\pi\) | |||||||
\(74\) | −0.706026 | − | 6.02605i | −0.0820738 | − | 0.700514i | ||||
\(75\) | 2.54223 | − | 18.5035i | 0.293551 | − | 2.13660i | ||||
\(76\) | −5.22185 | + | 4.93200i | −0.598987 | + | 0.565739i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −2.08312 | − | 0.0414733i | −0.235867 | − | 0.00469593i | ||||
\(79\) | 6.00000 | + | 3.46410i | 0.675053 | + | 0.389742i | 0.797988 | − | 0.602673i | \(-0.205898\pi\) |
−0.122936 | + | 0.992415i | \(0.539231\pi\) | |||||||
\(80\) | −7.14764 | − | 14.1931i | −0.799130 | − | 1.58684i | ||||
\(81\) | −7.89371 | + | 4.32311i | −0.877079 | + | 0.480346i | ||||
\(82\) | 4.52445 | + | 6.07390i | 0.499642 | + | 0.670750i | ||||
\(83\) | −4.13877 | −0.454289 | −0.227144 | − | 0.973861i | \(-0.572939\pi\) | ||||
−0.227144 | + | 0.973861i | \(0.572939\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.29021 | 0.248408 | ||||||||
\(86\) | −6.47571 | − | 8.69339i | −0.698294 | − | 0.937433i | ||||
\(87\) | 3.58926 | − | 4.62341i | 0.384809 | − | 0.495682i | ||||
\(88\) | −6.00000 | + | 7.16253i | −0.639602 | + | 0.763528i | ||||
\(89\) | 4.98550 | + | 2.87838i | 0.528462 | + | 0.305108i | 0.740390 | − | 0.672177i | \(-0.234641\pi\) |
−0.211928 | + | 0.977285i | \(0.567974\pi\) | |||||||
\(90\) | −6.05039 | − | 15.7319i | −0.637768 | − | 1.65829i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 5.44055 | + | 5.76029i | 0.567217 | + | 0.600552i | ||||
\(93\) | −8.40631 | − | 1.15496i | −0.871694 | − | 0.119764i | ||||
\(94\) | −1.49600 | − | 12.7686i | −0.154300 | − | 1.31698i | ||||
\(95\) | −7.13398 | − | 12.3564i | −0.731931 | − | 1.26774i | ||||
\(96\) | −8.08339 | − | 5.53705i | −0.825007 | − | 0.565122i | ||||
\(97\) | −13.5487 | −1.37567 | −0.687833 | − | 0.725869i | \(-0.741438\pi\) | ||||
−0.687833 | + | 0.725869i | \(0.741438\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −7.08622 | + | 6.92820i | −0.712192 | + | 0.696311i | ||||
\(100\) | 20.9826 | − | 4.98517i | 2.09826 | − | 0.498517i | ||||
\(101\) | 6.18294 | − | 3.56972i | 0.615225 | − | 0.355200i | −0.159782 | − | 0.987152i | \(-0.551079\pi\) |
0.775008 | + | 0.631952i | \(0.217746\pi\) | |||||||
\(102\) | 1.23668 | − | 0.681544i | 0.122450 | − | 0.0674829i | ||||
\(103\) | 9.10090 | + | 5.25441i | 0.896738 | + | 0.517732i | 0.876141 | − | 0.482056i | \(-0.160110\pi\) |
0.0205978 | + | 0.999788i | \(0.493443\pi\) | |||||||
\(104\) | −0.824720 | − | 2.26009i | −0.0808705 | − | 0.221620i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.340706 | − | 0.790444i | 0.0330923 | − | 0.0767747i | ||||
\(107\) | −0.616561 | + | 1.06792i | −0.0596052 | + | 0.103239i | −0.894288 | − | 0.447491i | \(-0.852318\pi\) |
0.834683 | + | 0.550731i | \(0.185651\pi\) | |||||||
\(108\) | −7.94881 | − | 6.69450i | −0.764875 | − | 0.644179i | ||||
\(109\) | 1.60147 | + | 2.77382i | 0.153393 | + | 0.265684i | 0.932473 | − | 0.361241i | \(-0.117647\pi\) |
−0.779080 | + | 0.626925i | \(0.784313\pi\) | |||||||
\(110\) | −11.0874 | − | 14.8845i | −1.05715 | − | 1.41918i | ||||
\(111\) | 6.88114 | − | 2.80492i | 0.653128 | − | 0.266231i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 19.9097i | − | 1.87294i | −0.350744 | − | 0.936471i | \(-0.614071\pi\) | ||
0.350744 | − | 0.936471i | \(-0.385929\pi\) | |||||||
\(114\) | −7.52942 | − | 4.54931i | −0.705195 | − | 0.426082i | ||||
\(115\) | −13.6305 | + | 7.86959i | −1.27105 | + | 0.733843i | ||||
\(116\) | 6.47571 | + | 1.93482i | 0.601255 | + | 0.179643i | ||||
\(117\) | −0.632623 | − | 2.47214i | −0.0584860 | − | 0.228550i | ||||
\(118\) | −10.2333 | − | 4.41088i | −0.942052 | − | 0.406054i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 14.4126 | − | 13.0797i | 1.31568 | − | 1.19401i | ||||
\(121\) | 0.0436371 | − | 0.0755817i | 0.00396701 | − | 0.00687107i | ||||
\(122\) | 1.60392 | + | 13.6897i | 0.145212 | + | 1.23941i | ||||
\(123\) | −5.68827 | + | 7.32720i | −0.512894 | + | 0.660671i | ||||
\(124\) | −2.26481 | − | 9.53261i | −0.203386 | − | 0.856053i | ||||
\(125\) | 22.9762i | 2.05505i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 16.4426i | − | 1.45904i | −0.683957 | − | 0.729522i | \(-0.739742\pi\) | ||
0.683957 | − | 0.729522i | \(-0.260258\pi\) | |||||||
\(128\) | 2.58790 | − | 11.0138i | 0.228740 | − | 0.973488i | ||||
\(129\) | 8.14146 | − | 10.4872i | 0.716815 | − | 0.923347i | ||||
\(130\) | 4.74657 | − | 0.556119i | 0.416302 | − | 0.0487749i | ||||
\(131\) | 1.13845 | − | 1.97186i | 0.0994670 | − | 0.172282i | −0.811997 | − | 0.583661i | \(-0.801620\pi\) |
0.911464 | + | 0.411379i | \(0.134953\pi\) | |||||||
\(132\) | −10.4166 | − | 4.73791i | −0.906646 | − | 0.412382i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −5.06366 | + | 11.7478i | −0.437434 | + | 1.01485i | ||||
\(135\) | 16.5877 | − | 12.2881i | 1.42764 | − | 1.05759i | ||||
\(136\) | 1.24990 | + | 1.04703i | 0.107178 | + | 0.0897822i | ||||
\(137\) | −7.97118 | + | 4.60216i | −0.681024 | + | 0.393189i | −0.800241 | − | 0.599679i | \(-0.795295\pi\) |
0.119217 | + | 0.992868i | \(0.461962\pi\) | |||||||
\(138\) | −5.01841 | + | 8.30581i | −0.427195 | + | 0.707037i | ||||
\(139\) | − | 11.1056i | − | 0.941960i | −0.882144 | − | 0.470980i | \(-0.843900\pi\) | ||
0.882144 | − | 0.470980i | \(-0.156100\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 14.5804 | − | 5.94333i | 1.22789 | − | 0.500519i | ||||
\(142\) | −10.3848 | + | 7.73565i | −0.871474 | + | 0.649161i | ||||
\(143\) | −1.40495 | − | 2.43345i | −0.117488 | − | 0.203496i | ||||
\(144\) | 3.89023 | − | 11.3519i | 0.324186 | − | 0.945994i | ||||
\(145\) | −6.71266 | + | 11.6267i | −0.557456 | + | 0.965542i | ||||
\(146\) | −1.83665 | − | 0.791654i | −0.152002 | − | 0.0655177i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.89167 | + | 6.23792i | 0.484292 | + | 0.512754i | ||||
\(149\) | 5.81744 | + | 3.35870i | 0.476584 | + | 0.275156i | 0.718992 | − | 0.695019i | \(-0.244604\pi\) |
−0.242408 | + | 0.970174i | \(0.577937\pi\) | |||||||
\(150\) | 12.7489 | + | 23.1333i | 1.04094 | + | 1.88882i | ||||
\(151\) | 11.4426 | − | 6.60641i | 0.931188 | − | 0.537622i | 0.0440012 | − | 0.999031i | \(-0.485989\pi\) |
0.887187 | + | 0.461410i | \(0.152656\pi\) | |||||||
\(152\) | 1.75565 | − | 10.0051i | 0.142402 | − | 0.811522i | ||||
\(153\) | 1.20901 | + | 1.23658i | 0.0977425 | + | 0.0999718i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 19.4628 | 1.56329 | ||||||||
\(156\) | 2.39759 | − | 1.71283i | 0.191961 | − | 0.137136i | ||||
\(157\) | 1.19412 | + | 2.06828i | 0.0953011 | + | 0.165066i | 0.909734 | − | 0.415191i | \(-0.136285\pi\) |
−0.814433 | + | 0.580257i | \(0.802952\pi\) | |||||||
\(158\) | −9.73140 | + | 1.14015i | −0.774188 | + | 0.0907057i | ||||
\(159\) | 1.04438 | + | 0.143490i | 0.0828249 | + | 0.0113795i | ||||
\(160\) | 20.0971 | + | 10.0585i | 1.58881 | + | 0.795196i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 5.30032 | − | 11.5718i | 0.416433 | − | 0.909167i | ||||
\(163\) | −15.8412 | − | 9.14590i | −1.24078 | − | 0.716362i | −0.271524 | − | 0.962432i | \(-0.587528\pi\) |
−0.969252 | + | 0.246069i | \(0.920861\pi\) | |||||||
\(164\) | −10.2627 | − | 3.06630i | −0.801384 | − | 0.239438i | ||||
\(165\) | 13.9395 | − | 17.9558i | 1.08519 | − | 1.39785i | ||||
\(166\) | 4.69394 | − | 3.49652i | 0.364321 | − | 0.271383i | ||||
\(167\) | −19.3650 | −1.49851 | −0.749253 | − | 0.662284i | \(-0.769587\pi\) | ||||
−0.749253 | + | 0.662284i | \(0.769587\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.2765 | −0.944344 | ||||||||
\(170\) | −2.59742 | + | 1.93482i | −0.199213 | + | 0.148394i | ||||
\(171\) | 2.90572 | − | 10.3749i | 0.222206 | − | 0.793392i | ||||
\(172\) | 14.6887 | + | 4.38871i | 1.12001 | + | 0.334636i | ||||
\(173\) | −4.83696 | − | 2.79262i | −0.367748 | − | 0.212319i | 0.304726 | − | 0.952440i | \(-0.401435\pi\) |
−0.672474 | + | 0.740121i | \(0.734768\pi\) | |||||||
\(174\) | −0.164766 | + | 8.27589i | −0.0124909 | + | 0.627394i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.753784 | − | 13.1922i | 0.0568186 | − | 0.994403i | ||||
\(177\) | 1.85766 | − | 13.5209i | 0.139630 | − | 1.01629i | ||||
\(178\) | −8.08598 | + | 0.947373i | −0.606070 | + | 0.0710086i | ||||
\(179\) | 9.68969 | + | 16.7830i | 0.724241 | + | 1.25442i | 0.959286 | + | 0.282438i | \(0.0911432\pi\) |
−0.235044 | + | 0.971985i | \(0.575523\pi\) | |||||||
\(180\) | 20.1527 | + | 12.7307i | 1.50209 | + | 0.948890i | ||||
\(181\) | 10.8735 | 0.808222 | 0.404111 | − | 0.914710i | \(-0.367581\pi\) | ||||
0.404111 | + | 0.914710i | \(0.367581\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −15.6323 | + | 6.37208i | −1.15557 | + | 0.471038i | ||||
\(184\) | −11.0368 | − | 1.93668i | −0.813642 | − | 0.142774i | ||||
\(185\) | −14.7607 | + | 8.52212i | −1.08523 | + | 0.626559i | ||||
\(186\) | 10.5097 | − | 5.79195i | 0.770607 | − | 0.424686i | ||||
\(187\) | 1.64920 | + | 0.952164i | 0.120601 | + | 0.0696291i | ||||
\(188\) | 12.4838 | + | 13.2175i | 0.910477 | + | 0.963986i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 18.5299 | + | 7.98697i | 1.34430 | + | 0.579436i | ||||
\(191\) | −0.616561 | + | 1.06792i | −0.0446128 | + | 0.0772716i | −0.887470 | − | 0.460866i | \(-0.847539\pi\) |
0.842857 | + | 0.538138i | \(0.180872\pi\) | |||||||
\(192\) | 13.8455 | − | 0.549231i | 0.999214 | − | 0.0396373i | ||||
\(193\) | −7.89167 | − | 13.6688i | −0.568055 | − | 0.983900i | −0.996758 | − | 0.0804546i | \(-0.974363\pi\) |
0.428703 | − | 0.903445i | \(-0.358971\pi\) | |||||||
\(194\) | 15.3662 | − | 11.4463i | 1.10323 | − | 0.821795i | ||||
\(195\) | 2.20936 | + | 5.42010i | 0.158216 | + | 0.388141i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 17.3868i | 1.23876i | 0.785092 | + | 0.619379i | \(0.212615\pi\) | ||||
−0.785092 | + | 0.619379i | \(0.787385\pi\) | |||||||
\(198\) | 2.18367 | − | 13.8442i | 0.155187 | − | 0.983861i | ||||
\(199\) | −3.95565 | + | 2.28380i | −0.280409 | + | 0.161894i | −0.633608 | − | 0.773654i | \(-0.718427\pi\) |
0.353200 | + | 0.935548i | \(0.385094\pi\) | |||||||
\(200\) | −19.5857 | + | 23.3805i | −1.38491 | + | 1.65325i | ||||
\(201\) | −15.5219 | − | 2.13258i | −1.09483 | − | 0.150421i | ||||
\(202\) | −3.99654 | + | 9.27205i | −0.281196 | + | 0.652379i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.826790 | + | 1.81775i | −0.0578869 | + | 0.127268i | ||||
\(205\) | 10.6382 | − | 18.4260i | 0.743007 | − | 1.28693i | ||||
\(206\) | −14.7607 | + | 1.72940i | −1.02843 | + | 0.120493i | ||||
\(207\) | −11.4447 | − | 3.20534i | −0.795464 | − | 0.222786i | ||||
\(208\) | 2.84472 | + | 1.86652i | 0.197246 | + | 0.129420i | ||||
\(209\) | − | 11.8639i | − | 0.820646i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.11224i | 0.0765696i | 0.999267 | + | 0.0382848i | \(0.0121894\pi\) | ||||
−0.999267 | + | 0.0382848i | \(0.987811\pi\) | |||||||
\(212\) | 0.281376 | + | 1.18431i | 0.0193250 | + | 0.0813388i | ||||
\(213\) | −12.5276 | − | 9.72549i | −0.858379 | − | 0.666379i | ||||
\(214\) | −0.202931 | − | 1.73205i | −0.0138721 | − | 0.118401i | ||||
\(215\) | −15.2262 | + | 26.3726i | −1.03842 | + | 1.79859i | ||||
\(216\) | 14.6707 | + | 0.877174i | 0.998217 | + | 0.0596841i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −4.15967 | − | 1.79295i | −0.281729 | − | 0.121434i | ||||
\(219\) | 0.333408 | − | 2.42669i | 0.0225296 | − | 0.163981i | ||||
\(220\) | 25.1494 | + | 7.51416i | 1.69558 | + | 0.506605i | ||||
\(221\) | −0.424650 | + | 0.245172i | −0.0285651 | + | 0.0164920i | ||||
\(222\) | −5.43452 | + | 8.99451i | −0.364741 | + | 0.603672i | ||||
\(223\) | − | 23.6328i | − | 1.58257i | −0.611447 | − | 0.791285i | \(-0.709412\pi\) | ||
0.611447 | − | 0.791285i | \(-0.290588\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −23.1314 | + | 22.6156i | −1.54209 | + | 1.50770i | ||||
\(226\) | 16.8201 | + | 22.5804i | 1.11886 | + | 1.50202i | ||||
\(227\) | 6.14917 | + | 10.6507i | 0.408135 | + | 0.706910i | 0.994681 | − | 0.103006i | \(-0.0328461\pi\) |
−0.586546 | + | 0.809916i | \(0.699513\pi\) | |||||||
\(228\) | 12.3828 | − | 1.20146i | 0.820070 | − | 0.0795688i | ||||
\(229\) | −4.51474 | + | 7.81976i | −0.298342 | + | 0.516744i | −0.975757 | − | 0.218857i | \(-0.929767\pi\) |
0.677414 | + | 0.735602i | \(0.263100\pi\) | |||||||
\(230\) | 8.81054 | − | 20.4406i | 0.580950 | − | 1.34781i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −8.97895 | + | 3.27647i | −0.589497 | + | 0.215111i | ||||
\(233\) | 6.55912 | + | 3.78691i | 0.429703 | + | 0.248089i | 0.699220 | − | 0.714907i | \(-0.253531\pi\) |
−0.269517 | + | 0.962996i | \(0.586864\pi\) | |||||||
\(234\) | 2.80600 | + | 2.26930i | 0.183434 | + | 0.148349i | ||||
\(235\) | −31.2765 | + | 18.0575i | −2.04025 | + | 1.17794i | ||||
\(236\) | 15.3324 | − | 3.64277i | 0.998055 | − | 0.237124i | ||||
\(237\) | −4.52963 | − | 11.1123i | −0.294231 | − | 0.721819i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −9.25206 | −0.598466 | −0.299233 | − | 0.954180i | \(-0.596731\pi\) | ||||
−0.299233 | + | 0.954180i | \(0.596731\pi\) | |||||||
\(240\) | −5.29589 | + | 27.0103i | −0.341848 | + | 1.74350i | ||||
\(241\) | −7.83018 | − | 13.5623i | −0.504386 | − | 0.873623i | −0.999987 | − | 0.00507224i | \(-0.998385\pi\) |
0.495601 | − | 0.868550i | \(-0.334948\pi\) | |||||||
\(242\) | 0.0143625 | + | 0.122586i | 0.000923254 | + | 0.00788012i | ||||
\(243\) | 15.3916 | + | 2.46947i | 0.987372 | + | 0.158417i | ||||
\(244\) | −13.3844 | − | 14.1710i | −0.856850 | − | 0.907207i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.261122 | − | 13.1157i | 0.0166485 | − | 0.836223i | ||||
\(247\) | 2.64557 | + | 1.52742i | 0.168333 | + | 0.0971873i | ||||
\(248\) | 10.6220 | + | 8.89796i | 0.674496 | + | 0.565021i | ||||
\(249\) | 5.66250 | + | 4.39593i | 0.358847 | + | 0.278581i | ||||
\(250\) | −19.4108 | − | 26.0583i | −1.22765 | − | 1.64807i | ||||
\(251\) | −3.08987 | −0.195031 | −0.0975155 | − | 0.995234i | \(-0.531090\pi\) | ||||
−0.0975155 | + | 0.995234i | \(0.531090\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −13.0873 | −0.822790 | ||||||||
\(254\) | 13.8911 | + | 18.6482i | 0.871603 | + | 1.17009i | ||||
\(255\) | −3.13337 | − | 2.43251i | −0.196219 | − | 0.152330i | ||||
\(256\) | 6.36962 | + | 14.6775i | 0.398101 | + | 0.917341i | ||||
\(257\) | −6.38190 | − | 3.68459i | −0.398092 | − | 0.229839i | 0.287568 | − | 0.957760i | \(-0.407153\pi\) |
−0.685660 | + | 0.727922i | \(0.740486\pi\) | |||||||
\(258\) | −0.373736 | + | 18.7721i | −0.0232678 | + | 1.16870i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −4.91346 | + | 4.64072i | −0.304720 | + | 0.287805i | ||||
\(261\) | −9.82139 | + | 2.51330i | −0.607929 | + | 0.155569i | ||||
\(262\) | 0.374703 | + | 3.19815i | 0.0231492 | + | 0.197583i | ||||
\(263\) | −11.1017 | − | 19.2288i | −0.684563 | − | 1.18570i | −0.973574 | − | 0.228372i | \(-0.926660\pi\) |
0.289011 | − | 0.957326i | \(-0.406673\pi\) | |||||||
\(264\) | 15.8165 | − | 3.42669i | 0.973441 | − | 0.210898i | ||||
\(265\) | −2.41801 | −0.148537 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.76375 | − | 9.23337i | −0.230338 | − | 0.565073i | ||||
\(268\) | −4.18188 | − | 17.6015i | −0.255449 | − | 1.07518i | ||||
\(269\) | 8.67226 | − | 5.00693i | 0.528757 | − | 0.305278i | −0.211753 | − | 0.977323i | \(-0.567917\pi\) |
0.740510 | + | 0.672045i | \(0.234584\pi\) | |||||||
\(270\) | −8.43149 | + | 27.9501i | −0.513124 | + | 1.70099i | ||||
\(271\) | −20.4250 | − | 11.7924i | −1.24073 | − | 0.716335i | −0.271486 | − | 0.962442i | \(-0.587515\pi\) |
−0.969243 | + | 0.246107i | \(0.920848\pi\) | |||||||
\(272\) | −2.30212 | − | 0.131539i | −0.139586 | − | 0.00797574i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.15243 | − | 11.9537i | 0.311270 | − | 0.722151i | ||||
\(275\) | −17.8111 | + | 30.8497i | −1.07405 | + | 1.86031i | ||||
\(276\) | −1.32535 | − | 13.6596i | −0.0797767 | − | 0.822212i | ||||
\(277\) | −14.5299 | − | 25.1665i | −0.873018 | − | 1.51211i | −0.858860 | − | 0.512211i | \(-0.828826\pi\) |
−0.0141582 | − | 0.999900i | \(-0.504507\pi\) | |||||||
\(278\) | 9.38221 | + | 12.5953i | 0.562708 | + | 0.755413i | ||||
\(279\) | 10.2745 | + | 10.5088i | 0.615117 | + | 0.629146i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 23.2889i | − | 1.38930i | −0.719347 | − | 0.694651i | \(-0.755559\pi\) | ||
0.719347 | − | 0.694651i | \(-0.244441\pi\) | |||||||
\(282\) | −11.5152 | + | 19.0584i | −0.685719 | + | 1.13491i | ||||
\(283\) | 15.0916 | − | 8.71312i | 0.897101 | − | 0.517941i | 0.0208421 | − | 0.999783i | \(-0.493365\pi\) |
0.876258 | + | 0.481842i | \(0.160032\pi\) | |||||||
\(284\) | 5.24259 | − | 17.5466i | 0.311090 | − | 1.04120i | ||||
\(285\) | −3.36375 | + | 24.4828i | −0.199251 | + | 1.45024i | ||||
\(286\) | 3.64925 | + | 1.57294i | 0.215785 | + | 0.0930100i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 5.17829 | + | 16.1612i | 0.305134 | + | 0.952310i | ||||
\(289\) | −8.33384 | + | 14.4346i | −0.490226 | + | 0.849096i | ||||
\(290\) | −2.20936 | − | 18.8573i | −0.129738 | − | 1.10734i | ||||
\(291\) | 18.5369 | + | 14.3906i | 1.08665 | + | 0.843592i | ||||
\(292\) | 2.75183 | − | 0.653796i | 0.161038 | − | 0.0382605i | ||||
\(293\) | 1.20747i | 0.0705412i | 0.999378 | + | 0.0352706i | \(0.0112293\pi\) | ||||
−0.999378 | + | 0.0352706i | \(0.988771\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 31.3043i | 1.82261i | ||||||||
\(296\) | −11.9519 | − | 2.09727i | −0.694691 | − | 0.121901i | ||||
\(297\) | 17.0538 | − | 1.95238i | 0.989561 | − | 0.113289i | ||||
\(298\) | −9.43531 | + | 1.10546i | −0.546573 | + | 0.0640377i | ||||
\(299\) | 1.68492 | − | 2.91836i | 0.0974412 | − | 0.168773i | ||||
\(300\) | −34.0025 | − | 15.4658i | −1.96314 | − | 0.892921i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −7.39632 | + | 17.1596i | −0.425610 | + | 0.987423i | ||||
\(303\) | −12.2508 | − | 1.68316i | −0.703789 | − | 0.0966950i | ||||
\(304\) | 6.46138 | + | 12.8304i | 0.370586 | + | 0.735875i | ||||
\(305\) | 33.5328 | − | 19.3602i | 1.92008 | − | 1.10856i | ||||
\(306\) | −2.41588 | − | 0.381063i | −0.138106 | − | 0.0217839i | ||||
\(307\) | 34.0275i | 1.94205i | 0.238973 | + | 0.971026i | \(0.423189\pi\) | ||||
−0.238973 | + | 0.971026i | \(0.576811\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −6.87062 | − | 16.8553i | −0.390856 | − | 0.958863i | ||||
\(310\) | −22.0735 | + | 16.4426i | −1.25369 | + | 0.933877i | ||||
\(311\) | −13.3558 | − | 23.1329i | −0.757337 | − | 1.31175i | −0.944204 | − | 0.329361i | \(-0.893167\pi\) |
0.186867 | − | 0.982385i | \(-0.440167\pi\) | |||||||
\(312\) | −1.27217 | + | 3.96814i | −0.0720225 | + | 0.224651i | ||||
\(313\) | −4.66276 | + | 8.07614i | −0.263555 | + | 0.456490i | −0.967184 | − | 0.254077i | \(-0.918228\pi\) |
0.703629 | + | 0.710567i | \(0.251562\pi\) | |||||||
\(314\) | −3.10162 | − | 1.33690i | −0.175035 | − | 0.0754455i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 10.0735 | − | 9.51439i | 0.566681 | − | 0.535226i | ||||
\(317\) | 23.3767 | + | 13.4966i | 1.31297 | + | 0.758043i | 0.982587 | − | 0.185805i | \(-0.0594891\pi\) |
0.330382 | + | 0.943847i | \(0.392822\pi\) | |||||||
\(318\) | −1.30570 | + | 0.719579i | −0.0732200 | + | 0.0403520i | ||||
\(319\) | −9.66769 | + | 5.58164i | −0.541286 | + | 0.312512i | ||||
\(320\) | −31.2906 | + | 5.57069i | −1.74920 | + | 0.311411i | ||||
\(321\) | 1.97783 | − | 0.806210i | 0.110392 | − | 0.0449982i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −2.07032 | −0.115196 | ||||||||
\(324\) | 3.76480 | + | 17.6019i | 0.209156 | + | 0.977882i | ||||
\(325\) | −4.58616 | − | 7.94346i | −0.254394 | − | 0.440624i | ||||
\(326\) | 25.6928 | − | 3.01023i | 1.42299 | − | 0.166721i | ||||
\(327\) | 0.755108 | − | 5.49601i | 0.0417575 | − | 0.303930i | ||||
\(328\) | 14.2299 | − | 5.19256i | 0.785712 | − | 0.286711i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −0.639895 | + | 32.1407i | −0.0352251 | + | 1.76929i | ||||
\(331\) | 12.6382 | + | 7.29669i | 0.694660 | + | 0.401062i | 0.805356 | − | 0.592792i | \(-0.201974\pi\) |
−0.110695 | + | 0.993854i | \(0.535308\pi\) | |||||||
\(332\) | −2.36966 | + | 7.93109i | −0.130052 | + | 0.435275i | ||||
\(333\) | −12.3937 | − | 3.47112i | −0.679171 | − | 0.190216i | ||||
\(334\) | 21.9626 | − | 16.3600i | 1.20174 | − | 0.895177i | ||||
\(335\) | 35.9372 | 1.96346 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 31.6823 | 1.72585 | 0.862924 | − | 0.505335i | \(-0.168631\pi\) | ||||
0.862924 | + | 0.505335i | \(0.168631\pi\) | |||||||
\(338\) | 13.9233 | − | 10.3714i | 0.757325 | − | 0.564132i | ||||
\(339\) | −21.1468 | + | 27.2396i | −1.14853 | + | 1.47945i | ||||
\(340\) | 1.31126 | − | 4.38871i | 0.0711131 | − | 0.238011i | ||||
\(341\) | 14.0153 | + | 8.09175i | 0.758972 | + | 0.438193i | ||||
\(342\) | 5.46949 | + | 14.2215i | 0.295756 | + | 0.769009i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −20.3668 | + | 7.43196i | −1.09810 | + | 0.400704i | ||||
\(345\) | 27.0073 | + | 3.71059i | 1.45403 | + | 0.199772i | ||||
\(346\) | 7.84507 | − | 0.919147i | 0.421753 | − | 0.0494136i | ||||
\(347\) | −1.07687 | − | 1.86519i | −0.0578092 | − | 0.100128i | 0.835673 | − | 0.549228i | \(-0.185078\pi\) |
−0.893482 | + | 0.449100i | \(0.851745\pi\) | |||||||
\(348\) | −6.80479 | − | 9.52523i | −0.364775 | − | 0.510606i | ||||
\(349\) | 33.0517 | 1.76922 | 0.884608 | − | 0.466335i | \(-0.154426\pi\) | ||||
0.884608 | + | 0.466335i | \(0.154426\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.76022 | + | 4.05422i | −0.0939535 | + | 0.216398i | ||||
\(352\) | 10.2902 | + | 15.5987i | 0.548470 | + | 0.831413i | ||||
\(353\) | 13.5161 | − | 7.80351i | 0.719388 | − | 0.415339i | −0.0951392 | − | 0.995464i | \(-0.530330\pi\) |
0.814528 | + | 0.580125i | \(0.196996\pi\) | |||||||
\(354\) | 9.31588 | + | 16.9040i | 0.495133 | + | 0.898435i | ||||
\(355\) | 31.5037 | + | 18.1887i | 1.67204 | + | 0.965354i | ||||
\(356\) | 8.37028 | − | 7.90567i | 0.443624 | − | 0.419000i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −25.1681 | − | 10.8483i | −1.33018 | − | 0.573348i | ||||
\(359\) | 16.8237 | − | 29.1394i | 0.887919 | − | 1.53792i | 0.0455885 | − | 0.998960i | \(-0.485484\pi\) |
0.842331 | − | 0.538961i | \(-0.181183\pi\) | |||||||
\(360\) | −33.6111 | + | 2.58701i | −1.77146 | + | 0.136348i | ||||
\(361\) | −3.05096 | − | 5.28443i | −0.160577 | − | 0.278128i | ||||
\(362\) | −12.3321 | + | 9.18619i | −0.648161 | + | 0.482815i | ||||
\(363\) | −0.139981 | + | 0.0570595i | −0.00734708 | + | 0.00299485i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 5.61842i | 0.294082i | ||||||||
\(366\) | 12.3459 | − | 20.4333i | 0.645331 | − | 1.06807i | ||||
\(367\) | 6.79444 | − | 3.92277i | 0.354667 | − | 0.204767i | −0.312072 | − | 0.950059i | \(-0.601023\pi\) |
0.666739 | + | 0.745291i | \(0.267690\pi\) | |||||||
\(368\) | 14.1534 | − | 7.12764i | 0.737797 | − | 0.371554i | ||||
\(369\) | 15.5650 | − | 3.98308i | 0.810279 | − | 0.207351i | ||||
\(370\) | 9.54109 | − | 22.1355i | 0.496018 | − | 1.15077i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −7.02629 | + | 15.4477i | −0.364296 | + | 0.800926i | ||||
\(373\) | −0.493136 | + | 0.854137i | −0.0255336 | + | 0.0442256i | −0.878510 | − | 0.477724i | \(-0.841462\pi\) |
0.852976 | + | 0.521950i | \(0.174795\pi\) | |||||||
\(374\) | −2.67483 | + | 0.313389i | −0.138312 | + | 0.0162050i | ||||
\(375\) | 24.4038 | − | 31.4352i | 1.26021 | − | 1.62331i | ||||
\(376\) | −25.3249 | − | 4.44389i | −1.30603 | − | 0.229176i | ||||
\(377\) | − | 2.87443i | − | 0.148040i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 18.8285i | − | 0.967153i | −0.875302 | − | 0.483576i | \(-0.839337\pi\) | ||
0.875302 | − | 0.483576i | \(-0.160663\pi\) | |||||||
\(380\) | −27.7631 | + | 6.59612i | −1.42422 | + | 0.338374i | ||||
\(381\) | −17.4643 | + | 22.4961i | −0.894721 | + | 1.15251i | ||||
\(382\) | −0.202931 | − | 1.73205i | −0.0103829 | − | 0.0886194i | ||||
\(383\) | −1.81144 | + | 3.13750i | −0.0925602 | + | 0.160319i | −0.908588 | − | 0.417694i | \(-0.862838\pi\) |
0.816028 | + | 0.578013i | \(0.196172\pi\) | |||||||
\(384\) | −15.2388 | + | 12.3199i | −0.777650 | + | 0.628697i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 20.4979 | + | 8.83526i | 1.04332 | + | 0.449703i | ||||
\(387\) | −22.2777 | + | 5.70087i | −1.13244 | + | 0.289792i | ||||
\(388\) | −7.75735 | + | 25.9634i | −0.393820 | + | 1.31809i | ||||
\(389\) | −12.6579 | + | 7.30807i | −0.641783 | + | 0.370534i | −0.785301 | − | 0.619114i | \(-0.787492\pi\) |
0.143518 | + | 0.989648i | \(0.454159\pi\) | |||||||
\(390\) | −7.08475 | − | 4.28064i | −0.358750 | − | 0.216759i | ||||
\(391\) | 2.28380i | 0.115497i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.65197 | + | 1.48863i | −0.184217 | + | 0.0750914i | ||||
\(394\) | −14.6887 | − | 19.7191i | −0.740008 | − | 0.993432i | ||||
\(395\) | 13.7623 | + | 23.8370i | 0.692455 | + | 1.19937i | ||||
\(396\) | 9.21925 | + | 17.5460i | 0.463285 | + | 0.881722i | ||||
\(397\) | 3.04852 | − | 5.28019i | 0.153001 | − | 0.265005i | −0.779328 | − | 0.626616i | \(-0.784440\pi\) |
0.932329 | + | 0.361610i | \(0.117773\pi\) | |||||||
\(398\) | 2.55687 | − | 5.93197i | 0.128164 | − | 0.297343i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.46056 | − | 43.0631i | 0.123028 | − | 2.15316i | ||||
\(401\) | −6.31340 | − | 3.64505i | −0.315276 | − | 0.182025i | 0.334009 | − | 0.942570i | \(-0.391598\pi\) |
−0.649285 | + | 0.760545i | \(0.724932\pi\) | |||||||
\(402\) | 19.4056 | − | 10.6946i | 0.967865 | − | 0.533397i | ||||
\(403\) | −3.60879 | + | 2.08354i | −0.179767 | + | 0.103788i | ||||
\(404\) | −3.30059 | − | 13.8922i | −0.164210 | − | 0.691162i | ||||
\(405\) | −35.7463 | − | 0.806210i | −1.77625 | − | 0.0400609i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −14.1724 | −0.702502 | ||||||||
\(408\) | −0.597975 | − | 2.76007i | −0.0296042 | − | 0.136644i | ||||
\(409\) | 10.0950 | + | 17.4850i | 0.499165 | + | 0.864580i | 1.00000 | 0.000963491i | \(-0.000306689\pi\) | |
−0.500834 | + | 0.865543i | \(0.666973\pi\) | |||||||
\(410\) | 3.50140 | + | 29.8851i | 0.172922 | + | 1.47592i | ||||
\(411\) | 15.7940 | + | 2.16997i | 0.779060 | + | 0.107037i | ||||
\(412\) | 15.2797 | − | 14.4316i | 0.752778 | − | 0.710993i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 15.6879 | − | 6.03347i | 0.771018 | − | 0.296529i | ||||
\(415\) | −14.2397 | − | 8.22130i | −0.699000 | − | 0.403568i | ||||
\(416\) | −4.80319 | + | 0.286389i | −0.235496 | + | 0.0140414i | ||||
\(417\) | −11.7956 | + | 15.1942i | −0.577633 | + | 0.744063i | ||||
\(418\) | 10.0229 | + | 13.4554i | 0.490237 | + | 0.658124i | ||||
\(419\) | −1.32886 | −0.0649189 | −0.0324594 | − | 0.999473i | \(-0.510334\pi\) | ||||
−0.0324594 | + | 0.999473i | \(0.510334\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.31859 | −0.356686 | −0.178343 | − | 0.983968i | \(-0.557074\pi\) | ||||
−0.178343 | + | 0.983968i | \(0.557074\pi\) | |||||||
\(422\) | −0.939643 | − | 1.26143i | −0.0457411 | − | 0.0614057i | ||||
\(423\) | −26.2610 | − | 7.35493i | −1.27685 | − | 0.357609i | ||||
\(424\) | −1.31965 | − | 1.10546i | −0.0640879 | − | 0.0536860i | ||||
\(425\) | 5.38343 | + | 3.10812i | 0.261135 | + | 0.150766i | ||||
\(426\) | 22.4244 | + | 0.446451i | 1.08647 | + | 0.0216306i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 1.69343 | + | 1.79295i | 0.0818549 | + | 0.0866655i | ||||
\(429\) | −0.662451 | + | 4.82161i | −0.0319834 | + | 0.232790i | ||||
\(430\) | −5.01146 | − | 42.7736i | −0.241674 | − | 2.06273i | ||||
\(431\) | 0.0894647 | + | 0.154957i | 0.00430936 | + | 0.00746403i | 0.868172 | − | 0.496263i | \(-0.165295\pi\) |
−0.863863 | + | 0.503727i | \(0.831962\pi\) | |||||||
\(432\) | −17.3797 | + | 11.3993i | −0.836183 | + | 0.548450i | ||||
\(433\) | 15.2499 | 0.732866 | 0.366433 | − | 0.930444i | \(-0.380579\pi\) | ||||
0.366433 | + | 0.930444i | \(0.380579\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 21.5331 | − | 8.77742i | 1.03243 | − | 0.420845i | ||||
\(436\) | 6.23238 | − | 1.48073i | 0.298477 | − | 0.0709139i | ||||
\(437\) | 12.3218 | − | 7.11402i | 0.589434 | − | 0.340310i | ||||
\(438\) | 1.67199 | + | 3.03388i | 0.0798909 | + | 0.144965i | ||||
\(439\) | −25.8988 | − | 14.9527i | −1.23608 | − | 0.713654i | −0.267793 | − | 0.963476i | \(-0.586294\pi\) |
−0.968292 | + | 0.249823i | \(0.919628\pi\) | |||||||
\(440\) | −34.8711 | + | 12.7247i | −1.66242 | + | 0.606626i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.274487 | − | 0.636813i | 0.0130560 | − | 0.0302901i | ||||
\(443\) | 2.50795 | − | 4.34390i | 0.119156 | − | 0.206385i | −0.800277 | − | 0.599630i | \(-0.795314\pi\) |
0.919434 | + | 0.393245i | \(0.128648\pi\) | |||||||
\(444\) | −1.43524 | − | 14.7922i | −0.0681137 | − | 0.702009i | ||||
\(445\) | 11.4353 | + | 19.8065i | 0.542086 | + | 0.938920i | ||||
\(446\) | 19.9655 | + | 26.8029i | 0.945395 | + | 1.26916i | ||||
\(447\) | −4.39181 | − | 10.7742i | −0.207725 | − | 0.509601i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 14.4978i | 0.684195i | 0.939664 | + | 0.342098i | \(0.111137\pi\) | ||||
−0.939664 | + | 0.342098i | \(0.888863\pi\) | |||||||
\(450\) | 7.12811 | − | 45.1911i | 0.336023 | − | 2.13033i | ||||
\(451\) | 15.3214 | − | 8.84580i | 0.721455 | − | 0.416532i | ||||
\(452\) | −38.1528 | − | 11.3993i | −1.79456 | − | 0.536178i | ||||
\(453\) | −22.6723 | − | 3.11499i | −1.06524 | − | 0.146355i | ||||
\(454\) | −15.9719 | − | 6.88441i | −0.749600 | − | 0.323101i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −13.0288 | + | 11.8239i | −0.610129 | + | 0.553704i | ||||
\(457\) | 9.92844 | − | 17.1966i | 0.464433 | − | 0.804422i | −0.534743 | − | 0.845015i | \(-0.679591\pi\) |
0.999176 | + | 0.0405933i | \(0.0129248\pi\) | |||||||
\(458\) | −1.48595 | − | 12.6829i | −0.0694341 | − | 0.592631i | ||||
\(459\) | −0.340700 | − | 2.97598i | −0.0159025 | − | 0.138907i | ||||
\(460\) | 7.27627 | + | 30.6259i | 0.339258 | + | 1.42794i | ||||
\(461\) | − | 17.3910i | − | 0.809978i | −0.914322 | − | 0.404989i | \(-0.867275\pi\) | ||
0.914322 | − | 0.404989i | \(-0.132725\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 15.3304i | − | 0.712462i | −0.934398 | − | 0.356231i | \(-0.884062\pi\) | ||
0.934398 | − | 0.356231i | \(-0.115938\pi\) | |||||||
\(464\) | 7.41536 | − | 11.3016i | 0.344249 | − | 0.524663i | ||||
\(465\) | −26.6283 | − | 20.6721i | −1.23486 | − | 0.958647i | ||||
\(466\) | −10.6382 | + | 1.24640i | −0.492807 | + | 0.0577384i | ||||
\(467\) | 10.5410 | − | 18.2575i | 0.487778 | − | 0.844857i | −0.512123 | − | 0.858912i | \(-0.671141\pi\) |
0.999901 | + | 0.0140554i | \(0.00447412\pi\) | |||||||
\(468\) | −5.09956 | − | 0.203137i | −0.235727 | − | 0.00938999i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 20.2166 | − | 46.9028i | 0.932521 | − | 2.16346i | ||||
\(471\) | 0.563040 | − | 4.09805i | 0.0259435 | − | 0.188828i | ||||
\(472\) | −14.3116 | + | 17.0846i | −0.658746 | + | 0.786381i | ||||
\(473\) | −21.9290 | + | 12.6607i | −1.00830 | + | 0.582141i | ||||
\(474\) | 14.5251 | + | 8.77615i | 0.667161 | + | 0.403102i | ||||
\(475\) | − | 38.7272i | − | 1.77692i | ||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.27648 | − | 1.30559i | −0.0584459 | − | 0.0597790i | ||||
\(478\) | 10.4931 | − | 7.81634i | 0.479945 | − | 0.357511i | ||||
\(479\) | 3.79982 | + | 6.58149i | 0.173618 | + | 0.300716i | 0.939682 | − | 0.342049i | \(-0.111121\pi\) |
−0.766064 | + | 0.642764i | \(0.777787\pi\) | |||||||
\(480\) | −16.8126 | − | 35.1075i | −0.767386 | − | 1.60243i | ||||
\(481\) | 1.82463 | − | 3.16034i | 0.0831958 | − | 0.144099i | ||||
\(482\) | 20.3382 | + | 8.76642i | 0.926381 | + | 0.399299i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.119852 | − | 0.126896i | −0.00544784 | − | 0.00576800i | ||||
\(485\) | −46.6154 | − | 26.9134i | −2.11670 | − | 1.22207i | ||||
\(486\) | −19.5425 | + | 10.2024i | −0.886467 | + | 0.462792i | ||||
\(487\) | 13.3691 | − | 7.71865i | 0.605811 | − | 0.349765i | −0.165513 | − | 0.986208i | \(-0.552928\pi\) |
0.771324 | + | 0.636442i | \(0.219595\pi\) | |||||||
\(488\) | 27.1518 | + | 4.76448i | 1.22911 | + | 0.215678i | ||||
\(489\) | 11.9591 | + | 29.3386i | 0.540809 | + | 1.32674i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 40.5166 | 1.82849 | 0.914243 | − | 0.405165i | \(-0.132786\pi\) | ||||
0.914243 | + | 0.405165i | \(0.132786\pi\) | |||||||
\(492\) | 10.7842 | + | 15.0956i | 0.486191 | + | 0.680562i | ||||
\(493\) | 0.974025 | + | 1.68706i | 0.0438679 | + | 0.0759814i | ||||
\(494\) | −4.29084 | + | 0.502725i | −0.193054 | + | 0.0226187i | ||||
\(495\) | −38.1429 | + | 9.76079i | −1.71440 | + | 0.438715i | ||||
\(496\) | −19.5640 | − | 1.11786i | −0.878450 | − | 0.0501932i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −10.1359 | − | 0.201796i | −0.454199 | − | 0.00904272i | ||||
\(499\) | 26.2986 | + | 15.1835i | 1.17729 | + | 0.679707i | 0.955385 | − | 0.295362i | \(-0.0954403\pi\) |
0.221902 | + | 0.975069i | \(0.428774\pi\) | |||||||
\(500\) | 44.0292 | + | 13.1551i | 1.96904 | + | 0.588312i | ||||
\(501\) | 26.4944 | + | 20.5682i | 1.18368 | + | 0.918921i | ||||
\(502\) | 3.50435 | − | 2.61039i | 0.156407 | − | 0.116507i | ||||
\(503\) | −13.8974 | −0.619652 | −0.309826 | − | 0.950793i | \(-0.600271\pi\) | ||||
−0.309826 | + | 0.950793i | \(0.600271\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 28.3638 | 1.26217 | ||||||||
\(506\) | 14.8428 | − | 11.0564i | 0.659844 | − | 0.491518i | ||||
\(507\) | 16.7962 | + | 13.0393i | 0.745946 | + | 0.579095i | ||||
\(508\) | −31.5089 | − | 9.41423i | −1.39798 | − | 0.417689i | ||||
\(509\) | −25.6830 | − | 14.8281i | −1.13838 | − | 0.657243i | −0.192350 | − | 0.981326i | \(-0.561611\pi\) |
−0.946029 | + | 0.324083i | \(0.894944\pi\) | |||||||
\(510\) | 5.60872 | + | 0.111665i | 0.248358 | + | 0.00494461i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −19.6239 | − | 11.2651i | −0.867262 | − | 0.497853i | ||||
\(513\) | −14.9951 | + | 11.1083i | −0.662049 | + | 0.490445i | ||||
\(514\) | 10.3508 | − | 1.21272i | 0.456554 | − | 0.0534909i | ||||
\(515\) | 20.8748 | + | 36.1563i | 0.919855 | + | 1.59324i | ||||
\(516\) | −15.4352 | − | 21.6059i | −0.679496 | − | 0.951147i | ||||
\(517\) | −30.0299 | −1.32071 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 3.65161 | + | 8.95827i | 0.160288 | + | 0.393225i | ||||
\(520\) | 1.65197 | − | 9.41423i | 0.0724435 | − | 0.412841i | ||||
\(521\) | −29.0727 | + | 16.7851i | −1.27370 | + | 0.735369i | −0.975682 | − | 0.219192i | \(-0.929658\pi\) |
−0.298015 | + | 0.954561i | \(0.596325\pi\) | |||||||
\(522\) | 9.01555 | − | 11.1478i | 0.394600 | − | 0.487924i | ||||
\(523\) | 8.82946 | + | 5.09769i | 0.386085 | + | 0.222906i | 0.680463 | − | 0.732783i | \(-0.261779\pi\) |
−0.294377 | + | 0.955689i | \(0.595112\pi\) | |||||||
\(524\) | −3.12684 | − | 3.31060i | −0.136596 | − | 0.144624i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 28.8358 | + | 12.4291i | 1.25730 | + | 0.541937i | ||||
\(527\) | 1.41205 | − | 2.44575i | 0.0615099 | − | 0.106538i | ||||
\(528\) | −15.0433 | + | 17.2485i | −0.654674 | + | 0.750645i | ||||
\(529\) | 3.65243 | + | 6.32620i | 0.158801 | + | 0.275052i | ||||
\(530\) | 2.74237 | − | 2.04279i | 0.119121 | − | 0.0887332i | ||||
\(531\) | −16.9026 | + | 16.5256i | −0.733509 | + | 0.717152i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.55539i | 0.197316i | ||||||||
\(534\) | 12.0692 | + | 7.29225i | 0.522284 | + | 0.315567i | ||||
\(535\) | −4.24264 | + | 2.44949i | −0.183425 | + | 0.105901i | ||||
\(536\) | 19.6130 | + | 16.4297i | 0.847152 | + | 0.709654i | ||||
\(537\) | 4.56879 | − | 33.2537i | 0.197158 | − | 1.43500i | ||||
\(538\) | −5.60560 | + | 13.0051i | −0.241675 | + | 0.560689i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −14.0504 | − | 38.8225i | −0.604633 | − | 1.67065i | ||||
\(541\) | −5.15243 | + | 8.92427i | −0.221520 | + | 0.383684i | −0.955270 | − | 0.295736i | \(-0.904435\pi\) |
0.733750 | + | 0.679420i | \(0.237769\pi\) | |||||||
\(542\) | 33.1272 | − | 3.88127i | 1.42294 | − | 0.166715i | ||||
\(543\) | −14.8767 | − | 11.5492i | −0.638422 | − | 0.495622i | ||||
\(544\) | 2.72205 | − | 1.79569i | 0.116707 | − | 0.0769898i | ||||
\(545\) | 12.7247i | 0.545066i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.44070i | 0.232628i | 0.993213 | + | 0.116314i | \(0.0371078\pi\) | ||||
−0.993213 | + | 0.116314i | \(0.962892\pi\) | |||||||
\(548\) | 4.25519 | + | 17.9101i | 0.181773 | + | 0.765081i | ||||
\(549\) | 28.1555 | + | 7.88552i | 1.20165 | + | 0.336546i | ||||
\(550\) | −5.86223 | − | 50.0351i | −0.249966 | − | 2.13350i | ||||
\(551\) | 6.06817 | − | 10.5104i | 0.258513 | − | 0.447757i | ||||
\(552\) | 13.0431 | + | 14.3722i | 0.555150 | + | 0.611723i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 37.7402 | + | 16.2672i | 1.60343 | + | 0.691128i | ||||
\(555\) | 29.2467 | + | 4.01827i | 1.24145 | + | 0.170566i | ||||
\(556\) | −21.2815 | − | 6.35850i | −0.902537 | − | 0.269660i | ||||
\(557\) | 3.84264 | − | 2.21855i | 0.162818 | − | 0.0940030i | −0.416377 | − | 0.909192i | \(-0.636700\pi\) |
0.579195 | + | 0.815189i | \(0.303367\pi\) | |||||||
\(558\) | −20.5308 | − | 3.23837i | −0.869137 | − | 0.137091i | ||||
\(559\) | − | 6.52001i | − | 0.275767i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.24504 | − | 3.05438i | −0.0525657 | − | 0.128956i | ||||
\(562\) | 19.6750 | + | 26.4129i | 0.829940 | + | 1.11416i | ||||
\(563\) | −19.5639 | − | 33.8857i | −0.824522 | − | 1.42811i | −0.902284 | − | 0.431141i | \(-0.858111\pi\) |
0.0777627 | − | 0.996972i | \(-0.475222\pi\) | |||||||
\(564\) | −3.04113 | − | 31.3432i | −0.128055 | − | 1.31979i | ||||
\(565\) | 39.5488 | − | 68.5005i | 1.66383 | − | 2.88184i | ||||
\(566\) | −9.75493 | + | 22.6316i | −0.410030 | + | 0.951277i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 8.87794 | + | 24.3294i | 0.372510 | + | 1.02084i | ||||
\(569\) | −38.4653 | − | 22.2079i | −1.61255 | − | 0.931005i | −0.988777 | − | 0.149398i | \(-0.952266\pi\) |
−0.623771 | − | 0.781607i | \(-0.714400\pi\) | |||||||
\(570\) | −16.8687 | − | 30.6088i | −0.706551 | − | 1.28206i | ||||
\(571\) | 2.15883 | − | 1.24640i | 0.0903442 | − | 0.0521603i | −0.454147 | − | 0.890927i | \(-0.650056\pi\) |
0.544491 | + | 0.838766i | \(0.316723\pi\) | |||||||
\(572\) | −5.46762 | + | 1.29903i | −0.228613 | + | 0.0543152i | ||||
\(573\) | 1.97783 | − | 0.806210i | 0.0826249 | − | 0.0336799i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −42.7205 | −1.78157 | ||||||||
\(576\) | −19.5263 | − | 13.9544i | −0.813595 | − | 0.581432i | ||||
\(577\) | 18.2933 | + | 31.6849i | 0.761560 | + | 1.31906i | 0.942046 | + | 0.335482i | \(0.108899\pi\) |
−0.180487 | + | 0.983577i | \(0.557767\pi\) | |||||||
\(578\) | −2.74295 | − | 23.4115i | −0.114092 | − | 0.973791i | ||||
\(579\) | −3.72100 | + | 27.0831i | −0.154640 | + | 1.12554i | ||||
\(580\) | 18.4368 | + | 19.5203i | 0.765546 | + | 0.810536i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −33.1809 | − | 0.660605i | −1.37539 | − | 0.0273830i | ||||
\(583\) | −1.74123 | − | 1.00530i | −0.0721145 | − | 0.0416353i | ||||
\(584\) | −2.56862 | + | 3.06630i | −0.106290 | + | 0.126884i | ||||
\(585\) | 2.73411 | − | 9.76222i | 0.113042 | − | 0.403618i | ||||
\(586\) | −1.02010 | − | 1.36944i | −0.0421398 | − | 0.0565711i | ||||
\(587\) | −36.8412 | −1.52060 | −0.760299 | − | 0.649573i | \(-0.774948\pi\) | ||||
−0.760299 | + | 0.649573i | \(0.774948\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −17.5941 | −0.724954 | ||||||||
\(590\) | −26.4466 | − | 35.5035i | −1.08879 | − | 1.46166i | ||||
\(591\) | 18.4671 | − | 23.7879i | 0.759636 | − | 0.978505i | ||||
\(592\) | 15.3270 | − | 7.71865i | 0.629935 | − | 0.317234i | ||||
\(593\) | 14.9125 | + | 8.60972i | 0.612382 | + | 0.353559i | 0.773897 | − | 0.633311i | \(-0.218305\pi\) |
−0.161515 | + | 0.986870i | \(0.551638\pi\) | |||||||
\(594\) | −17.6920 | + | 16.6217i | −0.725911 | + | 0.681996i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 9.76705 | − | 9.22491i | 0.400074 | − | 0.377867i | ||||
\(597\) | 7.83768 | + | 1.07683i | 0.320775 | + | 0.0440719i | ||||
\(598\) | 0.554563 | + | 4.73329i | 0.0226778 | + | 0.193558i | ||||
\(599\) | −9.51076 | − | 16.4731i | −0.388599 | − | 0.673073i | 0.603662 | − | 0.797240i | \(-0.293708\pi\) |
−0.992261 | + | 0.124167i | \(0.960374\pi\) | |||||||
\(600\) | 51.6296 | − | 11.1857i | 2.10777 | − | 0.456652i | ||||
\(601\) | −7.95144 | −0.324346 | −0.162173 | − | 0.986762i | \(-0.551850\pi\) | ||||
−0.162173 | + | 0.986762i | \(0.551850\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 18.9713 | + | 19.4040i | 0.772573 | + | 0.790194i | ||||
\(604\) | −6.10833 | − | 25.7100i | −0.248544 | − | 1.04612i | ||||
\(605\) | 0.300273 | − | 0.173363i | 0.0122078 | − | 0.00704820i | ||||
\(606\) | 15.3161 | − | 8.44080i | 0.622174 | − | 0.342884i | ||||
\(607\) | −20.5976 | − | 11.8920i | −0.836030 | − | 0.482682i | 0.0198827 | − | 0.999802i | \(-0.493671\pi\) |
−0.855913 | + | 0.517120i | \(0.827004\pi\) | |||||||
\(608\) | −18.1675 | − | 9.09279i | −0.736791 | − | 0.368761i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −21.6750 | + | 50.2864i | −0.877596 | + | 2.03604i | ||||
\(611\) | 3.86619 | − | 6.69644i | 0.156409 | − | 0.270909i | ||||
\(612\) | 3.06187 | − | 1.60881i | 0.123769 | − | 0.0650322i | ||||
\(613\) | 14.8779 | + | 25.7694i | 0.600914 | + | 1.04081i | 0.992683 | + | 0.120751i | \(0.0385301\pi\) |
−0.391768 | + | 0.920064i | \(0.628137\pi\) | |||||||
\(614\) | −28.7472 | − | 38.5920i | −1.16014 | − | 1.55745i | ||||
\(615\) | −34.1257 | + | 13.9105i | −1.37608 | + | 0.560924i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 28.7008i | 1.15545i | 0.816232 | + | 0.577724i | \(0.196059\pi\) | ||||
−0.816232 | + | 0.577724i | \(0.803941\pi\) | |||||||
\(618\) | 22.0320 | + | 13.3118i | 0.886255 | + | 0.535479i | ||||
\(619\) | −19.9082 | + | 11.4940i | −0.800177 | + | 0.461983i | −0.843533 | − | 0.537077i | \(-0.819528\pi\) |
0.0433558 | + | 0.999060i | \(0.486195\pi\) | |||||||
\(620\) | 11.1434 | − | 37.2964i | 0.447532 | − | 1.49786i | ||||
\(621\) | 12.2538 | + | 16.5413i | 0.491726 | + | 0.663779i | ||||
\(622\) | 34.6905 | + | 14.9527i | 1.39096 | + | 0.599549i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1.90955 | − | 5.57518i | −0.0764431 | − | 0.223186i | ||||
\(625\) | −18.6819 | + | 32.3580i | −0.747275 | + | 1.29432i | ||||
\(626\) | −1.53467 | − | 13.0987i | −0.0613378 | − | 0.523529i | ||||
\(627\) | −12.6011 | + | 16.2318i | −0.503240 | + | 0.648236i | ||||
\(628\) | 4.64712 | − | 1.10409i | 0.185440 | − | 0.0440580i | ||||
\(629\) | 2.47316i | 0.0986115i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 15.3304i | − | 0.610292i | −0.952306 | − | 0.305146i | \(-0.901295\pi\) | ||
0.952306 | − | 0.305146i | \(-0.0987052\pi\) | |||||||
\(632\) | −3.38685 | + | 19.3010i | −0.134722 | + | 0.767753i | ||||
\(633\) | 1.18135 | − | 1.52172i | 0.0469543 | − | 0.0604830i | ||||
\(634\) | −37.9147 | + | 4.44218i | −1.50579 | + | 0.176421i | ||||
\(635\) | 32.6618 | − | 56.5719i | 1.29614 | − | 2.24499i | ||||
\(636\) | 0.872931 | − | 1.91919i | 0.0346140 | − | 0.0761008i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 6.24902 | − | 14.4978i | 0.247401 | − | 0.573975i | ||||
\(639\) | 6.81005 | + | 26.6121i | 0.269401 | + | 1.05276i | ||||
\(640\) | 30.7817 | − | 32.7529i | 1.21675 | − | 1.29467i | ||||
\(641\) | 11.6038 | − | 6.69943i | 0.458321 | − | 0.264612i | −0.253017 | − | 0.967462i | \(-0.581423\pi\) |
0.711338 | + | 0.702850i | \(0.248090\pi\) | |||||||
\(642\) | −1.56203 | + | 2.58527i | −0.0616484 | + | 0.102032i | ||||
\(643\) | 2.68122i | 0.105737i | 0.998601 | + | 0.0528684i | \(0.0168364\pi\) | ||||
−0.998601 | + | 0.0528684i | \(0.983164\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 48.8432 | − | 19.9097i | 1.92320 | − | 0.783942i | ||||
\(646\) | 2.34803 | − | 1.74905i | 0.0923822 | − | 0.0688155i | ||||
\(647\) | 9.86799 | + | 17.0919i | 0.387951 | + | 0.671950i | 0.992174 | − | 0.124865i | \(-0.0398497\pi\) |
−0.604223 | + | 0.796815i | \(0.706516\pi\) | |||||||
\(648\) | −19.1403 | − | 16.7824i | −0.751901 | − | 0.659276i | ||||
\(649\) | −13.0149 | + | 22.5425i | −0.510880 | + | 0.884870i | ||||
\(650\) | 11.9122 | + | 5.13452i | 0.467233 | + | 0.201392i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −26.5961 | + | 25.1198i | −1.04158 | + | 0.983769i | ||||
\(653\) | 30.5038 | + | 17.6114i | 1.19371 | + | 0.689186i | 0.959145 | − | 0.282915i | \(-0.0913015\pi\) |
0.234561 | + | 0.972101i | \(0.424635\pi\) | |||||||
\(654\) | 3.78675 | + | 6.87118i | 0.148074 | + | 0.268684i | ||||
\(655\) | 7.83384 | − | 4.52287i | 0.306094 | − | 0.176723i | ||||
\(656\) | −11.7519 | + | 17.9108i | −0.458833 | + | 0.699299i | ||||
\(657\) | −3.03363 | + | 2.96599i | −0.118353 | + | 0.115714i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −39.7628 | −1.54894 | −0.774469 | − | 0.632612i | \(-0.781983\pi\) | ||||
−0.774469 | + | 0.632612i | \(0.781983\pi\) | |||||||
\(660\) | −26.4275 | − | 36.9927i | −1.02869 | − | 1.43994i | ||||
\(661\) | −7.46659 | − | 12.9325i | −0.290417 | − | 0.503017i | 0.683492 | − | 0.729958i | \(-0.260461\pi\) |
−0.973908 | + | 0.226942i | \(0.927127\pi\) | |||||||
\(662\) | −20.4979 | + | 2.40159i | −0.796675 | + | 0.0933404i | ||||
\(663\) | 0.841396 | + | 0.115601i | 0.0326771 | + | 0.00448957i | ||||
\(664\) | −4.01284 | − | 10.9969i | −0.155728 | − | 0.426763i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 16.9887 | − | 6.53375i | 0.658298 | − | 0.253178i | ||||
\(667\) | −11.5941 | − | 6.69388i | −0.448927 | − | 0.259188i | ||||
\(668\) | −11.0874 | + | 37.1090i | −0.428986 | + | 1.43579i | ||||
\(669\) | −25.1012 | + | 32.3335i | −0.970470 | + | 1.25009i | ||||
\(670\) | −40.7578 | + | 30.3605i | −1.57461 | + | 1.17293i | ||||
\(671\) | 32.1963 | 1.24292 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.52059 | 0.0586145 | 0.0293072 | − | 0.999570i | \(-0.490670\pi\) | ||||
0.0293072 | + | 0.999570i | \(0.490670\pi\) | |||||||
\(674\) | −35.9322 | + | 26.7659i | −1.38406 | + | 1.03099i | ||||
\(675\) | 55.6683 | − | 6.37310i | 2.14267 | − | 0.245301i | ||||
\(676\) | −7.02891 | + | 23.5253i | −0.270343 | + | 0.904821i | ||||
\(677\) | 14.2074 | + | 8.20266i | 0.546036 | + | 0.315254i | 0.747522 | − | 0.664238i | \(-0.231244\pi\) |
−0.201486 | + | 0.979491i | \(0.564577\pi\) | |||||||
\(678\) | 0.970748 | − | 48.7588i | 0.0372813 | − | 1.87257i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 2.22052 | + | 6.08520i | 0.0851532 | + | 0.233357i | ||||
\(681\) | 2.89940 | − | 21.1031i | 0.111105 | − | 0.808672i | ||||
\(682\) | −22.7314 | + | 2.66327i | −0.870431 | + | 0.101982i | ||||
\(683\) | 4.57827 | + | 7.92980i | 0.175183 | + | 0.303425i | 0.940224 | − | 0.340555i | \(-0.110615\pi\) |
−0.765042 | + | 0.643981i | \(0.777282\pi\) | |||||||
\(684\) | −18.2178 | − | 11.5084i | −0.696574 | − | 0.440035i | ||||
\(685\) | −36.5672 | −1.39716 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 14.4825 | − | 5.90343i | 0.552543 | − | 0.225230i | ||||
\(688\) | 16.8201 | − | 25.6352i | 0.641261 | − | 0.977333i | ||||
\(689\) | 0.448349 | − | 0.258854i | 0.0170807 | − | 0.00986156i | ||||
\(690\) | −33.7649 | + | 18.6081i | −1.28541 | + | 0.708397i | ||||
\(691\) | −28.7221 | − | 16.5827i | −1.09264 | − | 0.630836i | −0.158362 | − | 0.987381i | \(-0.550621\pi\) |
−0.934278 | + | 0.356545i | \(0.883955\pi\) | |||||||
\(692\) | −8.12090 | + | 7.67013i | −0.308710 | + | 0.291575i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.79707 | + | 1.20562i | 0.106175 | + | 0.0457649i | ||||
\(695\) | 22.0602 | − | 38.2094i | 0.836791 | − | 1.44937i | ||||
\(696\) | 15.7647 | + | 5.05411i | 0.597560 | + | 0.191576i | ||||
\(697\) | −1.54364 | − | 2.67366i | −0.0584694 | − | 0.101272i | ||||
\(698\) | −37.4853 | + | 27.9228i | −1.41884 | + | 1.05689i | ||||
\(699\) | −4.95173 | − | 12.1478i | −0.187292 | − | 0.459472i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 38.1529i | − | 1.44101i | −0.693448 | − | 0.720507i | \(-0.743909\pi\) | ||
0.693448 | − | 0.720507i | \(-0.256091\pi\) | |||||||
\(702\) | −1.42876 | − | 6.08513i | −0.0539251 | − | 0.229668i | ||||
\(703\) | 13.3435 | − | 7.70390i | 0.503261 | − | 0.290558i | ||||
\(704\) | −24.8487 | − | 8.99771i | −0.936519 | − | 0.339114i | ||||
\(705\) | 61.9708 | + | 8.51429i | 2.33396 | + | 0.320667i | ||||
\(706\) | −8.73656 | + | 20.2690i | −0.328805 | + | 0.762833i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −24.8464 | − | 11.3012i | −0.933783 | − | 0.424725i | ||||
\(709\) | −6.97895 | + | 12.0879i | −0.262100 | + | 0.453970i | −0.966800 | − | 0.255535i | \(-0.917748\pi\) |
0.704700 | + | 0.709505i | \(0.251082\pi\) | |||||||
\(710\) | −51.0958 | + | 5.98651i | −1.91759 | + | 0.224670i | ||||
\(711\) | −5.60547 | + | 20.0145i | −0.210221 | + | 0.750601i | ||||
\(712\) | −2.81420 | + | 16.0375i | −0.105466 | + | 0.601032i | ||||
\(713\) | 19.4083i | 0.726848i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 11.1633i | − | 0.417483i | ||||||
\(716\) | 37.7091 | − | 8.95915i | 1.40925 | − | 0.334819i | ||||
\(717\) | 12.6583 | + | 9.82694i | 0.472733 | + | 0.366994i | ||||
\(718\) | 5.53724 | + | 47.2612i | 0.206648 | + | 1.76377i | ||||
\(719\) | −10.0890 | + | 17.4746i | −0.376255 | + | 0.651693i | −0.990514 | − | 0.137412i | \(-0.956122\pi\) |
0.614259 | + | 0.789105i | \(0.289455\pi\) | |||||||
\(720\) | 35.9342 | − | 31.3295i | 1.33919 | − | 1.16758i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 7.92462 | + | 3.41576i | 0.294924 | + | 0.127121i | ||||
\(723\) | −3.69201 | + | 26.8721i | −0.137307 | + | 0.999384i | ||||
\(724\) | 6.22565 | − | 20.8369i | 0.231374 | − | 0.774396i | ||||
\(725\) | −31.5580 | + | 18.2200i | −1.17203 | + | 0.676674i | ||||
\(726\) | 0.110553 | − | 0.182972i | 0.00410300 | − | 0.00679074i | ||||
\(727\) | 1.62103i | 0.0601206i | 0.999548 | + | 0.0300603i | \(0.00956993\pi\) | ||||
−0.999548 | + | 0.0300603i | \(0.990430\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −18.4353 | − | 19.7266i | −0.682789 | − | 0.730615i | ||||
\(730\) | −4.74657 | − | 6.37208i | −0.175678 | − | 0.235841i | ||||
\(731\) | 2.20936 | + | 3.82673i | 0.0817163 | + | 0.141537i | ||||
\(732\) | 3.26052 | + | 33.6043i | 0.120512 | + | 1.24205i | ||||
\(733\) | −13.9026 | + | 24.0801i | −0.513505 | + | 0.889417i | 0.486372 | + | 0.873752i | \(0.338320\pi\) |
−0.999877 | + | 0.0156654i | \(0.995013\pi\) | |||||||
\(734\) | −4.39181 | + | 10.1891i | −0.162105 | + | 0.376086i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −10.0304 | + | 20.0409i | −0.369725 | + | 0.738716i | ||||
\(737\) | 25.8786 | + | 14.9410i | 0.953252 | + | 0.550360i | ||||
\(738\) | −14.2879 | + | 17.6670i | −0.525943 | + | 0.650331i | ||||
\(739\) | 25.1030 | − | 14.4932i | 0.923429 | − | 0.533142i | 0.0387013 | − | 0.999251i | \(-0.487678\pi\) |
0.884727 | + | 0.466109i | \(0.154345\pi\) | |||||||
\(740\) | 7.87961 | + | 33.1653i | 0.289660 | + | 1.21918i | ||||
\(741\) | −1.99724 | − | 4.89971i | −0.0733704 | − | 0.179995i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 10.4018 | 0.381604 | 0.190802 | − | 0.981629i | \(-0.438891\pi\) | ||||
0.190802 | + | 0.981629i | \(0.438891\pi\) | |||||||
\(744\) | −5.08175 | − | 23.4558i | −0.186306 | − | 0.859932i | ||||
\(745\) | 13.3435 | + | 23.1117i | 0.488870 | + | 0.846747i | ||||
\(746\) | −0.162308 | − | 1.38532i | −0.00594251 | − | 0.0507203i | ||||
\(747\) | −3.07815 | − | 12.0287i | −0.112624 | − | 0.440107i | ||||
\(748\) | 2.76888 | − | 2.61518i | 0.101240 | − | 0.0956205i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −1.12027 | + | 56.2688i | −0.0409063 | + | 2.05465i | ||||
\(751\) | 14.7045 | + | 8.48962i | 0.536573 | + | 0.309791i | 0.743689 | − | 0.668526i | \(-0.233074\pi\) |
−0.207116 | + | 0.978316i | \(0.566408\pi\) | |||||||
\(752\) | 32.4763 | − | 16.3550i | 1.18429 | − | 0.596406i | ||||
\(753\) | 4.22745 | + | 3.28186i | 0.154057 | + | 0.119598i | ||||
\(754\) | 2.42838 | + | 3.26000i | 0.0884363 | + | 0.118722i | ||||
\(755\) | 52.4922 | 1.91039 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −10.9716 | −0.398770 | −0.199385 | − | 0.979921i | \(-0.563894\pi\) | ||||
−0.199385 | + | 0.979921i | \(0.563894\pi\) | |||||||
\(758\) | 15.9067 | + | 21.3541i | 0.577757 | + | 0.775617i | ||||
\(759\) | 17.9055 | + | 13.9005i | 0.649929 | + | 0.504555i | ||||
\(760\) | 25.9147 | − | 30.9358i | 0.940026 | − | 1.12216i | ||||
\(761\) | −10.0723 | − | 5.81526i | −0.365121 | − | 0.210803i | 0.306204 | − | 0.951966i | \(-0.400941\pi\) |
−0.671325 | + | 0.741163i | \(0.734274\pi\) | |||||||
\(762\) | 0.801702 | − | 40.2680i | 0.0290426 | − | 1.45876i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 1.69343 | + | 1.79295i | 0.0612660 | + | 0.0648666i | ||||
\(765\) | 1.70331 | + | 6.65613i | 0.0615833 | + | 0.240653i | ||||
\(766\) | −0.596206 | − | 5.08871i | −0.0215418 | − | 0.183863i | ||||
\(767\) | −3.35120 | − | 5.80445i | −0.121005 | − | 0.209586i | ||||
\(768\) | 6.87478 | − | 26.8466i | 0.248072 | − | 0.968742i | ||||
\(769\) | 0.123424 | 0.00445080 | 0.00222540 | − | 0.999998i | \(-0.499292\pi\) | ||||
0.00222540 | + | 0.999998i | \(0.499292\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.81794 | + | 11.8196i | 0.173514 | + | 0.425671i | ||||
\(772\) | −30.7118 | + | 7.29669i | −1.10534 | + | 0.262614i | ||||
\(773\) | −13.4620 | + | 7.77229i | −0.484194 | + | 0.279550i | −0.722163 | − | 0.691723i | \(-0.756852\pi\) |
0.237968 | + | 0.971273i | \(0.423519\pi\) | |||||||
\(774\) | 20.4498 | − | 25.2863i | 0.735053 | − | 0.908896i | ||||
\(775\) | 45.7498 | + | 26.4137i | 1.64338 | + | 0.948808i | ||||
\(776\) | −13.1365 | − | 35.9997i | −0.471573 | − | 1.29231i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 8.18188 | − | 18.9821i | 0.293334 | − | 0.680541i | ||||
\(779\) | −9.61685 | + | 16.6569i | −0.344559 | + | 0.596794i | ||||
\(780\) | 11.6515 | − | 1.13051i | 0.417190 | − | 0.0404786i | ||||
\(781\) | 15.1240 | + | 26.1956i | 0.541181 | + | 0.937353i | ||||
\(782\) | −1.92940 | − | 2.59015i | −0.0689953 | − | 0.0926235i | ||||
\(783\) | 16.1067 | + | 6.99304i | 0.575607 | + | 0.249911i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 9.48806i | 0.338643i | ||||||||
\(786\) | 2.88422 | − | 4.77358i | 0.102877 | − | 0.170268i | ||||
\(787\) | −36.3048 | + | 20.9606i | −1.29413 | + | 0.747164i | −0.979383 | − | 0.202014i | \(-0.935252\pi\) |
−0.314743 | + | 0.949177i | \(0.601918\pi\) | |||||||
\(788\) | 33.3182 | + | 9.95483i | 1.18691 | + | 0.354626i | ||||
\(789\) | −5.23459 | + | 38.0996i | −0.186356 | + | 1.35638i | ||||
\(790\) | −35.7463 | − | 15.4078i | −1.27180 | − | 0.548185i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −25.2792 | − | 12.1111i | −0.898258 | − | 0.430348i | ||||
\(793\) | −4.14510 | + | 7.17953i | −0.147197 | + | 0.254953i | ||||
\(794\) | 1.00337 | + | 8.56394i | 0.0356083 | + | 0.303923i | ||||
\(795\) | 3.30824 | + | 2.56826i | 0.117331 | + | 0.0910868i | ||||
\(796\) | 2.11161 | + | 8.88779i | 0.0748442 | + | 0.315019i | ||||
\(797\) | − | 20.7831i | − | 0.736175i | −0.929791 | − | 0.368088i | \(-0.880013\pi\) | ||
0.929791 | − | 0.368088i | \(-0.119987\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.24038i | 0.185391i | ||||||||
\(800\) | 33.5901 | + | 50.9184i | 1.18759 | + | 1.80024i | ||||
\(801\) | −4.65768 | + | 16.6304i | −0.164571 | + | 0.587605i | ||||
\(802\) | 10.2397 | − | 1.19971i | 0.361577 | − | 0.0423632i | ||||
\(803\) | −2.33589 | + | 4.04587i | −0.0824316 | + | 0.142776i | ||||
\(804\) | −12.9737 | + | 28.5235i | −0.457548 | + | 1.00595i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.33266 | − | 5.41181i | 0.0821645 | − | 0.190623i | ||||
\(807\) | −17.1831 | − | 2.36082i | −0.604874 | − | 0.0831048i | ||||
\(808\) | 15.4797 | + | 12.9673i | 0.544576 | + | 0.456187i | ||||
\(809\) | 1.65777 | − | 0.957115i | 0.0582842 | − | 0.0336504i | −0.470575 | − | 0.882360i | \(-0.655953\pi\) |
0.528859 | + | 0.848710i | \(0.322620\pi\) | |||||||
\(810\) | 41.2225 | − | 29.2849i | 1.44841 | − | 1.02897i | ||||
\(811\) | 4.68171i | 0.164397i | 0.996616 | + | 0.0821986i | \(0.0261942\pi\) | ||||
−0.996616 | + | 0.0821986i | \(0.973806\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 15.4196 | + | 37.8280i | 0.540789 | + | 1.32668i | ||||
\(814\) | 16.0735 | − | 11.9732i | 0.563378 | − | 0.419660i | ||||
\(815\) | −36.3351 | − | 62.9342i | −1.27276 | − | 2.20449i | ||||
\(816\) | 3.00996 | + | 2.62513i | 0.105370 | + | 0.0918978i | ||||
\(817\) | 13.7643 | − | 23.8405i | 0.481552 | − | 0.834073i | ||||
\(818\) | −26.2209 | − | 11.3020i | −0.916792 | − | 0.395166i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −29.2186 | − | 30.9358i | −1.02036 | − | 1.08033i | ||||
\(821\) | 1.44771 | + | 0.835834i | 0.0505253 | + | 0.0291708i | 0.525050 | − | 0.851071i | \(-0.324047\pi\) |
−0.474525 | + | 0.880242i | \(0.657380\pi\) | |||||||
\(822\) | −19.7458 | + | 10.8821i | −0.688715 | + | 0.379555i | ||||
\(823\) | 23.7559 | − | 13.7155i | 0.828078 | − | 0.478091i | −0.0251160 | − | 0.999685i | \(-0.507996\pi\) |
0.853194 | + | 0.521593i | \(0.174662\pi\) | |||||||
\(824\) | −5.13724 | + | 29.2761i | −0.178964 | + | 1.01988i | ||||
\(825\) | 57.1350 | − | 23.2896i | 1.98918 | − | 0.810840i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −25.9621 | −0.902789 | −0.451395 | − | 0.892324i | \(-0.649073\pi\) | ||||
−0.451395 | + | 0.892324i | \(0.649073\pi\) | |||||||
\(828\) | −12.6951 | + | 20.0963i | −0.441184 | + | 0.698394i | ||||
\(829\) | −14.5674 | − | 25.2315i | −0.505948 | − | 0.876328i | −0.999976 | − | 0.00688179i | \(-0.997809\pi\) |
0.494028 | − | 0.869446i | \(-0.335524\pi\) | |||||||
\(830\) | 23.0954 | − | 2.70591i | 0.801652 | − | 0.0939234i | ||||
\(831\) | −6.85100 | + | 49.8646i | −0.237659 | + | 1.72979i | ||||
\(832\) | 5.20555 | − | 4.38265i | 0.180470 | − | 0.151941i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0.541480 | − | 27.1975i | 0.0187499 | − | 0.941774i | ||||
\(835\) | −66.6265 | − | 38.4668i | −2.30571 | − | 1.33120i | ||||
\(836\) | −22.7348 | − | 6.79272i | −0.786300 | − | 0.234931i | ||||
\(837\) | −2.89536 | − | 25.2906i | −0.100078 | − | 0.874173i | ||||
\(838\) | 1.50711 | − | 1.12265i | 0.0520623 | − | 0.0387812i | ||||
\(839\) | 14.3863 | 0.496671 | 0.248336 | − | 0.968674i | \(-0.420116\pi\) | ||||
0.248336 | + | 0.968674i | \(0.420116\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 17.5804 | 0.606221 | ||||||||
\(842\) | 8.30031 | − | 6.18290i | 0.286048 | − | 0.213077i | ||||
\(843\) | −24.7360 | + | 31.8631i | −0.851954 | + | 1.09742i | ||||
\(844\) | 2.13138 | + | 0.636813i | 0.0733650 | + | 0.0219200i | ||||
\(845\) | −42.2381 | − | 24.3862i | −1.45303 | − | 0.838909i | ||||
\(846\) | 35.9973 | − | 13.8443i | 1.23761 | − | 0.475978i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 2.43059 | + | 0.138880i | 0.0834668 | + | 0.00476916i | ||||
\(849\) | −29.9022 | − | 4.10833i | −1.02624 | − | 0.140997i | ||||
\(850\) | −8.73138 | + | 1.02299i | −0.299484 | + | 0.0350882i | ||||
\(851\) | −8.49827 | − | 14.7194i | −0.291317 | − | 0.504576i | ||||
\(852\) | −25.8096 | + | 18.4383i | −0.884223 | + | 0.631686i | ||||
\(853\) | 49.4483 | 1.69308 | 0.846539 | − | 0.532327i | \(-0.178682\pi\) | ||||
0.846539 | + | 0.532327i | \(0.178682\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 30.6062 | − | 29.9237i | 1.04671 | − | 1.02337i | ||||
\(856\) | −3.43531 | − | 0.602812i | −0.117416 | − | 0.0206037i | ||||
\(857\) | −10.0283 | + | 5.78983i | −0.342560 | + | 0.197777i | −0.661403 | − | 0.750030i | \(-0.730039\pi\) |
0.318844 | + | 0.947807i | \(0.396705\pi\) | |||||||
\(858\) | −3.32209 | − | 6.02804i | −0.113414 | − | 0.205794i | ||||
\(859\) | 6.27765 | + | 3.62441i | 0.214191 | + | 0.123663i | 0.603258 | − | 0.797546i | \(-0.293869\pi\) |
−0.389067 | + | 0.921210i | \(0.627202\pi\) | |||||||
\(860\) | 41.8198 | + | 44.2775i | 1.42604 | + | 1.50985i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −0.232377 | − | 0.100162i | −0.00791479 | − | 0.00341152i | ||||
\(863\) | −10.4435 | + | 18.0886i | −0.355500 | + | 0.615744i | −0.987203 | − | 0.159466i | \(-0.949023\pi\) |
0.631703 | + | 0.775210i | \(0.282356\pi\) | |||||||
\(864\) | 10.0807 | − | 27.6112i | 0.342952 | − | 0.939353i | ||||
\(865\) | −11.0946 | − | 19.2164i | −0.377228 | − | 0.653378i | ||||
\(866\) | −17.2956 | + | 12.8835i | −0.587728 | + | 0.437799i | ||||
\(867\) | 26.7336 | − | 10.8973i | 0.907920 | − | 0.370090i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 22.8869i | 0.776385i | ||||||||
\(870\) | −17.0062 | + | 28.1465i | −0.576565 | + | 0.954255i | ||||
\(871\) | −6.66347 | + | 3.84716i | −0.225783 | + | 0.130356i | ||||
\(872\) | −5.81744 | + | 6.94460i | −0.197004 | + | 0.235174i | ||||
\(873\) | −10.0767 | − | 39.3774i | −0.341044 | − | 1.33272i | ||||
\(874\) | −7.96462 | + | 18.4781i | −0.269407 | + | 0.625030i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −4.45937 | − | 2.02831i | −0.150668 | − | 0.0685304i | ||||
\(877\) | 28.5877 | − | 49.5154i | 0.965339 | − | 1.67202i | 0.256639 | − | 0.966507i | \(-0.417385\pi\) |
0.708701 | − | 0.705509i | \(-0.249282\pi\) | |||||||
\(878\) | 42.0053 | − | 4.92144i | 1.41761 | − | 0.166091i | ||||
\(879\) | 1.28250 | − | 1.65202i | 0.0432576 | − | 0.0557211i | ||||
\(880\) | 28.7987 | − | 43.8915i | 0.970804 | − | 1.47958i | ||||
\(881\) | − | 26.8284i | − | 0.903870i | −0.892051 | − | 0.451935i | \(-0.850734\pi\) | ||
0.892051 | − | 0.451935i | \(-0.149266\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 27.6059i | 0.929012i | 0.885570 | + | 0.464506i | \(0.153768\pi\) | ||||
−0.885570 | + | 0.464506i | \(0.846232\pi\) | |||||||
\(884\) | 0.226688 | + | 0.954128i | 0.00762433 | + | 0.0320908i | ||||
\(885\) | 33.2494 | − | 42.8294i | 1.11767 | − | 1.43969i | ||||
\(886\) | 0.825451 | + | 7.04537i | 0.0277316 | + | 0.236694i | ||||
\(887\) | 13.1703 | − | 22.8116i | 0.442215 | − | 0.765939i | −0.555639 | − | 0.831424i | \(-0.687526\pi\) |
0.997854 | + | 0.0654853i | \(0.0208595\pi\) | |||||||
\(888\) | 14.1246 | + | 15.5640i | 0.473990 | + | 0.522292i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −29.7022 | − | 12.8026i | −0.995622 | − | 0.429144i | ||||
\(891\) | −25.4060 | − | 15.4423i | −0.851135 | − | 0.517335i | ||||
\(892\) | −45.2874 | − | 13.5310i | −1.51634 | − | 0.453051i | ||||
\(893\) | 28.2736 | − | 16.3238i | 0.946139 | − | 0.546254i | ||||
\(894\) | 14.0832 | + | 8.50912i | 0.471012 | + | 0.284588i | ||||
\(895\) | 76.9909i | 2.57352i | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −5.40493 | + | 2.20318i | −0.180465 | + | 0.0735621i | ||||
\(898\) | −12.2481 | − | 16.4426i | −0.408724 | − | 0.548696i | ||||
\(899\) | 8.27753 | + | 14.3371i | 0.276071 | + | 0.478169i | ||||
\(900\) | 30.0942 | + | 57.2751i | 1.00314 | + | 1.90917i | ||||
\(901\) | −0.175430 | + | 0.303854i | −0.00584443 | + | 0.0101228i | ||||
\(902\) | −9.90347 | + | 22.9762i | −0.329749 | + | 0.765024i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 52.9010 | − | 19.3039i | 1.75946 | − | 0.642038i | ||||
\(905\) | 37.4111 | + | 21.5993i | 1.24359 | + | 0.717985i | ||||
\(906\) | 28.3452 | − | 15.6212i | 0.941705 | − | 0.518980i | ||||
\(907\) | 9.51618 | − | 5.49417i | 0.315980 | − | 0.182431i | −0.333619 | − | 0.942708i | \(-0.608270\pi\) |
0.649599 | + | 0.760277i | \(0.274937\pi\) | |||||||
\(908\) | 23.9305 | − | 5.68556i | 0.794163 | − | 0.188682i | ||||
\(909\) | 14.9733 | + | 15.3148i | 0.496634 | + | 0.507961i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 6.42795 | 0.212968 | 0.106484 | − | 0.994314i | \(-0.466041\pi\) | ||||
0.106484 | + | 0.994314i | \(0.466041\pi\) | |||||||
\(912\) | 4.78742 | − | 24.4170i | 0.158527 | − | 0.808526i | ||||
\(913\) | −6.83609 | − | 11.8404i | −0.226241 | − | 0.391862i | ||||
\(914\) | 3.26779 | + | 27.8911i | 0.108089 | + | 0.922556i | ||||
\(915\) | −66.4414 | − | 9.12852i | −2.19649 | − | 0.301779i | ||||
\(916\) | 12.4000 | + | 13.1288i | 0.409709 | + | 0.433787i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 2.90057 | + | 3.08734i | 0.0957331 | + | 0.101898i | ||||
\(919\) | 47.7559 | + | 27.5719i | 1.57532 | + | 0.909512i | 0.995499 | + | 0.0947691i | \(0.0302113\pi\) |
0.579822 | + | 0.814743i | \(0.303122\pi\) | |||||||
\(920\) | −34.1257 | − | 28.5869i | −1.12509 | − | 0.942481i | ||||
\(921\) | 36.1418 | − | 46.5552i | 1.19091 | − | 1.53404i | ||||
\(922\) | 14.6923 | + | 19.7238i | 0.483864 | + | 0.649569i | ||||
\(923\) | −7.78856 | −0.256364 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −46.2628 | −1.52111 | ||||||||
\(926\) | 12.9514 | + | 17.3868i | 0.425610 | + | 0.571365i | ||||
\(927\) | −8.50246 | + | 30.3583i | −0.279258 | + | 0.997096i | ||||
\(928\) | 1.13777 | + | 19.0823i | 0.0373493 | + | 0.626406i | ||||
\(929\) | −41.5330 | − | 23.9791i | −1.36265 | − | 0.786728i | −0.372677 | − | 0.927961i | \(-0.621560\pi\) |
−0.989976 | + | 0.141233i | \(0.954893\pi\) | |||||||
\(930\) | 47.6645 | + | 0.948960i | 1.56298 | + | 0.0311176i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 11.0123 | − | 10.4010i | 0.360719 | − | 0.340697i | ||||
\(933\) | −6.29739 | + | 45.8352i | −0.206167 | + | 1.50058i | ||||
\(934\) | 3.46939 | + | 29.6118i | 0.113522 | + | 0.968929i | ||||
\(935\) | 3.78278 | + | 6.55197i | 0.123710 | + | 0.214272i | ||||
\(936\) | 5.95523 | − | 4.07784i | 0.194653 | − | 0.133288i | ||||
\(937\) | −36.7501 | −1.20057 | −0.600287 | − | 0.799784i | \(-0.704947\pi\) | ||||
−0.600287 | + | 0.799784i | \(0.704947\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.9574 | − | 6.09698i | 0.488115 | − | 0.198968i | ||||
\(940\) | 16.6961 | + | 70.2738i | 0.544566 | + | 2.29208i | ||||
\(941\) | −34.3080 | + | 19.8077i | −1.11841 | + | 0.645714i | −0.940994 | − | 0.338422i | \(-0.890107\pi\) |
−0.177415 | + | 0.984136i | \(0.556774\pi\) | |||||||
\(942\) | 2.82356 | + | 5.12344i | 0.0919965 | + | 0.166931i | ||||
\(943\) | 18.3744 | + | 10.6085i | 0.598353 | + | 0.345459i | ||||
\(944\) | 1.79798 | − | 31.4671i | 0.0585193 | − | 1.02417i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 14.1745 | − | 32.8852i | 0.460854 | − | 1.06919i | ||||
\(947\) | −5.92594 | + | 10.2640i | −0.192567 | + | 0.333536i | −0.946100 | − | 0.323874i | \(-0.895015\pi\) |
0.753533 | + | 0.657410i | \(0.228348\pi\) | |||||||
\(948\) | −23.8878 | + | 2.31776i | −0.775840 | + | 0.0752773i | ||||
\(949\) | −0.601466 | − | 1.04177i | −0.0195244 | − | 0.0338172i | ||||
\(950\) | 32.7176 | + | 43.9221i | 1.06150 | + | 1.42502i | ||||
\(951\) | −17.6480 | − | 43.2948i | −0.572275 | − | 1.40393i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 39.8193i | 1.28987i | 0.764236 | + | 0.644937i | \(0.223116\pi\) | ||||
−0.764236 | + | 0.644937i | \(0.776884\pi\) | |||||||
\(954\) | 2.55070 | + | 0.402328i | 0.0825819 | + | 0.0130259i | ||||
\(955\) | −4.24264 | + | 2.44949i | −0.137289 | + | 0.0792636i | ||||
\(956\) | −5.29728 | + | 17.7297i | −0.171326 | + | 0.573418i | ||||
\(957\) | 19.1554 | + | 2.63180i | 0.619207 | + | 0.0850741i | ||||
\(958\) | −9.86972 | − | 4.25416i | −0.318876 | − | 0.137446i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 48.7274 | + | 25.6132i | 1.57267 | + | 0.826664i | ||||
\(961\) | −3.50000 | + | 6.06218i | −0.112903 | + | 0.195554i | ||||
\(962\) | 0.600546 | + | 5.12576i | 0.0193624 | + | 0.165261i | ||||
\(963\) | −3.56229 | − | 0.997694i | −0.114793 | − | 0.0321502i | ||||
\(964\) | −30.4725 | + | 7.23984i | −0.981453 | + | 0.233179i | ||||
\(965\) | − | 62.7045i | − | 2.01853i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 23.4388i | − | 0.753741i | −0.926266 | − | 0.376871i | \(-0.877000\pi\) | ||
0.926266 | − | 0.376871i | \(-0.123000\pi\) | |||||||
\(968\) | 0.243134 | + | 0.0426641i | 0.00781462 | + | 0.00137127i | ||||
\(969\) | 2.83253 | + | 2.19896i | 0.0909941 | + | 0.0706408i | ||||
\(970\) | 75.6054 | − | 8.85811i | 2.42754 | − | 0.284417i | ||||
\(971\) | 5.55718 | − | 9.62532i | 0.178338 | − | 0.308891i | −0.762973 | − | 0.646430i | \(-0.776261\pi\) |
0.941312 | + | 0.337539i | \(0.109595\pi\) | |||||||
\(972\) | 13.5447 | − | 28.0810i | 0.434447 | − | 0.900697i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −8.64155 | + | 20.0485i | −0.276893 | + | 0.642396i | ||||
\(975\) | −2.16242 | + | 15.7391i | −0.0692529 | + | 0.504054i | ||||
\(976\) | −34.8191 | + | 17.5349i | −1.11453 | + | 0.561278i | ||||
\(977\) | 9.58812 | − | 5.53570i | 0.306751 | − | 0.177103i | −0.338721 | − | 0.940887i | \(-0.609994\pi\) |
0.645472 | + | 0.763784i | \(0.276661\pi\) | |||||||
\(978\) | −38.3492 | − | 23.1707i | −1.22627 | − | 0.740918i | ||||
\(979\) | 19.0171i | 0.607790i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.87062 | + | 6.71741i | −0.219362 | + | 0.214470i | ||||
\(982\) | −45.9515 | + | 34.2293i | −1.46637 | + | 1.09230i | ||||
\(983\) | 15.9716 | + | 27.6637i | 0.509416 | + | 0.882334i | 0.999941 | + | 0.0109070i | \(0.00347189\pi\) |
−0.490524 | + | 0.871427i | \(0.663195\pi\) | |||||||
\(984\) | −24.9839 | − | 8.00977i | −0.796459 | − | 0.255342i | ||||
\(985\) | −34.5373 | + | 59.8204i | −1.10045 | + | 1.90604i | ||||
\(986\) | −2.52995 | − | 1.09049i | −0.0805700 | − | 0.0347282i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 4.44171 | − | 4.19516i | 0.141310 | − | 0.133466i | ||||
\(989\) | −26.2988 | − | 15.1836i | −0.836252 | − | 0.482811i | ||||
\(990\) | 35.0133 | − | 43.2941i | 1.11280 | − | 1.37598i | ||||
\(991\) | −18.0000 | + | 10.3923i | −0.571789 | + | 0.330122i | −0.757863 | − | 0.652413i | \(-0.773757\pi\) |
0.186075 | + | 0.982536i | \(0.440423\pi\) | |||||||
\(992\) | 23.1327 | − | 15.2603i | 0.734465 | − | 0.484515i | ||||
\(993\) | −9.54109 | − | 23.4066i | −0.302777 | − | 0.742785i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −18.1463 | −0.575275 | ||||||||
\(996\) | 11.6660 | − | 8.33413i | 0.369650 | − | 0.264077i | ||||
\(997\) | −20.7685 | − | 35.9721i | −0.657745 | − | 1.13925i | −0.981198 | − | 0.193003i | \(-0.938177\pi\) |
0.323453 | − | 0.946244i | \(-0.395156\pi\) | |||||||
\(998\) | −42.6537 | + | 4.99740i | −1.35018 | + | 0.158190i | ||||
\(999\) | 13.2698 | + | 17.9129i | 0.419838 | + | 0.566738i |
(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 | 588.2.n.d.275.1 | 24 | ||
3.2 | odd | 2 | inner | 588.2.n.d.275.12 | 24 | ||
4.3 | odd | 2 | 588.2.n.h.275.8 | 24 | |||
7.2 | even | 3 | 588.2.e.f.491.24 | yes | 24 | ||
7.3 | odd | 6 | 588.2.n.h.263.6 | 24 | |||
7.4 | even | 3 | 588.2.n.h.263.5 | 24 | |||
7.5 | odd | 6 | 588.2.e.f.491.23 | yes | 24 | ||
7.6 | odd | 2 | inner | 588.2.n.d.275.2 | 24 | ||
12.11 | even | 2 | 588.2.n.h.275.5 | 24 | |||
21.2 | odd | 6 | 588.2.e.f.491.1 | ✓ | 24 | ||
21.5 | even | 6 | 588.2.e.f.491.2 | yes | 24 | ||
21.11 | odd | 6 | 588.2.n.h.263.8 | 24 | |||
21.17 | even | 6 | 588.2.n.h.263.7 | 24 | |||
21.20 | even | 2 | inner | 588.2.n.d.275.11 | 24 | ||
28.3 | even | 6 | inner | 588.2.n.d.263.11 | 24 | ||
28.11 | odd | 6 | inner | 588.2.n.d.263.12 | 24 | ||
28.19 | even | 6 | 588.2.e.f.491.4 | yes | 24 | ||
28.23 | odd | 6 | 588.2.e.f.491.3 | yes | 24 | ||
28.27 | even | 2 | 588.2.n.h.275.7 | 24 | |||
84.11 | even | 6 | inner | 588.2.n.d.263.1 | 24 | ||
84.23 | even | 6 | 588.2.e.f.491.22 | yes | 24 | ||
84.47 | odd | 6 | 588.2.e.f.491.21 | yes | 24 | ||
84.59 | odd | 6 | inner | 588.2.n.d.263.2 | 24 | ||
84.83 | odd | 2 | 588.2.n.h.275.6 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.e.f.491.1 | ✓ | 24 | 21.2 | odd | 6 | ||
588.2.e.f.491.2 | yes | 24 | 21.5 | even | 6 | ||
588.2.e.f.491.3 | yes | 24 | 28.23 | odd | 6 | ||
588.2.e.f.491.4 | yes | 24 | 28.19 | even | 6 | ||
588.2.e.f.491.21 | yes | 24 | 84.47 | odd | 6 | ||
588.2.e.f.491.22 | yes | 24 | 84.23 | even | 6 | ||
588.2.e.f.491.23 | yes | 24 | 7.5 | odd | 6 | ||
588.2.e.f.491.24 | yes | 24 | 7.2 | even | 3 | ||
588.2.n.d.263.1 | 24 | 84.11 | even | 6 | inner | ||
588.2.n.d.263.2 | 24 | 84.59 | odd | 6 | inner | ||
588.2.n.d.263.11 | 24 | 28.3 | even | 6 | inner | ||
588.2.n.d.263.12 | 24 | 28.11 | odd | 6 | inner | ||
588.2.n.d.275.1 | 24 | 1.1 | even | 1 | trivial | ||
588.2.n.d.275.2 | 24 | 7.6 | odd | 2 | inner | ||
588.2.n.d.275.11 | 24 | 21.20 | even | 2 | inner | ||
588.2.n.d.275.12 | 24 | 3.2 | odd | 2 | inner | ||
588.2.n.h.263.5 | 24 | 7.4 | even | 3 | |||
588.2.n.h.263.6 | 24 | 7.3 | odd | 6 | |||
588.2.n.h.263.7 | 24 | 21.17 | even | 6 | |||
588.2.n.h.263.8 | 24 | 21.11 | odd | 6 | |||
588.2.n.h.275.5 | 24 | 12.11 | even | 2 | |||
588.2.n.h.275.6 | 24 | 84.83 | odd | 2 | |||
588.2.n.h.275.7 | 24 | 28.27 | even | 2 | |||
588.2.n.h.275.8 | 24 | 4.3 | odd | 2 |