Newspace parameters
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.p (of order \(4\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(i)\) |
Coefficient field: | \(\Q(\zeta_{16})\) |
|
|
Defining polynomial: |
\( x^{8} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 70) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 433.3 | ||
Root | \(0.923880 - 0.382683i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 630.433 |
Dual form | 630.2.p.a.307.3 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | −0.158513 | + | 2.23044i | −0.0708890 | + | 0.997484i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.941740 | + | 2.47247i | −0.355944 | + | 0.934507i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.46508 | + | 1.68925i | 0.463298 | + | 0.534187i | ||||
\(11\) | −2.82843 | −0.852803 | −0.426401 | − | 0.904534i | \(-0.640219\pi\) | ||||
−0.426401 | + | 0.904534i | \(0.640219\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.23671 | + | 4.23671i | −1.17505 | + | 1.17505i | −0.194064 | + | 0.980989i | \(0.562167\pi\) |
−0.980989 | + | 0.194064i | \(0.937833\pi\) | |||||||
\(14\) | 1.08239 | + | 2.41421i | 0.289281 | + | 0.645226i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 3.69552 | + | 3.69552i | 0.896295 | + | 0.896295i | 0.995106 | − | 0.0988114i | \(-0.0315040\pi\) |
−0.0988114 | + | 0.995106i | \(0.531504\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.39942 | 0.321048 | 0.160524 | − | 0.987032i | \(-0.448682\pi\) | ||||
0.160524 | + | 0.987032i | \(0.448682\pi\) | |||||||
\(20\) | 2.23044 | + | 0.158513i | 0.498742 | + | 0.0354445i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.00000 | + | 2.00000i | −0.426401 | + | 0.426401i | ||||
\(23\) | −0.414214 | − | 0.414214i | −0.0863695 | − | 0.0863695i | 0.662602 | − | 0.748972i | \(-0.269452\pi\) |
−0.748972 | + | 0.662602i | \(0.769452\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.94975 | − | 0.707107i | −0.989949 | − | 0.141421i | ||||
\(26\) | 5.99162i | 1.17505i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.47247 | + | 0.941740i | 0.467254 | + | 0.177972i | ||||
\(29\) | − | 0.828427i | − | 0.153835i | −0.997037 | − | 0.0769175i | \(-0.975492\pi\) | ||
0.997037 | − | 0.0769175i | \(-0.0245078\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 1.53073i | − | 0.274928i | −0.990507 | − | 0.137464i | \(-0.956105\pi\) | ||
0.990507 | − | 0.137464i | \(-0.0438951\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.22625 | 0.896295 | ||||||||
\(35\) | −5.36543 | − | 2.49242i | −0.906924 | − | 0.421295i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.58579 | − | 2.58579i | 0.425101 | − | 0.425101i | −0.461855 | − | 0.886956i | \(-0.652816\pi\) |
0.886956 | + | 0.461855i | \(0.152816\pi\) | |||||||
\(38\) | 0.989538 | − | 0.989538i | 0.160524 | − | 0.160524i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.68925 | − | 1.46508i | 0.267093 | − | 0.231649i | ||||
\(41\) | 3.69552i | 0.577143i | 0.957458 | + | 0.288571i | \(0.0931803\pi\) | ||||
−0.957458 | + | 0.288571i | \(0.906820\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.00000 | + | 4.00000i | 0.609994 | + | 0.609994i | 0.942944 | − | 0.332950i | \(-0.108044\pi\) |
−0.332950 | + | 0.942944i | \(0.608044\pi\) | |||||||
\(44\) | 2.82843i | 0.426401i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.585786 | −0.0863695 | ||||||||
\(47\) | −1.08239 | − | 1.08239i | −0.157883 | − | 0.157883i | 0.623745 | − | 0.781628i | \(-0.285610\pi\) |
−0.781628 | + | 0.623745i | \(0.785610\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.22625 | − | 4.65685i | −0.746607 | − | 0.665265i | ||||
\(50\) | −4.00000 | + | 3.00000i | −0.565685 | + | 0.424264i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.23671 | + | 4.23671i | 0.587527 | + | 0.587527i | ||||
\(53\) | 8.24264 | + | 8.24264i | 1.13221 | + | 1.13221i | 0.989808 | + | 0.142405i | \(0.0454837\pi\) |
0.142405 | + | 0.989808i | \(0.454516\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.448342 | − | 6.30864i | 0.0604544 | − | 0.850657i | ||||
\(56\) | 2.41421 | − | 1.08239i | 0.322613 | − | 0.144641i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.585786 | − | 0.585786i | −0.0769175 | − | 0.0769175i | ||||
\(59\) | 9.23880 | 1.20279 | 0.601394 | − | 0.798952i | \(-0.294612\pi\) | ||||
0.601394 | + | 0.798952i | \(0.294612\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.43996i | 0.824552i | 0.911059 | + | 0.412276i | \(0.135266\pi\) | ||||
−0.911059 | + | 0.412276i | \(0.864734\pi\) | |||||||
\(62\) | −1.08239 | − | 1.08239i | −0.137464 | − | 0.137464i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −8.77817 | − | 10.1213i | −1.08880 | − | 1.25540i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.4853 | − | 10.4853i | 1.28098 | − | 1.28098i | 0.340871 | − | 0.940110i | \(-0.389278\pi\) |
0.940110 | − | 0.340871i | \(-0.110722\pi\) | |||||||
\(68\) | 3.69552 | − | 3.69552i | 0.448147 | − | 0.448147i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.55634 | + | 2.03153i | −0.664109 | + | 0.242814i | ||||
\(71\) | 0.585786 | 0.0695201 | 0.0347600 | − | 0.999396i | \(-0.488933\pi\) | ||||
0.0347600 | + | 0.999396i | \(0.488933\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.14386 | − | 4.14386i | 0.485002 | − | 0.485002i | −0.421723 | − | 0.906725i | \(-0.638574\pi\) |
0.906725 | + | 0.421723i | \(0.138574\pi\) | |||||||
\(74\) | − | 3.65685i | − | 0.425101i | ||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 1.39942i | − | 0.160524i | ||||||
\(77\) | 2.66364 | − | 6.99321i | 0.303550 | − | 0.796950i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 5.07107i | − | 0.570540i | −0.958447 | − | 0.285270i | \(-0.907917\pi\) | ||
0.958447 | − | 0.285270i | \(-0.0920832\pi\) | |||||||
\(80\) | 0.158513 | − | 2.23044i | 0.0177223 | − | 0.249371i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.61313 | + | 2.61313i | 0.288571 | + | 0.288571i | ||||
\(83\) | −5.31911 | + | 5.31911i | −0.583848 | + | 0.583848i | −0.935958 | − | 0.352111i | \(-0.885464\pi\) |
0.352111 | + | 0.935958i | \(0.385464\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.82843 | + | 7.65685i | −0.957577 | + | 0.830502i | ||||
\(86\) | 5.65685 | 0.609994 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.00000 | + | 2.00000i | 0.213201 | + | 0.213201i | ||||
\(89\) | −11.3492 | −1.20301 | −0.601506 | − | 0.798869i | \(-0.705432\pi\) | ||||
−0.601506 | + | 0.798869i | \(0.705432\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.48528 | − | 14.4650i | −0.679842 | − | 1.51635i | ||||
\(92\) | −0.414214 | + | 0.414214i | −0.0431847 | + | 0.0431847i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.53073 | −0.157883 | ||||||||
\(95\) | −0.221825 | + | 3.12132i | −0.0227588 | + | 0.320241i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.59220 | − | 4.59220i | −0.466267 | − | 0.466267i | 0.434436 | − | 0.900703i | \(-0.356948\pi\) |
−0.900703 | + | 0.434436i | \(0.856948\pi\) | |||||||
\(98\) | −6.98841 | + | 0.402625i | −0.705936 | + | 0.0406713i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.707107 | + | 4.94975i | −0.0707107 | + | 0.494975i | ||||
\(101\) | − | 2.74444i | − | 0.273082i | −0.990634 | − | 0.136541i | \(-0.956401\pi\) | ||
0.990634 | − | 0.136541i | \(-0.0435986\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.0042 | + | 10.0042i | −0.985739 | + | 0.985739i | −0.999900 | − | 0.0141603i | \(-0.995492\pi\) |
0.0141603 | + | 0.999900i | \(0.495492\pi\) | |||||||
\(104\) | 5.99162 | 0.587527 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.6569 | 1.13221 | ||||||||
\(107\) | 3.65685 | − | 3.65685i | 0.353521 | − | 0.353521i | −0.507897 | − | 0.861418i | \(-0.669577\pi\) |
0.861418 | + | 0.507897i | \(0.169577\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.1421i | 1.16301i | 0.813544 | + | 0.581503i | \(0.197535\pi\) | ||||
−0.813544 | + | 0.581503i | \(0.802465\pi\) | |||||||
\(110\) | −4.14386 | − | 4.77791i | −0.395102 | − | 0.455556i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.941740 | − | 2.47247i | 0.0889861 | − | 0.233627i | ||||
\(113\) | −1.17157 | − | 1.17157i | −0.110212 | − | 0.110212i | 0.649850 | − | 0.760062i | \(-0.274832\pi\) |
−0.760062 | + | 0.649850i | \(0.774832\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.989538 | − | 0.858221i | 0.0922749 | − | 0.0800296i | ||||
\(116\) | −0.828427 | −0.0769175 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 6.53281 | − | 6.53281i | 0.601394 | − | 0.601394i | ||||
\(119\) | −12.6173 | + | 5.65685i | −1.15662 | + | 0.518563i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.00000 | −0.272727 | ||||||||
\(122\) | 4.55374 | + | 4.55374i | 0.412276 | + | 0.412276i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.53073 | −0.137464 | ||||||||
\(125\) | 2.36176 | − | 10.9280i | 0.211242 | − | 0.977434i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.58579 | − | 3.58579i | 0.318187 | − | 0.318187i | −0.529883 | − | 0.848071i | \(-0.677764\pi\) |
0.848071 | + | 0.529883i | \(0.177764\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −13.3640 | − | 0.949747i | −1.17210 | − | 0.0832984i | ||||
\(131\) | − | 14.6508i | − | 1.28004i | −0.768357 | − | 0.640021i | \(-0.778926\pi\) | ||
0.768357 | − | 0.640021i | \(-0.221074\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.31789 | + | 3.46002i | −0.114275 | + | 0.300022i | ||||
\(134\) | − | 14.8284i | − | 1.28098i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | − | 5.22625i | − | 0.448147i | ||||||
\(137\) | 8.17157 | − | 8.17157i | 0.698145 | − | 0.698145i | −0.265866 | − | 0.964010i | \(-0.585658\pi\) |
0.964010 | + | 0.265866i | \(0.0856577\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.60474 | −0.729845 | −0.364922 | − | 0.931038i | \(-0.618905\pi\) | ||||
−0.364922 | + | 0.931038i | \(0.618905\pi\) | |||||||
\(140\) | −2.49242 | + | 5.36543i | −0.210648 | + | 0.453462i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.414214 | − | 0.414214i | 0.0347600 | − | 0.0347600i | ||||
\(143\) | 11.9832 | − | 11.9832i | 1.00209 | − | 1.00209i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.84776 | + | 0.131316i | 0.153448 | + | 0.0109052i | ||||
\(146\) | − | 5.86030i | − | 0.485002i | ||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −2.58579 | − | 2.58579i | −0.212550 | − | 0.212550i | ||||
\(149\) | 17.3137i | 1.41839i | 0.705010 | + | 0.709197i | \(0.250942\pi\) | ||||
−0.705010 | + | 0.709197i | \(0.749058\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −8.82843 | −0.718447 | −0.359224 | − | 0.933252i | \(-0.616958\pi\) | ||||
−0.359224 | + | 0.933252i | \(0.616958\pi\) | |||||||
\(152\) | −0.989538 | − | 0.989538i | −0.0802621 | − | 0.0802621i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.06147 | − | 6.82843i | −0.246700 | − | 0.550250i | ||||
\(155\) | 3.41421 | + | 0.242641i | 0.274236 | + | 0.0194894i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.2283 | + | 10.2283i | 0.816310 | + | 0.816310i | 0.985571 | − | 0.169261i | \(-0.0541382\pi\) |
−0.169261 | + | 0.985571i | \(0.554138\pi\) | |||||||
\(158\) | −3.58579 | − | 3.58579i | −0.285270 | − | 0.285270i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.46508 | − | 1.68925i | −0.115824 | − | 0.133547i | ||||
\(161\) | 1.41421 | − | 0.634051i | 0.111456 | − | 0.0499702i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.6569 | + | 13.6569i | 1.06969 | + | 1.06969i | 0.997383 | + | 0.0723048i | \(0.0230354\pi\) |
0.0723048 | + | 0.997383i | \(0.476965\pi\) | |||||||
\(164\) | 3.69552 | 0.288571 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.52235i | 0.583848i | ||||||||
\(167\) | 1.71644 | + | 1.71644i | 0.132822 | + | 0.132822i | 0.770392 | − | 0.637570i | \(-0.220060\pi\) |
−0.637570 | + | 0.770392i | \(0.720060\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | − | 22.8995i | − | 1.76150i | ||||||
\(170\) | −0.828427 | + | 11.6569i | −0.0635375 | + | 0.894040i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.00000 | − | 4.00000i | 0.304997 | − | 0.304997i | ||||
\(173\) | −13.2898 | + | 13.2898i | −1.01040 | + | 1.01040i | −0.0104595 | + | 0.999945i | \(0.503329\pi\) |
−0.999945 | + | 0.0104595i | \(0.996671\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.40968 | − | 11.5722i | 0.484526 | − | 0.874777i | ||||
\(176\) | 2.82843 | 0.213201 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.02509 | + | 8.02509i | −0.601506 | + | 0.601506i | ||||
\(179\) | − | 13.6569i | − | 1.02076i | −0.859949 | − | 0.510381i | \(-0.829505\pi\) | ||
0.859949 | − | 0.510381i | \(-0.170495\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.79045i | 0.653389i | 0.945130 | + | 0.326695i | \(0.105935\pi\) | ||||
−0.945130 | + | 0.326695i | \(0.894065\pi\) | |||||||
\(182\) | −14.8141 | − | 5.64255i | −1.09810 | − | 0.418253i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.585786i | 0.0431847i | ||||||||
\(185\) | 5.35757 | + | 6.17733i | 0.393896 | + | 0.454166i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −10.4525 | − | 10.4525i | −0.764363 | − | 0.764363i | ||||
\(188\) | −1.08239 | + | 1.08239i | −0.0789416 | + | 0.0789416i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.05025 | + | 2.36396i | 0.148741 | + | 0.171500i | ||||
\(191\) | −1.75736 | −0.127158 | −0.0635790 | − | 0.997977i | \(-0.520251\pi\) | ||||
−0.0635790 | + | 0.997977i | \(0.520251\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.24264 | + | 8.24264i | 0.593318 | + | 0.593318i | 0.938526 | − | 0.345208i | \(-0.112192\pi\) |
−0.345208 | + | 0.938526i | \(0.612192\pi\) | |||||||
\(194\) | −6.49435 | −0.466267 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.65685 | + | 5.22625i | −0.332632 | + | 0.373304i | ||||
\(197\) | −0.585786 | + | 0.585786i | −0.0417356 | + | 0.0417356i | −0.727667 | − | 0.685931i | \(-0.759395\pi\) |
0.685931 | + | 0.727667i | \(0.259395\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 28.0334 | 1.98724 | 0.993618 | − | 0.112798i | \(-0.0359814\pi\) | ||||
0.993618 | + | 0.112798i | \(0.0359814\pi\) | |||||||
\(200\) | 3.00000 | + | 4.00000i | 0.212132 | + | 0.282843i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.94061 | − | 1.94061i | −0.136541 | − | 0.136541i | ||||
\(203\) | 2.04826 | + | 0.780163i | 0.143760 | + | 0.0547567i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.24264 | − | 0.585786i | −0.575691 | − | 0.0409131i | ||||
\(206\) | 14.1480i | 0.985739i | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.23671 | − | 4.23671i | 0.293763 | − | 0.293763i | ||||
\(209\) | −3.95815 | −0.273791 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.3431 | −0.712052 | −0.356026 | − | 0.934476i | \(-0.615868\pi\) | ||||
−0.356026 | + | 0.934476i | \(0.615868\pi\) | |||||||
\(212\) | 8.24264 | − | 8.24264i | 0.566107 | − | 0.566107i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | − | 5.17157i | − | 0.353521i | ||||||
\(215\) | −9.55582 | + | 8.28772i | −0.651702 | + | 0.565218i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.78470 | + | 1.44155i | 0.256922 | + | 0.0978590i | ||||
\(218\) | 8.58579 | + | 8.58579i | 0.581503 | + | 0.581503i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −6.30864 | − | 0.448342i | −0.425329 | − | 0.0302272i | ||||
\(221\) | −31.3137 | −2.10639 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.75699 | − | 6.75699i | 0.452481 | − | 0.452481i | −0.443696 | − | 0.896177i | \(-0.646333\pi\) |
0.896177 | + | 0.443696i | \(0.146333\pi\) | |||||||
\(224\) | −1.08239 | − | 2.41421i | −0.0723204 | − | 0.161306i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.65685 | −0.110212 | ||||||||
\(227\) | 8.38057 | + | 8.38057i | 0.556238 | + | 0.556238i | 0.928234 | − | 0.371996i | \(-0.121327\pi\) |
−0.371996 | + | 0.928234i | \(0.621327\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.70806 | 0.509363 | 0.254682 | − | 0.967025i | \(-0.418029\pi\) | ||||
0.254682 | + | 0.967025i | \(0.418029\pi\) | |||||||
\(230\) | 0.0928546 | − | 1.30656i | 0.00612265 | − | 0.0861522i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.585786 | + | 0.585786i | −0.0384588 | + | 0.0384588i | ||||
\(233\) | −3.00000 | − | 3.00000i | −0.196537 | − | 0.196537i | 0.601977 | − | 0.798513i | \(-0.294380\pi\) |
−0.798513 | + | 0.601977i | \(0.794380\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.58579 | − | 2.24264i | 0.168678 | − | 0.146294i | ||||
\(236\) | − | 9.23880i | − | 0.601394i | ||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.92177 | + | 12.9218i | −0.319031 | + | 0.837594i | ||||
\(239\) | − | 6.48528i | − | 0.419498i | −0.977755 | − | 0.209749i | \(-0.932735\pi\) | ||
0.977755 | − | 0.209749i | \(-0.0672647\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.75699i | 0.435256i | 0.976032 | + | 0.217628i | \(0.0698319\pi\) | ||||
−0.976032 | + | 0.217628i | \(0.930168\pi\) | |||||||
\(242\) | −2.12132 | + | 2.12132i | −0.136364 | + | 0.136364i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 6.43996 | 0.412276 | ||||||||
\(245\) | 11.2153 | − | 10.9187i | 0.716517 | − | 0.697569i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −5.92893 | + | 5.92893i | −0.377249 | + | 0.377249i | ||||
\(248\) | −1.08239 | + | 1.08239i | −0.0687320 | + | 0.0687320i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.05728 | − | 9.39731i | −0.383096 | − | 0.594338i | ||||
\(251\) | − | 14.0936i | − | 0.889582i | −0.895634 | − | 0.444791i | \(-0.853278\pi\) | ||
0.895634 | − | 0.444791i | \(-0.146722\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.17157 | + | 1.17157i | 0.0736562 | + | 0.0736562i | ||||
\(254\) | − | 5.07107i | − | 0.318187i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 7.83938 | + | 7.83938i | 0.489007 | + | 0.489007i | 0.907993 | − | 0.418986i | \(-0.137614\pi\) |
−0.418986 | + | 0.907993i | \(0.637614\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.95815 | + | 8.82843i | 0.245948 | + | 0.548572i | ||||
\(260\) | −10.1213 | + | 8.77817i | −0.627698 | + | 0.544399i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10.3596 | − | 10.3596i | −0.640021 | − | 0.640021i | ||||
\(263\) | 19.4142 | + | 19.4142i | 1.19713 | + | 1.19713i | 0.975022 | + | 0.222110i | \(0.0712944\pi\) |
0.222110 | + | 0.975022i | \(0.428706\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −19.6913 | + | 17.0782i | −1.20963 | + | 1.04910i | ||||
\(266\) | 1.51472 | + | 3.37849i | 0.0928734 | + | 0.207149i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.4853 | − | 10.4853i | −0.640490 | − | 0.640490i | ||||
\(269\) | 26.8966 | 1.63992 | 0.819958 | − | 0.572424i | \(-0.193997\pi\) | ||||
0.819958 | + | 0.572424i | \(0.193997\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 18.7402i | − | 1.13839i | −0.822203 | − | 0.569194i | \(-0.807255\pi\) | ||
0.822203 | − | 0.569194i | \(-0.192745\pi\) | |||||||
\(272\) | −3.69552 | − | 3.69552i | −0.224074 | − | 0.224074i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 11.5563i | − | 0.698145i | ||||||
\(275\) | 14.0000 | + | 2.00000i | 0.844232 | + | 0.120605i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.75736 | + | 1.75736i | −0.105589 | + | 0.105589i | −0.757928 | − | 0.652338i | \(-0.773788\pi\) |
0.652338 | + | 0.757928i | \(0.273788\pi\) | |||||||
\(278\) | −6.08447 | + | 6.08447i | −0.364922 | + | 0.364922i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.03153 | + | 5.55634i | 0.121407 | + | 0.332055i | ||||
\(281\) | 5.65685 | 0.337460 | 0.168730 | − | 0.985662i | \(-0.446033\pi\) | ||||
0.168730 | + | 0.985662i | \(0.446033\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.15432 | − | 3.15432i | 0.187505 | − | 0.187505i | −0.607112 | − | 0.794617i | \(-0.707672\pi\) |
0.794617 | + | 0.607112i | \(0.207672\pi\) | |||||||
\(284\) | − | 0.585786i | − | 0.0347600i | ||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | − | 16.9469i | − | 1.00209i | ||||||
\(287\) | −9.13707 | − | 3.48022i | −0.539344 | − | 0.205431i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10.3137i | 0.606689i | ||||||||
\(290\) | 1.39942 | − | 1.21371i | 0.0821766 | − | 0.0712714i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −4.14386 | − | 4.14386i | −0.242501 | − | 0.242501i | ||||
\(293\) | 2.38896 | − | 2.38896i | 0.139564 | − | 0.139564i | −0.633873 | − | 0.773437i | \(-0.718536\pi\) |
0.773437 | + | 0.633873i | \(0.218536\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.46447 | + | 20.6066i | −0.0852645 | + | 1.19976i | ||||
\(296\) | −3.65685 | −0.212550 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 12.2426 | + | 12.2426i | 0.709197 | + | 0.709197i | ||||
\(299\) | 3.50981 | 0.202977 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −13.6569 | + | 6.12293i | −0.787168 | + | 0.352920i | ||||
\(302\) | −6.24264 | + | 6.24264i | −0.359224 | + | 0.359224i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.39942 | −0.0802621 | ||||||||
\(305\) | −14.3640 | − | 1.02082i | −0.822478 | − | 0.0584517i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 23.1626 | + | 23.1626i | 1.32196 | + | 1.32196i | 0.912186 | + | 0.409776i | \(0.134393\pi\) |
0.409776 | + | 0.912186i | \(0.365607\pi\) | |||||||
\(308\) | −6.99321 | − | 2.66364i | −0.398475 | − | 0.151775i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.58579 | − | 2.24264i | 0.146863 | − | 0.127373i | ||||
\(311\) | 3.43289i | 0.194661i | 0.995252 | + | 0.0973305i | \(0.0310304\pi\) | ||||
−0.995252 | + | 0.0973305i | \(0.968970\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.75699 | + | 6.75699i | −0.381927 | + | 0.381927i | −0.871796 | − | 0.489869i | \(-0.837045\pi\) |
0.489869 | + | 0.871796i | \(0.337045\pi\) | |||||||
\(314\) | 14.4650 | 0.816310 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.07107 | −0.285270 | ||||||||
\(317\) | −21.8995 | + | 21.8995i | −1.23000 | + | 1.23000i | −0.266035 | + | 0.963963i | \(0.585714\pi\) |
−0.963963 | + | 0.266035i | \(0.914286\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.34315i | 0.131191i | ||||||||
\(320\) | −2.23044 | − | 0.158513i | −0.124686 | − | 0.00886113i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.551658 | − | 1.44834i | 0.0307427 | − | 0.0807129i | ||||
\(323\) | 5.17157 | + | 5.17157i | 0.287754 | + | 0.287754i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 23.9665 | − | 17.9749i | 1.32942 | − | 0.997066i | ||||
\(326\) | 19.3137 | 1.06969 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.61313 | − | 2.61313i | 0.144286 | − | 0.144286i | ||||
\(329\) | 3.69552 | − | 1.65685i | 0.203741 | − | 0.0913453i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.3137 | 1.28144 | 0.640719 | − | 0.767776i | \(-0.278637\pi\) | ||||
0.640719 | + | 0.767776i | \(0.278637\pi\) | |||||||
\(332\) | 5.31911 | + | 5.31911i | 0.291924 | + | 0.291924i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.42742 | 0.132822 | ||||||||
\(335\) | 21.7248 | + | 25.0489i | 1.18695 | + | 1.36857i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.75736 | − | 3.75736i | 0.204676 | − | 0.204676i | −0.597324 | − | 0.802000i | \(-0.703769\pi\) |
0.802000 | + | 0.597324i | \(0.203769\pi\) | |||||||
\(338\) | −16.1924 | − | 16.1924i | −0.880750 | − | 0.880750i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 7.65685 | + | 8.82843i | 0.415251 | + | 0.478789i | ||||
\(341\) | 4.32957i | 0.234459i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.4357 | − | 8.53622i | 0.887445 | − | 0.460913i | ||||
\(344\) | − | 5.65685i | − | 0.304997i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 18.7946i | 1.01040i | ||||||||
\(347\) | 5.31371 | − | 5.31371i | 0.285255 | − | 0.285255i | −0.549946 | − | 0.835200i | \(-0.685352\pi\) |
0.835200 | + | 0.549946i | \(0.185352\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.66752 | 0.142789 | 0.0713945 | − | 0.997448i | \(-0.477255\pi\) | ||||
0.0713945 | + | 0.997448i | \(0.477255\pi\) | |||||||
\(350\) | −3.65046 | − | 12.7151i | −0.195125 | − | 0.679651i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.00000 | − | 2.00000i | 0.106600 | − | 0.106600i | ||||
\(353\) | −8.47343 | + | 8.47343i | −0.450995 | + | 0.450995i | −0.895685 | − | 0.444690i | \(-0.853314\pi\) |
0.444690 | + | 0.895685i | \(0.353314\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.0928546 | + | 1.30656i | −0.00492821 | + | 0.0693452i | ||||
\(356\) | 11.3492i | 0.601506i | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −9.65685 | − | 9.65685i | −0.510381 | − | 0.510381i | ||||
\(359\) | − | 16.9706i | − | 0.895672i | −0.894116 | − | 0.447836i | \(-0.852195\pi\) | ||
0.894116 | − | 0.447836i | \(-0.147805\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.0416 | −0.896928 | ||||||||
\(362\) | 6.21579 | + | 6.21579i | 0.326695 | + | 0.326695i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −14.4650 | + | 6.48528i | −0.758174 | + | 0.339921i | ||||
\(365\) | 8.58579 | + | 9.89949i | 0.449401 | + | 0.518163i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.06147 | + | 3.06147i | 0.159807 | + | 0.159807i | 0.782481 | − | 0.622674i | \(-0.213954\pi\) |
−0.622674 | + | 0.782481i | \(0.713954\pi\) | |||||||
\(368\) | 0.414214 | + | 0.414214i | 0.0215924 | + | 0.0215924i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8.15640 | + | 0.579658i | 0.424031 | + | 0.0301350i | ||||
\(371\) | −28.1421 | + | 12.6173i | −1.46107 | + | 0.655057i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −15.0711 | − | 15.0711i | −0.780350 | − | 0.780350i | 0.199539 | − | 0.979890i | \(-0.436055\pi\) |
−0.979890 | + | 0.199539i | \(0.936055\pi\) | |||||||
\(374\) | −14.7821 | −0.764363 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.53073i | 0.0789416i | ||||||||
\(377\) | 3.50981 | + | 3.50981i | 0.180764 | + | 0.180764i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 6.14214i | − | 0.315500i | −0.987479 | − | 0.157750i | \(-0.949576\pi\) | ||
0.987479 | − | 0.157750i | \(-0.0504241\pi\) | |||||||
\(380\) | 3.12132 | + | 0.221825i | 0.160120 | + | 0.0113794i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.24264 | + | 1.24264i | −0.0635790 | + | 0.0635790i | ||||
\(383\) | 10.6382 | − | 10.6382i | 0.543587 | − | 0.543587i | −0.380991 | − | 0.924579i | \(-0.624417\pi\) |
0.924579 | + | 0.380991i | \(0.124417\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 15.1757 | + | 7.04961i | 0.773427 | + | 0.359282i | ||||
\(386\) | 11.6569 | 0.593318 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.59220 | + | 4.59220i | −0.233134 | + | 0.233134i | ||||
\(389\) | 0.142136i | 0.00720656i | 0.999994 | + | 0.00360328i | \(0.00114696\pi\) | ||||
−0.999994 | + | 0.00360328i | \(0.998853\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 3.06147i | − | 0.154825i | ||||||
\(392\) | 0.402625 | + | 6.98841i | 0.0203356 | + | 0.352968i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0.828427i | 0.0417356i | ||||||||
\(395\) | 11.3107 | + | 0.803828i | 0.569104 | + | 0.0404450i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.12085 | + | 1.12085i | 0.0562540 | + | 0.0562540i | 0.734674 | − | 0.678420i | \(-0.237335\pi\) |
−0.678420 | + | 0.734674i | \(0.737335\pi\) | |||||||
\(398\) | 19.8226 | − | 19.8226i | 0.993618 | − | 0.993618i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.94975 | + | 0.707107i | 0.247487 | + | 0.0353553i | ||||
\(401\) | 19.7574 | 0.986635 | 0.493318 | − | 0.869849i | \(-0.335784\pi\) | ||||
0.493318 | + | 0.869849i | \(0.335784\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.48528 | + | 6.48528i | 0.323055 | + | 0.323055i | ||||
\(404\) | −2.74444 | −0.136541 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.00000 | − | 0.896683i | 0.0992583 | − | 0.0445016i | ||||
\(407\) | −7.31371 | + | 7.31371i | −0.362527 | + | 0.362527i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −24.9719 | −1.23478 | −0.617392 | − | 0.786656i | \(-0.711811\pi\) | ||||
−0.617392 | + | 0.786656i | \(0.711811\pi\) | |||||||
\(410\) | −6.24264 | + | 5.41421i | −0.308302 | + | 0.267389i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 10.0042 | + | 10.0042i | 0.492870 | + | 0.492870i | ||||
\(413\) | −8.70054 | + | 22.8427i | −0.428126 | + | 1.12401i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −11.0208 | − | 12.7071i | −0.540991 | − | 0.623767i | ||||
\(416\) | − | 5.99162i | − | 0.293763i | ||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.79884 | + | 2.79884i | −0.136895 | + | 0.136895i | ||||
\(419\) | −11.5893 | −0.566174 | −0.283087 | − | 0.959094i | \(-0.591358\pi\) | ||||
−0.283087 | + | 0.959094i | \(0.591358\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 17.7990 | 0.867470 | 0.433735 | − | 0.901041i | \(-0.357195\pi\) | ||||
0.433735 | + | 0.901041i | \(0.357195\pi\) | |||||||
\(422\) | −7.31371 | + | 7.31371i | −0.356026 | + | 0.356026i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | − | 11.6569i | − | 0.566107i | ||||||
\(425\) | −15.6788 | − | 20.9050i | −0.760531 | − | 1.01404i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −15.9226 | − | 6.06477i | −0.770550 | − | 0.293495i | ||||
\(428\) | −3.65685 | − | 3.65685i | −0.176761 | − | 0.176761i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.896683 | + | 12.6173i | −0.0432419 | + | 0.608460i | ||||
\(431\) | −5.65685 | −0.272481 | −0.136241 | − | 0.990676i | \(-0.543502\pi\) | ||||
−0.136241 | + | 0.990676i | \(0.543502\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.4525 | + | 10.4525i | −0.502315 | + | 0.502315i | −0.912157 | − | 0.409841i | \(-0.865584\pi\) |
0.409841 | + | 0.912157i | \(0.365584\pi\) | |||||||
\(434\) | 3.69552 | − | 1.65685i | 0.177391 | − | 0.0795315i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 12.1421 | 0.581503 | ||||||||
\(437\) | −0.579658 | − | 0.579658i | −0.0277288 | − | 0.0277288i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −13.8854 | −0.662713 | −0.331357 | − | 0.943506i | \(-0.607506\pi\) | ||||
−0.331357 | + | 0.943506i | \(0.607506\pi\) | |||||||
\(440\) | −4.77791 | + | 4.14386i | −0.227778 | + | 0.197551i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −22.1421 | + | 22.1421i | −1.05319 | + | 1.05319i | ||||
\(443\) | 4.14214 | + | 4.14214i | 0.196799 | + | 0.196799i | 0.798626 | − | 0.601827i | \(-0.205560\pi\) |
−0.601827 | + | 0.798626i | \(0.705560\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.79899 | − | 25.3137i | 0.0852803 | − | 1.19998i | ||||
\(446\) | − | 9.55582i | − | 0.452481i | ||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.47247 | − | 0.941740i | −0.116813 | − | 0.0444930i | ||||
\(449\) | 25.6569i | 1.21082i | 0.795913 | + | 0.605411i | \(0.206991\pi\) | ||||
−0.795913 | + | 0.605411i | \(0.793009\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 10.4525i | − | 0.492189i | ||||||
\(452\) | −1.17157 | + | 1.17157i | −0.0551062 | + | 0.0551062i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 11.8519 | 0.556238 | ||||||||
\(455\) | 33.2915 | − | 12.1722i | 1.56073 | − | 0.570639i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.65685 | + | 1.65685i | −0.0775044 | + | 0.0775044i | −0.744796 | − | 0.667292i | \(-0.767453\pi\) |
0.667292 | + | 0.744796i | \(0.267453\pi\) | |||||||
\(458\) | 5.45042 | − | 5.45042i | 0.254682 | − | 0.254682i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.858221 | − | 0.989538i | −0.0400148 | − | 0.0461374i | ||||
\(461\) | 34.0250i | 1.58470i | 0.610064 | + | 0.792352i | \(0.291144\pi\) | ||||
−0.610064 | + | 0.792352i | \(0.708856\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.9706 | − | 12.9706i | −0.602793 | − | 0.602793i | 0.338260 | − | 0.941053i | \(-0.390162\pi\) |
−0.941053 | + | 0.338260i | \(0.890162\pi\) | |||||||
\(464\) | 0.828427i | 0.0384588i | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.24264 | −0.196537 | ||||||||
\(467\) | −17.4337 | − | 17.4337i | −0.806734 | − | 0.806734i | 0.177404 | − | 0.984138i | \(-0.443230\pi\) |
−0.984138 | + | 0.177404i | \(0.943230\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.0502 | + | 35.7990i | 0.741128 | + | 1.65304i | ||||
\(470\) | 0.242641 | − | 3.41421i | 0.0111922 | − | 0.157486i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −6.53281 | − | 6.53281i | −0.300697 | − | 0.300697i | ||||
\(473\) | −11.3137 | − | 11.3137i | −0.520205 | − | 0.520205i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.92676 | − | 0.989538i | −0.317822 | − | 0.0454031i | ||||
\(476\) | 5.65685 | + | 12.6173i | 0.259281 | + | 0.578312i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −4.58579 | − | 4.58579i | −0.209749 | − | 0.209749i | ||||
\(479\) | 11.0866 | 0.506558 | 0.253279 | − | 0.967393i | \(-0.418491\pi\) | ||||
0.253279 | + | 0.967393i | \(0.418491\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 21.9105i | 0.999032i | ||||||||
\(482\) | 4.77791 | + | 4.77791i | 0.217628 | + | 0.217628i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.00000i | 0.136364i | ||||||||
\(485\) | 10.9706 | − | 9.51472i | 0.498148 | − | 0.432041i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.10051 | − | 1.10051i | 0.0498686 | − | 0.0498686i | −0.681733 | − | 0.731601i | \(-0.738773\pi\) |
0.731601 | + | 0.681733i | \(0.238773\pi\) | |||||||
\(488\) | 4.55374 | − | 4.55374i | 0.206138 | − | 0.206138i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.209720 | − | 15.6511i | 0.00947418 | − | 0.707043i | ||||
\(491\) | −25.1716 | −1.13598 | −0.567989 | − | 0.823036i | \(-0.692278\pi\) | ||||
−0.567989 | + | 0.823036i | \(0.692278\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.06147 | − | 3.06147i | 0.137882 | − | 0.137882i | ||||
\(494\) | 8.38478i | 0.377249i | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.53073i | 0.0687320i | ||||||||
\(497\) | −0.551658 | + | 1.44834i | −0.0247453 | + | 0.0649670i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 7.51472i | − | 0.336405i | −0.985752 | − | 0.168203i | \(-0.946204\pi\) | ||
0.985752 | − | 0.168203i | \(-0.0537963\pi\) | |||||||
\(500\) | −10.9280 | − | 2.36176i | −0.488717 | − | 0.105621i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −9.96570 | − | 9.96570i | −0.444791 | − | 0.444791i | ||||
\(503\) | −18.1062 | + | 18.1062i | −0.807314 | + | 0.807314i | −0.984227 | − | 0.176912i | \(-0.943389\pi\) |
0.176912 | + | 0.984227i | \(0.443389\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.12132 | + | 0.435029i | 0.272395 | + | 0.0193585i | ||||
\(506\) | 1.65685 | 0.0736562 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.58579 | − | 3.58579i | −0.159094 | − | 0.159094i | ||||
\(509\) | −14.4650 | −0.641152 | −0.320576 | − | 0.947223i | \(-0.603876\pi\) | ||||
−0.320576 | + | 0.947223i | \(0.603876\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.34315 | + | 14.1480i | 0.280604 | + | 0.625872i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 11.0866 | 0.489007 | ||||||||
\(515\) | −20.7279 | − | 23.8995i | −0.913381 | − | 1.05314i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.06147 | + | 3.06147i | 0.134643 | + | 0.134643i | ||||
\(518\) | 9.04148 | + | 3.44381i | 0.397260 | + | 0.151312i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.949747 | + | 13.3640i | −0.0416492 | + | 0.586048i | ||||
\(521\) | − | 36.6925i | − | 1.60753i | −0.594947 | − | 0.803765i | \(-0.702827\pi\) | ||
0.594947 | − | 0.803765i | \(-0.297173\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.75490 | − | 1.75490i | 0.0767366 | − | 0.0767366i | −0.667697 | − | 0.744433i | \(-0.732720\pi\) |
0.744433 | + | 0.667697i | \(0.232720\pi\) | |||||||
\(524\) | −14.6508 | −0.640021 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 27.4558 | 1.19713 | ||||||||
\(527\) | 5.65685 | − | 5.65685i | 0.246416 | − | 0.246416i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 22.6569i | − | 0.985081i | ||||||
\(530\) | −1.84776 | + | 25.9999i | −0.0802615 | + | 1.12937i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.46002 | + | 1.31789i | 0.150011 | + | 0.0571377i | ||||
\(533\) | −15.6569 | − | 15.6569i | −0.678174 | − | 0.678174i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.57675 | + | 8.73606i | 0.327571 | + | 0.377693i | ||||
\(536\) | −14.8284 | −0.640490 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 19.0188 | − | 19.0188i | 0.819958 | − | 0.819958i | ||||
\(539\) | 14.7821 | + | 13.1716i | 0.636709 | + | 0.567340i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.9706 | 0.471661 | 0.235831 | − | 0.971794i | \(-0.424219\pi\) | ||||
0.235831 | + | 0.971794i | \(0.424219\pi\) | |||||||
\(542\) | −13.2513 | − | 13.2513i | −0.569194 | − | 0.569194i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.22625 | −0.224074 | ||||||||
\(545\) | −27.0823 | − | 1.92468i | −1.16008 | − | 0.0824443i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −30.6274 | + | 30.6274i | −1.30953 | + | 1.30953i | −0.387783 | + | 0.921751i | \(0.626759\pi\) |
−0.921751 | + | 0.387783i | \(0.873241\pi\) | |||||||
\(548\) | −8.17157 | − | 8.17157i | −0.349072 | − | 0.349072i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 11.3137 | − | 8.48528i | 0.482418 | − | 0.361814i | ||||
\(551\) | − | 1.15932i | − | 0.0493885i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.5381 | + | 4.77563i | 0.533173 | + | 0.203080i | ||||
\(554\) | 2.48528i | 0.105589i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 8.60474i | 0.364922i | ||||||||
\(557\) | 26.7279 | − | 26.7279i | 1.13250 | − | 1.13250i | 0.142738 | − | 0.989761i | \(-0.454409\pi\) |
0.989761 | − | 0.142738i | \(-0.0455906\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −33.8937 | −1.43355 | ||||||||
\(560\) | 5.36543 | + | 2.49242i | 0.226731 | + | 0.105324i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.00000 | − | 4.00000i | 0.168730 | − | 0.168730i | ||||
\(563\) | −3.54827 | + | 3.54827i | −0.149542 | + | 0.149542i | −0.777913 | − | 0.628372i | \(-0.783722\pi\) |
0.628372 | + | 0.777913i | \(0.283722\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.79884 | − | 2.42742i | 0.117748 | − | 0.102122i | ||||
\(566\) | − | 4.46088i | − | 0.187505i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.414214 | − | 0.414214i | −0.0173800 | − | 0.0173800i | ||||
\(569\) | 1.41421i | 0.0592869i | 0.999561 | + | 0.0296435i | \(0.00943719\pi\) | ||||
−0.999561 | + | 0.0296435i | \(0.990563\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −25.4558 | −1.06529 | −0.532647 | − | 0.846338i | \(-0.678803\pi\) | ||||
−0.532647 | + | 0.846338i | \(0.678803\pi\) | |||||||
\(572\) | −11.9832 | − | 11.9832i | −0.501044 | − | 0.501044i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −8.92177 | + | 4.00000i | −0.372387 | + | 0.166957i | ||||
\(575\) | 1.75736 | + | 2.34315i | 0.0732869 | + | 0.0977159i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −26.3170 | − | 26.3170i | −1.09559 | − | 1.09559i | −0.994920 | − | 0.100670i | \(-0.967901\pi\) |
−0.100670 | − | 0.994920i | \(-0.532099\pi\) | |||||||
\(578\) | 7.29289 | + | 7.29289i | 0.303344 | + | 0.303344i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.131316 | − | 1.84776i | 0.00545261 | − | 0.0767240i | ||||
\(581\) | −8.14214 | − | 18.1606i | −0.337793 | − | 0.753427i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −23.3137 | − | 23.3137i | −0.965555 | − | 0.965555i | ||||
\(584\) | −5.86030 | −0.242501 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 3.37849i | − | 0.139564i | ||||||
\(587\) | −16.0886 | − | 16.0886i | −0.664049 | − | 0.664049i | 0.292283 | − | 0.956332i | \(-0.405585\pi\) |
−0.956332 | + | 0.292283i | \(0.905585\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 2.14214i | − | 0.0882652i | ||||||
\(590\) | 13.5355 | + | 15.6066i | 0.557249 | + | 0.642514i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.58579 | + | 2.58579i | −0.106275 | + | 0.106275i | ||||
\(593\) | 22.8841 | − | 22.8841i | 0.939737 | − | 0.939737i | −0.0585480 | − | 0.998285i | \(-0.518647\pi\) |
0.998285 | + | 0.0585480i | \(0.0186471\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.6173 | − | 29.0388i | −0.435266 | − | 1.19048i | ||||
\(596\) | 17.3137 | 0.709197 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 2.48181 | − | 2.48181i | 0.101489 | − | 0.101489i | ||||
\(599\) | 18.5269i | 0.756989i | 0.925604 | + | 0.378495i | \(0.123558\pi\) | ||||
−0.925604 | + | 0.378495i | \(0.876442\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 16.5754i | − | 0.676126i | −0.941123 | − | 0.338063i | \(-0.890228\pi\) | ||
0.941123 | − | 0.338063i | \(-0.109772\pi\) | |||||||
\(602\) | −5.32729 | + | 13.9864i | −0.217124 | + | 0.570044i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.82843i | 0.359224i | ||||||||
\(605\) | 0.475538 | − | 6.69133i | 0.0193334 | − | 0.272041i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −21.5391 | − | 21.5391i | −0.874243 | − | 0.874243i | 0.118688 | − | 0.992932i | \(-0.462131\pi\) |
−0.992932 | + | 0.118688i | \(0.962131\pi\) | |||||||
\(608\) | −0.989538 | + | 0.989538i | −0.0401311 | + | 0.0401311i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −10.8787 | + | 9.43503i | −0.440465 | + | 0.382013i | ||||
\(611\) | 9.17157 | 0.371042 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 19.8995 | + | 19.8995i | 0.803733 | + | 0.803733i | 0.983677 | − | 0.179944i | \(-0.0575916\pi\) |
−0.179944 | + | 0.983677i | \(0.557592\pi\) | |||||||
\(614\) | 32.7569 | 1.32196 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.82843 | + | 3.06147i | −0.275125 | + | 0.123350i | ||||
\(617\) | 28.4853 | − | 28.4853i | 1.14677 | − | 1.14677i | 0.159591 | − | 0.987183i | \(-0.448982\pi\) |
0.987183 | − | 0.159591i | \(-0.0510176\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.688444 | −0.0276709 | −0.0138354 | − | 0.999904i | \(-0.504404\pi\) | ||||
−0.0138354 | + | 0.999904i | \(0.504404\pi\) | |||||||
\(620\) | 0.242641 | − | 3.41421i | 0.00974468 | − | 0.137118i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 2.42742 | + | 2.42742i | 0.0973305 | + | 0.0973305i | ||||
\(623\) | 10.6880 | − | 28.0606i | 0.428205 | − | 1.12422i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 24.0000 | + | 7.00000i | 0.960000 | + | 0.280000i | ||||
\(626\) | 9.55582i | 0.381927i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 10.2283 | − | 10.2283i | 0.408155 | − | 0.408155i | ||||
\(629\) | 19.1116 | 0.762031 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 41.3553 | 1.64633 | 0.823165 | − | 0.567802i | \(-0.192206\pi\) | ||||
0.823165 | + | 0.567802i | \(0.192206\pi\) | |||||||
\(632\) | −3.58579 | + | 3.58579i | −0.142635 | + | 0.142635i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 30.9706i | 1.23000i | ||||||||
\(635\) | 7.42950 | + | 8.56628i | 0.294831 | + | 0.339943i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 41.8719 | − | 2.41237i | 1.65902 | − | 0.0955818i | ||||
\(638\) | 1.65685 | + | 1.65685i | 0.0655955 | + | 0.0655955i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.68925 | + | 1.46508i | −0.0667733 | + | 0.0579122i | ||||
\(641\) | 37.2132 | 1.46983 | 0.734917 | − | 0.678158i | \(-0.237221\pi\) | ||||
0.734917 | + | 0.678158i | \(0.237221\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −20.9435 | + | 20.9435i | −0.825930 | + | 0.825930i | −0.986951 | − | 0.161021i | \(-0.948521\pi\) |
0.161021 | + | 0.986951i | \(0.448521\pi\) | |||||||
\(644\) | −0.634051 | − | 1.41421i | −0.0249851 | − | 0.0557278i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.31371 | 0.287754 | ||||||||
\(647\) | −23.8896 | − | 23.8896i | −0.939195 | − | 0.939195i | 0.0590593 | − | 0.998254i | \(-0.481190\pi\) |
−0.998254 | + | 0.0590593i | \(0.981190\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −26.1313 | −1.02574 | ||||||||
\(650\) | 4.23671 | − | 29.6570i | 0.166178 | − | 1.16324i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 13.6569 | − | 13.6569i | 0.534844 | − | 0.534844i | ||||
\(653\) | −8.72792 | − | 8.72792i | −0.341550 | − | 0.341550i | 0.515400 | − | 0.856950i | \(-0.327643\pi\) |
−0.856950 | + | 0.515400i | \(0.827643\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 32.6777 | + | 2.32233i | 1.27682 | + | 0.0907410i | ||||
\(656\) | − | 3.69552i | − | 0.144286i | ||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.44155 | − | 3.78470i | 0.0561976 | − | 0.147543i | ||||
\(659\) | − | 29.6569i | − | 1.15527i | −0.816296 | − | 0.577634i | \(-0.803976\pi\) | ||
0.816296 | − | 0.577634i | \(-0.196024\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 47.5390i | − | 1.84905i | −0.381118 | − | 0.924526i | \(-0.624461\pi\) | ||
0.381118 | − | 0.924526i | \(-0.375539\pi\) | |||||||
\(662\) | 16.4853 | − | 16.4853i | 0.640719 | − | 0.640719i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 7.52235 | 0.291924 | ||||||||
\(665\) | −7.50848 | − | 3.48793i | −0.291166 | − | 0.135256i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.343146 | + | 0.343146i | −0.0132867 | + | 0.0132867i | ||||
\(668\) | 1.71644 | − | 1.71644i | 0.0664112 | − | 0.0664112i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 33.0740 | + | 2.35049i | 1.27776 | + | 0.0908075i | ||||
\(671\) | − | 18.2150i | − | 0.703181i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −22.7990 | − | 22.7990i | −0.878836 | − | 0.878836i | 0.114578 | − | 0.993414i | \(-0.463448\pi\) |
−0.993414 | + | 0.114578i | \(0.963448\pi\) | |||||||
\(674\) | − | 5.31371i | − | 0.204676i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −22.8995 | −0.880750 | ||||||||
\(677\) | 22.4742 | + | 22.4742i | 0.863754 | + | 0.863754i | 0.991772 | − | 0.128018i | \(-0.0408615\pi\) |
−0.128018 | + | 0.991772i | \(0.540862\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 15.6788 | − | 7.02944i | 0.601695 | − | 0.269765i | ||||
\(680\) | 11.6569 | + | 0.828427i | 0.447020 | + | 0.0317687i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.06147 | + | 3.06147i | 0.117230 | + | 0.117230i | ||||
\(683\) | 25.3137 | + | 25.3137i | 0.968602 | + | 0.968602i | 0.999522 | − | 0.0309197i | \(-0.00984363\pi\) |
−0.0309197 | + | 0.999522i | \(0.509844\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 16.9309 | + | 19.5215i | 0.646897 | + | 0.745879i | ||||
\(686\) | 5.58579 | − | 17.6578i | 0.213266 | − | 0.674179i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.00000 | − | 4.00000i | −0.152499 | − | 0.152499i | ||||
\(689\) | −69.8434 | −2.66082 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 25.1033i | − | 0.954973i | −0.878639 | − | 0.477487i | \(-0.841548\pi\) | ||
0.878639 | − | 0.477487i | \(-0.158452\pi\) | |||||||
\(692\) | 13.2898 | + | 13.2898i | 0.505202 | + | 0.505202i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 7.51472i | − | 0.285255i | ||||||
\(695\) | 1.36396 | − | 19.1924i | 0.0517380 | − | 0.728009i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −13.6569 | + | 13.6569i | −0.517290 | + | 0.517290i | ||||
\(698\) | 1.88622 | − | 1.88622i | 0.0713945 | − | 0.0713945i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −11.5722 | − | 6.40968i | −0.437388 | − | 0.242263i | ||||
\(701\) | 13.1127 | 0.495260 | 0.247630 | − | 0.968855i | \(-0.420348\pi\) | ||||
0.247630 | + | 0.968855i | \(0.420348\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.61859 | − | 3.61859i | 0.136478 | − | 0.136478i | ||||
\(704\) | − | 2.82843i | − | 0.106600i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 11.9832i | 0.450995i | ||||||||
\(707\) | 6.78556 | + | 2.58455i | 0.255197 | + | 0.0972020i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 41.3137i | 1.55157i | 0.630998 | + | 0.775784i | \(0.282646\pi\) | ||||
−0.630998 | + | 0.775784i | \(0.717354\pi\) | |||||||
\(710\) | 0.858221 | + | 0.989538i | 0.0322085 | + | 0.0371367i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.02509 | + | 8.02509i | 0.300753 | + | 0.300753i | ||||
\(713\) | −0.634051 | + | 0.634051i | −0.0237454 | + | 0.0237454i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 24.8284 | + | 28.6274i | 0.928531 | + | 1.07060i | ||||
\(716\) | −13.6569 | −0.510381 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −12.0000 | − | 12.0000i | −0.447836 | − | 0.447836i | ||||
\(719\) | −43.7122 | −1.63019 | −0.815094 | − | 0.579328i | \(-0.803315\pi\) | ||||
−0.815094 | + | 0.579328i | \(0.803315\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.3137 | − | 34.1563i | −0.570312 | − | 1.27205i | ||||
\(722\) | −12.0503 | + | 12.0503i | −0.448464 | + | 0.448464i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 8.79045 | 0.326695 | ||||||||
\(725\) | −0.585786 | + | 4.10051i | −0.0217556 | + | 0.152289i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −22.8841 | − | 22.8841i | −0.848724 | − | 0.848724i | 0.141250 | − | 0.989974i | \(-0.454888\pi\) |
−0.989974 | + | 0.141250i | \(0.954888\pi\) | |||||||
\(728\) | −5.64255 | + | 14.8141i | −0.209127 | + | 0.549048i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 13.0711 | + | 0.928932i | 0.483782 | + | 0.0343813i | ||||
\(731\) | 29.5641i | 1.09347i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 21.9489 | − | 21.9489i | 0.810703 | − | 0.810703i | −0.174037 | − | 0.984739i | \(-0.555681\pi\) |
0.984739 | + | 0.174037i | \(0.0556811\pi\) | |||||||
\(734\) | 4.32957 | 0.159807 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.585786 | 0.0215924 | ||||||||
\(737\) | −29.6569 | + | 29.6569i | −1.09242 | + | 1.09242i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 9.65685i | 0.355233i | 0.984100 | + | 0.177617i | \(0.0568387\pi\) | ||||
−0.984100 | + | 0.177617i | \(0.943161\pi\) | |||||||
\(740\) | 6.17733 | − | 5.35757i | 0.227083 | − | 0.196948i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10.9777 | + | 28.8213i | −0.403005 | + | 1.05806i | ||||
\(743\) | −27.0416 | − | 27.0416i | −0.992061 | − | 0.992061i | 0.00790753 | − | 0.999969i | \(-0.497483\pi\) |
−0.999969 | + | 0.00790753i | \(0.997483\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −38.6172 | − | 2.74444i | −1.41483 | − | 0.100549i | ||||
\(746\) | −21.3137 | −0.780350 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −10.4525 | + | 10.4525i | −0.382181 | + | 0.382181i | ||||
\(749\) | 5.59767 | + | 12.4853i | 0.204534 | + | 0.456202i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.48528 | −0.0906892 | −0.0453446 | − | 0.998971i | \(-0.514439\pi\) | ||||
−0.0453446 | + | 0.998971i | \(0.514439\pi\) | |||||||
\(752\) | 1.08239 | + | 1.08239i | 0.0394708 | + | 0.0394708i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.96362 | 0.180764 | ||||||||
\(755\) | 1.39942 | − | 19.6913i | 0.0509300 | − | 0.716640i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 7.89949 | − | 7.89949i | 0.287112 | − | 0.287112i | −0.548825 | − | 0.835937i | \(-0.684925\pi\) |
0.835937 | + | 0.548825i | \(0.184925\pi\) | |||||||
\(758\) | −4.34315 | − | 4.34315i | −0.157750 | − | 0.157750i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.36396 | − | 2.05025i | 0.0857499 | − | 0.0743705i | ||||
\(761\) | 26.3939i | 0.956778i | 0.878148 | + | 0.478389i | \(0.158779\pi\) | ||||
−0.878148 | + | 0.478389i | \(0.841221\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −30.0211 | − | 11.4347i | −1.08684 | − | 0.413965i | ||||
\(764\) | 1.75736i | 0.0635790i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 15.0447i | − | 0.543587i | ||||||
\(767\) | −39.1421 | + | 39.1421i | −1.41334 | + | 1.41334i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −17.5809 | −0.633984 | −0.316992 | − | 0.948428i | \(-0.602673\pi\) | ||||
−0.316992 | + | 0.948428i | \(0.602673\pi\) | |||||||
\(770\) | 15.7157 | − | 5.74603i | 0.566354 | − | 0.207073i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 8.24264 | − | 8.24264i | 0.296659 | − | 0.296659i | ||||
\(773\) | 14.6892 | − | 14.6892i | 0.528334 | − | 0.528334i | −0.391741 | − | 0.920076i | \(-0.628127\pi\) |
0.920076 | + | 0.391741i | \(0.128127\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.08239 | + | 7.57675i | −0.0388807 | + | 0.272165i | ||||
\(776\) | 6.49435i | 0.233134i | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0.100505 | + | 0.100505i | 0.00360328 | + | 0.00360328i | ||||
\(779\) | 5.17157i | 0.185291i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.65685 | −0.0592869 | ||||||||
\(782\) | −2.16478 | − | 2.16478i | −0.0774125 | − | 0.0774125i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 5.22625 | + | 4.65685i | 0.186652 | + | 0.166316i | ||||
\(785\) | −24.4350 | + | 21.1924i | −0.872124 | + | 0.756389i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 24.3764 | + | 24.3764i | 0.868923 | + | 0.868923i | 0.992353 | − | 0.123430i | \(-0.0393895\pi\) |
−0.123430 | + | 0.992353i | \(0.539389\pi\) | |||||||
\(788\) | 0.585786 | + | 0.585786i | 0.0208678 | + | 0.0208678i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 8.56628 | − | 7.42950i | 0.304775 | − | 0.264330i | ||||
\(791\) | 4.00000 | − | 1.79337i | 0.142224 | − | 0.0637648i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −27.2843 | − | 27.2843i | −0.968893 | − | 0.968893i | ||||
\(794\) | 1.58513 | 0.0562540 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | − | 28.0334i | − | 0.993618i | ||||||
\(797\) | −16.6683 | − | 16.6683i | −0.590421 | − | 0.590421i | 0.347324 | − | 0.937745i | \(-0.387090\pi\) |
−0.937745 | + | 0.347324i | \(0.887090\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 8.00000i | − | 0.283020i | ||||||
\(800\) | 4.00000 | − | 3.00000i | 0.141421 | − | 0.106066i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 13.9706 | − | 13.9706i | 0.493318 | − | 0.493318i | ||||
\(803\) | −11.7206 | + | 11.7206i | −0.413611 | + | 0.413611i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.19004 | + | 3.25483i | 0.0419435 | + | 0.114718i | ||||
\(806\) | 9.17157 | 0.323055 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.94061 | + | 1.94061i | −0.0682705 | + | 0.0682705i | ||||
\(809\) | 33.8995i | 1.19184i | 0.803043 | + | 0.595921i | \(0.203213\pi\) | ||||
−0.803043 | + | 0.595921i | \(0.796787\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 50.6005i | 1.77682i | 0.459048 | + | 0.888411i | \(0.348191\pi\) | ||||
−0.459048 | + | 0.888411i | \(0.651809\pi\) | |||||||
\(812\) | 0.780163 | − | 2.04826i | 0.0273784 | − | 0.0718800i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 10.3431i | 0.362527i | ||||||||
\(815\) | −32.6256 | + | 28.2960i | −1.14283 | + | 0.991167i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.59767 | + | 5.59767i | 0.195838 | + | 0.195838i | ||||
\(818\) | −17.6578 | + | 17.6578i | −0.617392 | + | 0.617392i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.585786 | + | 8.24264i | −0.0204565 | + | 0.287845i | ||||
\(821\) | 34.4853 | 1.20354 | 0.601772 | − | 0.798668i | \(-0.294461\pi\) | ||||
0.601772 | + | 0.798668i | \(0.294461\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.34315 | − | 2.34315i | −0.0816769 | − | 0.0816769i | 0.665088 | − | 0.746765i | \(-0.268394\pi\) |
−0.746765 | + | 0.665088i | \(0.768394\pi\) | |||||||
\(824\) | 14.1480 | 0.492870 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 10.0000 | + | 22.3044i | 0.347945 | + | 0.776070i | ||||
\(827\) | 7.51472 | − | 7.51472i | 0.261312 | − | 0.261312i | −0.564275 | − | 0.825587i | \(-0.690844\pi\) |
0.825587 | + | 0.564275i | \(0.190844\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −40.8589 | −1.41909 | −0.709545 | − | 0.704660i | \(-0.751099\pi\) | ||||
−0.709545 | + | 0.704660i | \(0.751099\pi\) | |||||||
\(830\) | −16.7782 | − | 1.19239i | −0.582379 | − | 0.0413884i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −4.23671 | − | 4.23671i | −0.146882 | − | 0.146882i | ||||
\(833\) | −2.10422 | − | 36.5232i | −0.0729069 | − | 1.26545i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.10051 | + | 3.55635i | −0.141904 | + | 0.123073i | ||||
\(836\) | 3.95815i | 0.136895i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −8.19486 | + | 8.19486i | −0.283087 | + | 0.283087i | ||||
\(839\) | 20.6424 | 0.712654 | 0.356327 | − | 0.934361i | \(-0.384029\pi\) | ||||
0.356327 | + | 0.934361i | \(0.384029\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 28.3137 | 0.976335 | ||||||||
\(842\) | 12.5858 | − | 12.5858i | 0.433735 | − | 0.433735i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 10.3431i | 0.356026i | ||||||||
\(845\) | 51.0760 | + | 3.62986i | 1.75707 | + | 0.124871i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 2.82522 | − | 7.41742i | 0.0970757 | − | 0.254866i | ||||
\(848\) | −8.24264 | − | 8.24264i | −0.283053 | − | 0.283053i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −25.8686 | − | 3.69552i | −0.887287 | − | 0.126755i | ||||
\(851\) | −2.14214 | −0.0734315 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 26.7268 | − | 26.7268i | 0.915110 | − | 0.915110i | −0.0815587 | − | 0.996669i | \(-0.525990\pi\) |
0.996669 | + | 0.0815587i | \(0.0259898\pi\) | |||||||
\(854\) | −15.5474 | + | 6.97056i | −0.532022 | + | 0.238528i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −5.17157 | −0.176761 | ||||||||
\(857\) | −11.4580 | − | 11.4580i | −0.391397 | − | 0.391397i | 0.483788 | − | 0.875185i | \(-0.339261\pi\) |
−0.875185 | + | 0.483788i | \(0.839261\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 40.6732 | 1.38775 | 0.693876 | − | 0.720094i | \(-0.255901\pi\) | ||||
0.693876 | + | 0.720094i | \(0.255901\pi\) | |||||||
\(860\) | 8.28772 | + | 9.55582i | 0.282609 | + | 0.325851i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −4.00000 | + | 4.00000i | −0.136241 | + | 0.136241i | ||||
\(863\) | 2.44365 | + | 2.44365i | 0.0831828 | + | 0.0831828i | 0.747474 | − | 0.664291i | \(-0.231266\pi\) |
−0.664291 | + | 0.747474i | \(0.731266\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −27.5355 | − | 31.7487i | −0.936236 | − | 1.07949i | ||||
\(866\) | 14.7821i | 0.502315i | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.44155 | − | 3.78470i | 0.0489295 | − | 0.128461i | ||||
\(869\) | 14.3431i | 0.486558i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 88.8463i | 3.01044i | ||||||||
\(872\) | 8.58579 | − | 8.58579i | 0.290751 | − | 0.290751i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.819760 | −0.0277288 | ||||||||
\(875\) | 24.7951 | + | 16.1308i | 0.838228 | + | 0.545319i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −21.5563 | + | 21.5563i | −0.727906 | + | 0.727906i | −0.970202 | − | 0.242296i | \(-0.922099\pi\) |
0.242296 | + | 0.970202i | \(0.422099\pi\) | |||||||
\(878\) | −9.81845 | + | 9.81845i | −0.331357 | + | 0.331357i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.448342 | + | 6.30864i | −0.0151136 | + | 0.212664i | ||||
\(881\) | 13.5140i | 0.455297i | 0.973743 | + | 0.227649i | \(0.0731038\pi\) | ||||
−0.973743 | + | 0.227649i | \(0.926896\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −28.8284 | − | 28.8284i | −0.970154 | − | 0.970154i | 0.0294135 | − | 0.999567i | \(-0.490636\pi\) |
−0.999567 | + | 0.0294135i | \(0.990636\pi\) | |||||||
\(884\) | 31.3137i | 1.05319i | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5.85786 | 0.196799 | ||||||||
\(887\) | 32.5487 | + | 32.5487i | 1.09288 | + | 1.09288i | 0.995220 | + | 0.0976580i | \(0.0311351\pi\) |
0.0976580 | + | 0.995220i | \(0.468865\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 5.48888 | + | 12.2426i | 0.184091 | + | 0.410605i | ||||
\(890\) | −16.6274 | − | 19.1716i | −0.557352 | − | 0.642633i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −6.75699 | − | 6.75699i | −0.226241 | − | 0.226241i | ||||
\(893\) | −1.51472 | − | 1.51472i | −0.0506881 | − | 0.0506881i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 30.4608 | + | 2.16478i | 1.01819 | + | 0.0723608i | ||||
\(896\) | −2.41421 | + | 1.08239i | −0.0806532 | + | 0.0361602i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 18.1421 | + | 18.1421i | 0.605411 | + | 0.605411i | ||||
\(899\) | −1.26810 | −0.0422935 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 60.9217i | 2.02959i | ||||||||
\(902\) | −7.39104 | − | 7.39104i | −0.246095 | − | 0.246095i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.65685i | 0.0551062i | ||||||||
\(905\) | −19.6066 | − | 1.39340i | −0.651745 | − | 0.0463181i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11.1716 | − | 11.1716i | 0.370946 | − | 0.370946i | −0.496876 | − | 0.867822i | \(-0.665520\pi\) |
0.867822 | + | 0.496876i | \(0.165520\pi\) | |||||||
\(908\) | 8.38057 | − | 8.38057i | 0.278119 | − | 0.278119i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 14.9336 | − | 32.1476i | 0.495044 | − | 1.06568i | ||||
\(911\) | 28.1421 | 0.932391 | 0.466195 | − | 0.884682i | \(-0.345624\pi\) | ||||
0.466195 | + | 0.884682i | \(0.345624\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 15.0447 | − | 15.0447i | 0.497907 | − | 0.497907i | ||||
\(914\) | 2.34315i | 0.0775044i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 7.70806i | − | 0.254682i | ||||||
\(917\) | 36.2236 | + | 13.7972i | 1.19621 | + | 0.455624i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 8.38478i | − | 0.276588i | −0.990391 | − | 0.138294i | \(-0.955838\pi\) | ||
0.990391 | − | 0.138294i | \(-0.0441619\pi\) | |||||||
\(920\) | −1.30656 | − | 0.0928546i | −0.0430761 | − | 0.00306132i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 24.0593 | + | 24.0593i | 0.792352 | + | 0.792352i | ||||
\(923\) | −2.48181 | + | 2.48181i | −0.0816898 | + | 0.0816898i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.6274 | + | 10.9706i | −0.480947 | + | 0.360710i | ||||
\(926\) | −18.3431 | −0.602793 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.585786 | + | 0.585786i | 0.0192294 | + | 0.0192294i | ||||
\(929\) | 33.2597 | 1.09121 | 0.545607 | − | 0.838041i | \(-0.316299\pi\) | ||||
0.545607 | + | 0.838041i | \(0.316299\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −7.31371 | − | 6.51688i | −0.239697 | − | 0.213582i | ||||
\(932\) | −3.00000 | + | 3.00000i | −0.0982683 | + | 0.0982683i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −24.6549 | −0.806734 | ||||||||
\(935\) | 24.9706 | − | 21.6569i | 0.816625 | − | 0.708255i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −17.7666 | − | 17.7666i | −0.580410 | − | 0.580410i | 0.354606 | − | 0.935016i | \(-0.384615\pi\) |
−0.935016 | + | 0.354606i | \(0.884615\pi\) | |||||||
\(938\) | 36.6629 | + | 13.9645i | 1.19709 | + | 0.455958i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.24264 | − | 2.58579i | −0.0731469 | − | 0.0843391i | ||||
\(941\) | − | 23.3099i | − | 0.759881i | −0.925011 | − | 0.379940i | \(-0.875944\pi\) | ||
0.925011 | − | 0.379940i | \(-0.124056\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.53073 | − | 1.53073i | 0.0498475 | − | 0.0498475i | ||||
\(944\) | −9.23880 | −0.300697 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −16.0000 | −0.520205 | ||||||||
\(947\) | −22.9706 | + | 22.9706i | −0.746443 | + | 0.746443i | −0.973809 | − | 0.227366i | \(-0.926989\pi\) |
0.227366 | + | 0.973809i | \(0.426989\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 35.1127i | 1.13981i | ||||||||
\(950\) | −5.59767 | + | 4.19825i | −0.181612 | + | 0.136209i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 12.9218 | + | 4.92177i | 0.418797 | + | 0.159515i | ||||
\(953\) | −23.1421 | − | 23.1421i | −0.749647 | − | 0.749647i | 0.224766 | − | 0.974413i | \(-0.427838\pi\) |
−0.974413 | + | 0.224766i | \(0.927838\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.278564 | − | 3.91969i | 0.00901411 | − | 0.126838i | ||||
\(956\) | −6.48528 | −0.209749 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 7.83938 | − | 7.83938i | 0.253279 | − | 0.253279i | ||||
\(959\) | 12.5085 | + | 27.8995i | 0.403921 | + | 0.900922i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 28.6569 | 0.924415 | ||||||||
\(962\) | 15.4930 | + | 15.4930i | 0.499516 | + | 0.499516i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 6.75699 | 0.217628 | ||||||||
\(965\) | −19.6913 | + | 17.0782i | −0.633885 | + | 0.549766i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.21320 | + | 2.21320i | −0.0711718 | + | 0.0711718i | −0.741797 | − | 0.670625i | \(-0.766026\pi\) |
0.670625 | + | 0.741797i | \(0.266026\pi\) | |||||||
\(968\) | 2.12132 | + | 2.12132i | 0.0681818 | + | 0.0681818i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.02944 | − | 14.4853i | 0.0330532 | − | 0.465094i | ||||
\(971\) | 18.5320i | 0.594720i | 0.954765 | + | 0.297360i | \(0.0961061\pi\) | ||||
−0.954765 | + | 0.297360i | \(0.903894\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 8.10343 | − | 21.2750i | 0.259784 | − | 0.682045i | ||||
\(974\) | − | 1.55635i | − | 0.0498686i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | − | 6.43996i | − | 0.206138i | ||||||
\(977\) | 25.8284 | − | 25.8284i | 0.826325 | − | 0.826325i | −0.160682 | − | 0.987006i | \(-0.551369\pi\) |
0.987006 | + | 0.160682i | \(0.0513693\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 32.1003 | 1.02593 | ||||||||
\(980\) | −10.9187 | − | 11.2153i | −0.348785 | − | 0.358259i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −17.7990 | + | 17.7990i | −0.567989 | + | 0.567989i | ||||
\(983\) | −28.7444 | + | 28.7444i | −0.916804 | + | 0.916804i | −0.996796 | − | 0.0799920i | \(-0.974511\pi\) |
0.0799920 | + | 0.996796i | \(0.474511\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.21371 | − | 1.39942i | −0.0386720 | − | 0.0445892i | ||||
\(986\) | − | 4.32957i | − | 0.137882i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 5.92893 | + | 5.92893i | 0.188624 | + | 0.188624i | ||||
\(989\) | − | 3.31371i | − | 0.105370i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −32.5858 | −1.03512 | −0.517561 | − | 0.855646i | \(-0.673160\pi\) | ||||
−0.517561 | + | 0.855646i | \(0.673160\pi\) | |||||||
\(992\) | 1.08239 | + | 1.08239i | 0.0343660 | + | 0.0343660i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.634051 | + | 1.41421i | 0.0201109 | + | 0.0448561i | ||||
\(995\) | −4.44365 | + | 62.5269i | −0.140873 | + | 1.98224i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −0.464273 | − | 0.464273i | −0.0147037 | − | 0.0147037i | 0.699717 | − | 0.714420i | \(-0.253310\pi\) |
−0.714420 | + | 0.699717i | \(0.753310\pi\) | |||||||
\(998\) | −5.31371 | − | 5.31371i | −0.168203 | − | 0.168203i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 630.2.p.a.433.3 | 8 | ||
3.2 | odd | 2 | 70.2.g.a.13.2 | yes | 8 | ||
5.2 | odd | 4 | inner | 630.2.p.a.307.4 | 8 | ||
7.6 | odd | 2 | inner | 630.2.p.a.433.4 | 8 | ||
12.11 | even | 2 | 560.2.bj.c.433.1 | 8 | |||
15.2 | even | 4 | 70.2.g.a.27.1 | yes | 8 | ||
15.8 | even | 4 | 350.2.g.a.307.4 | 8 | |||
15.14 | odd | 2 | 350.2.g.a.293.3 | 8 | |||
21.2 | odd | 6 | 490.2.l.a.423.4 | 16 | |||
21.5 | even | 6 | 490.2.l.a.423.3 | 16 | |||
21.11 | odd | 6 | 490.2.l.a.313.1 | 16 | |||
21.17 | even | 6 | 490.2.l.a.313.2 | 16 | |||
21.20 | even | 2 | 70.2.g.a.13.1 | ✓ | 8 | ||
35.27 | even | 4 | inner | 630.2.p.a.307.3 | 8 | ||
60.47 | odd | 4 | 560.2.bj.c.97.4 | 8 | |||
84.83 | odd | 2 | 560.2.bj.c.433.4 | 8 | |||
105.2 | even | 12 | 490.2.l.a.227.2 | 16 | |||
105.17 | odd | 12 | 490.2.l.a.117.4 | 16 | |||
105.32 | even | 12 | 490.2.l.a.117.3 | 16 | |||
105.47 | odd | 12 | 490.2.l.a.227.1 | 16 | |||
105.62 | odd | 4 | 70.2.g.a.27.2 | yes | 8 | ||
105.83 | odd | 4 | 350.2.g.a.307.3 | 8 | |||
105.104 | even | 2 | 350.2.g.a.293.4 | 8 | |||
420.167 | even | 4 | 560.2.bj.c.97.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
70.2.g.a.13.1 | ✓ | 8 | 21.20 | even | 2 | ||
70.2.g.a.13.2 | yes | 8 | 3.2 | odd | 2 | ||
70.2.g.a.27.1 | yes | 8 | 15.2 | even | 4 | ||
70.2.g.a.27.2 | yes | 8 | 105.62 | odd | 4 | ||
350.2.g.a.293.3 | 8 | 15.14 | odd | 2 | |||
350.2.g.a.293.4 | 8 | 105.104 | even | 2 | |||
350.2.g.a.307.3 | 8 | 105.83 | odd | 4 | |||
350.2.g.a.307.4 | 8 | 15.8 | even | 4 | |||
490.2.l.a.117.3 | 16 | 105.32 | even | 12 | |||
490.2.l.a.117.4 | 16 | 105.17 | odd | 12 | |||
490.2.l.a.227.1 | 16 | 105.47 | odd | 12 | |||
490.2.l.a.227.2 | 16 | 105.2 | even | 12 | |||
490.2.l.a.313.1 | 16 | 21.11 | odd | 6 | |||
490.2.l.a.313.2 | 16 | 21.17 | even | 6 | |||
490.2.l.a.423.3 | 16 | 21.5 | even | 6 | |||
490.2.l.a.423.4 | 16 | 21.2 | odd | 6 | |||
560.2.bj.c.97.1 | 8 | 420.167 | even | 4 | |||
560.2.bj.c.97.4 | 8 | 60.47 | odd | 4 | |||
560.2.bj.c.433.1 | 8 | 12.11 | even | 2 | |||
560.2.bj.c.433.4 | 8 | 84.83 | odd | 2 | |||
630.2.p.a.307.3 | 8 | 35.27 | even | 4 | inner | ||
630.2.p.a.307.4 | 8 | 5.2 | odd | 4 | inner | ||
630.2.p.a.433.3 | 8 | 1.1 | even | 1 | trivial | ||
630.2.p.a.433.4 | 8 | 7.6 | odd | 2 | inner |