Newspace parameters
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(i, \sqrt{6})\) |
Defining polynomial: |
\( x^{4} + 9 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 70) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 99.1 | ||
Root | \(1.22474 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 490.99 |
Dual form | 490.2.c.e.99.4 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | − | 2.44949i | − | 1.41421i | −0.707107 | − | 0.707107i | \(-0.750000\pi\) | ||
0.707107 | − | 0.707107i | \(-0.250000\pi\) | |||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −2.22474 | + | 0.224745i | −0.994936 | + | 0.100509i | ||||
\(6\) | −2.44949 | −1.00000 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −3.00000 | −1.00000 | ||||||||
\(10\) | 0.224745 | + | 2.22474i | 0.0710706 | + | 0.703526i | ||||
\(11\) | −4.89898 | −1.47710 | −0.738549 | − | 0.674200i | \(-0.764489\pi\) | ||||
−0.738549 | + | 0.674200i | \(0.764489\pi\) | |||||||
\(12\) | 2.44949i | 0.707107i | ||||||||
\(13\) | 4.44949i | 1.23407i | 0.786937 | + | 0.617033i | \(0.211666\pi\) | ||||
−0.786937 | + | 0.617033i | \(0.788334\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.550510 | + | 5.44949i | 0.142141 | + | 1.40705i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 2.00000i | − | 0.485071i | −0.970143 | − | 0.242536i | \(-0.922021\pi\) | ||
0.970143 | − | 0.242536i | \(-0.0779791\pi\) | |||||||
\(18\) | 3.00000i | 0.707107i | ||||||||
\(19\) | 1.55051 | 0.355711 | 0.177856 | − | 0.984057i | \(-0.443084\pi\) | ||||
0.177856 | + | 0.984057i | \(0.443084\pi\) | |||||||
\(20\) | 2.22474 | − | 0.224745i | 0.497468 | − | 0.0502545i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.89898i | 1.04447i | ||||||||
\(23\) | − | 2.89898i | − | 0.604479i | −0.953232 | − | 0.302240i | \(-0.902266\pi\) | ||
0.953232 | − | 0.302240i | \(-0.0977342\pi\) | |||||||
\(24\) | 2.44949 | 0.500000 | ||||||||
\(25\) | 4.89898 | − | 1.00000i | 0.979796 | − | 0.200000i | ||||
\(26\) | 4.44949 | 0.872617 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.89898 | −1.28111 | −0.640554 | − | 0.767913i | \(-0.721295\pi\) | ||||
−0.640554 | + | 0.767913i | \(0.721295\pi\) | |||||||
\(30\) | 5.44949 | − | 0.550510i | 0.994936 | − | 0.100509i | ||||
\(31\) | −8.89898 | −1.59830 | −0.799152 | − | 0.601129i | \(-0.794718\pi\) | ||||
−0.799152 | + | 0.601129i | \(0.794718\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 12.0000i | 2.08893i | ||||||||
\(34\) | −2.00000 | −0.342997 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.00000 | 0.500000 | ||||||||
\(37\) | 2.00000i | 0.328798i | 0.986394 | + | 0.164399i | \(0.0525685\pi\) | ||||
−0.986394 | + | 0.164399i | \(0.947432\pi\) | |||||||
\(38\) | − | 1.55051i | − | 0.251526i | ||||||
\(39\) | 10.8990 | 1.74523 | ||||||||
\(40\) | −0.224745 | − | 2.22474i | −0.0355353 | − | 0.351763i | ||||
\(41\) | 1.10102 | 0.171951 | 0.0859753 | − | 0.996297i | \(-0.472599\pi\) | ||||
0.0859753 | + | 0.996297i | \(0.472599\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.898979i | 0.137093i | 0.997648 | + | 0.0685465i | \(0.0218362\pi\) | ||||
−0.997648 | + | 0.0685465i | \(0.978164\pi\) | |||||||
\(44\) | 4.89898 | 0.738549 | ||||||||
\(45\) | 6.67423 | − | 0.674235i | 0.994936 | − | 0.100509i | ||||
\(46\) | −2.89898 | −0.427431 | ||||||||
\(47\) | − | 8.89898i | − | 1.29805i | −0.760767 | − | 0.649025i | \(-0.775177\pi\) | ||
0.760767 | − | 0.649025i | \(-0.224823\pi\) | |||||||
\(48\) | − | 2.44949i | − | 0.353553i | ||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.00000 | − | 4.89898i | −0.141421 | − | 0.692820i | ||||
\(51\) | −4.89898 | −0.685994 | ||||||||
\(52\) | − | 4.44949i | − | 0.617033i | ||||||
\(53\) | 10.8990i | 1.49709i | 0.663084 | + | 0.748545i | \(0.269247\pi\) | ||||
−0.663084 | + | 0.748545i | \(0.730753\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.8990 | − | 1.10102i | 1.46962 | − | 0.148462i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | − | 3.79796i | − | 0.503052i | ||||||
\(58\) | 6.89898i | 0.905880i | ||||||||
\(59\) | −1.55051 | −0.201859 | −0.100930 | − | 0.994894i | \(-0.532182\pi\) | ||||
−0.100930 | + | 0.994894i | \(0.532182\pi\) | |||||||
\(60\) | −0.550510 | − | 5.44949i | −0.0710706 | − | 0.703526i | ||||
\(61\) | −3.55051 | −0.454596 | −0.227298 | − | 0.973825i | \(-0.572989\pi\) | ||||
−0.227298 | + | 0.973825i | \(0.572989\pi\) | |||||||
\(62\) | 8.89898i | 1.13017i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −1.00000 | − | 9.89898i | −0.124035 | − | 1.22782i | ||||
\(66\) | 12.0000 | 1.47710 | ||||||||
\(67\) | − | 8.00000i | − | 0.977356i | −0.872464 | − | 0.488678i | \(-0.837479\pi\) | ||
0.872464 | − | 0.488678i | \(-0.162521\pi\) | |||||||
\(68\) | 2.00000i | 0.242536i | ||||||||
\(69\) | −7.10102 | −0.854862 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.10102 | −0.130667 | −0.0653335 | − | 0.997863i | \(-0.520811\pi\) | ||||
−0.0653335 | + | 0.997863i | \(0.520811\pi\) | |||||||
\(72\) | − | 3.00000i | − | 0.353553i | ||||||
\(73\) | 2.89898i | 0.339300i | 0.985504 | + | 0.169650i | \(0.0542637\pi\) | ||||
−0.985504 | + | 0.169650i | \(0.945736\pi\) | |||||||
\(74\) | 2.00000 | 0.232495 | ||||||||
\(75\) | −2.44949 | − | 12.0000i | −0.282843 | − | 1.38564i | ||||
\(76\) | −1.55051 | −0.177856 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | − | 10.8990i | − | 1.23407i | ||||||
\(79\) | −6.89898 | −0.776196 | −0.388098 | − | 0.921618i | \(-0.626868\pi\) | ||||
−0.388098 | + | 0.921618i | \(0.626868\pi\) | |||||||
\(80\) | −2.22474 | + | 0.224745i | −0.248734 | + | 0.0251272i | ||||
\(81\) | −9.00000 | −1.00000 | ||||||||
\(82\) | − | 1.10102i | − | 0.121587i | ||||||
\(83\) | − | 2.44949i | − | 0.268866i | −0.990923 | − | 0.134433i | \(-0.957079\pi\) | ||
0.990923 | − | 0.134433i | \(-0.0429214\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.449490 | + | 4.44949i | 0.0487540 | + | 0.482615i | ||||
\(86\) | 0.898979 | 0.0969395 | ||||||||
\(87\) | 16.8990i | 1.81176i | ||||||||
\(88\) | − | 4.89898i | − | 0.522233i | ||||||
\(89\) | −10.0000 | −1.06000 | −0.529999 | − | 0.847998i | \(-0.677808\pi\) | ||||
−0.529999 | + | 0.847998i | \(0.677808\pi\) | |||||||
\(90\) | −0.674235 | − | 6.67423i | −0.0710706 | − | 0.703526i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 2.89898i | 0.302240i | ||||||||
\(93\) | 21.7980i | 2.26034i | ||||||||
\(94\) | −8.89898 | −0.917860 | ||||||||
\(95\) | −3.44949 | + | 0.348469i | −0.353910 | + | 0.0357522i | ||||
\(96\) | −2.44949 | −0.250000 | ||||||||
\(97\) | − | 15.7980i | − | 1.60404i | −0.597297 | − | 0.802020i | \(-0.703759\pi\) | ||
0.597297 | − | 0.802020i | \(-0.296241\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 14.6969 | 1.47710 | ||||||||
\(100\) | −4.89898 | + | 1.00000i | −0.489898 | + | 0.100000i | ||||
\(101\) | −3.55051 | −0.353289 | −0.176644 | − | 0.984275i | \(-0.556524\pi\) | ||||
−0.176644 | + | 0.984275i | \(0.556524\pi\) | |||||||
\(102\) | 4.89898i | 0.485071i | ||||||||
\(103\) | 12.8990i | 1.27097i | 0.772111 | + | 0.635487i | \(0.219201\pi\) | ||||
−0.772111 | + | 0.635487i | \(0.780799\pi\) | |||||||
\(104\) | −4.44949 | −0.436308 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.8990 | 1.05860 | ||||||||
\(107\) | − | 8.00000i | − | 0.773389i | −0.922208 | − | 0.386695i | \(-0.873617\pi\) | ||
0.922208 | − | 0.386695i | \(-0.126383\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.89898 | −0.660802 | −0.330401 | − | 0.943841i | \(-0.607184\pi\) | ||||
−0.330401 | + | 0.943841i | \(0.607184\pi\) | |||||||
\(110\) | −1.10102 | − | 10.8990i | −0.104978 | − | 1.03918i | ||||
\(111\) | 4.89898 | 0.464991 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 19.7980i | − | 1.86244i | −0.364464 | − | 0.931218i | \(-0.618748\pi\) | ||
0.364464 | − | 0.931218i | \(-0.381252\pi\) | |||||||
\(114\) | −3.79796 | −0.355711 | ||||||||
\(115\) | 0.651531 | + | 6.44949i | 0.0607556 | + | 0.601418i | ||||
\(116\) | 6.89898 | 0.640554 | ||||||||
\(117\) | − | 13.3485i | − | 1.23407i | ||||||
\(118\) | 1.55051i | 0.142736i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.44949 | + | 0.550510i | −0.497468 | + | 0.0502545i | ||||
\(121\) | 13.0000 | 1.18182 | ||||||||
\(122\) | 3.55051i | 0.321448i | ||||||||
\(123\) | − | 2.69694i | − | 0.243175i | ||||||
\(124\) | 8.89898 | 0.799152 | ||||||||
\(125\) | −10.6742 | + | 3.32577i | −0.954733 | + | 0.297465i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 14.8990i | − | 1.32207i | −0.750355 | − | 0.661035i | \(-0.770117\pi\) | ||
0.750355 | − | 0.661035i | \(-0.229883\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 2.20204 | 0.193879 | ||||||||
\(130\) | −9.89898 | + | 1.00000i | −0.868198 | + | 0.0877058i | ||||
\(131\) | 6.44949 | 0.563495 | 0.281747 | − | 0.959489i | \(-0.409086\pi\) | ||||
0.281747 | + | 0.959489i | \(0.409086\pi\) | |||||||
\(132\) | − | 12.0000i | − | 1.04447i | ||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −8.00000 | −0.691095 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.00000 | 0.171499 | ||||||||
\(137\) | − | 1.79796i | − | 0.153610i | −0.997046 | − | 0.0768050i | \(-0.975528\pi\) | ||
0.997046 | − | 0.0768050i | \(-0.0244719\pi\) | |||||||
\(138\) | 7.10102i | 0.604479i | ||||||||
\(139\) | 1.55051 | 0.131513 | 0.0657563 | − | 0.997836i | \(-0.479054\pi\) | ||||
0.0657563 | + | 0.997836i | \(0.479054\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −21.7980 | −1.83572 | ||||||||
\(142\) | 1.10102i | 0.0923956i | ||||||||
\(143\) | − | 21.7980i | − | 1.82284i | ||||||
\(144\) | −3.00000 | −0.250000 | ||||||||
\(145\) | 15.3485 | − | 1.55051i | 1.27462 | − | 0.128763i | ||||
\(146\) | 2.89898 | 0.239921 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 2.00000i | − | 0.164399i | ||||||
\(149\) | 3.79796 | 0.311141 | 0.155570 | − | 0.987825i | \(-0.450278\pi\) | ||||
0.155570 | + | 0.987825i | \(0.450278\pi\) | |||||||
\(150\) | −12.0000 | + | 2.44949i | −0.979796 | + | 0.200000i | ||||
\(151\) | 19.5959 | 1.59469 | 0.797347 | − | 0.603522i | \(-0.206236\pi\) | ||||
0.797347 | + | 0.603522i | \(0.206236\pi\) | |||||||
\(152\) | 1.55051i | 0.125763i | ||||||||
\(153\) | 6.00000i | 0.485071i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 19.7980 | − | 2.00000i | 1.59021 | − | 0.160644i | ||||
\(156\) | −10.8990 | −0.872617 | ||||||||
\(157\) | − | 3.55051i | − | 0.283362i | −0.989912 | − | 0.141681i | \(-0.954749\pi\) | ||
0.989912 | − | 0.141681i | \(-0.0452507\pi\) | |||||||
\(158\) | 6.89898i | 0.548853i | ||||||||
\(159\) | 26.6969 | 2.11720 | ||||||||
\(160\) | 0.224745 | + | 2.22474i | 0.0177676 | + | 0.175882i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 9.00000i | 0.707107i | ||||||||
\(163\) | 7.10102i | 0.556195i | 0.960553 | + | 0.278097i | \(0.0897038\pi\) | ||||
−0.960553 | + | 0.278097i | \(0.910296\pi\) | |||||||
\(164\) | −1.10102 | −0.0859753 | ||||||||
\(165\) | −2.69694 | − | 26.6969i | −0.209956 | − | 2.07835i | ||||
\(166\) | −2.44949 | −0.190117 | ||||||||
\(167\) | 4.89898i | 0.379094i | 0.981872 | + | 0.189547i | \(0.0607020\pi\) | ||||
−0.981872 | + | 0.189547i | \(0.939298\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −6.79796 | −0.522920 | ||||||||
\(170\) | 4.44949 | − | 0.449490i | 0.341260 | − | 0.0344743i | ||||
\(171\) | −4.65153 | −0.355711 | ||||||||
\(172\) | − | 0.898979i | − | 0.0685465i | ||||||
\(173\) | − | 6.24745i | − | 0.474985i | −0.971389 | − | 0.237492i | \(-0.923675\pi\) | ||
0.971389 | − | 0.237492i | \(-0.0763255\pi\) | |||||||
\(174\) | 16.8990 | 1.28111 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.89898 | −0.369274 | ||||||||
\(177\) | 3.79796i | 0.285472i | ||||||||
\(178\) | 10.0000i | 0.749532i | ||||||||
\(179\) | −13.7980 | −1.03131 | −0.515654 | − | 0.856797i | \(-0.672451\pi\) | ||||
−0.515654 | + | 0.856797i | \(0.672451\pi\) | |||||||
\(180\) | −6.67423 | + | 0.674235i | −0.497468 | + | 0.0502545i | ||||
\(181\) | 10.2474 | 0.761687 | 0.380843 | − | 0.924640i | \(-0.375634\pi\) | ||||
0.380843 | + | 0.924640i | \(0.375634\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.69694i | 0.642896i | ||||||||
\(184\) | 2.89898 | 0.213716 | ||||||||
\(185\) | −0.449490 | − | 4.44949i | −0.0330471 | − | 0.327133i | ||||
\(186\) | 21.7980 | 1.59830 | ||||||||
\(187\) | 9.79796i | 0.716498i | ||||||||
\(188\) | 8.89898i | 0.649025i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.348469 | + | 3.44949i | 0.0252806 | + | 0.250252i | ||||
\(191\) | 12.6969 | 0.918718 | 0.459359 | − | 0.888251i | \(-0.348079\pi\) | ||||
0.459359 | + | 0.888251i | \(0.348079\pi\) | |||||||
\(192\) | 2.44949i | 0.176777i | ||||||||
\(193\) | 21.5959i | 1.55451i | 0.629187 | + | 0.777254i | \(0.283388\pi\) | ||||
−0.629187 | + | 0.777254i | \(0.716612\pi\) | |||||||
\(194\) | −15.7980 | −1.13423 | ||||||||
\(195\) | −24.2474 | + | 2.44949i | −1.73640 | + | 0.175412i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 18.8990i | 1.34650i | 0.739417 | + | 0.673248i | \(0.235101\pi\) | ||||
−0.739417 | + | 0.673248i | \(0.764899\pi\) | |||||||
\(198\) | − | 14.6969i | − | 1.04447i | ||||||
\(199\) | 16.8990 | 1.19794 | 0.598968 | − | 0.800773i | \(-0.295577\pi\) | ||||
0.598968 | + | 0.800773i | \(0.295577\pi\) | |||||||
\(200\) | 1.00000 | + | 4.89898i | 0.0707107 | + | 0.346410i | ||||
\(201\) | −19.5959 | −1.38219 | ||||||||
\(202\) | 3.55051i | 0.249813i | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 4.89898 | 0.342997 | ||||||||
\(205\) | −2.44949 | + | 0.247449i | −0.171080 | + | 0.0172826i | ||||
\(206\) | 12.8990 | 0.898714 | ||||||||
\(207\) | 8.69694i | 0.604479i | ||||||||
\(208\) | 4.44949i | 0.308517i | ||||||||
\(209\) | −7.59592 | −0.525421 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.0000 | 0.826114 | 0.413057 | − | 0.910705i | \(-0.364461\pi\) | ||||
0.413057 | + | 0.910705i | \(0.364461\pi\) | |||||||
\(212\) | − | 10.8990i | − | 0.748545i | ||||||
\(213\) | 2.69694i | 0.184791i | ||||||||
\(214\) | −8.00000 | −0.546869 | ||||||||
\(215\) | −0.202041 | − | 2.00000i | −0.0137791 | − | 0.136399i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 6.89898i | 0.467258i | ||||||||
\(219\) | 7.10102 | 0.479842 | ||||||||
\(220\) | −10.8990 | + | 1.10102i | −0.734809 | + | 0.0742308i | ||||
\(221\) | 8.89898 | 0.598610 | ||||||||
\(222\) | − | 4.89898i | − | 0.328798i | ||||||
\(223\) | − | 4.00000i | − | 0.267860i | −0.990991 | − | 0.133930i | \(-0.957240\pi\) | ||
0.990991 | − | 0.133930i | \(-0.0427597\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −14.6969 | + | 3.00000i | −0.979796 | + | 0.200000i | ||||
\(226\) | −19.7980 | −1.31694 | ||||||||
\(227\) | − | 7.34847i | − | 0.487735i | −0.969809 | − | 0.243868i | \(-0.921584\pi\) | ||
0.969809 | − | 0.243868i | \(-0.0784162\pi\) | |||||||
\(228\) | 3.79796i | 0.251526i | ||||||||
\(229\) | −19.1464 | −1.26523 | −0.632616 | − | 0.774466i | \(-0.718019\pi\) | ||||
−0.632616 | + | 0.774466i | \(0.718019\pi\) | |||||||
\(230\) | 6.44949 | − | 0.651531i | 0.425267 | − | 0.0429607i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 6.89898i | − | 0.452940i | ||||||
\(233\) | − | 29.7980i | − | 1.95213i | −0.217481 | − | 0.976065i | \(-0.569784\pi\) | ||
0.217481 | − | 0.976065i | \(-0.430216\pi\) | |||||||
\(234\) | −13.3485 | −0.872617 | ||||||||
\(235\) | 2.00000 | + | 19.7980i | 0.130466 | + | 1.29148i | ||||
\(236\) | 1.55051 | 0.100930 | ||||||||
\(237\) | 16.8990i | 1.09771i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.20204 | 0.401177 | 0.200588 | − | 0.979676i | \(-0.435715\pi\) | ||||
0.200588 | + | 0.979676i | \(0.435715\pi\) | |||||||
\(240\) | 0.550510 | + | 5.44949i | 0.0355353 | + | 0.351763i | ||||
\(241\) | 8.69694 | 0.560219 | 0.280110 | − | 0.959968i | \(-0.409629\pi\) | ||||
0.280110 | + | 0.959968i | \(0.409629\pi\) | |||||||
\(242\) | − | 13.0000i | − | 0.835672i | ||||||
\(243\) | 22.0454i | 1.41421i | ||||||||
\(244\) | 3.55051 | 0.227298 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.69694 | −0.171951 | ||||||||
\(247\) | 6.89898i | 0.438972i | ||||||||
\(248\) | − | 8.89898i | − | 0.565086i | ||||||
\(249\) | −6.00000 | −0.380235 | ||||||||
\(250\) | 3.32577 | + | 10.6742i | 0.210340 | + | 0.675098i | ||||
\(251\) | 6.44949 | 0.407088 | 0.203544 | − | 0.979066i | \(-0.434754\pi\) | ||||
0.203544 | + | 0.979066i | \(0.434754\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 14.2020i | 0.892875i | ||||||||
\(254\) | −14.8990 | −0.934845 | ||||||||
\(255\) | 10.8990 | − | 1.10102i | 0.682521 | − | 0.0689486i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 8.69694i | 0.542500i | 0.962509 | + | 0.271250i | \(0.0874370\pi\) | ||||
−0.962509 | + | 0.271250i | \(0.912563\pi\) | |||||||
\(258\) | − | 2.20204i | − | 0.137093i | ||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1.00000 | + | 9.89898i | 0.0620174 | + | 0.613909i | ||||
\(261\) | 20.6969 | 1.28111 | ||||||||
\(262\) | − | 6.44949i | − | 0.398451i | ||||||
\(263\) | − | 9.79796i | − | 0.604168i | −0.953281 | − | 0.302084i | \(-0.902318\pi\) | ||
0.953281 | − | 0.302084i | \(-0.0976823\pi\) | |||||||
\(264\) | −12.0000 | −0.738549 | ||||||||
\(265\) | −2.44949 | − | 24.2474i | −0.150471 | − | 1.48951i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 24.4949i | 1.49906i | ||||||||
\(268\) | 8.00000i | 0.488678i | ||||||||
\(269\) | 19.1464 | 1.16738 | 0.583689 | − | 0.811977i | \(-0.301609\pi\) | ||||
0.583689 | + | 0.811977i | \(0.301609\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.0000 | −0.728948 | −0.364474 | − | 0.931214i | \(-0.618751\pi\) | ||||
−0.364474 | + | 0.931214i | \(0.618751\pi\) | |||||||
\(272\) | − | 2.00000i | − | 0.121268i | ||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.79796 | −0.108619 | ||||||||
\(275\) | −24.0000 | + | 4.89898i | −1.44725 | + | 0.295420i | ||||
\(276\) | 7.10102 | 0.427431 | ||||||||
\(277\) | − | 14.8990i | − | 0.895193i | −0.894236 | − | 0.447596i | \(-0.852280\pi\) | ||
0.894236 | − | 0.447596i | \(-0.147720\pi\) | |||||||
\(278\) | − | 1.55051i | − | 0.0929934i | ||||||
\(279\) | 26.6969 | 1.59830 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −18.0000 | −1.07379 | −0.536895 | − | 0.843649i | \(-0.680403\pi\) | ||||
−0.536895 | + | 0.843649i | \(0.680403\pi\) | |||||||
\(282\) | 21.7980i | 1.29805i | ||||||||
\(283\) | 3.75255i | 0.223066i | 0.993761 | + | 0.111533i | \(0.0355761\pi\) | ||||
−0.993761 | + | 0.111533i | \(0.964424\pi\) | |||||||
\(284\) | 1.10102 | 0.0653335 | ||||||||
\(285\) | 0.853572 | + | 8.44949i | 0.0505612 | + | 0.500505i | ||||
\(286\) | −21.7980 | −1.28894 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 3.00000i | 0.176777i | ||||||||
\(289\) | 13.0000 | 0.764706 | ||||||||
\(290\) | −1.55051 | − | 15.3485i | −0.0910491 | − | 0.901293i | ||||
\(291\) | −38.6969 | −2.26845 | ||||||||
\(292\) | − | 2.89898i | − | 0.169650i | ||||||
\(293\) | 18.2474i | 1.06603i | 0.846107 | + | 0.533014i | \(0.178941\pi\) | ||||
−0.846107 | + | 0.533014i | \(0.821059\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.44949 | − | 0.348469i | 0.200837 | − | 0.0202887i | ||||
\(296\) | −2.00000 | −0.116248 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 3.79796i | − | 0.220010i | ||||||
\(299\) | 12.8990 | 0.745967 | ||||||||
\(300\) | 2.44949 | + | 12.0000i | 0.141421 | + | 0.692820i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | − | 19.5959i | − | 1.12762i | ||||||
\(303\) | 8.69694i | 0.499626i | ||||||||
\(304\) | 1.55051 | 0.0889279 | ||||||||
\(305\) | 7.89898 | − | 0.797959i | 0.452294 | − | 0.0456910i | ||||
\(306\) | 6.00000 | 0.342997 | ||||||||
\(307\) | 20.2474i | 1.15558i | 0.816184 | + | 0.577791i | \(0.196085\pi\) | ||||
−0.816184 | + | 0.577791i | \(0.803915\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 31.5959 | 1.79743 | ||||||||
\(310\) | −2.00000 | − | 19.7980i | −0.113592 | − | 1.12445i | ||||
\(311\) | −12.0000 | −0.680458 | −0.340229 | − | 0.940343i | \(-0.610505\pi\) | ||||
−0.340229 | + | 0.940343i | \(0.610505\pi\) | |||||||
\(312\) | 10.8990i | 0.617033i | ||||||||
\(313\) | − | 21.5959i | − | 1.22067i | −0.792142 | − | 0.610337i | \(-0.791034\pi\) | ||
0.792142 | − | 0.610337i | \(-0.208966\pi\) | |||||||
\(314\) | −3.55051 | −0.200367 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.89898 | 0.388098 | ||||||||
\(317\) | − | 22.4949i | − | 1.26344i | −0.775197 | − | 0.631720i | \(-0.782349\pi\) | ||
0.775197 | − | 0.631720i | \(-0.217651\pi\) | |||||||
\(318\) | − | 26.6969i | − | 1.49709i | ||||||
\(319\) | 33.7980 | 1.89232 | ||||||||
\(320\) | 2.22474 | − | 0.224745i | 0.124367 | − | 0.0125636i | ||||
\(321\) | −19.5959 | −1.09374 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 3.10102i | − | 0.172545i | ||||||
\(324\) | 9.00000 | 0.500000 | ||||||||
\(325\) | 4.44949 | + | 21.7980i | 0.246813 | + | 1.20913i | ||||
\(326\) | 7.10102 | 0.393289 | ||||||||
\(327\) | 16.8990i | 0.934516i | ||||||||
\(328\) | 1.10102i | 0.0607937i | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −26.6969 | + | 2.69694i | −1.46962 | + | 0.148462i | ||||
\(331\) | −18.6969 | −1.02768 | −0.513838 | − | 0.857887i | \(-0.671777\pi\) | ||||
−0.513838 | + | 0.857887i | \(0.671777\pi\) | |||||||
\(332\) | 2.44949i | 0.134433i | ||||||||
\(333\) | − | 6.00000i | − | 0.328798i | ||||||
\(334\) | 4.89898 | 0.268060 | ||||||||
\(335\) | 1.79796 | + | 17.7980i | 0.0982330 | + | 0.972406i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 9.59592i | 0.522723i | 0.965241 | + | 0.261361i | \(0.0841715\pi\) | ||||
−0.965241 | + | 0.261361i | \(0.915829\pi\) | |||||||
\(338\) | 6.79796i | 0.369760i | ||||||||
\(339\) | −48.4949 | −2.63388 | ||||||||
\(340\) | −0.449490 | − | 4.44949i | −0.0243770 | − | 0.241307i | ||||
\(341\) | 43.5959 | 2.36085 | ||||||||
\(342\) | 4.65153i | 0.251526i | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −0.898979 | −0.0484697 | ||||||||
\(345\) | 15.7980 | − | 1.59592i | 0.850534 | − | 0.0859213i | ||||
\(346\) | −6.24745 | −0.335865 | ||||||||
\(347\) | 28.8990i | 1.55138i | 0.631115 | + | 0.775689i | \(0.282598\pi\) | ||||
−0.631115 | + | 0.775689i | \(0.717402\pi\) | |||||||
\(348\) | − | 16.8990i | − | 0.905880i | ||||||
\(349\) | −8.44949 | −0.452291 | −0.226145 | − | 0.974094i | \(-0.572612\pi\) | ||||
−0.226145 | + | 0.974094i | \(0.572612\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.89898i | 0.261116i | ||||||||
\(353\) | 22.8990i | 1.21879i | 0.792867 | + | 0.609395i | \(0.208588\pi\) | ||||
−0.792867 | + | 0.609395i | \(0.791412\pi\) | |||||||
\(354\) | 3.79796 | 0.201859 | ||||||||
\(355\) | 2.44949 | − | 0.247449i | 0.130005 | − | 0.0131332i | ||||
\(356\) | 10.0000 | 0.529999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 13.7980i | 0.729245i | ||||||||
\(359\) | 27.5959 | 1.45646 | 0.728228 | − | 0.685334i | \(-0.240344\pi\) | ||||
0.728228 | + | 0.685334i | \(0.240344\pi\) | |||||||
\(360\) | 0.674235 | + | 6.67423i | 0.0355353 | + | 0.351763i | ||||
\(361\) | −16.5959 | −0.873469 | ||||||||
\(362\) | − | 10.2474i | − | 0.538594i | ||||||
\(363\) | − | 31.8434i | − | 1.67134i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.651531 | − | 6.44949i | −0.0341027 | − | 0.337582i | ||||
\(366\) | 8.69694 | 0.454596 | ||||||||
\(367\) | − | 32.0000i | − | 1.67039i | −0.549957 | − | 0.835193i | \(-0.685356\pi\) | ||
0.549957 | − | 0.835193i | \(-0.314644\pi\) | |||||||
\(368\) | − | 2.89898i | − | 0.151120i | ||||||
\(369\) | −3.30306 | −0.171951 | ||||||||
\(370\) | −4.44949 | + | 0.449490i | −0.231318 | + | 0.0233679i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | − | 21.7980i | − | 1.13017i | ||||||
\(373\) | 4.69694i | 0.243198i | 0.992579 | + | 0.121599i | \(0.0388022\pi\) | ||||
−0.992579 | + | 0.121599i | \(0.961198\pi\) | |||||||
\(374\) | 9.79796 | 0.506640 | ||||||||
\(375\) | 8.14643 | + | 26.1464i | 0.420680 | + | 1.35020i | ||||
\(376\) | 8.89898 | 0.458930 | ||||||||
\(377\) | − | 30.6969i | − | 1.58097i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.6969 | −1.57680 | −0.788398 | − | 0.615166i | \(-0.789089\pi\) | ||||
−0.788398 | + | 0.615166i | \(0.789089\pi\) | |||||||
\(380\) | 3.44949 | − | 0.348469i | 0.176955 | − | 0.0178761i | ||||
\(381\) | −36.4949 | −1.86969 | ||||||||
\(382\) | − | 12.6969i | − | 0.649632i | ||||||
\(383\) | − | 7.10102i | − | 0.362845i | −0.983405 | − | 0.181423i | \(-0.941930\pi\) | ||
0.983405 | − | 0.181423i | \(-0.0580702\pi\) | |||||||
\(384\) | 2.44949 | 0.125000 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 21.5959 | 1.09920 | ||||||||
\(387\) | − | 2.69694i | − | 0.137093i | ||||||
\(388\) | 15.7980i | 0.802020i | ||||||||
\(389\) | −13.1010 | −0.664248 | −0.332124 | − | 0.943236i | \(-0.607765\pi\) | ||||
−0.332124 | + | 0.943236i | \(0.607765\pi\) | |||||||
\(390\) | 2.44949 | + | 24.2474i | 0.124035 | + | 1.22782i | ||||
\(391\) | −5.79796 | −0.293215 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | − | 15.7980i | − | 0.796902i | ||||||
\(394\) | 18.8990 | 0.952117 | ||||||||
\(395\) | 15.3485 | − | 1.55051i | 0.772265 | − | 0.0780146i | ||||
\(396\) | −14.6969 | −0.738549 | ||||||||
\(397\) | 2.65153i | 0.133077i | 0.997784 | + | 0.0665383i | \(0.0211954\pi\) | ||||
−0.997784 | + | 0.0665383i | \(0.978805\pi\) | |||||||
\(398\) | − | 16.8990i | − | 0.847069i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.89898 | − | 1.00000i | 0.244949 | − | 0.0500000i | ||||
\(401\) | −29.3939 | −1.46786 | −0.733930 | − | 0.679225i | \(-0.762316\pi\) | ||||
−0.733930 | + | 0.679225i | \(0.762316\pi\) | |||||||
\(402\) | 19.5959i | 0.977356i | ||||||||
\(403\) | − | 39.5959i | − | 1.97241i | ||||||
\(404\) | 3.55051 | 0.176644 | ||||||||
\(405\) | 20.0227 | − | 2.02270i | 0.994936 | − | 0.100509i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 9.79796i | − | 0.485667i | ||||||
\(408\) | − | 4.89898i | − | 0.242536i | ||||||
\(409\) | 34.4949 | 1.70566 | 0.852831 | − | 0.522186i | \(-0.174883\pi\) | ||||
0.852831 | + | 0.522186i | \(0.174883\pi\) | |||||||
\(410\) | 0.247449 | + | 2.44949i | 0.0122206 | + | 0.120972i | ||||
\(411\) | −4.40408 | −0.217237 | ||||||||
\(412\) | − | 12.8990i | − | 0.635487i | ||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 8.69694 | 0.427431 | ||||||||
\(415\) | 0.550510 | + | 5.44949i | 0.0270235 | + | 0.267505i | ||||
\(416\) | 4.44949 | 0.218154 | ||||||||
\(417\) | − | 3.79796i | − | 0.185987i | ||||||
\(418\) | 7.59592i | 0.371528i | ||||||||
\(419\) | −1.55051 | −0.0757474 | −0.0378737 | − | 0.999283i | \(-0.512058\pi\) | ||||
−0.0378737 | + | 0.999283i | \(0.512058\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.20204 | −0.204795 | −0.102397 | − | 0.994744i | \(-0.532651\pi\) | ||||
−0.102397 | + | 0.994744i | \(0.532651\pi\) | |||||||
\(422\) | − | 12.0000i | − | 0.584151i | ||||||
\(423\) | 26.6969i | 1.29805i | ||||||||
\(424\) | −10.8990 | −0.529301 | ||||||||
\(425\) | −2.00000 | − | 9.79796i | −0.0970143 | − | 0.475271i | ||||
\(426\) | 2.69694 | 0.130667 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 8.00000i | 0.386695i | ||||||||
\(429\) | −53.3939 | −2.57788 | ||||||||
\(430\) | −2.00000 | + | 0.202041i | −0.0964486 | + | 0.00974328i | ||||
\(431\) | −1.79796 | −0.0866046 | −0.0433023 | − | 0.999062i | \(-0.513788\pi\) | ||||
−0.0433023 | + | 0.999062i | \(0.513788\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 0.202041i | − | 0.00970947i | −0.999988 | − | 0.00485474i | \(-0.998455\pi\) | ||
0.999988 | − | 0.00485474i | \(-0.00154532\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −3.79796 | − | 37.5959i | −0.182098 | − | 1.80259i | ||||
\(436\) | 6.89898 | 0.330401 | ||||||||
\(437\) | − | 4.49490i | − | 0.215020i | ||||||
\(438\) | − | 7.10102i | − | 0.339300i | ||||||
\(439\) | −21.3939 | −1.02107 | −0.510537 | − | 0.859856i | \(-0.670553\pi\) | ||||
−0.510537 | + | 0.859856i | \(0.670553\pi\) | |||||||
\(440\) | 1.10102 | + | 10.8990i | 0.0524891 | + | 0.519588i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 8.89898i | − | 0.423281i | ||||||
\(443\) | − | 9.79796i | − | 0.465515i | −0.972535 | − | 0.232758i | \(-0.925225\pi\) | ||
0.972535 | − | 0.232758i | \(-0.0747749\pi\) | |||||||
\(444\) | −4.89898 | −0.232495 | ||||||||
\(445\) | 22.2474 | − | 2.24745i | 1.05463 | − | 0.106539i | ||||
\(446\) | −4.00000 | −0.189405 | ||||||||
\(447\) | − | 9.30306i | − | 0.440020i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10.0000 | 0.471929 | 0.235965 | − | 0.971762i | \(-0.424175\pi\) | ||||
0.235965 | + | 0.971762i | \(0.424175\pi\) | |||||||
\(450\) | 3.00000 | + | 14.6969i | 0.141421 | + | 0.692820i | ||||
\(451\) | −5.39388 | −0.253988 | ||||||||
\(452\) | 19.7980i | 0.931218i | ||||||||
\(453\) | − | 48.0000i | − | 2.25524i | ||||||
\(454\) | −7.34847 | −0.344881 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 3.79796 | 0.177856 | ||||||||
\(457\) | 29.5959i | 1.38444i | 0.721687 | + | 0.692219i | \(0.243367\pi\) | ||||
−0.721687 | + | 0.692219i | \(0.756633\pi\) | |||||||
\(458\) | 19.1464i | 0.894654i | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.651531 | − | 6.44949i | −0.0303778 | − | 0.300709i | ||||
\(461\) | −17.3485 | −0.807999 | −0.403999 | − | 0.914759i | \(-0.632380\pi\) | ||||
−0.403999 | + | 0.914759i | \(0.632380\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 3.59592i | − | 0.167116i | −0.996503 | − | 0.0835582i | \(-0.973372\pi\) | ||
0.996503 | − | 0.0835582i | \(-0.0266285\pi\) | |||||||
\(464\) | −6.89898 | −0.320277 | ||||||||
\(465\) | −4.89898 | − | 48.4949i | −0.227185 | − | 2.24890i | ||||
\(466\) | −29.7980 | −1.38036 | ||||||||
\(467\) | − | 10.4495i | − | 0.483545i | −0.970333 | − | 0.241772i | \(-0.922271\pi\) | ||
0.970333 | − | 0.241772i | \(-0.0777287\pi\) | |||||||
\(468\) | 13.3485i | 0.617033i | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 19.7980 | − | 2.00000i | 0.913212 | − | 0.0922531i | ||||
\(471\) | −8.69694 | −0.400734 | ||||||||
\(472\) | − | 1.55051i | − | 0.0713680i | ||||||
\(473\) | − | 4.40408i | − | 0.202500i | ||||||
\(474\) | 16.8990 | 0.776196 | ||||||||
\(475\) | 7.59592 | − | 1.55051i | 0.348525 | − | 0.0711423i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 32.6969i | − | 1.49709i | ||||||
\(478\) | − | 6.20204i | − | 0.283675i | ||||||
\(479\) | 9.30306 | 0.425068 | 0.212534 | − | 0.977154i | \(-0.431828\pi\) | ||||
0.212534 | + | 0.977154i | \(0.431828\pi\) | |||||||
\(480\) | 5.44949 | − | 0.550510i | 0.248734 | − | 0.0251272i | ||||
\(481\) | −8.89898 | −0.405759 | ||||||||
\(482\) | − | 8.69694i | − | 0.396135i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −13.0000 | −0.590909 | ||||||||
\(485\) | 3.55051 | + | 35.1464i | 0.161220 | + | 1.59592i | ||||
\(486\) | 22.0454 | 1.00000 | ||||||||
\(487\) | − | 7.30306i | − | 0.330933i | −0.986215 | − | 0.165467i | \(-0.947087\pi\) | ||
0.986215 | − | 0.165467i | \(-0.0529130\pi\) | |||||||
\(488\) | − | 3.55051i | − | 0.160724i | ||||||
\(489\) | 17.3939 | 0.786578 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 19.5959 | 0.884351 | 0.442176 | − | 0.896928i | \(-0.354207\pi\) | ||||
0.442176 | + | 0.896928i | \(0.354207\pi\) | |||||||
\(492\) | 2.69694i | 0.121587i | ||||||||
\(493\) | 13.7980i | 0.621429i | ||||||||
\(494\) | 6.89898 | 0.310400 | ||||||||
\(495\) | −32.6969 | + | 3.30306i | −1.46962 | + | 0.148462i | ||||
\(496\) | −8.89898 | −0.399576 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 6.00000i | 0.268866i | ||||||||
\(499\) | −6.20204 | −0.277641 | −0.138821 | − | 0.990318i | \(-0.544331\pi\) | ||||
−0.138821 | + | 0.990318i | \(0.544331\pi\) | |||||||
\(500\) | 10.6742 | − | 3.32577i | 0.477366 | − | 0.148733i | ||||
\(501\) | 12.0000 | 0.536120 | ||||||||
\(502\) | − | 6.44949i | − | 0.287855i | ||||||
\(503\) | − | 4.00000i | − | 0.178351i | −0.996016 | − | 0.0891756i | \(-0.971577\pi\) | ||
0.996016 | − | 0.0891756i | \(-0.0284232\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.89898 | − | 0.797959i | 0.351500 | − | 0.0355087i | ||||
\(506\) | 14.2020 | 0.631358 | ||||||||
\(507\) | 16.6515i | 0.739520i | ||||||||
\(508\) | 14.8990i | 0.661035i | ||||||||
\(509\) | −31.5505 | −1.39845 | −0.699226 | − | 0.714901i | \(-0.746472\pi\) | ||||
−0.699226 | + | 0.714901i | \(0.746472\pi\) | |||||||
\(510\) | −1.10102 | − | 10.8990i | −0.0487540 | − | 0.482615i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 8.69694 | 0.383606 | ||||||||
\(515\) | −2.89898 | − | 28.6969i | −0.127744 | − | 1.26454i | ||||
\(516\) | −2.20204 | −0.0969395 | ||||||||
\(517\) | 43.5959i | 1.91735i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −15.3031 | −0.671730 | ||||||||
\(520\) | 9.89898 | − | 1.00000i | 0.434099 | − | 0.0438529i | ||||
\(521\) | −32.6969 | −1.43248 | −0.716239 | − | 0.697855i | \(-0.754138\pi\) | ||||
−0.716239 | + | 0.697855i | \(0.754138\pi\) | |||||||
\(522\) | − | 20.6969i | − | 0.905880i | ||||||
\(523\) | − | 33.1464i | − | 1.44939i | −0.689069 | − | 0.724696i | \(-0.741980\pi\) | ||
0.689069 | − | 0.724696i | \(-0.258020\pi\) | |||||||
\(524\) | −6.44949 | −0.281747 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.79796 | −0.427211 | ||||||||
\(527\) | 17.7980i | 0.775291i | ||||||||
\(528\) | 12.0000i | 0.522233i | ||||||||
\(529\) | 14.5959 | 0.634605 | ||||||||
\(530\) | −24.2474 | + | 2.44949i | −1.05324 | + | 0.106399i | ||||
\(531\) | 4.65153 | 0.201859 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 4.89898i | 0.212198i | ||||||||
\(534\) | 24.4949 | 1.06000 | ||||||||
\(535\) | 1.79796 | + | 17.7980i | 0.0777325 | + | 0.769473i | ||||
\(536\) | 8.00000 | 0.345547 | ||||||||
\(537\) | 33.7980i | 1.45849i | ||||||||
\(538\) | − | 19.1464i | − | 0.825461i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.59592 | 0.412561 | 0.206280 | − | 0.978493i | \(-0.433864\pi\) | ||||
0.206280 | + | 0.978493i | \(0.433864\pi\) | |||||||
\(542\) | 12.0000i | 0.515444i | ||||||||
\(543\) | − | 25.1010i | − | 1.07719i | ||||||
\(544\) | −2.00000 | −0.0857493 | ||||||||
\(545\) | 15.3485 | − | 1.55051i | 0.657456 | − | 0.0664166i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 18.6969i | − | 0.799423i | −0.916641 | − | 0.399712i | \(-0.869110\pi\) | ||
0.916641 | − | 0.399712i | \(-0.130890\pi\) | |||||||
\(548\) | 1.79796i | 0.0768050i | ||||||||
\(549\) | 10.6515 | 0.454596 | ||||||||
\(550\) | 4.89898 | + | 24.0000i | 0.208893 | + | 1.02336i | ||||
\(551\) | −10.6969 | −0.455705 | ||||||||
\(552\) | − | 7.10102i | − | 0.302240i | ||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −14.8990 | −0.632997 | ||||||||
\(555\) | −10.8990 | + | 1.10102i | −0.462636 | + | 0.0467357i | ||||
\(556\) | −1.55051 | −0.0657563 | ||||||||
\(557\) | 12.6969i | 0.537987i | 0.963142 | + | 0.268993i | \(0.0866909\pi\) | ||||
−0.963142 | + | 0.268993i | \(0.913309\pi\) | |||||||
\(558\) | − | 26.6969i | − | 1.13017i | ||||||
\(559\) | −4.00000 | −0.169182 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 24.0000 | 1.01328 | ||||||||
\(562\) | 18.0000i | 0.759284i | ||||||||
\(563\) | − | 30.0454i | − | 1.26626i | −0.774044 | − | 0.633131i | \(-0.781769\pi\) | ||
0.774044 | − | 0.633131i | \(-0.218231\pi\) | |||||||
\(564\) | 21.7980 | 0.917860 | ||||||||
\(565\) | 4.44949 | + | 44.0454i | 0.187191 | + | 1.85300i | ||||
\(566\) | 3.75255 | 0.157731 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 1.10102i | − | 0.0461978i | ||||||
\(569\) | −33.7980 | −1.41688 | −0.708442 | − | 0.705769i | \(-0.750602\pi\) | ||||
−0.708442 | + | 0.705769i | \(0.750602\pi\) | |||||||
\(570\) | 8.44949 | − | 0.853572i | 0.353910 | − | 0.0357522i | ||||
\(571\) | −11.1010 | −0.464563 | −0.232282 | − | 0.972649i | \(-0.574619\pi\) | ||||
−0.232282 | + | 0.972649i | \(0.574619\pi\) | |||||||
\(572\) | 21.7980i | 0.911418i | ||||||||
\(573\) | − | 31.1010i | − | 1.29926i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.89898 | − | 14.2020i | −0.120896 | − | 0.592266i | ||||
\(576\) | 3.00000 | 0.125000 | ||||||||
\(577\) | 2.49490i | 0.103864i | 0.998651 | + | 0.0519320i | \(0.0165379\pi\) | ||||
−0.998651 | + | 0.0519320i | \(0.983462\pi\) | |||||||
\(578\) | − | 13.0000i | − | 0.540729i | ||||||
\(579\) | 52.8990 | 2.19841 | ||||||||
\(580\) | −15.3485 | + | 1.55051i | −0.637310 | + | 0.0643814i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 38.6969i | 1.60404i | ||||||||
\(583\) | − | 53.3939i | − | 2.21135i | ||||||
\(584\) | −2.89898 | −0.119961 | ||||||||
\(585\) | 3.00000 | + | 29.6969i | 0.124035 | + | 1.22782i | ||||
\(586\) | 18.2474 | 0.753795 | ||||||||
\(587\) | − | 1.14643i | − | 0.0473182i | −0.999720 | − | 0.0236591i | \(-0.992468\pi\) | ||
0.999720 | − | 0.0236591i | \(-0.00753162\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.7980 | −0.568535 | ||||||||
\(590\) | −0.348469 | − | 3.44949i | −0.0143463 | − | 0.142013i | ||||
\(591\) | 46.2929 | 1.90423 | ||||||||
\(592\) | 2.00000i | 0.0821995i | ||||||||
\(593\) | − | 10.8990i | − | 0.447567i | −0.974639 | − | 0.223784i | \(-0.928159\pi\) | ||
0.974639 | − | 0.223784i | \(-0.0718409\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −3.79796 | −0.155570 | ||||||||
\(597\) | − | 41.3939i | − | 1.69414i | ||||||
\(598\) | − | 12.8990i | − | 0.527478i | ||||||
\(599\) | 13.1010 | 0.535293 | 0.267647 | − | 0.963517i | \(-0.413754\pi\) | ||||
0.267647 | + | 0.963517i | \(0.413754\pi\) | |||||||
\(600\) | 12.0000 | − | 2.44949i | 0.489898 | − | 0.100000i | ||||
\(601\) | 39.3939 | 1.60691 | 0.803455 | − | 0.595366i | \(-0.202993\pi\) | ||||
0.803455 | + | 0.595366i | \(0.202993\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 24.0000i | 0.977356i | ||||||||
\(604\) | −19.5959 | −0.797347 | ||||||||
\(605\) | −28.9217 | + | 2.92168i | −1.17583 | + | 0.118783i | ||||
\(606\) | 8.69694 | 0.353289 | ||||||||
\(607\) | − | 33.3939i | − | 1.35542i | −0.735331 | − | 0.677708i | \(-0.762973\pi\) | ||
0.735331 | − | 0.677708i | \(-0.237027\pi\) | |||||||
\(608\) | − | 1.55051i | − | 0.0628815i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.797959 | − | 7.89898i | −0.0323084 | − | 0.319820i | ||||
\(611\) | 39.5959 | 1.60188 | ||||||||
\(612\) | − | 6.00000i | − | 0.242536i | ||||||
\(613\) | 27.7980i | 1.12275i | 0.827562 | + | 0.561374i | \(0.189727\pi\) | ||||
−0.827562 | + | 0.561374i | \(0.810273\pi\) | |||||||
\(614\) | 20.2474 | 0.817121 | ||||||||
\(615\) | 0.606123 | + | 6.00000i | 0.0244412 | + | 0.241943i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 29.5959i | 1.19149i | 0.803175 | + | 0.595743i | \(0.203142\pi\) | ||||
−0.803175 | + | 0.595743i | \(0.796858\pi\) | |||||||
\(618\) | − | 31.5959i | − | 1.27097i | ||||||
\(619\) | −41.5505 | −1.67006 | −0.835028 | − | 0.550207i | \(-0.814549\pi\) | ||||
−0.835028 | + | 0.550207i | \(0.814549\pi\) | |||||||
\(620\) | −19.7980 | + | 2.00000i | −0.795105 | + | 0.0803219i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 12.0000i | 0.481156i | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 10.8990 | 0.436308 | ||||||||
\(625\) | 23.0000 | − | 9.79796i | 0.920000 | − | 0.391918i | ||||
\(626\) | −21.5959 | −0.863146 | ||||||||
\(627\) | 18.6061i | 0.743057i | ||||||||
\(628\) | 3.55051i | 0.141681i | ||||||||
\(629\) | 4.00000 | 0.159490 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −42.4949 | −1.69170 | −0.845848 | − | 0.533425i | \(-0.820905\pi\) | ||||
−0.845848 | + | 0.533425i | \(0.820905\pi\) | |||||||
\(632\) | − | 6.89898i | − | 0.274427i | ||||||
\(633\) | − | 29.3939i | − | 1.16830i | ||||||
\(634\) | −22.4949 | −0.893387 | ||||||||
\(635\) | 3.34847 | + | 33.1464i | 0.132880 | + | 1.31538i | ||||
\(636\) | −26.6969 | −1.05860 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 33.7980i | − | 1.33807i | ||||||
\(639\) | 3.30306 | 0.130667 | ||||||||
\(640\) | −0.224745 | − | 2.22474i | −0.00888382 | − | 0.0879408i | ||||
\(641\) | 25.7980 | 1.01896 | 0.509479 | − | 0.860483i | \(-0.329838\pi\) | ||||
0.509479 | + | 0.860483i | \(0.329838\pi\) | |||||||
\(642\) | 19.5959i | 0.773389i | ||||||||
\(643\) | 25.1464i | 0.991678i | 0.868414 | + | 0.495839i | \(0.165139\pi\) | ||||
−0.868414 | + | 0.495839i | \(0.834861\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −4.89898 | + | 0.494897i | −0.192897 | + | 0.0194866i | ||||
\(646\) | −3.10102 | −0.122008 | ||||||||
\(647\) | 46.2929i | 1.81996i | 0.414652 | + | 0.909980i | \(0.363903\pi\) | ||||
−0.414652 | + | 0.909980i | \(0.636097\pi\) | |||||||
\(648\) | − | 9.00000i | − | 0.353553i | ||||||
\(649\) | 7.59592 | 0.298166 | ||||||||
\(650\) | 21.7980 | − | 4.44949i | 0.854986 | − | 0.174523i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | − | 7.10102i | − | 0.278097i | ||||||
\(653\) | 20.2020i | 0.790567i | 0.918559 | + | 0.395283i | \(0.129354\pi\) | ||||
−0.918559 | + | 0.395283i | \(0.870646\pi\) | |||||||
\(654\) | 16.8990 | 0.660802 | ||||||||
\(655\) | −14.3485 | + | 1.44949i | −0.560641 | + | 0.0566363i | ||||
\(656\) | 1.10102 | 0.0429876 | ||||||||
\(657\) | − | 8.69694i | − | 0.339300i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −16.8990 | −0.658291 | −0.329145 | − | 0.944279i | \(-0.606761\pi\) | ||||
−0.329145 | + | 0.944279i | \(0.606761\pi\) | |||||||
\(660\) | 2.69694 | + | 26.6969i | 0.104978 | + | 1.03918i | ||||
\(661\) | 40.9444 | 1.59255 | 0.796276 | − | 0.604933i | \(-0.206800\pi\) | ||||
0.796276 | + | 0.604933i | \(0.206800\pi\) | |||||||
\(662\) | 18.6969i | 0.726677i | ||||||||
\(663\) | − | 21.7980i | − | 0.846563i | ||||||
\(664\) | 2.44949 | 0.0950586 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −6.00000 | −0.232495 | ||||||||
\(667\) | 20.0000i | 0.774403i | ||||||||
\(668\) | − | 4.89898i | − | 0.189547i | ||||||
\(669\) | −9.79796 | −0.378811 | ||||||||
\(670\) | 17.7980 | − | 1.79796i | 0.687595 | − | 0.0694612i | ||||
\(671\) | 17.3939 | 0.671483 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.7980i | 0.686061i | 0.939324 | + | 0.343030i | \(0.111453\pi\) | ||||
−0.939324 | + | 0.343030i | \(0.888547\pi\) | |||||||
\(674\) | 9.59592 | 0.369621 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.79796 | 0.261460 | ||||||||
\(677\) | 36.4495i | 1.40087i | 0.713717 | + | 0.700434i | \(0.247010\pi\) | ||||
−0.713717 | + | 0.700434i | \(0.752990\pi\) | |||||||
\(678\) | 48.4949i | 1.86244i | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −4.44949 | + | 0.449490i | −0.170630 | + | 0.0172371i | ||||
\(681\) | −18.0000 | −0.689761 | ||||||||
\(682\) | − | 43.5959i | − | 1.66937i | ||||||
\(683\) | − | 3.59592i | − | 0.137594i | −0.997631 | − | 0.0687970i | \(-0.978084\pi\) | ||
0.997631 | − | 0.0687970i | \(-0.0219161\pi\) | |||||||
\(684\) | 4.65153 | 0.177856 | ||||||||
\(685\) | 0.404082 | + | 4.00000i | 0.0154392 | + | 0.152832i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 46.8990i | 1.78931i | ||||||||
\(688\) | 0.898979i | 0.0342733i | ||||||||
\(689\) | −48.4949 | −1.84751 | ||||||||
\(690\) | −1.59592 | − | 15.7980i | −0.0607556 | − | 0.601418i | ||||
\(691\) | −21.1464 | −0.804448 | −0.402224 | − | 0.915541i | \(-0.631763\pi\) | ||||
−0.402224 | + | 0.915541i | \(0.631763\pi\) | |||||||
\(692\) | 6.24745i | 0.237492i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 28.8990 | 1.09699 | ||||||||
\(695\) | −3.44949 | + | 0.348469i | −0.130847 | + | 0.0132182i | ||||
\(696\) | −16.8990 | −0.640554 | ||||||||
\(697\) | − | 2.20204i | − | 0.0834083i | ||||||
\(698\) | 8.44949i | 0.319818i | ||||||||
\(699\) | −72.9898 | −2.76073 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.3031 | 0.426911 | 0.213455 | − | 0.976953i | \(-0.431528\pi\) | ||||
0.213455 | + | 0.976953i | \(0.431528\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.10102i | 0.116957i | ||||||||
\(704\) | 4.89898 | 0.184637 | ||||||||
\(705\) | 48.4949 | − | 4.89898i | 1.82642 | − | 0.184506i | ||||
\(706\) | 22.8990 | 0.861814 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | − | 3.79796i | − | 0.142736i | ||||||
\(709\) | 28.2929 | 1.06256 | 0.531280 | − | 0.847196i | \(-0.321711\pi\) | ||||
0.531280 | + | 0.847196i | \(0.321711\pi\) | |||||||
\(710\) | −0.247449 | − | 2.44949i | −0.00928658 | − | 0.0919277i | ||||
\(711\) | 20.6969 | 0.776196 | ||||||||
\(712\) | − | 10.0000i | − | 0.374766i | ||||||
\(713\) | 25.7980i | 0.966141i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.89898 | + | 48.4949i | 0.183211 | + | 1.81361i | ||||
\(716\) | 13.7980 | 0.515654 | ||||||||
\(717\) | − | 15.1918i | − | 0.567350i | ||||||
\(718\) | − | 27.5959i | − | 1.02987i | ||||||
\(719\) | −4.49490 | −0.167631 | −0.0838157 | − | 0.996481i | \(-0.526711\pi\) | ||||
−0.0838157 | + | 0.996481i | \(0.526711\pi\) | |||||||
\(720\) | 6.67423 | − | 0.674235i | 0.248734 | − | 0.0251272i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 16.5959i | 0.617636i | ||||||||
\(723\) | − | 21.3031i | − | 0.792269i | ||||||
\(724\) | −10.2474 | −0.380843 | ||||||||
\(725\) | −33.7980 | + | 6.89898i | −1.25522 | + | 0.256222i | ||||
\(726\) | −31.8434 | −1.18182 | ||||||||
\(727\) | − | 22.6969i | − | 0.841783i | −0.907111 | − | 0.420891i | \(-0.861717\pi\) | ||
0.907111 | − | 0.420891i | \(-0.138283\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 27.0000 | 1.00000 | ||||||||
\(730\) | −6.44949 | + | 0.651531i | −0.238706 | + | 0.0241142i | ||||
\(731\) | 1.79796 | 0.0664999 | ||||||||
\(732\) | − | 8.69694i | − | 0.321448i | ||||||
\(733\) | 39.6413i | 1.46419i | 0.681205 | + | 0.732093i | \(0.261456\pi\) | ||||
−0.681205 | + | 0.732093i | \(0.738544\pi\) | |||||||
\(734\) | −32.0000 | −1.18114 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.89898 | −0.106858 | ||||||||
\(737\) | 39.1918i | 1.44365i | ||||||||
\(738\) | 3.30306i | 0.121587i | ||||||||
\(739\) | −4.49490 | −0.165347 | −0.0826737 | − | 0.996577i | \(-0.526346\pi\) | ||||
−0.0826737 | + | 0.996577i | \(0.526346\pi\) | |||||||
\(740\) | 0.449490 | + | 4.44949i | 0.0165236 | + | 0.163566i | ||||
\(741\) | 16.8990 | 0.620800 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 44.6969i | 1.63977i | 0.572527 | + | 0.819886i | \(0.305963\pi\) | ||||
−0.572527 | + | 0.819886i | \(0.694037\pi\) | |||||||
\(744\) | −21.7980 | −0.799152 | ||||||||
\(745\) | −8.44949 | + | 0.853572i | −0.309565 | + | 0.0312725i | ||||
\(746\) | 4.69694 | 0.171967 | ||||||||
\(747\) | 7.34847i | 0.268866i | ||||||||
\(748\) | − | 9.79796i | − | 0.358249i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 26.1464 | − | 8.14643i | 0.954733 | − | 0.297465i | ||||
\(751\) | −41.7980 | −1.52523 | −0.762615 | − | 0.646853i | \(-0.776085\pi\) | ||||
−0.762615 | + | 0.646853i | \(0.776085\pi\) | |||||||
\(752\) | − | 8.89898i | − | 0.324512i | ||||||
\(753\) | − | 15.7980i | − | 0.575710i | ||||||
\(754\) | −30.6969 | −1.11792 | ||||||||
\(755\) | −43.5959 | + | 4.40408i | −1.58662 | + | 0.160281i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 51.7980i | − | 1.88263i | −0.337531 | − | 0.941314i | \(-0.609592\pi\) | ||
0.337531 | − | 0.941314i | \(-0.390408\pi\) | |||||||
\(758\) | 30.6969i | 1.11496i | ||||||||
\(759\) | 34.7878 | 1.26272 | ||||||||
\(760\) | −0.348469 | − | 3.44949i | −0.0126403 | − | 0.125126i | ||||
\(761\) | 21.1010 | 0.764911 | 0.382456 | − | 0.923974i | \(-0.375078\pi\) | ||||
0.382456 | + | 0.923974i | \(0.375078\pi\) | |||||||
\(762\) | 36.4949i | 1.32207i | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −12.6969 | −0.459359 | ||||||||
\(765\) | −1.34847 | − | 13.3485i | −0.0487540 | − | 0.482615i | ||||
\(766\) | −7.10102 | −0.256570 | ||||||||
\(767\) | − | 6.89898i | − | 0.249108i | ||||||
\(768\) | − | 2.44949i | − | 0.0883883i | ||||||
\(769\) | −40.6969 | −1.46757 | −0.733785 | − | 0.679382i | \(-0.762248\pi\) | ||||
−0.733785 | + | 0.679382i | \(0.762248\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 21.3031 | 0.767211 | ||||||||
\(772\) | − | 21.5959i | − | 0.777254i | ||||||
\(773\) | 1.34847i | 0.0485011i | 0.999706 | + | 0.0242505i | \(0.00771994\pi\) | ||||
−0.999706 | + | 0.0242505i | \(0.992280\pi\) | |||||||
\(774\) | −2.69694 | −0.0969395 | ||||||||
\(775\) | −43.5959 | + | 8.89898i | −1.56601 | + | 0.319661i | ||||
\(776\) | 15.7980 | 0.567114 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 13.1010i | 0.469694i | ||||||||
\(779\) | 1.70714 | 0.0611648 | ||||||||
\(780\) | 24.2474 | − | 2.44949i | 0.868198 | − | 0.0877058i | ||||
\(781\) | 5.39388 | 0.193008 | ||||||||
\(782\) | 5.79796i | 0.207335i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.797959 | + | 7.89898i | 0.0284804 | + | 0.281927i | ||||
\(786\) | −15.7980 | −0.563495 | ||||||||
\(787\) | − | 50.4495i | − | 1.79833i | −0.437610 | − | 0.899165i | \(-0.644175\pi\) | ||
0.437610 | − | 0.899165i | \(-0.355825\pi\) | |||||||
\(788\) | − | 18.8990i | − | 0.673248i | ||||||
\(789\) | −24.0000 | −0.854423 | ||||||||
\(790\) | −1.55051 | − | 15.3485i | −0.0551647 |