Newspace parameters
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.j (of order \(6\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
Defining polynomial: |
\( x^{4} - x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 316.1 | ||
Root | \(-0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.316 |
Dual form | 507.2.j.e.361.1 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | 0.161521 | − | 0.986869i | \(-0.448360\pi\) |
−0.773893 | + | 0.633316i | \(0.781693\pi\) | |||||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 2.00000i | 0.894427i | 0.894427 | + | 0.447214i | \(0.147584\pi\) | ||||
−0.894427 | + | 0.447214i | \(0.852416\pi\) | |||||||
\(6\) | −0.866025 | + | 0.500000i | −0.353553 | + | 0.204124i | ||||
\(7\) | 3.46410 | − | 2.00000i | 1.30931 | − | 0.755929i | 0.327327 | − | 0.944911i | \(-0.393852\pi\) |
0.981981 | + | 0.188982i | \(0.0605189\pi\) | |||||||
\(8\) | 3.00000i | 1.06066i | ||||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | 1.00000 | − | 1.73205i | 0.316228 | − | 0.547723i | ||||
\(11\) | 3.46410 | + | 2.00000i | 1.04447 | + | 0.603023i | 0.921095 | − | 0.389338i | \(-0.127296\pi\) |
0.123371 | + | 0.992361i | \(0.460630\pi\) | |||||||
\(12\) | −1.00000 | −0.288675 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −4.00000 | −1.06904 | ||||||||
\(15\) | 1.73205 | + | 1.00000i | 0.447214 | + | 0.258199i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 1.00000 | + | 1.73205i | 0.242536 | + | 0.420084i | 0.961436 | − | 0.275029i | \(-0.0886875\pi\) |
−0.718900 | + | 0.695113i | \(0.755354\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(20\) | 1.73205 | − | 1.00000i | 0.387298 | − | 0.223607i | ||||
\(21\) | − | 4.00000i | − | 0.872872i | ||||||
\(22\) | −2.00000 | − | 3.46410i | −0.426401 | − | 0.738549i | ||||
\(23\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(24\) | 2.59808 | + | 1.50000i | 0.530330 | + | 0.306186i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −3.46410 | − | 2.00000i | −0.654654 | − | 0.377964i | ||||
\(29\) | 5.00000 | − | 8.66025i | 0.928477 | − | 1.60817i | 0.142605 | − | 0.989780i | \(-0.454452\pi\) |
0.785872 | − | 0.618389i | \(-0.212214\pi\) | |||||||
\(30\) | −1.00000 | − | 1.73205i | −0.182574 | − | 0.316228i | ||||
\(31\) | 4.00000i | 0.718421i | 0.933257 | + | 0.359211i | \(0.116954\pi\) | ||||
−0.933257 | + | 0.359211i | \(0.883046\pi\) | |||||||
\(32\) | 4.33013 | − | 2.50000i | 0.765466 | − | 0.441942i | ||||
\(33\) | 3.46410 | − | 2.00000i | 0.603023 | − | 0.348155i | ||||
\(34\) | − | 2.00000i | − | 0.342997i | ||||||
\(35\) | 4.00000 | + | 6.92820i | 0.676123 | + | 1.17108i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | −1.73205 | − | 1.00000i | −0.284747 | − | 0.164399i | 0.350823 | − | 0.936442i | \(-0.385902\pi\) |
−0.635571 | + | 0.772043i | \(0.719235\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −6.00000 | −0.948683 | ||||||||
\(41\) | −5.19615 | − | 3.00000i | −0.811503 | − | 0.468521i | 0.0359748 | − | 0.999353i | \(-0.488546\pi\) |
−0.847477 | + | 0.530831i | \(0.821880\pi\) | |||||||
\(42\) | −2.00000 | + | 3.46410i | −0.308607 | + | 0.534522i | ||||
\(43\) | −6.00000 | − | 10.3923i | −0.914991 | − | 1.58481i | −0.806914 | − | 0.590669i | \(-0.798864\pi\) |
−0.108078 | − | 0.994142i | \(-0.534469\pi\) | |||||||
\(44\) | − | 4.00000i | − | 0.603023i | ||||||
\(45\) | 1.73205 | − | 1.00000i | 0.258199 | − | 0.149071i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(48\) | −0.500000 | − | 0.866025i | −0.0721688 | − | 0.125000i | ||||
\(49\) | 4.50000 | − | 7.79423i | 0.642857 | − | 1.11346i | ||||
\(50\) | −0.866025 | − | 0.500000i | −0.122474 | − | 0.0707107i | ||||
\(51\) | 2.00000 | 0.280056 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.00000 | 0.824163 | 0.412082 | − | 0.911147i | \(-0.364802\pi\) | ||||
0.412082 | + | 0.911147i | \(0.364802\pi\) | |||||||
\(54\) | 0.866025 | + | 0.500000i | 0.117851 | + | 0.0680414i | ||||
\(55\) | −4.00000 | + | 6.92820i | −0.539360 | + | 0.934199i | ||||
\(56\) | 6.00000 | + | 10.3923i | 0.801784 | + | 1.38873i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −8.66025 | + | 5.00000i | −1.13715 | + | 0.656532i | ||||
\(59\) | −10.3923 | + | 6.00000i | −1.35296 | + | 0.781133i | −0.988663 | − | 0.150148i | \(-0.952025\pi\) |
−0.364299 | + | 0.931282i | \(0.618692\pi\) | |||||||
\(60\) | − | 2.00000i | − | 0.258199i | ||||||
\(61\) | 1.00000 | + | 1.73205i | 0.128037 | + | 0.221766i | 0.922916 | − | 0.385002i | \(-0.125799\pi\) |
−0.794879 | + | 0.606768i | \(0.792466\pi\) | |||||||
\(62\) | 2.00000 | − | 3.46410i | 0.254000 | − | 0.439941i | ||||
\(63\) | −3.46410 | − | 2.00000i | −0.436436 | − | 0.251976i | ||||
\(64\) | −7.00000 | −0.875000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −4.00000 | −0.492366 | ||||||||
\(67\) | 6.92820 | + | 4.00000i | 0.846415 | + | 0.488678i | 0.859440 | − | 0.511237i | \(-0.170813\pi\) |
−0.0130248 | + | 0.999915i | \(0.504146\pi\) | |||||||
\(68\) | 1.00000 | − | 1.73205i | 0.121268 | − | 0.210042i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | − | 8.00000i | − | 0.956183i | ||||||
\(71\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(72\) | 2.59808 | − | 1.50000i | 0.306186 | − | 0.176777i | ||||
\(73\) | − | 2.00000i | − | 0.234082i | −0.993127 | − | 0.117041i | \(-0.962659\pi\) | ||
0.993127 | − | 0.117041i | \(-0.0373409\pi\) | |||||||
\(74\) | 1.00000 | + | 1.73205i | 0.116248 | + | 0.201347i | ||||
\(75\) | 0.500000 | − | 0.866025i | 0.0577350 | − | 0.100000i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 16.0000 | 1.82337 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.00000 | 0.900070 | 0.450035 | − | 0.893011i | \(-0.351411\pi\) | ||||
0.450035 | + | 0.893011i | \(0.351411\pi\) | |||||||
\(80\) | 1.73205 | + | 1.00000i | 0.193649 | + | 0.111803i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 3.00000 | + | 5.19615i | 0.331295 | + | 0.573819i | ||||
\(83\) | 4.00000i | 0.439057i | 0.975606 | + | 0.219529i | \(0.0704519\pi\) | ||||
−0.975606 | + | 0.219529i | \(0.929548\pi\) | |||||||
\(84\) | −3.46410 | + | 2.00000i | −0.377964 | + | 0.218218i | ||||
\(85\) | −3.46410 | + | 2.00000i | −0.375735 | + | 0.216930i | ||||
\(86\) | 12.0000i | 1.29399i | ||||||||
\(87\) | −5.00000 | − | 8.66025i | −0.536056 | − | 0.928477i | ||||
\(88\) | −6.00000 | + | 10.3923i | −0.639602 | + | 1.10782i | ||||
\(89\) | −1.73205 | − | 1.00000i | −0.183597 | − | 0.106000i | 0.405385 | − | 0.914146i | \(-0.367138\pi\) |
−0.588982 | + | 0.808146i | \(0.700471\pi\) | |||||||
\(90\) | −2.00000 | −0.210819 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 3.46410 | + | 2.00000i | 0.359211 | + | 0.207390i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | − | 5.00000i | − | 0.510310i | ||||||
\(97\) | 8.66025 | − | 5.00000i | 0.879316 | − | 0.507673i | 0.00888289 | − | 0.999961i | \(-0.497172\pi\) |
0.870433 | + | 0.492287i | \(0.163839\pi\) | |||||||
\(98\) | −7.79423 | + | 4.50000i | −0.787336 | + | 0.454569i | ||||
\(99\) | − | 4.00000i | − | 0.402015i | ||||||
\(100\) | −0.500000 | − | 0.866025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | −9.00000 | + | 15.5885i | −0.895533 | + | 1.55111i | −0.0623905 | + | 0.998052i | \(0.519872\pi\) |
−0.833143 | + | 0.553058i | \(0.813461\pi\) | |||||||
\(102\) | −1.73205 | − | 1.00000i | −0.171499 | − | 0.0990148i | ||||
\(103\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.00000 | 0.780720 | ||||||||
\(106\) | −5.19615 | − | 3.00000i | −0.504695 | − | 0.291386i | ||||
\(107\) | −6.00000 | + | 10.3923i | −0.580042 | + | 1.00466i | 0.415432 | + | 0.909624i | \(0.363630\pi\) |
−0.995474 | + | 0.0950377i | \(0.969703\pi\) | |||||||
\(108\) | 0.500000 | + | 0.866025i | 0.0481125 | + | 0.0833333i | ||||
\(109\) | − | 2.00000i | − | 0.191565i | −0.995402 | − | 0.0957826i | \(-0.969465\pi\) | ||
0.995402 | − | 0.0957826i | \(-0.0305354\pi\) | |||||||
\(110\) | 6.92820 | − | 4.00000i | 0.660578 | − | 0.381385i | ||||
\(111\) | −1.73205 | + | 1.00000i | −0.164399 | + | 0.0949158i | ||||
\(112\) | − | 4.00000i | − | 0.377964i | ||||||
\(113\) | 3.00000 | + | 5.19615i | 0.282216 | + | 0.488813i | 0.971930 | − | 0.235269i | \(-0.0755971\pi\) |
−0.689714 | + | 0.724082i | \(0.742264\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −10.0000 | −0.928477 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 12.0000 | 1.10469 | ||||||||
\(119\) | 6.92820 | + | 4.00000i | 0.635107 | + | 0.366679i | ||||
\(120\) | −3.00000 | + | 5.19615i | −0.273861 | + | 0.474342i | ||||
\(121\) | 2.50000 | + | 4.33013i | 0.227273 | + | 0.393648i | ||||
\(122\) | − | 2.00000i | − | 0.181071i | ||||||
\(123\) | −5.19615 | + | 3.00000i | −0.468521 | + | 0.270501i | ||||
\(124\) | 3.46410 | − | 2.00000i | 0.311086 | − | 0.179605i | ||||
\(125\) | 12.0000i | 1.07331i | ||||||||
\(126\) | 2.00000 | + | 3.46410i | 0.178174 | + | 0.308607i | ||||
\(127\) | −8.00000 | + | 13.8564i | −0.709885 | + | 1.22956i | 0.255014 | + | 0.966937i | \(0.417920\pi\) |
−0.964899 | + | 0.262620i | \(0.915413\pi\) | |||||||
\(128\) | −2.59808 | − | 1.50000i | −0.229640 | − | 0.132583i | ||||
\(129\) | −12.0000 | −1.05654 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.00000 | 0.349482 | 0.174741 | − | 0.984614i | \(-0.444091\pi\) | ||||
0.174741 | + | 0.984614i | \(0.444091\pi\) | |||||||
\(132\) | −3.46410 | − | 2.00000i | −0.301511 | − | 0.174078i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.00000 | − | 6.92820i | −0.345547 | − | 0.598506i | ||||
\(135\) | − | 2.00000i | − | 0.172133i | ||||||
\(136\) | −5.19615 | + | 3.00000i | −0.445566 | + | 0.257248i | ||||
\(137\) | −5.19615 | + | 3.00000i | −0.443937 | + | 0.256307i | −0.705266 | − | 0.708942i | \(-0.749173\pi\) |
0.261329 | + | 0.965250i | \(0.415839\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.00000 | − | 10.3923i | −0.508913 | − | 0.881464i | −0.999947 | − | 0.0103230i | \(-0.996714\pi\) |
0.491033 | − | 0.871141i | \(-0.336619\pi\) | |||||||
\(140\) | 4.00000 | − | 6.92820i | 0.338062 | − | 0.585540i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | 17.3205 | + | 10.0000i | 1.43839 | + | 0.830455i | ||||
\(146\) | −1.00000 | + | 1.73205i | −0.0827606 | + | 0.143346i | ||||
\(147\) | −4.50000 | − | 7.79423i | −0.371154 | − | 0.642857i | ||||
\(148\) | 2.00000i | 0.164399i | ||||||||
\(149\) | −5.19615 | + | 3.00000i | −0.425685 | + | 0.245770i | −0.697507 | − | 0.716578i | \(-0.745707\pi\) |
0.271821 | + | 0.962348i | \(0.412374\pi\) | |||||||
\(150\) | −0.866025 | + | 0.500000i | −0.0707107 | + | 0.0408248i | ||||
\(151\) | − | 4.00000i | − | 0.325515i | −0.986666 | − | 0.162758i | \(-0.947961\pi\) | ||
0.986666 | − | 0.162758i | \(-0.0520389\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.00000 | − | 1.73205i | 0.0808452 | − | 0.140028i | ||||
\(154\) | −13.8564 | − | 8.00000i | −1.11658 | − | 0.644658i | ||||
\(155\) | −8.00000 | −0.642575 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −18.0000 | −1.43656 | −0.718278 | − | 0.695756i | \(-0.755069\pi\) | ||||
−0.718278 | + | 0.695756i | \(0.755069\pi\) | |||||||
\(158\) | −6.92820 | − | 4.00000i | −0.551178 | − | 0.318223i | ||||
\(159\) | 3.00000 | − | 5.19615i | 0.237915 | − | 0.412082i | ||||
\(160\) | 5.00000 | + | 8.66025i | 0.395285 | + | 0.684653i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0.866025 | − | 0.500000i | 0.0680414 | − | 0.0392837i | ||||
\(163\) | −6.92820 | + | 4.00000i | −0.542659 | + | 0.313304i | −0.746156 | − | 0.665771i | \(-0.768103\pi\) |
0.203497 | + | 0.979076i | \(0.434769\pi\) | |||||||
\(164\) | 6.00000i | 0.468521i | ||||||||
\(165\) | 4.00000 | + | 6.92820i | 0.311400 | + | 0.539360i | ||||
\(166\) | 2.00000 | − | 3.46410i | 0.155230 | − | 0.268866i | ||||
\(167\) | −6.92820 | − | 4.00000i | −0.536120 | − | 0.309529i | 0.207385 | − | 0.978259i | \(-0.433505\pi\) |
−0.743505 | + | 0.668730i | \(0.766838\pi\) | |||||||
\(168\) | 12.0000 | 0.925820 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 4.00000 | 0.306786 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −6.00000 | + | 10.3923i | −0.457496 | + | 0.792406i | ||||
\(173\) | 3.00000 | + | 5.19615i | 0.228086 | + | 0.395056i | 0.957241 | − | 0.289292i | \(-0.0934200\pi\) |
−0.729155 | + | 0.684349i | \(0.760087\pi\) | |||||||
\(174\) | 10.0000i | 0.758098i | ||||||||
\(175\) | 3.46410 | − | 2.00000i | 0.261861 | − | 0.151186i | ||||
\(176\) | 3.46410 | − | 2.00000i | 0.261116 | − | 0.150756i | ||||
\(177\) | 12.0000i | 0.901975i | ||||||||
\(178\) | 1.00000 | + | 1.73205i | 0.0749532 | + | 0.129823i | ||||
\(179\) | 2.00000 | − | 3.46410i | 0.149487 | − | 0.258919i | −0.781551 | − | 0.623841i | \(-0.785571\pi\) |
0.931038 | + | 0.364922i | \(0.118904\pi\) | |||||||
\(180\) | −1.73205 | − | 1.00000i | −0.129099 | − | 0.0745356i | ||||
\(181\) | 10.0000 | 0.743294 | 0.371647 | − | 0.928374i | \(-0.378793\pi\) | ||||
0.371647 | + | 0.928374i | \(0.378793\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000 | 0.147844 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.00000 | − | 3.46410i | 0.147043 | − | 0.254686i | ||||
\(186\) | −2.00000 | − | 3.46410i | −0.146647 | − | 0.254000i | ||||
\(187\) | 8.00000i | 0.585018i | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −3.46410 | + | 2.00000i | −0.251976 | + | 0.145479i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.00000 | − | 6.92820i | −0.289430 | − | 0.501307i | 0.684244 | − | 0.729253i | \(-0.260132\pi\) |
−0.973674 | + | 0.227946i | \(0.926799\pi\) | |||||||
\(192\) | −3.50000 | + | 6.06218i | −0.252591 | + | 0.437500i | ||||
\(193\) | 15.5885 | + | 9.00000i | 1.12208 | + | 0.647834i | 0.941932 | − | 0.335805i | \(-0.109008\pi\) |
0.180150 | + | 0.983639i | \(0.442342\pi\) | |||||||
\(194\) | −10.0000 | −0.717958 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −9.00000 | −0.642857 | ||||||||
\(197\) | −15.5885 | − | 9.00000i | −1.11063 | − | 0.641223i | −0.171639 | − | 0.985160i | \(-0.554906\pi\) |
−0.938993 | + | 0.343937i | \(0.888239\pi\) | |||||||
\(198\) | −2.00000 | + | 3.46410i | −0.142134 | + | 0.246183i | ||||
\(199\) | 4.00000 | + | 6.92820i | 0.283552 | + | 0.491127i | 0.972257 | − | 0.233915i | \(-0.0751537\pi\) |
−0.688705 | + | 0.725042i | \(0.741820\pi\) | |||||||
\(200\) | 3.00000i | 0.212132i | ||||||||
\(201\) | 6.92820 | − | 4.00000i | 0.488678 | − | 0.282138i | ||||
\(202\) | 15.5885 | − | 9.00000i | 1.09680 | − | 0.633238i | ||||
\(203\) | − | 40.0000i | − | 2.80745i | ||||||
\(204\) | −1.00000 | − | 1.73205i | −0.0700140 | − | 0.121268i | ||||
\(205\) | 6.00000 | − | 10.3923i | 0.419058 | − | 0.725830i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −6.92820 | − | 4.00000i | −0.478091 | − | 0.276026i | ||||
\(211\) | 10.0000 | − | 17.3205i | 0.688428 | − | 1.19239i | −0.283918 | − | 0.958849i | \(-0.591634\pi\) |
0.972346 | − | 0.233544i | \(-0.0750324\pi\) | |||||||
\(212\) | −3.00000 | − | 5.19615i | −0.206041 | − | 0.356873i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 10.3923 | − | 6.00000i | 0.710403 | − | 0.410152i | ||||
\(215\) | 20.7846 | − | 12.0000i | 1.41750 | − | 0.818393i | ||||
\(216\) | − | 3.00000i | − | 0.204124i | ||||||
\(217\) | 8.00000 | + | 13.8564i | 0.543075 | + | 0.940634i | ||||
\(218\) | −1.00000 | + | 1.73205i | −0.0677285 | + | 0.117309i | ||||
\(219\) | −1.73205 | − | 1.00000i | −0.117041 | − | 0.0675737i | ||||
\(220\) | 8.00000 | 0.539360 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 2.00000 | 0.134231 | ||||||||
\(223\) | −3.46410 | − | 2.00000i | −0.231973 | − | 0.133930i | 0.379509 | − | 0.925188i | \(-0.376093\pi\) |
−0.611482 | + | 0.791258i | \(0.709426\pi\) | |||||||
\(224\) | 10.0000 | − | 17.3205i | 0.668153 | − | 1.15728i | ||||
\(225\) | −0.500000 | − | 0.866025i | −0.0333333 | − | 0.0577350i | ||||
\(226\) | − | 6.00000i | − | 0.399114i | ||||||
\(227\) | −17.3205 | + | 10.0000i | −1.14960 | + | 0.663723i | −0.948790 | − | 0.315906i | \(-0.897691\pi\) |
−0.200812 | + | 0.979630i | \(0.564358\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.0000i | 0.660819i | 0.943838 | + | 0.330409i | \(0.107187\pi\) | ||||
−0.943838 | + | 0.330409i | \(0.892813\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 8.00000 | − | 13.8564i | 0.526361 | − | 0.911685i | ||||
\(232\) | 25.9808 | + | 15.0000i | 1.70572 | + | 0.984798i | ||||
\(233\) | 14.0000 | 0.917170 | 0.458585 | − | 0.888650i | \(-0.348356\pi\) | ||||
0.458585 | + | 0.888650i | \(0.348356\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 10.3923 | + | 6.00000i | 0.676481 | + | 0.390567i | ||||
\(237\) | 4.00000 | − | 6.92820i | 0.259828 | − | 0.450035i | ||||
\(238\) | −4.00000 | − | 6.92820i | −0.259281 | − | 0.449089i | ||||
\(239\) | − | 24.0000i | − | 1.55243i | −0.630468 | − | 0.776215i | \(-0.717137\pi\) | ||
0.630468 | − | 0.776215i | \(-0.282863\pi\) | |||||||
\(240\) | 1.73205 | − | 1.00000i | 0.111803 | − | 0.0645497i | ||||
\(241\) | −8.66025 | + | 5.00000i | −0.557856 | + | 0.322078i | −0.752285 | − | 0.658838i | \(-0.771048\pi\) |
0.194429 | + | 0.980917i | \(0.437715\pi\) | |||||||
\(242\) | − | 5.00000i | − | 0.321412i | ||||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 1.00000 | − | 1.73205i | 0.0640184 | − | 0.110883i | ||||
\(245\) | 15.5885 | + | 9.00000i | 0.995910 | + | 0.574989i | ||||
\(246\) | 6.00000 | 0.382546 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −12.0000 | −0.762001 | ||||||||
\(249\) | 3.46410 | + | 2.00000i | 0.219529 | + | 0.126745i | ||||
\(250\) | 6.00000 | − | 10.3923i | 0.379473 | − | 0.657267i | ||||
\(251\) | −6.00000 | − | 10.3923i | −0.378717 | − | 0.655956i | 0.612159 | − | 0.790735i | \(-0.290301\pi\) |
−0.990876 | + | 0.134778i | \(0.956968\pi\) | |||||||
\(252\) | 4.00000i | 0.251976i | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 13.8564 | − | 8.00000i | 0.869428 | − | 0.501965i | ||||
\(255\) | 4.00000i | 0.250490i | ||||||||
\(256\) | 8.50000 | + | 14.7224i | 0.531250 | + | 0.920152i | ||||
\(257\) | 13.0000 | − | 22.5167i | 0.810918 | − | 1.40455i | −0.101305 | − | 0.994855i | \(-0.532302\pi\) |
0.912222 | − | 0.409695i | \(-0.134365\pi\) | |||||||
\(258\) | 10.3923 | + | 6.00000i | 0.646997 | + | 0.373544i | ||||
\(259\) | −8.00000 | −0.497096 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −10.0000 | −0.618984 | ||||||||
\(262\) | −3.46410 | − | 2.00000i | −0.214013 | − | 0.123560i | ||||
\(263\) | −12.0000 | + | 20.7846i | −0.739952 | + | 1.28163i | 0.212565 | + | 0.977147i | \(0.431818\pi\) |
−0.952517 | + | 0.304487i | \(0.901515\pi\) | |||||||
\(264\) | 6.00000 | + | 10.3923i | 0.369274 | + | 0.639602i | ||||
\(265\) | 12.0000i | 0.737154i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.73205 | + | 1.00000i | −0.106000 | + | 0.0611990i | ||||
\(268\) | − | 8.00000i | − | 0.488678i | ||||||
\(269\) | −11.0000 | − | 19.0526i | −0.670682 | − | 1.16166i | −0.977711 | − | 0.209955i | \(-0.932668\pi\) |
0.307029 | − | 0.951700i | \(-0.400665\pi\) | |||||||
\(270\) | −1.00000 | + | 1.73205i | −0.0608581 | + | 0.105409i | ||||
\(271\) | −10.3923 | − | 6.00000i | −0.631288 | − | 0.364474i | 0.149963 | − | 0.988692i | \(-0.452085\pi\) |
−0.781251 | + | 0.624218i | \(0.785418\pi\) | |||||||
\(272\) | 2.00000 | 0.121268 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.00000 | 0.362473 | ||||||||
\(275\) | 3.46410 | + | 2.00000i | 0.208893 | + | 0.120605i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.00000 | − | 8.66025i | −0.300421 | − | 0.520344i | 0.675810 | − | 0.737075i | \(-0.263794\pi\) |
−0.976231 | + | 0.216731i | \(0.930460\pi\) | |||||||
\(278\) | 12.0000i | 0.719712i | ||||||||
\(279\) | 3.46410 | − | 2.00000i | 0.207390 | − | 0.119737i | ||||
\(280\) | −20.7846 | + | 12.0000i | −1.24212 | + | 0.717137i | ||||
\(281\) | 10.0000i | 0.596550i | 0.954480 | + | 0.298275i | \(0.0964112\pi\) | ||||
−0.954480 | + | 0.298275i | \(0.903589\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.00000 | − | 10.3923i | 0.356663 | − | 0.617758i | −0.630738 | − | 0.775996i | \(-0.717248\pi\) |
0.987401 | + | 0.158237i | \(0.0505811\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −24.0000 | −1.41668 | ||||||||
\(288\) | −4.33013 | − | 2.50000i | −0.255155 | − | 0.147314i | ||||
\(289\) | 6.50000 | − | 11.2583i | 0.382353 | − | 0.662255i | ||||
\(290\) | −10.0000 | − | 17.3205i | −0.587220 | − | 1.01710i | ||||
\(291\) | − | 10.0000i | − | 0.586210i | ||||||
\(292\) | −1.73205 | + | 1.00000i | −0.101361 | + | 0.0585206i | ||||
\(293\) | 5.19615 | − | 3.00000i | 0.303562 | − | 0.175262i | −0.340480 | − | 0.940252i | \(-0.610589\pi\) |
0.644042 | + | 0.764990i | \(0.277256\pi\) | |||||||
\(294\) | 9.00000i | 0.524891i | ||||||||
\(295\) | −12.0000 | − | 20.7846i | −0.698667 | − | 1.21013i | ||||
\(296\) | 3.00000 | − | 5.19615i | 0.174371 | − | 0.302020i | ||||
\(297\) | −3.46410 | − | 2.00000i | −0.201008 | − | 0.116052i | ||||
\(298\) | 6.00000 | 0.347571 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | −41.5692 | − | 24.0000i | −2.39601 | − | 1.38334i | ||||
\(302\) | −2.00000 | + | 3.46410i | −0.115087 | + | 0.199337i | ||||
\(303\) | 9.00000 | + | 15.5885i | 0.517036 | + | 0.895533i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −3.46410 | + | 2.00000i | −0.198354 | + | 0.114520i | ||||
\(306\) | −1.73205 | + | 1.00000i | −0.0990148 | + | 0.0571662i | ||||
\(307\) | 16.0000i | 0.913168i | 0.889680 | + | 0.456584i | \(0.150927\pi\) | ||||
−0.889680 | + | 0.456584i | \(0.849073\pi\) | |||||||
\(308\) | −8.00000 | − | 13.8564i | −0.455842 | − | 0.789542i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 6.92820 | + | 4.00000i | 0.393496 | + | 0.227185i | ||||
\(311\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.00000 | −0.339140 | −0.169570 | − | 0.985518i | \(-0.554238\pi\) | ||||
−0.169570 | + | 0.985518i | \(0.554238\pi\) | |||||||
\(314\) | 15.5885 | + | 9.00000i | 0.879708 | + | 0.507899i | ||||
\(315\) | 4.00000 | − | 6.92820i | 0.225374 | − | 0.390360i | ||||
\(316\) | −4.00000 | − | 6.92820i | −0.225018 | − | 0.389742i | ||||
\(317\) | 26.0000i | 1.46031i | 0.683284 | + | 0.730153i | \(0.260551\pi\) | ||||
−0.683284 | + | 0.730153i | \(0.739449\pi\) | |||||||
\(318\) | −5.19615 | + | 3.00000i | −0.291386 | + | 0.168232i | ||||
\(319\) | 34.6410 | − | 20.0000i | 1.93952 | − | 1.11979i | ||||
\(320\) | − | 14.0000i | − | 0.782624i | ||||||
\(321\) | 6.00000 | + | 10.3923i | 0.334887 | + | 0.580042i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 8.00000 | 0.443079 | ||||||||
\(327\) | −1.73205 | − | 1.00000i | −0.0957826 | − | 0.0553001i | ||||
\(328\) | 9.00000 | − | 15.5885i | 0.496942 | − | 0.860729i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | − | 8.00000i | − | 0.440386i | ||||||
\(331\) | −13.8564 | + | 8.00000i | −0.761617 | + | 0.439720i | −0.829876 | − | 0.557948i | \(-0.811589\pi\) |
0.0682590 | + | 0.997668i | \(0.478256\pi\) | |||||||
\(332\) | 3.46410 | − | 2.00000i | 0.190117 | − | 0.109764i | ||||
\(333\) | 2.00000i | 0.109599i | ||||||||
\(334\) | 4.00000 | + | 6.92820i | 0.218870 | + | 0.379094i | ||||
\(335\) | −8.00000 | + | 13.8564i | −0.437087 | + | 0.757056i | ||||
\(336\) | −3.46410 | − | 2.00000i | −0.188982 | − | 0.109109i | ||||
\(337\) | −18.0000 | −0.980522 | −0.490261 | − | 0.871576i | \(-0.663099\pi\) | ||||
−0.490261 | + | 0.871576i | \(0.663099\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 6.00000 | 0.325875 | ||||||||
\(340\) | 3.46410 | + | 2.00000i | 0.187867 | + | 0.108465i | ||||
\(341\) | −8.00000 | + | 13.8564i | −0.433224 | + | 0.750366i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 8.00000i | − | 0.431959i | ||||||
\(344\) | 31.1769 | − | 18.0000i | 1.68095 | − | 0.970495i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 6.00000i | − | 0.322562i | ||||||
\(347\) | 6.00000 | + | 10.3923i | 0.322097 | + | 0.557888i | 0.980921 | − | 0.194409i | \(-0.0622790\pi\) |
−0.658824 | + | 0.752297i | \(0.728946\pi\) | |||||||
\(348\) | −5.00000 | + | 8.66025i | −0.268028 | + | 0.464238i | ||||
\(349\) | −22.5167 | − | 13.0000i | −1.20529 | − | 0.695874i | −0.243563 | − | 0.969885i | \(-0.578316\pi\) |
−0.961727 | + | 0.274011i | \(0.911649\pi\) | |||||||
\(350\) | −4.00000 | −0.213809 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 20.0000 | 1.06600 | ||||||||
\(353\) | 1.73205 | + | 1.00000i | 0.0921878 | + | 0.0532246i | 0.545385 | − | 0.838186i | \(-0.316383\pi\) |
−0.453197 | + | 0.891410i | \(0.649717\pi\) | |||||||
\(354\) | 6.00000 | − | 10.3923i | 0.318896 | − | 0.552345i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 2.00000i | 0.106000i | ||||||||
\(357\) | 6.92820 | − | 4.00000i | 0.366679 | − | 0.211702i | ||||
\(358\) | −3.46410 | + | 2.00000i | −0.183083 | + | 0.105703i | ||||
\(359\) | − | 24.0000i | − | 1.26667i | −0.773877 | − | 0.633336i | \(-0.781685\pi\) | ||
0.773877 | − | 0.633336i | \(-0.218315\pi\) | |||||||
\(360\) | 3.00000 | + | 5.19615i | 0.158114 | + | 0.273861i | ||||
\(361\) | −9.50000 | + | 16.4545i | −0.500000 | + | 0.866025i | ||||
\(362\) | −8.66025 | − | 5.00000i | −0.455173 | − | 0.262794i | ||||
\(363\) | 5.00000 | 0.262432 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.00000 | 0.209370 | ||||||||
\(366\) | −1.73205 | − | 1.00000i | −0.0905357 | − | 0.0522708i | ||||
\(367\) | −8.00000 | + | 13.8564i | −0.417597 | + | 0.723299i | −0.995697 | − | 0.0926670i | \(-0.970461\pi\) |
0.578101 | + | 0.815966i | \(0.303794\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 6.00000i | 0.312348i | ||||||||
\(370\) | −3.46410 | + | 2.00000i | −0.180090 | + | 0.103975i | ||||
\(371\) | 20.7846 | − | 12.0000i | 1.07908 | − | 0.623009i | ||||
\(372\) | − | 4.00000i | − | 0.207390i | ||||||
\(373\) | 13.0000 | + | 22.5167i | 0.673114 | + | 1.16587i | 0.977016 | + | 0.213165i | \(0.0683772\pi\) |
−0.303902 | + | 0.952703i | \(0.598289\pi\) | |||||||
\(374\) | 4.00000 | − | 6.92820i | 0.206835 | − | 0.358249i | ||||
\(375\) | 10.3923 | + | 6.00000i | 0.536656 | + | 0.309839i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 4.00000 | 0.205738 | ||||||||
\(379\) | 20.7846 | + | 12.0000i | 1.06763 | + | 0.616399i | 0.927534 | − | 0.373739i | \(-0.121924\pi\) |
0.140100 | + | 0.990137i | \(0.455258\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.00000 | + | 13.8564i | 0.409852 | + | 0.709885i | ||||
\(382\) | 8.00000i | 0.409316i | ||||||||
\(383\) | −13.8564 | + | 8.00000i | −0.708029 | + | 0.408781i | −0.810331 | − | 0.585973i | \(-0.800713\pi\) |
0.102302 | + | 0.994753i | \(0.467379\pi\) | |||||||
\(384\) | −2.59808 | + | 1.50000i | −0.132583 | + | 0.0765466i | ||||
\(385\) | 32.0000i | 1.63087i | ||||||||
\(386\) | −9.00000 | − | 15.5885i | −0.458088 | − | 0.793432i | ||||
\(387\) | −6.00000 | + | 10.3923i | −0.304997 | + | 0.528271i | ||||
\(388\) | −8.66025 | − | 5.00000i | −0.439658 | − | 0.253837i | ||||
\(389\) | −22.0000 | −1.11544 | −0.557722 | − | 0.830028i | \(-0.688325\pi\) | ||||
−0.557722 | + | 0.830028i | \(0.688325\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 23.3827 | + | 13.5000i | 1.18100 | + | 0.681853i | ||||
\(393\) | 2.00000 | − | 3.46410i | 0.100887 | − | 0.174741i | ||||
\(394\) | 9.00000 | + | 15.5885i | 0.453413 | + | 0.785335i | ||||
\(395\) | 16.0000i | 0.805047i | ||||||||
\(396\) | −3.46410 | + | 2.00000i | −0.174078 | + | 0.100504i | ||||
\(397\) | −32.9090 | + | 19.0000i | −1.65165 | + | 0.953583i | −0.675261 | + | 0.737579i | \(0.735969\pi\) |
−0.976392 | + | 0.216004i | \(0.930698\pi\) | |||||||
\(398\) | − | 8.00000i | − | 0.401004i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.500000 | − | 0.866025i | 0.0250000 | − | 0.0433013i | ||||
\(401\) | 19.0526 | + | 11.0000i | 0.951439 | + | 0.549314i | 0.893528 | − | 0.449008i | \(-0.148223\pi\) |
0.0579116 | + | 0.998322i | \(0.481556\pi\) | |||||||
\(402\) | −8.00000 | −0.399004 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 18.0000 | 0.895533 | ||||||||
\(405\) | −1.73205 | − | 1.00000i | −0.0860663 | − | 0.0496904i | ||||
\(406\) | −20.0000 | + | 34.6410i | −0.992583 | + | 1.71920i | ||||
\(407\) | −4.00000 | − | 6.92820i | −0.198273 | − | 0.343418i | ||||
\(408\) | 6.00000i | 0.297044i | ||||||||
\(409\) | 29.4449 | − | 17.0000i | 1.45595 | − | 0.840596i | 0.457146 | − | 0.889392i | \(-0.348872\pi\) |
0.998809 | + | 0.0487958i | \(0.0155383\pi\) | |||||||
\(410\) | −10.3923 | + | 6.00000i | −0.513239 | + | 0.296319i | ||||
\(411\) | 6.00000i | 0.295958i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −24.0000 | + | 41.5692i | −1.18096 | + | 2.04549i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −8.00000 | −0.392705 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −12.0000 | −0.587643 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.00000 | + | 3.46410i | −0.0977064 | + | 0.169232i | −0.910735 | − | 0.412991i | \(-0.864484\pi\) |
0.813029 | + | 0.582224i | \(0.197817\pi\) | |||||||
\(420\) | −4.00000 | − | 6.92820i | −0.195180 | − | 0.338062i | ||||
\(421\) | − | 10.0000i | − | 0.487370i | −0.969854 | − | 0.243685i | \(-0.921644\pi\) | ||
0.969854 | − | 0.243685i | \(-0.0783563\pi\) | |||||||
\(422\) | −17.3205 | + | 10.0000i | −0.843149 | + | 0.486792i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 18.0000i | 0.874157i | ||||||||
\(425\) | 1.00000 | + | 1.73205i | 0.0485071 | + | 0.0840168i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.92820 | + | 4.00000i | 0.335279 | + | 0.193574i | ||||
\(428\) | 12.0000 | 0.580042 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −24.0000 | −1.15738 | ||||||||
\(431\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(432\) | −0.500000 | + | 0.866025i | −0.0240563 | + | 0.0416667i | ||||
\(433\) | 17.0000 | + | 29.4449i | 0.816968 | + | 1.41503i | 0.907906 | + | 0.419173i | \(0.137680\pi\) |
−0.0909384 | + | 0.995857i | \(0.528987\pi\) | |||||||
\(434\) | − | 16.0000i | − | 0.768025i | ||||||
\(435\) | 17.3205 | − | 10.0000i | 0.830455 | − | 0.479463i | ||||
\(436\) | −1.73205 | + | 1.00000i | −0.0829502 | + | 0.0478913i | ||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1.00000 | + | 1.73205i | 0.0477818 | + | 0.0827606i | ||||
\(439\) | 16.0000 | − | 27.7128i | 0.763638 | − | 1.32266i | −0.177325 | − | 0.984152i | \(-0.556744\pi\) |
0.940963 | − | 0.338508i | \(-0.109922\pi\) | |||||||
\(440\) | −20.7846 | − | 12.0000i | −0.990867 | − | 0.572078i | ||||
\(441\) | −9.00000 | −0.428571 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.00000 | −0.190046 | −0.0950229 | − | 0.995475i | \(-0.530292\pi\) | ||||
−0.0950229 | + | 0.995475i | \(0.530292\pi\) | |||||||
\(444\) | 1.73205 | + | 1.00000i | 0.0821995 | + | 0.0474579i | ||||
\(445\) | 2.00000 | − | 3.46410i | 0.0948091 | − | 0.164214i | ||||
\(446\) | 2.00000 | + | 3.46410i | 0.0947027 | + | 0.164030i | ||||
\(447\) | 6.00000i | 0.283790i | ||||||||
\(448\) | −24.2487 | + | 14.0000i | −1.14564 | + | 0.661438i | ||||
\(449\) | −19.0526 | + | 11.0000i | −0.899146 | + | 0.519122i | −0.876923 | − | 0.480631i | \(-0.840408\pi\) |
−0.0222229 | + | 0.999753i | \(0.507074\pi\) | |||||||
\(450\) | 1.00000i | 0.0471405i | ||||||||
\(451\) | −12.0000 | − | 20.7846i | −0.565058 | − | 0.978709i | ||||
\(452\) | 3.00000 | − | 5.19615i | 0.141108 | − | 0.244406i | ||||
\(453\) | −3.46410 | − | 2.00000i | −0.162758 | − | 0.0939682i | ||||
\(454\) | 20.0000 | 0.938647 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.73205 | − | 1.00000i | −0.0810219 | − | 0.0467780i | 0.458942 | − | 0.888466i | \(-0.348229\pi\) |
−0.539964 | + | 0.841688i | \(0.681562\pi\) | |||||||
\(458\) | 5.00000 | − | 8.66025i | 0.233635 | − | 0.404667i | ||||
\(459\) | −1.00000 | − | 1.73205i | −0.0466760 | − | 0.0808452i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −32.9090 | + | 19.0000i | −1.53272 | + | 0.884918i | −0.533488 | + | 0.845807i | \(0.679119\pi\) |
−0.999235 | + | 0.0391109i | \(0.987547\pi\) | |||||||
\(462\) | −13.8564 | + | 8.00000i | −0.644658 | + | 0.372194i | ||||
\(463\) | − | 4.00000i | − | 0.185896i | −0.995671 | − | 0.0929479i | \(-0.970371\pi\) | ||
0.995671 | − | 0.0929479i | \(-0.0296290\pi\) | |||||||
\(464\) | −5.00000 | − | 8.66025i | −0.232119 | − | 0.402042i | ||||
\(465\) | −4.00000 | + | 6.92820i | −0.185496 | + | 0.321288i | ||||
\(466\) | −12.1244 | − | 7.00000i | −0.561650 | − | 0.324269i | ||||
\(467\) | −12.0000 | −0.555294 | −0.277647 | − | 0.960683i | \(-0.589555\pi\) | ||||
−0.277647 | + | 0.960683i | \(0.589555\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 32.0000 | 1.47762 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −9.00000 | + | 15.5885i | −0.414698 | + | 0.718278i | ||||
\(472\) | −18.0000 | − | 31.1769i | −0.828517 | − | 1.43503i | ||||
\(473\) | − | 48.0000i | − | 2.20704i | ||||||
\(474\) | −6.92820 | + | 4.00000i | −0.318223 | + | 0.183726i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | − | 8.00000i | − | 0.366679i | ||||||
\(477\) | −3.00000 | − | 5.19615i | −0.137361 | − | 0.237915i | ||||
\(478\) | −12.0000 | + | 20.7846i | −0.548867 | + | 0.950666i | ||||
\(479\) | −20.7846 | − | 12.0000i | −0.949673 | − | 0.548294i | −0.0566937 | − | 0.998392i | \(-0.518056\pi\) |
−0.892979 | + | 0.450098i | \(0.851389\pi\) | |||||||
\(480\) | 10.0000 | 0.456435 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 10.0000 | 0.455488 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.50000 | − | 4.33013i | 0.113636 | − | 0.196824i | ||||
\(485\) | 10.0000 | + | 17.3205i | 0.454077 | + | 0.786484i | ||||
\(486\) | − | 1.00000i | − | 0.0453609i | ||||||
\(487\) | 10.3923 | − | 6.00000i | 0.470920 | − | 0.271886i | −0.245705 | − | 0.969345i | \(-0.579019\pi\) |
0.716625 | + | 0.697459i | \(0.245686\pi\) | |||||||
\(488\) | −5.19615 | + | 3.00000i | −0.235219 | + | 0.135804i | ||||
\(489\) | 8.00000i | 0.361773i | ||||||||
\(490\) | −9.00000 | − | 15.5885i | −0.406579 | − | 0.704215i | ||||
\(491\) | −6.00000 | + | 10.3923i | −0.270776 | + | 0.468998i | −0.969061 | − | 0.246822i | \(-0.920614\pi\) |
0.698285 | + | 0.715820i | \(0.253947\pi\) | |||||||
\(492\) | 5.19615 | + | 3.00000i | 0.234261 | + | 0.135250i | ||||
\(493\) | 20.0000 | 0.900755 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 8.00000 | 0.359573 | ||||||||
\(496\) | 3.46410 | + | 2.00000i | 0.155543 | + | 0.0898027i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −2.00000 | − | 3.46410i | −0.0896221 | − | 0.155230i | ||||
\(499\) | − | 24.0000i | − | 1.07439i | −0.843459 | − | 0.537194i | \(-0.819484\pi\) | ||
0.843459 | − | 0.537194i | \(-0.180516\pi\) | |||||||
\(500\) | 10.3923 | − | 6.00000i | 0.464758 | − | 0.268328i | ||||
\(501\) | −6.92820 | + | 4.00000i | −0.309529 | + | 0.178707i | ||||
\(502\) | 12.0000i | 0.535586i | ||||||||
\(503\) | 4.00000 | + | 6.92820i | 0.178351 | + | 0.308913i | 0.941316 | − | 0.337527i | \(-0.109590\pi\) |
−0.762965 | + | 0.646440i | \(0.776257\pi\) | |||||||
\(504\) | 6.00000 | − | 10.3923i | 0.267261 | − | 0.462910i | ||||
\(505\) | −31.1769 | − | 18.0000i | −1.38735 | − | 0.800989i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 16.0000 | 0.709885 | ||||||||
\(509\) | −8.66025 | − | 5.00000i | −0.383859 | − | 0.221621i | 0.295637 | − | 0.955300i | \(-0.404468\pi\) |
−0.679496 | + | 0.733679i | \(0.737801\pi\) | |||||||
\(510\) | 2.00000 | − | 3.46410i | 0.0885615 | − | 0.153393i | ||||
\(511\) | −4.00000 | − | 6.92820i | −0.176950 | − | 0.306486i | ||||
\(512\) | − | 11.0000i | − | 0.486136i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −22.5167 | + | 13.0000i | −0.993167 | + | 0.573405i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 6.00000 | + | 10.3923i | 0.264135 | + | 0.457496i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 6.92820 | + | 4.00000i | 0.304408 | + | 0.175750i | ||||
\(519\) | 6.00000 | 0.263371 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.0000 | 0.788594 | 0.394297 | − | 0.918983i | \(-0.370988\pi\) | ||||
0.394297 | + | 0.918983i | \(0.370988\pi\) | |||||||
\(522\) | 8.66025 | + | 5.00000i | 0.379049 | + | 0.218844i | ||||
\(523\) | −22.0000 | + | 38.1051i | −0.961993 | + | 1.66622i | −0.244507 | + | 0.969648i | \(0.578626\pi\) |
−0.717486 | + | 0.696573i | \(0.754707\pi\) | |||||||
\(524\) | −2.00000 | − | 3.46410i | −0.0873704 | − | 0.151330i | ||||
\(525\) | − | 4.00000i | − | 0.174574i | ||||||
\(526\) | 20.7846 | − | 12.0000i | 0.906252 | − | 0.523225i | ||||
\(527\) | −6.92820 | + | 4.00000i | −0.301797 | + | 0.174243i | ||||
\(528\) | − | 4.00000i | − | 0.174078i | ||||||
\(529\) | 11.5000 | + | 19.9186i | 0.500000 | + | 0.866025i | ||||
\(530\) | 6.00000 | − | 10.3923i | 0.260623 | − | 0.451413i | ||||
\(531\) | 10.3923 | + | 6.00000i | 0.450988 | + | 0.260378i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 2.00000 | 0.0865485 | ||||||||
\(535\) | −20.7846 | − | 12.0000i | −0.898597 | − | 0.518805i | ||||
\(536\) | −12.0000 | + | 20.7846i | −0.518321 | + | 0.897758i | ||||
\(537\) | −2.00000 | − | 3.46410i | −0.0863064 | − | 0.149487i | ||||
\(538\) | 22.0000i | 0.948487i | ||||||||
\(539\) | 31.1769 | − | 18.0000i | 1.34288 | − | 0.775315i | ||||
\(540\) | −1.73205 | + | 1.00000i | −0.0745356 | + | 0.0430331i | ||||
\(541\) | − | 30.0000i | − | 1.28980i | −0.764267 | − | 0.644900i | \(-0.776899\pi\) | ||
0.764267 | − | 0.644900i | \(-0.223101\pi\) | |||||||
\(542\) | 6.00000 | + | 10.3923i | 0.257722 | + | 0.446388i | ||||
\(543\) | 5.00000 | − | 8.66025i | 0.214571 | − | 0.371647i | ||||
\(544\) | 8.66025 | + | 5.00000i | 0.371305 | + | 0.214373i | ||||
\(545\) | 4.00000 | 0.171341 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.00000 | 0.171028 | 0.0855138 | − | 0.996337i | \(-0.472747\pi\) | ||||
0.0855138 | + | 0.996337i | \(0.472747\pi\) | |||||||
\(548\) | 5.19615 | + | 3.00000i | 0.221969 | + | 0.128154i | ||||
\(549\) | 1.00000 | − | 1.73205i | 0.0426790 | − | 0.0739221i | ||||
\(550\) | −2.00000 | − | 3.46410i | −0.0852803 | − | 0.147710i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 27.7128 | − | 16.0000i | 1.17847 | − | 0.680389i | ||||
\(554\) | 10.0000i | 0.424859i | ||||||||
\(555\) | −2.00000 | − | 3.46410i | −0.0848953 | − | 0.147043i | ||||
\(556\) | −6.00000 | + | 10.3923i | −0.254457 | + | 0.440732i | ||||
\(557\) | 15.5885 | + | 9.00000i | 0.660504 | + | 0.381342i | 0.792469 | − | 0.609912i | \(-0.208795\pi\) |
−0.131965 | + | 0.991254i | \(0.542129\pi\) | |||||||
\(558\) | −4.00000 | −0.169334 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 8.00000 | 0.338062 | ||||||||
\(561\) | 6.92820 | + | 4.00000i | 0.292509 | + | 0.168880i | ||||
\(562\) | 5.00000 | − | 8.66025i | 0.210912 | − | 0.365311i | ||||
\(563\) | −6.00000 | − | 10.3923i | −0.252870 | − | 0.437983i | 0.711445 | − | 0.702742i | \(-0.248041\pi\) |
−0.964315 | + | 0.264758i | \(0.914708\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −10.3923 | + | 6.00000i | −0.437208 | + | 0.252422i | ||||
\(566\) | −10.3923 | + | 6.00000i | −0.436821 | + | 0.252199i | ||||
\(567\) | 4.00000i | 0.167984i | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 17.0000 | − | 29.4449i | 0.712677 | − | 1.23439i | −0.251172 | − | 0.967943i | \(-0.580816\pi\) |
0.963849 | − | 0.266450i | \(-0.0858508\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.00000 | 0.167395 | 0.0836974 | − | 0.996491i | \(-0.473327\pi\) | ||||
0.0836974 | + | 0.996491i | \(0.473327\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −8.00000 | −0.334205 | ||||||||
\(574\) | 20.7846 | + | 12.0000i | 0.867533 | + | 0.500870i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 3.50000 | + | 6.06218i | 0.145833 | + | 0.252591i | ||||
\(577\) | − | 46.0000i | − | 1.91501i | −0.288425 | − | 0.957503i | \(-0.593132\pi\) | ||
0.288425 | − | 0.957503i | \(-0.406868\pi\) | |||||||
\(578\) | −11.2583 | + | 6.50000i | −0.468285 | + | 0.270364i | ||||
\(579\) | 15.5885 | − | 9.00000i | 0.647834 | − | 0.374027i | ||||
\(580\) | − | 20.0000i | − | 0.830455i | ||||||
\(581\) | 8.00000 | + | 13.8564i | 0.331896 | + | 0.574861i | ||||
\(582\) | −5.00000 | + | 8.66025i | −0.207257 | + | 0.358979i | ||||
\(583\) | 20.7846 | + | 12.0000i | 0.860811 | + | 0.496989i | ||||
\(584\) | 6.00000 | 0.248282 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.00000 | −0.247858 | ||||||||
\(587\) | −24.2487 | − | 14.0000i | −1.00085 | − | 0.577842i | −0.0923513 | − | 0.995726i | \(-0.529438\pi\) |
−0.908500 | + | 0.417885i | \(0.862772\pi\) | |||||||
\(588\) | −4.50000 | + | 7.79423i | −0.185577 | + | 0.321429i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 24.0000i | 0.988064i | ||||||||
\(591\) | −15.5885 | + | 9.00000i | −0.641223 | + | 0.370211i | ||||
\(592\) | −1.73205 | + | 1.00000i | −0.0711868 | + | 0.0410997i | ||||
\(593\) | 26.0000i | 1.06769i | 0.845582 | + | 0.533846i | \(0.179254\pi\) | ||||
−0.845582 | + | 0.533846i | \(0.820746\pi\) | |||||||
\(594\) | 2.00000 | + | 3.46410i | 0.0820610 | + | 0.142134i | ||||
\(595\) | −8.00000 | + | 13.8564i | −0.327968 | + | 0.568057i | ||||
\(596\) | 5.19615 | + | 3.00000i | 0.212843 | + | 0.122885i | ||||
\(597\) | 8.00000 | 0.327418 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −40.0000 | −1.63436 | −0.817178 | − | 0.576386i | \(-0.804463\pi\) | ||||
−0.817178 | + | 0.576386i | \(0.804463\pi\) | |||||||
\(600\) | 2.59808 | + | 1.50000i | 0.106066 | + | 0.0612372i | ||||
\(601\) | 19.0000 | − | 32.9090i | 0.775026 | − | 1.34238i | −0.159754 | − | 0.987157i | \(-0.551070\pi\) |
0.934780 | − | 0.355228i | \(-0.115597\pi\) | |||||||
\(602\) | 24.0000 | + | 41.5692i | 0.978167 | + | 1.69423i | ||||
\(603\) | − | 8.00000i | − | 0.325785i | ||||||
\(604\) | −3.46410 | + | 2.00000i | −0.140952 | + | 0.0813788i | ||||
\(605\) | −8.66025 | + | 5.00000i | −0.352089 | + | 0.203279i | ||||
\(606\) | − | 18.0000i | − | 0.731200i | ||||||
\(607\) | 8.00000 | + | 13.8564i | 0.324710 | + | 0.562414i | 0.981454 | − | 0.191700i | \(-0.0614000\pi\) |
−0.656744 | + | 0.754114i | \(0.728067\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −34.6410 | − | 20.0000i | −1.40372 | − | 0.810441i | ||||
\(610\) | 4.00000 | 0.161955 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −2.00000 | −0.0808452 | ||||||||
\(613\) | 1.73205 | + | 1.00000i | 0.0699569 | + | 0.0403896i | 0.534570 | − | 0.845124i | \(-0.320473\pi\) |
−0.464614 | + | 0.885514i | \(0.653807\pi\) | |||||||
\(614\) | 8.00000 | − | 13.8564i | 0.322854 | − | 0.559199i | ||||
\(615\) | −6.00000 | − | 10.3923i | −0.241943 | − | 0.419058i | ||||
\(616\) | 48.0000i | 1.93398i | ||||||||
\(617\) | 19.0526 | − | 11.0000i | 0.767027 | − | 0.442843i | −0.0647859 | − | 0.997899i | \(-0.520636\pi\) |
0.831813 | + | 0.555056i | \(0.187303\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 24.0000i | − | 0.964641i | −0.875995 | − | 0.482321i | \(-0.839794\pi\) | ||
0.875995 | − | 0.482321i | \(-0.160206\pi\) | |||||||
\(620\) | 4.00000 | + | 6.92820i | 0.160644 | + | 0.278243i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −8.00000 | −0.320513 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.0000 | −0.760000 | ||||||||
\(626\) | 5.19615 | + | 3.00000i | 0.207680 | + | 0.119904i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 9.00000 | + | 15.5885i | 0.359139 | + | 0.622047i | ||||
\(629\) | − | 4.00000i | − | 0.159490i | ||||||
\(630\) | −6.92820 | + | 4.00000i | −0.276026 | + | 0.159364i | ||||
\(631\) | −17.3205 | + | 10.0000i | −0.689519 | + | 0.398094i | −0.803432 | − | 0.595397i | \(-0.796995\pi\) |
0.113913 | + | 0.993491i | \(0.463661\pi\) | |||||||
\(632\) | 24.0000i | 0.954669i | ||||||||
\(633\) | −10.0000 | − | 17.3205i | −0.397464 | − | 0.688428i | ||||
\(634\) | 13.0000 | − | 22.5167i | 0.516296 | − | 0.894251i | ||||
\(635\) | −27.7128 | − | 16.0000i | −1.09975 | − | 0.634941i | ||||
\(636\) | −6.00000 | −0.237915 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −40.0000 | −1.58362 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.00000 | − | 5.19615i | 0.118585 | − | 0.205396i | ||||
\(641\) | 1.00000 | + | 1.73205i | 0.0394976 | + | 0.0684119i | 0.885098 | − | 0.465404i | \(-0.154091\pi\) |
−0.845601 | + | 0.533816i | \(0.820758\pi\) | |||||||
\(642\) | − | 12.0000i | − | 0.473602i | ||||||
\(643\) | −34.6410 | + | 20.0000i | −1.36611 | + | 0.788723i | −0.990429 | − | 0.138027i | \(-0.955924\pi\) |
−0.375680 | + | 0.926750i | \(0.622591\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 24.0000i | − | 0.944999i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −4.00000 | + | 6.92820i | −0.157256 | + | 0.272376i | −0.933878 | − | 0.357591i | \(-0.883598\pi\) |
0.776622 | + | 0.629967i | \(0.216932\pi\) | |||||||
\(648\) | −2.59808 | − | 1.50000i | −0.102062 | − | 0.0589256i | ||||
\(649\) | −48.0000 | −1.88416 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 16.0000 | 0.627089 | ||||||||
\(652\) | 6.92820 | + | 4.00000i | 0.271329 | + | 0.156652i | ||||
\(653\) | −3.00000 | + | 5.19615i | −0.117399 | + | 0.203341i | −0.918736 | − | 0.394872i | \(-0.870789\pi\) |
0.801337 | + | 0.598213i | \(0.204122\pi\) | |||||||
\(654\) | 1.00000 | + | 1.73205i | 0.0391031 | + | 0.0677285i | ||||
\(655\) | 8.00000i | 0.312586i | ||||||||
\(656\) | −5.19615 | + | 3.00000i | −0.202876 | + | 0.117130i | ||||
\(657\) | −1.73205 | + | 1.00000i | −0.0675737 | + | 0.0390137i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −14.0000 | − | 24.2487i | −0.545363 | − | 0.944596i | −0.998584 | − | 0.0531977i | \(-0.983059\pi\) |
0.453221 | − | 0.891398i | \(-0.350275\pi\) | |||||||
\(660\) | 4.00000 | − | 6.92820i | 0.155700 | − | 0.269680i | ||||
\(661\) | 25.9808 | + | 15.0000i | 1.01053 | + | 0.583432i | 0.911348 | − | 0.411636i | \(-0.135043\pi\) |
0.0991864 | + | 0.995069i | \(0.468376\pi\) | |||||||
\(662\) | 16.0000 | 0.621858 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.0000 | −0.465690 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.00000 | − | 1.73205i | 0.0387492 | − | 0.0671156i | ||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 8.00000i | 0.309529i | ||||||||
\(669\) | −3.46410 | + | 2.00000i | −0.133930 | + | 0.0773245i | ||||
\(670\) | 13.8564 | − | 8.00000i | 0.535320 | − | 0.309067i | ||||
\(671\) | 8.00000i | 0.308837i | ||||||||
\(672\) | −10.0000 | − | 17.3205i | −0.385758 | − | 0.668153i | ||||
\(673\) | −7.00000 | + | 12.1244i | −0.269830 | + | 0.467360i | −0.968818 | − | 0.247774i | \(-0.920301\pi\) |
0.698988 | + | 0.715134i | \(0.253634\pi\) | |||||||
\(674\) | 15.5885 | + | 9.00000i | 0.600445 | + | 0.346667i | ||||
\(675\) | −1.00000 | −0.0384900 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 22.0000 | 0.845529 | 0.422764 | − | 0.906240i | \(-0.361060\pi\) | ||||
0.422764 | + | 0.906240i | \(0.361060\pi\) | |||||||
\(678\) | −5.19615 | − | 3.00000i | −0.199557 | − | 0.115214i | ||||
\(679\) | 20.0000 | − | 34.6410i | 0.767530 | − | 1.32940i | ||||
\(680\) | −6.00000 | − | 10.3923i | −0.230089 | − | 0.398527i | ||||
\(681\) | 20.0000i | 0.766402i | ||||||||
\(682\) | 13.8564 | − | 8.00000i | 0.530589 | − | 0.306336i | ||||
\(683\) | 10.3923 | − | 6.00000i | 0.397650 | − | 0.229584i | −0.287819 | − | 0.957685i | \(-0.592930\pi\) |
0.685470 | + | 0.728101i | \(0.259597\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.00000 | − | 10.3923i | −0.229248 | − | 0.397070i | ||||
\(686\) | −4.00000 | + | 6.92820i | −0.152721 | + | 0.264520i | ||||
\(687\) | 8.66025 | + | 5.00000i | 0.330409 | + | 0.190762i | ||||
\(688\) | −12.0000 | −0.457496 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 20.7846 | + | 12.0000i | 0.790684 | + | 0.456502i | 0.840203 | − | 0.542272i | \(-0.182436\pi\) |
−0.0495194 | + | 0.998773i | \(0.515769\pi\) | |||||||
\(692\) | 3.00000 | − | 5.19615i | 0.114043 | − | 0.197528i | ||||
\(693\) | −8.00000 | − | 13.8564i | −0.303895 | − | 0.526361i | ||||
\(694\) | − | 12.0000i | − | 0.455514i | ||||||
\(695\) | 20.7846 | − | 12.0000i | 0.788405 | − | 0.455186i | ||||
\(696\) | 25.9808 | − | 15.0000i | 0.984798 | − | 0.568574i | ||||
\(697\) | − | 12.0000i | − | 0.454532i | ||||||
\(698\) | 13.0000 | + | 22.5167i | 0.492057 | + | 0.852268i | ||||
\(699\) | 7.00000 | − | 12.1244i | 0.264764 | − | 0.458585i | ||||
\(700\) | −3.46410 | − | 2.00000i | −0.130931 | − | 0.0755929i | ||||
\(701\) | 34.0000 | 1.28416 | 0.642081 | − | 0.766637i | \(-0.278071\pi\) | ||||
0.642081 | + | 0.766637i | \(0.278071\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −24.2487 | − | 14.0000i | −0.913908 | − | 0.527645i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.00000 | − | 1.73205i | −0.0376355 | − | 0.0651866i | ||||
\(707\) | 72.0000i | 2.70784i | ||||||||
\(708\) | 10.3923 | − | 6.00000i | 0.390567 | − | 0.225494i | ||||
\(709\) | 22.5167 | − | 13.0000i | 0.845631 | − | 0.488225i | −0.0135434 | − | 0.999908i | \(-0.504311\pi\) |
0.859174 | + | 0.511683i | \(0.170978\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.00000 | − | 6.92820i | −0.150012 | − | 0.259828i | ||||
\(712\) | 3.00000 | − | 5.19615i | 0.112430 | − | 0.194734i | ||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −8.00000 | −0.299392 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −4.00000 | −0.149487 | ||||||||
\(717\) | −20.7846 | − | 12.0000i | −0.776215 | − | 0.448148i | ||||
\(718\) | −12.0000 | + | 20.7846i | −0.447836 | + | 0.775675i | ||||
\(719\) | −12.0000 | − | 20.7846i | −0.447524 | − | 0.775135i | 0.550700 | − | 0.834703i | \(-0.314361\pi\) |
−0.998224 | + | 0.0595683i | \(0.981028\pi\) | |||||||
\(720\) | − | 2.00000i | − | 0.0745356i | ||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 16.4545 | − | 9.50000i | 0.612372 | − | 0.353553i | ||||
\(723\) | 10.0000i | 0.371904i | ||||||||
\(724\) | −5.00000 | − | 8.66025i | −0.185824 | − | 0.321856i | ||||
\(725\) | 5.00000 | − | 8.66025i | 0.185695 | − | 0.321634i | ||||
\(726\) | −4.33013 | − | 2.50000i | −0.160706 | − | 0.0927837i | ||||
\(727\) | −8.00000 | −0.296704 | −0.148352 | − | 0.988935i | \(-0.547397\pi\) | ||||
−0.148352 | + | 0.988935i | \(0.547397\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −3.46410 | − | 2.00000i | −0.128212 | − | 0.0740233i | ||||
\(731\) | 12.0000 | − | 20.7846i | 0.443836 | − | 0.768747i | ||||
\(732\) | −1.00000 | − | 1.73205i | −0.0369611 | − | 0.0640184i | ||||
\(733\) | 30.0000i | 1.10808i | 0.832492 | + | 0.554038i | \(0.186914\pi\) | ||||
−0.832492 | + | 0.554038i | \(0.813086\pi\) | |||||||
\(734\) | 13.8564 | − | 8.00000i | 0.511449 | − | 0.295285i | ||||
\(735\) | 15.5885 | − | 9.00000i | 0.574989 | − | 0.331970i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 16.0000 | + | 27.7128i | 0.589368 | + | 1.02081i | ||||
\(738\) | 3.00000 | − | 5.19615i | 0.110432 | − | 0.191273i | ||||
\(739\) | 27.7128 | + | 16.0000i | 1.01943 | + | 0.588570i | 0.913939 | − | 0.405851i | \(-0.133025\pi\) |
0.105493 | + | 0.994420i | \(0.466358\pi\) | |||||||
\(740\) | −4.00000 | −0.147043 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −24.0000 | −0.881068 | ||||||||
\(743\) | −41.5692 | − | 24.0000i | −1.52503 | − | 0.880475i | −0.999560 | − | 0.0296605i | \(-0.990557\pi\) |
−0.525467 | − | 0.850814i | \(-0.676109\pi\) | |||||||
\(744\) | −6.00000 | + | 10.3923i | −0.219971 | + | 0.381000i | ||||
\(745\) | −6.00000 | − | 10.3923i | −0.219823 | − | 0.380745i | ||||
\(746\) | − | 26.0000i | − | 0.951928i | ||||||
\(747\) | 3.46410 | − | 2.00000i | 0.126745 | − | 0.0731762i | ||||
\(748\) | 6.92820 | − | 4.00000i | 0.253320 | − | 0.146254i | ||||
\(749\) | 48.0000i | 1.75388i | ||||||||
\(750\) | −6.00000 | − | 10.3923i | −0.219089 | − | 0.379473i | ||||
\(751\) | 4.00000 | − | 6.92820i | 0.145962 | − | 0.252814i | −0.783769 | − | 0.621052i | \(-0.786706\pi\) |
0.929731 | + | 0.368238i | \(0.120039\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −12.0000 | −0.437304 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.00000 | 0.291150 | ||||||||
\(756\) | 3.46410 | + | 2.00000i | 0.125988 | + | 0.0727393i | ||||
\(757\) | −11.0000 | + | 19.0526i | −0.399802 | + | 0.692477i | −0.993701 | − | 0.112062i | \(-0.964254\pi\) |
0.593899 | + | 0.804539i | \(0.297588\pi\) | |||||||
\(758\) | −12.0000 | − | 20.7846i | −0.435860 | − | 0.754931i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 8.66025 | − | 5.00000i | 0.313934 | − | 0.181250i | −0.334752 | − | 0.942306i | \(-0.608652\pi\) |
0.648686 | + | 0.761057i | \(0.275319\pi\) | |||||||
\(762\) | − | 16.0000i | − | 0.579619i | ||||||
\(763\) | −4.00000 | − | 6.92820i | −0.144810 | − | 0.250818i | ||||
\(764\) | −4.00000 | + | 6.92820i | −0.144715 | + | 0.250654i | ||||
\(765\) | 3.46410 | + | 2.00000i | 0.125245 | + | 0.0723102i | ||||
\(766\) | 16.0000 | 0.578103 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 17.0000 | 0.613435 | ||||||||
\(769\) | 25.9808 | + | 15.0000i | 0.936890 | + | 0.540914i | 0.888984 | − | 0.457938i | \(-0.151412\pi\) |
0.0479061 | + | 0.998852i | \(0.484745\pi\) | |||||||
\(770\) | 16.0000 | − | 27.7128i | 0.576600 | − | 0.998700i | ||||
\(771\) | −13.0000 | − | 22.5167i | −0.468184 | − | 0.810918i | ||||
\(772\) | − | 18.0000i | − | 0.647834i | ||||||
\(773\) | 8.66025 | − | 5.00000i | 0.311488 | − | 0.179838i | −0.336104 | − | 0.941825i | \(-0.609109\pi\) |
0.647592 | + | 0.761987i | \(0.275776\pi\) | |||||||
\(774\) | 10.3923 | − | 6.00000i | 0.373544 | − | 0.215666i | ||||
\(775\) | 4.00000i | 0.143684i | ||||||||
\(776\) | 15.0000 | + | 25.9808i | 0.538469 | + | 0.932655i | ||||
\(777\) | −4.00000 | + | 6.92820i | −0.143499 | + | 0.248548i | ||||
\(778\) | 19.0526 | + | 11.0000i | 0.683067 | + | 0.394369i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.00000 | + | 8.66025i | −0.178685 | + |