Newspace parameters
Level: | \( N \) | \(=\) | \( 845 = 5 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 845.l (of order \(6\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(6.74735897080\) |
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: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 654.1 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 845.654 |
Dual form | 845.2.l.a.699.1 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).
\(n\) | \(171\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 0.866025i | −0.353553 | + | 0.612372i | −0.986869 | − | 0.161521i | \(-0.948360\pi\) |
0.633316 | + | 0.773893i | \(0.281693\pi\) | |||||||
\(3\) | −1.73205 | − | 1.00000i | −1.00000 | − | 0.577350i | −0.0917517 | − | 0.995782i | \(-0.529247\pi\) |
−0.908248 | + | 0.418432i | \(0.862580\pi\) | |||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 1.00000 | − | 2.00000i | 0.447214 | − | 0.894427i | ||||
\(6\) | 1.73205 | − | 1.00000i | 0.707107 | − | 0.408248i | ||||
\(7\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(8\) | −3.00000 | −1.06066 | ||||||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 1.23205 | + | 1.86603i | 0.389609 | + | 0.590089i | ||||
\(11\) | 1.73205 | + | 1.00000i | 0.522233 | + | 0.301511i | 0.737848 | − | 0.674967i | \(-0.235842\pi\) |
−0.215615 | + | 0.976478i | \(0.569176\pi\) | |||||||
\(12\) | − | 2.00000i | − | 0.577350i | ||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.73205 | + | 2.46410i | −0.963611 | + | 0.636228i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | 5.19615 | − | 3.00000i | 1.19208 | − | 0.688247i | 0.233301 | − | 0.972404i | \(-0.425047\pi\) |
0.958778 | + | 0.284157i | \(0.0917138\pi\) | |||||||
\(20\) | 2.23205 | − | 0.133975i | 0.499102 | − | 0.0299576i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.73205 | + | 1.00000i | −0.369274 | + | 0.213201i | ||||
\(23\) | −5.19615 | − | 3.00000i | −1.08347 | − | 0.625543i | −0.151642 | − | 0.988436i | \(-0.548456\pi\) |
−0.931831 | + | 0.362892i | \(0.881789\pi\) | |||||||
\(24\) | 5.19615 | + | 3.00000i | 1.06066 | + | 0.612372i | ||||
\(25\) | −3.00000 | − | 4.00000i | −0.600000 | − | 0.800000i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.00000i | 0.769800i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.00000 | + | 5.19615i | −0.557086 | + | 0.964901i | 0.440652 | + | 0.897678i | \(0.354747\pi\) |
−0.997738 | + | 0.0672232i | \(0.978586\pi\) | |||||||
\(30\) | −0.267949 | − | 4.46410i | −0.0489206 | − | 0.815030i | ||||
\(31\) | − | 6.00000i | − | 1.07763i | −0.842424 | − | 0.538816i | \(-0.818872\pi\) | ||
0.842424 | − | 0.538816i | \(-0.181128\pi\) | |||||||
\(32\) | −2.50000 | − | 4.33013i | −0.441942 | − | 0.765466i | ||||
\(33\) | −2.00000 | − | 3.46410i | −0.348155 | − | 0.603023i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | 3.00000 | − | 5.19615i | 0.493197 | − | 0.854242i | −0.506772 | − | 0.862080i | \(-0.669162\pi\) |
0.999969 | + | 0.00783774i | \(0.00249486\pi\) | |||||||
\(38\) | 6.00000i | 0.973329i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −3.00000 | + | 6.00000i | −0.474342 | + | 0.948683i | ||||
\(41\) | −6.92820 | − | 4.00000i | −1.08200 | − | 0.624695i | −0.150567 | − | 0.988600i | \(-0.548110\pi\) |
−0.931436 | + | 0.363905i | \(0.881443\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.19615 | + | 3.00000i | −0.792406 | + | 0.457496i | −0.840809 | − | 0.541332i | \(-0.817920\pi\) |
0.0484030 | + | 0.998828i | \(0.484587\pi\) | |||||||
\(44\) | 2.00000i | 0.301511i | ||||||||
\(45\) | 2.23205 | − | 0.133975i | 0.332734 | − | 0.0199718i | ||||
\(46\) | 5.19615 | − | 3.00000i | 0.766131 | − | 0.442326i | ||||
\(47\) | 8.00000 | 1.16692 | 0.583460 | − | 0.812142i | \(-0.301699\pi\) | ||||
0.583460 | + | 0.812142i | \(0.301699\pi\) | |||||||
\(48\) | −1.73205 | + | 1.00000i | −0.250000 | + | 0.144338i | ||||
\(49\) | 3.50000 | − | 6.06218i | 0.500000 | − | 0.866025i | ||||
\(50\) | 4.96410 | − | 0.598076i | 0.702030 | − | 0.0845807i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 12.0000i | − | 1.64833i | −0.566352 | − | 0.824163i | \(-0.691646\pi\) | ||
0.566352 | − | 0.824163i | \(-0.308354\pi\) | |||||||
\(54\) | −3.46410 | − | 2.00000i | −0.471405 | − | 0.272166i | ||||
\(55\) | 3.73205 | − | 2.46410i | 0.503230 | − | 0.332259i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −12.0000 | −1.58944 | ||||||||
\(58\) | −3.00000 | − | 5.19615i | −0.393919 | − | 0.682288i | ||||
\(59\) | −1.73205 | + | 1.00000i | −0.225494 | + | 0.130189i | −0.608492 | − | 0.793560i | \(-0.708225\pi\) |
0.382998 | + | 0.923749i | \(0.374892\pi\) | |||||||
\(60\) | −4.00000 | − | 2.00000i | −0.516398 | − | 0.258199i | ||||
\(61\) | −3.00000 | − | 5.19615i | −0.384111 | − | 0.665299i | 0.607535 | − | 0.794293i | \(-0.292159\pi\) |
−0.991645 | + | 0.128994i | \(0.958825\pi\) | |||||||
\(62\) | 5.19615 | + | 3.00000i | 0.659912 | + | 0.381000i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.00000 | 0.875000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 4.00000 | 0.492366 | ||||||||
\(67\) | 6.00000 | − | 10.3923i | 0.733017 | − | 1.26962i | −0.222571 | − | 0.974916i | \(-0.571445\pi\) |
0.955588 | − | 0.294706i | \(-0.0952216\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 6.00000 | + | 10.3923i | 0.722315 | + | 1.25109i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.73205 | − | 1.00000i | 0.205557 | − | 0.118678i | −0.393688 | − | 0.919244i | \(-0.628801\pi\) |
0.599245 | + | 0.800566i | \(0.295468\pi\) | |||||||
\(72\) | −1.50000 | − | 2.59808i | −0.176777 | − | 0.306186i | ||||
\(73\) | 6.00000 | 0.702247 | 0.351123 | − | 0.936329i | \(-0.385800\pi\) | ||||
0.351123 | + | 0.936329i | \(0.385800\pi\) | |||||||
\(74\) | 3.00000 | + | 5.19615i | 0.348743 | + | 0.604040i | ||||
\(75\) | 1.19615 | + | 9.92820i | 0.138120 | + | 1.14641i | ||||
\(76\) | 5.19615 | + | 3.00000i | 0.596040 | + | 0.344124i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(80\) | −1.23205 | − | 1.86603i | −0.137747 | − | 0.208628i | ||||
\(81\) | 5.50000 | − | 9.52628i | 0.611111 | − | 1.05848i | ||||
\(82\) | 6.92820 | − | 4.00000i | 0.765092 | − | 0.441726i | ||||
\(83\) | 4.00000 | 0.439057 | 0.219529 | − | 0.975606i | \(-0.429548\pi\) | ||||
0.219529 | + | 0.975606i | \(0.429548\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | − | 6.00000i | − | 0.646997i | ||||||
\(87\) | 10.3923 | − | 6.00000i | 1.11417 | − | 0.643268i | ||||
\(88\) | −5.19615 | − | 3.00000i | −0.553912 | − | 0.319801i | ||||
\(89\) | −6.92820 | − | 4.00000i | −0.734388 | − | 0.423999i | 0.0856373 | − | 0.996326i | \(-0.472707\pi\) |
−0.820025 | + | 0.572327i | \(0.806041\pi\) | |||||||
\(90\) | −1.00000 | + | 2.00000i | −0.105409 | + | 0.210819i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | − | 6.00000i | − | 0.625543i | ||||||
\(93\) | −6.00000 | + | 10.3923i | −0.622171 | + | 1.07763i | ||||
\(94\) | −4.00000 | + | 6.92820i | −0.412568 | + | 0.714590i | ||||
\(95\) | −0.803848 | − | 13.3923i | −0.0824730 | − | 1.37402i | ||||
\(96\) | 10.0000i | 1.02062i | ||||||||
\(97\) | −3.00000 | − | 5.19615i | −0.304604 | − | 0.527589i | 0.672569 | − | 0.740034i | \(-0.265191\pi\) |
−0.977173 | + | 0.212445i | \(0.931857\pi\) | |||||||
\(98\) | 3.50000 | + | 6.06218i | 0.353553 | + | 0.612372i | ||||
\(99\) | 2.00000i | 0.201008i | ||||||||
\(100\) | 1.96410 | − | 4.59808i | 0.196410 | − | 0.459808i | ||||
\(101\) | −3.00000 | + | 5.19615i | −0.298511 | + | 0.517036i | −0.975796 | − | 0.218685i | \(-0.929823\pi\) |
0.677284 | + | 0.735721i | \(0.263157\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.00000i | 0.591198i | 0.955312 | + | 0.295599i | \(0.0955191\pi\) | ||||
−0.955312 | + | 0.295599i | \(0.904481\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.3923 | + | 6.00000i | 1.00939 | + | 0.582772i | ||||
\(107\) | 5.19615 | + | 3.00000i | 0.502331 | + | 0.290021i | 0.729676 | − | 0.683793i | \(-0.239671\pi\) |
−0.227345 | + | 0.973814i | \(0.573004\pi\) | |||||||
\(108\) | −3.46410 | + | 2.00000i | −0.333333 | + | 0.192450i | ||||
\(109\) | − | 12.0000i | − | 1.14939i | −0.818367 | − | 0.574696i | \(-0.805120\pi\) | ||
0.818367 | − | 0.574696i | \(-0.194880\pi\) | |||||||
\(110\) | 0.267949 | + | 4.46410i | 0.0255480 | + | 0.425635i | ||||
\(111\) | −10.3923 | + | 6.00000i | −0.986394 | + | 0.569495i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(114\) | 6.00000 | − | 10.3923i | 0.561951 | − | 0.973329i | ||||
\(115\) | −11.1962 | + | 7.39230i | −1.04405 | + | 0.689336i | ||||
\(116\) | −6.00000 | −0.557086 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 2.00000i | − | 0.184115i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 11.1962 | − | 7.39230i | 1.02206 | − | 0.674822i | ||||
\(121\) | −3.50000 | − | 6.06218i | −0.318182 | − | 0.551107i | ||||
\(122\) | 6.00000 | 0.543214 | ||||||||
\(123\) | 8.00000 | + | 13.8564i | 0.721336 | + | 1.24939i | ||||
\(124\) | 5.19615 | − | 3.00000i | 0.466628 | − | 0.269408i | ||||
\(125\) | −11.0000 | + | 2.00000i | −0.983870 | + | 0.178885i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.73205 | + | 1.00000i | 0.153695 | + | 0.0887357i | 0.574875 | − | 0.818241i | \(-0.305051\pi\) |
−0.421180 | + | 0.906977i | \(0.638384\pi\) | |||||||
\(128\) | 1.50000 | − | 2.59808i | 0.132583 | − | 0.229640i | ||||
\(129\) | 12.0000 | 1.05654 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.0000 | −1.04844 | −0.524222 | − | 0.851581i | \(-0.675644\pi\) | ||||
−0.524222 | + | 0.851581i | \(0.675644\pi\) | |||||||
\(132\) | 2.00000 | − | 3.46410i | 0.174078 | − | 0.301511i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 6.00000 | + | 10.3923i | 0.518321 | + | 0.897758i | ||||
\(135\) | 8.00000 | + | 4.00000i | 0.688530 | + | 0.344265i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.00000 | + | 1.73205i | 0.0854358 | + | 0.147979i | 0.905577 | − | 0.424182i | \(-0.139438\pi\) |
−0.820141 | + | 0.572161i | \(0.806105\pi\) | |||||||
\(138\) | −12.0000 | −1.02151 | ||||||||
\(139\) | 2.00000 | + | 3.46410i | 0.169638 | + | 0.293821i | 0.938293 | − | 0.345843i | \(-0.112407\pi\) |
−0.768655 | + | 0.639664i | \(0.779074\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −13.8564 | − | 8.00000i | −1.16692 | − | 0.673722i | ||||
\(142\) | 2.00000i | 0.167836i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 1.00000 | 0.0833333 | ||||||||
\(145\) | 7.39230 | + | 11.1962i | 0.613898 | + | 0.929790i | ||||
\(146\) | −3.00000 | + | 5.19615i | −0.248282 | + | 0.430037i | ||||
\(147\) | −12.1244 | + | 7.00000i | −1.00000 | + | 0.577350i | ||||
\(148\) | 6.00000 | 0.493197 | ||||||||
\(149\) | −17.3205 | + | 10.0000i | −1.41895 | + | 0.819232i | −0.996207 | − | 0.0870170i | \(-0.972267\pi\) |
−0.422744 | + | 0.906249i | \(0.638933\pi\) | |||||||
\(150\) | −9.19615 | − | 3.92820i | −0.750863 | − | 0.320736i | ||||
\(151\) | 18.0000i | 1.46482i | 0.680864 | + | 0.732410i | \(0.261604\pi\) | ||||
−0.680864 | + | 0.732410i | \(0.738396\pi\) | |||||||
\(152\) | −15.5885 | + | 9.00000i | −1.26439 | + | 0.729996i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −12.0000 | − | 6.00000i | −0.963863 | − | 0.481932i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 12.0000i | 0.957704i | 0.877896 | + | 0.478852i | \(0.158947\pi\) | ||||
−0.877896 | + | 0.478852i | \(0.841053\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −12.0000 | + | 20.7846i | −0.951662 | + | 1.64833i | ||||
\(160\) | −11.1603 | + | 0.669873i | −0.882296 | + | 0.0529581i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 5.50000 | + | 9.52628i | 0.432121 | + | 0.748455i | ||||
\(163\) | 6.00000 | + | 10.3923i | 0.469956 | + | 0.813988i | 0.999410 | − | 0.0343508i | \(-0.0109363\pi\) |
−0.529454 | + | 0.848339i | \(0.677603\pi\) | |||||||
\(164\) | − | 8.00000i | − | 0.624695i | ||||||
\(165\) | −8.92820 | + | 0.535898i | −0.695060 | + | 0.0417196i | ||||
\(166\) | −2.00000 | + | 3.46410i | −0.155230 | + | 0.268866i | ||||
\(167\) | −8.00000 | + | 13.8564i | −0.619059 | + | 1.07224i | 0.370599 | + | 0.928793i | \(0.379152\pi\) |
−0.989658 | + | 0.143448i | \(0.954181\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 5.19615 | + | 3.00000i | 0.397360 | + | 0.229416i | ||||
\(172\) | −5.19615 | − | 3.00000i | −0.396203 | − | 0.228748i | ||||
\(173\) | 10.3923 | − | 6.00000i | 0.790112 | − | 0.456172i | −0.0498898 | − | 0.998755i | \(-0.515887\pi\) |
0.840002 | + | 0.542583i | \(0.182554\pi\) | |||||||
\(174\) | 12.0000i | 0.909718i | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 1.73205 | − | 1.00000i | 0.130558 | − | 0.0753778i | ||||
\(177\) | 4.00000 | 0.300658 | ||||||||
\(178\) | 6.92820 | − | 4.00000i | 0.519291 | − | 0.299813i | ||||
\(179\) | 6.00000 | − | 10.3923i | 0.448461 | − | 0.776757i | −0.549825 | − | 0.835280i | \(-0.685306\pi\) |
0.998286 | + | 0.0585225i | \(0.0186389\pi\) | |||||||
\(180\) | 1.23205 | + | 1.86603i | 0.0918316 | + | 0.139085i | ||||
\(181\) | −2.00000 | −0.148659 | −0.0743294 | − | 0.997234i | \(-0.523682\pi\) | ||||
−0.0743294 | + | 0.997234i | \(0.523682\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 12.0000i | 0.887066i | ||||||||
\(184\) | 15.5885 | + | 9.00000i | 1.14920 | + | 0.663489i | ||||
\(185\) | −7.39230 | − | 11.1962i | −0.543493 | − | 0.823157i | ||||
\(186\) | −6.00000 | − | 10.3923i | −0.439941 | − | 0.762001i | ||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 4.00000 | + | 6.92820i | 0.291730 | + | 0.505291i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 12.0000 | + | 6.00000i | 0.870572 | + | 0.435286i | ||||
\(191\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(192\) | −12.1244 | − | 7.00000i | −0.875000 | − | 0.505181i | ||||
\(193\) | −3.00000 | + | 5.19615i | −0.215945 | + | 0.374027i | −0.953564 | − | 0.301189i | \(-0.902616\pi\) |
0.737620 | + | 0.675216i | \(0.235950\pi\) | |||||||
\(194\) | 6.00000 | 0.430775 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.00000 | 0.500000 | ||||||||
\(197\) | −1.00000 | + | 1.73205i | −0.0712470 | + | 0.123404i | −0.899448 | − | 0.437028i | \(-0.856031\pi\) |
0.828201 | + | 0.560431i | \(0.189365\pi\) | |||||||
\(198\) | −1.73205 | − | 1.00000i | −0.123091 | − | 0.0710669i | ||||
\(199\) | 12.0000 | + | 20.7846i | 0.850657 | + | 1.47338i | 0.880616 | + | 0.473831i | \(0.157129\pi\) |
−0.0299585 | + | 0.999551i | \(0.509538\pi\) | |||||||
\(200\) | 9.00000 | + | 12.0000i | 0.636396 | + | 0.848528i | ||||
\(201\) | −20.7846 | + | 12.0000i | −1.46603 | + | 0.846415i | ||||
\(202\) | −3.00000 | − | 5.19615i | −0.211079 | − | 0.365600i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.9282 | + | 9.85641i | −1.04263 | + | 0.688401i | ||||
\(206\) | −5.19615 | − | 3.00000i | −0.362033 | − | 0.209020i | ||||
\(207\) | − | 6.00000i | − | 0.417029i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 12.0000 | 0.830057 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.00000 | − | 10.3923i | 0.413057 | − | 0.715436i | −0.582165 | − | 0.813070i | \(-0.697794\pi\) |
0.995222 | + | 0.0976347i | \(0.0311277\pi\) | |||||||
\(212\) | 10.3923 | − | 6.00000i | 0.713746 | − | 0.412082i | ||||
\(213\) | −4.00000 | −0.274075 | ||||||||
\(214\) | −5.19615 | + | 3.00000i | −0.355202 | + | 0.205076i | ||||
\(215\) | 0.803848 | + | 13.3923i | 0.0548219 | + | 0.913348i | ||||
\(216\) | − | 12.0000i | − | 0.816497i | ||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 10.3923 | + | 6.00000i | 0.703856 | + | 0.406371i | ||||
\(219\) | −10.3923 | − | 6.00000i | −0.702247 | − | 0.405442i | ||||
\(220\) | 4.00000 | + | 2.00000i | 0.269680 | + | 0.134840i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | − | 12.0000i | − | 0.805387i | ||||||
\(223\) | 12.0000 | − | 20.7846i | 0.803579 | − | 1.39184i | −0.113666 | − | 0.993519i | \(-0.536260\pi\) |
0.917246 | − | 0.398321i | \(-0.130407\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.96410 | − | 4.59808i | 0.130940 | − | 0.306538i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.00000 | − | 3.46410i | −0.132745 | − | 0.229920i | 0.791989 | − | 0.610535i | \(-0.209046\pi\) |
−0.924734 | + | 0.380615i | \(0.875712\pi\) | |||||||
\(228\) | −6.00000 | − | 10.3923i | −0.397360 | − | 0.688247i | ||||
\(229\) | 12.0000i | 0.792982i | 0.918039 | + | 0.396491i | \(0.129772\pi\) | ||||
−0.918039 | + | 0.396491i | \(0.870228\pi\) | |||||||
\(230\) | −0.803848 | − | 13.3923i | −0.0530041 | − | 0.883062i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.00000 | − | 15.5885i | 0.590879 | − | 1.02343i | ||||
\(233\) | − | 24.0000i | − | 1.57229i | −0.618041 | − | 0.786146i | \(-0.712073\pi\) | ||
0.618041 | − | 0.786146i | \(-0.287927\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 8.00000 | − | 16.0000i | 0.521862 | − | 1.04372i | ||||
\(236\) | −1.73205 | − | 1.00000i | −0.112747 | − | 0.0650945i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 10.0000i | 0.646846i | 0.946254 | + | 0.323423i | \(0.104834\pi\) | ||||
−0.946254 | + | 0.323423i | \(0.895166\pi\) | |||||||
\(240\) | 0.267949 | + | 4.46410i | 0.0172960 | + | 0.288157i | ||||
\(241\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(242\) | 7.00000 | 0.449977 | ||||||||
\(243\) | −8.66025 | + | 5.00000i | −0.555556 | + | 0.320750i | ||||
\(244\) | 3.00000 | − | 5.19615i | 0.192055 | − | 0.332650i | ||||
\(245\) | −8.62436 | − | 13.0622i | −0.550990 | − | 0.834512i | ||||
\(246\) | −16.0000 | −1.02012 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 18.0000i | 1.14300i | ||||||||
\(249\) | −6.92820 | − | 4.00000i | −0.439057 | − | 0.253490i | ||||
\(250\) | 3.76795 | − | 10.5263i | 0.238306 | − | 0.665740i | ||||
\(251\) | −6.00000 | − | 10.3923i | −0.378717 | − | 0.655956i | 0.612159 | − | 0.790735i | \(-0.290301\pi\) |
−0.990876 | + | 0.134778i | \(0.956968\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.00000 | − | 10.3923i | −0.377217 | − | 0.653359i | ||||
\(254\) | −1.73205 | + | 1.00000i | −0.108679 | + | 0.0627456i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.50000 | + | 14.7224i | 0.531250 | + | 0.920152i | ||||
\(257\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(258\) | −6.00000 | + | 10.3923i | −0.373544 | + | 0.646997i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.00000 | −0.371391 | ||||||||
\(262\) | 6.00000 | − | 10.3923i | 0.370681 | − | 0.642039i | ||||
\(263\) | −5.19615 | − | 3.00000i | −0.320408 | − | 0.184988i | 0.331166 | − | 0.943572i | \(-0.392558\pi\) |
−0.651575 | + | 0.758585i | \(0.725891\pi\) | |||||||
\(264\) | 6.00000 | + | 10.3923i | 0.369274 | + | 0.639602i | ||||
\(265\) | −24.0000 | − | 12.0000i | −1.47431 | − | 0.737154i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.00000 | + | 13.8564i | 0.489592 | + | 0.847998i | ||||
\(268\) | 12.0000 | 0.733017 | ||||||||
\(269\) | 9.00000 | + | 15.5885i | 0.548740 | + | 0.950445i | 0.998361 | + | 0.0572259i | \(0.0182255\pi\) |
−0.449622 | + | 0.893219i | \(0.648441\pi\) | |||||||
\(270\) | −7.46410 | + | 4.92820i | −0.454251 | + | 0.299921i | ||||
\(271\) | 5.19615 | + | 3.00000i | 0.315644 | + | 0.182237i | 0.649449 | − | 0.760405i | \(-0.275000\pi\) |
−0.333805 | + | 0.942642i | \(0.608333\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.00000 | −0.120824 | ||||||||
\(275\) | −1.19615 | − | 9.92820i | −0.0721307 | − | 0.598693i | ||||
\(276\) | −6.00000 | + | 10.3923i | −0.361158 | + | 0.625543i | ||||
\(277\) | −10.3923 | + | 6.00000i | −0.624413 | + | 0.360505i | −0.778585 | − | 0.627539i | \(-0.784062\pi\) |
0.154172 | + | 0.988044i | \(0.450729\pi\) | |||||||
\(278\) | −4.00000 | −0.239904 | ||||||||
\(279\) | 5.19615 | − | 3.00000i | 0.311086 | − | 0.179605i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 8.00000i | − | 0.477240i | −0.971113 | − | 0.238620i | \(-0.923305\pi\) | ||
0.971113 | − | 0.238620i | \(-0.0766950\pi\) | |||||||
\(282\) | 13.8564 | − | 8.00000i | 0.825137 | − | 0.476393i | ||||
\(283\) | 19.0526 | + | 11.0000i | 1.13256 | + | 0.653882i | 0.944577 | − | 0.328291i | \(-0.106473\pi\) |
0.187980 | + | 0.982173i | \(0.439806\pi\) | |||||||
\(284\) | 1.73205 | + | 1.00000i | 0.102778 | + | 0.0593391i | ||||
\(285\) | −12.0000 | + | 24.0000i | −0.710819 | + | 1.42164i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 2.50000 | − | 4.33013i | 0.147314 | − | 0.255155i | ||||
\(289\) | −8.50000 | + | 14.7224i | −0.500000 | + | 0.866025i | ||||
\(290\) | −13.3923 | + | 0.803848i | −0.786423 | + | 0.0472036i | ||||
\(291\) | 12.0000i | 0.703452i | ||||||||
\(292\) | 3.00000 | + | 5.19615i | 0.175562 | + | 0.304082i | ||||
\(293\) | −13.0000 | − | 22.5167i | −0.759468 | − | 1.31544i | −0.943122 | − | 0.332446i | \(-0.892126\pi\) |
0.183654 | − | 0.982991i | \(-0.441207\pi\) | |||||||
\(294\) | − | 14.0000i | − | 0.816497i | ||||||
\(295\) | 0.267949 | + | 4.46410i | 0.0156006 | + | 0.259910i | ||||
\(296\) | −9.00000 | + | 15.5885i | −0.523114 | + | 0.906061i | ||||
\(297\) | −4.00000 | + | 6.92820i | −0.232104 | + | 0.402015i | ||||
\(298\) | − | 20.0000i | − | 1.15857i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −8.00000 | + | 6.00000i | −0.461880 | + | 0.346410i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −15.5885 | − | 9.00000i | −0.897015 | − | 0.517892i | ||||
\(303\) | 10.3923 | − | 6.00000i | 0.597022 | − | 0.344691i | ||||
\(304\) | − | 6.00000i | − | 0.344124i | ||||||
\(305\) | −13.3923 | + | 0.803848i | −0.766841 | + | 0.0460282i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.0000 | −0.684876 | −0.342438 | − | 0.939540i | \(-0.611253\pi\) | ||||
−0.342438 | + | 0.939540i | \(0.611253\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 6.00000 | − | 10.3923i | 0.341328 | − | 0.591198i | ||||
\(310\) | 11.1962 | − | 7.39230i | 0.635899 | − | 0.419855i | ||||
\(311\) | 24.0000 | 1.36092 | 0.680458 | − | 0.732787i | \(-0.261781\pi\) | ||||
0.680458 | + | 0.732787i | \(0.261781\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.00000i | 0.452187i | 0.974106 | + | 0.226093i | \(0.0725954\pi\) | ||||
−0.974106 | + | 0.226093i | \(0.927405\pi\) | |||||||
\(314\) | −10.3923 | − | 6.00000i | −0.586472 | − | 0.338600i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 2.00000 | 0.112331 | 0.0561656 | − | 0.998421i | \(-0.482113\pi\) | ||||
0.0561656 | + | 0.998421i | \(0.482113\pi\) | |||||||
\(318\) | −12.0000 | − | 20.7846i | −0.672927 | − | 1.16554i | ||||
\(319\) | −10.3923 | + | 6.00000i | −0.581857 | + | 0.335936i | ||||
\(320\) | 7.00000 | − | 14.0000i | 0.391312 | − | 0.782624i | ||||
\(321\) | −6.00000 | − | 10.3923i | −0.334887 | − | 0.580042i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 11.0000 | 0.611111 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −12.0000 | −0.664619 | ||||||||
\(327\) | −12.0000 | + | 20.7846i | −0.663602 | + | 1.14939i | ||||
\(328\) | 20.7846 | + | 12.0000i | 1.14764 | + | 0.662589i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 4.00000 | − | 8.00000i | 0.220193 | − | 0.440386i | ||||
\(331\) | 25.9808 | − | 15.0000i | 1.42803 | − | 0.824475i | 0.431066 | − | 0.902320i | \(-0.358137\pi\) |
0.996965 | + | 0.0778456i | \(0.0248041\pi\) | |||||||
\(332\) | 2.00000 | + | 3.46410i | 0.109764 | + | 0.190117i | ||||
\(333\) | 6.00000 | 0.328798 | ||||||||
\(334\) | −8.00000 | − | 13.8564i | −0.437741 | − | 0.758189i | ||||
\(335\) | −14.7846 | − | 22.3923i | −0.807770 | − | 1.22342i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 32.0000i | 1.74315i | 0.490261 | + | 0.871576i | \(0.336901\pi\) | ||||
−0.490261 | + | 0.871576i | \(0.663099\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.00000 | − | 10.3923i | 0.324918 | − | 0.562775i | ||||
\(342\) | −5.19615 | + | 3.00000i | −0.280976 | + | 0.162221i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 15.5885 | − | 9.00000i | 0.840473 | − | 0.485247i | ||||
\(345\) | 26.7846 | − | 1.60770i | 1.44203 | − | 0.0865554i | ||||
\(346\) | 12.0000i | 0.645124i | ||||||||
\(347\) | −5.19615 | + | 3.00000i | −0.278944 | + | 0.161048i | −0.632945 | − | 0.774197i | \(-0.718154\pi\) |
0.354001 | + | 0.935245i | \(0.384821\pi\) | |||||||
\(348\) | 10.3923 | + | 6.00000i | 0.557086 | + | 0.321634i | ||||
\(349\) | 10.3923 | + | 6.00000i | 0.556287 | + | 0.321173i | 0.751654 | − | 0.659558i | \(-0.229256\pi\) |
−0.195367 | + | 0.980730i | \(0.562590\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | − | 10.0000i | − | 0.533002i | ||||||
\(353\) | −7.00000 | + | 12.1244i | −0.372572 | + | 0.645314i | −0.989960 | − | 0.141344i | \(-0.954858\pi\) |
0.617388 | + | 0.786659i | \(0.288191\pi\) | |||||||
\(354\) | −2.00000 | + | 3.46410i | −0.106299 | + | 0.184115i | ||||
\(355\) | −0.267949 | − | 4.46410i | −0.0142213 | − | 0.236930i | ||||
\(356\) | − | 8.00000i | − | 0.423999i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.00000 | + | 10.3923i | 0.317110 | + | 0.549250i | ||||
\(359\) | 2.00000i | 0.105556i | 0.998606 | + | 0.0527780i | \(0.0168076\pi\) | ||||
−0.998606 | + | 0.0527780i | \(0.983192\pi\) | |||||||
\(360\) | −6.69615 | + | 0.401924i | −0.352918 | + | 0.0211832i | ||||
\(361\) | 8.50000 | − | 14.7224i | 0.447368 | − | 0.774865i | ||||
\(362\) | 1.00000 | − | 1.73205i | 0.0525588 | − | 0.0910346i | ||||
\(363\) | 14.0000i | 0.734809i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 6.00000 | − | 12.0000i | 0.314054 | − | 0.628109i | ||||
\(366\) | −10.3923 | − | 6.00000i | −0.543214 | − | 0.313625i | ||||
\(367\) | 15.5885 | + | 9.00000i | 0.813711 | + | 0.469796i | 0.848243 | − | 0.529607i | \(-0.177661\pi\) |
−0.0345320 | + | 0.999404i | \(0.510994\pi\) | |||||||
\(368\) | −5.19615 | + | 3.00000i | −0.270868 | + | 0.156386i | ||||
\(369\) | − | 8.00000i | − | 0.416463i | ||||||
\(370\) | 13.3923 | − | 0.803848i | 0.696233 | − | 0.0417900i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −12.0000 | −0.622171 | ||||||||
\(373\) | 3.46410 | − | 2.00000i | 0.179364 | − | 0.103556i | −0.407630 | − | 0.913147i | \(-0.633645\pi\) |
0.586994 | + | 0.809591i | \(0.300311\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 21.0526 | + | 7.53590i | 1.08715 | + | 0.389152i | ||||
\(376\) | −24.0000 | −1.23771 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.5885 | + | 9.00000i | 0.800725 | + | 0.462299i | 0.843725 | − | 0.536776i | \(-0.180358\pi\) |
−0.0429994 | + | 0.999075i | \(0.513691\pi\) | |||||||
\(380\) | 11.1962 | − | 7.39230i | 0.574351 | − | 0.379217i | ||||
\(381\) | −2.00000 | − | 3.46410i | −0.102463 | − | 0.177471i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 4.00000 | + | 6.92820i | 0.204390 | + | 0.354015i | 0.949938 | − | 0.312437i | \(-0.101145\pi\) |
−0.745548 | + | 0.666452i | \(0.767812\pi\) | |||||||
\(384\) | −5.19615 | + | 3.00000i | −0.265165 | + | 0.153093i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.00000 | − | 5.19615i | −0.152696 | − | 0.264477i | ||||
\(387\) | −5.19615 | − | 3.00000i | −0.264135 | − | 0.152499i | ||||
\(388\) | 3.00000 | − | 5.19615i | 0.152302 | − | 0.263795i | ||||
\(389\) | 6.00000 | 0.304212 | 0.152106 | − | 0.988364i | \(-0.451394\pi\) | ||||
0.152106 | + | 0.988364i | \(0.451394\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | −10.5000 | + | 18.1865i | −0.530330 | + | 0.918559i | ||||
\(393\) | 20.7846 | + | 12.0000i | 1.04844 | + | 0.605320i | ||||
\(394\) | −1.00000 | − | 1.73205i | −0.0503793 | − | 0.0872595i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −1.73205 | + | 1.00000i | −0.0870388 | + | 0.0502519i | ||||
\(397\) | −9.00000 | − | 15.5885i | −0.451697 | − | 0.782362i | 0.546795 | − | 0.837267i | \(-0.315848\pi\) |
−0.998492 | + | 0.0549046i | \(0.982515\pi\) | |||||||
\(398\) | −24.0000 | −1.20301 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.96410 | + | 0.598076i | −0.248205 | + | 0.0299038i | ||||
\(401\) | 13.8564 | + | 8.00000i | 0.691956 | + | 0.399501i | 0.804344 | − | 0.594163i | \(-0.202517\pi\) |
−0.112388 | + | 0.993664i | \(0.535850\pi\) | |||||||
\(402\) | − | 24.0000i | − | 1.19701i | ||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −6.00000 | −0.298511 | ||||||||
\(405\) | −13.5526 | − | 20.5263i | −0.673432 | − | 1.01996i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 10.3923 | − | 6.00000i | 0.515127 | − | 0.297409i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 20.7846 | − | 12.0000i | 1.02773 | − | 0.593362i | 0.111398 | − | 0.993776i | \(-0.464467\pi\) |
0.916334 | + | 0.400414i | \(0.131134\pi\) | |||||||
\(410\) | −1.07180 | − | 17.8564i | −0.0529323 | − | 0.881865i | ||||
\(411\) | − | 4.00000i | − | 0.197305i | ||||||
\(412\) | −5.19615 | + | 3.00000i | −0.255996 | + | 0.147799i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 5.19615 | + | 3.00000i | 0.255377 | + | 0.147442i | ||||
\(415\) | 4.00000 | − | 8.00000i | 0.196352 | − | 0.392705i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 8.00000i | − | 0.391762i | ||||||
\(418\) | −6.00000 | + | 10.3923i | −0.293470 | + | 0.508304i | ||||
\(419\) | 6.00000 | − | 10.3923i | 0.293119 | − | 0.507697i | −0.681426 | − | 0.731887i | \(-0.738640\pi\) |
0.974546 | + | 0.224189i | \(0.0719734\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 36.0000i | − | 1.75453i | −0.480004 | − | 0.877266i | \(-0.659365\pi\) | ||
0.480004 | − | 0.877266i | \(-0.340635\pi\) | |||||||
\(422\) | 6.00000 | + | 10.3923i | 0.292075 | + | 0.505889i | ||||
\(423\) | 4.00000 | + | 6.92820i | 0.194487 | + | 0.336861i | ||||
\(424\) | 36.0000i | 1.74831i | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 2.00000 | − | 3.46410i | 0.0969003 | − | 0.167836i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 6.00000i | 0.290021i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −12.0000 | − | 6.00000i | −0.578691 | − | 0.289346i | ||||
\(431\) | −8.66025 | − | 5.00000i | −0.417150 | − | 0.240842i | 0.276707 | − | 0.960954i | \(-0.410757\pi\) |
−0.693857 | + | 0.720113i | \(0.744090\pi\) | |||||||
\(432\) | 3.46410 | + | 2.00000i | 0.166667 | + | 0.0962250i | ||||
\(433\) | 13.8564 | − | 8.00000i | 0.665896 | − | 0.384455i | −0.128624 | − | 0.991693i | \(-0.541056\pi\) |
0.794520 | + | 0.607238i | \(0.207723\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.60770 | − | 26.7846i | −0.0770831 | − | 1.28422i | ||||
\(436\) | 10.3923 | − | 6.00000i | 0.497701 | − | 0.287348i | ||||
\(437\) | −36.0000 | −1.72211 | ||||||||
\(438\) | 10.3923 | − | 6.00000i | 0.496564 | − | 0.286691i | ||||
\(439\) | −4.00000 | + | 6.92820i | −0.190910 | + | 0.330665i | −0.945552 | − | 0.325471i | \(-0.894477\pi\) |
0.754642 | + | 0.656136i | \(0.227810\pi\) | |||||||
\(440\) | −11.1962 | + | 7.39230i | −0.533756 | + | 0.352414i | ||||
\(441\) | 7.00000 | 0.333333 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − | 6.00000i | − | 0.285069i | −0.989790 | − | 0.142534i | \(-0.954475\pi\) | ||
0.989790 | − | 0.142534i | \(-0.0455251\pi\) | |||||||
\(444\) | −10.3923 | − | 6.00000i | −0.493197 | − | 0.284747i | ||||
\(445\) | −14.9282 | + | 9.85641i | −0.707665 | + | 0.467238i | ||||
\(446\) | 12.0000 | + | 20.7846i | 0.568216 | + | 0.984180i | ||||
\(447\) | 40.0000 | 1.89194 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.8564 | − | 8.00000i | 0.653924 | − | 0.377543i | −0.136034 | − | 0.990704i | \(-0.543436\pi\) |
0.789958 | + | 0.613161i | \(0.210102\pi\) | |||||||
\(450\) | 3.00000 | + | 4.00000i | 0.141421 | + | 0.188562i | ||||
\(451\) | −8.00000 | − | 13.8564i | −0.376705 | − | 0.652473i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 18.0000 | − | 31.1769i | 0.845714 | − | 1.46482i | ||||
\(454\) | 4.00000 | 0.187729 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 36.0000 | 1.68585 | ||||||||
\(457\) | −15.0000 | + | 25.9808i | −0.701670 | + | 1.21533i | 0.266209 | + | 0.963915i | \(0.414229\pi\) |
−0.967880 | + | 0.251414i | \(0.919105\pi\) | |||||||
\(458\) | −10.3923 | − | 6.00000i | −0.485601 | − | 0.280362i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −12.0000 | − | 6.00000i | −0.559503 | − | 0.279751i | ||||
\(461\) | 3.46410 | − | 2.00000i | 0.161339 | − | 0.0931493i | −0.417156 | − | 0.908835i | \(-0.636973\pi\) |
0.578496 | + | 0.815685i | \(0.303640\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 24.0000 | 1.11537 | 0.557687 | − | 0.830051i | \(-0.311689\pi\) | ||||
0.557687 | + | 0.830051i | \(0.311689\pi\) | |||||||
\(464\) | 3.00000 | + | 5.19615i | 0.139272 | + | 0.241225i | ||||
\(465\) | 14.7846 | + | 22.3923i | 0.685620 | + | 1.03842i | ||||
\(466\) | 20.7846 | + | 12.0000i | 0.962828 | + | 0.555889i | ||||
\(467\) | 18.0000i | 0.832941i | 0.909149 | + | 0.416470i | \(0.136733\pi\) | ||||
−0.909149 | + | 0.416470i | \(0.863267\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.85641 | + | 14.9282i | 0.454642 | + | 0.688587i | ||||
\(471\) | 12.0000 | − | 20.7846i | 0.552931 | − | 0.957704i | ||||
\(472\) | 5.19615 | − | 3.00000i | 0.239172 | − | 0.138086i | ||||
\(473\) | −12.0000 | −0.551761 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −27.5885 | − | 11.7846i | −1.26585 | − | 0.540715i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.3923 | − | 6.00000i | 0.475831 | − | 0.274721i | ||||
\(478\) | −8.66025 | − | 5.00000i | −0.396111 | − | 0.228695i | ||||
\(479\) | 19.0526 | + | 11.0000i | 0.870534 | + | 0.502603i | 0.867526 | − | 0.497393i | \(-0.165709\pi\) |
0.00300810 | + | 0.999995i | \(0.499042\pi\) | |||||||
\(480\) | 20.0000 | + | 10.0000i | 0.912871 | + | 0.456435i | ||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.50000 | − | 6.06218i | 0.159091 | − | 0.275554i | ||||
\(485\) | −13.3923 | + | 0.803848i | −0.608113 | + | 0.0365008i | ||||
\(486\) | − | 10.0000i | − | 0.453609i | ||||||
\(487\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(488\) | 9.00000 | + | 15.5885i | 0.407411 | + | 0.705656i | ||||
\(489\) | − | 24.0000i | − | 1.08532i | ||||||
\(490\) | 15.6244 | − | 0.937822i | 0.705836 | − | 0.0423665i | ||||
\(491\) | −6.00000 | + | 10.3923i | −0.270776 | + | 0.468998i | −0.969061 | − | 0.246822i | \(-0.920614\pi\) |
0.698285 | + | 0.715820i | \(0.253947\pi\) | |||||||
\(492\) | −8.00000 | + | 13.8564i | −0.360668 | + | 0.624695i | ||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 4.00000 | + | 2.00000i | 0.179787 | + | 0.0898933i | ||||
\(496\) | −5.19615 | − | 3.00000i | −0.233314 | − | 0.134704i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 6.92820 | − | 4.00000i | 0.310460 | − | 0.179244i | ||||
\(499\) | 6.00000i | 0.268597i | 0.990941 | + | 0.134298i | \(0.0428781\pi\) | ||||
−0.990941 | + | 0.134298i | \(0.957122\pi\) | |||||||
\(500\) | −7.23205 | − | 8.52628i | −0.323427 | − | 0.381307i | ||||
\(501\) | 27.7128 | − | 16.0000i | 1.23812 | − | 0.714827i | ||||
\(502\) | 12.0000 | 0.535586 | ||||||||
\(503\) | 5.19615 | − | 3.00000i | 0.231685 | − | 0.133763i | −0.379664 | − | 0.925124i | \(-0.623960\pi\) |
0.611349 | + | 0.791361i | \(0.290627\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.39230 | + | 11.1962i | 0.328953 | + | 0.498222i | ||||
\(506\) | 12.0000 | 0.533465 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.00000i | 0.0887357i | ||||||||
\(509\) | −17.3205 | − | 10.0000i | −0.767718 | − | 0.443242i | 0.0643419 | − | 0.997928i | \(-0.479505\pi\) |
−0.832060 | + | 0.554686i | \(0.812839\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −11.0000 | −0.486136 | ||||||||
\(513\) | 12.0000 | + | 20.7846i | 0.529813 | + | 0.917663i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 12.0000 | + | 6.00000i | 0.528783 | + | 0.264392i | ||||
\(516\) | 6.00000 | + | 10.3923i | 0.264135 | + | 0.457496i | ||||
\(517\) | 13.8564 | + | 8.00000i | 0.609404 | + | 0.351840i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −24.0000 | −1.05348 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −30.0000 | −1.31432 | −0.657162 | − | 0.753749i | \(-0.728243\pi\) | ||||
−0.657162 | + | 0.753749i | \(0.728243\pi\) | |||||||
\(522\) | 3.00000 | − | 5.19615i | 0.131306 | − | 0.227429i | ||||
\(523\) | −36.3731 | − | 21.0000i | −1.59048 | − | 0.918266i | −0.993224 | − | 0.116218i | \(-0.962923\pi\) |
−0.597259 | − | 0.802048i | \(-0.703744\pi\) | |||||||
\(524\) | −6.00000 | − | 10.3923i | −0.262111 | − | 0.453990i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.19615 | − | 3.00000i | 0.226563 | − | 0.130806i | ||||
\(527\) | 0 | 0 | ||||||||
\(528\) | −4.00000 | −0.174078 | ||||||||
\(529\) | 6.50000 | + | 11.2583i | 0.282609 | + | 0.489493i | ||||
\(530\) | 22.3923 | − | 14.7846i | 0.972660 | − | 0.642202i | ||||
\(531\) | −1.73205 | − | 1.00000i | −0.0751646 | − | 0.0433963i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −16.0000 | −0.692388 | ||||||||
\(535\) | 11.1962 | − | 7.39230i | 0.484052 | − | 0.319597i | ||||
\(536\) | −18.0000 | + | 31.1769i | −0.777482 | + | 1.34664i | ||||
\(537\) | −20.7846 | + | 12.0000i | −0.896922 | + | 0.517838i | ||||
\(538\) | −18.0000 | −0.776035 | ||||||||
\(539\) | 12.1244 | − | 7.00000i | 0.522233 | − | 0.301511i | ||||
\(540\) | 0.535898 | + | 8.92820i | 0.0230614 | + | 0.384209i | ||||
\(541\) | − | 12.0000i | − | 0.515920i | −0.966156 | − | 0.257960i | \(-0.916950\pi\) | ||
0.966156 | − | 0.257960i | \(-0.0830503\pi\) | |||||||
\(542\) | −5.19615 | + | 3.00000i | −0.223194 | + | 0.128861i | ||||
\(543\) | 3.46410 | + | 2.00000i | 0.148659 | + | 0.0858282i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −24.0000 | − | 12.0000i | −1.02805 | − | 0.514024i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.0000i | 0.769624i | 0.922995 | + | 0.384812i | \(0.125734\pi\) | ||||
−0.922995 | + | 0.384812i | \(0.874266\pi\) | |||||||
\(548\) | −1.00000 | + | 1.73205i | −0.0427179 | + | 0.0739895i | ||||
\(549\) | 3.00000 | − | 5.19615i | 0.128037 | − | 0.221766i | ||||
\(550\) | 9.19615 | + | 3.92820i | 0.392125 | + | 0.167499i | ||||
\(551\) | 36.0000i | 1.53365i | ||||||||
\(552\) | −18.0000 | − | 31.1769i | −0.766131 | − | 1.32698i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | − | 12.0000i | − | 0.509831i | ||||||
\(555\) | 1.60770 | + | 26.7846i | 0.0682429 | + | 1.13694i | ||||
\(556\) | −2.00000 | + | 3.46410i | −0.0848189 | + | 0.146911i | ||||
\(557\) | 7.00000 | − | 12.1244i | 0.296600 | − | 0.513725i | −0.678756 | − | 0.734364i | \(-0.737481\pi\) |
0.975356 | + | 0.220638i | \(0.0708140\pi\) | |||||||
\(558\) | 6.00000i | 0.254000i | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.92820 | + | 4.00000i | 0.292249 | + | 0.168730i | ||||
\(563\) | −25.9808 | + | 15.0000i | −1.09496 | + | 0.632175i | −0.934892 | − | 0.354932i | \(-0.884504\pi\) |
−0.160066 | + | 0.987106i | \(0.551171\pi\) | |||||||
\(564\) | − | 16.0000i | − | 0.673722i | ||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −19.0526 | + | 11.0000i | −0.800839 | + | 0.462364i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.19615 | + | 3.00000i | −0.218026 | + | 0.125877i | ||||
\(569\) | −9.00000 | + | 15.5885i | −0.377300 | + | 0.653502i | −0.990668 | − | 0.136295i | \(-0.956481\pi\) |
0.613369 | + | 0.789797i | \(0.289814\pi\) | |||||||
\(570\) | −14.7846 | − | 22.3923i | −0.619259 | − | 0.937910i | ||||
\(571\) | 12.0000 | 0.502184 | 0.251092 | − | 0.967963i | \(-0.419210\pi\) | ||||
0.251092 | + | 0.967963i | \(0.419210\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3.58846 | + | 29.7846i | 0.149649 | + | 1.24210i | ||||
\(576\) | 3.50000 | + | 6.06218i | 0.145833 | + | 0.252591i | ||||
\(577\) | −18.0000 | −0.749350 | −0.374675 | − | 0.927156i | \(-0.622246\pi\) | ||||
−0.374675 | + | 0.927156i | \(0.622246\pi\) | |||||||
\(578\) | −8.50000 | − | 14.7224i | −0.353553 | − | 0.612372i | ||||
\(579\) | 10.3923 | − | 6.00000i | 0.431889 | − | 0.249351i | ||||
\(580\) | −6.00000 | + | 12.0000i | −0.249136 | + | 0.498273i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −10.3923 | − | 6.00000i | −0.430775 | − | 0.248708i | ||||
\(583\) | 12.0000 | − | 20.7846i | 0.496989 | − | 0.860811i | ||||
\(584\) | −18.0000 | −0.744845 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 26.0000 | 1.07405 | ||||||||
\(587\) | 10.0000 | − | 17.3205i | 0.412744 | − | 0.714894i | −0.582445 | − | 0.812870i | \(-0.697904\pi\) |
0.995189 | + | 0.0979766i | \(0.0312370\pi\) | |||||||
\(588\) | −12.1244 | − | 7.00000i | −0.500000 | − | 0.288675i | ||||
\(589\) | −18.0000 | − | 31.1769i | −0.741677 | − | 1.28462i | ||||
\(590\) | −4.00000 | − | 2.00000i | −0.164677 | − | 0.0823387i | ||||
\(591\) | 3.46410 | − | 2.00000i | 0.142494 | − | 0.0822690i | ||||
\(592\) | −3.00000 | − | 5.19615i | −0.123299 | − | 0.213561i | ||||
\(593\) | 22.0000 | 0.903432 | 0.451716 | − | 0.892162i | \(-0.350812\pi\) | ||||
0.451716 | + | 0.892162i | \(0.350812\pi\) | |||||||
\(594\) | −4.00000 | − | 6.92820i | −0.164122 | − | 0.284268i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −17.3205 | − | 10.0000i | −0.709476 | − | 0.409616i | ||||
\(597\) | − | 48.0000i | − | 1.96451i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 24.0000 | 0.980613 | 0.490307 | − | 0.871550i | \(-0.336885\pi\) | ||||
0.490307 | + | 0.871550i | \(0.336885\pi\) | |||||||
\(600\) | −3.58846 | − | 29.7846i | −0.146498 | − | 1.21595i | ||||
\(601\) | 3.00000 | − | 5.19615i | 0.122373 | − | 0.211955i | −0.798330 | − | 0.602220i | \(-0.794283\pi\) |
0.920703 | + | 0.390264i | \(0.127616\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 12.0000 | 0.488678 | ||||||||
\(604\) | −15.5885 | + | 9.00000i | −0.634285 | + | 0.366205i | ||||
\(605\) | −15.6244 | + | 0.937822i | −0.635220 | + | 0.0381279i | ||||
\(606\) | 12.0000i | 0.487467i | ||||||||
\(607\) | −15.5885 | + | 9.00000i | −0.632716 | + | 0.365299i | −0.781803 | − | 0.623525i | \(-0.785700\pi\) |
0.149087 | + | 0.988824i | \(0.452366\pi\) | |||||||
\(608\) | −25.9808 | − | 15.0000i | −1.05366 | − | 0.608330i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.00000 | − | 12.0000i | 0.242933 | − | 0.485866i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.0000 | − | 25.9808i | 0.605844 | − | 1.04935i | −0.386073 | − | 0.922468i | \(-0.626169\pi\) |
0.991917 | − | 0.126885i | \(-0.0404979\pi\) | |||||||
\(614\) | 6.00000 | − | 10.3923i | 0.242140 | − | 0.419399i | ||||
\(615\) | 35.7128 | − | 2.14359i | 1.44008 | − | 0.0864380i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 17.0000 | + | 29.4449i | 0.684394 | + | 1.18541i | 0.973627 | + | 0.228147i | \(0.0732666\pi\) |
−0.289233 | + | 0.957259i | \(0.593400\pi\) | |||||||
\(618\) | 6.00000 | + | 10.3923i | 0.241355 | + | 0.418040i | ||||
\(619\) | − | 18.0000i | − | 0.723481i | −0.932279 | − | 0.361741i | \(-0.882183\pi\) | ||
0.932279 | − | 0.361741i | \(-0.117817\pi\) | |||||||
\(620\) | −0.803848 | − | 13.3923i | −0.0322833 | − | 0.537848i | ||||
\(621\) | 12.0000 | − | 20.7846i | 0.481543 | − | 0.834058i | ||||
\(622\) | −12.0000 | + | 20.7846i | −0.481156 | + | 0.833387i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.00000 | + | 24.0000i | −0.280000 | + | 0.960000i | ||||
\(626\) | −6.92820 | − | 4.00000i | −0.276907 | − | 0.159872i | ||||
\(627\) | −20.7846 | − | 12.0000i | −0.830057 | − | 0.479234i | ||||
\(628\) | −10.3923 | + | 6.00000i | −0.414698 | + | 0.239426i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.9808 | + | 15.0000i | −1.03428 | + | 0.597141i | −0.918207 | − | 0.396100i | \(-0.870363\pi\) |
−0.116071 | + | 0.993241i | \(0.537030\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −20.7846 | + | 12.0000i | −0.826114 | + | 0.476957i | ||||
\(634\) | −1.00000 | + | 1.73205i | −0.0397151 | + | 0.0687885i | ||||
\(635\) | 3.73205 | − | 2.46410i | 0.148102 | − | 0.0977849i | ||||
\(636\) | −24.0000 | −0.951662 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 12.0000i | − | 0.475085i | ||||||
\(639\) | 1.73205 | + | 1.00000i | 0.0685189 | + | 0.0395594i | ||||
\(640\) | −3.69615 | − | 5.59808i | −0.146103 | − | 0.221283i | ||||
\(641\) | 15.0000 | + | 25.9808i | 0.592464 | + | 1.02618i | 0.993899 | + | 0.110291i | \(0.0351782\pi\) |
−0.401435 | + | 0.915888i | \(0.631488\pi\) | |||||||
\(642\) | 12.0000 | 0.473602 | ||||||||
\(643\) | −18.0000 | − | 31.1769i | −0.709851 | − | 1.22950i | −0.964912 | − | 0.262573i | \(-0.915429\pi\) |
0.255062 | − | 0.966925i | \(-0.417904\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 12.0000 | − | 24.0000i | 0.472500 | − | 0.944999i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −5.19615 | − | 3.00000i | −0.204282 | − | 0.117942i | 0.394369 | − | 0.918952i | \(-0.370963\pi\) |
−0.598651 | + | 0.801010i | \(0.704296\pi\) | |||||||
\(648\) | −16.5000 | + | 28.5788i | −0.648181 | + | 1.12268i | ||||
\(649\) | −4.00000 | −0.157014 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.00000 | + | 10.3923i | −0.234978 | + | 0.406994i | ||||
\(653\) | 31.1769 | + | 18.0000i | 1.22005 | + | 0.704394i | 0.964928 | − | 0.262515i | \(-0.0845520\pi\) |
0.255119 | + | 0.966910i | \(0.417885\pi\) | |||||||
\(654\) | −12.0000 | − | 20.7846i | −0.469237 | − | 0.812743i | ||||
\(655\) | −12.0000 | + | 24.0000i | −0.468879 | + | 0.937758i | ||||
\(656\) | −6.92820 | + | 4.00000i | −0.270501 | + | 0.156174i | ||||
\(657\) | 3.00000 | + | 5.19615i | 0.117041 | + | 0.202721i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −18.0000 | − | 31.1769i | −0.701180 | − | 1.21448i | −0.968052 | − | 0.250748i | \(-0.919323\pi\) |
0.266872 | − | 0.963732i | \(-0.414010\pi\) | |||||||
\(660\) | −4.92820 | − | 7.46410i | −0.191830 | − | 0.290540i | ||||
\(661\) | −10.3923 | − | 6.00000i | −0.404214 | − | 0.233373i | 0.284087 | − | 0.958799i | \(-0.408310\pi\) |
−0.688301 | + | 0.725426i | \(0.741643\pi\) | |||||||
\(662\) | 30.0000i | 1.16598i | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.0000 | −0.465690 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.00000 | + | 5.19615i | −0.116248 | + | 0.201347i | ||||
\(667\) | 31.1769 | − | 18.0000i | 1.20717 | − | 0.696963i | ||||
\(668\) | −16.0000 | −0.619059 | ||||||||
\(669\) | −41.5692 | + | 24.0000i | −1.60716 | + | 0.927894i | ||||
\(670\) | 26.7846 | − | 1.60770i | 1.03478 | − | 0.0621107i | ||||
\(671\) | − | 12.0000i | − | 0.463255i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −41.5692 | − | 24.0000i | −1.60238 | − | 0.925132i | −0.991011 | − | 0.133783i | \(-0.957287\pi\) |
−0.611365 | − | 0.791349i | \(-0.709379\pi\) | |||||||
\(674\) | −27.7128 | − | 16.0000i | −1.06746 | − | 0.616297i | ||||
\(675\) | 16.0000 | − | 12.0000i | 0.615840 | − | 0.461880i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 36.0000i | 1.38359i | 0.722093 | + | 0.691796i | \(0.243180\pi\) | ||||
−0.722093 | + | 0.691796i | \(0.756820\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 8.00000i | 0.306561i | ||||||||
\(682\) | 6.00000 | + | 10.3923i | 0.229752 | + | 0.397942i | ||||
\(683\) | −22.0000 | − | 38.1051i | −0.841807 | − | 1.45805i | −0.888366 | − | 0.459136i | \(-0.848159\pi\) |
0.0465592 | − | 0.998916i | \(-0.485174\pi\) | |||||||
\(684\) | 6.00000i | 0.229416i | ||||||||
\(685\) | 4.46410 | − | 0.267949i | 0.170565 | − | 0.0102378i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 12.0000 | − | 20.7846i | 0.457829 | − | 0.792982i | ||||
\(688\) | 6.00000i | 0.228748i | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | −12.0000 | + | 24.0000i | −0.456832 | + | 0.913664i | ||||
\(691\) | 36.3731 | + | 21.0000i | 1.38370 | + | 0.798878i | 0.992595 | − | 0.121470i | \(-0.0387608\pi\) |
0.391102 | + | 0.920348i | \(0.372094\pi\) | |||||||
\(692\) | 10.3923 | + | 6.00000i | 0.395056 | + | 0.228086i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 6.00000i | − | 0.227757i | ||||||
\(695\) | 8.92820 | − | 0.535898i | 0.338666 | − | 0.0203278i | ||||
\(696\) | −31.1769 | + | 18.0000i | −1.18176 | + | 0.682288i | ||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −10.3923 | + | 6.00000i | −0.393355 | + | 0.227103i | ||||
\(699\) | −24.0000 | + | 41.5692i | −0.907763 | + | 1.57229i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 30.0000 | 1.13308 | 0.566542 | − | 0.824033i | \(-0.308281\pi\) | ||||
0.566542 | + | 0.824033i | \(0.308281\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 36.0000i | − | 1.35777i | ||||||
\(704\) | 12.1244 | + | 7.00000i | 0.456954 | + | 0.263822i | ||||
\(705\) | −29.8564 | + | 19.7128i | −1.12446 | + | 0.742427i | ||||
\(706\) | −7.00000 | − | 12.1244i | −0.263448 | − | 0.456306i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 2.00000 | + | 3.46410i | 0.0751646 | + | 0.130189i | ||||
\(709\) | 10.3923 | − | 6.00000i | 0.390291 | − | 0.225335i | −0.291995 | − | 0.956420i | \(-0.594319\pi\) |
0.682286 | + | 0.731085i | \(0.260986\pi\) | |||||||
\(710\) | 4.00000 | + | 2.00000i | 0.150117 | + | 0.0750587i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 20.7846 | + | 12.0000i | 0.778936 | + | 0.449719i | ||||
\(713\) | −18.0000 | + | 31.1769i | −0.674105 | + | 1.16758i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 12.0000 | 0.448461 | ||||||||
\(717\) | 10.0000 | − | 17.3205i | 0.373457 | − | 0.646846i | ||||
\(718\) | −1.73205 | − | 1.00000i | −0.0646396 | − | 0.0373197i | ||||
\(719\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(720\) | 1.00000 | − | 2.00000i | 0.0372678 | − | 0.0745356i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 8.50000 | + | 14.7224i | 0.316337 | + | 0.547912i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.00000 | − | 1.73205i | −0.0371647 | − | 0.0643712i | ||||
\(725\) | 29.7846 | − | 3.58846i | 1.10617 | − | 0.133272i | ||||
\(726\) | −12.1244 | − | 7.00000i | −0.449977 | − | 0.259794i | ||||
\(727\) | − | 26.0000i | − | 0.964287i | −0.876092 | − | 0.482143i | \(-0.839858\pi\) | ||
0.876092 | − | 0.482143i | \(-0.160142\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −13.0000 | −0.481481 | ||||||||
\(730\) | 7.39230 | + | 11.1962i | 0.273601 | + | 0.414388i | ||||
\(731\) | 0 | 0 | ||||||||
\(732\) | −10.3923 | + | 6.00000i | −0.384111 | + | 0.221766i | ||||
\(733\) | 42.0000 | 1.55131 | 0.775653 | − | 0.631160i | \(-0.217421\pi\) | ||||
0.775653 | + | 0.631160i | \(0.217421\pi\) | |||||||
\(734\) | −15.5885 | + | 9.00000i | −0.575380 | + | 0.332196i | ||||
\(735\) | 1.87564 | + | 31.2487i | 0.0691842 | + | 1.15263i | ||||
\(736\) | 30.0000i | 1.10581i | ||||||||
\(737\) | 20.7846 | − | 12.0000i | 0.765611 | − | 0.442026i | ||||
\(738\) | 6.92820 | + | 4.00000i | 0.255031 | + | 0.147242i | ||||
\(739\) | −5.19615 | − | 3.00000i | −0.191144 | − | 0.110357i | 0.401374 | − | 0.915914i | \(-0.368533\pi\) |
−0.592518 | + | 0.805557i | \(0.701866\pi\) | |||||||
\(740\) | 6.00000 | − | 12.0000i | 0.220564 | − | 0.441129i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −8.00000 | + | 13.8564i | −0.293492 | + | 0.508342i | −0.974633 | − | 0.223810i | \(-0.928151\pi\) |
0.681141 | + | 0.732152i | \(0.261484\pi\) | |||||||
\(744\) | 18.0000 | − | 31.1769i | 0.659912 | − | 1.14300i | ||||
\(745\) | 2.67949 | + | 44.6410i | 0.0981690 | + | 1.63552i | ||||
\(746\) | 4.00000i | 0.146450i | ||||||||
\(747\) | 2.00000 | + | 3.46410i | 0.0731762 | + | 0.126745i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −17.0526 | + | 14.4641i | −0.622671 | + | 0.528154i | ||||
\(751\) | 16.0000 | − | 27.7128i | 0.583848 | − | 1.01125i | −0.411170 | − | 0.911559i | \(-0.634880\pi\) |
0.995018 | − | 0.0996961i | \(-0.0317870\pi\) | |||||||
\(752\) | 4.00000 | − | 6.92820i | 0.145865 | − | 0.252646i | ||||
\(753\) | 24.0000i | 0.874609i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 36.0000 | + | 18.0000i | 1.31017 | + | 0.655087i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −17.3205 | − | 10.0000i | −0.629525 | − | 0.363456i | 0.151043 | − | 0.988527i | \(-0.451737\pi\) |
−0.780568 | + | 0.625071i | \(0.785070\pi\) | |||||||
\(758\) | −15.5885 | + | 9.00000i | −0.566198 | + | 0.326895i | ||||
\(759\) | 24.0000i | 0.871145i | ||||||||
\(760\) | 2.41154 | + | 40.1769i | 0.0874758 | + | 1.45737i | ||||
\(761\) | 34.6410 | − | 20.0000i | 1.25574 | − | 0.724999i | 0.283493 | − | 0.958974i | \(-0.408507\pi\) |
0.972243 | + | 0.233975i | \(0.0751733\pi\) | |||||||
\(762\) | 4.00000 | 0.144905 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −8.00000 | −0.289052 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | − | 34.0000i | − | 1.22687i | ||||||
\(769\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −6.00000 | −0.215945 | ||||||||
\(773\) | 19.0000 | + | 32.9090i | 0.683383 | + | 1.18365i | 0.973942 | + | 0.226796i | \(0.0728252\pi\) |
−0.290560 | + | 0.956857i | \(0.593841\pi\) | |||||||
\(774\) | 5.19615 | − | 3.00000i | 0.186772 | − | 0.107833i | ||||
\(775\) | −24.0000 | + | 18.0000i | −0.862105 | + | 0.646579i | ||||
\(776\) | 9.00000 | + | 15.5885i | 0.323081 | + | 0.559593i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3.00000 | + | 5.19615i | −0.107555 | + | 0.186291i | ||||
\(779\) | −48.0000 | −1.71978 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.00000 | 0.143131 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −20.7846 | − | 12.0000i | −0.742781 | − | 0.428845i | ||||
\(784\) | −3.50000 |