Newspace parameters
Level: | \( N \) | \(=\) | \( 2646 = 2 \cdot 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2646.m (of order \(6\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(21.1284163748\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
Defining polynomial: |
\( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + 2785 x^{8} - 2640 x^{7} - 2601 x^{6} + 10260 x^{5} - 10611 x^{4} - 1944 x^{3} + \cdots + 6561 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 1763.8 | ||
Root | \(1.73109 + 0.0577511i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 2646.1763 |
Dual form | 2646.2.m.a.881.8 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/2646\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 1.14095 | + | 1.97618i | 0.510248 | + | 0.883776i | 0.999929 | + | 0.0118746i | \(0.00377989\pi\) |
−0.489681 | + | 0.871902i | \(0.662887\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.28190i | 0.721600i | ||||||||
\(11\) | −0.946590 | − | 0.546514i | −0.285408 | − | 0.164780i | 0.350461 | − | 0.936577i | \(-0.386025\pi\) |
−0.635869 | + | 0.771797i | \(0.719358\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.91448 | + | 3.41473i | −1.64038 | + | 0.947075i | −0.659685 | + | 0.751542i | \(0.729310\pi\) |
−0.980697 | + | 0.195533i | \(0.937356\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 6.71727 | 1.62918 | 0.814588 | − | 0.580040i | \(-0.196963\pi\) | ||||
0.814588 | + | 0.580040i | \(0.196963\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.86351i | 0.656934i | 0.944515 | + | 0.328467i | \(0.106532\pi\) | ||||
−0.944515 | + | 0.328467i | \(0.893468\pi\) | |||||||
\(20\) | −1.14095 | + | 1.97618i | −0.255124 | + | 0.441888i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.546514 | − | 0.946590i | −0.116517 | − | 0.201814i | ||||
\(23\) | −3.38264 | + | 1.95297i | −0.705328 | + | 0.407221i | −0.809329 | − | 0.587356i | \(-0.800169\pi\) |
0.104001 | + | 0.994577i | \(0.466836\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.103535 | + | 0.179327i | −0.0207069 | + | 0.0358655i | ||||
\(26\) | −6.82946 | −1.33937 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.59933 | − | 0.923371i | −0.296987 | − | 0.171466i | 0.344101 | − | 0.938933i | \(-0.388184\pi\) |
−0.641089 | + | 0.767467i | \(0.721517\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.75081 | − | 1.01083i | 0.314455 | − | 0.181551i | −0.334463 | − | 0.942409i | \(-0.608555\pi\) |
0.648918 | + | 0.760858i | \(0.275222\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.81732 | + | 3.35863i | 0.997663 | + | 0.576001i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.15840 | −1.17683 | −0.588416 | − | 0.808558i | \(-0.700248\pi\) | ||||
−0.588416 | + | 0.808558i | \(0.700248\pi\) | |||||||
\(38\) | −1.43175 | + | 2.47987i | −0.232261 | + | 0.402288i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.97618 | + | 1.14095i | −0.312462 | + | 0.180400i | ||||
\(41\) | 2.45515 | + | 4.25245i | 0.383431 | + | 0.664121i | 0.991550 | − | 0.129724i | \(-0.0414092\pi\) |
−0.608120 | + | 0.793845i | \(0.708076\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.74246 | + | 6.48214i | −0.570721 | + | 0.988517i | 0.425772 | + | 0.904831i | \(0.360003\pi\) |
−0.996492 | + | 0.0836863i | \(0.973331\pi\) | |||||||
\(44\) | − | 1.09303i | − | 0.164780i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.90593 | −0.575898 | ||||||||
\(47\) | −3.40174 | + | 5.89199i | −0.496195 | + | 0.859435i | −0.999990 | − | 0.00438774i | \(-0.998603\pi\) |
0.503795 | + | 0.863823i | \(0.331937\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −0.179327 | + | 0.103535i | −0.0253607 | + | 0.0146420i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.91448 | − | 3.41473i | −0.820191 | − | 0.473538i | ||||
\(53\) | 0.256424i | 0.0352225i | 0.999845 | + | 0.0176112i | \(0.00560612\pi\) | ||||
−0.999845 | + | 0.0176112i | \(0.994394\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 2.49418i | − | 0.336315i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.923371 | − | 1.59933i | −0.121245 | − | 0.210002i | ||||
\(59\) | −0.971009 | − | 1.68184i | −0.126415 | − | 0.218957i | 0.795870 | − | 0.605467i | \(-0.207014\pi\) |
−0.922285 | + | 0.386510i | \(0.873680\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.15315 | − | 0.665771i | −0.147646 | − | 0.0852432i | 0.424357 | − | 0.905495i | \(-0.360500\pi\) |
−0.572003 | + | 0.820252i | \(0.693833\pi\) | |||||||
\(62\) | 2.02166 | 0.256752 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −13.4963 | − | 7.79207i | −1.67400 | − | 0.966487i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.54959 | − | 4.41602i | −0.311482 | − | 0.539503i | 0.667201 | − | 0.744877i | \(-0.267492\pi\) |
−0.978683 | + | 0.205375i | \(0.934159\pi\) | |||||||
\(68\) | 3.35863 | + | 5.81732i | 0.407294 | + | 0.705454i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 0.233507i | − | 0.0277121i | −0.999904 | − | 0.0138561i | \(-0.995589\pi\) | ||
0.999904 | − | 0.0138561i | \(-0.00441066\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.80432i | 0.796386i | 0.917302 | + | 0.398193i | \(0.130362\pi\) | ||||
−0.917302 | + | 0.398193i | \(0.869638\pi\) | |||||||
\(74\) | −6.19935 | − | 3.57920i | −0.720660 | − | 0.416073i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.47987 | + | 1.43175i | −0.284461 | + | 0.164233i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.63624 | − | 6.29816i | 0.409109 | − | 0.708598i | −0.585681 | − | 0.810542i | \(-0.699173\pi\) |
0.994790 | + | 0.101944i | \(0.0325062\pi\) | |||||||
\(80\) | −2.28190 | −0.255124 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.91031i | 0.542253i | ||||||||
\(83\) | −2.91353 | + | 5.04638i | −0.319801 | + | 0.553912i | −0.980446 | − | 0.196786i | \(-0.936950\pi\) |
0.660645 | + | 0.750698i | \(0.270283\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.66407 | + | 13.2746i | 0.831285 | + | 1.43983i | ||||
\(86\) | −6.48214 | + | 3.74246i | −0.698987 | + | 0.403560i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.546514 | − | 0.946590i | 0.0582586 | − | 0.100907i | ||||
\(89\) | 17.9941 | 1.90737 | 0.953687 | − | 0.300800i | \(-0.0972535\pi\) | ||||
0.953687 | + | 0.300800i | \(0.0972535\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −3.38264 | − | 1.95297i | −0.352664 | − | 0.203611i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −5.89199 | + | 3.40174i | −0.607713 | + | 0.350863i | ||||
\(95\) | −5.65882 | + | 3.26712i | −0.580583 | + | 0.335200i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.13903 | + | 2.38967i | 0.420255 | + | 0.242634i | 0.695186 | − | 0.718830i | \(-0.255322\pi\) |
−0.274931 | + | 0.961464i | \(0.588655\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.207069 | −0.0207069 | ||||||||
\(101\) | −5.22981 | + | 9.05829i | −0.520385 | + | 0.901334i | 0.479334 | + | 0.877633i | \(0.340878\pi\) |
−0.999719 | + | 0.0237012i | \(0.992455\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.0398 | + | 6.37383i | −1.08778 | + | 0.628033i | −0.932986 | − | 0.359914i | \(-0.882806\pi\) |
−0.154799 | + | 0.987946i | \(0.549473\pi\) | |||||||
\(104\) | −3.41473 | − | 5.91448i | −0.334842 | − | 0.579963i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.128212 | + | 0.222069i | −0.0124530 | + | 0.0215693i | ||||
\(107\) | − | 9.53627i | − | 0.921906i | −0.887425 | − | 0.460953i | \(-0.847508\pi\) | ||
0.887425 | − | 0.460953i | \(-0.152492\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.76503 | 0.552189 | 0.276095 | − | 0.961130i | \(-0.410960\pi\) | ||||
0.276095 | + | 0.961130i | \(0.410960\pi\) | |||||||
\(110\) | 1.24709 | − | 2.16002i | 0.118905 | − | 0.205950i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 10.3333 | − | 5.96592i | 0.972073 | − | 0.561227i | 0.0722053 | − | 0.997390i | \(-0.476996\pi\) |
0.899868 | + | 0.436163i | \(0.143663\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.71884 | − | 4.45647i | −0.719785 | − | 0.415568i | ||||
\(116\) | − | 1.84674i | − | 0.171466i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 1.94202i | − | 0.178777i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.90265 | − | 8.49163i | −0.445695 | − | 0.771966i | ||||
\(122\) | −0.665771 | − | 1.15315i | −0.0602760 | − | 0.104401i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.75081 | + | 1.01083i | 0.157228 | + | 0.0907754i | ||||
\(125\) | 10.9370 | 0.978234 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.9133 | −0.968400 | −0.484200 | − | 0.874957i | \(-0.660889\pi\) | ||||
−0.484200 | + | 0.874957i | \(0.660889\pi\) | |||||||
\(128\) | −0.866025 | − | 0.500000i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −7.79207 | − | 13.4963i | −0.683410 | − | 1.18370i | ||||
\(131\) | 0.989677 | + | 1.71417i | 0.0864684 | + | 0.149768i | 0.906016 | − | 0.423243i | \(-0.139108\pi\) |
−0.819548 | + | 0.573011i | \(0.805775\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 5.09918i | − | 0.440502i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 6.71727i | 0.576001i | ||||||||
\(137\) | 2.86923 | + | 1.65655i | 0.245135 | + | 0.141528i | 0.617534 | − | 0.786544i | \(-0.288132\pi\) |
−0.372400 | + | 0.928072i | \(0.621465\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.00698 | − | 1.73608i | 0.255048 | − | 0.147252i | −0.367025 | − | 0.930211i | \(-0.619624\pi\) |
0.622074 | + | 0.782959i | \(0.286290\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.116753 | − | 0.202223i | 0.00979772 | − | 0.0169701i | ||||
\(143\) | 7.46479 | 0.624237 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 4.21408i | − | 0.349961i | ||||||
\(146\) | −3.40216 | + | 5.89272i | −0.281565 | + | 0.487685i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.57920 | − | 6.19935i | −0.294208 | − | 0.509584i | ||||
\(149\) | −11.5534 | + | 6.67036i | −0.946492 | + | 0.546457i | −0.891989 | − | 0.452056i | \(-0.850691\pi\) |
−0.0545027 | + | 0.998514i | \(0.517357\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.66995 | − | 4.62450i | 0.217278 | − | 0.376336i | −0.736697 | − | 0.676223i | \(-0.763616\pi\) |
0.953975 | + | 0.299887i | \(0.0969489\pi\) | |||||||
\(152\) | −2.86351 | −0.232261 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.99518 | + | 2.30662i | 0.320901 | + | 0.185272i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 15.3003 | − | 8.83364i | 1.22110 | − | 0.705002i | 0.255946 | − | 0.966691i | \(-0.417613\pi\) |
0.965152 | + | 0.261689i | \(0.0842796\pi\) | |||||||
\(158\) | 6.29816 | − | 3.63624i | 0.501054 | − | 0.289284i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.97618 | − | 1.14095i | −0.156231 | − | 0.0902000i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −15.8983 | −1.24525 | −0.622625 | − | 0.782520i | \(-0.713934\pi\) | ||||
−0.622625 | + | 0.782520i | \(0.713934\pi\) | |||||||
\(164\) | −2.45515 | + | 4.25245i | −0.191715 | + | 0.332061i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.04638 | + | 2.91353i | −0.391675 | + | 0.226134i | ||||
\(167\) | 2.85878 | + | 4.95155i | 0.221219 | + | 0.383163i | 0.955178 | − | 0.296031i | \(-0.0956631\pi\) |
−0.733959 | + | 0.679193i | \(0.762330\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 16.8207 | − | 29.1344i | 1.29390 | − | 2.24110i | ||||
\(170\) | 15.3281i | 1.17561i | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.48493 | −0.570721 | ||||||||
\(173\) | −7.60258 | + | 13.1681i | −0.578013 | + | 1.00115i | 0.417694 | + | 0.908588i | \(0.362839\pi\) |
−0.995707 | + | 0.0925606i | \(0.970495\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.946590 | − | 0.546514i | 0.0713519 | − | 0.0411950i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 15.5834 | + | 8.99707i | 1.16802 | + | 0.674359i | ||||
\(179\) | 4.05972i | 0.303438i | 0.988424 | + | 0.151719i | \(0.0484809\pi\) | ||||
−0.988424 | + | 0.151719i | \(0.951519\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 3.68452i | − | 0.273869i | −0.990580 | − | 0.136934i | \(-0.956275\pi\) | ||
0.990580 | − | 0.136934i | \(-0.0437249\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.95297 | − | 3.38264i | −0.143975 | − | 0.249371i | ||||
\(185\) | −8.16737 | − | 14.1463i | −0.600477 | − | 1.04006i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.35850 | − | 3.67108i | −0.464979 | − | 0.268456i | ||||
\(188\) | −6.80349 | −0.496195 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −6.53424 | −0.474044 | ||||||||
\(191\) | 22.3425 | + | 12.8994i | 1.61664 | + | 0.933370i | 0.987780 | + | 0.155854i | \(0.0498130\pi\) |
0.628864 | + | 0.777516i | \(0.283520\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.64331 | + | 8.04245i | 0.334233 | + | 0.578908i | 0.983337 | − | 0.181791i | \(-0.0581894\pi\) |
−0.649104 | + | 0.760699i | \(0.724856\pi\) | |||||||
\(194\) | 2.38967 | + | 4.13903i | 0.171568 | + | 0.297165i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.86237i | 0.417677i | 0.977950 | + | 0.208838i | \(0.0669683\pi\) | ||||
−0.977950 | + | 0.208838i | \(0.933032\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 16.0638i | − | 1.13873i | −0.822083 | − | 0.569367i | \(-0.807188\pi\) | ||
0.822083 | − | 0.569367i | \(-0.192812\pi\) | |||||||
\(200\) | −0.179327 | − | 0.103535i | −0.0126804 | − | 0.00732101i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.05829 | + | 5.22981i | −0.637339 | + | 0.367968i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.60242 | + | 9.70367i | −0.391290 | + | 0.677734i | ||||
\(206\) | −12.7477 | −0.888172 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 6.82946i | − | 0.473538i | ||||||
\(209\) | 1.56495 | − | 2.71057i | 0.108250 | − | 0.187494i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.3741 | + | 21.4325i | 0.851867 | + | 1.47548i | 0.879522 | + | 0.475859i | \(0.157863\pi\) |
−0.0276550 | + | 0.999618i | \(0.508804\pi\) | |||||||
\(212\) | −0.222069 | + | 0.128212i | −0.0152518 | + | 0.00880562i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 4.76813 | − | 8.25865i | 0.325943 | − | 0.564550i | ||||
\(215\) | −17.0799 | −1.16484 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 4.99266 | + | 2.88251i | 0.338146 | + | 0.195228i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.16002 | − | 1.24709i | 0.145629 | − | 0.0840788i | ||||
\(221\) | −39.7291 | + | 22.9376i | −2.67247 | + | 1.54295i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.20041 | − | 1.84776i | −0.214315 | − | 0.123735i | 0.389000 | − | 0.921238i | \(-0.372821\pi\) |
−0.603315 | + | 0.797503i | \(0.706154\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 11.9318 | 0.793694 | ||||||||
\(227\) | 2.30549 | − | 3.99322i | 0.153020 | − | 0.265039i | −0.779316 | − | 0.626631i | \(-0.784433\pi\) |
0.932336 | + | 0.361592i | \(0.117767\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.8220 | + | 7.98016i | −0.913386 | + | 0.527344i | −0.881519 | − | 0.472148i | \(-0.843479\pi\) |
−0.0318672 | + | 0.999492i | \(0.510145\pi\) | |||||||
\(230\) | −4.45647 | − | 7.71884i | −0.293851 | − | 0.508965i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.923371 | − | 1.59933i | 0.0606223 | − | 0.105001i | ||||
\(233\) | 7.13153i | 0.467202i | 0.972333 | + | 0.233601i | \(0.0750510\pi\) | ||||
−0.972333 | + | 0.233601i | \(0.924949\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −15.5249 | −1.01273 | ||||||||
\(236\) | 0.971009 | − | 1.68184i | 0.0632073 | − | 0.109478i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −13.6219 | + | 7.86462i | −0.881129 | + | 0.508720i | −0.871031 | − | 0.491229i | \(-0.836548\pi\) |
−0.0100987 | + | 0.999949i | \(0.503215\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.39292 | + | 0.804201i | 0.0897257 | + | 0.0518031i | 0.544191 | − | 0.838961i | \(-0.316837\pi\) |
−0.454466 | + | 0.890764i | \(0.650170\pi\) | |||||||
\(242\) | − | 9.80529i | − | 0.630308i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 1.33154i | − | 0.0852432i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.77810 | − | 16.9362i | −0.622166 | − | 1.07762i | ||||
\(248\) | 1.01083 | + | 1.75081i | 0.0641879 | + | 0.111177i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.47171 | + | 5.46850i | 0.599044 | + | 0.345858i | ||||
\(251\) | −18.3728 | −1.15968 | −0.579841 | − | 0.814729i | \(-0.696885\pi\) | ||||
−0.579841 | + | 0.814729i | \(0.696885\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.26929 | 0.268408 | ||||||||
\(254\) | −9.45121 | − | 5.45666i | −0.593021 | − | 0.342381i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 8.73678 | + | 15.1326i | 0.544986 | + | 0.943943i | 0.998608 | + | 0.0527487i | \(0.0167982\pi\) |
−0.453622 | + | 0.891194i | \(0.649868\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | − | 15.5841i | − | 0.966487i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.97935i | 0.122285i | ||||||||
\(263\) | 23.9148 | + | 13.8072i | 1.47465 | + | 0.851389i | 0.999592 | − | 0.0285666i | \(-0.00909427\pi\) |
0.475057 | + | 0.879955i | \(0.342428\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.506740 | + | 0.292567i | −0.0311288 | + | 0.0179722i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.54959 | − | 4.41602i | 0.155741 | − | 0.269751i | ||||
\(269\) | 6.77214 | 0.412904 | 0.206452 | − | 0.978457i | \(-0.433808\pi\) | ||||
0.206452 | + | 0.978457i | \(0.433808\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 8.35798i | − | 0.507711i | −0.967242 | − | 0.253856i | \(-0.918301\pi\) | ||
0.967242 | − | 0.253856i | \(-0.0816988\pi\) | |||||||
\(272\) | −3.35863 | + | 5.81732i | −0.203647 | + | 0.352727i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.65655 | + | 2.86923i | 0.100076 | + | 0.173336i | ||||
\(275\) | 0.196010 | − | 0.113166i | 0.0118198 | − | 0.00682419i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.10617 | − | 14.0403i | 0.487053 | − | 0.843600i | −0.512837 | − | 0.858486i | \(-0.671405\pi\) |
0.999889 | + | 0.0148865i | \(0.00473868\pi\) | |||||||
\(278\) | 3.47216 | 0.208246 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 25.3352 | + | 14.6273i | 1.51137 | + | 0.872590i | 0.999912 | + | 0.0132818i | \(0.00422786\pi\) |
0.511458 | + | 0.859308i | \(0.329105\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.24230 | + | 0.717242i | −0.0738470 | + | 0.0426356i | −0.536469 | − | 0.843920i | \(-0.680242\pi\) |
0.462622 | + | 0.886556i | \(0.346909\pi\) | |||||||
\(284\) | 0.202223 | − | 0.116753i | 0.0119997 | − | 0.00692803i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.46469 | + | 3.73239i | 0.382265 | + | 0.220701i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 28.1217 | 1.65422 | ||||||||
\(290\) | 2.10704 | − | 3.64950i | 0.123730 | − | 0.214306i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.89272 | + | 3.40216i | −0.344845 | + | 0.199096i | ||||
\(293\) | −10.8260 | − | 18.7511i | −0.632459 | − | 1.09545i | −0.987047 | − | 0.160429i | \(-0.948712\pi\) |
0.354588 | − | 0.935023i | \(-0.384621\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.21575 | − | 3.83779i | 0.129006 | − | 0.223444i | ||||
\(296\) | − | 7.15840i | − | 0.416073i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −13.3407 | −0.772808 | ||||||||
\(299\) | 13.3377 | − | 23.1016i | 0.771338 | − | 1.33600i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 4.62450 | − | 2.66995i | 0.266110 | − | 0.153639i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.47987 | − | 1.43175i | −0.142230 | − | 0.0821167i | ||||
\(305\) | − | 3.03844i | − | 0.173981i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 13.4732i | − | 0.768957i | −0.923134 | − | 0.384479i | \(-0.874381\pi\) | ||
0.923134 | − | 0.384479i | \(-0.125619\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.30662 | + | 3.99518i | 0.131007 | + | 0.226911i | ||||
\(311\) | 14.3669 | + | 24.8842i | 0.814672 | + | 1.41105i | 0.909563 | + | 0.415565i | \(0.136416\pi\) |
−0.0948916 | + | 0.995488i | \(0.530250\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.4636 | + | 11.8147i | 1.15667 | + | 0.667805i | 0.950504 | − | 0.310712i | \(-0.100567\pi\) |
0.206167 | + | 0.978517i | \(0.433901\pi\) | |||||||
\(314\) | 17.6673 | 0.997023 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.27248 | 0.409109 | ||||||||
\(317\) | −0.760093 | − | 0.438840i | −0.0426911 | − | 0.0246477i | 0.478503 | − | 0.878086i | \(-0.341180\pi\) |
−0.521194 | + | 0.853438i | \(0.674513\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.00927 | + | 1.74811i | 0.0565083 | + | 0.0978753i | ||||
\(320\) | −1.14095 | − | 1.97618i | −0.0637811 | − | 0.110472i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 19.2349i | 1.07026i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 1.41417i | − | 0.0784441i | ||||||
\(326\) | −13.7683 | − | 7.94915i | −0.762557 | − | 0.440262i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.25245 | + | 2.45515i | −0.234802 | + | 0.135563i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.0915 | − | 17.4790i | 0.554680 | − | 0.960733i | −0.443249 | − | 0.896399i | \(-0.646174\pi\) |
0.997928 | − | 0.0643345i | \(-0.0204925\pi\) | |||||||
\(332\) | −5.82706 | −0.319801 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.71756i | 0.312851i | ||||||||
\(335\) | 5.81791 | − | 10.0769i | 0.317866 | − | 0.550561i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.757605 | + | 1.31221i | 0.0412694 | + | 0.0714807i | 0.885922 | − | 0.463834i | \(-0.153526\pi\) |
−0.844653 | + | 0.535314i | \(0.820193\pi\) | |||||||
\(338\) | 29.1344 | − | 16.8207i | 1.58470 | − | 0.914927i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −7.66407 | + | 13.2746i | −0.415642 | + | 0.719914i | ||||
\(341\) | −2.20974 | −0.119664 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −6.48214 | − | 3.74246i | −0.349494 | − | 0.201780i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −13.1681 | + | 7.60258i | −0.707919 | + | 0.408717i | ||||
\(347\) | 31.2622 | − | 18.0492i | 1.67824 | − | 0.968934i | 0.715461 | − | 0.698652i | \(-0.246217\pi\) |
0.962781 | − | 0.270281i | \(-0.0871167\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 16.7962 | + | 9.69727i | 0.899078 | + | 0.519083i | 0.876901 | − | 0.480671i | \(-0.159607\pi\) |
0.0221769 | + | 0.999754i | \(0.492940\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.09303 | 0.0582586 | ||||||||
\(353\) | 2.01909 | − | 3.49717i | 0.107465 | − | 0.186136i | −0.807277 | − | 0.590172i | \(-0.799060\pi\) |
0.914743 | + | 0.404037i | \(0.132393\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.461452 | − | 0.266419i | 0.0244913 | − | 0.0141401i | ||||
\(356\) | 8.99707 | + | 15.5834i | 0.476844 | + | 0.825918i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.02986 | + | 3.51582i | −0.107281 | + | 0.185817i | ||||
\(359\) | − | 24.5546i | − | 1.29594i | −0.761666 | − | 0.647970i | \(-0.775618\pi\) | ||
0.761666 | − | 0.647970i | \(-0.224382\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.8003 | 0.568438 | ||||||||
\(362\) | 1.84226 | − | 3.19089i | 0.0968272 | − | 0.167710i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −13.4466 | + | 7.76339i | −0.703827 | + | 0.406354i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.28109 | − | 3.62639i | −0.327870 | − | 0.189296i | 0.327025 | − | 0.945016i | \(-0.393954\pi\) |
−0.654895 | + | 0.755720i | \(0.727287\pi\) | |||||||
\(368\) | − | 3.90593i | − | 0.203611i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 16.3347i | − | 0.849203i | ||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.8921 | + | 25.7939i | 0.771083 | + | 1.33556i | 0.936970 | + | 0.349410i | \(0.113618\pi\) |
−0.165887 | + | 0.986145i | \(0.553049\pi\) | |||||||
\(374\) | −3.67108 | − | 6.35850i | −0.189827 | − | 0.328790i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.89199 | − | 3.40174i | −0.303856 | − | 0.175432i | ||||
\(377\) | 12.6122 | 0.649564 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.11280 | 0.313993 | 0.156997 | − | 0.987599i | \(-0.449819\pi\) | ||||
0.156997 | + | 0.987599i | \(0.449819\pi\) | |||||||
\(380\) | −5.65882 | − | 3.26712i | −0.290291 | − | 0.167600i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 12.8994 | + | 22.3425i | 0.659992 | + | 1.14314i | ||||
\(383\) | −16.2451 | − | 28.1374i | −0.830088 | − | 1.43775i | −0.897968 | − | 0.440061i | \(-0.854957\pi\) |
0.0678797 | − | 0.997694i | \(-0.478377\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 9.28662i | 0.472677i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.77934i | 0.242634i | ||||||||
\(389\) | 1.80316 | + | 1.04105i | 0.0914236 | + | 0.0527834i | 0.545015 | − | 0.838426i | \(-0.316524\pi\) |
−0.453591 | + | 0.891210i | \(0.649857\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −22.7221 | + | 13.1186i | −1.14910 | + | 0.663435i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.93119 | + | 5.07696i | −0.147671 | + | 0.255774i | ||||
\(395\) | 16.5951 | 0.834989 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 18.9364i | − | 0.950393i | −0.879880 | − | 0.475196i | \(-0.842377\pi\) | ||
0.879880 | − | 0.475196i | \(-0.157623\pi\) | |||||||
\(398\) | 8.03191 | − | 13.9117i | 0.402603 | − | 0.697329i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.103535 | − | 0.179327i | −0.00517674 | − | 0.00896637i | ||||
\(401\) | 3.35718 | − | 1.93827i | 0.167650 | − | 0.0967926i | −0.413827 | − | 0.910355i | \(-0.635808\pi\) |
0.581477 | + | 0.813563i | \(0.302475\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.90343 | + | 11.9571i | −0.343884 | + | 0.595625i | ||||
\(404\) | −10.4596 | −0.520385 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.77606 | + | 3.91216i | 0.335877 | + | 0.193919i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.0286 | + | 8.09940i | −0.693669 | + | 0.400490i | −0.804985 | − | 0.593295i | \(-0.797827\pi\) |
0.111316 | + | 0.993785i | \(0.464493\pi\) | |||||||
\(410\) | −9.70367 | + | 5.60242i | −0.479230 | + | 0.276684i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −11.0398 | − | 6.37383i | −0.543892 | − | 0.314016i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −13.2968 | −0.652713 | ||||||||
\(416\) | 3.41473 | − | 5.91448i | 0.167421 | − | 0.289981i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.71057 | − | 1.56495i | 0.132578 | − | 0.0765441i | ||||
\(419\) | −1.63790 | − | 2.83692i | −0.0800165 | − | 0.138593i | 0.823240 | − | 0.567693i | \(-0.192164\pi\) |
−0.903257 | + | 0.429100i | \(0.858831\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.844823 | + | 1.46328i | −0.0411741 | + | 0.0713157i | −0.885878 | − | 0.463918i | \(-0.846443\pi\) |
0.844704 | + | 0.535234i | \(0.179777\pi\) | |||||||
\(422\) | 24.7482i | 1.20472i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.256424 | −0.0124530 | ||||||||
\(425\) | −0.695470 | + | 1.20459i | −0.0337353 | + | 0.0584312i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 8.25865 | − | 4.76813i | 0.399197 | − | 0.230476i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −14.7916 | − | 8.53993i | −0.713314 | − | 0.411832i | ||||
\(431\) | 0.0181384i | 0.000873697i | 1.00000 | 0.000436848i | \(0.000139053\pi\) | |||||
−1.00000 | 0.000436848i | \(0.999861\pi\) | ||||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.36964i | 0.258048i | 0.991641 | + | 0.129024i | \(0.0411845\pi\) | ||||
−0.991641 | + | 0.129024i | \(0.958815\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.88251 | + | 4.99266i | 0.138047 | + | 0.239105i | ||||
\(437\) | −5.59233 | − | 9.68621i | −0.267518 | − | 0.463354i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 18.9141 | + | 10.9201i | 0.902720 | + | 0.521186i | 0.878082 | − | 0.478511i | \(-0.158823\pi\) |
0.0246384 | + | 0.999696i | \(0.492157\pi\) | |||||||
\(440\) | 2.49418 | 0.118905 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −45.8753 | −2.18206 | ||||||||
\(443\) | 1.81806 | + | 1.04966i | 0.0863785 | + | 0.0498707i | 0.542567 | − | 0.840012i | \(-0.317452\pi\) |
−0.456189 | + | 0.889883i | \(0.650786\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 20.5304 | + | 35.5597i | 0.973235 | + | 1.68569i | ||||
\(446\) | −1.84776 | − | 3.20041i | −0.0874938 | − | 0.151544i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 27.1356i | − | 1.28061i | −0.768122 | − | 0.640303i | \(-0.778809\pi\) | ||
0.768122 | − | 0.640303i | \(-0.221191\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 5.36710i | − | 0.252727i | ||||||
\(452\) | 10.3333 | + | 5.96592i | 0.486036 | + | 0.280613i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.99322 | − | 2.30549i | 0.187411 | − | 0.108202i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.21598 | + | 7.30229i | −0.197215 | + | 0.341587i | −0.947624 | − | 0.319387i | \(-0.896523\pi\) |
0.750409 | + | 0.660974i | \(0.229856\pi\) | |||||||
\(458\) | −15.9603 | −0.745777 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 8.91294i | − | 0.415568i | ||||||
\(461\) | 4.67153 | − | 8.09133i | 0.217575 | − | 0.376851i | −0.736491 | − | 0.676447i | \(-0.763519\pi\) |
0.954066 | + | 0.299596i | \(0.0968520\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.7281 | − | 22.0458i | −0.591526 | − | 1.02455i | −0.994027 | − | 0.109134i | \(-0.965192\pi\) |
0.402501 | − | 0.915420i | \(-0.368141\pi\) | |||||||
\(464\) | 1.59933 | − | 0.923371i | 0.0742469 | − | 0.0428664i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.56577 | + | 6.17609i | −0.165181 | + | 0.286102i | ||||
\(467\) | 20.6398 | 0.955094 | 0.477547 | − | 0.878606i | \(-0.341526\pi\) | ||||
0.477547 | + | 0.878606i | \(0.341526\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −13.4449 | − | 7.76244i | −0.620169 | − | 0.358055i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.68184 | − | 0.971009i | 0.0774128 | − | 0.0446943i | ||||
\(473\) | 7.08516 | − | 4.09062i | 0.325776 | − | 0.188087i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.513506 | − | 0.296473i | −0.0235613 | − | 0.0136031i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −15.7292 | −0.719439 | ||||||||
\(479\) | 3.07442 | − | 5.32505i | 0.140474 | − | 0.243308i | −0.787201 | − | 0.616696i | \(-0.788471\pi\) |
0.927675 | + | 0.373388i | \(0.121804\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 42.3382 | − | 24.4440i | 1.93046 | − | 1.11455i | ||||
\(482\) | 0.804201 | + | 1.39292i | 0.0366303 | + | 0.0634456i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.90265 | − | 8.49163i | 0.222848 | − | 0.385983i | ||||
\(485\) | 10.9060i | 0.495215i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.7273 | 0.893929 | 0.446965 | − | 0.894552i | \(-0.352505\pi\) | ||||
0.446965 | + | 0.894552i | \(0.352505\pi\) | |||||||
\(488\) | 0.665771 | − | 1.15315i | 0.0301380 | − | 0.0522006i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.42935 | + | 1.97994i | −0.154764 | + | 0.0893533i | −0.575382 | − | 0.817885i | \(-0.695147\pi\) |
0.420618 | + | 0.907238i | \(0.361813\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.7431 | − | 6.20253i | −0.483845 | − | 0.279348i | ||||
\(494\) | − | 19.5562i | − | 0.879875i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.02166i | 0.0907754i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 18.4092 | + | 31.8856i | 0.824108 | + | 1.42740i | 0.902599 | + | 0.430482i | \(0.141656\pi\) |
−0.0784916 | + | 0.996915i | \(0.525010\pi\) | |||||||
\(500\) | 5.46850 | + | 9.47171i | 0.244559 | + | 0.423588i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −15.9113 | − | 9.18641i | −0.710158 | − | 0.410010i | ||||
\(503\) | 12.3802 | 0.552004 | 0.276002 | − | 0.961157i | \(-0.410990\pi\) | ||||
0.276002 | + | 0.961157i | \(0.410990\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −23.8678 | −1.06210 | ||||||||
\(506\) | 3.69731 | + | 2.13465i | 0.164366 | + | 0.0948966i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.45666 | − | 9.45121i | −0.242100 | − | 0.419329i | ||||
\(509\) | −7.54528 | − | 13.0688i | −0.334438 | − | 0.579264i | 0.648938 | − | 0.760841i | \(-0.275213\pi\) |
−0.983377 | + | 0.181577i | \(0.941880\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 17.4736i | 0.770726i | ||||||||
\(515\) | −25.1917 | − | 14.5445i | −1.11008 | − | 0.640905i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.44011 | − | 3.71820i | 0.283236 | − | 0.163526i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.79207 | − | 13.4963i | 0.341705 | − | 0.591850i | ||||
\(521\) | 24.9816 | 1.09446 | 0.547231 | − | 0.836981i | \(-0.315682\pi\) | ||||
0.547231 | + | 0.836981i | \(0.315682\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 25.0359i | − | 1.09474i | −0.836889 | − | 0.547372i | \(-0.815628\pi\) | ||
0.836889 | − | 0.547372i | \(-0.184372\pi\) | |||||||
\(524\) | −0.989677 | + | 1.71417i | −0.0432342 | + | 0.0748839i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.8072 | + | 23.9148i | 0.602023 | + | 1.04273i | ||||
\(527\) | 11.7607 | − | 6.79003i | 0.512303 | − | 0.295778i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −3.87185 | + | 6.70625i | −0.168341 | + | 0.291576i | ||||
\(530\) | −0.585133 | −0.0254166 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −29.0419 | − | 16.7674i | −1.25795 | − | 0.726275i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.8454 | − | 10.8804i | 0.814759 | − | 0.470401i | ||||
\(536\) | 4.41602 | − | 2.54959i | 0.190743 | − | 0.110126i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 5.86484 | + | 3.38607i | 0.252851 | + | 0.145984i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.4608 | −0.621720 | −0.310860 | − | 0.950456i | \(-0.600617\pi\) | ||||
−0.310860 | + | 0.950456i | \(0.600617\pi\) | |||||||
\(542\) | 4.17899 | − | 7.23822i | 0.179503 | − | 0.310908i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.81732 | + | 3.35863i | −0.249416 | + | 0.144000i | ||||
\(545\) | 6.57761 | + | 11.3928i | 0.281754 | + | 0.488012i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16.9160 | − | 29.2994i | 0.723277 | − | 1.25275i | −0.236402 | − | 0.971655i | \(-0.575968\pi\) |
0.959679 | − | 0.281098i | \(-0.0906985\pi\) | |||||||
\(548\) | 3.31310i | 0.141528i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.226333 | 0.00965086 | ||||||||
\(551\) | 2.64408 | − | 4.57968i | 0.112642 | − | 0.195101i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 14.0403 | − | 8.10617i | 0.596515 | − | 0.344398i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.00698 | + | 1.73608i | 0.127524 | + | 0.0736261i | ||||
\(557\) | − | 5.88269i | − | 0.249257i | −0.992203 | − | 0.124629i | \(-0.960226\pi\) | ||
0.992203 | − | 0.124629i | \(-0.0397740\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 51.1180i | − | 2.16206i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.6273 | + | 25.3352i | 0.617014 | + | 1.06870i | ||||
\(563\) | −7.78184 | − | 13.4785i | −0.327966 | − | 0.568053i | 0.654142 | − | 0.756371i | \(-0.273030\pi\) |
−0.982108 | + | 0.188318i | \(0.939696\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 23.5795 | + | 13.6136i | 0.991997 | + | 0.572730i | ||||
\(566\) | −1.43448 | −0.0602958 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.233507 | 0.00979772 | ||||||||
\(569\) | 22.6993 | + | 13.1055i | 0.951606 | + | 0.549410i | 0.893580 | − | 0.448905i | \(-0.148186\pi\) |
0.0580267 | + | 0.998315i | \(0.481519\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −12.8090 | − | 22.1859i | −0.536041 | − | 0.928451i | −0.999112 | − | 0.0421295i | \(-0.986586\pi\) |
0.463071 | − | 0.886321i | \(-0.346748\pi\) | |||||||
\(572\) | 3.73239 | + | 6.46469i | 0.156059 | + | 0.270302i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 0.808799i | − | 0.0337292i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 32.3939i | 1.34858i | 0.738468 | + | 0.674288i | \(0.235549\pi\) | ||||
−0.738468 | + | 0.674288i | \(0.764451\pi\) | |||||||
\(578\) | 24.3541 | + | 14.0608i | 1.01300 | + | 0.584853i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.64950 | − | 2.10704i | 0.151537 | − | 0.0874901i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.140139 | − | 0.242728i | 0.00580397 | − | 0.0100528i | ||||
\(584\) | −6.80432 | −0.281565 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 21.6519i | − | 0.894432i | ||||||
\(587\) | −4.76851 | + | 8.25931i | −0.196818 | + | 0.340898i | −0.947495 | − | 0.319771i | \(-0.896394\pi\) |
0.750677 | + | 0.660669i | \(0.229727\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.89453 | + | 5.01347i | 0.119267 | + | 0.206576i | ||||
\(590\) | 3.83779 | − | 2.21575i | 0.157999 | − | 0.0912208i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.57920 | − | 6.19935i | 0.147104 | − | 0.254792i | ||||
\(593\) | 3.78817 | 0.155562 | 0.0777808 | − | 0.996970i | \(-0.475217\pi\) | ||||
0.0777808 | + | 0.996970i | \(0.475217\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −11.5534 | − | 6.67036i | −0.473246 | − | 0.273229i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 23.1016 | − | 13.3377i | 0.944693 | − | 0.545419i | ||||
\(599\) | 31.2971 | − | 18.0694i | 1.27876 | − | 0.738295i | 0.302143 | − | 0.953263i | \(-0.402298\pi\) |
0.976621 | + | 0.214968i | \(0.0689647\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.8275 | + | 7.98332i | 0.564036 | + | 0.325646i | 0.754764 | − | 0.655997i | \(-0.227751\pi\) |
−0.190728 | + | 0.981643i | \(0.561085\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.33991 | 0.217278 | ||||||||
\(605\) | 11.1873 | − | 19.3771i | 0.454830 | − | 0.787789i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −19.6190 | + | 11.3270i | −0.796309 | + | 0.459749i | −0.842179 | − | 0.539198i | \(-0.818727\pi\) |
0.0458701 | + | 0.998947i | \(0.485394\pi\) | |||||||
\(608\) | −1.43175 | − | 2.47987i | −0.0580653 | − | 0.100572i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.51922 | − | 2.63137i | 0.0615115 | − | 0.106541i | ||||
\(611\) | − | 46.4641i | − | 1.87974i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.69517 | 0.149246 | 0.0746232 | − | 0.997212i | \(-0.476225\pi\) | ||||
0.0746232 | + | 0.997212i | \(0.476225\pi\) | |||||||
\(614\) | 6.73661 | − | 11.6682i | 0.271868 | − | 0.470888i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.5187 | + | 13.0011i | −0.906567 | + | 0.523407i | −0.879325 | − | 0.476222i | \(-0.842006\pi\) |
−0.0272418 | + | 0.999629i | \(0.508672\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 20.5526 | + | 11.8660i | 0.826079 | + | 0.476937i | 0.852508 | − | 0.522714i | \(-0.175080\pi\) |
−0.0264296 | + | 0.999651i | \(0.508414\pi\) | |||||||
\(620\) | 4.61324i | 0.185272i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 28.7338i | 1.15212i | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 12.9962 | + | 22.5101i | 0.519849 | + | 0.900406i | ||||
\(626\) | 11.8147 | + | 20.4636i | 0.472209 | + | 0.817890i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 15.3003 | + | 8.83364i | 0.610549 | + | 0.352501i | ||||
\(629\) | −48.0848 | −1.91727 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.664631 | −0.0264586 | −0.0132293 | − | 0.999912i | \(-0.504211\pi\) | ||||
−0.0132293 | + | 0.999912i | \(0.504211\pi\) | |||||||
\(632\) | 6.29816 | + | 3.63624i | 0.250527 | + | 0.144642i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.438840 | − | 0.760093i | −0.0174286 | − | 0.0301872i | ||||
\(635\) | −12.4515 | − | 21.5667i | −0.494125 | − | 0.855849i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 2.01854i | 0.0799148i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | − | 2.28190i | − | 0.0902000i | ||||||
\(641\) | 7.27466 | + | 4.20003i | 0.287332 | + | 0.165891i | 0.636738 | − | 0.771080i | \(-0.280283\pi\) |
−0.349406 | + | 0.936971i | \(0.613617\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.237974 | − | 0.137394i | 0.00938478 | − | 0.00541831i | −0.495300 | − | 0.868722i | \(-0.664942\pi\) |
0.504685 | + | 0.863304i | \(0.331609\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.61747 | + | 16.6580i | −0.378394 | + | 0.655398i | ||||
\(647\) | −34.1015 | −1.34067 | −0.670335 | − | 0.742059i | \(-0.733850\pi\) | ||||
−0.670335 | + | 0.742059i | \(0.733850\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.12268i | 0.0833225i | ||||||||
\(650\) | 0.707086 | − | 1.22471i | 0.0277342 | − | 0.0480370i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −7.94915 | − | 13.7683i | −0.311313 | − | 0.539209i | ||||
\(653\) | −1.48356 | + | 0.856531i | −0.0580560 | + | 0.0335187i | −0.528747 | − | 0.848779i | \(-0.677338\pi\) |
0.470691 | + | 0.882298i | \(0.344005\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.25834 | + | 3.91157i | −0.0882408 | + | 0.152838i | ||||
\(656\) | −4.91031 | −0.191715 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −30.0556 | − | 17.3526i | −1.17080 | − | 0.675961i | −0.216930 | − | 0.976187i | \(-0.569604\pi\) |
−0.953868 | + | 0.300226i | \(0.902938\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 33.2075 | − | 19.1724i | 1.29162 | − | 0.745718i | 0.312681 | − | 0.949858i | \(-0.398773\pi\) |
0.978942 | + | 0.204140i | \(0.0654397\pi\) | |||||||
\(662\) | 17.4790 | − | 10.0915i | 0.679341 | − | 0.392218i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.04638 | − | 2.91353i | −0.195838 | − | 0.113067i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.21325 | 0.279298 | ||||||||
\(668\) | −2.85878 | + | 4.95155i | −0.110610 | + | 0.191581i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 10.0769 | − | 5.81791i | 0.389305 | − | 0.224765i | ||||
\(671\) | 0.727706 | + | 1.26042i | 0.0280928 | + | 0.0486581i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.33538 | + | 14.4373i | −0.321305 | + | 0.556517i | −0.980758 | − | 0.195229i | \(-0.937455\pi\) |
0.659452 | + | 0.751746i | \(0.270788\pi\) | |||||||
\(674\) | 1.51521i | 0.0583637i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 33.6415 | 1.29390 | ||||||||
\(677\) | −10.4682 | + | 18.1315i | −0.402327 | + | 0.696850i | −0.994006 | − | 0.109323i | \(-0.965132\pi\) |
0.591680 | + | 0.806173i | \(0.298465\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −13.2746 | + | 7.66407i | −0.509056 | + | 0.293903i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.91369 | − | 1.10487i | −0.0732789 | − | 0.0423076i | ||||
\(683\) | 7.64415i | 0.292495i | 0.989248 | + | 0.146248i | \(0.0467197\pi\) | ||||
−0.989248 | + | 0.146248i | \(0.953280\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7.56016i | 0.288859i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3.74246 | − | 6.48214i | −0.142680 | − | 0.247129i | ||||
\(689\) | −0.875617 | − | 1.51661i | −0.0333583 | − | 0.0577783i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.10461 | − | 5.25655i | −0.346356 | − | 0.199969i | 0.316723 | − | 0.948518i | \(-0.397417\pi\) |
−0.663079 | + | 0.748549i | \(0.730751\pi\) | |||||||
\(692\) | −15.2052 | −0.578013 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 36.0985 | 1.37028 | ||||||||
\(695\) | 6.86162 | + | 3.96156i | 0.260276 | + | 0.150270i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 16.4919 | + | 28.5648i | 0.624676 | + | 1.08197i | ||||
\(698\) | 9.69727 | + | 16.7962i | 0.367047 | + | 0.635744i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 15.7336i | − | 0.594250i | −0.954839 | − | 0.297125i | \(-0.903972\pi\) | ||
0.954839 | − | 0.297125i | \(-0.0960277\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 20.4981i | − | 0.773102i | ||||||
\(704\) | 0.946590 | + | 0.546514i | 0.0356759 | + | 0.0205975i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.49717 | − | 2.01909i | 0.131618 | − | 0.0759895i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.44973 | − | 2.51100i | 0.0544456 | − | 0.0943025i | −0.837518 | − | 0.546410i | \(-0.815994\pi\) |
0.891964 | + | 0.452107i | \(0.149328\pi\) | |||||||
\(710\) | 0.532839 | 0.0199971 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 17.9941i | 0.674359i | ||||||||
\(713\) | −3.94824 | + | 6.83855i | −0.147863 | + | 0.256106i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.51695 | + | 14.7518i | 0.318516 | + | 0.551686i | ||||
\(716\) | −3.51582 | + | 2.02986i | −0.131392 | + | 0.0758595i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 12.2773 | − | 21.2649i | 0.458184 | − | 0.793598i | ||||
\(719\) | −41.1289 | −1.53385 | −0.766924 | − | 0.641738i | \(-0.778214\pi\) | ||||
−0.766924 | + | 0.641738i | \(0.778214\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 9.35335 | + | 5.40016i | 0.348096 | + | 0.200973i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.19089 | − | 1.84226i | 0.118589 | − | 0.0684671i | ||||
\(725\) | 0.331172 | − | 0.191202i | 0.0122994 | − | 0.00710106i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 33.6212 | + | 19.4112i | 1.24694 | + | 0.719921i | 0.970498 | − | 0.241109i | \(-0.0775112\pi\) |
0.276442 | + | 0.961031i | \(0.410845\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −15.5268 | −0.574672 | ||||||||
\(731\) | −25.1391 | + | 43.5423i | −0.929804 | + | 1.61047i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 22.5362 | − | 13.0113i | 0.832394 | − | 0.480583i | −0.0222778 | − | 0.999752i | \(-0.507092\pi\) |
0.854672 | + | 0.519169i | \(0.173758\pi\) | |||||||
\(734\) | −3.62639 | − | 6.28109i | −0.133852 | − | 0.231839i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.95297 | − | 3.38264i | 0.0719873 | − | 0.124686i | ||||
\(737\) | 5.57355i | 0.205304i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.40008 | 0.272216 | 0.136108 | − | 0.990694i | \(-0.456541\pi\) | ||||
0.136108 | + | 0.990694i | \(0.456541\pi\) | |||||||
\(740\) | 8.16737 | − | 14.1463i | 0.300239 | − | 0.520028i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 24.3241 | − | 14.0435i | 0.892366 | − | 0.515208i | 0.0176504 | − | 0.999844i | \(-0.494381\pi\) |
0.874716 | + | 0.484636i | \(0.161048\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −26.3637 | − | 15.2211i | −0.965892 | − | 0.557658i | ||||
\(746\) | 29.7842i | 1.09048i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 7.34216i | − | 0.268456i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −21.1897 | − | 36.7016i | −0.773221 | − | 1.33926i | −0.935789 | − | 0.352561i | \(-0.885311\pi\) |
0.162567 | − | 0.986697i | \(-0.448023\pi\) | |||||||
\(752\) | −3.40174 | − | 5.89199i | −0.124049 | − | 0.214859i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 10.9225 | + | 6.30612i | 0.397775 | + | 0.229655i | ||||
\(755\) | 12.1851 | 0.443463 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −41.6462 | −1.51366 | −0.756828 | − | 0.653614i | \(-0.773252\pi\) | ||||
−0.756828 | + | 0.653614i | \(0.773252\pi\) | |||||||
\(758\) | 5.29384 | + | 3.05640i | 0.192281 | + | 0.111013i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.26712 | − | 5.65882i | −0.118511 | − | 0.205267i | ||||
\(761\) | −17.4823 | − | 30.2802i | −0.633732 | − | 1.09766i | −0.986782 | − | 0.162051i | \(-0.948189\pi\) |
0.353051 | − | 0.935604i | \(-0.385144\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 25.7989i | 0.933370i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 32.4903i | − | 1.17392i | ||||||
\(767\) | 11.4860 | + | 6.63146i | 0.414737 | + | 0.239448i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −18.9307 | + | 10.9296i | −0.682658 | + | 0.394133i | −0.800856 | − | 0.598857i | \(-0.795622\pi\) |
0.118198 | + | 0.992990i | \(0.462288\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −4.64331 | + | 8.04245i | −0.167116 | + | 0.289454i | ||||
\(773\) | −21.2736 | −0.765158 | −0.382579 | − | 0.923923i | \(-0.624964\pi\) | ||||
−0.382579 | + | 0.923923i | \(0.624964\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.418625i | 0.0150374i | ||||||||
\(776\) | −2.38967 | + | 4.13903i | −0.0857842 | + | 0.148583i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.04105 | + | 1.80316i | 0.0373235 | + | 0.0646463i | ||||
\(779\) | −12.1769 | + | 7.03035i | −0.436284 | + | 0.251889i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.127615 | + | 0.221035i | −0.00456641 | + | 0.00790925i | ||||
\(782\) | −26.2372 | −0.938239 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 34.9138 | + | 20.1575i | 1.24613 | + | 0.719452i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −40.7238 | + | 23.5119i | −1.45165 | + | 0.838108i | −0.998575 | − | 0.0533671i | \(-0.983005\pi\) |
−0.453070 | + | 0.891475i | \(0.649671\pi\) | |||||||
\(788\) | −5.07696 | + | 2.93119i | −0.180859 | + | 0.104419i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 14.3718 | + | 8.29754i | 0.511325 | + | 0.295213i | ||||
\(791\) | 0 |