Newspace parameters
Level: | \( N \) | \(=\) | \( 820 = 2^{2} \cdot 5 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 820.bv (of order \(20\), degree \(8\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(6.54773296574\) |
Analytic rank: | \(0\) |
Dimension: | \(960\) |
Relative dimension: | \(120\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 207.21 | ||
Character | \(\chi\) | \(=\) | 820.207 |
Dual form | 820.2.bv.c.103.21 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/820\mathbb{Z}\right)^\times\).
\(n\) | \(411\) | \(621\) | \(657\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{20}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20856 | − | 0.734432i | −0.854579 | − | 0.519322i | ||||
\(3\) | −3.28938 | −1.89912 | −0.949562 | − | 0.313578i | \(-0.898472\pi\) | ||||
−0.949562 | + | 0.313578i | \(0.898472\pi\) | |||||||
\(4\) | 0.921218 | + | 1.77521i | 0.460609 | + | 0.887603i | ||||
\(5\) | −0.479772 | + | 2.18399i | −0.214560 | + | 0.976711i | ||||
\(6\) | 3.97540 | + | 2.41583i | 1.62295 | + | 0.986258i | ||||
\(7\) | 1.14493 | + | 0.372010i | 0.432743 | + | 0.140607i | 0.517285 | − | 0.855813i | \(-0.326943\pi\) |
−0.0845422 | + | 0.996420i | \(0.526943\pi\) | |||||||
\(8\) | 0.190425 | − | 2.82201i | 0.0673255 | − | 0.997731i | ||||
\(9\) | 7.82003 | 2.60668 | ||||||||
\(10\) | 2.18383 | − | 2.28712i | 0.690586 | − | 0.723250i | ||||
\(11\) | −0.512928 | − | 3.23850i | −0.154654 | − | 0.976445i | −0.935911 | − | 0.352236i | \(-0.885421\pi\) |
0.781257 | − | 0.624209i | \(-0.214579\pi\) | |||||||
\(12\) | −3.03024 | − | 5.83933i | −0.874754 | − | 1.68567i | ||||
\(13\) | −2.12858 | + | 0.691618i | −0.590362 | + | 0.191820i | −0.588937 | − | 0.808179i | \(-0.700454\pi\) |
−0.00142488 | + | 0.999999i | \(0.500454\pi\) | |||||||
\(14\) | −1.11050 | − | 1.29047i | −0.296792 | − | 0.344892i | ||||
\(15\) | 1.57815 | − | 7.18398i | 0.407477 | − | 1.85490i | ||||
\(16\) | −2.30272 | + | 3.27070i | −0.575679 | + | 0.817676i | ||||
\(17\) | 0.391645 | − | 0.539053i | 0.0949879 | − | 0.130740i | −0.758878 | − | 0.651233i | \(-0.774252\pi\) |
0.853866 | + | 0.520494i | \(0.174252\pi\) | |||||||
\(18\) | −9.45094 | − | 5.74328i | −2.22761 | − | 1.35370i | ||||
\(19\) | −3.18160 | + | 1.62111i | −0.729909 | + | 0.371907i | −0.779115 | − | 0.626881i | \(-0.784331\pi\) |
0.0492055 | + | 0.998789i | \(0.484331\pi\) | |||||||
\(20\) | −4.31901 | + | 1.16024i | −0.965760 | + | 0.259437i | ||||
\(21\) | −3.76611 | − | 1.22368i | −0.821832 | − | 0.267029i | ||||
\(22\) | −1.75856 | + | 4.29062i | −0.374926 | + | 0.914764i | ||||
\(23\) | 1.59211 | − | 3.12469i | 0.331977 | − | 0.651542i | −0.663328 | − | 0.748329i | \(-0.730857\pi\) |
0.995305 | + | 0.0967869i | \(0.0308565\pi\) | |||||||
\(24\) | −0.626381 | + | 9.28266i | −0.127859 | + | 1.89482i | ||||
\(25\) | −4.53964 | − | 2.09563i | −0.907928 | − | 0.419127i | ||||
\(26\) | 3.08046 | + | 0.727440i | 0.604128 | + | 0.142663i | ||||
\(27\) | −15.8549 | −3.05128 | ||||||||
\(28\) | 0.394335 | + | 2.37519i | 0.0745223 | + | 0.448868i | ||||
\(29\) | 10.1164 | + | 1.60228i | 1.87857 | + | 0.297536i | 0.987656 | − | 0.156641i | \(-0.0500664\pi\) |
0.890912 | + | 0.454176i | \(0.150066\pi\) | |||||||
\(30\) | −7.18343 | + | 7.52320i | −1.31151 | + | 1.37354i | ||||
\(31\) | 1.82004 | − | 2.50507i | 0.326888 | − | 0.449923i | −0.613666 | − | 0.789565i | \(-0.710306\pi\) |
0.940555 | + | 0.339642i | \(0.110306\pi\) | |||||||
\(32\) | 5.18507 | − | 2.26164i | 0.916600 | − | 0.399806i | ||||
\(33\) | 1.68722 | + | 10.6527i | 0.293707 | + | 1.85439i | ||||
\(34\) | −0.869223 | + | 0.363839i | −0.149071 | + | 0.0623979i | ||||
\(35\) | −1.36177 | + | 2.32204i | −0.230181 | + | 0.392496i | ||||
\(36\) | 7.20395 | + | 13.8822i | 1.20066 | + | 2.31369i | ||||
\(37\) | −5.35660 | − | 0.848402i | −0.880620 | − | 0.139477i | −0.300280 | − | 0.953851i | \(-0.597080\pi\) |
−0.580340 | + | 0.814374i | \(0.697080\pi\) | |||||||
\(38\) | 5.03574 | + | 0.377472i | 0.816905 | + | 0.0612340i | ||||
\(39\) | 7.00171 | − | 2.27500i | 1.12117 | − | 0.364291i | ||||
\(40\) | 6.07188 | + | 1.76981i | 0.960049 | + | 0.279831i | ||||
\(41\) | 6.33814 | − | 0.909921i | 0.989851 | − | 0.142106i | ||||
\(42\) | 3.65284 | + | 4.24484i | 0.563646 | + | 0.654993i | ||||
\(43\) | 0.819384 | + | 0.417497i | 0.124955 | + | 0.0636677i | 0.515350 | − | 0.856980i | \(-0.327662\pi\) |
−0.390396 | + | 0.920647i | \(0.627662\pi\) | |||||||
\(44\) | 5.27649 | − | 3.89392i | 0.795461 | − | 0.587031i | ||||
\(45\) | −3.75183 | + | 17.0789i | −0.559289 | + | 2.54597i | ||||
\(46\) | −4.21902 | + | 2.60706i | −0.622061 | + | 0.384391i | ||||
\(47\) | −1.76309 | − | 5.42624i | −0.257173 | − | 0.791498i | −0.993394 | − | 0.114756i | \(-0.963391\pi\) |
0.736220 | − | 0.676742i | \(-0.236609\pi\) | |||||||
\(48\) | 7.57451 | − | 10.7586i | 1.09329 | − | 1.55287i | ||||
\(49\) | −4.49065 | − | 3.26265i | −0.641521 | − | 0.466092i | ||||
\(50\) | 3.94731 | + | 5.86675i | 0.558234 | + | 0.829684i | ||||
\(51\) | −1.28827 | + | 1.77315i | −0.180394 | + | 0.248291i | ||||
\(52\) | −3.18865 | − | 3.14154i | −0.442187 | − | 0.435653i | ||||
\(53\) | 1.83504 | + | 2.52572i | 0.252062 | + | 0.346934i | 0.916232 | − | 0.400648i | \(-0.131215\pi\) |
−0.664170 | + | 0.747582i | \(0.731215\pi\) | |||||||
\(54\) | 19.1615 | + | 11.6444i | 2.60756 | + | 1.58460i | ||||
\(55\) | 7.31895 | + | 0.433510i | 0.986887 | + | 0.0584545i | ||||
\(56\) | 1.26784 | − | 3.16016i | 0.169422 | − | 0.422294i | ||||
\(57\) | 10.4655 | − | 5.33244i | 1.38619 | − | 0.706299i | ||||
\(58\) | −11.0495 | − | 9.36625i | −1.45087 | − | 1.22985i | ||||
\(59\) | 3.94585 | + | 12.1441i | 0.513705 | + | 1.58102i | 0.785625 | + | 0.618703i | \(0.212341\pi\) |
−0.271920 | + | 0.962320i | \(0.587659\pi\) | |||||||
\(60\) | 14.2069 | − | 3.81647i | 1.83410 | − | 0.492704i | ||||
\(61\) | 0.620962 | + | 0.201763i | 0.0795060 | + | 0.0258331i | 0.348500 | − | 0.937309i | \(-0.386691\pi\) |
−0.268994 | + | 0.963142i | \(0.586691\pi\) | |||||||
\(62\) | −4.03942 | + | 1.69082i | −0.513007 | + | 0.214734i | ||||
\(63\) | 8.95338 | + | 2.90913i | 1.12802 | + | 0.366516i | ||||
\(64\) | −7.92748 | − | 1.07476i | −0.990935 | − | 0.134345i | ||||
\(65\) | −0.489255 | − | 4.98062i | −0.0606846 | − | 0.617770i | ||||
\(66\) | 5.78457 | − | 14.1135i | 0.712031 | − | 1.73725i | ||||
\(67\) | 9.04522 | − | 6.57174i | 1.10505 | − | 0.802866i | 0.123173 | − | 0.992385i | \(-0.460693\pi\) |
0.981877 | + | 0.189520i | \(0.0606931\pi\) | |||||||
\(68\) | 1.31772 | + | 0.198665i | 0.159797 | + | 0.0240917i | ||||
\(69\) | −5.23705 | + | 10.2783i | −0.630466 | + | 1.23736i | ||||
\(70\) | 3.35116 | − | 1.80618i | 0.400540 | − | 0.215880i | ||||
\(71\) | 0.734882 | + | 4.63986i | 0.0872144 | + | 0.550650i | 0.992145 | + | 0.125091i | \(0.0399224\pi\) |
−0.904931 | + | 0.425559i | \(0.860078\pi\) | |||||||
\(72\) | 1.48913 | − | 22.0682i | 0.175496 | − | 2.60076i | ||||
\(73\) | 2.04839 | + | 2.04839i | 0.239746 | + | 0.239746i | 0.816745 | − | 0.576999i | \(-0.195776\pi\) |
−0.576999 | + | 0.816745i | \(0.695776\pi\) | |||||||
\(74\) | 5.85066 | + | 4.95941i | 0.680126 | + | 0.576519i | ||||
\(75\) | 14.9326 | + | 6.89334i | 1.72427 | + | 0.795974i | ||||
\(76\) | −5.80875 | − | 4.15461i | −0.666309 | − | 0.476566i | ||||
\(77\) | 0.617489 | − | 3.89867i | 0.0703694 | − | 0.444295i | ||||
\(78\) | −10.1328 | − | 2.39283i | −1.14731 | − | 0.270934i | ||||
\(79\) | −3.29665 | + | 3.29665i | −0.370902 | + | 0.370902i | −0.867806 | − | 0.496903i | \(-0.834470\pi\) |
0.496903 | + | 0.867806i | \(0.334470\pi\) | |||||||
\(80\) | −6.03841 | − | 6.59830i | −0.675115 | − | 0.737712i | ||||
\(81\) | 28.6927 | 3.18808 | ||||||||
\(82\) | −8.32828 | − | 3.55525i | −0.919705 | − | 0.392611i | ||||
\(83\) | 7.50211 | + | 7.50211i | 0.823464 | + | 0.823464i | 0.986603 | − | 0.163139i | \(-0.0521619\pi\) |
−0.163139 | + | 0.986603i | \(0.552162\pi\) | |||||||
\(84\) | −1.29712 | − | 7.81290i | −0.141527 | − | 0.852457i | ||||
\(85\) | 0.989387 | + | 1.11397i | 0.107314 | + | 0.120827i | ||||
\(86\) | −0.683649 | − | 1.10635i | −0.0737197 | − | 0.119301i | ||||
\(87\) | −33.2767 | − | 5.27051i | −3.56763 | − | 0.565058i | ||||
\(88\) | −9.23676 | + | 0.830796i | −0.984642 | + | 0.0885632i | ||||
\(89\) | 0.0119906 | − | 0.00610950i | 0.00127100 | − | 0.000647605i | −0.453355 | − | 0.891330i | \(-0.649773\pi\) |
0.454626 | + | 0.890682i | \(0.349773\pi\) | |||||||
\(90\) | 17.0776 | − | 17.8853i | 1.80013 | − | 1.88528i | ||||
\(91\) | −2.69436 | −0.282446 | ||||||||
\(92\) | 7.01364 | − | 0.0521983i | 0.731222 | − | 0.00544205i | ||||
\(93\) | −5.98679 | + | 8.24012i | −0.620802 | + | 0.854460i | ||||
\(94\) | −1.85441 | + | 7.85279i | −0.191268 | + | 0.809953i | ||||
\(95\) | −2.01404 | − | 7.72635i | −0.206636 | − | 0.792707i | ||||
\(96\) | −17.0557 | + | 7.43940i | −1.74074 | + | 0.759281i | ||||
\(97\) | 9.55353 | + | 13.1493i | 0.970014 | + | 1.33511i | 0.942040 | + | 0.335502i | \(0.108906\pi\) |
0.0279747 | + | 0.999609i | \(0.491094\pi\) | |||||||
\(98\) | 3.03101 | + | 7.24117i | 0.306178 | + | 0.731469i | ||||
\(99\) | −4.01111 | − | 25.3252i | −0.403132 | − | 2.54528i | ||||
\(100\) | −0.461813 | − | 9.98933i | −0.0461813 | − | 0.998933i | ||||
\(101\) | −3.00023 | + | 1.52870i | −0.298534 | + | 0.152111i | −0.596842 | − | 0.802359i | \(-0.703578\pi\) |
0.298307 | + | 0.954470i | \(0.403578\pi\) | |||||||
\(102\) | 2.85921 | − | 1.19681i | 0.283104 | − | 0.118501i | ||||
\(103\) | 7.90780 | + | 15.5199i | 0.779178 | + | 1.52922i | 0.847040 | + | 0.531529i | \(0.178382\pi\) |
−0.0678617 | + | 0.997695i | \(0.521618\pi\) | |||||||
\(104\) | 1.54642 | + | 6.13858i | 0.151639 | + | 0.601937i | ||||
\(105\) | 4.47938 | − | 7.63806i | 0.437143 | − | 0.745398i | ||||
\(106\) | −0.362782 | − | 4.40019i | −0.0352365 | − | 0.427384i | ||||
\(107\) | 6.51491 | + | 12.7862i | 0.629821 | + | 1.23609i | 0.956714 | + | 0.291031i | \(0.0939983\pi\) |
−0.326893 | + | 0.945061i | \(0.606002\pi\) | |||||||
\(108\) | −14.6058 | − | 28.1457i | −1.40545 | − | 2.70832i | ||||
\(109\) | 1.30643 | − | 1.30643i | 0.125133 | − | 0.125133i | −0.641767 | − | 0.766900i | \(-0.721798\pi\) |
0.766900 | + | 0.641767i | \(0.221798\pi\) | |||||||
\(110\) | −8.52698 | − | 5.89920i | −0.813016 | − | 0.562466i | ||||
\(111\) | 17.6199 | + | 2.79072i | 1.67241 | + | 0.264883i | ||||
\(112\) | −3.85318 | + | 2.88809i | −0.364091 | + | 0.272899i | ||||
\(113\) | 13.1496 | − | 2.08269i | 1.23701 | − | 0.195923i | 0.496541 | − | 0.868013i | \(-0.334603\pi\) |
0.740470 | + | 0.672090i | \(0.234603\pi\) | |||||||
\(114\) | −16.5645 | − | 1.24165i | −1.55140 | − | 0.116291i | ||||
\(115\) | 6.06044 | + | 4.97628i | 0.565139 | + | 0.464041i | ||||
\(116\) | 6.47503 | + | 19.4347i | 0.601191 | + | 1.80447i | ||||
\(117\) | −16.6456 | + | 5.40847i | −1.53888 | + | 0.500013i | ||||
\(118\) | 4.15022 | − | 17.5747i | 0.382058 | − | 1.61789i | ||||
\(119\) | 0.648939 | − | 0.471482i | 0.0594881 | − | 0.0432207i | ||||
\(120\) | −19.9727 | − | 5.82157i | −1.82325 | − | 0.531434i | ||||
\(121\) | 0.236821 | − | 0.0769480i | 0.0215292 | − | 0.00699527i | ||||
\(122\) | −0.602286 | − | 0.699896i | −0.0545284 | − | 0.0633656i | ||||
\(123\) | −20.8486 | + | 2.99308i | −1.87985 | + | 0.269877i | ||||
\(124\) | 6.12366 | + | 0.923230i | 0.549921 | + | 0.0829085i | ||||
\(125\) | 6.75484 | − | 8.90911i | 0.604171 | − | 0.796855i | ||||
\(126\) | −8.68410 | − | 10.0915i | −0.773641 | − | 0.899022i | ||||
\(127\) | −2.93916 | + | 18.5571i | −0.260808 | + | 1.64668i | 0.415160 | + | 0.909749i | \(0.363726\pi\) |
−0.675968 | + | 0.736931i | \(0.736274\pi\) | |||||||
\(128\) | 8.79146 | + | 7.12111i | 0.777063 | + | 0.629423i | ||||
\(129\) | −2.69527 | − | 1.37331i | −0.237305 | − | 0.120913i | ||||
\(130\) | −3.06664 | + | 6.37869i | −0.268962 | + | 0.559448i | ||||
\(131\) | −12.1521 | − | 8.82905i | −1.06174 | − | 0.771397i | −0.0873282 | − | 0.996180i | \(-0.527833\pi\) |
−0.974409 | + | 0.224782i | \(0.927833\pi\) | |||||||
\(132\) | −17.3564 | + | 12.8086i | −1.51068 | + | 1.11484i | ||||
\(133\) | −4.24578 | + | 0.672465i | −0.368155 | + | 0.0583101i | ||||
\(134\) | −15.7582 | + | 1.29921i | −1.36130 | + | 0.112235i | ||||
\(135\) | 7.60673 | − | 34.6270i | 0.654683 | − | 2.98021i | ||||
\(136\) | −1.44663 | − | 1.20788i | −0.124048 | − | 0.103574i | ||||
\(137\) | 5.76817i | 0.492808i | 0.969167 | + | 0.246404i | \(0.0792489\pi\) | ||||
−0.969167 | + | 0.246404i | \(0.920751\pi\) | |||||||
\(138\) | 13.8780 | − | 8.57563i | 1.18137 | − | 0.730006i | ||||
\(139\) | −4.78897 | + | 14.7389i | −0.406195 | + | 1.25014i | 0.513698 | + | 0.857971i | \(0.328275\pi\) |
−0.919893 | + | 0.392169i | \(0.871725\pi\) | |||||||
\(140\) | −5.37658 | − | 0.278324i | −0.454404 | − | 0.0235227i | ||||
\(141\) | 5.79948 | + | 17.8490i | 0.488404 | + | 1.50315i | ||||
\(142\) | 2.51952 | − | 6.14726i | 0.211433 | − | 0.515866i | ||||
\(143\) | 3.33162 | + | 6.53867i | 0.278604 | + | 0.546791i | ||||
\(144\) | −18.0073 | + | 25.5770i | −1.50061 | + | 2.13142i | ||||
\(145\) | −8.35292 | + | 21.3254i | −0.693673 | + | 1.77098i | ||||
\(146\) | −0.971192 | − | 3.98000i | −0.0803765 | − | 0.329388i | ||||
\(147\) | 14.7714 | + | 10.7321i | 1.21833 | + | 0.885168i | ||||
\(148\) | −3.42851 | − | 10.2906i | −0.281822 | − | 0.845885i | ||||
\(149\) | 1.71620 | − | 10.8356i | 0.140596 | − | 0.887691i | −0.812045 | − | 0.583595i | \(-0.801646\pi\) |
0.952641 | − | 0.304096i | \(-0.0983543\pi\) | |||||||
\(150\) | −12.9842 | − | 19.2980i | −1.06016 | − | 1.57567i | ||||
\(151\) | 7.66317 | − | 15.0398i | 0.623620 | − | 1.22392i | −0.335797 | − | 0.941934i | \(-0.609006\pi\) |
0.959418 | − | 0.281989i | \(-0.0909942\pi\) | |||||||
\(152\) | 3.96892 | + | 9.28721i | 0.321922 | + | 0.753292i | ||||
\(153\) | 3.06267 | − | 4.21541i | 0.247603 | − | 0.340796i | ||||
\(154\) | −3.60958 | + | 4.25826i | −0.290868 | + | 0.343140i | ||||
\(155\) | 4.59784 | + | 5.17681i | 0.369307 | + | 0.415811i | ||||
\(156\) | 10.4887 | + | 10.3337i | 0.839767 | + | 0.827360i | ||||
\(157\) | 5.52386 | − | 17.0007i | 0.440852 | − | 1.35680i | −0.446117 | − | 0.894975i | \(-0.647193\pi\) |
0.886969 | − | 0.461829i | \(-0.152807\pi\) | |||||||
\(158\) | 6.40536 | − | 1.56302i | 0.509583 | − | 0.124347i | ||||
\(159\) | −6.03615 | − | 8.30805i | −0.478698 | − | 0.658871i | ||||
\(160\) | 2.45176 | + | 12.4092i | 0.193828 | + | 0.981035i | ||||
\(161\) | 2.98526 | − | 2.98526i | 0.235272 | − | 0.235272i | ||||
\(162\) | −34.6768 | − | 21.0729i | −2.72446 | − | 1.65564i | ||||
\(163\) | 8.22960 | + | 8.22960i | 0.644592 | + | 0.644592i | 0.951681 | − | 0.307089i | \(-0.0993550\pi\) |
−0.307089 | + | 0.951681i | \(0.599355\pi\) | |||||||
\(164\) | 7.45411 | + | 10.4133i | 0.582068 | + | 0.813140i | ||||
\(165\) | −24.0748 | − | 1.42598i | −1.87422 | − | 0.111012i | ||||
\(166\) | −3.55693 | − | 14.5765i | −0.276072 | − | 1.13136i | ||||
\(167\) | 11.3541i | 0.878609i | 0.898338 | + | 0.439304i | \(0.144775\pi\) | ||||
−0.898338 | + | 0.439304i | \(0.855225\pi\) | |||||||
\(168\) | −4.17041 | + | 10.3950i | −0.321754 | + | 0.801990i | ||||
\(169\) | −6.46470 | + | 4.69688i | −0.497284 | + | 0.361298i | ||||
\(170\) | −0.377593 | − | 2.07294i | −0.0289601 | − | 0.158987i | ||||
\(171\) | −24.8802 | + | 12.6771i | −1.90264 | + | 0.969442i | ||||
\(172\) | 0.0136879 | + | 1.83918i | 0.00104369 | + | 0.140236i | ||||
\(173\) | 1.03076 | + | 1.03076i | 0.0783670 | + | 0.0783670i | 0.745204 | − | 0.666837i | \(-0.232352\pi\) |
−0.666837 | + | 0.745204i | \(0.732352\pi\) | |||||||
\(174\) | 36.3459 | + | 30.8092i | 2.75538 | + | 2.33564i | ||||
\(175\) | −4.41797 | − | 4.08814i | −0.333967 | − | 0.309035i | ||||
\(176\) | 11.7733 | + | 5.77971i | 0.887447 | + | 0.435662i | ||||
\(177\) | −12.9794 | − | 39.9465i | −0.975591 | − | 3.00256i | ||||
\(178\) | −0.0189783 | − | 0.00142259i | −0.00142248 | − | 0.000106627i | ||||
\(179\) | −21.7885 | − | 3.45096i | −1.62855 | − | 0.257937i | −0.725737 | − | 0.687973i | \(-0.758501\pi\) |
−0.902812 | + | 0.430036i | \(0.858501\pi\) | |||||||
\(180\) | −33.7748 | + | 9.07309i | −2.51742 | + | 0.676269i | ||||
\(181\) | −2.33600 | − | 14.7489i | −0.173633 | − | 1.09628i | −0.908445 | − | 0.418005i | \(-0.862729\pi\) |
0.734811 | − | 0.678271i | \(-0.237271\pi\) | |||||||
\(182\) | 3.25629 | + | 1.97883i | 0.241372 | + | 0.146681i | ||||
\(183\) | −2.04258 | − | 0.663674i | −0.150992 | − | 0.0490602i | ||||
\(184\) | −8.51472 | − | 5.08796i | −0.627713 | − | 0.375089i | ||||
\(185\) | 4.42285 | − | 11.2917i | 0.325174 | − | 0.830185i | ||||
\(186\) | 13.2872 | − | 5.56175i | 0.974264 | − | 0.407807i | ||||
\(187\) | −1.94661 | − | 0.991848i | −0.142350 | − | 0.0725311i | ||||
\(188\) | 8.00850 | − | 8.12860i | 0.584080 | − | 0.592839i | ||||
\(189\) | −18.1527 | − | 5.89818i | −1.32042 | − | 0.429030i | ||||
\(190\) | −3.24040 | + | 10.8169i | −0.235083 | + | 0.784741i | ||||
\(191\) | 8.51456 | − | 8.51456i | 0.616092 | − | 0.616092i | −0.328435 | − | 0.944527i | \(-0.606521\pi\) |
0.944527 | + | 0.328435i | \(0.106521\pi\) | |||||||
\(192\) | 26.0765 | + | 3.53531i | 1.88191 | + | 0.255139i | ||||
\(193\) | −13.5424 | − | 18.6395i | −0.974803 | − | 1.34170i | −0.939583 | − | 0.342321i | \(-0.888787\pi\) |
−0.0352197 | − | 0.999380i | \(-0.511213\pi\) | |||||||
\(194\) | −1.88871 | − | 22.9081i | −0.135601 | − | 1.64471i | ||||
\(195\) | 1.60935 | + | 16.3832i | 0.115248 | + | 1.17322i | ||||
\(196\) | 1.65501 | − | 10.9774i | 0.118215 | − | 0.784102i | ||||
\(197\) | −10.9839 | + | 1.73968i | −0.782572 | + | 0.123947i | −0.534921 | − | 0.844902i | \(-0.679659\pi\) |
−0.247651 | + | 0.968849i | \(0.579659\pi\) | |||||||
\(198\) | −13.7520 | + | 33.5528i | −0.977310 | + | 2.38449i | ||||
\(199\) | −0.871702 | + | 1.71081i | −0.0617933 | + | 0.121276i | −0.919837 | − | 0.392300i | \(-0.871680\pi\) |
0.858044 | + | 0.513576i | \(0.171680\pi\) | |||||||
\(200\) | −6.77836 | + | 12.4118i | −0.479303 | + | 0.877650i | ||||
\(201\) | −29.7532 | + | 21.6169i | −2.09863 | + | 1.52474i | ||||
\(202\) | 4.74868 | + | 0.355954i | 0.334116 | + | 0.0250448i | ||||
\(203\) | 10.9865 | + | 5.59790i | 0.771101 | + | 0.392895i | ||||
\(204\) | −4.33449 | − | 0.653486i | −0.303475 | − | 0.0457532i | ||||
\(205\) | −1.05360 | + | 14.2790i | −0.0735867 | + | 0.997289i | ||||
\(206\) | 1.84132 | − | 24.5645i | 0.128291 | − | 1.71149i | ||||
\(207\) | 12.4503 | − | 24.4351i | 0.865357 | − | 1.69836i | ||||
\(208\) | 2.63944 | − | 8.55456i | 0.183012 | − | 0.593152i | ||||
\(209\) | 6.88189 | + | 9.47211i | 0.476030 | + | 0.655200i | ||||
\(210\) | −11.0232 | + | 5.94122i | −0.760675 | + | 0.409983i | ||||
\(211\) | 12.5686 | + | 6.40402i | 0.865259 | + | 0.440871i | 0.829512 | − | 0.558490i | \(-0.188619\pi\) |
0.0357471 | + | 0.999361i | \(0.488619\pi\) | |||||||
\(212\) | −2.79320 | + | 5.58432i | −0.191838 | + | 0.383532i | ||||
\(213\) | −2.41731 | − | 15.2623i | −0.165631 | − | 1.04575i | ||||
\(214\) | 1.51699 | − | 20.2377i | 0.103699 | − | 1.38342i | ||||
\(215\) | −1.30493 | + | 1.58922i | −0.0889953 | + | 0.108384i | ||||
\(216\) | −3.01917 | + | 44.7427i | −0.205429 | + | 3.04435i | ||||
\(217\) | 3.01572 | − | 2.19105i | 0.204721 | − | 0.148738i | ||||
\(218\) | −2.53837 | + | 0.619409i | −0.171920 | + | 0.0419516i | ||||
\(219\) | −6.73794 | − | 6.73794i | −0.455308 | − | 0.455308i | ||||
\(220\) | 5.97278 | + | 13.3920i | 0.402685 | + | 0.902889i | ||||
\(221\) | −0.460829 | + | 1.41829i | −0.0309987 | + | 0.0954043i | ||||
\(222\) | −19.2451 | − | 16.3134i | −1.29164 | − | 1.09488i | ||||
\(223\) | −8.19188 | + | 16.0775i | −0.548569 | + | 1.07663i | 0.435724 | + | 0.900080i | \(0.356492\pi\) |
−0.984292 | + | 0.176546i | \(0.943508\pi\) | |||||||
\(224\) | 6.77789 | − | 0.660521i | 0.452867 | − | 0.0441329i | ||||
\(225\) | −35.5001 | − | 16.3879i | −2.36667 | − | 1.09253i | ||||
\(226\) | −17.4216 | − | 7.14045i | −1.15887 | − | 0.474975i | ||||
\(227\) | 4.79454 | − | 14.7561i | 0.318225 | − | 0.979396i | −0.656181 | − | 0.754603i | \(-0.727829\pi\) |
0.974407 | − | 0.224793i | \(-0.0721706\pi\) | |||||||
\(228\) | 19.1072 | + | 13.6661i | 1.26540 | + | 0.905058i | ||||
\(229\) | −13.0361 | + | 2.06472i | −0.861450 | + | 0.136440i | −0.571500 | − | 0.820602i | \(-0.693638\pi\) |
−0.289949 | + | 0.957042i | \(0.593638\pi\) | |||||||
\(230\) | −3.66964 | − | 10.4651i | −0.241969 | − | 0.690048i | ||||
\(231\) | −2.03116 | + | 12.8242i | −0.133640 | + | 0.843771i | ||||
\(232\) | 6.44806 | − | 28.2435i | 0.423336 | − | 1.85427i | ||||
\(233\) | 13.2236 | − | 4.29660i | 0.866305 | − | 0.281479i | 0.158045 | − | 0.987432i | \(-0.449481\pi\) |
0.708259 | + | 0.705952i | \(0.249481\pi\) | |||||||
\(234\) | 24.0893 | + | 5.68860i | 1.57476 | + | 0.371875i | ||||
\(235\) | 12.6967 | − | 1.24722i | 0.828244 | − | 0.0813598i | ||||
\(236\) | −17.9232 | + | 18.1920i | −1.16670 | + | 1.18420i | ||||
\(237\) | 10.8439 | − | 10.8439i | 0.704390 | − | 0.704390i | ||||
\(238\) | −1.13055 | + | 0.0932105i | −0.0732827 | + | 0.00604194i | ||||
\(239\) | 0.472376 | + | 0.927089i | 0.0305554 | + | 0.0599684i | 0.905780 | − | 0.423749i | \(-0.139286\pi\) |
−0.875224 | + | 0.483718i | \(0.839286\pi\) | |||||||
\(240\) | 19.8626 | + | 21.7043i | 1.28213 | + | 1.40101i | ||||
\(241\) | 11.9281 | + | 16.4176i | 0.768357 | + | 1.05755i | 0.996473 | + | 0.0839189i | \(0.0267437\pi\) |
−0.228115 | + | 0.973634i | \(0.573256\pi\) | |||||||
\(242\) | −0.342725 | − | 0.0809334i | −0.0220312 | − | 0.00520260i | ||||
\(243\) | −46.8166 | −3.00329 | ||||||||
\(244\) | 0.213871 | + | 1.28820i | 0.0136917 | + | 0.0824687i | ||||
\(245\) | 9.28008 | − | 8.24221i | 0.592882 | − | 0.526576i | ||||
\(246\) | 27.3949 | + | 11.6946i | 1.74663 | + | 0.745618i | ||||
\(247\) | 5.65111 | − | 5.65111i | 0.359572 | − | 0.359572i | ||||
\(248\) | −6.72274 | − | 5.61319i | −0.426894 | − | 0.356438i | ||||
\(249\) | −24.6773 | − | 24.6773i | −1.56386 | − | 1.56386i | ||||
\(250\) | −14.7067 | + | 5.80619i | −0.930136 | + | 0.367215i | ||||
\(251\) | 23.1444 | − | 16.8154i | 1.46086 | − | 1.06138i | 0.477722 | − | 0.878511i | \(-0.341463\pi\) |
0.983138 | − | 0.182866i | \(-0.0585373\pi\) | |||||||
\(252\) | 3.08371 | + | 18.5740i | 0.194255 | + | 1.17005i | ||||
\(253\) | −10.9359 | − | 3.55330i | −0.687536 | − | 0.223394i | ||||
\(254\) | 17.1811 | − | 20.2687i | 1.07804 | − | 1.27177i | ||||
\(255\) | −3.25447 | − | 3.66428i | −0.203803 | − | 0.229466i | ||||
\(256\) | −5.39501 | − | 15.0630i | −0.337188 | − | 0.941437i | ||||
\(257\) | 10.2376 | + | 7.43807i | 0.638606 | + | 0.463974i | 0.859371 | − | 0.511353i | \(-0.170855\pi\) |
−0.220765 | + | 0.975327i | \(0.570855\pi\) | |||||||
\(258\) | 2.24878 | + | 3.63921i | 0.140003 | + | 0.226567i | ||||
\(259\) | −5.81732 | − | 2.96407i | −0.361470 | − | 0.184178i | ||||
\(260\) | 8.39092 | − | 5.45677i | 0.520383 | − | 0.338414i | ||||
\(261\) | 79.1105 | + | 12.5299i | 4.89681 | + | 0.775579i | ||||
\(262\) | 8.20221 | + | 19.5953i | 0.506734 | + | 1.21060i | ||||
\(263\) | 14.2643 | − | 19.6331i | 0.879574 | − | 1.21063i | −0.0969642 | − | 0.995288i | \(-0.530913\pi\) |
0.976539 | − | 0.215342i | \(-0.0690868\pi\) | |||||||
\(264\) | 30.3832 | − | 2.73281i | 1.86996 | − | 0.168193i | ||||
\(265\) | −6.39655 | + | 2.79595i | −0.392937 | + | 0.171754i | ||||
\(266\) | 5.62514 | + | 2.30552i | 0.344900 | + | 0.141361i | ||||
\(267\) | −0.0394415 | + | 0.0200965i | −0.00241378 | + | 0.00122988i | ||||
\(268\) | 19.9988 | + | 10.0031i | 1.22162 | + | 0.611039i | ||||
\(269\) | −0.666358 | + | 0.216513i | −0.0406285 | + | 0.0132010i | −0.329261 | − | 0.944239i | \(-0.606800\pi\) |
0.288632 | + | 0.957440i | \(0.406800\pi\) | |||||||
\(270\) | −34.6243 | + | 36.2620i | −2.10717 | + | 2.20684i | ||||
\(271\) | 12.1838 | + | 3.95877i | 0.740116 | + | 0.240478i | 0.654723 | − | 0.755869i | \(-0.272785\pi\) |
0.0853930 | + | 0.996347i | \(0.472785\pi\) | |||||||
\(272\) | 0.861236 | + | 2.52224i | 0.0522201 | + | 0.152933i | ||||
\(273\) | 8.86279 | 0.536400 | ||||||||
\(274\) | 4.23633 | − | 6.97115i | 0.255926 | − | 0.421143i | ||||
\(275\) | −4.45821 | + | 15.7765i | −0.268840 | + | 0.951361i | ||||
\(276\) | −23.0705 | + | 0.171700i | −1.38868 | + | 0.0103351i | ||||
\(277\) | 2.63386 | + | 16.6295i | 0.158253 | + | 0.999172i | 0.931149 | + | 0.364639i | \(0.118807\pi\) |
−0.772896 | + | 0.634533i | \(0.781193\pi\) | |||||||
\(278\) | 16.6125 | − | 14.2957i | 0.996351 | − | 0.857396i | ||||
\(279\) | 14.2327 | − | 19.5897i | 0.852092 | − | 1.17280i | ||||
\(280\) | 6.29349 | + | 4.28511i | 0.376108 | + | 0.256084i | ||||
\(281\) | −6.57910 | + | 12.9122i | −0.392476 | + | 0.770278i | −0.999706 | − | 0.0242485i | \(-0.992281\pi\) |
0.607230 | + | 0.794526i | \(0.292281\pi\) | |||||||
\(282\) | 6.09986 | − | 25.8308i | 0.363241 | − | 1.53820i | ||||
\(283\) | 11.9570 | + | 1.89380i | 0.710767 | + | 0.112575i | 0.501341 | − | 0.865250i | \(-0.332840\pi\) |
0.209427 | + | 0.977824i | \(0.432840\pi\) | |||||||
\(284\) | −7.55973 | + | 5.57889i | −0.448587 | + | 0.331046i | ||||
\(285\) | 6.62495 | + | 25.4149i | 0.392428 | + | 1.50545i | ||||
\(286\) | 0.775761 | − | 10.3492i | 0.0458717 | − | 0.611961i | ||||
\(287\) | 7.59522 | + | 1.31606i | 0.448332 | + | 0.0776844i | ||||
\(288\) | 40.5474 | − | 17.6861i | 2.38928 | − | 1.04216i | ||||
\(289\) | 5.11610 | + | 15.7457i | 0.300947 | + | 0.926219i | ||||
\(290\) | 25.7570 | − | 19.6383i | 1.51251 | − | 1.15320i | ||||
\(291\) | −31.4252 | − | 43.2531i | −1.84218 | − | 2.53554i | ||||
\(292\) | −1.74930 | + | 5.52334i | −0.102370 | + | 0.323229i | ||||
\(293\) | 0.0349019 | + | 0.107417i | 0.00203899 | + | 0.00627537i | 0.952071 | − | 0.305878i | \(-0.0989498\pi\) |
−0.950032 | + | 0.312153i | \(0.898950\pi\) | |||||||
\(294\) | −9.97014 | − | 23.8190i | −0.581470 | − | 1.38915i | ||||
\(295\) | −28.4156 | + | 2.79132i | −1.65442 | + | 0.162517i | ||||
\(296\) | −3.41423 | + | 14.9548i | −0.198448 | + | 0.869232i | ||||
\(297\) | 8.13243 | + | 51.3461i | 0.471891 | + | 2.97940i | ||||
\(298\) | −10.0322 | + | 11.8351i | −0.581148 | + | 0.685587i | ||||
\(299\) | −1.22784 | + | 7.75228i | −0.0710078 | + | 0.448326i | ||||
\(300\) | 1.51908 | + | 32.8587i | 0.0877040 | + | 1.89710i | ||||
\(301\) | 0.782824 | + | 0.782824i | 0.0451212 | + | 0.0451212i | ||||
\(302\) | −20.3071 | + | 12.5484i | −1.16854 | + | 0.722079i | ||||
\(303\) | 9.86891 | − | 5.02846i | 0.566954 | − | 0.288878i | ||||
\(304\) | 2.02416 | − | 14.1390i | 0.116094 | − | 0.810928i | ||||
\(305\) | −0.738568 | + | 1.25937i | −0.0422903 | + | 0.0721116i | ||||
\(306\) | −6.79735 | + | 2.84523i | −0.388579 | + | 0.162651i | ||||
\(307\) | −11.3136 | + | 5.76456i | −0.645700 | + | 0.329001i | −0.745990 | − | 0.665958i | \(-0.768023\pi\) |
0.100289 | + | 0.994958i | \(0.468023\pi\) | |||||||
\(308\) | 7.48979 | − | 2.49536i | 0.426770 | − | 0.142186i | ||||
\(309\) | −26.0118 | − | 51.0509i | −1.47976 | − | 2.90419i | ||||
\(310\) | −1.75474 | − | 9.63327i | −0.0996624 | − | 0.547133i | ||||
\(311\) | −19.0139 | + | 3.01151i | −1.07818 | + | 0.170767i | −0.670168 | − | 0.742209i | \(-0.733778\pi\) |
−0.408012 | + | 0.912976i | \(0.633778\pi\) | |||||||
\(312\) | −5.08676 | − | 20.1921i | −0.287981 | − | 1.14315i | ||||
\(313\) | −5.36402 | + | 3.89719i | −0.303192 | + | 0.220282i | −0.728970 | − | 0.684546i | \(-0.760001\pi\) |
0.425778 | + | 0.904828i | \(0.360001\pi\) | |||||||
\(314\) | −19.1618 | + | 16.4894i | −1.08136 | + | 0.930551i | ||||
\(315\) | −10.6491 | + | 18.1584i | −0.600008 | + | 1.02311i | ||||
\(316\) | −8.88917 | − | 2.81530i | −0.500055 | − | 0.158373i | ||||
\(317\) | 3.82261 | + | 2.77729i | 0.214699 | + | 0.155988i | 0.689937 | − | 0.723869i | \(-0.257638\pi\) |
−0.475238 | + | 0.879857i | \(0.657638\pi\) | |||||||
\(318\) | 1.19333 | + | 14.4739i | 0.0669186 | + | 0.811656i | ||||
\(319\) | − | 33.5838i | − | 1.88033i | ||||||
\(320\) | 6.15065 | − | 16.7979i | 0.343832 | − | 0.939031i | ||||
\(321\) | −21.4300 | − | 42.0588i | −1.19611 | − | 2.34749i | ||||
\(322\) | −5.80034 | + | 1.41539i | −0.323240 | + | 0.0788764i | ||||
\(323\) | −0.372196 | + | 2.34995i | −0.0207095 | + | 0.130755i | ||||
\(324\) | 26.4322 | + | 50.9355i | 1.46846 | + | 2.82975i | ||||
\(325\) | 11.1124 | + | 1.32103i | 0.616403 | + | 0.0732777i | ||||
\(326\) | −3.90185 | − | 15.9900i | −0.216103 | − | 0.885605i | ||||
\(327\) | −4.29734 | + | 4.29734i | −0.237643 | + | 0.237643i | ||||
\(328\) | −1.36086 | − | 18.0596i | −0.0751412 | − | 0.997173i | ||||
\(329\) | − | 6.86855i | − | 0.378675i | ||||||
\(330\) | 28.0485 | + | 19.4047i | 1.54402 | + | 1.06819i | ||||
\(331\) | 2.44851 | + | 2.44851i | 0.134582 | + | 0.134582i | 0.771189 | − | 0.636607i | \(-0.219662\pi\) |
−0.636607 | + | 0.771189i | \(0.719662\pi\) | |||||||
\(332\) | −6.40672 | + | 20.2289i | −0.351614 | + | 1.11020i | ||||
\(333\) | −41.8888 | − | 6.63453i | −2.29549 | − | 0.363570i | ||||
\(334\) | 8.33884 | − | 13.7221i | 0.456281 | − | 0.750840i | ||||
\(335\) | 10.0130 | + | 22.9076i | 0.547068 | + | 1.25158i | ||||
\(336\) | 12.6746 | − | 9.50003i | 0.691455 | − | 0.518269i | ||||
\(337\) | 0.0591917 | − | 0.0591917i | 0.00322438 | − | 0.00322438i | −0.705493 | − | 0.708717i | \(-0.749274\pi\) |
0.708717 | + | 0.705493i | \(0.249274\pi\) | |||||||
\(338\) | 11.2625 | − | 0.928559i | 0.612599 | − | 0.0505069i | ||||
\(339\) | −43.2541 | + | 6.85077i | −2.34924 | + | 0.372083i | ||||
\(340\) | −1.06609 | + | 2.78258i | −0.0578168 | + | 0.150906i | ||||
\(341\) | −9.04621 | − | 4.60927i | −0.489880 | − | 0.249606i | ||||
\(342\) | 39.3796 | + | 2.95184i | 2.12940 | + | 0.159617i | ||||
\(343\) | −8.88097 | − | 12.2236i | −0.479527 | − | 0.660013i | ||||
\(344\) | 1.33421 | − | 2.23281i | 0.0719359 | − | 0.120385i | ||||
\(345\) | −19.9351 | − | 16.3689i | −1.07327 | − | 0.881271i | ||||
\(346\) | −0.488707 | − | 2.00275i | −0.0262730 | − | 0.107668i | ||||
\(347\) | 1.09477 | − | 3.36935i | 0.0587702 | − | 0.180876i | −0.917362 | − | 0.398055i | \(-0.869685\pi\) |
0.976132 | + | 0.217179i | \(0.0696854\pi\) | |||||||
\(348\) | −21.2988 | − | 63.9283i | −1.14174 | − | 3.42691i | ||||
\(349\) | −5.95153 | + | 18.3169i | −0.318578 | + | 0.980483i | 0.655678 | + | 0.755041i | \(0.272383\pi\) |
−0.974256 | + | 0.225443i | \(0.927617\pi\) | |||||||
\(350\) | 2.33690 | + | 8.18545i | 0.124912 | + | 0.437531i | ||||
\(351\) | 33.7484 | − | 10.9655i | 1.80136 | − | 0.585297i | ||||
\(352\) | −9.98390 | − | 15.6318i | −0.532144 | − | 0.833178i | ||||
\(353\) | −0.223762 | − | 0.439158i | −0.0119097 | − | 0.0233740i | 0.884975 | − | 0.465638i | \(-0.154175\pi\) |
−0.896885 | + | 0.442264i | \(0.854175\pi\) | |||||||
\(354\) | −13.6516 | + | 57.8100i | −0.725577 | + | 3.07257i | ||||
\(355\) | −10.4860 | − | 0.621098i | −0.556539 | − | 0.0329645i | ||||
\(356\) | 0.0218915 | + | 0.0156575i | 0.00116025 | + | 0.000829848i | ||||
\(357\) | −2.13461 | + | 1.55088i | −0.112975 | + | 0.0820814i | ||||
\(358\) | 23.7981 | + | 20.1729i | 1.25777 | + | 1.06617i | ||||
\(359\) | 26.7732 | + | 19.4519i | 1.41304 | + | 1.02663i | 0.992872 | + | 0.119183i | \(0.0380275\pi\) |
0.420164 | + | 0.907448i | \(0.361973\pi\) | |||||||
\(360\) | 47.4823 | + | 13.8399i | 2.50254 | + | 0.729429i | ||||
\(361\) | −3.67332 | + | 5.05589i | −0.193333 | + | 0.266100i | ||||
\(362\) | −8.00888 | + | 19.5405i | −0.420938 | + | 1.02703i | ||||
\(363\) | −0.778996 | + | 0.253111i | −0.0408867 | + | 0.0132849i | ||||
\(364\) | −2.48210 | − | 4.78305i | −0.130097 | − | 0.250700i | ||||
\(365\) | −5.45643 | + | 3.49091i | −0.285603 | + | 0.182723i | ||||
\(366\) | 1.98115 | + | 2.30222i | 0.103556 | + | 0.120339i | ||||
\(367\) | 8.44671 | − | 16.5776i | 0.440915 | − | 0.865344i | −0.558444 | − | 0.829542i | \(-0.688601\pi\) |
0.999359 | − | 0.0358019i | \(-0.0113985\pi\) | |||||||
\(368\) | 6.55375 | + | 12.4026i | 0.341638 | + | 0.646529i | ||||
\(369\) | 49.5644 | − | 7.11561i | 2.58022 | − | 0.370424i | ||||
\(370\) | −13.6383 | + | 10.3984i | −0.709020 | + | 0.540588i | ||||
\(371\) | 1.16140 | + | 3.57442i | 0.0602969 | + | 0.185575i | ||||
\(372\) | −20.1430 | − | 3.03685i | −1.04437 | − | 0.157454i | ||||
\(373\) | 5.33316 | − | 33.6723i | 0.276141 | − | 1.74348i | −0.326251 | − | 0.945283i | \(-0.605785\pi\) |
0.602392 | − | 0.798201i | \(-0.294215\pi\) | |||||||
\(374\) | 1.62414 | + | 2.62836i | 0.0839825 | + | 0.135909i | ||||
\(375\) | −22.2192 | + | 29.3054i | −1.14740 | + | 1.51333i | ||||
\(376\) | −15.6486 | + | 3.94217i | −0.807017 | + | 0.203302i | ||||
\(377\) | −22.6417 | + | 3.58610i | −1.16611 | + | 0.184693i | ||||
\(378\) | 17.6068 | + | 20.4602i | 0.905596 | + | 1.05236i | ||||
\(379\) | 29.8298 | + | 21.6726i | 1.53226 | + | 1.11325i | 0.954969 | + | 0.296707i | \(0.0958885\pi\) |
0.577287 | + | 0.816541i | \(0.304111\pi\) | |||||||
\(380\) | 11.8605 | − | 10.6930i | 0.608431 | − | 0.548539i | ||||
\(381\) | 9.66802 | − | 61.0415i | 0.495308 | − | 3.12725i | ||||
\(382\) | −16.5437 | + | 4.03696i | −0.846449 | + | 0.206549i | ||||
\(383\) | − | 21.1431i | − | 1.08036i | −0.841549 | − | 0.540181i | \(-0.818356\pi\) | ||
0.841549 | − | 0.540181i | \(-0.181644\pi\) | |||||||
\(384\) | −28.9185 | − | 23.4240i | −1.47574 | − | 1.19535i | ||||
\(385\) | 8.21841 | + | 3.21906i | 0.418849 | + | 0.164059i | ||||
\(386\) | 2.67729 | + | 32.4729i | 0.136270 | + | 1.65283i | ||||
\(387\) | 6.40761 | + | 3.26484i | 0.325717 | + | 0.165961i | ||||
\(388\) | −14.5419 | + | 29.0729i | −0.738251 | + | 1.47595i | ||||
\(389\) | 6.46871 | − | 19.9086i | 0.327977 | − | 1.00941i | −0.642102 | − | 0.766619i | \(-0.721938\pi\) |
0.970079 | − | 0.242789i | \(-0.0780624\pi\) | |||||||
\(390\) | 10.0873 | − | 20.9819i | 0.510792 | − | 1.06246i | ||||
\(391\) | −1.06083 | − | 2.08200i | −0.0536485 | − | 0.105291i | ||||
\(392\) | −10.0624 | + | 12.0514i | −0.508225 | + | 0.608686i | ||||
\(393\) | 39.9730 | + | 29.0421i | 2.01637 | + | 1.46498i | ||||
\(394\) | 14.5524 | + | 5.96444i | 0.733138 | + | 0.300484i | ||||
\(395\) | −5.61822 | − | 8.78150i | −0.282683 | − | 0.441845i | ||||
\(396\) | 41.2623 | − | 30.4506i | 2.07351 | − | 1.53020i | ||||
\(397\) | 2.85730 | + | 8.79386i | 0.143404 | + | 0.441351i | 0.996802 | − | 0.0799076i | \(-0.0254625\pi\) |
−0.853399 | + | 0.521259i | \(0.825463\pi\) | |||||||
\(398\) | 2.30998 | − | 1.42741i | 0.115789 | − | 0.0715494i | ||||
\(399\) | 13.9660 | − | 2.21199i | 0.699173 | − | 0.110738i | ||||
\(400\) | 17.3077 | − | 10.0222i | 0.865385 | − | 0.501108i | ||||
\(401\) | − | 29.3822i | − | 1.46728i | −0.679539 | − | 0.733639i | \(-0.737820\pi\) | ||
0.679539 | − | 0.733639i | \(-0.262180\pi\) | |||||||
\(402\) | 51.8346 | − | 4.27361i | 2.58527 | − | 0.213148i | ||||
\(403\) | −2.14155 | + | 6.59101i | −0.106678 | + | 0.328321i | ||||
\(404\) | −5.47762 | − | 3.91777i | −0.272522 | − | 0.194916i | ||||
\(405\) | −13.7660 | + | 62.6647i | −0.684036 | + | 3.11383i | ||||
\(406\) | −9.16652 | − | 14.8342i | −0.454927 | − | 0.736210i | ||||
\(407\) | 17.7825i | 0.881448i | ||||||||
\(408\) | 4.75853 | + | 3.97316i | 0.235582 | + | 0.196701i | ||||
\(409\) | 2.55811i | 0.126490i | 0.997998 | + | 0.0632451i | \(0.0201450\pi\) | ||||
−0.997998 | + | 0.0632451i | \(0.979855\pi\) | |||||||
\(410\) | 11.7603 | − | 16.4832i | 0.580800 | − | 0.814046i | ||||
\(411\) | − | 18.9737i | − | 0.935903i | ||||||
\(412\) | −20.2663 | + | 28.3352i | −0.998447 | + | 1.39598i | ||||
\(413\) | 15.3720i | 0.756406i | ||||||||
\(414\) | −32.9929 | + | 20.3873i | −1.62151 | + | 1.00198i | ||||
\(415\) | −19.9839 | + | 12.7853i | −0.980969 | + | 0.627603i | ||||
\(416\) | −9.47266 | + | 8.40018i | −0.464435 | + | 0.411853i | ||||
\(417\) | 15.7527 | − | 48.4819i | 0.771415 | − | 2.37417i | ||||
\(418\) | −1.36053 | − | 16.5019i | −0.0665457 | − | 0.807133i | ||||
\(419\) | − | 21.9886i | − | 1.07421i | −0.843515 | − | 0.537106i | \(-0.819517\pi\) | ||
0.843515 | − | 0.537106i | \(-0.180483\pi\) | |||||||
\(420\) | 17.6856 | + | 0.915514i | 0.862970 | + | 0.0446725i | ||||
\(421\) | 11.2644 | − | 1.78411i | 0.548993 | − | 0.0869520i | 0.124225 | − | 0.992254i | \(-0.460356\pi\) |
0.424768 | + | 0.905302i | \(0.360356\pi\) | |||||||
\(422\) | −10.4865 | − | 16.9704i | −0.510477 | − | 0.826107i | ||||
\(423\) | −13.7874 | − | 42.4333i | −0.670367 | − | 2.06318i | ||||
\(424\) | 7.47704 | − | 4.69755i | 0.363117 | − | 0.228133i | ||||
\(425\) | −2.90759 | + | 1.62636i | −0.141039 | + | 0.0788901i | ||||
\(426\) | −8.28766 | + | 20.2207i | −0.401538 | + | 0.979694i | ||||
\(427\) | 0.635899 | + | 0.462008i | 0.0307733 | + | 0.0223581i | ||||
\(428\) | −16.6966 | + | 23.3442i | −0.807059 | + | 1.12839i | ||||
\(429\) | −10.9590 | − | 21.5082i | −0.529103 | − | 1.03842i | ||||
\(430\) | 2.74426 | − | 0.962287i | 0.132340 | − | 0.0464056i | ||||
\(431\) | −9.02667 | + | 27.7812i | −0.434799 | + | 1.33817i | 0.458493 | + | 0.888698i | \(0.348390\pi\) |
−0.893292 | + | 0.449477i | \(0.851610\pi\) | |||||||
\(432\) | 36.5093 | − | 51.8567i | 1.75656 | − | 2.49496i | ||||
\(433\) | 32.7708 | + | 16.6976i | 1.57486 | + | 0.802433i | 0.999876 | − | 0.0157288i | \(-0.00500683\pi\) |
0.574988 | + | 0.818162i | \(0.305007\pi\) | |||||||
\(434\) | −5.25385 | + | 0.433164i | −0.252193 | + | 0.0207926i | ||||
\(435\) | 27.4759 | − | 70.1473i | 1.31737 | − | 3.36331i | ||||
\(436\) | 3.52268 | + | 1.11567i | 0.168706 | + | 0.0534311i | ||||
\(437\) | 12.5225i | 0.599031i | ||||||||
\(438\) | 3.19462 | + | 13.0918i | 0.152645 | + | 0.625548i | ||||
\(439\) | −1.25115 | + | 7.89948i | −0.0597143 | + | 0.377022i | 0.939675 | + | 0.342070i | \(0.111128\pi\) |
−0.999389 | + | 0.0349520i | \(0.988872\pi\) | |||||||
\(440\) | 2.61708 | − | 20.5716i | 0.124765 | − | 0.980712i | ||||
\(441\) | −35.1170 | − | 25.5140i | −1.67224 | − | 1.21495i | ||||
\(442\) | 1.59857 | − | 1.37563i | 0.0760364 | − | 0.0654322i | ||||
\(443\) | 12.1733 | − | 1.92806i | 0.578372 | − | 0.0916051i | 0.139607 | − | 0.990207i | \(-0.455416\pi\) |
0.438765 | + | 0.898602i | \(0.355416\pi\) | |||||||
\(444\) | 11.2777 | + | 33.8498i | 0.535215 | + | 1.60644i | ||||
\(445\) | 0.00759036 | + | 0.0291185i | 0.000359817 | + | 0.00138035i | ||||
\(446\) | 21.7082 | − | 13.4141i | 1.02791 | − | 0.635178i | ||||
\(447\) | −5.64523 | + | 35.6426i | −0.267010 | + | 1.68584i | ||||
\(448\) | −8.67658 | − | 4.17963i | −0.409930 | − | 0.197469i | ||||
\(449\) | 2.21355 | + | 6.81259i | 0.104464 | + | 0.321506i | 0.989604 | − | 0.143818i | \(-0.0459379\pi\) |
−0.885141 | + | 0.465324i | \(0.845938\pi\) | |||||||
\(450\) | 30.8680 | + | 45.8781i | 1.45513 | + | 2.16272i | ||||
\(451\) | −6.19779 | − | 20.0594i | −0.291843 | − | 0.944558i | ||||
\(452\) | 15.8109 | + | 21.4247i | 0.743680 | + | 1.00773i | ||||
\(453\) | −25.2071 | + | 49.4717i | −1.18433 | + | 2.32438i | ||||
\(454\) | −16.6318 | + | 14.3123i | −0.780571 | + | 0.671710i | ||||
\(455\) | 1.29268 | − | 5.88447i | 0.0606018 | − | 0.275868i | ||||
\(456\) | −13.0553 | − | 30.5492i | −0.611370 | − | 1.43060i | ||||
\(457\) | 10.4973 | − | 3.41077i | 0.491042 | − | 0.159549i | −0.0530212 | − | 0.998593i | \(-0.516885\pi\) |
0.544063 | + | 0.839044i | \(0.316885\pi\) | |||||||
\(458\) | 17.2713 | + | 7.07881i | 0.807033 | + | 0.330771i | ||||
\(459\) | −6.20949 | + | 8.54663i | −0.289834 | + | 0.398923i | ||||
\(460\) | −3.25094 | + | 15.3428i | −0.151576 | + | 0.715360i | ||||
\(461\) | 14.7193 | + | 10.6942i | 0.685547 | + | 0.498079i | 0.875193 | − | 0.483773i | \(-0.160734\pi\) |
−0.189646 | + | 0.981852i | \(0.560734\pi\) | |||||||
\(462\) | 11.8733 | − | 14.0070i | 0.552395 | − | 0.651666i | ||||
\(463\) | 0.916595 | − | 0.665945i | 0.0425978 | − | 0.0309491i | −0.566283 | − | 0.824211i | \(-0.691619\pi\) |
0.608880 | + | 0.793262i | \(0.291619\pi\) | |||||||
\(464\) | −28.5358 | + | 29.3981i | −1.32474 | + | 1.36477i | ||||
\(465\) | −15.1240 | − | 17.0285i | −0.701361 | − | 0.789677i | ||||
\(466\) | −19.1370 | − | 4.51914i | −0.886504 | − | 0.209345i | ||||
\(467\) | −1.86918 | − | 3.66848i | −0.0864955 | − | 0.169757i | 0.843707 | − | 0.536804i | \(-0.180369\pi\) |
−0.930202 | + | 0.367047i | \(0.880369\pi\) | |||||||
\(468\) | −24.9353 | − | 24.5669i | −1.15264 | − | 1.13561i | ||||
\(469\) | 12.8009 | − | 4.15926i | 0.591090 | − | 0.192057i | ||||
\(470\) | −16.2607 | − | 7.81756i | −0.750052 | − | 0.360597i | ||||
\(471\) | −18.1701 | + | 55.9218i | −0.837234 | + | 2.57674i | ||||
\(472\) | 35.0221 | − | 8.82268i | 1.61202 | − | 0.406097i | ||||
\(473\) | 0.931780 | − | 2.86772i | 0.0428433 | − | 0.131858i | ||||
\(474\) | −21.0697 | + | 5.14137i | −0.967762 | + | 0.236151i | ||||
\(475\) | 17.8406 | − | 0.691765i | 0.818581 | − | 0.0317404i | ||||
\(476\) | 1.43479 | + | 0.717663i | 0.0657636 | + | 0.0328940i | ||||
\(477\) | 14.3501 | + | 19.7512i | 0.657045 | + | 0.904345i | ||||
\(478\) | 0.109992 | − | 1.46737i | 0.00503091 | − | 0.0671158i | ||||
\(479\) | 8.67147 | + | 4.41833i | 0.396209 | + | 0.201879i | 0.640732 | − | 0.767765i | \(-0.278631\pi\) |
−0.244522 | + | 0.969644i | \(0.578631\pi\) | |||||||
\(480\) | −8.06476 | − | 40.8187i | −0.368104 | − | 1.86311i | ||||
\(481\) | 11.9887 | − | 1.89883i | 0.546639 | − | 0.0865792i | ||||
\(482\) | −2.35815 | − | 28.6020i | −0.107411 | − | 1.30279i | ||||
\(483\) | −9.81967 | + | 9.81967i | −0.446810 | + | 0.446810i | ||||
\(484\) | 0.354763 | + | 0.349521i | 0.0161256 | + | 0.0158873i | ||||
\(485\) | −33.3015 | + | 14.5562i | −1.51214 | + | 0.660962i | ||||
\(486\) | 56.5805 | + | 34.3836i | 2.56654 | + | 1.55967i | ||||
\(487\) | −19.5190 | − | 3.09150i | −0.884490 | − | 0.140089i | −0.302368 | − | 0.953191i | \(-0.597777\pi\) |
−0.582122 | + | 0.813102i | \(0.697777\pi\) | |||||||
\(488\) | 0.687623 | − | 1.71394i | 0.0311272 | − | 0.0775864i | ||||
\(489\) | −27.0703 | − | 27.0703i | −1.22416 | − | 1.22416i | ||||
\(490\) | −17.2688 | + | 3.14559i | −0.780127 | + | 0.142103i | ||||
\(491\) | − | 15.8487i | − | 0.715240i | −0.933867 | − | 0.357620i | \(-0.883588\pi\) | ||
0.933867 | − | 0.357620i | \(-0.116412\pi\) | |||||||
\(492\) | −24.5194 | − | 34.2532i | −1.10542 | − | 1.54425i | ||||
\(493\) | 4.82575 | − | 4.82575i | 0.217341 | − | 0.217341i | ||||
\(494\) | −10.9800 | + | 2.67933i | −0.494016 | + | 0.120549i | ||||
\(495\) | 57.2344 | + | 3.39006i | 2.57249 | + | 0.152372i | ||||
\(496\) | 4.00230 | + | 11.7213i | 0.179709 | + | 0.526300i | ||||
\(497\) | −0.884687 | + | 5.58570i | −0.0396837 | + | 0.250553i | ||||
\(498\) | 11.7001 | + | 47.9477i | 0.524294 | + | 2.14859i | ||||
\(499\) | 2.85821 | + | 5.60956i | 0.127951 | + | 0.251118i | 0.946091 | − | 0.323901i | \(-0.104994\pi\) |
−0.818140 | + | 0.575019i | \(0.804994\pi\) | |||||||
\(500\) | 22.0382 | + | 3.78400i | 0.985577 | + | 0.169226i | ||||
\(501\) | − | 37.3480i | − | 1.66859i | ||||||
\(502\) | −40.3210 | + | 3.32435i | −1.79962 | + | 0.148373i | ||||
\(503\) | −11.4501 | − | 8.31900i | −0.510535 | − | 0.370926i | 0.302491 | − | 0.953152i | \(-0.402182\pi\) |
−0.813027 | + | 0.582226i | \(0.802182\pi\) | |||||||
\(504\) | 9.91454 | − | 24.7125i | 0.441629 | − | 1.10078i | ||||
\(505\) | −1.89923 | − | 7.28591i | −0.0845147 | − | 0.324219i | ||||
\(506\) | 10.6070 | + | 12.3261i | 0.471540 | + | 0.547961i | ||||
\(507\) | 21.2649 | − | 15.4498i | 0.944405 | − | 0.686151i | ||||
\(508\) | −35.6504 | + | 11.8775i | −1.58173 | + | 0.526981i | ||||
\(509\) | 33.6604 | − | 5.33129i | 1.49197 | − | 0.236305i | 0.643459 | − | 0.765480i | \(-0.277499\pi\) |
0.848513 | + | 0.529175i | \(0.177499\pi\) | |||||||
\(510\) | 1.24205 | + | 6.81868i | 0.0549988 | + | 0.301936i | ||||
\(511\) | 1.58324 | + | 3.10729i | 0.0700385 | + | 0.137458i | ||||
\(512\) | −4.54258 | + | 22.1668i | −0.200756 | + | 0.979641i | ||||
\(513\) | 50.4440 | − | 25.7025i | 2.22716 | − | 1.13479i | ||||
\(514\) | −6.90999 | − | 16.5082i | −0.304787 | − | 0.728145i | ||||
\(515\) | −37.6893 | + | 9.82454i | −1.66079 | + | 0.432921i | ||||
\(516\) | −0.0450248 | − | 6.04977i | −0.00198211 | − | 0.266326i | ||||
\(517\) | −16.6685 | + | 8.49305i | −0.733082 | + | 0.373524i | ||||
\(518\) | 4.85365 | + | 7.85467i | 0.213257 | + | 0.345115i | ||||
\(519\) | −3.39055 | − | 3.39055i | −0.148829 | − | 0.148829i | ||||
\(520\) | −14.1485 | + | 0.432246i | −0.620454 | + | 0.0189553i | ||||
\(521\) | −0.610428 | + | 3.85409i | −0.0267433 | + | 0.168851i | −0.997445 | − | 0.0714365i | \(-0.977242\pi\) |
0.970702 | + | 0.240287i | \(0.0772417\pi\) | |||||||
\(522\) | −86.4071 | − | 73.2443i | −3.78194 | − | 3.20582i | ||||
\(523\) | −3.10912 | − | 19.6302i | −0.135952 | − | 0.858368i | −0.957543 | − | 0.288291i | \(-0.906913\pi\) |
0.821591 | − | 0.570078i | \(-0.193087\pi\) | |||||||
\(524\) | 4.47861 | − | 29.7060i | 0.195649 | − | 1.29771i | ||||
\(525\) | 14.5324 | + | 13.4475i | 0.634245 | + | 0.586895i | ||||
\(526\) | −31.6584 | + | 13.2516i | −1.38037 | + | 0.577796i | ||||
\(527\) | −0.637555 | − | 1.96219i | −0.0277723 | − | 0.0854745i | ||||
\(528\) | −38.7269 | − | 19.0117i | −1.68537 | − | 0.827377i | ||||
\(529\) | 6.29021 | + | 8.65773i | 0.273487 | + | 0.376423i | ||||
\(530\) | 9.78403 | + | 1.31877i | 0.424991 | + | 0.0572838i | ||||
\(531\) | 30.8566 | + | 94.9669i | 1.33906 | + | 4.12121i | ||||
\(532\) | −5.10505 | − | 6.91764i | −0.221332 | − | 0.299918i | ||||
\(533\) | −12.8619 | + | 6.32041i | −0.557112 | + | 0.273768i | ||||
\(534\) | 0.0624268 | + | 0.00467943i | 0.00270147 | + | 0.000202499i | ||||
\(535\) | −31.0507 | + | 8.09404i | −1.34244 | + | 0.349936i | ||||
\(536\) | −16.8231 | − | 26.7771i | −0.726646 | − | 1.15660i | ||||
\(537\) | 71.6706 | + | 11.3515i | 3.09282 | + | 0.489854i | ||||
\(538\) | 0.964345 | + | 0.227727i | 0.0415759 | + | 0.00981800i | ||||
\(539\) | −8.26271 | + | 16.2165i | −0.355900 | + | 0.698493i | ||||
\(540\) | 68.4775 | − | 18.3955i | 2.94680 | − | 0.791615i | ||||
\(541\) | 0.236475 | − | 0.325480i | 0.0101669 | − | 0.0139935i | −0.803903 | − | 0.594760i | \(-0.797247\pi\) |
0.814070 | + | 0.580767i | \(0.197247\pi\) | |||||||
\(542\) | −11.8174 | − | 13.7326i | −0.507601 | − | 0.589866i | ||||
\(543\) | 7.68398 | + | 48.5147i | 0.329751 | + | 2.08197i | ||||
\(544\) | 0.811563 | − | 3.68079i | 0.0347955 | − | 0.157813i | ||||
\(545\) | 2.22644 | + | 3.48001i | 0.0953702 | + | 0.149067i | ||||
\(546\) | −10.7112 | − | 6.50912i | −0.458396 | − | 0.278565i | ||||
\(547\) | −2.23544 | −0.0955807 | −0.0477903 | − | 0.998857i | \(-0.515218\pi\) | ||||
−0.0477903 | + | 0.998857i | \(0.515218\pi\) | |||||||
\(548\) | −10.2397 | + | 5.31374i | −0.437418 | + | 0.226992i | ||||
\(549\) | 4.85594 | + | 1.57779i | 0.207246 | + | 0.0673384i | ||||
\(550\) | 16.9748 | − | 15.7926i | 0.723808 | − | 0.673398i | ||||
\(551\) | −34.7838 | + | 11.3019i | −1.48184 | + | 0.481479i | ||||
\(552\) | 28.0081 | + | 16.7362i | 1.19211 | + | 0.712341i | ||||
\(553\) | −5.00082 | + | 2.54805i | −0.212657 | + | 0.108354i | ||||
\(554\) | 9.03010 | − | 22.0321i | 0.383652 | − | 0.936055i | ||||
\(555\) | −14.5484 | + | 37.1428i | −0.617547 | + | 1.57662i | ||||
\(556\) | −30.5763 | + | 5.07636i | −1.29672 | + | 0.215286i | ||||
\(557\) | −13.0777 | + | 17.9999i | −0.554120 | + | 0.762680i | −0.990564 | − | 0.137051i | \(-0.956238\pi\) |
0.436444 | + | 0.899731i | \(0.356238\pi\) | |||||||
\(558\) | −31.5884 | + | 13.2223i | −1.33724 | + | 0.559743i | ||||
\(559\) | −2.03287 | − | 0.321976i | −0.0859814 | − | 0.0136181i | ||||
\(560\) | −4.45892 | − | 9.80094i | −0.188424 | − | 0.414165i | ||||
\(561\) | 6.40314 | + | 3.26256i | 0.270341 | + | 0.137746i | ||||
\(562\) | 17.4344 | − | 10.7732i | 0.735424 | − | 0.454441i | ||||
\(563\) | 8.70325 | + | 6.32328i | 0.366798 | + | 0.266495i | 0.755882 | − | 0.654708i | \(-0.227208\pi\) |
−0.389084 | + | 0.921202i | \(0.627208\pi\) | |||||||
\(564\) | −26.3430 | + | 26.7381i | −1.10924 | + | 1.12588i | ||||
\(565\) | −1.76022 | + | 29.7178i | −0.0740532 | + | 1.25024i | ||||
\(566\) | −13.0598 | − | 11.0703i | −0.548944 | − | 0.465321i | ||||
\(567\) | 32.8511 | + | 10.6740i | 1.37962 | + | 0.448265i | ||||
\(568\) | 13.2337 | − | 1.19030i | 0.555273 | − | 0.0499438i | ||||
\(569\) | −7.86210 | + | 5.71215i | −0.329596 | + | 0.239466i | −0.740259 | − | 0.672321i | \(-0.765297\pi\) |
0.410663 | + | 0.911787i | \(0.365297\pi\) | |||||||
\(570\) | 10.6589 | − | 35.5809i | 0.446453 | − | 1.49032i | ||||
\(571\) | −0.904667 | − | 0.904667i | −0.0378591 | − | 0.0378591i | 0.687924 | − | 0.725783i | \(-0.258522\pi\) |
−0.725783 | + | 0.687924i | \(0.758522\pi\) | |||||||
\(572\) | −8.53834 | + | 11.9378i | −0.357006 | + | 0.499146i | ||||
\(573\) | −28.0076 | + | 28.0076i | −1.17004 | + | 1.17004i | ||||
\(574\) | −8.21270 | − | 7.16871i | −0.342792 | − | 0.299216i | ||||
\(575\) | −13.7758 | + | 10.8485i | −0.574490 | + | 0.452412i | ||||
\(576\) | −61.9931 | − | 8.40468i | −2.58304 | − | 0.350195i | ||||
\(577\) | −29.2521 | −1.21778 | −0.608890 | − | 0.793254i | \(-0.708385\pi\) | ||||
−0.608890 | + | 0.793254i | \(0.708385\pi\) | |||||||
\(578\) | 5.38108 | − | 22.7870i | 0.223823 | − | 0.947815i | ||||
\(579\) | 44.5461 | + | 61.3124i | 1.85127 | + | 2.54806i | ||||
\(580\) | −45.5518 | + | 4.81717i | −1.89144 | + | 0.200022i | ||||
\(581\) | 5.79853 | + | 11.3803i | 0.240563 | + | 0.472132i | ||||
\(582\) | 6.21267 | + | 75.3535i | 0.257523 | + | 3.12350i | ||||
\(583\) | 7.23830 | − | 7.23830i | 0.299780 | − | 0.299780i | ||||
\(584\) | 6.17065 | − | 5.39052i | 0.255343 | − | 0.223061i | ||||
\(585\) | −3.82599 | − | 38.9486i | −0.158185 | − | 1.61033i | ||||
\(586\) | 0.0367096 | − | 0.155453i | 0.00151646 | − | 0.00642169i | ||||
\(587\) | 29.1723 | − | 9.47864i | 1.20407 | − | 0.391225i | 0.362812 | − | 0.931862i | \(-0.381817\pi\) |
0.841256 | + | 0.540637i | \(0.181817\pi\) | |||||||
\(588\) | −5.44394 | + | 36.1090i | −0.224504 | + | 1.48911i | ||||
\(589\) | −1.72965 | + | 10.9206i | −0.0712691 | + | 0.449975i | ||||
\(590\) | 36.3919 | + | 17.4959i | 1.49823 | + | 0.720295i | ||||
\(591\) | 36.1303 | − | 5.72248i | 1.48620 | − | 0.235391i | ||||
\(592\) | 15.1096 | − | 15.5662i | 0.621001 | − | 0.639768i | ||||
\(593\) | 4.21735 | − | 12.9797i | 0.173186 | − | 0.533011i | −0.826360 | − | 0.563142i | \(-0.809593\pi\) |
0.999546 | + | 0.0301312i | \(0.00959251\pi\) | |||||||
\(594\) | 27.8818 | − | 68.0274i | 1.14400 | − | 2.79120i | ||||
\(595\) | 0.718370 | + | 1.64348i | 0.0294503 | + | 0.0673762i | ||||
\(596\) | 20.8165 | − | 6.93539i | 0.852677 | − | 0.284085i | ||||
\(597\) | 2.86736 | − | 5.62751i | 0.117353 | − | 0.230319i | ||||
\(598\) | 7.17744 | − | 8.46730i | 0.293507 | − | 0.346254i | ||||
\(599\) | 13.6280 | − | 41.9427i | 0.556825 | − | 1.71373i | −0.134248 | − | 0.990948i | \(-0.542862\pi\) |
0.691074 | − | 0.722784i | \(-0.257138\pi\) | |||||||
\(600\) | 22.2966 | − | 40.8273i | 0.910255 | − | 1.66677i | ||||
\(601\) | −21.4047 | − | 21.4047i | −0.873117 | − | 0.873117i | 0.119694 | − | 0.992811i | \(-0.461809\pi\) |
−0.992811 | + | 0.119694i | \(0.961809\pi\) | |||||||
\(602\) | −0.371156 | − | 1.52102i | −0.0151272 | − | 0.0619921i | ||||
\(603\) | 70.7339 | − | 51.3912i | 2.88051 | − | 2.09281i | ||||
\(604\) | 33.7582 | − | 0.251242i | 1.37360 | − | 0.0102229i | ||||
\(605\) | 0.0544335 | + | 0.554134i | 0.00221304 | + | 0.0225287i | ||||
\(606\) | −15.6202 | − | 1.17087i | −0.634527 | − | 0.0475633i | ||||
\(607\) | −0.888786 | − | 5.61158i | −0.0360747 | − | 0.227767i | 0.963063 | − | 0.269275i | \(-0.0867839\pi\) |
−0.999138 | + | 0.0415077i | \(0.986784\pi\) | |||||||
\(608\) | −12.8305 | + | 15.6012i | −0.520344 | + | 0.632712i | ||||
\(609\) | −36.1388 | − | 18.4136i | −1.46442 | − | 0.746157i | ||||
\(610\) | 1.81753 | − | 0.979598i | 0.0735895 | − | 0.0396628i | ||||
\(611\) | 7.50577 | + | 10.3308i | 0.303651 | + | 0.417940i | ||||
\(612\) | 10.3046 | + | 1.55357i | 0.416539 | + | 0.0627993i | ||||
\(613\) | 14.8914 | − | 29.2261i | 0.601460 | − | 1.18043i | −0.366757 | − | 0.930317i | \(-0.619532\pi\) |
0.968216 | − | 0.250114i | \(-0.0804681\pi\) | |||||||
\(614\) | 17.9068 | + | 1.34227i | 0.722659 | + | 0.0541695i | ||||
\(615\) | 3.46569 | − | 46.9691i | 0.139750 | − | 1.89398i | ||||
\(616\) | −10.8845 | − | 2.48496i | −0.438549 | − | 0.100122i | ||||
\(617\) | −11.2259 | − | 5.71989i | −0.451938 | − | 0.230274i | 0.213179 | − | 0.977013i | \(-0.431618\pi\) |
−0.665117 | + | 0.746739i | \(0.731618\pi\) | |||||||
\(618\) | −6.05679 | + | 80.8018i | −0.243640 | + | 3.25033i | ||||
\(619\) | 12.8250 | − | 9.31793i | 0.515482 | − | 0.374519i | −0.299417 | − | 0.954122i | \(-0.596792\pi\) |
0.814899 | + | 0.579603i | \(0.196792\pi\) | |||||||
\(620\) | −4.95428 | + | 12.9311i | −0.198969 | + | 0.519325i | ||||
\(621\) | −25.2427 | + | 49.5416i | −1.01295 | + | 1.98803i | ||||
\(622\) | 25.1911 | + | 10.3249i | 1.01007 | + | 0.413989i | ||||
\(623\) | 0.0160011 | − | 0.00253433i | 0.000641072 | − | 0.000101536i | ||||
\(624\) | −8.68212 | + | 28.1392i | −0.347563 | + | 1.12647i | ||||
\(625\) | 16.2166 | + | 19.0268i | 0.648665 | + | 0.761074i | ||||
\(626\) | 9.34494 | − | 0.770463i | 0.373499 | − | 0.0307939i | ||||
\(627\) | −22.6372 | − | 31.1574i | −0.904041 | − | 1.24431i | ||||
\(628\) | 35.2684 | − | 5.85536i | 1.40736 | − | 0.233654i | ||||
\(629\) | −2.55522 | + | 2.55522i | −0.101883 | + | 0.101883i | ||||
\(630\) | 26.2061 | − | 14.1244i | 1.04408 | − | 0.562729i | ||||
\(631\) | −31.1163 | − | 10.1103i | −1.23872 | − | 0.402484i | −0.384854 | − | 0.922978i | \(-0.625748\pi\) |
−0.853866 | + | 0.520493i | \(0.825748\pi\) | |||||||
\(632\) | 8.67542 | + | 9.93095i | 0.345090 | + | 0.395032i | ||||
\(633\) | −41.3429 | − | 21.0653i | −1.64323 | − | 0.837270i | ||||
\(634\) | −2.58011 | − | 6.16396i | −0.102469 | − | 0.244802i | ||||
\(635\) | −39.1185 | − | 15.3223i | −1.55237 | − | 0.608047i | ||||
\(636\) | 9.18789 | − | 18.3689i | 0.364324 | − | 0.728376i | ||||
\(637\) | 11.8152 | + | 3.83900i | 0.468136 | + | 0.152107i | ||||
\(638\) | −24.6650 | + | 40.5879i | −0.976499 | + | 1.60689i | ||||
\(639\) | 5.74679 | + | 36.2838i | 0.227340 | + | 1.43537i | ||||
\(640\) | −19.7703 | + | 15.7840i | −0.781491 | + | 0.623916i | ||||
\(641\) | 0.268588 | + | 0.0425401i | 0.0106086 | + | 0.00168023i | 0.161736 | − | 0.986834i | \(-0.448291\pi\) |
−0.151128 | + | 0.988514i | \(0.548291\pi\) | |||||||
\(642\) | −4.98995 | + | 66.5694i | −0.196938 | + | 2.62728i | ||||
\(643\) | −0.255199 | − | 0.785422i | −0.0100641 | − | 0.0309740i | 0.945898 | − | 0.324463i | \(-0.105184\pi\) |
−0.955962 | + | 0.293489i | \(0.905184\pi\) | |||||||
\(644\) | 8.04954 | + | 2.54938i | 0.317196 | + | 0.100460i | ||||
\(645\) | 4.29240 | − | 5.22757i | 0.169013 | − | 0.205835i | ||||
\(646\) | 2.17570 | − | 2.56670i | 0.0856017 | − | 0.100985i | ||||
\(647\) | −22.9749 | − | 22.9749i | −0.903236 | − | 0.903236i | 0.0924785 | − | 0.995715i | \(-0.470521\pi\) |
−0.995715 | + | 0.0924785i | \(0.970521\pi\) | |||||||
\(648\) | 5.46382 | − | 80.9711i | 0.214639 | − | 3.18085i | ||||
\(649\) | 37.3046 | − | 19.0077i | 1.46434 | − | 0.746116i | ||||
\(650\) | −12.4597 | − | 9.75783i | −0.488710 | − | 0.382733i | ||||
\(651\) | −9.91986 | + | 7.20720i | −0.388790 | + | 0.282473i | ||||
\(652\) | −7.02798 | + | 22.1905i | −0.275237 | + | 0.869046i | ||||
\(653\) | 31.9818i | 1.25155i | 0.780006 | + | 0.625773i | \(0.215216\pi\) | ||||
−0.780006 | + | 0.625773i | \(0.784784\pi\) | |||||||
\(654\) | 8.34968 | − | 2.03747i | 0.326498 | − | 0.0796714i | ||||
\(655\) | 25.1128 | − | 22.3042i | 0.981239 | − | 0.871499i | ||||
\(656\) | −11.6189 | + | 22.8255i | −0.453640 | + | 0.891185i | ||||
\(657\) | 16.0185 | + | 16.0185i | 0.624941 | + | 0.624941i | ||||
\(658\) | −5.04448 | + | 8.30103i | −0.196654 | + | 0.323608i | ||||
\(659\) | 17.6120 | − | 17.6120i | 0.686066 | − | 0.686066i | −0.275294 | − | 0.961360i | \(-0.588775\pi\) |
0.961360 | + | 0.275294i | \(0.0887752\pi\) | |||||||
\(660\) | −19.6467 | − | 44.0514i | −0.764748 | − | 1.71470i | ||||
\(661\) | 22.8024 | + | 31.3848i | 0.886910 | + | 1.22073i | 0.974459 | + | 0.224566i | \(0.0720966\pi\) |
−0.0875489 | + | 0.996160i | \(0.527903\pi\) | |||||||
\(662\) | −1.16090 | − | 4.75743i | −0.0451195 | − | 0.184903i | ||||
\(663\) | 1.51584 | − | 4.66529i | 0.0588705 | − | 0.181185i | ||||
\(664\) | 22.5996 | − | 19.7424i | 0.877036 | − | 0.766156i | ||||
\(665\) | 0.568345 | − | 9.59537i | 0.0220395 | − | 0.372092i | ||||
\(666\) | 45.7523 | + | 38.7827i | 1.77287 | + | 1.50280i | ||||
\(667\) | 21.1130 | − | 29.0596i | 0.817499 | − | 1.12519i | ||||
\(668\) | −20.1559 | + | 10.4596i | −0.779856 | + | 0.404695i | ||||
\(669\) | 26.9462 | − | 52.8849i | 1.04180 | − | 2.04465i | ||||
\(670\) | 4.72285 | − | 35.0390i | 0.182460 | − | 1.35368i | ||||
\(671\) | 0.334900 | − | 2.11448i | 0.0129287 | − | 0.0816284i | ||||
\(672\) | −22.2951 | + | 2.17270i | −0.860051 | + | 0.0838139i | ||||
\(673\) | −16.0700 | − | 11.6756i | −0.619455 | − | 0.450060i | 0.233276 | − | 0.972411i | \(-0.425055\pi\) |
−0.852731 | + | 0.522350i | \(0.825055\pi\) | |||||||
\(674\) | −0.115009 | + | 0.0280642i | −0.00442998 | + | 0.00108099i | ||||
\(675\) | 71.9755 | + | 33.2261i | 2.77034 | + | 1.27887i | ||||
\(676\) | −14.2933 | − | 7.14932i | −0.549743 | − | 0.274974i | ||||
\(677\) | −10.6252 | − | 20.8532i | −0.408361 | − | 0.801453i | 0.591628 | − | 0.806211i | \(-0.298485\pi\) |
−0.999989 | + | 0.00475812i | \(0.998485\pi\) | |||||||
\(678\) | 57.3064 | + | 23.4876i | 2.20084 | + | 0.902038i | ||||
\(679\) | 6.04644 | + | 18.6090i | 0.232041 | + | 0.714149i | ||||
\(680\) | 3.33204 | − | 2.57993i | 0.127778 | − | 0.0989359i | ||||
\(681\) | −15.7711 | + | 48.5384i | −0.604349 | + | 1.86000i | ||||
\(682\) | 7.54766 | + | 12.2144i | 0.289015 | + | 0.467714i | ||||
\(683\) | 25.3108i | 0.968489i | 0.874933 | + | 0.484245i | \(0.160905\pi\) | ||||
−0.874933 | + | 0.484245i | \(0.839095\pi\) | |||||||
\(684\) | −45.4245 | − | 32.4891i | −1.73685 | − | 1.24225i | ||||
\(685\) | −12.5976 | − | 2.76740i | −0.481330 | − | 0.105737i | ||||
\(686\) | 1.75574 | + | 21.2954i | 0.0670345 | + | 0.813062i | ||||
\(687\) | 42.8807 | − | 6.79163i | 1.63600 | − | 0.259117i | ||||
\(688\) | −3.25232 | + | 1.71859i | −0.123993 | + | 0.0655205i | ||||
\(689\) | −5.65287 | − | 4.10705i | −0.215357 | − | 0.156466i | ||||
\(690\) | 12.0708 | + | 34.4237i | 0.459529 | + | 1.31049i | ||||
\(691\) | −28.6000 | − | 14.5724i | −1.08800 | − | 0.554361i | −0.184445 | − | 0.982843i | \(-0.559049\pi\) |
−0.903551 | + | 0.428481i | \(0.859049\pi\) | |||||||
\(692\) | −0.880255 | + | 2.77936i | −0.0334623 | + | 0.105655i | ||||
\(693\) | 4.82878 | − | 30.4877i | 0.183430 | − | 1.15813i | ||||
\(694\) | −3.79765 | + | 3.26802i | −0.144157 | + | 0.124052i | ||||
\(695\) | −29.8921 | − | 17.5304i | −1.13387 | − | 0.664965i | ||||
\(696\) | −21.2101 | + | 92.9035i | −0.803968 | + | 3.52150i | ||||
\(697\) | 1.99181 | − | 3.77296i | 0.0754450 | − | 0.142911i | ||||
\(698\) | 20.6453 | − | 17.7661i | 0.781437 | − | 0.672455i | ||||
\(699\) | −43.4973 | + | 14.1331i | −1.64522 | + | 0.534565i | ||||
\(700\) | 3.18739 | − | 11.6089i | 0.120472 | − | 0.438774i | ||||
\(701\) | −27.5926 | + | 20.0472i | −1.04216 | + | 0.757172i | −0.970705 | − | 0.240273i | \(-0.922763\pi\) |
−0.0714517 | + | 0.997444i | \(0.522763\pi\) | |||||||
\(702\) | −48.8403 | − | 11.5335i | −1.84336 | − | 0.435303i | ||||
\(703\) | 18.4179 | − | 5.98435i | 0.694645 | − | 0.225704i | ||||
\(704\) | 0.585604 | + | 26.2244i | 0.0220708 | + | 0.988370i | ||||
\(705\) | −41.7644 | + | 4.10259i | −1.57294 | + | 0.154512i | ||||
\(706\) | −0.0521027 | + | 0.695086i | −0.00196091 | + | 0.0261599i | ||||
\(707\) | −4.00375 | + | 0.634131i | −0.150576 | + | 0.0238489i | ||||
\(708\) | 58.9563 | − | 59.8405i | 2.21572 | − | 2.24894i | ||||
\(709\) | 3.65116 | + | 0.578288i | 0.137122 | + | 0.0217181i | 0.224618 | − | 0.974447i | \(-0.427886\pi\) |
−0.0874959 | + | 0.996165i | \(0.527886\pi\) | |||||||
\(710\) | 12.2168 | + | 8.45189i | 0.458487 | + | 0.317194i | ||||
\(711\) | −25.7799 | + | 25.7799i | −0.966822 | + | 0.966822i | ||||
\(712\) | −0.0149578 | − | 0.0350009i | −0.000560566 | − | 0.00131171i | ||||
\(713\) | −4.92985 | − | 9.67538i | −0.184624 | − | 0.362346i | ||||
\(714\) | 3.71881 | − | 0.306605i | 0.139173 | − | 0.0114744i | ||||
\(715\) | −15.8788 | + | 4.13916i | −0.593834 | + | 0.154796i | ||||
\(716\) | −13.9458 | − | 41.8582i | −0.521179 | − | 1.56431i | ||||
\(717\) | −1.55382 | − | 3.04955i | −0.0580286 | − | 0.113888i | ||||
\(718\) | −18.0709 | − | 43.1718i | −0.674398 | − | 1.61116i | ||||
\(719\) | 15.2548 | − | 7.77271i | 0.568908 | − | 0.289873i | −0.145779 | − | 0.989317i | \(-0.546569\pi\) |
0.714687 | + | 0.699444i | \(0.246569\pi\) | |||||||
\(720\) | −47.2205 | − | 51.5989i | −1.75981 | − | 1.92298i | ||||
\(721\) | 3.28030 | + | 20.7110i | 0.122165 | + | 0.771318i | ||||
\(722\) | 8.15263 | − | 3.41253i | 0.303409 | − | 0.127001i | ||||
\(723\) | −39.2361 | − | 54.0039i | −1.45921 | − | 2.00843i | ||||
\(724\) | 24.0304 | − | 17.7338i | 0.893082 | − | 0.659072i | ||||
\(725\) | −42.5670 | − | 28.4740i | −1.58090 | − | 1.05750i | ||||
\(726\) | 1.12735 | + | 0.266221i | 0.0418400 | + | 0.00988038i | ||||
\(727\) | −25.1723 | + | 34.6467i | −0.933588 | + | 1.28497i | 0.0248559 | + | 0.999691i | \(0.492087\pi\) |
−0.958444 | + | 0.285282i | \(0.907913\pi\) | |||||||
\(728\) | −0.513075 | + | 7.60352i | −0.0190158 | + | 0.281805i | ||||
\(729\) | 67.9194 | 2.51553 | ||||||||
\(730\) | 9.15825 | − | 0.211583i | 0.338962 | − | 0.00783102i | ||||
\(731\) | 0.545961 | − | 0.278181i | 0.0201931 | − | 0.0102889i | ||||
\(732\) | −0.703502 | − | 4.23739i | −0.0260022 | − | 0.156618i | ||||
\(733\) | −30.5515 | − | 4.83888i | −1.12844 | − | 0.178728i | −0.435825 | − | 0.900032i | \(-0.643543\pi\) |
−0.692619 | + | 0.721304i | \(0.743543\pi\) | |||||||
\(734\) | −22.3835 | + | 13.8314i | −0.826189 | + | 0.510528i | ||||
\(735\) | −30.5257 | + | 27.1118i | −1.12596 | + | 1.00003i | ||||
\(736\) | 1.18827 | − | 19.8025i | 0.0438002 | − | 0.729930i | ||||
\(737\) | −25.9221 | − | 25.9221i | −0.954854 | − | 0.954854i | ||||
\(738\) | −65.1273 | − | 27.8021i | −2.39737 | − | 1.02341i | ||||
\(739\) | −40.5634 | −1.49215 | −0.746074 | − | 0.665864i | \(-0.768063\pi\) | ||||
−0.746074 | + | 0.665864i | \(0.768063\pi\) | |||||||
\(740\) | 24.1196 | − | 2.55068i | 0.886653 | − | 0.0937648i | ||||
\(741\) | −18.5887 | + | 18.5887i | −0.682871 | + | 0.682871i | ||||
\(742\) | 1.22155 | − | 5.17286i | 0.0448447 | − | 0.189902i | ||||
\(743\) | −0.638530 | + | 4.03152i | −0.0234254 | + | 0.147902i | −0.996629 | − | 0.0820443i | \(-0.973855\pi\) |
0.973203 | + | 0.229946i | \(0.0738551\pi\) | |||||||
\(744\) | 22.1137 | + | 18.4639i | 0.810726 | + | 0.676920i | ||||
\(745\) | 22.8416 | + | 8.94680i | 0.836851 | + | 0.327785i | ||||
\(746\) | −31.1754 | + | 36.7780i | −1.14141 | + | 1.34654i | ||||
\(747\) | 58.6667 | + | 58.6667i | 2.14650 | + | 2.14650i | ||||
\(748\) | −0.0325184 | − | 4.36934i | −0.00118899 | − | 0.159759i | ||||
\(749\) | 2.70251 | + | 17.0630i | 0.0987474 | + | 0.623467i | ||||
\(750\) | 48.3761 | − | 19.0988i | 1.76644 | − | 0.697388i | ||||
\(751\) | 1.50677 | − | 2.95720i | 0.0549828 | − | 0.107910i | −0.861880 | − | 0.507112i | \(-0.830713\pi\) |
0.916863 | + | 0.399202i | \(0.130713\pi\) | |||||||
\(752\) | 21.8075 | + | 6.72853i | 0.795238 | + | 0.245364i | ||||
\(753\) | −76.1306 | + | 55.3122i | −2.77436 | + | 2.01569i | ||||
\(754\) | 29.9976 | + | 12.2948i | 1.09245 | + | 0.447751i | ||||
\(755\) | 29.1703 | + | 23.9520i | 1.06161 | + | 0.871702i | ||||
\(756\) | −6.25214 | − | 37.6584i | −0.227388 | − | 1.36962i | ||||
\(757\) | 35.3756 | + | 11.4942i | 1.28575 | + | 0.417765i | 0.870602 | − | 0.491989i | \(-0.163730\pi\) |
0.415148 | + | 0.909754i | \(0.363730\pi\) | |||||||
\(758\) | −20.1339 | − | 48.1006i | −0.731298 | − | 1.74709i | ||||
\(759\) | 35.9725 | + | 11.6882i | 1.30572 | + | 0.424253i | ||||
\(760\) | −22.1874 | + | 4.21235i | −0.804820 | + | 0.152798i | ||||
\(761\) | −6.39414 | − | 19.6791i | −0.231787 | − | 0.713368i | −0.997531 | − | 0.0702227i | \(-0.977629\pi\) |
0.765744 | − | 0.643146i | \(-0.222371\pi\) | |||||||
\(762\) | −56.5152 | + | 66.6716i | −2.04733 | + | 2.41526i | ||||
\(763\) | 1.98177 | − | 1.00976i | 0.0717449 | − | 0.0365559i | ||||
\(764\) | 22.9589 | + | 7.27134i | 0.830623 | + | 0.263068i | ||||
\(765\) | 7.73703 | + | 8.71129i | 0.279733 | + | 0.314957i | ||||
\(766\) | −15.5282 | + | 25.5526i | −0.561056 | + | 0.923254i | ||||
\(767\) | −16.7981 | − | 23.1206i | −0.606545 | − | 0.834837i | ||||
\(768\) | 17.7462 | + | 49.5479i | 0.640362 | + | 1.78791i | ||||
\(769\) | 14.2535 | − | 19.6183i | 0.513995 | − | 0.707454i | −0.470591 | − | 0.882351i | \(-0.655959\pi\) |
0.984587 | + | 0.174898i | \(0.0559594\pi\) | |||||||
\(770\) | −7.56823 | − | 9.92629i | −0.272740 | − | 0.357718i | ||||
\(771\) | −33.6755 | − | 24.4667i | −1.21279 | − | 0.881145i | ||||
\(772\) | 20.6135 | − | 41.2116i | 0.741895 | − | 1.48324i | ||||
\(773\) | 5.04757 | + | 15.5348i | 0.181549 | + | 0.558749i | 0.999872 | − | 0.0160092i | \(-0.00509610\pi\) |
−0.818323 | + | 0.574758i | \(0.805096\pi\) | |||||||
\(774\) | −5.34615 | − | 8.65169i | −0.192163 | − | 0.310979i | ||||
\(775\) | −13.5120 | + | 7.55796i | −0.485366 | + | 0.271490i | ||||
\(776\) | 38.9267 | − | 24.4562i | 1.39739 | − | 0.877927i | ||||
\(777\) | 19.1354 | + | 9.74996i | 0.686478 | + | 0.349778i | ||||
\(778\) | −22.4394 | + | 19.3099i | −0.804490 | + | 0.692293i | ||||
\(779\) | −18.6904 | + | 13.1698i | −0.669652 | + | 0.471857i | ||||
\(780\) | −27.6009 | + | 17.9494i | −0.988272 | + | 0.642691i | ||||
\(781\) | 14.6493 | − | 4.75983i | 0.524192 | − | 0.170320i | ||||
\(782\) | −0.247013 | + | 3.29532i | −0.00883315 | + | 0.117840i | ||||
\(783\) | −160.394 | − | 25.4040i | −5.73203 | − | 0.907864i | ||||
\(784\) | 21.0118 | − | 7.17463i | 0.750423 | − | 0.256237i | ||||
\(785\) | 34.4792 | + | 20.2205i | 1.23062 | + | 0.721702i | ||||
\(786\) | −26.9802 | − | 64.4565i | −0.962351 | − | 2.29909i | ||||
\(787\) | −3.96799 | − | 25.0529i | −0.141444 | − | 0.893040i | −0.951714 | − | 0.306985i | \(-0.900680\pi\) |
0.810271 | − | 0.586056i | \(-0.199320\pi\) | |||||||
\(788\) | −13.2069 | − | 17.8961i | −0.470476 | − | 0.637522i | ||||
\(789\) | −46.9207 | + | 64.5808i | −1.67042 | + | 2.29914i | ||||
\(790\) | 0.340518 | + | 14.7391i | 0.0121151 | + | 0.524395i | ||||
\(791\) | 15.8302 | + | 2.50725i | 0.562855 | + | 0.0891475i | ||||
\(792\) | −72.2317 | + | 6.49685i | −2.56664 | + | 0.230855i | ||||
\(793\) | −1.46131 | −0.0518926 | ||||||||
\(794\) | 3.00529 | − | 12.7264i | 0.106654 | − | 0.451642i | ||||
\(795\) | 21.0407 | − | 9.19694i | 0.746236 | − | 0.326182i | ||||
\(796\) | −3.84007 | + | 0.0285793i | −0.136108 | + | 0.00101297i | ||||
\(797\) | −0.904827 | + | 1.77582i | −0.0320506 | + | 0.0629028i | −0.906477 | − | 0.422256i | \(-0.861238\pi\) |
0.874426 | + | 0.485159i | \(0.161238\pi\) | |||||||
\(798\) | −18.5032 | − | 7.58375i | −0.655007 | − | 0.268462i | ||||
\(799\) | −3.61554 | − | 1.17476i | −0.127909 | − | 0.0415600i | ||||
\(800\) | −28.2779 | − | 0.598980i | −0.999776 | − | 0.0211771i | ||||
\(801\) | 0.0937665 | − | 0.0477764i | 0.00331308 | − | 0.00168810i | ||||
\(802\) | −21.5793 | + | 35.5101i | −0.761990 | + | 1.25390i | ||||
\(803\) | 5.58305 | − | 7.68440i | 0.197021 | − | 0.271177i | ||||
\(804\) | −65.7837 | − | 32.9041i | −2.32001 | − | 1.16044i | ||||
\(805\) | 5.08755 | + | 7.95204i | 0.179312 | + | 0.280272i | ||||
\(806\) | 7.42883 | − | 6.39278i | 0.261669 | − | 0.225176i | ||||
\(807\) | 2.19190 | − | 0.712193i | 0.0771587 | − | 0.0250704i | ||||
\(808\) | 3.74267 | + | 8.75779i | 0.131667 | + | 0.308098i | ||||
\(809\) | −4.29045 | − | 27.0888i | −0.150844 | − | 0.952392i | −0.940734 | − | 0.339144i | \(-0.889863\pi\) |
0.789890 | − | 0.613248i | \(-0.210137\pi\) | |||||||
\(810\) | 62.6599 | − | 65.6236i | 2.20164 | − | 2.30578i | ||||
\(811\) | 26.0890 | 0.916109 | 0.458055 | − | 0.888924i | \(-0.348546\pi\) | ||||
0.458055 | + | 0.888924i | \(0.348546\pi\) | |||||||
\(812\) | 0.183531 | + | 24.6602i | 0.00644067 | + | 0.865403i | ||||
\(813\) | −40.0773 | − | 13.0219i | −1.40557 | − | 0.456698i | ||||
\(814\) | 13.0601 | − | 21.4912i | 0.457755 | − | 0.753266i | ||||
\(815\) | −21.9217 | + | 14.0250i | −0.767883 | + | 0.491276i | ||||
\(816\) | −2.83293 | − | 8.29661i | −0.0991725 | − | 0.290439i | ||||
\(817\) | −3.28376 | −0.114884 | ||||||||
\(818\) | 1.87876 | − | 3.09162i | 0.0656892 | − | 0.108096i | ||||
\(819\) | −21.0700 | −0.736245 | ||||||||
\(820\) | −26.3188 | + | 11.2837i | −0.919091 | + | 0.394044i | ||||
\(821\) | −4.63363 | −0.161715 | −0.0808573 | − | 0.996726i | \(-0.525766\pi\) | ||||
−0.0808573 | + | 0.996726i | \(0.525766\pi\) | |||||||
\(822\) | −13.9349 | + | 22.9308i | −0.486035 | + | 0.799803i | ||||
\(823\) | −0.172990 | −0.00603003 | −0.00301502 | − | 0.999995i | \(-0.500960\pi\) | ||||
−0.00301502 | + | 0.999995i | \(0.500960\pi\) | |||||||
\(824\) | 45.3032 | − | 19.3605i | 1.57821 | − | 0.674455i | ||||
\(825\) | 14.6647 | − | 51.8950i | 0.510561 | − | 1.80675i | ||||
\(826\) | 11.2897 | − | 18.5779i | 0.392818 | − | 0.646408i | ||||
\(827\) | −40.5710 | − | 13.1823i | −1.41079 | − | 0.458394i | −0.498128 | − | 0.867103i | \(-0.665979\pi\) |
−0.912665 | + | 0.408709i | \(0.865979\pi\) | |||||||
\(828\) | 54.8468 | − | 0.408192i | 1.90606 | − | 0.0141856i | ||||
\(829\) | −44.4426 | −1.54356 | −0.771778 | − | 0.635892i | \(-0.780632\pi\) | ||||
−0.771778 | + | 0.635892i | \(0.780632\pi\) | |||||||
\(830\) | 33.5415 | − | 0.774908i | 1.16424 | − | 0.0268975i | ||||
\(831\) | −8.66376 | − | 54.7009i | −0.300543 | − | 1.89755i | ||||
\(832\) | 17.6176 | − | 3.19506i | 0.610781 | − | 0.110769i | ||||
\(833\) | −3.51748 | + | 1.14290i | −0.121873 | + | 0.0395991i | ||||
\(834\) | −54.6448 | + | 47.0239i | −1.89219 | + | 1.62830i | ||||
\(835\) | −24.7973 | − | 5.44739i | −0.858146 | − | 0.188515i | ||||
\(836\) | −10.4752 | + | 20.9427i | −0.362293 | + | 0.724317i | ||||
\(837\) | −28.8565 | + | 39.7176i | −0.997427 | + | 1.37284i | ||||
\(838\) | −16.1491 | + | 26.5744i | −0.557862 | + | 0.917999i | ||||
\(839\) | −20.0330 | + | 10.2073i | −0.691615 | + | 0.352395i | −0.764211 | − | 0.644966i | \(-0.776871\pi\) |
0.0725966 | + | 0.997361i | \(0.476871\pi\) | |||||||
\(840\) | −20.7017 | − | 14.0953i | −0.714276 | − | 0.486336i | ||||
\(841\) | 72.1935 | + | 23.4571i | 2.48943 | + | 0.808865i | ||||
\(842\) | −14.9240 | − | 6.11675i | −0.514314 | − | 0.210797i | ||||
\(843\) | 21.6412 | − | 42.4732i | 0.745361 | − | 1.46285i | ||||
\(844\) | 0.209960 | + | 28.2114i | 0.00722713 | + | 0.971076i | ||||
\(845\) | −7.15636 | − | 16.3723i | −0.246186 | − | 0.563223i | ||||
\(846\) | −14.5015 | + | 61.4090i | −0.498573 | + | 2.11129i | ||||
\(847\) | 0.299769 | 0.0103002 | ||||||||
\(848\) | −12.4865 | + | 0.185869i | −0.428787 | + | 0.00638276i | ||||
\(849\) | −39.3310 | − | 6.22942i | −1.34984 | − | 0.213793i | ||||
\(850\) | 4.70843 | + | 0.169875i | 0.161498 | + | 0.00582667i | ||||
\(851\) | −11.1793 | + | 15.3870i | −0.383221 | + | 0.527458i | ||||
\(852\) | 24.8668 | − | 18.3511i | 0.851923 | − | 0.628698i | ||||
\(853\) | −3.31324 | − | 20.9190i | −0.113443 | − | 0.716252i | −0.977196 | − | 0.212337i | \(-0.931893\pi\) |
0.863753 | − | 0.503915i | \(-0.168107\pi\) | |||||||
\(854\) | −0.429207 | − | 1.02539i | −0.0146872 | − | 0.0350881i | ||||
\(855\) | −15.7499 | − | 60.4203i | −0.538634 | − | 2.06633i | ||||
\(856\) | 37.3235 | − | 15.9503i | 1.27569 | − | 0.545171i | ||||
\(857\) | 27.4913 | + | 4.35420i | 0.939086 | + | 0.148737i | 0.607170 | − | 0.794572i | \(-0.292305\pi\) |
0.331916 | + | 0.943309i | \(0.392305\pi\) | |||||||
\(858\) | −2.55177 | + | 34.0424i | −0.0871161 | + | 1.16219i | ||||
\(859\) | 16.3031 | − | 5.29719i | 0.556254 | − | 0.180738i | −0.0173809 | − | 0.999849i | \(-0.505533\pi\) |
0.573635 | + | 0.819111i | \(0.305533\pi\) | |||||||
\(860\) | −4.02332 | − | 0.852493i | −0.137194 | − | 0.0290698i | ||||
\(861\) | −24.9836 | − | 4.32901i | −0.851438 | − | 0.147532i | ||||
\(862\) | 31.3127 | − | 26.9457i | 1.06651 | − | 0.917775i | ||||
\(863\) | −15.1617 | − | 7.72527i | −0.516110 | − | 0.262971i | 0.176478 | − | 0.984305i | \(-0.443530\pi\) |
−0.692588 | + | 0.721333i | \(0.743530\pi\) | |||||||
\(864\) | −82.2088 | + | 35.8581i | −2.79680 | + | 1.21992i | ||||
\(865\) | −2.74569 | + | 1.75664i | −0.0933563 | + | 0.0597274i | ||||
\(866\) | −27.3421 | − | 44.2479i | −0.929124 | − | 1.50360i | ||||
\(867\) | −16.8288 | − | 51.7937i | −0.571536 | − | 1.75901i | ||||
\(868\) | 6.66771 | + | 3.33510i | 0.226317 | + | 0.113201i | ||||
\(869\) | 12.3672 | + | 8.98527i | 0.419527 | + | 0.304804i | ||||
\(870\) | −84.7247 | + | 64.5978i | −2.87244 | + | 2.19007i | ||||
\(871\) | −14.7084 | + | 20.2443i | −0.498374 | + | 0.685953i | ||||
\(872\) | −3.43797 | − | 3.93553i | −0.116424 | − | 0.133274i | ||||
\(873\) | 74.7089 | + | 102.828i | 2.52851 | + | 3.48020i | ||||
\(874\) | 9.19691 | − | 15.1341i | 0.311090 | − | 0.511919i | ||||
\(875\) | 11.0481 | − | 7.68743i | 0.373494 | − | 0.259883i | ||||
\(876\) | 5.75413 | − | 18.1684i | 0.194414 | − | 0.613852i | ||||
\(877\) | 7.63213 | − | 3.88876i | 0.257719 | − | 0.131314i | −0.320358 | − | 0.947296i | \(-0.603803\pi\) |
0.578077 | + | 0.815982i | \(0.303803\pi\) | |||||||
\(878\) | 7.31372 | − | 8.62808i | 0.246826 | − | 0.291184i | ||||
\(879\) | −0.114806 | − | 0.353335i | −0.00387230 | − | 0.0119177i | ||||
\(880\) | −18.2713 | + | 22.9399i | −0.615927 | + | 0.773303i | ||||
\(881\) | −21.1679 | − | 6.87786i | −0.713163 | − | 0.231721i | −0.0701068 | − | 0.997539i | \(-0.522334\pi\) |
−0.643057 | + | 0.765819i | \(0.722334\pi\) | |||||||
\(882\) | 23.7026 | + | 56.6261i | 0.798107 | + | 1.90670i | ||||
\(883\) | 30.7250 | + | 9.98317i | 1.03398 | + | 0.335960i | 0.776363 | − | 0.630287i | \(-0.217063\pi\) |
0.257617 | + | 0.966247i | \(0.417063\pi\) | |||||||
\(884\) | −2.94228 | + | 0.488484i | −0.0989595 | + | 0.0164295i | ||||
\(885\) | 93.4699 | − | 9.18170i | 3.14195 | − | 0.308639i | ||||
\(886\) | −16.1282 | − | 6.61030i | −0.541837 | − | 0.222078i | ||||
\(887\) | −25.2413 | + | 18.3388i | −0.847518 | + | 0.615758i | −0.924461 | − | 0.381277i | \(-0.875484\pi\) |
0.0769423 | + | 0.997036i | \(0.475484\pi\) | |||||||
\(888\) | 11.2307 | − | 49.1921i | 0.376878 | − | 1.65078i | ||||
\(889\) | −10.2686 | + | 20.1532i | −0.344397 | + | 0.675917i | ||||
\(890\) | 0.0122122 | − | 0.0407659i | 0.000409353 | − | 0.00136648i | ||||
\(891\) | −14.7173 | − | 92.9214i | −0.493048 | − | 3.11299i | ||||
\(892\) | −36.0873 | + | 0.268576i | −1.20829 | + | 0.00899259i | ||||
\(893\) | 14.4060 | + | 14.4060i | 0.482077 | + | 0.482077i | ||||
\(894\) | 32.9996 | − | 38.9300i | 1.10367 | − | 1.30201i | ||||
\(895\) | 17.9904 | − | 45.9302i | 0.601352 | − | 1.53528i | ||||
\(896\) | 7.41648 | + | 11.4237i | 0.247767 | + | 0.381638i | ||||
\(897\) | 4.03883 | − | 25.5002i | 0.134853 | − | 0.851427i | ||||
\(898\) | 2.32819 | − | 9.85910i | 0.0776928 | − | 0.329003i | ||||
\(899\) | 22.4260 | − | 22.4260i | 0.747950 | − | 0.747950i | ||||
\(900\) | −3.61139 | − | 78.1168i | −0.120380 | − | 2.60389i | ||||
\(901\) | 2.08018 | 0.0693009 | ||||||||
\(902\) | −7.24186 | + | 28.7947i | −0.241128 | + | 0.958760i | ||||
\(903\) | −2.57501 | − | 2.57501i | −0.0856908 | − | 0.0856908i | ||||
\(904\) | −3.37336 | − | 37.5049i | −0.112196 | − | 1.24739i | ||||
\(905\) | 33.3322 | + | 1.97431i | 1.10800 | + | 0.0656282i | ||||
\(906\) | 66.7978 | − | 41.2764i | 2.21921 | − | 1.37132i | ||||
\(907\) | −13.6348 | − | 2.15954i | −0.452737 | − | 0.0717064i | −0.0740978 | − | 0.997251i | \(-0.523608\pi\) |
−0.378639 | + | 0.925545i | \(0.623608\pi\) | |||||||
\(908\) | 30.6119 | − | 5.08227i | 1.01589 | − | 0.168661i | ||||
\(909\) | −23.4619 | + | 11.9544i | −0.778182 | + | 0.396504i | ||||
\(910\) | −5.88402 | + | 6.16233i | −0.195053 | + | 0.204279i | ||||
\(911\) | 19.6269 | 0.650267 | 0.325134 | − | 0.945668i | \(-0.394591\pi\) | ||||
0.325134 | + | 0.945668i | \(0.394591\pi\) | |||||||
\(912\) | −6.65823 | + | 46.5086i | −0.220476 | + | 1.54005i | ||||
\(913\) | 20.4476 | − | 28.1437i | 0.676716 | − | 0.931419i | ||||
\(914\) | −15.1915 | − | 3.58743i | −0.502492 | − | 0.118662i | ||||
\(915\) | 2.42943 | − | 4.14256i | 0.0803145 | − | 0.136949i | ||||
\(916\) | −15.6744 | − | 21.2397i | −0.517896 | − | 0.701780i | ||||
\(917\) | −10.6288 | − | 14.6294i | −0.350995 | − | 0.483104i | ||||
\(918\) | 13.7814 | − | 5.76864i | 0.454856 | − | 0.190393i | ||||
\(919\) | −0.238166 | − | 1.50372i | −0.00785637 | − | 0.0496032i | 0.983449 | − | 0.181187i | \(-0.0579938\pi\) |
−0.991305 | + | 0.131584i | \(0.957994\pi\) | |||||||
\(920\) | 15.1972 | − | 16.1550i | 0.501036 | − | 0.532615i | ||||
\(921\) | 37.2147 | − | 18.9618i | 1.22627 | − | 0.624814i | ||||
\(922\) | −9.93495 | − | 23.7349i | −0.327190 | − | 0.781667i | ||||
\(923\) | −4.77327 | − | 9.36807i | −0.157114 | − | 0.308354i | ||||
\(924\) | −24.6368 | + | 8.20817i | −0.810490 | + | 0.270029i | ||||
\(925\) | 22.5391 | + | 15.0769i | 0.741081 | + | 0.495726i | ||||
\(926\) | −1.59685 | + | 0.131655i | −0.0524757 | + | 0.00432647i | ||||
\(927\) | 61.8392 | + | 121.366i | 2.03106 | + | 3.98619i | ||||
\(928\) | 56.0780 | − | 14.5717i | 1.84085 | − | 0.478340i | ||||
\(929\) | 0.857957 | − | 0.857957i | 0.0281486 | − | 0.0281486i | −0.692892 | − | 0.721041i | \(-0.743664\pi\) |
0.721041 | + | 0.692892i | \(0.243664\pi\) | |||||||
\(930\) | 5.77200 | + | 31.6875i | 0.189271 | + | 1.03907i | ||||
\(931\) | 19.5765 | + | 3.10062i | 0.641595 | + | 0.101619i | ||||
\(932\) | 19.8091 | + | 19.5165i | 0.648870 | + | 0.639283i | ||||
\(933\) | 62.5440 | − | 9.90600i | 2.04760 | − | 0.324308i | ||||
\(934\) | −0.435236 | + | 5.80635i | −0.0142414 | + | 0.189990i | ||||
\(935\) | 3.10012 | − | 3.77552i | 0.101385 | − | 0.123473i | ||||
\(936\) | 12.0930 | + | 48.0038i | 0.395273 | + | 1.56905i | ||||
\(937\) | 28.5759 | − | 9.28486i | 0.933533 | − | 0.303323i | 0.197526 | − | 0.980298i | \(-0.436709\pi\) |
0.736007 | + | 0.676974i | \(0.236709\pi\) | |||||||
\(938\) | −18.5253 | − | 4.37469i | −0.604872 | − | 0.142839i | ||||
\(939\) | 17.6443 | − | 12.8193i | 0.575800 | − | 0.418343i | ||||
\(940\) | 13.9105 | + | 21.3904i | 0.453712 | + | 0.697677i | ||||
\(941\) | −41.2840 | + | 13.4140i | −1.34582 | + | 0.437284i | −0.891285 | − | 0.453444i | \(-0.850195\pi\) |
−0.454536 | + | 0.890728i | \(0.650195\pi\) | |||||||
\(942\) | 63.0304 | − | 54.2399i | 2.05364 | − | 1.76723i | ||||
\(943\) | 7.24778 | − | 21.2534i | 0.236020 | − | 0.692106i | ||||
\(944\) | −48.8058 | − | 15.0586i | −1.58849 | − | 0.490117i | ||||
\(945\) | 21.5907 | − | 36.8156i | 0.702347 | − | 1.19761i | ||||
\(946\) | −3.23226 | + | 2.78148i | −0.105090 | + | 0.0904336i | ||||
\(947\) | 0.433985 | − | 2.74007i | 0.0141026 | − | 0.0890404i | −0.979633 | − | 0.200796i | \(-0.935647\pi\) |
0.993736 | + | 0.111755i | \(0.0356473\pi\) | |||||||
\(948\) | 29.2399 | + | 9.26060i | 0.949667 | + | 0.300770i | ||||
\(949\) | −5.77688 | − | 2.94347i | −0.187525 | − | 0.0955489i | ||||
\(950\) | −22.0694 | − | 12.2667i | −0.716025 | − | 0.397983i | ||||
\(951\) | −12.5740 | − | 9.13556i | −0.407740 | − | 0.296241i | ||||
\(952\) | −1.20695 | − | 1.92109i | −0.0391175 | − | 0.0622630i | ||||
\(953\) | 0.784452 | − | 0.124245i | 0.0254109 | − | 0.00402469i | −0.143716 | − | 0.989619i | \(-0.545905\pi\) |
0.169127 | + | 0.985594i | \(0.445905\pi\) | |||||||
\(954\) | −2.83697 | − | 34.4096i | −0.0918502 | − | 1.11405i | ||||
\(955\) | 14.5107 | + | 22.6808i | 0.469555 | + | 0.733933i | ||||
\(956\) | −1.21061 | + | 1.69262i | −0.0391541 | + | 0.0547431i | ||||
\(957\) | 110.470i | 3.57099i | ||||||||
\(958\) | −7.23499 | − | 11.7084i | −0.233752 | − | 0.378282i | ||||
\(959\) | −2.14582 | + | 6.60414i | −0.0692920 | + | 0.213259i | ||||
\(960\) | −20.2318 | + | 55.2547i | −0.652980 | + | 1.78334i | ||||
\(961\) | 6.61671 | + | 20.3641i | 0.213442 | + | 0.656907i | ||||
\(962\) | −15.8836 | − | 6.51007i | −0.512109 | − | 0.209893i | ||||
\(963\) | 50.9468 | + | 99.9887i | 1.64174 | + | 3.22209i | ||||
\(964\) | −18.1563 | + | 36.2991i | −0.584775 | + | 1.16911i | ||||
\(965\) | 47.2058 | − | 20.6338i | 1.51961 | − | 0.664224i | ||||
\(966\) | 19.0795 | − | 4.65574i | 0.613873 | − | 0.149796i | ||||
\(967\) | −35.4037 | − | 25.7223i | −1.13851 | − | 0.827173i | −0.151596 | − | 0.988443i | \(-0.548441\pi\) |
−0.986910 | + | 0.161269i | \(0.948441\pi\) | |||||||
\(968\) | −0.172051 | − | 0.682965i | −0.00552993 | − | 0.0219513i | ||||
\(969\) | 1.22429 | − | 7.72988i | 0.0393300 | − | 0.248320i | ||||
\(970\) | 50.9373 | + | 6.86575i | 1.63550 | + | 0.220446i | ||||
\(971\) | 1.62120 | − | 3.18179i | 0.0520269 | − | 0.102109i | −0.863529 | − | 0.504299i | \(-0.831751\pi\) |
0.915556 | + | 0.402190i | \(0.131751\pi\) | |||||||
\(972\) | −43.1283 | − | 83.1091i | −1.38334 | − | 2.66573i | ||||
\(973\) | −10.9661 | + | 15.0935i | −0.351556 | + | 0.483875i | ||||
\(974\) | 21.3193 | + | 18.0716i | 0.683115 | + | 0.579053i | ||||
\(975\) | −36.5528 | − | 4.34538i | −1.17063 | − | 0.139164i | ||||
\(976\) | −2.08980 | + | 1.56638i | −0.0668930 | + | 0.0501386i | ||||
\(977\) | −9.54591 | + | 29.3793i | −0.305401 | + | 0.939926i | 0.674127 | + | 0.738616i | \(0.264520\pi\) |
−0.979527 | + | 0.201311i | \(0.935480\pi\) | |||||||
\(978\) | 12.8347 | + | 52.5972i | 0.410407 | + | 1.68187i | ||||
\(979\) | −0.0259359 | − | 0.0356977i | −0.000828916 | − | 0.00114090i | ||||
\(980\) | 23.1806 | + | 8.88118i | 0.740477 | + | 0.283699i | ||||
\(981\) | 10.2163 | − | 10.2163i | 0.326181 | − | 0.326181i | ||||
\(982\) | −11.6398 | + | 19.1540i | −0.371440 | + | 0.611229i | ||||
\(983\) | −12.7616 | − | 12.7616i | −0.407032 | − | 0.407032i | 0.473670 | − | 0.880702i | \(-0.342929\pi\) |
−0.880702 | + | 0.473670i | \(0.842929\pi\) | |||||||
\(984\) | 4.47640 | + | 59.4048i | 0.142702 | + | 1.89376i | ||||
\(985\) | 1.47032 | − | 24.8234i | 0.0468484 | − | 0.790940i | ||||
\(986\) | −9.37638 | + | 2.28800i | −0.298605 | + | 0.0728649i | ||||
\(987\) | 22.5933i | 0.719152i | ||||||||
\(988\) | 15.2378 | + | 4.82598i | 0.484779 | + | 0.153535i | ||||
\(989\) | 2.60909 | − | 1.89562i | 0.0829644 | − | 0.0602771i | ||||
\(990\) | −66.6812 | − | 46.1319i | −2.11927 | − | 1.46617i | ||||
\(991\) | −30.2050 | + | 15.3902i | −0.959493 | + | 0.488886i | −0.862310 | − | 0.506381i | \(-0.830983\pi\) |
−0.0971827 | + | 0.995267i | \(0.530983\pi\) | |||||||
\(992\) | 3.77146 | − | 17.1052i | 0.119744 | − | 0.543091i | ||||
\(993\) | −8.05408 | − | 8.05408i | −0.255588 | − | 0.255588i | ||||
\(994\) | 5.17151 | − | 6.10089i | 0.164030 | − | 0.193508i | ||||
\(995\) | −3.31818 | − | 2.72459i | −0.105193 | − | 0.0863753i | ||||
\(996\) | 21.0741 | − | 66.5405i | 0.667760 | − | 2.10842i | ||||
\(997\) | 1.94646 | + | 5.99060i | 0.0616452 | + | 0.189724i | 0.977136 | − | 0.212614i | \(-0.0681976\pi\) |
−0.915491 | + | 0.402338i | \(0.868198\pi\) | |||||||
\(998\) | 0.665530 | − | 8.87863i | 0.0210670 | − | 0.281048i | ||||
\(999\) | 84.9284 | + | 13.4513i | 2.68702 | + | 0.425581i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 820.2.bv.c.207.21 | yes | 960 | |
4.3 | odd | 2 | inner | 820.2.bv.c.207.16 | yes | 960 | |
5.3 | odd | 4 | 820.2.bk.c.43.40 | ✓ | 960 | ||
20.3 | even | 4 | 820.2.bk.c.43.47 | yes | 960 | ||
41.21 | even | 20 | 820.2.bk.c.267.47 | yes | 960 | ||
164.103 | odd | 20 | 820.2.bk.c.267.40 | yes | 960 | ||
205.103 | odd | 20 | inner | 820.2.bv.c.103.16 | yes | 960 | |
820.103 | even | 20 | inner | 820.2.bv.c.103.21 | yes | 960 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
820.2.bk.c.43.40 | ✓ | 960 | 5.3 | odd | 4 | ||
820.2.bk.c.43.47 | yes | 960 | 20.3 | even | 4 | ||
820.2.bk.c.267.40 | yes | 960 | 164.103 | odd | 20 | ||
820.2.bk.c.267.47 | yes | 960 | 41.21 | even | 20 | ||
820.2.bv.c.103.16 | yes | 960 | 205.103 | odd | 20 | inner | |
820.2.bv.c.103.21 | yes | 960 | 820.103 | even | 20 | inner | |
820.2.bv.c.207.16 | yes | 960 | 4.3 | odd | 2 | inner | |
820.2.bv.c.207.21 | yes | 960 | 1.1 | even | 1 | trivial |