Newspace parameters
Level: | \( N \) | \(=\) | \( 936 = 2^{3} \cdot 3^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 936.ed (of order \(12\), degree \(4\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(7.47399762919\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 312) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 739.12 | ||
Character | \(\chi\) | \(=\) | 936.739 |
Dual form | 936.2.ed.c.19.12 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/936\mathbb{Z}\right)^\times\).
\(n\) | \(145\) | \(209\) | \(469\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.39432 | − | 0.236374i | 0.985933 | − | 0.167142i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.88825 | − | 0.659163i | 0.944127 | − | 0.329581i | ||||
\(5\) | −1.86647 | + | 1.86647i | −0.834713 | + | 0.834713i | −0.988157 | − | 0.153445i | \(-0.950963\pi\) |
0.153445 | + | 0.988157i | \(0.450963\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.71214 | − | 1.26261i | 1.78102 | − | 0.477223i | 0.790251 | − | 0.612784i | \(-0.209950\pi\) |
0.990769 | + | 0.135561i | \(0.0432836\pi\) | |||||||
\(8\) | 2.47702 | − | 1.36542i | 0.875759 | − | 0.482748i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.16128 | + | 3.04365i | −0.683455 | + | 0.962486i | ||||
\(11\) | 1.99964 | + | 0.535801i | 0.602913 | + | 0.161550i | 0.547348 | − | 0.836905i | \(-0.315637\pi\) |
0.0555651 | + | 0.998455i | \(0.482304\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.15234 | + | 1.75007i | −0.874303 | + | 0.485381i | ||||
\(14\) | 6.27177 | − | 2.87431i | 1.67620 | − | 0.768193i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.13101 | − | 2.48933i | 0.782752 | − | 0.622333i | ||||
\(17\) | −3.84928 | − | 2.22238i | −0.933587 | − | 0.539007i | −0.0456428 | − | 0.998958i | \(-0.514534\pi\) |
−0.887944 | + | 0.459951i | \(0.847867\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.62661 | − | 0.703799i | 0.602586 | − | 0.161462i | 0.0553871 | − | 0.998465i | \(-0.482361\pi\) |
0.547199 | + | 0.837002i | \(0.315694\pi\) | |||||||
\(20\) | −2.29407 | + | 4.75469i | −0.512969 | + | 1.06318i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.91478 | + | 0.274415i | 0.621434 | + | 0.0585055i | ||||
\(23\) | 3.41537 | + | 5.91559i | 0.712154 | + | 1.23349i | 0.964047 | + | 0.265732i | \(0.0856135\pi\) |
−0.251893 | + | 0.967755i | \(0.581053\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | − | 1.96745i | − | 0.393490i | ||||||
\(26\) | −3.98170 | + | 3.18529i | −0.780876 | + | 0.624686i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 8.06544 | − | 5.49020i | 1.52423 | − | 1.03755i | ||||
\(29\) | 0.143621 | − | 0.0829197i | 0.0266698 | − | 0.0153978i | −0.486606 | − | 0.873622i | \(-0.661765\pi\) |
0.513276 | + | 0.858224i | \(0.328432\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.77330 | − | 3.77330i | 0.677705 | − | 0.677705i | −0.281775 | − | 0.959480i | \(-0.590923\pi\) |
0.959480 | + | 0.281775i | \(0.0909233\pi\) | |||||||
\(32\) | 3.77721 | − | 4.21102i | 0.667723 | − | 0.744410i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.89244 | − | 2.18884i | −1.01054 | − | 0.375383i | ||||
\(35\) | −6.43844 | + | 11.1517i | −1.08830 | + | 1.88498i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.19716 | + | 4.46786i | −0.196812 | + | 0.734512i | 0.794978 | + | 0.606638i | \(0.207482\pi\) |
−0.991790 | + | 0.127874i | \(0.959185\pi\) | |||||||
\(38\) | 3.49598 | − | 1.60218i | 0.567122 | − | 0.259909i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.07478 | + | 7.17181i | −0.328051 | + | 1.13396i | ||||
\(41\) | 2.06622 | − | 7.71126i | 0.322690 | − | 1.20430i | −0.593924 | − | 0.804521i | \(-0.702422\pi\) |
0.916614 | − | 0.399774i | \(-0.130911\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −7.03012 | − | 4.05884i | −1.07208 | − | 0.618968i | −0.143334 | − | 0.989674i | \(-0.545782\pi\) |
−0.928750 | + | 0.370707i | \(0.879116\pi\) | |||||||
\(44\) | 4.12900 | − | 0.306357i | 0.622471 | − | 0.0461851i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.16041 | + | 7.44092i | 0.908303 | + | 1.09710i | ||||
\(47\) | 1.87036 | + | 1.87036i | 0.272820 | + | 0.272820i | 0.830234 | − | 0.557415i | \(-0.188207\pi\) |
−0.557415 | + | 0.830234i | \(0.688207\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 14.5479 | − | 8.39921i | 2.07826 | − | 1.19989i | ||||
\(50\) | −0.465055 | − | 2.74326i | −0.0657687 | − | 0.387955i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.79885 | + | 5.38248i | −0.665480 | + | 0.746415i | ||||
\(53\) | 8.22085i | 1.12922i | 0.825358 | + | 0.564610i | \(0.190974\pi\) | ||||
−0.825358 | + | 0.564610i | \(0.809026\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.73233 | + | 2.73221i | −0.638107 | + | 0.368411i | ||||
\(56\) | 9.94806 | − | 9.56155i | 1.32937 | − | 1.27772i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.180654 | − | 0.149565i | 0.0237210 | − | 0.0196388i | ||||
\(59\) | −0.352439 | − | 1.31532i | −0.0458837 | − | 0.171240i | 0.939182 | − | 0.343420i | \(-0.111586\pi\) |
−0.985065 | + | 0.172180i | \(0.944919\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.601045 | + | 0.347013i | 0.0769559 | + | 0.0444305i | 0.537984 | − | 0.842955i | \(-0.319186\pi\) |
−0.461028 | + | 0.887385i | \(0.652519\pi\) | |||||||
\(62\) | 4.36928 | − | 6.15310i | 0.554899 | − | 0.781445i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.27127 | − | 6.76434i | 0.533908 | − | 0.845542i | ||||
\(65\) | 2.61731 | − | 9.15022i | 0.324638 | − | 1.13495i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.26441 | − | 4.71883i | 0.154472 | − | 0.576497i | −0.844678 | − | 0.535275i | \(-0.820208\pi\) |
0.999150 | − | 0.0412224i | \(-0.0131252\pi\) | |||||||
\(68\) | −8.73333 | − | 1.65912i | −1.05907 | − | 0.201198i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −6.34127 | + | 17.0709i | −0.757927 | + | 2.04037i | ||||
\(71\) | −2.46409 | − | 9.19612i | −0.292434 | − | 1.09138i | −0.943234 | − | 0.332129i | \(-0.892233\pi\) |
0.650800 | − | 0.759249i | \(-0.274434\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.2670 | + | 11.2670i | −1.31870 | + | 1.31870i | −0.403895 | + | 0.914805i | \(0.632344\pi\) |
−0.914805 | + | 0.403895i | \(0.867656\pi\) | |||||||
\(74\) | −0.613136 | + | 6.51261i | −0.0712756 | + | 0.757075i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.49579 | − | 3.06032i | 0.515703 | − | 0.351042i | ||||
\(77\) | 10.0991 | 1.15090 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.91660i | 1.11570i | 0.829940 | + | 0.557852i | \(0.188374\pi\) | ||||
−0.829940 | + | 0.557852i | \(0.811626\pi\) | |||||||
\(80\) | −1.19767 | + | 10.4902i | −0.133904 | + | 1.17284i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.05824 | − | 11.2404i | 0.116863 | − | 1.24129i | ||||
\(83\) | −3.88441 | − | 3.88441i | −0.426369 | − | 0.426369i | 0.461020 | − | 0.887390i | \(-0.347483\pi\) |
−0.887390 | + | 0.461020i | \(0.847483\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 11.3326 | − | 3.03656i | 1.22919 | − | 0.329361i | ||||
\(86\) | −10.7616 | − | 3.99758i | −1.16046 | − | 0.431071i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.68474 | − | 1.40315i | 0.605995 | − | 0.149576i | ||||
\(89\) | −13.1559 | − | 3.52510i | −1.39452 | − | 0.373660i | −0.518145 | − | 0.855293i | \(-0.673377\pi\) |
−0.876373 | + | 0.481632i | \(0.840044\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −12.6446 | + | 12.2267i | −1.32552 | + | 1.28171i | ||||
\(92\) | 10.3484 | + | 8.91886i | 1.07890 | + | 0.929856i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 3.04998 | + | 2.16577i | 0.314581 | + | 0.223382i | ||||
\(95\) | −3.58888 | + | 6.21613i | −0.368212 | + | 0.637761i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.52421 | + | 0.408410i | −0.154760 | + | 0.0414678i | −0.335367 | − | 0.942088i | \(-0.608860\pi\) |
0.180607 | + | 0.983555i | \(0.442194\pi\) | |||||||
\(98\) | 18.2990 | − | 15.1499i | 1.84848 | − | 1.53037i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.29687 | − | 3.71505i | −0.129687 | − | 0.371505i | ||||
\(101\) | 1.42809 | + | 2.47353i | 0.142101 | + | 0.246126i | 0.928287 | − | 0.371863i | \(-0.121281\pi\) |
−0.786187 | + | 0.617989i | \(0.787948\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.1257 | −0.997716 | −0.498858 | − | 0.866684i | \(-0.666247\pi\) | ||||
−0.498858 | + | 0.866684i | \(0.666247\pi\) | |||||||
\(104\) | −5.41885 | + | 8.63922i | −0.531362 | + | 0.847145i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.94320 | + | 11.4625i | 0.188740 | + | 1.11334i | ||||
\(107\) | −5.08478 | − | 8.80709i | −0.491564 | − | 0.851414i | 0.508389 | − | 0.861128i | \(-0.330241\pi\) |
−0.999953 | + | 0.00971375i | \(0.996908\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.06478 | + | 5.06478i | −0.485118 | + | 0.485118i | −0.906761 | − | 0.421644i | \(-0.861453\pi\) |
0.421644 | + | 0.906761i | \(0.361453\pi\) | |||||||
\(110\) | −5.95256 | + | 4.92818i | −0.567554 | + | 0.469883i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 11.6107 | − | 15.6833i | 1.09711 | − | 1.48194i | ||||
\(113\) | 0.373640 | − | 0.647164i | 0.0351491 | − | 0.0608801i | −0.847916 | − | 0.530131i | \(-0.822143\pi\) |
0.883065 | + | 0.469251i | \(0.155476\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −17.4160 | − | 4.66660i | −1.62405 | − | 0.435163i | ||||
\(116\) | 0.216536 | − | 0.251243i | 0.0201048 | − | 0.0233273i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.802321 | − | 1.75067i | −0.0738596 | − | 0.161162i | ||||
\(119\) | −20.9443 | − | 5.61202i | −1.91996 | − | 0.514453i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.81481 | − | 3.35718i | −0.528619 | − | 0.305198i | ||||
\(122\) | 0.920073 | + | 0.341776i | 0.0832995 | + | 0.0309429i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.63773 | − | 9.61217i | 0.416481 | − | 0.863199i | ||||
\(125\) | −5.66017 | − | 5.66017i | −0.506261 | − | 0.506261i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.06962 | − | 13.9770i | −0.716063 | − | 1.24026i | −0.962548 | − | 0.271111i | \(-0.912609\pi\) |
0.246485 | − | 0.969147i | \(-0.420724\pi\) | |||||||
\(128\) | 4.35660 | − | 10.4413i | 0.385072 | − | 0.922886i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.48649 | − | 13.3770i | 0.130374 | − | 1.17324i | ||||
\(131\) | −16.6579 | −1.45540 | −0.727702 | − | 0.685894i | \(-0.759412\pi\) | ||||
−0.727702 | + | 0.685894i | \(0.759412\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 11.4883 | − | 6.63279i | 0.996164 | − | 0.575136i | ||||
\(134\) | 0.647577 | − | 6.87843i | 0.0559421 | − | 0.594206i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −12.5692 | − | 0.249012i | −1.07780 | − | 0.0213526i | ||||
\(137\) | 0.760062 | + | 2.83659i | 0.0649365 | + | 0.242346i | 0.990763 | − | 0.135601i | \(-0.0432966\pi\) |
−0.925827 | + | 0.377948i | \(0.876630\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.89159 | − | 3.27634i | 0.160443 | − | 0.277895i | −0.774585 | − | 0.632470i | \(-0.782041\pi\) |
0.935028 | + | 0.354575i | \(0.115374\pi\) | |||||||
\(140\) | −4.80663 | + | 25.3013i | −0.406234 | + | 2.13835i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.60946 | − | 12.2399i | −0.470735 | − | 1.02715i | ||||
\(143\) | −7.24123 | + | 1.81047i | −0.605542 | + | 0.151399i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.113298 | + | 0.422832i | −0.00940885 | + | 0.0351143i | ||||
\(146\) | −13.0465 | + | 18.3730i | −1.07974 | + | 1.52056i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.684505 | + | 9.22558i | 0.0562660 | + | 0.758338i | ||||
\(149\) | −4.90868 | − | 18.3194i | −0.402134 | − | 1.50079i | −0.809280 | − | 0.587423i | \(-0.800143\pi\) |
0.407146 | − | 0.913363i | \(-0.366524\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.95676 | + | 7.95676i | 0.647512 | + | 0.647512i | 0.952391 | − | 0.304879i | \(-0.0986160\pi\) |
−0.304879 | + | 0.952391i | \(0.598616\pi\) | |||||||
\(152\) | 5.54520 | − | 5.32975i | 0.449775 | − | 0.432300i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 14.0813 | − | 2.38716i | 1.13471 | − | 0.192363i | ||||
\(155\) | 14.0855i | 1.13138i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.73082i | 0.776604i | 0.921532 | + | 0.388302i | \(0.126938\pi\) | ||||
−0.921532 | + | 0.388302i | \(0.873062\pi\) | |||||||
\(158\) | 2.34403 | + | 13.8269i | 0.186481 | + | 1.10001i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.809682 | + | 14.9098i | 0.0640110 | + | 1.17873i | ||||
\(161\) | 23.5628 | + | 23.5628i | 1.85701 | + | 1.85701i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.44596 | + | 24.0567i | 0.504887 | + | 1.88426i | 0.465520 | + | 0.885038i | \(0.345867\pi\) |
0.0393670 | + | 0.999225i | \(0.487466\pi\) | |||||||
\(164\) | −1.18141 | − | 15.9228i | −0.0922529 | − | 1.24336i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.33428 | − | 4.49793i | −0.491635 | − | 0.349107i | ||||
\(167\) | −2.58274 | + | 9.63891i | −0.199858 | + | 0.745881i | 0.791097 | + | 0.611690i | \(0.209510\pi\) |
−0.990956 | + | 0.134191i | \(0.957157\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.87453 | − | 11.0336i | 0.528810 | − | 0.848740i | ||||
\(170\) | 15.0835 | − | 6.91267i | 1.15685 | − | 0.530178i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −15.9501 | − | 3.03013i | −1.21618 | − | 0.231046i | ||||
\(173\) | −5.29984 | + | 9.17959i | −0.402939 | + | 0.697911i | −0.994079 | − | 0.108658i | \(-0.965345\pi\) |
0.591140 | + | 0.806569i | \(0.298678\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.48413 | − | 9.27090i | −0.187783 | − | 0.700814i | ||||
\(176\) | 7.59467 | − | 3.30017i | 0.572470 | − | 0.248759i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −19.1767 | − | 1.80541i | −1.43736 | − | 0.135321i | ||||
\(179\) | 13.8149 | − | 7.97602i | 1.03257 | − | 0.596156i | 0.114851 | − | 0.993383i | \(-0.463361\pi\) |
0.917720 | + | 0.397227i | \(0.130027\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.36580 | −0.547496 | −0.273748 | − | 0.961801i | \(-0.588263\pi\) | ||||
−0.273748 | + | 0.961801i | \(0.588263\pi\) | |||||||
\(182\) | −14.7405 | + | 20.0368i | −1.09264 | + | 1.48523i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 16.5372 | + | 9.98964i | 1.21914 | + | 0.736446i | ||||
\(185\) | −6.10468 | − | 10.5736i | −0.448825 | − | 0.777388i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.50641 | − | 6.50641i | −0.475796 | − | 0.475796i | ||||
\(188\) | 4.76458 | + | 2.29884i | 0.347493 | + | 0.167660i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.53472 | + | 9.51559i | −0.256435 | + | 0.690333i | ||||
\(191\) | −5.05273 | − | 2.91720i | −0.365603 | − | 0.211081i | 0.305933 | − | 0.952053i | \(-0.401032\pi\) |
−0.671536 | + | 0.740972i | \(0.734365\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 17.5387 | + | 4.69948i | 1.26246 | + | 0.338276i | 0.827139 | − | 0.561998i | \(-0.189967\pi\) |
0.435324 | + | 0.900274i | \(0.356634\pi\) | |||||||
\(194\) | −2.02869 | + | 0.929738i | −0.145652 | + | 0.0667513i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 21.9336 | − | 25.4492i | 1.56669 | − | 1.81780i | ||||
\(197\) | 7.77095 | + | 2.08222i | 0.553657 | + | 0.148352i | 0.524791 | − | 0.851231i | \(-0.324144\pi\) |
0.0288665 | + | 0.999583i | \(0.490810\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.64080 | + | 2.84194i | −0.116313 | + | 0.201460i | −0.918304 | − | 0.395876i | \(-0.870441\pi\) |
0.801991 | + | 0.597336i | \(0.203774\pi\) | |||||||
\(200\) | −2.68639 | − | 4.87342i | −0.189957 | − | 0.344603i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.57590 | + | 3.11133i | 0.181240 | + | 0.218912i | ||||
\(203\) | 0.572067 | − | 0.572067i | 0.0401512 | − | 0.0401512i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.5363 | + | 18.2494i | 0.735887 | + | 1.27459i | ||||
\(206\) | −14.1185 | + | 2.39346i | −0.983681 | + | 0.166760i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −5.51352 | + | 13.3267i | −0.382294 | + | 0.924041i | ||||
\(209\) | 5.62937 | 0.389392 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.16814 | + | 10.6835i | 0.424632 | + | 0.735484i | 0.996386 | − | 0.0849408i | \(-0.0270701\pi\) |
−0.571754 | + | 0.820425i | \(0.693737\pi\) | |||||||
\(212\) | 5.41888 | + | 15.5231i | 0.372170 | + | 1.06613i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.17158 | − | 11.0780i | −0.626956 | − | 0.757276i | ||||
\(215\) | 20.6973 | − | 5.54582i | 1.41154 | − | 0.378221i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 13.0161 | − | 22.5445i | 0.883590 | − | 1.53042i | ||||
\(218\) | −5.86473 | + | 8.25910i | −0.397210 | + | 0.559377i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −7.13487 | + | 8.27849i | −0.481033 | + | 0.558136i | ||||
\(221\) | 16.0236 | + | 0.269216i | 1.07786 | + | 0.0181094i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −24.4285 | − | 6.54560i | −1.63585 | − | 0.438326i | −0.680250 | − | 0.732980i | \(-0.738129\pi\) |
−0.955604 | + | 0.294655i | \(0.904795\pi\) | |||||||
\(224\) | 12.4819 | − | 24.6120i | 0.833979 | − | 1.64446i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.368001 | − | 0.990673i | 0.0244791 | − | 0.0658986i | ||||
\(227\) | 21.3233 | − | 5.71357i | 1.41528 | − | 0.379223i | 0.531473 | − | 0.847075i | \(-0.321639\pi\) |
0.883807 | + | 0.467852i | \(0.154972\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11.7201 | − | 11.7201i | −0.774485 | − | 0.774485i | 0.204402 | − | 0.978887i | \(-0.434475\pi\) |
−0.978887 | + | 0.204402i | \(0.934475\pi\) | |||||||
\(230\) | −25.3865 | − | 2.39004i | −1.67394 | − | 0.157595i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.242532 | − | 0.401497i | 0.0159230 | − | 0.0263595i | ||||
\(233\) | − | 4.91123i | − | 0.321746i | −0.986975 | − | 0.160873i | \(-0.948569\pi\) | ||
0.986975 | − | 0.160873i | \(-0.0514309\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −6.98195 | −0.455452 | ||||||||
\(236\) | −1.53250 | − | 2.25135i | −0.0997576 | − | 0.146550i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −30.5296 | − | 2.87424i | −1.97894 | − | 0.186310i | ||||
\(239\) | −10.2089 | + | 10.2089i | −0.660358 | + | 0.660358i | −0.955465 | − | 0.295106i | \(-0.904645\pi\) |
0.295106 | + | 0.955465i | \(0.404645\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.695205 | + | 2.59454i | 0.0447821 | + | 0.167129i | 0.984695 | − | 0.174284i | \(-0.0557611\pi\) |
−0.939913 | + | 0.341413i | \(0.889094\pi\) | |||||||
\(242\) | −8.90126 | − | 3.30651i | −0.572195 | − | 0.212551i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.36366 | + | 0.259063i | 0.0872996 | + | 0.0165848i | ||||
\(245\) | −11.4763 | + | 42.8301i | −0.733193 | + | 2.73631i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.04829 | + | 6.81536i | −0.448472 | + | 0.433651i | ||||
\(248\) | 4.19441 | − | 14.4987i | 0.266346 | − | 0.920667i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −9.23001 | − | 6.55417i | −0.583757 | − | 0.414522i | ||||
\(251\) | 2.76530 | + | 1.59655i | 0.174544 | + | 0.100773i | 0.584727 | − | 0.811230i | \(-0.301202\pi\) |
−0.410183 | + | 0.912003i | \(0.634535\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.65992 | + | 13.6590i | 0.230097 | + | 0.858734i | ||||
\(254\) | −14.5554 | − | 17.5809i | −0.913289 | − | 1.10313i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.60644 | − | 15.5883i | 0.225402 | − | 0.974266i | ||||
\(257\) | 11.7430 | − | 6.77983i | 0.732509 | − | 0.422914i | −0.0868303 | − | 0.996223i | \(-0.527674\pi\) |
0.819339 | + | 0.573309i | \(0.194340\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 22.5647i | 1.40210i | ||||||||
\(260\) | −1.08933 | − | 19.0032i | −0.0675575 | − | 1.17853i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −23.2264 | + | 3.93749i | −1.43493 | + | 0.243259i | ||||
\(263\) | 15.4394 | − | 8.91391i | 0.952031 | − | 0.549655i | 0.0583199 | − | 0.998298i | \(-0.481426\pi\) |
0.893711 | + | 0.448642i | \(0.148092\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −15.3440 | − | 15.3440i | −0.942575 | − | 0.942575i | ||||
\(266\) | 14.4506 | − | 11.9638i | 0.886022 | − | 0.733546i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.722955 | − | 9.74380i | −0.0441615 | − | 0.595198i | ||||
\(269\) | −15.1420 | − | 8.74224i | −0.923225 | − | 0.533024i | −0.0385623 | − | 0.999256i | \(-0.512278\pi\) |
−0.884662 | + | 0.466232i | \(0.845611\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −0.868914 | + | 3.24283i | −0.0527828 | + | 0.196988i | −0.987282 | − | 0.158976i | \(-0.949181\pi\) |
0.934500 | + | 0.355964i | \(0.115847\pi\) | |||||||
\(272\) | −17.5844 | + | 2.62384i | −1.06621 | + | 0.159094i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.73027 | + | 3.77545i | 0.104529 | + | 0.228083i | ||||
\(275\) | 1.05416 | − | 3.93419i | 0.0635684 | − | 0.237241i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 12.8269 | − | 22.2168i | 0.770694 | − | 1.33488i | −0.166490 | − | 0.986043i | \(-0.553243\pi\) |
0.937183 | − | 0.348837i | \(-0.113423\pi\) | |||||||
\(278\) | 1.86304 | − | 5.01538i | 0.111738 | − | 0.300803i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.721412 | + | 36.4142i | −0.0431126 | + | 2.17616i | ||||
\(281\) | −13.6396 | + | 13.6396i | −0.813669 | + | 0.813669i | −0.985182 | − | 0.171513i | \(-0.945135\pi\) |
0.171513 | + | 0.985182i | \(0.445135\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.91655 | − | 2.83857i | 0.292258 | − | 0.168736i | −0.346701 | − | 0.937976i | \(-0.612698\pi\) |
0.638960 | + | 0.769240i | \(0.279365\pi\) | |||||||
\(284\) | −10.7146 | − | 15.7404i | −0.635793 | − | 0.934020i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9.66864 | + | 4.23601i | −0.571719 | + | 0.250481i | ||||
\(287\) | − | 38.9453i | − | 2.29887i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.37796 | + | 2.38670i | 0.0810565 | + | 0.140394i | ||||
\(290\) | −0.0580264 | + | 0.616344i | −0.00340743 | + | 0.0361930i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −13.8482 | + | 28.7017i | −0.810402 | + | 1.67964i | ||||
\(293\) | −5.74107 | + | 1.53832i | −0.335397 | + | 0.0898693i | −0.422587 | − | 0.906322i | \(-0.638878\pi\) |
0.0871901 | + | 0.996192i | \(0.472211\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.11283 | + | 1.79719i | 0.181236 | + | 0.104637i | ||||
\(296\) | 3.13511 | + | 12.7016i | 0.182225 | + | 0.738266i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −11.1745 | − | 24.3828i | −0.647322 | − | 1.41246i | ||||
\(299\) | −21.1191 | − | 12.6709i | −1.22135 | − | 0.732775i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −38.2516 | − | 10.2495i | −2.20479 | − | 0.590771i | ||||
\(302\) | 12.9750 | + | 9.21350i | 0.746630 | + | 0.530177i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.47196 | − | 8.74211i | 0.371192 | − | 0.501395i | ||||
\(305\) | −1.76953 | + | 0.474143i | −0.101323 | + | 0.0271493i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.23600 | + | 4.23600i | −0.241761 | + | 0.241761i | −0.817578 | − | 0.575817i | \(-0.804684\pi\) |
0.575817 | + | 0.817578i | \(0.304684\pi\) | |||||||
\(308\) | 19.0696 | − | 6.65693i | 1.08659 | − | 0.379314i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.32946 | + | 19.6397i | 0.189101 | + | 1.11546i | ||||
\(311\) | 23.2153 | 1.31642 | 0.658209 | − | 0.752836i | \(-0.271315\pi\) | ||||
0.658209 | + | 0.752836i | \(0.271315\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 23.0016 | 1.30013 | 0.650064 | − | 0.759880i | \(-0.274742\pi\) | ||||
0.650064 | + | 0.759880i | \(0.274742\pi\) | |||||||
\(314\) | 2.30012 | + | 13.5679i | 0.129803 | + | 0.765680i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 6.53665 | + | 18.7251i | 0.367715 | + | 1.05337i | ||||
\(317\) | 13.3702 | − | 13.3702i | 0.750944 | − | 0.750944i | −0.223711 | − | 0.974655i | \(-0.571817\pi\) |
0.974655 | + | 0.223711i | \(0.0718173\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.331619 | − | 0.0888569i | 0.0185671 | − | 0.00497503i | ||||
\(320\) | 4.65325 | + | 20.5977i | 0.260125 | + | 1.15144i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 38.4237 | + | 27.2844i | 2.14127 | + | 1.52050i | ||||
\(323\) | −11.6747 | − | 3.12822i | −0.649596 | − | 0.174059i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.44317 | + | 6.20208i | 0.190993 | + | 0.344030i | ||||
\(326\) | 14.6741 | + | 32.0190i | 0.812723 | + | 1.77337i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −5.41101 | − | 21.9222i | −0.298773 | − | 1.21045i | ||||
\(329\) | 11.1749 | + | 6.45184i | 0.616093 | + | 0.355701i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 15.9030 | − | 4.26121i | 0.874110 | − | 0.234217i | 0.206246 | − | 0.978500i | \(-0.433875\pi\) |
0.667864 | + | 0.744283i | \(0.267209\pi\) | |||||||
\(332\) | −9.89520 | − | 4.77429i | −0.543070 | − | 0.262023i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.32277 | + | 14.0502i | −0.0723788 | + | 0.768793i | ||||
\(335\) | 6.44759 | + | 11.1676i | 0.352270 | + | 0.610149i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 27.5380i | − | 1.50009i | −0.661386 | − | 0.750046i | \(-0.730031\pi\) | ||
0.661386 | − | 0.750046i | \(-0.269969\pi\) | |||||||
\(338\) | 6.97723 | − | 17.0094i | 0.379511 | − | 0.925187i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 19.3972 | − | 13.2038i | 1.05196 | − | 0.716078i | ||||
\(341\) | 9.56698 | − | 5.52350i | 0.518081 | − | 0.299114i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 33.7998 | − | 33.7998i | 1.82502 | − | 1.82502i | ||||
\(344\) | −22.9558 | − | 0.454783i | −1.23769 | − | 0.0245203i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −5.21985 | + | 14.0520i | −0.280621 | + | 0.755442i | ||||
\(347\) | −9.78651 | + | 16.9507i | −0.525367 | + | 0.909963i | 0.474196 | + | 0.880419i | \(0.342739\pi\) |
−0.999563 | + | 0.0295437i | \(0.990595\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.58449 | − | 5.91341i | 0.0848160 | − | 0.316538i | −0.910463 | − | 0.413590i | \(-0.864275\pi\) |
0.995279 | + | 0.0970522i | \(0.0309414\pi\) | |||||||
\(350\) | −5.65507 | − | 12.3394i | −0.302276 | − | 0.659569i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 9.80933 | − | 6.39667i | 0.522839 | − | 0.340944i | ||||
\(353\) | −3.59259 | + | 13.4077i | −0.191214 | + | 0.713621i | 0.802000 | + | 0.597324i | \(0.203769\pi\) |
−0.993214 | + | 0.116297i | \(0.962897\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 21.7635 | + | 12.5652i | 1.15509 | + | 0.666889i | ||||
\(356\) | −27.1652 | + | 2.01556i | −1.43975 | + | 0.106825i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 17.3770 | − | 14.3866i | 0.918404 | − | 0.760355i | ||||
\(359\) | 12.7715 | + | 12.7715i | 0.674055 | + | 0.674055i | 0.958648 | − | 0.284593i | \(-0.0918586\pi\) |
−0.284593 | + | 0.958648i | \(0.591859\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.0507 | + | 5.80279i | −0.528985 | + | 0.305410i | ||||
\(362\) | −10.2703 | + | 1.74109i | −0.539794 | + | 0.0915094i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −15.8168 | + | 31.4221i | −0.829027 | + | 1.64696i | ||||
\(365\) | − | 42.0591i | − | 2.20147i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.71553 | + | 0.990463i | −0.0895500 | + | 0.0517017i | −0.544106 | − | 0.839016i | \(-0.683131\pi\) |
0.454556 | + | 0.890718i | \(0.349798\pi\) | |||||||
\(368\) | 25.4194 | + | 10.0198i | 1.32508 | + | 0.522318i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −11.0112 | − | 13.3000i | −0.572445 | − | 0.691435i | ||||
\(371\) | 10.3798 | + | 38.7378i | 0.538890 | + | 2.01116i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.8013 | + | 10.2776i | 0.921715 | + | 0.532152i | 0.884182 | − | 0.467143i | \(-0.154717\pi\) |
0.0375332 | + | 0.999295i | \(0.488050\pi\) | |||||||
\(374\) | −10.6100 | − | 7.53406i | −0.548628 | − | 0.389577i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.18673 | + | 2.07909i | 0.370627 | + | 0.107221i | ||||
\(377\) | −0.307628 | + | 0.512738i | −0.0158436 | + | 0.0264073i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.58993 | + | 5.93369i | −0.0816691 | + | 0.304793i | −0.994663 | − | 0.103181i | \(-0.967098\pi\) |
0.912993 | + | 0.407974i | \(0.133765\pi\) | |||||||
\(380\) | −2.67928 | + | 14.1033i | −0.137444 | + | 0.723483i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −7.73468 | − | 2.87317i | −0.395741 | − | 0.147004i | ||||
\(383\) | 3.16308 | + | 11.8048i | 0.161626 | + | 0.603196i | 0.998446 | + | 0.0557191i | \(0.0177451\pi\) |
−0.836820 | + | 0.547477i | \(0.815588\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −18.8497 | + | 18.8497i | −0.960668 | + | 0.960668i | ||||
\(386\) | 25.5654 | + | 2.40688i | 1.30124 | + | 0.122507i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.60888 | + | 1.77588i | −0.132446 | + | 0.0901568i | ||||
\(389\) | −29.9634 | −1.51920 | −0.759601 | − | 0.650389i | \(-0.774606\pi\) | ||||
−0.759601 | + | 0.650389i | \(0.774606\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 30.3610i | − | 1.53542i | ||||||
\(392\) | 24.5669 | − | 40.6689i | 1.24082 | − | 2.05409i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 11.3274 | + | 1.06643i | 0.570665 | + | 0.0537258i | ||||
\(395\) | −18.5091 | − | 18.5091i | −0.931293 | − | 0.931293i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −11.2356 | + | 3.01057i | −0.563899 | + | 0.151096i | −0.529497 | − | 0.848312i | \(-0.677619\pi\) |
−0.0344019 | + | 0.999408i | \(0.510953\pi\) | |||||||
\(398\) | −1.61603 | + | 4.35042i | −0.0810044 | + | 0.218067i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.89764 | − | 6.16011i | −0.244882 | − | 0.308005i | ||||
\(401\) | 24.4339 | + | 6.54704i | 1.22017 | + | 0.326943i | 0.810744 | − | 0.585400i | \(-0.199063\pi\) |
0.409425 | + | 0.912344i | \(0.365729\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.29121 | + | 18.4983i | −0.263574 | + | 0.921465i | ||||
\(404\) | 4.32706 | + | 3.72931i | 0.215279 | + | 0.185540i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.662422 | − | 0.932865i | 0.0328754 | − | 0.0462973i | ||||
\(407\) | −4.78777 | + | 8.29267i | −0.237321 | + | 0.411052i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 20.0336 | − | 5.36799i | 0.990599 | − | 0.265430i | 0.273097 | − | 0.961987i | \(-0.411952\pi\) |
0.717502 | + | 0.696556i | \(0.245285\pi\) | |||||||
\(410\) | 19.0047 | + | 22.9550i | 0.938574 | + | 1.13367i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −19.1199 | + | 6.67449i | −0.941971 | + | 0.328829i | ||||
\(413\) | −3.32148 | − | 5.75297i | −0.163439 | − | 0.283085i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 14.5003 | 0.711791 | ||||||||
\(416\) | −4.53751 | + | 19.8849i | −0.222470 | + | 0.974940i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.84914 | − | 1.33064i | 0.383914 | − | 0.0650836i | ||||
\(419\) | 15.5683 | + | 26.9651i | 0.760560 | + | 1.31733i | 0.942562 | + | 0.334031i | \(0.108409\pi\) |
−0.182002 | + | 0.983298i | \(0.558258\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.590979 | − | 0.590979i | 0.0288026 | − | 0.0288026i | −0.692559 | − | 0.721361i | \(-0.743517\pi\) |
0.721361 | + | 0.692559i | \(0.243517\pi\) | |||||||
\(422\) | 11.1257 | + | 13.4383i | 0.541589 | + | 0.654164i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 11.2249 | + | 20.3632i | 0.545129 | + | 0.988926i | ||||
\(425\) | −4.37243 | + | 7.57327i | −0.212094 | + | 0.367357i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.27035 | + | 0.876287i | 0.158263 | + | 0.0424065i | ||||
\(428\) | −15.4067 | − | 13.2783i | −0.744709 | − | 0.641833i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 27.5477 | − | 12.6249i | 1.32847 | − | 0.608829i | ||||
\(431\) | −8.41002 | − | 2.25346i | −0.405096 | − | 0.108545i | 0.0505166 | − | 0.998723i | \(-0.483913\pi\) |
−0.455613 | + | 0.890178i | \(0.650580\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −8.71099 | − | 5.02929i | −0.418624 | − | 0.241692i | 0.275865 | − | 0.961196i | \(-0.411036\pi\) |
−0.694488 | + | 0.719504i | \(0.744369\pi\) | |||||||
\(434\) | 12.8196 | − | 34.5109i | 0.615363 | − | 1.65658i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −6.22507 | + | 12.9021i | −0.298127 | + | 0.617898i | ||||
\(437\) | 13.1342 | + | 13.1342i | 0.628296 | + | 0.628296i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.83901 | + | 6.64936i | 0.183226 | + | 0.317357i | 0.942977 | − | 0.332857i | \(-0.108013\pi\) |
−0.759751 | + | 0.650214i | \(0.774679\pi\) | |||||||
\(440\) | −7.99147 | + | 13.2294i | −0.380978 | + | 0.630685i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 22.4056 | − | 3.41218i | 1.06573 | − | 0.162301i | ||||
\(443\) | 6.09878 | 0.289762 | 0.144881 | − | 0.989449i | \(-0.453720\pi\) | ||||
0.144881 | + | 0.989449i | \(0.453720\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 31.1346 | − | 17.9756i | 1.47592 | − | 0.852123i | ||||
\(446\) | −35.6084 | − | 3.35239i | −1.68610 | − | 0.158740i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 11.5860 | − | 37.2674i | 0.547389 | − | 1.76072i | ||||
\(449\) | 6.24854 | + | 23.3199i | 0.294887 | + | 1.10053i | 0.941307 | + | 0.337551i | \(0.109599\pi\) |
−0.646421 | + | 0.762981i | \(0.723735\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 8.26340 | − | 14.3126i | 0.389108 | − | 0.673955i | ||||
\(452\) | 0.278942 | − | 1.46830i | 0.0131203 | − | 0.0690630i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 28.3810 | − | 13.0068i | 1.33199 | − | 0.610441i | ||||
\(455\) | 0.779944 | − | 46.4217i | 0.0365643 | − | 2.17628i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.14536 | + | 19.2027i | −0.240690 | + | 0.898266i | 0.734811 | + | 0.678272i | \(0.237271\pi\) |
−0.975501 | + | 0.219995i | \(0.929396\pi\) | |||||||
\(458\) | −19.1119 | − | 13.5712i | −0.893040 | − | 0.634142i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −35.9619 | + | 2.66824i | −1.67673 | + | 0.124407i | ||||
\(461\) | 3.19035 | + | 11.9065i | 0.148589 | + | 0.554543i | 0.999569 | + | 0.0293448i | \(0.00934209\pi\) |
−0.850980 | + | 0.525198i | \(0.823991\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.89215 | − | 5.89215i | −0.273832 | − | 0.273832i | 0.556809 | − | 0.830641i | \(-0.312026\pi\) |
−0.830641 | + | 0.556809i | \(0.812026\pi\) | |||||||
\(464\) | 0.243264 | − | 0.617143i | 0.0112933 | − | 0.0286501i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.16089 | − | 6.84783i | −0.0537771 | − | 0.317220i | ||||
\(467\) | − | 23.5141i | − | 1.08810i | −0.839051 | − | 0.544052i | \(-0.816889\pi\) | ||
0.839051 | − | 0.544052i | \(-0.183111\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 23.8322i | − | 1.10047i | ||||||
\(470\) | −9.73506 | + | 1.65035i | −0.449045 | + | 0.0761251i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.66896 | − | 2.77685i | −0.122849 | − | 0.127815i | ||||
\(473\) | −11.8830 | − | 11.8830i | −0.546379 | − | 0.546379i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.38469 | − | 5.16773i | −0.0635339 | − | 0.237112i | ||||
\(476\) | −43.2474 | + | 3.20880i | −1.98224 | + | 0.147075i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −11.8213 | + | 16.6476i | −0.540696 | + | 0.761443i | ||||
\(479\) | 0.824761 | − | 3.07805i | 0.0376843 | − | 0.140640i | −0.944521 | − | 0.328452i | \(-0.893473\pi\) |
0.982205 | + | 0.187812i | \(0.0601397\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.04520 | − | 16.1793i | −0.184445 | − | 0.737715i | ||||
\(482\) | 1.58262 | + | 3.45329i | 0.0720864 | + | 0.157293i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −13.1928 | − | 2.50631i | −0.599672 | − | 0.113923i | ||||
\(485\) | 2.08261 | − | 3.60718i | 0.0945663 | − | 0.163794i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.40943 | + | 16.4562i | 0.199810 | + | 0.745702i | 0.990969 | + | 0.134091i | \(0.0428115\pi\) |
−0.791159 | + | 0.611611i | \(0.790522\pi\) | |||||||
\(488\) | 1.96262 | + | 0.0388820i | 0.0888435 | + | 0.00176010i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.87768 | + | 62.4315i | −0.265527 | + | 2.82037i | ||||
\(491\) | −10.5370 | + | 6.08352i | −0.475527 | + | 0.274546i | −0.718551 | − | 0.695475i | \(-0.755194\pi\) |
0.243024 | + | 0.970020i | \(0.421861\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.737117 | −0.0331981 | ||||||||
\(494\) | −8.21659 | + | 11.1688i | −0.369682 | + | 0.502509i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.42124 | − | 21.2073i | 0.108717 | − | 0.952234i | ||||
\(497\) | −23.2223 | − | 40.2222i | −1.04166 | − | 1.80421i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −28.9374 | − | 28.9374i | −1.29542 | − | 1.29542i | −0.931389 | − | 0.364027i | \(-0.881402\pi\) |
−0.364027 | − | 0.931389i | \(-0.618598\pi\) | |||||||
\(500\) | −14.4188 | − | 6.95687i | −0.644829 | − | 0.311121i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.23309 | + | 1.57245i | 0.188932 | + | 0.0701818i | ||||
\(503\) | 21.8800 | + | 12.6324i | 0.975580 | + | 0.563252i | 0.900933 | − | 0.433958i | \(-0.142884\pi\) |
0.0746475 | + | 0.997210i | \(0.476217\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −7.28228 | − | 1.95128i | −0.324057 | − | 0.0868309i | ||||
\(506\) | 8.33174 | + | 18.1799i | 0.370391 | + | 0.808196i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −24.4506 | − | 21.0729i | −1.08482 | − | 0.934960i | ||||
\(509\) | 18.9678 | + | 5.08241i | 0.840734 | + | 0.225274i | 0.653391 | − | 0.757021i | \(-0.273346\pi\) |
0.187343 | + | 0.982295i | \(0.440012\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −38.8657 | + | 67.3174i | −1.71932 | + | 2.97795i | ||||
\(512\) | 1.34387 | − | 22.5875i | 0.0593911 | − | 0.998235i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 14.7709 | − | 12.2290i | 0.651518 | − | 0.539398i | ||||
\(515\) | 18.8994 | − | 18.8994i | 0.832806 | − | 0.832806i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.73790 | + | 4.74218i | 0.120413 | + | 0.208561i | ||||
\(518\) | 5.33372 | + | 31.4624i | 0.234350 | + | 1.38238i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −6.01074 | − | 26.2390i | −0.263588 | − | 1.15066i | ||||
\(521\) | 8.50132 | 0.372450 | 0.186225 | − | 0.982507i | \(-0.440375\pi\) | ||||
0.186225 | + | 0.982507i | \(0.440375\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −22.1486 | − | 38.3625i | −0.968490 | − | 1.67747i | −0.699932 | − | 0.714209i | \(-0.746786\pi\) |
−0.268558 | − | 0.963264i | \(-0.586547\pi\) | |||||||
\(524\) | −31.4543 | + | 10.9802i | −1.37409 | + | 0.479674i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 19.4204 | − | 16.0783i | 0.846768 | − | 0.701048i | ||||
\(527\) | −22.9102 | + | 6.13877i | −0.997984 | + | 0.267409i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.8295 | + | 20.4893i | −0.514326 | + | 0.890839i | ||||
\(530\) | −25.0214 | − | 17.7675i | −1.08686 | − | 0.771772i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 17.3208 | − | 20.0971i | 0.750952 | − | 0.871319i | ||||
\(533\) | 6.98176 | + | 27.9246i | 0.302414 | + | 1.20955i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 25.9288 | + | 6.94761i | 1.12100 | + | 0.300371i | ||||
\(536\) | −3.31121 | − | 13.4151i | −0.143023 | − | 0.579444i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −23.1792 | − | 8.61030i | −0.999328 | − | 0.371216i | ||||
\(539\) | 33.5907 | − | 9.00061i | 1.44686 | − | 0.387684i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 12.5837 | + | 12.5837i | 0.541018 | + | 0.541018i | 0.923827 | − | 0.382810i | \(-0.125044\pi\) |
−0.382810 | + | 0.923827i | \(0.625044\pi\) | |||||||
\(542\) | −0.445022 | + | 4.72693i | −0.0191153 | + | 0.203039i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −23.8980 | + | 7.81496i | −1.02462 | + | 0.335064i | ||||
\(545\) | − | 18.9065i | − | 0.809867i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.39098 | −0.102231 | −0.0511154 | − | 0.998693i | \(-0.516278\pi\) | ||||
−0.0511154 | + | 0.998693i | \(0.516278\pi\) | |||||||
\(548\) | 3.30496 | + | 4.85520i | 0.141181 | + | 0.207404i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.539899 | − | 5.73470i | 0.0230214 | − | 0.244528i | ||||
\(551\) | 0.318878 | − | 0.318878i | 0.0135847 | − | 0.0135847i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.5208 | + | 46.7284i | 0.532440 | + | 1.98709i | ||||
\(554\) | 12.6333 | − | 34.0093i | 0.536738 | − | 1.44492i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.41217 | − | 7.43342i | 0.0598894 | − | 0.315247i | ||||
\(557\) | 3.10542 | − | 11.5896i | 0.131581 | − | 0.491067i | −0.868408 | − | 0.495851i | \(-0.834856\pi\) |
0.999989 | + | 0.00478427i | \(0.00152289\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 29.2646 | + | 0.491682i | 1.23776 | + | 0.0207959i | ||||
\(560\) | 7.60150 | + | 50.9436i | 0.321222 | + | 2.15276i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −15.7939 | + | 22.2420i | −0.666225 | + | 0.938222i | ||||
\(563\) | 20.5535 | + | 11.8665i | 0.866225 | + | 0.500115i | 0.866092 | − | 0.499885i | \(-0.166624\pi\) |
0.000133111 | 1.00000i | \(0.499958\pi\) | ||||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.510525 | + | 1.90531i | 0.0214779 | + | 0.0801568i | ||||
\(566\) | 6.18428 | − | 5.12002i | 0.259944 | − | 0.215211i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −18.6602 | − | 19.4145i | −0.782963 | − | 0.814613i | ||||
\(569\) | 26.9109 | − | 15.5370i | 1.12816 | − | 0.651346i | 0.184692 | − | 0.982796i | \(-0.440871\pi\) |
0.943473 | + | 0.331450i | \(0.107538\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 10.8606i | − | 0.454500i | −0.973836 | − | 0.227250i | \(-0.927027\pi\) | ||
0.973836 | − | 0.227250i | \(-0.0729735\pi\) | |||||||
\(572\) | −12.4799 | + | 8.19178i | −0.521811 | + | 0.342515i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −9.20567 | − | 54.3022i | −0.384237 | − | 2.26653i | ||||
\(575\) | 11.6386 | − | 6.71958i | 0.485365 | − | 0.280226i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 24.2438 | + | 24.2438i | 1.00928 | + | 1.00928i | 0.999956 | + | 0.00932743i | \(0.00296906\pi\) |
0.00932743 | + | 0.999956i | \(0.497031\pi\) | |||||||
\(578\) | 2.48547 | + | 3.00211i | 0.103382 | + | 0.124871i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.0647806 | + | 0.873097i | 0.00268987 | + | 0.0362534i | ||||
\(581\) | −23.2084 | − | 13.3993i | −0.962845 | − | 0.555899i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.40474 | + | 16.4387i | −0.182426 | + | 0.680822i | ||||
\(584\) | −12.5244 | + | 43.2927i | −0.518264 | + | 1.79146i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.64127 | + | 3.50194i | −0.315658 | + | 0.144664i | ||||
\(587\) | −0.397645 | + | 1.48403i | −0.0164125 | + | 0.0612525i | −0.973646 | − | 0.228063i | \(-0.926761\pi\) |
0.957234 | + | 0.289315i | \(0.0934276\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.25536 | − | 12.5666i | 0.298952 | − | 0.517800i | ||||
\(590\) | 4.76509 | + | 1.77007i | 0.196176 | + | 0.0728726i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.37368 | + | 16.9690i | 0.303056 | + | 0.697424i | ||||
\(593\) | −4.86193 | + | 4.86193i | −0.199656 | + | 0.199656i | −0.799852 | − | 0.600197i | \(-0.795089\pi\) |
0.600197 | + | 0.799852i | \(0.295089\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 49.5667 | − | 28.6174i | 2.03204 | − | 1.17320i | ||||
\(596\) | −21.3443 | − | 31.3561i | −0.874297 | − | 1.28440i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −32.4418 | − | 12.6752i | −1.32665 | − | 0.518328i | ||||
\(599\) | 4.73413i | 0.193431i | 0.995312 | + | 0.0967156i | \(0.0308337\pi\) | ||||
−0.995312 | + | 0.0967156i | \(0.969166\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.84939 | − | 10.1314i | −0.238602 | − | 0.413270i | 0.721712 | − | 0.692194i | \(-0.243356\pi\) |
−0.960313 | + | 0.278924i | \(0.910022\pi\) | |||||||
\(602\) | −55.7577 | − | 5.24937i | −2.27252 | − | 0.213948i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 20.2692 | + | 9.77959i | 0.824742 | + | 0.397926i | ||||
\(605\) | 17.1193 | − | 4.58710i | 0.695998 | − | 0.186492i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 5.29055 | + | 3.05450i | 0.214737 | + | 0.123978i | 0.603511 | − | 0.797355i | \(-0.293768\pi\) |
−0.388774 | + | 0.921333i | \(0.627101\pi\) | |||||||
\(608\) | 6.95757 | − | 13.7191i | 0.282167 | − | 0.556383i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.35521 | + | 1.07938i | −0.0953596 | + | 0.0437027i | ||||
\(611\) | −9.16926 | − | 2.62276i | −0.370948 | − | 0.106105i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 34.2679 | + | 9.18205i | 1.38407 | + | 0.370860i | 0.872597 | − | 0.488442i | \(-0.162434\pi\) |
0.511470 | + | 0.859301i | \(0.329101\pi\) | |||||||
\(614\) | −4.90505 | + | 6.90762i | −0.197952 | + | 0.278769i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 25.0156 | − | 13.7895i | 1.00791 | − | 0.555593i | ||||
\(617\) | −24.2158 | + | 6.48861i | −0.974892 | + | 0.261221i | −0.710892 | − | 0.703301i | \(-0.751709\pi\) |
−0.264000 | + | 0.964523i | \(0.585042\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −10.1532 | + | 10.1532i | −0.408091 | + | 0.408091i | −0.881072 | − | 0.472982i | \(-0.843178\pi\) |
0.472982 | + | 0.881072i | \(0.343178\pi\) | |||||||
\(620\) | 9.28466 | + | 26.5971i | 0.372881 | + | 1.06816i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 32.3695 | − | 5.48749i | 1.29790 | − | 0.220028i | ||||
\(623\) | −66.4430 | −2.66198 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 30.9664 | 1.23866 | ||||||||
\(626\) | 32.0716 | − | 5.43699i | 1.28184 | − | 0.217306i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.41420 | + | 18.3743i | 0.255954 | + | 0.733213i | ||||
\(629\) | 14.5375 | − | 14.5375i | 0.579648 | − | 0.579648i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13.5488 | + | 3.63038i | −0.539368 | + | 0.144523i | −0.518211 | − | 0.855253i | \(-0.673402\pi\) |
−0.0211573 | + | 0.999776i | \(0.506735\pi\) | |||||||
\(632\) | 13.5403 | + | 24.5636i | 0.538604 | + | 0.977088i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 15.4819 | − | 21.8027i | 0.614866 | − | 0.865895i | ||||
\(635\) | 41.1494 | + | 11.0260i | 1.63297 | + | 0.437552i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −31.1606 | + | 51.9369i | −1.23463 | + | 2.05781i | ||||
\(638\) | 0.441379 | − | 0.202281i | 0.0174744 | − | 0.00800838i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11.3569 | + | 27.6198i | 0.448920 | + | 1.09177i | ||||
\(641\) | 16.2594 | + | 9.38735i | 0.642206 | + | 0.370778i | 0.785464 | − | 0.618908i | \(-0.212424\pi\) |
−0.143258 | + | 0.989685i | \(0.545758\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 37.3113 | − | 9.99754i | 1.47142 | − | 0.394265i | 0.567999 | − | 0.823029i | \(-0.307718\pi\) |
0.903416 | + | 0.428765i | \(0.141051\pi\) | |||||||
\(644\) | 60.0243 | + | 28.9608i | 2.36529 | + | 1.14122i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −17.0177 | − | 1.60214i | −0.669551 | − | 0.0630355i | ||||
\(647\) | 22.8502 | + | 39.5777i | 0.898333 | + | 1.55596i | 0.829624 | + | 0.558322i | \(0.188555\pi\) |
0.0687090 | + | 0.997637i | \(0.478112\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 2.81900i | − | 0.110655i | ||||||
\(650\) | 6.26689 | + | 7.83381i | 0.245808 | + | 0.307267i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 28.0289 | + | 41.1761i | 1.09769 | + | 1.61258i | ||||
\(653\) | 17.6262 | − | 10.1765i | 0.689767 | − | 0.398237i | −0.113758 | − | 0.993509i | \(-0.536289\pi\) |
0.803525 | + | 0.595271i | \(0.202955\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 31.0915 | − | 31.0915i | 1.21484 | − | 1.21484i | ||||
\(656\) | −12.7265 | − | 29.2875i | −0.496887 | − | 1.14349i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 17.1064 | + | 6.35446i | 0.666879 | + | 0.247723i | ||||
\(659\) | 2.92527 | − | 5.06672i | 0.113952 | − | 0.197371i | −0.803408 | − | 0.595429i | \(-0.796982\pi\) |
0.917361 | + | 0.398057i | \(0.130316\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.08145 | − | 33.8924i | 0.353227 | − | 1.31826i | −0.529473 | − | 0.848327i | \(-0.677610\pi\) |
0.882701 | − | 0.469936i | \(-0.155723\pi\) | |||||||
\(662\) | 21.1667 | − | 9.70056i | 0.822667 | − | 0.377023i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −14.9256 | − | 4.31792i | −0.579225 | − | 0.167568i | ||||
\(665\) | −9.06274 | + | 33.8226i | −0.351438 | + | 1.31158i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.981038 | + | 0.566403i | 0.0379860 | + | 0.0219312i | ||||
\(668\) | 1.47674 | + | 19.9032i | 0.0571369 | + | 0.770076i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 11.6297 | + | 14.0471i | 0.449296 | + | 0.542687i | ||||
\(671\) | 1.01594 | + | 1.01594i | 0.0392200 | + | 0.0392200i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −36.8546 | + | 21.2780i | −1.42064 | + | 0.820207i | −0.996353 | − | 0.0853213i | \(-0.972808\pi\) |
−0.424286 | + | 0.905528i | \(0.639475\pi\) | |||||||
\(674\) | −6.50928 | − | 38.3968i | −0.250728 | − | 1.47899i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.70792 | − | 25.3657i | 0.219535 | − | 0.975605i | ||||
\(677\) | − | 28.9422i | − | 1.11234i | −0.831069 | − | 0.556169i | \(-0.812271\pi\) | ||
0.831069 | − | 0.556169i | \(-0.187729\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.66661 | + | 3.84897i | −0.255841 | + | 0.147710i | ||||
\(680\) | 23.9249 | − | 22.9954i | 0.917478 | − | 0.881832i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 12.0338 | − | 9.96291i | 0.460798 | − | 0.381499i | ||||
\(683\) | −8.32432 | − | 31.0668i | −0.318521 | − | 1.18874i | −0.920666 | − | 0.390351i | \(-0.872354\pi\) |
0.602145 | − | 0.798387i | \(-0.294313\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.71306 | − | 3.87578i | −0.256493 | − | 0.148086i | ||||
\(686\) | 39.1384 | − | 55.1172i | 1.49431 | − | 2.10438i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −32.1152 | + | 4.79204i | −1.22438 | + | 0.182695i | ||||
\(689\) | −14.3870 | − | 25.9149i | −0.548103 | − | 0.987281i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.974151 | + | 3.63558i | −0.0370584 | + | 0.138304i | −0.981977 | − | 0.189003i | \(-0.939474\pi\) |
0.944918 | + | 0.327307i | \(0.106141\pi\) | |||||||
\(692\) | −3.95660 | + | 20.8269i | −0.150407 | + | 0.791718i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −9.63880 | + | 25.9480i | −0.365884 | + | 0.984973i | ||||
\(695\) | 2.58459 | + | 9.64581i | 0.0980389 | + | 0.365886i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −25.0908 | + | 25.0908i | −0.950383 | + | 0.950383i | ||||
\(698\) | 0.811513 | − | 8.61972i | 0.0307162 | − | 0.326261i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −10.8017 | − | 15.8684i | −0.408266 | − | 0.599768i | ||||
\(701\) | 26.5127 | 1.00137 | 0.500685 | − | 0.865630i | \(-0.333082\pi\) | ||||
0.500685 | + | 0.865630i | \(0.333082\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 12.5779i | 0.474385i | ||||||||
\(704\) | 12.1653 | − | 11.2377i | 0.458498 | − | 0.423536i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.83998 | + | 19.5438i | −0.0692484 | + | 0.735542i | ||||
\(707\) | 9.85248 | + | 9.85248i | 0.370541 | + | 0.370541i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.29377 | + | 1.41846i | −0.198812 | + | 0.0532715i | −0.356851 | − | 0.934161i | \(-0.616150\pi\) |
0.158039 | + | 0.987433i | \(0.449483\pi\) | |||||||
\(710\) | 33.3153 | + | 12.3755i | 1.25030 | + | 0.464445i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −37.4006 | + | 9.23150i | −1.40165 | + | 0.345965i | ||||
\(713\) | 35.2085 | + | 9.43410i | 1.31857 | + | 0.353310i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.1364 | − | 16.8948i | 0.379079 | − | 0.631828i | ||||
\(716\) | 20.8285 | − | 24.1670i | 0.778397 | − | 0.903163i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 20.8264 | + | 14.7887i | 0.777236 | + | 0.551910i | ||||
\(719\) | 10.1805 | − | 17.6332i | 0.379670 | − | 0.657608i | −0.611344 | − | 0.791365i | \(-0.709371\pi\) |
0.991014 | + | 0.133757i | \(0.0427041\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −47.7137 | + | 12.7849i | −1.77695 | + | 0.476133i | ||||
\(722\) | −12.6423 | + | 10.4667i | −0.470497 | + | 0.389529i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −13.9085 | + | 4.85526i | −0.516906 | + | 0.180444i | ||||
\(725\) | −0.163140 | − | 0.282568i | −0.00605888 | − | 0.0104943i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.4107 | 0.608639 | 0.304320 | − | 0.952570i | \(-0.401571\pi\) | ||||
0.304320 | + | 0.952570i | \(0.401571\pi\) | |||||||
\(728\) | −14.6264 | + | 47.5511i | −0.542089 | + | 1.76236i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −9.94168 | − | 58.6438i | −0.367958 | − | 2.17050i | ||||
\(731\) | 18.0406 | + | 31.2472i | 0.667256 | + | 1.15572i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −26.6302 | + | 26.6302i | −0.983610 | + | 0.983610i | −0.999868 | − | 0.0162577i | \(-0.994825\pi\) |
0.0162577 | + | 0.999868i | \(0.494825\pi\) | |||||||
\(734\) | −2.15788 | + | 1.78653i | −0.0796488 | + | 0.0659420i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 37.8112 | + | 7.96228i | 1.39374 | + | 0.293494i | ||||
\(737\) | 5.05671 | − | 8.75848i | 0.186266 | − | 0.322623i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.2372 | − | 4.35076i | −0.597296 | − | 0.160045i | −0.0525107 | − | 0.998620i | \(-0.516722\pi\) |
−0.544786 | + | 0.838575i | \(0.683389\pi\) | |||||||
\(740\) | −18.4969 | − | 15.9417i | −0.679960 | − | 0.586029i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 23.6293 | + | 51.5593i | 0.867459 | + | 1.89280i | ||||
\(743\) | −13.7938 | − | 3.69604i | −0.506046 | − | 0.135594i | −0.00324119 | − | 0.999995i | \(-0.501032\pi\) |
−0.502804 | + | 0.864400i | \(0.667698\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 43.3546 | + | 25.0308i | 1.58839 | + | 0.917058i | ||||
\(746\) | 27.2500 | + | 10.1225i | 0.997694 | + | 0.370609i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −16.5745 | − | 7.99697i | −0.606025 | − | 0.292398i | ||||
\(749\) | −35.0801 | − | 35.0801i | −1.28180 | − | 1.28180i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −20.9053 | − | 36.2090i | −0.762844 | − | 1.32129i | −0.941379 | − | 0.337351i | \(-0.890469\pi\) |
0.178534 | − | 0.983934i | \(-0.442864\pi\) | |||||||
\(752\) | 10.5120 | + | 1.20016i | 0.383335 | + | 0.0437654i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.307734 | + | 0.787636i | −0.0112070 | + | 0.0286840i | ||||
\(755\) | −29.7022 | −1.08097 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −33.0464 | + | 19.0794i | −1.20109 | + | 0.693451i | −0.960798 | − | 0.277249i | \(-0.910577\pi\) |
−0.240294 | + | 0.970700i | \(0.577244\pi\) | |||||||
\(758\) | −0.814296 | + | 8.64928i | −0.0295766 | + | 0.314156i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.402125 | + | 20.2978i | −0.0145866 | + | 0.736279i | ||||
\(761\) | 0.805403 | + | 3.00580i | 0.0291958 | + | 0.108960i | 0.978986 | − | 0.203927i | \(-0.0653705\pi\) |
−0.949790 | + | 0.312887i | \(0.898704\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −17.4711 | + | 30.2608i | −0.632495 | + | 1.09551i | ||||
\(764\) | −11.4638 | − | 2.17784i | −0.414744 | − | 0.0787914i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.20070 | + | 15.7120i | 0.260172 | + | 0.567697i | ||||
\(767\) | 3.41291 | + | 3.52955i | 0.123233 | + | 0.127445i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.20764 | − | 8.23902i | 0.0796094 | − | 0.297106i | −0.914629 | − | 0.404293i | \(-0.867518\pi\) |
0.994239 | + | 0.107187i | \(0.0341842\pi\) | |||||||
\(770\) | −21.8269 | + | 30.7380i | −0.786586 | + | 1.10772i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 36.2152 | − | 2.68704i | 1.30341 | − | 0.0967086i | ||||
\(773\) | 7.00923 | + | 26.1588i | 0.252105 | + | 0.940867i | 0.969678 | + | 0.244385i | \(0.0785860\pi\) |
−0.717574 | + | 0.696483i | \(0.754747\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.42379 | − | 7.42379i | −0.266670 | − | 0.266670i | ||||
\(776\) | −3.21784 | + | 3.09282i | −0.115514 | + | 0.111026i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −41.7785 | + | 7.08257i | −1.49783 | + | 0.253922i | ||||
\(779\) | − | 21.7087i | − | 0.777794i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 19.7092i | − | 0.705250i | ||||||
\(782\) | −7.17657 | − | 42.3330i | −0.256633 | − | 1.51382i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 24.6410 | − | 62.5124i | 0.880037 | − | 2.23259i | ||||
\(785\) | −18.1623 | − | 18.1623i | −0.648241 | − | 0.648241i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.25972 | − | 8.43338i | −0.0805502 | − | 0.300617i | 0.913884 | − | 0.405975i | \(-0.133068\pi\) |
−0.994434 | + | 0.105357i | \(0.966401\pi\) | |||||||
\(788\) | 16.0461 | − | 1.19056i | 0.571617 | − | 0.0424119i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −30.1826 | − | 21.4325i | −1.07385 | − | 0.762534i | ||||
\(791\) | 0.943526 | − | 3.52129i | 0.0335479 | − | 0.125203i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.50199 | − | 0.0420367i | −0.0888484 | − | 0.00149277i | ||||
\(794\) | −14.9544 | + | 6.85351i | −0.530712 | + | 0.243222i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.22494 | + | 6.44786i | −0.0434168 | + | 0.228538i | ||||
\(797\) | −15.5889 | + | 27.0008i | −0.552188 | + | 0.956418i | 0.445928 | + | 0.895069i | \(0.352874\pi\) |
−0.998116 | + | 0.0613490i | \(0.980460\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.04288 | − | 11.3562i | −0.107649 | − | 0.401752i | ||||
\(800\) | −8.28497 | − | 7.43148i | −0.292918 | − | 0.262743i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 35.6162 | + | 3.35312i | 1.25765 | + | 0.118403i | ||||
\(803\) | −28.5667 | + | 16.4930i | −1.00810 | + | 0.582026i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −87.9587 | −3.10014 | ||||||||
\(806\) | −3.00512 | + | 27.0432i | −0.105851 | + | 0.952556i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.91482 | + | 4.17704i | 0.243263 | + | 0.146948i | ||||
\(809\) | −3.86999 | − | 6.70302i | −0.136062 | − | 0.235666i | 0.789941 | − | 0.613183i | \(-0.210111\pi\) |
−0.926003 | + | 0.377517i | \(0.876778\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.65096 | + | 7.65096i | 0.268661 | + | 0.268661i | 0.828561 | − | 0.559899i | \(-0.189160\pi\) |
−0.559899 | + | 0.828561i | \(0.689160\pi\) | |||||||
\(812\) | 0.703122 | − | 1.45729i | 0.0246748 | − | 0.0511409i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −4.71551 | + | 12.6943i | −0.165279 | + | 0.444936i | ||||
\(815\) | −56.9323 | − | 32.8699i | −1.99425 | − | 1.15138i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −21.3220 | − | 5.71322i | −0.745963 | − | 0.199880i | ||||
\(818\) | 26.6644 | − | 12.2201i | 0.932300 | − | 0.427267i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 31.9246 | + | 27.5144i | 1.11485 | + | 0.960844i | ||||
\(821\) | 2.11509 | + | 0.566738i | 0.0738173 | + | 0.0197793i | 0.295539 | − | 0.955331i | \(-0.404501\pi\) |
−0.221721 | + | 0.975110i | \(0.571168\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 22.8632 | − | 39.6002i | 0.796960 | − | 1.38037i | −0.124627 | − | 0.992204i | \(-0.539774\pi\) |
0.921587 | − | 0.388171i | \(-0.126893\pi\) | |||||||
\(824\) | −25.0816 | + | 13.8258i | −0.873759 | + | 0.481646i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −5.99106 | − | 7.23637i | −0.208456 | − | 0.251786i | ||||
\(827\) | −1.50831 | + | 1.50831i | −0.0524490 | + | 0.0524490i | −0.732845 | − | 0.680396i | \(-0.761808\pi\) |
0.680396 | + | 0.732845i | \(0.261808\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.20284 | − | 3.81543i | −0.0765077 | − | 0.132515i | 0.825233 | − | 0.564792i | \(-0.191044\pi\) |
−0.901741 | + | 0.432277i | \(0.857710\pi\) | |||||||
\(830\) | 20.2180 | − | 3.42750i | 0.701778 | − | 0.118970i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.62645 | + | 28.7985i | −0.0563871 | + | 0.998409i | ||||
\(833\) | −74.6650 | −2.58699 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −13.1702 | − | 22.8114i | −0.455772 | − | 0.789420i | ||||
\(836\) | 10.6297 | − | 3.71067i | 0.367635 | − | 0.128336i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 28.0810 | + | 33.9180i | 0.970042 | + | 1.17168i | ||||
\(839\) | 9.23752 | − | 2.47519i | 0.318915 | − | 0.0854529i | −0.0958107 | − | 0.995400i | \(-0.530544\pi\) |
0.414725 | + | 0.909947i | \(0.363878\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.4862 | + | 25.0909i | −0.499526 | + | 0.865204i | ||||
\(842\) | 0.684322 | − | 0.963707i | 0.0235833 | − | 0.0332115i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 18.6892 | + | 16.1074i | 0.643309 | + | 0.554440i | ||||
\(845\) | 7.76283 | + | 33.4251i | 0.267050 | + | 1.14986i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −31.6390 | − | 8.47765i | −1.08713 | − | 0.291295i | ||||
\(848\) | 20.4644 | + | 25.7396i | 0.702752 | + | 0.883900i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.30644 | + | 11.5931i | −0.147710 | + | 0.397640i | ||||
\(851\) | −30.5188 | + | 8.17749i | −1.04617 | + | 0.280321i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −28.6500 | − | 28.6500i | −0.980956 | − | 0.980956i | 0.0188661 | − | 0.999822i | \(-0.493994\pi\) |
−0.999822 | + | 0.0188661i | \(0.993994\pi\) | |||||||
\(854\) | 4.76704 | + | 0.448798i | 0.163125 | + | 0.0153575i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −24.6205 | − | 14.8725i | −0.841510 | − | 0.508332i | ||||
\(857\) | 11.6602i | 0.398306i | 0.979968 | + | 0.199153i | \(0.0638191\pi\) | ||||
−0.979968 | + | 0.199153i | \(0.936181\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 29.0257 | 0.990343 | 0.495172 | − | 0.868795i | \(-0.335105\pi\) | ||||
0.495172 | + | 0.868795i | \(0.335105\pi\) | |||||||
\(860\) | 35.4261 | − | 24.1148i | 1.20802 | − | 0.822307i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −12.2589 | − | 1.15413i | −0.417540 | − | 0.0393098i | ||||
\(863\) | −8.05746 | + | 8.05746i | −0.274279 | + | 0.274279i | −0.830820 | − | 0.556541i | \(-0.812128\pi\) |
0.556541 | + | 0.830820i | \(0.312128\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −7.24145 | − | 27.0255i | −0.246217 | − | 0.918894i | ||||
\(866\) | −13.3347 | − | 4.95339i | −0.453132 | − | 0.168323i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 9.71718 | − | 51.1495i | 0.329823 | − | 1.73613i | ||||
\(869\) | −5.31333 | + | 19.8296i | −0.180242 | + | 0.672673i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.27243 | + | 17.0882i | 0.144766 | + | 0.579011i | ||||
\(872\) | −5.63002 | + | 19.4611i | −0.190657 | + | 0.659036i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 21.4179 | + | 15.2087i | 0.724472 | + | 0.514443i | ||||
\(875\) | −33.8181 | − | 19.5249i | −1.14326 | − | 0.660062i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.68176 | + | 6.27643i | 0.0567891 | + | 0.211940i | 0.988490 | − | 0.151287i | \(-0.0483417\pi\) |
−0.931701 | + | 0.363227i | \(0.881675\pi\) | |||||||
\(878\) | 6.92454 | + | 8.36389i | 0.233692 | + | 0.282268i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.01559 | + | 20.3349i | −0.270205 | + | 0.685490i | ||||
\(881\) | −16.3109 | + | 9.41711i | −0.549528 | + | 0.317270i | −0.748932 | − | 0.662647i | \(-0.769433\pi\) |
0.199403 | + | 0.979917i | \(0.436100\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 7.15931i | 0.240930i | 0.992718 | + | 0.120465i | \(0.0384385\pi\) | ||||
−0.992718 | + | 0.120465i | \(0.961561\pi\) | |||||||
\(884\) | 30.4340 | − | 10.0538i | 1.02361 | − | 0.338145i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 8.50365 | − | 1.44160i | 0.285686 | − | 0.0484314i | ||||
\(887\) | 5.21027 | − | 3.00815i | 0.174944 | − | 0.101004i | −0.409971 | − | 0.912098i | \(-0.634461\pi\) |
0.584915 | + | 0.811095i | \(0.301128\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −55.6727 | − | 55.6727i | −1.86720 | − | 1.86720i | ||||
\(890\) | 39.1626 | − | 32.4231i | 1.31273 | − | 1.08682i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −50.4418 | + | 3.74260i | −1.68892 | + | 0.125312i | ||||
\(893\) | 6.22906 | + | 3.59635i | 0.208447 | + | 0.120347i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −10.8981 | + | 40.6721i | −0.364282 | + | 1.35952i | ||||
\(896\) | 7.34559 | − | 54.7014i | 0.245399 | − | 1.82744i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 14.2247 | + | 31.0383i | 0.474684 | + | 1.03576i | ||||
\(899\) | 0.229045 | − | 0.854807i | 0.00763907 | − | 0.0285094i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 18.2699 | − | 31.6443i | 0.608658 | − | 1.05423i | ||||
\(902\) | 8.13868 | − | 21.9096i | 0.270989 | − | 0.729511i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.0418655 | − | 2.11321i | 0.00139242 | − | 0.0702845i | ||||
\(905\) | 13.7481 | − | 13.7481i | 0.457002 | − | 0.457002i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.90224 | − | 4.56236i | 0.262390 | − | 0.151491i | −0.363035 | − | 0.931776i | \(-0.618259\pi\) |
0.625424 | + | 0.780285i | \(0.284926\pi\) | |||||||
\(908\) | 36.4977 | − | 24.8442i | 1.21122 | − | 0.824485i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −9.88541 | − | 64.9111i | −0.327698 | − | 2.15178i | ||||
\(911\) | 33.8691i | 1.12213i | 0.827770 | + | 0.561067i | \(0.189609\pi\) | ||||
−0.827770 | + | 0.561067i | \(0.810391\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.68614 | − | 9.84868i | −0.188184 | − | 0.325944i | ||||
\(914\) | −2.63524 | + | 27.9910i | −0.0871660 | + | 0.925860i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −29.8560 | − | 14.4051i | −0.986469 | − | 0.475957i | ||||
\(917\) | −78.4941 | + | 21.0324i | −2.59210 | + | 0.694552i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 15.7907 | + | 9.11677i | 0.520887 | + | 0.300734i | 0.737298 | − | 0.675568i | \(-0.236102\pi\) |
−0.216410 | + | 0.976302i | \(0.569435\pi\) | |||||||
\(920\) | −49.5117 | + | 12.2209i | −1.63235 | + | 0.402910i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 7.26276 | + | 15.8474i | 0.239186 | + | 0.521907i | ||||
\(923\) | 23.8615 | + | 24.6770i | 0.785411 | + | 0.812253i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 8.79030 | + | 2.35535i | 0.289023 | + | 0.0774436i | ||||
\(926\) | −9.60830 | − | 6.82279i | −0.315748 | − | 0.224211i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.193311 | − | 0.917996i | 0.00634576 | − | 0.0301347i | ||||
\(929\) | −41.6902 | + | 11.1709i | −1.36781 | + | 0.366504i | −0.866679 | − | 0.498866i | \(-0.833750\pi\) |
−0.501133 | + | 0.865370i | \(0.667083\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 32.3002 | − | 32.3002i | 1.05860 | − | 1.05860i | ||||
\(932\) | −3.23730 | − | 9.27366i | −0.106041 | − | 0.303769i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −5.55814 | − | 32.7862i | −0.181868 | − | 1.07280i | ||||
\(935\) | 24.2881 | 0.794305 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 12.5702 | 0.410650 | 0.205325 | − | 0.978694i | \(-0.434175\pi\) | ||||
0.205325 | + | 0.978694i | \(0.434175\pi\) | |||||||
\(938\) | −5.63333 | − | 33.2297i | −0.183935 | − | 1.08499i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −13.1837 | + | 4.60224i | −0.430005 | + | 0.150108i | ||||
\(941\) | −19.4028 | + | 19.4028i | −0.632512 | + | 0.632512i | −0.948697 | − | 0.316185i | \(-0.897598\pi\) |
0.316185 | + | 0.948697i | \(0.397598\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 52.6736 | − | 14.1138i | 1.71529 | − | 0.459610i | ||||
\(944\) | −4.37776 | − | 3.24094i | −0.142484 | − | 0.105484i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −19.3775 | − | 13.7598i | −0.630016 | − | 0.447370i | ||||
\(947\) | 23.2132 | + | 6.21995i | 0.754327 | + | 0.202121i | 0.615437 | − | 0.788186i | \(-0.288980\pi\) |
0.138890 | + | 0.990308i | \(0.455646\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 15.7994 | − | 55.2354i | 0.512871 | − | 1.79302i | ||||
\(950\) | −3.15222 | − | 6.87817i | −0.102271 | − | 0.223157i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −59.5423 | + | 14.6967i | −1.92978 | + | 0.476322i | ||||
\(953\) | 7.54135 | + | 4.35400i | 0.244288 | + | 0.141040i | 0.617146 | − | 0.786849i | \(-0.288289\pi\) |
−0.372858 | + | 0.927889i | \(0.621622\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 14.8757 | − | 3.98592i | 0.481365 | − | 0.128981i | ||||
\(956\) | −12.5477 | + | 26.0063i | −0.405821 | + | 0.841104i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.422409 | − | 4.48674i | 0.0136474 | − | 0.144960i | ||||
\(959\) | 7.16303 | + | 12.4067i | 0.231306 | + | 0.400634i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 2.52438i | 0.0814317i | ||||||||
\(962\) | −9.46468 | − | 21.6030i | −0.305154 | − | 0.696509i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 3.02295 | + | 4.44090i | 0.0973626 | + | 0.143032i | ||||
\(965\) | −41.5070 | + | 23.9641i | −1.33616 | + | 0.771430i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.8150 | + | 32.8150i | −1.05526 | + | 1.05526i | −0.0568771 | + | 0.998381i | \(0.518114\pi\) |
−0.998381 | + | 0.0568771i | \(0.981886\pi\) | |||||||
\(968\) | −18.9874 | − | 0.376164i | −0.610277 | − | 0.0120904i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.05118 | − | 5.52184i | 0.0658593 | − | 0.177296i | ||||
\(971\) | −0.777271 | + | 1.34627i | −0.0249438 | + | 0.0432040i | −0.878228 | − | 0.478242i | \(-0.841274\pi\) |
0.853284 | + | 0.521446i | \(0.174607\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.77670 | − | 17.8269i | 0.153134 | − | 0.571504i | ||||
\(974\) | 10.0380 | + | 21.9029i | 0.321638 | + | 0.701816i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.74571 | − | 0.409699i | 0.0878880 | − | 0.0131141i | ||||
\(977\) | −10.8059 | + | 40.3282i | −0.345712 | + | 1.29021i | 0.546067 | + | 0.837742i | \(0.316125\pi\) |
−0.891778 | + | 0.452472i | \(0.850542\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −24.4182 | − | 14.0979i | −0.780409 | − | 0.450569i | ||||
\(980\) | 6.56184 | + | 88.4388i | 0.209610 | + | 2.82508i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13.2539 | + | 10.9730i | −0.422950 | + | 0.350164i | ||||
\(983\) | 18.5465 | + | 18.5465i | 0.591540 | + | 0.591540i | 0.938047 | − | 0.346507i | \(-0.112632\pi\) |
−0.346507 | + | 0.938047i | \(0.612632\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −18.3907 | + | 10.6179i | −0.585976 | + | 0.338313i | ||||
\(986\) | −1.02778 | + | 0.174235i | −0.0327311 | + | 0.00554879i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −8.81653 | + | 17.5151i | −0.280491 | + | 0.557230i | ||||
\(989\) | − | 55.4498i | − | 1.76320i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −38.3423 | + | 22.1369i | −1.21798 | + | 0.703203i | −0.964486 | − | 0.264133i | \(-0.914914\pi\) |
−0.253497 | + | 0.967336i | \(0.581581\pi\) | |||||||
\(992\) | −1.63687 | − | 30.1420i | −0.0519707 | − | 0.957010i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −41.8868 | − | 50.5934i | −1.32857 | − | 1.60473i | ||||
\(995\) | −2.24191 | − | 8.36691i | −0.0710733 | − | 0.265249i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 11.1621 | + | 6.44442i | 0.353506 | + | 0.204097i | 0.666228 | − | 0.745748i | \(-0.267908\pi\) |
−0.312722 | + | 0.949845i | \(0.601241\pi\) | |||||||
\(998\) | −47.1880 | − | 33.5079i | −1.49371 | − | 1.06067i | ||||
\(999\) | 0 | 0 |
(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 | 936.2.ed.c.739.12 | 48 | ||
3.2 | odd | 2 | 312.2.bt.c.115.1 | yes | 48 | ||
8.3 | odd | 2 | inner | 936.2.ed.c.739.3 | 48 | ||
13.6 | odd | 12 | inner | 936.2.ed.c.19.3 | 48 | ||
24.11 | even | 2 | 312.2.bt.c.115.10 | yes | 48 | ||
39.32 | even | 12 | 312.2.bt.c.19.10 | yes | 48 | ||
104.19 | even | 12 | inner | 936.2.ed.c.19.12 | 48 | ||
312.227 | odd | 12 | 312.2.bt.c.19.1 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
312.2.bt.c.19.1 | ✓ | 48 | 312.227 | odd | 12 | ||
312.2.bt.c.19.10 | yes | 48 | 39.32 | even | 12 | ||
312.2.bt.c.115.1 | yes | 48 | 3.2 | odd | 2 | ||
312.2.bt.c.115.10 | yes | 48 | 24.11 | even | 2 | ||
936.2.ed.c.19.3 | 48 | 13.6 | odd | 12 | inner | ||
936.2.ed.c.19.12 | 48 | 104.19 | even | 12 | inner | ||
936.2.ed.c.739.3 | 48 | 8.3 | odd | 2 | inner | ||
936.2.ed.c.739.12 | 48 | 1.1 | even | 1 | trivial |