Newspace parameters
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.k (of order \(6\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 12.0.2346760387617129.1 |
Defining polynomial: |
\( x^{12} - 3 x^{11} + x^{10} + 10 x^{9} - 15 x^{8} - 10 x^{7} + 45 x^{6} - 20 x^{5} - 60 x^{4} + 80 x^{3} + 16 x^{2} - 96 x + 64 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 23.1 | ||
Root | \(1.21245 - 0.727987i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 91.23 |
Dual form | 91.2.k.b.4.6 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.30327i | − | 1.62866i | −0.580405 | − | 0.814328i | \(-0.697106\pi\) | ||
0.580405 | − | 0.814328i | \(-0.302894\pi\) | |||||||
\(3\) | 0.736680 | − | 1.27597i | 0.425323 | − | 0.736680i | −0.571128 | − | 0.820861i | \(-0.693494\pi\) |
0.996451 | + | 0.0841807i | \(0.0268273\pi\) | |||||||
\(4\) | −3.30504 | −1.65252 | ||||||||
\(5\) | 0.733776 | + | 0.423646i | 0.328155 | + | 0.189460i | 0.655022 | − | 0.755610i | \(-0.272660\pi\) |
−0.326867 | + | 0.945070i | \(0.605993\pi\) | |||||||
\(6\) | −2.93889 | − | 1.69677i | −1.19980 | − | 0.692704i | ||||
\(7\) | −0.357777 | + | 2.62145i | −0.135227 | + | 0.990815i | ||||
\(8\) | 3.00585i | 1.06273i | ||||||||
\(9\) | 0.414604 | + | 0.718115i | 0.138201 | + | 0.239372i | ||||
\(10\) | 0.975769 | − | 1.69008i | 0.308565 | − | 0.534451i | ||||
\(11\) | 1.30198 | + | 0.751701i | 0.392563 | + | 0.226646i | 0.683270 | − | 0.730166i | \(-0.260557\pi\) |
−0.290707 | + | 0.956812i | \(0.593890\pi\) | |||||||
\(12\) | −2.43476 | + | 4.21712i | −0.702853 | + | 1.21738i | ||||
\(13\) | −2.92329 | − | 2.11054i | −0.810774 | − | 0.585360i | ||||
\(14\) | 6.03790 | + | 0.824057i | 1.61370 | + | 0.220238i | ||||
\(15\) | 1.08112 | − | 0.624183i | 0.279143 | − | 0.161163i | ||||
\(16\) | 0.313194 | 0.0782985 | ||||||||
\(17\) | −2.07140 | −0.502389 | −0.251194 | − | 0.967937i | \(-0.580823\pi\) | ||||
−0.251194 | + | 0.967937i | \(0.580823\pi\) | |||||||
\(18\) | 1.65401 | − | 0.954943i | 0.389854 | − | 0.225082i | ||||
\(19\) | 0.0410731 | − | 0.0237136i | 0.00942282 | − | 0.00544027i | −0.495281 | − | 0.868733i | \(-0.664935\pi\) |
0.504704 | + | 0.863292i | \(0.331602\pi\) | |||||||
\(20\) | −2.42516 | − | 1.40016i | −0.542282 | − | 0.313086i | ||||
\(21\) | 3.08132 | + | 2.38768i | 0.672399 | + | 0.521035i | ||||
\(22\) | 1.73137 | − | 2.99882i | 0.369129 | − | 0.639350i | ||||
\(23\) | 7.81870 | 1.63031 | 0.815156 | − | 0.579241i | \(-0.196651\pi\) | ||||
0.815156 | + | 0.579241i | \(0.196651\pi\) | |||||||
\(24\) | 3.83536 | + | 2.21435i | 0.782891 | + | 0.452002i | ||||
\(25\) | −2.14105 | − | 3.70840i | −0.428210 | − | 0.741681i | ||||
\(26\) | −4.86115 | + | 6.73311i | −0.953349 | + | 1.32047i | ||||
\(27\) | 5.64180 | 1.08577 | ||||||||
\(28\) | 1.18247 | − | 8.66399i | 0.223465 | − | 1.63734i | ||||
\(29\) | −0.679854 | − | 1.17754i | −0.126246 | − | 0.218664i | 0.795973 | − | 0.605331i | \(-0.206959\pi\) |
−0.922219 | + | 0.386668i | \(0.873626\pi\) | |||||||
\(30\) | −1.43766 | − | 2.49010i | −0.262480 | − | 0.454628i | ||||
\(31\) | −6.80787 | + | 3.93052i | −1.22273 | + | 0.705943i | −0.965499 | − | 0.260407i | \(-0.916143\pi\) |
−0.257230 | + | 0.966350i | \(0.582810\pi\) | |||||||
\(32\) | 5.29033i | 0.935206i | ||||||||
\(33\) | 1.91829 | − | 1.10753i | 0.333932 | − | 0.192796i | ||||
\(34\) | 4.77099i | 0.818218i | ||||||||
\(35\) | −1.37309 | + | 1.77199i | −0.232095 | + | 0.299520i | ||||
\(36\) | −1.37028 | − | 2.37340i | −0.228380 | − | 0.395566i | ||||
\(37\) | 6.70219i | 1.10183i | 0.834560 | + | 0.550917i | \(0.185722\pi\) | ||||
−0.834560 | + | 0.550917i | \(0.814278\pi\) | |||||||
\(38\) | −0.0546187 | − | 0.0946024i | −0.00886032 | − | 0.0153465i | ||||
\(39\) | −4.84652 | + | 2.17522i | −0.776064 | + | 0.348314i | ||||
\(40\) | −1.27341 | + | 2.20562i | −0.201345 | + | 0.348739i | ||||
\(41\) | −8.67622 | + | 5.00922i | −1.35500 | + | 0.782309i | −0.988945 | − | 0.148285i | \(-0.952625\pi\) |
−0.366054 | + | 0.930594i | \(0.619291\pi\) | |||||||
\(42\) | 5.49947 | − | 7.09710i | 0.848587 | − | 1.09511i | ||||
\(43\) | 4.63283 | − | 8.02430i | 0.706500 | − | 1.22369i | −0.259647 | − | 0.965704i | \(-0.583606\pi\) |
0.966147 | − | 0.257991i | \(-0.0830604\pi\) | |||||||
\(44\) | −4.30311 | − | 2.48440i | −0.648718 | − | 0.374537i | ||||
\(45\) | 0.702581i | 0.104735i | ||||||||
\(46\) | − | 18.0086i | − | 2.65522i | ||||||
\(47\) | −0.311781 | − | 0.180007i | −0.0454779 | − | 0.0262567i | 0.477089 | − | 0.878855i | \(-0.341692\pi\) |
−0.522567 | + | 0.852598i | \(0.675025\pi\) | |||||||
\(48\) | 0.230724 | − | 0.399625i | 0.0333021 | − | 0.0576810i | ||||
\(49\) | −6.74399 | − | 1.87579i | −0.963427 | − | 0.267970i | ||||
\(50\) | −8.54144 | + | 4.93141i | −1.20794 | + | 0.697406i | ||||
\(51\) | −1.52596 | + | 2.64304i | −0.213677 | + | 0.370100i | ||||
\(52\) | 9.66157 | + | 6.97543i | 1.33982 | + | 0.967318i | ||||
\(53\) | −1.35591 | − | 2.34850i | −0.186248 | − | 0.322591i | 0.757748 | − | 0.652547i | \(-0.226299\pi\) |
−0.943996 | + | 0.329956i | \(0.892966\pi\) | |||||||
\(54\) | − | 12.9946i | − | 1.76834i | ||||||
\(55\) | 0.636910 | + | 1.10316i | 0.0858809 | + | 0.148750i | ||||
\(56\) | −7.87968 | − | 1.07542i | −1.05297 | − | 0.143710i | ||||
\(57\) | − | 0.0698773i | − | 0.00925548i | ||||||
\(58\) | −2.71219 | + | 1.56588i | −0.356128 | + | 0.205611i | ||||
\(59\) | 1.64120i | 0.213666i | 0.994277 | + | 0.106833i | \(0.0340709\pi\) | ||||
−0.994277 | + | 0.106833i | \(0.965929\pi\) | |||||||
\(60\) | −3.57313 | + | 2.06295i | −0.461289 | + | 0.266325i | ||||
\(61\) | −2.26097 | − | 3.91612i | −0.289488 | − | 0.501407i | 0.684200 | − | 0.729295i | \(-0.260152\pi\) |
−0.973688 | + | 0.227887i | \(0.926818\pi\) | |||||||
\(62\) | 9.05305 | + | 15.6803i | 1.14974 | + | 1.99140i | ||||
\(63\) | −2.03084 | + | 0.829938i | −0.255861 | + | 0.104562i | ||||
\(64\) | 12.8114 | 1.60143 | ||||||||
\(65\) | −1.25091 | − | 2.78711i | −0.155157 | − | 0.345698i | ||||
\(66\) | −2.55093 | − | 4.41834i | −0.313998 | − | 0.543860i | ||||
\(67\) | −1.76900 | − | 1.02133i | −0.216117 | − | 0.124775i | 0.388034 | − | 0.921645i | \(-0.373154\pi\) |
−0.604151 | + | 0.796870i | \(0.706488\pi\) | |||||||
\(68\) | 6.84606 | 0.830206 | ||||||||
\(69\) | 5.75988 | − | 9.97641i | 0.693409 | − | 1.20102i | ||||
\(70\) | 4.08136 | + | 3.16260i | 0.487815 | + | 0.378003i | ||||
\(71\) | 12.3096 | + | 7.10697i | 1.46088 | + | 0.843442i | 0.999052 | − | 0.0435255i | \(-0.0138590\pi\) |
0.461832 | + | 0.886967i | \(0.347192\pi\) | |||||||
\(72\) | −2.15854 | + | 1.24624i | −0.254387 | + | 0.146870i | ||||
\(73\) | 5.85563 | − | 3.38075i | 0.685349 | − | 0.395687i | −0.116518 | − | 0.993189i | \(-0.537173\pi\) |
0.801867 | + | 0.597502i | \(0.203840\pi\) | |||||||
\(74\) | 15.4369 | 1.79451 | ||||||||
\(75\) | −6.30907 | −0.728509 | ||||||||
\(76\) | −0.135748 | + | 0.0783743i | −0.0155714 | + | 0.00899015i | ||||
\(77\) | −2.43637 | + | 3.14414i | −0.277650 | + | 0.358308i | ||||
\(78\) | 5.01012 | + | 11.1628i | 0.567284 | + | 1.26394i | ||||
\(79\) | −5.82952 | + | 10.0970i | −0.655873 | + | 1.13600i | 0.325801 | + | 0.945438i | \(0.394366\pi\) |
−0.981674 | + | 0.190567i | \(0.938967\pi\) | |||||||
\(80\) | 0.229814 | + | 0.132683i | 0.0256940 | + | 0.0148344i | ||||
\(81\) | 2.91240 | − | 5.04442i | 0.323600 | − | 0.560491i | ||||
\(82\) | 11.5376 | + | 19.9837i | 1.27411 | + | 2.20683i | ||||
\(83\) | − | 11.5362i | − | 1.26627i | −0.774043 | − | 0.633133i | \(-0.781768\pi\) | ||
0.774043 | − | 0.633133i | \(-0.218232\pi\) | |||||||
\(84\) | −10.1839 | − | 7.89138i | −1.11115 | − | 0.861020i | ||||
\(85\) | −1.51994 | − | 0.877541i | −0.164861 | − | 0.0951826i | ||||
\(86\) | −18.4821 | − | 10.6706i | −1.99298 | − | 1.15065i | ||||
\(87\) | −2.00334 | −0.214781 | ||||||||
\(88\) | −2.25950 | + | 3.91357i | −0.240863 | + | 0.417188i | ||||
\(89\) | − | 17.5112i | − | 1.85619i | −0.372350 | − | 0.928093i | \(-0.621448\pi\) | ||
0.372350 | − | 0.928093i | \(-0.378552\pi\) | |||||||
\(90\) | 1.61823 | 0.170576 | ||||||||
\(91\) | 6.57857 | − | 6.90814i | 0.689622 | − | 0.724170i | ||||
\(92\) | −25.8411 | −2.69412 | ||||||||
\(93\) | 11.5822i | 1.20101i | ||||||||
\(94\) | −0.414604 | + | 0.718115i | −0.0427631 | + | 0.0740679i | ||||
\(95\) | 0.0401846 | 0.00412286 | ||||||||
\(96\) | 6.75029 | + | 3.89728i | 0.688948 | + | 0.397764i | ||||
\(97\) | 0.369125 | + | 0.213115i | 0.0374790 | + | 0.0216385i | 0.518622 | − | 0.855003i | \(-0.326445\pi\) |
−0.481143 | + | 0.876642i | \(0.659778\pi\) | |||||||
\(98\) | −4.32044 | + | 15.5332i | −0.436431 | + | 1.56909i | ||||
\(99\) | 1.24663i | 0.125291i | ||||||||
\(100\) | 7.07624 | + | 12.2564i | 0.707624 | + | 1.22564i | ||||
\(101\) | 4.83499 | − | 8.37444i | 0.481099 | − | 0.833288i | −0.518666 | − | 0.854977i | \(-0.673571\pi\) |
0.999765 | + | 0.0216891i | \(0.00690441\pi\) | |||||||
\(102\) | 6.08763 | + | 3.51469i | 0.602765 | + | 0.348007i | ||||
\(103\) | −4.98912 | + | 8.64140i | −0.491592 | + | 0.851463i | −0.999953 | − | 0.00968129i | \(-0.996918\pi\) |
0.508361 | + | 0.861144i | \(0.330252\pi\) | |||||||
\(104\) | 6.34397 | − | 8.78695i | 0.622078 | − | 0.861631i | ||||
\(105\) | 1.24947 | + | 3.05741i | 0.121935 | + | 0.298373i | ||||
\(106\) | −5.40922 | + | 3.12301i | −0.525390 | + | 0.303334i | ||||
\(107\) | 9.86223 | 0.953417 | 0.476709 | − | 0.879061i | \(-0.341830\pi\) | ||||
0.476709 | + | 0.879061i | \(0.341830\pi\) | |||||||
\(108\) | −18.6464 | −1.79425 | ||||||||
\(109\) | −10.0507 | + | 5.80275i | −0.962679 | + | 0.555803i | −0.896996 | − | 0.442038i | \(-0.854256\pi\) |
−0.0656822 | + | 0.997841i | \(0.520922\pi\) | |||||||
\(110\) | 2.54087 | − | 1.46697i | 0.242263 | − | 0.139870i | ||||
\(111\) | 8.55178 | + | 4.93737i | 0.811699 | + | 0.468635i | ||||
\(112\) | −0.112054 | + | 0.821022i | −0.0105881 | + | 0.0775793i | ||||
\(113\) | 1.73879 | − | 3.01167i | 0.163572 | − | 0.283314i | −0.772576 | − | 0.634923i | \(-0.781032\pi\) |
0.936147 | + | 0.351609i | \(0.114365\pi\) | |||||||
\(114\) | −0.160946 | −0.0150740 | ||||||||
\(115\) | 5.73718 | + | 3.31236i | 0.534994 | + | 0.308879i | ||||
\(116\) | 2.24694 | + | 3.89182i | 0.208623 | + | 0.361346i | ||||
\(117\) | 0.303608 | − | 2.97429i | 0.0280686 | − | 0.274974i | ||||
\(118\) | 3.78011 | 0.347987 | ||||||||
\(119\) | 0.741100 | − | 5.43007i | 0.0679366 | − | 0.497774i | ||||
\(120\) | 1.87620 | + | 3.24967i | 0.171273 | + | 0.296653i | ||||
\(121\) | −4.36989 | − | 7.56887i | −0.397263 | − | 0.688079i | ||||
\(122\) | −9.01986 | + | 5.20762i | −0.816620 | + | 0.471476i | ||||
\(123\) | 14.7608i | 1.33093i | ||||||||
\(124\) | 22.5003 | − | 12.9905i | 2.02058 | − | 1.16658i | ||||
\(125\) | − | 7.86464i | − | 0.703435i | ||||||
\(126\) | 1.91157 | + | 4.67756i | 0.170296 | + | 0.416710i | ||||
\(127\) | −7.84992 | − | 13.5965i | −0.696567 | − | 1.20649i | −0.969649 | − | 0.244499i | \(-0.921376\pi\) |
0.273082 | − | 0.961991i | \(-0.411957\pi\) | |||||||
\(128\) | − | 18.9275i | − | 1.67297i | ||||||
\(129\) | −6.82583 | − | 11.8227i | −0.600981 | − | 1.04093i | ||||
\(130\) | −6.41945 | + | 2.88119i | −0.563023 | + | 0.252697i | ||||
\(131\) | 1.27259 | − | 2.20418i | 0.111186 | − | 0.192580i | −0.805063 | − | 0.593190i | \(-0.797868\pi\) |
0.916249 | + | 0.400610i | \(0.131202\pi\) | |||||||
\(132\) | −6.34003 | + | 3.66042i | −0.551829 | + | 0.318598i | ||||
\(133\) | 0.0474689 | + | 0.116155i | 0.00411608 | + | 0.0100719i | ||||
\(134\) | −2.35240 | + | 4.07447i | −0.203216 | + | 0.351981i | ||||
\(135\) | 4.13982 | + | 2.39013i | 0.356299 | + | 0.205709i | ||||
\(136\) | − | 6.22632i | − | 0.533902i | ||||||
\(137\) | − | 1.86472i | − | 0.159314i | −0.996822 | − | 0.0796571i | \(-0.974617\pi\) | ||
0.996822 | − | 0.0796571i | \(-0.0253825\pi\) | |||||||
\(138\) | −22.9783 | − | 13.2665i | −1.95605 | − | 1.12932i | ||||
\(139\) | −7.80462 | + | 13.5180i | −0.661979 | + | 1.14658i | 0.318116 | + | 0.948052i | \(0.396950\pi\) |
−0.980095 | + | 0.198530i | \(0.936383\pi\) | |||||||
\(140\) | 4.53813 | − | 5.85648i | 0.383542 | − | 0.494963i | ||||
\(141\) | −0.459366 | + | 0.265215i | −0.0386856 | + | 0.0223351i | ||||
\(142\) | 16.3692 | − | 28.3524i | 1.37368 | − | 2.37928i | ||||
\(143\) | −2.21957 | − | 4.94533i | −0.185610 | − | 0.413550i | ||||
\(144\) | 0.129851 | + | 0.224909i | 0.0108209 | + | 0.0187424i | ||||
\(145\) | − | 1.15207i | − | 0.0956741i | ||||||
\(146\) | −7.78676 | − | 13.4871i | −0.644437 | − | 1.11620i | ||||
\(147\) | −7.36161 | + | 7.22326i | −0.607176 | + | 0.595764i | ||||
\(148\) | − | 22.1510i | − | 1.82080i | ||||||
\(149\) | 5.51106 | − | 3.18181i | 0.451484 | − | 0.260664i | −0.256973 | − | 0.966419i | \(-0.582725\pi\) |
0.708457 | + | 0.705754i | \(0.249392\pi\) | |||||||
\(150\) | 14.5315i | 1.18649i | ||||||||
\(151\) | 0.575122 | − | 0.332047i | 0.0468028 | − | 0.0270216i | −0.476416 | − | 0.879220i | \(-0.658064\pi\) |
0.523219 | + | 0.852198i | \(0.324731\pi\) | |||||||
\(152\) | 0.0712794 | + | 0.123460i | 0.00578152 | + | 0.0100139i | ||||
\(153\) | −0.858811 | − | 1.48750i | −0.0694307 | − | 0.120258i | ||||
\(154\) | 7.24180 | + | 5.61160i | 0.583561 | + | 0.452196i | ||||
\(155\) | −6.66060 | −0.534992 | ||||||||
\(156\) | 16.0179 | − | 7.18919i | 1.28246 | − | 0.575596i | ||||
\(157\) | 8.28798 | + | 14.3552i | 0.661453 | + | 1.14567i | 0.980234 | + | 0.197842i | \(0.0633933\pi\) |
−0.318781 | + | 0.947828i | \(0.603273\pi\) | |||||||
\(158\) | 23.2562 | + | 13.4269i | 1.85016 | + | 1.06819i | ||||
\(159\) | −3.99548 | −0.316862 | ||||||||
\(160\) | −2.24122 | + | 3.88191i | −0.177184 | + | 0.306892i | ||||
\(161\) | −2.79735 | + | 20.4963i | −0.220462 | + | 1.61534i | ||||
\(162\) | −11.6186 | − | 6.70802i | −0.912846 | − | 0.527032i | ||||
\(163\) | 7.83863 | − | 4.52563i | 0.613969 | − | 0.354475i | −0.160548 | − | 0.987028i | \(-0.551326\pi\) |
0.774517 | + | 0.632553i | \(0.217993\pi\) | |||||||
\(164\) | 28.6752 | − | 16.5557i | 2.23916 | − | 1.29278i | ||||
\(165\) | 1.87680 | 0.146108 | ||||||||
\(166\) | −26.5710 | −2.06231 | ||||||||
\(167\) | −2.30156 | + | 1.32880i | −0.178100 | + | 0.102826i | −0.586400 | − | 0.810022i | \(-0.699455\pi\) |
0.408300 | + | 0.912848i | \(0.366122\pi\) | |||||||
\(168\) | −7.17701 | + | 9.26197i | −0.553718 | + | 0.714576i | ||||
\(169\) | 4.09120 | + | 12.3395i | 0.314708 | + | 0.949189i | ||||
\(170\) | −2.02121 | + | 3.50084i | −0.155020 | + | 0.268502i | ||||
\(171\) | 0.0340582 | + | 0.0196635i | 0.00260449 | + | 0.00150370i | ||||
\(172\) | −15.3117 | + | 26.5206i | −1.16750 | + | 2.02218i | ||||
\(173\) | 9.79352 | + | 16.9629i | 0.744588 | + | 1.28966i | 0.950387 | + | 0.311070i | \(0.100687\pi\) |
−0.205799 | + | 0.978594i | \(0.565979\pi\) | |||||||
\(174\) | 4.61423i | 0.349804i | ||||||||
\(175\) | 10.4874 | − | 4.28587i | 0.792774 | − | 0.323981i | ||||
\(176\) | 0.407774 | + | 0.235428i | 0.0307371 | + | 0.0177461i | ||||
\(177\) | 2.09411 | + | 1.20904i | 0.157403 | + | 0.0908768i | ||||
\(178\) | −40.3330 | −3.02309 | ||||||||
\(179\) | −1.44666 | + | 2.50569i | −0.108129 | + | 0.187284i | −0.915012 | − | 0.403426i | \(-0.867819\pi\) |
0.806884 | + | 0.590711i | \(0.201152\pi\) | |||||||
\(180\) | − | 2.32205i | − | 0.173076i | ||||||
\(181\) | −1.36804 | −0.101686 | −0.0508429 | − | 0.998707i | \(-0.516191\pi\) | ||||
−0.0508429 | + | 0.998707i | \(0.516191\pi\) | |||||||
\(182\) | −15.9113 | − | 15.1522i | −1.17942 | − | 1.12316i | ||||
\(183\) | −6.66245 | −0.492503 | ||||||||
\(184\) | 23.5018i | 1.73258i | ||||||||
\(185\) | −2.83936 | + | 4.91791i | −0.208754 | + | 0.361572i | ||||
\(186\) | 26.6768 | 1.95604 | ||||||||
\(187\) | −2.69693 | − | 1.55707i | −0.197219 | − | 0.113865i | ||||
\(188\) | 1.03045 | + | 0.594929i | 0.0751531 | + | 0.0433897i | ||||
\(189\) | −2.01851 | + | 14.7897i | −0.146825 | + | 1.07579i | ||||
\(190\) | − | 0.0925559i | − | 0.00671471i | ||||||
\(191\) | 0.756625 | + | 1.31051i | 0.0547475 | + | 0.0948254i | 0.892100 | − | 0.451837i | \(-0.149231\pi\) |
−0.837353 | + | 0.546663i | \(0.815898\pi\) | |||||||
\(192\) | 9.43792 | − | 16.3470i | 0.681123 | − | 1.17974i | ||||
\(193\) | −6.02229 | − | 3.47697i | −0.433494 | − | 0.250278i | 0.267340 | − | 0.963602i | \(-0.413855\pi\) |
−0.700834 | + | 0.713324i | \(0.747189\pi\) | |||||||
\(194\) | 0.490860 | − | 0.850194i | 0.0352417 | − | 0.0610404i | ||||
\(195\) | −4.47778 | − | 0.457080i | −0.320661 | − | 0.0327322i | ||||
\(196\) | 22.2891 | + | 6.19955i | 1.59208 | + | 0.442825i | ||||
\(197\) | −13.4037 | + | 7.73860i | −0.954971 | + | 0.551353i | −0.894622 | − | 0.446825i | \(-0.852555\pi\) |
−0.0603494 | + | 0.998177i | \(0.519221\pi\) | |||||||
\(198\) | 2.87133 | 0.204056 | ||||||||
\(199\) | −6.61529 | −0.468945 | −0.234473 | − | 0.972123i | \(-0.575336\pi\) | ||||
−0.234473 | + | 0.972123i | \(0.575336\pi\) | |||||||
\(200\) | 11.1469 | − | 6.43566i | 0.788205 | − | 0.455070i | ||||
\(201\) | −2.60637 | + | 1.50479i | −0.183839 | + | 0.106140i | ||||
\(202\) | −19.2886 | − | 11.1363i | −1.35714 | − | 0.783545i | ||||
\(203\) | 3.33010 | − | 1.36090i | 0.233727 | − | 0.0955168i | ||||
\(204\) | 5.04336 | − | 8.73535i | 0.353106 | − | 0.611597i | ||||
\(205\) | −8.48854 | −0.592865 | ||||||||
\(206\) | 19.9035 | + | 11.4913i | 1.38674 | + | 0.800634i | ||||
\(207\) | 3.24166 | + | 5.61473i | 0.225311 | + | 0.390250i | ||||
\(208\) | −0.915555 | − | 0.661010i | −0.0634823 | − | 0.0458328i | ||||
\(209\) | 0.0713021 | 0.00493207 | ||||||||
\(210\) | 7.04203 | − | 2.87785i | 0.485947 | − | 0.198591i | ||||
\(211\) | 4.04714 | + | 7.00986i | 0.278617 | + | 0.482578i | 0.971041 | − | 0.238912i | \(-0.0767907\pi\) |
−0.692424 | + | 0.721490i | \(0.743457\pi\) | |||||||
\(212\) | 4.48132 | + | 7.76187i | 0.307778 | + | 0.533088i | ||||
\(213\) | 18.1365 | − | 10.4711i | 1.24269 | − | 0.717470i | ||||
\(214\) | − | 22.7153i | − | 1.55279i | ||||||
\(215\) | 6.79892 | − | 3.92536i | 0.463683 | − | 0.267707i | ||||
\(216\) | 16.9584i | 1.15387i | ||||||||
\(217\) | −7.86797 | − | 19.2527i | −0.534113 | − | 1.30696i | ||||
\(218\) | 13.3653 | + | 23.1493i | 0.905211 | + | 1.56787i | ||||
\(219\) | − | 9.96212i | − | 0.673178i | ||||||
\(220\) | −2.10501 | − | 3.64599i | −0.141920 | − | 0.245812i | ||||
\(221\) | 6.05530 | + | 4.37178i | 0.407323 | + | 0.294078i | ||||
\(222\) | 11.3721 | − | 19.6970i | 0.763244 | − | 1.32198i | ||||
\(223\) | 13.9067 | − | 8.02903i | 0.931261 | − | 0.537664i | 0.0440506 | − | 0.999029i | \(-0.485974\pi\) |
0.887210 | + | 0.461366i | \(0.152640\pi\) | |||||||
\(224\) | −13.8683 | − | 1.89276i | −0.926616 | − | 0.126465i | ||||
\(225\) | 1.77537 | − | 3.07504i | 0.118358 | − | 0.205002i | ||||
\(226\) | −6.93668 | − | 4.00490i | −0.461421 | − | 0.266402i | ||||
\(227\) | − | 1.29581i | − | 0.0860057i | −0.999075 | − | 0.0430029i | \(-0.986308\pi\) | ||
0.999075 | − | 0.0430029i | \(-0.0136925\pi\) | |||||||
\(228\) | 0.230947i | 0.0152948i | ||||||||
\(229\) | 18.0285 | + | 10.4088i | 1.19136 | + | 0.687831i | 0.958614 | − | 0.284707i | \(-0.0918965\pi\) |
0.232743 | + | 0.972538i | \(0.425230\pi\) | |||||||
\(230\) | 7.62925 | − | 13.2142i | 0.503058 | − | 0.871322i | ||||
\(231\) | 2.21700 | + | 5.42496i | 0.145868 | + | 0.356936i | ||||
\(232\) | 3.53951 | − | 2.04354i | 0.232380 | − | 0.134165i | ||||
\(233\) | −6.65213 | + | 11.5218i | −0.435796 | + | 0.754820i | −0.997360 | − | 0.0726127i | \(-0.976866\pi\) |
0.561565 | + | 0.827433i | \(0.310200\pi\) | |||||||
\(234\) | −6.85059 | − | 0.699290i | −0.447837 | − | 0.0457140i | ||||
\(235\) | −0.152518 | − | 0.264169i | −0.00994920 | − | 0.0172325i | ||||
\(236\) | − | 5.42421i | − | 0.353086i | ||||||
\(237\) | 8.58899 | + | 14.8766i | 0.557915 | + | 0.966337i | ||||
\(238\) | −12.5069 | − | 1.70695i | −0.810702 | − | 0.110645i | ||||
\(239\) | − | 13.3652i | − | 0.864525i | −0.901748 | − | 0.432263i | \(-0.857715\pi\) | ||
0.901748 | − | 0.432263i | \(-0.142285\pi\) | |||||||
\(240\) | 0.338599 | − | 0.195490i | 0.0218565 | − | 0.0126188i | ||||
\(241\) | − | 0.834153i | − | 0.0537325i | −0.999639 | − | 0.0268663i | \(-0.991447\pi\) | ||
0.999639 | − | 0.0268663i | \(-0.00855282\pi\) | |||||||
\(242\) | −17.4331 | + | 10.0650i | −1.12064 | + | 0.647004i | ||||
\(243\) | 4.17170 | + | 7.22559i | 0.267614 | + | 0.463522i | ||||
\(244\) | 7.47259 | + | 12.9429i | 0.478384 | + | 0.828585i | ||||
\(245\) | −4.15391 | − | 4.23347i | −0.265383 | − | 0.270467i | ||||
\(246\) | 33.9980 | 2.16763 | ||||||||
\(247\) | −0.170117 | − | 0.0173651i | −0.0108243 | − | 0.00110491i | ||||
\(248\) | −11.8146 | − | 20.4634i | −0.750225 | − | 1.29943i | ||||
\(249\) | −14.7199 | − | 8.49852i | −0.932834 | − | 0.538572i | ||||
\(250\) | −18.1144 | −1.14565 | ||||||||
\(251\) | 13.6360 | − | 23.6183i | 0.860699 | − | 1.49078i | −0.0105555 | − | 0.999944i | \(-0.503360\pi\) |
0.871255 | − | 0.490831i | \(-0.163307\pi\) | |||||||
\(252\) | 6.71199 | − | 2.74297i | 0.422816 | − | 0.172791i | ||||
\(253\) | 10.1798 | + | 5.87733i | 0.640000 | + | 0.369504i | ||||
\(254\) | −31.3163 | + | 18.0804i | −1.96496 | + | 1.13447i | ||||
\(255\) | −2.23943 | + | 1.29293i | −0.140238 | + | 0.0809667i | ||||
\(256\) | −17.9721 | −1.12326 | ||||||||
\(257\) | −6.55188 | −0.408695 | −0.204348 | − | 0.978898i | \(-0.565507\pi\) | ||||
−0.204348 | + | 0.978898i | \(0.565507\pi\) | |||||||
\(258\) | −27.2308 | + | 15.7217i | −1.69532 | + | 0.978791i | ||||
\(259\) | −17.5695 | − | 2.39789i | −1.09171 | − | 0.148998i | ||||
\(260\) | 4.13432 | + | 9.21148i | 0.256399 | + | 0.571272i | ||||
\(261\) | 0.563740 | − | 0.976426i | 0.0348946 | − | 0.0604393i | ||||
\(262\) | −5.07682 | − | 2.93110i | −0.313647 | − | 0.181084i | ||||
\(263\) | 11.2945 | − | 19.5627i | 0.696450 | − | 1.20629i | −0.273239 | − | 0.961946i | \(-0.588095\pi\) |
0.969689 | − | 0.244341i | \(-0.0785717\pi\) | |||||||
\(264\) | 3.32906 | + | 5.76610i | 0.204889 | + | 0.354879i | ||||
\(265\) | − | 2.29770i | − | 0.141146i | ||||||
\(266\) | 0.267537 | − | 0.109334i | 0.0164037 | − | 0.00670367i | ||||
\(267\) | −22.3437 | − | 12.9002i | −1.36742 | − | 0.789478i | ||||
\(268\) | 5.84660 | + | 3.37553i | 0.357138 | + | 0.206194i | ||||
\(269\) | 16.0013 | 0.975617 | 0.487808 | − | 0.872951i | \(-0.337797\pi\) | ||||
0.487808 | + | 0.872951i | \(0.337797\pi\) | |||||||
\(270\) | 5.50510 | − | 9.53511i | 0.335030 | − | 0.580288i | ||||
\(271\) | 8.75935i | 0.532093i | 0.963960 | + | 0.266046i | \(0.0857174\pi\) | ||||
−0.963960 | + | 0.266046i | \(0.914283\pi\) | |||||||
\(272\) | −0.648750 | −0.0393363 | ||||||||
\(273\) | −3.96826 | − | 13.4831i | −0.240170 | − | 0.816037i | ||||
\(274\) | −4.29496 | −0.259468 | ||||||||
\(275\) | − | 6.43771i | − | 0.388209i | ||||||
\(276\) | −19.0366 | + | 32.9724i | −1.14587 | + | 1.98471i | ||||
\(277\) | 19.9183 | 1.19677 | 0.598387 | − | 0.801208i | \(-0.295809\pi\) | ||||
0.598387 | + | 0.801208i | \(0.295809\pi\) | |||||||
\(278\) | 31.1355 | + | 17.9761i | 1.86739 | + | 1.07814i | ||||
\(279\) | −5.64514 | − | 3.25922i | −0.337965 | − | 0.195124i | ||||
\(280\) | −5.32632 | − | 4.12731i | −0.318308 | − | 0.246654i | ||||
\(281\) | 14.0234i | 0.836566i | 0.908317 | + | 0.418283i | \(0.137368\pi\) | ||||
−0.908317 | + | 0.418283i | \(0.862632\pi\) | |||||||
\(282\) | 0.610861 | + | 1.05804i | 0.0363762 | + | 0.0630055i | ||||
\(283\) | 0.506295 | − | 0.876929i | 0.0300961 | − | 0.0521280i | −0.850585 | − | 0.525838i | \(-0.823752\pi\) |
0.880681 | + | 0.473710i | \(0.157085\pi\) | |||||||
\(284\) | −40.6838 | − | 23.4888i | −2.41414 | − | 1.39380i | ||||
\(285\) | 0.0296032 | − | 0.0512743i | 0.00175354 | − | 0.00303723i | ||||
\(286\) | −11.3904 | + | 5.11227i | −0.673530 | + | 0.302295i | ||||
\(287\) | −10.0273 | − | 24.5365i | −0.591890 | − | 1.44834i | ||||
\(288\) | −3.79906 | + | 2.19339i | −0.223862 | + | 0.129247i | ||||
\(289\) | −12.7093 | −0.747606 | ||||||||
\(290\) | −2.65352 | −0.155820 | ||||||||
\(291\) | 0.543855 | − | 0.313995i | 0.0318813 | − | 0.0184067i | ||||
\(292\) | −19.3531 | + | 11.1735i | −1.13255 | + | 0.653879i | ||||
\(293\) | −0.172543 | − | 0.0996176i | −0.0100801 | − | 0.00581972i | 0.494952 | − | 0.868921i | \(-0.335186\pi\) |
−0.505032 | + | 0.863101i | \(0.668519\pi\) | |||||||
\(294\) | 16.6371 | + | 16.9558i | 0.970295 | + | 0.988880i | ||||
\(295\) | −0.695286 | + | 1.20427i | −0.0404811 | + | 0.0701153i | ||||
\(296\) | −20.1458 | −1.17095 | ||||||||
\(297\) | 7.34554 | + | 4.24095i | 0.426232 | + | 0.246085i | ||||
\(298\) | −7.32857 | − | 12.6935i | −0.424532 | − | 0.735312i | ||||
\(299\) | −22.8563 | − | 16.5017i | −1.32181 | − | 0.954319i | ||||
\(300\) | 20.8517 | 1.20387 | ||||||||
\(301\) | 19.3778 | + | 15.0156i | 1.11692 | + | 0.865487i | ||||
\(302\) | −0.764792 | − | 1.32466i | −0.0440088 | − | 0.0762256i | ||||
\(303\) | −7.12368 | − | 12.3386i | −0.409245 | − | 0.708833i | ||||
\(304\) | 0.0128639 | − | 0.00742695i | 0.000737793 | − | 0.000425965i | ||||
\(305\) | − | 3.83140i | − | 0.219386i | ||||||
\(306\) | −3.42612 | + | 1.97807i | −0.195858 | + | 0.113079i | ||||
\(307\) | 27.2004i | 1.55241i | 0.630482 | + | 0.776204i | \(0.282857\pi\) | ||||
−0.630482 | + | 0.776204i | \(0.717143\pi\) | |||||||
\(308\) | 8.05228 | − | 10.3915i | 0.458821 | − | 0.592111i | ||||
\(309\) | 7.35077 | + | 12.7319i | 0.418171 | + | 0.724293i | ||||
\(310\) | 15.3411i | 0.871318i | ||||||||
\(311\) | 13.5505 | + | 23.4701i | 0.768376 | + | 1.33087i | 0.938443 | + | 0.345434i | \(0.112268\pi\) |
−0.170067 | + | 0.985432i | \(0.554398\pi\) | |||||||
\(312\) | −6.53839 | − | 14.5679i | −0.370163 | − | 0.824744i | ||||
\(313\) | 11.0392 | − | 19.1205i | 0.623975 | − | 1.08076i | −0.364763 | − | 0.931100i | \(-0.618850\pi\) |
0.988738 | − | 0.149656i | \(-0.0478165\pi\) | |||||||
\(314\) | 33.0639 | − | 19.0894i | 1.86590 | − | 1.07728i | ||||
\(315\) | −1.84178 | − | 0.251367i | −0.103773 | − | 0.0141629i | ||||
\(316\) | 19.2668 | − | 33.3711i | 1.08384 | − | 1.87727i | ||||
\(317\) | −6.12126 | − | 3.53411i | −0.343804 | − | 0.198496i | 0.318149 | − | 0.948041i | \(-0.396939\pi\) |
−0.661953 | + | 0.749545i | \(0.730272\pi\) | |||||||
\(318\) | 9.20265i | 0.516059i | ||||||||
\(319\) | − | 2.04419i | − | 0.114453i | ||||||
\(320\) | 9.40071 | + | 5.42750i | 0.525516 | + | 0.303407i | ||||
\(321\) | 7.26531 | − | 12.5839i | 0.405510 | − | 0.702364i | ||||
\(322\) | 47.2085 | + | 6.44305i | 2.63083 | + | 0.359057i | ||||
\(323\) | −0.0850789 | + | 0.0491204i | −0.00473392 | + | 0.00273313i | ||||
\(324\) | −9.62558 | + | 16.6720i | −0.534754 | + | 0.926221i | ||||
\(325\) | −1.56786 | + | 15.3595i | −0.0869690 | + | 0.851992i | ||||
\(326\) | −10.4237 | − | 18.0544i | −0.577318 | − | 0.999943i | ||||
\(327\) | 17.0991i | 0.945582i | ||||||||
\(328\) | −15.0569 | − | 26.0794i | −0.831381 | − | 1.43999i | ||||
\(329\) | 0.583427 | − | 0.752916i | 0.0321654 | − | 0.0415096i | ||||
\(330\) | − | 4.32276i | − | 0.237960i | ||||||
\(331\) | 5.70588 | − | 3.29429i | 0.313623 | − | 0.181071i | −0.334923 | − | 0.942245i | \(-0.608710\pi\) |
0.648547 | + | 0.761175i | \(0.275377\pi\) | |||||||
\(332\) | 38.1277i | 2.09253i | ||||||||
\(333\) | −4.81294 | + | 2.77875i | −0.263748 | + | 0.152275i | ||||
\(334\) | 3.06059 | + | 5.30110i | 0.167468 | + | 0.290063i | ||||
\(335\) | −0.865365 | − | 1.49886i | −0.0472799 | − | 0.0818912i | ||||
\(336\) | 0.965050 | + | 0.747808i | 0.0526478 | + | 0.0407963i | ||||
\(337\) | −4.22290 | −0.230036 | −0.115018 | − | 0.993363i | \(-0.536693\pi\) | ||||
−0.115018 | + | 0.993363i | \(0.536693\pi\) | |||||||
\(338\) | 28.4210 | − | 9.42313i | 1.54590 | − | 0.512551i | ||||
\(339\) | −2.56187 | − | 4.43728i | −0.139141 | − | 0.241000i | ||||
\(340\) | 5.02347 | + | 2.90030i | 0.272436 | + | 0.157291i | ||||
\(341\) | −11.8183 | −0.639998 | ||||||||
\(342\) | 0.0452902 | − | 0.0784450i | 0.00244902 | − | 0.00424182i | ||||
\(343\) | 7.33014 | − | 17.0079i | 0.395790 | − | 0.918341i | ||||
\(344\) | 24.1198 | + | 13.9256i | 1.30045 | + | 0.750817i | ||||
\(345\) | 8.45293 | − | 4.88030i | 0.455091 | − | 0.262747i | ||||
\(346\) | 39.0700 | − | 22.5571i | 2.10042 | − | 1.21268i | ||||
\(347\) | −9.09478 | −0.488233 | −0.244117 | − | 0.969746i | \(-0.578498\pi\) | ||||
−0.244117 | + | 0.969746i | \(0.578498\pi\) | |||||||
\(348\) | 6.62111 | 0.354929 | ||||||||
\(349\) | 7.98521 | − | 4.61026i | 0.427439 | − | 0.246782i | −0.270816 | − | 0.962631i | \(-0.587294\pi\) |
0.698255 | + | 0.715849i | \(0.253960\pi\) | |||||||
\(350\) | −9.87149 | − | 24.1553i | −0.527653 | − | 1.29116i | ||||
\(351\) | −16.4926 | − | 11.9073i | −0.880310 | − | 0.635564i | ||||
\(352\) | −3.97674 | + | 6.88792i | −0.211961 | + | 0.367127i | ||||
\(353\) | 1.86584 | + | 1.07724i | 0.0993087 | + | 0.0573359i | 0.548832 | − | 0.835933i | \(-0.315073\pi\) |
−0.449523 | + | 0.893269i | \(0.648406\pi\) | |||||||
\(354\) | 2.78473 | − | 4.82330i | 0.148007 | − | 0.256356i | ||||
\(355\) | 6.02167 | + | 10.4298i | 0.319597 | + | 0.553559i | ||||
\(356\) | 57.8752i | 3.06738i | ||||||||
\(357\) | −6.38265 | − | 4.94585i | −0.337805 | − | 0.261762i | ||||
\(358\) | 5.77128 | + | 3.33205i | 0.305021 | + | 0.176104i | ||||
\(359\) | −7.41107 | − | 4.27878i | −0.391141 | − | 0.225825i | 0.291513 | − | 0.956567i | \(-0.405841\pi\) |
−0.682654 | + | 0.730741i | \(0.739175\pi\) | |||||||
\(360\) | −2.11185 | −0.111304 | ||||||||
\(361\) | −9.49888 | + | 16.4525i | −0.499941 | + | 0.865923i | ||||
\(362\) | 3.15096i | 0.165611i | ||||||||
\(363\) | −12.8769 | −0.675860 | ||||||||
\(364\) | −21.7424 | + | 22.8317i | −1.13961 | + | 1.19670i | ||||
\(365\) | 5.72896 | 0.299867 | ||||||||
\(366\) | 15.3454i | 0.802117i | ||||||||
\(367\) | −1.14912 | + | 1.99033i | −0.0599833 | + | 0.103894i | −0.894458 | − | 0.447153i | \(-0.852438\pi\) |
0.834474 | + | 0.551047i | \(0.185771\pi\) | |||||||
\(368\) | 2.44877 | 0.127651 | ||||||||
\(369\) | −7.19439 | − | 4.15368i | −0.374525 | − | 0.216232i | ||||
\(370\) | 11.3273 | + | 6.53979i | 0.588876 | + | 0.339988i | ||||
\(371\) | 6.64158 | − | 2.71420i | 0.344814 | − | 0.140914i | ||||
\(372\) | − | 38.2795i | − | 1.98470i | ||||||
\(373\) | −5.88418 | − | 10.1917i | −0.304672 | − | 0.527707i | 0.672517 | − | 0.740082i | \(-0.265213\pi\) |
−0.977188 | + | 0.212375i | \(0.931880\pi\) | |||||||
\(374\) | −3.58636 | + | 6.21175i | −0.185446 | + | 0.321202i | ||||
\(375\) | −10.0350 | − | 5.79373i | −0.518207 | − | 0.299187i | ||||
\(376\) | 0.541073 | − | 0.937166i | 0.0279037 | − | 0.0483307i | ||||
\(377\) | −0.497847 | + | 4.87715i | −0.0256404 | + | 0.251186i | ||||
\(378\) | 34.0646 | + | 4.64917i | 1.75210 | + | 0.239127i | ||||
\(379\) | −6.92034 | + | 3.99546i | −0.355474 | + | 0.205233i | −0.667094 | − | 0.744974i | \(-0.732462\pi\) |
0.311619 | + | 0.950207i | \(0.399129\pi\) | |||||||
\(380\) | −0.132812 | −0.00681310 | ||||||||
\(381\) | −23.1315 | −1.18506 | ||||||||
\(382\) | 3.01846 | − | 1.74271i | 0.154438 | − | 0.0891647i | ||||
\(383\) | −24.4605 | + | 14.1223i | −1.24988 | + | 0.721616i | −0.971084 | − | 0.238736i | \(-0.923267\pi\) |
−0.278791 | + | 0.960352i | \(0.589934\pi\) | |||||||
\(384\) | −24.1508 | − | 13.9435i | −1.23244 | − | 0.711551i | ||||
\(385\) | −3.11975 | + | 1.27494i | −0.158997 | + | 0.0649770i | ||||
\(386\) | −8.00839 | + | 13.8709i | −0.407616 | + | 0.706012i | ||||
\(387\) | 7.68316 | 0.390557 | ||||||||
\(388\) | −1.21997 | − | 0.704352i | −0.0619347 | − | 0.0357580i | ||||
\(389\) | 3.84043 | + | 6.65182i | 0.194717 | + | 0.337261i | 0.946808 | − | 0.321799i | \(-0.104288\pi\) |
−0.752090 | + | 0.659060i | \(0.770954\pi\) | |||||||
\(390\) | −1.05278 | + | 10.3135i | −0.0533094 | + | 0.522246i | ||||
\(391\) | −16.1957 | −0.819050 | ||||||||
\(392\) | 5.63834 | − | 20.2714i | 0.284779 | − | 1.02386i | ||||
\(393\) | −1.87498 | − | 3.24756i | −0.0945801 | − | 0.163818i | ||||
\(394\) | 17.8241 | + | 30.8722i | 0.897964 | + | 1.55532i | ||||
\(395\) | −8.55513 | + | 4.93931i | −0.430455 | + | 0.248524i | ||||
\(396\) | − | 4.12017i | − | 0.207046i | ||||||
\(397\) | 6.45433 | − | 3.72641i | 0.323933 | − | 0.187023i | −0.329211 | − | 0.944256i | \(-0.606783\pi\) |
0.653144 | + | 0.757233i | \(0.273449\pi\) | |||||||
\(398\) | 15.2368i | 0.763750i | ||||||||
\(399\) | 0.183180 | + | 0.0250005i | 0.00917046 | + | 0.00125159i | ||||
\(400\) | −0.670563 | − | 1.16145i | −0.0335282 | − | 0.0580725i | ||||
\(401\) | 18.1982i | 0.908777i | 0.890804 | + | 0.454389i | \(0.150142\pi\) | ||||
−0.890804 | + | 0.454389i | \(0.849858\pi\) | |||||||
\(402\) | 3.46593 | + | 6.00316i | 0.172865 | + | 0.299411i | ||||
\(403\) | 28.1969 | + | 2.87826i | 1.40459 | + | 0.143376i | ||||
\(404\) | −15.9798 | + | 27.6778i | −0.795025 | + | 1.37702i | ||||
\(405\) | 4.27409 | − | 2.46765i | 0.212381 | − | 0.122618i | ||||
\(406\) | −3.13453 | − | 7.67011i | −0.155564 | − | 0.380661i | ||||
\(407\) | −5.03804 | + | 8.72615i | −0.249727 | + | 0.432539i | ||||
\(408\) | −7.94458 | − | 4.58681i | −0.393315 | − | 0.227081i | ||||
\(409\) | − | 29.2825i | − | 1.44793i | −0.689838 | − | 0.723964i | \(-0.742318\pi\) | ||
0.689838 | − | 0.723964i | \(-0.257682\pi\) | |||||||
\(410\) | 19.5514i | 0.965573i | ||||||||
\(411\) | −2.37933 | − | 1.37371i | −0.117364 | − | 0.0677599i | ||||
\(412\) | 16.4892 | − | 28.5602i | 0.812365 | − | 1.40706i | ||||
\(413\) | −4.30231 | − | 0.587183i | −0.211703 | − | 0.0288934i | ||||
\(414\) | 12.9322 | − | 7.46641i | 0.635583 | − | 0.366954i | ||||
\(415\) | 4.88728 | − | 8.46502i | 0.239907 | − | 0.415531i | ||||
\(416\) | 11.1655 | − | 15.4651i | 0.547432 | − | 0.758241i | ||||
\(417\) | 11.4990 | + | 19.9169i | 0.563109 | + | 0.975334i | ||||
\(418\) | − | 0.164228i | − | 0.00803264i | ||||||
\(419\) | 10.3697 | + | 17.9608i | 0.506591 | + | 0.877441i | 0.999971 | + | 0.00762733i | \(0.00242788\pi\) |
−0.493380 | + | 0.869814i | \(0.664239\pi\) | |||||||
\(420\) | −4.12953 | − | 10.1049i | −0.201500 | − | 0.493067i | ||||
\(421\) | 24.8696i | 1.21207i | 0.795437 | + | 0.606036i | \(0.207241\pi\) | ||||
−0.795437 | + | 0.606036i | \(0.792759\pi\) | |||||||
\(422\) | 16.1456 | − | 9.32165i | 0.785954 | − | 0.453771i | ||||
\(423\) | − | 0.298526i | − | 0.0145148i | ||||||
\(424\) | 7.05923 | − | 4.07565i | 0.342826 | − | 0.197931i | ||||
\(425\) | 4.43497 | + | 7.68159i | 0.215128 | + | 0.372612i | ||||
\(426\) | −24.1178 | − | 41.7733i | −1.16851 | − | 2.02392i | ||||
\(427\) | 11.0748 | − | 4.52592i | 0.535948 | − | 0.219025i | ||||
\(428\) | −32.5950 | −1.57554 | ||||||||
\(429\) | −7.94520 | − | 0.811025i | −0.383598 | − | 0.0391566i | ||||
\(430\) | −9.04115 | − | 15.6597i | −0.436003 | − | 0.755179i | ||||
\(431\) | −18.3327 | − | 10.5844i | −0.883055 | − | 0.509832i | −0.0113906 | − | 0.999935i | \(-0.503626\pi\) |
−0.871665 | + | 0.490103i | \(0.836959\pi\) | |||||||
\(432\) | 1.76698 | 0.0850138 | ||||||||
\(433\) | −11.7148 | + | 20.2906i | −0.562977 | + | 0.975105i | 0.434258 | + | 0.900789i | \(0.357011\pi\) |
−0.997235 | + | 0.0743163i | \(0.976323\pi\) | |||||||
\(434\) | −44.3442 | + | 18.1220i | −2.12859 | + | 0.869885i | ||||
\(435\) | −1.47000 | − | 0.848707i | −0.0704813 | − | 0.0406924i | ||||
\(436\) | 33.2178 | − | 19.1783i | 1.59084 | − | 0.918474i | ||||
\(437\) | 0.321139 | − | 0.185409i | 0.0153621 | − | 0.00886934i | ||||
\(438\) | −22.9454 | −1.09637 | ||||||||
\(439\) | 12.0384 | 0.574561 | 0.287280 | − | 0.957847i | \(-0.407249\pi\) | ||||
0.287280 | + | 0.957847i | \(0.407249\pi\) | |||||||
\(440\) | −3.31593 | + | 1.91445i | −0.158081 | + | 0.0912680i | ||||
\(441\) | −1.44905 | − | 5.62067i | −0.0690025 | − | 0.267651i | ||||
\(442\) | 10.0694 | − | 13.9470i | 0.478952 | − | 0.663390i | ||||
\(443\) | −7.86656 | + | 13.6253i | −0.373752 | + | 0.647357i | −0.990139 | − | 0.140086i | \(-0.955262\pi\) |
0.616388 | + | 0.787443i | \(0.288595\pi\) | |||||||
\(444\) | −28.2640 | − | 16.3182i | −1.34135 | − | 0.774427i | ||||
\(445\) | 7.41855 | − | 12.8493i | 0.351673 | − | 0.609116i | ||||
\(446\) | −18.4930 | − | 32.0308i | −0.875669 | − | 1.51670i | ||||
\(447\) | − | 9.37592i | − | 0.443466i | ||||||
\(448\) | −4.58363 | + | 33.5845i | −0.216556 | + | 1.58672i | ||||
\(449\) | 22.5177 | + | 13.0006i | 1.06268 | + | 0.613536i | 0.926171 | − | 0.377104i | \(-0.123080\pi\) |
0.136504 | + | 0.990640i | \(0.456413\pi\) | |||||||
\(450\) | −7.08263 | − | 4.08916i | −0.333878 | − | 0.192765i | ||||
\(451\) | −15.0617 | −0.709230 | ||||||||
\(452\) | −5.74676 | + | 9.95369i | −0.270305 | + | 0.468182i | ||||
\(453\) | − | 0.978449i | − | 0.0459716i | ||||||
\(454\) | −2.98459 | −0.140074 | ||||||||
\(455\) | 7.75380 | − | 2.28204i | 0.363504 | − | 0.106984i | ||||
\(456\) | 0.210041 | 0.00983605 | ||||||||
\(457\) | − | 30.7958i | − | 1.44057i | −0.693679 | − | 0.720284i | \(-0.744011\pi\) | ||
0.693679 | − | 0.720284i | \(-0.255989\pi\) | |||||||
\(458\) | 23.9742 | − | 41.5245i | 1.12024 | − | 1.94031i | ||||
\(459\) | −11.6864 | −0.545476 | ||||||||
\(460\) | −18.9616 | − | 10.9475i | −0.884088 | − | 0.510429i | ||||
\(461\) | −29.5278 | − | 17.0479i | −1.37525 | − | 0.794000i | −0.383665 | − | 0.923472i | \(-0.625338\pi\) |
−0.991583 | + | 0.129472i | \(0.958672\pi\) | |||||||
\(462\) | 12.4951 | − | 5.10635i | 0.581325 | − | 0.237569i | ||||
\(463\) | − | 1.69184i | − | 0.0786263i | −0.999227 | − | 0.0393131i | \(-0.987483\pi\) | ||
0.999227 | − | 0.0393131i | \(-0.0125170\pi\) | |||||||
\(464\) | −0.212926 | − | 0.368799i | −0.00988485 | − | 0.0171211i | ||||
\(465\) | −4.90674 | + | 8.49871i | −0.227544 | + | 0.394118i | ||||
\(466\) | 26.5378 | + | 15.3216i | 1.22934 | + | 0.709761i | ||||
\(467\) | 14.1762 | − | 24.5539i | 0.655996 | − | 1.13622i | −0.325647 | − | 0.945491i | \(-0.605582\pi\) |
0.981643 | − | 0.190727i | \(-0.0610845\pi\) | |||||||
\(468\) | −1.00344 | + | 9.83015i | −0.0463838 | + | 0.454399i | ||||
\(469\) | 3.31027 | − | 4.27192i | 0.152854 | − | 0.197259i | ||||
\(470\) | −0.608453 | + | 0.351290i | −0.0280658 | + | 0.0162038i | ||||
\(471\) | 24.4224 | 1.12532 | ||||||||
\(472\) | −4.93318 | −0.227068 | ||||||||
\(473\) | 12.0637 | − | 6.96501i | 0.554692 | − | 0.320251i | ||||
\(474\) | 34.2647 | − | 19.7827i | 1.57383 | − | 0.908651i | ||||
\(475\) | −0.175879 | − | 0.101544i | −0.00806989 | − | 0.00465915i | ||||
\(476\) | −2.44936 | + | 17.9466i | −0.112266 | + | 0.822581i | ||||
\(477\) | 1.12433 | − | 1.94739i | 0.0514794 | − | 0.0891650i | ||||
\(478\) | −30.7837 | −1.40801 | ||||||||
\(479\) | 5.44077 | + | 3.14123i | 0.248595 | + | 0.143526i | 0.619121 | − | 0.785296i | \(-0.287489\pi\) |
−0.370526 | + | 0.928822i | \(0.620822\pi\) | |||||||
\(480\) | 3.30213 | + | 5.71946i | 0.150721 | + | 0.261056i | ||||
\(481\) | 14.1453 | − | 19.5924i | 0.644969 | − | 0.893338i | ||||
\(482\) | −1.92128 | −0.0875117 | ||||||||
\(483\) | 24.0919 | + | 18.6686i | 1.09622 | + | 0.849450i | ||||
\(484\) | 14.4427 | + | 25.0154i | 0.656484 | + | 1.13706i | ||||
\(485\) | 0.180570 | + | 0.312757i | 0.00819927 | + | 0.0142016i | ||||
\(486\) | 16.6425 | − | 9.60853i | 0.754917 | − | 0.435852i | ||||
\(487\) | − | 13.0176i | − | 0.589883i | −0.955515 | − | 0.294942i | \(-0.904700\pi\) | ||
0.955515 | − | 0.294942i | \(-0.0953002\pi\) | |||||||
\(488\) | 11.7712 | − | 6.79613i | 0.532859 | − | 0.307647i | ||||
\(489\) | − | 13.3358i | − | 0.603065i | ||||||
\(490\) | −9.75082 | + | 9.56756i | −0.440497 | + | 0.432218i | ||||
\(491\) | −6.17616 | − | 10.6974i | −0.278726 | − | 0.482768i | 0.692342 | − | 0.721569i | \(-0.256579\pi\) |
−0.971068 | + | 0.238801i | \(0.923246\pi\) | |||||||
\(492\) | − | 48.7849i | − | 2.19939i | ||||||
\(493\) | 1.40825 | + | 2.43916i | 0.0634244 | + | 0.109854i | ||||
\(494\) | −0.0399964 | + | 0.391825i | −0.00179952 | + | 0.0176290i | ||||
\(495\) | −0.528131 | + | 0.914749i | −0.0237377 | + | 0.0411149i | ||||
\(496\) | −2.13218 | + | 1.23102i | −0.0957378 | + | 0.0552743i | ||||
\(497\) | −23.0347 | + | 29.7264i | −1.03325 | + | 1.33341i | ||||
\(498\) | −19.5744 | + | 33.9038i | −0.877148 | + | 1.51926i | ||||
\(499\) | 7.92708 | + | 4.57670i | 0.354865 | + | 0.204881i | 0.666826 | − | 0.745214i | \(-0.267652\pi\) |
−0.311961 | + | 0.950095i | \(0.600986\pi\) | |||||||
\(500\) | 25.9929i | 1.16244i | ||||||||
\(501\) | 3.91562i | 0.174937i | ||||||||
\(502\) | −54.3993 | − | 31.4074i | −2.42796 | − | 1.40178i | ||||
\(503\) | −11.2519 | + | 19.4888i | −0.501696 | + | 0.868963i | 0.498302 | + | 0.867003i | \(0.333957\pi\) |
−0.999998 | + | 0.00195935i | \(0.999376\pi\) | |||||||
\(504\) | −2.49467 | − | 6.10439i | −0.111121 | − | 0.271911i | ||||
\(505\) | 7.09559 | − | 4.09664i | 0.315750 | − | 0.182298i | ||||
\(506\) | 13.5370 | − | 23.4469i | 0.601795 | − | 1.04234i | ||||
\(507\) | 18.7587 | + | 3.86999i | 0.833101 | + | 0.171872i | ||||
\(508\) | 25.9443 | + | 44.9368i | 1.15109 | + | 1.99375i | ||||
\(509\) | 38.6606i | 1.71360i | 0.515649 | + | 0.856800i | \(0.327551\pi\) | ||||
−0.515649 | + | 0.856800i | \(0.672449\pi\) | |||||||
\(510\) | 2.97797 | + | 5.15800i | 0.131867 | + | 0.228400i | ||||
\(511\) | 6.76745 | + | 16.5598i | 0.299374 | + | 0.732562i | ||||
\(512\) | 3.53972i | 0.156435i | ||||||||
\(513\) | 0.231727 | − | 0.133787i | 0.0102310 | − | 0.00590686i | ||||
\(514\) | 15.0907i | 0.665623i | ||||||||
\(515\) | −7.32179 | + | 4.22724i | −0.322637 | + | 0.186274i | ||||
\(516\) | 22.5596 | + | 39.0744i | 0.993132 | + | 1.72016i | ||||
\(517\) | −0.270623 | − | 0.468732i | −0.0119020 | − | 0.0206148i | ||||
\(518\) | −5.52298 | + | 40.4671i | −0.242666 | + | 1.77802i | ||||
\(519\) | 28.8588 | 1.26676 | ||||||||
\(520\) | 8.37761 | − | 3.76006i | 0.367383 | − | 0.164889i | ||||
\(521\) | −20.1176 | − | 34.8446i | −0.881366 | − | 1.52657i | −0.849823 | − | 0.527068i | \(-0.823291\pi\) |
−0.0315430 | − | 0.999502i | \(-0.510042\pi\) | |||||||
\(522\) | −2.24897 | − | 1.29844i | −0.0984348 | − | 0.0568313i | ||||
\(523\) | −0.732146 | −0.0320145 | −0.0160073 | − | 0.999872i | \(-0.505095\pi\) | ||||
−0.0160073 | + | 0.999872i | \(0.505095\pi\) | |||||||
\(524\) | −4.20594 | + | 7.28491i | −0.183737 | + | 0.318243i | ||||
\(525\) | 2.25724 | − | 16.5389i | 0.0985142 | − | 0.721818i | ||||
\(526\) | −45.0581 | − | 26.0143i | −1.96463 | − | 1.13428i | ||||
\(527\) | 14.1018 | − | 8.14169i | 0.614285 | − | 0.354658i | ||||
\(528\) | 0.600798 | − | 0.346871i | 0.0261464 | − | 0.0150956i | ||||
\(529\) | 38.1321 | 1.65792 | ||||||||
\(530\) | −5.29221 | −0.229879 | ||||||||
\(531\) | −1.17857 | + | 0.680446i | −0.0511455 | + | 0.0295288i | ||||
\(532\) | −0.156887 | − | 0.383898i | −0.00680189 | − | 0.0166441i | ||||
\(533\) | 35.9353 | + | 3.66817i | 1.55653 | + | 0.158886i | ||||
\(534\) | −29.7125 | + | 51.4636i | −1.28579 | + | 2.22705i | ||||
\(535\) | 7.23667 | + | 4.17809i | 0.312868 | + | 0.180635i | ||||
\(536\) | 3.06996 | − | 5.31733i | 0.132602 | − | 0.229674i | ||||
\(537\) | 2.13146 | + | 3.69179i | 0.0919791 | + | 0.159312i | ||||
\(538\) | − | 36.8553i | − | 1.58894i | ||||||
\(539\) | −7.37054 | − | 7.51171i | −0.317472 | − | 0.323552i | ||||
\(540\) | −13.6823 | − | 7.89946i | −0.588791 | − | 0.339939i | ||||
\(541\) | −20.4847 | − | 11.8268i | −0.880705 | − | 0.508476i | −0.00981448 | − | 0.999952i | \(-0.503124\pi\) |
−0.870891 | + | 0.491476i | \(0.836457\pi\) | |||||||
\(542\) | 20.1751 | 0.866595 | ||||||||
\(543\) | −1.00781 | + | 1.74558i | −0.0432492 | + | 0.0749099i | ||||
\(544\) | − | 10.9584i | − | 0.469837i | ||||||
\(545\) | −9.83325 | −0.421210 | ||||||||
\(546\) | −31.0553 | + | 9.13996i | −1.32904 | + | 0.391154i | ||||
\(547\) | −12.9472 | −0.553582 | −0.276791 | − | 0.960930i | \(-0.589271\pi\) | ||||
−0.276791 | + | 0.960930i | \(0.589271\pi\) | |||||||
\(548\) | 6.16298i | 0.263270i | ||||||||
\(549\) | 1.87481 | − | 3.24727i | 0.0800151 | − | 0.138590i | ||||
\(550\) | −14.8278 | −0.632258 | ||||||||
\(551\) | −0.0558475 | − | 0.0322436i | −0.00237918 | − | 0.00137362i | ||||
\(552\) | 29.9876 | + | 17.3133i | 1.27636 | + | 0.736904i | ||||
\(553\) | −24.3832 | − | 18.8943i | −1.03688 | − | 0.803467i | ||||
\(554\) | − | 45.8771i | − | 1.94913i | ||||||
\(555\) | 4.18340 | + | 7.24585i | 0.177575 | + | 0.307569i | ||||
\(556\) | 25.7946 | − | 44.6775i | 1.09393 | − | 1.89475i | ||||
\(557\) | 5.54845 | + | 3.20340i | 0.235096 | + | 0.135732i | 0.612921 | − | 0.790145i | \(-0.289995\pi\) |
−0.377825 | + | 0.925877i | \(0.623328\pi\) | |||||||
\(558\) | −7.50685 | + | 13.0023i | −0.317790 | + | 0.550429i | ||||
\(559\) | −30.4787 | + | 13.6795i | −1.28911 | + | 0.578582i | ||||
\(560\) | −0.430045 | + | 0.554975i | −0.0181727 | + | 0.0234520i | ||||
\(561\) | −3.97355 | + | 2.29413i | −0.167764 | + | 0.0968584i | ||||
\(562\) | 32.2996 | 1.36248 | ||||||||
\(563\) | −7.32084 | −0.308537 | −0.154268 | − | 0.988029i | \(-0.549302\pi\) | ||||
−0.154268 | + | 0.988029i | \(0.549302\pi\) | |||||||
\(564\) | 1.51822 | − | 0.876546i | 0.0639287 | − | 0.0369092i | ||||
\(565\) | 2.55176 | − | 1.47326i | 0.107354 | − | 0.0619806i | ||||
\(566\) | −2.01980 | − | 1.16613i | −0.0848986 | − | 0.0490162i | ||||
\(567\) | 12.1817 | + | 9.43948i | 0.511583 | + | 0.396421i | ||||
\(568\) | −21.3625 | + | 37.0009i | −0.896349 | + | 1.55252i | ||||
\(569\) | 4.31743 | 0.180996 | 0.0904981 | − | 0.995897i | \(-0.471154\pi\) | ||||
0.0904981 | + | 0.995897i | \(0.471154\pi\) | |||||||
\(570\) | −0.118098 | − | 0.0681842i | −0.00494660 | − | 0.00285592i | ||||
\(571\) | 17.0847 | + | 29.5916i | 0.714974 | + | 1.23837i | 0.962970 | + | 0.269610i | \(0.0868946\pi\) |
−0.247996 | + | 0.968761i | \(0.579772\pi\) | |||||||
\(572\) | 7.33577 | + | 16.3445i | 0.306724 | + | 0.683398i | ||||
\(573\) | 2.22956 | 0.0931413 | ||||||||
\(574\) | −56.5140 | + | 23.0954i | −2.35885 | + | 0.963985i | ||||
\(575\) | −16.7402 | − | 28.9949i | −0.698115 | − | 1.20917i | ||||
\(576\) | 5.31166 | + | 9.20007i | 0.221319 | + | 0.383336i | ||||
\(577\) | −5.50494 | + | 3.17828i | −0.229174 | + | 0.132314i | −0.610191 | − | 0.792254i | \(-0.708907\pi\) |
0.381017 | + | 0.924568i | \(0.375574\pi\) | |||||||
\(578\) | 29.2729i | 1.21759i | ||||||||
\(579\) | −8.87301 | + | 5.12283i | −0.368750 | + | 0.212898i | ||||
\(580\) | 3.80763i | 0.158103i | ||||||||
\(581\) | 30.2417 | + | 4.12740i | 1.25464 | + | 0.171234i | ||||
\(582\) | −0.723214 | − | 1.25264i | −0.0299782 | − | 0.0519237i | ||||
\(583\) | − | 4.07695i | − | 0.168850i | ||||||
\(584\) | 10.1620 | + | 17.6011i | 0.420507 | + | 0.728339i | ||||
\(585\) | 1.48283 | − | 2.05384i | 0.0613074 | − | 0.0849160i | ||||
\(586\) | −0.229446 | + | 0.397412i | −0.00947832 | + | 0.0164169i | ||||
\(587\) | 27.2036 | − | 15.7060i | 1.12281 | − | 0.648256i | 0.180695 | − | 0.983539i | \(-0.442165\pi\) |
0.942118 | + | 0.335283i | \(0.108832\pi\) | |||||||
\(588\) | 24.3304 | − | 23.8731i | 1.00337 | − | 0.984511i | ||||
\(589\) | −0.186414 | + | 0.322878i | −0.00768104 | + | 0.0133040i | ||||
\(590\) | 2.77376 | + | 1.60143i | 0.114194 | + | 0.0659298i | ||||
\(591\) | 22.8035i | 0.938011i | ||||||||
\(592\) | 2.09909i | 0.0862719i | ||||||||
\(593\) | 0.409641 | + | 0.236506i | 0.0168219 | + | 0.00971215i | 0.508387 | − | 0.861128i | \(-0.330242\pi\) |
−0.491565 | + | 0.870841i | \(0.663575\pi\) | |||||||
\(594\) | 9.76804 | − | 16.9187i | 0.400787 | − | 0.694184i | ||||
\(595\) | 2.84423 | − | 3.67049i | 0.116602 | − | 0.150476i | ||||
\(596\) | −18.2143 | + | 10.5160i | −0.746086 | + | 0.430753i | ||||
\(597\) | −4.87335 | + | 8.44089i | −0.199453 | + | 0.345463i | ||||
\(598\) | −38.0079 | + | 52.6442i | −1.55426 | + | 2.15278i | ||||
\(599\) | 4.81348 | + | 8.33719i | 0.196673 | + | 0.340648i | 0.947448 | − | 0.319910i | \(-0.103653\pi\) |
−0.750774 | + | 0.660559i | \(0.770320\pi\) | |||||||
\(600\) | − | 18.9641i | − | 0.774207i | ||||||
\(601\) | 20.5399 | + | 35.5762i | 0.837842 | + | 1.45118i | 0.891696 | + | 0.452635i | \(0.149516\pi\) |
−0.0538542 | + | 0.998549i | \(0.517151\pi\) | |||||||
\(602\) | 34.5850 | − | 44.6322i | 1.40958 | − | 1.81907i | ||||
\(603\) | − | 1.69379i | − | 0.0689765i | ||||||
\(604\) | −1.90080 | + | 1.09743i | −0.0773424 | + | 0.0446537i | ||||
\(605\) | − | 7.40514i | − | 0.301062i | ||||||
\(606\) | −28.4190 | + | 16.4077i | −1.15444 | + | 0.666518i | ||||
\(607\) | −9.54289 | − | 16.5288i | −0.387334 | − | 0.670882i | 0.604756 | − | 0.796411i | \(-0.293271\pi\) |
−0.992090 | + | 0.125529i | \(0.959937\pi\) | |||||||
\(608\) | 0.125453 | + | 0.217290i | 0.00508777 | + | 0.00881228i | ||||
\(609\) | 0.716750 | − | 5.25166i | 0.0290442 | − | 0.212808i | ||||
\(610\) | −8.82474 | −0.357303 | ||||||||
\(611\) | 0.531513 | + | 1.18424i | 0.0215027 | + | 0.0479092i | ||||
\(612\) | 2.83840 | + | 4.91626i | 0.114736 | + | 0.198728i | ||||
\(613\) | −32.9131 | − | 19.0024i | −1.32935 | − | 0.767500i | −0.344149 | − | 0.938915i | \(-0.611833\pi\) |
−0.985199 | + | 0.171415i | \(0.945166\pi\) | |||||||
\(614\) | 62.6498 | 2.52834 | ||||||||
\(615\) | −6.25334 | + | 10.8311i | −0.252159 | + | 0.436752i | ||||
\(616\) | −9.45082 | − | 7.32335i | −0.380784 | − | 0.295066i | ||||
\(617\) | 7.20117 | + | 4.15759i | 0.289908 | + | 0.167378i | 0.637900 | − | 0.770119i | \(-0.279803\pi\) |
−0.347992 | + | 0.937497i | \(0.613136\pi\) | |||||||
\(618\) | 29.3250 | − | 16.9308i | 1.17962 | − | 0.681056i | ||||
\(619\) | −38.5146 | + | 22.2364i | −1.54803 | + | 0.893756i | −0.549739 | + | 0.835336i | \(0.685273\pi\) |
−0.998292 | + | 0.0584199i | \(0.981394\pi\) | |||||||
\(620\) | 22.0135 | 0.884085 | ||||||||
\(621\) | 44.1116 | 1.77014 | ||||||||
\(622\) | 54.0579 | − | 31.2103i | 2.16752 | − | 1.25142i | ||||
\(623\) | 45.9048 | + | 6.26512i | 1.83914 | + | 0.251007i | ||||
\(624\) | −1.51790 | + | 0.681266i | −0.0607646 | + | 0.0272725i | ||||
\(625\) | −7.37342 | + | 12.7711i | −0.294937 | + | 0.510845i | ||||
\(626\) | −44.0397 | − | 25.4263i | −1.76018 | − | 1.01624i | ||||
\(627\) | 0.0525269 | − | 0.0909792i | 0.00209772 | − | 0.00363336i | ||||
\(628\) | −27.3921 | − | 47.4445i | −1.09306 | − | 1.89324i | ||||
\(629\) | − | 13.8829i | − | 0.553549i | ||||||
\(630\) | −0.578966 | + | 4.24211i | −0.0230666 | + | 0.169010i | ||||
\(631\) | −10.1779 | − | 5.87622i | −0.405177 | − | 0.233929i | 0.283539 | − | 0.958961i | \(-0.408492\pi\) |
−0.688715 | + | 0.725032i | \(0.741825\pi\) | |||||||
\(632\) | −30.3501 | − | 17.5227i | −1.20726 | − | 0.697014i | ||||
\(633\) | 11.9258 | 0.474008 | ||||||||
\(634\) | −8.14001 | + | 14.0989i | −0.323281 | + | 0.559939i | ||||
\(635\) | − | 13.3023i | − | 0.527887i | ||||||
\(636\) | 13.2052 | 0.523620 | ||||||||
\(637\) | 15.7557 | + | 19.7170i | 0.624263 | + | 0.781215i | ||||
\(638\) | −4.70831 | −0.186404 | ||||||||
\(639\) | 11.7863i | 0.466259i | ||||||||
\(640\) | 8.01854 | − | 13.8885i | 0.316961 | − | 0.548992i | ||||
\(641\) | −10.4868 | −0.414205 | −0.207102 | − | 0.978319i | \(-0.566403\pi\) | ||||
−0.207102 | + | 0.978319i | \(0.566403\pi\) | |||||||
\(642\) | −28.9840 | − | 16.7339i | −1.14391 | − | 0.660436i | ||||
\(643\) | 27.0912 | + | 15.6411i | 1.06837 | + | 0.616825i | 0.927736 | − | 0.373237i | \(-0.121752\pi\) |
0.140635 | + | 0.990061i | \(0.455085\pi\) | |||||||
\(644\) | 9.24536 | − | 67.7411i | 0.364318 | − | 2.66937i | ||||
\(645\) | − | 11.5669i | − | 0.455448i | ||||||
\(646\) | 0.113137 | + | 0.195959i | 0.00445133 | + | 0.00770992i | ||||
\(647\) | −13.4337 | + | 23.2679i | −0.528135 | + | 0.914757i | 0.471327 | + | 0.881959i | \(0.343775\pi\) |
−0.999462 | + | 0.0327983i | \(0.989558\pi\) | |||||||
\(648\) | 15.1627 | + | 8.75422i | 0.595649 | + | 0.343898i | ||||
\(649\) | −1.23369 | + | 2.13681i | −0.0484265 | + | 0.0838772i | ||||
\(650\) | 35.3770 | + | 3.61119i | 1.38760 | + | 0.141643i | ||||
\(651\) | −30.3621 | − | 4.14384i | −1.18998 | − | 0.162410i | ||||
\(652\) | −25.9070 | + | 14.9574i | −1.01459 | + | 0.585776i | ||||
\(653\) | −4.14161 | −0.162074 | −0.0810369 | − | 0.996711i | \(-0.525823\pi\) | ||||
−0.0810369 | + | 0.996711i | \(0.525823\pi\) | |||||||
\(654\) | 39.3838 | 1.54003 | ||||||||
\(655\) | 1.86759 | − | 1.07825i | 0.0729726 | − | 0.0421308i | ||||
\(656\) | −2.71734 | + | 1.56886i | −0.106094 | + | 0.0612536i | ||||
\(657\) | 4.85553 | + | 2.80334i | 0.189432 | + | 0.109369i | ||||
\(658\) | −1.73417 | − | 1.34379i | −0.0676048 | − | 0.0523863i | ||||
\(659\) | −10.7276 | + | 18.5807i | −0.417887 | + | 0.723801i | −0.995727 | − | 0.0923492i | \(-0.970562\pi\) |
0.577840 | + | 0.816150i | \(0.303896\pi\) | |||||||
\(660\) | −6.20288 | −0.241447 | ||||||||
\(661\) | −36.7084 | − | 21.1936i | −1.42779 | − | 0.824335i | −0.430844 | − | 0.902426i | \(-0.641784\pi\) |
−0.996946 | + | 0.0780909i | \(0.975118\pi\) | |||||||
\(662\) | −7.58763 | − | 13.1422i | −0.294902 | − | 0.510785i | ||||
\(663\) | 10.0391 | − | 4.50576i | 0.389885 | − | 0.174989i | ||||
\(664\) | 34.6762 | 1.34570 | ||||||||
\(665\) | −0.0143772 | + | 0.105342i | −0.000557522 | + | 0.00408499i | ||||
\(666\) | 6.40021 | + | 11.0855i | 0.248003 | + | 0.429554i | ||||
\(667\) | −5.31558 | − | 9.20685i | −0.205820 | − | 0.356491i | ||||
\(668\) | 7.60673 | − | 4.39175i | 0.294313 | − | 0.169922i | ||||
\(669\) | − | 23.6593i | − | 0.914722i | ||||||
\(670\) | −3.45226 | + | 1.99317i | −0.133373 | + | 0.0770027i | ||||
\(671\) | − | 6.79830i | − | 0.262445i | ||||||
\(672\) | −12.6316 | + | 16.3012i | −0.487275 | + | 0.628831i | ||||
\(673\) | −14.7928 | − | 25.6219i | −0.570220 | − | 0.987650i | −0.996543 | − | 0.0830790i | \(-0.973525\pi\) |
0.426323 | − | 0.904571i | \(-0.359809\pi\) | |||||||
\(674\) | 9.72645i | 0.374649i | ||||||||
\(675\) | −12.0794 | − | 20.9221i | −0.464935 | − | 0.805292i | ||||
\(676\) | −13.5216 | − | 40.7823i | −0.520061 | − | 1.56855i | ||||
\(677\) | −16.0830 | + | 27.8565i | −0.618118 | + | 1.07061i | 0.371711 | + | 0.928349i | \(0.378771\pi\) |
−0.989829 | + | 0.142263i | \(0.954562\pi\) | |||||||
\(678\) | −10.2202 | + | 5.90066i | −0.392506 | + | 0.226613i | ||||
\(679\) | −0.690734 | + | 0.891396i | −0.0265079 | + | 0.0342086i | ||||
\(680\) | 2.63775 | − | 4.56872i | 0.101153 | − | 0.175202i | ||||
\(681\) | −1.65341 | − | 0.954596i | −0.0633587 | − | 0.0365802i | ||||
\(682\) | 27.2207i | 1.04234i | ||||||||
\(683\) | − | 8.60236i | − | 0.329160i | −0.986364 | − | 0.164580i | \(-0.947373\pi\) | ||
0.986364 | − | 0.164580i | \(-0.0526269\pi\) | |||||||
\(684\) | −0.112563 | − | 0.0649885i | −0.00430397 | − | 0.00248490i | ||||
\(685\) | 0.789983 | − | 1.36829i | 0.0301837 | − | 0.0522797i | ||||
\(686\) | −39.1738 | − | 16.8833i | −1.49566 | − | 0.644606i | ||||
\(687\) | 26.5625 | − | 15.3359i | 1.01342 | − | 0.585100i | ||||
\(688\) | 1.45097 | − | 2.51316i | 0.0553179 | − | 0.0958134i | ||||
\(689\) | −0.992909 | + | 9.72704i | −0.0378268 | + | 0.370571i | ||||
\(690\) | −11.2406 | − | 19.4694i | −0.427924 | − | 0.741186i | ||||
\(691\) | − | 20.4420i | − | 0.777651i | −0.921311 | − | 0.388826i | \(-0.872881\pi\) | ||
0.921311 | − | 0.388826i | \(-0.127119\pi\) | |||||||
\(692\) | −32.3680 | − | 56.0629i | −1.23044 | − | 2.13119i | ||||
\(693\) | −3.26798 | − | 0.446017i | −0.124140 | − | 0.0169428i | ||||
\(694\) | 20.9477i | 0.795164i | ||||||||
\(695\) | −11.4537 | + | 6.61279i | −0.434463 | + | 0.250837i | ||||
\(696\) | − | 6.02174i | − | 0.228253i | ||||||
\(697\) | 17.9719 | − | 10.3761i | 0.680736 | − | 0.393023i | ||||
\(698\) | −10.6187 | − | 18.3921i | −0.401922 | − | 0.696150i | ||||
\(699\) | 9.80099 | + | 16.9758i | 0.370708 | + | 0.642084i | ||||
\(700\) | −34.6613 | + | 14.1649i | −1.31007 | + | 0.535385i | ||||
\(701\) | −25.1373 | −0.949422 | −0.474711 | − | 0.880142i | \(-0.657447\pi\) | ||||
−0.474711 | + | 0.880142i | \(0.657447\pi\) | |||||||
\(702\) | −27.4256 | + | 37.9869i | −1.03511 | + | 1.43372i | ||||
\(703\) | 0.158933 | + | 0.275280i | 0.00599427 | + | 0.0103824i | ||||
\(704\) | 16.6803 | + | 9.63036i | 0.628661 | + | 0.362958i | ||||
\(705\) | −0.449429 | −0.0169265 | ||||||||
\(706\) | 2.48118 | − | 4.29753i | 0.0933804 | − | 0.161740i | ||||
\(707\) | 20.2233 | + | 15.6709i | 0.760576 | + | 0.589363i | ||||
\(708\) | −6.92112 | − | 3.99591i | −0.260112 | − | 0.150176i | ||||
\(709\) | −25.5416 | + | 14.7464i | −0.959234 | + | 0.553814i | −0.895937 | − | 0.444181i | \(-0.853495\pi\) |
−0.0632970 | + | 0.997995i | \(0.520162\pi\) | |||||||
\(710\) | 24.0227 | − | 13.8695i | 0.901556 | − | 0.520514i | ||||
\(711\) | −9.66777 | −0.362570 | ||||||||
\(712\) | 52.6360 | 1.97262 | ||||||||
\(713\) | −53.2287 | + | 30.7316i | −1.99343 | + | 1.15091i | ||||
\(714\) | −11.3916 | + | 14.7009i | −0.426320 | + | 0.550169i | ||||
\(715\) | 0.466399 | − | 4.56908i | 0.0174423 | − | 0.170874i | ||||
\(716\) | 4.78127 | − | 8.28140i | 0.178684 | − | 0.309491i | ||||
\(717\) | −17.0536 | − | 9.84591i | −0.636879 | − | 0.367702i | ||||
\(718\) | −9.85518 | + | 17.0697i | −0.367792 | + | 0.637034i | ||||
\(719\) | −4.16576 | − | 7.21531i | −0.155357 | − | 0.269086i | 0.777832 | − | 0.628472i | \(-0.216319\pi\) |
−0.933189 | + | 0.359386i | \(0.882986\pi\) | |||||||
\(720\) | 0.220044i | 0.00820055i | ||||||||
\(721\) | −20.8680 | − | 16.1704i | −0.777165 | − | 0.602218i | ||||
\(722\) | 37.8946 | + | 21.8784i | 1.41029 | + | 0.814231i | ||||
\(723\) | −1.06435 | − | 0.614504i | −0.0395837 | − | 0.0228537i | ||||
\(724\) | 4.52143 | 0.168038 | ||||||||
\(725\) | −2.91120 | + | 5.04235i | −0.108119 | + | 0.187268i | ||||
\(726\) | 29.6588i | 1.10074i | ||||||||
\(727\) | 9.66141 | 0.358322 | 0.179161 | − | 0.983820i | \(-0.442662\pi\) | ||||
0.179161 | + | 0.983820i | \(0.442662\pi\) | |||||||
\(728\) | 20.7648 | + | 19.7742i | 0.769595 | + | 0.732880i | ||||
\(729\) | 29.7672 | 1.10249 | ||||||||
\(730\) | − | 13.1953i | − | 0.488381i | ||||||
\(731\) | −9.59645 | + | 16.6215i | −0.354938 | + | 0.614770i | ||||
\(732\) | 22.0197 | 0.813870 | ||||||||
\(733\) | −12.1398 | − | 7.00894i | −0.448395 | − | 0.258881i | 0.258757 | − | 0.965942i | \(-0.416687\pi\) |
−0.707152 | + | 0.707061i | \(0.750020\pi\) | |||||||
\(734\) | 4.58425 | + | 2.64672i | 0.169208 | + | 0.0976921i | ||||
\(735\) | −8.46188 | + | 2.18154i | −0.312121 | + | 0.0804672i | ||||
\(736\) | 41.3635i | 1.52468i | ||||||||
\(737\) | −1.53547 | − | 2.65951i | −0.0565598 | − | 0.0979644i | ||||
\(738\) | −9.56704 | + | 16.5706i | −0.352168 | + | 0.609972i | ||||
\(739\) | 33.6145 | + | 19.4073i | 1.23653 | + | 0.713910i | 0.968383 | − | 0.249468i | \(-0.0802559\pi\) |
0.268146 | + | 0.963378i | \(0.413589\pi\) | |||||||
\(740\) | 9.38417 | − | 16.2539i | 0.344969 | − | 0.597504i | ||||
\(741\) | −0.147479 | + | 0.204271i | −0.00541779 | + | 0.00750410i | ||||
\(742\) | −6.25153 | − | 15.2973i | −0.229501 | − | 0.561583i | ||||
\(743\) | 29.7863 | − | 17.1971i | 1.09275 | − | 0.630901i | 0.158445 | − | 0.987368i | \(-0.449352\pi\) |
0.934308 | + | 0.356467i | \(0.116019\pi\) | |||||||
\(744\) | −34.8142 | −1.27635 | ||||||||
\(745\) | 5.39185 | 0.197542 | ||||||||
\(746\) | −23.4742 | + | 13.5528i | −0.859452 | + | 0.496205i | ||||
\(747\) | 8.28434 | − | 4.78297i | 0.303108 | − | 0.175000i | ||||
\(748\) | 8.91346 | + | 5.14619i | 0.325908 | + | 0.188163i | ||||
\(749\) | −3.52848 | + | 25.8533i | −0.128928 | + | 0.944660i | ||||
\(750\) | −13.3445 | + | 23.1134i | −0.487272 | + | 0.843980i | ||||
\(751\) | −48.1470 | −1.75691 | −0.878454 | − | 0.477827i | \(-0.841425\pi\) | ||||
−0.878454 | + | 0.477827i | \(0.841425\pi\) | |||||||
\(752\) | −0.0976479 | − | 0.0563770i | −0.00356085 | − | 0.00205586i | ||||
\(753\) | −20.0908 | − | 34.7983i | −0.732150 | − | 1.26812i | ||||
\(754\) | 11.2334 | + | 1.14667i | 0.409096 | + | 0.0417594i | ||||
\(755\) | 0.562681 | 0.0204781 | ||||||||
\(756\) | 6.67125 | − | 48.8805i | 0.242631 | − | 1.77777i | ||||
\(757\) | 3.45319 | + | 5.98110i | 0.125508 | + | 0.217387i | 0.921931 | − | 0.387353i | \(-0.126611\pi\) |
−0.796423 | + | 0.604740i | \(0.793277\pi\) | |||||||
\(758\) | 9.20262 | + | 15.9394i | 0.334254 | + | 0.578945i | ||||
\(759\) | 14.9986 | − | 8.65942i | 0.544413 | − | 0.314317i | ||||
\(760\) | 0.120789i | 0.00438147i | ||||||||
\(761\) | −27.6895 | + | 15.9865i | −1.00374 | + | 0.579511i | −0.909353 | − | 0.416025i | \(-0.863423\pi\) |
−0.0943888 | + | 0.995535i | \(0.530090\pi\) | |||||||
\(762\) | 53.2781i | 1.93006i | ||||||||
\(763\) | −11.6157 | − | 28.4234i | −0.420517 | − | 1.02900i | ||||
\(764\) | −2.50067 | − | 4.33129i | −0.0904712 | − | 0.156701i | ||||
\(765\) | − | 1.45533i | − | 0.0526174i | ||||||
\(766\) | 32.5274 | + | 56.3391i | 1.17526 | + | 2.03562i | ||||
\(767\) | 3.46382 | − | 4.79769i | 0.125071 | − | 0.173234i | ||||
\(768\) | −13.2397 | + | 22.9319i | −0.477748 | + | 0.827483i | ||||
\(769\) | 12.4665 | − | 7.19752i | 0.449553 | − | 0.259549i | −0.258089 | − | 0.966121i | \(-0.583093\pi\) |
0.707641 | + | 0.706572i | \(0.249759\pi\) | |||||||
\(770\) | 2.93653 | + | 7.18562i | 0.105825 | + | 0.258952i | ||||
\(771\) | −4.82664 | + | 8.35999i | −0.173827 | + | 0.301078i | ||||
\(772\) | 19.9039 | + | 11.4915i | 0.716357 | + | 0.413589i |