Newspace parameters
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.d (of order \(2\), degree \(1\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
Defining polynomial: | \(x^{16} - 6 x^{15} - 195 x^{14} - 642 x^{13} + 89670 x^{12} + 53946 x^{11} + 91115757 x^{10} - 2121785838 x^{9} + 37710373995 x^{8} - 835758339660 x^{7} + 12972600642204 x^{6} - 129499271268696 x^{5} + 2168293345395660 x^{4} - 17336133272224368 x^{3} + 169639595563975056 x^{2} - 1075523563426213440 x + 9241272870780234240\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{11}\cdot 3^{10} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 32.15 | ||
Root | \(18.0754 + 11.0840i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.32 |
Dual form | 33.6.d.b.32.16 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 10.1143 | 1.78797 | 0.893983 | − | 0.448102i | \(-0.147900\pi\) | ||||
0.893983 | + | 0.448102i | \(0.147900\pi\) | |||||||
\(3\) | −10.9611 | − | 11.0840i | −0.703155 | − | 0.711037i | ||||
\(4\) | 70.2982 | 2.19682 | ||||||||
\(5\) | − | 88.5196i | − | 1.58349i | −0.610854 | − | 0.791744i | \(-0.709174\pi\) | ||
0.610854 | − | 0.791744i | \(-0.290826\pi\) | |||||||
\(6\) | −110.863 | − | 112.106i | −1.25722 | − | 1.27131i | ||||
\(7\) | 126.220i | 0.973605i | 0.873512 | + | 0.486803i | \(0.161837\pi\) | ||||
−0.873512 | + | 0.486803i | \(0.838163\pi\) | |||||||
\(8\) | 387.358 | 2.13987 | ||||||||
\(9\) | −2.70883 | + | 242.985i | −0.0111475 | + | 0.999938i | ||||
\(10\) | − | 895.310i | − | 2.83122i | ||||||
\(11\) | 398.959 | + | 43.3939i | 0.994137 | + | 0.108130i | ||||
\(12\) | −770.545 | − | 779.183i | −1.54470 | − | 1.56202i | ||||
\(13\) | 523.100i | 0.858473i | 0.903192 | + | 0.429236i | \(0.141217\pi\) | ||||
−0.903192 | + | 0.429236i | \(0.858783\pi\) | |||||||
\(14\) | 1276.62i | 1.74077i | ||||||||
\(15\) | −981.149 | + | 970.272i | −1.12592 | + | 1.11344i | ||||
\(16\) | 1668.30 | 1.62920 | ||||||||
\(17\) | −1039.45 | −0.872332 | −0.436166 | − | 0.899866i | \(-0.643664\pi\) | ||||
−0.436166 | + | 0.899866i | \(0.643664\pi\) | |||||||
\(18\) | −27.3978 | + | 2457.61i | −0.0199313 | + | 1.78785i | ||||
\(19\) | − | 842.227i | − | 0.535236i | −0.963525 | − | 0.267618i | \(-0.913764\pi\) | ||
0.963525 | − | 0.267618i | \(-0.0862365\pi\) | |||||||
\(20\) | − | 6222.77i | − | 3.47864i | ||||||
\(21\) | 1399.02 | − | 1383.51i | 0.692269 | − | 0.684595i | ||||
\(22\) | 4035.17 | + | 438.897i | 1.77748 | + | 0.193333i | ||||
\(23\) | 2472.99i | 0.974770i | 0.873187 | + | 0.487385i | \(0.162049\pi\) | ||||
−0.873187 | + | 0.487385i | \(0.837951\pi\) | |||||||
\(24\) | −4245.87 | − | 4293.47i | −1.50466 | − | 1.52153i | ||||
\(25\) | −4710.72 | −1.50743 | ||||||||
\(26\) | 5290.77i | 1.53492i | ||||||||
\(27\) | 2722.93 | − | 2633.36i | 0.718831 | − | 0.695185i | ||||
\(28\) | 8873.04i | 2.13883i | ||||||||
\(29\) | 3569.99 | 0.788265 | 0.394133 | − | 0.919054i | \(-0.371045\pi\) | ||||
0.394133 | + | 0.919054i | \(0.371045\pi\) | |||||||
\(30\) | −9923.59 | + | 9813.58i | −2.01310 | + | 1.99078i | ||||
\(31\) | −215.057 | −0.0401929 | −0.0200964 | − | 0.999798i | \(-0.506397\pi\) | ||||
−0.0200964 | + | 0.999798i | \(0.506397\pi\) | |||||||
\(32\) | 4478.13 | 0.773074 | ||||||||
\(33\) | −3892.05 | − | 4897.69i | −0.622147 | − | 0.782900i | ||||
\(34\) | −10513.3 | −1.55970 | ||||||||
\(35\) | 11172.9 | 1.54169 | ||||||||
\(36\) | −190.426 | + | 17081.4i | −0.0244889 | + | 2.19668i | ||||
\(37\) | −3626.51 | −0.435496 | −0.217748 | − | 0.976005i | \(-0.569871\pi\) | ||||
−0.217748 | + | 0.976005i | \(0.569871\pi\) | |||||||
\(38\) | − | 8518.50i | − | 0.956983i | ||||||
\(39\) | 5798.03 | − | 5733.75i | 0.610406 | − | 0.603639i | ||||
\(40\) | − | 34288.8i | − | 3.38846i | ||||||
\(41\) | −8845.46 | −0.821790 | −0.410895 | − | 0.911683i | \(-0.634784\pi\) | ||||
−0.410895 | + | 0.911683i | \(0.634784\pi\) | |||||||
\(42\) | 14150.0 | − | 13993.2i | 1.23775 | − | 1.22403i | ||||
\(43\) | − | 5262.04i | − | 0.433993i | −0.976172 | − | 0.216996i | \(-0.930374\pi\) | ||
0.976172 | − | 0.216996i | \(-0.0696260\pi\) | |||||||
\(44\) | 28046.1 | + | 3050.51i | 2.18394 | + | 0.237543i | ||||
\(45\) | 21508.9 | + | 239.785i | 1.58339 | + | 0.0176518i | ||||
\(46\) | 25012.4i | 1.74285i | ||||||||
\(47\) | − | 9059.89i | − | 0.598244i | −0.954215 | − | 0.299122i | \(-0.903306\pi\) | ||
0.954215 | − | 0.299122i | \(-0.0966938\pi\) | |||||||
\(48\) | −18286.4 | − | 18491.4i | −1.14558 | − | 1.15842i | ||||
\(49\) | 875.528 | 0.0520931 | ||||||||
\(50\) | −47645.5 | −2.69523 | ||||||||
\(51\) | 11393.5 | + | 11521.2i | 0.613384 | + | 0.620260i | ||||
\(52\) | 36773.0i | 1.88591i | ||||||||
\(53\) | − | 897.191i | − | 0.0438728i | −0.999759 | − | 0.0219364i | \(-0.993017\pi\) | ||
0.999759 | − | 0.0219364i | \(-0.00698313\pi\) | |||||||
\(54\) | 27540.4 | − | 26634.4i | 1.28525 | − | 1.24297i | ||||
\(55\) | 3841.21 | − | 35315.7i | 0.171223 | − | 1.57420i | ||||
\(56\) | 48892.3i | 2.08339i | ||||||||
\(57\) | −9335.22 | + | 9231.73i | −0.380572 | + | 0.376353i | ||||
\(58\) | 36107.8 | 1.40939 | ||||||||
\(59\) | − | 36226.0i | − | 1.35485i | −0.735593 | − | 0.677424i | \(-0.763096\pi\) | ||
0.735593 | − | 0.677424i | \(-0.236904\pi\) | |||||||
\(60\) | −68973.0 | + | 68208.4i | −2.47344 | + | 2.44602i | ||||
\(61\) | 15319.3i | 0.527125i | 0.964642 | + | 0.263563i | \(0.0848976\pi\) | ||||
−0.964642 | + | 0.263563i | \(0.915102\pi\) | |||||||
\(62\) | −2175.14 | −0.0718634 | ||||||||
\(63\) | −30669.5 | − | 341.908i | −0.973545 | − | 0.0108532i | ||||
\(64\) | −8092.58 | −0.246966 | ||||||||
\(65\) | 46304.6 | 1.35938 | ||||||||
\(66\) | −39365.2 | − | 49536.5i | −1.11238 | − | 1.39980i | ||||
\(67\) | −53380.7 | −1.45277 | −0.726385 | − | 0.687288i | \(-0.758801\pi\) | ||||
−0.726385 | + | 0.687288i | \(0.758801\pi\) | |||||||
\(68\) | −73071.6 | −1.91636 | ||||||||
\(69\) | 27410.5 | − | 27106.6i | 0.693098 | − | 0.685414i | ||||
\(70\) | 113006. | 2.75649 | ||||||||
\(71\) | 33693.5i | 0.793233i | 0.917984 | + | 0.396616i | \(0.129816\pi\) | ||||
−0.917984 | + | 0.396616i | \(0.870184\pi\) | |||||||
\(72\) | −1049.29 | + | 94122.2i | −0.0238541 | + | 2.13974i | ||||
\(73\) | 76140.5i | 1.67228i | 0.548518 | + | 0.836139i | \(0.315192\pi\) | ||||
−0.548518 | + | 0.836139i | \(0.684808\pi\) | |||||||
\(74\) | −36679.4 | −0.778652 | ||||||||
\(75\) | 51634.7 | + | 52213.5i | 1.05996 | + | 1.07184i | ||||
\(76\) | − | 59207.1i | − | 1.17582i | ||||||
\(77\) | −5477.18 | + | 50356.5i | −0.105276 | + | 0.967897i | ||||
\(78\) | 58642.7 | − | 57992.6i | 1.09138 | − | 1.07929i | ||||
\(79\) | − | 106783.i | − | 1.92502i | −0.271251 | − | 0.962509i | \(-0.587437\pi\) | ||
0.271251 | − | 0.962509i | \(-0.412563\pi\) | |||||||
\(80\) | − | 147677.i | − | 2.57981i | ||||||
\(81\) | −59034.3 | − | 1316.41i | −0.999751 | − | 0.0222935i | ||||
\(82\) | −89465.2 | −1.46933 | ||||||||
\(83\) | 20385.5 | 0.324808 | 0.162404 | − | 0.986724i | \(-0.448075\pi\) | ||||
0.162404 | + | 0.986724i | \(0.448075\pi\) | |||||||
\(84\) | 98348.5 | − | 97258.2i | 1.52079 | − | 1.50393i | ||||
\(85\) | 92011.8i | 1.38133i | ||||||||
\(86\) | − | 53221.6i | − | 0.775964i | ||||||
\(87\) | −39131.0 | − | 39569.7i | −0.554272 | − | 0.560486i | ||||
\(88\) | 154540. | + | 16809.0i | 2.12732 | + | 0.231385i | ||||
\(89\) | 11850.9i | 0.158591i | 0.996851 | + | 0.0792953i | \(0.0252670\pi\) | ||||
−0.996851 | + | 0.0792953i | \(0.974733\pi\) | |||||||
\(90\) | 217547. | + | 2425.24i | 2.83104 | + | 0.0315609i | ||||
\(91\) | −66025.7 | −0.835813 | ||||||||
\(92\) | 173847.i | 2.14139i | ||||||||
\(93\) | 2357.26 | + | 2383.68i | 0.0282618 | + | 0.0285786i | ||||
\(94\) | − | 91634.1i | − | 1.06964i | ||||||
\(95\) | −74553.6 | −0.847539 | ||||||||
\(96\) | −49085.2 | − | 49635.4i | −0.543591 | − | 0.549685i | ||||
\(97\) | −67716.0 | −0.730738 | −0.365369 | − | 0.930863i | \(-0.619057\pi\) | ||||
−0.365369 | + | 0.930863i | \(0.619057\pi\) | |||||||
\(98\) | 8855.32 | 0.0931406 | ||||||||
\(99\) | −11624.8 | + | 96823.4i | −0.119206 | + | 0.992870i | ||||
\(100\) | −331155. | −3.31155 | ||||||||
\(101\) | −90346.0 | −0.881263 | −0.440631 | − | 0.897688i | \(-0.645245\pi\) | ||||
−0.440631 | + | 0.897688i | \(0.645245\pi\) | |||||||
\(102\) | 115237. | + | 116529.i | 1.09671 | + | 1.10900i | ||||
\(103\) | −11291.0 | −0.104867 | −0.0524335 | − | 0.998624i | \(-0.516698\pi\) | ||||
−0.0524335 | + | 0.998624i | \(0.516698\pi\) | |||||||
\(104\) | 202627.i | 1.83702i | ||||||||
\(105\) | −122468. | − | 123841.i | −1.08405 | − | 1.09620i | ||||
\(106\) | − | 9074.42i | − | 0.0784430i | ||||||
\(107\) | 187842. | 1.58611 | 0.793054 | − | 0.609151i | \(-0.208490\pi\) | ||||
0.793054 | + | 0.609151i | \(0.208490\pi\) | |||||||
\(108\) | 191417. | − | 185120.i | 1.57914 | − | 1.52719i | ||||
\(109\) | 85380.2i | 0.688321i | 0.938911 | + | 0.344161i | \(0.111836\pi\) | ||||
−0.938911 | + | 0.344161i | \(0.888164\pi\) | |||||||
\(110\) | 38851.0 | − | 357192.i | 0.306140 | − | 2.81462i | ||||
\(111\) | 39750.5 | + | 40196.1i | 0.306221 | + | 0.309654i | ||||
\(112\) | 210572.i | 1.58619i | ||||||||
\(113\) | − | 72617.4i | − | 0.534989i | −0.963559 | − | 0.267494i | \(-0.913804\pi\) | ||
0.963559 | − | 0.267494i | \(-0.0861957\pi\) | |||||||
\(114\) | −94418.8 | + | 93372.1i | −0.680450 | + | 0.672907i | ||||
\(115\) | 218908. | 1.54354 | ||||||||
\(116\) | 250964. | 1.73168 | ||||||||
\(117\) | −127105. | − | 1416.99i | −0.858419 | − | 0.00956978i | ||||
\(118\) | − | 366399.i | − | 2.42242i | ||||||
\(119\) | − | 131199.i | − | 0.849307i | ||||||
\(120\) | −380056. | + | 375843.i | −2.40932 | + | 2.38261i | ||||
\(121\) | 157285. | + | 34624.8i | 0.976616 | + | 0.214992i | ||||
\(122\) | 154943.i | 0.942482i | ||||||||
\(123\) | 96955.9 | + | 98042.8i | 0.577845 | + | 0.584323i | ||||
\(124\) | −15118.1 | −0.0882965 | ||||||||
\(125\) | 140368.i | 0.803511i | ||||||||
\(126\) | −310200. | − | 3458.15i | −1.74066 | − | 0.0194052i | ||||
\(127\) | 151435.i | 0.833139i | 0.909104 | + | 0.416569i | \(0.136768\pi\) | ||||
−0.909104 | + | 0.416569i | \(0.863232\pi\) | |||||||
\(128\) | −225150. | −1.21464 | ||||||||
\(129\) | −58324.3 | + | 57677.7i | −0.308585 | + | 0.305164i | ||||
\(130\) | 468337. | 2.43052 | ||||||||
\(131\) | 206332. | 1.05048 | 0.525242 | − | 0.850953i | \(-0.323975\pi\) | ||||
0.525242 | + | 0.850953i | \(0.323975\pi\) | |||||||
\(132\) | −273604. | − | 344299.i | −1.36674 | − | 1.71989i | ||||
\(133\) | 106306. | 0.521108 | ||||||||
\(134\) | −539906. | −2.59750 | ||||||||
\(135\) | −233104. | − | 241033.i | −1.10082 | − | 1.13826i | ||||
\(136\) | −402640. | −1.86668 | ||||||||
\(137\) | − | 275648.i | − | 1.25474i | −0.778721 | − | 0.627371i | \(-0.784131\pi\) | ||
0.778721 | − | 0.627371i | \(-0.215869\pi\) | |||||||
\(138\) | 277237. | − | 274164.i | 1.23923 | − | 1.22550i | ||||
\(139\) | 81387.0i | 0.357288i | 0.983914 | + | 0.178644i | \(0.0571710\pi\) | ||||
−0.983914 | + | 0.178644i | \(0.942829\pi\) | |||||||
\(140\) | 785438. | 3.38682 | ||||||||
\(141\) | −100420. | + | 99306.4i | −0.425374 | + | 0.420658i | ||||
\(142\) | 340785.i | 1.41827i | ||||||||
\(143\) | −22699.4 | + | 208695.i | −0.0928268 | + | 0.853439i | ||||
\(144\) | −4519.13 | + | 405371.i | −0.0181614 | + | 1.62909i | ||||
\(145\) | − | 316014.i | − | 1.24821i | ||||||
\(146\) | 770104.i | 2.98997i | ||||||||
\(147\) | −9596.74 | − | 9704.33i | −0.0366295 | − | 0.0370401i | ||||
\(148\) | −254937. | −0.956706 | ||||||||
\(149\) | −60929.5 | −0.224834 | −0.112417 | − | 0.993661i | \(-0.535859\pi\) | ||||
−0.112417 | + | 0.993661i | \(0.535859\pi\) | |||||||
\(150\) | 522246. | + | 528101.i | 1.89517 | + | 1.91641i | ||||
\(151\) | − | 438115.i | − | 1.56367i | −0.623483 | − | 0.781837i | \(-0.714283\pi\) | ||
0.623483 | − | 0.781837i | \(-0.285717\pi\) | |||||||
\(152\) | − | 326243.i | − | 1.14534i | ||||||
\(153\) | 2815.70 | − | 252571.i | 0.00972428 | − | 0.872278i | ||||
\(154\) | −55397.6 | + | 509319.i | −0.188230 | + | 1.73057i | ||||
\(155\) | 19036.7i | 0.0636449i | ||||||||
\(156\) | 407591. | − | 403072.i | 1.34095 | − | 1.32609i | ||||
\(157\) | 345267. | 1.11791 | 0.558954 | − | 0.829198i | \(-0.311203\pi\) | ||||
0.558954 | + | 0.829198i | \(0.311203\pi\) | |||||||
\(158\) | − | 1.08003e6i | − | 3.44186i | ||||||
\(159\) | −9944.43 | + | 9834.19i | −0.0311952 | + | 0.0308493i | ||||
\(160\) | − | 396402.i | − | 1.22415i | ||||||
\(161\) | −312140. | −0.949041 | ||||||||
\(162\) | −597088. | − | 13314.5i | −1.78752 | − | 0.0398600i | ||||
\(163\) | 65897.0 | 0.194266 | 0.0971330 | − | 0.995271i | \(-0.469033\pi\) | ||||
0.0971330 | + | 0.995271i | \(0.469033\pi\) | |||||||
\(164\) | −621820. | −1.80532 | ||||||||
\(165\) | −433542. | + | 344522.i | −1.23971 | + | 0.985162i | ||||
\(166\) | 206185. | 0.580746 | ||||||||
\(167\) | 685804. | 1.90287 | 0.951434 | − | 0.307852i | \(-0.0996101\pi\) | ||||
0.951434 | + | 0.307852i | \(0.0996101\pi\) | |||||||
\(168\) | 541921. | − | 535913.i | 1.48137 | − | 1.46494i | ||||
\(169\) | 97659.3 | 0.263025 | ||||||||
\(170\) | 930631.i | 2.46976i | ||||||||
\(171\) | 204648. | + | 2281.45i | 0.535203 | + | 0.00596652i | ||||
\(172\) | − | 369912.i | − | 0.953404i | ||||||
\(173\) | 331628. | 0.842434 | 0.421217 | − | 0.906960i | \(-0.361603\pi\) | ||||
0.421217 | + | 0.906960i | \(0.361603\pi\) | |||||||
\(174\) | −395781. | − | 400218.i | −0.991019 | − | 1.00213i | ||||
\(175\) | − | 594587.i | − | 1.46764i | ||||||
\(176\) | 665581. | + | 72393.9i | 1.61964 | + | 0.176165i | ||||
\(177\) | −401528. | + | 397077.i | −0.963347 | + | 0.952668i | ||||
\(178\) | 119863.i | 0.283554i | ||||||||
\(179\) | − | 502450.i | − | 1.17209i | −0.810279 | − | 0.586044i | \(-0.800685\pi\) | ||
0.810279 | − | 0.586044i | \(-0.199315\pi\) | |||||||
\(180\) | 1.51204e6 | + | 16856.4i | 3.47842 | + | 0.0387779i | ||||
\(181\) | −815453. | −1.85013 | −0.925066 | − | 0.379808i | \(-0.875990\pi\) | ||||
−0.925066 | + | 0.379808i | \(0.875990\pi\) | |||||||
\(182\) | −667801. | −1.49440 | ||||||||
\(183\) | 169799. | − | 167916.i | 0.374806 | − | 0.370651i | ||||
\(184\) | 957931.i | 2.08588i | ||||||||
\(185\) | 321017.i | 0.689602i | ||||||||
\(186\) | 23841.9 | + | 24109.2i | 0.0505311 | + | 0.0510976i | ||||
\(187\) | −414698. | − | 45105.9i | −0.867217 | − | 0.0943255i | ||||
\(188\) | − | 636894.i | − | 1.31423i | ||||||
\(189\) | 332382. | + | 343688.i | 0.676835 | + | 0.699858i | ||||
\(190\) | −754054. | −1.51537 | ||||||||
\(191\) | 527471.i | 1.04620i | 0.852271 | + | 0.523100i | \(0.175225\pi\) | ||||
−0.852271 | + | 0.523100i | \(0.824775\pi\) | |||||||
\(192\) | 88703.6 | + | 89697.9i | 0.173655 | + | 0.175602i | ||||
\(193\) | 572950.i | 1.10719i | 0.832785 | + | 0.553597i | \(0.186745\pi\) | ||||
−0.832785 | + | 0.553597i | \(0.813255\pi\) | |||||||
\(194\) | −684897. | −1.30653 | ||||||||
\(195\) | −507549. | − | 513239.i | −0.955854 | − | 0.966570i | ||||
\(196\) | 61548.1 | 0.114439 | ||||||||
\(197\) | 284594. | 0.522468 | 0.261234 | − | 0.965276i | \(-0.415871\pi\) | ||||
0.261234 | + | 0.965276i | \(0.415871\pi\) | |||||||
\(198\) | −117576. | + | 979297.i | −0.213135 | + | 1.77522i | ||||
\(199\) | 425383. | 0.761461 | 0.380730 | − | 0.924686i | \(-0.375673\pi\) | ||||
0.380730 | + | 0.924686i | \(0.375673\pi\) | |||||||
\(200\) | −1.82474e6 | −3.22571 | ||||||||
\(201\) | 585110. | + | 591670.i | 1.02152 | + | 1.03297i | ||||
\(202\) | −913783. | −1.57567 | ||||||||
\(203\) | 450604.i | 0.767459i | ||||||||
\(204\) | 800944. | + | 809923.i | 1.34749 | + | 1.36260i | ||||
\(205\) | 782997.i | 1.30129i | ||||||||
\(206\) | −114200. | −0.187499 | ||||||||
\(207\) | −600898. | − | 6698.90i | −0.974709 | − | 0.0108662i | ||||
\(208\) | 872686.i | 1.39862i | ||||||||
\(209\) | 36547.5 | − | 336014.i | 0.0578752 | − | 0.532098i | ||||
\(210\) | −1.23867e6 | − | 1.25256e6i | −1.93824 | − | 1.95997i | ||||
\(211\) | 120728.i | 0.186682i | 0.995634 | + | 0.0933410i | \(0.0297547\pi\) | ||||
−0.995634 | + | 0.0933410i | \(0.970245\pi\) | |||||||
\(212\) | − | 63070.9i | − | 0.0963805i | ||||||
\(213\) | 373458. | − | 369318.i | 0.564018 | − | 0.557765i | ||||
\(214\) | 1.89988e6 | 2.83591 | ||||||||
\(215\) | −465793. | −0.687222 | ||||||||
\(216\) | 1.05475e6 | − | 1.02005e6i | 1.53821 | − | 1.48761i | ||||
\(217\) | − | 27144.5i | − | 0.0391320i | ||||||
\(218\) | 863558.i | 1.23069i | ||||||||
\(219\) | 843939. | − | 834583.i | 1.18905 | − | 1.17587i | ||||
\(220\) | 270030. | − | 2.48263e6i | 0.376146 | − | 3.45824i | ||||
\(221\) | − | 543737.i | − | 0.748873i | ||||||
\(222\) | 402047. | + | 406554.i | 0.547512 | + | 0.553650i | ||||
\(223\) | 307332. | 0.413853 | 0.206926 | − | 0.978357i | \(-0.433654\pi\) | ||||
0.206926 | + | 0.978357i | \(0.433654\pi\) | |||||||
\(224\) | 565229.i | 0.752669i | ||||||||
\(225\) | 12760.6 | − | 1.14463e6i | 0.0168040 | − | 1.50734i | ||||
\(226\) | − | 734471.i | − | 0.956542i | ||||||
\(227\) | −458186. | −0.590170 | −0.295085 | − | 0.955471i | \(-0.595348\pi\) | ||||
−0.295085 | + | 0.955471i | \(0.595348\pi\) | |||||||
\(228\) | −656249. | + | 648974.i | −0.836049 | + | 0.826781i | ||||
\(229\) | 246534. | 0.310662 | 0.155331 | − | 0.987862i | \(-0.450356\pi\) | ||||
0.155331 | + | 0.987862i | \(0.450356\pi\) | |||||||
\(230\) | 2.21409e6 | 2.75979 | ||||||||
\(231\) | 618186. | − | 491254.i | 0.762236 | − | 0.605726i | ||||
\(232\) | 1.38287e6 | 1.68679 | ||||||||
\(233\) | −599273. | −0.723161 | −0.361580 | − | 0.932341i | \(-0.617763\pi\) | ||||
−0.361580 | + | 0.932341i | \(0.617763\pi\) | |||||||
\(234\) | −1.28558e6 | − | 14331.8i | −1.53482 | − | 0.0171104i | ||||
\(235\) | −801978. | −0.947312 | ||||||||
\(236\) | − | 2.54663e6i | − | 2.97636i | ||||||
\(237\) | −1.18358e6 | + | 1.17046e6i | −1.36876 | + | 1.35358i | ||||
\(238\) | − | 1.32699e6i | − | 1.51853i | ||||||
\(239\) | −357849. | −0.405234 | −0.202617 | − | 0.979258i | \(-0.564945\pi\) | ||||
−0.202617 | + | 0.979258i | \(0.564945\pi\) | |||||||
\(240\) | −1.63685e6 | + | 1.61870e6i | −1.83434 | + | 1.81401i | ||||
\(241\) | − | 570630.i | − | 0.632867i | −0.948615 | − | 0.316433i | \(-0.897515\pi\) | ||
0.948615 | − | 0.316433i | \(-0.102485\pi\) | |||||||
\(242\) | 1.59082e6 | + | 350204.i | 1.74615 | + | 0.384399i | ||||
\(243\) | 632490. | + | 668764.i | 0.687128 | + | 0.726536i | ||||
\(244\) | 1.07692e6i | 1.15800i | ||||||||
\(245\) | − | 77501.4i | − | 0.0824887i | ||||||
\(246\) | 980637. | + | 991630.i | 1.03317 | + | 1.04475i | ||||
\(247\) | 440569. | 0.459485 | ||||||||
\(248\) | −83304.0 | −0.0860076 | ||||||||
\(249\) | −223448. | − | 225953.i | −0.228390 | − | 0.230951i | ||||
\(250\) | 1.41971e6i | 1.43665i | ||||||||
\(251\) | − | 823625.i | − | 0.825173i | −0.910918 | − | 0.412587i | \(-0.864625\pi\) | ||
0.910918 | − | 0.412587i | \(-0.135375\pi\) | |||||||
\(252\) | −2.15601e6 | − | 24035.6i | −2.13870 | − | 0.0238426i | ||||
\(253\) | −107313. | + | 986619.i | −0.105402 | + | 0.969055i | ||||
\(254\) | 1.53165e6i | 1.48962i | ||||||||
\(255\) | 1.01986e6 | − | 1.00855e6i | 0.982174 | − | 0.971286i | ||||
\(256\) | −2.01827e6 | −1.92477 | ||||||||
\(257\) | 1.66449e6i | 1.57198i | 0.618238 | + | 0.785991i | \(0.287847\pi\) | ||||
−0.618238 | + | 0.785991i | \(0.712153\pi\) | |||||||
\(258\) | −589907. | + | 583367.i | −0.551739 | + | 0.545623i | ||||
\(259\) | − | 457737.i | − | 0.424001i | ||||||
\(260\) | 3.25513e6 | 2.98631 | ||||||||
\(261\) | −9670.51 | + | 867454.i | −0.00878715 | + | 0.788216i | ||||
\(262\) | 2.08690e6 | 1.87823 | ||||||||
\(263\) | 612387. | 0.545929 | 0.272965 | − | 0.962024i | \(-0.411996\pi\) | ||||
0.272965 | + | 0.962024i | \(0.411996\pi\) | |||||||
\(264\) | −1.50762e6 | − | 1.89716e6i | −1.33131 | − | 1.67531i | ||||
\(265\) | −79419.0 | −0.0694720 | ||||||||
\(266\) | 1.07520e6 | 0.931723 | ||||||||
\(267\) | 131355. | − | 129899.i | 0.112764 | − | 0.111514i | ||||
\(268\) | −3.75257e6 | −3.19147 | ||||||||
\(269\) | − | 662606.i | − | 0.558309i | −0.960246 | − | 0.279155i | \(-0.909946\pi\) | ||
0.960246 | − | 0.279155i | \(-0.0900542\pi\) | |||||||
\(270\) | −2.35767e6 | − | 2.43787e6i | −1.96822 | − | 2.03517i | ||||
\(271\) | 1.01210e6i | 0.837144i | 0.908184 | + | 0.418572i | \(0.137469\pi\) | ||||
−0.908184 | + | 0.418572i | \(0.862531\pi\) | |||||||
\(272\) | −1.73411e6 | −1.42120 | ||||||||
\(273\) | 723713. | + | 731826.i | 0.587706 | + | 0.594294i | ||||
\(274\) | − | 2.78798e6i | − | 2.24343i | ||||||
\(275\) | −1.87938e6 | − | 204417.i | −1.49859 | − | 0.162999i | ||||
\(276\) | 1.92691e6 | − | 1.90555e6i | 1.52261 | − | 1.50573i | ||||
\(277\) | − | 2.02312e6i | − | 1.58425i | −0.610360 | − | 0.792124i | \(-0.708975\pi\) | ||
0.610360 | − | 0.792124i | \(-0.291025\pi\) | |||||||
\(278\) | 823169.i | 0.638818i | ||||||||
\(279\) | 582.553 | − | 52255.6i | 0.000448048 | − | 0.0401904i | ||||
\(280\) | 4.32793e6 | 3.29902 | ||||||||
\(281\) | 818601. | 0.618453 | 0.309226 | − | 0.950988i | \(-0.399930\pi\) | ||||
0.309226 | + | 0.950988i | \(0.399930\pi\) | |||||||
\(282\) | −1.01567e6 | + | 1.00441e6i | −0.760554 | + | 0.752122i | ||||
\(283\) | 1.73555e6i | 1.28816i | 0.764957 | + | 0.644081i | \(0.222760\pi\) | ||||
−0.764957 | + | 0.644081i | \(0.777240\pi\) | |||||||
\(284\) | 2.36860e6i | 1.74259i | ||||||||
\(285\) | 817189. | + | 826350.i | 0.595951 | + | 0.602632i | ||||
\(286\) | −229587. | + | 2.11080e6i | −0.165971 | + | 1.52592i | ||||
\(287\) | − | 1.11647e6i | − | 0.800099i | ||||||
\(288\) | −12130.5 | + | 1.08812e6i | −0.00861781 | + | 0.773026i | ||||
\(289\) | −339398. | −0.239037 | ||||||||
\(290\) | − | 3.19625e6i | − | 2.23175i | ||||||
\(291\) | 742241. | + | 750562.i | 0.513822 | + | 0.519582i | ||||
\(292\) | 5.35254e6i | 3.67369i | ||||||||
\(293\) | −2.61963e6 | −1.78267 | −0.891336 | − | 0.453344i | \(-0.850231\pi\) | ||||
−0.891336 | + | 0.453344i | \(0.850231\pi\) | |||||||
\(294\) | −97063.9 | − | 98152.1i | −0.0654922 | − | 0.0662264i | ||||
\(295\) | −3.20671e6 | −2.14538 | ||||||||
\(296\) | −1.40476e6 | −0.931905 | ||||||||
\(297\) | 1.20061e6 | − | 932441.i | 0.789787 | − | 0.613381i | ||||
\(298\) | −616257. | −0.401995 | ||||||||
\(299\) | −1.29362e6 | −0.836813 | ||||||||
\(300\) | 3.62983e6 | + | 3.67052e6i | 2.32853 | + | 2.35464i | ||||
\(301\) | 664174. | 0.422538 | ||||||||
\(302\) | − | 4.43121e6i | − | 2.79579i | ||||||
\(303\) | 990291. | + | 1.00139e6i | 0.619664 | + | 0.626610i | ||||
\(304\) | − | 1.40508e6i | − | 0.872004i | ||||||
\(305\) | 1.35606e6 | 0.834696 | ||||||||
\(306\) | 28478.7 | − | 2.55457e6i | 0.0173867 | − | 1.55960i | ||||
\(307\) | − | 103438.i | − | 0.0626377i | −0.999509 | − | 0.0313188i | \(-0.990029\pi\) | ||
0.999509 | − | 0.0313188i | \(-0.00997072\pi\) | |||||||
\(308\) | −385036. | + | 3.53997e6i | −0.231273 | + | 2.12629i | ||||
\(309\) | 123762. | + | 125149.i | 0.0737377 | + | 0.0745643i | ||||
\(310\) | 192543.i | 0.113795i | ||||||||
\(311\) | − | 1.12357e6i | − | 0.658716i | −0.944205 | − | 0.329358i | \(-0.893168\pi\) | ||
0.944205 | − | 0.329358i | \(-0.106832\pi\) | |||||||
\(312\) | 2.24591e6 | − | 2.22101e6i | 1.30619 | − | 1.29171i | ||||
\(313\) | −1.99753e6 | −1.15248 | −0.576239 | − | 0.817281i | \(-0.695480\pi\) | ||||
−0.576239 | + | 0.817281i | \(0.695480\pi\) | |||||||
\(314\) | 3.49212e6 | 1.99878 | ||||||||
\(315\) | −30265.6 | + | 2.71486e6i | −0.0171859 | + | 1.54160i | ||||
\(316\) | − | 7.50666e6i | − | 4.22892i | ||||||
\(317\) | 2.55991e6i | 1.43079i | 0.698720 | + | 0.715395i | \(0.253753\pi\) | ||||
−0.698720 | + | 0.715395i | \(0.746247\pi\) | |||||||
\(318\) | −100581. | + | 99465.5i | −0.0557759 | + | 0.0551575i | ||||
\(319\) | 1.42428e6 | + | 154916.i | 0.783643 | + | 0.0852353i | ||||
\(320\) | 716352.i | 0.391067i | ||||||||
\(321\) | −2.05895e6 | − | 2.08203e6i | −1.11528 | − | 1.12778i | ||||
\(322\) | −3.15707e6 | −1.69685 | ||||||||
\(323\) | 875454.i | 0.466903i | ||||||||
\(324\) | −4.15001e6 | − | 92541.3i | −2.19627 | − | 0.0489748i | ||||
\(325\) | − | 2.46418e6i | − | 1.29409i | ||||||
\(326\) | 666499. | 0.347341 | ||||||||
\(327\) | 946352. | − | 935861.i | 0.489422 | − | 0.483996i | ||||
\(328\) | −3.42636e6 | −1.75852 | ||||||||
\(329\) | 1.14354e6 | 0.582454 | ||||||||
\(330\) | −4.38495e6 | + | 3.48459e6i | −2.21656 | + | 1.76144i | ||||
\(331\) | −537352. | −0.269581 | −0.134790 | − | 0.990874i | \(-0.543036\pi\) | ||||
−0.134790 | + | 0.990874i | \(0.543036\pi\) | |||||||
\(332\) | 1.43307e6 | 0.713545 | ||||||||
\(333\) | 9823.59 | − | 881186.i | 0.00485467 | − | 0.435469i | ||||
\(334\) | 6.93640e6 | 3.40226 | ||||||||
\(335\) | 4.72524e6i | 2.30044i | ||||||||
\(336\) | 2.33398e6 | − | 2.30810e6i | 1.12784 | − | 1.11534i | ||||
\(337\) | 156793.i | 0.0752058i | 0.999293 | + | 0.0376029i | \(0.0119722\pi\) | ||||
−0.999293 | + | 0.0376029i | \(0.988028\pi\) | |||||||
\(338\) | 987752. | 0.470279 | ||||||||
\(339\) | −804889. | + | 795966.i | −0.380397 | + | 0.376180i | ||||
\(340\) | 6.46827e6i | 3.03453i | ||||||||
\(341\) | −85798.8 | − | 9332.16i | −0.0399572 | − | 0.00434606i | ||||
\(342\) | 2.06987e6 | + | 23075.2i | 0.956923 | + | 0.0106679i | ||||
\(343\) | 2.23189e6i | 1.02432i | ||||||||
\(344\) | − | 2.03829e6i | − | 0.928689i | ||||||
\(345\) | −2.39947e6 | − | 2.42637e6i | −1.08534 | − | 1.09751i | ||||
\(346\) | 3.35417e6 | 1.50624 | ||||||||
\(347\) | −1.90705e6 | −0.850235 | −0.425117 | − | 0.905138i | \(-0.639767\pi\) | ||||
−0.425117 | + | 0.905138i | \(0.639767\pi\) | |||||||
\(348\) | −2.75084e6 | − | 2.78168e6i | −1.21764 | − | 1.23129i | ||||
\(349\) | − | 444271.i | − | 0.195247i | −0.995223 | − | 0.0976236i | \(-0.968876\pi\) | ||
0.995223 | − | 0.0976236i | \(-0.0311241\pi\) | |||||||
\(350\) | − | 6.01381e6i | − | 2.62409i | ||||||
\(351\) | 1.37751e6 | + | 1.42436e6i | 0.596797 | + | 0.617097i | ||||
\(352\) | 1.78659e6 | + | 194323.i | 0.768542 | + | 0.0835927i | ||||
\(353\) | − | 3.40494e6i | − | 1.45436i | −0.686444 | − | 0.727182i | \(-0.740829\pi\) | ||
0.686444 | − | 0.727182i | \(-0.259171\pi\) | |||||||
\(354\) | −4.06116e6 | + | 4.01614e6i | −1.72243 | + | 1.70334i | ||||
\(355\) | 2.98254e6 | 1.25607 | ||||||||
\(356\) | 833099.i | 0.348395i | ||||||||
\(357\) | −1.45421e6 | + | 1.43809e6i | −0.603889 | + | 0.597194i | ||||
\(358\) | − | 5.08191e6i | − | 2.09565i | ||||||
\(359\) | 585269. | 0.239673 | 0.119837 | − | 0.992794i | \(-0.461763\pi\) | ||||
0.119837 | + | 0.992794i | \(0.461763\pi\) | |||||||
\(360\) | 8.33166e6 | + | 92882.5i | 3.38825 | + | 0.0377727i | ||||
\(361\) | 1.76675e6 | 0.713523 | ||||||||
\(362\) | −8.24770e6 | −3.30797 | ||||||||
\(363\) | −1.34024e6 | − | 2.12287e6i | −0.533844 | − | 0.845583i | ||||
\(364\) | −4.64149e6 | −1.83613 | ||||||||
\(365\) | 6.73993e6 | 2.64803 | ||||||||
\(366\) | 1.71739e6 | − | 1.69835e6i | 0.670140 | − | 0.662710i | ||||
\(367\) | −314950. | −0.122061 | −0.0610304 | − | 0.998136i | \(-0.519439\pi\) | ||||
−0.0610304 | + | 0.998136i | \(0.519439\pi\) | |||||||
\(368\) | 4.12568e6i | 1.58809i | ||||||||
\(369\) | 23960.9 | − | 2.14931e6i | 0.00916086 | − | 0.821739i | ||||
\(370\) | 3.24685e6i | 1.23298i | ||||||||
\(371\) | 113243. | 0.0427148 | ||||||||
\(372\) | 165711. | + | 167569.i | 0.0620861 | + | 0.0627821i | ||||
\(373\) | − | 2.27086e6i | − | 0.845121i | −0.906335 | − | 0.422561i | \(-0.861131\pi\) | ||
0.906335 | − | 0.422561i | \(-0.138869\pi\) | |||||||
\(374\) | −4.19436e6 | − | 456212.i | −1.55055 | − | 0.168651i | ||||
\(375\) | 1.55583e6 | − | 1.53858e6i | 0.571326 | − | 0.564992i | ||||
\(376\) | − | 3.50942e6i | − | 1.28017i | ||||||
\(377\) | 1.86746e6i | 0.676704i | ||||||||
\(378\) | 3.36180e6 | + | 3.47615e6i | 1.21016 | + | 1.25132i | ||||
\(379\) | 3.88525e6 | 1.38938 | 0.694691 | − | 0.719309i | \(-0.255541\pi\) | ||||
0.694691 | + | 0.719309i | \(0.255541\pi\) | |||||||
\(380\) | −5.24099e6 | −1.86189 | ||||||||
\(381\) | 1.67850e6 | − | 1.65989e6i | 0.592392 | − | 0.585825i | ||||
\(382\) | 5.33498e6i | 1.87057i | ||||||||
\(383\) | − | 2.31613e6i | − | 0.806801i | −0.915023 | − | 0.403401i | \(-0.867828\pi\) | ||
0.915023 | − | 0.403401i | \(-0.132172\pi\) | |||||||
\(384\) | 2.46790e6 | + | 2.49556e6i | 0.854080 | + | 0.863655i | ||||
\(385\) | 4.45754e6 | + | 484838.i | 1.53265 | + | 0.166703i | ||||
\(386\) | 5.79497e6i | 1.97962i | ||||||||
\(387\) | 1.27860e6 | + | 14254.0i | 0.433966 | + | 0.00483792i | ||||
\(388\) | −4.76031e6 | −1.60530 | ||||||||
\(389\) | − | 3.97451e6i | − | 1.33171i | −0.746081 | − | 0.665855i | \(-0.768067\pi\) | ||
0.746081 | − | 0.665855i | \(-0.231933\pi\) | |||||||
\(390\) | −5.13348e6 | − | 5.19103e6i | −1.70903 | − | 1.72819i | ||||
\(391\) | − | 2.57055e6i | − | 0.850323i | ||||||
\(392\) | 339143. | 0.111472 | ||||||||
\(393\) | −2.26163e6 | − | 2.28698e6i | −0.738652 | − | 0.746933i | ||||
\(394\) | 2.87845e6 | 0.934154 | ||||||||
\(395\) | −9.45240e6 | −3.04824 | ||||||||
\(396\) | −817201. | + | 6.80651e6i | −0.261873 | + | 2.18116i | ||||
\(397\) | −2.41352e6 | −0.768554 | −0.384277 | − | 0.923218i | \(-0.625549\pi\) | ||||
−0.384277 | + | 0.923218i | \(0.625549\pi\) | |||||||
\(398\) | 4.30243e6 | 1.36146 | ||||||||
\(399\) | −1.16523e6 | − | 1.17829e6i | −0.366420 | − | 0.370527i | ||||
\(400\) | −7.85888e6 | −2.45590 | ||||||||
\(401\) | − | 2.99915e6i | − | 0.931402i | −0.884942 | − | 0.465701i | \(-0.845802\pi\) | ||
0.884942 | − | 0.465701i | \(-0.154198\pi\) | |||||||
\(402\) | 5.91796e6 | + | 5.98430e6i | 1.82645 | + | 1.84692i | ||||
\(403\) | − | 112496.i | − | 0.0345045i | ||||||
\(404\) | −6.35116e6 | −1.93598 | ||||||||
\(405\) | −116528. | + | 5.22570e6i | −0.0353015 | + | 1.58309i | ||||
\(406\) | 4.55753e6i | 1.37219i | ||||||||
\(407\) | −1.44683e6 | − | 157368.i | −0.432943 | − | 0.0470903i | ||||
\(408\) | 4.41337e6 | + | 4.46285e6i | 1.31256 | + | 1.32728i | ||||
\(409\) | 3.05264e6i | 0.902335i | 0.892439 | + | 0.451167i | \(0.148992\pi\) | ||||
−0.892439 | + | 0.451167i | \(0.851008\pi\) | |||||||
\(410\) | 7.91943e6i | 2.32667i | ||||||||
\(411\) | −3.05528e6 | + | 3.02141e6i | −0.892168 | + | 0.882277i | ||||
\(412\) | −793736. | −0.230374 | ||||||||
\(413\) | 4.57245e6 | 1.31909 | ||||||||
\(414\) | −6.07764e6 | − | 67754.4i | −1.74275 | − | 0.0194284i | ||||
\(415\) | − | 1.80452e6i | − | 0.514330i | ||||||
\(416\) | 2.34251e6i | 0.663663i | ||||||||
\(417\) | 902091. | − | 892090.i | 0.254045 | − | 0.251228i | ||||
\(418\) | 369651. | − | 3.39853e6i | 0.103479 | − | 0.951372i | ||||
\(419\) | − | 1.96679e6i | − | 0.547296i | −0.961830 | − | 0.273648i | \(-0.911770\pi\) | ||
0.961830 | − | 0.273648i | \(-0.0882304\pi\) | |||||||
\(420\) | −8.60926e6 | − | 8.70577e6i | −2.38146 | − | 2.40815i | ||||
\(421\) | 3.03122e6 | 0.833514 | 0.416757 | − | 0.909018i | \(-0.363167\pi\) | ||||
0.416757 | + | 0.909018i | \(0.363167\pi\) | |||||||
\(422\) | 1.22108e6i | 0.333781i | ||||||||
\(423\) | 2.20142e6 | + | 24541.7i | 0.598207 | + | 0.00666890i | ||||
\(424\) | − | 347534.i | − | 0.0938821i | ||||||
\(425\) | 4.89657e6 | 1.31498 | ||||||||
\(426\) | 3.77725e6 | − | 3.73538e6i | 1.00844 | − | 0.997265i | ||||
\(427\) | −1.93360e6 | −0.513212 | ||||||||
\(428\) | 1.32049e7 | 3.48439 | ||||||||
\(429\) | 2.56198e6 | − | 2.03593e6i | 0.672098 | − | 0.534096i | ||||
\(430\) | −4.71116e6 | −1.22873 | ||||||||
\(431\) | −1.36368e6 | −0.353605 | −0.176802 | − | 0.984246i | \(-0.556575\pi\) | ||||
−0.176802 | + | 0.984246i | \(0.556575\pi\) | |||||||
\(432\) | 4.54265e6 | − | 4.39322e6i | 1.17112 | − | 1.13259i | ||||
\(433\) | −5.36351e6 | −1.37477 | −0.687384 | − | 0.726295i | \(-0.741241\pi\) | ||||
−0.687384 | + | 0.726295i | \(0.741241\pi\) | |||||||
\(434\) | − | 274546.i | − | 0.0699666i | ||||||
\(435\) | −3.50269e6 | + | 3.46386e6i | −0.887522 | + | 0.877683i | ||||
\(436\) | 6.00208e6i | 1.51212i | ||||||||
\(437\) | 2.08282e6 | 0.521732 | ||||||||
\(438\) | 8.53581e6 | − | 8.44119e6i | 2.12598 | − | 2.10241i | ||||
\(439\) | − | 406895.i | − | 0.100768i | −0.998730 | − | 0.0503839i | \(-0.983956\pi\) | ||
0.998730 | − | 0.0503839i | \(-0.0160445\pi\) | |||||||
\(440\) | 1.48792e6 | − | 1.36798e7i | 0.366395 | − | 3.36859i | ||||
\(441\) | −2371.66 | + | 212740.i | −0.000580705 | + | 0.0520898i | ||||
\(442\) | − | 5.49950e6i | − | 1.33896i | ||||||
\(443\) | − | 2.29937e6i | − | 0.556673i | −0.960484 | − | 0.278337i | \(-0.910217\pi\) | ||
0.960484 | − | 0.278337i | \(-0.0897831\pi\) | |||||||
\(444\) | 2.79439e6 | + | 2.82571e6i | 0.672712 | + | 0.680253i | ||||
\(445\) | 1.04904e6 | 0.251126 | ||||||||
\(446\) | 3.10844e6 | 0.739954 | ||||||||
\(447\) | 667854. | + | 675341.i | 0.158093 | + | 0.159865i | ||||
\(448\) | − | 1.02145e6i | − | 0.240447i | ||||||
\(449\) | 6.52698e6i | 1.52791i | 0.645272 | + | 0.763953i | \(0.276744\pi\) | ||||
−0.645272 | + | 0.763953i | \(0.723256\pi\) | |||||||
\(450\) | 129064. | − | 1.15771e7i | 0.0300450 | − | 2.69507i | ||||
\(451\) | −3.52897e6 | − | 383839.i | −0.816971 | − | 0.0888603i | ||||
\(452\) | − | 5.10488e6i | − | 1.17527i | ||||||
\(453\) | −4.85606e6 | + | 4.80222e6i | −1.11183 | + | 1.09950i | ||||
\(454\) | −4.63421e6 | −1.05520 | ||||||||
\(455\) | 5.84457e6i | 1.32350i | ||||||||
\(456\) | −3.61607e6 | + | 3.57598e6i | −0.814376 | + | 0.805348i | ||||
\(457\) | 7.61992e6i | 1.70671i | 0.521330 | + | 0.853355i | \(0.325436\pi\) | ||||
−0.521330 | + | 0.853355i | \(0.674564\pi\) | |||||||
\(458\) | 2.49351e6 | 0.555453 | ||||||||
\(459\) | −2.83035e6 | + | 2.73725e6i | −0.627060 | + | 0.606432i | ||||
\(460\) | 1.53888e7 | 3.39087 | ||||||||
\(461\) | −1.84657e6 | −0.404682 | −0.202341 | − | 0.979315i | \(-0.564855\pi\) | ||||
−0.202341 | + | 0.979315i | \(0.564855\pi\) | |||||||
\(462\) | 6.25249e6 | − | 4.96867e6i | 1.36285 | − | 1.08302i | ||||
\(463\) | 8.90164e6 | 1.92982 | 0.964912 | − | 0.262573i | \(-0.0845711\pi\) | ||||
0.964912 | + | 0.262573i | \(0.0845711\pi\) | |||||||
\(464\) | 5.95581e6 | 1.28424 | ||||||||
\(465\) | 211003. | − | 208664.i | 0.0452539 | − | 0.0447522i | ||||
\(466\) | −6.06120e6 | −1.29299 | ||||||||
\(467\) | 3.83609e6i | 0.813947i | 0.913440 | + | 0.406974i | \(0.133416\pi\) | ||||
−0.913440 | + | 0.406974i | \(0.866584\pi\) | |||||||
\(468\) | −8.93528e6 | − | 99611.9i | −1.88579 | − | 0.0210231i | ||||
\(469\) | − | 6.73770e6i | − | 1.41442i | ||||||
\(470\) | −8.11142e6 | −1.69376 | ||||||||
\(471\) | −3.78451e6 | − | 3.82693e6i | −0.786063 | − | 0.794875i | ||||
\(472\) | − | 1.40324e7i | − | 2.89920i | ||||||
\(473\) | 228340. | − | 2.09933e6i | 0.0469278 | − | 0.431448i | ||||
\(474\) | −1.19710e7 | + | 1.18383e7i | −2.44729 | + | 2.42016i | ||||
\(475\) | 3.96750e6i | 0.806831i | ||||||||
\(476\) | − | 9.22309e6i | − | 1.86577i | ||||||
\(477\) | 218004. | + | 2430.34i | 0.0438700 | + | 0.000489070i | ||||
\(478\) | −3.61938e6 | −0.724544 | ||||||||
\(479\) | 4.28323e6 | 0.852968 | 0.426484 | − | 0.904495i | \(-0.359752\pi\) | ||||
0.426484 | + | 0.904495i | \(0.359752\pi\) | |||||||
\(480\) | −4.39371e6 | + | 4.34500e6i | −0.870418 | + | 0.860769i | ||||
\(481\) | − | 1.89703e6i | − | 0.373861i | ||||||
\(482\) | − | 5.77150e6i | − | 1.13154i | ||||||
\(483\) | 3.42140e6 | + | 3.45975e6i | 0.667323 | + | 0.674803i | ||||
\(484\) | 1.10569e7 | + | 2.43406e6i | 2.14545 | + | 0.472300i | ||||
\(485\) | 5.99419e6i | 1.15711i | ||||||||
\(486\) | 6.39716e6 | + | 6.76405e6i | 1.22856 | + | 1.29902i | ||||
\(487\) | −7.16028e6 | −1.36807 | −0.684034 | − | 0.729450i | \(-0.739776\pi\) | ||||
−0.684034 | + | 0.729450i | \(0.739776\pi\) | |||||||
\(488\) | 5.93405e6i | 1.12798i | ||||||||
\(489\) | −722303. | − | 730400.i | −0.136599 | − | 0.138130i | ||||
\(490\) | − | 783869.i | − | 0.147487i | ||||||
\(491\) | −2.57405e6 | −0.481851 | −0.240925 | − | 0.970544i | \(-0.577451\pi\) | ||||
−0.240925 | + | 0.970544i | \(0.577451\pi\) | |||||||
\(492\) | 6.81583e6 | + | 6.89223e6i | 1.26942 | + | 1.28365i | ||||
\(493\) | −3.71083e6 | −0.687629 | ||||||||
\(494\) | 4.45603e6 | 0.821544 | ||||||||
\(495\) | 8.57077e6 | + | 1.02902e6i | 1.57220 | + | 0.188761i | ||||
\(496\) | −358779. | −0.0654821 | ||||||||
\(497\) | −4.25280e6 | −0.772296 | ||||||||
\(498\) | −2.26001e6 | − | 2.28534e6i | −0.408354 | − | 0.412932i | ||||
\(499\) | 3.30406e6 | 0.594014 | 0.297007 | − | 0.954875i | \(-0.404012\pi\) | ||||
0.297007 | + | 0.954875i | \(0.404012\pi\) | |||||||
\(500\) | 9.86759e6i | 1.76517i | ||||||||
\(501\) | −7.51716e6 | − | 7.60143e6i | −1.33801 | − | 1.35301i | ||||
\(502\) | − | 8.33035e6i | − | 1.47538i | ||||||
\(503\) | −934368. | −0.164664 | −0.0823318 | − | 0.996605i | \(-0.526237\pi\) | ||||
−0.0823318 | + | 0.996605i | \(0.526237\pi\) | |||||||
\(504\) | −1.18801e7 | − | 132441.i | −2.08326 | − | 0.0232245i | ||||
\(505\) | 7.99739e6i | 1.39547i | ||||||||
\(506\) | −1.08539e6 | + | 9.97892e6i | −0.188455 | + | 1.73264i | ||||
\(507\) | −1.07045e6 | − | 1.08245e6i | −0.184947 | − | 0.187020i | ||||
\(508\) | 1.06456e7i | 1.83026i | ||||||||
\(509\) | − | 2.42079e6i | − | 0.414155i | −0.978325 | − | 0.207077i | \(-0.933605\pi\) | ||
0.978325 | − | 0.207077i | \(-0.0663952\pi\) | |||||||
\(510\) | 1.03151e7 | − | 1.02007e7i | 1.75609 | − | 1.73663i | ||||
\(511\) | −9.61045e6 | −1.62814 | ||||||||
\(512\) | −1.32085e7 | −2.22678 | ||||||||
\(513\) | −2.21788e6 | − | 2.29332e6i | −0.372088 | − | 0.384744i | ||||
\(514\) | 1.68350e7i | 2.81065i | ||||||||
\(515\) | 999474.i | 0.166056i | ||||||||
\(516\) | −4.10009e6 | + | 4.05464e6i | −0.677906 | + | 0.670390i | ||||
\(517\) | 393144. | − | 3.61452e6i | 0.0646883 | − | 0.594737i | ||||
\(518\) | − | 4.62967e6i | − | 0.758099i | ||||||
\(519\) | −3.63500e6 | − | 3.67575e6i | −0.592361 | − | 0.599002i | ||||
\(520\) | 1.79365e7 | 2.90890 | ||||||||
\(521\) | − | 5.66823e6i | − | 0.914858i | −0.889246 | − | 0.457429i | \(-0.848770\pi\) | ||
0.889246 | − | 0.457429i | \(-0.151230\pi\) | |||||||
\(522\) | −97810.0 | + | 8.77366e6i | −0.0157111 | + | 1.40930i | ||||
\(523\) | 7.10021e6i | 1.13506i | 0.823354 | + | 0.567528i | \(0.192100\pi\) | ||||
−0.823354 | + | 0.567528i | \(0.807900\pi\) | |||||||
\(524\) | 1.45048e7 | 2.30772 | ||||||||
\(525\) | −6.59039e6 | + | 6.51733e6i | −1.04355 | + | 1.03198i | ||||
\(526\) | 6.19384e6 | 0.976102 | ||||||||
\(527\) | 223541. | 0.0350615 | ||||||||
\(528\) | −6.49309e6 | − | 8.17080e6i | −1.01360 | − | 1.27550i | ||||
\(529\) | 320681. | 0.0498234 | ||||||||
\(530\) | −803264. | −0.124213 | ||||||||
\(531\) | 8.80238e6 | + | 98130.2i | 1.35476 | + | 0.0151031i | ||||
\(532\) | 7.47311e6 | 1.14478 | ||||||||
\(533\) | − | 4.62706e6i | − | 0.705484i | ||||||
\(534\) | 1.32856e6 | − | 1.31383e6i | 0.201618 | − | 0.199383i | ||||
\(535\) | − | 1.66277e7i | − | 2.51158i | ||||||
\(536\) | −2.06774e7 | −3.10874 | ||||||||
\(537\) | −5.56914e6 | + | 5.50740e6i | −0.833398 | + | 0.824159i | ||||
\(538\) | − | 6.70177e6i | − | 0.998237i | ||||||
\(539\) | 349299. | + | 37992.6i | 0.0517876 | + | 0.00563283i | ||||
\(540\) | −1.63868e7 | − | 1.69442e7i | −2.41829 | − | 2.50055i | ||||
\(541\) | − | 4.83518e6i | − | 0.710263i | −0.934816 | − | 0.355132i | \(-0.884436\pi\) | ||
0.934816 | − | 0.355132i | \(-0.115564\pi\) | |||||||
\(542\) | 1.02366e7i | 1.49678i | ||||||||
\(543\) | 8.93826e6 | + | 9.03846e6i | 1.30093 | + | 1.31551i | ||||
\(544\) | −4.65479e6 | −0.674378 | ||||||||
\(545\) | 7.55783e6 | 1.08995 | ||||||||
\(546\) | 7.31982e6 | + | 7.40188e6i | 1.05080 | + | 1.06258i | ||||
\(547\) | 5.54075e6i | 0.791773i | 0.918300 | + | 0.395886i | \(0.129563\pi\) | ||||
−0.918300 | + | 0.395886i | \(0.870437\pi\) | |||||||
\(548\) | − | 1.93776e7i | − | 2.75644i | ||||||
\(549\) | −3.72236e6 | − | 41497.4i | −0.527093 | − | 0.00587611i | ||||
\(550\) | −1.90086e7 | − | 2.06752e6i | −2.67943 | − | 0.291436i | ||||
\(551\) | − | 3.00674e6i | − | 0.421908i | ||||||
\(552\) | 1.06177e7 | − | 1.05000e7i | 1.48314 | − | 1.46670i | ||||
\(553\) | 1.34782e7 | 1.87421 | ||||||||
\(554\) | − | 2.04624e7i | − | 2.83258i | ||||||
\(555\) | 3.55814e6 | − | 3.51870e6i | 0.490333 | − | 0.484897i | ||||
\(556\) | 5.72136e6i | 0.784896i | ||||||||
\(557\) | 7.00403e6 | 0.956555 | 0.478278 | − | 0.878209i | \(-0.341261\pi\) | ||||
0.478278 | + | 0.878209i | \(0.341261\pi\) | |||||||
\(558\) | 5892.09 | − | 528526.i | 0.000801094 | − | 0.0718590i | ||||
\(559\) | 2.75257e6 | 0.372571 | ||||||||
\(560\) | 1.86398e7 | 2.51172 | ||||||||
\(561\) | 4.04559e6 | + | 5.09091e6i | 0.542719 | + | 0.682949i | ||||
\(562\) | 8.27954e6 | 1.10577 | ||||||||
\(563\) | −7.81431e6 | −1.03901 | −0.519505 | − | 0.854468i | \(-0.673883\pi\) | ||||
−0.519505 | + | 0.854468i | \(0.673883\pi\) | |||||||
\(564\) | −7.05932e6 | + | 6.98106e6i | −0.934469 | + | 0.924110i | ||||
\(565\) | −6.42807e6 | −0.847148 | ||||||||
\(566\) | 1.75538e7i | 2.30319i | ||||||||
\(567\) | 166157. | − | 7.45131e6i | 0.0217051 | − | 0.973363i | ||||
\(568\) | 1.30515e7i | 1.69742i | ||||||||
\(569\) | 1.22848e7 | 1.59069 | 0.795347 | − | 0.606154i | \(-0.207288\pi\) | ||||
0.795347 | + | 0.606154i | \(0.207288\pi\) | |||||||
\(570\) | 8.26526e6 | + | 8.35792e6i | 1.06554 | + | 1.07748i | ||||
\(571\) | 1.28754e7i | 1.65262i | 0.563218 | + | 0.826308i | \(0.309563\pi\) | ||||
−0.563218 | + | 0.826308i | \(0.690437\pi\) | |||||||
\(572\) | −1.59572e6 | + | 1.46709e7i | −0.203924 | + | 1.87485i | ||||
\(573\) | 5.84647e6 | − | 5.78166e6i | 0.743887 | − | 0.735641i | ||||
\(574\) | − | 1.12923e7i | − | 1.43055i | ||||||
\(575\) | − | 1.16496e7i | − | 1.46940i | ||||||
\(576\) | 21921.4 | − | 1.96638e6i | 0.00275304 | − | 0.246951i | ||||
\(577\) | −9.45884e6 | −1.18276 | −0.591382 | − | 0.806391i | \(-0.701418\pi\) | ||||
−0.591382 | + | 0.806391i | \(0.701418\pi\) | |||||||
\(578\) | −3.43276e6 | −0.427389 | ||||||||
\(579\) | 6.35056e6 | − | 6.28016e6i | 0.787256 | − | 0.778528i | ||||
\(580\) | − | 2.22153e7i | − | 2.74209i | ||||||
\(581\) | 2.57306e6i | 0.316235i | ||||||||
\(582\) | 7.50722e6 | + | 7.59138e6i | 0.918696 | + | 0.928994i | ||||
\(583\) | 38932.6 | − | 357942.i | 0.00474397 | − | 0.0436155i | ||||
\(584\) | 2.94936e7i | 3.57846i | ||||||||
\(585\) | −125431. | + | 1.12513e7i | −0.0151536 | + | 1.35930i | ||||
\(586\) | −2.64956e7 | −3.18735 | ||||||||
\(587\) | 1.02802e7i | 1.23142i | 0.787972 | + | 0.615711i | \(0.211131\pi\) | ||||
−0.787972 | + | 0.615711i | \(0.788869\pi\) | |||||||
\(588\) | −674634. | − | 682197.i | −0.0804683 | − | 0.0813704i | ||||
\(589\) | 181127.i | 0.0215127i | ||||||||
\(590\) | −3.24335e7 | −3.83587 | ||||||||
\(591\) | −3.11946e6 | − | 3.15443e6i | −0.367376 | − | 0.371494i | ||||
\(592\) | −6.05009e6 | −0.709508 | ||||||||
\(593\) | −1.25800e7 | −1.46907 | −0.734536 | − | 0.678569i | \(-0.762600\pi\) | ||||
−0.734536 | + | 0.678569i | \(0.762600\pi\) | |||||||
\(594\) | 1.21433e7 | − | 9.43095e6i | 1.41211 | − | 1.09670i | ||||
\(595\) | −1.16137e7 | −1.34487 | ||||||||
\(596\) | −4.28324e6 | −0.493920 | ||||||||
\(597\) | −4.66266e6 | − | 4.71493e6i | −0.535424 | − | 0.541427i | ||||
\(598\) | −1.30840e7 | −1.49619 | ||||||||
\(599\) | − | 6.21604e6i | − | 0.707858i | −0.935272 | − | 0.353929i | \(-0.884845\pi\) | ||
0.935272 | − | 0.353929i | \(-0.115155\pi\) | |||||||
\(600\) | 2.00011e7 | + | 2.02253e7i | 2.26817 | + | 2.29360i | ||||
\(601\) | 1.28321e7i | 1.44914i | 0.689199 | + | 0.724572i | \(0.257962\pi\) | ||||
−0.689199 | + | 0.724572i | \(0.742038\pi\) | |||||||
\(602\) | 6.71763e6 | 0.755483 | ||||||||
\(603\) | 144599. | − | 1.29707e7i | 0.0161947 | − | 1.45268i | ||||
\(604\) | − | 3.07987e7i | − | 3.43511i | ||||||
\(605\) | 3.06497e6 | − | 1.39228e7i | 0.340438 | − | 1.54646i | ||||
\(606\) | 1.00161e7 | + | 1.01283e7i | 1.10794 | + | 1.12036i | ||||
\(607\) | − | 3.31925e6i | − | 0.365652i | −0.983145 | − | 0.182826i | \(-0.941476\pi\) | ||
0.983145 | − | 0.182826i | \(-0.0585245\pi\) | |||||||
\(608\) | − | 3.77160e6i | − | 0.413777i | ||||||
\(609\) | 4.99448e6 | − | 4.93912e6i | 0.545692 | − | 0.539642i | ||||
\(610\) | 1.37155e7 | 1.49241 | ||||||||
\(611\) | 4.73923e6 | 0.513576 | ||||||||
\(612\) | 197939. | − | 1.77553e7i | 0.0213625 | − | 1.91624i | ||||
\(613\) | − | 5.25789e6i | − | 0.565145i | −0.959246 | − | 0.282573i | \(-0.908812\pi\) | ||
0.959246 | − | 0.282573i | \(-0.0911878\pi\) | |||||||
\(614\) | − | 1.04620e6i | − | 0.111994i | ||||||
\(615\) | 8.67871e6 | − | 8.58250e6i | 0.925268 | − | 0.915010i | ||||
\(616\) | −2.12163e6 | + | 1.95060e7i | −0.225277 | + | 2.07117i | ||||
\(617\) | 8.52105e6i | 0.901115i | 0.892748 | + | 0.450557i | \(0.148775\pi\) | ||||
−0.892748 | + | 0.450557i | \(0.851225\pi\) | |||||||
\(618\) | 1.25176e6 | + | 1.26579e6i | 0.131840 | + | 0.133318i | ||||
\(619\) | 1.37799e7 | 1.44550 | 0.722751 | − | 0.691108i | \(-0.242877\pi\) | ||||
0.722751 | + | 0.691108i | \(0.242877\pi\) | |||||||
\(620\) | 1.33825e6i | 0.139816i | ||||||||
\(621\) | 6.51225e6 | + | 6.73377e6i | 0.677645 | + | 0.700695i | ||||
\(622\) | − | 1.13641e7i | − | 1.17776i | ||||||
\(623\) | −1.49582e6 | −0.154405 | ||||||||
\(624\) | 9.67283e6 | − | 9.56559e6i | 0.994471 | − | 0.983446i | ||||
\(625\) | −2.29572e6 | −0.235082 | ||||||||
\(626\) | −2.02036e7 | −2.06059 | ||||||||
\(627\) | −4.12497e6 | + | 3.27799e6i | −0.419036 | + | 0.332995i | ||||
\(628\) | 2.42717e7 | 2.45584 | ||||||||
\(629\) | 3.76958e6 | 0.379897 | ||||||||
\(630\) | −306114. | + | 2.74588e7i | −0.0307278 | + | 2.75632i | ||||
\(631\) | −2.97282e6 | −0.297231 | −0.148616 | − | 0.988895i | \(-0.547482\pi\) | ||||
−0.148616 | + | 0.988895i | \(0.547482\pi\) | |||||||
\(632\) | − | 4.13633e7i | − | 4.11929i | ||||||
\(633\) | 1.33815e6 | − | 1.32331e6i | 0.132738 | − | 0.131266i | ||||
\(634\) | 2.58916e7i | 2.55820i | ||||||||
\(635\) | 1.34050e7 | 1.31926 | ||||||||
\(636\) | −699076. | + | 691326.i | −0.0685301 | + | 0.0677704i | ||||
\(637\) | 457989.i | 0.0447205i | ||||||||
\(638\) | 1.44055e7 | + | 1.56686e6i | 1.40113 | + | 0.152398i | ||||
\(639\) | −8.18702e6 | − | 91270.1i | −0.793184 | − | 0.00884253i | ||||
\(640\) | 1.99302e7i | 1.92337i | ||||||||
\(641\) | 1.03887e7i | 0.998658i | 0.866413 | + | 0.499329i | \(0.166420\pi\) | ||||
−0.866413 | + | 0.499329i | \(0.833580\pi\) | |||||||
\(642\) | −2.08248e7 | − | 2.10582e7i | −1.99408 | − | 2.01644i | ||||
\(643\) | 2.23793e6 | 0.213462 | 0.106731 | − | 0.994288i | \(-0.465962\pi\) | ||||
0.106731 | + | 0.994288i | \(0.465962\pi\) | |||||||
\(644\) | −2.19429e7 | −2.08487 | ||||||||
\(645\) | 5.10561e6 | + | 5.16284e6i | 0.483223 | + | 0.488641i | ||||
\(646\) | 8.85457e6i | 0.834807i | ||||||||
\(647\) | 9.54481e6i | 0.896409i | 0.893931 | + | 0.448205i | \(0.147936\pi\) | ||||
−0.893931 | + | 0.448205i | \(0.852064\pi\) | |||||||
\(648\) | −2.28674e7 | − | 509922.i | −2.13934 | − | 0.0477053i | ||||
\(649\) | 1.57199e6 | − | 1.44527e7i | 0.146500 | − | 1.34690i | ||||
\(650\) | − | 2.49233e7i | − | 2.31378i | ||||||
\(651\) | −300868. | + | 297533.i | −0.0278243 | + | 0.0275158i | ||||
\(652\) | 4.63244e6 | 0.426767 | ||||||||
\(653\) | 1.60519e7i | 1.47314i | 0.676360 | + | 0.736571i | \(0.263556\pi\) | ||||
−0.676360 | + | 0.736571i | \(0.736444\pi\) | |||||||
\(654\) | 9.57165e6 | − | 9.46554e6i | 0.875069 | − | 0.865368i | ||||
\(655\) | − | 1.82645e7i | − | 1.66343i | ||||||
\(656\) | −1.47568e7 | −1.33886 | ||||||||
\(657\) | −1.85010e7 | − | 206252.i | −1.67217 | − | 0.0186416i | ||||
\(658\) | 1.15661e7 | 1.04141 | ||||||||
\(659\) | −1.21513e7 | −1.08996 | −0.544979 | − | 0.838450i | \(-0.683462\pi\) | ||||
−0.544979 | + | 0.838450i | \(0.683462\pi\) | |||||||
\(660\) | −3.04772e7 | + | 2.42193e7i | −2.72342 | + | 2.16422i | ||||
\(661\) | 8.00011e6 | 0.712184 | 0.356092 | − | 0.934451i | \(-0.384109\pi\) | ||||
0.356092 | + | 0.934451i | \(0.384109\pi\) | |||||||
\(662\) | −5.43492e6 | −0.482001 | ||||||||
\(663\) | −6.02677e6 | + | 5.95995e6i | −0.532477 | + | 0.526574i | ||||
\(664\) | 7.89651e6 | 0.695048 | ||||||||
\(665\) | − | 9.41015e6i | − | 0.825168i | ||||||
\(666\) | 99358.3 | − | 8.91255e6i | 0.00867998 | − | 0.778603i | ||||
\(667\) | 8.82854e6i | 0.768377i | ||||||||
\(668\) | 4.82108e7 | 4.18026 | ||||||||
\(669\) | −3.36870e6 | − | 3.40646e6i | −0.291002 | − | 0.294265i | ||||
\(670\) | 4.77923e7i | 4.11311i | ||||||||
\(671\) | −664764. | + | 6.11176e6i | −0.0569982 | + | 0.524035i | ||||
\(672\) | 6.26498e6 | − | 6.19552e6i | 0.535176 | − | 0.529243i | ||||
\(673\) | − | 7.19089e6i | − | 0.611991i | −0.952033 | − | 0.305995i | \(-0.901011\pi\) | ||
0.952033 | − | 0.305995i | \(-0.0989892\pi\) | |||||||
\(674\) | 1.58584e6i | 0.134465i | ||||||||
\(675\) | −1.28270e7 | + | 1.24050e7i | −1.08359 | + | 1.04794i | ||||
\(676\) | 6.86528e6 | 0.577818 | ||||||||
\(677\) | 2.50078e6 | 0.209703 | 0.104851 | − | 0.994488i | \(-0.466563\pi\) | ||||
0.104851 | + | 0.994488i | \(0.466563\pi\) | |||||||
\(678\) | −8.14086e6 | + | 8.05061e6i | −0.680136 | + | 0.672596i | ||||
\(679\) | − | 8.54711e6i | − | 0.711450i | ||||||
\(680\) | 3.56415e7i | 2.95586i | ||||||||
\(681\) | 5.02222e6 | + | 5.07852e6i | 0.414981 | + | 0.419633i | ||||
\(682\) | −867791. | − | 94387.8i | −0.0714421 | − | 0.00777061i | ||||
\(683\) | − | 1.69294e6i | − | 0.138864i | −0.997587 | − | 0.0694319i | \(-0.977881\pi\) | ||
0.997587 | − | 0.0694319i | \(-0.0221187\pi\) | |||||||
\(684\) | 1.43864e7 | + | 160382.i | 1.17574 | + | 0.0131074i | ||||
\(685\) | −2.44003e7 | −1.98687 | ||||||||
\(686\) | 2.25739e7i | 1.83145i | ||||||||
\(687\) | −2.70228e6 | − | 2.73258e6i | −0.218443 | − | 0.220892i | ||||
\(688\) | − | 8.77864e6i | − | 0.707060i | ||||||
\(689\) | 469320. | 0.0376636 | ||||||||
\(690\) | −2.42689e7 | − | 2.45409e7i | −1.94056 | − | 1.96231i | ||||
\(691\) | −8.84676e6 | −0.704838 | −0.352419 | − | 0.935842i | \(-0.614641\pi\) | ||||
−0.352419 | + | 0.935842i | \(0.614641\pi\) | |||||||
\(692\) | 2.33128e7 | 1.85067 | ||||||||
\(693\) | −1.22210e7 | − | 1.46728e6i | −0.966663 | − | 0.116059i | ||||
\(694\) | −1.92884e7 | −1.52019 | ||||||||
\(695\) | 7.20434e6 | 0.565760 | ||||||||
\(696\) | −1.51577e7 | − | 1.53276e7i | −1.18607 | − | 1.19937i | ||||
\(697\) | 9.19442e6 | 0.716874 | ||||||||
\(698\) | − | 4.49348e6i | − | 0.349095i | ||||||
\(699\) | 6.56869e6 | + | 6.64232e6i | 0.508494 | + | 0.514194i | ||||
\(700\) | − | 4.17984e7i | − | 3.22415i | ||||||
\(701\) | −1.16656e6 | −0.0896631 | −0.0448315 | − | 0.998995i | \(-0.514275\pi\) | ||||
−0.0448315 | + | 0.998995i | \(0.514275\pi\) | |||||||
\(702\) | 1.39325e7 | + | 1.44064e7i | 1.06705 | + | 1.10335i | ||||
\(703\) | 3.05434e6i | 0.233093i | ||||||||
\(704\) | −3.22861e6 | − | 351169.i | −0.245518 | − | 0.0267045i | ||||
\(705\) | 8.79056e6 | + | 8.88911e6i | 0.666107 | + | 0.673574i | ||||
\(706\) | − | 3.44385e7i | − | 2.60035i | ||||||
\(707\) | − | 1.14035e7i | − | 0.858002i | ||||||
\(708\) | −2.82267e7 | + | 2.79138e7i | −2.11630 | + | 2.09284i | ||||
\(709\) | 9.21961e6 | 0.688806 | 0.344403 | − | 0.938822i | \(-0.388081\pi\) | ||||
0.344403 | + | 0.938822i | \(0.388081\pi\) | |||||||
\(710\) | 3.01662e7 | 2.24582 | ||||||||
\(711\) | 2.59467e7 | + | 289257.i | 1.92490 | + | 0.0214590i | ||||
\(712\) | 4.59055e6i | 0.339363i | ||||||||
\(713\) | − | 531833.i | − | 0.0391788i | ||||||
\(714\) | −1.47083e7 | + | 1.45452e7i | −1.07973 | + | 1.06776i | ||||
\(715\) | 1.84736e7 | + | 2.00934e6i | 1.35141 | + | 0.146990i | ||||
\(716\) | − | 3.53213e7i | − | 2.57486i | ||||||
\(717\) | 3.92242e6 | + | 3.96639e6i | 0.284942 | + | 0.288136i | ||||
\(718\) | 5.91956e6 | 0.428527 | ||||||||
\(719\) | − | 2.18224e7i | − | 1.57427i | −0.616779 | − | 0.787136i | \(-0.711563\pi\) | ||
0.616779 | − | 0.787136i | \(-0.288437\pi\) | |||||||
\(720\) | 3.58833e7 | + | 400032.i | 2.57965 | + | 0.0287583i | ||||
\(721\) | − | 1.42515e6i | − | 0.102099i | ||||||
\(722\) | 1.78694e7 | 1.27575 | ||||||||
\(723\) | −6.32485e6 | + | 6.25473e6i | −0.449992 | + | 0.445003i | ||||
\(724\) | −5.73249e7 | −4.06440 | ||||||||
\(725\) | −1.68172e7 | −1.18826 | ||||||||
\(726\) | −1.35555e7 | − | 2.14712e7i | −0.954495 | − | 1.51187i | ||||
\(727\) | −741663. | −0.0520440 | −0.0260220 | − | 0.999661i | \(-0.508284\pi\) | ||||
−0.0260220 | + | 0.999661i | \(0.508284\pi\) | |||||||
\(728\) | −2.55756e7 | −1.78853 | ||||||||
\(729\) | 479782. | − | 1.43409e7i | 0.0334368 | − | 0.999441i | ||||
\(730\) | 6.81693e7 | 4.73459 | ||||||||
\(731\) | 5.46963e6i | 0.378586i | ||||||||
\(732\) | 1.19365e7 | − | 1.18042e7i | 0.823380 | − | 0.814252i | ||||
\(733\) | 6.80074e6i | 0.467516i | 0.972295 | + | 0.233758i | \(0.0751023\pi\) | ||||
−0.972295 | + | 0.233758i | \(0.924898\pi\) | |||||||
\(734\) | −3.18548e6 | −0.218240 | ||||||||
\(735\) | −859023. | + | 849500.i | −0.0586525 | + | 0.0580023i | ||||
\(736\) | 1.10743e7i | 0.753570i | ||||||||
\(737\) | −2.12967e7 | − | 2.31640e6i | −1.44425 | − | 0.157088i | ||||
\(738\) | 242346. | − | 2.17387e7i | 0.0163793 | − | 1.46924i | ||||
\(739\) | 9.15287e6i | 0.616519i | 0.951302 | + | 0.308259i | \(0.0997465\pi\) | ||||
−0.951302 | + | 0.308259i | \(0.900254\pi\) | |||||||
\(740\) | 2.25669e7i | 1.51493i | ||||||||
\(741\) | −4.82912e6 | − | 4.88325e6i | −0.323089 | − | 0.326711i | ||||
\(742\) | 1.14537e6 | 0.0763725 | ||||||||
\(743\) | 1.25723e7 | 0.835490 | 0.417745 | − | 0.908564i | \(-0.362820\pi\) | ||||
0.417745 | + | 0.908564i | \(0.362820\pi\) | |||||||
\(744\) | 913103. | + | 923339.i | 0.0604766 | + | 0.0611546i | ||||
\(745\) | 5.39346e6i | 0.356022i | ||||||||
\(746\) | − | 2.29681e7i | − | 1.51105i | ||||||
\(747\) | −55221.0 | + | 4.95338e6i | −0.00362078 | + | 0.324788i | ||||
\(748\) | −2.91525e7 | − | 3.17086e6i | −1.90512 | − | 0.207216i | ||||
\(749\) | 2.37094e7i | 1.54424i | ||||||||
\(750\) | 1.57361e7 | − | 1.55616e7i | 1.02151 | − | 1.01019i | ||||
\(751\) | 1.79363e7 | 1.16047 | 0.580235 | − | 0.814449i | \(-0.302961\pi\) | ||||
0.580235 | + | 0.814449i | \(0.302961\pi\) | |||||||
\(752\) | − | 1.51146e7i | − | 0.974657i | ||||||
\(753\) | −9.12903e6 | + | 9.02783e6i | −0.586729 | + | 0.580224i | ||||
\(754\) | 1.88880e7i | 1.20992i | ||||||||
\(755\) | −3.87818e7 | −2.47606 | ||||||||
\(756\) | 2.33659e7 | + | 2.41607e7i | 1.48688 | + | 1.53746i | ||||
\(757\) | 1.91439e7 | 1.21420 | 0.607099 | − | 0.794626i | \(-0.292333\pi\) | ||||
0.607099 | + | 0.794626i | \(0.292333\pi\) | |||||||
\(758\) | 3.92965e7 | 2.48417 | ||||||||
\(759\) | 1.21119e7 | − | 9.62498e6i | 0.763148 | − | 0.606450i | ||||
\(760\) | −2.88789e7 | −1.81362 | ||||||||
\(761\) | −5.64221e6 | −0.353173 | −0.176586 | − | 0.984285i | \(-0.556506\pi\) | ||||
−0.176586 | + | 0.984285i | \(0.556506\pi\) | |||||||
\(762\) | 1.69768e7 | − | 1.67886e7i | 1.05918 | − | 1.04744i | ||||
\(763\) | −1.07767e7 | −0.670153 | ||||||||
\(764\) | 3.70803e7i | 2.29831i | ||||||||
\(765\) | −2.23575e7 | − | 249245.i | −1.38124 | − | 0.0153983i | ||||
\(766\) | − | 2.34260e7i | − | 1.44253i | ||||||
\(767\) | 1.89498e7 | 1.16310 | ||||||||
\(768\) | 2.21224e7 | + | 2.23704e7i | 1.35341 | + | 1.36858i | ||||
\(769\) | 5.21462e6i | 0.317985i | 0.987280 | + | 0.158992i | \(0.0508246\pi\) | ||||
−0.987280 | + | 0.158992i | \(0.949175\pi\) | |||||||
\(770\) | 4.50847e7 | + | 4.90377e6i | 2.74033 | + | 0.298060i | ||||
\(771\) | 1.84491e7 | − | 1.82446e7i | 1.11774 | − | 1.10535i | ||||
\(772\) | 4.02774e7i | 2.43230i | ||||||||
\(773\) | − | 6.01544e6i | − | 0.362092i | −0.983475 | − | 0.181046i | \(-0.942052\pi\) | ||
0.983475 | − | 0.181046i | \(-0.0579483\pi\) | |||||||
\(774\) | 1.29320e7 | + | 144168.i | 0.775916 | + | 0.00865003i | ||||
\(775\) | 1.01307e6 | 0.0605880 |