Newspace parameters
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} + \cdots)\) |
Defining polynomial: | \(x^{14} + 23 x^{12} + 201 x^{10} + 835 x^{8} + 1695 x^{6} + 1565 x^{4} + 511 x^{2} + 49\) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 2^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 298.6 | ||
Root | \(-0.584778i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 429.298 |
Dual form | 429.2.b.b.298.9 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.584778i | − | 0.413501i | −0.978394 | − | 0.206750i | \(-0.933711\pi\) | ||
0.978394 | − | 0.206750i | \(-0.0662888\pi\) | |||||||
\(3\) | 1.00000 | 0.577350 | ||||||||
\(4\) | 1.65803 | 0.829017 | ||||||||
\(5\) | − | 1.95350i | − | 0.873633i | −0.899551 | − | 0.436817i | \(-0.856106\pi\) | ||
0.899551 | − | 0.436817i | \(-0.143894\pi\) | |||||||
\(6\) | − | 0.584778i | − | 0.238735i | ||||||
\(7\) | − | 1.51078i | − | 0.571023i | −0.958375 | − | 0.285511i | \(-0.907837\pi\) | ||
0.958375 | − | 0.285511i | \(-0.0921634\pi\) | |||||||
\(8\) | − | 2.13914i | − | 0.756300i | ||||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −1.14237 | −0.361248 | ||||||||
\(11\) | − | 1.00000i | − | 0.301511i | ||||||
\(12\) | 1.65803 | 0.478633 | ||||||||
\(13\) | −3.49467 | + | 0.887280i | −0.969248 | + | 0.246087i | ||||
\(14\) | −0.883474 | −0.236118 | ||||||||
\(15\) | − | 1.95350i | − | 0.504392i | ||||||
\(16\) | 2.06515 | 0.516286 | ||||||||
\(17\) | −3.44198 | −0.834803 | −0.417401 | − | 0.908722i | \(-0.637059\pi\) | ||||
−0.417401 | + | 0.908722i | \(0.637059\pi\) | |||||||
\(18\) | − | 0.584778i | − | 0.137834i | ||||||
\(19\) | 5.09587i | 1.16907i | 0.811368 | + | 0.584536i | \(0.198724\pi\) | ||||
−0.811368 | + | 0.584536i | \(0.801276\pi\) | |||||||
\(20\) | − | 3.23897i | − | 0.724257i | ||||||
\(21\) | − | 1.51078i | − | 0.329680i | ||||||
\(22\) | −0.584778 | −0.124675 | ||||||||
\(23\) | 0.701611 | 0.146296 | 0.0731480 | − | 0.997321i | \(-0.476695\pi\) | ||||
0.0731480 | + | 0.997321i | \(0.476695\pi\) | |||||||
\(24\) | − | 2.13914i | − | 0.436650i | ||||||
\(25\) | 1.18383 | 0.236765 | ||||||||
\(26\) | 0.518862 | + | 2.04361i | 0.101757 | + | 0.400785i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | − | 2.50493i | − | 0.473388i | ||||||
\(29\) | 5.04937 | 0.937645 | 0.468822 | − | 0.883292i | \(-0.344678\pi\) | ||||
0.468822 | + | 0.883292i | \(0.344678\pi\) | |||||||
\(30\) | −1.14237 | −0.208567 | ||||||||
\(31\) | 7.26957i | 1.30565i | 0.757507 | + | 0.652827i | \(0.226417\pi\) | ||||
−0.757507 | + | 0.652827i | \(0.773583\pi\) | |||||||
\(32\) | − | 5.48593i | − | 0.969785i | ||||||
\(33\) | − | 1.00000i | − | 0.174078i | ||||||
\(34\) | 2.01280i | 0.345192i | ||||||||
\(35\) | −2.95132 | −0.498864 | ||||||||
\(36\) | 1.65803 | 0.276339 | ||||||||
\(37\) | 2.08160i | 0.342213i | 0.985253 | + | 0.171106i | \(0.0547342\pi\) | ||||
−0.985253 | + | 0.171106i | \(0.945266\pi\) | |||||||
\(38\) | 2.97995 | 0.483413 | ||||||||
\(39\) | −3.49467 | + | 0.887280i | −0.559595 | + | 0.142079i | ||||
\(40\) | −4.17882 | −0.660729 | ||||||||
\(41\) | 1.03658i | 0.161886i | 0.996719 | + | 0.0809430i | \(0.0257932\pi\) | ||||
−0.996719 | + | 0.0809430i | \(0.974207\pi\) | |||||||
\(42\) | −0.883474 | −0.136323 | ||||||||
\(43\) | 5.48659 | 0.836698 | 0.418349 | − | 0.908286i | \(-0.362609\pi\) | ||||
0.418349 | + | 0.908286i | \(0.362609\pi\) | |||||||
\(44\) | − | 1.65803i | − | 0.249958i | ||||||
\(45\) | − | 1.95350i | − | 0.291211i | ||||||
\(46\) | − | 0.410287i | − | 0.0604935i | ||||||
\(47\) | − | 3.75225i | − | 0.547322i | −0.961826 | − | 0.273661i | \(-0.911765\pi\) | ||
0.961826 | − | 0.273661i | \(-0.0882347\pi\) | |||||||
\(48\) | 2.06515 | 0.298078 | ||||||||
\(49\) | 4.71753 | 0.673933 | ||||||||
\(50\) | − | 0.692276i | − | 0.0979026i | ||||||
\(51\) | −3.44198 | −0.481974 | ||||||||
\(52\) | −5.79429 | + | 1.47114i | −0.803523 | + | 0.204010i | ||||
\(53\) | −0.502747 | −0.0690575 | −0.0345288 | − | 0.999404i | \(-0.510993\pi\) | ||||
−0.0345288 | + | 0.999404i | \(0.510993\pi\) | |||||||
\(54\) | − | 0.584778i | − | 0.0795783i | ||||||
\(55\) | −1.95350 | −0.263410 | ||||||||
\(56\) | −3.23178 | −0.431865 | ||||||||
\(57\) | 5.09587i | 0.674964i | ||||||||
\(58\) | − | 2.95276i | − | 0.387717i | ||||||
\(59\) | 2.65023i | 0.345031i | 0.985007 | + | 0.172515i | \(0.0551894\pi\) | ||||
−0.985007 | + | 0.172515i | \(0.944811\pi\) | |||||||
\(60\) | − | 3.23897i | − | 0.418150i | ||||||
\(61\) | −5.38195 | −0.689088 | −0.344544 | − | 0.938770i | \(-0.611967\pi\) | ||||
−0.344544 | + | 0.938770i | \(0.611967\pi\) | |||||||
\(62\) | 4.25109 | 0.539889 | ||||||||
\(63\) | − | 1.51078i | − | 0.190341i | ||||||
\(64\) | 0.922236 | 0.115279 | ||||||||
\(65\) | 1.73330 | + | 6.82685i | 0.214990 | + | 0.846767i | ||||
\(66\) | −0.584778 | −0.0719813 | ||||||||
\(67\) | − | 8.47197i | − | 1.03502i | −0.855679 | − | 0.517508i | \(-0.826860\pi\) | ||
0.855679 | − | 0.517508i | \(-0.173140\pi\) | |||||||
\(68\) | −5.70692 | −0.692066 | ||||||||
\(69\) | 0.701611 | 0.0844640 | ||||||||
\(70\) | 1.72587i | 0.206281i | ||||||||
\(71\) | − | 2.31533i | − | 0.274779i | −0.990517 | − | 0.137390i | \(-0.956129\pi\) | ||
0.990517 | − | 0.137390i | \(-0.0438712\pi\) | |||||||
\(72\) | − | 2.13914i | − | 0.252100i | ||||||
\(73\) | − | 2.21094i | − | 0.258771i | −0.991594 | − | 0.129385i | \(-0.958700\pi\) | ||
0.991594 | − | 0.129385i | \(-0.0413004\pi\) | |||||||
\(74\) | 1.21727 | 0.141505 | ||||||||
\(75\) | 1.18383 | 0.136696 | ||||||||
\(76\) | 8.44913i | 0.969181i | ||||||||
\(77\) | −1.51078 | −0.172170 | ||||||||
\(78\) | 0.518862 | + | 2.04361i | 0.0587496 | + | 0.231393i | ||||
\(79\) | −5.54589 | −0.623961 | −0.311981 | − | 0.950088i | \(-0.600992\pi\) | ||||
−0.311981 | + | 0.950088i | \(0.600992\pi\) | |||||||
\(80\) | − | 4.03427i | − | 0.451045i | ||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 0.606168 | 0.0669400 | ||||||||
\(83\) | 14.5137i | 1.59308i | 0.604585 | + | 0.796541i | \(0.293339\pi\) | ||||
−0.604585 | + | 0.796541i | \(0.706661\pi\) | |||||||
\(84\) | − | 2.50493i | − | 0.273310i | ||||||
\(85\) | 6.72392i | 0.729311i | ||||||||
\(86\) | − | 3.20844i | − | 0.345975i | ||||||
\(87\) | 5.04937 | 0.541350 | ||||||||
\(88\) | −2.13914 | −0.228033 | ||||||||
\(89\) | 1.80966i | 0.191824i | 0.995390 | + | 0.0959119i | \(0.0305767\pi\) | ||||
−0.995390 | + | 0.0959119i | \(0.969423\pi\) | |||||||
\(90\) | −1.14237 | −0.120416 | ||||||||
\(91\) | 1.34049 | + | 5.27970i | 0.140521 | + | 0.553462i | ||||
\(92\) | 1.16330 | 0.121282 | ||||||||
\(93\) | 7.26957i | 0.753819i | ||||||||
\(94\) | −2.19424 | −0.226318 | ||||||||
\(95\) | 9.95480 | 1.02134 | ||||||||
\(96\) | − | 5.48593i | − | 0.559906i | ||||||
\(97\) | 14.5085i | 1.47312i | 0.676372 | + | 0.736560i | \(0.263551\pi\) | ||||
−0.676372 | + | 0.736560i | \(0.736449\pi\) | |||||||
\(98\) | − | 2.75871i | − | 0.278672i | ||||||
\(99\) | − | 1.00000i | − | 0.100504i | ||||||
\(100\) | 1.96282 | 0.196282 | ||||||||
\(101\) | −8.63799 | −0.859512 | −0.429756 | − | 0.902945i | \(-0.641400\pi\) | ||||
−0.429756 | + | 0.902945i | \(0.641400\pi\) | |||||||
\(102\) | 2.01280i | 0.199296i | ||||||||
\(103\) | 2.90048 | 0.285792 | 0.142896 | − | 0.989738i | \(-0.454358\pi\) | ||||
0.142896 | + | 0.989738i | \(0.454358\pi\) | |||||||
\(104\) | 1.89802 | + | 7.47559i | 0.186116 | + | 0.733042i | ||||
\(105\) | −2.95132 | −0.288019 | ||||||||
\(106\) | 0.293995i | 0.0285554i | ||||||||
\(107\) | −2.29234 | −0.221609 | −0.110805 | − | 0.993842i | \(-0.535343\pi\) | ||||
−0.110805 | + | 0.993842i | \(0.535343\pi\) | |||||||
\(108\) | 1.65803 | 0.159544 | ||||||||
\(109\) | 12.8818i | 1.23386i | 0.787019 | + | 0.616929i | \(0.211623\pi\) | ||||
−0.787019 | + | 0.616929i | \(0.788377\pi\) | |||||||
\(110\) | 1.14237i | 0.108920i | ||||||||
\(111\) | 2.08160i | 0.197577i | ||||||||
\(112\) | − | 3.11999i | − | 0.294811i | ||||||
\(113\) | −12.6273 | −1.18788 | −0.593940 | − | 0.804509i | \(-0.702428\pi\) | ||||
−0.593940 | + | 0.804509i | \(0.702428\pi\) | |||||||
\(114\) | 2.97995 | 0.279098 | ||||||||
\(115\) | − | 1.37060i | − | 0.127809i | ||||||
\(116\) | 8.37203 | 0.777324 | ||||||||
\(117\) | −3.49467 | + | 0.887280i | −0.323083 | + | 0.0820291i | ||||
\(118\) | 1.54980 | 0.142670 | ||||||||
\(119\) | 5.20009i | 0.476691i | ||||||||
\(120\) | −4.17882 | −0.381472 | ||||||||
\(121\) | −1.00000 | −0.0909091 | ||||||||
\(122\) | 3.14725i | 0.284939i | ||||||||
\(123\) | 1.03658i | 0.0934649i | ||||||||
\(124\) | 12.0532i | 1.08241i | ||||||||
\(125\) | − | 12.0801i | − | 1.08048i | ||||||
\(126\) | −0.883474 | −0.0787061 | ||||||||
\(127\) | −5.05085 | −0.448190 | −0.224095 | − | 0.974567i | \(-0.571943\pi\) | ||||
−0.224095 | + | 0.974567i | \(0.571943\pi\) | |||||||
\(128\) | − | 11.5112i | − | 1.01745i | ||||||
\(129\) | 5.48659 | 0.483068 | ||||||||
\(130\) | 3.99220 | − | 1.01360i | 0.350139 | − | 0.0888985i | ||||
\(131\) | 15.9772 | 1.39594 | 0.697968 | − | 0.716129i | \(-0.254088\pi\) | ||||
0.697968 | + | 0.716129i | \(0.254088\pi\) | |||||||
\(132\) | − | 1.65803i | − | 0.144313i | ||||||
\(133\) | 7.69876 | 0.667567 | ||||||||
\(134\) | −4.95422 | −0.427980 | ||||||||
\(135\) | − | 1.95350i | − | 0.168131i | ||||||
\(136\) | 7.36288i | 0.631361i | ||||||||
\(137\) | 17.2582i | 1.47447i | 0.675639 | + | 0.737233i | \(0.263868\pi\) | ||||
−0.675639 | + | 0.737233i | \(0.736132\pi\) | |||||||
\(138\) | − | 0.410287i | − | 0.0349260i | ||||||
\(139\) | −5.70544 | −0.483929 | −0.241965 | − | 0.970285i | \(-0.577792\pi\) | ||||
−0.241965 | + | 0.970285i | \(0.577792\pi\) | |||||||
\(140\) | −4.89339 | −0.413567 | ||||||||
\(141\) | − | 3.75225i | − | 0.315997i | ||||||
\(142\) | −1.35395 | −0.113621 | ||||||||
\(143\) | 0.887280 | + | 3.49467i | 0.0741981 | + | 0.292239i | ||||
\(144\) | 2.06515 | 0.172095 | ||||||||
\(145\) | − | 9.86396i | − | 0.819158i | ||||||
\(146\) | −1.29291 | −0.107002 | ||||||||
\(147\) | 4.71753 | 0.389095 | ||||||||
\(148\) | 3.45136i | 0.283700i | ||||||||
\(149\) | − | 0.161015i | − | 0.0131908i | −0.999978 | − | 0.00659542i | \(-0.997901\pi\) | ||
0.999978 | − | 0.00659542i | \(-0.00209940\pi\) | |||||||
\(150\) | − | 0.692276i | − | 0.0565241i | ||||||
\(151\) | − | 16.3107i | − | 1.32734i | −0.748025 | − | 0.663671i | \(-0.768997\pi\) | ||
0.748025 | − | 0.663671i | \(-0.231003\pi\) | |||||||
\(152\) | 10.9008 | 0.884170 | ||||||||
\(153\) | −3.44198 | −0.278268 | ||||||||
\(154\) | 0.883474i | 0.0711924i | ||||||||
\(155\) | 14.2011 | 1.14066 | ||||||||
\(156\) | −5.79429 | + | 1.47114i | −0.463914 | + | 0.117786i | ||||
\(157\) | −14.2192 | −1.13481 | −0.567407 | − | 0.823437i | \(-0.692053\pi\) | ||||
−0.567407 | + | 0.823437i | \(0.692053\pi\) | |||||||
\(158\) | 3.24312i | 0.258008i | ||||||||
\(159\) | −0.502747 | −0.0398704 | ||||||||
\(160\) | −10.7168 | −0.847236 | ||||||||
\(161\) | − | 1.05998i | − | 0.0835384i | ||||||
\(162\) | − | 0.584778i | − | 0.0459445i | ||||||
\(163\) | − | 13.0186i | − | 1.01970i | −0.860264 | − | 0.509848i | \(-0.829702\pi\) | ||
0.860264 | − | 0.509848i | \(-0.170298\pi\) | |||||||
\(164\) | 1.71868i | 0.134206i | ||||||||
\(165\) | −1.95350 | −0.152080 | ||||||||
\(166\) | 8.48728 | 0.658740 | ||||||||
\(167\) | − | 14.0271i | − | 1.08545i | −0.839911 | − | 0.542724i | \(-0.817393\pi\) | ||
0.839911 | − | 0.542724i | \(-0.182607\pi\) | |||||||
\(168\) | −3.23178 | −0.249337 | ||||||||
\(169\) | 11.4255 | − | 6.20151i | 0.878882 | − | 0.477039i | ||||
\(170\) | 3.93200 | 0.301571 | ||||||||
\(171\) | 5.09587i | 0.389691i | ||||||||
\(172\) | 9.09696 | 0.693637 | ||||||||
\(173\) | −17.8674 | −1.35844 | −0.679218 | − | 0.733936i | \(-0.737681\pi\) | ||||
−0.679218 | + | 0.733936i | \(0.737681\pi\) | |||||||
\(174\) | − | 2.95276i | − | 0.223848i | ||||||
\(175\) | − | 1.78851i | − | 0.135198i | ||||||
\(176\) | − | 2.06515i | − | 0.155666i | ||||||
\(177\) | 2.65023i | 0.199204i | ||||||||
\(178\) | 1.05825 | 0.0793193 | ||||||||
\(179\) | −17.2723 | −1.29099 | −0.645495 | − | 0.763764i | \(-0.723349\pi\) | ||||
−0.645495 | + | 0.763764i | \(0.723349\pi\) | |||||||
\(180\) | − | 3.23897i | − | 0.241419i | ||||||
\(181\) | −3.70318 | −0.275255 | −0.137628 | − | 0.990484i | \(-0.543948\pi\) | ||||
−0.137628 | + | 0.990484i | \(0.543948\pi\) | |||||||
\(182\) | 3.08745 | − | 0.783889i | 0.228857 | − | 0.0581057i | ||||
\(183\) | −5.38195 | −0.397845 | ||||||||
\(184\) | − | 1.50084i | − | 0.110644i | ||||||
\(185\) | 4.06641 | 0.298969 | ||||||||
\(186\) | 4.25109 | 0.311705 | ||||||||
\(187\) | 3.44198i | 0.251703i | ||||||||
\(188\) | − | 6.22136i | − | 0.453740i | ||||||
\(189\) | − | 1.51078i | − | 0.109893i | ||||||
\(190\) | − | 5.82135i | − | 0.422325i | ||||||
\(191\) | −20.6259 | −1.49243 | −0.746217 | − | 0.665702i | \(-0.768132\pi\) | ||||
−0.746217 | + | 0.665702i | \(0.768132\pi\) | |||||||
\(192\) | 0.922236 | 0.0665566 | ||||||||
\(193\) | − | 18.8475i | − | 1.35667i | −0.734753 | − | 0.678335i | \(-0.762702\pi\) | ||
0.734753 | − | 0.678335i | \(-0.237298\pi\) | |||||||
\(194\) | 8.48429 | 0.609136 | ||||||||
\(195\) | 1.73330 | + | 6.82685i | 0.124124 | + | 0.488881i | ||||
\(196\) | 7.82183 | 0.558702 | ||||||||
\(197\) | − | 7.18370i | − | 0.511818i | −0.966701 | − | 0.255909i | \(-0.917625\pi\) | ||
0.966701 | − | 0.255909i | \(-0.0823747\pi\) | |||||||
\(198\) | −0.584778 | −0.0415584 | ||||||||
\(199\) | 18.9591 | 1.34398 | 0.671989 | − | 0.740562i | \(-0.265440\pi\) | ||||
0.671989 | + | 0.740562i | \(0.265440\pi\) | |||||||
\(200\) | − | 2.53237i | − | 0.179066i | ||||||
\(201\) | − | 8.47197i | − | 0.597566i | ||||||
\(202\) | 5.05131i | 0.355409i | ||||||||
\(203\) | − | 7.62851i | − | 0.535417i | ||||||
\(204\) | −5.70692 | −0.399564 | ||||||||
\(205\) | 2.02496 | 0.141429 | ||||||||
\(206\) | − | 1.69614i | − | 0.118175i | ||||||
\(207\) | 0.701611 | 0.0487653 | ||||||||
\(208\) | −7.21701 | + | 1.83236i | −0.500409 | + | 0.127051i | ||||
\(209\) | 5.09587 | 0.352489 | ||||||||
\(210\) | 1.72587i | 0.119096i | ||||||||
\(211\) | −19.9916 | −1.37628 | −0.688139 | − | 0.725578i | \(-0.741572\pi\) | ||||
−0.688139 | + | 0.725578i | \(0.741572\pi\) | |||||||
\(212\) | −0.833571 | −0.0572499 | ||||||||
\(213\) | − | 2.31533i | − | 0.158644i | ||||||
\(214\) | 1.34051i | 0.0916356i | ||||||||
\(215\) | − | 10.7181i | − | 0.730967i | ||||||
\(216\) | − | 2.13914i | − | 0.145550i | ||||||
\(217\) | 10.9828 | 0.745558 | ||||||||
\(218\) | 7.53303 | 0.510201 | ||||||||
\(219\) | − | 2.21094i | − | 0.149401i | ||||||
\(220\) | −3.23897 | −0.218372 | ||||||||
\(221\) | 12.0286 | − | 3.05400i | 0.809131 | − | 0.205434i | ||||
\(222\) | 1.21727 | 0.0816981 | ||||||||
\(223\) | − | 27.7784i | − | 1.86018i | −0.367330 | − | 0.930091i | \(-0.619728\pi\) | ||
0.367330 | − | 0.930091i | \(-0.380272\pi\) | |||||||
\(224\) | −8.28806 | −0.553769 | ||||||||
\(225\) | 1.18383 | 0.0789218 | ||||||||
\(226\) | 7.38419i | 0.491189i | ||||||||
\(227\) | 28.6524i | 1.90173i | 0.309612 | + | 0.950863i | \(0.399801\pi\) | ||||
−0.309612 | + | 0.950863i | \(0.600199\pi\) | |||||||
\(228\) | 8.44913i | 0.559557i | ||||||||
\(229\) | − | 4.83459i | − | 0.319479i | −0.987159 | − | 0.159739i | \(-0.948935\pi\) | ||
0.987159 | − | 0.159739i | \(-0.0510654\pi\) | |||||||
\(230\) | −0.801497 | −0.0528491 | ||||||||
\(231\) | −1.51078 | −0.0994023 | ||||||||
\(232\) | − | 10.8013i | − | 0.709141i | ||||||
\(233\) | −13.6237 | −0.892518 | −0.446259 | − | 0.894904i | \(-0.647244\pi\) | ||||
−0.446259 | + | 0.894904i | \(0.647244\pi\) | |||||||
\(234\) | 0.518862 | + | 2.04361i | 0.0339191 | + | 0.133595i | ||||
\(235\) | −7.33004 | −0.478159 | ||||||||
\(236\) | 4.39417i | 0.286036i | ||||||||
\(237\) | −5.54589 | −0.360244 | ||||||||
\(238\) | 3.04090 | 0.197112 | ||||||||
\(239\) | − | 5.99903i | − | 0.388045i | −0.980997 | − | 0.194023i | \(-0.937846\pi\) | ||
0.980997 | − | 0.194023i | \(-0.0621535\pi\) | |||||||
\(240\) | − | 4.03427i | − | 0.260411i | ||||||
\(241\) | 12.9290i | 0.832831i | 0.909174 | + | 0.416416i | \(0.136714\pi\) | ||||
−0.909174 | + | 0.416416i | \(0.863286\pi\) | |||||||
\(242\) | 0.584778i | 0.0375910i | ||||||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −8.92346 | −0.571266 | ||||||||
\(245\) | − | 9.21571i | − | 0.588770i | ||||||
\(246\) | 0.606168 | 0.0386478 | ||||||||
\(247\) | −4.52146 | − | 17.8084i | −0.287694 | − | 1.13312i | ||||
\(248\) | 15.5506 | 0.987466 | ||||||||
\(249\) | 14.5137i | 0.919766i | ||||||||
\(250\) | −7.06420 | −0.446779 | ||||||||
\(251\) | 23.9724 | 1.51313 | 0.756563 | − | 0.653921i | \(-0.226877\pi\) | ||||
0.756563 | + | 0.653921i | \(0.226877\pi\) | |||||||
\(252\) | − | 2.50493i | − | 0.157796i | ||||||
\(253\) | − | 0.701611i | − | 0.0441099i | ||||||
\(254\) | 2.95363i | 0.185327i | ||||||||
\(255\) | 6.72392i | 0.421068i | ||||||||
\(256\) | −4.88701 | −0.305438 | ||||||||
\(257\) | −16.3441 | −1.01952 | −0.509758 | − | 0.860318i | \(-0.670265\pi\) | ||||
−0.509758 | + | 0.860318i | \(0.670265\pi\) | |||||||
\(258\) | − | 3.20844i | − | 0.199749i | ||||||
\(259\) | 3.14485 | 0.195411 | ||||||||
\(260\) | 2.87388 | + | 11.3192i | 0.178230 | + | 0.701984i | ||||
\(261\) | 5.04937 | 0.312548 | ||||||||
\(262\) | − | 9.34313i | − | 0.577220i | ||||||
\(263\) | 10.1510 | 0.625936 | 0.312968 | − | 0.949764i | \(-0.398677\pi\) | ||||
0.312968 | + | 0.949764i | \(0.398677\pi\) | |||||||
\(264\) | −2.13914 | −0.131655 | ||||||||
\(265\) | 0.982117i | 0.0603310i | ||||||||
\(266\) | − | 4.50207i | − | 0.276040i | ||||||
\(267\) | 1.80966i | 0.110750i | ||||||||
\(268\) | − | 14.0468i | − | 0.858045i | ||||||
\(269\) | 16.5294 | 1.00781 | 0.503907 | − | 0.863758i | \(-0.331895\pi\) | ||||
0.503907 | + | 0.863758i | \(0.331895\pi\) | |||||||
\(270\) | −1.14237 | −0.0695222 | ||||||||
\(271\) | − | 20.8927i | − | 1.26914i | −0.772865 | − | 0.634570i | \(-0.781177\pi\) | ||
0.772865 | − | 0.634570i | \(-0.218823\pi\) | |||||||
\(272\) | −7.10819 | −0.430997 | ||||||||
\(273\) | 1.34049 | + | 5.27970i | 0.0811301 | + | 0.319542i | ||||
\(274\) | 10.0922 | 0.609693 | ||||||||
\(275\) | − | 1.18383i | − | 0.0713874i | ||||||
\(276\) | 1.16330 | 0.0700221 | ||||||||
\(277\) | 17.3070 | 1.03988 | 0.519938 | − | 0.854204i | \(-0.325955\pi\) | ||||
0.519938 | + | 0.854204i | \(0.325955\pi\) | |||||||
\(278\) | 3.33642i | 0.200105i | ||||||||
\(279\) | 7.26957i | 0.435218i | ||||||||
\(280\) | 6.31329i | 0.377291i | ||||||||
\(281\) | 16.0666i | 0.958450i | 0.877692 | + | 0.479225i | \(0.159082\pi\) | ||||
−0.877692 | + | 0.479225i | \(0.840918\pi\) | |||||||
\(282\) | −2.19424 | −0.130665 | ||||||||
\(283\) | 17.2180 | 1.02350 | 0.511751 | − | 0.859134i | \(-0.328997\pi\) | ||||
0.511751 | + | 0.859134i | \(0.328997\pi\) | |||||||
\(284\) | − | 3.83890i | − | 0.227797i | ||||||
\(285\) | 9.95480 | 0.589671 | ||||||||
\(286\) | 2.04361 | − | 0.518862i | 0.120841 | − | 0.0306810i | ||||
\(287\) | 1.56604 | 0.0924406 | ||||||||
\(288\) | − | 5.48593i | − | 0.323262i | ||||||
\(289\) | −5.15277 | −0.303104 | ||||||||
\(290\) | −5.76823 | −0.338722 | ||||||||
\(291\) | 14.5085i | 0.850506i | ||||||||
\(292\) | − | 3.66581i | − | 0.214525i | ||||||
\(293\) | − | 5.29670i | − | 0.309436i | −0.987959 | − | 0.154718i | \(-0.950553\pi\) | ||
0.987959 | − | 0.154718i | \(-0.0494470\pi\) | |||||||
\(294\) | − | 2.75871i | − | 0.160891i | ||||||
\(295\) | 5.17723 | 0.301430 | ||||||||
\(296\) | 4.45283 | 0.258816 | ||||||||
\(297\) | − | 1.00000i | − | 0.0580259i | ||||||
\(298\) | −0.0941580 | −0.00545443 | ||||||||
\(299\) | −2.45190 | + | 0.622525i | −0.141797 | + | 0.0360016i | ||||
\(300\) | 1.96282 | 0.113324 | ||||||||
\(301\) | − | 8.28906i | − | 0.477773i | ||||||
\(302\) | −9.53812 | −0.548857 | ||||||||
\(303\) | −8.63799 | −0.496240 | ||||||||
\(304\) | 10.5237i | 0.603576i | ||||||||
\(305\) | 10.5137i | 0.602010i | ||||||||
\(306\) | 2.01280i | 0.115064i | ||||||||
\(307\) | − | 26.3020i | − | 1.50113i | −0.660794 | − | 0.750567i | \(-0.729780\pi\) | ||
0.660794 | − | 0.750567i | \(-0.270220\pi\) | |||||||
\(308\) | −2.50493 | −0.142732 | ||||||||
\(309\) | 2.90048 | 0.165002 | ||||||||
\(310\) | − | 8.30451i | − | 0.471665i | ||||||
\(311\) | −32.8590 | −1.86326 | −0.931632 | − | 0.363403i | \(-0.881615\pi\) | ||||
−0.931632 | + | 0.363403i | \(0.881615\pi\) | |||||||
\(312\) | 1.89802 | + | 7.47559i | 0.107454 | + | 0.423222i | ||||
\(313\) | 33.2130 | 1.87731 | 0.938655 | − | 0.344858i | \(-0.112073\pi\) | ||||
0.938655 | + | 0.344858i | \(0.112073\pi\) | |||||||
\(314\) | 8.31507i | 0.469247i | ||||||||
\(315\) | −2.95132 | −0.166288 | ||||||||
\(316\) | −9.19527 | −0.517274 | ||||||||
\(317\) | 30.8436i | 1.73235i | 0.499740 | + | 0.866175i | \(0.333429\pi\) | ||||
−0.499740 | + | 0.866175i | \(0.666571\pi\) | |||||||
\(318\) | 0.293995i | 0.0164864i | ||||||||
\(319\) | − | 5.04937i | − | 0.282711i | ||||||
\(320\) | − | 1.80159i | − | 0.100712i | ||||||
\(321\) | −2.29234 | −0.127946 | ||||||||
\(322\) | −0.619855 | −0.0345432 | ||||||||
\(323\) | − | 17.5399i | − | 0.975945i | ||||||
\(324\) | 1.65803 | 0.0921130 | ||||||||
\(325\) | −4.13709 | + | 1.05039i | −0.229484 | + | 0.0582649i | ||||
\(326\) | −7.61300 | −0.421645 | ||||||||
\(327\) | 12.8818i | 0.712368i | ||||||||
\(328\) | 2.21738 | 0.122434 | ||||||||
\(329\) | −5.66884 | −0.312534 | ||||||||
\(330\) | 1.14237i | 0.0628852i | ||||||||
\(331\) | 5.75414i | 0.316276i | 0.987417 | + | 0.158138i | \(0.0505491\pi\) | ||||
−0.987417 | + | 0.158138i | \(0.949451\pi\) | |||||||
\(332\) | 24.0641i | 1.32069i | ||||||||
\(333\) | 2.08160i | 0.114071i | ||||||||
\(334\) | −8.20273 | −0.448833 | ||||||||
\(335\) | −16.5500 | −0.904224 | ||||||||
\(336\) | − | 3.11999i | − | 0.170209i | ||||||
\(337\) | −10.9245 | −0.595094 | −0.297547 | − | 0.954707i | \(-0.596169\pi\) | ||||
−0.297547 | + | 0.954707i | \(0.596169\pi\) | |||||||
\(338\) | −3.62651 | − | 6.68137i | −0.197256 | − | 0.363419i | ||||
\(339\) | −12.6273 | −0.685823 | ||||||||
\(340\) | 11.1485i | 0.604612i | ||||||||
\(341\) | 7.26957 | 0.393669 | ||||||||
\(342\) | 2.97995 | 0.161138 | ||||||||
\(343\) | − | 17.7027i | − | 0.955854i | ||||||
\(344\) | − | 11.7366i | − | 0.632795i | ||||||
\(345\) | − | 1.37060i | − | 0.0737906i | ||||||
\(346\) | 10.4485i | 0.561715i | ||||||||
\(347\) | 16.3474 | 0.877572 | 0.438786 | − | 0.898591i | \(-0.355409\pi\) | ||||
0.438786 | + | 0.898591i | \(0.355409\pi\) | |||||||
\(348\) | 8.37203 | 0.448788 | ||||||||
\(349\) | − | 8.62758i | − | 0.461824i | −0.972975 | − | 0.230912i | \(-0.925829\pi\) | ||
0.972975 | − | 0.230912i | \(-0.0741709\pi\) | |||||||
\(350\) | −1.04588 | −0.0559046 | ||||||||
\(351\) | −3.49467 | + | 0.887280i | −0.186532 | + | 0.0473595i | ||||
\(352\) | −5.48593 | −0.292401 | ||||||||
\(353\) | 16.5793i | 0.882425i | 0.897403 | + | 0.441212i | \(0.145451\pi\) | ||||
−0.897403 | + | 0.441212i | \(0.854549\pi\) | |||||||
\(354\) | 1.54980 | 0.0823708 | ||||||||
\(355\) | −4.52300 | −0.240056 | ||||||||
\(356\) | 3.00048i | 0.159025i | ||||||||
\(357\) | 5.20009i | 0.275218i | ||||||||
\(358\) | 10.1005i | 0.533826i | ||||||||
\(359\) | 15.5233i | 0.819289i | 0.912245 | + | 0.409645i | \(0.134347\pi\) | ||||
−0.912245 | + | 0.409645i | \(0.865653\pi\) | |||||||
\(360\) | −4.17882 | −0.220243 | ||||||||
\(361\) | −6.96788 | −0.366731 | ||||||||
\(362\) | 2.16554i | 0.113818i | ||||||||
\(363\) | −1.00000 | −0.0524864 | ||||||||
\(364\) | 2.22258 | + | 8.75392i | 0.116495 | + | 0.458830i | ||||
\(365\) | −4.31907 | −0.226071 | ||||||||
\(366\) | 3.14725i | 0.164509i | ||||||||
\(367\) | 23.4682 | 1.22503 | 0.612514 | − | 0.790460i | \(-0.290158\pi\) | ||||
0.612514 | + | 0.790460i | \(0.290158\pi\) | |||||||
\(368\) | 1.44893 | 0.0755306 | ||||||||
\(369\) | 1.03658i | 0.0539620i | ||||||||
\(370\) | − | 2.37795i | − | 0.123624i | ||||||
\(371\) | 0.759541i | 0.0394334i | ||||||||
\(372\) | 12.0532i | 0.624929i | ||||||||
\(373\) | 12.3222 | 0.638018 | 0.319009 | − | 0.947752i | \(-0.396650\pi\) | ||||
0.319009 | + | 0.947752i | \(0.396650\pi\) | |||||||
\(374\) | 2.01280 | 0.104079 | ||||||||
\(375\) | − | 12.0801i | − | 0.623815i | ||||||
\(376\) | −8.02659 | −0.413940 | ||||||||
\(377\) | −17.6459 | + | 4.48021i | −0.908810 | + | 0.230742i | ||||
\(378\) | −0.883474 | −0.0454410 | ||||||||
\(379\) | − | 22.8695i | − | 1.17473i | −0.809322 | − | 0.587365i | \(-0.800165\pi\) | ||
0.809322 | − | 0.587365i | \(-0.199835\pi\) | |||||||
\(380\) | 16.5054 | 0.846709 | ||||||||
\(381\) | −5.05085 | −0.258763 | ||||||||
\(382\) | 12.0616i | 0.617123i | ||||||||
\(383\) | − | 35.5259i | − | 1.81529i | −0.419737 | − | 0.907646i | \(-0.637878\pi\) | ||
0.419737 | − | 0.907646i | \(-0.362122\pi\) | |||||||
\(384\) | − | 11.5112i | − | 0.587427i | ||||||
\(385\) | 2.95132i | 0.150413i | ||||||||
\(386\) | −11.0216 | −0.560984 | ||||||||
\(387\) | 5.48659 | 0.278899 | ||||||||
\(388\) | 24.0557i | 1.22124i | ||||||||
\(389\) | 2.67074 | 0.135412 | 0.0677060 | − | 0.997705i | \(-0.478432\pi\) | ||||
0.0677060 | + | 0.997705i | \(0.478432\pi\) | |||||||
\(390\) | 3.99220 | − | 1.01360i | 0.202153 | − | 0.0513256i | ||||
\(391\) | −2.41493 | −0.122128 | ||||||||
\(392\) | − | 10.0915i | − | 0.509696i | ||||||
\(393\) | 15.9772 | 0.805944 | ||||||||
\(394\) | −4.20087 | −0.211637 | ||||||||
\(395\) | 10.8339i | 0.545113i | ||||||||
\(396\) | − | 1.65803i | − | 0.0833193i | ||||||
\(397\) | 36.4406i | 1.82890i | 0.404698 | + | 0.914451i | \(0.367377\pi\) | ||||
−0.404698 | + | 0.914451i | \(0.632623\pi\) | |||||||
\(398\) | − | 11.0869i | − | 0.555736i | ||||||
\(399\) | 7.69876 | 0.385420 | ||||||||
\(400\) | 2.44477 | 0.122239 | ||||||||
\(401\) | − | 13.6597i | − | 0.682132i | −0.940039 | − | 0.341066i | \(-0.889212\pi\) | ||
0.940039 | − | 0.341066i | \(-0.110788\pi\) | |||||||
\(402\) | −4.95422 | −0.247094 | ||||||||
\(403\) | −6.45015 | − | 25.4048i | −0.321305 | − | 1.26550i | ||||
\(404\) | −14.3221 | −0.712550 | ||||||||
\(405\) | − | 1.95350i | − | 0.0970703i | ||||||
\(406\) | −4.46099 | −0.221395 | ||||||||
\(407\) | 2.08160 | 0.103181 | ||||||||
\(408\) | 7.36288i | 0.364517i | ||||||||
\(409\) | 25.8507i | 1.27823i | 0.769110 | + | 0.639117i | \(0.220700\pi\) | ||||
−0.769110 | + | 0.639117i | \(0.779300\pi\) | |||||||
\(410\) | − | 1.18415i | − | 0.0584810i | ||||||
\(411\) | 17.2582i | 0.851283i | ||||||||
\(412\) | 4.80909 | 0.236927 | ||||||||
\(413\) | 4.00393 | 0.197020 | ||||||||
\(414\) | − | 0.410287i | − | 0.0201645i | ||||||
\(415\) | 28.3525 | 1.39177 | ||||||||
\(416\) | 4.86756 | + | 19.1715i | 0.238652 | + | 0.939962i | ||||
\(417\) | −5.70544 | −0.279397 | ||||||||
\(418\) | − | 2.97995i | − | 0.145754i | ||||||
\(419\) | 22.6067 | 1.10441 | 0.552205 | − | 0.833708i | \(-0.313787\pi\) | ||||
0.552205 | + | 0.833708i | \(0.313787\pi\) | |||||||
\(420\) | −4.89339 | −0.238773 | ||||||||
\(421\) | 24.6918i | 1.20341i | 0.798720 | + | 0.601703i | \(0.205511\pi\) | ||||
−0.798720 | + | 0.601703i | \(0.794489\pi\) | |||||||
\(422\) | 11.6907i | 0.569092i | ||||||||
\(423\) | − | 3.75225i | − | 0.182441i | ||||||
\(424\) | 1.07544i | 0.0522282i | ||||||||
\(425\) | −4.07471 | −0.197652 | ||||||||
\(426\) | −1.35395 | −0.0655993 | ||||||||
\(427\) | 8.13097i | 0.393485i | ||||||||
\(428\) | −3.80079 | −0.183718 | ||||||||
\(429\) | 0.887280 | + | 3.49467i | 0.0428383 | + | 0.168724i | ||||
\(430\) | −6.26770 | −0.302255 | ||||||||
\(431\) | 30.1126i | 1.45047i | 0.688499 | + | 0.725237i | \(0.258270\pi\) | ||||
−0.688499 | + | 0.725237i | \(0.741730\pi\) | |||||||
\(432\) | 2.06515 | 0.0993594 | ||||||||
\(433\) | −30.9402 | −1.48689 | −0.743445 | − | 0.668797i | \(-0.766809\pi\) | ||||
−0.743445 | + | 0.668797i | \(0.766809\pi\) | |||||||
\(434\) | − | 6.42248i | − | 0.308289i | ||||||
\(435\) | − | 9.86396i | − | 0.472941i | ||||||
\(436\) | 21.3585i | 1.02289i | ||||||||
\(437\) | 3.57532i | 0.171031i | ||||||||
\(438\) | −1.29291 | −0.0617775 | ||||||||
\(439\) | 7.02158 | 0.335122 | 0.167561 | − | 0.985862i | \(-0.446411\pi\) | ||||
0.167561 | + | 0.985862i | \(0.446411\pi\) | |||||||
\(440\) | 4.17882i | 0.199217i | ||||||||
\(441\) | 4.71753 | 0.224644 | ||||||||
\(442\) | −1.78591 | − | 7.03406i | −0.0849472 | − | 0.334576i | ||||
\(443\) | −22.5411 | −1.07096 | −0.535480 | − | 0.844548i | \(-0.679869\pi\) | ||||
−0.535480 | + | 0.844548i | \(0.679869\pi\) | |||||||
\(444\) | 3.45136i | 0.163794i | ||||||||
\(445\) | 3.53518 | 0.167584 | ||||||||
\(446\) | −16.2442 | −0.769187 | ||||||||
\(447\) | − | 0.161015i | − | 0.00761574i | ||||||
\(448\) | − | 1.39330i | − | 0.0658272i | ||||||
\(449\) | 9.41670i | 0.444401i | 0.975001 | + | 0.222201i | \(0.0713240\pi\) | ||||
−0.975001 | + | 0.222201i | \(0.928676\pi\) | |||||||
\(450\) | − | 0.692276i | − | 0.0326342i | ||||||
\(451\) | 1.03658 | 0.0488105 | ||||||||
\(452\) | −20.9365 | −0.984772 | ||||||||
\(453\) | − | 16.3107i | − | 0.766341i | ||||||
\(454\) | 16.7553 | 0.786365 | ||||||||
\(455\) | 10.3139 | − | 2.61865i | 0.483523 | − | 0.122764i | ||||
\(456\) | 10.9008 | 0.510476 | ||||||||
\(457\) | − | 3.48691i | − | 0.163111i | −0.996669 | − | 0.0815554i | \(-0.974011\pi\) | ||
0.996669 | − | 0.0815554i | \(-0.0259887\pi\) | |||||||
\(458\) | −2.82717 | −0.132105 | ||||||||
\(459\) | −3.44198 | −0.160658 | ||||||||
\(460\) | − | 2.27250i | − | 0.105956i | ||||||
\(461\) | 15.1983i | 0.707855i | 0.935273 | + | 0.353928i | \(0.115154\pi\) | ||||
−0.935273 | + | 0.353928i | \(0.884846\pi\) | |||||||
\(462\) | 0.883474i | 0.0411029i | ||||||||
\(463\) | − | 15.9882i | − | 0.743035i | −0.928426 | − | 0.371518i | \(-0.878838\pi\) | ||
0.928426 | − | 0.371518i | \(-0.121162\pi\) | |||||||
\(464\) | 10.4277 | 0.484093 | ||||||||
\(465\) | 14.2011 | 0.658562 | ||||||||
\(466\) | 7.96684i | 0.369057i | ||||||||
\(467\) | −32.9225 | −1.52347 | −0.761736 | − | 0.647888i | \(-0.775652\pi\) | ||||
−0.761736 | + | 0.647888i | \(0.775652\pi\) | |||||||
\(468\) | −5.79429 | + | 1.47114i | −0.267841 | + | 0.0680035i | ||||
\(469\) | −12.7993 | −0.591017 | ||||||||
\(470\) | 4.28645i | 0.197719i | ||||||||
\(471\) | −14.2192 | −0.655185 | ||||||||
\(472\) | 5.66921 | 0.260947 | ||||||||
\(473\) | − | 5.48659i | − | 0.252274i | ||||||
\(474\) | 3.24312i | 0.148961i | ||||||||
\(475\) | 6.03262i | 0.276796i | ||||||||
\(476\) | 8.62193i | 0.395185i | ||||||||
\(477\) | −0.502747 | −0.0230192 | ||||||||
\(478\) | −3.50811 | −0.160457 | ||||||||
\(479\) | − | 33.6023i | − | 1.53533i | −0.640853 | − | 0.767664i | \(-0.721419\pi\) | ||
0.640853 | − | 0.767664i | \(-0.278581\pi\) | |||||||
\(480\) | −10.7168 | −0.489152 | ||||||||
\(481\) | −1.84696 | − | 7.27451i | −0.0842142 | − | 0.331689i | ||||
\(482\) | 7.56061 | 0.344376 | ||||||||
\(483\) | − | 1.05998i | − | 0.0482309i | ||||||
\(484\) | −1.65803 | −0.0753652 | ||||||||
\(485\) | 28.3425 | 1.28697 | ||||||||
\(486\) | − | 0.584778i | − | 0.0265261i | ||||||
\(487\) | 3.70001i | 0.167663i | 0.996480 | + | 0.0838316i | \(0.0267158\pi\) | ||||
−0.996480 | + | 0.0838316i | \(0.973284\pi\) | |||||||
\(488\) | 11.5127i | 0.521158i | ||||||||
\(489\) | − | 13.0186i | − | 0.588722i | ||||||
\(490\) | −5.38915 | −0.243457 | ||||||||
\(491\) | 10.1397 | 0.457599 | 0.228799 | − | 0.973474i | \(-0.426520\pi\) | ||||
0.228799 | + | 0.973474i | \(0.426520\pi\) | |||||||
\(492\) | 1.71868i | 0.0774840i | ||||||||
\(493\) | −17.3798 | −0.782749 | ||||||||
\(494\) | −10.4140 | + | 2.64405i | −0.468546 | + | 0.118962i | ||||
\(495\) | −1.95350 | −0.0878034 | ||||||||
\(496\) | 15.0127i | 0.674091i | ||||||||
\(497\) | −3.49796 | −0.156905 | ||||||||
\(498\) | 8.48728 | 0.380324 | ||||||||
\(499\) | − | 15.1124i | − | 0.676525i | −0.941052 | − | 0.338263i | \(-0.890161\pi\) | ||
0.941052 | − | 0.338263i | \(-0.109839\pi\) | |||||||
\(500\) | − | 20.0293i | − | 0.895736i | ||||||
\(501\) | − | 14.0271i | − | 0.626683i | ||||||
\(502\) | − | 14.0185i | − | 0.625678i | ||||||
\(503\) | 11.9190 | 0.531441 | 0.265721 | − | 0.964050i | \(-0.414390\pi\) | ||||
0.265721 | + | 0.964050i | \(0.414390\pi\) | |||||||
\(504\) | −3.23178 | −0.143955 | ||||||||
\(505\) | 16.8743i | 0.750898i | ||||||||
\(506\) | −0.410287 | −0.0182395 | ||||||||
\(507\) | 11.4255 | − | 6.20151i | 0.507423 | − | 0.275419i | ||||
\(508\) | −8.37448 | −0.371558 | ||||||||
\(509\) | − | 35.2059i | − | 1.56047i | −0.625485 | − | 0.780236i | \(-0.715099\pi\) | ||
0.625485 | − | 0.780236i | \(-0.284901\pi\) | |||||||
\(510\) | 3.93200 | 0.174112 | ||||||||
\(511\) | −3.34025 | −0.147764 | ||||||||
\(512\) | − | 20.1645i | − | 0.891154i | ||||||
\(513\) | 5.09587i | 0.224988i | ||||||||
\(514\) | 9.55767i | 0.421571i | ||||||||
\(515\) | − | 5.66609i | − | 0.249678i | ||||||
\(516\) | 9.09696 | 0.400471 | ||||||||
\(517\) | −3.75225 | −0.165024 | ||||||||
\(518\) | − | 1.83904i | − | 0.0808028i | ||||||
\(519\) | −17.8674 | −0.784294 | ||||||||
\(520\) | 14.6036 | − | 3.70778i | 0.640410 | − | 0.162597i | ||||
\(521\) | −2.84143 | −0.124485 | −0.0622426 | − | 0.998061i | \(-0.519825\pi\) | ||||
−0.0622426 | + | 0.998061i | \(0.519825\pi\) | |||||||
\(522\) | − | 2.95276i | − | 0.129239i | ||||||
\(523\) | −17.8564 | −0.780804 | −0.390402 | − | 0.920644i | \(-0.627664\pi\) | ||||
−0.390402 | + | 0.920644i | \(0.627664\pi\) | |||||||
\(524\) | 26.4908 | 1.15725 | ||||||||
\(525\) | − | 1.78851i | − | 0.0780568i | ||||||
\(526\) | − | 5.93607i | − | 0.258825i | ||||||
\(527\) | − | 25.0217i | − | 1.08996i | ||||||
\(528\) | − | 2.06515i | − | 0.0898739i | ||||||
\(529\) | −22.5077 | −0.978597 | ||||||||
\(530\) | 0.574321 | 0.0249469 | ||||||||
\(531\) | 2.65023i | 0.115010i | ||||||||
\(532\) | 12.7648 | 0.553424 | ||||||||
\(533\) | −0.919734 | − | 3.62249i | −0.0398381 | − | 0.156908i | ||||
\(534\) | 1.05825 | 0.0457950 | ||||||||
\(535\) | 4.47810i | 0.193605i | ||||||||
\(536\) | −18.1227 | −0.782782 | ||||||||
\(537\) | −17.2723 | −0.745354 | ||||||||
\(538\) | − | 9.66602i | − | 0.416732i | ||||||
\(539\) | − | 4.71753i | − | 0.203198i | ||||||
\(540\) | − | 3.23897i | − | 0.139383i | ||||||
\(541\) | 3.56883i | 0.153436i | 0.997053 | + | 0.0767179i | \(0.0244441\pi\) | ||||
−0.997053 | + | 0.0767179i | \(0.975556\pi\) | |||||||
\(542\) | −12.2176 | −0.524791 | ||||||||
\(543\) | −3.70318 | −0.158919 | ||||||||
\(544\) | 18.8825i | 0.809579i | ||||||||
\(545\) | 25.1647 | 1.07794 | ||||||||
\(546\) | 3.08745 | − | 0.783889i | 0.132131 | − | 0.0335473i | ||||
\(547\) | 3.50639 | 0.149923 | 0.0749613 | − | 0.997186i | \(-0.476117\pi\) | ||||
0.0749613 | + | 0.997186i | \(0.476117\pi\) | |||||||
\(548\) | 28.6146i | 1.22236i | ||||||||
\(549\) | −5.38195 | −0.229696 | ||||||||
\(550\) | −0.692276 | −0.0295188 | ||||||||
\(551\) | 25.7309i | 1.09617i | ||||||||
\(552\) | − | 1.50084i | − | 0.0638802i | ||||||
\(553\) | 8.37864i | 0.356296i | ||||||||
\(554\) | − | 10.1207i | − | 0.429989i | ||||||
\(555\) | 4.06641 | 0.172610 | ||||||||
\(556\) | −9.45982 | −0.401186 | ||||||||
\(557\) | − | 7.38164i | − | 0.312770i | −0.987696 | − | 0.156385i | \(-0.950016\pi\) | ||
0.987696 | − | 0.156385i | \(-0.0499841\pi\) | |||||||
\(558\) | 4.25109 | 0.179963 | ||||||||
\(559\) | −19.1738 | + | 4.86815i | −0.810967 | + | 0.205901i | ||||
\(560\) | −6.09491 | −0.257557 | ||||||||
\(561\) | 3.44198i | 0.145321i | ||||||||
\(562\) | 9.39537 | 0.396320 | ||||||||
\(563\) | 35.5383 | 1.49776 | 0.748879 | − | 0.662706i | \(-0.230592\pi\) | ||||
0.748879 | + | 0.662706i | \(0.230592\pi\) | |||||||
\(564\) | − | 6.22136i | − | 0.261967i | ||||||
\(565\) | 24.6675i | 1.03777i | ||||||||
\(566\) | − | 10.0687i | − | 0.423219i | ||||||
\(567\) | − | 1.51078i | − | 0.0634470i | ||||||
\(568\) | −4.95281 | −0.207815 | ||||||||
\(569\) | 19.6546 | 0.823966 | 0.411983 | − | 0.911192i | \(-0.364836\pi\) | ||||
0.411983 | + | 0.911192i | \(0.364836\pi\) | |||||||
\(570\) | − | 5.82135i | − | 0.243830i | ||||||
\(571\) | 18.6081 | 0.778726 | 0.389363 | − | 0.921084i | \(-0.372695\pi\) | ||||
0.389363 | + | 0.921084i | \(0.372695\pi\) | |||||||
\(572\) | 1.47114 | + | 5.79429i | 0.0615115 | + | 0.242271i | ||||
\(573\) | −20.6259 | −0.861658 | ||||||||
\(574\) | − | 0.915788i | − | 0.0382243i | ||||||
\(575\) | 0.830586 | 0.0346378 | ||||||||
\(576\) | 0.922236 | 0.0384265 | ||||||||
\(577\) | 25.5485i | 1.06360i | 0.846871 | + | 0.531799i | \(0.178484\pi\) | ||||
−0.846871 | + | 0.531799i | \(0.821516\pi\) | |||||||
\(578\) | 3.01323i | 0.125334i | ||||||||
\(579\) | − | 18.8475i | − | 0.783274i | ||||||
\(580\) | − | 16.3548i | − | 0.679096i | ||||||
\(581\) | 21.9270 | 0.909686 | ||||||||
\(582\) | 8.48429 | 0.351685 | ||||||||
\(583\) | 0.502747i | 0.0208216i | ||||||||
\(584\) | −4.72950 | −0.195708 | ||||||||
\(585\) | 1.73330 | + | 6.82685i | 0.0716633 | + | 0.282256i | ||||
\(586\) | −3.09739 | −0.127952 | ||||||||
\(587\) | 2.35936i | 0.0973813i | 0.998814 | + | 0.0486907i | \(0.0155049\pi\) | ||||
−0.998814 | + | 0.0486907i | \(0.984495\pi\) | |||||||
\(588\) | 7.82183 | 0.322567 | ||||||||
\(589\) | −37.0448 | −1.52640 | ||||||||
\(590\) | − | 3.02753i | − | 0.124642i | ||||||
\(591\) | − | 7.18370i | − | 0.295498i | ||||||
\(592\) | 4.29881i | 0.176680i | ||||||||
\(593\) | − | 11.6707i | − | 0.479257i | −0.970865 | − | 0.239628i | \(-0.922974\pi\) | ||
0.970865 | − | 0.239628i | \(-0.0770256\pi\) | |||||||
\(594\) | −0.584778 | −0.0239938 | ||||||||
\(595\) | 10.1584 | 0.416453 | ||||||||
\(596\) | − | 0.266968i | − | 0.0109354i | ||||||
\(597\) | 18.9591 | 0.775946 | ||||||||
\(598\) | 0.364040 | + | 1.43382i | 0.0148867 | + | 0.0586332i | ||||
\(599\) | 9.12181 | 0.372707 | 0.186354 | − | 0.982483i | \(-0.440333\pi\) | ||||
0.186354 | + | 0.982483i | \(0.440333\pi\) | |||||||
\(600\) | − | 2.53237i | − | 0.103384i | ||||||
\(601\) | 6.90316 | 0.281586 | 0.140793 | − | 0.990039i | \(-0.455035\pi\) | ||||
0.140793 | + | 0.990039i | \(0.455035\pi\) | |||||||
\(602\) | −4.84726 | −0.197560 | ||||||||
\(603\) | − | 8.47197i | − | 0.345005i | ||||||
\(604\) | − | 27.0436i | − | 1.10039i | ||||||
\(605\) | 1.95350i | 0.0794212i | ||||||||
\(606\) | 5.05131i | 0.205196i | ||||||||
\(607\) | 11.5559 | 0.469038 | 0.234519 | − | 0.972112i | \(-0.424648\pi\) | ||||
0.234519 | + | 0.972112i | \(0.424648\pi\) | |||||||
\(608\) | 27.9556 | 1.13375 | ||||||||
\(609\) | − | 7.62851i | − | 0.309123i | ||||||
\(610\) | 6.14816 | 0.248932 | ||||||||
\(611\) | 3.32930 | + | 13.1129i | 0.134689 | + | 0.530491i | ||||
\(612\) | −5.70692 | −0.230689 | ||||||||
\(613\) | − | 37.7362i | − | 1.52415i | −0.647488 | − | 0.762075i | \(-0.724181\pi\) | ||
0.647488 | − | 0.762075i | \(-0.275819\pi\) | |||||||
\(614\) | −15.3808 | −0.620720 | ||||||||
\(615\) | 2.02496 | 0.0816541 | ||||||||
\(616\) | 3.23178i | 0.130212i | ||||||||
\(617\) | − | 28.2159i | − | 1.13593i | −0.823053 | − | 0.567964i | \(-0.807731\pi\) | ||
0.823053 | − | 0.567964i | \(-0.192269\pi\) | |||||||
\(618\) | − | 1.69614i | − | 0.0682286i | ||||||
\(619\) | 38.4407i | 1.54506i | 0.634978 | + | 0.772530i | \(0.281009\pi\) | ||||
−0.634978 | + | 0.772530i | \(0.718991\pi\) | |||||||
\(620\) | 23.5460 | 0.945628 | ||||||||
\(621\) | 0.701611 | 0.0281547 | ||||||||
\(622\) | 19.2152i | 0.770461i | ||||||||
\(623\) | 2.73401 | 0.109536 | ||||||||
\(624\) | −7.21701 | + | 1.83236i | −0.288911 | + | 0.0733532i | ||||
\(625\) | −17.6794 | −0.707177 | ||||||||
\(626\) | − | 19.4222i | − | 0.776269i | ||||||
\(627\) | 5.09587 | 0.203509 | ||||||||
\(628\) | −23.5759 | −0.940781 | ||||||||
\(629\) | − | 7.16483i | − | 0.285680i | ||||||
\(630\) | 1.72587i | 0.0687603i | ||||||||
\(631\) | − | 16.9688i | − | 0.675519i | −0.941232 | − | 0.337759i | \(-0.890331\pi\) | ||
0.941232 | − | 0.337759i | \(-0.109669\pi\) | |||||||
\(632\) | 11.8634i | 0.471902i | ||||||||
\(633\) | −19.9916 | −0.794595 | ||||||||
\(634\) | 18.0367 | 0.716328 | ||||||||
\(635\) | 9.86685i | 0.391554i | ||||||||
\(636\) | −0.833571 | −0.0330532 | ||||||||
\(637\) | −16.4862 | + | 4.18577i | −0.653208 | + | 0.165846i | ||||
\(638\) | −2.95276 | −0.116901 | ||||||||
\(639\) | − | 2.31533i | − | 0.0915930i | ||||||
\(640\) | −22.4871 | −0.888881 | ||||||||
\(641\) | −6.00876 | −0.237332 | −0.118666 | − | 0.992934i | \(-0.537862\pi\) | ||||
−0.118666 | + | 0.992934i | \(0.537862\pi\) | |||||||
\(642\) | 1.34051i | 0.0529059i | ||||||||
\(643\) | − | 9.64269i | − | 0.380270i | −0.981758 | − | 0.190135i | \(-0.939107\pi\) | ||
0.981758 | − | 0.190135i | \(-0.0608927\pi\) | |||||||
\(644\) | − | 1.75749i | − | 0.0692547i | ||||||
\(645\) | − | 10.7181i | − | 0.422024i | ||||||
\(646\) | −10.2569 | −0.403554 | ||||||||
\(647\) | 34.1912 | 1.34420 | 0.672098 | − | 0.740463i | \(-0.265394\pi\) | ||||
0.672098 | + | 0.740463i | \(0.265394\pi\) | |||||||
\(648\) | − | 2.13914i | − | 0.0840333i | ||||||
\(649\) | 2.65023 | 0.104031 | ||||||||
\(650\) | 0.614243 | + | 2.41928i | 0.0240926 | + | 0.0948919i | ||||
\(651\) | 10.9828 | 0.430448 | ||||||||
\(652\) | − | 21.5853i | − | 0.845345i | ||||||
\(653\) | −2.32307 | −0.0909086 | −0.0454543 | − | 0.998966i | \(-0.514474\pi\) | ||||
−0.0454543 | + | 0.998966i | \(0.514474\pi\) | |||||||
\(654\) | 7.53303 | 0.294565 | ||||||||
\(655\) | − | 31.2115i | − | 1.21954i | ||||||
\(656\) | 2.14068i | 0.0835796i | ||||||||
\(657\) | − | 2.21094i | − | 0.0862568i | ||||||
\(658\) | 3.31502i | 0.129233i | ||||||||
\(659\) | 4.07928 | 0.158906 | 0.0794532 | − | 0.996839i | \(-0.474683\pi\) | ||||
0.0794532 | + | 0.996839i | \(0.474683\pi\) | |||||||
\(660\) | −3.23897 | −0.126077 | ||||||||
\(661\) | 42.2740i | 1.64427i | 0.569293 | + | 0.822135i | \(0.307217\pi\) | ||||
−0.569293 | + | 0.822135i | \(0.692783\pi\) | |||||||
\(662\) | 3.36489 | 0.130780 | ||||||||
\(663\) | 12.0286 | − | 3.05400i | 0.467152 | − | 0.118608i | ||||
\(664\) | 31.0467 | 1.20485 | ||||||||
\(665\) | − | 15.0395i | − | 0.583209i | ||||||
\(666\) | 1.21727 | 0.0471684 | ||||||||
\(667\) | 3.54270 | 0.137174 | ||||||||
\(668\) | − | 23.2574i | − | 0.899854i | ||||||
\(669\) | − | 27.7784i | − | 1.07398i | ||||||
\(670\) | 9.67809i | 0.373897i | ||||||||
\(671\) | 5.38195i | 0.207768i | ||||||||
\(672\) | −8.28806 | −0.319719 | ||||||||
\(673\) | 10.6688 | 0.411252 | 0.205626 | − | 0.978631i | \(-0.434077\pi\) | ||||
0.205626 | + | 0.978631i | \(0.434077\pi\) | |||||||
\(674\) | 6.38840i | 0.246072i | ||||||||
\(675\) | 1.18383 | 0.0455655 | ||||||||
\(676\) | 18.9438 | − | 10.2823i | 0.728608 | − | 0.395473i | ||||
\(677\) | 24.2174 | 0.930752 | 0.465376 | − | 0.885113i | \(-0.345919\pi\) | ||||
0.465376 | + | 0.885113i | \(0.345919\pi\) | |||||||
\(678\) | 7.38419i | 0.283588i | ||||||||
\(679\) | 21.9193 | 0.841185 | ||||||||
\(680\) | 14.3834 | 0.551578 | ||||||||
\(681\) | 28.6524i | 1.09796i | ||||||||
\(682\) | − | 4.25109i | − | 0.162783i | ||||||
\(683\) | − | 37.1698i | − | 1.42226i | −0.703059 | − | 0.711132i | \(-0.748183\pi\) | ||
0.703059 | − | 0.711132i | \(-0.251817\pi\) | |||||||
\(684\) | 8.44913i | 0.323060i | ||||||||
\(685\) | 33.7139 | 1.28814 | ||||||||
\(686\) | −10.3521 | −0.395246 | ||||||||
\(687\) | − | 4.83459i | − | 0.184451i | ||||||
\(688\) | 11.3306 | 0.431976 | ||||||||
\(689\) | 1.75693 | − | 0.446077i | 0.0669339 | − | 0.0169942i | ||||
\(690\) | −0.801497 | −0.0305125 | ||||||||
\(691\) | − | 15.9632i | − | 0.607268i | −0.952789 | − | 0.303634i | \(-0.901800\pi\) | ||
0.952789 | − | 0.303634i | \(-0.0981999\pi\) | |||||||
\(692\) | −29.6248 | −1.12617 | ||||||||
\(693\) | −1.51078 | −0.0573899 | ||||||||
\(694\) | − | 9.55959i | − | 0.362877i | ||||||
\(695\) | 11.1456i | 0.422777i | ||||||||
\(696\) | − | 10.8013i | − | 0.409423i | ||||||
\(697\) | − | 3.56788i | − | 0.135143i | ||||||
\(698\) | −5.04522 | −0.190965 | ||||||||
\(699\) | −13.6237 | −0.515295 | ||||||||
\(700\) | − | 2.96540i | − | 0.112082i | ||||||
\(701\) | 2.01736 | 0.0761947 | 0.0380974 | − | 0.999274i | \(-0.487870\pi\) | ||||
0.0380974 | + | 0.999274i | \(0.487870\pi\) | |||||||
\(702\) | 0.518862 | + | 2.04361i | 0.0195832 | + | 0.0771311i | ||||
\(703\) | −10.6076 | −0.400072 | ||||||||
\(704\) | − | 0.922236i | − | 0.0347581i | ||||||
\(705\) | −7.33004 | −0.276065 | ||||||||
\(706\) | 9.69519 | 0.364883 | ||||||||
\(707\) | 13.0501i | 0.490801i | ||||||||
\(708\) | 4.39417i | 0.165143i | ||||||||
\(709\) | 29.6428i | 1.11326i | 0.830761 | + | 0.556629i | \(0.187905\pi\) | ||||
−0.830761 | + | 0.556629i | \(0.812095\pi\) | |||||||
\(710\) | 2.64495i | 0.0992634i | ||||||||
\(711\) | −5.54589 | −0.207987 | ||||||||
\(712\) | 3.87112 | 0.145076 | ||||||||
\(713\) | 5.10041i | 0.191012i | ||||||||
\(714\) | 3.04090 | 0.113803 | ||||||||
\(715\) | 6.82685 | − | 1.73330i | 0.255310 | − | 0.0648219i | ||||
\(716\) | −28.6380 | −1.07025 | ||||||||
\(717\) | − | 5.99903i | − | 0.224038i | ||||||
\(718\) | 9.07770 | 0.338777 | ||||||||
\(719\) | −32.3389 | −1.20604 | −0.603018 | − | 0.797728i | \(-0.706035\pi\) | ||||
−0.603018 | + | 0.797728i | \(0.706035\pi\) | |||||||
\(720\) | − | 4.03427i | − | 0.150348i | ||||||
\(721\) | − | 4.38199i | − | 0.163194i | ||||||
\(722\) | 4.07467i | 0.151643i | ||||||||
\(723\) | 12.9290i | 0.480835i | ||||||||
\(724\) | −6.13999 | −0.228191 | ||||||||
\(725\) | 5.97758 | 0.222002 | ||||||||
\(726\) | 0.584778i | 0.0217032i | ||||||||
\(727\) | −37.9325 | −1.40684 | −0.703419 | − | 0.710775i | \(-0.748344\pi\) | ||||
−0.703419 | + | 0.710775i | \(0.748344\pi\) | |||||||
\(728\) | 11.2940 | − | 2.86749i | 0.418584 | − | 0.106276i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 2.52570i | 0.0934803i | ||||||||
\(731\) | −18.8847 | −0.698478 | ||||||||
\(732\) | −8.92346 | −0.329821 | ||||||||
\(733\) | − | 16.7917i | − | 0.620217i | −0.950701 | − | 0.310109i | \(-0.899635\pi\) | ||
0.950701 | − | 0.310109i | \(-0.100365\pi\) | |||||||
\(734\) | − | 13.7237i | − | 0.506550i | ||||||
\(735\) | − | 9.21571i | − | 0.339927i | ||||||
\(736\) | − | 3.84899i | − | 0.141876i | ||||||
\(737\) | −8.47197 | −0.312069 | ||||||||
\(738\) | 0.606168 | 0.0223133 | ||||||||
\(739\) | 25.4629i | 0.936668i | 0.883551 | + | 0.468334i | \(0.155146\pi\) | ||||
−0.883551 | + | 0.468334i | \(0.844854\pi\) | |||||||
\(740\) | 6.74225 | 0.247850 | ||||||||
\(741\) | −4.52146 | − | 17.8084i | −0.166100 | − | 0.654208i | ||||
\(742\) | 0.444164 | 0.0163058 | ||||||||
\(743\) | − | 4.81269i | − | 0.176560i | −0.996096 | − | 0.0882802i | \(-0.971863\pi\) | ||
0.996096 | − | 0.0882802i | \(-0.0281371\pi\) | |||||||
\(744\) | 15.5506 | 0.570114 | ||||||||
\(745\) | −0.314543 | −0.0115240 | ||||||||
\(746\) | − | 7.20574i | − | 0.263821i | ||||||
\(747\) | 14.5137i | 0.531027i | ||||||||
\(748\) | 5.70692i | 0.208666i | ||||||||
\(749\) | 3.46324i | 0.126544i | ||||||||
\(750\) | −7.06420 | −0.257948 | ||||||||
\(751\) | 24.9537 | 0.910574 | 0.455287 | − | 0.890345i | \(-0.349537\pi\) | ||||
0.455287 | + | 0.890345i | \(0.349537\pi\) | |||||||
\(752\) | − | 7.74895i | − | 0.282575i | ||||||
\(753\) | 23.9724 | 0.873603 | ||||||||
\(754\) | 2.61993 | + | 10.3189i | 0.0954122 | + | 0.375794i | ||||
\(755\) | −31.8629 | −1.15961 | ||||||||
\(756\) | − | 2.50493i | − | 0.0911035i | ||||||
\(757\) | −33.8373 | −1.22984 | −0.614919 | − | 0.788591i | \(-0.710811\pi\) | ||||
−0.614919 | + | 0.788591i | \(0.710811\pi\) | |||||||
\(758\) | −13.3736 | −0.485752 | ||||||||
\(759\) | − | 0.701611i | − | 0.0254669i | ||||||
\(760\) | − | 21.2947i | − | 0.772440i | ||||||
\(761\) | − | 50.5981i | − | 1.83418i | −0.398679 | − | 0.917091i | \(-0.630531\pi\) | ||
0.398679 | − | 0.917091i | \(-0.369469\pi\) | |||||||
\(762\) | 2.95363i | 0.106999i | ||||||||
\(763\) | 19.4617 | 0.704561 | ||||||||
\(764\) | −34.1984 | −1.23725 | ||||||||
\(765\) | 6.72392i | 0.243104i | ||||||||
\(766\) | −20.7748 | −0.750624 | ||||||||
\(767\) | −2.35150 | − | 9.26169i | −0.0849076 | − | 0.334420i | ||||
\(768\) | −4.88701 | −0.176345 | ||||||||
\(769\) | − | 26.1333i | − | 0.942389i | −0.882029 | − | 0.471195i | \(-0.843823\pi\) | ||
0.882029 | − | 0.471195i | \(-0.156177\pi\) | |||||||
\(770\) | 1.72587 | 0.0621960 | ||||||||
\(771\) | −16.3441 | −0.588618 | ||||||||
\(772\) | − | 31.2497i | − | 1.12470i | ||||||
\(773\) | 0.778578i | 0.0280035i | 0.999902 | + | 0.0140018i | \(0.00445704\pi\) | ||||
−0.999902 | + | 0.0140018i | \(0.995543\pi\) | |||||||
\(774\) | − | 3.20844i | − | 0.115325i | ||||||
\(775\) | 8.60591i | 0.309133i | ||||||||
\(776\) | 31.0358 | 1.11412 | ||||||||
\(777\) | 3.14485 | 0.112821 | ||||||||
\(778\) | − | 1.56179i | − | 0.0559930i | ||||||
\(779\) | −5.28226 | −0.189257 | ||||||||
\(780\) | 2.87388 | + | 11.3192i | 0.102901 | + | 0.405291i | ||||
\(781\) | −2.31533 | −0.0828490 | ||||||||
\(782\) | 1.41220i | 0.0505002i | ||||||||
\(783\) | 5.04937 | 0.180450 | ||||||||
\(784\) | 9.74239 | 0.347942 | ||||||||
\(785\) | 27.7772i | 0.991411i | ||||||||
\(786\) | − | 9.34313i | − | 0.333258i | ||||||
\(787\) | 33.9128i | 1.20886i | 0.796658 | + | 0.604431i | \(0.206599\pi\) | ||||
−0.796658 | + | 0.604431i | \(0.793401\pi\) | |||||||
\(788\) | − | 11.9108i | − | 0.424305i | ||||||
\(789\) | 10.1510 | 0.361384 | ||||||||
\(790\) | 6.33544 | 0.225405 | ||||||||
\(791\) | 19.0772i |