Newspace parameters
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(4.82290067918\) |
Analytic rank: | \(0\) |
Dimension: | \(38\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 119.3 | ||
Character | \(\chi\) | \(=\) | 177.119 |
Dual form | 177.3.b.a.119.36 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 3.55815i | − | 1.77908i | −0.456860 | − | 0.889539i | \(-0.651026\pi\) | ||
0.456860 | − | 0.889539i | \(-0.348974\pi\) | |||||||
\(3\) | −1.69290 | − | 2.47671i | −0.564299 | − | 0.825570i | ||||
\(4\) | −8.66046 | −2.16512 | ||||||||
\(5\) | 6.82324i | 1.36465i | 0.731049 | + | 0.682324i | \(0.239031\pi\) | ||||
−0.731049 | + | 0.682324i | \(0.760969\pi\) | |||||||
\(6\) | −8.81252 | + | 6.02359i | −1.46875 | + | 1.00393i | ||||
\(7\) | 0.148532 | 0.0212189 | 0.0106094 | − | 0.999944i | \(-0.496623\pi\) | ||||
0.0106094 | + | 0.999944i | \(0.496623\pi\) | |||||||
\(8\) | 16.5826i | 2.07283i | ||||||||
\(9\) | −3.26820 | + | 8.38564i | −0.363133 | + | 0.931737i | ||||
\(10\) | 24.2782 | 2.42782 | ||||||||
\(11\) | − | 1.80659i | − | 0.164235i | −0.996623 | − | 0.0821177i | \(-0.973832\pi\) | ||
0.996623 | − | 0.0821177i | \(-0.0261684\pi\) | |||||||
\(12\) | 14.6613 | + | 21.4495i | 1.22177 | + | 1.78745i | ||||
\(13\) | −17.1364 | −1.31818 | −0.659091 | − | 0.752064i | \(-0.729059\pi\) | ||||
−0.659091 | + | 0.752064i | \(0.729059\pi\) | |||||||
\(14\) | − | 0.528501i | − | 0.0377500i | ||||||
\(15\) | 16.8992 | − | 11.5511i | 1.12661 | − | 0.770070i | ||||
\(16\) | 24.3617 | 1.52261 | ||||||||
\(17\) | 18.3201i | 1.07765i | 0.842417 | + | 0.538826i | \(0.181132\pi\) | ||||
−0.842417 | + | 0.538826i | \(0.818868\pi\) | |||||||
\(18\) | 29.8374 | + | 11.6287i | 1.65763 | + | 0.646041i | ||||
\(19\) | −19.6285 | −1.03308 | −0.516539 | − | 0.856264i | \(-0.672780\pi\) | ||||
−0.516539 | + | 0.856264i | \(0.672780\pi\) | |||||||
\(20\) | − | 59.0924i | − | 2.95462i | ||||||
\(21\) | −0.251450 | − | 0.367871i | −0.0119738 | − | 0.0175177i | ||||
\(22\) | −6.42813 | −0.292188 | ||||||||
\(23\) | − | 40.3036i | − | 1.75233i | −0.482012 | − | 0.876165i | \(-0.660094\pi\) | ||
0.482012 | − | 0.876165i | \(-0.339906\pi\) | |||||||
\(24\) | 41.0704 | − | 28.0727i | 1.71127 | − | 1.16970i | ||||
\(25\) | −21.5567 | −0.862267 | ||||||||
\(26\) | 60.9738i | 2.34515i | ||||||||
\(27\) | 26.3015 | − | 6.10165i | 0.974130 | − | 0.225987i | ||||
\(28\) | −1.28636 | −0.0459413 | ||||||||
\(29\) | 33.8473i | 1.16715i | 0.812060 | + | 0.583574i | \(0.198346\pi\) | ||||
−0.812060 | + | 0.583574i | \(0.801654\pi\) | |||||||
\(30\) | −41.1004 | − | 60.1300i | −1.37001 | − | 2.00433i | ||||
\(31\) | −46.0774 | −1.48637 | −0.743184 | − | 0.669087i | \(-0.766685\pi\) | ||||
−0.743184 | + | 0.669087i | \(0.766685\pi\) | |||||||
\(32\) | − | 20.3523i | − | 0.636008i | ||||||
\(33\) | −4.47440 | + | 3.05837i | −0.135588 | + | 0.0926779i | ||||
\(34\) | 65.1857 | 1.91723 | ||||||||
\(35\) | 1.01347i | 0.0289563i | ||||||||
\(36\) | 28.3041 | − | 72.6235i | 0.786224 | − | 2.01732i | ||||
\(37\) | 40.6329 | 1.09819 | 0.549093 | − | 0.835761i | \(-0.314973\pi\) | ||||
0.549093 | + | 0.835761i | \(0.314973\pi\) | |||||||
\(38\) | 69.8412i | 1.83793i | ||||||||
\(39\) | 29.0101 | + | 42.4418i | 0.743849 | + | 1.08825i | ||||
\(40\) | −113.147 | −2.82868 | ||||||||
\(41\) | − | 21.3927i | − | 0.521772i | −0.965370 | − | 0.260886i | \(-0.915985\pi\) | ||
0.965370 | − | 0.260886i | \(-0.0840147\pi\) | |||||||
\(42\) | −1.30894 | + | 0.894697i | −0.0311653 | + | 0.0213023i | ||||
\(43\) | 4.07233 | 0.0947053 | 0.0473527 | − | 0.998878i | \(-0.484922\pi\) | ||||
0.0473527 | + | 0.998878i | \(0.484922\pi\) | |||||||
\(44\) | 15.6459i | 0.355589i | ||||||||
\(45\) | −57.2172 | − | 22.2997i | −1.27149 | − | 0.495549i | ||||
\(46\) | −143.406 | −3.11753 | ||||||||
\(47\) | 45.7277i | 0.972930i | 0.873700 | + | 0.486465i | \(0.161714\pi\) | ||||
−0.873700 | + | 0.486465i | \(0.838286\pi\) | |||||||
\(48\) | −41.2419 | − | 60.3370i | −0.859207 | − | 1.25702i | ||||
\(49\) | −48.9779 | −0.999550 | ||||||||
\(50\) | 76.7019i | 1.53404i | ||||||||
\(51\) | 45.3736 | − | 31.0140i | 0.889678 | − | 0.608118i | ||||
\(52\) | 148.409 | 2.85401 | ||||||||
\(53\) | 29.4395i | 0.555462i | 0.960659 | + | 0.277731i | \(0.0895823\pi\) | ||||
−0.960659 | + | 0.277731i | \(0.910418\pi\) | |||||||
\(54\) | −21.7106 | − | 93.5849i | −0.402048 | − | 1.73305i | ||||
\(55\) | 12.3268 | 0.224124 | ||||||||
\(56\) | 2.46306i | 0.0439831i | ||||||||
\(57\) | 33.2290 | + | 48.6141i | 0.582965 | + | 0.852879i | ||||
\(58\) | 120.434 | 2.07645 | ||||||||
\(59\) | − | 7.68115i | − | 0.130189i | ||||||
\(60\) | −146.355 | + | 100.037i | −2.43925 | + | 1.66729i | ||||
\(61\) | −28.5354 | −0.467793 | −0.233897 | − | 0.972261i | \(-0.575148\pi\) | ||||
−0.233897 | + | 0.972261i | \(0.575148\pi\) | |||||||
\(62\) | 163.950i | 2.64436i | ||||||||
\(63\) | −0.485432 | + | 1.24554i | −0.00770528 | + | 0.0197704i | ||||
\(64\) | 25.0305 | 0.391101 | ||||||||
\(65\) | − | 116.926i | − | 1.79885i | ||||||
\(66\) | 10.8822 | + | 15.9206i | 0.164881 | + | 0.241221i | ||||
\(67\) | −6.55405 | −0.0978217 | −0.0489108 | − | 0.998803i | \(-0.515575\pi\) | ||||
−0.0489108 | + | 0.998803i | \(0.515575\pi\) | |||||||
\(68\) | − | 158.660i | − | 2.33324i | ||||||
\(69\) | −99.8203 | + | 68.2298i | −1.44667 | + | 0.988838i | ||||
\(70\) | 3.60609 | 0.0515155 | ||||||||
\(71\) | 11.4894i | 0.161823i | 0.996721 | + | 0.0809115i | \(0.0257831\pi\) | ||||
−0.996721 | + | 0.0809115i | \(0.974217\pi\) | |||||||
\(72\) | −139.056 | − | 54.1953i | −1.93133 | − | 0.752712i | ||||
\(73\) | −113.523 | −1.55510 | −0.777552 | − | 0.628818i | \(-0.783539\pi\) | ||||
−0.777552 | + | 0.628818i | \(0.783539\pi\) | |||||||
\(74\) | − | 144.578i | − | 1.95376i | ||||||
\(75\) | 36.4932 | + | 53.3896i | 0.486576 | + | 0.711862i | ||||
\(76\) | 169.992 | 2.23673 | ||||||||
\(77\) | − | 0.268337i | − | 0.00348489i | ||||||
\(78\) | 151.014 | − | 103.222i | 1.93608 | − | 1.32336i | ||||
\(79\) | −32.0057 | −0.405135 | −0.202568 | − | 0.979268i | \(-0.564929\pi\) | ||||
−0.202568 | + | 0.979268i | \(0.564929\pi\) | |||||||
\(80\) | 166.226i | 2.07783i | ||||||||
\(81\) | −59.6378 | − | 54.8118i | −0.736269 | − | 0.676689i | ||||
\(82\) | −76.1184 | −0.928273 | ||||||||
\(83\) | − | 145.911i | − | 1.75797i | −0.476854 | − | 0.878983i | \(-0.658223\pi\) | ||
0.476854 | − | 0.878983i | \(-0.341777\pi\) | |||||||
\(84\) | 2.17767 | + | 3.18594i | 0.0259247 | + | 0.0379278i | ||||
\(85\) | −125.002 | −1.47062 | ||||||||
\(86\) | − | 14.4900i | − | 0.168488i | ||||||
\(87\) | 83.8300 | − | 57.3000i | 0.963563 | − | 0.658621i | ||||
\(88\) | 29.9580 | 0.340432 | ||||||||
\(89\) | − | 148.358i | − | 1.66695i | −0.552560 | − | 0.833473i | \(-0.686349\pi\) | ||
0.552560 | − | 0.833473i | \(-0.313651\pi\) | |||||||
\(90\) | −79.3458 | + | 203.588i | −0.881620 | + | 2.26209i | ||||
\(91\) | −2.54530 | −0.0279703 | ||||||||
\(92\) | 349.048i | 3.79399i | ||||||||
\(93\) | 78.0043 | + | 114.120i | 0.838756 | + | 1.22710i | ||||
\(94\) | 162.706 | 1.73092 | ||||||||
\(95\) | − | 133.930i | − | 1.40979i | ||||||
\(96\) | −50.4066 | + | 34.4543i | −0.525069 | + | 0.358899i | ||||
\(97\) | −133.709 | −1.37844 | −0.689222 | − | 0.724550i | \(-0.742048\pi\) | ||||
−0.689222 | + | 0.724550i | \(0.742048\pi\) | |||||||
\(98\) | 174.271i | 1.77828i | ||||||||
\(99\) | 15.1494 | + | 5.90429i | 0.153024 | + | 0.0596393i | ||||
\(100\) | 186.691 | 1.86691 | ||||||||
\(101\) | − | 98.8253i | − | 0.978468i | −0.872152 | − | 0.489234i | \(-0.837276\pi\) | ||
0.872152 | − | 0.489234i | \(-0.162724\pi\) | |||||||
\(102\) | −110.353 | − | 161.446i | −1.08189 | − | 1.58281i | ||||
\(103\) | 9.65442 | 0.0937322 | 0.0468661 | − | 0.998901i | \(-0.485077\pi\) | ||||
0.0468661 | + | 0.998901i | \(0.485077\pi\) | |||||||
\(104\) | − | 284.166i | − | 2.73236i | ||||||
\(105\) | 2.51008 | − | 1.71570i | 0.0239055 | − | 0.0163400i | ||||
\(106\) | 104.750 | 0.988209 | ||||||||
\(107\) | 179.075i | 1.67360i | 0.547510 | + | 0.836799i | \(0.315576\pi\) | ||||
−0.547510 | + | 0.836799i | \(0.684424\pi\) | |||||||
\(108\) | −227.783 | + | 52.8431i | −2.10910 | + | 0.489288i | ||||
\(109\) | 173.922 | 1.59561 | 0.797805 | − | 0.602915i | \(-0.205994\pi\) | ||||
0.797805 | + | 0.602915i | \(0.205994\pi\) | |||||||
\(110\) | − | 43.8607i | − | 0.398733i | ||||||
\(111\) | −68.7873 | − | 100.636i | −0.619705 | − | 0.906629i | ||||
\(112\) | 3.61850 | 0.0323081 | ||||||||
\(113\) | 119.474i | 1.05729i | 0.848843 | + | 0.528646i | \(0.177300\pi\) | ||||
−0.848843 | + | 0.528646i | \(0.822700\pi\) | |||||||
\(114\) | 172.976 | − | 118.234i | 1.51734 | − | 1.03714i | ||||
\(115\) | 275.001 | 2.39131 | ||||||||
\(116\) | − | 293.133i | − | 2.52701i | ||||||
\(117\) | 56.0050 | − | 143.699i | 0.478675 | − | 1.22820i | ||||
\(118\) | −27.3307 | −0.231616 | ||||||||
\(119\) | 2.72112i | 0.0228666i | ||||||||
\(120\) | 191.547 | + | 280.233i | 1.59622 | + | 2.33528i | ||||
\(121\) | 117.736 | 0.973027 | ||||||||
\(122\) | 101.533i | 0.832241i | ||||||||
\(123\) | −52.9835 | + | 36.2156i | −0.430760 | + | 0.294436i | ||||
\(124\) | 399.051 | 3.21816 | ||||||||
\(125\) | 23.4947i | 0.187958i | ||||||||
\(126\) | 4.43181 | + | 1.72724i | 0.0351731 | + | 0.0137083i | ||||
\(127\) | 4.26470 | 0.0335803 | 0.0167902 | − | 0.999859i | \(-0.494655\pi\) | ||||
0.0167902 | + | 0.999859i | \(0.494655\pi\) | |||||||
\(128\) | − | 170.471i | − | 1.33181i | ||||||
\(129\) | −6.89404 | − | 10.0860i | −0.0534421 | − | 0.0781859i | ||||
\(130\) | −416.039 | −3.20030 | ||||||||
\(131\) | 177.455i | 1.35462i | 0.735697 | + | 0.677311i | \(0.236855\pi\) | ||||
−0.735697 | + | 0.677311i | \(0.763145\pi\) | |||||||
\(132\) | 38.7504 | − | 26.4869i | 0.293563 | − | 0.200658i | ||||
\(133\) | −2.91546 | −0.0219208 | ||||||||
\(134\) | 23.3203i | 0.174032i | ||||||||
\(135\) | 41.6330 | + | 179.462i | 0.308393 | + | 1.32935i | ||||
\(136\) | −303.795 | −2.23379 | ||||||||
\(137\) | 75.8430i | 0.553599i | 0.960928 | + | 0.276799i | \(0.0892737\pi\) | ||||
−0.960928 | + | 0.276799i | \(0.910726\pi\) | |||||||
\(138\) | 242.772 | + | 355.176i | 1.75922 | + | 2.57374i | ||||
\(139\) | −75.6188 | −0.544020 | −0.272010 | − | 0.962294i | \(-0.587688\pi\) | ||||
−0.272010 | + | 0.962294i | \(0.587688\pi\) | |||||||
\(140\) | − | 8.77713i | − | 0.0626938i | ||||||
\(141\) | 113.254 | − | 77.4123i | 0.803222 | − | 0.549024i | ||||
\(142\) | 40.8812 | 0.287896 | ||||||||
\(143\) | 30.9584i | 0.216492i | ||||||||
\(144\) | −79.6189 | + | 204.289i | −0.552909 | + | 1.41867i | ||||
\(145\) | −230.948 | −1.59275 | ||||||||
\(146\) | 403.931i | 2.76665i | ||||||||
\(147\) | 82.9146 | + | 121.304i | 0.564045 | + | 0.825199i | ||||
\(148\) | −351.899 | −2.37770 | ||||||||
\(149\) | − | 186.834i | − | 1.25392i | −0.779051 | − | 0.626960i | \(-0.784299\pi\) | ||
0.779051 | − | 0.626960i | \(-0.215701\pi\) | |||||||
\(150\) | 189.969 | − | 129.849i | 1.26646 | − | 0.865657i | ||||
\(151\) | −59.5580 | −0.394424 | −0.197212 | − | 0.980361i | \(-0.563189\pi\) | ||||
−0.197212 | + | 0.980361i | \(0.563189\pi\) | |||||||
\(152\) | − | 325.492i | − | 2.14140i | ||||||
\(153\) | −153.626 | − | 59.8736i | −1.00409 | − | 0.391331i | ||||
\(154\) | −0.954784 | −0.00619989 | ||||||||
\(155\) | − | 314.397i | − | 2.02837i | ||||||
\(156\) | −251.241 | − | 367.566i | −1.61052 | − | 2.35619i | ||||
\(157\) | 163.179 | 1.03936 | 0.519679 | − | 0.854362i | \(-0.326052\pi\) | ||||
0.519679 | + | 0.854362i | \(0.326052\pi\) | |||||||
\(158\) | 113.881i | 0.720767i | ||||||||
\(159\) | 72.9131 | − | 49.8380i | 0.458573 | − | 0.313447i | ||||
\(160\) | 138.868 | 0.867927 | ||||||||
\(161\) | − | 5.98638i | − | 0.0371825i | ||||||
\(162\) | −195.029 | + | 212.200i | −1.20388 | + | 1.30988i | ||||
\(163\) | 121.738 | 0.746856 | 0.373428 | − | 0.927659i | \(-0.378182\pi\) | ||||
0.373428 | + | 0.927659i | \(0.378182\pi\) | |||||||
\(164\) | 185.270i | 1.12970i | ||||||||
\(165\) | −20.8680 | − | 30.5299i | −0.126473 | − | 0.185030i | ||||
\(166\) | −519.174 | −3.12756 | ||||||||
\(167\) | 53.8804i | 0.322637i | 0.986902 | + | 0.161319i | \(0.0515747\pi\) | ||||
−0.986902 | + | 0.161319i | \(0.948425\pi\) | |||||||
\(168\) | 6.10028 | − | 4.16970i | 0.0363112 | − | 0.0248196i | ||||
\(169\) | 124.655 | 0.737601 | ||||||||
\(170\) | 444.778i | 2.61634i | ||||||||
\(171\) | 64.1497 | − | 164.597i | 0.375145 | − | 0.962558i | ||||
\(172\) | −35.2682 | −0.205048 | ||||||||
\(173\) | − | 116.857i | − | 0.675472i | −0.941241 | − | 0.337736i | \(-0.890339\pi\) | ||
0.941241 | − | 0.337736i | \(-0.109661\pi\) | |||||||
\(174\) | −203.882 | − | 298.280i | −1.17174 | − | 1.71425i | ||||
\(175\) | −3.20186 | −0.0182963 | ||||||||
\(176\) | − | 44.0117i | − | 0.250066i | ||||||
\(177\) | −19.0240 | + | 13.0034i | −0.107480 | + | 0.0734655i | ||||
\(178\) | −527.881 | −2.96563 | ||||||||
\(179\) | 200.408i | 1.11960i | 0.828628 | + | 0.559800i | \(0.189122\pi\) | ||||
−0.828628 | + | 0.559800i | \(0.810878\pi\) | |||||||
\(180\) | 495.528 | + | 193.126i | 2.75293 | + | 1.07292i | ||||
\(181\) | −188.879 | −1.04353 | −0.521765 | − | 0.853089i | \(-0.674726\pi\) | ||||
−0.521765 | + | 0.853089i | \(0.674726\pi\) | |||||||
\(182\) | 9.05657i | 0.0497614i | ||||||||
\(183\) | 48.3075 | + | 70.6739i | 0.263975 | + | 0.386196i | ||||
\(184\) | 668.340 | 3.63228 | ||||||||
\(185\) | 277.248i | 1.49864i | ||||||||
\(186\) | 406.058 | − | 277.551i | 2.18311 | − | 1.49221i | ||||
\(187\) | 33.0969 | 0.176989 | ||||||||
\(188\) | − | 396.023i | − | 2.10651i | ||||||
\(189\) | 3.90662 | − | 0.906291i | 0.0206700 | − | 0.00479519i | ||||
\(190\) | −476.543 | −2.50812 | ||||||||
\(191\) | − | 334.562i | − | 1.75163i | −0.482646 | − | 0.875816i | \(-0.660324\pi\) | ||
0.482646 | − | 0.875816i | \(-0.339676\pi\) | |||||||
\(192\) | −42.3740 | − | 61.9933i | −0.220698 | − | 0.322882i | ||||
\(193\) | 258.231 | 1.33798 | 0.668991 | − | 0.743270i | \(-0.266726\pi\) | ||||
0.668991 | + | 0.743270i | \(0.266726\pi\) | |||||||
\(194\) | 475.757i | 2.45236i | ||||||||
\(195\) | −289.591 | + | 197.943i | −1.48508 | + | 1.01509i | ||||
\(196\) | 424.171 | 2.16414 | ||||||||
\(197\) | 88.8263i | 0.450895i | 0.974255 | + | 0.225447i | \(0.0723844\pi\) | ||||
−0.974255 | + | 0.225447i | \(0.927616\pi\) | |||||||
\(198\) | 21.0084 | − | 53.9039i | 0.106103 | − | 0.272242i | ||||
\(199\) | −49.8385 | −0.250445 | −0.125222 | − | 0.992129i | \(-0.539964\pi\) | ||||
−0.125222 | + | 0.992129i | \(0.539964\pi\) | |||||||
\(200\) | − | 357.466i | − | 1.78733i | ||||||
\(201\) | 11.0953 | + | 16.2325i | 0.0552007 | + | 0.0807587i | ||||
\(202\) | −351.636 | −1.74077 | ||||||||
\(203\) | 5.02742i | 0.0247656i | ||||||||
\(204\) | −392.956 | + | 268.596i | −1.92625 | + | 1.31665i | ||||
\(205\) | 145.967 | 0.712036 | ||||||||
\(206\) | − | 34.3519i | − | 0.166757i | ||||||
\(207\) | 337.971 | + | 131.720i | 1.63271 | + | 0.636328i | ||||
\(208\) | −417.471 | −2.00707 | ||||||||
\(209\) | 35.4606i | 0.169668i | ||||||||
\(210\) | −6.10474 | − | 8.93124i | −0.0290702 | − | 0.0425297i | ||||
\(211\) | −162.127 | −0.768375 | −0.384187 | − | 0.923255i | \(-0.625518\pi\) | ||||
−0.384187 | + | 0.923255i | \(0.625518\pi\) | |||||||
\(212\) | − | 254.959i | − | 1.20264i | ||||||
\(213\) | 28.4560 | − | 19.4504i | 0.133596 | − | 0.0913166i | ||||
\(214\) | 637.176 | 2.97746 | ||||||||
\(215\) | 27.7865i | 0.129240i | ||||||||
\(216\) | 101.181 | + | 436.149i | 0.468432 | + | 2.01921i | ||||
\(217\) | −6.84398 | −0.0315391 | ||||||||
\(218\) | − | 618.840i | − | 2.83871i | ||||||
\(219\) | 192.182 | + | 281.163i | 0.877544 | + | 1.28385i | ||||
\(220\) | −106.756 | −0.485254 | ||||||||
\(221\) | − | 313.939i | − | 1.42054i | ||||||
\(222\) | −358.078 | + | 244.756i | −1.61296 | + | 1.10250i | ||||
\(223\) | −132.740 | −0.595248 | −0.297624 | − | 0.954683i | \(-0.596194\pi\) | ||||
−0.297624 | + | 0.954683i | \(0.596194\pi\) | |||||||
\(224\) | − | 3.02297i | − | 0.0134954i | ||||||
\(225\) | 70.4514 | − | 180.766i | 0.313117 | − | 0.803406i | ||||
\(226\) | 425.107 | 1.88100 | ||||||||
\(227\) | 104.312i | 0.459525i | 0.973247 | + | 0.229762i | \(0.0737949\pi\) | ||||
−0.973247 | + | 0.229762i | \(0.926205\pi\) | |||||||
\(228\) | −287.779 | − | 421.020i | −1.26219 | − | 1.84658i | ||||
\(229\) | 62.2509 | 0.271838 | 0.135919 | − | 0.990720i | \(-0.456601\pi\) | ||||
0.135919 | + | 0.990720i | \(0.456601\pi\) | |||||||
\(230\) | − | 978.496i | − | 4.25433i | ||||||
\(231\) | −0.664593 | + | 0.454267i | −0.00287703 | + | 0.00196652i | ||||
\(232\) | −561.277 | −2.41930 | ||||||||
\(233\) | − | 18.0515i | − | 0.0774742i | −0.999249 | − | 0.0387371i | \(-0.987667\pi\) | ||
0.999249 | − | 0.0387371i | \(-0.0123335\pi\) | |||||||
\(234\) | −511.304 | − | 199.274i | −2.18506 | − | 0.851599i | ||||
\(235\) | −312.011 | −1.32771 | ||||||||
\(236\) | 66.5223i | 0.281874i | ||||||||
\(237\) | 54.1824 | + | 79.2689i | 0.228618 | + | 0.334468i | ||||
\(238\) | 9.68217 | 0.0406814 | ||||||||
\(239\) | 17.4492i | 0.0730091i | 0.999333 | + | 0.0365045i | \(0.0116223\pi\) | ||||
−0.999333 | + | 0.0365045i | \(0.988378\pi\) | |||||||
\(240\) | 411.694 | − | 281.404i | 1.71539 | − | 1.17252i | ||||
\(241\) | −211.523 | −0.877689 | −0.438845 | − | 0.898563i | \(-0.644612\pi\) | ||||
−0.438845 | + | 0.898563i | \(0.644612\pi\) | |||||||
\(242\) | − | 418.924i | − | 1.73109i | ||||||
\(243\) | −34.7923 | + | 240.496i | −0.143178 | + | 0.989697i | ||||
\(244\) | 247.130 | 1.01283 | ||||||||
\(245\) | − | 334.188i | − | 1.36403i | ||||||
\(246\) | 128.861 | + | 188.523i | 0.523824 | + | 0.766355i | ||||
\(247\) | 336.361 | 1.36178 | ||||||||
\(248\) | − | 764.085i | − | 3.08099i | ||||||
\(249\) | −361.380 | + | 247.013i | −1.45132 | + | 0.992018i | ||||
\(250\) | 83.5978 | 0.334391 | ||||||||
\(251\) | 127.331i | 0.507295i | 0.967297 | + | 0.253647i | \(0.0816303\pi\) | ||||
−0.967297 | + | 0.253647i | \(0.918370\pi\) | |||||||
\(252\) | 4.20407 | − | 10.7869i | 0.0166828 | − | 0.0428053i | ||||
\(253\) | −72.8120 | −0.287795 | ||||||||
\(254\) | − | 15.1745i | − | 0.0597419i | ||||||
\(255\) | 211.616 | + | 309.595i | 0.829868 | + | 1.21410i | ||||
\(256\) | −506.441 | −1.97829 | ||||||||
\(257\) | 136.584i | 0.531457i | 0.964048 | + | 0.265729i | \(0.0856125\pi\) | ||||
−0.964048 | + | 0.265729i | \(0.914388\pi\) | |||||||
\(258\) | −35.8875 | + | 24.5300i | −0.139099 | + | 0.0950777i | ||||
\(259\) | 6.03529 | 0.0233023 | ||||||||
\(260\) | 1012.63i | 3.89473i | ||||||||
\(261\) | −283.831 | − | 110.620i | −1.08748 | − | 0.423830i | ||||
\(262\) | 631.414 | 2.40998 | ||||||||
\(263\) | 232.681i | 0.884718i | 0.896838 | + | 0.442359i | \(0.145858\pi\) | ||||
−0.896838 | + | 0.442359i | \(0.854142\pi\) | |||||||
\(264\) | −50.7159 | − | 74.1974i | −0.192106 | − | 0.281051i | ||||
\(265\) | −200.873 | −0.758010 | ||||||||
\(266\) | 10.3737i | 0.0389987i | ||||||||
\(267\) | −367.440 | + | 251.155i | −1.37618 | + | 0.940656i | ||||
\(268\) | 56.7611 | 0.211795 | ||||||||
\(269\) | − | 139.297i | − | 0.517832i | −0.965900 | − | 0.258916i | \(-0.916635\pi\) | ||
0.965900 | − | 0.258916i | \(-0.0833652\pi\) | |||||||
\(270\) | 638.552 | − | 148.137i | 2.36501 | − | 0.548655i | ||||
\(271\) | 340.939 | 1.25808 | 0.629038 | − | 0.777375i | \(-0.283449\pi\) | ||||
0.629038 | + | 0.777375i | \(0.283449\pi\) | |||||||
\(272\) | 446.309i | 1.64084i | ||||||||
\(273\) | 4.30893 | + | 6.30397i | 0.0157836 | + | 0.0230915i | ||||
\(274\) | 269.861 | 0.984895 | ||||||||
\(275\) | 38.9441i | 0.141615i | ||||||||
\(276\) | 864.490 | − | 590.902i | 3.13221 | − | 2.14095i | ||||
\(277\) | −181.171 | −0.654047 | −0.327024 | − | 0.945016i | \(-0.606046\pi\) | ||||
−0.327024 | + | 0.945016i | \(0.606046\pi\) | |||||||
\(278\) | 269.063i | 0.967853i | ||||||||
\(279\) | 150.590 | − | 386.388i | 0.539749 | − | 1.38490i | ||||
\(280\) | −16.8060 | −0.0600215 | ||||||||
\(281\) | 382.735i | 1.36205i | 0.732262 | + | 0.681023i | \(0.238465\pi\) | ||||
−0.732262 | + | 0.681023i | \(0.761535\pi\) | |||||||
\(282\) | −275.445 | − | 402.976i | −0.976755 | − | 1.42899i | ||||
\(283\) | −35.7887 | −0.126462 | −0.0632309 | − | 0.997999i | \(-0.520140\pi\) | ||||
−0.0632309 | + | 0.997999i | \(0.520140\pi\) | |||||||
\(284\) | − | 99.5038i | − | 0.350365i | ||||||
\(285\) | −331.706 | + | 226.730i | −1.16388 | + | 0.795543i | ||||
\(286\) | 110.155 | 0.385156 | ||||||||
\(287\) | − | 3.17750i | − | 0.0110714i | ||||||
\(288\) | 170.667 | + | 66.5151i | 0.592592 | + | 0.230955i | ||||
\(289\) | −46.6255 | −0.161334 | ||||||||
\(290\) | 821.750i | 2.83362i | ||||||||
\(291\) | 226.356 | + | 331.159i | 0.777855 | + | 1.13800i | ||||
\(292\) | 983.158 | 3.36698 | ||||||||
\(293\) | 243.685i | 0.831688i | 0.909436 | + | 0.415844i | \(0.136514\pi\) | ||||
−0.909436 | + | 0.415844i | \(0.863486\pi\) | |||||||
\(294\) | 431.619 | − | 295.023i | 1.46809 | − | 1.00348i | ||||
\(295\) | 52.4103 | 0.177662 | ||||||||
\(296\) | 673.800i | 2.27635i | ||||||||
\(297\) | −11.0232 | − | 47.5161i | −0.0371151 | − | 0.159987i | ||||
\(298\) | −664.785 | −2.23082 | ||||||||
\(299\) | 690.656i | 2.30989i | ||||||||
\(300\) | −316.048 | − | 462.379i | −1.05349 | − | 1.54126i | ||||
\(301\) | 0.604872 | 0.00200954 | ||||||||
\(302\) | 211.917i | 0.701711i | ||||||||
\(303\) | −244.762 | + | 167.301i | −0.807794 | + | 0.552149i | ||||
\(304\) | −478.184 | −1.57297 | ||||||||
\(305\) | − | 194.704i | − | 0.638374i | ||||||
\(306\) | −213.040 | + | 546.623i | −0.696208 | + | 1.78635i | ||||
\(307\) | 153.107 | 0.498718 | 0.249359 | − | 0.968411i | \(-0.419780\pi\) | ||||
0.249359 | + | 0.968411i | \(0.419780\pi\) | |||||||
\(308\) | 2.32392i | 0.00754520i | ||||||||
\(309\) | −16.3439 | − | 23.9112i | −0.0528930 | − | 0.0773825i | ||||
\(310\) | −1118.67 | −3.60863 | ||||||||
\(311\) | − | 173.317i | − | 0.557290i | −0.960394 | − | 0.278645i | \(-0.910115\pi\) | ||
0.960394 | − | 0.278645i | \(-0.0898853\pi\) | |||||||
\(312\) | −703.797 | + | 481.064i | −2.25576 | + | 1.54187i | ||||
\(313\) | 440.611 | 1.40770 | 0.703851 | − | 0.710347i | \(-0.251462\pi\) | ||||
0.703851 | + | 0.710347i | \(0.251462\pi\) | |||||||
\(314\) | − | 580.617i | − | 1.84910i | ||||||
\(315\) | −8.49860 | − | 3.31222i | −0.0269797 | − | 0.0105150i | ||||
\(316\) | 277.184 | 0.877165 | ||||||||
\(317\) | 122.299i | 0.385800i | 0.981218 | + | 0.192900i | \(0.0617894\pi\) | ||||
−0.981218 | + | 0.192900i | \(0.938211\pi\) | |||||||
\(318\) | −177.331 | − | 259.436i | −0.557646 | − | 0.815836i | ||||
\(319\) | 61.1482 | 0.191687 | ||||||||
\(320\) | 170.789i | 0.533716i | ||||||||
\(321\) | 443.517 | − | 303.156i | 1.38167 | − | 0.944410i | ||||
\(322\) | −21.3005 | −0.0661505 | ||||||||
\(323\) | − | 359.596i | − | 1.11330i | ||||||
\(324\) | 516.491 | + | 474.695i | 1.59411 | + | 1.46511i | ||||
\(325\) | 369.403 | 1.13662 | ||||||||
\(326\) | − | 433.161i | − | 1.32872i | ||||||
\(327\) | −294.431 | − | 430.753i | −0.900402 | − | 1.31729i | ||||
\(328\) | 354.747 | 1.08155 | ||||||||
\(329\) | 6.79204i | 0.0206445i | ||||||||
\(330\) | −108.630 | + | 74.2516i | −0.329182 | + | 0.225005i | ||||
\(331\) | 198.661 | 0.600183 | 0.300092 | − | 0.953910i | \(-0.402983\pi\) | ||||
0.300092 | + | 0.953910i | \(0.402983\pi\) | |||||||
\(332\) | 1263.66i | 3.80620i | ||||||||
\(333\) | −132.796 | + | 340.732i | −0.398787 | + | 1.02322i | ||||
\(334\) | 191.715 | 0.573996 | ||||||||
\(335\) | − | 44.7199i | − | 0.133492i | ||||||
\(336\) | −6.12575 | − | 8.96198i | −0.0182314 | − | 0.0266726i | ||||
\(337\) | −31.0112 | −0.0920215 | −0.0460108 | − | 0.998941i | \(-0.514651\pi\) | ||||
−0.0460108 | + | 0.998941i | \(0.514651\pi\) | |||||||
\(338\) | − | 443.540i | − | 1.31225i | ||||||
\(339\) | 295.902 | − | 202.257i | 0.872868 | − | 0.596629i | ||||
\(340\) | 1082.58 | 3.18405 | ||||||||
\(341\) | 83.2430i | 0.244114i | ||||||||
\(342\) | −585.663 | − | 228.255i | −1.71246 | − | 0.667411i | ||||
\(343\) | −14.5529 | −0.0424282 | ||||||||
\(344\) | 67.5300i | 0.196308i | ||||||||
\(345\) | −465.549 | − | 681.098i | −1.34942 | − | 1.97420i | ||||
\(346\) | −415.794 | −1.20172 | ||||||||
\(347\) | − | 384.717i | − | 1.10869i | −0.832286 | − | 0.554347i | \(-0.812968\pi\) | ||
0.832286 | − | 0.554347i | \(-0.187032\pi\) | |||||||
\(348\) | −726.006 | + | 496.245i | −2.08622 | + | 1.42599i | ||||
\(349\) | 122.340 | 0.350545 | 0.175273 | − | 0.984520i | \(-0.443919\pi\) | ||||
0.175273 | + | 0.984520i | \(0.443919\pi\) | |||||||
\(350\) | 11.3927i | 0.0325506i | ||||||||
\(351\) | −450.712 | + | 104.560i | −1.28408 | + | 0.297892i | ||||
\(352\) | −36.7682 | −0.104455 | ||||||||
\(353\) | 659.650i | 1.86870i | 0.356360 | + | 0.934349i | \(0.384018\pi\) | ||||
−0.356360 | + | 0.934349i | \(0.615982\pi\) | |||||||
\(354\) | 46.2681 | + | 67.6902i | 0.130701 | + | 0.191215i | ||||
\(355\) | −78.3952 | −0.220832 | ||||||||
\(356\) | 1284.85i | 3.60913i | ||||||||
\(357\) | 6.73944 | − | 4.60658i | 0.0188780 | − | 0.0129036i | ||||
\(358\) | 713.084 | 1.99186 | ||||||||
\(359\) | − | 107.767i | − | 0.300186i | −0.988672 | − | 0.150093i | \(-0.952043\pi\) | ||
0.988672 | − | 0.150093i | \(-0.0479573\pi\) | |||||||
\(360\) | 369.788 | − | 948.813i | 1.02719 | − | 2.63559i | ||||
\(361\) | 24.2775 | 0.0672507 | ||||||||
\(362\) | 672.061i | 1.85652i | ||||||||
\(363\) | −199.315 | − | 291.599i | −0.549078 | − | 0.803302i | ||||
\(364\) | 22.0435 | 0.0605590 | ||||||||
\(365\) | − | 774.593i | − | 2.12217i | ||||||
\(366\) | 251.469 | − | 171.886i | 0.687073 | − | 0.469633i | ||||
\(367\) | −606.039 | −1.65133 | −0.825666 | − | 0.564159i | \(-0.809201\pi\) | ||||
−0.825666 | + | 0.564159i | \(0.809201\pi\) | |||||||
\(368\) | − | 981.865i | − | 2.66811i | ||||||
\(369\) | 179.391 | + | 69.9154i | 0.486155 | + | 0.189473i | ||||
\(370\) | 986.491 | 2.66619 | ||||||||
\(371\) | 4.37271i | 0.0117863i | ||||||||
\(372\) | −675.553 | − | 988.335i | −1.81600 | − | 2.65681i | ||||
\(373\) | −42.6708 | −0.114399 | −0.0571995 | − | 0.998363i | \(-0.518217\pi\) | ||||
−0.0571995 | + | 0.998363i | \(0.518217\pi\) | |||||||
\(374\) | − | 117.764i | − | 0.314877i | ||||||
\(375\) | 58.1896 | − | 39.7742i | 0.155172 | − | 0.106064i | ||||
\(376\) | −758.286 | −2.01672 | ||||||||
\(377\) | − | 580.019i | − | 1.53851i | ||||||
\(378\) | −3.22472 | − | 13.9004i | −0.00853102 | − | 0.0367735i | ||||
\(379\) | −548.047 | −1.44604 | −0.723018 | − | 0.690830i | \(-0.757245\pi\) | ||||
−0.723018 | + | 0.690830i | \(0.757245\pi\) | |||||||
\(380\) | 1159.90i | 3.05236i | ||||||||
\(381\) | −7.21970 | − | 10.5624i | −0.0189493 | − | 0.0277229i | ||||
\(382\) | −1190.42 | −3.11629 | ||||||||
\(383\) | − | 435.197i | − | 1.13628i | −0.822931 | − | 0.568142i | \(-0.807663\pi\) | ||
0.822931 | − | 0.568142i | \(-0.192337\pi\) | |||||||
\(384\) | −422.208 | + | 288.590i | −1.09950 | + | 0.751538i | ||||
\(385\) | 1.83093 | 0.00475566 | ||||||||
\(386\) | − | 918.824i | − | 2.38037i | ||||||
\(387\) | −13.3092 | + | 34.1491i | −0.0343906 | + | 0.0882405i | ||||
\(388\) | 1157.98 | 2.98449 | ||||||||
\(389\) | 227.077i | 0.583746i | 0.956457 | + | 0.291873i | \(0.0942784\pi\) | ||||
−0.956457 | + | 0.291873i | \(0.905722\pi\) | |||||||
\(390\) | 704.312 | + | 1030.41i | 1.80593 | + | 2.64207i | ||||
\(391\) | 738.365 | 1.88840 | ||||||||
\(392\) | − | 812.183i | − | 2.07190i | ||||||
\(393\) | 439.506 | − | 300.414i | 1.11834 | − | 0.764412i | ||||
\(394\) | 316.058 | 0.802177 | ||||||||
\(395\) | − | 218.383i | − | 0.552868i | ||||||
\(396\) | −131.201 | − | 51.1339i | −0.331315 | − | 0.129126i | ||||
\(397\) | 740.164 | 1.86439 | 0.932197 | − | 0.361952i | \(-0.117890\pi\) | ||||
0.932197 | + | 0.361952i | \(0.117890\pi\) | |||||||
\(398\) | 177.333i | 0.445560i | ||||||||
\(399\) | 4.93558 | + | 7.22076i | 0.0123699 | + | 0.0180971i | ||||
\(400\) | −525.158 | −1.31289 | ||||||||
\(401\) | 306.471i | 0.764268i | 0.924107 | + | 0.382134i | \(0.124811\pi\) | ||||
−0.924107 | + | 0.382134i | \(0.875189\pi\) | |||||||
\(402\) | 57.7577 | − | 39.4789i | 0.143676 | − | 0.0982063i | ||||
\(403\) | 789.599 | 1.95930 | ||||||||
\(404\) | 855.873i | 2.11850i | ||||||||
\(405\) | 373.994 | − | 406.923i | 0.923443 | − | 1.00475i | ||||
\(406\) | 17.8883 | 0.0440599 | ||||||||
\(407\) | − | 73.4069i | − | 0.180361i | ||||||
\(408\) | 514.294 | + | 752.413i | 1.26053 | + | 1.84415i | ||||
\(409\) | −572.519 | −1.39980 | −0.699901 | − | 0.714240i | \(-0.746772\pi\) | ||||
−0.699901 | + | 0.714240i | \(0.746772\pi\) | |||||||
\(410\) | − | 519.374i | − | 1.26677i | ||||||
\(411\) | 187.841 | − | 128.394i | 0.457035 | − | 0.312395i | ||||
\(412\) | −83.6117 | −0.202941 | ||||||||
\(413\) | − | 1.14090i | − | 0.00276246i | ||||||
\(414\) | 468.680 | − | 1202.55i | 1.13208 | − | 2.90472i | ||||
\(415\) | 995.587 | 2.39901 | ||||||||
\(416\) | 348.763i | 0.838374i | ||||||||
\(417\) | 128.015 | + | 187.286i | 0.306990 | + | 0.449127i | ||||
\(418\) | 126.174 | 0.301853 | ||||||||
\(419\) | 50.8652i | 0.121397i | 0.998156 | + | 0.0606984i | \(0.0193328\pi\) | ||||
−0.998156 | + | 0.0606984i | \(0.980667\pi\) | |||||||
\(420\) | −21.7384 | + | 14.8588i | −0.0517581 | + | 0.0353781i | ||||
\(421\) | −320.698 | −0.761753 | −0.380876 | − | 0.924626i | \(-0.624378\pi\) | ||||
−0.380876 | + | 0.924626i | \(0.624378\pi\) | |||||||
\(422\) | 576.873i | 1.36700i | ||||||||
\(423\) | −383.456 | − | 149.447i | −0.906515 | − | 0.353303i | ||||
\(424\) | −488.184 | −1.15138 | ||||||||
\(425\) | − | 394.920i | − | 0.929223i | ||||||
\(426\) | −69.2076 | − | 101.251i | −0.162459 | − | 0.237678i | ||||
\(427\) | −4.23843 | −0.00992606 | ||||||||
\(428\) | − | 1550.87i | − | 3.62353i | ||||||
\(429\) | 76.6749 | − | 52.4093i | 0.178729 | − | 0.122166i | ||||
\(430\) | 98.8686 | 0.229927 | ||||||||
\(431\) | − | 137.310i | − | 0.318584i | −0.987232 | − | 0.159292i | \(-0.949079\pi\) | ||
0.987232 | − | 0.159292i | \(-0.0509211\pi\) | |||||||
\(432\) | 640.751 | − | 148.647i | 1.48322 | − | 0.344090i | ||||
\(433\) | −721.580 | −1.66647 | −0.833233 | − | 0.552921i | \(-0.813513\pi\) | ||||
−0.833233 | + | 0.552921i | \(0.813513\pi\) | |||||||
\(434\) | 24.3519i | 0.0561104i | ||||||||
\(435\) | 390.972 | + | 571.993i | 0.898786 | + | 1.31493i | ||||
\(436\) | −1506.24 | −3.45468 | ||||||||
\(437\) | 791.098i | 1.81029i | ||||||||
\(438\) | 1000.42 | − | 683.814i | 2.28407 | − | 1.56122i | ||||
\(439\) | −288.042 | −0.656132 | −0.328066 | − | 0.944655i | \(-0.606397\pi\) | ||||
−0.328066 | + | 0.944655i | \(0.606397\pi\) | |||||||
\(440\) | 204.411i | 0.464570i | ||||||||
\(441\) | 160.069 | − | 410.711i | 0.362969 | − | 0.931318i | ||||
\(442\) | −1117.05 | −2.52725 | ||||||||
\(443\) | − | 656.684i | − | 1.48236i | −0.671308 | − | 0.741178i | \(-0.734267\pi\) | ||
0.671308 | − | 0.741178i | \(-0.265733\pi\) | |||||||
\(444\) | 595.730 | + | 871.553i | 1.34173 | + | 1.96296i | ||||
\(445\) | 1012.28 | 2.27480 | ||||||||
\(446\) | 472.311i | 1.05899i | ||||||||
\(447\) | −462.734 | + | 316.291i | −1.03520 | + | 0.707586i | ||||
\(448\) | 3.71783 | 0.00829873 | ||||||||
\(449\) | − | 265.029i | − | 0.590266i | −0.955456 | − | 0.295133i | \(-0.904636\pi\) | ||
0.955456 | − | 0.295133i | \(-0.0953640\pi\) | |||||||
\(450\) | −643.195 | − | 250.677i | −1.42932 | − | 0.557060i | ||||
\(451\) | −38.6478 | −0.0856935 | ||||||||
\(452\) | − | 1034.70i | − | 2.28916i | ||||||
\(453\) | 100.826 | + | 147.508i | 0.222573 | + | 0.325625i | ||||
\(454\) | 371.159 | 0.817530 | ||||||||
\(455\) | − | 17.3672i | − | 0.0381697i | ||||||
\(456\) | −806.150 | + | 551.025i | −1.76787 | + | 1.20839i | ||||
\(457\) | −751.980 | −1.64547 | −0.822736 | − | 0.568424i | \(-0.807553\pi\) | ||||
−0.822736 | + | 0.568424i | \(0.807553\pi\) | |||||||
\(458\) | − | 221.498i | − | 0.483621i | ||||||
\(459\) | 111.783 | + | 481.846i | 0.243535 | + | 1.04977i | ||||
\(460\) | −2381.64 | −5.17747 | ||||||||
\(461\) | 342.840i | 0.743689i | 0.928295 | + | 0.371844i | \(0.121274\pi\) | ||||
−0.928295 | + | 0.371844i | \(0.878726\pi\) | |||||||
\(462\) | 1.61635 | + | 2.36472i | 0.00349860 | + | 0.00511845i | ||||
\(463\) | −610.900 | −1.31944 | −0.659719 | − | 0.751512i | \(-0.729325\pi\) | ||||
−0.659719 | + | 0.751512i | \(0.729325\pi\) | |||||||
\(464\) | 824.579i | 1.77711i | ||||||||
\(465\) | −778.671 | + | 532.242i | −1.67456 | + | 1.14461i | ||||
\(466\) | −64.2300 | −0.137833 | ||||||||
\(467\) | − | 70.7483i | − | 0.151495i | −0.997127 | − | 0.0757477i | \(-0.975866\pi\) | ||
0.997127 | − | 0.0757477i | \(-0.0241344\pi\) | |||||||
\(468\) | −485.029 | + | 1244.50i | −1.03639 | + | 2.65919i | ||||
\(469\) | −0.973488 | −0.00207567 | ||||||||
\(470\) | 1110.18i | 2.36209i | ||||||||
\(471\) | −276.246 | − | 404.148i | −0.586509 | − | 0.858063i | ||||
\(472\) | 127.374 | 0.269859 | ||||||||
\(473\) | − | 7.35703i | − | 0.0155540i | ||||||
\(474\) | 282.051 | − | 192.789i | 0.595044 | − | 0.406728i | ||||
\(475\) | 423.125 | 0.890789 | ||||||||
\(476\) | − | 23.5662i | − | 0.0495088i | ||||||
\(477\) | −246.869 | − | 96.2140i | −0.517544 | − | 0.201706i | ||||
\(478\) | 62.0868 | 0.129889 | ||||||||
\(479\) | 86.5788i | 0.180749i | 0.995908 | + | 0.0903746i | \(0.0288064\pi\) | ||||
−0.995908 | + | 0.0903746i | \(0.971194\pi\) | |||||||
\(480\) | −235.090 | − | 343.937i | −0.489771 | − | 0.716535i | ||||
\(481\) | −696.299 | −1.44761 | ||||||||
\(482\) | 752.632i | 1.56148i | ||||||||
\(483\) | −14.8265 | + | 10.1343i | −0.0306968 | + | 0.0209820i | ||||
\(484\) | −1019.65 | −2.10671 | ||||||||
\(485\) | − | 912.330i | − | 1.88109i | ||||||
\(486\) | 855.723 | + | 123.796i | 1.76075 | + | 0.254725i | ||||
\(487\) | 167.140 | 0.343203 | 0.171601 | − | 0.985166i | \(-0.445106\pi\) | ||||
0.171601 | + | 0.985166i | \(0.445106\pi\) | |||||||
\(488\) | − | 473.192i | − | 0.969656i | ||||||
\(489\) | −206.089 | − | 301.509i | −0.421450 | − | 0.616583i | ||||
\(490\) | −1189.09 | −2.42672 | ||||||||
\(491\) | 732.046i | 1.49093i | 0.666546 | + | 0.745464i | \(0.267772\pi\) | ||||
−0.666546 | + | 0.745464i | \(0.732228\pi\) | |||||||
\(492\) | 458.861 | − | 313.644i | 0.932645 | − | 0.637487i | ||||
\(493\) | −620.085 | −1.25778 | ||||||||
\(494\) | − | 1196.82i | − | 2.42272i | ||||||
\(495\) | −40.2864 | + | 103.368i | −0.0813867 | + | 0.208824i | ||||
\(496\) | −1122.53 | −2.26316 | ||||||||
\(497\) | 1.70655i | 0.00343370i | ||||||||
\(498\) | 878.909 | + | 1285.84i | 1.76488 | + | 2.58202i | ||||
\(499\) | 756.899 | 1.51683 | 0.758416 | − | 0.651771i | \(-0.225974\pi\) | ||||
0.758416 | + | 0.651771i | \(0.225974\pi\) | |||||||
\(500\) | − | 203.475i | − | 0.406950i | ||||||
\(501\) | 133.446 | − | 91.2140i | 0.266360 | − | 0.182064i | ||||
\(502\) | 453.063 | 0.902516 | ||||||||
\(503\) | 424.962i | 0.844856i | 0.906397 | + | 0.422428i | \(0.138822\pi\) | ||||
−0.906397 | + | 0.422428i | \(0.861178\pi\) | |||||||
\(504\) | −20.6543 | − | 8.04975i | −0.0409807 | − | 0.0159717i | ||||
\(505\) | 674.309 | 1.33527 | ||||||||
\(506\) | 259.076i | 0.512009i | ||||||||
\(507\) | −211.028 | − | 308.734i | −0.416228 | − | 0.608942i | ||||
\(508\) | −36.9343 | −0.0727052 | ||||||||
\(509\) | − | 163.430i | − | 0.321081i | −0.987029 | − | 0.160540i | \(-0.948676\pi\) | ||
0.987029 | − | 0.160540i | \(-0.0513237\pi\) | |||||||
\(510\) | 1101.59 | − | 752.963i | 2.15997 | − | 1.47640i | ||||
\(511\) | −16.8618 | −0.0329976 | ||||||||
\(512\) | 1120.11i | 2.18772i | ||||||||
\(513\) | −516.259 | + | 119.766i | −1.00635 | + | 0.233462i | ||||
\(514\) | 485.989 | 0.945503 | ||||||||
\(515\) | 65.8744i | 0.127912i | ||||||||
\(516\) | 59.7055 | + | 87.3493i | 0.115708 | + | 0.169282i | ||||
\(517\) | 82.6112 | 0.159790 | ||||||||
\(518\) | − | 21.4745i | − | 0.0414565i | ||||||
\(519\) | −289.420 | + | 197.826i | −0.557650 | + | 0.381168i | ||||
\(520\) | 1938.93 | 3.72872 | ||||||||
\(521\) | − | 643.967i | − | 1.23602i | −0.786169 | − | 0.618011i | \(-0.787939\pi\) | ||
0.786169 | − | 0.618011i | \(-0.212061\pi\) | |||||||
\(522\) | −393.602 | + | 1009.92i | −0.754026 | + | 1.93470i | ||||
\(523\) | 371.188 | 0.709729 | 0.354864 | − | 0.934918i | \(-0.384527\pi\) | ||||
0.354864 | + | 0.934918i | \(0.384527\pi\) | |||||||
\(524\) | − | 1536.85i | − | 2.93291i | ||||||
\(525\) | 5.42042 | + | 7.93008i | 0.0103246 | + | 0.0151049i | ||||
\(526\) | 827.914 | 1.57398 | ||||||||
\(527\) | − | 844.142i | − | 1.60179i | ||||||
\(528\) | −109.004 | + | 74.5072i | −0.206447 | + | 0.141112i | ||||
\(529\) | −1095.38 | −2.07066 | ||||||||
\(530\) | 714.736i | 1.34856i | ||||||||
\(531\) | 64.4113 | + | 25.1035i | 0.121302 | + | 0.0472759i | ||||
\(532\) | 25.2493 | 0.0474610 | ||||||||
\(533\) | 366.592i | 0.687790i | ||||||||
\(534\) | 893.649 | + | 1307.41i | 1.67350 | + | 2.44833i | ||||
\(535\) | −1221.87 | −2.28387 | ||||||||
\(536\) | − | 108.683i | − | 0.202768i | ||||||
\(537\) | 496.354 | − | 339.271i | 0.924309 | − | 0.631790i | ||||
\(538\) | −495.639 | −0.921262 | ||||||||
\(539\) | 88.4831i | 0.164162i | ||||||||
\(540\) | −360.561 | − | 1554.22i | −0.667706 | − | 2.87819i | ||||
\(541\) | 175.446 | 0.324300 | 0.162150 | − | 0.986766i | \(-0.448157\pi\) | ||||
0.162150 | + | 0.986766i | \(0.448157\pi\) | |||||||
\(542\) | − | 1213.11i | − | 2.23821i | ||||||
\(543\) | 319.753 | + | 467.799i | 0.588864 | + | 0.861508i | ||||
\(544\) | 372.855 | 0.685395 | ||||||||
\(545\) | 1186.71i | 2.17745i | ||||||||
\(546\) | 22.4305 | − | 15.3318i | 0.0410815 | − | 0.0280803i | ||||
\(547\) | 209.300 | 0.382632 | 0.191316 | − | 0.981528i | \(-0.438724\pi\) | ||||
0.191316 | + | 0.981528i | \(0.438724\pi\) | |||||||
\(548\) | − | 656.835i | − | 1.19860i | ||||||
\(549\) | 93.2593 | − | 239.288i | 0.169871 | − | 0.435861i | ||||
\(550\) | 138.569 | 0.251944 | ||||||||
\(551\) | − | 664.371i | − | 1.20576i | ||||||
\(552\) | −1131.43 | − | 1655.28i | −2.04969 | − | 2.99870i | ||||
\(553\) | −4.75388 | −0.00859652 | ||||||||
\(554\) | 644.635i | 1.16360i | ||||||||
\(555\) | 686.663 | − | 469.352i | 1.23723 | − | 0.845680i | ||||
\(556\) | 654.893 | 1.17787 | ||||||||
\(557\) | 46.3436i | 0.0832022i | 0.999134 | + | 0.0416011i | \(0.0132459\pi\) | ||||
−0.999134 | + | 0.0416011i | \(0.986754\pi\) | |||||||
\(558\) | −1374.83 | − | 535.822i | −2.46385 | − | 0.960255i | ||||
\(559\) | −69.7849 | −0.124839 | ||||||||
\(560\) | 24.6899i | 0.0440892i | ||||||||
\(561\) | −56.0296 | − | 81.9714i | −0.0998746 | − | 0.146117i | ||||
\(562\) | 1361.83 | 2.42318 | ||||||||
\(563\) | 866.791i | 1.53959i | 0.638290 | + | 0.769796i | \(0.279642\pi\) | ||||
−0.638290 | + | 0.769796i | \(0.720358\pi\) | |||||||
\(564\) | −980.835 | + | 670.426i | −1.73907 | + | 1.18870i | ||||
\(565\) | −815.200 | −1.44283 | ||||||||
\(566\) | 127.342i | 0.224985i | ||||||||
\(567\) | −8.85813 | − | 8.14132i | −0.0156228 | − | 0.0143586i | ||||
\(568\) | −190.525 | −0.335431 | ||||||||
\(569\) | 116.360i | 0.204500i | 0.994759 | + | 0.102250i | \(0.0326041\pi\) | ||||
−0.994759 | + | 0.102250i | \(0.967396\pi\) | |||||||
\(570\) | 806.739 | + | 1180.26i | 1.41533 | + | 2.07063i | ||||
\(571\) | 487.416 | 0.853618 | 0.426809 | − | 0.904342i | \(-0.359638\pi\) | ||||
0.426809 | + | 0.904342i | \(0.359638\pi\) | |||||||
\(572\) | − | 268.114i | − | 0.468730i | ||||||
\(573\) | −828.612 | + | 566.378i | −1.44609 | + | 0.988444i | ||||
\(574\) | −11.3060 | −0.0196969 | ||||||||
\(575\) | 868.811i | 1.51098i | ||||||||
\(576\) | −81.8045 | + | 209.897i | −0.142022 | + | 0.364404i | ||||
\(577\) | 672.310 | 1.16518 | 0.582591 | − | 0.812766i | \(-0.302039\pi\) | ||||
0.582591 | + | 0.812766i | \(0.302039\pi\) | |||||||
\(578\) | 165.901i | 0.287026i | ||||||||
\(579\) | −437.158 | − | 639.563i | −0.755023 | − | 1.10460i | ||||
\(580\) | 2000.12 | 3.44848 | ||||||||
\(581\) | − | 21.6725i | − | 0.0373021i | ||||||
\(582\) | 1178.31 | − | 805.409i | 2.02459 | − | 1.38386i | ||||
\(583\) | 53.1851 | 0.0912265 | ||||||||
\(584\) | − | 1882.50i | − | 3.22347i | ||||||
\(585\) | 980.495 | + | 382.136i | 1.67606 | + | 0.653223i | ||||
\(586\) | 867.067 | 1.47964 | ||||||||
\(587\) | 320.616i | 0.546194i | 0.961986 | + | 0.273097i | \(0.0880480\pi\) | ||||
−0.961986 | + | 0.273097i | \(0.911952\pi\) | |||||||
\(588\) | −718.079 | − | 1050.55i | −1.22122 | − | 1.78665i | ||||
\(589\) | 904.429 | 1.53553 | ||||||||
\(590\) | − | 186.484i | − | 0.316075i | ||||||
\(591\) | 219.997 | − | 150.374i | 0.372245 | − | 0.254440i | ||||
\(592\) | 989.887 | 1.67211 | ||||||||
\(593\) | 779.831i | 1.31506i | 0.753428 | + | 0.657530i | \(0.228399\pi\) | ||||
−0.753428 | + | 0.657530i | \(0.771601\pi\) | |||||||
\(594\) | −169.069 | + | 39.2222i | −0.284629 | + | 0.0660306i | ||||
\(595\) | −18.5669 | −0.0312049 | ||||||||
\(596\) | 1618.07i | 2.71488i | ||||||||
\(597\) | 84.3714 | + | 123.436i | 0.141326 | + | 0.206760i | ||||
\(598\) | 2457.46 | 4.10947 | ||||||||
\(599\) | − | 315.093i | − | 0.526032i | −0.964791 | − | 0.263016i | \(-0.915283\pi\) | ||
0.964791 | − | 0.263016i | \(-0.0847172\pi\) | |||||||
\(600\) | −885.341 | + | 605.154i | −1.47557 | + | 1.00859i | ||||
\(601\) | −474.472 | −0.789470 | −0.394735 | − | 0.918795i | \(-0.629164\pi\) | ||||
−0.394735 | + | 0.918795i | \(0.629164\pi\) | |||||||
\(602\) | − | 2.15223i | − | 0.00357513i | ||||||
\(603\) | 21.4199 | − | 54.9599i | 0.0355223 | − | 0.0911441i | ||||
\(604\) | 515.800 | 0.853973 | ||||||||
\(605\) | 803.343i | 1.32784i | ||||||||
\(606\) | 595.283 | + | 870.900i | 0.982315 | + | 1.43713i | ||||
\(607\) | 368.145 | 0.606500 | 0.303250 | − | 0.952911i | \(-0.401928\pi\) | ||||
0.303250 | + | 0.952911i | \(0.401928\pi\) | |||||||
\(608\) | 399.484i | 0.657046i | ||||||||
\(609\) | 12.4515 | − | 8.51090i | 0.0204457 | − | 0.0139752i | ||||
\(610\) | −692.787 | −1.13572 | ||||||||
\(611\) | − | 783.606i | − | 1.28250i | ||||||
\(612\) | 1330.47 | + | 518.533i | 2.17397 | + | 0.847276i | ||||
\(613\) | 25.3403 | 0.0413382 | 0.0206691 | − | 0.999786i | \(-0.493420\pi\) | ||||
0.0206691 | + | 0.999786i | \(0.493420\pi\) | |||||||
\(614\) | − | 544.777i | − | 0.887259i | ||||||
\(615\) | −247.108 | − | 361.519i | −0.401801 | − | 0.587836i | ||||
\(616\) | 4.44973 | 0.00722359 | ||||||||
\(617\) | − | 410.846i | − | 0.665876i | −0.942949 | − | 0.332938i | \(-0.891960\pi\) | ||
0.942949 | − | 0.332938i | \(-0.108040\pi\) | |||||||
\(618\) | −85.0797 | + | 58.1543i | −0.137669 | + | 0.0941007i | ||||
\(619\) | −652.761 | −1.05454 | −0.527271 | − | 0.849697i | \(-0.676785\pi\) | ||||
−0.527271 | + | 0.849697i | \(0.676785\pi\) | |||||||
\(620\) | 2722.83i | 4.39165i | ||||||||
\(621\) | −245.918 | − | 1060.05i | −0.396004 | − | 1.70700i | ||||
\(622\) | −616.689 | −0.991462 | ||||||||
\(623\) | − | 22.0360i | − | 0.0353707i | ||||||
\(624\) | 706.736 | + | 1033.96i | 1.13259 | + | 1.65698i | ||||
\(625\) | −699.227 | −1.11876 | ||||||||
\(626\) | − | 1567.76i | − | 2.50441i | ||||||
\(627\) | 87.8257 | − | 60.0312i | 0.140073 | − | 0.0957436i | ||||
\(628\) | −1413.21 | −2.25033 | ||||||||
\(629\) | 744.398i | 1.18346i | ||||||||
\(630\) | −11.7854 | + | 30.2393i | −0.0187070 | + | 0.0479990i | ||||
\(631\) | −869.264 | −1.37760 | −0.688799 | − | 0.724952i | \(-0.741862\pi\) | ||||
−0.688799 | + | 0.724952i | \(0.741862\pi\) | |||||||
\(632\) | − | 530.739i | − | 0.839777i | ||||||
\(633\) | 274.465 | + | 401.542i | 0.433593 | + | 0.634347i | ||||
\(634\) | 435.158 | 0.686369 | ||||||||
\(635\) | 29.0991i | 0.0458253i | ||||||||
\(636\) | −631.461 | + | 431.620i | −0.992863 | + | 0.678648i | ||||
\(637\) | 839.303 | 1.31759 | ||||||||
\(638\) | − | 217.575i | − | 0.341026i | ||||||
\(639\) | −96.3462 | − | 37.5497i | −0.150777 | − | 0.0587632i | ||||
\(640\) | 1163.17 | 1.81745 | ||||||||
\(641\) | 252.973i | 0.394653i | 0.980338 | + | 0.197327i | \(0.0632259\pi\) | ||||
−0.980338 | + | 0.197327i | \(0.936774\pi\) | |||||||
\(642\) | −1078.67 | − | 1578.10i | −1.68018 | − | 2.45810i | ||||
\(643\) | −1098.13 | −1.70782 | −0.853910 | − | 0.520421i | \(-0.825775\pi\) | ||||
−0.853910 | + | 0.520421i | \(0.825775\pi\) | |||||||
\(644\) | 51.8448i | 0.0805044i | ||||||||
\(645\) | 68.8191 | − | 47.0397i | 0.106696 | − | 0.0729298i | ||||
\(646\) | −1279.50 | −1.98064 | ||||||||
\(647\) | − | 634.640i | − | 0.980896i | −0.871470 | − | 0.490448i | \(-0.836833\pi\) | ||
0.871470 | − | 0.490448i | \(-0.163167\pi\) | |||||||
\(648\) | 908.924 | − | 988.952i | 1.40266 | − | 1.52616i | ||||
\(649\) | −13.8767 | −0.0213816 | ||||||||
\(650\) | − | 1314.39i | − | 2.02214i | ||||||
\(651\) | 11.5862 | + | 16.9506i | 0.0177975 | + | 0.0260377i | ||||
\(652\) | −1054.30 | −1.61703 | ||||||||
\(653\) | − | 743.777i | − | 1.13901i | −0.821986 | − | 0.569507i | \(-0.807134\pi\) | ||
0.821986 | − | 0.569507i | \(-0.192866\pi\) | |||||||
\(654\) | −1532.69 | + | 1047.63i | −2.34356 | + | 1.60188i | ||||
\(655\) | −1210.82 | −1.84858 | ||||||||
\(656\) | − | 521.162i | − | 0.794455i | ||||||
\(657\) | 371.014 | − | 951.960i | 0.564710 | − | 1.44895i | ||||
\(658\) | 24.1671 | 0.0367281 | ||||||||
\(659\) | − | 9.11578i | − | 0.0138327i | −0.999976 | − | 0.00691637i | \(-0.997798\pi\) | ||
0.999976 | − | 0.00691637i | \(-0.00220157\pi\) | |||||||
\(660\) | 180.727 | + | 264.403i | 0.273828 | + | 0.400611i | ||||
\(661\) | −350.843 | −0.530776 | −0.265388 | − | 0.964142i | \(-0.585500\pi\) | ||||
−0.265388 | + | 0.964142i | \(0.585500\pi\) | |||||||
\(662\) | − | 706.865i | − | 1.06777i | ||||||
\(663\) | −777.537 | + | 531.467i | −1.17276 | + | 0.801610i | ||||
\(664\) | 2419.59 | 3.64396 | ||||||||
\(665\) | − | 19.8929i | − | 0.0299142i | ||||||
\(666\) | 1212.38 | + | 472.509i | 1.82039 | + | 0.709473i | ||||
\(667\) | 1364.17 | 2.04523 | ||||||||
\(668\) | − | 466.629i | − | 0.698547i | ||||||
\(669\) | 224.716 | + | 328.759i | 0.335898 | + | 0.491419i | ||||
\(670\) | −159.120 | −0.237493 | ||||||||
\(671\) | 51.5518i | 0.0768283i | ||||||||
\(672\) | −7.48701 | + | 5.11757i | −0.0111414 | + | 0.00761543i | ||||
\(673\) | −1036.60 | −1.54027 | −0.770134 | − | 0.637882i | \(-0.779811\pi\) | ||||
−0.770134 | + | 0.637882i | \(0.779811\pi\) | |||||||
\(674\) | 110.343i | 0.163713i | ||||||||
\(675\) | −566.973 | + | 131.531i | −0.839960 | + | 0.194861i | ||||
\(676\) | −1079.57 | −1.59699 | ||||||||
\(677\) | 446.603i | 0.659680i | 0.944037 | + | 0.329840i | \(0.106995\pi\) | ||||
−0.944037 | + | 0.329840i | \(0.893005\pi\) | |||||||
\(678\) | −719.662 | − | 1052.87i | −1.06145 | − | 1.55290i | ||||
\(679\) | −19.8601 | −0.0292491 | ||||||||
\(680\) | − | 2072.87i | − | 3.04834i | ||||||
\(681\) | 258.351 | − | 176.590i | 0.379370 | − | 0.259309i | ||||
\(682\) | 296.191 | 0.434298 | ||||||||
\(683\) | 751.761i | 1.10067i | 0.834942 | + | 0.550337i | \(0.185501\pi\) | ||||
−0.834942 | + | 0.550337i | \(0.814499\pi\) | |||||||
\(684\) | −555.566 | + | 1425.49i | −0.812231 | + | 2.08405i | ||||
\(685\) | −517.495 | −0.755468 | ||||||||
\(686\) | 51.7814i | 0.0754831i | ||||||||
\(687\) | −105.384 | − | 154.178i | −0.153398 | − | 0.224422i | ||||
\(688\) | 99.2090 | 0.144199 | ||||||||
\(689\) | − | 504.485i | − | 0.732199i | ||||||
\(690\) | −2423.45 | + | 1656.49i | −3.51225 | + | 2.40072i | ||||
\(691\) | 296.414 | 0.428964 | 0.214482 | − | 0.976728i | \(-0.431194\pi\) | ||||
0.214482 | + | 0.976728i | \(0.431194\pi\) | |||||||
\(692\) | 1012.03i | 1.46247i | ||||||||
\(693\) | 2.25018 | + | 0.876977i | 0.00324701 | + | 0.00126548i | ||||
\(694\) | −1368.88 | −1.97245 | ||||||||
\(695\) | − | 515.965i | − | 0.742396i | ||||||
\(696\) | 950.185 | + | 1390.12i | 1.36521 | + | 1.99730i | ||||
\(697\) | 391.915 | 0.562289 | ||||||||
\(698\) | − | 435.305i | − | 0.623647i | ||||||
\(699\) | −44.7083 | + | 30.5593i | −0.0639604 | + | 0.0437186i | ||||
\(700\) | 27.7296 | 0.0396137 | ||||||||
\(701\) | 317.412i | 0.452799i | 0.974035 | + | 0.226400i | \(0.0726955\pi\) | ||||
−0.974035 | + | 0.226400i | \(0.927304\pi\) | |||||||
\(702\) | 372.041 | + | 1603.70i | 0.529972 | + | 2.28448i | ||||
\(703\) | −797.562 | −1.13451 | ||||||||
\(704\) | − | 45.2198i | − | 0.0642327i | ||||||
\(705\) | 528.203 | + | 772.762i | 0.749224 | + | 1.09612i | ||||
\(706\) | 2347.14 | 3.32456 | ||||||||
\(707\) | − | 14.6787i | − | 0.0207620i | ||||||
\(708\) | 164.756 | − | 112.615i | 0.232707 | − | 0.159061i | ||||
\(709\) | −981.184 | −1.38390 | −0.691950 | − | 0.721946i | \(-0.743248\pi\) | ||||
−0.691950 | + | 0.721946i | \(0.743248\pi\) | |||||||
\(710\) | 278.942i | 0.392876i | ||||||||
\(711\) | 104.601 | − | 268.388i | 0.147118 | − | 0.377480i | ||||
\(712\) | 2460.17 | 3.45530 | ||||||||
\(713\) | 1857.08i | 2.60461i | ||||||||
\(714\) | −16.3909 | − | 23.9800i | −0.0229565 | − | 0.0335854i | ||||
\(715\) | −211.237 | −0.295436 | ||||||||
\(716\) | − | 1735.63i | − | 2.42406i | ||||||
\(717\) | 43.2165 | − | 29.5397i | 0.0602741 | − | 0.0411990i | ||||
\(718\) | −383.450 | −0.534054 | ||||||||
\(719\) | − | 73.9197i | − | 0.102809i | −0.998678 | − | 0.0514045i | \(-0.983630\pi\) | ||
0.998678 | − | 0.0514045i | \(-0.0163698\pi\) | |||||||
\(720\) | −1393.91 | − | 543.259i | −1.93599 | − | 0.754527i | ||||
\(721\) | 1.43399 | 0.00198889 | ||||||||
\(722\) | − | 86.3831i | − | 0.119644i | ||||||
\(723\) | 358.087 | + | 523.882i | 0.495279 | + | 0.724594i | ||||
\(724\) | 1635.78 | 2.25936 | ||||||||
\(725\) | − | 729.635i | − | 1.00639i | ||||||
\(726\) | −1037.55 | + | 709.195i | −1.42914 | + | 0.976852i | ||||
\(727\) | 1232.61 | 1.69547 | 0.847735 | − | 0.530420i | \(-0.177966\pi\) | ||||
0.847735 | + | 0.530420i | \(0.177966\pi\) | |||||||
\(728\) | − | 42.2078i | − | 0.0579777i | ||||||
\(729\) | 654.540 | − | 320.965i | 0.897860 | − | 0.440281i | ||||
\(730\) | −2756.12 | −3.77551 | ||||||||
\(731\) | 74.6054i | 0.102059i | ||||||||
\(732\) | −418.365 | − | 612.069i | −0.571537 | − | 0.836160i | ||||
\(733\) | 325.363 | 0.443878 | 0.221939 | − | 0.975061i | \(-0.428761\pi\) | ||||
0.221939 | + | 0.975061i | \(0.428761\pi\) | |||||||
\(734\) | 2156.38i | 2.93785i | ||||||||
\(735\) | −827.688 | + | 565.747i | −1.12611 | + | 0.769724i | ||||
\(736\) | −820.269 | −1.11450 | ||||||||
\(737\) | 11.8405i | 0.0160658i | ||||||||
\(738\) | 248.770 | − | 638.301i | 0.337086 | − | 0.864907i | ||||
\(739\) | 411.718 | 0.557129 | 0.278564 | − | 0.960418i | \(-0.410141\pi\) | ||||
0.278564 | + | 0.960418i | \(0.410141\pi\) | |||||||
\(740\) | − | 2401.10i | − | 3.24472i | ||||||
\(741\) | −569.424 | − | 833.068i | −0.768454 | − | 1.12425i | ||||
\(742\) | 15.5588 | 0.0209687 | ||||||||
\(743\) | − | 31.6240i | − | 0.0425626i | −0.999774 | − | 0.0212813i | \(-0.993225\pi\) | ||
0.999774 | − | 0.0212813i | \(-0.00677456\pi\) | |||||||
\(744\) | −1892.42 | + | 1293.52i | −2.54357 | + | 1.73860i | ||||
\(745\) | 1274.81 | 1.71116 | ||||||||
\(746\) | 151.829i | 0.203525i | ||||||||
\(747\) | 1223.56 | + | 476.866i | 1.63796 | + | 0.638375i | ||||
\(748\) | −286.634 | −0.383201 | ||||||||
\(749\) | 26.5984i | 0.0355119i | ||||||||
\(750\) | −141.523 | − | 207.048i | −0.188697 | − | 0.276064i | ||||
\(751\) | −827.119 | −1.10136 | −0.550678 | − | 0.834718i | \(-0.685631\pi\) | ||||
−0.550678 | + | 0.834718i | \(0.685631\pi\) | |||||||
\(752\) | 1114.01i | 1.48139i | ||||||||
\(753\) | 315.362 | − | 215.558i | 0.418807 | − | 0.286266i | ||||
\(754\) | −2063.80 | −2.73713 | ||||||||
\(755\) | − | 406.379i | − | 0.538250i | ||||||
\(756\) | −33.8332 | + | 7.84890i | −0.0447528 | + | 0.0103821i | ||||
\(757\) | 422.114 | 0.557615 | 0.278807 | − | 0.960347i | \(-0.410061\pi\) | ||||
0.278807 | + | 0.960347i | \(0.410061\pi\) | |||||||
\(758\) | 1950.04i | 2.57261i | ||||||||
\(759\) | 123.263 | + | 180.334i | 0.162402 | + | 0.237595i | ||||
\(760\) | 2220.91 | 2.92225 | ||||||||
\(761\) | 37.4749i | 0.0492443i | 0.999697 | + | 0.0246222i | \(0.00783827\pi\) | ||||
−0.999697 | + | 0.0246222i | \(0.992162\pi\) | |||||||
\(762\) | −37.5827 | + | 25.6888i | −0.0493212 | + | 0.0337123i | ||||
\(763\) | 25.8330 | 0.0338571 | ||||||||
\(764\) | 2897.46i | 3.79248i | ||||||||
\(765\) | 408.532 | − | 1048.22i | 0.534029 | − | 1.37023i | ||||
\(766\) | −1548.50 | −2.02154 | ||||||||
\(767\) | 131.627i | 0.171613i | ||||||||
\(768\) | 857.353 | + | 1254.31i | 1.11635 | + | 1.63321i | ||||
\(769\) | 162.942 | 0.211888 | 0.105944 | − | 0.994372i | \(-0.466214\pi\) | ||||
0.105944 | + | 0.994372i | \(0.466214\pi\) | |||||||
\(770\) | − | 6.51472i | − | 0.00846068i | ||||||
\(771\) | 338.280 | − | 231.224i | 0.438755 | − | 0.299901i | ||||
\(772\) | −2236.40 | −2.89689 | ||||||||
\(773\) | 817.034i | 1.05697i | 0.848944 | + | 0.528483i | \(0.177239\pi\) | ||||
−0.848944 | + | 0.528483i | \(0.822761\pi\) | |||||||
\(774\) | 121.508 | + | 47.3561i | 0.156987 | + | 0.0611836i | ||||
\(775\) | 993.275 | 1.28164 | ||||||||
\(776\) | − | 2217.25i | − | 2.85728i | ||||||
\(777\) | −10.2171 | − | 14.9477i | −0.0131495 | − | 0.0192377i | ||||
\(778\) | 807.975 | 1.03853 | ||||||||
\(779\) | 419.906i | 0.539032i | ||||||||
\(780\) | 2507.99 | − | 1714.28i | 3.21537 | − | 2.19779i | ||||
\(781\) | 20.7567 | 0.0265771 | ||||||||
\(782\) | − | 2627.22i | − | 3.35961i | ||||||
\(783\) | 206.524 | + | 890.235i | 0.263760 | + | 1.13695i | ||||
\(784\) | −1193.19 | −1.52192 | ||||||||
\(785\) | 1113.41i | 1.41836i | ||||||||
\(786\) | −1068.92 | − | 1563.83i | −1.35995 | − | 1.98960i |