Newspace parameters
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.ba (of order \(6\), degree \(2\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 101.10 | ||
Character | \(\chi\) | \(=\) | 168.101 |
Dual form | 168.2.ba.c.5.10 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.368276 | − | 1.36542i | −0.260410 | − | 0.965498i | ||||
\(3\) | −1.26610 | + | 1.18195i | −0.730981 | + | 0.682398i | ||||
\(4\) | −1.72875 | + | 1.00570i | −0.864373 | + | 0.502851i | ||||
\(5\) | 1.54900 | − | 0.894317i | 0.692735 | − | 0.399951i | −0.111901 | − | 0.993719i | \(-0.535694\pi\) |
0.804636 | + | 0.593769i | \(0.202361\pi\) | |||||||
\(6\) | 2.08013 | + | 1.29347i | 0.849209 | + | 0.528057i | ||||
\(7\) | 2.63573 | − | 0.230049i | 0.996213 | − | 0.0869505i | ||||
\(8\) | 2.00986 | + | 1.99009i | 0.710593 | + | 0.703603i | ||||
\(9\) | 0.206000 | − | 2.99292i | 0.0686667 | − | 0.997640i | ||||
\(10\) | −1.79158 | − | 1.78568i | −0.566547 | − | 0.564683i | ||||
\(11\) | 0.501346 | − | 0.868358i | 0.151162 | − | 0.261820i | −0.780493 | − | 0.625164i | \(-0.785032\pi\) |
0.931655 | + | 0.363345i | \(0.118365\pi\) | |||||||
\(12\) | 1.00007 | − | 3.31660i | 0.288696 | − | 0.957421i | ||||
\(13\) | 2.47302 | 0.685891 | 0.342946 | − | 0.939355i | \(-0.388575\pi\) | ||||
0.342946 | + | 0.939355i | \(0.388575\pi\) | |||||||
\(14\) | −1.28479 | − | 3.51416i | −0.343375 | − | 0.939199i | ||||
\(15\) | −0.904151 | + | 2.96313i | −0.233451 | + | 0.765077i | ||||
\(16\) | 1.97713 | − | 3.47721i | 0.494281 | − | 0.869302i | ||||
\(17\) | 3.32963 | − | 5.76708i | 0.807553 | − | 1.39872i | −0.107001 | − | 0.994259i | \(-0.534125\pi\) |
0.914554 | − | 0.404464i | \(-0.132542\pi\) | |||||||
\(18\) | −4.16246 | + | 0.820942i | −0.981101 | + | 0.193498i | ||||
\(19\) | 1.85941 | + | 3.22059i | 0.426577 | + | 0.738854i | 0.996566 | − | 0.0827988i | \(-0.0263859\pi\) |
−0.569989 | + | 0.821652i | \(0.693053\pi\) | |||||||
\(20\) | −1.77842 | + | 3.10388i | −0.397666 | + | 0.694049i | ||||
\(21\) | −3.06518 | + | 3.40656i | −0.668878 | + | 0.743372i | ||||
\(22\) | −1.37031 | − | 0.364754i | −0.292150 | − | 0.0777658i | ||||
\(23\) | −6.85244 | + | 3.95626i | −1.42883 | + | 0.824936i | −0.997029 | − | 0.0770314i | \(-0.975456\pi\) |
−0.431803 | + | 0.901968i | \(0.642123\pi\) | |||||||
\(24\) | −4.89686 | − | 0.144094i | −0.999567 | − | 0.0294131i | ||||
\(25\) | −0.900394 | + | 1.55953i | −0.180079 | + | 0.311906i | ||||
\(26\) | −0.910752 | − | 3.37671i | −0.178613 | − | 0.662227i | ||||
\(27\) | 3.27666 | + | 4.03281i | 0.630593 | + | 0.776114i | ||||
\(28\) | −4.32515 | + | 3.04846i | −0.817376 | + | 0.576104i | ||||
\(29\) | 0.748403 | 0.138975 | 0.0694875 | − | 0.997583i | \(-0.477864\pi\) | ||||
0.0694875 | + | 0.997583i | \(0.477864\pi\) | |||||||
\(30\) | 4.37890 | + | 0.143297i | 0.799474 | + | 0.0261623i | ||||
\(31\) | 2.87254 | + | 1.65846i | 0.515924 | + | 0.297869i | 0.735265 | − | 0.677779i | \(-0.237058\pi\) |
−0.219341 | + | 0.975648i | \(0.570391\pi\) | |||||||
\(32\) | −5.47598 | − | 1.41904i | −0.968025 | − | 0.250853i | ||||
\(33\) | 0.391600 | + | 1.69199i | 0.0681688 | + | 0.294538i | ||||
\(34\) | −9.10071 | − | 2.42246i | −1.56076 | − | 0.415449i | ||||
\(35\) | 3.87702 | − | 2.71353i | 0.655335 | − | 0.458670i | ||||
\(36\) | 2.65386 | + | 5.38117i | 0.442311 | + | 0.896862i | ||||
\(37\) | −3.22429 | + | 1.86155i | −0.530071 | + | 0.306036i | −0.741045 | − | 0.671455i | \(-0.765670\pi\) |
0.210975 | + | 0.977492i | \(0.432336\pi\) | |||||||
\(38\) | 3.71268 | − | 3.72494i | 0.602277 | − | 0.604265i | ||||
\(39\) | −3.13108 | + | 2.92298i | −0.501374 | + | 0.468051i | ||||
\(40\) | 4.89305 | + | 1.28520i | 0.773659 | + | 0.203208i | ||||
\(41\) | −2.01044 | −0.313978 | −0.156989 | − | 0.987600i | \(-0.550179\pi\) | ||||
−0.156989 | + | 0.987600i | \(0.550179\pi\) | |||||||
\(42\) | 5.78022 | + | 2.93071i | 0.891907 | + | 0.452218i | ||||
\(43\) | − | 9.19651i | − | 1.40245i | −0.712938 | − | 0.701227i | \(-0.752636\pi\) | ||
0.712938 | − | 0.701227i | \(-0.247364\pi\) | |||||||
\(44\) | 0.00660852 | + | 2.00538i | 0.000996272 | + | 0.302322i | ||||
\(45\) | −2.35752 | − | 4.82027i | −0.351439 | − | 0.718563i | ||||
\(46\) | 7.92554 | + | 7.89946i | 1.16856 | + | 1.16471i | ||||
\(47\) | −1.19840 | − | 2.07569i | −0.174805 | − | 0.302771i | 0.765289 | − | 0.643687i | \(-0.222596\pi\) |
−0.940094 | + | 0.340916i | \(0.889263\pi\) | |||||||
\(48\) | 1.60665 | + | 6.73934i | 0.231899 | + | 0.972740i | ||||
\(49\) | 6.89415 | − | 1.21270i | 0.984879 | − | 0.173242i | ||||
\(50\) | 2.46101 | + | 0.655080i | 0.348039 | + | 0.0926423i | ||||
\(51\) | 2.60076 | + | 11.2371i | 0.364179 | + | 1.57351i | ||||
\(52\) | −4.27522 | + | 2.48712i | −0.592866 | + | 0.344901i | ||||
\(53\) | −6.33884 | + | 10.9792i | −0.870707 | + | 1.50811i | −0.00943963 | + | 0.999955i | \(0.503005\pi\) |
−0.861267 | + | 0.508153i | \(0.830329\pi\) | |||||||
\(54\) | 4.29976 | − | 5.95920i | 0.585123 | − | 0.810944i | ||||
\(55\) | − | 1.79345i | − | 0.241829i | ||||||
\(56\) | 5.75527 | + | 4.78297i | 0.769081 | + | 0.639152i | ||||
\(57\) | −6.16075 | − | 1.87985i | −0.816012 | − | 0.248993i | ||||
\(58\) | −0.275619 | − | 1.02188i | −0.0361905 | − | 0.134180i | ||||
\(59\) | −7.34922 | − | 4.24308i | −0.956787 | − | 0.552401i | −0.0616046 | − | 0.998101i | \(-0.519622\pi\) |
−0.895183 | + | 0.445699i | \(0.852955\pi\) | |||||||
\(60\) | −1.41698 | − | 6.03181i | −0.182931 | − | 0.778703i | ||||
\(61\) | −2.02442 | − | 3.50640i | −0.259200 | − | 0.448948i | 0.706828 | − | 0.707386i | \(-0.250126\pi\) |
−0.966028 | + | 0.258438i | \(0.916792\pi\) | |||||||
\(62\) | 1.20661 | − | 4.53300i | 0.153240 | − | 0.575692i | ||||
\(63\) | −0.145558 | − | 7.93592i | −0.0183386 | − | 0.999832i | ||||
\(64\) | 0.0790881 | + | 7.99961i | 0.00988602 | + | 0.999951i | ||||
\(65\) | 3.83071 | − | 2.21166i | 0.475141 | − | 0.274323i | ||||
\(66\) | 2.16606 | − | 1.15782i | 0.266624 | − | 0.142517i | ||||
\(67\) | −6.89843 | − | 3.98281i | −0.842777 | − | 0.486577i | 0.0154303 | − | 0.999881i | \(-0.495088\pi\) |
−0.858207 | + | 0.513303i | \(0.828422\pi\) | |||||||
\(68\) | 0.0438896 | + | 13.3184i | 0.00532240 | + | 1.61510i | ||||
\(69\) | 3.99976 | − | 13.1082i | 0.481514 | − | 1.57804i | ||||
\(70\) | −5.13292 | − | 4.29443i | −0.613501 | − | 0.513283i | ||||
\(71\) | 5.46843i | 0.648984i | 0.945889 | + | 0.324492i | \(0.105193\pi\) | ||||
−0.945889 | + | 0.324492i | \(0.894807\pi\) | |||||||
\(72\) | 6.37021 | − | 5.60539i | 0.750736 | − | 0.660602i | ||||
\(73\) | −5.68546 | − | 3.28250i | −0.665433 | − | 0.384188i | 0.128911 | − | 0.991656i | \(-0.458852\pi\) |
−0.794344 | + | 0.607468i | \(0.792185\pi\) | |||||||
\(74\) | 3.72922 | + | 3.71695i | 0.433513 | + | 0.432087i | ||||
\(75\) | −0.703295 | − | 3.03873i | −0.0812095 | − | 0.350883i | ||||
\(76\) | −6.45340 | − | 3.69757i | −0.740255 | − | 0.424140i | ||||
\(77\) | 1.12165 | − | 2.40409i | 0.127824 | − | 0.273972i | ||||
\(78\) | 5.14419 | + | 3.19878i | 0.582465 | + | 0.362190i | ||||
\(79\) | 2.53988 | + | 4.39920i | 0.285759 | + | 0.494949i | 0.972793 | − | 0.231676i | \(-0.0744210\pi\) |
−0.687034 | + | 0.726625i | \(0.741088\pi\) | |||||||
\(80\) | −0.0471537 | − | 7.15438i | −0.00527194 | − | 0.799884i | ||||
\(81\) | −8.91513 | − | 1.23308i | −0.990570 | − | 0.137009i | ||||
\(82\) | 0.740396 | + | 2.74510i | 0.0817631 | + | 0.303145i | ||||
\(83\) | − | 5.65457i | − | 0.620669i | −0.950627 | − | 0.310335i | \(-0.899559\pi\) | ||
0.950627 | − | 0.310335i | \(-0.100441\pi\) | |||||||
\(84\) | 1.87294 | − | 8.97174i | 0.204354 | − | 0.978897i | ||||
\(85\) | − | 11.9110i | − | 1.29193i | ||||||
\(86\) | −12.5571 | + | 3.38685i | −1.35407 | + | 0.365213i | ||||
\(87\) | −0.947550 | + | 0.884573i | −0.101588 | + | 0.0948362i | ||||
\(88\) | 2.73575 | − | 0.747554i | 0.291632 | − | 0.0796896i | ||||
\(89\) | 7.39495 | + | 12.8084i | 0.783863 | + | 1.35769i | 0.929676 | + | 0.368379i | \(0.120087\pi\) |
−0.145812 | + | 0.989312i | \(0.546580\pi\) | |||||||
\(90\) | −5.71347 | + | 4.99420i | −0.602253 | + | 0.526435i | ||||
\(91\) | 6.51821 | − | 0.568916i | 0.683294 | − | 0.0596386i | ||||
\(92\) | 7.86731 | − | 13.7309i | 0.820223 | − | 1.43154i | ||||
\(93\) | −5.59713 | + | 1.29542i | −0.580396 | + | 0.134329i | ||||
\(94\) | −2.39285 | + | 2.40075i | −0.246804 | + | 0.247619i | ||||
\(95\) | 5.76045 | + | 3.32580i | 0.591010 | + | 0.341220i | ||||
\(96\) | 8.61034 | − | 4.67568i | 0.878789 | − | 0.477210i | ||||
\(97\) | − | 1.75577i | − | 0.178271i | −0.996019 | − | 0.0891356i | \(-0.971590\pi\) | ||
0.996019 | − | 0.0891356i | \(-0.0284105\pi\) | |||||||
\(98\) | −4.19479 | − | 8.96681i | −0.423738 | − | 0.905785i | ||||
\(99\) | −2.49565 | − | 1.67937i | −0.250822 | − | 0.168783i | ||||
\(100\) | −0.0118686 | − | 3.60156i | −0.00118686 | − | 0.360156i | ||||
\(101\) | 12.6803 | + | 7.32100i | 1.26174 | + | 0.728467i | 0.973411 | − | 0.229064i | \(-0.0735667\pi\) |
0.288330 | + | 0.957531i | \(0.406900\pi\) | |||||||
\(102\) | 14.3856 | − | 7.68949i | 1.42439 | − | 0.761373i | ||||
\(103\) | −8.54056 | + | 4.93089i | −0.841526 | + | 0.485855i | −0.857783 | − | 0.514013i | \(-0.828158\pi\) |
0.0162566 | + | 0.999868i | \(0.494825\pi\) | |||||||
\(104\) | 4.97042 | + | 4.92152i | 0.487390 | + | 0.482595i | ||||
\(105\) | −1.70143 | + | 8.01802i | −0.166043 | + | 0.782478i | ||||
\(106\) | 17.3257 | + | 4.61181i | 1.68282 | + | 0.447939i | ||||
\(107\) | −3.48110 | − | 6.02945i | −0.336531 | − | 0.582889i | 0.647247 | − | 0.762281i | \(-0.275920\pi\) |
−0.983778 | + | 0.179392i | \(0.942587\pi\) | |||||||
\(108\) | −9.72031 | − | 3.67635i | −0.935337 | − | 0.353757i | ||||
\(109\) | 2.36373 | + | 1.36470i | 0.226404 | + | 0.130715i | 0.608912 | − | 0.793238i | \(-0.291606\pi\) |
−0.382508 | + | 0.923952i | \(0.624939\pi\) | |||||||
\(110\) | −2.44881 | + | 0.660484i | −0.233485 | + | 0.0629747i | ||||
\(111\) | 1.88202 | − | 6.16785i | 0.178633 | − | 0.585426i | ||||
\(112\) | 4.41124 | − | 9.61982i | 0.416823 | − | 0.908988i | ||||
\(113\) | − | 0.531154i | − | 0.0499667i | −0.999688 | − | 0.0249834i | \(-0.992047\pi\) | ||
0.999688 | − | 0.0249834i | \(-0.00795328\pi\) | |||||||
\(114\) | −0.297933 | + | 9.10432i | −0.0279040 | + | 0.852698i | ||||
\(115\) | −7.07629 | + | 12.2565i | −0.659868 | + | 1.14292i | ||||
\(116\) | −1.29380 | + | 0.752671i | −0.120126 | + | 0.0698837i | ||||
\(117\) | 0.509442 | − | 7.40154i | 0.0470979 | − | 0.684272i | ||||
\(118\) | −3.08704 | + | 11.5974i | −0.284185 | + | 1.06763i | ||||
\(119\) | 7.44929 | − | 15.9665i | 0.682875 | − | 1.46364i | ||||
\(120\) | −7.71411 | + | 4.15614i | −0.704199 | + | 0.379402i | ||||
\(121\) | 4.99730 | + | 8.65558i | 0.454300 | + | 0.786871i | ||||
\(122\) | −4.04216 | + | 4.05550i | −0.365960 | + | 0.367168i | ||||
\(123\) | 2.54541 | − | 2.37623i | 0.229512 | − | 0.214258i | ||||
\(124\) | −6.63382 | + | 0.0218611i | −0.595734 | + | 0.00196319i | ||||
\(125\) | 12.1641i | 1.08799i | ||||||||
\(126\) | −10.7823 | + | 3.12135i | −0.960560 | + | 0.278072i | ||||
\(127\) | −4.52393 | −0.401434 | −0.200717 | − | 0.979649i | \(-0.564327\pi\) | ||||
−0.200717 | + | 0.979649i | \(0.564327\pi\) | |||||||
\(128\) | 10.8937 | − | 3.05405i | 0.962876 | − | 0.269942i | ||||
\(129\) | 10.8698 | + | 11.6437i | 0.957031 | + | 1.02517i | ||||
\(130\) | −4.43060 | − | 4.41603i | −0.388590 | − | 0.387311i | ||||
\(131\) | −13.3927 | + | 7.73228i | −1.17013 | + | 0.675573i | −0.953710 | − | 0.300729i | \(-0.902770\pi\) |
−0.216416 | + | 0.976301i | \(0.569437\pi\) | |||||||
\(132\) | −2.37862 | − | 2.53119i | −0.207032 | − | 0.220312i | ||||
\(133\) | 5.64179 | + | 8.06085i | 0.489205 | + | 0.698964i | ||||
\(134\) | −2.89768 | + | 10.8860i | −0.250322 | + | 0.940409i | ||||
\(135\) | 8.68216 | + | 3.31646i | 0.747241 | + | 0.285435i | ||||
\(136\) | 18.1691 | − | 4.96478i | 1.55799 | − | 0.425727i | ||||
\(137\) | −9.71195 | − | 5.60719i | −0.829748 | − | 0.479055i | 0.0240187 | − | 0.999712i | \(-0.492354\pi\) |
−0.853766 | + | 0.520657i | \(0.825687\pi\) | |||||||
\(138\) | −19.3712 | − | 0.633912i | −1.64899 | − | 0.0539622i | ||||
\(139\) | 17.9824 | 1.52525 | 0.762625 | − | 0.646840i | \(-0.223910\pi\) | ||||
0.762625 | + | 0.646840i | \(0.223910\pi\) | |||||||
\(140\) | −3.97338 | + | 8.59012i | −0.335812 | + | 0.725998i | ||||
\(141\) | 3.97066 | + | 1.21158i | 0.334390 | + | 0.102033i | ||||
\(142\) | 7.46671 | − | 2.01389i | 0.626592 | − | 0.169002i | ||||
\(143\) | 1.23984 | − | 2.14746i | 0.103680 | − | 0.179580i | ||||
\(144\) | −9.99971 | − | 6.63368i | −0.833309 | − | 0.552807i | ||||
\(145\) | 1.15928 | − | 0.669310i | 0.0962728 | − | 0.0555831i | ||||
\(146\) | −2.38818 | + | 8.97191i | −0.197647 | + | 0.742520i | ||||
\(147\) | −7.29532 | + | 9.68392i | −0.601708 | + | 0.798716i | ||||
\(148\) | 3.70182 | − | 6.46082i | 0.304288 | − | 0.531076i | ||||
\(149\) | −0.462495 | − | 0.801066i | −0.0378891 | − | 0.0656258i | 0.846459 | − | 0.532454i | \(-0.178730\pi\) |
−0.884348 | + | 0.466828i | \(0.845397\pi\) | |||||||
\(150\) | −3.89014 | + | 2.07938i | −0.317629 | + | 0.169781i | ||||
\(151\) | 9.56720 | − | 16.5709i | 0.778568 | − | 1.34852i | −0.154200 | − | 0.988040i | \(-0.549280\pi\) |
0.932767 | − | 0.360479i | \(-0.117387\pi\) | |||||||
\(152\) | −2.67211 | + | 10.1733i | −0.216736 | + | 0.825165i | ||||
\(153\) | −16.5745 | − | 11.1533i | −1.33997 | − | 0.901693i | ||||
\(154\) | −3.69567 | − | 0.646154i | −0.297806 | − | 0.0520686i | ||||
\(155\) | 5.93277 | 0.476531 | ||||||||
\(156\) | 2.47319 | − | 8.20201i | 0.198014 | − | 0.656687i | ||||
\(157\) | −5.46873 | + | 9.47212i | −0.436452 | + | 0.755957i | −0.997413 | − | 0.0718851i | \(-0.977099\pi\) |
0.560961 | + | 0.827842i | \(0.310432\pi\) | |||||||
\(158\) | 5.07139 | − | 5.08813i | 0.403458 | − | 0.404790i | ||||
\(159\) | −4.95125 | − | 21.3929i | −0.392659 | − | 1.69657i | ||||
\(160\) | −9.75137 | + | 2.69917i | −0.770914 | + | 0.213388i | ||||
\(161\) | −17.1510 | + | 12.0040i | −1.35169 | + | 0.946050i | ||||
\(162\) | 1.59955 | + | 12.6270i | 0.125672 | + | 0.992072i | ||||
\(163\) | −9.21188 | + | 5.31848i | −0.721530 | + | 0.416576i | −0.815316 | − | 0.579017i | \(-0.803437\pi\) |
0.0937855 | + | 0.995592i | \(0.470103\pi\) | |||||||
\(164\) | 3.47554 | − | 2.02190i | 0.271394 | − | 0.157884i | ||||
\(165\) | 2.11976 | + | 2.27068i | 0.165023 | + | 0.176772i | ||||
\(166\) | −7.72086 | + | 2.08244i | −0.599255 | + | 0.161629i | ||||
\(167\) | 7.93040 | 0.613673 | 0.306836 | − | 0.951762i | \(-0.400730\pi\) | ||||
0.306836 | + | 0.951762i | \(0.400730\pi\) | |||||||
\(168\) | −12.9400 | + | 0.746727i | −0.998339 | + | 0.0576112i | ||||
\(169\) | −6.88419 | −0.529553 | ||||||||
\(170\) | −16.2635 | + | 4.38652i | −1.24735 | + | 0.336431i | ||||
\(171\) | 10.0220 | − | 4.90161i | 0.766401 | − | 0.374836i | ||||
\(172\) | 9.24895 | + | 15.8984i | 0.705226 | + | 1.21224i | ||||
\(173\) | 3.69882 | − | 2.13552i | 0.281216 | − | 0.162360i | −0.352758 | − | 0.935715i | \(-0.614756\pi\) |
0.633974 | + | 0.773354i | \(0.281423\pi\) | |||||||
\(174\) | 1.55677 | + | 0.968038i | 0.118019 | + | 0.0733868i | ||||
\(175\) | −2.01443 | + | 4.31763i | −0.152276 | + | 0.326382i | ||||
\(176\) | −2.02823 | − | 3.46014i | −0.152884 | − | 0.260818i | ||||
\(177\) | 14.3199 | − | 3.31425i | 1.07635 | − | 0.249115i | ||||
\(178\) | 14.7655 | − | 14.8143i | 1.10672 | − | 1.11038i | ||||
\(179\) | 3.77825 | − | 6.54412i | 0.282399 | − | 0.489130i | −0.689576 | − | 0.724214i | \(-0.742203\pi\) |
0.971975 | + | 0.235083i | \(0.0755363\pi\) | |||||||
\(180\) | 8.92331 | + | 5.96205i | 0.665105 | + | 0.444385i | ||||
\(181\) | 5.00239 | 0.371824 | 0.185912 | − | 0.982566i | \(-0.440476\pi\) | ||||
0.185912 | + | 0.982566i | \(0.440476\pi\) | |||||||
\(182\) | −3.17731 | − | 8.69057i | −0.235518 | − | 0.644188i | ||||
\(183\) | 6.70749 | + | 2.04668i | 0.495832 | + | 0.151295i | ||||
\(184\) | −21.6458 | − | 5.68543i | −1.59575 | − | 0.419136i | ||||
\(185\) | −3.32963 | + | 5.76708i | −0.244799 | + | 0.424004i | ||||
\(186\) | 3.83008 | + | 7.16537i | 0.280835 | + | 0.525390i | ||||
\(187\) | −3.33859 | − | 5.78261i | −0.244142 | − | 0.422867i | ||||
\(188\) | 4.15927 | + | 2.38311i | 0.303346 | + | 0.173806i | ||||
\(189\) | 9.56413 | + | 9.87560i | 0.695688 | + | 0.718344i | ||||
\(190\) | 2.41968 | − | 9.09025i | 0.175542 | − | 0.659476i | ||||
\(191\) | −10.4891 | + | 6.05587i | −0.758963 | + | 0.438188i | −0.828923 | − | 0.559362i | \(-0.811046\pi\) |
0.0699601 | + | 0.997550i | \(0.477713\pi\) | |||||||
\(192\) | −9.55525 | − | 10.0348i | −0.689591 | − | 0.724199i | ||||
\(193\) | 0.592437 | − | 1.02613i | 0.0426445 | − | 0.0738625i | −0.843915 | − | 0.536476i | \(-0.819755\pi\) |
0.886560 | + | 0.462614i | \(0.153088\pi\) | |||||||
\(194\) | −2.39736 | + | 0.646607i | −0.172121 | + | 0.0464237i | ||||
\(195\) | −2.23598 | + | 7.32787i | −0.160122 | + | 0.524760i | ||||
\(196\) | −10.6986 | + | 9.02991i | −0.764188 | + | 0.644994i | ||||
\(197\) | −19.5111 | −1.39011 | −0.695054 | − | 0.718957i | \(-0.744620\pi\) | ||||
−0.695054 | + | 0.718957i | \(0.744620\pi\) | |||||||
\(198\) | −1.37396 | + | 4.02608i | −0.0976432 | + | 0.286121i | ||||
\(199\) | −12.7632 | − | 7.36884i | −0.904760 | − | 0.522363i | −0.0260186 | − | 0.999661i | \(-0.508283\pi\) |
−0.878741 | + | 0.477298i | \(0.841616\pi\) | |||||||
\(200\) | −4.91327 | + | 1.34257i | −0.347421 | + | 0.0949341i | ||||
\(201\) | 13.4415 | − | 3.11096i | 0.948093 | − | 0.219430i | ||||
\(202\) | 5.32638 | − | 20.0101i | 0.374763 | − | 1.40791i | ||||
\(203\) | 1.97259 | − | 0.172170i | 0.138449 | − | 0.0120839i | ||||
\(204\) | −15.7973 | − | 16.8105i | −1.10603 | − | 1.17697i | ||||
\(205\) | −3.11418 | + | 1.79797i | −0.217503 | + | 0.125576i | ||||
\(206\) | 9.87802 | + | 9.84552i | 0.688234 | + | 0.685970i | ||||
\(207\) | 10.4292 | + | 21.3238i | 0.724876 | + | 1.48211i | ||||
\(208\) | 4.88946 | − | 8.59919i | 0.339023 | − | 0.596247i | ||||
\(209\) | 3.72883 | 0.257929 | ||||||||
\(210\) | 11.5746 | − | 0.629671i | 0.798720 | − | 0.0434514i | ||||
\(211\) | 14.9240i | 1.02741i | 0.857967 | + | 0.513704i | \(0.171727\pi\) | ||||
−0.857967 | + | 0.513704i | \(0.828273\pi\) | |||||||
\(212\) | −0.0835557 | − | 25.3552i | −0.00573863 | − | 1.74140i | ||||
\(213\) | −6.46340 | − | 6.92356i | −0.442865 | − | 0.474395i | ||||
\(214\) | −6.95073 | + | 6.97367i | −0.475142 | + | 0.476710i | ||||
\(215\) | −8.22459 | − | 14.2454i | −0.560913 | − | 0.971529i | ||||
\(216\) | −1.44002 | + | 14.6262i | −0.0979807 | + | 0.995188i | ||||
\(217\) | 7.95278 | + | 3.71044i | 0.539870 | + | 0.251881i | ||||
\(218\) | 0.992886 | − | 3.73007i | 0.0672467 | − | 0.252633i | ||||
\(219\) | 11.0781 | − | 2.56395i | 0.748587 | − | 0.173256i | ||||
\(220\) | 1.80368 | + | 3.10042i | 0.121604 | + | 0.209030i | ||||
\(221\) | 8.23422 | − | 14.2621i | 0.553894 | − | 0.959372i | ||||
\(222\) | −9.11480 | − | 0.298276i | −0.611746 | − | 0.0200190i | ||||
\(223\) | − | 7.62187i | − | 0.510398i | −0.966889 | − | 0.255199i | \(-0.917859\pi\) | ||
0.966889 | − | 0.255199i | \(-0.0821410\pi\) | |||||||
\(224\) | −14.7597 | − | 2.48045i | −0.986171 | − | 0.165732i | ||||
\(225\) | 4.48206 | + | 3.01607i | 0.298804 | + | 0.201071i | ||||
\(226\) | −0.725248 | + | 0.195611i | −0.0482428 | + | 0.0130118i | ||||
\(227\) | 13.6531 | + | 7.88264i | 0.906190 | + | 0.523189i | 0.879203 | − | 0.476446i | \(-0.158075\pi\) |
0.0269870 | + | 0.999636i | \(0.491409\pi\) | |||||||
\(228\) | 12.5410 | − | 2.94610i | 0.830545 | − | 0.195110i | ||||
\(229\) | 8.82193 | + | 15.2800i | 0.582970 | + | 1.00973i | 0.995125 | + | 0.0986198i | \(0.0314428\pi\) |
−0.412155 | + | 0.911114i | \(0.635224\pi\) | |||||||
\(230\) | 19.3413 | + | 5.14835i | 1.27533 | + | 0.339472i | ||||
\(231\) | 1.42139 | + | 4.36954i | 0.0935208 | + | 0.287495i | ||||
\(232\) | 1.50419 | + | 1.48939i | 0.0987547 | + | 0.0977832i | ||||
\(233\) | 15.7079 | − | 9.06896i | 1.02906 | − | 0.594127i | 0.112344 | − | 0.993669i | \(-0.464164\pi\) |
0.916715 | + | 0.399542i | \(0.130831\pi\) | |||||||
\(234\) | −10.2938 | + | 2.03020i | −0.672928 | + | 0.132719i | ||||
\(235\) | −3.71266 | − | 2.14350i | −0.242187 | − | 0.139827i | ||||
\(236\) | 16.9722 | − | 0.0559303i | 1.10480 | − | 0.00364075i | ||||
\(237\) | −8.41536 | − | 2.56781i | −0.546637 | − | 0.166797i | ||||
\(238\) | −24.5443 | − | 4.29135i | −1.59097 | − | 0.278167i | ||||
\(239\) | − | 5.41040i | − | 0.349970i | −0.984571 | − | 0.174985i | \(-0.944012\pi\) | ||
0.984571 | − | 0.174985i | \(-0.0559877\pi\) | |||||||
\(240\) | 8.51580 | + | 9.00240i | 0.549693 | + | 0.581103i | ||||
\(241\) | −18.6025 | − | 10.7401i | −1.19829 | − | 0.691834i | −0.238117 | − | 0.971236i | \(-0.576530\pi\) |
−0.960174 | + | 0.279403i | \(0.909863\pi\) | |||||||
\(242\) | 9.97813 | − | 10.0111i | 0.641418 | − | 0.643535i | ||||
\(243\) | 12.7449 | − | 8.97601i | 0.817583 | − | 0.575811i | ||||
\(244\) | 7.02610 | + | 4.02571i | 0.449800 | + | 0.257719i | ||||
\(245\) | 9.59453 | − | 8.04403i | 0.612972 | − | 0.513914i | ||||
\(246\) | −4.18197 | − | 2.60045i | −0.266633 | − | 0.165798i | ||||
\(247\) | 4.59834 | + | 7.96457i | 0.292586 | + | 0.506773i | ||||
\(248\) | 2.47292 | + | 9.04990i | 0.157031 | + | 0.574669i | ||||
\(249\) | 6.68340 | + | 7.15923i | 0.423543 | + | 0.453698i | ||||
\(250\) | 16.6091 | − | 4.47975i | 1.05045 | − | 0.283324i | ||||
\(251\) | − | 19.8553i | − | 1.25325i | −0.779319 | − | 0.626627i | \(-0.784435\pi\) | ||
0.779319 | − | 0.626627i | \(-0.215565\pi\) | |||||||
\(252\) | 8.23281 | + | 13.5728i | 0.518618 | + | 0.855006i | ||||
\(253\) | 7.93382i | 0.498795i | ||||||||
\(254\) | 1.66605 | + | 6.17707i | 0.104538 | + | 0.387584i | ||||
\(255\) | 14.0781 | + | 15.0804i | 0.881607 | + | 0.944373i | ||||
\(256\) | −8.18195 | − | 13.7498i | −0.511372 | − | 0.859360i | ||||
\(257\) | 4.36616 | + | 7.56240i | 0.272353 | + | 0.471730i | 0.969464 | − | 0.245234i | \(-0.0788647\pi\) |
−0.697111 | + | 0.716964i | \(0.745531\pi\) | |||||||
\(258\) | 11.8954 | − | 19.1299i | 0.740576 | − | 1.19098i | ||||
\(259\) | −8.07012 | + | 5.64828i | −0.501453 | + | 0.350967i | ||||
\(260\) | −4.39805 | + | 7.67595i | −0.272755 | + | 0.476042i | ||||
\(261\) | 0.154171 | − | 2.23991i | 0.00954295 | − | 0.138647i | ||||
\(262\) | 15.4900 | + | 15.4391i | 0.956977 | + | 0.953828i | ||||
\(263\) | 17.1429 | + | 9.89747i | 1.05708 | + | 0.610304i | 0.924623 | − | 0.380885i | \(-0.124381\pi\) |
0.132455 | + | 0.991189i | \(0.457714\pi\) | |||||||
\(264\) | −2.58015 | + | 4.17998i | −0.158797 | + | 0.257260i | ||||
\(265\) | 22.6757i | 1.39296i | ||||||||
\(266\) | 8.92871 | − | 10.6720i | 0.547454 | − | 0.654344i | ||||
\(267\) | −24.5016 | − | 7.47627i | −1.49947 | − | 0.457540i | ||||
\(268\) | 15.9311 | − | 0.0524996i | 0.973150 | − | 0.00320692i | ||||
\(269\) | −0.805574 | − | 0.465098i | −0.0491167 | − | 0.0283575i | 0.475241 | − | 0.879856i | \(-0.342361\pi\) |
−0.524357 | + | 0.851498i | \(0.675694\pi\) | |||||||
\(270\) | 1.33093 | − | 13.0762i | 0.0809977 | − | 0.795790i | ||||
\(271\) | −7.45646 | + | 4.30499i | −0.452948 | + | 0.261509i | −0.709074 | − | 0.705134i | \(-0.750887\pi\) |
0.256127 | + | 0.966643i | \(0.417554\pi\) | |||||||
\(272\) | −13.4703 | − | 22.9801i | −0.816754 | − | 1.39337i | ||||
\(273\) | −7.58025 | + | 8.42448i | −0.458777 | + | 0.509873i | ||||
\(274\) | −4.07950 | + | 15.3259i | −0.246452 | + | 0.925870i | ||||
\(275\) | 0.902819 | + | 1.56373i | 0.0544420 | + | 0.0942964i | ||||
\(276\) | 6.26840 | + | 26.6834i | 0.377314 | + | 1.60615i | ||||
\(277\) | −25.5583 | − | 14.7561i | −1.53565 | − | 0.886607i | −0.999086 | − | 0.0427456i | \(-0.986390\pi\) |
−0.536562 | − | 0.843861i | \(-0.680277\pi\) | |||||||
\(278\) | −6.62250 | − | 24.5536i | −0.397191 | − | 1.47263i | ||||
\(279\) | 5.55539 | − | 8.25565i | 0.332593 | − | 0.494253i | ||||
\(280\) | 13.1924 | + | 2.26180i | 0.788398 | + | 0.135168i | ||||
\(281\) | − | 21.3260i | − | 1.27220i | −0.771605 | − | 0.636102i | \(-0.780546\pi\) | ||
0.771605 | − | 0.636102i | \(-0.219454\pi\) | |||||||
\(282\) | 0.192020 | − | 5.86781i | 0.0114346 | − | 0.349423i | ||||
\(283\) | 10.4247 | − | 18.0561i | 0.619684 | − | 1.07332i | −0.369860 | − | 0.929088i | \(-0.620594\pi\) |
0.989543 | − | 0.144236i | \(-0.0460724\pi\) | |||||||
\(284\) | −5.49962 | − | 9.45353i | −0.326342 | − | 0.560964i | ||||
\(285\) | −11.2242 | + | 2.59777i | −0.664865 | + | 0.153879i | ||||
\(286\) | −3.38879 | − | 0.902042i | −0.200383 | − | 0.0533389i | ||||
\(287\) | −5.29898 | + | 0.462500i | −0.312789 | + | 0.0273005i | ||||
\(288\) | −5.37511 | + | 16.0968i | −0.316732 | + | 0.948515i | ||||
\(289\) | −13.6728 | − | 23.6820i | −0.804284 | − | 1.39306i | ||||
\(290\) | −1.34082 | − | 1.33641i | −0.0787358 | − | 0.0784768i | ||||
\(291\) | 2.07523 | + | 2.22297i | 0.121652 | + | 0.130313i | ||||
\(292\) | 13.1299 | − | 0.0432684i | 0.768371 | − | 0.00253209i | ||||
\(293\) | 13.1058i | 0.765652i | 0.923821 | + | 0.382826i | \(0.125049\pi\) | ||||
−0.923821 | + | 0.382826i | \(0.874951\pi\) | |||||||
\(294\) | 15.9093 | + | 6.39483i | 0.927850 | + | 0.372954i | ||||
\(295\) | −15.1786 | −0.883733 | ||||||||
\(296\) | −10.1850 | − | 2.67518i | −0.591993 | − | 0.155492i | ||||
\(297\) | 5.14466 | − | 0.823477i | 0.298523 | − | 0.0477830i | ||||
\(298\) | −0.923465 | + | 0.926514i | −0.0534949 | + | 0.0536715i | ||||
\(299\) | −16.9462 | + | 9.78389i | −0.980023 | + | 0.565817i | ||||
\(300\) | 4.27188 | + | 4.54589i | 0.246637 | + | 0.262457i | ||||
\(301\) | −2.11565 | − | 24.2395i | −0.121944 | − | 1.39714i | ||||
\(302\) | −26.1496 | − | 6.96060i | −1.50474 | − | 0.400537i | ||||
\(303\) | −24.7076 | + | 5.71841i | −1.41941 | + | 0.328514i | ||||
\(304\) | 14.8749 | − | 0.0980389i | 0.853136 | − | 0.00562292i | ||||
\(305\) | −6.27166 | − | 3.62094i | −0.359114 | − | 0.207335i | ||||
\(306\) | −9.12499 | + | 26.7387i | −0.521641 | + | 1.52855i | ||||
\(307\) | −18.6425 | −1.06398 | −0.531992 | − | 0.846750i | \(-0.678556\pi\) | ||||
−0.531992 | + | 0.846750i | \(0.678556\pi\) | |||||||
\(308\) | 0.478754 | + | 5.28411i | 0.0272795 | + | 0.301090i | ||||
\(309\) | 4.98511 | − | 16.3375i | 0.283593 | − | 0.929406i | ||||
\(310\) | −2.18489 | − | 8.10072i | −0.124094 | − | 0.460090i | ||||
\(311\) | −9.92896 | + | 17.1975i | −0.563020 | + | 0.975179i | 0.434211 | + | 0.900811i | \(0.357027\pi\) |
−0.997231 | + | 0.0743677i | \(0.976306\pi\) | |||||||
\(312\) | −12.1100 | − | 0.356347i | −0.685595 | − | 0.0201742i | ||||
\(313\) | 2.33108 | − | 1.34585i | 0.131760 | − | 0.0760718i | −0.432671 | − | 0.901552i | \(-0.642429\pi\) |
0.564431 | + | 0.825480i | \(0.309096\pi\) | |||||||
\(314\) | 14.9474 | + | 3.97876i | 0.843532 | + | 0.224535i | ||||
\(315\) | −7.32270 | − | 12.1626i | −0.412587 | − | 0.685284i | ||||
\(316\) | −8.81510 | − | 5.05074i | −0.495888 | − | 0.284126i | ||||
\(317\) | −5.35288 | − | 9.27147i | −0.300648 | − | 0.520737i | 0.675635 | − | 0.737236i | \(-0.263870\pi\) |
−0.976283 | + | 0.216499i | \(0.930536\pi\) | |||||||
\(318\) | −27.3869 | + | 14.6390i | −1.53578 | + | 0.820915i | ||||
\(319\) | 0.375209 | − | 0.649881i | 0.0210077 | − | 0.0363864i | ||||
\(320\) | 7.27669 | + | 12.3207i | 0.406780 | + | 0.688747i | ||||
\(321\) | 11.5339 | + | 3.51938i | 0.643760 | + | 0.196433i | ||||
\(322\) | 22.7069 | + | 18.9976i | 1.26540 | + | 1.05869i | ||||
\(323\) | 24.7645 | 1.37794 | ||||||||
\(324\) | 16.6521 | − | 6.83428i | 0.925117 | − | 0.379682i | ||||
\(325\) | −2.22669 | + | 3.85674i | −0.123514 | + | 0.213933i | ||||
\(326\) | 10.6545 | + | 10.6194i | 0.590097 | + | 0.588155i | ||||
\(327\) | −4.60572 | + | 1.06596i | −0.254697 | + | 0.0589479i | ||||
\(328\) | −4.04071 | − | 4.00095i | −0.223111 | − | 0.220916i | ||||
\(329\) | −3.63618 | − | 5.19528i | −0.200469 | − | 0.286425i | ||||
\(330\) | 2.31978 | − | 3.73061i | 0.127700 | − | 0.205363i | ||||
\(331\) | 18.8525 | − | 10.8845i | 1.03623 | − | 0.598266i | 0.117465 | − | 0.993077i | \(-0.462523\pi\) |
0.918762 | + | 0.394811i | \(0.129190\pi\) | |||||||
\(332\) | 5.68681 | + | 9.77531i | 0.312104 | + | 0.536490i | ||||
\(333\) | 4.90725 | + | 10.0335i | 0.268916 | + | 0.549834i | ||||
\(334\) | −2.92057 | − | 10.8283i | −0.159807 | − | 0.592500i | ||||
\(335\) | −14.2476 | −0.778428 | ||||||||
\(336\) | 5.78507 | + | 17.3935i | 0.315601 | + | 0.948892i | ||||
\(337\) | −11.3104 | −0.616116 | −0.308058 | − | 0.951368i | \(-0.599679\pi\) | ||||
−0.308058 | + | 0.951368i | \(0.599679\pi\) | |||||||
\(338\) | 2.53528 | + | 9.39982i | 0.137901 | + | 0.511283i | ||||
\(339\) | 0.627796 | + | 0.672492i | 0.0340972 | + | 0.0365247i | ||||
\(340\) | 11.9789 | + | 20.5910i | 0.649646 | + | 1.11671i | ||||
\(341\) | 2.88028 | − | 1.66293i | 0.155976 | − | 0.0900527i | ||||
\(342\) | −10.3836 | − | 11.8791i | −0.561482 | − | 0.642348i | ||||
\(343\) | 17.8922 | − | 4.78234i | 0.966086 | − | 0.258222i | ||||
\(344\) | 18.3019 | − | 18.4837i | 0.986771 | − | 0.996575i | ||||
\(345\) | −5.52727 | − | 23.8817i | −0.297578 | − | 1.28575i | ||||
\(346\) | −4.27806 | − | 4.26399i | −0.229990 | − | 0.229233i | ||||
\(347\) | −9.94032 | + | 17.2171i | −0.533624 | + | 0.924265i | 0.465604 | + | 0.884993i | \(0.345837\pi\) |
−0.999229 | + | 0.0392715i | \(0.987496\pi\) | |||||||
\(348\) | 0.748457 | − | 2.48216i | 0.0401215 | − | 0.133058i | ||||
\(349\) | 9.45348 | 0.506033 | 0.253017 | − | 0.967462i | \(-0.418577\pi\) | ||||
0.253017 | + | 0.967462i | \(0.418577\pi\) | |||||||
\(350\) | 6.63725 | + | 1.16046i | 0.354776 | + | 0.0620293i | ||||
\(351\) | 8.10323 | + | 9.97319i | 0.432518 | + | 0.532330i | ||||
\(352\) | −3.97759 | + | 4.04368i | −0.212006 | + | 0.215529i | ||||
\(353\) | 8.48135 | − | 14.6901i | 0.451417 | − | 0.781877i | −0.547057 | − | 0.837095i | \(-0.684252\pi\) |
0.998474 | + | 0.0552182i | \(0.0175854\pi\) | |||||||
\(354\) | −9.79903 | − | 18.3322i | −0.520812 | − | 0.974343i | ||||
\(355\) | 4.89051 | + | 8.47062i | 0.259561 | + | 0.449574i | ||||
\(356\) | −25.6655 | − | 14.7054i | −1.36027 | − | 0.779385i | ||||
\(357\) | 9.44000 | + | 29.0197i | 0.499618 | + | 1.53589i | ||||
\(358\) | −10.3269 | − | 2.74886i | −0.545794 | − | 0.145282i | ||||
\(359\) | −18.2162 | + | 10.5171i | −0.961413 | + | 0.555072i | −0.896608 | − | 0.442826i | \(-0.853976\pi\) |
−0.0648056 | + | 0.997898i | \(0.520643\pi\) | |||||||
\(360\) | 4.85447 | − | 14.3798i | 0.255853 | − | 0.757880i | ||||
\(361\) | 2.58521 | − | 4.47771i | 0.136064 | − | 0.235669i | ||||
\(362\) | −1.84226 | − | 6.83036i | −0.0968269 | − | 0.358996i | ||||
\(363\) | −16.5575 | − | 5.05225i | −0.869044 | − | 0.265174i | ||||
\(364\) | −10.6962 | + | 7.53889i | −0.560631 | + | 0.395145i | ||||
\(365\) | −11.7424 | −0.614625 | ||||||||
\(366\) | 0.324373 | − | 9.91228i | 0.0169553 | − | 0.518123i | ||||
\(367\) | 1.24875 | + | 0.720966i | 0.0651842 | + | 0.0376341i | 0.532238 | − | 0.846595i | \(-0.321351\pi\) |
−0.467054 | + | 0.884229i | \(0.654685\pi\) | |||||||
\(368\) | 0.208597 | + | 31.6494i | 0.0108739 | + | 1.64984i | ||||
\(369\) | −0.414151 | + | 6.01708i | −0.0215598 | + | 0.313237i | ||||
\(370\) | 9.10071 | + | 2.42246i | 0.473124 | + | 0.125938i | ||||
\(371\) | −14.1817 | + | 30.3964i | −0.736278 | + | 1.57810i | ||||
\(372\) | 8.37321 | − | 7.86850i | 0.434131 | − | 0.407963i | ||||
\(373\) | 18.8362 | − | 10.8751i | 0.975302 | − | 0.563091i | 0.0744535 | − | 0.997224i | \(-0.476279\pi\) |
0.900848 | + | 0.434134i | \(0.142945\pi\) | |||||||
\(374\) | −6.66618 | + | 6.68818i | −0.344700 | + | 0.345838i | ||||
\(375\) | −14.3774 | − | 15.4010i | −0.742443 | − | 0.795302i | ||||
\(376\) | 1.72219 | − | 6.55679i | 0.0888154 | − | 0.338141i | ||||
\(377\) | 1.85081 | 0.0953217 | ||||||||
\(378\) | 9.96210 | − | 16.6960i | 0.512395 | − | 0.858750i | ||||
\(379\) | − | 1.82298i | − | 0.0936402i | −0.998903 | − | 0.0468201i | \(-0.985091\pi\) | ||
0.998903 | − | 0.0468201i | \(-0.0149087\pi\) | |||||||
\(380\) | −13.3031 | + | 0.0438392i | −0.682436 | + | 0.00224890i | ||||
\(381\) | 5.72774 | − | 5.34705i | 0.293441 | − | 0.273938i | ||||
\(382\) | 12.1317 | + | 12.0918i | 0.620711 | + | 0.618669i | ||||
\(383\) | 4.81069 | + | 8.33236i | 0.245815 | + | 0.425763i | 0.962360 | − | 0.271777i | \(-0.0876112\pi\) |
−0.716546 | + | 0.697540i | \(0.754278\pi\) | |||||||
\(384\) | −10.1828 | + | 16.7425i | −0.519636 | + | 0.854388i | ||||
\(385\) | −0.412582 | − | 4.72705i | −0.0210271 | − | 0.240913i | ||||
\(386\) | −1.61928 | − | 0.431026i | −0.0824192 | − | 0.0219387i | ||||
\(387\) | −27.5244 | − | 1.89448i | −1.39914 | − | 0.0963019i | ||||
\(388\) | 1.76578 | + | 3.03528i | 0.0896439 | + | 0.154093i | ||||
\(389\) | 14.0629 | − | 24.3576i | 0.713017 | − | 1.23498i | −0.250703 | − | 0.968064i | \(-0.580662\pi\) |
0.963719 | − | 0.266917i | \(-0.0860050\pi\) | |||||||
\(390\) | 10.8291 | + | 0.354375i | 0.548352 | + | 0.0179445i | ||||
\(391\) | 52.6914i | 2.66472i | ||||||||
\(392\) | 16.2697 | + | 11.2826i | 0.821743 | + | 0.569859i | ||||
\(393\) | 7.81730 | − | 25.6193i | 0.394331 | − | 1.29232i | ||||
\(394\) | 7.18546 | + | 26.6409i | 0.361998 | + | 1.34215i | ||||
\(395\) | 7.86857 | + | 4.54292i | 0.395911 | + | 0.228579i | ||||
\(396\) | 6.00329 | + | 0.393329i | 0.301676 | + | 0.0197655i | ||||
\(397\) | −9.42646 | − | 16.3271i | −0.473101 | − | 0.819434i | 0.526425 | − | 0.850221i | \(-0.323532\pi\) |
−0.999526 | + | 0.0307871i | \(0.990199\pi\) | |||||||
\(398\) | −5.36119 | + | 20.1409i | −0.268732 | + | 1.00957i | ||||
\(399\) | −16.6706 | − | 3.53751i | −0.834571 | − | 0.177097i | ||||
\(400\) | 3.64261 | + | 6.21424i | 0.182131 | + | 0.310712i | ||||
\(401\) | 5.22718 | − | 3.01791i | 0.261033 | − | 0.150707i | −0.363773 | − | 0.931488i | \(-0.618512\pi\) |
0.624806 | + | 0.780780i | \(0.285178\pi\) | |||||||
\(402\) | −9.19796 | − | 17.2077i | −0.458753 | − | 0.858240i | ||||
\(403\) | 7.10385 | + | 4.10141i | 0.353868 | + | 0.204306i | ||||
\(404\) | −29.2838 | + | 0.0965021i | −1.45693 | + | 0.00480116i | ||||
\(405\) | −14.9123 | + | 6.06290i | −0.740999 | + | 0.301268i | ||||
\(406\) | −0.961541 | − | 2.63001i | −0.0477205 | − | 0.130525i | ||||
\(407\) | 3.73312i | 0.185044i | ||||||||
\(408\) | −17.1357 | + | 27.7608i | −0.848344 | + | 1.37437i | ||||
\(409\) | 22.6629 | + | 13.0844i | 1.12061 | + | 0.646984i | 0.941556 | − | 0.336856i | \(-0.109364\pi\) |
0.179052 | + | 0.983840i | \(0.442697\pi\) | |||||||
\(410\) | 3.60186 | + | 3.59001i | 0.177883 | + | 0.177298i | ||||
\(411\) | 18.9237 | − | 4.37976i | 0.933436 | − | 0.216038i | ||||
\(412\) | 9.80544 | − | 17.1135i | 0.483080 | − | 0.843123i | ||||
\(413\) | −20.3467 | − | 9.49292i | −1.00120 | − | 0.467116i | ||||
\(414\) | 25.2751 | − | 22.0932i | 1.24220 | − | 1.08582i | ||||
\(415\) | −5.05698 | − | 8.75894i | −0.248237 | − | 0.429959i | ||||
\(416\) | −13.5422 | − | 3.50930i | −0.663960 | − | 0.172058i | ||||
\(417\) | −22.7675 | + | 21.2543i | −1.11493 | + | 1.04083i | ||||
\(418\) | −1.37324 | − | 5.09142i | −0.0671672 | − | 0.249029i | ||||
\(419\) | 2.51866i | 0.123045i | 0.998106 | + | 0.0615223i | \(0.0195955\pi\) | ||||
−0.998106 | + | 0.0615223i | \(0.980404\pi\) | |||||||
\(420\) | −5.12239 | − | 15.5722i | −0.249947 | − | 0.759848i | ||||
\(421\) | 33.4873i | 1.63207i | 0.578003 | + | 0.816034i | \(0.303832\pi\) | ||||
−0.578003 | + | 0.816034i | \(0.696168\pi\) | |||||||
\(422\) | 20.3775 | − | 5.49614i | 0.991961 | − | 0.267548i | ||||
\(423\) | −6.45926 | + | 3.15913i | −0.314060 | + | 0.153602i | ||||
\(424\) | −34.5898 | + | 9.45180i | −1.67983 | + | 0.459020i | ||||
\(425\) | 5.99595 | + | 10.3853i | 0.290846 | + | 0.503761i | ||||
\(426\) | −7.07326 | + | 11.3750i | −0.342701 | + | 0.551123i | ||||
\(427\) | −6.14247 | − | 8.77620i | −0.297255 | − | 0.424710i | ||||
\(428\) | 12.0818 | + | 6.92243i | 0.583995 | + | 0.334608i | ||||
\(429\) | 0.968433 | + | 4.18432i | 0.0467564 | + | 0.202021i | ||||
\(430\) | −16.4221 | + | 16.4763i | −0.791942 | + | 0.794556i | ||||
\(431\) | 12.0003 | + | 6.92836i | 0.578033 | + | 0.333727i | 0.760351 | − | 0.649512i | \(-0.225027\pi\) |
−0.182319 | + | 0.983240i | \(0.558360\pi\) | |||||||
\(432\) | 20.5013 | − | 3.42026i | 0.986368 | − | 0.164557i | ||||
\(433\) | − | 9.79368i | − | 0.470654i | −0.971916 | − | 0.235327i | \(-0.924384\pi\) | ||
0.971916 | − | 0.235327i | \(-0.0756161\pi\) | |||||||
\(434\) | 2.13749 | − | 12.2254i | 0.102603 | − | 0.586836i | ||||
\(435\) | −0.676669 | + | 2.21762i | −0.0324438 | + | 0.106327i | ||||
\(436\) | −5.45878 | + | 0.0179889i | −0.261428 | + | 0.000861511i | ||||
\(437\) | −25.4829 | − | 14.7126i | −1.21901 | − | 0.703798i | ||||
\(438\) | −7.58066 | − | 14.1820i | −0.362218 | − | 0.677642i | ||||
\(439\) | 6.99463 | − | 4.03835i | 0.333835 | − | 0.192740i | −0.323707 | − | 0.946157i | \(-0.604929\pi\) |
0.657543 | + | 0.753417i | \(0.271596\pi\) | |||||||
\(440\) | 3.56913 | − | 3.60459i | 0.170151 | − | 0.171842i | ||||
\(441\) | −2.20931 | − | 20.8835i | −0.105205 | − | 0.994451i | ||||
\(442\) | −22.5062 | − | 5.99079i | −1.07051 | − | 0.284953i | ||||
\(443\) | 8.84884 | + | 15.3266i | 0.420421 | + | 0.728191i | 0.995981 | − | 0.0895692i | \(-0.0285490\pi\) |
−0.575559 | + | 0.817760i | \(0.695216\pi\) | |||||||
\(444\) | 2.94949 | + | 12.5554i | 0.139977 | + | 0.595852i | ||||
\(445\) | 22.9096 | + | 13.2269i | 1.08602 | + | 0.627014i | ||||
\(446\) | −10.4071 | + | 2.80695i | −0.492788 | + | 0.132913i | ||||
\(447\) | 1.53238 | + | 0.467581i | 0.0724791 | + | 0.0221158i | ||||
\(448\) | 2.04876 | + | 21.0666i | 0.0967948 | + | 0.995304i | ||||
\(449\) | 19.4650i | 0.918609i | 0.888279 | + | 0.459305i | \(0.151901\pi\) | ||||
−0.888279 | + | 0.459305i | \(0.848099\pi\) | |||||||
\(450\) | 2.46757 | − | 7.23064i | 0.116322 | − | 0.340856i | ||||
\(451\) | −1.00793 | + | 1.74578i | −0.0474614 | + | 0.0822056i | ||||
\(452\) | 0.534182 | + | 0.918230i | 0.0251258 | + | 0.0431899i | ||||
\(453\) | 7.47291 | + | 32.2882i | 0.351108 | + | 1.51703i | ||||
\(454\) | 5.73500 | − | 21.5453i | 0.269157 | − | 1.01117i | ||||
\(455\) | 9.58793 | − | 6.71059i | 0.449489 | − | 0.314597i | ||||
\(456\) | −8.64119 | − | 16.0387i | −0.404661 | − | 0.751081i | ||||
\(457\) | 7.75626 | + | 13.4342i | 0.362823 | + | 0.628427i | 0.988424 | − | 0.151715i | \(-0.0484797\pi\) |
−0.625601 | + | 0.780143i | \(0.715146\pi\) | |||||||
\(458\) | 17.6148 | − | 17.6729i | 0.823084 | − | 0.825801i | ||||
\(459\) | 34.1676 | − | 5.46902i | 1.59481 | − | 0.255272i | ||||
\(460\) | −0.0932765 | − | 28.3050i | −0.00434904 | − | 1.31973i | ||||
\(461\) | − | 0.857290i | − | 0.0399280i | −0.999801 | − | 0.0199640i | \(-0.993645\pi\) | ||
0.999801 | − | 0.0199640i | \(-0.00635516\pi\) | |||||||
\(462\) | 5.44280 | − | 3.55000i | 0.253222 | − | 0.165161i | ||||
\(463\) | 37.5731 | 1.74617 | 0.873086 | − | 0.487566i | \(-0.162115\pi\) | ||||
0.873086 | + | 0.487566i | \(0.162115\pi\) | |||||||
\(464\) | 1.47969 | − | 2.60235i | 0.0686927 | − | 0.120811i | ||||
\(465\) | −7.51146 | + | 7.01222i | −0.348335 | + | 0.325184i | ||||
\(466\) | −18.1678 | − | 18.1080i | −0.841606 | − | 0.838837i | ||||
\(467\) | 8.69155 | − | 5.01807i | 0.402197 | − | 0.232208i | −0.285235 | − | 0.958458i | \(-0.592072\pi\) |
0.687431 | + | 0.726249i | \(0.258738\pi\) | |||||||
\(468\) | 6.56305 | + | 13.3077i | 0.303377 | + | 0.615150i | ||||
\(469\) | −19.0986 | − | 8.91063i | −0.881893 | − | 0.411455i | ||||
\(470\) | −1.55950 | + | 5.85874i | −0.0719345 | + | 0.270244i | ||||
\(471\) | −4.27161 | − | 18.4564i | −0.196825 | − | 0.850424i | ||||
\(472\) | −6.32682 | − | 23.1536i | −0.291216 | − | 1.06573i | ||||
\(473\) | −7.98586 | − | 4.61064i | −0.367190 | − | 0.211997i | ||||
\(474\) | −0.406966 | + | 12.4362i | −0.0186926 | + | 0.571212i | ||||
\(475\) | −6.69680 | −0.307270 | ||||||||
\(476\) | 3.17958 | + | 35.0937i | 0.145736 | + | 1.60852i | ||||
\(477\) | 31.5540 | + | 21.2333i | 1.44476 | + | 0.972208i | ||||
\(478\) | −7.38747 | + | 1.99252i | −0.337895 | + | 0.0911357i | ||||
\(479\) | 11.0594 | − | 19.1555i | 0.505318 | − | 0.875237i | −0.494663 | − | 0.869085i | \(-0.664708\pi\) |
0.999981 | − | 0.00615194i | \(-0.00195824\pi\) | |||||||
\(480\) | 9.15590 | − | 14.9430i | 0.417908 | − | 0.682052i | ||||
\(481\) | −7.97373 | + | 4.60364i | −0.363571 | + | 0.209908i | ||||
\(482\) | −7.81397 | + | 29.3555i | −0.355917 | + | 1.33711i | ||||
\(483\) | 7.52675 | − | 35.4699i | 0.342479 | − | 1.61394i | ||||
\(484\) | −17.3440 | − | 9.93751i | −0.788364 | − | 0.451705i | ||||
\(485\) | −1.57021 | − | 2.71969i | −0.0712997 | − | 0.123495i | ||||
\(486\) | −16.9496 | − | 14.0964i | −0.768852 | − | 0.639427i | ||||
\(487\) | 11.2659 | − | 19.5131i | 0.510506 | − | 0.884223i | −0.489419 | − | 0.872049i | \(-0.662791\pi\) |
0.999926 | − | 0.0121746i | \(-0.00387541\pi\) | |||||||
\(488\) | 2.90924 | − | 11.0761i | 0.131695 | − | 0.501394i | ||||
\(489\) | 5.37696 | − | 17.6217i | 0.243155 | − | 0.796879i | ||||
\(490\) | −14.5169 | − | 10.1381i | −0.655807 | − | 0.457995i | ||||
\(491\) | 25.1085 | 1.13313 | 0.566565 | − | 0.824017i | \(-0.308272\pi\) | ||||
0.566565 | + | 0.824017i | \(0.308272\pi\) | |||||||
\(492\) | −2.01058 | + | 6.66783i | −0.0906441 | + | 0.300609i | ||||
\(493\) | 2.49190 | − | 4.31610i | 0.112230 | − | 0.194387i | ||||
\(494\) | 9.18152 | − | 9.21183i | 0.413096 | − | 0.414460i | ||||
\(495\) | −5.36765 | − | 0.369451i | −0.241258 | − | 0.0166056i | ||||
\(496\) | 11.4462 | − | 6.70944i | 0.513950 | − | 0.301263i | ||||
\(497\) | 1.25801 | + | 14.4133i | 0.0564295 | + | 0.646526i | ||||
\(498\) | 7.31402 | − | 11.7622i | 0.327749 | − | 0.527078i | ||||
\(499\) | 9.19695 | − | 5.30986i | 0.411712 | − | 0.237702i | −0.279813 | − | 0.960054i | \(-0.590273\pi\) |
0.691525 | + | 0.722353i | \(0.256939\pi\) | |||||||
\(500\) | −12.2335 | − | 21.0287i | −0.547098 | − | 0.940431i | ||||
\(501\) | −10.0407 | + | 9.37332i | −0.448583 | + | 0.418769i | ||||
\(502\) | −27.1108 | + | 7.31222i | −1.21001 | + | 0.326360i | ||||
\(503\) | 13.3046 | 0.593223 | 0.296612 | − | 0.954998i | \(-0.404143\pi\) | ||||
0.296612 | + | 0.954998i | \(0.404143\pi\) | |||||||
\(504\) | 15.5006 | − | 16.2398i | 0.690453 | − | 0.723377i | ||||
\(505\) | 26.1892 | 1.16540 | ||||||||
\(506\) | 10.8330 | − | 2.92183i | 0.481586 | − | 0.129891i | ||||
\(507\) | 8.71605 | − | 8.13675i | 0.387093 | − | 0.361366i | ||||
\(508\) | 7.82073 | − | 4.54973i | 0.346989 | − | 0.201862i | ||||
\(509\) | 20.2595 | − | 11.6968i | 0.897985 | − | 0.518452i | 0.0214392 | − | 0.999770i | \(-0.493175\pi\) |
0.876546 | + | 0.481318i | \(0.159842\pi\) | |||||||
\(510\) | 15.4065 | − | 24.7763i | 0.682211 | − | 1.09711i | ||||
\(511\) | −15.7405 | − | 7.34385i | −0.696318 | − | 0.324873i | ||||
\(512\) | −15.7610 | + | 16.2355i | −0.696544 | + | 0.717515i | ||||
\(513\) | −6.89536 | + | 18.0514i | −0.304438 | + | 0.796988i | ||||
\(514\) | 8.71791 | − | 8.74669i | 0.384531 | − | 0.385800i | ||||
\(515\) | −8.81956 | + | 15.2759i | −0.388636 | + | 0.673138i | ||||
\(516\) | −30.5012 | − | 9.19717i | −1.34274 | − | 0.404883i | ||||
\(517\) | −2.40326 | −0.105695 | ||||||||
\(518\) | 10.6843 | + | 8.93899i | 0.469442 | + | 0.392757i | ||||
\(519\) | −2.15900 | + | 7.07558i | −0.0947695 | + | 0.310584i | ||||
\(520\) | 12.1006 | + | 3.17832i | 0.530646 | + | 0.139379i | ||||
\(521\) | −0.735700 | + | 1.27427i | −0.0322316 | + | 0.0558267i | −0.881691 | − | 0.471827i | \(-0.843595\pi\) |
0.849460 | + | 0.527654i | \(0.176928\pi\) | |||||||
\(522\) | −3.11520 | + | 0.614396i | −0.136348 | + | 0.0268914i | ||||
\(523\) | 5.30372 | + | 9.18631i | 0.231915 | + | 0.401689i | 0.958372 | − | 0.285523i | \(-0.0921674\pi\) |
−0.726456 | + | 0.687213i | \(0.758834\pi\) | |||||||
\(524\) | 15.3762 | − | 26.8362i | 0.671713 | − | 1.17235i | ||||
\(525\) | −2.55275 | − | 7.84749i | −0.111411 | − | 0.342492i | ||||
\(526\) | 7.20089 | − | 27.0523i | 0.313974 | − | 1.17954i | ||||
\(527\) | 19.1290 | − | 11.0441i | 0.833272 | − | 0.481090i | ||||
\(528\) | 6.65764 | + | 1.98360i | 0.289737 | + | 0.0863252i | ||||
\(529\) | 19.8039 | − | 34.3014i | 0.861040 | − | 1.49137i | ||||
\(530\) | 30.9619 | − | 8.35092i | 1.34490 | − | 0.362741i | ||||
\(531\) | −14.2131 | + | 21.1216i | −0.616797 | + | 0.916597i | ||||
\(532\) | −17.8600 | − | 8.26119i | −0.774331 | − | 0.358168i | ||||
\(533\) | −4.97185 | −0.215355 | ||||||||
\(534\) | −1.18490 | + | 36.2083i | −0.0512754 | + | 1.56689i | ||||
\(535\) | −10.7845 | − | 6.22642i | −0.466254 | − | 0.269192i | ||||
\(536\) | −5.93874 | − | 21.7334i | −0.256514 | − | 0.938739i | ||||
\(537\) | 2.95118 | + | 12.7512i | 0.127353 | + | 0.550254i | ||||
\(538\) | −0.338381 | + | 1.27123i | −0.0145887 | + | 0.0548067i | ||||
\(539\) | 2.40331 | − | 6.59457i | 0.103518 | − | 0.284048i | ||||
\(540\) | −18.3446 | + | 2.99836i | −0.789426 | + | 0.129029i | ||||
\(541\) | −14.0009 | + | 8.08343i | −0.601946 | + | 0.347534i | −0.769807 | − | 0.638277i | \(-0.779647\pi\) |
0.167861 | + | 0.985811i | \(0.446314\pi\) | |||||||
\(542\) | 8.62415 | + | 8.59578i | 0.370439 | + | 0.369220i | ||||
\(543\) | −6.33350 | + | 5.91256i | −0.271797 | + | 0.253732i | ||||
\(544\) | −26.4167 | + | 26.8556i | −1.13261 | + | 1.15142i | ||||
\(545\) | 4.88190 | 0.209118 | ||||||||
\(546\) | 14.2946 | + | 7.24769i | 0.611751 | + | 0.310173i | ||||
\(547\) | 12.4170i | 0.530914i | 0.964123 | + | 0.265457i | \(0.0855228\pi\) | ||||
−0.964123 | + | 0.265457i | \(0.914477\pi\) | |||||||
\(548\) | 22.4287 | − | 0.0739115i | 0.958105 | − | 0.00315734i | ||||
\(549\) | −10.9114 | + | 5.33660i | −0.465687 | + | 0.227761i | ||||
\(550\) | 1.80266 | − | 1.80861i | 0.0768657 | − | 0.0771194i | ||||
\(551\) | 1.39159 | + | 2.41030i | 0.0592836 | + | 0.102682i | ||||
\(552\) | 34.1255 | − | 18.3858i | 1.45248 | − | 0.782553i | ||||
\(553\) | 7.70648 | + | 11.0108i | 0.327713 | + | 0.468228i | ||||
\(554\) | −10.7358 | + | 40.3321i | −0.456119 | + | 1.71355i | ||||
\(555\) | −2.60076 | − | 11.2371i | −0.110396 | − | 0.476989i | ||||
\(556\) | −31.0871 | + | 18.0850i | −1.31839 | + | 0.766974i | ||||
\(557\) | −10.7167 | + | 18.5619i | −0.454081 | + | 0.786492i | −0.998635 | − | 0.0522341i | \(-0.983366\pi\) |
0.544554 | + | 0.838726i | \(0.316699\pi\) | |||||||
\(558\) | −13.3183 | − | 4.54509i | −0.563810 | − | 0.192409i | ||||
\(559\) | − | 22.7431i | − | 0.961931i | ||||||
\(560\) | −1.77015 | − | 18.8462i | −0.0748023 | − | 0.796396i | ||||
\(561\) | 11.0617 | + | 3.37530i | 0.467026 | + | 0.142505i | ||||
\(562\) | −29.1190 | + | 7.85385i | −1.22831 | + | 0.331295i | ||||
\(563\) | −17.9430 | − | 10.3594i | −0.756205 | − | 0.436595i | 0.0717262 | − | 0.997424i | \(-0.477149\pi\) |
−0.827932 | + | 0.560829i | \(0.810483\pi\) | |||||||
\(564\) | −8.08274 | + | 1.89878i | −0.340345 | + | 0.0799532i | ||||
\(565\) | −0.475020 | − | 0.822758i | −0.0199842 | − | 0.0346137i | ||||
\(566\) | −28.4933 | − | 7.58447i | −1.19766 | − | 0.318799i | ||||
\(567\) | −23.7815 | − | 1.19916i | −0.998731 | − | 0.0503598i | ||||
\(568\) | −10.8827 | + | 10.9908i | −0.456627 | + | 0.461164i | ||||
\(569\) | −23.8691 | + | 13.7808i | −1.00064 | + | 0.577722i | −0.908439 | − | 0.418018i | \(-0.862725\pi\) |
−0.0922056 | + | 0.995740i | \(0.529392\pi\) | |||||||
\(570\) | 7.68065 | + | 14.3691i | 0.321707 | + | 0.601854i | ||||
\(571\) | −0.339940 | − | 0.196264i | −0.0142260 | − | 0.00821340i | 0.492870 | − | 0.870103i | \(-0.335948\pi\) |
−0.507096 | + | 0.861889i | \(0.669281\pi\) | |||||||
\(572\) | 0.0163430 | + | 4.95933i | 0.000683334 | + | 0.207360i | ||||
\(573\) | 6.12246 | − | 20.0649i | 0.255770 | − | 0.838222i | ||||
\(574\) | 2.58299 | + | 7.06500i | 0.107812 | + | 0.294888i | ||||
\(575\) | − | 14.2488i | − | 0.594214i | ||||||
\(576\) | 23.9585 | + | 1.41122i | 0.998270 | + | 0.0588007i | ||||
\(577\) | −12.7927 | − | 7.38589i | −0.532569 | − | 0.307479i | 0.209493 | − | 0.977810i | \(-0.432819\pi\) |
−0.742062 | + | 0.670331i | \(0.766152\pi\) | |||||||
\(578\) | −27.3006 | + | 27.3907i | −1.13555 | + | 1.13930i | ||||
\(579\) | 0.462751 | + | 1.99941i | 0.0192313 | + | 0.0830926i | ||||
\(580\) | −1.33097 | + | 2.32296i | −0.0552656 | + | 0.0964555i | ||||
\(581\) | −1.30083 | − | 14.9039i | −0.0539675 | − | 0.618319i | ||||
\(582\) | 2.27104 | − | 3.65222i | 0.0941375 | − | 0.151389i | ||||
\(583\) | 6.35591 | + | 11.0088i | 0.263235 | + | 0.455936i | ||||
\(584\) | −4.89452 | − | 17.9119i | −0.202536 | − | 0.741202i | ||||
\(585\) | −5.83019 | − | 11.9206i | −0.241049 | − | 0.492856i | ||||
\(586\) | 17.8950 | − | 4.82656i | 0.739235 | − | 0.199384i | ||||
\(587\) | 3.51421i | 0.145047i | 0.997367 | + | 0.0725236i | \(0.0231052\pi\) | ||||
−0.997367 | + | 0.0725236i | \(0.976895\pi\) | |||||||
\(588\) | 2.87262 | − | 24.0780i | 0.118465 | − | 0.992958i | ||||
\(589\) | 12.3350i | 0.508256i | ||||||||
\(590\) | 5.58992 | + | 20.7252i | 0.230133 | + | 0.853243i | ||||
\(591\) | 24.7029 | − | 23.0611i | 1.01614 | − | 0.948607i | ||||
\(592\) | 0.0981518 | + | 14.8921i | 0.00403401 | + | 0.612060i | ||||
\(593\) | −17.8824 | − | 30.9732i | −0.734342 | − | 1.27192i | −0.955012 | − | 0.296568i | \(-0.904158\pi\) |
0.220670 | − | 0.975349i | \(-0.429176\pi\) | |||||||
\(594\) | −3.01905 | − | 6.72135i | −0.123873 | − | 0.275781i | ||||
\(595\) | −2.74011 | − | 31.3941i | −0.112334 | − | 1.28703i | ||||
\(596\) | 1.60517 | + | 0.919706i | 0.0657504 | + | 0.0376726i | ||||
\(597\) | 24.8690 | − | 5.75578i | 1.01782 | − | 0.235568i | ||||
\(598\) | 19.6000 | + | 19.5355i | 0.801503 | + | 0.798866i | ||||
\(599\) | −35.4819 | − | 20.4855i | −1.44975 | − | 0.837014i | −0.451284 | − | 0.892380i | \(-0.649034\pi\) |
−0.998466 | + | 0.0553669i | \(0.982367\pi\) | |||||||
\(600\) | 4.63382 | − | 7.50705i | 0.189175 | − | 0.306474i | ||||
\(601\) | 36.1540i | 1.47475i | 0.675482 | + | 0.737377i | \(0.263936\pi\) | ||||
−0.675482 | + | 0.737377i | \(0.736064\pi\) | |||||||
\(602\) | −32.3180 | + | 11.8156i | −1.31718 | + | 0.481567i | ||||
\(603\) | −13.3413 | + | 19.8260i | −0.543300 | + | 0.807376i | ||||
\(604\) | 0.126110 | + | 38.2686i | 0.00513136 | + | 1.55713i | ||||
\(605\) | 15.4817 | + | 8.93835i | 0.629419 | + | 0.363395i | ||||
\(606\) | 16.9072 | + | 31.6303i | 0.686809 | + | 1.28489i | ||||
\(607\) | 9.04038 | − | 5.21946i | 0.366938 | − | 0.211851i | −0.305182 | − | 0.952294i | \(-0.598717\pi\) |
0.672120 | + | 0.740443i | \(0.265384\pi\) | |||||||
\(608\) | −5.61194 | − | 20.2744i | −0.227594 | − | 0.822237i | ||||
\(609\) | −2.29399 | + | 2.54948i | −0.0929573 | + | 0.103310i | ||||
\(610\) | −2.63441 | + | 9.89696i | −0.106664 | + | 0.400716i | ||||
\(611\) | −2.96367 | − | 5.13323i | −0.119897 | − | 0.207668i | ||||
\(612\) | 39.8700 | + | 2.61224i | 1.61165 | + | 0.105594i | ||||
\(613\) | −5.37925 | − | 3.10571i | −0.217266 | − | 0.125439i | 0.387418 | − | 0.921904i | \(-0.373367\pi\) |
−0.604684 | + | 0.796466i | \(0.706700\pi\) | |||||||
\(614\) | 6.86558 | + | 25.4548i | 0.277072 | + | 1.02727i | ||||
\(615\) | 1.81774 | − | 5.95720i | 0.0732984 | − | 0.240217i | ||||
\(616\) | 7.03872 | − | 2.59971i | 0.283598 | − | 0.104745i | ||||
\(617\) | 22.4963i | 0.905669i | 0.891595 | + | 0.452834i | \(0.149587\pi\) | ||||
−0.891595 | + | 0.452834i | \(0.850413\pi\) | |||||||
\(618\) | −24.1434 | − | 0.790078i | −0.971191 | − | 0.0317816i | ||||
\(619\) | −14.1624 | + | 24.5300i | −0.569235 | + | 0.985943i | 0.427407 | + | 0.904059i | \(0.359427\pi\) |
−0.996642 | + | 0.0818842i | \(0.973906\pi\) | |||||||
\(620\) | −10.2563 | + | 5.96660i | −0.411901 | + | 0.239624i | ||||
\(621\) | −38.4079 | − | 14.6712i | −1.54126 | − | 0.588737i | ||||
\(622\) | 27.1384 | + | 7.22380i | 1.08815 | + | 0.289648i | ||||
\(623\) | 22.4377 | + | 32.0584i | 0.898947 | + | 1.28439i | ||||
\(624\) | 3.97326 | + | 16.6665i | 0.159058 | + | 0.667194i | ||||
\(625\) | 6.37661 | + | 11.0446i | 0.255064 | + | 0.441785i | ||||
\(626\) | −2.69613 | − | 2.68726i | −0.107759 | − | 0.107404i | ||||
\(627\) | −4.72106 | + | 4.40728i | −0.188541 | + | 0.176010i | ||||
\(628\) | −0.0720863 | − | 21.8748i | −0.00287656 | − | 0.872899i | ||||
\(629\) | 24.7930i | 0.988563i | ||||||||
\(630\) | −13.9103 | + | 14.4777i | −0.554198 | + | 0.576807i | ||||
\(631\) | 8.51542 | 0.338993 | 0.169497 | − | 0.985531i | \(-0.445786\pi\) | ||||
0.169497 | + | 0.985531i | \(0.445786\pi\) | |||||||
\(632\) | −3.65000 | + | 13.8964i | −0.145189 | + | 0.552768i | ||||
\(633\) | −17.6393 | − | 18.8952i | −0.701101 | − | 0.751016i | ||||
\(634\) | −10.6881 | + | 10.7234i | −0.424479 | + | 0.425880i | ||||
\(635\) | −7.00758 | + | 4.04583i | −0.278087 | + | 0.160554i | ||||
\(636\) | 30.0743 | + | 32.0034i | 1.19252 | + | 1.26902i | ||||
\(637\) | 17.0494 | − | 2.99902i | 0.675520 | − | 0.118825i | ||||
\(638\) | −1.02554 | − | 0.272983i | −0.0406016 | − | 0.0108075i | ||||
\(639\) | 16.3666 | + | 1.12650i | 0.647452 | + | 0.0445636i | ||||
\(640\) | 14.1431 | − | 14.4732i | 0.559055 | − | 0.572102i | ||||
\(641\) | −0.0793494 | − | 0.0458124i | −0.00313411 | − | 0.00180948i | 0.498432 | − | 0.866929i | \(-0.333909\pi\) |
−0.501566 | + | 0.865119i | \(0.667243\pi\) | |||||||
\(642\) | 0.557778 | − | 17.0447i | 0.0220138 | − | 0.672702i | ||||
\(643\) | 5.89351 | 0.232417 | 0.116209 | − | 0.993225i | \(-0.462926\pi\) | ||||
0.116209 | + | 0.993225i | \(0.462926\pi\) | |||||||
\(644\) | 17.5773 | − | 38.0008i | 0.692644 | − | 1.49744i | ||||
\(645\) | 27.2505 | + | 8.31503i | 1.07299 | + | 0.327404i | ||||
\(646\) | −9.12017 | − | 33.8140i | −0.358828 | − | 1.33039i | ||||
\(647\) | 4.05903 | − | 7.03045i | 0.159577 | − | 0.276396i | −0.775139 | − | 0.631791i | \(-0.782320\pi\) |
0.934716 | + | 0.355395i | \(0.115654\pi\) | |||||||
\(648\) | −15.4642 | − | 20.2202i | −0.607492 | − | 0.794326i | ||||
\(649\) | −7.36901 | + | 4.25450i | −0.289259 | + | 0.167004i | ||||
\(650\) | 6.08611 | + | 1.62002i | 0.238717 | + | 0.0635426i | ||||
\(651\) | −14.4545 | + | 4.70200i | −0.566518 | + | 0.184286i | ||||
\(652\) | 10.5762 | − | 18.4587i | 0.414196 | − | 0.722899i | ||||
\(653\) | 16.7312 | + | 28.9792i | 0.654741 | + | 1.13404i | 0.981959 | + | 0.189095i | \(0.0605555\pi\) |
−0.327218 | + | 0.944949i | \(0.606111\pi\) | |||||||
\(654\) | 3.15166 | + | 5.89617i | 0.123240 | + | 0.230559i | ||||
\(655\) | −13.8302 | + | 23.9547i | −0.540392 | + | 0.935986i | ||||
\(656\) | −3.97489 | + | 6.99072i | −0.155193 | + | 0.272942i | ||||
\(657\) | −10.9955 | + | 16.3399i | −0.428974 | + | 0.637481i | ||||
\(658\) | −5.75463 | + | 6.87821i | −0.224339 | + | 0.268141i | ||||
\(659\) | −15.5448 | −0.605540 | −0.302770 | − | 0.953064i | \(-0.597911\pi\) | ||||
−0.302770 | + | 0.953064i | \(0.597911\pi\) | |||||||
\(660\) | −5.94816 | − | 1.79358i | −0.231532 | − | 0.0698150i | ||||
\(661\) | 15.4190 | − | 26.7065i | 0.599731 | − | 1.03876i | −0.393130 | − | 0.919483i | \(-0.628608\pi\) |
0.992861 | − | 0.119281i | \(-0.0380590\pi\) | |||||||
\(662\) | −21.8048 | − | 21.7331i | −0.847469 | − | 0.844681i | ||||
\(663\) | 6.43172 | + | 27.7896i | 0.249787 | + | 1.07926i | ||||
\(664\) | 11.2531 | − | 11.3649i | 0.436705 | − | 0.441044i | ||||
\(665\) | 15.9481 | + | 7.44072i | 0.618441 | + | 0.288539i | ||||
\(666\) | 11.8928 | − | 10.3956i | 0.460835 | − | 0.402820i | ||||
\(667\) | −5.12838 | + | 2.96087i | −0.198572 | + | 0.114646i | ||||
\(668\) | −13.7096 | + | 7.97562i | −0.530442 | + | 0.308586i | ||||
\(669\) | 9.00865 | + | 9.65002i | 0.348294 | + | 0.373091i | ||||
\(670\) | 5.24703 | + | 19.4539i | 0.202711 | + | 0.751571i | ||||
\(671\) | −4.05974 | −0.156725 | ||||||||
\(672\) | 21.6189 | − | 14.3046i | 0.833967 | − | 0.551814i | ||||
\(673\) | 3.84855 | 0.148351 | 0.0741753 | − | 0.997245i | \(-0.476368\pi\) | ||||
0.0741753 | + | 0.997245i | \(0.476368\pi\) | |||||||
\(674\) | 4.16534 | + | 15.4434i | 0.160443 | + | 0.594858i | ||||
\(675\) | −9.23956 | + | 1.47893i | −0.355631 | + | 0.0569239i | ||||
\(676\) | 11.9010 | − | 6.92345i | 0.457731 | − | 0.266286i | ||||
\(677\) | 32.5497 | − | 18.7926i | 1.25099 | − | 0.722257i | 0.279680 | − | 0.960093i | \(-0.409772\pi\) |
0.971305 | + | 0.237836i | \(0.0764382\pi\) | |||||||
\(678\) | 0.687032 | − | 1.10487i | 0.0263853 | − | 0.0424322i | ||||
\(679\) | −0.403913 | − | 4.62773i | −0.0155008 | − | 0.177596i | ||||
\(680\) | 23.7039 | − | 23.9394i | 0.909003 | − | 0.918034i | ||||
\(681\) | −26.6031 | + | 6.15711i | −1.01943 | + | 0.235941i | ||||
\(682\) | −3.33134 | − | 3.32038i | −0.127563 | − | 0.127144i | ||||
\(683\) | 1.02051 | − | 1.76757i | 0.0390487 | − | 0.0676343i | −0.845841 | − | 0.533436i | \(-0.820901\pi\) |
0.884889 | + | 0.465802i | \(0.154234\pi\) | |||||||
\(684\) | −12.3959 | + | 18.5528i | −0.473970 | + | 0.709384i | ||||
\(685\) | −20.0584 | −0.766394 | ||||||||
\(686\) | −13.1191 | − | 22.6691i | −0.500891 | − | 0.865510i | ||||
\(687\) | −29.2296 | − | 8.91894i | −1.11518 | − | 0.340279i | ||||
\(688\) | −31.9782 | − | 18.1826i | −1.21916 | − | 0.693207i | ||||
\(689\) | −15.6761 | + | 27.1517i | −0.597210 | + | 1.03440i | ||||
\(690\) | −30.5730 | + | 16.3421i | −1.16390 | + | 0.622133i | ||||
\(691\) | −11.7334 | − | 20.3229i | −0.446360 | − | 0.773119i | 0.551786 | − | 0.833986i | \(-0.313947\pi\) |
−0.998146 | + | 0.0608673i | \(0.980613\pi\) | |||||||
\(692\) | −4.24663 | + | 7.41168i | −0.161433 | + | 0.281750i | ||||
\(693\) | −6.96419 | − | 3.85225i | −0.264548 | − | 0.146335i | ||||
\(694\) | 27.1694 | + | 7.23206i | 1.03134 | + | 0.274525i | ||||
\(695\) | 27.8548 | − | 16.0820i | 1.05659 | − | 0.610025i | ||||
\(696\) | −3.66482 | − | 0.107840i | −0.138915 | − | 0.00408768i | ||||
\(697\) | −6.69401 | + | 11.5944i | −0.253554 | + | 0.439168i | ||||
\(698\) | −3.48149 | − | 12.9080i | −0.131776 | − | 0.488574i | ||||
\(699\) | −9.16868 | + | 30.0481i | −0.346791 | + | 1.13652i | ||||
\(700\) | −0.859818 | − | 9.49000i | −0.0324981 | − | 0.358688i | ||||
\(701\) | −15.4603 | −0.583926 | −0.291963 | − | 0.956430i | \(-0.594308\pi\) | ||||
−0.291963 | + | 0.956430i | \(0.594308\pi\) | |||||||
\(702\) | 10.6334 | − | 14.7372i | 0.401331 | − | 0.556220i | ||||
\(703\) | −11.9906 | − | 6.92275i | −0.452232 | − | 0.261096i | ||||
\(704\) | 6.98617 | + | 3.94190i | 0.263301 | + | 0.148566i | ||||
\(705\) | 7.23409 | − | 1.67428i | 0.272452 | − | 0.0630572i | ||||
\(706\) | −23.1817 | − | 6.17059i | −0.872454 | − | 0.232233i | ||||
\(707\) | 35.1062 | + | 16.3791i | 1.32030 | + | 0.615999i | ||||
\(708\) | −21.4223 | + | 20.1311i | −0.805101 | + | 0.756572i | ||||
\(709\) | 41.7153 | − | 24.0843i | 1.56665 | − | 0.904505i | 0.570093 | − | 0.821580i | \(-0.306907\pi\) |
0.996556 | − | 0.0829254i | \(-0.0264263\pi\) | |||||||
\(710\) | 9.76490 | − | 9.79713i | 0.366470 | − | 0.367680i | ||||
\(711\) | 13.6897 | − | 6.69542i | 0.513403 | − | 0.251098i | ||||
\(712\) | −10.6271 | + | 40.4598i | −0.398267 | + | 1.51630i | ||||
\(713\) | −26.2452 | −0.982891 | ||||||||
\(714\) | 36.1476 | − | 23.5768i | 1.35279 | − | 0.882341i | ||||
\(715\) | − | 4.43523i | − | 0.165868i | ||||||
\(716\) | 0.0498031 | + | 15.1129i | 0.00186123 | + | 0.564796i | ||||
\(717\) | 6.39481 | + | 6.85009i | 0.238819 | + | 0.255821i | ||||
\(718\) | 21.0689 | + | 20.9995i | 0.786283 | + | 0.783696i | ||||
\(719\) | −6.49021 | − | 11.2414i | −0.242044 | − | 0.419232i | 0.719252 | − | 0.694749i | \(-0.244484\pi\) |
−0.961296 | + | 0.275517i | \(0.911151\pi\) | |||||||
\(720\) | −21.4222 | − | 1.33268i | −0.798358 | − | 0.0496659i | ||||
\(721\) | −21.3763 | + | 14.9613i | −0.796094 | + | 0.557186i | ||||
\(722\) | −7.06603 | − | 1.88086i | −0.262970 | − | 0.0699985i | ||||
\(723\) | 36.2468 | − | 8.38909i | 1.34803 | − | 0.311994i | ||||
\(724\) | −8.64786 | + | 5.03091i | −0.321395 | + | 0.186972i | ||||
\(725\) | −0.673858 | + | 1.16716i | −0.0250264 | + | 0.0433471i | ||||
\(726\) | −0.800719 | + | 24.4686i | −0.0297175 | + | 0.908115i | ||||
\(727\) | 12.0095i | 0.445406i | 0.974886 | + | 0.222703i | \(0.0714880\pi\) | ||||
−0.974886 | + | 0.222703i | \(0.928512\pi\) | |||||||
\(728\) | 14.2329 | + | 11.8284i | 0.527506 | + | 0.438389i | ||||
\(729\) | −5.52704 | + | 26.4282i | −0.204705 | + | 0.978824i | ||||
\(730\) | 4.32444 | + | 16.0333i | 0.160055 | + | 0.593419i | ||||
\(731\) | −53.0370 | − | 30.6209i | −1.96164 | − | 1.13256i | ||||
\(732\) | −13.6539 | + | 3.20755i | −0.504662 | + | 0.118554i | ||||
\(733\) | −4.29808 | − | 7.44449i | −0.158753 | − | 0.274968i | 0.775666 | − | 0.631143i | \(-0.217414\pi\) |
−0.934419 | + | 0.356175i | \(0.884081\pi\) | |||||||
\(734\) | 0.524538 | − | 1.97058i | 0.0193610 | − | 0.0727355i | ||||
\(735\) | −2.63998 | + | 21.5247i | −0.0973770 | + | 0.793952i | ||||
\(736\) | 43.1379 | − | 11.9405i | 1.59008 | − | 0.440133i | ||||
\(737\) | −6.91700 | + | 3.99353i | −0.254791 | + | 0.147104i | ||||
\(738\) | 8.36837 | − | 1.65046i | 0.308044 | − | 0.0607541i | ||||
\(739\) | 2.25350 | + | 1.30106i | 0.0828963 | + | 0.0478602i | 0.540875 | − | 0.841103i | \(-0.318093\pi\) |
−0.457979 | + | 0.888963i | \(0.651426\pi\) | |||||||
\(740\) | −0.0438896 | − | 13.3184i | −0.00161342 | − | 0.489595i | ||||
\(741\) | −15.2356 | − | 4.64891i | −0.559695 | − | 0.170782i | ||||
\(742\) | 46.7267 | + | 8.16974i | 1.71539 | + | 0.299921i | ||||
\(743\) | − | 13.4061i | − | 0.491823i | −0.969292 | − | 0.245911i | \(-0.920913\pi\) | ||
0.969292 | − | 0.245911i | \(-0.0790872\pi\) | |||||||
\(744\) | −13.8275 | − | 8.53518i | −0.506940 | − | 0.312915i | ||||
\(745\) | −1.43281 | − | 0.827235i | −0.0524942 | − | 0.0303075i | ||||
\(746\) | −21.7860 | − | 21.7143i | −0.797642 | − | 0.795018i | ||||
\(747\) | −16.9237 | − | 1.16484i | −0.619204 | − | 0.0426193i | ||||
\(748\) | 11.5872 | + | 6.63904i | 0.423669 | + | 0.242747i | ||||
\(749\) | −10.5623 | − | 15.0912i | −0.385939 | − | 0.551420i | ||||
\(750\) | −15.7339 | + | 25.3029i | −0.574522 | + | 0.923932i | ||||
\(751\) | −7.86182 | − | 13.6171i | −0.286882 | − | 0.496894i | 0.686182 | − | 0.727430i | \(-0.259285\pi\) |
−0.973064 | + | 0.230536i | \(0.925952\pi\) | |||||||
\(752\) | −9.58701 | + | 0.0631869i | −0.349602 | + | 0.00230419i | ||||
\(753\) | 23.4679 | + | 25.1387i | 0.855218 | + | 0.916105i | ||||
\(754\) | −0.681609 | − | 2.52714i | −0.0248228 | − | 0.0920329i | ||||
\(755\) | − | 34.2244i | − | 1.24555i | ||||||
\(756\) | −26.4659 | − | 7.45373i | −0.962554 | − | 0.271090i | ||||
\(757\) | − | 48.7626i | − | 1.77231i | −0.463391 | − | 0.886154i | \(-0.653367\pi\) | ||
0.463391 | − | 0.886154i | \(-0.346633\pi\) | |||||||
\(758\) | −2.48913 | + | 0.671359i | −0.0904094 | + | 0.0243849i | ||||
\(759\) | −9.37736 | − | 10.0450i | −0.340377 | − | 0.364610i | ||||
\(760\) | 4.95908 | + | 18.1482i | 0.179885 | + | 0.658305i | ||||
\(761\) | −21.7170 | − | 37.6149i | −0.787240 | − | 1.36354i | −0.927652 | − | 0.373447i | \(-0.878176\pi\) |
0.140411 | − | 0.990093i | \(-0.455158\pi\) | |||||||
\(762\) | −9.41036 | − | 5.85158i | −0.340901 | − | 0.211980i | ||||
\(763\) | 6.54411 | + | 3.05321i | 0.236913 | + | 0.110534i | ||||
\(764\) | 12.0426 | − | 21.0180i | 0.435684 | − | 0.760403i | ||||
\(765\) | −35.6486 | − | 2.45366i | −1.28888 | − | 0.0887123i | ||||
\(766\) | 9.60551 | − | 9.63722i | 0.347061 | − | 0.348207i | ||||
\(767\) | −18.1747 | − | 10.4932i | −0.656252 | − | 0.378887i | ||||
\(768\) | 26.6106 | + | 7.73788i | 0.960228 | + | 0.279217i | ||||
\(769\) | − | 23.9226i | − | 0.862670i | −0.902192 | − | 0.431335i | \(-0.858043\pi\) | ||
0.902192 | − | 0.431335i | \(-0.141957\pi\) | |||||||
\(770\) | −6.30247 | + | 2.30421i | −0.227125 | + | 0.0830379i | ||||
\(771\) | −14.4663 | − | 4.41417i | −0.520993 | − | 0.158972i | ||||
\(772\) | 0.00780924 | + | 2.36974i | 0.000281061 | + | 0.0852886i |