Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(14,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.c (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 14.8 | ||
Character | \(\chi\) | \(=\) | 197.14 |
Dual form | 197.3.c.a.183.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.84369 | + | 1.84369i | −0.921843 | + | 0.921843i | −0.997160 | − | 0.0753169i | \(-0.976003\pi\) |
0.0753169 | + | 0.997160i | \(0.476003\pi\) | |||||||
\(3\) | −1.89732 | + | 1.89732i | −0.632440 | + | 0.632440i | −0.948679 | − | 0.316239i | \(-0.897580\pi\) |
0.316239 | + | 0.948679i | \(0.397580\pi\) | |||||||
\(4\) | − | 2.79835i | − | 0.699588i | ||||||
\(5\) | 6.24444 | − | 6.24444i | 1.24889 | − | 1.24889i | 0.292675 | − | 0.956212i | \(-0.405454\pi\) |
0.956212 | − | 0.292675i | \(-0.0945455\pi\) | |||||||
\(6\) | − | 6.99613i | − | 1.16602i | ||||||
\(7\) | 9.93768i | 1.41967i | 0.704369 | + | 0.709834i | \(0.251230\pi\) | ||||
−0.704369 | + | 0.709834i | \(0.748770\pi\) | |||||||
\(8\) | −2.21546 | − | 2.21546i | −0.276933 | − | 0.276933i | ||||
\(9\) | 1.80035i | 0.200039i | ||||||||
\(10\) | 23.0256i | 2.30256i | ||||||||
\(11\) | −8.38589 | + | 8.38589i | −0.762354 | + | 0.762354i | −0.976747 | − | 0.214394i | \(-0.931222\pi\) |
0.214394 | + | 0.976747i | \(0.431222\pi\) | |||||||
\(12\) | 5.30937 | + | 5.30937i | 0.442448 | + | 0.442448i | ||||
\(13\) | −3.75764 | + | 3.75764i | −0.289049 | + | 0.289049i | −0.836704 | − | 0.547655i | \(-0.815521\pi\) |
0.547655 | + | 0.836704i | \(0.315521\pi\) | |||||||
\(14\) | −18.3220 | − | 18.3220i | −1.30871 | − | 1.30871i | ||||
\(15\) | 23.6954i | 1.57969i | ||||||||
\(16\) | 19.3626 | 1.21016 | ||||||||
\(17\) | −9.45941 | − | 9.45941i | −0.556436 | − | 0.556436i | 0.371855 | − | 0.928291i | \(-0.378722\pi\) |
−0.928291 | + | 0.371855i | \(0.878722\pi\) | |||||||
\(18\) | −3.31927 | − | 3.31927i | −0.184404 | − | 0.184404i | ||||
\(19\) | 14.2722i | 0.751168i | 0.926788 | + | 0.375584i | \(0.122558\pi\) | ||||
−0.926788 | + | 0.375584i | \(0.877442\pi\) | |||||||
\(20\) | −17.4741 | − | 17.4741i | −0.873707 | − | 0.873707i | ||||
\(21\) | −18.8550 | − | 18.8550i | −0.897855 | − | 0.897855i | ||||
\(22\) | − | 30.9219i | − | 1.40554i | ||||||
\(23\) | −13.7509 | −0.597864 | −0.298932 | − | 0.954274i | \(-0.596630\pi\) | ||||
−0.298932 | + | 0.954274i | \(0.596630\pi\) | |||||||
\(24\) | 8.40688 | 0.350287 | ||||||||
\(25\) | − | 52.9860i | − | 2.11944i | ||||||
\(26\) | − | 13.8558i | − | 0.532915i | ||||||
\(27\) | −20.4917 | − | 20.4917i | −0.758953 | − | 0.758953i | ||||
\(28\) | 27.8091 | 0.993183 | ||||||||
\(29\) | 24.6517 | 0.850059 | 0.425030 | − | 0.905179i | \(-0.360264\pi\) | ||||
0.425030 | + | 0.905179i | \(0.360264\pi\) | |||||||
\(30\) | −43.6869 | − | 43.6869i | −1.45623 | − | 1.45623i | ||||
\(31\) | −15.2126 | + | 15.2126i | −0.490730 | + | 0.490730i | −0.908536 | − | 0.417806i | \(-0.862799\pi\) |
0.417806 | + | 0.908536i | \(0.362799\pi\) | |||||||
\(32\) | −26.8368 | + | 26.8368i | −0.838649 | + | 0.838649i | ||||
\(33\) | − | 31.8215i | − | 0.964287i | ||||||
\(34\) | 34.8804 | 1.02589 | ||||||||
\(35\) | 62.0552 | + | 62.0552i | 1.77301 | + | 1.77301i | ||||
\(36\) | 5.03800 | 0.139945 | ||||||||
\(37\) | −73.8706 | −1.99650 | −0.998252 | − | 0.0591081i | \(-0.981174\pi\) | ||||
−0.998252 | + | 0.0591081i | \(0.981174\pi\) | |||||||
\(38\) | −26.3134 | − | 26.3134i | −0.692459 | − | 0.692459i | ||||
\(39\) | − | 14.2589i | − | 0.365612i | ||||||
\(40\) | −27.6686 | −0.691715 | ||||||||
\(41\) | 61.6384i | 1.50338i | 0.659519 | + | 0.751688i | \(0.270760\pi\) | ||||
−0.659519 | + | 0.751688i | \(0.729240\pi\) | |||||||
\(42\) | 69.5252 | 1.65536 | ||||||||
\(43\) | 35.7306i | 0.830944i | 0.909606 | + | 0.415472i | \(0.136384\pi\) | ||||
−0.909606 | + | 0.415472i | \(0.863616\pi\) | |||||||
\(44\) | 23.4667 | + | 23.4667i | 0.533334 | + | 0.533334i | ||||
\(45\) | 11.2422 | + | 11.2422i | 0.249826 | + | 0.249826i | ||||
\(46\) | 25.3523 | − | 25.3523i | 0.551136 | − | 0.551136i | ||||
\(47\) | − | 76.9664i | − | 1.63758i | −0.574091 | − | 0.818791i | \(-0.694645\pi\) | ||
0.574091 | − | 0.818791i | \(-0.305355\pi\) | |||||||
\(48\) | −36.7371 | + | 36.7371i | −0.765357 | + | 0.765357i | ||||
\(49\) | −49.7574 | −1.01546 | ||||||||
\(50\) | 97.6895 | + | 97.6895i | 1.95379 | + | 1.95379i | ||||
\(51\) | 35.8951 | 0.703825 | ||||||||
\(52\) | 10.5152 | + | 10.5152i | 0.202215 | + | 0.202215i | ||||
\(53\) | 32.3548 | 0.610468 | 0.305234 | − | 0.952277i | \(-0.401265\pi\) | ||||
0.305234 | + | 0.952277i | \(0.401265\pi\) | |||||||
\(54\) | 75.5606 | 1.39927 | ||||||||
\(55\) | 104.730i | 1.90419i | ||||||||
\(56\) | 22.0165 | − | 22.0165i | 0.393152 | − | 0.393152i | ||||
\(57\) | −27.0789 | − | 27.0789i | −0.475069 | − | 0.475069i | ||||
\(58\) | −45.4500 | + | 45.4500i | −0.783621 | + | 0.783621i | ||||
\(59\) | −54.4486 | −0.922857 | −0.461429 | − | 0.887177i | \(-0.652663\pi\) | ||||
−0.461429 | + | 0.887177i | \(0.652663\pi\) | |||||||
\(60\) | 66.3081 | 1.10513 | ||||||||
\(61\) | −17.1333 | −0.280874 | −0.140437 | − | 0.990090i | \(-0.544851\pi\) | ||||
−0.140437 | + | 0.990090i | \(0.544851\pi\) | |||||||
\(62\) | − | 56.0946i | − | 0.904751i | ||||||
\(63\) | −17.8913 | −0.283988 | ||||||||
\(64\) | − | 21.5066i | − | 0.336040i | ||||||
\(65\) | 46.9286i | 0.721979i | ||||||||
\(66\) | 58.6688 | + | 58.6688i | 0.888921 | + | 0.888921i | ||||
\(67\) | 1.09112 | − | 1.09112i | 0.0162853 | − | 0.0162853i | −0.698917 | − | 0.715203i | \(-0.746334\pi\) |
0.715203 | + | 0.698917i | \(0.246334\pi\) | |||||||
\(68\) | −26.4708 | + | 26.4708i | −0.389276 | + | 0.389276i | ||||
\(69\) | 26.0898 | − | 26.0898i | 0.378113 | − | 0.378113i | ||||
\(70\) | −228.820 | −3.26886 | ||||||||
\(71\) | 26.4633 | + | 26.4633i | 0.372722 | + | 0.372722i | 0.868468 | − | 0.495746i | \(-0.165105\pi\) |
−0.495746 | + | 0.868468i | \(0.665105\pi\) | |||||||
\(72\) | 3.98860 | − | 3.98860i | 0.0553972 | − | 0.0553972i | ||||
\(73\) | 46.8996 | − | 46.8996i | 0.642460 | − | 0.642460i | −0.308699 | − | 0.951160i | \(-0.599894\pi\) |
0.951160 | + | 0.308699i | \(0.0998937\pi\) | |||||||
\(74\) | 136.194 | − | 136.194i | 1.84046 | − | 1.84046i | ||||
\(75\) | 100.531 | + | 100.531i | 1.34042 | + | 1.34042i | ||||
\(76\) | 39.9386 | 0.525508 | ||||||||
\(77\) | −83.3363 | − | 83.3363i | −1.08229 | − | 1.08229i | ||||
\(78\) | 26.2889 | + | 26.2889i | 0.337037 | + | 0.337037i | ||||
\(79\) | 110.202 | + | 110.202i | 1.39497 | + | 1.39497i | 0.813744 | + | 0.581224i | \(0.197426\pi\) |
0.581224 | + | 0.813744i | \(0.302574\pi\) | |||||||
\(80\) | 120.909 | − | 120.909i | 1.51136 | − | 1.51136i | ||||
\(81\) | 61.5556 | 0.759946 | ||||||||
\(82\) | −113.642 | − | 113.642i | −1.38588 | − | 1.38588i | ||||
\(83\) | 37.3833i | 0.450401i | 0.974312 | + | 0.225201i | \(0.0723037\pi\) | ||||
−0.974312 | + | 0.225201i | \(0.927696\pi\) | |||||||
\(84\) | −52.7628 | + | 52.7628i | −0.628129 | + | 0.628129i | ||||
\(85\) | −118.137 | −1.38985 | ||||||||
\(86\) | −65.8760 | − | 65.8760i | −0.766000 | − | 0.766000i | ||||
\(87\) | −46.7722 | + | 46.7722i | −0.537612 | + | 0.537612i | ||||
\(88\) | 37.1572 | 0.422241 | ||||||||
\(89\) | 16.9595 | + | 16.9595i | 0.190557 | + | 0.190557i | 0.795937 | − | 0.605380i | \(-0.206979\pi\) |
−0.605380 | + | 0.795937i | \(0.706979\pi\) | |||||||
\(90\) | −41.4540 | −0.460600 | ||||||||
\(91\) | −37.3422 | − | 37.3422i | −0.410354 | − | 0.410354i | ||||
\(92\) | 38.4798i | 0.418258i | ||||||||
\(93\) | − | 57.7265i | − | 0.620715i | ||||||
\(94\) | 141.902 | + | 141.902i | 1.50959 | + | 1.50959i | ||||
\(95\) | 89.1218 | + | 89.1218i | 0.938125 | + | 0.938125i | ||||
\(96\) | − | 101.836i | − | 1.06079i | ||||||
\(97\) | 149.988i | 1.54627i | 0.634241 | + | 0.773136i | \(0.281313\pi\) | ||||
−0.634241 | + | 0.773136i | \(0.718687\pi\) | |||||||
\(98\) | 91.7370 | − | 91.7370i | 0.936092 | − | 0.936092i | ||||
\(99\) | −15.0975 | − | 15.0975i | −0.152500 | − | 0.152500i | ||||
\(100\) | −148.273 | −1.48273 | ||||||||
\(101\) | 73.8825 | 0.731509 | 0.365755 | − | 0.930711i | \(-0.380811\pi\) | ||||
0.365755 | + | 0.930711i | \(0.380811\pi\) | |||||||
\(102\) | −66.1792 | + | 66.1792i | −0.648816 | + | 0.648816i | ||||
\(103\) | −9.44382 | + | 9.44382i | −0.0916875 | + | 0.0916875i | −0.751463 | − | 0.659775i | \(-0.770651\pi\) |
0.659775 | + | 0.751463i | \(0.270651\pi\) | |||||||
\(104\) | 16.6498 | 0.160094 | ||||||||
\(105\) | −235.477 | −2.24264 | ||||||||
\(106\) | −59.6520 | + | 59.6520i | −0.562755 | + | 0.562755i | ||||
\(107\) | 66.4183i | 0.620732i | 0.950617 | + | 0.310366i | \(0.100452\pi\) | ||||
−0.950617 | + | 0.310366i | \(0.899548\pi\) | |||||||
\(108\) | −57.3431 | + | 57.3431i | −0.530954 | + | 0.530954i | ||||
\(109\) | − | 172.012i | − | 1.57809i | −0.614332 | − | 0.789047i | \(-0.710575\pi\) | ||
0.614332 | − | 0.789047i | \(-0.289425\pi\) | |||||||
\(110\) | −193.090 | − | 193.090i | −1.75536 | − | 1.75536i | ||||
\(111\) | 140.156 | − | 140.156i | 1.26267 | − | 1.26267i | ||||
\(112\) | 192.420i | 1.71803i | ||||||||
\(113\) | 150.739 | + | 150.739i | 1.33397 | + | 1.33397i | 0.901783 | + | 0.432188i | \(0.142258\pi\) |
0.432188 | + | 0.901783i | \(0.357742\pi\) | |||||||
\(114\) | 99.8501 | 0.875878 | ||||||||
\(115\) | −85.8664 | + | 85.8664i | −0.746665 | + | 0.746665i | ||||
\(116\) | − | 68.9842i | − | 0.594691i | ||||||
\(117\) | −6.76505 | − | 6.76505i | −0.0578209 | − | 0.0578209i | ||||
\(118\) | 100.386 | − | 100.386i | 0.850729 | − | 0.850729i | ||||
\(119\) | 94.0046 | − | 94.0046i | 0.789955 | − | 0.789955i | ||||
\(120\) | 52.4962 | − | 52.4962i | 0.437469 | − | 0.437469i | ||||
\(121\) | − | 19.6464i | − | 0.162367i | ||||||
\(122\) | 31.5884 | − | 31.5884i | 0.258922 | − | 0.258922i | ||||
\(123\) | −116.948 | − | 116.948i | −0.950796 | − | 0.950796i | ||||
\(124\) | 42.5703 | + | 42.5703i | 0.343309 | + | 0.343309i | ||||
\(125\) | −174.757 | − | 174.757i | −1.39805 | − | 1.39805i | ||||
\(126\) | 32.9859 | − | 32.9859i | 0.261793 | − | 0.261793i | ||||
\(127\) | − | 7.94707i | − | 0.0625754i | −0.999510 | − | 0.0312877i | \(-0.990039\pi\) | ||
0.999510 | − | 0.0312877i | \(-0.00996081\pi\) | |||||||
\(128\) | −67.6957 | − | 67.6957i | −0.528873 | − | 0.528873i | ||||
\(129\) | −67.7924 | − | 67.7924i | −0.525523 | − | 0.525523i | ||||
\(130\) | −86.5217 | − | 86.5217i | −0.665551 | − | 0.665551i | ||||
\(131\) | 19.7271 | − | 19.7271i | 0.150588 | − | 0.150588i | −0.627792 | − | 0.778381i | \(-0.716041\pi\) |
0.778381 | + | 0.627792i | \(0.216041\pi\) | |||||||
\(132\) | −89.0476 | −0.674603 | ||||||||
\(133\) | −141.833 | −1.06641 | ||||||||
\(134\) | 4.02335i | 0.0300250i | ||||||||
\(135\) | −255.919 | −1.89569 | ||||||||
\(136\) | 41.9139i | 0.308191i | ||||||||
\(137\) | 87.1116i | 0.635851i | 0.948116 | + | 0.317925i | \(0.102986\pi\) | ||||
−0.948116 | + | 0.317925i | \(0.897014\pi\) | |||||||
\(138\) | 96.2028i | 0.697122i | ||||||||
\(139\) | −169.421 | − | 169.421i | −1.21886 | − | 1.21886i | −0.968032 | − | 0.250825i | \(-0.919298\pi\) |
−0.250825 | − | 0.968032i | \(-0.580702\pi\) | |||||||
\(140\) | 173.652 | − | 173.652i | 1.24037 | − | 1.24037i | ||||
\(141\) | 146.030 | + | 146.030i | 1.03567 | + | 1.03567i | ||||
\(142\) | −97.5798 | −0.687182 | ||||||||
\(143\) | − | 63.0223i | − | 0.440715i | ||||||
\(144\) | 34.8595i | 0.242080i | ||||||||
\(145\) | 153.936 | − | 153.936i | 1.06163 | − | 1.06163i | ||||
\(146\) | 172.936i | 1.18449i | ||||||||
\(147\) | 94.4058 | − | 94.4058i | 0.642216 | − | 0.642216i | ||||
\(148\) | 206.716i | 1.39673i | ||||||||
\(149\) | 107.539 | + | 107.539i | 0.721735 | + | 0.721735i | 0.968958 | − | 0.247223i | \(-0.0795182\pi\) |
−0.247223 | + | 0.968958i | \(0.579518\pi\) | |||||||
\(150\) | −370.696 | −2.47131 | ||||||||
\(151\) | 9.51203 | + | 9.51203i | 0.0629936 | + | 0.0629936i | 0.737902 | − | 0.674908i | \(-0.235817\pi\) |
−0.674908 | + | 0.737902i | \(0.735817\pi\) | |||||||
\(152\) | 31.6195 | − | 31.6195i | 0.208023 | − | 0.208023i | ||||
\(153\) | 17.0302 | − | 17.0302i | 0.111309 | − | 0.111309i | ||||
\(154\) | 307.292 | 1.99540 | ||||||||
\(155\) | 189.989i | 1.22573i | ||||||||
\(156\) | −39.9014 | −0.255778 | ||||||||
\(157\) | 212.101i | 1.35096i | 0.737376 | + | 0.675482i | \(0.236065\pi\) | ||||
−0.737376 | + | 0.675482i | \(0.763935\pi\) | |||||||
\(158\) | −406.357 | −2.57188 | ||||||||
\(159\) | −61.3874 | + | 61.3874i | −0.386084 | + | 0.386084i | ||||
\(160\) | 335.161i | 2.09476i | ||||||||
\(161\) | − | 136.652i | − | 0.848768i | ||||||
\(162\) | −113.489 | + | 113.489i | −0.700551 | + | 0.700551i | ||||
\(163\) | 28.6411i | 0.175712i | 0.996133 | + | 0.0878560i | \(0.0280015\pi\) | ||||
−0.996133 | + | 0.0878560i | \(0.971998\pi\) | |||||||
\(164\) | 172.486 | 1.05174 | ||||||||
\(165\) | −198.707 | − | 198.707i | −1.20429 | − | 1.20429i | ||||
\(166\) | −68.9230 | − | 68.9230i | −0.415199 | − | 0.415199i | ||||
\(167\) | 137.557 | − | 137.557i | 0.823696 | − | 0.823696i | −0.162940 | − | 0.986636i | \(-0.552098\pi\) |
0.986636 | + | 0.162940i | \(0.0520978\pi\) | |||||||
\(168\) | 83.5449i | 0.497291i | ||||||||
\(169\) | 140.760i | 0.832901i | ||||||||
\(170\) | 217.808 | − | 217.808i | 1.28122 | − | 1.28122i | ||||
\(171\) | −25.6949 | −0.150263 | ||||||||
\(172\) | 99.9868 | 0.581319 | ||||||||
\(173\) | − | 121.271i | − | 0.700986i | −0.936565 | − | 0.350493i | \(-0.886014\pi\) | ||
0.936565 | − | 0.350493i | \(-0.113986\pi\) | |||||||
\(174\) | − | 172.467i | − | 0.991187i | ||||||
\(175\) | 526.557 | 3.00890 | ||||||||
\(176\) | −162.373 | + | 162.373i | −0.922574 | + | 0.922574i | ||||
\(177\) | 103.306 | − | 103.306i | 0.583652 | − | 0.583652i | ||||
\(178\) | −62.5361 | −0.351326 | ||||||||
\(179\) | 76.9802 | − | 76.9802i | 0.430057 | − | 0.430057i | −0.458591 | − | 0.888648i | \(-0.651646\pi\) |
0.888648 | + | 0.458591i | \(0.151646\pi\) | |||||||
\(180\) | 31.4595 | − | 31.4595i | 0.174775 | − | 0.174775i | ||||
\(181\) | − | 94.7437i | − | 0.523446i | −0.965143 | − | 0.261723i | \(-0.915709\pi\) | ||
0.965143 | − | 0.261723i | \(-0.0842907\pi\) | |||||||
\(182\) | 137.694 | 0.756563 | ||||||||
\(183\) | 32.5074 | − | 32.5074i | 0.177636 | − | 0.177636i | ||||
\(184\) | 30.4645 | + | 30.4645i | 0.165568 | + | 0.165568i | ||||
\(185\) | −461.280 | + | 461.280i | −2.49341 | + | 2.49341i | ||||
\(186\) | 106.429 | + | 106.429i | 0.572201 | + | 0.572201i | ||||
\(187\) | 158.651 | 0.848402 | ||||||||
\(188\) | −215.379 | −1.14563 | ||||||||
\(189\) | 203.640 | − | 203.640i | 1.07746 | − | 1.07746i | ||||
\(190\) | −328.625 | −1.72961 | ||||||||
\(191\) | 213.364 | 1.11709 | 0.558545 | − | 0.829474i | \(-0.311360\pi\) | ||||
0.558545 | + | 0.829474i | \(0.311360\pi\) | |||||||
\(192\) | 40.8048 | + | 40.8048i | 0.212525 | + | 0.212525i | ||||
\(193\) | 103.019 | 0.533780 | 0.266890 | − | 0.963727i | \(-0.414004\pi\) | ||||
0.266890 | + | 0.963727i | \(0.414004\pi\) | |||||||
\(194\) | −276.531 | − | 276.531i | −1.42542 | − | 1.42542i | ||||
\(195\) | −89.0387 | − | 89.0387i | −0.456609 | − | 0.456609i | ||||
\(196\) | 139.239i | 0.710402i | ||||||||
\(197\) | 186.398 | + | 63.7558i | 0.946182 | + | 0.323634i | ||||
\(198\) | 55.6701 | 0.281162 | ||||||||
\(199\) | 120.592 | − | 120.592i | 0.605992 | − | 0.605992i | −0.335904 | − | 0.941896i | \(-0.609042\pi\) |
0.941896 | + | 0.335904i | \(0.109042\pi\) | |||||||
\(200\) | −117.388 | + | 117.388i | −0.586942 | + | 0.586942i | ||||
\(201\) | 4.14040i | 0.0205990i | ||||||||
\(202\) | −136.216 | + | 136.216i | −0.674337 | + | 0.674337i | ||||
\(203\) | 244.981i | 1.20680i | ||||||||
\(204\) | − | 100.447i | − | 0.492388i | ||||||
\(205\) | 384.897 | + | 384.897i | 1.87755 | + | 1.87755i | ||||
\(206\) | − | 34.8229i | − | 0.169043i | ||||||
\(207\) | − | 24.7563i | − | 0.119596i | ||||||
\(208\) | −72.7577 | + | 72.7577i | −0.349797 | + | 0.349797i | ||||
\(209\) | −119.685 | − | 119.685i | −0.572656 | − | 0.572656i | ||||
\(210\) | 434.146 | − | 434.146i | 2.06736 | − | 2.06736i | ||||
\(211\) | 202.083 | + | 202.083i | 0.957741 | + | 0.957741i | 0.999143 | − | 0.0414018i | \(-0.0131824\pi\) |
−0.0414018 | + | 0.999143i | \(0.513182\pi\) | |||||||
\(212\) | − | 90.5401i | − | 0.427076i | ||||||
\(213\) | −100.419 | −0.471449 | ||||||||
\(214\) | −122.455 | − | 122.455i | −0.572217 | − | 0.572217i | ||||
\(215\) | 223.117 | + | 223.117i | 1.03776 | + | 1.03776i | ||||
\(216\) | 90.7972i | 0.420358i | ||||||||
\(217\) | −151.178 | − | 151.178i | −0.696673 | − | 0.696673i | ||||
\(218\) | 317.137 | + | 317.137i | 1.45476 | + | 1.45476i | ||||
\(219\) | 177.967i | 0.812635i | ||||||||
\(220\) | 293.072 | 1.33215 | ||||||||
\(221\) | 71.0901 | 0.321675 | ||||||||
\(222\) | 516.808i | 2.32796i | ||||||||
\(223\) | − | 31.3570i | − | 0.140614i | −0.997525 | − | 0.0703072i | \(-0.977602\pi\) | ||
0.997525 | − | 0.0703072i | \(-0.0223980\pi\) | |||||||
\(224\) | −266.695 | − | 266.695i | −1.19060 | − | 1.19060i | ||||
\(225\) | 95.3931 | 0.423969 | ||||||||
\(226\) | −555.830 | −2.45942 | ||||||||
\(227\) | −214.583 | − | 214.583i | −0.945299 | − | 0.945299i | 0.0532805 | − | 0.998580i | \(-0.483032\pi\) |
−0.998580 | + | 0.0532805i | \(0.983032\pi\) | |||||||
\(228\) | −75.7764 | + | 75.7764i | −0.332353 | + | 0.332353i | ||||
\(229\) | −37.5633 | + | 37.5633i | −0.164032 | + | 0.164032i | −0.784350 | − | 0.620318i | \(-0.787003\pi\) |
0.620318 | + | 0.784350i | \(0.287003\pi\) | |||||||
\(230\) | − | 316.621i | − | 1.37661i | ||||||
\(231\) | 316.231 | 1.36897 | ||||||||
\(232\) | −54.6149 | − | 54.6149i | −0.235409 | − | 0.235409i | ||||
\(233\) | −151.782 | −0.651424 | −0.325712 | − | 0.945469i | \(-0.605604\pi\) | ||||
−0.325712 | + | 0.945469i | \(0.605604\pi\) | |||||||
\(234\) | 24.9452 | 0.106604 | ||||||||
\(235\) | −480.612 | − | 480.612i | −2.04516 | − | 2.04516i | ||||
\(236\) | 152.366i | 0.645620i | ||||||||
\(237\) | −418.179 | −1.76447 | ||||||||
\(238\) | 346.630i | 1.45643i | ||||||||
\(239\) | 136.734 | 0.572108 | 0.286054 | − | 0.958213i | \(-0.407656\pi\) | ||||
0.286054 | + | 0.958213i | \(0.407656\pi\) | |||||||
\(240\) | 458.805i | 1.91169i | ||||||||
\(241\) | −37.4491 | − | 37.4491i | −0.155391 | − | 0.155391i | 0.625130 | − | 0.780521i | \(-0.285046\pi\) |
−0.780521 | + | 0.625130i | \(0.785046\pi\) | |||||||
\(242\) | 36.2217 | + | 36.2217i | 0.149677 | + | 0.149677i | ||||
\(243\) | 67.6347 | − | 67.6347i | 0.278332 | − | 0.278332i | ||||
\(244\) | 47.9450i | 0.196496i | ||||||||
\(245\) | −310.707 | + | 310.707i | −1.26819 | + | 1.26819i | ||||
\(246\) | 431.230 | 1.75297 | ||||||||
\(247\) | −53.6297 | − | 53.6297i | −0.217124 | − | 0.217124i | ||||
\(248\) | 67.4059 | 0.271798 | ||||||||
\(249\) | −70.9281 | − | 70.9281i | −0.284852 | − | 0.284852i | ||||
\(250\) | 644.392 | 2.57757 | ||||||||
\(251\) | −86.6180 | −0.345092 | −0.172546 | − | 0.985002i | \(-0.555199\pi\) | ||||
−0.172546 | + | 0.985002i | \(0.555199\pi\) | |||||||
\(252\) | 50.0661i | 0.198675i | ||||||||
\(253\) | 115.313 | − | 115.313i | 0.455784 | − | 0.455784i | ||||
\(254\) | 14.6519 | + | 14.6519i | 0.0576846 | + | 0.0576846i | ||||
\(255\) | 224.145 | − | 224.145i | 0.878998 | − | 0.878998i | ||||
\(256\) | 335.645 | 1.31112 | ||||||||
\(257\) | −289.139 | −1.12505 | −0.562527 | − | 0.826779i | \(-0.690171\pi\) | ||||
−0.562527 | + | 0.826779i | \(0.690171\pi\) | |||||||
\(258\) | 249.976 | 0.968898 | ||||||||
\(259\) | − | 734.102i | − | 2.83437i | ||||||
\(260\) | 131.323 | 0.505088 | ||||||||
\(261\) | 44.3816i | 0.170045i | ||||||||
\(262\) | 72.7410i | 0.277638i | ||||||||
\(263\) | −207.276 | − | 207.276i | −0.788121 | − | 0.788121i | 0.193065 | − | 0.981186i | \(-0.438157\pi\) |
−0.981186 | + | 0.193065i | \(0.938157\pi\) | |||||||
\(264\) | −70.4992 | + | 70.4992i | −0.267042 | + | 0.267042i | ||||
\(265\) | 202.037 | − | 202.037i | 0.762405 | − | 0.762405i | ||||
\(266\) | 261.495 | − | 261.495i | 0.983062 | − | 0.983062i | ||||
\(267\) | −64.3554 | −0.241031 | ||||||||
\(268\) | −3.05333 | − | 3.05333i | −0.0113930 | − | 0.0113930i | ||||
\(269\) | 196.877 | − | 196.877i | 0.731884 | − | 0.731884i | −0.239109 | − | 0.970993i | \(-0.576855\pi\) |
0.970993 | + | 0.239109i | \(0.0768553\pi\) | |||||||
\(270\) | 471.833 | − | 471.833i | 1.74753 | − | 1.74753i | ||||
\(271\) | −260.930 | + | 260.930i | −0.962840 | + | 0.962840i | −0.999334 | − | 0.0364937i | \(-0.988381\pi\) |
0.0364937 | + | 0.999334i | \(0.488381\pi\) | |||||||
\(272\) | −183.159 | − | 183.159i | −0.673379 | − | 0.673379i | ||||
\(273\) | 141.700 | 0.519048 | ||||||||
\(274\) | −160.606 | − | 160.606i | −0.586155 | − | 0.586155i | ||||
\(275\) | 444.335 | + | 444.335i | 1.61576 | + | 1.61576i | ||||
\(276\) | −73.0085 | − | 73.0085i | −0.264523 | − | 0.264523i | ||||
\(277\) | 301.993 | − | 301.993i | 1.09023 | − | 1.09023i | 0.0947220 | − | 0.995504i | \(-0.469804\pi\) |
0.995504 | − | 0.0947220i | \(-0.0301962\pi\) | |||||||
\(278\) | 624.719 | 2.24719 | ||||||||
\(279\) | −27.3880 | − | 27.3880i | −0.0981649 | − | 0.0981649i | ||||
\(280\) | − | 274.962i | − | 0.982006i | ||||||
\(281\) | −317.794 | + | 317.794i | −1.13094 | + | 1.13094i | −0.140920 | + | 0.990021i | \(0.545006\pi\) |
−0.990021 | + | 0.140920i | \(0.954994\pi\) | |||||||
\(282\) | −538.466 | −1.90946 | ||||||||
\(283\) | 85.6167 | + | 85.6167i | 0.302533 | + | 0.302533i | 0.842004 | − | 0.539471i | \(-0.181376\pi\) |
−0.539471 | + | 0.842004i | \(0.681376\pi\) | |||||||
\(284\) | 74.0535 | − | 74.0535i | 0.260752 | − | 0.260752i | ||||
\(285\) | −338.185 | −1.18662 | ||||||||
\(286\) | 116.193 | + | 116.193i | 0.406270 | + | 0.406270i | ||||
\(287\) | −612.543 | −2.13430 | ||||||||
\(288\) | −48.3155 | − | 48.3155i | −0.167762 | − | 0.167762i | ||||
\(289\) | − | 110.039i | − | 0.380758i | ||||||
\(290\) | 567.619i | 1.95731i | ||||||||
\(291\) | −284.576 | − | 284.576i | −0.977924 | − | 0.977924i | ||||
\(292\) | −131.242 | − | 131.242i | −0.449457 | − | 0.449457i | ||||
\(293\) | 234.258i | 0.799517i | 0.916621 | + | 0.399758i | \(0.130906\pi\) | ||||
−0.916621 | + | 0.399758i | \(0.869094\pi\) | |||||||
\(294\) | 348.109i | 1.18404i | ||||||||
\(295\) | −340.001 | + | 340.001i | −1.15254 | + | 1.15254i | ||||
\(296\) | 163.657 | + | 163.657i | 0.552897 | + | 0.552897i | ||||
\(297\) | 343.683 | 1.15718 | ||||||||
\(298\) | −396.534 | −1.33065 | ||||||||
\(299\) | 51.6708 | − | 51.6708i | 0.172812 | − | 0.172812i | ||||
\(300\) | 281.322 | − | 281.322i | 0.937741 | − | 0.937741i | ||||
\(301\) | −355.079 | −1.17966 | ||||||||
\(302\) | −35.0744 | −0.116140 | ||||||||
\(303\) | −140.179 | + | 140.179i | −0.462636 | + | 0.462636i | ||||
\(304\) | 276.347i | 0.909038i | ||||||||
\(305\) | −106.988 | + | 106.988i | −0.350780 | + | 0.350780i | ||||
\(306\) | 62.7968i | 0.205218i | ||||||||
\(307\) | 307.631 | + | 307.631i | 1.00206 | + | 1.00206i | 0.999998 | + | 0.00205834i | \(0.000655189\pi\) |
0.00205834 | + | 0.999998i | \(0.499345\pi\) | |||||||
\(308\) | −233.204 | + | 233.204i | −0.757157 | + | 0.757157i | ||||
\(309\) | − | 35.8359i | − | 0.115974i | ||||||
\(310\) | −350.279 | − | 350.279i | −1.12993 | − | 1.12993i | ||||
\(311\) | −518.247 | −1.66639 | −0.833195 | − | 0.552979i | \(-0.813491\pi\) | ||||
−0.833195 | + | 0.552979i | \(0.813491\pi\) | |||||||
\(312\) | −31.5900 | + | 31.5900i | −0.101250 | + | 0.101250i | ||||
\(313\) | − | 238.017i | − | 0.760438i | −0.924897 | − | 0.380219i | \(-0.875849\pi\) | ||
0.924897 | − | 0.380219i | \(-0.124151\pi\) | |||||||
\(314\) | −391.048 | − | 391.048i | −1.24538 | − | 1.24538i | ||||
\(315\) | −111.721 | + | 111.721i | −0.354669 | + | 0.354669i | ||||
\(316\) | 308.385 | − | 308.385i | 0.975903 | − | 0.975903i | ||||
\(317\) | −88.0090 | + | 88.0090i | −0.277631 | + | 0.277631i | −0.832163 | − | 0.554532i | \(-0.812897\pi\) |
0.554532 | + | 0.832163i | \(0.312897\pi\) | |||||||
\(318\) | − | 226.358i | − | 0.711818i | ||||||
\(319\) | −206.727 | + | 206.727i | −0.648046 | + | 0.648046i | ||||
\(320\) | −134.296 | − | 134.296i | −0.419676 | − | 0.419676i | ||||
\(321\) | −126.017 | − | 126.017i | −0.392576 | − | 0.392576i | ||||
\(322\) | 251.943 | + | 251.943i | 0.782431 | + | 0.782431i | ||||
\(323\) | 135.007 | − | 135.007i | 0.417977 | − | 0.417977i | ||||
\(324\) | − | 172.254i | − | 0.531649i | ||||||
\(325\) | 199.102 | + | 199.102i | 0.612622 | + | 0.612622i | ||||
\(326\) | −52.8051 | − | 52.8051i | −0.161979 | − | 0.161979i | ||||
\(327\) | 326.363 | + | 326.363i | 0.998051 | + | 0.998051i | ||||
\(328\) | 136.558 | − | 136.558i | 0.416334 | − | 0.416334i | ||||
\(329\) | 764.867 | 2.32482 | ||||||||
\(330\) | 732.707 | 2.22032 | ||||||||
\(331\) | 461.949i | 1.39562i | 0.716285 | + | 0.697808i | \(0.245841\pi\) | ||||
−0.716285 | + | 0.697808i | \(0.754159\pi\) | |||||||
\(332\) | 104.612 | 0.315095 | ||||||||
\(333\) | − | 132.993i | − | 0.399378i | ||||||
\(334\) | 507.224i | 1.51864i | ||||||||
\(335\) | − | 13.6268i | − | 0.0406770i | ||||||
\(336\) | −365.082 | − | 365.082i | −1.08655 | − | 1.08655i | ||||
\(337\) | −273.821 | + | 273.821i | −0.812525 | + | 0.812525i | −0.985012 | − | 0.172487i | \(-0.944820\pi\) |
0.172487 | + | 0.985012i | \(0.444820\pi\) | |||||||
\(338\) | −259.518 | − | 259.518i | −0.767804 | − | 0.767804i | ||||
\(339\) | −572.000 | −1.68731 | ||||||||
\(340\) | 330.590i | 0.972324i | ||||||||
\(341\) | − | 255.143i | − | 0.748219i | ||||||
\(342\) | 47.3733 | − | 47.3733i | 0.138519 | − | 0.138519i | ||||
\(343\) | − | 7.52704i | − | 0.0219447i | ||||||
\(344\) | 79.1597 | − | 79.1597i | 0.230116 | − | 0.230116i | ||||
\(345\) | − | 325.832i | − | 0.944441i | ||||||
\(346\) | 223.585 | + | 223.585i | 0.646199 | + | 0.646199i | ||||
\(347\) | −226.557 | −0.652901 | −0.326451 | − | 0.945214i | \(-0.605853\pi\) | ||||
−0.326451 | + | 0.945214i | \(0.605853\pi\) | |||||||
\(348\) | 130.885 | + | 130.885i | 0.376107 | + | 0.376107i | ||||
\(349\) | 235.104 | − | 235.104i | 0.673651 | − | 0.673651i | −0.284905 | − | 0.958556i | \(-0.591962\pi\) |
0.958556 | + | 0.284905i | \(0.0919620\pi\) | |||||||
\(350\) | −970.806 | + | 970.806i | −2.77373 | + | 2.77373i | ||||
\(351\) | 154.001 | 0.438749 | ||||||||
\(352\) | − | 450.100i | − | 1.27869i | ||||||
\(353\) | −249.426 | −0.706589 | −0.353295 | − | 0.935512i | \(-0.614939\pi\) | ||||
−0.353295 | + | 0.935512i | \(0.614939\pi\) | |||||||
\(354\) | 380.929i | 1.07607i | ||||||||
\(355\) | 330.496 | 0.930975 | ||||||||
\(356\) | 47.4588 | − | 47.4588i | 0.133311 | − | 0.133311i | ||||
\(357\) | 356.714i | 0.999198i | ||||||||
\(358\) | 283.855i | 0.792890i | ||||||||
\(359\) | 329.605 | − | 329.605i | 0.918119 | − | 0.918119i | −0.0787734 | − | 0.996893i | \(-0.525100\pi\) |
0.996893 | + | 0.0787734i | \(0.0251004\pi\) | |||||||
\(360\) | − | 49.8131i | − | 0.138370i | ||||||
\(361\) | 157.304 | 0.435746 | ||||||||
\(362\) | 174.678 | + | 174.678i | 0.482535 | + | 0.482535i | ||||
\(363\) | 37.2755 | + | 37.2755i | 0.102687 | + | 0.102687i | ||||
\(364\) | −104.497 | + | 104.497i | −0.287078 | + | 0.287078i | ||||
\(365\) | − | 585.723i | − | 1.60472i | ||||||
\(366\) | 119.867i | 0.327505i | ||||||||
\(367\) | 284.071 | − | 284.071i | 0.774035 | − | 0.774035i | −0.204774 | − | 0.978809i | \(-0.565646\pi\) |
0.978809 | + | 0.204774i | \(0.0656460\pi\) | |||||||
\(368\) | −266.253 | −0.723514 | ||||||||
\(369\) | −110.971 | −0.300733 | ||||||||
\(370\) | − | 1700.91i | − | 4.59706i | ||||||
\(371\) | 321.531i | 0.866661i | ||||||||
\(372\) | −161.539 | −0.434244 | ||||||||
\(373\) | −391.998 | + | 391.998i | −1.05093 | + | 1.05093i | −0.0523003 | + | 0.998631i | \(0.516655\pi\) |
−0.998631 | + | 0.0523003i | \(0.983345\pi\) | |||||||
\(374\) | −292.503 | + | 292.503i | −0.782093 | + | 0.782093i | ||||
\(375\) | 663.139 | 1.76837 | ||||||||
\(376\) | −170.516 | + | 170.516i | −0.453500 | + | 0.453500i | ||||
\(377\) | −92.6322 | + | 92.6322i | −0.245709 | + | 0.245709i | ||||
\(378\) | 750.897i | 1.98650i | ||||||||
\(379\) | −399.075 | −1.05297 | −0.526485 | − | 0.850185i | \(-0.676490\pi\) | ||||
−0.526485 | + | 0.850185i | \(0.676490\pi\) | |||||||
\(380\) | 249.394 | − | 249.394i | 0.656301 | − | 0.656301i | ||||
\(381\) | 15.0781 | + | 15.0781i | 0.0395752 | + | 0.0395752i | ||||
\(382\) | −393.376 | + | 393.376i | −1.02978 | + | 1.02978i | ||||
\(383\) | 38.7143 | + | 38.7143i | 0.101082 | + | 0.101082i | 0.755839 | − | 0.654757i | \(-0.227229\pi\) |
−0.654757 | + | 0.755839i | \(0.727229\pi\) | |||||||
\(384\) | 256.881 | 0.668961 | ||||||||
\(385\) | −1040.78 | −2.70331 | ||||||||
\(386\) | −189.936 | + | 189.936i | −0.492061 | + | 0.492061i | ||||
\(387\) | −64.3275 | −0.166221 | ||||||||
\(388\) | 419.720 | 1.08175 | ||||||||
\(389\) | 64.2373 | + | 64.2373i | 0.165134 | + | 0.165134i | 0.784837 | − | 0.619702i | \(-0.212747\pi\) |
−0.619702 | + | 0.784837i | \(0.712747\pi\) | |||||||
\(390\) | 328.319 | 0.841843 | ||||||||
\(391\) | 130.075 | + | 130.075i | 0.332673 | + | 0.332673i | ||||
\(392\) | 110.236 | + | 110.236i | 0.281213 | + | 0.281213i | ||||
\(393\) | 74.8572i | 0.190476i | ||||||||
\(394\) | −461.205 | + | 226.114i | −1.17057 | + | 0.573892i | ||||
\(395\) | 1376.30 | 3.48431 | ||||||||
\(396\) | −42.2482 | + | 42.2482i | −0.106687 | + | 0.106687i | ||||
\(397\) | 70.4690 | − | 70.4690i | 0.177504 | − | 0.177504i | −0.612763 | − | 0.790267i | \(-0.709942\pi\) |
0.790267 | + | 0.612763i | \(0.209942\pi\) | |||||||
\(398\) | 444.669i | 1.11726i | ||||||||
\(399\) | 269.102 | − | 269.102i | 0.674441 | − | 0.674441i | ||||
\(400\) | − | 1025.95i | − | 2.56487i | ||||||
\(401\) | − | 38.7530i | − | 0.0966408i | −0.998832 | − | 0.0483204i | \(-0.984613\pi\) | ||
0.998832 | − | 0.0483204i | \(-0.0153869\pi\) | |||||||
\(402\) | −7.63359 | − | 7.63359i | −0.0189890 | − | 0.0189890i | ||||
\(403\) | − | 114.327i | − | 0.283690i | ||||||
\(404\) | − | 206.749i | − | 0.511755i | ||||||
\(405\) | 384.380 | − | 384.380i | 0.949087 | − | 0.949087i | ||||
\(406\) | −451.668 | − | 451.668i | −1.11248 | − | 1.11248i | ||||
\(407\) | 619.471 | − | 619.471i | 1.52204 | − | 1.52204i | ||||
\(408\) | −79.5242 | − | 79.5242i | −0.194912 | − | 0.194912i | ||||
\(409\) | 64.5540i | 0.157834i | 0.996881 | + | 0.0789168i | \(0.0251462\pi\) | ||||
−0.996881 | + | 0.0789168i | \(0.974854\pi\) | |||||||
\(410\) | −1419.26 | −3.46161 | ||||||||
\(411\) | −165.279 | − | 165.279i | −0.402138 | − | 0.402138i | ||||
\(412\) | 26.4271 | + | 26.4271i | 0.0641435 | + | 0.0641435i | ||||
\(413\) | − | 541.092i | − | 1.31015i | ||||||
\(414\) | 45.6429 | + | 45.6429i | 0.110249 | + | 0.110249i | ||||
\(415\) | 233.438 | + | 233.438i | 0.562500 | + | 0.562500i | ||||
\(416\) | − | 201.686i | − | 0.484821i | ||||||
\(417\) | 642.893 | 1.54171 | ||||||||
\(418\) | 441.323 | 1.05580 | ||||||||
\(419\) | − | 175.706i | − | 0.419345i | −0.977772 | − | 0.209673i | \(-0.932760\pi\) | ||
0.977772 | − | 0.209673i | \(-0.0672398\pi\) | |||||||
\(420\) | 658.948i | 1.56892i | ||||||||
\(421\) | −522.439 | − | 522.439i | −1.24095 | − | 1.24095i | −0.959609 | − | 0.281338i | \(-0.909222\pi\) |
−0.281338 | − | 0.959609i | \(-0.590778\pi\) | |||||||
\(422\) | −745.156 | −1.76577 | ||||||||
\(423\) | 138.566 | 0.327580 | ||||||||
\(424\) | −71.6808 | − | 71.6808i | −0.169058 | − | 0.169058i | ||||
\(425\) | −501.216 | + | 501.216i | −1.17933 | + | 1.17933i | ||||
\(426\) | 185.140 | − | 185.140i | 0.434602 | − | 0.434602i | ||||
\(427\) | − | 170.265i | − | 0.398748i | ||||||
\(428\) | 185.862 | 0.434257 | ||||||||
\(429\) | 119.573 | + | 119.573i | 0.278726 | + | 0.278726i | ||||
\(430\) | −822.717 | −1.91329 | ||||||||
\(431\) | −530.606 | −1.23110 | −0.615552 | − | 0.788096i | \(-0.711067\pi\) | ||||
−0.615552 | + | 0.788096i | \(0.711067\pi\) | |||||||
\(432\) | −396.774 | − | 396.774i | −0.918458 | − | 0.918458i | ||||
\(433\) | 371.625i | 0.858256i | 0.903244 | + | 0.429128i | \(0.141179\pi\) | ||||
−0.903244 | + | 0.429128i | \(0.858821\pi\) | |||||||
\(434\) | 557.450 | 1.28445 | ||||||||
\(435\) | 584.132i | 1.34283i | ||||||||
\(436\) | −481.351 | −1.10402 | ||||||||
\(437\) | − | 196.255i | − | 0.449096i | ||||||
\(438\) | −328.115 | − | 328.115i | −0.749122 | − | 0.749122i | ||||
\(439\) | 448.128 | + | 448.128i | 1.02079 | + | 1.02079i | 0.999779 | + | 0.0210143i | \(0.00668955\pi\) |
0.0210143 | + | 0.999779i | \(0.493310\pi\) | |||||||
\(440\) | 232.026 | − | 232.026i | 0.527332 | − | 0.527332i | ||||
\(441\) | − | 89.5806i | − | 0.203131i | ||||||
\(442\) | −131.068 | + | 131.068i | −0.296533 | + | 0.296533i | ||||
\(443\) | 376.076 | 0.848929 | 0.424465 | − | 0.905445i | \(-0.360462\pi\) | ||||
0.424465 | + | 0.905445i | \(0.360462\pi\) | |||||||
\(444\) | −392.207 | − | 392.207i | −0.883348 | − | 0.883348i | ||||
\(445\) | 211.806 | 0.475967 | ||||||||
\(446\) | 57.8125 | + | 57.8125i | 0.129624 | + | 0.129624i | ||||
\(447\) | −408.070 | −0.912909 | ||||||||
\(448\) | 213.725 | 0.477065 | ||||||||
\(449\) | − | 578.241i | − | 1.28784i | −0.765092 | − | 0.643921i | \(-0.777306\pi\) | ||
0.765092 | − | 0.643921i | \(-0.222694\pi\) | |||||||
\(450\) | −175.875 | + | 175.875i | −0.390833 | + | 0.390833i | ||||
\(451\) | −516.893 | − | 516.893i | −1.14610 | − | 1.14610i | ||||
\(452\) | 421.820 | − | 421.820i | 0.933231 | − | 0.933231i | ||||
\(453\) | −36.0948 | −0.0796794 | ||||||||
\(454\) | 791.247 | 1.74283 | ||||||||
\(455\) | −466.362 | −1.02497 | ||||||||
\(456\) | 119.985i | 0.263124i | ||||||||
\(457\) | 850.225 | 1.86045 | 0.930224 | − | 0.366991i | \(-0.119612\pi\) | ||||
0.930224 | + | 0.366991i | \(0.119612\pi\) | |||||||
\(458\) | − | 138.510i | − | 0.302423i | ||||||
\(459\) | 387.679i | 0.844617i | ||||||||
\(460\) | 240.284 | + | 240.284i | 0.522358 | + | 0.522358i | ||||
\(461\) | −28.8812 | + | 28.8812i | −0.0626489 | + | 0.0626489i | −0.737737 | − | 0.675088i | \(-0.764106\pi\) |
0.675088 | + | 0.737737i | \(0.264106\pi\) | |||||||
\(462\) | −583.031 | + | 583.031i | −1.26197 | + | 1.26197i | ||||
\(463\) | −367.989 | + | 367.989i | −0.794793 | + | 0.794793i | −0.982269 | − | 0.187476i | \(-0.939969\pi\) |
0.187476 | + | 0.982269i | \(0.439969\pi\) | |||||||
\(464\) | 477.322 | 1.02871 | ||||||||
\(465\) | −360.469 | − | 360.469i | −0.775203 | − | 0.775203i | ||||
\(466\) | 279.838 | − | 279.838i | 0.600511 | − | 0.600511i | ||||
\(467\) | −395.347 | + | 395.347i | −0.846567 | + | 0.846567i | −0.989703 | − | 0.143136i | \(-0.954281\pi\) |
0.143136 | + | 0.989703i | \(0.454281\pi\) | |||||||
\(468\) | −18.9310 | + | 18.9310i | −0.0404508 | + | 0.0404508i | ||||
\(469\) | 10.8432 | + | 10.8432i | 0.0231197 | + | 0.0231197i | ||||
\(470\) | 1772.19 | 3.77062 | ||||||||
\(471\) | −402.425 | − | 402.425i | −0.854405 | − | 0.854405i | ||||
\(472\) | 120.629 | + | 120.629i | 0.255569 | + | 0.255569i | ||||
\(473\) | −299.633 | − | 299.633i | −0.633473 | − | 0.633473i | ||||
\(474\) | 770.990 | − | 770.990i | 1.62656 | − | 1.62656i | ||||
\(475\) | 756.226 | 1.59206 | ||||||||
\(476\) | −263.058 | − | 263.058i | −0.552643 | − | 0.552643i | ||||
\(477\) | 58.2498i | 0.122117i | ||||||||
\(478\) | −252.094 | + | 252.094i | −0.527394 | + | 0.527394i | ||||
\(479\) | −272.868 | −0.569662 | −0.284831 | − | 0.958578i | \(-0.591938\pi\) | ||||
−0.284831 | + | 0.958578i | \(0.591938\pi\) | |||||||
\(480\) | −635.908 | − | 635.908i | −1.32481 | − | 1.32481i | ||||
\(481\) | 277.579 | − | 277.579i | 0.577087 | − | 0.577087i | ||||
\(482\) | 138.089 | 0.286491 | ||||||||
\(483\) | 259.272 | + | 259.272i | 0.536795 | + | 0.536795i | ||||
\(484\) | −54.9775 | −0.113590 | ||||||||
\(485\) | 936.592 | + | 936.592i | 1.93112 | + | 1.93112i | ||||
\(486\) | 249.394i | 0.513157i | ||||||||
\(487\) | 689.852i | 1.41653i | 0.705945 | + | 0.708267i | \(0.250523\pi\) | ||||
−0.705945 | + | 0.708267i | \(0.749477\pi\) | |||||||
\(488\) | 37.9582 | + | 37.9582i | 0.0777831 | + | 0.0777831i | ||||
\(489\) | −54.3413 | − | 54.3413i | −0.111127 | − | 0.111127i | ||||
\(490\) | − | 1145.69i | − | 2.33815i | ||||||
\(491\) | − | 194.268i | − | 0.395657i | −0.980237 | − | 0.197829i | \(-0.936611\pi\) | ||
0.980237 | − | 0.197829i | \(-0.0633890\pi\) | |||||||
\(492\) | −327.261 | + | 327.261i | −0.665165 | + | 0.665165i | ||||
\(493\) | −233.191 | − | 233.191i | −0.473004 | − | 0.473004i | ||||
\(494\) | 197.753 | 0.400309 | ||||||||
\(495\) | −188.551 | −0.380911 | ||||||||
\(496\) | −294.556 | + | 294.556i | −0.593864 | + | 0.593864i | ||||
\(497\) | −262.983 | + | 262.983i | −0.529141 | + | 0.529141i | ||||
\(498\) | 261.538 | 0.525177 | ||||||||
\(499\) | 629.825 | 1.26218 | 0.631088 | − | 0.775712i | \(-0.282609\pi\) | ||||
0.631088 | + | 0.775712i | \(0.282609\pi\) | |||||||
\(500\) | −489.030 | + | 489.030i | −0.978061 | + | 0.978061i | ||||
\(501\) | 521.980i | 1.04188i | ||||||||
\(502\) | 159.696 | − | 159.696i | 0.318120 | − | 0.318120i | ||||
\(503\) | − | 267.879i | − | 0.532562i | −0.963895 | − | 0.266281i | \(-0.914205\pi\) | ||
0.963895 | − | 0.266281i | \(-0.0857949\pi\) | |||||||
\(504\) | 39.6374 | + | 39.6374i | 0.0786456 | + | 0.0786456i | ||||
\(505\) | 461.354 | − | 461.354i | 0.913573 | − | 0.913573i | ||||
\(506\) | 425.203i | 0.840322i | ||||||||
\(507\) | −267.068 | − | 267.068i | −0.526760 | − | 0.526760i | ||||
\(508\) | −22.2387 | −0.0437770 | ||||||||
\(509\) | 93.2973 | − | 93.2973i | 0.183295 | − | 0.183295i | −0.609495 | − | 0.792790i | \(-0.708628\pi\) |
0.792790 | + | 0.609495i | \(0.208628\pi\) | |||||||
\(510\) | 826.504i | 1.62060i | ||||||||
\(511\) | 466.073 | + | 466.073i | 0.912080 | + | 0.912080i | ||||
\(512\) | −348.042 | + | 348.042i | −0.679769 | + | 0.679769i | ||||
\(513\) | 292.462 | − | 292.462i | 0.570101 | − | 0.570101i | ||||
\(514\) | 533.082 | − | 533.082i | 1.03712 | − | 1.03712i | ||||
\(515\) | 117.943i | 0.229015i | ||||||||
\(516\) | −189.707 | + | 189.707i | −0.367649 | + | 0.367649i | ||||
\(517\) | 645.432 | + | 645.432i | 1.24842 | + | 1.24842i | ||||
\(518\) | 1353.45 | + | 1353.45i | 2.61285 | + | 2.61285i | ||||
\(519\) | 230.089 | + | 230.089i | 0.443332 | + | 0.443332i | ||||
\(520\) | 103.969 | − | 103.969i | 0.199940 | − | 0.199940i | ||||
\(521\) | 1028.38i | 1.97387i | 0.161133 | + | 0.986933i | \(0.448485\pi\) | ||||
−0.161133 | + | 0.986933i | \(0.551515\pi\) | |||||||
\(522\) | −81.8258 | − | 81.8258i | −0.156754 | − | 0.156754i | ||||
\(523\) | 31.6141 | + | 31.6141i | 0.0604475 | + | 0.0604475i | 0.736684 | − | 0.676237i | \(-0.236390\pi\) |
−0.676237 | + | 0.736684i | \(0.736390\pi\) | |||||||
\(524\) | −55.2033 | − | 55.2033i | −0.105350 | − | 0.105350i | ||||
\(525\) | −999.048 | + | 999.048i | −1.90295 | + | 1.90295i | ||||
\(526\) | 764.303 | 1.45305 | ||||||||
\(527\) | 287.805 | 0.546119 | ||||||||
\(528\) | − | 616.147i | − | 1.16695i | ||||||
\(529\) | −339.914 | −0.642559 | ||||||||
\(530\) | 744.987i | 1.40564i | ||||||||
\(531\) | − | 98.0263i | − | 0.184607i | ||||||
\(532\) | 396.897i | 0.746048i | ||||||||
\(533\) | −231.615 | − | 231.615i | −0.434549 | − | 0.434549i | ||||
\(534\) | 118.651 | − | 118.651i | 0.222193 | − | 0.222193i | ||||
\(535\) | 414.745 | + | 414.745i | 0.775225 | + | 0.775225i | ||||
\(536\) | −4.83465 | −0.00901987 | ||||||||
\(537\) | 292.112i | 0.543971i | ||||||||
\(538\) | 725.958i | 1.34936i | ||||||||
\(539\) | 417.260 | − | 417.260i | 0.774138 | − | 0.774138i | ||||
\(540\) | 716.150i | 1.32620i | ||||||||
\(541\) | 201.666 | − | 201.666i | 0.372764 | − | 0.372764i | −0.495719 | − | 0.868483i | \(-0.665095\pi\) |
0.868483 | + | 0.495719i | \(0.165095\pi\) | |||||||
\(542\) | − | 962.145i | − | 1.77517i | ||||||
\(543\) | 179.759 | + | 179.759i | 0.331048 | + | 0.331048i | ||||
\(544\) | 507.720 | 0.933309 | ||||||||
\(545\) | −1074.12 | − | 1074.12i | −1.97086 | − | 1.97086i | ||||
\(546\) | −261.251 | + | 261.251i | −0.478481 | + | 0.478481i | ||||
\(547\) | −684.763 | + | 684.763i | −1.25185 | + | 1.25185i | −0.296964 | + | 0.954889i | \(0.595974\pi\) |
−0.954889 | + | 0.296964i | \(0.904026\pi\) | |||||||
\(548\) | 243.769 | 0.444834 | ||||||||
\(549\) | − | 30.8459i | − | 0.0561856i | ||||||
\(550\) | −1638.43 | −2.97896 | ||||||||
\(551\) | 351.834i | 0.638538i | ||||||||
\(552\) | −115.602 | −0.209424 | ||||||||
\(553\) | −1095.16 | + | 1095.16i | −1.98039 | + | 1.98039i | ||||
\(554\) | 1113.56i | 2.01003i | ||||||||
\(555\) | − | 1750.39i | − | 3.15386i | ||||||
\(556\) | −474.100 | + | 474.100i | −0.852698 | + | 0.852698i | ||||
\(557\) | − | 856.244i | − | 1.53724i | −0.639704 | − | 0.768621i | \(-0.720943\pi\) | ||
0.639704 | − | 0.768621i | \(-0.279057\pi\) | |||||||
\(558\) | 100.990 | 0.180985 | ||||||||
\(559\) | −134.263 | − | 134.263i | −0.240184 | − | 0.240184i | ||||
\(560\) | 1201.55 | + | 1201.55i | 2.14563 | + | 2.14563i | ||||
\(561\) | −301.012 | + | 301.012i | −0.536564 | + | 0.536564i | ||||
\(562\) | − | 1171.83i | − | 2.08510i | ||||||
\(563\) | − | 504.957i | − | 0.896905i | −0.893807 | − | 0.448452i | \(-0.851975\pi\) | ||
0.893807 | − | 0.448452i | \(-0.148025\pi\) | |||||||
\(564\) | 408.643 | − | 408.643i | 0.724544 | − | 0.724544i | ||||
\(565\) | 1882.56 | 3.33196 | ||||||||
\(566\) | −315.701 | −0.557775 | ||||||||
\(567\) | 611.720i | 1.07887i | ||||||||
\(568\) | − | 117.257i | − | 0.206438i | ||||||
\(569\) | −315.908 | −0.555198 | −0.277599 | − | 0.960697i | \(-0.589539\pi\) | ||||
−0.277599 | + | 0.960697i | \(0.589539\pi\) | |||||||
\(570\) | 623.508 | − | 623.508i | 1.09387 | − | 1.09387i | ||||
\(571\) | 652.110 | − | 652.110i | 1.14205 | − | 1.14205i | 0.153975 | − | 0.988075i | \(-0.450793\pi\) |
0.988075 | − | 0.153975i | \(-0.0492074\pi\) | |||||||
\(572\) | −176.358 | −0.308319 | ||||||||
\(573\) | −404.820 | + | 404.820i | −0.706493 | + | 0.706493i | ||||
\(574\) | 1129.34 | − | 1129.34i | 1.96748 | − | 1.96748i | ||||
\(575\) | 728.603i | 1.26714i | ||||||||
\(576\) | 38.7193 | 0.0672210 | ||||||||
\(577\) | 88.6003 | − | 88.6003i | 0.153553 | − | 0.153553i | −0.626150 | − | 0.779703i | \(-0.715370\pi\) |
0.779703 | + | 0.626150i | \(0.215370\pi\) | |||||||
\(578\) | 202.877 | + | 202.877i | 0.350999 | + | 0.350999i | ||||
\(579\) | −195.461 | + | 195.461i | −0.337584 | + | 0.337584i | ||||
\(580\) | −430.767 | − | 430.767i | −0.742702 | − | 0.742702i | ||||
\(581\) | −371.503 | −0.639420 | ||||||||
\(582\) | 1049.34 | 1.80298 | ||||||||
\(583\) | −271.324 | + | 271.324i | −0.465392 | + | 0.465392i | ||||
\(584\) | −207.808 | −0.355836 | ||||||||
\(585\) | −84.4878 | −0.144424 | ||||||||
\(586\) | −431.899 | − | 431.899i | −0.737029 | − | 0.737029i | ||||
\(587\) | −310.466 | −0.528903 | −0.264451 | − | 0.964399i | \(-0.585191\pi\) | ||||
−0.264451 | + | 0.964399i | \(0.585191\pi\) | |||||||
\(588\) | −264.181 | − | 264.181i | −0.449287 | − | 0.449287i | ||||
\(589\) | −217.118 | − | 217.118i | −0.368621 | − | 0.368621i | ||||
\(590\) | − | 1253.71i | − | 2.12493i | ||||||
\(591\) | −474.622 | + | 232.691i | −0.803083 | + | 0.393725i | ||||
\(592\) | −1430.33 | −2.41610 | ||||||||
\(593\) | 434.760 | − | 434.760i | 0.733153 | − | 0.733153i | −0.238090 | − | 0.971243i | \(-0.576521\pi\) |
0.971243 | + | 0.238090i | \(0.0765213\pi\) | |||||||
\(594\) | −633.643 | + | 633.643i | −1.06674 | + | 1.06674i | ||||
\(595\) | − | 1174.01i | − | 1.97313i | ||||||
\(596\) | 300.931 | − | 300.931i | 0.504917 | − | 0.504917i | ||||
\(597\) | 457.605i | 0.766507i | ||||||||
\(598\) | 190.529i | 0.318611i | ||||||||
\(599\) | 600.005 | + | 600.005i | 1.00168 | + | 1.00168i | 0.999999 | + | 0.00167862i | \(0.000534321\pi\) |
0.00167862 | + | 0.999999i | \(0.499466\pi\) | |||||||
\(600\) | − | 445.447i | − | 0.742411i | ||||||
\(601\) | 810.285i | 1.34823i | 0.738628 | + | 0.674114i | \(0.235474\pi\) | ||||
−0.738628 | + | 0.674114i | \(0.764526\pi\) | |||||||
\(602\) | 654.654 | − | 654.654i | 1.08747 | − | 1.08747i | ||||
\(603\) | 1.96439 | + | 1.96439i | 0.00325769 | + | 0.00325769i | ||||
\(604\) | 26.6180 | − | 26.6180i | 0.0440696 | − | 0.0440696i | ||||
\(605\) | −122.680 | − | 122.680i | −0.202778 | − | 0.202778i | ||||
\(606\) | − | 516.891i | − | 0.852955i | ||||||
\(607\) | 94.1168 | 0.155052 | 0.0775262 | − | 0.996990i | \(-0.475298\pi\) | ||||
0.0775262 | + | 0.996990i | \(0.475298\pi\) | |||||||
\(608\) | −383.020 | − | 383.020i | −0.629967 | − | 0.629967i | ||||
\(609\) | −464.807 | − | 464.807i | −0.763230 | − | 0.763230i | ||||
\(610\) | − | 394.504i | − | 0.646728i | ||||||
\(611\) | 289.212 | + | 289.212i | 0.473341 | + | 0.473341i | ||||
\(612\) | −47.6566 | − | 47.6566i | −0.0778702 | − | 0.0778702i | ||||
\(613\) | − | 264.174i | − | 0.430953i | −0.976509 | − | 0.215476i | \(-0.930870\pi\) | ||
0.976509 | − | 0.215476i | \(-0.0691304\pi\) | |||||||
\(614\) | −1134.35 | −1.84748 | ||||||||
\(615\) | −1460.55 | −2.37487 | ||||||||
\(616\) | 369.257i | 0.599442i | ||||||||
\(617\) | − | 189.539i | − | 0.307195i | −0.988133 | − | 0.153598i | \(-0.950914\pi\) | ||
0.988133 | − | 0.153598i | \(-0.0490859\pi\) | |||||||
\(618\) | 66.0701 | + | 66.0701i | 0.106910 | + | 0.106910i | ||||
\(619\) | 432.171 | 0.698176 | 0.349088 | − | 0.937090i | \(-0.386491\pi\) | ||||
0.349088 | + | 0.937090i | \(0.386491\pi\) | |||||||
\(620\) | 531.655 | 0.857508 | ||||||||
\(621\) | 281.779 | + | 281.779i | 0.453750 | + | 0.453750i | ||||
\(622\) | 955.485 | − | 955.485i | 1.53615 | − | 1.53615i | ||||
\(623\) | −168.538 | + | 168.538i | −0.270527 | + | 0.270527i | ||||
\(624\) | − | 276.090i | − | 0.442451i | ||||||
\(625\) | −857.863 | −1.37258 | ||||||||
\(626\) | 438.828 | + | 438.828i | 0.701004 | + | 0.701004i | ||||
\(627\) | 454.162 | 0.724342 | ||||||||
\(628\) | 593.535 | 0.945119 | ||||||||
\(629\) | 698.773 | + | 698.773i | 1.11093 | + | 1.11093i | ||||
\(630\) | − | 411.956i | − | 0.653899i | ||||||
\(631\) | −169.613 | −0.268800 | −0.134400 | − | 0.990927i | \(-0.542911\pi\) | ||||
−0.134400 | + | 0.990927i | \(0.542911\pi\) | |||||||
\(632\) | − | 488.298i | − | 0.772624i | ||||||
\(633\) | −766.834 | −1.21143 | ||||||||
\(634\) | − | 324.522i | − | 0.511864i | ||||||
\(635\) | −49.6250 | − | 49.6250i | −0.0781496 | − | 0.0781496i | ||||
\(636\) | 171.784 | + | 171.784i | 0.270100 | + | 0.270100i | ||||
\(637\) | 186.970 | − | 186.970i | 0.293517 | − | 0.293517i | ||||
\(638\) | − | 762.278i | − | 1.19479i | ||||||
\(639\) | −47.6430 | + | 47.6430i | −0.0745588 | + | 0.0745588i | ||||
\(640\) | −845.443 | −1.32100 | ||||||||
\(641\) | −178.904 | − | 178.904i | −0.279101 | − | 0.279101i | 0.553649 | − | 0.832750i | \(-0.313235\pi\) |
−0.832750 | + | 0.553649i | \(0.813235\pi\) | |||||||
\(642\) | 464.671 | 0.723787 | ||||||||
\(643\) | 102.965 | + | 102.965i | 0.160132 | + | 0.160132i | 0.782625 | − | 0.622493i | \(-0.213880\pi\) |
−0.622493 | + | 0.782625i | \(0.713880\pi\) | |||||||
\(644\) | −382.400 | −0.593788 | ||||||||
\(645\) | −846.651 | −1.31264 | ||||||||
\(646\) | 497.820i | 0.770618i | ||||||||
\(647\) | 499.726 | − | 499.726i | 0.772374 | − | 0.772374i | −0.206147 | − | 0.978521i | \(-0.566093\pi\) |
0.978521 | + | 0.206147i | \(0.0660926\pi\) | |||||||
\(648\) | −136.374 | − | 136.374i | −0.210454 | − | 0.210454i | ||||
\(649\) | 456.600 | − | 456.600i | 0.703544 | − | 0.703544i | ||||
\(650\) | −734.163 | −1.12948 | ||||||||
\(651\) | 573.667 | 0.881209 | ||||||||
\(652\) | 80.1478 | 0.122926 | ||||||||
\(653\) | − | 199.775i | − | 0.305934i | −0.988231 | − | 0.152967i | \(-0.951117\pi\) | ||
0.988231 | − | 0.152967i | \(-0.0488827\pi\) | |||||||
\(654\) | −1203.42 | −1.84009 | ||||||||
\(655\) | − | 246.369i | − | 0.376136i | ||||||
\(656\) | 1193.48i | 1.81933i | ||||||||
\(657\) | 84.4356 | + | 84.4356i | 0.128517 | + | 0.128517i | ||||
\(658\) | −1410.17 | + | 1410.17i | −2.14312 | + | 2.14312i | ||||
\(659\) | 22.8023 | − | 22.8023i | 0.0346013 | − | 0.0346013i | −0.689594 | − | 0.724196i | \(-0.742211\pi\) |
0.724196 | + | 0.689594i | \(0.242211\pi\) | |||||||
\(660\) | −556.052 | + | 556.052i | −0.842503 | + | 0.842503i | ||||
\(661\) | −398.088 | −0.602251 | −0.301126 | − | 0.953584i | \(-0.597362\pi\) | ||||
−0.301126 | + | 0.953584i | \(0.597362\pi\) | |||||||
\(662\) | −851.688 | − | 851.688i | −1.28654 | − | 1.28654i | ||||
\(663\) | −134.881 | + | 134.881i | −0.203440 | + | 0.203440i | ||||
\(664\) | 82.8212 | − | 82.8212i | 0.124731 | − | 0.124731i | ||||
\(665\) | −885.664 | + | 885.664i | −1.33183 | + | 1.33183i | ||||
\(666\) | 245.197 | + | 245.197i | 0.368163 | + | 0.368163i | ||||
\(667\) | −338.983 | −0.508220 | ||||||||
\(668\) | −384.933 | − | 384.933i | −0.576248 | − | 0.576248i | ||||
\(669\) | 59.4943 | + | 59.4943i | 0.0889302 | + | 0.0889302i | ||||
\(670\) | 25.1236 | + | 25.1236i | 0.0374978 | + | 0.0374978i | ||||
\(671\) | 143.678 | − | 143.678i | 0.214125 | − | 0.214125i | ||||
\(672\) | 1012.01 | 1.50597 | ||||||||
\(673\) | −556.213 | − | 556.213i | −0.826468 | − | 0.826468i | 0.160558 | − | 0.987026i | \(-0.448671\pi\) |
−0.987026 | + | 0.160558i | \(0.948671\pi\) | |||||||
\(674\) | − | 1009.68i | − | 1.49804i | ||||||
\(675\) | −1085.77 | + | 1085.77i | −1.60855 | + | 1.60855i | ||||
\(676\) | 393.897 | 0.582688 | ||||||||
\(677\) | 406.198 | + | 406.198i | 0.599997 | + | 0.599997i | 0.940312 | − | 0.340315i | \(-0.110534\pi\) |
−0.340315 | + | 0.940312i | \(0.610534\pi\) | |||||||
\(678\) | 1054.59 | − | 1054.59i | 1.55544 | − | 1.55544i | ||||
\(679\) | −1490.54 | −2.19519 | ||||||||
\(680\) | 261.729 | + | 261.729i | 0.384895 | + | 0.384895i | ||||
\(681\) | 814.265 | 1.19569 | ||||||||
\(682\) | 470.403 | + | 470.403i | 0.689741 | + | 0.689741i | ||||
\(683\) | − | 428.119i | − | 0.626821i | −0.949618 | − | 0.313411i | \(-0.898528\pi\) | ||
0.949618 | − | 0.313411i | \(-0.101472\pi\) | |||||||
\(684\) | 71.9034i | 0.105122i | ||||||||
\(685\) | 543.963 | + | 543.963i | 0.794106 | + | 0.794106i | ||||
\(686\) | 13.8775 | + | 13.8775i | 0.0202296 | + | 0.0202296i | ||||
\(687\) | − | 142.539i | − | 0.207481i | ||||||
\(688\) | 691.838i | 1.00558i | ||||||||
\(689\) | −121.578 | + | 121.578i | −0.176455 | + | 0.176455i | ||||
\(690\) | 600.732 | + | 600.732i | 0.870627 | + | 0.870627i | ||||
\(691\) | −590.323 | −0.854302 | −0.427151 | − | 0.904180i | \(-0.640483\pi\) | ||||
−0.427151 | + | 0.904180i | \(0.640483\pi\) | |||||||
\(692\) | −339.358 | −0.490401 | ||||||||
\(693\) | 150.034 | − | 150.034i | 0.216500 | − | 0.216500i | ||||
\(694\) | 417.699 | − | 417.699i | 0.601872 | − | 0.601872i | ||||
\(695\) | −2115.88 | −3.04443 | ||||||||
\(696\) | 207.244 | 0.297764 | ||||||||
\(697\) | 583.063 | − | 583.063i | 0.836533 | − | 0.836533i | ||||
\(698\) | 866.917i | 1.24200i | ||||||||
\(699\) | 287.979 | − | 287.979i | 0.411987 | − | 0.411987i | ||||
\(700\) | − | 1473.49i | − | 2.10499i | ||||||
\(701\) | −137.703 | − | 137.703i | −0.196438 | − | 0.196438i | 0.602033 | − | 0.798471i | \(-0.294358\pi\) |
−0.798471 | + | 0.602033i | \(0.794358\pi\) | |||||||
\(702\) | −283.929 | + | 283.929i | −0.404458 | + | 0.404458i | ||||
\(703\) | − | 1054.30i | − | 1.49971i | ||||||
\(704\) | 180.352 | + | 180.352i | 0.256181 | + | 0.256181i | ||||
\(705\) | 1823.75 | 2.58688 | ||||||||
\(706\) | 459.863 | − | 459.863i | 0.651364 | − | 0.651364i | ||||
\(707\) | 734.220i | 1.03850i | ||||||||
\(708\) | −289.088 | − | 289.088i | −0.408316 | − | 0.408316i | ||||
\(709\) | 185.755 | − | 185.755i | 0.261995 | − | 0.261995i | −0.563869 | − | 0.825864i | \(-0.690688\pi\) |
0.825864 | + | 0.563869i | \(0.190688\pi\) | |||||||
\(710\) | −609.331 | + | 609.331i | −0.858213 | + | 0.858213i | ||||
\(711\) | −198.403 | + | 198.403i | −0.279047 | + | 0.279047i | ||||
\(712\) | − | 75.1464i | − | 0.105543i | ||||||
\(713\) | 209.187 | − | 209.187i | 0.293390 | − | 0.293390i | ||||
\(714\) | −657.668 | − | 657.668i | −0.921104 | − | 0.921104i | ||||
\(715\) | −393.539 | − | 393.539i | −0.550404 | − | 0.550404i | ||||
\(716\) | −215.418 | − | 215.418i | −0.300863 | − | 0.300863i | ||||
\(717\) | −259.428 | + | 259.428i | −0.361824 | + | 0.361824i | ||||
\(718\) | 1215.38i | 1.69272i | ||||||||
\(719\) | 155.950 | + | 155.950i | 0.216899 | + | 0.216899i | 0.807190 | − | 0.590291i | \(-0.200987\pi\) |
−0.590291 | + | 0.807190i | \(0.700987\pi\) | |||||||
\(720\) | 217.678 | + | 217.678i | 0.302330 | + | 0.302330i | ||||
\(721\) | −93.8496 | − | 93.8496i | −0.130166 | − | 0.130166i | ||||
\(722\) | −290.020 | + | 290.020i | −0.401689 | + | 0.401689i | ||||
\(723\) | 142.106 | 0.196551 | ||||||||
\(724\) | −265.126 | −0.366196 | ||||||||
\(725\) | − | 1306.19i | − | 1.80165i | ||||||
\(726\) | −137.448 | −0.189323 | ||||||||
\(727\) | − | 927.410i | − | 1.27567i | −0.770174 | − | 0.637834i | \(-0.779831\pi\) | ||
0.770174 | − | 0.637834i | \(-0.220169\pi\) | |||||||
\(728\) | 165.460i | 0.227281i | ||||||||
\(729\) | 810.650i | 1.11200i | ||||||||
\(730\) | 1079.89 | + | 1079.89i | 1.47930 | + | 1.47930i | ||||
\(731\) | 337.990 | − | 337.990i | 0.462367 | − | 0.462367i | ||||
\(732\) | −90.9671 | − | 90.9671i | −0.124272 | − | 0.124272i | ||||
\(733\) | −464.411 | −0.633576 | −0.316788 | − | 0.948496i | \(-0.602604\pi\) | ||||
−0.316788 | + | 0.948496i | \(0.602604\pi\) | |||||||
\(734\) | 1047.47i | 1.42708i | ||||||||
\(735\) | − | 1179.02i | − | 1.60411i | ||||||
\(736\) | 369.029 | − | 369.029i | 0.501398 | − | 0.501398i | ||||
\(737\) | 18.3000i | 0.0248303i | ||||||||
\(738\) | 204.595 | − | 204.595i | 0.277229 | − | 0.277229i | ||||
\(739\) | − | 13.9757i | − | 0.0189116i | −0.999955 | − | 0.00945580i | \(-0.996990\pi\) | ||
0.999955 | − | 0.00945580i | \(-0.00300992\pi\) | |||||||
\(740\) | 1290.82 | + | 1290.82i | 1.74436 | + | 1.74436i | ||||
\(741\) | 203.506 | 0.274637 | ||||||||
\(742\) | −592.803 | − | 592.803i | −0.798926 | − | 0.798926i | ||||
\(743\) | −808.587 | + | 808.587i | −1.08827 | + | 1.08827i | −0.0925672 | + | 0.995706i | \(0.529507\pi\) |
−0.995706 | + | 0.0925672i | \(0.970493\pi\) | |||||||
\(744\) | −127.891 | + | 127.891i | −0.171896 | + | 0.171896i | ||||
\(745\) | 1343.03 | 1.80273 | ||||||||
\(746\) | − | 1445.44i | − | 1.93759i | ||||||
\(747\) | −67.3029 | −0.0900976 | ||||||||
\(748\) | − | 443.962i | − | 0.593532i | ||||||
\(749\) | −660.044 | −0.881234 | ||||||||
\(750\) | −1222.62 | + | 1222.62i | −1.63016 | + | 1.63016i | ||||
\(751\) | − | 274.540i | − | 0.365566i | −0.983153 | − | 0.182783i | \(-0.941489\pi\) | ||
0.983153 | − | 0.182783i | \(-0.0585107\pi\) | |||||||
\(752\) | − | 1490.27i | − | 1.98174i | ||||||
\(753\) | 164.342 | − | 164.342i | 0.218250 | − | 0.218250i | ||||
\(754\) | − | 341.569i | − | 0.453010i | ||||||
\(755\) | 118.795 | 0.157344 | ||||||||
\(756\) | −569.857 | − | 569.857i | −0.753779 | − | 0.753779i | ||||
\(757\) | 63.8356 | + | 63.8356i | 0.0843271 | + | 0.0843271i | 0.748012 | − | 0.663685i | \(-0.231008\pi\) |
−0.663685 | + | 0.748012i | \(0.731008\pi\) | |||||||
\(758\) | 735.770 | − | 735.770i | 0.970672 | − | 0.970672i | ||||
\(759\) | 437.573i | 0.576512i | ||||||||
\(760\) | − | 394.892i | − | 0.519595i | ||||||
\(761\) | 304.764 | − | 304.764i | 0.400478 | − | 0.400478i | −0.477923 | − | 0.878402i | \(-0.658610\pi\) |
0.878402 | + | 0.477923i | \(0.158610\pi\) | |||||||
\(762\) | −55.5987 | −0.0729642 | ||||||||
\(763\) | 1709.40 | 2.24037 | ||||||||
\(764\) | − | 597.068i | − | 0.781503i | ||||||
\(765\) | − | 212.688i | − | 0.278024i | ||||||
\(766\) | −142.754 | −0.186363 | ||||||||
\(767\) | 204.598 | − | 204.598i | 0.266751 | − | 0.266751i | ||||
\(768\) | −636.827 | + | 636.827i | −0.829202 | + | 0.829202i | ||||
\(769\) | −807.891 | −1.05057 | −0.525286 | − | 0.850925i | \(-0.676042\pi\) | ||||
−0.525286 | + | 0.850925i | \(0.676042\pi\) | |||||||
\(770\) | 1918.86 | − | 1918.86i | 2.49203 | − | 2.49203i | ||||
\(771\) | 548.590 | − | 548.590i | 0.711530 | − | 0.711530i | ||||
\(772\) | − | 288.285i | − | 0.373426i | ||||||
\(773\) | 293.474 | 0.379656 | 0.189828 | − | 0.981817i | \(-0.439207\pi\) | ||||
0.189828 | + | 0.981817i | \(0.439207\pi\) | |||||||
\(774\) | 118.600 | − | 118.600i | 0.153229 | − | 0.153229i | ||||
\(775\) | 806.056 | + | 806.056i | 1.04007 | + | 1.04007i |