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 | 14.3 | ||
Character | \(\chi\) | \(=\) | 197.14 |
Dual form | 197.3.c.a.183.3 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.37240 | + | 2.37240i | −1.18620 | + | 1.18620i | −0.208088 | + | 0.978110i | \(0.566724\pi\) |
−0.978110 | + | 0.208088i | \(0.933276\pi\) | |||||||
\(3\) | 3.08237 | − | 3.08237i | 1.02746 | − | 1.02746i | 0.0278458 | − | 0.999612i | \(-0.491135\pi\) |
0.999612 | − | 0.0278458i | \(-0.00886472\pi\) | |||||||
\(4\) | − | 7.25653i | − | 1.81413i | ||||||
\(5\) | 3.27580 | − | 3.27580i | 0.655160 | − | 0.655160i | −0.299071 | − | 0.954231i | \(-0.596677\pi\) |
0.954231 | + | 0.299071i | \(0.0966766\pi\) | |||||||
\(6\) | 14.6252i | 2.43754i | ||||||||
\(7\) | − | 0.819881i | − | 0.117126i | −0.998284 | − | 0.0585629i | \(-0.981348\pi\) | ||
0.998284 | − | 0.0585629i | \(-0.0186518\pi\) | |||||||
\(8\) | 7.72579 | + | 7.72579i | 0.965724 | + | 0.965724i | ||||
\(9\) | − | 10.0021i | − | 1.11134i | ||||||
\(10\) | 15.5430i | 1.55430i | ||||||||
\(11\) | −4.39521 | + | 4.39521i | −0.399565 | + | 0.399565i | −0.878080 | − | 0.478515i | \(-0.841175\pi\) |
0.478515 | + | 0.878080i | \(0.341175\pi\) | |||||||
\(12\) | −22.3674 | − | 22.3674i | −1.86395 | − | 1.86395i | ||||
\(13\) | 5.48761 | − | 5.48761i | 0.422124 | − | 0.422124i | −0.463810 | − | 0.885934i | \(-0.653518\pi\) |
0.885934 | + | 0.463810i | \(0.153518\pi\) | |||||||
\(14\) | 1.94508 | + | 1.94508i | 0.138934 | + | 0.138934i | ||||
\(15\) | − | 20.1945i | − | 1.34630i | ||||||
\(16\) | −7.63115 | −0.476947 | ||||||||
\(17\) | −18.6785 | − | 18.6785i | −1.09873 | − | 1.09873i | −0.994559 | − | 0.104176i | \(-0.966780\pi\) |
−0.104176 | − | 0.994559i | \(-0.533220\pi\) | |||||||
\(18\) | 23.7289 | + | 23.7289i | 1.31827 | + | 1.31827i | ||||
\(19\) | − | 22.4970i | − | 1.18405i | −0.805919 | − | 0.592026i | \(-0.798328\pi\) | ||
0.805919 | − | 0.592026i | \(-0.201672\pi\) | |||||||
\(20\) | −23.7710 | − | 23.7710i | −1.18855 | − | 1.18855i | ||||
\(21\) | −2.52718 | − | 2.52718i | −0.120342 | − | 0.120342i | ||||
\(22\) | − | 20.8544i | − | 0.947927i | ||||||
\(23\) | −3.81214 | −0.165745 | −0.0828725 | − | 0.996560i | \(-0.526409\pi\) | ||||
−0.0828725 | + | 0.996560i | \(0.526409\pi\) | |||||||
\(24\) | 47.6276 | 1.98448 | ||||||||
\(25\) | 3.53825i | 0.141530i | ||||||||
\(26\) | 26.0376i | 1.00145i | ||||||||
\(27\) | −3.08872 | − | 3.08872i | −0.114397 | − | 0.114397i | ||||
\(28\) | −5.94949 | −0.212482 | ||||||||
\(29\) | 23.0467 | 0.794713 | 0.397356 | − | 0.917664i | \(-0.369928\pi\) | ||||
0.397356 | + | 0.917664i | \(0.369928\pi\) | |||||||
\(30\) | 47.9093 | + | 47.9093i | 1.59698 | + | 1.59698i | ||||
\(31\) | 5.47013 | − | 5.47013i | 0.176456 | − | 0.176456i | −0.613353 | − | 0.789809i | \(-0.710180\pi\) |
0.789809 | + | 0.613353i | \(0.210180\pi\) | |||||||
\(32\) | −12.7990 | + | 12.7990i | −0.399970 | + | 0.399970i | ||||
\(33\) | 27.0954i | 0.821072i | ||||||||
\(34\) | 88.6256 | 2.60663 | ||||||||
\(35\) | −2.68577 | − | 2.68577i | −0.0767362 | − | 0.0767362i | ||||
\(36\) | −72.5803 | −2.01612 | ||||||||
\(37\) | 24.8800 | 0.672434 | 0.336217 | − | 0.941785i | \(-0.390853\pi\) | ||||
0.336217 | + | 0.941785i | \(0.390853\pi\) | |||||||
\(38\) | 53.3718 | + | 53.3718i | 1.40452 | + | 1.40452i | ||||
\(39\) | − | 33.8297i | − | 0.867429i | ||||||
\(40\) | 50.6163 | 1.26541 | ||||||||
\(41\) | 0.125150i | 0.00305243i | 0.999999 | + | 0.00152622i | \(0.000485810\pi\) | ||||
−0.999999 | + | 0.00152622i | \(0.999514\pi\) | |||||||
\(42\) | 11.9909 | 0.285499 | ||||||||
\(43\) | − | 48.0131i | − | 1.11658i | −0.829645 | − | 0.558292i | \(-0.811457\pi\) | ||
0.829645 | − | 0.558292i | \(-0.188543\pi\) | |||||||
\(44\) | 31.8940 | + | 31.8940i | 0.724864 | + | 0.724864i | ||||
\(45\) | −32.7648 | − | 32.7648i | −0.728106 | − | 0.728106i | ||||
\(46\) | 9.04390 | − | 9.04390i | 0.196607 | − | 0.196607i | ||||
\(47\) | 61.5091i | 1.30870i | 0.756190 | + | 0.654352i | \(0.227059\pi\) | ||||
−0.756190 | + | 0.654352i | \(0.772941\pi\) | |||||||
\(48\) | −23.5221 | + | 23.5221i | −0.490043 | + | 0.490043i | ||||
\(49\) | 48.3278 | 0.986282 | ||||||||
\(50\) | −8.39413 | − | 8.39413i | −0.167883 | − | 0.167883i | ||||
\(51\) | −115.148 | −2.25781 | ||||||||
\(52\) | −39.8210 | − | 39.8210i | −0.765789 | − | 0.765789i | ||||
\(53\) | 32.8032 | 0.618929 | 0.309465 | − | 0.950911i | \(-0.399850\pi\) | ||||
0.309465 | + | 0.950911i | \(0.399850\pi\) | |||||||
\(54\) | 14.6553 | 0.271395 | ||||||||
\(55\) | 28.7957i | 0.523558i | ||||||||
\(56\) | 6.33423 | − | 6.33423i | 0.113111 | − | 0.113111i | ||||
\(57\) | −69.3442 | − | 69.3442i | −1.21656 | − | 1.21656i | ||||
\(58\) | −54.6758 | + | 54.6758i | −0.942687 | + | 0.942687i | ||||
\(59\) | −56.0504 | −0.950006 | −0.475003 | − | 0.879984i | \(-0.657553\pi\) | ||||
−0.475003 | + | 0.879984i | \(0.657553\pi\) | |||||||
\(60\) | −146.542 | −2.44237 | ||||||||
\(61\) | −108.466 | −1.77813 | −0.889065 | − | 0.457781i | \(-0.848644\pi\) | ||||
−0.889065 | + | 0.457781i | \(0.848644\pi\) | |||||||
\(62\) | 25.9547i | 0.418624i | ||||||||
\(63\) | −8.20050 | −0.130167 | ||||||||
\(64\) | − | 91.2534i | − | 1.42584i | ||||||
\(65\) | − | 35.9527i | − | 0.553118i | ||||||
\(66\) | −64.2810 | − | 64.2810i | −0.973955 | − | 0.973955i | ||||
\(67\) | 68.6798 | − | 68.6798i | 1.02507 | − | 1.02507i | 0.0253934 | − | 0.999678i | \(-0.491916\pi\) |
0.999678 | − | 0.0253934i | \(-0.00808383\pi\) | |||||||
\(68\) | −135.541 | + | 135.541i | −1.99325 | + | 1.99325i | ||||
\(69\) | −11.7504 | + | 11.7504i | −0.170296 | + | 0.170296i | ||||
\(70\) | 12.7434 | 0.182049 | ||||||||
\(71\) | 70.0898 | + | 70.0898i | 0.987180 | + | 0.987180i | 0.999919 | − | 0.0127390i | \(-0.00405505\pi\) |
−0.0127390 | + | 0.999919i | \(0.504055\pi\) | |||||||
\(72\) | 77.2738 | − | 77.2738i | 1.07325 | − | 1.07325i | ||||
\(73\) | 4.47833 | − | 4.47833i | 0.0613470 | − | 0.0613470i | −0.675768 | − | 0.737115i | \(-0.736188\pi\) |
0.737115 | + | 0.675768i | \(0.236188\pi\) | |||||||
\(74\) | −59.0253 | + | 59.0253i | −0.797640 | + | 0.797640i | ||||
\(75\) | 10.9062 | + | 10.9062i | 0.145416 | + | 0.145416i | ||||
\(76\) | −163.250 | −2.14803 | ||||||||
\(77\) | 3.60355 | + | 3.60355i | 0.0467994 | + | 0.0467994i | ||||
\(78\) | 80.2576 | + | 80.2576i | 1.02894 | + | 1.02894i | ||||
\(79\) | 43.2246 | + | 43.2246i | 0.547147 | + | 0.547147i | 0.925615 | − | 0.378467i | \(-0.123549\pi\) |
−0.378467 | + | 0.925615i | \(0.623549\pi\) | |||||||
\(80\) | −24.9981 | + | 24.9981i | −0.312477 | + | 0.312477i | ||||
\(81\) | 70.9774 | 0.876264 | ||||||||
\(82\) | −0.296905 | − | 0.296905i | −0.00362079 | − | 0.00362079i | ||||
\(83\) | 58.1466i | 0.700561i | 0.936645 | + | 0.350281i | \(0.113914\pi\) | ||||
−0.936645 | + | 0.350281i | \(0.886086\pi\) | |||||||
\(84\) | −18.3386 | + | 18.3386i | −0.218316 | + | 0.218316i | ||||
\(85\) | −122.374 | −1.43969 | ||||||||
\(86\) | 113.906 | + | 113.906i | 1.32449 | + | 1.32449i | ||||
\(87\) | 71.0385 | − | 71.0385i | 0.816534 | − | 0.816534i | ||||
\(88\) | −67.9130 | −0.771739 | ||||||||
\(89\) | 106.620 | + | 106.620i | 1.19797 | + | 1.19797i | 0.974772 | + | 0.223202i | \(0.0716509\pi\) |
0.223202 | + | 0.974772i | \(0.428349\pi\) | |||||||
\(90\) | 155.462 | 1.72736 | ||||||||
\(91\) | −4.49919 | − | 4.49919i | −0.0494416 | − | 0.0494416i | ||||
\(92\) | 27.6629i | 0.300684i | ||||||||
\(93\) | − | 33.7220i | − | 0.362602i | ||||||
\(94\) | −145.924 | − | 145.924i | −1.55238 | − | 1.55238i | ||||
\(95\) | −73.6957 | − | 73.6957i | −0.775744 | − | 0.775744i | ||||
\(96\) | 78.9029i | 0.821905i | ||||||||
\(97\) | 12.2502i | 0.126291i | 0.998004 | + | 0.0631455i | \(0.0201132\pi\) | ||||
−0.998004 | + | 0.0631455i | \(0.979887\pi\) | |||||||
\(98\) | −114.653 | + | 114.653i | −1.16993 | + | 1.16993i | ||||
\(99\) | 43.9612 | + | 43.9612i | 0.444052 | + | 0.444052i | ||||
\(100\) | 25.6754 | 0.256754 | ||||||||
\(101\) | −31.6367 | −0.313234 | −0.156617 | − | 0.987659i | \(-0.550059\pi\) | ||||
−0.156617 | + | 0.987659i | \(0.550059\pi\) | |||||||
\(102\) | 273.177 | − | 273.177i | 2.67821 | − | 2.67821i | ||||
\(103\) | −42.9539 | + | 42.9539i | −0.417028 | + | 0.417028i | −0.884178 | − | 0.467150i | \(-0.845281\pi\) |
0.467150 | + | 0.884178i | \(0.345281\pi\) | |||||||
\(104\) | 84.7923 | 0.815310 | ||||||||
\(105\) | −16.5571 | −0.157686 | ||||||||
\(106\) | −77.8223 | + | 77.8223i | −0.734173 | + | 0.734173i | ||||
\(107\) | 116.722i | 1.09086i | 0.838157 | + | 0.545429i | \(0.183633\pi\) | ||||
−0.838157 | + | 0.545429i | \(0.816367\pi\) | |||||||
\(108\) | −22.4134 | + | 22.4134i | −0.207531 | + | 0.207531i | ||||
\(109\) | − | 48.5873i | − | 0.445755i | −0.974846 | − | 0.222878i | \(-0.928455\pi\) | ||
0.974846 | − | 0.222878i | \(-0.0715450\pi\) | |||||||
\(110\) | −68.3148 | − | 68.3148i | −0.621044 | − | 0.621044i | ||||
\(111\) | 76.6896 | − | 76.6896i | 0.690897 | − | 0.690897i | ||||
\(112\) | 6.25663i | 0.0558628i | ||||||||
\(113\) | −122.345 | − | 122.345i | −1.08270 | − | 1.08270i | −0.996257 | − | 0.0864404i | \(-0.972451\pi\) |
−0.0864404 | − | 0.996257i | \(-0.527549\pi\) | |||||||
\(114\) | 329.024 | 2.88617 | ||||||||
\(115\) | −12.4878 | + | 12.4878i | −0.108590 | + | 0.108590i | ||||
\(116\) | − | 167.239i | − | 1.44172i | ||||||
\(117\) | −54.8874 | − | 54.8874i | −0.469123 | − | 0.469123i | ||||
\(118\) | 132.974 | − | 132.974i | 1.12690 | − | 1.12690i | ||||
\(119\) | −15.3141 | + | 15.3141i | −0.128690 | + | 0.128690i | ||||
\(120\) | 156.018 | − | 156.018i | 1.30015 | − | 1.30015i | ||||
\(121\) | 82.3642i | 0.680696i | ||||||||
\(122\) | 257.324 | − | 257.324i | 2.10921 | − | 2.10921i | ||||
\(123\) | 0.385758 | + | 0.385758i | 0.00313625 | + | 0.00313625i | ||||
\(124\) | −39.6942 | − | 39.6942i | −0.320115 | − | 0.320115i | ||||
\(125\) | 93.4856 | + | 93.4856i | 0.747885 | + | 0.747885i | ||||
\(126\) | 19.4548 | − | 19.4548i | 0.154403 | − | 0.154403i | ||||
\(127\) | 85.8354i | 0.675869i | 0.941170 | + | 0.337935i | \(0.109728\pi\) | ||||
−0.941170 | + | 0.337935i | \(0.890272\pi\) | |||||||
\(128\) | 165.293 | + | 165.293i | 1.29135 | + | 1.29135i | ||||
\(129\) | −147.994 | − | 147.994i | −1.14724 | − | 1.14724i | ||||
\(130\) | 85.2940 | + | 85.2940i | 0.656107 | + | 0.656107i | ||||
\(131\) | −87.7433 | + | 87.7433i | −0.669796 | + | 0.669796i | −0.957669 | − | 0.287873i | \(-0.907052\pi\) |
0.287873 | + | 0.957669i | \(0.407052\pi\) | |||||||
\(132\) | 196.619 | 1.48953 | ||||||||
\(133\) | −18.4449 | −0.138683 | ||||||||
\(134\) | 325.871i | 2.43188i | ||||||||
\(135\) | −20.2361 | −0.149897 | ||||||||
\(136\) | − | 288.612i | − | 2.12215i | ||||||
\(137\) | 65.1374i | 0.475455i | 0.971332 | + | 0.237728i | \(0.0764026\pi\) | ||||
−0.971332 | + | 0.237728i | \(0.923597\pi\) | |||||||
\(138\) | − | 55.7534i | − | 0.404010i | ||||||
\(139\) | 107.142 | + | 107.142i | 0.770803 | + | 0.770803i | 0.978247 | − | 0.207444i | \(-0.0665145\pi\) |
−0.207444 | + | 0.978247i | \(0.566515\pi\) | |||||||
\(140\) | −19.4894 | + | 19.4894i | −0.139210 | + | 0.139210i | ||||
\(141\) | 189.594 | + | 189.594i | 1.34464 | + | 1.34464i | ||||
\(142\) | −332.562 | −2.34198 | ||||||||
\(143\) | 48.2385i | 0.337332i | ||||||||
\(144\) | 76.3272i | 0.530050i | ||||||||
\(145\) | 75.4963 | − | 75.4963i | 0.520664 | − | 0.520664i | ||||
\(146\) | 21.2487i | 0.145539i | ||||||||
\(147\) | 148.964 | − | 148.964i | 1.01336 | − | 1.01336i | ||||
\(148\) | − | 180.543i | − | 1.21988i | ||||||
\(149\) | −142.706 | − | 142.706i | −0.957757 | − | 0.957757i | 0.0413859 | − | 0.999143i | \(-0.486823\pi\) |
−0.999143 | + | 0.0413859i | \(0.986823\pi\) | |||||||
\(150\) | −51.7477 | −0.344985 | ||||||||
\(151\) | 143.842 | + | 143.842i | 0.952598 | + | 0.952598i | 0.998926 | − | 0.0463279i | \(-0.0147519\pi\) |
−0.0463279 | + | 0.998926i | \(0.514752\pi\) | |||||||
\(152\) | 173.807 | − | 173.807i | 1.14347 | − | 1.14347i | ||||
\(153\) | −186.823 | + | 186.823i | −1.22107 | + | 1.22107i | ||||
\(154\) | −17.0981 | −0.111027 | ||||||||
\(155\) | − | 35.8381i | − | 0.231214i | ||||||
\(156\) | −245.487 | −1.57363 | ||||||||
\(157\) | − | 293.312i | − | 1.86823i | −0.356971 | − | 0.934116i | \(-0.616190\pi\) | ||
0.356971 | − | 0.934116i | \(-0.383810\pi\) | |||||||
\(158\) | −205.092 | −1.29805 | ||||||||
\(159\) | 101.112 | − | 101.112i | 0.635924 | − | 0.635924i | ||||
\(160\) | 83.8543i | 0.524089i | ||||||||
\(161\) | 3.12550i | 0.0194130i | ||||||||
\(162\) | −168.386 | + | 168.386i | −1.03942 | + | 1.03942i | ||||
\(163\) | 85.4023i | 0.523941i | 0.965076 | + | 0.261970i | \(0.0843723\pi\) | ||||
−0.965076 | + | 0.261970i | \(0.915628\pi\) | |||||||
\(164\) | 0.908154 | 0.00553752 | ||||||||
\(165\) | 88.7591 | + | 88.7591i | 0.537934 | + | 0.537934i | ||||
\(166\) | −137.947 | − | 137.947i | −0.831005 | − | 0.831005i | ||||
\(167\) | 153.489 | − | 153.489i | 0.919095 | − | 0.919095i | −0.0778686 | − | 0.996964i | \(-0.524811\pi\) |
0.996964 | + | 0.0778686i | \(0.0248115\pi\) | |||||||
\(168\) | − | 39.0489i | − | 0.232434i | ||||||
\(169\) | 108.772i | 0.643623i | ||||||||
\(170\) | 290.320 | − | 290.320i | 1.70776 | − | 1.70776i | ||||
\(171\) | −225.016 | −1.31588 | ||||||||
\(172\) | −348.409 | −2.02563 | ||||||||
\(173\) | − | 98.9897i | − | 0.572195i | −0.958201 | − | 0.286097i | \(-0.907642\pi\) | ||
0.958201 | − | 0.286097i | \(-0.0923581\pi\) | |||||||
\(174\) | 337.063i | 1.93714i | ||||||||
\(175\) | 2.90094 | 0.0165768 | ||||||||
\(176\) | 33.5405 | − | 33.5405i | 0.190571 | − | 0.190571i | ||||
\(177\) | −172.768 | + | 172.768i | −0.976091 | + | 0.976091i | ||||
\(178\) | −505.888 | −2.84207 | ||||||||
\(179\) | −214.314 | + | 214.314i | −1.19729 | + | 1.19729i | −0.222309 | + | 0.974976i | \(0.571360\pi\) |
−0.974976 | + | 0.222309i | \(0.928640\pi\) | |||||||
\(180\) | −237.759 | + | 237.759i | −1.32088 | + | 1.32088i | ||||
\(181\) | 72.8828i | 0.402667i | 0.979523 | + | 0.201334i | \(0.0645276\pi\) | ||||
−0.979523 | + | 0.201334i | \(0.935472\pi\) | |||||||
\(182\) | 21.3477 | 0.117295 | ||||||||
\(183\) | −334.332 | + | 334.332i | −1.82695 | + | 1.82695i | ||||
\(184\) | −29.4518 | − | 29.4518i | −0.160064 | − | 0.160064i | ||||
\(185\) | 81.5021 | − | 81.5021i | 0.440552 | − | 0.440552i | ||||
\(186\) | 80.0020 | + | 80.0020i | 0.430118 | + | 0.430118i | ||||
\(187\) | 164.192 | 0.878032 | ||||||||
\(188\) | 446.343 | 2.37416 | ||||||||
\(189\) | −2.53238 | + | 2.53238i | −0.0133988 | + | 0.0133988i | ||||
\(190\) | 349.671 | 1.84037 | ||||||||
\(191\) | −181.701 | −0.951312 | −0.475656 | − | 0.879632i | \(-0.657789\pi\) | ||||
−0.475656 | + | 0.879632i | \(0.657789\pi\) | |||||||
\(192\) | −281.277 | − | 281.277i | −1.46499 | − | 1.46499i | ||||
\(193\) | 281.726 | 1.45972 | 0.729861 | − | 0.683596i | \(-0.239585\pi\) | ||||
0.729861 | + | 0.683596i | \(0.239585\pi\) | |||||||
\(194\) | −29.0624 | − | 29.0624i | −0.149806 | − | 0.149806i | ||||
\(195\) | −110.820 | − | 110.820i | −0.568305 | − | 0.568305i | ||||
\(196\) | − | 350.692i | − | 1.78925i | ||||||
\(197\) | −21.2380 | − | 195.852i | −0.107807 | − | 0.994172i | ||||
\(198\) | −208.587 | −1.05347 | ||||||||
\(199\) | −23.8535 | + | 23.8535i | −0.119867 | + | 0.119867i | −0.764496 | − | 0.644629i | \(-0.777012\pi\) |
0.644629 | + | 0.764496i | \(0.277012\pi\) | |||||||
\(200\) | −27.3358 | + | 27.3358i | −0.136679 | + | 0.136679i | ||||
\(201\) | − | 423.393i | − | 2.10643i | ||||||
\(202\) | 75.0547 | − | 75.0547i | 0.371558 | − | 0.371558i | ||||
\(203\) | − | 18.8955i | − | 0.0930814i | ||||||
\(204\) | 835.577i | 4.09596i | ||||||||
\(205\) | 0.409966 | + | 0.409966i | 0.00199983 | + | 0.00199983i | ||||
\(206\) | − | 203.807i | − | 0.989356i | ||||||
\(207\) | 38.1292i | 0.184199i | ||||||||
\(208\) | −41.8768 | + | 41.8768i | −0.201331 | + | 0.201331i | ||||
\(209\) | 98.8791 | + | 98.8791i | 0.473106 | + | 0.473106i | ||||
\(210\) | 39.2800 | − | 39.2800i | 0.187047 | − | 0.187047i | ||||
\(211\) | −110.556 | − | 110.556i | −0.523963 | − | 0.523963i | 0.394803 | − | 0.918766i | \(-0.370813\pi\) |
−0.918766 | + | 0.394803i | \(0.870813\pi\) | |||||||
\(212\) | − | 238.038i | − | 1.12282i | ||||||
\(213\) | 432.086 | 2.02857 | ||||||||
\(214\) | −276.910 | − | 276.910i | −1.29397 | − | 1.29397i | ||||
\(215\) | −157.281 | − | 157.281i | −0.731541 | − | 0.731541i | ||||
\(216\) | − | 47.7256i | − | 0.220952i | ||||||
\(217\) | −4.48486 | − | 4.48486i | −0.0206675 | − | 0.0206675i | ||||
\(218\) | 115.268 | + | 115.268i | 0.528754 | + | 0.528754i | ||||
\(219\) | − | 27.6078i | − | 0.126063i | ||||||
\(220\) | 208.957 | 0.949804 | ||||||||
\(221\) | −205.001 | −0.927604 | ||||||||
\(222\) | 363.876i | 1.63908i | ||||||||
\(223\) | − | 73.8097i | − | 0.330985i | −0.986211 | − | 0.165493i | \(-0.947079\pi\) | ||
0.986211 | − | 0.165493i | \(-0.0529214\pi\) | |||||||
\(224\) | 10.4937 | + | 10.4937i | 0.0468468 | + | 0.0468468i | ||||
\(225\) | 35.3898 | 0.157288 | ||||||||
\(226\) | 580.501 | 2.56859 | ||||||||
\(227\) | −46.4421 | − | 46.4421i | −0.204591 | − | 0.204591i | 0.597373 | − | 0.801964i | \(-0.296211\pi\) |
−0.801964 | + | 0.597373i | \(0.796211\pi\) | |||||||
\(228\) | −503.198 | + | 503.198i | −2.20701 | + | 2.20701i | ||||
\(229\) | −110.329 | + | 110.329i | −0.481785 | + | 0.481785i | −0.905701 | − | 0.423917i | \(-0.860655\pi\) |
0.423917 | + | 0.905701i | \(0.360655\pi\) | |||||||
\(230\) | − | 59.2520i | − | 0.257618i | ||||||
\(231\) | 22.2150 | 0.0961688 | ||||||||
\(232\) | 178.054 | + | 178.054i | 0.767473 | + | 0.767473i | ||||
\(233\) | 327.849 | 1.40708 | 0.703538 | − | 0.710658i | \(-0.251603\pi\) | ||||
0.703538 | + | 0.710658i | \(0.251603\pi\) | |||||||
\(234\) | 260.429 | 1.11295 | ||||||||
\(235\) | 201.492 | + | 201.492i | 0.857411 | + | 0.857411i | ||||
\(236\) | 406.731i | 1.72344i | ||||||||
\(237\) | 266.469 | 1.12434 | ||||||||
\(238\) | − | 72.6624i | − | 0.305304i | ||||||
\(239\) | −51.5982 | −0.215892 | −0.107946 | − | 0.994157i | \(-0.534427\pi\) | ||||
−0.107946 | + | 0.994157i | \(0.534427\pi\) | |||||||
\(240\) | 154.107i | 0.642113i | ||||||||
\(241\) | 294.588 | + | 294.588i | 1.22236 | + | 1.22236i | 0.966792 | + | 0.255565i | \(0.0822613\pi\) |
0.255565 | + | 0.966792i | \(0.417739\pi\) | |||||||
\(242\) | −195.401 | − | 195.401i | −0.807440 | − | 0.807440i | ||||
\(243\) | 246.577 | − | 246.577i | 1.01472 | − | 1.01472i | ||||
\(244\) | 787.087i | 3.22576i | ||||||||
\(245\) | 158.312 | − | 158.312i | 0.646172 | − | 0.646172i | ||||
\(246\) | −1.83034 | −0.00744042 | ||||||||
\(247\) | −123.455 | − | 123.455i | −0.499817 | − | 0.499817i | ||||
\(248\) | 84.5222 | 0.340815 | ||||||||
\(249\) | 179.230 | + | 179.230i | 0.719797 | + | 0.719797i | ||||
\(250\) | −443.570 | −1.77428 | ||||||||
\(251\) | 214.813 | 0.855828 | 0.427914 | − | 0.903819i | \(-0.359249\pi\) | ||||
0.427914 | + | 0.903819i | \(0.359249\pi\) | |||||||
\(252\) | 59.5072i | 0.236140i | ||||||||
\(253\) | 16.7552 | − | 16.7552i | 0.0662259 | − | 0.0662259i | ||||
\(254\) | −203.636 | − | 203.636i | −0.801715 | − | 0.801715i | ||||
\(255\) | −377.203 | + | 377.203i | −1.47923 | + | 1.47923i | ||||
\(256\) | −419.268 | −1.63777 | ||||||||
\(257\) | −387.798 | −1.50894 | −0.754471 | − | 0.656334i | \(-0.772106\pi\) | ||||
−0.754471 | + | 0.656334i | \(0.772106\pi\) | |||||||
\(258\) | 702.203 | 2.72172 | ||||||||
\(259\) | − | 20.3987i | − | 0.0787593i | ||||||
\(260\) | −260.892 | −1.00343 | ||||||||
\(261\) | − | 230.514i | − | 0.883196i | ||||||
\(262\) | − | 416.324i | − | 1.58902i | ||||||
\(263\) | 23.2568 | + | 23.2568i | 0.0884288 | + | 0.0884288i | 0.749937 | − | 0.661509i | \(-0.230084\pi\) |
−0.661509 | + | 0.749937i | \(0.730084\pi\) | |||||||
\(264\) | −209.333 | + | 209.333i | −0.792929 | + | 0.792929i | ||||
\(265\) | 107.457 | − | 107.457i | 0.405498 | − | 0.405498i | ||||
\(266\) | 43.7585 | − | 43.7585i | 0.164506 | − | 0.164506i | ||||
\(267\) | 657.283 | 2.46174 | ||||||||
\(268\) | −498.377 | − | 498.377i | −1.85962 | − | 1.85962i | ||||
\(269\) | 146.130 | − | 146.130i | 0.543233 | − | 0.543233i | −0.381242 | − | 0.924475i | \(-0.624504\pi\) |
0.924475 | + | 0.381242i | \(0.124504\pi\) | |||||||
\(270\) | 48.0080 | − | 48.0080i | 0.177807 | − | 0.177807i | ||||
\(271\) | 19.7746 | − | 19.7746i | 0.0729691 | − | 0.0729691i | −0.669680 | − | 0.742649i | \(-0.733569\pi\) |
0.742649 | + | 0.669680i | \(0.233569\pi\) | |||||||
\(272\) | 142.538 | + | 142.538i | 0.524038 | + | 0.524038i | ||||
\(273\) | −27.7364 | −0.101598 | ||||||||
\(274\) | −154.532 | − | 154.532i | −0.563984 | − | 0.563984i | ||||
\(275\) | −15.5514 | − | 15.5514i | −0.0565504 | − | 0.0565504i | ||||
\(276\) | 85.2674 | + | 85.2674i | 0.308940 | + | 0.308940i | ||||
\(277\) | 125.343 | − | 125.343i | 0.452501 | − | 0.452501i | −0.443683 | − | 0.896184i | \(-0.646328\pi\) |
0.896184 | + | 0.443683i | \(0.146328\pi\) | |||||||
\(278\) | −508.365 | −1.82865 | ||||||||
\(279\) | −54.7126 | − | 54.7126i | −0.196103 | − | 0.196103i | ||||
\(280\) | − | 41.4993i | − | 0.148212i | ||||||
\(281\) | 265.807 | − | 265.807i | 0.945933 | − | 0.945933i | −0.0526783 | − | 0.998612i | \(-0.516776\pi\) |
0.998612 | + | 0.0526783i | \(0.0167758\pi\) | |||||||
\(282\) | −899.584 | −3.19002 | ||||||||
\(283\) | −173.693 | − | 173.693i | −0.613756 | − | 0.613756i | 0.330167 | − | 0.943923i | \(-0.392895\pi\) |
−0.943923 | + | 0.330167i | \(0.892895\pi\) | |||||||
\(284\) | 508.609 | − | 508.609i | 1.79088 | − | 1.79088i | ||||
\(285\) | −454.315 | −1.59409 | ||||||||
\(286\) | −114.441 | − | 114.441i | −0.400143 | − | 0.400143i | ||||
\(287\) | 0.102608 | 0.000357519 | ||||||||
\(288\) | 128.017 | + | 128.017i | 0.444503 | + | 0.444503i | ||||
\(289\) | 408.772i | 1.41443i | ||||||||
\(290\) | 358.214i | 1.23522i | ||||||||
\(291\) | 37.7598 | + | 37.7598i | 0.129759 | + | 0.129759i | ||||
\(292\) | −32.4971 | − | 32.4971i | −0.111292 | − | 0.111292i | ||||
\(293\) | − | 164.093i | − | 0.560044i | −0.959994 | − | 0.280022i | \(-0.909658\pi\) | ||
0.959994 | − | 0.280022i | \(-0.0903417\pi\) | |||||||
\(294\) | 706.805i | 2.40410i | ||||||||
\(295\) | −183.610 | + | 183.610i | −0.622406 | + | 0.622406i | ||||
\(296\) | 192.218 | + | 192.218i | 0.649385 | + | 0.649385i | ||||
\(297\) | 27.1512 | 0.0914181 | ||||||||
\(298\) | 677.110 | 2.27218 | ||||||||
\(299\) | −20.9195 | + | 20.9195i | −0.0699650 | + | 0.0699650i | ||||
\(300\) | 79.1413 | − | 79.1413i | 0.263804 | − | 0.263804i | ||||
\(301\) | −39.3650 | −0.130781 | ||||||||
\(302\) | −682.502 | −2.25994 | ||||||||
\(303\) | −97.5161 | + | 97.5161i | −0.321835 | + | 0.321835i | ||||
\(304\) | 171.678i | 0.564730i | ||||||||
\(305\) | −355.313 | + | 355.313i | −1.16496 | + | 1.16496i | ||||
\(306\) | − | 886.438i | − | 2.89686i | ||||||
\(307\) | −224.467 | − | 224.467i | −0.731162 | − | 0.731162i | 0.239688 | − | 0.970850i | \(-0.422955\pi\) |
−0.970850 | + | 0.239688i | \(0.922955\pi\) | |||||||
\(308\) | 26.1493 | − | 26.1493i | 0.0849003 | − | 0.0849003i | ||||
\(309\) | 264.800i | 0.856958i | ||||||||
\(310\) | 85.0223 | + | 85.0223i | 0.274266 | + | 0.274266i | ||||
\(311\) | 306.877 | 0.986741 | 0.493371 | − | 0.869819i | \(-0.335765\pi\) | ||||
0.493371 | + | 0.869819i | \(0.335765\pi\) | |||||||
\(312\) | 261.362 | − | 261.362i | 0.837697 | − | 0.837697i | ||||
\(313\) | − | 304.924i | − | 0.974198i | −0.873347 | − | 0.487099i | \(-0.838055\pi\) | ||
0.873347 | − | 0.487099i | \(-0.161945\pi\) | |||||||
\(314\) | 695.853 | + | 695.853i | 2.21609 | + | 2.21609i | ||||
\(315\) | −26.8632 | + | 26.8632i | −0.0852800 | + | 0.0852800i | ||||
\(316\) | 313.661 | − | 313.661i | 0.992598 | − | 0.992598i | ||||
\(317\) | 418.763 | − | 418.763i | 1.32102 | − | 1.32102i | 0.408068 | − | 0.912951i | \(-0.366202\pi\) |
0.912951 | − | 0.408068i | \(-0.133798\pi\) | |||||||
\(318\) | 479.755i | 1.50866i | ||||||||
\(319\) | −101.295 | + | 101.295i | −0.317539 | + | 0.317539i | ||||
\(320\) | −298.928 | − | 298.928i | −0.934150 | − | 0.934150i | ||||
\(321\) | 359.780 | + | 359.780i | 1.12081 | + | 1.12081i | ||||
\(322\) | −7.41492 | − | 7.41492i | −0.0230277 | − | 0.0230277i | ||||
\(323\) | −420.210 | + | 420.210i | −1.30096 | + | 1.30096i | ||||
\(324\) | − | 515.050i | − | 1.58966i | ||||||
\(325\) | 19.4165 | + | 19.4165i | 0.0597432 | + | 0.0597432i | ||||
\(326\) | −202.608 | − | 202.608i | −0.621498 | − | 0.621498i | ||||
\(327\) | −149.764 | − | 149.764i | −0.457995 | − | 0.457995i | ||||
\(328\) | −0.966881 | + | 0.966881i | −0.00294781 | + | 0.00294781i | ||||
\(329\) | 50.4301 | 0.153283 | ||||||||
\(330\) | −421.144 | −1.27619 | ||||||||
\(331\) | 462.020i | 1.39583i | 0.716180 | + | 0.697915i | \(0.245889\pi\) | ||||
−0.716180 | + | 0.697915i | \(0.754111\pi\) | |||||||
\(332\) | 421.943 | 1.27091 | ||||||||
\(333\) | − | 248.852i | − | 0.747302i | ||||||
\(334\) | 728.273i | 2.18046i | ||||||||
\(335\) | − | 449.962i | − | 1.34317i | ||||||
\(336\) | 19.2853 | + | 19.2853i | 0.0573967 | + | 0.0573967i | ||||
\(337\) | −342.994 | + | 342.994i | −1.01779 | + | 1.01779i | −0.0179486 | + | 0.999839i | \(0.505714\pi\) |
−0.999839 | + | 0.0179486i | \(0.994286\pi\) | |||||||
\(338\) | −258.051 | − | 258.051i | −0.763464 | − | 0.763464i | ||||
\(339\) | −754.225 | −2.22485 | ||||||||
\(340\) | 888.011i | 2.61180i | ||||||||
\(341\) | 48.0848i | 0.141011i | ||||||||
\(342\) | 533.828 | − | 533.828i | 1.56090 | − | 1.56090i | ||||
\(343\) | − | 79.7972i | − | 0.232645i | ||||||
\(344\) | 370.939 | − | 370.939i | 1.07831 | − | 1.07831i | ||||
\(345\) | 76.9841i | 0.223142i | ||||||||
\(346\) | 234.843 | + | 234.843i | 0.678737 | + | 0.678737i | ||||
\(347\) | −480.723 | −1.38537 | −0.692684 | − | 0.721241i | \(-0.743572\pi\) | ||||
−0.692684 | + | 0.721241i | \(0.743572\pi\) | |||||||
\(348\) | −515.493 | − | 515.493i | −1.48130 | − | 1.48130i | ||||
\(349\) | 440.470 | − | 440.470i | 1.26209 | − | 1.26209i | 0.312013 | − | 0.950078i | \(-0.398997\pi\) |
0.950078 | − | 0.312013i | \(-0.101003\pi\) | |||||||
\(350\) | −6.88219 | + | 6.88219i | −0.0196634 | + | 0.0196634i | ||||
\(351\) | −33.8994 | −0.0965794 | ||||||||
\(352\) | − | 112.509i | − | 0.319628i | ||||||
\(353\) | −71.0279 | −0.201212 | −0.100606 | − | 0.994926i | \(-0.532078\pi\) | ||||
−0.100606 | + | 0.994926i | \(0.532078\pi\) | |||||||
\(354\) | − | 819.749i | − | 2.31568i | ||||||
\(355\) | 459.200 | 1.29352 | ||||||||
\(356\) | 773.689 | − | 773.689i | 2.17328 | − | 2.17328i | ||||
\(357\) | 94.4078i | 0.264448i | ||||||||
\(358\) | − | 1016.88i | − | 2.84044i | ||||||
\(359\) | −422.963 | + | 422.963i | −1.17817 | + | 1.17817i | −0.197961 | + | 0.980210i | \(0.563432\pi\) |
−0.980210 | + | 0.197961i | \(0.936568\pi\) | |||||||
\(360\) | − | 506.267i | − | 1.40630i | ||||||
\(361\) | −145.115 | −0.401980 | ||||||||
\(362\) | −172.907 | − | 172.907i | −0.477643 | − | 0.477643i | ||||
\(363\) | 253.877 | + | 253.877i | 0.699386 | + | 0.699386i | ||||
\(364\) | −32.6485 | + | 32.6485i | −0.0896937 | + | 0.0896937i | ||||
\(365\) | − | 29.3402i | − | 0.0803842i | ||||||
\(366\) | − | 1586.34i | − | 4.33426i | ||||||
\(367\) | −390.668 | + | 390.668i | −1.06449 | + | 1.06449i | −0.0667195 | + | 0.997772i | \(0.521253\pi\) |
−0.997772 | + | 0.0667195i | \(0.978747\pi\) | |||||||
\(368\) | 29.0910 | 0.0790516 | ||||||||
\(369\) | 1.25176 | 0.00339229 | ||||||||
\(370\) | 386.711i | 1.04516i | ||||||||
\(371\) | − | 26.8948i | − | 0.0724926i | ||||||
\(372\) | −244.705 | −0.657809 | ||||||||
\(373\) | 238.146 | − | 238.146i | 0.638460 | − | 0.638460i | −0.311715 | − | 0.950176i | \(-0.600903\pi\) |
0.950176 | + | 0.311715i | \(0.100903\pi\) | |||||||
\(374\) | −389.528 | + | 389.528i | −1.04152 | + | 1.04152i | ||||
\(375\) | 576.315 | 1.53684 | ||||||||
\(376\) | −475.206 | + | 475.206i | −1.26385 | + | 1.26385i | ||||
\(377\) | 126.471 | − | 126.471i | 0.335467 | − | 0.335467i | ||||
\(378\) | − | 12.0156i | − | 0.0317874i | ||||||
\(379\) | 10.3651 | 0.0273486 | 0.0136743 | − | 0.999907i | \(-0.495647\pi\) | ||||
0.0136743 | + | 0.999907i | \(0.495647\pi\) | |||||||
\(380\) | −534.775 | + | 534.775i | −1.40730 | + | 1.40730i | ||||
\(381\) | 264.577 | + | 264.577i | 0.694427 | + | 0.694427i | ||||
\(382\) | 431.066 | − | 431.066i | 1.12844 | − | 1.12844i | ||||
\(383\) | −82.7429 | − | 82.7429i | −0.216039 | − | 0.216039i | 0.590788 | − | 0.806827i | \(-0.298817\pi\) |
−0.806827 | + | 0.590788i | \(0.798817\pi\) | |||||||
\(384\) | 1018.99 | 2.65362 | ||||||||
\(385\) | 23.6090 | 0.0613222 | ||||||||
\(386\) | −668.367 | + | 668.367i | −1.73152 | + | 1.73152i | ||||
\(387\) | −480.230 | −1.24090 | ||||||||
\(388\) | 88.8942 | 0.229109 | ||||||||
\(389\) | −418.355 | − | 418.355i | −1.07546 | − | 1.07546i | −0.996910 | − | 0.0785540i | \(-0.974970\pi\) |
−0.0785540 | − | 0.996910i | \(-0.525030\pi\) | |||||||
\(390\) | 525.816 | 1.34825 | ||||||||
\(391\) | 71.2049 | + | 71.2049i | 0.182110 | + | 0.182110i | ||||
\(392\) | 373.370 | + | 373.370i | 0.952476 | + | 0.952476i | ||||
\(393\) | 540.915i | 1.37637i | ||||||||
\(394\) | 515.023 | + | 414.253i | 1.30717 | + | 1.05140i | ||||
\(395\) | 283.191 | 0.716938 | ||||||||
\(396\) | 319.006 | − | 319.006i | 0.805570 | − | 0.805570i | ||||
\(397\) | −149.873 | + | 149.873i | −0.377513 | + | 0.377513i | −0.870204 | − | 0.492691i | \(-0.836013\pi\) |
0.492691 | + | 0.870204i | \(0.336013\pi\) | |||||||
\(398\) | − | 113.180i | − | 0.284372i | ||||||
\(399\) | −56.8539 | + | 56.8539i | −0.142491 | + | 0.142491i | ||||
\(400\) | − | 27.0009i | − | 0.0675023i | ||||||
\(401\) | 375.045i | 0.935275i | 0.883920 | + | 0.467638i | \(0.154895\pi\) | ||||
−0.883920 | + | 0.467638i | \(0.845105\pi\) | |||||||
\(402\) | 1004.46 | + | 1004.46i | 2.49865 | + | 2.49865i | ||||
\(403\) | − | 60.0359i | − | 0.148973i | ||||||
\(404\) | 229.573i | 0.568249i | ||||||||
\(405\) | 232.508 | − | 232.508i | 0.574093 | − | 0.574093i | ||||
\(406\) | 44.8277 | + | 44.8277i | 0.110413 | + | 0.110413i | ||||
\(407\) | −109.353 | + | 109.353i | −0.268681 | + | 0.268681i | ||||
\(408\) | −889.611 | − | 889.611i | −2.18042 | − | 2.18042i | ||||
\(409\) | 380.685i | 0.930771i | 0.885108 | + | 0.465385i | \(0.154084\pi\) | ||||
−0.885108 | + | 0.465385i | \(0.845916\pi\) | |||||||
\(410\) | −1.94520 | −0.00474440 | ||||||||
\(411\) | 200.778 | + | 200.778i | 0.488510 | + | 0.488510i | ||||
\(412\) | 311.696 | + | 311.696i | 0.756545 | + | 0.756545i | ||||
\(413\) | 45.9546i | 0.111270i | ||||||||
\(414\) | −90.4576 | − | 90.4576i | −0.218497 | − | 0.218497i | ||||
\(415\) | 190.477 | + | 190.477i | 0.458980 | + | 0.458980i | ||||
\(416\) | 140.472i | 0.337674i | ||||||||
\(417\) | 660.501 | 1.58393 | ||||||||
\(418\) | −469.161 | −1.12239 | ||||||||
\(419\) | 164.676i | 0.393022i | 0.980502 | + | 0.196511i | \(0.0629611\pi\) | ||||
−0.980502 | + | 0.196511i | \(0.937039\pi\) | |||||||
\(420\) | 120.147i | 0.286064i | ||||||||
\(421\) | −252.148 | − | 252.148i | −0.598927 | − | 0.598927i | 0.341100 | − | 0.940027i | \(-0.389201\pi\) |
−0.940027 | + | 0.341100i | \(0.889201\pi\) | |||||||
\(422\) | 524.566 | 1.24305 | ||||||||
\(423\) | 615.217 | 1.45441 | ||||||||
\(424\) | 253.431 | + | 253.431i | 0.597715 | + | 0.597715i | ||||
\(425\) | 66.0892 | − | 66.0892i | 0.155504 | − | 0.155504i | ||||
\(426\) | −1025.08 | + | 1025.08i | −2.40629 | + | 2.40629i | ||||
\(427\) | 88.9291i | 0.208265i | ||||||||
\(428\) | 846.995 | 1.97896 | ||||||||
\(429\) | 148.689 | + | 148.689i | 0.346594 | + | 0.346594i | ||||
\(430\) | 746.268 | 1.73551 | ||||||||
\(431\) | −362.646 | −0.841406 | −0.420703 | − | 0.907198i | \(-0.638217\pi\) | ||||
−0.420703 | + | 0.907198i | \(0.638217\pi\) | |||||||
\(432\) | 23.5705 | + | 23.5705i | 0.0545613 | + | 0.0545613i | ||||
\(433\) | − | 338.525i | − | 0.781812i | −0.920431 | − | 0.390906i | \(-0.872162\pi\) | ||
0.920431 | − | 0.390906i | \(-0.127838\pi\) | |||||||
\(434\) | 21.2797 | 0.0490316 | ||||||||
\(435\) | − | 465.416i | − | 1.06992i | ||||||
\(436\) | −352.575 | −0.808659 | ||||||||
\(437\) | 85.7616i | 0.196251i | ||||||||
\(438\) | 65.4966 | + | 65.4966i | 0.149536 | + | 0.149536i | ||||
\(439\) | −278.041 | − | 278.041i | −0.633352 | − | 0.633352i | 0.315555 | − | 0.948907i | \(-0.397809\pi\) |
−0.948907 | + | 0.315555i | \(0.897809\pi\) | |||||||
\(440\) | −222.470 | + | 222.470i | −0.505613 | + | 0.505613i | ||||
\(441\) | − | 483.377i | − | 1.09609i | ||||||
\(442\) | 486.343 | − | 486.343i | 1.10032 | − | 1.10032i | ||||
\(443\) | 433.756 | 0.979133 | 0.489567 | − | 0.871966i | \(-0.337155\pi\) | ||||
0.489567 | + | 0.871966i | \(0.337155\pi\) | |||||||
\(444\) | −556.501 | − | 556.501i | −1.25338 | − | 1.25338i | ||||
\(445\) | 698.530 | 1.56973 | ||||||||
\(446\) | 175.106 | + | 175.106i | 0.392614 | + | 0.392614i | ||||
\(447\) | −879.746 | −1.96811 | ||||||||
\(448\) | −74.8170 | −0.167002 | ||||||||
\(449\) | − | 670.200i | − | 1.49265i | −0.665581 | − | 0.746326i | \(-0.731816\pi\) | ||
0.665581 | − | 0.746326i | \(-0.268184\pi\) | |||||||
\(450\) | −83.9586 | + | 83.9586i | −0.186575 | + | 0.186575i | ||||
\(451\) | −0.550060 | − | 0.550060i | −0.00121965 | − | 0.00121965i | ||||
\(452\) | −887.799 | + | 887.799i | −1.96416 | + | 1.96416i | ||||
\(453\) | 886.752 | 1.95751 | ||||||||
\(454\) | 220.358 | 0.485371 | ||||||||
\(455\) | −29.4769 | −0.0647844 | ||||||||
\(456\) | − | 1071.48i | − | 2.34973i | ||||||
\(457\) | −331.169 | −0.724658 | −0.362329 | − | 0.932050i | \(-0.618018\pi\) | ||||
−0.362329 | + | 0.932050i | \(0.618018\pi\) | |||||||
\(458\) | − | 523.487i | − | 1.14298i | ||||||
\(459\) | 115.385i | 0.251384i | ||||||||
\(460\) | 90.6181 | + | 90.6181i | 0.196996 | + | 0.196996i | ||||
\(461\) | 26.1842 | − | 26.1842i | 0.0567987 | − | 0.0567987i | −0.678137 | − | 0.734936i | \(-0.737212\pi\) |
0.734936 | + | 0.678137i | \(0.237212\pi\) | |||||||
\(462\) | −52.7028 | + | 52.7028i | −0.114075 | + | 0.114075i | ||||
\(463\) | −157.939 | + | 157.939i | −0.341120 | + | 0.341120i | −0.856788 | − | 0.515668i | \(-0.827544\pi\) |
0.515668 | + | 0.856788i | \(0.327544\pi\) | |||||||
\(464\) | −175.873 | −0.379036 | ||||||||
\(465\) | −110.467 | − | 110.467i | −0.237563 | − | 0.237563i | ||||
\(466\) | −777.787 | + | 777.787i | −1.66907 | + | 1.66907i | ||||
\(467\) | 209.253 | − | 209.253i | 0.448080 | − | 0.448080i | −0.446636 | − | 0.894716i | \(-0.647378\pi\) |
0.894716 | + | 0.446636i | \(0.147378\pi\) | |||||||
\(468\) | −398.292 | + | 398.292i | −0.851052 | + | 0.851052i | ||||
\(469\) | −56.3092 | − | 56.3092i | −0.120062 | − | 0.120062i | ||||
\(470\) | −956.036 | −2.03412 | ||||||||
\(471\) | −904.098 | − | 904.098i | −1.91953 | − | 1.91953i | ||||
\(472\) | −433.033 | − | 433.033i | −0.917444 | − | 0.917444i | ||||
\(473\) | 211.028 | + | 211.028i | 0.446148 | + | 0.446148i | ||||
\(474\) | −632.170 | + | 632.170i | −1.33369 | + | 1.33369i | ||||
\(475\) | 79.6000 | 0.167579 | ||||||||
\(476\) | 111.128 | + | 111.128i | 0.233461 | + | 0.233461i | ||||
\(477\) | − | 328.100i | − | 0.687841i | ||||||
\(478\) | 122.411 | − | 122.411i | 0.256091 | − | 0.256091i | ||||
\(479\) | −56.8562 | −0.118698 | −0.0593489 | − | 0.998237i | \(-0.518902\pi\) | ||||
−0.0593489 | + | 0.998237i | \(0.518902\pi\) | |||||||
\(480\) | 258.470 | + | 258.470i | 0.538480 | + | 0.538480i | ||||
\(481\) | 136.532 | − | 136.532i | 0.283850 | − | 0.283850i | ||||
\(482\) | −1397.76 | −2.89991 | ||||||||
\(483\) | 9.63395 | + | 9.63395i | 0.0199461 | + | 0.0199461i | ||||
\(484\) | 597.678 | 1.23487 | ||||||||
\(485\) | 40.1293 | + | 40.1293i | 0.0827409 | + | 0.0827409i | ||||
\(486\) | 1169.96i | 2.40732i | ||||||||
\(487\) | − | 358.291i | − | 0.735710i | −0.929883 | − | 0.367855i | \(-0.880092\pi\) | ||
0.929883 | − | 0.367855i | \(-0.119908\pi\) | |||||||
\(488\) | −837.985 | − | 837.985i | −1.71718 | − | 1.71718i | ||||
\(489\) | 263.242 | + | 263.242i | 0.538327 | + | 0.538327i | ||||
\(490\) | 751.159i | 1.53298i | ||||||||
\(491\) | 248.740i | 0.506599i | 0.967388 | + | 0.253299i | \(0.0815157\pi\) | ||||
−0.967388 | + | 0.253299i | \(0.918484\pi\) | |||||||
\(492\) | 2.79927 | − | 2.79927i | 0.00568957 | − | 0.00568957i | ||||
\(493\) | −430.477 | − | 430.477i | −0.873178 | − | 0.873178i | ||||
\(494\) | 585.767 | 1.18576 | ||||||||
\(495\) | 288.016 | 0.581851 | ||||||||
\(496\) | −41.7434 | + | 41.7434i | −0.0841601 | + | 0.0841601i | ||||
\(497\) | 57.4653 | − | 57.4653i | 0.115624 | − | 0.115624i | ||||
\(498\) | −850.407 | −1.70764 | ||||||||
\(499\) | −879.371 | −1.76227 | −0.881133 | − | 0.472868i | \(-0.843219\pi\) | ||||
−0.881133 | + | 0.472868i | \(0.843219\pi\) | |||||||
\(500\) | 678.382 | − | 678.382i | 1.35676 | − | 1.35676i | ||||
\(501\) | − | 946.220i | − | 1.88866i | ||||||
\(502\) | −509.621 | + | 509.621i | −1.01518 | + | 1.01518i | ||||
\(503\) | 348.017i | 0.691882i | 0.938256 | + | 0.345941i | \(0.112440\pi\) | ||||
−0.938256 | + | 0.345941i | \(0.887560\pi\) | |||||||
\(504\) | −63.3553 | − | 63.3553i | −0.125705 | − | 0.125705i | ||||
\(505\) | −103.635 | + | 103.635i | −0.205219 | + | 0.205219i | ||||
\(506\) | 79.4998i | 0.157114i | ||||||||
\(507\) | 335.277 | + | 335.277i | 0.661295 | + | 0.661295i | ||||
\(508\) | 622.868 | 1.22612 | ||||||||
\(509\) | 387.459 | − | 387.459i | 0.761216 | − | 0.761216i | −0.215326 | − | 0.976542i | \(-0.569081\pi\) |
0.976542 | + | 0.215326i | \(0.0690814\pi\) | |||||||
\(510\) | − | 1789.75i | − | 3.50931i | ||||||
\(511\) | −3.67170 | − | 3.67170i | −0.00718531 | − | 0.00718531i | ||||
\(512\) | 333.498 | − | 333.498i | 0.651364 | − | 0.651364i | ||||
\(513\) | −69.4869 | + | 69.4869i | −0.135452 | + | 0.135452i | ||||
\(514\) | 920.010 | − | 920.010i | 1.78990 | − | 1.78990i | ||||
\(515\) | 281.417i | 0.546440i | ||||||||
\(516\) | −1073.93 | + | 1073.93i | −2.08125 | + | 2.08125i | ||||
\(517\) | −270.346 | − | 270.346i | −0.522912 | − | 0.522912i | ||||
\(518\) | 48.3937 | + | 48.3937i | 0.0934242 | + | 0.0934242i | ||||
\(519\) | −305.123 | − | 305.123i | −0.587906 | − | 0.587906i | ||||
\(520\) | 277.763 | − | 277.763i | 0.534159 | − | 0.534159i | ||||
\(521\) | 615.109i | 1.18063i | 0.807172 | + | 0.590316i | \(0.200997\pi\) | ||||
−0.807172 | + | 0.590316i | \(0.799003\pi\) | |||||||
\(522\) | 546.871 | + | 546.871i | 1.04765 | + | 1.04765i | ||||
\(523\) | −102.223 | − | 102.223i | −0.195456 | − | 0.195456i | 0.602593 | − | 0.798049i | \(-0.294134\pi\) |
−0.798049 | + | 0.602593i | \(0.794134\pi\) | |||||||
\(524\) | 636.712 | + | 636.712i | 1.21510 | + | 1.21510i | ||||
\(525\) | 8.94179 | − | 8.94179i | 0.0170320 | − | 0.0170320i | ||||
\(526\) | −110.349 | −0.209788 | ||||||||
\(527\) | −204.348 | −0.387756 | ||||||||
\(528\) | − | 206.769i | − | 0.391608i | ||||||
\(529\) | −514.468 | −0.972529 | ||||||||
\(530\) | 509.861i | 0.962002i | ||||||||
\(531\) | 560.619i | 1.05578i | ||||||||
\(532\) | 133.846i | 0.251590i | ||||||||
\(533\) | 0.686773 | + | 0.686773i | 0.00128851 | + | 0.00128851i | ||||
\(534\) | −1559.34 | + | 1559.34i | −2.92011 | + | 2.92011i | ||||
\(535\) | 382.357 | + | 382.357i | 0.714687 | + | 0.714687i | ||||
\(536\) | 1061.21 | 1.97987 | ||||||||
\(537\) | 1321.19i | 2.46032i | ||||||||
\(538\) | 693.355i | 1.28876i | ||||||||
\(539\) | −212.411 | + | 212.411i | −0.394084 | + | 0.394084i | ||||
\(540\) | 146.844i | 0.271933i | ||||||||
\(541\) | −367.831 | + | 367.831i | −0.679910 | + | 0.679910i | −0.959980 | − | 0.280070i | \(-0.909642\pi\) |
0.280070 | + | 0.959980i | \(0.409642\pi\) | |||||||
\(542\) | 93.8265i | 0.173112i | ||||||||
\(543\) | 224.652 | + | 224.652i | 0.413724 | + | 0.413724i | ||||
\(544\) | 478.134 | 0.878922 | ||||||||
\(545\) | −159.162 | − | 159.162i | −0.292041 | − | 0.292041i | ||||
\(546\) | 65.8017 | − | 65.8017i | 0.120516 | − | 0.120516i | ||||
\(547\) | −610.470 | + | 610.470i | −1.11603 | + | 1.11603i | −0.123716 | + | 0.992318i | \(0.539481\pi\) |
−0.992318 | + | 0.123716i | \(0.960519\pi\) | |||||||
\(548\) | 472.672 | 0.862539 | ||||||||
\(549\) | 1084.88i | 1.97611i | ||||||||
\(550\) | 73.7880 | 0.134160 | ||||||||
\(551\) | − | 518.481i | − | 0.940982i | ||||||
\(552\) | −181.563 | −0.328918 | ||||||||
\(553\) | 35.4390 | − | 35.4390i | 0.0640851 | − | 0.0640851i | ||||
\(554\) | 594.726i | 1.07351i | ||||||||
\(555\) | − | 502.440i | − | 0.905297i | ||||||
\(556\) | 777.477 | − | 777.477i | 1.39834 | − | 1.39834i | ||||
\(557\) | − | 0.989596i | − | 0.00177665i | −1.00000 | 0.000888326i | \(-0.999717\pi\) | |||
1.00000 | 0.000888326i | \(-0.000282763\pi\) | ||||||||
\(558\) | 259.600 | 0.465233 | ||||||||
\(559\) | −263.477 | − | 263.477i | −0.471337 | − | 0.471337i | ||||
\(560\) | 20.4955 | + | 20.4955i | 0.0365991 | + | 0.0365991i | ||||
\(561\) | 506.101 | − | 506.101i | 0.902141 | − | 0.902141i | ||||
\(562\) | 1261.20i | 2.24413i | ||||||||
\(563\) | − | 667.879i | − | 1.18629i | −0.805097 | − | 0.593143i | \(-0.797887\pi\) | ||
0.805097 | − | 0.593143i | \(-0.202113\pi\) | |||||||
\(564\) | 1375.80 | − | 1375.80i | 2.43935 | − | 2.43935i | ||||
\(565\) | −801.555 | −1.41868 | ||||||||
\(566\) | 824.137 | 1.45607 | ||||||||
\(567\) | − | 58.1930i | − | 0.102633i | ||||||
\(568\) | 1083.00i | 1.90669i | ||||||||
\(569\) | −761.118 | −1.33764 | −0.668821 | − | 0.743424i | \(-0.733201\pi\) | ||||
−0.668821 | + | 0.743424i | \(0.733201\pi\) | |||||||
\(570\) | 1077.82 | − | 1077.82i | 1.89091 | − | 1.89091i | ||||
\(571\) | −112.786 | + | 112.786i | −0.197524 | + | 0.197524i | −0.798938 | − | 0.601414i | \(-0.794604\pi\) |
0.601414 | + | 0.798938i | \(0.294604\pi\) | |||||||
\(572\) | 350.044 | 0.611965 | ||||||||
\(573\) | −560.069 | + | 560.069i | −0.977433 | + | 0.977433i | ||||
\(574\) | −0.243427 | + | 0.243427i | −0.000424088 | + | 0.000424088i | ||||
\(575\) | − | 13.4883i | − | 0.0234579i | ||||||
\(576\) | −912.722 | −1.58459 | ||||||||
\(577\) | 196.147 | − | 196.147i | 0.339943 | − | 0.339943i | −0.516403 | − | 0.856346i | \(-0.672729\pi\) |
0.856346 | + | 0.516403i | \(0.172729\pi\) | |||||||
\(578\) | −969.769 | − | 969.769i | −1.67780 | − | 1.67780i | ||||
\(579\) | 868.386 | − | 868.386i | 1.49980 | − | 1.49980i | ||||
\(580\) | −547.842 | − | 547.842i | −0.944554 | − | 0.944554i | ||||
\(581\) | 47.6733 | 0.0820538 | ||||||||
\(582\) | −179.162 | −0.307839 | ||||||||
\(583\) | −144.177 | + | 144.177i | −0.247302 | + | 0.247302i | ||||
\(584\) | 69.1973 | 0.118488 | ||||||||
\(585\) | −359.601 | −0.614702 | ||||||||
\(586\) | 389.293 | + | 389.293i | 0.664323 | + | 0.664323i | ||||
\(587\) | 708.124 | 1.20634 | 0.603172 | − | 0.797611i | \(-0.293903\pi\) | ||||
0.603172 | + | 0.797611i | \(0.293903\pi\) | |||||||
\(588\) | −1080.96 | − | 1080.96i | −1.83838 | − | 1.83838i | ||||
\(589\) | −123.062 | − | 123.062i | −0.208933 | − | 0.208933i | ||||
\(590\) | − | 871.191i | − | 1.47659i | ||||||
\(591\) | −669.152 | − | 538.225i | −1.13224 | − | 0.910702i | ||||
\(592\) | −189.863 | −0.320715 | ||||||||
\(593\) | −76.1146 | + | 76.1146i | −0.128355 | + | 0.128355i | −0.768366 | − | 0.640011i | \(-0.778930\pi\) |
0.640011 | + | 0.768366i | \(0.278930\pi\) | |||||||
\(594\) | −64.4133 | + | 64.4133i | −0.108440 | + | 0.108440i | ||||
\(595\) | 100.332i | 0.168625i | ||||||||
\(596\) | −1035.55 | + | 1035.55i | −1.73750 | + | 1.73750i | ||||
\(597\) | 147.051i | 0.246316i | ||||||||
\(598\) | − | 99.2588i | − | 0.165985i | ||||||
\(599\) | 252.210 | + | 252.210i | 0.421052 | + | 0.421052i | 0.885566 | − | 0.464514i | \(-0.153771\pi\) |
−0.464514 | + | 0.885566i | \(0.653771\pi\) | |||||||
\(600\) | 168.518i | 0.280864i | ||||||||
\(601\) | 840.803i | 1.39901i | 0.714629 | + | 0.699504i | \(0.246595\pi\) | ||||
−0.714629 | + | 0.699504i | \(0.753405\pi\) | |||||||
\(602\) | 93.3895 | − | 93.3895i | 0.155132 | − | 0.155132i | ||||
\(603\) | −686.939 | − | 686.939i | −1.13920 | − | 1.13920i | ||||
\(604\) | 1043.80 | − | 1043.80i | 1.72814 | − | 1.72814i | ||||
\(605\) | 269.809 | + | 269.809i | 0.445965 | + | 0.445965i | ||||
\(606\) | − | 462.694i | − | 0.763521i | ||||||
\(607\) | −558.068 | −0.919387 | −0.459693 | − | 0.888078i | \(-0.652041\pi\) | ||||
−0.459693 | + | 0.888078i | \(0.652041\pi\) | |||||||
\(608\) | 287.940 | + | 287.940i | 0.473586 | + | 0.473586i | ||||
\(609\) | −58.2431 | − | 58.2431i | −0.0956372 | − | 0.0956372i | ||||
\(610\) | − | 1685.89i | − | 2.76375i | ||||||
\(611\) | 337.538 | + | 337.538i | 0.552435 | + | 0.552435i | ||||
\(612\) | 1355.69 | + | 1355.69i | 2.21518 | + | 2.21518i | ||||
\(613\) | − | 382.855i | − | 0.624560i | −0.949990 | − | 0.312280i | \(-0.898907\pi\) | ||
0.949990 | − | 0.312280i | \(-0.101093\pi\) | |||||||
\(614\) | 1065.05 | 1.73461 | ||||||||
\(615\) | 2.52734 | 0.00410949 | ||||||||
\(616\) | 55.6806i | 0.0903906i | ||||||||
\(617\) | − | 967.644i | − | 1.56831i | −0.620568 | − | 0.784153i | \(-0.713098\pi\) | ||
0.620568 | − | 0.784153i | \(-0.286902\pi\) | |||||||
\(618\) | −628.211 | − | 628.211i | −1.01652 | − | 1.01652i | ||||
\(619\) | 272.133 | 0.439633 | 0.219816 | − | 0.975541i | \(-0.429454\pi\) | ||||
0.219816 | + | 0.975541i | \(0.429454\pi\) | |||||||
\(620\) | −260.061 | −0.419453 | ||||||||
\(621\) | 11.7746 | + | 11.7746i | 0.0189607 | + | 0.0189607i | ||||
\(622\) | −728.033 | + | 728.033i | −1.17047 | + | 1.17047i | ||||
\(623\) | 87.4154 | − | 87.4154i | 0.140314 | − | 0.140314i | ||||
\(624\) | 258.160i | 0.413718i | ||||||||
\(625\) | 524.025 | 0.838439 | ||||||||
\(626\) | 723.401 | + | 723.401i | 1.15559 | + | 1.15559i | ||||
\(627\) | 609.565 | 0.972193 | ||||||||
\(628\) | −2128.43 | −3.38922 | ||||||||
\(629\) | −464.721 | − | 464.721i | −0.738826 | − | 0.738826i | ||||
\(630\) | − | 127.460i | − | 0.202318i | ||||||
\(631\) | 1029.69 | 1.63184 | 0.815920 | − | 0.578165i | \(-0.196231\pi\) | ||||
0.815920 | + | 0.578165i | \(0.196231\pi\) | |||||||
\(632\) | 667.889i | 1.05679i | ||||||||
\(633\) | −681.551 | −1.07670 | ||||||||
\(634\) | 1986.95i | 3.13398i | ||||||||
\(635\) | 281.180 | + | 281.180i | 0.442803 | + | 0.442803i | ||||
\(636\) | −733.722 | − | 733.722i | −1.15365 | − | 1.15365i | ||||
\(637\) | 265.204 | − | 265.204i | 0.416333 | − | 0.416333i | ||||
\(638\) | − | 480.624i | − | 0.753329i | ||||||
\(639\) | 701.042 | − | 701.042i | 1.09709 | − | 1.09709i | ||||
\(640\) | 1082.94 | 1.69209 | ||||||||
\(641\) | −45.9001 | − | 45.9001i | −0.0716070 | − | 0.0716070i | 0.670396 | − | 0.742003i | \(-0.266124\pi\) |
−0.742003 | + | 0.670396i | \(0.766124\pi\) | |||||||
\(642\) | −1707.08 | −2.65901 | ||||||||
\(643\) | −286.890 | − | 286.890i | −0.446174 | − | 0.446174i | 0.447906 | − | 0.894080i | \(-0.352170\pi\) |
−0.894080 | + | 0.447906i | \(0.852170\pi\) | |||||||
\(644\) | 22.6803 | 0.0352178 | ||||||||
\(645\) | −969.600 | −1.50326 | ||||||||
\(646\) | − | 1993.81i | − | 3.08639i | ||||||
\(647\) | 733.363 | − | 733.363i | 1.13348 | − | 1.13348i | 0.143888 | − | 0.989594i | \(-0.454040\pi\) |
0.989594 | − | 0.143888i | \(-0.0459604\pi\) | |||||||
\(648\) | 548.356 | + | 548.356i | 0.846229 | + | 0.846229i | ||||
\(649\) | 246.353 | − | 246.353i | 0.379589 | − | 0.379589i | ||||
\(650\) | −92.1275 | −0.141735 | ||||||||
\(651\) | −27.6480 | −0.0424701 | ||||||||
\(652\) | 619.725 | 0.950498 | ||||||||
\(653\) | 987.389i | 1.51208i | 0.654524 | + | 0.756041i | \(0.272869\pi\) | ||||
−0.654524 | + | 0.756041i | \(0.727131\pi\) | |||||||
\(654\) | 710.601 | 1.08655 | ||||||||
\(655\) | 574.859i | 0.877648i | ||||||||
\(656\) | − | 0.955037i | − | 0.00145585i | ||||||
\(657\) | −44.7925 | − | 44.7925i | −0.0681773 | − | 0.0681773i | ||||
\(658\) | −119.640 | + | 119.640i | −0.181824 | + | 0.181824i | ||||
\(659\) | −581.166 | + | 581.166i | −0.881891 | + | 0.881891i | −0.993727 | − | 0.111835i | \(-0.964327\pi\) |
0.111835 | + | 0.993727i | \(0.464327\pi\) | |||||||
\(660\) | 644.084 | − | 644.084i | 0.975884 | − | 0.975884i | ||||
\(661\) | −85.2172 | −0.128922 | −0.0644608 | − | 0.997920i | \(-0.520533\pi\) | ||||
−0.0644608 | + | 0.997920i | \(0.520533\pi\) | |||||||
\(662\) | −1096.09 | − | 1096.09i | −1.65573 | − | 1.65573i | ||||
\(663\) | −631.888 | + | 631.888i | −0.953075 | + | 0.953075i | ||||
\(664\) | −449.228 | + | 449.228i | −0.676549 | + | 0.676549i | ||||
\(665\) | −60.4217 | + | 60.4217i | −0.0908597 | + | 0.0908597i | ||||
\(666\) | 590.375 | + | 590.375i | 0.886449 | + | 0.886449i | ||||
\(667\) | −87.8570 | −0.131720 | ||||||||
\(668\) | −1113.80 | − | 1113.80i | −1.66736 | − | 1.66736i | ||||
\(669\) | −227.509 | − | 227.509i | −0.340073 | − | 0.340073i | ||||
\(670\) | 1067.49 | + | 1067.49i | 1.59327 | + | 1.59327i | ||||
\(671\) | 476.731 | − | 476.731i | 0.710478 | − | 0.710478i | ||||
\(672\) | 64.6910 | 0.0962663 | ||||||||
\(673\) | 332.466 | + | 332.466i | 0.494007 | + | 0.494007i | 0.909566 | − | 0.415559i | \(-0.136414\pi\) |
−0.415559 | + | 0.909566i | \(0.636414\pi\) | |||||||
\(674\) | − | 1627.44i | − | 2.41460i | ||||||
\(675\) | 10.9287 | − | 10.9287i | 0.0161906 | − | 0.0161906i | ||||
\(676\) | 789.309 | 1.16762 | ||||||||
\(677\) | −40.8547 | − | 40.8547i | −0.0603466 | − | 0.0603466i | 0.676289 | − | 0.736636i | \(-0.263587\pi\) |
−0.736636 | + | 0.676289i | \(0.763587\pi\) | |||||||
\(678\) | 1789.32 | − | 1789.32i | 2.63912 | − | 2.63912i | ||||
\(679\) | 10.0437 | 0.0147919 | ||||||||
\(680\) | −945.436 | − | 945.436i | −1.39035 | − | 1.39035i | ||||
\(681\) | −286.304 | −0.420417 | ||||||||
\(682\) | −114.076 | − | 114.076i | −0.167267 | − | 0.167267i | ||||
\(683\) | 594.885i | 0.870989i | 0.900191 | + | 0.435494i | \(0.143426\pi\) | ||||
−0.900191 | + | 0.435494i | \(0.856574\pi\) | |||||||
\(684\) | 1632.84i | 2.38719i | ||||||||
\(685\) | 213.377 | + | 213.377i | 0.311499 | + | 0.311499i | ||||
\(686\) | 189.311 | + | 189.311i | 0.275963 | + | 0.275963i | ||||
\(687\) | 680.148i | 0.990027i | ||||||||
\(688\) | 366.395i | 0.532551i | ||||||||
\(689\) | 180.011 | − | 180.011i | 0.261265 | − | 0.261265i | ||||
\(690\) | −182.637 | − | 182.637i | −0.264691 | − | 0.264691i | ||||
\(691\) | 436.690 | 0.631969 | 0.315984 | − | 0.948764i | \(-0.397665\pi\) | ||||
0.315984 | + | 0.948764i | \(0.397665\pi\) | |||||||
\(692\) | −718.322 | −1.03804 | ||||||||
\(693\) | 36.0429 | − | 36.0429i | 0.0520100 | − | 0.0520100i | ||||
\(694\) | 1140.47 | − | 1140.47i | 1.64332 | − | 1.64332i | ||||
\(695\) | 701.949 | 1.01000 | ||||||||
\(696\) | 1097.66 | 1.57709 | ||||||||
\(697\) | 2.33761 | − | 2.33761i | 0.00335381 | − | 0.00335381i | ||||
\(698\) | 2089.94i | 2.99418i | ||||||||
\(699\) | 1010.55 | − | 1010.55i | 1.44571 | − | 1.44571i | ||||
\(700\) | − | 21.0508i | − | 0.0300726i | ||||||
\(701\) | −728.508 | − | 728.508i | −1.03924 | − | 1.03924i | −0.999198 | − | 0.0400426i | \(-0.987251\pi\) |
−0.0400426 | − | 0.999198i | \(-0.512749\pi\) | |||||||
\(702\) | 80.4228 | − | 80.4228i | 0.114562 | − | 0.114562i | ||||
\(703\) | − | 559.726i | − | 0.796197i | ||||||
\(704\) | 401.078 | + | 401.078i | 0.569714 | + | 0.569714i | ||||
\(705\) | 1242.14 | 1.76191 | ||||||||
\(706\) | 168.506 | − | 168.506i | 0.238678 | − | 0.238678i | ||||
\(707\) | 25.9383i | 0.0366878i | ||||||||
\(708\) | 1253.70 | + | 1253.70i | 1.77076 | + | 1.77076i | ||||
\(709\) | 109.500 | − | 109.500i | 0.154443 | − | 0.154443i | −0.625656 | − | 0.780099i | \(-0.715169\pi\) |
0.780099 | + | 0.625656i | \(0.215169\pi\) | |||||||
\(710\) | −1089.41 | + | 1089.41i | −1.53437 | + | 1.53437i | ||||
\(711\) | 432.335 | − | 432.335i | 0.608066 | − | 0.608066i | ||||
\(712\) | 1647.44i | 2.31382i | ||||||||
\(713\) | −20.8529 | + | 20.8529i | −0.0292467 | + | 0.0292467i | ||||
\(714\) | −223.973 | − | 223.973i | −0.313687 | − | 0.313687i | ||||
\(715\) | 158.020 | + | 158.020i | 0.221006 | + | 0.221006i | ||||
\(716\) | 1555.18 | + | 1555.18i | 2.17204 | + | 2.17204i | ||||
\(717\) | −159.045 | + | 159.045i | −0.221820 | + | 0.221820i | ||||
\(718\) | − | 2006.87i | − | 2.79509i | ||||||
\(719\) | −303.903 | − | 303.903i | −0.422675 | − | 0.422675i | 0.463449 | − | 0.886124i | \(-0.346612\pi\) |
−0.886124 | + | 0.463449i | \(0.846612\pi\) | |||||||
\(720\) | 250.033 | + | 250.033i | 0.347268 | + | 0.347268i | ||||
\(721\) | 35.2171 | + | 35.2171i | 0.0488448 | + | 0.0488448i | ||||
\(722\) | 344.270 | − | 344.270i | 0.476828 | − | 0.476828i | ||||
\(723\) | 1816.06 | 2.51184 | ||||||||
\(724\) | 528.876 | 0.730492 | ||||||||
\(725\) | 81.5449i | 0.112476i | ||||||||
\(726\) | −1204.59 | −1.65922 | ||||||||
\(727\) | 534.752i | 0.735560i | 0.929913 | + | 0.367780i | \(0.119882\pi\) | ||||
−0.929913 | + | 0.367780i | \(0.880118\pi\) | |||||||
\(728\) | − | 69.5196i | − | 0.0954939i | ||||||
\(729\) | − | 881.290i | − | 1.20890i | ||||||
\(730\) | 69.6067 | + | 69.6067i | 0.0953516 | + | 0.0953516i | ||||
\(731\) | −896.812 | + | 896.812i | −1.22683 | + | 1.22683i | ||||
\(732\) | 2426.09 | + | 2426.09i | 3.31434 | + | 3.31434i | ||||
\(733\) | 240.128 | 0.327596 | 0.163798 | − | 0.986494i | \(-0.447625\pi\) | ||||
0.163798 | + | 0.986494i | \(0.447625\pi\) | |||||||
\(734\) | − | 1853.64i | − | 2.52540i | ||||||
\(735\) | − | 975.955i | − | 1.32783i | ||||||
\(736\) | 48.7917 | − | 48.7917i | 0.0662931 | − | 0.0662931i | ||||
\(737\) | 603.724i | 0.819165i | ||||||||
\(738\) | −2.96966 | + | 2.96966i | −0.00402393 | + | 0.00402393i | ||||
\(739\) | − | 627.696i | − | 0.849386i | −0.905337 | − | 0.424693i | \(-0.860382\pi\) | ||
0.905337 | − | 0.424693i | \(-0.139618\pi\) | |||||||
\(740\) | −591.423 | − | 591.423i | −0.799220 | − | 0.799220i | ||||
\(741\) | −761.068 | −1.02708 | ||||||||
\(742\) | 63.8050 | + | 63.8050i | 0.0859906 | + | 0.0859906i | ||||
\(743\) | 40.1016 | − | 40.1016i | 0.0539725 | − | 0.0539725i | −0.679605 | − | 0.733578i | \(-0.737849\pi\) |
0.733578 | + | 0.679605i | \(0.237849\pi\) | |||||||
\(744\) | 260.529 | − | 260.529i | 0.350174 | − | 0.350174i | ||||
\(745\) | −934.952 | −1.25497 | ||||||||
\(746\) | 1129.95i | 1.51468i | ||||||||
\(747\) | 581.585 | 0.778562 | ||||||||
\(748\) | − | 1191.46i | − | 1.59287i | ||||||
\(749\) | 95.6979 | 0.127768 | ||||||||
\(750\) | −1367.25 | + | 1367.25i | −1.82300 | + | 1.82300i | ||||
\(751\) | − | 496.092i | − | 0.660576i | −0.943880 | − | 0.330288i | \(-0.892854\pi\) | ||
0.943880 | − | 0.330288i | \(-0.107146\pi\) | |||||||
\(752\) | − | 469.385i | − | 0.624182i | ||||||
\(753\) | 662.134 | − | 662.134i | 0.879328 | − | 0.879328i | ||||
\(754\) | 600.080i | 0.795862i | ||||||||
\(755\) | 942.398 | 1.24821 | ||||||||
\(756\) | 18.3763 | + | 18.3763i | 0.0243073 | + | 0.0243073i | ||||
\(757\) | −182.576 | − | 182.576i | −0.241184 | − | 0.241184i | 0.576156 | − | 0.817340i | \(-0.304552\pi\) |
−0.817340 | + | 0.576156i | \(0.804552\pi\) | |||||||
\(758\) | −24.5902 | + | 24.5902i | −0.0324409 | + | 0.0324409i | ||||
\(759\) | − | 103.291i | − | 0.136089i | ||||||
\(760\) | − | 1138.72i | − | 1.49831i | ||||||
\(761\) | −596.944 | + | 596.944i | −0.784421 | + | 0.784421i | −0.980573 | − | 0.196153i | \(-0.937155\pi\) |
0.196153 | + | 0.980573i | \(0.437155\pi\) | |||||||
\(762\) | −1255.36 | −1.64746 | ||||||||
\(763\) | −39.8358 | −0.0522094 | ||||||||
\(764\) | 1318.52i | 1.72581i | ||||||||
\(765\) | 1223.99i | 1.59999i | ||||||||
\(766\) | 392.598 | 0.512530 | ||||||||
\(767\) | −307.583 | + | 307.583i | −0.401020 | + | 0.401020i | ||||
\(768\) | −1292.34 | + | 1292.34i | −1.68274 | + | 1.68274i | ||||
\(769\) | −349.377 | −0.454327 | −0.227164 | − | 0.973857i | \(-0.572945\pi\) | ||||
−0.227164 | + | 0.973857i | \(0.572945\pi\) | |||||||
\(770\) | −56.0100 | + | 56.0100i | −0.0727403 | + | 0.0727403i | ||||
\(771\) | −1195.34 | + | 1195.34i | −1.55037 | + | 1.55037i | ||||
\(772\) | − | 2044.36i | − | 2.64813i | ||||||
\(773\) | −1025.15 | −1.32620 | −0.663101 | − | 0.748530i | \(-0.730760\pi\) | ||||
−0.663101 | + | 0.748530i | \(0.730760\pi\) | |||||||
\(774\) | 1139.30 | − | 1139.30i | 1.47196 | − | 1.47196i | ||||
\(775\) | 19.3547 | + | 19.3547i | 0.0249738 | + | 0.0249738i |