Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [810,4,Mod(271,810)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(810, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("810.271");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 810 = 2 \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 810.e (of order \(3\), degree \(2\), not 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: | \(47.7915471046\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 30) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 810.271 |
Dual form | 810.4.e.i.541.1 |
$q$-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 \(\left(\mathbb{Z}/810\mathbb{Z}\right)^\times\).
\(n\) | \(487\) | \(731\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | − | 1.73205i | −0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.00000 | + | 3.46410i | −0.250000 | + | 0.433013i | ||||
\(5\) | 2.50000 | − | 4.33013i | 0.223607 | − | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.00000 | + | 3.46410i | 0.107990 | + | 0.187044i | 0.914956 | − | 0.403554i | \(-0.132225\pi\) |
−0.806966 | + | 0.590598i | \(0.798892\pi\) | |||||||
\(8\) | 8.00000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −10.0000 | −0.316228 | ||||||||
\(11\) | 24.0000 | + | 41.5692i | 0.657843 | + | 1.13942i | 0.981173 | + | 0.193131i | \(0.0618643\pi\) |
−0.323330 | + | 0.946286i | \(0.604802\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.00000 | + | 1.73205i | −0.0213346 | + | 0.0369527i | −0.876496 | − | 0.481410i | \(-0.840125\pi\) |
0.855161 | + | 0.518363i | \(0.173458\pi\) | |||||||
\(14\) | 4.00000 | − | 6.92820i | 0.0763604 | − | 0.132260i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −8.00000 | − | 13.8564i | −0.125000 | − | 0.216506i | ||||
\(17\) | −114.000 | −1.62642 | −0.813208 | − | 0.581974i | \(-0.802281\pi\) | ||||
−0.813208 | + | 0.581974i | \(0.802281\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 140.000 | 1.69043 | 0.845216 | − | 0.534425i | \(-0.179472\pi\) | ||||
0.845216 | + | 0.534425i | \(0.179472\pi\) | |||||||
\(20\) | 10.0000 | + | 17.3205i | 0.111803 | + | 0.193649i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 48.0000 | − | 83.1384i | 0.465165 | − | 0.805690i | ||||
\(23\) | −36.0000 | + | 62.3538i | −0.326370 | + | 0.565290i | −0.981789 | − | 0.189976i | \(-0.939159\pi\) |
0.655418 | + | 0.755266i | \(0.272492\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −12.5000 | − | 21.6506i | −0.100000 | − | 0.173205i | ||||
\(26\) | 4.00000 | 0.0301717 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −16.0000 | −0.107990 | ||||||||
\(29\) | −105.000 | − | 181.865i | −0.672345 | − | 1.16454i | −0.977237 | − | 0.212149i | \(-0.931954\pi\) |
0.304892 | − | 0.952387i | \(-0.401380\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −136.000 | + | 235.559i | −0.787946 | + | 1.36476i | 0.139278 | + | 0.990253i | \(0.455522\pi\) |
−0.927223 | + | 0.374509i | \(0.877811\pi\) | |||||||
\(32\) | −16.0000 | + | 27.7128i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 114.000 | + | 197.454i | 0.575025 | + | 0.995972i | ||||
\(35\) | 20.0000 | 0.0965891 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −334.000 | −1.48403 | −0.742017 | − | 0.670381i | \(-0.766131\pi\) | ||||
−0.742017 | + | 0.670381i | \(0.766131\pi\) | |||||||
\(38\) | −140.000 | − | 242.487i | −0.597658 | − | 1.03517i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 20.0000 | − | 34.6410i | 0.0790569 | − | 0.136931i | ||||
\(41\) | 99.0000 | − | 171.473i | 0.377102 | − | 0.653161i | −0.613537 | − | 0.789666i | \(-0.710254\pi\) |
0.990639 | + | 0.136505i | \(0.0435871\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 134.000 | + | 232.095i | 0.475228 | + | 0.823119i | 0.999597 | − | 0.0283717i | \(-0.00903221\pi\) |
−0.524369 | + | 0.851491i | \(0.675699\pi\) | |||||||
\(44\) | −192.000 | −0.657843 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 144.000 | 0.461557 | ||||||||
\(47\) | −108.000 | − | 187.061i | −0.335179 | − | 0.580547i | 0.648340 | − | 0.761351i | \(-0.275464\pi\) |
−0.983519 | + | 0.180804i | \(0.942130\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 163.500 | − | 283.190i | 0.476676 | − | 0.825628i | ||||
\(50\) | −25.0000 | + | 43.3013i | −0.0707107 | + | 0.122474i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.00000 | − | 6.92820i | −0.0106673 | − | 0.0184763i | ||||
\(53\) | −78.0000 | −0.202153 | −0.101077 | − | 0.994879i | \(-0.532229\pi\) | ||||
−0.101077 | + | 0.994879i | \(0.532229\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 240.000 | 0.588393 | ||||||||
\(56\) | 16.0000 | + | 27.7128i | 0.0381802 | + | 0.0661300i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −210.000 | + | 363.731i | −0.475420 | + | 0.823451i | ||||
\(59\) | −120.000 | + | 207.846i | −0.264791 | + | 0.458631i | −0.967509 | − | 0.252837i | \(-0.918636\pi\) |
0.702718 | + | 0.711469i | \(0.251970\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −151.000 | − | 261.540i | −0.316944 | − | 0.548963i | 0.662905 | − | 0.748704i | \(-0.269323\pi\) |
−0.979849 | + | 0.199741i | \(0.935990\pi\) | |||||||
\(62\) | 544.000 | 1.11432 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 64.0000 | 0.125000 | ||||||||
\(65\) | 5.00000 | + | 8.66025i | 0.00954113 | + | 0.0165257i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −298.000 | + | 516.151i | −0.543381 | + | 0.941163i | 0.455326 | + | 0.890325i | \(0.349523\pi\) |
−0.998707 | + | 0.0508381i | \(0.983811\pi\) | |||||||
\(68\) | 228.000 | − | 394.908i | 0.406604 | − | 0.704259i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −20.0000 | − | 34.6410i | −0.0341494 | − | 0.0591485i | ||||
\(71\) | −768.000 | −1.28373 | −0.641865 | − | 0.766818i | \(-0.721839\pi\) | ||||
−0.641865 | + | 0.766818i | \(0.721839\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −478.000 | −0.766379 | −0.383190 | − | 0.923670i | \(-0.625174\pi\) | ||||
−0.383190 | + | 0.923670i | \(0.625174\pi\) | |||||||
\(74\) | 334.000 | + | 578.505i | 0.524685 | + | 0.908782i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −280.000 | + | 484.974i | −0.422608 | + | 0.731978i | ||||
\(77\) | −96.0000 | + | 166.277i | −0.142081 | + | 0.246091i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 320.000 | + | 554.256i | 0.455732 | + | 0.789351i | 0.998730 | − | 0.0503832i | \(-0.0160443\pi\) |
−0.542998 | + | 0.839734i | \(0.682711\pi\) | |||||||
\(80\) | −80.0000 | −0.111803 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −396.000 | −0.533303 | ||||||||
\(83\) | 174.000 | + | 301.377i | 0.230108 | + | 0.398559i | 0.957840 | − | 0.287303i | \(-0.0927587\pi\) |
−0.727732 | + | 0.685862i | \(0.759425\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −285.000 | + | 493.634i | −0.363678 | + | 0.629908i | ||||
\(86\) | 268.000 | − | 464.190i | 0.336037 | − | 0.582033i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 192.000 | + | 332.554i | 0.232583 | + | 0.402845i | ||||
\(89\) | 210.000 | 0.250112 | 0.125056 | − | 0.992150i | \(-0.460089\pi\) | ||||
0.125056 | + | 0.992150i | \(0.460089\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −8.00000 | −0.00921569 | ||||||||
\(92\) | −144.000 | − | 249.415i | −0.163185 | − | 0.282645i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −216.000 | + | 374.123i | −0.237007 | + | 0.410509i | ||||
\(95\) | 350.000 | − | 606.218i | 0.377992 | − | 0.654701i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 767.000 | + | 1328.48i | 0.802856 | + | 1.39059i | 0.917729 | + | 0.397207i | \(0.130021\pi\) |
−0.114873 | + | 0.993380i | \(0.536646\pi\) | |||||||
\(98\) | −654.000 | −0.674122 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 100.000 | 0.100000 | ||||||||
\(101\) | −861.000 | − | 1491.30i | −0.848245 | − | 1.46920i | −0.882773 | − | 0.469799i | \(-0.844326\pi\) |
0.0345288 | − | 0.999404i | \(-0.489007\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −526.000 | + | 911.059i | −0.503188 | + | 0.871546i | 0.496806 | + | 0.867862i | \(0.334506\pi\) |
−0.999993 | + | 0.00368461i | \(0.998827\pi\) | |||||||
\(104\) | −8.00000 | + | 13.8564i | −0.00754293 | + | 0.0130647i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 78.0000 | + | 135.100i | 0.0714720 | + | 0.123793i | ||||
\(107\) | −564.000 | −0.509570 | −0.254785 | − | 0.966998i | \(-0.582005\pi\) | ||||
−0.254785 | + | 0.966998i | \(0.582005\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −610.000 | −0.536031 | −0.268016 | − | 0.963415i | \(-0.586368\pi\) | ||||
−0.268016 | + | 0.963415i | \(0.586368\pi\) | |||||||
\(110\) | −240.000 | − | 415.692i | −0.208028 | − | 0.360315i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 32.0000 | − | 55.4256i | 0.0269975 | − | 0.0467610i | ||||
\(113\) | −651.000 | + | 1127.57i | −0.541955 | + | 0.938694i | 0.456837 | + | 0.889551i | \(0.348982\pi\) |
−0.998792 | + | 0.0491432i | \(0.984351\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 180.000 | + | 311.769i | 0.145957 | + | 0.252805i | ||||
\(116\) | 840.000 | 0.672345 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 480.000 | 0.374471 | ||||||||
\(119\) | −228.000 | − | 394.908i | −0.175636 | − | 0.304211i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −486.500 | + | 842.643i | −0.365515 | + | 0.633090i | ||||
\(122\) | −302.000 | + | 523.079i | −0.224113 | + | 0.388175i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −544.000 | − | 942.236i | −0.393973 | − | 0.682381i | ||||
\(125\) | −125.000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −124.000 | −0.0866395 | −0.0433198 | − | 0.999061i | \(-0.513793\pi\) | ||||
−0.0433198 | + | 0.999061i | \(0.513793\pi\) | |||||||
\(128\) | −64.0000 | − | 110.851i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 10.0000 | − | 17.3205i | 0.00674660 | − | 0.0116855i | ||||
\(131\) | −96.0000 | + | 166.277i | −0.0640272 | + | 0.110898i | −0.896262 | − | 0.443525i | \(-0.853728\pi\) |
0.832235 | + | 0.554423i | \(0.187061\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 280.000 | + | 484.974i | 0.182549 | + | 0.316185i | ||||
\(134\) | 1192.00 | 0.768456 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −912.000 | −0.575025 | ||||||||
\(137\) | 1257.00 | + | 2177.19i | 0.783889 | + | 1.35774i | 0.929661 | + | 0.368417i | \(0.120100\pi\) |
−0.145772 | + | 0.989318i | \(0.546567\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −670.000 | + | 1160.47i | −0.408839 | + | 0.708130i | −0.994760 | − | 0.102238i | \(-0.967400\pi\) |
0.585921 | + | 0.810368i | \(0.300733\pi\) | |||||||
\(140\) | −40.0000 | + | 69.2820i | −0.0241473 | + | 0.0418243i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 768.000 | + | 1330.22i | 0.453867 | + | 0.786121i | ||||
\(143\) | −96.0000 | −0.0561393 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1050.00 | −0.601364 | ||||||||
\(146\) | 478.000 | + | 827.920i | 0.270956 | + | 0.469309i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 668.000 | − | 1157.01i | 0.371009 | − | 0.642606i | ||||
\(149\) | −705.000 | + | 1221.10i | −0.387623 | + | 0.671383i | −0.992129 | − | 0.125217i | \(-0.960037\pi\) |
0.604506 | + | 0.796600i | \(0.293370\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1064.00 | + | 1842.90i | 0.573424 | + | 0.993200i | 0.996211 | + | 0.0869709i | \(0.0277187\pi\) |
−0.422786 | + | 0.906229i | \(0.638948\pi\) | |||||||
\(152\) | 1120.00 | 0.597658 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 384.000 | 0.200932 | ||||||||
\(155\) | 680.000 | + | 1177.79i | 0.352380 | + | 0.610340i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1513.00 | + | 2620.59i | −0.769112 | + | 1.33214i | 0.168933 | + | 0.985627i | \(0.445968\pi\) |
−0.938045 | + | 0.346513i | \(0.887366\pi\) | |||||||
\(158\) | 640.000 | − | 1108.51i | 0.322251 | − | 0.558155i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 80.0000 | + | 138.564i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | −288.000 | −0.140979 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2612.00 | 1.25514 | 0.627569 | − | 0.778561i | \(-0.284050\pi\) | ||||
0.627569 | + | 0.778561i | \(0.284050\pi\) | |||||||
\(164\) | 396.000 | + | 685.892i | 0.188551 | + | 0.326580i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 348.000 | − | 602.754i | 0.162711 | − | 0.281824i | ||||
\(167\) | 12.0000 | − | 20.7846i | 0.00556041 | − | 0.00963091i | −0.863232 | − | 0.504808i | \(-0.831563\pi\) |
0.868792 | + | 0.495177i | \(0.164897\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1096.50 | + | 1899.19i | 0.499090 | + | 0.864449i | ||||
\(170\) | 1140.00 | 0.514318 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1072.00 | −0.475228 | ||||||||
\(173\) | −981.000 | − | 1699.14i | −0.431122 | − | 0.746725i | 0.565849 | − | 0.824509i | \(-0.308549\pi\) |
−0.996970 | + | 0.0777846i | \(0.975215\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 50.0000 | − | 86.6025i | 0.0215980 | − | 0.0374088i | ||||
\(176\) | 384.000 | − | 665.108i | 0.164461 | − | 0.284854i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −210.000 | − | 363.731i | −0.0884279 | − | 0.153162i | ||||
\(179\) | −120.000 | −0.0501074 | −0.0250537 | − | 0.999686i | \(-0.507976\pi\) | ||||
−0.0250537 | + | 0.999686i | \(0.507976\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 902.000 | 0.370415 | 0.185208 | − | 0.982699i | \(-0.440704\pi\) | ||||
0.185208 | + | 0.982699i | \(0.440704\pi\) | |||||||
\(182\) | 8.00000 | + | 13.8564i | 0.00325824 | + | 0.00564344i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −288.000 | + | 498.831i | −0.115389 | + | 0.199860i | ||||
\(185\) | −835.000 | + | 1446.26i | −0.331840 | + | 0.574764i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2736.00 | − | 4738.89i | −1.06993 | − | 1.85317i | ||||
\(188\) | 864.000 | 0.335179 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1400.00 | −0.534561 | ||||||||
\(191\) | 84.0000 | + | 145.492i | 0.0318221 | + | 0.0551175i | 0.881498 | − | 0.472188i | \(-0.156536\pi\) |
−0.849676 | + | 0.527306i | \(0.823202\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 659.000 | − | 1141.42i | 0.245782 | − | 0.425706i | −0.716569 | − | 0.697516i | \(-0.754289\pi\) |
0.962351 | + | 0.271809i | \(0.0876220\pi\) | |||||||
\(194\) | 1534.00 | − | 2656.97i | 0.567705 | − | 0.983294i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 654.000 | + | 1132.76i | 0.238338 | + | 0.412814i | ||||
\(197\) | −4014.00 | −1.45170 | −0.725852 | − | 0.687851i | \(-0.758554\pi\) | ||||
−0.725852 | + | 0.687851i | \(0.758554\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2000.00 | 0.712443 | 0.356222 | − | 0.934401i | \(-0.384065\pi\) | ||||
0.356222 | + | 0.934401i | \(0.384065\pi\) | |||||||
\(200\) | −100.000 | − | 173.205i | −0.0353553 | − | 0.0612372i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1722.00 | + | 2982.59i | −0.599799 | + | 1.03888i | ||||
\(203\) | 420.000 | − | 727.461i | 0.145213 | − | 0.251516i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −495.000 | − | 857.365i | −0.168645 | − | 0.292102i | ||||
\(206\) | 2104.00 | 0.711615 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 32.0000 | 0.0106673 | ||||||||
\(209\) | 3360.00 | + | 5819.69i | 1.11204 | + | 1.92611i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1934.00 | − | 3349.79i | 0.631005 | − | 1.09293i | −0.356342 | − | 0.934356i | \(-0.615976\pi\) |
0.987347 | − | 0.158577i | \(-0.0506906\pi\) | |||||||
\(212\) | 156.000 | − | 270.200i | 0.0505383 | − | 0.0875349i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 564.000 | + | 976.877i | 0.180160 | + | 0.312046i | ||||
\(215\) | 1340.00 | 0.425057 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1088.00 | −0.340361 | ||||||||
\(218\) | 610.000 | + | 1056.55i | 0.189516 | + | 0.328251i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −480.000 | + | 831.384i | −0.147098 | + | 0.254781i | ||||
\(221\) | 114.000 | − | 197.454i | 0.0346990 | − | 0.0601004i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1574.00 | + | 2726.25i | 0.472658 | + | 0.818668i | 0.999510 | − | 0.0312886i | \(-0.00996110\pi\) |
−0.526852 | + | 0.849957i | \(0.676628\pi\) | |||||||
\(224\) | −128.000 | −0.0381802 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2604.00 | 0.766440 | ||||||||
\(227\) | −1278.00 | − | 2213.56i | −0.373673 | − | 0.647221i | 0.616454 | − | 0.787391i | \(-0.288569\pi\) |
−0.990128 | + | 0.140170i | \(0.955235\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 305.000 | − | 528.275i | 0.0880130 | − | 0.152443i | −0.818658 | − | 0.574281i | \(-0.805282\pi\) |
0.906671 | + | 0.421838i | \(0.138615\pi\) | |||||||
\(230\) | 360.000 | − | 623.538i | 0.103207 | − | 0.178760i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −840.000 | − | 1454.92i | −0.237710 | − | 0.411726i | ||||
\(233\) | −2058.00 | −0.578644 | −0.289322 | − | 0.957232i | \(-0.593430\pi\) | ||||
−0.289322 | + | 0.957232i | \(0.593430\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1080.00 | −0.299793 | ||||||||
\(236\) | −480.000 | − | 831.384i | −0.132396 | − | 0.229316i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −456.000 | + | 789.815i | −0.124194 | + | 0.215110i | ||||
\(239\) | −2460.00 | + | 4260.84i | −0.665792 | + | 1.15318i | 0.313279 | + | 0.949661i | \(0.398573\pi\) |
−0.979070 | + | 0.203523i | \(0.934761\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 719.000 | + | 1245.34i | 0.192178 | + | 0.332862i | 0.945972 | − | 0.324249i | \(-0.105112\pi\) |
−0.753794 | + | 0.657111i | \(0.771778\pi\) | |||||||
\(242\) | 1946.00 | 0.516916 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1208.00 | 0.316944 | ||||||||
\(245\) | −817.500 | − | 1415.95i | −0.213176 | − | 0.369232i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −140.000 | + | 242.487i | −0.0360647 | + | 0.0624659i | ||||
\(248\) | −1088.00 | + | 1884.47i | −0.278581 | + | 0.482516i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 125.000 | + | 216.506i | 0.0316228 | + | 0.0547723i | ||||
\(251\) | 792.000 | 0.199166 | 0.0995829 | − | 0.995029i | \(-0.468249\pi\) | ||||
0.0995829 | + | 0.995029i | \(0.468249\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3456.00 | −0.858802 | ||||||||
\(254\) | 124.000 | + | 214.774i | 0.0306317 | + | 0.0530557i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −128.000 | + | 221.703i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −1083.00 | + | 1875.81i | −0.262863 | + | 0.455291i | −0.967001 | − | 0.254771i | \(-0.918000\pi\) |
0.704139 | + | 0.710062i | \(0.251333\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −668.000 | − | 1157.01i | −0.160261 | − | 0.277580i | ||||
\(260\) | −40.0000 | −0.00954113 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 384.000 | 0.0905481 | ||||||||
\(263\) | −1596.00 | − | 2764.35i | −0.374196 | − | 0.648127i | 0.616010 | − | 0.787738i | \(-0.288748\pi\) |
−0.990206 | + | 0.139611i | \(0.955415\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −195.000 | + | 337.750i | −0.0452028 | + | 0.0782936i | ||||
\(266\) | 560.000 | − | 969.948i | 0.129082 | − | 0.223577i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1192.00 | − | 2064.60i | −0.271690 | − | 0.470581i | ||||
\(269\) | 5490.00 | 1.24435 | 0.622177 | − | 0.782877i | \(-0.286248\pi\) | ||||
0.622177 | + | 0.782877i | \(0.286248\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6328.00 | −1.41845 | −0.709223 | − | 0.704985i | \(-0.750954\pi\) | ||||
−0.709223 | + | 0.704985i | \(0.750954\pi\) | |||||||
\(272\) | 912.000 | + | 1579.63i | 0.203302 | + | 0.352129i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2514.00 | − | 4354.38i | 0.554293 | − | 0.960064i | ||||
\(275\) | 600.000 | − | 1039.23i | 0.131569 | − | 0.227883i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 287.000 | + | 497.099i | 0.0622533 | + | 0.107826i | 0.895472 | − | 0.445117i | \(-0.146838\pi\) |
−0.833219 | + | 0.552943i | \(0.813505\pi\) | |||||||
\(278\) | 2680.00 | 0.578186 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 160.000 | 0.0341494 | ||||||||
\(281\) | −2121.00 | − | 3673.68i | −0.450278 | − | 0.779905i | 0.548125 | − | 0.836397i | \(-0.315342\pi\) |
−0.998403 | + | 0.0564915i | \(0.982009\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 314.000 | − | 543.864i | 0.0659553 | − | 0.114238i | −0.831162 | − | 0.556030i | \(-0.812324\pi\) |
0.897117 | + | 0.441792i | \(0.145657\pi\) | |||||||
\(284\) | 1536.00 | − | 2660.43i | 0.320933 | − | 0.555871i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 96.0000 | + | 166.277i | 0.0198482 | + | 0.0343782i | ||||
\(287\) | 792.000 | 0.162893 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8083.00 | 1.64523 | ||||||||
\(290\) | 1050.00 | + | 1818.65i | 0.212614 | + | 0.368259i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 956.000 | − | 1655.84i | 0.191595 | − | 0.331852i | ||||
\(293\) | 279.000 | − | 483.242i | 0.0556292 | − | 0.0963526i | −0.836870 | − | 0.547402i | \(-0.815617\pi\) |
0.892499 | + | 0.451049i | \(0.148950\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 600.000 | + | 1039.23i | 0.118418 | + | 0.205106i | ||||
\(296\) | −2672.00 | −0.524685 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2820.00 | 0.548182 | ||||||||
\(299\) | −72.0000 | − | 124.708i | −0.0139260 | − | 0.0241205i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −536.000 | + | 928.379i | −0.102640 | + | 0.177777i | ||||
\(302\) | 2128.00 | − | 3685.80i | 0.405472 | − | 0.702299i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1120.00 | − | 1939.90i | −0.211304 | − | 0.365989i | ||||
\(305\) | −1510.00 | −0.283483 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −6964.00 | −1.29465 | −0.647323 | − | 0.762216i | \(-0.724112\pi\) | ||||
−0.647323 | + | 0.762216i | \(0.724112\pi\) | |||||||
\(308\) | −384.000 | − | 665.108i | −0.0710404 | − | 0.123046i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1360.00 | − | 2355.59i | 0.249170 | − | 0.431576i | ||||
\(311\) | −1416.00 | + | 2452.58i | −0.258180 | + | 0.447181i | −0.965754 | − | 0.259458i | \(-0.916456\pi\) |
0.707574 | + | 0.706639i | \(0.249789\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4321.00 | − | 7484.19i | −0.780311 | − | 1.35154i | −0.931761 | − | 0.363073i | \(-0.881727\pi\) |
0.151449 | − | 0.988465i | \(-0.451606\pi\) | |||||||
\(314\) | 6052.00 | 1.08769 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2560.00 | −0.455732 | ||||||||
\(317\) | 1107.00 | + | 1917.38i | 0.196137 | + | 0.339719i | 0.947273 | − | 0.320429i | \(-0.103827\pi\) |
−0.751136 | + | 0.660148i | \(0.770494\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5040.00 | − | 8729.54i | 0.884595 | − | 1.53216i | ||||
\(320\) | 160.000 | − | 277.128i | 0.0279508 | − | 0.0484123i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 288.000 | + | 498.831i | 0.0498435 | + | 0.0863315i | ||||
\(323\) | −15960.0 | −2.74934 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 50.0000 | 0.00853385 | ||||||||
\(326\) | −2612.00 | − | 4524.12i | −0.443759 | − | 0.768612i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 792.000 | − | 1371.78i | 0.133326 | − | 0.230927i | ||||
\(329\) | 432.000 | − | 748.246i | 0.0723919 | − | 0.125386i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5386.00 | − | 9328.83i | −0.894385 | − | 1.54912i | −0.834564 | − | 0.550911i | \(-0.814281\pi\) |
−0.0598204 | − | 0.998209i | \(-0.519053\pi\) | |||||||
\(332\) | −1392.00 | −0.230108 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −48.0000 | −0.00786360 | ||||||||
\(335\) | 1490.00 | + | 2580.76i | 0.243007 | + | 0.420901i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 827.000 | − | 1432.41i | 0.133678 | − | 0.231537i | −0.791414 | − | 0.611281i | \(-0.790654\pi\) |
0.925092 | + | 0.379744i | \(0.123988\pi\) | |||||||
\(338\) | 2193.00 | − | 3798.39i | 0.352910 | − | 0.611258i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1140.00 | − | 1974.54i | −0.181839 | − | 0.314954i | ||||
\(341\) | −13056.0 | −2.07338 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2680.00 | 0.421885 | ||||||||
\(344\) | 1072.00 | + | 1856.76i | 0.168019 | + | 0.291017i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1962.00 | + | 3398.28i | −0.304849 | + | 0.528014i | ||||
\(347\) | −1098.00 | + | 1901.79i | −0.169867 | + | 0.294218i | −0.938373 | − | 0.345625i | \(-0.887667\pi\) |
0.768506 | + | 0.639842i | \(0.221000\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4135.00 | − | 7162.03i | −0.634216 | − | 1.09849i | −0.986681 | − | 0.162670i | \(-0.947990\pi\) |
0.352464 | − | 0.935825i | \(-0.385344\pi\) | |||||||
\(350\) | −200.000 | −0.0305441 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1536.00 | −0.232583 | ||||||||
\(353\) | −5151.00 | − | 8921.79i | −0.776657 | − | 1.34521i | −0.933858 | − | 0.357643i | \(-0.883580\pi\) |
0.157201 | − | 0.987567i | \(-0.449753\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1920.00 | + | 3325.54i | −0.287051 | + | 0.497186i | ||||
\(356\) | −420.000 | + | 727.461i | −0.0625280 | + | 0.108302i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 120.000 | + | 207.846i | 0.0177156 | + | 0.0306844i | ||||
\(359\) | −2280.00 | −0.335192 | −0.167596 | − | 0.985856i | \(-0.553600\pi\) | ||||
−0.167596 | + | 0.985856i | \(0.553600\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12741.0 | 1.85756 | ||||||||
\(362\) | −902.000 | − | 1562.31i | −0.130962 | − | 0.226832i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 16.0000 | − | 27.7128i | 0.00230392 | − | 0.00399051i | ||||
\(365\) | −1195.00 | + | 2069.80i | −0.171368 | + | 0.296817i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4382.00 | + | 7589.85i | 0.623266 | + | 1.07953i | 0.988873 | + | 0.148759i | \(0.0475278\pi\) |
−0.365608 | + | 0.930769i | \(0.619139\pi\) | |||||||
\(368\) | 1152.00 | 0.163185 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3340.00 | 0.469293 | ||||||||
\(371\) | −156.000 | − | 270.200i | −0.0218305 | − | 0.0378115i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 659.000 | − | 1141.42i | 0.0914792 | − | 0.158447i | −0.816655 | − | 0.577127i | \(-0.804174\pi\) |
0.908134 | + | 0.418680i | \(0.137507\pi\) | |||||||
\(374\) | −5472.00 | + | 9477.78i | −0.756552 | + | 1.31039i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −864.000 | − | 1496.49i | −0.118504 | − | 0.205254i | ||||
\(377\) | 420.000 | 0.0573769 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1100.00 | 0.149085 | 0.0745425 | − | 0.997218i | \(-0.476250\pi\) | ||||
0.0745425 | + | 0.997218i | \(0.476250\pi\) | |||||||
\(380\) | 1400.00 | + | 2424.87i | 0.188996 | + | 0.327351i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 168.000 | − | 290.985i | 0.0225016 | − | 0.0389740i | ||||
\(383\) | 1764.00 | − | 3055.34i | 0.235343 | − | 0.407625i | −0.724030 | − | 0.689769i | \(-0.757712\pi\) |
0.959372 | + | 0.282144i | \(0.0910455\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 480.000 | + | 831.384i | 0.0635404 | + | 0.110055i | ||||
\(386\) | −2636.00 | −0.347588 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −6136.00 | −0.802856 | ||||||||
\(389\) | 4815.00 | + | 8339.82i | 0.627584 | + | 1.08701i | 0.988035 | + | 0.154229i | \(0.0492895\pi\) |
−0.360451 | + | 0.932778i | \(0.617377\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 4104.00 | − | 7108.34i | 0.530814 | − | 0.919396i | ||||
\(392\) | 1308.00 | − | 2265.52i | 0.168531 | − | 0.291903i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4014.00 | + | 6952.45i | 0.513255 | + | 0.888983i | ||||
\(395\) | 3200.00 | 0.407619 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3094.00 | −0.391142 | −0.195571 | − | 0.980690i | \(-0.562656\pi\) | ||||
−0.195571 | + | 0.980690i | \(0.562656\pi\) | |||||||
\(398\) | −2000.00 | − | 3464.10i | −0.251887 | − | 0.436281i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −200.000 | + | 346.410i | −0.0250000 | + | 0.0433013i | ||||
\(401\) | 819.000 | − | 1418.55i | 0.101992 | − | 0.176656i | −0.810513 | − | 0.585721i | \(-0.800812\pi\) |
0.912505 | + | 0.409065i | \(0.134145\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −272.000 | − | 471.118i | −0.0336211 | − | 0.0582334i | ||||
\(404\) | 6888.00 | 0.848245 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1680.00 | −0.205362 | ||||||||
\(407\) | −8016.00 | − | 13884.1i | −0.976261 | − | 1.69093i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6875.00 | − | 11907.8i | 0.831166 | − | 1.43962i | −0.0659483 | − | 0.997823i | \(-0.521007\pi\) |
0.897114 | − | 0.441799i | \(-0.145659\pi\) | |||||||
\(410\) | −990.000 | + | 1714.73i | −0.119250 | + | 0.206548i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2104.00 | − | 3644.23i | −0.251594 | − | 0.435773i | ||||
\(413\) | −960.000 | −0.114379 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1740.00 | 0.205815 | ||||||||
\(416\) | −32.0000 | − | 55.4256i | −0.00377146 | − | 0.00653237i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6720.00 | − | 11639.4i | 0.786330 | − | 1.36196i | ||||
\(419\) | 6240.00 | − | 10808.0i | 0.727551 | − | 1.26016i | −0.230364 | − | 0.973105i | \(-0.573992\pi\) |
0.957915 | − | 0.287051i | \(-0.0926750\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3631.00 | − | 6289.08i | −0.420342 | − | 0.728054i | 0.575631 | − | 0.817710i | \(-0.304757\pi\) |
−0.995973 | + | 0.0896557i | \(0.971423\pi\) | |||||||
\(422\) | −7736.00 | −0.892376 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −624.000 | −0.0714720 | ||||||||
\(425\) | 1425.00 | + | 2468.17i | 0.162642 | + | 0.281703i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 604.000 | − | 1046.16i | 0.0684534 | − | 0.118565i | ||||
\(428\) | 1128.00 | − | 1953.75i | 0.127392 | − | 0.220650i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1340.00 | − | 2320.95i | −0.150280 | − | 0.260293i | ||||
\(431\) | 9792.00 | 1.09435 | 0.547174 | − | 0.837019i | \(-0.315704\pi\) | ||||
0.547174 | + | 0.837019i | \(0.315704\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1802.00 | 0.199997 | 0.0999984 | − | 0.994988i | \(-0.468116\pi\) | ||||
0.0999984 | + | 0.994988i | \(0.468116\pi\) | |||||||
\(434\) | 1088.00 | + | 1884.47i | 0.120336 | + | 0.208427i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1220.00 | − | 2113.10i | 0.134008 | − | 0.232108i | ||||
\(437\) | −5040.00 | + | 8729.54i | −0.551707 | + | 0.955584i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1160.00 | + | 2009.18i | 0.126113 | + | 0.218435i | 0.922168 | − | 0.386791i | \(-0.126416\pi\) |
−0.796054 | + | 0.605225i | \(0.793083\pi\) | |||||||
\(440\) | 1920.00 | 0.208028 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −456.000 | −0.0490717 | ||||||||
\(443\) | −5586.00 | − | 9675.24i | −0.599095 | − | 1.03766i | −0.992955 | − | 0.118492i | \(-0.962194\pi\) |
0.393861 | − | 0.919170i | \(-0.371139\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 525.000 | − | 909.327i | 0.0559267 | − | 0.0968679i | ||||
\(446\) | 3148.00 | − | 5452.50i | 0.334220 | − | 0.578886i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 128.000 | + | 221.703i | 0.0134987 | + | 0.0233805i | ||||
\(449\) | 6810.00 | 0.715777 | 0.357888 | − | 0.933764i | \(-0.383497\pi\) | ||||
0.357888 | + | 0.933764i | \(0.383497\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9504.00 | 0.992297 | ||||||||
\(452\) | −2604.00 | − | 4510.26i | −0.270978 | − | 0.469347i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2556.00 | + | 4427.12i | −0.264227 | + | 0.457654i | ||||
\(455\) | −20.0000 | + | 34.6410i | −0.00206069 | + | 0.00356922i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −8533.00 | − | 14779.6i | −0.873429 | − | 1.51282i | −0.858427 | − | 0.512935i | \(-0.828558\pi\) |
−0.0150014 | − | 0.999887i | \(-0.504775\pi\) | |||||||
\(458\) | −1220.00 | −0.124469 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1440.00 | −0.145957 | ||||||||
\(461\) | 9459.00 | + | 16383.5i | 0.955639 | + | 1.65522i | 0.732899 | + | 0.680337i | \(0.238167\pi\) |
0.222740 | + | 0.974878i | \(0.428500\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −526.000 | + | 911.059i | −0.0527976 | + | 0.0914481i | −0.891216 | − | 0.453579i | \(-0.850147\pi\) |
0.838419 | + | 0.545027i | \(0.183480\pi\) | |||||||
\(464\) | −1680.00 | + | 2909.85i | −0.168086 | + | 0.291134i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2058.00 | + | 3564.56i | 0.204582 | + | 0.354346i | ||||
\(467\) | 11076.0 | 1.09751 | 0.548754 | − | 0.835984i | \(-0.315102\pi\) | ||||
0.548754 | + | 0.835984i | \(0.315102\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2384.00 | −0.234718 | ||||||||
\(470\) | 1080.00 | + | 1870.61i | 0.105993 | + | 0.183585i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −960.000 | + | 1662.77i | −0.0936178 | + | 0.162151i | ||||
\(473\) | −6432.00 | + | 11140.6i | −0.625251 | + | 1.08297i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1750.00 | − | 3031.09i | −0.169043 | − | 0.292791i | ||||
\(476\) | 1824.00 | 0.175636 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9840.00 | 0.941571 | ||||||||
\(479\) | 4500.00 | + | 7794.23i | 0.429249 | + | 0.743481i | 0.996807 | − | 0.0798526i | \(-0.0254450\pi\) |
−0.567558 | + | 0.823334i | \(0.692112\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 334.000 | − | 578.505i | 0.0316613 | − | 0.0548390i | ||||
\(482\) | 1438.00 | − | 2490.69i | 0.135890 | − | 0.235369i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1946.00 | − | 3370.57i | −0.182757 | − | 0.316545i | ||||
\(485\) | 7670.00 | 0.718096 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8764.00 | −0.815472 | −0.407736 | − | 0.913100i | \(-0.633682\pi\) | ||||
−0.407736 | + | 0.913100i | \(0.633682\pi\) | |||||||
\(488\) | −1208.00 | − | 2092.32i | −0.112057 | − | 0.194088i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1635.00 | + | 2831.90i | −0.150738 | + | 0.261086i | ||||
\(491\) | −2796.00 | + | 4842.81i | −0.256989 | + | 0.445118i | −0.965434 | − | 0.260648i | \(-0.916064\pi\) |
0.708445 | + | 0.705766i | \(0.249397\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 11970.0 | + | 20732.6i | 1.09351 | + | 1.89402i | ||||
\(494\) | 560.000 | 0.0510032 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 4352.00 | 0.393973 | ||||||||
\(497\) | −1536.00 | − | 2660.43i | −0.138630 | − | 0.240114i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2350.00 | + | 4070.32i | −0.210823 | + | 0.365155i | −0.951972 | − | 0.306184i | \(-0.900948\pi\) |
0.741150 | + | 0.671340i | \(0.234281\pi\) | |||||||
\(500\) | 250.000 | − | 433.013i | 0.0223607 | − | 0.0387298i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −792.000 | − | 1371.78i | −0.0704157 | − | 0.121964i | ||||
\(503\) | −11808.0 | −1.04671 | −0.523353 | − | 0.852116i | \(-0.675319\pi\) | ||||
−0.523353 | + | 0.852116i | \(0.675319\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8610.00 | −0.758693 | ||||||||
\(506\) | 3456.00 | + | 5985.97i | 0.303632 | + | 0.525907i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 248.000 | − | 429.549i | 0.0216599 | − | 0.0375160i | ||||
\(509\) | −585.000 | + | 1013.25i | −0.0509424 | + | 0.0882348i | −0.890372 | − | 0.455233i | \(-0.849556\pi\) |
0.839430 | + | 0.543468i | \(0.182889\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −956.000 | − | 1655.84i | −0.0827612 | − | 0.143347i | ||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4332.00 | 0.371744 | ||||||||
\(515\) | 2630.00 | + | 4555.29i | 0.225032 | + | 0.389767i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5184.00 | − | 8978.95i | 0.440990 | − | 0.763818i | ||||
\(518\) | −1336.00 | + | 2314.02i | −0.113321 | + | 0.196278i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 40.0000 | + | 69.2820i | 0.00337330 | + | 0.00584273i | ||||
\(521\) | −16638.0 | −1.39909 | −0.699543 | − | 0.714590i | \(-0.746613\pi\) | ||||
−0.699543 | + | 0.714590i | \(0.746613\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15692.0 | 1.31198 | 0.655988 | − | 0.754771i | \(-0.272252\pi\) | ||||
0.655988 | + | 0.754771i | \(0.272252\pi\) | |||||||
\(524\) | −384.000 | − | 665.108i | −0.0320136 | − | 0.0554492i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3192.00 | + | 5528.71i | −0.264597 | + | 0.458295i | ||||
\(527\) | 15504.0 | − | 26853.7i | 1.28153 | − | 2.21967i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3491.50 | + | 6047.46i | 0.286965 | + | 0.497038i | ||||
\(530\) | 780.000 | 0.0639265 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2240.00 | −0.182549 | ||||||||
\(533\) | 198.000 | + | 342.946i | 0.0160907 | + | 0.0278699i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1410.00 | + | 2442.19i | −0.113943 | + | 0.197355i | ||||
\(536\) | −2384.00 | + | 4129.21i | −0.192114 | + | 0.332751i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5490.00 | − | 9508.96i | −0.439946 | − | 0.762008i | ||||
\(539\) | 15696.0 | 1.25431 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22018.0 | −1.74977 | −0.874887 | − | 0.484327i | \(-0.839064\pi\) | ||||
−0.874887 | + | 0.484327i | \(0.839064\pi\) | |||||||
\(542\) | 6328.00 | + | 10960.4i | 0.501496 | + | 0.868617i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1824.00 | − | 3159.26i | 0.143756 | − | 0.248993i | ||||
\(545\) | −1525.00 | + | 2641.38i | −0.119860 | + | 0.207604i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2282.00 | + | 3952.54i | 0.178375 | + | 0.308955i | 0.941324 | − | 0.337504i | \(-0.109583\pi\) |
−0.762949 | + | 0.646459i | \(0.776249\pi\) | |||||||
\(548\) | −10056.0 | −0.783889 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2400.00 | −0.186066 | ||||||||
\(551\) | −14700.0 | − | 25461.1i | −1.13655 | − | 1.96857i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1280.00 | + | 2217.03i | −0.0984288 | + | 0.170484i | ||||
\(554\) | 574.000 | − | 994.197i | 0.0440197 | − | 0.0762444i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2680.00 | − | 4641.90i | −0.204420 | − | 0.354065i | ||||
\(557\) | −7734.00 | −0.588331 | −0.294165 | − | 0.955755i | \(-0.595042\pi\) | ||||
−0.294165 | + | 0.955755i | \(0.595042\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −536.000 | −0.0405552 | ||||||||
\(560\) | −160.000 | − | 277.128i | −0.0120736 | − | 0.0209121i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4242.00 | + | 7347.36i | −0.318395 | + | 0.551476i | ||||
\(563\) | 10074.0 | − | 17448.7i | 0.754118 | − | 1.30617i | −0.191693 | − | 0.981455i | \(-0.561398\pi\) |
0.945812 | − | 0.324716i | \(-0.105269\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3255.00 | + | 5637.83i | 0.242370 | + | 0.419797i | ||||
\(566\) | −1256.00 | −0.0932749 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −6144.00 | −0.453867 | ||||||||
\(569\) | 12015.0 | + | 20810.6i | 0.885228 | + | 1.53326i | 0.845452 | + | 0.534052i | \(0.179331\pi\) |
0.0397769 | + | 0.999209i | \(0.487335\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1186.00 | + | 2054.21i | −0.0869222 | + | 0.150554i | −0.906209 | − | 0.422831i | \(-0.861036\pi\) |
0.819287 | + | 0.573384i | \(0.194370\pi\) | |||||||
\(572\) | 192.000 | − | 332.554i | 0.0140348 | − | 0.0243090i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −792.000 | − | 1371.78i | −0.0575914 | − | 0.0997512i | ||||
\(575\) | 1800.00 | 0.130548 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 8546.00 | 0.616594 | 0.308297 | − | 0.951290i | \(-0.400241\pi\) | ||||
0.308297 | + | 0.951290i | \(0.400241\pi\) | |||||||
\(578\) | −8083.00 | − | 14000.2i | −0.581676 | − | 1.00749i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2100.00 | − | 3637.31i | 0.150341 | − | 0.260398i | ||||
\(581\) | −696.000 | + | 1205.51i | −0.0496987 | + | 0.0860807i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1872.00 | − | 3242.40i | −0.132985 | − | 0.230337i | ||||
\(584\) | −3824.00 | −0.270956 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1116.00 | −0.0786716 | ||||||||
\(587\) | 7722.00 | + | 13374.9i | 0.542966 | + | 0.940445i | 0.998732 | + | 0.0503450i | \(0.0160321\pi\) |
−0.455766 | + | 0.890100i | \(0.650635\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −19040.0 | + | 32978.2i | −1.33197 | + | 2.30704i | ||||
\(590\) | 1200.00 | − | 2078.46i | 0.0837343 | − | 0.145032i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 2672.00 | + | 4628.04i | 0.185504 | + | 0.321303i | ||||
\(593\) | 18342.0 | 1.27018 | 0.635089 | − | 0.772439i | \(-0.280963\pi\) | ||||
0.635089 | + | 0.772439i | \(0.280963\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2280.00 | −0.157094 | ||||||||
\(596\) | −2820.00 | − | 4884.38i | −0.193812 | − | 0.335692i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −144.000 | + | 249.415i | −0.00984715 | + | 0.0170558i | ||||
\(599\) | −12300.0 | + | 21304.2i | −0.839006 | + | 1.45320i | 0.0517213 | + | 0.998662i | \(0.483529\pi\) |
−0.890727 | + | 0.454539i | \(0.849804\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4499.00 | + | 7792.50i | 0.305354 | + | 0.528889i | 0.977340 | − | 0.211675i | \(-0.0678917\pi\) |
−0.671986 | + | 0.740564i | \(0.734558\pi\) | |||||||
\(602\) | 2144.00 | 0.145154 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8512.00 | −0.573424 | ||||||||
\(605\) | 2432.50 | + | 4213.21i | 0.163463 | + | 0.283126i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2038.00 | + | 3529.92i | −0.136277 | + | 0.236038i | −0.926084 | − | 0.377316i | \(-0.876847\pi\) |
0.789808 | + | 0.613354i | \(0.210180\pi\) | |||||||
\(608\) | −2240.00 | + | 3879.79i | −0.149414 | + | 0.258793i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1510.00 | + | 2615.40i | 0.100226 | + | 0.173597i | ||||
\(611\) | 432.000 | 0.0286037 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4078.00 | −0.268693 | −0.134347 | − | 0.990934i | \(-0.542894\pi\) | ||||
−0.134347 | + | 0.990934i | \(0.542894\pi\) | |||||||
\(614\) | 6964.00 | + | 12062.0i | 0.457727 | + | 0.792806i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −768.000 | + | 1330.22i | −0.0502331 | + | 0.0870063i | ||||
\(617\) | −5043.00 | + | 8734.73i | −0.329049 | + | 0.569930i | −0.982324 | − | 0.187191i | \(-0.940062\pi\) |
0.653274 | + | 0.757122i | \(0.273395\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4390.00 | − | 7603.70i | −0.285055 | − | 0.493730i | 0.687568 | − | 0.726120i | \(-0.258679\pi\) |
−0.972622 | + | 0.232391i | \(0.925345\pi\) | |||||||
\(620\) | −5440.00 | −0.352380 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 5664.00 | 0.365122 | ||||||||
\(623\) | 420.000 | + | 727.461i | 0.0270095 | + | 0.0467819i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −312.500 | + | 541.266i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −8642.00 | + | 14968.4i | −0.551763 | + | 0.955682i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −6052.00 | − | 10482.4i | −0.384556 | − | 0.666070i | ||||
\(629\) | 38076.0 | 2.41366 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2792.00 | 0.176145 | 0.0880727 | − | 0.996114i | \(-0.471929\pi\) | ||||
0.0880727 | + | 0.996114i | \(0.471929\pi\) | |||||||
\(632\) | 2560.00 | + | 4434.05i | 0.161126 | + | 0.279078i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2214.00 | − | 3834.76i | 0.138690 | − | 0.240217i | ||||
\(635\) | −310.000 | + | 536.936i | −0.0193732 | + | 0.0335553i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 327.000 | + | 566.381i | 0.0203394 | + | 0.0352289i | ||||
\(638\) | −20160.0 | −1.25101 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −640.000 | −0.0395285 | ||||||||
\(641\) | −3801.00 | − | 6583.53i | −0.234213 | − | 0.405669i | 0.724831 | − | 0.688927i | \(-0.241918\pi\) |
−0.959044 | + | 0.283258i | \(0.908585\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12106.0 | + | 20968.2i | −0.742479 | + | 1.28601i | 0.208884 | + | 0.977940i | \(0.433017\pi\) |
−0.951363 | + | 0.308071i | \(0.900317\pi\) | |||||||
\(644\) | 576.000 | − | 997.661i | 0.0352447 | − | 0.0610456i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 15960.0 | + | 27643.5i | 0.972040 | + | 1.68362i | ||||
\(647\) | 9456.00 | 0.574581 | 0.287290 | − | 0.957844i | \(-0.407246\pi\) | ||||
0.287290 | + | 0.957844i | \(0.407246\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11520.0 | −0.696764 | ||||||||
\(650\) | −50.0000 | − | 86.6025i | −0.00301717 | − | 0.00522589i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −5224.00 | + | 9048.23i | −0.313785 | + | 0.543491i | ||||
\(653\) | 4779.00 | − | 8277.47i | 0.286396 | − | 0.496053i | −0.686551 | − | 0.727082i | \(-0.740876\pi\) |
0.972947 | + | 0.231029i | \(0.0742093\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 480.000 | + | 831.384i | 0.0286338 | + | 0.0495952i | ||||
\(656\) | −3168.00 | −0.188551 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1728.00 | −0.102378 | ||||||||
\(659\) | 14640.0 | + | 25357.2i | 0.865392 | + | 1.49890i | 0.866657 | + | 0.498904i | \(0.166264\pi\) |
−0.00126511 | + | 0.999999i | \(0.500403\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14549.0 | − | 25199.6i | 0.856113 | − | 1.48283i | −0.0194961 | − | 0.999810i | \(-0.506206\pi\) |
0.875609 | − | 0.483021i | \(-0.160460\pi\) | |||||||
\(662\) | −10772.0 | + | 18657.7i | −0.632425 | + | 1.09539i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1392.00 | + | 2411.01i | 0.0813555 | + | 0.140912i | ||||
\(665\) | 2800.00 | 0.163277 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 15120.0 | 0.877734 | ||||||||
\(668\) | 48.0000 | + | 83.1384i | 0.00278020 | + | 0.00481545i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2980.00 | − | 5161.51i | 0.171832 | − | 0.297622i | ||||
\(671\) | 7248.00 | − | 12553.9i | 0.416998 | − | 0.722262i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5819.00 | + | 10078.8i | 0.333293 | + | 0.577280i | 0.983155 | − | 0.182772i | \(-0.0585069\pi\) |
−0.649863 | + | 0.760052i | \(0.725174\pi\) | |||||||
\(674\) | −3308.00 | −0.189050 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −8772.00 | −0.499090 | ||||||||
\(677\) | −1713.00 | − | 2967.00i | −0.0972466 | − | 0.168436i | 0.813297 | − | 0.581848i | \(-0.197670\pi\) |
−0.910544 | + | 0.413412i | \(0.864337\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3068.00 | + | 5313.93i | −0.173401 | + | 0.300339i | ||||
\(680\) | −2280.00 | + | 3949.08i | −0.128579 | + | 0.222706i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 13056.0 | + | 22613.7i | 0.733050 | + | 1.26968i | ||||
\(683\) | −20148.0 | −1.12876 | −0.564379 | − | 0.825516i | \(-0.690884\pi\) | ||||
−0.564379 | + | 0.825516i | \(0.690884\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 12570.0 | 0.701131 | ||||||||
\(686\) | −2680.00 | − | 4641.90i | −0.149159 | − | 0.258350i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2144.00 | − | 3713.52i | 0.118807 | − | 0.205780i | ||||
\(689\) | 78.0000 | − | 135.100i | 0.00431286 | − | 0.00747010i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14714.0 | + | 25485.4i | 0.810053 | + | 1.40305i | 0.912826 | + | 0.408349i | \(0.133895\pi\) |
−0.102772 | + | 0.994705i | \(0.532771\pi\) | |||||||
\(692\) | 7848.00 | 0.431122 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 4392.00 | 0.240228 | ||||||||
\(695\) | 3350.00 | + | 5802.37i | 0.182838 | + | 0.316686i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −11286.0 | + | 19547.9i | −0.613325 | + | 1.06231i | ||||
\(698\) | −8270.00 | + | 14324.1i | −0.448459 | + | 0.776753i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 200.000 | + | 346.410i | 0.0107990 | + | 0.0187044i | ||||
\(701\) | 16242.0 | 0.875110 | 0.437555 | − | 0.899192i | \(-0.355845\pi\) | ||||
0.437555 | + | 0.899192i | \(0.355845\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −46760.0 | −2.50866 | ||||||||
\(704\) | 1536.00 | + | 2660.43i | 0.0822304 | + | 0.142427i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10302.0 | + | 17843.6i | −0.549180 | + | 0.951207i | ||||
\(707\) | 3444.00 | − | 5965.18i | 0.183204 | − | 0.317318i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1015.00 | − | 1758.03i | −0.0537646 | − | 0.0931231i | 0.837890 | − | 0.545838i | \(-0.183789\pi\) |
−0.891655 | + | 0.452715i | \(0.850455\pi\) | |||||||
\(710\) | 7680.00 | 0.405951 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1680.00 | 0.0884279 | ||||||||
\(713\) | −9792.00 | − | 16960.2i | −0.514324 | − | 0.890836i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −240.000 | + | 415.692i | −0.0125531 | + | 0.0217427i | ||||
\(716\) | 240.000 | − | 415.692i | 0.0125268 | − | 0.0216971i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2280.00 | + | 3949.08i | 0.118508 | + | 0.205262i | ||||
\(719\) | 6960.00 | 0.361007 | 0.180504 | − | 0.983574i | \(-0.442227\pi\) | ||||
0.180504 | + | 0.983574i | \(0.442227\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4208.00 | −0.217357 | ||||||||
\(722\) | −12741.0 | − | 22068.1i | −0.656746 | − | 1.13752i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1804.00 | + | 3124.62i | −0.0926038 | + | 0.160394i | ||||
\(725\) | −2625.00 | + | 4546.63i | −0.134469 | + | 0.232907i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9298.00 | − | 16104.6i | −0.474338 | − | 0.821578i | 0.525230 | − | 0.850960i | \(-0.323979\pi\) |
−0.999568 | + | 0.0293826i | \(0.990646\pi\) | |||||||
\(728\) | −64.0000 | −0.00325824 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4780.00 | 0.242350 | ||||||||
\(731\) | −15276.0 | − | 26458.8i | −0.772918 | − | 1.33873i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10621.0 | + | 18396.1i | −0.535192 | + | 0.926979i | 0.463962 | + | 0.885855i | \(0.346427\pi\) |
−0.999154 | + | 0.0411244i | \(0.986906\pi\) | |||||||
\(734\) | 8764.00 | − | 15179.7i | 0.440715 | − | 0.763342i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1152.00 | − | 1995.32i | −0.0576947 | − | 0.0999301i | ||||
\(737\) | −28608.0 | −1.42984 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −340.000 | −0.0169244 | −0.00846218 | − | 0.999964i | \(-0.502694\pi\) | ||||
−0.00846218 | + | 0.999964i | \(0.502694\pi\) | |||||||
\(740\) | −3340.00 | − | 5785.05i | −0.165920 | − | 0.287382i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −312.000 | + | 540.400i | −0.0154365 | + | 0.0267368i | ||||
\(743\) | 10944.0 | − | 18955.6i | 0.540372 | − | 0.935952i | −0.458510 | − | 0.888689i | \(-0.651617\pi\) |
0.998882 | − | 0.0472628i | \(-0.0150498\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3525.00 | + | 6105.48i | 0.173350 | + | 0.300252i | ||||
\(746\) | −2636.00 | −0.129371 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 21888.0 | 1.06993 | ||||||||
\(749\) | −1128.00 | − | 1953.75i | −0.0550283 | − | 0.0953119i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8896.00 | + | 15408.3i | −0.432250 | + | 0.748679i | −0.997067 | − | 0.0765376i | \(-0.975613\pi\) |
0.564817 | + | 0.825216i | \(0.308947\pi\) | |||||||
\(752\) | −1728.00 | + | 2992.98i | −0.0837948 | + | 0.145137i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −420.000 | − | 727.461i | −0.0202858 | − | 0.0351360i | ||||
\(755\) | 10640.0 | 0.512886 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 37346.0 | 1.79308 | 0.896541 | − | 0.442960i | \(-0.146072\pi\) | ||||
0.896541 | + | 0.442960i | \(0.146072\pi\) | |||||||
\(758\) | −1100.00 | − | 1905.26i | −0.0527095 | − | 0.0912955i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2800.00 | − | 4849.74i | 0.133640 | − | 0.231472i | ||||
\(761\) | 5679.00 | − | 9836.32i | 0.270517 | − | 0.468550i | −0.698477 | − | 0.715632i | \(-0.746139\pi\) |
0.968994 | + | 0.247083i | \(0.0794720\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1220.00 | − | 2113.10i | −0.0578859 | − | 0.100261i | ||||
\(764\) | −672.000 | −0.0318221 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −7056.00 | −0.332825 | ||||||||
\(767\) | −240.000 | − | 415.692i | −0.0112984 | − | 0.0195695i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17135.0 | − | 29678.7i | 0.803516 | − | 1.39173i | −0.113772 | − | 0.993507i | \(-0.536293\pi\) |
0.917288 | − | 0.398224i | \(-0.130373\pi\) | |||||||
\(770\) | 960.000 | − | 1662.77i | 0.0449299 | − | 0.0778208i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2636.00 | + | 4565.69i | 0.122891 | + | 0.212853i | ||||
\(773\) | −13278.0 | −0.617822 | −0.308911 | − | 0.951091i | \(-0.599965\pi\) | ||||
−0.308911 | + | 0.951091i | \(0.599965\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6800.00 | 0.315178 | ||||||||
\(776\) | 6136.00 | + | 10627.9i | 0.283853 | + | 0.491647i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 9630.00 | − | 16679.6i | 0.443769 | − | 0.768630i | ||||
\(779\) | 13860.0 | − | 24006.2i | 0.637466 | − | 1.10412i | ||||
\(780\) | 0 |