Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [45,4,Mod(2,45)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(45, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("45.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.l (of order \(12\), degree \(4\), 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: | \(2.65508595026\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 2.11 | ||
Character | \(\chi\) | \(=\) | 45.2 |
Dual form | 45.4.l.a.23.11 |
$q$-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 \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.385641 | + | 1.43923i | 0.136345 | + | 0.508846i | 0.999989 | + | 0.00474347i | \(0.00150990\pi\) |
−0.863644 | + | 0.504102i | \(0.831823\pi\) | |||||||
\(3\) | 4.61491 | + | 2.38802i | 0.888139 | + | 0.459575i | ||||
\(4\) | 5.00553 | − | 2.88994i | 0.625691 | − | 0.361243i | ||||
\(5\) | 4.60989 | − | 10.1857i | 0.412321 | − | 0.911038i | ||||
\(6\) | −1.65722 | + | 7.56285i | −0.112759 | + | 0.514587i | ||||
\(7\) | −24.7344 | + | 6.62758i | −1.33553 | + | 0.357855i | −0.854776 | − | 0.518997i | \(-0.826305\pi\) |
−0.480759 | + | 0.876853i | \(0.659639\pi\) | |||||||
\(8\) | 14.5184 | + | 14.5184i | 0.641628 | + | 0.641628i | ||||
\(9\) | 15.5947 | + | 22.0410i | 0.577582 | + | 0.816332i | ||||
\(10\) | 16.4374 | + | 2.70668i | 0.519796 | + | 0.0855926i | ||||
\(11\) | 11.8937 | + | 6.86683i | 0.326008 | + | 0.188221i | 0.654067 | − | 0.756436i | \(-0.273061\pi\) |
−0.328059 | + | 0.944657i | \(0.606395\pi\) | |||||||
\(12\) | 30.0013 | − | 1.38352i | 0.721719 | − | 0.0332823i | ||||
\(13\) | −80.7799 | − | 21.6449i | −1.72341 | − | 0.461786i | −0.744761 | − | 0.667331i | \(-0.767437\pi\) |
−0.978648 | + | 0.205545i | \(0.934103\pi\) | |||||||
\(14\) | −19.0773 | − | 33.0428i | −0.364186 | − | 0.630789i | ||||
\(15\) | 45.5979 | − | 35.9976i | 0.784889 | − | 0.619637i | ||||
\(16\) | 7.82311 | − | 13.5500i | 0.122236 | − | 0.211719i | ||||
\(17\) | −19.6420 | + | 19.6420i | −0.280228 | + | 0.280228i | −0.833200 | − | 0.552972i | \(-0.813494\pi\) |
0.552972 | + | 0.833200i | \(0.313494\pi\) | |||||||
\(18\) | −25.7081 | + | 30.9444i | −0.336637 | + | 0.405203i | ||||
\(19\) | 23.7249i | 0.286467i | 0.989689 | + | 0.143233i | \(0.0457500\pi\) | ||||
−0.989689 | + | 0.143233i | \(0.954250\pi\) | |||||||
\(20\) | −6.36120 | − | 64.3073i | −0.0711204 | − | 0.718977i | ||||
\(21\) | −129.974 | − | 28.4807i | −1.35060 | − | 0.295952i | ||||
\(22\) | −5.29627 | + | 19.7659i | −0.0513258 | + | 0.191551i | ||||
\(23\) | 19.8727 | − | 74.1658i | 0.180162 | − | 0.672375i | −0.815452 | − | 0.578825i | \(-0.803512\pi\) |
0.995615 | − | 0.0935508i | \(-0.0298218\pi\) | |||||||
\(24\) | 32.3308 | + | 101.671i | 0.274979 | + | 0.864731i | ||||
\(25\) | −82.4978 | − | 93.9102i | −0.659982 | − | 0.751281i | ||||
\(26\) | − | 124.608i | − | 0.939911i | ||||||
\(27\) | 19.3339 | + | 138.958i | 0.137808 | + | 0.990459i | ||||
\(28\) | −104.656 | + | 104.656i | −0.706360 | + | 0.706360i | ||||
\(29\) | 103.697 | − | 179.609i | 0.664002 | − | 1.15009i | −0.315552 | − | 0.948908i | \(-0.602190\pi\) |
0.979555 | − | 0.201178i | \(-0.0644768\pi\) | |||||||
\(30\) | 69.3934 | + | 51.7439i | 0.422315 | + | 0.314903i | ||||
\(31\) | −16.4679 | − | 28.5232i | −0.0954104 | − | 0.165256i | 0.814369 | − | 0.580347i | \(-0.197083\pi\) |
−0.909780 | + | 0.415091i | \(0.863750\pi\) | |||||||
\(32\) | 181.178 | + | 48.5466i | 1.00088 | + | 0.268185i | ||||
\(33\) | 38.4902 | + | 60.0922i | 0.203039 | + | 0.316991i | ||||
\(34\) | −35.8441 | − | 20.6946i | −0.180800 | − | 0.104385i | ||||
\(35\) | −46.5165 | + | 282.491i | −0.224649 | + | 1.36427i | ||||
\(36\) | 141.757 | + | 65.2589i | 0.656283 | + | 0.302124i | ||||
\(37\) | 156.441 | + | 156.441i | 0.695101 | + | 0.695101i | 0.963350 | − | 0.268249i | \(-0.0864449\pi\) |
−0.268249 | + | 0.963350i | \(0.586445\pi\) | |||||||
\(38\) | −34.1457 | + | 9.14932i | −0.145768 | + | 0.0390583i | ||||
\(39\) | −321.103 | − | 292.793i | −1.31840 | − | 1.20216i | ||||
\(40\) | 214.808 | − | 80.9520i | 0.849104 | − | 0.319991i | ||||
\(41\) | −247.106 | + | 142.667i | −0.941255 | + | 0.543434i | −0.890354 | − | 0.455270i | \(-0.849543\pi\) |
−0.0509015 | + | 0.998704i | \(0.516209\pi\) | |||||||
\(42\) | −9.13295 | − | 198.046i | −0.0335535 | − | 0.727600i | ||||
\(43\) | 32.8295 | + | 122.522i | 0.116429 | + | 0.434520i | 0.999390 | − | 0.0349271i | \(-0.0111199\pi\) |
−0.882961 | + | 0.469447i | \(0.844453\pi\) | |||||||
\(44\) | 79.3790 | 0.271974 | ||||||||
\(45\) | 296.393 | − | 57.2370i | 0.981860 | − | 0.189608i | ||||
\(46\) | 114.406 | 0.366700 | ||||||||
\(47\) | 89.1338 | + | 332.652i | 0.276628 | + | 1.03239i | 0.954743 | + | 0.297433i | \(0.0961305\pi\) |
−0.678115 | + | 0.734956i | \(0.737203\pi\) | |||||||
\(48\) | 68.4606 | − | 43.8503i | 0.205863 | − | 0.131859i | ||||
\(49\) | 270.821 | − | 156.359i | 0.789567 | − | 0.455857i | ||||
\(50\) | 103.344 | − | 154.949i | 0.292301 | − | 0.438262i | ||||
\(51\) | −137.551 | + | 43.7404i | −0.377667 | + | 0.120096i | ||||
\(52\) | −466.899 | + | 125.105i | −1.24514 | + | 0.333634i | ||||
\(53\) | −169.925 | − | 169.925i | −0.440397 | − | 0.440397i | 0.451748 | − | 0.892145i | \(-0.350800\pi\) |
−0.892145 | + | 0.451748i | \(0.850800\pi\) | |||||||
\(54\) | −192.536 | + | 81.4138i | −0.485201 | + | 0.205167i | ||||
\(55\) | 124.772 | − | 89.4906i | 0.305896 | − | 0.219398i | ||||
\(56\) | −455.326 | − | 262.882i | −1.08653 | − | 0.627306i | ||||
\(57\) | −56.6556 | + | 109.488i | −0.131653 | + | 0.254423i | ||||
\(58\) | 298.489 | + | 79.9798i | 0.675750 | + | 0.181067i | ||||
\(59\) | 219.565 | + | 380.298i | 0.484491 | + | 0.839162i | 0.999841 | − | 0.0178172i | \(-0.00567168\pi\) |
−0.515351 | + | 0.856979i | \(0.672338\pi\) | |||||||
\(60\) | 124.211 | − | 311.963i | 0.267259 | − | 0.671237i | ||||
\(61\) | 138.080 | − | 239.161i | 0.289824 | − | 0.501990i | −0.683943 | − | 0.729535i | \(-0.739736\pi\) |
0.973768 | + | 0.227545i | \(0.0730698\pi\) | |||||||
\(62\) | 34.7009 | − | 34.7009i | 0.0710810 | − | 0.0710810i | ||||
\(63\) | −531.805 | − | 441.816i | −1.06351 | − | 0.883549i | ||||
\(64\) | 154.310i | 0.301386i | ||||||||
\(65\) | −592.856 | + | 723.021i | −1.13130 | + | 1.37969i | ||||
\(66\) | −71.6433 | + | 78.5704i | −0.133616 | + | 0.146536i | ||||
\(67\) | 244.540 | − | 912.635i | 0.445900 | − | 1.66412i | −0.267649 | − | 0.963516i | \(-0.586247\pi\) |
0.713549 | − | 0.700605i | \(-0.247087\pi\) | |||||||
\(68\) | −41.5543 | + | 155.083i | −0.0741058 | + | 0.276567i | ||||
\(69\) | 268.820 | − | 294.812i | 0.469016 | − | 0.514365i | ||||
\(70\) | −424.509 | + | 41.9919i | −0.724835 | + | 0.0716999i | ||||
\(71\) | − | 112.676i | − | 0.188341i | −0.995556 | − | 0.0941705i | \(-0.969980\pi\) | ||
0.995556 | − | 0.0941705i | \(-0.0300199\pi\) | |||||||
\(72\) | −93.5891 | + | 546.409i | −0.153189 | + | 0.894374i | ||||
\(73\) | −474.023 | + | 474.023i | −0.760002 | + | 0.760002i | −0.976322 | − | 0.216320i | \(-0.930595\pi\) |
0.216320 | + | 0.976322i | \(0.430595\pi\) | |||||||
\(74\) | −164.825 | + | 285.485i | −0.258926 | + | 0.448473i | ||||
\(75\) | −156.460 | − | 630.393i | −0.240886 | − | 0.970553i | ||||
\(76\) | 68.5637 | + | 118.756i | 0.103484 | + | 0.179240i | ||||
\(77\) | −339.695 | − | 91.0209i | −0.502751 | − | 0.134712i | ||||
\(78\) | 297.567 | − | 575.056i | 0.431959 | − | 0.834772i | ||||
\(79\) | 286.620 | + | 165.480i | 0.408194 | + | 0.235671i | 0.690013 | − | 0.723797i | \(-0.257605\pi\) |
−0.281820 | + | 0.959467i | \(0.590938\pi\) | |||||||
\(80\) | −101.953 | − | 142.148i | −0.142484 | − | 0.198658i | ||||
\(81\) | −242.609 | + | 687.446i | −0.332797 | + | 0.942998i | ||||
\(82\) | −300.625 | − | 300.625i | −0.404859 | − | 0.404859i | ||||
\(83\) | 1449.19 | − | 388.308i | 1.91649 | − | 0.513523i | 0.925674 | − | 0.378321i | \(-0.123498\pi\) |
0.990818 | − | 0.135202i | \(-0.0431682\pi\) | |||||||
\(84\) | −732.896 | + | 233.056i | −0.951971 | + | 0.302721i | ||||
\(85\) | 109.520 | + | 290.615i | 0.139754 | + | 0.370842i | ||||
\(86\) | −163.677 | + | 94.4988i | −0.205229 | + | 0.118489i | ||||
\(87\) | 907.461 | − | 581.246i | 1.11828 | − | 0.716278i | ||||
\(88\) | 72.9820 | + | 272.373i | 0.0884080 | + | 0.329943i | ||||
\(89\) | 598.425 | 0.712730 | 0.356365 | − | 0.934347i | \(-0.384016\pi\) | ||||
0.356365 | + | 0.934347i | \(0.384016\pi\) | |||||||
\(90\) | 196.679 | + | 404.506i | 0.230353 | + | 0.473763i | ||||
\(91\) | 2141.50 | 2.46692 | ||||||||
\(92\) | −114.862 | − | 428.670i | −0.130165 | − | 0.485782i | ||||
\(93\) | −7.88376 | − | 170.958i | −0.00879041 | − | 0.190618i | ||||
\(94\) | −444.390 | + | 256.569i | −0.487610 | + | 0.281522i | ||||
\(95\) | 241.656 | + | 109.369i | 0.260982 | + | 0.118116i | ||||
\(96\) | 720.191 | + | 656.695i | 0.765669 | + | 0.698164i | ||||
\(97\) | −288.897 | + | 77.4097i | −0.302402 | + | 0.0810285i | −0.406830 | − | 0.913504i | \(-0.633366\pi\) |
0.104427 | + | 0.994533i | \(0.466699\pi\) | |||||||
\(98\) | 329.477 | + | 329.477i | 0.339614 | + | 0.339614i | ||||
\(99\) | 34.1273 | + | 369.235i | 0.0346457 | + | 0.374844i | ||||
\(100\) | −684.340 | − | 231.656i | −0.684340 | − | 0.231656i | ||||
\(101\) | −72.2861 | − | 41.7344i | −0.0712152 | − | 0.0411161i | 0.463970 | − | 0.885851i | \(-0.346425\pi\) |
−0.535185 | + | 0.844735i | \(0.679758\pi\) | |||||||
\(102\) | −115.998 | − | 181.100i | −0.112603 | − | 0.175800i | ||||
\(103\) | −253.003 | − | 67.7920i | −0.242031 | − | 0.0648519i | 0.135764 | − | 0.990741i | \(-0.456651\pi\) |
−0.377795 | + | 0.925889i | \(0.623318\pi\) | |||||||
\(104\) | −858.544 | − | 1487.04i | −0.809492 | − | 1.40208i | ||||
\(105\) | −889.262 | + | 1192.59i | −0.826506 | + | 1.10842i | ||||
\(106\) | 179.032 | − | 310.092i | 0.164048 | − | 0.284140i | ||||
\(107\) | −278.425 | + | 278.425i | −0.251555 | + | 0.251555i | −0.821608 | − | 0.570053i | \(-0.806923\pi\) |
0.570053 | + | 0.821608i | \(0.306923\pi\) | |||||||
\(108\) | 498.356 | + | 639.682i | 0.444022 | + | 0.569939i | ||||
\(109\) | 1231.78i | 1.08242i | 0.840889 | + | 0.541208i | \(0.182033\pi\) | ||||
−0.840889 | + | 0.541208i | \(0.817967\pi\) | |||||||
\(110\) | 176.915 | + | 145.065i | 0.153347 | + | 0.125740i | ||||
\(111\) | 348.376 | + | 1095.54i | 0.297896 | + | 0.936797i | ||||
\(112\) | −103.696 | + | 387.000i | −0.0874857 | + | 0.326501i | ||||
\(113\) | −24.1251 | + | 90.0361i | −0.0200841 | + | 0.0749547i | −0.975241 | − | 0.221147i | \(-0.929020\pi\) |
0.955156 | + | 0.296102i | \(0.0956867\pi\) | |||||||
\(114\) | −179.428 | − | 39.3174i | −0.147412 | − | 0.0323019i | ||||
\(115\) | −663.821 | − | 544.314i | −0.538275 | − | 0.441370i | ||||
\(116\) | − | 1198.72i | − | 0.959465i | ||||||
\(117\) | −782.665 | − | 2118.01i | −0.618440 | − | 1.67359i | ||||
\(118\) | −462.664 | + | 462.664i | −0.360946 | + | 0.360946i | ||||
\(119\) | 355.654 | − | 616.012i | 0.273973 | − | 0.474535i | ||||
\(120\) | 1184.64 | + | 139.381i | 0.901182 | + | 0.106030i | ||||
\(121\) | −571.193 | − | 989.336i | −0.429146 | − | 0.743303i | ||||
\(122\) | 397.457 | + | 106.498i | 0.294952 | + | 0.0790321i | ||||
\(123\) | −1481.06 | + | 68.2995i | −1.08571 | + | 0.0500680i | ||||
\(124\) | −164.861 | − | 95.1827i | −0.119395 | − | 0.0689327i | ||||
\(125\) | −1336.85 | + | 407.384i | −0.956571 | + | 0.291500i | ||||
\(126\) | 430.790 | − | 935.774i | 0.304586 | − | 0.661630i | ||||
\(127\) | −394.695 | − | 394.695i | −0.275776 | − | 0.275776i | 0.555644 | − | 0.831420i | \(-0.312472\pi\) |
−0.831420 | + | 0.555644i | \(0.812472\pi\) | |||||||
\(128\) | 1227.34 | − | 328.864i | 0.847519 | − | 0.227092i | ||||
\(129\) | −141.079 | + | 643.823i | −0.0962889 | + | 0.439422i | ||||
\(130\) | −1269.23 | − | 574.431i | −0.856295 | − | 0.387545i | ||||
\(131\) | 566.164 | − | 326.875i | 0.377603 | − | 0.218009i | −0.299172 | − | 0.954199i | \(-0.596710\pi\) |
0.676775 | + | 0.736190i | \(0.263377\pi\) | |||||||
\(132\) | 366.327 | + | 189.559i | 0.241550 | + | 0.124992i | ||||
\(133\) | −157.239 | − | 586.823i | −0.102514 | − | 0.382587i | ||||
\(134\) | 1407.80 | 0.907577 | ||||||||
\(135\) | 1504.51 | + | 443.650i | 0.959167 | + | 0.282839i | ||||
\(136\) | −570.339 | −0.359604 | ||||||||
\(137\) | −2.65200 | − | 9.89738i | −0.00165383 | − | 0.00617219i | 0.965094 | − | 0.261904i | \(-0.0843503\pi\) |
−0.966748 | + | 0.255732i | \(0.917684\pi\) | |||||||
\(138\) | 527.971 | + | 273.203i | 0.325680 | + | 0.168526i | ||||
\(139\) | −1435.50 | + | 828.789i | −0.875956 | + | 0.505734i | −0.869323 | − | 0.494244i | \(-0.835445\pi\) |
−0.00663323 | + | 0.999978i | \(0.502111\pi\) | |||||||
\(140\) | 583.542 | + | 1548.45i | 0.352274 | + | 0.934768i | ||||
\(141\) | −383.035 | + | 1748.01i | −0.228776 | + | 1.04404i | ||||
\(142\) | 162.167 | − | 43.4526i | 0.0958366 | − | 0.0256793i | ||||
\(143\) | −812.140 | − | 812.140i | −0.474927 | − | 0.474927i | ||||
\(144\) | 420.655 | − | 38.8799i | 0.243435 | − | 0.0224999i | ||||
\(145\) | −1351.41 | − | 1884.21i | −0.773990 | − | 1.07914i | ||||
\(146\) | −865.032 | − | 499.427i | −0.490346 | − | 0.283102i | ||||
\(147\) | 1623.20 | − | 74.8545i | 0.910745 | − | 0.0419993i | ||||
\(148\) | 1235.18 | + | 330.964i | 0.686019 | + | 0.183818i | ||||
\(149\) | −763.694 | − | 1322.76i | −0.419894 | − | 0.727278i | 0.576034 | − | 0.817426i | \(-0.304600\pi\) |
−0.995928 | + | 0.0901473i | \(0.971266\pi\) | |||||||
\(150\) | 846.945 | − | 468.288i | 0.461018 | − | 0.254904i | ||||
\(151\) | −219.184 | + | 379.637i | −0.118125 | + | 0.204599i | −0.919025 | − | 0.394200i | \(-0.871022\pi\) |
0.800900 | + | 0.598799i | \(0.204355\pi\) | |||||||
\(152\) | −344.448 | + | 344.448i | −0.183805 | + | 0.183805i | ||||
\(153\) | −739.239 | − | 126.617i | −0.390614 | − | 0.0669044i | ||||
\(154\) | − | 524.001i | − | 0.274190i | ||||||
\(155\) | −366.445 | + | 36.2484i | −0.189894 | + | 0.0187841i | ||||
\(156\) | −2453.45 | − | 537.615i | −1.25919 | − | 0.275921i | ||||
\(157\) | −394.505 | + | 1472.31i | −0.200541 | + | 0.748430i | 0.790221 | + | 0.612821i | \(0.209965\pi\) |
−0.990763 | + | 0.135608i | \(0.956701\pi\) | |||||||
\(158\) | −127.632 | + | 476.330i | −0.0642650 | + | 0.239840i | ||||
\(159\) | −378.405 | − | 1189.97i | −0.188739 | − | 0.593529i | ||||
\(160\) | 1329.69 | − | 1621.64i | 0.657010 | − | 0.801261i | ||||
\(161\) | 1966.16i | 0.962453i | ||||||||
\(162\) | −1082.96 | − | 84.0636i | −0.525216 | − | 0.0407695i | ||||
\(163\) | 1347.15 | − | 1347.15i | 0.647345 | − | 0.647345i | −0.305006 | − | 0.952350i | \(-0.598658\pi\) |
0.952350 | + | 0.305006i | \(0.0986584\pi\) | |||||||
\(164\) | −824.597 | + | 1428.24i | −0.392623 | + | 0.680044i | ||||
\(165\) | 789.518 | − | 115.032i | 0.372508 | − | 0.0542740i | ||||
\(166\) | 1117.73 | + | 1935.97i | 0.522608 | + | 0.905183i | ||||
\(167\) | −114.108 | − | 30.5750i | −0.0528737 | − | 0.0141675i | 0.232285 | − | 0.972648i | \(-0.425380\pi\) |
−0.285159 | + | 0.958480i | \(0.592046\pi\) | |||||||
\(168\) | −1473.52 | − | 2300.50i | −0.676692 | − | 1.05647i | ||||
\(169\) | 4154.23 | + | 2398.45i | 1.89087 | + | 1.09169i | ||||
\(170\) | −376.027 | + | 269.698i | −0.169647 | + | 0.121676i | ||||
\(171\) | −522.921 | + | 369.984i | −0.233852 | + | 0.165458i | ||||
\(172\) | 518.410 | + | 518.410i | 0.229816 | + | 0.229816i | ||||
\(173\) | −474.757 | + | 127.211i | −0.208642 | + | 0.0559056i | −0.361626 | − | 0.932323i | \(-0.617778\pi\) |
0.152984 | + | 0.988229i | \(0.451112\pi\) | |||||||
\(174\) | 1186.50 | + | 1081.90i | 0.516946 | + | 0.471370i | ||||
\(175\) | 2662.93 | + | 1776.06i | 1.15028 | + | 0.767184i | ||||
\(176\) | 186.091 | − | 107.440i | 0.0796998 | − | 0.0460147i | ||||
\(177\) | 105.114 | + | 2279.37i | 0.0446374 | + | 0.967952i | ||||
\(178\) | 230.778 | + | 861.274i | 0.0971770 | + | 0.362670i | ||||
\(179\) | 641.856 | 0.268015 | 0.134007 | − | 0.990980i | \(-0.457215\pi\) | ||||
0.134007 | + | 0.990980i | \(0.457215\pi\) | |||||||
\(180\) | 1318.19 | − | 1143.06i | 0.545846 | − | 0.473326i | ||||
\(181\) | −1243.05 | −0.510470 | −0.255235 | − | 0.966879i | \(-0.582153\pi\) | ||||
−0.255235 | + | 0.966879i | \(0.582153\pi\) | |||||||
\(182\) | 825.851 | + | 3082.12i | 0.336352 | + | 1.25528i | ||||
\(183\) | 1208.35 | − | 773.968i | 0.488106 | − | 0.312641i | ||||
\(184\) | 1365.29 | − | 788.248i | 0.547012 | − | 0.315817i | ||||
\(185\) | 2314.64 | − | 872.288i | 0.919869 | − | 0.346659i | ||||
\(186\) | 243.008 | − | 77.2750i | 0.0957968 | − | 0.0304628i | ||||
\(187\) | −368.494 | + | 98.7376i | −0.144101 | + | 0.0386118i | ||||
\(188\) | 1407.51 | + | 1407.51i | 0.546027 | + | 0.546027i | ||||
\(189\) | −1399.17 | − | 3308.90i | −0.538488 | − | 1.27348i | ||||
\(190\) | −64.2157 | + | 389.976i | −0.0245195 | + | 0.148904i | ||||
\(191\) | −3517.42 | − | 2030.79i | −1.33252 | − | 0.769332i | −0.346837 | − | 0.937925i | \(-0.612744\pi\) |
−0.985686 | + | 0.168593i | \(0.946078\pi\) | |||||||
\(192\) | −368.495 | + | 712.125i | −0.138509 | + | 0.267673i | ||||
\(193\) | −2470.21 | − | 661.892i | −0.921295 | − | 0.246860i | −0.233156 | − | 0.972439i | \(-0.574905\pi\) |
−0.688139 | + | 0.725579i | \(0.741572\pi\) | |||||||
\(194\) | −222.821 | − | 385.938i | −0.0824620 | − | 0.142828i | ||||
\(195\) | −4462.56 | + | 1920.92i | −1.63882 | + | 0.705436i | ||||
\(196\) | 903.736 | − | 1565.32i | 0.329350 | − | 0.570451i | ||||
\(197\) | 1350.59 | − | 1350.59i | 0.488454 | − | 0.488454i | −0.419364 | − | 0.907818i | \(-0.637747\pi\) |
0.907818 | + | 0.419364i | \(0.137747\pi\) | |||||||
\(198\) | −518.255 | + | 191.510i | −0.186014 | + | 0.0687373i | ||||
\(199\) | − | 4890.58i | − | 1.74213i | −0.491167 | − | 0.871065i | \(-0.663430\pi\) | ||
0.491167 | − | 0.871065i | \(-0.336570\pi\) | |||||||
\(200\) | 165.689 | − | 2561.16i | 0.0585800 | − | 0.905506i | ||||
\(201\) | 3307.92 | − | 3627.76i | 1.16081 | − | 1.27305i | ||||
\(202\) | 32.1890 | − | 120.131i | 0.0112119 | − | 0.0418435i | ||||
\(203\) | −1374.52 | + | 5129.78i | −0.475234 | + | 1.77360i | ||||
\(204\) | −562.109 | + | 616.459i | −0.192919 | + | 0.211572i | ||||
\(205\) | 314.031 | + | 3174.63i | 0.106990 | + | 1.08159i | ||||
\(206\) | − | 390.274i | − | 0.131999i | ||||||
\(207\) | 1944.59 | − | 718.582i | 0.652941 | − | 0.241280i | ||||
\(208\) | −925.239 | + | 925.239i | −0.308432 | + | 0.308432i | ||||
\(209\) | −162.915 | + | 282.177i | −0.0539190 | + | 0.0933905i | ||||
\(210\) | −2059.34 | − | 819.946i | −0.676706 | − | 0.269436i | ||||
\(211\) | −1481.97 | − | 2566.85i | −0.483522 | − | 0.837484i | 0.516299 | − | 0.856408i | \(-0.327309\pi\) |
−0.999821 | + | 0.0189240i | \(0.993976\pi\) | |||||||
\(212\) | −1341.64 | − | 359.492i | −0.434643 | − | 0.116462i | ||||
\(213\) | 269.073 | − | 519.991i | 0.0865568 | − | 0.167273i | ||||
\(214\) | −508.090 | − | 293.346i | −0.162301 | − | 0.0937043i | ||||
\(215\) | 1399.31 | + | 230.419i | 0.443871 | + | 0.0730903i | ||||
\(216\) | −1736.74 | + | 2298.14i | −0.547085 | + | 0.723927i | ||||
\(217\) | 596.365 | + | 596.365i | 0.186562 | + | 0.186562i | ||||
\(218\) | −1772.82 | + | 475.026i | −0.550782 | + | 0.147582i | ||||
\(219\) | −3319.55 | + | 1055.60i | −1.02427 | + | 0.325710i | ||||
\(220\) | 365.929 | − | 808.533i | 0.112141 | − | 0.247778i | ||||
\(221\) | 2011.82 | − | 1161.53i | 0.612353 | − | 0.353542i | ||||
\(222\) | −1442.40 | + | 923.882i | −0.436069 | + | 0.279310i | ||||
\(223\) | 605.443 | + | 2259.54i | 0.181809 | + | 0.678521i | 0.995291 | + | 0.0969311i | \(0.0309026\pi\) |
−0.813482 | + | 0.581590i | \(0.802431\pi\) | |||||||
\(224\) | −4803.09 | −1.43268 | ||||||||
\(225\) | 783.341 | − | 3282.83i | 0.232101 | − | 0.972692i | ||||
\(226\) | −138.887 | −0.0408787 | ||||||||
\(227\) | 530.537 | + | 1979.99i | 0.155123 | + | 0.578928i | 0.999095 | + | 0.0425397i | \(0.0135449\pi\) |
−0.843972 | + | 0.536388i | \(0.819788\pi\) | |||||||
\(228\) | 32.8239 | + | 711.779i | 0.00953427 | + | 0.206749i | ||||
\(229\) | −3464.76 | + | 2000.38i | −0.999815 | + | 0.577244i | −0.908194 | − | 0.418550i | \(-0.862538\pi\) |
−0.0916215 | + | 0.995794i | \(0.529205\pi\) | |||||||
\(230\) | 527.397 | − | 1165.30i | 0.151198 | − | 0.334077i | ||||
\(231\) | −1350.30 | − | 1231.25i | −0.384602 | − | 0.350694i | ||||
\(232\) | 4113.14 | − | 1102.11i | 1.16397 | − | 0.311885i | ||||
\(233\) | −4906.70 | − | 4906.70i | −1.37961 | − | 1.37961i | −0.845271 | − | 0.534337i | \(-0.820561\pi\) |
−0.534337 | − | 0.845271i | \(-0.679439\pi\) | |||||||
\(234\) | 2746.49 | − | 1943.23i | 0.767280 | − | 0.542876i | ||||
\(235\) | 3799.20 | + | 625.598i | 1.05461 | + | 0.173657i | ||||
\(236\) | 2198.08 | + | 1269.06i | 0.606283 | + | 0.350038i | ||||
\(237\) | 927.556 | + | 1448.13i | 0.254225 | + | 0.396904i | ||||
\(238\) | 1023.74 | + | 274.310i | 0.278820 | + | 0.0747096i | ||||
\(239\) | 2501.24 | + | 4332.28i | 0.676954 | + | 1.17252i | 0.975894 | + | 0.218247i | \(0.0700339\pi\) |
−0.298939 | + | 0.954272i | \(0.596633\pi\) | |||||||
\(240\) | −131.051 | − | 899.466i | −0.0352471 | − | 0.241918i | ||||
\(241\) | −1825.14 | + | 3161.24i | −0.487834 | + | 0.844952i | −0.999902 | − | 0.0139921i | \(-0.995546\pi\) |
0.512069 | + | 0.858945i | \(0.328879\pi\) | |||||||
\(242\) | 1203.61 | − | 1203.61i | 0.319715 | − | 0.319715i | ||||
\(243\) | −2761.25 | + | 2593.14i | −0.728948 | + | 0.684569i | ||||
\(244\) | − | 1596.17i | − | 0.418788i | ||||||
\(245\) | −344.169 | − | 3479.31i | −0.0897477 | − | 0.907285i | ||||
\(246\) | −669.458 | − | 2105.25i | −0.173508 | − | 0.545634i | ||||
\(247\) | 513.524 | − | 1916.50i | 0.132286 | − | 0.493700i | ||||
\(248\) | 175.024 | − | 653.199i | 0.0448147 | − | 0.167251i | ||||
\(249\) | 7615.15 | + | 1668.68i | 1.93811 | + | 0.424692i | ||||
\(250\) | −1101.86 | − | 1766.93i | −0.278752 | − | 0.447003i | ||||
\(251\) | 3563.08i | 0.896013i | 0.894030 | + | 0.448007i | \(0.147866\pi\) | ||||
−0.894030 | + | 0.448007i | \(0.852134\pi\) | |||||||
\(252\) | −3938.79 | − | 674.637i | −0.984605 | − | 0.168643i | ||||
\(253\) | 745.643 | − | 745.643i | 0.185289 | − | 0.185289i | ||||
\(254\) | 415.847 | − | 720.268i | 0.102727 | − | 0.177928i | ||||
\(255\) | −188.569 | + | 1602.70i | −0.0463083 | + | 0.393587i | ||||
\(256\) | 1563.86 | + | 2708.69i | 0.381803 | + | 0.661302i | ||||
\(257\) | −6663.08 | − | 1785.37i | −1.61724 | − | 0.433339i | −0.667053 | − | 0.745010i | \(-0.732444\pi\) |
−0.950190 | + | 0.311672i | \(0.899111\pi\) | |||||||
\(258\) | −981.017 | + | 45.2399i | −0.236727 | + | 0.0109167i | ||||
\(259\) | −4906.30 | − | 2832.66i | −1.17708 | − | 0.679586i | ||||
\(260\) | −878.067 | + | 5332.42i | −0.209444 | + | 1.27193i | ||||
\(261\) | 5575.88 | − | 515.362i | 1.32237 | − | 0.122223i | ||||
\(262\) | 688.785 | + | 688.785i | 0.162417 | + | 0.162417i | ||||
\(263\) | 4933.33 | − | 1321.88i | 1.15666 | − | 0.309927i | 0.371030 | − | 0.928621i | \(-0.379005\pi\) |
0.785632 | + | 0.618694i | \(0.212338\pi\) | |||||||
\(264\) | −313.626 | + | 1431.26i | −0.0731149 | + | 0.333666i | ||||
\(265\) | −2514.15 | + | 947.474i | −0.582804 | + | 0.219634i | ||||
\(266\) | 783.937 | − | 452.607i | 0.180700 | − | 0.104327i | ||||
\(267\) | 2761.68 | + | 1429.05i | 0.633003 | + | 0.327553i | ||||
\(268\) | −1413.41 | − | 5274.93i | −0.322157 | − | 1.20230i | ||||
\(269\) | 6950.52 | 1.57539 | 0.787696 | − | 0.616064i | \(-0.211274\pi\) | ||||
0.787696 | + | 0.616064i | \(0.211274\pi\) | |||||||
\(270\) | −58.3139 | + | 2336.43i | −0.0131440 | + | 0.526632i | ||||
\(271\) | −5694.64 | −1.27648 | −0.638238 | − | 0.769839i | \(-0.720336\pi\) | ||||
−0.638238 | + | 0.769839i | \(0.720336\pi\) | |||||||
\(272\) | 112.488 | + | 419.810i | 0.0250756 | + | 0.0935836i | ||||
\(273\) | 9882.82 | + | 5113.94i | 2.19097 | + | 1.13374i | ||||
\(274\) | 13.2219 | − | 7.63368i | 0.00291520 | − | 0.00168309i | ||||
\(275\) | −336.339 | − | 1683.44i | −0.0737527 | − | 0.369146i | ||||
\(276\) | 493.596 | − | 2252.56i | 0.107648 | − | 0.491262i | ||||
\(277\) | −2770.99 | + | 742.484i | −0.601056 | + | 0.161052i | −0.546501 | − | 0.837458i | \(-0.684041\pi\) |
−0.0545548 | + | 0.998511i | \(0.517374\pi\) | |||||||
\(278\) | −1746.41 | − | 1746.41i | −0.376772 | − | 0.376772i | ||||
\(279\) | 371.868 | − | 807.781i | 0.0797962 | − | 0.173335i | ||||
\(280\) | −4776.65 | + | 3425.96i | −1.01950 | + | 0.731215i | ||||
\(281\) | 5092.45 | + | 2940.13i | 1.08110 | + | 0.624176i | 0.931194 | − | 0.364524i | \(-0.118768\pi\) |
0.149910 | + | 0.988700i | \(0.452102\pi\) | |||||||
\(282\) | −2663.51 | + | 122.828i | −0.562446 | + | 0.0259373i | ||||
\(283\) | 1756.05 | + | 470.532i | 0.368856 | + | 0.0988348i | 0.438486 | − | 0.898738i | \(-0.355515\pi\) |
−0.0696293 | + | 0.997573i | \(0.522182\pi\) | |||||||
\(284\) | −325.628 | − | 564.005i | −0.0680369 | − | 0.117843i | ||||
\(285\) | 854.041 | + | 1081.81i | 0.177505 | + | 0.224845i | ||||
\(286\) | 855.664 | − | 1482.05i | 0.176911 | − | 0.306418i | ||||
\(287\) | 5166.49 | − | 5166.49i | 1.06261 | − | 1.06261i | ||||
\(288\) | 1755.41 | + | 4750.42i | 0.359162 | + | 0.971948i | ||||
\(289\) | 4141.39i | 0.842945i | ||||||||
\(290\) | 2190.65 | − | 2671.62i | 0.443585 | − | 0.540976i | ||||
\(291\) | −1518.09 | − | 332.653i | −0.305814 | − | 0.0670119i | ||||
\(292\) | −1002.84 | + | 3742.63i | −0.200981 | + | 0.750072i | ||||
\(293\) | 1783.36 | − | 6655.60i | 0.355581 | − | 1.32705i | −0.524172 | − | 0.851613i | \(-0.675625\pi\) |
0.879752 | − | 0.475432i | \(-0.157708\pi\) | |||||||
\(294\) | 733.707 | + | 2307.30i | 0.145547 | + | 0.457703i | ||||
\(295\) | 4885.78 | − | 483.296i | 0.964275 | − | 0.0953850i | ||||
\(296\) | 4542.54i | 0.891992i | ||||||||
\(297\) | −724.246 | + | 1785.48i | −0.141498 | + | 0.348836i | ||||
\(298\) | 1609.24 | − | 1609.24i | 0.312822 | − | 0.312822i | ||||
\(299\) | −3210.62 | + | 5560.96i | −0.620987 | + | 1.07558i | ||||
\(300\) | −2604.97 | − | 2703.29i | −0.501326 | − | 0.520248i | ||||
\(301\) | −1624.04 | − | 2812.92i | −0.310991 | − | 0.538652i | ||||
\(302\) | −630.912 | − | 169.052i | −0.120215 | − | 0.0322115i | ||||
\(303\) | −233.931 | − | 365.221i | −0.0443531 | − | 0.0692455i | ||||
\(304\) | 321.473 | + | 185.603i | 0.0606505 | + | 0.0350166i | ||||
\(305\) | −1799.49 | − | 2508.95i | −0.337832 | − | 0.471022i | ||||
\(306\) | −102.850 | − | 1112.77i | −0.0192141 | − | 0.207884i | ||||
\(307\) | −1580.63 | − | 1580.63i | −0.293848 | − | 0.293848i | 0.544750 | − | 0.838598i | \(-0.316624\pi\) |
−0.838598 | + | 0.544750i | \(0.816624\pi\) | |||||||
\(308\) | −1963.40 | + | 526.091i | −0.363230 | + | 0.0973273i | ||||
\(309\) | −1005.70 | − | 917.031i | −0.185153 | − | 0.168829i | ||||
\(310\) | −193.486 | − | 513.421i | −0.0354493 | − | 0.0940657i | ||||
\(311\) | −1301.03 | + | 751.148i | −0.237217 | + | 0.136957i | −0.613897 | − | 0.789386i | \(-0.710399\pi\) |
0.376680 | + | 0.926343i | \(0.377066\pi\) | |||||||
\(312\) | −411.015 | − | 8912.78i | −0.0745806 | − | 1.61727i | ||||
\(313\) | −1012.40 | − | 3778.34i | −0.182825 | − | 0.682314i | −0.995086 | − | 0.0990184i | \(-0.968430\pi\) |
0.812260 | − | 0.583295i | \(-0.198237\pi\) | |||||||
\(314\) | −2271.14 | −0.408178 | ||||||||
\(315\) | −6951.78 | + | 3380.09i | −1.24346 | + | 0.604593i | ||||
\(316\) | 1912.92 | 0.340538 | ||||||||
\(317\) | −998.390 | − | 3726.04i | −0.176893 | − | 0.660175i | −0.996221 | − | 0.0868500i | \(-0.972320\pi\) |
0.819328 | − | 0.573325i | \(-0.194347\pi\) | |||||||
\(318\) | 1566.72 | − | 1003.52i | 0.276281 | − | 0.176963i | ||||
\(319\) | 2466.68 | − | 1424.14i | 0.432940 | − | 0.249958i | ||||
\(320\) | 1571.76 | + | 711.351i | 0.274574 | + | 0.124268i | ||||
\(321\) | −1949.79 | + | 620.020i | −0.339024 | + | 0.107807i | ||||
\(322\) | −2829.76 | + | 758.232i | −0.489740 | + | 0.131225i | ||||
\(323\) | −466.004 | − | 466.004i | −0.0802761 | − | 0.0802761i | ||||
\(324\) | 772.293 | + | 4142.16i | 0.132423 | + | 0.710247i | ||||
\(325\) | 4631.48 | + | 9371.71i | 0.790488 | + | 1.59953i | ||||
\(326\) | 2458.39 | + | 1419.35i | 0.417661 | + | 0.241136i | ||||
\(327\) | −2941.52 | + | 5684.56i | −0.497451 | + | 0.961335i | ||||
\(328\) | −5658.87 | − | 1516.29i | −0.952618 | − | 0.255253i | ||||
\(329\) | −4409.35 | − | 7637.22i | −0.738892 | − | 1.27980i | ||||
\(330\) | 470.028 | + | 1091.94i | 0.0784067 | + | 0.182149i | ||||
\(331\) | −3448.09 | + | 5972.26i | −0.572580 | + | 0.991738i | 0.423720 | + | 0.905793i | \(0.360724\pi\) |
−0.996300 | + | 0.0859446i | \(0.972609\pi\) | |||||||
\(332\) | 6131.76 | − | 6131.76i | 1.01363 | − | 1.01363i | ||||
\(333\) | −1008.46 | + | 5887.76i | −0.165955 | + | 0.968912i | ||||
\(334\) | − | 176.018i | − | 0.0288362i | ||||||
\(335\) | −8168.54 | − | 6697.97i | −1.33222 | − | 1.09238i | ||||
\(336\) | −1402.71 | + | 1538.34i | −0.227751 | + | 0.249772i | ||||
\(337\) | 1772.28 | − | 6614.22i | 0.286475 | − | 1.06914i | −0.661280 | − | 0.750139i | \(-0.729987\pi\) |
0.947755 | − | 0.318999i | \(-0.103347\pi\) | |||||||
\(338\) | −1849.88 | + | 6903.85i | −0.297693 | + | 1.11101i | ||||
\(339\) | −326.343 | + | 357.897i | −0.0522847 | + | 0.0573401i | ||||
\(340\) | 1388.07 | + | 1138.17i | 0.221407 | + | 0.181548i | ||||
\(341\) | − | 452.329i | − | 0.0718329i | ||||||
\(342\) | −734.153 | − | 609.924i | −0.116077 | − | 0.0964354i | ||||
\(343\) | 548.319 | − | 548.319i | 0.0863162 | − | 0.0863162i | ||||
\(344\) | −1302.18 | + | 2255.45i | −0.204096 | + | 0.353504i | ||||
\(345\) | −1763.64 | − | 4097.17i | −0.275221 | − | 0.639375i | ||||
\(346\) | −366.172 | − | 634.229i | −0.0568946 | − | 0.0985444i | ||||
\(347\) | −260.095 | − | 69.6922i | −0.0402381 | − | 0.0107818i | 0.238644 | − | 0.971107i | \(-0.423297\pi\) |
−0.278882 | + | 0.960325i | \(0.589964\pi\) | |||||||
\(348\) | 2862.56 | − | 5531.96i | 0.440946 | − | 0.852138i | ||||
\(349\) | −8184.76 | − | 4725.48i | −1.25536 | − | 0.724782i | −0.283190 | − | 0.959064i | \(-0.591393\pi\) |
−0.972169 | + | 0.234282i | \(0.924726\pi\) | |||||||
\(350\) | −1529.22 | + | 4517.50i | −0.233544 | + | 0.689916i | ||||
\(351\) | 1445.93 | − | 11643.5i | 0.219881 | − | 1.77060i | ||||
\(352\) | 1821.52 | + | 1821.52i | 0.275816 | + | 0.275816i | ||||
\(353\) | 342.585 | − | 91.7954i | 0.0516543 | − | 0.0138407i | −0.232899 | − | 0.972501i | \(-0.574821\pi\) |
0.284554 | + | 0.958660i | \(0.408155\pi\) | |||||||
\(354\) | −3240.00 | + | 1030.30i | −0.486452 | + | 0.154689i | ||||
\(355\) | −1147.69 | − | 519.426i | −0.171586 | − | 0.0776570i | ||||
\(356\) | 2995.44 | − | 1729.42i | 0.445949 | − | 0.257469i | ||||
\(357\) | 3112.36 | − | 1993.53i | 0.461411 | − | 0.295542i | ||||
\(358\) | 247.526 | + | 923.781i | 0.0365424 | + | 0.136378i | ||||
\(359\) | 2385.59 | 0.350715 | 0.175358 | − | 0.984505i | \(-0.443892\pi\) | ||||
0.175358 | + | 0.984505i | \(0.443892\pi\) | |||||||
\(360\) | 5134.14 | + | 3472.16i | 0.751647 | + | 0.508330i | ||||
\(361\) | 6296.13 | 0.917937 | ||||||||
\(362\) | −479.371 | − | 1789.04i | −0.0695999 | − | 0.259750i | ||||
\(363\) | −273.450 | − | 5929.71i | −0.0395383 | − | 0.857381i | ||||
\(364\) | 10719.3 | − | 6188.81i | 1.54353 | − | 0.891159i | ||||
\(365\) | 2643.07 | + | 7013.46i | 0.379026 | + | 1.00576i | ||||
\(366\) | 1579.91 | + | 1440.62i | 0.225637 | + | 0.205744i | ||||
\(367\) | 3206.46 | − | 859.169i | 0.456065 | − | 0.122202i | −0.0234708 | − | 0.999725i | \(-0.507472\pi\) |
0.479536 | + | 0.877522i | \(0.340805\pi\) | |||||||
\(368\) | −849.482 | − | 849.482i | −0.120332 | − | 0.120332i | ||||
\(369\) | −6998.06 | − | 3221.61i | −0.987275 | − | 0.454499i | ||||
\(370\) | 2148.05 | + | 2994.92i | 0.301815 | + | 0.420806i | ||||
\(371\) | 5329.20 | + | 3076.82i | 0.745764 | + | 0.430567i | ||||
\(372\) | −533.521 | − | 832.951i | −0.0743596 | − | 0.116093i | ||||
\(373\) | 10590.5 | + | 2837.71i | 1.47012 | + | 0.393917i | 0.902971 | − | 0.429701i | \(-0.141381\pi\) |
0.567145 | + | 0.823618i | \(0.308048\pi\) | |||||||
\(374\) | −284.213 | − | 492.271i | −0.0392949 | − | 0.0680608i | ||||
\(375\) | −7142.27 | − | 1312.38i | −0.983534 | − | 0.180723i | ||||
\(376\) | −3535.49 | + | 6123.65i | −0.484917 | + | 0.839901i | ||||
\(377\) | −12264.3 | + | 12264.3i | −1.67544 | + | 1.67544i | ||||
\(378\) | 4222.70 | − | 3289.77i | 0.574583 | − | 0.447640i | ||||
\(379\) | 1340.48i | 0.181677i | 0.995866 | + | 0.0908385i | \(0.0289547\pi\) | ||||
−0.995866 | + | 0.0908385i | \(0.971045\pi\) | |||||||
\(380\) | 1525.69 | − | 150.919i | 0.205963 | − | 0.0203737i | ||||
\(381\) | −878.940 | − | 2764.02i | −0.118188 | − | 0.371666i | ||||
\(382\) | 1566.31 | − | 5845.55i | 0.209789 | − | 0.782943i | ||||
\(383\) | −3683.28 | + | 13746.2i | −0.491401 | + | 1.83394i | 0.0579162 | + | 0.998321i | \(0.481554\pi\) |
−0.549318 | + | 0.835614i | \(0.685112\pi\) | |||||||
\(384\) | 6449.39 | + | 1413.23i | 0.857081 | + | 0.187809i | ||||
\(385\) | −2493.07 | + | 3040.44i | −0.330022 | + | 0.402481i | ||||
\(386\) | − | 3810.47i | − | 0.502455i | ||||||
\(387\) | −2188.53 | + | 2634.28i | −0.287465 | + | 0.346016i | ||||
\(388\) | −1222.37 | + | 1222.37i | −0.159940 | + | 0.159940i | ||||
\(389\) | −5939.24 | + | 10287.1i | −0.774116 | + | 1.34081i | 0.161174 | + | 0.986926i | \(0.448472\pi\) |
−0.935290 | + | 0.353883i | \(0.884861\pi\) | |||||||
\(390\) | −4485.60 | − | 5681.88i | −0.582403 | − | 0.737726i | ||||
\(391\) | 1066.42 | + | 1847.10i | 0.137932 | + | 0.238905i | ||||
\(392\) | 6201.96 | + | 1661.81i | 0.799098 | + | 0.214118i | ||||
\(393\) | 3393.38 | − | 156.486i | 0.435555 | − | 0.0200857i | ||||
\(394\) | 2464.66 | + | 1422.97i | 0.315146 | + | 0.181950i | ||||
\(395\) | 3006.83 | − | 2156.59i | 0.383012 | − | 0.274708i | ||||
\(396\) | 1237.89 | + | 1749.59i | 0.157087 | + | 0.222021i | ||||
\(397\) | 1019.37 | + | 1019.37i | 0.128869 | + | 0.128869i | 0.768599 | − | 0.639731i | \(-0.220954\pi\) |
−0.639731 | + | 0.768599i | \(0.720954\pi\) | |||||||
\(398\) | 7038.68 | − | 1886.01i | 0.886476 | − | 0.237530i | ||||
\(399\) | 675.703 | − | 3083.62i | 0.0847806 | − | 0.386903i | ||||
\(400\) | −1917.87 | + | 383.177i | −0.239734 | + | 0.0478972i | ||||
\(401\) | 8126.77 | − | 4691.99i | 1.01205 | − | 0.584306i | 0.100257 | − | 0.994962i | \(-0.468033\pi\) |
0.911791 | + | 0.410655i | \(0.134700\pi\) | |||||||
\(402\) | 6496.86 | + | 3361.85i | 0.806055 | + | 0.417100i | ||||
\(403\) | 712.893 | + | 2660.55i | 0.0881184 | + | 0.328862i | ||||
\(404\) | −482.440 | −0.0594116 | ||||||||
\(405\) | 5883.73 | + | 5640.20i | 0.721888 | + | 0.692009i | ||||
\(406\) | −7913.02 | −0.967283 | ||||||||
\(407\) | 786.408 | + | 2934.92i | 0.0957760 | + | 0.357441i | ||||
\(408\) | −2632.06 | − | 1361.98i | −0.319378 | − | 0.165265i | ||||
\(409\) | 2717.07 | − | 1568.70i | 0.328485 | − | 0.189651i | −0.326683 | − | 0.945134i | \(-0.605931\pi\) |
0.655168 | + | 0.755483i | \(0.272598\pi\) | |||||||
\(410\) | −4447.93 | + | 1676.23i | −0.535775 | + | 0.201910i | ||||
\(411\) | 11.3964 | − | 52.0085i | 0.00136775 | − | 0.00624183i | ||||
\(412\) | −1462.33 | + | 391.830i | −0.174864 | + | 0.0468546i | ||||
\(413\) | −7951.27 | − | 7951.27i | −0.947353 | − | 0.947353i | ||||
\(414\) | 1784.12 | + | 2521.61i | 0.211799 | + | 0.299349i | ||||
\(415\) | 2725.39 | − | 16551.1i | 0.322372 | − | 1.95773i | ||||
\(416\) | −13584.8 | − | 7843.18i | −1.60108 | − | 0.924383i | ||||
\(417\) | −8603.88 | + | 396.770i | −1.01039 | + | 0.0465946i | ||||
\(418\) | −468.946 | − | 125.654i | −0.0548729 | − | 0.0147032i | ||||
\(419\) | 1590.40 | + | 2754.66i | 0.185433 | + | 0.321179i | 0.943722 | − | 0.330739i | \(-0.107298\pi\) |
−0.758290 | + | 0.651918i | \(0.773965\pi\) | |||||||
\(420\) | −1004.73 | + | 8539.44i | −0.116728 | + | 0.992100i | ||||
\(421\) | 1402.60 | − | 2429.37i | 0.162372 | − | 0.281236i | −0.773347 | − | 0.633983i | \(-0.781419\pi\) |
0.935719 | + | 0.352747i | \(0.114752\pi\) | |||||||
\(422\) | 3122.79 | − | 3122.79i | 0.360225 | − | 0.360225i | ||||
\(423\) | −5941.96 | + | 7152.21i | −0.682997 | + | 0.822110i | ||||
\(424\) | − | 4934.08i | − | 0.565142i | ||||||
\(425\) | 3465.00 | + | 224.161i | 0.395475 | + | 0.0255845i | ||||
\(426\) | 852.154 | + | 186.729i | 0.0969178 | + | 0.0212372i | ||||
\(427\) | −1830.27 | + | 6830.64i | −0.207430 | + | 0.774141i | ||||
\(428\) | −589.032 | + | 2198.30i | −0.0665232 | + | 0.248268i | ||||
\(429\) | −1808.54 | − | 5687.36i | −0.203537 | − | 0.640066i | ||||
\(430\) | 208.006 | + | 2102.79i | 0.0233278 | + | 0.235827i | ||||
\(431\) | 14909.0i | 1.66623i | 0.553103 | + | 0.833113i | \(0.313444\pi\) | ||||
−0.553103 | + | 0.833113i | \(0.686556\pi\) | |||||||
\(432\) | 2034.13 | + | 825.105i | 0.226544 | + | 0.0918932i | ||||
\(433\) | 3778.79 | − | 3778.79i | 0.419393 | − | 0.419393i | −0.465602 | − | 0.884994i | \(-0.654162\pi\) |
0.884994 | + | 0.465602i | \(0.154162\pi\) | |||||||
\(434\) | −628.325 | + | 1088.29i | −0.0694944 | + | 0.120368i | ||||
\(435\) | −1737.11 | − | 11922.6i | −0.191467 | − | 1.31413i | ||||
\(436\) | 3559.78 | + | 6165.72i | 0.391015 | + | 0.677258i | ||||
\(437\) | 1759.58 | + | 471.478i | 0.192613 | + | 0.0516106i | ||||
\(438\) | −2799.40 | − | 4370.52i | −0.305390 | − | 0.476784i | ||||
\(439\) | 1424.98 | + | 822.711i | 0.154921 | + | 0.0894438i | 0.575457 | − | 0.817832i | \(-0.304824\pi\) |
−0.420535 | + | 0.907276i | \(0.638158\pi\) | |||||||
\(440\) | 3110.75 | + | 512.234i | 0.337044 | + | 0.0554995i | ||||
\(441\) | 7669.69 | + | 3530.80i | 0.828170 | + | 0.381254i | ||||
\(442\) | 2447.55 | + | 2447.55i | 0.263389 | + | 0.263389i | ||||
\(443\) | −6607.83 | + | 1770.56i | −0.708685 | + | 0.189891i | −0.595117 | − | 0.803639i | \(-0.702894\pi\) |
−0.113567 | + | 0.993530i | \(0.536228\pi\) | |||||||
\(444\) | 4909.87 | + | 4476.99i | 0.524802 | + | 0.478533i | ||||
\(445\) | 2758.68 | − | 6095.39i | 0.293874 | − | 0.649324i | ||||
\(446\) | −3018.53 | + | 1742.75i | −0.320474 | + | 0.185026i | ||||
\(447\) | −365.607 | − | 7928.12i | −0.0386860 | − | 0.838897i | ||||
\(448\) | −1022.70 | − | 3816.77i | −0.107853 | − | 0.402512i | ||||
\(449\) | 7775.18 | 0.817224 | 0.408612 | − | 0.912708i | \(-0.366013\pi\) | ||||
0.408612 | + | 0.912708i | \(0.366013\pi\) | |||||||
\(450\) | 5026.85 | − | 138.586i | 0.526596 | − | 0.0145178i | ||||
\(451\) | −3918.67 | −0.409142 | ||||||||
\(452\) | 139.440 | + | 520.399i | 0.0145104 | + | 0.0541537i | ||||
\(453\) | −1918.09 | + | 1228.57i | −0.198940 | + | 0.127425i | ||||
\(454\) | −2645.07 | + | 1527.13i | −0.273435 | + | 0.157868i | ||||
\(455\) | 9872.08 | − | 21812.7i | 1.01717 | − | 2.24746i | ||||
\(456\) | −2412.14 | + | 767.046i | −0.247717 | + | 0.0787724i | ||||
\(457\) | 2300.05 | − | 616.297i | 0.235431 | − | 0.0630834i | −0.139175 | − | 0.990268i | \(-0.544445\pi\) |
0.374605 | + | 0.927184i | \(0.377778\pi\) | |||||||
\(458\) | −4215.17 | − | 4215.17i | −0.430048 | − | 0.430048i | ||||
\(459\) | −3109.15 | − | 2349.64i | −0.316172 | − | 0.238937i | ||||
\(460\) | −4895.81 | − | 806.173i | −0.496236 | − | 0.0817130i | ||||
\(461\) | −7507.21 | − | 4334.29i | −0.758451 | − | 0.437892i | 0.0702886 | − | 0.997527i | \(-0.477608\pi\) |
−0.828739 | + | 0.559635i | \(0.810941\pi\) | |||||||
\(462\) | 1251.33 | − | 2418.22i | 0.126011 | − | 0.243519i | ||||
\(463\) | −4939.17 | − | 1323.45i | −0.495772 | − | 0.132842i | 0.00226497 | − | 0.999997i | \(-0.499279\pi\) |
−0.498037 | + | 0.867156i | \(0.665946\pi\) | |||||||
\(464\) | −1622.47 | − | 2810.20i | −0.162330 | − | 0.281164i | ||||
\(465\) | −1777.67 | − | 707.795i | −0.177285 | − | 0.0705876i | ||||
\(466\) | 5169.66 | − | 8954.12i | 0.513906 | − | 0.890111i | ||||
\(467\) | −4104.76 | + | 4104.76i | −0.406736 | + | 0.406736i | −0.880599 | − | 0.473863i | \(-0.842859\pi\) |
0.473863 | + | 0.880599i | \(0.342859\pi\) | |||||||
\(468\) | −10038.6 | − | 8339.92i | −0.991526 | − | 0.823746i | ||||
\(469\) | 24194.2i | 2.38206i | ||||||||
\(470\) | 564.747 | + | 5709.19i | 0.0554251 | + | 0.560309i | ||||
\(471\) | −5336.52 | + | 5852.50i | −0.522068 | + | 0.572546i | ||||
\(472\) | −2333.58 | + | 8709.04i | −0.227567 | + | 0.849292i | ||||
\(473\) | −450.870 | + | 1682.67i | −0.0438288 | + | 0.163571i | ||||
\(474\) | −1726.49 | + | 1893.43i | −0.167301 | + | 0.183477i | ||||
\(475\) | 2228.01 | − | 1957.25i | 0.215217 | − | 0.189063i | ||||
\(476\) | − | 4111.29i | − | 0.395883i | ||||||
\(477\) | 1095.38 | − | 6395.26i | 0.105145 | − | 0.613876i | ||||
\(478\) | −5270.58 | + | 5270.58i | −0.504332 | + | 0.504332i | ||||
\(479\) | 7608.37 | − | 13178.1i | 0.725752 | − | 1.25704i | −0.232912 | − | 0.972498i | \(-0.574825\pi\) |
0.958664 | − | 0.284541i | \(-0.0918413\pi\) | |||||||
\(480\) | 10008.9 | − | 4308.37i | 0.951755 | − | 0.409686i | ||||
\(481\) | −9251.13 | − | 16023.4i | −0.876955 | − | 1.51893i | ||||
\(482\) | −5253.62 | − | 1407.70i | −0.496464 | − | 0.133027i | ||||
\(483\) | −4695.22 | + | 9073.63i | −0.442319 | + | 0.854792i | ||||
\(484\) | −5718.25 | − | 3301.43i | −0.537026 | − | 0.310052i | ||||
\(485\) | −543.310 | + | 3299.47i | −0.0508669 | + | 0.308910i | ||||
\(486\) | −4796.99 | − | 2974.06i | −0.447728 | − | 0.277585i | ||||
\(487\) | 1399.75 | + | 1399.75i | 0.130244 | + | 0.130244i | 0.769223 | − | 0.638980i | \(-0.220643\pi\) |
−0.638980 | + | 0.769223i | \(0.720643\pi\) | |||||||
\(488\) | 5476.92 | − | 1467.54i | 0.508050 | − | 0.136132i | ||||
\(489\) | 9434.01 | − | 2999.96i | 0.872435 | − | 0.277429i | ||||
\(490\) | 4874.81 | − | 1837.11i | 0.449432 | − | 0.169371i | ||||
\(491\) | −10186.1 | + | 5880.94i | −0.936235 | + | 0.540536i | −0.888778 | − | 0.458338i | \(-0.848445\pi\) |
−0.0474571 | + | 0.998873i | \(0.515112\pi\) | |||||||
\(492\) | −7216.12 | + | 4622.06i | −0.661235 | + | 0.423534i | ||||
\(493\) | 1491.05 | + | 5564.68i | 0.136214 | + | 0.508358i | ||||
\(494\) | 2956.32 | 0.269254 | ||||||||
\(495\) | 3918.25 | + | 1354.52i | 0.355782 | + | 0.122992i | ||||
\(496\) | −515.321 | −0.0466504 | ||||||||
\(497\) | 746.771 | + | 2786.99i | 0.0673989 | + | 0.251536i | ||||
\(498\) | 535.098 | + | 11603.5i | 0.0481492 | + | 1.04411i | ||||
\(499\) | −13118.8 | + | 7574.16i | −1.17691 | + | 0.679491i | −0.955298 | − | 0.295644i | \(-0.904466\pi\) |
−0.221614 | + | 0.975134i | \(0.571133\pi\) | |||||||
\(500\) | −5514.32 | + | 5902.59i | −0.493216 | + | 0.527943i | ||||
\(501\) | −453.582 | − | 413.592i | −0.0404482 | − | 0.0368821i | ||||
\(502\) | −5128.10 | + | 1374.07i | −0.455933 | + | 0.122167i | ||||
\(503\) | 10418.9 | + | 10418.9i | 0.923572 | + | 0.923572i | 0.997280 | − | 0.0737075i | \(-0.0234831\pi\) |
−0.0737075 | + | 0.997280i | \(0.523483\pi\) | |||||||
\(504\) | −1306.49 | − | 14135.4i | −0.115468 | − | 1.24929i | ||||
\(505\) | −758.326 | + | 543.895i | −0.0668219 | + | 0.0479267i | ||||
\(506\) | 1360.71 | + | 785.604i | 0.119547 | + | 0.0690205i | ||||
\(507\) | 13443.9 | + | 20989.0i | 1.17764 | + | 1.83857i | ||||
\(508\) | −3116.30 | − | 835.011i | −0.272172 | − | 0.0729284i | ||||
\(509\) | −5758.26 | − | 9973.60i | −0.501435 | − | 0.868511i | −0.999999 | − | 0.00165784i | \(-0.999472\pi\) |
0.498564 | − | 0.866853i | \(-0.333861\pi\) | |||||||
\(510\) | −2379.37 | + | 346.672i | −0.206589 | + | 0.0300998i | ||||
\(511\) | 8583.07 | − | 14866.3i | 0.743038 | − | 1.28698i | ||||
\(512\) | 3892.45 | − | 3892.45i | 0.335983 | − | 0.335983i | ||||
\(513\) | −3296.76 | + | 458.696i | −0.283734 | + | 0.0394774i | ||||
\(514\) | − | 10278.2i | − | 0.882011i | ||||||
\(515\) | −1856.83 | + | 2264.51i | −0.158877 | + | 0.193759i | ||||
\(516\) | 1154.44 | + | 3630.38i | 0.0984910 | + | 0.309726i | ||||
\(517\) | −1224.13 | + | 4568.53i | −0.104134 | + | 0.388634i | ||||
\(518\) | 2184.78 | − | 8153.71i | 0.185316 | − | 0.691609i | ||||
\(519\) | −2494.74 | − | 546.664i | −0.210996 | − | 0.0462348i | ||||
\(520\) | −19104.4 | + | 1889.79i | −1.61112 | + | 0.159370i | ||||
\(521\) | − | 17652.9i | − | 1.48443i | −0.670162 | − | 0.742215i | \(-0.733775\pi\) | ||
0.670162 | − | 0.742215i | \(-0.266225\pi\) | |||||||
\(522\) | 2892.02 | + | 7826.24i | 0.242491 | + | 0.656217i | ||||
\(523\) | 3650.39 | − | 3650.39i | 0.305202 | − | 0.305202i | −0.537843 | − | 0.843045i | \(-0.680761\pi\) |
0.843045 | + | 0.537843i | \(0.180761\pi\) | |||||||
\(524\) | 1889.30 | − | 3272.36i | 0.157508 | − | 0.272813i | ||||
\(525\) | 8047.93 | + | 14555.5i | 0.669030 | + | 1.21001i | ||||
\(526\) | 3804.99 | + | 6590.44i | 0.315410 | + | 0.546306i | ||||
\(527\) | 883.714 | + | 236.791i | 0.0730459 | + | 0.0195726i | ||||
\(528\) | 1115.36 | − | 51.4353i | 0.0919317 | − | 0.00423946i | ||||
\(529\) | 5431.29 | + | 3135.76i | 0.446395 | + | 0.257726i | ||||
\(530\) | −2333.20 | − | 3253.06i | −0.191222 | − | 0.266611i | ||||
\(531\) | −4958.08 | + | 10770.1i | −0.405202 | + | 0.880191i | ||||
\(532\) | −2482.95 | − | 2482.95i | −0.202349 | − | 0.202349i | ||||
\(533\) | 23049.2 | − | 6176.01i | 1.87312 | − | 0.501900i | ||||
\(534\) | −991.721 | + | 4525.80i | −0.0803670 | + | 0.366761i | ||||
\(535\) | 1552.45 | + | 4119.46i | 0.125455 | + | 0.332897i | ||||
\(536\) | 16800.3 | − | 9699.66i | 1.35385 | − | 0.781645i | ||||
\(537\) | 2962.11 | + | 1532.77i | 0.238034 | + | 0.123173i | ||||
\(538\) | 2680.41 | + | 10003.4i | 0.214797 | + | 0.801632i | ||||
\(539\) | 4294.76 | 0.343207 | ||||||||
\(540\) | 8812.99 | − | 2127.25i | 0.702316 | − | 0.169523i | ||||
\(541\) | 572.214 | 0.0454739 | 0.0227370 | − | 0.999741i | \(-0.492762\pi\) | ||||
0.0227370 | + | 0.999741i | \(0.492762\pi\) | |||||||
\(542\) | −2196.09 | − | 8195.92i | −0.174041 | − | 0.649529i | ||||
\(543\) | −5736.55 | − | 2968.42i | −0.453368 | − | 0.234599i | ||||
\(544\) | −4512.25 | + | 2605.15i | −0.355627 | + | 0.205321i | ||||
\(545\) | 12546.6 | + | 5678.38i | 0.986122 | + | 0.446303i | ||||
\(546\) | −3548.93 | + | 16195.8i | −0.278169 | + | 1.26945i | ||||
\(547\) | 18801.1 | − | 5037.74i | 1.46961 | − | 0.393781i | 0.566812 | − | 0.823847i | \(-0.308177\pi\) |
0.902797 | + | 0.430066i | \(0.141510\pi\) | |||||||
\(548\) | −41.8775 | − | 41.8775i | −0.00326445 | − | 0.00326445i | ||||
\(549\) | 7424.65 | − | 686.239i | 0.577188 | − | 0.0533478i | ||||
\(550\) | 2293.15 | − | 1133.27i | 0.177783 | − | 0.0878599i | ||||
\(551\) | 4261.20 | + | 2460.21i | 0.329462 | + | 0.190215i | ||||
\(552\) | 8183.02 | − | 377.362i | 0.630964 | − | 0.0290971i | ||||
\(553\) | −8186.13 | − | 2193.47i | −0.629493 | − | 0.168672i | ||||
\(554\) | −2137.22 | − | 3701.77i | −0.163902 | − | 0.283886i | ||||
\(555\) | 12764.9 | + | 1501.88i | 0.976287 | + | 0.114867i | ||||
\(556\) | −4790.31 | + | 8297.06i | −0.365385 | + | 0.632866i | ||||
\(557\) | −7665.26 | + | 7665.26i | −0.583101 | + | 0.583101i | −0.935754 | − | 0.352653i | \(-0.885280\pi\) |
0.352653 | + | 0.935754i | \(0.385280\pi\) | |||||||
\(558\) | 1305.99 | + | 223.691i | 0.0990808 | + | 0.0169706i | ||||
\(559\) | − | 10607.9i | − | 0.802621i | ||||||
\(560\) | 3463.85 | + | 2840.25i | 0.261383 | + | 0.214326i | ||||
\(561\) | −1936.35 | − | 424.305i | −0.145727 | − | 0.0319326i | ||||
\(562\) | −2267.67 | + | 8463.06i | −0.170206 | + | 0.635218i | ||||
\(563\) | 1798.36 | − | 6711.58i | 0.134622 | − | 0.502415i | −0.865378 | − | 0.501121i | \(-0.832921\pi\) |
0.999999 | − | 0.00129433i | \(-0.000411998\pi\) | |||||||
\(564\) | 3134.36 | + | 9856.67i | 0.234008 | + | 0.735888i | ||||
\(565\) | 805.868 | + | 660.788i | 0.0600055 | + | 0.0492028i | ||||
\(566\) | 2708.82i | 0.201167i | ||||||||
\(567\) | 1444.70 | − | 18611.5i | 0.107005 | − | 1.37850i | ||||
\(568\) | 1635.88 | − | 1635.88i | 0.120845 | − | 0.120845i | ||||
\(569\) | 1142.29 | − | 1978.50i | 0.0841603 | − | 0.145770i | −0.820873 | − | 0.571111i | \(-0.806513\pi\) |
0.905033 | + | 0.425341i | \(0.139846\pi\) | |||||||
\(570\) | −1227.62 | + | 1646.35i | −0.0902094 | + | 0.120979i | ||||
\(571\) | 9342.12 | + | 16181.0i | 0.684686 | + | 1.18591i | 0.973535 | + | 0.228536i | \(0.0733939\pi\) |
−0.288850 | + | 0.957375i | \(0.593273\pi\) | |||||||
\(572\) | −6412.23 | − | 1718.15i | −0.468722 | − | 0.125594i | ||||
\(573\) | −11383.0 | − | 17771.6i | −0.829900 | − | 1.29567i | ||||
\(574\) | 9428.20 | + | 5443.38i | 0.685585 | + | 0.395823i | ||||
\(575\) | −8604.37 | + | 4252.27i | −0.624047 | + | 0.308403i | ||||
\(576\) | −3401.14 | + | 2406.42i | −0.246031 | + | 0.174075i | ||||
\(577\) | −17462.0 | − | 17462.0i | −1.25989 | − | 1.25989i | −0.951146 | − | 0.308740i | \(-0.900093\pi\) |
−0.308740 | − | 0.951146i | \(-0.599907\pi\) | |||||||
\(578\) | −5960.42 | + | 1597.09i | −0.428929 | + | 0.114931i | ||||
\(579\) | −9819.20 | − | 8953.49i | −0.704787 | − | 0.642650i | ||||
\(580\) | −12209.8 | − | 5525.95i | −0.874109 | − | 0.395608i | ||||
\(581\) | −33271.3 | + | 19209.2i | −2.37578 | + | 1.37165i | ||||
\(582\) | −106.672 | − | 2313.17i | −0.00759744 | − | 0.164749i | ||||
\(583\) | −854.193 | − | 3187.89i | −0.0606810 | − | 0.226465i | ||||
\(584\) | −13764.1 | −0.975277 | ||||||||
\(585\) | −25181.5 | − | 1791.81i | −1.77970 | − | 0.126636i | ||||
\(586\) | 10266.7 | 0.723743 | ||||||||
\(587\) | 5997.68 | + | 22383.6i | 0.421722 | + | 1.57389i | 0.770980 | + | 0.636860i | \(0.219767\pi\) |
−0.349258 | + | 0.937027i | \(0.613566\pi\) | |||||||
\(588\) | 7908.67 | − | 5065.65i | 0.554673 | − | 0.355279i | ||||
\(589\) | 676.712 | − | 390.700i | 0.0473403 | − | 0.0273319i | ||||
\(590\) | 2579.73 | + | 6845.40i | 0.180010 | + | 0.477662i | ||||
\(591\) | 9458.08 | − | 3007.61i | 0.658297 | − | 0.209334i | ||||
\(592\) | 3343.63 | − | 895.924i | 0.232133 | − | 0.0621997i | ||||
\(593\) | 13119.3 | + | 13119.3i | 0.908505 | + | 0.908505i | 0.996152 | − | 0.0876470i | \(-0.0279347\pi\) |
−0.0876470 | + | 0.996152i | \(0.527935\pi\) | |||||||
\(594\) | −2849.03 | − | 353.804i | −0.196796 | − | 0.0244389i | ||||
\(595\) | −4634.99 | − | 6462.34i | −0.319355 | − | 0.445261i | ||||
\(596\) | −7645.39 | − | 4414.07i | −0.525449 | − | 0.303368i | ||||
\(597\) | 11678.8 | − | 22569.6i | 0.800639 | − | 1.54725i | ||||
\(598\) | −9241.67 | − | 2476.30i | −0.631973 | − | 0.169337i | ||||
\(599\) | 3451.75 | + | 5978.61i | 0.235450 | + | 0.407812i | 0.959403 | − | 0.282037i | \(-0.0910102\pi\) |
−0.723953 | + | 0.689849i | \(0.757677\pi\) | |||||||
\(600\) | 6880.73 | − | 11423.8i | 0.468175 | − | 0.777293i | ||||
\(601\) | 9078.32 | − | 15724.1i | 0.616161 | − | 1.06722i | −0.374019 | − | 0.927421i | \(-0.622021\pi\) |
0.990180 | − | 0.139801i | \(-0.0446462\pi\) | |||||||
\(602\) | 3422.15 | − | 3422.15i | 0.231689 | − | 0.231689i | ||||
\(603\) | 23928.9 | − | 8842.40i | 1.61602 | − | 0.597165i | ||||
\(604\) | 2533.71i | 0.170688i | ||||||||
\(605\) | −12710.2 | + | 1257.28i | −0.854123 | + | 0.0844889i | ||||
\(606\) | 435.425 | − | 477.526i | 0.0291880 | − | 0.0320102i | ||||
\(607\) | 1987.32 | − | 7416.77i | 0.132888 | − | 0.495943i | −0.867110 | − | 0.498116i | \(-0.834025\pi\) |
0.999998 | + | 0.00217355i | \(0.000691863\pi\) | |||||||
\(608\) | −1151.76 | + | 4298.44i | −0.0768260 | + | 0.286719i | ||||
\(609\) | −18593.3 | + | 20391.1i | −1.23717 | + | 1.35679i | ||||
\(610\) | 2917.00 | − | 3557.44i | 0.193616 | − | 0.236126i | ||||
\(611\) | − | 28800.9i | − | 1.90697i | ||||||
\(612\) | −4066.20 | + | 1502.57i | −0.268572 | + | 0.0992450i | ||||
\(613\) | −13352.5 | + | 13352.5i | −0.879776 | + | 0.879776i | −0.993511 | − | 0.113735i | \(-0.963718\pi\) |
0.113735 | + | 0.993511i | \(0.463718\pi\) | |||||||
\(614\) | 1665.34 | − | 2884.45i | 0.109459 | − | 0.189588i | ||||
\(615\) | −6131.85 | + | 15400.5i | −0.402049 | + | 1.00977i | ||||
\(616\) | −3610.34 | − | 6253.29i | −0.236144 | − | 0.409013i | ||||
\(617\) | 11449.3 | + | 3067.84i | 0.747054 | + | 0.200172i | 0.612211 | − | 0.790695i | \(-0.290280\pi\) |
0.134843 | + | 0.990867i | \(0.456947\pi\) | |||||||
\(618\) | 931.983 | − | 1801.08i | 0.0606632 | − | 0.117233i | ||||
\(619\) | 6467.28 | + | 3733.89i | 0.419939 | + | 0.242452i | 0.695051 | − | 0.718960i | \(-0.255382\pi\) |
−0.275112 | + | 0.961412i | \(0.588715\pi\) | |||||||
\(620\) | −1729.50 | + | 1240.45i | −0.112029 | + | 0.0803510i | ||||
\(621\) | 10690.1 | + | 1327.54i | 0.690788 | + | 0.0857849i | ||||
\(622\) | −1582.81 | − | 1582.81i | −0.102033 | − | 0.102033i | ||||
\(623\) | −14801.7 | + | 3966.11i | −0.951875 | + | 0.255054i | ||||
\(624\) | −6479.38 | + | 2060.40i | −0.415677 | + | 0.132183i | ||||
\(625\) | −2013.23 | + | 15494.8i | −0.128847 | + | 0.991664i | ||||
\(626\) | 5047.48 | − | 2914.17i | 0.322265 | − | 0.186060i | ||||
\(627\) | −1425.68 | + | 913.177i | −0.0908075 | + | 0.0581639i | ||||
\(628\) | 2280.20 | + | 8509.81i | 0.144888 | + | 0.540730i | ||||
\(629\) | −6145.61 | −0.389573 | ||||||||
\(630\) | −7545.64 | − | 8701.73i | −0.477183 | − | 0.550294i | ||||
\(631\) | 2875.59 | 0.181419 | 0.0907094 | − | 0.995877i | \(-0.471087\pi\) | ||||
0.0907094 | + | 0.995877i | \(0.471087\pi\) | |||||||
\(632\) | 1758.76 | + | 6563.77i | 0.110696 | + | 0.413121i | ||||
\(633\) | −709.472 | − | 15384.7i | −0.0445481 | − | 0.966017i | ||||
\(634\) | 4977.63 | − | 2873.83i | 0.311809 | − | 0.180023i | ||||
\(635\) | −5839.75 | + | 2200.75i | −0.364950 | + | 0.137534i | ||||
\(636\) | −5333.08 | − | 4862.89i | −0.332500 | − | 0.303185i | ||||
\(637\) | −25261.3 | + | 6768.74i | −1.57125 | + | 0.421016i | ||||
\(638\) | 3000.93 | + | 3000.93i | 0.186219 | + | 0.186219i | ||||
\(639\) | 2483.50 | − | 1757.16i | 0.153749 | − | 0.108782i | ||||
\(640\) | 2308.18 | − | 14017.4i | 0.142561 | − | 0.865758i | ||||
\(641\) | 3459.55 | + | 1997.37i | 0.213173 | + | 0.123076i | 0.602785 | − | 0.797903i | \(-0.294058\pi\) |
−0.389612 | + | 0.920979i | \(0.627391\pi\) | |||||||
\(642\) | −1644.27 | − | 2567.09i | −0.101081 | − | 0.157812i | ||||
\(643\) | 16791.7 | + | 4499.32i | 1.02986 | + | 0.275950i | 0.733905 | − | 0.679252i | \(-0.237696\pi\) |
0.295955 | + | 0.955202i | \(0.404362\pi\) | |||||||
\(644\) | 5682.08 | + | 9841.66i | 0.347679 | + | 0.602198i | ||||
\(645\) | 5907.44 | + | 4404.94i | 0.360629 | + | 0.268906i | ||||
\(646\) | 490.978 | − | 850.399i | 0.0299029 | − | 0.0517934i | ||||
\(647\) | 7322.01 | − | 7322.01i | 0.444912 | − | 0.444912i | −0.448747 | − | 0.893659i | \(-0.648130\pi\) |
0.893659 | + | 0.448747i | \(0.148130\pi\) | |||||||
\(648\) | −13502.9 | + | 6458.31i | −0.818586 | + | 0.391522i | ||||
\(649\) | 6030.87i | 0.364765i | ||||||||
\(650\) | −11702.0 | + | 10279.9i | −0.706138 | + | 0.620325i | ||||
\(651\) | 1328.04 | + | 4176.30i | 0.0799537 | + | 0.251432i | ||||
\(652\) | 2850.02 | − | 10636.4i | 0.171189 | − | 0.638887i | ||||
\(653\) | 2194.10 | − | 8188.49i | 0.131488 | − | 0.490720i | −0.868499 | − | 0.495690i | \(-0.834915\pi\) |
0.999988 | + | 0.00496957i | \(0.00158187\pi\) | |||||||
\(654\) | −9315.77 | − | 2041.33i | −0.556996 | − | 0.122053i | ||||
\(655\) | −719.501 | − | 7273.64i | −0.0429210 | − | 0.433900i | ||||
\(656\) | 4464.39i | 0.265709i | ||||||||
\(657\) | −17840.2 | − | 3055.67i | −1.05938 | − | 0.181451i | ||||
\(658\) | 9291.31 | − | 9291.31i | 0.550476 | − | 0.550476i | ||||
\(659\) | 4605.68 | − | 7977.27i | 0.272249 | − | 0.471548i | −0.697189 | − | 0.716888i | \(-0.745566\pi\) |
0.969437 | + | 0.245339i | \(0.0788994\pi\) | |||||||
\(660\) | 3619.52 | − | 2857.46i | 0.213469 | − | 0.168525i | ||||
\(661\) | 7007.31 | + | 12137.0i | 0.412334 | + | 0.714183i | 0.995145 | − | 0.0984247i | \(-0.0313804\pi\) |
−0.582811 | + | 0.812608i | \(0.698047\pi\) | |||||||
\(662\) | −9925.20 | − | 2659.45i | −0.582710 | − | 0.156137i | ||||
\(663\) | 12058.1 | − | 556.064i | 0.706333 | − | 0.0325727i | ||||
\(664\) | 26677.4 | + | 15402.2i | 1.55917 | + | 0.900184i | ||||
\(665\) | −6702.07 | − | 1103.60i | −0.390820 | − | 0.0643546i | ||||
\(666\) | −8862.77 | + | 819.160i | −0.515654 | + | 0.0476604i | ||||
\(667\) | −11260.1 | − | 11260.1i | −0.653661 | − | 0.653661i | ||||
\(668\) | −659.529 | + | 176.720i | −0.0382005 | + | 0.0102358i | ||||
\(669\) | −2601.77 | + | 11873.4i | −0.150359 | + | 0.686176i | ||||
\(670\) | 6489.81 | − | 14339.5i | 0.374214 | − | 0.826838i | ||||
\(671\) | 3284.55 | − | 1896.34i | 0.188970 | − | 0.109102i | ||||
\(672\) | −22165.8 | − | 11469.9i | −1.27242 | − | 0.658423i | ||||
\(673\) | 3782.31 | + | 14115.8i | 0.216638 | + | 0.808503i | 0.985584 | + | 0.169189i | \(0.0541148\pi\) |
−0.768946 | + | 0.639314i | \(0.779218\pi\) | |||||||
\(674\) | 10202.9 | 0.583086 | ||||||||
\(675\) | 11454.5 | − | 13279.3i | 0.653162 | − | 0.757218i | ||||
\(676\) | 27725.5 | 1.57746 | ||||||||
\(677\) | −4597.75 | − | 17159.0i | −0.261013 | − | 0.974113i | −0.964646 | − | 0.263550i | \(-0.915107\pi\) |
0.703633 | − | 0.710564i | \(-0.251560\pi\) | |||||||
\(678\) | −640.949 | − | 331.664i | −0.0363060 | − | 0.0187868i | ||||
\(679\) | 6632.67 | − | 3829.37i | 0.374872 | − | 0.216433i | ||||
\(680\) | −2629.20 | + | 5809.31i | −0.148272 | + | 0.327613i | ||||
\(681\) | −2279.88 | + | 10404.4i | −0.128289 | + | 0.585459i | ||||
\(682\) | 651.007 | − | 174.437i | 0.0365519 | − | 0.00979404i | ||||
\(683\) | −15195.5 | − | 15195.5i | −0.851301 | − | 0.851301i | 0.138993 | − | 0.990293i | \(-0.455614\pi\) |
−0.990293 | + | 0.138993i | \(0.955614\pi\) | |||||||
\(684\) | −1548.26 | + | 3363.18i | −0.0865487 | + | 0.188003i | ||||
\(685\) | −113.037 | − | 18.6134i | −0.00630502 | − | 0.00103822i | ||||
\(686\) | 1000.61 | + | 577.705i | 0.0556904 | + | 0.0321529i | ||||
\(687\) | −20766.5 | + | 957.652i | −1.15326 | + | 0.0531830i | ||||
\(688\) | 1917.00 | + | 513.658i | 0.106228 | + | 0.0284637i | ||||
\(689\) | 10048.5 | + | 17404.6i | 0.555615 | + | 0.962353i | ||||
\(690\) | 5216.66 | − | 4118.33i | 0.287818 | − | 0.227220i | ||||
\(691\) | −10015.8 | + | 17347.9i | −0.551404 | + | 0.955060i | 0.446770 | + | 0.894649i | \(0.352574\pi\) |
−0.998174 | + | 0.0604108i | \(0.980759\pi\) | |||||||
\(692\) | −2008.78 | + | 2008.78i | −0.110350 | + | 0.110350i | ||||
\(693\) | −3291.25 | − | 8906.65i | −0.180410 | − | 0.488219i | ||||
\(694\) | − | 401.213i | − | 0.0219450i | ||||||
\(695\) | 1824.29 | + | 18442.3i | 0.0995673 | + | 1.00655i | ||||
\(696\) | 21613.6 | + | 4736.11i | 1.17710 | + | 0.257934i | ||||
\(697\) | 2051.39 | − | 7655.90i | 0.111481 | − | 0.416051i | ||||
\(698\) | 3644.68 | − | 13602.1i | 0.197641 | − | 0.737605i | ||||
\(699\) | −10926.7 | − | 34361.3i | −0.591251 | − | 1.85932i | ||||
\(700\) | 18462.1 | + | 1194.37i | 0.996859 | + | 0.0644899i | ||||
\(701\) | 16064.1i | 0.865523i | 0.901508 | + | 0.432762i | \(0.142461\pi\) | ||||
−0.901508 | + | 0.432762i | \(0.857539\pi\) | |||||||
\(702\) | 17315.3 | − | 2409.17i | 0.930944 | − | 0.129527i | ||||
\(703\) | −3711.55 | + | 3711.55i | −0.199123 | + | 0.199123i | ||||
\(704\) | −1059.62 | + | 1835.31i | −0.0567271 | + | 0.0982543i | ||||
\(705\) | 16039.0 | + | 11959.6i | 0.856828 | + | 0.638902i | ||||
\(706\) | 264.230 | + | 457.660i | 0.0140856 | + | 0.0243970i | ||||
\(707\) | 2064.55 | + | 553.196i | 0.109824 | + | 0.0294273i | ||||
\(708\) | 7113.39 | + | 11105.7i | 0.377595 | + | 0.589514i | ||||
\(709\) | −15927.0 | − | 9195.47i | −0.843656 | − | 0.487085i | 0.0148496 | − | 0.999890i | \(-0.495273\pi\) |
−0.858505 | + | 0.512805i | \(0.828606\pi\) | |||||||
\(710\) | 304.978 | − | 1852.10i | 0.0161206 | − | 0.0978989i | ||||
\(711\) | 822.417 | + | 8898.01i | 0.0433798 | + | 0.469341i | ||||
\(712\) | 8688.16 | + | 8688.16i | 0.457307 | + | 0.457307i | ||||
\(713\) | −2442.71 | + | 654.522i | −0.128303 | + | 0.0343788i | ||||
\(714\) | 4069.40 | + | 3710.63i | 0.213296 | + | 0.194491i | ||||
\(715\) | −12016.1 | + | 4528.35i | −0.628499 | + | 0.236854i | ||||
\(716\) | 3212.83 | − | 1854.93i | 0.167694 | − | 0.0968184i | ||||
\(717\) | 1197.43 | + | 25966.1i | 0.0623696 | + | 1.35247i | ||||
\(718\) | 919.983 | + | 3433.42i | 0.0478182 | + | 0.178460i | ||||
\(719\) | 4922.15 | 0.255306 | 0.127653 | − | 0.991819i | \(-0.459256\pi\) | ||||
0.127653 | + | 0.991819i | \(0.459256\pi\) | |||||||
\(720\) | 1543.15 | − | 4463.90i | 0.0798749 | − | 0.231055i | ||||
\(721\) | 6707.20 | 0.346448 | ||||||||
\(722\) | 2428.05 | + | 9061.60i | 0.125156 | + | 0.467088i | ||||
\(723\) | −15972.0 | + | 10230.4i | −0.821583 | + | 0.526239i | ||||
\(724\) | −6222.11 | + | 3592.34i | −0.319396 | + | 0.184404i | ||||
\(725\) | −25421.9 | + | 5079.10i | −1.30227 | + | 0.260184i | ||||
\(726\) | 8428.79 | − | 2680.30i | 0.430884 | − | 0.137018i | ||||
\(727\) | 12915.5 | − | 3460.69i | 0.658884 | − | 0.176547i | 0.0861414 | − | 0.996283i | \(-0.472546\pi\) |
0.572742 | + | 0.819736i | \(0.305880\pi\) | |||||||
\(728\) | 31091.1 | + | 31091.1i | 1.58285 | + | 1.58285i | ||||
\(729\) | −18935.4 | + | 5373.19i | −0.962018 | + | 0.272986i | ||||
\(730\) | −9074.72 | + | 6508.67i | −0.460097 | + | 0.329996i | ||||
\(731\) | −3051.40 | − | 1761.73i | −0.154391 | − | 0.0891379i | ||||
\(732\) | 3811.68 | − | 7366.17i | 0.192464 | − | 0.371942i | ||||
\(733\) | 19604.8 | + | 5253.09i | 0.987886 | + | 0.264703i | 0.716362 | − | 0.697729i | \(-0.245806\pi\) |
0.271524 | + | 0.962432i | \(0.412472\pi\) | |||||||
\(734\) | 2473.09 | + | 4283.51i | 0.124364 | + | 0.215405i | ||||
\(735\) | 6720.35 | − | 16878.6i | 0.337257 | − | 0.847041i | ||||
\(736\) | 7200.99 | − | 12472.5i | 0.360641 | − | 0.624649i | ||||
\(737\) | 9175.40 | − | 9175.40i | 0.458589 | − | 0.458589i | ||||
\(738\) | 1937.90 | − | 11314.2i | 0.0966602 | − | 0.564339i | ||||
\(739\) | 21111.0i | 1.05085i | 0.850839 | + | 0.525427i | \(0.176094\pi\) | ||||
−0.850839 | + | 0.525427i | \(0.823906\pi\) | |||||||
\(740\) | 9065.14 | − | 11055.4i | 0.450326 | − | 0.549198i | ||||
\(741\) | 6946.50 | − | 7618.15i | 0.344381 | − | 0.377679i | ||||
\(742\) | −2373.10 | + | 8856.51i | −0.117411 | + | 0.438184i | ||||
\(743\) | 4564.40 | − | 17034.6i | 0.225372 | − | 0.841101i | −0.756883 | − | 0.653551i | \(-0.773279\pi\) |
0.982255 | − | 0.187550i | \(-0.0600547\pi\) | |||||||
\(744\) | 2367.57 | − | 2596.49i | 0.116666 | − | 0.127946i | ||||
\(745\) | −16993.8 | + | 1681.01i | −0.835710 | + | 0.0826675i | ||||
\(746\) | 16336.5i | 0.801771i | ||||||||
\(747\) | 31158.4 | + | 25885.9i | 1.52614 | + | 1.26789i | ||||
\(748\) | −1559.16 | + | 1559.16i | −0.0762146 | + | 0.0762146i | ||||
\(749\) | 5041.40 | − | 8731.96i | 0.245940 | − | 0.425980i | ||||
\(750\) | −865.529 | − | 10785.5i | −0.0421395 | − | 0.525108i | ||||
\(751\) | −1012.62 | − | 1753.91i | −0.0492023 | − | 0.0852210i | 0.840375 | − | 0.542005i | \(-0.182335\pi\) |
−0.889578 | + | 0.456784i | \(0.849001\pi\) | |||||||
\(752\) | 5204.74 | + | 1394.61i | 0.252390 | + | 0.0676278i | ||||
\(753\) | −8508.69 | + | 16443.3i | −0.411785 | + | 0.795785i | ||||
\(754\) | −22380.7 | − | 12921.5i | −1.08098 | − | 0.624103i | ||||
\(755\) | 2856.46 | + | 3982.63i | 0.137692 | + | 0.191977i | ||||
\(756\) | −16566.1 | − | 12519.3i | −0.796962 | − | 0.602278i | ||||
\(757\) | 314.843 | + | 314.843i | 0.0151164 | + | 0.0151164i | 0.714625 | − | 0.699508i | \(-0.246598\pi\) |
−0.699508 | + | 0.714625i | \(0.746598\pi\) | |||||||
\(758\) | −1929.26 | + | 516.943i | −0.0924456 | + | 0.0247707i | ||||
\(759\) | 5221.69 | − | 1660.46i | 0.249717 | − | 0.0794085i | ||||
\(760\) | 1920.58 | + | 5096.31i | 0.0916668 | + | 0.243240i | ||||
\(761\) | 8783.13 | − | 5070.94i | 0.418381 | − | 0.241553i | −0.276003 | − | 0.961157i | \(-0.589010\pi\) |
0.694385 | + | 0.719604i | \(0.255677\pi\) | |||||||
\(762\) | 3639.11 | − | 2330.92i | 0.173007 | − | 0.110814i | ||||
\(763\) | −8163.72 | − | 30467.4i | −0.387348 | − | 1.44560i | ||||
\(764\) | −23475.4 | −1.11166 | ||||||||
\(765\) | −4697.50 | + | 6945.99i | −0.222011 | + | 0.328278i | ||||
\(766\) | −21204.4 | −1.00019 | ||||||||
\(767\) | −9504.93 | − | 35472.9i | −0.447462 | − | 1.66995i | ||||
\(768\) | 748.677 | + | 16234.9i | 0.0351765 | + | 0.762795i | ||||
\(769\) | 11311.9 | − | 6530.95i | 0.530454 | − | 0.306258i | −0.210748 | − | 0.977541i | \(-0.567590\pi\) |
0.741201 | + | 0.671283i | \(0.234256\pi\) | |||||||
\(770\) | −5337.33 | − | 2415.59i | −0.249797 | − | 0.113054i | ||||
\(771\) | −26486.0 | − | 24150.9i | −1.23719 | − | 1.12811i | ||||
\(772\) | −14277.6 | + | 3825.66i | −0.665623 | + | 0.178353i | ||||
\(773\) | −17678.7 | − | 17678.7i | −0.822587 | − | 0.822587i | 0.163891 | − | 0.986478i | \(-0.447595\pi\) |
−0.986478 | + | 0.163891i | \(0.947595\pi\) | |||||||
\(774\) | −4635.34 | − | 2133.91i | −0.215263 | − | 0.0990980i | ||||
\(775\) | −1320.06 | + | 3899.61i | −0.0611843 | + | 0.180746i | ||||
\(776\) | −5318.18 | − | 3070.45i | −0.246020 | − | 0.142040i | ||||
\(777\) | −15877.7 | − | 24788.8i | −0.733088 | − | 1.14452i | ||||
\(778\) | −17095.9 | − | 4580.83i | −0.787812 | − | 0.211093i | ||||
\(779\) | −3384.76 | − | 5862.57i | −0.155676 | − | 0.269638i | ||||
\(780\) | −16786.1 | + | 22511.8i | −0.770564 | + | 1.03340i | ||||
\(781\) | 773.729 | − | 1340.14i | 0.0354497 | − | 0.0614007i | ||||
\(782\) | −2247.15 | + | 2247.15i | −0.102759 | + | 0.102759i | ||||
\(783\) | 26962.8 | + | 10937.0i | 1.23062 | + | 0.499176i | ||||
\(784\) | − | 4892.85i | − | 0.222888i | ||||||
\(785\) | 13177.9 | + | 10805.5i | 0.599161 | + | 0.491294i | ||||
\(786\) | 1533.85 | + | 4823.51i | 0.0696062 | + | 0.218892i | ||||
\(787\) | −498.448 | + | 1860.23i | −0.0225766 | + | 0.0842568i | −0.976295 | − | 0.216444i | \(-0.930554\pi\) |
0.953718 | + | 0.300701i | \(0.0972207\pi\) | |||||||
\(788\) | 2857.29 | − | 10663.5i | 0.129171 | − | 0.482072i | ||||
\(789\) | 25923.5 | + | 5680.53i | 1.16971 | + | 0.256314i | ||||
\(790\) | 4263.39 | + | 3495.85i | 0.192006 | + | 0.157439i | ||||
\(791\) | − | 2386.88i | − | 0.107292i | ||||||
\(792\) | −4865.22 | + | 5856.17i | −0.218280 | + | 0.262740i | ||||
\(793\) | −16330.7 | + | 16330.7i | −0.731298 | + | 0.731298i | ||||
\(794\) | −1074.00 | + | 1860.23i | −0.0480037 | + | 0.0831449i | ||||
\(795\) | −13865.2 | − | 1631.33i | −0.618549 | − | 0.0727766i | ||||
\(796\) | −14133.5 | − | 24479.9i | −0.629332 | − | 1.09004i | ||||
\(797\) | 17871.1 | + | 4788.55i | 0.794263 | + | 0.212822i | 0.633064 | − | 0.774100i | \(-0.281797\pi\) |
0.161199 | + | 0.986922i | \(0.448464\pi\) | |||||||
\(798\) | 4698.63 | − | 216.679i | 0.208433 | − | 0.00961196i | ||||
\(799\) | −8284.70 | − | 4783.17i | −0.366823 | − | 0.211785i | ||||
\(800\) | −10387.8 | − | 21019.5i | −0.459080 | − | 0.928938i | ||||
\(801\) | 9332.28 | + | 13189.9i | 0.411660 | + | 0.581824i | ||||
\(802\) | 9886.89 | + | 9886.89i | 0.435309 | + | 0.435309i | ||||
\(803\) | −8892.92 | + | 2382.85i | −0.390815 | + | 0.104719i | ||||
\(804\) | 6073.87 | − | 27718.6i | 0.266429 | − | 1.21587i | ||||
\(805\) | 20026.7 | + | 9063.77i | 0.876832 | + | 0.396840i | ||||
\(806\) | −3554.23 | + | 2052.04i | −0.155326 | + | 0.0896773i | ||||
\(807\) | 32076.0 | + | 16598.0i | 1.39917 | + | 0.724010i | ||||
\(808\) | −443.561 | − | 1655.39i | −0.0193124 | − | 0.0720749i | ||||
\(809\) | 3636.86 | 0.158054 | 0.0790268 | − | 0.996872i | \(-0.474819\pi\) | ||||
0.0790268 | + | 0.996872i | \(0.474819\pi\) | |||||||
\(810\) | −5848.55 | + | 10643.2i | −0.253700 | + | 0.461682i | ||||
\(811\) | −5975.99 | −0.258749 | −0.129374 | − | 0.991596i | \(-0.541297\pi\) | ||||
−0.129374 | + | 0.991596i | \(0.541297\pi\) | |||||||
\(812\) | 7944.58 | + | 29649.6i | 0.343350 | + | 1.28140i | ||||
\(813\) | −26280.2 | − | 13598.9i | −1.13369 | − | 0.586636i | ||||
\(814\) | −3920.76 | + | 2263.65i | −0.168824 | + | 0.0974704i | ||||
\(815\) | −7511.49 | − | 19932.0i | −0.322842 | − | 0.856670i | ||||
\(816\) | −483.394 | + | 2206.01i | −0.0207380 | + | 0.0946394i | ||||
\(817\) | −2906.82 | + | 778.879i | −0.124476 | + | 0.0333531i | ||||
\(818\) | 3305.54 | + | 3305.54i | 0.141290 | + | 0.141290i | ||||
\(819\) | 33396.1 | + | 47200.7i | 1.42485 | + | 2.01383i | ||||
\(820\) | 10746.4 | + | 14983.2i | 0.457659 | + | 0.638092i | ||||
\(821\) | −17908.5 | − | 10339.5i | −0.761279 | − | 0.439525i | 0.0684756 | − | 0.997653i | \(-0.478186\pi\) |
−0.829755 | + | 0.558128i | \(0.811520\pi\) | |||||||
\(822\) | 79.2473 | − | 3.65451i | 0.00336261 | − | 0.000155068i | ||||
\(823\) | −22313.2 | − | 5978.81i | −0.945066 | − | 0.253230i | −0.246799 | − | 0.969067i | \(-0.579379\pi\) |
−0.698268 | + | 0.715837i | \(0.746045\pi\) | |||||||
\(824\) | −2688.97 | − | 4657.43i | −0.113683 | − | 0.196904i | ||||
\(825\) | 2467.91 | − | 8572.09i | 0.104147 | − | 0.361748i | ||||
\(826\) | 8377.40 | − | 14510.1i | 0.352890 | − | 0.611223i | ||||
\(827\) | −21798.8 | + | 21798.8i | −0.916590 | + | 0.916590i | −0.996780 | − | 0.0801900i | \(-0.974447\pi\) |
0.0801900 | + | 0.996780i | \(0.474447\pi\) | |||||||
\(828\) | 7657.07 | − | 9216.65i | 0.321379 | − | 0.386837i | ||||
\(829\) | − | 39148.0i | − | 1.64013i | −0.572270 | − | 0.820065i | \(-0.693937\pi\) | ||
0.572270 | − | 0.820065i | \(-0.306063\pi\) | |||||||
\(830\) | 24871.9 | − | 2460.30i | 1.04014 | − | 0.102889i | ||||
\(831\) | −14560.9 | − | 3190.68i | −0.607837 | − | 0.133193i | ||||
\(832\) | 3340.02 | − | 12465.1i | 0.139176 | − | 0.519412i | ||||
\(833\) | −2248.27 | + | 8390.66i | −0.0935149 | + | 0.349002i | ||||
\(834\) | −3889.06 | − | 12230.0i | −0.161471 | − | 0.507781i | ||||
\(835\) | −837.453 | + | 1021.32i | −0.0347081 | + | 0.0423284i | ||||
\(836\) | 1883.26i | 0.0779115i | ||||||||
\(837\) | 3645.13 | − | 2839.81i | 0.150531 | − | 0.117274i | ||||
\(838\) | −3351.27 | + | 3351.27i | −0.138148 | + | 0.138148i | ||||
\(839\) | 8171.00 | − | 14152.6i | 0.336227 | − | 0.582362i | −0.647493 | − | 0.762071i | \(-0.724183\pi\) |
0.983720 | + | 0.179710i | \(0.0575159\pi\) | |||||||
\(840\) | −30225.1 | + | 4403.75i | −1.24150 | + | 0.180886i | ||||
\(841\) | −9311.67 | − | 16128.3i | −0.381798 | − | 0.661294i | ||||
\(842\) | 4037.34 | + | 1081.80i | 0.165244 | + | 0.0442771i | ||||
\(843\) | 16480.1 | + | 25729.3i | 0.673316 | + | 1.05120i | ||||
\(844\) | −14836.1 | − | 8565.63i | −0.605071 | − | 0.349338i | ||||
\(845\) | 43580.5 | − | 31257.3i | 1.77422 | − | 1.27252i | ||||
\(846\) | −12585.2 | − | 5793.67i | −0.511450 | − | 0.235450i | ||||
\(847\) | 20685.0 | + | 20685.0i | 0.839134 | + | 0.839134i | ||||
\(848\) | −3631.84 | + | 973.148i | −0.147073 | + | 0.0394080i | ||||
\(849\) | 6980.37 | + | 6364.94i | 0.282174 | + | 0.257296i | ||||
\(850\) | 1013.63 | + | 5073.39i | 0.0409024 | + | 0.204724i | ||||
\(851\) | 14711.5 | − | 8493.67i | 0.592600 | − | 0.342138i | ||||
\(852\) | −155.890 | − | 3380.44i | −0.00626842 | − | 0.135929i | ||||
\(853\) | −8216.62 | − | 30664.8i | −0.329814 | − | 1.23088i | −0.909383 | − | 0.415960i | \(-0.863445\pi\) |
0.579568 | − | 0.814924i | \(-0.303221\pi\) | |||||||
\(854\) | −10536.7 | −0.422200 | ||||||||
\(855\) | 1357.94 | + | 7031.91i | 0.0543166 | + | 0.281270i | ||||
\(856\) | −8084.55 | −0.322809 | ||||||||
\(857\) | −4502.95 | − | 16805.2i | −0.179484 | − | 0.669843i | −0.995744 | − | 0.0921589i | \(-0.970623\pi\) |
0.816260 | − | 0.577684i | \(-0.196043\pi\) | |||||||
\(858\) | 7487.98 | − | 4796.20i | 0.297944 | − | 0.190839i | ||||
\(859\) | −20096.3 | + | 11602.6i | −0.798226 | + | 0.460856i | −0.842850 | − | 0.538148i | \(-0.819124\pi\) |
0.0446246 | + | 0.999004i | \(0.485791\pi\) | |||||||
\(860\) | 7670.19 | − | 2890.56i | 0.304129 | − | 0.114613i | ||||
\(861\) | 36180.6 | − | 11505.2i | 1.43209 | − | 0.455396i | ||||
\(862\) | −21457.6 | + | 5749.54i | −0.847852 | + | 0.227181i | ||||
\(863\) | 3319.49 | + | 3319.49i | 0.130935 | + | 0.130935i | 0.769537 | − | 0.638602i | \(-0.220487\pi\) |
−0.638602 | + | 0.769537i | \(0.720487\pi\) | |||||||
\(864\) | −3243.03 | + | 26114.7i | −0.127697 | + | 1.02829i | ||||
\(865\) | −892.846 | + | 5422.17i | −0.0350956 | + | 0.213132i | ||||
\(866\) | 6895.81 | + | 3981.30i | 0.270588 | + | 0.156224i | ||||
\(867\) | −9889.71 | + | 19112.1i | −0.387396 | + | 0.748652i | ||||
\(868\) | 4708.58 | + | 1261.66i | 0.184124 | + | 0.0493359i | ||||
\(869\) | 2272.65 | + | 3936.35i | 0.0887162 | + | 0.153661i | ||||
\(870\) | 16489.5 | − | 7097.97i | 0.642584 | − | 0.276602i | ||||
\(871\) | −39507.8 | + | 68429.5i | −1.53694 | + | 2.66205i | ||||
\(872\) | −17883.5 | + | 17883.5i | −0.694508 | + | 0.694508i | ||||
\(873\) | −6211.45 | − | 5160.39i | −0.240809 | − | 0.200060i | ||||
\(874\) | 2714.26i | 0.105047i | ||||||||
\(875\) | 30366.2 | − | 18936.5i | 1.17322 | − | 0.731622i | ||||
\(876\) | −13565.5 | + | 14877.1i | −0.523214 | + | 0.573803i | ||||
\(877\) | 3114.52 | − | 11623.6i | 0.119920 | − | 0.447548i | −0.879688 | − | 0.475552i | \(-0.842248\pi\) |
0.999608 | + | 0.0280039i | \(0.00891510\pi\) | |||||||
\(878\) | −634.543 | + | 2368.15i | −0.0243904 | + | 0.0910262i | ||||
\(879\) | 24123.8 | − | 26456.3i | 0.925681 | − | 1.01518i | ||||
\(880\) | −236.492 | − | 2390.76i | −0.00905924 | − | 0.0915825i | ||||
\(881\) | 4720.28i | 0.180511i | 0.995919 | + | 0.0902556i | \(0.0287684\pi\) | ||||
−0.995919 | + | 0.0902556i | \(0.971232\pi\) | |||||||
\(882\) | −2123.89 | + | 12400.1i | −0.0810829 | + | 0.473393i | ||||
\(883\) | −7647.30 | + | 7647.30i | −0.291452 | + | 0.291452i | −0.837654 | − | 0.546202i | \(-0.816073\pi\) |
0.546202 | + | 0.837654i | \(0.316073\pi\) | |||||||
\(884\) | 6713.50 | − | 11628.1i | 0.255429 | − | 0.442416i | ||||
\(885\) | 23701.5 | + | 9436.97i | 0.900247 | + | 0.358441i | ||||
\(886\) | −5096.50 | − | 8827.40i | −0.193251 | − | 0.334720i | ||||
\(887\) | 9698.64 | + | 2598.74i | 0.367135 | + | 0.0983735i | 0.437670 | − | 0.899136i | \(-0.355804\pi\) |
−0.0705349 | + | 0.997509i | \(0.522471\pi\) | |||||||
\(888\) | −10847.7 | + | 20963.4i | −0.409937 | + | 0.792213i | ||||
\(889\) | 12378.4 | + | 7146.69i | 0.466996 | + | 0.269620i | ||||
\(890\) | 9836.55 | + | 1619.74i | 0.370474 | + | 0.0610044i | ||||
\(891\) | −7606.10 | + | 6510.32i | −0.285986 | + | 0.244786i | ||||
\(892\) | 9560.52 | + | 9560.52i | 0.358868 | + | 0.358868i | ||||
\(893\) | −7892.14 | + | 2114.69i | −0.295745 | + | 0.0792447i | ||||
\(894\) | 11269.4 | − | 3583.60i | 0.421595 | − | 0.134064i | ||||
\(895\) | 2958.89 | − | 6537.77i | 0.110508 | − | 0.244172i | ||||
\(896\) | −28178.0 | + | 16268.6i | −1.05063 | + | 0.606579i | ||||
\(897\) | −28096.4 | + | 17996.3i | −1.04583 | + | 0.669876i | ||||
\(898\) | 2998.43 | + | 11190.3i | 0.111424 | + | 0.415841i | ||||
\(899\) | −6830.70 | −0.253411 | ||||||||
\(900\) | −5566.17 | − | 18696.1i | −0.206154 | − | 0.692450i | ||||
\(901\) | 6675.33 | 0.246823 | ||||||||
\(902\) | −1511.20 | − | 5639.88i | −0.0557844 | − | 0.208190i | ||||
\(903\) | −777.486 | − | 16859.6i | −0.0286524 | − | 0.621321i | ||||
\(904\) | −1657.44 | + | 956.921i | −0.0609795 | + | 0.0352065i | ||||
\(905\) | −5730.32 | + | 12661.3i | −0.210478 | + | 0.465058i | ||||
\(906\) | −2507.90 | − | 2286.79i | −0.0919641 | − | 0.0838561i | ||||
\(907\) | 26724.8 | − | 7160.88i | 0.978369 | − | 0.262153i | 0.266012 | − | 0.963970i | \(-0.414294\pi\) |
0.712358 | + | 0.701817i | \(0.247627\pi\) | |||||||
\(908\) | 8377.68 | + | 8377.68i | 0.306193 | + | 0.306193i | ||||
\(909\) | −207.415 | − | 2244.09i | −0.00756823 | − | 0.0818832i | ||||
\(910\) | 35200.7 | + | 5796.34i | 1.28230 | + | 0.211150i | ||||
\(911\) | 40788.9 | + | 23549.5i | 1.48342 | + | 0.856453i | 0.999823 | − | 0.0188372i | \(-0.00599642\pi\) |
0.483598 | + | 0.875290i | \(0.339330\pi\) | |||||||
\(912\) | 1040.35 | + | 1624.22i | 0.0377734 | + | 0.0589730i | ||||
\(913\) | 19902.6 | + | 5332.90i | 0.721447 | + | 0.193311i | ||||
\(914\) | 1773.99 | + | 3072.64i | 0.0641995 | + | 0.111197i | ||||
\(915\) | −2313.08 | − | 15875.8i | −0.0835717 | − | 0.573592i | ||||
\(916\) | −11562.0 | + | 20025.9i | −0.417050 | + | 0.722352i | ||||
\(917\) | −11837.4 | + | 11837.4i | −0.426286 | + | 0.426286i | ||||
\(918\) | 2182.67 | − | 5380.92i | 0.0784735 | − | 0.193461i | ||||
\(919\) | 2547.69i | 0.0914479i | 0.998954 | + | 0.0457239i | \(0.0145595\pi\) | ||||
−0.998954 | + | 0.0457239i | \(0.985441\pi\) | |||||||
\(920\) | −1735.05 | − | 17540.2i | −0.0621772 | − | 0.628567i | ||||
\(921\) | −3519.88 | − | 11069.0i | −0.125933 | − | 0.396023i | ||||
\(922\) | 3342.96 | − | 12476.1i | 0.119409 | − | 0.445639i | ||||
\(923\) | −2438.87 | + | 9101.98i | −0.0869733 | + | 0.324589i | ||||
\(924\) | −10317.2 | − | 2260.77i | −0.367328 | − | 0.0804912i | ||||
\(925\) | 1785.36 | − | 27597.4i | 0.0634620 | − | 0.980971i | ||||
\(926\) | − | 7618.99i | − | 0.270384i | ||||||
\(927\) | −2451.31 | − | 6633.64i | −0.0868519 | − | 0.235035i | ||||
\(928\) | 27507.1 | − | 27507.1i | 0.973021 | − | 0.973021i | ||||
\(929\) | −25014.8 | + | 43327.0i | −0.883434 | + | 1.53015i | −0.0359367 | + | 0.999354i | \(0.511441\pi\) |
−0.847498 | + | 0.530799i | \(0.821892\pi\) | |||||||
\(930\) | 333.139 | − | 2831.44i | 0.0117463 | − | 0.0998350i | ||||
\(931\) | 3709.60 | + | 6425.22i | 0.130588 | + | 0.226185i | ||||
\(932\) | −38740.7 | − | 10380.6i | −1.36158 | − | 0.364835i | ||||
\(933\) | −7797.87 | + | 359.601i | −0.273623 | + | 0.0126182i | ||||
\(934\) | −7490.67 | − | 4324.74i | −0.262422 | − | 0.151510i | ||||
\(935\) | −693.003 | + | 4208.54i | −0.0242392 | + | 0.147202i | ||||
\(936\) | 19387.1 | − | 42113.2i | 0.677016 | − | 1.47063i | ||||
\(937\) | 33647.3 | + | 33647.3i | 1.17312 | + | 1.17312i | 0.981462 | + | 0.191655i | \(0.0613855\pi\) |
0.191655 | + | 0.981462i | \(0.438615\pi\) | |||||||
\(938\) | −34821.1 | + | 9330.30i | −1.21210 | + | 0.324782i | ||||
\(939\) | 4350.60 | − | 19854.3i | 0.151200 | − | 0.690011i | ||||
\(940\) | 20824.9 | − | 7848.02i | 0.722590 | − | 0.272313i | ||||
\(941\) | 5692.71 | − | 3286.68i | 0.197212 | − | 0.113861i | −0.398142 | − | 0.917324i | \(-0.630345\pi\) |
0.595355 | + | 0.803463i | \(0.297012\pi\) | |||||||
\(942\) | −10481.1 | − | 5423.53i | −0.362519 | − | 0.187588i | ||||
\(943\) | 5670.33 | + | 21162.0i | 0.195813 | + | 0.730783i | ||||
\(944\) | 6870.73 | 0.236889 | ||||||||
\(945\) | −40153.5 | − | 1002.17i | −1.38222 | − | 0.0344981i | ||||
\(946\) | −2595.63 | −0.0892084 | ||||||||
\(947\) | −9489.79 | − | 35416.4i | −0.325636 | − | 1.21529i | −0.913671 | − | 0.406453i | \(-0.866765\pi\) |
0.588036 | − | 0.808835i | \(-0.299901\pi\) | |||||||
\(948\) | 8827.93 | + | 4568.08i | 0.302445 | + | 0.156502i | ||||
\(949\) | 48551.7 | − | 28031.3i | 1.66075 | − | 0.958836i | ||||
\(950\) | 3676.16 | + | 2451.83i | 0.125548 | + | 0.0837346i | ||||
\(951\) | 4290.39 | − | 19579.5i | 0.146294 | − | 0.667623i | ||||
\(952\) | 14107.0 | − | 3779.96i | 0.480264 | − | 0.128686i | ||||
\(953\) | 6706.27 | + | 6706.27i | 0.227951 | + | 0.227951i | 0.811836 | − | 0.583885i | \(-0.198468\pi\) |
−0.583885 | + | 0.811836i | \(0.698468\pi\) | |||||||
\(954\) | 9626.69 | − | 889.767i | 0.326704 | − | 0.0301963i | ||||
\(955\) | −36900.0 | + | 26465.8i | −1.25032 | + | 0.896767i | ||||
\(956\) | 25040.1 | + | 14456.9i | 0.847129 | + | 0.489090i | ||||
\(957\) | 14784.4 | − | 681.786i | 0.499385 | − | 0.0230293i | ||||
\(958\) | 21900.4 | + | 5868.20i | 0.738592 | + | 0.197905i | ||||
\(959\) | 131.191 | + | 227.230i | 0.00441751 | + | 0.00765134i | ||||
\(960\) | 5554.79 | + | 7036.20i | 0.186750 | + | 0.236555i | ||||
\(961\) | 14353.1 | − | 24860.3i | 0.481794 | − | 0.834491i | ||||
\(962\) | 19493.8 | − | 19493.8i | 0.653333 | − | 0.653333i | ||||
\(963\) | −10478.7 | − | 1794.80i | −0.350646 | − | 0.0600587i | ||||
\(964\) | 21098.3i | 0.704906i | ||||||||
\(965\) | −18129.3 | + | 22109.7i | −0.604769 | + | 0.737549i | ||||
\(966\) | −14869.7 | − | 3258.35i | −0.495265 | − | 0.108526i | ||||
\(967\) | −8701.12 | + | 32473.0i | −0.289358 | + | 1.07990i | 0.656237 | + | 0.754554i | \(0.272147\pi\) |
−0.945596 | + | 0.325345i | \(0.894520\pi\) | |||||||
\(968\) | 6070.75 | − | 22656.3i | 0.201572 | − | 0.752275i | ||||
\(969\) | −1037.74 | − | 3263.39i | −0.0344035 | − | 0.108189i | ||||
\(970\) | −4958.24 | + | 490.463i | −0.164123 | + | 0.0162349i | ||||
\(971\) | − | 34772.8i | − | 1.14924i | −0.818421 | − | 0.574620i | \(-0.805150\pi\) | ||
0.818421 | − | 0.574620i | \(-0.194850\pi\) | |||||||
\(972\) | −6327.50 | + | 20959.9i | −0.208801 | + | 0.691656i | ||||
\(973\) | 30013.6 | − | 30013.6i | 0.988890 | − | 0.988890i | ||||
\(974\) | −1474.76 | + | 2554.37i | −0.0485159 | + | 0.0840320i | ||||
\(975\) | −1005.95 | + | 54309.6i | −0.0330424 | + | 1.78390i | ||||
\(976\) | −2160.42 | − | 3741.96i | −0.0708539 | − | 0.122723i | ||||
\(977\) | 42844.6 | + | 11480.2i | 1.40299 | + | 0.375930i | 0.879417 | − | 0.476052i | \(-0.157933\pi\) |
0.523571 | + | 0.851982i | \(0.324599\pi\) | |||||||
\(978\) | 7955.78 | + | 12420.8i | 0.260121 | + | 0.406109i | ||||
\(979\) | 7117.49 | + | 4109.29i | 0.232356 | + | 0.134151i | ||||
\(980\) | −11777.8 | − | 16421.2i | −0.383905 | − | 0.535260i | ||||
\(981\) | −27149.7 | + | 19209.3i | −0.883611 | + | 0.625184i | ||||
\(982\) | −12392.2 | − | 12392.2i | −0.402700 | − | 0.402700i | ||||
\(983\) | −54645.5 | + | 14642.2i | −1.77306 | + | 0.475091i | −0.989291 | − | 0.145956i | \(-0.953374\pi\) |
−0.783773 | + | 0.621048i | \(0.786707\pi\) | |||||||
\(984\) | −22494.2 | − | 20511.0i | −0.728749 | − | 0.664499i | ||||
\(985\) | −7530.65 | − | 19982.8i | −0.243601 | − | 0.646401i | ||||
\(986\) | −7433.86 | + | 4291.94i | −0.240104 | + | 0.138624i | ||||
\(987\) | −2110.91 | − | 45774.7i | −0.0680760 | − | 1.47621i | ||||
\(988\) | −2968.11 | − | 11077.1i | −0.0955751 | − | 0.356691i | ||||
\(989\) | 9739.32 | 0.313137 | ||||||||
\(990\) | −438.436 | + | 6161.63i | −0.0140751 | + | 0.197808i | ||||
\(991\) | −45374.8 | −1.45447 | −0.727234 | − | 0.686390i | \(-0.759195\pi\) | ||||
−0.727234 | + | 0.686390i | \(0.759195\pi\) | |||||||
\(992\) | −1598.92 | − | 5967.26i | −0.0511752 | − | 0.190988i | ||||
\(993\) | −30174.5 | + | 19327.3i | −0.964308 | + | 0.617658i | ||||
\(994\) | −3723.14 | + | 2149.55i | −0.118804 | + | 0.0685913i | ||||
\(995\) | −49814.1 | − | 22545.0i | −1.58715 | − | 0.718318i | ||||
\(996\) | 42940.2 | − | 13654.7i | 1.36608 | − | 0.434404i | ||||
\(997\) | −46082.2 | + | 12347.7i | −1.46383 | + | 0.392232i | −0.900811 | − | 0.434212i | \(-0.857027\pi\) |
−0.563019 | + | 0.826444i | \(0.690360\pi\) | |||||||
\(998\) | −15960.1 | − | 15960.1i | −0.506222 | − | 0.506222i | ||||
\(999\) | −18714.0 | + | 24763.3i | −0.592679 | + | 0.784259i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 45.4.l.a.2.11 | ✓ | 64 | |
3.2 | odd | 2 | 135.4.m.a.62.6 | 64 | |||
5.2 | odd | 4 | 225.4.p.b.218.6 | 64 | |||
5.3 | odd | 4 | inner | 45.4.l.a.38.11 | yes | 64 | |
5.4 | even | 2 | 225.4.p.b.182.6 | 64 | |||
9.4 | even | 3 | 135.4.m.a.17.6 | 64 | |||
9.5 | odd | 6 | inner | 45.4.l.a.32.11 | yes | 64 | |
15.8 | even | 4 | 135.4.m.a.8.6 | 64 | |||
45.13 | odd | 12 | 135.4.m.a.98.6 | 64 | |||
45.14 | odd | 6 | 225.4.p.b.32.6 | 64 | |||
45.23 | even | 12 | inner | 45.4.l.a.23.11 | yes | 64 | |
45.32 | even | 12 | 225.4.p.b.68.6 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
45.4.l.a.2.11 | ✓ | 64 | 1.1 | even | 1 | trivial | |
45.4.l.a.23.11 | yes | 64 | 45.23 | even | 12 | inner | |
45.4.l.a.32.11 | yes | 64 | 9.5 | odd | 6 | inner | |
45.4.l.a.38.11 | yes | 64 | 5.3 | odd | 4 | inner | |
135.4.m.a.8.6 | 64 | 15.8 | even | 4 | |||
135.4.m.a.17.6 | 64 | 9.4 | even | 3 | |||
135.4.m.a.62.6 | 64 | 3.2 | odd | 2 | |||
135.4.m.a.98.6 | 64 | 45.13 | odd | 12 | |||
225.4.p.b.32.6 | 64 | 45.14 | odd | 6 | |||
225.4.p.b.68.6 | 64 | 45.32 | even | 12 | |||
225.4.p.b.182.6 | 64 | 5.4 | even | 2 | |||
225.4.p.b.218.6 | 64 | 5.2 | odd | 4 |