Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.10 | ||
Character | \(\chi\) | \(=\) | 108.59 |
Dual form | 108.4.l.a.11.10 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.33178 | − | 1.60087i | −0.824410 | − | 0.565994i | ||||
\(3\) | −4.92086 | + | 1.66888i | −0.947019 | + | 0.321177i | ||||
\(4\) | 2.87442 | + | 7.46577i | 0.359302 | + | 0.933221i | ||||
\(5\) | 3.67143 | + | 10.0872i | 0.328382 | + | 0.902223i | 0.988522 | + | 0.151080i | \(0.0482751\pi\) |
−0.660139 | + | 0.751143i | \(0.729503\pi\) | |||||||
\(6\) | 14.1460 | + | 3.98618i | 0.962516 | + | 0.271225i | ||||
\(7\) | −6.04634 | + | 1.06613i | −0.326472 | + | 0.0575658i | −0.334482 | − | 0.942402i | \(-0.608561\pi\) |
0.00801032 | + | 0.999968i | \(0.497450\pi\) | |||||||
\(8\) | 5.24922 | − | 22.0101i | 0.231985 | − | 0.972719i | ||||
\(9\) | 21.4296 | − | 16.4247i | 0.793691 | − | 0.608322i | ||||
\(10\) | 7.58728 | − | 29.3985i | 0.239931 | − | 0.929664i | ||||
\(11\) | −31.0921 | − | 11.3166i | −0.852239 | − | 0.310190i | −0.121286 | − | 0.992618i | \(-0.538702\pi\) |
−0.730953 | + | 0.682428i | \(0.760924\pi\) | |||||||
\(12\) | −26.6041 | − | 31.9409i | −0.639995 | − | 0.768379i | ||||
\(13\) | 33.3096 | + | 27.9501i | 0.710649 | + | 0.596305i | 0.924781 | − | 0.380500i | \(-0.124248\pi\) |
−0.214132 | + | 0.976805i | \(0.568692\pi\) | |||||||
\(14\) | 15.8055 | + | 7.19342i | 0.301728 | + | 0.137323i | ||||
\(15\) | −34.9009 | − | 43.5103i | −0.600758 | − | 0.748954i | ||||
\(16\) | −47.4754 | + | 42.9195i | −0.741804 | + | 0.670617i | ||||
\(17\) | −97.6451 | − | 56.3755i | −1.39308 | − | 0.804297i | −0.399428 | − | 0.916764i | \(-0.630791\pi\) |
−0.993655 | + | 0.112467i | \(0.964125\pi\) | |||||||
\(18\) | −76.2631 | + | 3.99267i | −0.998632 | + | 0.0522823i | ||||
\(19\) | −87.7369 | + | 50.6549i | −1.05938 | + | 0.611633i | −0.925261 | − | 0.379332i | \(-0.876154\pi\) |
−0.134119 | + | 0.990965i | \(0.542821\pi\) | |||||||
\(20\) | −64.7552 | + | 56.4048i | −0.723985 | + | 0.630624i | ||||
\(21\) | 27.9739 | − | 15.3369i | 0.290686 | − | 0.159371i | ||||
\(22\) | 54.3836 | + | 76.1624i | 0.527029 | + | 0.738085i | ||||
\(23\) | 28.7938 | − | 163.298i | 0.261040 | − | 1.48043i | −0.519040 | − | 0.854750i | \(-0.673710\pi\) |
0.780080 | − | 0.625680i | \(-0.215179\pi\) | |||||||
\(24\) | 10.9017 | + | 117.069i | 0.0927209 | + | 0.995692i | ||||
\(25\) | 7.48410 | − | 6.27990i | 0.0598728 | − | 0.0502392i | ||||
\(26\) | −32.9263 | − | 118.498i | −0.248361 | − | 0.893822i | ||||
\(27\) | −78.0413 | + | 116.587i | −0.556261 | + | 0.831007i | ||||
\(28\) | −25.3392 | − | 42.0761i | −0.171024 | − | 0.283987i | ||||
\(29\) | −127.814 | − | 152.323i | −0.818432 | − | 0.975369i | 0.181536 | − | 0.983384i | \(-0.441893\pi\) |
−0.999968 | + | 0.00801543i | \(0.997449\pi\) | |||||||
\(30\) | 11.7269 | + | 157.328i | 0.0713674 | + | 0.957470i | ||||
\(31\) | −66.6999 | − | 11.7610i | −0.386440 | − | 0.0681398i | −0.0229470 | − | 0.999737i | \(-0.507305\pi\) |
−0.363493 | + | 0.931597i | \(0.618416\pi\) | |||||||
\(32\) | 179.411 | − | 24.0769i | 0.991115 | − | 0.133007i | ||||
\(33\) | 171.886 | + | 3.79823i | 0.906712 | + | 0.0200360i | ||||
\(34\) | 137.437 | + | 287.773i | 0.693245 | + | 1.45155i | ||||
\(35\) | −32.9529 | − | 57.0762i | −0.159145 | − | 0.275647i | ||||
\(36\) | 184.221 | + | 112.777i | 0.852874 | + | 0.522118i | ||||
\(37\) | 98.0242 | − | 169.783i | 0.435543 | − | 0.754382i | −0.561797 | − | 0.827275i | \(-0.689890\pi\) |
0.997340 | + | 0.0728930i | \(0.0232232\pi\) | |||||||
\(38\) | 285.675 | + | 22.3393i | 1.21954 | + | 0.0953660i | ||||
\(39\) | −210.557 | − | 81.9485i | −0.864517 | − | 0.336468i | ||||
\(40\) | 241.292 | − | 27.8588i | 0.953790 | − | 0.110122i | ||||
\(41\) | −133.306 | + | 158.868i | −0.507779 | + | 0.605147i | −0.957646 | − | 0.287948i | \(-0.907027\pi\) |
0.449867 | + | 0.893095i | \(0.351471\pi\) | |||||||
\(42\) | −89.7815 | − | 9.02027i | −0.329847 | − | 0.0331395i | ||||
\(43\) | 98.0684 | − | 269.441i | 0.347798 | − | 0.955566i | −0.635265 | − | 0.772294i | \(-0.719109\pi\) |
0.983062 | − | 0.183272i | \(-0.0586688\pi\) | |||||||
\(44\) | −4.88460 | − | 264.655i | −0.0167359 | − | 0.906779i | ||||
\(45\) | 244.356 | + | 155.862i | 0.809476 | + | 0.516324i | ||||
\(46\) | −328.559 | + | 334.679i | −1.05312 | + | 1.07273i | ||||
\(47\) | −10.0291 | − | 56.8776i | −0.0311253 | − | 0.176520i | 0.965282 | − | 0.261210i | \(-0.0841214\pi\) |
−0.996407 | + | 0.0846893i | \(0.973010\pi\) | |||||||
\(48\) | 161.992 | − | 290.432i | 0.487115 | − | 0.873338i | ||||
\(49\) | −286.893 | + | 104.421i | −0.836423 | + | 0.304433i | ||||
\(50\) | −27.5046 | + | 2.66229i | −0.0777948 | + | 0.00753009i | ||||
\(51\) | 574.582 | + | 114.457i | 1.57760 | + | 0.314259i | ||||
\(52\) | −112.923 | + | 329.022i | −0.301147 | + | 0.877446i | ||||
\(53\) | 127.223i | 0.329726i | 0.986317 | + | 0.164863i | \(0.0527181\pi\) | ||||
−0.986317 | + | 0.164863i | \(0.947282\pi\) | |||||||
\(54\) | 368.616 | − | 146.922i | 0.928932 | − | 0.370250i | ||||
\(55\) | − | 355.179i | − | 0.870771i | ||||||
\(56\) | −8.27285 | + | 138.677i | −0.0197412 | + | 0.330920i | ||||
\(57\) | 347.203 | − | 395.688i | 0.806811 | − | 0.919477i | ||||
\(58\) | 54.1853 | + | 559.799i | 0.122670 | + | 1.26733i | ||||
\(59\) | 190.496 | − | 69.3349i | 0.420347 | − | 0.152994i | −0.123182 | − | 0.992384i | \(-0.539310\pi\) |
0.543529 | + | 0.839390i | \(0.317088\pi\) | |||||||
\(60\) | 224.518 | − | 385.629i | 0.483086 | − | 0.829741i | ||||
\(61\) | 64.6265 | + | 366.515i | 0.135649 | + | 0.769302i | 0.974406 | + | 0.224796i | \(0.0721716\pi\) |
−0.838757 | + | 0.544506i | \(0.816717\pi\) | |||||||
\(62\) | 136.702 | + | 134.202i | 0.280018 | + | 0.274898i | ||||
\(63\) | −112.060 | + | 122.156i | −0.224099 | + | 0.244289i | ||||
\(64\) | −456.891 | − | 231.072i | −0.892366 | − | 0.451313i | ||||
\(65\) | −159.643 | + | 438.617i | −0.304636 | + | 0.836980i | ||||
\(66\) | −394.720 | − | 284.024i | −0.736162 | − | 0.529711i | ||||
\(67\) | −310.659 | + | 370.229i | −0.566463 | + | 0.675085i | −0.970901 | − | 0.239481i | \(-0.923023\pi\) |
0.404438 | + | 0.914566i | \(0.367467\pi\) | |||||||
\(68\) | 140.213 | − | 891.043i | 0.250049 | − | 1.58904i | ||||
\(69\) | 130.835 | + | 851.617i | 0.228270 | + | 1.48584i | ||||
\(70\) | −14.5325 | + | 185.843i | −0.0248139 | + | 0.317321i | ||||
\(71\) | −18.1604 | + | 31.4547i | −0.0303555 | + | 0.0525772i | −0.880804 | − | 0.473481i | \(-0.842997\pi\) |
0.850449 | + | 0.526058i | \(0.176331\pi\) | |||||||
\(72\) | −249.020 | − | 557.886i | −0.407602 | − | 0.913160i | ||||
\(73\) | −295.119 | − | 511.161i | −0.473165 | − | 0.819545i | 0.526363 | − | 0.850260i | \(-0.323555\pi\) |
−0.999528 | + | 0.0307142i | \(0.990222\pi\) | |||||||
\(74\) | −500.372 | + | 238.973i | −0.786041 | + | 0.375405i | ||||
\(75\) | −26.3477 | + | 43.3926i | −0.0405650 | + | 0.0668073i | ||||
\(76\) | −630.370 | − | 509.420i | −0.951427 | − | 0.768875i | ||||
\(77\) | 200.059 | + | 35.2757i | 0.296088 | + | 0.0522083i | ||||
\(78\) | 359.785 | + | 528.162i | 0.522278 | + | 0.766699i | ||||
\(79\) | 697.087 | + | 830.756i | 0.992765 | + | 1.18313i | 0.983080 | + | 0.183179i | \(0.0586387\pi\) |
0.00968573 | + | 0.999953i | \(0.496917\pi\) | |||||||
\(80\) | −607.238 | − | 321.317i | −0.848642 | − | 0.449054i | ||||
\(81\) | 189.460 | − | 703.950i | 0.259890 | − | 0.965638i | ||||
\(82\) | 565.169 | − | 157.040i | 0.761127 | − | 0.211490i | ||||
\(83\) | −747.142 | + | 626.926i | −0.988066 | + | 0.829086i | −0.985287 | − | 0.170911i | \(-0.945329\pi\) |
−0.00277909 | + | 0.999996i | \(0.500885\pi\) | |||||||
\(84\) | 194.911 | + | 164.762i | 0.253173 | + | 0.214012i | ||||
\(85\) | 210.171 | − | 1191.94i | 0.268192 | − | 1.52099i | ||||
\(86\) | −660.014 | + | 471.282i | −0.827572 | + | 0.590927i | ||||
\(87\) | 883.165 | + | 536.253i | 1.08834 | + | 0.660832i | ||||
\(88\) | −412.289 | + | 624.938i | −0.499434 | + | 0.757030i | ||||
\(89\) | −646.453 | + | 373.230i | −0.769931 | + | 0.444520i | −0.832850 | − | 0.553499i | \(-0.813292\pi\) |
0.0629191 | + | 0.998019i | \(0.479959\pi\) | |||||||
\(90\) | −320.269 | − | 754.619i | −0.375104 | − | 0.883821i | ||||
\(91\) | −231.200 | − | 133.483i | −0.266333 | − | 0.153768i | ||||
\(92\) | 1301.91 | − | 254.418i | 1.47536 | − | 0.288314i | ||||
\(93\) | 347.848 | − | 53.4403i | 0.387851 | − | 0.0595860i | ||||
\(94\) | −67.6682 | + | 148.681i | −0.0742494 | + | 0.163142i | ||||
\(95\) | −833.084 | − | 699.040i | −0.899712 | − | 0.754948i | ||||
\(96\) | −842.674 | + | 417.895i | −0.895886 | + | 0.444284i | ||||
\(97\) | −842.323 | − | 306.580i | −0.881700 | − | 0.320913i | −0.138804 | − | 0.990320i | \(-0.544326\pi\) |
−0.742896 | + | 0.669407i | \(0.766548\pi\) | |||||||
\(98\) | 836.136 | + | 215.793i | 0.861862 | + | 0.222432i | ||||
\(99\) | −852.165 | + | 268.167i | −0.865109 | + | 0.272241i | ||||
\(100\) | 68.3967 | + | 37.8235i | 0.0683967 | + | 0.0378235i | ||||
\(101\) | −1891.54 | + | 333.530i | −1.86352 | + | 0.328589i | −0.987983 | − | 0.154560i | \(-0.950604\pi\) |
−0.875538 | + | 0.483149i | \(0.839493\pi\) | |||||||
\(102\) | −1156.57 | − | 1186.72i | −1.12272 | − | 1.15199i | ||||
\(103\) | −211.878 | − | 582.130i | −0.202689 | − | 0.556884i | 0.796148 | − | 0.605102i | \(-0.206868\pi\) |
−0.998837 | + | 0.0482187i | \(0.984646\pi\) | |||||||
\(104\) | 790.035 | − | 586.433i | 0.744897 | − | 0.552928i | ||||
\(105\) | 257.410 | + | 225.869i | 0.239244 | + | 0.209929i | ||||
\(106\) | 203.668 | − | 296.657i | 0.186623 | − | 0.271829i | ||||
\(107\) | 2052.44 | 1.85436 | 0.927182 | − | 0.374612i | \(-0.122224\pi\) | ||||
0.927182 | + | 0.374612i | \(0.122224\pi\) | |||||||
\(108\) | −1094.74 | − | 247.518i | −0.975380 | − | 0.220532i | ||||
\(109\) | 294.553 | 0.258836 | 0.129418 | − | 0.991590i | \(-0.458689\pi\) | ||||
0.129418 | + | 0.991590i | \(0.458689\pi\) | |||||||
\(110\) | −568.597 | + | 828.201i | −0.492851 | + | 0.717872i | ||||
\(111\) | −199.015 | + | 999.068i | −0.170177 | + | 0.854301i | ||||
\(112\) | 241.295 | − | 310.121i | 0.203573 | − | 0.261640i | ||||
\(113\) | −274.127 | − | 753.158i | −0.228210 | − | 0.627001i | 0.771750 | − | 0.635925i | \(-0.219381\pi\) |
−0.999960 | + | 0.00892451i | \(0.997159\pi\) | |||||||
\(114\) | −1443.05 | + | 366.831i | −1.18556 | + | 0.301376i | ||||
\(115\) | 1752.92 | − | 309.088i | 1.42140 | − | 0.250631i | ||||
\(116\) | 769.818 | − | 1392.07i | 0.616170 | − | 1.11423i | ||||
\(117\) | 1172.89 | + | 51.8607i | 0.926781 | + | 0.0409788i | ||||
\(118\) | −555.192 | − | 143.286i | −0.433132 | − | 0.111784i | ||||
\(119\) | 650.499 | + | 236.762i | 0.501102 | + | 0.182386i | ||||
\(120\) | −1140.87 | + | 539.778i | −0.867889 | + | 0.410623i | ||||
\(121\) | −180.950 | − | 151.835i | −0.135951 | − | 0.114076i | ||||
\(122\) | 436.048 | − | 958.092i | 0.323590 | − | 0.710996i | ||||
\(123\) | 390.848 | − | 1004.24i | 0.286517 | − | 0.736173i | ||||
\(124\) | −103.919 | − | 531.772i | −0.0752594 | − | 0.385117i | ||||
\(125\) | 1252.87 | + | 723.345i | 0.896482 | + | 0.517584i | ||||
\(126\) | 456.856 | − | 105.448i | 0.323015 | − | 0.0745557i | ||||
\(127\) | −502.438 | + | 290.083i | −0.351056 | + | 0.202682i | −0.665150 | − | 0.746709i | \(-0.731633\pi\) |
0.314094 | + | 0.949392i | \(0.398299\pi\) | |||||||
\(128\) | 695.455 | + | 1270.23i | 0.480235 | + | 0.877140i | ||||
\(129\) | −32.9150 | + | 1489.54i | −0.0224652 | + | 1.01664i | ||||
\(130\) | 1074.42 | − | 767.190i | 0.724870 | − | 0.517592i | ||||
\(131\) | −273.117 | + | 1548.92i | −0.182155 | + | 1.03305i | 0.747401 | + | 0.664373i | \(0.231301\pi\) |
−0.929556 | + | 0.368680i | \(0.879810\pi\) | |||||||
\(132\) | 465.716 | + | 1294.18i | 0.307086 | + | 0.853362i | ||||
\(133\) | 476.482 | − | 399.816i | 0.310648 | − | 0.260665i | ||||
\(134\) | 1317.08 | − | 365.968i | 0.849092 | − | 0.235932i | ||||
\(135\) | −1462.56 | − | 359.174i | −0.932421 | − | 0.228984i | ||||
\(136\) | −1753.39 | + | 1853.25i | −1.10553 | + | 1.16849i | ||||
\(137\) | 759.057 | + | 904.609i | 0.473362 | + | 0.564131i | 0.948905 | − | 0.315561i | \(-0.102193\pi\) |
−0.475543 | + | 0.879692i | \(0.657748\pi\) | |||||||
\(138\) | 1058.25 | − | 2195.24i | 0.652785 | − | 1.35414i | ||||
\(139\) | 1664.04 | + | 293.414i | 1.01541 | + | 0.179044i | 0.656497 | − | 0.754328i | \(-0.272037\pi\) |
0.358910 | + | 0.933372i | \(0.383148\pi\) | |||||||
\(140\) | 331.397 | − | 410.080i | 0.200058 | − | 0.247558i | ||||
\(141\) | 144.274 | + | 263.149i | 0.0861705 | + | 0.157171i | ||||
\(142\) | 92.7009 | − | 44.2730i | 0.0547837 | − | 0.0261642i | ||||
\(143\) | −719.367 | − | 1245.98i | −0.420675 | − | 0.728630i | ||||
\(144\) | −312.443 | + | 1699.52i | −0.180812 | + | 0.983518i | ||||
\(145\) | 1067.25 | − | 1848.53i | 0.611242 | − | 1.05870i | ||||
\(146\) | −130.150 | + | 1664.36i | −0.0737759 | + | 0.943449i | ||||
\(147\) | 1237.49 | − | 992.630i | 0.694331 | − | 0.556944i | ||||
\(148\) | 1549.32 | + | 243.799i | 0.860497 | + | 0.135406i | ||||
\(149\) | −863.471 | + | 1029.04i | −0.474754 | + | 0.565789i | −0.949272 | − | 0.314456i | \(-0.898178\pi\) |
0.474518 | + | 0.880246i | \(0.342622\pi\) | |||||||
\(150\) | 130.903 | − | 59.0028i | 0.0712547 | − | 0.0321170i | ||||
\(151\) | −538.096 | + | 1478.41i | −0.289998 | + | 0.796762i | 0.706068 | + | 0.708144i | \(0.250467\pi\) |
−0.996066 | + | 0.0886181i | \(0.971755\pi\) | |||||||
\(152\) | 654.371 | + | 2197.00i | 0.349187 | + | 1.17237i | ||||
\(153\) | −3018.45 | + | 395.684i | −1.59495 | + | 0.209080i | ||||
\(154\) | −410.021 | − | 402.523i | −0.214548 | − | 0.210625i | ||||
\(155\) | −126.249 | − | 715.992i | −0.0654228 | − | 0.371031i | ||||
\(156\) | 6.57834 | − | 1807.53i | 0.00337621 | − | 0.927680i | ||||
\(157\) | 416.305 | − | 151.523i | 0.211623 | − | 0.0770243i | −0.234034 | − | 0.972228i | \(-0.575193\pi\) |
0.445656 | + | 0.895204i | \(0.352970\pi\) | |||||||
\(158\) | −295.522 | − | 3053.09i | −0.148800 | − | 1.53728i | ||||
\(159\) | −212.321 | − | 626.047i | −0.105900 | − | 0.312256i | ||||
\(160\) | 901.561 | + | 1721.35i | 0.445467 | + | 0.850530i | ||||
\(161\) | 1018.05i | 0.498345i | ||||||||
\(162\) | −1568.71 | + | 1338.16i | −0.760801 | + | 0.648986i | ||||
\(163\) | − | 1494.16i | − | 0.717983i | −0.933341 | − | 0.358992i | \(-0.883121\pi\) | ||
0.933341 | − | 0.358992i | \(-0.116879\pi\) | |||||||
\(164\) | −1569.25 | − | 538.580i | −0.747182 | − | 0.256439i | ||||
\(165\) | 592.753 | + | 1747.79i | 0.279671 | + | 0.824636i | ||||
\(166\) | 2745.80 | − | 265.778i | 1.28383 | − | 0.124267i | ||||
\(167\) | −3382.51 | + | 1231.13i | −1.56734 | + | 0.570466i | −0.972404 | − | 0.233305i | \(-0.925046\pi\) |
−0.594939 | + | 0.803771i | \(0.702824\pi\) | |||||||
\(168\) | −190.726 | − | 696.216i | −0.0875885 | − | 0.319728i | ||||
\(169\) | −53.1813 | − | 301.606i | −0.0242063 | − | 0.137281i | ||||
\(170\) | −2398.22 | + | 2442.89i | −1.08197 | + | 1.10212i | ||||
\(171\) | −1048.18 | + | 2526.57i | −0.468750 | + | 1.12989i | ||||
\(172\) | 2293.47 | − | 42.3294i | 1.01672 | − | 0.0187650i | ||||
\(173\) | 660.283 | − | 1814.11i | 0.290175 | − | 0.797251i | −0.705865 | − | 0.708347i | \(-0.749441\pi\) |
0.996040 | − | 0.0889040i | \(-0.0283364\pi\) | |||||||
\(174\) | −1200.88 | − | 2664.26i | −0.523209 | − | 1.16079i | ||||
\(175\) | −38.5562 | + | 45.9495i | −0.0166547 | + | 0.0198483i | ||||
\(176\) | 1961.82 | − | 797.198i | 0.840212 | − | 0.341426i | ||||
\(177\) | −821.692 | + | 659.103i | −0.348939 | + | 0.279894i | ||||
\(178\) | 2104.88 | + | 164.598i | 0.886334 | + | 0.0693096i | ||||
\(179\) | 1901.75 | − | 3293.93i | 0.794097 | − | 1.37542i | −0.129313 | − | 0.991604i | \(-0.541277\pi\) |
0.923411 | − | 0.383813i | \(-0.125389\pi\) | |||||||
\(180\) | −461.251 | + | 2272.32i | −0.190998 | + | 0.940936i | ||||
\(181\) | −820.925 | − | 1421.88i | −0.337121 | − | 0.583911i | 0.646769 | − | 0.762686i | \(-0.276120\pi\) |
−0.983890 | + | 0.178775i | \(0.942786\pi\) | |||||||
\(182\) | 325.418 | + | 681.376i | 0.132536 | + | 0.277511i | ||||
\(183\) | −929.689 | − | 1695.71i | −0.375544 | − | 0.684976i | ||||
\(184\) | −3443.06 | − | 1490.94i | −1.37949 | − | 0.597356i | ||||
\(185\) | 2072.52 | + | 365.441i | 0.823645 | + | 0.145231i | ||||
\(186\) | −896.657 | − | 432.249i | −0.353474 | − | 0.170398i | ||||
\(187\) | 2398.02 | + | 2857.84i | 0.937756 | + | 1.11757i | ||||
\(188\) | 395.807 | − | 238.365i | 0.153549 | − | 0.0924709i | ||||
\(189\) | 347.567 | − | 788.128i | 0.133766 | − | 0.303322i | ||||
\(190\) | 823.496 | + | 2963.67i | 0.314435 | + | 1.13162i | ||||
\(191\) | −1295.85 | + | 1087.34i | −0.490912 | + | 0.411924i | −0.854353 | − | 0.519693i | \(-0.826046\pi\) |
0.363441 | + | 0.931617i | \(0.381602\pi\) | |||||||
\(192\) | 2633.93 | + | 374.573i | 0.990039 | + | 0.140794i | ||||
\(193\) | 54.7577 | − | 310.546i | 0.0204225 | − | 0.115822i | −0.972892 | − | 0.231259i | \(-0.925716\pi\) |
0.993315 | + | 0.115437i | \(0.0368268\pi\) | |||||||
\(194\) | 1473.32 | + | 2063.33i | 0.545247 | + | 0.763600i | ||||
\(195\) | 53.5816 | − | 2424.80i | 0.0196772 | − | 0.890478i | ||||
\(196\) | −1604.23 | − | 1841.73i | −0.584632 | − | 0.671184i | ||||
\(197\) | −1159.02 | + | 669.163i | −0.419173 | + | 0.242010i | −0.694723 | − | 0.719277i | \(-0.744473\pi\) |
0.275551 | + | 0.961287i | \(0.411140\pi\) | |||||||
\(198\) | 2416.37 | + | 738.899i | 0.867291 | + | 0.265208i | ||||
\(199\) | −4652.47 | − | 2686.11i | −1.65731 | − | 0.956850i | −0.973948 | − | 0.226773i | \(-0.927183\pi\) |
−0.683365 | − | 0.730077i | \(-0.739484\pi\) | |||||||
\(200\) | −98.9358 | − | 197.691i | −0.0349791 | − | 0.0698942i | ||||
\(201\) | 910.839 | − | 2340.30i | 0.319630 | − | 0.821253i | ||||
\(202\) | 4944.61 | + | 2250.40i | 1.72228 | + | 0.783849i | ||||
\(203\) | 935.205 | + | 784.730i | 0.323343 | + | 0.271317i | ||||
\(204\) | 797.079 | + | 4618.69i | 0.273562 | + | 1.58516i | ||||
\(205\) | −2091.95 | − | 761.408i | −0.712723 | − | 0.259410i | ||||
\(206\) | −437.862 | + | 1696.59i | −0.148094 | + | 0.573821i | ||||
\(207\) | −2065.07 | − | 3972.34i | −0.693393 | − | 1.33380i | ||||
\(208\) | −2780.99 | + | 102.690i | −0.927054 | + | 0.0342320i | ||||
\(209\) | 3301.17 | − | 582.085i | 1.09257 | − | 0.192649i | ||||
\(210\) | −238.637 | − | 938.758i | −0.0784169 | − | 0.308478i | ||||
\(211\) | −1280.22 | − | 3517.39i | −0.417698 | − | 1.14762i | −0.953004 | − | 0.302958i | \(-0.902026\pi\) |
0.535306 | − | 0.844658i | \(-0.320196\pi\) | |||||||
\(212\) | −949.820 | + | 365.693i | −0.307707 | + | 0.118471i | ||||
\(213\) | 36.8703 | − | 185.091i | 0.0118606 | − | 0.0595411i | ||||
\(214\) | −4785.84 | − | 3285.69i | −1.52875 | − | 1.04956i | ||||
\(215\) | 3077.94 | 0.976344 | ||||||||
\(216\) | 2156.44 | + | 2329.69i | 0.679293 | + | 0.733867i | ||||
\(217\) | 415.829 | 0.130084 | ||||||||
\(218\) | −686.834 | − | 471.542i | −0.213387 | − | 0.146499i | ||||
\(219\) | 2305.30 | + | 2022.83i | 0.711315 | + | 0.624156i | ||||
\(220\) | 2651.69 | − | 1020.93i | 0.812622 | − | 0.312870i | ||||
\(221\) | −1676.83 | − | 4607.04i | −0.510387 | − | 1.40228i | ||||
\(222\) | 2063.44 | − | 2011.01i | 0.623824 | − | 0.607974i | ||||
\(223\) | 705.067 | − | 124.322i | 0.211725 | − | 0.0373329i | −0.0667792 | − | 0.997768i | \(-0.521272\pi\) |
0.278505 | + | 0.960435i | \(0.410161\pi\) | |||||||
\(224\) | −1059.11 | + | 336.853i | −0.315914 | + | 0.100477i | ||||
\(225\) | 57.2362 | − | 257.500i | 0.0169589 | − | 0.0762963i | ||||
\(226\) | −566.504 | + | 2195.04i | −0.166740 | + | 0.646071i | ||||
\(227\) | −5206.35 | − | 1894.96i | −1.52228 | − | 0.554064i | −0.560563 | − | 0.828112i | \(-0.689415\pi\) |
−0.961716 | + | 0.274048i | \(0.911637\pi\) | |||||||
\(228\) | 3952.13 | + | 1454.77i | 1.14796 | + | 0.422563i | ||||
\(229\) | 4236.13 | + | 3554.53i | 1.22241 | + | 1.02572i | 0.998695 | + | 0.0510659i | \(0.0162619\pi\) |
0.223712 | + | 0.974655i | \(0.428183\pi\) | |||||||
\(230\) | −4582.25 | − | 2085.48i | −1.31367 | − | 0.597880i | ||||
\(231\) | −1043.33 | + | 160.288i | −0.297169 | + | 0.0456544i | ||||
\(232\) | −4023.58 | + | 2013.63i | −1.13862 | + | 0.569833i | ||||
\(233\) | 4224.82 | + | 2439.20i | 1.18788 | + | 0.685825i | 0.957825 | − | 0.287352i | \(-0.0927749\pi\) |
0.230059 | + | 0.973177i | \(0.426108\pi\) | |||||||
\(234\) | −2651.89 | − | 1998.57i | −0.740853 | − | 0.558335i | ||||
\(235\) | 536.913 | − | 309.987i | 0.149040 | − | 0.0860481i | ||||
\(236\) | 1065.20 | + | 1222.90i | 0.293809 | + | 0.337306i | ||||
\(237\) | −4816.70 | − | 2924.67i | −1.32016 | − | 0.801595i | ||||
\(238\) | −1137.80 | − | 1593.44i | −0.309884 | − | 0.433982i | ||||
\(239\) | −704.922 | + | 3997.81i | −0.190785 | + | 1.08199i | 0.727510 | + | 0.686097i | \(0.240678\pi\) |
−0.918295 | + | 0.395898i | \(0.870434\pi\) | |||||||
\(240\) | 3524.37 | + | 567.742i | 0.947906 | + | 0.152698i | ||||
\(241\) | −3225.14 | + | 2706.21i | −0.862031 | + | 0.723330i | −0.962405 | − | 0.271620i | \(-0.912441\pi\) |
0.100374 | + | 0.994950i | \(0.467996\pi\) | |||||||
\(242\) | 178.868 | + | 643.726i | 0.0475127 | + | 0.170993i | ||||
\(243\) | 242.508 | + | 3780.22i | 0.0640203 | + | 0.997949i | ||||
\(244\) | −2550.55 | + | 1536.00i | −0.669190 | + | 0.403002i | ||||
\(245\) | −2106.61 | − | 2510.56i | −0.549333 | − | 0.654670i | ||||
\(246\) | −2519.03 | + | 1715.97i | −0.652876 | + | 0.444741i | ||||
\(247\) | −4338.29 | − | 764.958i | −1.11757 | − | 0.197057i | ||||
\(248\) | −608.983 | + | 1406.34i | −0.155929 | + | 0.360091i | ||||
\(249\) | 2630.31 | − | 4331.91i | 0.669434 | − | 1.10250i | ||||
\(250\) | −1763.44 | − | 3692.37i | −0.446119 | − | 0.934104i | ||||
\(251\) | 2460.69 | + | 4262.05i | 0.618795 | + | 1.07178i | 0.989706 | + | 0.143116i | \(0.0457122\pi\) |
−0.370911 | + | 0.928668i | \(0.620954\pi\) | |||||||
\(252\) | −1234.10 | − | 485.487i | −0.308495 | − | 0.121360i | ||||
\(253\) | −2743.23 | + | 4751.42i | −0.681682 | + | 1.18071i | ||||
\(254\) | 1635.96 | + | 127.929i | 0.404131 | + | 0.0316023i | ||||
\(255\) | 954.989 | + | 6216.12i | 0.234524 | + | 1.52654i | ||||
\(256\) | 411.833 | − | 4075.24i | 0.100545 | − | 0.994932i | ||||
\(257\) | −465.101 | + | 554.286i | −0.112888 | + | 0.134535i | −0.819529 | − | 0.573037i | \(-0.805765\pi\) |
0.706641 | + | 0.707572i | \(0.250209\pi\) | |||||||
\(258\) | 2461.32 | − | 3420.60i | 0.593935 | − | 0.825416i | ||||
\(259\) | −411.676 | + | 1131.07i | −0.0987657 | + | 0.271357i | ||||
\(260\) | −3733.49 | + | 68.9071i | −0.890544 | + | 0.0164363i | ||||
\(261\) | −5240.87 | − | 1164.92i | −1.24292 | − | 0.276272i | ||||
\(262\) | 3116.48 | − | 3174.53i | 0.734872 | − | 0.748560i | ||||
\(263\) | −516.571 | − | 2929.62i | −0.121115 | − | 0.686875i | −0.983540 | − | 0.180691i | \(-0.942167\pi\) |
0.862425 | − | 0.506184i | \(-0.168944\pi\) | |||||||
\(264\) | 985.867 | − | 3763.29i | 0.229833 | − | 0.877329i | ||||
\(265\) | −1283.32 | + | 467.091i | −0.297486 | + | 0.108276i | ||||
\(266\) | −1751.11 | + | 169.497i | −0.403636 | + | 0.0390697i | ||||
\(267\) | 2558.22 | − | 2915.46i | 0.586370 | − | 0.668253i | ||||
\(268\) | −3657.01 | − | 1255.12i | −0.833535 | − | 0.286076i | ||||
\(269\) | − | 4379.11i | − | 0.992562i | −0.868162 | − | 0.496281i | \(-0.834699\pi\) | ||
0.868162 | − | 0.496281i | \(-0.165301\pi\) | |||||||
\(270\) | 2835.37 | + | 3178.88i | 0.639093 | + | 0.716520i | ||||
\(271\) | − | 4153.54i | − | 0.931031i | −0.885040 | − | 0.465515i | \(-0.845869\pi\) | ||
0.885040 | − | 0.465515i | \(-0.154131\pi\) | |||||||
\(272\) | 7055.35 | − | 1514.43i | 1.57277 | − | 0.337595i | ||||
\(273\) | 1360.47 | + | 271.006i | 0.301609 | + | 0.0600808i | ||||
\(274\) | −321.793 | − | 3324.50i | −0.0709497 | − | 0.732995i | ||||
\(275\) | −303.764 | + | 110.561i | −0.0666096 | + | 0.0242439i | ||||
\(276\) | −5981.90 | + | 3424.69i | −1.30460 | + | 0.746891i | ||||
\(277\) | 1199.20 | + | 6801.01i | 0.260119 | + | 1.47521i | 0.782582 | + | 0.622548i | \(0.213902\pi\) |
−0.522462 | + | 0.852662i | \(0.674986\pi\) | |||||||
\(278\) | −3410.45 | − | 3348.08i | −0.735774 | − | 0.722319i | ||||
\(279\) | −1622.52 | + | 843.490i | −0.348165 | + | 0.180998i | ||||
\(280\) | −1429.23 | + | 425.693i | −0.305046 | + | 0.0908572i | ||||
\(281\) | 343.835 | − | 944.680i | 0.0729946 | − | 0.200551i | −0.897830 | − | 0.440343i | \(-0.854857\pi\) |
0.970824 | + | 0.239792i | \(0.0770791\pi\) | |||||||
\(282\) | 84.8532 | − | 844.570i | 0.0179182 | − | 0.178346i | ||||
\(283\) | −5500.05 | + | 6554.70i | −1.15528 | + | 1.37681i | −0.241597 | + | 0.970377i | \(0.577671\pi\) |
−0.913682 | + | 0.406431i | \(0.866773\pi\) | |||||||
\(284\) | −287.034 | − | 45.1672i | −0.0599730 | − | 0.00943725i | ||||
\(285\) | 5266.10 | + | 2049.56i | 1.09452 | + | 0.425983i | ||||
\(286\) | −317.247 | + | 4056.97i | −0.0655917 | + | 0.838789i | ||||
\(287\) | 636.640 | − | 1102.69i | 0.130940 | − | 0.226794i | ||||
\(288\) | 3449.26 | − | 3462.73i | 0.705728 | − | 0.708483i | ||||
\(289\) | 3899.88 | + | 6754.80i | 0.793789 | + | 1.37488i | ||||
\(290\) | −5447.84 | + | 2601.84i | −1.10313 | + | 0.526845i | ||||
\(291\) | 4656.60 | + | 102.898i | 0.938056 | + | 0.0207286i | ||||
\(292\) | 2967.91 | − | 3672.58i | 0.594808 | − | 0.736032i | ||||
\(293\) | −4681.05 | − | 825.395i | −0.933344 | − | 0.164574i | −0.313759 | − | 0.949503i | \(-0.601588\pi\) |
−0.619586 | + | 0.784929i | \(0.712699\pi\) | |||||||
\(294\) | −4474.64 | + | 333.528i | −0.887640 | + | 0.0661624i | ||||
\(295\) | 1398.79 | + | 1667.01i | 0.276069 | + | 0.329007i | ||||
\(296\) | −3222.39 | − | 3048.75i | −0.632763 | − | 0.598666i | ||||
\(297\) | 3745.84 | − | 2741.78i | 0.731838 | − | 0.535670i | ||||
\(298\) | 3660.80 | − | 1017.20i | 0.711625 | − | 0.197735i | ||||
\(299\) | 5523.30 | − | 4634.60i | 1.06830 | − | 0.896407i | ||||
\(300\) | −399.694 | − | 71.9776i | −0.0769211 | − | 0.0138521i | ||||
\(301\) | −305.695 | + | 1733.68i | −0.0585382 | + | 0.331986i | ||||
\(302\) | 3621.46 | − | 2585.90i | 0.690039 | − | 0.492721i | ||||
\(303\) | 8751.39 | − | 4798.02i | 1.65926 | − | 0.909700i | ||||
\(304\) | 1991.26 | − | 6170.49i | 0.375680 | − | 1.16415i | ||||
\(305\) | −3459.82 | + | 1997.53i | −0.649537 | + | 0.375011i | ||||
\(306\) | 7671.81 | + | 3909.50i | 1.43323 | + | 0.730364i | ||||
\(307\) | 5956.82 | + | 3439.17i | 1.10741 | + | 0.639362i | 0.938156 | − | 0.346212i | \(-0.112532\pi\) |
0.169250 | + | 0.985573i | \(0.445865\pi\) | |||||||
\(308\) | 311.692 | + | 1594.99i | 0.0576632 | + | 0.295074i | ||||
\(309\) | 2014.13 | + | 2510.98i | 0.370809 | + | 0.462280i | ||||
\(310\) | −851.827 | + | 1871.65i | −0.156066 | + | 0.342911i | ||||
\(311\) | 2593.96 | + | 2176.59i | 0.472958 | + | 0.396859i | 0.847872 | − | 0.530201i | \(-0.177883\pi\) |
−0.374914 | + | 0.927060i | \(0.622328\pi\) | |||||||
\(312\) | −2908.96 | + | 4204.23i | −0.527844 | + | 0.762877i | ||||
\(313\) | 5929.30 | + | 2158.09i | 1.07075 | + | 0.389720i | 0.816456 | − | 0.577408i | \(-0.195936\pi\) |
0.254291 | + | 0.967128i | \(0.418158\pi\) | |||||||
\(314\) | −1213.30 | − | 313.133i | −0.218059 | − | 0.0562774i | ||||
\(315\) | −1643.63 | − | 681.881i | −0.293993 | − | 0.121967i | ||||
\(316\) | −4198.52 | + | 7592.24i | −0.747421 | + | 1.35157i | ||||
\(317\) | 5753.38 | − | 1014.48i | 1.01938 | − | 0.179744i | 0.361106 | − | 0.932525i | \(-0.382399\pi\) |
0.658271 | + | 0.752781i | \(0.271288\pi\) | |||||||
\(318\) | −507.135 | + | 1799.70i | −0.0894300 | + | 0.317366i | ||||
\(319\) | 2250.24 | + | 6182.47i | 0.394950 | + | 1.08512i | ||||
\(320\) | 653.418 | − | 5457.10i | 0.114147 | − | 0.953316i | ||||
\(321\) | −10099.8 | + | 3425.29i | −1.75612 | + | 0.595579i | ||||
\(322\) | 1629.77 | − | 2373.87i | 0.282060 | − | 0.410841i | ||||
\(323\) | 11422.8 | 1.96774 | ||||||||
\(324\) | 5800.12 | − | 608.986i | 0.994533 | − | 0.104422i | ||||
\(325\) | 424.817 | 0.0725064 | ||||||||
\(326\) | −2391.95 | + | 3484.04i | −0.406374 | + | 0.591912i | ||||
\(327\) | −1449.45 | + | 491.575i | −0.245122 | + | 0.0831321i | ||||
\(328\) | 2796.95 | + | 3768.02i | 0.470841 | + | 0.634311i | ||||
\(329\) | 121.278 | + | 333.209i | 0.0203230 | + | 0.0558371i | ||||
\(330\) | 1415.81 | − | 5024.38i | 0.236175 | − | 0.838130i | ||||
\(331\) | 1209.66 | − | 213.296i | 0.200873 | − | 0.0354193i | −0.0723062 | − | 0.997382i | \(-0.523036\pi\) |
0.273179 | + | 0.961963i | \(0.411925\pi\) | |||||||
\(332\) | −6828.09 | − | 3775.94i | −1.12873 | − | 0.624191i | ||||
\(333\) | −688.006 | − | 5248.40i | −0.113221 | − | 0.863696i | ||||
\(334\) | 9858.15 | + | 2544.23i | 1.61501 | + | 0.416808i | ||||
\(335\) | −4875.12 | − | 1774.40i | −0.795094 | − | 0.289390i | ||||
\(336\) | −669.820 | + | 1928.75i | −0.108755 | + | 0.313161i | ||||
\(337\) | −3086.61 | − | 2589.97i | −0.498926 | − | 0.418649i | 0.358286 | − | 0.933612i | \(-0.383361\pi\) |
−0.857212 | + | 0.514963i | \(0.827806\pi\) | |||||||
\(338\) | −358.825 | + | 788.416i | −0.0577442 | + | 0.126876i | ||||
\(339\) | 2605.87 | + | 3248.69i | 0.417497 | + | 0.520486i | ||||
\(340\) | 9502.88 | − | 1857.05i | 1.51578 | − | 0.296213i | ||||
\(341\) | 1940.75 | + | 1120.49i | 0.308203 | + | 0.177941i | ||||
\(342\) | 6488.84 | − | 4213.40i | 1.02595 | − | 0.666184i | ||||
\(343\) | 3447.08 | − | 1990.17i | 0.542638 | − | 0.313292i | ||||
\(344\) | −5415.64 | − | 3572.85i | −0.848814 | − | 0.559986i | ||||
\(345\) | −8110.05 | + | 4446.40i | −1.26560 | + | 0.693873i | ||||
\(346\) | −4443.80 | + | 3173.09i | −0.690462 | + | 0.493024i | ||||
\(347\) | −1023.41 | + | 5804.05i | −0.158327 | + | 0.897919i | 0.797353 | + | 0.603513i | \(0.206233\pi\) |
−0.955680 | + | 0.294406i | \(0.904878\pi\) | |||||||
\(348\) | −1464.95 | + | 8134.93i | −0.225660 | + | 1.25310i | ||||
\(349\) | 4651.40 | − | 3902.99i | 0.713421 | − | 0.598631i | −0.212136 | − | 0.977240i | \(-0.568042\pi\) |
0.925557 | + | 0.378609i | \(0.123597\pi\) | |||||||
\(350\) | 163.464 | − | 45.4207i | 0.0249643 | − | 0.00693668i | ||||
\(351\) | −5858.15 | + | 1702.21i | −0.890840 | + | 0.258853i | ||||
\(352\) | −5850.74 | − | 1281.72i | −0.885924 | − | 0.194080i | ||||
\(353\) | −1425.14 | − | 1698.41i | −0.214879 | − | 0.256083i | 0.647828 | − | 0.761787i | \(-0.275677\pi\) |
−0.862707 | + | 0.505703i | \(0.831233\pi\) | |||||||
\(354\) | 2971.15 | − | 221.462i | 0.446087 | − | 0.0332502i | ||||
\(355\) | −383.963 | − | 67.7030i | −0.0574046 | − | 0.0101220i | ||||
\(356\) | −4644.62 | − | 3753.45i | −0.691473 | − | 0.558799i | ||||
\(357\) | −3596.14 | − | 79.4653i | −0.533132 | − | 0.0117808i | ||||
\(358\) | −9707.62 | + | 4636.26i | −1.43314 | + | 0.684453i | ||||
\(359\) | −2830.32 | − | 4902.27i | −0.416097 | − | 0.720701i | 0.579446 | − | 0.815011i | \(-0.303269\pi\) |
−0.995543 | + | 0.0943096i | \(0.969936\pi\) | |||||||
\(360\) | 4713.23 | − | 4560.15i | 0.690025 | − | 0.667613i | ||||
\(361\) | 1702.34 | − | 2948.54i | 0.248191 | − | 0.429879i | ||||
\(362\) | −362.035 | + | 4629.72i | −0.0525640 | + | 0.672190i | ||||
\(363\) | 1143.83 | + | 445.175i | 0.165387 | + | 0.0643681i | ||||
\(364\) | 331.990 | − | 2109.77i | 0.0478050 | − | 0.303797i | ||||
\(365\) | 4072.65 | − | 4853.60i | 0.584034 | − | 0.696025i | ||||
\(366\) | −546.787 | + | 5442.35i | −0.0780902 | + | 0.777257i | ||||
\(367\) | 3425.21 | − | 9410.69i | 0.487179 | − | 1.33851i | −0.416046 | − | 0.909344i | \(-0.636584\pi\) |
0.903224 | − | 0.429169i | \(-0.141193\pi\) | |||||||
\(368\) | 5641.65 | + | 8988.44i | 0.799162 | + | 1.27325i | ||||
\(369\) | −247.346 | + | 5594.00i | −0.0348952 | + | 0.789192i | ||||
\(370\) | −4247.63 | − | 4169.96i | −0.596821 | − | 0.585908i | ||||
\(371\) | −135.637 | − | 769.235i | −0.0189809 | − | 0.107646i | ||||
\(372\) | 1398.83 | + | 2443.34i | 0.194963 | + | 0.340542i | ||||
\(373\) | −10364.5 | + | 3772.38i | −1.43875 | + | 0.523663i | −0.939426 | − | 0.342751i | \(-0.888641\pi\) |
−0.499326 | + | 0.866414i | \(0.666419\pi\) | |||||||
\(374\) | −1016.61 | − | 10502.8i | −0.140555 | − | 1.45210i | ||||
\(375\) | −7372.38 | − | 1468.58i | −1.01522 | − | 0.202233i | ||||
\(376\) | −1304.53 | − | 77.8223i | −0.178925 | − | 0.0106739i | ||||
\(377\) | − | 8646.25i | − | 1.18118i | ||||||
\(378\) | −2072.14 | + | 1281.33i | −0.281956 | + | 0.174351i | ||||
\(379\) | − | 2954.00i | − | 0.400361i | −0.979759 | − | 0.200180i | \(-0.935847\pi\) | ||
0.979759 | − | 0.200180i | \(-0.0641528\pi\) | |||||||
\(380\) | 2824.24 | − | 8228.95i | 0.381265 | − | 1.11088i | ||||
\(381\) | 1988.31 | − | 2265.96i | 0.267360 | − | 0.304695i | ||||
\(382\) | 4762.33 | − | 460.966i | 0.637859 | − | 0.0617411i | ||||
\(383\) | 7673.68 | − | 2792.99i | 1.02378 | − | 0.372624i | 0.225069 | − | 0.974343i | \(-0.427739\pi\) |
0.798708 | + | 0.601719i | \(0.205517\pi\) | |||||||
\(384\) | −5542.11 | − | 5090.01i | −0.736509 | − | 0.676428i | ||||
\(385\) | 378.668 | + | 2147.54i | 0.0501266 | + | 0.284282i | ||||
\(386\) | −624.828 | + | 636.467i | −0.0823910 | + | 0.0839257i | ||||
\(387\) | −2323.91 | − | 7384.76i | −0.305248 | − | 0.969997i | ||||
\(388\) | −132.330 | − | 7169.83i | −0.0173145 | − | 0.938126i | ||||
\(389\) | −295.533 | + | 811.971i | −0.0385196 | + | 0.105832i | −0.957461 | − | 0.288562i | \(-0.906823\pi\) |
0.918942 | + | 0.394393i | \(0.129045\pi\) | |||||||
\(390\) | −4006.73 | + | 5568.32i | −0.520227 | + | 0.722981i | ||||
\(391\) | −12017.5 | + | 14322.0i | −1.55436 | + | 1.85241i | ||||
\(392\) | 792.344 | + | 6862.68i | 0.102090 | + | 0.884228i | ||||
\(393\) | −1241.00 | − | 8077.83i | −0.159289 | − | 1.03683i | ||||
\(394\) | 3773.84 | + | 295.107i | 0.482546 | + | 0.0377342i | ||||
\(395\) | −5820.67 | + | 10081.7i | −0.741442 | + | 1.28422i | ||||
\(396\) | −4451.56 | − | 5591.24i | −0.564897 | − | 0.709521i | ||||
\(397\) | 1950.48 | + | 3378.34i | 0.246579 | + | 0.427088i | 0.962574 | − | 0.271017i | \(-0.0873601\pi\) |
−0.715995 | + | 0.698105i | \(0.754027\pi\) | |||||||
\(398\) | 6548.44 | + | 13711.4i | 0.824733 | + | 1.72686i | ||||
\(399\) | −1677.45 | + | 2762.63i | −0.210470 | + | 0.346628i | ||||
\(400\) | −85.7805 | + | 619.355i | −0.0107226 | + | 0.0774194i | ||||
\(401\) | 6578.38 | + | 1159.95i | 0.819224 | + | 0.144451i | 0.567527 | − | 0.823355i | \(-0.307900\pi\) |
0.251697 | + | 0.967806i | \(0.419011\pi\) | |||||||
\(402\) | −5870.40 | + | 3998.93i | −0.728330 | + | 0.496141i | ||||
\(403\) | −1893.03 | − | 2256.02i | −0.233991 | − | 0.278860i | ||||
\(404\) | −7927.15 | − | 13163.1i | −0.976214 | − | 1.62101i | ||||
\(405\) | 7796.45 | − | 673.392i | 0.956564 | − | 0.0826201i | ||||
\(406\) | −924.442 | − | 3326.96i | −0.113003 | − | 0.406686i | ||||
\(407\) | −4969.15 | + | 4169.61i | −0.605188 | + | 0.507813i | ||||
\(408\) | 5535.32 | − | 12045.8i | 0.671665 | − | 1.46166i | ||||
\(409\) | 1689.24 | − | 9580.16i | 0.204224 | − | 1.15821i | −0.694433 | − | 0.719558i | \(-0.744345\pi\) |
0.898656 | − | 0.438653i | \(-0.144544\pi\) | |||||||
\(410\) | 3659.06 | + | 5124.39i | 0.440752 | + | 0.617257i | ||||
\(411\) | −5244.90 | − | 3184.67i | −0.629469 | − | 0.382210i | ||||
\(412\) | 3737.02 | − | 3255.12i | 0.446869 | − | 0.389243i | ||||
\(413\) | −1077.88 | + | 622.317i | −0.128424 | + | 0.0741458i | ||||
\(414\) | −1543.91 | + | 12568.5i | −0.183283 | + | 1.49205i | ||||
\(415\) | −9066.98 | − | 5234.82i | −1.07248 | − | 0.619199i | ||||
\(416\) | 6649.07 | + | 4212.57i | 0.783647 | + | 0.496486i | ||||
\(417\) | −8678.15 | + | 1333.23i | −1.01911 | + | 0.156568i | ||||
\(418\) | −8629.45 | − | 3927.45i | −1.00976 | − | 0.459564i | ||||
\(419\) | 4346.37 | + | 3647.04i | 0.506764 | + | 0.425225i | 0.859989 | − | 0.510313i | \(-0.170471\pi\) |
−0.353225 | + | 0.935538i | \(0.614915\pi\) | |||||||
\(420\) | −946.381 | + | 2571.01i | −0.109949 | + | 0.298696i | ||||
\(421\) | −13952.2 | − | 5078.20i | −1.61518 | − | 0.587877i | −0.632725 | − | 0.774377i | \(-0.718064\pi\) |
−0.982455 | + | 0.186499i | \(0.940286\pi\) | |||||||
\(422\) | −2645.68 | + | 10251.3i | −0.305189 | + | 1.18252i | ||||
\(423\) | −1149.12 | − | 1054.14i | −0.132085 | − | 0.121168i | ||||
\(424\) | 2800.20 | + | 667.823i | 0.320731 | + | 0.0764914i | ||||
\(425\) | −1084.82 | + | 191.283i | −0.123815 | + | 0.0218319i | ||||
\(426\) | −382.281 | + | 372.568i | −0.0434779 | + | 0.0423732i | ||||
\(427\) | −781.507 | − | 2147.17i | −0.0885709 | − | 0.243347i | ||||
\(428\) | 5899.57 | + | 15323.0i | 0.666277 | + | 1.73053i | ||||
\(429\) | 5619.30 | + | 4930.75i | 0.632407 | + | 0.554916i | ||||
\(430\) | −7177.10 | − | 4927.39i | −0.804908 | − | 0.552605i | ||||
\(431\) | −9184.34 | −1.02644 | −0.513218 | − | 0.858258i | \(-0.671547\pi\) | ||||
−0.513218 | + | 0.858258i | \(0.671547\pi\) | |||||||
\(432\) | −1298.82 | − | 8884.52i | −0.144651 | − | 0.989483i | ||||
\(433\) | 5662.42 | 0.628449 | 0.314225 | − | 0.949349i | \(-0.398256\pi\) | ||||
0.314225 | + | 0.949349i | \(0.398256\pi\) | |||||||
\(434\) | −969.622 | − | 665.688i | −0.107243 | − | 0.0736269i | ||||
\(435\) | −2166.79 | + | 10877.4i | −0.238827 | + | 1.19893i | ||||
\(436\) | 846.669 | + | 2199.07i | 0.0930003 | + | 0.241551i | ||||
\(437\) | 5745.55 | + | 15785.8i | 0.628940 | + | 1.72800i | ||||
\(438\) | −2137.18 | − | 8407.29i | −0.233147 | − | 0.917160i | ||||
\(439\) | 8910.57 | − | 1571.17i | 0.968743 | − | 0.170816i | 0.333179 | − | 0.942864i | \(-0.391879\pi\) |
0.635564 | + | 0.772048i | \(0.280768\pi\) | |||||||
\(440\) | −7817.54 | − | 1864.42i | −0.847015 | − | 0.202006i | ||||
\(441\) | −4432.94 | + | 6949.82i | −0.478668 | + | 0.750440i | ||||
\(442\) | −3465.29 | + | 13427.0i | −0.372912 | + | 1.44493i | ||||
\(443\) | −9211.64 | − | 3352.76i | −0.987942 | − | 0.359581i | −0.203019 | − | 0.979175i | \(-0.565075\pi\) |
−0.784923 | + | 0.619593i | \(0.787297\pi\) | |||||||
\(444\) | −8030.87 | + | 1385.94i | −0.858396 | + | 0.148139i | ||||
\(445\) | −6138.23 | − | 5150.59i | −0.653888 | − | 0.548677i | ||||
\(446\) | −1843.09 | − | 838.829i | −0.195679 | − | 0.0890577i | ||||
\(447\) | 2531.66 | − | 6504.81i | 0.267882 | − | 0.688293i | ||||
\(448\) | 3008.87 | + | 910.033i | 0.317312 | + | 0.0959710i | ||||
\(449\) | 5721.89 | + | 3303.53i | 0.601409 | + | 0.347224i | 0.769596 | − | 0.638531i | \(-0.220458\pi\) |
−0.168187 | + | 0.985755i | \(0.553791\pi\) | |||||||
\(450\) | −545.687 | + | 508.806i | −0.0571643 | + | 0.0533008i | ||||
\(451\) | 5942.62 | − | 3430.97i | 0.620459 | − | 0.358222i | ||||
\(452\) | 4834.95 | − | 4211.46i | 0.503134 | − | 0.438253i | ||||
\(453\) | 180.603 | − | 8173.05i | 0.0187317 | − | 0.847690i | ||||
\(454\) | 9106.49 | + | 12753.3i | 0.941385 | + | 1.31838i | ||||
\(455\) | 497.634 | − | 2822.23i | 0.0512735 | − | 0.290787i | ||||
\(456\) | −6886.60 | − | 9719.04i | −0.707225 | − | 0.998105i | ||||
\(457\) | 13837.8 | − | 11611.3i | 1.41642 | − | 1.18852i | 0.463192 | − | 0.886258i | \(-0.346704\pi\) |
0.953226 | − | 0.302258i | \(-0.0977403\pi\) | |||||||
\(458\) | −4187.38 | − | 15069.9i | −0.427212 | − | 1.53749i | ||||
\(459\) | 14193.0 | − | 6984.55i | 1.44330 | − | 0.710263i | ||||
\(460\) | 7346.21 | + | 12198.5i | 0.744606 | + | 1.23643i | ||||
\(461\) | 5542.80 | + | 6605.65i | 0.559986 | + | 0.667366i | 0.969544 | − | 0.244919i | \(-0.0787612\pi\) |
−0.409557 | + | 0.912284i | \(0.634317\pi\) | |||||||
\(462\) | 2689.42 | + | 1296.48i | 0.270829 | + | 0.130558i | ||||
\(463\) | −4322.52 | − | 762.177i | −0.433876 | − | 0.0765041i | −0.0475555 | − | 0.998869i | \(-0.515143\pi\) |
−0.386321 | + | 0.922365i | \(0.626254\pi\) | |||||||
\(464\) | 12605.7 | + | 1745.88i | 1.26121 | + | 0.174678i | ||||
\(465\) | 1816.16 | + | 3312.60i | 0.181123 | + | 0.330361i | ||||
\(466\) | −5946.51 | − | 12451.1i | −0.591130 | − | 1.23774i | ||||
\(467\) | −6656.49 | − | 11529.4i | −0.659584 | − | 1.14243i | −0.980724 | − | 0.195400i | \(-0.937399\pi\) |
0.321140 | − | 0.947032i | \(-0.395934\pi\) | |||||||
\(468\) | 2984.18 | + | 8905.56i | 0.294752 | + | 0.879615i | ||||
\(469\) | 1483.64 | − | 2569.73i | 0.146072 | − | 0.253005i | ||||
\(470\) | −1748.21 | − | 136.707i | −0.171572 | − | 0.0134166i | ||||
\(471\) | −1795.70 | + | 1440.39i | −0.175672 | + | 0.140912i | ||||
\(472\) | −526.114 | − | 4556.80i | −0.0513059 | − | 0.444372i | ||||
\(473\) | −6098.31 | + | 7267.69i | −0.592813 | + | 0.706487i | ||||
\(474\) | 6549.48 | + | 14530.6i | 0.634657 | + | 1.40805i | ||||
\(475\) | −338.523 | + | 930.086i | −0.0327000 | + | 0.0898426i | ||||
\(476\) | 102.194 | + | 5537.03i | 0.00984046 | + | 0.533171i | ||||
\(477\) | 2089.60 | + | 2726.35i | 0.200579 | + | 0.261700i | ||||
\(478\) | 8043.70 | − | 8193.53i | 0.769687 | − | 0.784024i | ||||
\(479\) | −1115.16 | − | 6324.37i | −0.106373 | − | 0.603273i | −0.990663 | − | 0.136334i | \(-0.956468\pi\) |
0.884289 | − | 0.466939i | \(-0.154643\pi\) | |||||||
\(480\) | −7309.19 | − | 6965.92i | −0.695036 | − | 0.662394i | ||||
\(481\) | 8010.60 | − | 2915.62i | 0.759360 | − | 0.276384i | ||||
\(482\) | 11852.6 | − | 1147.27i | 1.12007 | − | 0.108416i | ||||
\(483\) | −1699.01 | − | 5009.68i | −0.160057 | − | 0.471943i | ||||
\(484\) | 613.441 | − | 1787.37i | 0.0576109 | − | 0.167860i | ||||
\(485\) | − | 9622.23i | − | 0.900872i | ||||||
\(486\) | 5486.18 | − | 9202.89i | 0.512054 | − | 0.858953i | ||||
\(487\) | − | 4930.30i | − | 0.458754i | −0.973338 | − | 0.229377i | \(-0.926331\pi\) | ||
0.973338 | − | 0.229377i | \(-0.0736689\pi\) | |||||||
\(488\) | 8406.28 | + | 501.481i | 0.779783 | + | 0.0465184i | ||||
\(489\) | 2493.57 | + | 7352.52i | 0.230600 | + | 0.679944i | ||||
\(490\) | 893.073 | + | 9226.51i | 0.0823366 | + | 0.850635i | ||||
\(491\) | −10571.0 | + | 3847.55i | −0.971618 | + | 0.353640i | −0.778576 | − | 0.627550i | \(-0.784058\pi\) |
−0.193042 | + | 0.981190i | \(0.561835\pi\) | |||||||
\(492\) | 8620.88 | + | 31.3749i | 0.789958 | + | 0.00287498i | ||||
\(493\) | 3893.16 | + | 22079.2i | 0.355657 | + | 2.01703i | ||||
\(494\) | 8891.36 | + | 8728.77i | 0.809800 | + | 0.794992i | ||||
\(495\) | −5833.71 | − | 7611.37i | −0.529709 | − | 0.691122i | ||||
\(496\) | 3671.38 | − | 2304.37i | 0.332359 | − | 0.208607i | ||||
\(497\) | 76.2688 | − | 209.547i | 0.00688355 | − | 0.0189124i | ||||
\(498\) | −13068.1 | + | 5890.28i | −1.17590 | + | 0.530019i | ||||
\(499\) | 11050.0 | − | 13168.9i | 0.991315 | − | 1.18140i | 0.00791186 | − | 0.999969i | \(-0.497482\pi\) |
0.983403 | − | 0.181434i | \(-0.0580740\pi\) | |||||||
\(500\) | −1799.05 | + | 11432.8i | −0.160912 | + | 1.02258i | ||||
\(501\) | 14590.2 | − | 11703.2i | 1.30108 | − | 1.04364i | ||||
\(502\) | 1085.19 | − | 13877.4i | 0.0964826 | − | 1.23382i | ||||
\(503\) | −5158.83 | + | 8935.36i | −0.457298 | + | 0.792064i | −0.998817 | − | 0.0486247i | \(-0.984516\pi\) |
0.541519 | + | 0.840689i | \(0.317850\pi\) | |||||||
\(504\) | 2100.44 | + | 3107.68i | 0.185637 | + | 0.274657i | ||||
\(505\) | −10309.0 | − | 17855.8i | −0.908408 | − | 1.57341i | ||||
\(506\) | 14003.0 | − | 6687.71i | 1.23026 | − | 0.587560i | ||||
\(507\) | 765.043 | + | 1395.41i | 0.0670153 | + | 0.122233i | ||||
\(508\) | −3609.91 | − | 2917.27i | −0.315283 | − | 0.254789i | ||||
\(509\) | −17278.4 | − | 3046.65i | −1.50462 | − | 0.265305i | −0.640252 | − | 0.768165i | \(-0.721170\pi\) |
−0.864368 | + | 0.502859i | \(0.832281\pi\) | |||||||
\(510\) | 7724.39 | − | 16023.5i | 0.670670 | − | 1.39124i | ||||
\(511\) | 2329.35 | + | 2776.01i | 0.201653 | + | 0.240320i | ||||
\(512\) | −7484.25 | + | 8843.29i | −0.646016 | + | 0.763324i | ||||
\(513\) | 941.391 | − | 14182.2i | 0.0810204 | − | 1.22058i | ||||
\(514\) | 1971.86 | − | 547.907i | 0.169212 | − | 0.0470178i | ||||
\(515\) | 5094.15 | − | 4274.50i | 0.435874 | − | 0.365742i | ||||
\(516\) | −11215.2 | + | 4035.84i | −0.956825 | + | 0.344318i | ||||
\(517\) | −331.837 | + | 1881.94i | −0.0282286 | + | 0.160092i | ||||
\(518\) | 2770.64 | − | 1978.37i | 0.235010 | − | 0.167808i | ||||
\(519\) | −221.613 | + | 10028.9i | −0.0187432 | + | 0.848209i | ||||
\(520\) | 8816.00 | + | 5816.17i | 0.743476 | + | 0.490492i | ||||
\(521\) | −9696.35 | + | 5598.19i | −0.815364 | + | 0.470751i | −0.848815 | − | 0.528690i | \(-0.822684\pi\) |
0.0334509 | + | 0.999440i | \(0.489350\pi\) | |||||||
\(522\) | 10355.7 | + | 11106.3i | 0.868307 | + | 0.931245i | ||||
\(523\) | 372.330 | + | 214.965i | 0.0311298 | + | 0.0179728i | 0.515484 | − | 0.856899i | \(-0.327612\pi\) |
−0.484354 | + | 0.874872i | \(0.660945\pi\) | |||||||
\(524\) | −12349.0 | + | 2413.23i | −1.02952 | + | 0.201187i | ||||
\(525\) | 113.045 | − | 290.457i | 0.00939751 | − | 0.0241458i | ||||
\(526\) | −3485.42 | + | 7658.21i | −0.288919 | + | 0.634817i | ||||
\(527\) | 5849.89 | + | 4908.64i | 0.483539 | + | 0.405737i | ||||
\(528\) | −8323.38 | + | 7196.94i | −0.686039 | + | 0.593194i | ||||
\(529\) | −14403.8 | − | 5242.55i | −1.18384 | − | 0.430882i | ||||
\(530\) | 3740.18 | + | 965.279i | 0.306534 | + | 0.0791114i | ||||
\(531\) | 2943.46 | − | 4614.66i | 0.240556 | − | 0.377136i | ||||
\(532\) | 4354.54 | + | 2408.07i | 0.354875 | + | 0.196246i | ||||
\(533\) | −8880.76 | + | 1565.92i | −0.721705 | + | 0.127256i | ||||
\(534\) | −10632.5 | + | 2702.84i | −0.861636 | + | 0.219032i | ||||
\(535\) | 7535.38 | + | 20703.3i | 0.608940 | + | 1.67305i | ||||
\(536\) | 6518.07 | + | 8781.06i | 0.525257 | + | 0.707620i | ||||
\(537\) | −3861.05 | + | 19382.7i | −0.310273 | + | 1.55759i | ||||
\(538\) | −7010.40 | + | 10211.1i | −0.561784 | + | 0.818278i | ||||
\(539\) | 10101.8 | 0.807264 | ||||||||
\(540\) | −1522.49 | − | 11951.5i | −0.121328 | − | 0.952429i | ||||
\(541\) | −2064.42 | −0.164060 | −0.0820300 | − | 0.996630i | \(-0.526140\pi\) | ||||
−0.0820300 | + | 0.996630i | \(0.526140\pi\) | |||||||
\(542\) | −6649.28 | + | 9685.14i | −0.526958 | + | 0.767551i | ||||
\(543\) | 6412.62 | + | 5626.86i | 0.506799 | + | 0.444699i | ||||
\(544\) | −18876.0 | − | 7763.39i | −1.48768 | − | 0.611861i | ||||
\(545\) | 1081.43 | + | 2971.21i | 0.0849971 | + | 0.233528i | ||||
\(546\) | −2738.47 | − | 2809.87i | −0.214644 | − | 0.220240i | ||||
\(547\) | −18337.4 | + | 3233.38i | −1.43337 | + | 0.252741i | −0.835781 | − | 0.549063i | \(-0.814985\pi\) |
−0.597586 | + | 0.801804i | \(0.703874\pi\) | |||||||
\(548\) | −4571.75 | + | 8267.17i | −0.356379 | + | 0.644445i | ||||
\(549\) | 7404.81 | + | 6792.82i | 0.575646 | + | 0.528070i | ||||
\(550\) | 885.305 | + | 228.483i | 0.0686355 | + | 0.0177137i | ||||
\(551\) | 18929.9 | + | 6889.94i | 1.46360 | + | 0.532706i | ||||
\(552\) | 19431.0 | + | 1590.64i | 1.49826 | + | 0.122648i | ||||
\(553\) | −5100.52 | − | 4279.85i | −0.392218 | − | 0.329110i | ||||
\(554\) | 8091.27 | − | 17778.3i | 0.620515 | − | 1.36340i | ||||
\(555\) | −10808.4 | + | 1660.51i | −0.826653 | + | 0.127000i | ||||
\(556\) | 2592.57 | + | 13266.7i | 0.197751 | + | 1.01193i | ||||
\(557\) | −1257.42 | − | 725.971i | −0.0956526 | − | 0.0552251i | 0.451411 | − | 0.892316i | \(-0.350921\pi\) |
−0.547063 | + | 0.837091i | \(0.684254\pi\) | |||||||
\(558\) | 5133.70 | + | 630.619i | 0.389474 | + | 0.0478427i | ||||
\(559\) | 10797.5 | − | 6233.95i | 0.816971 | − | 0.471678i | ||||
\(560\) | 4014.14 | + | 1295.39i | 0.302907 | + | 0.0977505i | ||||
\(561\) | −16569.7 | − | 10061.0i | −1.24701 | − | 0.757178i | ||||
\(562\) | −2314.06 | + | 1652.35i | −0.173688 | + | 0.124022i | ||||
\(563\) | −280.637 | + | 1591.57i | −0.0210079 | + | 0.119141i | −0.993508 | − | 0.113759i | \(-0.963711\pi\) |
0.972500 | + | 0.232901i | \(0.0748218\pi\) | |||||||
\(564\) | −1549.91 | + | 1833.52i | −0.115714 | + | 0.136888i | ||||
\(565\) | 6590.79 | − | 5530.33i | 0.490755 | − | 0.411792i | ||||
\(566\) | 23318.1 | − | 6479.26i | 1.73169 | − | 0.481173i | ||||
\(567\) | −395.033 | + | 4458.31i | −0.0292589 | + | 0.330214i | ||||
\(568\) | 596.994 | + | 564.824i | 0.0441009 | + | 0.0417245i | ||||
\(569\) | 9035.49 | + | 10768.1i | 0.665707 | + | 0.793359i | 0.988193 | − | 0.153216i | \(-0.0489629\pi\) |
−0.322486 | + | 0.946574i | \(0.604518\pi\) | |||||||
\(570\) | −8998.33 | − | 13209.5i | −0.661226 | − | 0.970674i | ||||
\(571\) | −1765.80 | − | 311.358i | −0.129416 | − | 0.0228195i | 0.108565 | − | 0.994089i | \(-0.465374\pi\) |
−0.237981 | + | 0.971270i | \(0.576486\pi\) | |||||||
\(572\) | 7234.44 | − | 8952.10i | 0.528824 | − | 0.654381i | ||||
\(573\) | 4562.02 | − | 7513.28i | 0.332602 | − | 0.547769i | ||||
\(574\) | −3249.78 | + | 1552.06i | −0.236312 | + | 0.112860i | ||||
\(575\) | −809.998 | − | 1402.96i | −0.0587465 | − | 0.101752i | ||||
\(576\) | −13586.3 | + | 2552.50i | −0.982806 | + | 0.184643i | ||||
\(577\) | 2892.95 | − | 5010.74i | 0.208726 | − | 0.361525i | −0.742587 | − | 0.669749i | \(-0.766402\pi\) |
0.951314 | + | 0.308225i | \(0.0997349\pi\) | |||||||
\(578\) | 1719.88 | − | 21993.9i | 0.123768 | − | 1.58275i | ||||
\(579\) | 248.811 | + | 1619.54i | 0.0178588 | + | 0.116245i | ||||
\(580\) | 16868.4 | + | 2654.38i | 1.20762 | + | 0.190030i | ||||
\(581\) | 3849.08 | − | 4587.16i | 0.274848 | − | 0.327552i | ||||
\(582\) | −10693.4 | − | 7694.55i | −0.761611 | − | 0.548023i | ||||
\(583\) | 1439.74 | − | 3955.64i | 0.102277 | − | 0.281005i | ||||
\(584\) | −12799.9 | + | 3812.41i | −0.906955 | + | 0.270134i | ||||
\(585\) | 3783.04 | + | 12021.5i | 0.267366 | + | 0.849620i | ||||
\(586\) | 9593.84 | + | 9418.40i | 0.676310 | + | 0.663943i | ||||
\(587\) | −2306.48 | − | 13080.7i | −0.162178 | − | 0.919759i | −0.951926 | − | 0.306327i | \(-0.900900\pi\) |
0.789748 | − | 0.613431i | \(-0.210211\pi\) | |||||||
\(588\) | 10967.8 | + | 6385.61i | 0.769227 | + | 0.447854i | ||||
\(589\) | 6447.79 | − | 2346.80i | 0.451064 | − | 0.164174i | ||||
\(590\) | −592.998 | − | 6126.38i | −0.0413785 | − | 0.427490i | ||||
\(591\) | 4586.63 | − | 5227.13i | 0.319237 | − | 0.363816i | ||||
\(592\) | 2633.26 | + | 12267.7i | 0.182814 | + | 0.851686i | ||||
\(593\) | 9783.67i | 0.677516i | 0.940873 | + | 0.338758i | \(0.110007\pi\) | ||||
−0.940873 | + | 0.338758i | \(0.889993\pi\) | |||||||
\(594\) | −13123.7 | + | 396.619i | −0.906520 | + | 0.0273964i | ||||
\(595\) | 7430.95i | 0.511999i | ||||||||
\(596\) | −10164.6 | − | 3488.57i | −0.698587 | − | 0.239761i | ||||
\(597\) | 27377.0 | + | 5453.50i | 1.87682 | + | 0.373864i | ||||
\(598\) | −20298.5 | + | 1964.78i | −1.38807 | + | 0.134358i | ||||
\(599\) | −5175.15 | + | 1883.60i | −0.353007 | + | 0.128484i | −0.512436 | − | 0.858725i | \(-0.671257\pi\) |
0.159429 | + | 0.987209i | \(0.449035\pi\) | |||||||
\(600\) | 816.772 | + | 807.694i | 0.0555743 | + | 0.0549566i | ||||
\(601\) | −3794.30 | − | 21518.6i | −0.257526 | − | 1.46050i | −0.789506 | − | 0.613743i | \(-0.789663\pi\) |
0.531980 | − | 0.846757i | \(-0.321448\pi\) | |||||||
\(602\) | 3488.22 | − | 3553.20i | 0.236162 | − | 0.240561i | ||||
\(603\) | −576.420 | + | 13036.4i | −0.0389281 | + | 0.880401i | ||||
\(604\) | −12584.2 | + | 232.259i | −0.847752 | + | 0.0156465i | ||||
\(605\) | 867.242 | − | 2382.73i | 0.0582784 | − | 0.160119i | ||||
\(606\) | −28087.4 | − | 2821.91i | −1.88279 | − | 0.189162i | ||||
\(607\) | 11116.2 | − | 13247.7i | 0.743314 | − | 0.885847i | −0.253357 | − | 0.967373i | \(-0.581535\pi\) |
0.996671 | + | 0.0815257i | \(0.0259793\pi\) | |||||||
\(608\) | −14521.4 | + | 11200.5i | −0.968616 | + | 0.747104i | ||||
\(609\) | −5911.63 | − | 2300.80i | −0.393352 | − | 0.153092i | ||||
\(610\) | 11265.3 | + | 880.928i | 0.747738 | + | 0.0584717i | ||||
\(611\) | 1255.67 | − | 2174.89i | 0.0831408 | − | 0.144004i | ||||
\(612\) | −11630.4 | − | 21397.7i | −0.768187 | − | 1.41332i | ||||
\(613\) | 6123.41 | + | 10606.1i | 0.403462 | + | 0.698817i | 0.994141 | − | 0.108090i | \(-0.0344733\pi\) |
−0.590679 | + | 0.806907i | \(0.701140\pi\) | |||||||
\(614\) | −8384.34 | − | 17555.5i | −0.551082 | − | 1.15388i | ||||
\(615\) | 11564.9 | + | 255.554i | 0.758279 | + | 0.0167560i | ||||
\(616\) | 1826.57 | − | 4218.14i | 0.119472 | − | 0.275899i | ||||
\(617\) | −9669.50 | − | 1704.99i | −0.630923 | − | 0.111249i | −0.150963 | − | 0.988539i | \(-0.548238\pi\) |
−0.479960 | + | 0.877291i | \(0.659349\pi\) | |||||||
\(618\) | −676.757 | − | 9079.42i | −0.0440504 | − | 0.590984i | ||||
\(619\) | 13654.8 | + | 16273.1i | 0.886644 | + | 1.05666i | 0.998021 | + | 0.0628826i | \(0.0200294\pi\) |
−0.111377 | + | 0.993778i | \(0.535526\pi\) | |||||||
\(620\) | 4982.54 | − | 3000.60i | 0.322748 | − | 0.194366i | ||||
\(621\) | 16791.3 | + | 16100.9i | 1.08504 | + | 1.04043i | ||||
\(622\) | −2564.11 | − | 9227.93i | −0.165292 | − | 0.594866i | ||||
\(623\) | 3510.76 | − | 2945.88i | 0.225771 | − | 0.189445i | ||||
\(624\) | 13513.5 | − | 5146.48i | 0.866944 | − | 0.330167i | ||||
\(625\) | −2484.61 | + | 14091.0i | −0.159015 | + | 0.901821i | ||||
\(626\) | −10371.0 | − | 14524.2i | −0.662155 | − | 0.927325i | ||||
\(627\) | −15273.1 | + | 8373.63i | −0.972808 | + | 0.533350i | ||||
\(628\) | 2327.87 | + | 2672.50i | 0.147917 | + | 0.169816i | ||||
\(629\) | −19143.2 | + | 11052.3i | −1.21349 | + | 0.700612i | ||||
\(630\) | 2740.98 | + | 4221.23i | 0.173338 | + | 0.266949i | ||||
\(631\) | 11287.8 | + | 6517.01i | 0.712139 | + | 0.411154i | 0.811852 | − | 0.583863i | \(-0.198459\pi\) |
−0.0997136 | + | 0.995016i | \(0.531793\pi\) | |||||||
\(632\) | 21944.2 | − | 10982.2i | 1.38116 | − | 0.691213i | ||||
\(633\) | 12169.9 | + | 15172.0i | 0.764156 | + | 0.952659i | ||||
\(634\) | −15039.7 | − | 6844.89i | −0.942117 | − | 0.428778i | ||||
\(635\) | −4770.77 | − | 4003.15i | −0.298145 | − | 0.250174i | ||||
\(636\) | 4063.63 | − | 3384.66i | 0.253354 | − | 0.211023i | ||||
\(637\) | −12474.9 | − | 4540.48i | −0.775938 | − | 0.282418i | ||||
\(638\) | 4650.29 | − | 18018.5i | 0.288568 | − | 1.11812i | ||||
\(639\) | 127.463 | + | 972.341i | 0.00789100 | + | 0.0601959i | ||||
\(640\) | −10259.7 | + | 11678.7i | −0.633675 | + | 0.721316i | ||||
\(641\) | −958.510 | + | 169.011i | −0.0590622 | + | 0.0104143i | −0.203101 | − | 0.979158i | \(-0.565102\pi\) |
0.144039 | + | 0.989572i | \(0.453991\pi\) | |||||||
\(642\) | 29033.9 | + | 8181.40i | 1.78485 | + | 0.502950i | ||||
\(643\) | −2691.69 | − | 7395.36i | −0.165085 | − | 0.453568i | 0.829374 | − | 0.558694i | \(-0.188698\pi\) |
−0.994459 | + | 0.105126i | \(0.966475\pi\) | |||||||
\(644\) | −7600.53 | + | 2926.30i | −0.465067 | + | 0.179057i | ||||
\(645\) | −15146.1 | + | 5136.73i | −0.924617 | + | 0.313579i | ||||
\(646\) | −26635.4 | − | 18286.4i | −1.62222 | − | 1.11373i | ||||
\(647\) | −2428.82 | −0.147584 | −0.0737920 | − | 0.997274i | \(-0.523510\pi\) | ||||
−0.0737920 | + | 0.997274i | \(0.523510\pi\) | |||||||
\(648\) | −14499.5 | − | 7865.22i | −0.879005 | − | 0.476813i | ||||
\(649\) | −6707.57 | −0.405694 | ||||||||
\(650\) | −990.580 | − | 680.077i | −0.0597750 | − | 0.0410382i | ||||
\(651\) | −2046.23 | + | 693.970i | −0.123192 | + | 0.0417801i | ||||
\(652\) | 11155.0 | − | 4294.83i | 0.670037 | − | 0.257973i | ||||
\(653\) | −4997.18 | − | 13729.6i | −0.299471 | − | 0.822791i | −0.994588 | − | 0.103894i | \(-0.966870\pi\) |
0.695117 | − | 0.718897i | \(-0.255353\pi\) | |||||||
\(654\) | 4166.76 | + | 1174.14i | 0.249133 | + | 0.0702028i | ||||
\(655\) | −16627.0 | + | 2931.78i | −0.991861 | + | 0.174892i | ||||
\(656\) | −489.772 | − | 13263.8i | −0.0291499 | − | 0.789425i | ||||
\(657\) | −14719.9 | − | 6106.76i | −0.874094 | − | 0.362629i | ||||
\(658\) | 250.631 | − | 971.122i | 0.0148489 | − | 0.0575354i | ||||
\(659\) | 7541.68 | + | 2744.95i | 0.445800 | + | 0.162258i | 0.555159 | − | 0.831744i | \(-0.312658\pi\) |
−0.109359 | + | 0.994002i | \(0.534880\pi\) | |||||||
\(660\) | −11344.8 | + | 9449.23i | −0.669082 | + | 0.557289i | ||||
\(661\) | −3866.01 | − | 3243.97i | −0.227489 | − | 0.190886i | 0.521918 | − | 0.852996i | \(-0.325217\pi\) |
−0.749407 | + | 0.662110i | \(0.769661\pi\) | |||||||
\(662\) | −3162.13 | − | 1439.15i | −0.185649 | − | 0.0844928i | ||||
\(663\) | 15940.0 | + | 19872.1i | 0.933725 | + | 1.16406i | ||||
\(664\) | 9876.82 | + | 19735.6i | 0.577251 | + | 1.15345i | ||||
\(665\) | 5782.38 | + | 3338.46i | 0.337189 | + | 0.194676i | ||||
\(666\) | −6797.74 | + | 13339.5i | −0.395506 | + | 0.776121i | ||||
\(667\) | −28554.3 | + | 16485.8i | −1.65761 | + | 0.957021i | ||||
\(668\) | −18914.1 | − | 21714.2i | −1.09552 | − | 1.25771i | ||||
\(669\) | −3262.05 | + | 1788.45i | −0.188518 | + | 0.103356i | ||||
\(670\) | 8527.14 | + | 11942.0i | 0.491690 | + | 0.688594i | ||||
\(671\) | 2138.33 | − | 12127.1i | 0.123024 | − | 0.697706i | ||||
\(672\) | 4649.56 | − | 3425.14i | 0.266906 | − | 0.196618i | ||||
\(673\) | 20297.5 | − | 17031.6i | 1.16257 | − | 0.975514i | 0.162635 | − | 0.986686i | \(-0.448001\pi\) |
0.999938 | + | 0.0111724i | \(0.00355636\pi\) | |||||||
\(674\) | 3051.08 | + | 10980.5i | 0.174367 | + | 0.627527i | ||||
\(675\) | 148.087 | + | 1362.64i | 0.00844426 | + | 0.0777009i | ||||
\(676\) | 2098.86 | − | 1263.98i | 0.119416 | − | 0.0719152i | ||||
\(677\) | −19455.9 | − | 23186.6i | −1.10451 | − | 1.31630i | −0.944252 | − | 0.329223i | \(-0.893213\pi\) |
−0.160254 | − | 0.987076i | \(-0.551231\pi\) | |||||||
\(678\) | −875.585 | − | 11746.9i | −0.0495968 | − | 0.665395i | ||||
\(679\) | 5419.82 | + | 955.661i | 0.306324 | + | 0.0540131i | ||||
\(680\) | −25131.5 | − | 10882.7i | −1.41728 | − | 0.613722i | ||||
\(681\) | 28782.1 | + | 636.010i | 1.61958 | + | 0.0357885i | ||||
\(682\) | −2731.64 | − | 5719.63i | −0.153372 | − | 0.321137i | ||||
\(683\) | 2211.69 | + | 3830.77i | 0.123906 | + | 0.214612i | 0.921305 | − | 0.388841i | \(-0.127124\pi\) |
−0.797399 | + | 0.603453i | \(0.793791\pi\) | |||||||
\(684\) | −21875.7 | − | 563.055i | −1.22286 | − | 0.0314750i | ||||
\(685\) | −6338.11 | + | 10977.9i | −0.353528 | + | 0.612329i | ||||
\(686\) | −11223.8 | − | 877.683i | −0.624677 | − | 0.0488485i | ||||
\(687\) | −26777.5 | − | 10421.7i | −1.48708 | − | 0.578769i | ||||
\(688\) | 6908.42 | + | 17000.9i | 0.382821 | + | 0.942081i | ||||
\(689\) | −3555.90 | + | 4237.76i | −0.196617 | + | 0.234319i | ||||
\(690\) | 26029.0 | + | 2615.11i | 1.43610 | + | 0.144283i | ||||
\(691\) | 2368.10 | − | 6506.29i | 0.130371 | − | 0.358192i | −0.857282 | − | 0.514847i | \(-0.827849\pi\) |
0.987653 | + | 0.156655i | \(0.0500710\pi\) | |||||||
\(692\) | 15441.7 | − | 284.999i | 0.848272 | − | 0.0156561i | ||||
\(693\) | 4866.58 | − | 2529.95i | 0.266762 | − | 0.138680i | ||||
\(694\) | 11677.9 | − | 11895.4i | 0.638743 | − | 0.650641i | ||||
\(695\) | 3149.67 | + | 17862.6i | 0.171904 | + | 0.974919i | ||||
\(696\) | 16438.9 | − | 16623.7i | 0.895281 | − | 0.905343i | ||||
\(697\) | 21973.0 | − | 7997.51i | 1.19410 | − | 0.434616i | ||||
\(698\) | −17094.3 | + | 1654.63i | −0.926973 | + | 0.0897256i | ||||
\(699\) | −24860.5 | − | 4952.22i | −1.34522 | − | 0.267968i | ||||
\(700\) | −453.875 | − | 155.774i | −0.0245069 | − | 0.00841098i | ||||
\(701\) | − | 8648.00i | − | 0.465949i | −0.972483 | − | 0.232975i | \(-0.925154\pi\) | ||
0.972483 | − | 0.232975i | \(-0.0748459\pi\) | |||||||
\(702\) | 16385.0 | + | 5408.96i | 0.880926 | + | 0.290809i | ||||
\(703\) | 19861.6i | 1.06557i | ||||||||
\(704\) | 11590.8 | + | 12355.0i | 0.620517 | + | 0.661429i | ||||
\(705\) | −2124.74 | + | 2421.45i | −0.113507 | + | 0.129357i | ||||
\(706\) | 604.170 | + | 6241.79i | 0.0322071 | + | 0.332738i | ||||
\(707\) | 11081.3 | − | 4033.27i | 0.589471 | − | 0.214550i | ||||
\(708\) | −7282.60 | − | 4240.03i | −0.386578 | − | 0.225071i | ||||
\(709\) | 5230.71 | + | 29664.8i | 0.277071 | + | 1.57135i | 0.732305 | + | 0.680976i | \(0.238444\pi\) |
−0.455234 | + | 0.890372i | \(0.650444\pi\) | |||||||
\(710\) | 786.934 | + | 772.544i | 0.0415959 | + | 0.0408353i | ||||
\(711\) | 28583.2 | + | 6353.38i | 1.50767 | + | 0.335120i | ||||
\(712\) | 4821.46 | + | 16187.7i | 0.253781 | + | 0.852049i | ||||
\(713\) | −3841.08 | + | 10553.3i | −0.201753 | + | 0.554311i | ||||
\(714\) | 8258.21 | + | 5942.26i | 0.432851 | + | 0.311461i | ||||
\(715\) | 9927.30 | − | 11830.9i | 0.519245 | − | 0.618812i | ||||
\(716\) | 30058.1 | + | 4729.90i | 1.56889 | + | 0.246878i | ||||
\(717\) | −3203.06 | − | 20849.1i | −0.166835 | − | 1.08595i | ||||
\(718\) | −1248.20 | + | 15962.0i | −0.0648779 | + | 0.829661i | ||||
\(719\) | 9186.14 | − | 15910.9i | 0.476474 | − | 0.825278i | −0.523162 | − | 0.852233i | \(-0.675248\pi\) |
0.999637 | + | 0.0269553i | \(0.00858117\pi\) | |||||||
\(720\) | −18290.4 | + | 3088.00i | −0.946728 | + | 0.159837i | ||||
\(721\) | 1901.72 | + | 3293.87i | 0.0982296 | + | 0.170139i | ||||
\(722\) | −8689.72 | + | 4150.12i | −0.447920 | + | 0.213922i | ||||
\(723\) | 11354.1 | − | 18699.3i | 0.584043 | − | 0.961871i | ||||
\(724\) | 8255.78 | − | 10215.9i | 0.423789 | − | 0.524409i | ||||
\(725\) | −1913.15 | − | 337.340i | −0.0980036 | − | 0.0172807i | ||||
\(726\) | −1954.49 | − | 2869.17i | −0.0999144 | − | 0.146673i | ||||
\(727\) | −14232.0 | − | 16961.0i | −0.726044 | − | 0.865266i | 0.269159 | − | 0.963096i | \(-0.413254\pi\) |
−0.995203 | + | 0.0978300i | \(0.968810\pi\) | |||||||
\(728\) | −4151.60 | + | 4388.06i | −0.211358 | + | 0.223396i | ||||
\(729\) | −7502.11 | − | 18197.2i | −0.381147 | − | 0.924515i | ||||
\(730\) | −17266.5 | + | 4797.74i | −0.875429 | + | 0.243250i | ||||
\(731\) | −24765.8 | + | 20780.9i | −1.25307 | + | 1.05145i | ||||
\(732\) | 9987.49 | − | 11815.0i | 0.504301 | − | 0.596579i | ||||
\(733\) | −2148.18 | + | 12182.9i | −0.108247 | + | 0.613898i | 0.881627 | + | 0.471947i | \(0.156449\pi\) |
−0.989874 | + | 0.141951i | \(0.954662\pi\) | |||||||
\(734\) | −23052.2 | + | 16460.4i | −1.15922 | + | 0.827742i | ||||
\(735\) | 14556.2 | + | 8838.43i | 0.730494 | + | 0.443551i | ||||
\(736\) | 1234.23 | − | 29990.6i | 0.0618128 | − | 1.50200i | ||||
\(737\) | 13848.8 | − | 7995.60i | 0.692167 | − | 0.399623i | ||||
\(738\) | 9532.03 | − | 12648.0i | 0.475446 | − | 0.630867i | ||||
\(739\) | 15136.0 | + | 8738.77i | 0.753432 | + | 0.434994i | 0.826933 | − | 0.562301i | \(-0.190084\pi\) |
−0.0735005 | + | 0.997295i | \(0.523417\pi\) | |||||||
\(740\) | 3228.98 | + | 16523.4i | 0.160405 | + | 0.820825i | ||||
\(741\) | 22624.8 | − | 3475.86i | 1.12165 | − | 0.172320i | ||||
\(742\) | −915.171 | + | 2010.83i | −0.0452789 | + | 0.0994875i | ||||
\(743\) | −13556.6 | − | 11375.3i | −0.669371 | − | 0.561669i | 0.243508 | − | 0.969899i | \(-0.421702\pi\) |
−0.912879 | + | 0.408230i | \(0.866146\pi\) | |||||||
\(744\) | 649.705 | − | 7936.70i | 0.0320152 | − | 0.391094i | ||||
\(745\) | −13550.3 | − | 4931.91i | −0.666369 | − | 0.242539i | ||||
\(746\) | 30206.9 | + | 7795.91i | 1.48251 | + | 0.382612i | ||||
\(747\) | −5713.92 | + | 25706.4i | −0.279868 | + | 1.25910i | ||||
\(748\) | −14443.1 | + | 26117.7i | −0.706006 | + | 1.27668i | ||||
\(749\) | −12409.7 | + | 2188.17i | −0.605397 | + | 0.106748i | ||||
\(750\) | 14839.8 | + | 15226.6i | 0.722496 | + | 0.741331i | ||||
\(751\) | −7041.01 | − | 19345.0i | −0.342117 | − | 0.939960i | −0.984779 | − | 0.173810i | \(-0.944392\pi\) |
0.642662 | − | 0.766150i | \(-0.277830\pi\) | |||||||
\(752\) | 2917.29 | + | 2269.85i | 0.141466 | + | 0.110070i | ||||
\(753\) | −19221.6 | − | 16866.3i | −0.930243 | − | 0.816258i | ||||
\(754\) | −13841.5 | + | 20161.2i | −0.668540 | + | 0.973776i | ||||
\(755\) | −16888.5 | −0.814087 | ||||||||
\(756\) | 6883.03 | + | 329.446i | 0.331129 | + | 0.0158490i | ||||
\(757\) | −16410.5 | −0.787914 | −0.393957 | − | 0.919129i | \(-0.628894\pi\) | ||||
−0.393957 | + | 0.919129i | \(0.628894\pi\) | |||||||
\(758\) | −4728.97 | + | 6888.08i | −0.226602 | + | 0.330061i | ||||
\(759\) | 5569.49 | − | 27959.2i | 0.266350 | − | 1.33709i | ||||
\(760\) | −19759.0 | + | 14666.9i | −0.943072 | + | 0.700030i | ||||
\(761\) | 5829.46 | + | 16016.3i | 0.277684 | + | 0.762931i | 0.997624 | + | 0.0688945i | \(0.0219472\pi\) |
−0.719940 | + | 0.694037i | \(0.755831\pi\) | |||||||
\(762\) | −8263.82 | + | 2100.71i | −0.392870 | + | 0.0998696i | ||||
\(763\) | −1780.97 | + | 314.033i | −0.0845025 | + | 0.0149001i | ||||
\(764\) | −11842.7 | − | 6549.01i | −0.560802 | − | 0.310124i | ||||
\(765\) | −15073.4 | − | 28994.9i | −0.712390 | − | 1.37034i | ||||
\(766\) | −22364.6 | − | 5771.93i | −1.05491 | − | 0.272256i | ||||
\(767\) | 8283.28 | + | 3014.87i | 0.389950 | + | 0.141930i | ||||
\(768\) | 4774.54 | + | 20741.0i | 0.224331 | + | 0.974513i | ||||
\(769\) | −52.2936 | − | 43.8795i | −0.00245222 | − | 0.00205765i | 0.641561 | − | 0.767072i | \(-0.278287\pi\) |
−0.644013 | + | 0.765015i | \(0.722732\pi\) | |||||||
\(770\) | 2554.96 | − | 5613.78i | 0.119577 | − | 0.262736i | ||||
\(771\) | 1363.66 | − | 3503.76i | 0.0636977 | − | 0.163664i | ||||
\(772\) | 2475.87 | − | 483.832i | 0.115425 | − | 0.0225563i | ||||
\(773\) | −3293.13 | − | 1901.29i | −0.153229 | − | 0.0884666i | 0.421425 | − | 0.906863i | \(-0.361530\pi\) |
−0.574654 | + | 0.818397i | \(0.694863\pi\) | |||||||
\(774\) | −6403.21 | + | 20939.9i | −0.297363 | + | 0.972443i | ||||
\(775\) | −573.046 | + | 330.848i | −0.0265605 | + | 0.0153347i | ||||
\(776\) | −11169.4 | + | 16930.3i | −0.516699 | + | 0.783200i | ||||
\(777\) | 138.172 | − | 6252.88i | 0.00637954 | − | 0.288701i | ||||
\(778\) | 1988.98 | − | 1420.23i | 0.0916561 | − | 0.0654469i | ||||
\(779\) | 3648.42 | − | 20691.2i | 0.167802 | − | 0.951655i | ||||
\(780\) | 18257.0 | − | 6569.85i | 0.838083 | − | 0.301588i | ||||
\(781\) | 920.604 | − | 772.479i | 0.0421790 | − | 0.0353924i | ||||
\(782\) | 50949.9 | − | 14157.1i | 2.32988 | − | 0.647389i | ||||
\(783\) | 27733.7 | − | 3014.00i | 1.26580 | − | 0.137563i | ||||
\(784\) | 9138.69 | − | 17270.7i | 0.416303 | − | 0.786749i | ||||
\(785\) | 3056.87 | + | 3643.03i | 0.138986 | + | 0.165637i | ||||
\(786\) | −10037.8 | + | 20822.4i | −0.455518 | + | 0.944925i | ||||
\(787\) | −14217.9 | − | 2507.01i | −0.643983 | − | 0.113552i | −0.157887 | − | 0.987457i | \(-0.550468\pi\) |
−0.486096 | + | 0.873905i | \(0.661579\pi\) | |||||||
\(788\) | −8327.34 | − | 6729.55i | −0.376458 | − | 0.304226i | ||||
\(789\) | 7431.17 | + | 13554.2i | 0.335307 | + | 0.611585i | ||||
\(790\) | 29712.0 | − | 14190.2i | 1.33811 | − | 0.639068i | ||||
\(791\) | 2460.43 | + | 4261.59i | 0.110598 | + | 0.191561i | ||||
\(792\) | 1429.20 | + | 20163.9i | 0.0641215 | + | 0.904664i | ||||
\(793\) | −8091.45 | + | 14014.8i | −0.362340 | + | 0.627591i | ||||
\(794\) | 860.181 | − | 11000.0i | 0.0384467 | − | 0.491658i | ||||
\(795\) | 5535.52 | − | 4440.20i | 0.246949 | − | 0.198085i | ||||
\(796\) | 6680.70 | − | 42455.3i | 0.297476 | − | 1.89044i | ||||
\(797\) | 15099.7 | − | 17995.1i | 0.671091 | − | 0.799775i | −0.317841 | − | 0.948144i | \(-0.602958\pi\) |
0.988932 | + | 0.148369i | \(0.0474023\pi\) | |||||||
\(798\) | 8334.07 | − | 3756.47i | 0.369703 | − | 0.166638i | ||||
\(799\) | −2227.21 | + | 6119.22i | −0.0986147 | + | 0.270942i | ||||
\(800\) | 1191.53 | − | 1306.88i | 0.0526586 | − | 0.0577564i | ||||
\(801\) | −7723.07 | + | 18616.0i | −0.340676 | + | 0.821177i | ||||
\(802\) | −13482.4 | − | 13235.9i | −0.593617 | − | 0.582762i | ||||
\(803\) | 3391.26 | + | 19232.8i | 0.149035 | + | 0.845219i | ||||
\(804\) | 20090.3 | + | 73.1167i | 0.881255 | + | 0.00320725i | ||||
\(805\) | −10269.2 | + | 3737.70i | −0.449619 | + | 0.163648i | ||||
\(806\) | 802.526 | + | 8291.05i | 0.0350717 | + | 0.362332i | ||||
\(807\) | 7308.23 | + | 21549.0i | 0.318788 | + | 0.939975i | ||||
\(808\) | −2588.09 | + | 43383.9i | −0.112684 | + | 1.88891i | ||||
\(809\) | 4196.59i | 0.182379i | 0.995834 | + | 0.0911893i | \(0.0290668\pi\) | ||||
−0.995834 | + | 0.0911893i | \(0.970933\pi\) | |||||||
\(810\) | −19257.6 | − | 10910.9i | −0.835363 | − | 0.473297i | ||||
\(811\) | − | 9897.12i | − | 0.428526i | −0.976776 | − | 0.214263i | \(-0.931265\pi\) | ||
0.976776 | − | 0.214263i | \(-0.0687350\pi\) | |||||||
\(812\) | −3170.44 | + | 9237.67i | −0.137021 | + | 0.399235i | ||||
\(813\) | 6931.77 | + | 20439.0i | 0.299026 | + | 0.881704i | ||||
\(814\) | 18262.0 | − | 1767.65i | 0.786342 | − | 0.0761134i | ||||
\(815\) | 15071.8 | − | 5485.68i | 0.647781 | − | 0.235773i | ||||
\(816\) | −32191.0 | + | 19226.9i | −1.38102 | + | 0.824847i | ||||
\(817\) | 5044.28 | + | 28607.5i | 0.216006 | + | 1.22503i | ||||
\(818\) | −19275.5 | + | 19634.6i | −0.823904 | + | 0.839251i | ||||
\(819\) | −7146.95 | + | 936.884i | −0.304926 | + | 0.0399724i | ||||
\(820\) | −328.648 | − | 17806.6i | −0.0139962 | − | 0.758335i | ||||
\(821\) | −522.911 | + | 1436.69i | −0.0222287 | + | 0.0610727i | −0.950311 | − | 0.311303i | \(-0.899235\pi\) |
0.928082 | + | 0.372376i | \(0.121457\pi\) | |||||||
\(822\) | 7131.71 | + | 15822.4i | 0.302612 | + | 0.671373i | ||||
\(823\) | 12413.8 | − | 14794.2i | 0.525783 | − | 0.626603i | −0.436155 | − | 0.899871i | \(-0.643660\pi\) |
0.961938 | + | 0.273268i | \(0.0881046\pi\) | |||||||
\(824\) | −13925.0 | + | 1607.73i | −0.588712 | + | 0.0679709i | ||||
\(825\) | 1310.26 | − | 1051.00i | 0.0552940 | − | 0.0443529i | ||||
\(826\) | 3509.64 | + | 274.447i | 0.147840 | + | 0.0115608i | ||||
\(827\) | −6400.70 | + | 11086.3i | −0.269135 | + | 0.466155i | −0.968639 | − | 0.248474i | \(-0.920071\pi\) |
0.699504 | + | 0.714629i | \(0.253404\pi\) | |||||||
\(828\) | 23720.7 | − | 26835.5i | 0.995593 | − | 1.12633i | ||||
\(829\) | −3676.07 | − | 6367.13i | −0.154011 | − | 0.266755i | 0.778688 | − | 0.627412i | \(-0.215886\pi\) |
−0.932698 | + | 0.360657i | \(0.882552\pi\) | |||||||
\(830\) | 12761.9 | + | 26721.5i | 0.533703 | + | 1.11749i | ||||
\(831\) | −17251.2 | − | 31465.5i | −0.720142 | − | 1.31351i | ||||
\(832\) | −8760.40 | − | 20467.1i | −0.365039 | − | 0.852847i | ||||
\(833\) | 33900.5 | + | 5977.57i | 1.41006 | + | 0.248632i | ||||
\(834\) | 22369.9 | + | 10783.8i | 0.928784 | + | 0.447737i | ||||
\(835\) | −24837.3 | − | 29599.9i | −1.02938 | − | 1.22676i | ||||
\(836\) | 13834.7 | + | 22972.6i | 0.572346 | + | 0.950388i | ||||
\(837\) | 6576.52 | − | 6858.50i | 0.271587 | − | 0.283231i | ||||
\(838\) | −4296.35 | − | 15462.1i | −0.177106 | − | 0.637385i | ||||
\(839\) | 19622.1 | − | 16464.9i | 0.807425 | − | 0.677510i | −0.142566 | − | 0.989785i | \(-0.545535\pi\) |
0.949992 | + | 0.312275i | \(0.101091\pi\) | |||||||
\(840\) | 6322.61 | − | 4480.00i | 0.259703 | − | 0.184017i | ||||
\(841\) | −2630.74 | + | 14919.7i | −0.107866 | + | 0.611738i | ||||
\(842\) | 24404.0 | + | 34177.0i | 0.998835 | + | 1.39883i | ||||
\(843\) | −115.402 | + | 5222.45i | −0.00471491 | + | 0.213370i | ||||
\(844\) | 22580.1 | − | 19668.3i | 0.920900 | − | 0.802146i | ||||
\(845\) | 2847.10 | − | 1643.77i | 0.115909 | − | 0.0669201i | ||||
\(846\) | 991.940 | + | 4297.62i | 0.0403116 | + | 0.174652i | ||||
\(847\) | 1255.96 | + | 725.131i | 0.0509509 | + | 0.0294165i | ||||
\(848\) | −5460.36 | − | 6039.98i | −0.221120 | − | 0.244592i | ||||
\(849\) | 16125.9 | − | 41433.7i | 0.651872 | − | 1.67491i | ||||
\(850\) | 2835.78 | + | 1290.63i | 0.114431 | + | 0.0520801i | ||||
\(851\) | −24902.6 | − | 20895.8i | −1.00312 | − | 0.841714i | ||||
\(852\) | 1487.83 | − | 256.765i | 0.0598266 | − | 0.0103247i | ||||
\(853\) | −11172.2 | − | 4066.36i | −0.448452 | − | 0.163223i | 0.107914 | − | 0.994160i | \(-0.465583\pi\) |
−0.556367 | + | 0.830937i | \(0.687805\pi\) | |||||||
\(854\) | −1615.04 | + | 6257.83i | −0.0647139 | + | 0.250748i | ||||
\(855\) | −29334.2 | − | 1297.05i | −1.17334 | − | 0.0518809i | ||||
\(856\) | 10773.7 | − | 45174.5i | 0.430184 | − | 1.80377i | ||||
\(857\) | 22086.1 | − | 3894.37i | 0.880334 | − | 0.155227i | 0.284829 | − | 0.958578i | \(-0.408063\pi\) |
0.595505 | + | 0.803352i | \(0.296952\pi\) | |||||||
\(858\) | −5209.49 | − | 20493.2i | −0.207283 | − | 0.815416i | ||||
\(859\) | 540.253 | + | 1484.33i | 0.0214589 | + | 0.0589579i | 0.949960 | − | 0.312373i | \(-0.101124\pi\) |
−0.928501 | + | 0.371331i | \(0.878902\pi\) | |||||||
\(860\) | 8847.30 | + | 22979.2i | 0.350803 | + | 0.911145i | ||||
\(861\) | −1292.55 | + | 6488.67i | −0.0511613 | + | 0.256833i | ||||
\(862\) | 21415.9 | + | 14702.9i | 0.846204 | + | 0.580956i | ||||
\(863\) | −2245.52 | −0.0885729 | −0.0442865 | − | 0.999019i | \(-0.514101\pi\) | ||||
−0.0442865 | + | 0.999019i | \(0.514101\pi\) | |||||||
\(864\) | −11194.4 | + | 22796.0i | −0.440789 | + | 0.897611i | ||||
\(865\) | 20723.4 | 0.814587 | ||||||||
\(866\) | −13203.5 | − | 9064.81i | −0.518100 | − | 0.355698i | ||||
\(867\) | −30463.7 | − | 26730.9i | −1.19331 | − | 1.04709i | ||||
\(868\) | 1195.27 | + | 3104.48i | 0.0467396 | + | 0.121397i | ||||
\(869\) | −12272.6 | − | 33718.7i | −0.479078 | − | 1.31626i | ||||
\(870\) | 22465.9 | − | 21895.1i | 0.875477 | − | 0.853233i | ||||
\(871\) | −20695.9 | + | 3649.24i | −0.805113 | + | 0.141963i | ||||
\(872\) | 1546.17 | − | 6483.15i | 0.0600460 | − | 0.251774i | ||||
\(873\) | −23086.2 | + | 7264.97i | −0.895015 | + | 0.281652i | ||||
\(874\) | 11873.6 | − | 46006.9i | 0.459532 | − | 1.78056i | ||||
\(875\) | −8346.46 | − | 3037.86i | −0.322471 | − | 0.117370i | ||||
\(876\) | −8475.56 | + | 23025.3i | −0.326898 | + | 0.888075i | ||||
\(877\) | 35286.9 | + | 29609.2i | 1.35867 | + | 1.14006i | 0.976390 | + | 0.216014i | \(0.0693056\pi\) |
0.382281 | + | 0.924046i | \(0.375139\pi\) | |||||||
\(878\) | −23292.7 | − | 10601.0i | −0.895321 | − | 0.407480i | ||||
\(879\) | 24412.3 | − | 3750.48i | 0.936752 | − | 0.143914i | ||||
\(880\) | 15244.1 | + | 16862.3i | 0.583954 | + | 0.645941i | ||||
\(881\) | 24415.1 | + | 14096.1i | 0.933675 | + | 0.539057i | 0.887972 | − | 0.459898i | \(-0.152114\pi\) |
0.0457027 | + | 0.998955i | \(0.485447\pi\) | |||||||
\(882\) | 21462.4 | − | 9108.90i | 0.819362 | − | 0.347747i | ||||
\(883\) | −33353.8 | + | 19256.8i | −1.27117 | + | 0.733912i | −0.975209 | − | 0.221287i | \(-0.928974\pi\) |
−0.295964 | + | 0.955199i | \(0.595641\pi\) | |||||||
\(884\) | 29575.2 | − | 25761.3i | 1.12525 | − | 0.980145i | ||||
\(885\) | −9665.27 | − | 5868.69i | −0.367112 | − | 0.222908i | ||||
\(886\) | 16112.2 | + | 22564.6i | 0.610948 | + | 0.855611i | ||||
\(887\) | −472.869 | + | 2681.77i | −0.0179001 | + | 0.101516i | −0.992449 | − | 0.122659i | \(-0.960858\pi\) |
0.974549 | + | 0.224176i | \(0.0719689\pi\) | |||||||
\(888\) | 20944.9 | + | 9624.67i | 0.791516 | + | 0.363719i | ||||
\(889\) | 2728.64 | − | 2289.60i | 0.102942 | − | 0.0863789i | ||||
\(890\) | 6067.59 | + | 21836.6i | 0.228524 | + | 0.822431i | ||||
\(891\) | −13857.0 | + | 19743.3i | −0.521019 | + | 0.742340i | ||||
\(892\) | 2954.82 | + | 4906.51i | 0.110913 | + | 0.184173i | ||||
\(893\) | 3761.05 | + | 4482.24i | 0.140939 | + | 0.167965i | ||||
\(894\) | −16316.7 | + | 11114.9i | −0.610414 | + | 0.415816i | ||||
\(895\) | 40208.5 | + | 7089.84i | 1.50170 | + | 0.264790i | ||||
\(896\) | −5559.19 | − | 6938.82i | −0.207276 | − | 0.258716i | ||||
\(897\) | −19444.7 | + | 32023.9i | −0.723791 | + | 1.19203i | ||||
\(898\) | −8053.67 | − | 16863.1i | −0.299281 | − | 0.626648i | ||||
\(899\) | 6733.72 | + | 11663.2i | 0.249813 | + | 0.432690i | ||||
\(900\) | 2086.96 | − | 312.851i | 0.0772947 | − | 0.0115871i | ||||
\(901\) | 7172.27 | − | 12422.7i | 0.265197 | − | 0.459335i | ||||
\(902\) | −19349.4 | − | 1513.09i | −0.714264 | − | 0.0558541i | ||||
\(903\) | −1389.04 | − | 9041.38i | −0.0511896 | − | 0.333199i | ||||
\(904\) | −18016.0 | + | 2080.08i | −0.662837 | + | 0.0765292i | ||||
\(905\) | 11328.8 | − | 13501.2i | 0.416113 | − | 0.495904i | ||||
\(906\) | −13505.1 | + | 18768.7i | −0.495230 | + | 0.688241i | ||||
\(907\) | −158.995 | + | 436.834i | −0.00582065 | + | 0.0159921i | −0.942569 | − | 0.334012i | \(-0.891597\pi\) |
0.936748 | + | 0.350004i | \(0.113820\pi\) | |||||||
\(908\) | −817.922 | − | 44316.3i | −0.0298939 | − | 1.61970i | ||||
\(909\) | −35057.0 | + | 38215.4i | −1.27917 | + | 1.39442i | ||||
\(910\) | −5678.40 | + | 5784.17i | −0.206854 | + | 0.210707i | ||||
\(911\) | 5092.18 | + | 28879.2i | 0.185194 | + | 1.05029i | 0.925706 | + | 0.378243i | \(0.123472\pi\) |
−0.740513 | + | 0.672043i | \(0.765417\pi\) | |||||||
\(912\) | 499.113 | + | 33687.3i | 0.0181220 | + | 1.22313i | ||||
\(913\) | 30324.9 | − | 11037.4i | 1.09924 | − | 0.400091i | ||||
\(914\) | −50854.8 | + | 4922.45i | −1.84040 | + | 0.178140i | ||||
\(915\) | 13691.6 | − | 15603.6i | 0.494680 | − | 0.563759i | ||||
\(916\) | −14360.9 | + | 41843.2i | −0.518011 | + | 1.50932i | ||||
\(917\) | − | 9656.49i | − | 0.347749i | ||||||
\(918\) | −44276.4 | − | 6434.73i | −1.59187 | − | 0.231348i | ||||
\(919\) | 31247.0i | 1.12159i | 0.827953 | + | 0.560797i | \(0.189505\pi\) | ||||
−0.827953 | + | 0.560797i | \(0.810495\pi\) | |||||||
\(920\) | 2398.42 | − | 40204.5i | 0.0859496 | − | 1.44077i | ||||
\(921\) | −35052.3 | − | 6982.43i | −1.25408 | − | 0.249814i | ||||
\(922\) | −2349.80 | − | 24276.2i | −0.0839333 | − | 0.867132i | ||||
\(923\) | −1484.08 | + | 540.160i | −0.0529241 | + | 0.0192628i | ||||
\(924\) | −4195.64 | − | 7328.53i | −0.149379 | − | 0.260921i | ||||
\(925\) | −332.598 | − | 1886.25i | −0.0118224 | − | 0.0670483i | ||||
\(926\) | 8859.04 | + | 8697.04i | 0.314391 | + | 0.308642i | ||||
\(927\) | −14101.8 | − | 8994.82i | −0.499637 | − | 0.318693i | ||||
\(928\) | −26598.7 | − | 24251.1i | −0.940891 | − | 0.857846i | ||||
\(929\) | −390.037 | + | 1071.62i | −0.0137747 | + | 0.0378457i | −0.946389 | − | 0.323028i | \(-0.895299\pi\) |
0.932615 | + | 0.360874i | \(0.117521\pi\) | |||||||
\(930\) | 1068.16 | − | 10631.7i | 0.0376626 | − | 0.374868i | ||||
\(931\) | 19881.7 | − | 23694.1i | 0.699888 | − | 0.834094i | ||||
\(932\) | −6066.61 | + | 38552.8i | −0.213217 | + | 1.35498i | ||||
\(933\) | −16397.0 | − | 6381.67i | −0.575362 | − | 0.223930i | ||||
\(934\) | −2935.57 | + | 37540.2i | −0.102842 | + | 1.31515i | ||||
\(935\) | −20023.4 | + | 34681.5i | −0.700358 | + | 1.21306i | ||||
\(936\) | 7298.20 | − | 25543.1i | 0.254860 | − | 0.891991i | ||||
\(937\) | −14316.3 | − | 24796.6i | −0.499139 | − | 0.864535i | 0.500860 | − | 0.865528i | \(-0.333017\pi\) |
−1.00000 | 0.000993440i | \(0.999684\pi\) | ||||||||
\(938\) | −7573.33 | + | 3616.95i | −0.263623 | + | 0.125904i | ||||
\(939\) | −32778.8 | − | 724.326i | −1.13919 | − | 0.0251730i | ||||
\(940\) | 3857.60 | + | 3117.44i | 0.133852 | + | 0.108170i | ||||
\(941\) | 31737.8 | + | 5596.23i | 1.09949 | + | 0.193870i | 0.693821 | − | 0.720148i | \(-0.255926\pi\) |
0.405673 | + | 0.914018i | \(0.367037\pi\) | |||||||
\(942\) | 6493.06 | − | 483.976i | 0.224581 | − | 0.0167397i | ||||
\(943\) | 22104.4 | + | 26343.0i | 0.763328 | + | 0.909699i | ||||
\(944\) | −6068.07 | + | 11467.7i | −0.209215 | + | 0.395384i | ||||
\(945\) | 9226.04 | + | 612.411i | 0.317590 | + | 0.0210812i | ||||
\(946\) | 25854.6 | − | 7184.05i | 0.888588 | − | 0.246906i | ||||
\(947\) | −22388.3 | + | 18786.0i | −0.768240 | + | 0.644630i | −0.940257 | − | 0.340464i | \(-0.889416\pi\) |
0.172018 | + | 0.985094i | \(0.444971\pi\) | |||||||
\(948\) | 7989.72 | − | 44367.1i | 0.273728 | − | 1.52002i | ||||
\(949\) | 4456.70 | − | 25275.2i | 0.152445 | − | 0.864560i | ||||
\(950\) | 2278.31 | − | 1626.82i | 0.0778086 | − | 0.0555591i | ||||
\(951\) | −26618.5 | + | 14593.8i | −0.907639 | + | 0.497621i | ||||
\(952\) | 8625.78 | − | 13074.8i | 0.293659 | − | 0.445121i | ||||
\(953\) | 20625.2 | − | 11908.0i | 0.701067 | − | 0.404761i | −0.106678 | − | 0.994294i | \(-0.534021\pi\) |
0.807745 | + | 0.589532i | \(0.200688\pi\) | |||||||
\(954\) | −507.960 | − | 9702.44i | −0.0172388 | − | 0.329275i | ||||
\(955\) | −15725.8 | − | 9079.31i | −0.532854 | − | 0.307643i | ||||
\(956\) | −31873.0 | + | 6228.60i | −1.07829 | + | 0.210719i | ||||
\(957\) | −21390.9 | − | 26667.7i | −0.722540 | − | 0.900777i | ||||
\(958\) | −7524.21 | + | 16532.3i | −0.253754 | + | 0.557551i | ||||
\(959\) | −5553.95 | − | 4660.32i | −0.187014 | − | 0.156923i | ||||
\(960\) | 5891.90 | + | 27944.1i | 0.198084 | + | 0.939470i | ||||
\(961\) | −23683.8 | − | 8620.21i | −0.795000 | − | 0.289356i | ||||
\(962\) | −23346.5 | − | 6025.35i | −0.782455 | − | 0.201939i | ||||
\(963\) | 43983.1 | − | 33710.7i | 1.47179 | − | 1.12805i | ||||
\(964\) | −29474.4 | − | 16299.4i | −0.984756 | − | 0.544571i | ||||
\(965\) | 3333.57 | − | 587.799i | 0.111204 | − | 0.0196082i | ||||
\(966\) | −4058.14 | + | 14401.4i | −0.135164 | + | 0.479665i | ||||
\(967\) | −3561.07 | − | 9783.95i | −0.118424 | − | 0.325368i | 0.866291 | − | 0.499540i | \(-0.166497\pi\) |
−0.984715 | + | 0.174172i | \(0.944275\pi\) | |||||||
\(968\) | −4291.77 | + | 3185.72i | −0.142503 | + | 0.105778i | ||||
\(969\) | −56209.8 | + | 19063.3i | −1.86349 | + | 0.631993i | ||||
\(970\) | −15404.0 | + | 22436.9i | −0.509888 | + | 0.742688i | ||||
\(971\) | 419.119 | 0.0138519 | 0.00692594 | − | 0.999976i | \(-0.497795\pi\) | ||||
0.00692594 | + | 0.999976i | \(0.497795\pi\) | |||||||
\(972\) | −27525.2 | + | 12676.5i | −0.908304 | + | 0.418310i | ||||
\(973\) | −10374.1 | −0.341808 | ||||||||
\(974\) | −7892.78 | + | 11496.4i | −0.259652 | + | 0.378201i | ||||
\(975\) | −2090.46 | + | 708.970i | −0.0686650 | + | 0.0232874i | ||||
\(976\) | −18798.8 | − | 14626.7i | −0.616532 | − | 0.479703i | ||||
\(977\) | 4208.92 | + | 11563.9i | 0.137825 | + | 0.378672i | 0.989333 | − | 0.145670i | \(-0.0465337\pi\) |
−0.851508 | + | 0.524342i | \(0.824312\pi\) | |||||||
\(978\) | 5955.98 | − | 21136.4i | 0.194735 | − | 0.691070i | ||||
\(979\) | 24323.3 | − | 4288.85i | 0.794051 | − | 0.140013i | ||||
\(980\) | 12688.0 | − | 22943.9i | 0.413575 | − | 0.747873i | ||||
\(981\) | 6312.17 | − | 4837.94i | 0.205435 | − | 0.157455i | ||||
\(982\) | 30808.8 | + | 7951.25i | 1.00117 | + | 0.258385i | ||||
\(983\) | 38343.6 | + | 13955.9i | 1.24412 | + | 0.452823i | 0.878411 | − | 0.477907i | \(-0.158604\pi\) |
0.365709 | + | 0.930729i | \(0.380826\pi\) | |||||||
\(984\) | −20051.8 | − | 13874.1i | −0.649622 | − | 0.449482i | ||||
\(985\) | −11005.2 | − | 9234.48i | −0.355996 | − | 0.298716i | ||||
\(986\) | 26268.0 | − | 57716.3i | 0.848421 | − | 1.86416i | ||||
\(987\) | −1152.88 | − | 1437.27i | −0.0371799 | − | 0.0463515i | ||||
\(988\) | −6759.07 | − | 34587.5i | −0.217647 | − | 1.11374i | ||||
\(989\) | −41175.3 | − | 23772.6i | −1.32386 | − | 0.764331i | ||||
\(990\) | 1418.11 | + | 27087.1i | 0.0455259 | + | 0.869580i | ||||
\(991\) | 18971.6 | − | 10953.3i | 0.608126 | − | 0.351101i | −0.164106 | − | 0.986443i | \(-0.552474\pi\) |
0.772231 | + | 0.635341i | \(0.219141\pi\) | |||||||
\(992\) | −12249.9 | − | 504.127i | −0.392070 | − | 0.0161351i | ||||
\(993\) | −5596.60 | + | 3068.38i | −0.178855 | + | 0.0980586i | ||||
\(994\) | −513.300 | + | 366.521i | −0.0163792 | + | 0.0116955i | ||||
\(995\) | 10014.0 | − | 56792.1i | 0.319060 | − | 1.80948i | ||||
\(996\) | 39901.6 | + | 7185.56i | 1.26941 | + | 0.228598i | ||||
\(997\) | 8316.12 | − | 6978.06i | 0.264167 | − | 0.221662i | −0.501077 | − | 0.865403i | \(-0.667063\pi\) |
0.765244 | + | 0.643740i | \(0.222618\pi\) | |||||||
\(998\) | −46847.9 | + | 13017.3i | −1.48592 | + | 0.412882i | ||||
\(999\) | 12144.6 | + | 24678.4i | 0.384621 | + | 0.781573i |
(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 | 108.4.l.a.59.10 | yes | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.59.19 | yes | 312 | |
27.11 | odd | 18 | inner | 108.4.l.a.11.19 | yes | 312 | |
108.11 | even | 18 | inner | 108.4.l.a.11.10 | ✓ | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.10 | ✓ | 312 | 108.11 | even | 18 | inner | |
108.4.l.a.11.19 | yes | 312 | 27.11 | odd | 18 | inner | |
108.4.l.a.59.10 | yes | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.59.19 | yes | 312 | 4.3 | odd | 2 | inner |