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 | 59.8 | ||
Character | \(\chi\) | \(=\) | 108.59 |
Dual form | 108.4.l.a.11.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.61271 | − | 1.08339i | −0.923733 | − | 0.383037i | ||||
\(3\) | 2.79011 | − | 4.38352i | 0.536957 | − | 0.843610i | ||||
\(4\) | 5.65252 | + | 5.66118i | 0.706565 | + | 0.707648i | ||||
\(5\) | −1.04436 | − | 2.86937i | −0.0934108 | − | 0.256644i | 0.884184 | − | 0.467138i | \(-0.154715\pi\) |
−0.977595 | + | 0.210494i | \(0.932493\pi\) | |||||||
\(6\) | −12.0388 | + | 8.43010i | −0.819139 | + | 0.573595i | ||||
\(7\) | −28.5377 | + | 5.03197i | −1.54089 | + | 0.271701i | −0.878604 | − | 0.477550i | \(-0.841525\pi\) |
−0.662286 | + | 0.749251i | \(0.730414\pi\) | |||||||
\(8\) | −8.63512 | − | 20.9149i | −0.381622 | − | 0.924319i | ||||
\(9\) | −11.4306 | − | 24.4610i | −0.423354 | − | 0.905964i | ||||
\(10\) | −0.380029 | + | 8.62829i | −0.0120176 | + | 0.272850i | ||||
\(11\) | 41.0637 | + | 14.9460i | 1.12556 | + | 0.409671i | 0.836679 | − | 0.547693i | \(-0.184494\pi\) |
0.288883 | + | 0.957364i | \(0.406716\pi\) | |||||||
\(12\) | 40.5871 | − | 8.98262i | 0.976374 | − | 0.216088i | ||||
\(13\) | −49.8954 | − | 41.8672i | −1.06450 | − | 0.893222i | −0.0699573 | − | 0.997550i | \(-0.522286\pi\) |
−0.994543 | + | 0.104328i | \(0.966731\pi\) | |||||||
\(14\) | 80.0124 | + | 17.7705i | 1.52744 | + | 0.339240i | ||||
\(15\) | −15.4918 | − | 3.42786i | −0.266665 | − | 0.0590046i | ||||
\(16\) | −0.0980222 | + | 63.9999i | −0.00153160 | + | 0.999999i | ||||
\(17\) | −54.6110 | − | 31.5297i | −0.779125 | − | 0.449828i | 0.0569954 | − | 0.998374i | \(-0.481848\pi\) |
−0.836120 | + | 0.548547i | \(0.815181\pi\) | |||||||
\(18\) | 3.36385 | + | 76.2934i | 0.0440481 | + | 0.999029i | ||||
\(19\) | −112.171 | + | 64.7622i | −1.35441 | + | 0.781971i | −0.988864 | − | 0.148820i | \(-0.952452\pi\) |
−0.365550 | + | 0.930792i | \(0.619119\pi\) | |||||||
\(20\) | 10.3407 | − | 22.1315i | 0.115613 | − | 0.247438i | ||||
\(21\) | −57.5656 | + | 139.135i | −0.598183 | + | 1.44580i | ||||
\(22\) | −91.0953 | − | 83.5377i | −0.882799 | − | 0.809559i | ||||
\(23\) | −16.6095 | + | 94.1969i | −0.150579 | + | 0.853975i | 0.812138 | + | 0.583465i | \(0.198303\pi\) |
−0.962717 | + | 0.270510i | \(0.912808\pi\) | |||||||
\(24\) | −115.774 | − | 20.5028i | −0.984679 | − | 0.174380i | ||||
\(25\) | 88.6130 | − | 74.3551i | 0.708904 | − | 0.594841i | ||||
\(26\) | 85.0037 | + | 163.443i | 0.641177 | + | 1.23284i | ||||
\(27\) | −139.118 | − | 18.1429i | −0.991603 | − | 0.129318i | ||||
\(28\) | −189.797 | − | 133.114i | −1.28101 | − | 0.898434i | ||||
\(29\) | −50.6360 | − | 60.3456i | −0.324237 | − | 0.386410i | 0.579162 | − | 0.815213i | \(-0.303380\pi\) |
−0.903398 | + | 0.428803i | \(0.858936\pi\) | |||||||
\(30\) | 36.7620 | + | 25.7397i | 0.223726 | + | 0.156647i | ||||
\(31\) | 31.3820 | + | 5.53349i | 0.181818 | + | 0.0320595i | 0.263816 | − | 0.964573i | \(-0.415019\pi\) |
−0.0819975 | + | 0.996633i | \(0.526130\pi\) | |||||||
\(32\) | 69.5932 | − | 167.107i | 0.384451 | − | 0.923145i | ||||
\(33\) | 180.088 | − | 138.303i | 0.949981 | − | 0.729559i | ||||
\(34\) | 108.524 | + | 141.543i | 0.547402 | + | 0.713954i | ||||
\(35\) | 44.2423 | + | 76.6299i | 0.213666 | + | 0.370081i | ||||
\(36\) | 73.8670 | − | 202.977i | 0.341977 | − | 0.939708i | ||||
\(37\) | −178.935 | + | 309.925i | −0.795048 | + | 1.37706i | 0.127761 | + | 0.991805i | \(0.459221\pi\) |
−0.922809 | + | 0.385258i | \(0.874112\pi\) | |||||||
\(38\) | 363.234 | − | 47.6792i | 1.55064 | − | 0.203542i | ||||
\(39\) | −322.740 | + | 101.904i | −1.32512 | + | 0.418401i | ||||
\(40\) | −50.9944 | + | 46.6201i | −0.201573 | + | 0.184282i | ||||
\(41\) | 165.509 | − | 197.245i | 0.630441 | − | 0.751330i | −0.352387 | − | 0.935854i | \(-0.614630\pi\) |
0.982828 | + | 0.184524i | \(0.0590743\pi\) | |||||||
\(42\) | 301.141 | − | 301.155i | 1.10636 | − | 1.10641i | ||||
\(43\) | 89.4918 | − | 245.877i | 0.317381 | − | 0.871997i | −0.673732 | − | 0.738976i | \(-0.735310\pi\) |
0.991113 | − | 0.133021i | \(-0.0424679\pi\) | |||||||
\(44\) | 147.502 | + | 316.952i | 0.505380 | + | 1.08596i | ||||
\(45\) | −58.2500 | + | 58.3447i | −0.192965 | + | 0.193278i | ||||
\(46\) | 145.448 | − | 228.115i | 0.466199 | − | 0.731167i | ||||
\(47\) | −43.0897 | − | 244.374i | −0.133729 | − | 0.758416i | −0.975736 | − | 0.218950i | \(-0.929737\pi\) |
0.842007 | − | 0.539467i | \(-0.181374\pi\) | |||||||
\(48\) | 280.272 | + | 178.997i | 0.842786 | + | 0.538249i | ||||
\(49\) | 466.765 | − | 169.889i | 1.36083 | − | 0.495302i | ||||
\(50\) | −312.076 | + | 98.2658i | −0.882684 | + | 0.277938i | ||||
\(51\) | −290.582 | + | 151.417i | −0.797836 | + | 0.415739i | ||||
\(52\) | −45.0168 | − | 519.123i | −0.120052 | − | 1.38441i | ||||
\(53\) | − | 493.653i | − | 1.27941i | −0.768623 | − | 0.639703i | \(-0.779058\pi\) | ||
0.768623 | − | 0.639703i | \(-0.220942\pi\) | |||||||
\(54\) | 343.819 | + | 198.122i | 0.866443 | + | 0.499277i | ||||
\(55\) | − | 133.436i | − | 0.327136i | ||||||
\(56\) | 351.670 | + | 553.413i | 0.839176 | + | 1.32059i | ||||
\(57\) | −29.0841 | + | 672.399i | −0.0675838 | + | 1.56248i | ||||
\(58\) | 66.9192 | + | 212.524i | 0.151499 | + | 0.481134i | ||||
\(59\) | 462.550 | − | 168.354i | 1.02066 | − | 0.371489i | 0.223142 | − | 0.974786i | \(-0.428369\pi\) |
0.797517 | + | 0.603297i | \(0.206147\pi\) | |||||||
\(60\) | −68.1622 | − | 107.078i | −0.146662 | − | 0.230396i | ||||
\(61\) | −65.4529 | − | 371.202i | −0.137383 | − | 0.779139i | −0.973170 | − | 0.230086i | \(-0.926099\pi\) |
0.835787 | − | 0.549054i | \(-0.185012\pi\) | |||||||
\(62\) | −75.9971 | − | 48.4564i | −0.155672 | − | 0.0992576i | ||||
\(63\) | 449.289 | + | 640.543i | 0.898494 | + | 1.28097i | ||||
\(64\) | −362.869 | + | 361.206i | −0.708729 | + | 0.705480i | ||||
\(65\) | −68.0235 | + | 186.893i | −0.129804 | + | 0.356634i | ||||
\(66\) | −620.355 | + | 166.239i | −1.15698 | + | 0.310040i | ||||
\(67\) | −101.431 | + | 120.881i | −0.184951 | + | 0.220416i | −0.850551 | − | 0.525893i | \(-0.823731\pi\) |
0.665600 | + | 0.746309i | \(0.268176\pi\) | |||||||
\(68\) | −130.195 | − | 487.385i | −0.232182 | − | 0.869179i | ||||
\(69\) | 366.572 | + | 335.628i | 0.639567 | + | 0.585577i | ||||
\(70\) | −32.5721 | − | 248.144i | −0.0556158 | − | 0.423698i | ||||
\(71\) | 157.422 | − | 272.663i | 0.263135 | − | 0.455763i | −0.703938 | − | 0.710261i | \(-0.748577\pi\) |
0.967073 | + | 0.254498i | \(0.0819102\pi\) | |||||||
\(72\) | −412.897 | + | 450.293i | −0.675838 | + | 0.737050i | ||||
\(73\) | −201.361 | − | 348.767i | −0.322842 | − | 0.559179i | 0.658231 | − | 0.752816i | \(-0.271305\pi\) |
−0.981073 | + | 0.193637i | \(0.937972\pi\) | |||||||
\(74\) | 803.276 | − | 615.887i | 1.26188 | − | 0.967506i | ||||
\(75\) | −78.6974 | − | 595.896i | −0.121163 | − | 0.917442i | ||||
\(76\) | −1000.68 | − | 268.953i | −1.51034 | − | 0.405935i | ||||
\(77\) | −1247.07 | − | 219.892i | −1.84568 | − | 0.325442i | ||||
\(78\) | 953.628 | + | 83.4094i | 1.38432 | + | 0.121080i | ||||
\(79\) | −252.641 | − | 301.086i | −0.359802 | − | 0.428795i | 0.555530 | − | 0.831497i | \(-0.312516\pi\) |
−0.915331 | + | 0.402702i | \(0.868071\pi\) | |||||||
\(80\) | 183.742 | − | 66.5580i | 0.256787 | − | 0.0930176i | ||||
\(81\) | −467.685 | + | 559.207i | −0.641543 | + | 0.767087i | ||||
\(82\) | −646.120 | + | 336.034i | −0.870147 | + | 0.452546i | ||||
\(83\) | 156.114 | − | 130.995i | 0.206455 | − | 0.173236i | −0.533697 | − | 0.845676i | \(-0.679198\pi\) |
0.740152 | + | 0.672439i | \(0.234753\pi\) | |||||||
\(84\) | −1113.06 | + | 460.576i | −1.44577 | + | 0.598250i | ||||
\(85\) | −33.4365 | + | 189.628i | −0.0426670 | + | 0.241976i | ||||
\(86\) | −500.198 | + | 545.450i | −0.627182 | + | 0.683924i | ||||
\(87\) | −405.806 | + | 53.5930i | −0.500080 | + | 0.0660434i | ||||
\(88\) | −41.9960 | − | 987.906i | −0.0508726 | − | 1.19672i | ||||
\(89\) | −524.506 | + | 302.823i | −0.624691 | + | 0.360665i | −0.778693 | − | 0.627405i | \(-0.784117\pi\) |
0.154002 | + | 0.988070i | \(0.450784\pi\) | |||||||
\(90\) | 215.401 | − | 89.3302i | 0.252280 | − | 0.104625i | ||||
\(91\) | 1634.58 | + | 943.722i | 1.88297 | + | 1.08713i | ||||
\(92\) | −627.151 | + | 438.421i | −0.710707 | + | 0.496832i | ||||
\(93\) | 111.815 | − | 122.125i | 0.124674 | − | 0.136169i | ||||
\(94\) | −152.172 | + | 685.161i | −0.166972 | + | 0.751797i | ||||
\(95\) | 302.974 | + | 254.226i | 0.327205 | + | 0.274558i | ||||
\(96\) | −538.345 | − | 771.311i | −0.572340 | − | 0.820016i | ||||
\(97\) | 1413.64 | + | 514.524i | 1.47973 | + | 0.538577i | 0.950723 | − | 0.310041i | \(-0.100343\pi\) |
0.529006 | + | 0.848618i | \(0.322565\pi\) | |||||||
\(98\) | −1403.58 | − | 61.8200i | −1.44676 | − | 0.0637221i | ||||
\(99\) | −103.787 | − | 1175.30i | −0.105364 | − | 1.19315i | ||||
\(100\) | 921.825 | + | 81.3606i | 0.921825 | + | 0.0813606i | ||||
\(101\) | 895.811 | − | 157.956i | 0.882540 | − | 0.155616i | 0.286029 | − | 0.958221i | \(-0.407665\pi\) |
0.596511 | + | 0.802605i | \(0.296553\pi\) | |||||||
\(102\) | 923.251 | − | 80.7955i | 0.896230 | − | 0.0784309i | ||||
\(103\) | 56.6315 | + | 155.594i | 0.0541755 | + | 0.148846i | 0.963829 | − | 0.266523i | \(-0.0858748\pi\) |
−0.909653 | + | 0.415369i | \(0.863653\pi\) | |||||||
\(104\) | −444.798 | + | 1405.09i | −0.419385 | + | 1.32481i | ||||
\(105\) | 459.350 | + | 19.8688i | 0.426933 | + | 0.0184666i | ||||
\(106\) | −534.820 | + | 1289.77i | −0.490060 | + | 1.18183i | ||||
\(107\) | −1218.18 | −1.10062 | −0.550308 | − | 0.834962i | \(-0.685490\pi\) | ||||
−0.550308 | + | 0.834962i | \(0.685490\pi\) | |||||||
\(108\) | −683.658 | − | 890.126i | −0.609120 | − | 0.793078i | ||||
\(109\) | 166.628 | 0.146423 | 0.0732114 | − | 0.997316i | \(-0.476675\pi\) | ||||
0.0732114 | + | 0.997316i | \(0.476675\pi\) | |||||||
\(110\) | −144.564 | + | 348.630i | −0.125305 | + | 0.302187i | ||||
\(111\) | 859.314 | + | 1649.09i | 0.734797 | + | 1.41013i | ||||
\(112\) | −319.248 | − | 1826.90i | −0.269340 | − | 1.54131i | ||||
\(113\) | −153.871 | − | 422.757i | −0.128097 | − | 0.351944i | 0.859020 | − | 0.511941i | \(-0.171074\pi\) |
−0.987117 | + | 0.159998i | \(0.948851\pi\) | |||||||
\(114\) | 804.461 | − | 1725.28i | 0.660918 | − | 1.41743i | ||||
\(115\) | 287.632 | − | 50.7173i | 0.233233 | − | 0.0411253i | ||||
\(116\) | 55.4067 | − | 627.764i | 0.0443481 | − | 0.502469i | ||||
\(117\) | −453.783 | + | 1699.06i | −0.358567 | + | 1.34255i | ||||
\(118\) | −1390.90 | − | 61.2617i | −1.08511 | − | 0.0477932i | ||||
\(119\) | 1717.13 | + | 624.984i | 1.32276 | + | 0.481447i | ||||
\(120\) | 62.0804 | + | 353.611i | 0.0472261 | + | 0.269001i | ||||
\(121\) | 443.243 | + | 371.925i | 0.333015 | + | 0.279433i | ||||
\(122\) | −231.148 | + | 1040.75i | −0.171534 | + | 0.772340i | ||||
\(123\) | −402.843 | − | 1275.85i | −0.295310 | − | 0.935278i | ||||
\(124\) | 146.061 | + | 208.937i | 0.105780 | + | 0.151316i | ||||
\(125\) | −636.449 | − | 367.454i | −0.455406 | − | 0.262929i | ||||
\(126\) | −479.902 | − | 2160.31i | −0.339310 | − | 1.52743i | ||||
\(127\) | −1761.08 | + | 1016.76i | −1.23048 | + | 0.710416i | −0.967129 | − | 0.254285i | \(-0.918160\pi\) |
−0.263347 | + | 0.964701i | \(0.584827\pi\) | |||||||
\(128\) | 1339.40 | − | 550.597i | 0.924902 | − | 0.380206i | ||||
\(129\) | −828.115 | − | 1078.31i | −0.565205 | − | 0.735970i | ||||
\(130\) | 380.204 | − | 414.601i | 0.256509 | − | 0.279715i | ||||
\(131\) | 228.625 | − | 1296.60i | 0.152481 | − | 0.864765i | −0.808571 | − | 0.588399i | \(-0.799759\pi\) |
0.961052 | − | 0.276366i | \(-0.0891303\pi\) | |||||||
\(132\) | 1800.91 | + | 237.754i | 1.18749 | + | 0.156771i | ||||
\(133\) | 2875.23 | − | 2412.61i | 1.87454 | − | 1.57293i | ||||
\(134\) | 395.970 | − | 205.936i | 0.255273 | − | 0.132763i | ||||
\(135\) | 93.2314 | + | 418.129i | 0.0594376 | + | 0.266569i | ||||
\(136\) | −187.869 | + | 1414.45i | −0.118453 | + | 0.891823i | ||||
\(137\) | 436.206 | + | 519.850i | 0.272026 | + | 0.324188i | 0.884712 | − | 0.466139i | \(-0.154355\pi\) |
−0.612686 | + | 0.790327i | \(0.709911\pi\) | |||||||
\(138\) | −594.131 | − | 1274.04i | −0.366491 | − | 0.785895i | ||||
\(139\) | 1948.79 | + | 343.623i | 1.18916 | + | 0.209682i | 0.733009 | − | 0.680219i | \(-0.238115\pi\) |
0.456155 | + | 0.889900i | \(0.349226\pi\) | |||||||
\(140\) | −183.736 | + | 683.616i | −0.110918 | + | 0.412687i | ||||
\(141\) | −1191.44 | − | 492.945i | −0.711614 | − | 0.294422i | ||||
\(142\) | −706.700 | + | 541.840i | −0.417641 | + | 0.320213i | ||||
\(143\) | −1423.15 | − | 2464.96i | −0.832234 | − | 1.44147i | ||||
\(144\) | 1566.62 | − | 729.157i | 0.906612 | − | 0.421966i | ||||
\(145\) | −120.271 | + | 208.316i | −0.0688827 | + | 0.119308i | ||||
\(146\) | 148.246 | + | 1129.38i | 0.0840336 | + | 0.640192i | ||||
\(147\) | 557.616 | − | 2520.08i | 0.312866 | − | 1.41397i | ||||
\(148\) | −2765.98 | + | 738.871i | −1.53623 | + | 0.410371i | ||||
\(149\) | −1793.00 | + | 2136.82i | −0.985830 | + | 1.17487i | −0.00123777 | + | 0.999999i | \(0.500394\pi\) |
−0.984592 | + | 0.174867i | \(0.944050\pi\) | |||||||
\(150\) | −439.976 | + | 1642.16i | −0.239493 | + | 0.893881i | ||||
\(151\) | 10.1937 | − | 28.0069i | 0.00549370 | − | 0.0150938i | −0.936915 | − | 0.349556i | \(-0.886332\pi\) |
0.942409 | + | 0.334462i | \(0.108555\pi\) | |||||||
\(152\) | 2323.11 | + | 1786.83i | 1.23966 | + | 0.953493i | ||||
\(153\) | −147.014 | + | 1696.24i | −0.0776823 | + | 0.896295i | ||||
\(154\) | 3020.01 | + | 1925.58i | 1.58026 | + | 1.00758i | ||||
\(155\) | −16.8966 | − | 95.8254i | −0.00875593 | − | 0.0496573i | ||||
\(156\) | −2401.19 | − | 1251.08i | −1.23236 | − | 0.642092i | ||||
\(157\) | −1696.20 | + | 617.367i | −0.862239 | + | 0.313829i | −0.735020 | − | 0.678045i | \(-0.762827\pi\) |
−0.127219 | + | 0.991875i | \(0.540605\pi\) | |||||||
\(158\) | 333.884 | + | 1060.36i | 0.168116 | + | 0.533909i | ||||
\(159\) | −2163.94 | − | 1377.35i | −1.07932 | − | 0.686986i | ||||
\(160\) | −552.172 | − | 25.1676i | −0.272832 | − | 0.0124355i | ||||
\(161\) | − | 2771.74i | − | 1.35679i | ||||||
\(162\) | 1827.77 | − | 954.360i | 0.886437 | − | 0.462849i | ||||
\(163\) | 1624.76i | 0.780745i | 0.920657 | + | 0.390372i | \(0.127654\pi\) | ||||
−0.920657 | + | 0.390372i | \(0.872346\pi\) | |||||||
\(164\) | 2052.18 | − | 177.959i | 0.977125 | − | 0.0847334i | ||||
\(165\) | −584.920 | − | 372.301i | −0.275975 | − | 0.175658i | ||||
\(166\) | −549.801 | + | 173.120i | −0.257065 | + | 0.0809442i | ||||
\(167\) | 89.3530 | − | 32.5218i | 0.0414032 | − | 0.0150695i | −0.321236 | − | 0.946999i | \(-0.604098\pi\) |
0.362639 | + | 0.931930i | \(0.381876\pi\) | |||||||
\(168\) | 3407.09 | + | 2.53037i | 1.56466 | + | 0.00116204i | ||||
\(169\) | 355.183 | + | 2014.35i | 0.161667 | + | 0.916862i | ||||
\(170\) | 292.801 | − | 459.217i | 0.132099 | − | 0.207179i | ||||
\(171\) | 2866.33 | + | 2003.56i | 1.28184 | + | 0.896000i | ||||
\(172\) | 1897.81 | − | 883.194i | 0.841317 | − | 0.391529i | ||||
\(173\) | −139.893 | + | 384.353i | −0.0614790 | + | 0.168912i | −0.966629 | − | 0.256180i | \(-0.917536\pi\) |
0.905150 | + | 0.425092i | \(0.139758\pi\) | |||||||
\(174\) | 1118.32 | + | 299.624i | 0.487238 | + | 0.130543i | ||||
\(175\) | −2154.66 | + | 2567.82i | −0.930725 | + | 1.10919i | ||||
\(176\) | −960.567 | + | 2626.61i | −0.411394 | + | 1.12493i | ||||
\(177\) | 552.580 | − | 2497.33i | 0.234658 | − | 1.06051i | ||||
\(178\) | 1698.46 | − | 222.945i | 0.715196 | − | 0.0938787i | ||||
\(179\) | −1404.62 | + | 2432.88i | −0.586517 | + | 1.01588i | 0.408168 | + | 0.912907i | \(0.366168\pi\) |
−0.994684 | + | 0.102970i | \(0.967165\pi\) | |||||||
\(180\) | −659.560 | + | 0.0305005i | −0.273115 | + | 1.26298e-5i | ||||
\(181\) | −44.2723 | − | 76.6818i | −0.0181808 | − | 0.0314901i | 0.856792 | − | 0.515662i | \(-0.172454\pi\) |
−0.874973 | + | 0.484172i | \(0.839121\pi\) | |||||||
\(182\) | −3248.25 | − | 4236.56i | −1.32295 | − | 1.72547i | ||||
\(183\) | −1809.79 | − | 748.780i | −0.731058 | − | 0.302467i | ||||
\(184\) | 2113.55 | − | 466.016i | 0.846809 | − | 0.186713i | ||||
\(185\) | 1076.16 | + | 189.756i | 0.427681 | + | 0.0754117i | ||||
\(186\) | −424.450 | + | 197.936i | −0.167324 | + | 0.0780290i | ||||
\(187\) | −1771.29 | − | 2110.94i | −0.692672 | − | 0.825494i | ||||
\(188\) | 1139.88 | − | 1625.27i | 0.442203 | − | 0.630504i | ||||
\(189\) | 4061.40 | − | 182.281i | 1.56309 | − | 0.0701536i | ||||
\(190\) | −516.158 | − | 992.458i | −0.197084 | − | 0.378950i | ||||
\(191\) | −2287.55 | + | 1919.48i | −0.866605 | + | 0.727168i | −0.963380 | − | 0.268139i | \(-0.913591\pi\) |
0.0967758 | + | 0.995306i | \(0.469147\pi\) | |||||||
\(192\) | 570.909 | + | 2598.45i | 0.214593 | + | 0.976704i | ||||
\(193\) | 605.137 | − | 3431.90i | 0.225693 | − | 1.27997i | −0.635663 | − | 0.771967i | \(-0.719273\pi\) |
0.861356 | − | 0.508002i | \(-0.169616\pi\) | |||||||
\(194\) | −3136.01 | − | 2875.83i | −1.16058 | − | 1.06429i | ||||
\(195\) | 629.457 | + | 819.635i | 0.231161 | + | 0.301001i | ||||
\(196\) | 3600.17 | + | 1682.14i | 1.31201 | + | 0.613026i | ||||
\(197\) | 3395.15 | − | 1960.19i | 1.22789 | − | 0.708923i | 0.261302 | − | 0.965257i | \(-0.415848\pi\) |
0.966588 | + | 0.256334i | \(0.0825148\pi\) | |||||||
\(198\) | −1002.15 | + | 3183.17i | −0.359695 | + | 1.14251i | ||||
\(199\) | 68.3342 | + | 39.4527i | 0.0243421 | + | 0.0140539i | 0.512122 | − | 0.858913i | \(-0.328860\pi\) |
−0.487780 | + | 0.872967i | \(0.662193\pi\) | |||||||
\(200\) | −2320.32 | − | 1211.27i | −0.820356 | − | 0.428249i | ||||
\(201\) | 246.879 | + | 781.894i | 0.0866345 | + | 0.274381i | ||||
\(202\) | −2511.62 | − | 557.823i | −0.874838 | − | 0.194298i | ||||
\(203\) | 1748.69 | + | 1467.33i | 0.604601 | + | 0.507320i | ||||
\(204\) | −2499.72 | − | 789.148i | −0.857919 | − | 0.270840i | ||||
\(205\) | −738.821 | − | 268.909i | −0.251715 | − | 0.0916166i | ||||
\(206\) | 20.6074 | − | 467.876i | 0.00696983 | − | 0.158245i | ||||
\(207\) | 2494.01 | − | 670.439i | 0.837419 | − | 0.225115i | ||||
\(208\) | 2684.39 | − | 3189.20i | 0.894851 | − | 1.06313i | ||||
\(209\) | −5574.11 | + | 982.866i | −1.84483 | + | 0.325293i | ||||
\(210\) | −1178.62 | − | 549.568i | −0.387299 | − | 0.180590i | ||||
\(211\) | −932.428 | − | 2561.83i | −0.304223 | − | 0.835845i | −0.993754 | − | 0.111590i | \(-0.964406\pi\) |
0.689532 | − | 0.724256i | \(-0.257816\pi\) | |||||||
\(212\) | 2794.66 | − | 2790.38i | 0.905368 | − | 0.903983i | ||||
\(213\) | −756.001 | − | 1450.83i | −0.243194 | − | 0.466708i | ||||
\(214\) | 3182.75 | + | 1319.77i | 1.01667 | + | 0.421576i | ||||
\(215\) | −798.973 | −0.253440 | ||||||||
\(216\) | 821.844 | + | 3066.31i | 0.258886 | + | 0.965908i | ||||
\(217\) | −923.414 | −0.288873 | ||||||||
\(218\) | −435.351 | − | 180.524i | −0.135256 | − | 0.0560854i | ||||
\(219\) | −2090.65 | − | 90.4291i | −0.645081 | − | 0.0279024i | ||||
\(220\) | 755.406 | − | 754.250i | 0.231497 | − | 0.231143i | ||||
\(221\) | 1404.78 | + | 3859.60i | 0.427582 | + | 1.17477i | ||||
\(222\) | −458.525 | − | 5239.57i | −0.138623 | − | 1.58404i | ||||
\(223\) | −2995.25 | + | 528.143i | −0.899446 | + | 0.158597i | −0.604208 | − | 0.796827i | \(-0.706510\pi\) |
−0.295239 | + | 0.955424i | \(0.595399\pi\) | |||||||
\(224\) | −1145.15 | + | 5119.04i | −0.341579 | + | 1.52692i | ||||
\(225\) | −2831.70 | − | 1317.64i | −0.839022 | − | 0.390413i | ||||
\(226\) | −55.9915 | + | 1271.25i | −0.0164801 | + | 0.374168i | ||||
\(227\) | −407.161 | − | 148.195i | −0.119050 | − | 0.0433305i | 0.281808 | − | 0.959471i | \(-0.409066\pi\) |
−0.400858 | + | 0.916140i | \(0.631288\pi\) | |||||||
\(228\) | −3970.98 | + | 3636.10i | −1.15344 | + | 1.05617i | ||||
\(229\) | −2135.66 | − | 1792.03i | −0.616281 | − | 0.517121i | 0.280351 | − | 0.959897i | \(-0.409549\pi\) |
−0.896632 | + | 0.442777i | \(0.853993\pi\) | |||||||
\(230\) | −806.446 | − | 179.109i | −0.231198 | − | 0.0513482i | ||||
\(231\) | −4443.37 | + | 4853.05i | −1.26560 | + | 1.38228i | ||||
\(232\) | −824.877 | + | 1580.14i | −0.233430 | + | 0.447160i | ||||
\(233\) | 3076.61 | + | 1776.28i | 0.865045 | + | 0.499434i | 0.865698 | − | 0.500566i | \(-0.166875\pi\) |
−0.000653482 | 1.00000i | \(0.500208\pi\) | ||||||||
\(234\) | 3026.35 | − | 3947.53i | 0.845466 | − | 1.10281i | ||||
\(235\) | −656.197 | + | 378.855i | −0.182151 | + | 0.105165i | ||||
\(236\) | 3567.66 | + | 1666.95i | 0.984045 | + | 0.459786i | ||||
\(237\) | −2024.71 | + | 267.395i | −0.554933 | + | 0.0732876i | ||||
\(238\) | −3809.26 | − | 3493.23i | −1.03747 | − | 0.951396i | ||||
\(239\) | 41.5731 | − | 235.773i | 0.0112516 | − | 0.0638112i | −0.978665 | − | 0.205463i | \(-0.934130\pi\) |
0.989917 | + | 0.141651i | \(0.0452412\pi\) | |||||||
\(240\) | 220.901 | − | 991.140i | 0.0594130 | − | 0.266574i | ||||
\(241\) | −3185.54 | + | 2672.99i | −0.851447 | + | 0.714449i | −0.960108 | − | 0.279630i | \(-0.909788\pi\) |
0.108661 | + | 0.994079i | \(0.465344\pi\) | |||||||
\(242\) | −755.125 | − | 1451.94i | −0.200584 | − | 0.385678i | ||||
\(243\) | 1146.40 | + | 3610.36i | 0.302641 | + | 0.953105i | ||||
\(244\) | 1731.47 | − | 2468.77i | 0.454286 | − | 0.647732i | ||||
\(245\) | −974.945 | − | 1161.89i | −0.254233 | − | 0.302983i | ||||
\(246\) | −329.732 | + | 3769.86i | −0.0854591 | + | 0.977062i | ||||
\(247\) | 8308.25 | + | 1464.97i | 2.14025 | + | 0.377384i | ||||
\(248\) | −155.255 | − | 704.135i | −0.0397527 | − | 0.180293i | ||||
\(249\) | −138.645 | − | 1049.82i | −0.0352863 | − | 0.267188i | ||||
\(250\) | 1264.76 | + | 1649.58i | 0.319962 | + | 0.417313i | ||||
\(251\) | −3844.95 | − | 6659.65i | −0.966898 | − | 1.67472i | −0.704428 | − | 0.709775i | \(-0.748796\pi\) |
−0.262469 | − | 0.964940i | \(-0.584537\pi\) | |||||||
\(252\) | −1086.62 | + | 6164.19i | −0.271629 | + | 1.54090i | ||||
\(253\) | −2089.91 | + | 3619.83i | −0.519334 | + | 0.899514i | ||||
\(254\) | 5702.74 | − | 748.559i | 1.40875 | − | 0.184916i | ||||
\(255\) | 737.946 | + | 675.652i | 0.181223 | + | 0.165925i | ||||
\(256\) | −4095.98 | − | 12.5468i | −0.999995 | − | 0.00306319i | ||||
\(257\) | 2058.37 | − | 2453.07i | 0.499602 | − | 0.595403i | −0.456030 | − | 0.889964i | \(-0.650729\pi\) |
0.955633 | + | 0.294562i | \(0.0951736\pi\) | |||||||
\(258\) | 995.388 | + | 3714.49i | 0.240194 | + | 0.896335i | ||||
\(259\) | 3546.87 | − | 9744.94i | 0.850933 | − | 2.33792i | ||||
\(260\) | −1442.54 | + | 671.323i | −0.344087 | + | 0.160130i | ||||
\(261\) | −897.318 | + | 1928.39i | −0.212807 | + | 0.457335i | ||||
\(262\) | −2002.05 | + | 3139.94i | −0.472089 | + | 0.740406i | ||||
\(263\) | 1185.57 | + | 6723.69i | 0.277967 | + | 1.57643i | 0.729377 | + | 0.684112i | \(0.239810\pi\) |
−0.451411 | + | 0.892316i | \(0.649079\pi\) | |||||||
\(264\) | −4447.68 | − | 2572.28i | −1.03688 | − | 0.599669i | ||||
\(265\) | −1416.47 | + | 515.554i | −0.328352 | + | 0.119510i | ||||
\(266\) | −10125.9 | + | 3188.44i | −2.33407 | + | 0.734946i | ||||
\(267\) | −135.995 | + | 3144.09i | −0.0311714 | + | 0.720657i | ||||
\(268\) | −1257.67 | + | 109.061i | −0.286657 | + | 0.0248581i | ||||
\(269\) | − | 4798.51i | − | 1.08762i | −0.839208 | − | 0.543811i | \(-0.816981\pi\) | ||
0.839208 | − | 0.543811i | \(-0.183019\pi\) | |||||||
\(270\) | 209.411 | − | 1193.46i | 0.0472013 | − | 0.269005i | ||||
\(271\) | 1176.02i | 0.263610i | 0.991276 | + | 0.131805i | \(0.0420773\pi\) | ||||
−0.991276 | + | 0.131805i | \(0.957923\pi\) | |||||||
\(272\) | 2023.25 | − | 3492.01i | 0.451021 | − | 0.778435i | ||||
\(273\) | 8697.48 | − | 4532.11i | 1.92819 | − | 1.00475i | ||||
\(274\) | −576.478 | − | 1830.80i | −0.127103 | − | 0.403659i | ||||
\(275\) | 4750.09 | − | 1728.89i | 1.04160 | − | 0.379113i | ||||
\(276\) | 172.006 | + | 3972.38i | 0.0375128 | + | 0.866337i | ||||
\(277\) | 85.5231 | + | 485.026i | 0.0185509 | + | 0.105207i | 0.992677 | − | 0.120797i | \(-0.0385449\pi\) |
−0.974126 | + | 0.226004i | \(0.927434\pi\) | |||||||
\(278\) | −4719.33 | − | 3009.09i | −1.01815 | − | 0.649184i | ||||
\(279\) | −223.359 | − | 830.887i | −0.0479288 | − | 0.178294i | ||||
\(280\) | 1220.67 | − | 1587.03i | 0.260533 | − | 0.338727i | ||||
\(281\) | −1832.48 | + | 5034.71i | −0.389028 | + | 1.06885i | 0.578412 | + | 0.815745i | \(0.303673\pi\) |
−0.967440 | + | 0.253101i | \(0.918550\pi\) | |||||||
\(282\) | 2578.84 | + | 2578.72i | 0.544567 | + | 0.544542i | ||||
\(283\) | 2537.05 | − | 3023.54i | 0.532905 | − | 0.635091i | −0.430676 | − | 0.902506i | \(-0.641725\pi\) |
0.963581 | + | 0.267415i | \(0.0861694\pi\) | |||||||
\(284\) | 2433.43 | − | 650.039i | 0.508442 | − | 0.135819i | ||||
\(285\) | 1959.74 | − | 618.777i | 0.407315 | − | 0.128608i | ||||
\(286\) | 1047.75 | + | 7982.06i | 0.216625 | + | 1.65031i | ||||
\(287\) | −3730.70 | + | 6461.76i | −0.767304 | + | 1.32901i | ||||
\(288\) | −4883.10 | + | 207.807i | −0.999096 | + | 0.0425180i | ||||
\(289\) | −468.258 | − | 811.046i | −0.0953099 | − | 0.165082i | ||||
\(290\) | 539.922 | − | 413.968i | 0.109329 | − | 0.0838243i | ||||
\(291\) | 6199.65 | − | 4761.16i | 1.24890 | − | 0.959121i | ||||
\(292\) | 836.238 | − | 3111.35i | 0.167593 | − | 0.623555i | ||||
\(293\) | 7840.15 | + | 1382.43i | 1.56323 | + | 0.275640i | 0.887253 | − | 0.461282i | \(-0.152610\pi\) |
0.675978 | + | 0.736922i | \(0.263722\pi\) | |||||||
\(294\) | −4187.13 | + | 5980.13i | −0.830606 | + | 1.18629i | ||||
\(295\) | −966.141 | − | 1151.40i | −0.190681 | − | 0.227245i | ||||
\(296\) | 8027.19 | + | 1066.18i | 1.57625 | + | 0.209360i | ||||
\(297\) | −5441.54 | − | 2824.27i | −1.06313 | − | 0.551787i | ||||
\(298\) | 6999.62 | − | 3640.36i | 1.36066 | − | 0.707653i | ||||
\(299\) | 4772.50 | − | 4004.60i | 0.923080 | − | 0.774556i | ||||
\(300\) | 2928.64 | − | 3813.84i | 0.563617 | − | 0.733973i | ||||
\(301\) | −1316.65 | + | 7467.08i | −0.252127 | + | 1.42988i | ||||
\(302\) | −56.9755 | + | 62.1301i | −0.0108562 | + | 0.0118384i | ||||
\(303\) | 1807.01 | − | 4367.52i | 0.342607 | − | 0.828078i | ||||
\(304\) | −4133.78 | − | 7185.31i | −0.779896 | − | 1.35561i | ||||
\(305\) | −996.757 | + | 575.478i | −0.187128 | + | 0.108039i | ||||
\(306\) | 2221.80 | − | 4272.52i | 0.415072 | − | 0.798182i | ||||
\(307\) | −5461.28 | − | 3153.07i | −1.01528 | − | 0.586174i | −0.102549 | − | 0.994728i | \(-0.532700\pi\) |
−0.912734 | + | 0.408554i | \(0.866033\pi\) | |||||||
\(308\) | −5804.25 | − | 8302.85i | −1.07379 | − | 1.53604i | ||||
\(309\) | 840.058 | + | 185.879i | 0.154658 | + | 0.0342209i | ||||
\(310\) | −59.6706 | + | 268.670i | −0.0109325 | + | 0.0492239i | ||||
\(311\) | 48.1538 | + | 40.4058i | 0.00877990 | + | 0.00736721i | 0.647167 | − | 0.762348i | \(-0.275954\pi\) |
−0.638387 | + | 0.769715i | \(0.720398\pi\) | |||||||
\(312\) | 4918.20 | + | 5870.14i | 0.892431 | + | 1.06516i | ||||
\(313\) | −4125.21 | − | 1501.45i | −0.744954 | − | 0.271141i | −0.0584733 | − | 0.998289i | \(-0.518623\pi\) |
−0.686481 | + | 0.727148i | \(0.740845\pi\) | |||||||
\(314\) | 5100.53 | + | 224.651i | 0.916687 | + | 0.0403751i | ||||
\(315\) | 1368.73 | − | 1958.14i | 0.244823 | − | 0.350249i | ||||
\(316\) | 276.444 | − | 3132.14i | 0.0492126 | − | 0.557584i | ||||
\(317\) | 6911.34 | − | 1218.65i | 1.22454 | − | 0.215919i | 0.476261 | − | 0.879304i | \(-0.341992\pi\) |
0.748279 | + | 0.663384i | \(0.230881\pi\) | |||||||
\(318\) | 4161.54 | + | 5943.01i | 0.733861 | + | 1.04801i | ||||
\(319\) | −1177.38 | − | 3234.82i | −0.206647 | − | 0.567759i | ||||
\(320\) | 1415.40 | + | 663.975i | 0.247260 | + | 0.115992i | ||||
\(321\) | −3398.85 | + | 5339.92i | −0.590983 | + | 0.928489i | ||||
\(322\) | −3002.88 | + | 7241.76i | −0.519703 | + | 1.25332i | ||||
\(323\) | 8167.72 | 1.40701 | ||||||||
\(324\) | −5809.37 | + | 513.279i | −0.996120 | + | 0.0880107i | ||||
\(325\) | −7534.43 | −1.28595 | ||||||||
\(326\) | 1760.26 | − | 4245.04i | 0.299054 | − | 0.721200i | ||||
\(327\) | 464.911 | − | 730.418i | 0.0786227 | − | 0.123524i | ||||
\(328\) | −5554.56 | − | 1758.36i | −0.935059 | − | 0.296004i | ||||
\(329\) | 2459.36 | + | 6757.04i | 0.412124 | + | 1.13230i | ||||
\(330\) | 1124.88 | + | 1606.41i | 0.187644 | + | 0.267970i | ||||
\(331\) | −4128.60 | + | 727.983i | −0.685583 | + | 0.120887i | −0.505581 | − | 0.862779i | \(-0.668722\pi\) |
−0.180003 | + | 0.983666i | \(0.557611\pi\) | |||||||
\(332\) | 1624.03 | + | 143.337i | 0.268464 | + | 0.0236948i | ||||
\(333\) | 9626.41 | + | 834.326i | 1.58416 | + | 0.137300i | ||||
\(334\) | −268.687 | − | 11.8342i | −0.0440177 | − | 0.00193874i | ||||
\(335\) | 452.781 | + | 164.799i | 0.0738450 | + | 0.0268774i | ||||
\(336\) | −8899.01 | − | 3697.83i | −1.44488 | − | 0.600397i | ||||
\(337\) | 5620.85 | + | 4716.45i | 0.908567 | + | 0.762378i | 0.971846 | − | 0.235618i | \(-0.0757113\pi\) |
−0.0632790 | + | 0.997996i | \(0.520156\pi\) | |||||||
\(338\) | 1254.34 | − | 5647.71i | 0.201855 | − | 0.908860i | ||||
\(339\) | −2282.48 | − | 505.042i | −0.365686 | − | 0.0809148i | ||||
\(340\) | −1262.52 | + | 882.584i | −0.201381 | + | 0.140779i | ||||
\(341\) | 1205.96 | + | 696.260i | 0.191514 | + | 0.110571i | ||||
\(342\) | −5318.25 | − | 8340.08i | −0.840872 | − | 1.31866i | ||||
\(343\) | −3857.72 | + | 2227.26i | −0.607281 | + | 0.350614i | ||||
\(344\) | −5915.27 | + | 251.459i | −0.927122 | + | 0.0394121i | ||||
\(345\) | 580.205 | − | 1402.35i | 0.0905425 | − | 0.218840i | ||||
\(346\) | 781.905 | − | 852.644i | 0.121490 | − | 0.132481i | ||||
\(347\) | 896.820 | − | 5086.12i | 0.138743 | − | 0.786851i | −0.833437 | − | 0.552615i | \(-0.813630\pi\) |
0.972180 | − | 0.234236i | \(-0.0752588\pi\) | |||||||
\(348\) | −2597.23 | − | 1994.41i | −0.400075 | − | 0.307217i | ||||
\(349\) | 6015.32 | − | 5047.45i | 0.922615 | − | 0.774166i | −0.0518614 | − | 0.998654i | \(-0.516515\pi\) |
0.974477 | + | 0.224488i | \(0.0720710\pi\) | |||||||
\(350\) | 8411.46 | − | 4374.64i | 1.28460 | − | 0.668097i | ||||
\(351\) | 6181.76 | + | 6729.74i | 0.940052 | + | 1.02338i | ||||
\(352\) | 5355.33 | − | 5821.90i | 0.810910 | − | 0.881558i | ||||
\(353\) | 896.843 | + | 1068.82i | 0.135224 | + | 0.161154i | 0.829407 | − | 0.558645i | \(-0.188679\pi\) |
−0.694183 | + | 0.719799i | \(0.744234\pi\) | |||||||
\(354\) | −4149.32 | + | 5926.13i | −0.622976 | + | 0.889746i | ||||
\(355\) | −946.778 | − | 166.942i | −0.141549 | − | 0.0249588i | ||||
\(356\) | −4679.12 | − | 1257.61i | −0.696609 | − | 0.187228i | ||||
\(357\) | 7530.61 | − | 5783.30i | 1.11642 | − | 0.857380i | ||||
\(358\) | 6305.64 | − | 4834.65i | 0.930904 | − | 0.713741i | ||||
\(359\) | 33.2047 | + | 57.5122i | 0.00488155 | + | 0.00845509i | 0.868456 | − | 0.495766i | \(-0.165113\pi\) |
−0.863574 | + | 0.504222i | \(0.831779\pi\) | |||||||
\(360\) | 1723.27 | + | 714.482i | 0.252290 | + | 0.104601i | ||||
\(361\) | 4958.77 | − | 8588.85i | 0.722959 | − | 1.25220i | ||||
\(362\) | 32.5941 | + | 248.312i | 0.00473235 | + | 0.0360524i | ||||
\(363\) | 2867.04 | − | 905.254i | 0.414547 | − | 0.130891i | ||||
\(364\) | 3896.88 | + | 14588.0i | 0.561132 | + | 2.10061i | ||||
\(365\) | −790.446 | + | 942.017i | −0.113353 | + | 0.135089i | ||||
\(366\) | 3917.24 | + | 3917.06i | 0.559447 | + | 0.559421i | ||||
\(367\) | −207.655 | + | 570.529i | −0.0295355 | + | 0.0811481i | −0.953584 | − | 0.301127i | \(-0.902637\pi\) |
0.924049 | + | 0.382275i | \(0.124859\pi\) | |||||||
\(368\) | −6026.97 | − | 1072.24i | −0.853743 | − | 0.151887i | ||||
\(369\) | −6716.68 | − | 1793.88i | −0.947578 | − | 0.253078i | ||||
\(370\) | −2606.12 | − | 1661.68i | −0.366178 | − | 0.233478i | ||||
\(371\) | 2484.05 | + | 14087.7i | 0.347615 | + | 1.97142i | ||||
\(372\) | 1323.41 | − | 57.3043i | 0.184450 | − | 0.00798679i | ||||
\(373\) | −6266.49 | + | 2280.82i | −0.869884 | + | 0.316612i | −0.738120 | − | 0.674669i | \(-0.764286\pi\) |
−0.131764 | + | 0.991281i | \(0.542064\pi\) | |||||||
\(374\) | 2340.89 | + | 7434.28i | 0.323649 | + | 1.02785i | ||||
\(375\) | −3386.51 | + | 1764.65i | −0.466343 | + | 0.243003i | ||||
\(376\) | −4738.98 | + | 3011.41i | −0.649984 | + | 0.413037i | ||||
\(377\) | 5130.96i | 0.700949i | ||||||||
\(378\) | −10808.8 | − | 3923.85i | −1.47075 | − | 0.533918i | ||||
\(379\) | 9812.32i | 1.32988i | 0.746896 | + | 0.664941i | \(0.231543\pi\) | ||||
−0.746896 | + | 0.664941i | \(0.768457\pi\) | |||||||
\(380\) | 273.350 | + | 3152.21i | 0.0369015 | + | 0.425539i | ||||
\(381\) | −456.617 | + | 10556.6i | −0.0613995 | + | 1.41950i | ||||
\(382\) | 8056.27 | − | 2536.74i | 1.07904 | − | 0.339767i | ||||
\(383\) | 5509.18 | − | 2005.18i | 0.735002 | − | 0.267519i | 0.0527216 | − | 0.998609i | \(-0.483210\pi\) |
0.682281 | + | 0.731090i | \(0.260988\pi\) | |||||||
\(384\) | 1323.52 | − | 7407.52i | 0.175887 | − | 0.984410i | ||||
\(385\) | 671.445 | + | 3807.96i | 0.0888832 | + | 0.504082i | ||||
\(386\) | −5299.15 | + | 8310.97i | −0.698755 | + | 1.09590i | ||||
\(387\) | −7037.34 | + | 621.447i | −0.924363 | + | 0.0816277i | ||||
\(388\) | 5077.83 | + | 10911.3i | 0.664402 | + | 1.42767i | ||||
\(389\) | 4387.93 | − | 12055.7i | 0.571920 | − | 1.57134i | −0.229548 | − | 0.973297i | \(-0.573725\pi\) |
0.801467 | − | 0.598039i | \(-0.204053\pi\) | |||||||
\(390\) | −756.603 | − | 2823.42i | −0.0982360 | − | 0.366588i | ||||
\(391\) | 3877.06 | − | 4620.50i | 0.501461 | − | 0.597618i | ||||
\(392\) | −7583.78 | − | 8295.35i | −0.977140 | − | 1.06882i | ||||
\(393\) | −5045.77 | − | 4619.83i | −0.647648 | − | 0.592976i | ||||
\(394\) | −10994.2 | + | 1443.13i | −1.40579 | + | 0.184528i | ||||
\(395\) | −600.076 | + | 1039.36i | −0.0764383 | + | 0.132395i | ||||
\(396\) | 6066.94 | − | 7230.98i | 0.769887 | − | 0.917602i | ||||
\(397\) | −2603.74 | − | 4509.81i | −0.329164 | − | 0.570128i | 0.653182 | − | 0.757201i | \(-0.273433\pi\) |
−0.982346 | + | 0.187072i | \(0.940100\pi\) | |||||||
\(398\) | −135.795 | − | 177.111i | −0.0171024 | − | 0.0223060i | ||||
\(399\) | −2553.50 | − | 19335.1i | −0.320388 | − | 2.42598i | ||||
\(400\) | 4750.04 | + | 5678.51i | 0.593755 | + | 0.709814i | ||||
\(401\) | −11017.8 | − | 1942.73i | −1.37207 | − | 0.241934i | −0.561455 | − | 0.827507i | \(-0.689758\pi\) |
−0.810619 | + | 0.585573i | \(0.800869\pi\) | |||||||
\(402\) | 202.074 | − | 2310.33i | 0.0250710 | − | 0.286639i | ||||
\(403\) | −1334.15 | − | 1589.97i | −0.164910 | − | 0.196532i | ||||
\(404\) | 5957.81 | + | 4178.50i | 0.733693 | + | 0.514575i | ||||
\(405\) | 2093.00 | + | 757.943i | 0.256795 | + | 0.0929939i | ||||
\(406\) | −2979.13 | − | 5728.22i | −0.364167 | − | 0.700213i | ||||
\(407\) | −11979.9 | + | 10052.3i | −1.45902 | + | 1.22426i | ||||
\(408\) | 5676.09 | + | 4770.00i | 0.688746 | + | 0.578799i | ||||
\(409\) | −2462.22 | + | 13963.9i | −0.297675 | + | 1.68820i | 0.358454 | + | 0.933547i | \(0.383304\pi\) |
−0.656128 | + | 0.754649i | \(0.727807\pi\) | |||||||
\(410\) | 1638.99 | + | 1503.01i | 0.197424 | + | 0.181045i | ||||
\(411\) | 3495.84 | − | 461.680i | 0.419554 | − | 0.0554087i | ||||
\(412\) | −560.735 | + | 1200.10i | −0.0670520 | + | 0.143506i | ||||
\(413\) | −12353.0 | + | 7131.98i | −1.47179 | + | 0.849738i | ||||
\(414\) | −7242.48 | − | 950.328i | −0.859778 | − | 0.112817i | ||||
\(415\) | −538.914 | − | 311.142i | −0.0637452 | − | 0.0368033i | ||||
\(416\) | −10468.7 | + | 5424.21i | −1.23382 | + | 0.639288i | ||||
\(417\) | 6943.61 | − | 7583.80i | 0.815420 | − | 0.890600i | ||||
\(418\) | 15628.4 | + | 3471.00i | 1.82873 | + | 0.406154i | ||||
\(419\) | −6009.68 | − | 5042.72i | −0.700698 | − | 0.587955i | 0.221274 | − | 0.975212i | \(-0.428978\pi\) |
−0.921972 | + | 0.387257i | \(0.873423\pi\) | |||||||
\(420\) | 2484.01 | + | 2712.77i | 0.288588 | + | 0.315166i | ||||
\(421\) | −10268.3 | − | 3737.34i | −1.18870 | − | 0.432653i | −0.329435 | − | 0.944178i | \(-0.606858\pi\) |
−0.859268 | + | 0.511525i | \(0.829081\pi\) | |||||||
\(422\) | −339.297 | + | 7703.49i | −0.0391392 | + | 0.888626i | ||||
\(423\) | −5485.10 | + | 3847.35i | −0.630483 | + | 0.442233i | ||||
\(424\) | −10324.7 | + | 4262.75i | −1.18258 | + | 0.488249i | ||||
\(425\) | −7183.64 | + | 1266.67i | −0.819900 | + | 0.144571i | ||||
\(426\) | 403.398 | + | 4609.63i | 0.0458796 | + | 0.524266i | ||||
\(427\) | 3735.75 | + | 10263.9i | 0.423385 | + | 1.16324i | ||||
\(428\) | −6885.78 | − | 6896.34i | −0.777656 | − | 0.778848i | ||||
\(429\) | −14776.0 | − | 639.121i | −1.66291 | − | 0.0719279i | ||||
\(430\) | 2087.49 | + | 865.602i | 0.234111 | + | 0.0970768i | ||||
\(431\) | −14099.8 | −1.57579 | −0.787893 | − | 0.615813i | \(-0.788828\pi\) | ||||
−0.787893 | + | 0.615813i | \(0.788828\pi\) | |||||||
\(432\) | 1174.78 | − | 8901.77i | 0.130837 | − | 0.991404i | ||||
\(433\) | −1388.77 | −0.154134 | −0.0770669 | − | 0.997026i | \(-0.524556\pi\) | ||||
−0.0770669 | + | 0.997026i | \(0.524556\pi\) | |||||||
\(434\) | 2412.61 | + | 1000.42i | 0.266841 | + | 0.110649i | ||||
\(435\) | 577.588 | + | 1108.44i | 0.0636625 | + | 0.122173i | ||||
\(436\) | 941.869 | + | 943.313i | 0.103457 | + | 0.103616i | ||||
\(437\) | −4237.29 | − | 11641.9i | −0.463838 | − | 1.27438i | ||||
\(438\) | 5364.28 | + | 2501.26i | 0.585195 | + | 0.272864i | ||||
\(439\) | 1013.12 | − | 178.641i | 0.110145 | − | 0.0194216i | −0.118304 | − | 0.992977i | \(-0.537746\pi\) |
0.228449 | + | 0.973556i | \(0.426635\pi\) | |||||||
\(440\) | −2790.81 | + | 1152.24i | −0.302378 | + | 0.124842i | ||||
\(441\) | −9491.03 | − | 9475.63i | −1.02484 | − | 1.02318i | ||||
\(442\) | 511.179 | − | 11605.9i | 0.0550098 | − | 1.24896i | ||||
\(443\) | −5380.26 | − | 1958.26i | −0.577030 | − | 0.210022i | 0.0369856 | − | 0.999316i | \(-0.488224\pi\) |
−0.614015 | + | 0.789294i | \(0.710447\pi\) | |||||||
\(444\) | −4478.52 | + | 14186.3i | −0.478696 | + | 1.51633i | ||||
\(445\) | 1416.69 | + | 1188.74i | 0.150915 | + | 0.126633i | ||||
\(446\) | 8397.90 | + | 1865.14i | 0.891597 | + | 0.198020i | ||||
\(447\) | 4364.12 | + | 13821.6i | 0.461780 | + | 1.46251i | ||||
\(448\) | 8537.88 | − | 12133.9i | 0.900395 | − | 1.27963i | ||||
\(449\) | 11828.0 | + | 6828.87i | 1.24320 | + | 0.717761i | 0.969744 | − | 0.244124i | \(-0.0785006\pi\) |
0.273454 | + | 0.961885i | \(0.411834\pi\) | |||||||
\(450\) | 5970.89 | + | 6510.47i | 0.625489 | + | 0.682014i | ||||
\(451\) | 9744.42 | − | 5625.94i | 1.01740 | − | 0.587396i | ||||
\(452\) | 1523.55 | − | 3260.74i | 0.158543 | − | 0.339319i | ||||
\(453\) | −94.3273 | − | 122.826i | −0.00978340 | − | 0.0127393i | ||||
\(454\) | 903.242 | + | 828.305i | 0.0933728 | + | 0.0856262i | ||||
\(455\) | 1000.79 | − | 5675.79i | 0.103116 | − | 0.584802i | ||||
\(456\) | 14314.3 | − | 5197.96i | 1.47002 | − | 0.533808i | ||||
\(457\) | 13199.2 | − | 11075.4i | 1.35105 | − | 1.13367i | 0.372418 | − | 0.928065i | \(-0.378529\pi\) |
0.978635 | − | 0.205603i | \(-0.0659156\pi\) | |||||||
\(458\) | 3638.39 | + | 6995.81i | 0.371202 | + | 0.713740i | ||||
\(459\) | 7025.34 | + | 5377.15i | 0.714411 | + | 0.546806i | ||||
\(460\) | 1912.97 | + | 1341.66i | 0.193897 | + | 0.135989i | ||||
\(461\) | −425.375 | − | 506.942i | −0.0429754 | − | 0.0512161i | 0.744129 | − | 0.668036i | \(-0.232865\pi\) |
−0.787104 | + | 0.616820i | \(0.788421\pi\) | |||||||
\(462\) | 16867.0 | − | 7865.69i | 1.69854 | − | 0.792089i | ||||
\(463\) | 216.363 | + | 38.1506i | 0.0217175 | + | 0.00382939i | 0.184496 | − | 0.982833i | \(-0.440935\pi\) |
−0.162779 | + | 0.986663i | \(0.552046\pi\) | |||||||
\(464\) | 3867.08 | − | 3234.78i | 0.386906 | − | 0.323644i | ||||
\(465\) | −467.197 | − | 193.297i | −0.0465929 | − | 0.0192773i | ||||
\(466\) | −6113.89 | − | 7974.09i | −0.607769 | − | 0.792688i | ||||
\(467\) | −6228.32 | − | 10787.8i | −0.617157 | − | 1.06895i | −0.990002 | − | 0.141054i | \(-0.954951\pi\) |
0.372845 | − | 0.927894i | \(-0.378382\pi\) | |||||||
\(468\) | −12183.7 | + | 7035.02i | −1.20340 | + | 0.694859i | ||||
\(469\) | 2286.33 | − | 3960.05i | 0.225103 | − | 0.389889i | ||||
\(470\) | 2124.90 | − | 278.921i | 0.208541 | − | 0.0273738i | ||||
\(471\) | −2026.35 | + | 9157.86i | −0.198236 | + | 0.895906i | ||||
\(472\) | −7515.29 | − | 8220.44i | −0.732880 | − | 0.801645i | ||||
\(473\) | 7349.74 | − | 8759.08i | 0.714464 | − | 0.851465i | ||||
\(474\) | 5579.68 | + | 1494.93i | 0.540682 | + | 0.144862i | ||||
\(475\) | −5124.44 | + | 14079.3i | −0.495001 | + | 1.36000i | ||||
\(476\) | 6167.96 | + | 13253.7i | 0.593924 | + | 1.27623i | ||||
\(477\) | −12075.3 | + | 5642.73i | −1.15910 | + | 0.541641i | ||||
\(478\) | −364.053 | + | 570.966i | −0.0348355 | + | 0.0546347i | ||||
\(479\) | −2649.59 | − | 15026.6i | −0.252741 | − | 1.43336i | −0.801806 | − | 0.597584i | \(-0.796127\pi\) |
0.549065 | − | 0.835779i | \(-0.314984\pi\) | |||||||
\(480\) | −1650.95 | + | 2350.24i | −0.156990 | + | 0.223486i | ||||
\(481\) | 21903.7 | − | 7972.31i | 2.07635 | − | 0.755730i | ||||
\(482\) | 11218.8 | − | 3532.55i | 1.06017 | − | 0.333824i | ||||
\(483\) | −12150.0 | − | 7733.47i | −1.14460 | − | 0.728540i | ||||
\(484\) | 399.904 | + | 4611.59i | 0.0375567 | + | 0.433095i | ||||
\(485\) | − | 4593.61i | − | 0.430073i | ||||||
\(486\) | 916.210 | − | 10674.8i | 0.0855147 | − | 0.996337i | ||||
\(487\) | 6002.97i | 0.558563i | 0.960209 | + | 0.279282i | \(0.0900963\pi\) | ||||
−0.960209 | + | 0.279282i | \(0.909904\pi\) | |||||||
\(488\) | −7198.47 | + | 4574.31i | −0.667744 | + | 0.424323i | ||||
\(489\) | 7122.20 | + | 4533.27i | 0.658644 | + | 0.419227i | ||||
\(490\) | 1288.46 | + | 4091.94i | 0.118789 | + | 0.377255i | ||||
\(491\) | −6376.92 | + | 2321.01i | −0.586123 | + | 0.213331i | −0.618023 | − | 0.786160i | \(-0.712066\pi\) |
0.0319005 | + | 0.999491i | \(0.489844\pi\) | |||||||
\(492\) | 4945.73 | − | 9492.32i | 0.453192 | − | 0.869810i | ||||
\(493\) | 862.604 | + | 4892.07i | 0.0788027 | + | 0.446912i | ||||
\(494\) | −20119.9 | − | 12828.6i | −1.83247 | − | 1.16840i | ||||
\(495\) | −3263.98 | + | 1525.25i | −0.296374 | + | 0.138495i | ||||
\(496\) | −357.219 | + | 2007.90i | −0.0323379 | + | 0.181769i | ||||
\(497\) | −3120.44 | + | 8573.33i | −0.281631 | + | 0.773775i | ||||
\(498\) | −775.130 | + | 2893.09i | −0.0697478 | + | 0.260326i | ||||
\(499\) | 3922.72 | − | 4674.92i | 0.351914 | − | 0.419395i | −0.560827 | − | 0.827933i | \(-0.689517\pi\) |
0.912741 | + | 0.408538i | \(0.133961\pi\) | |||||||
\(500\) | −1517.32 | − | 5680.10i | −0.135713 | − | 0.508044i | ||||
\(501\) | 106.745 | − | 482.420i | 0.00951895 | − | 0.0430199i | ||||
\(502\) | 2830.73 | + | 21565.3i | 0.251677 | + | 1.91735i | ||||
\(503\) | 1596.09 | − | 2764.51i | 0.141483 | − | 0.245057i | −0.786572 | − | 0.617499i | \(-0.788146\pi\) |
0.928055 | + | 0.372442i | \(0.121479\pi\) | |||||||
\(504\) | 9517.26 | − | 14928.0i | 0.841136 | − | 1.31934i | ||||
\(505\) | −1388.79 | − | 2405.45i | −0.122377 | − | 0.211962i | ||||
\(506\) | 9382.04 | − | 7193.38i | 0.824273 | − | 0.631986i | ||||
\(507\) | 9820.93 | + | 4063.29i | 0.860282 | + | 0.355931i | ||||
\(508\) | −15710.6 | − | 4222.54i | −1.37214 | − | 0.368789i | ||||
\(509\) | 17860.9 | + | 3149.36i | 1.55535 | + | 0.274249i | 0.884211 | − | 0.467087i | \(-0.154697\pi\) |
0.671134 | + | 0.741336i | \(0.265808\pi\) | |||||||
\(510\) | −1196.04 | − | 2564.77i | −0.103846 | − | 0.222686i | ||||
\(511\) | 7501.35 | + | 8939.76i | 0.649394 | + | 0.773917i | ||||
\(512\) | 10688.0 | + | 4470.34i | 0.922555 | + | 0.385865i | ||||
\(513\) | 16780.0 | − | 6974.48i | 1.44416 | − | 0.600255i | ||||
\(514\) | −8035.58 | + | 4179.15i | −0.689560 | + | 0.358627i | ||||
\(515\) | 387.312 | − | 324.993i | 0.0331398 | − | 0.0278076i | ||||
\(516\) | 1423.60 | − | 10783.3i | 0.121454 | − | 0.919977i | ||||
\(517\) | 1882.98 | − | 10678.9i | 0.160181 | − | 0.908430i | ||||
\(518\) | −19824.5 | + | 21618.1i | −1.68154 | + | 1.83367i | ||||
\(519\) | 1294.50 | + | 1685.61i | 0.109484 | + | 0.142563i | ||||
\(520\) | 4496.25 | − | 191.136i | 0.379180 | − | 0.0161190i | ||||
\(521\) | −13408.2 | + | 7741.22i | −1.12749 | + | 0.650958i | −0.943303 | − | 0.331933i | \(-0.892299\pi\) |
−0.184189 | + | 0.982891i | \(0.558966\pi\) | |||||||
\(522\) | 4433.64 | − | 4066.18i | 0.371753 | − | 0.340942i | ||||
\(523\) | −13267.8 | − | 7660.17i | −1.10929 | − | 0.640451i | −0.170647 | − | 0.985332i | \(-0.554586\pi\) |
−0.938646 | + | 0.344881i | \(0.887919\pi\) | |||||||
\(524\) | 8632.58 | − | 6034.75i | 0.719687 | − | 0.503109i | ||||
\(525\) | 5244.37 | + | 16609.5i | 0.435968 | + | 1.38076i | ||||
\(526\) | 4186.85 | − | 18851.5i | 0.347063 | − | 1.56267i | ||||
\(527\) | −1539.33 | − | 1291.65i | −0.127238 | − | 0.106765i | ||||
\(528\) | 8833.72 | + | 11539.2i | 0.728103 | + | 0.951097i | ||||
\(529\) | 2836.05 | + | 1032.24i | 0.233094 | + | 0.0848392i | ||||
\(530\) | 4259.38 | + | 187.603i | 0.349086 | + | 0.0153754i | ||||
\(531\) | −9405.32 | − | 9390.06i | −0.768656 | − | 0.767409i | ||||
\(532\) | 29910.5 | + | 2639.91i | 2.43757 | + | 0.215140i | ||||
\(533\) | −16516.2 | + | 2912.26i | −1.34221 | + | 0.236668i | ||||
\(534\) | 3761.60 | − | 8067.27i | 0.304832 | − | 0.653755i | ||||
\(535\) | 1272.22 | + | 3495.40i | 0.102809 | + | 0.282466i | ||||
\(536\) | 3404.08 | + | 1077.60i | 0.274317 | + | 0.0868382i | ||||
\(537\) | 6745.53 | + | 12945.2i | 0.542069 | + | 1.04027i | ||||
\(538\) | −5198.67 | + | 12537.1i | −0.416599 | + | 1.00467i | ||||
\(539\) | 21706.3 | 1.73461 | ||||||||
\(540\) | −1840.11 | + | 2891.28i | −0.146640 | + | 0.230409i | ||||
\(541\) | 7024.43 | 0.558232 | 0.279116 | − | 0.960257i | \(-0.409959\pi\) | ||||
0.279116 | + | 0.960257i | \(0.409959\pi\) | |||||||
\(542\) | 1274.10 | − | 3072.61i | 0.100972 | − | 0.243505i | ||||
\(543\) | −459.661 | − | 19.8822i | −0.0363277 | − | 0.00157132i | ||||
\(544\) | −9069.39 | + | 6931.64i | −0.714792 | + | 0.546308i | ||||
\(545\) | −174.020 | − | 478.117i | −0.0136775 | − | 0.0375785i | ||||
\(546\) | −27634.0 | + | 2418.31i | −2.16599 | + | 0.189550i | ||||
\(547\) | −9911.71 | + | 1747.70i | −0.774761 | + | 0.136611i | −0.547030 | − | 0.837113i | \(-0.684242\pi\) |
−0.227731 | + | 0.973724i | \(0.573131\pi\) | |||||||
\(548\) | −477.303 | + | 5407.90i | −0.0372069 | + | 0.421559i | ||||
\(549\) | −8331.81 | + | 5844.09i | −0.647711 | + | 0.454316i | ||||
\(550\) | −14283.7 | − | 629.119i | −1.10738 | − | 0.0487740i | ||||
\(551\) | 9588.01 | + | 3489.75i | 0.741312 | + | 0.269816i | ||||
\(552\) | 3854.24 | − | 10565.0i | 0.297187 | − | 0.814633i | ||||
\(553\) | 8724.84 | + | 7321.01i | 0.670919 | + | 0.562968i | ||||
\(554\) | 302.026 | − | 1359.89i | 0.0231622 | − | 0.104289i | ||||
\(555\) | 3834.41 | − | 4187.94i | 0.293264 | − | 0.320303i | ||||
\(556\) | 9070.23 | + | 12974.8i | 0.691841 | + | 0.989664i | ||||
\(557\) | −5493.15 | − | 3171.47i | −0.417867 | − | 0.241256i | 0.276297 | − | 0.961072i | \(-0.410893\pi\) |
−0.694164 | + | 0.719816i | \(0.744226\pi\) | |||||||
\(558\) | −316.605 | + | 2412.85i | −0.0240196 | + | 0.183054i | ||||
\(559\) | −14759.4 | + | 8521.35i | −1.11674 | + | 0.644749i | ||||
\(560\) | −4908.65 | + | 2823.99i | −0.370408 | + | 0.213099i | ||||
\(561\) | −14195.5 | + | 1874.73i | −1.06833 | + | 0.141090i | ||||
\(562\) | 10242.3 | − | 11168.9i | 0.768765 | − | 0.838316i | ||||
\(563\) | −1625.53 | + | 9218.81i | −0.121683 | + | 0.690101i | 0.861539 | + | 0.507691i | \(0.169501\pi\) |
−0.983223 | + | 0.182410i | \(0.941610\pi\) | |||||||
\(564\) | −3944.00 | − | 9531.36i | −0.294455 | − | 0.711601i | ||||
\(565\) | −1052.35 | + | 883.025i | −0.0783586 | + | 0.0657507i | ||||
\(566\) | −9904.27 | + | 5151.02i | −0.735526 | + | 0.382532i | ||||
\(567\) | 10532.7 | − | 18311.8i | 0.780129 | − | 1.35631i | ||||
\(568\) | −7062.10 | − | 937.997i | −0.521688 | − | 0.0692913i | ||||
\(569\) | −13846.5 | − | 16501.6i | −1.02017 | − | 1.21579i | −0.976226 | − | 0.216755i | \(-0.930453\pi\) |
−0.0439422 | − | 0.999034i | \(-0.513992\pi\) | |||||||
\(570\) | −5790.60 | − | 506.477i | −0.425512 | − | 0.0372175i | ||||
\(571\) | 14813.9 | + | 2612.08i | 1.08571 | + | 0.191440i | 0.687739 | − | 0.725958i | \(-0.258603\pi\) |
0.397971 | + | 0.917398i | \(0.369714\pi\) | |||||||
\(572\) | 5910.24 | − | 21989.9i | 0.432027 | − | 1.60742i | ||||
\(573\) | 2031.58 | + | 15383.1i | 0.148116 | + | 1.12153i | ||||
\(574\) | 16747.9 | − | 12840.9i | 1.21784 | − | 0.933744i | ||||
\(575\) | 5532.21 | + | 9582.07i | 0.401233 | + | 0.694956i | ||||
\(576\) | 12983.3 | + | 4747.38i | 0.939184 | + | 0.343416i | ||||
\(577\) | −124.722 | + | 216.024i | −0.00899867 | + | 0.0155862i | −0.870490 | − | 0.492187i | \(-0.836198\pi\) |
0.861491 | + | 0.507773i | \(0.169531\pi\) | |||||||
\(578\) | 344.741 | + | 2626.34i | 0.0248085 | + | 0.188999i | ||||
\(579\) | −13355.4 | − | 12228.0i | −0.958606 | − | 0.877685i | ||||
\(580\) | −1859.15 | + | 496.632i | −0.133098 | + | 0.0355544i | ||||
\(581\) | −3795.98 | + | 4523.87i | −0.271056 | + | 0.323032i | ||||
\(582\) | −21356.1 | + | 5722.88i | −1.52103 | + | 0.407596i | ||||
\(583\) | 7378.13 | − | 20271.2i | 0.524135 | − | 1.44005i | ||||
\(584\) | −5555.66 | + | 7223.09i | −0.393656 | + | 0.511804i | ||||
\(585\) | 5349.14 | − | 472.367i | 0.378051 | − | 0.0333845i | ||||
\(586\) | −18986.3 | − | 12105.9i | −1.33843 | − | 0.853393i | ||||
\(587\) | −793.047 | − | 4497.59i | −0.0557624 | − | 0.316244i | 0.944149 | − | 0.329517i | \(-0.106886\pi\) |
−0.999912 | + | 0.0132730i | \(0.995775\pi\) | |||||||
\(588\) | 17418.6 | − | 11088.1i | 1.22165 | − | 0.777659i | ||||
\(589\) | −3878.52 | + | 1411.67i | −0.271327 | + | 0.0987550i | ||||
\(590\) | 1276.83 | + | 4054.99i | 0.0890951 | + | 0.282951i | ||||
\(591\) | 880.303 | − | 20351.9i | 0.0612704 | − | 1.41652i | ||||
\(592\) | −19817.6 | − | 11482.2i | −1.37584 | − | 0.797156i | ||||
\(593\) | − | 5805.25i | − | 0.402012i | −0.979590 | − | 0.201006i | \(-0.935579\pi\) | ||
0.979590 | − | 0.201006i | \(-0.0644211\pi\) | |||||||
\(594\) | 11157.4 | + | 13274.3i | 0.770696 | + | 0.916923i | ||||
\(595\) | − | 5579.79i | − | 0.384452i | ||||||
\(596\) | −22231.9 | + | 1927.89i | −1.52794 | + | 0.132499i | ||||
\(597\) | 363.602 | − | 189.467i | 0.0249267 | − | 0.0129889i | ||||
\(598\) | −16807.7 | + | 5292.38i | −1.14936 | + | 0.361909i | ||||
\(599\) | 9025.10 | − | 3284.87i | 0.615619 | − | 0.224067i | −0.0153412 | − | 0.999882i | \(-0.504883\pi\) |
0.630960 | + | 0.775815i | \(0.282661\pi\) | |||||||
\(600\) | −11783.6 | + | 6791.58i | −0.801770 | + | 0.462109i | ||||
\(601\) | 1317.53 | + | 7472.07i | 0.0894227 | + | 0.507141i | 0.996314 | + | 0.0857774i | \(0.0273374\pi\) |
−0.906892 | + | 0.421364i | \(0.861551\pi\) | |||||||
\(602\) | 11529.8 | − | 18082.9i | 0.780597 | − | 1.22426i | ||||
\(603\) | 4116.27 | + | 1099.37i | 0.277989 | + | 0.0742451i | ||||
\(604\) | 216.172 | − | 100.601i | 0.0145628 | − | 0.00677715i | ||||
\(605\) | 604.282 | − | 1660.25i | 0.0406075 | − | 0.111568i | ||||
\(606\) | −9452.94 | + | 9453.37i | −0.633662 | + | 0.633692i | ||||
\(607\) | 233.834 | − | 278.673i | 0.0156360 | − | 0.0186342i | −0.758170 | − | 0.652057i | \(-0.773906\pi\) |
0.773806 | + | 0.633423i | \(0.218351\pi\) | |||||||
\(608\) | 3015.86 | + | 23251.6i | 0.201167 | + | 1.55095i | ||||
\(609\) | 11311.1 | − | 3571.42i | 0.752625 | − | 0.237638i | ||||
\(610\) | 3227.71 | − | 423.679i | 0.214239 | − | 0.0281217i | ||||
\(611\) | −8081.27 | + | 13997.2i | −0.535079 | + | 0.926784i | ||||
\(612\) | −10433.8 | + | 8755.78i | −0.689149 | + | 0.578319i | ||||
\(613\) | 10369.7 | + | 17960.8i | 0.683243 | + | 1.18341i | 0.973986 | + | 0.226610i | \(0.0727642\pi\) |
−0.290743 | + | 0.956801i | \(0.593902\pi\) | |||||||
\(614\) | 10852.7 | + | 14154.8i | 0.713324 | + | 0.930359i | ||||
\(615\) | −3240.16 | + | 2488.35i | −0.212449 | + | 0.163155i | ||||
\(616\) | 6169.58 | + | 27981.2i | 0.403538 | + | 1.83019i | ||||
\(617\) | −2201.22 | − | 388.134i | −0.143627 | − | 0.0253253i | 0.101372 | − | 0.994849i | \(-0.467677\pi\) |
−0.244999 | + | 0.969523i | \(0.578788\pi\) | |||||||
\(618\) | −1993.45 | − | 1395.76i | −0.129754 | − | 0.0908506i | ||||
\(619\) | 8991.32 | + | 10715.4i | 0.583832 | + | 0.695783i | 0.974408 | − | 0.224787i | \(-0.0721687\pi\) |
−0.390576 | + | 0.920571i | \(0.627724\pi\) | |||||||
\(620\) | 446.977 | − | 637.310i | 0.0289533 | − | 0.0412822i | ||||
\(621\) | 4019.68 | − | 12803.2i | 0.259749 | − | 0.827331i | ||||
\(622\) | −82.0365 | − | 157.738i | −0.00528837 | − | 0.0101684i | ||||
\(623\) | 13444.4 | − | 11281.2i | 0.864587 | − | 0.725475i | ||||
\(624\) | −6490.18 | − | 20665.3i | −0.416371 | − | 1.32576i | ||||
\(625\) | 2121.19 | − | 12029.9i | 0.135756 | − | 0.769912i | ||||
\(626\) | 9151.32 | + | 8392.09i | 0.584282 | + | 0.535807i | ||||
\(627\) | −11244.0 | + | 27176.5i | −0.716173 | + | 1.73098i | ||||
\(628\) | −13082.8 | − | 6112.83i | −0.831309 | − | 0.388421i | ||||
\(629\) | 19543.7 | − | 11283.5i | 1.23888 | − | 0.715269i | ||||
\(630\) | −5697.54 | + | 3633.17i | −0.360310 | + | 0.229760i | ||||
\(631\) | 18575.5 | + | 10724.5i | 1.17191 | + | 0.676605i | 0.954130 | − | 0.299392i | \(-0.0967840\pi\) |
0.217784 | + | 0.975997i | \(0.430117\pi\) | |||||||
\(632\) | −4115.61 | + | 7883.88i | −0.259035 | + | 0.496209i | ||||
\(633\) | −13831.4 | − | 3060.46i | −0.868481 | − | 0.192168i | ||||
\(634\) | −19377.6 | − | 4303.70i | −1.21385 | − | 0.269592i | ||||
\(635\) | 4756.67 | + | 3991.32i | 0.297264 | + | 0.249434i | ||||
\(636\) | −4434.30 | − | 20035.9i | −0.276465 | − | 1.24918i | ||||
\(637\) | −30402.2 | − | 11065.5i | −1.89102 | − | 0.688275i | ||||
\(638\) | −428.431 | + | 9727.21i | −0.0265858 | + | 0.603611i | ||||
\(639\) | −8469.05 | − | 734.017i | −0.524304 | − | 0.0454417i | ||||
\(640\) | −2978.69 | − | 3268.21i | −0.183973 | − | 0.201855i | ||||
\(641\) | 10084.8 | − | 1778.23i | 0.621414 | − | 0.109572i | 0.145928 | − | 0.989295i | \(-0.453383\pi\) |
0.475486 | + | 0.879723i | \(0.342272\pi\) | |||||||
\(642\) | 14665.5 | − | 10269.4i | 0.901556 | − | 0.631308i | ||||
\(643\) | 2497.62 | + | 6862.16i | 0.153183 | + | 0.420866i | 0.992419 | − | 0.122901i | \(-0.0392197\pi\) |
−0.839236 | + | 0.543767i | \(0.816997\pi\) | |||||||
\(644\) | 15691.3 | − | 15667.3i | 0.960133 | − | 0.958663i | ||||
\(645\) | −2229.22 | + | 3502.32i | −0.136086 | + | 0.213804i | ||||
\(646\) | −21339.9 | − | 8848.85i | −1.29970 | − | 0.538937i | ||||
\(647\) | 29683.8 | 1.80370 | 0.901848 | − | 0.432054i | \(-0.142211\pi\) | ||||
0.901848 | + | 0.432054i | \(0.142211\pi\) | |||||||
\(648\) | 15734.3 | + | 4952.78i | 0.953860 | + | 0.300252i | ||||
\(649\) | 21510.2 | 1.30100 | ||||||||
\(650\) | 19685.3 | + | 8162.74i | 1.18788 | + | 0.492568i | ||||
\(651\) | −2576.43 | + | 4047.81i | −0.155112 | + | 0.243696i | ||||
\(652\) | −9198.09 | + | 9184.02i | −0.552493 | + | 0.551647i | ||||
\(653\) | −4763.33 | − | 13087.1i | −0.285457 | − | 0.784287i | −0.996687 | − | 0.0813281i | \(-0.974084\pi\) |
0.711230 | − | 0.702959i | \(-0.248138\pi\) | |||||||
\(654\) | −2006.01 | + | 1404.69i | −0.119941 | + | 0.0839874i | ||||
\(655\) | −3959.18 | + | 698.110i | −0.236180 | + | 0.0416449i | ||||
\(656\) | 12607.5 | + | 10611.9i | 0.750364 | + | 0.631591i | ||||
\(657\) | −6229.53 | + | 8912.09i | −0.369920 | + | 0.529214i | ||||
\(658\) | 894.926 | − | 20318.6i | 0.0530210 | − | 1.20380i | ||||
\(659\) | 12416.1 | + | 4519.08i | 0.733933 | + | 0.267130i | 0.681829 | − | 0.731512i | \(-0.261185\pi\) |
0.0521042 | + | 0.998642i | \(0.483407\pi\) | |||||||
\(660\) | −1198.61 | − | 5415.78i | −0.0706904 | − | 0.319407i | ||||
\(661\) | −13862.5 | − | 11632.1i | −0.815719 | − | 0.684470i | 0.136246 | − | 0.990675i | \(-0.456496\pi\) |
−0.951965 | + | 0.306205i | \(0.900941\pi\) | |||||||
\(662\) | 11575.5 | + | 2570.88i | 0.679600 | + | 0.150937i | ||||
\(663\) | 20838.1 | + | 4610.83i | 1.22064 | + | 0.270090i | ||||
\(664\) | −4087.83 | − | 2133.96i | −0.238913 | − | 0.124719i | ||||
\(665\) | −9925.44 | − | 5730.46i | −0.578785 | − | 0.334162i | ||||
\(666\) | −24247.1 | − | 12609.0i | −1.41075 | − | 0.733619i | ||||
\(667\) | 6525.40 | − | 3767.44i | 0.378808 | − | 0.218705i | ||||
\(668\) | 689.182 | + | 322.013i | 0.0399180 | + | 0.0186513i | ||||
\(669\) | −6041.94 | + | 14603.3i | −0.349170 | + | 0.843941i | ||||
\(670\) | −1004.44 | − | 921.112i | −0.0579180 | − | 0.0531129i | ||||
\(671\) | 2860.23 | − | 16221.2i | 0.164557 | − | 0.933252i | ||||
\(672\) | 19244.3 | + | 19302.5i | 1.10471 | + | 1.10805i | ||||
\(673\) | 2171.45 | − | 1822.07i | 0.124374 | − | 0.104362i | −0.578479 | − | 0.815697i | \(-0.696354\pi\) |
0.702853 | + | 0.711335i | \(0.251909\pi\) | |||||||
\(674\) | −9575.88 | − | 18412.3i | −0.547254 | − | 1.05225i | ||||
\(675\) | −13676.7 | + | 8736.45i | −0.779875 | + | 0.498172i | ||||
\(676\) | −9395.90 | + | 13396.9i | −0.534587 | + | 0.762226i | ||||
\(677\) | 4873.54 | + | 5808.06i | 0.276670 | + | 0.329722i | 0.886429 | − | 0.462865i | \(-0.153178\pi\) |
−0.609759 | + | 0.792587i | \(0.708734\pi\) | |||||||
\(678\) | 5416.31 | + | 3792.36i | 0.306803 | + | 0.214815i | ||||
\(679\) | −42931.2 | − | 7569.93i | −2.42643 | − | 0.427846i | ||||
\(680\) | 4254.78 | − | 938.135i | 0.239946 | − | 0.0529056i | ||||
\(681\) | −1785.64 | + | 1371.32i | −0.100479 | + | 0.0771647i | ||||
\(682\) | −2396.50 | − | 3125.65i | −0.134555 | − | 0.175495i | ||||
\(683\) | −9062.12 | − | 15696.1i | −0.507690 | − | 0.879345i | −0.999960 | − | 0.00890280i | \(-0.997166\pi\) |
0.492270 | − | 0.870442i | \(-0.336167\pi\) | |||||||
\(684\) | 4859.47 | + | 27552.0i | 0.271647 | + | 1.54017i | ||||
\(685\) | 1036.08 | − | 1794.55i | 0.0577907 | − | 0.100097i | ||||
\(686\) | 12492.1 | − | 1639.75i | 0.695264 | − | 0.0912624i | ||||
\(687\) | −13814.1 | + | 4361.75i | −0.767164 | + | 0.242228i | ||||
\(688\) | 15727.3 | + | 5751.57i | 0.871510 | + | 0.318716i | ||||
\(689\) | −20667.9 | + | 24631.0i | −1.14279 | + | 1.36193i | ||||
\(690\) | −3035.20 | + | 3035.34i | −0.167461 | + | 0.167469i | ||||
\(691\) | 5193.08 | − | 14267.9i | 0.285896 | − | 0.785492i | −0.710734 | − | 0.703461i | \(-0.751637\pi\) |
0.996630 | − | 0.0820314i | \(-0.0261408\pi\) | |||||||
\(692\) | −2966.64 | + | 1380.60i | −0.162969 | + | 0.0758419i | ||||
\(693\) | 8875.93 | + | 33018.2i | 0.486535 | + | 1.80989i | ||||
\(694\) | −7853.40 | + | 12317.0i | −0.429555 | + | 0.673696i | ||||
\(695\) | −1049.26 | − | 5950.65i | −0.0572672 | − | 0.324778i | ||||
\(696\) | 4625.08 | + | 8024.63i | 0.251887 | + | 0.437030i | ||||
\(697\) | −15257.7 | + | 5553.34i | −0.829162 | + | 0.301790i | ||||
\(698\) | −21184.7 | + | 6670.59i | −1.14878 | + | 0.361727i | ||||
\(699\) | 16370.5 | − | 8530.37i | 0.885819 | − | 0.461586i | ||||
\(700\) | −26716.2 | + | 2316.75i | −1.44254 | + | 0.125093i | ||||
\(701\) | − | 33264.7i | − | 1.79228i | −0.443770 | − | 0.896141i | \(-0.646359\pi\) | ||
0.443770 | − | 0.896141i | \(-0.353641\pi\) | |||||||
\(702\) | −8860.22 | − | 24280.1i | −0.476364 | − | 1.30541i | ||||
\(703\) | − | 46352.9i | − | 2.48682i | ||||||
\(704\) | −20299.4 | + | 9409.03i | −1.08673 | + | 0.503716i | ||||
\(705\) | −170.140 | + | 3933.50i | −0.00908916 | + | 0.210134i | ||||
\(706\) | −1185.24 | − | 3764.14i | −0.0631831 | − | 0.200659i | ||||
\(707\) | −24769.6 | + | 9015.38i | −1.31762 | + | 0.479573i | ||||
\(708\) | 17261.3 | − | 10987.9i | 0.916270 | − | 0.583265i | ||||
\(709\) | 4391.56 | + | 24905.8i | 0.232621 | + | 1.31926i | 0.847565 | + | 0.530691i | \(0.178067\pi\) |
−0.614944 | + | 0.788571i | \(0.710821\pi\) | |||||||
\(710\) | 2292.79 | + | 1461.90i | 0.121193 | + | 0.0772736i | ||||
\(711\) | −4477.04 | + | 9621.44i | −0.236149 | + | 0.507499i | ||||
\(712\) | 10862.7 | + | 8355.09i | 0.571765 | + | 0.439775i | ||||
\(713\) | −1042.48 | + | 2864.18i | −0.0547560 | + | 0.150441i | ||||
\(714\) | −25940.9 | + | 6951.49i | −1.35968 | + | 0.364360i | ||||
\(715\) | −5586.60 | + | 6657.85i | −0.292205 | + | 0.348237i | ||||
\(716\) | −21712.6 | + | 5800.07i | −1.13330 | + | 0.302736i | ||||
\(717\) | −917.522 | − | 840.069i | −0.0477901 | − | 0.0437558i | ||||
\(718\) | −24.4460 | − | 186.236i | −0.00127063 | − | 0.00968006i | ||||
\(719\) | 11833.1 | − | 20495.6i | 0.613771 | − | 1.06308i | −0.376828 | − | 0.926283i | \(-0.622985\pi\) |
0.990599 | − | 0.136799i | \(-0.0436815\pi\) | |||||||
\(720\) | −3728.35 | − | 3733.72i | −0.192982 | − | 0.193260i | ||||
\(721\) | −2399.08 | − | 4155.32i | −0.123920 | − | 0.214636i | ||||
\(722\) | −22260.9 | + | 17067.9i | −1.14746 | + | 0.879780i | ||||
\(723\) | 2829.09 | + | 21421.8i | 0.145525 | + | 1.10192i | ||||
\(724\) | 183.860 | − | 684.079i | 0.00943799 | − | 0.0351155i | ||||
\(725\) | −8974.01 | − | 1582.36i | −0.459705 | − | 0.0810584i | ||||
\(726\) | −8471.49 | − | 740.962i | −0.433067 | − | 0.0378783i | ||||
\(727\) | 13722.0 | + | 16353.2i | 0.700027 | + | 0.834260i | 0.992529 | − | 0.122005i | \(-0.0389324\pi\) |
−0.292502 | + | 0.956265i | \(0.594488\pi\) | |||||||
\(728\) | 5623.15 | − | 42336.2i | 0.286274 | − | 2.15534i | ||||
\(729\) | 19024.7 | + | 5048.00i | 0.966553 | + | 0.256465i | ||||
\(730\) | 3085.78 | − | 1604.86i | 0.156452 | − | 0.0813676i | ||||
\(731\) | −12639.7 | + | 10605.9i | −0.639528 | + | 0.536627i | ||||
\(732\) | −5990.91 | − | 14478.1i | −0.302500 | − | 0.731044i | ||||
\(733\) | 1430.03 | − | 8110.08i | 0.0720590 | − | 0.408667i | −0.927347 | − | 0.374203i | \(-0.877916\pi\) |
0.999406 | − | 0.0344641i | \(-0.0109724\pi\) | |||||||
\(734\) | 1160.65 | − | 1265.65i | 0.0583656 | − | 0.0636460i | ||||
\(735\) | −7813.40 | + | 1031.88i | −0.392111 | + | 0.0517844i | ||||
\(736\) | 14585.1 | + | 9331.02i | 0.730452 | + | 0.467318i | ||||
\(737\) | −5971.80 | + | 3447.82i | −0.298472 | + | 0.172323i | ||||
\(738\) | 15605.3 | + | 11963.7i | 0.778371 | + | 0.596735i | ||||
\(739\) | 30396.1 | + | 17549.2i | 1.51304 | + | 0.873556i | 0.999884 | + | 0.0152627i | \(0.00485845\pi\) |
0.513160 | + | 0.858293i | \(0.328475\pi\) | |||||||
\(740\) | 5008.78 | + | 7164.95i | 0.248820 | + | 0.355931i | ||||
\(741\) | 29602.7 | − | 32332.0i | 1.46759 | − | 1.60290i | ||||
\(742\) | 8772.44 | − | 39498.3i | 0.434025 | − | 1.95422i | ||||
\(743\) | 17954.8 | + | 15065.8i | 0.886536 | + | 0.743892i | 0.967512 | − | 0.252824i | \(-0.0813594\pi\) |
−0.0809764 | + | 0.996716i | \(0.525804\pi\) | |||||||
\(744\) | −3519.77 | − | 1284.05i | −0.173442 | − | 0.0632737i | ||||
\(745\) | 8003.87 | + | 2913.17i | 0.393610 | + | 0.143262i | ||||
\(746\) | 18843.6 | + | 829.956i | 0.924814 | + | 0.0407331i | ||||
\(747\) | −4988.76 | − | 2321.37i | −0.244350 | − | 0.113701i | ||||
\(748\) | 1938.18 | − | 21959.7i | 0.0947416 | − | 1.07343i | ||||
\(749\) | 34764.0 | − | 6129.84i | 1.69593 | − | 0.299038i | ||||
\(750\) | 10759.8 | − | 941.610i | 0.523856 | − | 0.0458436i | ||||
\(751\) | −2242.45 | − | 6161.09i | −0.108959 | − | 0.299362i | 0.873215 | − | 0.487335i | \(-0.162031\pi\) |
−0.982174 | + | 0.187972i | \(0.939809\pi\) | |||||||
\(752\) | 15644.1 | − | 2733.78i | 0.758620 | − | 0.132568i | ||||
\(753\) | −39920.6 | − | 1726.73i | −1.93199 | − | 0.0835665i | ||||
\(754\) | 5558.84 | − | 13405.7i | 0.268489 | − | 0.647489i | ||||
\(755\) | −91.0079 | −0.00438691 | ||||||||
\(756\) | 23989.1 | + | 21962.0i | 1.15407 | + | 1.05655i | ||||
\(757\) | 5101.24 | 0.244925 | 0.122462 | − | 0.992473i | \(-0.460921\pi\) | ||||
0.122462 | + | 0.992473i | \(0.460921\pi\) | |||||||
\(758\) | 10630.6 | − | 25636.8i | 0.509394 | − | 1.22846i | ||||
\(759\) | 10036.5 | + | 19260.9i | 0.479978 | + | 0.921116i | ||||
\(760\) | 2700.89 | − | 8531.96i | 0.128910 | − | 0.407219i | ||||
\(761\) | 6867.67 | + | 18868.8i | 0.327139 | + | 0.898807i | 0.988832 | + | 0.149033i | \(0.0476160\pi\) |
−0.661693 | + | 0.749775i | \(0.730162\pi\) | |||||||
\(762\) | 12630.0 | − | 27086.7i | 0.600440 | − | 1.28772i | ||||
\(763\) | −4755.18 | + | 838.467i | −0.225621 | + | 0.0397832i | ||||
\(764\) | −23797.0 | − | 2100.33i | −1.12689 | − | 0.0994598i | ||||
\(765\) | 5020.68 | − | 1349.66i | 0.237285 | − | 0.0637870i | ||||
\(766\) | −16566.3 | − | 729.655i | −0.781415 | − | 0.0344171i | ||||
\(767\) | −30127.6 | − | 10965.6i | −1.41831 | − | 0.516224i | ||||
\(768\) | −11483.2 | + | 17919.8i | −0.539539 | + | 0.841961i | ||||
\(769\) | −4010.81 | − | 3365.47i | −0.188080 | − | 0.157818i | 0.543886 | − | 0.839159i | \(-0.316952\pi\) |
−0.731966 | + | 0.681341i | \(0.761397\pi\) | |||||||
\(770\) | 2371.22 | − | 10676.5i | 0.110978 | − | 0.499682i | ||||
\(771\) | −5010.02 | − | 15867.3i | −0.234022 | − | 0.741175i | ||||
\(772\) | 22849.2 | − | 15973.1i | 1.06523 | − | 0.744670i | ||||
\(773\) | 14947.7 | + | 8630.03i | 0.695511 | + | 0.401553i | 0.805673 | − | 0.592360i | \(-0.201804\pi\) |
−0.110162 | + | 0.993914i | \(0.535137\pi\) | |||||||
\(774\) | 19059.8 | + | 6000.55i | 0.885131 | + | 0.278663i | ||||
\(775\) | 3192.30 | − | 1843.07i | 0.147962 | − | 0.0854260i | ||||
\(776\) | −1445.74 | − | 34009.2i | −0.0668801 | − | 1.57327i | ||||
\(777\) | −32821.0 | − | 42737.2i | −1.51538 | − | 1.97322i | ||||
\(778\) | −24525.5 | + | 26744.3i | −1.13018 | + | 1.23243i | ||||
\(779\) | −5791.28 | + | 32844.0i | −0.266359 | + | 1.51060i | ||||
\(780\) | −1082.09 | + | 8196.47i | −0.0496730 | + | 0.376257i | ||||
\(781\) | 10539.6 | − | 8843.75i | 0.482888 | − | 0.405191i | ||||
\(782\) | −15135.5 | + | 7871.65i | −0.692126 | + | 0.359961i | ||||
\(783\) | 5949.53 | + | 9313.84i | 0.271544 | + | 0.425095i | ||||
\(784\) | 10827.1 | + | 29889.6i | 0.493217 | + | 1.36159i | ||||
\(785\) | 3542.90 | + | 4222.27i | 0.161085 | + | 0.191974i | ||||
\(786\) | 8178.06 | + | 17536.8i | 0.371122 | + | 0.795825i | ||||
\(787\) | −41720.0 | − | 7356.36i | −1.88965 | − | 0.333197i | −0.895851 | − | 0.444355i | \(-0.853433\pi\) |
−0.993803 | + | 0.111158i | \(0.964544\pi\) | |||||||
\(788\) | 30288.1 | + | 8140.55i | 1.36925 | + | 0.368014i | ||||
\(789\) | 32781.3 | + | 13562.9i | 1.47915 | + | 0.611979i | ||||
\(790\) | 2693.86 | − | 2065.44i | 0.121321 | − | 0.0930189i | ||||
\(791\) | 6518.42 | + | 11290.2i | 0.293007 | + | 0.507503i | ||||
\(792\) | −23685.2 | + | 12319.6i | −1.06265 | + | 0.552724i | ||||
\(793\) | −12275.4 | + | 21261.6i | −0.549700 | + | 0.952108i | ||||
\(794\) | 1916.93 | + | 14603.7i | 0.0856791 | + | 0.652728i | ||||
\(795\) | −1692.17 | + | 7647.59i | −0.0754908 | + | 0.341172i | ||||
\(796\) | 162.911 | + | 609.860i | 0.00725405 | + | 0.0271557i | ||||
\(797\) | 15086.9 | − | 17979.9i | 0.670523 | − | 0.799098i | −0.318333 | − | 0.947979i | \(-0.603123\pi\) |
0.988855 | + | 0.148881i | \(0.0475673\pi\) | |||||||
\(798\) | −14275.9 | + | 53283.4i | −0.633286 | + | 2.36368i | ||||
\(799\) | −5351.86 | + | 14704.1i | −0.236965 | + | 0.651056i | ||||
\(800\) | −6258.41 | − | 19982.5i | −0.276585 | − | 0.883109i | ||||
\(801\) | 13402.8 | + | 9368.51i | 0.591215 | + | 0.413258i | ||||
\(802\) | 26681.5 | + | 17012.4i | 1.17476 | + | 0.749038i | ||||
\(803\) | −3055.96 | − | 17331.2i | −0.134299 | − | 0.761650i | ||||
\(804\) | −3030.96 | + | 5817.30i | −0.132952 | + | 0.255175i | ||||
\(805\) | −7953.15 | + | 2894.71i | −0.348213 | + | 0.126739i | ||||
\(806\) | 1763.17 | + | 5599.54i | 0.0770535 | + | 0.244709i | ||||
\(807\) | −21034.4 | − | 13388.4i | −0.917528 | − | 0.584006i | ||||
\(808\) | −11039.1 | − | 17371.9i | −0.480635 | − | 0.756362i | ||||
\(809\) | 43129.6i | 1.87436i | 0.348851 | + | 0.937178i | \(0.386572\pi\) | ||||
−0.348851 | + | 0.937178i | \(0.613428\pi\) | |||||||
\(810\) | −4647.26 | − | 4247.83i | −0.201590 | − | 0.184264i | ||||
\(811\) | − | 264.799i | − | 0.0114653i | −0.999984 | − | 0.00573265i | \(-0.998175\pi\) | ||
0.999984 | − | 0.00573265i | \(-0.00182477\pi\) | |||||||
\(812\) | 1577.71 | + | 18193.7i | 0.0681856 | + | 0.786300i | ||||
\(813\) | 5155.13 | + | 3281.24i | 0.222384 | + | 0.141547i | ||||
\(814\) | 42190.6 | − | 13284.9i | 1.81668 | − | 0.572033i | ||||
\(815\) | 4662.05 | − | 1696.85i | 0.200374 | − | 0.0729300i | ||||
\(816\) | −9662.22 | − | 18612.1i | −0.414516 | − | 0.798471i | ||||
\(817\) | 5885.09 | + | 33376.0i | 0.252011 | + | 1.42923i | ||||
\(818\) | 21561.5 | − | 33816.2i | 0.921614 | − | 1.44542i | ||||
\(819\) | 4400.32 | − | 50770.7i | 0.187741 | − | 2.16614i | ||||
\(820\) | −2653.86 | − | 5702.61i | −0.113020 | − | 0.242858i | ||||
\(821\) | 1191.37 | − | 3273.27i | 0.0506445 | − | 0.139145i | −0.911791 | − | 0.410654i | \(-0.865300\pi\) |
0.962436 | + | 0.271509i | \(0.0875227\pi\) | |||||||
\(822\) | −9633.79 | − | 2581.13i | −0.408780 | − | 0.109522i | ||||
\(823\) | 11979.4 | − | 14276.5i | 0.507383 | − | 0.604675i | −0.450167 | − | 0.892945i | \(-0.648635\pi\) |
0.957549 | + | 0.288270i | \(0.0930799\pi\) | |||||||
\(824\) | 2765.22 | − | 2528.02i | 0.116906 | − | 0.106878i | ||||
\(825\) | 5674.64 | − | 25645.9i | 0.239474 | − | 1.08227i | ||||
\(826\) | 40001.4 | − | 5250.71i | 1.68502 | − | 0.221181i | ||||
\(827\) | −22672.8 | + | 39270.5i | −0.953339 | + | 1.65123i | −0.215215 | + | 0.976567i | \(0.569045\pi\) |
−0.738124 | + | 0.674665i | \(0.764288\pi\) | |||||||
\(828\) | 17892.9 | + | 10329.4i | 0.750993 | + | 0.433540i | ||||
\(829\) | −19841.0 | − | 34365.7i | −0.831252 | − | 1.43977i | −0.897046 | − | 0.441937i | \(-0.854291\pi\) |
0.0657940 | − | 0.997833i | \(-0.479042\pi\) | |||||||
\(830\) | 1070.94 | + | 1396.78i | 0.0447865 | + | 0.0584132i | ||||
\(831\) | 2364.74 | + | 978.383i | 0.0987147 | + | 0.0408420i | ||||
\(832\) | 33228.2 | − | 2830.19i | 1.38459 | − | 0.117932i | ||||
\(833\) | −30847.0 | − | 5439.17i | −1.28306 | − | 0.226238i | ||||
\(834\) | −26357.9 | + | 12291.6i | −1.09436 | + | 0.510341i | ||||
\(835\) | −186.634 | − | 222.422i | −0.00773502 | − | 0.00921824i | ||||
\(836\) | −37071.9 | − | 26000.4i | −1.53368 | − | 1.07565i | ||||
\(837\) | −4265.41 | − | 1339.17i | −0.176146 | − | 0.0553028i | ||||
\(838\) | 10238.3 | + | 19686.0i | 0.422049 | + | 0.811507i | ||||
\(839\) | 17200.3 | − | 14432.8i | 0.707772 | − | 0.593891i | −0.216201 | − | 0.976349i | \(-0.569367\pi\) |
0.923973 | + | 0.382458i | \(0.124922\pi\) | |||||||
\(840\) | −3550.99 | − | 9778.85i | −0.145858 | − | 0.401670i | ||||
\(841\) | 3157.52 | − | 17907.2i | 0.129465 | − | 0.734231i | ||||
\(842\) | 22779.0 | + | 20889.1i | 0.932322 | + | 0.854973i | ||||
\(843\) | 16956.9 | + | 22080.1i | 0.692797 | + | 0.902112i | ||||
\(844\) | 9232.40 | − | 19759.4i | 0.376531 | − | 0.805862i | ||||
\(845\) | 5408.96 | − | 3122.86i | 0.220206 | − | 0.127136i | ||||
\(846\) | 18499.2 | − | 4109.49i | 0.751790 | − | 0.167006i | ||||
\(847\) | −14520.6 | − | 8383.50i | −0.589062 | − | 0.340095i | ||||
\(848\) | 31593.8 | + | 48.3889i | 1.27940 | + | 0.00195953i | ||||
\(849\) | −6175.11 | − | 19557.2i | −0.249622 | − | 0.790581i | ||||
\(850\) | 20141.1 | + | 4473.26i | 0.812745 | + | 0.180508i | ||||
\(851\) | −26222.0 | − | 22002.8i | −1.05626 | − | 0.886307i | ||||
\(852\) | 3940.08 | − | 12480.7i | 0.158433 | − | 0.501856i | ||||
\(853\) | −30340.9 | − | 11043.2i | −1.21788 | − | 0.443272i | −0.348450 | − | 0.937327i | \(-0.613292\pi\) |
−0.869430 | + | 0.494055i | \(0.835514\pi\) | |||||||
\(854\) | 1359.39 | − | 30863.8i | 0.0544698 | − | 1.23670i | ||||
\(855\) | 2755.46 | − | 10317.0i | 0.110216 | − | 0.412671i | ||||
\(856\) | 10519.1 | + | 25478.1i | 0.420019 | + | 1.01732i | ||||
\(857\) | 5304.75 | − | 935.371i | 0.211443 | − | 0.0372832i | −0.0669230 | − | 0.997758i | \(-0.521318\pi\) |
0.278366 | + | 0.960475i | \(0.410207\pi\) | |||||||
\(858\) | 37912.9 | + | 17678.0i | 1.50854 | + | 0.703400i | ||||
\(859\) | −883.693 | − | 2427.93i | −0.0351004 | − | 0.0964375i | 0.920904 | − | 0.389788i | \(-0.127452\pi\) |
−0.956005 | + | 0.293351i | \(0.905230\pi\) | |||||||
\(860\) | −4516.21 | − | 4523.13i | −0.179072 | − | 0.179346i | ||||
\(861\) | 17916.2 | + | 34382.6i | 0.709156 | + | 1.36093i | ||||
\(862\) | 36838.7 | + | 15275.6i | 1.45560 | + | 0.603584i | ||||
\(863\) | −41361.5 | −1.63147 | −0.815737 | − | 0.578423i | \(-0.803668\pi\) | ||||
−0.815737 | + | 0.578423i | \(0.803668\pi\) | |||||||
\(864\) | −12713.5 | + | 21985.0i | −0.500603 | + | 0.865677i | ||||
\(865\) | 1248.95 | 0.0490931 | ||||||||
\(866\) | 3628.45 | + | 1504.58i | 0.142379 | + | 0.0590390i | ||||
\(867\) | −4861.73 | − | 210.290i | −0.190442 | − | 0.00823740i | ||||
\(868\) | −5219.62 | − | 5227.62i | −0.204108 | − | 0.204420i | ||||
\(869\) | −5874.36 | − | 16139.7i | −0.229314 | − | 0.630035i | ||||
\(870\) | −308.198 | − | 3521.78i | −0.0120102 | − | 0.137241i | ||||
\(871\) | 10121.9 | − | 1784.76i | 0.393762 | − | 0.0694308i | ||||
\(872\) | −1438.85 | − | 3485.02i | −0.0558781 | − | 0.135341i | ||||
\(873\) | −3572.94 | − | 40460.5i | −0.138518 | − | 1.56859i | ||||
\(874\) | −1541.89 | + | 35007.5i | −0.0596741 | + | 1.35486i | ||||
\(875\) | 20011.8 | + | 7283.71i | 0.773169 | + | 0.281411i | ||||
\(876\) | −11305.5 | − | 12346.7i | −0.436047 | − | 0.476205i | ||||
\(877\) | −30017.3 | − | 25187.5i | −1.15577 | − | 0.969809i | −0.155935 | − | 0.987767i | \(-0.549839\pi\) |
−0.999839 | + | 0.0179578i | \(0.994284\pi\) | |||||||
\(878\) | −2840.54 | − | 630.874i | −0.109184 | − | 0.0242494i | ||||
\(879\) | 27934.8 | − | 30510.4i | 1.07192 | − | 1.17075i | ||||
\(880\) | 8539.89 | + | 13.0797i | 0.327136 | + | 0.000501041i | ||||
\(881\) | −10315.6 | − | 5955.69i | −0.394484 | − | 0.227755i | 0.289617 | − | 0.957143i | \(-0.406472\pi\) |
−0.684101 | + | 0.729387i | \(0.739805\pi\) | |||||||
\(882\) | 14531.5 | + | 35039.6i | 0.554763 | + | 1.33769i | ||||
\(883\) | 5230.62 | − | 3019.90i | 0.199348 | − | 0.115094i | −0.397003 | − | 0.917817i | \(-0.629950\pi\) |
0.596351 | + | 0.802724i | \(0.296617\pi\) | |||||||
\(884\) | −13909.4 | + | 29769.2i | −0.529211 | + | 1.13263i | ||||
\(885\) | −7742.84 | + | 1022.56i | −0.294093 | + | 0.0388396i | ||||
\(886\) | 11935.5 | + | 10945.3i | 0.452575 | + | 0.415028i | ||||
\(887\) | −7045.57 | + | 39957.4i | −0.266705 | + | 1.51256i | 0.497431 | + | 0.867503i | \(0.334277\pi\) |
−0.764136 | + | 0.645055i | \(0.776834\pi\) | |||||||
\(888\) | 27070.4 | − | 32212.6i | 1.02300 | − | 1.21732i | ||||
\(889\) | 45140.9 | − | 37877.7i | 1.70301 | − | 1.42899i | ||||
\(890\) | −2413.52 | − | 4640.67i | −0.0909004 | − | 0.174781i | ||||
\(891\) | −27562.8 | + | 15973.1i | −1.03635 | + | 0.600583i | ||||
\(892\) | −19920.6 | − | 13971.3i | −0.747748 | − | 0.524433i | ||||
\(893\) | 20659.6 | + | 24621.1i | 0.774185 | + | 0.922638i | ||||
\(894\) | 3572.09 | − | 40840.0i | 0.133634 | − | 1.52785i | ||||
\(895\) | 8447.77 | + | 1489.57i | 0.315506 | + | 0.0556322i | ||||
\(896\) | −35452.8 | + | 22452.6i | −1.32187 | + | 0.837152i | ||||
\(897\) | −4238.47 | − | 32093.7i | −0.157768 | − | 1.19462i | ||||
\(898\) | −23504.7 | − | 30656.2i | −0.873454 | − | 1.13921i | ||||
\(899\) | −1255.14 | − | 2173.96i | −0.0465641 | − | 0.0806513i | ||||
\(900\) | −8546.81 | − | 23478.8i | −0.316548 | − | 0.869585i | ||||
\(901\) | −15564.7 | + | 26958.9i | −0.575512 | + | 0.996816i | ||||
\(902\) | −31554.5 | + | 4141.93i | −1.16480 | + | 0.152895i | ||||
\(903\) | 29058.5 | + | 26605.5i | 1.07088 | + | 0.980484i | ||||
\(904\) | −7513.25 | + | 6868.76i | −0.276424 | + | 0.252712i | ||||
\(905\) | −173.792 | + | 207.117i | −0.00638347 | + | 0.00760752i | ||||
\(906\) | 113.381 | + | 423.103i | 0.00415764 | + | 0.0155151i | ||||
\(907\) | 2569.58 | − | 7059.87i | 0.0940701 | − | 0.258455i | −0.883729 | − | 0.467998i | \(-0.844975\pi\) |
0.977799 | + | 0.209543i | \(0.0671976\pi\) | |||||||
\(908\) | −1462.53 | − | 3142.69i | −0.0534535 | − | 0.114861i | ||||
\(909\) | −14103.4 | − | 20106.9i | −0.514609 | − | 0.733669i | ||||
\(910\) | −8763.89 | + | 13744.9i | −0.319253 | + | 0.500704i | ||||
\(911\) | −5455.91 | − | 30942.0i | −0.198422 | − | 1.12531i | −0.907461 | − | 0.420137i | \(-0.861982\pi\) |
0.709039 | − | 0.705169i | \(-0.249129\pi\) | |||||||
\(912\) | −43030.7 | − | 1927.29i | −1.56238 | − | 0.0699769i | ||||
\(913\) | 8368.49 | − | 3045.88i | 0.303348 | − | 0.110410i | ||||
\(914\) | −46484.7 | + | 14637.0i | −1.68225 | + | 0.529703i | ||||
\(915\) | −258.442 | + | 5974.96i | −0.00933751 | + | 0.215875i | ||||
\(916\) | −1926.84 | − | 22219.8i | −0.0695028 | − | 0.801489i | ||||
\(917\) | 38152.3i | 1.37394i | ||||||||
\(918\) | −12529.6 | − | 21660.1i | −0.450478 | − | 0.778749i | ||||
\(919\) | − | 10113.6i | − | 0.363023i | −0.983389 | − | 0.181512i | \(-0.941901\pi\) | ||
0.983389 | − | 0.181512i | \(-0.0580990\pi\) | |||||||
\(920\) | −3544.48 | − | 5577.86i | −0.127020 | − | 0.199887i | ||||
\(921\) | −29059.1 | + | 15142.2i | −1.03967 | + | 0.541752i | ||||
\(922\) | 562.164 | + | 1785.34i | 0.0200801 | + | 0.0637712i | ||||
\(923\) | −19270.3 | + | 7013.82i | −0.687205 | + | 0.250122i | ||||
\(924\) | −52590.2 | + | 2277.18i | −1.87239 | + | 0.0810756i | ||||
\(925\) | 7188.52 | + | 40768.1i | 0.255521 | + | 1.44913i | ||||
\(926\) | −523.961 | − | 334.082i | −0.0185944 | − | 0.0118560i | ||||
\(927\) | 3158.66 | − | 3163.79i | 0.111914 | − | 0.112096i | ||||
\(928\) | −13608.1 | + | 4261.99i | −0.481366 | + | 0.150761i | ||||
\(929\) | 5001.57 | − | 13741.7i | 0.176637 | − | 0.485308i | −0.819504 | − | 0.573074i | \(-0.805751\pi\) |
0.996141 | + | 0.0877665i | \(0.0279729\pi\) | |||||||
\(930\) | 1011.23 | + | 1011.19i | 0.0356555 | + | 0.0356539i | ||||
\(931\) | −41355.3 | + | 49285.3i | −1.45582 | + | 1.73497i | ||||
\(932\) | 7334.75 | + | 27457.7i | 0.257787 | + | 0.965030i | ||||
\(933\) | 311.474 | − | 98.3465i | 0.0109295 | − | 0.00345093i | ||||
\(934\) | 4585.42 | + | 34933.1i | 0.160642 | + | 1.22382i | ||||
\(935\) | −4207.20 | + | 7287.08i | −0.147155 | + | 0.254880i | ||||
\(936\) | 39454.2 | − | 5180.73i | 1.37778 | − | 0.180916i | ||||
\(937\) | 25506.1 | + | 44177.8i | 0.889272 | + | 1.54026i | 0.840738 | + | 0.541442i | \(0.182121\pi\) |
0.0485336 | + | 0.998822i | \(0.484545\pi\) | |||||||
\(938\) | −10263.8 | + | 7869.46i | −0.357277 | + | 0.273931i | ||||
\(939\) | −18091.5 | + | 13893.7i | −0.628746 | + | 0.482859i | ||||
\(940\) | −5853.94 | − | 1573.36i | −0.203122 | − | 0.0545930i | ||||
\(941\) | −18712.8 | − | 3299.57i | −0.648268 | − | 0.114307i | −0.160161 | − | 0.987091i | \(-0.551201\pi\) |
−0.488107 | + | 0.872784i | \(0.662312\pi\) | |||||||
\(942\) | 15215.8 | − | 21731.5i | 0.526283 | − | 0.751646i | ||||
\(943\) | 15830.9 | + | 18866.5i | 0.546686 | + | 0.651515i | ||||
\(944\) | 10729.3 | + | 29619.7i | 0.369926 | + | 1.02123i | ||||
\(945\) | −4764.62 | − | 11463.3i | −0.164014 | − | 0.394604i | ||||
\(946\) | −28692.3 | + | 14922.3i | −0.986116 | + | 0.512860i | ||||
\(947\) | 18138.2 | − | 15219.8i | 0.622400 | − | 0.522256i | −0.276157 | − | 0.961113i | \(-0.589061\pi\) |
0.898557 | + | 0.438857i | \(0.144616\pi\) | |||||||
\(948\) | −12958.5 | − | 9950.82i | −0.443958 | − | 0.340915i | ||||
\(949\) | −4554.93 | + | 25832.3i | −0.155805 | + | 0.883616i | ||||
\(950\) | 28642.1 | − | 31233.3i | 0.978181 | − | 1.06668i | ||||
\(951\) | 13941.4 | − | 33696.2i | 0.475374 | − | 1.14897i | ||||
\(952\) | −1756.11 | − | 41310.5i | −0.0597856 | − | 1.40639i | ||||
\(953\) | 5624.59 | − | 3247.36i | 0.191184 | − | 0.110380i | −0.401353 | − | 0.915924i | \(-0.631460\pi\) |
0.592537 | + | 0.805543i | \(0.298127\pi\) | |||||||
\(954\) | 37662.5 | − | 1660.57i | 1.27816 | − | 0.0563554i | ||||
\(955\) | 7896.74 | + | 4559.19i | 0.267573 | + | 0.154484i | ||||
\(956\) | 1569.75 | − | 1097.36i | 0.0531059 | − | 0.0371245i | ||||
\(957\) | −17464.9 | − | 3864.44i | −0.589927 | − | 0.130532i | ||||
\(958\) | −9357.06 | + | 42130.6i | −0.315567 | + | 1.42085i | ||||
\(959\) | −15064.2 | − | 12640.3i | −0.507244 | − | 0.425629i | ||||
\(960\) | 6859.68 | − | 4351.88i | 0.230620 | − | 0.146309i | ||||
\(961\) | −27040.2 | − | 9841.82i | −0.907662 | − | 0.330362i | ||||
\(962\) | −65865.3 | − | 2901.01i | −2.20747 | − | 0.0972269i | ||||
\(963\) | 13924.5 | + | 29797.9i | 0.465950 | + | 0.997118i | ||||
\(964\) | −33138.6 | − | 2924.83i | −1.10718 | − | 0.0977203i | ||||
\(965\) | −10479.4 | + | 1847.80i | −0.349578 | + | 0.0616401i | ||||
\(966\) | 23366.0 | + | 33368.5i | 0.778251 | + | 1.11140i | ||||
\(967\) | 4938.36 | + | 13568.0i | 0.164226 | + | 0.451208i | 0.994322 | − | 0.106413i | \(-0.0339365\pi\) |
−0.830096 | + | 0.557621i | \(0.811714\pi\) | |||||||
\(968\) | 3951.33 | − | 12482.0i | 0.131199 | − | 0.414449i | ||||
\(969\) | 22788.9 | − | 35803.4i | 0.755504 | − | 1.18697i | ||||
\(970\) | −4976.69 | + | 12001.8i | −0.164734 | + | 0.397272i | ||||
\(971\) | 35741.2 | 1.18125 | 0.590623 | − | 0.806948i | \(-0.298882\pi\) | ||||
0.590623 | + | 0.806948i | \(0.298882\pi\) | |||||||
\(972\) | −13958.8 | + | 26897.6i | −0.460627 | + | 0.887594i | ||||
\(973\) | −57343.0 | −1.88934 | ||||||||
\(974\) | 6503.57 | − | 15684.0i | 0.213950 | − | 0.515963i | ||||
\(975\) | −21021.9 | + | 33027.3i | −0.690502 | + | 1.08484i | ||||
\(976\) | 23763.3 | − | 4152.59i | 0.779349 | − | 0.136190i | ||||
\(977\) | 7773.55 | + | 21357.7i | 0.254553 | + | 0.699377i | 0.999480 | + | 0.0322324i | \(0.0102617\pi\) |
−0.744928 | + | 0.667145i | \(0.767516\pi\) | |||||||
\(978\) | −13696.9 | − | 19560.3i | −0.447832 | − | 0.639538i | ||||
\(979\) | −26064.1 | + | 4595.81i | −0.850882 | + | 0.150034i | ||||
\(980\) | 1066.80 | − | 12087.0i | 0.0347732 | − | 0.393984i | ||||
\(981\) | −1904.65 | − | 4075.90i | −0.0619887 | − | 0.132654i | ||||
\(982\) | 19175.6 | + | 844.582i | 0.623135 | + | 0.0274457i | ||||
\(983\) | −37359.0 | − | 13597.6i | −1.21217 | − | 0.441195i | −0.344717 | − | 0.938707i | \(-0.612025\pi\) |
−0.867458 | + | 0.497511i | \(0.834247\pi\) | |||||||
\(984\) | −23205.7 | + | 19442.5i | −0.751798 | + | 0.629883i | ||||
\(985\) | −9170.28 | − | 7694.78i | −0.296639 | − | 0.248910i | ||||
\(986\) | 3046.30 | − | 13716.1i | 0.0983913 | − | 0.443012i | ||||
\(987\) | 36481.5 | + | 8072.22i | 1.17651 | + | 0.260326i | ||||
\(988\) | 38669.1 | + | 55315.3i | 1.24517 | + | 1.78119i | ||||
\(989\) | 21674.4 | + | 12513.7i | 0.696872 | + | 0.402339i | ||||
\(990\) | 10180.3 | − | 448.858i | 0.326819 | − | 0.0144097i | ||||
\(991\) | 22606.7 | − | 13052.0i | 0.724647 | − | 0.418375i | −0.0918135 | − | 0.995776i | \(-0.529266\pi\) |
0.816461 | + | 0.577401i | \(0.195933\pi\) | |||||||
\(992\) | 3108.66 | − | 4859.06i | 0.0994959 | − | 0.155519i | ||||
\(993\) | −8328.11 | + | 20128.9i | −0.266148 | + | 0.643276i | ||||
\(994\) | 17441.1 | − | 19019.0i | 0.556537 | − | 0.606886i | ||||
\(995\) | 41.8387 | − | 237.279i | 0.00133304 | − | 0.00756005i | ||||
\(996\) | 5159.54 | − | 6719.04i | 0.164143 | − | 0.213756i | ||||
\(997\) | −18416.5 | + | 15453.3i | −0.585013 | + | 0.490884i | −0.886589 | − | 0.462558i | \(-0.846932\pi\) |
0.301576 | + | 0.953442i | \(0.402487\pi\) | |||||||
\(998\) | −15313.7 | + | 7964.37i | −0.485719 | + | 0.252613i | ||||
\(999\) | 30516.0 | − | 39869.7i | 0.966451 | − | 1.26269i |
(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.59.8 | yes | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.59.22 | yes | 312 | |
27.11 | odd | 18 | inner | 108.4.l.a.11.22 | yes | 312 | |
108.11 | even | 18 | inner | 108.4.l.a.11.8 | ✓ | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.8 | ✓ | 312 | 108.11 | even | 18 | inner | |
108.4.l.a.11.22 | yes | 312 | 27.11 | odd | 18 | inner | |
108.4.l.a.59.8 | yes | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.59.22 | yes | 312 | 4.3 | odd | 2 | inner |