Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,4,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), 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: | \(2.24207258022\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} - 135 x^{10} + 730 x^{9} + 7953 x^{8} - 36258 x^{7} - 262940 x^{6} + 918855 x^{5} + \cdots + 272110107 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Root | \(-5.28151 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.25 |
Dual form | 38.4.e.a.35.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.53209 | − | 1.28558i | 0.541675 | − | 0.454519i | ||||
\(3\) | −6.18284 | − | 2.25037i | −1.18989 | − | 0.433084i | −0.330204 | − | 0.943910i | \(-0.607117\pi\) |
−0.859684 | + | 0.510826i | \(0.829340\pi\) | |||||||
\(4\) | 0.694593 | − | 3.93923i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −1.97089 | − | 11.1775i | −0.176281 | − | 0.999742i | −0.936654 | − | 0.350255i | \(-0.886095\pi\) |
0.760373 | − | 0.649487i | \(-0.225016\pi\) | |||||||
\(6\) | −12.3657 | + | 4.50074i | −0.841378 | + | 0.306236i | ||||
\(7\) | 4.35993 | − | 7.55162i | 0.235414 | − | 0.407749i | −0.723979 | − | 0.689822i | \(-0.757689\pi\) |
0.959393 | + | 0.282073i | \(0.0910221\pi\) | |||||||
\(8\) | −4.00000 | − | 6.92820i | −0.176777 | − | 0.306186i | ||||
\(9\) | 12.4801 | + | 10.4721i | 0.462227 | + | 0.387855i | ||||
\(10\) | −17.3890 | − | 14.5911i | −0.549890 | − | 0.461412i | ||||
\(11\) | 25.8541 | + | 44.7806i | 0.708663 | + | 1.22744i | 0.965353 | + | 0.260947i | \(0.0840349\pi\) |
−0.256690 | + | 0.966494i | \(0.582632\pi\) | |||||||
\(12\) | −13.1593 | + | 22.7925i | −0.316563 | + | 0.548303i | ||||
\(13\) | 26.0508 | − | 9.48171i | 0.555784 | − | 0.202289i | −0.0488306 | − | 0.998807i | \(-0.515549\pi\) |
0.604614 | + | 0.796518i | \(0.293327\pi\) | |||||||
\(14\) | −3.02837 | − | 17.1748i | −0.0578119 | − | 0.327868i | ||||
\(15\) | −12.9677 | + | 73.5436i | −0.223217 | + | 1.26593i | ||||
\(16\) | −15.0351 | − | 5.47232i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 89.9509 | − | 75.4778i | 1.28331 | − | 1.07683i | 0.290533 | − | 0.956865i | \(-0.406167\pi\) |
0.992779 | − | 0.119961i | \(-0.0382770\pi\) | |||||||
\(18\) | 32.5833 | 0.426665 | ||||||||
\(19\) | −66.4025 | − | 49.4945i | −0.801778 | − | 0.597622i | ||||
\(20\) | −45.3995 | −0.507582 | ||||||||
\(21\) | −43.9507 | + | 36.8790i | −0.456706 | + | 0.383222i | ||||
\(22\) | 97.1796 | + | 35.3705i | 0.941761 | + | 0.342773i | ||||
\(23\) | −17.2918 | + | 98.0667i | −0.156765 | + | 0.889057i | 0.800390 | + | 0.599480i | \(0.204626\pi\) |
−0.957155 | + | 0.289577i | \(0.906485\pi\) | |||||||
\(24\) | 9.14034 | + | 51.8374i | 0.0777402 | + | 0.440886i | ||||
\(25\) | −3.58954 | + | 1.30648i | −0.0287163 | + | 0.0104519i | ||||
\(26\) | 27.7227 | − | 48.0171i | 0.209110 | − | 0.362189i | ||||
\(27\) | 35.2285 | + | 61.0176i | 0.251101 | + | 0.434920i | ||||
\(28\) | −26.7192 | − | 22.4201i | −0.180338 | − | 0.151321i | ||||
\(29\) | −106.910 | − | 89.7079i | −0.684573 | − | 0.574425i | 0.232765 | − | 0.972533i | \(-0.425223\pi\) |
−0.917339 | + | 0.398108i | \(0.869667\pi\) | |||||||
\(30\) | 74.6782 | + | 129.346i | 0.454477 | + | 0.787177i | ||||
\(31\) | 1.55152 | − | 2.68730i | 0.00898905 | − | 0.0155695i | −0.861496 | − | 0.507765i | \(-0.830472\pi\) |
0.870485 | + | 0.492195i | \(0.163805\pi\) | |||||||
\(32\) | −30.0702 | + | 10.9446i | −0.166116 | + | 0.0604612i | ||||
\(33\) | −59.0788 | − | 335.052i | −0.311645 | − | 1.76743i | ||||
\(34\) | 40.7804 | − | 231.277i | 0.205700 | − | 1.16658i | ||||
\(35\) | −93.0008 | − | 33.8495i | −0.449143 | − | 0.163475i | ||||
\(36\) | 49.9205 | − | 41.8883i | 0.231114 | − | 0.193927i | ||||
\(37\) | −91.5180 | −0.406634 | −0.203317 | − | 0.979113i | \(-0.565172\pi\) | ||||
−0.203317 | + | 0.979113i | \(0.565172\pi\) | |||||||
\(38\) | −165.363 | + | 9.53550i | −0.705934 | + | 0.0407069i | ||||
\(39\) | −182.405 | −0.748929 | ||||||||
\(40\) | −69.5561 | + | 58.3645i | −0.274945 | + | 0.230706i | ||||
\(41\) | 234.973 | + | 85.5233i | 0.895041 | + | 0.325768i | 0.748264 | − | 0.663401i | \(-0.230888\pi\) |
0.146777 | + | 0.989170i | \(0.453110\pi\) | |||||||
\(42\) | −19.9256 | + | 113.004i | −0.0732045 | + | 0.415163i | ||||
\(43\) | −71.8763 | − | 407.631i | −0.254908 | − | 1.44565i | −0.796309 | − | 0.604890i | \(-0.793217\pi\) |
0.541401 | − | 0.840764i | \(-0.317894\pi\) | |||||||
\(44\) | 194.359 | − | 70.7409i | 0.665926 | − | 0.242377i | ||||
\(45\) | 92.4542 | − | 160.135i | 0.306273 | − | 0.530480i | ||||
\(46\) | 99.5795 | + | 172.477i | 0.319178 | + | 0.552833i | ||||
\(47\) | 468.670 | + | 393.260i | 1.45452 | + | 1.22049i | 0.929197 | + | 0.369586i | \(0.120500\pi\) |
0.525324 | + | 0.850902i | \(0.323944\pi\) | |||||||
\(48\) | 80.6447 | + | 67.6690i | 0.242501 | + | 0.203483i | ||||
\(49\) | 133.482 | + | 231.198i | 0.389161 | + | 0.674046i | ||||
\(50\) | −3.81990 | + | 6.61627i | −0.0108043 | + | 0.0187136i | ||||
\(51\) | −726.005 | + | 264.244i | −1.99335 | + | 0.725521i | ||||
\(52\) | −19.2560 | − | 109.206i | −0.0513524 | − | 0.291234i | ||||
\(53\) | −105.673 | + | 599.300i | −0.273873 | + | 1.55321i | 0.468646 | + | 0.883386i | \(0.344742\pi\) |
−0.742519 | + | 0.669825i | \(0.766369\pi\) | |||||||
\(54\) | 132.416 | + | 48.1954i | 0.333695 | + | 0.121455i | ||||
\(55\) | 449.577 | − | 377.240i | 1.10220 | − | 0.924856i | ||||
\(56\) | −69.7588 | −0.166463 | ||||||||
\(57\) | 299.175 | + | 455.447i | 0.695206 | + | 1.05834i | ||||
\(58\) | −279.121 | −0.631904 | ||||||||
\(59\) | −438.389 | + | 367.852i | −0.967346 | + | 0.811700i | −0.982132 | − | 0.188191i | \(-0.939738\pi\) |
0.0147864 | + | 0.999891i | \(0.495293\pi\) | |||||||
\(60\) | 280.698 | + | 102.166i | 0.603966 | + | 0.219826i | ||||
\(61\) | 99.4456 | − | 563.984i | 0.208733 | − | 1.18378i | −0.682724 | − | 0.730677i | \(-0.739205\pi\) |
0.891457 | − | 0.453106i | \(-0.149684\pi\) | |||||||
\(62\) | −1.07767 | − | 6.11178i | −0.00220749 | − | 0.0125193i | ||||
\(63\) | 133.494 | − | 48.5877i | 0.266962 | − | 0.0971663i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −157.325 | − | 272.494i | −0.300211 | − | 0.519981i | ||||
\(66\) | −521.249 | − | 437.380i | −0.972141 | − | 0.815723i | ||||
\(67\) | 228.665 | + | 191.873i | 0.416954 | + | 0.349866i | 0.827003 | − | 0.562198i | \(-0.190044\pi\) |
−0.410049 | + | 0.912064i | \(0.634488\pi\) | |||||||
\(68\) | −234.845 | − | 406.764i | −0.418811 | − | 0.725402i | ||||
\(69\) | 327.599 | − | 567.418i | 0.571569 | − | 0.989986i | ||||
\(70\) | −186.002 | + | 67.6990i | −0.317592 | + | 0.115594i | ||||
\(71\) | 43.9429 | + | 249.213i | 0.0734516 | + | 0.416565i | 0.999256 | + | 0.0385622i | \(0.0122778\pi\) |
−0.925805 | + | 0.378002i | \(0.876611\pi\) | |||||||
\(72\) | 22.6321 | − | 128.353i | 0.0370448 | − | 0.210091i | ||||
\(73\) | 489.349 | + | 178.108i | 0.784575 | + | 0.285562i | 0.703079 | − | 0.711112i | \(-0.251808\pi\) |
0.0814958 | + | 0.996674i | \(0.474030\pi\) | |||||||
\(74\) | −140.214 | + | 117.653i | −0.220264 | + | 0.184823i | ||||
\(75\) | 25.1336 | 0.0386957 | ||||||||
\(76\) | −241.093 | + | 227.196i | −0.363885 | + | 0.342911i | ||||
\(77\) | 450.888 | 0.667317 | ||||||||
\(78\) | −279.461 | + | 234.496i | −0.405676 | + | 0.340403i | ||||
\(79\) | −212.771 | − | 77.4423i | −0.303020 | − | 0.110290i | 0.186035 | − | 0.982543i | \(-0.440436\pi\) |
−0.489055 | + | 0.872253i | \(0.662658\pi\) | |||||||
\(80\) | −31.5342 | + | 178.839i | −0.0440704 | + | 0.249936i | ||||
\(81\) | −156.884 | − | 889.731i | −0.215204 | − | 1.22048i | ||||
\(82\) | 469.947 | − | 171.047i | 0.632889 | − | 0.230353i | ||||
\(83\) | 190.469 | − | 329.902i | 0.251888 | − | 0.436283i | −0.712157 | − | 0.702020i | \(-0.752282\pi\) |
0.964046 | + | 0.265737i | \(0.0856151\pi\) | |||||||
\(84\) | 114.747 | + | 198.748i | 0.149047 | + | 0.258157i | ||||
\(85\) | −1020.93 | − | 856.664i | −1.30277 | − | 1.09316i | ||||
\(86\) | −634.161 | − | 532.124i | −0.795155 | − | 0.667215i | ||||
\(87\) | 459.129 | + | 795.235i | 0.565791 | + | 0.979979i | ||||
\(88\) | 206.833 | − | 358.245i | 0.250550 | − | 0.433966i | ||||
\(89\) | −949.189 | + | 345.477i | −1.13049 | + | 0.411466i | −0.838471 | − | 0.544946i | \(-0.816550\pi\) |
−0.292022 | + | 0.956412i | \(0.594328\pi\) | |||||||
\(90\) | −64.2180 | − | 364.199i | −0.0752131 | − | 0.426554i | ||||
\(91\) | 41.9773 | − | 238.065i | 0.0483562 | − | 0.274242i | ||||
\(92\) | 374.297 | + | 136.233i | 0.424164 | + | 0.154383i | ||||
\(93\) | −15.6402 | + | 13.1237i | −0.0174389 | + | 0.0146329i | ||||
\(94\) | 1223.61 | 1.34261 | ||||||||
\(95\) | −422.351 | + | 839.759i | −0.456129 | + | 0.906921i | ||||
\(96\) | 210.548 | 0.223844 | ||||||||
\(97\) | −180.131 | + | 151.148i | −0.188552 | + | 0.158214i | −0.732177 | − | 0.681114i | \(-0.761496\pi\) |
0.543625 | + | 0.839328i | \(0.317051\pi\) | |||||||
\(98\) | 501.728 | + | 182.614i | 0.517166 | + | 0.188233i | ||||
\(99\) | −146.283 | + | 829.614i | −0.148505 | + | 0.842215i | ||||
\(100\) | 2.65328 | + | 15.0475i | 0.00265328 | + | 0.0150475i | ||||
\(101\) | −883.874 | + | 321.704i | −0.870780 | + | 0.316938i | −0.738483 | − | 0.674272i | \(-0.764457\pi\) |
−0.132297 | + | 0.991210i | \(0.542235\pi\) | |||||||
\(102\) | −772.598 | + | 1338.18i | −0.749986 | + | 1.29901i | ||||
\(103\) | −886.196 | − | 1534.94i | −0.847762 | − | 1.46837i | −0.883201 | − | 0.468994i | \(-0.844617\pi\) |
0.0354397 | − | 0.999372i | \(-0.488717\pi\) | |||||||
\(104\) | −169.894 | − | 142.558i | −0.160188 | − | 0.134413i | ||||
\(105\) | 498.835 | + | 418.572i | 0.463631 | + | 0.389033i | ||||
\(106\) | 608.545 | + | 1054.03i | 0.557615 | + | 0.965817i | ||||
\(107\) | 262.587 | − | 454.814i | 0.237245 | − | 0.410921i | −0.722677 | − | 0.691185i | \(-0.757089\pi\) |
0.959923 | + | 0.280264i | \(0.0904221\pi\) | |||||||
\(108\) | 264.832 | − | 96.3909i | 0.235958 | − | 0.0858816i | ||||
\(109\) | 142.243 | + | 806.698i | 0.124994 | + | 0.708877i | 0.981311 | + | 0.192427i | \(0.0616358\pi\) |
−0.856317 | + | 0.516450i | \(0.827253\pi\) | |||||||
\(110\) | 203.822 | − | 1155.93i | 0.176670 | − | 1.00194i | ||||
\(111\) | 565.841 | + | 205.949i | 0.483849 | + | 0.176107i | ||||
\(112\) | −106.877 | + | 89.6802i | −0.0901688 | + | 0.0756606i | ||||
\(113\) | 1939.84 | 1.61491 | 0.807457 | − | 0.589927i | \(-0.200843\pi\) | ||||
0.807457 | + | 0.589927i | \(0.200843\pi\) | |||||||
\(114\) | 1043.87 | + | 313.172i | 0.857612 | + | 0.257292i | ||||
\(115\) | 1130.22 | 0.916463 | ||||||||
\(116\) | −427.639 | + | 358.831i | −0.342287 | + | 0.287213i | ||||
\(117\) | 424.411 | + | 154.473i | 0.335357 | + | 0.122060i | ||||
\(118\) | −198.750 | + | 1127.16i | −0.155054 | + | 0.879355i | ||||
\(119\) | −177.800 | − | 1008.35i | −0.136965 | − | 0.776769i | ||||
\(120\) | 561.396 | − | 204.331i | 0.427068 | − | 0.155440i | ||||
\(121\) | −671.367 | + | 1162.84i | −0.504408 | + | 0.873660i | ||||
\(122\) | −572.684 | − | 991.918i | −0.424987 | − | 0.736099i | ||||
\(123\) | −1260.34 | − | 1057.55i | −0.923913 | − | 0.775255i | ||||
\(124\) | −9.50824 | − | 7.97836i | −0.00688601 | − | 0.00577805i | ||||
\(125\) | −687.690 | − | 1191.11i | −0.492071 | − | 0.852292i | ||||
\(126\) | 142.061 | − | 246.057i | 0.100443 | − | 0.173972i | ||||
\(127\) | −631.477 | + | 229.839i | −0.441217 | + | 0.160590i | −0.553070 | − | 0.833135i | \(-0.686544\pi\) |
0.111853 | + | 0.993725i | \(0.464321\pi\) | |||||||
\(128\) | 22.2270 | + | 126.055i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | −472.920 | + | 2682.07i | −0.322778 | + | 1.83056i | ||||
\(130\) | −591.347 | − | 215.233i | −0.398958 | − | 0.145209i | ||||
\(131\) | 1410.22 | − | 1183.31i | 0.940545 | − | 0.789211i | −0.0371353 | − | 0.999310i | \(-0.511823\pi\) |
0.977680 | + | 0.210100i | \(0.0673788\pi\) | |||||||
\(132\) | −1360.88 | −0.897347 | ||||||||
\(133\) | −663.274 | + | 285.654i | −0.432429 | + | 0.186236i | ||||
\(134\) | 597.003 | 0.384875 | ||||||||
\(135\) | 612.590 | − | 514.024i | 0.390543 | − | 0.327705i | ||||
\(136\) | −882.729 | − | 321.287i | −0.556569 | − | 0.202574i | ||||
\(137\) | −163.611 | + | 927.887i | −0.102031 | + | 0.578647i | 0.890334 | + | 0.455309i | \(0.150471\pi\) |
−0.992365 | + | 0.123338i | \(0.960640\pi\) | |||||||
\(138\) | −227.548 | − | 1290.49i | −0.140363 | − | 0.796040i | ||||
\(139\) | −241.962 | + | 88.0668i | −0.147647 | + | 0.0537390i | −0.414786 | − | 0.909919i | \(-0.636144\pi\) |
0.267140 | + | 0.963658i | \(0.413922\pi\) | |||||||
\(140\) | −197.939 | + | 342.840i | −0.119492 | + | 0.206966i | ||||
\(141\) | −2012.73 | − | 3486.15i | −1.20214 | − | 2.08217i | ||||
\(142\) | 387.706 | + | 325.324i | 0.229124 | + | 0.192258i | ||||
\(143\) | 1098.12 | + | 921.429i | 0.642161 | + | 0.538837i | ||||
\(144\) | −130.333 | − | 225.744i | −0.0754243 | − | 0.130639i | ||||
\(145\) | −791.999 | + | 1371.78i | −0.453599 | + | 0.785657i | ||||
\(146\) | 978.698 | − | 356.217i | 0.554778 | − | 0.201923i | ||||
\(147\) | −305.018 | − | 1729.84i | −0.171139 | − | 0.970578i | ||||
\(148\) | −63.5678 | + | 360.511i | −0.0353057 | + | 0.200228i | ||||
\(149\) | 1766.77 | + | 643.053i | 0.971407 | + | 0.353563i | 0.778494 | − | 0.627652i | \(-0.215984\pi\) |
0.192914 | + | 0.981216i | \(0.438206\pi\) | |||||||
\(150\) | 38.5069 | − | 32.3111i | 0.0209605 | − | 0.0175879i | ||||
\(151\) | −1342.24 | −0.723375 | −0.361688 | − | 0.932299i | \(-0.617799\pi\) | ||||
−0.361688 | + | 0.932299i | \(0.617799\pi\) | |||||||
\(152\) | −77.2977 | + | 658.028i | −0.0412479 | + | 0.351139i | ||||
\(153\) | 1913.01 | 1.01083 | ||||||||
\(154\) | 690.800 | − | 579.650i | 0.361469 | − | 0.303309i | ||||
\(155\) | −33.0951 | − | 12.0456i | −0.0171501 | − | 0.00624212i | ||||
\(156\) | −126.697 | + | 718.536i | −0.0650250 | + | 0.368775i | ||||
\(157\) | 232.616 | + | 1319.23i | 0.118247 | + | 0.670613i | 0.985091 | + | 0.172033i | \(0.0550337\pi\) |
−0.866844 | + | 0.498579i | \(0.833855\pi\) | |||||||
\(158\) | −425.542 | + | 154.885i | −0.214268 | + | 0.0779871i | ||||
\(159\) | 2002.00 | − | 3467.57i | 0.998549 | − | 1.72954i | ||||
\(160\) | 181.598 | + | 314.537i | 0.0897287 | + | 0.155415i | ||||
\(161\) | 665.171 | + | 558.145i | 0.325608 | + | 0.273217i | ||||
\(162\) | −1384.18 | − | 1161.46i | −0.671303 | − | 0.563290i | ||||
\(163\) | 1164.30 | + | 2016.62i | 0.559476 | + | 0.969041i | 0.997540 | + | 0.0700975i | \(0.0223310\pi\) |
−0.438064 | + | 0.898944i | \(0.644336\pi\) | |||||||
\(164\) | 500.107 | − | 866.210i | 0.238121 | − | 0.412437i | ||||
\(165\) | −3628.59 | + | 1320.70i | −1.71203 | + | 0.623130i | ||||
\(166\) | −132.299 | − | 750.302i | −0.0618576 | − | 0.350812i | ||||
\(167\) | 479.587 | − | 2719.87i | 0.222225 | − | 1.26030i | −0.645695 | − | 0.763595i | \(-0.723432\pi\) |
0.867920 | − | 0.496704i | \(-0.165456\pi\) | |||||||
\(168\) | 431.308 | + | 156.983i | 0.198072 | + | 0.0720923i | ||||
\(169\) | −1094.26 | + | 918.192i | −0.498069 | + | 0.417930i | ||||
\(170\) | −2665.46 | −1.20254 | ||||||||
\(171\) | −310.403 | − | 1313.07i | −0.138813 | − | 0.587210i | ||||
\(172\) | −1655.68 | −0.733978 | ||||||||
\(173\) | −492.664 | + | 413.394i | −0.216512 | + | 0.181675i | −0.744593 | − | 0.667519i | \(-0.767356\pi\) |
0.528081 | + | 0.849194i | \(0.322912\pi\) | |||||||
\(174\) | 1725.76 | + | 628.126i | 0.751895 | + | 0.273667i | ||||
\(175\) | −5.78405 | + | 32.8030i | −0.00249847 | + | 0.0141696i | ||||
\(176\) | −143.664 | − | 814.762i | −0.0615291 | − | 0.348949i | ||||
\(177\) | 3538.29 | − | 1287.83i | 1.50257 | − | 0.546890i | ||||
\(178\) | −1010.11 | + | 1749.56i | −0.425341 | + | 0.736712i | ||||
\(179\) | 1064.68 | + | 1844.08i | 0.444569 | + | 0.770015i | 0.998022 | − | 0.0628648i | \(-0.0200237\pi\) |
−0.553454 | + | 0.832880i | \(0.686690\pi\) | |||||||
\(180\) | −566.592 | − | 475.428i | −0.234618 | − | 0.196868i | ||||
\(181\) | −802.809 | − | 673.636i | −0.329681 | − | 0.276635i | 0.462889 | − | 0.886416i | \(-0.346813\pi\) |
−0.792570 | + | 0.609781i | \(0.791257\pi\) | |||||||
\(182\) | −241.738 | − | 418.702i | −0.0984549 | − | 0.170529i | ||||
\(183\) | −1884.03 | + | 3263.23i | −0.761046 | + | 1.31817i | ||||
\(184\) | 748.593 | − | 272.466i | 0.299929 | − | 0.109165i | ||||
\(185\) | 180.372 | + | 1022.94i | 0.0716821 | + | 0.406530i | ||||
\(186\) | −7.09069 | + | 40.2133i | −0.00279524 | + | 0.0158526i | ||||
\(187\) | 5705.53 | + | 2076.64i | 2.23118 | + | 0.812082i | ||||
\(188\) | 1874.68 | − | 1573.04i | 0.727260 | − | 0.610244i | ||||
\(189\) | 614.375 | 0.236451 | ||||||||
\(190\) | 432.495 | + | 1829.55i | 0.165140 | + | 0.698576i | ||||
\(191\) | −2438.71 | −0.923869 | −0.461934 | − | 0.886914i | \(-0.652844\pi\) | ||||
−0.461934 | + | 0.886914i | \(0.652844\pi\) | |||||||
\(192\) | 322.579 | − | 270.676i | 0.121251 | − | 0.101741i | ||||
\(193\) | 790.073 | + | 287.563i | 0.294667 | + | 0.107250i | 0.485124 | − | 0.874446i | \(-0.338775\pi\) |
−0.190457 | + | 0.981696i | \(0.560997\pi\) | |||||||
\(194\) | −81.6647 | + | 463.143i | −0.0302226 | + | 0.171401i | ||||
\(195\) | 359.500 | + | 2038.83i | 0.132022 | + | 0.748735i | ||||
\(196\) | 1003.46 | − | 365.228i | 0.365691 | − | 0.133101i | ||||
\(197\) | −713.006 | + | 1234.96i | −0.257866 | + | 0.446637i | −0.965670 | − | 0.259772i | \(-0.916353\pi\) |
0.707804 | + | 0.706409i | \(0.249686\pi\) | |||||||
\(198\) | 842.412 | + | 1459.10i | 0.302362 | + | 0.523706i | ||||
\(199\) | 1889.19 | + | 1585.22i | 0.672972 | + | 0.564690i | 0.913943 | − | 0.405842i | \(-0.133022\pi\) |
−0.240972 | + | 0.970532i | \(0.577466\pi\) | |||||||
\(200\) | 23.4097 | + | 19.6431i | 0.00827659 | + | 0.00694488i | ||||
\(201\) | −982.016 | − | 1700.90i | −0.344607 | − | 0.596877i | ||||
\(202\) | −940.599 | + | 1629.17i | −0.327625 | + | 0.567464i | ||||
\(203\) | −1143.56 | + | 416.221i | −0.395379 | + | 0.143906i | ||||
\(204\) | 536.641 | + | 3043.44i | 0.184178 | + | 1.04453i | ||||
\(205\) | 492.827 | − | 2794.96i | 0.167905 | − | 0.952237i | ||||
\(206\) | −3331.01 | − | 1212.39i | −1.12661 | − | 0.410053i | ||||
\(207\) | −1242.77 | + | 1042.80i | −0.417286 | + | 0.350145i | ||||
\(208\) | −443.563 | −0.147863 | ||||||||
\(209\) | 499.615 | − | 4253.18i | 0.165355 | − | 1.40765i | ||||
\(210\) | 1302.37 | 0.427961 | ||||||||
\(211\) | −1644.43 | + | 1379.84i | −0.536527 | + | 0.450200i | −0.870348 | − | 0.492437i | \(-0.836106\pi\) |
0.333821 | + | 0.942636i | \(0.391662\pi\) | |||||||
\(212\) | 2287.38 | + | 832.539i | 0.741029 | + | 0.269712i | ||||
\(213\) | 289.128 | − | 1639.73i | 0.0930082 | − | 0.527476i | ||||
\(214\) | −182.391 | − | 1034.39i | −0.0582617 | − | 0.330418i | ||||
\(215\) | −4414.62 | + | 1606.79i | −1.40035 | + | 0.509684i | ||||
\(216\) | 281.828 | − | 488.141i | 0.0887777 | − | 0.153767i | ||||
\(217\) | −13.5290 | − | 23.4329i | −0.00423229 | − | 0.00733055i | ||||
\(218\) | 1255.00 | + | 1053.07i | 0.389905 | + | 0.327169i | ||||
\(219\) | −2624.76 | − | 2202.43i | −0.809884 | − | 0.679573i | ||||
\(220\) | −1173.76 | − | 2033.02i | −0.359705 | − | 0.623027i | ||||
\(221\) | 1627.63 | − | 2819.14i | 0.495414 | − | 0.858082i | ||||
\(222\) | 1131.68 | − | 411.899i | 0.342133 | − | 0.124526i | ||||
\(223\) | −541.258 | − | 3069.63i | −0.162535 | − | 0.921782i | −0.951570 | − | 0.307433i | \(-0.900530\pi\) |
0.789035 | − | 0.614349i | \(-0.210581\pi\) | |||||||
\(224\) | −48.4540 | + | 274.796i | −0.0144530 | + | 0.0819669i | ||||
\(225\) | −58.4795 | − | 21.2848i | −0.0173273 | − | 0.00630661i | ||||
\(226\) | 2972.01 | − | 2493.82i | 0.874759 | − | 0.734010i | ||||
\(227\) | −2700.49 | −0.789595 | −0.394798 | − | 0.918768i | \(-0.629185\pi\) | ||||
−0.394798 | + | 0.918768i | \(0.629185\pi\) | |||||||
\(228\) | 2001.91 | − | 862.171i | 0.581491 | − | 0.250433i | ||||
\(229\) | −6126.53 | −1.76791 | −0.883957 | − | 0.467568i | \(-0.845130\pi\) | ||||
−0.883957 | + | 0.467568i | \(0.845130\pi\) | |||||||
\(230\) | 1731.59 | − | 1452.98i | 0.496425 | − | 0.416550i | ||||
\(231\) | −2787.77 | − | 1014.66i | −0.794033 | − | 0.289004i | ||||
\(232\) | −193.876 | + | 1099.52i | −0.0548645 | + | 0.311152i | ||||
\(233\) | −46.1861 | − | 261.934i | −0.0129861 | − | 0.0736476i | 0.977626 | − | 0.210351i | \(-0.0674605\pi\) |
−0.990612 | + | 0.136703i | \(0.956349\pi\) | |||||||
\(234\) | 848.821 | − | 308.946i | 0.237133 | − | 0.0863095i | ||||
\(235\) | 3471.96 | − | 6013.60i | 0.963768 | − | 1.66929i | ||||
\(236\) | 1144.55 | + | 1982.42i | 0.315695 | + | 0.546800i | ||||
\(237\) | 1141.26 | + | 957.627i | 0.312795 | + | 0.262466i | ||||
\(238\) | −1568.72 | − | 1316.31i | −0.427247 | − | 0.358503i | ||||
\(239\) | −883.976 | − | 1531.09i | −0.239245 | − | 0.414385i | 0.721253 | − | 0.692672i | \(-0.243567\pi\) |
−0.960498 | + | 0.278287i | \(0.910233\pi\) | |||||||
\(240\) | 597.425 | − | 1034.77i | 0.160682 | − | 0.278309i | ||||
\(241\) | 4686.94 | − | 1705.91i | 1.25275 | − | 0.455963i | 0.371419 | − | 0.928465i | \(-0.378871\pi\) |
0.881329 | + | 0.472502i | \(0.156649\pi\) | |||||||
\(242\) | 466.327 | + | 2644.67i | 0.123870 | + | 0.702503i | ||||
\(243\) | −701.900 | + | 3980.67i | −0.185296 | + | 1.05086i | ||||
\(244\) | −2152.59 | − | 783.478i | −0.564776 | − | 0.205562i | ||||
\(245\) | 2321.12 | − | 1947.65i | 0.605270 | − | 0.507882i | ||||
\(246\) | −3290.52 | −0.852829 | ||||||||
\(247\) | −2199.13 | − | 659.761i | −0.566508 | − | 0.169958i | ||||
\(248\) | −24.8243 | −0.00635622 | ||||||||
\(249\) | −1920.04 | + | 1611.11i | −0.488666 | + | 0.410039i | ||||
\(250\) | −2584.87 | − | 940.815i | −0.653926 | − | 0.238010i | ||||
\(251\) | −207.498 | + | 1176.78i | −0.0521798 | + | 0.295926i | −0.999719 | − | 0.0237138i | \(-0.992451\pi\) |
0.947539 | + | 0.319640i | \(0.103562\pi\) | |||||||
\(252\) | −98.6745 | − | 559.611i | −0.0246663 | − | 0.139890i | ||||
\(253\) | −4838.55 | + | 1761.09i | −1.20236 | + | 0.437623i | ||||
\(254\) | −672.004 | + | 1163.94i | −0.166005 | + | 0.287529i | ||||
\(255\) | 4384.45 | + | 7594.09i | 1.07673 | + | 1.86494i | ||||
\(256\) | 196.107 | + | 164.554i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 5463.11 | + | 4584.09i | 1.32599 | + | 1.11264i | 0.984997 | + | 0.172572i | \(0.0552078\pi\) |
0.340993 | + | 0.940066i | \(0.389237\pi\) | |||||||
\(258\) | 2723.44 | + | 4717.14i | 0.657186 | + | 1.13828i | ||||
\(259\) | −399.012 | + | 691.109i | −0.0957274 | + | 0.165805i | ||||
\(260\) | −1182.69 | + | 430.465i | −0.282106 | + | 0.102678i | ||||
\(261\) | −394.819 | − | 2239.13i | −0.0936349 | − | 0.531030i | ||||
\(262\) | 639.341 | − | 3625.88i | 0.150758 | − | 0.854992i | ||||
\(263\) | −1349.95 | − | 491.341i | −0.316507 | − | 0.115199i | 0.178881 | − | 0.983871i | \(-0.442752\pi\) |
−0.495389 | + | 0.868671i | \(0.664974\pi\) | |||||||
\(264\) | −2085.00 | + | 1749.52i | −0.486070 | + | 0.407862i | ||||
\(265\) | 6906.92 | 1.60109 | ||||||||
\(266\) | −648.964 | + | 1290.34i | −0.149589 | + | 0.297427i | ||||
\(267\) | 6646.14 | 1.52336 | ||||||||
\(268\) | 914.661 | − | 767.492i | 0.208477 | − | 0.174933i | ||||
\(269\) | −1129.16 | − | 410.979i | −0.255933 | − | 0.0931518i | 0.210868 | − | 0.977515i | \(-0.432371\pi\) |
−0.466800 | + | 0.884363i | \(0.654593\pi\) | |||||||
\(270\) | 277.726 | − | 1575.06i | 0.0625994 | − | 0.355019i | ||||
\(271\) | 145.076 | + | 822.766i | 0.0325193 | + | 0.184426i | 0.996741 | − | 0.0806723i | \(-0.0257067\pi\) |
−0.964221 | + | 0.265098i | \(0.914596\pi\) | |||||||
\(272\) | −1765.46 | + | 642.574i | −0.393554 | + | 0.143242i | ||||
\(273\) | −795.274 | + | 1377.45i | −0.176308 | + | 0.305375i | ||||
\(274\) | 942.201 | + | 1631.94i | 0.207739 | + | 0.359814i | ||||
\(275\) | −151.309 | − | 126.964i | −0.0331792 | − | 0.0278407i | ||||
\(276\) | −2007.64 | − | 1684.61i | −0.437847 | − | 0.367397i | ||||
\(277\) | 285.665 | + | 494.786i | 0.0619636 | + | 0.107324i | 0.895343 | − | 0.445377i | \(-0.146930\pi\) |
−0.833379 | + | 0.552701i | \(0.813597\pi\) | |||||||
\(278\) | −257.490 | + | 445.986i | −0.0555512 | + | 0.0962175i | ||||
\(279\) | 47.5048 | − | 17.2903i | 0.0101937 | − | 0.00371020i | ||||
\(280\) | 137.487 | + | 779.726i | 0.0293443 | + | 0.166420i | ||||
\(281\) | −1149.07 | + | 6516.67i | −0.243941 | + | 1.38346i | 0.578997 | + | 0.815329i | \(0.303444\pi\) |
−0.822939 | + | 0.568130i | \(0.807667\pi\) | |||||||
\(282\) | −7565.38 | − | 2753.57i | −1.59756 | − | 0.581464i | ||||
\(283\) | −5424.27 | + | 4551.50i | −1.13936 | + | 0.956038i | −0.999418 | − | 0.0341219i | \(-0.989137\pi\) |
−0.139944 | + | 0.990159i | \(0.544692\pi\) | |||||||
\(284\) | 1012.23 | 0.211495 | ||||||||
\(285\) | 4501.09 | − | 4241.65i | 0.935515 | − | 0.881592i | ||||
\(286\) | 2866.98 | 0.592755 | ||||||||
\(287\) | 1670.31 | − | 1401.55i | 0.343537 | − | 0.288262i | ||||
\(288\) | −489.893 | − | 178.306i | −0.100233 | − | 0.0364820i | ||||
\(289\) | 1541.14 | − | 8740.22i | 0.313685 | − | 1.77900i | ||||
\(290\) | 550.117 | + | 3119.87i | 0.111393 | + | 0.631741i | ||||
\(291\) | 1453.86 | − | 529.161i | 0.292875 | − | 0.106598i | ||||
\(292\) | 1041.51 | − | 1803.95i | 0.208732 | − | 0.361534i | ||||
\(293\) | −3317.15 | − | 5745.48i | −0.661400 | − | 1.14558i | −0.980248 | − | 0.197773i | \(-0.936629\pi\) |
0.318848 | − | 0.947806i | \(-0.396704\pi\) | |||||||
\(294\) | −2691.16 | − | 2258.15i | −0.533848 | − | 0.447952i | ||||
\(295\) | 4975.67 | + | 4175.08i | 0.982016 | + | 0.824009i | ||||
\(296\) | 366.072 | + | 634.056i | 0.0718835 | + | 0.124506i | ||||
\(297\) | −1821.60 | + | 3155.11i | −0.355892 | + | 0.616424i | ||||
\(298\) | 3533.55 | − | 1286.11i | 0.686889 | − | 0.250007i | ||||
\(299\) | 479.375 | + | 2718.67i | 0.0927190 | + | 0.525835i | ||||
\(300\) | 17.4576 | − | 99.0070i | 0.00335972 | − | 0.0190539i | ||||
\(301\) | −3391.65 | − | 1234.46i | −0.649473 | − | 0.236389i | ||||
\(302\) | −2056.43 | + | 1725.55i | −0.391834 | + | 0.328788i | ||||
\(303\) | 6188.80 | 1.17339 | ||||||||
\(304\) | 727.518 | + | 1107.53i | 0.137257 | + | 0.208951i | ||||
\(305\) | −6499.90 | −1.22027 | ||||||||
\(306\) | 2930.90 | − | 2459.32i | 0.547543 | − | 0.459444i | ||||
\(307\) | −3671.67 | − | 1336.38i | −0.682584 | − | 0.248440i | −0.0226273 | − | 0.999744i | \(-0.507203\pi\) |
−0.659957 | + | 0.751304i | \(0.729425\pi\) | |||||||
\(308\) | 313.183 | − | 1776.15i | 0.0579392 | − | 0.328590i | ||||
\(309\) | 2025.03 | + | 11484.5i | 0.372816 | + | 2.11434i | ||||
\(310\) | −66.1902 | + | 24.0913i | −0.0121269 | + | 0.00441384i | ||||
\(311\) | −1366.86 | + | 2367.47i | −0.249220 | + | 0.431662i | −0.963310 | − | 0.268393i | \(-0.913508\pi\) |
0.714090 | + | 0.700054i | \(0.246841\pi\) | |||||||
\(312\) | 729.621 | + | 1263.74i | 0.132393 | + | 0.229312i | ||||
\(313\) | 1134.35 | + | 951.836i | 0.204848 | + | 0.171888i | 0.739440 | − | 0.673222i | \(-0.235090\pi\) |
−0.534592 | + | 0.845110i | \(0.679535\pi\) | |||||||
\(314\) | 2052.36 | + | 1722.14i | 0.368858 | + | 0.309509i | ||||
\(315\) | −806.188 | − | 1396.36i | −0.144202 | − | 0.249765i | ||||
\(316\) | −452.852 | + | 784.363i | −0.0806169 | + | 0.139633i | ||||
\(317\) | 9902.20 | − | 3604.10i | 1.75446 | − | 0.638570i | 0.754611 | − | 0.656172i | \(-0.227825\pi\) |
0.999845 | + | 0.0176020i | \(0.00560317\pi\) | |||||||
\(318\) | −1390.58 | − | 7886.36i | −0.245219 | − | 1.39071i | ||||
\(319\) | 1253.12 | − | 7106.79i | 0.219941 | − | 1.24735i | ||||
\(320\) | 682.586 | + | 248.441i | 0.119243 | + | 0.0434008i | ||||
\(321\) | −2647.03 | + | 2221.13i | −0.460259 | + | 0.386203i | ||||
\(322\) | 1736.64 | 0.300556 | ||||||||
\(323\) | −9708.70 | + | 559.841i | −1.67247 | + | 0.0964409i | ||||
\(324\) | −3613.83 | −0.619655 | ||||||||
\(325\) | −81.1226 | + | 68.0699i | −0.0138458 | + | 0.0116180i | ||||
\(326\) | 4376.32 | + | 1592.85i | 0.743503 | + | 0.270613i | ||||
\(327\) | 935.905 | − | 5307.78i | 0.158274 | − | 0.897618i | ||||
\(328\) | −347.371 | − | 1970.04i | −0.0584766 | − | 0.331637i | ||||
\(329\) | 5013.12 | − | 1824.63i | 0.840067 | − | 0.305759i | ||||
\(330\) | −3861.47 | + | 6688.26i | −0.644142 | + | 1.11569i | ||||
\(331\) | 916.896 | + | 1588.11i | 0.152257 | + | 0.263717i | 0.932057 | − | 0.362312i | \(-0.118012\pi\) |
−0.779800 | + | 0.626029i | \(0.784679\pi\) | |||||||
\(332\) | −1167.26 | − | 979.450i | −0.192958 | − | 0.161911i | ||||
\(333\) | −1142.16 | − | 958.384i | −0.187957 | − | 0.157715i | ||||
\(334\) | −2761.83 | − | 4783.63i | −0.452457 | − | 0.783678i | ||||
\(335\) | 1693.98 | − | 2934.06i | 0.276274 | − | 0.478521i | ||||
\(336\) | 862.615 | − | 313.966i | 0.140058 | − | 0.0509770i | ||||
\(337\) | −251.737 | − | 1427.67i | −0.0406914 | − | 0.230772i | 0.957679 | − | 0.287838i | \(-0.0929366\pi\) |
−0.998370 | + | 0.0570659i | \(0.981825\pi\) | |||||||
\(338\) | −496.097 | + | 2813.50i | −0.0798346 | + | 0.452765i | ||||
\(339\) | −11993.7 | − | 4365.37i | −1.92157 | − | 0.699393i | ||||
\(340\) | −4083.73 | + | 3426.66i | −0.651386 | + | 0.546578i | ||||
\(341\) | 160.452 | 0.0254808 | ||||||||
\(342\) | −2163.61 | − | 1612.69i | −0.342090 | − | 0.254984i | ||||
\(343\) | 5318.80 | 0.837283 | ||||||||
\(344\) | −2536.65 | + | 2128.50i | −0.397578 | + | 0.333607i | ||||
\(345\) | −6987.94 | − | 2543.40i | −1.09049 | − | 0.396905i | ||||
\(346\) | −223.356 | + | 1266.71i | −0.0347043 | + | 0.196818i | ||||
\(347\) | −542.420 | − | 3076.21i | −0.0839153 | − | 0.475907i | −0.997585 | − | 0.0694507i | \(-0.977875\pi\) |
0.913670 | − | 0.406457i | \(-0.133236\pi\) | |||||||
\(348\) | 3451.52 | − | 1256.25i | 0.531670 | − | 0.193512i | ||||
\(349\) | −266.769 | + | 462.057i | −0.0409164 | + | 0.0708692i | −0.885758 | − | 0.464147i | \(-0.846361\pi\) |
0.844842 | + | 0.535016i | \(0.179694\pi\) | |||||||
\(350\) | 33.3090 | + | 57.6929i | 0.00508698 | + | 0.00881090i | ||||
\(351\) | 1496.28 | + | 1255.53i | 0.227537 | + | 0.190927i | ||||
\(352\) | −1267.54 | − | 1063.60i | −0.191933 | − | 0.161051i | ||||
\(353\) | −3747.21 | − | 6490.36i | −0.564997 | − | 0.978603i | −0.997050 | − | 0.0767549i | \(-0.975544\pi\) |
0.432053 | − | 0.901848i | \(-0.357789\pi\) | |||||||
\(354\) | 3765.37 | − | 6521.82i | 0.565331 | − | 0.979183i | ||||
\(355\) | 2698.96 | − | 982.340i | 0.403509 | − | 0.146865i | ||||
\(356\) | 701.612 | + | 3979.04i | 0.104453 | + | 0.592384i | ||||
\(357\) | −1169.86 | + | 6634.59i | −0.173433 | + | 0.983585i | ||||
\(358\) | 4001.88 | + | 1456.57i | 0.590799 | + | 0.215033i | ||||
\(359\) | −6647.50 | + | 5577.92i | −0.977275 | + | 0.820031i | −0.983676 | − | 0.179948i | \(-0.942407\pi\) |
0.00640098 | + | 0.999980i | \(0.497962\pi\) | |||||||
\(360\) | −1479.27 | −0.216567 | ||||||||
\(361\) | 1959.59 | + | 6573.12i | 0.285696 | + | 0.958320i | ||||
\(362\) | −2095.98 | −0.304316 | ||||||||
\(363\) | 6767.78 | − | 5678.84i | 0.978557 | − | 0.821107i | ||||
\(364\) | −908.637 | − | 330.717i | −0.130839 | − | 0.0476216i | ||||
\(365\) | 1026.35 | − | 5820.71i | 0.147182 | − | 0.834712i | ||||
\(366\) | 1308.63 | + | 7421.62i | 0.186894 | + | 1.05993i | ||||
\(367\) | −2788.63 | + | 1014.98i | −0.396636 | + | 0.144364i | −0.532635 | − | 0.846345i | \(-0.678798\pi\) |
0.135999 | + | 0.990709i | \(0.456576\pi\) | |||||||
\(368\) | 796.636 | − | 1379.81i | 0.112847 | − | 0.195456i | ||||
\(369\) | 2036.89 | + | 3528.00i | 0.287361 | + | 0.497725i | ||||
\(370\) | 1591.41 | + | 1335.35i | 0.223604 | + | 0.187626i | ||||
\(371\) | 4064.96 | + | 3410.91i | 0.568847 | + | 0.477319i | ||||
\(372\) | 40.8337 | + | 70.7260i | 0.00569120 | + | 0.00985745i | ||||
\(373\) | 2740.66 | − | 4746.96i | 0.380445 | − | 0.658950i | −0.610681 | − | 0.791877i | \(-0.709104\pi\) |
0.991126 | + | 0.132927i | \(0.0424374\pi\) | |||||||
\(374\) | 11411.1 | − | 4153.29i | 1.57768 | − | 0.574229i | ||||
\(375\) | 1571.43 | + | 8912.02i | 0.216395 | + | 1.22724i | ||||
\(376\) | 849.910 | − | 4820.08i | 0.116571 | − | 0.661108i | ||||
\(377\) | −3635.67 | − | 1323.27i | −0.496675 | − | 0.180775i | ||||
\(378\) | 941.277 | − | 789.825i | 0.128080 | − | 0.107472i | ||||
\(379\) | −9315.11 | −1.26249 | −0.631246 | − | 0.775582i | \(-0.717456\pi\) | ||||
−0.631246 | + | 0.775582i | \(0.717456\pi\) | |||||||
\(380\) | 3014.64 | + | 2247.03i | 0.406968 | + | 0.303342i | ||||
\(381\) | 4421.54 | 0.594547 | ||||||||
\(382\) | −3736.32 | + | 3135.15i | −0.500437 | + | 0.419916i | ||||
\(383\) | −3079.03 | − | 1120.67i | −0.410786 | − | 0.149514i | 0.128357 | − | 0.991728i | \(-0.459030\pi\) |
−0.539143 | + | 0.842214i | \(0.681252\pi\) | |||||||
\(384\) | 146.245 | − | 829.399i | 0.0194350 | − | 0.110222i | ||||
\(385\) | −888.649 | − | 5039.78i | −0.117636 | − | 0.667145i | ||||
\(386\) | 1580.15 | − | 575.126i | 0.208361 | − | 0.0758372i | ||||
\(387\) | 3371.72 | − | 5839.98i | 0.442879 | − | 0.767088i | ||||
\(388\) | 470.288 | + | 814.563i | 0.0615342 | + | 0.106580i | ||||
\(389\) | 6367.04 | + | 5342.58i | 0.829875 | + | 0.696348i | 0.955262 | − | 0.295760i | \(-0.0955728\pi\) |
−0.125387 | + | 0.992108i | \(0.540017\pi\) | |||||||
\(390\) | 3171.85 | + | 2661.50i | 0.411828 | + | 0.345565i | ||||
\(391\) | 5846.44 | + | 10126.3i | 0.756182 | + | 1.30975i | ||||
\(392\) | 1067.86 | − | 1849.58i | 0.137589 | − | 0.238311i | ||||
\(393\) | −11382.0 | + | 4142.73i | −1.46094 | + | 0.531738i | ||||
\(394\) | 495.249 | + | 2808.70i | 0.0633256 | + | 0.359137i | ||||
\(395\) | −446.261 | + | 2530.87i | −0.0568451 | + | 0.322384i | ||||
\(396\) | 3166.43 | + | 1152.49i | 0.401816 | + | 0.146249i | ||||
\(397\) | −5236.67 | + | 4394.09i | −0.662018 | + | 0.555499i | −0.910691 | − | 0.413089i | \(-0.864450\pi\) |
0.248673 | + | 0.968587i | \(0.420006\pi\) | |||||||
\(398\) | 4932.33 | 0.621195 | ||||||||
\(399\) | 4743.74 | − | 273.542i | 0.595198 | − | 0.0343214i | ||||
\(400\) | 61.1185 | 0.00763981 | ||||||||
\(401\) | 5610.38 | − | 4707.67i | 0.698675 | − | 0.586258i | −0.222721 | − | 0.974882i | \(-0.571494\pi\) |
0.921396 | + | 0.388624i | \(0.127049\pi\) | |||||||
\(402\) | −3691.17 | − | 1343.48i | −0.457958 | − | 0.166683i | ||||
\(403\) | 14.9380 | − | 84.7174i | 0.00184644 | − | 0.0104717i | ||||
\(404\) | 653.333 | + | 3705.24i | 0.0804568 | + | 0.456293i | ||||
\(405\) | −9635.73 | + | 3507.12i | −1.18223 | + | 0.430297i | ||||
\(406\) | −1216.95 | + | 2107.82i | −0.148759 | + | 0.257658i | ||||
\(407\) | −2366.11 | − | 4098.23i | −0.288167 | − | 0.499120i | ||||
\(408\) | 4734.76 | + | 3972.93i | 0.574523 | + | 0.482082i | ||||
\(409\) | −4224.36 | − | 3544.66i | −0.510712 | − | 0.428538i | 0.350668 | − | 0.936500i | \(-0.385955\pi\) |
−0.861380 | + | 0.507962i | \(0.830399\pi\) | |||||||
\(410\) | −2838.08 | − | 4915.69i | −0.341860 | − | 0.592119i | ||||
\(411\) | 3099.67 | − | 5368.79i | 0.372008 | − | 0.644338i | ||||
\(412\) | −6662.01 | + | 2424.77i | −0.796635 | + | 0.289952i | ||||
\(413\) | 866.534 | + | 4914.36i | 0.103243 | + | 0.585520i | ||||
\(414\) | −563.424 | + | 3195.34i | −0.0668860 | + | 0.379329i | ||||
\(415\) | −4062.86 | − | 1478.76i | −0.480574 | − | 0.174915i | ||||
\(416\) | −679.578 | + | 570.233i | −0.0800938 | + | 0.0672067i | ||||
\(417\) | 1694.19 | 0.198957 | ||||||||
\(418\) | −4702.33 | − | 7158.54i | −0.550235 | − | 0.837645i | ||||
\(419\) | −1125.88 | −0.131272 | −0.0656359 | − | 0.997844i | \(-0.520908\pi\) | ||||
−0.0656359 | + | 0.997844i | \(0.520908\pi\) | |||||||
\(420\) | 1995.34 | − | 1674.29i | 0.231816 | − | 0.194516i | ||||
\(421\) | 5879.23 | + | 2139.86i | 0.680608 | + | 0.247721i | 0.659109 | − | 0.752048i | \(-0.270934\pi\) |
0.0214997 | + | 0.999769i | \(0.493156\pi\) | |||||||
\(422\) | −745.524 | + | 4228.08i | −0.0859989 | + | 0.487724i | ||||
\(423\) | 1730.81 | + | 9815.89i | 0.198947 | + | 1.12829i | ||||
\(424\) | 4574.77 | − | 1665.08i | 0.523986 | − | 0.190715i | ||||
\(425\) | −224.271 | + | 388.450i | −0.0255971 | + | 0.0443355i | ||||
\(426\) | −1665.02 | − | 2883.91i | −0.189368 | − | 0.327995i | ||||
\(427\) | −3825.41 | − | 3209.90i | −0.433548 | − | 0.363790i | ||||
\(428\) | −1609.23 | − | 1350.30i | −0.181740 | − | 0.152498i | ||||
\(429\) | −4715.92 | − | 8168.21i | −0.530738 | − | 0.919266i | ||||
\(430\) | −4697.94 | + | 8137.07i | −0.526871 | + | 0.912568i | ||||
\(431\) | 645.399 | − | 234.906i | 0.0721294 | − | 0.0262529i | −0.305703 | − | 0.952127i | \(-0.598892\pi\) |
0.377833 | + | 0.925874i | \(0.376669\pi\) | |||||||
\(432\) | −195.756 | − | 1110.19i | −0.0218016 | − | 0.123643i | ||||
\(433\) | −710.953 | + | 4032.01i | −0.0789058 | + | 0.447497i | 0.919600 | + | 0.392855i | \(0.128513\pi\) |
−0.998506 | + | 0.0546416i | \(0.982598\pi\) | |||||||
\(434\) | −50.8524 | − | 18.5088i | −0.00562441 | − | 0.00204712i | ||||
\(435\) | 7983.82 | − | 6699.22i | 0.879988 | − | 0.738397i | ||||
\(436\) | 3276.57 | 0.359906 | ||||||||
\(437\) | 6001.98 | − | 5656.03i | 0.657011 | − | 0.619141i | ||||
\(438\) | −6852.75 | −0.747573 | ||||||||
\(439\) | 9446.82 | − | 7926.82i | 1.02704 | − | 0.861792i | 0.0365473 | − | 0.999332i | \(-0.488364\pi\) |
0.990496 | + | 0.137540i | \(0.0439196\pi\) | |||||||
\(440\) | −4411.91 | − | 1605.80i | −0.478021 | − | 0.173986i | ||||
\(441\) | −755.246 | + | 4283.21i | −0.0815512 | + | 0.462500i | ||||
\(442\) | −1130.54 | − | 6411.62i | −0.121662 | − | 0.689977i | ||||
\(443\) | 5347.19 | − | 1946.22i | 0.573482 | − | 0.208731i | −0.0389668 | − | 0.999241i | \(-0.512407\pi\) |
0.612449 | + | 0.790510i | \(0.290184\pi\) | |||||||
\(444\) | 1204.31 | − | 2085.93i | 0.128725 | − | 0.222959i | ||||
\(445\) | 5732.30 | + | 9928.63i | 0.610645 | + | 1.05767i | ||||
\(446\) | −4775.49 | − | 4007.11i | −0.507009 | − | 0.425431i | ||||
\(447\) | −9476.57 | − | 7951.78i | −1.00274 | − | 0.841402i | ||||
\(448\) | 279.035 | + | 483.303i | 0.0294267 | + | 0.0509686i | ||||
\(449\) | −7486.66 | + | 12967.3i | −0.786898 | + | 1.36295i | 0.140960 | + | 0.990015i | \(0.454981\pi\) |
−0.927859 | + | 0.372932i | \(0.878352\pi\) | |||||||
\(450\) | −116.959 | + | 42.5696i | −0.0122522 | + | 0.00445944i | ||||
\(451\) | 2245.24 | + | 12733.4i | 0.234421 | + | 1.32947i | ||||
\(452\) | 1347.40 | − | 7641.50i | 0.140213 | − | 0.795190i | ||||
\(453\) | 8298.83 | + | 3020.53i | 0.860735 | + | 0.313282i | ||||
\(454\) | −4137.40 | + | 3471.69i | −0.427704 | + | 0.358886i | ||||
\(455\) | −2743.70 | −0.282695 | ||||||||
\(456\) | 1958.73 | − | 3894.53i | 0.201153 | − | 0.399952i | ||||
\(457\) | −13039.1 | −1.33466 | −0.667332 | − | 0.744760i | \(-0.732564\pi\) | ||||
−0.667332 | + | 0.744760i | \(0.732564\pi\) | |||||||
\(458\) | −9386.38 | + | 7876.11i | −0.957635 | + | 0.803551i | ||||
\(459\) | 7774.30 | + | 2829.62i | 0.790574 | + | 0.287745i | ||||
\(460\) | 785.040 | − | 4452.18i | 0.0795710 | − | 0.451270i | ||||
\(461\) | −1003.14 | − | 5689.07i | −0.101346 | − | 0.574764i | −0.992617 | − | 0.121292i | \(-0.961296\pi\) |
0.891270 | − | 0.453472i | \(-0.149815\pi\) | |||||||
\(462\) | −5575.53 | + | 2029.33i | −0.561466 | + | 0.204357i | ||||
\(463\) | 8419.31 | − | 14582.7i | 0.845094 | − | 1.46375i | −0.0404450 | − | 0.999182i | \(-0.512878\pi\) |
0.885539 | − | 0.464564i | \(-0.153789\pi\) | |||||||
\(464\) | 1116.49 | + | 1933.81i | 0.111706 | + | 0.193480i | ||||
\(465\) | 177.514 | + | 148.952i | 0.0177033 | + | 0.0148548i | ||||
\(466\) | −407.497 | − | 341.931i | −0.0405085 | − | 0.0339906i | ||||
\(467\) | −2194.78 | − | 3801.46i | −0.217478 | − | 0.376683i | 0.736558 | − | 0.676374i | \(-0.236450\pi\) |
−0.954036 | + | 0.299691i | \(0.903116\pi\) | |||||||
\(468\) | 903.297 | − | 1564.56i | 0.0892199 | − | 0.154533i | ||||
\(469\) | 2445.92 | − | 890.241i | 0.240814 | − | 0.0876492i | ||||
\(470\) | −2411.60 | − | 13676.8i | −0.236678 | − | 1.34227i | ||||
\(471\) | 1530.53 | − | 8680.07i | 0.149731 | − | 0.849165i | ||||
\(472\) | 4302.11 | + | 1565.84i | 0.419536 | + | 0.152698i | ||||
\(473\) | 16395.7 | − | 13757.6i | 1.59381 | − | 1.33737i | ||||
\(474\) | 2979.61 | 0.288730 | ||||||||
\(475\) | 303.018 | + | 90.9084i | 0.0292704 | + | 0.00878139i | ||||
\(476\) | −4095.63 | −0.394376 | ||||||||
\(477\) | −7594.73 | + | 6372.73i | −0.729012 | + | 0.611714i | ||||
\(478\) | −3322.66 | − | 1209.35i | −0.317940 | − | 0.115721i | ||||
\(479\) | −519.886 | + | 2948.42i | −0.0495912 | + | 0.281246i | −0.999512 | − | 0.0312460i | \(-0.990052\pi\) |
0.949921 | + | 0.312492i | \(0.101164\pi\) | |||||||
\(480\) | −414.967 | − | 2353.40i | −0.0394595 | − | 0.223786i | ||||
\(481\) | −2384.12 | + | 867.748i | −0.226001 | + | 0.0822576i | ||||
\(482\) | 4987.74 | − | 8639.01i | 0.471339 | − | 0.816382i | ||||
\(483\) | −2856.61 | − | 4947.80i | −0.269111 | − | 0.466113i | ||||
\(484\) | 4114.37 | + | 3452.37i | 0.386399 | + | 0.324227i | ||||
\(485\) | 2044.46 | + | 1715.51i | 0.191411 | + | 0.160613i | ||||
\(486\) | 4042.08 | + | 7001.09i | 0.377268 | + | 0.653448i | ||||
\(487\) | −2766.10 | + | 4791.03i | −0.257380 | + | 0.445795i | −0.965539 | − | 0.260258i | \(-0.916193\pi\) |
0.708159 | + | 0.706053i | \(0.249526\pi\) | |||||||
\(488\) | −4305.18 | + | 1566.96i | −0.399357 | + | 0.145354i | ||||
\(489\) | −2660.51 | − | 15088.5i | −0.246038 | − | 1.39535i | ||||
\(490\) | 1052.31 | − | 5967.96i | 0.0970176 | − | 0.550214i | ||||
\(491\) | 4248.85 | + | 1546.46i | 0.390526 | + | 0.142140i | 0.529818 | − | 0.848112i | \(-0.322260\pi\) |
−0.139292 | + | 0.990251i | \(0.544483\pi\) | |||||||
\(492\) | −5041.37 | + | 4230.21i | −0.461957 | + | 0.387628i | ||||
\(493\) | −16387.6 | −1.49708 | ||||||||
\(494\) | −4217.44 | + | 1816.34i | −0.384112 | + | 0.165427i | ||||
\(495\) | 9561.28 | 0.868177 | ||||||||
\(496\) | −38.0330 | + | 31.9134i | −0.00344300 | + | 0.00288902i | ||||
\(497\) | 2073.55 | + | 754.709i | 0.187145 | + | 0.0681153i | ||||
\(498\) | −870.477 | + | 4936.72i | −0.0783273 | + | 0.444216i | ||||
\(499\) | −344.421 | − | 1953.31i | −0.0308986 | − | 0.175235i | 0.965453 | − | 0.260577i | \(-0.0839128\pi\) |
−0.996352 | + | 0.0853421i | \(0.972802\pi\) | |||||||
\(500\) | −5169.74 | + | 1881.63i | −0.462395 | + | 0.168298i | ||||
\(501\) | −9085.92 | + | 15737.3i | −0.810237 | + | 1.40337i | ||||
\(502\) | 1194.93 | + | 2069.68i | 0.106240 | + | 0.184013i | ||||
\(503\) | −14441.0 | − | 12117.5i | −1.28011 | − | 1.07414i | −0.993229 | − | 0.116169i | \(-0.962939\pi\) |
−0.286877 | − | 0.957968i | \(-0.592617\pi\) | |||||||
\(504\) | −870.600 | − | 730.520i | −0.0769436 | − | 0.0645634i | ||||
\(505\) | 5337.84 | + | 9245.42i | 0.470358 | + | 0.814685i | ||||
\(506\) | −5149.07 | + | 8918.46i | −0.452380 | + | 0.783545i | ||||
\(507\) | 8831.90 | − | 3214.55i | 0.773646 | − | 0.281584i | ||||
\(508\) | 466.769 | + | 2647.18i | 0.0407668 | + | 0.231200i | ||||
\(509\) | −842.918 | + | 4780.43i | −0.0734022 | + | 0.416284i | 0.925860 | + | 0.377868i | \(0.123343\pi\) |
−0.999262 | + | 0.0384167i | \(0.987769\pi\) | |||||||
\(510\) | 16480.1 | + | 5998.28i | 1.43089 | + | 0.520801i | ||||
\(511\) | 3478.53 | − | 2918.83i | 0.301137 | − | 0.252684i | ||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 680.771 | − | 5795.34i | 0.0585902 | − | 0.498773i | ||||
\(514\) | 14263.2 | 1.22397 | ||||||||
\(515\) | −15410.1 | + | 12930.6i | −1.31854 | + | 1.10639i | ||||
\(516\) | 10236.8 | + | 3725.89i | 0.873352 | + | 0.317874i | ||||
\(517\) | −5493.41 | + | 31154.7i | −0.467311 | + | 2.65025i | ||||
\(518\) | 277.151 | + | 1571.80i | 0.0235083 | + | 0.133322i | ||||
\(519\) | 3976.35 | − | 1447.27i | 0.336305 | − | 0.122405i | ||||
\(520\) | −1258.60 | + | 2179.95i | −0.106141 | + | 0.183841i | ||||
\(521\) | 3946.86 | + | 6836.17i | 0.331891 | + | 0.574852i | 0.982883 | − | 0.184233i | \(-0.0589800\pi\) |
−0.650992 | + | 0.759085i | \(0.725647\pi\) | |||||||
\(522\) | −3483.47 | − | 2922.98i | −0.292083 | − | 0.245087i | ||||
\(523\) | 13105.6 | + | 10996.9i | 1.09573 | + | 0.919429i | 0.997131 | − | 0.0756975i | \(-0.0241183\pi\) |
0.0986025 | + | 0.995127i | \(0.468563\pi\) | |||||||
\(524\) | −3681.82 | − | 6377.10i | −0.306948 | − | 0.531650i | ||||
\(525\) | 109.581 | − | 189.799i | 0.00910951 | − | 0.0157781i | ||||
\(526\) | −2699.90 | + | 982.682i | −0.223804 | + | 0.0814581i | ||||
\(527\) | −63.2715 | − | 358.830i | −0.00522988 | − | 0.0296601i | ||||
\(528\) | −945.260 | + | 5360.84i | −0.0779113 | + | 0.441857i | ||||
\(529\) | 2115.17 | + | 769.860i | 0.173845 | + | 0.0632744i | ||||
\(530\) | 10582.0 | − | 8879.37i | 0.867271 | − | 0.727726i | ||||
\(531\) | −9323.33 | −0.761955 | ||||||||
\(532\) | 664.552 | + | 2811.20i | 0.0541579 | + | 0.229100i | ||||
\(533\) | 6932.15 | 0.563348 | ||||||||
\(534\) | 10182.5 | − | 8544.11i | 0.825166 | − | 0.692396i | ||||
\(535\) | −5601.20 | − | 2038.67i | −0.452637 | − | 0.164746i | ||||
\(536\) | 414.674 | − | 2351.73i | 0.0334164 | − | 0.189514i | ||||
\(537\) | −2432.88 | − | 13797.5i | −0.195506 | − | 1.10877i | ||||
\(538\) | −2258.31 | + | 821.958i | −0.180972 | + | 0.0658683i | ||||
\(539\) | −6902.11 | + | 11954.8i | −0.551568 | + | 0.955343i | ||||
\(540\) | −1599.36 | − | 2770.17i | −0.127454 | − | 0.220758i | ||||
\(541\) | 17690.7 | + | 14844.2i | 1.40588 | + | 1.17967i | 0.958417 | + | 0.285372i | \(0.0921170\pi\) |
0.447464 | + | 0.894302i | \(0.352327\pi\) | |||||||
\(542\) | 1280.00 | + | 1074.04i | 0.101440 | + | 0.0851183i | ||||
\(543\) | 3447.71 | + | 5971.60i | 0.272477 | + | 0.471945i | ||||
\(544\) | −1878.76 | + | 3254.11i | −0.148072 | + | 0.256468i | ||||
\(545\) | 8736.48 | − | 3179.82i | 0.686660 | − | 0.249924i | ||||
\(546\) | 552.391 | + | 3132.77i | 0.0432970 | + | 0.245549i | ||||
\(547\) | 3473.82 | − | 19701.0i | 0.271535 | − | 1.53995i | −0.478222 | − | 0.878239i | \(-0.658719\pi\) |
0.749757 | − | 0.661713i | \(-0.230170\pi\) | |||||||
\(548\) | 3541.52 | + | 1289.01i | 0.276069 | + | 0.100481i | ||||
\(549\) | 7147.18 | − | 5997.19i | 0.555618 | − | 0.466219i | ||||
\(550\) | −395.040 | −0.0306265 | ||||||||
\(551\) | 2659.03 | + | 11248.3i | 0.205587 | + | 0.869677i | ||||
\(552\) | −5241.58 | −0.404160 | ||||||||
\(553\) | −1512.48 | + | 1269.12i | −0.116306 | + | 0.0975924i | ||||
\(554\) | 1073.75 | + | 390.812i | 0.0823451 | + | 0.0299712i | ||||
\(555\) | 1186.78 | − | 6730.57i | 0.0907676 | − | 0.514769i | ||||
\(556\) | 178.851 | + | 1014.31i | 0.0136420 | + | 0.0773677i | ||||
\(557\) | 6872.72 | − | 2501.46i | 0.522812 | − | 0.190288i | −0.0671139 | − | 0.997745i | \(-0.521379\pi\) |
0.589926 | + | 0.807457i | \(0.299157\pi\) | |||||||
\(558\) | 50.5535 | − | 87.5613i | 0.00383531 | − | 0.00664295i | ||||
\(559\) | −5737.48 | − | 9937.60i | −0.434113 | − | 0.751906i | ||||
\(560\) | 1213.04 | + | 1017.86i | 0.0915362 | + | 0.0768080i | ||||
\(561\) | −30603.2 | − | 25679.1i | −2.30315 | − | 1.93257i | ||||
\(562\) | 6617.20 | + | 11461.3i | 0.496672 | + | 0.860262i | ||||
\(563\) | −7273.00 | + | 12597.2i | −0.544442 | + | 0.943000i | 0.454200 | + | 0.890900i | \(0.349925\pi\) |
−0.998642 | + | 0.0521008i | \(0.983408\pi\) | |||||||
\(564\) | −15130.8 | + | 5507.15i | −1.12965 | + | 0.411157i | ||||
\(565\) | −3823.21 | − | 21682.5i | −0.284679 | − | 1.61450i | ||||
\(566\) | −2459.16 | + | 13946.6i | −0.182626 | + | 1.03572i | ||||
\(567\) | −7402.91 | − | 2694.44i | −0.548312 | − | 0.199569i | ||||
\(568\) | 1550.82 | − | 1301.30i | 0.114562 | − | 0.0961288i | ||||
\(569\) | −9607.67 | −0.707864 | −0.353932 | − | 0.935271i | \(-0.615156\pi\) | ||||
−0.353932 | + | 0.935271i | \(0.615156\pi\) | |||||||
\(570\) | 1443.11 | − | 12285.1i | 0.106044 | − | 0.902746i | ||||
\(571\) | 4066.67 | 0.298047 | 0.149024 | − | 0.988834i | \(-0.452387\pi\) | ||||
0.149024 | + | 0.988834i | \(0.452387\pi\) | |||||||
\(572\) | 4392.46 | − | 3685.71i | 0.321081 | − | 0.269419i | ||||
\(573\) | 15078.2 | + | 5488.00i | 1.09930 | + | 0.400113i | ||||
\(574\) | 757.255 | − | 4294.61i | 0.0550648 | − | 0.312288i | ||||
\(575\) | −66.0530 | − | 374.605i | −0.00479061 | − | 0.0271689i | ||||
\(576\) | −979.786 | + | 356.613i | −0.0708757 | + | 0.0257966i | ||||
\(577\) | −4383.19 | + | 7591.92i | −0.316247 | + | 0.547757i | −0.979702 | − | 0.200460i | \(-0.935756\pi\) |
0.663454 | + | 0.748217i | \(0.269090\pi\) | |||||||
\(578\) | −8875.05 | − | 15372.0i | −0.638674 | − | 1.10622i | ||||
\(579\) | −4237.77 | − | 3555.91i | −0.304172 | − | 0.255231i | ||||
\(580\) | 4853.65 | + | 4072.70i | 0.347477 | + | 0.291568i | ||||
\(581\) | −1660.86 | − | 2876.70i | −0.118596 | − | 0.205414i | ||||
\(582\) | 1547.16 | − | 2679.76i | 0.110192 | − | 0.190859i | ||||
\(583\) | −29569.1 | + | 10762.3i | −2.10056 | + | 0.764541i | ||||
\(584\) | −723.424 | − | 4102.74i | −0.0512594 | − | 0.290707i | ||||
\(585\) | 890.148 | − | 5048.28i | 0.0629113 | − | 0.356788i | ||||
\(586\) | −12468.4 | − | 4538.13i | −0.878952 | − | 0.319912i | ||||
\(587\) | 12645.9 | − | 10611.2i | 0.889188 | − | 0.746118i | −0.0788588 | − | 0.996886i | \(-0.525128\pi\) |
0.968047 | + | 0.250768i | \(0.0806832\pi\) | |||||||
\(588\) | −7026.11 | −0.492775 | ||||||||
\(589\) | −236.031 | + | 101.652i | −0.0165119 | + | 0.00711122i | ||||
\(590\) | 12990.5 | 0.906462 | ||||||||
\(591\) | 7187.53 | − | 6031.05i | 0.500263 | − | 0.419770i | ||||
\(592\) | 1375.98 | + | 500.816i | 0.0955278 | + | 0.0347693i | ||||
\(593\) | 981.169 | − | 5564.49i | 0.0679457 | − | 0.385339i | −0.931804 | − | 0.362962i | \(-0.881765\pi\) |
0.999750 | − | 0.0223770i | \(-0.00712342\pi\) | |||||||
\(594\) | 1265.27 | + | 7175.71i | 0.0873985 | + | 0.495661i | ||||
\(595\) | −10920.4 | + | 3974.70i | −0.752424 | + | 0.273860i | ||||
\(596\) | 3760.32 | − | 6513.07i | 0.258438 | − | 0.447627i | ||||
\(597\) | −8113.24 | − | 14052.6i | −0.556203 | − | 0.963371i | ||||
\(598\) | 4229.50 | + | 3548.97i | 0.289226 | + | 0.242689i | ||||
\(599\) | −1245.44 | − | 1045.05i | −0.0849537 | − | 0.0712846i | 0.599322 | − | 0.800508i | \(-0.295437\pi\) |
−0.684276 | + | 0.729224i | \(0.739881\pi\) | |||||||
\(600\) | −100.534 | − | 174.131i | −0.00684050 | − | 0.0118481i | ||||
\(601\) | 12273.5 | − | 21258.4i | 0.833024 | − | 1.44284i | −0.0626048 | − | 0.998038i | \(-0.519941\pi\) |
0.895629 | − | 0.444802i | \(-0.146726\pi\) | |||||||
\(602\) | −6783.30 | + | 2468.92i | −0.459247 | + | 0.167152i | ||||
\(603\) | 844.466 | + | 4789.20i | 0.0570303 | + | 0.323435i | ||||
\(604\) | −932.308 | + | 5287.38i | −0.0628064 | + | 0.356193i | ||||
\(605\) | 14320.8 | + | 5212.34i | 0.962352 | + | 0.350268i | ||||
\(606\) | 9481.79 | − | 7956.17i | 0.635597 | − | 0.533329i | ||||
\(607\) | 6347.64 | 0.424452 | 0.212226 | − | 0.977221i | \(-0.431929\pi\) | ||||
0.212226 | + | 0.977221i | \(0.431929\pi\) | |||||||
\(608\) | 2538.43 | + | 761.555i | 0.169321 | + | 0.0507979i | ||||
\(609\) | 8007.08 | 0.532781 | ||||||||
\(610\) | −9958.43 | + | 8356.11i | −0.660992 | + | 0.554638i | ||||
\(611\) | 15938.0 | + | 5800.96i | 1.05529 | + | 0.384094i | ||||
\(612\) | 1328.76 | − | 7535.78i | 0.0877647 | − | 0.497738i | ||||
\(613\) | −4225.96 | − | 23966.6i | −0.278442 | − | 1.57912i | −0.727812 | − | 0.685777i | \(-0.759463\pi\) |
0.449370 | − | 0.893346i | \(-0.351649\pi\) | |||||||
\(614\) | −7343.34 | + | 2672.76i | −0.482660 | + | 0.175674i | ||||
\(615\) | −9336.76 | + | 16171.7i | −0.612186 | + | 1.06034i | ||||
\(616\) | −1803.55 | − | 3123.84i | −0.117966 | − | 0.204323i | ||||
\(617\) | −4653.49 | − | 3904.74i | −0.303635 | − | 0.254780i | 0.478221 | − | 0.878240i | \(-0.341282\pi\) |
−0.781855 | + | 0.623460i | \(0.785726\pi\) | |||||||
\(618\) | 17866.8 | + | 14992.0i | 1.16295 | + | 0.975835i | ||||
\(619\) | −58.1237 | − | 100.673i | −0.00377413 | − | 0.00653699i | 0.864132 | − | 0.503265i | \(-0.167868\pi\) |
−0.867906 | + | 0.496728i | \(0.834535\pi\) | |||||||
\(620\) | −70.4381 | + | 122.002i | −0.00456268 | + | 0.00790280i | ||||
\(621\) | −6592.96 | + | 2399.64i | −0.426032 | + | 0.155063i | ||||
\(622\) | 949.410 | + | 5384.37i | 0.0612023 | + | 0.347096i | ||||
\(623\) | −1529.49 | + | 8674.17i | −0.0983591 | + | 0.557822i | ||||
\(624\) | 2742.48 | + | 998.180i | 0.175941 | + | 0.0640372i | ||||
\(625\) | −12324.0 | + | 10341.1i | −0.788739 | + | 0.661830i | ||||
\(626\) | 2961.59 | 0.189088 | ||||||||
\(627\) | −12660.3 | + | 25172.4i | −0.806383 | + | 1.60333i | ||||
\(628\) | 5358.33 | 0.340479 | ||||||||
\(629\) | −8232.13 | + | 6907.58i | −0.521839 | + | 0.437875i | ||||
\(630\) | −3030.27 | − | 1102.93i | −0.191633 | − | 0.0697488i | ||||
\(631\) | −2890.61 | + | 16393.5i | −0.182367 | + | 1.03425i | 0.746925 | + | 0.664908i | \(0.231529\pi\) |
−0.929292 | + | 0.369346i | \(0.879582\pi\) | |||||||
\(632\) | 314.548 | + | 1783.89i | 0.0197975 | + | 0.112277i | ||||
\(633\) | 13272.4 | − | 4830.76i | 0.833381 | − | 0.303326i | ||||
\(634\) | 10537.7 | − | 18251.8i | 0.660103 | − | 1.14333i | ||||
\(635\) | 3813.58 | + | 6605.32i | 0.238327 | + | 0.412794i | ||||
\(636\) | −12269.0 | − | 10294.9i | −0.764933 | − | 0.641855i | ||||
\(637\) | 5669.46 | + | 4757.25i | 0.352641 | + | 0.295901i | ||||
\(638\) | −7216.42 | − | 12499.2i | −0.447807 | − | 0.775625i | ||||
\(639\) | −2061.36 | + | 3570.38i | −0.127615 | + | 0.221036i | ||||
\(640\) | 1365.17 | − | 496.882i | 0.0843174 | − | 0.0306890i | ||||
\(641\) | −917.383 | − | 5202.74i | −0.0565280 | − | 0.320586i | 0.943411 | − | 0.331626i | \(-0.107597\pi\) |
−0.999939 | + | 0.0110394i | \(0.996486\pi\) | |||||||
\(642\) | −1200.07 | + | 6805.92i | −0.0737740 | + | 0.418393i | ||||
\(643\) | 22733.0 | + | 8274.12i | 1.39425 | + | 0.507464i | 0.926465 | − | 0.376380i | \(-0.122831\pi\) |
0.467781 | + | 0.883844i | \(0.345054\pi\) | |||||||
\(644\) | 2660.68 | − | 2232.58i | 0.162804 | − | 0.136609i | ||||
\(645\) | 30910.7 | 1.88699 | ||||||||
\(646\) | −14154.9 | + | 13339.0i | −0.862099 | + | 0.812408i | ||||
\(647\) | −22736.9 | −1.38158 | −0.690789 | − | 0.723056i | \(-0.742737\pi\) | ||||
−0.690789 | + | 0.723056i | \(0.742737\pi\) | |||||||
\(648\) | −5536.70 | + | 4645.85i | −0.335652 | + | 0.281645i | ||||
\(649\) | −27806.8 | − | 10120.8i | −1.68184 | − | 0.612138i | ||||
\(650\) | −36.7780 | + | 208.578i | −0.00221931 | + | 0.0125863i | ||||
\(651\) | 30.9149 | + | 175.327i | 0.00186121 | + | 0.0105555i | ||||
\(652\) | 8752.64 | − | 3185.70i | 0.525736 | − | 0.191352i | ||||
\(653\) | −986.712 | + | 1709.04i | −0.0591317 | + | 0.102419i | −0.894076 | − | 0.447916i | \(-0.852167\pi\) |
0.834944 | + | 0.550335i | \(0.185500\pi\) | |||||||
\(654\) | −5389.66 | − | 9335.17i | −0.322251 | − | 0.558156i | ||||
\(655\) | −16005.8 | − | 13430.5i | −0.954808 | − | 0.801179i | ||||
\(656\) | −3064.83 | − | 2571.70i | −0.182411 | − | 0.153061i | ||||
\(657\) | 4241.97 | + | 7347.32i | 0.251895 | + | 0.436295i | ||||
\(658\) | 5334.85 | − | 9240.23i | 0.316070 | − | 0.547449i | ||||
\(659\) | 1116.19 | − | 406.260i | 0.0659796 | − | 0.0240146i | −0.308820 | − | 0.951121i | \(-0.599934\pi\) |
0.374799 | + | 0.927106i | \(0.377712\pi\) | |||||||
\(660\) | 2682.15 | + | 15211.2i | 0.158186 | + | 0.897115i | ||||
\(661\) | 5018.84 | − | 28463.2i | 0.295325 | − | 1.67487i | −0.370551 | − | 0.928812i | \(-0.620831\pi\) |
0.665877 | − | 0.746062i | \(-0.268058\pi\) | |||||||
\(662\) | 3446.40 | + | 1254.39i | 0.202339 | + | 0.0736453i | ||||
\(663\) | −16407.5 | + | 13767.5i | −0.961108 | + | 0.806466i | ||||
\(664\) | −3047.51 | −0.178112 | ||||||||
\(665\) | 4500.12 | + | 6850.72i | 0.262417 | + | 0.399488i | ||||
\(666\) | −2981.96 | −0.173496 | ||||||||
\(667\) | 10646.0 | − | 8933.06i | 0.618014 | − | 0.518575i | ||||
\(668\) | −10381.1 | − | 3778.40i | −0.601282 | − | 0.218849i | ||||
\(669\) | −3561.28 | + | 20197.0i | −0.205810 | + | 1.16721i | ||||
\(670\) | −1176.63 | − | 6672.97i | −0.0678463 | − | 0.384775i | ||||
\(671\) | 27826.6 | − | 10128.1i | 1.60094 | − | 0.582696i | ||||
\(672\) | 917.976 | − | 1589.98i | 0.0526960 | − | 0.0912721i | ||||
\(673\) | −5342.27 | − | 9253.08i | −0.305987 | − | 0.529985i | 0.671494 | − | 0.741010i | \(-0.265653\pi\) |
−0.977481 | + | 0.211025i | \(0.932320\pi\) | |||||||
\(674\) | −2221.06 | − | 1863.69i | −0.126932 | − | 0.106509i | ||||
\(675\) | −206.173 | − | 172.999i | −0.0117564 | − | 0.00986481i | ||||
\(676\) | 2856.91 | + | 4948.31i | 0.162546 | + | 0.281538i | ||||
\(677\) | 12451.1 | − | 21565.9i | 0.706844 | − | 1.22429i | −0.259178 | − | 0.965830i | \(-0.583452\pi\) |
0.966022 | − | 0.258460i | \(-0.0832151\pi\) | |||||||
\(678\) | −23987.5 | + | 8730.73i | −1.35875 | + | 0.494545i | ||||
\(679\) | 356.052 | + | 2019.27i | 0.0201237 | + | 0.114127i | ||||
\(680\) | −1851.41 | + | 10499.9i | −0.104409 | + | 0.592135i | ||||
\(681\) | 16696.7 | + | 6077.11i | 0.939530 | + | 0.341961i | ||||
\(682\) | 245.827 | − | 206.273i | 0.0138023 | − | 0.0115815i | ||||
\(683\) | 24754.8 | 1.38685 | 0.693423 | − | 0.720531i | \(-0.256102\pi\) | ||||
0.693423 | + | 0.720531i | \(0.256102\pi\) | |||||||
\(684\) | −5388.09 | + | 310.698i | −0.301197 | + | 0.0173682i | ||||
\(685\) | 10693.9 | 0.596484 | ||||||||
\(686\) | 8148.87 | − | 6837.72i | 0.453536 | − | 0.380562i | ||||
\(687\) | 37879.3 | + | 13786.9i | 2.10362 | + | 0.765655i | ||||
\(688\) | −1150.02 | + | 6522.10i | −0.0637270 | + | 0.361414i | ||||
\(689\) | 2929.53 | + | 16614.2i | 0.161983 | + | 0.918651i | ||||
\(690\) | −13975.9 | + | 5086.81i | −0.771091 | + | 0.280654i | ||||
\(691\) | −4061.66 | + | 7035.01i | −0.223608 | + | 0.387300i | −0.955901 | − | 0.293690i | \(-0.905117\pi\) |
0.732293 | + | 0.680990i | \(0.238450\pi\) | |||||||
\(692\) | 1286.25 | + | 2227.86i | 0.0706591 | + | 0.122385i | ||||
\(693\) | 5627.14 | + | 4721.73i | 0.308452 | + | 0.258822i | ||||
\(694\) | −4785.74 | − | 4015.71i | −0.261764 | − | 0.219646i | ||||
\(695\) | 1461.24 | + | 2530.94i | 0.0797526 | + | 0.138136i | ||||
\(696\) | 3673.04 | − | 6361.88i | 0.200037 | − | 0.346475i | ||||
\(697\) | 27591.2 | − | 10042.4i | 1.49941 | − | 0.545741i | ||||
\(698\) | 185.296 | + | 1050.86i | 0.0100481 | + | 0.0569854i | ||||
\(699\) | −303.888 | + | 1723.43i | −0.0164436 | + | 0.0932564i | ||||
\(700\) | 125.201 | + | 45.5694i | 0.00676021 | + | 0.00246052i | ||||
\(701\) | −11630.5 | + | 9759.15i | −0.626645 | + | 0.525818i | −0.899884 | − | 0.436128i | \(-0.856349\pi\) |
0.273239 | + | 0.961946i | \(0.411905\pi\) | |||||||
\(702\) | 3906.51 | 0.210031 | ||||||||
\(703\) | 6077.03 | + | 4529.64i | 0.326031 | + | 0.243014i | ||||
\(704\) | −3309.32 | −0.177166 | ||||||||
\(705\) | −34999.4 | + | 29368.0i | −1.86972 | + | 1.56888i | ||||
\(706\) | −14084.9 | − | 5126.48i | −0.750839 | − | 0.273283i | ||||
\(707\) | −1424.24 | + | 8077.28i | −0.0757626 | + | 0.429671i | ||||
\(708\) | −2615.40 | − | 14832.7i | −0.138832 | − | 0.787353i | ||||
\(709\) | 15726.2 | − | 5723.88i | 0.833020 | − | 0.303195i | 0.109922 | − | 0.993940i | \(-0.464940\pi\) |
0.723098 | + | 0.690746i | \(0.242718\pi\) | |||||||
\(710\) | 2872.17 | − | 4974.74i | 0.151818 | − | 0.262956i | ||||
\(711\) | −1844.43 | − | 3194.65i | −0.0972876 | − | 0.168507i | ||||
\(712\) | 6190.29 | + | 5194.27i | 0.325830 | + | 0.273404i | ||||
\(713\) | 236.707 | + | 198.620i | 0.0124330 | + | 0.0104325i | ||||
\(714\) | 6736.94 | + | 11668.7i | 0.353114 | + | 0.611612i | ||||
\(715\) | 8134.97 | − | 14090.2i | 0.425497 | − | 0.736983i | ||||
\(716\) | 8003.76 | − | 2913.13i | 0.417758 | − | 0.152051i | ||||
\(717\) | 2019.96 | + | 11455.8i | 0.105212 | + | 0.596685i | ||||
\(718\) | −3013.73 | + | 17091.7i | −0.156646 | + | 0.888381i | ||||
\(719\) | −24987.0 | − | 9094.52i | −1.29605 | − | 0.471722i | −0.400339 | − | 0.916367i | \(-0.631108\pi\) |
−0.895707 | + | 0.444645i | \(0.853330\pi\) | |||||||
\(720\) | −2266.37 | + | 1901.71i | −0.117309 | + | 0.0984341i | ||||
\(721\) | −15455.0 | −0.798300 | ||||||||
\(722\) | 11452.5 | + | 7551.40i | 0.590330 | + | 0.389244i | ||||
\(723\) | −32817.5 | −1.68810 | ||||||||
\(724\) | −3211.23 | + | 2694.55i | −0.164841 | + | 0.138318i | ||||
\(725\) | 500.958 | + | 182.334i | 0.0256622 | + | 0.00934029i | ||||
\(726\) | 3068.26 | − | 17401.0i | 0.156851 | − | 0.889546i | ||||
\(727\) | −2478.57 | − | 14056.6i | −0.126444 | − | 0.717101i | −0.980440 | − | 0.196820i | \(-0.936938\pi\) |
0.853995 | − | 0.520281i | \(-0.174173\pi\) | |||||||
\(728\) | −1817.27 | + | 661.433i | −0.0925173 | + | 0.0336736i | ||||
\(729\) | 1101.05 | − | 1907.07i | 0.0559391 | − | 0.0968894i | ||||
\(730\) | −5910.50 | − | 10237.3i | −0.299668 | − | 0.519040i | ||||
\(731\) | −37232.4 | − | 31241.7i | −1.88384 | − | 1.58073i | ||||
\(732\) | 11546.0 | + | 9688.24i | 0.582995 | + | 0.489191i | ||||
\(733\) | 13147.5 | + | 22772.2i | 0.662503 | + | 1.14749i | 0.979956 | + | 0.199214i | \(0.0638389\pi\) |
−0.317453 | + | 0.948274i | \(0.602828\pi\) | |||||||
\(734\) | −2967.60 | + | 5140.04i | −0.149232 | + | 0.258477i | ||||
\(735\) | −18734.1 | + | 6818.65i | −0.940159 | + | 0.342190i | ||||
\(736\) | −553.338 | − | 3138.13i | −0.0277124 | − | 0.157165i | ||||
\(737\) | −2680.25 | + | 15200.5i | −0.133960 | + | 0.759724i | ||||
\(738\) | 7656.21 | + | 2786.63i | 0.381882 | + | 0.138994i | ||||
\(739\) | 3115.29 | − | 2614.04i | 0.155071 | − | 0.130120i | −0.561951 | − | 0.827171i | \(-0.689949\pi\) |
0.717022 | + | 0.697050i | \(0.245505\pi\) | |||||||
\(740\) | 4154.88 | 0.206400 | ||||||||
\(741\) | 12112.2 | + | 9028.05i | 0.600475 | + | 0.447576i | ||||
\(742\) | 10612.9 | 0.525081 | ||||||||
\(743\) | 12038.1 | − | 10101.2i | 0.594396 | − | 0.498757i | −0.295243 | − | 0.955422i | \(-0.595401\pi\) |
0.889639 | + | 0.456665i | \(0.150956\pi\) | |||||||
\(744\) | 153.484 | + | 55.8637i | 0.00756319 | + | 0.00275277i | ||||
\(745\) | 3705.58 | − | 21015.4i | 0.182231 | − | 1.03348i | ||||
\(746\) | −1903.64 | − | 10796.1i | −0.0934281 | − | 0.529857i | ||||
\(747\) | 5831.85 | − | 2122.62i | 0.285644 | − | 0.103966i | ||||
\(748\) | 12143.4 | − | 21033.0i | 0.593592 | − | 1.02813i | ||||
\(749\) | −2289.72 | − | 3965.91i | −0.111702 | − | 0.193473i | ||||
\(750\) | 13864.6 | + | 11633.8i | 0.675020 | + | 0.566409i | ||||
\(751\) | −25213.6 | − | 21156.7i | −1.22511 | − | 1.02799i | −0.998541 | − | 0.0539934i | \(-0.982805\pi\) |
−0.226568 | − | 0.973995i | \(-0.572751\pi\) | |||||||
\(752\) | −4894.44 | − | 8477.41i | −0.237343 | − | 0.411090i | ||||
\(753\) | 3931.11 | − | 6808.88i | 0.190249 | − | 0.329521i | ||||
\(754\) | −7271.33 | + | 2646.55i | −0.351202 | + | 0.127827i | ||||
\(755\) | 2645.40 | + | 15002.8i | 0.127518 | + | 0.723189i | ||||
\(756\) | 426.740 | − | 2420.17i | 0.0205296 | − | 0.116429i | ||||
\(757\) | −22119.0 | − | 8050.65i | −1.06199 | − | 0.386533i | −0.248815 | − | 0.968551i | \(-0.580041\pi\) |
−0.813176 | + | 0.582018i | \(0.802263\pi\) | |||||||
\(758\) | −14271.6 | + | 11975.3i | −0.683861 | + | 0.573828i | ||||
\(759\) | 33879.0 | 1.62020 | ||||||||
\(760\) | 7507.43 | − | 432.907i | 0.358320 | − | 0.0206621i | ||||
\(761\) | −32174.2 | −1.53260 | −0.766302 | − | 0.642480i | \(-0.777905\pi\) | ||||
−0.766302 | + | 0.642480i | \(0.777905\pi\) | |||||||
\(762\) | 6774.19 | − | 5684.22i | 0.322051 | − | 0.270233i | ||||
\(763\) | 6712.04 | + | 2442.98i | 0.318469 | + | 0.115913i | ||||
\(764\) | −1693.91 | + | 9606.64i | −0.0802141 | + | 0.454916i | ||||
\(765\) | −3770.32 | − | 21382.6i | −0.178191 | − | 1.01057i | ||||
\(766\) | −6158.06 | + | 2241.35i | −0.290469 | + | 0.105722i | ||||
\(767\) | −7932.52 | + | 13739.5i | −0.373438 | + | 0.646813i | ||||
\(768\) | −842.194 | − | 1458.72i | −0.0395704 | − | 0.0685379i | ||||
\(769\) | −7929.88 | − | 6653.96i | −0.371858 | − | 0.312026i | 0.437638 | − | 0.899151i | \(-0.355815\pi\) |
−0.809496 | + | 0.587125i | \(0.800260\pi\) | |||||||
\(770\) | −7840.50 | − | 6578.96i | −0.366951 | − | 0.307908i | ||||
\(771\) | −23461.6 | − | 40636.7i | −1.09591 | − | 1.89818i | ||||
\(772\) | 1681.56 | − | 2912.54i | 0.0783945 | − | 0.135783i | ||||
\(773\) | −17393.0 | + | 6330.53i | −0.809292 | + | 0.294558i | −0.713331 | − | 0.700827i | \(-0.752815\pi\) |
−0.0959607 | + | 0.995385i | \(0.530592\pi\) | |||||||
\(774\) | −2341.97 | − | 13282.0i | −0.108760 | − | 0.616810i | ||||
\(775\) | −2.05830 | + | 11.6732i | −9.54018e−5 | + | 0.000541050i | ||||
\(776\) | 1767.70 | + | 643.392i | 0.0817744 | + | 0.0297634i | ||||
\(777\) | 4022.28 | − | 3375.09i | 0.185712 | − | 0.155831i | ||||
\(778\) | 16623.2 | 0.766027 | ||||||||
\(779\) | −11369.9 | − | 17308.8i | −0.522938 | − | 0.796090i | ||||
\(780\) | 8281.11 | 0.380143 | ||||||||
\(781\) | −10023.8 | + | 8410.95i | −0.459256 | + | 0.385362i | ||||
\(782\) | 21975.4 | + | 7998.40i | 1.00491 | + | 0.365757i | ||||
\(783\) | 1707.49 | − | 9683.64i | 0.0779318 | − | 0.441973i | ||||
\(784\) | −741.725 | − | 4206.53i | −0.0337885 | − | 0.191624i | ||||
\(785\) | 14287.2 | − | 5200.12i | 0.649595 | − | 0.236433i | ||||
\(786\) | −12112.5 | + | 20979.5i | −0.549668 | + | 0.952053i | ||||
\(787\) | 14402.0 | + | 24945.0i | 0.652320 | + | 1.12985i | 0.982558 | + | 0.185954i | \(0.0595375\pi\) |
−0.330238 | + | 0.943898i | \(0.607129\pi\) | |||||||
\(788\) | 4369.56 | + | 3666.49i | 0.197537 | + | 0.165753i | ||||
\(789\) | 7240.82 | + | 6075.77i | 0.326717 | + | 0.274148i | ||||
\(790\) | 2569.91 | + | 4451.22i | 0.115738 | + | 0.200465i | ||||
\(791\) | 8457.58 | − | 14649.0i | 0.380173 | − | 0.658479i | ||||
\(792\) | 6332.86 | − | 2304.97i | 0.284127 | − | 0.103414i | ||||
\(793\) | −2756.90 | − | 15635.1i | −0.123456 | − | 0.700152i | ||||
\(794\) | −2374.11 | + | 13464.3i | −0.106114 | + | 0.601800i | ||||
\(795\) | −42704.4 | − | 15543.1i | −1.90512 | − | 0.693406i | ||||
\(796\) | 7556.77 | − | 6340.89i | 0.336486 | − | 0.282345i | ||||
\(797\) | −27046.4 | −1.20205 | −0.601025 | − | 0.799230i | \(-0.705241\pi\) | ||||
−0.601025 | + | 0.799230i | \(0.705241\pi\) | |||||||
\(798\) | 6916.17 | − | 6517.53i | 0.306804 | − | 0.289120i | ||||
\(799\) | 71839.6 | 3.18086 | ||||||||
\(800\) | 93.6389 | − | 78.5724i | 0.00413830 | − | 0.00347244i | ||||
\(801\) | −15463.9 | − | 5628.39i | −0.682134 | − | 0.248276i | ||||
\(802\) | 2543.54 | − | 14425.1i | 0.111989 | − | 0.635123i | ||||
\(803\) | 4675.87 | + | 26518.2i | 0.205489 | + | 1.16539i | ||||
\(804\) | −7382.35 | + | 2686.95i | −0.323825 | + | 0.117863i | ||||
\(805\) | 4927.66 | − | 8534.96i | 0.215748 | − | 0.373687i | ||||
\(806\) | −86.0243 | − | 148.999i | −0.00375940 | − | 0.00651148i | ||||
\(807\) | 6056.54 | + | 5082.04i | 0.264189 | + | 0.221681i | ||||
\(808\) | 5764.32 | + | 4836.84i | 0.250976 | + | 0.210593i | ||||
\(809\) | 18645.3 | + | 32294.6i | 0.810300 | + | 1.40348i | 0.912654 | + | 0.408733i | \(0.134029\pi\) |
−0.102354 | + | 0.994748i | \(0.532637\pi\) | |||||||
\(810\) | −10254.1 | + | 17760.7i | −0.444807 | + | 0.770428i | ||||
\(811\) | 4127.96 | − | 1502.46i | 0.178733 | − | 0.0650535i | −0.251103 | − | 0.967960i | \(-0.580793\pi\) |
0.429836 | + | 0.902907i | \(0.358571\pi\) | |||||||
\(812\) | 845.284 | + | 4793.84i | 0.0365316 | + | 0.207181i | ||||
\(813\) | 954.546 | − | 5413.50i | 0.0411776 | − | 0.233530i | ||||
\(814\) | −8893.68 | − | 3237.04i | −0.382953 | − | 0.139383i | ||||
\(815\) | 20246.0 | − | 16988.4i | 0.870166 | − | 0.730156i | ||||
\(816\) | 12361.6 | 0.530320 | ||||||||
\(817\) | −15402.7 | + | 30625.2i | −0.659575 | + | 1.31143i | ||||
\(818\) | −11029.0 | −0.471419 | ||||||||
\(819\) | 3016.92 | − | 2531.50i | 0.128718 | − | 0.108007i | ||||
\(820\) | −10667.7 | − | 3882.72i | −0.454307 | − | 0.165354i | ||||
\(821\) | −3216.75 | + | 18243.1i | −0.136742 | + | 0.775503i | 0.836889 | + | 0.547373i | \(0.184372\pi\) |
−0.973631 | + | 0.228130i | \(0.926739\pi\) | |||||||
\(822\) | −2153.01 | − | 12210.3i | −0.0913562 | − | 0.518107i | ||||
\(823\) | −35039.4 | + | 12753.3i | −1.48408 | + | 0.540160i | −0.951883 | − | 0.306462i | \(-0.900855\pi\) |
−0.532195 | + | 0.846622i | \(0.678633\pi\) | |||||||
\(824\) | −7089.56 | + | 12279.5i | −0.299729 | + | 0.519146i | ||||
\(825\) | 649.806 | + | 1125.50i | 0.0274222 | + | 0.0474967i | ||||
\(826\) | 7645.38 | + | 6415.24i | 0.322054 | + | 0.270236i | ||||
\(827\) | 13923.4 | + | 11683.1i | 0.585445 | + | 0.491247i | 0.886730 | − | 0.462287i | \(-0.152971\pi\) |
−0.301285 | + | 0.953534i | \(0.597415\pi\) | |||||||
\(828\) | 3244.63 | + | 5619.87i | 0.136182 | + | 0.235874i | ||||
\(829\) | 2031.13 | − | 3518.02i | 0.0850953 | − | 0.147389i | −0.820337 | − | 0.571881i | \(-0.806214\pi\) |
0.905432 | + | 0.424492i | \(0.139547\pi\) | |||||||
\(830\) | −8125.73 | + | 2957.52i | −0.339817 | + | 0.123683i | ||||
\(831\) | −652.768 | − | 3702.03i | −0.0272494 | − | 0.154539i | ||||
\(832\) | −308.096 | + | 1747.30i | −0.0128381 | + | 0.0728084i | ||||
\(833\) | 29457.1 | + | 10721.5i | 1.22524 | + | 0.445952i | ||||
\(834\) | 2595.65 | − | 2178.01i | 0.107770 | − | 0.0904297i | ||||
\(835\) | −31346.4 | −1.29915 | ||||||||
\(836\) | −16407.2 | − | 4922.33i | −0.678775 | − | 0.203639i | ||||
\(837\) | 218.630 | 0.00902864 | ||||||||
\(838\) | −1724.95 | + | 1447.41i | −0.0711067 | + | 0.0596656i | ||||
\(839\) | 33137.0 | + | 12060.9i | 1.36355 | + | 0.496290i | 0.917149 | − | 0.398545i | \(-0.130485\pi\) |
0.446397 | + | 0.894835i | \(0.352707\pi\) | |||||||
\(840\) | 904.614 | − | 5130.32i | 0.0371573 | − | 0.210730i | ||||
\(841\) | −852.930 | − | 4837.21i | −0.0349719 | − | 0.198336i | ||||
\(842\) | 11758.5 | − | 4279.73i | 0.481263 | − | 0.175165i | ||||
\(843\) | 21769.4 | − | 37705.7i | 0.889417 | − | 1.54051i | ||||
\(844\) | 4293.30 | + | 7436.22i | 0.175097 | + | 0.303276i | ||||
\(845\) | 12419.7 | + | 10421.4i | 0.505623 | + | 0.424268i | ||||
\(846\) | 15270.8 | + | 12813.7i | 0.620592 | + | 0.520739i | ||||
\(847\) | 5854.22 | + | 10139.8i | 0.237489 | + | 0.411344i | ||||
\(848\) | 4868.36 | − | 8432.25i | 0.197147 | − | 0.341468i | ||||
\(849\) | 43779.9 | − | 15934.6i | 1.76976 | − | 0.644139i | ||||
\(850\) | 155.777 | + | 883.457i | 0.00628602 | + | 0.0356498i | ||||
\(851\) | 1582.51 | − | 8974.87i | 0.0637460 | − | 0.361521i | ||||
\(852\) | −6258.44 | − | 2277.89i | −0.251656 | − | 0.0915952i | ||||
\(853\) | −21368.0 | + | 17929.9i | −0.857711 | + | 0.719705i | −0.961474 | − | 0.274897i | \(-0.911356\pi\) |
0.103763 | + | 0.994602i | \(0.466912\pi\) | |||||||
\(854\) | −9987.45 | −0.400191 | ||||||||
\(855\) | −14065.0 | + | 6057.42i | −0.562589 | + | 0.242292i | ||||
\(856\) | −4201.39 | −0.167758 | ||||||||
\(857\) | −1059.78 | + | 889.263i | −0.0422421 | + | 0.0354453i | −0.663664 | − | 0.748031i | \(-0.731000\pi\) |
0.621422 | + | 0.783476i | \(0.286555\pi\) | |||||||
\(858\) | −17726.1 | − | 6451.76i | −0.705312 | − | 0.256713i | ||||
\(859\) | −2480.33 | + | 14066.6i | −0.0985189 | + | 0.558729i | 0.895093 | + | 0.445879i | \(0.147109\pi\) |
−0.993612 | + | 0.112849i | \(0.964002\pi\) | |||||||
\(860\) | 3263.15 | + | 18506.3i | 0.129387 | + | 0.733789i | ||||
\(861\) | −13481.2 | + | 4906.77i | −0.533612 | + | 0.194219i | ||||
\(862\) | 686.819 | − | 1189.61i | 0.0271382 | − | 0.0470048i | ||||
\(863\) | −551.571 | − | 955.348i | −0.0217563 | − | 0.0376830i | 0.854942 | − | 0.518723i | \(-0.173592\pi\) |
−0.876699 | + | 0.481040i | \(0.840259\pi\) | |||||||
\(864\) | −1727.14 | − | 1449.24i | −0.0680076 | − | 0.0570652i | ||||
\(865\) | 5591.68 | + | 4691.98i | 0.219795 | + | 0.184430i | ||||
\(866\) | 4094.21 | + | 7091.39i | 0.160655 | + | 0.278262i | ||||
\(867\) | −29197.3 | + | 50571.2i | −1.14371 | + | 1.98096i | ||||
\(868\) | −101.705 | + | 37.0175i | −0.00397706 | + | 0.00144753i | ||||
\(869\) | −2033.09 | − | 11530.2i | −0.0793645 | − | 0.450099i | ||||
\(870\) | 3619.57 | − | 20527.6i | 0.141052 | − | 0.799943i | ||||
\(871\) | 7776.20 | + | 2830.31i | 0.302510 | + | 0.110105i | ||||
\(872\) | 5020.00 | − | 4212.28i | 0.194952 | − | 0.163585i | ||||
\(873\) | −3830.89 | −0.148518 | ||||||||
\(874\) | 1924.32 | − | 16381.5i | 0.0744748 | − | 0.633997i | ||||
\(875\) | −11993.1 | −0.463362 | ||||||||
\(876\) | −10499.0 | + | 8809.73i | −0.404942 | + | 0.339787i | ||||
\(877\) | −31216.9 | − | 11362.0i | −1.20196 | − | 0.437478i | −0.338053 | − | 0.941127i | \(-0.609768\pi\) |
−0.863909 | + | 0.503649i | \(0.831991\pi\) | |||||||
\(878\) | 4282.84 | − | 24289.2i | 0.164623 | − | 0.933623i | ||||
\(879\) | 7579.98 | + | 42988.2i | 0.290860 | + | 1.64955i | ||||
\(880\) | −8823.81 | + | 3211.61i | −0.338012 | + | 0.123026i | ||||
\(881\) | −14337.9 | + | 24834.0i | −0.548306 | + | 0.949694i | 0.450085 | + | 0.892986i | \(0.351394\pi\) |
−0.998391 | + | 0.0567080i | \(0.981940\pi\) | |||||||
\(882\) | 4349.29 | + | 7533.19i | 0.166041 | + | 0.287591i | ||||
\(883\) | 11855.7 | + | 9948.09i | 0.451841 | + | 0.379139i | 0.840118 | − | 0.542403i | \(-0.182485\pi\) |
−0.388278 | + | 0.921542i | \(0.626930\pi\) | |||||||
\(884\) | −9974.72 | − | 8369.78i | −0.379509 | − | 0.318446i | ||||
\(885\) | −21368.3 | − | 37010.9i | −0.811624 | − | 1.40577i | ||||
\(886\) | 5690.36 | − | 9856.00i | 0.215769 | − | 0.373723i | ||||
\(887\) | −12565.8 | + | 4573.59i | −0.475670 | + | 0.173130i | −0.568719 | − | 0.822532i | \(-0.692561\pi\) |
0.0930492 | + | 0.995662i | \(0.470339\pi\) | |||||||
\(888\) | −836.506 | − | 4744.06i | −0.0316118 | − | 0.179280i | ||||
\(889\) | −1017.54 | + | 5770.75i | −0.0383883 | + | 0.217711i | ||||
\(890\) | 21546.4 | + | 7842.24i | 0.811502 | + | 0.295362i | ||||
\(891\) | 35786.6 | − | 30028.5i | 1.34556 | − | 1.12906i | ||||
\(892\) | −12467.9 | −0.468001 | ||||||||
\(893\) | −11656.6 | − | 49310.0i | −0.436813 | − | 1.84781i | ||||
\(894\) | −24741.6 | −0.925595 | ||||||||
\(895\) | 18513.7 | − | 15534.9i | 0.691447 | − | 0.580193i | ||||
\(896\) | 1048.83 | + | 381.743i | 0.0391060 | + | 0.0142334i | ||||
\(897\) | 3154.11 | − | 17887.9i | 0.117406 | − | 0.665840i | ||||
\(898\) | 5200.18 | + | 29491.7i | 0.193243 | + | 1.09594i | ||||
\(899\) | −406.944 | + | 148.116i | −0.0150972 | + | 0.00549492i | ||||
\(900\) | −124.465 | + | 215.580i | −0.00460982 | + | 0.00798444i | ||||
\(901\) | 35728.5 | + | 61883.5i | 1.32107 | + | 2.28817i | ||||
\(902\) | 19809.6 | + | 16622.2i | 0.731250 | + | 0.613592i | ||||
\(903\) | 18192.0 | + | 15264.9i | 0.670424 | + | 0.562552i | ||||
\(904\) | −7759.38 | − | 13439.6i | −0.285479 | − | 0.494464i | ||||
\(905\) | −5947.30 | + | 10301.0i | −0.218447 | + | 0.378362i | ||||
\(906\) | 16597.7 | − | 6041.06i | 0.608632 | − | 0.221524i | ||||
\(907\) | −5593.31 | − | 31721.2i | −0.204766 | − | 1.16129i | −0.897808 | − | 0.440388i | \(-0.854841\pi\) |
0.693042 | − | 0.720898i | \(-0.256270\pi\) | |||||||
\(908\) | −1875.74 | + | 10637.9i | −0.0685559 | + | 0.388800i | ||||
\(909\) | −14399.8 | − | 5241.09i | −0.525424 | − | 0.191239i | ||||
\(910\) | −4203.59 | + | 3527.23i | −0.153129 | + | 0.128491i | ||||
\(911\) | −9415.47 | −0.342424 | −0.171212 | − | 0.985234i | \(-0.554768\pi\) | ||||
−0.171212 | + | 0.985234i | \(0.554768\pi\) | |||||||
\(912\) | −2005.77 | − | 8484.86i | −0.0728266 | − | 0.308072i | ||||
\(913\) | 19697.6 | 0.714016 | ||||||||
\(914\) | −19977.0 | + | 16762.7i | −0.722955 | + | 0.606631i | ||||
\(915\) | 40187.8 | + | 14627.2i | 1.45199 | + | 0.528480i | ||||
\(916\) | −4255.44 | + | 24133.8i | −0.153498 | + | 0.870528i | ||||
\(917\) | −2787.48 | − | 15808.6i | −0.100382 | − | 0.569297i | ||||
\(918\) | 15548.6 | − | 5659.23i | 0.559020 | − | 0.203467i | ||||
\(919\) | 7683.70 | − | 13308.6i | 0.275802 | − | 0.477703i | −0.694535 | − | 0.719459i | \(-0.744390\pi\) |
0.970337 | + | 0.241756i | \(0.0777233\pi\) | |||||||
\(920\) | −4520.86 | − | 7830.37i | −0.162009 | − | 0.280608i | ||||
\(921\) | 19694.0 | + | 16525.2i | 0.704603 | + | 0.591232i | ||||
\(922\) | −8850.62 | − | 7426.55i | −0.316139 | − | 0.265272i | ||||
\(923\) | 3507.71 | + | 6075.53i | 0.125090 | + | 0.216661i | ||||
\(924\) | −5933.36 | + | 10276.9i | −0.211248 | + | 0.365892i | ||||
\(925\) | 328.507 | − | 119.567i | 0.0116770 | − | 0.00425009i | ||||
\(926\) | −5847.99 | − | 33165.6i | −0.207535 | − | 1.17699i | ||||
\(927\) | 5014.12 | − | 28436.5i | 0.177654 | − | 1.00753i | ||||
\(928\) | 4196.61 | + | 1527.44i | 0.148449 | + | 0.0540310i | ||||
\(929\) | 2515.76 | − | 2110.97i | 0.0888475 | − | 0.0745519i | −0.597282 | − | 0.802031i | \(-0.703753\pi\) |
0.686130 | + | 0.727479i | \(0.259308\pi\) | |||||||
\(930\) | 463.457 | 0.0163413 | ||||||||
\(931\) | 2579.47 | − | 21958.7i | 0.0908040 | − | 0.773006i | ||||
\(932\) | −1063.90 | −0.0373918 | ||||||||
\(933\) | 13778.7 | − | 11561.7i | 0.483490 | − | 0.405696i | ||||
\(934\) | −8249.66 | − | 3002.63i | −0.289012 | − | 0.105192i | ||||
\(935\) | 11966.6 | − | 67866.2i | 0.418557 | − | 2.37376i | ||||
\(936\) | −627.423 | − | 3558.29i | −0.0219102 | − | 0.124259i | ||||
\(937\) | −14451.3 | + | 5259.85i | −0.503846 | + | 0.183385i | −0.581423 | − | 0.813601i | \(-0.697504\pi\) |
0.0775771 | + | 0.996986i | \(0.475282\pi\) | |||||||
\(938\) | 2602.89 | − | 4508.34i | 0.0906048 | − | 0.156932i | ||||
\(939\) | −4871.55 | − | 8437.76i | −0.169304 | − | 0.293244i | ||||
\(940\) | −21277.4 | − | 17853.8i | −0.738289 | − | 0.619498i | ||||
\(941\) | −24235.4 | − | 20335.9i | −0.839588 | − | 0.704498i | 0.117883 | − | 0.993027i | \(-0.462389\pi\) |
−0.957471 | + | 0.288530i | \(0.906834\pi\) | |||||||
\(942\) | −8813.98 | − | 15266.3i | −0.304857 | − | 0.528027i | ||||
\(943\) | −12450.1 | + | 21564.2i | −0.429937 | + | 0.744673i | ||||
\(944\) | 8604.22 | − | 3131.68i | 0.296656 | − | 0.107974i | ||||
\(945\) | −1210.86 | − | 6867.15i | −0.0416819 | − | 0.236390i | ||||
\(946\) | 7433.19 | − | 42155.7i | 0.255469 | − | 1.44884i | ||||
\(947\) | −31907.3 | − | 11613.3i | −1.09488 | − | 0.398502i | −0.269451 | − | 0.963014i | \(-0.586842\pi\) |
−0.825425 | + | 0.564512i | \(0.809064\pi\) | |||||||
\(948\) | 4565.02 | − | 3830.51i | 0.156398 | − | 0.131233i | ||||
\(949\) | 14436.7 | 0.493820 | ||||||||
\(950\) | 581.120 | − | 250.273i | 0.0198463 | − | 0.00854729i | ||||
\(951\) | −69334.2 | −2.36416 | ||||||||
\(952\) | −6274.87 | + | 5265.24i | −0.213624 | + | 0.179251i | ||||
\(953\) | −47393.0 | − | 17249.6i | −1.61092 | − | 0.586328i | −0.629300 | − | 0.777163i | \(-0.716658\pi\) |
−0.981622 | + | 0.190835i | \(0.938880\pi\) | |||||||
\(954\) | −3443.17 | + | 19527.2i | −0.116852 | + | 0.662700i | ||||
\(955\) | 4806.42 | + | 27258.6i | 0.162861 | + | 0.923630i | ||||
\(956\) | −6645.33 | + | 2418.70i | −0.224817 | + | 0.0818268i | ||||
\(957\) | −23740.7 | + | 41120.2i | −0.801911 | + | 1.38895i | ||||
\(958\) | 2993.90 | + | 5185.59i | 0.100969 | + | 0.174884i | ||||
\(959\) | 6293.71 | + | 5281.05i | 0.211923 | + | 0.177825i | ||||
\(960\) | −3661.23 | − | 3072.14i | −0.123089 | − | 0.103284i | ||||
\(961\) | 14890.7 | + | 25791.4i | 0.499838 | + | 0.865745i | ||||
\(962\) | −2537.13 | + | 4394.43i | −0.0850314 | + | 0.147279i | ||||
\(963\) | 8039.97 | − | 2926.31i | 0.269039 | − | 0.0979222i | ||||
\(964\) | −3464.45 | − | 19647.9i | −0.115749 | − | 0.656447i | ||||
\(965\) | 1657.08 | − | 9397.76i | 0.0552780 | − | 0.313497i | ||||
\(966\) | −10737.4 | − | 3908.08i | −0.357628 | − | 0.130166i | ||||
\(967\) | −943.098 | + | 791.353i | −0.0313630 | + | 0.0263166i | −0.658334 | − | 0.752726i | \(-0.728739\pi\) |
0.626971 | + | 0.779042i | \(0.284294\pi\) | |||||||
\(968\) | 10741.9 | 0.356670 | ||||||||
\(969\) | 61287.2 | + | 18386.7i | 2.03181 | + | 0.609564i | ||||
\(970\) | 5337.71 | 0.176684 | ||||||||
\(971\) | 27828.4 | − | 23350.8i | 0.919729 | − | 0.771744i | −0.0542159 | − | 0.998529i | \(-0.517266\pi\) |
0.973945 | + | 0.226785i | \(0.0728215\pi\) | |||||||
\(972\) | 15193.2 | + | 5529.89i | 0.501362 | + | 0.182481i | ||||
\(973\) | −389.888 | + | 2211.17i | −0.0128461 | + | 0.0728538i | ||||
\(974\) | 1921.31 | + | 10896.3i | 0.0632062 | + | 0.358460i | ||||
\(975\) | 654.750 | − | 238.310i | 0.0215064 | − | 0.00782771i | ||||
\(976\) | −4581.47 | + | 7935.35i | −0.150256 | + | 0.260250i | ||||
\(977\) | −5283.15 | − | 9150.68i | −0.173002 | − | 0.299648i | 0.766466 | − | 0.642285i | \(-0.222013\pi\) |
−0.939468 | + | 0.342637i | \(0.888680\pi\) | |||||||
\(978\) | −23473.6 | − | 19696.7i | −0.767487 | − | 0.643998i | ||||
\(979\) | −40011.1 | − | 33573.3i | −1.30619 | − | 1.09602i | ||||
\(980\) | −6060.02 | − | 10496.3i | −0.197531 | − | 0.342134i | ||||
\(981\) | −6672.59 | + | 11557.3i | −0.217166 | + | 0.376142i | ||||
\(982\) | 8497.71 | − | 3092.91i | 0.276143 | − | 0.100508i | ||||
\(983\) | 8100.47 | + | 45940.1i | 0.262833 | + | 1.49060i | 0.775135 | + | 0.631795i | \(0.217682\pi\) |
−0.512302 | + | 0.858805i | \(0.671207\pi\) | |||||||
\(984\) | −2285.57 | + | 12962.1i | −0.0740461 | + | 0.419937i | ||||
\(985\) | 15209.0 | + | 5535.62i | 0.491979 | + | 0.179066i | ||||
\(986\) | −25107.2 | + | 21067.4i | −0.810929 | + | 0.680451i | ||||
\(987\) | −35101.4 | −1.13201 | ||||||||
\(988\) | −4126.45 | + | 8204.62i | −0.132874 | + | 0.264194i | ||||
\(989\) | 41217.9 | 1.32523 | ||||||||
\(990\) | 14648.7 | − | 12291.7i | 0.470270 | − | 0.394603i | ||||
\(991\) | −12040.2 | − | 4382.27i | −0.385942 | − | 0.140472i | 0.141760 | − | 0.989901i | \(-0.454724\pi\) |
−0.527702 | + | 0.849430i | \(0.676946\pi\) | |||||||
\(992\) | −17.2427 | + | 97.7885i | −0.000551873 | + | 0.00312983i | ||||
\(993\) | −2095.19 | − | 11882.4i | −0.0669574 | − | 0.379734i | ||||
\(994\) | 4147.09 | − | 1509.42i | 0.132332 | − | 0.0481648i | ||||
\(995\) | 13995.4 | − | 24240.7i | 0.445912 | − | 0.772343i | ||||
\(996\) | 5012.88 | + | 8682.56i | 0.159477 | + | 0.276222i | ||||
\(997\) | 38366.4 | + | 32193.2i | 1.21873 | + | 1.02264i | 0.998890 | + | 0.0471024i | \(0.0149987\pi\) |
0.219842 | + | 0.975535i | \(0.429446\pi\) | |||||||
\(998\) | −3038.81 | − | 2549.87i | −0.0963847 | − | 0.0808764i | ||||
\(999\) | −3224.04 | − | 5584.21i | −0.102106 | − | 0.176853i |
(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 | 38.4.e.a.25.1 | ✓ | 12 | |
19.4 | even | 9 | 722.4.a.p.1.6 | 6 | |||
19.15 | odd | 18 | 722.4.a.o.1.1 | 6 | |||
19.16 | even | 9 | inner | 38.4.e.a.35.1 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.4.e.a.25.1 | ✓ | 12 | 1.1 | even | 1 | trivial | |
38.4.e.a.35.1 | yes | 12 | 19.16 | even | 9 | inner | |
722.4.a.o.1.1 | 6 | 19.15 | odd | 18 | |||
722.4.a.p.1.6 | 6 | 19.4 | even | 9 |