Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [15,4,Mod(4,15)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(15, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("15.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 15 = 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 15.b (of order \(2\), degree \(1\), 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: | \(0.885028650086\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(i, \sqrt{41})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} + 21x^{2} + 100 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 4.2 | ||
Root | \(-2.70156i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 15.4 |
Dual form | 15.4.b.a.4.3 |
$q$-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 \(\left(\mathbb{Z}/15\mathbb{Z}\right)^\times\).
\(n\) | \(7\) | \(11\) |
\(\chi(n)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.70156i | − | 0.601593i | −0.953688 | − | 0.300797i | \(-0.902747\pi\) | ||
0.953688 | − | 0.300797i | \(-0.0972525\pi\) | |||||||
\(3\) | − | 3.00000i | − | 0.577350i | ||||||
\(4\) | 5.10469 | 0.638086 | ||||||||
\(5\) | −8.10469 | + | 7.70156i | −0.724905 | + | 0.688849i | ||||
\(6\) | −5.10469 | −0.347330 | ||||||||
\(7\) | 22.2094i | 1.19919i | 0.800302 | + | 0.599597i | \(0.204672\pi\) | ||||
−0.800302 | + | 0.599597i | \(0.795328\pi\) | |||||||
\(8\) | − | 22.2984i | − | 0.985461i | ||||||
\(9\) | −9.00000 | −0.333333 | ||||||||
\(10\) | 13.1047 | + | 13.7906i | 0.414407 | + | 0.436098i | ||||
\(11\) | −1.79063 | −0.0490813 | −0.0245407 | − | 0.999699i | \(-0.507812\pi\) | ||||
−0.0245407 | + | 0.999699i | \(0.507812\pi\) | |||||||
\(12\) | − | 15.3141i | − | 0.368399i | ||||||
\(13\) | − | 58.2094i | − | 1.24188i | −0.783860 | − | 0.620938i | \(-0.786752\pi\) | ||
0.783860 | − | 0.620938i | \(-0.213248\pi\) | |||||||
\(14\) | 37.7906 | 0.721426 | ||||||||
\(15\) | 23.1047 | + | 24.3141i | 0.397707 | + | 0.418524i | ||||
\(16\) | 2.89531 | 0.0452393 | ||||||||
\(17\) | 18.9844i | 0.270846i | 0.990788 | + | 0.135423i | \(0.0432394\pi\) | ||||
−0.990788 | + | 0.135423i | \(0.956761\pi\) | |||||||
\(18\) | 15.3141i | 0.200531i | ||||||||
\(19\) | −104.837 | −1.26586 | −0.632931 | − | 0.774208i | \(-0.718148\pi\) | ||||
−0.632931 | + | 0.774208i | \(0.718148\pi\) | |||||||
\(20\) | −41.3719 | + | 39.3141i | −0.462552 | + | 0.439545i | ||||
\(21\) | 66.6281 | 0.692355 | ||||||||
\(22\) | 3.04686i | 0.0295270i | ||||||||
\(23\) | 49.6125i | 0.449779i | 0.974384 | + | 0.224890i | \(0.0722021\pi\) | ||||
−0.974384 | + | 0.224890i | \(0.927798\pi\) | |||||||
\(24\) | −66.8953 | −0.568956 | ||||||||
\(25\) | 6.37188 | − | 124.837i | 0.0509751 | − | 0.998700i | ||||
\(26\) | −99.0469 | −0.747103 | ||||||||
\(27\) | 27.0000i | 0.192450i | ||||||||
\(28\) | 113.372i | 0.765188i | ||||||||
\(29\) | 293.466 | 1.87914 | 0.939572 | − | 0.342350i | \(-0.111223\pi\) | ||||
0.939572 | + | 0.342350i | \(0.111223\pi\) | |||||||
\(30\) | 41.3719 | − | 39.3141i | 0.251781 | − | 0.239258i | ||||
\(31\) | 64.4187 | 0.373224 | 0.186612 | − | 0.982434i | \(-0.440249\pi\) | ||||
0.186612 | + | 0.982434i | \(0.440249\pi\) | |||||||
\(32\) | − | 183.314i | − | 1.01268i | ||||||
\(33\) | 5.37188i | 0.0283371i | ||||||||
\(34\) | 32.3031 | 0.162939 | ||||||||
\(35\) | −171.047 | − | 180.000i | −0.826063 | − | 0.869302i | ||||
\(36\) | −45.9422 | −0.212695 | ||||||||
\(37\) | − | 19.8844i | − | 0.0883505i | −0.999024 | − | 0.0441752i | \(-0.985934\pi\) | ||
0.999024 | − | 0.0441752i | \(-0.0140660\pi\) | |||||||
\(38\) | 178.388i | 0.761534i | ||||||||
\(39\) | −174.628 | −0.716997 | ||||||||
\(40\) | 171.733 | + | 180.722i | 0.678834 | + | 0.714366i | ||||
\(41\) | −165.581 | −0.630718 | −0.315359 | − | 0.948972i | \(-0.602125\pi\) | ||||
−0.315359 | + | 0.948972i | \(0.602125\pi\) | |||||||
\(42\) | − | 113.372i | − | 0.416516i | ||||||
\(43\) | 247.350i | 0.877221i | 0.898677 | + | 0.438611i | \(0.144529\pi\) | ||||
−0.898677 | + | 0.438611i | \(0.855471\pi\) | |||||||
\(44\) | −9.14059 | −0.0313181 | ||||||||
\(45\) | 72.9422 | − | 69.3141i | 0.241635 | − | 0.229616i | ||||
\(46\) | 84.4187 | 0.270584 | ||||||||
\(47\) | 384.544i | 1.19344i | 0.802451 | + | 0.596718i | \(0.203529\pi\) | ||||
−0.802451 | + | 0.596718i | \(0.796471\pi\) | |||||||
\(48\) | − | 8.68594i | − | 0.0261189i | ||||||
\(49\) | −150.256 | −0.438065 | ||||||||
\(50\) | −212.419 | − | 10.8422i | −0.600811 | − | 0.0306662i | ||||
\(51\) | 56.9531 | 0.156373 | ||||||||
\(52\) | − | 297.141i | − | 0.792423i | ||||||
\(53\) | − | 463.528i | − | 1.20133i | −0.799501 | − | 0.600665i | \(-0.794903\pi\) | ||
0.799501 | − | 0.600665i | \(-0.205097\pi\) | |||||||
\(54\) | 45.9422 | 0.115777 | ||||||||
\(55\) | 14.5125 | − | 13.7906i | 0.0355793 | − | 0.0338096i | ||||
\(56\) | 495.234 | 1.18176 | ||||||||
\(57\) | 314.512i | 0.730846i | ||||||||
\(58\) | − | 499.350i | − | 1.13048i | ||||||
\(59\) | 73.7906 | 0.162826 | 0.0814129 | − | 0.996680i | \(-0.474057\pi\) | ||||
0.0814129 | + | 0.996680i | \(0.474057\pi\) | |||||||
\(60\) | 117.942 | + | 124.116i | 0.253771 | + | 0.267054i | ||||
\(61\) | −137.350 | −0.288293 | −0.144146 | − | 0.989556i | \(-0.546044\pi\) | ||||
−0.144146 | + | 0.989556i | \(0.546044\pi\) | |||||||
\(62\) | − | 109.612i | − | 0.224529i | ||||||
\(63\) | − | 199.884i | − | 0.399731i | ||||||
\(64\) | −288.758 | −0.563980 | ||||||||
\(65\) | 448.303 | + | 471.769i | 0.855464 | + | 0.900242i | ||||
\(66\) | 9.14059 | 0.0170474 | ||||||||
\(67\) | 173.906i | 0.317105i | 0.987351 | + | 0.158552i | \(0.0506827\pi\) | ||||
−0.987351 | + | 0.158552i | \(0.949317\pi\) | |||||||
\(68\) | 96.9093i | 0.172823i | ||||||||
\(69\) | 148.837 | 0.259680 | ||||||||
\(70\) | −306.281 | + | 291.047i | −0.522966 | + | 0.496954i | ||||
\(71\) | −594.281 | −0.993355 | −0.496677 | − | 0.867935i | \(-0.665447\pi\) | ||||
−0.496677 | + | 0.867935i | \(0.665447\pi\) | |||||||
\(72\) | 200.686i | 0.328487i | ||||||||
\(73\) | − | 320.231i | − | 0.513428i | −0.966487 | − | 0.256714i | \(-0.917360\pi\) | ||
0.966487 | − | 0.256714i | \(-0.0826398\pi\) | |||||||
\(74\) | −33.8345 | −0.0531510 | ||||||||
\(75\) | −374.512 | − | 19.1156i | −0.576600 | − | 0.0294305i | ||||
\(76\) | −535.163 | −0.807728 | ||||||||
\(77\) | − | 39.7687i | − | 0.0588580i | ||||||
\(78\) | 297.141i | 0.431340i | ||||||||
\(79\) | 770.469 | 1.09727 | 0.548636 | − | 0.836061i | \(-0.315147\pi\) | ||||
0.548636 | + | 0.836061i | \(0.315147\pi\) | |||||||
\(80\) | −23.4656 | + | 22.2984i | −0.0327942 | + | 0.0311630i | ||||
\(81\) | 81.0000 | 0.111111 | ||||||||
\(82\) | 281.747i | 0.379436i | ||||||||
\(83\) | − | 173.925i | − | 0.230009i | −0.993365 | − | 0.115004i | \(-0.963312\pi\) | ||
0.993365 | − | 0.115004i | \(-0.0366882\pi\) | |||||||
\(84\) | 340.116 | 0.441782 | ||||||||
\(85\) | −146.209 | − | 153.862i | −0.186572 | − | 0.196338i | ||||
\(86\) | 420.881 | 0.527730 | ||||||||
\(87\) | − | 880.397i | − | 1.08492i | ||||||
\(88\) | 39.9282i | 0.0483677i | ||||||||
\(89\) | −1019.02 | −1.21367 | −0.606834 | − | 0.794829i | \(-0.707561\pi\) | ||||
−0.606834 | + | 0.794829i | \(0.707561\pi\) | |||||||
\(90\) | −117.942 | − | 124.116i | −0.138136 | − | 0.145366i | ||||
\(91\) | 1292.79 | 1.48925 | ||||||||
\(92\) | 253.256i | 0.286998i | ||||||||
\(93\) | − | 193.256i | − | 0.215481i | ||||||
\(94\) | 654.325 | 0.717962 | ||||||||
\(95\) | 849.675 | − | 807.412i | 0.917630 | − | 0.871987i | ||||
\(96\) | −549.942 | −0.584669 | ||||||||
\(97\) | 384.375i | 0.402344i | 0.979556 | + | 0.201172i | \(0.0644750\pi\) | ||||
−0.979556 | + | 0.201172i | \(0.935525\pi\) | |||||||
\(98\) | 255.670i | 0.263537i | ||||||||
\(99\) | 16.1156 | 0.0163604 | ||||||||
\(100\) | 32.5265 | − | 637.256i | 0.0325265 | − | 0.637256i | ||||
\(101\) | 34.4906 | 0.0339796 | 0.0169898 | − | 0.999856i | \(-0.494592\pi\) | ||||
0.0169898 | + | 0.999856i | \(0.494592\pi\) | |||||||
\(102\) | − | 96.9093i | − | 0.0940730i | ||||||
\(103\) | 1756.30i | 1.68013i | 0.542484 | + | 0.840066i | \(0.317484\pi\) | ||||
−0.542484 | + | 0.840066i | \(0.682516\pi\) | |||||||
\(104\) | −1297.98 | −1.22382 | ||||||||
\(105\) | −540.000 | + | 513.141i | −0.501891 | + | 0.476928i | ||||
\(106\) | −788.722 | −0.722712 | ||||||||
\(107\) | − | 1361.74i | − | 1.23032i | −0.788403 | − | 0.615159i | \(-0.789092\pi\) | ||
0.788403 | − | 0.615159i | \(-0.210908\pi\) | |||||||
\(108\) | 137.827i | 0.122800i | ||||||||
\(109\) | −321.119 | −0.282180 | −0.141090 | − | 0.989997i | \(-0.545061\pi\) | ||||
−0.141090 | + | 0.989997i | \(0.545061\pi\) | |||||||
\(110\) | −23.4656 | − | 24.6939i | −0.0203396 | − | 0.0214043i | ||||
\(111\) | −59.6531 | −0.0510092 | ||||||||
\(112\) | 64.3031i | 0.0542506i | ||||||||
\(113\) | 1582.25i | 1.31721i | 0.752487 | + | 0.658607i | \(0.228854\pi\) | ||||
−0.752487 | + | 0.658607i | \(0.771146\pi\) | |||||||
\(114\) | 535.163 | 0.439672 | ||||||||
\(115\) | −382.094 | − | 402.094i | −0.309830 | − | 0.326047i | ||||
\(116\) | 1498.05 | 1.19906 | ||||||||
\(117\) | 523.884i | 0.413958i | ||||||||
\(118\) | − | 125.559i | − | 0.0979549i | ||||||
\(119\) | −421.631 | −0.324797 | ||||||||
\(120\) | 542.166 | − | 515.198i | 0.412439 | − | 0.391925i | ||||
\(121\) | −1327.79 | −0.997591 | ||||||||
\(122\) | 233.709i | 0.173435i | ||||||||
\(123\) | 496.744i | 0.364145i | ||||||||
\(124\) | 328.837 | 0.238149 | ||||||||
\(125\) | 909.802 | + | 1060.84i | 0.651001 | + | 0.759077i | ||||
\(126\) | −340.116 | −0.240475 | ||||||||
\(127\) | − | 1197.14i | − | 0.836449i | −0.908344 | − | 0.418225i | \(-0.862652\pi\) | ||
0.908344 | − | 0.418225i | \(-0.137348\pi\) | |||||||
\(128\) | − | 975.173i | − | 0.673390i | ||||||
\(129\) | 742.050 | 0.506464 | ||||||||
\(130\) | 802.744 | − | 762.816i | 0.541579 | − | 0.514641i | ||||
\(131\) | −321.647 | −0.214522 | −0.107261 | − | 0.994231i | \(-0.534208\pi\) | ||||
−0.107261 | + | 0.994231i | \(0.534208\pi\) | |||||||
\(132\) | 27.4218i | 0.0180815i | ||||||||
\(133\) | − | 2328.37i | − | 1.51801i | ||||||
\(134\) | 295.912 | 0.190768 | ||||||||
\(135\) | −207.942 | − | 218.827i | −0.132569 | − | 0.139508i | ||||
\(136\) | 423.322 | 0.266909 | ||||||||
\(137\) | 354.291i | 0.220942i | 0.993879 | + | 0.110471i | \(0.0352360\pi\) | ||||
−0.993879 | + | 0.110471i | \(0.964764\pi\) | |||||||
\(138\) | − | 253.256i | − | 0.156222i | ||||||
\(139\) | −77.2562 | −0.0471424 | −0.0235712 | − | 0.999722i | \(-0.507504\pi\) | ||||
−0.0235712 | + | 0.999722i | \(0.507504\pi\) | |||||||
\(140\) | −873.141 | − | 918.844i | −0.527099 | − | 0.554689i | ||||
\(141\) | 1153.63 | 0.689030 | ||||||||
\(142\) | 1011.21i | 0.597595i | ||||||||
\(143\) | 104.231i | 0.0609529i | ||||||||
\(144\) | −26.0578 | −0.0150798 | ||||||||
\(145\) | −2378.45 | + | 2260.14i | −1.36220 | + | 1.29445i | ||||
\(146\) | −544.893 | −0.308875 | ||||||||
\(147\) | 450.769i | 0.252917i | ||||||||
\(148\) | − | 101.503i | − | 0.0563752i | ||||||
\(149\) | 1705.38 | 0.937651 | 0.468826 | − | 0.883291i | \(-0.344677\pi\) | ||||
0.468826 | + | 0.883291i | \(0.344677\pi\) | |||||||
\(150\) | −32.5265 | + | 637.256i | −0.0177052 | + | 0.346878i | ||||
\(151\) | 758.281 | 0.408663 | 0.204331 | − | 0.978902i | \(-0.434498\pi\) | ||||
0.204331 | + | 0.978902i | \(0.434498\pi\) | |||||||
\(152\) | 2337.71i | 1.24746i | ||||||||
\(153\) | − | 170.859i | − | 0.0902821i | ||||||
\(154\) | −67.6689 | −0.0354086 | ||||||||
\(155\) | −522.094 | + | 496.125i | −0.270552 | + | 0.257095i | ||||
\(156\) | −891.422 | −0.457506 | ||||||||
\(157\) | − | 1769.05i | − | 0.899273i | −0.893212 | − | 0.449636i | \(-0.851554\pi\) | ||
0.893212 | − | 0.449636i | \(-0.148446\pi\) | |||||||
\(158\) | − | 1311.00i | − | 0.660111i | ||||||
\(159\) | −1390.58 | −0.693588 | ||||||||
\(160\) | 1411.80 | + | 1485.70i | 0.697581 | + | 0.734095i | ||||
\(161\) | −1101.86 | −0.539372 | ||||||||
\(162\) | − | 137.827i | − | 0.0668437i | ||||||
\(163\) | 881.719i | 0.423690i | 0.977303 | + | 0.211845i | \(0.0679473\pi\) | ||||
−0.977303 | + | 0.211845i | \(0.932053\pi\) | |||||||
\(164\) | −845.240 | −0.402452 | ||||||||
\(165\) | −41.3719 | − | 43.5374i | −0.0195200 | − | 0.0205417i | ||||
\(166\) | −295.944 | −0.138372 | ||||||||
\(167\) | − | 216.900i | − | 0.100504i | −0.998737 | − | 0.0502522i | \(-0.983997\pi\) | ||
0.998737 | − | 0.0502522i | \(-0.0160025\pi\) | |||||||
\(168\) | − | 1485.70i | − | 0.682289i | ||||||
\(169\) | −1191.33 | −0.542254 | ||||||||
\(170\) | −261.806 | + | 248.784i | −0.118116 | + | 0.112241i | ||||
\(171\) | 943.537 | 0.421954 | ||||||||
\(172\) | 1262.64i | 0.559742i | ||||||||
\(173\) | − | 4125.91i | − | 1.81322i | −0.421970 | − | 0.906610i | \(-0.638661\pi\) | ||
0.421970 | − | 0.906610i | \(-0.361339\pi\) | |||||||
\(174\) | −1498.05 | −0.652683 | ||||||||
\(175\) | 2772.56 | + | 141.515i | 1.19763 | + | 0.0611289i | ||||
\(176\) | −5.18443 | −0.00222040 | ||||||||
\(177\) | − | 221.372i | − | 0.0940075i | ||||||
\(178\) | 1733.93i | 0.730134i | ||||||||
\(179\) | 3213.14 | 1.34168 | 0.670842 | − | 0.741600i | \(-0.265933\pi\) | ||||
0.670842 | + | 0.741600i | \(0.265933\pi\) | |||||||
\(180\) | 372.347 | − | 353.827i | 0.154184 | − | 0.146515i | ||||
\(181\) | 3394.42 | 1.39395 | 0.696976 | − | 0.717095i | \(-0.254529\pi\) | ||||
0.696976 | + | 0.717095i | \(0.254529\pi\) | |||||||
\(182\) | − | 2199.77i | − | 0.895921i | ||||||
\(183\) | 412.050i | 0.166446i | ||||||||
\(184\) | 1106.28 | 0.443240 | ||||||||
\(185\) | 153.141 | + | 161.156i | 0.0608601 | + | 0.0640457i | ||||
\(186\) | −328.837 | −0.129632 | ||||||||
\(187\) | − | 33.9939i | − | 0.0132935i | ||||||
\(188\) | 1962.98i | 0.761514i | ||||||||
\(189\) | −599.653 | −0.230785 | ||||||||
\(190\) | −1373.86 | − | 1445.77i | −0.524581 | − | 0.552040i | ||||
\(191\) | −3467.49 | −1.31361 | −0.656804 | − | 0.754062i | \(-0.728092\pi\) | ||||
−0.656804 | + | 0.754062i | \(0.728092\pi\) | |||||||
\(192\) | 866.273i | 0.325614i | ||||||||
\(193\) | − | 1792.14i | − | 0.668401i | −0.942502 | − | 0.334200i | \(-0.891534\pi\) | ||
0.942502 | − | 0.334200i | \(-0.108466\pi\) | |||||||
\(194\) | 654.038 | 0.242047 | ||||||||
\(195\) | 1415.31 | − | 1344.91i | 0.519755 | − | 0.493902i | ||||
\(196\) | −767.011 | −0.279523 | ||||||||
\(197\) | 1678.19i | 0.606935i | 0.952842 | + | 0.303467i | \(0.0981443\pi\) | ||||
−0.952842 | + | 0.303467i | \(0.901856\pi\) | |||||||
\(198\) | − | 27.4218i | − | 0.00984233i | ||||||
\(199\) | −3108.23 | −1.10722 | −0.553610 | − | 0.832776i | \(-0.686750\pi\) | ||||
−0.553610 | + | 0.832776i | \(0.686750\pi\) | |||||||
\(200\) | −2783.68 | − | 142.083i | −0.984180 | − | 0.0502339i | ||||
\(201\) | 521.719 | 0.183081 | ||||||||
\(202\) | − | 58.6878i | − | 0.0204419i | ||||||
\(203\) | 6517.69i | 2.25346i | ||||||||
\(204\) | 290.728 | 0.0997795 | ||||||||
\(205\) | 1341.98 | − | 1275.23i | 0.457211 | − | 0.434469i | ||||
\(206\) | 2988.46 | 1.01076 | ||||||||
\(207\) | − | 446.512i | − | 0.149926i | ||||||
\(208\) | − | 168.534i | − | 0.0561815i | ||||||
\(209\) | 187.725 | 0.0621301 | ||||||||
\(210\) | 873.141 | + | 918.844i | 0.286916 | + | 0.301934i | ||||
\(211\) | −4473.27 | −1.45949 | −0.729745 | − | 0.683719i | \(-0.760361\pi\) | ||||
−0.729745 | + | 0.683719i | \(0.760361\pi\) | |||||||
\(212\) | − | 2366.17i | − | 0.766551i | ||||||
\(213\) | 1782.84i | 0.573514i | ||||||||
\(214\) | −2317.08 | −0.740151 | ||||||||
\(215\) | −1904.98 | − | 2004.69i | −0.604273 | − | 0.635902i | ||||
\(216\) | 602.058 | 0.189652 | ||||||||
\(217\) | 1430.70i | 0.447568i | ||||||||
\(218\) | 546.403i | 0.169757i | ||||||||
\(219\) | −960.694 | −0.296428 | ||||||||
\(220\) | 74.0816 | − | 70.3968i | 0.0227026 | − | 0.0215734i | ||||
\(221\) | 1105.07 | 0.336357 | ||||||||
\(222\) | 101.503i | 0.0306868i | ||||||||
\(223\) | 1753.42i | 0.526535i | 0.964723 | + | 0.263268i | \(0.0848003\pi\) | ||||
−0.964723 | + | 0.263268i | \(0.915200\pi\) | |||||||
\(224\) | 4071.29 | 1.21440 | ||||||||
\(225\) | −57.3469 | + | 1123.54i | −0.0169917 | + | 0.332900i | ||||
\(226\) | 2692.29 | 0.792427 | ||||||||
\(227\) | − | 936.900i | − | 0.273939i | −0.990575 | − | 0.136970i | \(-0.956264\pi\) | ||
0.990575 | − | 0.136970i | \(-0.0437363\pi\) | |||||||
\(228\) | 1605.49i | 0.466342i | ||||||||
\(229\) | 2582.06 | 0.745096 | 0.372548 | − | 0.928013i | \(-0.378484\pi\) | ||||
0.372548 | + | 0.928013i | \(0.378484\pi\) | |||||||
\(230\) | −684.187 | + | 650.156i | −0.196148 | + | 0.186391i | ||||
\(231\) | −119.306 | −0.0339817 | ||||||||
\(232\) | − | 6543.82i | − | 1.85182i | ||||||
\(233\) | − | 2295.01i | − | 0.645284i | −0.946521 | − | 0.322642i | \(-0.895429\pi\) | ||
0.946521 | − | 0.322642i | \(-0.104571\pi\) | |||||||
\(234\) | 891.422 | 0.249034 | ||||||||
\(235\) | −2961.59 | − | 3116.61i | −0.822096 | − | 0.865128i | ||||
\(236\) | 376.678 | 0.103897 | ||||||||
\(237\) | − | 2311.41i | − | 0.633510i | ||||||
\(238\) | 717.432i | 0.195396i | ||||||||
\(239\) | 2294.01 | 0.620866 | 0.310433 | − | 0.950595i | \(-0.399526\pi\) | ||||
0.310433 | + | 0.950595i | \(0.399526\pi\) | |||||||
\(240\) | 66.8953 | + | 70.3968i | 0.0179920 | + | 0.0189337i | ||||
\(241\) | 382.287 | 0.102180 | 0.0510898 | − | 0.998694i | \(-0.483731\pi\) | ||||
0.0510898 | + | 0.998694i | \(0.483731\pi\) | |||||||
\(242\) | 2259.32i | 0.600144i | ||||||||
\(243\) | − | 243.000i | − | 0.0641500i | ||||||
\(244\) | −701.128 | −0.183956 | ||||||||
\(245\) | 1217.78 | − | 1157.21i | 0.317555 | − | 0.301760i | ||||
\(246\) | 845.240 | 0.219067 | ||||||||
\(247\) | 6102.52i | 1.57204i | ||||||||
\(248\) | − | 1436.44i | − | 0.367798i | ||||||
\(249\) | −521.775 | −0.132796 | ||||||||
\(250\) | 1805.09 | − | 1548.08i | 0.456655 | − | 0.391638i | ||||
\(251\) | −2259.98 | −0.568322 | −0.284161 | − | 0.958777i | \(-0.591715\pi\) | ||||
−0.284161 | + | 0.958777i | \(0.591715\pi\) | |||||||
\(252\) | − | 1020.35i | − | 0.255063i | ||||||
\(253\) | − | 88.8375i | − | 0.0220758i | ||||||
\(254\) | −2037.01 | −0.503202 | ||||||||
\(255\) | −461.587 | + | 438.628i | −0.113356 | + | 0.107717i | ||||
\(256\) | −3969.38 | −0.969087 | ||||||||
\(257\) | − | 92.7843i | − | 0.0225203i | −0.999937 | − | 0.0112602i | \(-0.996416\pi\) | ||
0.999937 | − | 0.0112602i | \(-0.00358430\pi\) | |||||||
\(258\) | − | 1262.64i | − | 0.304685i | ||||||
\(259\) | 441.619 | 0.105949 | ||||||||
\(260\) | 2288.45 | + | 2408.23i | 0.545859 | + | 0.574431i | ||||
\(261\) | −2641.19 | −0.626382 | ||||||||
\(262\) | 547.302i | 0.129055i | ||||||||
\(263\) | 568.312i | 0.133246i | 0.997778 | + | 0.0666229i | \(0.0212224\pi\) | ||||
−0.997778 | + | 0.0666229i | \(0.978778\pi\) | |||||||
\(264\) | 119.785 | 0.0279251 | ||||||||
\(265\) | 3569.89 | + | 3756.75i | 0.827534 | + | 0.870850i | ||||
\(266\) | −3961.87 | −0.913226 | ||||||||
\(267\) | 3057.07i | 0.700711i | ||||||||
\(268\) | 887.737i | 0.202340i | ||||||||
\(269\) | −7582.41 | −1.71862 | −0.859309 | − | 0.511458i | \(-0.829106\pi\) | ||||
−0.859309 | + | 0.511458i | \(0.829106\pi\) | |||||||
\(270\) | −372.347 | + | 353.827i | −0.0839271 | + | 0.0797526i | ||||
\(271\) | 7943.69 | 1.78061 | 0.890304 | − | 0.455366i | \(-0.150492\pi\) | ||||
0.890304 | + | 0.455366i | \(0.150492\pi\) | |||||||
\(272\) | 54.9657i | 0.0122529i | ||||||||
\(273\) | − | 3878.38i | − | 0.859818i | ||||||
\(274\) | 602.847 | 0.132917 | ||||||||
\(275\) | −11.4097 | + | 223.537i | −0.00250192 | + | 0.0490175i | ||||
\(276\) | 759.769 | 0.165698 | ||||||||
\(277\) | 6823.00i | 1.47998i | 0.672618 | + | 0.739990i | \(0.265170\pi\) | ||||
−0.672618 | + | 0.739990i | \(0.734830\pi\) | |||||||
\(278\) | 131.456i | 0.0283605i | ||||||||
\(279\) | −579.769 | −0.124408 | ||||||||
\(280\) | −4013.72 | + | 3814.08i | −0.856663 | + | 0.814053i | ||||
\(281\) | 3315.86 | 0.703942 | 0.351971 | − | 0.936011i | \(-0.385512\pi\) | ||||
0.351971 | + | 0.936011i | \(0.385512\pi\) | |||||||
\(282\) | − | 1962.98i | − | 0.414516i | ||||||
\(283\) | − | 6602.76i | − | 1.38690i | −0.720504 | − | 0.693451i | \(-0.756090\pi\) | ||
0.720504 | − | 0.693451i | \(-0.243910\pi\) | |||||||
\(284\) | −3033.62 | −0.633846 | ||||||||
\(285\) | −2422.24 | − | 2549.02i | −0.503442 | − | 0.529794i | ||||
\(286\) | 177.356 | 0.0366688 | ||||||||
\(287\) | − | 3677.46i | − | 0.756353i | ||||||
\(288\) | 1649.83i | 0.337559i | ||||||||
\(289\) | 4552.59 | 0.926642 | ||||||||
\(290\) | 3845.77 | + | 4047.07i | 0.778730 | + | 0.819491i | ||||
\(291\) | 1153.12 | 0.232293 | ||||||||
\(292\) | − | 1634.68i | − | 0.327611i | ||||||
\(293\) | − | 5814.14i | − | 1.15927i | −0.814877 | − | 0.579634i | \(-0.803195\pi\) | ||
0.814877 | − | 0.579634i | \(-0.196805\pi\) | |||||||
\(294\) | 767.011 | 0.152153 | ||||||||
\(295\) | −598.050 | + | 568.303i | −0.118033 | + | 0.112162i | ||||
\(296\) | −443.390 | −0.0870660 | ||||||||
\(297\) | − | 48.3469i | − | 0.00944570i | ||||||
\(298\) | − | 2901.81i | − | 0.564084i | ||||||
\(299\) | 2887.91 | 0.558570 | ||||||||
\(300\) | −1911.77 | − | 97.5794i | −0.367920 | − | 0.0187792i | ||||
\(301\) | −5493.49 | −1.05196 | ||||||||
\(302\) | − | 1290.26i | − | 0.245849i | ||||||
\(303\) | − | 103.472i | − | 0.0196181i | ||||||
\(304\) | −303.537 | −0.0572667 | ||||||||
\(305\) | 1113.18 | − | 1057.81i | 0.208985 | − | 0.198590i | ||||
\(306\) | −290.728 | −0.0543131 | ||||||||
\(307\) | − | 8124.86i | − | 1.51046i | −0.655462 | − | 0.755229i | \(-0.727526\pi\) | ||
0.655462 | − | 0.755229i | \(-0.272474\pi\) | |||||||
\(308\) | − | 203.007i | − | 0.0375564i | ||||||
\(309\) | 5268.91 | 0.970025 | ||||||||
\(310\) | 844.187 | + | 888.375i | 0.154667 | + | 0.162762i | ||||
\(311\) | 7336.26 | 1.33762 | 0.668812 | − | 0.743432i | \(-0.266803\pi\) | ||||
0.668812 | + | 0.743432i | \(0.266803\pi\) | |||||||
\(312\) | 3893.93i | 0.706572i | ||||||||
\(313\) | 2202.66i | 0.397768i | 0.980023 | + | 0.198884i | \(0.0637318\pi\) | ||||
−0.980023 | + | 0.198884i | \(0.936268\pi\) | |||||||
\(314\) | −3010.15 | −0.540996 | ||||||||
\(315\) | 1539.42 | + | 1620.00i | 0.275354 | + | 0.289767i | ||||
\(316\) | 3933.00 | 0.700154 | ||||||||
\(317\) | 10008.9i | 1.77336i | 0.462386 | + | 0.886679i | \(0.346993\pi\) | ||||
−0.462386 | + | 0.886679i | \(0.653007\pi\) | |||||||
\(318\) | 2366.17i | 0.417258i | ||||||||
\(319\) | −525.488 | −0.0922309 | ||||||||
\(320\) | 2340.29 | − | 2223.89i | 0.408832 | − | 0.388497i | ||||
\(321\) | −4085.21 | −0.710325 | ||||||||
\(322\) | 1874.89i | 0.324483i | ||||||||
\(323\) | − | 1990.27i | − | 0.342854i | ||||||
\(324\) | 413.480 | 0.0708984 | ||||||||
\(325\) | −7266.71 | − | 370.903i | −1.24026 | − | 0.0633046i | ||||
\(326\) | 1500.30 | 0.254889 | ||||||||
\(327\) | 963.356i | 0.162917i | ||||||||
\(328\) | 3692.20i | 0.621548i | ||||||||
\(329\) | −8540.47 | −1.43116 | ||||||||
\(330\) | −74.0816 | + | 70.3968i | −0.0123578 | + | 0.0117431i | ||||
\(331\) | −8695.94 | −1.44402 | −0.722012 | − | 0.691881i | \(-0.756782\pi\) | ||||
−0.722012 | + | 0.691881i | \(0.756782\pi\) | |||||||
\(332\) | − | 887.832i | − | 0.146765i | ||||||
\(333\) | 178.959i | 0.0294502i | ||||||||
\(334\) | −369.069 | −0.0604627 | ||||||||
\(335\) | −1339.35 | − | 1409.46i | −0.218437 | − | 0.229871i | ||||
\(336\) | 192.909 | 0.0313216 | ||||||||
\(337\) | − | 7400.61i | − | 1.19625i | −0.801402 | − | 0.598126i | \(-0.795912\pi\) | ||
0.801402 | − | 0.598126i | \(-0.204088\pi\) | |||||||
\(338\) | 2027.12i | 0.326216i | ||||||||
\(339\) | 4746.74 | 0.760494 | ||||||||
\(340\) | −746.353 | − | 785.419i | −0.119049 | − | 0.125280i | ||||
\(341\) | −115.350 | −0.0183183 | ||||||||
\(342\) | − | 1605.49i | − | 0.253845i | ||||||
\(343\) | 4280.72i | 0.673869i | ||||||||
\(344\) | 5515.52 | 0.864467 | ||||||||
\(345\) | −1206.28 | + | 1146.28i | −0.188243 | + | 0.178880i | ||||
\(346\) | −7020.49 | −1.09082 | ||||||||
\(347\) | 7841.44i | 1.21311i | 0.795040 | + | 0.606557i | \(0.207450\pi\) | ||||
−0.795040 | + | 0.606557i | \(0.792550\pi\) | |||||||
\(348\) | − | 4494.15i | − | 0.692275i | ||||||
\(349\) | 4961.26 | 0.760946 | 0.380473 | − | 0.924792i | \(-0.375761\pi\) | ||||
0.380473 | + | 0.924792i | \(0.375761\pi\) | |||||||
\(350\) | 240.797 | − | 4717.69i | 0.0367748 | − | 0.720489i | ||||
\(351\) | 1571.65 | 0.238999 | ||||||||
\(352\) | 328.247i | 0.0497035i | ||||||||
\(353\) | 12163.0i | 1.83392i | 0.398981 | + | 0.916959i | \(0.369364\pi\) | ||||
−0.398981 | + | 0.916959i | \(0.630636\pi\) | |||||||
\(354\) | −376.678 | −0.0565543 | ||||||||
\(355\) | 4816.46 | − | 4576.89i | 0.720088 | − | 0.684271i | ||||
\(356\) | −5201.80 | −0.774424 | ||||||||
\(357\) | 1264.89i | 0.187522i | ||||||||
\(358\) | − | 5467.36i | − | 0.807148i | ||||||
\(359\) | −5193.79 | −0.763559 | −0.381779 | − | 0.924253i | \(-0.624689\pi\) | ||||
−0.381779 | + | 0.924253i | \(0.624689\pi\) | |||||||
\(360\) | −1545.60 | − | 1626.50i | −0.226278 | − | 0.238122i | ||||
\(361\) | 4131.90 | 0.602406 | ||||||||
\(362\) | − | 5775.81i | − | 0.838591i | ||||||
\(363\) | 3983.38i | 0.575959i | ||||||||
\(364\) | 6599.31 | 0.950268 | ||||||||
\(365\) | 2466.28 | + | 2595.37i | 0.353674 | + | 0.372187i | ||||
\(366\) | 701.128 | 0.100133 | ||||||||
\(367\) | − | 6086.09i | − | 0.865644i | −0.901479 | − | 0.432822i | \(-0.857518\pi\) | ||
0.901479 | − | 0.432822i | \(-0.142482\pi\) | |||||||
\(368\) | 143.644i | 0.0203477i | ||||||||
\(369\) | 1490.23 | 0.210239 | ||||||||
\(370\) | 274.218 | − | 260.578i | 0.0385295 | − | 0.0366130i | ||||
\(371\) | 10294.7 | 1.44063 | ||||||||
\(372\) | − | 986.512i | − | 0.137495i | ||||||
\(373\) | 10581.9i | 1.46893i | 0.678646 | + | 0.734466i | \(0.262567\pi\) | ||||
−0.678646 | + | 0.734466i | \(0.737433\pi\) | |||||||
\(374\) | −57.8428 | −0.00799727 | ||||||||
\(375\) | 3182.53 | − | 2729.40i | 0.438253 | − | 0.375856i | ||||
\(376\) | 8574.72 | 1.17608 | ||||||||
\(377\) | − | 17082.4i | − | 2.33366i | ||||||
\(378\) | 1020.35i | 0.138839i | ||||||||
\(379\) | −11655.2 | −1.57964 | −0.789822 | − | 0.613336i | \(-0.789827\pi\) | ||||
−0.789822 | + | 0.613336i | \(0.789827\pi\) | |||||||
\(380\) | 4337.32 | − | 4121.59i | 0.585526 | − | 0.556403i | ||||
\(381\) | −3591.42 | −0.482924 | ||||||||
\(382\) | 5900.16i | 0.790257i | ||||||||
\(383\) | − | 6364.97i | − | 0.849177i | −0.905387 | − | 0.424588i | \(-0.860419\pi\) | ||
0.905387 | − | 0.424588i | \(-0.139581\pi\) | |||||||
\(384\) | −2925.52 | −0.388782 | ||||||||
\(385\) | 306.281 | + | 322.313i | 0.0405442 | + | 0.0426665i | ||||
\(386\) | −3049.44 | −0.402105 | ||||||||
\(387\) | − | 2226.15i | − | 0.292407i | ||||||
\(388\) | 1962.11i | 0.256730i | ||||||||
\(389\) | −6134.33 | −0.799545 | −0.399773 | − | 0.916614i | \(-0.630911\pi\) | ||||
−0.399773 | + | 0.916614i | \(0.630911\pi\) | |||||||
\(390\) | −2288.45 | − | 2408.23i | −0.297128 | − | 0.312681i | ||||
\(391\) | −941.862 | −0.121821 | ||||||||
\(392\) | 3350.48i | 0.431696i | ||||||||
\(393\) | 964.941i | 0.123855i | ||||||||
\(394\) | 2855.55 | 0.365128 | ||||||||
\(395\) | −6244.41 | + | 5933.81i | −0.795418 | + | 0.755854i | ||||
\(396\) | 82.2653 | 0.0104394 | ||||||||
\(397\) | 9746.46i | 1.23214i | 0.787690 | + | 0.616072i | \(0.211277\pi\) | ||||
−0.787690 | + | 0.616072i | \(0.788723\pi\) | |||||||
\(398\) | 5288.85i | 0.666096i | ||||||||
\(399\) | −6985.12 | −0.876425 | ||||||||
\(400\) | 18.4486 | − | 361.444i | 0.00230607 | − | 0.0451805i | ||||
\(401\) | −1306.44 | −0.162695 | −0.0813474 | − | 0.996686i | \(-0.525922\pi\) | ||||
−0.0813474 | + | 0.996686i | \(0.525922\pi\) | |||||||
\(402\) | − | 887.737i | − | 0.110140i | ||||||
\(403\) | − | 3749.77i | − | 0.463498i | ||||||
\(404\) | 176.063 | 0.0216819 | ||||||||
\(405\) | −656.480 | + | 623.827i | −0.0805450 | + | 0.0765387i | ||||
\(406\) | 11090.2 | 1.35566 | ||||||||
\(407\) | 35.6055i | 0.00433636i | ||||||||
\(408\) | − | 1269.97i | − | 0.154100i | ||||||
\(409\) | 3876.93 | 0.468709 | 0.234354 | − | 0.972151i | \(-0.424702\pi\) | ||||
0.234354 | + | 0.972151i | \(0.424702\pi\) | |||||||
\(410\) | −2169.89 | − | 2283.47i | −0.261374 | − | 0.275055i | ||||
\(411\) | 1062.87 | 0.127561 | ||||||||
\(412\) | 8965.38i | 1.07207i | ||||||||
\(413\) | 1638.84i | 0.195260i | ||||||||
\(414\) | −759.769 | −0.0901947 | ||||||||
\(415\) | 1339.49 | + | 1409.61i | 0.158441 | + | 0.166735i | ||||
\(416\) | −10670.6 | −1.25762 | ||||||||
\(417\) | 231.769i | 0.0272177i | ||||||||
\(418\) | − | 319.426i | − | 0.0373771i | ||||||
\(419\) | 16022.5 | 1.86814 | 0.934071 | − | 0.357088i | \(-0.116230\pi\) | ||||
0.934071 | + | 0.357088i | \(0.116230\pi\) | |||||||
\(420\) | −2756.53 | + | 2619.42i | −0.320250 | + | 0.304321i | ||||
\(421\) | −8119.73 | −0.939980 | −0.469990 | − | 0.882672i | \(-0.655742\pi\) | ||||
−0.469990 | + | 0.882672i | \(0.655742\pi\) | |||||||
\(422\) | 7611.54i | 0.878019i | ||||||||
\(423\) | − | 3460.89i | − | 0.397812i | ||||||
\(424\) | −10336.0 | −1.18386 | ||||||||
\(425\) | 2369.96 | + | 120.966i | 0.270494 | + | 0.0138064i | ||||
\(426\) | 3033.62 | 0.345022 | ||||||||
\(427\) | − | 3050.46i | − | 0.345719i | ||||||
\(428\) | − | 6951.24i | − | 0.785049i | ||||||
\(429\) | 312.694 | 0.0351911 | ||||||||
\(430\) | −3411.11 | + | 3241.44i | −0.382554 | + | 0.363526i | ||||
\(431\) | −5713.99 | −0.638592 | −0.319296 | − | 0.947655i | \(-0.603446\pi\) | ||||
−0.319296 | + | 0.947655i | \(0.603446\pi\) | |||||||
\(432\) | 78.1735i | 0.00870630i | ||||||||
\(433\) | − | 6251.34i | − | 0.693811i | −0.937900 | − | 0.346906i | \(-0.887232\pi\) | ||
0.937900 | − | 0.346906i | \(-0.112768\pi\) | |||||||
\(434\) | 2434.42 | 0.269254 | ||||||||
\(435\) | 6780.43 | + | 7135.34i | 0.747349 | + | 0.786468i | ||||
\(436\) | −1639.21 | −0.180055 | ||||||||
\(437\) | − | 5201.25i | − | 0.569358i | ||||||
\(438\) | 1634.68i | 0.178329i | ||||||||
\(439\) | 4230.97 | 0.459984 | 0.229992 | − | 0.973192i | \(-0.426130\pi\) | ||||
0.229992 | + | 0.973192i | \(0.426130\pi\) | |||||||
\(440\) | −307.509 | − | 323.605i | −0.0333180 | − | 0.0350620i | ||||
\(441\) | 1352.31 | 0.146022 | ||||||||
\(442\) | − | 1880.34i | − | 0.202350i | ||||||
\(443\) | − | 6314.29i | − | 0.677203i | −0.940930 | − | 0.338601i | \(-0.890046\pi\) | ||
0.940930 | − | 0.338601i | \(-0.109954\pi\) | |||||||
\(444\) | −304.510 | −0.0325482 | ||||||||
\(445\) | 8258.88 | − | 7848.08i | 0.879794 | − | 0.836033i | ||||
\(446\) | 2983.55 | 0.316760 | ||||||||
\(447\) | − | 5116.13i | − | 0.541353i | ||||||
\(448\) | − | 6413.13i | − | 0.676321i | ||||||
\(449\) | 9349.71 | 0.982717 | 0.491358 | − | 0.870957i | \(-0.336501\pi\) | ||||
0.491358 | + | 0.870957i | \(0.336501\pi\) | |||||||
\(450\) | 1911.77 | + | 97.5794i | 0.200270 | + | 0.0102221i | ||||
\(451\) | 296.494 | 0.0309565 | ||||||||
\(452\) | 8076.87i | 0.840496i | ||||||||
\(453\) | − | 2274.84i | − | 0.235941i | ||||||
\(454\) | −1594.19 | −0.164800 | ||||||||
\(455\) | −10477.7 | + | 9956.53i | −1.07956 | + | 1.02587i | ||||
\(456\) | 7013.14 | 0.720220 | ||||||||
\(457\) | − | 9547.46i | − | 0.977268i | −0.872489 | − | 0.488634i | \(-0.837495\pi\) | ||
0.872489 | − | 0.488634i | \(-0.162505\pi\) | |||||||
\(458\) | − | 4393.53i | − | 0.448245i | ||||||
\(459\) | −512.578 | −0.0521244 | ||||||||
\(460\) | −1950.47 | − | 2052.56i | −0.197698 | − | 0.208046i | ||||
\(461\) | 6237.23 | 0.630145 | 0.315073 | − | 0.949068i | \(-0.397971\pi\) | ||||
0.315073 | + | 0.949068i | \(0.397971\pi\) | |||||||
\(462\) | 203.007i | 0.0204431i | ||||||||
\(463\) | − | 6469.98i | − | 0.649428i | −0.945812 | − | 0.324714i | \(-0.894732\pi\) | ||
0.945812 | − | 0.324714i | \(-0.105268\pi\) | |||||||
\(464\) | 849.675 | 0.0850111 | ||||||||
\(465\) | 1488.37 | + | 1566.28i | 0.148434 | + | 0.156203i | ||||
\(466\) | −3905.10 | −0.388198 | ||||||||
\(467\) | 7206.64i | 0.714097i | 0.934086 | + | 0.357049i | \(0.116217\pi\) | ||||
−0.934086 | + | 0.357049i | \(0.883783\pi\) | |||||||
\(468\) | 2674.27i | 0.264141i | ||||||||
\(469\) | −3862.35 | −0.380270 | ||||||||
\(470\) | −5303.10 | + | 5039.32i | −0.520455 | + | 0.494567i | ||||
\(471\) | −5307.16 | −0.519195 | ||||||||
\(472\) | − | 1645.42i | − | 0.160458i | ||||||
\(473\) | − | 442.912i | − | 0.0430552i | ||||||
\(474\) | −3933.00 | −0.381115 | ||||||||
\(475\) | −668.012 | + | 13087.6i | −0.0645274 | + | 1.26422i | ||||
\(476\) | −2152.29 | −0.207248 | ||||||||
\(477\) | 4171.75i | 0.400443i | ||||||||
\(478\) | − | 3903.39i | − | 0.373509i | ||||||
\(479\) | 10851.8 | 1.03514 | 0.517571 | − | 0.855640i | \(-0.326836\pi\) | ||||
0.517571 | + | 0.855640i | \(0.326836\pi\) | |||||||
\(480\) | 4457.11 | − | 4235.41i | 0.423830 | − | 0.402749i | ||||
\(481\) | −1157.46 | −0.109720 | ||||||||
\(482\) | − | 650.485i | − | 0.0614705i | ||||||
\(483\) | 3305.59i | 0.311407i | ||||||||
\(484\) | −6777.97 | −0.636549 | ||||||||
\(485\) | −2960.29 | − | 3115.24i | −0.277154 | − | 0.291661i | ||||
\(486\) | −413.480 | −0.0385922 | ||||||||
\(487\) | 12757.1i | 1.18702i | 0.804827 | + | 0.593510i | \(0.202258\pi\) | ||||
−0.804827 | + | 0.593510i | \(0.797742\pi\) | |||||||
\(488\) | 3062.69i | 0.284101i | ||||||||
\(489\) | 2645.16 | 0.244618 | ||||||||
\(490\) | −1969.06 | − | 2072.13i | −0.181537 | − | 0.191039i | ||||
\(491\) | −7016.52 | −0.644911 | −0.322455 | − | 0.946585i | \(-0.604508\pi\) | ||||
−0.322455 | + | 0.946585i | \(0.604508\pi\) | |||||||
\(492\) | 2535.72i | 0.232356i | ||||||||
\(493\) | 5571.26i | 0.508960i | ||||||||
\(494\) | 10383.8 | 0.945729 | ||||||||
\(495\) | −130.612 | + | 124.116i | −0.0118598 | + | 0.0112699i | ||||
\(496\) | 186.512 | 0.0168844 | ||||||||
\(497\) | − | 13198.6i | − | 1.19122i | ||||||
\(498\) | 887.832i | 0.0798890i | ||||||||
\(499\) | −11372.3 | −1.02023 | −0.510113 | − | 0.860107i | \(-0.670396\pi\) | ||||
−0.510113 | + | 0.860107i | \(0.670396\pi\) | |||||||
\(500\) | 4644.25 | + | 5415.27i | 0.415395 | + | 0.484356i | ||||
\(501\) | −650.700 | −0.0580262 | ||||||||
\(502\) | 3845.50i | 0.341899i | ||||||||
\(503\) | 5587.37i | 0.495285i | 0.968851 | + | 0.247643i | \(0.0796559\pi\) | ||||
−0.968851 | + | 0.247643i | \(0.920344\pi\) | |||||||
\(504\) | −4457.11 | −0.393919 | ||||||||
\(505\) | −279.535 | + | 265.631i | −0.0246320 | + | 0.0234068i | ||||
\(506\) | −151.163 | −0.0132806 | ||||||||
\(507\) | 3573.99i | 0.313070i | ||||||||
\(508\) | − | 6111.03i | − | 0.533726i | ||||||
\(509\) | −16256.7 | −1.41565 | −0.707825 | − | 0.706388i | \(-0.750324\pi\) | ||||
−0.707825 | + | 0.706388i | \(0.750324\pi\) | |||||||
\(510\) | 746.353 | + | 785.419i | 0.0648021 | + | 0.0681940i | ||||
\(511\) | 7112.14 | 0.615699 | ||||||||
\(512\) | − | 1047.24i | − | 0.0903943i | ||||||
\(513\) | − | 2830.61i | − | 0.243615i | ||||||
\(514\) | −157.878 | −0.0135481 | ||||||||
\(515\) | −13526.3 | − | 14234.3i | −1.15736 | − | 1.21794i | ||||
\(516\) | 3787.93 | 0.323167 | ||||||||
\(517\) | − | 688.574i | − | 0.0585754i | ||||||
\(518\) | − | 751.442i | − | 0.0637384i | ||||||
\(519\) | −12377.7 | −1.04686 | ||||||||
\(520\) | 10519.7 | − | 9996.46i | 0.887153 | − | 0.843026i | ||||
\(521\) | 19748.4 | 1.66064 | 0.830320 | − | 0.557286i | \(-0.188157\pi\) | ||||
0.830320 | + | 0.557286i | \(0.188157\pi\) | |||||||
\(522\) | 4494.15i | 0.376827i | ||||||||
\(523\) | 7843.44i | 0.655774i | 0.944717 | + | 0.327887i | \(0.106337\pi\) | ||||
−0.944717 | + | 0.327887i | \(0.893663\pi\) | |||||||
\(524\) | −1641.91 | −0.136884 | ||||||||
\(525\) | 424.546 | − | 8317.69i | 0.0352928 | − | 0.691455i | ||||
\(526\) | 967.019 | 0.0801597 | ||||||||
\(527\) | 1222.95i | 0.101086i | ||||||||
\(528\) | 15.5533i | 0.00128195i | ||||||||
\(529\) | 9705.60 | 0.797699 | ||||||||
\(530\) | 6392.34 | − | 6074.39i | 0.523897 | − | 0.497839i | ||||
\(531\) | −664.116 | −0.0542753 | ||||||||
\(532\) | − | 11885.6i | − | 0.968622i | ||||||
\(533\) | 9638.38i | 0.783273i | ||||||||
\(534\) | 5201.80 | 0.421543 | ||||||||
\(535\) | 10487.5 | + | 11036.5i | 0.847504 | + | 0.891865i | ||||
\(536\) | 3877.84 | 0.312495 | ||||||||
\(537\) | − | 9639.42i | − | 0.774622i | ||||||
\(538\) | 12902.0i | 1.03391i | ||||||||
\(539\) | 269.053 | 0.0215008 | ||||||||
\(540\) | −1061.48 | − | 1117.04i | −0.0845904 | − | 0.0890181i | ||||
\(541\) | 7383.29 | 0.586751 | 0.293376 | − | 0.955997i | \(-0.405221\pi\) | ||||
0.293376 | + | 0.955997i | \(0.405221\pi\) | |||||||
\(542\) | − | 13516.7i | − | 1.07120i | ||||||
\(543\) | − | 10183.3i | − | 0.804798i | ||||||
\(544\) | 3480.10 | 0.274280 | ||||||||
\(545\) | 2602.57 | − | 2473.12i | 0.204554 | − | 0.194379i | ||||
\(546\) | −6599.31 | −0.517260 | ||||||||
\(547\) | − | 3354.90i | − | 0.262240i | −0.991367 | − | 0.131120i | \(-0.958143\pi\) | ||
0.991367 | − | 0.131120i | \(-0.0418573\pi\) | |||||||
\(548\) | 1808.54i | 0.140980i | ||||||||
\(549\) | 1236.15 | 0.0960976 | ||||||||
\(550\) | 380.363 | + | 19.4143i | 0.0294886 | + | 0.00150514i | ||||
\(551\) | −30766.2 | −2.37874 | ||||||||
\(552\) | − | 3318.84i | − | 0.255905i | ||||||
\(553\) | 17111.6i | 1.31584i | ||||||||
\(554\) | 11609.8 | 0.890346 | ||||||||
\(555\) | 483.469 | − | 459.422i | 0.0369768 | − | 0.0351376i | ||||
\(556\) | −394.369 | −0.0300809 | ||||||||
\(557\) | 20771.8i | 1.58012i | 0.613028 | + | 0.790061i | \(0.289951\pi\) | ||||
−0.613028 | + | 0.790061i | \(0.710049\pi\) | |||||||
\(558\) | 986.512i | 0.0748430i | ||||||||
\(559\) | 14398.1 | 1.08940 | ||||||||
\(560\) | −495.234 | − | 521.156i | −0.0373705 | − | 0.0393266i | ||||
\(561\) | −101.982 | −0.00767500 | ||||||||
\(562\) | − | 5642.15i | − | 0.423487i | ||||||
\(563\) | − | 7194.86i | − | 0.538592i | −0.963057 | − | 0.269296i | \(-0.913209\pi\) | ||
0.963057 | − | 0.269296i | \(-0.0867910\pi\) | |||||||
\(564\) | 5888.93 | 0.439660 | ||||||||
\(565\) | −12185.8 | − | 12823.6i | −0.907361 | − | 0.954856i | ||||
\(566\) | −11235.0 | −0.834350 | ||||||||
\(567\) | 1798.96i | 0.133244i | ||||||||
\(568\) | 13251.5i | 0.978913i | ||||||||
\(569\) | −11549.5 | −0.850931 | −0.425466 | − | 0.904975i | \(-0.639890\pi\) | ||||
−0.425466 | + | 0.904975i | \(0.639890\pi\) | |||||||
\(570\) | −4337.32 | + | 4121.59i | −0.318720 | + | 0.302867i | ||||
\(571\) | 1482.54 | 0.108655 | 0.0543277 | − | 0.998523i | \(-0.482698\pi\) | ||||
0.0543277 | + | 0.998523i | \(0.482698\pi\) | |||||||
\(572\) | 532.068i | 0.0388932i | ||||||||
\(573\) | 10402.5i | 0.758412i | ||||||||
\(574\) | −6257.42 | −0.455017 | ||||||||
\(575\) | 6193.50 | + | 316.125i | 0.449194 | + | 0.0229275i | ||||
\(576\) | 2598.82 | 0.187993 | ||||||||
\(577\) | − | 15264.0i | − | 1.10130i | −0.834737 | − | 0.550649i | \(-0.814380\pi\) | ||
0.834737 | − | 0.550649i | \(-0.185620\pi\) | |||||||
\(578\) | − | 7746.52i | − | 0.557462i | ||||||
\(579\) | −5376.43 | −0.385901 | ||||||||
\(580\) | −12141.2 | + | 11537.3i | −0.869202 | + | 0.825968i | ||||
\(581\) | 3862.76 | 0.275825 | ||||||||
\(582\) | − | 1962.11i | − | 0.139746i | ||||||
\(583\) | 830.006i | 0.0589628i | ||||||||
\(584\) | −7140.66 | −0.505963 | ||||||||
\(585\) | −4034.73 | − | 4245.92i | −0.285155 | − | 0.300081i | ||||
\(586\) | −9893.12 | −0.697408 | ||||||||
\(587\) | 1736.89i | 0.122128i | 0.998134 | + | 0.0610639i | \(0.0194493\pi\) | ||||
−0.998134 | + | 0.0610639i | \(0.980551\pi\) | |||||||
\(588\) | 2301.03i | 0.161383i | ||||||||
\(589\) | −6753.50 | −0.472450 | ||||||||
\(590\) | 967.003 | + | 1017.62i | 0.0674761 | + | 0.0710080i | ||||
\(591\) | 5034.57 | 0.350414 | ||||||||
\(592\) | − | 57.5714i | − | 0.00399691i | ||||||
\(593\) | 11764.8i | 0.814707i | 0.913271 | + | 0.407353i | \(0.133548\pi\) | ||||
−0.913271 | + | 0.407353i | \(0.866452\pi\) | |||||||
\(594\) | −82.2653 | −0.00568247 | ||||||||
\(595\) | 3417.19 | − | 3247.22i | 0.235447 | − | 0.223736i | ||||
\(596\) | 8705.42 | 0.598302 | ||||||||
\(597\) | 9324.69i | 0.639253i | ||||||||
\(598\) | − | 4913.96i | − | 0.336032i | ||||||
\(599\) | 9451.99 | 0.644737 | 0.322369 | − | 0.946614i | \(-0.395521\pi\) | ||||
0.322369 | + | 0.946614i | \(0.395521\pi\) | |||||||
\(600\) | −426.249 | + | 8351.04i | −0.0290026 | + | 0.568217i | ||||
\(601\) | −3131.93 | −0.212569 | −0.106285 | − | 0.994336i | \(-0.533895\pi\) | ||||
−0.106285 | + | 0.994336i | \(0.533895\pi\) | |||||||
\(602\) | 9347.51i | 0.632851i | ||||||||
\(603\) | − | 1565.16i | − | 0.105702i | ||||||
\(604\) | 3870.79 | 0.260762 | ||||||||
\(605\) | 10761.4 | − | 10226.1i | 0.723159 | − | 0.687189i | ||||
\(606\) | −176.063 | −0.0118021 | ||||||||
\(607\) | 22700.8i | 1.51795i | 0.651120 | + | 0.758975i | \(0.274300\pi\) | ||||
−0.651120 | + | 0.758975i | \(0.725700\pi\) | |||||||
\(608\) | 19218.2i | 1.28191i | ||||||||
\(609\) | 19553.1 | 1.30103 | ||||||||
\(610\) | −1799.93 | − | 1894.14i | −0.119470 | − | 0.125724i | ||||
\(611\) | 22384.0 | 1.48210 | ||||||||
\(612\) | − | 872.184i | − | 0.0576077i | ||||||
\(613\) | − | 28911.6i | − | 1.90494i | −0.304629 | − | 0.952471i | \(-0.598532\pi\) | ||
0.304629 | − | 0.952471i | \(-0.401468\pi\) | |||||||
\(614\) | −13825.0 | −0.908681 | ||||||||
\(615\) | −3825.70 | − | 4025.95i | −0.250841 | − | 0.263971i | ||||
\(616\) | −886.780 | −0.0580023 | ||||||||
\(617\) | − | 5566.87i | − | 0.363231i | −0.983370 | − | 0.181616i | \(-0.941867\pi\) | ||
0.983370 | − | 0.181616i | \(-0.0581326\pi\) | |||||||
\(618\) | − | 8965.38i | − | 0.583560i | ||||||
\(619\) | −4150.32 | −0.269492 | −0.134746 | − | 0.990880i | \(-0.543022\pi\) | ||||
−0.134746 | + | 0.990880i | \(0.543022\pi\) | |||||||
\(620\) | −2665.12 | + | 2532.56i | −0.172635 | + | 0.164049i | ||||
\(621\) | −1339.54 | −0.0865600 | ||||||||
\(622\) | − | 12483.1i | − | 0.804705i | ||||||
\(623\) | − | 22631.9i | − | 1.45542i | ||||||
\(624\) | −505.603 | −0.0324364 | ||||||||
\(625\) | −15543.8 | − | 1590.90i | −0.994803 | − | 0.101818i | ||||
\(626\) | 3747.96 | 0.239295 | ||||||||
\(627\) | − | 563.175i | − | 0.0358709i | ||||||
\(628\) | − | 9030.46i | − | 0.573813i | ||||||
\(629\) | 377.492 | 0.0239294 | ||||||||
\(630\) | 2756.53 | − | 2619.42i | 0.174322 | − | 0.165651i | ||||
\(631\) | −4090.09 | −0.258041 | −0.129021 | − | 0.991642i | \(-0.541183\pi\) | ||||
−0.129021 | + | 0.991642i | \(0.541183\pi\) | |||||||
\(632\) | − | 17180.2i | − | 1.08132i | ||||||
\(633\) | 13419.8i | 0.842637i | ||||||||
\(634\) | 17030.7 | 1.06684 | ||||||||
\(635\) | 9219.85 | + | 9702.45i | 0.576187 | + | 0.606346i | ||||
\(636\) | −7098.50 | −0.442569 | ||||||||
\(637\) | 8746.32i | 0.544022i | ||||||||
\(638\) | 894.150i | 0.0554855i | ||||||||
\(639\) | 5348.53 | 0.331118 | ||||||||
\(640\) | 7510.36 | + | 7903.47i | 0.463864 | + | 0.488144i | ||||
\(641\) | 3909.35 | 0.240890 | 0.120445 | − | 0.992720i | \(-0.461568\pi\) | ||||
0.120445 | + | 0.992720i | \(0.461568\pi\) | |||||||
\(642\) | 6951.24i | 0.427327i | ||||||||
\(643\) | − | 30539.5i | − | 1.87303i | −0.350624 | − | 0.936516i | \(-0.614031\pi\) | ||
0.350624 | − | 0.936516i | \(-0.385969\pi\) | |||||||
\(644\) | −5624.66 | −0.344166 | ||||||||
\(645\) | −6014.08 | + | 5714.94i | −0.367138 | + | 0.348877i | ||||
\(646\) | −3386.58 | −0.206259 | ||||||||
\(647\) | − | 12707.7i | − | 0.772167i | −0.922464 | − | 0.386083i | \(-0.873828\pi\) | ||
0.922464 | − | 0.386083i | \(-0.126172\pi\) | |||||||
\(648\) | − | 1806.17i | − | 0.109496i | ||||||
\(649\) | −132.132 | −0.00799170 | ||||||||
\(650\) | −631.115 | + | 12364.8i | −0.0380836 | + | 0.746132i | ||||
\(651\) | 4292.10 | 0.258403 | ||||||||
\(652\) | 4500.90i | 0.270351i | ||||||||
\(653\) | − | 12777.6i | − | 0.765737i | −0.923803 | − | 0.382869i | \(-0.874936\pi\) | ||
0.923803 | − | 0.382869i | \(-0.125064\pi\) | |||||||
\(654\) | 1639.21 | 0.0980095 | ||||||||
\(655\) | 2606.85 | − | 2477.18i | 0.155508 | − | 0.147773i | ||||
\(656\) | −479.410 | −0.0285332 | ||||||||
\(657\) | 2882.08i | 0.171143i | ||||||||
\(658\) | 14532.1i | 0.860976i | ||||||||
\(659\) | −23563.5 | −1.39287 | −0.696435 | − | 0.717620i | \(-0.745232\pi\) | ||||
−0.696435 | + | 0.717620i | \(0.745232\pi\) | |||||||
\(660\) | −211.190 | − | 222.245i | −0.0124554 | − | 0.0131074i | ||||
\(661\) | −4361.31 | −0.256634 | −0.128317 | − | 0.991733i | \(-0.540958\pi\) | ||||
−0.128317 | + | 0.991733i | \(0.540958\pi\) | |||||||
\(662\) | 14796.7i | 0.868715i | ||||||||
\(663\) | − | 3315.21i | − | 0.194196i | ||||||
\(664\) | −3878.25 | −0.226665 | ||||||||
\(665\) | 17932.1 | + | 18870.7i | 1.04568 | + | 1.10042i | ||||
\(666\) | 304.510 | 0.0177170 | ||||||||
\(667\) | 14559.6i | 0.845200i | ||||||||
\(668\) | − | 1107.21i | − | 0.0641304i | ||||||
\(669\) | 5260.25 | 0.303995 | ||||||||
\(670\) | −2398.28 | + | 2278.99i | −0.138289 | + | 0.131410i | ||||
\(671\) | 245.943 | 0.0141498 | ||||||||
\(672\) | − | 12213.9i | − | 0.701131i | ||||||
\(673\) | 8203.52i | 0.469870i | 0.972011 | + | 0.234935i | \(0.0754877\pi\) | ||||
−0.972011 | + | 0.234935i | \(0.924512\pi\) | |||||||
\(674\) | −12592.6 | −0.719657 | ||||||||
\(675\) | 3370.61 | + | 172.041i | 0.192200 | + | 0.00981015i | ||||
\(676\) | −6081.37 | −0.346004 | ||||||||
\(677\) | 28057.1i | 1.59279i | 0.604774 | + | 0.796397i | \(0.293263\pi\) | ||||
−0.604774 | + | 0.796397i | \(0.706737\pi\) | |||||||
\(678\) | − | 8076.87i | − | 0.457508i | ||||||
\(679\) | −8536.73 | −0.482488 | ||||||||
\(680\) | −3430.89 | + | 3260.24i | −0.193483 | + | 0.183860i | ||||
\(681\) | −2810.70 | −0.158159 | ||||||||
\(682\) | 196.275i | 0.0110202i | ||||||||
\(683\) | 3344.62i | 0.187377i | 0.995602 | + | 0.0936885i | \(0.0298658\pi\) | ||||
−0.995602 | + | 0.0936885i | \(0.970134\pi\) | |||||||
\(684\) | 4816.46 | 0.269243 | ||||||||
\(685\) | −2728.59 | − | 2871.41i | −0.152196 | − | 0.160162i | ||||
\(686\) | 7283.91 | 0.405395 | ||||||||
\(687\) | − | 7746.17i | − | 0.430182i | ||||||
\(688\) | 716.156i | 0.0396849i | ||||||||
\(689\) | −26981.7 | −1.49190 | ||||||||
\(690\) | 1950.47 | + | 2052.56i | 0.107613 | + | 0.113246i | ||||
\(691\) | 12964.8 | 0.713757 | 0.356879 | − | 0.934151i | \(-0.383841\pi\) | ||||
0.356879 | + | 0.934151i | \(0.383841\pi\) | |||||||
\(692\) | − | 21061.5i | − | 1.15699i | ||||||
\(693\) | 357.918i | 0.0196193i | ||||||||
\(694\) | 13342.7 | 0.729801 | ||||||||
\(695\) | 626.138 | − | 594.994i | 0.0341737 | − | 0.0324740i | ||||
\(696\) | −19631.5 | −1.06915 | ||||||||
\(697\) | − | 3143.46i | − | 0.170828i | ||||||
\(698\) | − | 8441.90i | − | 0.457780i | ||||||
\(699\) | −6885.03 | −0.372555 | ||||||||
\(700\) | 14153.1 | + | 722.392i | 0.764193 | + | 0.0390055i | ||||
\(701\) | −16162.1 | −0.870806 | −0.435403 | − | 0.900236i | \(-0.643394\pi\) | ||||
−0.435403 | + | 0.900236i | \(0.643394\pi\) | |||||||
\(702\) | − | 2674.27i | − | 0.143780i | ||||||
\(703\) | 2084.63i | 0.111839i | ||||||||
\(704\) | 517.058 | 0.0276809 | ||||||||
\(705\) | −9349.82 | + | 8884.76i | −0.499482 | + | 0.474638i | ||||
\(706\) | 20696.2 | 1.10327 | ||||||||
\(707\) | 766.014i | 0.0407481i | ||||||||
\(708\) | − | 1130.03i | − | 0.0599849i | ||||||
\(709\) | 14244.4 | 0.754529 | 0.377265 | − | 0.926105i | \(-0.376865\pi\) | ||||
0.377265 | + | 0.926105i | \(0.376865\pi\) | |||||||
\(710\) | −7787.87 | − | 8195.51i | −0.411653 | − | 0.433200i | ||||
\(711\) | −6934.22 | −0.365757 | ||||||||
\(712\) | 22722.7i | 1.19602i | ||||||||
\(713\) | 3195.97i | 0.167868i | ||||||||
\(714\) | 2152.29 | 0.112812 | ||||||||
\(715\) | −802.744 | − | 844.762i | −0.0419873 | − | 0.0441850i | ||||
\(716\) | 16402.1 | 0.856109 | ||||||||
\(717\) | − | 6882.02i | − | 0.358457i | ||||||
\(718\) | 8837.55i | 0.459352i | ||||||||
\(719\) | 27638.5 | 1.43358 | 0.716790 | − | 0.697289i | \(-0.245611\pi\) | ||||
0.716790 | + | 0.697289i | \(0.245611\pi\) | |||||||
\(720\) | 211.190 | − | 200.686i | 0.0109314 | − | 0.0103877i | ||||
\(721\) | −39006.4 | −2.01480 | ||||||||
\(722\) | − | 7030.68i | − | 0.362403i | ||||||
\(723\) | − | 1146.86i | − | 0.0589934i | ||||||
\(724\) | 17327.4 | 0.889460 | ||||||||
\(725\) | 1869.93 | − | 36635.5i | 0.0957895 | − | 1.87670i | ||||
\(726\) | 6777.97 | 0.346493 | ||||||||
\(727\) | − | 2525.52i | − | 0.128840i | −0.997923 | − | 0.0644199i | \(-0.979480\pi\) | ||
0.997923 | − | 0.0644199i | \(-0.0205197\pi\) | |||||||
\(728\) | − | 28827.3i | − | 1.46760i | ||||||
\(729\) | −729.000 | −0.0370370 | ||||||||
\(730\) | 4416.19 | − | 4196.53i | 0.223905 | − | 0.212768i | ||||
\(731\) | −4695.79 | −0.237592 | ||||||||
\(732\) | 2103.39i | 0.106207i | ||||||||
\(733\) | 8400.27i | 0.423289i | 0.977347 | + | 0.211645i | \(0.0678820\pi\) | ||||
−0.977347 | + | 0.211645i | \(0.932118\pi\) | |||||||
\(734\) | −10355.9 | −0.520765 | ||||||||
\(735\) | −3471.62 | − | 3653.34i | −0.174221 | − | 0.183341i | ||||
\(736\) | 9094.67 | 0.455481 | ||||||||
\(737\) | − | 311.401i | − | 0.0155639i | ||||||
\(738\) | − | 2535.72i | − | 0.126479i | ||||||
\(739\) | 19689.1 | 0.980074 | 0.490037 | − | 0.871702i | \(-0.336983\pi\) | ||||
0.490037 | + | 0.871702i | \(0.336983\pi\) | |||||||
\(740\) | 781.735 | + | 822.653i | 0.0388340 | + | 0.0408667i | ||||
\(741\) | 18307.6 | 0.907619 | ||||||||
\(742\) | − | 17517.0i | − | 0.866671i | ||||||
\(743\) | 22526.6i | 1.11227i | 0.831091 | + | 0.556137i | \(0.187717\pi\) | ||||
−0.831091 | + | 0.556137i | \(0.812283\pi\) | |||||||
\(744\) | −4309.31 | −0.212348 | ||||||||
\(745\) | −13821.6 | + | 13134.1i | −0.679708 | + | 0.645900i | ||||
\(746\) | 18005.8 | 0.883699 | ||||||||
\(747\) | 1565.32i | 0.0766696i | ||||||||
\(748\) | − | 173.528i | − | 0.00848239i | ||||||
\(749\) | 30243.3 | 1.47539 | ||||||||
\(750\) | −4644.25 | − | 5415.27i | −0.226112 | − | 0.263650i | ||||
\(751\) | 34691.1 | 1.68562 | 0.842808 | − | 0.538215i | \(-0.180901\pi\) | ||||
0.842808 | + | 0.538215i | \(0.180901\pi\) | |||||||
\(752\) | 1113.37i | 0.0539902i | ||||||||
\(753\) | 6779.95i | 0.328121i | ||||||||
\(754\) | −29066.8 | −1.40392 | ||||||||
\(755\) | −6145.63 | + | 5839.95i | −0.296242 | + | 0.281507i | ||||
\(756\) | −3061.04 | −0.147261 | ||||||||
\(757\) | 6619.98i | 0.317843i | 0.987291 | + | 0.158922i | \(0.0508017\pi\) | ||||
−0.987291 | + | 0.158922i | \(0.949198\pi\) | |||||||
\(758\) | 19832.0i | 0.950303i | ||||||||
\(759\) | −266.512 | −0.0127454 | ||||||||
\(760\) | −18004.0 | − | 18946.4i | −0.859309 | − | 0.904288i | ||||
\(761\) | −29368.7 | −1.39897 | −0.699483 | − | 0.714649i | \(-0.746586\pi\) | ||||
−0.699483 | + | 0.714649i | \(0.746586\pi\) | |||||||
\(762\) | 6111.03i | 0.290524i | ||||||||
\(763\) | − | 7131.84i | − | 0.338388i | ||||||
\(764\) | −17700.5 | −0.838194 | ||||||||
\(765\) | 1315.88 | + | 1384.76i | 0.0621907 | + | 0.0654460i | ||||
\(766\) | −10830.4 | −0.510859 | ||||||||
\(767\) | − | 4295.31i | − | 0.202209i | ||||||
\(768\) | 11908.1i | 0.559503i | ||||||||
\(769\) | −32677.4 | −1.53235 | −0.766174 | − | 0.642633i | \(-0.777842\pi\) | ||||
−0.766174 | + | 0.642633i | \(0.777842\pi\) | |||||||
\(770\) | 548.435 | − | 521.156i | 0.0256678 | − | 0.0243911i | ||||
\(771\) | −278.353 | −0.0130021 | ||||||||
\(772\) | − | 9148.33i | − | 0.426497i | ||||||
\(773\) | 28047.5i | 1.30504i | 0.757770 | + | 0.652522i | \(0.226289\pi\) | ||||
−0.757770 | + | 0.652522i | \(0.773711\pi\) | |||||||
\(774\) | −3787.93 | −0.175910 | ||||||||
\(775\) | 410.469 | − | 8041.87i | 0.0190251 | − | 0.372739i | ||||
\(776\) | 8570.96 | 0.396494 | ||||||||
\(777\) | − | 1324.86i | − | 0.0611699i | ||||||
\(778\) | 10438.0i | 0.481001i |