Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [197,3,Mod(14,197)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(197, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("197.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 197 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 197.c (of order \(4\), degree \(2\), 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: | \(5.36786120790\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 14.17 | ||
Character | \(\chi\) | \(=\) | 197.14 |
Dual form | 197.3.c.a.183.17 |
$q$-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 \(\left(\mathbb{Z}/197\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.00732944 | + | 0.00732944i | −0.00366472 | + | 0.00366472i | −0.708937 | − | 0.705272i | \(-0.750825\pi\) |
0.705272 | + | 0.708937i | \(0.250825\pi\) | |||||||
\(3\) | 0.226886 | − | 0.226886i | 0.0756285 | − | 0.0756285i | −0.668281 | − | 0.743909i | \(-0.732969\pi\) |
0.743909 | + | 0.668281i | \(0.232969\pi\) | |||||||
\(4\) | 3.99989i | 0.999973i | ||||||||
\(5\) | −2.04970 | + | 2.04970i | −0.409939 | + | 0.409939i | −0.881717 | − | 0.471778i | \(-0.843612\pi\) |
0.471778 | + | 0.881717i | \(0.343612\pi\) | |||||||
\(6\) | 0.00332589i | 0.000554315i | ||||||||
\(7\) | − | 5.87781i | − | 0.839687i | −0.907597 | − | 0.419843i | \(-0.862085\pi\) | ||
0.907597 | − | 0.419843i | \(-0.137915\pi\) | |||||||
\(8\) | −0.0586348 | − | 0.0586348i | −0.00732935 | − | 0.00732935i | ||||
\(9\) | 8.89705i | 0.988561i | ||||||||
\(10\) | − | 0.0300462i | − | 0.00300462i | ||||||
\(11\) | −5.65729 | + | 5.65729i | −0.514299 | + | 0.514299i | −0.915841 | − | 0.401542i | \(-0.868474\pi\) |
0.401542 | + | 0.915841i | \(0.368474\pi\) | |||||||
\(12\) | 0.907518 | + | 0.907518i | 0.0756265 | + | 0.0756265i | ||||
\(13\) | −5.84645 | + | 5.84645i | −0.449727 | + | 0.449727i | −0.895264 | − | 0.445537i | \(-0.853013\pi\) |
0.445537 | + | 0.895264i | \(0.353013\pi\) | |||||||
\(14\) | 0.0430811 | + | 0.0430811i | 0.00307722 | + | 0.00307722i | ||||
\(15\) | 0.930093i | 0.0620062i | ||||||||
\(16\) | −15.9987 | −0.999919 | ||||||||
\(17\) | −2.92822 | − | 2.92822i | −0.172248 | − | 0.172248i | 0.615718 | − | 0.787966i | \(-0.288866\pi\) |
−0.787966 | + | 0.615718i | \(0.788866\pi\) | |||||||
\(18\) | −0.0652104 | − | 0.0652104i | −0.00362280 | − | 0.00362280i | ||||
\(19\) | 11.3486i | 0.597296i | 0.954363 | + | 0.298648i | \(0.0965357\pi\) | ||||
−0.954363 | + | 0.298648i | \(0.903464\pi\) | |||||||
\(20\) | −8.19856 | − | 8.19856i | −0.409928 | − | 0.409928i | ||||
\(21\) | −1.33359 | − | 1.33359i | −0.0635043 | − | 0.0635043i | ||||
\(22\) | − | 0.0829295i | − | 0.00376952i | ||||||
\(23\) | −21.0549 | −0.915429 | −0.457714 | − | 0.889099i | \(-0.651332\pi\) | ||||
−0.457714 | + | 0.889099i | \(0.651332\pi\) | |||||||
\(24\) | −0.0266068 | −0.00110862 | ||||||||
\(25\) | 16.5975i | 0.663900i | ||||||||
\(26\) | − | 0.0857025i | − | 0.00329625i | ||||||
\(27\) | 4.06058 | + | 4.06058i | 0.150392 | + | 0.150392i | ||||
\(28\) | 23.5106 | 0.839664 | ||||||||
\(29\) | 33.7493 | 1.16377 | 0.581884 | − | 0.813271i | \(-0.302316\pi\) | ||||
0.581884 | + | 0.813271i | \(0.302316\pi\) | |||||||
\(30\) | −0.00681706 | − | 0.00681706i | −0.000227235 | − | 0.000227235i | ||||
\(31\) | −10.5120 | + | 10.5120i | −0.339097 | + | 0.339097i | −0.856028 | − | 0.516930i | \(-0.827075\pi\) |
0.516930 | + | 0.856028i | \(0.327075\pi\) | |||||||
\(32\) | 0.351801 | − | 0.351801i | 0.0109938 | − | 0.0109938i | ||||
\(33\) | 2.56711i | 0.0777913i | ||||||||
\(34\) | 0.0429244 | 0.00126248 | ||||||||
\(35\) | 12.0477 | + | 12.0477i | 0.344220 | + | 0.344220i | ||||
\(36\) | −35.5872 | −0.988534 | ||||||||
\(37\) | 56.8394 | 1.53620 | 0.768100 | − | 0.640330i | \(-0.221203\pi\) | ||||
0.768100 | + | 0.640330i | \(0.221203\pi\) | |||||||
\(38\) | −0.0831791 | − | 0.0831791i | −0.00218892 | − | 0.00218892i | ||||
\(39\) | 2.65295i | 0.0680244i | ||||||||
\(40\) | 0.240367 | 0.00600917 | ||||||||
\(41\) | 38.9030i | 0.948854i | 0.880295 | + | 0.474427i | \(0.157345\pi\) | ||||
−0.880295 | + | 0.474427i | \(0.842655\pi\) | |||||||
\(42\) | 0.0195489 | 0.000465451 | ||||||||
\(43\) | − | 3.83137i | − | 0.0891017i | −0.999007 | − | 0.0445509i | \(-0.985814\pi\) | ||
0.999007 | − | 0.0445509i | \(-0.0141857\pi\) | |||||||
\(44\) | −22.6285 | − | 22.6285i | −0.514285 | − | 0.514285i | ||||
\(45\) | −18.2362 | − | 18.2362i | −0.405250 | − | 0.405250i | ||||
\(46\) | 0.154320 | − | 0.154320i | 0.00335479 | − | 0.00335479i | ||||
\(47\) | − | 81.9341i | − | 1.74328i | −0.490148 | − | 0.871639i | \(-0.663057\pi\) | ||
0.490148 | − | 0.871639i | \(-0.336943\pi\) | |||||||
\(48\) | −3.62988 | + | 3.62988i | −0.0756224 | + | 0.0756224i | ||||
\(49\) | 14.4514 | 0.294926 | ||||||||
\(50\) | −0.121650 | − | 0.121650i | −0.00243301 | − | 0.00243301i | ||||
\(51\) | −1.32874 | −0.0260538 | ||||||||
\(52\) | −23.3852 | − | 23.3852i | −0.449715 | − | 0.449715i | ||||
\(53\) | −6.52021 | −0.123023 | −0.0615114 | − | 0.998106i | \(-0.519592\pi\) | ||||
−0.0615114 | + | 0.998106i | \(0.519592\pi\) | |||||||
\(54\) | −0.0595236 | −0.00110229 | ||||||||
\(55\) | − | 23.1914i | − | 0.421662i | ||||||
\(56\) | −0.344644 | + | 0.344644i | −0.00615435 | + | 0.00615435i | ||||
\(57\) | 2.57484 | + | 2.57484i | 0.0451726 | + | 0.0451726i | ||||
\(58\) | −0.247364 | + | 0.247364i | −0.00426489 | + | 0.00426489i | ||||
\(59\) | −99.4993 | −1.68643 | −0.843215 | − | 0.537577i | \(-0.819340\pi\) | ||||
−0.843215 | + | 0.537577i | \(0.819340\pi\) | |||||||
\(60\) | −3.72027 | −0.0620045 | ||||||||
\(61\) | 93.2962 | 1.52945 | 0.764723 | − | 0.644359i | \(-0.222876\pi\) | ||||
0.764723 | + | 0.644359i | \(0.222876\pi\) | |||||||
\(62\) | − | 0.154094i | − | 0.00248539i | ||||||
\(63\) | 52.2951 | 0.830081 | ||||||||
\(64\) | − | 63.9897i | − | 0.999839i | ||||||
\(65\) | − | 23.9669i | − | 0.368721i | ||||||
\(66\) | −0.0188155 | − | 0.0188155i | −0.000285084 | − | 0.000285084i | ||||
\(67\) | 77.0195 | − | 77.0195i | 1.14955 | − | 1.14955i | 0.162903 | − | 0.986642i | \(-0.447914\pi\) |
0.986642 | − | 0.162903i | \(-0.0520857\pi\) | |||||||
\(68\) | 11.7126 | − | 11.7126i | 0.172244 | − | 0.172244i | ||||
\(69\) | −4.77705 | + | 4.77705i | −0.0692326 | + | 0.0692326i | ||||
\(70\) | −0.176606 | −0.00252294 | ||||||||
\(71\) | 60.7264 | + | 60.7264i | 0.855301 | + | 0.855301i | 0.990780 | − | 0.135479i | \(-0.0432574\pi\) |
−0.135479 | + | 0.990780i | \(0.543257\pi\) | |||||||
\(72\) | 0.521676 | − | 0.521676i | 0.00724550 | − | 0.00724550i | ||||
\(73\) | 2.12145 | − | 2.12145i | 0.0290609 | − | 0.0290609i | −0.692427 | − | 0.721488i | \(-0.743459\pi\) |
0.721488 | + | 0.692427i | \(0.243459\pi\) | |||||||
\(74\) | −0.416601 | + | 0.416601i | −0.00562974 | + | 0.00562974i | ||||
\(75\) | 3.76573 | + | 3.76573i | 0.0502098 | + | 0.0502098i | ||||
\(76\) | −45.3933 | −0.597280 | ||||||||
\(77\) | 33.2524 | + | 33.2524i | 0.431850 | + | 0.431850i | ||||
\(78\) | −0.0194447 | − | 0.0194447i | −0.000249291 | − | 0.000249291i | ||||
\(79\) | 61.5250 | + | 61.5250i | 0.778798 | + | 0.778798i | 0.979626 | − | 0.200829i | \(-0.0643635\pi\) |
−0.200829 | + | 0.979626i | \(0.564363\pi\) | |||||||
\(80\) | 32.7925 | − | 32.7925i | 0.409906 | − | 0.409906i | ||||
\(81\) | −78.2308 | −0.965813 | ||||||||
\(82\) | −0.285138 | − | 0.285138i | −0.00347729 | − | 0.00347729i | ||||
\(83\) | − | 15.6373i | − | 0.188401i | −0.995553 | − | 0.0942004i | \(-0.969971\pi\) | ||
0.995553 | − | 0.0942004i | \(-0.0300294\pi\) | |||||||
\(84\) | 5.33422 | − | 5.33422i | 0.0635026 | − | 0.0635026i | ||||
\(85\) | 12.0039 | 0.141223 | ||||||||
\(86\) | 0.0280818 | + | 0.0280818i | 0.000326533 | + | 0.000326533i | ||||
\(87\) | 7.65723 | − | 7.65723i | 0.0880142 | − | 0.0880142i | ||||
\(88\) | 0.663427 | 0.00753895 | ||||||||
\(89\) | 38.3862 | + | 38.3862i | 0.431306 | + | 0.431306i | 0.889072 | − | 0.457767i | \(-0.151350\pi\) |
−0.457767 | + | 0.889072i | \(0.651350\pi\) | |||||||
\(90\) | 0.267323 | 0.00297025 | ||||||||
\(91\) | 34.3643 | + | 34.3643i | 0.377630 | + | 0.377630i | ||||
\(92\) | − | 84.2172i | − | 0.915404i | ||||||
\(93\) | 4.77005i | 0.0512909i | ||||||||
\(94\) | 0.600531 | + | 0.600531i | 0.00638863 | + | 0.00638863i | ||||
\(95\) | −23.2612 | − | 23.2612i | −0.244855 | − | 0.244855i | ||||
\(96\) | − | 0.159637i | − | 0.00166289i | ||||||
\(97\) | 25.4365i | 0.262232i | 0.991367 | + | 0.131116i | \(0.0418560\pi\) | ||||
−0.991367 | + | 0.131116i | \(0.958144\pi\) | |||||||
\(98\) | −0.105921 | + | 0.105921i | −0.00108082 | + | 0.00108082i | ||||
\(99\) | −50.3331 | − | 50.3331i | −0.508416 | − | 0.508416i | ||||
\(100\) | −66.3882 | −0.663882 | ||||||||
\(101\) | −131.668 | −1.30364 | −0.651821 | − | 0.758372i | \(-0.725995\pi\) | ||||
−0.651821 | + | 0.758372i | \(0.725995\pi\) | |||||||
\(102\) | 0.00973894 | − | 0.00973894i | 9.54798e−5 | − | 9.54798e-5i | ||||
\(103\) | −16.5178 | + | 16.5178i | −0.160367 | + | 0.160367i | −0.782729 | − | 0.622362i | \(-0.786173\pi\) |
0.622362 | + | 0.782729i | \(0.286173\pi\) | |||||||
\(104\) | 0.685611 | 0.00659241 | ||||||||
\(105\) | 5.46691 | 0.0520658 | ||||||||
\(106\) | 0.0477895 | − | 0.0477895i | 0.000450844 | − | 0.000450844i | ||||
\(107\) | 7.67967i | 0.0717726i | 0.999356 | + | 0.0358863i | \(0.0114254\pi\) | ||||
−0.999356 | + | 0.0358863i | \(0.988575\pi\) | |||||||
\(108\) | −16.2419 | + | 16.2419i | −0.150388 | + | 0.150388i | ||||
\(109\) | 37.2333i | 0.341590i | 0.985307 | + | 0.170795i | \(0.0546336\pi\) | ||||
−0.985307 | + | 0.170795i | \(0.945366\pi\) | |||||||
\(110\) | 0.169980 | + | 0.169980i | 0.00154528 | + | 0.00154528i | ||||
\(111\) | 12.8960 | − | 12.8960i | 0.116180 | − | 0.116180i | ||||
\(112\) | 94.0373i | 0.839619i | ||||||||
\(113\) | 31.6821 | + | 31.6821i | 0.280373 | + | 0.280373i | 0.833258 | − | 0.552885i | \(-0.186473\pi\) |
−0.552885 | + | 0.833258i | \(0.686473\pi\) | |||||||
\(114\) | −0.0377443 | −0.000331090 | ||||||||
\(115\) | 43.1561 | − | 43.1561i | 0.375270 | − | 0.375270i | ||||
\(116\) | 134.994i | 1.16374i | ||||||||
\(117\) | −52.0162 | − | 52.0162i | −0.444583 | − | 0.444583i | ||||
\(118\) | 0.729275 | − | 0.729275i | 0.00618029 | − | 0.00618029i | ||||
\(119\) | −17.2115 | + | 17.2115i | −0.144635 | + | 0.144635i | ||||
\(120\) | 0.0545358 | − | 0.0545358i | 0.000454465 | − | 0.000454465i | ||||
\(121\) | 56.9902i | 0.470993i | ||||||||
\(122\) | −0.683809 | + | 0.683809i | −0.00560499 | + | 0.00560499i | ||||
\(123\) | 8.82654 | + | 8.82654i | 0.0717605 | + | 0.0717605i | ||||
\(124\) | −42.0469 | − | 42.0469i | −0.339088 | − | 0.339088i | ||||
\(125\) | −85.2622 | − | 85.2622i | −0.682098 | − | 0.682098i | ||||
\(126\) | −0.383294 | + | 0.383294i | −0.00304202 | + | 0.00304202i | ||||
\(127\) | 180.700i | 1.42284i | 0.702769 | + | 0.711418i | \(0.251947\pi\) | ||||
−0.702769 | + | 0.711418i | \(0.748053\pi\) | |||||||
\(128\) | 1.87621 | + | 1.87621i | 0.0146579 | + | 0.0146579i | ||||
\(129\) | −0.869284 | − | 0.869284i | −0.00673863 | − | 0.00673863i | ||||
\(130\) | 0.175664 | + | 0.175664i | 0.00135126 | + | 0.00135126i | ||||
\(131\) | −14.9408 | + | 14.9408i | −0.114052 | + | 0.114052i | −0.761829 | − | 0.647778i | \(-0.775699\pi\) |
0.647778 | + | 0.761829i | \(0.275699\pi\) | |||||||
\(132\) | −10.2682 | −0.0777892 | ||||||||
\(133\) | 66.7050 | 0.501542 | ||||||||
\(134\) | 1.12902i | 0.00842553i | ||||||||
\(135\) | −16.6459 | −0.123303 | ||||||||
\(136\) | 0.343391i | 0.00252493i | ||||||||
\(137\) | 15.3616i | 0.112128i | 0.998427 | + | 0.0560642i | \(0.0178552\pi\) | ||||
−0.998427 | + | 0.0560642i | \(0.982145\pi\) | |||||||
\(138\) | − | 0.0700262i | − | 0.000507436i | ||||||
\(139\) | −20.1644 | − | 20.1644i | −0.145067 | − | 0.145067i | 0.630843 | − | 0.775910i | \(-0.282709\pi\) |
−0.775910 | + | 0.630843i | \(0.782709\pi\) | |||||||
\(140\) | −48.1896 | + | 48.1896i | −0.344211 | + | 0.344211i | ||||
\(141\) | −18.5897 | − | 18.5897i | −0.131842 | − | 0.131842i | ||||
\(142\) | −0.890181 | −0.00626888 | ||||||||
\(143\) | − | 66.1501i | − | 0.462588i | ||||||
\(144\) | − | 142.341i | − | 0.988481i | ||||||
\(145\) | −69.1758 | + | 69.1758i | −0.477074 | + | 0.477074i | ||||
\(146\) | 0.0310980i | 0.000213000i | ||||||||
\(147\) | 3.27881 | − | 3.27881i | 0.0223048 | − | 0.0223048i | ||||
\(148\) | 227.351i | 1.53616i | ||||||||
\(149\) | −191.036 | − | 191.036i | −1.28212 | − | 1.28212i | −0.939458 | − | 0.342665i | \(-0.888671\pi\) |
−0.342665 | − | 0.939458i | \(-0.611329\pi\) | |||||||
\(150\) | −0.0552015 | −0.000368010 | ||||||||
\(151\) | 161.939 | + | 161.939i | 1.07245 | + | 1.07245i | 0.997162 | + | 0.0752837i | \(0.0239862\pi\) |
0.0752837 | + | 0.997162i | \(0.476014\pi\) | |||||||
\(152\) | 0.665424 | − | 0.665424i | 0.00437779 | − | 0.00437779i | ||||
\(153\) | 26.0525 | − | 26.0525i | 0.170278 | − | 0.170278i | ||||
\(154\) | −0.487444 | −0.00316522 | ||||||||
\(155\) | − | 43.0929i | − | 0.278018i | ||||||
\(156\) | −10.6115 | −0.0680226 | ||||||||
\(157\) | 86.2449i | 0.549330i | 0.961540 | + | 0.274665i | \(0.0885670\pi\) | ||||
−0.961540 | + | 0.274665i | \(0.911433\pi\) | |||||||
\(158\) | −0.901888 | −0.00570815 | ||||||||
\(159\) | −1.47934 | + | 1.47934i | −0.00930404 | + | 0.00930404i | ||||
\(160\) | 1.44217i | 0.00901355i | ||||||||
\(161\) | 123.756i | 0.768674i | ||||||||
\(162\) | 0.573389 | − | 0.573389i | 0.00353944 | − | 0.00353944i | ||||
\(163\) | 75.5332i | 0.463394i | 0.972788 | + | 0.231697i | \(0.0744277\pi\) | ||||
−0.972788 | + | 0.231697i | \(0.925572\pi\) | |||||||
\(164\) | −155.608 | −0.948829 | ||||||||
\(165\) | −5.26180 | − | 5.26180i | −0.0318897 | − | 0.0318897i | ||||
\(166\) | 0.114612 | + | 0.114612i | 0.000690436 | + | 0.000690436i | ||||
\(167\) | 128.317 | − | 128.317i | 0.768366 | − | 0.768366i | −0.209453 | − | 0.977819i | \(-0.567168\pi\) |
0.977819 | + | 0.209453i | \(0.0671683\pi\) | |||||||
\(168\) | 0.156389i | 0.000930890i | ||||||||
\(169\) | 100.638i | 0.595491i | ||||||||
\(170\) | −0.0879820 | + | 0.0879820i | −0.000517541 | + | 0.000517541i | ||||
\(171\) | −100.969 | −0.590464 | ||||||||
\(172\) | 15.3251 | 0.0890993 | ||||||||
\(173\) | 172.986i | 0.999921i | 0.866048 | + | 0.499961i | \(0.166652\pi\) | ||||
−0.866048 | + | 0.499961i | \(0.833348\pi\) | |||||||
\(174\) | 0.112246i | 0.000645095i | ||||||||
\(175\) | 97.5569 | 0.557468 | ||||||||
\(176\) | 90.5093 | − | 90.5093i | 0.514257 | − | 0.514257i | ||||
\(177\) | −22.5750 | + | 22.5750i | −0.127542 | + | 0.127542i | ||||
\(178\) | −0.562699 | −0.00316123 | ||||||||
\(179\) | 61.7576 | − | 61.7576i | 0.345015 | − | 0.345015i | −0.513234 | − | 0.858249i | \(-0.671553\pi\) |
0.858249 | + | 0.513234i | \(0.171553\pi\) | |||||||
\(180\) | 72.9430 | − | 72.9430i | 0.405239 | − | 0.405239i | ||||
\(181\) | − | 97.4434i | − | 0.538361i | −0.963090 | − | 0.269181i | \(-0.913247\pi\) | ||
0.963090 | − | 0.269181i | \(-0.0867529\pi\) | |||||||
\(182\) | −0.503743 | −0.00276782 | ||||||||
\(183\) | 21.1676 | − | 21.1676i | 0.115670 | − | 0.115670i | ||||
\(184\) | 1.23455 | + | 1.23455i | 0.00670950 | + | 0.00670950i | ||||
\(185\) | −116.503 | + | 116.503i | −0.629748 | + | 0.629748i | ||||
\(186\) | −0.0349618 | − | 0.0349618i | −0.000187967 | − | 0.000187967i | ||||
\(187\) | 33.1316 | 0.177174 | ||||||||
\(188\) | 327.727 | 1.74323 | ||||||||
\(189\) | 23.8673 | − | 23.8673i | 0.126282 | − | 0.126282i | ||||
\(190\) | 0.340984 | 0.00179465 | ||||||||
\(191\) | 60.5718 | 0.317130 | 0.158565 | − | 0.987349i | \(-0.449313\pi\) | ||||
0.158565 | + | 0.987349i | \(0.449313\pi\) | |||||||
\(192\) | −14.5183 | − | 14.5183i | −0.0756164 | − | 0.0756164i | ||||
\(193\) | −221.023 | −1.14520 | −0.572600 | − | 0.819835i | \(-0.694065\pi\) | ||||
−0.572600 | + | 0.819835i | \(0.694065\pi\) | |||||||
\(194\) | −0.186435 | − | 0.186435i | −0.000961006 | − | 0.000961006i | ||||
\(195\) | −5.43774 | − | 5.43774i | −0.0278859 | − | 0.0278859i | ||||
\(196\) | 57.8040i | 0.294918i | ||||||||
\(197\) | −24.1709 | + | 195.512i | −0.122695 | + | 0.992444i | ||||
\(198\) | 0.737828 | 0.00372640 | ||||||||
\(199\) | 74.6513 | − | 74.6513i | 0.375132 | − | 0.375132i | −0.494210 | − | 0.869342i | \(-0.664543\pi\) |
0.869342 | + | 0.494210i | \(0.164543\pi\) | |||||||
\(200\) | 0.973191 | − | 0.973191i | 0.00486595 | − | 0.00486595i | ||||
\(201\) | − | 34.9492i | − | 0.173877i | ||||||
\(202\) | 0.965053 | − | 0.965053i | 0.00477749 | − | 0.00477749i | ||||
\(203\) | − | 198.372i | − | 0.977201i | ||||||
\(204\) | − | 5.31482i | − | 0.0260531i | ||||||
\(205\) | −79.7393 | − | 79.7393i | −0.388972 | − | 0.388972i | ||||
\(206\) | − | 0.242133i | − | 0.00117540i | ||||||
\(207\) | − | 187.326i | − | 0.904957i | ||||||
\(208\) | 93.5357 | − | 93.5357i | 0.449691 | − | 0.449691i | ||||
\(209\) | −64.2024 | − | 64.2024i | −0.307189 | − | 0.307189i | ||||
\(210\) | −0.0400694 | + | 0.0400694i | −0.000190807 | + | 0.000190807i | ||||
\(211\) | −142.085 | − | 142.085i | −0.673388 | − | 0.673388i | 0.285107 | − | 0.958496i | \(-0.407971\pi\) |
−0.958496 | + | 0.285107i | \(0.907971\pi\) | |||||||
\(212\) | − | 26.0801i | − | 0.123020i | ||||||
\(213\) | 27.5559 | 0.129370 | ||||||||
\(214\) | −0.0562877 | − | 0.0562877i | −0.000263027 | − | 0.000263027i | ||||
\(215\) | 7.85315 | + | 7.85315i | 0.0365263 | + | 0.0365263i | ||||
\(216\) | − | 0.476183i | − | 0.00220455i | ||||||
\(217\) | 61.7876 | + | 61.7876i | 0.284736 | + | 0.284736i | ||||
\(218\) | −0.272899 | − | 0.272899i | −0.00125183 | − | 0.00125183i | ||||
\(219\) | − | 0.962651i | − | 0.00439567i | ||||||
\(220\) | 92.7632 | 0.421651 | ||||||||
\(221\) | 34.2394 | 0.154929 | ||||||||
\(222\) | 0.189042i | 0.000851538i | ||||||||
\(223\) | − | 112.294i | − | 0.503562i | −0.967784 | − | 0.251781i | \(-0.918984\pi\) | ||
0.967784 | − | 0.251781i | \(-0.0810162\pi\) | |||||||
\(224\) | −2.06782 | − | 2.06782i | −0.00923132 | − | 0.00923132i | ||||
\(225\) | −147.669 | −0.656305 | ||||||||
\(226\) | −0.464425 | −0.00205498 | ||||||||
\(227\) | −251.351 | − | 251.351i | −1.10727 | − | 1.10727i | −0.993508 | − | 0.113765i | \(-0.963709\pi\) |
−0.113765 | − | 0.993508i | \(-0.536291\pi\) | |||||||
\(228\) | −10.2991 | + | 10.2991i | −0.0451714 | + | 0.0451714i | ||||
\(229\) | 227.368 | − | 227.368i | 0.992872 | − | 0.992872i | −0.00710277 | − | 0.999975i | \(-0.502261\pi\) |
0.999975 | + | 0.00710277i | \(0.00226090\pi\) | |||||||
\(230\) | 0.632620i | 0.00275052i | ||||||||
\(231\) | 15.0890 | 0.0653204 | ||||||||
\(232\) | −1.97888 | − | 1.97888i | −0.00852966 | − | 0.00852966i | ||||
\(233\) | 106.854 | 0.458599 | 0.229299 | − | 0.973356i | \(-0.426357\pi\) | ||||
0.229299 | + | 0.973356i | \(0.426357\pi\) | |||||||
\(234\) | 0.762499 | 0.00325854 | ||||||||
\(235\) | 167.940 | + | 167.940i | 0.714638 | + | 0.714638i | ||||
\(236\) | − | 397.987i | − | 1.68638i | ||||||
\(237\) | 27.9183 | 0.117799 | ||||||||
\(238\) | − | 0.252302i | − | 0.00106009i | ||||||
\(239\) | −61.1321 | −0.255783 | −0.127891 | − | 0.991788i | \(-0.540821\pi\) | ||||
−0.127891 | + | 0.991788i | \(0.540821\pi\) | |||||||
\(240\) | − | 14.8803i | − | 0.0620012i | ||||||
\(241\) | 40.4113 | + | 40.4113i | 0.167682 | + | 0.167682i | 0.785960 | − | 0.618278i | \(-0.212169\pi\) |
−0.618278 | + | 0.785960i | \(0.712169\pi\) | |||||||
\(242\) | −0.417707 | − | 0.417707i | −0.00172606 | − | 0.00172606i | ||||
\(243\) | −54.2947 | + | 54.2947i | −0.223435 | + | 0.223435i | ||||
\(244\) | 373.175i | 1.52940i | ||||||||
\(245\) | −29.6209 | + | 29.6209i | −0.120902 | + | 0.120902i | ||||
\(246\) | −0.129387 | −0.000525964 | ||||||||
\(247\) | −66.3492 | − | 66.3492i | −0.268620 | − | 0.268620i | ||||
\(248\) | 1.23274 | 0.00497072 | ||||||||
\(249\) | −3.54787 | − | 3.54787i | −0.0142485 | − | 0.0142485i | ||||
\(250\) | 1.24985 | 0.00499940 | ||||||||
\(251\) | 280.451 | 1.11733 | 0.558667 | − | 0.829392i | \(-0.311313\pi\) | ||||
0.558667 | + | 0.829392i | \(0.311313\pi\) | |||||||
\(252\) | 209.175i | 0.830059i | ||||||||
\(253\) | 119.113 | − | 119.113i | 0.470804 | − | 0.470804i | ||||
\(254\) | −1.32443 | − | 1.32443i | −0.00521430 | − | 0.00521430i | ||||
\(255\) | 2.72352 | − | 2.72352i | 0.0106805 | − | 0.0106805i | ||||
\(256\) | 255.931 | 0.999731 | ||||||||
\(257\) | −192.747 | −0.749988 | −0.374994 | − | 0.927027i | \(-0.622355\pi\) | ||||
−0.374994 | + | 0.927027i | \(0.622355\pi\) | |||||||
\(258\) | 0.0127427 | 4.93904e−5 | ||||||||
\(259\) | − | 334.091i | − | 1.28993i | ||||||
\(260\) | 95.8650 | 0.368712 | ||||||||
\(261\) | 300.269i | 1.15046i | ||||||||
\(262\) | − | 0.219015i | − | 0.000835935i | ||||||
\(263\) | −120.728 | − | 120.728i | −0.459043 | − | 0.459043i | 0.439298 | − | 0.898341i | \(-0.355227\pi\) |
−0.898341 | + | 0.439298i | \(0.855227\pi\) | |||||||
\(264\) | 0.150522 | − | 0.150522i | 0.000570160 | − | 0.000570160i | ||||
\(265\) | 13.3644 | − | 13.3644i | 0.0504319 | − | 0.0504319i | ||||
\(266\) | −0.488911 | + | 0.488911i | −0.00183801 | + | 0.00183801i | ||||
\(267\) | 17.4186 | 0.0652381 | ||||||||
\(268\) | 308.070 | + | 308.070i | 1.14951 | + | 1.14951i | ||||
\(269\) | −68.8046 | + | 68.8046i | −0.255779 | + | 0.255779i | −0.823335 | − | 0.567556i | \(-0.807889\pi\) |
0.567556 | + | 0.823335i | \(0.307889\pi\) | |||||||
\(270\) | 0.122005 | − | 0.122005i | 0.000451871 | − | 0.000451871i | ||||
\(271\) | 175.987 | − | 175.987i | 0.649398 | − | 0.649398i | −0.303450 | − | 0.952847i | \(-0.598138\pi\) |
0.952847 | + | 0.303450i | \(0.0981384\pi\) | |||||||
\(272\) | 46.8477 | + | 46.8477i | 0.172234 | + | 0.172234i | ||||
\(273\) | 15.5935 | 0.0571192 | ||||||||
\(274\) | −0.112592 | − | 0.112592i | −0.000410919 | − | 0.000410919i | ||||
\(275\) | −93.8968 | − | 93.8968i | −0.341443 | − | 0.341443i | ||||
\(276\) | −19.1077 | − | 19.1077i | −0.0692307 | − | 0.0692307i | ||||
\(277\) | −278.555 | + | 278.555i | −1.00561 | + | 1.00561i | −0.00563058 | + | 0.999984i | \(0.501792\pi\) |
−0.999984 | + | 0.00563058i | \(0.998208\pi\) | |||||||
\(278\) | 0.295587 | 0.00106326 | ||||||||
\(279\) | −93.5259 | − | 93.5259i | −0.335218 | − | 0.335218i | ||||
\(280\) | − | 1.41283i | − | 0.00504582i | ||||||
\(281\) | 136.367 | − | 136.367i | 0.485291 | − | 0.485291i | −0.421526 | − | 0.906817i | \(-0.638505\pi\) |
0.906817 | + | 0.421526i | \(0.138505\pi\) | |||||||
\(282\) | 0.272504 | 0.000966325 | ||||||||
\(283\) | −34.2361 | − | 34.2361i | −0.120976 | − | 0.120976i | 0.644027 | − | 0.765003i | \(-0.277262\pi\) |
−0.765003 | + | 0.644027i | \(0.777262\pi\) | |||||||
\(284\) | −242.899 | + | 242.899i | −0.855278 | + | 0.855278i | ||||
\(285\) | −10.5553 | −0.0370361 | ||||||||
\(286\) | 0.484844 | + | 0.484844i | 0.00169526 | + | 0.00169526i | ||||
\(287\) | 228.664 | 0.796740 | ||||||||
\(288\) | 3.12999 | + | 3.12999i | 0.0108680 | + | 0.0108680i | ||||
\(289\) | − | 271.851i | − | 0.940661i | ||||||
\(290\) | − | 1.01404i | − | 0.00349669i | ||||||
\(291\) | 5.77117 | + | 5.77117i | 0.0198322 | + | 0.0198322i | ||||
\(292\) | 8.48556 | + | 8.48556i | 0.0290601 | + | 0.0290601i | ||||
\(293\) | 85.5844i | 0.292097i | 0.989277 | + | 0.146048i | \(0.0466555\pi\) | ||||
−0.989277 | + | 0.146048i | \(0.953344\pi\) | |||||||
\(294\) | 0.0480637i | 0.000163482i | ||||||||
\(295\) | 203.943 | − | 203.943i | 0.691333 | − | 0.691333i | ||||
\(296\) | −3.33276 | − | 3.33276i | −0.0112593 | − | 0.0112593i | ||||
\(297\) | −45.9438 | −0.154693 | ||||||||
\(298\) | 2.80038 | 0.00939724 | ||||||||
\(299\) | 123.096 | − | 123.096i | 0.411693 | − | 0.411693i | ||||
\(300\) | −15.0625 | + | 15.0625i | −0.0502084 | + | 0.0502084i | ||||
\(301\) | −22.5201 | −0.0748175 | ||||||||
\(302\) | −2.37385 | −0.00786043 | ||||||||
\(303\) | −29.8736 | + | 29.8736i | −0.0985926 | + | 0.0985926i | ||||
\(304\) | − | 181.563i | − | 0.597248i | ||||||
\(305\) | −191.229 | + | 191.229i | −0.626979 | + | 0.626979i | ||||
\(306\) | 0.381901i | 0.00124804i | ||||||||
\(307\) | 252.391 | + | 252.391i | 0.822121 | + | 0.822121i | 0.986412 | − | 0.164291i | \(-0.0525336\pi\) |
−0.164291 | + | 0.986412i | \(0.552534\pi\) | |||||||
\(308\) | −133.006 | + | 133.006i | −0.431838 | + | 0.431838i | ||||
\(309\) | 7.49531i | 0.0242567i | ||||||||
\(310\) | 0.315847 | + | 0.315847i | 0.00101886 | + | 0.00101886i | ||||
\(311\) | −335.754 | −1.07960 | −0.539798 | − | 0.841795i | \(-0.681499\pi\) | ||||
−0.539798 | + | 0.841795i | \(0.681499\pi\) | |||||||
\(312\) | 0.155555 | − | 0.155555i | 0.000498575 | − | 0.000498575i | ||||
\(313\) | − | 84.4574i | − | 0.269832i | −0.990857 | − | 0.134916i | \(-0.956924\pi\) | ||
0.990857 | − | 0.134916i | \(-0.0430764\pi\) | |||||||
\(314\) | −0.632127 | − | 0.632127i | −0.00201314 | − | 0.00201314i | ||||
\(315\) | −107.189 | + | 107.189i | −0.340283 | + | 0.340283i | ||||
\(316\) | −246.093 | + | 246.093i | −0.778777 | + | 0.778777i | ||||
\(317\) | −142.081 | + | 142.081i | −0.448204 | + | 0.448204i | −0.894757 | − | 0.446553i | \(-0.852651\pi\) |
0.446553 | + | 0.894757i | \(0.352651\pi\) | |||||||
\(318\) | − | 0.0216855i | − | 6.81934e-5i | ||||||
\(319\) | −190.929 | + | 190.929i | −0.598525 | + | 0.598525i | ||||
\(320\) | 131.159 | + | 131.159i | 0.409873 | + | 0.409873i | ||||
\(321\) | 1.74241 | + | 1.74241i | 0.00542806 | + | 0.00542806i | ||||
\(322\) | −0.907066 | − | 0.907066i | −0.00281697 | − | 0.00281697i | ||||
\(323\) | 33.2313 | − | 33.2313i | 0.102883 | − | 0.102883i | ||||
\(324\) | − | 312.915i | − | 0.965787i | ||||||
\(325\) | −97.0365 | − | 97.0365i | −0.298574 | − | 0.298574i | ||||
\(326\) | −0.553616 | − | 0.553616i | −0.00169821 | − | 0.00169821i | ||||
\(327\) | 8.44770 | + | 8.44770i | 0.0258340 | + | 0.0258340i | ||||
\(328\) | 2.28107 | − | 2.28107i | 0.00695448 | − | 0.00695448i | ||||
\(329\) | −481.593 | −1.46381 | ||||||||
\(330\) | 0.0771322 | 0.000233734 | ||||||||
\(331\) | − | 212.794i | − | 0.642883i | −0.946929 | − | 0.321442i | \(-0.895833\pi\) | ||
0.946929 | − | 0.321442i | \(-0.104167\pi\) | |||||||
\(332\) | 62.5474 | 0.188396 | ||||||||
\(333\) | 505.702i | 1.51863i | ||||||||
\(334\) | 1.88099i | 0.00563169i | ||||||||
\(335\) | 315.733i | 0.942487i | ||||||||
\(336\) | 21.3357 | + | 21.3357i | 0.0634992 | + | 0.0634992i | ||||
\(337\) | 341.860 | − | 341.860i | 1.01442 | − | 1.01442i | 0.0145276 | − | 0.999894i | \(-0.495376\pi\) |
0.999894 | − | 0.0145276i | \(-0.00462445\pi\) | |||||||
\(338\) | −0.737620 | − | 0.737620i | −0.00218231 | − | 0.00218231i | ||||
\(339\) | 14.3764 | 0.0424084 | ||||||||
\(340\) | 48.0144i | 0.141219i | ||||||||
\(341\) | − | 118.939i | − | 0.348795i | ||||||
\(342\) | 0.740049 | − | 0.740049i | 0.00216388 | − | 0.00216388i | ||||
\(343\) | − | 372.955i | − | 1.08733i | ||||||
\(344\) | −0.224652 | + | 0.224652i | −0.000653057 | + | 0.000653057i | ||||
\(345\) | − | 19.5830i | − | 0.0567623i | ||||||
\(346\) | −1.26789 | − | 1.26789i | −0.00366443 | − | 0.00366443i | ||||
\(347\) | 35.9197 | 0.103515 | 0.0517574 | − | 0.998660i | \(-0.483518\pi\) | ||||
0.0517574 | + | 0.998660i | \(0.483518\pi\) | |||||||
\(348\) | 30.6281 | + | 30.6281i | 0.0880118 | + | 0.0880118i | ||||
\(349\) | −153.115 | + | 153.115i | −0.438724 | + | 0.438724i | −0.891582 | − | 0.452858i | \(-0.850404\pi\) |
0.452858 | + | 0.891582i | \(0.350404\pi\) | |||||||
\(350\) | −0.715038 | + | 0.715038i | −0.00204297 | + | 0.00204297i | ||||
\(351\) | −47.4800 | −0.135271 | ||||||||
\(352\) | 3.98047i | 0.0113082i | ||||||||
\(353\) | 400.782 | 1.13536 | 0.567680 | − | 0.823249i | \(-0.307841\pi\) | ||||
0.567680 | + | 0.823249i | \(0.307841\pi\) | |||||||
\(354\) | − | 0.330924i | − | 0.000934813i | ||||||
\(355\) | −248.941 | −0.701242 | ||||||||
\(356\) | −153.541 | + | 153.541i | −0.431294 | + | 0.431294i | ||||
\(357\) | 7.81009i | 0.0218770i | ||||||||
\(358\) | 0.905298i | 0.00252877i | ||||||||
\(359\) | −54.3951 | + | 54.3951i | −0.151519 | + | 0.151519i | −0.778796 | − | 0.627277i | \(-0.784169\pi\) |
0.627277 | + | 0.778796i | \(0.284169\pi\) | |||||||
\(360\) | 2.13855i | 0.00594043i | ||||||||
\(361\) | 232.209 | 0.643237 | ||||||||
\(362\) | 0.714206 | + | 0.714206i | 0.00197295 | + | 0.00197295i | ||||
\(363\) | 12.9303 | + | 12.9303i | 0.0356205 | + | 0.0356205i | ||||
\(364\) | −137.454 | + | 137.454i | −0.377620 | + | 0.377620i | ||||
\(365\) | 8.69664i | 0.0238264i | ||||||||
\(366\) | 0.310293i | 0.000847795i | ||||||||
\(367\) | −439.539 | + | 439.539i | −1.19765 | + | 1.19765i | −0.222787 | + | 0.974867i | \(0.571515\pi\) |
−0.974867 | + | 0.222787i | \(0.928485\pi\) | |||||||
\(368\) | 336.851 | 0.915355 | ||||||||
\(369\) | −346.122 | −0.938000 | ||||||||
\(370\) | − | 1.70781i | − | 0.00461570i | ||||||
\(371\) | 38.3245i | 0.103301i | ||||||||
\(372\) | −19.0797 | −0.0512895 | ||||||||
\(373\) | −372.613 | + | 372.613i | −0.998962 | + | 0.998962i | −0.999999 | − | 0.00103710i | \(-0.999670\pi\) |
0.00103710 | + | 0.999999i | \(0.499670\pi\) | |||||||
\(374\) | −0.242836 | + | 0.242836i | −0.000649294 | + | 0.000649294i | ||||
\(375\) | −38.6895 | −0.103172 | ||||||||
\(376\) | −4.80418 | + | 4.80418i | −0.0127771 | + | 0.0127771i | ||||
\(377\) | −197.314 | + | 197.314i | −0.523379 | + | 0.523379i | ||||
\(378\) | 0.349868i | 0.000925578i | ||||||||
\(379\) | −372.333 | −0.982409 | −0.491205 | − | 0.871044i | \(-0.663443\pi\) | ||||
−0.491205 | + | 0.871044i | \(0.663443\pi\) | |||||||
\(380\) | 93.0424 | − | 93.0424i | 0.244848 | − | 0.244848i | ||||
\(381\) | 40.9983 | + | 40.9983i | 0.107607 | + | 0.107607i | ||||
\(382\) | −0.443957 | + | 0.443957i | −0.00116219 | + | 0.00116219i | ||||
\(383\) | 445.610 | + | 445.610i | 1.16347 | + | 1.16347i | 0.983710 | + | 0.179761i | \(0.0575325\pi\) |
0.179761 | + | 0.983710i | \(0.442468\pi\) | |||||||
\(384\) | 0.851371 | 0.00221711 | ||||||||
\(385\) | −136.315 | −0.354064 | ||||||||
\(386\) | 1.61998 | − | 1.61998i | 0.00419684 | − | 0.00419684i | ||||
\(387\) | 34.0879 | 0.0880825 | ||||||||
\(388\) | −101.743 | −0.262224 | ||||||||
\(389\) | −46.5326 | − | 46.5326i | −0.119621 | − | 0.119621i | 0.644762 | − | 0.764383i | \(-0.276956\pi\) |
−0.764383 | + | 0.644762i | \(0.776956\pi\) | |||||||
\(390\) | 0.0797113 | 0.000204388 | ||||||||
\(391\) | 61.6533 | + | 61.6533i | 0.157681 | + | 0.157681i | ||||
\(392\) | −0.847354 | − | 0.847354i | −0.00216162 | − | 0.00216162i | ||||
\(393\) | 6.77969i | 0.0172511i | ||||||||
\(394\) | −1.25583 | − | 1.61015i | −0.00318739 | − | 0.00408668i | ||||
\(395\) | −252.215 | −0.638519 | ||||||||
\(396\) | 201.327 | − | 201.327i | 0.508402 | − | 0.508402i | ||||
\(397\) | 526.089 | − | 526.089i | 1.32516 | − | 1.32516i | 0.415627 | − | 0.909535i | \(-0.363562\pi\) |
0.909535 | − | 0.415627i | \(-0.136438\pi\) | |||||||
\(398\) | 1.09431i | 0.00274951i | ||||||||
\(399\) | 15.1344 | − | 15.1344i | 0.0379309 | − | 0.0379309i | ||||
\(400\) | − | 265.539i | − | 0.663847i | ||||||
\(401\) | 290.623i | 0.724746i | 0.932033 | + | 0.362373i | \(0.118033\pi\) | ||||
−0.932033 | + | 0.362373i | \(0.881967\pi\) | |||||||
\(402\) | 0.256159 | + | 0.256159i | 0.000637210 | + | 0.000637210i | ||||
\(403\) | − | 122.916i | − | 0.305003i | ||||||
\(404\) | − | 526.658i | − | 1.30361i | ||||||
\(405\) | 160.349 | − | 160.349i | 0.395924 | − | 0.395924i | ||||
\(406\) | 1.45396 | + | 1.45396i | 0.00358117 | + | 0.00358117i | ||||
\(407\) | −321.557 | + | 321.557i | −0.790065 | + | 0.790065i | ||||
\(408\) | 0.0779105 | + | 0.0779105i | 0.000190957 | + | 0.000190957i | ||||
\(409\) | 671.240i | 1.64117i | 0.571523 | + | 0.820586i | \(0.306353\pi\) | ||||
−0.571523 | + | 0.820586i | \(0.693647\pi\) | |||||||
\(410\) | 1.16889 | 0.00285095 | ||||||||
\(411\) | 3.48532 | + | 3.48532i | 0.00848011 | + | 0.00848011i | ||||
\(412\) | −66.0695 | − | 66.0695i | −0.160363 | − | 0.160363i | ||||
\(413\) | 584.838i | 1.41607i | ||||||||
\(414\) | 1.37300 | + | 1.37300i | 0.00331642 | + | 0.00331642i | ||||
\(415\) | 32.0516 | + | 32.0516i | 0.0772328 | + | 0.0772328i | ||||
\(416\) | 4.11357i | 0.00988840i | ||||||||
\(417\) | −9.15001 | −0.0219425 | ||||||||
\(418\) | 0.941136 | 0.00225152 | ||||||||
\(419\) | − | 231.411i | − | 0.552294i | −0.961115 | − | 0.276147i | \(-0.910942\pi\) | ||
0.961115 | − | 0.276147i | \(-0.0890577\pi\) | |||||||
\(420\) | 21.8670i | 0.0520644i | ||||||||
\(421\) | 381.980 | + | 381.980i | 0.907315 | + | 0.907315i | 0.996055 | − | 0.0887396i | \(-0.0282839\pi\) |
−0.0887396 | + | 0.996055i | \(0.528284\pi\) | |||||||
\(422\) | 2.08281 | 0.00493556 | ||||||||
\(423\) | 728.971 | 1.72334 | ||||||||
\(424\) | 0.382311 | + | 0.382311i | 0.000901677 | + | 0.000901677i | ||||
\(425\) | 48.6011 | − | 48.6011i | 0.114356 | − | 0.114356i | ||||
\(426\) | −0.201969 | + | 0.201969i | −0.000474106 | + | 0.000474106i | ||||
\(427\) | − | 548.377i | − | 1.28426i | ||||||
\(428\) | −30.7179 | −0.0717707 | ||||||||
\(429\) | −15.0085 | − | 15.0085i | −0.0349849 | − | 0.0349849i | ||||
\(430\) | −0.115118 | −0.000267717 | ||||||||
\(431\) | 772.033 | 1.79126 | 0.895630 | − | 0.444801i | \(-0.146725\pi\) | ||||
0.895630 | + | 0.444801i | \(0.146725\pi\) | |||||||
\(432\) | −64.9641 | − | 64.9641i | −0.150380 | − | 0.150380i | ||||
\(433\) | − | 277.661i | − | 0.641249i | −0.947206 | − | 0.320624i | \(-0.896107\pi\) | ||
0.947206 | − | 0.320624i | \(-0.103893\pi\) | |||||||
\(434\) | −0.905738 | −0.00208695 | ||||||||
\(435\) | 31.3900i | 0.0721609i | ||||||||
\(436\) | −148.929 | −0.341581 | ||||||||
\(437\) | − | 238.944i | − | 0.546782i | ||||||
\(438\) | 0.00705570 | + | 0.00705570i | 1.61089e−5 | + | 1.61089e-5i | ||||
\(439\) | −243.712 | − | 243.712i | −0.555152 | − | 0.555152i | 0.372771 | − | 0.927923i | \(-0.378408\pi\) |
−0.927923 | + | 0.372771i | \(0.878408\pi\) | |||||||
\(440\) | −1.35982 | + | 1.35982i | −0.00309051 | + | 0.00309051i | ||||
\(441\) | 128.575i | 0.291552i | ||||||||
\(442\) | −0.250956 | + | 0.250956i | −0.000567773 | + | 0.000567773i | ||||
\(443\) | 270.977 | 0.611686 | 0.305843 | − | 0.952082i | \(-0.401062\pi\) | ||||
0.305843 | + | 0.952082i | \(0.401062\pi\) | |||||||
\(444\) | 51.5828 | + | 51.5828i | 0.116177 | + | 0.116177i | ||||
\(445\) | −157.360 | −0.353618 | ||||||||
\(446\) | 0.823054 | + | 0.823054i | 0.00184541 | + | 0.00184541i | ||||
\(447\) | −86.6868 | −0.193930 | ||||||||
\(448\) | −376.119 | −0.839551 | ||||||||
\(449\) | − | 320.320i | − | 0.713408i | −0.934217 | − | 0.356704i | \(-0.883900\pi\) | ||
0.934217 | − | 0.356704i | \(-0.116100\pi\) | |||||||
\(450\) | 1.08233 | − | 1.08233i | 0.00240518 | − | 0.00240518i | ||||
\(451\) | −220.086 | − | 220.086i | −0.487995 | − | 0.487995i | ||||
\(452\) | −126.725 | + | 126.725i | −0.280365 | + | 0.280365i | ||||
\(453\) | 73.4834 | 0.162215 | ||||||||
\(454\) | 3.68453 | 0.00811570 | ||||||||
\(455\) | −140.873 | −0.309611 | ||||||||
\(456\) | − | 0.301950i | − | 0.000662172i | ||||||
\(457\) | −25.2138 | −0.0551724 | −0.0275862 | − | 0.999619i | \(-0.508782\pi\) | ||||
−0.0275862 | + | 0.999619i | \(0.508782\pi\) | |||||||
\(458\) | 3.33296i | 0.00727720i | ||||||||
\(459\) | − | 23.7806i | − | 0.0518095i | ||||||
\(460\) | 172.620 | + | 172.620i | 0.375260 | + | 0.375260i | ||||
\(461\) | 222.666 | − | 222.666i | 0.483007 | − | 0.483007i | −0.423084 | − | 0.906091i | \(-0.639052\pi\) |
0.906091 | + | 0.423084i | \(0.139052\pi\) | |||||||
\(462\) | −0.110594 | + | 0.110594i | −0.000239381 | + | 0.000239381i | ||||
\(463\) | 300.059 | − | 300.059i | 0.648075 | − | 0.648075i | −0.304453 | − | 0.952527i | \(-0.598474\pi\) |
0.952527 | + | 0.304453i | \(0.0984735\pi\) | |||||||
\(464\) | −539.945 | −1.16368 | ||||||||
\(465\) | −9.77715 | − | 9.77715i | −0.0210261 | − | 0.0210261i | ||||
\(466\) | −0.783177 | + | 0.783177i | −0.00168064 | + | 0.00168064i | ||||
\(467\) | 169.461 | − | 169.461i | 0.362871 | − | 0.362871i | −0.501998 | − | 0.864869i | \(-0.667402\pi\) |
0.864869 | + | 0.501998i | \(0.167402\pi\) | |||||||
\(468\) | 208.059 | − | 208.059i | 0.444571 | − | 0.444571i | ||||
\(469\) | −452.706 | − | 452.706i | −0.965258 | − | 0.965258i | ||||
\(470\) | −2.46181 | −0.00523790 | ||||||||
\(471\) | 19.5677 | + | 19.5677i | 0.0415451 | + | 0.0415451i | ||||
\(472\) | 5.83412 | + | 5.83412i | 0.0123604 | + | 0.0123604i | ||||
\(473\) | 21.6752 | + | 21.6752i | 0.0458249 | + | 0.0458249i | ||||
\(474\) | −0.204625 | + | 0.204625i | −0.000431699 | + | 0.000431699i | ||||
\(475\) | −188.359 | −0.396545 | ||||||||
\(476\) | −68.8442 | − | 68.8442i | −0.144631 | − | 0.144631i | ||||
\(477\) | − | 58.0106i | − | 0.121616i | ||||||
\(478\) | 0.448064 | − | 0.448064i | 0.000937372 | − | 0.000937372i | ||||
\(479\) | 755.524 | 1.57729 | 0.788647 | − | 0.614846i | \(-0.210782\pi\) | ||||
0.788647 | + | 0.614846i | \(0.210782\pi\) | |||||||
\(480\) | 0.327207 | + | 0.327207i | 0.000681682 | + | 0.000681682i | ||||
\(481\) | −332.309 | + | 332.309i | −0.690871 | + | 0.690871i | ||||
\(482\) | −0.592385 | −0.00122901 | ||||||||
\(483\) | 28.0786 | + | 28.0786i | 0.0581337 | + | 0.0581337i | ||||
\(484\) | −227.955 | −0.470981 | ||||||||
\(485\) | −52.1370 | − | 52.1370i | −0.107499 | − | 0.107499i | ||||
\(486\) | − | 0.795900i | − | 0.00163765i | ||||||
\(487\) | 58.4693i | 0.120060i | 0.998197 | + | 0.0600301i | \(0.0191197\pi\) | ||||
−0.998197 | + | 0.0600301i | \(0.980880\pi\) | |||||||
\(488\) | −5.47040 | − | 5.47040i | −0.0112098 | − | 0.0112098i | ||||
\(489\) | 17.1374 | + | 17.1374i | 0.0350458 | + | 0.0350458i | ||||
\(490\) | − | 0.434210i | − | 0.000886143i | ||||||
\(491\) | − | 1.83661i | − | 0.00374054i | −0.999998 | − | 0.00187027i | \(-0.999405\pi\) | ||
0.999998 | − | 0.00187027i | \(-0.000595326\pi\) | |||||||
\(492\) | −35.3052 | + | 35.3052i | −0.0717585 | + | 0.0717585i | ||||
\(493\) | −98.8253 | − | 98.8253i | −0.200457 | − | 0.200457i | ||||
\(494\) | 0.972606 | 0.00196884 | ||||||||
\(495\) | 206.335 | 0.416839 | ||||||||
\(496\) | 168.179 | − | 168.179i | 0.339070 | − | 0.339070i | ||||
\(497\) | 356.938 | − | 356.938i | 0.718185 | − | 0.718185i | ||||
\(498\) | 0.0520078 | 0.000104433 | ||||||||
\(499\) | 5.28124 | 0.0105837 | 0.00529183 | − | 0.999986i | \(-0.498316\pi\) | ||||
0.00529183 | + | 0.999986i | \(0.498316\pi\) | |||||||
\(500\) | 341.040 | − | 341.040i | 0.682079 | − | 0.682079i | ||||
\(501\) | − | 58.2266i | − | 0.116221i | ||||||
\(502\) | −2.05555 | + | 2.05555i | −0.00409472 | + | 0.00409472i | ||||
\(503\) | 638.934i | 1.27025i | 0.772411 | + | 0.635123i | \(0.219051\pi\) | ||||
−0.772411 | + | 0.635123i | \(0.780949\pi\) | |||||||
\(504\) | −3.06631 | − | 3.06631i | −0.00608395 | − | 0.00608395i | ||||
\(505\) | 269.879 | − | 269.879i | 0.534414 | − | 0.534414i | ||||
\(506\) | 1.74607i | 0.00345073i | ||||||||
\(507\) | 22.8333 | + | 22.8333i | 0.0450361 | + | 0.0450361i | ||||
\(508\) | −722.781 | −1.42280 | ||||||||
\(509\) | 591.679 | − | 591.679i | 1.16243 | − | 1.16243i | 0.178492 | − | 0.983941i | \(-0.442878\pi\) |
0.983941 | − | 0.178492i | \(-0.0571218\pi\) | |||||||
\(510\) | 0.0399237i | 7.82818e-5i | ||||||||
\(511\) | −12.4695 | − | 12.4695i | −0.0244021 | − | 0.0244021i | ||||
\(512\) | −9.38068 | + | 9.38068i | −0.0183216 | + | 0.0183216i | ||||
\(513\) | −46.0820 | + | 46.0820i | −0.0898285 | + | 0.0898285i | ||||
\(514\) | 1.41273 | − | 1.41273i | 0.00274850 | − | 0.00274850i | ||||
\(515\) | − | 67.7130i | − | 0.131482i | ||||||
\(516\) | 3.47704 | − | 3.47704i | 0.00673845 | − | 0.00673845i | ||||
\(517\) | 463.524 | + | 463.524i | 0.896566 | + | 0.896566i | ||||
\(518\) | 2.44870 | + | 2.44870i | 0.00472722 | + | 0.00472722i | ||||
\(519\) | 39.2481 | + | 39.2481i | 0.0756226 | + | 0.0756226i | ||||
\(520\) | −1.40529 | + | 1.40529i | −0.00270249 | + | 0.00270249i | ||||
\(521\) | − | 102.268i | − | 0.196292i | −0.995172 | − | 0.0981462i | \(-0.968709\pi\) | ||
0.995172 | − | 0.0981462i | \(-0.0312913\pi\) | |||||||
\(522\) | −2.20081 | − | 2.20081i | −0.00421610 | − | 0.00421610i | ||||
\(523\) | 118.578 | + | 118.578i | 0.226726 | + | 0.226726i | 0.811324 | − | 0.584597i | \(-0.198747\pi\) |
−0.584597 | + | 0.811324i | \(0.698747\pi\) | |||||||
\(524\) | −59.7615 | − | 59.7615i | −0.114049 | − | 0.114049i | ||||
\(525\) | 22.1343 | − | 22.1343i | 0.0421605 | − | 0.0421605i | ||||
\(526\) | 1.76974 | 0.00336453 | ||||||||
\(527\) | 61.5630 | 0.116818 | ||||||||
\(528\) | − | 41.0705i | − | 0.0777851i | ||||||
\(529\) | −85.6926 | −0.161990 | ||||||||
\(530\) | 0.195908i | 0.000369637i | ||||||||
\(531\) | − | 885.250i | − | 1.66714i | ||||||
\(532\) | 266.813i | 0.501528i | ||||||||
\(533\) | −227.445 | − | 227.445i | −0.426726 | − | 0.426726i | ||||
\(534\) | −0.127668 | + | 0.127668i | −0.000239079 | + | 0.000239079i | ||||
\(535\) | −15.7410 | − | 15.7410i | −0.0294224 | − | 0.0294224i | ||||
\(536\) | −9.03204 | −0.0168508 | ||||||||
\(537\) | − | 28.0238i | − | 0.0521859i | ||||||
\(538\) | − | 1.00860i | − | 0.00187472i | ||||||
\(539\) | −81.7556 | + | 81.7556i | −0.151680 | + | 0.151680i | ||||
\(540\) | − | 66.5819i | − | 0.123300i | ||||||
\(541\) | −351.869 | + | 351.869i | −0.650405 | + | 0.650405i | −0.953090 | − | 0.302686i | \(-0.902117\pi\) |
0.302686 | + | 0.953090i | \(0.402117\pi\) | |||||||
\(542\) | 2.57977i | 0.00475972i | ||||||||
\(543\) | −22.1085 | − | 22.1085i | −0.0407155 | − | 0.0407155i | ||||
\(544\) | −2.06030 | −0.00378731 | ||||||||
\(545\) | −76.3169 | − | 76.3169i | −0.140031 | − | 0.140031i | ||||
\(546\) | −0.114292 | + | 0.114292i | −0.000209326 | + | 0.000209326i | ||||
\(547\) | 557.805 | − | 557.805i | 1.01975 | − | 1.01975i | 0.0199526 | − | 0.999801i | \(-0.493648\pi\) |
0.999801 | − | 0.0199526i | \(-0.00635154\pi\) | |||||||
\(548\) | −61.4447 | −0.112125 | ||||||||
\(549\) | 830.060i | 1.51195i | ||||||||
\(550\) | 1.37642 | 0.00250259 | ||||||||
\(551\) | 383.008i | 0.695115i | ||||||||
\(552\) | 0.560202 | 0.00101486 | ||||||||
\(553\) | 361.632 | − | 361.632i | 0.653946 | − | 0.653946i | ||||
\(554\) | − | 4.08331i | − | 0.00737060i | ||||||
\(555\) | 52.8659i | 0.0952538i | ||||||||
\(556\) | 80.6553 | − | 80.6553i | 0.145063 | − | 0.145063i | ||||
\(557\) | 175.481i | 0.315046i | 0.987515 | + | 0.157523i | \(0.0503509\pi\) | ||||
−0.987515 | + | 0.157523i | \(0.949649\pi\) | |||||||
\(558\) | 1.37099 | 0.00245696 | ||||||||
\(559\) | 22.4000 | + | 22.4000i | 0.0400715 | + | 0.0400715i | ||||
\(560\) | −192.748 | − | 192.748i | −0.344193 | − | 0.344193i | ||||
\(561\) | 7.51707 | − | 7.51707i | 0.0133994 | − | 0.0133994i | ||||
\(562\) | 1.99898i | 0.00355691i | ||||||||
\(563\) | 684.768i | 1.21628i | 0.793828 | + | 0.608142i | \(0.208085\pi\) | ||||
−0.793828 | + | 0.608142i | \(0.791915\pi\) | |||||||
\(564\) | 74.3566 | − | 74.3566i | 0.131838 | − | 0.131838i | ||||
\(565\) | −129.877 | −0.229871 | ||||||||
\(566\) | 0.501863 | 0.000886684 | ||||||||
\(567\) | 459.826i | 0.810980i | ||||||||
\(568\) | − | 7.12135i | − | 0.0125376i | ||||||
\(569\) | −406.858 | −0.715040 | −0.357520 | − | 0.933906i | \(-0.616378\pi\) | ||||
−0.357520 | + | 0.933906i | \(0.616378\pi\) | |||||||
\(570\) | 0.0773643 | − | 0.0773643i | 0.000135727 | − | 0.000135727i | ||||
\(571\) | −235.347 | + | 235.347i | −0.412166 | + | 0.412166i | −0.882492 | − | 0.470327i | \(-0.844136\pi\) |
0.470327 | + | 0.882492i | \(0.344136\pi\) | |||||||
\(572\) | 264.593 | 0.462576 | ||||||||
\(573\) | 13.7429 | − | 13.7429i | 0.0239841 | − | 0.0239841i | ||||
\(574\) | −1.67598 | + | 1.67598i | −0.00291983 | + | 0.00291983i | ||||
\(575\) | − | 349.458i | − | 0.607753i | ||||||
\(576\) | 569.319 | 0.988401 | ||||||||
\(577\) | 242.576 | − | 242.576i | 0.420409 | − | 0.420409i | −0.464936 | − | 0.885344i | \(-0.653923\pi\) |
0.885344 | + | 0.464936i | \(0.153923\pi\) | |||||||
\(578\) | 1.99252 | + | 1.99252i | 0.00344726 | + | 0.00344726i | ||||
\(579\) | −50.1471 | + | 50.1471i | −0.0866098 | + | 0.0866098i | ||||
\(580\) | −276.696 | − | 276.696i | −0.477061 | − | 0.477061i | ||||
\(581\) | −91.9128 | −0.158198 | ||||||||
\(582\) | −0.0845989 | −0.000145359 | ||||||||
\(583\) | 36.8867 | − | 36.8867i | 0.0632705 | − | 0.0632705i | ||||
\(584\) | −0.248781 | −0.000425995 | ||||||||
\(585\) | 213.235 | 0.364504 | ||||||||
\(586\) | −0.627286 | − | 0.627286i | −0.00107045 | − | 0.00107045i | ||||
\(587\) | 318.880 | 0.543237 | 0.271619 | − | 0.962405i | \(-0.412441\pi\) | ||||
0.271619 | + | 0.962405i | \(0.412441\pi\) | |||||||
\(588\) | 13.1149 | + | 13.1149i | 0.0223042 | + | 0.0223042i | ||||
\(589\) | −119.297 | − | 119.297i | −0.202542 | − | 0.202542i | ||||
\(590\) | 2.98958i | 0.00506709i | ||||||||
\(591\) | 38.8747 | + | 49.8428i | 0.0657779 | + | 0.0843364i | ||||
\(592\) | −909.357 | −1.53608 | ||||||||
\(593\) | 32.5096 | − | 32.5096i | 0.0548223 | − | 0.0548223i | −0.679164 | − | 0.733986i | \(-0.737658\pi\) |
0.733986 | + | 0.679164i | \(0.237658\pi\) | |||||||
\(594\) | 0.336742 | − | 0.336742i | 0.000566906 | − | 0.000566906i | ||||
\(595\) | − | 70.5567i | − | 0.118583i | ||||||
\(596\) | 764.124 | − | 764.124i | 1.28209 | − | 1.28209i | ||||
\(597\) | − | 33.8746i | − | 0.0567414i | ||||||
\(598\) | 1.80445i | 0.00301748i | ||||||||
\(599\) | −251.559 | − | 251.559i | −0.419965 | − | 0.419965i | 0.465227 | − | 0.885192i | \(-0.345973\pi\) |
−0.885192 | + | 0.465227i | \(0.845973\pi\) | |||||||
\(600\) | − | 0.441606i | − | 0.000736010i | ||||||
\(601\) | − | 114.185i | − | 0.189992i | −0.995478 | − | 0.0949961i | \(-0.969716\pi\) | ||
0.995478 | − | 0.0949961i | \(-0.0302839\pi\) | |||||||
\(602\) | 0.165060 | − | 0.165060i | 0.000274185 | − | 0.000274185i | ||||
\(603\) | 685.246 | + | 685.246i | 1.13639 | + | 1.13639i | ||||
\(604\) | −647.740 | + | 647.740i | −1.07242 | + | 1.07242i | ||||
\(605\) | −116.813 | − | 116.813i | −0.193079 | − | 0.193079i | ||||
\(606\) | − | 0.437913i | − | 0.000722629i | ||||||
\(607\) | 552.493 | 0.910203 | 0.455102 | − | 0.890439i | \(-0.349603\pi\) | ||||
0.455102 | + | 0.890439i | \(0.349603\pi\) | |||||||
\(608\) | 3.99246 | + | 3.99246i | 0.00656654 | + | 0.00656654i | ||||
\(609\) | −45.0077 | − | 45.0077i | −0.0739043 | − | 0.0739043i | ||||
\(610\) | − | 2.80320i | − | 0.00459541i | ||||||
\(611\) | 479.024 | + | 479.024i | 0.784000 | + | 0.784000i | ||||
\(612\) | 104.207 | + | 104.207i | 0.170273 | + | 0.170273i | ||||
\(613\) | 799.816i | 1.30476i | 0.757893 | + | 0.652379i | \(0.226229\pi\) | ||||
−0.757893 | + | 0.652379i | \(0.773771\pi\) | |||||||
\(614\) | −3.69977 | −0.00602569 | ||||||||
\(615\) | −36.1834 | −0.0588348 | ||||||||
\(616\) | − | 3.89950i | − | 0.00633035i | ||||||
\(617\) | 765.442i | 1.24059i | 0.784370 | + | 0.620293i | \(0.212986\pi\) | ||||
−0.784370 | + | 0.620293i | \(0.787014\pi\) | |||||||
\(618\) | −0.0549365 | − | 0.0549365i | −8.88940e−5 | − | 8.88940e-5i | ||||
\(619\) | −901.535 | −1.45644 | −0.728219 | − | 0.685345i | \(-0.759652\pi\) | ||||
−0.728219 | + | 0.685345i | \(0.759652\pi\) | |||||||
\(620\) | 172.367 | 0.278011 | ||||||||
\(621\) | −85.4950 | − | 85.4950i | −0.137673 | − | 0.137673i | ||||
\(622\) | 2.46089 | − | 2.46089i | 0.00395642 | − | 0.00395642i | ||||
\(623\) | 225.627 | − | 225.627i | 0.362162 | − | 0.362162i | ||||
\(624\) | − | 42.4438i | − | 0.0680189i | ||||||
\(625\) | −65.4145 | −0.104663 | ||||||||
\(626\) | 0.619026 | + | 0.619026i | 0.000988859 | + | 0.000988859i | ||||
\(627\) | −29.1332 | −0.0464645 | ||||||||
\(628\) | −344.970 | −0.549316 | ||||||||
\(629\) | −166.438 | − | 166.438i | −0.264608 | − | 0.264608i | ||||
\(630\) | − | 1.57127i | − | 0.00249408i | ||||||
\(631\) | 416.921 | 0.660731 | 0.330366 | − | 0.943853i | \(-0.392828\pi\) | ||||
0.330366 | + | 0.943853i | \(0.392828\pi\) | |||||||
\(632\) | − | 7.21501i | − | 0.0114162i | ||||||
\(633\) | −64.4740 | −0.101855 | ||||||||
\(634\) | − | 2.08275i | − | 0.00328509i | ||||||
\(635\) | −370.380 | − | 370.380i | −0.583276 | − | 0.583276i | ||||
\(636\) | −5.91721 | − | 5.91721i | −0.00930379 | − | 0.00930379i | ||||
\(637\) | −84.4894 | + | 84.4894i | −0.132636 | + | 0.132636i | ||||
\(638\) | − | 2.79881i | − | 0.00438686i | ||||||
\(639\) | −540.285 | + | 540.285i | −0.845517 | + | 0.845517i | ||||
\(640\) | −7.69132 | −0.0120177 | ||||||||
\(641\) | 341.347 | + | 341.347i | 0.532523 | + | 0.532523i | 0.921322 | − | 0.388799i | \(-0.127110\pi\) |
−0.388799 | + | 0.921322i | \(0.627110\pi\) | |||||||
\(642\) | −0.0255417 | −3.97847e−5 | ||||||||
\(643\) | −882.329 | − | 882.329i | −1.37221 | − | 1.37221i | −0.857165 | − | 0.515042i | \(-0.827776\pi\) |
−0.515042 | − | 0.857165i | \(-0.672224\pi\) | |||||||
\(644\) | −495.012 | −0.768653 | ||||||||
\(645\) | 3.56353 | 0.00552486 | ||||||||
\(646\) | 0.487133i | 0.000754077i | ||||||||
\(647\) | −775.713 | + | 775.713i | −1.19894 | + | 1.19894i | −0.224454 | + | 0.974485i | \(0.572060\pi\) |
−0.974485 | + | 0.224454i | \(0.927940\pi\) | |||||||
\(648\) | 4.58705 | + | 4.58705i | 0.00707878 | + | 0.00707878i | ||||
\(649\) | 562.896 | − | 562.896i | 0.867328 | − | 0.867328i | ||||
\(650\) | 1.42245 | 0.00218838 | ||||||||
\(651\) | 28.0374 | 0.0430683 | ||||||||
\(652\) | −302.125 | −0.463381 | ||||||||
\(653\) | 885.398i | 1.35589i | 0.735112 | + | 0.677946i | \(0.237130\pi\) | ||||
−0.735112 | + | 0.677946i | \(0.762870\pi\) | |||||||
\(654\) | −0.123834 | −0.000189348 | ||||||||
\(655\) | − | 61.2480i | − | 0.0935085i | ||||||
\(656\) | − | 622.398i | − | 0.948778i | ||||||
\(657\) | 18.8746 | + | 18.8746i | 0.0287285 | + | 0.0287285i | ||||
\(658\) | 3.52981 | − | 3.52981i | 0.00536445 | − | 0.00536445i | ||||
\(659\) | 52.5487 | − | 52.5487i | 0.0797400 | − | 0.0797400i | −0.666112 | − | 0.745852i | \(-0.732043\pi\) |
0.745852 | + | 0.666112i | \(0.232043\pi\) | |||||||
\(660\) | 21.0466 | − | 21.0466i | 0.0318888 | − | 0.0318888i | ||||
\(661\) | −931.681 | −1.40950 | −0.704751 | − | 0.709455i | \(-0.748941\pi\) | ||||
−0.704751 | + | 0.709455i | \(0.748941\pi\) | |||||||
\(662\) | 1.55966 | + | 1.55966i | 0.00235599 | + | 0.00235599i | ||||
\(663\) | 7.76843 | − | 7.76843i | 0.0117171 | − | 0.0117171i | ||||
\(664\) | −0.916887 | + | 0.916887i | −0.00138085 | + | 0.00138085i | ||||
\(665\) | −136.725 | + | 136.725i | −0.205602 | + | 0.205602i | ||||
\(666\) | −3.70652 | − | 3.70652i | −0.00556534 | − | 0.00556534i | ||||
\(667\) | −710.587 | −1.06535 | ||||||||
\(668\) | 513.255 | + | 513.255i | 0.768345 | + | 0.768345i | ||||
\(669\) | −25.4779 | − | 25.4779i | −0.0380836 | − | 0.0380836i | ||||
\(670\) | −2.31415 | − | 2.31415i | −0.00345395 | − | 0.00345395i | ||||
\(671\) | −527.803 | + | 527.803i | −0.786592 | + | 0.786592i | ||||
\(672\) | −0.938316 | −0.00139630 | ||||||||
\(673\) | 421.492 | + | 421.492i | 0.626288 | + | 0.626288i | 0.947132 | − | 0.320844i | \(-0.103967\pi\) |
−0.320844 | + | 0.947132i | \(0.603967\pi\) | |||||||
\(674\) | 5.01129i | 0.00743515i | ||||||||
\(675\) | −67.3955 | + | 67.3955i | −0.0998452 | + | 0.0998452i | ||||
\(676\) | −402.541 | −0.595475 | ||||||||
\(677\) | −654.188 | − | 654.188i | −0.966304 | − | 0.966304i | 0.0331466 | − | 0.999451i | \(-0.489447\pi\) |
−0.999451 | + | 0.0331466i | \(0.989447\pi\) | |||||||
\(678\) | −0.105371 | + | 0.105371i | −0.000155415 | + | 0.000155415i | ||||
\(679\) | 149.511 | 0.220192 | ||||||||
\(680\) | −0.703847 | − | 0.703847i | −0.00103507 | − | 0.00103507i | ||||
\(681\) | −114.056 | −0.167483 | ||||||||
\(682\) | 0.871757 | + | 0.871757i | 0.00127824 | + | 0.00127824i | ||||
\(683\) | − | 643.512i | − | 0.942184i | −0.882084 | − | 0.471092i | \(-0.843860\pi\) | ||
0.882084 | − | 0.471092i | \(-0.156140\pi\) | |||||||
\(684\) | − | 403.866i | − | 0.590448i | ||||||
\(685\) | −31.4866 | − | 31.4866i | −0.0459658 | − | 0.0459658i | ||||
\(686\) | 2.73355 | + | 2.73355i | 0.00398477 | + | 0.00398477i | ||||
\(687\) | − | 103.173i | − | 0.150179i | ||||||
\(688\) | 61.2971i | 0.0890946i | ||||||||
\(689\) | 38.1201 | − | 38.1201i | 0.0553267 | − | 0.0553267i | ||||
\(690\) | 0.143532 | + | 0.143532i | 0.000208018 | + | 0.000208018i | ||||
\(691\) | 311.201 | 0.450363 | 0.225181 | − | 0.974317i | \(-0.427703\pi\) | ||||
0.225181 | + | 0.974317i | \(0.427703\pi\) | |||||||
\(692\) | −691.927 | −0.999894 | ||||||||
\(693\) | −295.848 | + | 295.848i | −0.426910 | + | 0.426910i | ||||
\(694\) | −0.263271 | + | 0.263271i | −0.000379353 | + | 0.000379353i | ||||
\(695\) | 82.6616 | 0.118938 | ||||||||
\(696\) | −0.897960 | −0.00129017 | ||||||||
\(697\) | 113.917 | − | 113.917i | 0.163438 | − | 0.163438i | ||||
\(698\) | − | 2.24449i | − | 0.00321560i | ||||||
\(699\) | 24.2435 | − | 24.2435i | 0.0346832 | − | 0.0346832i | ||||
\(700\) | 390.217i | 0.557453i | ||||||||
\(701\) | 401.880 | + | 401.880i | 0.573295 | + | 0.573295i | 0.933048 | − | 0.359753i | \(-0.117139\pi\) |
−0.359753 | + | 0.933048i | \(0.617139\pi\) | |||||||
\(702\) | 0.348002 | − | 0.348002i | 0.000495729 | − | 0.000495729i | ||||
\(703\) | 645.049i | 0.917566i | ||||||||
\(704\) | 362.008 | + | 362.008i | 0.514216 | + | 0.514216i | ||||
\(705\) | 76.2063 | 0.108094 | ||||||||
\(706\) | −2.93751 | + | 2.93751i | −0.00416078 | + | 0.00416078i | ||||
\(707\) | 773.919i | 1.09465i | ||||||||
\(708\) | −90.2974 | − | 90.2974i | −0.127539 | − | 0.127539i | ||||
\(709\) | 806.040 | − | 806.040i | 1.13687 | − | 1.13687i | 0.147860 | − | 0.989008i | \(-0.452761\pi\) |
0.989008 | − | 0.147860i | \(-0.0472386\pi\) | |||||||
\(710\) | 1.82460 | − | 1.82460i | 0.00256986 | − | 0.00256986i | ||||
\(711\) | −547.391 | + | 547.391i | −0.769889 | + | 0.769889i | ||||
\(712\) | − | 4.50153i | − | 0.00632238i | ||||||
\(713\) | 221.329 | − | 221.329i | 0.310420 | − | 0.310420i | ||||
\(714\) | −0.0572436 | − | 0.0572436i | −8.01731e−5 | − | 8.01731e-5i | ||||
\(715\) | 135.588 | + | 135.588i | 0.189633 | + | 0.189633i | ||||
\(716\) | 247.024 | + | 247.024i | 0.345005 | + | 0.345005i | ||||
\(717\) | −13.8700 | + | 13.8700i | −0.0193445 | + | 0.0193445i | ||||
\(718\) | − | 0.797372i | − | 0.00111055i | ||||||
\(719\) | 211.161 | + | 211.161i | 0.293688 | + | 0.293688i | 0.838535 | − | 0.544848i | \(-0.183412\pi\) |
−0.544848 | + | 0.838535i | \(0.683412\pi\) | |||||||
\(720\) | 291.756 | + | 291.756i | 0.405217 | + | 0.405217i | ||||
\(721\) | 97.0886 | + | 97.0886i | 0.134658 | + | 0.134658i | ||||
\(722\) | −1.70196 | + | 1.70196i | −0.00235729 | + | 0.00235729i | ||||
\(723\) | 18.3375 | 0.0253631 | ||||||||
\(724\) | 389.763 | 0.538347 | ||||||||
\(725\) | 560.154i | 0.772626i | ||||||||
\(726\) | −0.189543 | −0.000261079 | ||||||||
\(727\) | − | 512.206i | − | 0.704547i | −0.935897 | − | 0.352274i | \(-0.885409\pi\) | ||
0.935897 | − | 0.352274i | \(-0.114591\pi\) | |||||||
\(728\) | − | 4.02989i | − | 0.00553556i | ||||||
\(729\) | − | 679.440i | − | 0.932017i | ||||||
\(730\) | −0.0637415 | − | 0.0637415i | −8.73171e−5 | − | 8.73171e-5i | ||||
\(731\) | −11.2191 | + | 11.2191i | −0.0153476 | + | 0.0153476i | ||||
\(732\) | 84.6680 | + | 84.6680i | 0.115667 | + | 0.115667i | ||||
\(733\) | 1317.24 | 1.79706 | 0.898528 | − | 0.438917i | \(-0.144638\pi\) | ||||
0.898528 | + | 0.438917i | \(0.144638\pi\) | |||||||
\(734\) | − | 6.44315i | − | 0.00877814i | ||||||
\(735\) | 13.4411i | 0.0182872i | ||||||||
\(736\) | −7.40712 | + | 7.40712i | −0.0100640 | + | 0.0100640i | ||||
\(737\) | 871.443i | 1.18242i | ||||||||
\(738\) | 2.53688 | − | 2.53688i | 0.00343751 | − | 0.00343751i | ||||
\(739\) | 857.242i | 1.16000i | 0.814616 | + | 0.580001i | \(0.196948\pi\) | ||||
−0.814616 | + | 0.580001i | \(0.803052\pi\) | |||||||
\(740\) | −466.001 | − | 466.001i | −0.629731 | − | 0.629731i | ||||
\(741\) | −30.1074 | −0.0406307 | ||||||||
\(742\) | −0.280898 | − | 0.280898i | −0.000378568 | − | 0.000378568i | ||||
\(743\) | 142.304 | − | 142.304i | 0.191526 | − | 0.191526i | −0.604829 | − | 0.796355i | \(-0.706759\pi\) |
0.796355 | + | 0.604829i | \(0.206759\pi\) | |||||||
\(744\) | 0.279691 | − | 0.279691i | 0.000375929 | − | 0.000375929i | ||||
\(745\) | 783.132 | 1.05118 | ||||||||
\(746\) | − | 5.46209i | − | 0.00732184i | ||||||
\(747\) | 139.125 | 0.186246 | ||||||||
\(748\) | 132.523i | 0.177169i | ||||||||
\(749\) | 45.1396 | 0.0602665 | ||||||||
\(750\) | 0.283573 | − | 0.283573i | 0.000378097 | − | 0.000378097i | ||||
\(751\) | − | 954.184i | − | 1.27055i | −0.772285 | − | 0.635276i | \(-0.780886\pi\) | ||
0.772285 | − | 0.635276i | \(-0.219114\pi\) | |||||||
\(752\) | 1310.84i | 1.74314i | ||||||||
\(753\) | 63.6303 | − | 63.6303i | 0.0845024 | − | 0.0845024i | ||||
\(754\) | − | 2.89240i | − | 0.00383607i | ||||||
\(755\) | −663.852 | −0.879275 | ||||||||
\(756\) | 95.4667 | + | 95.4667i | 0.126279 | + | 0.126279i | ||||
\(757\) | −458.813 | − | 458.813i | −0.606093 | − | 0.606093i | 0.335829 | − | 0.941923i | \(-0.390983\pi\) |
−0.941923 | + | 0.335829i | \(0.890983\pi\) | |||||||
\(758\) | 2.72899 | − | 2.72899i | 0.00360026 | − | 0.00360026i | ||||
\(759\) | − | 54.0502i | − | 0.0712124i | ||||||
\(760\) | 2.72783i | 0.00358925i | ||||||||
\(761\) | 273.306 | − | 273.306i | 0.359141 | − | 0.359141i | −0.504355 | − | 0.863496i | \(-0.668270\pi\) |
0.863496 | + | 0.504355i | \(0.168270\pi\) | |||||||
\(762\) | −0.600989 | −0.000788700 | ||||||||
\(763\) | 218.850 | 0.286829 | ||||||||
\(764\) | 242.281i | 0.317121i | ||||||||
\(765\) | 106.799i | 0.139607i | ||||||||
\(766\) | −6.53214 | −0.00852760 | ||||||||
\(767\) | 581.718 | − | 581.718i | 0.758433 | − | 0.758433i | ||||
\(768\) | 58.0671 | − | 58.0671i | 0.0756082 | − | 0.0756082i | ||||
\(769\) | −51.2391 | −0.0666309 | −0.0333154 | − | 0.999445i | \(-0.510607\pi\) | ||||
−0.0333154 | + | 0.999445i | \(0.510607\pi\) | |||||||
\(770\) | 0.999111 | − | 0.999111i | 0.00129755 | − | 0.00129755i | ||||
\(771\) | −43.7315 | + | 43.7315i | −0.0567205 | + | 0.0567205i | ||||
\(772\) | − | 884.070i | − | 1.14517i | ||||||
\(773\) | 1036.82 | 1.34130 | 0.670648 | − | 0.741776i | \(-0.266016\pi\) | ||||
0.670648 | + | 0.741776i | \(0.266016\pi\) | |||||||
\(774\) |