Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [350,3,Mod(199,350)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(350, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("350.199");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 350 = 2 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 350.i (of order \(6\), degree \(2\), not 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: | \(9.53680925261\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 14) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 299.4 | ||
Root | \(-0.965926 + 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 350.299 |
Dual form | 350.3.i.a.199.4 |
$q$-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 \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.22474 | + | 0.707107i | 0.612372 | + | 0.353553i | ||||
\(3\) | 2.09077 | + | 3.62132i | 0.696923 | + | 1.20711i | 0.969528 | + | 0.244981i | \(0.0787816\pi\) |
−0.272605 | + | 0.962126i | \(0.587885\pi\) | |||||||
\(4\) | 1.00000 | + | 1.73205i | 0.250000 | + | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 5.91359i | 0.985599i | ||||||||
\(7\) | 6.63103 | − | 2.24264i | 0.947290 | − | 0.320377i | ||||
\(8\) | 2.82843i | 0.353553i | ||||||||
\(9\) | −4.24264 | + | 7.34847i | −0.471405 | + | 0.816497i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 6.62132 | + | 11.4685i | 0.601938 | + | 1.04259i | 0.992527 | + | 0.122022i | \(0.0389380\pi\) |
−0.390589 | + | 0.920565i | \(0.627729\pi\) | |||||||
\(12\) | −4.18154 | + | 7.24264i | −0.348462 | + | 0.603553i | ||||
\(13\) | −5.49333 | −0.422563 | −0.211282 | − | 0.977425i | \(-0.567764\pi\) | ||||
−0.211282 | + | 0.977425i | \(0.567764\pi\) | |||||||
\(14\) | 9.70711 | + | 1.94218i | 0.693365 | + | 0.138727i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | + | 3.46410i | −0.125000 | + | 0.216506i | ||||
\(17\) | −6.77962 | − | 11.7426i | −0.398801 | − | 0.690744i | 0.594777 | − | 0.803891i | \(-0.297240\pi\) |
−0.993578 | + | 0.113147i | \(0.963907\pi\) | |||||||
\(18\) | −10.3923 | + | 6.00000i | −0.577350 | + | 0.333333i | ||||
\(19\) | 0.621320 | + | 0.358719i | 0.0327011 | + | 0.0188800i | 0.516261 | − | 0.856431i | \(-0.327323\pi\) |
−0.483560 | + | 0.875311i | \(0.660657\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 21.9853 | + | 19.3242i | 1.04692 | + | 0.920202i | ||||
\(22\) | 18.7279i | 0.851269i | ||||||||
\(23\) | −1.96768 | − | 1.13604i | −0.0855512 | − | 0.0493930i | 0.456614 | − | 0.889665i | \(-0.349062\pi\) |
−0.542165 | + | 0.840272i | \(0.682395\pi\) | |||||||
\(24\) | −10.2426 | + | 5.91359i | −0.426777 | + | 0.246400i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −6.72792 | − | 3.88437i | −0.258766 | − | 0.149399i | ||||
\(27\) | 2.15232 | 0.0797154 | ||||||||
\(28\) | 10.5154 | + | 9.24264i | 0.375550 | + | 0.330094i | ||||
\(29\) | −20.4853 | −0.706389 | −0.353195 | − | 0.935550i | \(-0.614905\pi\) | ||||
−0.353195 | + | 0.935550i | \(0.614905\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 21.3198 | − | 12.3090i | 0.687736 | − | 0.397064i | −0.115028 | − | 0.993362i | \(-0.536696\pi\) |
0.802763 | + | 0.596298i | \(0.203362\pi\) | |||||||
\(32\) | −4.89898 | + | 2.82843i | −0.153093 | + | 0.0883883i | ||||
\(33\) | −27.6873 | + | 47.9558i | −0.839010 | + | 1.45321i | ||||
\(34\) | − | 19.1757i | − | 0.563990i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −16.9706 | −0.471405 | ||||||||
\(37\) | −56.2407 | − | 32.4706i | −1.52002 | − | 0.877583i | −0.999722 | − | 0.0235970i | \(-0.992488\pi\) |
−0.520296 | − | 0.853986i | \(-0.674179\pi\) | |||||||
\(38\) | 0.507306 | + | 0.878680i | 0.0133502 | + | 0.0231231i | ||||
\(39\) | −11.4853 | − | 19.8931i | −0.294494 | − | 0.510079i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 21.0308i | − | 0.512946i | −0.966551 | − | 0.256473i | \(-0.917439\pi\) | ||
0.966551 | − | 0.256473i | \(-0.0825605\pi\) | |||||||
\(42\) | 13.2621 | + | 39.2132i | 0.315763 | + | 0.933648i | ||||
\(43\) | − | 6.48528i | − | 0.150820i | −0.997153 | − | 0.0754102i | \(-0.975973\pi\) | ||
0.997153 | − | 0.0754102i | \(-0.0240266\pi\) | |||||||
\(44\) | −13.2426 | + | 22.9369i | −0.300969 | + | 0.521294i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.60660 | − | 2.78272i | −0.0349261 | − | 0.0604938i | ||||
\(47\) | −23.8900 | + | 41.3787i | −0.508298 | + | 0.880397i | 0.491656 | + | 0.870789i | \(0.336392\pi\) |
−0.999954 | + | 0.00960801i | \(0.996942\pi\) | |||||||
\(48\) | −16.7262 | −0.348462 | ||||||||
\(49\) | 38.9411 | − | 29.7420i | 0.794717 | − | 0.606980i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 28.3492 | − | 49.1023i | 0.555867 | − | 0.962791i | ||||
\(52\) | −5.49333 | − | 9.51472i | −0.105641 | − | 0.182975i | ||||
\(53\) | −19.0781 | + | 11.0147i | −0.359963 | + | 0.207825i | −0.669065 | − | 0.743204i | \(-0.733305\pi\) |
0.309101 | + | 0.951029i | \(0.399972\pi\) | |||||||
\(54\) | 2.63604 | + | 1.52192i | 0.0488155 | + | 0.0281837i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 6.34315 | + | 18.7554i | 0.113270 | + | 0.334918i | ||||
\(57\) | 3.00000i | 0.0526316i | ||||||||
\(58\) | −25.0892 | − | 14.4853i | −0.432573 | − | 0.249746i | ||||
\(59\) | 72.5330 | − | 41.8770i | 1.22937 | − | 0.709779i | 0.262474 | − | 0.964939i | \(-0.415462\pi\) |
0.966899 | + | 0.255160i | \(0.0821282\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 57.3823 | + | 33.1297i | 0.940693 | + | 0.543109i | 0.890177 | − | 0.455614i | \(-0.150580\pi\) |
0.0505153 | + | 0.998723i | \(0.483914\pi\) | |||||||
\(62\) | 34.8151 | 0.561534 | ||||||||
\(63\) | −11.6531 | + | 58.2426i | −0.184970 | + | 0.924486i | ||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −67.8198 | + | 39.1558i | −1.02757 | + | 0.593269i | ||||
\(67\) | 80.2283 | − | 46.3198i | 1.19744 | − | 0.691340i | 0.237454 | − | 0.971399i | \(-0.423687\pi\) |
0.959983 | + | 0.280058i | \(0.0903539\pi\) | |||||||
\(68\) | 13.5592 | − | 23.4853i | 0.199400 | − | 0.345372i | ||||
\(69\) | − | 9.50079i | − | 0.137693i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −48.4264 | −0.682062 | −0.341031 | − | 0.940052i | \(-0.610776\pi\) | ||||
−0.341031 | + | 0.940052i | \(0.610776\pi\) | |||||||
\(72\) | −20.7846 | − | 12.0000i | −0.288675 | − | 0.166667i | ||||
\(73\) | −65.4953 | − | 113.441i | −0.897195 | − | 1.55399i | −0.831064 | − | 0.556177i | \(-0.812268\pi\) |
−0.0661316 | − | 0.997811i | \(-0.521066\pi\) | |||||||
\(74\) | −45.9203 | − | 79.5363i | −0.620545 | − | 1.07482i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.43488i | 0.0188800i | ||||||||
\(77\) | 69.6258 | + | 61.1985i | 0.904231 | + | 0.794786i | ||||
\(78\) | − | 32.4853i | − | 0.416478i | ||||||
\(79\) | −38.1066 | + | 66.0026i | −0.482362 | + | 0.835476i | −0.999795 | − | 0.0202482i | \(-0.993554\pi\) |
0.517433 | + | 0.855724i | \(0.326888\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 42.6838 | + | 73.9305i | 0.526960 | + | 0.912722i | ||||
\(82\) | 14.8710 | − | 25.7574i | 0.181354 | − | 0.314114i | ||||
\(83\) | 107.981 | 1.30098 | 0.650491 | − | 0.759514i | \(-0.274563\pi\) | ||||
0.650491 | + | 0.759514i | \(0.274563\pi\) | |||||||
\(84\) | −11.4853 | + | 57.4039i | −0.136730 | + | 0.683379i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 4.58579 | − | 7.94282i | 0.0533231 | − | 0.0923583i | ||||
\(87\) | −42.8300 | − | 74.1838i | −0.492299 | − | 0.852687i | ||||
\(88\) | −32.4377 | + | 18.7279i | −0.368610 | + | 0.212817i | ||||
\(89\) | 145.412 | + | 83.9535i | 1.63384 | + | 0.943297i | 0.982894 | + | 0.184173i | \(0.0589606\pi\) |
0.650945 | + | 0.759125i | \(0.274373\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −36.4264 | + | 12.3196i | −0.400290 | + | 0.135380i | ||||
\(92\) | − | 4.54416i | − | 0.0493930i | ||||||
\(93\) | 89.1496 | + | 51.4706i | 0.958598 | + | 0.553447i | ||||
\(94\) | −58.5183 | + | 33.7856i | −0.622535 | + | 0.359421i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −20.4853 | − | 11.8272i | −0.213388 | − | 0.123200i | ||||
\(97\) | −25.5816 | −0.263728 | −0.131864 | − | 0.991268i | \(-0.542096\pi\) | ||||
−0.131864 | + | 0.991268i | \(0.542096\pi\) | |||||||
\(98\) | 68.7237 | − | 8.89087i | 0.701263 | − | 0.0907232i | ||||
\(99\) | −112.368 | −1.13503 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 24.6838 | − | 14.2512i | 0.244394 | − | 0.141101i | −0.372801 | − | 0.927911i | \(-0.621603\pi\) |
0.617194 | + | 0.786811i | \(0.288269\pi\) | |||||||
\(102\) | 69.4412 | − | 40.0919i | 0.680796 | − | 0.393058i | ||||
\(103\) | 28.2456 | − | 48.9228i | 0.274229 | − | 0.474979i | −0.695711 | − | 0.718322i | \(-0.744911\pi\) |
0.969940 | + | 0.243343i | \(0.0782440\pi\) | |||||||
\(104\) | − | 15.5375i | − | 0.149399i | ||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −31.1543 | −0.293909 | ||||||||
\(107\) | −41.2316 | − | 23.8051i | −0.385342 | − | 0.222477i | 0.294798 | − | 0.955560i | \(-0.404748\pi\) |
−0.680140 | + | 0.733082i | \(0.738081\pi\) | |||||||
\(108\) | 2.15232 | + | 3.72792i | 0.0199289 | + | 0.0345178i | ||||
\(109\) | 37.6543 | + | 65.2192i | 0.345453 | + | 0.598341i | 0.985436 | − | 0.170047i | \(-0.0543921\pi\) |
−0.639983 | + | 0.768389i | \(0.721059\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 271.554i | − | 2.44643i | ||||||
\(112\) | −5.49333 | + | 27.4558i | −0.0490475 | + | 0.245141i | ||||
\(113\) | − | 85.4558i | − | 0.756246i | −0.925755 | − | 0.378123i | \(-0.876570\pi\) | ||
0.925755 | − | 0.378123i | \(-0.123430\pi\) | |||||||
\(114\) | −2.12132 | + | 3.67423i | −0.0186081 | + | 0.0322301i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −20.4853 | − | 35.4815i | −0.176597 | − | 0.305875i | ||||
\(117\) | 23.3062 | − | 40.3675i | 0.199198 | − | 0.345022i | ||||
\(118\) | 118.446 | 1.00378 | ||||||||
\(119\) | −71.2904 | − | 62.6616i | −0.599079 | − | 0.526568i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −27.1838 | + | 47.0837i | −0.224659 | + | 0.389121i | ||||
\(122\) | 46.8524 | + | 81.1508i | 0.384036 | + | 0.665170i | ||||
\(123\) | 76.1592 | − | 43.9706i | 0.619181 | − | 0.357484i | ||||
\(124\) | 42.6396 | + | 24.6180i | 0.343868 | + | 0.198532i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −55.4558 | + | 63.0924i | −0.440126 | + | 0.500733i | ||||
\(127\) | − | 60.6619i | − | 0.477653i | −0.971062 | − | 0.238826i | \(-0.923237\pi\) | ||
0.971062 | − | 0.238826i | \(-0.0767627\pi\) | |||||||
\(128\) | −9.79796 | − | 5.65685i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | 23.4853 | − | 13.5592i | 0.182056 | − | 0.105110i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −115.136 | − | 66.4738i | −0.878901 | − | 0.507434i | −0.00860515 | − | 0.999963i | \(-0.502739\pi\) |
−0.870296 | + | 0.492529i | \(0.836072\pi\) | |||||||
\(132\) | −110.749 | −0.839010 | ||||||||
\(133\) | 4.92447 | + | 0.985281i | 0.0370261 | + | 0.00740813i | ||||
\(134\) | 131.012 | 0.977703 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 33.2132 | − | 19.1757i | 0.244215 | − | 0.140997i | ||||
\(137\) | −101.694 | + | 58.7132i | −0.742294 | + | 0.428564i | −0.822903 | − | 0.568182i | \(-0.807647\pi\) |
0.0806089 | + | 0.996746i | \(0.474314\pi\) | |||||||
\(138\) | 6.71807 | − | 11.6360i | 0.0486817 | − | 0.0843191i | ||||
\(139\) | − | 68.5857i | − | 0.493422i | −0.969089 | − | 0.246711i | \(-0.920650\pi\) | ||
0.969089 | − | 0.246711i | \(-0.0793499\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −199.794 | −1.41698 | ||||||||
\(142\) | −59.3100 | − | 34.2426i | −0.417676 | − | 0.241145i | ||||
\(143\) | −36.3731 | − | 63.0000i | −0.254357 | − | 0.440559i | ||||
\(144\) | −16.9706 | − | 29.3939i | −0.117851 | − | 0.204124i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | − | 185.249i | − | 1.26883i | ||||||
\(147\) | 189.122 | + | 78.8345i | 1.28655 | + | 0.536289i | ||||
\(148\) | − | 129.882i | − | 0.877583i | ||||||
\(149\) | −13.1985 | + | 22.8604i | −0.0885804 | + | 0.153426i | −0.906911 | − | 0.421322i | \(-0.861566\pi\) |
0.818331 | + | 0.574747i | \(0.194900\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 67.1066 | + | 116.232i | 0.444415 | + | 0.769749i | 0.998011 | − | 0.0630363i | \(-0.0200784\pi\) |
−0.553597 | + | 0.832785i | \(0.686745\pi\) | |||||||
\(152\) | −1.01461 | + | 1.75736i | −0.00667508 | + | 0.0115616i | ||||
\(153\) | 115.054 | 0.751986 | ||||||||
\(154\) | 42.0000 | + | 124.185i | 0.272727 | + | 0.806399i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 22.9706 | − | 39.7862i | 0.147247 | − | 0.255040i | ||||
\(157\) | −113.347 | − | 196.323i | −0.721958 | − | 1.25047i | −0.960214 | − | 0.279265i | \(-0.909909\pi\) |
0.238256 | − | 0.971202i | \(-0.423424\pi\) | |||||||
\(158\) | −93.3417 | + | 53.8909i | −0.590770 | + | 0.341081i | ||||
\(159\) | −79.7756 | − | 46.0585i | −0.501734 | − | 0.289676i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −15.5955 | − | 3.12032i | −0.0968662 | − | 0.0193808i | ||||
\(162\) | 120.728i | 0.745234i | ||||||||
\(163\) | −79.6550 | − | 45.9889i | −0.488681 | − | 0.282140i | 0.235346 | − | 0.971912i | \(-0.424378\pi\) |
−0.724027 | + | 0.689771i | \(0.757711\pi\) | |||||||
\(164\) | 36.4264 | − | 21.0308i | 0.222112 | − | 0.128237i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 132.250 | + | 76.3544i | 0.796685 | + | 0.459967i | ||||
\(167\) | −203.482 | −1.21845 | −0.609227 | − | 0.792996i | \(-0.708520\pi\) | ||||
−0.609227 | + | 0.792996i | \(0.708520\pi\) | |||||||
\(168\) | −54.6572 | + | 62.1838i | −0.325340 | + | 0.370141i | ||||
\(169\) | −138.823 | −0.821440 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.27208 | + | 3.04384i | −0.0308309 | + | 0.0178002i | ||||
\(172\) | 11.2328 | − | 6.48528i | 0.0653072 | − | 0.0377051i | ||||
\(173\) | 35.4051 | − | 61.3234i | 0.204654 | − | 0.354470i | −0.745369 | − | 0.666652i | \(-0.767727\pi\) |
0.950022 | + | 0.312182i | \(0.101060\pi\) | |||||||
\(174\) | − | 121.142i | − | 0.696216i | ||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −52.9706 | −0.300969 | ||||||||
\(177\) | 303.300 | + | 175.110i | 1.71356 | + | 0.989323i | ||||
\(178\) | 118.728 | + | 205.643i | 0.667012 | + | 1.15530i | ||||
\(179\) | 54.4081 | + | 94.2376i | 0.303956 | + | 0.526467i | 0.977028 | − | 0.213109i | \(-0.0683591\pi\) |
−0.673072 | + | 0.739577i | \(0.735026\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 99.6607i | − | 0.550611i | −0.961357 | − | 0.275306i | \(-0.911221\pi\) | ||
0.961357 | − | 0.275306i | \(-0.0887791\pi\) | |||||||
\(182\) | −53.3243 | − | 10.6690i | −0.292991 | − | 0.0586211i | ||||
\(183\) | 277.066i | 1.51402i | ||||||||
\(184\) | 3.21320 | − | 5.56543i | 0.0174631 | − | 0.0302469i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 72.7904 | + | 126.077i | 0.391346 | + | 0.677831i | ||||
\(187\) | 89.7800 | − | 155.504i | 0.480107 | − | 0.831570i | ||||
\(188\) | −95.5600 | −0.508298 | ||||||||
\(189\) | 14.2721 | − | 4.82687i | 0.0755136 | − | 0.0255390i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −34.9523 | + | 60.5391i | −0.182996 | + | 0.316959i | −0.942899 | − | 0.333077i | \(-0.891913\pi\) |
0.759903 | + | 0.650036i | \(0.225246\pi\) | |||||||
\(192\) | −16.7262 | − | 28.9706i | −0.0871154 | − | 0.150888i | ||||
\(193\) | 28.0056 | − | 16.1690i | 0.145107 | − | 0.0837774i | −0.425689 | − | 0.904870i | \(-0.639968\pi\) |
0.570796 | + | 0.821092i | \(0.306635\pi\) | |||||||
\(194\) | −31.3310 | − | 18.0889i | −0.161500 | − | 0.0932419i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 90.4558 | + | 37.7060i | 0.461509 | + | 0.192377i | ||||
\(197\) | 277.103i | 1.40661i | 0.710887 | + | 0.703306i | \(0.248294\pi\) | ||||
−0.710887 | + | 0.703306i | \(0.751706\pi\) | |||||||
\(198\) | −137.622 | − | 79.4558i | −0.695058 | − | 0.401292i | ||||
\(199\) | −145.011 | + | 83.7222i | −0.728699 | + | 0.420715i | −0.817946 | − | 0.575295i | \(-0.804887\pi\) |
0.0892469 | + | 0.996010i | \(0.471554\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 335.478 | + | 193.688i | 1.66904 | + | 0.963623i | ||||
\(202\) | 40.3084 | 0.199547 | ||||||||
\(203\) | −135.839 | + | 45.9411i | −0.669155 | + | 0.226311i | ||||
\(204\) | 113.397 | 0.555867 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 69.1873 | − | 39.9453i | 0.335861 | − | 0.193909i | ||||
\(207\) | 16.6963 | − | 9.63961i | 0.0806584 | − | 0.0465682i | ||||
\(208\) | 10.9867 | − | 19.0294i | 0.0528204 | − | 0.0914877i | ||||
\(209\) | 9.50079i | 0.0454583i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −128.073 | −0.606982 | −0.303491 | − | 0.952834i | \(-0.598152\pi\) | ||||
−0.303491 | + | 0.952834i | \(0.598152\pi\) | |||||||
\(212\) | −38.1561 | − | 22.0294i | −0.179982 | − | 0.103912i | ||||
\(213\) | −101.248 | − | 175.368i | −0.475345 | − | 0.823322i | ||||
\(214\) | −33.6655 | − | 58.3103i | −0.157315 | − | 0.272478i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 6.08767i | 0.0281837i | ||||||||
\(217\) | 113.768 | − | 129.434i | 0.524275 | − | 0.596470i | ||||
\(218\) | 106.503i | 0.488544i | ||||||||
\(219\) | 273.871 | − | 474.359i | 1.25055 | − | 2.16602i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 37.2426 | + | 64.5061i | 0.168519 | + | 0.291883i | ||||
\(222\) | 192.018 | − | 332.584i | 0.864944 | − | 1.49813i | ||||
\(223\) | −417.169 | −1.87071 | −0.935357 | − | 0.353705i | \(-0.884922\pi\) | ||||
−0.935357 | + | 0.353705i | \(0.884922\pi\) | |||||||
\(224\) | −26.1421 | + | 29.7420i | −0.116706 | + | 0.132777i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 60.4264 | − | 104.662i | 0.267373 | − | 0.463104i | ||||
\(227\) | 116.130 | + | 201.143i | 0.511586 | + | 0.886093i | 0.999910 | + | 0.0134307i | \(0.00427525\pi\) |
−0.488324 | + | 0.872663i | \(0.662391\pi\) | |||||||
\(228\) | −5.19615 | + | 3.00000i | −0.0227901 | + | 0.0131579i | ||||
\(229\) | 72.4188 | + | 41.8110i | 0.316239 | + | 0.182581i | 0.649715 | − | 0.760178i | \(-0.274888\pi\) |
−0.333476 | + | 0.942759i | \(0.608222\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −76.0477 | + | 380.089i | −0.329211 | + | 1.64541i | ||||
\(232\) | − | 57.9411i | − | 0.249746i | ||||||
\(233\) | 189.723 | + | 109.537i | 0.814261 | + | 0.470114i | 0.848434 | − | 0.529302i | \(-0.177546\pi\) |
−0.0341721 | + | 0.999416i | \(0.510879\pi\) | |||||||
\(234\) | 57.0883 | − | 32.9600i | 0.243967 | − | 0.140854i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 145.066 | + | 83.7539i | 0.614687 | + | 0.354889i | ||||
\(237\) | −318.689 | −1.34468 | ||||||||
\(238\) | −43.0041 | − | 127.154i | −0.180689 | − | 0.534262i | ||||
\(239\) | −193.103 | −0.807961 | −0.403980 | − | 0.914768i | \(-0.632374\pi\) | ||||
−0.403980 | + | 0.914768i | \(0.632374\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 42.8970 | − | 24.7666i | 0.177996 | − | 0.102766i | −0.408355 | − | 0.912823i | \(-0.633897\pi\) |
0.586351 | + | 0.810057i | \(0.300564\pi\) | |||||||
\(242\) | −66.5864 | + | 38.4437i | −0.275150 | + | 0.158858i | ||||
\(243\) | −168.798 | + | 292.368i | −0.694644 | + | 1.20316i | ||||
\(244\) | 132.519i | 0.543109i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 124.368 | 0.505559 | ||||||||
\(247\) | −3.41311 | − | 1.97056i | −0.0138183 | − | 0.00797799i | ||||
\(248\) | 34.8151 | + | 60.3015i | 0.140383 | + | 0.243151i | ||||
\(249\) | 225.765 | + | 391.036i | 0.906685 | + | 1.57042i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 162.524i | 0.647507i | 0.946141 | + | 0.323754i | \(0.104945\pi\) | ||||
−0.946141 | + | 0.323754i | \(0.895055\pi\) | |||||||
\(252\) | −112.532 | + | 38.0589i | −0.446557 | + | 0.151027i | ||||
\(253\) | − | 30.0883i | − | 0.118926i | ||||||
\(254\) | 42.8944 | − | 74.2954i | 0.168876 | − | 0.292501i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 49.5798 | − | 85.8747i | 0.192917 | − | 0.334143i | −0.753298 | − | 0.657679i | \(-0.771538\pi\) |
0.946216 | + | 0.323536i | \(0.104872\pi\) | |||||||
\(258\) | 38.3513 | 0.148648 | ||||||||
\(259\) | −445.753 | − | 89.1857i | −1.72106 | − | 0.344346i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 86.9117 | − | 150.535i | 0.332995 | − | 0.576764i | ||||
\(262\) | −94.0082 | − | 162.827i | −0.358810 | − | 0.621477i | ||||
\(263\) | −376.154 | + | 217.173i | −1.43024 | + | 0.825751i | −0.997139 | − | 0.0755923i | \(-0.975915\pi\) |
−0.433105 | + | 0.901344i | \(0.642582\pi\) | |||||||
\(264\) | −135.640 | − | 78.3116i | −0.513786 | − | 0.296635i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 5.33452 | + | 4.68885i | 0.0200546 | + | 0.0176272i | ||||
\(267\) | 702.110i | 2.62962i | ||||||||
\(268\) | 160.457 | + | 92.6396i | 0.598718 | + | 0.345670i | ||||
\(269\) | 79.1619 | − | 45.7041i | 0.294282 | − | 0.169904i | −0.345589 | − | 0.938386i | \(-0.612321\pi\) |
0.639871 | + | 0.768482i | \(0.278988\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 14.8051 | + | 8.54772i | 0.0546313 | + | 0.0315414i | 0.527067 | − | 0.849824i | \(-0.323292\pi\) |
−0.472436 | + | 0.881365i | \(0.656625\pi\) | |||||||
\(272\) | 54.2369 | 0.199400 | ||||||||
\(273\) | −120.772 | − | 106.154i | −0.442389 | − | 0.388844i | ||||
\(274\) | −166.066 | −0.606080 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 16.4558 | − | 9.50079i | 0.0596226 | − | 0.0344231i | ||||
\(277\) | −346.766 | + | 200.206i | −1.25186 | + | 0.722764i | −0.971479 | − | 0.237124i | \(-0.923795\pi\) |
−0.280385 | + | 0.959888i | \(0.590462\pi\) | |||||||
\(278\) | 48.4974 | − | 84.0000i | 0.174451 | − | 0.302158i | ||||
\(279\) | 208.891i | 0.748712i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −538.690 | −1.91705 | −0.958524 | − | 0.285012i | \(-0.908002\pi\) | ||||
−0.958524 | + | 0.285012i | \(0.908002\pi\) | |||||||
\(282\) | −244.697 | − | 141.276i | −0.867718 | − | 0.500977i | ||||
\(283\) | 154.604 | + | 267.783i | 0.546306 | + | 0.946229i | 0.998523 | + | 0.0543215i | \(0.0172996\pi\) |
−0.452218 | + | 0.891907i | \(0.649367\pi\) | |||||||
\(284\) | −48.4264 | − | 83.8770i | −0.170516 | − | 0.295342i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | − | 102.879i | − | 0.359715i | ||||||
\(287\) | −47.1645 | − | 139.456i | −0.164336 | − | 0.485909i | ||||
\(288\) | − | 48.0000i | − | 0.166667i | ||||||
\(289\) | 52.5736 | − | 91.0601i | 0.181916 | − | 0.315087i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −53.4853 | − | 92.6392i | −0.183798 | − | 0.318348i | ||||
\(292\) | 130.991 | − | 226.882i | 0.448598 | − | 0.776994i | ||||
\(293\) | 327.391 | 1.11738 | 0.558688 | − | 0.829378i | \(-0.311305\pi\) | ||||
0.558688 | + | 0.829378i | \(0.311305\pi\) | |||||||
\(294\) | 175.882 | + | 230.282i | 0.598239 | + | 0.783272i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 91.8406 | − | 159.073i | 0.310272 | − | 0.537408i | ||||
\(297\) | 14.2512 | + | 24.6838i | 0.0479838 | + | 0.0831103i | ||||
\(298\) | −32.3296 | + | 18.6655i | −0.108488 | + | 0.0626358i | ||||
\(299\) | 10.8091 | + | 6.24063i | 0.0361508 | + | 0.0208717i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −14.5442 | − | 43.0041i | −0.0483195 | − | 0.142871i | ||||
\(302\) | 189.806i | 0.628497i | ||||||||
\(303\) | 103.216 | + | 59.5919i | 0.340647 | + | 0.196673i | ||||
\(304\) | −2.48528 | + | 1.43488i | −0.00817527 | + | 0.00471999i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 140.912 | + | 81.3554i | 0.460496 | + | 0.265867i | ||||
\(307\) | −256.140 | −0.834331 | −0.417165 | − | 0.908831i | \(-0.636976\pi\) | ||||
−0.417165 | + | 0.908831i | \(0.636976\pi\) | |||||||
\(308\) | −36.3731 | + | 181.794i | −0.118094 | + | 0.590240i | ||||
\(309\) | 236.220 | 0.764467 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 187.349 | − | 108.166i | 0.602409 | − | 0.347801i | −0.167580 | − | 0.985859i | \(-0.553595\pi\) |
0.769989 | + | 0.638057i | \(0.220262\pi\) | |||||||
\(312\) | 56.2662 | − | 32.4853i | 0.180340 | − | 0.104119i | ||||
\(313\) | 78.4092 | − | 135.809i | 0.250509 | − | 0.433893i | −0.713157 | − | 0.701004i | \(-0.752736\pi\) |
0.963666 | + | 0.267110i | \(0.0860689\pi\) | |||||||
\(314\) | − | 320.595i | − | 1.02100i | ||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −152.426 | −0.482362 | ||||||||
\(317\) | 388.005 | + | 224.015i | 1.22399 | + | 0.706671i | 0.965766 | − | 0.259414i | \(-0.0835294\pi\) |
0.258224 | + | 0.966085i | \(0.416863\pi\) | |||||||
\(318\) | −65.1365 | − | 112.820i | −0.204832 | − | 0.354779i | ||||
\(319\) | −135.640 | − | 234.935i | −0.425203 | − | 0.736472i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | − | 199.084i | − | 0.620199i | ||||||
\(322\) | −16.8941 | − | 14.8492i | −0.0524660 | − | 0.0461157i | ||||
\(323\) | − | 9.72792i | − | 0.0301174i | ||||||
\(324\) | −85.3675 | + | 147.861i | −0.263480 | + | 0.456361i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −65.0381 | − | 112.649i | −0.199503 | − | 0.345550i | ||||
\(327\) | −157.453 | + | 272.717i | −0.481508 | + | 0.833996i | ||||
\(328\) | 59.4841 | 0.181354 | ||||||||
\(329\) | −65.6177 | + | 327.960i | −0.199446 | + | 0.996839i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 27.5036 | − | 47.6376i | 0.0830924 | − | 0.143920i | −0.821484 | − | 0.570231i | \(-0.806854\pi\) |
0.904577 | + | 0.426311i | \(0.140187\pi\) | |||||||
\(332\) | 107.981 | + | 187.029i | 0.325245 | + | 0.563342i | ||||
\(333\) | 477.218 | − | 275.522i | 1.43309 | − | 0.827393i | ||||
\(334\) | −249.213 | − | 143.883i | −0.746147 | − | 0.430788i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −110.912 | + | 37.5108i | −0.330094 | + | 0.111639i | ||||
\(337\) | − | 111.632i | − | 0.331254i | −0.986189 | − | 0.165627i | \(-0.947035\pi\) | ||
0.986189 | − | 0.165627i | \(-0.0529647\pi\) | |||||||
\(338\) | −170.023 | − | 98.1630i | −0.503027 | − | 0.290423i | ||||
\(339\) | 309.463 | − | 178.669i | 0.912870 | − | 0.527046i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 282.331 | + | 163.004i | 0.827949 | + | 0.478016i | ||||
\(342\) | −8.60927 | −0.0251733 | ||||||||
\(343\) | 191.519 | − | 284.551i | 0.558365 | − | 0.829596i | ||||
\(344\) | 18.3431 | 0.0533231 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 86.7244 | − | 50.0703i | 0.250648 | − | 0.144712i | ||||
\(347\) | 326.714 | − | 188.628i | 0.941539 | − | 0.543598i | 0.0510967 | − | 0.998694i | \(-0.483728\pi\) |
0.890442 | + | 0.455096i | \(0.150395\pi\) | |||||||
\(348\) | 85.6600 | − | 148.368i | 0.246150 | − | 0.426343i | ||||
\(349\) | 204.034i | 0.584624i | 0.956323 | + | 0.292312i | \(0.0944246\pi\) | ||||
−0.956323 | + | 0.292312i | \(0.905575\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −11.8234 | −0.0336848 | ||||||||
\(352\) | −64.8754 | − | 37.4558i | −0.184305 | − | 0.106409i | ||||
\(353\) | 208.538 | + | 361.198i | 0.590759 | + | 1.02323i | 0.994130 | + | 0.108189i | \(0.0345051\pi\) |
−0.403371 | + | 0.915036i | \(0.632162\pi\) | |||||||
\(354\) | 247.643 | + | 428.931i | 0.699557 | + | 1.21167i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 335.814i | 0.943297i | ||||||||
\(357\) | 77.8658 | − | 389.176i | 0.218112 | − | 1.09013i | ||||
\(358\) | 153.889i | 0.429859i | ||||||||
\(359\) | −89.4153 | + | 154.872i | −0.249068 | + | 0.431398i | −0.963267 | − | 0.268544i | \(-0.913457\pi\) |
0.714200 | + | 0.699942i | \(0.246791\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −180.243 | − | 312.189i | −0.499287 | − | 0.864791i | ||||
\(362\) | 70.4707 | − | 122.059i | 0.194671 | − | 0.337179i | ||||
\(363\) | −227.340 | −0.626281 | ||||||||
\(364\) | −57.7645 | − | 50.7728i | −0.158694 | − | 0.139486i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −195.915 | + | 339.335i | −0.535288 | + | 0.927145i | ||||
\(367\) | −314.497 | − | 544.724i | −0.856939 | − | 1.48426i | −0.874835 | − | 0.484422i | \(-0.839030\pi\) |
0.0178960 | − | 0.999840i | \(-0.494303\pi\) | |||||||
\(368\) | 7.87071 | − | 4.54416i | 0.0213878 | − | 0.0123482i | ||||
\(369\) | 154.544 | + | 89.2261i | 0.418819 | + | 0.241805i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −101.805 | + | 115.824i | −0.274407 | + | 0.312194i | ||||
\(372\) | 205.882i | 0.553447i | ||||||||
\(373\) | −221.320 | − | 127.779i | −0.593351 | − | 0.342572i | 0.173070 | − | 0.984910i | \(-0.444631\pi\) |
−0.766422 | + | 0.642338i | \(0.777965\pi\) | |||||||
\(374\) | 219.915 | − | 126.968i | 0.588009 | − | 0.339487i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −117.037 | − | 67.5711i | −0.311267 | − | 0.179710i | ||||
\(377\) | 112.532 | 0.298494 | ||||||||
\(378\) | 20.8928 | + | 4.18019i | 0.0552719 | + | 0.0110587i | ||||
\(379\) | −219.750 | −0.579816 | −0.289908 | − | 0.957055i | \(-0.593625\pi\) | ||||
−0.289908 | + | 0.957055i | \(0.593625\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 219.676 | − | 126.830i | 0.576578 | − | 0.332887i | ||||
\(382\) | −85.6152 | + | 49.4300i | −0.224124 | + | 0.129398i | ||||
\(383\) | −8.51785 | + | 14.7534i | −0.0222398 | + | 0.0385205i | −0.876931 | − | 0.480616i | \(-0.840413\pi\) |
0.854691 | + | 0.519137i | \(0.173746\pi\) | |||||||
\(384\) | − | 47.3087i | − | 0.123200i | ||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 45.7330 | 0.118479 | ||||||||
\(387\) | 47.6569 | + | 27.5147i | 0.123144 | + | 0.0710975i | ||||
\(388\) | −25.5816 | − | 44.3087i | −0.0659320 | − | 0.114198i | ||||
\(389\) | −76.1102 | − | 131.827i | −0.195656 | − | 0.338886i | 0.751459 | − | 0.659779i | \(-0.229350\pi\) |
−0.947115 | + | 0.320893i | \(0.896017\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 30.8076i | 0.0787919i | ||||||||
\(392\) | 84.1232 | + | 110.142i | 0.214600 | + | 0.280975i | ||||
\(393\) | − | 555.926i | − | 1.41457i | ||||||
\(394\) | −195.941 | + | 339.380i | −0.497313 | + | 0.861371i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −112.368 | − | 194.626i | −0.283756 | − | 0.491480i | ||||
\(397\) | 186.361 | − | 322.786i | 0.469423 | − | 0.813064i | −0.529966 | − | 0.848019i | \(-0.677795\pi\) |
0.999389 | + | 0.0349549i | \(0.0111287\pi\) | |||||||
\(398\) | −236.802 | −0.594980 | ||||||||
\(399\) | 6.72792 | + | 19.8931i | 0.0168620 | + | 0.0498574i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −325.786 | + | 564.279i | −0.812435 | + | 1.40718i | 0.0987205 | + | 0.995115i | \(0.468525\pi\) |
−0.911155 | + | 0.412063i | \(0.864808\pi\) | |||||||
\(402\) | 273.916 | + | 474.437i | 0.681384 | + | 1.18019i | ||||
\(403\) | −117.117 | + | 67.6173i | −0.290612 | + | 0.167785i | ||||
\(404\) | 49.3675 | + | 28.5024i | 0.122197 | + | 0.0705504i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −198.853 | − | 39.7862i | −0.489785 | − | 0.0979955i | ||||
\(407\) | − | 859.992i | − | 2.11300i | ||||||
\(408\) | 138.882 | + | 80.1838i | 0.340398 | + | 0.196529i | ||||
\(409\) | −462.081 | + | 266.782i | −1.12978 | + | 0.652280i | −0.943880 | − | 0.330289i | \(-0.892854\pi\) |
−0.185902 | + | 0.982568i | \(0.559521\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −425.239 | − | 245.512i | −1.03464 | − | 0.597352i | ||||
\(412\) | 112.982 | 0.274229 | ||||||||
\(413\) | 387.054 | − | 440.353i | 0.937176 | − | 1.06623i | ||||
\(414\) | 27.2649 | 0.0658573 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 26.9117 | − | 15.5375i | 0.0646916 | − | 0.0373497i | ||||
\(417\) | 248.371 | − | 143.397i | 0.595614 | − | 0.343878i | ||||
\(418\) | −6.71807 | + | 11.6360i | −0.0160719 | + | 0.0278374i | ||||
\(419\) | − | 534.252i | − | 1.27507i | −0.770423 | − | 0.637533i | \(-0.779955\pi\) | ||
0.770423 | − | 0.637533i | \(-0.220045\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 157.220 | 0.373445 | 0.186723 | − | 0.982413i | \(-0.440213\pi\) | ||||
0.186723 | + | 0.982413i | \(0.440213\pi\) | |||||||
\(422\) | −156.857 | − | 90.5614i | −0.371699 | − | 0.214600i | ||||
\(423\) | −202.713 | − | 351.110i | −0.479228 | − | 0.830047i | ||||
\(424\) | −31.1543 | − | 53.9609i | −0.0734772 | − | 0.127266i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | − | 286.374i | − | 0.672239i | ||||||
\(427\) | 454.801 | + | 90.9960i | 1.06511 | + | 0.213105i | ||||
\(428\) | − | 95.2203i | − | 0.222477i | ||||||
\(429\) | 152.095 | − | 263.437i | 0.354535 | − | 0.614072i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 114.268 | + | 197.918i | 0.265123 | + | 0.459207i | 0.967596 | − | 0.252504i | \(-0.0812541\pi\) |
−0.702473 | + | 0.711711i | \(0.747921\pi\) | |||||||
\(432\) | −4.30463 | + | 7.45584i | −0.00996443 | + | 0.0172589i | ||||
\(433\) | −47.5549 | −0.109827 | −0.0549133 | − | 0.998491i | \(-0.517488\pi\) | ||||
−0.0549133 | + | 0.998491i | \(0.517488\pi\) | |||||||
\(434\) | 230.860 | − | 78.0778i | 0.531935 | − | 0.179903i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −75.3087 | + | 130.438i | −0.172726 | + | 0.299171i | ||||
\(437\) | −0.815039 | − | 1.41169i | −0.00186508 | − | 0.00323041i | ||||
\(438\) | 670.844 | − | 387.312i | 1.53161 | − | 0.884274i | ||||
\(439\) | 63.9594 | + | 36.9270i | 0.145693 | + | 0.0841161i | 0.571075 | − | 0.820898i | \(-0.306527\pi\) |
−0.425381 | + | 0.905014i | \(0.639860\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 53.3452 | + | 412.342i | 0.120964 | + | 0.935017i | ||||
\(442\) | 105.338i | 0.238321i | ||||||||
\(443\) | 203.204 | + | 117.320i | 0.458699 | + | 0.264830i | 0.711497 | − | 0.702689i | \(-0.248017\pi\) |
−0.252798 | + | 0.967519i | \(0.581351\pi\) | |||||||
\(444\) | 470.345 | − | 271.554i | 1.05934 | − | 0.611608i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −510.926 | − | 294.983i | −1.14557 | − | 0.661397i | ||||
\(447\) | −110.380 | −0.246935 | ||||||||
\(448\) | −53.0482 | + | 17.9411i | −0.118411 | + | 0.0400472i | ||||
\(449\) | 255.161 | 0.568288 | 0.284144 | − | 0.958782i | \(-0.408291\pi\) | ||||
0.284144 | + | 0.958782i | \(0.408291\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 241.191 | − | 139.252i | 0.534791 | − | 0.308762i | ||||
\(452\) | 148.014 | − | 85.4558i | 0.327464 | − | 0.189062i | ||||
\(453\) | −280.609 | + | 486.029i | −0.619446 | + | 1.07291i | ||||
\(454\) | 328.465i | 0.723492i | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −8.48528 | −0.0186081 | ||||||||
\(457\) | 126.210 | + | 72.8675i | 0.276171 | + | 0.159448i | 0.631689 | − | 0.775222i | \(-0.282362\pi\) |
−0.355518 | + | 0.934670i | \(0.615695\pi\) | |||||||
\(458\) | 59.1297 | + | 102.416i | 0.129104 | + | 0.223615i | ||||
\(459\) | −14.5919 | − | 25.2739i | −0.0317906 | − | 0.0550629i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 888.329i | − | 1.92696i | −0.267777 | − | 0.963481i | \(-0.586289\pi\) | ||
0.267777 | − | 0.963481i | \(-0.413711\pi\) | |||||||
\(462\) | −361.903 | + | 411.739i | −0.783339 | + | 0.891209i | ||||
\(463\) | − | 234.014i | − | 0.505430i | −0.967541 | − | 0.252715i | \(-0.918676\pi\) | ||
0.967541 | − | 0.252715i | \(-0.0813236\pi\) | |||||||
\(464\) | 40.9706 | − | 70.9631i | 0.0882986 | − | 0.152938i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 154.908 | + | 268.309i | 0.332421 | + | 0.575770i | ||||
\(467\) | −393.309 | + | 681.231i | −0.842204 | + | 1.45874i | 0.0458237 | + | 0.998950i | \(0.485409\pi\) |
−0.888028 | + | 0.459790i | \(0.847925\pi\) | |||||||
\(468\) | 93.2248 | 0.199198 | ||||||||
\(469\) | 428.117 | − | 487.071i | 0.912830 | − | 1.03853i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 473.967 | − | 820.934i | 1.00630 | − | 1.74296i | ||||
\(472\) | 118.446 | + | 205.154i | 0.250945 | + | 0.434649i | ||||
\(473\) | 74.3762 | − | 42.9411i | 0.157244 | − | 0.0907846i | ||||
\(474\) | −390.312 | − | 225.347i | −0.823444 | − | 0.475415i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 37.2426 | − | 186.140i | 0.0782408 | − | 0.391051i | ||||
\(477\) | − | 186.926i | − | 0.391878i | ||||||
\(478\) | −236.501 | − | 136.544i | −0.494773 | − | 0.285657i | ||||
\(479\) | −638.202 | + | 368.466i | −1.33236 | + | 0.769240i | −0.985661 | − | 0.168735i | \(-0.946032\pi\) |
−0.346702 | + | 0.937975i | \(0.612698\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 308.948 | + | 178.371i | 0.642304 | + | 0.370834i | ||||
\(482\) | 70.0505 | 0.145333 | ||||||||
\(483\) | −21.3068 | − | 63.0000i | −0.0441136 | − | 0.130435i | ||||
\(484\) | −108.735 | −0.224659 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −413.470 | + | 238.717i | −0.850762 | + | 0.491187i | ||||
\(487\) | 234.432 | − | 135.349i | 0.481379 | − | 0.277925i | −0.239612 | − | 0.970869i | \(-0.577020\pi\) |
0.720991 | + | 0.692944i | \(0.243687\pi\) | |||||||
\(488\) | −93.7048 | + | 162.302i | −0.192018 | + | 0.332585i | ||||
\(489\) | − | 384.609i | − | 0.786520i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 760.161 | 1.54819 | 0.774094 | − | 0.633070i | \(-0.218206\pi\) | ||||
0.774094 | + | 0.633070i | \(0.218206\pi\) | |||||||
\(492\) | 152.318 | + | 87.9411i | 0.309590 | + | 0.178742i | ||||
\(493\) | 138.882 | + | 240.551i | 0.281709 | + | 0.487934i | ||||
\(494\) | −2.78680 | − | 4.82687i | −0.00564129 | − | 0.00977100i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 98.4720i | 0.198532i | ||||||||
\(497\) | −321.117 | + | 108.603i | −0.646111 | + | 0.218517i | ||||
\(498\) | 638.558i | 1.28225i | ||||||||
\(499\) | 62.7462 | − | 108.680i | 0.125744 | − | 0.217795i | −0.796280 | − | 0.604929i | \(-0.793202\pi\) |
0.922023 | + | 0.387134i | \(0.126535\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −425.434 | − | 736.873i | −0.849169 | − | 1.47080i | ||||
\(502\) | −114.922 | + | 199.051i | −0.228928 | + | 0.396516i | ||||
\(503\) | −117.083 | −0.232770 | −0.116385 | − | 0.993204i | \(-0.537131\pi\) | ||||
−0.116385 | + | 0.993204i | \(0.537131\pi\) | |||||||
\(504\) | −164.735 | − | 32.9600i | −0.326855 | − | 0.0653967i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 21.2756 | − | 36.8505i | 0.0420467 | − | 0.0728271i | ||||
\(507\) | −290.248 | − | 502.724i | −0.572481 | − | 0.991566i | ||||
\(508\) | 105.070 | − | 60.6619i | 0.206830 | − | 0.119413i | ||||
\(509\) | 574.110 | + | 331.463i | 1.12792 | + | 0.651204i | 0.943410 | − | 0.331627i | \(-0.107598\pi\) |
0.184507 | + | 0.982831i | \(0.440931\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −688.709 | − | 605.349i | −1.34777 | − | 1.18464i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 1.33728 | + | 0.772078i | 0.00260678 | + | 0.00150503i | ||||
\(514\) | 121.445 | − | 70.1164i | 0.236275 | − | 0.136413i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 46.9706 | + | 27.1185i | 0.0910282 | + | 0.0525552i | ||||
\(517\) | −632.733 | −1.22386 | ||||||||
\(518\) | −482.870 | − | 424.425i | −0.932182 | − | 0.819353i | ||||
\(519\) | 296.095 | 0.570511 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −40.8229 | + | 23.5691i | −0.0783550 | + | 0.0452383i | −0.538666 | − | 0.842520i | \(-0.681071\pi\) |
0.460311 | + | 0.887758i | \(0.347738\pi\) | |||||||
\(522\) | 212.889 | − | 122.912i | 0.407834 | − | 0.235463i | ||||
\(523\) | 249.735 | − | 432.554i | 0.477506 | − | 0.827064i | −0.522162 | − | 0.852846i | \(-0.674874\pi\) |
0.999668 | + | 0.0257824i | \(0.00820770\pi\) | |||||||
\(524\) | − | 265.895i | − | 0.507434i | ||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −614.257 | −1.16779 | ||||||||
\(527\) | −289.080 | − | 166.901i | −0.548539 | − | 0.316699i | ||||
\(528\) | −110.749 | − | 191.823i | −0.209752 | − | 0.363302i | ||||
\(529\) | −261.919 | − | 453.657i | −0.495121 | − | 0.857574i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 710.675i | 1.33837i | ||||||||
\(532\) | 3.21792 | + | 9.51472i | 0.00604871 | + | 0.0178848i | ||||
\(533\) | 115.529i | 0.216752i | ||||||||
\(534\) | −496.467 | + | 859.905i | −0.929713 | + | 1.61031i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 131.012 | + | 226.920i | 0.244426 | + | 0.423358i | ||||
\(537\) | −227.510 | + | 394.058i | −0.423668 | + | 0.733815i | ||||
\(538\) | 129.271 | 0.240280 | ||||||||
\(539\) | 598.937 | + | 249.663i | 1.11120 | + | 0.463197i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −249.405 | + | 431.981i | −0.461007 | + | 0.798487i | −0.999011 | − | 0.0444550i | \(-0.985845\pi\) |
0.538005 | + | 0.842942i | \(0.319178\pi\) | |||||||
\(542\) | 12.0883 | + | 20.9376i | 0.0223031 | + | 0.0386302i | ||||
\(543\) | 360.903 | − | 208.368i | 0.664647 | − | 0.383734i | ||||
\(544\) | 66.4264 | + | 38.3513i | 0.122107 | + | 0.0704987i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −72.8528 | − | 215.411i | −0.133430 | − | 0.394525i | ||||
\(547\) | − | 279.897i | − | 0.511694i | −0.966717 | − | 0.255847i | \(-0.917646\pi\) | ||
0.966717 | − | 0.255847i | \(-0.0823543\pi\) | |||||||
\(548\) | −203.389 | − | 117.426i | −0.371147 | − | 0.214282i | ||||
\(549\) | −486.905 | + | 281.114i | −0.886894 | + | 0.512048i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −12.7279 | − | 7.34847i | −0.0230997 | − | 0.0133366i | ||||
\(552\) | 26.8723 | 0.0486817 | ||||||||
\(553\) | −104.666 | + | 523.124i | −0.189269 | + | 0.945976i | ||||
\(554\) | −566.267 | −1.02214 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 118.794 | − | 68.5857i | 0.213658 | − | 0.123356i | ||||
\(557\) | −226.708 | + | 130.890i | −0.407016 | + | 0.234991i | −0.689507 | − | 0.724279i | \(-0.742173\pi\) |
0.282491 | + | 0.959270i | \(0.408839\pi\) | |||||||
\(558\) | −147.708 | + | 255.838i | −0.264710 | + | 0.458490i | ||||
\(559\) | 35.6258i | 0.0637312i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 750.838 | 1.33839 | ||||||||
\(562\) | −659.758 | − | 380.912i | −1.17395 | − | 0.677779i | ||||
\(563\) | 242.531 | + | 420.076i | 0.430784 | + | 0.746139i | 0.996941 | − | 0.0781581i | \(-0.0249039\pi\) |
−0.566157 | + | 0.824297i | \(0.691571\pi\) | |||||||
\(564\) | −199.794 | − | 346.053i | −0.354245 | − | 0.613570i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 437.287i | 0.772593i | ||||||||
\(567\) | 448.837 | + | 394.511i | 0.791599 | + | 0.695786i | ||||
\(568\) | − | 136.971i | − | 0.241145i | ||||||
\(569\) | −227.000 | + | 393.175i | −0.398945 | + | 0.690993i | −0.993596 | − | 0.112991i | \(-0.963957\pi\) |
0.594651 | + | 0.803984i | \(0.297290\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 115.769 | + | 200.517i | 0.202747 | + | 0.351168i | 0.949413 | − | 0.314032i | \(-0.101680\pi\) |
−0.746666 | + | 0.665200i | \(0.768346\pi\) | |||||||
\(572\) | 72.7461 | − | 126.000i | 0.127179 | − | 0.220280i | ||||
\(573\) | −292.309 | −0.510137 | ||||||||
\(574\) | 40.8457 | − | 204.148i | 0.0711597 | − | 0.355659i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 33.9411 | − | 58.7878i | 0.0589256 | − | 0.102062i | ||||
\(577\) | 325.634 | + | 564.014i | 0.564356 | + | 0.977494i | 0.997109 | + | 0.0759812i | \(0.0242089\pi\) |
−0.432753 | + | 0.901513i | \(0.642458\pi\) | |||||||
\(578\) | 128.778 | − | 74.3503i | 0.222800 | − | 0.128634i | ||||
\(579\) | 117.107 | + | 67.6115i | 0.202257 | + | 0.116773i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 716.029 | − | 242.164i | 1.23241 | − | 0.416805i | ||||
\(582\) | − | 151.279i | − | 0.259930i | ||||||
\(583\) | −252.644 | − | 145.864i | −0.433351 | − | 0.250195i | ||||
\(584\) | 320.860 | − | 185.249i | 0.549418 | − | 0.317206i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 400.971 | + | 231.500i | 0.684250 | + | 0.395052i | ||||
\(587\) | 823.029 | 1.40209 | 0.701046 | − | 0.713116i | \(-0.252717\pi\) | ||||
0.701046 | + | 0.713116i | \(0.252717\pi\) | |||||||
\(588\) | 52.5770 | + | 406.404i | 0.0894166 | + | 0.691163i | ||||
\(589\) | 17.6619 | 0.0299863 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1003.48 | + | 579.358i | −1.69793 | + | 0.980301i | ||||
\(592\) | 224.963 | − | 129.882i | 0.380004 | − | 0.219396i | ||||
\(593\) | −404.209 | + | 700.110i | −0.681634 | + | 1.18062i | 0.292848 | + | 0.956159i | \(0.405397\pi\) |
−0.974482 | + | 0.224465i | \(0.927936\pi\) | |||||||
\(594\) | 40.3084i | 0.0678593i | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −52.7939 | −0.0885804 | ||||||||
\(597\) | −606.370 | − | 350.088i | −1.01570 | − | 0.586412i | ||||
\(598\) | 8.82559 | + | 15.2864i | 0.0147585 | + | 0.0255625i | ||||
\(599\) | 265.422 | + | 459.725i | 0.443109 | + | 0.767488i | 0.997918 | − | 0.0644900i | \(-0.0205421\pi\) |
−0.554809 | + | 0.831978i | \(0.687209\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 936.503i | 1.55824i | 0.626874 | + | 0.779121i | \(0.284334\pi\) | ||||
−0.626874 | + | 0.779121i | \(0.715666\pi\) | |||||||
\(602\) | 12.5956 | − | 62.9533i | 0.0209229 | − | 0.104574i | ||||
\(603\) | 786.073i | 1.30360i | ||||||||
\(604\) | −134.213 | + | 232.464i | −0.222207 | + | 0.384874i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 84.2756 | + | 145.970i | 0.139069 | + | 0.240874i | ||||
\(607\) | −301.060 | + | 521.452i | −0.495981 | + | 0.859064i | −0.999989 | − | 0.00463474i | \(-0.998525\pi\) |
0.504008 | + | 0.863699i | \(0.331858\pi\) | |||||||
\(608\) | −4.05845 | −0.00667508 | ||||||||
\(609\) | −450.375 | − | 395.862i | −0.739531 | − | 0.650020i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 131.235 | − | 227.307i | 0.214788 | − | 0.372024i | ||||
\(612\) | 115.054 | + | 199.279i | 0.187997 | + | 0.325620i | ||||
\(613\) | −949.940 | + | 548.448i | −1.54966 | + | 0.894695i | −0.551491 | + | 0.834181i | \(0.685941\pi\) |
−0.998167 | + | 0.0605142i | \(0.980726\pi\) | |||||||
\(614\) | −313.706 | − | 181.118i | −0.510921 | − | 0.294981i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −173.095 | + | 196.932i | −0.280999 | + | 0.319694i | ||||
\(617\) | − | 432.956i | − | 0.701712i | −0.936429 | − | 0.350856i | \(-0.885891\pi\) | ||
0.936429 | − | 0.350856i | \(-0.114109\pi\) | |||||||
\(618\) | 289.310 | + | 167.033i | 0.468139 | + | 0.270280i | ||||
\(619\) | −194.951 | + | 112.555i | −0.314946 | + | 0.181834i | −0.649137 | − | 0.760671i | \(-0.724870\pi\) |
0.334192 | + | 0.942505i | \(0.391537\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.23506 | − | 2.44512i | −0.00681975 | − | 0.00393738i | ||||
\(622\) | 305.940 | 0.491865 | ||||||||
\(623\) | 1152.51 | + | 230.592i | 1.84993 | + | 0.370131i | ||||
\(624\) | 91.8823 | 0.147247 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 192.062 | − | 110.887i | 0.306809 | − | 0.177136i | ||||
\(627\) | −34.4054 | + | 19.8640i | −0.0548730 | + | 0.0316810i | ||||
\(628\) | 226.695 | − | 392.647i | 0.360979 | − | 0.625234i | ||||
\(629\) | 880.552i | 1.39992i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 750.514 | 1.18940 | 0.594702 | − | 0.803946i | \(-0.297270\pi\) | ||||
0.594702 | + | 0.803946i | \(0.297270\pi\) | |||||||
\(632\) | −186.683 | − | 107.782i | −0.295385 | − | 0.170541i | ||||
\(633\) | −267.772 | − | 463.794i | −0.423020 | − | 0.732692i | ||||
\(634\) | 316.805 | + | 548.722i | 0.499692 | + | 0.865492i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | − | 184.234i | − | 0.289676i | ||||||
\(637\) | −213.916 | + | 163.383i | −0.335818 | + | 0.256488i | ||||
\(638\) | − | 383.647i | − | 0.601327i | ||||||
\(639\) | 205.456 | − | 355.860i | 0.321527 | − | 0.556901i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 580.926 | + | 1006.19i | 0.906281 | + | 1.56973i | 0.819188 | + | 0.573525i | \(0.194425\pi\) |
0.0870937 | + | 0.996200i | \(0.472242\pi\) | |||||||
\(642\) | 140.774 | − | 243.827i | 0.219273 | − | 0.379793i | ||||
\(643\) | −121.957 | −0.189669 | −0.0948347 | − | 0.995493i | \(-0.530232\pi\) | ||||
−0.0948347 | + | 0.995493i | \(0.530232\pi\) | |||||||
\(644\) | −10.1909 | − | 30.1324i | −0.0158244 | − | 0.0467895i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.87868 | − | 11.9142i | 0.0106481 | − | 0.0184431i | ||||
\(647\) | −79.3877 | − | 137.504i | −0.122701 | − | 0.212525i | 0.798131 | − | 0.602484i | \(-0.205822\pi\) |
−0.920832 | + | 0.389959i | \(0.872489\pi\) | |||||||
\(648\) | −209.107 | + | 120.728i | −0.322696 | + | 0.186309i | ||||
\(649\) | 960.529 | + | 554.561i | 1.48001 | + | 0.854486i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 706.584 | + | 141.372i | 1.08538 | + | 0.217162i | ||||
\(652\) | − | 183.955i | − | 0.282140i | ||||||
\(653\) | −338.565 | − | 195.471i | −0.518476 | − | 0.299342i | 0.217835 | − | 0.975986i | \(-0.430101\pi\) |
−0.736311 | + | 0.676643i | \(0.763434\pi\) | |||||||
\(654\) | −385.680 | + | 222.672i | −0.589724 | + | 0.340478i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 72.8528 | + | 42.0616i | 0.111056 | + | 0.0641183i | ||||
\(657\) | 1111.49 | 1.69177 | ||||||||
\(658\) | −312.268 | + | 355.269i | −0.474571 | + | 0.539922i | ||||
\(659\) | 331.955 | 0.503726 | 0.251863 | − | 0.967763i | \(-0.418957\pi\) | ||||
0.251863 | + | 0.967763i | \(0.418957\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 561.029 | − | 323.910i | 0.848758 | − | 0.490031i | −0.0114736 | − | 0.999934i | \(-0.503652\pi\) |
0.860232 | + | 0.509904i | \(0.170319\pi\) | |||||||
\(662\) | 67.3697 | − | 38.8959i | 0.101767 | − | 0.0587552i | ||||
\(663\) | −155.732 | + | 269.735i | −0.234889 | + | 0.406840i | ||||
\(664\) | 305.418i | 0.459967i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 779.294 | 1.17011 | ||||||||
\(667\) | 40.3084 | + | 23.2721i | 0.0604324 | + | 0.0348907i | ||||
\(668\) | −203.482 | − | 352.441i | −0.304613 | − | 0.527606i | ||||
\(669\) | −872.205 | − | 1510.70i | −1.30374 | − | 2.25815i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 877.448i | 1.30767i | ||||||||
\(672\) | −162.363 | − | 32.4853i | −0.241611 | − | 0.0483412i | ||||
\(673\) | − | 100.956i | − | 0.150009i | −0.997183 | − | 0.0750047i | \(-0.976103\pi\) | ||
0.997183 | − | 0.0750047i | \(-0.0238972\pi\) | |||||||
\(674\) | 78.9361 | − | 136.721i | 0.117116 | − | 0.202851i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −138.823 | − | 240.449i | −0.205360 | − | 0.355694i | ||||
\(677\) | −371.588 | + | 643.610i | −0.548875 | + | 0.950679i | 0.449477 | + | 0.893292i | \(0.351610\pi\) |
−0.998352 | + | 0.0573873i | \(0.981723\pi\) | |||||||
\(678\) | 505.351 | 0.745355 | ||||||||
\(679\) | −169.632 | + | 57.3704i | −0.249827 | + | 0.0844924i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −485.603 | + | 841.088i | −0.713073 | + | 1.23508i | ||||
\(682\) | 230.522 | + | 399.276i | 0.338009 | + | 0.585448i | ||||
\(683\) | −3.84032 | + | 2.21721i | −0.00562272 | + | 0.00324628i | −0.502809 | − | 0.864398i | \(-0.667700\pi\) |
0.497186 | + | 0.867644i | \(0.334367\pi\) | |||||||
\(684\) | −10.5442 | − | 6.08767i | −0.0154154 | − | 0.00890010i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 435.770 | − | 213.078i | 0.635233 | − | 0.310610i | ||||
\(687\) | 349.669i | 0.508980i | ||||||||
\(688\) | 22.4657 | + | 12.9706i | 0.0326536 | + | 0.0188526i | ||||
\(689\) | 104.802 | − | 60.5074i | 0.152107 | − | 0.0878192i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −846.253 | − | 488.584i | −1.22468 | − | 0.707069i | −0.258767 | − | 0.965940i | \(-0.583316\pi\) |
−0.965912 | + | 0.258871i | \(0.916649\pi\) | |||||||
\(692\) | 141.620 | 0.204654 | ||||||||
\(693\) | −745.113 | + | 252.000i | −1.07520 | + | 0.363636i | ||||
\(694\) | 533.522 | 0.768763 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 209.823 | − | 121.142i | 0.301470 | − | 0.174054i | ||||
\(697\) | −246.957 | + | 142.581i | −0.354314 | + | 0.204563i | ||||
\(698\) | −144.274 | + | 249.889i | −0.206696 | + | 0.358008i | ||||
\(699\) | 916.063i | 1.31053i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −840.177 | −1.19854 | −0.599270 | − | 0.800547i | \(-0.704542\pi\) | ||||
−0.599270 | + | 0.800547i | \(0.704542\pi\) | |||||||
\(702\) | −14.4806 | − | 8.36039i | −0.0206277 | − | 0.0119094i | ||||
\(703\) | −23.2956 | − | 40.3492i | −0.0331375 | − | 0.0573958i | ||||
\(704\) | −52.9706 | − | 91.7477i | −0.0752423 | − | 0.130323i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 589.835i | 0.835460i | ||||||||
\(707\) | 131.719 | − | 149.857i | 0.186306 | − | 0.211962i | ||||
\(708\) | 700.441i | 0.989323i | ||||||||
\(709\) | 341.279 | − | 591.112i | 0.481352 | − | 0.833727i | −0.518419 | − | 0.855127i | \(-0.673479\pi\) |
0.999771 | + | 0.0214003i | \(0.00681244\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −323.345 | − | 560.050i | −0.454775 | − | 0.787694i | ||||
\(712\) | −237.456 | + | 411.286i | −0.333506 | + | 0.577649i | ||||
\(713\) | −55.9340 | −0.0784488 | ||||||||
\(714\) | 370.555 | − | 421.582i | 0.518984 | − | 0.590451i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −108.816 | + | 188.475i | −0.151978 | + | 0.263234i | ||||
\(717\) | −403.733 | − | 699.286i | −0.563087 | − | 0.975295i | ||||
\(718\) | −219.022 | + | 126.452i | −0.305044 | + | 0.176117i | ||||
\(719\) | −119.187 | − | 68.8126i | −0.165768 | − | 0.0957060i | 0.414821 | − | 0.909903i | \(-0.363844\pi\) |
−0.580589 | + | 0.814197i | \(0.697178\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 77.5812 | − | 387.754i | 0.107602 | − | 0.537800i | ||||
\(722\) | − | 509.803i | − | 0.706099i | ||||||
\(723\) | 179.375 | + | 103.562i | 0.248099 | + | 0.143240i | ||||
\(724\) | 172.617 | − | 99.6607i | 0.238422 | − | 0.137653i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −278.434 | − | 160.754i | −0.383517 | − | 0.221424i | ||||
\(727\) | 264.137 | 0.363325 | 0.181662 | − | 0.983361i | \(-0.441852\pi\) | ||||
0.181662 | + | 0.983361i | \(0.441852\pi\) | |||||||
\(728\) | −34.8450 | − | 103.029i | −0.0478640 | − | 0.141524i | ||||
\(729\) | −643.368 | −0.882534 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −76.1543 | + | 43.9677i | −0.104178 | + | 0.0601474i | ||||
\(732\) | −479.892 | + | 277.066i | −0.655591 | + | 0.378505i | ||||
\(733\) | 289.660 | − | 501.705i | 0.395170 | − | 0.684455i | −0.597953 | − | 0.801531i | \(-0.704019\pi\) |
0.993123 | + | 0.117077i | \(0.0373523\pi\) | |||||||
\(734\) | − | 889.530i | − | 1.21189i | ||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 12.8528 | 0.0174631 | ||||||||
\(737\) | 1062.43 | + | 613.397i | 1.44157 | + | 0.832288i | ||||
\(738\) | 126.185 | + | 218.558i | 0.170982 | + | 0.296150i | ||||
\(739\) | −99.0477 | − | 171.556i | −0.134029 | − | 0.232146i | 0.791197 | − | 0.611562i | \(-0.209458\pi\) |
−0.925226 | + | 0.379416i | \(0.876125\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 16.4800i | − | 0.0222402i | ||||||
\(742\) | −206.585 | + | 69.8680i | −0.278417 | + | 0.0941617i | ||||
\(743\) | − | 976.690i | − | 1.31452i | −0.753663 | − | 0.657261i | \(-0.771715\pi\) | ||
0.753663 | − | 0.657261i | \(-0.228285\pi\) | |||||||
\(744\) | −145.581 | + | 252.153i | −0.195673 | + | 0.338916i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −180.707 | − | 312.994i | −0.242235 | − | 0.419563i | ||||
\(747\) | −458.127 | + | 793.499i | −0.613289 | + | 1.06225i | ||||
\(748\) | 359.120 | 0.480107 | ||||||||
\(749\) | −326.794 | − | 65.3845i | −0.436308 | − | 0.0872958i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 417.665 | − | 723.417i | 0.556145 | − | 0.963272i | −0.441668 | − | 0.897178i | \(-0.645613\pi\) |
0.997813 | − | 0.0660933i | \(-0.0210535\pi\) | |||||||
\(752\) | −95.5600 | − | 165.515i | −0.127074 | − | 0.220099i | ||||
\(753\) | −588.553 | + | 339.801i | −0.781611 | + | 0.451263i | ||||
\(754\) | 137.823 | + | 79.5724i | 0.182790 | + | 0.105534i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 22.6325 | + | 19.8931i | 0.0299371 | + | 0.0263136i | ||||
\(757\) | 104.221i | 0.137677i | 0.997628 | + | 0.0688383i | \(0.0219293\pi\) | ||||
−0.997628 | + | 0.0688383i | \(0.978071\pi\) | |||||||
\(758\) | −269.138 | − | 155.387i | −0.355063 | − | 0.204996i | ||||
\(759\) | 108.959 | − | 62.9077i | 0.143557 | − | 0.0828824i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −473.785 | − | 273.540i | −0.622583 | − | 0.359448i | 0.155291 | − | 0.987869i | \(-0.450368\pi\) |
−0.777874 | + | 0.628420i | \(0.783702\pi\) | |||||||
\(762\) | 358.730 | 0.470774 | ||||||||
\(763\) | 395.950 | + | 348.025i | 0.518939 | + | 0.456128i | ||||
\(764\) | −139.809 | −0.182996 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −20.8644 | + | 12.0461i | −0.0272381 | + | 0.0157259i | ||||
\(767\) | −398.447 | + | 230.044i | −0.519488 | + | 0.299927i | ||||
\(768\) | 33.4523 | − | 57.9411i | 0.0435577 | − | 0.0754442i | ||||
\(769\) | − | 341.205i | − | 0.443700i | −0.975081 | − | 0.221850i | \(-0.928790\pi\) | ||
0.975081 | − | 0.221850i | \(-0.0712095\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 414.640 | 0.537795 | ||||||||
\(772\) | 56.0112 | + | 32.3381i | 0.0725534 | + | 0.0418887i | ||||
\(773\) | 245.497 | + | 425.213i | 0.317590 | + | 0.550081i | 0.979985 | − | 0.199074i | \(-0.0637933\pi\) |
−0.662395 | + | 0.749155i | \(0.730460\pi\) | |||||||
\(774\) | 38.9117 | + | 67.3970i | 0.0502735 | + | 0.0870763i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | − | 72.3557i | − | 0.0932419i | ||||||
\(777\) | −608.998 | − | 1800.68i | −0.783781 | − | 2.31748i | ||||
\(778\) | − | 215.272i | − | 0.276699i | ||||||
\(779\) | 7.54416 | − | 13.0669i | 0.00968441 | − | 0.0167739i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −320.647 | − | 555.376i | −0.410559 | − | 0.711109i | ||||
\(782\) | −21.7843 | + | 37.7315i | −0.0278571 | + | 0.0482500i | ||||
\(783\) | −44.0908 | −0.0563101 | ||||||||
\(784\) | 25.1472 | + | 194.380i | 0.0320755 | + | 0.247934i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 393.099 | − | 680.867i | 0.500126 | − | 0.866244i | ||||
\(787\) | 150.228 | + | 260.202i | 0.190887 | + | 0.330625i | 0.945544 | − | 0.325493i | \(-0.105530\pi\) |
−0.754658 | + | 0.656119i | \(0.772197\pi\) | |||||||
\(788\) | −479.956 | + | 277.103i | −0.609081 | + | 0.351653i | ||||
\(789\) | −1572.90 | − | 908.116i | −1.99354 | − | 1.15097i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −191.647 | − | 566.660i | −0.242284 | − | 0.716385i | ||||
\(792\) | − | 317.823i | − | 0.401292i | ||||||
\(793\) | −315.219 | − | 181.992i | −0.397502 | − | 0.229498i | ||||
\(794\) | 456.489 | − | 263.554i | 0.574923 | − | 0.331932i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −290.022 | − | 167.444i | −0.364350 | − | 0.210357i | ||||
\(797\) | −370.072 | −0.464331 | −0.232165 | − | 0.972676i | \(-0.574581\pi\) | ||||
−0.232165 | + | 0.972676i | \(0.574581\pi\) | |||||||
\(798\) | −5.82655 | + | 29.1213i | −0.00730144 | + | 0.0364929i | ||||
\(799\) | 647.860 | 0.810838 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1233.86 | + | 712.369i | −1.54040 | + | 0.889349i | ||||
\(802\) | −798.010 | + | 460.731i | −0.995025 | + | 0.574478i | ||||
\(803\) | 867.330 | − | 1502.26i | 1.08011 | − | 1.87081i | ||||
\(804\) | 774.753i | 0.963623i | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −191.251 | −0.237284 | ||||||||
\(807\) | 331.019 | + | 191.114i | 0.410184 | + | 0.236820i | ||||
\(808\) | 40.3084 | + | 69.8162i | 0.0498867 | + | 0.0864062i | ||||
\(809\) | 245.618 | + | 425.422i | 0.303607 | + | 0.525862i | 0.976950 | − | 0.213468i | \(-0.0684758\pi\) |
−0.673344 | + | 0.739330i | \(0.735142\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 156.802i | − | 0.193344i | −0.995316 | − | 0.0966722i | \(-0.969180\pi\) | ||
0.995316 | − | 0.0966722i | \(-0.0308199\pi\) | |||||||
\(812\) | −215.411 | − | 189.338i | −0.265284 | − | 0.233175i | ||||
\(813\) | 71.4853i | 0.0879278i | ||||||||
\(814\) | 608.106 | − | 1053.27i | 0.747059 | − | 1.29394i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 113.397 | + | 196.409i | 0.138967 | + | 0.240698i | ||||
\(817\) | 2.32640 | − | 4.02944i | 0.00284749 | − | 0.00493199i | ||||
\(818\) | −754.575 | −0.922463 | ||||||||
\(819\) | 64.0143 | − | 319.946i | 0.0781615 | − | 0.390654i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 215.316 | − | 372.939i | 0.262261 | − | 0.454249i | −0.704581 | − | 0.709623i | \(-0.748865\pi\) |
0.966842 | + | 0.255374i | \(0.0821986\pi\) | |||||||
\(822\) | −347.206 | − | 601.378i | −0.422392 | − | 0.731604i | ||||
\(823\) | 613.788 | − | 354.371i | 0.745793 | − | 0.430584i | −0.0783785 | − | 0.996924i | \(-0.524974\pi\) |
0.824172 | + | 0.566340i | \(0.191641\pi\) | |||||||
\(824\) | 138.375 | + | 79.8907i | 0.167930 | + | 0.0969547i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 785.418 | − | 265.632i | 0.950870 | − | 0.321588i | ||||
\(827\) | − | 1460.10i | − | 1.76554i | −0.469805 | − | 0.882770i | \(-0.655676\pi\) | ||
0.469805 | − | 0.882770i | \(-0.344324\pi\) | |||||||
\(828\) | 33.3926 | + | 19.2792i | 0.0403292 | + | 0.0232841i | ||||
\(829\) | 223.095 | − | 128.804i | 0.269113 | − | 0.155373i | −0.359371 | − | 0.933195i | \(-0.617009\pi\) |
0.628485 | + | 0.777822i | \(0.283675\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1450.02 | − | 837.168i | −1.74491 | − | 1.00742i | ||||
\(832\) | 43.9466 | 0.0528204 | ||||||||
\(833\) | −613.256 | − | 255.632i | −0.736202 | − | 0.306881i | ||||
\(834\) | 405.588 | 0.486316 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −16.4558 | + | 9.50079i | −0.0196840 | + | 0.0113646i | ||||
\(837\) | 45.8870 | − | 26.4929i | 0.0548231 | − | 0.0316522i | ||||
\(838\) | 377.774 | − | 654.323i | 0.450804 | − | 0.780815i | ||||
\(839\) | − | 213.621i | − | 0.254613i | −0.991863 | − | 0.127307i | \(-0.959367\pi\) | ||
0.991863 | − | 0.127307i | \(-0.0406332\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −421.353 | −0.501015 | ||||||||
\(842\) | 192.555 | + | 111.172i | 0.228687 | + | 0.132033i | ||||
\(843\) | −1126.28 | − | 1950.77i | −1.33604 | − | 2.31408i | ||||
\(844\) | −128.073 | − | 221.829i | −0.151745 | − | 0.262831i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | − | 573.360i | − | 0.677730i | ||||||
\(847\) | −74.6646 | + | 373.177i | −0.0881519 | + | 0.440586i | ||||
\(848\) | − | 88.1177i | − | 0.103912i | ||||||
\(849\) | −646.485 | + | 1119.74i | −0.761466 | + | 1.31890i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 73.7756 | + | 127.783i | 0.0866929 | + | 0.150156i | ||||
\(852\) | 202.497 | − | 350.735i | 0.237673 | − | 0.411661i | ||||
\(853\) | 1127.37 | 1.32165 | 0.660826 | − | 0.750539i | \(-0.270206\pi\) | ||||
0.660826 | + | 0.750539i | \(0.270206\pi\) | |||||||
\(854\) | 492.672 | + | 433.040i | 0.576899 | + | 0.507073i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 67.3310 | − | 116.621i | 0.0786577 | − | 0.136239i | ||||
\(857\) | 635.212 | + | 1100.22i | 0.741204 | + | 1.28380i | 0.951947 | + | 0.306261i | \(0.0990782\pi\) |
−0.210744 | + | 0.977541i | \(0.567588\pi\) | |||||||
\(858\) | 372.556 | − | 215.095i | 0.434215 | − | 0.250694i | ||||
\(859\) | 221.488 | + | 127.876i | 0.257844 | + | 0.148867i | 0.623351 | − | 0.781942i | \(-0.285771\pi\) |
−0.365506 | + | 0.930809i | \(0.619104\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 406.404 | − | 462.368i | 0.472014 | − | 0.537013i | ||||
\(862\) | 323.199i | 0.374941i | ||||||||
\(863\) | 965.382 | + | 557.364i | 1.11863 | + | 0.645844i | 0.941052 | − | 0.338262i | \(-0.109839\pi\) |
0.177583 | + | 0.984106i | \(0.443172\pi\) | |||||||
\(864\) | −10.5442 | + | 6.08767i | −0.0122039 | + | 0.00704592i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −58.2426 | − | 33.6264i | −0.0672548 | − | 0.0388296i | ||||
\(867\) | 439.677 | 0.507125 | ||||||||
\(868\) | 337.954 | + | 67.6173i | 0.389348 | + | 0.0779001i | ||||
\(869\) | −1009.26 | −1.16141 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −440.720 | + | 254.450i | −0.505993 | + | 0.292135i | ||||
\(872\) | −184.468 | + | 106.503i | −0.211546 | + | 0.122136i | ||||
\(873\) | 108.534 | − | 187.986i | 0.124323 | − | 0.215333i | ||||
\(874\) | − | 2.30528i | − | 0.00263762i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 1095.48 | 1.25055 | ||||||||
\(877\) | 954.194 | + | 550.904i | 1.08802 | + | 0.628169i | 0.933049 | − | 0.359750i | \(-0.117138\pi\) |
0.154972 | + | 0.987919i | \(0.450471\pi\) | |||||||
\(878\) | 52.2226 | + | 90.4523i | 0.0594791 | + | 0.103021i | ||||
\(879\) | 684.500 | + | 1185.59i | 0.778725 | + | 1.34879i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 217.067i | − | 0.246387i | −0.992383 | − | 0.123194i | \(-0.960686\pi\) | ||
0.992383 | − | 0.123194i | \(-0.0393136\pi\) | |||||||
\(882\) | −226.236 | + | 542.735i | −0.256503 | + | 0.615346i | ||||
\(883\) | 516.544i | 0.584988i | 0.956267 | + | 0.292494i | \(0.0944851\pi\) | ||||
−0.956267 | + | 0.292494i | \(0.905515\pi\) | |||||||
\(884\) | −74.4853 | + | 129.012i | −0.0842594 | + | 0.145942i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 165.915 | + | 287.374i | 0.187263 | + | 0.324350i | ||||
\(887\) | 564.905 | − | 978.445i | 0.636872 | − | 1.10309i | −0.349243 | − | 0.937032i | \(-0.613561\pi\) |
0.986115 | − | 0.166062i | \(-0.0531053\pi\) | |||||||
\(888\) | 768.071 | 0.864944 | ||||||||
\(889\) | −136.043 | − | 402.251i | −0.153029 | − | 0.452476i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −565.246 | + | 979.034i | −0.634395 | + | 1.09880i | ||||
\(892\) | −417.169 | − | 722.558i | −0.467679 | − | 0.810043i | ||||
\(893\) | −29.6867 | + | 17.1396i | −0.0332438 | + | 0.0191933i | ||||
\(894\) | −135.187 | − | 78.0504i | −0.151216 | − | 0.0873047i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −77.6569 | − | 15.5375i | −0.0866706 | − | 0.0173409i | ||||
\(897\) | 52.1909i | 0.0581838i | ||||||||
\(898\) | 312.508 | + | 180.426i | 0.348004 | + | 0.200920i | ||||
\(899\) | −436.742 | + | 252.153i | −0.485809 | + | 0.280482i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 258.684 | + | 149.351i | 0.287107 | + | 0.165762i | ||||
\(902\) | 393.863 | 0.436655 | ||||||||
\(903\) | 125.323 | − | 142.581i | 0.138785 | − | 0.157897i | ||||
\(904\) | 241.706 | 0.267373 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −687.349 | + | 396.841i | −0.758663 | + | 0.438014i | ||||
\(907\) | 51.9808 | − | 30.0111i | 0.0573107 | − | 0.0330884i | −0.471071 | − | 0.882095i | \(-0.656132\pi\) |
0.528382 | + | 0.849007i | \(0.322799\pi\) | |||||||
\(908\) | −232.260 | + | 402.286i | −0.255793 | + | 0.443047i | ||||
\(909\) | 241.851i | 0.266062i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1422.25 | 1.56120 | 0.780598 | − | 0.625033i | \(-0.214915\pi\) | ||||
0.780598 | + | 0.625033i | \(0.214915\pi\) | |||||||
\(912\) | −10.3923 | − | 6.00000i | −0.0113951 | − | 0.00657895i | ||||
\(913\) | 714.980 | + | 1238.38i | 0.783111 | + | 1.35639i | ||||
\(914\) | 103.050 | + | 178.488i | 0.112746 | + | 0.195283i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 167.244i | 0.182581i | ||||||||
\(917\) | −912.547 | − | 182.581i | −0.995144 | − | 0.199107i | ||||
\(918\) | − | 41.2721i | − | 0.0449587i | ||||||
\(919\) | 834.849 | − | 1446.00i | 0.908432 | − | 1.57345i | 0.0921886 | − | 0.995742i | \(-0.470614\pi\) |
0.816243 | − | 0.577708i | \(-0.196053\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −535.529 | − | 927.563i | −0.581465 | − | 1.00713i | ||||
\(922\) | 628.144 | − | 1087.98i | 0.681284 | − | 1.18002i | ||||
\(923\) | 266.022 | 0.288215 | ||||||||
\(924\) | −734.382 | + | 248.371i | −0.794786 | + | 0.268800i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 165.473 | − | 286.608i | 0.178697 | − | 0.309512i | ||||
\(927\) | 239.672 | + | 415.124i | 0.258546 | + | 0.447814i | ||||
\(928\) | 100.357 | − | 57.9411i | 0.108143 | − | 0.0624366i | ||||
\(929\) | −839.058 | − | 484.430i | −0.903184 | − | 0.521453i | −0.0249519 | − | 0.999689i | \(-0.507943\pi\) |
−0.878232 | + | 0.478235i | \(0.841277\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 34.8640 | − | 4.51039i | 0.0374479 | − | 0.00484468i | ||||
\(932\) | 438.146i | 0.470114i | ||||||||
\(933\) | 783.408 | + | 452.301i | 0.839666 | + | 0.484781i | ||||
\(934\) | −963.407 | + | 556.223i | −1.03148 | + | 0.595528i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 114.177 | + | 65.9199i | 0.121984 | + | 0.0704272i | ||||
\(937\) | 1212.57 | 1.29410 | 0.647049 | − | 0.762449i | \(-0.276003\pi\) | ||||
0.647049 | + | 0.762449i | \(0.276003\pi\) | |||||||
\(938\) | 868.746 | − | 293.813i | 0.926168 | − | 0.313234i | ||||
\(939\) | 655.742 | 0.698341 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −1293.90 | + | 747.032i | −1.37502 | + | 0.793870i | −0.991555 | − | 0.129684i | \(-0.958604\pi\) |
−0.383468 | + | 0.923554i | \(0.625270\pi\) | |||||||
\(942\) | 1160.98 | − | 670.290i | 1.23246 | − | 0.711560i | ||||
\(943\) | −23.8918 | + | 41.3818i | −0.0253360 | + | 0.0438832i | ||||
\(944\) | 335.016i | 0.354889i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 121.456 | 0.128389 | ||||||||
\(947\) | −671.570 | − | 387.731i | −0.709155 | − | 0.409431i | 0.101593 | − | 0.994826i | \(-0.467606\pi\) |
−0.810748 | + | 0.585395i | \(0.800939\pi\) | |||||||
\(948\) | −318.689 | − | 551.985i | −0.336169 | − | 0.582262i | ||||
\(949\) | 359.787 | + | 623.169i | 0.379122 | + | 0.656659i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 1873.45i | 1.96998i | ||||||||
\(952\) | 177.234 | − | 201.640i | 0.186170 | − | 0.211806i | ||||
\(953\) | − | 1055.40i | − | 1.10745i | −0.832701 | − | 0.553723i | \(-0.813206\pi\) | ||
0.832701 | − | 0.553723i | \(-0.186794\pi\) | |||||||
\(954\) | 132.177 | − | 228.937i | 0.138550 | − | 0.239976i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −193.103 | − | 334.464i | −0.201990 | − | 0.349857i | ||||
\(957\) | 567.183 | − | 982.389i | 0.592667 | − | 1.02653i | ||||
\(958\) | −1042.18 | −1.08787 | ||||||||
\(959\) | −542.665 | + | 617.393i | −0.565866 | + | 0.643788i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −177.477 | + | 307.400i | −0.184680 | + | 0.319875i | ||||
\(962\) | 252.255 | + | 436.919i | 0.262220 | + | 0.454178i | ||||
\(963\) | 349.862 | − | 201.993i | 0.363304 | − | 0.209754i | ||||
\(964\) | 85.7939 | + | 49.5332i | 0.0889979 | + | 0.0513829i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 18.4523 | − | 92.2251i | 0.0191017 | − | 0.0954712i | ||||
\(967\) | 1221.63i | 1.26332i | 0.775245 | + | 0.631661i | \(0.217627\pi\) | ||||
−0.775245 | + | 0.631661i | \(0.782373\pi\) | |||||||
\(968\) | −133.173 | − | 76.8873i | −0.137575 | − | 0.0794290i | ||||
\(969\) | 35.2279 | − | 20.3389i | 0.0363549 | − | 0.0209895i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −455.753 | − | 263.129i | −0.469365 | − | 0.270988i | 0.246609 | − | 0.969115i | \(-0.420684\pi\) |
−0.715974 | + | 0.698127i | \(0.754017\pi\) | |||||||
\(972\) | −675.194 | −0.694644 | ||||||||
\(973\) | −153.813 | − | 454.794i | −0.158081 | − | 0.467414i | ||||
\(974\) | 382.825 | 0.393045 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −229.529 | + | 132.519i | −0.235173 | + | 0.135777i | ||||
\(977\) | −866.114 | + | 500.051i | −0.886504 | + | 0.511823i | −0.872797 | − | 0.488083i | \(-0.837696\pi\) |
−0.0137065 | + | 0.999906i | \(0.504363\pi\) | |||||||
\(978\) | 271.959 | − | 471.047i | 0.278077 | − | 0.481643i | ||||
\(979\) | 2223.53i | 2.27123i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −639.015 | −0.651392 | ||||||||
\(982\) | 931.003 | + | 537.515i | 0.948068 | + | 0.547367i | ||||
\(983\) | −537.850 | − | 931.584i | −0.547152 | − | 0.947695i | −0.998468 | − | 0.0553306i | \(-0.982379\pi\) |
0.451316 | − | 0.892364i | \(-0.350955\pi\) | |||||||
\(984\) | 124.368 | + | 215.411i | 0.126390 | + | 0.218914i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 392.819i | 0.398396i | ||||||||
\(987\) | −1324.84 | + | 448.066i | −1.34229 | + | 0.453968i | ||||
\(988\) | − | 7.88225i | − | 0.00797799i | ||||||
\(989\) | −7.36753 | + | 12.7609i | −0.00744948 | + | 0.0129029i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 938.017 | + | 1624.69i | 0.946536 | + | 1.63945i | 0.752646 | + | 0.658426i | \(0.228777\pi\) |
0.193891 | + | 0.981023i | \(0.437889\pi\) | |||||||
\(992\) | −69.6302 | + | 120.603i | −0.0701917 | + | 0.121576i | ||||
\(993\) | 230.015 | 0.231636 | ||||||||
\(994\) | −470.080 | − | 94.0530i | −0.472918 | − | 0.0946207i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −451.529 | + | 782.071i | −0.453342 | + | 0.785212i | ||||
\(997\) | 291.112 | + | 504.221i | 0.291988 | + | 0.505738i | 0.974280 | − | 0.225342i | \(-0.0723499\pi\) |
−0.682292 | + | 0.731080i | \(0.739017\pi\) | |||||||
\(998\) | 153.696 | − | 88.7365i | 0.154004 | − | 0.0889144i | ||||
\(999\) | −121.048 | − | 69.8869i | −0.121169 | − | 0.0699569i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))