Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,6,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (of order \(6\), 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: | \(12.1891703058\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 27.13 | ||
Character | \(\chi\) | \(=\) | 76.27 |
Dual form | 76.6.f.a.31.13 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.30431 | + | 4.59146i | −0.584125 | + | 0.811663i | ||||
\(3\) | 10.9615 | − | 18.9858i | 0.703179 | − | 1.21794i | −0.264166 | − | 0.964477i | \(-0.585097\pi\) |
0.967345 | − | 0.253464i | \(-0.0815701\pi\) | |||||||
\(4\) | −10.1630 | − | 30.3432i | −0.317595 | − | 0.948226i | ||||
\(5\) | 32.1573 | − | 55.6980i | 0.575247 | − | 0.996357i | −0.420768 | − | 0.907168i | \(-0.638239\pi\) |
0.996015 | − | 0.0891884i | \(-0.0284273\pi\) | |||||||
\(6\) | 50.9526 | + | 113.064i | 0.577814 | + | 1.28218i | ||||
\(7\) | − | 65.5487i | − | 0.505614i | −0.967517 | − | 0.252807i | \(-0.918646\pi\) | ||
0.967517 | − | 0.252807i | \(-0.0813537\pi\) | |||||||
\(8\) | 172.902 | + | 53.6003i | 0.955156 | + | 0.296103i | ||||
\(9\) | −118.808 | − | 205.781i | −0.488921 | − | 0.846836i | ||||
\(10\) | 149.478 | + | 331.693i | 0.472690 | + | 1.04890i | ||||
\(11\) | − | 205.735i | − | 0.512656i | −0.966590 | − | 0.256328i | \(-0.917487\pi\) | ||
0.966590 | − | 0.256328i | \(-0.0825127\pi\) | |||||||
\(12\) | −687.494 | − | 139.653i | −1.37821 | − | 0.279960i | ||||
\(13\) | −519.999 | + | 300.222i | −0.853384 | + | 0.492701i | −0.861791 | − | 0.507263i | \(-0.830657\pi\) |
0.00840724 | + | 0.999965i | \(0.497324\pi\) | |||||||
\(14\) | 300.964 | + | 216.593i | 0.410388 | + | 0.295342i | ||||
\(15\) | −704.982 | − | 1221.07i | −0.809003 | − | 1.40123i | ||||
\(16\) | −817.425 | + | 616.760i | −0.798267 | + | 0.602304i | ||||
\(17\) | −704.492 | + | 1220.22i | −0.591226 | + | 1.02403i | 0.402841 | + | 0.915270i | \(0.368023\pi\) |
−0.994068 | + | 0.108764i | \(0.965311\pi\) | |||||||
\(18\) | 1337.41 | + | 134.464i | 0.972937 | + | 0.0978191i | ||||
\(19\) | −423.996 | − | 1515.36i | −0.269450 | − | 0.963015i | ||||
\(20\) | −2016.87 | − | 409.694i | −1.12747 | − | 0.229026i | ||||
\(21\) | −1244.50 | − | 718.510i | −0.615808 | − | 0.355537i | ||||
\(22\) | 944.623 | + | 679.812i | 0.416104 | + | 0.299455i | ||||
\(23\) | 2526.45 | − | 1458.65i | 0.995843 | − | 0.574950i | 0.0888273 | − | 0.996047i | \(-0.471688\pi\) |
0.907016 | + | 0.421097i | \(0.138355\pi\) | |||||||
\(24\) | 2912.90 | − | 2695.14i | 1.03228 | − | 0.955111i | ||||
\(25\) | −505.680 | − | 875.864i | −0.161818 | − | 0.280277i | ||||
\(26\) | 339.783 | − | 3379.58i | 0.0985754 | − | 0.980460i | ||||
\(27\) | 118.039 | 0.0311614 | ||||||||
\(28\) | −1988.96 | + | 666.174i | −0.479436 | + | 0.160580i | ||||
\(29\) | 2797.82 | − | 1615.32i | 0.617767 | − | 0.356668i | −0.158232 | − | 0.987402i | \(-0.550580\pi\) |
0.775999 | + | 0.630734i | \(0.217246\pi\) | |||||||
\(30\) | 7935.96 | + | 797.881i | 1.60989 | + | 0.161858i | ||||
\(31\) | −4141.41 | −0.774006 | −0.387003 | − | 0.922078i | \(-0.626490\pi\) | ||||
−0.387003 | + | 0.922078i | \(0.626490\pi\) | |||||||
\(32\) | −130.802 | − | 5791.14i | −0.0225807 | − | 0.999745i | ||||
\(33\) | −3906.04 | − | 2255.16i | −0.624385 | − | 0.360489i | ||||
\(34\) | −3274.71 | − | 7266.62i | −0.485821 | − | 1.07804i | ||||
\(35\) | −3650.93 | − | 2107.87i | −0.503772 | − | 0.290853i | ||||
\(36\) | −5036.62 | + | 5696.38i | −0.647714 | + | 0.732559i | ||||
\(37\) | − | 3030.27i | − | 0.363896i | −0.983308 | − | 0.181948i | \(-0.941760\pi\) | ||
0.983308 | − | 0.181948i | \(-0.0582402\pi\) | |||||||
\(38\) | 8358.75 | + | 3060.47i | 0.939036 | + | 0.343819i | ||||
\(39\) | 13163.5i | 1.38583i | ||||||||
\(40\) | 8545.48 | − | 7906.65i | 0.844474 | − | 0.781344i | ||||
\(41\) | −15005.8 | − | 8663.61i | −1.39412 | − | 0.804895i | −0.400351 | − | 0.916362i | \(-0.631112\pi\) |
−0.993768 | + | 0.111467i | \(0.964445\pi\) | |||||||
\(42\) | 7411.21 | − | 3339.87i | 0.648285 | − | 0.292151i | ||||
\(43\) | 9801.92 | + | 5659.14i | 0.808425 | + | 0.466744i | 0.846409 | − | 0.532534i | \(-0.178760\pi\) |
−0.0379835 | + | 0.999278i | \(0.512093\pi\) | |||||||
\(44\) | −6242.66 | + | 2090.89i | −0.486114 | + | 0.162817i | ||||
\(45\) | −15282.1 | −1.12500 | ||||||||
\(46\) | −1650.86 | + | 16419.9i | −0.115031 | + | 1.14413i | ||||
\(47\) | −1515.26 | + | 874.836i | −0.100056 | + | 0.0577673i | −0.549193 | − | 0.835696i | \(-0.685065\pi\) |
0.449137 | + | 0.893463i | \(0.351731\pi\) | |||||||
\(48\) | 2749.51 | + | 22280.1i | 0.172247 | + | 1.39577i | ||||
\(49\) | 12510.4 | 0.744355 | ||||||||
\(50\) | 5692.42 | + | 572.316i | 0.322012 | + | 0.0323751i | ||||
\(51\) | 15444.5 | + | 26750.7i | 0.831476 | + | 1.44016i | ||||
\(52\) | 14394.5 | + | 12727.3i | 0.738223 | + | 0.652722i | ||||
\(53\) | −20402.5 | + | 11779.4i | −0.997684 | + | 0.576013i | −0.907562 | − | 0.419918i | \(-0.862059\pi\) |
−0.0901214 | + | 0.995931i | \(0.528726\pi\) | |||||||
\(54\) | −390.039 | + | 541.973i | −0.0182022 | + | 0.0252926i | ||||
\(55\) | −11459.0 | − | 6615.87i | −0.510788 | − | 0.294904i | ||||
\(56\) | 3513.43 | − | 11333.5i | 0.149714 | − | 0.482940i | ||||
\(57\) | −33418.1 | − | 8560.71i | −1.36237 | − | 0.348998i | ||||
\(58\) | −1828.18 | + | 18183.6i | −0.0713590 | + | 0.709757i | ||||
\(59\) | 1219.20 | − | 2111.72i | 0.0455980 | − | 0.0789780i | −0.842326 | − | 0.538969i | \(-0.818814\pi\) |
0.887924 | + | 0.459991i | \(0.152147\pi\) | |||||||
\(60\) | −29886.3 | + | 33801.2i | −1.07175 | + | 1.21214i | ||||
\(61\) | 15321.2 | + | 26537.1i | 0.527191 | + | 0.913121i | 0.999498 | + | 0.0316872i | \(0.0100880\pi\) |
−0.472307 | + | 0.881434i | \(0.656579\pi\) | |||||||
\(62\) | 13684.5 | − | 19015.1i | 0.452117 | − | 0.628233i | ||||
\(63\) | −13488.7 | + | 7787.70i | −0.428172 | + | 0.247205i | ||||
\(64\) | 27022.0 | + | 18535.2i | 0.824647 | + | 0.565648i | ||||
\(65\) | 38617.3i | 1.13370i | ||||||||
\(66\) | 23261.2 | − | 10482.7i | 0.657314 | − | 0.296220i | ||||
\(67\) | −16352.7 | − | 28323.7i | −0.445043 | − | 0.770837i | 0.553012 | − | 0.833173i | \(-0.313478\pi\) |
−0.998055 | + | 0.0623360i | \(0.980145\pi\) | |||||||
\(68\) | 44185.1 | + | 8975.46i | 1.15879 | + | 0.235388i | ||||
\(69\) | − | 63955.6i | − | 1.61717i | ||||||
\(70\) | 21742.0 | − | 9798.07i | 0.530340 | − | 0.238999i | ||||
\(71\) | 33582.7 | − | 58167.0i | 0.790624 | − | 1.36940i | −0.134958 | − | 0.990851i | \(-0.543090\pi\) |
0.925581 | − | 0.378549i | \(-0.123577\pi\) | |||||||
\(72\) | −9512.15 | − | 41948.1i | −0.216246 | − | 0.953632i | ||||
\(73\) | 36861.6 | − | 63846.2i | 0.809594 | − | 1.40226i | −0.103551 | − | 0.994624i | \(-0.533021\pi\) |
0.913145 | − | 0.407634i | \(-0.133646\pi\) | |||||||
\(74\) | 13913.4 | + | 10013.0i | 0.295361 | + | 0.212561i | ||||
\(75\) | −22172.0 | −0.455147 | ||||||||
\(76\) | −41672.0 | + | 28266.1i | −0.827580 | + | 0.561348i | ||||
\(77\) | −13485.6 | −0.259206 | ||||||||
\(78\) | −60439.7 | − | 43496.3i | −1.12483 | − | 0.809498i | ||||
\(79\) | 4630.21 | − | 8019.77i | 0.0834706 | − | 0.144575i | −0.821268 | − | 0.570543i | \(-0.806733\pi\) |
0.904738 | + | 0.425967i | \(0.140066\pi\) | |||||||
\(80\) | 8066.14 | + | 65362.3i | 0.140910 | + | 1.14183i | ||||
\(81\) | 30164.2 | − | 52245.9i | 0.510833 | − | 0.884789i | ||||
\(82\) | 89362.5 | − | 40271.4i | 1.46764 | − | 0.661396i | ||||
\(83\) | 105589.i | 1.68238i | 0.540740 | + | 0.841190i | \(0.318144\pi\) | ||||
−0.540740 | + | 0.841190i | \(0.681856\pi\) | |||||||
\(84\) | −9154.06 | + | 45064.3i | −0.141552 | + | 0.696842i | ||||
\(85\) | 45309.1 | + | 78477.6i | 0.680202 | + | 1.17814i | ||||
\(86\) | −58372.3 | + | 26305.6i | −0.851061 | + | 0.383532i | ||||
\(87\) | − | 70825.2i | − | 1.00320i | ||||||
\(88\) | 11027.4 | − | 35571.9i | 0.151799 | − | 0.489666i | ||||
\(89\) | 5182.24 | − | 2991.97i | 0.0693494 | − | 0.0400389i | −0.464924 | − | 0.885350i | \(-0.653918\pi\) |
0.534274 | + | 0.845312i | \(0.320585\pi\) | |||||||
\(90\) | 50497.0 | − | 70167.4i | 0.657142 | − | 0.913123i | ||||
\(91\) | 19679.1 | + | 34085.3i | 0.249117 | + | 0.431483i | ||||
\(92\) | −69936.5 | − | 61836.4i | −0.861458 | − | 0.761683i | ||||
\(93\) | −45396.0 | + | 78628.2i | −0.544265 | + | 0.942694i | ||||
\(94\) | 990.117 | − | 9847.99i | 0.0115576 | − | 0.114955i | ||||
\(95\) | −98037.3 | − | 25114.2i | −1.11451 | − | 0.285503i | ||||
\(96\) | −111383. | − | 60996.1i | −1.23351 | − | 0.675498i | ||||
\(97\) | −54007.8 | − | 31181.4i | −0.582810 | − | 0.336486i | 0.179439 | − | 0.983769i | \(-0.442572\pi\) |
−0.762249 | + | 0.647284i | \(0.775905\pi\) | |||||||
\(98\) | −41338.2 | + | 57440.9i | −0.434796 | + | 0.604166i | ||||
\(99\) | −42336.3 | + | 24442.9i | −0.434136 | + | 0.250648i | ||||
\(100\) | −21437.3 | + | 24245.4i | −0.214373 | + | 0.242454i | ||||
\(101\) | 4742.13 | + | 8213.62i | 0.0462562 | + | 0.0801182i | 0.888227 | − | 0.459406i | \(-0.151938\pi\) |
−0.841970 | + | 0.539524i | \(0.818604\pi\) | |||||||
\(102\) | −173858. | − | 17479.7i | −1.65461 | − | 0.166354i | ||||
\(103\) | 186473. | 1.73190 | 0.865951 | − | 0.500129i | \(-0.166714\pi\) | ||||
0.865951 | + | 0.500129i | \(0.166714\pi\) | |||||||
\(104\) | −106001. | + | 24036.7i | −0.961005 | + | 0.217918i | ||||
\(105\) | −80039.2 | + | 46210.7i | −0.708483 | + | 0.409043i | ||||
\(106\) | 13331.6 | − | 132600.i | 0.115244 | − | 1.14625i | ||||
\(107\) | 104789. | 0.884822 | 0.442411 | − | 0.896812i | \(-0.354123\pi\) | ||||
0.442411 | + | 0.896812i | \(0.354123\pi\) | |||||||
\(108\) | −1199.64 | − | 3581.70i | −0.00989673 | − | 0.0295481i | ||||
\(109\) | 201966. | + | 116605.i | 1.62822 | + | 0.940053i | 0.984624 | + | 0.174687i | \(0.0558915\pi\) |
0.643596 | + | 0.765366i | \(0.277442\pi\) | |||||||
\(110\) | 68240.7 | − | 30752.8i | 0.537727 | − | 0.242327i | ||||
\(111\) | −57532.2 | − | 33216.2i | −0.443204 | − | 0.255884i | ||||
\(112\) | 40427.8 | + | 53581.1i | 0.304533 | + | 0.403614i | ||||
\(113\) | 35255.2i | 0.259733i | 0.991531 | + | 0.129867i | \(0.0414549\pi\) | ||||
−0.991531 | + | 0.129867i | \(0.958545\pi\) | |||||||
\(114\) | 149730. | − | 125150.i | 1.07906 | − | 0.901925i | ||||
\(115\) | − | 187624.i | − | 1.32295i | ||||||
\(116\) | −77448.4 | − | 68478.3i | −0.534401 | − | 0.472507i | ||||
\(117\) | 123560. | + | 71337.4i | 0.834475 | + | 0.481784i | ||||
\(118\) | 5667.26 | + | 12575.7i | 0.0374686 | + | 0.0831433i | ||||
\(119\) | 79983.5 | + | 46178.5i | 0.517765 | + | 0.298932i | ||||
\(120\) | −56443.2 | − | 248912.i | −0.357815 | − | 1.57795i | ||||
\(121\) | 118724. | 0.737184 | ||||||||
\(122\) | −172470. | − | 17340.1i | −1.04909 | − | 0.105476i | ||||
\(123\) | −328972. | + | 189932.i | −1.96063 | + | 1.13197i | ||||
\(124\) | 42089.4 | + | 125664.i | 0.245821 | + | 0.733933i | ||||
\(125\) | 135938. | 0.778153 | ||||||||
\(126\) | 8813.91 | − | 87665.8i | 0.0494587 | − | 0.491930i | ||||
\(127\) | 25347.8 | + | 43903.6i | 0.139454 | + | 0.241541i | 0.927290 | − | 0.374344i | \(-0.122132\pi\) |
−0.787836 | + | 0.615885i | \(0.788799\pi\) | |||||||
\(128\) | −174393. | + | 62824.6i | −0.940813 | + | 0.338926i | ||||
\(129\) | 214887. | − | 124065.i | 1.13694 | − | 0.656410i | ||||
\(130\) | −177310. | − | 127603.i | −0.920183 | − | 0.662223i | ||||
\(131\) | −185329. | − | 107000.i | −0.943551 | − | 0.544760i | −0.0524796 | − | 0.998622i | \(-0.516712\pi\) |
−0.891072 | + | 0.453862i | \(0.850046\pi\) | |||||||
\(132\) | −28731.4 | + | 141441.i | −0.143523 | + | 0.706548i | ||||
\(133\) | −99330.1 | + | 27792.4i | −0.486913 | + | 0.136237i | ||||
\(134\) | 184081. | + | 18507.5i | 0.885621 | + | 0.0890403i | ||||
\(135\) | 3795.83 | − | 6574.56i | 0.0179255 | − | 0.0310479i | ||||
\(136\) | −187212. | + | 173216.i | −0.867932 | + | 0.803048i | ||||
\(137\) | −155384. | − | 269133.i | −0.707302 | − | 1.22508i | −0.965854 | − | 0.259086i | \(-0.916579\pi\) |
0.258552 | − | 0.965997i | \(-0.416755\pi\) | |||||||
\(138\) | 293650. | + | 211329.i | 1.31260 | + | 0.944631i | ||||
\(139\) | 364507. | − | 210448.i | 1.60018 | − | 0.923864i | 0.608729 | − | 0.793378i | \(-0.291679\pi\) |
0.991450 | − | 0.130486i | \(-0.0416538\pi\) | |||||||
\(140\) | −26854.9 | + | 132203.i | −0.115799 | + | 0.570063i | ||||
\(141\) | 38358.0i | 0.162483i | ||||||||
\(142\) | 156104. | + | 346395.i | 0.649669 | + | 1.44162i | ||||
\(143\) | 61766.0 | + | 106982.i | 0.252586 | + | 0.437492i | ||||
\(144\) | 224034. | + | 94934.8i | 0.900343 | + | 0.381522i | ||||
\(145\) | − | 207777.i | − | 0.820688i | ||||||
\(146\) | 171345. | + | 380216.i | 0.665257 | + | 1.47621i | ||||
\(147\) | 137132. | − | 237520.i | 0.523415 | − | 0.906581i | ||||
\(148\) | −91948.2 | + | 30796.8i | −0.345056 | + | 0.115572i | ||||
\(149\) | −172880. | + | 299437.i | −0.637939 | + | 1.10494i | 0.347946 | + | 0.937515i | \(0.386879\pi\) |
−0.985884 | + | 0.167428i | \(0.946454\pi\) | |||||||
\(150\) | 73263.2 | − | 101802.i | 0.265863 | − | 0.369426i | ||||
\(151\) | −66543.1 | −0.237498 | −0.118749 | − | 0.992924i | \(-0.537888\pi\) | ||||
−0.118749 | + | 0.992924i | \(0.537888\pi\) | |||||||
\(152\) | 7914.35 | − | 284735.i | 0.0277847 | − | 0.999614i | ||||
\(153\) | 334797. | 1.15625 | ||||||||
\(154\) | 44560.7 | − | 61918.8i | 0.151409 | − | 0.210388i | ||||
\(155\) | −133177. | + | 230669.i | −0.445245 | + | 0.771186i | ||||
\(156\) | 399423. | − | 133781.i | 1.31408 | − | 0.440133i | ||||
\(157\) | −71337.2 | + | 123560.i | −0.230976 | + | 0.400062i | −0.958096 | − | 0.286449i | \(-0.907525\pi\) |
0.727120 | + | 0.686511i | \(0.240859\pi\) | |||||||
\(158\) | 21522.8 | + | 47759.3i | 0.0685892 | + | 0.152200i | ||||
\(159\) | 516477.i | 1.62016i | ||||||||
\(160\) | −326761. | − | 178942.i | −1.00909 | − | 0.552602i | ||||
\(161\) | −95612.3 | − | 165605.i | −0.290703 | − | 0.503512i | ||||
\(162\) | 140213. | + | 311135.i | 0.419760 | + | 0.931453i | ||||
\(163\) | − | 419667.i | − | 1.23719i | −0.785711 | − | 0.618594i | \(-0.787703\pi\) | ||
0.785711 | − | 0.618594i | \(-0.212297\pi\) | |||||||
\(164\) | −110377. | + | 543374.i | −0.320457 | + | 1.57757i | ||||
\(165\) | −251215. | + | 145039.i | −0.718351 | + | 0.414740i | ||||
\(166\) | −484808. | − | 348899.i | −1.36553 | − | 0.982720i | ||||
\(167\) | 49308.0 | + | 85404.0i | 0.136813 | + | 0.236966i | 0.926288 | − | 0.376815i | \(-0.122981\pi\) |
−0.789476 | + | 0.613782i | \(0.789648\pi\) | |||||||
\(168\) | −176663. | − | 190937.i | −0.482917 | − | 0.521936i | ||||
\(169\) | −5380.25 | + | 9318.86i | −0.0144906 | + | 0.0250984i | ||||
\(170\) | −510042. | − | 51279.6i | −1.35358 | − | 0.136089i | ||||
\(171\) | −261459. | + | 267287.i | −0.683776 | + | 0.699018i | ||||
\(172\) | 72099.3 | − | 354936.i | 0.185827 | − | 0.914806i | ||||
\(173\) | −103108. | − | 59529.6i | −0.261926 | − | 0.151223i | 0.363287 | − | 0.931677i | \(-0.381654\pi\) |
−0.625213 | + | 0.780454i | \(0.714988\pi\) | |||||||
\(174\) | 325191. | + | 234029.i | 0.814265 | + | 0.585997i | ||||
\(175\) | −57411.7 | + | 33146.7i | −0.141712 | + | 0.0818172i | ||||
\(176\) | 126889. | + | 168173.i | 0.308775 | + | 0.409236i | ||||
\(177\) | −26728.5 | − | 46295.1i | −0.0641271 | − | 0.111071i | ||||
\(178\) | −3386.23 | + | 33680.5i | −0.00801063 | + | 0.0796761i | ||||
\(179\) | −538243. | −1.25558 | −0.627792 | − | 0.778381i | \(-0.716041\pi\) | ||||
−0.627792 | + | 0.778381i | \(0.716041\pi\) | |||||||
\(180\) | 155313. | + | 463710.i | 0.357295 | + | 1.06676i | ||||
\(181\) | −174682. | + | 100852.i | −0.396324 | + | 0.228818i | −0.684897 | − | 0.728640i | \(-0.740153\pi\) |
0.288572 | + | 0.957458i | \(0.406819\pi\) | |||||||
\(182\) | −221527. | − | 22272.3i | −0.495734 | − | 0.0498411i | ||||
\(183\) | 671771. | 1.48284 | ||||||||
\(184\) | 515011. | − | 116784.i | 1.12143 | − | 0.254296i | ||||
\(185\) | −168780. | − | 97445.2i | −0.362570 | − | 0.209330i | ||||
\(186\) | −211016. | − | 468246.i | −0.447232 | − | 0.992411i | ||||
\(187\) | 251041. | + | 144938.i | 0.524977 | + | 0.303095i | ||||
\(188\) | 41945.0 | + | 37086.9i | 0.0865538 | + | 0.0765290i | ||||
\(189\) | − | 7737.33i | − | 0.0157557i | ||||||
\(190\) | 439257. | − | 367149.i | 0.882744 | − | 0.737834i | ||||
\(191\) | 317357.i | 0.629454i | 0.949182 | + | 0.314727i | \(0.101913\pi\) | ||||
−0.949182 | + | 0.314727i | \(0.898087\pi\) | |||||||
\(192\) | 648107. | − | 309863.i | 1.26880 | − | 0.606619i | ||||
\(193\) | −323436. | − | 186736.i | −0.625022 | − | 0.360857i | 0.153800 | − | 0.988102i | \(-0.450849\pi\) |
−0.778822 | + | 0.627245i | \(0.784182\pi\) | |||||||
\(194\) | 321627. | − | 144942.i | 0.613547 | − | 0.276496i | ||||
\(195\) | 733181. | + | 423302.i | 1.38078 | + | 0.797194i | ||||
\(196\) | −127143. | − | 379605.i | −0.236404 | − | 0.705817i | ||||
\(197\) | 1.08883e6 | 1.99892 | 0.999458 | − | 0.0329320i | \(-0.0104845\pi\) | ||||
0.999458 | + | 0.0329320i | \(0.0104845\pi\) | |||||||
\(198\) | 27663.8 | − | 275153.i | 0.0501475 | − | 0.498782i | ||||
\(199\) | −426481. | + | 246229.i | −0.763426 | + | 0.440764i | −0.830525 | − | 0.556982i | \(-0.811959\pi\) |
0.0670983 | + | 0.997746i | \(0.478626\pi\) | |||||||
\(200\) | −40486.4 | − | 178543.i | −0.0715706 | − | 0.315622i | ||||
\(201\) | −716998. | −1.25178 | ||||||||
\(202\) | −53382.0 | − | 5367.02i | −0.0920484 | − | 0.00925454i | ||||
\(203\) | −105882. | − | 183393.i | −0.180336 | − | 0.312351i | ||||
\(204\) | 654740. | − | 740506.i | 1.10152 | − | 1.24581i | ||||
\(205\) | −965092. | + | 557196.i | −1.60393 | + | 0.926027i | ||||
\(206\) | −616166. | + | 856185.i | −1.01165 | + | 1.40572i | ||||
\(207\) | −600324. | − | 346597.i | −0.973778 | − | 0.562211i | ||||
\(208\) | 239896. | − | 566123.i | 0.384472 | − | 0.907304i | ||||
\(209\) | −311763. | + | 87230.6i | −0.493695 | + | 0.138135i | ||||
\(210\) | 52300.0 | − | 520191.i | 0.0818377 | − | 0.813982i | ||||
\(211\) | 215500. | − | 373257.i | 0.333228 | − | 0.577168i | −0.649915 | − | 0.760007i | \(-0.725195\pi\) |
0.983143 | + | 0.182839i | \(0.0585287\pi\) | |||||||
\(212\) | 564775. | + | 499363.i | 0.863050 | + | 0.763091i | ||||
\(213\) | −736232. | − | 1.27519e6i | −1.11190 | − | 1.92587i | ||||
\(214\) | −346255. | + | 481134.i | −0.516847 | + | 0.718178i | ||||
\(215\) | 630406. | − | 363965.i | 0.930088 | − | 0.536987i | ||||
\(216\) | 20409.2 | + | 6326.95i | 0.0297640 | + | 0.00922699i | ||||
\(217\) | 271464.i | 0.391348i | ||||||||
\(218\) | −1.20275e6 | + | 542021.i | −1.71409 | + | 0.772458i | ||||
\(219\) | −808115. | − | 1.39970e6i | −1.13858 | − | 1.97208i | ||||
\(220\) | −84288.3 | + | 414941.i | −0.117412 | + | 0.578003i | ||||
\(221\) | − | 846015.i | − | 1.16519i | ||||||
\(222\) | 342615. | − | 154400.i | 0.466578 | − | 0.210264i | ||||
\(223\) | 22631.6 | − | 39199.1i | 0.0304757 | − | 0.0527855i | −0.850385 | − | 0.526160i | \(-0.823631\pi\) |
0.880861 | + | 0.473375i | \(0.156964\pi\) | |||||||
\(224\) | −379602. | + | 8573.87i | −0.505485 | + | 0.0114171i | ||||
\(225\) | −120158. | + | 208119.i | −0.158232 | + | 0.274066i | ||||
\(226\) | −161873. | − | 116494.i | −0.210816 | − | 0.151717i | ||||
\(227\) | −297272. | −0.382903 | −0.191452 | − | 0.981502i | \(-0.561320\pi\) | ||||
−0.191452 | + | 0.981502i | \(0.561320\pi\) | |||||||
\(228\) | 79869.6 | + | 1.10102e6i | 0.101752 | + | 1.40267i | ||||
\(229\) | 1.03706e6 | 1.30681 | 0.653407 | − | 0.757007i | \(-0.273339\pi\) | ||||
0.653407 | + | 0.757007i | \(0.273339\pi\) | |||||||
\(230\) | 861470. | + | 619969.i | 1.07379 | + | 0.772770i | ||||
\(231\) | −147822. | + | 256036.i | −0.182268 | + | 0.315697i | ||||
\(232\) | 570329. | − | 129328.i | 0.695674 | − | 0.157751i | ||||
\(233\) | 149975. | − | 259764.i | 0.180979 | − | 0.313465i | −0.761235 | − | 0.648476i | \(-0.775407\pi\) |
0.942214 | + | 0.335011i | \(0.108740\pi\) | |||||||
\(234\) | −735824. | + | 331600.i | −0.878485 | + | 0.395890i | ||||
\(235\) | 112529.i | 0.132922i | ||||||||
\(236\) | −76467.2 | − | 15533.0i | −0.0893707 | − | 0.0181542i | ||||
\(237\) | −101508. | − | 175817.i | −0.117389 | − | 0.203325i | ||||
\(238\) | −476317. | + | 214653.i | −0.545072 | + | 0.245638i | ||||
\(239\) | − | 894768.i | − | 1.01325i | −0.862167 | − | 0.506624i | \(-0.830893\pi\) | ||
0.862167 | − | 0.506624i | \(-0.169107\pi\) | |||||||
\(240\) | 1.32937e6 | + | 563324.i | 1.48977 | + | 0.631292i | ||||
\(241\) | −1.39170e6 | + | 803499.i | −1.54349 | + | 0.891133i | −0.544873 | + | 0.838519i | \(0.683422\pi\) |
−0.998615 | + | 0.0526143i | \(0.983245\pi\) | |||||||
\(242\) | −392302. | + | 545118.i | −0.430608 | + | 0.598345i | ||||
\(243\) | −646946. | − | 1.12054e6i | −0.702834 | − | 1.21734i | ||||
\(244\) | 649511. | − | 734592.i | 0.698412 | − | 0.789899i | ||||
\(245\) | 402299. | − | 696803.i | 0.428188 | − | 0.741643i | ||||
\(246\) | 214960. | − | 2.13806e6i | 0.226475 | − | 2.25259i | ||||
\(247\) | 675423. | + | 660695.i | 0.704423 | + | 0.689063i | ||||
\(248\) | −716058. | − | 221981.i | −0.739297 | − | 0.229185i | ||||
\(249\) | 2.00470e6 | + | 1.15741e6i | 2.04904 | + | 1.18301i | ||||
\(250\) | −449181. | + | 624153.i | −0.454539 | + | 0.631598i | ||||
\(251\) | −1.50808e6 | + | 870691.i | −1.51092 | + | 0.872328i | −0.510997 | + | 0.859582i | \(0.670724\pi\) |
−0.999919 | + | 0.0127454i | \(0.995943\pi\) | |||||||
\(252\) | 373390. | + | 330144.i | 0.370392 | + | 0.327493i | ||||
\(253\) | −300094. | − | 519778.i | −0.294752 | − | 0.510525i | ||||
\(254\) | −285339. | − | 28687.9i | −0.277509 | − | 0.0279007i | ||||
\(255\) | 1.98662e6 | 1.91321 | ||||||||
\(256\) | 287791. | − | 1.00831e6i | 0.274459 | − | 0.961599i | ||||
\(257\) | 156186. | − | 90174.1i | 0.147506 | − | 0.0851626i | −0.424431 | − | 0.905460i | \(-0.639526\pi\) |
0.571936 | + | 0.820298i | \(0.306192\pi\) | |||||||
\(258\) | −140414. | + | 1.39659e6i | −0.131329 | + | 1.30623i | ||||
\(259\) | −198630. | −0.183991 | ||||||||
\(260\) | 1.17177e6 | − | 392469.i | 1.07500 | − | 0.360058i | ||||
\(261\) | −664805. | − | 383826.i | −0.604078 | − | 0.348765i | ||||
\(262\) | 1.10367e6 | − | 497371.i | 0.993314 | − | 0.447638i | ||||
\(263\) | 456694. | + | 263672.i | 0.407133 | + | 0.235058i | 0.689557 | − | 0.724231i | \(-0.257805\pi\) |
−0.282424 | + | 0.959290i | \(0.591139\pi\) | |||||||
\(264\) | −554485. | − | 599285.i | −0.489643 | − | 0.529205i | ||||
\(265\) | 1.51517e6i | 1.32540i | ||||||||
\(266\) | 200610. | − | 547905.i | 0.173840 | − | 0.474789i | ||||
\(267\) | − | 131186.i | − | 0.112618i | ||||||
\(268\) | −693239. | + | 784048.i | −0.589585 | + | 0.666816i | ||||
\(269\) | 275543. | + | 159085.i | 0.232171 | + | 0.134044i | 0.611573 | − | 0.791188i | \(-0.290537\pi\) |
−0.379402 | + | 0.925232i | \(0.623870\pi\) | |||||||
\(270\) | 17644.3 | + | 39152.8i | 0.0147297 | + | 0.0326854i | ||||
\(271\) | 792941. | + | 457804.i | 0.655870 | + | 0.378666i | 0.790701 | − | 0.612202i | \(-0.209716\pi\) |
−0.134832 | + | 0.990868i | \(0.543049\pi\) | |||||||
\(272\) | −176711. | − | 1.43194e6i | −0.144824 | − | 1.17355i | ||||
\(273\) | 862850. | 0.700694 | ||||||||
\(274\) | 1.74915e6 | + | 175860.i | 1.40751 | + | 0.141511i | ||||
\(275\) | −180196. | + | 104036.i | −0.143685 | + | 0.0829568i | ||||
\(276\) | −1.94062e6 | + | 649984.i | −1.53344 | + | 0.513606i | ||||
\(277\) | 1.72464e6 | 1.35051 | 0.675256 | − | 0.737583i | \(-0.264033\pi\) | ||||
0.675256 | + | 0.737583i | \(0.264033\pi\) | |||||||
\(278\) | −238180. | + | 2.36901e6i | −0.184839 | + | 1.83846i | ||||
\(279\) | 492033. | + | 852225.i | 0.378428 | + | 0.655457i | ||||
\(280\) | −518270. | − | 560145.i | −0.395058 | − | 0.426978i | ||||
\(281\) | 58936.5 | − | 34027.0i | 0.0445265 | − | 0.0257074i | −0.477572 | − | 0.878593i | \(-0.658483\pi\) |
0.522098 | + | 0.852886i | \(0.325150\pi\) | |||||||
\(282\) | −176119. | − | 126747.i | −0.131882 | − | 0.0949104i | ||||
\(283\) | 632993. | + | 365459.i | 0.469822 | + | 0.271252i | 0.716165 | − | 0.697931i | \(-0.245896\pi\) |
−0.246343 | + | 0.969183i | \(0.579229\pi\) | |||||||
\(284\) | −2.10628e6 | − | 427855.i | −1.54960 | − | 0.314775i | ||||
\(285\) | −1.55145e6 | + | 1.58603e6i | −1.13142 | + | 1.15664i | ||||
\(286\) | −695298. | − | 69905.2i | −0.502638 | − | 0.0505352i | ||||
\(287\) | −567888. | + | 983611.i | −0.406966 | + | 0.704886i | ||||
\(288\) | −1.17617e6 | + | 714950.i | −0.835580 | + | 0.507919i | ||||
\(289\) | −282689. | − | 489631.i | −0.199097 | − | 0.344846i | ||||
\(290\) | 954001. | + | 686561.i | 0.666122 | + | 0.479385i | ||||
\(291\) | −1.18401e6 | + | 683588.i | −0.819639 | + | 0.473219i | ||||
\(292\) | −2.31193e6 | − | 469629.i | −1.58678 | − | 0.322328i | ||||
\(293\) | 1.92963e6i | 1.31312i | 0.754272 | + | 0.656562i | \(0.227990\pi\) | ||||
−0.754272 | + | 0.656562i | \(0.772010\pi\) | |||||||
\(294\) | 637436. | + | 1.41448e6i | 0.430099 | + | 0.954393i | ||||
\(295\) | −78412.4 | − | 135814.i | −0.0524602 | − | 0.0908637i | ||||
\(296\) | 162423. | − | 523939.i | 0.107750 | − | 0.347577i | ||||
\(297\) | − | 24284.8i | − | 0.0159751i | ||||||
\(298\) | −803604. | − | 1.78320e6i | −0.524205 | − | 1.16322i | ||||
\(299\) | −875834. | + | 1.51699e6i | −0.566558 | + | 0.981307i | ||||
\(300\) | 225335. | + | 672771.i | 0.144553 | + | 0.431583i | ||||
\(301\) | 370949. | − | 642503.i | 0.235992 | − | 0.408751i | ||||
\(302\) | 219879. | − | 305530.i | 0.138729 | − | 0.192769i | ||||
\(303\) | 207923. | 0.130106 | ||||||||
\(304\) | 1.28120e6 | + | 977193.i | 0.795120 | + | 0.606452i | ||||
\(305\) | 1.97075e6 | 1.21306 | ||||||||
\(306\) | −1.10627e6 | + | 1.53721e6i | −0.675396 | + | 0.938488i | ||||
\(307\) | −258774. | + | 448209.i | −0.156702 | + | 0.271416i | −0.933677 | − | 0.358115i | \(-0.883420\pi\) |
0.776976 | + | 0.629531i | \(0.216753\pi\) | |||||||
\(308\) | 137055. | + | 409198.i | 0.0823225 | + | 0.245786i | ||||
\(309\) | 2.04402e6 | − | 3.54035e6i | 1.21784 | − | 2.10936i | ||||
\(310\) | −619049. | − | 1.37368e6i | −0.365865 | − | 0.811858i | ||||
\(311\) | 55808.2i | 0.0327187i | 0.999866 | + | 0.0163594i | \(0.00520758\pi\) | ||||
−0.999866 | + | 0.0163594i | \(0.994792\pi\) | |||||||
\(312\) | −705567. | + | 2.27599e6i | −0.410348 | + | 1.32368i | ||||
\(313\) | 459230. | + | 795410.i | 0.264953 | + | 0.458913i | 0.967551 | − | 0.252674i | \(-0.0813101\pi\) |
−0.702598 | + | 0.711587i | \(0.747977\pi\) | |||||||
\(314\) | −331599. | − | 735821.i | −0.189797 | − | 0.421161i | ||||
\(315\) | 1.00172e6i | 0.568816i | ||||||||
\(316\) | −290403. | − | 58990.5i | −0.163600 | − | 0.0332326i | ||||
\(317\) | −1.83683e6 | + | 1.06050e6i | −1.02665 | + | 0.592736i | −0.916023 | − | 0.401127i | \(-0.868619\pi\) |
−0.110625 | + | 0.993862i | \(0.535285\pi\) | |||||||
\(318\) | −2.37138e6 | − | 1.70660e6i | −1.31503 | − | 0.946377i | ||||
\(319\) | −332328. | − | 575608.i | −0.182848 | − | 0.316702i | ||||
\(320\) | 1.90133e6 | − | 909033.i | 1.03796 | − | 0.496255i | ||||
\(321\) | 1.14864e6 | − | 1.98950e6i | 0.622188 | − | 1.07766i | ||||
\(322\) | 1.07630e6 | + | 108211.i | 0.578489 | + | 0.0581612i | ||||
\(323\) | 2.14777e6 | + | 550195.i | 1.14546 | + | 0.293434i | ||||
\(324\) | −1.89187e6 | − | 384302.i | −1.00122 | − | 0.203381i | ||||
\(325\) | 525907. | + | 303633.i | 0.276185 | + | 0.159456i | ||||
\(326\) | 1.92688e6 | + | 1.38671e6i | 1.00418 | + | 0.722672i | ||||
\(327\) | 4.42770e6 | − | 2.55633e6i | 2.28986 | − | 1.32205i | ||||
\(328\) | −2.13016e6 | − | 2.30227e6i | −1.09327 | − | 1.18160i | ||||
\(329\) | 57344.3 | + | 99323.3i | 0.0292079 | + | 0.0505896i | ||||
\(330\) | 164152. | − | 1.63270e6i | 0.0829775 | − | 0.825319i | ||||
\(331\) | −1.75591e6 | −0.880913 | −0.440457 | − | 0.897774i | \(-0.645183\pi\) | ||||
−0.440457 | + | 0.897774i | \(0.645183\pi\) | |||||||
\(332\) | 3.20392e6 | − | 1.07311e6i | 1.59528 | − | 0.534316i | ||||
\(333\) | −623573. | + | 360020.i | −0.308160 | + | 0.177916i | ||||
\(334\) | −555058. | − | 55805.5i | −0.272253 | − | 0.0273723i | ||||
\(335\) | −2.10343e6 | −1.02404 | ||||||||
\(336\) | 1.46043e6 | − | 180227.i | 0.705720 | − | 0.0870906i | ||||
\(337\) | 3.35960e6 | + | 1.93967e6i | 1.61144 | + | 0.930363i | 0.989038 | + | 0.147663i | \(0.0471751\pi\) |
0.622399 | + | 0.782700i | \(0.286158\pi\) | |||||||
\(338\) | −25009.2 | − | 55495.6i | −0.0119072 | − | 0.0264221i | ||||
\(339\) | 669350. | + | 386449.i | 0.316340 | + | 0.182639i | ||||
\(340\) | 1.92079e6 | − | 2.17240e6i | 0.901119 | − | 1.01916i | ||||
\(341\) | 852032.i | 0.396799i | ||||||||
\(342\) | −363297. | − | 2.08368e6i | −0.167956 | − | 0.963310i | ||||
\(343\) | − | 1.92171e6i | − | 0.881970i | ||||||
\(344\) | 1.39144e6 | + | 1.50386e6i | 0.633968 | + | 0.685191i | ||||
\(345\) | −3.56220e6 | − | 2.05664e6i | −1.61128 | − | 0.930273i | ||||
\(346\) | 614030. | − | 276713.i | 0.275740 | − | 0.124262i | ||||
\(347\) | −2.34059e6 | − | 1.35134e6i | −1.04352 | − | 0.602478i | −0.122693 | − | 0.992445i | \(-0.539153\pi\) |
−0.920829 | + | 0.389967i | \(0.872486\pi\) | |||||||
\(348\) | −2.14907e6 | + | 719800.i | −0.951265 | + | 0.318613i | ||||
\(349\) | 765545. | 0.336440 | 0.168220 | − | 0.985749i | \(-0.446198\pi\) | ||||
0.168220 | + | 0.985749i | \(0.446198\pi\) | |||||||
\(350\) | 37514.5 | − | 373131.i | 0.0163693 | − | 0.162814i | ||||
\(351\) | −61380.4 | + | 35438.0i | −0.0265927 | + | 0.0153533i | ||||
\(352\) | −1.19144e6 | + | 26910.4i | −0.512525 | + | 0.0115761i | ||||
\(353\) | 2.45053e6 | 1.04670 | 0.523351 | − | 0.852117i | \(-0.324682\pi\) | ||||
0.523351 | + | 0.852117i | \(0.324682\pi\) | |||||||
\(354\) | 300882. | + | 30250.6i | 0.127611 | + | 0.0128300i | ||||
\(355\) | −2.15986e6 | − | 3.74098e6i | −0.909607 | − | 1.57549i | ||||
\(356\) | −143453. | − | 126838.i | −0.0599910 | − | 0.0530428i | ||||
\(357\) | 1.75347e6 | − | 1.01237e6i | 0.728163 | − | 0.420405i | ||||
\(358\) | 1.77852e6 | − | 2.47132e6i | 0.733418 | − | 1.01911i | ||||
\(359\) | −398447. | − | 230043.i | −0.163168 | − | 0.0942049i | 0.416193 | − | 0.909276i | \(-0.363364\pi\) |
−0.579360 | + | 0.815072i | \(0.696698\pi\) | |||||||
\(360\) | −2.64231e6 | − | 819128.i | −1.07455 | − | 0.333116i | ||||
\(361\) | −2.11655e6 | + | 1.28502e6i | −0.854794 | + | 0.518968i | ||||
\(362\) | 114142. | − | 1.13529e6i | 0.0457799 | − | 0.455340i | ||||
\(363\) | 1.30139e6 | − | 2.25408e6i | 0.518372 | − | 0.897847i | ||||
\(364\) | 834258. | − | 943539.i | 0.330025 | − | 0.373256i | ||||
\(365\) | −2.37074e6 | − | 4.10624e6i | −0.931433 | − | 1.61329i | ||||
\(366\) | −2.21974e6 | + | 3.08441e6i | −0.866163 | + | 1.20357i | ||||
\(367\) | −2.15606e6 | + | 1.24480e6i | −0.835595 | + | 0.482431i | −0.855765 | − | 0.517365i | \(-0.826913\pi\) |
0.0201692 | + | 0.999797i | \(0.493580\pi\) | |||||||
\(368\) | −1.16555e6 | + | 2.75054e6i | −0.448653 | + | 1.05876i | ||||
\(369\) | 4.11722e6i | 1.57412i | ||||||||
\(370\) | 1.00512e6 | − | 452958.i | 0.381692 | − | 0.172010i | ||||
\(371\) | 772122. | + | 1.33735e6i | 0.291240 | + | 0.504442i | ||||
\(372\) | 2.84720e6 | + | 578360.i | 1.06674 | + | 0.216691i | ||||
\(373\) | 1.47892e6i | 0.550391i | 0.961388 | + | 0.275195i | \(0.0887425\pi\) | ||||
−0.961388 | + | 0.275195i | \(0.911257\pi\) | |||||||
\(374\) | −1.49500e6 | + | 673722.i | −0.552664 | + | 0.249059i | ||||
\(375\) | 1.49008e6 | − | 2.58089e6i | 0.547181 | − | 0.947745i | ||||
\(376\) | −308883. | + | 70042.3i | −0.112674 | + | 0.0255500i | ||||
\(377\) | −969909. | + | 1.67993e6i | −0.351461 | + | 0.608749i | ||||
\(378\) | 35525.6 | + | 25566.5i | 0.0127883 | + | 0.00920328i | ||||
\(379\) | −354344. | −0.126715 | −0.0633574 | − | 0.997991i | \(-0.520181\pi\) | ||||
−0.0633574 | + | 0.997991i | \(0.520181\pi\) | |||||||
\(380\) | 234310. | + | 3.23001e6i | 0.0832401 | + | 1.14748i | ||||
\(381\) | 1.11140e6 | 0.392244 | ||||||||
\(382\) | −1.45713e6 | − | 1.04865e6i | −0.510905 | − | 0.367680i | ||||
\(383\) | 1.87581e6 | − | 3.24901e6i | 0.653421 | − | 1.13176i | −0.328866 | − | 0.944377i | \(-0.606667\pi\) |
0.982287 | − | 0.187382i | \(-0.0600002\pi\) | |||||||
\(384\) | −718824. | + | 3.99964e6i | −0.248768 | + | 1.38418i | ||||
\(385\) | −433661. | + | 751123.i | −0.149107 | + | 0.258261i | ||||
\(386\) | 1.92612e6 | − | 868011.i | 0.657985 | − | 0.296522i | ||||
\(387\) | − | 2.68940e6i | − | 0.912805i | ||||||
\(388\) | −397261. | + | 1.95567e6i | −0.133967 | + | 0.659502i | ||||
\(389\) | −2.22346e6 | − | 3.85115e6i | −0.744999 | − | 1.29038i | −0.950195 | − | 0.311655i | \(-0.899117\pi\) |
0.205197 | − | 0.978721i | \(-0.434217\pi\) | |||||||
\(390\) | −4.36623e6 | + | 1.96765e6i | −1.45360 | + | 0.655068i | ||||
\(391\) | 4.11042e6i | 1.35970i | ||||||||
\(392\) | 2.16306e6 | + | 670560.i | 0.710975 | + | 0.220405i | ||||
\(393\) | −4.06296e6 | + | 2.34575e6i | −1.32697 | + | 0.766127i | ||||
\(394\) | −3.59783e6 | + | 4.99932e6i | −1.16762 | + | 1.62245i | ||||
\(395\) | −297790. | − | 515788.i | −0.0960324 | − | 0.166333i | ||||
\(396\) | 1.17194e6 | + | 1.03621e6i | 0.375551 | + | 0.332054i | ||||
\(397\) | −1.99915e6 | + | 3.46263e6i | −0.636603 | + | 1.10263i | 0.349570 | + | 0.936910i | \(0.386328\pi\) |
−0.986173 | + | 0.165718i | \(0.947006\pi\) | |||||||
\(398\) | 278675. | − | 2.77179e6i | 0.0881843 | − | 0.877107i | ||||
\(399\) | −561143. | + | 2.19051e6i | −0.176458 | + | 0.688831i | ||||
\(400\) | 953553. | + | 404070.i | 0.297985 | + | 0.126272i | ||||
\(401\) | −2.33585e6 | − | 1.34860e6i | −0.725411 | − | 0.418816i | 0.0913297 | − | 0.995821i | \(-0.470888\pi\) |
−0.816741 | + | 0.577004i | \(0.804222\pi\) | |||||||
\(402\) | 2.36919e6 | − | 3.29207e6i | 0.731196 | − | 1.01602i | ||||
\(403\) | 2.15353e6 | − | 1.24334e6i | 0.660524 | − | 0.381354i | ||||
\(404\) | 201033. | − | 227367.i | 0.0612794 | − | 0.0693065i | ||||
\(405\) | −1.94000e6 | − | 3.36017e6i | −0.587710 | − | 1.01794i | ||||
\(406\) | 1.19191e6 | + | 119835.i | 0.358863 | + | 0.0360801i | ||||
\(407\) | −623432. | −0.186553 | ||||||||
\(408\) | 1.23654e6 | + | 5.45308e6i | 0.367754 | + | 1.62178i | ||||
\(409\) | −5.45592e6 | + | 3.14998e6i | −1.61272 | + | 0.931106i | −0.623987 | + | 0.781435i | \(0.714488\pi\) |
−0.988736 | + | 0.149671i | \(0.952178\pi\) | |||||||
\(410\) | 630620. | − | 6.27233e6i | 0.185271 | − | 1.84276i | ||||
\(411\) | −6.81295e6 | −1.98944 | ||||||||
\(412\) | −1.89514e6 | − | 5.65820e6i | −0.550044 | − | 1.64224i | ||||
\(413\) | −138420. | − | 79917.0i | −0.0399324 | − | 0.0230550i | ||||
\(414\) | 3.57504e6 | − | 1.61110e6i | 1.02513 | − | 0.461978i | ||||
\(415\) | 5.88110e6 | + | 3.39546e6i | 1.67625 | + | 0.967783i | ||||
\(416\) | 1.80664e6 | + | 2.97212e6i | 0.511846 | + | 0.842041i | ||||
\(417\) | − | 9.22729e6i | − | 2.59857i | ||||||
\(418\) | 629646. | − | 1.71968e6i | 0.176261 | − | 0.481402i | ||||
\(419\) | 4.42905e6i | 1.23247i | 0.787563 | + | 0.616234i | \(0.211343\pi\) | ||||
−0.787563 | + | 0.616234i | \(0.788657\pi\) | |||||||
\(420\) | 2.21562e6 | + | 1.95901e6i | 0.612876 | + | 0.541892i | ||||
\(421\) | 3.67936e6 | + | 2.12428e6i | 1.01174 | + | 0.584126i | 0.911699 | − | 0.410858i | \(-0.134771\pi\) |
0.100036 | + | 0.994984i | \(0.468104\pi\) | |||||||
\(422\) | 1.00172e6 | + | 2.22282e6i | 0.273819 | + | 0.607608i | ||||
\(423\) | 360050. | + | 207875.i | 0.0978389 | + | 0.0564873i | ||||
\(424\) | −4.15900e6 | + | 943095.i | −1.12350 | + | 0.254766i | ||||
\(425\) | 1.42499e6 | 0.382683 | ||||||||
\(426\) | 8.28773e6 | + | 833248.i | 2.21264 | + | 0.222459i | ||||
\(427\) | 1.73947e6 | − | 1.00428e6i | 0.461687 | − | 0.266555i | ||||
\(428\) | −1.06497e6 | − | 3.17964e6i | −0.281015 | − | 0.839011i | ||||
\(429\) | 2.70819e6 | 0.710453 | ||||||||
\(430\) | −411926. | + | 4.09714e6i | −0.107436 | + | 1.06859i | ||||
\(431\) | 3.27659e6 | + | 5.67521e6i | 0.849627 | + | 1.47160i | 0.881541 | + | 0.472107i | \(0.156506\pi\) |
−0.0319141 | + | 0.999491i | \(0.510160\pi\) | |||||||
\(432\) | −96488.4 | + | 72801.9i | −0.0248751 | + | 0.0187687i | ||||
\(433\) | 2.76932e6 | − | 1.59887e6i | 0.709827 | − | 0.409819i | −0.101170 | − | 0.994869i | \(-0.532259\pi\) |
0.810997 | + | 0.585050i | \(0.198925\pi\) | |||||||
\(434\) | −1.24642e6 | − | 897002.i | −0.317643 | − | 0.228596i | ||||
\(435\) | −3.94482e6 | − | 2.27755e6i | −0.999550 | − | 0.577090i | ||||
\(436\) | 1.48559e6 | − | 7.31338e6i | 0.374268 | − | 1.84248i | ||||
\(437\) | −3.28158e6 | − | 3.21003e6i | −0.822015 | − | 0.804091i | ||||
\(438\) | 9.09692e6 | + | 914604.i | 2.26574 | + | 0.227797i | ||||
\(439\) | −2.57344e6 | + | 4.45733e6i | −0.637314 | + | 1.10386i | 0.348706 | + | 0.937232i | \(0.386621\pi\) |
−0.986020 | + | 0.166627i | \(0.946712\pi\) | |||||||
\(440\) | −1.62667e6 | − | 1.75810e6i | −0.400561 | − | 0.432925i | ||||
\(441\) | −1.48633e6 | − | 2.57440e6i | −0.363931 | − | 0.630347i | ||||
\(442\) | 3.88445e6 | + | 2.79550e6i | 0.945744 | + | 0.680618i | ||||
\(443\) | −1.88165e6 | + | 1.08637e6i | −0.455544 | + | 0.263008i | −0.710169 | − | 0.704032i | \(-0.751381\pi\) |
0.254625 | + | 0.967040i | \(0.418048\pi\) | |||||||
\(444\) | −423186. | + | 2.08329e6i | −0.101876 | + | 0.501525i | ||||
\(445\) | − | 384854.i | − | 0.0921290i | ||||||
\(446\) | 105199. | + | 233438.i | 0.0250424 | + | 0.0555693i | ||||
\(447\) | 3.79004e6 | + | 6.56454e6i | 0.897170 | + | 1.55394i | ||||
\(448\) | 1.21496e6 | − | 1.77126e6i | 0.286000 | − | 0.416953i | ||||
\(449\) | − | 5.22761e6i | − | 1.22373i | −0.790961 | − | 0.611867i | \(-0.790419\pi\) | ||
0.790961 | − | 0.611867i | \(-0.209581\pi\) | |||||||
\(450\) | −558533. | − | 1.23939e6i | −0.130022 | − | 0.288520i | ||||
\(451\) | −1.78241e6 | + | 3.08722e6i | −0.412634 | + | 0.714703i | ||||
\(452\) | 1.06976e6 | − | 358301.i | 0.246286 | − | 0.0824900i | ||||
\(453\) | −729410. | + | 1.26338e6i | −0.167004 | + | 0.289259i | ||||
\(454\) | 982279. | − | 1.36491e6i | 0.223664 | − | 0.310789i | ||||
\(455\) | 2.53131e6 | 0.573214 | ||||||||
\(456\) | −5.31918e6 | − | 3.27138e6i | −1.19793 | − | 0.736748i | ||||
\(457\) | 7.09307e6 | 1.58871 | 0.794353 | − | 0.607456i | \(-0.207810\pi\) | ||||
0.794353 | + | 0.607456i | \(0.207810\pi\) | |||||||
\(458\) | −3.42676e6 | + | 4.76161e6i | −0.763343 | + | 1.06069i | ||||
\(459\) | −83157.8 | + | 144034.i | −0.0184235 | + | 0.0319104i | ||||
\(460\) | −5.69313e6 | + | 1.90683e6i | −1.25446 | + | 0.420164i | ||||
\(461\) | −2.14243e6 | + | 3.71079e6i | −0.469520 | + | 0.813232i | −0.999393 | − | 0.0348450i | \(-0.988906\pi\) |
0.529873 | + | 0.848077i | \(0.322240\pi\) | |||||||
\(462\) | −687128. | − | 1.52474e6i | −0.149773 | − | 0.332347i | ||||
\(463\) | − | 5.21616e6i | − | 1.13083i | −0.824806 | − | 0.565416i | \(-0.808716\pi\) | ||
0.824806 | − | 0.565416i | \(-0.191284\pi\) | |||||||
\(464\) | −1.29074e6 | + | 3.04598e6i | −0.278320 | + | 0.656799i | ||||
\(465\) | 2.91962e6 | + | 5.05694e6i | 0.626173 | + | 1.08456i | ||||
\(466\) | 697133. | + | 1.54694e6i | 0.148714 | + | 0.329997i | ||||
\(467\) | − | 5.89041e6i | − | 1.24984i | −0.780690 | − | 0.624918i | \(-0.785132\pi\) | ||
0.780690 | − | 0.624918i | \(-0.214868\pi\) | |||||||
\(468\) | 908862. | − | 4.47422e6i | 0.191815 | − | 0.944284i | ||||
\(469\) | −1.85658e6 | + | 1.07190e6i | −0.389746 | + | 0.225020i | ||||
\(470\) | −516674. | − | 371832.i | −0.107888 | − | 0.0776430i | ||||
\(471\) | 1.56392e6 | + | 2.70879e6i | 0.324835 | + | 0.562631i | ||||
\(472\) | 323991. | − | 299770.i | 0.0669388 | − | 0.0619346i | ||||
\(473\) | 1.16428e6 | − | 2.01659e6i | 0.239279 | − | 0.414444i | ||||
\(474\) | 1.14267e6 | + | 114884.i | 0.233601 | + | 0.0234863i | ||||
\(475\) | −1.11285e6 | + | 1.13765e6i | −0.226309 | + | 0.231353i | ||||
\(476\) | 588329. | − | 2.89627e6i | 0.119015 | − | 0.585898i | ||||
\(477\) | 4.84794e6 | + | 2.79896e6i | 0.975577 | + | 0.563250i | ||||
\(478\) | 4.10829e6 | + | 2.95659e6i | 0.822417 | + | 0.591864i | ||||
\(479\) | 1.27446e6 | − | 735807.i | 0.253797 | − | 0.146530i | −0.367705 | − | 0.929943i | \(-0.619856\pi\) |
0.621501 | + | 0.783413i | \(0.286523\pi\) | |||||||
\(480\) | −6.97915e6 | + | 4.24237e6i | −1.38261 | + | 0.840437i | ||||
\(481\) | 909753. | + | 1.57574e6i | 0.179292 | + | 0.310543i | ||||
\(482\) | 909379. | − | 9.04495e6i | 0.178290 | − | 1.77333i | ||||
\(483\) | −4.19221e6 | −0.817664 | ||||||||
\(484\) | −1.20660e6 | − | 3.60248e6i | −0.234126 | − | 0.699017i | ||||
\(485\) | −3.47349e6 | + | 2.00542e6i | −0.670519 | + | 0.387124i | ||||
\(486\) | 7.28265e6 | + | 732197.i | 1.39862 | + | 0.140617i | ||||
\(487\) | −920824. | −0.175936 | −0.0879679 | − | 0.996123i | \(-0.528037\pi\) | ||||
−0.0879679 | + | 0.996123i | \(0.528037\pi\) | |||||||
\(488\) | 1.22666e6 | + | 5.40953e6i | 0.233172 | + | 1.02828i | ||||
\(489\) | −7.96772e6 | − | 4.60017e6i | −1.50682 | − | 0.869964i | ||||
\(490\) | 1.87002e6 | + | 4.14960e6i | 0.351849 | + | 0.780757i | ||||
\(491\) | −4.84978e6 | − | 2.80002e6i | −0.907860 | − | 0.524153i | −0.0281177 | − | 0.999605i | \(-0.508951\pi\) |
−0.879742 | + | 0.475452i | \(0.842285\pi\) | |||||||
\(492\) | 9.10651e6 | + | 8.05178e6i | 1.69605 | + | 1.49961i | ||||
\(493\) | 4.55192e6i | 0.843485i | ||||||||
\(494\) | −5.26536e6 | + | 918034.i | −0.970758 | + | 0.169255i | ||||
\(495\) | 3.14407e6i | 0.576738i | ||||||||
\(496\) | 3.38530e6 | − | 2.55426e6i | 0.617863 | − | 0.466187i | ||||
\(497\) | −3.81277e6 | − | 2.20130e6i | −0.692388 | − | 0.399750i | ||||
\(498\) | −1.19384e7 | + | 5.38004e6i | −2.15710 | + | 0.972102i | ||||
\(499\) | 1.57602e6 | + | 909918.i | 0.283342 | + | 0.163588i | 0.634936 | − | 0.772565i | \(-0.281027\pi\) |
−0.351593 | + | 0.936153i | \(0.614360\pi\) | |||||||
\(500\) | −1.38154e6 | − | 4.12479e6i | −0.247138 | − | 0.737865i | ||||
\(501\) | 2.16195e6 | 0.384815 | ||||||||
\(502\) | 985425. | − | 9.80133e6i | 0.174528 | − | 1.73590i | ||||
\(503\) | 6.95750e6 | − | 4.01691e6i | 1.22612 | − | 0.707901i | 0.259905 | − | 0.965634i | \(-0.416309\pi\) |
0.966216 | + | 0.257733i | \(0.0829755\pi\) | |||||||
\(504\) | −2.74964e6 | + | 623509.i | −0.482169 | + | 0.109337i | ||||
\(505\) | 609976. | 0.106435 | ||||||||
\(506\) | 3.37815e6 | + | 339639.i | 0.586546 | + | 0.0589713i | ||||
\(507\) | 117951. | + | 204297.i | 0.0203789 | + | 0.0352973i | ||||
\(508\) | 1.07457e6 | − | 1.21533e6i | 0.184746 | − | 0.208946i | ||||
\(509\) | −7.68352e6 | + | 4.43608e6i | −1.31452 | + | 0.758936i | −0.982840 | − | 0.184458i | \(-0.940947\pi\) |
−0.331675 | + | 0.943394i | \(0.607614\pi\) | |||||||
\(510\) | −6.56440e6 | + | 9.12148e6i | −1.11756 | + | 1.55289i | ||||
\(511\) | −4.18503e6 | − | 2.41623e6i | −0.709001 | − | 0.409342i | ||||
\(512\) | 3.67866e6 | + | 4.65315e6i | 0.620176 | + | 0.784463i | ||||
\(513\) | −50048.2 | − | 178873.i | −0.00839644 | − | 0.0300089i | ||||
\(514\) | −102057. | + | 1.01509e6i | −0.0170386 | + | 0.169471i | ||||
\(515\) | 5.99647e6 | − | 1.03862e7i | 0.996271 | − | 1.72559i | ||||
\(516\) | −5.94844e6 | − | 5.25949e6i | −0.983510 | − | 0.869599i | ||||
\(517\) | 179984. | + | 311742.i | 0.0296147 | + | 0.0512942i | ||||
\(518\) | 656336. | − | 912003.i | 0.107474 | − | 0.149339i | ||||
\(519\) | −2.26044e6 | + | 1.30506e6i | −0.368361 | + | 0.212673i | ||||
\(520\) | −2.06990e6 | + | 6.67699e6i | −0.335691 | + | 1.08286i | ||||
\(521\) | − | 292744.i | − | 0.0472491i | −0.999721 | − | 0.0236246i | \(-0.992479\pi\) | ||
0.999721 | − | 0.0236246i | \(-0.00752063\pi\) | |||||||
\(522\) | 3.95905e6 | − | 1.78415e6i | 0.635937 | − | 0.286586i | ||||
\(523\) | 2.99643e6 | + | 5.18997e6i | 0.479016 | + | 0.829680i | 0.999710 | − | 0.0240629i | \(-0.00766021\pi\) |
−0.520694 | + | 0.853743i | \(0.674327\pi\) | |||||||
\(524\) | −1.36321e6 | + | 6.71093e6i | −0.216888 | + | 1.06771i | ||||
\(525\) | 1.45335e6i | 0.230129i | ||||||||
\(526\) | −2.71970e6 | + | 1.22564e6i | −0.428605 | + | 0.193151i | ||||
\(527\) | 2.91759e6 | − | 5.05342e6i | 0.457613 | − | 0.792608i | ||||
\(528\) | 4.58379e6 | − | 565670.i | 0.715549 | − | 0.0883036i | ||||
\(529\) | 1.03712e6 | − | 1.79635e6i | 0.161135 | − | 0.279095i | ||||
\(530\) | −6.95684e6 | − | 5.00659e6i | −1.07578 | − | 0.774199i | ||||
\(531\) | −579403. | −0.0891753 | ||||||||
\(532\) | 1.85281e6 | + | 2.73154e6i | 0.283825 | + | 0.418436i | ||||
\(533\) | 1.04040e7 | 1.58629 | ||||||||
\(534\) | 602333. | + | 433478.i | 0.0914079 | + | 0.0657830i | ||||
\(535\) | 3.36973e6 | − | 5.83654e6i | 0.508991 | − | 0.881598i | ||||
\(536\) | −1.30925e6 | − | 5.77372e6i | −0.196839 | − | 0.868048i | ||||
\(537\) | −5.89994e6 | + | 1.02190e7i | −0.882900 | + | 1.52923i | ||||
\(538\) | −1.64091e6 | + | 739479.i | −0.244416 | + | 0.110146i | ||||
\(539\) | − | 2.57382e6i | − | 0.381598i | ||||||
\(540\) | −238071. | − | 48360.1i | −0.0351335 | − | 0.00713678i | ||||
\(541\) | 2.94826e6 | + | 5.10654e6i | 0.433085 | + | 0.750125i | 0.997137 | − | 0.0756144i | \(-0.0240918\pi\) |
−0.564053 | + | 0.825739i | \(0.690758\pi\) | |||||||
\(542\) | −4.72212e6 | + | 2.12803e6i | −0.690460 | + | 0.311157i | ||||
\(543\) | 4.42197e6i | 0.643600i | ||||||||
\(544\) | 7.15859e6 | + | 3.92021e6i | 1.03712 | + | 0.567952i | ||||
\(545\) | 1.29894e7 | − | 7.49942e6i | 1.87326 | − | 1.08152i | ||||
\(546\) | −2.85112e6 | + | 3.96174e6i | −0.409293 | + | 0.568728i | ||||
\(547\) | −4.66630e6 | − | 8.08227e6i | −0.666814 | − | 1.15495i | −0.978790 | − | 0.204865i | \(-0.934324\pi\) |
0.311977 | − | 0.950090i | \(-0.399009\pi\) | |||||||
\(548\) | −6.58719e6 | + | 7.45007e6i | −0.937020 | + | 1.05976i | ||||
\(549\) | 3.64056e6 | − | 6.30563e6i | 0.515510 | − | 0.892889i | ||||
\(550\) | 117745. | − | 1.17113e6i | 0.0165973 | − | 0.165081i | ||||
\(551\) | −3.63406e6 | − | 3.55482e6i | −0.509933 | − | 0.498814i | ||||
\(552\) | 3.42804e6 | − | 1.10580e7i | 0.478849 | − | 1.54465i | ||||
\(553\) | −525685. | − | 303504.i | −0.0730992 | − | 0.0422039i | ||||
\(554\) | −5.69874e6 | + | 7.91861e6i | −0.788868 | + | 1.09616i | ||||
\(555\) | −3.70016e6 | + | 2.13629e6i | −0.509903 | + | 0.294393i | ||||
\(556\) | −1.00902e7 | − | 8.92153e6i | −1.38424 | − | 1.22392i | ||||
\(557\) | −3.88994e6 | − | 6.73757e6i | −0.531257 | − | 0.920164i | −0.999334 | − | 0.0364769i | \(-0.988386\pi\) |
0.468077 | − | 0.883688i | \(-0.344947\pi\) | |||||||
\(558\) | −5.53879e6 | − | 556870.i | −0.753060 | − | 0.0757126i | ||||
\(559\) | −6.79599e6 | −0.919863 | ||||||||
\(560\) | 4.28441e6 | − | 528725.i | 0.577326 | − | 0.0712459i | ||||
\(561\) | 5.50355e6 | − | 3.17748e6i | 0.738305 | − | 0.426261i | ||||
\(562\) | −38510.8 | + | 383040.i | −0.00514331 | + | 0.0511568i | ||||
\(563\) | −2.81451e6 | −0.374225 | −0.187112 | − | 0.982339i | \(-0.559913\pi\) | ||||
−0.187112 | + | 0.982339i | \(0.559913\pi\) | |||||||
\(564\) | 1.16391e6 | − | 389834.i | 0.154071 | − | 0.0516038i | ||||
\(565\) | 1.96365e6 | + | 1.13371e6i | 0.258787 | + | 0.149411i | ||||
\(566\) | −3.76960e6 | + | 1.69877e6i | −0.494600 | + | 0.222892i | ||||
\(567\) | −3.42465e6 | − | 1.97722e6i | −0.447362 | − | 0.258284i | ||||
\(568\) | 8.92427e6 | − | 8.25712e6i | 1.16065 | − | 1.07389i | ||||
\(569\) | − | 6.86177e6i | − | 0.888496i | −0.895904 | − | 0.444248i | \(-0.853471\pi\) | ||
0.895904 | − | 0.444248i | \(-0.146529\pi\) | |||||||
\(570\) | −2.15573e6 | − | 1.23642e7i | −0.277912 | − | 1.59396i | ||||
\(571\) | 2.97628e6i | 0.382018i | 0.981588 | + | 0.191009i | \(0.0611759\pi\) | ||||
−0.981588 | + | 0.191009i | \(0.938824\pi\) | |||||||
\(572\) | 2.61845e6 | − | 2.96144e6i | 0.334621 | − | 0.378454i | ||||
\(573\) | 6.02528e6 | + | 3.47870e6i | 0.766638 | + | 0.442619i | ||||
\(574\) | −2.63973e6 | − | 5.85760e6i | −0.334411 | − | 0.742061i | ||||
\(575\) | −2.55515e6 | − | 1.47522e6i | −0.322290 | − | 0.186074i | ||||
\(576\) | 603762. | − | 7.76275e6i | 0.0758245 | − | 0.974898i | ||||
\(577\) | −9.78347e6 | −1.22336 | −0.611679 | − | 0.791106i | \(-0.709506\pi\) | ||||
−0.611679 | + | 0.791106i | \(0.709506\pi\) | |||||||
\(578\) | 3.18222e6 | + | 319940.i | 0.396196 | + | 0.0398335i | ||||
\(579\) | −7.09067e6 | + | 4.09380e6i | −0.879005 | + | 0.507493i | ||||
\(580\) | −6.30464e6 | + | 2.11165e6i | −0.778198 | + | 0.260647i | ||||
\(581\) | 6.92123e6 | 0.850634 | ||||||||
\(582\) | 773668. | − | 7.69513e6i | 0.0946775 | − | 0.941691i | ||||
\(583\) | 2.42342e6 | + | 4.19749e6i | 0.295296 | + | 0.511468i | ||||
\(584\) | 9.79561e6 | − | 9.06332e6i | 1.18850 | − | 1.09965i | ||||
\(585\) | 7.94671e6 | − | 4.58803e6i | 0.960058 | − | 0.554290i | ||||
\(586\) | −8.85984e6 | − | 6.37611e6i | −1.06582 | − | 0.767029i | ||||
\(587\) | 8.93126e6 | + | 5.15646e6i | 1.06984 | + | 0.617670i | 0.928137 | − | 0.372239i | \(-0.121410\pi\) |
0.141700 | + | 0.989910i | \(0.454743\pi\) | |||||||
\(588\) | −8.60080e6 | − | 1.74711e6i | −1.02588 | − | 0.208390i | ||||
\(589\) | 1.75594e6 | + | 6.27575e6i | 0.208556 | + | 0.745379i | ||||
\(590\) | 882685. | + | 88745.1i | 0.104394 | + | 0.0104958i | ||||
\(591\) | 1.19352e7 | − | 2.06723e7i | 1.40560 | − | 2.43456i | ||||
\(592\) | 1.86895e6 | + | 2.47702e6i | 0.219176 | + | 0.290486i | ||||
\(593\) | 3.74905e6 | + | 6.49354e6i | 0.437809 | + | 0.758307i | 0.997520 | − | 0.0703807i | \(-0.0224214\pi\) |
−0.559712 | + | 0.828687i | \(0.689088\pi\) | |||||||
\(594\) | 111503. | + | 80244.6i | 0.0129664 | + | 0.00933146i | ||||
\(595\) | 5.14410e6 | − | 2.96995e6i | 0.595686 | − | 0.343919i | ||||
\(596\) | 1.08429e7 | + | 2.20255e6i | 1.25034 | + | 0.253986i | ||||
\(597\) | 1.07961e7i | 1.23974i | ||||||||
\(598\) | −4.07117e6 | − | 9.03397e6i | −0.465550 | − | 1.03306i | ||||
\(599\) | 4.16780e6 | + | 7.21885e6i | 0.474613 | + | 0.822055i | 0.999577 | − | 0.0290698i | \(-0.00925452\pi\) |
−0.524964 | + | 0.851124i | \(0.675921\pi\) | |||||||
\(600\) | −3.83358e6 | − | 1.18843e6i | −0.434737 | − | 0.134770i | ||||
\(601\) | 1.61124e7i | 1.81960i | 0.415050 | + | 0.909799i | \(0.363764\pi\) | ||||
−0.415050 | + | 0.909799i | \(0.636236\pi\) | |||||||
\(602\) | 1.72429e6 | + | 3.82623e6i | 0.193919 | + | 0.430308i | ||||
\(603\) | −3.88565e6 | + | 6.73015e6i | −0.435182 | + | 0.753757i | ||||
\(604\) | 676280. | + | 2.01913e6i | 0.0754283 | + | 0.225202i | ||||
\(605\) | 3.81785e6 | − | 6.61271e6i | 0.424063 | − | 0.734498i | ||||
\(606\) | −687043. | + | 954671.i | −0.0759980 | + | 0.105602i | ||||
\(607\) | 9.86326e6 | 1.08655 | 0.543274 | − | 0.839555i | \(-0.317184\pi\) | ||||
0.543274 | + | 0.839555i | \(0.317184\pi\) | |||||||
\(608\) | −8.72023e6 | + | 2.65363e6i | −0.956685 | + | 0.291126i | ||||
\(609\) | −4.64250e6 | −0.507234 | ||||||||
\(610\) | −6.51197e6 | + | 9.04863e6i | −0.708579 | + | 0.984596i | ||||
\(611\) | 525290. | − | 909829.i | 0.0569241 | − | 0.0985954i | ||||
\(612\) | −3.40255e6 | − | 1.01588e7i | −0.367220 | − | 1.09639i | ||||
\(613\) | −4.87685e6 | + | 8.44695e6i | −0.524189 | + | 0.907922i | 0.475414 | + | 0.879762i | \(0.342298\pi\) |
−0.999603 | + | 0.0281604i | \(0.991035\pi\) | |||||||
\(614\) | −1.20287e6 | − | 2.66917e6i | −0.128765 | − | 0.285730i | ||||
\(615\) | 2.44308e7i | 2.60465i | ||||||||
\(616\) | −2.33169e6 | − | 722834.i | −0.247582 | − | 0.0767515i | ||||
\(617\) | −161406. | − | 279563.i | −0.0170689 | − | 0.0295643i | 0.857365 | − | 0.514709i | \(-0.172100\pi\) |
−0.874434 | + | 0.485145i | \(0.838767\pi\) | |||||||
\(618\) | 9.50129e6 | + | 2.10835e7i | 1.00072 | + | 2.22060i | ||||
\(619\) | − | 6.05876e6i | − | 0.635561i | −0.948164 | − | 0.317781i | \(-0.897062\pi\) | ||
0.948164 | − | 0.317781i | \(-0.102938\pi\) | |||||||
\(620\) | 8.35271e6 | + | 1.69671e6i | 0.872667 | + | 0.177268i | ||||
\(621\) | 298220. | − | 172178.i | 0.0310319 | − | 0.0179163i | ||||
\(622\) | −256241. | − | 184408.i | −0.0265566 | − | 0.0191119i | ||||
\(623\) | −196120. | − | 339689.i | −0.0202442 | − | 0.0350640i | ||||
\(624\) | −8.11871e6 | − | 1.07602e7i | −0.834691 | − | 1.10626i | ||||
\(625\) | 5.95164e6 | − | 1.03085e7i | 0.609448 | − | 1.05559i | ||||
\(626\) | −5.16954e6 | − | 519745.i | −0.527249 | − | 0.0530096i | ||||
\(627\) | −1.76123e6 | + | 6.87525e6i | −0.178916 | + | 0.698425i | ||||
\(628\) | 4.47420e6 | + | 908859.i | 0.452706 | + | 0.0919597i | ||||
\(629\) | 3.69758e6 | + | 2.13480e6i | 0.372642 | + | 0.215145i | ||||
\(630\) | −4.59938e6 | − | 3.31001e6i | −0.461687 | − | 0.332260i | ||||
\(631\) | −1.43559e6 | + | 828840.i | −0.143535 | + | 0.0828700i | −0.570048 | − | 0.821612i | \(-0.693075\pi\) |
0.426513 | + | 0.904482i | \(0.359742\pi\) | |||||||
\(632\) | 1.23043e6 | − | 1.13845e6i | 0.122537 | − | 0.113376i | ||||
\(633\) | −4.72440e6 | − | 8.18290e6i | −0.468638 | − | 0.811705i | ||||
\(634\) | 1.20024e6 | − | 1.19380e7i | 0.118589 | − | 1.17952i | ||||
\(635\) | 3.26046e6 | 0.320881 | ||||||||
\(636\) | 1.56716e7 | − | 5.24898e6i | 1.53628 | − | 0.514555i | ||||
\(637\) | −6.50539e6 | + | 3.75589e6i | −0.635220 | + | 0.366745i | ||||
\(638\) | 3.74100e6 | + | 376120.i | 0.363861 | + | 0.0365826i | ||||
\(639\) | −1.59596e7 | −1.54621 | ||||||||
\(640\) | −2.10879e6 | + | 1.17336e7i | −0.203509 | + | 1.13235i | ||||
\(641\) | 4.41918e6 | + | 2.55141e6i | 0.424812 | + | 0.245265i | 0.697134 | − | 0.716941i | \(-0.254458\pi\) |
−0.272322 | + | 0.962206i | \(0.587792\pi\) | |||||||
\(642\) | 5.33927e6 | + | 1.18479e7i | 0.511263 | + | 1.13450i | ||||
\(643\) | 5.73274e6 | + | 3.30980e6i | 0.546808 | + | 0.315700i | 0.747834 | − | 0.663886i | \(-0.231094\pi\) |
−0.201025 | + | 0.979586i | \(0.564427\pi\) | |||||||
\(644\) | −4.05329e6 | + | 4.58424e6i | −0.385117 | + | 0.435565i | ||||
\(645\) | − | 1.59584e7i | − | 1.51039i | ||||||
\(646\) | −9.62311e6 | + | 8.04340e6i | −0.907265 | + | 0.758330i | ||||
\(647\) | 1.91492e7i | 1.79842i | 0.437521 | + | 0.899208i | \(0.355857\pi\) | ||||
−0.437521 | + | 0.899208i | \(0.644143\pi\) | |||||||
\(648\) | 8.01584e6 | − | 7.41660e6i | 0.749914 | − | 0.693853i | ||||
\(649\) | −434454. | − | 250832.i | −0.0404885 | − | 0.0233761i | ||||
\(650\) | −3.13188e6 | + | 1.41139e6i | −0.290751 | + | 0.131027i | ||||
\(651\) | 5.15397e6 | + | 2.97565e6i | 0.476639 | + | 0.275188i | ||||
\(652\) | −1.27340e7 | + | 4.26509e6i | −1.17313 | + | 0.392925i | ||||
\(653\) | 380147. | 0.0348874 | 0.0174437 | − | 0.999848i | \(-0.494447\pi\) | ||||
0.0174437 | + | 0.999848i | \(0.494447\pi\) | |||||||
\(654\) | −2.89319e6 | + | 2.87765e7i | −0.264504 | + | 2.63084i | ||||
\(655\) | −1.19194e7 | + | 6.88165e6i | −1.08555 | + | 0.626742i | ||||
\(656\) | 1.76095e7 | − | 2.17313e6i | 1.59767 | − | 0.197163i | ||||
\(657\) | −1.75178e7 | −1.58331 | ||||||||
\(658\) | −645523. | − | 64900.8i | −0.0581229 | − | 0.00584367i | ||||
\(659\) | −1.10015e6 | − | 1.90551e6i | −0.0986817 | − | 0.170922i | 0.812458 | − | 0.583020i | \(-0.198129\pi\) |
−0.911139 | + | 0.412099i | \(0.864796\pi\) | |||||||
\(660\) | 6.95408e6 | + | 6.14865e6i | 0.621412 | + | 0.549440i | ||||
\(661\) | 2.80947e6 | − | 1.62205e6i | 0.250104 | − | 0.144398i | −0.369708 | − | 0.929148i | \(-0.620542\pi\) |
0.619812 | + | 0.784750i | \(0.287209\pi\) | |||||||
\(662\) | 5.80209e6 | − | 8.06221e6i | 0.514564 | − | 0.715005i | ||||
\(663\) | −1.60623e7 | − | 9.27357e6i | −1.41914 | − | 0.819338i | ||||
\(664\) | −5.65961e6 | + | 1.82565e7i | −0.498157 | + | 1.60693i | ||||
\(665\) | −1.64620e6 | + | 6.42622e6i | −0.144354 | + | 0.563509i | ||||
\(666\) | 407461. | − | 4.05273e6i | 0.0355959 | − | 0.354048i | ||||
\(667\) | 4.71236e6 | − | 8.16205e6i | 0.410132 | − | 0.710370i | ||||
\(668\) | 2.09031e6 | − | 2.36413e6i | 0.181247 | − | 0.204989i | ||||
\(669\) | −496152. | − | 859360.i | −0.0428597 | − | 0.0742352i | ||||
\(670\) | 6.95039e6 | − | 9.65782e6i | 0.598167 | − | 0.831175i | ||||
\(671\) | 5.45960e6 | − | 3.15210e6i | 0.468117 | − | 0.270267i | ||||
\(672\) | −3.99821e6 | + | 7.30104e6i | −0.341541 | + | 0.623679i | ||||
\(673\) | − | 5.39337e6i | − | 0.459011i | −0.973307 | − | 0.229505i | \(-0.926289\pi\) | ||
0.973307 | − | 0.229505i | \(-0.0737108\pi\) | |||||||
\(674\) | −2.00071e7 | + | 9.01622e6i | −1.69642 | + | 0.764495i | ||||
\(675\) | −59690.2 | − | 103386.i | −0.00504247 | − | 0.00873382i | ||||
\(676\) | 337444. | + | 68546.1i | 0.0284011 | + | 0.00576921i | ||||
\(677\) | − | 117611.i | − | 0.00986227i | −0.999988 | − | 0.00493113i | \(-0.998430\pi\) | ||
0.999988 | − | 0.00493113i | \(-0.00156964\pi\) | |||||||
\(678\) | −3.98611e6 | + | 1.79635e6i | −0.333023 | + | 0.150077i | ||||
\(679\) | −2.04390e6 | + | 3.54014e6i | −0.170132 | + | 0.294677i | ||||
\(680\) | 3.62759e6 | + | 1.59975e7i | 0.300847 | + | 1.32672i | ||||
\(681\) | −3.25854e6 | + | 5.64395e6i | −0.269250 | + | 0.466354i | ||||
\(682\) | −3.91207e6 | − | 2.81538e6i | −0.322067 | − | 0.231780i | ||||
\(683\) | 1.00063e7 | 0.820774 | 0.410387 | − | 0.911912i | \(-0.365394\pi\) | ||||
0.410387 | + | 0.911912i | \(0.365394\pi\) | |||||||
\(684\) | 1.07676e7 | + | 5.21707e6i | 0.879991 | + | 0.426370i | ||||
\(685\) | −1.99869e7 | −1.62749 | ||||||||
\(686\) | 8.82348e6 | + | 6.34994e6i | 0.715863 | + | 0.515181i | ||||
\(687\) | 1.13677e7 | − | 1.96894e7i | 0.918924 | − | 1.59162i | ||||
\(688\) | −1.15027e7 | + | 1.41950e6i | −0.926461 | + | 0.114331i | ||||
\(689\) | 7.07284e6 | − | 1.22505e7i | 0.567605 | − | 0.983120i | ||||
\(690\) | 2.12136e7 | − | 9.55994e6i | 1.69626 | − | 0.764421i | ||||
\(691\) | 6.97004e6i | 0.555316i | 0.960680 | + | 0.277658i | \(0.0895582\pi\) | ||||
−0.960680 | + | 0.277658i | \(0.910442\pi\) | |||||||
\(692\) | −758426. | + | 3.73364e6i | −0.0602072 | + | 0.296393i | ||||
\(693\) | 1.60220e6 | + | 2.77509e6i | 0.126731 | + | 0.219505i | ||||
\(694\) | 1.39387e7 | − | 6.28148e6i | 1.09856 | − | 0.495066i | ||||
\(695\) | − | 2.70698e7i | − | 2.12580i | ||||||
\(696\) | 3.79625e6 | − | 1.22458e7i | 0.297052 | − | 0.958217i | ||||
\(697\) | 2.11429e7 | − | 1.22069e7i | 1.64848 | − | 0.951750i | ||||
\(698\) | −2.52960e6 | + | 3.51497e6i | −0.196523 | + | 0.273076i | ||||
\(699\) | −3.28789e6 | − | 5.69479e6i | −0.254521 | − | 0.440844i | ||||
\(700\) | 1.58926e6 | + | 1.40519e6i | 0.122588 | + | 0.108390i | ||||
\(701\) | −1.13413e7 | + | 1.96437e7i | −0.871700 | + | 1.50983i | −0.0114635 | + | 0.999934i | \(0.503649\pi\) |
−0.860237 | + | 0.509895i | \(0.829684\pi\) | |||||||
\(702\) | 40107.8 | − | 398924.i | 0.00307175 | − | 0.0305526i | ||||
\(703\) | −4.59196e6 | + | 1.28482e6i | −0.350437 | + | 0.0980515i | ||||
\(704\) | 3.81333e6 | − | 5.55937e6i | 0.289983 | − | 0.422760i | ||||
\(705\) | 2.13646e6 | + | 1.23349e6i | 0.161891 | + | 0.0934678i | ||||
\(706\) | −8.09731e6 | + | 1.12515e7i | −0.611405 | + | 0.849570i | ||||
\(707\) | 538392. | − | 310841.i | 0.0405088 | − | 0.0233878i | ||||
\(708\) | −1.13310e6 | + | 1.28153e6i | −0.0849543 | + | 0.0960827i | ||||
\(709\) | −8.26913e6 | − | 1.43226e7i | −0.617795 | − | 1.07005i | −0.989887 | − | 0.141857i | \(-0.954693\pi\) |
0.372092 | − | 0.928196i | \(-0.378641\pi\) | |||||||
\(710\) | 2.43134e7 | + | 2.44447e6i | 1.81009 | + | 0.181986i | ||||
\(711\) | −2.20042e6 | −0.163242 | ||||||||
\(712\) | 1.05639e6 | − | 239547.i | 0.0780951 | − | 0.0177089i | ||||
\(713\) | −1.04631e7 | + | 6.04086e6i | −0.770789 | + | 0.445015i | ||||
\(714\) | −1.14577e6 | + | 1.13962e7i | −0.0841110 | + | 0.836593i | ||||
\(715\) | 7.94491e6 | 0.581198 | ||||||||
\(716\) | 5.47019e6 | + | 1.63320e7i | 0.398767 | + | 1.19058i | ||||
\(717\) | −1.69879e7 | − | 9.80798e6i | −1.23408 | − | 0.712495i | ||||
\(718\) | 2.37283e6 | − | 1.06932e6i | 0.171773 | − | 0.0774097i | ||||
\(719\) | 5.20529e6 | + | 3.00528e6i | 0.375511 | + | 0.216801i | 0.675863 | − | 0.737027i | \(-0.263771\pi\) |
−0.300352 | + | 0.953828i | \(0.597104\pi\) | |||||||
\(720\) | 1.24920e7 | − | 9.42541e6i | 0.898051 | − | 0.677593i | ||||
\(721\) | − | 1.22231e7i | − | 0.875673i | ||||||
\(722\) | 1.09366e6 | − | 1.39642e7i | 0.0780797 | − | 0.996947i | ||||
\(723\) | 3.52301e7i | 2.50650i | ||||||||
\(724\) | 4.83549e6 | + | 4.27544e6i | 0.342842 | + | 0.303134i | ||||
\(725\) | −2.82960e6 | − | 1.63367e6i | −0.199931 | − | 0.115430i | ||||
\(726\) | 6.04931e6 | + | 1.34235e7i | 0.425955 | + | 0.945199i | ||||
\(727\) | 7.47904e6 | + | 4.31803e6i | 0.524819 | + | 0.303005i | 0.738904 | − | 0.673810i | \(-0.235344\pi\) |
−0.214085 | + | 0.976815i | \(0.568677\pi\) | |||||||
\(728\) | 1.57558e6 | + | 6.94821e6i | 0.110182 | + | 0.485897i | ||||
\(729\) | −1.37061e7 | −0.955205 | ||||||||
\(730\) | 2.66873e7 | + | 2.68314e6i | 1.85352 | + | 0.186353i | ||||
\(731\) | −1.38107e7 | + | 7.97363e6i | −0.955924 | + | 0.551903i | ||||
\(732\) | −6.82724e6 | − | 2.03837e7i | −0.470942 | − | 1.40607i | ||||
\(733\) | −5.04883e6 | −0.347081 | −0.173541 | − | 0.984827i | \(-0.555521\pi\) | ||||
−0.173541 | + | 0.984827i | \(0.555521\pi\) | |||||||
\(734\) | 1.40884e6 | − | 1.40127e7i | 0.0965206 | − | 0.960023i | ||||
\(735\) | −8.81959e6 | − | 1.52760e7i | −0.602185 | − | 1.04302i | ||||
\(736\) | −8.77769e6 | − | 1.44402e7i | −0.597290 | − | 0.982606i | ||||
\(737\) | −5.82716e6 | + | 3.36431e6i | −0.395174 | + | 0.228154i | ||||
\(738\) | −1.89041e7 | − | 1.36046e7i | −1.27766 | − | 0.919484i | ||||
\(739\) | −1.83826e7 | − | 1.06132e7i | −1.23821 | − | 0.714883i | −0.269485 | − | 0.963005i | \(-0.586853\pi\) |
−0.968729 | + | 0.248122i | \(0.920187\pi\) | |||||||
\(740\) | −1.24148e6 | + | 6.11168e6i | −0.0833416 | + | 0.410281i | ||||
\(741\) | 1.99475e7 | − | 5.58126e6i | 1.33457 | − | 0.373411i | ||||
\(742\) | −8.69174e6 | − | 873867.i | −0.579558 | − | 0.0582687i | ||||
\(743\) | 1.39775e6 | − | 2.42097e6i | 0.0928876 | − | 0.160886i | −0.815837 | − | 0.578281i | \(-0.803724\pi\) |
0.908725 | + | 0.417395i | \(0.137057\pi\) | |||||||
\(744\) | −1.20635e7 | + | 1.11617e7i | −0.798992 | + | 0.739262i | ||||
\(745\) | 1.11187e7 | + | 1.92581e7i | 0.733944 | + | 1.27123i | ||||
\(746\) | −6.79038e6 | − | 4.88680e6i | −0.446732 | − | 0.321497i | ||||
\(747\) | 2.17283e7 | − | 1.25448e7i | 1.42470 | − | 0.822551i | ||||
\(748\) | 1.84656e6 | − | 9.09040e6i | 0.120673 | − | 0.594058i | ||||
\(749\) | − | 6.86877e6i | − | 0.447378i | ||||||
\(750\) | 6.92638e6 | + | 1.53697e7i | 0.449628 | + | 0.997729i | ||||
\(751\) | −4.75230e6 | − | 8.23123e6i | −0.307471 | − | 0.532556i | 0.670337 | − | 0.742057i | \(-0.266149\pi\) |
−0.977808 | + | 0.209501i | \(0.932816\pi\) | |||||||
\(752\) | 699048. | − | 1.64966e6i | 0.0450778 | − | 0.106378i | ||||
\(753\) | 3.81762e7i | 2.45361i | ||||||||
\(754\) | −4.50846e6 | − | 1.00043e7i | −0.288802 | − | 0.640854i | ||||
\(755\) | −2.13984e6 | + | 3.70632e6i | −0.136620 | + | 0.236633i | ||||
\(756\) | −234776. | + | 78634.8i | −0.0149399 | + | 0.00500392i | ||||
\(757\) | 8.28948e6 | − | 1.43578e7i | 0.525760 | − | 0.910643i | −0.473790 | − | 0.880638i | \(-0.657114\pi\) |
0.999550 | − | 0.0300048i | \(-0.00955225\pi\) | |||||||
\(758\) | 1.17086e6 | − | 1.62696e6i | 0.0740173 | − | 0.102850i | ||||
\(759\) | −1.31579e7 | −0.829052 | ||||||||
\(760\) | −1.56047e7 | − | 9.59712e6i | −0.979989 | − | 0.602708i | ||||
\(761\) | −1.89444e7 | −1.18582 | −0.592910 | − | 0.805269i | \(-0.702021\pi\) | ||||
−0.592910 | + | 0.805269i | \(0.702021\pi\) | |||||||
\(762\) | −3.67240e6 | + | 5.10293e6i | −0.229120 | + | 0.318370i | ||||
\(763\) | 7.64333e6 | − | 1.32386e7i | 0.475304 | − | 0.823250i | ||||
\(764\) | 9.62963e6 | − | 3.22531e6i | 0.596865 | − | 0.199912i | ||||
\(765\) | 1.07661e7 | − | 1.86475e7i | 0.665130 | − | 1.15204i | ||||
\(766\) | 8.71941e6 | + | 1.93485e7i | 0.536927 | + | 1.19145i | ||||
\(767\) | 1.46412e6i | 0.0898647i | ||||||||
\(768\) | −1.59890e7 | − | 1.65165e7i | −0.978177 | − | 1.01045i | ||||
\(769\) | 2.40953e6 | + | 4.17342e6i | 0.146932 | + | 0.254493i | 0.930092 | − | 0.367327i | \(-0.119727\pi\) |
−0.783160 | + | 0.621820i | \(0.786394\pi\) | |||||||
\(770\) | −2.01580e6 | − | 4.47308e6i | −0.122524 | − | 0.271882i | ||||
\(771\) | − | 3.95376e6i | − | 0.239538i | ||||||
\(772\) | −2.37908e6 | + | 1.17119e7i | −0.143670 | + | 0.707269i | ||||
\(773\) | −1.70779e7 | + | 9.85992e6i | −1.02798 | + | 0.593506i | −0.916406 | − | 0.400250i | \(-0.868923\pi\) |
−0.111576 | + | 0.993756i | \(0.535590\pi\) | |||||||
\(774\) | 1.23483e7 | + | 8.88662e6i | 0.740891 | + | 0.533193i | ||||
\(775\) | 2.09423e6 | + | 3.62732e6i | 0.125248 | + | 0.216936i | ||||
\(776\) | −7.66671e6 | − | 8.28615e6i | −0.457040 | − | 0.493968i | ||||
\(777\) | −2.17728e6 | + | 3.77116e6i | −0.129378 | + | 0.224090i | ||||
\(778\) | 2.50294e7 | + | 2.51645e6i | 1.48252 | + | 0.149053i | ||||
\(779\) | −6.76612e6 | + | 2.64126e7i | −0.399481 | + | 1.55944i | ||||
\(780\) | 5.39301e6 | − | 2.65491e7i | 0.317391 | − | 1.56248i | ||||
\(781\) | −1.19670e7 | − | 6.90913e6i | −0.702031 | − | 0.405318i | ||||
\(782\) | −1.88728e7 | − | 1.35821e7i | −1.10362 | − | 0.794237i | ||||
\(783\) | 330253. | − | 190672.i | 0.0192505 | − | 0.0111143i | ||||
\(784\) | −1.02263e7 | + | 7.71589e6i | −0.594194 | + | 0.448328i | ||||
\(785\) | 4.58802e6 | + | 7.94668e6i | 0.265736 | + | 0.460269i | ||||
\(786\) | 2.65486e6 | − | 2.64060e7i | 0.153280 | − | 1.52457i | ||||
\(787\) | 117516. | 0.00676330 | 0.00338165 | − | 0.999994i | \(-0.498924\pi\) | ||||
0.00338165 | + | 0.999994i | \(0.498924\pi\) | |||||||
\(788\) | −1.10658e7 | − | 3.30386e7i | −0.634846 | − | 1.89542i | ||||
\(789\) | 1.00121e7 | − | 5.78048e6i | 0.572574 | − | 0.330576i | ||||
\(790\) | 3.35221e6 | + | 337031.i | 0.191101 | + | 0.0192133i | ||||
\(791\) | 2.31093e6 | 0.131325 | ||||||||
\(792\) | −8.63017e6 | + | 1.95698e6i | −0.488885 | + | 0.110860i | ||||
\(793\) | −1.59340e7 | − | 9.19951e6i | −0.899792 | − | 0.519495i | ||||
\(794\) | −9.29271e6 | − | 2.06206e7i | −0.523108 | − | 1.16078i | ||||
\(795\) | 2.87667e7 | + | 1.66085e7i | 1.61426 | + | 0.931992i | ||||
\(796\) | 1.18057e7 | + | 1.04384e7i | 0.660405 | + | 0.583916i | ||||
\(797\) | − | 8.27739e6i | − | 0.461581i | −0.973004 | − | 0.230790i | \(-0.925869\pi\) | ||
0.973004 | − | 0.230790i | \(-0.0741311\pi\) | |||||||
\(798\) | −8.20345e6 | − | 9.81459e6i | −0.456026 | − | 0.545588i | ||||
\(799\) | − | 2.46526e6i | − | 0.136614i | ||||||
\(800\) | −5.00611e6 | + | 3.04303e6i | −0.276551 | + | 0.168105i | ||||
\(801\) | −1.23138e6 | − | 710939.i | −0.0678128 | − | 0.0391517i | ||||
\(802\) | 1.39105e7 | − | 6.26877e6i | 0.763669 | − | 0.344149i | ||||
\(803\) | −1.31354e7 | − | 7.58371e6i | −0.718876 | − | 0.415043i | ||||
\(804\) | 7.28689e6 | + | 2.17560e7i | 0.397559 | + | 1.18697i | ||||
\(805\) | −1.22985e7 | −0.668903 | ||||||||
\(806\) | −1.40718e6 | + | 1.39963e7i | −0.0762980 | + | 0.758882i | ||||
\(807\) | 6.04072e6 | − | 3.48761e6i | 0.326516 | − | 0.188514i | ||||
\(808\) | 379671. | + | 1.67433e6i | 0.0204587 | + | 0.0902220i | ||||
\(809\) | 1.98199e7 | 1.06471 | 0.532353 | − | 0.846523i | \(-0.321308\pi\) | ||||
0.532353 | + | 0.846523i | \(0.321308\pi\) | |||||||
\(810\) | 2.18385e7 | + | 2.19564e6i | 1.16952 | + | 0.117584i | ||||
\(811\) | 1.24630e7 | + | 2.15865e7i | 0.665379 | + | 1.15247i | 0.979182 | + | 0.202982i | \(0.0650633\pi\) |
−0.313804 | + | 0.949488i | \(0.601603\pi\) | |||||||
\(812\) | −4.48866e6 | + | 5.07664e6i | −0.238906 | + | 0.270201i | ||||
\(813\) | 1.73836e7 | − | 1.00364e7i | 0.922387 | − | 0.532541i | ||||
\(814\) | 2.06001e6 | − | 2.86246e6i | 0.108970 | − | 0.151418i | ||||
\(815\) | −2.33746e7 | − | 1.34953e7i | −1.23268 | − | 0.711688i | ||||
\(816\) | −2.91235e7 | − | 1.23411e7i | −1.53115 | − | 0.648829i | ||||
\(817\) | 4.41968e6 | − | 1.72529e7i | 0.231652 | − | 0.904289i | ||||
\(818\) | 3.56506e6 | − | 3.54592e7i | 0.186288 | − | 1.85287i | ||||
\(819\) | 4.67607e6 | − | 8.09920e6i | 0.243597 | − | 0.421922i | ||||
\(820\) | 2.67154e7 | + | 2.36212e7i | 1.38748 | + | 1.22678i | ||||
\(821\) | 5.31482e6 | + | 9.20554e6i | 0.275189 | + | 0.476641i | 0.970183 | − | 0.242375i | \(-0.0779263\pi\) |
−0.694994 | + | 0.719016i | \(0.744593\pi\) | |||||||
\(822\) | 2.25121e7 | − | 3.12814e7i | 1.16208 | − | 1.61476i | ||||
\(823\) | −2.51804e7 | + | 1.45379e7i | −1.29588 | + | 0.748174i | −0.979689 | − | 0.200523i | \(-0.935736\pi\) |
−0.316186 | + | 0.948697i | \(0.602402\pi\) | |||||||
\(824\) | 3.22415e7 | + | 9.99502e6i | 1.65424 | + | 0.512821i | ||||
\(825\) | 4.56155e6i | 0.233334i | ||||||||
\(826\) | 824320. | − | 371481.i | 0.0420384 | − | 0.0189447i | ||||
\(827\) | −3.73550e6 | − | 6.47007e6i | −0.189926 | − | 0.328962i | 0.755299 | − | 0.655380i | \(-0.227492\pi\) |
−0.945225 | + | 0.326418i | \(0.894158\pi\) | |||||||
\(828\) | −4.41576e6 | + | 2.17383e7i | −0.223836 | + | 1.10192i | ||||
\(829\) | − | 1.15648e7i | − | 0.584457i | −0.956349 | − | 0.292228i | \(-0.905603\pi\) | ||
0.956349 | − | 0.292228i | \(-0.0943967\pi\) | |||||||
\(830\) | −3.50231e7 | + | 1.57832e7i | −1.76465 | + | 0.795244i | ||||
\(831\) | 1.89046e7 | − | 3.27437e7i | 0.949652 | − | 1.64485i | ||||
\(832\) | −1.96161e7 | − | 1.52568e6i | −0.982436 | − | 0.0764108i | ||||
\(833\) | −8.81345e6 | + | 1.52653e7i | −0.440082 | + | 0.762244i | ||||
\(834\) | 4.23667e7 | + | 3.04898e7i | 2.10916 | + | 1.51789i | ||||
\(835\) | 6.34244e6 | 0.314804 | ||||||||
\(836\) | 5.81532e6 | + | 8.57337e6i | 0.287778 | + | 0.424264i | ||||
\(837\) | −488850. | −0.0241192 | ||||||||
\(838\) | −2.03358e7 | − | 1.46350e7i | −1.00035 | − | 0.719916i | ||||
\(839\) | −1.59771e7 | + | 2.76732e7i | −0.783598 | + | 1.35723i | 0.146235 | + | 0.989250i | \(0.453284\pi\) |
−0.929833 | + | 0.367981i | \(0.880049\pi\) | |||||||
\(840\) | −1.63158e7 | + | 3.69978e6i | −0.797831 | + | 0.180916i | ||||
\(841\) | −5.03705e6 | + | 8.72443e6i | −0.245576 | + | 0.425351i | ||||
\(842\) | −2.19113e7 | + | 9.87436e6i | −1.06509 | + | 0.479986i | ||||
\(843\) | − | 1.49194e6i | − | 0.0723075i | ||||||
\(844\) | −1.35160e7 | − | 2.74554e6i | −0.653118 | − | 0.132670i | ||||
\(845\) | 346028. | + | 599339.i | 0.0166713 | + | 0.0288756i | ||||
\(846\) | −2.14417e6 | + | 966272.i | −0.102999 | + | 0.0464166i | ||||
\(847\) | − | 7.78222e6i | − | 0.372730i | ||||||
\(848\) | 9.41244e6 | − | 2.22122e7i | 0.449482 | − | 1.06072i | ||||
\(849\) | 1.38771e7 | − | 8.01193e6i | 0.660737 | − | 0.381477i | ||||
\(850\) | −4.70861e6 | + | 6.54279e6i | −0.223535 | + | 0.310610i | ||||
\(851\) | −4.42009e6 | − | 7.65582e6i | −0.209222 | − | 0.362383i | ||||
\(852\) | −3.12111e7 | + | 3.52995e7i | −1.47302 | + | 1.66598i | ||||
\(853\) | 4.34666e6 | − | 7.52864e6i | 0.204542 | − | 0.354278i | −0.745444 | − | 0.666568i | \(-0.767763\pi\) |
0.949987 | + | 0.312290i | \(0.101096\pi\) | |||||||
\(854\) | −1.13662e6 | + | 1.13052e7i | −0.0533300 | + | 0.530436i | ||||
\(855\) | 6.47956e6 | + | 2.31580e7i | 0.303131 | + | 1.08339i | ||||
\(856\) | 1.81182e7 | + | 5.61672e6i | 0.845143 | + | 0.261998i | ||||
\(857\) | −6.14856e6 | − | 3.54987e6i | −0.285971 | − | 0.165105i | 0.350153 | − | 0.936693i | \(-0.386130\pi\) |
−0.636123 | + | 0.771587i | \(0.719463\pi\) | |||||||
\(858\) | −8.94870e6 | + | 1.24345e7i | −0.414994 | + | 0.576649i | ||||
\(859\) | 3.63606e7 | − | 2.09928e7i | 1.68131 | − | 0.970705i | 0.720519 | − | 0.693435i | \(-0.243904\pi\) |
0.960792 | − | 0.277270i | \(-0.0894296\pi\) | |||||||
\(860\) | −1.74507e7 | − | 1.54296e7i | −0.804576 | − | 0.711390i | ||||
\(861\) | 1.24498e7 | + | 2.15637e7i | 0.572340 | + | 0.991322i | ||||
\(862\) | −3.68844e7 | − | 3.70835e6i | −1.69073 | − | 0.169986i | ||||
\(863\) | −2.46156e7 | −1.12508 | −0.562541 | − | 0.826769i | \(-0.690176\pi\) | ||||
−0.562541 | + | 0.826769i | \(0.690176\pi\) | |||||||
\(864\) | −15439.7 | − | 683583.i | −0.000703648 | − | 0.0311535i | ||||
\(865\) | −6.63136e6 | + | 3.82862e6i | −0.301344 | + | 0.173981i | ||||
\(866\) | −1.80955e6 | + | 1.79984e7i | −0.0819930 | + | 0.815527i | ||||
\(867\) | −1.23947e7 | −0.560002 | ||||||||
\(868\) | 8.23710e6 | − | 2.75890e6i | 0.371087 | − | 0.124290i | ||||
\(869\) | −1.64994e6 | − | 952596.i | −0.0741173 | − | 0.0427917i | ||||
\(870\) | 2.34922e7 | − | 1.05868e7i | 1.05227 | − | 0.474205i | ||||
\(871\) | 1.70068e7 | + | 9.81886e6i | 0.759585 | + | 0.438547i | ||||
\(872\) | 2.86703e7 | + | 3.09867e7i | 1.27685 | + | 1.38002i | ||||
\(873\) | 1.48184e7i | 0.658060i | ||||||||
\(874\) | 2.55821e7 | − | 4.46032e6i | 1.13281 | − | 0.197509i | ||||
\(875\) | − | 8.91054e6i | − | 0.393445i | ||||||
\(876\) | −3.42584e7 | + | 3.87460e7i | −1.50837 | + | 1.70595i | ||||
\(877\) | 2.49874e7 | + | 1.44265e7i | 1.09704 | + | 0.633375i | 0.935441 | − | 0.353482i | \(-0.115003\pi\) |
0.161596 | + | 0.986857i | \(0.448336\pi\) | |||||||
\(878\) | −1.19622e7 | − | 2.65443e7i | −0.523691 | − | 1.16208i | ||||
\(879\) | 3.66357e7 | + | 2.11516e7i | 1.59931 | + | 0.923362i | ||||
\(880\) | 1.34473e7 | − | 1.65948e6i | 0.585367 | − | 0.0722381i | ||||
\(881\) | 1.06185e7 | 0.460918 | 0.230459 | − | 0.973082i | \(-0.425977\pi\) | ||||
0.230459 | + | 0.973082i | \(0.425977\pi\) | |||||||
\(882\) | 1.67316e7 | + | 1.68219e6i | 0.724211 | + | 0.0728121i | ||||
\(883\) | 2.80676e6 | − | 1.62049e6i | 0.121145 | − | 0.0699429i | −0.438203 | − | 0.898876i | \(-0.644385\pi\) |
0.559348 | + | 0.828933i | \(0.311052\pi\) | |||||||
\(884\) | −2.56708e7 | + | 8.59809e6i | −1.10487 | + | 0.370059i | ||||
\(885\) | −3.43806e6 | −0.147556 | ||||||||
\(886\) | 1.22953e6 | − | 1.22293e7i | 0.0526204 | − | 0.523378i | ||||
\(887\) | −7.91957e6 | − | 1.37171e7i | −0.337981 | − | 0.585400i | 0.646072 | − | 0.763277i | \(-0.276411\pi\) |
−0.984053 | + | 0.177876i | \(0.943077\pi\) | |||||||
\(888\) | −8.16702e6 | − | 8.82689e6i | −0.347561 | − | 0.375643i | ||||
\(889\) | 2.87782e6 | − | 1.66151e6i | 0.122126 | − | 0.0705097i | ||||
\(890\) | 1.76704e6 | + | 1.27168e6i | 0.0747777 | + | 0.0538149i | ||||
\(891\) | −1.07488e7 | − | 6.20582e6i | −0.453592 | − | 0.261882i | ||||
\(892\) | −1.41943e6 | − | 288334.i | −0.0597315 | − | 0.0121335i | ||||
\(893\) | 1.96816e6 | + | 1.92524e6i | 0.0825908 | + | 0.0807899i | ||||
\(894\) | −4.26643e7 | − | 4.28947e6i | −1.78534 | − | 0.179498i | ||||
\(895\) | −1.73084e7 | + | 2.99791e7i | −0.722271 | + | 1.25101i | ||||
\(896\) | 4.11807e6 | + | 1.14312e7i | 0.171366 | + | 0.475688i | ||||
\(897\) | 1.92009e7 | + | 3.32569e7i | 0.796783 | + | 1.38007i | ||||
\(898\) | 2.40024e7 | + | 1.72736e7i | 0.993260 | + | 0.714814i | ||||
\(899\) | −1.15869e7 | + | 6.68971e6i | −0.478155 | + | 0.276063i | ||||
\(900\) | 7.53618e6 | + | 1.53085e6i | 0.310131 | + | 0.0629978i | ||||
\(901\) | − | 3.31939e7i | − | 1.36222i | ||||||
\(902\) | −8.28522e6 | − | 1.83850e7i | −0.339069 | − | 0.752396i | ||||
\(903\) | −8.13230e6 | − | 1.40856e7i | −0.331890 | − | 0.574850i | ||||
\(904\) | −1.88969e6 | + | 6.09569e6i | −0.0769077 | + | 0.248086i | ||||
\(905\) | 1.29726e7i | 0.526507i | ||||||||
\(906\) | −3.39054e6 | − | 7.52365e6i | −0.137230 | − | 0.304514i | ||||
\(907\) | −2.62567e6 | + | 4.54780e6i | −0.105980 | + | 0.183562i | −0.914138 | − | 0.405403i | \(-0.867131\pi\) |
0.808158 | + | 0.588965i | \(0.200464\pi\) | |||||||
\(908\) | 3.02119e6 | + | 9.02019e6i | 0.121608 | + | 0.363079i | ||||
\(909\) | 1.12681e6 | − | 1.95168e6i | 0.0452313 | − | 0.0783429i | ||||
\(910\) | −8.36424e6 | + | 1.16224e7i | −0.334829 | + | 0.465257i | ||||
\(911\) | 8.72828e6 | 0.348444 | 0.174222 | − | 0.984706i | \(-0.444259\pi\) | ||||
0.174222 | + | 0.984706i | \(0.444259\pi\) | |||||||
\(912\) | 3.25967e7 | − | 1.36132e7i | 1.29773 | − | 0.541966i | ||||
\(913\) | 2.17233e7 | 0.862481 | ||||||||
\(914\) | −2.34377e7 | + | 3.25676e7i | −0.928004 | + | 1.28949i | ||||
\(915\) | 2.16023e7 | − | 3.74163e7i | 0.852998 | − | 1.47744i | ||||
\(916\) | −1.05397e7 | − | 3.14677e7i | −0.415038 | − | 1.23916i | ||||
\(917\) | −7.01370e6 | + | 1.21481e7i | −0.275438 | + | 0.477072i | ||||
\(918\) | −386545. | − | 857747.i | −0.0151389 | − | 0.0335933i | ||||
\(919\) | − | 5.17384e6i | − | 0.202081i | −0.994882 | − | 0.101040i | \(-0.967783\pi\) | ||
0.994882 | − | 0.101040i | \(-0.0322171\pi\) | |||||||
\(920\) | 1.00567e7 | − | 3.24406e7i | 0.391730 | − | 1.26363i | ||||
\(921\) | 5.67308e6 | + | 9.82607e6i | 0.220379 | + | 0.381707i | ||||
\(922\) | −9.95872e6 | − | 2.20985e7i | −0.385812 | − | 0.856121i | ||||
\(923\) | 4.03290e7i | 1.55817i | ||||||||
\(924\) | 9.27129e6 | + | 1.88331e6i | 0.357240 | + | 0.0725673i | ||||
\(925\) | −2.65410e6 | + | 1.53235e6i | −0.101991 | + | 0.0588848i | ||||
\(926\) | 2.39498e7 | + | 1.72358e7i | 0.917855 | + | 0.660548i | ||||
\(927\) | −2.21545e7 | − | 3.83727e7i | −0.846764 | − | 1.46664i | ||||
\(928\) | −9.72051e6 | − | 1.59913e7i | −0.370526 | − | 0.609555i | ||||
\(929\) | 1.41567e6 | − | 2.45201e6i | 0.0538174 | − | 0.0932145i | −0.837862 | − | 0.545883i | \(-0.816194\pi\) |
0.891679 | + | 0.452668i | \(0.149528\pi\) | |||||||
\(930\) | −3.28661e7 | − | 3.30435e6i | −1.24606 | − | 0.125279i | ||||
\(931\) | −5.30434e6 | − | 1.89578e7i | −0.200566 | − | 0.716824i | ||||
\(932\) | −9.40628e6 | − | 1.91073e6i | −0.354714 | − | 0.0720542i | ||||
\(933\) | 1.05956e6 | + | 611740.i | 0.0398495 | + | 0.0230071i | ||||
\(934\) | 2.70456e7 | + | 1.94637e7i | 1.01445 | + | 0.730061i | ||||
\(935\) | 1.61456e7 | − | 9.32165e6i | 0.603982 | − | 0.348709i | ||||
\(936\) | 1.75400e7 | + | 1.89572e7i | 0.654396 | + | 0.707270i | ||||
\(937\) | 6.63168e6 | + | 1.14864e7i | 0.246760 | + | 0.427401i | 0.962625 | − | 0.270838i | \(-0.0873008\pi\) |
−0.715865 | + | 0.698239i | \(0.753967\pi\) | |||||||
\(938\) | 1.21314e6 | − | 1.20663e7i | 0.0450200 | − | 0.447782i | ||||
\(939\) | 2.01354e7 | 0.745239 | ||||||||
\(940\) | 3.41451e6 | − | 1.14364e6i | 0.126040 | − | 0.0422153i | ||||
\(941\) | 3.45816e7 | − | 1.99657e7i | 1.27313 | − | 0.735039i | 0.297550 | − | 0.954706i | \(-0.403830\pi\) |
0.975575 | + | 0.219667i | \(0.0704971\pi\) | |||||||
\(942\) | −1.76050e7 | − | 1.77001e6i | −0.646411 | − | 0.0649901i | ||||
\(943\) | −5.05486e7 | −1.85110 | ||||||||
\(944\) | 305817. | + | 2.47813e6i | 0.0111695 | + | 0.0905093i | ||||
\(945\) | −430954. | − | 248811.i | −0.0156982 | − | 0.00906339i | ||||
\(946\) | 5.41197e6 | + | 1.20092e7i | 0.196620 | + | 0.436301i | ||||
\(947\) | 4.34255e7 | + | 2.50717e7i | 1.57351 | + | 0.908467i | 0.995734 | + | 0.0922728i | \(0.0294132\pi\) |
0.577778 | + | 0.816194i | \(0.303920\pi\) | |||||||
\(948\) | −4.30323e6 | + | 4.86692e6i | −0.155515 | + | 0.175887i | ||||
\(949\) | 4.42666e7i | 1.59555i | ||||||||
\(950\) | −1.54630e6 | − | 8.86875e6i | −0.0555883 | − | 0.318826i | ||||
\(951\) | 4.64984e7i | 1.66720i | ||||||||
\(952\) | 1.13541e7 | + | 1.22715e7i | 0.406032 | + | 0.438838i | ||||
\(953\) | 1.37895e7 | + | 7.96139e6i | 0.491833 | + | 0.283960i | 0.725335 | − | 0.688397i | \(-0.241685\pi\) |
−0.233502 | + | 0.972356i | \(0.575018\pi\) | |||||||
\(954\) | −2.88704e7 | + | 1.30105e7i | −1.02703 | + | 0.462832i | ||||
\(955\) | 1.76761e7 | + | 1.02053e7i | 0.627161 | + | 0.362091i | ||||
\(956\) | −2.71502e7 | + | 9.09357e6i | −0.960789 | + | 0.321803i | ||||
\(957\) | −1.45712e7 | −0.514299 | ||||||||
\(958\) | −832767. | + | 8.28295e6i | −0.0293164 | + | 0.291589i | ||||
\(959\) | −1.76413e7 | + | 1.01852e7i | −0.619419 | + | 0.357622i | ||||
\(960\) | 3.58260e6 | − | 4.60626e7i | 0.125464 | − | 1.61313i | ||||
\(961\) | −1.14778e7 | −0.400915 | ||||||||
\(962\) | −1.02411e7 | − | 1.02963e6i | −0.356785 | − | 0.0358712i | ||||
\(963\) | −1.24497e7 | − | 2.15636e7i | −0.432608 | − | 0.749299i | ||||
\(964\) | 3.85247e7 | + | 3.40627e7i | 1.33520 | + | 1.18056i | ||||
\(965\) | −2.08016e7 | + | 1.20098e7i | −0.719084 | + | 0.415163i | ||||
\(966\) | 1.38524e7 | − | 1.92484e7i | 0.477618 | − | 0.663668i | ||||
\(967\) | −3.24322e7 | − | 1.87247e7i | −1.11535 | − | 0.643946i | −0.175138 | − | 0.984544i | \(-0.556037\pi\) |
−0.940209 | + | 0.340598i | \(0.889370\pi\) | |||||||
\(968\) | 2.05276e7 | + | 6.36365e6i | 0.704126 | + | 0.218282i | ||||
\(969\) | 3.39887e7 | − | 3.47463e7i | 1.16285 | − | 1.18877i | ||||
\(970\) | 2.26968e6 | − | 2.25749e7i | 0.0774525 | − | 0.770365i | ||||
\(971\) | 1.34047e6 | − | 2.32177e6i | 0.0456257 | − | 0.0790260i | −0.842311 | − | 0.538992i | \(-0.818805\pi\) |
0.887936 | + | 0.459966i | \(0.152139\pi\) | |||||||
\(972\) | −2.74260e7 | + | 3.10186e7i | −0.931101 | + | 1.05307i | ||||
\(973\) | −1.37946e7 | − | 2.38929e7i | −0.467118 | − | 0.809073i | ||||
\(974\) | 3.04269e6 | − | 4.22793e6i | 0.102769 | − | 0.142801i | ||||
\(975\) | 1.15294e7 | − | 6.65652e6i | 0.388415 | − | 0.224252i | ||||
\(976\) | −2.88909e7 | − | 1.22426e7i | −0.970816 | − | 0.411385i | ||||
\(977\) | − | 3.14755e7i | − | 1.05496i | −0.849567 | − | 0.527480i | \(-0.823137\pi\) | ||
0.849567 | − | 0.527480i | \(-0.176863\pi\) | |||||||
\(978\) | 4.74493e7 | − | 2.13831e7i | 1.58629 | − | 0.714864i | ||||
\(979\) | −615552. | − | 1.06617e6i | −0.0205262 | − | 0.0355524i | ||||
\(980\) | −2.52319e7 | − | 5.12543e6i | −0.839236 | − | 0.170477i | ||||
\(981\) | − | 5.54145e7i | − | 1.83845i | ||||||
\(982\) | 2.88814e7 | − | 1.30154e7i | 0.955740 | − | 0.430705i | ||||
\(983\) | −1.82097e7 | + | 3.15402e7i | −0.601063 | + | 1.04107i | 0.391598 | + | 0.920136i | \(0.371922\pi\) |
−0.992660 | + | 0.120935i | \(0.961411\pi\) | |||||||
\(984\) | −6.70602e7 | + | 1.52066e7i | −2.20789 | + | 0.500661i | ||||
\(985\) | 3.50138e7 | − | 6.06457e7i | 1.14987 | − | 1.99163i | ||||
\(986\) | −2.09000e7 | − | 1.50410e7i | −0.684626 | − | 0.492701i | ||||
\(987\) | 2.51431e6 | 0.0821536 | ||||||||
\(988\) | 1.31833e7 | − | 2.72092e7i | 0.429666 | − | 0.886795i | ||||
\(989\) | 3.30187e7 | 1.07342 | ||||||||
\(990\) | −1.44359e7 | − | 1.03890e7i | −0.468118 | − | 0.336888i | ||||
\(991\) | 9.84167e6 | − | 1.70463e7i | 0.318335 | − | 0.551373i | −0.661806 | − | 0.749676i | \(-0.730210\pi\) |
0.980141 | + | 0.198303i | \(0.0635429\pi\) | |||||||
\(992\) | 541703. | + | 2.39835e7i | 0.0174776 | + | 0.773809i | ||||
\(993\) | −1.92474e7 | + | 3.33375e7i | −0.619440 | + | 1.07290i | ||||
\(994\) | 2.27058e7 | − | 1.02324e7i | 0.728904 | − | 0.328482i | ||||
\(995\) | 3.16722e7i | 1.01419i | ||||||||
\(996\) | 1.47458e7 | − | 7.25918e7i | 0.470999 | − | 2.31867i | ||||
\(997\) | −57062.9 | − | 98835.8i | −0.00181809 | − | 0.00314903i | 0.865115 | − | 0.501574i | \(-0.167245\pi\) |
−0.866933 | + | 0.498425i | \(0.833912\pi\) | |||||||
\(998\) | −9.38553e6 | + | 4.22960e6i | −0.298286 | + | 0.134423i | ||||
\(999\) | − | 357691.i | − | 0.0113395i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 76.6.f.a.27.13 | ✓ | 96 | |
4.3 | odd | 2 | inner | 76.6.f.a.27.30 | yes | 96 | |
19.12 | odd | 6 | inner | 76.6.f.a.31.30 | yes | 96 | |
76.31 | even | 6 | inner | 76.6.f.a.31.13 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.6.f.a.27.13 | ✓ | 96 | 1.1 | even | 1 | trivial | |
76.6.f.a.27.30 | yes | 96 | 4.3 | odd | 2 | inner | |
76.6.f.a.31.13 | yes | 96 | 76.31 | even | 6 | inner | |
76.6.f.a.31.30 | yes | 96 | 19.12 | odd | 6 | inner |