Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,6,Mod(7,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.7");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.d (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.65113077458\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 7.8 | ||
Character | \(\chi\) | \(=\) | 29.7 |
Dual form | 29.6.d.a.25.8 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.813916 | + | 3.56600i | 0.143881 | + | 0.630386i | 0.994512 | + | 0.104622i | \(0.0333633\pi\) |
−0.850631 | + | 0.525764i | \(0.823780\pi\) | |||||||
\(3\) | −6.23245 | − | 3.00139i | −0.399812 | − | 0.192539i | 0.223163 | − | 0.974781i | \(-0.428362\pi\) |
−0.622975 | + | 0.782242i | \(0.714076\pi\) | |||||||
\(4\) | 16.7771 | − | 8.07943i | 0.524285 | − | 0.252482i | ||||
\(5\) | −22.0176 | − | 96.4653i | −0.393862 | − | 1.72562i | −0.650847 | − | 0.759209i | \(-0.725586\pi\) |
0.256985 | − | 0.966415i | \(-0.417271\pi\) | |||||||
\(6\) | 5.63027 | − | 24.6678i | 0.0638485 | − | 0.279739i | ||||
\(7\) | 166.222 | + | 80.0483i | 1.28216 | + | 0.617457i | 0.945945 | − | 0.324327i | \(-0.105138\pi\) |
0.336218 | + | 0.941784i | \(0.390852\pi\) | |||||||
\(8\) | 115.444 | + | 144.762i | 0.637743 | + | 0.799704i | ||||
\(9\) | −121.673 | − | 152.573i | −0.500712 | − | 0.627872i | ||||
\(10\) | 326.075 | − | 157.029i | 1.03114 | − | 0.496571i | ||||
\(11\) | 128.222 | − | 160.785i | 0.319507 | − | 0.400650i | −0.595978 | − | 0.803001i | \(-0.703235\pi\) |
0.915485 | + | 0.402351i | \(0.131807\pi\) | |||||||
\(12\) | −128.812 | −0.258228 | ||||||||
\(13\) | 202.955 | − | 254.498i | 0.333075 | − | 0.417663i | −0.586888 | − | 0.809668i | \(-0.699647\pi\) |
0.919963 | + | 0.392005i | \(0.128218\pi\) | |||||||
\(14\) | −150.161 | + | 657.900i | −0.204757 | + | 0.897098i | ||||
\(15\) | −152.307 | + | 667.299i | −0.174780 | + | 0.765759i | ||||
\(16\) | −50.7357 | + | 63.6206i | −0.0495466 | + | 0.0621295i | ||||
\(17\) | −1148.02 | −0.963445 | −0.481723 | − | 0.876324i | \(-0.659989\pi\) | ||||
−0.481723 | + | 0.876324i | \(0.659989\pi\) | |||||||
\(18\) | 445.044 | − | 558.067i | 0.323759 | − | 0.405981i | ||||
\(19\) | 865.278 | − | 416.696i | 0.549885 | − | 0.264811i | −0.138245 | − | 0.990398i | \(-0.544146\pi\) |
0.688130 | + | 0.725588i | \(0.258432\pi\) | |||||||
\(20\) | −1148.78 | − | 1440.52i | −0.642185 | − | 0.805275i | ||||
\(21\) | −795.714 | − | 997.794i | −0.393739 | − | 0.493734i | ||||
\(22\) | 677.723 | + | 326.374i | 0.298535 | + | 0.143767i | ||||
\(23\) | −812.753 | + | 3560.90i | −0.320360 | + | 1.40359i | 0.516553 | + | 0.856255i | \(0.327215\pi\) |
−0.836913 | + | 0.547335i | \(0.815642\pi\) | |||||||
\(24\) | −285.011 | − | 1248.71i | −0.101003 | − | 0.442522i | ||||
\(25\) | −6005.26 | + | 2891.98i | −1.92168 | + | 0.925434i | ||||
\(26\) | 1072.73 | + | 516.599i | 0.311212 | + | 0.149872i | ||||
\(27\) | 674.436 | + | 2954.90i | 0.178046 | + | 0.780069i | ||||
\(28\) | 3435.47 | 0.828115 | ||||||||
\(29\) | 1324.63 | − | 4330.88i | 0.292482 | − | 0.956271i | ||||
\(30\) | −2503.55 | −0.507871 | ||||||||
\(31\) | 1057.18 | + | 4631.81i | 0.197581 | + | 0.865658i | 0.972371 | + | 0.233440i | \(0.0749982\pi\) |
−0.774790 | + | 0.632218i | \(0.782145\pi\) | |||||||
\(32\) | 5070.11 | + | 2441.64i | 0.875271 | + | 0.421508i | ||||
\(33\) | −1281.72 | + | 617.243i | −0.204884 | + | 0.0986668i | ||||
\(34\) | −934.392 | − | 4093.84i | −0.138622 | − | 0.607342i | ||||
\(35\) | 4062.08 | − | 17797.1i | 0.560503 | − | 2.45573i | ||||
\(36\) | −3274.02 | − | 1576.69i | −0.421042 | − | 0.202763i | ||||
\(37\) | 5464.79 | + | 6852.63i | 0.656250 | + | 0.822911i | 0.992929 | − | 0.118708i | \(-0.0378753\pi\) |
−0.336679 | + | 0.941619i | \(0.609304\pi\) | |||||||
\(38\) | 2190.20 | + | 2746.43i | 0.246051 | + | 0.308538i | ||||
\(39\) | −2028.76 | + | 976.999i | −0.213584 | + | 0.102857i | ||||
\(40\) | 11422.7 | − | 14323.6i | 1.12881 | − | 1.41548i | ||||
\(41\) | −153.125 | −0.0142262 | −0.00711308 | − | 0.999975i | \(-0.502264\pi\) | ||||
−0.00711308 | + | 0.999975i | \(0.502264\pi\) | |||||||
\(42\) | 2910.49 | − | 3649.64i | 0.254591 | − | 0.319247i | ||||
\(43\) | −3084.34 | + | 13513.4i | −0.254385 | + | 1.11453i | 0.672769 | + | 0.739853i | \(0.265105\pi\) |
−0.927154 | + | 0.374681i | \(0.877752\pi\) | |||||||
\(44\) | 852.141 | − | 3733.47i | 0.0663559 | − | 0.290724i | ||||
\(45\) | −12039.1 | + | 15096.5i | −0.886260 | + | 1.11134i | ||||
\(46\) | −13359.7 | −0.930897 | ||||||||
\(47\) | 10104.1 | − | 12670.1i | 0.667196 | − | 0.836637i | −0.326910 | − | 0.945056i | \(-0.606007\pi\) |
0.994105 | + | 0.108419i | \(0.0345787\pi\) | |||||||
\(48\) | 507.158 | − | 244.235i | 0.0317717 | − | 0.0153004i | ||||
\(49\) | 10743.0 | + | 13471.3i | 0.639199 | + | 0.801530i | ||||
\(50\) | −15200.6 | − | 19060.9i | −0.859875 | − | 1.07825i | ||||
\(51\) | 7154.98 | + | 3445.65i | 0.385197 | + | 0.185501i | ||||
\(52\) | 1348.81 | − | 5909.51i | 0.0691737 | − | 0.303070i | ||||
\(53\) | 2994.51 | + | 13119.8i | 0.146432 | + | 0.641560i | 0.993860 | + | 0.110649i | \(0.0352930\pi\) |
−0.847428 | + | 0.530911i | \(0.821850\pi\) | |||||||
\(54\) | −9988.24 | + | 4810.08i | −0.466127 | + | 0.224475i | ||||
\(55\) | −18333.4 | − | 8828.88i | −0.817213 | − | 0.393549i | ||||
\(56\) | 7601.35 | + | 33303.7i | 0.323907 | + | 1.41913i | ||||
\(57\) | −6643.47 | −0.270837 | ||||||||
\(58\) | 16522.1 | + | 1198.65i | 0.644902 | + | 0.0467866i | ||||
\(59\) | −32963.8 | −1.23284 | −0.616421 | − | 0.787417i | \(-0.711418\pi\) | ||||
−0.616421 | + | 0.787417i | \(0.711418\pi\) | |||||||
\(60\) | 2836.13 | + | 12425.9i | 0.101706 | + | 0.445604i | ||||
\(61\) | 34280.1 | + | 16508.4i | 1.17955 | + | 0.568043i | 0.917781 | − | 0.397087i | \(-0.129979\pi\) |
0.261772 | + | 0.965130i | \(0.415693\pi\) | |||||||
\(62\) | −15656.6 | + | 7539.81i | −0.517270 | + | 0.249104i | ||||
\(63\) | −8011.50 | − | 35100.7i | −0.254310 | − | 1.11420i | ||||
\(64\) | −5159.67 | + | 22606.0i | −0.157461 | + | 0.689880i | ||||
\(65\) | −29018.8 | − | 13974.7i | −0.851916 | − | 0.410261i | ||||
\(66\) | −3244.30 | − | 4068.22i | −0.0916771 | − | 0.114959i | ||||
\(67\) | −27444.8 | − | 34414.7i | −0.746918 | − | 0.936605i | 0.252603 | − | 0.967570i | \(-0.418713\pi\) |
−0.999520 | + | 0.0309648i | \(0.990142\pi\) | |||||||
\(68\) | −19260.4 | + | 9275.34i | −0.505119 | + | 0.243253i | ||||
\(69\) | 15753.1 | − | 19753.8i | 0.398330 | − | 0.499490i | ||||
\(70\) | 66770.7 | 1.62870 | ||||||||
\(71\) | −19977.4 | + | 25050.8i | −0.470318 | + | 0.589761i | −0.959249 | − | 0.282562i | \(-0.908816\pi\) |
0.488931 | + | 0.872323i | \(0.337387\pi\) | |||||||
\(72\) | 8040.38 | − | 35227.2i | 0.182787 | − | 0.800842i | ||||
\(73\) | 4037.74 | − | 17690.5i | 0.0886812 | − | 0.388538i | −0.911036 | − | 0.412327i | \(-0.864716\pi\) |
0.999717 | + | 0.0237895i | \(0.00757315\pi\) | |||||||
\(74\) | −19988.6 | + | 25064.9i | −0.424329 | + | 0.532092i | ||||
\(75\) | 46107.4 | 0.946494 | ||||||||
\(76\) | 11150.2 | − | 13981.9i | 0.221436 | − | 0.277672i | ||||
\(77\) | 34183.9 | − | 16462.1i | 0.657045 | − | 0.316416i | ||||
\(78\) | −5135.22 | − | 6439.36i | −0.0955702 | − | 0.119841i | ||||
\(79\) | 10527.3 | + | 13200.8i | 0.189779 | + | 0.237976i | 0.867614 | − | 0.497239i | \(-0.165653\pi\) |
−0.677834 | + | 0.735215i | \(0.737081\pi\) | |||||||
\(80\) | 7254.26 | + | 3493.47i | 0.126727 | + | 0.0610284i | ||||
\(81\) | −5886.75 | + | 25791.6i | −0.0996927 | + | 0.436782i | ||||
\(82\) | −124.631 | − | 546.045i | −0.00204688 | − | 0.00896797i | ||||
\(83\) | 92401.0 | − | 44498.0i | 1.47225 | − | 0.708998i | 0.485953 | − | 0.873985i | \(-0.338473\pi\) |
0.986296 | + | 0.164987i | \(0.0527582\pi\) | |||||||
\(84\) | −21411.4 | − | 10311.2i | −0.331090 | − | 0.159445i | ||||
\(85\) | 25276.6 | + | 110744.i | 0.379465 | + | 1.66254i | ||||
\(86\) | −50699.2 | −0.739187 | ||||||||
\(87\) | −21254.3 | + | 23016.3i | −0.301057 | + | 0.326014i | ||||
\(88\) | 38078.0 | 0.524165 | ||||||||
\(89\) | −25473.7 | − | 111607.i | −0.340892 | − | 1.49354i | −0.797197 | − | 0.603720i | \(-0.793685\pi\) |
0.456305 | − | 0.889823i | \(-0.349173\pi\) | |||||||
\(90\) | −63632.9 | − | 30644.0i | −0.828087 | − | 0.398785i | ||||
\(91\) | 54107.8 | − | 26056.9i | 0.684946 | − | 0.329853i | ||||
\(92\) | 15134.4 | + | 66308.2i | 0.186422 | + | 0.816766i | ||||
\(93\) | 7313.04 | − | 32040.5i | 0.0876780 | − | 0.384142i | ||||
\(94\) | 53405.6 | + | 25718.8i | 0.623401 | + | 0.300214i | ||||
\(95\) | −59248.0 | − | 74294.7i | −0.673542 | − | 0.844596i | ||||
\(96\) | −24270.9 | − | 30434.8i | −0.268787 | − | 0.337048i | ||||
\(97\) | 84258.6 | − | 40576.8i | 0.909254 | − | 0.437873i | 0.0800313 | − | 0.996792i | \(-0.474498\pi\) |
0.829222 | + | 0.558919i | \(0.188784\pi\) | |||||||
\(98\) | −39294.8 | + | 49274.1i | −0.413304 | + | 0.518267i | ||||
\(99\) | −40132.7 | −0.411538 | ||||||||
\(100\) | −77385.3 | + | 97038.1i | −0.773853 | + | 0.970381i | ||||
\(101\) | −28608.7 | + | 125343.i | −0.279058 | + | 1.22263i | 0.619930 | + | 0.784657i | \(0.287161\pi\) |
−0.898987 | + | 0.437974i | \(0.855696\pi\) | |||||||
\(102\) | −6463.65 | + | 28319.1i | −0.0615145 | + | 0.269513i | ||||
\(103\) | 13918.7 | − | 17453.5i | 0.129272 | − | 0.162102i | −0.712983 | − | 0.701181i | \(-0.752656\pi\) |
0.842255 | + | 0.539079i | \(0.181228\pi\) | |||||||
\(104\) | 60271.6 | 0.546423 | ||||||||
\(105\) | −78732.8 | + | 98727.8i | −0.696919 | + | 0.873909i | ||||
\(106\) | −44347.9 | + | 21356.8i | −0.383362 | + | 0.184617i | ||||
\(107\) | −8540.59 | − | 10709.6i | −0.0721155 | − | 0.0904300i | 0.744465 | − | 0.667661i | \(-0.232705\pi\) |
−0.816581 | + | 0.577231i | \(0.804133\pi\) | |||||||
\(108\) | 35189.0 | + | 44125.6i | 0.290300 | + | 0.364025i | ||||
\(109\) | −179669. | − | 86524.0i | −1.44846 | − | 0.697542i | −0.466134 | − | 0.884714i | \(-0.654354\pi\) |
−0.982327 | + | 0.187172i | \(0.940068\pi\) | |||||||
\(110\) | 16562.0 | − | 72562.7i | 0.130506 | − | 0.571784i | ||||
\(111\) | −13491.6 | − | 59110.7i | −0.103934 | − | 0.455364i | ||||
\(112\) | −13526.1 | + | 6513.83i | −0.101889 | + | 0.0490672i | ||||
\(113\) | −97936.1 | − | 47163.6i | −0.721517 | − | 0.347465i | 0.0368242 | − | 0.999322i | \(-0.488276\pi\) |
−0.758342 | + | 0.651857i | \(0.773990\pi\) | |||||||
\(114\) | −5407.23 | − | 23690.6i | −0.0389684 | − | 0.170732i | ||||
\(115\) | 361398. | 2.54825 | ||||||||
\(116\) | −12767.6 | − | 83361.8i | −0.0880978 | − | 0.575205i | ||||
\(117\) | −63523.7 | −0.429014 | ||||||||
\(118\) | −26829.8 | − | 117549.i | −0.177383 | − | 0.777165i | ||||
\(119\) | −190826. | − | 91897.0i | −1.23529 | − | 0.594886i | ||||
\(120\) | −114182. | + | 54987.3i | −0.723845 | + | 0.348585i | ||||
\(121\) | 26426.2 | + | 115781.i | 0.164086 | + | 0.718907i | ||||
\(122\) | −30967.9 | + | 135679.i | −0.188370 | + | 0.825305i | ||||
\(123\) | 954.347 | + | 459.589i | 0.00568779 | + | 0.00273909i | ||||
\(124\) | 55158.8 | + | 69166.9i | 0.322152 | + | 0.403965i | ||||
\(125\) | 218410. | + | 273877.i | 1.25025 | + | 1.56777i | ||||
\(126\) | 118648. | − | 57138.0i | 0.665787 | − | 0.320626i | ||||
\(127\) | −123158. | + | 154436.i | −0.677571 | + | 0.849647i | −0.995128 | − | 0.0985922i | \(-0.968566\pi\) |
0.317557 | + | 0.948239i | \(0.397137\pi\) | |||||||
\(128\) | 95264.2 | 0.513931 | ||||||||
\(129\) | 59782.0 | − | 74964.2i | 0.316298 | − | 0.396625i | ||||
\(130\) | 26215.0 | − | 114855.i | 0.136048 | − | 0.596064i | ||||
\(131\) | −51501.6 | + | 225643.i | −0.262206 | + | 1.14880i | 0.656647 | + | 0.754198i | \(0.271974\pi\) |
−0.918853 | + | 0.394600i | \(0.870883\pi\) | |||||||
\(132\) | −16516.5 | + | 20711.1i | −0.0825058 | + | 0.103459i | ||||
\(133\) | 177184. | 0.868551 | ||||||||
\(134\) | 100385. | − | 125879.i | 0.482955 | − | 0.605606i | ||||
\(135\) | 270196. | − | 130119.i | 1.27598 | − | 0.614480i | ||||
\(136\) | −132532. | − | 166189.i | −0.614430 | − | 0.770471i | ||||
\(137\) | 20062.7 | + | 25157.9i | 0.0913247 | + | 0.114518i | 0.825394 | − | 0.564557i | \(-0.190953\pi\) |
−0.734070 | + | 0.679074i | \(0.762381\pi\) | |||||||
\(138\) | 83263.6 | + | 40097.6i | 0.372184 | + | 0.179234i | ||||
\(139\) | 40285.5 | − | 176502.i | 0.176853 | − | 0.774842i | −0.806219 | − | 0.591618i | \(-0.798489\pi\) |
0.983071 | − | 0.183224i | \(-0.0586534\pi\) | |||||||
\(140\) | −75640.7 | − | 331403.i | −0.326164 | − | 1.42902i | ||||
\(141\) | −101001. | + | 48639.7i | −0.427838 | + | 0.206036i | ||||
\(142\) | −105591. | − | 50850.0i | −0.439447 | − | 0.211626i | ||||
\(143\) | −14896.2 | − | 65264.5i | −0.0609166 | − | 0.266893i | ||||
\(144\) | 15880.0 | 0.0638180 | ||||||||
\(145\) | −446945. | − | 32425.1i | −1.76536 | − | 0.128074i | ||||
\(146\) | 66370.8 | 0.257688 | ||||||||
\(147\) | −26522.7 | − | 116203.i | −0.101233 | − | 0.443532i | ||||
\(148\) | 147049. | + | 70814.9i | 0.551832 | + | 0.265748i | ||||
\(149\) | 61305.8 | − | 29523.3i | 0.226222 | − | 0.108943i | −0.317340 | − | 0.948312i | \(-0.602790\pi\) |
0.543562 | + | 0.839369i | \(0.317075\pi\) | |||||||
\(150\) | 37527.6 | + | 164419.i | 0.136183 | + | 0.596656i | ||||
\(151\) | 8220.11 | − | 36014.7i | 0.0293383 | − | 0.128540i | −0.958138 | − | 0.286307i | \(-0.907572\pi\) |
0.987476 | + | 0.157767i | \(0.0504295\pi\) | |||||||
\(152\) | 160213. | + | 77154.3i | 0.562455 | + | 0.270864i | ||||
\(153\) | 139683. | + | 175157.i | 0.482408 | + | 0.604921i | ||||
\(154\) | 86526.7 | + | 108501.i | 0.294001 | + | 0.368665i | ||||
\(155\) | 423532. | − | 203962.i | 1.41598 | − | 0.681900i | ||||
\(156\) | −26143.1 | + | 32782.4i | −0.0860093 | + | 0.107852i | ||||
\(157\) | −407474. | −1.31932 | −0.659662 | − | 0.751563i | \(-0.729300\pi\) | ||||
−0.659662 | + | 0.751563i | \(0.729300\pi\) | |||||||
\(158\) | −38505.7 | + | 48284.6i | −0.122711 | + | 0.153874i | ||||
\(159\) | 20714.5 | − | 90756.2i | 0.0649803 | − | 0.284697i | ||||
\(160\) | 123902. | − | 542849.i | 0.382628 | − | 1.67640i | ||||
\(161\) | −420141. | + | 526841.i | −1.27741 | + | 1.60182i | ||||
\(162\) | −96764.0 | −0.289685 | ||||||||
\(163\) | −83636.1 | + | 104876.i | −0.246561 | + | 0.309178i | −0.889677 | − | 0.456591i | \(-0.849070\pi\) |
0.643115 | + | 0.765769i | \(0.277642\pi\) | |||||||
\(164\) | −2569.00 | + | 1237.17i | −0.00745855 | + | 0.00359185i | ||||
\(165\) | 87762.8 | + | 110051.i | 0.250958 | + | 0.314691i | ||||
\(166\) | 233886. | + | 293284.i | 0.658771 | + | 0.826073i | ||||
\(167\) | −112265. | − | 54063.9i | −0.311496 | − | 0.150009i | 0.271603 | − | 0.962409i | \(-0.412446\pi\) |
−0.583100 | + | 0.812401i | \(0.698160\pi\) | |||||||
\(168\) | 52582.3 | − | 230378.i | 0.143736 | − | 0.629750i | ||||
\(169\) | 59042.1 | + | 258680.i | 0.159018 | + | 0.696701i | ||||
\(170\) | −374340. | + | 180273.i | −0.993446 | + | 0.478418i | ||||
\(171\) | −168857. | − | 81317.5i | −0.441601 | − | 0.212664i | ||||
\(172\) | 57434.1 | + | 251635.i | 0.148030 | + | 0.648560i | ||||
\(173\) | 75209.7 | 0.191055 | 0.0955275 | − | 0.995427i | \(-0.469546\pi\) | ||||
0.0955275 | + | 0.995427i | \(0.469546\pi\) | |||||||
\(174\) | −99375.3 | − | 57059.6i | −0.248831 | − | 0.142875i | ||||
\(175\) | −1.22970e6 | −3.03533 | ||||||||
\(176\) | 3723.82 | + | 16315.1i | 0.00906165 | + | 0.0397017i | ||||
\(177\) | 205445. | + | 98937.2i | 0.492905 | + | 0.237370i | ||||
\(178\) | 377258. | − | 181678.i | 0.892460 | − | 0.429786i | ||||
\(179\) | −726.365 | − | 3182.41i | −0.00169443 | − | 0.00742376i | 0.974074 | − | 0.226231i | \(-0.0726405\pi\) |
−0.975768 | + | 0.218807i | \(0.929783\pi\) | |||||||
\(180\) | −80009.5 | + | 350544.i | −0.184060 | + | 0.806421i | ||||
\(181\) | 115178. | + | 55466.6i | 0.261319 | + | 0.125845i | 0.559957 | − | 0.828522i | \(-0.310818\pi\) |
−0.298637 | + | 0.954367i | \(0.596532\pi\) | |||||||
\(182\) | 136958. | + | 171740.i | 0.306485 | + | 0.384321i | ||||
\(183\) | −164101. | − | 205776.i | −0.362229 | − | 0.454221i | ||||
\(184\) | −609310. | + | 293428.i | −1.32676 | + | 0.638936i | ||||
\(185\) | 540720. | − | 678041.i | 1.16156 | − | 1.45655i | ||||
\(186\) | 120209. | 0.254773 | ||||||||
\(187\) | −147201. | + | 184585.i | −0.307828 | + | 0.386004i | ||||
\(188\) | 67150.1 | − | 294204.i | 0.138565 | − | 0.607091i | ||||
\(189\) | −124428. | + | 545157.i | −0.253376 | + | 1.11011i | ||||
\(190\) | 216712. | − | 271748.i | 0.435511 | − | 0.546113i | ||||
\(191\) | 81662.8 | 0.161972 | 0.0809861 | − | 0.996715i | \(-0.474193\pi\) | ||||
0.0809861 | + | 0.996715i | \(0.474193\pi\) | |||||||
\(192\) | 100007. | − | 125404.i | 0.195784 | − | 0.245505i | ||||
\(193\) | 631554. | − | 304140.i | 1.22044 | − | 0.587734i | 0.291007 | − | 0.956721i | \(-0.406010\pi\) |
0.929435 | + | 0.368987i | \(0.120295\pi\) | |||||||
\(194\) | 213276. | + | 267440.i | 0.406854 | + | 0.510179i | ||||
\(195\) | 138915. | + | 174194.i | 0.261615 | + | 0.328054i | ||||
\(196\) | 289077. | + | 139212.i | 0.537494 | + | 0.258844i | ||||
\(197\) | 73705.5 | − | 322925.i | 0.135311 | − | 0.592838i | −0.861118 | − | 0.508406i | \(-0.830235\pi\) |
0.996429 | − | 0.0844326i | \(-0.0269078\pi\) | |||||||
\(198\) | −32664.6 | − | 143113.i | −0.0592127 | − | 0.259428i | ||||
\(199\) | −62571.5 | + | 30132.8i | −0.112007 | + | 0.0539396i | −0.489048 | − | 0.872257i | \(-0.662656\pi\) |
0.377041 | + | 0.926196i | \(0.376941\pi\) | |||||||
\(200\) | −1.11192e6 | − | 535472.i | −1.96561 | − | 0.946589i | ||||
\(201\) | 67756.4 | + | 296860.i | 0.118293 | + | 0.518277i | ||||
\(202\) | −470257. | −0.810881 | ||||||||
\(203\) | 566861. | − | 613853.i | 0.965466 | − | 1.04550i | ||||
\(204\) | 147879. | 0.248788 | ||||||||
\(205\) | 3371.45 | + | 14771.3i | 0.00560315 | + | 0.0245490i | ||||
\(206\) | 73567.7 | + | 35428.4i | 0.120787 | + | 0.0581678i | ||||
\(207\) | 642188. | − | 309261.i | 1.04168 | − | 0.501649i | ||||
\(208\) | 5894.23 | + | 25824.3i | 0.00944645 | + | 0.0413876i | ||||
\(209\) | 43949.1 | − | 192554.i | 0.0695960 | − | 0.304920i | ||||
\(210\) | −416145. | − | 200405.i | −0.651174 | − | 0.313589i | ||||
\(211\) | −464199. | − | 582087.i | −0.717791 | − | 0.900081i | 0.280420 | − | 0.959877i | \(-0.409526\pi\) |
−0.998211 | + | 0.0597964i | \(0.980955\pi\) | |||||||
\(212\) | 156240. | + | 195918.i | 0.238754 | + | 0.299389i | ||||
\(213\) | 199695. | − | 96168.1i | 0.301591 | − | 0.145239i | ||||
\(214\) | 31239.0 | − | 39172.5i | 0.0466297 | − | 0.0584718i | ||||
\(215\) | 1.37148e6 | 2.02346 | ||||||||
\(216\) | −349897. | + | 438757.i | −0.510277 | + | 0.639868i | ||||
\(217\) | −195042. | + | 854534.i | −0.281176 | + | 1.23191i | ||||
\(218\) | 162309. | − | 711123.i | 0.231314 | − | 1.01345i | ||||
\(219\) | −78261.2 | + | 98136.4i | −0.110265 | + | 0.138267i | ||||
\(220\) | −378913. | −0.527816 | ||||||||
\(221\) | −232997. | + | 292169.i | −0.320900 | + | 0.402396i | ||||
\(222\) | 199808. | − | 96222.3i | 0.272101 | − | 0.131037i | ||||
\(223\) | −399787. | − | 501317.i | −0.538353 | − | 0.675073i | 0.436040 | − | 0.899927i | \(-0.356381\pi\) |
−0.974392 | + | 0.224855i | \(0.927809\pi\) | |||||||
\(224\) | 647315. | + | 811707.i | 0.861976 | + | 1.08088i | ||||
\(225\) | 1.17192e6 | + | 564365.i | 1.54326 | + | 0.743196i | ||||
\(226\) | 88473.4 | − | 387627.i | 0.115224 | − | 0.504828i | ||||
\(227\) | 265146. | + | 1.16168e6i | 0.341524 | + | 1.49631i | 0.795859 | + | 0.605482i | \(0.207020\pi\) |
−0.454335 | + | 0.890831i | \(0.650123\pi\) | |||||||
\(228\) | −111458. | + | 53675.4i | −0.141996 | + | 0.0683815i | ||||
\(229\) | −437345. | − | 210614.i | −0.551106 | − | 0.265399i | 0.137540 | − | 0.990496i | \(-0.456080\pi\) |
−0.688646 | + | 0.725098i | \(0.741795\pi\) | |||||||
\(230\) | 294148. | + | 1.28875e6i | 0.366646 | + | 1.60638i | ||||
\(231\) | −262459. | −0.323617 | ||||||||
\(232\) | 779866. | − | 308217.i | 0.951262 | − | 0.375956i | ||||
\(233\) | −1.33810e6 | −1.61473 | −0.807363 | − | 0.590055i | \(-0.799106\pi\) | ||||
−0.807363 | + | 0.590055i | \(0.799106\pi\) | |||||||
\(234\) | −51703.0 | − | 226526.i | −0.0617271 | − | 0.270444i | ||||
\(235\) | −1.44470e6 | − | 695730.i | −1.70650 | − | 0.821809i | ||||
\(236\) | −553037. | + | 266329.i | −0.646359 | + | 0.311270i | ||||
\(237\) | −25990.0 | − | 113870.i | −0.0300563 | − | 0.131685i | ||||
\(238\) | 172388. | − | 755282.i | 0.197272 | − | 0.864305i | ||||
\(239\) | 862598. | + | 415405.i | 0.976818 | + | 0.470411i | 0.853010 | − | 0.521895i | \(-0.174775\pi\) |
0.123809 | + | 0.992306i | \(0.460489\pi\) | |||||||
\(240\) | −34726.6 | − | 43545.7i | −0.0389165 | − | 0.0487997i | ||||
\(241\) | −500955. | − | 628178.i | −0.555593 | − | 0.696691i | 0.422144 | − | 0.906529i | \(-0.361278\pi\) |
−0.977736 | + | 0.209838i | \(0.932706\pi\) | |||||||
\(242\) | −391365. | + | 188472.i | −0.429580 | + | 0.206875i | ||||
\(243\) | 573304. | − | 718900.i | 0.622829 | − | 0.781003i | ||||
\(244\) | 708500. | 0.761842 | ||||||||
\(245\) | 1.06298e6 | − | 1.33293e6i | 1.13138 | − | 1.41871i | ||||
\(246\) | −862.137 | + | 3777.27i | −0.000908319 | + | 0.00397960i | ||||
\(247\) | 69564.6 | − | 304782.i | 0.0725514 | − | 0.317868i | ||||
\(248\) | −548465. | + | 687753.i | −0.566265 | + | 0.710073i | ||||
\(249\) | −709440. | −0.725133 | ||||||||
\(250\) | −798879. | + | 1.00176e6i | −0.808409 | + | 1.01371i | ||||
\(251\) | −516574. | + | 248769.i | −0.517545 | + | 0.249237i | −0.674375 | − | 0.738389i | \(-0.735587\pi\) |
0.156830 | + | 0.987626i | \(0.449873\pi\) | |||||||
\(252\) | −418003. | − | 524160.i | −0.414647 | − | 0.519951i | ||||
\(253\) | 468328. | + | 587265.i | 0.459991 | + | 0.576810i | ||||
\(254\) | −650959. | − | 313485.i | −0.633095 | − | 0.304883i | ||||
\(255\) | 174851. | − | 766072.i | 0.168390 | − | 0.737767i | ||||
\(256\) | 242646. | + | 1.06310e6i | 0.231406 | + | 1.01385i | ||||
\(257\) | −1.22886e6 | + | 591790.i | −1.16057 | + | 0.558901i | −0.912192 | − | 0.409762i | \(-0.865612\pi\) |
−0.248377 | + | 0.968663i | \(0.579897\pi\) | |||||||
\(258\) | 315980. | + | 152168.i | 0.295536 | + | 0.142323i | ||||
\(259\) | 359827. | + | 1.57650e6i | 0.333307 | + | 1.46031i | ||||
\(260\) | −599760. | −0.550230 | ||||||||
\(261\) | −821946. | + | 324848.i | −0.746865 | + | 0.295175i | ||||
\(262\) | −846561. | −0.761913 | ||||||||
\(263\) | −15351.3 | − | 67258.2i | −0.0136853 | − | 0.0599592i | 0.967624 | − | 0.252395i | \(-0.0812183\pi\) |
−0.981310 | + | 0.192436i | \(0.938361\pi\) | |||||||
\(264\) | −237320. | − | 114287.i | −0.209567 | − | 0.100922i | ||||
\(265\) | 1.19967e6 | − | 577732.i | 1.04942 | − | 0.505373i | ||||
\(266\) | 144213. | + | 631838.i | 0.124968 | + | 0.547522i | ||||
\(267\) | −176214. | + | 772044.i | −0.151273 | + | 0.662771i | ||||
\(268\) | −738495. | − | 355640.i | −0.628074 | − | 0.302464i | ||||
\(269\) | −1.01667e6 | − | 1.27486e6i | −0.856638 | − | 1.07419i | −0.996465 | − | 0.0840138i | \(-0.973226\pi\) |
0.139827 | − | 0.990176i | \(-0.455345\pi\) | |||||||
\(270\) | 683923. | + | 857612.i | 0.570950 | + | 0.715948i | ||||
\(271\) | 1.60158e6 | − | 771281.i | 1.32473 | − | 0.637954i | 0.368239 | − | 0.929731i | \(-0.379961\pi\) |
0.956486 | + | 0.291777i | \(0.0942466\pi\) | |||||||
\(272\) | 58245.6 | − | 73037.7i | 0.0477354 | − | 0.0598583i | ||||
\(273\) | −415431. | −0.337359 | ||||||||
\(274\) | −73383.6 | + | 92020.1i | −0.0590503 | + | 0.0740468i | ||||
\(275\) | −305019. | + | 1.33637e6i | −0.243217 | + | 1.06560i | ||||
\(276\) | 104692. | − | 458687.i | 0.0827260 | − | 0.362446i | ||||
\(277\) | 806869. | − | 1.01178e6i | 0.631835 | − | 0.792296i | −0.358120 | − | 0.933675i | \(-0.616582\pi\) |
0.989956 | + | 0.141379i | \(0.0451537\pi\) | |||||||
\(278\) | 662196. | 0.513895 | ||||||||
\(279\) | 578059. | − | 724863.i | 0.444592 | − | 0.557500i | ||||
\(280\) | 3.04529e6 | − | 1.46653e6i | 2.32131 | − | 1.11788i | ||||
\(281\) | −301094. | − | 377559.i | −0.227476 | − | 0.285246i | 0.654975 | − | 0.755651i | \(-0.272679\pi\) |
−0.882451 | + | 0.470405i | \(0.844108\pi\) | |||||||
\(282\) | −255656. | − | 320582.i | −0.191440 | − | 0.240058i | ||||
\(283\) | −816777. | − | 393339.i | −0.606230 | − | 0.291945i | 0.105477 | − | 0.994422i | \(-0.466363\pi\) |
−0.711707 | + | 0.702477i | \(0.752077\pi\) | |||||||
\(284\) | −132766. | + | 581686.i | −0.0976767 | + | 0.427949i | ||||
\(285\) | 146273. | + | 640865.i | 0.106672 | + | 0.467363i | ||||
\(286\) | 220609. | − | 106240.i | 0.159481 | − | 0.0768019i | ||||
\(287\) | −25452.8 | − | 12257.4i | −0.0182403 | − | 0.00878404i | ||||
\(288\) | −244367. | − | 1.07064e6i | −0.173605 | − | 0.760612i | ||||
\(289\) | −101908. | −0.0717737 | ||||||||
\(290\) | −248148. | − | 1.62020e6i | −0.173267 | − | 1.13129i | ||||
\(291\) | −646925. | −0.447838 | ||||||||
\(292\) | −75187.6 | − | 329418.i | −0.0516047 | − | 0.226095i | ||||
\(293\) | 1.05964e6 | + | 510294.i | 0.721088 | + | 0.347258i | 0.758172 | − | 0.652055i | \(-0.226093\pi\) |
−0.0370842 | + | 0.999312i | \(0.511807\pi\) | |||||||
\(294\) | 392794. | − | 189160.i | 0.265031 | − | 0.127632i | ||||
\(295\) | 725783. | + | 3.17986e6i | 0.485570 | + | 2.12742i | ||||
\(296\) | −361124. | + | 1.58219e6i | −0.239567 | + | 1.04961i | ||||
\(297\) | 561582. | + | 270444.i | 0.369422 | + | 0.177904i | ||||
\(298\) | 155178. | + | 194587.i | 0.101225 | + | 0.126932i | ||||
\(299\) | 741290. | + | 929549.i | 0.479524 | + | 0.601304i | ||||
\(300\) | 773549. | − | 372522.i | 0.496232 | − | 0.238973i | ||||
\(301\) | −1.59441e6 | + | 1.99933e6i | −1.01434 | + | 1.27194i | ||||
\(302\) | 135119. | 0.0852508 | ||||||||
\(303\) | 554504. | − | 695327.i | 0.346975 | − | 0.435093i | ||||
\(304\) | −17390.1 | + | 76190.9i | −0.0107924 | + | 0.0472845i | ||||
\(305\) | 837726. | − | 3.67032e6i | 0.515647 | − | 2.25920i | ||||
\(306\) | −510919. | + | 640672.i | −0.311924 | + | 0.391140i | ||||
\(307\) | 639946. | 0.387523 | 0.193762 | − | 0.981049i | \(-0.437931\pi\) | ||||
0.193762 | + | 0.981049i | \(0.437931\pi\) | |||||||
\(308\) | 440503. | − | 552373.i | 0.264589 | − | 0.331784i | ||||
\(309\) | −139132. | + | 67002.5i | −0.0828956 | + | 0.0399204i | ||||
\(310\) | 1.07205e6 | + | 1.34431e6i | 0.633594 | + | 0.794501i | ||||
\(311\) | −572165. | − | 717473.i | −0.335444 | − | 0.420634i | 0.585290 | − | 0.810824i | \(-0.300981\pi\) |
−0.920734 | + | 0.390190i | \(0.872409\pi\) | |||||||
\(312\) | −375640. | − | 180899.i | −0.218467 | − | 0.105208i | ||||
\(313\) | 609381. | − | 2.66987e6i | 0.351583 | − | 1.54039i | −0.421942 | − | 0.906623i | \(-0.638652\pi\) |
0.773526 | − | 0.633765i | \(-0.218491\pi\) | |||||||
\(314\) | −331650. | − | 1.45305e6i | −0.189826 | − | 0.831683i | ||||
\(315\) | −3.20961e6 | + | 1.54566e6i | −1.82253 | + | 0.877685i | ||||
\(316\) | 283272. | + | 136417.i | 0.159583 | + | 0.0768510i | ||||
\(317\) | −360968. | − | 1.58150e6i | −0.201753 | − | 0.883938i | −0.969869 | − | 0.243627i | \(-0.921663\pi\) |
0.768116 | − | 0.640311i | \(-0.221195\pi\) | |||||||
\(318\) | 340496. | 0.188819 | ||||||||
\(319\) | −526496. | − | 768295.i | −0.289680 | − | 0.422718i | ||||
\(320\) | 2.29430e6 | 1.25249 | ||||||||
\(321\) | 21085.2 | + | 92380.5i | 0.0114213 | + | 0.0500401i | ||||
\(322\) | −2.22067e6 | − | 1.06942e6i | −1.19356 | − | 0.574789i | ||||
\(323\) | −993356. | + | 478375.i | −0.529784 | + | 0.255130i | ||||
\(324\) | 109618. | + | 480269.i | 0.0580124 | + | 0.254169i | ||||
\(325\) | −482797. | + | 2.11527e6i | −0.253545 | + | 1.11086i | ||||
\(326\) | −442062. | − | 212886.i | −0.230377 | − | 0.110944i | ||||
\(327\) | 860086. | + | 1.07851e6i | 0.444808 | + | 0.557771i | ||||
\(328\) | −17677.4 | − | 22166.7i | −0.00907263 | − | 0.0113767i | ||||
\(329\) | 2.69375e6 | − | 1.29724e6i | 1.37204 | − | 0.660740i | ||||
\(330\) | −321011. | + | 402535.i | −0.162269 | + | 0.203478i | ||||
\(331\) | −1.33380e6 | −0.669146 | −0.334573 | − | 0.942370i | \(-0.608592\pi\) | ||||
−0.334573 | + | 0.942370i | \(0.608592\pi\) | |||||||
\(332\) | 1.19070e6 | − | 1.49309e6i | 0.592868 | − | 0.743433i | ||||
\(333\) | 380610. | − | 1.66756e6i | 0.188091 | − | 0.824082i | ||||
\(334\) | 101418. | − | 444340.i | 0.0497448 | − | 0.217946i | ||||
\(335\) | −2.71555e6 | + | 3.40520e6i | −1.32205 | + | 1.65779i | ||||
\(336\) | 103851. | 0.0501839 | ||||||||
\(337\) | −1.56843e6 | + | 1.96675e6i | −0.752300 | + | 0.943354i | −0.999673 | − | 0.0255660i | \(-0.991861\pi\) |
0.247373 | + | 0.968920i | \(0.420433\pi\) | |||||||
\(338\) | −874399. | + | 421088.i | −0.416311 | + | 0.200485i | ||||
\(339\) | 468826. | + | 587889.i | 0.221571 | + | 0.277841i | ||||
\(340\) | 1.31882e6 | + | 1.65374e6i | 0.618710 | + | 0.775838i | ||||
\(341\) | 880281. | + | 423921.i | 0.409954 | + | 0.197423i | ||||
\(342\) | 152542. | − | 668331.i | 0.0705220 | − | 0.308977i | ||||
\(343\) | 17384.6 | + | 76166.8i | 0.00797864 | + | 0.0349567i | ||||
\(344\) | −2.31229e6 | + | 1.11354e6i | −1.05353 | + | 0.507353i | ||||
\(345\) | −2.25240e6 | − | 1.08470e6i | −1.01882 | − | 0.490638i | ||||
\(346\) | 61214.4 | + | 268198.i | 0.0274893 | + | 0.120438i | ||||
\(347\) | −1.40122e6 | −0.624714 | −0.312357 | − | 0.949965i | \(-0.601119\pi\) | ||||
−0.312357 | + | 0.949965i | \(0.601119\pi\) | |||||||
\(348\) | −170628. | + | 557869.i | −0.0755269 | + | 0.246936i | ||||
\(349\) | 603731. | 0.265326 | 0.132663 | − | 0.991161i | \(-0.457647\pi\) | ||||
0.132663 | + | 0.991161i | \(0.457647\pi\) | |||||||
\(350\) | −1.00088e6 | − | 4.38512e6i | −0.436727 | − | 1.91343i | ||||
\(351\) | 888897. | + | 428070.i | 0.385109 | + | 0.185459i | ||||
\(352\) | 1.04268e6 | − | 502128.i | 0.448533 | − | 0.216002i | ||||
\(353\) | 956575. | + | 4.19103e6i | 0.408585 | + | 1.79013i | 0.590746 | + | 0.806858i | \(0.298834\pi\) |
−0.182161 | + | 0.983269i | \(0.558309\pi\) | |||||||
\(354\) | −185595. | + | 813144.i | −0.0787151 | + | 0.344873i | ||||
\(355\) | 2.85639e6 | + | 1.37556e6i | 1.20295 | + | 0.579308i | ||||
\(356\) | −1.32910e6 | − | 1.66664e6i | −0.555817 | − | 0.696973i | ||||
\(357\) | 913495. | + | 1.14549e6i | 0.379346 | + | 0.475685i | ||||
\(358\) | 10757.3 | − | 5180.44i | 0.00443604 | − | 0.00213628i | ||||
\(359\) | 443403. | − | 556009.i | 0.181578 | − | 0.227691i | −0.682710 | − | 0.730690i | \(-0.739199\pi\) |
0.864287 | + | 0.502999i | \(0.167770\pi\) | |||||||
\(360\) | −3.57523e6 | −1.45395 | ||||||||
\(361\) | −968752. | + | 1.21478e6i | −0.391241 | + | 0.490601i | ||||
\(362\) | −104049. | + | 455869.i | −0.0417318 | + | 0.182839i | ||||
\(363\) | 182803. | − | 800913.i | 0.0728143 | − | 0.319020i | ||||
\(364\) | 697247. | − | 874320.i | 0.275825 | − | 0.345873i | ||||
\(365\) | −1.79542e6 | −0.705399 | ||||||||
\(366\) | 600233. | − | 752668.i | 0.234216 | − | 0.293698i | ||||
\(367\) | −2.20152e6 | + | 1.06020e6i | −0.853214 | + | 0.410886i | −0.808770 | − | 0.588126i | \(-0.799866\pi\) |
−0.0444443 | + | 0.999012i | \(0.514152\pi\) | |||||||
\(368\) | −185311. | − | 232373.i | −0.0713316 | − | 0.0894470i | ||||
\(369\) | 18631.2 | + | 23362.8i | 0.00712320 | + | 0.00893221i | ||||
\(370\) | 2.85800e6 | + | 1.37634e6i | 1.08532 | + | 0.522662i | ||||
\(371\) | −552464. | + | 2.42050e6i | −0.208386 | + | 0.913000i | ||||
\(372\) | −136177. | − | 596632.i | −0.0510209 | − | 0.223537i | ||||
\(373\) | 3.57149e6 | − | 1.71994e6i | 1.32916 | − | 0.640090i | 0.371618 | − | 0.928386i | \(-0.378803\pi\) |
0.957541 | + | 0.288296i | \(0.0930887\pi\) | |||||||
\(374\) | −778039. | − | 374684.i | −0.287622 | − | 0.138512i | ||||
\(375\) | −539216. | − | 2.36246e6i | −0.198009 | − | 0.867534i | ||||
\(376\) | 3.00061e6 | 1.09456 | ||||||||
\(377\) | −833360. | − | 1.21609e6i | −0.301981 | − | 0.440669i | ||||
\(378\) | −2.04530e6 | −0.736255 | ||||||||
\(379\) | 437805. | + | 1.91815e6i | 0.156561 | + | 0.685937i | 0.990890 | + | 0.134671i | \(0.0429978\pi\) |
−0.834330 | + | 0.551266i | \(0.814145\pi\) | |||||||
\(380\) | −1.59427e6 | − | 767760.i | −0.566373 | − | 0.272751i | ||||
\(381\) | 1.23110e6 | − | 592867.i | 0.434491 | − | 0.209240i | ||||
\(382\) | 66466.6 | + | 291209.i | 0.0233048 | + | 0.102105i | ||||
\(383\) | −107009. | + | 468839.i | −0.0372756 | + | 0.163315i | −0.990140 | − | 0.140081i | \(-0.955264\pi\) |
0.952864 | + | 0.303397i | \(0.0981207\pi\) | |||||||
\(384\) | −593730. | − | 285925.i | −0.205476 | − | 0.0989519i | ||||
\(385\) | −2.34067e6 | − | 2.93511e6i | −0.804801 | − | 1.00919i | ||||
\(386\) | 1.59860e6 | + | 2.00458e6i | 0.546098 | + | 0.684785i | ||||
\(387\) | 2.43706e6 | − | 1.17363e6i | 0.827159 | − | 0.398339i | ||||
\(388\) | 1.08578e6 | − | 1.36152e6i | 0.366152 | − | 0.459141i | ||||
\(389\) | 4.13231e6 | 1.38458 | 0.692292 | − | 0.721617i | \(-0.256601\pi\) | ||||
0.692292 | + | 0.721617i | \(0.256601\pi\) | |||||||
\(390\) | −508110. | + | 637149.i | −0.169159 | + | 0.212119i | ||||
\(391\) | 933056. | − | 4.08798e6i | 0.308650 | − | 1.35228i | ||||
\(392\) | −709919. | + | 3.11036e6i | −0.233342 | + | 1.02234i | ||||
\(393\) | 998224. | − | 1.25173e6i | 0.326022 | − | 0.408818i | ||||
\(394\) | 1.21154e6 | 0.393186 | ||||||||
\(395\) | 1.04163e6 | − | 1.30617e6i | 0.335909 | − | 0.421217i | ||||
\(396\) | −673310. | + | 324249.i | −0.215763 | + | 0.103906i | ||||
\(397\) | −179609. | − | 225222.i | −0.0571940 | − | 0.0717191i | 0.752412 | − | 0.658693i | \(-0.228890\pi\) |
−0.809606 | + | 0.586974i | \(0.800319\pi\) | |||||||
\(398\) | −158382. | − | 198604.i | −0.0501184 | − | 0.0628465i | ||||
\(399\) | −1.10429e6 | − | 531798.i | −0.347257 | − | 0.167230i | ||||
\(400\) | 120692. | − | 528785.i | 0.0377162 | − | 0.165245i | ||||
\(401\) | −144008. | − | 630941.i | −0.0447225 | − | 0.195942i | 0.947632 | − | 0.319366i | \(-0.103470\pi\) |
−0.992354 | + | 0.123423i | \(0.960613\pi\) | |||||||
\(402\) | −1.00346e6 | + | 483239.i | −0.309694 | + | 0.149141i | ||||
\(403\) | 1.39335e6 | + | 671000.i | 0.427363 | + | 0.205807i | ||||
\(404\) | 532727. | + | 2.33403e6i | 0.162387 | + | 0.711464i | ||||
\(405\) | 2.61760e6 | 0.792987 | ||||||||
\(406\) | 2.65038e6 | + | 1.52180e6i | 0.797981 | + | 0.458188i | ||||
\(407\) | 1.80251e6 | 0.539376 | ||||||||
\(408\) | 327198. | + | 1.43355e6i | 0.0973106 | + | 0.426345i | ||||
\(409\) | −3.82134e6 | − | 1.84026e6i | −1.12955 | − | 0.543965i | −0.226723 | − | 0.973959i | \(-0.572801\pi\) |
−0.902832 | + | 0.429994i | \(0.858516\pi\) | |||||||
\(410\) | −49930.4 | + | 24045.2i | −0.0146692 | + | 0.00706429i | ||||
\(411\) | −49531.4 | − | 217011.i | −0.0144636 | − | 0.0633691i | ||||
\(412\) | 92501.1 | − | 405274.i | 0.0268475 | − | 0.117627i | ||||
\(413\) | −5.47931e6 | − | 2.63869e6i | −1.58070 | − | 0.761227i | ||||
\(414\) | 1.62551e6 | + | 2.03833e6i | 0.466111 | + | 0.584485i | ||||
\(415\) | −6.32696e6 | − | 7.93375e6i | −1.80333 | − | 2.26130i | ||||
\(416\) | 1.65040e6 | − | 794790.i | 0.467579 | − | 0.225174i | ||||
\(417\) | −780829. | + | 979129.i | −0.219895 | + | 0.275740i | ||||
\(418\) | 722417. | 0.202231 | ||||||||
\(419\) | −105009. | + | 131677.i | −0.0292207 | + | 0.0366415i | −0.796227 | − | 0.604998i | \(-0.793174\pi\) |
0.767006 | + | 0.641639i | \(0.221745\pi\) | |||||||
\(420\) | −523244. | + | 2.29248e6i | −0.144738 | + | 0.634137i | ||||
\(421\) | 946372. | − | 4.14633e6i | 0.260230 | − | 1.14014i | −0.660773 | − | 0.750585i | \(-0.729772\pi\) |
0.921003 | − | 0.389555i | \(-0.127371\pi\) | |||||||
\(422\) | 1.69790e6 | − | 2.12910e6i | 0.464122 | − | 0.581990i | ||||
\(423\) | −3.16252e6 | −0.859374 | ||||||||
\(424\) | −1.55355e6 | + | 1.94809e6i | −0.419672 | + | 0.526253i | ||||
\(425\) | 6.89415e6 | − | 3.32005e6i | 1.85144 | − | 0.891604i | ||||
\(426\) | 505471. | + | 633840.i | 0.134950 | + | 0.169222i | ||||
\(427\) | 4.37664e6 | + | 5.48813e6i | 1.16164 | + | 1.45665i | ||||
\(428\) | −229814. | − | 110672.i | −0.0606410 | − | 0.0292032i | ||||
\(429\) | −103044. | + | 451467.i | −0.0270322 | + | 0.118436i | ||||
\(430\) | 1.11627e6 | + | 4.89071e6i | 0.291138 | + | 1.27556i | ||||
\(431\) | −1.44738e6 | + | 697021.i | −0.375309 | + | 0.180739i | −0.612023 | − | 0.790840i | \(-0.709644\pi\) |
0.236714 | + | 0.971579i | \(0.423930\pi\) | |||||||
\(432\) | −222210. | − | 107011.i | −0.0572869 | − | 0.0275879i | ||||
\(433\) | 1.41975e6 | + | 6.22033e6i | 0.363908 | + | 1.59439i | 0.743174 | + | 0.669099i | \(0.233320\pi\) |
−0.379265 | + | 0.925288i | \(0.623823\pi\) | |||||||
\(434\) | −3.20601e6 | −0.817036 | ||||||||
\(435\) | 2.68824e6 | + | 1.54354e6i | 0.681154 | + | 0.391107i | ||||
\(436\) | −3.71339e6 | −0.935523 | ||||||||
\(437\) | 780556. | + | 3.41984e6i | 0.195524 | + | 0.856648i | ||||
\(438\) | −413653. | − | 199205.i | −0.103027 | − | 0.0496151i | ||||
\(439\) | 1.85293e6 | − | 892323.i | 0.458878 | − | 0.220984i | −0.190140 | − | 0.981757i | \(-0.560894\pi\) |
0.649018 | + | 0.760773i | \(0.275180\pi\) | |||||||
\(440\) | −838386. | − | 3.67321e6i | −0.206449 | − | 0.904512i | ||||
\(441\) | 748225. | − | 3.27819e6i | 0.183204 | − | 0.802671i | ||||
\(442\) | −1.23151e6 | − | 593066.i | −0.299836 | − | 0.144393i | ||||
\(443\) | 4.28394e6 | + | 5.37189e6i | 1.03713 | + | 1.30052i | 0.952641 | + | 0.304098i | \(0.0983550\pi\) |
0.0844910 | + | 0.996424i | \(0.473074\pi\) | |||||||
\(444\) | −703931. | − | 882701.i | −0.169462 | − | 0.212499i | ||||
\(445\) | −1.02054e7 | + | 4.91465e6i | −2.44303 | + | 1.17650i | ||||
\(446\) | 1.46230e6 | − | 1.83367e6i | 0.348097 | − | 0.436500i | ||||
\(447\) | −470696. | −0.111422 | ||||||||
\(448\) | −2.66722e6 | + | 3.34459e6i | −0.627861 | + | 0.787313i | ||||
\(449\) | −583421. | + | 2.55613e6i | −0.136573 | + | 0.598367i | 0.859600 | + | 0.510968i | \(0.170713\pi\) |
−0.996173 | + | 0.0873995i | \(0.972144\pi\) | |||||||
\(450\) | −1.05868e6 | + | 4.63840e6i | −0.246453 | + | 1.07978i | ||||
\(451\) | −19634.1 | + | 24620.3i | −0.00454536 | + | 0.00569971i | ||||
\(452\) | −2.02414e6 | −0.466009 | ||||||||
\(453\) | −159326. | + | 199788.i | −0.0364787 | + | 0.0457429i | ||||
\(454\) | −3.92675e6 | + | 1.89102e6i | −0.894115 | + | 0.430583i | ||||
\(455\) | −3.70491e6 | − | 4.64582e6i | −0.838976 | − | 1.05204i | ||||
\(456\) | −766947. | − | 961721.i | −0.172724 | − | 0.216589i | ||||
\(457\) | 1.09868e6 | + | 529099.i | 0.246084 | + | 0.118508i | 0.552860 | − | 0.833274i | \(-0.313536\pi\) |
−0.306777 | + | 0.951781i | \(0.599251\pi\) | |||||||
\(458\) | 395088. | − | 1.73099e6i | 0.0880096 | − | 0.385595i | ||||
\(459\) | −774266. | − | 3.39228e6i | −0.171537 | − | 0.751554i | ||||
\(460\) | 6.06322e6 | − | 2.91989e6i | 1.33601 | − | 0.643387i | ||||
\(461\) | −262773. | − | 126545.i | −0.0575875 | − | 0.0277327i | 0.404868 | − | 0.914375i | \(-0.367317\pi\) |
−0.462456 | + | 0.886642i | \(0.653032\pi\) | |||||||
\(462\) | −213619. | − | 935928.i | −0.0465625 | − | 0.204003i | ||||
\(463\) | −2.07652e6 | −0.450178 | −0.225089 | − | 0.974338i | \(-0.572267\pi\) | ||||
−0.225089 | + | 0.974338i | \(0.572267\pi\) | |||||||
\(464\) | 208327. | + | 304004.i | 0.0449212 | + | 0.0655517i | ||||
\(465\) | −3.25182e6 | −0.697419 | ||||||||
\(466\) | −1.08910e6 | − | 4.77166e6i | −0.232329 | − | 1.01790i | ||||
\(467\) | 7.43327e6 | + | 3.57968e6i | 1.57720 | + | 0.759541i | 0.998434 | − | 0.0559492i | \(-0.0178185\pi\) |
0.578770 | + | 0.815491i | \(0.303533\pi\) | |||||||
\(468\) | −1.06574e6 | + | 513235.i | −0.224925 | + | 0.108318i | ||||
\(469\) | −1.80709e6 | − | 7.91738e6i | −0.379357 | − | 1.66207i | ||||
\(470\) | 1.30511e6 | − | 5.71806e6i | 0.272523 | − | 1.19400i | ||||
\(471\) | 2.53956e6 | + | 1.22299e6i | 0.527481 | + | 0.254022i | ||||
\(472\) | −3.80546e6 | − | 4.77190e6i | −0.786235 | − | 0.985908i | ||||
\(473\) | 1.77727e6 | + | 2.22863e6i | 0.365260 | + | 0.458021i | ||||
\(474\) | 384906. | − | 185361.i | 0.0786881 | − | 0.0378942i | ||||
\(475\) | −3.99114e6 | + | 5.00473e6i | −0.811639 | + | 1.01776i | ||||
\(476\) | −3.94398e6 | −0.797843 | ||||||||
\(477\) | 1.63738e6 | − | 2.05321e6i | 0.329498 | − | 0.413177i | ||||
\(478\) | −779253. | + | 3.41413e6i | −0.155994 | + | 0.683456i | ||||
\(479\) | −494436. | + | 2.16627e6i | −0.0984626 | + | 0.431393i | −0.999999 | − | 0.00131007i | \(-0.999583\pi\) |
0.901537 | + | 0.432703i | \(0.142440\pi\) | |||||||
\(480\) | −2.40151e6 | + | 3.01140e6i | −0.475753 | + | 0.596576i | ||||
\(481\) | 2.85309e6 | 0.562280 | ||||||||
\(482\) | 1.83235e6 | − | 2.29769e6i | 0.359245 | − | 0.450479i | ||||
\(483\) | 4.19976e6 | − | 2.02250e6i | 0.819138 | − | 0.394476i | ||||
\(484\) | 1.37880e6 | + | 1.72896e6i | 0.267539 | + | 0.335483i | ||||
\(485\) | −5.76943e6 | − | 7.23463e6i | −1.11373 | − | 1.39657i | ||||
\(486\) | 3.03022e6 | + | 1.45928e6i | 0.581947 | + | 0.280251i | ||||
\(487\) | 1.09245e6 | − | 4.78636e6i | 0.208728 | − | 0.914498i | −0.756686 | − | 0.653778i | \(-0.773183\pi\) |
0.965415 | − | 0.260720i | \(-0.0839598\pi\) | |||||||
\(488\) | 1.56763e6 | + | 6.86825e6i | 0.297985 | + | 1.30556i | ||||
\(489\) | 836033. | − | 402612.i | 0.158107 | − | 0.0761404i | ||||
\(490\) | 5.61842e6 | + | 2.70569e6i | 1.05712 | + | 0.509082i | ||||
\(491\) | 496776. | + | 2.17652e6i | 0.0929945 | + | 0.407436i | 0.999904 | − | 0.0138910i | \(-0.00442179\pi\) |
−0.906909 | + | 0.421327i | \(0.861565\pi\) | |||||||
\(492\) | 19724.4 | 0.00367359 | ||||||||
\(493\) | −1.52070e6 | + | 4.97193e6i | −0.281790 | + | 0.921315i | ||||
\(494\) | 1.14347e6 | 0.210819 | ||||||||
\(495\) | 883624. | + | 3.87141e6i | 0.162089 | + | 0.710160i | ||||
\(496\) | −348315. | − | 167740.i | −0.0635723 | − | 0.0306148i | ||||
\(497\) | −5.32595e6 | + | 2.56484e6i | −0.967177 | + | 0.465768i | ||||
\(498\) | −577425. | − | 2.52986e6i | −0.104333 | − | 0.457113i | ||||
\(499\) | 1.26773e6 | − | 5.55428e6i | 0.227916 | − | 0.998565i | −0.723420 | − | 0.690409i | \(-0.757431\pi\) |
0.951336 | − | 0.308157i | \(-0.0997121\pi\) | |||||||
\(500\) | 5.87706e6 | + | 2.83024e6i | 1.05132 | + | 0.506289i | ||||
\(501\) | 537419. | + | 673902.i | 0.0956574 | + | 0.119951i | ||||
\(502\) | −1.30756e6 | − | 1.63963e6i | −0.231580 | − | 0.290393i | ||||
\(503\) | −7.42752e6 | + | 3.57691e6i | −1.30895 | + | 0.630358i | −0.952666 | − | 0.304018i | \(-0.901672\pi\) |
−0.356287 | + | 0.934377i | \(0.615957\pi\) | |||||||
\(504\) | 4.15636e6 | − | 5.21192e6i | 0.728849 | − | 0.913947i | ||||
\(505\) | 1.27211e7 | 2.21971 | ||||||||
\(506\) | −1.71301e6 | + | 2.14804e6i | −0.297429 | + | 0.372964i | ||||
\(507\) | 408424. | − | 1.78942e6i | 0.0705653 | − | 0.309167i | ||||
\(508\) | −818489. | + | 3.58603e6i | −0.140719 | + | 0.616531i | ||||
\(509\) | 1.03373e6 | − | 1.29625e6i | 0.176853 | − | 0.221766i | −0.685502 | − | 0.728070i | \(-0.740417\pi\) |
0.862355 | + | 0.506304i | \(0.168989\pi\) | |||||||
\(510\) | 2.87413e6 | 0.489306 | ||||||||
\(511\) | 2.08726e6 | − | 2.61734e6i | 0.353609 | − | 0.443412i | ||||
\(512\) | −846970. | + | 407879.i | −0.142788 | + | 0.0687633i | ||||
\(513\) | 1.81487e6 | + | 2.27577e6i | 0.304475 | + | 0.381800i | ||||
\(514\) | −3.11052e6 | − | 3.90046e6i | −0.519308 | − | 0.651191i | ||||
\(515\) | −1.99011e6 | − | 958387.i | −0.330643 | − | 0.159229i | ||||
\(516\) | 397300. | − | 1.74069e6i | 0.0656893 | − | 0.287804i | ||||
\(517\) | −741605. | − | 3.24918e6i | −0.122024 | − | 0.534624i | ||||
\(518\) | −5.32895e6 | + | 2.56629e6i | −0.872604 | + | 0.420224i | ||||
\(519\) | −468741. | − | 225734.i | −0.0763861 | − | 0.0367856i | ||||
\(520\) | −1.32703e6 | − | 5.81412e6i | −0.215216 | − | 0.942921i | ||||
\(521\) | 6.77282e6 | 1.09314 | 0.546569 | − | 0.837414i | \(-0.315934\pi\) | ||||
0.546569 | + | 0.837414i | \(0.315934\pi\) | |||||||
\(522\) | −1.82740e6 | − | 2.66666e6i | −0.293534 | − | 0.428343i | ||||
\(523\) | −4.37171e6 | −0.698870 | −0.349435 | − | 0.936961i | \(-0.613627\pi\) | ||||
−0.349435 | + | 0.936961i | \(0.613627\pi\) | |||||||
\(524\) | 959020. | + | 4.20174e6i | 0.152581 | + | 0.668499i | ||||
\(525\) | 7.66407e6 | + | 3.69082e6i | 1.21356 | + | 0.584420i | ||||
\(526\) | 227348. | − | 109485.i | 0.0358284 | − | 0.0172540i | ||||
\(527\) | −1.21366e6 | − | 5.31741e6i | −0.190358 | − | 0.834014i | ||||
\(528\) | 25759.5 | − | 112860.i | 0.00402118 | − | 0.0176179i | ||||
\(529\) | −6.22051e6 | − | 2.99564e6i | −0.966467 | − | 0.465426i | ||||
\(530\) | 3.03663e6 | + | 3.80781e6i | 0.469572 | + | 0.588824i | ||||
\(531\) | 4.01080e6 | + | 5.02938e6i | 0.617298 | + | 0.774067i | ||||
\(532\) | 2.97263e6 | − | 1.43155e6i | 0.455368 | − | 0.219294i | ||||
\(533\) | −31077.6 | + | 38970.1i | −0.00473838 | + | 0.00594174i | ||||
\(534\) | −2.89653e6 | −0.439567 | ||||||||
\(535\) | −845059. | + | 1.05967e6i | −0.127645 | + | 0.160061i | ||||
\(536\) | 1.81360e6 | − | 7.94592e6i | 0.272666 | − | 1.19463i | ||||
\(537\) | −5024.63 | + | 22014.3i | −0.000751914 | + | 0.00329435i | ||||
\(538\) | 3.71866e6 | − | 4.66306e6i | 0.553900 | − | 0.694568i | ||||
\(539\) | 3.54348e6 | 0.525362 | ||||||||
\(540\) | 3.48181e6 | − | 4.36606e6i | 0.513832 | − | 0.644325i | ||||
\(541\) | −9.14476e6 | + | 4.40389e6i | −1.34332 | + | 0.646909i | −0.960853 | − | 0.277060i | \(-0.910640\pi\) |
−0.382467 | + | 0.923969i | \(0.624926\pi\) | |||||||
\(542\) | 4.05394e6 | + | 5.08348e6i | 0.592760 | + | 0.743298i | ||||
\(543\) | −551362. | − | 691386.i | −0.0802485 | − | 0.100628i | ||||
\(544\) | −5.82058e6 | − | 2.80305e6i | −0.843275 | − | 0.406100i | ||||
\(545\) | −4.39069e6 | + | 1.92369e7i | −0.633201 | + | 2.77424i | ||||
\(546\) | −338126. | − | 1.48143e6i | −0.0485397 | − | 0.212666i | ||||
\(547\) | 7.40118e6 | − | 3.56422e6i | 1.05763 | − | 0.509327i | 0.177528 | − | 0.984116i | \(-0.443190\pi\) |
0.880100 | + | 0.474789i | \(0.157476\pi\) | |||||||
\(548\) | 539855. | + | 259981.i | 0.0767938 | + | 0.0369819i | ||||
\(549\) | −1.65222e6 | − | 7.23885e6i | −0.233958 | − | 1.02504i | ||||
\(550\) | −5.01377e6 | −0.706736 | ||||||||
\(551\) | −658489. | − | 4.29938e6i | −0.0923995 | − | 0.603291i | ||||
\(552\) | 4.67819e6 | 0.653477 | ||||||||
\(553\) | 693165. | + | 3.03695e6i | 0.0963881 | + | 0.422304i | ||||
\(554\) | 4.26474e6 | + | 2.05379e6i | 0.590362 | + | 0.284303i | ||||
\(555\) | −5.40508e6 | + | 2.60295e6i | −0.744851 | + | 0.358701i | ||||
\(556\) | −750163. | − | 3.28668e6i | −0.102913 | − | 0.450890i | ||||
\(557\) | −1.01597e6 | + | 4.45127e6i | −0.138754 | + | 0.607920i | 0.856956 | + | 0.515389i | \(0.172353\pi\) |
−0.995710 | + | 0.0925303i | \(0.970504\pi\) | |||||||
\(558\) | 3.05535e6 | + | 1.47138e6i | 0.415409 | + | 0.200050i | ||||
\(559\) | 2.81315e6 | + | 3.52758e6i | 0.380770 | + | 0.477471i | ||||
\(560\) | 926171. | + | 1.16138e6i | 0.124802 | + | 0.156497i | ||||
\(561\) | 1.47144e6 | − | 708606.i | 0.197394 | − | 0.0950600i | ||||
\(562\) | 1.10131e6 | − | 1.38100e6i | 0.147085 | − | 0.184439i | ||||
\(563\) | −7.36492e6 | −0.979258 | −0.489629 | − | 0.871931i | \(-0.662868\pi\) | ||||
−0.489629 | + | 0.871931i | \(0.662868\pi\) | |||||||
\(564\) | −1.30153e6 | + | 1.63207e6i | −0.172289 | + | 0.216043i | ||||
\(565\) | −2.39333e6 | + | 1.04859e7i | −0.315415 | + | 1.38192i | ||||
\(566\) | 737859. | − | 3.23277e6i | 0.0968127 | − | 0.424164i | ||||
\(567\) | −3.04308e6 | + | 3.81590e6i | −0.397517 | + | 0.498470i | ||||
\(568\) | −5.93266e6 | −0.771576 | ||||||||
\(569\) | −3.85480e6 | + | 4.83377e6i | −0.499139 | + | 0.625900i | −0.966035 | − | 0.258412i | \(-0.916801\pi\) |
0.466896 | + | 0.884312i | \(0.345372\pi\) | |||||||
\(570\) | −2.16627e6 | + | 1.04322e6i | −0.279271 | + | 0.134490i | ||||
\(571\) | −7.96619e6 | − | 9.98929e6i | −1.02249 | − | 1.28217i | −0.958765 | − | 0.284199i | \(-0.908272\pi\) |
−0.0637278 | − | 0.997967i | \(-0.520299\pi\) | |||||||
\(572\) | −777215. | − | 974597.i | −0.0993233 | − | 0.124548i | ||||
\(573\) | −508959. | − | 245102.i | −0.0647584 | − | 0.0311860i | ||||
\(574\) | 22993.5 | − | 100741.i | 0.00291290 | − | 0.0127623i | ||||
\(575\) | −5.41727e6 | − | 2.37346e7i | −0.683299 | − | 2.99373i | ||||
\(576\) | 4.07685e6 | − | 1.96331e6i | 0.511999 | − | 0.246566i | ||||
\(577\) | −1.04433e7 | − | 5.02922e6i | −1.30586 | − | 0.628870i | −0.353957 | − | 0.935262i | \(-0.615164\pi\) |
−0.951906 | + | 0.306391i | \(0.900878\pi\) | |||||||
\(578\) | −82944.9 | − | 363405.i | −0.0103269 | − | 0.0452451i | ||||
\(579\) | −4.84897e6 | −0.601109 | ||||||||
\(580\) | −7.76042e6 | + | 3.06706e6i | −0.957889 | + | 0.378575i | ||||
\(581\) | 1.89211e7 | 2.32544 | ||||||||
\(582\) | −526543. | − | 2.30693e6i | −0.0644356 | − | 0.282311i | ||||
\(583\) | 2.49343e6 | + | 1.20077e6i | 0.303827 | + | 0.146315i | ||||
\(584\) | 3.02705e6 | − | 1.45775e6i | 0.367271 | − | 0.176868i | ||||
\(585\) | 1.39864e6 | + | 6.12784e6i | 0.168972 | + | 0.740317i | ||||
\(586\) | −957254. | + | 4.19400e6i | −0.115155 | + | 0.504527i | ||||
\(587\) | 1.99776e6 | + | 962070.i | 0.239303 | + | 0.115242i | 0.549692 | − | 0.835367i | \(-0.314745\pi\) |
−0.310389 | + | 0.950610i | \(0.600459\pi\) | |||||||
\(588\) | −1.38383e6 | − | 1.73527e6i | −0.165059 | − | 0.206977i | ||||
\(589\) | 2.84481e6 | + | 3.56728e6i | 0.337882 | + | 0.423691i | ||||
\(590\) | −1.07487e7 | + | 5.17628e6i | −1.27123 | + | 0.612193i | ||||
\(591\) | −1.42859e6 | + | 1.79140e6i | −0.168244 | + | 0.210971i | ||||
\(592\) | −713229. | −0.0836420 | ||||||||
\(593\) | 4.19945e6 | − | 5.26595e6i | 0.490406 | − | 0.614950i | −0.473629 | − | 0.880724i | \(-0.657056\pi\) |
0.964035 | + | 0.265775i | \(0.0856277\pi\) | |||||||
\(594\) | −507322. | + | 2.22272e6i | −0.0589953 | + | 0.258475i | ||||
\(595\) | −4.66334e6 | + | 2.04314e7i | −0.540014 | + | 2.36596i | ||||
\(596\) | 790002. | − | 990631.i | 0.0910987 | − | 0.114234i | ||||
\(597\) | 480414. | 0.0551671 | ||||||||
\(598\) | −2.71142e6 | + | 3.40002e6i | −0.310059 | + | 0.388802i | ||||
\(599\) | −4.19619e6 | + | 2.02078e6i | −0.477847 | + | 0.230119i | −0.657273 | − | 0.753653i | \(-0.728290\pi\) |
0.179426 | + | 0.983771i | \(0.442576\pi\) | |||||||
\(600\) | 5.32282e6 | + | 6.67460e6i | 0.603620 | + | 0.756915i | ||||
\(601\) | −295737. | − | 370843.i | −0.0333980 | − | 0.0418797i | 0.764852 | − | 0.644206i | \(-0.222812\pi\) |
−0.798250 | + | 0.602326i | \(0.794241\pi\) | |||||||
\(602\) | −8.42731e6 | − | 4.05838e6i | −0.947759 | − | 0.456417i | ||||
\(603\) | −1.91146e6 | + | 8.37467e6i | −0.214078 | + | 0.937938i | ||||
\(604\) | −153068. | − | 670636.i | −0.0170723 | − | 0.0747987i | ||||
\(605\) | 1.05870e7 | − | 5.09842e6i | 1.17594 | − | 0.566301i | ||||
\(606\) | 2.93086e6 | + | 1.41143e6i | 0.324200 | + | 0.156126i | ||||
\(607\) | −442013. | − | 1.93659e6i | −0.0486927 | − | 0.213336i | 0.944729 | − | 0.327853i | \(-0.106325\pi\) |
−0.993421 | + | 0.114517i | \(0.963468\pi\) | |||||||
\(608\) | 5.40447e6 | 0.592918 | ||||||||
\(609\) | −5.37535e6 | + | 2.12444e6i | −0.587305 | + | 0.232114i | ||||
\(610\) | 1.37702e7 | 1.49836 | ||||||||
\(611\) | −1.17385e6 | − | 5.14295e6i | −0.127206 | − | 0.557326i | ||||
\(612\) | 3.75864e6 | + | 1.81007e6i | 0.405651 | + | 0.195351i | ||||
\(613\) | −8.18883e6 | + | 3.94353e6i | −0.880178 | + | 0.423871i | −0.818690 | − | 0.574236i | \(-0.805299\pi\) |
−0.0614885 | + | 0.998108i | \(0.519585\pi\) | |||||||
\(614\) | 520863. | + | 2.28205e6i | 0.0557574 | + | 0.244289i | ||||
\(615\) | 23322.0 | − | 102180.i | 0.00248644 | − | 0.0108938i | ||||
\(616\) | 6.32941e6 | + | 3.04808e6i | 0.672065 | + | 0.323649i | ||||
\(617\) | 9.57185e6 | + | 1.20027e7i | 1.01224 | + | 1.26931i | 0.962710 | + | 0.270534i | \(0.0872003\pi\) |
0.0495281 | + | 0.998773i | \(0.484228\pi\) | |||||||
\(618\) | −352173. | − | 441611.i | −0.0370924 | − | 0.0465124i | ||||
\(619\) | 1.08689e7 | − | 5.23418e6i | 1.14014 | − | 0.549063i | 0.234083 | − | 0.972217i | \(-0.424791\pi\) |
0.906058 | + | 0.423153i | \(0.139077\pi\) | |||||||
\(620\) | 5.45775e6 | − | 6.84380e6i | 0.570209 | − | 0.715020i | ||||
\(621\) | −1.10703e7 | −1.15194 | ||||||||
\(622\) | 2.09281e6 | − | 2.62430e6i | 0.216897 | − | 0.271981i | ||||
\(623\) | 4.69970e6 | − | 2.05907e7i | 0.485121 | − | 2.12545i | ||||
\(624\) | 40773.3 | − | 178640.i | 0.00419193 | − | 0.0183661i | ||||
\(625\) | 8.62404e6 | − | 1.08142e7i | 0.883102 | − | 1.10737i | ||||
\(626\) | 1.00168e7 | 1.02162 | ||||||||
\(627\) | −851839. | + | 1.06817e6i | −0.0865344 | + | 0.108511i | ||||
\(628\) | −6.83624e6 | + | 3.29216e6i | −0.691701 | + | 0.333106i | ||||
\(629\) | −6.27369e6 | − | 7.86695e6i | −0.632261 | − | 0.792830i | ||||
\(630\) | −8.12419e6 | − | 1.01874e7i | −0.815509 | − | 1.02262i | ||||
\(631\) | −1.12042e7 | − | 5.39567e6i | −1.12023 | − | 0.539475i | −0.220268 | − | 0.975439i | \(-0.570693\pi\) |
−0.899964 | + | 0.435964i | \(0.856407\pi\) | |||||||
\(632\) | −695663. | + | 3.04790e6i | −0.0692797 | + | 0.303534i | ||||
\(633\) | 1.14603e6 | + | 5.02107e6i | 0.113680 | + | 0.498066i | ||||
\(634\) | 5.34584e6 | − | 2.57442e6i | 0.528194 | − | 0.254365i | ||||
\(635\) | 1.76093e7 | + | 8.48021e6i | 1.73304 | + | 0.834589i | ||||
\(636\) | −385729. | − | 1.68999e6i | −0.0378128 | − | 0.165669i | ||||
\(637\) | 5.60878e6 | 0.547671 | ||||||||
\(638\) | 2.31122e6 | − | 2.50281e6i | 0.224796 | − | 0.243431i | ||||
\(639\) | 6.25278e6 | 0.605788 | ||||||||
\(640\) | −2.09749e6 | − | 9.18970e6i | −0.202418 | − | 0.886852i | ||||
\(641\) | −1.17892e7 | − | 5.67739e6i | −1.13329 | − | 0.545762i | −0.229315 | − | 0.973352i | \(-0.573648\pi\) |
−0.903973 | + | 0.427590i | \(0.859363\pi\) | |||||||
\(642\) | −312267. | + | 150380.i | −0.0299012 | + | 0.0143997i | ||||
\(643\) | −1.65091e6 | − | 7.23311e6i | −0.157469 | − | 0.689918i | −0.990594 | − | 0.136833i | \(-0.956308\pi\) |
0.833125 | − | 0.553085i | \(-0.186550\pi\) | |||||||
\(644\) | −2.79219e6 | + | 1.22334e7i | −0.265295 | + | 1.16233i | ||||
\(645\) | −8.54770e6 | − | 4.11636e6i | −0.809003 | − | 0.389595i | ||||
\(646\) | −2.51439e6 | − | 3.15295e6i | −0.237057 | − | 0.297260i | ||||
\(647\) | −8.10875e6 | − | 1.01681e7i | −0.761541 | − | 0.954942i | 0.238327 | − | 0.971185i | \(-0.423401\pi\) |
−0.999868 | + | 0.0162429i | \(0.994829\pi\) | |||||||
\(648\) | −4.41322e6 | + | 2.12530e6i | −0.412875 | + | 0.198830i | ||||
\(649\) | −4.22668e6 | + | 5.30009e6i | −0.393902 | + | 0.493937i | ||||
\(650\) | −7.93601e6 | −0.736748 | ||||||||
\(651\) | 3.78038e6 | − | 4.74044e6i | 0.349609 | − | 0.438396i | ||||
\(652\) | −555831. | + | 2.43525e6i | −0.0512063 | + | 0.224350i | ||||
\(653\) | −2.29681e6 | + | 1.00630e7i | −0.210786 | + | 0.923513i | 0.753249 | + | 0.657736i | \(0.228486\pi\) |
−0.964034 | + | 0.265777i | \(0.914371\pi\) | |||||||
\(654\) | −3.14594e6 | + | 3.94489e6i | −0.287612 | + | 0.360653i | ||||
\(655\) | 2.29007e7 | 2.08567 | ||||||||
\(656\) | 7768.93 | − | 9741.93i | 0.000704858 | − | 0.000883864i | ||||
\(657\) | −3.19038e6 | + | 1.53641e6i | −0.288356 | + | 0.138865i | ||||
\(658\) | 6.81845e6 | + | 8.55006e6i | 0.613932 | + | 0.769847i | ||||
\(659\) | 4.95822e6 | + | 6.21742e6i | 0.444747 | + | 0.557694i | 0.952787 | − | 0.303639i | \(-0.0982015\pi\) |
−0.508041 | + | 0.861333i | \(0.669630\pi\) | |||||||
\(660\) | 2.36156e6 | + | 1.13727e6i | 0.211027 | + | 0.101625i | ||||
\(661\) | −3.69734e6 | + | 1.61991e7i | −0.329144 | + | 1.44207i | 0.491622 | + | 0.870809i | \(0.336404\pi\) |
−0.820766 | + | 0.571265i | \(0.806453\pi\) | |||||||
\(662\) | −1.08560e6 | − | 4.75633e6i | −0.0962777 | − | 0.421820i | ||||
\(663\) | 2.32905e6 | − | 1.12161e6i | 0.205776 | − | 0.0990967i | ||||
\(664\) | 1.71087e7 | + | 8.23913e6i | 1.50590 | + | 0.725205i | ||||
\(665\) | −3.90116e6 | − | 1.70921e7i | −0.342090 | − | 1.49879i | ||||
\(666\) | 6.25630e6 | 0.546553 | ||||||||
\(667\) | 1.43452e7 | + | 8.23680e6i | 1.24851 | + | 0.716876i | ||||
\(668\) | −2.32029e6 | −0.201187 | ||||||||
\(669\) | 987006. | + | 4.32435e6i | 0.0852618 | + | 0.373556i | ||||
\(670\) | −1.43532e7 | − | 6.91212e6i | −1.23527 | − | 0.594873i | ||||
\(671\) | 7.04978e6 | − | 3.39500e6i | 0.604463 | − | 0.291094i | ||||
\(672\) | −1.59811e6 | − | 7.00177e6i | −0.136516 | − | 0.598115i | ||||
\(673\) | 2.64153e6 | − | 1.15733e7i | 0.224811 | − | 0.984961i | −0.728991 | − | 0.684524i | \(-0.760010\pi\) |
0.953802 | − | 0.300437i | \(-0.0971326\pi\) | |||||||
\(674\) | −8.29001e6 | − | 3.99226e6i | −0.702919 | − | 0.338508i | ||||
\(675\) | −1.25957e7 | − | 1.57945e7i | −1.06405 | − | 1.33428i | ||||
\(676\) | 3.08054e6 | + | 3.86288e6i | 0.259275 | + | 0.325121i | ||||
\(677\) | 4.63184e6 | − | 2.23057e6i | 0.388402 | − | 0.187045i | −0.229484 | − | 0.973313i | \(-0.573704\pi\) |
0.617886 | + | 0.786268i | \(0.287989\pi\) | |||||||
\(678\) | −1.71483e6 | + | 2.15033e6i | −0.143267 | + | 0.179651i | ||||
\(679\) | 1.72537e7 | 1.43618 | ||||||||
\(680\) | −1.31135e7 | + | 1.64438e7i | −1.08754 | + | 1.36374i | ||||
\(681\) | 1.83415e6 | − | 8.03593e6i | 0.151554 | − | 0.664000i | ||||
\(682\) | −795227. | + | 3.48412e6i | −0.0654682 | + | 0.286835i | ||||
\(683\) | −3.60300e6 | + | 4.51801e6i | −0.295537 | + | 0.370592i | −0.907325 | − | 0.420430i | \(-0.861879\pi\) |
0.611788 | + | 0.791022i | \(0.290451\pi\) | |||||||
\(684\) | −3.48994e6 | −0.285218 | ||||||||
\(685\) | 1.98513e6 | − | 2.48927e6i | 0.161645 | − | 0.202696i | ||||
\(686\) | −257461. | + | 123987.i | −0.0208882 | + | 0.0100592i | ||||
\(687\) | 2.09359e6 | + | 2.62528e6i | 0.169239 | + | 0.212219i | ||||
\(688\) | −703244. | − | 881840.i | −0.0566415 | − | 0.0710262i | ||||
\(689\) | 3.94672e6 | + | 1.90064e6i | 0.316729 | + | 0.152529i | ||||
\(690\) | 2.03477e6 | − | 8.91491e6i | 0.162702 | − | 0.712843i | ||||
\(691\) | 2.49779e6 | + | 1.09435e7i | 0.199004 | + | 0.871892i | 0.971531 | + | 0.236911i | \(0.0761349\pi\) |
−0.772528 | + | 0.634981i | \(0.781008\pi\) | |||||||
\(692\) | 1.26180e6 | − | 607651.i | 0.100167 | − | 0.0482380i | ||||
\(693\) | −6.67093e6 | − | 3.21255e6i | −0.527659 | − | 0.254107i | ||||
\(694\) | −1.14047e6 | − | 4.99674e6i | −0.0898848 | − | 0.393811i | ||||
\(695\) | −1.79133e7 | −1.40674 | ||||||||
\(696\) | −5.78556e6 | − | 419733.i | −0.452712 | − | 0.0328435i | ||||
\(697\) | 175791. | 0.0137061 | ||||||||
\(698\) | 491387. | + | 2.15291e6i | 0.0381755 | + | 0.167258i | ||||
\(699\) | 8.33964e6 | + | 4.01616e6i | 0.645587 | + | 0.310898i | ||||
\(700\) | −2.06309e7 | + | 9.93530e6i | −1.59137 | + | 0.766366i | ||||
\(701\) | −1.54227e6 | − | 6.75712e6i | −0.118540 | − | 0.519358i | −0.998978 | − | 0.0451967i | \(-0.985609\pi\) |
0.880438 | − | 0.474161i | \(-0.157249\pi\) | |||||||
\(702\) | −803011. | + | 3.51822e6i | −0.0615005 | + | 0.269451i | ||||
\(703\) | 7.58403e6 | + | 3.65227e6i | 0.578777 | + | 0.278724i | ||||
\(704\) | 2.97313e6 | + | 3.72818e6i | 0.226090 | + | 0.283508i | ||||
\(705\) | 6.91585e6 | + | 8.67221e6i | 0.524050 | + | 0.657138i | ||||
\(706\) | −1.41666e7 | + | 6.82229e6i | −1.06968 | + | 0.515132i | ||||
\(707\) | −1.47889e7 | + | 1.85446e7i | −1.11272 | + | 1.39531i | ||||
\(708\) | 4.24613e6 | 0.318354 | ||||||||
\(709\) | 6.64956e6 | − | 8.33828e6i | 0.496795 | − | 0.622961i | −0.468708 | − | 0.883353i | \(-0.655280\pi\) |
0.965503 | + | 0.260392i | \(0.0838518\pi\) | |||||||
\(710\) | −2.58040e6 | + | 1.13055e7i | −0.192106 | + | 0.841672i | ||||
\(711\) | 733200. | − | 3.21236e6i | 0.0543937 | − | 0.238314i | ||||
\(712\) | 1.32157e7 | − | 1.65720e7i | 0.976992 | − | 1.22511i | ||||
\(713\) | −1.73526e7 | −1.27833 | ||||||||
\(714\) | −3.34130e6 | + | 4.18985e6i | −0.245284 | + | 0.307577i | ||||
\(715\) | −5.96779e6 | + | 2.87394e6i | −0.436564 | + | 0.210238i | ||||
\(716\) | −37898.4 | − | 47523.1i | −0.00276273 | − | 0.00346435i | ||||
\(717\) | −4.12931e6 | − | 5.17799e6i | −0.299971 | − | 0.376152i | ||||
\(718\) | 2.34362e6 | + | 1.12863e6i | 0.169659 | + | 0.0817034i | ||||
\(719\) | 2.97772e6 | − | 1.30463e7i | 0.214814 | − | 0.941160i | −0.746431 | − | 0.665463i | \(-0.768234\pi\) |
0.961245 | − | 0.275697i | \(-0.0889087\pi\) | |||||||
\(720\) | −349638. | − | 1.53186e6i | −0.0251355 | − | 0.110126i | ||||
\(721\) | 3.71071e6 | − | 1.78698e6i | 0.265839 | − | 0.128021i | ||||
\(722\) | −5.12038e6 | − | 2.46584e6i | −0.365560 | − | 0.176045i | ||||
\(723\) | 1.23677e6 | + | 5.41865e6i | 0.0879922 | + | 0.385519i | ||||
\(724\) | 2.38049e6 | 0.168779 | ||||||||
\(725\) | 4.57009e6 | + | 2.98388e7i | 0.322909 | + | 2.10832i | ||||
\(726\) | 3.00484e6 | 0.211583 | ||||||||
\(727\) | 465418. | + | 2.03913e6i | 0.0326594 | + | 0.143090i | 0.988629 | − | 0.150376i | \(-0.0480484\pi\) |
−0.955970 | + | 0.293466i | \(0.905191\pi\) | |||||||
\(728\) | 1.00185e7 | + | 4.82464e6i | 0.700604 | + | 0.337393i | ||||
\(729\) | 61115.0 | − | 29431.4i | 0.00425921 | − | 0.00205113i | ||||
\(730\) | −1.46132e6 | − | 6.40248e6i | −0.101494 | − | 0.444673i | ||||
\(731\) | 3.54089e6 | − | 1.55136e7i | 0.245086 | − | 1.07379i | ||||
\(732\) | −4.41569e6 | − | 2.12648e6i | −0.304594 | − | 0.146685i | ||||
\(733\) | 6.97499e6 | + | 8.74636e6i | 0.479495 | + | 0.601267i | 0.961467 | − | 0.274919i | \(-0.0886510\pi\) |
−0.481973 | + | 0.876186i | \(0.660080\pi\) | |||||||
\(734\) | −5.57252e6 | − | 6.98772e6i | −0.381778 | − | 0.478735i | ||||
\(735\) | −1.06256e7 | + | 5.11703e6i | −0.725498 | + | 0.349381i | ||||
\(736\) | −1.28152e7 | + | 1.60697e7i | −0.872027 | + | 1.09349i | ||||
\(737\) | −9.05240e6 | −0.613896 | ||||||||
\(738\) | −68147.5 | + | 85454.3i | −0.00460584 | + | 0.00577554i | ||||
\(739\) | −3.24205e6 | + | 1.42044e7i | −0.218378 | + | 0.956776i | 0.740299 | + | 0.672278i | \(0.234684\pi\) |
−0.958677 | + | 0.284498i | \(0.908173\pi\) | |||||||
\(740\) | 3.59353e6 | − | 1.57443e7i | 0.241236 | − | 1.05692i | ||||
\(741\) | −1.34833e6 | + | 1.69075e6i | −0.0902091 | + | 0.113119i | ||||
\(742\) | −9.08118e6 | −0.605525 | ||||||||
\(743\) | 5.92342e6 | − | 7.42774e6i | 0.393641 | − | 0.493611i | −0.545033 | − | 0.838414i | \(-0.683483\pi\) |
0.938675 | + | 0.344804i | \(0.112054\pi\) | |||||||
\(744\) | 5.48249e6 | − | 2.64023e6i | 0.363116 | − | 0.174868i | ||||
\(745\) | −4.19778e6 | − | 5.26385e6i | −0.277095 | − | 0.347466i | ||||
\(746\) | 9.04019e6 | + | 1.13360e7i | 0.594745 | + | 0.745786i | ||||
\(747\) | −1.80319e7 | − | 8.68370e6i | −1.18233 | − | 0.569381i | ||||
\(748\) | −978274. | + | 4.28610e6i | −0.0639303 | + | 0.280097i | ||||
\(749\) | −562352. | − | 2.46382e6i | −0.0366272 | − | 0.160474i | ||||
\(750\) | 7.98566e6 | − | 3.84569e6i | 0.518391 | − | 0.249644i | ||||
\(751\) | 1.95071e7 | + | 9.39414e6i | 1.26210 | + | 0.607795i | 0.940729 | − | 0.339159i | \(-0.110142\pi\) |
0.321370 | + | 0.946954i | \(0.395857\pi\) | |||||||
\(752\) | 293443. | + | 1.28566e6i | 0.0189225 | + | 0.0829051i | ||||
\(753\) | 3.96618e6 | 0.254909 | ||||||||
\(754\) | 3.65829e6 | − | 3.96156e6i | 0.234342 | − | 0.253769i | ||||
\(755\) | −3.65515e6 | −0.233366 | ||||||||
\(756\) | 2.31700e6 | + | 1.01515e7i | 0.147442 | + | 0.645987i | ||||
\(757\) | 6.37155e6 | + | 3.06838e6i | 0.404116 | + | 0.194612i | 0.624890 | − | 0.780713i | \(-0.285144\pi\) |
−0.220774 | + | 0.975325i | \(0.570858\pi\) | |||||||
\(758\) | −6.48378e6 | + | 3.12242e6i | −0.409879 | + | 0.197387i | ||||
\(759\) | −1.15622e6 | − | 5.06574e6i | −0.0728512 | − | 0.319182i | ||||
\(760\) | 3.91522e6 | − | 1.71537e7i | 0.245880 | − | 1.07727i | ||||
\(761\) | −4.29465e6 | − | 2.06820e6i | −0.268823 | − | 0.129458i | 0.294617 | − | 0.955616i | \(-0.404808\pi\) |
−0.563440 | + | 0.826157i | \(0.690522\pi\) | |||||||
\(762\) | 3.11618e6 | + | 3.90756e6i | 0.194417 | + | 0.243791i | ||||
\(763\) | −2.29388e7 | − | 2.87644e7i | −1.42646 | − | 1.78873i | ||||
\(764\) | 1.37006e6 | − | 659788.i | 0.0849195 | − | 0.0408951i | ||||
\(765\) | 1.38211e7 | − | 1.73311e7i | 0.853863 | − | 1.07071i | ||||
\(766\) | −1.75898e6 | −0.108315 | ||||||||
\(767\) | −6.69018e6 | + | 8.38922e6i | −0.410629 | + | 0.514912i | ||||
\(768\) | 1.67851e6 | − | 7.35402e6i | 0.102688 | − | 0.449906i | ||||
\(769\) | 4.83025e6 | − | 2.11627e7i | 0.294546 | − | 1.29049i | −0.583577 | − | 0.812058i | \(-0.698347\pi\) |
0.878124 | − | 0.478434i | \(-0.158795\pi\) | |||||||
\(770\) | 8.56148e6 | − | 1.07358e7i | 0.520382 | − | 0.652538i | ||||
\(771\) | 9.43503e6 | 0.571620 | ||||||||
\(772\) | 8.13836e6 | − | 1.02052e7i | 0.491466 | − | 0.616279i | ||||
\(773\) | −4.15087e6 | + | 1.99895e6i | −0.249857 | + | 0.120325i | −0.554621 | − | 0.832103i | \(-0.687137\pi\) |
0.304764 | + | 0.952428i | \(0.401422\pi\) | |||||||
\(774\) | 6.16871e6 | + | 7.73532e6i | 0.370120 | + | 0.464115i | ||||
\(775\) | −1.97437e7 | − | 2.47579e7i | −1.18080 | − | 1.48067i | ||||
\(776\) | 1.56011e7 | + | 7.51310e6i | 0.930039 | + | 0.447883i | ||||
\(777\) | 2.48910e6 | − | 1.09055e7i | 0.147908 | − | 0.648025i | ||||
\(778\) | 3.36336e6 | + | 1.47358e7i | 0.199216 | + | 0.872822i | ||||
\(779\) | −132496. | + | 63806.7i | −0.00782275 | + | 0.00376724i | ||||
\(780\) | 3.73797e6 | + | 1.80011e6i | 0.219988 | + | 0.105941i | ||||
\(781\) | 1.46627e6 | + | 6.42413e6i | 0.0860172 | + | 0.376866i | ||||
\(782\) | 1.53372e7 | 0.896868 | ||||||||
\(783\) | 1.36907e7 | + | 993237.i | 0.798033 | + | 0.0578960i | ||||
\(784\) | −1.40211e6 | −0.0814688 | ||||||||
\(785\) | 8.97160e6 | + | 3.93072e7i | 0.519632 | + | 2.27666i | ||||
\(786\) | 5.27615e6 | + | 2.54086e6i | 0.304622 | + | 0.146698i | ||||
\(787\) | 1.80104e7 | − | 8.67334e6i | 1.03654 | − | 0.499171i | 0.163358 | − | 0.986567i | \(-0.447767\pi\) |
0.873181 | + | 0.487396i | \(0.162053\pi\) | |||||||
\(788\) | −1.37248e6 | − | 6.01325e6i | −0.0787393 | − | 0.344980i | ||||
\(789\) | −106192. | + | 465259.i | −0.00607296 | + | 0.0266074i | ||||
\(790\) | 5.50560e6 | + | 2.65136e6i | 0.313860 | + | 0.151147i | ||||
\(791\) | −1.25038e7 | − | 1.56792e7i | −0.710559 | − | 0.891012i | ||||
\(792\) | −4.63307e6 | − | 5.80968e6i | −0.262455 | − | 0.329109i | ||||
\(793\) | 1.11587e7 | − | 5.37375e6i | 0.630131 | − | 0.303455i | ||||
\(794\) | 656955. | − | 823796.i | 0.0369815 | − | 0.0463734i | ||||
\(795\) | −9.21091e6 | −0.516874 | ||||||||
\(796\) | −806312. | + | 1.01108e6i | −0.0451046 | + | 0.0565593i | ||||
\(797\) | −590148. | + | 2.58561e6i | −0.0329090 | + | 0.144184i | −0.988713 | − | 0.149820i | \(-0.952131\pi\) |
0.955804 | + | 0.294004i | \(0.0949878\pi\) | |||||||
\(798\) | 997593. | − | 4.37074e6i | 0.0554557 | − | 0.242967i | ||||
\(799\) | −1.15997e7 | + | 1.45456e7i | −0.642806 | + | 0.806054i | ||||
\(800\) | −3.75085e7 | −2.07207 | ||||||||
\(801\) | −1.39288e7 | + | 1.74662e7i | −0.767066 | + | 0.961871i | ||||
\(802\) | 2.13273e6 | − | 1.02707e6i | 0.117084 | − | 0.0563849i | ||||
\(803\) | −2.32665e6 | − | 2.91752e6i | −0.127333 | − | 0.159671i | ||||
\(804\) | 3.53522e6 | + | 4.43302e6i | 0.192875 | + | 0.241858i | ||||
\(805\) | 6.00724e7 | + | 2.89293e7i | 3.26727 | + | 1.57343i | ||||
\(806\) | −1.25872e6 | + | 5.51481e6i | −0.0682483 | + | 0.299015i | ||||
\(807\) | 2.50997e6 | + | 1.09969e7i | 0.135670 | + | 0.594410i | ||||
\(808\) | −2.14475e7 | + | 1.03286e7i | −1.15571 | + | 0.556561i | ||||
\(809\) | −3.57496e6 | − | 1.72161e6i | −0.192044 | − | 0.0924833i | 0.335391 | − | 0.942079i | \(-0.391132\pi\) |
−0.527434 | + | 0.849596i | \(0.676846\pi\) | |||||||
\(810\) | 2.13051e6 | + | 9.33437e6i | 0.114096 | + | 0.499888i | ||||
\(811\) | −2.49507e6 | −0.133208 | −0.0666042 | − | 0.997779i | \(-0.521216\pi\) | ||||
−0.0666042 | + | 0.997779i | \(0.521216\pi\) | |||||||
\(812\) | 4.55071e6 | − | 1.48786e7i | 0.242208 | − | 0.791903i | ||||
\(813\) | −1.22967e7 | −0.652472 | ||||||||
\(814\) | 1.46709e6 | + | 6.42775e6i | 0.0776062 | + | 0.340015i | ||||
\(815\) | 1.19584e7 | + | 5.75886e6i | 0.630636 | + | 0.303699i | ||||
\(816\) | −582228. | + | 280386.i | −0.0306103 | + | 0.0147411i | ||||
\(817\) | 2.96216e6 | + | 1.29781e7i | 0.155258 | + | 0.680229i | ||||
\(818\) | 3.45212e6 | − | 1.51247e7i | 0.180386 | − | 0.790322i | ||||
\(819\) | −1.05590e7 | − | 5.08496e6i | −0.550066 | − | 0.264898i | ||||
\(820\) | 175907. | + | 220580.i | 0.00913583 | + | 0.0114560i | ||||
\(821\) | −3.40316e6 | − | 4.26743e6i | −0.176208 | − | 0.220958i | 0.685883 | − | 0.727712i | \(-0.259416\pi\) |
−0.862090 | + | 0.506755i | \(0.830845\pi\) | |||||||
\(822\) | 733548. | − | 353258.i | 0.0378659 | − | 0.0182353i | ||||
\(823\) | 1.36134e7 | − | 1.70706e7i | 0.700593 | − | 0.878516i | −0.296475 | − | 0.955041i | \(-0.595811\pi\) |
0.997068 | + | 0.0765248i | \(0.0243824\pi\) | |||||||
\(824\) | 4.13342e6 | 0.212076 | ||||||||
\(825\) | 5.91199e6 | − | 7.41340e6i | 0.302412 | − | 0.379213i | ||||
\(826\) | 4.94989e6 | − | 2.16869e7i | 0.252433 | − | 1.10598i | ||||
\(827\) | −7.77341e6 | + | 3.40575e7i | −0.395228 | + | 1.73161i | 0.250569 | + | 0.968099i | \(0.419382\pi\) |
−0.645797 | + | 0.763509i | \(0.723475\pi\) | |||||||
\(828\) | 8.27539e6 | − | 1.03770e7i | 0.419481 | − | 0.526013i | ||||
\(829\) | −1.47087e7 | −0.743341 | −0.371670 | − | 0.928365i | \(-0.621215\pi\) | ||||
−0.371670 | + | 0.928365i | \(0.621215\pi\) | |||||||
\(830\) | 2.31422e7 | − | 2.90193e7i | 1.16603 | − | 1.46215i | ||||
\(831\) | −8.06553e6 | + | 3.88415e6i | −0.405163 | + | 0.195116i | ||||
\(832\) | 4.70600e6 | + | 5.90113e6i | 0.235691 | + | 0.295547i | ||||
\(833\) | −1.23332e7 | − | 1.54653e7i | −0.615833 | − | 0.772230i | ||||
\(834\) | −4.12710e6 | − | 1.98751e6i | −0.205461 | − | 0.0989450i | ||||
\(835\) | −2.74349e6 | + | 1.20200e7i | −0.136172 | + | 0.596608i | ||||
\(836\) | −818384. | − | 3.58558e6i | −0.0404988 | − | 0.177437i | ||||
\(837\) | −1.29735e7 | + | 6.24772e6i | −0.640095 | + | 0.308253i | ||||
\(838\) | −555027. | − | 267287.i | −0.0273026 | − | 0.0131482i | ||||
\(839\) | −5.28810e6 | − | 2.31687e7i | −0.259355 | − | 1.13631i | −0.921943 | − | 0.387325i | \(-0.873399\pi\) |
0.662588 | − | 0.748984i | \(-0.269458\pi\) | |||||||
\(840\) | −2.33812e7 | −1.14332 | ||||||||
\(841\) | −1.70019e7 | − | 1.14736e7i | −0.828909 | − | 0.559384i | ||||
\(842\) | 1.55561e7 | 0.756171 | ||||||||
\(843\) | 743348. | + | 3.25682e6i | 0.0360266 | + | 0.157843i | ||||
\(844\) | −1.24908e7 | − | 6.01527e6i | −0.603581 | − | 0.290669i | ||||
\(845\) | 2.36537e7 | − | 1.13910e7i | 1.13961 | − | 0.548809i | ||||
\(846\) | −2.57403e6 | − | 1.12775e7i | −0.123648 | − | 0.541737i | ||||
\(847\) | −4.87543e6 | + | 2.13607e7i | −0.233509 | + | 1.02307i | ||||
\(848\) | −986618. | − | 475130.i | −0.0471150 | − | 0.0226894i | ||||
\(849\) | 3.90996e6 | + | 4.90293e6i | 0.186167 | + | 0.233446i | ||||
\(850\) | 1.74506e7 | + | 2.18823e7i | 0.828442 | + | 1.03883i | ||||
\(851\) | −2.88431e7 | + | 1.38901e7i | −1.36527 | + | 0.657478i | ||||
\(852\) | 2.57332e6 | − | 3.22684e6i | 0.121449 | − | 0.152293i | ||||
\(853\) | −1.84400e6 | −0.0867736 | −0.0433868 | − | 0.999058i | \(-0.513815\pi\) | ||||
−0.0433868 | + | 0.999058i | \(0.513815\pi\) | |||||||
\(854\) | −1.60085e7 | + | 2.00740e7i | −0.751112 | + | 0.941865i | ||||
\(855\) | −4.12648e6 | + | 1.80793e7i | −0.193048 | + | 0.845798i | ||||
\(856\) | 564379. | − | 2.47271e6i | 0.0263261 | − | 0.115342i | ||||
\(857\) | 1.35192e6 | − | 1.69526e6i | 0.0628783 | − | 0.0788468i | −0.749398 | − | 0.662120i | \(-0.769657\pi\) |
0.812276 | + | 0.583273i | \(0.198228\pi\) | |||||||
\(858\) | −1.69380e6 | −0.0785497 | ||||||||
\(859\) | 3.96059e6 | − | 4.96643e6i | 0.183137 | − | 0.229647i | −0.681785 | − | 0.731553i | \(-0.738796\pi\) |
0.864922 | + | 0.501905i | \(0.167367\pi\) | |||||||
\(860\) | 2.30095e7 | − | 1.10808e7i | 1.06087 | − | 0.510887i | ||||
\(861\) | 121844. | + | 152788.i | 0.00560140 | + | 0.00702393i | ||||
\(862\) | −3.66362e6 | − | 4.59404e6i | −0.167935 | − | 0.210584i | ||||
\(863\) | 3.97230e6 | + | 1.91296e6i | 0.181558 | + | 0.0874336i | 0.522455 | − | 0.852667i | \(-0.325016\pi\) |
−0.340897 | + | 0.940101i | \(0.610731\pi\) | |||||||
\(864\) | −3.79532e6 | + | 1.66284e7i | −0.172967 | + | 0.757820i | ||||
\(865\) | −1.65594e6 | − | 7.25513e6i | −0.0752494 | − | 0.329689i | ||||
\(866\) | −2.10261e7 | + | 1.01257e7i | −0.952719 | + | 0.458805i | ||||
\(867\) | 635139. | + | 305867.i | 0.0286960 | + | 0.0138193i | ||||
\(868\) | 3.63191e6 | + | 1.59124e7i | 0.163620 | + | 0.716864i | ||||
\(869\) | 3.47232e6 | 0.155981 | ||||||||
\(870\) | −3.31627e6 | + | 1.08426e7i | −0.148543 | + | 0.485663i | ||||
\(871\) | −1.43285e7 | −0.639965 | ||||||||
\(872\) | −8.21628e6 | − | 3.59979e7i | −0.365918 | − | 1.60319i | ||||
\(873\) | −1.64429e7 | − | 7.91849e6i | −0.730203 | − | 0.351647i | ||||
\(874\) | −1.15598e7 | + | 5.56693e6i | −0.511886 | + | 0.246511i | ||||
\(875\) | 1.43811e7 | + | 6.30078e7i | 0.634998 | + | 2.78211i | ||||
\(876\) | −520110. | + | 2.27875e6i | −0.0229000 | + | 0.100331i | ||||
\(877\) | −1.30005e7 | − | 6.26073e6i | −0.570771 | − | 0.274869i | 0.126156 | − | 0.992010i | \(-0.459736\pi\) |
−0.696928 | + | 0.717141i | \(0.745450\pi\) | |||||||
\(878\) | 4.69015e6 | + | 5.88127e6i | 0.205329 | + | 0.257475i | ||||
\(879\) | −5.07254e6 | − | 6.36077e6i | −0.221439 | − | 0.277675i | ||||
\(880\) | 1.49185e6 | − | 718439.i | 0.0649411 | − | 0.0312740i | ||||
\(881\) | 7.64902e6 | − | 9.59157e6i | 0.332021 | − | 0.416342i | −0.587598 | − | 0.809153i | \(-0.699926\pi\) |
0.919619 | + | 0.392812i | \(0.128498\pi\) | |||||||
\(882\) | 1.22990e7 | 0.532352 | ||||||||
\(883\) | 1.77520e7 | − | 2.22603e7i | 0.766204 | − | 0.960790i | −0.233729 | − | 0.972302i | \(-0.575093\pi\) |
0.999934 | + | 0.0115118i | \(0.00366439\pi\) | |||||||
\(884\) | −1.54846e6 | + | 6.78423e6i | −0.0666451 | + | 0.291991i | ||||
\(885\) | 5.02060e6 | − | 2.19967e7i | 0.215475 | − | 0.944059i | ||||
\(886\) | −1.56694e7 | + | 1.96488e7i | −0.670607 | + | 0.840914i | ||||
\(887\) | −2.33849e7 | −0.997992 | −0.498996 | − | 0.866604i | \(-0.666298\pi\) | ||||
−0.498996 | + | 0.866604i | \(0.666298\pi\) | |||||||
\(888\) | 6.99945e6 | − | 8.77703e6i | 0.297873 | − | 0.373521i | ||||
\(889\) | −3.28339e7 | + | 1.58120e7i | −1.39338 | + | 0.671015i | ||||
\(890\) | −2.58320e7 | − | 3.23923e7i | −1.09316 | − | 1.37077i | ||||
\(891\) | 3.39209e6 | + | 4.25355e6i | 0.143144 | + | 0.179497i | ||||
\(892\) | −1.07576e7 | − | 5.18060e6i | −0.452694 | − | 0.218006i | ||||
\(893\) | 3.46326e6 | − | 1.51735e7i | 0.145330 | − | 0.636734i | ||||
\(894\) | −383107. | − | 1.67850e6i | −0.0160316 | − | 0.0702390i | ||||
\(895\) | −291000. | + | 140138.i | −0.0121433 | + | 0.00584788i | ||||
\(896\) | 1.58350e7 | + | 7.62574e6i | 0.658944 | + | 0.317331i | ||||
\(897\) | −1.83012e6 | − | 8.01827e6i | −0.0759448 | − | 0.332736i | ||||
\(898\) | −9.59003e6 | −0.396852 | ||||||||
\(899\) | 2.14602e7 | + | 1.55690e6i | 0.885592 | + | 0.0642483i | ||||
\(900\) | 2.42211e7 | 0.996753 | ||||||||
\(901\) | −3.43775e6 | − | 1.50618e7i | −0.141079 | − | 0.618108i | ||||
\(902\) | −103777. | − | 49976.2i | −0.00424701 | − | 0.00204525i | ||||
\(903\) | 1.59378e7 | − | 7.67526e6i | 0.650444 | − | 0.313237i | ||||
\(904\) | −4.47863e6 | − | 1.96222e7i | −0.182274 | − | 0.798593i | ||||
\(905\) | 2.81467e6 | − | 1.23319e7i | 0.114237 | − | 0.500505i | ||||
\(906\) | −842121. | − | 405544.i | −0.0340843 | − | 0.0164141i | ||||
\(907\) | 2.04552e7 | + | 2.56501e7i | 0.825632 | + | 1.03531i | 0.998729 | + | 0.0504048i | \(0.0160511\pi\) |
−0.173097 | + | 0.984905i | \(0.555377\pi\) | |||||||
\(908\) | 1.38341e7 | + | 1.73474e7i | 0.556848 | + | 0.698265i | ||||
\(909\) | 2.26048e7 | − | 1.08859e7i | 0.907384 | − | 0.436973i | ||||
\(910\) | 1.35515e7 | − | 1.69930e7i | 0.542480 | − | 0.680248i | ||||
\(911\) | −6.51098e6 | −0.259926 | −0.129963 | − | 0.991519i | \(-0.541486\pi\) | ||||
−0.129963 | + | 0.991519i | \(0.541486\pi\) | |||||||
\(912\) | 337061. | − | 422662.i | 0.0134191 | − | 0.0168270i | ||||
\(913\) | 4.69322e6 | − | 2.05623e7i | 0.186335 | − | 0.816386i | ||||
\(914\) | −992529. | + | 4.34855e6i | −0.0392986 | + | 0.172179i | ||||
\(915\) | −1.62371e7 | + | 2.03607e7i | −0.641146 | + | 0.803972i | ||||
\(916\) | −9.03902e6 | −0.355945 | ||||||||
\(917\) | −2.66230e7 | + | 3.33842e7i | −1.04552 | + | 1.31105i | ||||
\(918\) | 1.14667e7 | − | 5.52207e6i | 0.449088 | − | 0.216269i | ||||
\(919\) | 2.97543e7 | + | 3.73107e7i | 1.16215 | + | 1.45729i | 0.864516 | + | 0.502605i | \(0.167625\pi\) |
0.297630 | + | 0.954681i | \(0.403804\pi\) | |||||||
\(920\) | 4.17212e7 | + | 5.23167e7i | 1.62513 | + | 2.03784i | ||||
\(921\) | −3.98843e6 | − | 1.92073e6i | −0.154936 | − | 0.0746134i | ||||
\(922\) | 237383. | − | 1.04004e6i | 0.00919651 | − | 0.0402925i | ||||
\(923\) | 2.32087e6 | + | 1.01684e7i | 0.0896699 | + | 0.392869i | ||||
\(924\) | −4.40330e6 | + | 2.12052e6i | −0.169667 | + | 0.0817075i | ||||
\(925\) | −5.26352e7 | − | 2.53478e7i | −2.02265 | − | 0.974059i | ||||
\(926\) | −1.69011e6 | − | 7.40488e6i | −0.0647722 | − | 0.283786i | ||||
\(927\) | −4.35646e6 | −0.166508 | ||||||||
\(928\) | 1.72904e7 | − | 1.87238e7i | 0.659077 | − | 0.713713i | ||||
\(929\) | 5.64896e6 | 0.214748 | 0.107374 | − | 0.994219i | \(-0.465756\pi\) | ||||
0.107374 | + | 0.994219i | \(0.465756\pi\) | |||||||
\(930\) | −2.64671e6 | − | 1.15960e7i | −0.100346 | − | 0.439643i | ||||
\(931\) | 1.49091e7 | + | 7.17986e6i | 0.563739 | + | 0.271483i | ||||
\(932\) | −2.24494e7 | + | 1.08111e7i | −0.846576 | + | 0.407689i | ||||
\(933\) | 1.41258e6 | + | 6.18891e6i | 0.0531261 | + | 0.232761i | ||||
\(934\) | −6.71506e6 | + | 2.94206e7i | −0.251874 | + | 1.10353i | ||||
\(935\) | 2.10470e7 | + | 1.01357e7i | 0.787340 | + | 0.379163i | ||||
\(936\) | −7.33342e6 | − | 9.19582e6i | −0.273600 | − | 0.343084i | ||||
\(937\) | −2.42715e6 | − | 3.04355e6i | −0.0903125 | − | 0.113248i | 0.734622 | − | 0.678477i | \(-0.237360\pi\) |
−0.824935 | + | 0.565228i | \(0.808788\pi\) | |||||||
\(938\) | 2.67626e7 | − | 1.28882e7i | 0.993163 | − | 0.478282i | ||||
\(939\) | −1.18113e7 | + | 1.48109e7i | −0.437152 | + | 0.548172i | ||||
\(940\) | −2.98589e7 | −1.10219 | ||||||||
\(941\) | 2.72095e7 | − | 3.41196e7i | 1.00172 | − | 1.25612i | 0.0352381 | − | 0.999379i | \(-0.488781\pi\) |
0.966481 | − | 0.256737i | \(-0.0826475\pi\) | |||||||
\(942\) | −2.29419e6 | + | 1.00515e7i | −0.0842368 | + | 0.369066i | ||||
\(943\) | 124453. | − | 545264.i | 0.00455750 | − | 0.0199677i | ||||
\(944\) | 1.67244e6 | − | 2.09718e6i | 0.0610831 | − | 0.0765958i | ||||
\(945\) | 5.53283e7 | 2.01543 | ||||||||
\(946\) | −6.50075e6 | + | 8.15168e6i | −0.236176 | + | 0.296155i | ||||
\(947\) | 2.29899e7 | − | 1.10713e7i | 0.833031 | − | 0.401167i | 0.0317800 | − | 0.999495i | \(-0.489882\pi\) |
0.801251 | + | 0.598328i | \(0.204168\pi\) | |||||||
\(948\) | −1.35604e6 | − | 1.70042e6i | −0.0490063 | − | 0.0614519i | ||||
\(949\) | −3.68272e6 | − | 4.61799e6i | −0.132740 | − | 0.166451i | ||||
\(950\) | −2.10953e7 | − | 1.01590e7i | −0.758364 | − | 0.365209i | ||||
\(951\) | −2.49700e6 | + | 1.09400e7i | −0.0895295 | + | 0.392255i | ||||
\(952\) | −8.72650e6 | − | 3.82333e7i | −0.312067 | − | 1.36725i | ||||
\(953\) | 1.81592e7 | − | 8.74501e6i | 0.647686 | − | 0.311909i | −0.0810436 | − | 0.996711i | \(-0.525825\pi\) |
0.728730 | + | 0.684801i | \(0.240111\pi\) | |||||||
\(954\) | 8.65442e6 | + | 4.16775e6i | 0.307870 | + | 0.148262i | ||||
\(955\) | −1.79802e6 | − | 7.87762e6i | −0.0637948 | − | 0.279503i | ||||
\(956\) | 1.78281e7 | 0.630901 | ||||||||
\(957\) | 975405. | + | 6.36858e6i | 0.0344275 | + | 0.224783i | ||||
\(958\) | −8.12734e6 | −0.286111 | ||||||||
\(959\) | 1.32102e6 | + | 5.78777e6i | 0.0463835 | + | 0.203219i | ||||
\(960\) | −1.42991e7 | − | 6.88608e6i | −0.500761 | − | 0.241154i | ||||
\(961\) | 5.45796e6 | − | 2.62841e6i | 0.190643 | − | 0.0918090i | ||||
\(962\) | 2.32218e6 | + | 1.01741e7i | 0.0809017 | + | 0.354454i | ||||
\(963\) | −594832. | + | 2.60613e6i | −0.0206694 | + | 0.0905587i | ||||
\(964\) | −1.34799e7 | − | 6.49158e6i | −0.467191 | − | 0.224987i | ||||
\(965\) | −4.32443e7 | − | 5.42266e7i | −1.49489 | − | 1.87454i | ||||
\(966\) | 1.06305e7 | + | 1.33302e7i | 0.366531 | + | 0.459615i | ||||
\(967\) | 2.98001e7 | − | 1.43509e7i | 1.02483 | − | 0.493531i | 0.155536 | − | 0.987830i | \(-0.450290\pi\) |
0.869292 | + | 0.494299i | \(0.164575\pi\) | |||||||
\(968\) | −1.37099e7 | + | 1.71917e7i | −0.470268 | + | 0.589698i | ||||
\(969\) | 7.62683e6 | 0.260936 | ||||||||
\(970\) | 2.11029e7 | − | 2.64622e7i | 0.720132 | − | 0.903017i | ||||
\(971\) | 7.00411e6 | − | 3.06870e7i | 0.238399 | − | 1.04450i | −0.704051 | − | 0.710149i | \(-0.748627\pi\) |
0.942450 | − | 0.334346i | \(-0.108515\pi\) | |||||||
\(972\) | 3.81007e6 | − | 1.66930e7i | 0.129350 | − | 0.566721i | ||||
\(973\) | 2.08250e7 | − | 2.61138e7i | 0.705186 | − | 0.884275i | ||||
\(974\) | 1.79573e7 | 0.606518 | ||||||||
\(975\) | 9.35776e6 | − | 1.17343e7i | 0.315254 | − | 0.395316i | ||||
\(976\) | −2.78950e6 | + | 1.34335e6i | −0.0937351 | + | 0.0451405i | ||||
\(977\) | 2.34820e7 | + | 2.94455e7i | 0.787044 | + | 0.986922i | 0.999951 | + | 0.00984960i | \(0.00313528\pi\) |
−0.212907 | + | 0.977072i | \(0.568293\pi\) | |||||||
\(978\) | 2.11618e6 | + | 2.65360e6i | 0.0707465 | + | 0.0887133i | ||||
\(979\) | −2.12111e7 | − | 1.02147e7i | −0.707305 | − | 0.340620i | ||||
\(980\) | 7.06438e6 | − | 3.09511e7i | 0.234968 | − | 1.02946i | ||||
\(981\) | 8.65962e6 | + | 3.79403e7i | 0.287294 | + | 1.25872i | ||||
\(982\) | −7.35714e6 | + | 3.54301e6i | −0.243461 | + | 0.117245i | ||||
\(983\) | −1.97348e7 | − | 9.50378e6i | −0.651402 | − | 0.313699i | 0.0788401 | − | 0.996887i | \(-0.474878\pi\) |
−0.730242 | + | 0.683189i | \(0.760593\pi\) | |||||||
\(984\) | 43642.4 | + | 191210.i | 0.00143688 | + | 0.00629538i | ||||
\(985\) | −3.27739e7 | −1.07631 | ||||||||
\(986\) | −1.89676e7 | − | 1.37607e6i | −0.621328 | − | 0.0450763i | ||||
\(987\) | −2.06822e7 | −0.675777 | ||||||||
\(988\) | −1.29537e6 | − | 5.67541e6i | −0.0422185 | − | 0.184971i | ||||
\(989\) | −4.56130e7 | − | 2.19661e7i | −1.48285 | − | 0.714105i | ||||
\(990\) | −1.30863e7 | + | 6.30201e6i | −0.424353 | + | 0.204358i | ||||
\(991\) | 1.20075e7 | + | 5.26083e7i | 0.388390 | + | 1.70165i | 0.670202 | + | 0.742179i | \(0.266207\pi\) |
−0.281812 | + | 0.959470i | \(0.590935\pi\) | |||||||
\(992\) | −5.94917e6 | + | 2.60650e7i | −0.191945 | + | 0.840967i | ||||
\(993\) | 8.31284e6 | + | 4.00325e6i | 0.267532 | + | 0.128837i | ||||
\(994\) | −1.34811e7 | − | 1.69048e7i | −0.432772 | − | 0.542679i | ||||
\(995\) | 4.28445e6 | + | 5.37253e6i | 0.137195 | + | 0.172037i | ||||
\(996\) | −1.19024e7 | + | 5.73187e6i | −0.380176 | + | 0.183083i | ||||
\(997\) | −4.35582e6 | + | 5.46203e6i | −0.138782 | + | 0.174027i | −0.846365 | − | 0.532603i | \(-0.821214\pi\) |
0.707583 | + | 0.706630i | \(0.249785\pi\) | |||||||
\(998\) | 2.08384e7 | 0.662274 | ||||||||
\(999\) | −1.65632e7 | + | 2.07696e7i | −0.525085 | + | 0.658436i |
(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 | 29.6.d.a.7.8 | ✓ | 66 | |
29.5 | even | 14 | 841.6.a.h.1.22 | 33 | |||
29.24 | even | 7 | 841.6.a.i.1.12 | 33 | |||
29.25 | even | 7 | inner | 29.6.d.a.25.8 | yes | 66 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.6.d.a.7.8 | ✓ | 66 | 1.1 | even | 1 | trivial | |
29.6.d.a.25.8 | yes | 66 | 29.25 | even | 7 | inner | |
841.6.a.h.1.22 | 33 | 29.5 | even | 14 | |||
841.6.a.i.1.12 | 33 | 29.24 | even | 7 |