Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(4,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.e (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 3 x^{19} + 142 x^{18} - 389 x^{17} + 14927 x^{16} - 6599 x^{15} + 1399353 x^{14} + \cdots + 25735126080400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{4}\cdot 11^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 25.4 | ||
Root | \(3.88934 + 2.82577i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.25 |
Dual form | 33.6.e.a.4.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.08033 | − | 2.23799i | 0.544530 | − | 0.395624i | −0.281235 | − | 0.959639i | \(-0.590744\pi\) |
0.825765 | + | 0.564015i | \(0.190744\pi\) | |||||||
\(3\) | 2.78115 | + | 8.55951i | 0.178411 | + | 0.549093i | ||||
\(4\) | −5.40872 | + | 16.6463i | −0.169023 | + | 0.520198i | ||||
\(5\) | 20.5684 | + | 14.9438i | 0.367938 | + | 0.267323i | 0.756356 | − | 0.654161i | \(-0.226978\pi\) |
−0.388417 | + | 0.921484i | \(0.626978\pi\) | |||||||
\(6\) | 27.7229 | + | 20.1419i | 0.314385 | + | 0.228414i | ||||
\(7\) | −26.9084 | + | 82.8155i | −0.207560 | + | 0.638803i | 0.792039 | + | 0.610471i | \(0.209020\pi\) |
−0.999599 | + | 0.0283322i | \(0.990980\pi\) | |||||||
\(8\) | 58.2442 | + | 179.257i | 0.321757 | + | 0.990266i | ||||
\(9\) | −65.5304 | + | 47.6106i | −0.269672 | + | 0.195928i | ||||
\(10\) | 96.8014 | 0.306113 | ||||||||
\(11\) | 375.272 | − | 142.203i | 0.935114 | − | 0.354346i | ||||
\(12\) | −157.527 | −0.315792 | ||||||||
\(13\) | 270.435 | − | 196.482i | 0.443817 | − | 0.322452i | −0.343333 | − | 0.939214i | \(-0.611556\pi\) |
0.787150 | + | 0.616762i | \(0.211556\pi\) | |||||||
\(14\) | 102.454 | + | 315.320i | 0.139703 | + | 0.429963i | ||||
\(15\) | −70.7078 | + | 217.616i | −0.0811408 | + | 0.249726i | ||||
\(16\) | 127.460 | + | 92.6052i | 0.124473 | + | 0.0904347i | ||||
\(17\) | −125.262 | − | 91.0081i | −0.105123 | − | 0.0763761i | 0.533982 | − | 0.845496i | \(-0.320695\pi\) |
−0.639105 | + | 0.769120i | \(0.720695\pi\) | |||||||
\(18\) | −95.3030 | + | 293.312i | −0.0693306 | + | 0.213378i | ||||
\(19\) | −153.046 | − | 471.028i | −0.0972609 | − | 0.299338i | 0.890575 | − | 0.454836i | \(-0.150302\pi\) |
−0.987836 | + | 0.155497i | \(0.950302\pi\) | |||||||
\(20\) | −360.008 | + | 261.561i | −0.201251 | + | 0.146217i | ||||
\(21\) | −783.697 | −0.387793 | ||||||||
\(22\) | 837.712 | − | 1277.89i | 0.369010 | − | 0.562906i | ||||
\(23\) | −1320.61 | −0.520542 | −0.260271 | − | 0.965536i | \(-0.583812\pi\) | ||||
−0.260271 | + | 0.965536i | \(0.583812\pi\) | |||||||
\(24\) | −1372.37 | + | 997.084i | −0.486343 | + | 0.353349i | ||||
\(25\) | −765.937 | − | 2357.31i | −0.245100 | − | 0.754340i | ||||
\(26\) | 393.302 | − | 1210.46i | 0.114102 | − | 0.351170i | ||||
\(27\) | −589.773 | − | 428.495i | −0.155695 | − | 0.113119i | ||||
\(28\) | −1233.04 | − | 895.853i | −0.297222 | − | 0.215944i | ||||
\(29\) | −329.136 | + | 1012.98i | −0.0726743 | + | 0.223668i | −0.980796 | − | 0.195039i | \(-0.937517\pi\) |
0.908121 | + | 0.418707i | \(0.137517\pi\) | |||||||
\(30\) | 269.220 | + | 828.573i | 0.0546139 | + | 0.168084i | ||||
\(31\) | 8149.64 | − | 5921.06i | 1.52312 | − | 1.10661i | 0.563206 | − | 0.826317i | \(-0.309568\pi\) |
0.959914 | − | 0.280295i | \(-0.0904322\pi\) | |||||||
\(32\) | −5431.57 | −0.937670 | ||||||||
\(33\) | 2260.88 | + | 2816.66i | 0.361404 | + | 0.450245i | ||||
\(34\) | −589.523 | −0.0874587 | ||||||||
\(35\) | −1791.04 | + | 1301.27i | −0.247136 | + | 0.179555i | ||||
\(36\) | −438.107 | − | 1348.35i | −0.0563409 | − | 0.173399i | ||||
\(37\) | 1421.10 | − | 4373.70i | 0.170655 | − | 0.525224i | −0.828753 | − | 0.559615i | \(-0.810949\pi\) |
0.999408 | + | 0.0343910i | \(0.0109492\pi\) | |||||||
\(38\) | −1525.59 | − | 1108.40i | −0.171387 | − | 0.124520i | ||||
\(39\) | 2433.91 | + | 1768.34i | 0.256238 | + | 0.186168i | ||||
\(40\) | −1480.80 | + | 4557.42i | −0.146334 | + | 0.450370i | ||||
\(41\) | 4828.95 | + | 14862.0i | 0.448635 | + | 1.38076i | 0.878448 | + | 0.477838i | \(0.158579\pi\) |
−0.429813 | + | 0.902918i | \(0.641421\pi\) | |||||||
\(42\) | −2414.04 | + | 1753.90i | −0.211165 | + | 0.153420i | ||||
\(43\) | 11364.2 | 0.937276 | 0.468638 | − | 0.883390i | \(-0.344745\pi\) | ||||
0.468638 | + | 0.883390i | \(0.344745\pi\) | |||||||
\(44\) | 337.418 | + | 7016.05i | 0.0262747 | + | 0.546337i | ||||
\(45\) | −2059.34 | −0.151599 | ||||||||
\(46\) | −4067.92 | + | 2955.52i | −0.283451 | + | 0.205939i | ||||
\(47\) | 2162.73 | + | 6656.19i | 0.142809 | + | 0.439522i | 0.996723 | − | 0.0808930i | \(-0.0257772\pi\) |
−0.853913 | + | 0.520415i | \(0.825777\pi\) | |||||||
\(48\) | −438.169 | + | 1348.54i | −0.0274497 | + | 0.0844816i | ||||
\(49\) | 7462.80 | + | 5422.04i | 0.444029 | + | 0.322606i | ||||
\(50\) | −7634.97 | − | 5547.13i | −0.431899 | − | 0.313793i | ||||
\(51\) | 430.612 | − | 1325.29i | 0.0231825 | − | 0.0713485i | ||||
\(52\) | 1808.00 | + | 5564.47i | 0.0927238 | + | 0.285375i | ||||
\(53\) | 11665.3 | − | 8475.36i | 0.570437 | − | 0.414447i | −0.264827 | − | 0.964296i | \(-0.585315\pi\) |
0.835264 | + | 0.549849i | \(0.185315\pi\) | |||||||
\(54\) | −2775.66 | −0.129534 | ||||||||
\(55\) | 9843.80 | + | 2683.11i | 0.438789 | + | 0.119600i | ||||
\(56\) | −16412.6 | −0.699369 | ||||||||
\(57\) | 3606.12 | − | 2620.00i | 0.147012 | − | 0.106811i | ||||
\(58\) | 1253.18 | + | 3856.90i | 0.0489153 | + | 0.150546i | ||||
\(59\) | 8691.58 | − | 26749.9i | 0.325064 | − | 1.00044i | −0.646348 | − | 0.763043i | \(-0.723705\pi\) |
0.971412 | − | 0.237401i | \(-0.0762954\pi\) | |||||||
\(60\) | −3240.08 | − | 2354.05i | −0.116192 | − | 0.0844186i | ||||
\(61\) | −40661.1 | − | 29542.0i | −1.39912 | − | 1.01652i | −0.994794 | − | 0.101904i | \(-0.967507\pi\) |
−0.404325 | − | 0.914616i | \(-0.632493\pi\) | |||||||
\(62\) | 11852.3 | − | 36477.6i | 0.391582 | − | 1.20517i | ||||
\(63\) | −2179.58 | − | 6708.06i | −0.0691865 | − | 0.212934i | ||||
\(64\) | −20809.7 | + | 15119.1i | −0.635062 | + | 0.461400i | ||||
\(65\) | 8498.60 | 0.249496 | ||||||||
\(66\) | 13267.9 | + | 3616.40i | 0.374923 | + | 0.102192i | ||||
\(67\) | −48507.5 | −1.32015 | −0.660074 | − | 0.751201i | \(-0.729475\pi\) | ||||
−0.660074 | + | 0.751201i | \(0.729475\pi\) | |||||||
\(68\) | 2192.46 | − | 1592.91i | 0.0574988 | − | 0.0417753i | ||||
\(69\) | −3672.83 | − | 11303.8i | −0.0928705 | − | 0.285826i | ||||
\(70\) | −2604.77 | + | 8016.66i | −0.0635367 | + | 0.195546i | ||||
\(71\) | 23750.4 | + | 17255.7i | 0.559146 | + | 0.406243i | 0.831146 | − | 0.556054i | \(-0.187685\pi\) |
−0.272000 | + | 0.962297i | \(0.587685\pi\) | |||||||
\(72\) | −12351.3 | − | 8973.76i | −0.280790 | − | 0.204006i | ||||
\(73\) | −3298.67 | + | 10152.3i | −0.0724490 | + | 0.222975i | −0.980724 | − | 0.195399i | \(-0.937400\pi\) |
0.908275 | + | 0.418374i | \(0.137400\pi\) | |||||||
\(74\) | −5410.83 | − | 16652.8i | −0.114864 | − | 0.353515i | ||||
\(75\) | 18047.2 | − | 13112.1i | 0.370474 | − | 0.269165i | ||||
\(76\) | 8668.67 | 0.172155 | ||||||||
\(77\) | 1678.66 | + | 34904.8i | 0.0322653 | + | 0.670902i | ||||
\(78\) | 11454.8 | 0.213182 | ||||||||
\(79\) | −35659.8 | + | 25908.4i | −0.642853 | + | 0.467060i | −0.860829 | − | 0.508894i | \(-0.830054\pi\) |
0.217976 | + | 0.975954i | \(0.430054\pi\) | |||||||
\(80\) | 1237.77 | + | 3809.48i | 0.0216230 | + | 0.0665488i | ||||
\(81\) | 2027.46 | − | 6239.88i | 0.0343352 | − | 0.105673i | ||||
\(82\) | 48135.7 | + | 34972.6i | 0.790556 | + | 0.574372i | ||||
\(83\) | 381.214 | + | 276.968i | 0.00607399 | + | 0.00441301i | 0.590818 | − | 0.806805i | \(-0.298805\pi\) |
−0.584744 | + | 0.811218i | \(0.698805\pi\) | |||||||
\(84\) | 4238.80 | − | 13045.7i | 0.0655458 | − | 0.201729i | ||||
\(85\) | −1216.43 | − | 3743.78i | −0.0182616 | − | 0.0562034i | ||||
\(86\) | 35005.4 | − | 25432.9i | 0.510375 | − | 0.370809i | ||||
\(87\) | −9585.97 | −0.135781 | ||||||||
\(88\) | 47348.4 | + | 58987.8i | 0.651777 | + | 0.811999i | ||||
\(89\) | −42151.1 | −0.564071 | −0.282035 | − | 0.959404i | \(-0.591010\pi\) | ||||
−0.282035 | + | 0.959404i | \(0.591010\pi\) | |||||||
\(90\) | −6343.43 | + | 4608.77i | −0.0825502 | + | 0.0599762i | ||||
\(91\) | 8994.83 | + | 27683.2i | 0.113865 | + | 0.350440i | ||||
\(92\) | 7142.83 | − | 21983.4i | 0.0879834 | − | 0.270785i | ||||
\(93\) | 73346.7 | + | 53289.5i | 0.879374 | + | 0.638902i | ||||
\(94\) | 21558.4 | + | 15663.1i | 0.251650 | + | 0.182834i | ||||
\(95\) | 3891.03 | − | 11975.4i | 0.0442340 | − | 0.136138i | ||||
\(96\) | −15106.0 | − | 46491.5i | −0.167291 | − | 0.514868i | ||||
\(97\) | −86636.4 | + | 62945.0i | −0.934912 | + | 0.679254i | −0.947191 | − | 0.320671i | \(-0.896092\pi\) |
0.0122782 | + | 0.999925i | \(0.496092\pi\) | |||||||
\(98\) | 35122.3 | 0.369418 | ||||||||
\(99\) | −17821.4 | + | 27185.6i | −0.182748 | + | 0.278773i | ||||
\(100\) | 43383.3 | 0.433833 | ||||||||
\(101\) | −156810. | + | 113929.i | −1.52957 | + | 1.11130i | −0.573094 | + | 0.819490i | \(0.694257\pi\) |
−0.956477 | + | 0.291808i | \(0.905743\pi\) | |||||||
\(102\) | −1639.55 | − | 5046.02i | −0.0156036 | − | 0.0480229i | ||||
\(103\) | 59748.5 | − | 183887.i | 0.554925 | − | 1.70788i | −0.141216 | − | 0.989979i | \(-0.545101\pi\) |
0.696141 | − | 0.717905i | \(-0.254899\pi\) | |||||||
\(104\) | 50972.2 | + | 37033.4i | 0.462115 | + | 0.335746i | ||||
\(105\) | −16119.4 | − | 11711.4i | −0.142684 | − | 0.103666i | ||||
\(106\) | 16965.3 | − | 52213.8i | 0.146655 | − | 0.451357i | ||||
\(107\) | −31116.0 | − | 95765.4i | −0.262739 | − | 0.808628i | −0.992206 | − | 0.124612i | \(-0.960232\pi\) |
0.729466 | − | 0.684017i | \(-0.239768\pi\) | |||||||
\(108\) | 10322.8 | − | 7499.95i | 0.0851605 | − | 0.0618727i | ||||
\(109\) | −6507.92 | −0.0524657 | −0.0262329 | − | 0.999656i | \(-0.508351\pi\) | ||||
−0.0262329 | + | 0.999656i | \(0.508351\pi\) | |||||||
\(110\) | 36326.9 | − | 13765.5i | 0.286251 | − | 0.108470i | ||||
\(111\) | 41389.0 | 0.318843 | ||||||||
\(112\) | −11098.9 | + | 8063.82i | −0.0836055 | + | 0.0607429i | ||||
\(113\) | 48423.9 | + | 149033.i | 0.356750 | + | 1.09796i | 0.954988 | + | 0.296644i | \(0.0958675\pi\) |
−0.598239 | + | 0.801318i | \(0.704132\pi\) | |||||||
\(114\) | 5244.50 | − | 16140.9i | 0.0377957 | − | 0.116323i | ||||
\(115\) | −27162.9 | − | 19735.0i | −0.191528 | − | 0.139153i | ||||
\(116\) | −15082.2 | − | 10957.8i | −0.104068 | − | 0.0756100i | ||||
\(117\) | −8367.05 | + | 25751.1i | −0.0565077 | + | 0.173913i | ||||
\(118\) | −33093.1 | − | 101850.i | −0.218793 | − | 0.673375i | ||||
\(119\) | 10907.5 | − | 7924.75i | 0.0706085 | − | 0.0513001i | ||||
\(120\) | −43127.6 | −0.273403 | ||||||||
\(121\) | 120608. | − | 106730.i | 0.748878 | − | 0.662708i | ||||
\(122\) | −191364. | −1.16402 | ||||||||
\(123\) | −113781. | + | 82666.9i | −0.678122 | + | 0.492684i | ||||
\(124\) | 54484.8 | + | 167687.i | 0.318215 | + | 0.979366i | ||||
\(125\) | 44024.4 | − | 135493.i | 0.252011 | − | 0.775609i | ||||
\(126\) | −21726.4 | − | 15785.1i | −0.121916 | − | 0.0885772i | ||||
\(127\) | −222701. | − | 161802.i | −1.22522 | − | 0.890174i | −0.228696 | − | 0.973498i | \(-0.573446\pi\) |
−0.996522 | + | 0.0833242i | \(0.973446\pi\) | |||||||
\(128\) | 23446.0 | − | 72159.4i | 0.126487 | − | 0.389285i | ||||
\(129\) | 31605.5 | + | 97271.9i | 0.167220 | + | 0.514651i | ||||
\(130\) | 26178.5 | − | 19019.8i | 0.135858 | − | 0.0987068i | ||||
\(131\) | −47934.6 | −0.244045 | −0.122023 | − | 0.992527i | \(-0.538938\pi\) | ||||
−0.122023 | + | 0.992527i | \(0.538938\pi\) | |||||||
\(132\) | −59115.5 | + | 22400.8i | −0.295302 | + | 0.111900i | ||||
\(133\) | 43126.6 | 0.211406 | ||||||||
\(134\) | −149419. | + | 108559.i | −0.718860 | + | 0.522282i | ||||
\(135\) | −5727.33 | − | 17626.9i | −0.0270469 | − | 0.0832419i | ||||
\(136\) | 9018.08 | − | 27754.8i | 0.0418087 | − | 0.128674i | ||||
\(137\) | 117467. | + | 85344.6i | 0.534704 | + | 0.388485i | 0.822114 | − | 0.569322i | \(-0.192794\pi\) |
−0.287410 | + | 0.957808i | \(0.592794\pi\) | |||||||
\(138\) | −36611.3 | − | 26599.6i | −0.163650 | − | 0.118899i | ||||
\(139\) | 87894.6 | − | 270512.i | 0.385856 | − | 1.18754i | −0.550001 | − | 0.835164i | \(-0.685373\pi\) |
0.935857 | − | 0.352379i | \(-0.114627\pi\) | |||||||
\(140\) | −11974.1 | − | 36852.5i | −0.0516325 | − | 0.158908i | ||||
\(141\) | −50958.8 | + | 37023.7i | −0.215860 | + | 0.156831i | ||||
\(142\) | 111777. | 0.465191 | ||||||||
\(143\) | 73546.2 | − | 112191.i | 0.300760 | − | 0.458794i | ||||
\(144\) | −12761.5 | −0.0512856 | ||||||||
\(145\) | −21907.5 | + | 15916.8i | −0.0865314 | + | 0.0628687i | ||||
\(146\) | 12559.7 | + | 38654.7i | 0.0487637 | + | 0.150079i | ||||
\(147\) | −25654.8 | + | 78957.4i | −0.0979209 | + | 0.301370i | ||||
\(148\) | 65119.7 | + | 47312.2i | 0.244376 | + | 0.177549i | ||||
\(149\) | 226103. | + | 164274.i | 0.834336 | + | 0.606181i | 0.920783 | − | 0.390076i | \(-0.127551\pi\) |
−0.0864464 | + | 0.996256i | \(0.527551\pi\) | |||||||
\(150\) | 26246.7 | − | 80779.0i | 0.0952460 | − | 0.293137i | ||||
\(151\) | −13047.8 | − | 40156.9i | −0.0465686 | − | 0.143324i | 0.925069 | − | 0.379800i | \(-0.124007\pi\) |
−0.971637 | + | 0.236477i | \(0.924007\pi\) | |||||||
\(152\) | 75521.1 | − | 54869.3i | 0.265130 | − | 0.192628i | ||||
\(153\) | 12541.4 | 0.0433129 | ||||||||
\(154\) | 83287.4 | + | 103761.i | 0.282994 | + | 0.352561i | ||||
\(155\) | 256108. | 0.856237 | ||||||||
\(156\) | −42600.8 | + | 30951.3i | −0.140154 | + | 0.101828i | ||||
\(157\) | 137100. | + | 421949.i | 0.443902 | + | 1.36619i | 0.883683 | + | 0.468085i | \(0.155056\pi\) |
−0.439781 | + | 0.898105i | \(0.644944\pi\) | |||||||
\(158\) | −51861.3 | + | 159613.i | −0.165272 | + | 0.508656i | ||||
\(159\) | 104988. | + | 76278.3i | 0.329342 | + | 0.239281i | ||||
\(160\) | −111719. | − | 81168.3i | −0.345005 | − | 0.250661i | ||||
\(161\) | 35535.6 | − | 109367.i | 0.108044 | − | 0.332524i | ||||
\(162\) | −7719.54 | − | 23758.3i | −0.0231102 | − | 0.0711259i | ||||
\(163\) | 27919.3 | − | 20284.5i | 0.0823067 | − | 0.0597993i | −0.545871 | − | 0.837869i | \(-0.683801\pi\) |
0.628178 | + | 0.778070i | \(0.283801\pi\) | |||||||
\(164\) | −273516. | −0.794096 | ||||||||
\(165\) | 4411.04 | + | 91720.2i | 0.0126134 | + | 0.262274i | ||||
\(166\) | 1794.12 | 0.00505336 | ||||||||
\(167\) | −380279. | + | 276289.i | −1.05514 | + | 0.766607i | −0.973184 | − | 0.230029i | \(-0.926118\pi\) |
−0.0819597 | + | 0.996636i | \(0.526118\pi\) | |||||||
\(168\) | −45645.8 | − | 140483.i | −0.124775 | − | 0.384018i | ||||
\(169\) | −80206.2 | + | 246849.i | −0.216019 | + | 0.664837i | ||||
\(170\) | −12125.5 | − | 8809.71i | −0.0321794 | − | 0.0233797i | ||||
\(171\) | 32455.1 | + | 23580.0i | 0.0848775 | + | 0.0616671i | ||||
\(172\) | −61465.7 | + | 189172.i | −0.158421 | + | 0.487569i | ||||
\(173\) | 112374. | + | 345852.i | 0.285464 | + | 0.878568i | 0.986259 | + | 0.165206i | \(0.0528288\pi\) |
−0.700795 | + | 0.713363i | \(0.747171\pi\) | |||||||
\(174\) | −29527.9 | + | 21453.3i | −0.0739366 | + | 0.0537181i | ||||
\(175\) | 215832. | 0.532747 | ||||||||
\(176\) | 61001.0 | + | 16626.9i | 0.148441 | + | 0.0404604i | ||||
\(177\) | 253139. | 0.607331 | ||||||||
\(178\) | −129839. | + | 94333.6i | −0.307154 | + | 0.223160i | ||||
\(179\) | −172046. | − | 529503.i | −0.401339 | − | 1.23520i | −0.923913 | − | 0.382602i | \(-0.875028\pi\) |
0.522574 | − | 0.852594i | \(-0.324972\pi\) | |||||||
\(180\) | 11138.4 | − | 34280.4i | 0.0256237 | − | 0.0788615i | ||||
\(181\) | −139672. | − | 101478.i | −0.316894 | − | 0.230237i | 0.417955 | − | 0.908468i | \(-0.362747\pi\) |
−0.734849 | + | 0.678231i | \(0.762747\pi\) | |||||||
\(182\) | 89661.7 | + | 65143.1i | 0.200645 | + | 0.145777i | ||||
\(183\) | 139780. | − | 430200.i | 0.308545 | − | 0.949604i | ||||
\(184\) | −76918.1 | − | 236730.i | −0.167488 | − | 0.515475i | ||||
\(185\) | 94589.4 | − | 68723.2i | 0.203195 | − | 0.147630i | ||||
\(186\) | 345193. | 0.731611 | ||||||||
\(187\) | −59948.9 | − | 16340.2i | −0.125365 | − | 0.0341706i | ||||
\(188\) | −122499. | −0.252777 | ||||||||
\(189\) | 51355.9 | − | 37312.3i | 0.104577 | − | 0.0759796i | ||||
\(190\) | −14815.1 | − | 45596.1i | −0.0297728 | − | 0.0916314i | ||||
\(191\) | 285582. | − | 878930.i | 0.566431 | − | 1.74330i | −0.0972302 | − | 0.995262i | \(-0.530998\pi\) |
0.663661 | − | 0.748033i | \(-0.269002\pi\) | |||||||
\(192\) | −187287. | − | 136072.i | −0.366653 | − | 0.266389i | ||||
\(193\) | −683197. | − | 496371.i | −1.32024 | − | 0.959210i | −0.999929 | − | 0.0118967i | \(-0.996213\pi\) |
−0.320310 | − | 0.947313i | \(-0.603787\pi\) | |||||||
\(194\) | −125998. | + | 387782.i | −0.240359 | + | 0.739748i | ||||
\(195\) | 23635.9 | + | 72743.8i | 0.0445129 | + | 0.136997i | ||||
\(196\) | −130621. | + | 94901.9i | −0.242870 | + | 0.176455i | ||||
\(197\) | −297722. | −0.546570 | −0.273285 | − | 0.961933i | \(-0.588110\pi\) | ||||
−0.273285 | + | 0.961933i | \(0.588110\pi\) | |||||||
\(198\) | 5945.39 | + | 123624.i | 0.0107775 | + | 0.224100i | ||||
\(199\) | −124220. | −0.222362 | −0.111181 | − | 0.993800i | \(-0.535463\pi\) | ||||
−0.111181 | + | 0.993800i | \(0.535463\pi\) | |||||||
\(200\) | 377954. | − | 274600.i | 0.668135 | − | 0.485428i | ||||
\(201\) | −134907. | − | 415201.i | −0.235529 | − | 0.724883i | ||||
\(202\) | −228054. | + | 701877.i | −0.393241 | + | 1.21027i | ||||
\(203\) | −75033.7 | − | 54515.2i | −0.127796 | − | 0.0928491i | ||||
\(204\) | 19732.1 | + | 14336.2i | 0.0331970 | + | 0.0241190i | ||||
\(205\) | −122771. | + | 377850.i | −0.204038 | + | 0.627964i | ||||
\(206\) | −227492. | − | 700149.i | −0.373507 | − | 1.14954i | ||||
\(207\) | 86540.3 | − | 62875.2i | 0.140376 | − | 0.101989i | ||||
\(208\) | 52664.9 | 0.0844040 | ||||||||
\(209\) | −124416. | − | 155000.i | −0.197019 | − | 0.245452i | ||||
\(210\) | −75863.0 | −0.118708 | ||||||||
\(211\) | 823272. | − | 598142.i | 1.27303 | − | 0.924907i | 0.273707 | − | 0.961813i | \(-0.411750\pi\) |
0.999319 | + | 0.0369060i | \(0.0117502\pi\) | |||||||
\(212\) | 77989.2 | + | 240026.i | 0.119178 | + | 0.366791i | ||||
\(213\) | −81646.6 | + | 251282.i | −0.123307 | + | 0.379501i | ||||
\(214\) | −310169. | − | 225351.i | −0.462982 | − | 0.336376i | ||||
\(215\) | 233743. | + | 169824.i | 0.344860 | + | 0.250555i | ||||
\(216\) | 42460.1 | − | 130679.i | 0.0619222 | − | 0.190577i | ||||
\(217\) | 271062. | + | 834243.i | 0.390768 | + | 1.20266i | ||||
\(218\) | −20046.5 | + | 14564.6i | −0.0285692 | + | 0.0207567i | ||||
\(219\) | −96072.6 | −0.135360 | ||||||||
\(220\) | −97906.3 | + | 149351.i | −0.136381 | + | 0.208042i | ||||
\(221\) | −51756.6 | −0.0712829 | ||||||||
\(222\) | 127492. | − | 92628.1i | 0.173620 | − | 0.126142i | ||||
\(223\) | 20749.6 | + | 63860.7i | 0.0279414 | + | 0.0859947i | 0.964055 | − | 0.265704i | \(-0.0856043\pi\) |
−0.936113 | + | 0.351698i | \(0.885604\pi\) | |||||||
\(224\) | 146155. | − | 449818.i | 0.194622 | − | 0.598986i | ||||
\(225\) | 162425. | + | 118009.i | 0.213893 | + | 0.155403i | ||||
\(226\) | 482696. | + | 350699.i | 0.628641 | + | 0.456735i | ||||
\(227\) | −456137. | + | 1.40385e6i | −0.587531 | + | 1.80824i | 0.00132765 | + | 0.999999i | \(0.499577\pi\) |
−0.588859 | + | 0.808236i | \(0.700423\pi\) | |||||||
\(228\) | 24108.9 | + | 74199.6i | 0.0307143 | + | 0.0945288i | ||||
\(229\) | −605186. | + | 439693.i | −0.762605 | + | 0.554065i | −0.899708 | − | 0.436492i | \(-0.856221\pi\) |
0.137103 | + | 0.990557i | \(0.456221\pi\) | |||||||
\(230\) | −127837. | −0.159345 | ||||||||
\(231\) | −294100. | + | 111444.i | −0.362631 | + | 0.137413i | ||||
\(232\) | −200754. | −0.244875 | ||||||||
\(233\) | 685102. | − | 497756.i | 0.826733 | − | 0.600657i | −0.0918998 | − | 0.995768i | \(-0.529294\pi\) |
0.918633 | + | 0.395111i | \(0.129294\pi\) | |||||||
\(234\) | 31857.5 | + | 98047.2i | 0.0380340 | + | 0.117057i | ||||
\(235\) | −54985.0 | + | 169226.i | −0.0649493 | + | 0.199893i | ||||
\(236\) | 398278. | + | 289366.i | 0.465486 | + | 0.338195i | ||||
\(237\) | −320938. | − | 233175.i | −0.371151 | − | 0.269657i | ||||
\(238\) | 15863.1 | − | 48821.6i | 0.0181529 | − | 0.0558689i | ||||
\(239\) | 277151. | + | 852985.i | 0.313850 | + | 0.965932i | 0.976225 | + | 0.216759i | \(0.0695486\pi\) |
−0.662375 | + | 0.749173i | \(0.730451\pi\) | |||||||
\(240\) | −29164.8 | + | 21189.5i | −0.0326837 | + | 0.0237461i | ||||
\(241\) | 396094. | 0.439294 | 0.219647 | − | 0.975579i | \(-0.429509\pi\) | ||||
0.219647 | + | 0.975579i | \(0.429509\pi\) | |||||||
\(242\) | 132650. | − | 598681.i | 0.145603 | − | 0.657139i | ||||
\(243\) | 59049.0 | 0.0641500 | ||||||||
\(244\) | 711691. | − | 517074.i | 0.765274 | − | 0.556004i | ||||
\(245\) | 72471.8 | + | 223045.i | 0.0771354 | + | 0.237398i | ||||
\(246\) | −165476. | + | 509282.i | −0.174340 | + | 0.536563i | ||||
\(247\) | −133938. | − | 97311.4i | −0.139688 | − | 0.101490i | ||||
\(248\) | 1.53606e6 | + | 1.11601e6i | 1.58591 | + | 1.15223i | ||||
\(249\) | −1310.50 | + | 4033.30i | −0.00133949 | + | 0.00412251i | ||||
\(250\) | −167623. | − | 515890.i | −0.169622 | − | 0.522044i | ||||
\(251\) | 1.19546e6 | − | 868553.i | 1.19771 | − | 0.870186i | 0.203651 | − | 0.979044i | \(-0.434719\pi\) |
0.994057 | + | 0.108857i | \(0.0347192\pi\) | |||||||
\(252\) | 123453. | 0.122462 | ||||||||
\(253\) | −495589. | + | 187795.i | −0.486767 | + | 0.184452i | ||||
\(254\) | −1.04810e6 | −1.01934 | ||||||||
\(255\) | 28661.8 | − | 20824.0i | 0.0276028 | − | 0.0200546i | ||||
\(256\) | −343626. | − | 1.05757e6i | −0.327707 | − | 1.00858i | ||||
\(257\) | −213015. | + | 655594.i | −0.201177 | + | 0.619159i | 0.798672 | + | 0.601767i | \(0.205536\pi\) |
−0.999849 | + | 0.0173922i | \(0.994464\pi\) | |||||||
\(258\) | 315049. | + | 228896.i | 0.294665 | + | 0.214087i | ||||
\(259\) | 323970. | + | 235378.i | 0.300093 | + | 0.218030i | ||||
\(260\) | −45966.6 | + | 141471.i | −0.0421705 | + | 0.129787i | ||||
\(261\) | −26660.0 | − | 82051.2i | −0.0242248 | − | 0.0745562i | ||||
\(262\) | −147654. | + | 107277.i | −0.132890 | + | 0.0965503i | ||||
\(263\) | −1.71157e6 | −1.52583 | −0.762913 | − | 0.646501i | \(-0.776232\pi\) | ||||
−0.762913 | + | 0.646501i | \(0.776232\pi\) | |||||||
\(264\) | −373223. | + | 569333.i | −0.329579 | + | 0.502755i | ||||
\(265\) | 366591. | 0.320677 | ||||||||
\(266\) | 132844. | − | 96516.9i | 0.115117 | − | 0.0836372i | ||||
\(267\) | −117229. | − | 360793.i | −0.100636 | − | 0.309727i | ||||
\(268\) | 262364. | − | 807473.i | 0.223135 | − | 0.686738i | ||||
\(269\) | −1.40101e6 | − | 1.01790e6i | −1.18049 | − | 0.857676i | −0.188262 | − | 0.982119i | \(-0.560286\pi\) |
−0.992227 | + | 0.124443i | \(0.960286\pi\) | |||||||
\(270\) | −57090.9 | − | 41479.0i | −0.0476604 | − | 0.0346273i | ||||
\(271\) | 310575. | − | 955850.i | 0.256887 | − | 0.790618i | −0.736565 | − | 0.676367i | \(-0.763553\pi\) |
0.993452 | − | 0.114251i | \(-0.0364467\pi\) | |||||||
\(272\) | −7538.07 | − | 23199.8i | −0.00617786 | − | 0.0190135i | ||||
\(273\) | −211939. | + | 153983.i | −0.172109 | + | 0.125045i | ||||
\(274\) | 552836. | 0.444856 | ||||||||
\(275\) | −622652. | − | 775715.i | −0.496494 | − | 0.618544i | ||||
\(276\) | 208032. | 0.164383 | ||||||||
\(277\) | 701062. | − | 509351.i | 0.548980 | − | 0.398858i | −0.278429 | − | 0.960457i | \(-0.589814\pi\) |
0.827409 | + | 0.561599i | \(0.189814\pi\) | |||||||
\(278\) | −334658. | − | 1.02997e6i | −0.259711 | − | 0.799307i | ||||
\(279\) | −252144. | + | 776018.i | −0.193927 | + | 0.596845i | ||||
\(280\) | −337580. | − | 245266.i | −0.257325 | − | 0.186957i | ||||
\(281\) | 934256. | + | 678776.i | 0.705830 | + | 0.512815i | 0.881826 | − | 0.471576i | \(-0.156315\pi\) |
−0.175996 | + | 0.984391i | \(0.556315\pi\) | |||||||
\(282\) | −74111.1 | + | 228090.i | −0.0554958 | + | 0.170799i | ||||
\(283\) | 455453. | + | 1.40174e6i | 0.338048 | + | 1.04040i | 0.965201 | + | 0.261508i | \(0.0842198\pi\) |
−0.627154 | + | 0.778896i | \(0.715780\pi\) | |||||||
\(284\) | −415703. | + | 302026.i | −0.305835 | + | 0.222202i | ||||
\(285\) | 113325. | 0.0826443 | ||||||||
\(286\) | −24535.8 | − | 510181.i | −0.0177372 | − | 0.368815i | ||||
\(287\) | −1.36074e6 | −0.975149 | ||||||||
\(288\) | 355933. | − | 258600.i | 0.252864 | − | 0.183716i | ||||
\(289\) | −431352. | − | 1.32756e6i | −0.303800 | − | 0.934999i | ||||
\(290\) | −31860.9 | + | 98057.6i | −0.0222465 | + | 0.0684678i | ||||
\(291\) | −779727. | − | 566505.i | −0.539772 | − | 0.392167i | ||||
\(292\) | −151157. | − | 109822.i | −0.103746 | − | 0.0753756i | ||||
\(293\) | −660876. | + | 2.03397e6i | −0.449729 | + | 1.38412i | 0.427484 | + | 0.904023i | \(0.359400\pi\) |
−0.877213 | + | 0.480101i | \(0.840600\pi\) | |||||||
\(294\) | 97680.5 | + | 300630.i | 0.0659082 | + | 0.202845i | ||||
\(295\) | 578517. | − | 420318.i | 0.387045 | − | 0.281205i | ||||
\(296\) | 866788. | 0.575021 | ||||||||
\(297\) | −282259. | − | 76934.8i | −0.185676 | − | 0.0506095i | ||||
\(298\) | 1.06411e6 | 0.694141 | ||||||||
\(299\) | −357140. | + | 259477.i | −0.231026 | + | 0.167850i | ||||
\(300\) | 120656. | + | 371340.i | 0.0774007 | + | 0.238215i | ||||
\(301\) | −305792. | + | 941131.i | −0.194541 | + | 0.598734i | ||||
\(302\) | −130062. | − | 94495.5i | −0.0820603 | − | 0.0596203i | ||||
\(303\) | −1.41129e6 | − | 1.02536e6i | −0.883098 | − | 0.641608i | ||||
\(304\) | 24112.3 | − | 74210.1i | 0.0149643 | − | 0.0460552i | ||||
\(305\) | −394863. | − | 1.21526e6i | −0.243051 | − | 0.748033i | ||||
\(306\) | 38631.6 | − | 28067.5i | 0.0235852 | − | 0.0171356i | ||||
\(307\) | 296122. | 0.179318 | 0.0896591 | − | 0.995973i | \(-0.471422\pi\) | ||||
0.0896591 | + | 0.995973i | \(0.471422\pi\) | |||||||
\(308\) | −590117. | − | 160847.i | −0.354455 | − | 0.0966132i | ||||
\(309\) | 1.74015e6 | 1.03679 | ||||||||
\(310\) | 788897. | − | 573167.i | 0.466247 | − | 0.338748i | ||||
\(311\) | 396597. | + | 1.22060e6i | 0.232514 | + | 0.715603i | 0.997442 | + | 0.0714873i | \(0.0227745\pi\) |
−0.764928 | + | 0.644116i | \(0.777225\pi\) | |||||||
\(312\) | −175227. | + | 539292.i | −0.101909 | + | 0.313645i | ||||
\(313\) | −1.12947e6 | − | 820607.i | −0.651648 | − | 0.473450i | 0.212184 | − | 0.977230i | \(-0.431942\pi\) |
−0.863832 | + | 0.503779i | \(0.831942\pi\) | |||||||
\(314\) | 1.36663e6 | + | 992915.i | 0.782216 | + | 0.568313i | ||||
\(315\) | 55413.5 | − | 170545.i | 0.0314658 | − | 0.0968419i | ||||
\(316\) | −238406. | − | 733737.i | −0.134307 | − | 0.413354i | ||||
\(317\) | 968014. | − | 703303.i | 0.541045 | − | 0.393092i | −0.283428 | − | 0.958994i | \(-0.591472\pi\) |
0.824473 | + | 0.565901i | \(0.191472\pi\) | |||||||
\(318\) | 494107. | 0.274002 | ||||||||
\(319\) | 20532.9 | + | 426947.i | 0.0112973 | + | 0.234907i | ||||
\(320\) | −653960. | −0.357007 | ||||||||
\(321\) | 733166. | − | 532676.i | 0.397136 | − | 0.288536i | ||||
\(322\) | −135301. | − | 416415.i | −0.0727215 | − | 0.223814i | ||||
\(323\) | −23696.5 | + | 72930.3i | −0.0126380 | + | 0.0388957i | ||||
\(324\) | 92905.2 | + | 67499.6i | 0.0491674 | + | 0.0357222i | ||||
\(325\) | −670306. | − | 487006.i | −0.352018 | − | 0.255756i | ||||
\(326\) | 40603.9 | − | 124966.i | 0.0211604 | − | 0.0651250i | ||||
\(327\) | −18099.5 | − | 55704.6i | −0.00936046 | − | 0.0288085i | ||||
\(328\) | −2.38286e6 | + | 1.73125e6i | −1.22296 | + | 0.888536i | ||||
\(329\) | −609431. | −0.310409 | ||||||||
\(330\) | 218856. | + | 272656.i | 0.110630 | + | 0.137826i | ||||
\(331\) | 3.82813e6 | 1.92051 | 0.960255 | − | 0.279125i | \(-0.0900445\pi\) | ||||
0.960255 | + | 0.279125i | \(0.0900445\pi\) | |||||||
\(332\) | −6672.39 | + | 4847.78i | −0.00332228 | + | 0.00241378i | ||||
\(333\) | 115109. | + | 354269.i | 0.0568852 | + | 0.175075i | ||||
\(334\) | −553053. | + | 1.70212e6i | −0.271269 | + | 0.834881i | ||||
\(335\) | −997722. | − | 724887.i | −0.485733 | − | 0.352906i | ||||
\(336\) | −99890.0 | − | 72574.4i | −0.0482696 | − | 0.0350699i | ||||
\(337\) | −395399. | + | 1.21691e6i | −0.189654 | + | 0.583694i | −0.999997 | − | 0.00226077i | \(-0.999280\pi\) |
0.810344 | + | 0.585955i | \(0.199280\pi\) | |||||||
\(338\) | 305385. | + | 939877.i | 0.145397 | + | 0.447486i | ||||
\(339\) | −1.14098e6 | + | 828969.i | −0.539235 | + | 0.391777i | ||||
\(340\) | 68899.5 | 0.0323235 | ||||||||
\(341\) | 2.21634e6 | − | 3.38091e6i | 1.03217 | − | 1.57452i | ||||
\(342\) | 152744. | 0.0706153 | ||||||||
\(343\) | −1.83385e6 | + | 1.33237e6i | −0.841642 | + | 0.611489i | ||||
\(344\) | 661899. | + | 2.03711e6i | 0.301575 | + | 0.928152i | ||||
\(345\) | 93377.7 | − | 287387.i | 0.0422372 | − | 0.129993i | ||||
\(346\) | 1.12016e6 | + | 813846.i | 0.503027 | + | 0.365470i | ||||
\(347\) | 1.54046e6 | + | 1.11921e6i | 0.686794 | + | 0.498985i | 0.875605 | − | 0.483028i | \(-0.160463\pi\) |
−0.188810 | + | 0.982014i | \(0.560463\pi\) | |||||||
\(348\) | 51847.8 | − | 159571.i | 0.0229500 | − | 0.0706328i | ||||
\(349\) | 601253. | + | 1.85047e6i | 0.264237 | + | 0.813239i | 0.991868 | + | 0.127270i | \(0.0406214\pi\) |
−0.727631 | + | 0.685969i | \(0.759379\pi\) | |||||||
\(350\) | 664834. | − | 483030.i | 0.290097 | − | 0.210768i | ||||
\(351\) | −243687. | −0.105576 | ||||||||
\(352\) | −2.03832e6 | + | 772386.i | −0.876829 | + | 0.332260i | ||||
\(353\) | 2.11025e6 | 0.901358 | 0.450679 | − | 0.892686i | \(-0.351182\pi\) | ||||
0.450679 | + | 0.892686i | \(0.351182\pi\) | |||||||
\(354\) | 779750. | − | 566522.i | 0.330710 | − | 0.240275i | ||||
\(355\) | 230642. | + | 709843.i | 0.0971331 | + | 0.298945i | ||||
\(356\) | 227984. | − | 701661.i | 0.0953407 | − | 0.293429i | ||||
\(357\) | 98167.3 | + | 71322.7i | 0.0407658 | + | 0.0296181i | ||||
\(358\) | −1.71498e6 | − | 1.24601e6i | −0.707215 | − | 0.513821i | ||||
\(359\) | 616776. | − | 1.89824e6i | 0.252576 | − | 0.777348i | −0.741722 | − | 0.670707i | \(-0.765991\pi\) |
0.994298 | − | 0.106640i | \(-0.0340093\pi\) | |||||||
\(360\) | −119945. | − | 369151.i | −0.0487780 | − | 0.150123i | ||||
\(361\) | 1.80476e6 | − | 1.31124e6i | 0.728873 | − | 0.529557i | ||||
\(362\) | −657342. | −0.263645 | ||||||||
\(363\) | 1.24898e6 | + | 735509.i | 0.497496 | + | 0.292969i | ||||
\(364\) | −509475. | −0.201544 | ||||||||
\(365\) | −219562. | + | 159521.i | −0.0862631 | + | 0.0626738i | ||||
\(366\) | −532213. | − | 1.63798e6i | −0.207674 | − | 0.639156i | ||||
\(367\) | −1.05884e6 | + | 3.25878e6i | −0.410361 | + | 1.26296i | 0.505974 | + | 0.862549i | \(0.331133\pi\) |
−0.916335 | + | 0.400413i | \(0.868867\pi\) | |||||||
\(368\) | −168325. | − | 122296.i | −0.0647933 | − | 0.0470751i | ||||
\(369\) | −1.02403e6 | − | 744002.i | −0.391514 | − | 0.284451i | ||||
\(370\) | 137564. | − | 423380.i | 0.0522399 | − | 0.160778i | ||||
\(371\) | 387996. | + | 1.19413e6i | 0.146350 | + | 0.450419i | ||||
\(372\) | −1.28379e6 | + | 932726.i | −0.480990 | + | 0.349460i | ||||
\(373\) | −2.53803e6 | −0.944549 | −0.472275 | − | 0.881451i | \(-0.656567\pi\) | ||||
−0.472275 | + | 0.881451i | \(0.656567\pi\) | |||||||
\(374\) | −221231. | + | 83832.0i | −0.0817839 | + | 0.0309906i | ||||
\(375\) | 1.28220e6 | 0.470843 | ||||||||
\(376\) | −1.06720e6 | + | 775369.i | −0.389294 | + | 0.282839i | ||||
\(377\) | 110022. | + | 338614.i | 0.0398683 | + | 0.122702i | ||||
\(378\) | 74688.6 | − | 229868.i | 0.0268859 | − | 0.0827464i | ||||
\(379\) | 1.69961e6 | + | 1.23484e6i | 0.607786 | + | 0.441582i | 0.848634 | − | 0.528981i | \(-0.177426\pi\) |
−0.240848 | + | 0.970563i | \(0.577426\pi\) | |||||||
\(380\) | 178301. | + | 129543.i | 0.0633423 | + | 0.0460209i | ||||
\(381\) | 765579. | − | 2.35621e6i | 0.270195 | − | 0.831576i | ||||
\(382\) | −1.08735e6 | − | 3.34652e6i | −0.381251 | − | 1.17337i | ||||
\(383\) | 487604. | − | 354265.i | 0.169852 | − | 0.123405i | −0.499612 | − | 0.866249i | \(-0.666524\pi\) |
0.669464 | + | 0.742845i | \(0.266524\pi\) | |||||||
\(384\) | 682856. | 0.236320 | ||||||||
\(385\) | −487084. | + | 743022.i | −0.167476 | + | 0.255476i | ||||
\(386\) | −3.21534e6 | −1.09840 | ||||||||
\(387\) | −744700. | + | 541056.i | −0.252757 | + | 0.183639i | ||||
\(388\) | −579212. | − | 1.78263e6i | −0.195325 | − | 0.601149i | ||||
\(389\) | 1.65948e6 | − | 5.10736e6i | 0.556031 | − | 1.71129i | −0.137175 | − | 0.990547i | \(-0.543802\pi\) |
0.693206 | − | 0.720740i | \(-0.256198\pi\) | |||||||
\(390\) | 235606. | + | 171178.i | 0.0784378 | + | 0.0569884i | ||||
\(391\) | 165422. | + | 120186.i | 0.0547208 | + | 0.0397570i | ||||
\(392\) | −537275. | + | 1.65356e6i | −0.176596 | + | 0.543508i | ||||
\(393\) | −133313. | − | 410296.i | −0.0435404 | − | 0.134004i | ||||
\(394\) | −917082. | + | 666299.i | −0.297624 | + | 0.216236i | ||||
\(395\) | −1.12063e6 | −0.361386 | ||||||||
\(396\) | −356149. | − | 443699.i | −0.114129 | − | 0.142184i | ||||
\(397\) | −237310. | −0.0755682 | −0.0377841 | − | 0.999286i | \(-0.512030\pi\) | ||||
−0.0377841 | + | 0.999286i | \(0.512030\pi\) | |||||||
\(398\) | −382639. | + | 278004.i | −0.121083 | + | 0.0879717i | ||||
\(399\) | 119942. | + | 369143.i | 0.0377171 | + | 0.116081i | ||||
\(400\) | 120673. | − | 371393.i | 0.0377103 | − | 0.116060i | ||||
\(401\) | −1.30715e6 | − | 949698.i | −0.405941 | − | 0.294934i | 0.366015 | − | 0.930609i | \(-0.380722\pi\) |
−0.771957 | + | 0.635675i | \(0.780722\pi\) | |||||||
\(402\) | −1.34477e6 | − | 977034.i | −0.415034 | − | 0.301540i | ||||
\(403\) | 1.04056e6 | − | 3.20252e6i | 0.319158 | − | 0.982266i | ||||
\(404\) | −1.04836e6 | − | 3.22652e6i | −0.319563 | − | 0.983514i | ||||
\(405\) | 134949. | − | 98046.3i | 0.0408821 | − | 0.0297026i | ||||
\(406\) | −353133. | −0.106322 | ||||||||
\(407\) | −88654.1 | − | 1.84341e6i | −0.0265285 | − | 0.551615i | ||||
\(408\) | 262648. | 0.0781131 | ||||||||
\(409\) | −2.46889e6 | + | 1.79375e6i | −0.729783 | + | 0.530218i | −0.889495 | − | 0.456945i | \(-0.848943\pi\) |
0.159712 | + | 0.987164i | \(0.448943\pi\) | |||||||
\(410\) | 467449. | + | 1.43866e6i | 0.137333 | + | 0.422667i | ||||
\(411\) | −403815. | + | 1.24281e6i | −0.117917 | + | 0.362912i | ||||
\(412\) | 2.73788e6 | + | 1.98919e6i | 0.794643 | + | 0.577342i | ||||
\(413\) | 1.98143e6 | + | 1.43960e6i | 0.571616 | + | 0.415303i | ||||
\(414\) | 125858. | − | 387352.i | 0.0360895 | − | 0.111072i | ||||
\(415\) | 3702.00 | + | 11393.6i | 0.00105515 | + | 0.00324743i | ||||
\(416\) | −1.46888e6 | + | 1.06721e6i | −0.416154 | + | 0.302354i | ||||
\(417\) | 2.55990e6 | 0.720912 | ||||||||
\(418\) | −730129. | − | 199010.i | −0.204390 | − | 0.0557101i | ||||
\(419\) | −3.45145e6 | −0.960430 | −0.480215 | − | 0.877151i | \(-0.659441\pi\) | ||||
−0.480215 | + | 0.877151i | \(0.659441\pi\) | |||||||
\(420\) | 282137. | − | 204985.i | 0.0780436 | − | 0.0567020i | ||||
\(421\) | −671213. | − | 2.06578e6i | −0.184567 | − | 0.568040i | 0.815373 | − | 0.578936i | \(-0.196532\pi\) |
−0.999941 | + | 0.0108957i | \(0.996532\pi\) | |||||||
\(422\) | 1.19731e6 | − | 3.68495e6i | 0.327285 | − | 1.00728i | ||||
\(423\) | −458629. | − | 333214.i | −0.124627 | − | 0.0905466i | ||||
\(424\) | 2.19871e6 | + | 1.59746e6i | 0.593955 | + | 0.431533i | ||||
\(425\) | −118592. | + | 364988.i | −0.0318480 | + | 0.0980180i | ||||
\(426\) | 310869. | + | 956756.i | 0.0829953 | + | 0.255433i | ||||
\(427\) | 3.54066e6 | − | 2.57244e6i | 0.939756 | − | 0.682773i | ||||
\(428\) | 1.76244e6 | 0.465056 | ||||||||
\(429\) | 1.16484e6 | + | 317499.i | 0.305580 | + | 0.0832913i | ||||
\(430\) | 1.10007e6 | 0.286912 | ||||||||
\(431\) | −3.46055e6 | + | 2.51424e6i | −0.897329 | + | 0.651948i | −0.937779 | − | 0.347234i | \(-0.887121\pi\) |
0.0404496 | + | 0.999182i | \(0.487121\pi\) | |||||||
\(432\) | −35491.7 | − | 109232.i | −0.00914991 | − | 0.0281605i | ||||
\(433\) | 386022. | − | 1.18805e6i | 0.0989446 | − | 0.304520i | −0.889317 | − | 0.457291i | \(-0.848820\pi\) |
0.988262 | + | 0.152771i | \(0.0488197\pi\) | |||||||
\(434\) | 2.70199e6 | + | 1.96311e6i | 0.688587 | + | 0.500288i | ||||
\(435\) | −197168. | − | 143251.i | −0.0499589 | − | 0.0362973i | ||||
\(436\) | 35199.5 | − | 108333.i | 0.00886789 | − | 0.0272926i | ||||
\(437\) | 202115. | + | 622045.i | 0.0506284 | + | 0.155818i | ||||
\(438\) | −295935. | + | 215009.i | −0.0737074 | + | 0.0535516i | ||||
\(439\) | 1.69596e6 | 0.420006 | 0.210003 | − | 0.977701i | \(-0.432653\pi\) | ||||
0.210003 | + | 0.977701i | \(0.432653\pi\) | |||||||
\(440\) | 92378.2 | + | 1.92085e6i | 0.0227477 | + | 0.473000i | ||||
\(441\) | −747186. | −0.182950 | ||||||||
\(442\) | −159427. | + | 115831.i | −0.0388157 | + | 0.0282012i | ||||
\(443\) | 2.43881e6 | + | 7.50588e6i | 0.590430 | + | 1.81716i | 0.576273 | + | 0.817257i | \(0.304507\pi\) |
0.0141572 | + | 0.999900i | \(0.495493\pi\) | |||||||
\(444\) | −223862. | + | 688975.i | −0.0538917 | + | 0.165862i | ||||
\(445\) | −866980. | − | 629898.i | −0.207543 | − | 0.150789i | ||||
\(446\) | 206835. | + | 150275.i | 0.0492365 | + | 0.0357724i | ||||
\(447\) | −777274. | + | 2.39220e6i | −0.183995 | + | 0.566277i | ||||
\(448\) | −692144. | − | 2.13020e6i | −0.162930 | − | 0.501447i | ||||
\(449\) | 106121. | − | 77101.3i | 0.0248419 | − | 0.0180487i | −0.575295 | − | 0.817946i | \(-0.695113\pi\) |
0.600137 | + | 0.799897i | \(0.295113\pi\) | |||||||
\(450\) | 764425. | 0.177952 | ||||||||
\(451\) | 3.92559e6 | + | 4.89060e6i | 0.908790 | + | 1.13219i | ||||
\(452\) | −2.74277e6 | −0.631457 | ||||||||
\(453\) | 307435. | − | 223365.i | 0.0703895 | − | 0.0511410i | ||||
\(454\) | 1.73674e6 | + | 5.34513e6i | 0.395453 | + | 1.21708i | ||||
\(455\) | −228684. | + | 703816.i | −0.0517853 | + | 0.159379i | ||||
\(456\) | 679690. | + | 493824.i | 0.153073 | + | 0.111214i | ||||
\(457\) | −3.43035e6 | − | 2.49230e6i | −0.768331 | − | 0.558225i | 0.133124 | − | 0.991099i | \(-0.457499\pi\) |
−0.901454 | + | 0.432875i | \(0.857499\pi\) | |||||||
\(458\) | −880141. | + | 2.70880e6i | −0.196060 | + | 0.603410i | ||||
\(459\) | 34879.6 | + | 107348.i | 0.00772751 | + | 0.0237828i | ||||
\(460\) | 475432. | − | 345421.i | 0.104760 | − | 0.0761123i | ||||
\(461\) | −2.40705e6 | −0.527513 | −0.263757 | − | 0.964589i | \(-0.584962\pi\) | ||||
−0.263757 | + | 0.964589i | \(0.584962\pi\) | |||||||
\(462\) | −656512. | + | 1.00148e6i | −0.143099 | + | 0.218291i | ||||
\(463\) | −3.97930e6 | −0.862689 | −0.431344 | − | 0.902187i | \(-0.641961\pi\) | ||||
−0.431344 | + | 0.902187i | \(0.641961\pi\) | |||||||
\(464\) | −135759. | + | 98634.4i | −0.0292734 | + | 0.0212683i | ||||
\(465\) | 712276. | + | 2.19216e6i | 0.152762 | + | 0.470154i | ||||
\(466\) | 996367. | − | 3.06650e6i | 0.212547 | − | 0.654151i | ||||
\(467\) | 1.72751e6 | + | 1.25511e6i | 0.366547 | + | 0.266312i | 0.755778 | − | 0.654828i | \(-0.227259\pi\) |
−0.389231 | + | 0.921140i | \(0.627259\pi\) | |||||||
\(468\) | −383407. | − | 278561.i | −0.0809180 | − | 0.0587904i | ||||
\(469\) | 1.30526e6 | − | 4.01718e6i | 0.274009 | − | 0.843314i | ||||
\(470\) | 209355. | + | 644328.i | 0.0437158 | + | 0.134543i | ||||
\(471\) | −3.23038e6 | + | 2.34701e6i | −0.670968 | + | 0.487487i | ||||
\(472\) | 5.30135e6 | 1.09530 | ||||||||
\(473\) | 4.26466e6 | − | 1.61602e6i | 0.876460 | − | 0.332120i | ||||
\(474\) | −1.51044e6 | −0.308786 | ||||||||
\(475\) | −993135. | + | 721555.i | −0.201964 | + | 0.146736i | ||||
\(476\) | 72922.5 | + | 224432.i | 0.0147518 | + | 0.0454013i | ||||
\(477\) | −360917. | + | 1.11079e6i | −0.0726292 | + | 0.223530i | ||||
\(478\) | 2.76269e6 | + | 2.00721e6i | 0.553047 | + | 0.401812i | ||||
\(479\) | −3.52131e6 | − | 2.55838e6i | −0.701237 | − | 0.509479i | 0.179098 | − | 0.983831i | \(-0.442682\pi\) |
−0.880335 | + | 0.474352i | \(0.842682\pi\) | |||||||
\(480\) | 384054. | − | 1.18200e6i | 0.0760833 | − | 0.234160i | ||||
\(481\) | −475039. | − | 1.46202e6i | −0.0936196 | − | 0.288131i | ||||
\(482\) | 1.22010e6 | − | 886453.i | 0.239209 | − | 0.173795i | ||||
\(483\) | 1.03496e6 | 0.201863 | ||||||||
\(484\) | 1.12433e6 | + | 2.58495e6i | 0.218162 | + | 0.501577i | ||||
\(485\) | −2.72261e6 | −0.525570 | ||||||||
\(486\) | 181890. | − | 132151.i | 0.0349316 | − | 0.0253793i | ||||
\(487\) | −2.05793e6 | − | 6.33365e6i | −0.393195 | − | 1.21013i | −0.930358 | − | 0.366651i | \(-0.880504\pi\) |
0.537163 | − | 0.843478i | \(-0.319496\pi\) | |||||||
\(488\) | 2.92735e6 | − | 9.00946e6i | 0.556449 | − | 1.71257i | ||||
\(489\) | 251273. | + | 182561.i | 0.0475198 | + | 0.0345251i | ||||
\(490\) | 722409. | + | 524861.i | 0.135923 | + | 0.0987539i | ||||
\(491\) | −894873. | + | 2.75413e6i | −0.167516 | + | 0.515563i | −0.999213 | − | 0.0396680i | \(-0.987370\pi\) |
0.831696 | + | 0.555231i | \(0.187370\pi\) | |||||||
\(492\) | −760690. | − | 2.34116e6i | −0.141676 | − | 0.436032i | ||||
\(493\) | 133417. | − | 96933.4i | 0.0247226 | − | 0.0179621i | ||||
\(494\) | −630353. | −0.116216 | ||||||||
\(495\) | −772812. | + | 292844.i | −0.141762 | + | 0.0537185i | ||||
\(496\) | 1.58707e6 | 0.289663 | ||||||||
\(497\) | −2.06812e6 | + | 1.50258e6i | −0.375565 | + | 0.272864i | ||||
\(498\) | 4989.71 | + | 15356.8i | 0.000901575 | + | 0.00277476i | ||||
\(499\) | 1.85026e6 | − | 5.69450e6i | 0.332645 | − | 1.02377i | −0.635226 | − | 0.772326i | \(-0.719093\pi\) |
0.967871 | − | 0.251449i | \(-0.0809069\pi\) | |||||||
\(500\) | 2.01735e6 | + | 1.46569e6i | 0.360875 | + | 0.262191i | ||||
\(501\) | −3.42251e6 | − | 2.48660e6i | −0.609187 | − | 0.442601i | ||||
\(502\) | 1.73860e6 | − | 5.35086e6i | 0.307922 | − | 0.947685i | ||||
\(503\) | 683402. | + | 2.10329e6i | 0.120436 | + | 0.370664i | 0.993042 | − | 0.117761i | \(-0.0375717\pi\) |
−0.872606 | + | 0.488425i | \(0.837572\pi\) | |||||||
\(504\) | 1.07552e6 | − | 781412.i | 0.188600 | − | 0.137026i | ||||
\(505\) | −4.92785e6 | −0.859863 | ||||||||
\(506\) | −1.10629e6 | + | 1.68759e6i | −0.192085 | + | 0.293016i | ||||
\(507\) | −2.33597e6 | −0.403597 | ||||||||
\(508\) | 3.89794e6 | − | 2.83202e6i | 0.670156 | − | 0.486897i | ||||
\(509\) | −2.22910e6 | − | 6.86045e6i | −0.381359 | − | 1.17370i | −0.939087 | − | 0.343680i | \(-0.888327\pi\) |
0.557728 | − | 0.830024i | \(-0.311673\pi\) | |||||||
\(510\) | 41683.9 | − | 128290.i | 0.00709647 | − | 0.0218407i | ||||
\(511\) | −752004. | − | 546363.i | −0.127400 | − | 0.0925612i | ||||
\(512\) | −1.46107e6 | − | 1.06153e6i | −0.246319 | − | 0.178961i | ||||
\(513\) | −111571. | + | 343379.i | −0.0187179 | + | 0.0576077i | ||||
\(514\) | 811055. | + | 2.49617e6i | 0.135407 | + | 0.416741i | ||||
\(515\) | 3.97691e6 | − | 2.88939e6i | 0.660735 | − | 0.480052i | ||||
\(516\) | −1.79017e6 | −0.295985 | ||||||||
\(517\) | 1.75814e6 | + | 2.19034e6i | 0.289286 | + | 0.360400i | ||||
\(518\) | 1.52471e6 | 0.249668 | ||||||||
\(519\) | −2.64780e6 | + | 1.92374e6i | −0.431485 | + | 0.313493i | ||||
\(520\) | 494995. | + | 1.52344e6i | 0.0802772 | + | 0.247068i | ||||
\(521\) | −2.68006e6 | + | 8.24839e6i | −0.432564 | + | 1.33130i | 0.462998 | + | 0.886360i | \(0.346774\pi\) |
−0.895562 | + | 0.444937i | \(0.853226\pi\) | |||||||
\(522\) | −265751. | − | 193080.i | −0.0426873 | − | 0.0310142i | ||||
\(523\) | −5.10617e6 | − | 3.70985e6i | −0.816284 | − | 0.593065i | 0.0993618 | − | 0.995051i | \(-0.468320\pi\) |
−0.915646 | + | 0.401987i | \(0.868320\pi\) | |||||||
\(524\) | 259265. | − | 797935.i | 0.0412492 | − | 0.126952i | ||||
\(525\) | 600262. | + | 1.84742e6i | 0.0950480 | + | 0.292528i | ||||
\(526\) | −5.27219e6 | + | 3.83047e6i | −0.830859 | + | 0.603654i | ||||
\(527\) | −1.55970e6 | −0.244633 | ||||||||
\(528\) | 27334.8 | + | 568380.i | 0.00426708 | + | 0.0887267i | ||||
\(529\) | −4.69232e6 | −0.729036 | ||||||||
\(530\) | 1.12922e6 | − | 820427.i | 0.174618 | − | 0.126867i | ||||
\(531\) | 704018. | + | 2.16674e6i | 0.108355 | + | 0.333481i | ||||
\(532\) | −233260. | + | 717901.i | −0.0357323 | + | 0.109973i | ||||
\(533\) | 4.22603e6 | + | 3.07039e6i | 0.644340 | + | 0.468140i | ||||
\(534\) | −1.16855e6 | − | 849003.i | −0.177335 | − | 0.128842i | ||||
\(535\) | 791092. | − | 2.43473e6i | 0.119493 | − | 0.367762i | ||||
\(536\) | −2.82529e6 | − | 8.69533e6i | −0.424767 | − | 1.30730i | ||||
\(537\) | 4.05380e6 | − | 2.94526e6i | 0.606634 | − | 0.440745i | ||||
\(538\) | −6.59362e6 | −0.982129 | ||||||||
\(539\) | 3.57161e6 | + | 973507.i | 0.529532 | + | 0.144334i | ||||
\(540\) | 324401. | 0.0478738 | ||||||||
\(541\) | −6.81511e6 | + | 4.95146e6i | −1.00110 | + | 0.727345i | −0.962325 | − | 0.271903i | \(-0.912347\pi\) |
−0.0387797 | + | 0.999248i | \(0.512347\pi\) | |||||||
\(542\) | −1.18251e6 | − | 3.63939e6i | −0.172905 | − | 0.532146i | ||||
\(543\) | 480150. | − | 1.47775e6i | 0.0698839 | − | 0.215081i | ||||
\(544\) | 680368. | + | 494316.i | 0.0985705 | + | 0.0716156i | ||||
\(545\) | −133857. | − | 97253.0i | −0.0193042 | − | 0.0140253i | ||||
\(546\) | −308230. | + | 948633.i | −0.0442479 | + | 0.136181i | ||||
\(547\) | 3.03452e6 | + | 9.33930e6i | 0.433633 | + | 1.33458i | 0.894481 | + | 0.447105i | \(0.147545\pi\) |
−0.460849 | + | 0.887479i | \(0.652455\pi\) | |||||||
\(548\) | −2.05602e6 | + | 1.49379e6i | −0.292466 | + | 0.212489i | ||||
\(549\) | 4.07105e6 | 0.576469 | ||||||||
\(550\) | −3.65401e6 | − | 995967.i | −0.515067 | − | 0.140391i | ||||
\(551\) | 527513. | 0.0740209 | ||||||||
\(552\) | 1.81237e6 | − | 1.31676e6i | 0.253162 | − | 0.183933i | ||||
\(553\) | −1.18607e6 | − | 3.65034e6i | −0.164929 | − | 0.507599i | ||||
\(554\) | 1.01958e6 | − | 3.13794e6i | 0.141139 | − | 0.434380i | ||||
\(555\) | 851305. | + | 618509.i | 0.117315 | + | 0.0852341i | ||||
\(556\) | 4.02763e6 | + | 2.92625e6i | 0.552539 | + | 0.401443i | ||||
\(557\) | 401918. | − | 1.23698e6i | 0.0548907 | − | 0.168936i | −0.919853 | − | 0.392264i | \(-0.871692\pi\) |
0.974743 | + | 0.223328i | \(0.0716920\pi\) | |||||||
\(558\) | 960035. | + | 2.95468e6i | 0.130527 | + | 0.401722i | ||||
\(559\) | 3.07327e6 | − | 2.23286e6i | 0.415979 | − | 0.302226i | ||||
\(560\) | −348790. | −0.0469996 | ||||||||
\(561\) | −26863.3 | − | 558578.i | −0.00360374 | − | 0.0749336i | ||||
\(562\) | 4.39691e6 | 0.587228 | ||||||||
\(563\) | 918936. | − | 667646.i | 0.122184 | − | 0.0887718i | −0.525015 | − | 0.851093i | \(-0.675940\pi\) |
0.647199 | + | 0.762321i | \(0.275940\pi\) | |||||||
\(564\) | −340688. | − | 1.04853e6i | −0.0450981 | − | 0.138798i | ||||
\(565\) | −1.23112e6 | + | 3.78901e6i | −0.162249 | + | 0.499350i | ||||
\(566\) | 4.54003e6 | + | 3.29852e6i | 0.595686 | + | 0.432791i | ||||
\(567\) | 462203. | + | 335810.i | 0.0603776 | + | 0.0438669i | ||||
\(568\) | −1.70988e6 | + | 5.26248e6i | −0.222380 | + | 0.684415i | ||||
\(569\) | 1.50630e6 | + | 4.63590e6i | 0.195043 | + | 0.600280i | 0.999976 | + | 0.00691457i | \(0.00220099\pi\) |
−0.804933 | + | 0.593365i | \(0.797799\pi\) | |||||||
\(570\) | 349078. | − | 253620.i | 0.0450023 | − | 0.0326961i | ||||
\(571\) | 9.61593e6 | 1.23424 | 0.617122 | − | 0.786868i | \(-0.288299\pi\) | ||||
0.617122 | + | 0.786868i | \(0.288299\pi\) | |||||||
\(572\) | 1.46978e6 | + | 1.83109e6i | 0.187829 | + | 0.234001i | ||||
\(573\) | 8.31746e6 | 1.05829 | ||||||||
\(574\) | −4.19153e6 | + | 3.04533e6i | −0.530998 | + | 0.385793i | ||||
\(575\) | 1.01151e6 | + | 3.11310e6i | 0.127585 | + | 0.392666i | ||||
\(576\) | 643837. | − | 1.98153e6i | 0.0808574 | − | 0.248853i | ||||
\(577\) | 820008. | + | 595771.i | 0.102537 | + | 0.0744972i | 0.637872 | − | 0.770142i | \(-0.279815\pi\) |
−0.535336 | + | 0.844639i | \(0.679815\pi\) | |||||||
\(578\) | −4.29978e6 | − | 3.12397e6i | −0.535336 | − | 0.388944i | ||||
\(579\) | 2.34862e6 | − | 7.22831e6i | 0.291150 | − | 0.896067i | ||||
\(580\) | −146464. | − | 450770.i | −0.0180784 | − | 0.0556397i | ||||
\(581\) | −33195.1 | + | 24117.7i | −0.00407976 | + | 0.00296412i | ||||
\(582\) | −3.66965e6 | −0.449073 | ||||||||
\(583\) | 3.17245e6 | − | 4.83942e6i | 0.386566 | − | 0.589687i | ||||
\(584\) | −2.01200e6 | −0.244116 | ||||||||
\(585\) | −556916. | + | 404624.i | −0.0672822 | + | 0.0488834i | ||||
\(586\) | 2.51628e6 | + | 7.74431e6i | 0.302702 | + | 0.931620i | ||||
\(587\) | −1.74597e6 | + | 5.37355e6i | −0.209142 | + | 0.643674i | 0.790375 | + | 0.612623i | \(0.209885\pi\) |
−0.999518 | + | 0.0310511i | \(0.990115\pi\) | |||||||
\(588\) | −1.17559e6 | − | 854117.i | −0.140221 | − | 0.101877i | ||||
\(589\) | −4.03625e6 | − | 2.93251e6i | −0.479391 | − | 0.348298i | ||||
\(590\) | 841357. | − | 2.58943e6i | 0.0995062 | − | 0.306249i | ||||
\(591\) | −828011. | − | 2.54836e6i | −0.0975141 | − | 0.300118i | ||||
\(592\) | 586160. | − | 425870.i | 0.0687404 | − | 0.0499428i | ||||
\(593\) | 6.68421e6 | 0.780573 | 0.390286 | − | 0.920694i | \(-0.372376\pi\) | ||||
0.390286 | + | 0.920694i | \(0.372376\pi\) | |||||||
\(594\) | −1.04163e6 | + | 394708.i | −0.121129 | + | 0.0458997i | ||||
\(595\) | 342775. | 0.0396933 | ||||||||
\(596\) | −3.95748e6 | + | 2.87528e6i | −0.456356 | + | 0.331562i | ||||
\(597\) | −345476. | − | 1.06327e6i | −0.0396718 | − | 0.122097i | ||||
\(598\) | −519400. | + | 1.59855e6i | −0.0593949 | + | 0.182799i | ||||
\(599\) | −1.30553e7 | − | 9.48526e6i | −1.48669 | − | 1.08015i | −0.975322 | − | 0.220785i | \(-0.929138\pi\) |
−0.511370 | − | 0.859360i | \(-0.670862\pi\) | |||||||
\(600\) | 3.40159e6 | + | 2.47140e6i | 0.385748 | + | 0.280262i | ||||
\(601\) | −4.81540e6 | + | 1.48203e7i | −0.543808 | + | 1.67367i | 0.179998 | + | 0.983667i | \(0.442391\pi\) |
−0.723806 | + | 0.690003i | \(0.757609\pi\) | |||||||
\(602\) | 1.16430e6 | + | 3.58335e6i | 0.130941 | + | 0.402994i | ||||
\(603\) | 3.17872e6 | − | 2.30947e6i | 0.356007 | − | 0.258654i | ||||
\(604\) | 739036. | 0.0824278 | ||||||||
\(605\) | 4.07565e6 | − | 392924.i | 0.452698 | − | 0.0436436i | ||||
\(606\) | −6.64197e6 | −0.734709 | ||||||||
\(607\) | 6.24899e6 | − | 4.54015e6i | 0.688395 | − | 0.500148i | −0.187737 | − | 0.982219i | \(-0.560115\pi\) |
0.876132 | + | 0.482071i | \(0.160115\pi\) | |||||||
\(608\) | 831280. | + | 2.55842e6i | 0.0911987 | + | 0.280681i | ||||
\(609\) | 257943. | − | 793867.i | 0.0281826 | − | 0.0867370i | ||||
\(610\) | −3.93605e6 | − | 2.85971e6i | −0.428288 | − | 0.311170i | ||||
\(611\) | 1.89270e6 | + | 1.37513e6i | 0.205106 | + | 0.149018i | ||||
\(612\) | −67833.0 | + | 208769.i | −0.00732087 | + | 0.0225313i | ||||
\(613\) | −559974. | − | 1.72342e6i | −0.0601890 | − | 0.185243i | 0.916441 | − | 0.400169i | \(-0.131049\pi\) |
−0.976630 | + | 0.214927i | \(0.931049\pi\) | |||||||
\(614\) | 912151. | − | 662717.i | 0.0976441 | − | 0.0709426i | ||||
\(615\) | −3.57565e6 | −0.381213 | ||||||||
\(616\) | −6.15918e6 | + | 2.33392e6i | −0.653990 | + | 0.247818i | ||||
\(617\) | 1.36997e7 | 1.44877 | 0.724385 | − | 0.689396i | \(-0.242124\pi\) | ||||
0.724385 | + | 0.689396i | \(0.242124\pi\) | |||||||
\(618\) | 5.36024e6 | − | 3.89444e6i | 0.564564 | − | 0.410180i | ||||
\(619\) | 1.99138e6 | + | 6.12885e6i | 0.208895 | + | 0.642913i | 0.999531 | + | 0.0306265i | \(0.00975026\pi\) |
−0.790636 | + | 0.612287i | \(0.790250\pi\) | |||||||
\(620\) | −1.38522e6 | + | 4.26326e6i | −0.144723 | + | 0.445413i | ||||
\(621\) | 778862. | + | 565877.i | 0.0810460 | + | 0.0588834i | ||||
\(622\) | 3.95334e6 | + | 2.87227e6i | 0.409720 | + | 0.297679i | ||||
\(623\) | 1.13422e6 | − | 3.49076e6i | 0.117078 | − | 0.360330i | ||||
\(624\) | 146469. | + | 450786.i | 0.0150586 | + | 0.0463456i | ||||
\(625\) | −3.33611e6 | + | 2.42382e6i | −0.341617 | + | 0.248199i | ||||
\(626\) | −5.31564e6 | −0.542150 | ||||||||
\(627\) | 980705. | − | 1.49602e6i | 0.0996252 | − | 0.151973i | ||||
\(628\) | −7.76545e6 | −0.785719 | ||||||||
\(629\) | −576051. | + | 418526.i | −0.0580543 | + | 0.0421789i | ||||
\(630\) | −210986. | − | 649350.i | −0.0211789 | − | 0.0651819i | ||||
\(631\) | −289309. | + | 890401.i | −0.0289260 | + | 0.0890251i | −0.964477 | − | 0.264166i | \(-0.914903\pi\) |
0.935551 | + | 0.353191i | \(0.114903\pi\) | |||||||
\(632\) | −6.72125e6 | − | 4.88327e6i | −0.669356 | − | 0.486316i | ||||
\(633\) | 7.40945e6 | + | 5.38328e6i | 0.734982 | + | 0.533995i | ||||
\(634\) | 1.40781e6 | − | 4.33281e6i | 0.139098 | − | 0.428101i | ||||
\(635\) | −2.16267e6 | − | 6.65601e6i | −0.212841 | − | 0.655058i | ||||
\(636\) | −1.83760e6 | + | 1.33510e6i | −0.180140 | + | 0.130879i | ||||
\(637\) | 3.08353e6 | 0.301093 | ||||||||
\(638\) | 1.01875e6 | + | 1.26918e6i | 0.0990868 | + | 0.123445i | ||||
\(639\) | −2.37793e6 | −0.230381 | ||||||||
\(640\) | 1.56058e6 | − | 1.13383e6i | 0.150604 | − | 0.109420i | ||||
\(641\) | −3.20795e6 | − | 9.87306e6i | −0.308378 | − | 0.949088i | −0.978395 | − | 0.206743i | \(-0.933714\pi\) |
0.670018 | − | 0.742345i | \(-0.266286\pi\) | |||||||
\(642\) | 1.06627e6 | − | 3.28163e6i | 0.102101 | − | 0.314233i | ||||
\(643\) | −4.81657e6 | − | 3.49944e6i | −0.459420 | − | 0.333788i | 0.333884 | − | 0.942614i | \(-0.391641\pi\) |
−0.793304 | + | 0.608826i | \(0.791641\pi\) | |||||||
\(644\) | 1.62836e6 | + | 1.18307e6i | 0.154716 | + | 0.112408i | ||||
\(645\) | −803537. | + | 2.47303e6i | −0.0760513 | + | 0.234062i | ||||
\(646\) | 90224.2 | + | 277681.i | 0.00850632 | + | 0.0261798i | ||||
\(647\) | −4.66877e6 | + | 3.39206e6i | −0.438472 | + | 0.318569i | −0.785027 | − | 0.619461i | \(-0.787351\pi\) |
0.346556 | + | 0.938029i | \(0.387351\pi\) | |||||||
\(648\) | 1.23663e6 | 0.115692 | ||||||||
\(649\) | −542216. | − | 1.12745e7i | −0.0505313 | − | 1.05071i | ||||
\(650\) | −3.15468e6 | −0.292868 | ||||||||
\(651\) | −6.38685e6 | + | 4.64031e6i | −0.590655 | + | 0.429136i | ||||
\(652\) | 186656. | + | 574467.i | 0.0171958 | + | 0.0529232i | ||||
\(653\) | −24517.4 | + | 75456.8i | −0.00225005 | + | 0.00692493i | −0.952175 | − | 0.305552i | \(-0.901159\pi\) |
0.949925 | + | 0.312477i | \(0.101159\pi\) | |||||||
\(654\) | −180419. | − | 131082.i | −0.0164944 | − | 0.0119839i | ||||
\(655\) | −985937. | − | 716325.i | −0.0897937 | − | 0.0652389i | ||||
\(656\) | −760798. | + | 2.34149e6i | −0.0690255 | + | 0.212439i | ||||
\(657\) | −267193. | − | 822334.i | −0.0241497 | − | 0.0743250i | ||||
\(658\) | −1.87725e6 | + | 1.36390e6i | −0.169027 | + | 0.122805i | ||||
\(659\) | 7.27418e6 | 0.652485 | 0.326243 | − | 0.945286i | \(-0.394217\pi\) | ||||
0.326243 | + | 0.945286i | \(0.394217\pi\) | |||||||
\(660\) | −1.55066e6 | − | 422662.i | −0.138566 | − | 0.0377688i | ||||
\(661\) | −582700. | −0.0518730 | −0.0259365 | − | 0.999664i | \(-0.508257\pi\) | ||||
−0.0259365 | + | 0.999664i | \(0.508257\pi\) | |||||||
\(662\) | 1.17919e7 | − | 8.56730e6i | 1.04577 | − | 0.759800i | ||||
\(663\) | −143943. | − | 443011.i | −0.0127177 | − | 0.0391409i | ||||
\(664\) | −27445.1 | + | 84467.3i | −0.00241571 | + | 0.00743478i | ||||
\(665\) | 887045. | + | 644476.i | 0.0777843 | + | 0.0565136i | ||||
\(666\) | 1.14742e6 | + | 833653.i | 0.100239 | + | 0.0728282i | ||||
\(667\) | 434662. | − | 1.33775e6i | 0.0378300 | − | 0.116429i | ||||
\(668\) | −2.54238e6 | − | 7.82463e6i | −0.220444 | − | 0.678457i | ||||
\(669\) | −488909. | + | 355213.i | −0.0422340 | + | 0.0306848i | ||||
\(670\) | −4.69560e6 | −0.404114 | ||||||||
\(671\) | −1.94600e7 | − | 5.30416e6i | −1.66854 | − | 0.454790i | ||||
\(672\) | 4.25670e6 | 0.363622 | ||||||||
\(673\) | 962216. | − | 699091.i | 0.0818907 | − | 0.0594971i | −0.546087 | − | 0.837729i | \(-0.683883\pi\) |
0.627977 | + | 0.778232i | \(0.283883\pi\) | |||||||
\(674\) | 1.50548e6 | + | 4.63339e6i | 0.127651 | + | 0.392870i | ||||
\(675\) | −558368. | + | 1.71848e6i | −0.0471695 | + | 0.145173i | ||||
\(676\) | −3.67532e6 | − | 2.67028e6i | −0.309335 | − | 0.224745i | ||||
\(677\) | 8.59510e6 | + | 6.24471e6i | 0.720741 | + | 0.523649i | 0.886621 | − | 0.462497i | \(-0.153046\pi\) |
−0.165880 | + | 0.986146i | \(0.553046\pi\) | |||||||
\(678\) | −1.65936e6 | + | 5.10699e6i | −0.138633 | + | 0.426669i | ||||
\(679\) | −2.88158e6 | − | 8.86859e6i | −0.239859 | − | 0.738210i | ||||
\(680\) | 600250. | − | 436107.i | 0.0497806 | − | 0.0361677i | ||||
\(681\) | −1.32848e7 | −1.09771 | ||||||||
\(682\) | −739394. | − | 1.53745e7i | −0.0608717 | − | 1.26572i | ||||
\(683\) | 1.28046e7 | 1.05030 | 0.525151 | − | 0.851009i | \(-0.324009\pi\) | ||||
0.525151 | + | 0.851009i | \(0.324009\pi\) | |||||||
\(684\) | −568061. | + | 412721.i | −0.0464253 | + | 0.0337300i | ||||
\(685\) | 1.14073e6 | + | 3.51080e6i | 0.0928872 | + | 0.285877i | ||||
\(686\) | −2.66702e6 | + | 8.20825e6i | −0.216380 | + | 0.665948i | ||||
\(687\) | −5.44667e6 | − | 3.95724e6i | −0.440290 | − | 0.319890i | ||||
\(688\) | 1.44848e6 | + | 1.05238e6i | 0.116665 | + | 0.0847623i | ||||
\(689\) | 1.48945e6 | − | 4.58406e6i | 0.119530 | − | 0.367877i | ||||
\(690\) | −355535. | − | 1.09422e6i | −0.0284289 | − | 0.0874950i | ||||
\(691\) | 4.86922e6 | − | 3.53770e6i | 0.387940 | − | 0.281855i | −0.376671 | − | 0.926347i | \(-0.622931\pi\) |
0.764611 | + | 0.644492i | \(0.222931\pi\) | |||||||
\(692\) | −6.36498e6 | −0.505279 | ||||||||
\(693\) | −1.77184e6 | − | 2.20741e6i | −0.140150 | − | 0.174602i | ||||
\(694\) | 7.24990e6 | 0.571391 | ||||||||
\(695\) | 5.85033e6 | − | 4.25051e6i | 0.459429 | − | 0.333795i | ||||
\(696\) | −558327. | − | 1.71835e6i | −0.0436884 | − | 0.134459i | ||||
\(697\) | 747677. | − | 2.30111e6i | 0.0582951 | − | 0.179414i | ||||
\(698\) | 5.99338e6 | + | 4.35445e6i | 0.465622 | + | 0.338294i | ||||
\(699\) | 6.16592e6 | + | 4.47980e6i | 0.477315 | + | 0.346789i | ||||
\(700\) | −1.16738e6 | + | 3.59282e6i | −0.0900463 | + | 0.277134i | ||||
\(701\) | 4.83614e6 | + | 1.48841e7i | 0.371710 | + | 1.14401i | 0.945672 | + | 0.325123i | \(0.105406\pi\) |
−0.573962 | + | 0.818882i | \(0.694594\pi\) | |||||||
\(702\) | −750636. | + | 545369.i | −0.0574892 | + | 0.0417684i | ||||
\(703\) | −2.27763e6 | −0.173818 | ||||||||
\(704\) | −5.65932e6 | + | 8.63300e6i | −0.430361 | + | 0.656493i | ||||
\(705\) | −1.60142e6 | −0.121348 | ||||||||
\(706\) | 6.50026e6 | − | 4.72272e6i | 0.490817 | − | 0.356599i | ||||
\(707\) | −5.21559e6 | − | 1.60519e7i | −0.392423 | − | 1.20775i | ||||
\(708\) | −1.36916e6 | + | 4.21383e6i | −0.102653 | + | 0.315932i | ||||
\(709\) | 4.36481e6 | + | 3.17122e6i | 0.326099 | + | 0.236925i | 0.738774 | − | 0.673954i | \(-0.235405\pi\) |
−0.412675 | + | 0.910879i | \(0.635405\pi\) | |||||||
\(710\) | 2.29907e6 | + | 1.67037e6i | 0.171162 | + | 0.124356i | ||||
\(711\) | 1.10329e6 | − | 3.39557e6i | 0.0818493 | − | 0.251906i | ||||
\(712\) | −2.45506e6 | − | 7.55589e6i | −0.181494 | − | 0.558580i | ||||
\(713\) | −1.07625e7 | + | 7.81943e6i | −0.792848 | + | 0.576038i | ||||
\(714\) | 462007. | 0.0339159 | ||||||||
\(715\) | 3.18929e6 | − | 1.20853e6i | 0.233308 | − | 0.0884080i | ||||
\(716\) | 9.74483e6 | 0.710382 | ||||||||
\(717\) | −6.53033e6 | + | 4.74456e6i | −0.474392 | + | 0.344666i | ||||
\(718\) | −2.34837e6 | − | 7.22754e6i | −0.170003 | − | 0.523214i | ||||
\(719\) | −5.44056e6 | + | 1.67443e7i | −0.392483 | + | 1.20794i | 0.538421 | + | 0.842676i | \(0.319021\pi\) |
−0.930904 | + | 0.365263i | \(0.880979\pi\) | |||||||
\(720\) | −262483. | − | 190705.i | −0.0188699 | − | 0.0137098i | ||||
\(721\) | 1.36210e7 | + | 9.89622e6i | 0.975821 | + | 0.708975i | ||||
\(722\) | 2.62473e6 | − | 8.07807e6i | 0.187388 | − | 0.576720i | ||||
\(723\) | 1.10160e6 | + | 3.39037e6i | 0.0783749 | + | 0.241213i | ||||
\(724\) | 2.44468e6 | − | 1.77616e6i | 0.173331 | − | 0.125932i | ||||
\(725\) | 2.64000e6 | 0.186534 | ||||||||
\(726\) | 5.49334e6 | − | 529600.i | 0.386807 | − | 0.0372912i | ||||
\(727\) | 5.41393e6 | 0.379907 | 0.189953 | − | 0.981793i | \(-0.439166\pi\) | ||||
0.189953 | + | 0.981793i | \(0.439166\pi\) | |||||||
\(728\) | −4.43852e6 | + | 3.22478e6i | −0.310392 | + | 0.225513i | ||||
\(729\) | 164224. | + | 505430.i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −319316. | + | 982755.i | −0.0221776 | + | 0.0682555i | ||||
\(731\) | −1.42350e6 | − | 1.03423e6i | −0.0985290 | − | 0.0715855i | ||||
\(732\) | 6.40522e6 | + | 4.65367e6i | 0.441831 | + | 0.321009i | ||||
\(733\) | −6.76237e6 | + | 2.08124e7i | −0.464878 | + | 1.43075i | 0.394257 | + | 0.919000i | \(0.371002\pi\) |
−0.859136 | + | 0.511748i | \(0.828998\pi\) | |||||||
\(734\) | 4.03154e6 | + | 1.24078e7i | 0.276204 | + | 0.850069i | ||||
\(735\) | −1.70760e6 | + | 1.24065e6i | −0.116592 | + | 0.0847090i | ||||
\(736\) | 7.17300e6 | 0.488097 | ||||||||
\(737\) | −1.82035e7 | + | 6.89793e6i | −1.23449 | + | 0.467789i | ||||
\(738\) | −4.81942e6 | −0.325727 | ||||||||
\(739\) | 1.93187e7 | − | 1.40358e7i | 1.30127 | − | 0.945425i | 0.301299 | − | 0.953530i | \(-0.402580\pi\) |
0.999967 | + | 0.00810433i | \(0.00257972\pi\) | |||||||
\(740\) | 632382. | + | 1.94627e6i | 0.0424522 | + | 0.130654i | ||||
\(741\) | 460437. | − | 1.41708e6i | 0.0308052 | − | 0.0948087i | ||||
\(742\) | 3.86760e6 | + | 2.80998e6i | 0.257889 | + | 0.187367i | ||||
\(743\) | −8.14422e6 | − | 5.91712e6i | −0.541225 | − | 0.393223i | 0.283315 | − | 0.959027i | \(-0.408566\pi\) |
−0.824540 | + | 0.565804i | \(0.808566\pi\) | |||||||
\(744\) | −5.28051e6 | + | 1.62518e7i | −0.349739 | + | 1.07639i | ||||
\(745\) | 2.19571e6 | + | 6.75769e6i | 0.144938 | + | 0.446075i | ||||
\(746\) | −7.81796e6 | + | 5.68008e6i | −0.514335 | + | 0.373687i | ||||
\(747\) | −38167.7 | −0.00250262 | ||||||||
\(748\) | 596251. | − | 909551.i | 0.0389651 | − | 0.0594392i | ||||
\(749\) | 8.76814e6 | 0.571088 | ||||||||
\(750\) | 3.94958e6 | − | 2.86954e6i | 0.256388 | − | 0.186277i | ||||
\(751\) | 2.38085e6 | + | 7.32749e6i | 0.154039 | + | 0.474084i | 0.998062 | − | 0.0622229i | \(-0.0198190\pi\) |
−0.844023 | + | 0.536307i | \(0.819819\pi\) | |||||||
\(752\) | −340736. | + | 1.04868e6i | −0.0219722 | + | 0.0676234i | ||||
\(753\) | 1.07592e7 | + | 7.81698e6i | 0.691497 | + | 0.502402i | ||||
\(754\) | 1.09672e6 | + | 796812.i | 0.0702533 | + | 0.0510420i | ||||
\(755\) | 331725. | − | 1.02095e6i | 0.0211793 | − | 0.0651831i | ||||
\(756\) | 343343. | + | 1.05670e6i | 0.0218486 | + | 0.0672430i | ||||
\(757\) | −9.66500e6 | + | 7.02203e6i | −0.613002 | + | 0.445372i | −0.850470 | − | 0.526023i | \(-0.823683\pi\) |
0.237468 | + | 0.971395i | \(0.423683\pi\) | |||||||
\(758\) | 7.99889e6 | 0.505658 | ||||||||
\(759\) | −2.98575e6 | − | 3.71971e6i | −0.188126 | − | 0.234372i | ||||
\(760\) | 2.37330e6 | 0.149046 | ||||||||
\(761\) | 5.95778e6 | − | 4.32858e6i | 0.372926 | − | 0.270947i | −0.385497 | − | 0.922709i | \(-0.625970\pi\) |
0.758423 | + | 0.651762i | \(0.225970\pi\) | |||||||
\(762\) | −2.91494e6 | − | 8.97126e6i | −0.181862 | − | 0.559714i | ||||
\(763\) | 175118. | − | 538957.i | 0.0108898 | − | 0.0335152i | ||||
\(764\) | 1.30863e7 | + | 9.50778e6i | 0.811119 | + | 0.589313i | ||||
\(765\) | 257957. | + | 187416.i | 0.0159365 | + | 0.0115785i | ||||
\(766\) | 709138. | − | 2.18250e6i | 0.0436676 | − | 0.134395i | ||||
\(767\) | −2.90538e6 | − | 8.94185e6i | −0.178326 | − | 0.548831i | ||||
\(768\) | 8.09662e6 | − | 5.88254e6i | 0.495337 | − | 0.359883i | ||||
\(769\) | −2.41180e6 | −0.147071 | −0.0735353 | − | 0.997293i | \(-0.523428\pi\) | ||||
−0.0735353 | + | 0.997293i | \(0.523428\pi\) | |||||||
\(770\) | 162496. | + | 3.37884e6i | 0.00987681 | + | 0.205372i | ||||
\(771\) | −6.20399e6 | −0.375868 | ||||||||
\(772\) | 1.19580e7 | − | 8.68799e6i | 0.722129 | − | 0.524658i | ||||
\(773\) | −506681. | − | 1.55940e6i | −0.0304990 | − | 0.0938664i | 0.934648 | − | 0.355574i | \(-0.115714\pi\) |
−0.965147 | + | 0.261707i | \(0.915714\pi\) | |||||||
\(774\) | −1.08304e6 | + | 3.33326e6i | −0.0649819 | + | 0.199994i | ||||
\(775\) | −2.01999e7 | − | 1.46761e7i | −1.20808 | − | 0.877720i | ||||
\(776\) | −1.63294e7 | − | 1.18640e7i | −0.973457 | − | 0.707258i | ||||
\(777\) | −1.11371e6 | + | 3.42765e6i | −0.0661790 | + | 0.203678i | ||||
\(778\) | −6.31847e6 | − | 1.94463e7i | −0.374251 | − | 1.15183i | ||||
\(779\) | 6.26135e6 | − | 4.54914e6i | 0.369679 | − | 0.268587i | ||||
\(780\) | −1.33876e6 | −0.0787890 | ||||||||
\(781\) | 1.13667e7 | + | 3.09819e6i | 0.666816 | + | 0.181753i | ||||
\(782\) | 778531. | 0.0455260 | ||||||||
\(783\) | 628172. | − | 456394.i | 0.0366163 | − | 0.0266033i | ||||
\(784\) | 449100. | + | 1.38219e6i | 0.0260947 | + | 0.0803113i | ||||
\(785\) | −3.48561e6 | + | 1.07276e7i | −0.201885 | + | 0.621339i | ||||
\(786\) | −1.32889e6 | − | 965493.i | −0.0767241 | − | 0.0557433i | ||||
\(787\) | 1.38248e7 | + | 1.00443e7i | 0.795650 | + | 0.578074i | 0.909635 | − | 0.415409i | \(-0.136361\pi\) |
−0.113985 | + | 0.993483i | \(0.536361\pi\) | |||||||
\(788\) | 1.61030e6 | − | 4.95598e6i | 0.0923826 | − | 0.284325i | ||||
\(789\) | −4.76014e6 | − | 1.46502e7i | −0.272224 | − | 0.837820i | ||||
\(790\) | −3.45192e6 | + | 2.50797e6i | −0.196786 | + | 0.142973i | ||||
\(791\) | −1.36453e7 | −0.775428 | ||||||||
\(792\) | −5.91120e6 | − | 1.61121e6i | −0.334860 | − | 0.0912721i | ||||
\(793\) | −1.68007e7 | −0.948732 | ||||||||
\(794\) | −730991. | + | 531096.i | −0.0411491 | + | 0.0298966i | ||||
\(795\) | 1.01955e6 | + | 3.13784e6i | 0.0572123 | + | 0.176081i | ||||
\(796\) | 671874. | − | 2.06782e6i | 0.0375842 | − | 0.115672i | ||||
\(797\) | −2.65862e7 | − | 1.93160e7i | −1.48255 | − | 1.07714i | −0.976723 | − | 0.214506i | \(-0.931186\pi\) |
−0.505831 | − | 0.862632i | \(-0.668814\pi\) | |||||||
\(798\) | 1.19560e6 | + | 868652.i | 0.0664627 | + | 0.0482879i | ||||
\(799\) | 334860. | − | 1.03059e6i | 0.0185565 | − | 0.0571110i | ||||
\(800\) | 4.16024e6 | + | 1.28039e7i | 0.229823 | + | 0.707322i | ||||
\(801\) | 2.76218e6 | − | 2.00684e6i | 0.152114 | − | 0.110518i | ||||
\(802\) | −6.15185e6 | −0.337730 | ||||||||
\(803\) | 205785. | + | 4.27895e6i | 0.0112622 | + | 0.234179i | ||||
\(804\) | 7.64125e6 | 0.416893 | ||||||||
\(805\) | 2.36527e6 | − | 1.71847e6i | 0.128645 | − | 0.0934658i | ||||
\(806\) | −3.96193e6 | − | 1.21936e7i | −0.214817 | − | 0.661140i | ||||
\(807\) | 4.81626e6 | − | 1.48229e7i | 0.260331 | − | 0.801217i | ||||
\(808\) | −2.95559e7 | − | 2.14736e7i | −1.59263 | − | 1.15711i | ||||
\(809\) | −1.68406e7 | − | 1.22354e7i | −0.904663 | − | 0.657276i | 0.0349964 | − | 0.999387i | \(-0.488858\pi\) |
−0.939659 | + | 0.342111i | \(0.888858\pi\) | |||||||
\(810\) | 196261. | − | 604029.i | 0.0105105 | − | 0.0323479i | ||||
\(811\) | 4.92629e6 | + | 1.51616e7i | 0.263007 | + | 0.809453i | 0.992146 | + | 0.125087i | \(0.0399210\pi\) |
−0.729139 | + | 0.684366i | \(0.760079\pi\) | |||||||
\(812\) | 1.31332e6 | − | 954179.i | 0.0699003 | − | 0.0507855i | ||||
\(813\) | 9.04536e6 | 0.479954 | ||||||||
\(814\) | −4.39862e6 | − | 5.47990e6i | −0.232678 | − | 0.289876i | ||||
\(815\) | 877383. | 0.0462695 | ||||||||
\(816\) | 177614. | − | 129044.i | 0.00933797 | − | 0.00678443i | ||||
\(817\) | −1.73925e6 | − | 5.35285e6i | −0.0911603 | − | 0.280563i | ||||
\(818\) | −3.59059e6 | + | 1.10507e7i | −0.187621 | + | 0.577439i | ||||
\(819\) | −1.90745e6 | − | 1.38584e6i | −0.0993673 | − | 0.0721945i | ||||
\(820\) | −5.62578e6 | − | 4.08737e6i | −0.292179 | − | 0.212280i | ||||
\(821\) | 1.89297e6 | − | 5.82595e6i | 0.0980134 | − | 0.301654i | −0.890014 | − | 0.455933i | \(-0.849306\pi\) |
0.988027 | + | 0.154279i | \(0.0493055\pi\) | |||||||
\(822\) | 1.53752e6 | + | 4.73200e6i | 0.0793673 | + | 0.244267i | ||||
\(823\) | −1.03472e7 | + | 7.51770e6i | −0.532506 | + | 0.386888i | −0.821294 | − | 0.570505i | \(-0.806748\pi\) |
0.288788 | + | 0.957393i | \(0.406748\pi\) | |||||||
\(824\) | 3.64431e7 | 1.86981 | ||||||||
\(825\) | 4.90805e6 | − | 7.48698e6i | 0.251058 | − | 0.382976i | ||||
\(826\) | 9.32526e6 | 0.475566 | ||||||||
\(827\) | 2.33608e7 | − | 1.69726e7i | 1.18775 | − | 0.862948i | 0.194722 | − | 0.980858i | \(-0.437619\pi\) |
0.993024 | + | 0.117910i | \(0.0376194\pi\) | |||||||
\(828\) | 578569. | + | 1.78065e6i | 0.0293278 | + | 0.0902617i | ||||
\(829\) | 1.00348e6 | − | 3.08840e6i | 0.0507134 | − | 0.156080i | −0.922493 | − | 0.386015i | \(-0.873851\pi\) |
0.973206 | + | 0.229935i | \(0.0738513\pi\) | |||||||
\(830\) | 36902.1 | + | 26810.9i | 0.00185933 | + | 0.00135088i | ||||
\(831\) | 6.30956e6 | + | 4.58416e6i | 0.316954 | + | 0.230281i | ||||
\(832\) | −2.65703e6 | + | 8.17749e6i | −0.133072 | + | 0.409554i | ||||
\(833\) | −441355. | − | 1.35835e6i | −0.0220381 | − | 0.0678264i | ||||
\(834\) | 7.88532e6 | − | 5.72902e6i | 0.392558 | − | 0.285210i | ||||
\(835\) | −1.19505e7 | −0.593159 | ||||||||
\(836\) | 3.25311e6 | − | 1.23271e6i | 0.160984 | − | 0.0610023i | ||||
\(837\) | −7.34359e6 | −0.362322 | ||||||||
\(838\) | −1.06316e7 | + | 7.72429e6i | −0.522983 | + | 0.379970i | ||||
\(839\) | −1.95266e6 | − | 6.00967e6i | −0.0957683 | − | 0.294745i | 0.891685 | − | 0.452657i | \(-0.149524\pi\) |
−0.987453 | + | 0.157912i | \(0.949524\pi\) | |||||||
\(840\) | 1.16050e6 | − | 3.57164e6i | 0.0567473 | − | 0.174650i | ||||
\(841\) | 1.56761e7 | + | 1.13893e7i | 0.764271 | + | 0.555275i | ||||
\(842\) | −6.69075e6 | − | 4.86111e6i | −0.325233 | − | 0.236295i | ||||
\(843\) | −3.21168e6 | + | 9.88455e6i | −0.155655 | + | 0.479058i | ||||
\(844\) | 5.50402e6 | + | 1.69396e7i | 0.265965 | + | 0.818556i | ||||
\(845\) | −5.33858e6 | + | 3.87871e6i | −0.257208 | + | 0.186872i | ||||
\(846\) | −2.15846e6 | −0.103685 | ||||||||
\(847\) | 5.59353e6 | + | 1.28601e7i | 0.267903 | + | 0.615937i | ||||
\(848\) | 2.27173e6 | 0.108484 | ||||||||
\(849\) | −1.07315e7 | + | 7.79692e6i | −0.510967 | + | 0.371239i | ||||
\(850\) | 451537. | + | 1.38969e6i | 0.0214361 | + | 0.0659736i | ||||
\(851\) | −1.87672e6 | + | 5.77596e6i | −0.0888334 | + | 0.273401i | ||||
\(852\) | −3.74133e6 | − | 2.71823e6i | −0.176574 | − | 0.128289i | ||||
\(853\) | −1.18220e7 | − | 8.58919e6i | −0.556312 | − | 0.404184i | 0.273795 | − | 0.961788i | \(-0.411721\pi\) |
−0.830107 | + | 0.557604i | \(0.811721\pi\) | |||||||
\(854\) | 5.14931e6 | − | 1.58479e7i | 0.241604 | − | 0.743580i | ||||
\(855\) | 315174. | + | 970005.i | 0.0147447 | + | 0.0453794i | ||||
\(856\) | 1.53543e7 | − | 1.11556e7i | 0.716219 | − | 0.520364i | ||||
\(857\) | 2.04234e7 | 0.949894 | 0.474947 | − | 0.880015i | \(-0.342467\pi\) | ||||
0.474947 | + | 0.880015i | \(0.342467\pi\) | |||||||
\(858\) | 4.29866e6 | − | 1.62891e6i | 0.199349 | − | 0.0755401i | ||||
\(859\) | −3.09296e7 | −1.43018 | −0.715091 | − | 0.699031i | \(-0.753615\pi\) | ||||
−0.715091 | + | 0.699031i | \(0.753615\pi\) | |||||||
\(860\) | −4.09120e6 | + | 2.97243e6i | −0.188627 | + | 0.137046i | ||||
\(861\) | −3.78443e6 | − | 1.16473e7i | −0.173977 | − | 0.535447i | ||||
\(862\) | −5.03279e6 | + | 1.54893e7i | −0.230696 | + | 0.710010i | ||||
\(863\) | 1.29189e7 | + | 9.38615e6i | 0.590472 | + | 0.429003i | 0.842484 | − | 0.538721i | \(-0.181092\pi\) |
−0.252012 | + | 0.967724i | \(0.581092\pi\) | |||||||
\(864\) | 3.20339e6 | + | 2.32740e6i | 0.145991 | + | 0.106069i | ||||
\(865\) | −2.85699e6 | + | 8.79292e6i | −0.129828 | + | 0.399570i | ||||
\(866\) | −1.46978e6 | − | 4.52350e6i | −0.0665972 | − | 0.204965i | ||||
\(867\) | 1.01636e7 | − | 7.38432e6i | 0.459200 | − | 0.333628i | ||||
\(868\) | −1.53532e7 | −0.691671 | ||||||||
\(869\) | −9.69789e6 | + | 1.47936e7i | −0.435640 | + | 0.664547i | ||||
\(870\) | −927935. | −0.0415642 | ||||||||
\(871\) | −1.31181e7 | + | 9.53088e6i | −0.585904 | + | 0.425684i | ||||
\(872\) | −379049. | − | 1.16659e6i | −0.0168812 | − | 0.0519550i | ||||
\(873\) | 2.68046e6 | − | 8.24962e6i | 0.119035 | − | 0.366352i | ||||
\(874\) | 2.01471e6 | + | 1.46377e6i | 0.0892142 | + | 0.0648179i | ||||
\(875\) | 1.00363e7 | + | 7.29182e6i | 0.443154 | + | 0.321970i | ||||
\(876\) | 519630. | − | 1.59926e6i | 0.0228788 | − | 0.0704138i | ||||
\(877\) | 6.32803e6 | + | 1.94757e7i | 0.277824 | + | 0.855053i | 0.988458 | + | 0.151492i | \(0.0484079\pi\) |
−0.710635 | + | 0.703561i | \(0.751592\pi\) | |||||||
\(878\) | 5.22413e6 | − | 3.79555e6i | 0.228706 | − | 0.166165i | ||||
\(879\) | −1.92478e7 | −0.840249 | ||||||||
\(880\) | 1.00622e6 | + | 1.25358e6i | 0.0438013 | + | 0.0545687i | ||||
\(881\) | 9.60757e6 | 0.417036 | 0.208518 | − | 0.978019i | \(-0.433136\pi\) | ||||
0.208518 | + | 0.978019i | \(0.433136\pi\) | |||||||
\(882\) | −2.30158e6 | + | 1.67219e6i | −0.0996218 | + | 0.0723795i | ||||
\(883\) | 7.38319e6 | + | 2.27231e7i | 0.318671 | + | 0.980767i | 0.974217 | + | 0.225613i | \(0.0724383\pi\) |
−0.655547 | + | 0.755155i | \(0.727562\pi\) | |||||||
\(884\) | 279937. | − | 861559.i | 0.0120484 | − | 0.0370812i | ||||
\(885\) | 5.20666e6 | + | 3.78286e6i | 0.223461 | + | 0.162354i | ||||
\(886\) | 2.43104e7 | + | 1.76625e7i | 1.04042 | + | 0.755908i | ||||
\(887\) | −1.39619e6 | + | 4.29703e6i | −0.0595848 | + | 0.183383i | −0.976419 | − | 0.215886i | \(-0.930736\pi\) |
0.916834 | + | 0.399269i | \(0.130736\pi\) | |||||||
\(888\) | 2.41067e6 | + | 7.41928e6i | 0.102590 | + | 0.315740i | ||||
\(889\) | 1.93923e7 | − | 1.40893e7i | 0.822951 | − | 0.597909i | ||||
\(890\) | −4.08028e6 | −0.172669 | ||||||||
\(891\) | −126481. | − | 2.62997e6i | −0.00533743 | − | 0.110983i | ||||
\(892\) | −1.17528e6 | −0.0494570 | ||||||||
\(893\) | 2.80425e6 | − | 2.03741e6i | 0.117676 | − | 0.0854967i | ||||
\(894\) | 2.95947e6 | + | 9.10830e6i | 0.123842 | + | 0.381148i | ||||
\(895\) | 4.37408e6 | − | 1.34620e7i | 0.182528 | − | 0.561763i | ||||
\(896\) | 5.34503e6 | + | 3.88339e6i | 0.222423 | + | 0.161600i | ||||
\(897\) | −3.21426e6 | − | 2.33529e6i | −0.133383 | − | 0.0969082i | ||||
\(898\) | 154335. | − | 474995.i | 0.00638666 | − | 0.0196561i | ||||
\(899\) | 3.31556e6 | + | 1.02042e7i | 0.136822 | + | 0.421096i | ||||
\(900\) | −2.84293e6 | + | 2.06551e6i | −0.116993 | + | 0.0850003i | ||||
\(901\) | −2.23255e6 | −0.0916197 | ||||||||
\(902\) | 2.30372e7 | + | 6.27921e6i | 0.942787 | + | 0.256974i | ||||
\(903\) | −8.90608e6 | −0.363469 | ||||||||
\(904\) | −2.38949e7 | + | 1.73607e7i | −0.972488 | + | 0.706554i | ||||
\(905\) | −1.35637e6 | − | 4.17447e6i | −0.0550498 | − | 0.169426i | ||||
\(906\) | 447113. | − | 1.37607e6i | 0.0180966 | − | 0.0556956i | ||||
\(907\) | 2.52648e7 | + | 1.83560e7i | 1.01976 | + | 0.740899i | 0.966234 | − | 0.257667i | \(-0.0829539\pi\) |
0.0535263 | + | 0.998566i | \(0.482954\pi\) | |||||||
\(908\) | −2.09018e7 | − | 1.51860e7i | −0.841334 | − | 0.611265i | ||||
\(909\) | 4.85157e6 | − | 1.49316e7i | 0.194748 | − | 0.599373i | ||||
\(910\) | 870712. | + | 2.67978e6i | 0.0348555 | + | 0.107274i | ||||
\(911\) | 1.17522e7 | − | 8.53846e6i | 0.469161 | − | 0.340866i | −0.327953 | − | 0.944694i | \(-0.606359\pi\) |
0.797114 | + | 0.603828i | \(0.206359\pi\) | |||||||
\(912\) | 702262. | 0.0279584 | ||||||||
\(913\) | 182445. | + | 49728.7i | 0.00724360 | + | 0.00197438i | ||||
\(914\) | −1.61443e7 | −0.639226 | ||||||||
\(915\) | 9.30388e6 | − | 6.75967e6i | 0.367377 | − | 0.266915i | ||||
\(916\) | −4.04600e6 | − | 1.24523e7i | −0.159326 | − | 0.490355i | ||||
\(917\) | 1.28984e6 | − | 3.96973e6i | 0.0506540 | − | 0.155897i | ||||
\(918\) | 347685. | + | 252608.i | 0.0136169 | + | 0.00989327i | ||||
\(919\) | −9.14307e6 | − | 6.64283e6i | −0.357111 | − | 0.259456i | 0.394735 | − | 0.918795i | \(-0.370836\pi\) |
−0.751846 | + | 0.659339i | \(0.770836\pi\) | |||||||
\(920\) | 1.95556e6 | − | 6.01859e6i | 0.0761731 | − | 0.234437i | ||||
\(921\) | 823560. | + | 2.53466e6i | 0.0319923 | + | 0.0984623i | ||||
\(922\) | −7.41451e6 | + | 5.38696e6i | −0.287247 | + | 0.208697i | ||||
\(923\) | 9.81337e6 | 0.379152 | ||||||||
\(924\) | −264434. | − | 5.49845e6i | −0.0101891 | − | 0.211866i | ||||
\(925\) | −1.13986e7 | −0.438025 | ||||||||
\(926\) | −1.22575e7 | + | 8.90563e6i | −0.469760 | + | 0.341301i | ||||
\(927\) | 4.83963e6 | + | 1.48949e7i | 0.184975 | + | 0.569295i | ||||
\(928\) | 1.78773e6 | − | 5.50205e6i | 0.0681445 | − | 0.209727i | ||||
\(929\) | 1.07972e7 | + | 7.84461e6i | 0.410460 | + | 0.298217i | 0.773788 | − | 0.633445i | \(-0.218360\pi\) |
−0.363328 | + | 0.931661i | \(0.618360\pi\) | |||||||
\(930\) | 7.10007e6 | + | 5.15850e6i | 0.269188 | + | 0.195576i | ||||
\(931\) | 1.41178e6 | − | 4.34501e6i | 0.0533817 | − | 0.164292i | ||||
\(932\) | 4.58028e6 | + | 1.40967e7i | 0.172724 | + | 0.531590i | ||||
\(933\) | −9.34474e6 | + | 6.78935e6i | −0.351449 | + | 0.255343i | ||||
\(934\) | 8.13023e6 | 0.304955 | ||||||||
\(935\) | −988869. | − | 1.23196e6i | −0.0369922 | − | 0.0460857i | ||||
\(936\) | −5.10341e6 | −0.190402 | ||||||||
\(937\) | 6.18776e6 | − | 4.49567e6i | 0.230242 | − | 0.167281i | −0.466683 | − | 0.884425i | \(-0.654551\pi\) |
0.696925 | + | 0.717144i | \(0.254551\pi\) | |||||||
\(938\) | −4.96977e6 | − | 1.52954e7i | −0.184429 | − | 0.567614i | ||||
\(939\) | 3.88277e6 | − | 1.19499e7i | 0.143707 | − | 0.442284i | ||||
\(940\) | −2.51960e6 | − | 1.83060e6i | −0.0930062 | − | 0.0675730i | ||||
\(941\) | −1.23937e7 | − | 9.00457e6i | −0.456276 | − | 0.331504i | 0.335793 | − | 0.941936i | \(-0.390996\pi\) |
−0.792069 | + | 0.610432i | \(0.790996\pi\) | |||||||
\(942\) | −4.69805e6 | + | 1.44591e7i | −0.172501 | + | 0.530903i | ||||
\(943\) | −6.37717e6 | − | 1.96269e7i | −0.233533 | − | 0.718742i | ||||
\(944\) | 3.58501e6 | − | 2.60466e6i | 0.130936 | − | 0.0951309i | ||||
\(945\) | 1.61390e6 | 0.0587890 | ||||||||
\(946\) | 9.51992e6 | − | 1.45222e7i | 0.345864 | − | 0.527598i | ||||
\(947\) | 1.42871e7 | 0.517691 | 0.258845 | − | 0.965919i | \(-0.416658\pi\) | ||||
0.258845 | + | 0.965919i | \(0.416658\pi\) | |||||||
\(948\) | 5.61738e6 | − | 4.08127e6i | 0.203008 | − | 0.147494i | ||||
\(949\) | 1.10267e6 | + | 3.39366e6i | 0.0397447 | + | 0.122321i | ||||
\(950\) | −1.44435e6 | + | 4.44525e6i | −0.0519234 | + | 0.159804i | ||||
\(951\) | 8.71213e6 | + | 6.32973e6i | 0.312373 | + | 0.226952i | ||||
\(952\) | 2.05587e6 | + | 1.49367e6i | 0.0735195 | + | 0.0534151i | ||||
\(953\) | 3.70883e6 | − | 1.14146e7i | 0.132283 | − | 0.407125i | −0.862874 | − | 0.505418i | \(-0.831338\pi\) |
0.995158 | + | 0.0982929i | \(0.0313382\pi\) | |||||||
\(954\) | 1.37419e6 | + | 4.22932e6i | 0.0488849 | + | 0.150452i | ||||
\(955\) | 1.90085e7 | − | 1.38105e7i | 0.674435 | − | 0.490005i | ||||
\(956\) | −1.56981e7 | −0.555524 | ||||||||
\(957\) | −3.59735e6 | + | 1.36315e6i | −0.126970 | + | 0.0481133i | ||||
\(958\) | −1.65724e7 | −0.583407 | ||||||||
\(959\) | −1.02287e7 | + | 7.43158e6i | −0.359148 | + | 0.260937i | ||||
\(960\) | −1.81876e6 | − | 5.59758e6i | −0.0636939 | − | 0.196030i | ||||
\(961\) | 2.25108e7 | − | 6.92810e7i | 0.786289 | − | 2.41995i | ||||
\(962\) | −4.73526e6 | − | 3.44037e6i | −0.164970 | − | 0.119858i | ||||
\(963\) | 6.59849e6 | + | 4.79409e6i | 0.229287 | + | 0.166587i | ||||
\(964\) | −2.14236e6 | + | 6.59351e6i | −0.0742507 | + | 0.228520i | ||||
\(965\) | −6.63457e6 | − | 2.04191e7i | −0.229348 | − | 0.705860i | ||||
\(966\) | 3.18802e6 | − | 2.31623e6i | 0.109920 | − | 0.0798617i | ||||
\(967\) | −3.01163e7 | −1.03570 | −0.517851 | − | 0.855471i | \(-0.673268\pi\) | ||||
−0.517851 | + | 0.855471i | \(0.673268\pi\) | |||||||
\(968\) | 2.61568e7 | + | 1.54034e7i | 0.897214 | + | 0.528357i | ||||
\(969\) | −690151. | −0.0236121 | ||||||||
\(970\) | −8.38652e6 | + | 6.09317e6i | −0.286189 | + | 0.207928i | ||||
\(971\) | 3.38765e6 | + | 1.04261e7i | 0.115306 | + | 0.354874i | 0.992011 | − | 0.126154i | \(-0.0402634\pi\) |
−0.876705 | + | 0.481028i | \(0.840263\pi\) | |||||||
\(972\) | −319380. | + | 982950.i | −0.0108428 | + | 0.0333707i | ||||
\(973\) | 2.00375e7 | + | 1.45581e7i | 0.678518 | + | 0.492972i | ||||
\(974\) | −2.05137e7 | − | 1.49041e7i | −0.692863 | − | 0.503394i | ||||
\(975\) | 2.30431e6 | − | 7.09193e6i | 0.0776299 | − | 0.238920i | ||||
\(976\) | −2.44692e6 | − | 7.53086e6i | −0.0822235 | − | 0.253058i | ||||
\(977\) | −4.58909e7 | + | 3.33417e7i | −1.53812 | + | 1.11751i | −0.586616 | + | 0.809865i | \(0.699540\pi\) |
−0.951502 | + | 0.307643i | \(0.900460\pi\) | |||||||
\(978\) | 1.18257e6 | 0.0395349 | ||||||||
\(979\) | −1.58181e7 | + | 5.99402e6i | −0.527471 | + | 0.199876i | ||||
\(980\) | −4.10487e6 | −0.136532 | ||||||||
\(981\) | 426466. | − | 309846.i | 0.0141486 | − | 0.0102795i | ||||
\(982\) | 3.40722e6 | + | 1.04863e7i | 0.112751 | + | 0.347013i | ||||
\(983\) | −8.21904e6 | + | 2.52956e7i | −0.271292 | + | 0.834952i | 0.718884 | + | 0.695130i | \(0.244653\pi\) |
−0.990177 | + | 0.139822i | \(0.955347\pi\) | |||||||
\(984\) | −2.14457e7 | − | 1.55812e7i | −0.706079 | − | 0.512996i | ||||
\(985\) | −6.12367e6 | − | 4.44910e6i | −0.201104 | − | 0.146111i | ||||
\(986\) | 194033. | − | 597173.i | 0.00635600 | − | 0.0195618i | ||||
\(987\) | −1.69492e6 | − | 5.21643e6i | −0.0553805 | − | 0.170444i | ||||
\(988\) | 2.34431e6 | − | 1.70324e6i | 0.0764051 | − | 0.0555116i | ||||
\(989\) | −1.50077e7 | −0.487892 | ||||||||
\(990\) | −1.72513e6 | + | 2.63160e6i | −0.0559415 | + | 0.0853360i | ||||
\(991\) | 8.76738e6 | 0.283587 | 0.141793 | − | 0.989896i | \(-0.454713\pi\) | ||||
0.141793 | + | 0.989896i | \(0.454713\pi\) | |||||||
\(992\) | −4.42653e7 | + | 3.21606e7i | −1.42818 | + | 1.03764i | ||||
\(993\) | 1.06466e7 | + | 3.27669e7i | 0.342640 | + | 1.05454i | ||||
\(994\) | −3.00774e6 | + | 9.25687e6i | −0.0965549 | + | 0.297165i | ||||
\(995\) | −2.55501e6 | − | 1.85633e6i | −0.0818155 | − | 0.0594424i | ||||
\(996\) | −60051.5 | − | 43630.0i | −0.00191812 | − | 0.00139360i | ||||
\(997\) | 8.71674e6 | − | 2.68274e7i | 0.277726 | − | 0.854752i | −0.710759 | − | 0.703435i | \(-0.751649\pi\) |
0.988485 | − | 0.151317i | \(-0.0483514\pi\) | |||||||
\(998\) | −7.04484e6 | − | 2.16818e7i | −0.223895 | − | 0.689078i | ||||
\(999\) | −2.71224e6 | + | 1.97055e6i | −0.0859832 | + | 0.0624705i |
(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 | 33.6.e.a.25.4 | yes | 20 | |
3.2 | odd | 2 | 99.6.f.c.91.2 | 20 | |||
11.2 | odd | 10 | 363.6.a.q.1.7 | 10 | |||
11.4 | even | 5 | inner | 33.6.e.a.4.4 | ✓ | 20 | |
11.9 | even | 5 | 363.6.a.u.1.4 | 10 | |||
33.2 | even | 10 | 1089.6.a.bl.1.4 | 10 | |||
33.20 | odd | 10 | 1089.6.a.bh.1.7 | 10 | |||
33.26 | odd | 10 | 99.6.f.c.37.2 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.e.a.4.4 | ✓ | 20 | 11.4 | even | 5 | inner | |
33.6.e.a.25.4 | yes | 20 | 1.1 | even | 1 | trivial | |
99.6.f.c.37.2 | 20 | 33.26 | odd | 10 | |||
99.6.f.c.91.2 | 20 | 3.2 | odd | 2 | |||
363.6.a.q.1.7 | 10 | 11.2 | odd | 10 | |||
363.6.a.u.1.4 | 10 | 11.9 | even | 5 | |||
1089.6.a.bh.1.7 | 10 | 33.20 | odd | 10 | |||
1089.6.a.bl.1.4 | 10 | 33.2 | even | 10 |