Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,6,Mod(4,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.i (of order \(10\), 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: | \(12.0287864860\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 4.7 | ||
Character | \(\chi\) | \(=\) | 75.4 |
Dual form | 75.6.i.a.19.7 |
$q$-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 \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.73235 | − | 1.53763i | −0.836569 | − | 0.271818i | −0.140759 | − | 0.990044i | \(-0.544954\pi\) |
−0.695810 | + | 0.718226i | \(0.744954\pi\) | |||||||
\(3\) | −5.29007 | + | 7.28115i | −0.339358 | + | 0.467086i | ||||
\(4\) | −5.85773 | − | 4.25589i | −0.183054 | − | 0.132996i | ||||
\(5\) | −49.1135 | − | 26.6995i | −0.878569 | − | 0.477615i | ||||
\(6\) | 36.2302 | − | 26.3228i | 0.410859 | − | 0.298506i | ||||
\(7\) | − | 228.046i | − | 1.75905i | −0.475855 | − | 0.879524i | \(-0.657861\pi\) | ||
0.475855 | − | 0.879524i | \(-0.342139\pi\) | |||||||
\(8\) | 114.769 | + | 157.966i | 0.634015 | + | 0.872646i | ||||
\(9\) | −25.0304 | − | 77.0356i | −0.103006 | − | 0.317019i | ||||
\(10\) | 191.368 | + | 201.870i | 0.605160 | + | 0.638369i | ||||
\(11\) | 63.9875 | − | 196.933i | 0.159446 | − | 0.490724i | −0.839138 | − | 0.543918i | \(-0.816940\pi\) |
0.998584 | + | 0.0531943i | \(0.0169403\pi\) | |||||||
\(12\) | 61.9755 | − | 20.1371i | 0.124242 | − | 0.0403686i | ||||
\(13\) | −622.052 | + | 202.117i | −1.02087 | + | 0.331699i | −0.771173 | − | 0.636626i | \(-0.780330\pi\) |
−0.249693 | + | 0.968325i | \(0.580330\pi\) | |||||||
\(14\) | −350.651 | + | 1079.19i | −0.478140 | + | 1.47156i | ||||
\(15\) | 454.217 | − | 216.361i | 0.521237 | − | 0.248285i | ||||
\(16\) | −228.635 | − | 703.665i | −0.223276 | − | 0.687173i | ||||
\(17\) | −61.9509 | − | 85.2681i | −0.0519907 | − | 0.0715590i | 0.782230 | − | 0.622990i | \(-0.214082\pi\) |
−0.834221 | + | 0.551431i | \(0.814082\pi\) | |||||||
\(18\) | 403.047i | 0.293207i | ||||||||
\(19\) | −1629.48 | + | 1183.88i | −1.03553 | + | 0.752359i | −0.969409 | − | 0.245452i | \(-0.921064\pi\) |
−0.0661250 | + | 0.997811i | \(0.521064\pi\) | |||||||
\(20\) | 174.064 | + | 365.420i | 0.0973045 | + | 0.204276i | ||||
\(21\) | 1660.44 | + | 1206.38i | 0.821627 | + | 0.596947i | ||||
\(22\) | −605.622 | + | 833.567i | −0.266775 | + | 0.367184i | ||||
\(23\) | 1586.12 | + | 515.361i | 0.625195 | + | 0.203138i | 0.604446 | − | 0.796646i | \(-0.293395\pi\) |
0.0207498 | + | 0.999785i | \(0.493395\pi\) | |||||||
\(24\) | −1757.31 | −0.622759 | ||||||||
\(25\) | 1699.27 | + | 2622.61i | 0.543768 | + | 0.839236i | ||||
\(26\) | 3254.55 | 0.944186 | ||||||||
\(27\) | 693.320 | + | 225.273i | 0.183031 | + | 0.0594703i | ||||
\(28\) | −970.538 | + | 1335.83i | −0.233947 | + | 0.322001i | ||||
\(29\) | 4297.68 | + | 3122.45i | 0.948941 | + | 0.689446i | 0.950556 | − | 0.310553i | \(-0.100514\pi\) |
−0.00161519 | + | 0.999999i | \(0.500514\pi\) | |||||||
\(30\) | −2482.20 | + | 325.477i | −0.503539 | + | 0.0660262i | ||||
\(31\) | −5770.51 | + | 4192.52i | −1.07847 | + | 0.783558i | −0.977416 | − | 0.211323i | \(-0.932223\pi\) |
−0.101058 | + | 0.994881i | \(0.532223\pi\) | |||||||
\(32\) | − | 2566.66i | − | 0.443092i | ||||||
\(33\) | 1095.40 | + | 1507.69i | 0.175101 | + | 0.241006i | ||||
\(34\) | 162.062 | + | 498.777i | 0.0240428 | + | 0.0739961i | ||||
\(35\) | −6088.71 | + | 11200.1i | −0.840147 | + | 1.54545i | ||||
\(36\) | −181.234 | + | 557.780i | −0.0233068 | + | 0.0717309i | ||||
\(37\) | 9797.24 | − | 3183.32i | 1.17652 | − | 0.382275i | 0.345447 | − | 0.938438i | \(-0.387727\pi\) |
0.831073 | + | 0.556163i | \(0.187727\pi\) | |||||||
\(38\) | 9531.64 | − | 3097.02i | 1.07080 | − | 0.347924i | ||||
\(39\) | 1819.05 | − | 5598.47i | 0.191507 | − | 0.589397i | ||||
\(40\) | −1419.10 | − | 10822.5i | −0.140237 | − | 1.06950i | ||||
\(41\) | 2011.33 | + | 6190.24i | 0.186863 | + | 0.575106i | 0.999975 | − | 0.00700121i | \(-0.00222857\pi\) |
−0.813112 | + | 0.582107i | \(0.802229\pi\) | |||||||
\(42\) | −6002.81 | − | 8262.15i | −0.525087 | − | 0.722720i | ||||
\(43\) | − | 18835.1i | − | 1.55345i | −0.629838 | − | 0.776726i | \(-0.716879\pi\) | ||
0.629838 | − | 0.776726i | \(-0.283121\pi\) | |||||||
\(44\) | −1212.95 | + | 881.257i | −0.0944517 | + | 0.0686232i | ||||
\(45\) | −827.481 | + | 4451.79i | −0.0609153 | + | 0.327720i | ||||
\(46\) | −6713.63 | − | 4877.74i | −0.467803 | − | 0.339878i | ||||
\(47\) | −3963.19 | + | 5454.86i | −0.261698 | + | 0.360196i | −0.919565 | − | 0.392938i | \(-0.871459\pi\) |
0.657867 | + | 0.753134i | \(0.271459\pi\) | |||||||
\(48\) | 6332.98 | + | 2057.71i | 0.396739 | + | 0.128908i | ||||
\(49\) | −35198.0 | −2.09425 | ||||||||
\(50\) | −4008.95 | − | 15024.0i | −0.226780 | − | 0.849884i | ||||
\(51\) | 948.575 | 0.0510677 | ||||||||
\(52\) | 4504.00 | + | 1463.44i | 0.230988 | + | 0.0750526i | ||||
\(53\) | −148.767 | + | 204.761i | −0.00727475 | + | 0.0100128i | −0.812639 | − | 0.582768i | \(-0.801970\pi\) |
0.805364 | + | 0.592780i | \(0.201970\pi\) | |||||||
\(54\) | −2934.65 | − | 2132.14i | −0.136953 | − | 0.0995021i | ||||
\(55\) | −8400.66 | + | 7963.65i | −0.374461 | + | 0.354981i | ||||
\(56\) | 36023.5 | − | 26172.6i | 1.53503 | − | 1.11526i | ||||
\(57\) | − | 18127.3i | − | 0.739003i | ||||||
\(58\) | −15536.9 | − | 21384.8i | −0.606451 | − | 0.834708i | ||||
\(59\) | −578.853 | − | 1781.53i | −0.0216490 | − | 0.0666288i | 0.939648 | − | 0.342142i | \(-0.111152\pi\) |
−0.961297 | + | 0.275513i | \(0.911152\pi\) | |||||||
\(60\) | −3581.49 | − | 665.712i | −0.128435 | − | 0.0238731i | ||||
\(61\) | −5399.72 | + | 16618.6i | −0.185801 | + | 0.571835i | −0.999961 | − | 0.00880431i | \(-0.997197\pi\) |
0.814161 | + | 0.580640i | \(0.197197\pi\) | |||||||
\(62\) | 33754.6 | − | 10967.5i | 1.11520 | − | 0.362352i | ||||
\(63\) | −17567.7 | + | 5708.08i | −0.557651 | + | 0.181192i | ||||
\(64\) | −11262.9 | + | 34663.6i | −0.343716 | + | 1.05785i | ||||
\(65\) | 35947.6 | + | 6681.80i | 1.05533 | + | 0.196160i | ||||
\(66\) | −2865.55 | − | 8819.25i | −0.0809744 | − | 0.249214i | ||||
\(67\) | −30336.3 | − | 41754.3i | −0.825610 | − | 1.13635i | −0.988724 | − | 0.149747i | \(-0.952154\pi\) |
0.163114 | − | 0.986607i | \(-0.447846\pi\) | |||||||
\(68\) | 763.134i | 0.0200137i | ||||||||
\(69\) | −12143.1 | + | 8822.47i | −0.307048 | + | 0.223084i | ||||
\(70\) | 46035.6 | − | 43640.8i | 1.12292 | − | 1.06450i | ||||
\(71\) | 56962.8 | + | 41385.9i | 1.34105 | + | 0.974332i | 0.999405 | + | 0.0345037i | \(0.0109850\pi\) |
0.341648 | + | 0.939828i | \(0.389015\pi\) | |||||||
\(72\) | 9296.28 | − | 12795.2i | 0.211338 | − | 0.290882i | ||||
\(73\) | 32974.2 | + | 10714.0i | 0.724213 | + | 0.235311i | 0.647849 | − | 0.761769i | \(-0.275669\pi\) |
0.0763643 | + | 0.997080i | \(0.475669\pi\) | |||||||
\(74\) | −51258.7 | −1.08815 | ||||||||
\(75\) | −28084.9 | − | 1501.11i | −0.576527 | − | 0.0308148i | ||||
\(76\) | 14583.5 | 0.289620 | ||||||||
\(77\) | −44909.8 | − | 14592.1i | −0.863206 | − | 0.280473i | ||||
\(78\) | −17216.8 | + | 23696.9i | −0.320417 | + | 0.441016i | ||||
\(79\) | 35575.1 | + | 25846.8i | 0.641326 | + | 0.465951i | 0.860305 | − | 0.509779i | \(-0.170273\pi\) |
−0.218979 | + | 0.975729i | \(0.570273\pi\) | |||||||
\(80\) | −7558.44 | + | 40663.9i | −0.132041 | + | 0.710369i | ||||
\(81\) | −5307.96 | + | 3856.46i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | − | 32387.0i | − | 0.531908i | ||||||
\(83\) | −11590.1 | − | 15952.4i | −0.184668 | − | 0.254174i | 0.706639 | − | 0.707575i | \(-0.250211\pi\) |
−0.891307 | + | 0.453401i | \(0.850211\pi\) | |||||||
\(84\) | −4592.18 | − | 14133.3i | −0.0710102 | − | 0.218547i | ||||
\(85\) | 766.013 | + | 5841.88i | 0.0114998 | + | 0.0877011i | ||||
\(86\) | −28961.6 | + | 89134.5i | −0.422256 | + | 1.29957i | ||||
\(87\) | −45470.0 | + | 14774.1i | −0.644061 | + | 0.209268i | ||||
\(88\) | 38452.5 | − | 12494.0i | 0.529319 | − | 0.171986i | ||||
\(89\) | −30142.4 | + | 92768.8i | −0.403369 | + | 1.24144i | 0.518880 | + | 0.854847i | \(0.326349\pi\) |
−0.922249 | + | 0.386596i | \(0.873651\pi\) | |||||||
\(90\) | 10761.1 | − | 19795.0i | 0.140040 | − | 0.257603i | ||||
\(91\) | 46092.0 | + | 141857.i | 0.583475 | + | 1.79575i | ||||
\(92\) | −7097.72 | − | 9769.18i | −0.0874278 | − | 0.120334i | ||||
\(93\) | − | 64194.7i | − | 0.769647i | ||||||
\(94\) | 27142.8 | − | 19720.4i | 0.316836 | − | 0.230195i | ||||
\(95\) | 111638. | − | 14638.5i | 1.26913 | − | 0.166413i | ||||
\(96\) | 18688.3 | + | 13577.8i | 0.206962 | + | 0.150367i | ||||
\(97\) | −38054.6 | + | 52377.7i | −0.410656 | + | 0.565219i | −0.963378 | − | 0.268146i | \(-0.913589\pi\) |
0.552722 | + | 0.833365i | \(0.313589\pi\) | |||||||
\(98\) | 166569. | + | 54121.7i | 1.75198 | + | 0.569254i | ||||
\(99\) | −16772.5 | −0.171992 | ||||||||
\(100\) | 1207.65 | − | 22594.5i | 0.0120765 | − | 0.225945i | ||||
\(101\) | −137595. | −1.34215 | −0.671074 | − | 0.741390i | \(-0.734167\pi\) | ||||
−0.671074 | + | 0.741390i | \(0.734167\pi\) | |||||||
\(102\) | −4488.99 | − | 1458.56i | −0.0427217 | − | 0.0138811i | ||||
\(103\) | −44038.8 | + | 60614.3i | −0.409018 | + | 0.562966i | −0.962979 | − | 0.269578i | \(-0.913116\pi\) |
0.553960 | + | 0.832543i | \(0.313116\pi\) | |||||||
\(104\) | −103320. | − | 75066.3i | −0.936700 | − | 0.680552i | ||||
\(105\) | −49340.3 | − | 103582.i | −0.436745 | − | 0.916880i | ||||
\(106\) | 1018.87 | − | 740.250i | 0.00880750 | − | 0.00639902i | ||||
\(107\) | 59416.0i | 0.501699i | 0.968026 | + | 0.250850i | \(0.0807100\pi\) | ||||
−0.968026 | + | 0.250850i | \(0.919290\pi\) | |||||||
\(108\) | −3102.54 | − | 4270.28i | −0.0255952 | − | 0.0352287i | ||||
\(109\) | −58739.2 | − | 180781.i | −0.473546 | − | 1.45742i | −0.847909 | − | 0.530142i | \(-0.822139\pi\) |
0.374363 | − | 0.927282i | \(-0.377861\pi\) | |||||||
\(110\) | 52000.0 | − | 24769.6i | 0.409753 | − | 0.195181i | ||||
\(111\) | −28649.8 | + | 88175.2i | −0.220706 | + | 0.679264i | ||||
\(112\) | −160468. | + | 52139.2i | −1.20877 | + | 0.392753i | ||||
\(113\) | 152429. | − | 49527.2i | 1.12298 | − | 0.364878i | 0.312075 | − | 0.950057i | \(-0.398976\pi\) |
0.810904 | + | 0.585179i | \(0.198976\pi\) | |||||||
\(114\) | −27873.1 | + | 85784.7i | −0.200874 | + | 0.618227i | ||||
\(115\) | −64139.9 | − | 67659.7i | −0.452256 | − | 0.477074i | ||||
\(116\) | −11885.9 | − | 36580.9i | −0.0820135 | − | 0.252412i | ||||
\(117\) | 31140.4 | + | 42861.1i | 0.210310 | + | 0.289467i | ||||
\(118\) | 9320.87i | 0.0616242i | ||||||||
\(119\) | −19445.1 | + | 14127.7i | −0.125876 | + | 0.0914541i | ||||
\(120\) | 86307.6 | + | 46919.2i | 0.547137 | + | 0.297439i | ||||
\(121\) | 95604.7 | + | 69460.9i | 0.593630 | + | 0.431298i | ||||
\(122\) | 51106.8 | − | 70342.4i | 0.310870 | − | 0.427876i | ||||
\(123\) | −55712.1 | − | 18102.0i | −0.332037 | − | 0.107885i | ||||
\(124\) | 51645.0 | 0.301629 | ||||||||
\(125\) | −13435.0 | − | 174175.i | −0.0769064 | − | 0.997038i | ||||
\(126\) | 91913.3 | 0.515765 | ||||||||
\(127\) | 77831.9 | + | 25289.1i | 0.428202 | + | 0.139131i | 0.515186 | − | 0.857079i | \(-0.327723\pi\) |
−0.0869842 | + | 0.996210i | \(0.527723\pi\) | |||||||
\(128\) | 58323.2 | − | 80275.0i | 0.314642 | − | 0.433067i | ||||
\(129\) | 137142. | + | 99639.2i | 0.725596 | + | 0.527176i | ||||
\(130\) | −159842. | − | 86894.8i | −0.829533 | − | 0.450958i | ||||
\(131\) | 66185.1 | − | 48086.3i | 0.336963 | − | 0.244818i | −0.406416 | − | 0.913688i | \(-0.633222\pi\) |
0.743379 | + | 0.668870i | \(0.233222\pi\) | |||||||
\(132\) | − | 13493.6i | − | 0.0674049i | ||||||
\(133\) | 269980. | + | 371596.i | 1.32344 | + | 1.82155i | ||||
\(134\) | 79359.0 | + | 244242.i | 0.381798 | + | 1.17505i | ||||
\(135\) | −28036.7 | − | 29575.3i | −0.132401 | − | 0.139667i | ||||
\(136\) | 6359.41 | − | 19572.3i | 0.0294829 | − | 0.0907390i | ||||
\(137\) | −331449. | + | 107694.i | −1.50874 | + | 0.490221i | −0.942554 | − | 0.334054i | \(-0.891583\pi\) |
−0.566191 | + | 0.824274i | \(0.691583\pi\) | |||||||
\(138\) | 71031.1 | − | 23079.4i | 0.317505 | − | 0.103164i | ||||
\(139\) | 7462.45 | − | 22967.1i | 0.0327600 | − | 0.100825i | −0.933339 | − | 0.358995i | \(-0.883119\pi\) |
0.966099 | + | 0.258170i | \(0.0831195\pi\) | |||||||
\(140\) | 83332.6 | − | 39694.5i | 0.359331 | − | 0.171163i | ||||
\(141\) | −18752.1 | − | 57713.2i | −0.0794334 | − | 0.244471i | ||||
\(142\) | −205932. | − | 283441.i | −0.857042 | − | 1.17962i | ||||
\(143\) | 135436.i | 0.553851i | ||||||||
\(144\) | −48484.4 | + | 35226.0i | −0.194848 | + | 0.141565i | ||||
\(145\) | −127706. | − | 268100.i | −0.504421 | − | 1.05895i | ||||
\(146\) | −139571. | − | 101404.i | −0.541893 | − | 0.393708i | ||||
\(147\) | 186200. | − | 256282.i | 0.710700 | − | 0.978194i | ||||
\(148\) | −70937.4 | − | 23049.0i | −0.266208 | − | 0.0864962i | ||||
\(149\) | −469863. | −1.73383 | −0.866914 | − | 0.498458i | \(-0.833900\pi\) | ||||
−0.866914 | + | 0.498458i | \(0.833900\pi\) | |||||||
\(150\) | 130599. | + | 50288.1i | 0.473929 | + | 0.182489i | ||||
\(151\) | −229067. | −0.817563 | −0.408781 | − | 0.912632i | \(-0.634046\pi\) | ||||
−0.408781 | + | 0.912632i | \(0.634046\pi\) | |||||||
\(152\) | −374027. | − | 121529.i | −1.31309 | − | 0.426648i | ||||
\(153\) | −5018.03 | + | 6906.72i | −0.0173302 | + | 0.0238530i | ||||
\(154\) | 190092. | + | 138110.i | 0.645894 | + | 0.469270i | ||||
\(155\) | 395348. | − | 51839.8i | 1.32175 | − | 0.173314i | ||||
\(156\) | −34482.0 | + | 25052.6i | −0.113444 | + | 0.0824217i | ||||
\(157\) | − | 184836.i | − | 0.598464i | −0.954180 | − | 0.299232i | \(-0.903270\pi\) | ||
0.954180 | − | 0.299232i | \(-0.0967305\pi\) | |||||||
\(158\) | −128611. | − | 177018.i | −0.409860 | − | 0.564124i | ||||
\(159\) | −703.905 | − | 2166.40i | −0.00220811 | − | 0.00679587i | ||||
\(160\) | −68528.6 | + | 126058.i | −0.211628 | + | 0.389287i | ||||
\(161\) | 117526. | − | 361708.i | 0.357330 | − | 1.09975i | ||||
\(162\) | 31048.9 | − | 10088.4i | 0.0929521 | − | 0.0302020i | ||||
\(163\) | 341047. | − | 110813.i | 1.00541 | − | 0.326679i | 0.240387 | − | 0.970677i | \(-0.422726\pi\) |
0.765027 | + | 0.643998i | \(0.222726\pi\) | |||||||
\(164\) | 14563.1 | − | 44820.7i | 0.0422810 | − | 0.130127i | ||||
\(165\) | −13544.5 | − | 103295.i | −0.0387304 | − | 0.295371i | ||||
\(166\) | 30319.5 | + | 93313.8i | 0.0853988 | + | 0.262830i | ||||
\(167\) | 341658. | + | 470252.i | 0.947984 | + | 1.30479i | 0.952417 | + | 0.304798i | \(0.0985888\pi\) |
−0.00443329 | + | 0.999990i | \(0.501411\pi\) | |||||||
\(168\) | 400747.i | 1.09546i | ||||||||
\(169\) | 45715.5 | − | 33214.2i | 0.123125 | − | 0.0894556i | ||||
\(170\) | 5357.63 | − | 28823.7i | 0.0142184 | − | 0.0764939i | ||||
\(171\) | 131988. | + | 95894.6i | 0.345178 | + | 0.250786i | ||||
\(172\) | −80160.3 | + | 110331.i | −0.206604 | + | 0.284366i | ||||
\(173\) | −157034. | − | 51023.5i | −0.398914 | − | 0.129615i | 0.102688 | − | 0.994714i | \(-0.467256\pi\) |
−0.501602 | + | 0.865099i | \(0.667256\pi\) | |||||||
\(174\) | 237897. | 0.595685 | ||||||||
\(175\) | 598076. | − | 387513.i | 1.47626 | − | 0.956514i | ||||
\(176\) | −153205. | −0.372812 | ||||||||
\(177\) | 16033.7 | + | 5209.68i | 0.0384682 | + | 0.0124991i | ||||
\(178\) | 285289. | − | 392666.i | 0.674893 | − | 0.928910i | ||||
\(179\) | −423486. | − | 307680.i | −0.987884 | − | 0.717740i | −0.0284276 | − | 0.999596i | \(-0.509050\pi\) |
−0.959457 | + | 0.281856i | \(0.909050\pi\) | |||||||
\(180\) | 23793.5 | − | 22555.7i | 0.0547364 | − | 0.0518889i | ||||
\(181\) | −654808. | + | 475746.i | −1.48565 | + | 1.07939i | −0.509973 | + | 0.860190i | \(0.670345\pi\) |
−0.975680 | + | 0.219200i | \(0.929655\pi\) | |||||||
\(182\) | − | 742188.i | − | 1.66087i | ||||||
\(183\) | −92438.0 | − | 127230.i | −0.204043 | − | 0.280842i | ||||
\(184\) | 100628. | + | 309700.i | 0.219115 | + | 0.674367i | ||||
\(185\) | −566170. | − | 105237.i | −1.21623 | − | 0.226069i | ||||
\(186\) | −98707.9 | + | 303792.i | −0.209204 | + | 0.643863i | ||||
\(187\) | −20756.2 | + | 6744.10i | −0.0434054 | + | 0.0141033i | ||||
\(188\) | 46430.5 | − | 15086.2i | 0.0958096 | − | 0.0311304i | ||||
\(189\) | 51372.7 | − | 158109.i | 0.104611 | − | 0.321960i | ||||
\(190\) | −550821. | − | 102384.i | −1.10695 | − | 0.205755i | ||||
\(191\) | 14788.5 | + | 45514.2i | 0.0293318 | + | 0.0902741i | 0.964651 | − | 0.263532i | \(-0.0848874\pi\) |
−0.935319 | + | 0.353806i | \(0.884887\pi\) | |||||||
\(192\) | −192810. | − | 265380.i | −0.377464 | − | 0.519535i | ||||
\(193\) | 669045.i | 1.29289i | 0.762960 | + | 0.646446i | \(0.223746\pi\) | ||||
−0.762960 | + | 0.646446i | \(0.776254\pi\) | |||||||
\(194\) | 260625. | − | 189355.i | 0.497179 | − | 0.361221i | ||||
\(195\) | −238816. | + | 226393.i | −0.449757 | + | 0.426360i | ||||
\(196\) | 206180. | + | 149799.i | 0.383360 | + | 0.278528i | ||||
\(197\) | −496130. | + | 682865.i | −0.910815 | + | 1.25363i | 0.0560722 | + | 0.998427i | \(0.482142\pi\) |
−0.966888 | + | 0.255203i | \(0.917858\pi\) | |||||||
\(198\) | 79373.3 | + | 25789.9i | 0.143884 | + | 0.0467506i | ||||
\(199\) | 67482.7 | 0.120798 | 0.0603990 | − | 0.998174i | \(-0.480763\pi\) | ||||
0.0603990 | + | 0.998174i | \(0.480763\pi\) | |||||||
\(200\) | −219259. | + | 569422.i | −0.387599 | + | 1.00660i | ||||
\(201\) | 464500. | 0.810953 | ||||||||
\(202\) | 651150. | + | 211571.i | 1.12280 | + | 0.364820i | ||||
\(203\) | 712062. | − | 980069.i | 1.21277 | − | 1.66923i | ||||
\(204\) | −5556.49 | − | 4037.03i | −0.00934814 | − | 0.00679182i | ||||
\(205\) | 66492.6 | − | 357726.i | 0.110507 | − | 0.594519i | ||||
\(206\) | 301610. | − | 219132.i | 0.495196 | − | 0.359781i | ||||
\(207\) | − | 135087.i | − | 0.219123i | ||||||
\(208\) | 284445. | + | 391505.i | 0.455869 | + | 0.627450i | ||||
\(209\) | 128880. | + | 396652.i | 0.204089 | + | 0.628122i | ||||
\(210\) | 74223.7 | + | 566055.i | 0.116143 | + | 0.885749i | ||||
\(211\) | 91735.4 | − | 282333.i | 0.141851 | − | 0.436571i | −0.854742 | − | 0.519053i | \(-0.826285\pi\) |
0.996593 | + | 0.0824821i | \(0.0262847\pi\) | |||||||
\(212\) | 1742.88 | − | 566.295i | 0.00266334 | − | 0.000865373i | ||||
\(213\) | −602675. | + | 195821.i | −0.910194 | + | 0.295740i | ||||
\(214\) | 91360.0 | − | 281177.i | 0.136371 | − | 0.419706i | ||||
\(215\) | −502889. | + | 925060.i | −0.741952 | + | 1.36482i | ||||
\(216\) | 43986.1 | + | 135375.i | 0.0641477 | + | 0.197426i | ||||
\(217\) | 956088. | + | 1.31594e6i | 1.37832 | + | 1.89709i | ||||
\(218\) | 945837.i | 1.34795i | ||||||||
\(219\) | −252445. | + | 183412.i | −0.355678 | + | 0.258415i | ||||
\(220\) | 83101.2 | − | 10896.6i | 0.115758 | − | 0.0151787i | ||||
\(221\) | 55770.9 | + | 40519.9i | 0.0768116 | + | 0.0558069i | ||||
\(222\) | 271162. | − | 373223.i | 0.369272 | − | 0.508260i | ||||
\(223\) | −1.36478e6 | − | 443445.i | −1.83781 | − | 0.597142i | −0.998574 | − | 0.0533785i | \(-0.983001\pi\) |
−0.839239 | − | 0.543763i | \(-0.816999\pi\) | |||||||
\(224\) | −585318. | −0.779420 | ||||||||
\(225\) | 159501. | − | 196550.i | 0.210042 | − | 0.258831i | ||||
\(226\) | −797502. | −1.03863 | ||||||||
\(227\) | 655313. | + | 212924.i | 0.844081 | + | 0.274259i | 0.698965 | − | 0.715156i | \(-0.253644\pi\) |
0.145116 | + | 0.989415i | \(0.453644\pi\) | |||||||
\(228\) | −77147.7 | + | 106185.i | −0.0982847 | + | 0.135277i | ||||
\(229\) | 409597. | + | 297589.i | 0.516140 | + | 0.374998i | 0.815148 | − | 0.579253i | \(-0.196656\pi\) |
−0.299008 | + | 0.954251i | \(0.596656\pi\) | |||||||
\(230\) | 199497. | + | 418813.i | 0.248666 | + | 0.522036i | ||||
\(231\) | 343823. | − | 249802.i | 0.423941 | − | 0.308011i | ||||
\(232\) | 1.03725e6i | 1.26521i | ||||||||
\(233\) | −496503. | − | 683378.i | −0.599146 | − | 0.824653i | 0.396484 | − | 0.918042i | \(-0.370230\pi\) |
−0.995630 | + | 0.0933883i | \(0.970230\pi\) | |||||||
\(234\) | −81462.6 | − | 250716.i | −0.0972565 | − | 0.299325i | ||||
\(235\) | 340288. | − | 162092.i | 0.401955 | − | 0.191466i | ||||
\(236\) | −4191.21 | + | 12899.2i | −0.00489846 | + | 0.0150759i | ||||
\(237\) | −376390. | + | 122296.i | −0.435278 | + | 0.141430i | ||||
\(238\) | 113744. | − | 36957.7i | 0.130163 | − | 0.0422924i | ||||
\(239\) | −270163. | + | 831477.i | −0.305937 | + | 0.941576i | 0.673389 | + | 0.739288i | \(0.264838\pi\) |
−0.979326 | + | 0.202288i | \(0.935162\pi\) | |||||||
\(240\) | −256095. | − | 270149.i | −0.286994 | − | 0.302744i | ||||
\(241\) | −65715.5 | − | 202252.i | −0.0728828 | − | 0.224310i | 0.907979 | − | 0.419016i | \(-0.137625\pi\) |
−0.980862 | + | 0.194706i | \(0.937625\pi\) | |||||||
\(242\) | −345630. | − | 475718.i | −0.379378 | − | 0.522170i | ||||
\(243\) | − | 59049.0i | − | 0.0641500i | ||||||
\(244\) | 102357. | − | 74366.8i | 0.110064 | − | 0.0799659i | ||||
\(245\) | 1.72870e6 | + | 939769.i | 1.83994 | + | 1.00024i | ||||
\(246\) | 235815. | + | 171330.i | 0.248447 | + | 0.180507i | ||||
\(247\) | 774337. | − | 1.06578e6i | 0.807584 | − | 1.11154i | ||||
\(248\) | −1.32455e6 | − | 430372.i | −1.36754 | − | 0.444340i | ||||
\(249\) | 177465. | 0.181390 | ||||||||
\(250\) | −204239. | + | 844917.i | −0.206675 | + | 0.854996i | ||||
\(251\) | 1.65683e6 | 1.65994 | 0.829972 | − | 0.557805i | \(-0.188356\pi\) | ||||
0.829972 | + | 0.557805i | \(0.188356\pi\) | |||||||
\(252\) | 127199. | + | 41329.6i | 0.126178 | + | 0.0409978i | ||||
\(253\) | 202983. | − | 279382.i | 0.199370 | − | 0.274409i | ||||
\(254\) | −329442. | − | 239354.i | −0.320402 | − | 0.232786i | ||||
\(255\) | −46587.9 | − | 25326.5i | −0.0448665 | − | 0.0243907i | ||||
\(256\) | 544133. | − | 395336.i | 0.518926 | − | 0.377022i | ||||
\(257\) | − | 777808.i | − | 0.734581i | −0.930106 | − | 0.367291i | \(-0.880285\pi\) | ||
0.930106 | − | 0.367291i | \(-0.119715\pi\) | |||||||
\(258\) | −495793. | − | 682401.i | −0.463715 | − | 0.638249i | ||||
\(259\) | −725943. | − | 2.23422e6i | −0.672439 | − | 2.06956i | ||||
\(260\) | −182134. | − | 192129.i | −0.167093 | − | 0.176262i | ||||
\(261\) | 132967. | − | 409230.i | 0.120821 | − | 0.371849i | ||||
\(262\) | −387150. | + | 125793.i | −0.348439 | + | 0.113215i | ||||
\(263\) | −768591. | + | 249730.i | −0.685182 | + | 0.222629i | −0.630863 | − | 0.775895i | \(-0.717299\pi\) |
−0.0543191 | + | 0.998524i | \(0.517299\pi\) | |||||||
\(264\) | −112446. | + | 346072.i | −0.0992963 | + | 0.305603i | ||||
\(265\) | 12773.5 | − | 6084.51i | 0.0111737 | − | 0.00532244i | ||||
\(266\) | −706263. | − | 2.17365e6i | −0.612015 | − | 1.88359i | ||||
\(267\) | −516008. | − | 710224.i | −0.442974 | − | 0.609702i | ||||
\(268\) | 373693.i | 0.317817i | ||||||||
\(269\) | 1.35579e6 | − | 985038.i | 1.14238 | − | 0.829989i | 0.154932 | − | 0.987925i | \(-0.450484\pi\) |
0.987449 | + | 0.157937i | \(0.0504841\pi\) | |||||||
\(270\) | 87203.6 | + | 183071.i | 0.0727989 | + | 0.152830i | ||||
\(271\) | 322704. | + | 234458.i | 0.266920 | + | 0.193929i | 0.713192 | − | 0.700968i | \(-0.247249\pi\) |
−0.446272 | + | 0.894897i | \(0.647249\pi\) | |||||||
\(272\) | −45836.1 | + | 63087.9i | −0.0375651 | + | 0.0517040i | ||||
\(273\) | −1.27671e6 | − | 414828.i | −1.03678 | − | 0.336869i | ||||
\(274\) | 1.73413e6 | 1.39542 | ||||||||
\(275\) | 625211. | − | 166829.i | 0.498534 | − | 0.133027i | ||||
\(276\) | 108678. | 0.0858757 | ||||||||
\(277\) | −882420. | − | 286716.i | −0.690996 | − | 0.224518i | −0.0575930 | − | 0.998340i | \(-0.518343\pi\) |
−0.633403 | + | 0.773822i | \(0.718343\pi\) | |||||||
\(278\) | −70629.8 | + | 97213.6i | −0.0548121 | + | 0.0754423i | ||||
\(279\) | 467411. | + | 339594.i | 0.359492 | + | 0.261186i | ||||
\(280\) | −2.46804e6 | + | 323620.i | −1.88129 | + | 0.246683i | ||||
\(281\) | −716105. | + | 520281.i | −0.541017 | + | 0.393072i | −0.824463 | − | 0.565917i | \(-0.808522\pi\) |
0.283446 | + | 0.958988i | \(0.408522\pi\) | |||||||
\(282\) | 301953.i | 0.226108i | ||||||||
\(283\) | −1.32890e6 | − | 1.82908e6i | −0.986341 | − | 1.35758i | −0.933342 | − | 0.358988i | \(-0.883122\pi\) |
−0.0529993 | − | 0.998595i | \(-0.516878\pi\) | |||||||
\(284\) | −157539. | − | 484855.i | −0.115902 | − | 0.356710i | ||||
\(285\) | −483990. | + | 890295.i | −0.352959 | + | 0.649265i | ||||
\(286\) | 208250. | − | 640929.i | 0.150547 | − | 0.463335i | ||||
\(287\) | 1.41166e6 | − | 458676.i | 1.01164 | − | 0.328701i | ||||
\(288\) | −197725. | + | 64244.6i | −0.140469 | + | 0.0456410i | ||||
\(289\) | 435327. | − | 1.33980e6i | 0.306599 | − | 0.943616i | ||||
\(290\) | 192112. | + | 1.46511e6i | 0.134140 | + | 1.02300i | ||||
\(291\) | −180058. | − | 554163.i | −0.124647 | − | 0.383623i | ||||
\(292\) | −147556. | − | 203094.i | −0.101275 | − | 0.139392i | ||||
\(293\) | 176010.i | 0.119775i | 0.998205 | + | 0.0598877i | \(0.0190743\pi\) | ||||
−0.998205 | + | 0.0598877i | \(0.980926\pi\) | |||||||
\(294\) | −1.27523e6 | + | 926510.i | −0.860440 | + | 0.625146i | ||||
\(295\) | −19136.3 | + | 102952.i | −0.0128028 | + | 0.0688779i | ||||
\(296\) | 1.62727e6 | + | 1.18228e6i | 1.07952 | + | 0.784318i | ||||
\(297\) | 88727.6 | − | 122123.i | 0.0583670 | − | 0.0803353i | ||||
\(298\) | 2.22356e6 | + | 722478.i | 1.45047 | + | 0.471285i | ||||
\(299\) | −1.09081e6 | −0.705621 | ||||||||
\(300\) | 158125. | + | 128319.i | 0.101437 | + | 0.0823169i | ||||
\(301\) | −4.29528e6 | −2.73260 | ||||||||
\(302\) | 1.08403e6 | + | 352222.i | 0.683948 | + | 0.222228i | ||||
\(303\) | 727889. | − | 1.00185e6i | 0.455469 | − | 0.626899i | ||||
\(304\) | 1.20561e6 | + | 875929.i | 0.748211 | + | 0.543607i | ||||
\(305\) | 708909. | − | 672030.i | 0.436356 | − | 0.413656i | ||||
\(306\) | 34367.1 | − | 24969.1i | 0.0209816 | − | 0.0152440i | ||||
\(307\) | 1.81146e6i | 1.09694i | 0.836170 | + | 0.548470i | \(0.184789\pi\) | ||||
−0.836170 | + | 0.548470i | \(0.815211\pi\) | |||||||
\(308\) | 200967. | + | 276608.i | 0.120711 | + | 0.166145i | ||||
\(309\) | −208373. | − | 641307.i | −0.124150 | − | 0.382094i | ||||
\(310\) | −1.95064e6 | − | 362577.i | −1.15285 | − | 0.214287i | ||||
\(311\) | 268369. | − | 825955.i | 0.157337 | − | 0.484234i | −0.841053 | − | 0.540953i | \(-0.818064\pi\) |
0.998390 | + | 0.0567185i | \(0.0180638\pi\) | |||||||
\(312\) | 1.09314e6 | − | 355182.i | 0.635753 | − | 0.206569i | ||||
\(313\) | 1.15271e6 | − | 374537.i | 0.665055 | − | 0.216089i | 0.0430142 | − | 0.999074i | \(-0.486304\pi\) |
0.622040 | + | 0.782985i | \(0.286304\pi\) | |||||||
\(314\) | −284211. | + | 874710.i | −0.162673 | + | 0.500657i | ||||
\(315\) | 1.01521e6 | + | 188704.i | 0.576475 | + | 0.107153i | ||||
\(316\) | −98388.1 | − | 302808.i | −0.0554275 | − | 0.170588i | ||||
\(317\) | 1.72119e6 | + | 2.36902e6i | 0.962014 | + | 1.32410i | 0.945979 | + | 0.324228i | \(0.105104\pi\) |
0.0160354 | + | 0.999871i | \(0.494896\pi\) | |||||||
\(318\) | 11334.5i | 0.00628542i | ||||||||
\(319\) | 889911. | − | 646558.i | 0.489632 | − | 0.355739i | ||||
\(320\) | 1.47866e6 | − | 1.40174e6i | 0.807224 | − | 0.765231i | ||||
\(321\) | −432617. | − | 314314.i | −0.234337 | − | 0.170256i | ||||
\(322\) | −1.11235e6 | + | 1.53102e6i | −0.597862 | + | 0.822887i | ||||
\(323\) | 201895. | + | 65599.7i | 0.107676 | + | 0.0349861i | ||||
\(324\) | 47505.2 | 0.0251408 | ||||||||
\(325\) | −1.58711e6 | − | 1.28795e6i | −0.833488 | − | 0.676379i | ||||
\(326\) | −1.78434e6 | −0.929895 | ||||||||
\(327\) | 1.62703e6 | + | 528653.i | 0.841444 | + | 0.273402i | ||||
\(328\) | −747008. | + | 1.02817e6i | −0.383390 | + | 0.527691i | ||||
\(329\) | 1.24396e6 | + | 903790.i | 0.633602 | + | 0.460339i | ||||
\(330\) | −94732.3 | + | 509653.i | −0.0478865 | + | 0.257626i | ||||
\(331\) | 43876.6 | − | 31878.2i | 0.0220122 | − | 0.0159928i | −0.576725 | − | 0.816939i | \(-0.695669\pi\) |
0.598737 | + | 0.800946i | \(0.295669\pi\) | |||||||
\(332\) | 142771.i | 0.0710878i | ||||||||
\(333\) | −490457. | − | 675057.i | −0.242377 | − | 0.333603i | ||||
\(334\) | −893771. | − | 2.75074e6i | −0.438389 | − | 1.34922i | ||||
\(335\) | 375103. | + | 2.86066e6i | 0.182616 | + | 1.39269i | ||||
\(336\) | 469253. | − | 1.44421e6i | 0.226756 | − | 0.697883i | ||||
\(337\) | −1.14687e6 | + | 372642.i | −0.550099 | + | 0.178738i | −0.570861 | − | 0.821046i | \(-0.693391\pi\) |
0.0207625 | + | 0.999784i | \(0.493391\pi\) | |||||||
\(338\) | −267413. | + | 86887.7i | −0.127318 | + | 0.0413682i | ||||
\(339\) | −445745. | + | 1.37186e6i | −0.210662 | + | 0.648352i | ||||
\(340\) | 20375.3 | − | 37480.2i | 0.00955886 | − | 0.0175835i | ||||
\(341\) | 456406. | + | 1.40467e6i | 0.212552 | + | 0.654168i | ||||
\(342\) | −477161. | − | 656756.i | −0.220597 | − | 0.303626i | ||||
\(343\) | 4.19400e6i | 1.92483i | ||||||||
\(344\) | 2.97531e6 | − | 2.16169e6i | 1.35561 | − | 0.984912i | ||||
\(345\) | 831945. | − | 109088.i | 0.376311 | − | 0.0493436i | ||||
\(346\) | 664686. | + | 482922.i | 0.298487 | + | 0.216864i | ||||
\(347\) | 2691.42 | − | 3704.42i | 0.00119994 | − | 0.00165157i | −0.808417 | − | 0.588611i | \(-0.799675\pi\) |
0.809617 | + | 0.586959i | \(0.199675\pi\) | |||||||
\(348\) | 329228. | + | 106973.i | 0.145730 | + | 0.0473505i | ||||
\(349\) | −1.25202e6 | −0.550236 | −0.275118 | − | 0.961410i | \(-0.588717\pi\) | ||||
−0.275118 | + | 0.961410i | \(0.588717\pi\) | |||||||
\(350\) | −3.42616e6 | + | 914225.i | −1.49499 | + | 0.398917i | ||||
\(351\) | −476813. | −0.206576 | ||||||||
\(352\) | −505461. | − | 164234.i | −0.217436 | − | 0.0706492i | ||||
\(353\) | −1.65591e6 | + | 2.27917e6i | −0.707295 | + | 0.973508i | 0.292556 | + | 0.956248i | \(0.405494\pi\) |
−0.999851 | + | 0.0172596i | \(0.994506\pi\) | |||||||
\(354\) | −67866.7 | − | 49308.0i | −0.0287838 | − | 0.0209127i | ||||
\(355\) | −1.69266e6 | − | 3.55349e6i | −0.712852 | − | 1.49652i | ||||
\(356\) | 571379. | − | 415131.i | 0.238946 | − | 0.173604i | ||||
\(357\) | − | 216319.i | − | 0.0898305i | ||||||
\(358\) | 1.53098e6 | + | 2.10722e6i | 0.631339 | + | 0.868964i | ||||
\(359\) | 1.46362e6 | + | 4.50457e6i | 0.599368 | + | 1.84467i | 0.531656 | + | 0.846961i | \(0.321570\pi\) |
0.0677125 | + | 0.997705i | \(0.478430\pi\) | |||||||
\(360\) | −798199. | + | 380213.i | −0.324605 | + | 0.154622i | ||||
\(361\) | 488457. | − | 1.50332e6i | 0.197269 | − | 0.607130i | ||||
\(362\) | 3.83030e6 | − | 1.24454e6i | 1.53625 | − | 0.499158i | ||||
\(363\) | −1.01151e6 | + | 328660.i | −0.402906 | + | 0.130912i | ||||
\(364\) | 333731. | − | 1.02712e6i | 0.132021 | − | 0.406319i | ||||
\(365\) | −1.33342e6 | − | 1.40659e6i | −0.523883 | − | 0.552632i | ||||
\(366\) | 241816. | + | 744232.i | 0.0943587 | + | 0.290406i | ||||
\(367\) | 1.97084e6 | + | 2.71263e6i | 0.763813 | + | 1.05130i | 0.996887 | + | 0.0788390i | \(0.0251213\pi\) |
−0.233075 | + | 0.972459i | \(0.574879\pi\) | |||||||
\(368\) | − | 1.23392e6i | − | 0.474973i | ||||||
\(369\) | 426524. | − | 309888.i | 0.163071 | − | 0.118478i | ||||
\(370\) | 2.51750e6 | + | 1.36858e6i | 0.956015 | + | 0.519717i | ||||
\(371\) | 46694.9 | + | 33925.8i | 0.0176131 | + | 0.0127966i | ||||
\(372\) | −273205. | + | 376035.i | −0.102360 | + | 0.140887i | ||||
\(373\) | 1.37397e6 | + | 446429.i | 0.511334 | + | 0.166142i | 0.553309 | − | 0.832976i | \(-0.313365\pi\) |
−0.0419749 | + | 0.999119i | \(0.513365\pi\) | |||||||
\(374\) | 108596. | 0.0401452 | ||||||||
\(375\) | 1.33927e6 | + | 823577.i | 0.491802 | + | 0.302431i | ||||
\(376\) | −1.31653e6 | −0.480244 | ||||||||
\(377\) | −3.30448e6 | − | 1.07369e6i | −1.19743 | − | 0.389069i | ||||
\(378\) | −486227. | + | 669235.i | −0.175029 | + | 0.240907i | ||||
\(379\) | 2.55437e6 | + | 1.85586e6i | 0.913452 | + | 0.663662i | 0.941886 | − | 0.335934i | \(-0.109052\pi\) |
−0.0284335 | + | 0.999596i | \(0.509052\pi\) | |||||||
\(380\) | −716247. | − | 389372.i | −0.254451 | − | 0.138327i | ||||
\(381\) | −595870. | + | 432925.i | −0.210300 | + | 0.152792i | ||||
\(382\) | − | 238128.i | − | 0.0834935i | ||||||
\(383\) | −1.86725e6 | − | 2.57006e6i | −0.650439 | − | 0.895253i | 0.348679 | − | 0.937242i | \(-0.386630\pi\) |
−0.999118 | + | 0.0419896i | \(0.986630\pi\) | |||||||
\(384\) | 275961. | + | 849320.i | 0.0955035 | + | 0.293930i | ||||
\(385\) | 1.81608e6 | + | 1.91574e6i | 0.624429 | + | 0.658695i | ||||
\(386\) | 1.02875e6 | − | 3.16616e6i | 0.351431 | − | 1.08159i | ||||
\(387\) | −1.45098e6 | + | 471451.i | −0.492474 | + | 0.160014i | ||||
\(388\) | 445827. | − | 144858.i | 0.150344 | − | 0.0488498i | ||||
\(389\) | −1.26001e6 | + | 3.87792e6i | −0.422183 | + | 1.29935i | 0.483483 | + | 0.875354i | \(0.339372\pi\) |
−0.905666 | + | 0.423992i | \(0.860628\pi\) | |||||||
\(390\) | 1.47827e6 | − | 704158.i | 0.492145 | − | 0.234427i | ||||
\(391\) | −54317.6 | − | 167172.i | −0.0179680 | − | 0.0552997i | ||||
\(392\) | −4.03964e6 | − | 5.56009e6i | −1.32778 | − | 1.82754i | ||||
\(393\) | 736283.i | 0.240472i | ||||||||
\(394\) | 3.39786e6 | − | 2.46869e6i | 1.10272 | − | 0.801172i | ||||
\(395\) | −1.05712e6 | − | 2.21927e6i | −0.340904 | − | 0.715677i | ||||
\(396\) | 98248.6 | + | 71381.8i | 0.0314839 | + | 0.0228744i | ||||
\(397\) | −2.63752e6 | + | 3.63023e6i | −0.839884 | + | 1.15600i | 0.146118 | + | 0.989267i | \(0.453322\pi\) |
−0.986002 | + | 0.166734i | \(0.946678\pi\) | |||||||
\(398\) | −319352. | − | 103764.i | −0.101056 | − | 0.0328350i | ||||
\(399\) | −4.13386e6 | −1.29994 | ||||||||
\(400\) | 1.45693e6 | − | 1.79534e6i | 0.455289 | − | 0.561044i | ||||
\(401\) | −468921. | −0.145626 | −0.0728130 | − | 0.997346i | \(-0.523198\pi\) | ||||
−0.0728130 | + | 0.997346i | \(0.523198\pi\) | |||||||
\(402\) | −2.19818e6 | − | 714231.i | −0.678418 | − | 0.220431i | ||||
\(403\) | 2.74218e6 | − | 3.77429e6i | 0.841072 | − | 1.15764i | ||||
\(404\) | 805996. | + | 585591.i | 0.245686 | + | 0.178501i | ||||
\(405\) | 363658. | − | 47684.4i | 0.110168 | − | 0.0144457i | ||||
\(406\) | −4.87671e6 | + | 3.54314e6i | −1.46829 | + | 1.06678i | ||||
\(407\) | − | 2.13309e6i | − | 0.638299i | ||||||
\(408\) | 108867. | + | 149842.i | 0.0323777 | + | 0.0445640i | ||||
\(409\) | 228160. | + | 702204.i | 0.0674421 | + | 0.207565i | 0.979098 | − | 0.203389i | \(-0.0651956\pi\) |
−0.911656 | + | 0.410954i | \(0.865196\pi\) | |||||||
\(410\) | −864718. | + | 1.59064e6i | −0.254047 | + | 0.467318i | ||||
\(411\) | 969250. | − | 2.98304e6i | 0.283029 | − | 0.871074i | ||||
\(412\) | 515935. | − | 167637.i | 0.149745 | − | 0.0486551i | ||||
\(413\) | −406270. | + | 132005.i | −0.117203 | + | 0.0380816i | ||||
\(414\) | −207715. | + | 639280.i | −0.0595616 | + | 0.183312i | ||||
\(415\) | 143310. | + | 1.09293e6i | 0.0408466 | + | 0.311510i | ||||
\(416\) | 518767. | + | 1.59660e6i | 0.146973 | + | 0.452338i | ||||
\(417\) | 127750. | + | 175833.i | 0.0359766 | + | 0.0495175i | ||||
\(418\) | − | 2.07527e6i | − | 0.580942i | ||||||
\(419\) | −1.54936e6 | + | 1.12568e6i | −0.431140 | + | 0.313241i | −0.782105 | − | 0.623147i | \(-0.785854\pi\) |
0.350965 | + | 0.936389i | \(0.385854\pi\) | |||||||
\(420\) | −151813. | + | 816744.i | −0.0419939 | + | 0.225924i | ||||
\(421\) | −3.98909e6 | − | 2.89825e6i | −1.09690 | − | 0.796948i | −0.116353 | − | 0.993208i | \(-0.537120\pi\) |
−0.980552 | + | 0.196260i | \(0.937120\pi\) | |||||||
\(422\) | −868248. | + | 1.19504e6i | −0.237336 | + | 0.326664i | ||||
\(423\) | 519418. | + | 168769.i | 0.141145 | + | 0.0458609i | ||||
\(424\) | −49419.1 | −0.0133500 | ||||||||
\(425\) | 118354. | − | 307367.i | 0.0317840 | − | 0.0825440i | ||||
\(426\) | 3.15317e6 | 0.841827 | ||||||||
\(427\) | 3.78982e6 | + | 1.23139e6i | 1.00589 | + | 0.326832i | ||||
\(428\) | 252868. | − | 348042.i | 0.0667243 | − | 0.0918381i | ||||
\(429\) | −986128. | − | 716464.i | −0.258696 | − | 0.187954i | ||||
\(430\) | 3.80225e6 | − | 3.60445e6i | 0.991675 | − | 0.940087i | ||||
\(431\) | −1.10784e6 | + | 804891.i | −0.287265 | + | 0.208710i | −0.722080 | − | 0.691809i | \(-0.756814\pi\) |
0.434815 | + | 0.900520i | \(0.356814\pi\) | |||||||
\(432\) | − | 539370.i | − | 0.139052i | ||||||
\(433\) | −301536. | − | 415029.i | −0.0772893 | − | 0.106380i | 0.768622 | − | 0.639703i | \(-0.220943\pi\) |
−0.845911 | + | 0.533324i | \(0.820943\pi\) | |||||||
\(434\) | −2.50111e6 | − | 7.69761e6i | −0.637394 | − | 1.96170i | ||||
\(435\) | 2.62765e6 | + | 488418.i | 0.665802 | + | 0.123757i | ||||
\(436\) | −425304. | + | 1.30895e6i | −0.107148 | + | 0.329767i | ||||
\(437\) | −3.19467e6 | + | 1.03801e6i | −0.800244 | + | 0.260015i | ||||
\(438\) | 1.47668e6 | − | 479803.i | 0.367791 | − | 0.119503i | ||||
\(439\) | 606260. | − | 1.86588e6i | 0.150140 | − | 0.462084i | −0.847496 | − | 0.530802i | \(-0.821891\pi\) |
0.997636 | + | 0.0687176i | \(0.0218907\pi\) | |||||||
\(440\) | −2.22212e6 | − | 413039.i | −0.547187 | − | 0.101709i | ||||
\(441\) | 881020. | + | 2.71150e6i | 0.215719 | + | 0.663916i | ||||
\(442\) | −201622. | − | 277510.i | −0.0490889 | − | 0.0675651i | ||||
\(443\) | 6.52268e6i | 1.57913i | 0.613670 | + | 0.789563i | \(0.289693\pi\) | ||||
−0.613670 | + | 0.789563i | \(0.710307\pi\) | |||||||
\(444\) | 543087. | − | 394575.i | 0.130741 | − | 0.0949889i | ||||
\(445\) | 3.95728e6 | − | 3.75141e6i | 0.947320 | − | 0.898039i | ||||
\(446\) | 5.77677e6 | + | 4.19707e6i | 1.37514 | + | 0.999101i | ||||
\(447\) | 2.48561e6 | − | 3.42115e6i | 0.588388 | − | 0.809847i | ||||
\(448\) | 7.90491e6 | + | 2.56846e6i | 1.86081 | + | 0.604613i | ||||
\(449\) | 513121. | 0.120117 | 0.0600584 | − | 0.998195i | \(-0.480871\pi\) | ||||
0.0600584 | + | 0.998195i | \(0.480871\pi\) | |||||||
\(450\) | −1.05704e6 | + | 684887.i | −0.246070 | + | 0.159437i | ||||
\(451\) | 1.34776e6 | 0.312012 | ||||||||
\(452\) | −1.10367e6 | − | 358604.i | −0.254093 | − | 0.0825599i | ||||
\(453\) | 1.21178e6 | − | 1.66788e6i | 0.277446 | − | 0.381872i | ||||
\(454\) | −2.77377e6 | − | 2.01526e6i | −0.631584 | − | 0.458872i | ||||
\(455\) | 1.52376e6 | − | 8.19771e6i | 0.345054 | − | 1.85637i | ||||
\(456\) | 2.86349e6 | − | 2.08045e6i | 0.644888 | − | 0.468539i | ||||
\(457\) | 4.00174e6i | 0.896310i | 0.893956 | + | 0.448155i | \(0.147919\pi\) | ||||
−0.893956 | + | 0.448155i | \(0.852081\pi\) | |||||||
\(458\) | −1.48077e6 | − | 2.03811e6i | −0.329856 | − | 0.454008i | ||||
\(459\) | −23743.2 | − | 73074.0i | −0.00526026 | − | 0.0161894i | ||||
\(460\) | 87762.1 | + | 669304.i | 0.0193380 | + | 0.147479i | ||||
\(461\) | −746876. | + | 2.29865e6i | −0.163680 | + | 0.503756i | −0.998937 | − | 0.0461049i | \(-0.985319\pi\) |
0.835256 | + | 0.549861i | \(0.185319\pi\) | |||||||
\(462\) | −2.01120e6 | + | 653477.i | −0.438379 | + | 0.142438i | ||||
\(463\) | 2.38015e6 | − | 773357.i | 0.516002 | − | 0.167659i | −0.0394282 | − | 0.999222i | \(-0.512554\pi\) |
0.555430 | + | 0.831563i | \(0.312554\pi\) | |||||||
\(464\) | 1.21456e6 | − | 3.73803e6i | 0.261893 | − | 0.806023i | ||||
\(465\) | −1.71396e6 | + | 3.15283e6i | −0.367595 | + | 0.676188i | ||||
\(466\) | 1.29884e6 | + | 3.99743e6i | 0.277071 | + | 0.852738i | ||||
\(467\) | −1.96781e6 | − | 2.70846e6i | −0.417533 | − | 0.574685i | 0.547503 | − | 0.836804i | \(-0.315579\pi\) |
−0.965036 | + | 0.262119i | \(0.915579\pi\) | |||||||
\(468\) | − | 383599.i | − | 0.0809585i | ||||||
\(469\) | −9.52190e6 | + | 6.91806e6i | −1.99890 | + | 1.45229i | ||||
\(470\) | −1.85960e6 | + | 243839.i | −0.388307 | + | 0.0509165i | ||||
\(471\) | 1.34582e6 | + | 977797.i | 0.279534 | + | 0.203094i | ||||
\(472\) | 214986. | − | 295903.i | 0.0444176 | − | 0.0611356i | ||||
\(473\) | −3.70926e6 | − | 1.20521e6i | −0.762316 | − | 0.247691i | ||||
\(474\) | 1.96926e6 | 0.402584 | ||||||||
\(475\) | −5.87380e6 | − | 2.26174e6i | −1.19450 | − | 0.459948i | ||||
\(476\) | 174030. | 0.0352051 | ||||||||
\(477\) | 19497.6 | + | 6335.14i | 0.00392360 | + | 0.00127485i | ||||
\(478\) | 2.55701e6 | − | 3.51943e6i | 0.511874 | − | 0.704535i | ||||
\(479\) | −3.23239e6 | − | 2.34847e6i | −0.643702 | − | 0.467677i | 0.217418 | − | 0.976079i | \(-0.430237\pi\) |
−0.861120 | + | 0.508402i | \(0.830237\pi\) | |||||||
\(480\) | −555326. | − | 1.16582e6i | −0.110013 | − | 0.230956i | ||||
\(481\) | −5.45099e6 | + | 3.96038e6i | −1.07427 | + | 0.780502i | ||||
\(482\) | 1.05817e6i | 0.207462i | ||||||||
\(483\) | 2.01193e6 | + | 2.76918e6i | 0.392415 | + | 0.540112i | ||||
\(484\) | −264409. | − | 813766.i | −0.0513053 | − | 0.157901i | ||||
\(485\) | 3.26745e6 | − | 1.55641e6i | 0.630747 | − | 0.300449i | ||||
\(486\) | −90795.7 | + | 279441.i | −0.0174371 | + | 0.0536659i | ||||
\(487\) | 1.64968e6 | − | 536013.i | 0.315193 | − | 0.102413i | −0.147148 | − | 0.989114i | \(-0.547009\pi\) |
0.462342 | + | 0.886702i | \(0.347009\pi\) | |||||||
\(488\) | −3.24490e6 | + | 1.05433e6i | −0.616810 | + | 0.200414i | ||||
\(489\) | −997315. | + | 3.06942e6i | −0.188608 | + | 0.580476i | ||||
\(490\) | −6.73579e6 | − | 7.10542e6i | −1.26735 | − | 1.33690i | ||||
\(491\) | 1.67283e6 | + | 5.14845e6i | 0.313147 | + | 0.963768i | 0.976510 | + | 0.215470i | \(0.0691285\pi\) |
−0.663363 | + | 0.748298i | \(0.730872\pi\) | |||||||
\(492\) | 249306. | + | 343141.i | 0.0464324 | + | 0.0639087i | ||||
\(493\) | − | 559894.i | − | 0.103750i | ||||||
\(494\) | −5.30322e6 | + | 3.85301e6i | −0.977737 | + | 0.710367i | ||||
\(495\) | 823756. | + | 447817.i | 0.151107 | + | 0.0821462i | ||||
\(496\) | 4.26947e6 | + | 3.10195e6i | 0.779237 | + | 0.566149i | ||||
\(497\) | 9.43790e6 | − | 1.29902e7i | 1.71390 | − | 2.35897i | ||||
\(498\) | −839824. | − | 272875.i | −0.151745 | − | 0.0493050i | ||||
\(499\) | 2.63895e6 | 0.474438 | 0.237219 | − | 0.971456i | \(-0.423764\pi\) | ||||
0.237219 | + | 0.971456i | \(0.423764\pi\) | |||||||
\(500\) | −662572. | + | 1.07745e6i | −0.118525 | + | 0.192740i | ||||
\(501\) | −5.23138e6 | −0.931154 | ||||||||
\(502\) | −7.84069e6 | − | 2.54760e6i | −1.38866 | − | 0.451202i | ||||
\(503\) | 6.08105e6 | − | 8.36984e6i | 1.07166 | − | 1.47502i | 0.203283 | − | 0.979120i | \(-0.434839\pi\) |
0.868381 | − | 0.495898i | \(-0.165161\pi\) | |||||||
\(504\) | −2.91790e6 | − | 2.11998e6i | −0.511675 | − | 0.371754i | ||||
\(505\) | 6.75779e6 | + | 3.67373e6i | 1.17917 | + | 0.641030i | ||||
\(506\) | −1.39018e6 | + | 1.01002e6i | −0.241376 | + | 0.175370i | ||||
\(507\) | 508567.i | 0.0878674i | ||||||||
\(508\) | −348290. | − | 479380.i | −0.0598800 | − | 0.0824178i | ||||
\(509\) | 531467. | + | 1.63569e6i | 0.0909247 | + | 0.279837i | 0.986170 | − | 0.165736i | \(-0.0529999\pi\) |
−0.895246 | + | 0.445573i | \(0.853000\pi\) | |||||||
\(510\) | 181527. | + | 191489.i | 0.0309041 | + | 0.0326000i | ||||
\(511\) | 2.44327e6 | − | 7.51963e6i | 0.413924 | − | 1.27393i | ||||
\(512\) | −6.20272e6 | + | 2.01538e6i | −1.04570 | + | 0.339768i | ||||
\(513\) | −1.39645e6 | + | 453733.i | −0.234278 | + | 0.0761215i | ||||
\(514\) | −1.19598e6 | + | 3.68086e6i | −0.199672 | + | 0.614528i | ||||
\(515\) | 3.78127e6 | − | 1.80117e6i | 0.628232 | − | 0.299251i | ||||
\(516\) | −379285. | − | 1.16732e6i | −0.0627106 | − | 0.193003i | ||||
\(517\) | 820648. | + | 1.12953e6i | 0.135030 | + | 0.185853i | ||||
\(518\) | 1.16894e7i | 1.91411i | ||||||||
\(519\) | 1.20223e6 | − | 873473.i | 0.195916 | − | 0.142341i | ||||
\(520\) | 3.07017e6 | + | 6.44536e6i | 0.497914 | + | 1.04529i | ||||
\(521\) | 5.48963e6 | + | 3.98845e6i | 0.886030 | + | 0.643738i | 0.934840 | − | 0.355070i | \(-0.115543\pi\) |
−0.0488099 | + | 0.998808i | \(0.515543\pi\) | |||||||
\(522\) | −1.25849e6 | + | 1.73217e6i | −0.202150 | + | 0.278236i | ||||
\(523\) | −1.84099e6 | − | 598175.i | −0.294305 | − | 0.0956256i | 0.158143 | − | 0.987416i | \(-0.449449\pi\) |
−0.452448 | + | 0.891791i | \(0.649449\pi\) | |||||||
\(524\) | −592344. | −0.0942423 | ||||||||
\(525\) | −342322. | + | 6.40465e6i | −0.0542047 | + | 1.01414i | ||||
\(526\) | 4.02123e6 | 0.633716 | ||||||||
\(527\) | 714977. | + | 232310.i | 0.112141 | + | 0.0364369i | ||||
\(528\) | 810463. | − | 1.11551e6i | 0.126517 | − | 0.174135i | ||||
\(529\) | −2.95694e6 | − | 2.14834e6i | −0.459413 | − | 0.333783i | ||||
\(530\) | −69804.4 | + | 9153.06i | −0.0107943 | + | 0.00141539i | ||||
\(531\) | −122752. | + | 89184.5i | −0.0188926 | + | 0.0137263i | ||||
\(532\) | − | 3.32571e6i | − | 0.509455i | ||||||
\(533\) | −2.50230e6 | − | 3.44413e6i | −0.381524 | − | 0.525123i | ||||
\(534\) | 1.34987e6 | + | 4.15446e6i | 0.204851 | + | 0.630466i | ||||
\(535\) | 1.58638e6 | − | 2.91813e6i | 0.239619 | − | 0.440778i | ||||
\(536\) | 3.11409e6 | − | 9.58418e6i | 0.468187 | − | 1.44093i | ||||
\(537\) | 4.48054e6 | − | 1.45581e6i | 0.670493 | − | 0.217856i | ||||
\(538\) | −7.93069e6 | + | 2.57684e6i | −1.18129 | + | 0.383823i | ||||
\(539\) | −2.25223e6 | + | 6.93166e6i | −0.333919 | + | 1.02770i | ||||
\(540\) | 38362.4 | + | 292565.i | 0.00566137 | + | 0.0431755i | ||||
\(541\) | 635279. | + | 1.95519e6i | 0.0933193 | + | 0.287207i | 0.986812 | − | 0.161870i | \(-0.0517527\pi\) |
−0.893493 | + | 0.449078i | \(0.851753\pi\) | |||||||
\(542\) | −1.16664e6 | − | 1.60574e6i | −0.170584 | − | 0.234789i | ||||
\(543\) | − | 7.28448e6i | − | 1.06023i | ||||||
\(544\) | −218855. | + | 159007.i | −0.0317073 | + | 0.0230367i | ||||
\(545\) | −1.94186e6 | + | 1.04471e7i | −0.280045 | + | 1.50662i | ||||
\(546\) | 5.40398e6 | + | 3.92622e6i | 0.775769 | + | 0.563629i | ||||
\(547\) | −3.22901e6 | + | 4.44435e6i | −0.461425 | + | 0.635097i | −0.974803 | − | 0.223066i | \(-0.928394\pi\) |
0.513379 | + | 0.858162i | \(0.328394\pi\) | |||||||
\(548\) | 2.39987e6 | + | 779767.i | 0.341379 | + | 0.110921i | ||||
\(549\) | 1.41538e6 | 0.200421 | ||||||||
\(550\) | −3.21524e6 | − | 171851.i | −0.453218 | − | 0.0242240i | ||||
\(551\) | −1.06996e7 | −1.50137 | ||||||||
\(552\) | −2.78730e6 | − | 905648.i | −0.389346 | − | 0.126506i | ||||
\(553\) | 5.89427e6 | − | 8.11277e6i | 0.819629 | − | 1.12812i | ||||
\(554\) | 3.73506e6 | + | 2.71368e6i | 0.517038 | + | 0.375650i | ||||
\(555\) | 3.76133e6 | − | 3.56566e6i | 0.518333 | − | 0.491368i | ||||
\(556\) | −141458. | + | 102775.i | −0.0194062 | + | 0.0140994i | ||||
\(557\) | − | 2.78904e6i | − | 0.380905i | −0.981696 | − | 0.190452i | \(-0.939005\pi\) | ||
0.981696 | − | 0.190452i | \(-0.0609955\pi\) | |||||||
\(558\) | −1.68978e6 | − | 2.32579e6i | −0.229745 | − | 0.316216i | ||||
\(559\) | 3.80690e6 | + | 1.17164e7i | 0.515279 | + | 1.58587i | ||||
\(560\) | 9.27324e6 | + | 1.72367e6i | 1.24957 | + | 0.232266i | ||||
\(561\) | 60696.9 | − | 186806.i | 0.00814253 | − | 0.0250601i | ||||
\(562\) | 4.18886e6 | − | 1.36104e6i | 0.559442 | − | 0.181774i | ||||
\(563\) | 4.31065e6 | − | 1.40061e6i | 0.573155 | − | 0.186229i | −0.00807708 | − | 0.999967i | \(-0.502571\pi\) |
0.581232 | + | 0.813738i | \(0.302571\pi\) | |||||||
\(564\) | −135776. | + | 417875.i | −0.0179732 | + | 0.0553157i | ||||
\(565\) | −8.80868e6 | − | 1.63732e6i | −1.16089 | − | 0.215781i | ||||
\(566\) | 3.47638e6 | + | 1.06992e7i | 0.456128 | + | 1.40382i | ||||
\(567\) | 879450. | + | 1.21046e6i | 0.114882 | + | 0.158122i | ||||
\(568\) | 1.37480e7i | 1.78801i | ||||||||
\(569\) | −4.72162e6 | + | 3.43046e6i | −0.611378 | + | 0.444192i | −0.849899 | − | 0.526945i | \(-0.823337\pi\) |
0.238521 | + | 0.971137i | \(0.423337\pi\) | |||||||
\(570\) | 3.65936e6 | − | 3.46899e6i | 0.471756 | − | 0.447215i | ||||
\(571\) | 6.98612e6 | + | 5.07572e6i | 0.896698 | + | 0.651489i | 0.937616 | − | 0.347674i | \(-0.113028\pi\) |
−0.0409181 | + | 0.999163i | \(0.513028\pi\) | |||||||
\(572\) | 576399. | − | 793345.i | 0.0736602 | − | 0.101385i | ||||
\(573\) | −409628. | − | 133096.i | −0.0521198 | − | 0.0169347i | ||||
\(574\) | −7.38574e6 | −0.935652 | ||||||||
\(575\) | 1.34366e6 | + | 5.03551e6i | 0.169480 | + | 0.635146i | ||||
\(576\) | 2.95225e6 | 0.370763 | ||||||||
\(577\) | −8.13951e6 | − | 2.64469e6i | −1.01779 | − | 0.330701i | −0.247839 | − | 0.968801i | \(-0.579720\pi\) |
−0.769953 | + | 0.638101i | \(0.779720\pi\) | |||||||
\(578\) | −4.12024e6 | + | 5.67103e6i | −0.512983 | + | 0.706061i | ||||
\(579\) | −4.87142e6 | − | 3.53930e6i | −0.603892 | − | 0.438753i | ||||
\(580\) | −392935. | + | 2.11396e6i | −0.0485010 | + | 0.260932i | ||||
\(581\) | −3.63789e6 | + | 2.64308e6i | −0.447105 | + | 0.324840i | ||||
\(582\) | 2.89936e6i | 0.354809i | ||||||||
\(583\) | 30804.9 | + | 42399.4i | 0.00375361 | + | 0.00516640i | ||||
\(584\) | 2.09197e6 | + | 6.43842e6i | 0.253818 | + | 0.781173i | ||||
\(585\) | −385046. | − | 2.93649e6i | −0.0465182 | − | 0.354764i | ||||
\(586\) | 270638. | − | 832940.i | 0.0325571 | − | 0.100200i | ||||
\(587\) | −1.40693e6 | + | 457140.i | −0.168530 | + | 0.0547588i | −0.392067 | − | 0.919937i | \(-0.628240\pi\) |
0.223537 | + | 0.974696i | \(0.428240\pi\) | |||||||
\(588\) | −2.18142e6 | + | 708785.i | −0.260193 | + | 0.0845418i | ||||
\(589\) | 4.43945e6 | − | 1.36632e7i | 0.527280 | − | 1.62280i | ||||
\(590\) | 248862. | − | 457781.i | 0.0294326 | − | 0.0541411i | ||||
\(591\) | −2.34748e6 | − | 7.22480e6i | −0.276461 | − | 0.850858i | ||||
\(592\) | −4.47998e6 | − | 6.16616e6i | −0.525377 | − | 0.723120i | ||||
\(593\) | − | 1.53703e7i | − | 1.79493i | −0.441088 | − | 0.897464i | \(-0.645407\pi\) | ||
0.441088 | − | 0.897464i | \(-0.354593\pi\) | |||||||
\(594\) | −607670. | + | 441498.i | −0.0706646 | + | 0.0513409i | ||||
\(595\) | 1.33222e6 | − | 174686.i | 0.154270 | − | 0.0202286i | ||||
\(596\) | 2.75233e6 | + | 1.99969e6i | 0.317384 | + | 0.230593i | ||||
\(597\) | −356988. | + | 491352.i | −0.0409938 | + | 0.0564231i | ||||
\(598\) | 5.16210e6 | + | 1.67727e6i | 0.590301 | + | 0.191800i | ||||
\(599\) | 4.16431e6 | 0.474215 | 0.237108 | − | 0.971483i | \(-0.423801\pi\) | ||||
0.237108 | + | 0.971483i | \(0.423801\pi\) | |||||||
\(600\) | −2.98615e6 | − | 4.60874e6i | −0.338636 | − | 0.522641i | ||||
\(601\) | −624075. | −0.0704775 | −0.0352388 | − | 0.999379i | \(-0.511219\pi\) | ||||
−0.0352388 | + | 0.999379i | \(0.511219\pi\) | |||||||
\(602\) | 2.03268e7 | + | 6.60457e6i | 2.28601 | + | 0.742768i | ||||
\(603\) | −2.45724e6 | + | 3.38210e6i | −0.275203 | + | 0.378785i | ||||
\(604\) | 1.34181e6 | + | 974885.i | 0.149658 | + | 0.108733i | ||||
\(605\) | −2.84091e6 | − | 5.96407e6i | −0.315551 | − | 0.662451i | ||||
\(606\) | −4.98511e6 | + | 3.62189e6i | −0.551433 | + | 0.400640i | ||||
\(607\) | − | 9.01936e6i | − | 0.993583i | −0.867870 | − | 0.496791i | \(-0.834511\pi\) | ||
0.867870 | − | 0.496791i | \(-0.165489\pi\) | |||||||
\(608\) | 3.03863e6 | + | 4.18232e6i | 0.333365 | + | 0.458837i | ||||
\(609\) | 3.36918e6 | + | 1.03693e7i | 0.368113 | + | 1.13293i | ||||
\(610\) | −4.38814e6 | + | 2.09024e6i | −0.477481 | + | 0.227442i | ||||
\(611\) | 1.36279e6 | − | 4.19424e6i | 0.147681 | − | 0.454517i | ||||
\(612\) | 58788.4 | − | 19101.5i | 0.00634473 | − | 0.00206153i | ||||
\(613\) | −5.27502e6 | + | 1.71396e6i | −0.566987 | + | 0.184225i | −0.578462 | − | 0.815709i | \(-0.696347\pi\) |
0.0114759 | + | 0.999934i | \(0.496347\pi\) | |||||||
\(614\) | 2.78536e6 | − | 8.57246e6i | 0.298168 | − | 0.917666i | ||||
\(615\) | 2.25290e6 | + | 2.37654e6i | 0.240190 | + | 0.253371i | ||||
\(616\) | −2.84920e6 | − | 8.76894e6i | −0.302532 | − | 0.931098i | ||||
\(617\) | −1.31454e6 | − | 1.80931e6i | −0.139015 | − | 0.191337i | 0.733833 | − | 0.679330i | \(-0.237729\pi\) |
−0.872848 | + | 0.487992i | \(0.837729\pi\) | |||||||
\(618\) | 3.35529e6i | 0.353394i | ||||||||
\(619\) | 2.22387e6 | − | 1.61574e6i | 0.233283 | − | 0.169490i | −0.465003 | − | 0.885309i | \(-0.653947\pi\) |
0.698285 | + | 0.715819i | \(0.253947\pi\) | |||||||
\(620\) | −2.53647e6 | − | 1.37889e6i | −0.265002 | − | 0.144063i | ||||
\(621\) | 983590. | + | 714620.i | 0.102349 | + | 0.0743612i | ||||
\(622\) | −2.54003e6 | + | 3.49606e6i | −0.263247 | + | 0.362328i | ||||
\(623\) | 2.11556e7 | + | 6.87386e6i | 2.18376 | + | 0.709546i | ||||
\(624\) | −4.35535e6 | −0.447776 | ||||||||
\(625\) | −3.99055e6 | + | 8.91308e6i | −0.408633 | + | 0.912699i | ||||
\(626\) | −6.03090e6 | −0.615101 | ||||||||
\(627\) | −3.56987e6 | − | 1.15992e6i | −0.362646 | − | 0.117831i | ||||
\(628\) | −786643. | + | 1.08272e6i | −0.0795936 | + | 0.109551i | ||||
\(629\) | −878384. | − | 638183.i | −0.0885233 | − | 0.0643160i | ||||
\(630\) | −4.51418e6 | − | 2.45404e6i | −0.453135 | − | 0.246337i | ||||
\(631\) | −7.06191e6 | + | 5.13078e6i | −0.706072 | + | 0.512991i | −0.881904 | − | 0.471429i | \(-0.843738\pi\) |
0.175832 | + | 0.984420i | \(0.443738\pi\) | |||||||
\(632\) | 8.58607e6i | 0.855070i | ||||||||
\(633\) | 1.57042e6 | + | 2.16150e6i | 0.155778 | + | 0.214410i | ||||
\(634\) | −4.50261e6 | − | 1.38576e7i | −0.444878 | − | 1.36919i | ||||
\(635\) | −3.14739e6 | − | 3.32011e6i | −0.309754 | − | 0.326752i | ||||
\(636\) | −5096.66 | + | 15685.9i | −0.000499623 | + | 0.00153768i | ||||
\(637\) | 2.18950e7 | − | 7.11412e6i | 2.13795 | − | 0.694661i | ||||
\(638\) | −5.20554e6 | + | 1.69138e6i | −0.506307 | + | 0.164509i | ||||
\(639\) | 1.76239e6 | − | 5.42407e6i | 0.170745 | − | 0.525501i | ||||
\(640\) | −5.00776e6 | + | 2.38539e6i | −0.483274 | + | 0.230202i | ||||
\(641\) | −5.02796e6 | − | 1.54745e7i | −0.483333 | − | 1.48755i | −0.834380 | − | 0.551189i | \(-0.814174\pi\) |
0.351047 | − | 0.936358i | \(-0.385826\pi\) | |||||||
\(642\) | 1.56399e6 | + | 2.15265e6i | 0.149760 | + | 0.206128i | ||||
\(643\) | 1.90501e6i | 0.181706i | 0.995864 | + | 0.0908530i | \(0.0289593\pi\) | ||||
−0.995864 | + | 0.0908530i | \(0.971041\pi\) | |||||||
\(644\) | −2.22782e6 | + | 1.61861e6i | −0.211673 | + | 0.153790i | ||||
\(645\) | −4.07519e6 | − | 8.55524e6i | −0.385699 | − | 0.809717i | ||||
\(646\) | −854571. | − | 620882.i | −0.0805688 | − | 0.0585366i | ||||
\(647\) | −1.01127e7 | + | 1.39189e7i | −0.949744 | + | 1.30721i | 0.00189665 | + | 0.999998i | \(0.499396\pi\) |
−0.951641 | + | 0.307213i | \(0.900604\pi\) | |||||||
\(648\) | −1.21838e6 | − | 395875.i | −0.113984 | − | 0.0370357i | ||||
\(649\) | −387881. | −0.0361482 | ||||||||
\(650\) | 5.53038e6 | + | 8.53542e6i | 0.513418 | + | 0.792395i | ||||
\(651\) | −1.46393e7 | −1.35385 | ||||||||
\(652\) | −2.46936e6 | − | 802345.i | −0.227492 | − | 0.0739166i | ||||
\(653\) | 7.39636e6 | − | 1.01802e7i | 0.678790 | − | 0.934274i | −0.321129 | − | 0.947035i | \(-0.604062\pi\) |
0.999919 | + | 0.0127617i | \(0.00406228\pi\) | |||||||
\(654\) | −6.88679e6 | − | 5.00354e6i | −0.629611 | − | 0.457439i | ||||
\(655\) | −4.53446e6 | + | 594579.i | −0.412974 | + | 0.0541509i | ||||
\(656\) | 3.89599e6 | − | 2.83060e6i | 0.353475 | − | 0.256814i | ||||
\(657\) | − | 2.80836e6i | − | 0.253828i | ||||||
\(658\) | −4.49716e6 | − | 6.18980e6i | −0.404924 | − | 0.557330i | ||||
\(659\) | −2.56708e6 | − | 7.90067e6i | −0.230264 | − | 0.708681i | −0.997714 | − | 0.0675720i | \(-0.978475\pi\) |
0.767450 | − | 0.641109i | \(-0.221525\pi\) | |||||||
\(660\) | −360271. | + | 662716.i | −0.0321936 | + | 0.0592199i | ||||
\(661\) | 1.70512e6 | − | 5.24781e6i | 0.151793 | − | 0.467169i | −0.846029 | − | 0.533136i | \(-0.821013\pi\) |
0.997822 | + | 0.0659671i | \(0.0210132\pi\) | |||||||
\(662\) | −256656. | + | 83392.7i | −0.0227618 | + | 0.00739576i | ||||
\(663\) | −590063. | + | 191723.i | −0.0521332 | + | 0.0169391i | ||||
\(664\) | 1.18975e6 | − | 3.66169e6i | 0.104722 | − | 0.322300i | ||||
\(665\) | −3.33826e6 | − | 2.54587e7i | −0.292729 | − | 2.23245i | ||||
\(666\) | 1.28303e6 | + | 3.94875e6i | 0.112086 | + | 0.344964i | ||||
\(667\) | 5.20744e6 | + | 7.16743e6i | 0.453221 | + | 0.623805i | ||||
\(668\) | − | 4.20867e6i | − | 0.364925i | ||||||
\(669\) | 1.04486e7 | − | 7.59134e6i | 0.902593 | − | 0.655772i | ||||
\(670\) | 2.62353e6 | − | 1.41144e7i | 0.225787 | − | 1.21472i | ||||
\(671\) | 2.92725e6 | + | 2.12677e6i | 0.250988 | + | 0.182353i | ||||
\(672\) | 3.09637e6 | − | 4.26179e6i | 0.264503 | − | 0.364057i | ||||
\(673\) | 6.13664e6 | + | 1.99391e6i | 0.522267 | + | 0.169695i | 0.558274 | − | 0.829657i | \(-0.311464\pi\) |
−0.0360068 | + | 0.999352i | \(0.511464\pi\) | |||||||
\(674\) | 6.00039e6 | 0.508780 | ||||||||
\(675\) | 587337. | + | 2.20111e6i | 0.0496167 | + | 0.185944i | ||||
\(676\) | −409145. | −0.0344358 | ||||||||
\(677\) | −3.02011e6 | − | 981292.i | −0.253251 | − | 0.0822861i | 0.179641 | − | 0.983732i | \(-0.442507\pi\) |
−0.432891 | + | 0.901446i | \(0.642507\pi\) | |||||||
\(678\) | 4.21884e6 | − | 5.80674e6i | 0.352467 | − | 0.485130i | ||||
\(679\) | 1.19445e7 | + | 8.67821e6i | 0.994247 | + | 0.722363i | ||||
\(680\) | −834903. | + | 791470.i | −0.0692410 | + | 0.0656390i | ||||
\(681\) | −5.01698e6 | + | 3.64505e6i | −0.414548 | + | 0.301187i | ||||
\(682\) | − | 7.34919e6i | − | 0.605032i | ||||||
\(683\) | −8.06346e6 | − | 1.10984e7i | −0.661408 | − | 0.910350i | 0.338119 | − | 0.941103i | \(-0.390209\pi\) |
−0.999527 | + | 0.0307531i | \(0.990209\pi\) | |||||||
\(684\) | −365031. | − | 1.12345e6i | −0.0298325 | − | 0.0918149i | ||||
\(685\) | 1.91540e7 | + | 3.56028e6i | 1.55967 | + | 0.289906i | ||||
\(686\) | 6.44884e6 | − | 1.98475e7i | 0.523204 | − | 1.61026i | ||||
\(687\) | −4.33359e6 | + | 1.40807e6i | −0.350313 | + | 0.113823i | ||||
\(688\) | −1.32536e7 | + | 4.30637e6i | −1.06749 | + | 0.346849i | ||||
\(689\) | 51155.5 | − | 157440.i | 0.00410529 | − | 0.0126348i | ||||
\(690\) | −4.10479e6 | − | 762983.i | −0.328223 | − | 0.0610087i | ||||
\(691\) | −3.57845e6 | − | 1.10133e7i | −0.285102 | − | 0.877453i | −0.986368 | − | 0.164554i | \(-0.947382\pi\) |
0.701266 | − | 0.712899i | \(-0.252618\pi\) | |||||||
\(692\) | 702713. | + | 967202.i | 0.0557844 | + | 0.0767807i | ||||
\(693\) | 3.82490e6i | 0.302543i | ||||||||
\(694\) | −18432.8 | + | 13392.2i | −0.00145275 | + | 0.00105549i | ||||
\(695\) | −979716. | + | 928749.i | −0.0769375 | + | 0.0729351i | ||||
\(696\) | −7.55235e6 | − | 5.48711e6i | −0.590961 | − | 0.429359i | ||||
\(697\) | 403226. | − | 554993.i | 0.0314389 | − | 0.0432719i | ||||
\(698\) | 5.92502e6 | + | 1.92515e6i | 0.460311 | + | 0.149564i | ||||
\(699\) | 7.60232e6 | 0.588509 | ||||||||
\(700\) | −5.15258e6 | − | 275400.i | −0.397447 | − | 0.0212431i | ||||
\(701\) | −7.15084e6 | −0.549619 | −0.274810 | − | 0.961499i | \(-0.588615\pi\) | ||||
−0.274810 | + | 0.961499i | \(0.588615\pi\) | |||||||
\(702\) | 2.25645e6 | + | 733164.i | 0.172815 | + | 0.0561511i | ||||
\(703\) | −1.21957e7 | + | 1.67859e7i | −0.930719 | + | 1.28102i | ||||
\(704\) | 6.10573e6 | + | 4.43607e6i | 0.464308 | + | 0.337339i | ||||
\(705\) | −619928. | + | 3.33517e6i | −0.0469752 | + | 0.252723i | ||||
\(706\) | 1.13409e7 | − | 8.23963e6i | 0.856318 | − | 0.622151i | ||||
\(707\) | 3.13781e7i | 2.36090i | ||||||||
\(708\) | −71749.4 | − | 98754.6i | −0.00537942 | − | 0.00740413i | ||||
\(709\) | 2.73872e6 | + | 8.42891e6i | 0.204612 | + | 0.629732i | 0.999729 | + | 0.0232757i | \(0.00740955\pi\) |
−0.795117 | + | 0.606456i | \(0.792590\pi\) | |||||||
\(710\) | 2.54631e6 | + | 1.94190e7i | 0.189568 | + | 1.44571i | ||||
\(711\) | 1.10067e6 | − | 3.38751e6i | 0.0816549 | − | 0.251308i | ||||
\(712\) | −1.81137e7 | + | 5.88550e6i | −1.33908 | + | 0.435094i | ||||
\(713\) | −1.13134e7 | + | 3.67594e6i | −0.833428 | + | 0.270797i | ||||
\(714\) | −332619. | + | 1.02370e6i | −0.0244175 | + | 0.0751494i | ||||
\(715\) | 3.61606e6 | − | 6.65172e6i | 0.264528 | − | 0.486596i | ||||
\(716\) | 1.17121e6 | + | 3.60461e6i | 0.0853792 | + | 0.262770i | ||||
\(717\) | −4.62493e6 | − | 6.36567e6i | −0.335975 | − | 0.462430i | ||||
\(718\) | − | 2.35677e7i | − | 1.70611i | ||||||
\(719\) | 9.70042e6 | − | 7.04777e6i | 0.699791 | − | 0.508428i | −0.180073 | − | 0.983653i | \(-0.557633\pi\) |
0.879864 | + | 0.475225i | \(0.157633\pi\) | |||||||
\(720\) | 3.32176e6 | − | 435563.i | 0.238801 | − | 0.0313127i | ||||
\(721\) | 1.38228e7 | + | 1.00429e7i | 0.990283 | + | 0.719483i | ||||
\(722\) | −4.62310e6 | + | 6.36315e6i | −0.330058 | + | 0.454286i | ||||
\(723\) | 1.82026e6 | + | 591440.i | 0.129506 | + | 0.0420789i | ||||
\(724\) | 5.86040e6 | 0.415510 | ||||||||
\(725\) | −886026. | + | 1.65770e7i | −0.0626039 | + | 1.17128i | ||||
\(726\) | 5.29218e6 | 0.372643 | ||||||||
\(727\) | 1.18713e7 | + | 3.85721e6i | 0.833031 | + | 0.270668i | 0.694322 | − | 0.719665i | \(-0.255705\pi\) |
0.138709 | + | 0.990333i | \(0.455705\pi\) | |||||||
\(728\) | −1.71186e7 | + | 2.35617e7i | −1.19712 | + | 1.64770i | ||||
\(729\) | 429945. | + | 312373.i | 0.0299636 | + | 0.0217698i | ||||
\(730\) | 4.14738e6 | + | 8.70680e6i | 0.288049 | + | 0.604716i | ||||
\(731\) | −1.60604e6 | + | 1.16686e6i | −0.111164 | + | 0.0807651i | ||||
\(732\) | 1.13868e6i | 0.0785463i | ||||||||
\(733\) | −2.83070e6 | − | 3.89613e6i | −0.194596 | − | 0.267839i | 0.700558 | − | 0.713596i | \(-0.252935\pi\) |
−0.895154 | + | 0.445757i | \(0.852935\pi\) | |||||||
\(734\) | −5.15568e6 | − | 1.58676e7i | −0.353221 | − | 1.08710i | ||||
\(735\) | −1.59875e7 | + | 7.61548e6i | −1.09160 | + | 0.519971i | ||||
\(736\) | 1.32276e6 | − | 4.07103e6i | 0.0900090 | − | 0.277019i | ||||
\(737\) | −1.01639e7 | + | 3.30246e6i | −0.689276 | + | 0.223959i | ||||
\(738\) | −2.49496e6 | + | 810660.i | −0.168625 | + | 0.0547896i | ||||
\(739\) | 1.47047e6 | − | 4.52564e6i | 0.0990478 | − | 0.304838i | −0.889240 | − | 0.457442i | \(-0.848766\pi\) |
0.988287 | + | 0.152604i | \(0.0487659\pi\) | |||||||
\(740\) | 2.86859e6 | + | 3.02601e6i | 0.192570 | + | 0.203138i | ||||
\(741\) | 3.66384e6 | + | 1.12761e7i | 0.245127 | + | 0.754422i | ||||
\(742\) | −168811. | − | 232349.i | −0.0112562 | − | 0.0154928i | ||||
\(743\) | 9.60032e6i | 0.637990i | 0.947756 | + | 0.318995i | \(0.103345\pi\) | ||||
−0.947756 | + | 0.318995i | \(0.896655\pi\) | |||||||
\(744\) | 1.01406e7 | − | 7.36755e6i | 0.671630 | − | 0.487968i | ||||
\(745\) | 2.30766e7 | + | 1.25451e7i | 1.52329 | + | 0.828102i | ||||
\(746\) | −5.81565e6 | − | 4.22532e6i | −0.382606 | − | 0.277979i | ||||
\(747\) | −938799. | + | 1.29215e6i | −0.0615561 | + | 0.0847247i | ||||
\(748\) | 150286. | + | 48831.0i | 0.00982122 | + | 0.00319111i | ||||
\(749\) | 1.35496e7 | 0.882513 | ||||||||
\(750\) | −5.07153e6 | − | 5.95676e6i | −0.329220 | − | 0.386685i | ||||
\(751\) | −2.32880e7 | −1.50672 | −0.753359 | − | 0.657609i | \(-0.771568\pi\) | ||||
−0.753359 | + | 0.657609i | \(0.771568\pi\) | |||||||
\(752\) | 4.74452e6 | + | 1.54159e6i | 0.305948 | + | 0.0994084i | ||||
\(753\) | −8.76474e6 | + | 1.20636e7i | −0.563315 | + | 0.775337i | ||||
\(754\) | 1.39870e7 | + | 1.01622e7i | 0.895977 | + | 0.650966i | ||||
\(755\) | 1.12503e7 | + | 6.11598e6i | 0.718285 | + | 0.390480i | ||||
\(756\) | −973821. | + | 707523.i | −0.0619690 | + | 0.0450231i | ||||
\(757\) | − | 31749.1i | − | 0.00201369i | −0.999999 | − | 0.00100684i | \(-0.999680\pi\) | ||
0.999999 | − | 0.00100684i | \(-0.000320488\pi\) | |||||||
\(758\) | −9.23454e6 | − | 1.27103e7i | −0.583771 | − | 0.803491i | ||||
\(759\) | 960431. | + | 2.95590e6i | 0.0605148 | + | 0.186246i | ||||
\(760\) | 1.51250e7 | + | 1.59550e7i | 0.949865 | + | 1.00199i | ||||
\(761\) | 219034. | − | 674117.i | 0.0137104 | − | 0.0421962i | −0.943967 | − | 0.330039i | \(-0.892938\pi\) |
0.957678 | + | 0.287843i | \(0.0929381\pi\) | |||||||
\(762\) | 3.48554e6 | − | 1.13252e6i | 0.217462 | − | 0.0706576i | ||||
\(763\) | −4.12264e7 | + | 1.33953e7i | −2.56368 | + | 0.832990i | ||||
\(764\) | 107076. | − | 329548.i | 0.00663683 | − | 0.0204261i | ||||
\(765\) | 430859. | − | 205235.i | 0.0266184 | − | 0.0126793i | ||||
\(766\) | 4.88470e6 | + | 1.50336e7i | 0.300792 | + | 0.925742i | ||||
\(767\) | 720153. | + | 991206.i | 0.0442015 | + | 0.0608381i | ||||
\(768\) | 6.05327e6i | 0.370328i | ||||||||
\(769\) | −2.26876e7 | + | 1.64835e7i | −1.38348 | + | 1.00516i | −0.386932 | + | 0.922108i | \(0.626465\pi\) |
−0.996546 | + | 0.0830467i | \(0.973535\pi\) | |||||||
\(770\) | −5.64861e6 | − | 1.18584e7i | −0.343333 | − | 0.720775i | ||||
\(771\) | 5.66334e6 | + | 4.11466e6i | 0.343113 | + | 0.249286i | ||||
\(772\) | 2.84738e6 | − | 3.91909e6i | 0.171950 | − | 0.236669i | ||||
\(773\) | 2.97315e7 | + | 9.66034e6i | 1.78965 | + | 0.581492i | 0.999506 | − | 0.0314329i | \(-0.0100070\pi\) |
0.790141 | + | 0.612925i | \(0.210007\pi\) | |||||||
\(774\) | 7.59145e6 | 0.455483 | ||||||||
\(775\) | −2.08010e7 | − | 8.00956e6i | −1.24403 | − | 0.479021i | ||||
\(776\) | −1.26414e7 | −0.753598 | ||||||||
\(777\) | 2.01080e7 | + | 6.53349e6i | 1.19486 | + | 0.388233i | ||||
\(778\) | 1.19256e7 | − | 1.64142e7i | 0.706371 | − | 0.972236i | ||||
\(779\) | −1.06059e7 | − | 7.70567e6i | −0.626189 | − | 0.454953i | ||||
\(780\) | 2.36242e6 | − | 309771.i | 0.139034 | − | 0.0182308i | ||||
\(781\) | 1.17952e7 | − | 8.56969e6i | 0.691953 | − | 0.502733i | ||||
\(782\) | 874639.i | 0.0511460i | ||||||||
\(783\) | 2.27626e6 | + | 3.13301e6i | 0.132684 | + | 0.182624i | ||||
\(784\) | 8.04748e6 | + | 2.47676e7i | 0.467595 | + | 1.43911i | ||||
\(785\) | −4.93504e6 | + | 9.07796e6i | −0.285835 | + | 0.525792i | ||||
\(786\) | 1.13213e6 | − | 3.48435e6i | 0.0653644 | − | 0.201171i | ||||
\(787\) | 5.10025e6 | − | 1.65717e6i | 0.293532 | − | 0.0953742i | −0.158550 | − | 0.987351i | \(-0.550682\pi\) |
0.452081 | + | 0.891977i | \(0.350682\pi\) | |||||||
\(788\) | 5.81239e6 | − | 1.88856e6i | 0.333457 | − | 0.108347i | ||||
\(789\) | 2.24757e6 | − | 6.91732e6i | 0.128535 | − | 0.395590i | ||||
\(790\) | 1.59025e6 | + | 1.21278e7i | 0.0906564 | + | 0.691377i | ||||
\(791\) | −1.12945e7 | − | 3.47609e7i | −0.641838 | − | 1.97537i | ||||
\(792\) | −1.92496e6 | − | 2.64948e6i | −0.109046 | − | 0.150089i | ||||
\(793\) | − | 1.14290e7i | − | 0.645397i | ||||||
\(794\) | 1.80636e7 | − | 1.31240e7i | 1.01684 | − | 0.738779i | ||||
\(795\) | −23270.4 | + | 125193.i | −0.00130583 | + | 0.00702527i | ||||
\(796\) | −395295. | − | 287199.i | −0.0221125 | − | 0.0160657i | ||||
\(797\) | 5.83545e6 | − | 8.03180e6i | 0.325408 | − | 0.447886i | −0.614701 | − | 0.788760i | \(-0.710723\pi\) |
0.940109 | + | 0.340875i | \(0.110723\pi\) | |||||||
\(798\) | 1.95629e7 | + | 6.35636e6i | 1.08749 | + | 0.353347i | ||||
\(799\) | 710649. | 0.0393811 | ||||||||
\(800\) | 6.73136e6 | − | 4.36147e6i | 0.371859 | − | 0.240939i | ||||
\(801\) | 7.90097e6 | 0.435110 | ||||||||
\(802\) | 2.21910e6 | + | 721029.i | 0.121826 | + | 0.0395837i | ||||
\(803\) | 4.21986e6 | − | 5.80814e6i | 0.230946 | − | 0.317869i | ||||
\(804\) | −2.72091e6 | − | 1.97686e6i | −0.148448 | − | 0.107854i | ||||
\(805\) | −1.54295e7 | + | 1.46269e7i | −0.839195 | + | 0.795539i | ||||
\(806\) | −1.87804e7 | + | 1.36448e7i | −1.01828 | + | 0.739824i | ||||
\(807\) | 1.50826e7i | 0.815254i | ||||||||
\(808\) | −1.57917e7 | − | 2.17354e7i | −0.850942 | − | 1.17122i | ||||
\(809\) | −4.85510e6 | − | 1.49425e7i | −0.260812 | − | 0.802696i | −0.992629 | − | 0.121195i | \(-0.961327\pi\) |
0.731817 | − | 0.681501i | \(-0.238673\pi\) | |||||||
\(810\) | −1.79428e6 | − | 333513.i | −0.0960898 | − | 0.0178608i | ||||
\(811\) | 1.44948e6 | − | 4.46103e6i | 0.0773853 | − | 0.238168i | −0.904879 | − | 0.425669i | \(-0.860039\pi\) |
0.982264 | + | 0.187501i | \(0.0600389\pi\) | |||||||
\(812\) | −8.34213e6 | + | 2.71052e6i | −0.444004 | + | 0.144266i | ||||
\(813\) | −3.41426e6 | + | 1.10936e6i | −0.181163 | + | 0.0588634i | ||||
\(814\) | −3.27992e6 | + | 1.00945e7i | −0.173501 | + | 0.533981i | ||||
\(815\) | −1.97086e7 | − | 3.66337e6i | −1.03935 | − | 0.193191i | ||||
\(816\) | −216877. | − | 667479.i | −0.0114022 | − | 0.0350923i | ||||
\(817\) | 2.22986e7 | + | 3.06914e7i | 1.16875 | + | 1.60865i | ||||
\(818\) | − | 3.67390e6i | − | 0.191975i | ||||||
\(819\) | 9.77431e6 | − | 7.10145e6i | 0.509186 | − | 0.369945i | ||||
\(820\) | −1.91194e6 | + | 1.81247e6i | −0.0992976 | + | 0.0941320i | ||||
\(821\) | 1.89666e6 | + | 1.37800e6i | 0.0982044 | + | 0.0713497i | 0.635804 | − | 0.771851i | \(-0.280669\pi\) |
−0.537599 | + | 0.843200i | \(0.680669\pi\) | |||||||
\(822\) | −9.17366e6 | + | 1.26265e7i | −0.473547 | + | 0.651781i | ||||
\(823\) | −2.42859e7 | − | 7.89096e6i | −1.24984 | − | 0.406098i | −0.391976 | − | 0.919975i | \(-0.628208\pi\) |
−0.857863 | + | 0.513878i | \(0.828208\pi\) | |||||||
\(824\) | −1.46293e7 | −0.750594 | ||||||||
\(825\) | −2.09270e6 | + | 5.43480e6i | −0.107046 | + | 0.278002i | ||||
\(826\) | 2.12559e6 | 0.108400 | ||||||||
\(827\) | 3.37567e6 | + | 1.09682e6i | 0.171631 | + | 0.0557664i | 0.393572 | − | 0.919294i | \(-0.371239\pi\) |
−0.221941 | + | 0.975060i | \(0.571239\pi\) | |||||||
\(828\) | −574916. | + | 791304.i | −0.0291426 | + | 0.0401113i | ||||
\(829\) | −2.28497e7 | − | 1.66013e7i | −1.15477 | − | 0.838986i | −0.165658 | − | 0.986183i | \(-0.552975\pi\) |
−0.989107 | + | 0.147197i | \(0.952975\pi\) | |||||||
\(830\) | 1.00233e6 | − | 5.39248e6i | 0.0505030 | − | 0.271703i | ||||
\(831\) | 6.75568e6 | − | 4.90829e6i | 0.339365 | − | 0.246563i | ||||
\(832\) | − | 2.38390e7i | − | 1.19393i | ||||||
\(833\) | 2.18055e6 | + | 3.00127e6i | 0.108881 | + | 0.149862i | ||||
\(834\) | −334191. | − | 1.02853e6i | −0.0166372 | − | 0.0512039i | ||||
\(835\) | −4.22455e6 | − | 3.22179e7i | −0.209683 | − | 1.59912i | ||||
\(836\) | 933162. | − | 2.87198e6i | 0.0461786 | − | 0.142123i | ||||
\(837\) | −4.94527e6 | + | 1.60682e6i | −0.243993 | + | 0.0792780i | ||||
\(838\) | 9.06301e6 | − | 2.94475e6i | 0.445823 | − | 0.144857i | ||||
\(839\) | −1.04727e7 | + | 3.22318e7i | −0.513636 | + | 1.58081i | 0.272113 | + | 0.962265i | \(0.412278\pi\) |
−0.785749 | + | 0.618545i | \(0.787722\pi\) | |||||||
\(840\) | 1.06998e7 | − | 1.96821e7i | 0.523209 | − | 0.962440i | ||||
\(841\) | 2.38209e6 | + | 7.33131e6i | 0.116136 | + | 0.357431i | ||||
\(842\) | 1.44213e7 | + | 1.98493e7i | 0.701012 | + | 0.964860i | ||||
\(843\) | − | 7.96639e6i | − | 0.386094i | ||||||
\(844\) | −1.73894e6 | + | 1.26341e6i | −0.0840287 | + | 0.0610504i | ||||
\(845\) | −3.13205e6 | + | 410688.i | −0.150899 | + | 0.0197866i | ||||
\(846\) | −2.19856e6 | − | 1.59735e6i | −0.105612 | − | 0.0767316i | ||||
\(847\) | 1.58403e7 | − | 2.18023e7i | 0.758673 | − | 1.04422i | ||||
\(848\) | 178096. | + | 57867.0i | 0.00850482 | + | 0.00276338i | ||||
\(849\) | 2.03478e7 | 0.968831 | ||||||||
\(850\) | −1.03271e6 | + | 1.27258e6i | −0.0490265 | + | 0.0604143i | ||||
\(851\) | 1.71801e7 | 0.813210 | ||||||||
\(852\) | 4.36369e6 | + | 1.41785e6i | 0.205947 | + | 0.0669162i | ||||
\(853\) | −1.39879e7 | + | 1.92527e7i | −0.658232 | + | 0.905979i | −0.999421 | − | 0.0340160i | \(-0.989170\pi\) |
0.341189 | + | 0.939995i | \(0.389170\pi\) | |||||||
\(854\) | −1.60413e7 | − | 1.16547e7i | −0.752654 | − | 0.546835i | ||||
\(855\) | −3.92204e6 | − | 8.23373e6i | −0.183483 | − | 0.385195i | ||||
\(856\) | −9.38569e6 | + | 6.81910e6i | −0.437806 | + | 0.318085i | ||||
\(857\) | − | 2.22117e7i | − | 1.03307i | −0.856267 | − | 0.516534i | \(-0.827222\pi\) | ||
0.856267 | − | 0.516534i | \(-0.172778\pi\) | |||||||
\(858\) | 3.56504e6 | + | 4.90686e6i | 0.165328 | + | 0.227555i | ||||
\(859\) | −1.01080e7 | − | 3.11091e7i | −0.467392 | − | 1.43848i | −0.855949 | − | 0.517060i | \(-0.827027\pi\) |
0.388557 | − | 0.921424i | \(-0.372973\pi\) | |||||||
\(860\) | 6.88274e6 | − | 3.27851e6i | 0.317333 | − | 0.151158i | ||||
\(861\) | −4.12808e6 | + | 1.27049e7i | −0.189776 | + | 0.584069i | ||||
\(862\) | 6.48030e6 | − | 2.10558e6i | 0.297048 | − | 0.0965169i | ||||
\(863\) | 9.90692e6 | − | 3.21895e6i | 0.452805 | − | 0.147125i | −0.0737306 | − | 0.997278i | \(-0.523491\pi\) |
0.526536 | + | 0.850153i | \(0.323491\pi\) | |||||||
\(864\) | 578201. | − | 1.77952e6i | 0.0263509 | − | 0.0810996i | ||||
\(865\) | 6.35020e6 | + | 6.69868e6i | 0.288567 | + | 0.304403i | ||||
\(866\) | 788811. | + | 2.42771e6i | 0.0357420 | + | 0.110002i | ||||
\(867\) | 7.45237e6 | + | 1.02573e7i | 0.336703 | + | 0.463432i | ||||
\(868\) | − | 1.17774e7i | − | 0.530580i | ||||||
\(869\) | 7.36646e6 | − | 5.35205e6i | 0.330910 | − | 0.240420i | ||||
\(870\) | −1.16840e7 | − | 6.35174e6i | −0.523350 | − | 0.284508i | ||||
\(871\) | 2.73100e7 | + | 1.98419e7i | 1.21976 | + | 0.886211i | ||||
\(872\) | 2.18158e7 | − | 3.00268e7i | 0.971581 | − | 1.33727i | ||||
\(873\) | 4.98747e6 | + | 1.62053e6i | 0.221485 | + | 0.0719648i | ||||
\(874\) | 1.67144e7 | 0.740136 | ||||||||
\(875\) | −3.97200e7 | + | 3.06380e6i | −1.75384 | + | 0.135282i | ||||
\(876\) | 2.25934e6 | 0.0994766 | ||||||||
\(877\) | −3.40877e7 | − | 1.10758e7i | −1.49658 | − | 0.486268i | −0.557560 | − | 0.830137i | \(-0.688262\pi\) |
−0.939018 | + | 0.343869i | \(0.888262\pi\) | |||||||
\(878\) | −5.73807e6 | + | 7.89777e6i | −0.251206 | + | 0.345755i | ||||
\(879\) | −1.28155e6 | − | 931103.i | −0.0559454 | − | 0.0406467i | ||||
\(880\) | 7.52442e6 | + | 4.09049e6i | 0.327541 | + | 0.178061i | ||||
\(881\) | −413352. | + | 300318.i | −0.0179424 | + | 0.0130359i | −0.596720 | − | 0.802449i | \(-0.703530\pi\) |
0.578778 | + | 0.815485i | \(0.303530\pi\) | |||||||
\(882\) | − | 1.41865e7i | − | 0.614048i | ||||||
\(883\) | 1.38642e7 | + | 1.90825e7i | 0.598403 | + | 0.823632i | 0.995561 | − | 0.0941187i | \(-0.0300033\pi\) |
−0.397157 | + | 0.917750i | \(0.630003\pi\) | |||||||
\(884\) | −154242. | − | 474709.i | −0.00663854 | − | 0.0204313i | ||||
\(885\) | −648377. | − | 683958.i | −0.0278272 | − | 0.0293543i | ||||
\(886\) | 1.00295e7 | − | 3.08676e7i | 0.429235 | − | 1.32105i | ||||
\(887\) | −1.38106e7 | + | 4.48735e6i | −0.589393 | + | 0.191505i | −0.588504 | − | 0.808494i | \(-0.700283\pi\) |
−0.000888740 | 1.00000i | \(0.500283\pi\) | ||||||||
\(888\) | −1.72168e7 | + | 5.59407e6i | −0.732689 | + | 0.238065i | ||||
\(889\) | 5.76708e6 | − | 1.77493e7i | 0.244738 | − | 0.753227i | ||||
\(890\) | −2.44955e7 | + | 1.16682e7i | −1.03660 | + | 0.493773i | ||||
\(891\) | 419822. | + | 1.29208e6i | 0.0177162 | + | 0.0545249i | ||||
\(892\) | 6.10727e6 | + | 8.40594e6i | 0.257001 | + | 0.353732i | ||||
\(893\) | − | 1.35805e7i | − | 0.569886i | ||||||
\(894\) | −1.70232e7 | + | 1.23681e7i | −0.712358 | + | 0.517559i | ||||
\(895\) | 1.25840e7 | + | 2.64181e7i | 0.525122 | + | 1.10241i | ||||
\(896\) | −1.83064e7 | − | 1.33004e7i | −0.761786 | − | 0.553470i | ||||
\(897\) | 5.77047e6 | − | 7.94236e6i | 0.239458 | − | 0.329586i | ||||
\(898\) | −2.42827e6 | − | 788992.i | −0.100486 | − | 0.0326499i | ||||
\(899\) | −3.78907e7 | −1.56363 | ||||||||
\(900\) | −1.77081e6 | + | 472516.i | −0.0728726 | + | 0.0194451i | ||||
\(901\) | 26675.9 | 0.00109473 | ||||||||
\(902\) | −6.37808e6 | − | 2.07236e6i | −0.261020 | − | 0.0848105i | ||||
\(903\) | 2.27223e7 | − | 3.12746e7i | 0.927328 | − | 1.27636i | ||||
\(904\) | 2.53177e7 | + | 1.83944e7i | 1.03039 | + | 0.748626i | ||||
\(905\) | 4.48621e7 | − | 5.88251e6i | 1.82078 | − | 0.238749i | ||||
\(906\) | −8.29916e6 | + | 6.02969e6i | −0.335903 | + | 0.244048i | ||||
\(907\) | − | 4.16490e7i | − | 1.68107i | −0.541755 | − | 0.840536i | \(-0.682240\pi\) | ||
0.541755 | − | 0.840536i | \(-0.317760\pi\) | |||||||
\(908\) | −2.93246e6 | − | 4.03619e6i | −0.118037 | − | 0.162464i | ||||
\(909\) | 3.44406e6 | + | 1.05997e7i | 0.138249 | + | 0.425486i | ||||
\(910\) | −1.98160e7 | + | 3.64514e7i | −0.793256 | + | 1.45919i | ||||
\(911\) | −1.07419e7 | + | 3.30603e7i | −0.428831 | + | 1.31981i | 0.470446 | + | 0.882429i | \(0.344093\pi\) |
−0.899278 | + | 0.437378i | \(0.855907\pi\) | |||||||
\(912\) | −1.27555e7 | + | 4.14453e6i | −0.507822 | + | 0.165002i | ||||
\(913\) | −3.88318e6 | + | 1.26172e6i | −0.154174 | + | 0.0500941i | ||||
\(914\) | 6.15321e6 | − | 1.89376e7i | 0.243633 | − | 0.749826i | ||||
\(915\) | 1.14298e6 | + | 8.71676e6i | 0.0451321 | + | 0.344193i | ||||
\(916\) | −1.13280e6 | − | 3.48639e6i | −0.0446081 | − | 0.137290i | ||||
\(917\) | −1.09659e7 | − | 1.50933e7i | −0.430646 | − | 0.592734i | ||||
\(918\) | 382320.i | 0.0149734i | ||||||||
\(919\) | −3.86535e7 | + | 2.80834e7i | −1.50973 | + | 1.09688i | −0.543435 | + | 0.839451i | \(0.682877\pi\) |
−0.966296 | + | 0.257433i | \(0.917123\pi\) | |||||||
\(920\) | 3.32665e6 | − | 1.78972e7i | 0.129580 | − | 0.697131i | ||||
\(921\) | −1.31895e7 | − | 9.58275e6i | −0.512365 | − | 0.372255i | ||||
\(922\) | 7.06895e6 | − | 9.72958e6i | 0.273859 | − | 0.376935i | ||||
\(923\) | −4.37987e7 | − | 1.42311e7i | −1.69222 | − | 0.549835i | ||||
\(924\) | −3.07715e6 | −0.118568 | ||||||||
\(925\) | 2.49968e7 | + | 2.02850e7i | 0.960573 | + | 0.779509i | ||||
\(926\) | −1.24528e7 | −0.477244 | ||||||||
\(927\) | 5.77176e6 | + | 1.87536e6i | 0.220602 | + | 0.0716779i | ||||
\(928\) | 8.01428e6 | − | 1.10307e7i | 0.305488 | − | 0.420468i | ||||
\(929\) | 302635. | + | 219878.i | 0.0115048 | + | 0.00835876i | 0.593523 | − | 0.804817i | \(-0.297737\pi\) |
−0.582018 | + | 0.813176i | \(0.697737\pi\) | |||||||
\(930\) | 1.29590e7 | − | 1.22848e7i | 0.491319 | − | 0.465759i | ||||
\(931\) | 5.73544e7 | − | 4.16704e7i | 2.16866 | − | 1.57563i | ||||
\(932\) | 6.11611e6i | 0.230640i | ||||||||
\(933\) | 4.59422e6 | + | 6.32339e6i | 0.172785 | + | 0.237819i | ||||
\(934\) | 5.14775e6 | + | 1.58431e7i | 0.193086 | + | 0.594257i | ||||
\(935\) | 1.19947e6 | + | 222954.i | 0.0448706 | + | 0.00834037i | ||||
\(936\) | −3.19664e6 | + | 9.83824e6i | −0.119263 | + | 0.367052i | ||||
\(937\) | 2.79784e6 | − | 909073.i | 0.104105 | − | 0.0338259i | −0.256501 | − | 0.966544i | \(-0.582570\pi\) |
0.360607 | + | 0.932718i | \(0.382570\pi\) | |||||||
\(938\) | 5.56984e7 | − | 1.80975e7i | 2.06698 | − | 0.671602i | ||||
\(939\) | −3.37083e6 | + | 1.03743e7i | −0.124759 | + | 0.383969i | ||||
\(940\) | −2.68316e6 | − | 498735.i | −0.0990438 | − | 0.0184099i | ||||
\(941\) | 2.98677e6 | + | 9.19232e6i | 0.109958 | + | 0.338416i | 0.990862 | − | 0.134879i | \(-0.0430645\pi\) |
−0.880904 | + | 0.473295i | \(0.843064\pi\) | |||||||
\(942\) | −4.86541e6 | − | 6.69666e6i | −0.178645 | − | 0.245884i | ||||
\(943\) | 1.08550e7i | 0.397512i | ||||||||
\(944\) | −1.12125e6 | + | 814637.i | −0.0409518 | + | 0.0297532i | ||||
\(945\) | −6.74452e6 | + | 6.39366e6i | −0.245681 | + | 0.232900i | ||||
\(946\) | 1.57004e7 | + | 1.14070e7i | 0.570403 | + | 0.414422i | ||||
\(947\) | −2.37841e7 | + | 3.27360e7i | −0.861809 | + | 1.18618i | 0.119326 | + | 0.992855i | \(0.461927\pi\) |
−0.981135 | + | 0.193324i | \(0.938073\pi\) | |||||||
\(948\) | 2.72527e6 | + | 885493.i | 0.0984891 | + | 0.0320011i | ||||
\(949\) | −2.26771e7 | −0.817377 | ||||||||
\(950\) | 2.43191e7 | + | 1.97351e7i | 0.874257 | + | 0.709464i | ||||
\(951\) | −2.63544e7 | −0.944936 | ||||||||
\(952\) | −4.46338e6 | − | 1.45024e6i | −0.159614 | − | 0.0518618i | ||||
\(953\) | 7.39283e6 | − | 1.01754e7i | 0.263681 | − | 0.362925i | −0.656563 | − | 0.754271i | \(-0.727990\pi\) |
0.920244 | + | 0.391346i | \(0.127990\pi\) | |||||||
\(954\) | −82528.2 | − | 59960.2i | −0.00293583 | − | 0.00213301i | ||||
\(955\) | 488892. | − | 2.63021e6i | 0.0173462 | − | 0.0933214i | ||||
\(956\) | 5.12121e6 | − | 3.72078e6i | 0.181229 | − | 0.131671i | ||||
\(957\) | 9.89992e6i | 0.349423i | ||||||||
\(958\) | 1.16857e7 | + | 1.60840e7i | 0.411378 | + | 0.566214i | ||||
\(959\) | 2.45593e7 | + | 7.55857e7i | 0.862322 | + | 2.65395i | ||||
\(960\) | 2.38406e6 | + | 1.81817e7i | 0.0834908 | + | 0.636730i | ||||
\(961\) | 6.87465e6 | − | 2.11580e7i | 0.240128 | − | 0.739037i | ||||
\(962\) | 3.18856e7 | − | 1.03603e7i | 1.11085 | − | 0.360939i | ||||
\(963\) | 4.57714e6 | − | 1.48720e6i | 0.159048 | − | 0.0516779i | ||||
\(964\) | −475816. | + | 1.46441e6i | −0.0164910 | + | 0.0507540i | ||||
\(965\) | 1.78632e7 | − | 3.28592e7i | 0.617505 | − | 1.13590i | ||||
\(966\) | −5.26317e6 | − | 1.61984e7i | −0.181470 | − | 0.558506i | ||||
\(967\) | −2.43589e7 | − | 3.35272e7i | −0.837706 | − | 1.15300i | −0.986439 | − | 0.164126i | \(-0.947520\pi\) |
0.148733 | − | 0.988877i | \(-0.452480\pi\) | |||||||
\(968\) | 2.30742e7i | 0.791478i | ||||||||
\(969\) | −1.54568e6 | + | 1.12300e6i | −0.0528823 | + | 0.0384213i | ||||
\(970\) | −1.78559e7 | + | 2.34135e6i | −0.609331 | + | 0.0798981i | ||||
\(971\) | 9.98934e6 | + | 7.25768e6i | 0.340008 | + | 0.247030i | 0.744665 | − | 0.667438i | \(-0.232609\pi\) |
−0.404657 | + | 0.914468i | \(0.632609\pi\) | |||||||
\(972\) | −251306. | + | 345893.i | −0.00853173 | + | 0.0117429i | ||||
\(973\) | −5.23755e6 | − | 1.70178e6i | −0.177356 | − | 0.0576265i | ||||
\(974\) | −8.63105e6 | −0.291519 | ||||||||
\(975\) | 1.77737e7 | − | 4.74267e6i | 0.598778 | − | 0.159776i | ||||
\(976\) | 1.29285e7 | 0.434434 | ||||||||
\(977\) | −1.26982e7 | − | 4.12589e6i | −0.425604 | − | 0.138287i | 0.0883802 | − | 0.996087i | \(-0.471831\pi\) |
−0.513984 | + | 0.857800i | \(0.671831\pi\) | |||||||
\(978\) | 9.43929e6 | − | 1.29921e7i | 0.315567 | − | 0.434341i | ||||
\(979\) | 1.63405e7 | + | 1.18721e7i | 0.544890 | + | 0.395886i | ||||
\(980\) | −6.12669e6 | − | 1.28621e7i | −0.203780 | − | 0.427804i | ||||
\(981\) | −1.24563e7 | + | 9.05002e6i | −0.413253 | + | 0.300246i | ||||
\(982\) | − | 2.69365e7i | − | 0.891377i | ||||||
\(983\) | −1.53108e7 | − | 2.10735e7i | −0.505376 | − | 0.695591i | 0.477755 | − | 0.878493i | \(-0.341451\pi\) |
−0.983131 | + | 0.182902i | \(0.941451\pi\) | |||||||
\(984\) | −3.53453e6 | − | 1.08782e7i | −0.116371 | − | 0.358152i | ||||
\(985\) | 4.25989e7 | − | 2.02915e7i | 1.39897 | − | 0.666382i | ||||
\(986\) | −860912. | + | 2.64961e6i | −0.0282011 | + | 0.0867941i | ||||
\(987\) | −1.31613e7 | + | 4.27635e6i | −0.430036 | + | 0.139727i | ||||
\(988\) | −9.07171e6 | + | 2.94758e6i | −0.295663 | + | 0.0960666i | ||||
\(989\) | 9.70690e6 | − | 2.98748e7i | 0.315566 | − | 0.971211i | ||||
\(990\) | −3.20972e6 | − | 3.38586e6i | −0.104083 | − | 0.109795i | ||||
\(991\) | 1.39659e7 | + | 4.29827e7i | 0.451737 | + | 1.39030i | 0.874924 | + | 0.484261i | \(0.160912\pi\) |
−0.423186 | + | 0.906043i | \(0.639088\pi\) | |||||||
\(992\) | 1.07608e7 | + | 1.48110e7i | 0.347188 | + | 0.477864i | ||||
\(993\) | 488110.i | 0.0157089i | ||||||||
\(994\) | −6.46375e7 | + | 4.69619e7i | −2.07500 | + | 1.50758i | ||||
\(995\) | −3.31431e6 | − | 1.80175e6i | −0.106129 | − | 0.0576949i | ||||
\(996\) | −1.03954e6 | − | 755269.i | −0.0332041 | − | 0.0241242i | ||||
\(997\) | −7.88986e6 | + | 1.08595e7i | −0.251380 | + | 0.345995i | −0.915994 | − | 0.401192i | \(-0.868596\pi\) |
0.664614 | + | 0.747187i | \(0.268596\pi\) | |||||||
\(998\) | −1.24884e7 | − | 4.05773e6i | −0.396900 | − | 0.128961i | ||||
\(999\) | 7.50974e6 | 0.238074 |
(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 | 75.6.i.a.4.7 | ✓ | 96 | |
25.19 | even | 10 | inner | 75.6.i.a.19.7 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.6.i.a.4.7 | ✓ | 96 | 1.1 | even | 1 | trivial | |
75.6.i.a.19.7 | yes | 96 | 25.19 | even | 10 | inner |