Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,6,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), 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: | \(11.0664835671\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 13.6 | ||
Character | \(\chi\) | \(=\) | 69.13 |
Dual form | 69.6.e.b.16.6 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.18855 | + | 2.52572i | 0.386885 | + | 0.446489i | 0.915467 | − | 0.402393i | \(-0.131822\pi\) |
−0.528582 | + | 0.848882i | \(0.677276\pi\) | |||||||
\(3\) | 7.57128 | + | 4.86577i | 0.485698 | + | 0.312139i | ||||
\(4\) | 2.96456 | − | 20.6189i | 0.0926424 | − | 0.644342i | ||||
\(5\) | −1.08863 | + | 2.38376i | −0.0194740 | + | 0.0426420i | −0.919119 | − | 0.393980i | \(-0.871098\pi\) |
0.899645 | + | 0.436622i | \(0.143825\pi\) | |||||||
\(6\) | 4.28056 | + | 29.7719i | 0.0485425 | + | 0.337621i | ||||
\(7\) | 60.1265 | + | 17.6547i | 0.463789 | + | 0.136181i | 0.505275 | − | 0.862958i | \(-0.331391\pi\) |
−0.0414860 | + | 0.999139i | \(0.513209\pi\) | |||||||
\(8\) | 148.533 | − | 95.4564i | 0.820537 | − | 0.527327i | ||||
\(9\) | 33.6486 | + | 73.6802i | 0.138472 | + | 0.303211i | ||||
\(10\) | −8.40324 | + | 2.46741i | −0.0265734 | + | 0.00780265i | ||||
\(11\) | 66.0544 | − | 76.2309i | 0.164596 | − | 0.189954i | −0.667460 | − | 0.744646i | \(-0.732618\pi\) |
0.832056 | + | 0.554692i | \(0.187164\pi\) | |||||||
\(12\) | 122.772 | − | 141.687i | 0.246121 | − | 0.284038i | ||||
\(13\) | 980.347 | − | 287.856i | 1.60887 | − | 0.472407i | 0.650874 | − | 0.759186i | \(-0.274403\pi\) |
0.957997 | + | 0.286779i | \(0.0925844\pi\) | |||||||
\(14\) | 86.9989 | + | 190.501i | 0.118630 | + | 0.259763i | ||||
\(15\) | −19.8411 | + | 12.7511i | −0.0227687 | + | 0.0146326i | ||||
\(16\) | −73.4212 | − | 21.5584i | −0.0717004 | − | 0.0210531i | ||||
\(17\) | 102.799 | + | 714.982i | 0.0862713 | + | 0.600030i | 0.986395 | + | 0.164395i | \(0.0525671\pi\) |
−0.900123 | + | 0.435635i | \(0.856524\pi\) | |||||||
\(18\) | −112.454 | + | 246.240i | −0.0818076 | + | 0.179134i | ||||
\(19\) | 118.644 | − | 825.185i | 0.0753982 | − | 0.524406i | −0.916762 | − | 0.399434i | \(-0.869207\pi\) |
0.992160 | − | 0.124972i | \(-0.0398841\pi\) | |||||||
\(20\) | 45.9234 | + | 29.5132i | 0.0256720 | + | 0.0164984i | ||||
\(21\) | 369.331 | + | 426.230i | 0.182754 | + | 0.210909i | ||||
\(22\) | 337.101 | 0.148492 | ||||||||
\(23\) | −830.673 | + | 2397.15i | −0.327424 | + | 0.944878i | ||||
\(24\) | 1589.05 | 0.563133 | ||||||||
\(25\) | 2041.94 | + | 2356.53i | 0.653422 | + | 0.754089i | ||||
\(26\) | 2872.58 | + | 1846.10i | 0.833372 | + | 0.535576i | ||||
\(27\) | −103.748 | + | 721.580i | −0.0273885 | + | 0.190491i | ||||
\(28\) | 542.270 | − | 1187.41i | 0.130714 | − | 0.286223i | ||||
\(29\) | −366.071 | − | 2546.08i | −0.0808296 | − | 0.562182i | −0.989485 | − | 0.144635i | \(-0.953799\pi\) |
0.908655 | − | 0.417547i | \(-0.137110\pi\) | |||||||
\(30\) | −75.6292 | − | 22.2067i | −0.0153421 | − | 0.00450486i | ||||
\(31\) | 332.765 | − | 213.855i | 0.0621918 | − | 0.0399682i | −0.509175 | − | 0.860663i | \(-0.670050\pi\) |
0.571367 | + | 0.820695i | \(0.306413\pi\) | |||||||
\(32\) | −2453.32 | − | 5372.02i | −0.423525 | − | 0.927390i | ||||
\(33\) | 871.038 | − | 255.760i | 0.139236 | − | 0.0408835i | ||||
\(34\) | −1580.87 | + | 1824.42i | −0.234530 | + | 0.270662i | ||||
\(35\) | −107.540 | + | 124.108i | −0.0148388 | + | 0.0171249i | ||||
\(36\) | 1618.96 | − | 475.370i | 0.208200 | − | 0.0611330i | ||||
\(37\) | −2448.54 | − | 5361.55i | −0.294037 | − | 0.643852i | 0.703742 | − | 0.710455i | \(-0.251511\pi\) |
−0.997780 | + | 0.0666037i | \(0.978784\pi\) | |||||||
\(38\) | 2343.85 | − | 1506.30i | 0.263312 | − | 0.169220i | ||||
\(39\) | 8823.12 | + | 2590.70i | 0.928882 | + | 0.272744i | ||||
\(40\) | 65.8482 | + | 457.984i | 0.00650719 | + | 0.0452585i | ||||
\(41\) | −5068.58 | + | 11098.6i | −0.470898 | + | 1.03112i | 0.513969 | + | 0.857809i | \(0.328175\pi\) |
−0.984867 | + | 0.173313i | \(0.944553\pi\) | |||||||
\(42\) | −268.240 | + | 1865.65i | −0.0234639 | + | 0.163195i | ||||
\(43\) | −14142.6 | − | 9088.90i | −1.16643 | − | 0.749618i | −0.193585 | − | 0.981083i | \(-0.562012\pi\) |
−0.972843 | + | 0.231466i | \(0.925648\pi\) | |||||||
\(44\) | −1375.98 | − | 1587.96i | −0.107147 | − | 0.123654i | ||||
\(45\) | −212.267 | −0.0156261 | ||||||||
\(46\) | −7872.50 | + | 3148.23i | −0.548553 | + | 0.219368i | ||||
\(47\) | 6572.62 | 0.434004 | 0.217002 | − | 0.976171i | \(-0.430372\pi\) | ||||
0.217002 | + | 0.976171i | \(0.430372\pi\) | |||||||
\(48\) | −450.994 | − | 520.475i | −0.0282532 | − | 0.0326060i | ||||
\(49\) | −10835.4 | − | 6963.52i | −0.644698 | − | 0.414322i | ||||
\(50\) | −1483.04 | + | 10314.8i | −0.0838933 | + | 0.583491i | ||||
\(51\) | −2700.62 | + | 5913.53i | −0.145391 | + | 0.318362i | ||||
\(52\) | −3028.99 | − | 21067.1i | −0.155342 | − | 1.08043i | ||||
\(53\) | −16145.4 | − | 4740.71i | −0.789511 | − | 0.231821i | −0.137972 | − | 0.990436i | \(-0.544058\pi\) |
−0.651539 | + | 0.758615i | \(0.725876\pi\) | |||||||
\(54\) | −2049.57 | + | 1317.18i | −0.0956484 | + | 0.0614695i | ||||
\(55\) | 109.808 | + | 240.445i | 0.00489470 | + | 0.0107179i | ||||
\(56\) | 10616.0 | − | 3117.15i | 0.452368 | − | 0.132827i | ||||
\(57\) | 4913.45 | − | 5670.42i | 0.200308 | − | 0.231168i | ||||
\(58\) | 5629.52 | − | 6496.82i | 0.219736 | − | 0.253589i | ||||
\(59\) | −12062.6 | + | 3541.90i | −0.451139 | + | 0.132466i | −0.499406 | − | 0.866368i | \(-0.666448\pi\) |
0.0482668 | + | 0.998834i | \(0.484630\pi\) | |||||||
\(60\) | 204.095 | + | 446.905i | 0.00731903 | + | 0.0160264i | ||||
\(61\) | −29683.0 | + | 19076.1i | −1.02137 | + | 0.656395i | −0.940312 | − | 0.340315i | \(-0.889466\pi\) |
−0.0810585 | + | 0.996709i | \(0.525830\pi\) | |||||||
\(62\) | 1268.41 | + | 372.439i | 0.0419064 | + | 0.0123048i | ||||
\(63\) | 722.369 | + | 5024.19i | 0.0229302 | + | 0.159483i | ||||
\(64\) | 7181.80 | − | 15725.9i | 0.219171 | − | 0.479918i | ||||
\(65\) | −381.053 | + | 2650.28i | −0.0111867 | + | 0.0778052i | ||||
\(66\) | 2552.29 | + | 1640.26i | 0.0721224 | + | 0.0463502i | ||||
\(67\) | −22906.4 | − | 26435.4i | −0.623403 | − | 0.719446i | 0.352946 | − | 0.935644i | \(-0.385180\pi\) |
−0.976350 | + | 0.216198i | \(0.930634\pi\) | |||||||
\(68\) | 15046.9 | 0.394617 | ||||||||
\(69\) | −17953.2 | + | 14107.6i | −0.453962 | + | 0.356723i | ||||
\(70\) | −548.819 | −0.0133870 | ||||||||
\(71\) | 31589.1 | + | 36455.7i | 0.743688 | + | 0.858262i | 0.993941 | − | 0.109919i | \(-0.0350591\pi\) |
−0.250252 | + | 0.968181i | \(0.580514\pi\) | |||||||
\(72\) | 12031.2 | + | 7731.97i | 0.273512 | + | 0.175776i | ||||
\(73\) | 5659.59 | − | 39363.3i | 0.124302 | − | 0.864539i | −0.828292 | − | 0.560296i | \(-0.810687\pi\) |
0.952594 | − | 0.304243i | \(-0.0984036\pi\) | |||||||
\(74\) | 8183.03 | − | 17918.3i | 0.173714 | − | 0.380381i | ||||
\(75\) | 3993.81 | + | 27777.6i | 0.0819849 | + | 0.570218i | ||||
\(76\) | −16662.7 | − | 4892.62i | −0.330912 | − | 0.0971644i | ||||
\(77\) | 5317.45 | − | 3417.32i | 0.102206 | − | 0.0656839i | ||||
\(78\) | 12766.4 | + | 27954.6i | 0.237593 | + | 0.520256i | ||||
\(79\) | −7875.41 | + | 2312.43i | −0.141973 | + | 0.0416870i | −0.351947 | − | 0.936020i | \(-0.614480\pi\) |
0.209974 | + | 0.977707i | \(0.432662\pi\) | |||||||
\(80\) | 131.319 | − | 151.550i | 0.00229404 | − | 0.00264746i | ||||
\(81\) | −4296.54 | + | 4958.47i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −39124.9 | + | 11488.1i | −0.642568 | + | 0.188675i | ||||
\(83\) | 29990.0 | + | 65668.9i | 0.477838 | + | 1.04632i | 0.983052 | + | 0.183326i | \(0.0586863\pi\) |
−0.505214 | + | 0.862994i | \(0.668586\pi\) | |||||||
\(84\) | 9883.32 | − | 6351.62i | 0.152829 | − | 0.0982170i | ||||
\(85\) | −1816.26 | − | 533.301i | −0.0272666 | − | 0.00800618i | ||||
\(86\) | −7995.77 | − | 55611.8i | −0.116577 | − | 0.810813i | ||||
\(87\) | 9617.00 | − | 21058.3i | 0.136220 | − | 0.298281i | ||||
\(88\) | 2534.54 | − | 17628.1i | 0.0348893 | − | 0.242661i | ||||
\(89\) | 97496.6 | + | 62657.2i | 1.30471 | + | 0.838487i | 0.993717 | − | 0.111925i | \(-0.0357017\pi\) |
0.310994 | + | 0.950412i | \(0.399338\pi\) | |||||||
\(90\) | −464.557 | − | 536.127i | −0.00604551 | − | 0.00697689i | ||||
\(91\) | 64026.8 | 0.810510 | ||||||||
\(92\) | 46964.1 | + | 24234.1i | 0.578491 | + | 0.298509i | ||||
\(93\) | 3560.02 | 0.0426821 | ||||||||
\(94\) | 14384.5 | + | 16600.6i | 0.167910 | + | 0.193778i | ||||
\(95\) | 1837.89 | + | 1181.14i | 0.0208934 | + | 0.0134274i | ||||
\(96\) | 7564.22 | − | 52610.3i | 0.0837696 | − | 0.582630i | ||||
\(97\) | −44685.9 | + | 97848.4i | −0.482215 | + | 1.05590i | 0.499633 | + | 0.866237i | \(0.333468\pi\) |
−0.981848 | + | 0.189667i | \(0.939259\pi\) | |||||||
\(98\) | −6126.01 | − | 42607.3i | −0.0644336 | − | 0.448146i | ||||
\(99\) | 7839.34 | + | 2301.84i | 0.0803881 | + | 0.0236041i | ||||
\(100\) | 54642.6 | − | 35116.6i | 0.546426 | − | 0.351166i | ||||
\(101\) | −436.862 | − | 956.593i | −0.00426128 | − | 0.00933091i | 0.907489 | − | 0.420075i | \(-0.137996\pi\) |
−0.911751 | + | 0.410744i | \(0.865269\pi\) | |||||||
\(102\) | −20846.4 | + | 6121.04i | −0.198395 | + | 0.0582539i | ||||
\(103\) | 69470.3 | − | 80173.0i | 0.645217 | − | 0.744621i | −0.335071 | − | 0.942193i | \(-0.608760\pi\) |
0.980288 | + | 0.197572i | \(0.0633057\pi\) | |||||||
\(104\) | 118136. | − | 136336.i | 1.07103 | − | 1.23603i | ||||
\(105\) | −1418.10 | + | 416.390i | −0.0125526 | + | 0.00368576i | ||||
\(106\) | −23361.2 | − | 51154.0i | −0.201944 | − | 0.442196i | ||||
\(107\) | −95615.2 | + | 61448.1i | −0.807360 | + | 0.518859i | −0.878010 | − | 0.478642i | \(-0.841129\pi\) |
0.0706498 | + | 0.997501i | \(0.477493\pi\) | |||||||
\(108\) | 14570.7 | + | 4278.33i | 0.120204 | + | 0.0352951i | ||||
\(109\) | 11255.6 | + | 78284.5i | 0.0907408 | + | 0.631116i | 0.983544 | + | 0.180669i | \(0.0578264\pi\) |
−0.892803 | + | 0.450447i | \(0.851265\pi\) | |||||||
\(110\) | −366.978 | + | 803.570i | −0.00289173 | + | 0.00633201i | ||||
\(111\) | 7549.48 | − | 52507.8i | 0.0581580 | − | 0.404498i | ||||
\(112\) | −4033.95 | − | 2592.46i | −0.0303868 | − | 0.0195284i | ||||
\(113\) | 15734.6 | + | 18158.7i | 0.115920 | + | 0.133779i | 0.810744 | − | 0.585401i | \(-0.199063\pi\) |
−0.694823 | + | 0.719180i | \(0.744517\pi\) | |||||||
\(114\) | 25075.2 | 0.180710 | ||||||||
\(115\) | −4809.94 | − | 4589.73i | −0.0339153 | − | 0.0323625i | ||||
\(116\) | −53582.7 | −0.369726 | ||||||||
\(117\) | 54196.6 | + | 62546.2i | 0.366022 | + | 0.422412i | ||||
\(118\) | −35345.4 | − | 22715.1i | −0.233684 | − | 0.150179i | ||||
\(119\) | −6441.88 | + | 44804.2i | −0.0417009 | + | 0.290036i | ||||
\(120\) | −1729.89 | + | 3787.93i | −0.0109664 | + | 0.0240131i | ||||
\(121\) | 21472.0 | + | 149341.i | 0.133324 | + | 0.927290i | ||||
\(122\) | −113144. | − | 33222.0i | −0.688225 | − | 0.202081i | ||||
\(123\) | −92379.0 | + | 59368.4i | −0.550568 | + | 0.353828i | ||||
\(124\) | −3422.96 | − | 7495.24i | −0.0199916 | − | 0.0437755i | ||||
\(125\) | −15697.9 | + | 4609.32i | −0.0898600 | + | 0.0263853i | ||||
\(126\) | −11108.8 | + | 12820.2i | −0.0623360 | + | 0.0719396i | ||||
\(127\) | −64616.3 | + | 74571.2i | −0.355495 | + | 0.410263i | −0.905125 | − | 0.425145i | \(-0.860223\pi\) |
0.549631 | + | 0.835408i | \(0.314769\pi\) | |||||||
\(128\) | −125890. | + | 36964.7i | −0.679153 | + | 0.199417i | ||||
\(129\) | −62853.1 | − | 137629.i | −0.332547 | − | 0.728176i | ||||
\(130\) | −7527.83 | + | 4837.84i | −0.0390671 | + | 0.0251069i | ||||
\(131\) | −283448. | − | 83227.8i | −1.44309 | − | 0.423731i | −0.535842 | − | 0.844318i | \(-0.680006\pi\) |
−0.907252 | + | 0.420587i | \(0.861824\pi\) | |||||||
\(132\) | −2691.26 | − | 18718.1i | −0.0134437 | − | 0.0935033i | ||||
\(133\) | 21702.0 | − | 47520.9i | 0.106383 | − | 0.232946i | ||||
\(134\) | 16636.6 | − | 115710.i | 0.0800392 | − | 0.556685i | ||||
\(135\) | −1607.13 | − | 1032.84i | −0.00758957 | − | 0.00487752i | ||||
\(136\) | 83518.7 | + | 96385.7i | 0.387201 | + | 0.446854i | ||||
\(137\) | −279972. | −1.27442 | −0.637211 | − | 0.770690i | \(-0.719912\pi\) | ||||
−0.637211 | + | 0.770690i | \(0.719912\pi\) | |||||||
\(138\) | −74923.5 | − | 14469.6i | −0.334904 | − | 0.0646784i | ||||
\(139\) | −67679.2 | −0.297111 | −0.148555 | − | 0.988904i | \(-0.547462\pi\) | ||||
−0.148555 | + | 0.988904i | \(0.547462\pi\) | |||||||
\(140\) | 2240.16 | + | 2585.29i | 0.00965961 | + | 0.0111478i | ||||
\(141\) | 49763.2 | + | 31980.9i | 0.210795 | + | 0.135470i | ||||
\(142\) | −22942.8 | + | 159570.i | −0.0954827 | + | 0.664097i | ||||
\(143\) | 42812.7 | − | 93746.8i | 0.175078 | − | 0.383368i | ||||
\(144\) | −882.094 | − | 6135.10i | −0.00354494 | − | 0.0246556i | ||||
\(145\) | 6467.76 | + | 1899.11i | 0.0255467 | + | 0.00750118i | ||||
\(146\) | 111807. | − | 71854.1i | 0.434098 | − | 0.278978i | ||||
\(147\) | −48155.4 | − | 105446.i | −0.183802 | − | 0.402471i | ||||
\(148\) | −117808. | + | 34591.6i | −0.442101 | + | 0.129813i | ||||
\(149\) | −187948. | + | 216903.i | −0.693540 | + | 0.800387i | −0.987865 | − | 0.155318i | \(-0.950360\pi\) |
0.294325 | + | 0.955705i | \(0.404905\pi\) | |||||||
\(150\) | −61417.7 | + | 70879.8i | −0.222877 | + | 0.257214i | ||||
\(151\) | 327152. | − | 96060.4i | 1.16763 | − | 0.342848i | 0.360239 | − | 0.932860i | \(-0.382695\pi\) |
0.807395 | + | 0.590012i | \(0.200877\pi\) | |||||||
\(152\) | −61146.7 | − | 133893.i | −0.214666 | − | 0.470054i | ||||
\(153\) | −49221.0 | + | 31632.4i | −0.169989 | + | 0.109246i | ||||
\(154\) | 20268.7 | + | 5951.43i | 0.0688691 | + | 0.0202218i | ||||
\(155\) | 147.522 | + | 1026.04i | 0.000493206 | + | 0.00343032i | ||||
\(156\) | 79574.2 | − | 174243.i | 0.261795 | − | 0.573250i | ||||
\(157\) | 74357.2 | − | 517166.i | 0.240754 | − | 1.67448i | −0.407612 | − | 0.913155i | \(-0.633639\pi\) |
0.648367 | − | 0.761328i | \(-0.275452\pi\) | |||||||
\(158\) | −23076.3 | − | 14830.2i | −0.0735399 | − | 0.0472612i | ||||
\(159\) | −99173.9 | − | 114453.i | −0.311103 | − | 0.359032i | ||||
\(160\) | 15476.4 | 0.0477935 | ||||||||
\(161\) | −92266.4 | + | 129467.i | −0.280530 | + | 0.393635i | ||||
\(162\) | −21926.9 | −0.0656433 | ||||||||
\(163\) | 218683. | + | 252374.i | 0.644684 | + | 0.744005i | 0.980196 | − | 0.198031i | \(-0.0634548\pi\) |
−0.335512 | + | 0.942036i | \(0.608909\pi\) | |||||||
\(164\) | 213816. | + | 137411.i | 0.620770 | + | 0.398945i | ||||
\(165\) | −338.566 | + | 2354.78i | −0.000968129 | + | 0.00673348i | ||||
\(166\) | −100227. | + | 219466.i | −0.282302 | + | 0.618155i | ||||
\(167\) | −4662.44 | − | 32428.0i | −0.0129367 | − | 0.0899765i | 0.982330 | − | 0.187156i | \(-0.0599270\pi\) |
−0.995267 | + | 0.0971795i | \(0.969018\pi\) | |||||||
\(168\) | 95544.2 | + | 28054.3i | 0.261175 | + | 0.0766878i | ||||
\(169\) | 565867. | − | 363661.i | 1.52404 | − | 0.979444i | ||||
\(170\) | −2628.00 | − | 5754.52i | −0.00697434 | − | 0.0152717i | ||||
\(171\) | 64792.0 | − | 19024.7i | 0.169446 | − | 0.0497538i | ||||
\(172\) | −229330. | + | 264661.i | −0.591071 | + | 0.682132i | ||||
\(173\) | 299367. | − | 345488.i | 0.760482 | − | 0.877643i | −0.235058 | − | 0.971981i | \(-0.575528\pi\) |
0.995540 | + | 0.0943385i | \(0.0300736\pi\) | |||||||
\(174\) | 74234.7 | − | 21797.3i | 0.185880 | − | 0.0545794i | ||||
\(175\) | 81170.9 | + | 177740.i | 0.200357 | + | 0.438722i | ||||
\(176\) | −6493.21 | + | 4172.93i | −0.0158008 | + | 0.0101545i | ||||
\(177\) | −108563. | − | 31877.1i | −0.260465 | − | 0.0764795i | ||||
\(178\) | 55121.4 | + | 383378.i | 0.130398 | + | 0.906936i | ||||
\(179\) | 169753. | − | 371707.i | 0.395990 | − | 0.867098i | −0.601671 | − | 0.798744i | \(-0.705498\pi\) |
0.997661 | − | 0.0683536i | \(-0.0217746\pi\) | |||||||
\(180\) | −629.277 | + | 4376.72i | −0.00144764 | + | 0.0100686i | ||||
\(181\) | 202085. | + | 129872.i | 0.458498 | + | 0.294659i | 0.749428 | − | 0.662085i | \(-0.230328\pi\) |
−0.290930 | + | 0.956744i | \(0.593965\pi\) | |||||||
\(182\) | 140126. | + | 161714.i | 0.313574 | + | 0.361883i | ||||
\(183\) | −317558. | −0.700964 | ||||||||
\(184\) | 105441. | + | 435349.i | 0.229596 | + | 0.947967i | ||||
\(185\) | 15446.2 | 0.0331812 | ||||||||
\(186\) | 7791.29 | + | 8991.63i | 0.0165130 | + | 0.0190571i | ||||
\(187\) | 61294.0 | + | 39391.3i | 0.128178 | + | 0.0823751i | ||||
\(188\) | 19484.9 | − | 135521.i | 0.0402072 | − | 0.279647i | ||||
\(189\) | −18977.3 | + | 41554.4i | −0.0386437 | + | 0.0846180i | ||||
\(190\) | 1039.08 | + | 7226.97i | 0.00208817 | + | 0.0145235i | ||||
\(191\) | −10648.6 | − | 3126.71i | −0.0211207 | − | 0.00620161i | 0.271155 | − | 0.962536i | \(-0.412594\pi\) |
−0.292276 | + | 0.956334i | \(0.594413\pi\) | |||||||
\(192\) | 130894. | − | 84120.6i | 0.256252 | − | 0.164683i | ||||
\(193\) | 60291.4 | + | 132020.i | 0.116510 | + | 0.255121i | 0.958898 | − | 0.283750i | \(-0.0915785\pi\) |
−0.842389 | + | 0.538870i | \(0.818851\pi\) | |||||||
\(194\) | −344935. | + | 101282.i | −0.658011 | + | 0.193209i | ||||
\(195\) | −15780.7 | + | 18211.9i | −0.0297194 | + | 0.0342980i | ||||
\(196\) | −175703. | + | 202772.i | −0.326692 | + | 0.377022i | ||||
\(197\) | 143827. | − | 42231.5i | 0.264044 | − | 0.0775302i | −0.147031 | − | 0.989132i | \(-0.546972\pi\) |
0.411075 | + | 0.911602i | \(0.365154\pi\) | |||||||
\(198\) | 11343.0 | + | 24837.7i | 0.0205620 | + | 0.0450244i | ||||
\(199\) | −171948. | + | 110504.i | −0.307797 | + | 0.197809i | −0.685415 | − | 0.728152i | \(-0.740379\pi\) |
0.377619 | + | 0.925961i | \(0.376743\pi\) | |||||||
\(200\) | 528242. | + | 155106.i | 0.933808 | + | 0.274191i | ||||
\(201\) | −44802.3 | − | 311607.i | −0.0782185 | − | 0.544022i | ||||
\(202\) | 1460.00 | − | 3196.94i | 0.00251752 | − | 0.00551260i | ||||
\(203\) | 22939.8 | − | 159550.i | 0.0390705 | − | 0.271741i | ||||
\(204\) | 113925. | + | 73214.9i | 0.191665 | + | 0.123175i | ||||
\(205\) | −20938.7 | − | 24164.6i | −0.0347989 | − | 0.0401601i | ||||
\(206\) | 354534. | 0.582089 | ||||||||
\(207\) | −204573. | + | 19456.6i | −0.331836 | + | 0.0315603i | ||||
\(208\) | −78183.9 | −0.125302 | ||||||||
\(209\) | −55067.6 | − | 63551.5i | −0.0872029 | − | 0.100637i | ||||
\(210\) | −4155.26 | − | 2670.42i | −0.00650204 | − | 0.00417861i | ||||
\(211\) | 140859. | − | 979698.i | 0.217811 | − | 1.51491i | −0.528284 | − | 0.849068i | \(-0.677164\pi\) |
0.746095 | − | 0.665840i | \(-0.231927\pi\) | |||||||
\(212\) | −145612. | + | 318846.i | −0.222514 | + | 0.487239i | ||||
\(213\) | 61784.6 | + | 429722.i | 0.0933107 | + | 0.648990i | ||||
\(214\) | −364460. | − | 107015.i | −0.544020 | − | 0.159739i | ||||
\(215\) | 37061.8 | − | 23818.2i | 0.0546802 | − | 0.0351409i | ||||
\(216\) | 53469.5 | + | 117082.i | 0.0779779 | + | 0.170748i | ||||
\(217\) | 23783.5 | − | 6983.47i | 0.0342868 | − | 0.0100675i | ||||
\(218\) | −173091. | + | 199758.i | −0.246680 | + | 0.284684i | ||||
\(219\) | 234383. | − | 270493.i | 0.330230 | − | 0.381105i | ||||
\(220\) | 5283.26 | − | 1551.30i | 0.00735944 | − | 0.00216093i | ||||
\(221\) | 306590. | + | 671339.i | 0.422258 | + | 0.924616i | ||||
\(222\) | 149142. | − | 95848.1i | 0.203104 | − | 0.130527i | ||||
\(223\) | −804816. | − | 236315.i | −1.08376 | − | 0.318222i | −0.309380 | − | 0.950938i | \(-0.600122\pi\) |
−0.774383 | + | 0.632717i | \(0.781940\pi\) | |||||||
\(224\) | −52667.9 | − | 366313.i | −0.0701335 | − | 0.487789i | ||||
\(225\) | −104921. | + | 229745.i | −0.138167 | + | 0.302544i | ||||
\(226\) | −11427.9 | + | 79482.5i | −0.0148831 | + | 0.103514i | ||||
\(227\) | 87789.2 | + | 56418.7i | 0.113078 | + | 0.0726705i | 0.595957 | − | 0.803016i | \(-0.296773\pi\) |
−0.482880 | + | 0.875687i | \(0.660409\pi\) | |||||||
\(228\) | −102352. | − | 118120.i | −0.130394 | − | 0.150483i | ||||
\(229\) | 21417.9 | 0.0269891 | 0.0134945 | − | 0.999909i | \(-0.495704\pi\) | ||||
0.0134945 | + | 0.999909i | \(0.495704\pi\) | |||||||
\(230\) | 1065.59 | − | 22193.4i | 0.00132822 | − | 0.0276634i | ||||
\(231\) | 56887.8 | 0.0701438 | ||||||||
\(232\) | −297413. | − | 343233.i | −0.362777 | − | 0.418667i | ||||
\(233\) | 866343. | + | 556765.i | 1.04544 | + | 0.671865i | 0.946327 | − | 0.323211i | \(-0.104762\pi\) |
0.0991155 | + | 0.995076i | \(0.468399\pi\) | |||||||
\(234\) | −39362.3 | + | 273771.i | −0.0469938 | + | 0.326849i | ||||
\(235\) | −7155.14 | + | 15667.6i | −0.00845179 | + | 0.0185068i | ||||
\(236\) | 37269.9 | + | 259218.i | 0.0435591 | + | 0.302960i | ||||
\(237\) | −70878.7 | − | 20811.9i | −0.0819681 | − | 0.0240680i | ||||
\(238\) | −127261. | + | 81786.0i | −0.145631 | + | 0.0935915i | ||||
\(239\) | −45250.3 | − | 99084.3i | −0.0512421 | − | 0.112204i | 0.882279 | − | 0.470726i | \(-0.156008\pi\) |
−0.933521 | + | 0.358522i | \(0.883281\pi\) | |||||||
\(240\) | 1731.65 | − | 508.460i | 0.00194059 | − | 0.000569808i | ||||
\(241\) | 602911. | − | 695796.i | 0.668668 | − | 0.771684i | −0.315499 | − | 0.948926i | \(-0.602172\pi\) |
0.984167 | + | 0.177242i | \(0.0567174\pi\) | |||||||
\(242\) | −330201. | + | 381072.i | −0.362443 | + | 0.418282i | ||||
\(243\) | −56657.1 | + | 16636.0i | −0.0615515 | + | 0.0180732i | ||||
\(244\) | 305332. | + | 668584.i | 0.328321 | + | 0.718922i | ||||
\(245\) | 28395.1 | − | 18248.5i | 0.0302224 | − | 0.0194228i | ||||
\(246\) | −352124. | − | 103393.i | −0.370987 | − | 0.108931i | ||||
\(247\) | −121222. | − | 843120.i | −0.126427 | − | 0.879320i | ||||
\(248\) | 29012.7 | − | 63529.0i | 0.0299543 | − | 0.0655908i | ||||
\(249\) | −92467.0 | + | 643122.i | −0.0945123 | + | 0.657347i | ||||
\(250\) | −45997.5 | − | 29560.8i | −0.0465462 | − | 0.0299134i | ||||
\(251\) | −1.19714e6 | − | 1.38157e6i | −1.19939 | − | 1.38417i | −0.903299 | − | 0.429012i | \(-0.858862\pi\) |
−0.296093 | − | 0.955159i | \(-0.595684\pi\) | |||||||
\(252\) | 105735. | 0.104886 | ||||||||
\(253\) | 127867. | + | 221665.i | 0.125591 | + | 0.217719i | ||||
\(254\) | −329762. | −0.320713 | ||||||||
\(255\) | −11156.5 | − | 12875.3i | −0.0107443 | − | 0.0123995i | ||||
\(256\) | −834282. | − | 536160.i | −0.795633 | − | 0.511322i | ||||
\(257\) | 157307. | − | 1.09410e6i | 0.148565 | − | 1.03329i | −0.770006 | − | 0.638036i | \(-0.779747\pi\) |
0.918571 | − | 0.395256i | \(-0.129344\pi\) | |||||||
\(258\) | 210056. | − | 459958.i | 0.196465 | − | 0.430198i | ||||
\(259\) | −52565.2 | − | 365599.i | −0.0486910 | − | 0.338654i | ||||
\(260\) | 53516.4 | + | 15713.8i | 0.0490968 | + | 0.0144161i | ||||
\(261\) | 175278. | − | 112644.i | 0.159267 | − | 0.102355i | ||||
\(262\) | −410129. | − | 898058.i | −0.369120 | − | 0.808260i | ||||
\(263\) | −1.93541e6 | + | 568289.i | −1.72538 | + | 0.506617i | −0.986010 | − | 0.166684i | \(-0.946694\pi\) |
−0.739369 | + | 0.673301i | \(0.764876\pi\) | |||||||
\(264\) | 104964. | − | 121135.i | 0.0926895 | − | 0.106969i | ||||
\(265\) | 28877.0 | − | 33325.9i | 0.0252603 | − | 0.0291519i | ||||
\(266\) | 167520. | − | 49188.5i | 0.145166 | − | 0.0426245i | ||||
\(267\) | 433298. | + | 948791.i | 0.371971 | + | 0.814503i | ||||
\(268\) | −612976. | + | 393936.i | −0.521323 | + | 0.335034i | ||||
\(269\) | 945045. | + | 277490.i | 0.796291 | + | 0.233812i | 0.654478 | − | 0.756081i | \(-0.272889\pi\) |
0.141813 | + | 0.989893i | \(0.454707\pi\) | |||||||
\(270\) | −908.621 | − | 6319.60i | −0.000758531 | − | 0.00527570i | ||||
\(271\) | −116820. | + | 255801.i | −0.0966263 | + | 0.211582i | −0.951772 | − | 0.306805i | \(-0.900740\pi\) |
0.855146 | + | 0.518387i | \(0.173467\pi\) | |||||||
\(272\) | 7866.26 | − | 54711.0i | 0.00644683 | − | 0.0448387i | ||||
\(273\) | 484765. | + | 311539.i | 0.393663 | + | 0.252992i | ||||
\(274\) | −612733. | − | 707131.i | −0.493054 | − | 0.569015i | ||||
\(275\) | 314519. | 0.250793 | ||||||||
\(276\) | 237661. | + | 412000.i | 0.187796 | + | 0.325555i | ||||
\(277\) | −615757. | −0.482181 | −0.241090 | − | 0.970503i | \(-0.577505\pi\) | ||||
−0.241090 | + | 0.970503i | \(0.577505\pi\) | |||||||
\(278\) | −148119. | − | 170939.i | −0.114948 | − | 0.132657i | ||||
\(279\) | 26953.9 | + | 17322.2i | 0.0207306 | + | 0.0133227i | ||||
\(280\) | −4126.36 | + | 28699.5i | −0.00314538 | + | 0.0218766i | ||||
\(281\) | −745330. | + | 1.63205e6i | −0.563097 | + | 1.23301i | 0.387295 | + | 0.921956i | \(0.373409\pi\) |
−0.950392 | + | 0.311054i | \(0.899318\pi\) | |||||||
\(282\) | 28134.5 | + | 195680.i | 0.0210677 | + | 0.146529i | ||||
\(283\) | −707854. | − | 207845.i | −0.525385 | − | 0.154267i | 0.00827549 | − | 0.999966i | \(-0.497366\pi\) |
−0.533661 | + | 0.845699i | \(0.679184\pi\) | |||||||
\(284\) | 845326. | − | 543258.i | 0.621911 | − | 0.399678i | ||||
\(285\) | 8168.02 | + | 17885.5i | 0.00595668 | + | 0.0130433i | ||||
\(286\) | 330476. | − | 97036.5i | 0.238905 | − | 0.0701488i | ||||
\(287\) | −500699. | + | 577838.i | −0.358816 | + | 0.414096i | ||||
\(288\) | 313261. | − | 361522.i | 0.222548 | − | 0.256835i | ||||
\(289\) | 861711. | − | 253021.i | 0.606900 | − | 0.178202i | ||||
\(290\) | 9358.41 | + | 20492.1i | 0.00653442 | + | 0.0143084i | ||||
\(291\) | −814437. | + | 523407.i | −0.563800 | + | 0.362332i | ||||
\(292\) | −794852. | − | 233390.i | −0.545543 | − | 0.160186i | ||||
\(293\) | −470.325 | − | 3271.19i | −0.000320059 | − | 0.00222606i | 0.989661 | − | 0.143428i | \(-0.0458125\pi\) |
−0.989981 | + | 0.141202i | \(0.954903\pi\) | |||||||
\(294\) | 160936. | − | 352400.i | 0.108589 | − | 0.237776i | ||||
\(295\) | 4688.64 | − | 32610.2i | 0.00313683 | − | 0.0218172i | ||||
\(296\) | −875483. | − | 562639.i | −0.580789 | − | 0.373250i | ||||
\(297\) | 48153.7 | + | 55572.3i | 0.0316766 | + | 0.0365567i | ||||
\(298\) | −959170. | −0.625684 | ||||||||
\(299\) | −124314. | + | 2.58915e6i | −0.0804161 | + | 1.67486i | ||||
\(300\) | 584584. | 0.375011 | ||||||||
\(301\) | −689882. | − | 796167.i | −0.438893 | − | 0.506510i | ||||
\(302\) | 958609. | + | 616061.i | 0.604817 | + | 0.388693i | ||||
\(303\) | 1346.96 | − | 9368.31i | 0.000842845 | − | 0.00586212i | ||||
\(304\) | −26500.7 | + | 58028.3i | −0.0164465 | + | 0.0360127i | ||||
\(305\) | −13159.2 | − | 91524.0i | −0.00809988 | − | 0.0563359i | ||||
\(306\) | −187617. | − | 55089.4i | −0.114543 | − | 0.0336329i | ||||
\(307\) | 855456. | − | 549768.i | 0.518026 | − | 0.332915i | −0.255365 | − | 0.966845i | \(-0.582196\pi\) |
0.773391 | + | 0.633930i | \(0.218559\pi\) | |||||||
\(308\) | −54697.6 | − | 119771.i | −0.0328543 | − | 0.0719408i | ||||
\(309\) | 916082. | − | 268986.i | 0.545806 | − | 0.160263i | ||||
\(310\) | −2268.63 | + | 2618.14i | −0.00134079 | + | 0.00154735i | ||||
\(311\) | 57230.8 | − | 66047.9i | 0.0335528 | − | 0.0387220i | −0.738725 | − | 0.674007i | \(-0.764572\pi\) |
0.772278 | + | 0.635285i | \(0.219117\pi\) | |||||||
\(312\) | 1.55782e6 | − | 457418.i | 0.906008 | − | 0.266028i | ||||
\(313\) | 1.22037e6 | + | 2.67225e6i | 0.704097 | + | 1.54176i | 0.834932 | + | 0.550353i | \(0.185507\pi\) |
−0.130835 | + | 0.991404i | \(0.541766\pi\) | |||||||
\(314\) | 1.46895e6 | − | 944038.i | 0.840782 | − | 0.540338i | ||||
\(315\) | −12762.9 | − | 3747.51i | −0.00724722 | − | 0.00212798i | ||||
\(316\) | 24332.7 | + | 169238.i | 0.0137080 | + | 0.0953411i | ||||
\(317\) | 589115. | − | 1.28998e6i | 0.329270 | − | 0.721001i | −0.670512 | − | 0.741899i | \(-0.733925\pi\) |
0.999782 | + | 0.0208984i | \(0.00665264\pi\) | |||||||
\(318\) | 72028.8 | − | 500972.i | 0.0399428 | − | 0.277808i | ||||
\(319\) | −218270. | − | 140274.i | −0.120093 | − | 0.0771792i | ||||
\(320\) | 29668.6 | + | 34239.4i | 0.0161965 | + | 0.0186918i | ||||
\(321\) | −1.02292e6 | −0.554089 | ||||||||
\(322\) | −528927. | + | 50305.3i | −0.284286 | + | 0.0270380i | ||||
\(323\) | 602189. | 0.321164 | ||||||||
\(324\) | 89501.2 | + | 103290.i | 0.0473659 | + | 0.0546632i | ||||
\(325\) | 2.68015e6 | + | 1.72243e6i | 1.40751 | + | 0.904551i | ||||
\(326\) | −158827. | + | 1.10467e6i | −0.0827714 | + | 0.575688i | ||||
\(327\) | −295695. | + | 647481.i | −0.152923 | + | 0.334856i | ||||
\(328\) | 306585. | + | 2.13234e6i | 0.157350 | + | 1.09439i | ||||
\(329\) | 395189. | + | 116038.i | 0.201287 | + | 0.0591031i | ||||
\(330\) | −6688.48 | + | 4298.42i | −0.00338098 | + | 0.00217282i | ||||
\(331\) | −1.14862e6 | − | 2.51513e6i | −0.576244 | − | 1.26180i | −0.943405 | − | 0.331642i | \(-0.892397\pi\) |
0.367161 | − | 0.930157i | \(-0.380330\pi\) | |||||||
\(332\) | 1.44293e6 | − | 423683.i | 0.718456 | − | 0.210958i | ||||
\(333\) | 312650. | − | 360817.i | 0.154507 | − | 0.178310i | ||||
\(334\) | 71700.1 | − | 82746.3i | 0.0351685 | − | 0.0405866i | ||||
\(335\) | 87952.1 | − | 25825.1i | 0.0428188 | − | 0.0125727i | ||||
\(336\) | −17927.9 | − | 39256.5i | −0.00866323 | − | 0.0189698i | ||||
\(337\) | 2.97546e6 | − | 1.91221e6i | 1.42718 | − | 0.917196i | 0.427270 | − | 0.904124i | \(-0.359476\pi\) |
0.999915 | − | 0.0130713i | \(-0.00416084\pi\) | |||||||
\(338\) | 2.15693e6 | + | 633333.i | 1.02694 | + | 0.301537i | ||||
\(339\) | 30775.1 | + | 214046.i | 0.0145446 | + | 0.101160i | ||||
\(340\) | −16380.5 | + | 35868.3i | −0.00768476 | + | 0.0168273i | ||||
\(341\) | 5678.23 | − | 39493.0i | 0.00264440 | − | 0.0183922i | ||||
\(342\) | 189852. | + | 122010.i | 0.0877706 | + | 0.0564067i | ||||
\(343\) | −1.21826e6 | − | 1.40595e6i | −0.559121 | − | 0.645260i | ||||
\(344\) | −2.96824e6 | −1.35239 | ||||||||
\(345\) | −14084.9 | − | 58154.2i | −0.00637096 | − | 0.0263047i | ||||
\(346\) | 1.52779e6 | 0.686076 | ||||||||
\(347\) | −1.25573e6 | − | 1.44919e6i | −0.559852 | − | 0.646103i | 0.403298 | − | 0.915069i | \(-0.367864\pi\) |
−0.963150 | + | 0.268965i | \(0.913318\pi\) | |||||||
\(348\) | −405690. | − | 260721.i | −0.179575 | − | 0.115406i | ||||
\(349\) | −325946. | + | 2.26700e6i | −0.143246 | + | 0.996297i | 0.783710 | + | 0.621127i | \(0.213325\pi\) |
−0.926956 | + | 0.375170i | \(0.877584\pi\) | |||||||
\(350\) | −271274. | + | 594007.i | −0.118369 | + | 0.259192i | ||||
\(351\) | 106002. | + | 737263.i | 0.0459248 | + | 0.319414i | ||||
\(352\) | −571566. | − | 167827.i | −0.245872 | − | 0.0721946i | ||||
\(353\) | 741805. | − | 476729.i | 0.316850 | − | 0.203627i | −0.372543 | − | 0.928015i | \(-0.621514\pi\) |
0.689392 | + | 0.724388i | \(0.257878\pi\) | |||||||
\(354\) | −157084. | − | 343965.i | −0.0666228 | − | 0.145884i | ||||
\(355\) | −121291. | + | 35614.1i | −0.0510806 | + | 0.0149986i | ||||
\(356\) | 1.58096e6 | − | 1.82453e6i | 0.661144 | − | 0.763001i | ||||
\(357\) | −266780. | + | 307881.i | −0.110786 | + | 0.127853i | ||||
\(358\) | 1.31034e6 | − | 384751.i | 0.540352 | − | 0.158662i | ||||
\(359\) | 21171.5 | + | 46359.1i | 0.00866993 | + | 0.0189845i | 0.913917 | − | 0.405900i | \(-0.133042\pi\) |
−0.905248 | + | 0.424885i | \(0.860315\pi\) | |||||||
\(360\) | −31528.7 | + | 20262.2i | −0.0128218 | + | 0.00824008i | ||||
\(361\) | 1.70894e6 | + | 501792.i | 0.690176 | + | 0.202654i | ||||
\(362\) | 114252. | + | 794642.i | 0.0458240 | + | 0.318713i | ||||
\(363\) | −564088. | + | 1.23518e6i | −0.224688 | + | 0.491998i | ||||
\(364\) | 189811. | − | 1.32016e6i | 0.0750876 | − | 0.522245i | ||||
\(365\) | 87671.7 | + | 56343.2i | 0.0344451 | + | 0.0221365i | ||||
\(366\) | −694992. | − | 802064.i | −0.271192 | − | 0.312972i | ||||
\(367\) | −1.77935e6 | −0.689597 | −0.344798 | − | 0.938677i | \(-0.612053\pi\) | ||||
−0.344798 | + | 0.938677i | \(0.612053\pi\) | |||||||
\(368\) | 112668. | − | 158094.i | 0.0433691 | − | 0.0608548i | ||||
\(369\) | −988300. | −0.377853 | ||||||||
\(370\) | 33804.8 | + | 39012.8i | 0.0128373 | + | 0.0148150i | ||||
\(371\) | −887068. | − | 570084.i | −0.334597 | − | 0.215032i | ||||
\(372\) | 10553.9 | − | 73403.9i | 0.00395417 | − | 0.0275018i | ||||
\(373\) | −1.45587e6 | + | 3.18790e6i | −0.541813 | + | 1.18640i | 0.418689 | + | 0.908130i | \(0.362490\pi\) |
−0.960502 | + | 0.278275i | \(0.910238\pi\) | |||||||
\(374\) | 34653.7 | + | 241021.i | 0.0128106 | + | 0.0890998i | ||||
\(375\) | −141281. | − | 41483.9i | −0.0518807 | − | 0.0152336i | ||||
\(376\) | 976252. | − | 627399.i | 0.356117 | − | 0.228862i | ||||
\(377\) | −1.09178e6 | − | 2.39066e6i | −0.395623 | − | 0.866294i | ||||
\(378\) | −146488. | + | 43012.6i | −0.0527316 | + | 0.0154834i | ||||
\(379\) | −292415. | + | 337465.i | −0.104569 | + | 0.120679i | −0.805621 | − | 0.592431i | \(-0.798168\pi\) |
0.701053 | + | 0.713110i | \(0.252714\pi\) | |||||||
\(380\) | 29802.4 | − | 34393.8i | 0.0105875 | − | 0.0122186i | ||||
\(381\) | −852075. | + | 250192.i | −0.300722 | + | 0.0883000i | ||||
\(382\) | −15407.8 | − | 33738.4i | −0.00540235 | − | 0.0118295i | ||||
\(383\) | 696964. | − | 447912.i | 0.242780 | − | 0.156025i | −0.413593 | − | 0.910462i | \(-0.635726\pi\) |
0.656373 | + | 0.754437i | \(0.272090\pi\) | |||||||
\(384\) | −1.13301e6 | − | 332683.i | −0.392109 | − | 0.115134i | ||||
\(385\) | 2357.35 | + | 16395.7i | 0.000810536 | + | 0.00563740i | ||||
\(386\) | −201494. | + | 441211.i | −0.0688327 | + | 0.150723i | ||||
\(387\) | 193793. | − | 1.34786e6i | 0.0657749 | − | 0.457474i | ||||
\(388\) | 1.88506e6 | + | 1.21145e6i | 0.635690 | + | 0.408533i | ||||
\(389\) | 2.97166e6 | + | 3.42948e6i | 0.995693 | + | 1.14909i | 0.988820 | + | 0.149115i | \(0.0476424\pi\) |
0.00687337 | + | 0.999976i | \(0.497812\pi\) | |||||||
\(390\) | −80535.1 | −0.0268117 | ||||||||
\(391\) | −1.79931e6 | − | 347492.i | −0.595202 | − | 0.114948i | ||||
\(392\) | −2.27413e6 | −0.747482 | ||||||||
\(393\) | −1.74110e6 | − | 2.00933e6i | −0.568645 | − | 0.656251i | ||||
\(394\) | 421438. | + | 270842.i | 0.136771 | + | 0.0878973i | ||||
\(395\) | 3061.11 | − | 21290.5i | 0.000987157 | − | 0.00686583i | ||||
\(396\) | 70701.7 | − | 154815.i | 0.0226564 | − | 0.0496107i | ||||
\(397\) | 613680. | + | 4.26824e6i | 0.195419 | + | 1.35917i | 0.817371 | + | 0.576112i | \(0.195431\pi\) |
−0.621952 | + | 0.783055i | \(0.713660\pi\) | |||||||
\(398\) | −655419. | − | 192448.i | −0.207401 | − | 0.0608985i | ||||
\(399\) | 395538. | − | 254197.i | 0.124381 | − | 0.0799351i | ||||
\(400\) | −99118.9 | − | 217040.i | −0.0309747 | − | 0.0678250i | ||||
\(401\) | −4.02530e6 | + | 1.18193e6i | −1.25008 | + | 0.367056i | −0.838793 | − | 0.544451i | \(-0.816738\pi\) |
−0.411285 | + | 0.911507i | \(0.634920\pi\) | |||||||
\(402\) | 688979. | − | 795125.i | 0.212638 | − | 0.245397i | ||||
\(403\) | 264665. | − | 305440.i | 0.0811773 | − | 0.0936835i | ||||
\(404\) | −21019.1 | + | 6171.75i | −0.00640707 | + | 0.00188129i | ||||
\(405\) | −7142.49 | − | 15639.9i | −0.00216377 | − | 0.00473801i | ||||
\(406\) | 453183. | − | 291243.i | 0.136445 | − | 0.0876880i | ||||
\(407\) | −570452. | − | 167500.i | −0.170700 | − | 0.0501220i | ||||
\(408\) | 163353. | + | 1.13615e6i | 0.0485822 | + | 0.337896i | ||||
\(409\) | 553535. | − | 1.21207e6i | 0.163620 | − | 0.358278i | −0.810008 | − | 0.586419i | \(-0.800537\pi\) |
0.973628 | + | 0.228141i | \(0.0732646\pi\) | |||||||
\(410\) | 15207.5 | − | 105771.i | 0.00446786 | − | 0.0310746i | ||||
\(411\) | −2.11975e6 | − | 1.36228e6i | −0.618984 | − | 0.397797i | ||||
\(412\) | −1.44713e6 | − | 1.67008e6i | −0.420016 | − | 0.484724i | ||||
\(413\) | −787812. | −0.227273 | ||||||||
\(414\) | −496861. | − | 474114.i | −0.142474 | − | 0.135951i | ||||
\(415\) | −189187. | −0.0539226 | ||||||||
\(416\) | −3.95147e6 | − | 4.56024e6i | −1.11950 | − | 1.29197i | ||||
\(417\) | −512418. | − | 329311.i | −0.144306 | − | 0.0927399i | ||||
\(418\) | 39995.0 | − | 278171.i | 0.0111960 | − | 0.0778702i | ||||
\(419\) | −708307. | + | 1.55098e6i | −0.197100 | + | 0.431589i | −0.982215 | − | 0.187762i | \(-0.939877\pi\) |
0.785115 | + | 0.619350i | \(0.212604\pi\) | |||||||
\(420\) | 4381.51 | + | 30474.1i | 0.00121199 | + | 0.00842960i | ||||
\(421\) | −1.35530e6 | − | 397953.i | −0.372676 | − | 0.109428i | 0.0900306 | − | 0.995939i | \(-0.471304\pi\) |
−0.462707 | + | 0.886511i | \(0.653122\pi\) | |||||||
\(422\) | 2.78272e6 | − | 1.78835e6i | 0.760657 | − | 0.488844i | ||||
\(423\) | 221160. | + | 484272.i | 0.0600973 | + | 0.131595i | ||||
\(424\) | −2.85065e6 | + | 837027.i | −0.770069 | + | 0.226113i | ||||
\(425\) | −1.47497e6 | + | 1.70220e6i | −0.396104 | + | 0.457129i | ||||
\(426\) | −950138. | + | 1.09652e6i | −0.253666 | + | 0.292747i | ||||
\(427\) | −2.12152e6 | + | 622934.i | −0.563089 | + | 0.165338i | ||||
\(428\) | 983539. | + | 2.15365e6i | 0.259527 | + | 0.568285i | ||||
\(429\) | 780297. | − | 501467.i | 0.204700 | − | 0.131552i | ||||
\(430\) | 141270. | + | 41480.5i | 0.0368449 | + | 0.0108187i | ||||
\(431\) | −1.06172e6 | − | 7.38444e6i | −0.275307 | − | 1.91480i | −0.388906 | − | 0.921277i | \(-0.627147\pi\) |
0.113599 | − | 0.993527i | \(-0.463762\pi\) | |||||||
\(432\) | 23173.4 | − | 50742.6i | 0.00597420 | − | 0.0130817i | ||||
\(433\) | −136609. | + | 950134.i | −0.0350154 | + | 0.243537i | −0.999811 | − | 0.0194653i | \(-0.993804\pi\) |
0.964795 | + | 0.263002i | \(0.0847127\pi\) | |||||||
\(434\) | 69689.7 | + | 44786.8i | 0.0177601 | + | 0.0114137i | ||||
\(435\) | 39728.6 | + | 45849.3i | 0.0100665 | + | 0.0116174i | ||||
\(436\) | 1.64751e6 | 0.415061 | ||||||||
\(437\) | 1.87954e6 | + | 969866.i | 0.470812 | + | 0.242945i | ||||
\(438\) | 1.19615e6 | 0.297920 | ||||||||
\(439\) | −695160. | − | 802257.i | −0.172156 | − | 0.198679i | 0.663114 | − | 0.748518i | \(-0.269234\pi\) |
−0.835271 | + | 0.549839i | \(0.814689\pi\) | |||||||
\(440\) | 39262.1 | + | 25232.2i | 0.00966811 | + | 0.00621332i | ||||
\(441\) | 148476. | − | 1.03267e6i | 0.0363545 | − | 0.252851i | ||||
\(442\) | −1.02463e6 | + | 2.24362e6i | −0.249465 | + | 0.546253i | ||||
\(443\) | 897685. | + | 6.24353e6i | 0.217327 | + | 1.51155i | 0.747846 | + | 0.663872i | \(0.231088\pi\) |
−0.530519 | + | 0.847673i | \(0.678003\pi\) | |||||||
\(444\) | −1.06027e6 | − | 311325.i | −0.255247 | − | 0.0749473i | ||||
\(445\) | −255497. | + | 164198.i | −0.0611627 | + | 0.0393069i | ||||
\(446\) | −1.16451e6 | − | 2.54993e6i | −0.277209 | − | 0.607003i | ||||
\(447\) | −2.47841e6 | + | 727726.i | −0.586683 | + | 0.172266i | ||||
\(448\) | 709453. | − | 818753.i | 0.167005 | − | 0.192734i | ||||
\(449\) | 4.44724e6 | − | 5.13239e6i | 1.04106 | − | 1.20144i | 0.0619543 | − | 0.998079i | \(-0.480267\pi\) |
0.979103 | − | 0.203365i | \(-0.0651878\pi\) | |||||||
\(450\) | −809896. | + | 237807.i | −0.188537 | + | 0.0553596i | ||||
\(451\) | 511257. | + | 1.11950e6i | 0.118358 | + | 0.259168i | ||||
\(452\) | 421060. | − | 270599.i | 0.0969388 | − | 0.0622988i | ||||
\(453\) | 2.94436e6 | + | 864543.i | 0.674134 | + | 0.197943i | ||||
\(454\) | 49633.1 | + | 345206.i | 0.0113014 | + | 0.0786029i | ||||
\(455\) | −69701.4 | + | 152625.i | −0.0157838 | + | 0.0345618i | ||||
\(456\) | 188531. | − | 1.31126e6i | 0.0424592 | − | 0.295310i | ||||
\(457\) | 6.83712e6 | + | 4.39395e6i | 1.53138 | + | 0.984157i | 0.989634 | + | 0.143614i | \(0.0458723\pi\) |
0.541744 | + | 0.840543i | \(0.317764\pi\) | |||||||
\(458\) | 46874.1 | + | 54095.6i | 0.0104417 | + | 0.0120503i | ||||
\(459\) | −526582. | −0.116663 | ||||||||
\(460\) | −108895. | + | 85569.4i | −0.0239945 | + | 0.0188549i | ||||
\(461\) | −4.11756e6 | −0.902376 | −0.451188 | − | 0.892429i | \(-0.649000\pi\) | ||||
−0.451188 | + | 0.892429i | \(0.649000\pi\) | |||||||
\(462\) | 124502. | + | 143683.i | 0.0271376 | + | 0.0313184i | ||||
\(463\) | 6.47954e6 | + | 4.16415e6i | 1.40473 | + | 0.902763i | 0.999932 | − | 0.0116440i | \(-0.00370649\pi\) |
0.404795 | + | 0.914407i | \(0.367343\pi\) | |||||||
\(464\) | −28012.0 | + | 194828.i | −0.00604018 | + | 0.0420104i | ||||
\(465\) | −3875.54 | + | 8486.25i | −0.000831189 | + | 0.00182005i | ||||
\(466\) | 489802. | + | 3.40665e6i | 0.104485 | + | 0.726713i | ||||
\(467\) | −8.37996e6 | − | 2.46058e6i | −1.77807 | − | 0.522090i | −0.783070 | − | 0.621933i | \(-0.786348\pi\) |
−0.995003 | + | 0.0998435i | \(0.968166\pi\) | |||||||
\(468\) | 1.45031e6 | − | 932054.i | 0.306087 | − | 0.196710i | ||||
\(469\) | −910570. | − | 1.99387e6i | −0.191153 | − | 0.418567i | ||||
\(470\) | −55231.3 | + | 16217.4i | −0.0115330 | + | 0.00338638i | ||||
\(471\) | 3.07939e6 | − | 3.55380e6i | 0.639606 | − | 0.738144i | ||||
\(472\) | −1.45360e6 | + | 1.67754e6i | −0.300323 | + | 0.346592i | ||||
\(473\) | −1.62704e6 | + | 477741.i | −0.334383 | + | 0.0981837i | ||||
\(474\) | −102557. | − | 224568.i | −0.0209661 | − | 0.0459094i | ||||
\(475\) | 2.18684e6 | − | 1.40539e6i | 0.444715 | − | 0.285801i | ||||
\(476\) | 904719. | + | 265649.i | 0.183019 | + | 0.0537392i | ||||
\(477\) | −193973. | − | 1.34911e6i | −0.0390342 | − | 0.271489i | ||||
\(478\) | 151227. | − | 331141.i | 0.0302733 | − | 0.0662892i | ||||
\(479\) | −258840. | + | 1.80027e6i | −0.0515457 | + | 0.358508i | 0.947682 | + | 0.319216i | \(0.103420\pi\) |
−0.999228 | + | 0.0392926i | \(0.987490\pi\) | |||||||
\(480\) | 117176. | + | 75304.4i | 0.0232132 | + | 0.0149182i | ||||
\(481\) | −3.94377e6 | − | 4.55135e6i | −0.777228 | − | 0.896969i | ||||
\(482\) | 3.07689e6 | 0.603246 | ||||||||
\(483\) | −1.32853e6 | + | 531283.i | −0.259122 | + | 0.103623i | ||||
\(484\) | 3.14291e6 | 0.609843 | ||||||||
\(485\) | −184601. | − | 213041.i | −0.0356353 | − | 0.0411253i | ||||
\(486\) | −166015. | − | 106691.i | −0.0318828 | − | 0.0204898i | ||||
\(487\) | −382367. | + | 2.65942e6i | −0.0730564 | + | 0.508119i | 0.920133 | + | 0.391606i | \(0.128080\pi\) |
−0.993189 | + | 0.116512i | \(0.962829\pi\) | |||||||
\(488\) | −2.58797e6 | + | 5.66686e6i | −0.491937 | + | 1.07719i | ||||
\(489\) | 427720. | + | 2.97486e6i | 0.0808886 | + | 0.562592i | ||||
\(490\) | 108235. | + | 31780.6i | 0.0203646 | + | 0.00597959i | ||||
\(491\) | 8.95633e6 | − | 5.75588e6i | 1.67659 | − | 1.07748i | 0.792983 | − | 0.609244i | \(-0.208527\pi\) |
0.883605 | − | 0.468234i | \(-0.155109\pi\) | |||||||
\(492\) | 950251. | + | 2.08076e6i | 0.176981 | + | 0.387533i | ||||
\(493\) | 1.78277e6 | − | 523468.i | 0.330353 | − | 0.0970003i | ||||
\(494\) | 1.86419e6 | − | 2.15138e6i | 0.343694 | − | 0.396644i | ||||
\(495\) | −14021.2 | + | 16181.3i | −0.00257200 | + | 0.00296825i | ||||
\(496\) | −29042.3 | + | 8527.60i | −0.00530063 | + | 0.00155641i | ||||
\(497\) | 1.25572e6 | + | 2.74965e6i | 0.228036 | + | 0.499329i | ||||
\(498\) | −1.82672e6 | + | 1.17396e6i | −0.330064 | + | 0.212119i | ||||
\(499\) | 4.19948e6 | + | 1.23308e6i | 0.754995 | + | 0.221687i | 0.636509 | − | 0.771269i | \(-0.280378\pi\) |
0.118486 | + | 0.992956i | \(0.462196\pi\) | |||||||
\(500\) | 48502.0 | + | 337339.i | 0.00867630 | + | 0.0603450i | ||||
\(501\) | 122486. | − | 268208.i | 0.0218019 | − | 0.0477394i | ||||
\(502\) | 869469. | − | 6.04729e6i | 0.153991 | − | 1.07103i | ||||
\(503\) | 7.77439e6 | + | 4.99630e6i | 1.37008 | + | 0.880498i | 0.998845 | − | 0.0480406i | \(-0.0152977\pi\) |
0.371236 | + | 0.928539i | \(0.378934\pi\) | |||||||
\(504\) | 586886. | + | 677303.i | 0.102915 | + | 0.118770i | ||||
\(505\) | 2755.87 | 0.000480873 | ||||||||
\(506\) | −280021. | + | 808082.i | −0.0486199 | + | 0.140307i | ||||
\(507\) | 6.05382e6 | 1.04595 | ||||||||
\(508\) | 1.34602e6 | + | 1.55339e6i | 0.231416 | + | 0.267068i | ||||
\(509\) | −3.11654e6 | − | 2.00288e6i | −0.533186 | − | 0.342658i | 0.246183 | − | 0.969223i | \(-0.420824\pi\) |
−0.779369 | + | 0.626565i | \(0.784460\pi\) | |||||||
\(510\) | 8102.82 | − | 56356.3i | 0.00137946 | − | 0.00959439i | ||||
\(511\) | 1.03524e6 | − | 2.26686e6i | 0.175384 | − | 0.384036i | ||||
\(512\) | 125842. | + | 875249.i | 0.0212154 | + | 0.147556i | ||||
\(513\) | 583128. | + | 171222.i | 0.0978297 | + | 0.0287254i | ||||
\(514\) | 3.10766e6 | − | 1.99717e6i | 0.518831 | − | 0.333432i | ||||
\(515\) | 115486. | + | 252879.i | 0.0191872 | + | 0.0420141i | ||||
\(516\) | −3.02410e6 | + | 887956.i | −0.500002 | + | 0.146814i | ||||
\(517\) | 434151. | − | 501037.i | 0.0714355 | − | 0.0824410i | ||||
\(518\) | 808360. | − | 932897.i | 0.132367 | − | 0.152760i | ||||
\(519\) | 3.94766e6 | − | 1.15914e6i | 0.643311 | − | 0.188893i | ||||
\(520\) | 196387. | + | 430028.i | 0.0318497 | + | 0.0697411i | ||||
\(521\) | 6.75456e6 | − | 4.34089e6i | 1.09019 | − | 0.700624i | 0.133302 | − | 0.991075i | \(-0.457442\pi\) |
0.956890 | + | 0.290452i | \(0.0938056\pi\) | |||||||
\(522\) | 668112. | + | 196175.i | 0.107318 | + | 0.0315115i | ||||
\(523\) | −1.39261e6 | − | 9.68582e6i | −0.222626 | − | 1.54840i | −0.728049 | − | 0.685525i | \(-0.759573\pi\) |
0.505424 | − | 0.862871i | \(-0.331336\pi\) | |||||||
\(524\) | −2.55637e6 | + | 5.59766e6i | −0.406719 | + | 0.890591i | ||||
\(525\) | −250271. | + | 1.74068e6i | −0.0396290 | + | 0.275626i | ||||
\(526\) | −5.67109e6 | − | 3.64459e6i | −0.893722 | − | 0.574360i | ||||
\(527\) | 187110. | + | 215937.i | 0.0293475 | + | 0.0338688i | ||||
\(528\) | −69466.4 | −0.0108440 | ||||||||
\(529\) | −5.05631e6 | − | 3.98249e6i | −0.785587 | − | 0.618751i | ||||
\(530\) | 147371. | 0.0227888 | ||||||||
\(531\) | −666857. | − | 769594.i | −0.102635 | − | 0.118447i | ||||
\(532\) | −915493. | − | 588352.i | −0.140241 | − | 0.0901276i | ||||
\(533\) | −1.77416e6 | + | 1.23395e7i | −0.270504 | + | 1.88140i | ||||
\(534\) | −1.44809e6 | + | 3.17087e6i | −0.219756 | + | 0.481199i | ||||
\(535\) | −42388.4 | − | 294818.i | −0.00640270 | − | 0.0445317i | ||||
\(536\) | −5.92578e6 | − | 1.73996e6i | −0.890909 | − | 0.261594i | ||||
\(537\) | 3.09389e6 | − | 1.98832e6i | 0.462987 | − | 0.297544i | ||||
\(538\) | 1.36741e6 | + | 2.99422e6i | 0.203678 | + | 0.445993i | ||||
\(539\) | −1.24656e6 | + | 366024.i | −0.184817 | + | 0.0542673i | ||||
\(540\) | −26060.5 | + | 30075.5i | −0.00384591 | + | 0.00443842i | ||||
\(541\) | −1.17929e6 | + | 1.36098e6i | −0.173232 | + | 0.199921i | −0.835726 | − | 0.549147i | \(-0.814953\pi\) |
0.662494 | + | 0.749068i | \(0.269498\pi\) | |||||||
\(542\) | −901750. | + | 264778.i | −0.131852 | + | 0.0387153i | ||||
\(543\) | 898115. | + | 1.96660e6i | 0.130717 | + | 0.286230i | ||||
\(544\) | 3.58870e6 | − | 2.30632e6i | 0.519924 | − | 0.334135i | ||||
\(545\) | −198865. | − | 58392.0i | −0.0286792 | − | 0.00842097i | ||||
\(546\) | 274070. | + | 1.90620e6i | 0.0393442 | + | 0.273645i | ||||
\(547\) | −3.30228e6 | + | 7.23099e6i | −0.471896 | + | 1.03331i | 0.512717 | + | 0.858558i | \(0.328639\pi\) |
−0.984613 | + | 0.174750i | \(0.944088\pi\) | |||||||
\(548\) | −829993. | + | 5.77273e6i | −0.118065 | + | 0.821163i | ||||
\(549\) | −2.40432e6 | − | 1.54516e6i | −0.340457 | − | 0.218798i | ||||
\(550\) | 688342. | + | 794389.i | 0.0970280 | + | 0.111976i | ||||
\(551\) | −2.14442e6 | −0.300906 | ||||||||
\(552\) | −1.31998e6 | + | 3.80920e6i | −0.184383 | + | 0.532091i | ||||
\(553\) | −514346. | −0.0715224 | ||||||||
\(554\) | −1.34761e6 | − | 1.55523e6i | −0.186548 | − | 0.215288i | ||||
\(555\) | 116948. | + | 75157.6i | 0.0161161 | + | 0.0103572i | ||||
\(556\) | −200639. | + | 1.39547e6i | −0.0275251 | + | 0.191441i | ||||
\(557\) | 4.03607e6 | − | 8.83775e6i | 0.551214 | − | 1.20699i | −0.404999 | − | 0.914317i | \(-0.632728\pi\) |
0.956213 | − | 0.292673i | \(-0.0945447\pi\) | |||||||
\(558\) | 15238.9 | + | 105989.i | 0.00207189 | + | 0.0144103i | ||||
\(559\) | −1.64809e7 | − | 4.83924e6i | −2.23076 | − | 0.655010i | ||||
\(560\) | 10571.3 | − | 6793.75i | 0.00142448 | − | 0.000915460i | ||||
\(561\) | 272406. | + | 596485.i | 0.0365434 | + | 0.0800189i | ||||
\(562\) | −5.75329e6 | + | 1.68932e6i | −0.768379 | + | 0.225616i | ||||
\(563\) | 1.14361e6 | − | 1.31979e6i | 0.152057 | − | 0.175483i | −0.674611 | − | 0.738174i | \(-0.735688\pi\) |
0.826667 | + | 0.562691i | \(0.190234\pi\) | |||||||
\(564\) | 806938. | − | 931256.i | 0.106817 | − | 0.123274i | ||||
\(565\) | −60415.2 | + | 17739.5i | −0.00796205 | + | 0.00233787i | ||||
\(566\) | −1.02422e6 | − | 2.24272e6i | −0.134385 | − | 0.294262i | ||||
\(567\) | −345876. | + | 222281.i | −0.0451818 | + | 0.0290366i | ||||
\(568\) | 8.17195e6 | + | 2.39950e6i | 1.06281 | + | 0.312069i | ||||
\(569\) | 821332. | + | 5.71249e6i | 0.106350 | + | 0.739681i | 0.971306 | + | 0.237833i | \(0.0764372\pi\) |
−0.864956 | + | 0.501848i | \(0.832654\pi\) | |||||||
\(570\) | −27297.6 | + | 59773.4i | −0.00351915 | + | 0.00770585i | ||||
\(571\) | 319562. | − | 2.22261e6i | 0.0410172 | − | 0.285281i | −0.958981 | − | 0.283470i | \(-0.908514\pi\) |
0.999998 | − | 0.00181092i | \(-0.000576433\pi\) | |||||||
\(572\) | −1.80604e6 | − | 1.16067e6i | −0.230801 | − | 0.148327i | ||||
\(573\) | −65409.7 | − | 75486.9i | −0.00832254 | − | 0.00960472i | ||||
\(574\) | −2.55526e6 | −0.323710 | ||||||||
\(575\) | −7.34513e6 | + | 2.93734e6i | −0.926467 | + | 0.370497i | ||||
\(576\) | 1.40035e6 | 0.175865 | ||||||||
\(577\) | −2.70556e6 | − | 3.12238e6i | −0.338312 | − | 0.390432i | 0.560946 | − | 0.827853i | \(-0.310438\pi\) |
−0.899257 | + | 0.437420i | \(0.855892\pi\) | |||||||
\(578\) | 2.52496e6 | + | 1.62269e6i | 0.314365 | + | 0.202030i | ||||
\(579\) | −185894. | + | 1.29292e6i | −0.0230446 | + | 0.160279i | ||||
\(580\) | 58331.6 | − | 127728.i | 0.00720003 | − | 0.0157659i | ||||
\(581\) | 643825. | + | 4.47790e6i | 0.0791275 | + | 0.550344i | ||||
\(582\) | −3.10442e6 | − | 911539.i | −0.379903 | − | 0.111550i | ||||
\(583\) | −1.42786e6 | + | 917630.i | −0.173986 | + | 0.111814i | ||||
\(584\) | −2.91685e6 | − | 6.38700e6i | −0.353901 | − | 0.774934i | ||||
\(585\) | −208095. | + | 61102.2i | −0.0251404 | + | 0.00738189i | ||||
\(586\) | 7232.77 | − | 8347.06i | 0.000870083 | − | 0.00100413i | ||||
\(587\) | 473240. | − | 546148.i | 0.0566874 | − | 0.0654207i | −0.726698 | − | 0.686957i | \(-0.758946\pi\) |
0.783385 | + | 0.621537i | \(0.213491\pi\) | |||||||
\(588\) | −2.31693e6 | + | 680313.i | −0.276357 | + | 0.0811457i | ||||
\(589\) | −136989. | − | 299965.i | −0.0162704 | − | 0.0356273i | ||||
\(590\) | 92625.5 | − | 59526.8i | 0.0109547 | − | 0.00704016i | ||||
\(591\) | 1.29445e6 | + | 380083.i | 0.152446 | + | 0.0447621i | ||||
\(592\) | 64188.1 | + | 446438.i | 0.00752749 | + | 0.0523548i | ||||
\(593\) | 5.19979e6 | − | 1.13859e7i | 0.607224 | − | 1.32964i | −0.317232 | − | 0.948348i | \(-0.602754\pi\) |
0.924457 | − | 0.381287i | \(-0.124519\pi\) | |||||||
\(594\) | −34973.4 | + | 243246.i | −0.00406698 | + | 0.0282865i | ||||
\(595\) | −99789.9 | − | 64131.1i | −0.0115556 | − | 0.00742636i | ||||
\(596\) | 3.91513e6 | + | 4.51831e6i | 0.451472 | + | 0.521027i | ||||
\(597\) | −1.83955e6 | −0.211240 | ||||||||
\(598\) | −6.81154e6 | + | 5.35250e6i | −0.778919 | + | 0.612074i | ||||
\(599\) | 3.90106e6 | 0.444238 | 0.222119 | − | 0.975020i | \(-0.428703\pi\) | ||||
0.222119 | + | 0.975020i | \(0.428703\pi\) | |||||||
\(600\) | 3.24476e6 | + | 3.74465e6i | 0.367963 | + | 0.424652i | ||||
\(601\) | −4.08525e6 | − | 2.62543e6i | −0.461352 | − | 0.296493i | 0.289243 | − | 0.957256i | \(-0.406596\pi\) |
−0.750595 | + | 0.660763i | \(0.770233\pi\) | |||||||
\(602\) | 501053. | − | 3.48490e6i | 0.0563498 | − | 0.391922i | ||||
\(603\) | 1.17699e6 | − | 2.57726e6i | 0.131820 | − | 0.288645i | ||||
\(604\) | −1.01080e6 | − | 7.03030e6i | −0.112739 | − | 0.784118i | ||||
\(605\) | −379368. | − | 111393.i | −0.0421379 | − | 0.0123728i | ||||
\(606\) | 26609.6 | − | 17101.0i | 0.00294345 | − | 0.00189164i | ||||
\(607\) | −3.92508e6 | − | 8.59473e6i | −0.432392 | − | 0.946805i | −0.992933 | − | 0.118679i | \(-0.962134\pi\) |
0.560541 | − | 0.828127i | \(-0.310593\pi\) | |||||||
\(608\) | −4.72398e6 | + | 1.38709e6i | −0.518262 | + | 0.152175i | ||||
\(609\) | 950015. | − | 1.09638e6i | 0.103798 | − | 0.119789i | ||||
\(610\) | 202365. | − | 233541.i | 0.0220196 | − | 0.0254120i | ||||
\(611\) | 6.44345e6 | − | 1.89197e6i | 0.698257 | − | 0.205027i | ||||
\(612\) | 506309. | + | 1.10866e6i | 0.0546433 | + | 0.119652i | ||||
\(613\) | 6.65938e6 | − | 4.27973e6i | 0.715785 | − | 0.460007i | −0.131383 | − | 0.991332i | \(-0.541942\pi\) |
0.847168 | + | 0.531324i | \(0.178305\pi\) | |||||||
\(614\) | 3.26077e6 | + | 957448.i | 0.349059 | + | 0.102493i | ||||
\(615\) | −40953.8 | − | 284840.i | −0.00436623 | − | 0.0303678i | ||||
\(616\) | 463613. | − | 1.01517e6i | 0.0492270 | − | 0.107792i | ||||
\(617\) | 1.25222e6 | − | 8.70940e6i | 0.132425 | − | 0.921033i | −0.809956 | − | 0.586491i | \(-0.800509\pi\) |
0.942381 | − | 0.334543i | \(-0.108582\pi\) | |||||||
\(618\) | 2.68428e6 | + | 1.72508e6i | 0.282720 | + | 0.181693i | ||||
\(619\) | −1.15794e7 | − | 1.33634e7i | −1.21468 | − | 1.40181i | −0.889985 | − | 0.455990i | \(-0.849285\pi\) |
−0.324690 | − | 0.945820i | \(-0.605260\pi\) | |||||||
\(620\) | 21593.2 | 0.00225599 | ||||||||
\(621\) | −1.64355e6 | − | 848095.i | −0.171023 | − | 0.0882502i | ||||
\(622\) | 292071. | 0.0302700 | ||||||||
\(623\) | 4.75593e6 | + | 5.48863e6i | 0.490925 | + | 0.566558i | ||||
\(624\) | −591953. | − | 380425.i | −0.0608591 | − | 0.0391118i | ||||
\(625\) | −1.38064e6 | + | 9.60254e6i | −0.141377 | + | 0.983301i | ||||
\(626\) | −4.07850e6 | + | 8.93068e6i | −0.415973 | + | 0.910854i | ||||
\(627\) | −107706. | − | 749112.i | −0.0109414 | − | 0.0760988i | ||||
\(628\) | −1.04430e7 | − | 3.06634e6i | −1.05664 | − | 0.310256i | ||||
\(629\) | 3.58170e6 | − | 2.30182e6i | 0.360963 | − | 0.231977i | ||||
\(630\) | −18467.0 | − | 40437.1i | −0.00185372 | − | 0.00405909i | ||||
\(631\) | −5.82908e6 | + | 1.71157e6i | −0.582810 | + | 0.171128i | −0.559830 | − | 0.828608i | \(-0.689134\pi\) |
−0.0229797 | + | 0.999736i | \(0.507315\pi\) | |||||||
\(632\) | −949022. | + | 1.09523e6i | −0.0945113 | + | 0.109072i | ||||
\(633\) | 5.83347e6 | − | 6.73218e6i | 0.578652 | − | 0.667800i | ||||
\(634\) | 4.54745e6 | − | 1.33525e6i | 0.449308 | − | 0.131929i | ||||
\(635\) | −107417. | − | 235210.i | −0.0105715 | − | 0.0231485i | ||||
\(636\) | −2.65390e6 | + | 1.70556e6i | −0.260161 | + | 0.167195i | ||||
\(637\) | −1.26270e7 | − | 3.70762e6i | −1.23297 | − | 0.362031i | ||||
\(638\) | −123403. | − | 858287.i | −0.0120026 | − | 0.0834797i | ||||
\(639\) | −1.62314e6 | + | 3.55417e6i | −0.157254 | + | 0.344339i | ||||
\(640\) | 48932.6 | − | 340334.i | 0.00472224 | − | 0.0328439i | ||||
\(641\) | 1.55140e6 | + | 997024.i | 0.149135 | + | 0.0958430i | 0.613080 | − | 0.790021i | \(-0.289930\pi\) |
−0.463945 | + | 0.885864i | \(0.653567\pi\) | |||||||
\(642\) | −2.23872e6 | − | 2.58362e6i | −0.214369 | − | 0.247395i | ||||
\(643\) | 1.12056e7 | 1.06883 | 0.534416 | − | 0.845222i | \(-0.320532\pi\) | ||||
0.534416 | + | 0.845222i | \(0.320532\pi\) | |||||||
\(644\) | 2.39594e6 | + | 2.28625e6i | 0.227647 | + | 0.217224i | ||||
\(645\) | 396499. | 0.0375269 | ||||||||
\(646\) | 1.31792e6 | + | 1.52096e6i | 0.124253 | + | 0.143396i | ||||
\(647\) | −5.91366e6 | − | 3.80048e6i | −0.555387 | − | 0.356926i | 0.232643 | − | 0.972562i | \(-0.425263\pi\) |
−0.788030 | + | 0.615636i | \(0.788899\pi\) | |||||||
\(648\) | −164860. | + | 1.14663e6i | −0.0154234 | + | 0.107272i | ||||
\(649\) | −526786. | + | 1.15350e6i | −0.0490933 | + | 0.107499i | ||||
\(650\) | 1.51527e6 | + | 1.05389e7i | 0.140672 | + | 0.978393i | ||||
\(651\) | 214052. | + | 62851.2i | 0.0197955 | + | 0.00581248i | ||||
\(652\) | 5.85199e6 | − | 3.76084e6i | 0.539119 | − | 0.346470i | ||||
\(653\) | 2.52057e6 | + | 5.51928e6i | 0.231321 | + | 0.506523i | 0.989325 | − | 0.145727i | \(-0.0465522\pi\) |
−0.758003 | + | 0.652251i | \(0.773825\pi\) | |||||||
\(654\) | −2.28250e6 | + | 670203.i | −0.208673 | + | 0.0612719i | ||||
\(655\) | 506964. | − | 585068.i | 0.0461715 | − | 0.0532848i | ||||
\(656\) | 611410. | − | 705605.i | 0.0554719 | − | 0.0640180i | ||||
\(657\) | 3.09074e6 | − | 907522.i | 0.279350 | − | 0.0820245i | ||||
\(658\) | 571811. | + | 1.25209e6i | 0.0514858 | + | 0.112738i | ||||
\(659\) | 1.93347e6 | − | 1.24256e6i | 0.173430 | − | 0.111457i | −0.451046 | − | 0.892501i | \(-0.648949\pi\) |
0.624476 | + | 0.781044i | \(0.285313\pi\) | |||||||
\(660\) | 47549.3 | + | 13961.7i | 0.00424898 | + | 0.00124761i | ||||
\(661\) | 2.31223e6 | + | 1.60819e7i | 0.205839 | + | 1.43164i | 0.786548 | + | 0.617529i | \(0.211866\pi\) |
−0.580710 | + | 0.814111i | \(0.697225\pi\) | |||||||
\(662\) | 3.83870e6 | − | 8.40558e6i | 0.340439 | − | 0.745458i | ||||
\(663\) | −945298. | + | 6.57469e6i | −0.0835190 | + | 0.580887i | ||||
\(664\) | 1.07230e7 | + | 6.89127e6i | 0.943837 | + | 0.606567i | ||||
\(665\) | 89653.0 | + | 103465.i | 0.00786160 | + | 0.00907277i | ||||
\(666\) | 1.59557e6 | 0.139390 | ||||||||
\(667\) | 6.40742e6 | + | 1.23743e6i | 0.557659 | + | 0.107698i | ||||
\(668\) | −682453. | −0.0591741 | ||||||||
\(669\) | −4.94363e6 | − | 5.70526e6i | −0.427052 | − | 0.492845i | ||||
\(670\) | 257715. | + | 165623.i | 0.0221795 | + | 0.0142539i | ||||
\(671\) | −506505. | + | 3.52282e6i | −0.0434288 | + | 0.302054i | ||||
\(672\) | 1.38363e6 | − | 3.02973e6i | 0.118194 | − | 0.258810i | ||||
\(673\) | 2.81741e6 | + | 1.95955e7i | 0.239780 | + | 1.66770i | 0.653216 | + | 0.757172i | \(0.273419\pi\) |
−0.413436 | + | 0.910533i | \(0.635672\pi\) | |||||||
\(674\) | 1.13417e7 | + | 3.33022e6i | 0.961673 | + | 0.282373i | ||||
\(675\) | −1.91227e6 | + | 1.22894e6i | −0.161544 | + | 0.103818i | ||||
\(676\) | −5.82075e6 | − | 1.27457e7i | −0.489906 | − | 1.07274i | ||||
\(677\) | −1.55402e7 | + | 4.56300e6i | −1.30312 | + | 0.382630i | −0.858372 | − | 0.513027i | \(-0.828524\pi\) |
−0.444745 | + | 0.895657i | \(0.646706\pi\) | |||||||
\(678\) | −473267. | + | 546179.i | −0.0395396 | + | 0.0456311i | ||||
\(679\) | −4.41429e6 | + | 5.09436e6i | −0.367440 | + | 0.424048i | ||||
\(680\) | −320681. | + | 94160.6i | −0.0265951 | + | 0.00780902i | ||||
\(681\) | 390156. | + | 854323.i | 0.0322382 | + | 0.0705918i | ||||
\(682\) | 112175. | − | 72090.7i | 0.00923499 | − | 0.00593497i | ||||
\(683\) | 9.10188e6 | + | 2.67255e6i | 0.746585 | + | 0.219217i | 0.632829 | − | 0.774291i | \(-0.281894\pi\) |
0.113756 | + | 0.993509i | \(0.463712\pi\) | |||||||
\(684\) | −200189. | − | 1.39234e6i | −0.0163606 | − | 0.113790i | ||||
\(685\) | 304785. | − | 667387.i | 0.0248180 | − | 0.0543439i | ||||
\(686\) | 884809. | − | 6.15398e6i | 0.0717859 | − | 0.499282i | ||||
\(687\) | 162161. | + | 104214.i | 0.0131085 | + | 0.00842434i | ||||
\(688\) | 842424. | + | 972209.i | 0.0678516 | + | 0.0783049i | ||||
\(689\) | −1.71927e7 | −1.37974 | ||||||||
\(690\) | 116056. | − | 162848.i | 0.00927993 | − | 0.0130214i | ||||
\(691\) | 6.11417e6 | 0.487127 | 0.243564 | − | 0.969885i | \(-0.421683\pi\) | ||||
0.243564 | + | 0.969885i | \(0.421683\pi\) | |||||||
\(692\) | −6.23611e6 | − | 7.19685e6i | −0.495049 | − | 0.571317i | ||||
\(693\) | 430714. | + | 276803.i | 0.0340687 | + | 0.0218946i | ||||
\(694\) | 912022. | − | 6.34325e6i | 0.0718798 | − | 0.499935i | ||||
\(695\) | 73677.5 | − | 161331.i | 0.00578593 | − | 0.0126694i | ||||
\(696\) | −581707. | − | 4.04586e6i | −0.0455178 | − | 0.316583i | ||||
\(697\) | −8.45637e6 | − | 2.48302e6i | −0.659329 | − | 0.193596i | ||||
\(698\) | −6.43917e6 | + | 4.13820e6i | −0.500255 | + | 0.321494i | ||||
\(699\) | 3.85024e6 | + | 8.43085e6i | 0.298054 | + | 0.652647i | ||||
\(700\) | 3.90544e6 | − | 1.14674e6i | 0.301248 | − | 0.0884545i | ||||
\(701\) | 7.81131e6 | − | 9.01473e6i | 0.600383 | − | 0.692879i | −0.371476 | − | 0.928443i | \(-0.621148\pi\) |
0.971859 | + | 0.235563i | \(0.0756935\pi\) | |||||||
\(702\) | −1.63013e6 | + | 1.88127e6i | −0.124847 | + | 0.144081i | ||||
\(703\) | −4.71477e6 | + | 1.38438e6i | −0.359809 | + | 0.105650i | ||||
\(704\) | −724413. | − | 1.58624e6i | −0.0550877 | − | 0.120625i | ||||
\(705\) | −130408. | + | 83808.4i | −0.00988173 | + | 0.00635060i | ||||
\(706\) | 2.82756e6 | + | 830248.i | 0.213501 | + | 0.0626897i | ||||
\(707\) | −9378.55 | − | 65229.3i | −0.000705646 | − | 0.00490788i | ||||
\(708\) | −979114. | + | 2.14396e6i | −0.0734091 | + | 0.160744i | ||||
\(709\) | 700585. | − | 4.87268e6i | 0.0523414 | − | 0.364042i | −0.946771 | − | 0.321909i | \(-0.895675\pi\) |
0.999112 | − | 0.0421334i | \(-0.0134154\pi\) | |||||||
\(710\) | −355402. | − | 228403.i | −0.0264590 | − | 0.0170042i | ||||
\(711\) | −435377. | − | 502452.i | −0.0322992 | − | 0.0372752i | ||||
\(712\) | 2.04625e7 | 1.51272 | ||||||||
\(713\) | 236223. | + | 975330.i | 0.0174020 | + | 0.0718502i | ||||
\(714\) | −1.36148e6 | −0.0999463 | ||||||||
\(715\) | 176863. | + | 204111.i | 0.0129381 | + | 0.0149314i | ||||
\(716\) | −7.16096e6 | − | 4.60207e6i | −0.522022 | − | 0.335483i | ||||
\(717\) | 139519. | − | 970373.i | 0.0101352 | − | 0.0704921i | ||||
\(718\) | −70755.3 | + | 154933.i | −0.00512210 | + | 0.0112158i | ||||
\(719\) | 2.75150e6 | + | 1.91371e7i | 0.198494 | + | 1.38056i | 0.808657 | + | 0.588280i | \(0.200195\pi\) |
−0.610163 | + | 0.792276i | \(0.708896\pi\) | |||||||
\(720\) | 15584.9 | + | 4576.14i | 0.00112040 | + | 0.000328979i | ||||
\(721\) | 5.59244e6 | − | 3.59404e6i | 0.400648 | − | 0.257481i | ||||
\(722\) | 2.47273e6 | + | 5.41452e6i | 0.176536 | + | 0.386560i | ||||
\(723\) | 7.95039e6 | − | 2.33445e6i | 0.565644 | − | 0.166088i | ||||
\(724\) | 3.27692e6 | − | 3.78177e6i | 0.232337 | − | 0.268132i | ||||
\(725\) | 5.25241e6 | − | 6.06160e6i | 0.371119 | − | 0.428294i | ||||
\(726\) | −4.35426e6 | + | 1.27853e6i | −0.306600 | + | 0.0900259i | ||||
\(727\) | 9.92335e6 | + | 2.17291e7i | 0.696342 | + | 1.52478i | 0.844352 | + | 0.535790i | \(0.179986\pi\) |
−0.148010 | + | 0.988986i | \(0.547287\pi\) | |||||||
\(728\) | 9.51009e6 | − | 6.11177e6i | 0.665053 | − | 0.427404i | ||||
\(729\) | −509914. | − | 149724.i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 49566.7 | + | 344744.i | 0.00344257 | + | 0.0239436i | ||||
\(731\) | 5.04456e6 | − | 1.10460e7i | 0.349164 | − | 0.764562i | ||||
\(732\) | −941419. | + | 6.54772e6i | −0.0649390 | + | 0.451660i | ||||
\(733\) | 1.76808e7 | + | 1.13628e7i | 1.21547 | + | 0.781133i | 0.981565 | − | 0.191127i | \(-0.0612143\pi\) |
0.233902 | + | 0.972260i | \(0.424851\pi\) | |||||||
\(734\) | −3.89419e6 | − | 4.49413e6i | −0.266794 | − | 0.307897i | ||||
\(735\) | 303780. | 0.0207416 | ||||||||
\(736\) | 1.49154e7 | − | 1.41858e6i | 1.01494 | − | 0.0965293i | ||||
\(737\) | −3.52826e6 | −0.239272 | ||||||||
\(738\) | −2.16295e6 | − | 2.49617e6i | −0.146186 | − | 0.168707i | ||||
\(739\) | −754677. | − | 485002.i | −0.0508335 | − | 0.0326687i | 0.514977 | − | 0.857204i | \(-0.327800\pi\) |
−0.565811 | + | 0.824535i | \(0.691437\pi\) | |||||||
\(740\) | 45791.1 | − | 318484.i | 0.00307399 | − | 0.0213801i | ||||
\(741\) | 3.18462e6 | − | 6.97334e6i | 0.213065 | − | 0.466547i | ||||
\(742\) | −501519. | − | 3.48814e6i | −0.0334409 | − | 0.232587i | ||||
\(743\) | 1.54019e7 | + | 4.52240e6i | 1.02353 | + | 0.300536i | 0.750078 | − | 0.661349i | \(-0.230016\pi\) |
0.273454 | + | 0.961885i | \(0.411834\pi\) | |||||||
\(744\) | 528781. | − | 339827.i | 0.0350222 | − | 0.0225074i | ||||
\(745\) | −312441. | − | 684150.i | −0.0206242 | − | 0.0451607i | ||||
\(746\) | −1.12380e7 | + | 3.29977e6i | −0.739335 | + | 0.217088i | ||||
\(747\) | −3.82938e6 | + | 4.41933e6i | −0.251088 | + | 0.289771i | ||||
\(748\) | 993916. | − | 1.14704e6i | 0.0649525 | − | 0.0749592i | ||||
\(749\) | −6.83385e6 | + | 2.00660e6i | −0.445104 | + | 0.130694i | ||||
\(750\) | −204424. | − | 447626.i | −0.0132702 | − | 0.0290578i | ||||
\(751\) | 4.94317e6 | − | 3.17678e6i | 0.319820 | − | 0.205536i | −0.370873 | − | 0.928683i | \(-0.620942\pi\) |
0.690694 | + | 0.723147i | \(0.257305\pi\) | |||||||
\(752\) | −482570. | − | 141695.i | −0.0311183 | − | 0.00913715i | ||||
\(753\) | −2.34147e6 | − | 1.62853e7i | −0.150488 | − | 1.04667i | ||||
\(754\) | 3.64874e6 | − | 7.98962e6i | 0.233730 | − | 0.511797i | ||||
\(755\) | −127161. | + | 884426.i | −0.00811872 | + | 0.0564669i | ||||
\(756\) | 800549. | + | 514482.i | 0.0509429 | + | 0.0327390i | ||||
\(757\) | 6.90199e6 | + | 7.96532e6i | 0.437758 | + | 0.505200i | 0.931165 | − | 0.364599i | \(-0.118794\pi\) |
−0.493406 | + | 0.869799i | \(0.664248\pi\) | |||||||
\(758\) | −1.49231e6 | −0.0943378 | ||||||||
\(759\) | −110453. | + | 2.30046e6i | −0.00695944 | + | 0.144947i | ||||
\(760\) | 385734. | 0.0242245 | ||||||||
\(761\) | −1.33759e7 | − | 1.54367e7i | −0.837265 | − | 0.966255i | 0.162526 | − | 0.986704i | \(-0.448036\pi\) |
−0.999791 | + | 0.0204490i | \(0.993490\pi\) | |||||||
\(762\) | −2.49672e6 | − | 1.60455e6i | −0.155770 | − | 0.100107i | ||||
\(763\) | −705331. | + | 4.90568e6i | −0.0438613 | + | 0.305062i | ||||
\(764\) | −96037.9 | + | 210294.i | −0.00595264 | + | 0.0130345i | ||||
\(765\) | −21820.8 | − | 151767.i | −0.00134809 | − | 0.00937614i | ||||
\(766\) | 2.65664e6 | + | 780060.i | 0.163592 | + | 0.0480348i | ||||
\(767\) | −1.08060e7 | + | 6.94457e6i | −0.663247 | + | 0.426243i | ||||
\(768\) | −3.70775e6 | − | 8.11884e6i | −0.226834 | − | 0.496696i | ||||
\(769\) | −6.07850e6 | + | 1.78481e6i | −0.370664 | + | 0.108837i | −0.461759 | − | 0.887005i | \(-0.652781\pi\) |
0.0910950 | + | 0.995842i | \(0.470963\pi\) | |||||||
\(770\) | −36251.9 | + | 41836.9i | −0.00220345 | + | 0.00254292i | ||||
\(771\) | 6.51464e6 | − | 7.51830e6i | 0.394688 | − | 0.455495i | ||||
\(772\) | 2.90085e6 | − | 851765.i | 0.175179 | − | 0.0514371i | ||||
\(773\) | −1.17257e7 | − | 2.56756e7i | −0.705812 | − | 1.54551i | −0.832779 | − | 0.553605i | \(-0.813252\pi\) |
0.126968 | − | 0.991907i | \(-0.459475\pi\) | |||||||
\(774\) | 3.82844e6 | − | 2.46039e6i | 0.229704 | − | 0.147622i | ||||
\(775\) | 1.18344e6 | + | 347490.i | 0.0707770 | + | 0.0207820i | ||||
\(776\) | 2.70293e6 | + | 1.87993e7i | 0.161131 | + | 1.12069i | ||||
\(777\) | 1.38093e6 | − | 3.02382e6i | 0.0820579 | − | 0.179682i | ||||
\(778\) | −2.15828e6 | + | 1.50112e7i | −0.127838 | + | 0.889132i | ||||
\(779\) | 8.55708e6 | + | 5.49930e6i | 0.505222 | + | 0.324686i | ||||
\(780\) | 328728. | + | 379372.i | 0.0193464 | + | 0.0223269i | ||||
\(781\) | 4.86565e6 | 0.285439 | ||||||||
\(782\) | −3.06022e6 | − | 5.30506e6i | −0.178951 | − | 0.310223i | ||||
\(783\) | 1.87518e6 | 0.109305 | ||||||||
\(784\) | 645429. | + | 744865.i | 0.0375023 | + | 0.0432800i | ||||
\(785\) | 1.15185e6 | + | 740251.i | 0.0667149 | + | 0.0428751i | ||||
\(786\) | 1.26454e6 | − | 8.79505e6i | 0.0730088 | − | 0.507787i | ||||
\(787\) | −107164. | + | 234656.i | −0.00616754 | + | 0.0135050i | −0.912691 | − | 0.408651i | \(-0.865999\pi\) |
0.906523 | + | 0.422156i | \(0.138727\pi\) | |||||||
\(788\) | −444385. | − | 3.09076e6i | −0.0254943 | − | 0.177317i | ||||
\(789\) | −1.74187e7 | − | 5.11460e6i | −0.996148 | − | 0.292495i | ||||
\(790\) | 60473.2 | − | 38863.8i | 0.00344743 | − | 0.00221553i | ||||
\(791\) | 625480. | + | 1.36961e6i | 0.0355445 | + | 0.0778315i | ||||
\(792\) | 1.38413e6 | − | 406416.i | 0.0784085 | − | 0.0230228i | ||||
\(793\) | −2.36085e7 | + | 2.72456e7i | −1.33317 | + | 1.53856i | ||||
\(794\) | −9.43732e6 | + | 1.08912e7i | −0.531248 | + | 0.613093i | ||||
\(795\) | 380792. | − | 111811.i | 0.0213683 | − | 0.00627430i | ||||
\(796\) | 1.76873e6 | + | 3.87298e6i | 0.0989416 | + | 0.216652i | ||||
\(797\) | 742785. | − | 477359.i | 0.0414207 | − | 0.0266195i | −0.519767 | − | 0.854308i | \(-0.673981\pi\) |
0.561187 | + | 0.827689i | \(0.310345\pi\) | |||||||
\(798\) | 1.50768e6 | + | 442696.i | 0.0838114 | + | 0.0246093i | ||||
\(799\) | 675659. | + | 4.69931e6i | 0.0374421 | + | 0.260416i | ||||
\(800\) | 7.64977e6 | − | 1.67507e7i | 0.422594 | − | 0.925352i | ||||
\(801\) | −1.33597e6 | + | 9.29189e6i | −0.0735726 | + | 0.511709i | ||||
\(802\) | −1.17948e7 | − | 7.58006e6i | −0.647522 | − | 0.416137i | ||||
\(803\) | −2.62686e6 | − | 3.03156e6i | −0.143763 | − | 0.165912i | ||||
\(804\) | −6.55782e6 | −0.357783 | ||||||||
\(805\) | −208174. | − | 360883.i | −0.0113224 | − | 0.0196280i | ||||
\(806\) | 1.35069e6 | 0.0732349 | ||||||||
\(807\) | 5.80500e6 | + | 6.69932e6i | 0.313775 | + | 0.362116i | ||||
\(808\) | −156201. | − | 100385.i | −0.00841698 | − | 0.00540927i | ||||
\(809\) | −1.72508e6 | + | 1.19982e7i | −0.0926696 | + | 0.644531i | 0.889556 | + | 0.456826i | \(0.151014\pi\) |
−0.982225 | + | 0.187705i | \(0.939895\pi\) | |||||||
\(810\) | 23870.3 | − | 52268.6i | 0.00127833 | − | 0.00279916i | ||||
\(811\) | −4.57655e6 | − | 3.18306e7i | −0.244335 | − | 1.69939i | −0.629875 | − | 0.776697i | \(-0.716894\pi\) |
0.385539 | − | 0.922691i | \(-0.374015\pi\) | |||||||
\(812\) | −3.22174e6 | − | 945988.i | −0.171475 | − | 0.0503495i | ||||
\(813\) | −2.12915e6 | + | 1.36832e6i | −0.112974 | + | 0.0726042i | ||||
\(814\) | −825405. | − | 1.80738e6i | −0.0436622 | − | 0.0956070i | ||||
\(815\) | −839665. | + | 246548.i | −0.0442804 | + | 0.0130019i | ||||
\(816\) | 325769. | − | 375957.i | 0.0171271 | − | 0.0197657i | ||||
\(817\) | −9.17796e6 | + | 1.05919e7i | −0.481051 | + | 0.555162i | ||||
\(818\) | 4.27280e6 | − | 1.25461e6i | 0.223269 | − | 0.0655578i | ||||
\(819\) | 2.15441e6 | + | 4.71751e6i | 0.112233 | + | 0.245755i | ||||
\(820\) | −560322. | + | 360097.i | −0.0291007 | + | 0.0187019i | ||||
\(821\) | −2.02967e7 | − | 5.95966e6i | −1.05092 | − | 0.308577i | −0.289729 | − | 0.957109i | \(-0.593565\pi\) |
−0.761188 | + | 0.648532i | \(0.775383\pi\) | |||||||
\(822\) | −1.19844e6 | − | 8.33530e6i | −0.0618636 | − | 0.430271i | ||||
\(823\) | −8.78282e6 | + | 1.92317e7i | −0.451996 | + | 0.989732i | 0.537244 | + | 0.843427i | \(0.319465\pi\) |
−0.989239 | + | 0.146305i | \(0.953262\pi\) | |||||||
\(824\) | 2.66561e6 | − | 1.85397e7i | 0.136766 | − | 0.951229i | ||||
\(825\) | 2.38132e6 | + | 1.53038e6i | 0.121810 | + | 0.0782824i | ||||
\(826\) | −1.72417e6 | − | 1.98979e6i | −0.0879284 | − | 0.101475i | ||||
\(827\) | −2.72099e7 | −1.38345 | −0.691725 | − | 0.722161i | \(-0.743149\pi\) | ||||
−0.691725 | + | 0.722161i | \(0.743149\pi\) | |||||||
\(828\) | −205295. | + | 4.27577e6i | −0.0104064 | + | 0.216740i | ||||
\(829\) | −1.05961e7 | −0.535503 | −0.267751 | − | 0.963488i | \(-0.586281\pi\) | ||||
−0.267751 | + | 0.963488i | \(0.586281\pi\) | |||||||
\(830\) | −414045. | − | 477834.i | −0.0208618 | − | 0.0240758i | ||||
\(831\) | −4.66207e6 | − | 2.99613e6i | −0.234194 | − | 0.150507i | ||||
\(832\) | 2.51385e6 | − | 1.74842e7i | 0.125901 | − | 0.875664i | ||||
\(833\) | 3.86492e6 | − | 8.46299e6i | 0.192987 | − | 0.422583i | ||||
\(834\) | −289705. | − | 2.01494e6i | −0.0144225 | − | 0.100311i | ||||
\(835\) | 82376.3 | + | 24187.9i | 0.00408871 | + | 0.00120055i | ||||
\(836\) | −1.47362e6 | + | 947035.i | −0.0729237 | + | 0.0468652i | ||||
\(837\) | 119790. | + | 262303.i | 0.00591026 | + | 0.0129417i | ||||
\(838\) | −5.46750e6 | + | 1.60540e6i | −0.268954 | + | 0.0789721i | ||||
\(839\) | −1.45226e7 | + | 1.67600e7i | −0.712264 | + | 0.821996i | −0.990354 | − | 0.138559i | \(-0.955753\pi\) |
0.278091 | + | 0.960555i | \(0.410298\pi\) | |||||||
\(840\) | −170887. | + | 197214.i | −0.00835624 | + | 0.00964361i | ||||
\(841\) | 1.33318e7 | − | 3.91457e6i | 0.649978 | − | 0.190851i | ||||
\(842\) | −1.96103e6 | − | 4.29406e6i | −0.0953245 | − | 0.208732i | ||||
\(843\) | −1.35843e7 | + | 8.73007e6i | −0.658366 | + | 0.423106i | ||||
\(844\) | −1.97828e7 | − | 5.80874e6i | −0.955940 | − | 0.280689i | ||||
\(845\) | 250862. | + | 1.74478e6i | 0.0120863 | + | 0.0840620i | ||||
\(846\) | −739118. | + | 1.61844e6i | −0.0355049 | + | 0.0777448i | ||||
\(847\) | −1.34554e6 | + | 9.35843e6i | −0.0644448 | + | 0.448223i | ||||
\(848\) | 1.08321e6 | + | 696137.i | 0.0517277 | + | 0.0332434i | ||||
\(849\) | −4.34804e6 | − | 5.01790e6i | −0.207026 | − | 0.238920i | ||||
\(850\) | −7.52732e6 | −0.357350 | ||||||||
\(851\) | 1.48864e7 | − | 1.41581e6i | 0.704636 | − | 0.0670166i | ||||
\(852\) | 9.04357e6 | 0.426816 | ||||||||
\(853\) | 1.66929e7 | + | 1.92646e7i | 0.785524 | + | 0.906543i | 0.997495 | − | 0.0707327i | \(-0.0225337\pi\) |
−0.211971 | + | 0.977276i | \(0.567988\pi\) | |||||||
\(854\) | −6.21640e6 | − | 3.99504e6i | −0.291672 | − | 0.187446i | ||||
\(855\) | −25184.1 | + | 175160.i | −0.00117818 | + | 0.00819443i | ||||
\(856\) | −8.33640e6 | + | 1.82542e7i | −0.388861 | + | 0.851486i | ||||
\(857\) | −991093. | − | 6.89320e6i | −0.0460959 | − | 0.320604i | −0.999803 | − | 0.0198659i | \(-0.993676\pi\) |
0.953707 | − | 0.300738i | \(-0.0972330\pi\) | |||||||
\(858\) | 2.97429e6 | + | 873329.i | 0.137932 | + | 0.0405004i | ||||
\(859\) | 9.18906e6 | − | 5.90545e6i | 0.424902 | − | 0.273068i | −0.310666 | − | 0.950519i | \(-0.600552\pi\) |
0.735567 | + | 0.677452i | \(0.236916\pi\) | |||||||
\(860\) | −381234. | − | 834786.i | −0.0175770 | − | 0.0384883i | ||||
\(861\) | −6.60256e6 | + | 1.93869e6i | −0.303532 | + | 0.0891250i | ||||
\(862\) | 1.63274e7 | − | 1.88428e7i | 0.748426 | − | 0.863730i | ||||
\(863\) | 7.01014e6 | − | 8.09014e6i | 0.320405 | − | 0.369768i | −0.572583 | − | 0.819847i | \(-0.694059\pi\) |
0.892989 | + | 0.450079i | \(0.148604\pi\) | |||||||
\(864\) | 4.13087e6 | − | 1.21293e6i | 0.188259 | − | 0.0552779i | ||||
\(865\) | 497662. | + | 1.08973e6i | 0.0226149 | + | 0.0495197i | ||||
\(866\) | −2.69875e6 | + | 1.73438e6i | −0.122284 | + | 0.0785868i | ||||
\(867\) | 7.75540e6 | + | 2.27719e6i | 0.350394 | + | 0.102885i | ||||
\(868\) | −73484.2 | − | 511094.i | −0.00331051 | − | 0.0230251i | ||||
\(869\) | −343927. | + | 753095.i | −0.0154496 | + | 0.0338299i | ||||
\(870\) | −28854.4 | + | 200687.i | −0.00129245 | + | 0.00898920i | ||||
\(871\) | −3.00657e7 | − | 1.93221e7i | −1.34285 | − | 0.862995i | ||||
\(872\) | 9.14459e6 | + | 1.05534e7i | 0.407261 | + | 0.470004i | ||||
\(873\) | −8.71311e6 | −0.386935 | ||||||||
\(874\) | 1.66385e6 | + | 6.86979e6i | 0.0736777 | + | 0.304204i | ||||
\(875\) | −1.02524e6 | −0.0452693 | ||||||||
\(876\) | −4.88243e6 | − | 5.63463e6i | −0.214969 | − | 0.248087i | ||||
\(877\) | 1.14743e7 | + | 7.37411e6i | 0.503766 | + | 0.323751i | 0.767721 | − | 0.640784i | \(-0.221391\pi\) |
−0.263955 | + | 0.964535i | \(0.585027\pi\) | |||||||
\(878\) | 504886. | − | 3.51156e6i | 0.0221033 | − | 0.153732i | ||||
\(879\) | 12355.9 | − | 27055.6i | 0.000539387 | − | 0.00118109i | ||||
\(880\) | −2878.59 | − | 20021.0i | −0.000125306 | − | 0.000871525i | ||||
\(881\) | 1.55015e7 | + | 4.55165e6i | 0.672874 | + | 0.197574i | 0.600283 | − | 0.799788i | \(-0.295055\pi\) |
0.0725918 | + | 0.997362i | \(0.476873\pi\) | |||||||
\(882\) | 2.93318e6 | − | 1.88504e6i | 0.126960 | − | 0.0815924i | ||||
\(883\) | −4.98039e6 | − | 1.09055e7i | −0.214962 | − | 0.470701i | 0.771178 | − | 0.636620i | \(-0.219668\pi\) |
−0.986139 | + | 0.165920i | \(0.946941\pi\) | |||||||
\(884\) | 1.47512e7 | − | 4.33135e6i | 0.634888 | − | 0.186420i | ||||
\(885\) | 194173. | − | 224087.i | 0.00833354 | − | 0.00961742i | ||||
\(886\) | −1.38048e7 | + | 1.59316e7i | −0.590807 | + | 0.681828i | ||||
\(887\) | 1.81704e7 | − | 5.33530e6i | 0.775452 | − | 0.227693i | 0.130020 | − | 0.991511i | \(-0.458496\pi\) |
0.645432 | + | 0.763818i | \(0.276678\pi\) | |||||||
\(888\) | −3.89086e6 | − | 8.51979e6i | −0.165582 | − | 0.362574i | ||||
\(889\) | −5.20169e6 | + | 3.34292e6i | −0.220744 | + | 0.141864i | ||||
\(890\) | −973888. | − | 285959.i | −0.0412130 | − | 0.0121012i | ||||
\(891\) | 94183.1 | + | 655058.i | 0.00397447 | + | 0.0276430i | ||||
\(892\) | −7.25850e6 | + | 1.58939e7i | −0.305446 | + | 0.668834i | ||||
\(893\) | 779801. | − | 5.42363e6i | 0.0327231 | − | 0.227594i | ||||
\(894\) | −7.26215e6 | − | 4.66710e6i | −0.303893 | − | 0.195300i | ||||
\(895\) | 701263. | + | 809301.i | 0.0292633 | + | 0.0337717i | ||||
\(896\) | −8.22194e6 | −0.342140 | ||||||||
\(897\) | −1.35394e7 | + | 1.89983e7i | −0.561848 | + | 0.788377i | ||||
\(898\) | 2.26960e7 | 0.939200 | ||||||||
\(899\) | −666307. | − | 768959.i | −0.0274963 | − | 0.0317325i | ||||
\(900\) | 4.42605e6 | + | 2.84445e6i | 0.182142 | + | 0.117055i | ||||
\(901\) | 1.72980e6 | − | 1.20310e7i | 0.0709876 | − | 0.493730i | ||||
\(902\) | −1.70862e6 | + | 3.74137e6i | −0.0699247 | + | 0.153114i | ||||
\(903\) | −1.34933e6 | − | 9.38481e6i | −0.0550680 | − | 0.383006i | ||||
\(904\) | 4.07048e6 | + | 1.19520e6i | 0.165662 | + | 0.0486429i | ||||
\(905\) | −529580. | + | 340340.i | −0.0214936 | + | 0.0138131i | ||||
\(906\) | 4.26029e6 | + | 9.32874e6i | 0.172432 | + | 0.377574i | ||||
\(907\) | 3.99085e7 | − | 1.17182e7i | 1.61082 | − | 0.472979i | 0.652290 | − | 0.757970i | \(-0.273809\pi\) |
0.958530 | + | 0.284990i | \(0.0919904\pi\) | |||||||
\(908\) | 1.42355e6 | − | 1.64286e6i | 0.0573004 | − | 0.0661282i | ||||
\(909\) | 55782.2 | − | 64376.1i | 0.00223916 | − | 0.00258413i | ||||
\(910\) | −538032. | + | 157981.i | −0.0215380 | + | 0.00632412i | ||||
\(911\) | 1.44620e7 | + | 3.16674e7i | 0.577341 | + | 1.26420i | 0.942796 | + | 0.333371i | \(0.108186\pi\) |
−0.365455 | + | 0.930829i | \(0.619087\pi\) | |||||||
\(912\) | −482996. | + | 310403.i | −0.0192290 | + | 0.0123577i | ||||
\(913\) | 6.98697e6 | + | 2.05156e6i | 0.277403 | + | 0.0814530i | ||||
\(914\) | 3.86548e6 | + | 2.68850e7i | 0.153052 | + | 1.06450i | ||||
\(915\) | 345703. | − | 756983.i | 0.0136505 | − | 0.0298905i | ||||
\(916\) | 63494.5 | − | 441614.i | 0.00250033 | − | 0.0173902i | ||||
\(917\) | −1.55733e7 | − | 1.00084e7i | −0.611588 | − | 0.393043i | ||||
\(918\) | −1.15245e6 | − | 1.33000e6i | −0.0451352 | − | 0.0520888i | ||||
\(919\) | 4.00368e7 | 1.56376 | 0.781881 | − | 0.623428i | \(-0.214261\pi\) | ||||
0.781881 | + | 0.623428i | \(0.214261\pi\) | |||||||
\(920\) | −1.15255e6 | − | 222587.i | −0.0448944 | − | 0.00867023i | ||||
\(921\) | 9.15194e6 | 0.355520 | ||||||||
\(922\) | −9.01149e6 | − | 1.03998e7i | −0.349116 | − | 0.402901i | ||||
\(923\) | 4.14622e7 | + | 2.66461e7i | 1.60195 | + | 1.02951i | ||||
\(924\) | 168647. | − | 1.17297e6i | 0.00649829 | − | 0.0451966i | ||||
\(925\) | 7.63486e6 | − | 1.67180e7i | 0.293391 | − | 0.642437i | ||||
\(926\) | 3.66332e6 | + | 2.54790e7i | 0.140394 | + | 0.976460i | ||||
\(927\) | 8.24474e6 | + | 2.42087e6i | 0.315121 | + | 0.0925279i | ||||
\(928\) | −1.27795e7 | + | 8.21288e6i | −0.487129 | + | 0.313059i | ||||
\(929\) | −1.11031e6 | − | 2.43124e6i | −0.0422091 | − | 0.0924249i | 0.887353 | − | 0.461091i | \(-0.152542\pi\) |
−0.929562 | + | 0.368666i | \(0.879815\pi\) | |||||||
\(930\) | −29915.7 | + | 8784.05i | −0.00113421 | + | 0.000333033i | ||||
\(931\) | −7.03175e6 | + | 8.11507e6i | −0.265882 | + | 0.306844i | ||||
\(932\) | 1.40482e7 | − | 1.62125e7i | 0.529763 | − | 0.611379i | ||||
\(933\) | 754684. | − | 221595.i | 0.0283832 | − | 0.00833405i | ||||
\(934\) | −1.21252e7 | − | 2.65505e7i | −0.454802 | − | 0.995878i | ||||
\(935\) | −160626. | + | 103228.i | −0.00600878 | + | 0.00386161i | ||||
\(936\) | 1.40204e7 | + | 4.11677e6i | 0.523084 | + | 0.153591i | ||||
\(937\) | −5.35770e6 | − | 3.72636e7i | −0.199356 | − | 1.38655i | −0.806159 | − | 0.591699i | \(-0.798457\pi\) |
0.606803 | − | 0.794852i | \(-0.292452\pi\) | |||||||
\(938\) | 3.04313e6 | − | 6.66353e6i | 0.112931 | − | 0.247285i | ||||
\(939\) | −3.76274e6 | + | 2.61704e7i | −0.139264 | + | 0.968604i | ||||
\(940\) | 301837. | + | 193979.i | 0.0111417 | + | 0.00716036i | ||||
\(941\) | 1.82872e7 | + | 2.11045e7i | 0.673244 | + | 0.776965i | 0.984880 | − | 0.173236i | \(-0.0554224\pi\) |
−0.311636 | + | 0.950202i | \(0.600877\pi\) | |||||||
\(942\) | 1.57153e7 | 0.577027 | ||||||||
\(943\) | −2.23948e7 | − | 2.13695e7i | −0.820101 | − | 0.782555i | ||||
\(944\) | 962008. | 0.0351357 | ||||||||
\(945\) | −78396.7 | − | 90474.6i | −0.00285574 | − | 0.00329570i | ||||
\(946\) | −4.76749e6 | − | 3.06388e6i | −0.173206 | − | 0.111312i | ||||
\(947\) | −1.14649e6 | + | 7.97402e6i | −0.0415428 | + | 0.288936i | 0.958450 | + | 0.285259i | \(0.0920796\pi\) |
−0.999993 | + | 0.00367734i | \(0.998829\pi\) | |||||||
\(948\) | −639242. | + | 1.39975e6i | −0.0231017 | + | 0.0505858i | ||||
\(949\) | −5.78260e6 | − | 4.02189e7i | −0.208429 | − | 1.44965i | ||||
\(950\) | 8.33563e6 | + | 2.44756e6i | 0.299661 | + | 0.0879883i | ||||
\(951\) | 1.07371e7 | − | 6.90032e6i | 0.384978 | − | 0.247410i | ||||
\(952\) | 3.32002e6 | + | 7.26983e6i | 0.118727 | + | 0.259975i | ||||
\(953\) | 2.57482e7 | − | 7.56035e6i | 0.918363 | − | 0.269656i | 0.211806 | − | 0.977312i | \(-0.432066\pi\) |
0.706557 | + | 0.707656i | \(0.250247\pi\) | |||||||
\(954\) | 2.98296e6 | − | 3.44252e6i | 0.106115 | − | 0.122463i | ||||
\(955\) | 19045.7 | − | 21979.9i | 0.000675754 | − | 0.000779862i | ||||
\(956\) | −2.17716e6 | + | 639272.i | −0.0770453 | + | 0.0226225i | ||||
\(957\) | −970047. | − | 2.12411e6i | −0.0342383 | − | 0.0749715i | ||||
\(958\) | −5.11347e6 | + | 3.28623e6i | −0.180012 | + | 0.115687i | ||||
\(959\) | −1.68337e7 | − | 4.94283e6i | −0.591063 | − | 0.173552i | ||||
\(960\) | 58028.5 | + | 403597.i | 0.00203218 | + | 0.0141341i | ||||
\(961\) | −1.18280e7 | + | 2.58997e7i | −0.413145 | + | 0.904661i | ||||
\(962\) | 2.86431e6 | − | 1.99217e7i | 0.0997889 | − | 0.694047i | ||||
\(963\) | −7.74483e6 | − | 4.97730e6i | −0.269120 | − | 0.172953i | ||||
\(964\) | −1.25592e7 | − | 1.44941e7i | −0.435282 | − | 0.502342i | ||||
\(965\) | −380339. | −0.0131478 | ||||||||
\(966\) | −4.24943e6 | − | 2.19276e6i | −0.146517 | − | 0.0756046i | ||||
\(967\) | −2.16966e7 | −0.746147 | −0.373074 | − | 0.927802i | \(-0.621696\pi\) | ||||
−0.373074 | + | 0.927802i | \(0.621696\pi\) | |||||||
\(968\) | 1.74449e7 | + | 2.01324e7i | 0.598383 | + | 0.690570i | ||||
\(969\) | 4.55935e6 | + | 2.93011e6i | 0.155989 | + | 0.100248i | ||||
\(970\) | 134074. | − | 932502.i | 0.00457524 | − | 0.0318215i | ||||
\(971\) | 6.26691e6 | − | 1.37226e7i | 0.213307 | − | 0.467078i | −0.772488 | − | 0.635029i | \(-0.780988\pi\) |
0.985795 | + | 0.167952i | \(0.0537152\pi\) | |||||||
\(972\) | 175054. | + | 1.21753e6i | 0.00594301 | + | 0.0413346i | ||||
\(973\) | −4.06931e6 | − | 1.19486e6i | −0.137797 | − | 0.0404608i | ||||
\(974\) | −7.55379e6 | + | 4.85453e6i | −0.255134 | + | 0.163964i | ||||
\(975\) | 1.19112e7 | + | 2.60820e7i | 0.401278 | + | 0.878677i | ||||
\(976\) | 2.59061e6 | − | 760672.i | 0.0870518 | − | 0.0255607i | ||||
\(977\) | −3.15574e6 | + | 3.64191e6i | −0.105770 | + | 0.122066i | −0.806166 | − | 0.591689i | \(-0.798461\pi\) |
0.700396 | + | 0.713755i | \(0.253007\pi\) | |||||||
\(978\) | −6.57757e6 | + | 7.59093e6i | −0.219897 | + | 0.253774i | ||||
\(979\) | 1.12165e7 | − | 3.29346e6i | 0.374025 | − | 0.109824i | ||||
\(980\) | −292085. | − | 639577.i | −0.00971502 | − | 0.0212729i | ||||
\(981\) | −5.38928e6 | + | 3.46348e6i | −0.178796 | + | 0.114905i | ||||
\(982\) | 3.41391e7 | + | 1.00242e7i | 1.12973 | + | 0.331718i | ||||
\(983\) | −5.70229e6 | − | 3.96603e7i | −0.188220 | − | 1.30910i | −0.836614 | − | 0.547793i | \(-0.815468\pi\) |
0.648394 | − | 0.761305i | \(-0.275441\pi\) | |||||||
\(984\) | −8.05425e6 | + | 1.76363e7i | −0.265178 | + | 0.580658i | ||||
\(985\) | −55904.5 | + | 388825.i | −0.00183593 | + | 0.0127692i | ||||
\(986\) | 5.22382e6 | + | 3.35714e6i | 0.171118 | + | 0.109971i | ||||
\(987\) | 2.42747e6 | + | 2.80145e6i | 0.0793161 | + | 0.0915356i | ||||
\(988\) | −1.77436e7 | −0.578295 | ||||||||
\(989\) | 3.35353e7 | − | 2.63520e7i | 1.09021 | − | 0.856689i | ||||
\(990\) | −71555.5 | −0.00232036 | ||||||||
\(991\) | 1.19840e7 | + | 1.38302e7i | 0.387629 | + | 0.447348i | 0.915706 | − | 0.401848i | \(-0.131632\pi\) |
−0.528077 | + | 0.849197i | \(0.677087\pi\) | |||||||
\(992\) | −1.96521e6 | − | 1.26296e6i | −0.0634059 | − | 0.0407485i | ||||
\(993\) | 3.54150e6 | − | 2.46317e7i | 0.113976 | − | 0.792722i | ||||
\(994\) | −4.19664e6 | + | 9.18935e6i | −0.134721 | + | 0.294998i | ||||
\(995\) | −76228.5 | − | 530181.i | −0.00244095 | − | 0.0169772i | ||||
\(996\) | 1.29864e7 | + | 3.81314e6i | 0.414801 | + | 0.121797i | ||||
\(997\) | −1.23718e7 | + | 7.95087e6i | −0.394180 | + | 0.253324i | −0.722684 | − | 0.691178i | \(-0.757092\pi\) |
0.328504 | + | 0.944503i | \(0.393456\pi\) | |||||||
\(998\) | 6.07636e6 | + | 1.33054e7i | 0.193116 | + | 0.422864i | ||||
\(999\) | 4.12281e6 | − | 1.21057e6i | 0.130701 | − | 0.0383774i |
(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 | 69.6.e.b.13.6 | ✓ | 100 | |
23.16 | even | 11 | inner | 69.6.e.b.16.6 | yes | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.6.e.b.13.6 | ✓ | 100 | 1.1 | even | 1 | trivial | |
69.6.e.b.16.6 | yes | 100 | 23.16 | even | 11 | inner |