Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,5,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.44490841261\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 29.7 | ||
Character | \(\chi\) | \(=\) | 43.29 |
Dual form | 43.5.h.a.3.7 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.410655 | − | 0.852734i | −0.102664 | − | 0.213184i | 0.843309 | − | 0.537428i | \(-0.180604\pi\) |
−0.945973 | + | 0.324245i | \(0.894890\pi\) | |||||||
\(3\) | −16.8171 | + | 1.26027i | −1.86857 | + | 0.140030i | −0.960409 | − | 0.278594i | \(-0.910131\pi\) |
−0.908160 | + | 0.418624i | \(0.862512\pi\) | |||||||
\(4\) | 9.41732 | − | 11.8089i | 0.588582 | − | 0.738059i | ||||
\(5\) | 6.39035 | + | 20.7170i | 0.255614 | + | 0.828681i | 0.988877 | + | 0.148736i | \(0.0475203\pi\) |
−0.733263 | + | 0.679945i | \(0.762003\pi\) | |||||||
\(6\) | 7.98071 | + | 13.8230i | 0.221686 | + | 0.383972i | ||||
\(7\) | 31.1693 | + | 17.9956i | 0.636109 | + | 0.367258i | 0.783114 | − | 0.621878i | \(-0.213630\pi\) |
−0.147005 | + | 0.989136i | \(0.546963\pi\) | |||||||
\(8\) | −28.7009 | − | 6.55080i | −0.448452 | − | 0.102356i | ||||
\(9\) | 201.132 | − | 30.3157i | 2.48311 | − | 0.374268i | ||||
\(10\) | 15.0419 | − | 13.9568i | 0.150419 | − | 0.139568i | ||||
\(11\) | 139.158 | + | 174.499i | 1.15007 | + | 1.44214i | 0.877224 | + | 0.480082i | \(0.159393\pi\) |
0.272845 | + | 0.962058i | \(0.412036\pi\) | |||||||
\(12\) | −143.490 | + | 210.461i | −0.996456 | + | 1.46153i | ||||
\(13\) | −60.7979 | − | 56.4122i | −0.359751 | − | 0.333800i | 0.479503 | − | 0.877540i | \(-0.340817\pi\) |
−0.839253 | + | 0.543740i | \(0.817008\pi\) | |||||||
\(14\) | 2.54564 | − | 33.9692i | 0.0129879 | − | 0.173312i | ||||
\(15\) | −133.576 | − | 340.347i | −0.593673 | − | 1.51265i | ||||
\(16\) | −47.5759 | − | 208.444i | −0.185844 | − | 0.814234i | ||||
\(17\) | 67.3331 | + | 20.7695i | 0.232987 | + | 0.0718669i | 0.409050 | − | 0.912512i | \(-0.365860\pi\) |
−0.176063 | + | 0.984379i | \(0.556336\pi\) | |||||||
\(18\) | −108.447 | − | 159.063i | −0.334713 | − | 0.490934i | ||||
\(19\) | −62.0839 | + | 411.900i | −0.171978 | + | 1.14100i | 0.721673 | + | 0.692234i | \(0.243373\pi\) |
−0.893651 | + | 0.448763i | \(0.851865\pi\) | |||||||
\(20\) | 304.826 | + | 119.635i | 0.762065 | + | 0.299089i | ||||
\(21\) | −546.858 | − | 263.353i | −1.24004 | − | 0.597172i | ||||
\(22\) | 91.6552 | − | 190.324i | 0.189370 | − | 0.393231i | ||||
\(23\) | −57.4962 | + | 146.498i | −0.108688 | + | 0.276934i | −0.974862 | − | 0.222810i | \(-0.928477\pi\) |
0.866173 | + | 0.499743i | \(0.166572\pi\) | |||||||
\(24\) | 490.922 | + | 73.9946i | 0.852296 | + | 0.128463i | ||||
\(25\) | 128.041 | − | 87.2968i | 0.204865 | − | 0.139675i | ||||
\(26\) | −23.1377 | + | 75.0104i | −0.0342273 | + | 0.110962i | ||||
\(27\) | −2012.49 | + | 459.338i | −2.76062 | + | 0.630094i | ||||
\(28\) | 506.041 | − | 198.606i | 0.645460 | − | 0.253325i | ||||
\(29\) | 1208.40 | + | 90.5570i | 1.43686 | + | 0.107678i | 0.770256 | − | 0.637735i | \(-0.220128\pi\) |
0.666604 | + | 0.745412i | \(0.267747\pi\) | |||||||
\(30\) | −235.372 | + | 253.670i | −0.261524 | + | 0.281856i | ||||
\(31\) | 571.502 | + | 389.643i | 0.594695 | + | 0.405456i | 0.822924 | − | 0.568151i | \(-0.192341\pi\) |
−0.228229 | + | 0.973607i | \(0.573294\pi\) | |||||||
\(32\) | −526.471 | + | 419.847i | −0.514132 | + | 0.410007i | ||||
\(33\) | −2560.16 | − | 2759.19i | −2.35092 | − | 2.53369i | ||||
\(34\) | −9.93982 | − | 65.9464i | −0.00859846 | − | 0.0570471i | ||||
\(35\) | −173.633 | + | 760.734i | −0.141741 | + | 0.621008i | ||||
\(36\) | 1536.13 | − | 2660.65i | 1.18528 | − | 2.05297i | ||||
\(37\) | −664.909 | + | 383.885i | −0.485690 | + | 0.280413i | −0.722784 | − | 0.691073i | \(-0.757138\pi\) |
0.237095 | + | 0.971486i | \(0.423805\pi\) | |||||||
\(38\) | 376.736 | − | 116.208i | 0.260898 | − | 0.0804763i | ||||
\(39\) | 1093.54 | + | 872.069i | 0.718961 | + | 0.573352i | ||||
\(40\) | −47.6960 | − | 636.459i | −0.0298100 | − | 0.397787i | ||||
\(41\) | −1315.85 | + | 633.682i | −0.782781 | + | 0.376967i | −0.782196 | − | 0.623032i | \(-0.785900\pi\) |
−0.000584978 | 1.00000i | \(0.500186\pi\) | ||||||||
\(42\) | 574.472i | 0.325664i | ||||||||
\(43\) | 472.256 | + | 1787.67i | 0.255412 | + | 0.966832i | ||||
\(44\) | 3371.15 | 1.74129 | ||||||||
\(45\) | 1913.36 | + | 3973.12i | 0.944867 | + | 1.96204i | ||||
\(46\) | 148.535 | − | 11.1312i | 0.0701961 | − | 0.00526047i | ||||
\(47\) | 1228.47 | − | 1540.45i | 0.556118 | − | 0.697350i | −0.421716 | − | 0.906728i | \(-0.638572\pi\) |
0.977835 | + | 0.209377i | \(0.0671437\pi\) | |||||||
\(48\) | 1062.79 | + | 3445.47i | 0.461278 | + | 1.49543i | ||||
\(49\) | −552.815 | − | 957.503i | −0.230244 | − | 0.398793i | ||||
\(50\) | −127.022 | − | 73.3360i | −0.0508087 | − | 0.0293344i | ||||
\(51\) | −1158.52 | − | 264.426i | −0.445415 | − | 0.101663i | ||||
\(52\) | −1238.72 | + | 186.707i | −0.458107 | + | 0.0690485i | ||||
\(53\) | 2803.11 | − | 2600.91i | 0.997904 | − | 0.925919i | 0.000651420 | − | 1.00000i | \(-0.499793\pi\) |
0.997252 | + | 0.0740805i | \(0.0236022\pi\) | |||||||
\(54\) | 1218.13 | + | 1527.49i | 0.417742 | + | 0.523831i | ||||
\(55\) | −2725.83 | + | 3998.05i | −0.901100 | + | 1.32167i | ||||
\(56\) | −776.703 | − | 720.675i | −0.247673 | − | 0.229807i | ||||
\(57\) | 524.968 | − | 7005.21i | 0.161578 | − | 2.15611i | ||||
\(58\) | −419.014 | − | 1067.63i | −0.124558 | − | 0.317370i | ||||
\(59\) | 269.788 | + | 1182.02i | 0.0775029 | + | 0.339562i | 0.998782 | − | 0.0493396i | \(-0.0157116\pi\) |
−0.921279 | + | 0.388902i | \(0.872855\pi\) | |||||||
\(60\) | −5277.07 | − | 1627.76i | −1.46585 | − | 0.452156i | ||||
\(61\) | −1136.39 | − | 1666.78i | −0.305400 | − | 0.447940i | 0.642604 | − | 0.766199i | \(-0.277854\pi\) |
−0.948004 | + | 0.318259i | \(0.896902\pi\) | |||||||
\(62\) | 97.5720 | − | 647.348i | 0.0253829 | − | 0.168405i | ||||
\(63\) | 6814.70 | + | 2674.57i | 1.71698 | + | 0.673865i | ||||
\(64\) | −2507.88 | − | 1207.73i | −0.612276 | − | 0.294856i | ||||
\(65\) | 780.173 | − | 1620.05i | 0.184656 | − | 0.383443i | ||||
\(66\) | −1301.52 | + | 3316.21i | −0.298787 | + | 0.761297i | ||||
\(67\) | −7963.60 | − | 1200.32i | −1.77403 | − | 0.267391i | −0.821141 | − | 0.570725i | \(-0.806662\pi\) |
−0.952885 | + | 0.303333i | \(0.901900\pi\) | |||||||
\(68\) | 879.364 | − | 599.540i | 0.190174 | − | 0.129658i | ||||
\(69\) | 782.294 | − | 2536.13i | 0.164313 | − | 0.532689i | ||||
\(70\) | 720.008 | − | 164.337i | 0.146940 | − | 0.0335382i | ||||
\(71\) | −3940.91 | + | 1546.69i | −0.781772 | + | 0.306823i | −0.722456 | − | 0.691417i | \(-0.756987\pi\) |
−0.0593152 | + | 0.998239i | \(0.518892\pi\) | |||||||
\(72\) | −5971.26 | − | 447.484i | −1.15186 | − | 0.0863202i | ||||
\(73\) | 876.743 | − | 944.905i | 0.164523 | − | 0.177314i | −0.645409 | − | 0.763837i | \(-0.723313\pi\) |
0.809932 | + | 0.586523i | \(0.199504\pi\) | |||||||
\(74\) | 600.401 | + | 409.346i | 0.109642 | + | 0.0747528i | ||||
\(75\) | −2043.26 | + | 1629.45i | −0.363246 | + | 0.289679i | ||||
\(76\) | 4279.44 | + | 4612.14i | 0.740900 | + | 0.798500i | ||||
\(77\) | 1197.25 | + | 7943.26i | 0.201932 | + | 1.33973i | ||||
\(78\) | 294.575 | − | 1290.62i | 0.0484180 | − | 0.212133i | ||||
\(79\) | 4219.55 | − | 7308.48i | 0.676102 | − | 1.17104i | −0.300043 | − | 0.953926i | \(-0.597001\pi\) |
0.976145 | − | 0.217118i | \(-0.0696655\pi\) | |||||||
\(80\) | 4014.31 | − | 2317.66i | 0.627236 | − | 0.362135i | ||||
\(81\) | 17521.7 | − | 5404.73i | 2.67059 | − | 0.823767i | ||||
\(82\) | 1080.73 | + | 861.850i | 0.160727 | + | 0.128175i | ||||
\(83\) | 121.727 | + | 1624.34i | 0.0176698 | + | 0.235787i | 0.999045 | + | 0.0436874i | \(0.0139106\pi\) |
−0.981375 | + | 0.192099i | \(0.938470\pi\) | |||||||
\(84\) | −8259.85 | + | 3977.74i | −1.17061 | + | 0.563738i | ||||
\(85\) | 1527.67i | 0.211442i | ||||||||
\(86\) | 1330.48 | − | 1136.83i | 0.179891 | − | 0.153708i | ||||
\(87\) | −20435.9 | −2.69995 | ||||||||
\(88\) | −2850.86 | − | 5919.88i | −0.368138 | − | 0.764447i | ||||
\(89\) | −4170.55 | + | 312.539i | −0.526518 | + | 0.0394571i | −0.335338 | − | 0.942098i | \(-0.608850\pi\) |
−0.191180 | + | 0.981555i | \(0.561231\pi\) | |||||||
\(90\) | 2602.29 | − | 3263.17i | 0.321270 | − | 0.402860i | ||||
\(91\) | −879.857 | − | 2852.43i | −0.106250 | − | 0.344455i | ||||
\(92\) | 1188.53 | + | 2058.59i | 0.140421 | + | 0.243217i | ||||
\(93\) | −10102.1 | − | 5832.43i | −1.16800 | − | 0.674347i | ||||
\(94\) | −1818.07 | − | 414.962i | −0.205757 | − | 0.0469627i | ||||
\(95\) | −8930.08 | + | 1345.99i | −0.989482 | + | 0.149140i | ||||
\(96\) | 8324.61 | − | 7724.11i | 0.903278 | − | 0.838119i | ||||
\(97\) | 577.963 | + | 724.743i | 0.0614266 | + | 0.0770265i | 0.811596 | − | 0.584220i | \(-0.198599\pi\) |
−0.750169 | + | 0.661246i | \(0.770028\pi\) | |||||||
\(98\) | −589.480 | + | 864.608i | −0.0613785 | + | 0.0900258i | ||||
\(99\) | 33279.2 | + | 30878.6i | 3.39549 | + | 3.15056i | ||||
\(100\) | 174.919 | − | 2334.13i | 0.0174919 | − | 0.233413i | ||||
\(101\) | 2919.00 | + | 7437.49i | 0.286148 | + | 0.729094i | 0.999597 | + | 0.0283864i | \(0.00903689\pi\) |
−0.713449 | + | 0.700707i | \(0.752868\pi\) | |||||||
\(102\) | 250.269 | + | 1096.50i | 0.0240551 | + | 0.105392i | ||||
\(103\) | −9183.11 | − | 2832.62i | −0.865596 | − | 0.267001i | −0.170009 | − | 0.985443i | \(-0.554380\pi\) |
−0.695587 | + | 0.718441i | \(0.744856\pi\) | |||||||
\(104\) | 1375.41 | + | 2017.36i | 0.127164 | + | 0.186516i | ||||
\(105\) | 1961.27 | − | 13012.2i | 0.177893 | − | 1.18024i | ||||
\(106\) | −3369.00 | − | 1322.23i | −0.299839 | − | 0.117678i | ||||
\(107\) | 14831.8 | + | 7142.64i | 1.29547 | + | 0.623866i | 0.949319 | − | 0.314313i | \(-0.101774\pi\) |
0.346151 | + | 0.938179i | \(0.387488\pi\) | |||||||
\(108\) | −13528.0 | + | 28091.2i | −1.15981 | + | 2.40836i | ||||
\(109\) | 4496.96 | − | 11458.1i | 0.378500 | − | 0.964402i | −0.606996 | − | 0.794705i | \(-0.707626\pi\) |
0.985496 | − | 0.169698i | \(-0.0542791\pi\) | |||||||
\(110\) | 4528.65 | + | 682.585i | 0.374269 | + | 0.0564120i | ||||
\(111\) | 10698.1 | − | 7293.81i | 0.868278 | − | 0.591982i | ||||
\(112\) | 2268.17 | − | 7353.22i | 0.180817 | − | 0.586194i | ||||
\(113\) | 11068.2 | − | 2526.23i | 0.866799 | − | 0.197841i | 0.234075 | − | 0.972219i | \(-0.424794\pi\) |
0.632724 | + | 0.774377i | \(0.281937\pi\) | |||||||
\(114\) | −6189.16 | + | 2429.07i | −0.476236 | + | 0.186909i | ||||
\(115\) | −3402.42 | − | 254.976i | −0.257272 | − | 0.0192799i | ||||
\(116\) | 12449.3 | − | 13417.1i | 0.925183 | − | 0.997110i | ||||
\(117\) | −13938.6 | − | 9503.15i | −1.01823 | − | 0.694218i | ||||
\(118\) | 897.156 | − | 715.458i | 0.0644324 | − | 0.0513831i | ||||
\(119\) | 1724.97 | + | 1859.07i | 0.121811 | + | 0.131281i | ||||
\(120\) | 1604.22 | + | 10643.3i | 0.111404 | + | 0.739118i | ||||
\(121\) | −7826.93 | + | 34292.0i | −0.534590 | + | 2.34219i | ||||
\(122\) | −954.658 | + | 1653.52i | −0.0641399 | + | 0.111094i | ||||
\(123\) | 21330.3 | − | 12315.0i | 1.40989 | − | 0.814002i | ||||
\(124\) | 9983.29 | − | 3079.44i | 0.649277 | − | 0.200276i | ||||
\(125\) | 13220.7 | + | 10543.1i | 0.846123 | + | 0.674761i | ||||
\(126\) | −517.792 | − | 6909.45i | −0.0326148 | − | 0.435214i | ||||
\(127\) | −2668.05 | + | 1284.87i | −0.165419 | + | 0.0796618i | −0.514761 | − | 0.857334i | \(-0.672119\pi\) |
0.349342 | + | 0.936995i | \(0.386405\pi\) | |||||||
\(128\) | 13408.6i | 0.818398i | ||||||||
\(129\) | −10194.9 | − | 29468.3i | −0.612639 | − | 1.77083i | ||||
\(130\) | −1701.85 | −0.100701 | ||||||||
\(131\) | −9113.98 | − | 18925.4i | −0.531087 | − | 1.10281i | −0.978071 | − | 0.208271i | \(-0.933216\pi\) |
0.446984 | − | 0.894542i | \(-0.352498\pi\) | |||||||
\(132\) | −56692.9 | + | 4248.55i | −3.25373 | + | 0.243833i | ||||
\(133\) | −9347.51 | + | 11721.4i | −0.528436 | + | 0.662638i | ||||
\(134\) | 2246.74 | + | 7283.76i | 0.125125 | + | 0.405645i | ||||
\(135\) | −22376.7 | − | 38757.5i | −1.22780 | − | 2.12661i | ||||
\(136\) | −1796.47 | − | 1037.19i | −0.0971272 | − | 0.0560764i | ||||
\(137\) | −7288.90 | − | 1663.64i | −0.388348 | − | 0.0886379i | 0.0238889 | − | 0.999715i | \(-0.492395\pi\) |
−0.412237 | + | 0.911077i | \(0.635252\pi\) | |||||||
\(138\) | −2483.90 | + | 374.388i | −0.130430 | + | 0.0196591i | ||||
\(139\) | 8203.14 | − | 7611.40i | 0.424571 | − | 0.393944i | −0.438742 | − | 0.898613i | \(-0.644576\pi\) |
0.863313 | + | 0.504669i | \(0.168385\pi\) | |||||||
\(140\) | 7348.32 | + | 9214.50i | 0.374914 | + | 0.470127i | ||||
\(141\) | −18717.9 | + | 27454.1i | −0.941495 | + | 1.38092i | ||||
\(142\) | 2937.27 | + | 2725.39i | 0.145669 | + | 0.135161i | ||||
\(143\) | 1383.34 | − | 18459.4i | 0.0676483 | − | 0.902704i | ||||
\(144\) | −15888.2 | − | 40482.4i | −0.766212 | − | 1.95228i | ||||
\(145\) | 5846.03 | + | 25613.1i | 0.278051 | + | 1.21822i | ||||
\(146\) | −1165.79 | − | 359.599i | −0.0546909 | − | 0.0168699i | ||||
\(147\) | 10503.5 | + | 15405.7i | 0.486069 | + | 0.712932i | ||||
\(148\) | −1728.38 | + | 11467.0i | −0.0789070 | + | 0.523514i | ||||
\(149\) | 6317.55 | + | 2479.45i | 0.284561 | + | 0.111682i | 0.503329 | − | 0.864095i | \(-0.332108\pi\) |
−0.218768 | + | 0.975777i | \(0.570204\pi\) | |||||||
\(150\) | 2228.56 | + | 1073.22i | 0.0990471 | + | 0.0476986i | ||||
\(151\) | 13939.6 | − | 28945.9i | 0.611361 | − | 1.26950i | −0.333722 | − | 0.942672i | \(-0.608305\pi\) |
0.945083 | − | 0.326832i | \(-0.105981\pi\) | |||||||
\(152\) | 4480.14 | − | 11415.2i | 0.193912 | − | 0.494079i | ||||
\(153\) | 14172.5 | + | 2136.16i | 0.605429 | + | 0.0912537i | ||||
\(154\) | 6281.83 | − | 4282.88i | 0.264877 | − | 0.180590i | ||||
\(155\) | −4420.15 | + | 14329.8i | −0.183981 | + | 0.596452i | ||||
\(156\) | 20596.4 | − | 4701.00i | 0.846336 | − | 0.193171i | ||||
\(157\) | 17365.0 | − | 6815.25i | 0.704490 | − | 0.276492i | 0.0140701 | − | 0.999901i | \(-0.495521\pi\) |
0.690420 | + | 0.723409i | \(0.257426\pi\) | |||||||
\(158\) | −7964.98 | − | 596.892i | −0.319058 | − | 0.0239101i | ||||
\(159\) | −43862.4 | + | 47272.4i | −1.73499 | + | 1.86988i | ||||
\(160\) | −12062.3 | − | 8223.95i | −0.471184 | − | 0.321248i | ||||
\(161\) | −4428.44 | + | 3531.56i | −0.170844 | + | 0.136243i | ||||
\(162\) | −11804.2 | − | 12721.9i | −0.449786 | − | 0.484754i | ||||
\(163\) | 3326.19 | + | 22067.9i | 0.125191 | + | 0.830587i | 0.959990 | + | 0.280033i | \(0.0903454\pi\) |
−0.834800 | + | 0.550554i | \(0.814417\pi\) | |||||||
\(164\) | −4908.71 | + | 21506.4i | −0.182507 | + | 0.799615i | ||||
\(165\) | 40801.9 | − | 70671.0i | 1.49869 | − | 2.59581i | ||||
\(166\) | 1335.14 | − | 770.843i | 0.0484518 | − | 0.0279737i | ||||
\(167\) | 5621.05 | − | 1733.87i | 0.201551 | − | 0.0621702i | −0.192336 | − | 0.981329i | \(-0.561606\pi\) |
0.393887 | + | 0.919159i | \(0.371130\pi\) | |||||||
\(168\) | 13970.1 | + | 11140.8i | 0.494974 | + | 0.394729i | ||||
\(169\) | −1620.32 | − | 21621.7i | −0.0567319 | − | 0.757034i | ||||
\(170\) | 1302.69 | − | 627.344i | 0.0450759 | − | 0.0217074i | ||||
\(171\) | 84728.3i | 2.89758i | ||||||||
\(172\) | 25557.9 | + | 11258.2i | 0.863910 | + | 0.380552i | ||||
\(173\) | −39143.0 | −1.30786 | −0.653932 | − | 0.756554i | \(-0.726882\pi\) | ||||
−0.653932 | + | 0.756554i | \(0.726882\pi\) | |||||||
\(174\) | 8392.11 | + | 17426.4i | 0.277187 | + | 0.575585i | ||||
\(175\) | 5561.91 | − | 416.808i | 0.181613 | − | 0.0136100i | ||||
\(176\) | 29752.6 | − | 37308.6i | 0.960506 | − | 1.20444i | ||||
\(177\) | −6026.71 | − | 19538.1i | −0.192368 | − | 0.623643i | ||||
\(178\) | 1979.17 | + | 3428.02i | 0.0624659 | + | 0.108194i | ||||
\(179\) | −41936.9 | − | 24212.3i | −1.30885 | − | 0.755665i | −0.326946 | − | 0.945043i | \(-0.606019\pi\) |
−0.981904 | + | 0.189378i | \(0.939353\pi\) | |||||||
\(180\) | 64937.1 | + | 14821.5i | 2.00423 | + | 0.457453i | ||||
\(181\) | −1975.20 | + | 297.713i | −0.0602911 | + | 0.00908742i | −0.179119 | − | 0.983827i | \(-0.557325\pi\) |
0.118827 | + | 0.992915i | \(0.462086\pi\) | |||||||
\(182\) | −2071.05 | + | 1921.65i | −0.0625240 | + | 0.0580138i | ||||
\(183\) | 21211.5 | + | 26598.3i | 0.633386 | + | 0.794241i | ||||
\(184\) | 2609.87 | − | 3827.98i | 0.0770874 | − | 0.113066i | ||||
\(185\) | −12202.0 | − | 11321.8i | −0.356522 | − | 0.330804i | ||||
\(186\) | −825.048 | + | 11009.5i | −0.0238481 | + | 0.318230i | ||||
\(187\) | 5745.70 | + | 14639.8i | 0.164308 | + | 0.418651i | ||||
\(188\) | −6622.20 | − | 29013.8i | −0.187364 | − | 0.820896i | ||||
\(189\) | −70994.2 | − | 21898.8i | −1.98746 | − | 0.613051i | ||||
\(190\) | 4814.96 | + | 7062.24i | 0.133378 | + | 0.195630i | ||||
\(191\) | 1857.35 | − | 12322.7i | 0.0509127 | − | 0.337784i | −0.948844 | − | 0.315744i | \(-0.897746\pi\) |
0.999757 | − | 0.0220396i | \(-0.00701600\pi\) | |||||||
\(192\) | 43697.4 | + | 17150.0i | 1.18537 | + | 0.465222i | ||||
\(193\) | −15645.7 | − | 7534.58i | −0.420031 | − | 0.202276i | 0.211916 | − | 0.977288i | \(-0.432030\pi\) |
−0.631947 | + | 0.775012i | \(0.717744\pi\) | |||||||
\(194\) | 380.670 | − | 790.468i | 0.0101145 | − | 0.0210030i | ||||
\(195\) | −11078.6 | + | 28227.7i | −0.291349 | + | 0.742346i | ||||
\(196\) | −16513.1 | − | 2488.95i | −0.429850 | − | 0.0647895i | ||||
\(197\) | −7352.58 | + | 5012.90i | −0.189455 | + | 0.129169i | −0.654333 | − | 0.756206i | \(-0.727051\pi\) |
0.464878 | + | 0.885375i | \(0.346098\pi\) | |||||||
\(198\) | 12665.0 | − | 41058.8i | 0.323053 | − | 1.04731i | ||||
\(199\) | −33576.7 | + | 7663.66i | −0.847874 | + | 0.193522i | −0.624319 | − | 0.781170i | \(-0.714623\pi\) |
−0.223555 | + | 0.974691i | \(0.571766\pi\) | |||||||
\(200\) | −4246.75 | + | 1666.73i | −0.106169 | + | 0.0416682i | ||||
\(201\) | 135438. | + | 10149.6i | 3.35233 | + | 0.251223i | ||||
\(202\) | 5143.50 | − | 5543.37i | 0.126054 | − | 0.135854i | ||||
\(203\) | 36035.4 | + | 24568.5i | 0.874454 | + | 0.596193i | ||||
\(204\) | −14032.8 | + | 11190.8i | −0.337197 | + | 0.268905i | ||||
\(205\) | −21536.8 | − | 23211.1i | −0.512476 | − | 0.552317i | ||||
\(206\) | 1355.63 | + | 8993.98i | 0.0319452 | + | 0.211942i | ||||
\(207\) | −7123.12 | + | 31208.4i | −0.166238 | + | 0.728335i | ||||
\(208\) | −8866.26 | + | 15356.8i | −0.204934 | + | 0.354956i | ||||
\(209\) | −80515.6 | + | 46485.7i | −1.84326 | + | 1.06421i | ||||
\(210\) | −11901.3 | + | 3671.08i | −0.269872 | + | 0.0832444i | ||||
\(211\) | −9384.93 | − | 7484.23i | −0.210798 | − | 0.168106i | 0.512399 | − | 0.858747i | \(-0.328757\pi\) |
−0.723197 | + | 0.690642i | \(0.757328\pi\) | |||||||
\(212\) | −4316.18 | − | 57595.4i | −0.0960345 | − | 1.28149i | ||||
\(213\) | 64325.5 | − | 30977.5i | 1.41783 | − | 0.682791i | ||||
\(214\) | − | 15580.8i | − | 0.340222i | ||||||
\(215\) | −34017.4 | + | 21207.6i | −0.735909 | + | 0.458791i | ||||
\(216\) | 60769.4 | 1.30250 | ||||||||
\(217\) | 10801.5 | + | 22429.5i | 0.229384 | + | 0.476320i | ||||
\(218\) | −11617.4 | + | 870.603i | −0.244453 | + | 0.0183192i | ||||
\(219\) | −13553.5 | + | 16995.5i | −0.282593 | + | 0.354361i | ||||
\(220\) | 21542.8 | + | 69840.1i | 0.445100 | + | 1.44298i | ||||
\(221\) | −2922.06 | − | 5061.15i | −0.0598280 | − | 0.103625i | ||||
\(222\) | −10612.9 | − | 6127.36i | −0.215342 | − | 0.124328i | ||||
\(223\) | 37615.4 | + | 8585.48i | 0.756408 | + | 0.172645i | 0.583299 | − | 0.812257i | \(-0.301762\pi\) |
0.173109 | + | 0.984903i | \(0.444619\pi\) | |||||||
\(224\) | −23965.2 | + | 3612.17i | −0.477622 | + | 0.0719900i | ||||
\(225\) | 23106.6 | − | 21439.8i | 0.456427 | − | 0.423503i | ||||
\(226\) | −6699.40 | − | 8400.79i | −0.131165 | − | 0.164476i | ||||
\(227\) | −6357.85 | + | 9325.25i | −0.123384 | + | 0.180971i | −0.882961 | − | 0.469446i | \(-0.844454\pi\) |
0.759577 | + | 0.650417i | \(0.225406\pi\) | |||||||
\(228\) | −77780.3 | − | 72169.6i | −1.49624 | − | 1.38830i | ||||
\(229\) | 7338.13 | − | 97920.5i | 0.139931 | − | 1.86725i | −0.280403 | − | 0.959882i | \(-0.590468\pi\) |
0.420334 | − | 0.907369i | \(-0.361913\pi\) | |||||||
\(230\) | 1179.80 | + | 3006.07i | 0.0223024 | + | 0.0568255i | ||||
\(231\) | −30145.0 | − | 132074.i | −0.564925 | − | 2.47510i | ||||
\(232\) | −34088.9 | − | 10515.0i | −0.633341 | − | 0.195360i | ||||
\(233\) | −2550.77 | − | 3741.29i | −0.0469849 | − | 0.0689143i | 0.802027 | − | 0.597287i | \(-0.203755\pi\) |
−0.849012 | + | 0.528373i | \(0.822802\pi\) | |||||||
\(234\) | −2379.72 | + | 15788.4i | −0.0434605 | + | 0.288341i | ||||
\(235\) | 39763.8 | + | 15606.1i | 0.720033 | + | 0.282592i | ||||
\(236\) | 16499.0 | + | 7945.52i | 0.296234 | + | 0.142659i | ||||
\(237\) | −61750.1 | + | 128225.i | −1.09936 | + | 2.28285i | ||||
\(238\) | 876.929 | − | 2234.38i | 0.0154814 | − | 0.0394460i | ||||
\(239\) | −30343.5 | − | 4573.55i | −0.531215 | − | 0.0800678i | −0.122043 | − | 0.992525i | \(-0.538944\pi\) |
−0.409173 | + | 0.912457i | \(0.634183\pi\) | |||||||
\(240\) | −64588.2 | + | 44035.5i | −1.12132 | + | 0.764505i | ||||
\(241\) | 14401.3 | − | 46687.9i | 0.247952 | − | 0.803842i | −0.742960 | − | 0.669335i | \(-0.766579\pi\) |
0.990913 | − | 0.134506i | \(-0.0429449\pi\) | |||||||
\(242\) | 32456.2 | − | 7407.90i | 0.554200 | − | 0.126492i | ||||
\(243\) | −132207. | + | 51887.6i | −2.23894 | + | 0.878720i | ||||
\(244\) | −30384.7 | − | 2277.02i | −0.510359 | − | 0.0382461i | ||||
\(245\) | 16303.9 | − | 17571.5i | 0.271619 | − | 0.292736i | ||||
\(246\) | −19260.8 | − | 13131.8i | −0.318277 | − | 0.216998i | ||||
\(247\) | 27010.7 | − | 21540.4i | 0.442734 | − | 0.353068i | ||||
\(248\) | −13850.1 | − | 14926.9i | −0.225191 | − | 0.242698i | ||||
\(249\) | −4094.20 | − | 27163.2i | −0.0660344 | − | 0.438109i | ||||
\(250\) | 3561.36 | − | 15603.3i | 0.0569817 | − | 0.249653i | ||||
\(251\) | −16579.1 | + | 28715.8i | −0.263156 | + | 0.455800i | −0.967079 | − | 0.254477i | \(-0.918097\pi\) |
0.703923 | + | 0.710276i | \(0.251430\pi\) | |||||||
\(252\) | 95760.0 | − | 55287.1i | 1.50794 | − | 0.870608i | ||||
\(253\) | −33564.8 | + | 10353.4i | −0.524376 | + | 0.161749i | ||||
\(254\) | 2191.30 | + | 1747.50i | 0.0339652 | + | 0.0270863i | ||||
\(255\) | −1925.27 | − | 25690.9i | −0.0296082 | − | 0.395093i | ||||
\(256\) | −28692.1 | + | 13817.4i | −0.437807 | + | 0.210837i | ||||
\(257\) | − | 30498.8i | − | 0.461761i | −0.972982 | − | 0.230880i | \(-0.925839\pi\) | ||
0.972982 | − | 0.230880i | \(-0.0741606\pi\) | |||||||
\(258\) | −20942.1 | + | 20794.9i | −0.314615 | + | 0.312405i | ||||
\(259\) | −27633.0 | −0.411935 | ||||||||
\(260\) | −11783.9 | − | 24469.5i | −0.174318 | − | 0.361975i | ||||
\(261\) | 245793. | − | 18419.6i | 3.60818 | − | 0.270396i | ||||
\(262\) | −12395.6 | + | 15543.6i | −0.180578 | + | 0.226438i | ||||
\(263\) | −35817.9 | − | 116119.i | −0.517832 | − | 1.67877i | −0.715591 | − | 0.698520i | \(-0.753843\pi\) |
0.197759 | − | 0.980251i | \(-0.436634\pi\) | |||||||
\(264\) | 55403.9 | + | 95962.4i | 0.794937 | + | 1.37687i | ||||
\(265\) | 71795.9 | + | 41451.4i | 1.02237 | + | 0.590266i | ||||
\(266\) | 13833.9 | + | 3157.49i | 0.195515 | + | 0.0446250i | ||||
\(267\) | 69742.7 | − | 10512.0i | 0.978310 | − | 0.147456i | ||||
\(268\) | −89170.3 | + | 82737.9i | −1.24151 | + | 1.15195i | ||||
\(269\) | 332.524 | + | 416.973i | 0.00459536 | + | 0.00576239i | 0.784124 | − | 0.620604i | \(-0.213113\pi\) |
−0.779528 | + | 0.626367i | \(0.784541\pi\) | |||||||
\(270\) | −23860.8 | + | 34997.3i | −0.327308 | + | 0.480073i | ||||
\(271\) | 54884.6 | + | 50925.4i | 0.747329 | + | 0.693420i | 0.958837 | − | 0.283956i | \(-0.0916471\pi\) |
−0.211508 | + | 0.977376i | \(0.567838\pi\) | |||||||
\(272\) | 1125.84 | − | 15023.3i | 0.0152174 | − | 0.203062i | ||||
\(273\) | 18391.5 | + | 46860.7i | 0.246770 | + | 0.628759i | ||||
\(274\) | 1574.58 | + | 6898.68i | 0.0209731 | + | 0.0918893i | ||||
\(275\) | 33051.1 | + | 10194.9i | 0.437040 | + | 0.134809i | ||||
\(276\) | −22582.0 | − | 33121.6i | −0.296444 | − | 0.434804i | ||||
\(277\) | −15973.4 | + | 105976.i | −0.208179 | + | 1.38118i | 0.603634 | + | 0.797261i | \(0.293719\pi\) |
−0.811813 | + | 0.583917i | \(0.801519\pi\) | |||||||
\(278\) | −9859.16 | − | 3869.44i | −0.127571 | − | 0.0500677i | ||||
\(279\) | 126759. | + | 61044.1i | 1.62844 | + | 0.784216i | ||||
\(280\) | 9966.83 | − | 20696.3i | 0.127128 | − | 0.263984i | ||||
\(281\) | −40173.0 | + | 102359.i | −0.508770 | + | 1.29633i | 0.413755 | + | 0.910388i | \(0.364217\pi\) |
−0.922525 | + | 0.385937i | \(0.873878\pi\) | |||||||
\(282\) | 31097.6 | + | 4687.21i | 0.391047 | + | 0.0589409i | ||||
\(283\) | 117080. | − | 79823.7i | 1.46187 | − | 0.996688i | 0.468290 | − | 0.883575i | \(-0.344870\pi\) |
0.993582 | − | 0.113113i | \(-0.0360822\pi\) | |||||||
\(284\) | −18848.0 | + | 61103.7i | −0.233684 | + | 0.757584i | ||||
\(285\) | 148482. | − | 33890.0i | 1.82803 | − | 0.417236i | ||||
\(286\) | −16309.0 | + | 6400.82i | −0.199387 | + | 0.0782535i | ||||
\(287\) | −52417.8 | − | 3928.17i | −0.636378 | − | 0.0476900i | ||||
\(288\) | −93162.2 | + | 100405.i | −1.12319 | + | 1.21051i | ||||
\(289\) | −64905.9 | − | 44252.1i | −0.777121 | − | 0.529832i | ||||
\(290\) | 19440.5 | − | 15503.3i | 0.231159 | − | 0.184343i | ||||
\(291\) | −10633.0 | − | 11459.7i | −0.125566 | − | 0.135328i | ||||
\(292\) | −2901.75 | − | 19251.9i | −0.0340326 | − | 0.225791i | ||||
\(293\) | −3906.02 | + | 17113.4i | −0.0454987 | + | 0.199343i | −0.992569 | − | 0.121684i | \(-0.961171\pi\) |
0.947070 | + | 0.321026i | \(0.104028\pi\) | |||||||
\(294\) | 8823.71 | − | 15283.1i | 0.102084 | − | 0.176814i | ||||
\(295\) | −22763.8 | + | 13142.7i | −0.261578 | + | 0.151022i | ||||
\(296\) | 21598.2 | − | 6662.18i | 0.246510 | − | 0.0760384i | ||||
\(297\) | −360209. | − | 287257.i | −4.08359 | − | 3.25655i | ||||
\(298\) | −480.018 | − | 6405.39i | −0.00540536 | − | 0.0721295i | ||||
\(299\) | 11759.9 | − | 5663.28i | 0.131541 | − | 0.0633469i | ||||
\(300\) | 39473.8i | 0.438597i | ||||||||
\(301\) | −17450.4 | + | 64219.1i | −0.192607 | + | 0.708813i | ||||
\(302\) | −30407.6 | −0.333402 | ||||||||
\(303\) | −58462.4 | − | 121398.i | −0.636782 | − | 1.32229i | ||||
\(304\) | 88811.7 | − | 6655.52i | 0.960999 | − | 0.0720169i | ||||
\(305\) | 27268.8 | − | 34194.0i | 0.293135 | − | 0.367579i | ||||
\(306\) | −3998.43 | − | 12962.6i | −0.0427018 | − | 0.138436i | ||||
\(307\) | 25366.9 | + | 43936.8i | 0.269148 | + | 0.466178i | 0.968642 | − | 0.248461i | \(-0.0799246\pi\) |
−0.699494 | + | 0.714638i | \(0.746591\pi\) | |||||||
\(308\) | 105076. | + | 60665.9i | 1.10765 | + | 0.639504i | ||||
\(309\) | 158003. | + | 36063.2i | 1.65481 | + | 0.377701i | ||||
\(310\) | 14034.6 | − | 2115.38i | 0.146042 | − | 0.0220123i | ||||
\(311\) | −64883.7 | + | 60203.3i | −0.670834 | + | 0.622443i | −0.940211 | − | 0.340592i | \(-0.889373\pi\) |
0.269377 | + | 0.963035i | \(0.413182\pi\) | |||||||
\(312\) | −25672.8 | − | 32192.7i | −0.263733 | − | 0.330711i | ||||
\(313\) | 89173.5 | − | 130794.i | 0.910222 | − | 1.33505i | −0.0317982 | − | 0.999494i | \(-0.510123\pi\) |
0.942020 | − | 0.335556i | \(-0.108924\pi\) | |||||||
\(314\) | −12942.6 | − | 12009.0i | −0.131269 | − | 0.121800i | ||||
\(315\) | −11860.8 | + | 158272.i | −0.119535 | + | 1.59508i | ||||
\(316\) | −46568.6 | − | 118655.i | −0.466357 | − | 1.18826i | ||||
\(317\) | 1949.25 | + | 8540.24i | 0.0193977 | + | 0.0849868i | 0.983700 | − | 0.179816i | \(-0.0575503\pi\) |
−0.964303 | + | 0.264803i | \(0.914693\pi\) | |||||||
\(318\) | 58323.2 | + | 17990.3i | 0.576749 | + | 0.177903i | ||||
\(319\) | 152357. | + | 223466.i | 1.49720 | + | 2.19599i | ||||
\(320\) | 8994.36 | − | 59673.7i | 0.0878355 | − | 0.582751i | ||||
\(321\) | −258430. | − | 101426.i | −2.50804 | − | 0.984331i | ||||
\(322\) | 4830.05 | + | 2326.03i | 0.0465843 | + | 0.0224338i | ||||
\(323\) | −12735.3 | + | 26445.1i | −0.122068 | + | 0.253478i | ||||
\(324\) | 101183. | − | 257811.i | 0.963871 | − | 2.45590i | ||||
\(325\) | −12709.2 | − | 1915.61i | −0.120324 | − | 0.0181359i | ||||
\(326\) | 17452.1 | − | 11898.6i | 0.164215 | − | 0.111960i | ||||
\(327\) | −61185.6 | + | 198359.i | −0.572208 | + | 1.85505i | ||||
\(328\) | 41917.4 | − | 9567.36i | 0.389624 | − | 0.0889292i | ||||
\(329\) | 66011.8 | − | 25907.7i | 0.609859 | − | 0.239352i | ||||
\(330\) | −77019.1 | − | 5771.79i | −0.707246 | − | 0.0530008i | ||||
\(331\) | 78427.4 | − | 84524.6i | 0.715833 | − | 0.771484i | −0.265436 | − | 0.964129i | \(-0.585516\pi\) |
0.981269 | + | 0.192644i | \(0.0617063\pi\) | |||||||
\(332\) | 20328.0 | + | 13859.4i | 0.184425 | + | 0.125739i | ||||
\(333\) | −122097. | + | 97368.8i | −1.10107 | + | 0.878074i | ||||
\(334\) | −3786.84 | − | 4081.25i | −0.0339457 | − | 0.0365847i | ||||
\(335\) | −26023.2 | − | 172653.i | −0.231884 | − | 1.53845i | ||||
\(336\) | −28877.0 | + | 126518.i | −0.255784 | + | 1.12066i | ||||
\(337\) | −13586.8 | + | 23533.0i | −0.119635 | + | 0.207213i | −0.919623 | − | 0.392802i | \(-0.871506\pi\) |
0.799988 | + | 0.600016i | \(0.204839\pi\) | |||||||
\(338\) | −17772.1 | + | 10260.7i | −0.155563 | + | 0.0898143i | ||||
\(339\) | −182951. | + | 56432.8i | −1.59197 | + | 0.491058i | ||||
\(340\) | 18040.1 | + | 14386.5i | 0.156056 | + | 0.124451i | ||||
\(341\) | 11536.8 | + | 153948.i | 0.0992152 | + | 1.32393i | ||||
\(342\) | 72250.7 | − | 34794.1i | 0.617718 | − | 0.297477i | ||||
\(343\) | − | 126208.i | − | 1.07275i | ||||||
\(344\) | −1843.49 | − | 54401.5i | −0.0155785 | − | 0.459721i | ||||
\(345\) | 57540.3 | 0.483430 | ||||||||
\(346\) | 16074.3 | + | 33378.6i | 0.134270 | + | 0.278815i | ||||
\(347\) | −43198.0 | + | 3237.24i | −0.358761 | + | 0.0268854i | −0.252891 | − | 0.967495i | \(-0.581382\pi\) |
−0.105869 | + | 0.994380i | \(0.533763\pi\) | |||||||
\(348\) | −192451. | + | 241327.i | −1.58914 | + | 1.99272i | ||||
\(349\) | 22370.2 | + | 72522.4i | 0.183662 | + | 0.595417i | 0.999845 | + | 0.0176233i | \(0.00560996\pi\) |
−0.816183 | + | 0.577794i | \(0.803914\pi\) | |||||||
\(350\) | −2639.45 | − | 4571.67i | −0.0215466 | − | 0.0373197i | ||||
\(351\) | 148268. | + | 85602.4i | 1.20346 | + | 0.694819i | ||||
\(352\) | −146526. | − | 33443.5i | −1.18257 | − | 0.269915i | ||||
\(353\) | 208912. | − | 31488.5i | 1.67654 | − | 0.252698i | 0.759218 | − | 0.650837i | \(-0.225582\pi\) |
0.917325 | + | 0.398139i | \(0.130344\pi\) | |||||||
\(354\) | −14185.9 | + | 13162.6i | −0.113201 | + | 0.105035i | ||||
\(355\) | −57226.7 | − | 71760.0i | −0.454090 | − | 0.569411i | ||||
\(356\) | −35584.6 | + | 52193.1i | −0.280778 | + | 0.411825i | ||||
\(357\) | −31351.9 | − | 29090.3i | −0.245996 | − | 0.228251i | ||||
\(358\) | −3425.03 | + | 45703.9i | −0.0267238 | + | 0.356605i | ||||
\(359\) | −3106.29 | − | 7914.69i | −0.0241020 | − | 0.0614108i | 0.918316 | − | 0.395848i | \(-0.129549\pi\) |
−0.942418 | + | 0.334437i | \(0.891454\pi\) | |||||||
\(360\) | −28887.9 | − | 126566.i | −0.222901 | − | 0.976591i | ||||
\(361\) | −41275.9 | − | 12731.9i | −0.316725 | − | 0.0976966i | ||||
\(362\) | 1065.00 | + | 1562.06i | 0.00812700 | + | 0.0119201i | ||||
\(363\) | 88409.2 | − | 586557.i | 0.670941 | − | 4.45140i | ||||
\(364\) | −41970.1 | − | 16472.0i | −0.316765 | − | 0.124321i | ||||
\(365\) | 25178.3 | + | 12125.2i | 0.188991 | + | 0.0910132i | ||||
\(366\) | 13970.7 | − | 29010.5i | 0.104293 | − | 0.216567i | ||||
\(367\) | 72499.3 | − | 184725.i | 0.538272 | − | 1.37150i | −0.360369 | − | 0.932810i | \(-0.617349\pi\) |
0.898641 | − | 0.438685i | \(-0.144556\pi\) | |||||||
\(368\) | 33272.0 | + | 5014.95i | 0.245688 | + | 0.0370315i | ||||
\(369\) | −245450. | + | 167345.i | −1.80264 | + | 1.22902i | ||||
\(370\) | −4643.66 | + | 15054.4i | −0.0339201 | + | 0.109966i | ||||
\(371\) | 134176. | − | 30624.8i | 0.974827 | − | 0.222498i | ||||
\(372\) | −164009. | + | 64368.9i | −1.18517 | + | 0.465147i | ||||
\(373\) | −25999.1 | − | 1948.36i | −0.186870 | − | 0.0140040i | −0.0190338 | − | 0.999819i | \(-0.506059\pi\) |
−0.167836 | + | 0.985815i | \(0.553678\pi\) | |||||||
\(374\) | 10124.4 | − | 10911.5i | 0.0723810 | − | 0.0780082i | ||||
\(375\) | −235621. | − | 160644.i | −1.67553 | − | 1.14235i | ||||
\(376\) | −45349.2 | + | 36164.8i | −0.320770 | + | 0.255806i | ||||
\(377\) | −68359.6 | − | 73674.1i | −0.480969 | − | 0.518361i | ||||
\(378\) | 10480.3 | + | 69532.0i | 0.0733481 | + | 0.486633i | ||||
\(379\) | 2581.43 | − | 11310.0i | 0.0179714 | − | 0.0787377i | −0.965147 | − | 0.261708i | \(-0.915714\pi\) |
0.983118 | + | 0.182971i | \(0.0585713\pi\) | |||||||
\(380\) | −68202.6 | + | 118130.i | −0.472317 | + | 0.818078i | ||||
\(381\) | 43249.6 | − | 24970.2i | 0.297942 | − | 0.172017i | ||||
\(382\) | −11270.7 | + | 3476.55i | −0.0772368 | + | 0.0238244i | ||||
\(383\) | 64329.9 | + | 51301.4i | 0.438546 | + | 0.349729i | 0.817739 | − | 0.575589i | \(-0.195227\pi\) |
−0.379193 | + | 0.925318i | \(0.623798\pi\) | |||||||
\(384\) | −16898.5 | − | 225495.i | −0.114600 | − | 1.52923i | ||||
\(385\) | −156910. | + | 75563.8i | −1.05859 | + | 0.509791i | ||||
\(386\) | 16435.8i | 0.110310i | ||||||||
\(387\) | 149180. | + | 345241.i | 0.996069 | + | 2.30516i | ||||
\(388\) | 14001.3 | 0.0930048 | ||||||||
\(389\) | 4726.66 | + | 9815.01i | 0.0312360 | + | 0.0648622i | 0.916003 | − | 0.401171i | \(-0.131397\pi\) |
−0.884767 | + | 0.466034i | \(0.845683\pi\) | |||||||
\(390\) | 28620.2 | − | 2144.79i | 0.188167 | − | 0.0141012i | ||||
\(391\) | −6914.09 | + | 8670.00i | −0.0452253 | + | 0.0567108i | ||||
\(392\) | 9593.88 | + | 31102.6i | 0.0624341 | + | 0.202406i | ||||
\(393\) | 177122. | + | 306784.i | 1.14680 | + | 1.98631i | ||||
\(394\) | 7294.05 | + | 4211.22i | 0.0469868 | + | 0.0271279i | ||||
\(395\) | 178374. | + | 40712.8i | 1.14324 | + | 0.260938i | ||||
\(396\) | 678045. | − | 102199.i | 4.32382 | − | 0.651711i | ||||
\(397\) | −194635. | + | 180594.i | −1.23492 | + | 1.14584i | −0.250856 | + | 0.968024i | \(0.580712\pi\) |
−0.984064 | + | 0.177814i | \(0.943097\pi\) | |||||||
\(398\) | 20323.5 | + | 25484.9i | 0.128302 | + | 0.160885i | ||||
\(399\) | 142426. | − | 208901.i | 0.894630 | − | 1.31218i | ||||
\(400\) | −24288.1 | − | 22536.1i | −0.151801 | − | 0.140851i | ||||
\(401\) | −9631.14 | + | 128519.i | −0.0598948 | + | 0.799240i | 0.883682 | + | 0.468087i | \(0.155057\pi\) |
−0.943577 | + | 0.331153i | \(0.892562\pi\) | |||||||
\(402\) | −46963.2 | − | 119660.i | −0.290607 | − | 0.740454i | ||||
\(403\) | −12765.5 | − | 55929.1i | −0.0786007 | − | 0.344372i | ||||
\(404\) | 115318. | + | 35570.9i | 0.706536 | + | 0.217938i | ||||
\(405\) | 223940. | + | 328460.i | 1.36528 | + | 2.00250i | ||||
\(406\) | 6152.29 | − | 40817.8i | 0.0373237 | − | 0.247627i | ||||
\(407\) | −159515. | − | 62605.1i | −0.962971 | − | 0.377938i | ||||
\(408\) | 31518.5 | + | 15178.5i | 0.189341 | + | 0.0911819i | ||||
\(409\) | 30165.6 | − | 62639.6i | 0.180329 | − | 0.374457i | −0.791136 | − | 0.611640i | \(-0.790510\pi\) |
0.971465 | + | 0.237183i | \(0.0762242\pi\) | |||||||
\(410\) | −10948.7 | + | 27896.9i | −0.0651323 | + | 0.165954i | ||||
\(411\) | 124675. | + | 18791.7i | 0.738067 | + | 0.111246i | ||||
\(412\) | −119930. | + | 81767.2i | −0.706537 | + | 0.481709i | ||||
\(413\) | −12862.0 | + | 41697.7i | −0.0754066 | + | 0.244462i | ||||
\(414\) | 29537.7 | − | 6741.78i | 0.172336 | − | 0.0393345i | ||||
\(415\) | −32873.5 | + | 12901.9i | −0.190875 | + | 0.0749131i | ||||
\(416\) | 55692.8 | + | 4173.60i | 0.321820 | + | 0.0241171i | ||||
\(417\) | −128361. | + | 138340.i | −0.738176 | + | 0.795564i | ||||
\(418\) | 72704.1 | + | 49568.8i | 0.416108 | + | 0.283698i | ||||
\(419\) | −70646.1 | + | 56338.4i | −0.402402 | + | 0.320905i | −0.803691 | − | 0.595047i | \(-0.797134\pi\) |
0.401289 | + | 0.915951i | \(0.368562\pi\) | |||||||
\(420\) | −135190. | − | 145700.i | −0.766384 | − | 0.825966i | ||||
\(421\) | 1712.34 | + | 11360.7i | 0.00966111 | + | 0.0640973i | 0.993142 | − | 0.116915i | \(-0.0373006\pi\) |
−0.983481 | + | 0.181013i | \(0.942063\pi\) | |||||||
\(422\) | −2528.09 | + | 11076.3i | −0.0141961 | + | 0.0621970i | ||||
\(423\) | 200384. | − | 347075.i | 1.11991 | − | 1.93973i | ||||
\(424\) | −97489.9 | + | 56285.8i | −0.542285 | + | 0.313088i | ||||
\(425\) | 10434.5 | − | 3218.62i | 0.0577689 | − | 0.0178193i | ||||
\(426\) | −52831.2 | − | 42131.5i | −0.291120 | − | 0.232160i | ||||
\(427\) | −5425.83 | − | 72402.7i | −0.0297585 | − | 0.397099i | ||||
\(428\) | 224023. | − | 107884.i | 1.22294 | − | 0.588937i | ||||
\(429\) | 312177.i | 1.69624i | ||||||||
\(430\) | 32053.9 | + | 20298.8i | 0.173358 | + | 0.109782i | ||||
\(431\) | −146391. | −0.788063 | −0.394031 | − | 0.919097i | \(-0.628920\pi\) | ||||
−0.394031 | + | 0.919097i | \(0.628920\pi\) | |||||||
\(432\) | 191493. | + | 397638.i | 1.02609 | + | 2.13069i | ||||
\(433\) | 150542. | − | 11281.5i | 0.802935 | − | 0.0601717i | 0.333061 | − | 0.942905i | \(-0.391918\pi\) |
0.469874 | + | 0.882734i | \(0.344299\pi\) | |||||||
\(434\) | 14690.7 | − | 18421.5i | 0.0779943 | − | 0.0978017i | ||||
\(435\) | −130593. | − | 423371.i | −0.690145 | − | 2.23740i | ||||
\(436\) | −92958.3 | − | 161009.i | −0.489007 | − | 0.846986i | ||||
\(437\) | −56772.9 | − | 32777.8i | −0.297289 | − | 0.171640i | ||||
\(438\) | 20058.5 | + | 4578.21i | 0.104556 | + | 0.0238642i | ||||
\(439\) | −35538.2 | + | 5356.52i | −0.184402 | + | 0.0277942i | −0.240594 | − | 0.970626i | \(-0.577342\pi\) |
0.0561918 | + | 0.998420i | \(0.482104\pi\) | |||||||
\(440\) | 104424. | − | 96891.5i | 0.539381 | − | 0.500472i | ||||
\(441\) | −140216. | − | 175825.i | −0.720975 | − | 0.904075i | ||||
\(442\) | −3115.86 | + | 4570.13i | −0.0159490 | + | 0.0233929i | ||||
\(443\) | 24172.6 | + | 22428.9i | 0.123173 | + | 0.114288i | 0.739355 | − | 0.673316i | \(-0.235131\pi\) |
−0.616181 | + | 0.787604i | \(0.711321\pi\) | |||||||
\(444\) | 14614.8 | − | 195021.i | 0.0741356 | − | 0.989270i | ||||
\(445\) | −33126.2 | − | 84404.1i | −0.167283 | − | 0.426230i | ||||
\(446\) | −8125.84 | − | 35601.6i | −0.0408506 | − | 0.178978i | ||||
\(447\) | −109368. | − | 33735.5i | −0.547361 | − | 0.168839i | ||||
\(448\) | −56435.1 | − | 82775.1i | −0.281186 | − | 0.412424i | ||||
\(449\) | −41398.4 | + | 274660.i | −0.205348 | + | 1.36240i | 0.614093 | + | 0.789233i | \(0.289522\pi\) |
−0.819442 | + | 0.573163i | \(0.805716\pi\) | |||||||
\(450\) | −27771.3 | − | 10899.4i | −0.137142 | − | 0.0538244i | ||||
\(451\) | −293689. | − | 141433.i | −1.44389 | − | 0.695342i | ||||
\(452\) | 74400.2 | − | 154494.i | 0.364164 | − | 0.756195i | ||||
\(453\) | −197945. | + | 504355.i | −0.964601 | + | 2.45776i | ||||
\(454\) | 10562.8 | + | 1592.09i | 0.0512471 | + | 0.00772426i | ||||
\(455\) | 53471.2 | − | 36456.1i | 0.258284 | − | 0.176095i | ||||
\(456\) | −60956.7 | + | 197617.i | −0.293151 | + | 0.950374i | ||||
\(457\) | −109828. | + | 25067.4i | −0.525871 | + | 0.120027i | −0.477211 | − | 0.878789i | \(-0.658352\pi\) |
−0.0486601 | + | 0.998815i | \(0.515495\pi\) | |||||||
\(458\) | −86513.7 | + | 33954.1i | −0.412433 | + | 0.161868i | ||||
\(459\) | −145048. | − | 10869.8i | −0.688471 | − | 0.0515938i | ||||
\(460\) | −35052.7 | + | 37777.8i | −0.165655 | + | 0.178534i | ||||
\(461\) | 3852.24 | + | 2626.41i | 0.0181264 | + | 0.0123584i | 0.572349 | − | 0.820010i | \(-0.306032\pi\) |
−0.554223 | + | 0.832368i | \(0.686985\pi\) | |||||||
\(462\) | −100245. | + | 79942.5i | −0.469653 | + | 0.374536i | ||||
\(463\) | 115362. | + | 124331.i | 0.538146 | + | 0.579984i | 0.942326 | − | 0.334696i | \(-0.108634\pi\) |
−0.404180 | + | 0.914679i | \(0.632443\pi\) | |||||||
\(464\) | −38614.7 | − | 256192.i | −0.179356 | − | 1.18995i | ||||
\(465\) | 56274.8 | − | 246556.i | 0.260260 | − | 1.14027i | ||||
\(466\) | −2142.84 | + | 3711.50i | −0.00986774 | + | 0.0170914i | ||||
\(467\) | 143537. | − | 82871.3i | 0.658160 | − | 0.379989i | −0.133416 | − | 0.991060i | \(-0.542595\pi\) |
0.791575 | + | 0.611072i | \(0.209261\pi\) | |||||||
\(468\) | −243486. | + | 75105.5i | −1.11169 | + | 0.342910i | ||||
\(469\) | −226620. | − | 180723.i | −1.03027 | − | 0.821615i | ||||
\(470\) | −3021.32 | − | 40316.7i | −0.0136773 | − | 0.182511i | ||||
\(471\) | −283440. | + | 136497.i | −1.27767 | + | 0.615293i | ||||
\(472\) | − | 35692.3i | − | 0.160210i | ||||||
\(473\) | −246229. | + | 331178.i | −1.10057 | + | 1.48026i | ||||
\(474\) | 134700. | 0.599531 | ||||||||
\(475\) | 28008.3 | + | 58159.7i | 0.124136 | + | 0.257772i | ||||
\(476\) | 38198.3 | − | 2862.57i | 0.168589 | − | 0.0126340i | ||||
\(477\) | 484946. | − | 608104.i | 2.13136 | − | 2.67264i | ||||
\(478\) | 8560.71 | + | 27753.1i | 0.0374674 | + | 0.121466i | ||||
\(479\) | 177000. | + | 306574.i | 0.771442 | + | 1.33618i | 0.936773 | + | 0.349938i | \(0.113798\pi\) |
−0.165331 | + | 0.986238i | \(0.552869\pi\) | |||||||
\(480\) | 213218. | + | 123101.i | 0.925424 | + | 0.534294i | ||||
\(481\) | 62080.9 | + | 14169.6i | 0.268329 | + | 0.0612444i | ||||
\(482\) | −45726.4 | + | 6892.14i | −0.196822 | + | 0.0296661i | ||||
\(483\) | 70022.9 | − | 64971.8i | 0.300155 | − | 0.278503i | ||||
\(484\) | 331244. | + | 415367.i | 1.41402 | + | 1.77313i | ||||
\(485\) | −11321.1 | + | 16605.0i | −0.0481289 | + | 0.0705921i | ||||
\(486\) | 98537.9 | + | 91429.9i | 0.417187 | + | 0.387093i | ||||
\(487\) | 26288.5 | − | 350795.i | 0.110843 | − | 1.47909i | −0.613522 | − | 0.789677i | \(-0.710248\pi\) |
0.724365 | − | 0.689417i | \(-0.242133\pi\) | |||||||
\(488\) | 21696.8 | + | 55282.5i | 0.0911078 | + | 0.232139i | ||||
\(489\) | −83748.4 | − | 366926.i | −0.350235 | − | 1.53448i | ||||
\(490\) | −21679.1 | − | 6687.11i | −0.0902919 | − | 0.0278514i | ||||
\(491\) | −100854. | − | 147925.i | −0.418339 | − | 0.613591i | 0.557998 | − | 0.829842i | \(-0.311570\pi\) |
−0.976338 | + | 0.216251i | \(0.930617\pi\) | |||||||
\(492\) | 55446.4 | − | 367863.i | 0.229057 | − | 1.51969i | ||||
\(493\) | 79484.5 | + | 31195.4i | 0.327031 | + | 0.128350i | ||||
\(494\) | −29460.3 | − | 14187.3i | −0.120721 | − | 0.0581362i | ||||
\(495\) | −427047. | + | 886771.i | −1.74287 | + | 3.61911i | ||||
\(496\) | 54029.0 | − | 137664.i | 0.219616 | − | 0.559572i | ||||
\(497\) | −150669. | − | 22709.7i | −0.609975 | − | 0.0919389i | ||||
\(498\) | −21481.7 | + | 14646.0i | −0.0866184 | + | 0.0590554i | ||||
\(499\) | 4044.10 | − | 13110.6i | 0.0162413 | − | 0.0526529i | −0.947089 | − | 0.320970i | \(-0.895991\pi\) |
0.963331 | + | 0.268317i | \(0.0864674\pi\) | |||||||
\(500\) | 249007. | − | 56834.1i | 0.996027 | − | 0.227337i | ||||
\(501\) | −92344.8 | + | 36242.7i | −0.367906 | + | 0.144392i | ||||
\(502\) | 31295.3 | + | 2345.26i | 0.124186 | + | 0.00930642i | ||||
\(503\) | −101321. | + | 109198.i | −0.400463 | + | 0.431596i | −0.900800 | − | 0.434234i | \(-0.857019\pi\) |
0.500337 | + | 0.865831i | \(0.333209\pi\) | |||||||
\(504\) | −178067. | − | 121404.i | −0.701009 | − | 0.477940i | ||||
\(505\) | −135429. | + | 108001.i | −0.531043 | + | 0.423492i | ||||
\(506\) | 22612.2 | + | 24370.2i | 0.0883166 | + | 0.0951827i | ||||
\(507\) | 54498.2 | + | 361572.i | 0.212015 | + | 1.40663i | ||||
\(508\) | −9952.98 | + | 43606.8i | −0.0385679 | + | 0.168977i | ||||
\(509\) | 225059. | − | 389814.i | 0.868683 | − | 1.50460i | 0.00534015 | − | 0.999986i | \(-0.498300\pi\) |
0.863343 | − | 0.504618i | \(-0.168366\pi\) | |||||||
\(510\) | −21116.9 | + | 12191.9i | −0.0811877 | + | 0.0468738i | ||||
\(511\) | 44331.7 | − | 13674.5i | 0.169774 | − | 0.0523685i | ||||
\(512\) | 191298. | + | 152555.i | 0.729743 | + | 0.581951i | ||||
\(513\) | −64258.0 | − | 857463.i | −0.244170 | − | 3.25822i | ||||
\(514\) | −26007.4 | + | 12524.5i | −0.0984398 | + | 0.0474061i | ||||
\(515\) | − | 208348.i | − | 0.785552i | ||||||
\(516\) | −443999. | − | 157121.i | −1.66756 | − | 0.590114i | ||||
\(517\) | 439758. | 1.64525 | ||||||||
\(518\) | 11347.7 | + | 23563.6i | 0.0422909 | + | 0.0878179i | ||||
\(519\) | 658273. | − | 49330.7i | 2.44383 | − | 0.183140i | ||||
\(520\) | −33004.2 | + | 41386.0i | −0.122057 | + | 0.153055i | ||||
\(521\) | −6512.89 | − | 21114.3i | −0.0239937 | − | 0.0777858i | 0.942784 | − | 0.333404i | \(-0.108197\pi\) |
−0.966778 | + | 0.255618i | \(0.917721\pi\) | |||||||
\(522\) | −116643. | − | 202032.i | −0.428073 | − | 0.741445i | ||||
\(523\) | −468671. | − | 270587.i | −1.71342 | − | 0.989246i | −0.929844 | − | 0.367954i | \(-0.880058\pi\) |
−0.783580 | − | 0.621291i | \(-0.786608\pi\) | |||||||
\(524\) | −309318. | − | 70599.8i | −1.12653 | − | 0.257123i | ||||
\(525\) | −93010.0 | + | 14019.0i | −0.337451 | + | 0.0508626i | ||||
\(526\) | −84309.7 | + | 78228.0i | −0.304724 | + | 0.282742i | ||||
\(527\) | 30388.3 | + | 38105.7i | 0.109417 | + | 0.137205i | ||||
\(528\) | −453335. | + | 664920.i | −1.62611 | + | 2.38507i | ||||
\(529\) | 186982. | + | 173494.i | 0.668173 | + | 0.619974i | ||||
\(530\) | 5863.66 | − | 78245.1i | 0.0208745 | − | 0.278551i | ||||
\(531\) | 90096.6 | + | 229562.i | 0.319536 | + | 0.814163i | ||||
\(532\) | 50389.0 | + | 220768.i | 0.178038 | + | 0.780035i | ||||
\(533\) | 115749. | + | 35703.7i | 0.407438 | + | 0.125678i | ||||
\(534\) | −37604.2 | − | 55155.2i | −0.131872 | − | 0.193421i | ||||
\(535\) | −53193.5 | + | 352916.i | −0.185845 | + | 1.23300i | ||||
\(536\) | 220700. | + | 86618.2i | 0.768196 | + | 0.301495i | ||||
\(537\) | 735771. | + | 354329.i | 2.55149 | + | 1.22873i | ||||
\(538\) | 219.014 | − | 454.787i | 0.000756671 | − | 0.00157124i | ||||
\(539\) | 90154.5 | − | 229710.i | 0.310320 | − | 0.790683i | ||||
\(540\) | −668414. | − | 100747.i | −2.29223 | − | 0.345498i | ||||
\(541\) | −43609.1 | + | 29732.2i | −0.148999 | + | 0.101586i | −0.635525 | − | 0.772080i | \(-0.719216\pi\) |
0.486526 | + | 0.873666i | \(0.338264\pi\) | |||||||
\(542\) | 20887.2 | − | 67714.8i | 0.0711021 | − | 0.230507i | ||||
\(543\) | 32841.9 | − | 7495.95i | 0.111386 | − | 0.0254230i | ||||
\(544\) | −44169.0 | + | 17335.1i | −0.149252 | + | 0.0585770i | ||||
\(545\) | 266114. | + | 19942.5i | 0.895932 | + | 0.0671408i | ||||
\(546\) | 32407.2 | − | 34926.7i | 0.108707 | − | 0.117158i | ||||
\(547\) | −45444.3 | − | 30983.4i | −0.151882 | − | 0.103551i | 0.484995 | − | 0.874517i | \(-0.338821\pi\) |
−0.636876 | + | 0.770966i | \(0.719774\pi\) | |||||||
\(548\) | −88287.8 | + | 70407.2i | −0.293995 | + | 0.234453i | ||||
\(549\) | −279095. | − | 300793.i | −0.925992 | − | 0.997982i | ||||
\(550\) | −4879.06 | − | 32370.5i | −0.0161291 | − | 0.107010i | ||||
\(551\) | −112323. | + | 492117.i | −0.369968 | + | 1.62093i | ||||
\(552\) | −39066.2 | + | 67664.7i | −0.128210 | + | 0.222067i | ||||
\(553\) | 263041. | − | 151867.i | 0.860149 | − | 0.496607i | ||||
\(554\) | 96929.3 | − | 29898.7i | 0.315817 | − | 0.0974167i | ||||
\(555\) | 219470. | + | 175022.i | 0.712508 | + | 0.568206i | ||||
\(556\) | −12631.0 | − | 168549.i | −0.0408591 | − | 0.545227i | ||||
\(557\) | −268763. | + | 129430.i | −0.866282 | + | 0.417179i | −0.813595 | − | 0.581432i | \(-0.802493\pi\) |
−0.0526868 | + | 0.998611i | \(0.516778\pi\) | |||||||
\(558\) | − | 133160.i | − | 0.427667i | ||||||
\(559\) | 72134.4 | − | 135328.i | 0.230844 | − | 0.433075i | ||||
\(560\) | 166831. | 0.531987 | ||||||||
\(561\) | −115076. | − | 238958.i | −0.365645 | − | 0.759270i | ||||
\(562\) | 103782. | − | 7777.42i | 0.328588 | − | 0.0246242i | ||||
\(563\) | 150378. | − | 188568.i | 0.474425 | − | 0.594910i | −0.485823 | − | 0.874057i | \(-0.661480\pi\) |
0.960248 | + | 0.279147i | \(0.0900516\pi\) | |||||||
\(564\) | 147931. | + | 479582.i | 0.465053 | + | 1.50766i | ||||
\(565\) | 123066. | + | 213156.i | 0.385513 | + | 0.667729i | ||||
\(566\) | −116148. | − | 67058.0i | −0.362559 | − | 0.209323i | ||||
\(567\) | 643402. | + | 146852.i | 2.00132 | + | 0.456788i | ||||
\(568\) | 123240. | − | 18575.4i | 0.381992 | − | 0.0575760i | ||||
\(569\) | 148173. | − | 137484.i | 0.457661 | − | 0.424647i | −0.417353 | − | 0.908744i | \(-0.637042\pi\) |
0.875014 | + | 0.484097i | \(0.160852\pi\) | |||||||
\(570\) | −89874.0 | − | 112698.i | −0.276621 | − | 0.346871i | ||||
\(571\) | 56476.6 | − | 82836.0i | 0.173219 | − | 0.254066i | −0.729805 | − | 0.683655i | \(-0.760389\pi\) |
0.903025 | + | 0.429589i | \(0.141342\pi\) | |||||||
\(572\) | −204959. | − | 190174.i | −0.626432 | − | 0.581244i | ||||
\(573\) | −15705.3 | + | 209573.i | −0.0478341 | + | 0.638301i | ||||
\(574\) | 18176.0 | + | 46311.6i | 0.0551663 | + | 0.140561i | ||||
\(575\) | 5426.94 | + | 23777.0i | 0.0164142 | + | 0.0719152i | ||||
\(576\) | −541028. | − | 166885.i | −1.63070 | − | 0.503005i | ||||
\(577\) | 700.072 | + | 1026.82i | 0.00210277 | + | 0.00308419i | 0.827289 | − | 0.561777i | \(-0.189882\pi\) |
−0.825186 | + | 0.564861i | \(0.808930\pi\) | |||||||
\(578\) | −11081.3 | + | 73519.9i | −0.0331693 | + | 0.220064i | ||||
\(579\) | 272612. | + | 106992.i | 0.813181 | + | 0.319150i | ||||
\(580\) | 357518. | + | 172171.i | 1.06278 | + | 0.511806i | ||||
\(581\) | −25436.8 | + | 52820.0i | −0.0753546 | + | 0.156475i | ||||
\(582\) | −5405.56 | + | 13773.1i | −0.0159586 | + | 0.0406618i | ||||
\(583\) | 843932. | + | 127202.i | 2.48296 | + | 0.374246i | ||||
\(584\) | −31353.2 | + | 21376.3i | −0.0919298 | + | 0.0626767i | ||||
\(585\) | 107805. | − | 349494.i | 0.315011 | − | 1.02124i | ||||
\(586\) | 16197.2 | − | 3696.91i | 0.0471677 | − | 0.0107657i | ||||
\(587\) | −362347. | + | 142211.i | −1.05159 | + | 0.412720i | −0.827276 | − | 0.561796i | \(-0.810111\pi\) |
−0.224318 | + | 0.974516i | \(0.572016\pi\) | |||||||
\(588\) | 280840. | + | 21046.0i | 0.812277 | + | 0.0608718i | ||||
\(589\) | −195975. | + | 211211.i | −0.564898 | + | 0.608815i | ||||
\(590\) | 20555.3 | + | 14014.4i | 0.0590500 | + | 0.0402596i | ||||
\(591\) | 117332. | − | 93568.8i | 0.335923 | − | 0.267890i | ||||
\(592\) | 111652. | + | 120332.i | 0.318584 | + | 0.343352i | ||||
\(593\) | −44110.6 | − | 292655.i | −0.125439 | − | 0.832235i | −0.959733 | − | 0.280914i | \(-0.909362\pi\) |
0.834294 | − | 0.551320i | \(-0.185876\pi\) | |||||||
\(594\) | −97032.3 | + | 425126.i | −0.275007 | + | 1.20488i | ||||
\(595\) | −27491.3 | + | 47616.4i | −0.0776536 | + | 0.134500i | ||||
\(596\) | 88774.1 | − | 51253.8i | 0.249916 | − | 0.144289i | ||||
\(597\) | 555004. | − | 171196.i | 1.55721 | − | 0.480336i | ||||
\(598\) | −9658.55 | − | 7702.43i | −0.0270091 | − | 0.0215390i | ||||
\(599\) | 31923.1 | + | 425984.i | 0.0889716 | + | 1.18724i | 0.845753 | + | 0.533575i | \(0.179152\pi\) |
−0.756781 | + | 0.653668i | \(0.773229\pi\) | |||||||
\(600\) | 69317.6 | − | 33381.6i | 0.192549 | − | 0.0927267i | ||||
\(601\) | 327890.i | 0.907778i | 0.891058 | + | 0.453889i | \(0.149964\pi\) | ||||
−0.891058 | + | 0.453889i | \(0.850036\pi\) | |||||||
\(602\) | 61928.0 | − | 11491.4i | 0.170881 | − | 0.0317087i | ||||
\(603\) | −1.63812e6 | −4.50518 | ||||||||
\(604\) | −210547. | − | 437206.i | −0.577132 | − | 1.19843i | ||||
\(605\) | −760445. | + | 56987.5i | −2.07758 | + | 0.155693i | ||||
\(606\) | −79512.7 | + | 99705.7i | −0.216517 | + | 0.271503i | ||||
\(607\) | −160907. | − | 521649.i | −0.436715 | − | 1.41580i | −0.860230 | − | 0.509907i | \(-0.829680\pi\) |
0.423514 | − | 0.905889i | \(-0.360796\pi\) | |||||||
\(608\) | −140249. | − | 242919.i | −0.379397 | − | 0.657135i | ||||
\(609\) | −636974. | − | 367757.i | −1.71746 | − | 0.991577i | ||||
\(610\) | −40356.5 | − | 9211.12i | −0.108456 | − | 0.0247544i | ||||
\(611\) | −161588. | + | 24355.5i | −0.432840 | + | 0.0652401i | ||||
\(612\) | 158692. | − | 147245.i | 0.423695 | − | 0.393132i | ||||
\(613\) | 64328.6 | + | 80665.5i | 0.171192 | + | 0.214668i | 0.860025 | − | 0.510252i | \(-0.170448\pi\) |
−0.688833 | + | 0.724920i | \(0.741877\pi\) | |||||||
\(614\) | 27049.4 | − | 39674.1i | 0.0717497 | − | 0.105238i | ||||
\(615\) | 391439. | + | 363202.i | 1.03494 | + | 0.960281i | ||||
\(616\) | 17672.4 | − | 235822.i | 0.0465730 | − | 0.621473i | ||||
\(617\) | 28382.4 | + | 72317.2i | 0.0745553 | + | 0.189964i | 0.963293 | − | 0.268452i | \(-0.0865122\pi\) |
−0.888738 | + | 0.458416i | \(0.848417\pi\) | |||||||
\(618\) | −34132.5 | − | 149544.i | −0.0893700 | − | 0.391555i | ||||
\(619\) | −545095. | − | 168139.i | −1.42263 | − | 0.438822i | −0.514489 | − | 0.857497i | \(-0.672019\pi\) |
−0.908136 | + | 0.418675i | \(0.862495\pi\) | |||||||
\(620\) | 127593. | + | 187145.i | 0.331929 | + | 0.486850i | ||||
\(621\) | 48418.6 | − | 321236.i | 0.125554 | − | 0.832993i | ||||
\(622\) | 77982.3 | + | 30605.8i | 0.201565 | + | 0.0791084i | ||||
\(623\) | −135618. | − | 65310.0i | −0.349414 | − | 0.168269i | ||||
\(624\) | 129751. | − | 269431.i | 0.333229 | − | 0.691956i | ||||
\(625\) | −98552.4 | + | 251107.i | −0.252294 | + | 0.642835i | ||||
\(626\) | −148152. | − | 22330.3i | −0.378058 | − | 0.0569830i | ||||
\(627\) | 1.29546e6 | − | 883226.i | 3.29524 | − | 2.24666i | ||||
\(628\) | 83050.5 | − | 269243.i | 0.210583 | − | 0.682693i | ||||
\(629\) | −52743.5 | + | 12038.4i | −0.133312 | + | 0.0304275i | ||||
\(630\) | 139834. | − | 54881.0i | 0.352316 | − | 0.138274i | ||||
\(631\) | −605627. | − | 45385.5i | −1.52106 | − | 0.113988i | −0.712195 | − | 0.701981i | \(-0.752299\pi\) |
−0.808866 | + | 0.587994i | \(0.799918\pi\) | |||||||
\(632\) | −168981. | + | 182119.i | −0.423063 | + | 0.455953i | ||||
\(633\) | 167260. | + | 114036.i | 0.417430 | + | 0.284599i | ||||
\(634\) | 6482.08 | − | 5169.29i | 0.0161264 | − | 0.0128603i | ||||
\(635\) | −43668.4 | − | 47063.3i | −0.108298 | − | 0.116717i | ||||
\(636\) | 145171. | + | 963148.i | 0.358894 | + | 2.38111i | ||||
\(637\) | −20404.9 | + | 89399.7i | −0.0502870 | + | 0.220322i | ||||
\(638\) | 127991. | − | 221687.i | 0.314441 | − | 0.544627i | ||||
\(639\) | −745753. | + | 430561.i | −1.82639 | + | 1.05447i | ||||
\(640\) | −277787. | + | 85685.9i | −0.678191 | + | 0.209194i | ||||
\(641\) | −425940. | − | 339676.i | −1.03665 | − | 0.826701i | −0.0515480 | − | 0.998671i | \(-0.516416\pi\) |
−0.985102 | + | 0.171969i | \(0.944987\pi\) | |||||||
\(642\) | 19636.0 | + | 262024.i | 0.0476412 | + | 0.635727i | ||||
\(643\) | 171269. | − | 82478.6i | 0.414244 | − | 0.199489i | −0.215141 | − | 0.976583i | \(-0.569021\pi\) |
0.629385 | + | 0.777094i | \(0.283307\pi\) | |||||||
\(644\) | 85553.1i | 0.206283i | ||||||||
\(645\) | 545347. | − | 399522.i | 1.31085 | − | 0.960331i | ||||
\(646\) | 27780.4 | 0.0665693 | ||||||||
\(647\) | −13268.8 | − | 27552.9i | −0.0316973 | − | 0.0658202i | 0.884519 | − | 0.466504i | \(-0.154487\pi\) |
−0.916216 | + | 0.400684i | \(0.868772\pi\) | |||||||
\(648\) | −538294. | + | 40339.6i | −1.28195 | + | 0.0960686i | ||||
\(649\) | −168717. | + | 211565.i | −0.400563 | + | 0.502290i | ||||
\(650\) | 3585.60 | + | 11624.2i | 0.00848664 | + | 0.0275130i | ||||
\(651\) | −209916. | − | 363586.i | −0.495318 | − | 0.857917i | ||||
\(652\) | 291922. | + | 168541.i | 0.686707 | + | 0.396471i | ||||
\(653\) | −68926.5 | − | 15732.0i | −0.161644 | − | 0.0368942i | 0.140933 | − | 0.990019i | \(-0.454990\pi\) |
−0.302577 | + | 0.953125i | \(0.597847\pi\) | |||||||
\(654\) | 194274. | − | 29282.1i | 0.454212 | − | 0.0684614i | ||||
\(655\) | 333836. | − | 309754.i | 0.778127 | − | 0.721996i | ||||
\(656\) | 194690. | + | 244134.i | 0.452414 | + | 0.567310i | ||||
\(657\) | 147696. | − | 216630.i | 0.342166 | − | 0.501865i | ||||
\(658\) | −49200.5 | − | 45651.4i | −0.113636 | − | 0.105439i | ||||
\(659\) | −41954.8 | + | 559848.i | −0.0966075 | + | 1.28914i | 0.712581 | + | 0.701589i | \(0.247526\pi\) |
−0.809189 | + | 0.587548i | \(0.800093\pi\) | |||||||
\(660\) | −450305. | − | 1.14736e6i | −1.03376 | − | 2.63397i | ||||
\(661\) | 182490. | + | 799542.i | 0.417673 | + | 1.82995i | 0.545450 | + | 0.838143i | \(0.316359\pi\) |
−0.127776 | + | 0.991803i | \(0.540784\pi\) | |||||||
\(662\) | −104284. | − | 32167.2i | −0.237958 | − | 0.0734003i | ||||
\(663\) | 55519.0 | + | 81431.4i | 0.126303 | + | 0.185253i | ||||
\(664\) | 7147.01 | − | 47417.3i | 0.0162102 | − | 0.107548i | ||||
\(665\) | −302567. | − | 118749.i | −0.684192 | − | 0.268525i | ||||
\(666\) | 133169. | + | 64130.9i | 0.300231 | + | 0.144584i | ||||
\(667\) | −82744.8 | + | 171821.i | −0.185990 | + | 0.386212i | ||||
\(668\) | 32460.1 | − | 82707.1i | 0.0727440 | − | 0.185349i | ||||
\(669\) | −643403. | − | 96977.4i | −1.43758 | − | 0.216680i | ||||
\(670\) | −136540. | + | 93091.6i | −0.304166 | + | 0.207377i | ||||
\(671\) | 132713. | − | 430246.i | 0.294761 | − | 0.955591i | ||||
\(672\) | 398473. | − | 90948.8i | 0.882389 | − | 0.201400i | ||||
\(673\) | 423383. | − | 166166.i | 0.934768 | − | 0.366869i | 0.151432 | − | 0.988468i | \(-0.451612\pi\) |
0.783336 | + | 0.621599i | \(0.213516\pi\) | |||||||
\(674\) | 25646.9 | + | 1921.97i | 0.0564566 | + | 0.00423084i | ||||
\(675\) | −217583. | + | 234498.i | −0.477548 | + | 0.514674i | ||||
\(676\) | −270588. | − | 184484.i | −0.592127 | − | 0.403705i | ||||
\(677\) | 533845. | − | 425727.i | 1.16476 | − | 0.928867i | 0.166400 | − | 0.986058i | \(-0.446786\pi\) |
0.998363 | + | 0.0571911i | \(0.0182144\pi\) | |||||||
\(678\) | 123252. | + | 132834.i | 0.268123 | + | 0.288968i | ||||
\(679\) | 4972.53 | + | 32990.6i | 0.0107854 | + | 0.0715567i | ||||
\(680\) | 10007.4 | − | 43845.4i | 0.0216424 | − | 0.0948214i | ||||
\(681\) | 95168.3 | − | 164836.i | 0.205210 | − | 0.355434i | ||||
\(682\) | 126540. | − | 73057.6i | 0.272055 | − | 0.157071i | ||||
\(683\) | 426026. | − | 131412.i | 0.913261 | − | 0.281704i | 0.197707 | − | 0.980261i | \(-0.436651\pi\) |
0.715554 | + | 0.698558i | \(0.246174\pi\) | |||||||
\(684\) | 1.00055e6 | + | 797913.i | 2.13859 | + | 1.70547i | ||||
\(685\) | −12112.9 | − | 161636.i | −0.0258147 | − | 0.344474i | ||||
\(686\) | −107622. | + | 51828.0i | −0.228693 | + | 0.110133i | ||||
\(687\) | 1.65599e6i | 3.50868i | ||||||||
\(688\) | 350161. | − | 183489.i | 0.739761 | − | 0.387644i | ||||
\(689\) | −317146. | −0.668069 | ||||||||
\(690\) | −23629.2 | − | 49066.6i | −0.0496308 | − | 0.103059i | ||||
\(691\) | −744758. | + | 55811.9i | −1.55977 | + | 0.116888i | −0.826454 | − | 0.563004i | \(-0.809645\pi\) |
−0.733312 | + | 0.679893i | \(0.762026\pi\) | |||||||
\(692\) | −368622. | + | 462238.i | −0.769785 | + | 0.965280i | ||||
\(693\) | 481611. | + | 1.56135e6i | 1.00284 | + | 3.25112i | ||||
\(694\) | 20500.0 | + | 35507.0i | 0.0425633 | + | 0.0737217i | ||||
\(695\) | 210106. | + | 121305.i | 0.434980 | + | 0.251136i | ||||
\(696\) | 586529. | + | 133871.i | 1.21080 | + | 0.276356i | ||||
\(697\) | −101762. | + | 15338.1i | −0.209469 | + | 0.0315724i | ||||
\(698\) | 52655.9 | − | 48857.5i | 0.108078 | − | 0.100281i | ||||
\(699\) | 47611.5 | + | 59703.0i | 0.0974446 | + | 0.122192i | ||||
\(700\) | 47456.2 | − | 69605.5i | 0.0968495 | − | 0.142052i | ||||
\(701\) | −22185.0 | − | 20584.7i | −0.0451464 | − | 0.0418898i | 0.657277 | − | 0.753649i | \(-0.271708\pi\) |
−0.702423 | + | 0.711759i | \(0.747899\pi\) | |||||||
\(702\) | 12109.2 | − | 161586.i | 0.0245720 | − | 0.327891i | ||||
\(703\) | −116842. | − | 297709.i | −0.236423 | − | 0.602395i | ||||
\(704\) | −138244. | − | 605688.i | −0.278935 | − | 1.22209i | ||||
\(705\) | −688380. | − | 212337.i | −1.38500 | − | 0.427216i | ||||
\(706\) | −112642. | − | 165216.i | −0.225991 | − | 0.331468i | ||||
\(707\) | −42859.0 | + | 284351.i | −0.0857439 | + | 0.568873i | ||||
\(708\) | −287480. | − | 112827.i | −0.573510 | − | 0.225086i | ||||
\(709\) | 498463. | + | 240047.i | 0.991609 | + | 0.477534i | 0.858083 | − | 0.513512i | \(-0.171656\pi\) |
0.133526 | + | 0.991045i | \(0.457370\pi\) | |||||||
\(710\) | −37691.8 | + | 78267.8i | −0.0747704 | + | 0.155262i | ||||
\(711\) | 627124. | − | 1.59789e6i | 1.24055 | − | 3.16087i | ||||
\(712\) | 121746. | + | 18350.2i | 0.240157 | + | 0.0361978i | ||||
\(713\) | −89941.1 | + | 61320.8i | −0.176921 | + | 0.120623i | ||||
\(714\) | −11931.5 | + | 38681.0i | −0.0234045 | + | 0.0758754i | ||||
\(715\) | 391264. | − | 89303.4i | 0.765345 | − | 0.174685i | ||||
\(716\) | −680854. | + | 267216.i | −1.32809 | + | 0.521238i | ||||
\(717\) | 516055. | + | 38673.0i | 1.00382 | + | 0.0752262i | ||||
\(718\) | −5473.51 | + | 5899.04i | −0.0106174 | + | 0.0114428i | ||||
\(719\) | −458621. | − | 312682.i | −0.887147 | − | 0.604847i | 0.0316837 | − | 0.999498i | \(-0.489913\pi\) |
−0.918831 | + | 0.394651i | \(0.870865\pi\) | |||||||
\(720\) | 737143. | − | 587852.i | 1.42196 | − | 1.13397i | ||||
\(721\) | −235257. | − | 253547.i | −0.452555 | − | 0.487739i | ||||
\(722\) | 6093.21 | + | 40425.8i | 0.0116888 | + | 0.0775504i | ||||
\(723\) | −183349. | + | 803306.i | −0.350754 | + | 1.53675i | ||||
\(724\) | −15085.4 | + | 26128.6i | −0.0287792 | + | 0.0498471i | ||||
\(725\) | 162630. | − | 93894.4i | 0.309403 | − | 0.178634i | ||||
\(726\) | −536483. | + | 165483.i | −1.01785 | + | 0.313964i | ||||
\(727\) | 28647.9 | + | 22845.9i | 0.0542030 | + | 0.0432255i | 0.650217 | − | 0.759749i | \(-0.274678\pi\) |
−0.596014 | + | 0.802974i | \(0.703250\pi\) | |||||||
\(728\) | 6567.04 | + | 87631.0i | 0.0123910 | + | 0.165347i | ||||
\(729\) | 819795. | − | 394793.i | 1.54259 | − | 0.742872i | ||||
\(730\) | − | 26449.7i | − | 0.0496335i | ||||||
\(731\) | −5330.64 | + | 130178.i | −0.00997574 | + | 0.243615i | ||||
\(732\) | 513853. | 0.958997 | ||||||||
\(733\) | −97084.9 | − | 201599.i | −0.180694 | − | 0.375215i | 0.790873 | − | 0.611980i | \(-0.209627\pi\) |
−0.971567 | + | 0.236766i | \(0.923913\pi\) | |||||||
\(734\) | −187294. | + | 14035.7i | −0.347641 | + | 0.0260521i | ||||
\(735\) | −252040. | + | 316049.i | −0.466547 | + | 0.585031i | ||||
\(736\) | −31236.6 | − | 101267.i | −0.0576645 | − | 0.186944i | ||||
\(737\) | −898747. | − | 1.55667e6i | −1.65464 | − | 2.86591i | ||||
\(738\) | 243496. | + | 140582.i | 0.447073 | + | 0.258118i | ||||
\(739\) | −382585. | − | 87322.6i | −0.700551 | − | 0.159896i | −0.142612 | − | 0.989779i | \(-0.545550\pi\) |
−0.557938 | + | 0.829883i | \(0.688407\pi\) | |||||||
\(740\) | −248608. | + | 37471.6i | −0.453996 | + | 0.0684288i | ||||
\(741\) | −427096. | + | 396287.i | −0.777838 | + | 0.721728i | ||||
\(742\) | −81215.0 | − | 101840.i | −0.147512 | − | 0.184975i | ||||
\(743\) | −330866. | + | 485291.i | −0.599341 | + | 0.879072i | −0.999298 | − | 0.0374623i | \(-0.988073\pi\) |
0.399957 | + | 0.916534i | \(0.369025\pi\) | |||||||
\(744\) | 251731. | + | 233573.i | 0.454770 | + | 0.421965i | ||||
\(745\) | −10995.5 | + | 146725.i | −0.0198109 | + | 0.264358i | ||||
\(746\) | 9015.22 | + | 22970.4i | 0.0161994 | + | 0.0412754i | ||||
\(747\) | 73726.1 | + | 323015.i | 0.132124 | + | 0.578871i | ||||
\(748\) | 226990. | + | 70017.1i | 0.405698 | + | 0.125141i | ||||
\(749\) | 333763. | + | 489540.i | 0.594941 | + | 0.872618i | ||||
\(750\) | −40227.4 | + | 266891.i | −0.0715153 | + | 0.474473i | ||||
\(751\) | 923155. | + | 362312.i | 1.63680 | + | 0.642395i | 0.992485 | − | 0.122367i | \(-0.0390486\pi\) |
0.644312 | + | 0.764763i | \(0.277144\pi\) | |||||||
\(752\) | −379542. | − | 182778.i | −0.671157 | − | 0.323212i | ||||
\(753\) | 242623. | − | 503812.i | 0.427899 | − | 0.888542i | ||||
\(754\) | −34752.2 | + | 88547.3i | −0.0611280 | + | 0.155752i | ||||
\(755\) | 688753. | + | 103813.i | 1.20829 | + | 0.182120i | ||||
\(756\) | −927176. | + | 632138.i | −1.62225 | + | 1.10603i | ||||
\(757\) | −90743.7 | + | 294184.i | −0.158352 | + | 0.513366i | −0.999629 | − | 0.0272390i | \(-0.991328\pi\) |
0.841276 | + | 0.540605i | \(0.181805\pi\) | |||||||
\(758\) | −10704.5 | + | 2443.23i | −0.0186306 | + | 0.00425231i | ||||
\(759\) | 551415. | − | 216415.i | 0.957183 | − | 0.375667i | ||||
\(760\) | 265119. | + | 19867.9i | 0.459000 | + | 0.0343973i | ||||
\(761\) | 211491. | − | 227934.i | 0.365194 | − | 0.393585i | −0.523546 | − | 0.851998i | \(-0.675391\pi\) |
0.888740 | + | 0.458412i | \(0.151582\pi\) | |||||||
\(762\) | −39053.6 | − | 26626.3i | −0.0672591 | − | 0.0458565i | ||||
\(763\) | 346362. | − | 276215.i | 0.594952 | − | 0.474458i | ||||
\(764\) | −128027. | − | 137980.i | −0.219338 | − | 0.236390i | ||||
\(765\) | 46312.3 | + | 307262.i | 0.0791360 | + | 0.525033i | ||||
\(766\) | 17329.0 | − | 75923.5i | 0.0295337 | − | 0.129395i | ||||
\(767\) | 50277.6 | − | 87083.4i | 0.0854642 | − | 0.148028i | ||||
\(768\) | 465105. | − | 268528.i | 0.788548 | − | 0.455268i | ||||
\(769\) | 845696. | − | 260863.i | 1.43008 | − | 0.441123i | 0.519509 | − | 0.854465i | \(-0.326115\pi\) |
0.910576 | + | 0.413342i | \(0.135639\pi\) | |||||||
\(770\) | 128872. | + | 102772.i | 0.217358 | + | 0.173337i | ||||
\(771\) | 38436.7 | + | 512902.i | 0.0646602 | + | 0.862831i | ||||
\(772\) | −236316. | + | 113804.i | −0.396514 | + | 0.190951i | ||||
\(773\) | − | 538352.i | − | 0.900965i | −0.892785 | − | 0.450482i | \(-0.851252\pi\) | ||
0.892785 | − | 0.450482i | \(-0.148748\pi\) | |||||||
\(774\) | 233137. | − | 268986.i | 0.389161 | − | 0.449002i | ||||
\(775\) | 107190. | 0.178464 | ||||||||
\(776\) | −11840.4 | − | 24586.9i | −0.0196627 | − | 0.0408301i | ||||
\(777\) | 464708. | − | 34825.0i | 0.769729 | − | 0.0576832i | ||||
\(778\) | 6428.57 | − | 8061.17i | 0.0106207 | − | 0.0133180i | ||||
\(779\) | −179320. | − | 581342.i | −0.295498 | − | 0.957981i | ||||
\(780\) | 229009. | + | 396656.i | 0.376412 | + | 0.651965i | ||||
\(781\) | −818307. | − | 472449.i | −1.34157 | − | 0.774557i | ||||
\(782\) | 10232.5 | + | 2335.50i | 0.0167328 | + | 0.00381915i | ||||
\(783\) | −2.47349e6 | + | 372819.i | −4.03447 | + | 0.608099i | ||||
\(784\) | −173285. | + | 160785.i | −0.281922 | + | 0.261585i | ||||
\(785\) | 252160. | + | 316199.i | 0.409201 | + | 0.513122i | ||||
\(786\) | 188869. | − | 277021.i | 0.305715 | − | 0.448401i | ||||
\(787\) | −79755.7 | − | 74002.5i | −0.128769 | − | 0.119480i | 0.613159 | − | 0.789959i | \(-0.289898\pi\) |
−0.741929 | + | 0.670479i | \(0.766089\pi\) | |||||||
\(788\) | −10044.5 | + | 134034.i | −0.0161761 | + | 0.215856i | ||||
\(789\) | 748695. | + | 1.90764e6i | 1.20268 | + | 3.06438i | ||||
\(790\) | −38533.2 | − | 168825.i | −0.0617420 | − | 0.270509i | ||||
\(791\) | 390448. | + | 120437.i | 0.624037 | + | 0.192490i | ||||
\(792\) | −752864. | − | 1.10425e6i | −1.20024 | − | 1.76042i | ||||
\(793\) | −24936.6 | + | 165443.i | −0.0396543 | + | 0.263089i | ||||
\(794\) | 233927. | + | 91809.5i | 0.371056 | + | 0.145629i | ||||
\(795\) | −1.25964e6 | − | 606611.i | −1.99302 | − | 0.959789i | ||||
\(796\) | −225702. | + | 468676.i | −0.356213 | + | 0.739685i | ||||
\(797\) | −361926. | + | 922172.i | −0.569774 | + | 1.45176i | 0.297885 | + | 0.954602i | \(0.403719\pi\) |
−0.867659 | + | 0.497160i | \(0.834376\pi\) | |||||||
\(798\) | −236625. | − | 35665.4i | −0.371582 | − | 0.0560069i | ||||
\(799\) | 114711. | − | 78208.5i | 0.179685 | − | 0.122507i | ||||
\(800\) | −30758.6 | + | 99716.8i | −0.0480603 | + | 0.155808i | ||||
\(801\) | −829355. | + | 189295.i | −1.29263 | + | 0.295035i | ||||
\(802\) | 113547. | − | 44564.0i | 0.176534 | − | 0.0692845i | ||||
\(803\) | 286891. | + | 21499.5i | 0.444924 | + | 0.0333424i | ||||
\(804\) | 1.39532e6 | − | 1.50379e6i | 2.15854 | − | 2.32635i | ||||
\(805\) | −101463. | − | 69176.2i | −0.156572 | − | 0.106749i | ||||
\(806\) | −42450.5 | + | 33853.1i | −0.0653451 | + | 0.0521109i | ||||
\(807\) | −6117.60 | − | 6593.20i | −0.00939364 | − | 0.0101239i | ||||
\(808\) | −35056.5 | − | 232584.i | −0.0536964 | − | 0.356252i | ||||
\(809\) | 102798. | − | 450386.i | 0.157068 | − | 0.688158i | −0.833658 | − | 0.552281i | \(-0.813758\pi\) |
0.990726 | − | 0.135877i | \(-0.0433852\pi\) | |||||||
\(810\) | 188127. | − | 325845.i | 0.286735 | − | 0.496639i | ||||
\(811\) | −417649. | + | 241130.i | −0.634994 | + | 0.366614i | −0.782684 | − | 0.622420i | \(-0.786150\pi\) |
0.147690 | + | 0.989034i | \(0.452816\pi\) | |||||||
\(812\) | 629485. | − | 194170.i | 0.954714 | − | 0.294490i | ||||
\(813\) | −987180. | − | 787250.i | −1.49353 | − | 1.19105i | ||||
\(814\) | 12120.2 | + | 161733.i | 0.0182920 | + | 0.244090i | ||||
\(815\) | −435925. | + | 209930.i | −0.656291 | + | 0.316053i | ||||
\(816\) | 254068.i | 0.381565i | ||||||||
\(817\) | −765662. | + | 83536.4i | −1.14708 | + | 0.125150i | ||||
\(818\) | −65802.6 | −0.0983414 | ||||||||
\(819\) | −263441. | − | 547040.i | −0.392749 | − | 0.815552i | ||||
\(820\) | −476918. | + | 35740.1i | −0.709277 | + | 0.0531530i | ||||
\(821\) | 511451. | − | 641340.i | 0.758784 | − | 0.951485i | −0.241035 | − | 0.970516i | \(-0.577487\pi\) |
0.999819 | + | 0.0190318i | \(0.00605836\pi\) | |||||||
\(822\) | −35174.1 | − | 114032.i | −0.0520570 | − | 0.168765i | ||||
\(823\) | 449289. | + | 778191.i | 0.663324 | + | 1.14891i | 0.979737 | + | 0.200290i | \(0.0641883\pi\) |
−0.316413 | + | 0.948622i | \(0.602478\pi\) | |||||||
\(824\) | 245008. | + | 141455.i | 0.360849 | + | 0.208336i | ||||
\(825\) | −568673. | − | 129796.i | −0.835516 | − | 0.190701i | ||||
\(826\) | 40838.9 | − | 6155.47i | 0.0598569 | − | 0.00902197i | ||||
\(827\) | 221201. | − | 205245.i | 0.323427 | − | 0.300096i | −0.501702 | − | 0.865040i | \(-0.667293\pi\) |
0.825129 | + | 0.564944i | \(0.191102\pi\) | |||||||
\(828\) | 301458. | + | 378016.i | 0.439710 | + | 0.551379i | ||||
\(829\) | −304002. | + | 445890.i | −0.442352 | + | 0.648811i | −0.981065 | − | 0.193678i | \(-0.937958\pi\) |
0.538713 | + | 0.842489i | \(0.318911\pi\) | |||||||
\(830\) | 24501.6 | + | 22734.1i | 0.0355662 | + | 0.0330006i | ||||
\(831\) | 135067. | − | 1.80235e6i | 0.195591 | − | 2.60998i | ||||
\(832\) | 84343.1 | + | 214903.i | 0.121844 | + | 0.310452i | ||||
\(833\) | −17335.9 | − | 75953.4i | −0.0249836 | − | 0.109460i | ||||
\(834\) | 170679. | + | 52647.6i | 0.245385 | + | 0.0756913i | ||||
\(835\) | 71841.1 | + | 105371.i | 0.103039 | + | 0.151130i | ||||
\(836\) | −209294. | + | 1.38857e6i | −0.299464 | + | 1.98681i | ||||
\(837\) | −1.32912e6 | − | 521642.i | −1.89720 | − | 0.744597i | ||||
\(838\) | 77052.9 | + | 37106.7i | 0.109724 | + | 0.0528402i | ||||
\(839\) | 271345. | − | 563453.i | 0.385476 | − | 0.800449i | −0.614458 | − | 0.788950i | \(-0.710625\pi\) |
0.999934 | − | 0.0114996i | \(-0.00366051\pi\) | |||||||
\(840\) | −141530. | + | 360614.i | −0.200582 | + | 0.511074i | ||||
\(841\) | 752646. | + | 113443.i | 1.06414 | + | 0.160393i | ||||
\(842\) | 8984.45 | − | 6125.49i | 0.0126726 | − | 0.00864006i | ||||
\(843\) | 546594. | − | 1.77201e6i | 0.769148 | − | 2.49352i | ||||
\(844\) | −176762. | + | 40344.7i | −0.248144 | + | 0.0566372i | ||||
\(845\) | 437582. | − | 171738.i | 0.612838 | − | 0.240521i | ||||
\(846\) | −378251. | − | 28346.0i | −0.528493 | − | 0.0396051i | ||||
\(847\) | −861067. | + | 928009.i | −1.20025 | + | 1.29356i | ||||
\(848\) | −675504. | − | 460551.i | −0.939369 | − | 0.640451i | ||||
\(849\) | −1.86835e6 | + | 1.48996e6i | −2.59204 | + | 2.06708i | ||||
\(850\) | −7029.61 | − | 7576.12i | −0.00972957 | − | 0.0104860i | ||||
\(851\) | −18008.7 | − | 119480.i | −0.0248670 | − | 0.164981i | ||||
\(852\) | 239962. | − | 1.05134e6i | 0.330570 | − | 1.44832i | ||||
\(853\) | −81980.5 | + | 141994.i | −0.112671 | + | 0.195152i | −0.916846 | − | 0.399240i | \(-0.869274\pi\) |
0.804175 | + | 0.594392i | \(0.202607\pi\) | |||||||
\(854\) | −59512.1 | + | 34359.3i | −0.0815999 | + | 0.0471117i | ||||
\(855\) | −1.75532e6 | + | 541444.i | −2.40117 | + | 0.740664i | ||||
\(856\) | −378897. | − | 302161.i | −0.517099 | − | 0.412373i | ||||
\(857\) | 37335.7 | + | 498210.i | 0.0508349 | + | 0.678345i | 0.963169 | + | 0.268898i | \(0.0866594\pi\) |
−0.912334 | + | 0.409447i | \(0.865722\pi\) | |||||||
\(858\) | 266204. | − | 128197.i | 0.361610 | − | 0.174142i | ||||
\(859\) | − | 907560.i | − | 1.22995i | −0.788545 | − | 0.614977i | \(-0.789165\pi\) | ||
0.788545 | − | 0.614977i | \(-0.210835\pi\) | |||||||
\(860\) | −69913.1 | + | 601428.i | −0.0945283 | + | 0.813180i | ||||
\(861\) | 886468. | 1.19579 | ||||||||
\(862\) | 60116.4 | + | 124833.i | 0.0809055 | + | 0.168002i | ||||
\(863\) | 1.30220e6 | − | 97586.1i | 1.74846 | − | 0.131029i | 0.838278 | − | 0.545243i | \(-0.183563\pi\) |
0.910179 | + | 0.414215i | \(0.135944\pi\) | |||||||
\(864\) | 866668. | − | 1.08677e6i | 1.16098 | − | 1.45583i | ||||
\(865\) | −250138. | − | 810927.i | −0.334308 | − | 1.08380i | ||||
\(866\) | −71440.8 | − | 123739.i | −0.0952600 | − | 0.164995i | ||||
\(867\) | 1.14730e6 | + | 662394.i | 1.52630 | + | 0.881207i | ||||
\(868\) | 366589. | + | 83671.5i | 0.486564 | + | 0.111055i | ||||
\(869\) | 1.86251e6 | − | 280728.i | 2.46637 | − | 0.371746i | ||||
\(870\) | −307395. | + | 285221.i | −0.406123 | + | 0.376827i | ||||
\(871\) | 416458. | + | 522221.i | 0.548952 | + | 0.688364i | ||||
\(872\) | −204126. | + | 299398.i | −0.268452 | + | 0.393746i | ||||
\(873\) | 138218. | + | 128247.i | 0.181358 | + | 0.168275i | ||||
\(874\) | −4636.71 | + | 61872.6i | −0.00606998 | + | 0.0809982i | ||||
\(875\) | 222349. | + | 566537.i | 0.290416 | + | 0.739967i | ||||
\(876\) | 73061.7 | + | 320104.i | 0.0952098 | + | 0.417141i | ||||
\(877\) | 514557. | + | 158720.i | 0.669013 | + | 0.206363i | 0.610612 | − | 0.791930i | \(-0.290924\pi\) |
0.0584010 | + | 0.998293i | \(0.481400\pi\) | |||||||
\(878\) | 19161.6 | + | 28105.0i | 0.0248567 | + | 0.0364581i | ||||
\(879\) | 44120.5 | − | 292721.i | 0.0571035 | − | 0.378857i | ||||
\(880\) | 963054. | + | 377971.i | 1.24361 | + | 0.488082i | ||||
\(881\) | −8142.06 | − | 3921.01i | −0.0104902 | − | 0.00505180i | 0.428631 | − | 0.903479i | \(-0.358996\pi\) |
−0.439121 | + | 0.898428i | \(0.644710\pi\) | |||||||
\(882\) | −92351.9 | + | 191771.i | −0.118716 | + | 0.246516i | ||||
\(883\) | −419014. | + | 1.06763e6i | −0.537412 | + | 1.36930i | 0.361991 | + | 0.932182i | \(0.382097\pi\) |
−0.899403 | + | 0.437121i | \(0.855998\pi\) | |||||||
\(884\) | −87284.8 | − | 13156.1i | −0.111695 | − | 0.0168353i | ||||
\(885\) | 366259. | − | 249711.i | 0.467629 | − | 0.318824i | ||||
\(886\) | 9199.30 | − | 29823.4i | 0.0117189 | − | 0.0379918i | ||||
\(887\) | −257471. | + | 58766.1i | −0.327251 | + | 0.0746930i | −0.382990 | − | 0.923752i | \(-0.625106\pi\) |
0.0557388 | + | 0.998445i | \(0.482249\pi\) | |||||||
\(888\) | −354824. | + | 139258.i | −0.449974 | + | 0.176602i | ||||
\(889\) | −106283. | − | 7964.83i | −0.134481 | − | 0.0100780i | ||||
\(890\) | −58370.9 | + | 62908.8i | −0.0736913 | + | 0.0794203i | ||||
\(891\) | 3.38141e6 | + | 2.30541e6i | 4.25934 | + | 2.90397i | ||||
\(892\) | 455622. | − | 363346.i | 0.572631 | − | 0.456658i | ||||
\(893\) | 558242. | + | 601642.i | 0.700035 | + | 0.754458i | ||||
\(894\) | 16145.0 | + | 107115.i | 0.0202006 | + | 0.134022i | ||||
\(895\) | 233614. | − | 1.02353e6i | 0.291644 | − | 1.27778i | ||||
\(896\) | −241297. | + | 417938.i | −0.300563 | + | 0.520590i | ||||
\(897\) | −190631. | + | 110061.i | −0.236923 | + | 0.136788i | ||||
\(898\) | 251213. | − | 77488.9i | 0.311522 | − | 0.0960919i | ||||
\(899\) | 655317. | + | 522598.i | 0.810834 | + | 0.646619i | ||||
\(900\) | −35579.1 | − | 474770.i | −0.0439248 | − | 0.586136i | ||||
\(901\) | 242762. | − | 116908.i | 0.299041 | − | 0.144011i | ||||
\(902\) | 308519.i | 0.379200i | ||||||||
\(903\) | 212532. | − | 1.10197e6i | 0.260645 | − | 1.35144i | ||||
\(904\) | −334215. | −0.408968 | ||||||||
\(905\) | −18789.9 | − | 39017.7i | −0.0229418 | − | 0.0476392i | ||||
\(906\) | 511368. | − | 38321.7i | 0.622984 | − | 0.0466862i | ||||
\(907\) | −499801. | + | 626730.i | −0.607550 | + | 0.761844i | −0.986533 | − | 0.163560i | \(-0.947702\pi\) |
0.378983 | + | 0.925404i | \(0.376274\pi\) | |||||||
\(908\) | 50247.5 | + | 162898.i | 0.0609456 | + | 0.197581i | ||||
\(909\) | 812576. | + | 1.40742e6i | 0.983414 | + | 1.70332i | ||||
\(910\) | −53045.6 | − | 30625.9i | −0.0640570 | − | 0.0369833i | ||||
\(911\) | −663911. | − | 151533.i | −0.799969 | − | 0.182588i | −0.197054 | − | 0.980393i | \(-0.563137\pi\) |
−0.602916 | + | 0.797805i | \(0.705994\pi\) | |||||||
\(912\) | −1.48517e6 | + | 223853.i | −1.78561 | + | 0.269137i | ||||
\(913\) | −266505. | + | 247281.i | −0.319716 | + | 0.296653i | ||||
\(914\) | 66477.2 | + | 83359.7i | 0.0795757 | + | 0.0997847i | ||||
\(915\) | −415490. | + | 609411.i | −0.496270 | + | 0.727894i | ||||
\(916\) | −1.08723e6 | − | 1.00880e6i | −1.29578 | − | 1.20231i | ||||
\(917\) | 56497.3 | − | 753903.i | 0.0671875 | − | 0.896555i | ||||
\(918\) | 50295.5 | + | 128151.i | 0.0596821 | + | 0.152067i | ||||
\(919\) | −313779. | − | 1.37476e6i | −0.371530 | − | 1.62778i | −0.722486 | − | 0.691386i | \(-0.757001\pi\) |
0.350956 | − | 0.936392i | \(-0.385857\pi\) | |||||||
\(920\) | 95982.3 | + | 29606.6i | 0.113401 | + | 0.0349795i | ||||
\(921\) | −481971. | − | 706921.i | −0.568200 | − | 0.833396i | ||||
\(922\) | 657.690 | − | 4363.49i | 0.000773677 | − | 0.00513301i | ||||
\(923\) | 326851. | + | 128280.i | 0.383660 | + | 0.150576i | ||||
\(924\) | −1.84354e6 | − | 887801.i | −2.15928 | − | 1.03985i | ||||
\(925\) | −51623.6 | + | 107197.i | −0.0603343 | + | 0.125286i | ||||
\(926\) | 58647.0 | − | 149430.i | 0.0683949 | − | 0.174267i | ||||
\(927\) | −1.93289e6 | − | 291336.i | −2.24930 | − | 0.339027i | ||||
\(928\) | −674208. | + | 459667.i | −0.782884 | + | 0.533762i | ||||
\(929\) | −62375.2 | + | 202215.i | −0.0722737 | + | 0.234306i | −0.984501 | − | 0.175379i | \(-0.943885\pi\) |
0.912227 | + | 0.409684i | \(0.134361\pi\) | |||||||
\(930\) | −233356. | + | 53262.0i | −0.269807 | + | 0.0615817i | ||||
\(931\) | 428716. | − | 168259.i | 0.494619 | − | 0.194124i | ||||
\(932\) | −68202.0 | − | 5111.03i | −0.0785173 | − | 0.00588406i | ||||
\(933\) | 1.01528e6 | − | 1.09422e6i | 1.16634 | − | 1.25701i | ||||
\(934\) | −129612. | − | 88367.7i | −0.148577 | − | 0.101298i | ||||
\(935\) | −266576. | + | 212587.i | −0.304929 | + | 0.243172i | ||||
\(936\) | 337796. | + | 364058.i | 0.385570 | + | 0.415546i | ||||
\(937\) | −68783.6 | − | 456349.i | −0.0783440 | − | 0.519778i | −0.993239 | − | 0.116087i | \(-0.962965\pi\) |
0.914895 | − | 0.403692i | \(-0.132273\pi\) | |||||||
\(938\) | −61046.3 | + | 267461.i | −0.0693831 | + | 0.303987i | ||||
\(939\) | −1.33481e6 | + | 2.31195e6i | −1.51387 | + | 2.62209i | ||||
\(940\) | 558761. | − | 322601.i | 0.632368 | − | 0.365098i | ||||
\(941\) | 1.27242e6 | − | 392490.i | 1.43698 | − | 0.443251i | 0.524166 | − | 0.851616i | \(-0.324377\pi\) |
0.912819 | + | 0.408365i | \(0.133901\pi\) | |||||||
\(942\) | 232792. | + | 185645.i | 0.262341 | + | 0.209210i | ||||
\(943\) | −17176.5 | − | 229204.i | −0.0193157 | − | 0.257751i | ||||
\(944\) | 233549. | − | 112471.i | 0.262080 | − | 0.126211i | ||||
\(945\) | − | 1.61073e6i | − | 1.80368i | ||||||
\(946\) | 383522. | + | 73967.9i | 0.428556 | + | 0.0826534i | ||||
\(947\) | 659626. | 0.735526 | 0.367763 | − | 0.929920i | \(-0.380124\pi\) | ||||
0.367763 | + | 0.929920i | \(0.380124\pi\) | |||||||
\(948\) | 932686. | + | 1.93674e6i | 1.03781 | + | 2.15504i | ||||
\(949\) | −106608. | + | 7989.19i | −0.118375 | + | 0.00887095i | ||||
\(950\) | 38093.1 | − | 47767.2i | 0.0422084 | − | 0.0529277i | ||||
\(951\) | −43543.8 | − | 141166.i | −0.0481466 | − | 0.156087i | ||||
\(952\) | −37329.8 | − | 64657.0i | −0.0411890 | − | 0.0713415i | ||||
\(953\) | 845737. | + | 488286.i | 0.931214 | + | 0.537637i | 0.887195 | − | 0.461394i | \(-0.152651\pi\) |
0.0440188 | + | 0.999031i | \(0.485984\pi\) | |||||||
\(954\) | −717697. | − | 163810.i | −0.788577 | − | 0.179988i | ||||
\(955\) | 267158. | − | 40267.7i | 0.292929 | − | 0.0441519i | ||||
\(956\) | −339764. | + | 315255.i | −0.371759 | + | 0.344942i | ||||
\(957\) | −2.84383e6 | − | 3.56604e6i | −3.10513 | − | 3.89370i | ||||
\(958\) | 188740. | − | 276830.i | 0.205652 | − | 0.301636i | ||||
\(959\) | −197252. | − | 183023.i | −0.214479 | − | 0.199007i | ||||
\(960\) | −76054.3 | + | 1.01487e6i | −0.0825242 | + | 1.10121i | ||||
\(961\) | −162608. | − | 414318.i | −0.176074 | − | 0.448629i | ||||
\(962\) | −13411.0 | − | 58757.3i | −0.0144914 | − | 0.0634909i | ||||
\(963\) | 3.19969e6 | + | 986974.i | 3.45029 | + | 1.06427i | ||||
\(964\) | −415713. | − | 609739.i | −0.447342 | − | 0.656130i | ||||
\(965\) | 56112.4 | − | 372281.i | 0.0602565 | − | 0.399776i | ||||
\(966\) | −84158.9 | − | 33029.9i | −0.0901874 | − | 0.0353959i | ||||
\(967\) | 1.28327e6 | + | 617990.i | 1.37235 | + | 0.660889i | 0.967354 | − | 0.253429i | \(-0.0815583\pi\) |
0.404997 | + | 0.914318i | \(0.367273\pi\) | |||||||
\(968\) | 449280. | − | 932939.i | 0.479475 | − | 0.995641i | ||||
\(969\) | 180843. | − | 460779.i | 0.192599 | − | 0.490733i | ||||
\(970\) | 18808.8 | + | 2834.97i | 0.0199902 | + | 0.00301304i | ||||
\(971\) | −940815. | + | 641437.i | −0.997851 | + | 0.680324i | −0.947946 | − | 0.318430i | \(-0.896844\pi\) |
−0.0499052 | + | 0.998754i | \(0.515892\pi\) | |||||||
\(972\) | −632301. | + | 2.04987e6i | −0.669255 | + | 2.16967i | ||||
\(973\) | 392658. | − | 89621.7i | 0.414753 | − | 0.0946646i | ||||
\(974\) | −309931. | + | 121639.i | −0.326698 | + | 0.128220i | ||||
\(975\) | 216147. | + | 16197.9i | 0.227373 | + | 0.0170393i | ||||
\(976\) | −293366. | + | 316173.i | −0.307971 | + | 0.331914i | ||||
\(977\) | 960636. | + | 654950.i | 1.00640 | + | 0.686150i | 0.949997 | − | 0.312258i | \(-0.101085\pi\) |
0.0564001 | + | 0.998408i | \(0.482038\pi\) | |||||||
\(978\) | −278499. | + | 222095.i | −0.291169 | + | 0.232200i | ||||
\(979\) | −634904. | − | 684264.i | −0.662434 | − | 0.713934i | ||||
\(980\) | −53961.1 | − | 358008.i | −0.0561860 | − | 0.372770i | ||||
\(981\) | 557122. | − | 2.44091e6i | 0.578911 | − | 2.53638i | ||||
\(982\) | −84724.8 | + | 146748.i | −0.0878593 | + | 0.152177i | ||||
\(983\) | −1.08788e6 | + | 628089.i | −1.12583 | + | 0.650001i | −0.942884 | − | 0.333121i | \(-0.891898\pi\) |
−0.182951 | + | 0.983122i | \(0.558565\pi\) | |||||||
\(984\) | −692872. | + | 213723.i | −0.715587 | + | 0.220729i | ||||
\(985\) | −150838. | − | 120289.i | −0.155467 | − | 0.123981i | ||||
\(986\) | −6039.36 | − | 80589.7i | −0.00621208 | − | 0.0828945i | ||||
\(987\) | −1.07748e6 | + | 518886.i | −1.10605 | + | 0.532644i | ||||
\(988\) | − | 521821.i | − | 0.534574i | ||||||
\(989\) | −289043. | − | 33599.9i | −0.295509 | − | 0.0343515i | ||||
\(990\) | 931549. | 0.950464 | ||||||||
\(991\) | 383087. | + | 795489.i | 0.390077 | + | 0.810003i | 0.999848 | + | 0.0174256i | \(0.00554703\pi\) |
−0.609771 | + | 0.792577i | \(0.708739\pi\) | |||||||
\(992\) | −464470. | + | 34807.2i | −0.471991 | + | 0.0353709i | ||||
\(993\) | −1.21240e6 | + | 1.52030e6i | −1.22955 | + | 1.54181i | ||||
\(994\) | 42507.8 | + | 137807.i | 0.0430225 | + | 0.139475i | ||||
\(995\) | −373335. | − | 646635.i | −0.377096 | − | 0.653150i | ||||
\(996\) | −359325. | − | 207457.i | −0.362217 | − | 0.209126i | ||||
\(997\) | −1.21720e6 | − | 277819.i | −1.22454 | − | 0.279493i | −0.439104 | − | 0.898436i | \(-0.644704\pi\) |
−0.785436 | + | 0.618943i | \(0.787561\pi\) | |||||||
\(998\) | −12840.6 | + | 1935.41i | −0.0128921 | + | 0.00194318i | ||||
\(999\) | 1.16179e6 | − | 1.07798e6i | 1.16412 | − | 1.08014i |
(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 | 43.5.h.a.29.7 | yes | 168 | |
43.3 | odd | 42 | inner | 43.5.h.a.3.7 | ✓ | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.5.h.a.3.7 | ✓ | 168 | 43.3 | odd | 42 | inner | |
43.5.h.a.29.7 | yes | 168 | 1.1 | even | 1 | trivial |