Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,5,Mod(23,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.23");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.l (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.85611719437\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.11 | ||
Character | \(\chi\) | \(=\) | 76.23 |
Dual form | 76.5.l.a.43.11 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.96694 | + | 2.68277i | −0.741736 | + | 0.670692i | ||||
\(3\) | −1.05794 | + | 0.186543i | −0.117548 | + | 0.0207270i | −0.232113 | − | 0.972689i | \(-0.574564\pi\) |
0.114564 | + | 0.993416i | \(0.463453\pi\) | |||||||
\(4\) | 1.60551 | − | 15.9192i | 0.100345 | − | 0.994953i | ||||
\(5\) | 1.47493 | − | 1.23761i | 0.0589970 | − | 0.0495044i | −0.612812 | − | 0.790228i | \(-0.709962\pi\) |
0.671809 | + | 0.740724i | \(0.265517\pi\) | |||||||
\(6\) | 2.63839 | − | 3.39166i | 0.0732885 | − | 0.0942127i | ||||
\(7\) | 26.6122 | + | 15.3646i | 0.543106 | + | 0.313562i | 0.746337 | − | 0.665568i | \(-0.231811\pi\) |
−0.203231 | + | 0.979131i | \(0.565144\pi\) | |||||||
\(8\) | 37.9442 | + | 51.5387i | 0.592878 | + | 0.805293i | ||||
\(9\) | −75.0307 | + | 27.3089i | −0.926305 | + | 0.337147i | ||||
\(10\) | −1.05580 | + | 7.62880i | −0.0105580 | + | 0.0762880i | ||||
\(11\) | 29.9069 | − | 17.2667i | 0.247164 | − | 0.142700i | −0.371301 | − | 0.928513i | \(-0.621088\pi\) |
0.618465 | + | 0.785812i | \(0.287755\pi\) | |||||||
\(12\) | 1.27109 | + | 17.1410i | 0.00882701 | + | 0.119035i | ||||
\(13\) | −42.0617 | + | 238.544i | −0.248886 | + | 1.41150i | 0.562406 | + | 0.826861i | \(0.309876\pi\) |
−0.811292 | + | 0.584641i | \(0.801235\pi\) | |||||||
\(14\) | −120.176 | + | 25.8086i | −0.613145 | + | 0.131676i | ||||
\(15\) | −1.32951 | + | 1.58445i | −0.00590893 | + | 0.00704199i | ||||
\(16\) | −250.845 | − | 51.1171i | −0.979862 | − | 0.199676i | ||||
\(17\) | −280.382 | − | 102.051i | −0.970181 | − | 0.353117i | −0.192166 | − | 0.981362i | \(-0.561551\pi\) |
−0.778015 | + | 0.628245i | \(0.783773\pi\) | |||||||
\(18\) | 149.348 | − | 282.314i | 0.460951 | − | 0.871339i | ||||
\(19\) | −242.275 | − | 267.627i | −0.671121 | − | 0.741348i | ||||
\(20\) | −17.3338 | − | 25.4667i | −0.0433345 | − | 0.0636668i | ||||
\(21\) | −31.0201 | − | 11.2904i | −0.0703405 | − | 0.0256018i | ||||
\(22\) | −42.4094 | + | 131.463i | −0.0876227 | + | 0.271617i | ||||
\(23\) | −421.407 | + | 502.214i | −0.796611 | + | 0.949365i | −0.999555 | − | 0.0298259i | \(-0.990505\pi\) |
0.202944 | + | 0.979190i | \(0.434949\pi\) | |||||||
\(24\) | −49.7567 | − | 47.4465i | −0.0863831 | − | 0.0823723i | ||||
\(25\) | −107.886 | + | 611.854i | −0.172618 | + | 0.978967i | ||||
\(26\) | −515.163 | − | 820.588i | −0.762075 | − | 1.21389i | ||||
\(27\) | 149.640 | − | 86.3949i | 0.205268 | − | 0.118512i | ||||
\(28\) | 287.318 | − | 398.978i | 0.366478 | − | 0.508901i | ||||
\(29\) | −1218.39 | + | 443.456i | −1.44873 | + | 0.527296i | −0.942237 | − | 0.334946i | \(-0.891282\pi\) |
−0.506497 | + | 0.862242i | \(0.669060\pi\) | |||||||
\(30\) | −0.306126 | − | 8.26774i | −0.000340140 | − | 0.00918637i | ||||
\(31\) | 961.830 | + | 555.313i | 1.00086 | + | 0.577849i | 0.908504 | − | 0.417877i | \(-0.137226\pi\) |
0.0923598 | + | 0.995726i | \(0.470559\pi\) | |||||||
\(32\) | 881.377 | − | 521.297i | 0.860720 | − | 0.509079i | ||||
\(33\) | −28.4186 | + | 23.8460i | −0.0260960 | + | 0.0218972i | ||||
\(34\) | 1105.66 | − | 449.422i | 0.956451 | − | 0.388773i | ||||
\(35\) | 58.2664 | − | 10.2739i | 0.0475644 | − | 0.00838688i | ||||
\(36\) | 314.275 | + | 1238.28i | 0.242496 | + | 0.955460i | ||||
\(37\) | 198.579 | 0.145054 | 0.0725270 | − | 0.997366i | \(-0.476894\pi\) | ||||
0.0725270 | + | 0.997366i | \(0.476894\pi\) | |||||||
\(38\) | 1436.80 | + | 144.067i | 0.995011 | + | 0.0997695i | ||||
\(39\) | − | 260.210i | − | 0.171078i | ||||||
\(40\) | 119.750 | + | 29.0557i | 0.0748435 | + | 0.0181598i | ||||
\(41\) | −143.868 | − | 815.918i | −0.0855850 | − | 0.485377i | −0.997229 | − | 0.0743955i | \(-0.976297\pi\) |
0.911644 | − | 0.410981i | \(-0.134814\pi\) | |||||||
\(42\) | 122.325 | − | 49.7218i | 0.0693450 | − | 0.0281870i | ||||
\(43\) | 2296.43 | + | 2736.77i | 1.24198 | + | 1.48014i | 0.818786 | + | 0.574099i | \(0.194648\pi\) |
0.423197 | + | 0.906038i | \(0.360908\pi\) | |||||||
\(44\) | −226.858 | − | 503.817i | −0.117179 | − | 0.260236i | ||||
\(45\) | −76.8669 | + | 133.137i | −0.0379590 | + | 0.0657468i | ||||
\(46\) | −97.0309 | − | 2620.58i | −0.0458558 | − | 1.23846i | ||||
\(47\) | −173.023 | − | 475.377i | −0.0783265 | − | 0.215200i | 0.894349 | − | 0.447371i | \(-0.147640\pi\) |
−0.972675 | + | 0.232170i | \(0.925417\pi\) | |||||||
\(48\) | 274.913 | + | 7.28537i | 0.119320 | + | 0.00316205i | ||||
\(49\) | −728.361 | − | 1261.56i | −0.303357 | − | 0.525430i | ||||
\(50\) | −1321.37 | − | 2104.77i | −0.528548 | − | 0.841908i | ||||
\(51\) | 315.663 | + | 55.6600i | 0.121362 | + | 0.0213995i | ||||
\(52\) | 3729.91 | + | 1052.58i | 1.37940 | + | 0.389266i | ||||
\(53\) | 1203.51 | + | 1009.87i | 0.428449 | + | 0.359511i | 0.831366 | − | 0.555725i | \(-0.187559\pi\) |
−0.402917 | + | 0.915236i | \(0.632004\pi\) | |||||||
\(54\) | −212.197 | + | 657.779i | −0.0727699 | + | 0.225576i | ||||
\(55\) | 22.7409 | − | 62.4802i | 0.00751767 | − | 0.0206546i | ||||
\(56\) | 217.908 | + | 1954.55i | 0.0694860 | + | 0.623263i | ||||
\(57\) | 306.235 | + | 237.937i | 0.0942551 | + | 0.0732340i | ||||
\(58\) | 2425.19 | − | 4584.35i | 0.720925 | − | 1.36277i | ||||
\(59\) | −438.959 | + | 1206.03i | −0.126101 | + | 0.346461i | −0.986638 | − | 0.162928i | \(-0.947906\pi\) |
0.860537 | + | 0.509389i | \(0.170128\pi\) | |||||||
\(60\) | 23.0887 | + | 23.7086i | 0.00641352 | + | 0.00658574i | ||||
\(61\) | −674.737 | − | 566.171i | −0.181332 | − | 0.152156i | 0.547604 | − | 0.836738i | \(-0.315540\pi\) |
−0.728936 | + | 0.684582i | \(0.759985\pi\) | |||||||
\(62\) | −4343.47 | + | 932.785i | −1.12994 | + | 0.242660i | ||||
\(63\) | −2416.32 | − | 426.063i | −0.608798 | − | 0.107348i | ||||
\(64\) | −1216.48 | + | 3911.19i | −0.296992 | + | 0.954880i | ||||
\(65\) | 233.186 | + | 403.890i | 0.0551920 | + | 0.0955954i | ||||
\(66\) | 20.3430 | − | 146.990i | 0.00467011 | − | 0.0337443i | ||||
\(67\) | −1261.58 | − | 3466.17i | −0.281039 | − | 0.772148i | −0.997239 | − | 0.0742537i | \(-0.976343\pi\) |
0.716200 | − | 0.697895i | \(-0.245880\pi\) | |||||||
\(68\) | −2074.73 | + | 4299.63i | −0.448687 | + | 0.929851i | ||||
\(69\) | 352.138 | − | 609.921i | 0.0739630 | − | 0.128108i | ||||
\(70\) | −145.310 | + | 186.797i | −0.0296552 | + | 0.0381219i | ||||
\(71\) | −2360.72 | − | 2813.40i | −0.468304 | − | 0.558103i | 0.479258 | − | 0.877674i | \(-0.340906\pi\) |
−0.947562 | + | 0.319571i | \(0.896461\pi\) | |||||||
\(72\) | −4254.44 | − | 2830.77i | −0.820688 | − | 0.546059i | ||||
\(73\) | 313.651 | + | 1778.80i | 0.0588573 | + | 0.333796i | 0.999991 | − | 0.00423816i | \(-0.00134905\pi\) |
−0.941134 | + | 0.338035i | \(0.890238\pi\) | |||||||
\(74\) | −589.173 | + | 532.741i | −0.107592 | + | 0.0972866i | ||||
\(75\) | − | 667.428i | − | 0.118654i | ||||||
\(76\) | −4649.39 | + | 3427.15i | −0.804950 | + | 0.593343i | ||||
\(77\) | 1061.18 | 0.178982 | ||||||||
\(78\) | 698.084 | + | 772.030i | 0.114741 | + | 0.126895i | ||||
\(79\) | 4380.83 | − | 772.458i | 0.701943 | − | 0.123772i | 0.188725 | − | 0.982030i | \(-0.439564\pi\) |
0.513218 | + | 0.858258i | \(0.328453\pi\) | |||||||
\(80\) | −433.240 | + | 235.054i | −0.0676938 | + | 0.0367272i | ||||
\(81\) | 4812.22 | − | 4037.93i | 0.733458 | − | 0.615444i | ||||
\(82\) | 2615.77 | + | 2034.82i | 0.389020 | + | 0.302620i | ||||
\(83\) | −6444.01 | − | 3720.45i | −0.935405 | − | 0.540057i | −0.0468884 | − | 0.998900i | \(-0.514931\pi\) |
−0.888517 | + | 0.458844i | \(0.848264\pi\) | |||||||
\(84\) | −229.538 | + | 475.690i | −0.0325309 | + | 0.0674164i | ||||
\(85\) | −539.842 | + | 196.487i | −0.0747187 | + | 0.0271954i | ||||
\(86\) | −14155.5 | − | 1959.08i | −1.91394 | − | 0.264883i | ||||
\(87\) | 1206.25 | − | 696.429i | 0.159367 | − | 0.0920107i | ||||
\(88\) | 2024.70 | + | 886.190i | 0.261454 | + | 0.114436i | ||||
\(89\) | −61.4577 | + | 348.544i | −0.00775884 | + | 0.0440025i | −0.988441 | − | 0.151604i | \(-0.951556\pi\) |
0.980683 | + | 0.195606i | \(0.0626674\pi\) | |||||||
\(90\) | −129.117 | − | 601.227i | −0.0159404 | − | 0.0742256i | ||||
\(91\) | −4784.47 | + | 5701.92i | −0.577765 | + | 0.688554i | ||||
\(92\) | 7318.29 | + | 7514.80i | 0.864637 | + | 0.887854i | ||||
\(93\) | −1121.14 | − | 408.063i | −0.129627 | − | 0.0471804i | ||||
\(94\) | 1788.68 | + | 946.237i | 0.202431 | + | 0.107089i | ||||
\(95\) | −688.554 | − | 94.8883i | −0.0762941 | − | 0.0105139i | ||||
\(96\) | −835.197 | + | 715.913i | −0.0906246 | + | 0.0776815i | ||||
\(97\) | 1927.50 | + | 701.553i | 0.204857 | + | 0.0745619i | 0.442411 | − | 0.896813i | \(-0.354123\pi\) |
−0.237554 | + | 0.971374i | \(0.576346\pi\) | |||||||
\(98\) | 5545.47 | + | 1788.95i | 0.577413 | + | 0.186271i | ||||
\(99\) | −1772.40 | + | 2112.26i | −0.180838 | + | 0.215515i | ||||
\(100\) | 9567.04 | + | 2699.81i | 0.956704 | + | 0.269981i | ||||
\(101\) | −1583.91 | + | 8982.83i | −0.155271 | + | 0.880583i | 0.803268 | + | 0.595618i | \(0.203093\pi\) |
−0.958538 | + | 0.284965i | \(0.908018\pi\) | |||||||
\(102\) | −1085.88 | + | 681.712i | −0.104371 | + | 0.0655240i | ||||
\(103\) | 15678.8 | − | 9052.18i | 1.47788 | − | 0.853255i | 0.478194 | − | 0.878254i | \(-0.341292\pi\) |
0.999687 | + | 0.0249993i | \(0.00795836\pi\) | |||||||
\(104\) | −13890.2 | + | 6883.54i | −1.28423 | + | 0.636422i | ||||
\(105\) | −59.7255 | + | 21.7383i | −0.00541728 | + | 0.00197173i | ||||
\(106\) | −6279.99 | + | 232.526i | −0.558917 | + | 0.0206948i | ||||
\(107\) | −3008.15 | − | 1736.76i | −0.262744 | − | 0.151695i | 0.362842 | − | 0.931851i | \(-0.381807\pi\) |
−0.625585 | + | 0.780156i | \(0.715140\pi\) | |||||||
\(108\) | −1135.09 | − | 2520.87i | −0.0973159 | − | 0.216124i | ||||
\(109\) | 15491.5 | − | 12998.9i | 1.30389 | − | 1.09409i | 0.314427 | − | 0.949282i | \(-0.398188\pi\) |
0.989460 | − | 0.144809i | \(-0.0462567\pi\) | |||||||
\(110\) | 100.149 | + | 246.384i | 0.00827676 | + | 0.0203623i | ||||
\(111\) | −210.084 | + | 37.0434i | −0.0170509 | + | 0.00300653i | ||||
\(112\) | −5890.14 | − | 5214.46i | −0.469558 | − | 0.415693i | ||||
\(113\) | 12687.8 | 0.993640 | 0.496820 | − | 0.867854i | \(-0.334501\pi\) | ||||
0.496820 | + | 0.867854i | \(0.334501\pi\) | |||||||
\(114\) | −1546.91 | + | 115.610i | −0.119030 | + | 0.00889580i | ||||
\(115\) | 1262.27i | 0.0954455i | ||||||||
\(116\) | 5103.35 | + | 20107.8i | 0.379262 | + | 1.49433i | ||||
\(117\) | −3358.46 | − | 19046.8i | −0.245340 | − | 1.39139i | ||||
\(118\) | −1933.13 | − | 4755.85i | −0.138834 | − | 0.341558i | ||||
\(119\) | −5893.63 | − | 7023.75i | −0.416187 | − | 0.495992i | ||||
\(120\) | −132.108 | − | 8.40066i | −0.00917414 | − | 0.000583379i | ||||
\(121\) | −6724.22 | + | 11646.7i | −0.459273 | + | 0.795485i | ||||
\(122\) | 3520.81 | − | 130.363i | 0.236550 | − | 0.00875863i | ||||
\(123\) | 304.407 | + | 836.352i | 0.0201208 | + | 0.0552814i | ||||
\(124\) | 10384.4 | − | 14420.0i | 0.675363 | − | 0.937828i | ||||
\(125\) | 1199.79 | + | 2078.10i | 0.0767868 | + | 0.132999i | ||||
\(126\) | 8312.12 | − | 5218.32i | 0.523565 | − | 0.328693i | ||||
\(127\) | −6827.43 | − | 1203.86i | −0.423301 | − | 0.0746395i | −0.0420603 | − | 0.999115i | \(-0.513392\pi\) |
−0.381241 | + | 0.924476i | \(0.624503\pi\) | |||||||
\(128\) | −6883.58 | − | 14867.8i | −0.420141 | − | 0.907459i | ||||
\(129\) | −2940.00 | − | 2466.95i | −0.176672 | − | 0.148245i | ||||
\(130\) | −1775.39 | − | 572.736i | −0.105053 | − | 0.0338897i | ||||
\(131\) | −6537.46 | + | 17961.5i | −0.380949 | + | 1.04665i | 0.590009 | + | 0.807397i | \(0.299124\pi\) |
−0.970958 | + | 0.239251i | \(0.923098\pi\) | |||||||
\(132\) | 333.984 | + | 490.687i | 0.0191681 | + | 0.0281616i | ||||
\(133\) | −2335.49 | − | 10844.6i | −0.132031 | − | 0.613069i | ||||
\(134\) | 13042.0 | + | 6899.41i | 0.726330 | + | 0.384240i | ||||
\(135\) | 113.785 | − | 312.622i | 0.00624336 | − | 0.0171535i | ||||
\(136\) | −5379.31 | − | 18322.8i | −0.290836 | − | 0.990635i | ||||
\(137\) | −15911.1 | − | 13351.0i | −0.847731 | − | 0.711330i | 0.111558 | − | 0.993758i | \(-0.464416\pi\) |
−0.959289 | + | 0.282427i | \(0.908860\pi\) | |||||||
\(138\) | 591.502 | + | 2754.30i | 0.0310598 | + | 0.144628i | ||||
\(139\) | 24163.0 | + | 4260.60i | 1.25061 | + | 0.220516i | 0.759457 | − | 0.650557i | \(-0.225465\pi\) |
0.491153 | + | 0.871073i | \(0.336576\pi\) | |||||||
\(140\) | −70.0059 | − | 944.051i | −0.00357173 | − | 0.0481659i | ||||
\(141\) | 271.726 | + | 470.643i | 0.0136676 | + | 0.0236730i | ||||
\(142\) | 14551.8 | + | 2013.93i | 0.721673 | + | 0.0998774i | ||||
\(143\) | 2860.94 | + | 7860.37i | 0.139906 | + | 0.384389i | ||||
\(144\) | 20217.0 | − | 3014.95i | 0.974971 | − | 0.145397i | ||||
\(145\) | −1248.20 | + | 2161.95i | −0.0593676 | + | 0.102828i | ||||
\(146\) | −5702.69 | − | 4436.15i | −0.267531 | − | 0.208114i | ||||
\(147\) | 1005.89 | + | 1198.78i | 0.0465497 | + | 0.0554758i | ||||
\(148\) | 318.821 | − | 3161.23i | 0.0145554 | − | 0.144322i | ||||
\(149\) | 6773.45 | + | 38414.2i | 0.305097 | + | 1.73029i | 0.623049 | + | 0.782183i | \(0.285894\pi\) |
−0.317952 | + | 0.948107i | \(0.602995\pi\) | |||||||
\(150\) | 1790.55 | + | 1980.22i | 0.0795802 | + | 0.0880098i | ||||
\(151\) | 12457.9i | 0.546376i | 0.961961 | + | 0.273188i | \(0.0880781\pi\) | ||||
−0.961961 | + | 0.273188i | \(0.911922\pi\) | |||||||
\(152\) | 4600.23 | − | 22641.4i | 0.199110 | − | 0.979977i | ||||
\(153\) | 23824.2 | 1.01774 | ||||||||
\(154\) | −3148.47 | + | 2846.91i | −0.132757 | + | 0.120042i | ||||
\(155\) | 2105.89 | − | 371.325i | 0.0876540 | − | 0.0154558i | ||||
\(156\) | −4142.35 | − | 417.771i | −0.170215 | − | 0.0171668i | ||||
\(157\) | −23219.9 | + | 19483.8i | −0.942022 | + | 0.790450i | −0.977936 | − | 0.208904i | \(-0.933010\pi\) |
0.0359139 | + | 0.999355i | \(0.488566\pi\) | |||||||
\(158\) | −10925.3 | + | 14044.6i | −0.437644 | + | 0.562594i | ||||
\(159\) | −1461.62 | − | 843.868i | −0.0578151 | − | 0.0333795i | ||||
\(160\) | 654.805 | − | 1859.67i | 0.0255783 | − | 0.0726436i | ||||
\(161\) | −18930.9 | + | 6890.27i | −0.730330 | + | 0.265818i | ||||
\(162\) | −3444.75 | + | 24890.4i | −0.131259 | + | 0.948421i | ||||
\(163\) | 804.336 | − | 464.383i | 0.0302735 | − | 0.0174784i | −0.484787 | − | 0.874632i | \(-0.661103\pi\) |
0.515060 | + | 0.857154i | \(0.327770\pi\) | |||||||
\(164\) | −13219.8 | + | 980.310i | −0.491515 | + | 0.0364482i | ||||
\(165\) | −12.4032 | + | 70.3422i | −0.000455582 | + | 0.00258374i | ||||
\(166\) | 29100.1 | − | 6249.41i | 1.05604 | − | 0.226790i | ||||
\(167\) | 26942.4 | − | 32108.7i | 0.966057 | − | 1.15130i | −0.0223920 | − | 0.999749i | \(-0.507128\pi\) |
0.988449 | − | 0.151553i | \(-0.0484274\pi\) | |||||||
\(168\) | −595.141 | − | 2027.14i | −0.0210863 | − | 0.0718234i | ||||
\(169\) | −28295.4 | − | 10298.7i | −0.990700 | − | 0.360585i | ||||
\(170\) | 1074.55 | − | 2031.24i | 0.0371818 | − | 0.0702850i | ||||
\(171\) | 25486.6 | + | 13464.0i | 0.871606 | + | 0.460448i | ||||
\(172\) | 47254.3 | − | 32163.4i | 1.59729 | − | 1.08719i | ||||
\(173\) | −8168.58 | − | 2973.12i | −0.272932 | − | 0.0993391i | 0.201928 | − | 0.979400i | \(-0.435279\pi\) |
−0.474860 | + | 0.880061i | \(0.657501\pi\) | |||||||
\(174\) | −1710.52 | + | 5302.36i | −0.0564975 | + | 0.175134i | ||||
\(175\) | −12272.0 | + | 14625.2i | −0.400717 | + | 0.477556i | ||||
\(176\) | −8384.61 | + | 2802.52i | −0.270681 | + | 0.0904739i | ||||
\(177\) | 239.414 | − | 1357.79i | 0.00764194 | − | 0.0433396i | ||||
\(178\) | −752.722 | − | 1198.99i | −0.0237571 | − | 0.0378421i | ||||
\(179\) | −43479.5 | + | 25102.9i | −1.35699 | + | 0.783461i | −0.989218 | − | 0.146453i | \(-0.953214\pi\) |
−0.367777 | + | 0.929914i | \(0.619881\pi\) | |||||||
\(180\) | 1996.04 | + | 1437.42i | 0.0616060 | + | 0.0443647i | ||||
\(181\) | −43830.8 | + | 15953.1i | −1.33789 | + | 0.486954i | −0.909149 | − | 0.416471i | \(-0.863267\pi\) |
−0.428746 | + | 0.903425i | \(0.641044\pi\) | |||||||
\(182\) | −1101.65 | − | 29752.9i | −0.0332583 | − | 0.898228i | ||||
\(183\) | 819.443 | + | 473.106i | 0.0244690 | + | 0.0141272i | ||||
\(184\) | −41873.4 | − | 2662.71i | −1.23681 | − | 0.0786481i | ||||
\(185\) | 292.889 | − | 245.763i | 0.00855776 | − | 0.00718081i | ||||
\(186\) | 4421.11 | − | 1797.07i | 0.127792 | − | 0.0519444i | ||||
\(187\) | −10147.4 | + | 1789.27i | −0.290184 | + | 0.0511673i | ||||
\(188\) | −7845.44 | + | 1991.18i | −0.221974 | + | 0.0563370i | ||||
\(189\) | 5309.68 | 0.148643 | ||||||||
\(190\) | 2297.47 | − | 1565.70i | 0.0636417 | − | 0.0433713i | ||||
\(191\) | − | 42743.4i | − | 1.17166i | −0.810433 | − | 0.585831i | \(-0.800768\pi\) | ||
0.810433 | − | 0.585831i | \(-0.199232\pi\) | |||||||
\(192\) | 557.354 | − | 4364.71i | 0.0151192 | − | 0.118400i | ||||
\(193\) | 6491.41 | + | 36814.6i | 0.174271 | + | 0.988339i | 0.938982 | + | 0.343966i | \(0.111770\pi\) |
−0.764711 | + | 0.644373i | \(0.777118\pi\) | |||||||
\(194\) | −7600.89 | + | 3089.57i | −0.201958 | + | 0.0820908i | ||||
\(195\) | −322.039 | − | 383.791i | −0.00846914 | − | 0.0100931i | ||||
\(196\) | −21252.4 | + | 9569.50i | −0.553218 | + | 0.249102i | ||||
\(197\) | −5405.57 | + | 9362.72i | −0.139286 | + | 0.241251i | −0.927227 | − | 0.374500i | \(-0.877814\pi\) |
0.787940 | + | 0.615752i | \(0.211148\pi\) | |||||||
\(198\) | −408.102 | − | 11021.9i | −0.0104097 | − | 0.281142i | ||||
\(199\) | 6245.16 | + | 17158.4i | 0.157702 | + | 0.433283i | 0.993230 | − | 0.116165i | \(-0.0370602\pi\) |
−0.835528 | + | 0.549448i | \(0.814838\pi\) | |||||||
\(200\) | −35627.8 | + | 17656.0i | −0.890696 | + | 0.441399i | ||||
\(201\) | 1981.26 | + | 3431.65i | 0.0490400 | + | 0.0849398i | ||||
\(202\) | −19399.5 | − | 30900.8i | −0.475430 | − | 0.757299i | ||||
\(203\) | −39237.4 | − | 6918.62i | −0.952157 | − | 0.167891i | ||||
\(204\) | 1392.87 | − | 4935.76i | 0.0334695 | − | 0.118602i | ||||
\(205\) | −1221.98 | − | 1025.37i | −0.0290775 | − | 0.0243990i | ||||
\(206\) | −22233.3 | + | 68920.0i | −0.523926 | + | 1.62409i | ||||
\(207\) | 17903.6 | − | 49189.6i | 0.417829 | − | 1.14798i | ||||
\(208\) | 22744.6 | − | 57687.4i | 0.525717 | − | 1.33338i | ||||
\(209\) | −11866.7 | − | 3820.59i | −0.271668 | − | 0.0874657i | ||||
\(210\) | 118.883 | − | 224.726i | 0.00269577 | − | 0.00509583i | ||||
\(211\) | −17736.2 | + | 48729.8i | −0.398378 | + | 1.09453i | 0.564697 | + | 0.825299i | \(0.308993\pi\) |
−0.963074 | + | 0.269236i | \(0.913229\pi\) | |||||||
\(212\) | 18008.6 | − | 17537.7i | 0.400689 | − | 0.390211i | ||||
\(213\) | 3022.31 | + | 2536.02i | 0.0666162 | + | 0.0558976i | ||||
\(214\) | 13584.3 | − | 2917.31i | 0.296627 | − | 0.0637023i | ||||
\(215\) | 6774.12 | + | 1194.46i | 0.146547 | + | 0.0258401i | ||||
\(216\) | 10130.7 | + | 4434.09i | 0.217135 | + | 0.0950379i | ||||
\(217\) | 17064.3 | + | 29556.2i | 0.362383 | + | 0.627666i | ||||
\(218\) | −11089.3 | + | 80127.0i | −0.233342 | + | 1.68603i | ||||
\(219\) | −663.644 | − | 1823.35i | −0.0138372 | − | 0.0380173i | ||||
\(220\) | −958.127 | − | 462.331i | −0.0197960 | − | 0.00955230i | ||||
\(221\) | 36137.0 | − | 62591.0i | 0.739890 | − | 1.28153i | ||||
\(222\) | 523.928 | − | 673.512i | 0.0106308 | − | 0.0136659i | ||||
\(223\) | −12729.6 | − | 15170.6i | −0.255980 | − | 0.305066i | 0.622715 | − | 0.782449i | \(-0.286030\pi\) |
−0.878695 | + | 0.477383i | \(0.841585\pi\) | |||||||
\(224\) | 31464.9 | − | 330.872i | 0.627090 | − | 0.00659423i | ||||
\(225\) | −8614.29 | − | 48854.1i | −0.170159 | − | 0.965019i | ||||
\(226\) | −37644.0 | + | 34038.4i | −0.737018 | + | 0.666426i | ||||
\(227\) | 4175.20i | 0.0810263i | 0.999179 | + | 0.0405131i | \(0.0128993\pi\) | ||||
−0.999179 | + | 0.0405131i | \(0.987101\pi\) | |||||||
\(228\) | 4279.45 | − | 4493.01i | 0.0823224 | − | 0.0864307i | ||||
\(229\) | 63595.1 | 1.21270 | 0.606349 | − | 0.795199i | \(-0.292633\pi\) | ||||
0.606349 | + | 0.795199i | \(0.292633\pi\) | |||||||
\(230\) | −3386.37 | − | 3745.07i | −0.0640145 | − | 0.0707953i | ||||
\(231\) | −1122.66 | + | 197.956i | −0.0210390 | + | 0.00370975i | ||||
\(232\) | −69085.8 | − | 45967.5i | −1.28355 | − | 0.854033i | ||||
\(233\) | 6618.26 | − | 5553.38i | 0.121908 | − | 0.102293i | −0.579796 | − | 0.814762i | \(-0.696868\pi\) |
0.701703 | + | 0.712469i | \(0.252423\pi\) | |||||||
\(234\) | 61062.4 | + | 47500.7i | 1.11517 | + | 0.867498i | ||||
\(235\) | −843.528 | − | 487.011i | −0.0152744 | − | 0.00881867i | ||||
\(236\) | 18494.3 | + | 8924.19i | 0.332058 | + | 0.160230i | ||||
\(237\) | −4490.54 | + | 1634.42i | −0.0799469 | + | 0.0290983i | ||||
\(238\) | 36329.1 | + | 5027.84i | 0.641359 | + | 0.0887621i | ||||
\(239\) | 62748.1 | − | 36227.6i | 1.09851 | − | 0.634226i | 0.162682 | − | 0.986679i | \(-0.447985\pi\) |
0.935830 | + | 0.352452i | \(0.114652\pi\) | |||||||
\(240\) | 414.493 | − | 329.490i | 0.00719606 | − | 0.00572031i | ||||
\(241\) | 8433.63 | − | 47829.5i | 0.145205 | − | 0.823496i | −0.821998 | − | 0.569490i | \(-0.807141\pi\) |
0.967203 | − | 0.254006i | \(-0.0817483\pi\) | |||||||
\(242\) | −11295.0 | − | 52594.6i | −0.192866 | − | 0.898070i | ||||
\(243\) | −13334.2 | + | 15891.1i | −0.225816 | + | 0.269117i | ||||
\(244\) | −10096.3 | + | 9832.30i | −0.169583 | + | 0.165149i | ||||
\(245\) | −2635.59 | − | 959.278i | −0.0439083 | − | 0.0159813i | ||||
\(246\) | −3146.90 | − | 1664.76i | −0.0520011 | − | 0.0275093i | ||||
\(247\) | 74031.2 | − | 46536.2i | 1.21345 | − | 0.762777i | ||||
\(248\) | 7875.73 | + | 70642.4i | 0.128052 | + | 1.14858i | ||||
\(249\) | 7511.37 | + | 2733.92i | 0.121149 | + | 0.0440947i | ||||
\(250\) | −9134.79 | − | 2946.85i | −0.146157 | − | 0.0471496i | ||||
\(251\) | −59628.7 | + | 71062.7i | −0.946472 | + | 1.12796i | 0.0451750 | + | 0.998979i | \(0.485615\pi\) |
−0.991647 | + | 0.128982i | \(0.958829\pi\) | |||||||
\(252\) | −10662.0 | + | 37782.0i | −0.167895 | + | 0.594954i | ||||
\(253\) | −3931.38 | + | 22296.0i | −0.0614192 | + | 0.348326i | ||||
\(254\) | 23486.3 | − | 14744.6i | 0.364038 | − | 0.228542i | ||||
\(255\) | 534.465 | − | 308.574i | 0.00821938 | − | 0.00474546i | ||||
\(256\) | 60310.1 | + | 25644.9i | 0.920259 | + | 0.391310i | ||||
\(257\) | 61612.7 | − | 22425.2i | 0.932833 | − | 0.339524i | 0.169501 | − | 0.985530i | \(-0.445784\pi\) |
0.763332 | + | 0.646006i | \(0.223562\pi\) | |||||||
\(258\) | 15341.1 | − | 568.026i | 0.230471 | − | 0.00853353i | ||||
\(259\) | 5284.62 | + | 3051.08i | 0.0787797 | + | 0.0454835i | ||||
\(260\) | 6804.01 | − | 3063.70i | 0.100651 | − | 0.0453210i | ||||
\(261\) | 79306.0 | − | 66545.6i | 1.16419 | − | 0.976874i | ||||
\(262\) | −28790.3 | − | 70829.3i | −0.419415 | − | 1.03184i | ||||
\(263\) | 82922.0 | − | 14621.4i | 1.19883 | − | 0.211387i | 0.461639 | − | 0.887068i | \(-0.347262\pi\) |
0.737194 | + | 0.675681i | \(0.236151\pi\) | |||||||
\(264\) | −2307.31 | − | 559.840i | −0.0331054 | − | 0.00803260i | ||||
\(265\) | 3024.91 | 0.0430746 | ||||||||
\(266\) | 36022.8 | + | 25909.7i | 0.509112 | + | 0.366183i | ||||
\(267\) | − | 380.202i | − | 0.00533325i | ||||||
\(268\) | −57204.4 | + | 14518.5i | −0.796452 | + | 0.202140i | ||||
\(269\) | −2374.72 | − | 13467.7i | −0.0328176 | − | 0.186118i | 0.963992 | − | 0.265930i | \(-0.0856791\pi\) |
−0.996810 | + | 0.0798121i | \(0.974568\pi\) | |||||||
\(270\) | 501.099 | + | 1232.79i | 0.00687379 | + | 0.0169107i | ||||
\(271\) | −29631.4 | − | 35313.3i | −0.403472 | − | 0.480839i | 0.525604 | − | 0.850730i | \(-0.323840\pi\) |
−0.929075 | + | 0.369891i | \(0.879395\pi\) | |||||||
\(272\) | 65115.9 | + | 39931.2i | 0.880135 | + | 0.539728i | ||||
\(273\) | 3998.02 | − | 6924.77i | 0.0536438 | − | 0.0929138i | ||||
\(274\) | 83024.7 | − | 3074.12i | 1.10588 | − | 0.0409468i | ||||
\(275\) | 7338.18 | + | 20161.5i | 0.0970338 | + | 0.266598i | ||||
\(276\) | −9144.11 | − | 6585.00i | −0.120039 | − | 0.0864446i | ||||
\(277\) | −24346.2 | − | 42168.8i | −0.317301 | − | 0.549581i | 0.662623 | − | 0.748953i | \(-0.269443\pi\) |
−0.979924 | + | 0.199372i | \(0.936110\pi\) | |||||||
\(278\) | −83120.6 | + | 52182.9i | −1.07552 | + | 0.675209i | ||||
\(279\) | −87331.7 | − | 15398.9i | −1.12192 | − | 0.197826i | ||||
\(280\) | 2740.37 | + | 2613.14i | 0.0349537 | + | 0.0333308i | ||||
\(281\) | 48409.6 | + | 40620.5i | 0.613083 | + | 0.514438i | 0.895621 | − | 0.444819i | \(-0.146732\pi\) |
−0.282538 | + | 0.959256i | \(0.591176\pi\) | |||||||
\(282\) | −2068.82 | − | 667.394i | −0.0260150 | − | 0.00839235i | ||||
\(283\) | −29724.1 | + | 81666.3i | −0.371138 | + | 1.01969i | 0.603784 | + | 0.797148i | \(0.293659\pi\) |
−0.974922 | + | 0.222546i | \(0.928563\pi\) | |||||||
\(284\) | −48577.3 | + | 33064.0i | −0.602278 | + | 0.409938i | ||||
\(285\) | 746.147 | − | 28.0591i | 0.00918618 | − | 0.000345449i | ||||
\(286\) | −29575.8 | − | 15646.0i | −0.361580 | − | 0.191281i | ||||
\(287\) | 8707.57 | − | 23923.9i | 0.105714 | − | 0.290447i | ||||
\(288\) | −51894.3 | + | 63182.7i | −0.625654 | + | 0.761751i | ||||
\(289\) | 4219.10 | + | 3540.25i | 0.0505155 | + | 0.0423875i | ||||
\(290\) | −2096.66 | − | 9763.02i | −0.0249306 | − | 0.116088i | ||||
\(291\) | −2170.04 | − | 382.637i | −0.0256261 | − | 0.00451857i | ||||
\(292\) | 28820.7 | − | 2137.19i | 0.338018 | − | 0.0250656i | ||||
\(293\) | 7867.42 | + | 13626.8i | 0.0916425 | + | 0.158730i | 0.908202 | − | 0.418531i | \(-0.137455\pi\) |
−0.816560 | + | 0.577261i | \(0.804122\pi\) | |||||||
\(294\) | −6200.47 | − | 858.126i | −0.0717348 | − | 0.00992787i | ||||
\(295\) | 845.162 | + | 2322.06i | 0.00971172 | + | 0.0266827i | ||||
\(296\) | 7534.91 | + | 10234.5i | 0.0859993 | + | 0.116811i | ||||
\(297\) | 2983.52 | − | 5167.60i | 0.0338233 | − | 0.0585836i | ||||
\(298\) | −123153. | − | 95801.0i | −1.38679 | − | 1.07879i | ||||
\(299\) | −102075. | − | 121648.i | −1.14176 | − | 1.36070i | ||||
\(300\) | −10624.9 | − | 1071.56i | −0.118055 | − | 0.0119063i | ||||
\(301\) | 19063.6 | + | 108115.i | 0.210413 | + | 1.19331i | ||||
\(302\) | −33421.7 | − | 36961.9i | −0.366450 | − | 0.405267i | ||||
\(303\) | − | 9798.72i | − | 0.106729i | ||||||
\(304\) | 47093.0 | + | 79517.1i | 0.509576 | + | 0.860426i | ||||
\(305\) | −1695.89 | −0.0182304 | ||||||||
\(306\) | −70685.0 | + | 63914.7i | −0.754891 | + | 0.682587i | ||||
\(307\) | 106858. | − | 18841.9i | 1.13378 | − | 0.199916i | 0.424898 | − | 0.905241i | \(-0.360310\pi\) |
0.708884 | + | 0.705325i | \(0.249199\pi\) | |||||||
\(308\) | 1703.74 | − | 16893.2i | 0.0179599 | − | 0.178079i | ||||
\(309\) | −14898.6 | + | 12501.4i | −0.156037 | + | 0.130931i | ||||
\(310\) | −5251.87 | + | 6751.31i | −0.0546501 | + | 0.0702530i | ||||
\(311\) | −110041. | − | 63532.2i | −1.13772 | − | 0.656861i | −0.191852 | − | 0.981424i | \(-0.561449\pi\) |
−0.945864 | + | 0.324563i | \(0.894783\pi\) | |||||||
\(312\) | 13410.9 | − | 9873.47i | 0.137768 | − | 0.101429i | ||||
\(313\) | −124322. | + | 45249.6i | −1.26900 | + | 0.461877i | −0.886778 | − | 0.462195i | \(-0.847062\pi\) |
−0.382218 | + | 0.924072i | \(0.624840\pi\) | |||||||
\(314\) | 16621.6 | − | 120101.i | 0.168583 | − | 1.21811i | ||||
\(315\) | −4091.19 | + | 2362.05i | −0.0412315 | + | 0.0238050i | ||||
\(316\) | −5263.48 | − | 70979.7i | −0.0527107 | − | 0.710820i | ||||
\(317\) | 16052.8 | − | 91039.7i | 0.159746 | − | 0.905967i | −0.794571 | − | 0.607171i | \(-0.792304\pi\) |
0.954317 | − | 0.298795i | \(-0.0965848\pi\) | |||||||
\(318\) | 6600.45 | − | 1417.48i | 0.0652709 | − | 0.0140173i | ||||
\(319\) | −28781.1 | + | 34299.9i | −0.282830 | + | 0.337064i | ||||
\(320\) | 3046.31 | + | 7274.24i | 0.0297491 | + | 0.0710375i | ||||
\(321\) | 3506.41 | + | 1276.23i | 0.0340293 | + | 0.0123856i | ||||
\(322\) | 37681.8 | − | 71230.2i | 0.363430 | − | 0.686993i | ||||
\(323\) | 40618.0 | + | 99762.1i | 0.389326 | + | 0.956226i | ||||
\(324\) | −56554.7 | − | 83089.8i | −0.538739 | − | 0.791512i | ||||
\(325\) | −141416. | − | 51471.3i | −1.33885 | − | 0.487302i | ||||
\(326\) | −1140.59 | + | 3535.65i | −0.0107323 | + | 0.0332685i | ||||
\(327\) | −13964.1 | + | 16641.8i | −0.130593 | + | 0.155634i | ||||
\(328\) | 36592.4 | − | 38374.1i | 0.340129 | − | 0.356690i | ||||
\(329\) | 2699.44 | − | 15309.3i | 0.0249391 | − | 0.141437i | ||||
\(330\) | −151.912 | − | 241.976i | −0.00139497 | − | 0.00222201i | ||||
\(331\) | 41940.2 | − | 24214.2i | 0.382802 | − | 0.221011i | −0.296234 | − | 0.955115i | \(-0.595731\pi\) |
0.679037 | + | 0.734104i | \(0.262398\pi\) | |||||||
\(332\) | −69572.7 | + | 96610.5i | −0.631194 | + | 0.876493i | ||||
\(333\) | −14899.5 | + | 5422.98i | −0.134364 | + | 0.0489046i | ||||
\(334\) | 6203.60 | + | 167545.i | 0.0556097 | + | 1.50189i | ||||
\(335\) | −6150.51 | − | 3551.00i | −0.0548052 | − | 0.0316418i | ||||
\(336\) | 7204.11 | + | 4417.80i | 0.0638119 | + | 0.0391316i | ||||
\(337\) | −116649. | + | 97880.4i | −1.02712 | + | 0.861859i | −0.990506 | − | 0.137471i | \(-0.956103\pi\) |
−0.0366172 | + | 0.999329i | \(0.511658\pi\) | |||||||
\(338\) | 111580. | − | 45354.4i | 0.976680 | − | 0.396996i | ||||
\(339\) | −13422.9 | + | 2366.81i | −0.116801 | + | 0.0205951i | ||||
\(340\) | 2261.19 | + | 8909.34i | 0.0195605 | + | 0.0770704i | ||||
\(341\) | 38353.8 | 0.329837 | ||||||||
\(342\) | −111738. | + | 28427.9i | −0.955320 | + | 0.243048i | ||||
\(343\) | − | 118544.i | − | 1.00761i | ||||||
\(344\) | −53913.8 | + | 222199.i | −0.455600 | + | 1.87770i | ||||
\(345\) | −235.466 | − | 1335.40i | −0.00197829 | − | 0.0112195i | ||||
\(346\) | 32211.9 | − | 13093.3i | 0.269069 | − | 0.109370i | ||||
\(347\) | 60588.5 | + | 72206.5i | 0.503189 | + | 0.599677i | 0.956521 | − | 0.291665i | \(-0.0942092\pi\) |
−0.453332 | + | 0.891342i | \(0.649765\pi\) | |||||||
\(348\) | −9149.97 | − | 20320.7i | −0.0755547 | − | 0.167796i | ||||
\(349\) | −68961.6 | + | 119445.i | −0.566183 | + | 0.980657i | 0.430756 | + | 0.902468i | \(0.358247\pi\) |
−0.996939 | + | 0.0781887i | \(0.975086\pi\) | |||||||
\(350\) | −2825.67 | − | 76314.8i | −0.0230667 | − | 0.622978i | ||||
\(351\) | 14314.8 | + | 39329.7i | 0.116191 | + | 0.319232i | ||||
\(352\) | 17358.2 | − | 30808.9i | 0.140094 | − | 0.248651i | ||||
\(353\) | 55756.5 | + | 96573.0i | 0.447451 | + | 0.775008i | 0.998219 | − | 0.0596499i | \(-0.0189984\pi\) |
−0.550768 | + | 0.834658i | \(0.685665\pi\) | |||||||
\(354\) | 2932.30 | + | 4670.77i | 0.0233992 | + | 0.0372719i | ||||
\(355\) | −6963.78 | − | 1227.90i | −0.0552571 | − | 0.00974332i | ||||
\(356\) | 5449.89 | + | 1537.95i | 0.0430019 | + | 0.0121351i | ||||
\(357\) | 7545.31 | + | 6331.26i | 0.0592026 | + | 0.0496768i | ||||
\(358\) | 61655.9 | − | 191124.i | 0.481071 | − | 1.49125i | ||||
\(359\) | −25263.6 | + | 69411.2i | −0.196023 | + | 0.538568i | −0.998294 | − | 0.0583920i | \(-0.981403\pi\) |
0.802271 | + | 0.596960i | \(0.203625\pi\) | |||||||
\(360\) | −9778.38 | + | 1090.17i | −0.0754505 | + | 0.00841177i | ||||
\(361\) | −12927.1 | + | 129678.i | −0.0991944 | + | 0.995068i | ||||
\(362\) | 87245.0 | − | 164920.i | 0.665769 | − | 1.25851i | ||||
\(363\) | 4941.19 | − | 13575.8i | 0.0374989 | − | 0.103027i | ||||
\(364\) | 83088.6 | + | 85319.7i | 0.627103 | + | 0.643942i | ||||
\(365\) | 2664.07 | + | 2235.42i | 0.0199968 | + | 0.0167793i | ||||
\(366\) | −3700.48 | + | 794.698i | −0.0276246 | + | 0.00593253i | ||||
\(367\) | 211573. | + | 37306.0i | 1.57082 | + | 0.276979i | 0.890171 | − | 0.455627i | \(-0.150585\pi\) |
0.680653 | + | 0.732606i | \(0.261696\pi\) | |||||||
\(368\) | 131380. | − | 104437.i | 0.970135 | − | 0.771182i | ||||
\(369\) | 33076.4 | + | 57290.0i | 0.242921 | + | 0.420752i | ||||
\(370\) | −209.660 | + | 1514.92i | −0.00153148 | + | 0.0110659i | ||||
\(371\) | 16512.0 | + | 45366.2i | 0.119964 | + | 0.329598i | ||||
\(372\) | −8296.06 | + | 17192.6i | −0.0599496 | + | 0.124238i | ||||
\(373\) | −43607.7 | + | 75530.7i | −0.313433 | + | 0.542883i | −0.979103 | − | 0.203364i | \(-0.934813\pi\) |
0.665670 | + | 0.746246i | \(0.268146\pi\) | |||||||
\(374\) | 25306.7 | − | 32531.9i | 0.180923 | − | 0.232577i | ||||
\(375\) | −1656.96 | − | 1974.69i | −0.0117828 | − | 0.0140422i | ||||
\(376\) | 17935.1 | − | 26955.2i | 0.126861 | − | 0.190663i | ||||
\(377\) | −54536.3 | − | 309291.i | −0.383710 | − | 2.17613i | ||||
\(378\) | −15753.5 | + | 14244.6i | −0.110254 | + | 0.0996937i | ||||
\(379\) | 281714.i | 1.96124i | 0.195926 | + | 0.980619i | \(0.437229\pi\) | ||||
−0.195926 | + | 0.980619i | \(0.562771\pi\) | |||||||
\(380\) | −2616.03 | + | 10808.9i | −0.0181166 | + | 0.0748540i | ||||
\(381\) | 7447.55 | 0.0513055 | ||||||||
\(382\) | 114671. | + | 126817.i | 0.785825 | + | 0.869065i | ||||
\(383\) | 134510. | − | 23717.8i | 0.916977 | − | 0.161688i | 0.304807 | − | 0.952414i | \(-0.401408\pi\) |
0.612170 | + | 0.790726i | \(0.290297\pi\) | |||||||
\(384\) | 10055.9 | + | 14445.1i | 0.0681957 | + | 0.0979621i | ||||
\(385\) | 1565.17 | − | 1313.33i | 0.0105594 | − | 0.00886039i | ||||
\(386\) | −118025. | − | 91812.0i | −0.792134 | − | 0.616205i | ||||
\(387\) | −247041. | − | 142629.i | −1.64948 | − | 0.952327i | ||||
\(388\) | 14262.8 | − | 29558.0i | 0.0947418 | − | 0.196341i | ||||
\(389\) | −15617.5 | + | 5684.29i | −0.103208 | + | 0.0375645i | −0.393108 | − | 0.919492i | \(-0.628600\pi\) |
0.289900 | + | 0.957057i | \(0.406378\pi\) | |||||||
\(390\) | 1985.09 | + | 274.731i | 0.0130512 | + | 0.00180625i | ||||
\(391\) | 169407. | − | 97806.9i | 1.10809 | − | 0.639759i | ||||
\(392\) | 37382.0 | − | 85407.5i | 0.243271 | − | 0.555807i | ||||
\(393\) | 3565.62 | − | 20221.7i | 0.0230861 | − | 0.130928i | ||||
\(394\) | −9079.99 | − | 42280.6i | −0.0584915 | − | 0.272363i | ||||
\(395\) | 5505.40 | − | 6561.08i | 0.0352853 | − | 0.0420514i | ||||
\(396\) | 30780.0 | + | 31606.5i | 0.196281 | + | 0.201551i | ||||
\(397\) | −72026.8 | − | 26215.6i | −0.456996 | − | 0.166333i | 0.103256 | − | 0.994655i | \(-0.467074\pi\) |
−0.560253 | + | 0.828322i | \(0.689296\pi\) | |||||||
\(398\) | −64561.1 | − | 34153.8i | −0.407573 | − | 0.215612i | ||||
\(399\) | 4493.78 | + | 11037.2i | 0.0282271 | + | 0.0693287i | ||||
\(400\) | 58338.9 | − | 147965.i | 0.364618 | − | 0.924784i | ||||
\(401\) | −253861. | − | 92397.8i | −1.57873 | − | 0.574610i | −0.603801 | − | 0.797135i | \(-0.706348\pi\) |
−0.974927 | + | 0.222525i | \(0.928570\pi\) | |||||||
\(402\) | −15084.6 | − | 4866.24i | −0.0933431 | − | 0.0301121i | ||||
\(403\) | −172923. | + | 206081.i | −1.06474 | + | 1.26890i | ||||
\(404\) | 140457. | + | 39636.8i | 0.860558 | + | 0.242849i | ||||
\(405\) | 2100.28 | − | 11911.3i | 0.0128046 | − | 0.0726188i | ||||
\(406\) | 134976. | − | 84737.8i | 0.818852 | − | 0.514073i | ||||
\(407\) | 5938.88 | − | 3428.81i | 0.0358522 | − | 0.0206993i | ||||
\(408\) | 9108.94 | + | 18380.9i | 0.0547202 | + | 0.110419i | ||||
\(409\) | 165272. | − | 60154.0i | 0.987989 | − | 0.359598i | 0.203047 | − | 0.979169i | \(-0.434915\pi\) |
0.784941 | + | 0.619570i | \(0.212693\pi\) | |||||||
\(410\) | 6376.38 | − | 236.095i | 0.0379320 | − | 0.00140449i | ||||
\(411\) | 19323.4 | + | 11156.4i | 0.114393 | + | 0.0660449i | ||||
\(412\) | −118931. | − | 264129.i | −0.700651 | − | 1.55604i | ||||
\(413\) | −30211.8 | + | 25350.7i | −0.177123 | + | 0.148624i | ||||
\(414\) | 78845.5 | + | 193974.i | 0.460019 | + | 1.13173i | ||||
\(415\) | −14108.9 | + | 2487.78i | −0.0819213 | + | 0.0144449i | ||||
\(416\) | 87279.8 | + | 232174.i | 0.504344 | + | 1.34161i | ||||
\(417\) | −26357.7 | −0.151578 | ||||||||
\(418\) | 45457.6 | − | 20500.2i | 0.260168 | − | 0.117329i | ||||
\(419\) | − | 89944.2i | − | 0.512324i | −0.966634 | − | 0.256162i | \(-0.917542\pi\) | ||
0.966634 | − | 0.256162i | \(-0.0824581\pi\) | |||||||
\(420\) | 250.168 | + | 985.687i | 0.00141818 | + | 0.00558779i | ||||
\(421\) | 14276.4 | + | 80965.4i | 0.0805478 | + | 0.456810i | 0.998229 | + | 0.0594915i | \(0.0189479\pi\) |
−0.917681 | + | 0.397318i | \(0.869941\pi\) | |||||||
\(422\) | −78108.4 | − | 192161.i | −0.438604 | − | 1.07904i | ||||
\(423\) | 25964.1 | + | 30942.8i | 0.145108 | + | 0.172933i | ||||
\(424\) | −6380.96 | + | 100346.i | −0.0354940 | + | 0.558173i | ||||
\(425\) | 92689.7 | − | 160543.i | 0.513161 | − | 0.888820i | ||||
\(426\) | −15770.6 | + | 583.930i | −0.0869017 | + | 0.00321767i | ||||
\(427\) | −9257.25 | − | 25434.1i | −0.0507722 | − | 0.139496i | ||||
\(428\) | −32477.5 | + | 45099.1i | −0.177294 | + | 0.246196i | ||||
\(429\) | −4492.99 | − | 7782.08i | −0.0244130 | − | 0.0422845i | ||||
\(430\) | −23302.9 | + | 14629.5i | −0.126030 | + | 0.0791211i | ||||
\(431\) | −44948.7 | − | 7925.68i | −0.241971 | − | 0.0426660i | 0.0513474 | − | 0.998681i | \(-0.483648\pi\) |
−0.293318 | + | 0.956015i | \(0.594760\pi\) | |||||||
\(432\) | −41952.7 | + | 14022.5i | −0.224798 | + | 0.0751378i | ||||
\(433\) | 233398. | + | 195844.i | 1.24486 | + | 1.04456i | 0.997128 | + | 0.0757357i | \(0.0241305\pi\) |
0.247735 | + | 0.968828i | \(0.420314\pi\) | |||||||
\(434\) | −129921. | − | 41912.1i | −0.689764 | − | 0.222515i | ||||
\(435\) | 917.223 | − | 2520.05i | 0.00484726 | − | 0.0133177i | ||||
\(436\) | −182061. | − | 267482.i | −0.957731 | − | 1.40709i | ||||
\(437\) | 236502. | − | 8893.72i | 1.23843 | − | 0.0465716i | ||||
\(438\) | 6860.62 | + | 3629.37i | 0.0357614 | + | 0.0189183i | ||||
\(439\) | 39489.9 | − | 108498.i | 0.204907 | − | 0.562977i | −0.794088 | − | 0.607803i | \(-0.792051\pi\) |
0.998995 | + | 0.0448257i | \(0.0142733\pi\) | |||||||
\(440\) | 4083.04 | − | 1198.72i | 0.0210901 | − | 0.00619174i | ||||
\(441\) | 89101.2 | + | 74764.8i | 0.458148 | + | 0.384432i | ||||
\(442\) | 60700.9 | + | 282651.i | 0.310707 | + | 1.44679i | ||||
\(443\) | 101076. | + | 17822.4i | 0.515039 | + | 0.0908152i | 0.425126 | − | 0.905134i | \(-0.360230\pi\) |
0.0899132 | + | 0.995950i | \(0.471341\pi\) | |||||||
\(444\) | 252.412 | + | 3403.85i | 0.00128039 | + | 0.0172665i | ||||
\(445\) | 340.716 | + | 590.138i | 0.00172057 | + | 0.00298012i | ||||
\(446\) | 78467.4 | + | 10859.6i | 0.394475 | + | 0.0545941i | ||||
\(447\) | −14331.8 | − | 39376.2i | −0.0717273 | − | 0.197069i | ||||
\(448\) | −92466.9 | + | 85394.6i | −0.460713 | + | 0.425476i | ||||
\(449\) | 107849. | − | 186800.i | 0.534962 | − | 0.926582i | −0.464203 | − | 0.885729i | \(-0.653659\pi\) |
0.999165 | − | 0.0408532i | \(-0.0130076\pi\) | |||||||
\(450\) | 156622. | + | 121837.i | 0.773443 | + | 0.601665i | ||||
\(451\) | −18390.9 | − | 21917.4i | −0.0904170 | − | 0.107755i | ||||
\(452\) | 20370.4 | − | 201980.i | 0.0997063 | − | 0.988625i | ||||
\(453\) | −2323.93 | − | 13179.7i | −0.0113247 | − | 0.0642256i | ||||
\(454\) | −11201.1 | − | 12387.6i | −0.0543437 | − | 0.0601001i | ||||
\(455\) | 14331.2i | 0.0692246i | ||||||||
\(456\) | −643.166 | + | 24811.3i | −0.00309309 | + | 0.119322i | ||||
\(457\) | −389470. | −1.86484 | −0.932421 | − | 0.361375i | \(-0.882307\pi\) | ||||
−0.932421 | + | 0.361375i | \(0.882307\pi\) | |||||||
\(458\) | −188683. | + | 170611.i | −0.899502 | + | 0.813347i | ||||
\(459\) | −50773.2 | + | 8952.68i | −0.240996 | + | 0.0424940i | ||||
\(460\) | 20094.3 | + | 2026.58i | 0.0949637 | + | 0.00957743i | ||||
\(461\) | −54286.0 | + | 45551.4i | −0.255438 | + | 0.214338i | −0.761510 | − | 0.648153i | \(-0.775542\pi\) |
0.506072 | + | 0.862492i | \(0.331097\pi\) | |||||||
\(462\) | 2799.81 | − | 3599.17i | 0.0131173 | − | 0.0168624i | ||||
\(463\) | −144753. | − | 83573.3i | −0.675253 | − | 0.389857i | 0.122811 | − | 0.992430i | \(-0.460809\pi\) |
−0.798064 | + | 0.602573i | \(0.794142\pi\) | |||||||
\(464\) | 328294. | − | 48958.3i | 1.52485 | − | 0.227400i | ||||
\(465\) | −2158.63 | + | 785.676i | −0.00998324 | + | 0.00363360i | ||||
\(466\) | −4737.58 | + | 34231.8i | −0.0218165 | + | 0.157637i | ||||
\(467\) | −85114.8 | + | 49141.1i | −0.390276 | + | 0.225326i | −0.682280 | − | 0.731091i | \(-0.739011\pi\) |
0.292004 | + | 0.956417i | \(0.405678\pi\) | |||||||
\(468\) | −308602. | + | 22884.3i | −1.40899 | + | 0.104483i | ||||
\(469\) | 19682.7 | − | 111626.i | 0.0894827 | − | 0.507482i | ||||
\(470\) | 3809.24 | − | 818.056i | 0.0172442 | − | 0.00370328i | ||||
\(471\) | 20930.6 | − | 24944.1i | 0.0943496 | − | 0.112441i | ||||
\(472\) | −78813.2 | + | 23138.4i | −0.353765 | + | 0.103860i | ||||
\(473\) | 115934. | + | 42196.6i | 0.518190 | + | 0.188606i | ||||
\(474\) | 8938.40 | − | 16896.3i | 0.0397835 | − | 0.0752030i | ||||
\(475\) | 189887. | − | 119363.i | 0.841603 | − | 0.529034i | ||||
\(476\) | −121275. | + | 82545.3i | −0.535251 | + | 0.364316i | ||||
\(477\) | −117879. | − | 42904.4i | −0.518082 | − | 0.188567i | ||||
\(478\) | −88979.8 | + | 275824.i | −0.389435 | + | 1.20719i | ||||
\(479\) | −255987. | + | 305073.i | −1.11570 | + | 1.32964i | −0.177269 | + | 0.984163i | \(0.556726\pi\) |
−0.938429 | + | 0.345473i | \(0.887718\pi\) | |||||||
\(480\) | −345.833 | + | 2089.57i | −0.00150101 | + | 0.00906930i | ||||
\(481\) | −8352.57 | + | 47369.8i | −0.0361019 | + | 0.204744i | ||||
\(482\) | 103293. | + | 164533.i | 0.444609 | + | 0.708204i | ||||
\(483\) | 18742.3 | − | 10820.9i | 0.0803395 | − | 0.0463840i | ||||
\(484\) | 174611. | + | 125743.i | 0.745384 | + | 0.536778i | ||||
\(485\) | 3711.17 | − | 1350.75i | 0.0157771 | − | 0.00574239i | ||||
\(486\) | −3070.26 | − | 82920.6i | −0.0129988 | − | 0.351067i | ||||
\(487\) | 151988. | + | 87750.4i | 0.640843 | + | 0.369991i | 0.784939 | − | 0.619573i | \(-0.212694\pi\) |
−0.144096 | + | 0.989564i | \(0.546027\pi\) | |||||||
\(488\) | 3577.42 | − | 56258.0i | 0.0150221 | − | 0.236235i | ||||
\(489\) | −764.308 | + | 641.331i | −0.00319632 | + | 0.00268203i | ||||
\(490\) | 10393.2 | − | 4224.56i | 0.0432869 | − | 0.0175950i | ||||
\(491\) | 288778. | − | 50919.4i | 1.19785 | − | 0.211213i | 0.461080 | − | 0.887359i | \(-0.347462\pi\) |
0.736768 | + | 0.676146i | \(0.236351\pi\) | |||||||
\(492\) | 13802.8 | − | 3503.16i | 0.0570214 | − | 0.0144720i | ||||
\(493\) | 386869. | 1.59173 | ||||||||
\(494\) | −94800.4 | + | 336679.i | −0.388469 | + | 1.37963i | ||||
\(495\) | 5308.96i | 0.0216670i | ||||||||
\(496\) | −212884. | − | 188463.i | −0.865325 | − | 0.766061i | ||||
\(497\) | −19597.4 | − | 111142.i | −0.0793387 | − | 0.449952i | ||||
\(498\) | −29620.3 | + | 12039.9i | −0.119435 | + | 0.0485472i | ||||
\(499\) | −172306. | − | 205346.i | −0.691987 | − | 0.824678i | 0.299607 | − | 0.954063i | \(-0.403144\pi\) |
−0.991595 | + | 0.129384i | \(0.958700\pi\) | |||||||
\(500\) | 35008.1 | − | 15763.4i | 0.140032 | − | 0.0630535i | ||||
\(501\) | −22513.7 | + | 38994.8i | −0.0896955 | + | 0.155357i | ||||
\(502\) | −13729.8 | − | 370809.i | −0.0544823 | − | 1.47144i | ||||
\(503\) | −136035. | − | 373752.i | −0.537668 | − | 1.47723i | −0.849756 | − | 0.527177i | \(-0.823251\pi\) |
0.312088 | − | 0.950053i | \(-0.398972\pi\) | |||||||
\(504\) | −69726.6 | − | 140701.i | −0.274497 | − | 0.553905i | ||||
\(505\) | 8781.08 | + | 15209.3i | 0.0344322 | + | 0.0596384i | ||||
\(506\) | −48150.8 | − | 76697.9i | −0.188062 | − | 0.299559i | ||||
\(507\) | 31855.9 | + | 5617.05i | 0.123929 | + | 0.0218520i | ||||
\(508\) | −30126.1 | + | 106755.i | −0.116739 | + | 0.413675i | ||||
\(509\) | −105103. | − | 88191.7i | −0.405676 | − | 0.340402i | 0.417007 | − | 0.908903i | \(-0.363079\pi\) |
−0.822682 | + | 0.568501i | \(0.807524\pi\) | |||||||
\(510\) | −757.897 | + | 2349.37i | −0.00291387 | + | 0.00903256i | ||||
\(511\) | −18983.6 | + | 52156.9i | −0.0727002 | + | 0.199742i | ||||
\(512\) | −247736. | + | 85711.0i | −0.945038 | + | 0.326962i | ||||
\(513\) | −59375.6 | − | 19116.5i | −0.225618 | − | 0.0726395i | ||||
\(514\) | −122640. | + | 231827.i | −0.464200 | + | 0.877481i | ||||
\(515\) | 11922.1 | − | 32755.6i | 0.0449507 | − | 0.123501i | ||||
\(516\) | −43992.2 | + | 42841.8i | −0.165225 | + | 0.160905i | ||||
\(517\) | −13382.8 | − | 11229.5i | −0.0500687 | − | 0.0420126i | ||||
\(518\) | −23864.5 | + | 5125.04i | −0.0889392 | + | 0.0191002i | ||||
\(519\) | 9196.44 | + | 1621.58i | 0.0341417 | + | 0.00602010i | ||||
\(520\) | −11967.9 | + | 27343.4i | −0.0442601 | + | 0.101122i | ||||
\(521\) | 206253. | + | 357241.i | 0.759845 | + | 1.31609i | 0.942929 | + | 0.332993i | \(0.108059\pi\) |
−0.183084 | + | 0.983097i | \(0.558608\pi\) | |||||||
\(522\) | −56769.9 | + | 410197.i | −0.208342 | + | 1.50540i | ||||
\(523\) | −66765.9 | − | 183438.i | −0.244091 | − | 0.670634i | −0.999875 | − | 0.0158131i | \(-0.994966\pi\) |
0.755784 | − | 0.654821i | \(-0.227256\pi\) | |||||||
\(524\) | 275438. | + | 132909.i | 1.00314 | + | 0.484051i | ||||
\(525\) | 10254.7 | − | 17761.7i | 0.0372054 | − | 0.0644416i | ||||
\(526\) | −206799. | + | 265841.i | −0.747442 | + | 0.960840i | ||||
\(527\) | −213010. | − | 253855.i | −0.766971 | − | 0.914040i | ||||
\(528\) | 8347.59 | − | 4528.97i | 0.0299429 | − | 0.0162455i | ||||
\(529\) | −26040.6 | − | 147684.i | −0.0930551 | − | 0.527742i | ||||
\(530\) | −8974.75 | + | 8115.14i | −0.0319500 | + | 0.0288898i | ||||
\(531\) | − | 102477.i | − | 0.363443i | ||||||
\(532\) | −176387. | + | 19768.1i | −0.623223 | + | 0.0698462i | ||||
\(533\) | 200684. | 0.706411 | ||||||||
\(534\) | 1019.99 | + | 1128.04i | 0.00357697 | + | 0.00395586i | ||||
\(535\) | −6586.23 | + | 1161.33i | −0.0230107 | + | 0.00405740i | ||||
\(536\) | 130772. | − | 196542.i | 0.455184 | − | 0.684108i | ||||
\(537\) | 41315.7 | − | 34668.0i | 0.143274 | − | 0.120221i | ||||
\(538\) | 43176.4 | + | 33587.1i | 0.149170 | + | 0.116040i | ||||
\(539\) | −43566.0 | − | 25152.8i | −0.149958 | − | 0.0865784i | ||||
\(540\) | −4794.03 | − | 2313.29i | −0.0164404 | − | 0.00793311i | ||||
\(541\) | −154367. | + | 56184.8i | −0.527423 | + | 0.191966i | −0.591987 | − | 0.805947i | \(-0.701656\pi\) |
0.0645645 | + | 0.997914i | \(0.479434\pi\) | |||||||
\(542\) | 182652. | + | 25278.5i | 0.621764 | + | 0.0860502i | ||||
\(543\) | 43394.2 | − | 25053.7i | 0.147174 | − | 0.0849712i | ||||
\(544\) | −300321. | + | 56217.1i | −1.01482 | + | 0.189964i | ||||
\(545\) | 6761.22 | − | 38344.8i | 0.0227631 | − | 0.129096i | ||||
\(546\) | 6715.66 | + | 31271.2i | 0.0225270 | + | 0.104896i | ||||
\(547\) | −264723. | + | 315484.i | −0.884741 | + | 1.05439i | 0.113406 | + | 0.993549i | \(0.463824\pi\) |
−0.998147 | + | 0.0608450i | \(0.980620\pi\) | |||||||
\(548\) | −238083. | + | 231857.i | −0.792805 | + | 0.772074i | ||||
\(549\) | 66087.5 | + | 24053.9i | 0.219268 | + | 0.0798069i | ||||
\(550\) | −75860.6 | − | 40131.4i | −0.250779 | − | 0.132666i | ||||
\(551\) | 413864. | + | 218634.i | 1.36319 | + | 0.720137i | ||||
\(552\) | 44796.1 | − | 4994.20i | 0.147015 | − | 0.0163903i | ||||
\(553\) | 128452. | + | 46752.7i | 0.420040 | + | 0.152882i | ||||
\(554\) | 185363. | + | 59797.4i | 0.603953 | + | 0.194833i | ||||
\(555\) | −264.013 | + | 314.638i | −0.000857115 | + | 0.00102147i | ||||
\(556\) | 106620. | − | 377817.i | 0.344895 | − | 1.22217i | ||||
\(557\) | 4951.95 | − | 28083.9i | 0.0159612 | − | 0.0905205i | −0.975787 | − | 0.218725i | \(-0.929810\pi\) |
0.991748 | + | 0.128204i | \(0.0409214\pi\) | |||||||
\(558\) | 300420. | − | 188603.i | 0.964852 | − | 0.605732i | ||||
\(559\) | −749432. | + | 432685.i | −2.39833 | + | 1.38468i | ||||
\(560\) | −15141.0 | − | 401.245i | −0.0482812 | − | 0.00127948i | ||||
\(561\) | 10401.6 | − | 3785.86i | 0.0330501 | − | 0.0120293i | ||||
\(562\) | −252604. | + | 9353.05i | −0.799775 | + | 0.0296129i | ||||
\(563\) | 261239. | + | 150827.i | 0.824180 | + | 0.475840i | 0.851856 | − | 0.523777i | \(-0.175477\pi\) |
−0.0276761 | + | 0.999617i | \(0.508811\pi\) | |||||||
\(564\) | 7928.53 | − | 3570.04i | 0.0249250 | − | 0.0112232i | ||||
\(565\) | 18713.5 | − | 15702.5i | 0.0586218 | − | 0.0491895i | ||||
\(566\) | −130902. | − | 322042.i | −0.408614 | − | 1.00526i | ||||
\(567\) | 190105. | − | 33520.6i | 0.591326 | − | 0.104267i | ||||
\(568\) | 55423.3 | − | 228421.i | 0.171789 | − | 0.708009i | ||||
\(569\) | −262214. | −0.809901 | −0.404950 | − | 0.914339i | \(-0.632711\pi\) | ||||
−0.404950 | + | 0.914339i | \(0.632711\pi\) | |||||||
\(570\) | −2138.50 | + | 2084.99i | −0.00658203 | + | 0.00641733i | ||||
\(571\) | − | 275355.i | − | 0.844541i | −0.906470 | − | 0.422270i | \(-0.861233\pi\) | ||
0.906470 | − | 0.422270i | \(-0.138767\pi\) | |||||||
\(572\) | 129724. | − | 32924.1i | 0.396488 | − | 0.100629i | ||||
\(573\) | 7973.47 | + | 45219.8i | 0.0242850 | + | 0.137727i | ||||
\(574\) | 38347.3 | + | 94341.1i | 0.116389 | + | 0.286337i | ||||
\(575\) | −261817. | − | 312022.i | −0.791886 | − | 0.943734i | ||||
\(576\) | −15537.1 | − | 326680.i | −0.0468301 | − | 0.984640i | ||||
\(577\) | −8506.76 | + | 14734.1i | −0.0255513 | + | 0.0442561i | −0.878518 | − | 0.477709i | \(-0.841467\pi\) |
0.852967 | + | 0.521965i | \(0.174801\pi\) | |||||||
\(578\) | −22015.5 | + | 815.158i | −0.0658981 | + | 0.00243998i | ||||
\(579\) | −13735.0 | − | 37736.6i | −0.0409705 | − | 0.112566i | ||||
\(580\) | 32412.6 | + | 23341.5i | 0.0963514 | + | 0.0693861i | ||||
\(581\) | −114326. | − | 198019.i | −0.338683 | − | 0.586616i | ||||
\(582\) | 7464.92 | − | 4686.45i | 0.0220383 | − | 0.0138356i | ||||
\(583\) | 53430.4 | + | 9421.23i | 0.157200 | + | 0.0277185i | ||||
\(584\) | −79775.9 | + | 83660.3i | −0.233909 | + | 0.245298i | ||||
\(585\) | −28525.9 | − | 23936.1i | −0.0833543 | − | 0.0699426i | ||||
\(586\) | −59899.7 | − | 19323.4i | −0.174433 | − | 0.0562715i | ||||
\(587\) | 140107. | − | 384941.i | 0.406615 | − | 1.11717i | −0.552342 | − | 0.833617i | \(-0.686266\pi\) |
0.958958 | − | 0.283549i | \(-0.0915119\pi\) | |||||||
\(588\) | 20698.6 | − | 14088.4i | 0.0598668 | − | 0.0407481i | ||||
\(589\) | −84410.3 | − | 391949.i | −0.243313 | − | 1.12979i | ||||
\(590\) | −8737.11 | − | 4622.06i | −0.0250994 | − | 0.0132780i | ||||
\(591\) | 3972.20 | − | 10913.5i | 0.0113725 | − | 0.0312457i | ||||
\(592\) | −49812.5 | − | 10150.8i | −0.142133 | − | 0.0289638i | ||||
\(593\) | 422035. | + | 354130.i | 1.20016 | + | 1.00705i | 0.999625 | + | 0.0273681i | \(0.00871261\pi\) |
0.200535 | + | 0.979686i | \(0.435732\pi\) | |||||||
\(594\) | 5011.55 | + | 23336.1i | 0.0142036 | + | 0.0661386i | ||||
\(595\) | −17385.3 | − | 3065.50i | −0.0491076 | − | 0.00865900i | ||||
\(596\) | 622399. | − | 46153.8i | 1.75217 | − | 0.129932i | ||||
\(597\) | −9807.76 | − | 16987.5i | −0.0275183 | − | 0.0476630i | ||||
\(598\) | 629204. | + | 87079.9i | 1.75950 | + | 0.243509i | ||||
\(599\) | 196915. | + | 541020.i | 0.548814 | + | 1.50785i | 0.835313 | + | 0.549774i | \(0.185286\pi\) |
−0.286499 | + | 0.958080i | \(0.592492\pi\) | |||||||
\(600\) | 34398.4 | − | 25325.0i | 0.0955510 | − | 0.0703472i | ||||
\(601\) | 203661. | − | 352750.i | 0.563843 | − | 0.976604i | −0.433314 | − | 0.901243i | \(-0.642656\pi\) |
0.997156 | − | 0.0753610i | \(-0.0240109\pi\) | |||||||
\(602\) | −346608. | − | 269628.i | −0.956415 | − | 0.743999i | ||||
\(603\) | 189315. | + | 225617.i | 0.520655 | + | 0.620493i | ||||
\(604\) | 198321. | + | 20001.3i | 0.543618 | + | 0.0548258i | ||||
\(605\) | 4496.33 | + | 25500.0i | 0.0122842 | + | 0.0696673i | ||||
\(606\) | 26287.7 | + | 29072.3i | 0.0715826 | + | 0.0791651i | ||||
\(607\) | 495565.i | 1.34500i | 0.740096 | + | 0.672501i | \(0.234780\pi\) | ||||
−0.740096 | + | 0.672501i | \(0.765220\pi\) | |||||||
\(608\) | −353048. | − | 109583.i | −0.955051 | − | 0.296440i | ||||
\(609\) | 42801.3 | 0.115404 | ||||||||
\(610\) | 5031.60 | − | 4549.67i | 0.0135222 | − | 0.0122270i | ||||
\(611\) | 120676. | − | 21278.4i | 0.323250 | − | 0.0569977i | ||||
\(612\) | 38250.0 | − | 379263.i | 0.102124 | − | 1.01260i | ||||
\(613\) | −198660. | + | 166695.i | −0.528676 | + | 0.443612i | −0.867644 | − | 0.497186i | \(-0.834367\pi\) |
0.338968 | + | 0.940798i | \(0.389922\pi\) | |||||||
\(614\) | −266493. | + | 342578.i | −0.706885 | + | 0.908704i | ||||
\(615\) | 1484.06 | + | 856.820i | 0.00392374 | + | 0.00226537i | ||||
\(616\) | 40265.7 | + | 54692.1i | 0.106114 | + | 0.144133i | ||||
\(617\) | −280206. | + | 101987.i | −0.736049 | + | 0.267900i | −0.682723 | − | 0.730677i | \(-0.739204\pi\) |
−0.0533259 | + | 0.998577i | \(0.516982\pi\) | |||||||
\(618\) | 10664.9 | − | 77060.4i | 0.0279242 | − | 0.201769i | ||||
\(619\) | 353496. | − | 204091.i | 0.922578 | − | 0.532651i | 0.0381215 | − | 0.999273i | \(-0.487863\pi\) |
0.884457 | + | 0.466622i | \(0.154529\pi\) | |||||||
\(620\) | −2530.18 | − | 34120.3i | −0.00658216 | − | 0.0887625i | ||||
\(621\) | −19670.8 | + | 111559.i | −0.0510082 | + | 0.289282i | ||||
\(622\) | 496928. | − | 106718.i | 1.28444 | − | 0.275840i | ||||
\(623\) | −6990.75 | + | 8331.26i | −0.0180114 | + | 0.0214652i | ||||
\(624\) | −13301.2 | + | 65272.4i | −0.0341603 | + | 0.167633i | ||||
\(625\) | −360549. | − | 131229.i | −0.923005 | − | 0.335946i | ||||
\(626\) | 247463. | − | 467781.i | 0.631483 | − | 1.19370i | ||||
\(627\) | 13266.9 | + | 1828.29i | 0.0337470 | + | 0.00465061i | ||||
\(628\) | 272888. | + | 400925.i | 0.691934 | + | 1.01658i | ||||
\(629\) | −55678.0 | − | 20265.1i | −0.140729 | − | 0.0512211i | ||||
\(630\) | 5801.50 | − | 17983.8i | 0.0146170 | − | 0.0453107i | ||||
\(631\) | 25799.0 | − | 30746.0i | 0.0647953 | − | 0.0772201i | −0.732673 | − | 0.680581i | \(-0.761728\pi\) |
0.797468 | + | 0.603361i | \(0.206172\pi\) | |||||||
\(632\) | 206038. | + | 196472.i | 0.515839 | + | 0.491888i | ||||
\(633\) | 9673.57 | − | 54861.5i | 0.0241423 | − | 0.136918i | ||||
\(634\) | 196611. | + | 313176.i | 0.489135 | + | 0.779129i | ||||
\(635\) | −11559.9 | + | 6674.09i | −0.0286685 | + | 0.0165518i | ||||
\(636\) | −15780.4 | + | 21913.1i | −0.0390125 | + | 0.0541738i | ||||
\(637\) | 331573. | − | 120683.i | 0.817147 | − | 0.297417i | ||||
\(638\) | −6626.97 | − | 178979.i | −0.0162807 | − | 0.439704i | ||||
\(639\) | 253957. | + | 146622.i | 0.621955 | + | 0.359086i | ||||
\(640\) | −28553.3 | − | 13409.7i | −0.0697103 | − | 0.0327386i | ||||
\(641\) | −208497. | + | 174950.i | −0.507440 | + | 0.425793i | −0.860227 | − | 0.509911i | \(-0.829678\pi\) |
0.352787 | + | 0.935704i | \(0.385234\pi\) | |||||||
\(642\) | −13827.1 | + | 5620.39i | −0.0335477 | + | 0.0136363i | ||||
\(643\) | 271066. | − | 47796.3i | 0.655622 | − | 0.115604i | 0.164066 | − | 0.986449i | \(-0.447539\pi\) |
0.491557 | + | 0.870846i | \(0.336428\pi\) | |||||||
\(644\) | 79294.2 | + | 312428.i | 0.191192 | + | 0.753317i | ||||
\(645\) | −7389.40 | −0.0177619 | ||||||||
\(646\) | −388150. | − | 187020.i | −0.930110 | − | 0.448150i | ||||
\(647\) | 589628.i | 1.40854i | 0.709931 | + | 0.704271i | \(0.248726\pi\) | ||||
−0.709931 | + | 0.704271i | \(0.751274\pi\) | |||||||
\(648\) | 390705. | + | 94799.6i | 0.930463 | + | 0.225765i | ||||
\(649\) | 7696.32 | + | 43648.0i | 0.0182723 | + | 0.103627i | ||||
\(650\) | 557659. | − | 226674.i | 1.31990 | − | 0.536507i | ||||
\(651\) | −23566.4 | − | 28085.3i | −0.0556072 | − | 0.0662701i | ||||
\(652\) | −6101.26 | − | 13550.0i | −0.0143524 | − | 0.0318745i | ||||
\(653\) | −330617. | + | 572646.i | −0.775353 | + | 1.34295i | 0.159244 | + | 0.987239i | \(0.449094\pi\) |
−0.934596 | + | 0.355711i | \(0.884239\pi\) | |||||||
\(654\) | −3215.31 | − | 86837.9i | −0.00751738 | − | 0.203027i | ||||
\(655\) | 12587.1 | + | 34582.7i | 0.0293388 | + | 0.0806078i | ||||
\(656\) | −5618.74 | + | 212023.i | −0.0130566 | + | 0.492692i | ||||
\(657\) | −72110.6 | − | 124899.i | −0.167058 | − | 0.289354i | ||||
\(658\) | 33062.1 | + | 52663.7i | 0.0763623 | + | 0.121635i | ||||
\(659\) | 8296.81 | + | 1462.95i | 0.0191047 | + | 0.00336867i | 0.183192 | − | 0.983077i | \(-0.441357\pi\) |
−0.164088 | + | 0.986446i | \(0.552468\pi\) | |||||||
\(660\) | 1099.88 | + | 310.385i | 0.00252498 | + | 0.000712547i | ||||
\(661\) | 32728.3 | + | 27462.3i | 0.0749066 | + | 0.0628541i | 0.679472 | − | 0.733701i | \(-0.262209\pi\) |
−0.604566 | + | 0.796555i | \(0.706653\pi\) | |||||||
\(662\) | −59473.2 | + | 184358.i | −0.135708 | + | 0.420674i | ||||
\(663\) | −26554.7 | + | 72958.4i | −0.0604107 | + | 0.165977i | ||||
\(664\) | −52765.3 | − | 473285.i | −0.119678 | − | 1.07346i | ||||
\(665\) | −16866.0 | − | 13104.5i | −0.0381390 | − | 0.0296332i | ||||
\(666\) | 29657.4 | − | 56061.6i | 0.0668629 | − | 0.126391i | ||||
\(667\) | 290727. | − | 798766.i | 0.653482 | − | 1.79543i | ||||
\(668\) | −467889. | − | 480453.i | −1.04855 | − | 1.07671i | ||||
\(669\) | 16297.1 | + | 13674.9i | 0.0364132 | + | 0.0305543i | ||||
\(670\) | 27774.7 | − | 5964.78i | 0.0618729 | − | 0.0132876i | ||||
\(671\) | −29955.2 | − | 5281.91i | −0.0665315 | − | 0.0117313i | ||||
\(672\) | −33226.1 | + | 6219.58i | −0.0735768 | + | 0.0137728i | ||||
\(673\) | −80756.2 | − | 139874.i | −0.178298 | − | 0.308821i | 0.763000 | − | 0.646399i | \(-0.223726\pi\) |
−0.941298 | + | 0.337578i | \(0.890392\pi\) | |||||||
\(674\) | 83501.6 | − | 603349.i | 0.183812 | − | 1.32815i | ||||
\(675\) | 36716.9 | + | 100879.i | 0.0805858 | + | 0.221408i | ||||
\(676\) | −209376. | + | 433907.i | −0.458177 | + | 0.949517i | ||||
\(677\) | −308124. | + | 533687.i | −0.672277 | + | 1.16442i | 0.304980 | + | 0.952359i | \(0.401350\pi\) |
−0.977257 | + | 0.212059i | \(0.931983\pi\) | |||||||
\(678\) | 33475.3 | − | 43032.6i | 0.0728224 | − | 0.0936135i | ||||
\(679\) | 40516.0 | + | 48285.0i | 0.0878793 | + | 0.104730i | ||||
\(680\) | −30610.5 | − | 20367.3i | −0.0661993 | − | 0.0440469i | ||||
\(681\) | −778.854 | − | 4417.10i | −0.00167943 | − | 0.00952451i | ||||
\(682\) | −113794. | + | 102894.i | −0.244652 | + | 0.221219i | ||||
\(683\) | 718732.i | 1.54073i | 0.637605 | + | 0.770363i | \(0.279925\pi\) | ||||
−0.637605 | + | 0.770363i | \(0.720075\pi\) | |||||||
\(684\) | 255255. | − | 384111.i | 0.545585 | − | 0.821003i | ||||
\(685\) | −39990.9 | −0.0852276 | ||||||||
\(686\) | 318027. | + | 351715.i | 0.675796 | + | 0.747381i | ||||
\(687\) | −67279.6 | + | 11863.2i | −0.142551 | + | 0.0251356i | ||||
\(688\) | −436150. | − | 803892.i | −0.921423 | − | 1.69832i | ||||
\(689\) | −291519. | + | 244614.i | −0.614086 | + | 0.515279i | ||||
\(690\) | 4281.18 | + | 3330.35i | 0.00899218 | + | 0.00699505i | ||||
\(691\) | −760038. | − | 438808.i | −1.59177 | − | 0.919007i | −0.993004 | − | 0.118079i | \(-0.962326\pi\) |
−0.598762 | − | 0.800927i | \(-0.704340\pi\) | |||||||
\(692\) | −60444.5 | + | 125264.i | −0.126225 | + | 0.261586i | ||||
\(693\) | −79621.3 | + | 28979.8i | −0.165792 | + | 0.0603433i | ||||
\(694\) | −373476. | − | 51687.9i | −0.775432 | − | 0.107317i | ||||
\(695\) | 40911.7 | − | 23620.4i | 0.0846988 | − | 0.0489009i | ||||
\(696\) | 81663.2 | + | 35743.2i | 0.168581 | + | 0.0737861i | ||||
\(697\) | −42927.0 | + | 243451.i | −0.0883619 | + | 0.501125i | ||||
\(698\) | −115838. | − | 539395.i | −0.237761 | − | 1.10712i | ||||
\(699\) | −5965.75 | + | 7109.71i | −0.0122099 | + | 0.0145511i | ||||
\(700\) | 213119. | + | 218841.i | 0.434936 | + | 0.446615i | ||||
\(701\) | 225769. | + | 82173.4i | 0.459440 | + | 0.167223i | 0.561363 | − | 0.827570i | \(-0.310277\pi\) |
−0.101923 | + | 0.994792i | \(0.532499\pi\) | |||||||
\(702\) | −147984. | − | 78285.6i | −0.300289 | − | 0.158857i | ||||
\(703\) | −48110.6 | − | 53145.0i | −0.0973487 | − | 0.107536i | ||||
\(704\) | 31152.4 | + | 137976.i | 0.0628559 | + | 0.278393i | ||||
\(705\) | 983.247 | + | 357.873i | 0.00197827 | + | 0.000720030i | ||||
\(706\) | −424509. | − | 136945.i | −0.851683 | − | 0.274750i | ||||
\(707\) | −180169. | + | 214717.i | −0.360446 | + | 0.429563i | ||||
\(708\) | −21230.6 | − | 5991.24i | −0.0423540 | − | 0.0119523i | ||||
\(709\) | 112137. | − | 635962.i | 0.223079 | − | 1.26514i | −0.643246 | − | 0.765660i | \(-0.722413\pi\) |
0.866324 | − | 0.499482i | \(-0.166476\pi\) | |||||||
\(710\) | 23955.3 | − | 15039.1i | 0.0475210 | − | 0.0298335i | ||||
\(711\) | −307602. | + | 177594.i | −0.608484 | + | 0.351309i | ||||
\(712\) | −20295.5 | + | 10057.8i | −0.0400350 | + | 0.0198400i | ||||
\(713\) | −684208. | + | 249031.i | −1.34589 | + | 0.489863i | ||||
\(714\) | −39371.8 | + | 1457.80i | −0.0772305 | + | 0.00285958i | ||||
\(715\) | 13947.7 | + | 8052.74i | 0.0272830 | + | 0.0157518i | ||||
\(716\) | 329812. | + | 732463.i | 0.643340 | + | 1.42876i | ||||
\(717\) | −59625.5 | + | 50031.7i | −0.115983 | + | 0.0973211i | ||||
\(718\) | −111258. | − | 273715.i | −0.215816 | − | 0.530946i | ||||
\(719\) | −801864. | + | 141390.i | −1.55111 | + | 0.273503i | −0.882573 | − | 0.470176i | \(-0.844190\pi\) |
−0.668538 | + | 0.743678i | \(0.733079\pi\) | |||||||
\(720\) | 26087.2 | − | 29467.6i | 0.0503226 | − | 0.0568433i | ||||
\(721\) | 556331. | 1.07020 | ||||||||
\(722\) | −309543. | − | 419429.i | −0.593808 | − | 0.804607i | ||||
\(723\) | 52173.8i | 0.0998104i | ||||||||
\(724\) | 183590. | + | 723366.i | 0.350246 | + | 1.38001i | ||||
\(725\) | −139883. | − | 793317.i | −0.266127 | − | 1.50928i | ||||
\(726\) | 21760.5 | + | 53534.7i | 0.0412853 | + | 0.101569i | ||||
\(727\) | −4522.84 | − | 5390.11i | −0.00855740 | − | 0.0101983i | 0.761749 | − | 0.647873i | \(-0.224341\pi\) |
−0.770306 | + | 0.637674i | \(0.779897\pi\) | |||||||
\(728\) | −475412. | − | 30231.3i | −0.897032 | − | 0.0570418i | ||||
\(729\) | −243275. | + | 421364.i | −0.457764 | + | 0.792871i | ||||
\(730\) | −13901.3 | + | 514.716i | −0.0260861 | + | 0.000965877i | ||||
\(731\) | −364587. | − | 1.00170e6i | −0.682286 | − | 1.87457i | ||||
\(732\) | 8847.11 | − | 12285.3i | 0.0165112 | − | 0.0229279i | ||||
\(733\) | 76340.1 | + | 132225.i | 0.142084 | + | 0.246097i | 0.928281 | − | 0.371879i | \(-0.121286\pi\) |
−0.786197 | + | 0.617976i | \(0.787953\pi\) | |||||||
\(734\) | −727808. | + | 456916.i | −1.35090 | + | 0.848094i | ||||
\(735\) | 2967.24 | + | 523.204i | 0.00549259 | + | 0.000968492i | ||||
\(736\) | −109617. | + | 662318.i | −0.202358 | + | 1.22267i | ||||
\(737\) | −97579.6 | − | 81879.0i | −0.179649 | − | 0.150743i | ||||
\(738\) | −251832. | − | 81239.9i | −0.462378 | − | 0.149162i | ||||
\(739\) | 70886.3 | − | 194758.i | 0.129800 | − | 0.356621i | −0.857720 | − | 0.514117i | \(-0.828120\pi\) |
0.987520 | + | 0.157495i | \(0.0503420\pi\) | |||||||
\(740\) | −3442.13 | − | 5057.15i | −0.00628584 | − | 0.00923512i | ||||
\(741\) | −69639.2 | + | 63042.3i | −0.126829 | + | 0.114814i | ||||
\(742\) | −170697. | − | 90301.3i | −0.310040 | − | 0.164016i | ||||
\(743\) | 363477. | − | 998646.i | 0.658415 | − | 1.80898i | 0.0744150 | − | 0.997227i | \(-0.476291\pi\) |
0.584000 | − | 0.811754i | \(-0.301487\pi\) | |||||||
\(744\) | −21509.8 | − | 73265.9i | −0.0388590 | − | 0.132360i | ||||
\(745\) | 57532.1 | + | 48275.1i | 0.103657 | + | 0.0869783i | ||||
\(746\) | −73249.8 | − | 341085.i | −0.131622 | − | 0.612893i | ||||
\(747\) | 585100. | + | 103169.i | 1.04855 | + | 0.184887i | ||||
\(748\) | 12192.0 | + | 164412.i | 0.0217907 | + | 0.293854i | ||||
\(749\) | −53369.0 | − | 92437.8i | −0.0951318 | − | 0.164773i | ||||
\(750\) | 10213.7 | + | 1413.55i | 0.0181577 | + | 0.00251298i | ||||
\(751\) | 83957.5 | + | 230671.i | 0.148861 | + | 0.408991i | 0.991602 | − | 0.129328i | \(-0.0412819\pi\) |
−0.842741 | + | 0.538319i | \(0.819060\pi\) | |||||||
\(752\) | 19102.1 | + | 128090.i | 0.0337788 | + | 0.226507i | ||||
\(753\) | 49827.1 | − | 86303.1i | 0.0878771 | − | 0.152208i | ||||
\(754\) | 991562. | + | 771340.i | 1.74412 | + | 1.35676i | ||||
\(755\) | 15418.0 | + | 18374.5i | 0.0270480 | + | 0.0322346i | ||||
\(756\) | 8524.75 | − | 84526.1i | 0.0149155 | − | 0.147893i | ||||
\(757\) | 99403.1 | + | 563743.i | 0.173464 | + | 0.983761i | 0.939902 | + | 0.341443i | \(0.110916\pi\) |
−0.766439 | + | 0.642317i | \(0.777973\pi\) | |||||||
\(758\) | −755774. | − | 835830.i | −1.31539 | − | 1.45472i | ||||
\(759\) | − | 24321.1i | − | 0.0422182i | ||||||
\(760\) | −21236.2 | − | 39087.7i | −0.0367663 | − | 0.0676726i | ||||
\(761\) | 574516. | 0.992048 | 0.496024 | − | 0.868309i | \(-0.334793\pi\) | ||||
0.496024 | + | 0.868309i | \(0.334793\pi\) | |||||||
\(762\) | −22096.5 | + | 19980.1i | −0.0380551 | + | 0.0344102i | ||||
\(763\) | 611984. | − | 107909.i | 1.05121 | − | 0.185357i | ||||
\(764\) | −680443. | − | 68625.1i | −1.16575 | − | 0.117570i | ||||
\(765\) | 35138.9 | − | 29485.0i | 0.0600434 | − | 0.0503824i | ||||
\(766\) | −335456. | + | 431230.i | −0.571712 | + | 0.734939i | ||||
\(767\) | −269228. | − | 155439.i | −0.457645 | − | 0.264221i | ||||
\(768\) | −68588.1 | − | 15880.2i | −0.116286 | − | 0.0269237i | ||||
\(769\) | 576342. | − | 209771.i | 0.974603 | − | 0.354726i | 0.194863 | − | 0.980830i | \(-0.437574\pi\) |
0.779740 | + | 0.626104i | \(0.215351\pi\) | |||||||
\(770\) | −1120.40 | + | 8095.56i | −0.00188970 | + | 0.0136542i | ||||
\(771\) | −60999.1 | + | 35217.8i | −0.102616 | + | 0.0592453i | ||||
\(772\) | 596483. | − | 44232.1i | 1.00084 | − | 0.0742169i | ||||
\(773\) | −93399.9 | + | 529697.i | −0.156310 | + | 0.886479i | 0.801268 | + | 0.598306i | \(0.204159\pi\) |
−0.957578 | + | 0.288174i | \(0.906952\pi\) | |||||||
\(774\) | 1.11560e6 | − | 239581.i | 1.86220 | − | 0.399917i | ||||
\(775\) | −443539. | + | 528589.i | −0.738462 | + | 0.880065i | ||||
\(776\) | 36980.3 | + | 125961.i | 0.0614111 | + | 0.209176i | ||||
\(777\) | −6159.95 | − | 2242.04i | −0.0102032 | − | 0.00371365i | ||||
\(778\) | 31086.5 | − | 58763.0i | 0.0513586 | − | 0.0970834i | ||||
\(779\) | −183506. | + | 236179.i | −0.302395 | + | 0.389195i | ||||
\(780\) | −6626.70 | + | 4510.43i | −0.0108920 | + | 0.00741360i | ||||
\(781\) | −119180. | − | 43378.0i | −0.195390 | − | 0.0711160i | ||||
\(782\) | −240226. | + | 744666.i | −0.392832 | + | 1.21772i | ||||
\(783\) | −144007. | + | 171621.i | −0.234888 | + | 0.279929i | ||||
\(784\) | 118218. | + | 353687.i | 0.192332 | + | 0.575422i | ||||
\(785\) | −10134.3 | + | 57474.4i | −0.0164457 | + | 0.0932685i | ||||
\(786\) | 43671.0 | + | 69562.3i | 0.0706884 | + | 0.112597i | ||||
\(787\) | −117193. | + | 67661.5i | −0.189214 | + | 0.109243i | −0.591614 | − | 0.806221i | \(-0.701509\pi\) |
0.402401 | + | 0.915464i | \(0.368176\pi\) | |||||||
\(788\) | 140369. | + | 101085.i | 0.226057 | + | 0.162792i | ||||
\(789\) | −84998.7 | + | 30937.0i | −0.136539 | + | 0.0496963i | ||||
\(790\) | 1267.64 | + | 34236.0i | 0.00203115 | + | 0.0548567i | ||||
\(791\) | 337650. | + | 194942.i | 0.539652 | + | 0.311568i | ||||
\(792\) | −176115. | − | 11199.1i | −0.280768 | − | 0.0178539i | ||||
\(793\) | 163437. | − | 137140.i | 0.259899 | − | 0.218081i | ||||
\(794\) | 284030. | − | 115451.i | 0.450529 | − | 0.183129i | ||||
\(795\) | −3200.16 | + | 564.275i | −0.00506335 | + | 0.000892805i | ||||
\(796\) | 283176. | − | 71870.1i | 0.446920 | − | 0.113429i | ||||
\(797\) | 709113. | 1.11635 | 0.558173 | − | 0.829725i | \(-0.311503\pi\) | ||||
0.558173 | + | 0.829725i | \(0.311503\pi\) | |||||||
\(798\) | −42943.0 | − | 20691.0i | −0.0674352 | − | 0.0324919i | ||||
\(799\) | 150945.i | 0.236442i | ||||||||
\(800\) | 223869. | + | 595515.i | 0.349795 | + | 0.930492i | ||||
\(801\) | −4907.15 | − | 27829.9i | −0.00764829 | − | 0.0433756i | ||||
\(802\) | 1.00107e6 | − | 406911.i | 1.55639 | − | 0.632631i | ||||
\(803\) | 40094.4 | + | 47782.7i | 0.0621803 | + | 0.0741036i | ||||
\(804\) | 57810.2 | − | 26030.7i | 0.0894319 | − | 0.0402692i | ||||
\(805\) | −19394.2 | + | 33591.7i | −0.0299281 | + | 0.0518370i | ||||
\(806\) | −39816.2 | − | 1.07534e6i | −0.0612900 | − | 1.65530i | ||||
\(807\) | 5024.60 | + | 13805.0i | 0.00771533 | + | 0.0211977i | ||||
\(808\) | −523064. | + | 259213.i | −0.801183 | + | 0.397040i | ||||
\(809\) | −558745. | − | 967775.i | −0.853723 | − | 1.47869i | −0.877825 | − | 0.478981i | \(-0.841006\pi\) |
0.0241025 | − | 0.999709i | \(-0.492327\pi\) | |||||||
\(810\) | 25723.8 | + | 40974.7i | 0.0392072 | + | 0.0624519i | ||||
\(811\) | 1.13514e6 | + | 200156.i | 1.72587 | + | 0.304318i | 0.946610 | − | 0.322380i | \(-0.104483\pi\) |
0.779262 | + | 0.626698i | \(0.215594\pi\) | |||||||
\(812\) | −173135. | + | 613522.i | −0.262587 | + | 0.930504i | ||||
\(813\) | 37935.5 | + | 31831.7i | 0.0573938 | + | 0.0481591i | ||||
\(814\) | −8421.61 | + | 26105.7i | −0.0127100 | + | 0.0393992i | ||||
\(815\) | 611.610 | − | 1680.39i | 0.000920788 | − | 0.00252984i | ||||
\(816\) | −76337.3 | − | 30097.8i | −0.114645 | − | 0.0452017i | ||||
\(817\) | 176068. | − | 1.27764e6i | 0.263777 | − | 1.91409i | ||||
\(818\) | −328973. | + | 621859.i | −0.491647 | + | 0.929363i | ||||
\(819\) | 203269. | − | 558477.i | 0.303043 | − | 0.832603i | ||||
\(820\) | −18285.0 | + | 17806.8i | −0.0271936 | + | 0.0264825i | ||||
\(821\) | 190250. | + | 159639.i | 0.282253 | + | 0.236838i | 0.772912 | − | 0.634513i | \(-0.218799\pi\) |
−0.490659 | + | 0.871352i | \(0.663244\pi\) | |||||||
\(822\) | −87261.4 | + | 18739.9i | −0.129145 | + | 0.0277347i | ||||
\(823\) | −528598. | − | 93206.0i | −0.780415 | − | 0.137608i | −0.230772 | − | 0.973008i | \(-0.574125\pi\) |
−0.549643 | + | 0.835400i | \(0.685236\pi\) | |||||||
\(824\) | 1.06146e6 | + | 464590.i | 1.56332 | + | 0.684251i | ||||
\(825\) | −11524.3 | − | 19960.7i | −0.0169319 | − | 0.0293270i | ||||
\(826\) | 21626.6 | − | 156265.i | 0.0316978 | − | 0.229035i | ||||
\(827\) | −193265. | − | 530991.i | −0.282580 | − | 0.776383i | −0.997053 | − | 0.0767193i | \(-0.975555\pi\) |
0.714473 | − | 0.699664i | \(-0.246667\pi\) | |||||||
\(828\) | −754317. | − | 363986.i | −1.10026 | − | 0.530913i | ||||
\(829\) | 665506. | − | 1.15269e6i | 0.968373 | − | 1.67727i | 0.268107 | − | 0.963389i | \(-0.413602\pi\) |
0.700266 | − | 0.713882i | \(-0.253065\pi\) | |||||||
\(830\) | 35186.2 | − | 45232.0i | 0.0510759 | − | 0.0656583i | ||||
\(831\) | 33623.0 | + | 40070.3i | 0.0486894 | + | 0.0580257i | ||||
\(832\) | −881822. | − | 454695.i | −1.27390 | − | 0.656861i | ||||
\(833\) | 75476.5 | + | 428048.i | 0.108773 | + | 0.616883i | ||||
\(834\) | 78201.9 | − | 70711.7i | 0.112431 | − | 0.101662i | ||||
\(835\) | − | 80702.0i | − | 0.115747i | ||||||
\(836\) | −79873.0 | + | 182775.i | −0.114285 | + | 0.261520i | ||||
\(837\) | 191905. | 0.273927 | ||||||||
\(838\) | 241299. | + | 266859.i | 0.343612 | + | 0.380009i | ||||
\(839\) | 128677. | − | 22689.1i | 0.182800 | − | 0.0322325i | −0.0814988 | − | 0.996673i | \(-0.525971\pi\) |
0.264299 | + | 0.964441i | \(0.414860\pi\) | |||||||
\(840\) | −3386.60 | − | 2253.34i | −0.00479961 | − | 0.00319350i | ||||
\(841\) | 746001. | − | 625969.i | 1.05475 | − | 0.885036i | ||||
\(842\) | −259569. | − | 201920.i | −0.366124 | − | 0.284809i | ||||
\(843\) | −58791.8 | − | 33943.4i | −0.0827297 | − | 0.0477640i | ||||
\(844\) | 747265. | + | 360583.i | 1.04903 | + | 0.506198i | ||||
\(845\) | −54479.4 | + | 19828.9i | −0.0762989 | + | 0.0277705i | ||||
\(846\) | −160046. | − | 22149.9i | −0.223617 | − | 0.0309479i | ||||
\(847\) | −357892. | + | 206629.i | −0.498868 | + | 0.288022i | ||||
\(848\) | −250273. | − | 314840.i | −0.348035 | − | 0.437822i | ||||
\(849\) | 16211.9 | − | 91942.5i | 0.0224916 | − | 0.127556i | ||||
\(850\) | 155695. | + | 724988.i | 0.215495 | + | 1.00344i | ||||
\(851\) | −83682.7 | + | 99729.1i | −0.115552 | + | 0.137709i | ||||
\(852\) | 45223.9 | − | 44041.3i | 0.0623001 | − | 0.0606710i | ||||
\(853\) | 375817. | + | 136786.i | 0.516510 | + | 0.187994i | 0.587105 | − | 0.809511i | \(-0.300268\pi\) |
−0.0705952 | + | 0.997505i | \(0.522490\pi\) | |||||||
\(854\) | 95699.5 | + | 50626.5i | 0.131218 | + | 0.0694164i | ||||
\(855\) | 54254.0 | − | 11684.2i | 0.0742163 | − | 0.0159832i | ||||
\(856\) | −24631.6 | − | 220936.i | −0.0336159 | − | 0.301522i | ||||
\(857\) | 1.20095e6 | + | 437111.i | 1.63518 | + | 0.595156i | 0.986186 | − | 0.165641i | \(-0.0529692\pi\) |
0.648991 | + | 0.760796i | \(0.275191\pi\) | |||||||
\(858\) | 34208.0 | + | 11035.4i | 0.0464678 | + | 0.0149904i | ||||
\(859\) | −28522.7 | + | 33992.1i | −0.0386549 | + | 0.0460672i | −0.785026 | − | 0.619463i | \(-0.787350\pi\) |
0.746371 | + | 0.665531i | \(0.231795\pi\) | |||||||
\(860\) | 29890.8 | − | 105921.i | 0.0404148 | − | 0.143214i | ||||
\(861\) | −4749.23 | + | 26934.2i | −0.00640645 | + | 0.0363328i | ||||
\(862\) | 154623. | − | 97072.0i | 0.208094 | − | 0.130641i | ||||
\(863\) | −243979. | + | 140861.i | −0.327590 | + | 0.189134i | −0.654771 | − | 0.755828i | \(-0.727235\pi\) |
0.327181 | + | 0.944962i | \(0.393901\pi\) | |||||||
\(864\) | 86852.3 | − | 154154.i | 0.116347 | − | 0.206503i | ||||
\(865\) | −15727.6 | + | 5724.38i | −0.0210199 | + | 0.00765061i | ||||
\(866\) | −1.21788e6 | + | 45094.0i | −1.62394 | + | 0.0601289i | ||||
\(867\) | −5123.95 | − | 2958.31i | −0.00681658 | − | 0.00393555i | ||||
\(868\) | 497909. | − | 224197.i | 0.660862 | − | 0.297571i | ||||
\(869\) | 117679. | − | 98744.5i | 0.155833 | − | 0.130760i | ||||
\(870\) | 4039.36 | + | 9937.54i | 0.00533671 | + | 0.0131293i | ||||
\(871\) | 879899. | − | 155150.i | 1.15984 | − | 0.204510i | ||||
\(872\) | 1.25776e6 | + | 305179.i | 1.65411 | + | 0.401348i | ||||
\(873\) | −163780. | −0.214898 | ||||||||
\(874\) | −677829. | + | 660868.i | −0.887354 | + | 0.865150i | ||||
\(875\) | 73737.2i | 0.0963098i | ||||||||
\(876\) | −30091.8 | + | 7637.31i | −0.0392139 | + | 0.00995250i | ||||
\(877\) | −77887.4 | − | 441722.i | −0.101267 | − | 0.574314i | −0.992646 | − | 0.121055i | \(-0.961372\pi\) |
0.891379 | − | 0.453259i | \(-0.149739\pi\) | |||||||
\(878\) | 173909. | + | 427848.i | 0.225597 | + | 0.555010i | ||||
\(879\) | −10865.2 | − | 12948.6i | −0.0140624 | − | 0.0167589i | ||||
\(880\) | −8898.25 | + | 14510.4i | −0.0114905 | + | 0.0187376i | ||||
\(881\) | −605822. | + | 1.04931e6i | −0.780536 | + | 1.35193i | 0.151093 | + | 0.988519i | \(0.451721\pi\) |
−0.931630 | + | 0.363409i | \(0.881613\pi\) | |||||||
\(882\) | −464935. | + | 17214.9i | −0.597661 | + | 0.0221293i | ||||
\(883\) | −346321. | − | 951509.i | −0.444178 | − | 1.22037i | −0.936719 | − | 0.350081i | \(-0.886154\pi\) |
0.492541 | − | 0.870289i | \(-0.336068\pi\) | |||||||
\(884\) | −938384. | − | 675764.i | −1.20081 | − | 0.864749i | ||||
\(885\) | −1327.29 | − | 2298.94i | −0.00169465 | − | 0.00293522i | ||||
\(886\) | −347700. | + | 218285.i | −0.442932 | + | 0.278071i | ||||
\(887\) | 684116. | + | 120628.i | 0.869526 | + | 0.153321i | 0.590573 | − | 0.806984i | \(-0.298902\pi\) |
0.278953 | + | 0.960305i | \(0.410013\pi\) | |||||||
\(888\) | −9880.63 | − | 9421.87i | −0.0125302 | − | 0.0119484i | ||||
\(889\) | −163196. | − | 136938.i | −0.206493 | − | 0.173269i | ||||
\(890\) | −2594.09 | − | 836.843i | −0.00327495 | − | 0.00105649i | ||||
\(891\) | 74196.5 | − | 203853.i | 0.0934605 | − | 0.256781i | ||||
\(892\) | −261942. | + | 178290.i | −0.329212 | + | 0.224077i | ||||
\(893\) | −85304.6 | + | 161477.i | −0.106972 | + | 0.202493i | ||||
\(894\) | 148159. | + | 78378.1i | 0.185375 | + | 0.0980663i | ||||
\(895\) | −33061.4 | + | 90835.5i | −0.0412739 | + | 0.113399i | ||||
\(896\) | 45250.0 | − | 501428.i | 0.0563641 | − | 0.624587i | ||||
\(897\) | 130681. | + | 109655.i | 0.162416 | + | 0.136283i | ||||
\(898\) | 181159. | + | 843559.i | 0.224650 | + | 1.04607i | ||||
\(899\) | −1.41814e6 | − | 250056.i | −1.75468 | − | 0.309398i | ||||
\(900\) | −791550. | + | 58697.2i | −0.977223 | + | 0.0724657i | ||||
\(901\) | −234386. | − | 405968.i | −0.288723 | − | 0.500084i | ||||
\(902\) | 113364. | + | 15689.3i | 0.139336 | + | 0.0192836i | ||||
\(903\) | −40336.2 | − | 110823.i | −0.0494674 | − | 0.135911i | ||||
\(904\) | 481428. | + | 653912.i | 0.589107 | + | 0.800171i | ||||
\(905\) | −44903.4 | + | 77775.0i | −0.0548255 | + | 0.0949605i | ||||
\(906\) | 42253.0 | + | 32868.8i | 0.0514756 | + | 0.0400431i | ||||
\(907\) | −197748. | − | 235667.i | −0.240380 | − | 0.286474i | 0.632344 | − | 0.774688i | \(-0.282093\pi\) |
−0.872724 | + | 0.488214i | \(0.837649\pi\) | |||||||
\(908\) | 66466.1 | + | 6703.34i | 0.0806173 | + | 0.00813054i | ||||
\(909\) | −126469. | − | 717243.i | −0.153058 | − | 0.868037i | ||||
\(910\) | −38447.3 | − | 42519.9i | −0.0464284 | − | 0.0513463i | ||||
\(911\) | 1.20690e6i | 1.45424i | 0.686510 | + | 0.727120i | \(0.259142\pi\) | ||||
−0.686510 | + | 0.727120i | \(0.740858\pi\) | |||||||
\(912\) | −64654.7 | − | 75339.1i | −0.0777339 | − | 0.0905797i | ||||
\(913\) | −256960. | −0.308265 | ||||||||
\(914\) | 1.15554e6 | − | 1.04486e6i | 1.38322 | − | 1.25073i | ||||
\(915\) | 1794.14 | − | 316.355i | 0.00214296 | − | 0.000377861i | ||||
\(916\) | 102103. | − | 1.01239e6i | 0.121688 | − | 1.20658i | ||||
\(917\) | −449947. | + | 377550.i | −0.535085 | + | 0.448990i | ||||
\(918\) | 126623. | − | 162775.i | 0.150255 | − | 0.193153i | ||||
\(919\) | −603764. | − | 348583.i | −0.714885 | − | 0.412739i | 0.0979823 | − | 0.995188i | \(-0.468761\pi\) |
−0.812867 | + | 0.582449i | \(0.802094\pi\) | |||||||
\(920\) | −65055.6 | + | 47895.6i | −0.0768615 | + | 0.0565875i | ||||
\(921\) | −109534. | + | 39867.1i | −0.129131 | + | 0.0469997i | ||||
\(922\) | 38859.8 | − | 280785.i | 0.0457129 | − | 0.330303i | ||||
\(923\) | 770415. | − | 444799.i | 0.904318 | − | 0.522108i | ||||
\(924\) | 1348.86 | + | 18189.8i | 0.00157987 | + | 0.0213051i | ||||
\(925\) | −21424.0 | + | 121501.i | −0.0250390 | + | 0.142003i | ||||
\(926\) | 653683. | − | 140382.i | 0.762334 | − | 0.163715i | ||||
\(927\) | −929189. | + | 1.10736e6i | −1.08130 | + | 1.28864i | ||||
\(928\) | −842685. | + | 1.02599e6i | −0.978519 | + | 1.19137i | ||||
\(929\) | −568742. | − | 207005.i | −0.658998 | − | 0.239856i | −0.00919416 | − | 0.999958i | \(-0.502927\pi\) |
−0.649804 | + | 0.760102i | \(0.725149\pi\) | |||||||
\(930\) | 4296.74 | − | 8122.15i | 0.00496790 | − | 0.00939086i | ||||
\(931\) | −161163. | + | 500572.i | −0.185937 | + | 0.577520i | ||||
\(932\) | −77779.9 | − | 114274.i | −0.0895438 | − | 0.131557i | ||||
\(933\) | 128268. | + | 46685.7i | 0.147351 | + | 0.0536315i | ||||
\(934\) | 120697. | − | 374142.i | 0.138357 | − | 0.428887i | ||||
\(935\) | −12752.3 | + | 15197.6i | −0.0145870 | + | 0.0173841i | ||||
\(936\) | 854212. | − | 895804.i | 0.975021 | − | 1.02250i | ||||
\(937\) | −193611. | + | 1.09802e6i | −0.220521 | + | 1.25064i | 0.650543 | + | 0.759469i | \(0.274541\pi\) |
−0.871064 | + | 0.491169i | \(0.836570\pi\) | |||||||
\(938\) | 241070. | + | 383993.i | 0.273991 | + | 0.436433i | ||||
\(939\) | 123084. | − | 71062.6i | 0.139595 | − | 0.0805953i | ||||
\(940\) | −9107.15 | + | 12646.4i | −0.0103069 | + | 0.0143124i | ||||
\(941\) | 111679. | − | 40648.0i | 0.126123 | − | 0.0459050i | −0.278188 | − | 0.960527i | \(-0.589734\pi\) |
0.404311 | + | 0.914622i | \(0.367511\pi\) | |||||||
\(942\) | 4819.37 | + | 130160.i | 0.00543110 | + | 0.146681i | ||||
\(943\) | 470393. | + | 271581.i | 0.528978 | + | 0.305405i | ||||
\(944\) | 171759. | − | 280088.i | 0.192742 | − | 0.314304i | ||||
\(945\) | 7831.38 | − | 6571.31i | 0.00876950 | − | 0.00735848i | ||||
\(946\) | −457174. | + | 185829.i | −0.510856 | + | 0.207650i | ||||
\(947\) | 703354. | − | 124020.i | 0.784285 | − | 0.138291i | 0.232855 | − | 0.972512i | \(-0.425193\pi\) |
0.551430 | + | 0.834221i | \(0.314082\pi\) | |||||||
\(948\) | 18809.2 | + | 74110.1i | 0.0209292 | + | 0.0824633i | ||||
\(949\) | −437515. | −0.485803 | ||||||||
\(950\) | −243159. | + | 863566.i | −0.269428 | + | 0.956860i | ||||
\(951\) | 99308.7i | 0.109806i | ||||||||
\(952\) | 138366. | − | 570260.i | 0.152671 | − | 0.629215i | ||||
\(953\) | 19007.8 | + | 107798.i | 0.0209288 | + | 0.118693i | 0.993482 | − | 0.113986i | \(-0.0363619\pi\) |
−0.972554 | + | 0.232679i | \(0.925251\pi\) | |||||||
\(954\) | 464842. | − | 188947.i | 0.510750 | − | 0.207607i | ||||
\(955\) | −52899.7 | − | 63043.4i | −0.0580025 | − | 0.0691246i | ||||
\(956\) | −475974. | − | 1.05707e6i | −0.520795 | − | 1.15661i | ||||
\(957\) | 24050.1 | − | 41656.0i | 0.0262599 | − | 0.0454835i | ||||
\(958\) | −58942.1 | − | 1.59189e6i | −0.0642236 | − | 1.73453i | ||||
\(959\) | −218297. | − | 599765.i | −0.237361 | − | 0.652144i | ||||
\(960\) | −4579.75 | − | 7127.41i | −0.00496935 | − | 0.00773374i | ||||
\(961\) | 154984. | + | 268440.i | 0.167819 | + | 0.290670i | ||||
\(962\) | −102301. | − | 162951.i | −0.110542 | − | 0.176079i | ||||
\(963\) | 273133. | + | 48160.6i | 0.294524 | + | 0.0519326i | ||||
\(964\) | −747869. | − | 211048.i | −0.804769 | − | 0.227105i | ||||
\(965\) | 55136.5 | + | 46265.0i | 0.0592086 | + | 0.0496819i | ||||
\(966\) | −26577.5 | + | 82386.3i | −0.0284813 | + | 0.0882878i | ||||
\(967\) | 350816. | − | 963859.i | 0.375168 | − | 1.03077i | −0.598165 | − | 0.801373i | \(-0.704103\pi\) |
0.973334 | − | 0.229394i | \(-0.0736744\pi\) | |||||||
\(968\) | −855400. | + | 95366.3i | −0.912891 | + | 0.101776i | ||||
\(969\) | −61581.1 | − | 97965.0i | −0.0655843 | − | 0.104333i | ||||
\(970\) | −7387.07 | + | 13963.8i | −0.00785106 | + | 0.0148409i | ||||
\(971\) | −190713. | + | 523978.i | −0.202274 | + | 0.555744i | −0.998806 | − | 0.0488527i | \(-0.984444\pi\) |
0.796532 | + | 0.604597i | \(0.206666\pi\) | |||||||
\(972\) | 231566. | + | 237784.i | 0.245099 | + | 0.251681i | ||||
\(973\) | 577569. | + | 484638.i | 0.610068 | + | 0.511908i | ||||
\(974\) | −686354. | + | 147398.i | −0.723487 | + | 0.155373i | ||||
\(975\) | 159211. | + | 28073.2i | 0.167480 | + | 0.0295313i | ||||
\(976\) | 140313. | + | 176512.i | 0.147299 | + | 0.185299i | ||||
\(977\) | 317969. | + | 550739.i | 0.333116 | + | 0.576974i | 0.983121 | − | 0.182956i | \(-0.0585665\pi\) |
−0.650005 | + | 0.759930i | \(0.725233\pi\) | |||||||
\(978\) | 547.118 | − | 3953.25i | 0.000572010 | − | 0.00413311i | ||||
\(979\) | 4180.21 | + | 11485.0i | 0.00436147 | + | 0.0119830i | ||||
\(980\) | −19502.5 | + | 40416.5i | −0.0203066 | + | 0.0420830i | ||||
\(981\) | −807350. | + | 1.39837e6i | −0.838926 | + | 1.45306i | ||||
\(982\) | −720184. | + | 925800.i | −0.746828 | + | 0.960051i | ||||
\(983\) | 689336. | + | 821518.i | 0.713384 | + | 0.850178i | 0.993970 | − | 0.109651i | \(-0.0349732\pi\) |
−0.280586 | + | 0.959829i | \(0.590529\pi\) | |||||||
\(984\) | −31554.0 | + | 47423.4i | −0.0325885 | + | 0.0489782i | ||||
\(985\) | 3614.58 | + | 20499.3i | 0.00372551 | + | 0.0211284i | ||||
\(986\) | −1.14782e6 | + | 1.03788e6i | −1.18064 | + | 1.06756i | ||||
\(987\) | 16699.8i | 0.0171426i | ||||||||
\(988\) | −621964. | − | 1.25323e6i | −0.637164 | − | 1.28386i | ||||
\(989\) | −2.34218e6 | −2.39457 | ||||||||
\(990\) | −14242.7 | − | 15751.4i | −0.0145319 | − | 0.0160712i | ||||
\(991\) | −1.05166e6 | + | 185436.i | −1.07085 | + | 0.188819i | −0.681165 | − | 0.732130i | \(-0.738526\pi\) |
−0.389682 | + | 0.920949i | \(0.627415\pi\) | |||||||
\(992\) | 1.13722e6 | − | 11958.5i | 1.15563 | − | 0.0121522i | ||||
\(993\) | −39853.1 | + | 33440.7i | −0.0404169 | + | 0.0339138i | ||||
\(994\) | 356313. | + | 277177.i | 0.360627 | + | 0.280534i | ||||
\(995\) | 30446.6 | + | 17578.3i | 0.0307534 | + | 0.0177555i | ||||
\(996\) | 55581.5 | − | 115186.i | 0.0560288 | − | 0.116113i | ||||
\(997\) | 347211. | − | 126374.i | 0.349303 | − | 0.127136i | −0.161409 | − | 0.986888i | \(-0.551604\pi\) |
0.510712 | + | 0.859752i | \(0.329382\pi\) | |||||||
\(998\) | 1.06212e6 | + | 146994.i | 1.06638 | + | 0.147583i | ||||
\(999\) | 29715.4 | − | 17156.2i | 0.0297749 | − | 0.0171906i |
(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 | 76.5.l.a.23.11 | ✓ | 228 | |
4.3 | odd | 2 | inner | 76.5.l.a.23.19 | yes | 228 | |
19.5 | even | 9 | inner | 76.5.l.a.43.19 | yes | 228 | |
76.43 | odd | 18 | inner | 76.5.l.a.43.11 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.5.l.a.23.11 | ✓ | 228 | 1.1 | even | 1 | trivial | |
76.5.l.a.23.19 | yes | 228 | 4.3 | odd | 2 | inner | |
76.5.l.a.43.11 | yes | 228 | 76.43 | odd | 18 | inner | |
76.5.l.a.43.19 | yes | 228 | 19.5 | even | 9 | inner |