Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,4,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), 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: | \(2.24207258022\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} - 135 x^{10} + 730 x^{9} + 7953 x^{8} - 36258 x^{7} - 262940 x^{6} + 918855 x^{5} + \cdots + 272110107 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Root | \(6.28151 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.25 |
Dual form | 38.4.e.a.35.2 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.53209 | − | 1.28558i | 0.541675 | − | 0.454519i | ||||
\(3\) | 4.68284 | + | 1.70441i | 0.901213 | + | 0.328015i | 0.750739 | − | 0.660599i | \(-0.229698\pi\) |
0.150474 | + | 0.988614i | \(0.451920\pi\) | |||||||
\(4\) | 0.694593 | − | 3.93923i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.408053 | + | 2.31419i | 0.0364974 | + | 0.206987i | 0.997603 | − | 0.0691931i | \(-0.0220425\pi\) |
−0.961106 | + | 0.276180i | \(0.910931\pi\) | |||||||
\(6\) | 9.36568 | − | 3.40883i | 0.637254 | − | 0.231941i | ||||
\(7\) | −1.42158 | + | 2.46225i | −0.0767581 | + | 0.132949i | −0.901849 | − | 0.432050i | \(-0.857790\pi\) |
0.825091 | + | 0.564999i | \(0.191124\pi\) | |||||||
\(8\) | −4.00000 | − | 6.92820i | −0.176777 | − | 0.306186i | ||||
\(9\) | −1.65925 | − | 1.39227i | −0.0614536 | − | 0.0515657i | ||||
\(10\) | 3.60023 | + | 3.02095i | 0.113849 | + | 0.0955310i | ||||
\(11\) | −1.90096 | − | 3.29257i | −0.0521057 | − | 0.0902497i | 0.838796 | − | 0.544446i | \(-0.183260\pi\) |
−0.890902 | + | 0.454196i | \(0.849927\pi\) | |||||||
\(12\) | 9.96675 | − | 17.2629i | 0.239763 | − | 0.415281i | ||||
\(13\) | −15.4040 | + | 5.60661i | −0.328639 | + | 0.119615i | −0.501070 | − | 0.865407i | \(-0.667060\pi\) |
0.172431 | + | 0.985022i | \(0.444838\pi\) | |||||||
\(14\) | 0.987418 | + | 5.59993i | 0.0188499 | + | 0.106903i | ||||
\(15\) | −2.03348 | + | 11.5325i | −0.0350029 | + | 0.198511i | ||||
\(16\) | −15.0351 | − | 5.47232i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −57.2974 | + | 48.0782i | −0.817451 | + | 0.685923i | −0.952374 | − | 0.304933i | \(-0.901366\pi\) |
0.134923 | + | 0.990856i | \(0.456921\pi\) | |||||||
\(18\) | −4.33198 | −0.0567255 | ||||||||
\(19\) | −41.0556 | + | 71.9266i | −0.495727 | + | 0.868479i | ||||
\(20\) | 9.39954 | 0.105090 | ||||||||
\(21\) | −10.8537 | + | 9.10735i | −0.112785 | + | 0.0946374i | ||||
\(22\) | −7.14529 | − | 2.60067i | −0.0692446 | − | 0.0252030i | ||||
\(23\) | 6.08655 | − | 34.5185i | 0.0551797 | − | 0.312940i | −0.944708 | − | 0.327912i | \(-0.893655\pi\) |
0.999888 | + | 0.0149725i | \(0.00476607\pi\) | |||||||
\(24\) | −6.92283 | − | 39.2613i | −0.0588799 | − | 0.333924i | ||||
\(25\) | 112.273 | − | 40.8639i | 0.898181 | − | 0.326911i | ||||
\(26\) | −16.3926 | + | 28.3928i | −0.123648 | + | 0.214165i | ||||
\(27\) | −72.6725 | − | 125.872i | −0.517994 | − | 0.897191i | ||||
\(28\) | 8.71194 | + | 7.31019i | 0.0588001 | + | 0.0493391i | ||||
\(29\) | 59.8802 | + | 50.2455i | 0.383430 | + | 0.321736i | 0.814047 | − | 0.580799i | \(-0.197260\pi\) |
−0.430617 | + | 0.902535i | \(0.641704\pi\) | |||||||
\(30\) | 11.7104 | + | 20.2829i | 0.0712670 | + | 0.123438i | ||||
\(31\) | 114.867 | − | 198.955i | 0.665504 | − | 1.15269i | −0.313644 | − | 0.949541i | \(-0.601550\pi\) |
0.979148 | − | 0.203147i | \(-0.0651169\pi\) | |||||||
\(32\) | −30.0702 | + | 10.9446i | −0.166116 | + | 0.0604612i | ||||
\(33\) | −3.29001 | − | 18.6586i | −0.0173551 | − | 0.0984256i | ||||
\(34\) | −25.9765 | + | 147.320i | −0.131028 | + | 0.743095i | ||||
\(35\) | −6.27818 | − | 2.28507i | −0.0303202 | − | 0.0110356i | ||||
\(36\) | −6.63699 | + | 5.56909i | −0.0307268 | + | 0.0257828i | ||||
\(37\) | 401.456 | 1.78376 | 0.891878 | − | 0.452276i | \(-0.149388\pi\) | ||||
0.891878 | + | 0.452276i | \(0.149388\pi\) | |||||||
\(38\) | 29.5662 | + | 162.978i | 0.126217 | + | 0.695751i | ||||
\(39\) | −81.6905 | −0.335409 | ||||||||
\(40\) | 14.4009 | − | 12.0838i | 0.0569247 | − | 0.0477655i | ||||
\(41\) | 60.9251 | + | 22.1749i | 0.232071 | + | 0.0844668i | 0.455438 | − | 0.890268i | \(-0.349483\pi\) |
−0.223367 | + | 0.974734i | \(0.571705\pi\) | |||||||
\(42\) | −4.92067 | + | 27.9065i | −0.0180780 | + | 0.102526i | ||||
\(43\) | −13.5220 | − | 76.6872i | −0.0479555 | − | 0.271969i | 0.951396 | − | 0.307969i | \(-0.0996495\pi\) |
−0.999352 | + | 0.0360001i | \(0.988538\pi\) | |||||||
\(44\) | −14.2906 | + | 5.20135i | −0.0489633 | + | 0.0178212i | ||||
\(45\) | 2.54492 | − | 4.40793i | 0.00843053 | − | 0.0146021i | ||||
\(46\) | −35.0510 | − | 60.7102i | −0.112348 | − | 0.194592i | ||||
\(47\) | −356.545 | − | 299.176i | −1.10654 | − | 0.928497i | −0.108693 | − | 0.994075i | \(-0.534666\pi\) |
−0.997847 | + | 0.0655782i | \(0.979111\pi\) | |||||||
\(48\) | −61.0798 | − | 51.2520i | −0.183669 | − | 0.154116i | ||||
\(49\) | 167.458 | + | 290.046i | 0.488216 | + | 0.845616i | ||||
\(50\) | 119.478 | − | 206.942i | 0.337935 | − | 0.585320i | ||||
\(51\) | −350.260 | + | 127.484i | −0.961690 | + | 0.350026i | ||||
\(52\) | 11.3862 | + | 64.5743i | 0.0303650 | + | 0.172209i | ||||
\(53\) | −12.3203 | + | 69.8721i | −0.0319307 | + | 0.181088i | −0.996602 | − | 0.0823686i | \(-0.973752\pi\) |
0.964671 | + | 0.263457i | \(0.0848626\pi\) | |||||||
\(54\) | −273.159 | − | 99.4219i | −0.688375 | − | 0.250548i | ||||
\(55\) | 6.84392 | − | 5.74273i | 0.0167788 | − | 0.0140791i | ||||
\(56\) | 22.7453 | 0.0542761 | ||||||||
\(57\) | −314.850 | + | 266.845i | −0.731629 | + | 0.620078i | ||||
\(58\) | 156.336 | 0.353930 | ||||||||
\(59\) | −508.257 | + | 426.478i | −1.12152 | + | 0.941064i | −0.998680 | − | 0.0513634i | \(-0.983643\pi\) |
−0.122836 | + | 0.992427i | \(0.539199\pi\) | |||||||
\(60\) | 44.0165 | + | 16.0207i | 0.0947085 | + | 0.0344711i | ||||
\(61\) | −27.4270 | + | 155.546i | −0.0575683 | + | 0.326486i | −0.999968 | − | 0.00800277i | \(-0.997453\pi\) |
0.942400 | + | 0.334489i | \(0.108564\pi\) | |||||||
\(62\) | −79.7855 | − | 452.486i | −0.163432 | − | 0.926867i | ||||
\(63\) | 5.78687 | − | 2.10625i | 0.0115727 | − | 0.00421210i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −19.2604 | − | 33.3600i | −0.0367532 | − | 0.0636584i | ||||
\(66\) | −29.0276 | − | 24.3571i | −0.0541372 | − | 0.0454265i | ||||
\(67\) | 68.6778 | + | 57.6275i | 0.125229 | + | 0.105079i | 0.703251 | − | 0.710942i | \(-0.251731\pi\) |
−0.578022 | + | 0.816021i | \(0.696175\pi\) | |||||||
\(68\) | 149.593 | + | 259.103i | 0.266777 | + | 0.462071i | ||||
\(69\) | 87.3362 | − | 151.271i | 0.152377 | − | 0.263926i | ||||
\(70\) | −12.5564 | + | 4.57014i | −0.0214396 | + | 0.00780337i | ||||
\(71\) | −109.611 | − | 621.638i | −0.183218 | − | 1.03908i | −0.928223 | − | 0.372023i | \(-0.878664\pi\) |
0.745005 | − | 0.667059i | \(-0.232447\pi\) | |||||||
\(72\) | −3.00897 | + | 17.0647i | −0.00492514 | + | 0.0279318i | ||||
\(73\) | 713.200 | + | 259.583i | 1.14348 | + | 0.416191i | 0.843167 | − | 0.537651i | \(-0.180688\pi\) |
0.300308 | + | 0.953842i | \(0.402911\pi\) | |||||||
\(74\) | 615.066 | − | 516.102i | 0.966217 | − | 0.810752i | ||||
\(75\) | 595.404 | 0.916684 | ||||||||
\(76\) | 254.819 | + | 211.687i | 0.384601 | + | 0.319503i | ||||
\(77\) | 10.8095 | 0.0159981 | ||||||||
\(78\) | −125.157 | + | 105.019i | −0.181683 | + | 0.152450i | ||||
\(79\) | 774.641 | + | 281.946i | 1.10321 | + | 0.401537i | 0.828500 | − | 0.559989i | \(-0.189194\pi\) |
0.274714 | + | 0.961526i | \(0.411417\pi\) | |||||||
\(80\) | 6.52885 | − | 37.0270i | 0.00912435 | − | 0.0517468i | ||||
\(81\) | −115.620 | − | 655.711i | −0.158600 | − | 0.899467i | ||||
\(82\) | 121.850 | − | 44.3498i | 0.164099 | − | 0.0597270i | ||||
\(83\) | 66.3727 | − | 114.961i | 0.0877753 | − | 0.152031i | −0.818795 | − | 0.574086i | \(-0.805358\pi\) |
0.906570 | + | 0.422055i | \(0.138691\pi\) | |||||||
\(84\) | 28.3370 | + | 49.0812i | 0.0368074 | + | 0.0637523i | ||||
\(85\) | −134.642 | − | 112.978i | −0.171812 | − | 0.144167i | ||||
\(86\) | −119.304 | − | 100.108i | −0.149592 | − | 0.125522i | ||||
\(87\) | 194.770 | + | 337.352i | 0.240018 | + | 0.415723i | ||||
\(88\) | −15.2077 | + | 26.3405i | −0.0184221 | + | 0.0319081i | ||||
\(89\) | −1326.11 | + | 482.664i | −1.57941 | + | 0.574857i | −0.975075 | − | 0.221876i | \(-0.928782\pi\) |
−0.604332 | + | 0.796733i | \(0.706560\pi\) | |||||||
\(90\) | −1.76768 | − | 10.0250i | −0.00207033 | − | 0.0117414i | ||||
\(91\) | 8.09319 | − | 45.8987i | 0.00932304 | − | 0.0528736i | ||||
\(92\) | −131.749 | − | 47.9527i | −0.149302 | − | 0.0543414i | ||||
\(93\) | 877.003 | − | 735.892i | 0.977859 | − | 0.820521i | ||||
\(94\) | −930.872 | −1.02141 | ||||||||
\(95\) | −183.204 | − | 65.6605i | −0.197857 | − | 0.0709118i | ||||
\(96\) | −159.468 | −0.169538 | ||||||||
\(97\) | −1011.58 | + | 848.815i | −1.05887 | + | 0.888496i | −0.993998 | − | 0.109398i | \(-0.965108\pi\) |
−0.0648699 | + | 0.997894i | \(0.520663\pi\) | |||||||
\(98\) | 629.437 | + | 229.096i | 0.648803 | + | 0.236145i | ||||
\(99\) | −1.42998 | + | 8.10984i | −0.00145171 | + | 0.00823303i | ||||
\(100\) | −82.9886 | − | 470.652i | −0.0829886 | − | 0.470652i | ||||
\(101\) | 272.864 | − | 99.3143i | 0.268821 | − | 0.0978430i | −0.204093 | − | 0.978952i | \(-0.565424\pi\) |
0.472914 | + | 0.881109i | \(0.343202\pi\) | |||||||
\(102\) | −372.739 | + | 645.602i | −0.361830 | + | 0.626707i | ||||
\(103\) | −303.088 | − | 524.964i | −0.289943 | − | 0.502197i | 0.683853 | − | 0.729620i | \(-0.260303\pi\) |
−0.973796 | + | 0.227424i | \(0.926970\pi\) | |||||||
\(104\) | 100.460 | + | 84.2958i | 0.0947201 | + | 0.0794796i | ||||
\(105\) | −25.5050 | − | 21.4012i | −0.0237051 | − | 0.0198909i | ||||
\(106\) | 70.9500 | + | 122.889i | 0.0650120 | + | 0.112604i | ||||
\(107\) | −364.367 | + | 631.101i | −0.329202 | + | 0.570195i | −0.982354 | − | 0.187032i | \(-0.940113\pi\) |
0.653151 | + | 0.757227i | \(0.273446\pi\) | |||||||
\(108\) | −546.319 | + | 198.844i | −0.486755 | + | 0.177164i | ||||
\(109\) | −260.479 | − | 1477.25i | −0.228893 | − | 1.29812i | −0.855100 | − | 0.518463i | \(-0.826505\pi\) |
0.626207 | − | 0.779657i | \(-0.284607\pi\) | |||||||
\(110\) | 3.10278 | − | 17.5967i | 0.00268944 | − | 0.0152526i | ||||
\(111\) | 1879.95 | + | 684.247i | 1.60754 | + | 0.585098i | ||||
\(112\) | 34.8478 | − | 29.2407i | 0.0294000 | − | 0.0246696i | ||||
\(113\) | −1048.77 | −0.873094 | −0.436547 | − | 0.899681i | \(-0.643799\pi\) | ||||
−0.436547 | + | 0.899681i | \(0.643799\pi\) | |||||||
\(114\) | −139.328 | + | 813.593i | −0.114468 | + | 0.668421i | ||||
\(115\) | 82.3660 | 0.0667884 | ||||||||
\(116\) | 239.521 | − | 200.982i | 0.191715 | − | 0.160868i | ||||
\(117\) | 33.3650 | + | 12.1439i | 0.0263641 | + | 0.00959573i | ||||
\(118\) | −230.425 | + | 1306.81i | −0.179766 | + | 1.01950i | ||||
\(119\) | −36.9277 | − | 209.427i | −0.0284467 | − | 0.161329i | ||||
\(120\) | 88.0331 | − | 32.0414i | 0.0669690 | − | 0.0243747i | ||||
\(121\) | 658.273 | − | 1140.16i | 0.494570 | − | 0.856620i | ||||
\(122\) | 157.946 | + | 273.570i | 0.117211 | + | 0.203015i | ||||
\(123\) | 247.507 | + | 207.683i | 0.181439 | + | 0.152245i | ||||
\(124\) | −703.943 | − | 590.678i | −0.509806 | − | 0.427778i | ||||
\(125\) | 287.248 | + | 497.528i | 0.205538 | + | 0.356002i | ||||
\(126\) | 6.15826 | − | 10.6664i | 0.00435414 | − | 0.00754159i | ||||
\(127\) | −2220.44 | + | 808.176i | −1.55144 | + | 0.564677i | −0.968754 | − | 0.248022i | \(-0.920219\pi\) |
−0.582683 | + | 0.812699i | \(0.697997\pi\) | |||||||
\(128\) | 22.2270 | + | 126.055i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | 67.3853 | − | 382.161i | 0.0459918 | − | 0.260832i | ||||
\(130\) | −72.3954 | − | 26.3498i | −0.0488423 | − | 0.0177771i | ||||
\(131\) | 1360.37 | − | 1141.48i | 0.907297 | − | 0.761312i | −0.0643062 | − | 0.997930i | \(-0.520483\pi\) |
0.971603 | + | 0.236618i | \(0.0760390\pi\) | |||||||
\(132\) | −75.7857 | −0.0499720 | ||||||||
\(133\) | −118.737 | − | 203.338i | −0.0774122 | − | 0.132569i | ||||
\(134\) | 179.305 | 0.115594 | ||||||||
\(135\) | 261.638 | − | 219.540i | 0.166802 | − | 0.139963i | ||||
\(136\) | 562.285 | + | 204.655i | 0.354526 | + | 0.129037i | ||||
\(137\) | −329.182 | + | 1866.88i | −0.205284 | + | 1.16422i | 0.691709 | + | 0.722177i | \(0.256858\pi\) |
−0.896993 | + | 0.442046i | \(0.854253\pi\) | |||||||
\(138\) | −60.6631 | − | 344.038i | −0.0374202 | − | 0.212220i | ||||
\(139\) | 177.152 | − | 64.4779i | 0.108099 | − | 0.0393449i | −0.287404 | − | 0.957809i | \(-0.592792\pi\) |
0.395504 | + | 0.918464i | \(0.370570\pi\) | |||||||
\(140\) | −13.3622 | + | 23.1440i | −0.00806651 | + | 0.0139716i | ||||
\(141\) | −1159.72 | − | 2008.69i | −0.692667 | − | 1.19973i | ||||
\(142\) | −967.097 | − | 811.490i | −0.571528 | − | 0.479569i | ||||
\(143\) | 47.7426 | + | 40.0608i | 0.0279192 | + | 0.0234270i | ||||
\(144\) | 17.3279 | + | 30.0129i | 0.0100277 | + | 0.0173686i | ||||
\(145\) | −91.8430 | + | 159.077i | −0.0526010 | + | 0.0911076i | ||||
\(146\) | 1426.40 | − | 519.167i | 0.808559 | − | 0.294291i | ||||
\(147\) | 289.821 | + | 1643.66i | 0.162613 | + | 0.922222i | ||||
\(148\) | 278.849 | − | 1581.43i | 0.154873 | − | 0.878328i | ||||
\(149\) | 2329.07 | + | 847.713i | 1.28057 | + | 0.466090i | 0.890621 | − | 0.454746i | \(-0.150270\pi\) |
0.389950 | + | 0.920836i | \(0.372492\pi\) | |||||||
\(150\) | 912.211 | − | 765.436i | 0.496545 | − | 0.416651i | ||||
\(151\) | 885.978 | 0.477483 | 0.238741 | − | 0.971083i | \(-0.423265\pi\) | ||||
0.238741 | + | 0.971083i | \(0.423265\pi\) | |||||||
\(152\) | 662.545 | − | 3.26457i | 0.353549 | − | 0.00174205i | ||||
\(153\) | 162.009 | 0.0856053 | ||||||||
\(154\) | 16.5611 | − | 13.8964i | 0.00866579 | − | 0.00727146i | ||||
\(155\) | 507.290 | + | 184.638i | 0.262881 | + | 0.0956807i | ||||
\(156\) | −56.7416 | + | 321.798i | −0.0291216 | + | 0.165157i | ||||
\(157\) | −213.486 | − | 1210.74i | −0.108523 | − | 0.615462i | −0.989755 | − | 0.142778i | \(-0.954396\pi\) |
0.881232 | − | 0.472684i | \(-0.156715\pi\) | |||||||
\(158\) | 1549.28 | − | 563.893i | 0.780091 | − | 0.283930i | ||||
\(159\) | −176.785 | + | 306.201i | −0.0881760 | + | 0.152725i | ||||
\(160\) | −37.5982 | − | 65.1219i | −0.0185775 | − | 0.0321771i | ||||
\(161\) | 76.3407 | + | 64.0574i | 0.0373695 | + | 0.0313567i | ||||
\(162\) | −1020.11 | − | 855.970i | −0.494735 | − | 0.415132i | ||||
\(163\) | −233.423 | − | 404.300i | −0.112166 | − | 0.194277i | 0.804477 | − | 0.593983i | \(-0.202446\pi\) |
−0.916643 | + | 0.399706i | \(0.869112\pi\) | |||||||
\(164\) | 129.670 | − | 224.595i | 0.0617411 | − | 0.106939i | ||||
\(165\) | 41.8369 | − | 15.2274i | 0.0197394 | − | 0.00718456i | ||||
\(166\) | −46.1020 | − | 261.457i | −0.0215555 | − | 0.122247i | ||||
\(167\) | −623.548 | + | 3536.32i | −0.288932 | + | 1.63861i | 0.401962 | + | 0.915656i | \(0.368328\pi\) |
−0.690894 | + | 0.722957i | \(0.742783\pi\) | |||||||
\(168\) | 106.512 | + | 38.7673i | 0.0489143 | + | 0.0178034i | ||||
\(169\) | −1477.15 | + | 1239.48i | −0.672349 | + | 0.564167i | ||||
\(170\) | −351.526 | −0.158593 | ||||||||
\(171\) | 168.263 | − | 62.1833i | 0.0752479 | − | 0.0278086i | ||||
\(172\) | −311.481 | −0.138082 | ||||||||
\(173\) | 221.077 | − | 185.505i | 0.0971569 | − | 0.0815244i | −0.592915 | − | 0.805265i | \(-0.702023\pi\) |
0.690072 | + | 0.723740i | \(0.257579\pi\) | |||||||
\(174\) | 732.097 | + | 266.461i | 0.318966 | + | 0.116094i | ||||
\(175\) | −58.9874 | + | 334.534i | −0.0254802 | + | 0.144505i | ||||
\(176\) | 10.5632 | + | 59.9067i | 0.00452403 | + | 0.0256570i | ||||
\(177\) | −3106.98 | + | 1130.85i | −1.31941 | + | 0.480225i | ||||
\(178\) | −1411.22 | + | 2444.30i | −0.594242 | + | 1.02926i | ||||
\(179\) | −1987.87 | − | 3443.10i | −0.830060 | − | 1.43771i | −0.897990 | − | 0.440015i | \(-0.854973\pi\) |
0.0679306 | − | 0.997690i | \(-0.478360\pi\) | |||||||
\(180\) | −15.5962 | − | 13.0867i | −0.00645816 | − | 0.00541904i | ||||
\(181\) | 529.525 | + | 444.324i | 0.217455 | + | 0.182466i | 0.745007 | − | 0.667056i | \(-0.232446\pi\) |
−0.527553 | + | 0.849522i | \(0.676890\pi\) | |||||||
\(182\) | −46.6068 | − | 80.7253i | −0.0189820 | − | 0.0328778i | ||||
\(183\) | −393.552 | + | 681.651i | −0.158974 | + | 0.275350i | ||||
\(184\) | −263.498 | + | 95.9053i | −0.105572 | + | 0.0384252i | ||||
\(185\) | 163.816 | + | 929.044i | 0.0651025 | + | 0.369214i | ||||
\(186\) | 397.601 | − | 2254.91i | 0.156739 | − | 0.888912i | ||||
\(187\) | 267.221 | + | 97.2606i | 0.104498 | + | 0.0380342i | ||||
\(188\) | −1426.18 | + | 1196.71i | −0.553270 | + | 0.464249i | ||||
\(189\) | 413.239 | 0.159041 | ||||||||
\(190\) | −365.097 | + | 134.925i | −0.139405 | + | 0.0515185i | ||||
\(191\) | 2235.13 | 0.846746 | 0.423373 | − | 0.905955i | \(-0.360846\pi\) | ||||
0.423373 | + | 0.905955i | \(0.360846\pi\) | |||||||
\(192\) | −244.319 | + | 205.008i | −0.0918344 | + | 0.0770582i | ||||
\(193\) | −3759.67 | − | 1368.41i | −1.40221 | − | 0.510363i | −0.473377 | − | 0.880860i | \(-0.656965\pi\) |
−0.928834 | + | 0.370497i | \(0.879187\pi\) | |||||||
\(194\) | −458.612 | + | 2600.92i | −0.169724 | + | 0.962552i | ||||
\(195\) | −33.3341 | − | 189.047i | −0.0122416 | − | 0.0694253i | ||||
\(196\) | 1258.87 | − | 458.193i | 0.458773 | − | 0.166980i | ||||
\(197\) | 1048.97 | − | 1816.87i | 0.379371 | − | 0.657089i | −0.611600 | − | 0.791167i | \(-0.709474\pi\) |
0.990971 | + | 0.134078i | \(0.0428072\pi\) | |||||||
\(198\) | 8.23495 | + | 14.2634i | 0.00295572 | + | 0.00511946i | ||||
\(199\) | −1449.02 | − | 1215.87i | −0.516171 | − | 0.433119i | 0.347123 | − | 0.937819i | \(-0.387158\pi\) |
−0.863294 | + | 0.504701i | \(0.831603\pi\) | |||||||
\(200\) | −732.204 | − | 614.392i | −0.258873 | − | 0.217220i | ||||
\(201\) | 223.386 | + | 386.916i | 0.0783902 | + | 0.135776i | ||||
\(202\) | 290.376 | − | 502.945i | 0.101142 | − | 0.175184i | ||||
\(203\) | −208.841 | + | 76.0120i | −0.0722058 | + | 0.0262808i | ||||
\(204\) | 258.902 | + | 1468.30i | 0.0888565 | + | 0.503930i | ||||
\(205\) | −26.4562 | + | 150.040i | −0.00901356 | + | 0.0511184i | ||||
\(206\) | −1139.24 | − | 414.649i | −0.385313 | − | 0.140243i | ||||
\(207\) | −58.1583 | + | 48.8006i | −0.0195279 | + | 0.0163859i | ||||
\(208\) | 262.282 | 0.0874326 | ||||||||
\(209\) | 314.868 | − | 1.55146i | 0.104210 | − | 0.000513477i | ||||
\(210\) | −66.5888 | −0.0218813 | ||||||||
\(211\) | 1583.33 | − | 1328.57i | 0.516591 | − | 0.433471i | −0.346850 | − | 0.937920i | \(-0.612749\pi\) |
0.863441 | + | 0.504449i | \(0.168304\pi\) | |||||||
\(212\) | 266.685 | + | 97.0653i | 0.0863962 | + | 0.0314456i | ||||
\(213\) | 546.235 | − | 3097.85i | 0.175716 | − | 0.996532i | ||||
\(214\) | 253.086 | + | 1435.32i | 0.0808441 | + | 0.458489i | ||||
\(215\) | 171.951 | − | 62.5849i | 0.0545439 | − | 0.0198524i | ||||
\(216\) | −581.380 | + | 1006.98i | −0.183138 | + | 0.317205i | ||||
\(217\) | 326.584 | + | 565.660i | 0.102166 | + | 0.176956i | ||||
\(218\) | −2298.20 | − | 1928.41i | −0.714007 | − | 0.599123i | ||||
\(219\) | 2897.36 | + | 2431.17i | 0.893998 | + | 0.750153i | ||||
\(220\) | −17.8682 | − | 30.9486i | −0.00547579 | − | 0.00948435i | ||||
\(221\) | 613.055 | − | 1061.84i | 0.186600 | − | 0.323200i | ||||
\(222\) | 3759.91 | − | 1368.49i | 1.13671 | − | 0.413727i | ||||
\(223\) | 200.455 | + | 1136.83i | 0.0601948 | + | 0.341381i | 1.00000 | 0.000329250i | \(-0.000104803\pi\) | |
−0.939805 | + | 0.341711i | \(0.888994\pi\) | |||||||
\(224\) | 15.7987 | − | 89.5988i | 0.00471248 | − | 0.0267258i | ||||
\(225\) | −243.182 | − | 88.5109i | −0.0720538 | − | 0.0262254i | ||||
\(226\) | −1606.80 | + | 1348.27i | −0.472933 | + | 0.396838i | ||||
\(227\) | 829.315 | 0.242483 | 0.121241 | − | 0.992623i | \(-0.461312\pi\) | ||||
0.121241 | + | 0.992623i | \(0.461312\pi\) | |||||||
\(228\) | 832.471 | + | 1425.61i | 0.241806 | + | 0.414095i | ||||
\(229\) | 5032.36 | 1.45217 | 0.726087 | − | 0.687603i | \(-0.241337\pi\) | ||||
0.726087 | + | 0.687603i | \(0.241337\pi\) | |||||||
\(230\) | 126.192 | − | 105.888i | 0.0361776 | − | 0.0303566i | ||||
\(231\) | 50.6191 | + | 18.4238i | 0.0144177 | + | 0.00524762i | ||||
\(232\) | 108.590 | − | 615.844i | 0.0307296 | − | 0.174276i | ||||
\(233\) | 216.866 | + | 1229.91i | 0.0609758 | + | 0.345811i | 0.999998 | + | 0.00195479i | \(0.000622230\pi\) |
−0.939022 | + | 0.343856i | \(0.888267\pi\) | |||||||
\(234\) | 66.7300 | − | 24.2877i | 0.0186422 | − | 0.00678521i | ||||
\(235\) | 546.861 | − | 947.190i | 0.151801 | − | 0.262927i | ||||
\(236\) | 1326.97 | + | 2298.37i | 0.366009 | + | 0.633946i | ||||
\(237\) | 3146.97 | + | 2640.62i | 0.862521 | + | 0.723741i | ||||
\(238\) | −325.811 | − | 273.388i | −0.0887361 | − | 0.0744585i | ||||
\(239\) | −2364.18 | − | 4094.89i | −0.639859 | − | 1.10827i | −0.985463 | − | 0.169888i | \(-0.945659\pi\) |
0.345604 | − | 0.938380i | \(-0.387674\pi\) | |||||||
\(240\) | 93.6829 | − | 162.263i | 0.0251967 | − | 0.0436419i | ||||
\(241\) | −379.823 | + | 138.244i | −0.101521 | + | 0.0369506i | −0.392281 | − | 0.919845i | \(-0.628314\pi\) |
0.290760 | + | 0.956796i | \(0.406092\pi\) | |||||||
\(242\) | −457.231 | − | 2593.09i | −0.121454 | − | 0.688802i | ||||
\(243\) | −105.275 | + | 597.042i | −0.0277917 | + | 0.157614i | ||||
\(244\) | 593.682 | + | 216.083i | 0.155765 | + | 0.0566937i | ||||
\(245\) | −602.889 | + | 505.884i | −0.157213 | + | 0.131917i | ||||
\(246\) | 646.195 | 0.167479 | ||||||||
\(247\) | 229.158 | − | 1338.14i | 0.0590323 | − | 0.344712i | ||||
\(248\) | −1837.86 | −0.470583 | ||||||||
\(249\) | 506.754 | − | 425.217i | 0.128973 | − | 0.108221i | ||||
\(250\) | 1079.70 | + | 392.978i | 0.273144 | + | 0.0994164i | ||||
\(251\) | 1103.55 | − | 6258.53i | 0.277511 | − | 1.57384i | −0.453359 | − | 0.891328i | \(-0.649774\pi\) |
0.730870 | − | 0.682517i | \(-0.239115\pi\) | |||||||
\(252\) | −4.27748 | − | 24.2588i | −0.00106927 | − | 0.00606413i | ||||
\(253\) | −125.225 | + | 45.5782i | −0.0311179 | + | 0.0113260i | ||||
\(254\) | −2362.95 | + | 4092.74i | −0.583718 | + | 1.01103i | ||||
\(255\) | −437.947 | − | 758.546i | −0.107550 | − | 0.186282i | ||||
\(256\) | 196.107 | + | 164.554i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 3325.92 | + | 2790.78i | 0.807257 | + | 0.677369i | 0.949951 | − | 0.312398i | \(-0.101132\pi\) |
−0.142695 | + | 0.989767i | \(0.545577\pi\) | |||||||
\(258\) | −388.056 | − | 672.133i | −0.0936408 | − | 0.162191i | ||||
\(259\) | −570.702 | + | 988.484i | −0.136918 | + | 0.237148i | ||||
\(260\) | −144.791 | + | 52.6995i | −0.0345367 | + | 0.0125703i | ||||
\(261\) | −29.4006 | − | 166.739i | −0.00697262 | − | 0.0395437i | ||||
\(262\) | 616.740 | − | 3497.71i | 0.145429 | − | 0.824768i | ||||
\(263\) | −5755.73 | − | 2094.92i | −1.34948 | − | 0.491171i | −0.436696 | − | 0.899609i | \(-0.643851\pi\) |
−0.912786 | + | 0.408438i | \(0.866074\pi\) | |||||||
\(264\) | −116.110 | + | 97.4283i | −0.0270686 | + | 0.0227132i | ||||
\(265\) | −166.724 | −0.0386483 | ||||||||
\(266\) | −443.323 | − | 158.887i | −0.102187 | − | 0.0366240i | ||||
\(267\) | −7032.61 | −1.61194 | ||||||||
\(268\) | 274.711 | − | 230.510i | 0.0626144 | − | 0.0525397i | ||||
\(269\) | −5575.72 | − | 2029.40i | −1.26378 | − | 0.459980i | −0.378747 | − | 0.925500i | \(-0.623645\pi\) |
−0.885037 | + | 0.465521i | \(0.845867\pi\) | |||||||
\(270\) | 118.617 | − | 672.711i | 0.0267363 | − | 0.151629i | ||||
\(271\) | 1127.05 | + | 6391.80i | 0.252632 | + | 1.43275i | 0.802079 | + | 0.597218i | \(0.203727\pi\) |
−0.549448 | + | 0.835528i | \(0.685162\pi\) | |||||||
\(272\) | 1124.57 | − | 409.310i | 0.250688 | − | 0.0912429i | ||||
\(273\) | 116.130 | − | 201.142i | 0.0257453 | − | 0.0445922i | ||||
\(274\) | 1895.68 | + | 3283.42i | 0.417965 | + | 0.723936i | ||||
\(275\) | −347.973 | − | 291.984i | −0.0763040 | − | 0.0640266i | ||||
\(276\) | −535.227 | − | 449.109i | −0.116728 | − | 0.0979464i | ||||
\(277\) | 1187.20 | + | 2056.30i | 0.257517 | + | 0.446032i | 0.965576 | − | 0.260121i | \(-0.0837625\pi\) |
−0.708059 | + | 0.706153i | \(0.750429\pi\) | |||||||
\(278\) | 188.521 | − | 326.528i | 0.0406717 | − | 0.0704454i | ||||
\(279\) | −467.591 | + | 170.189i | −0.100337 | + | 0.0365196i | ||||
\(280\) | 9.28128 | + | 52.6368i | 0.00198094 | + | 0.0112345i | ||||
\(281\) | −808.693 | + | 4586.33i | −0.171682 | + | 0.973656i | 0.770223 | + | 0.637775i | \(0.220145\pi\) |
−0.941905 | + | 0.335881i | \(0.890966\pi\) | |||||||
\(282\) | −4359.12 | − | 1586.59i | −0.920504 | − | 0.335036i | ||||
\(283\) | −2339.64 | + | 1963.19i | −0.491439 | + | 0.412366i | −0.854542 | − | 0.519383i | \(-0.826162\pi\) |
0.363103 | + | 0.931749i | \(0.381717\pi\) | |||||||
\(284\) | −2524.91 | −0.527556 | ||||||||
\(285\) | −746.004 | − | 619.734i | −0.155051 | − | 0.128806i | ||||
\(286\) | 124.647 | 0.0257711 | ||||||||
\(287\) | −141.210 | + | 118.489i | −0.0290430 | + | 0.0243700i | ||||
\(288\) | 65.1317 | + | 23.7060i | 0.0133261 | + | 0.00485031i | ||||
\(289\) | 118.343 | − | 671.156i | 0.0240877 | − | 0.136608i | ||||
\(290\) | 63.7935 | + | 361.791i | 0.0129175 | + | 0.0732589i | ||||
\(291\) | −6183.79 | + | 2250.71i | −1.24570 | + | 0.453399i | ||||
\(292\) | 1517.94 | − | 2629.15i | 0.304215 | − | 0.526916i | ||||
\(293\) | 4828.41 | + | 8363.06i | 0.962727 | + | 1.66749i | 0.715602 | + | 0.698508i | \(0.246153\pi\) |
0.247125 | + | 0.968984i | \(0.420514\pi\) | |||||||
\(294\) | 2557.08 | + | 2145.64i | 0.507251 | + | 0.425634i | ||||
\(295\) | −1194.35 | − | 1002.18i | −0.235720 | − | 0.197793i | ||||
\(296\) | −1605.82 | − | 2781.37i | −0.315327 | − | 0.546162i | ||||
\(297\) | −276.296 | + | 478.558i | −0.0539808 | + | 0.0934975i | ||||
\(298\) | 4658.15 | − | 1695.43i | 0.905501 | − | 0.329575i | ||||
\(299\) | 99.7745 | + | 565.849i | 0.0192980 | + | 0.109445i | ||||
\(300\) | 413.563 | − | 2345.43i | 0.0795902 | − | 0.451379i | ||||
\(301\) | 208.045 | + | 75.7223i | 0.0398390 | + | 0.0145002i | ||||
\(302\) | 1357.40 | − | 1138.99i | 0.258640 | − | 0.217025i | ||||
\(303\) | 1447.05 | 0.274359 | ||||||||
\(304\) | 1010.88 | − | 856.753i | 0.190717 | − | 0.161639i | ||||
\(305\) | −371.155 | −0.0696795 | ||||||||
\(306\) | 248.211 | − | 208.274i | 0.0463703 | − | 0.0389093i | ||||
\(307\) | 1194.03 | + | 434.591i | 0.221977 | + | 0.0807929i | 0.450614 | − | 0.892719i | \(-0.351205\pi\) |
−0.228638 | + | 0.973512i | \(0.573427\pi\) | |||||||
\(308\) | 7.50819 | − | 42.5811i | 0.00138902 | − | 0.00787754i | ||||
\(309\) | −524.557 | − | 2974.91i | −0.0965728 | − | 0.547692i | ||||
\(310\) | 1014.58 | − | 369.277i | 0.185885 | − | 0.0676565i | ||||
\(311\) | 2593.69 | − | 4492.40i | 0.472908 | − | 0.819101i | −0.526611 | − | 0.850106i | \(-0.676538\pi\) |
0.999519 | + | 0.0310052i | \(0.00987085\pi\) | |||||||
\(312\) | 326.762 | + | 565.969i | 0.0592925 | + | 0.102698i | ||||
\(313\) | 5953.19 | + | 4995.32i | 1.07506 | + | 0.902084i | 0.995501 | − | 0.0947462i | \(-0.0302039\pi\) |
0.0795603 | + | 0.996830i | \(0.474648\pi\) | |||||||
\(314\) | −1883.58 | − | 1580.51i | −0.338523 | − | 0.284055i | ||||
\(315\) | 7.23560 | + | 12.5324i | 0.00129422 | + | 0.00224166i | ||||
\(316\) | 1648.71 | − | 2855.65i | 0.293504 | − | 0.508364i | ||||
\(317\) | 6133.80 | − | 2232.52i | 1.08678 | − | 0.395555i | 0.264351 | − | 0.964426i | \(-0.414842\pi\) |
0.822426 | + | 0.568872i | \(0.192620\pi\) | |||||||
\(318\) | 122.794 | + | 696.398i | 0.0216539 | + | 0.122805i | ||||
\(319\) | 51.6064 | − | 292.674i | 0.00905769 | − | 0.0513687i | ||||
\(320\) | −141.323 | − | 51.4373i | −0.0246881 | − | 0.00898573i | ||||
\(321\) | −2781.93 | + | 2334.31i | −0.483714 | + | 0.405884i | ||||
\(322\) | 199.311 | 0.0344944 | ||||||||
\(323\) | −1105.72 | − | 6095.09i | −0.190477 | − | 1.04997i | ||||
\(324\) | −2663.31 | −0.456671 | ||||||||
\(325\) | −1500.34 | + | 1258.94i | −0.256074 | + | 0.214871i | ||||
\(326\) | −877.382 | − | 319.341i | −0.149060 | − | 0.0542536i | ||||
\(327\) | 1298.07 | − | 7361.70i | 0.219520 | − | 1.24496i | ||||
\(328\) | −90.0680 | − | 510.801i | −0.0151621 | − | 0.0859886i | ||||
\(329\) | 1243.50 | − | 452.598i | 0.208378 | − | 0.0758436i | ||||
\(330\) | 44.5219 | − | 77.1143i | 0.00742683 | − | 0.0128636i | ||||
\(331\) | 4241.73 | + | 7346.90i | 0.704371 | + | 1.22001i | 0.966918 | + | 0.255087i | \(0.0821041\pi\) |
−0.262547 | + | 0.964919i | \(0.584563\pi\) | |||||||
\(332\) | −406.756 | − | 341.308i | −0.0672398 | − | 0.0564209i | ||||
\(333\) | −666.115 | − | 558.937i | −0.109618 | − | 0.0919806i | ||||
\(334\) | 3590.87 | + | 6219.57i | 0.588274 | + | 1.01892i | ||||
\(335\) | −105.337 | + | 182.448i | −0.0171795 | + | 0.0297558i | ||||
\(336\) | 213.025 | − | 77.5347i | 0.0345877 | − | 0.0125889i | ||||
\(337\) | −960.420 | − | 5446.81i | −0.155245 | − | 0.880435i | −0.958562 | − | 0.284884i | \(-0.908045\pi\) |
0.803317 | − | 0.595551i | \(-0.203066\pi\) | |||||||
\(338\) | −669.685 | + | 3797.97i | −0.107769 | + | 0.611191i | ||||
\(339\) | −4911.20 | − | 1787.53i | −0.786843 | − | 0.286388i | ||||
\(340\) | −538.569 | + | 451.913i | −0.0859060 | + | 0.0720837i | ||||
\(341\) | −873.429 | −0.138706 | ||||||||
\(342\) | 177.852 | − | 311.585i | 0.0281203 | − | 0.0492649i | ||||
\(343\) | −1927.42 | −0.303414 | ||||||||
\(344\) | −477.216 | + | 400.432i | −0.0747959 | + | 0.0627612i | ||||
\(345\) | 385.707 | + | 140.386i | 0.0601906 | + | 0.0219076i | ||||
\(346\) | 100.228 | − | 568.421i | 0.0155731 | − | 0.0883194i | ||||
\(347\) | 1616.52 | + | 9167.75i | 0.250085 | + | 1.41830i | 0.808381 | + | 0.588660i | \(0.200344\pi\) |
−0.558296 | + | 0.829642i | \(0.688545\pi\) | |||||||
\(348\) | 1464.19 | − | 532.923i | 0.225543 | − | 0.0820910i | ||||
\(349\) | 4328.92 | − | 7497.92i | 0.663960 | − | 1.15001i | −0.315606 | − | 0.948890i | \(-0.602208\pi\) |
0.979566 | − | 0.201122i | \(-0.0644588\pi\) | |||||||
\(350\) | 339.695 | + | 588.369i | 0.0518785 | + | 0.0898561i | ||||
\(351\) | 1825.17 | + | 1531.50i | 0.277550 | + | 0.232892i | ||||
\(352\) | 93.1983 | + | 78.2027i | 0.0141122 | + | 0.0118415i | ||||
\(353\) | −1571.37 | − | 2721.69i | −0.236928 | − | 0.410371i | 0.722904 | − | 0.690949i | \(-0.242807\pi\) |
−0.959831 | + | 0.280578i | \(0.909474\pi\) | |||||||
\(354\) | −3306.38 | + | 5726.82i | −0.496419 | + | 0.859822i | ||||
\(355\) | 1393.86 | − | 507.323i | 0.208390 | − | 0.0758476i | ||||
\(356\) | 980.220 | + | 5559.10i | 0.145931 | + | 0.827617i | ||||
\(357\) | 184.024 | − | 1043.65i | 0.0272818 | − | 0.154723i | ||||
\(358\) | −7471.96 | − | 2719.57i | −1.10309 | − | 0.401491i | ||||
\(359\) | 4268.27 | − | 3581.50i | 0.627494 | − | 0.526530i | −0.272655 | − | 0.962112i | \(-0.587902\pi\) |
0.900149 | + | 0.435582i | \(0.143457\pi\) | |||||||
\(360\) | −40.7187 | −0.00596129 | ||||||||
\(361\) | −3487.87 | − | 5905.98i | −0.508510 | − | 0.861056i | ||||
\(362\) | 1382.49 | 0.200724 | ||||||||
\(363\) | 5025.89 | − | 4217.22i | 0.726697 | − | 0.609771i | ||||
\(364\) | −175.184 | − | 63.7619i | −0.0252257 | − | 0.00918140i | ||||
\(365\) | −309.701 | + | 1756.40i | −0.0444123 | + | 0.251875i | ||||
\(366\) | 273.358 | + | 1550.29i | 0.0390400 | + | 0.221407i | ||||
\(367\) | 710.105 | − | 258.457i | 0.101000 | − | 0.0367612i | −0.291026 | − | 0.956715i | \(-0.593996\pi\) |
0.392026 | + | 0.919954i | \(0.371774\pi\) | |||||||
\(368\) | −280.408 | + | 485.682i | −0.0397209 | + | 0.0687986i | ||||
\(369\) | −70.2162 | − | 121.618i | −0.00990598 | − | 0.0171577i | ||||
\(370\) | 1445.34 | + | 1212.78i | 0.203080 | + | 0.170404i | ||||
\(371\) | −154.528 | − | 129.664i | −0.0216245 | − | 0.0181451i | ||||
\(372\) | −2289.69 | − | 3965.86i | −0.319126 | − | 0.552743i | ||||
\(373\) | −251.203 | + | 435.096i | −0.0348708 | + | 0.0603980i | −0.882934 | − | 0.469497i | \(-0.844435\pi\) |
0.848063 | + | 0.529895i | \(0.177769\pi\) | |||||||
\(374\) | 534.442 | − | 194.521i | 0.0738913 | − | 0.0268942i | ||||
\(375\) | 497.142 | + | 2819.43i | 0.0684594 | + | 0.388253i | ||||
\(376\) | −646.577 | + | 3666.92i | −0.0886826 | + | 0.502944i | ||||
\(377\) | −1204.10 | − | 438.257i | −0.164495 | − | 0.0598711i | ||||
\(378\) | 633.119 | − | 531.250i | 0.0861484 | − | 0.0722871i | ||||
\(379\) | 2045.80 | 0.277270 | 0.138635 | − | 0.990344i | \(-0.455728\pi\) | ||||
0.138635 | + | 0.990344i | \(0.455728\pi\) | |||||||
\(380\) | −385.904 | + | 676.077i | −0.0520960 | + | 0.0912685i | ||||
\(381\) | −11775.4 | −1.58340 | ||||||||
\(382\) | 3424.42 | − | 2873.43i | 0.458662 | − | 0.384863i | ||||
\(383\) | 5015.47 | + | 1825.48i | 0.669134 | + | 0.243545i | 0.654175 | − | 0.756343i | \(-0.273016\pi\) |
0.0149590 | + | 0.999888i | \(0.495238\pi\) | |||||||
\(384\) | −110.765 | + | 628.181i | −0.0147200 | + | 0.0834811i | ||||
\(385\) | 4.41085 | + | 25.0152i | 0.000583890 | + | 0.00331140i | ||||
\(386\) | −7519.33 | + | 2736.81i | −0.991513 | + | 0.360881i | ||||
\(387\) | −84.3331 | + | 146.069i | −0.0110772 | + | 0.0191864i | ||||
\(388\) | 2641.04 | + | 4574.42i | 0.345563 | + | 0.598533i | ||||
\(389\) | −75.8876 | − | 63.6773i | −0.00989114 | − | 0.00829965i | 0.637829 | − | 0.770178i | \(-0.279833\pi\) |
−0.647720 | + | 0.761879i | \(0.724277\pi\) | |||||||
\(390\) | −294.105 | − | 246.783i | −0.0381861 | − | 0.0320420i | ||||
\(391\) | 1310.85 | + | 2270.45i | 0.169546 | + | 0.293662i | ||||
\(392\) | 1339.67 | − | 2320.37i | 0.172611 | − | 0.298970i | ||||
\(393\) | 8315.94 | − | 3026.76i | 1.06739 | − | 0.388498i | ||||
\(394\) | −728.607 | − | 4132.14i | −0.0931642 | − | 0.528360i | ||||
\(395\) | −336.381 | + | 1907.71i | −0.0428486 | + | 0.243006i | ||||
\(396\) | 30.9533 | + | 11.2661i | 0.00392793 | + | 0.00142965i | ||||
\(397\) | −8907.18 | + | 7474.01i | −1.12604 | + | 0.944861i | −0.998894 | − | 0.0470226i | \(-0.985027\pi\) |
−0.127148 | + | 0.991884i | \(0.540582\pi\) | |||||||
\(398\) | −3783.11 | −0.476458 | ||||||||
\(399\) | −209.454 | − | 1154.58i | −0.0262803 | − | 0.144865i | ||||
\(400\) | −1911.65 | −0.238956 | ||||||||
\(401\) | −4387.55 | + | 3681.59i | −0.546393 | + | 0.458478i | −0.873717 | − | 0.486434i | \(-0.838297\pi\) |
0.327324 | + | 0.944912i | \(0.393853\pi\) | |||||||
\(402\) | 839.656 | + | 305.610i | 0.104175 | + | 0.0379165i | ||||
\(403\) | −653.946 | + | 3708.71i | −0.0808322 | + | 0.458422i | ||||
\(404\) | −201.693 | − | 1143.86i | −0.0248381 | − | 0.140864i | ||||
\(405\) | 1470.26 | − | 535.130i | 0.180389 | − | 0.0656564i | ||||
\(406\) | −222.244 | + | 384.938i | −0.0271670 | + | 0.0470546i | ||||
\(407\) | −763.154 | − | 1321.82i | −0.0929438 | − | 0.160983i | ||||
\(408\) | 2284.27 | + | 1916.73i | 0.277178 | + | 0.232580i | ||||
\(409\) | −4936.31 | − | 4142.06i | −0.596785 | − | 0.500762i | 0.293626 | − | 0.955920i | \(-0.405138\pi\) |
−0.890410 | + | 0.455159i | \(0.849583\pi\) | |||||||
\(410\) | 152.355 | + | 263.887i | 0.0183519 | + | 0.0317864i | ||||
\(411\) | −4723.44 | + | 8181.24i | −0.566886 | + | 0.981876i | ||||
\(412\) | −2278.48 | + | 829.298i | −0.272458 | + | 0.0991665i | ||||
\(413\) | −327.567 | − | 1857.73i | −0.0390279 | − | 0.221338i | ||||
\(414\) | −26.3668 | + | 149.534i | −0.00313010 | + | 0.0177517i | ||||
\(415\) | 293.124 | + | 106.689i | 0.0346721 | + | 0.0126196i | ||||
\(416\) | 401.839 | − | 337.183i | 0.0473601 | − | 0.0397398i | ||||
\(417\) | 939.470 | 0.110326 | ||||||||
\(418\) | 480.412 | − | 407.164i | 0.0562146 | − | 0.0476436i | ||||
\(419\) | 2695.30 | 0.314258 | 0.157129 | − | 0.987578i | \(-0.449776\pi\) | ||||
0.157129 | + | 0.987578i | \(0.449776\pi\) | |||||||
\(420\) | −102.020 | + | 85.6049i | −0.0118525 | + | 0.00994546i | ||||
\(421\) | −15398.6 | − | 5604.63i | −1.78262 | − | 0.648819i | −0.999642 | − | 0.0267649i | \(-0.991479\pi\) |
−0.782974 | − | 0.622054i | \(-0.786298\pi\) | |||||||
\(422\) | 717.822 | − | 4070.97i | 0.0828034 | − | 0.469601i | ||||
\(423\) | 175.060 | + | 992.815i | 0.0201222 | + | 0.114119i | ||||
\(424\) | 533.370 | − | 194.131i | 0.0610913 | − | 0.0222354i | ||||
\(425\) | −4468.27 | + | 7739.26i | −0.509983 | + | 0.883316i | ||||
\(426\) | −3145.64 | − | 5448.41i | −0.357763 | − | 0.619663i | ||||
\(427\) | −344.004 | − | 288.653i | −0.0389871 | − | 0.0327141i | ||||
\(428\) | 2232.97 | + | 1873.68i | 0.252184 | + | 0.211607i | ||||
\(429\) | 155.291 | + | 268.972i | 0.0174767 | + | 0.0302706i | ||||
\(430\) | 182.986 | − | 316.941i | 0.0205218 | − | 0.0355448i | ||||
\(431\) | 164.535 | − | 59.8858i | 0.0183883 | − | 0.00669281i | −0.332810 | − | 0.942994i | \(-0.607997\pi\) |
0.351198 | + | 0.936301i | \(0.385774\pi\) | |||||||
\(432\) | 403.822 | + | 2290.19i | 0.0449743 | + | 0.255062i | ||||
\(433\) | 2122.35 | − | 12036.4i | 0.235551 | − | 1.33588i | −0.605900 | − | 0.795541i | \(-0.707187\pi\) |
0.841451 | − | 0.540334i | \(-0.181702\pi\) | |||||||
\(434\) | 1227.55 | + | 446.793i | 0.135771 | + | 0.0494165i | ||||
\(435\) | −701.219 | + | 588.392i | −0.0772893 | + | 0.0648535i | ||||
\(436\) | −6000.16 | −0.659073 | ||||||||
\(437\) | 2232.91 | + | 1854.97i | 0.244427 | + | 0.203055i | ||||
\(438\) | 7564.47 | 0.825216 | ||||||||
\(439\) | 2482.96 | − | 2083.45i | 0.269943 | − | 0.226509i | −0.497760 | − | 0.867315i | \(-0.665844\pi\) |
0.767703 | + | 0.640805i | \(0.221399\pi\) | |||||||
\(440\) | −67.1625 | − | 24.4451i | −0.00727692 | − | 0.00264858i | ||||
\(441\) | 125.969 | − | 714.406i | 0.0136021 | − | 0.0771413i | ||||
\(442\) | −425.823 | − | 2414.96i | −0.0458243 | − | 0.259883i | ||||
\(443\) | 7846.02 | − | 2855.72i | 0.841481 | − | 0.306274i | 0.114919 | − | 0.993375i | \(-0.463339\pi\) |
0.726562 | + | 0.687101i | \(0.241117\pi\) | |||||||
\(444\) | 4001.21 | − | 6930.30i | 0.427678 | − | 0.740760i | ||||
\(445\) | −1658.10 | − | 2871.91i | −0.176632 | − | 0.305936i | ||||
\(446\) | 1768.60 | + | 1484.03i | 0.187771 | + | 0.157558i | ||||
\(447\) | 9461.82 | + | 7939.41i | 1.00118 | + | 0.840092i | ||||
\(448\) | −90.9811 | − | 157.584i | −0.00959476 | − | 0.0166186i | ||||
\(449\) | 5682.25 | − | 9841.94i | 0.597242 | − | 1.03445i | −0.395984 | − | 0.918257i | \(-0.629596\pi\) |
0.993226 | − | 0.116197i | \(-0.0370703\pi\) | |||||||
\(450\) | −486.363 | + | 177.022i | −0.0509497 | + | 0.0185442i | ||||
\(451\) | −42.8040 | − | 242.754i | −0.00446909 | − | 0.0253455i | ||||
\(452\) | −728.465 | + | 4131.33i | −0.0758056 | + | 0.429915i | ||||
\(453\) | 4148.89 | + | 1510.07i | 0.430313 | + | 0.156621i | ||||
\(454\) | 1270.58 | − | 1066.15i | 0.131347 | − | 0.110213i | ||||
\(455\) | 109.521 | 0.0112844 | ||||||||
\(456\) | 3108.15 | + | 1113.96i | 0.319194 | + | 0.114399i | ||||
\(457\) | 12215.7 | 1.25038 | 0.625192 | − | 0.780471i | \(-0.285021\pi\) | ||||
0.625192 | + | 0.780471i | \(0.285021\pi\) | |||||||
\(458\) | 7710.03 | − | 6469.48i | 0.786607 | − | 0.660041i | ||||
\(459\) | 10215.7 | + | 3718.20i | 1.03884 | + | 0.378106i | ||||
\(460\) | 57.2108 | − | 324.459i | 0.00579884 | − | 0.0328869i | ||||
\(461\) | 1454.74 | + | 8250.23i | 0.146972 | + | 0.833517i | 0.965763 | + | 0.259426i | \(0.0835334\pi\) |
−0.818791 | + | 0.574091i | \(0.805356\pi\) | |||||||
\(462\) | 101.238 | − | 36.8477i | 0.0101949 | − | 0.00371063i | ||||
\(463\) | −3115.90 | + | 5396.90i | −0.312761 | + | 0.541718i | −0.978959 | − | 0.204057i | \(-0.934587\pi\) |
0.666198 | + | 0.745775i | \(0.267920\pi\) | |||||||
\(464\) | −625.344 | − | 1083.13i | −0.0625666 | − | 0.108368i | ||||
\(465\) | 2060.86 | + | 1729.26i | 0.205527 | + | 0.172457i | ||||
\(466\) | 1913.40 | + | 1605.53i | 0.190207 | + | 0.159603i | ||||
\(467\) | −6218.51 | − | 10770.8i | −0.616185 | − | 1.06726i | −0.990175 | − | 0.139831i | \(-0.955344\pi\) |
0.373990 | − | 0.927433i | \(-0.377989\pi\) | |||||||
\(468\) | 71.0126 | − | 122.997i | 0.00701401 | − | 0.0121486i | ||||
\(469\) | −239.524 | + | 87.1796i | −0.0235825 | + | 0.00858333i | ||||
\(470\) | −379.845 | − | 2154.21i | −0.0372786 | − | 0.211418i | ||||
\(471\) | 1063.88 | − | 6033.57i | 0.104079 | − | 0.590259i | ||||
\(472\) | 4987.76 | + | 1815.40i | 0.486399 | + | 0.177035i | ||||
\(473\) | −226.793 | + | 190.302i | −0.0220464 | + | 0.0184991i | ||||
\(474\) | 8216.15 | 0.796161 | ||||||||
\(475\) | −1670.22 | + | 9753.08i | −0.161337 | + | 0.942110i | ||||
\(476\) | −850.633 | −0.0819090 | ||||||||
\(477\) | 117.724 | − | 98.7818i | 0.0113002 | − | 0.00948199i | ||||
\(478\) | −8886.42 | − | 3234.39i | −0.850326 | − | 0.309493i | ||||
\(479\) | −1098.88 | + | 6232.07i | −0.104821 | + | 0.594469i | 0.886471 | + | 0.462785i | \(0.153150\pi\) |
−0.991292 | + | 0.131684i | \(0.957961\pi\) | |||||||
\(480\) | −65.0714 | − | 369.038i | −0.00618769 | − | 0.0350921i | ||||
\(481\) | −6184.04 | + | 2250.81i | −0.586212 | + | 0.213364i | ||||
\(482\) | −404.199 | + | 700.094i | −0.0381966 | + | 0.0661585i | ||||
\(483\) | 248.311 | + | 430.087i | 0.0233924 | + | 0.0405168i | ||||
\(484\) | −4034.13 | − | 3385.04i | −0.378863 | − | 0.317903i | ||||
\(485\) | −2377.09 | − | 1994.62i | −0.222553 | − | 0.186744i | ||||
\(486\) | 606.253 | + | 1050.06i | 0.0565847 | + | 0.0980077i | ||||
\(487\) | −1799.28 | + | 3116.44i | −0.167419 | + | 0.289979i | −0.937512 | − | 0.347954i | \(-0.886877\pi\) |
0.770093 | + | 0.637932i | \(0.220210\pi\) | |||||||
\(488\) | 1187.36 | − | 432.165i | 0.110142 | − | 0.0400885i | ||||
\(489\) | −403.986 | − | 2291.12i | −0.0373597 | − | 0.211877i | ||||
\(490\) | −273.328 | + | 1550.12i | −0.0251993 | + | 0.142913i | ||||
\(491\) | 4014.46 | + | 1461.15i | 0.368982 | + | 0.134298i | 0.519855 | − | 0.854255i | \(-0.325986\pi\) |
−0.150873 | + | 0.988553i | \(0.548208\pi\) | |||||||
\(492\) | 990.028 | − | 830.732i | 0.0907193 | − | 0.0761225i | ||||
\(493\) | −5846.69 | −0.534121 | ||||||||
\(494\) | −1369.19 | − | 2344.75i | −0.124702 | − | 0.213553i | ||||
\(495\) | −19.3512 | −0.00175711 | ||||||||
\(496\) | −2815.77 | + | 2362.71i | −0.254903 | + | 0.213889i | ||||
\(497\) | 1686.45 | + | 613.816i | 0.152208 | + | 0.0553993i | ||||
\(498\) | 229.743 | − | 1302.94i | 0.0206728 | − | 0.117241i | ||||
\(499\) | −403.857 | − | 2290.39i | −0.0362307 | − | 0.205474i | 0.961319 | − | 0.275438i | \(-0.0888228\pi\) |
−0.997550 | + | 0.0699634i | \(0.977712\pi\) | |||||||
\(500\) | 2159.40 | − | 785.956i | 0.193142 | − | 0.0702980i | ||||
\(501\) | −8947.32 | + | 15497.2i | −0.797878 | + | 1.38197i | ||||
\(502\) | −6355.08 | − | 11007.3i | −0.565022 | − | 0.978647i | ||||
\(503\) | −17155.6 | − | 14395.2i | −1.52073 | − | 1.27605i | −0.838482 | − | 0.544930i | \(-0.816556\pi\) |
−0.682252 | − | 0.731117i | \(-0.738999\pi\) | |||||||
\(504\) | −37.7400 | − | 31.6676i | −0.00333546 | − | 0.00279879i | ||||
\(505\) | 341.175 | + | 590.932i | 0.0300635 | + | 0.0520715i | ||||
\(506\) | −133.262 | + | 230.816i | −0.0117079 | + | 0.0202787i | ||||
\(507\) | −9029.83 | + | 3286.59i | −0.790984 | + | 0.287895i | ||||
\(508\) | 1641.29 | + | 9308.19i | 0.143347 | + | 0.812961i | ||||
\(509\) | −1412.91 | + | 8013.02i | −0.123038 | + | 0.697782i | 0.859416 | + | 0.511277i | \(0.170827\pi\) |
−0.982454 | + | 0.186505i | \(0.940284\pi\) | |||||||
\(510\) | −1646.14 | − | 599.146i | −0.142926 | − | 0.0520209i | ||||
\(511\) | −1653.03 | + | 1387.06i | −0.143103 | + | 0.120078i | ||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 12037.2 | − | 59.3112i | 1.03597 | − | 0.00510458i | ||||
\(514\) | 8683.35 | 0.745148 | ||||||||
\(515\) | 1091.19 | − | 915.616i | 0.0933660 | − | 0.0783434i | ||||
\(516\) | −1458.61 | − | 530.892i | −0.124442 | − | 0.0452931i | ||||
\(517\) | −307.280 | + | 1742.67i | −0.0261396 | + | 0.148245i | ||||
\(518\) | 396.405 | + | 2248.13i | 0.0336236 | + | 0.190689i | ||||
\(519\) | 1351.44 | − | 491.886i | 0.114300 | − | 0.0416019i | ||||
\(520\) | −154.083 | + | 266.880i | −0.0129942 | + | 0.0225066i | ||||
\(521\) | −6690.70 | − | 11588.6i | −0.562620 | − | 0.974486i | −0.997267 | − | 0.0738851i | \(-0.976460\pi\) |
0.434647 | − | 0.900601i | \(-0.356873\pi\) | |||||||
\(522\) | −259.400 | − | 217.663i | −0.0217503 | − | 0.0182506i | ||||
\(523\) | −9579.15 | − | 8037.86i | −0.800893 | − | 0.672029i | 0.147523 | − | 0.989059i | \(-0.452870\pi\) |
−0.948416 | + | 0.317030i | \(0.897314\pi\) | |||||||
\(524\) | −3551.67 | − | 6151.67i | −0.296098 | − | 0.512857i | ||||
\(525\) | −846.413 | + | 1466.03i | −0.0703629 | + | 0.121872i | ||||
\(526\) | −11511.5 | + | 4189.83i | −0.954228 | + | 0.347310i | ||||
\(527\) | 2983.83 | + | 16922.2i | 0.246637 | + | 1.39875i | ||||
\(528\) | −52.6402 | + | 298.537i | −0.00433877 | + | 0.0246064i | ||||
\(529\) | 10278.8 | + | 3741.16i | 0.844806 | + | 0.307484i | ||||
\(530\) | −255.437 | + | 214.337i | −0.0209348 | + | 0.0175664i | ||||
\(531\) | 1437.10 | 0.117448 | ||||||||
\(532\) | −883.471 | + | 326.496i | −0.0719987 | + | 0.0266079i | ||||
\(533\) | −1062.82 | −0.0863709 | ||||||||
\(534\) | −10774.6 | + | 9040.95i | −0.873150 | + | 0.732660i | ||||
\(535\) | −1609.17 | − | 585.689i | −0.130038 | − | 0.0473300i | ||||
\(536\) | 124.544 | − | 706.323i | 0.0100363 | − | 0.0569189i | ||||
\(537\) | −3440.43 | − | 19511.6i | −0.276472 | − | 1.56795i | ||||
\(538\) | −11151.4 | + | 4058.79i | −0.893630 | + | 0.325255i | ||||
\(539\) | 636.664 | − | 1102.73i | 0.0508777 | − | 0.0881227i | ||||
\(540\) | −683.088 | − | 1183.14i | −0.0544360 | − | 0.0942859i | ||||
\(541\) | −3292.32 | − | 2762.58i | −0.261641 | − | 0.219543i | 0.502525 | − | 0.864563i | \(-0.332405\pi\) |
−0.764166 | + | 0.645020i | \(0.776849\pi\) | |||||||
\(542\) | 9943.87 | + | 8343.90i | 0.788055 | + | 0.661257i | ||||
\(543\) | 1722.37 | + | 2983.23i | 0.136121 | + | 0.235769i | ||||
\(544\) | 1196.74 | − | 2072.82i | 0.0943197 | − | 0.163367i | ||||
\(545\) | 3312.34 | − | 1205.59i | 0.260340 | − | 0.0947560i | ||||
\(546\) | −80.6627 | − | 457.461i | −0.00632243 | − | 0.0358563i | ||||
\(547\) | 2938.44 | − | 16664.7i | 0.229686 | − | 1.30262i | −0.623834 | − | 0.781557i | \(-0.714426\pi\) |
0.853520 | − | 0.521059i | \(-0.174463\pi\) | |||||||
\(548\) | 7125.43 | + | 2593.44i | 0.555444 | + | 0.202165i | ||||
\(549\) | 262.071 | − | 219.904i | 0.0203733 | − | 0.0170952i | ||||
\(550\) | −908.494 | −0.0704333 | ||||||||
\(551\) | −6072.40 | + | 2244.12i | −0.469498 | + | 0.173508i | ||||
\(552\) | −1397.38 | −0.107747 | ||||||||
\(553\) | −1795.44 | + | 1506.55i | −0.138065 | + | 0.115850i | ||||
\(554\) | 4462.42 | + | 1624.19i | 0.342221 | + | 0.124558i | ||||
\(555\) | −816.354 | + | 4629.77i | −0.0624366 | + | 0.354095i | ||||
\(556\) | −130.945 | − | 742.627i | −0.00998798 | − | 0.0566446i | ||||
\(557\) | 6235.19 | − | 2269.42i | 0.474315 | − | 0.172637i | −0.0937910 | − | 0.995592i | \(-0.529899\pi\) |
0.568106 | + | 0.822955i | \(0.307676\pi\) | |||||||
\(558\) | −497.600 | + | 861.869i | −0.0377511 | + | 0.0653867i | ||||
\(559\) | 638.248 | + | 1105.48i | 0.0482916 | + | 0.0836436i | ||||
\(560\) | 81.8883 | + | 68.7124i | 0.00617931 | + | 0.00518505i | ||||
\(561\) | 1085.58 | + | 910.911i | 0.0816993 | + | 0.0685538i | ||||
\(562\) | 4657.08 | + | 8066.29i | 0.349550 | + | 0.605438i | ||||
\(563\) | 1810.93 | − | 3136.62i | 0.135562 | − | 0.234800i | −0.790250 | − | 0.612785i | \(-0.790049\pi\) |
0.925812 | + | 0.377984i | \(0.123383\pi\) | |||||||
\(564\) | −8718.25 | + | 3173.18i | −0.650894 | + | 0.236906i | ||||
\(565\) | −427.953 | − | 2427.04i | −0.0318657 | − | 0.180719i | ||||
\(566\) | −1060.71 | + | 6015.57i | −0.0787718 | + | 0.446737i | ||||
\(567\) | 1778.89 | + | 647.461i | 0.131757 | + | 0.0479556i | ||||
\(568\) | −3868.39 | + | 3245.96i | −0.285764 | + | 0.239784i | ||||
\(569\) | 4576.86 | 0.337209 | 0.168604 | − | 0.985684i | \(-0.446074\pi\) | ||||
0.168604 | + | 0.985684i | \(0.446074\pi\) | |||||||
\(570\) | −1939.66 | + | 9.55732i | −0.142532 | + | 0.000702302i | ||||
\(571\) | 18109.2 | 1.32723 | 0.663614 | − | 0.748075i | \(-0.269022\pi\) | ||||
0.663614 | + | 0.748075i | \(0.269022\pi\) | |||||||
\(572\) | 190.970 | − | 160.243i | 0.0139596 | − | 0.0117135i | ||||
\(573\) | 10466.8 | + | 3809.59i | 0.763099 | + | 0.277745i | ||||
\(574\) | −64.0194 | + | 363.072i | −0.00465525 | + | 0.0264013i | ||||
\(575\) | −727.209 | − | 4124.21i | −0.0527421 | − | 0.299115i | ||||
\(576\) | 130.263 | − | 47.4120i | 0.00942300 | − | 0.00342969i | ||||
\(577\) | 748.863 | − | 1297.07i | 0.0540304 | − | 0.0935835i | −0.837745 | − | 0.546061i | \(-0.816127\pi\) |
0.891776 | + | 0.452478i | \(0.149460\pi\) | |||||||
\(578\) | −681.509 | − | 1180.41i | −0.0490433 | − | 0.0849456i | ||||
\(579\) | −15273.6 | − | 12816.1i | −1.09628 | − | 0.919891i | ||||
\(580\) | 562.847 | + | 472.284i | 0.0402947 | + | 0.0338113i | ||||
\(581\) | 188.708 | + | 326.852i | 0.0134749 | + | 0.0233393i | ||||
\(582\) | −6580.65 | + | 11398.0i | −0.468689 | + | 0.811792i | ||||
\(583\) | 253.479 | − | 92.2589i | 0.0180069 | − | 0.00655398i | ||||
\(584\) | −1054.35 | − | 5979.53i | −0.0747079 | − | 0.423689i | ||||
\(585\) | −14.4885 | + | 82.1681i | −0.00102397 | + | 0.00580724i | ||||
\(586\) | 18148.9 | + | 6605.66i | 1.27939 | + | 0.465661i | ||||
\(587\) | 16119.6 | − | 13526.0i | 1.13344 | − | 0.951068i | 0.134235 | − | 0.990950i | \(-0.457142\pi\) |
0.999204 | + | 0.0398814i | \(0.0126980\pi\) | |||||||
\(588\) | 6676.05 | 0.468224 | ||||||||
\(589\) | 9594.21 | + | 16430.2i | 0.671176 | + | 1.14939i | ||||
\(590\) | −3118.22 | −0.217585 | ||||||||
\(591\) | 8008.86 | − | 6720.23i | 0.557429 | − | 0.467738i | ||||
\(592\) | −6035.93 | − | 2196.90i | −0.419046 | − | 0.152520i | ||||
\(593\) | −3697.11 | + | 20967.4i | −0.256024 | + | 1.45198i | 0.537407 | + | 0.843323i | \(0.319404\pi\) |
−0.793431 | + | 0.608660i | \(0.791707\pi\) | |||||||
\(594\) | 191.913 | + | 1088.39i | 0.0132564 | + | 0.0751806i | ||||
\(595\) | 469.585 | − | 170.915i | 0.0323548 | − | 0.0117762i | ||||
\(596\) | 4957.10 | − | 8585.94i | 0.340689 | − | 0.590090i | ||||
\(597\) | −4713.17 | − | 8163.44i | −0.323111 | − | 0.559644i | ||||
\(598\) | 880.305 | + | 738.664i | 0.0601979 | + | 0.0505121i | ||||
\(599\) | −6005.51 | − | 5039.22i | −0.409647 | − | 0.343735i | 0.414561 | − | 0.910021i | \(-0.363935\pi\) |
−0.824208 | + | 0.566287i | \(0.808379\pi\) | |||||||
\(600\) | −2381.61 | − | 4125.08i | −0.162048 | − | 0.280676i | ||||
\(601\) | 8038.35 | − | 13922.8i | 0.545576 | − | 0.944965i | −0.452995 | − | 0.891513i | \(-0.649644\pi\) |
0.998570 | − | 0.0534517i | \(-0.0170223\pi\) | |||||||
\(602\) | 416.091 | − | 151.445i | 0.0281704 | − | 0.0102532i | ||||
\(603\) | −33.7201 | − | 191.236i | −0.00227726 | − | 0.0129150i | ||||
\(604\) | 615.394 | − | 3490.07i | 0.0414570 | − | 0.235114i | ||||
\(605\) | 2907.16 | + | 1058.12i | 0.195360 | + | 0.0711052i | ||||
\(606\) | 2217.01 | − | 1860.29i | 0.148614 | − | 0.124702i | ||||
\(607\) | −11810.5 | −0.789741 | −0.394870 | − | 0.918737i | \(-0.629210\pi\) | ||||
−0.394870 | + | 0.918737i | \(0.629210\pi\) | |||||||
\(608\) | 447.339 | − | 2612.18i | 0.0298388 | − | 0.174240i | ||||
\(609\) | −1107.53 | −0.0736933 | ||||||||
\(610\) | −568.642 | + | 477.147i | −0.0377437 | + | 0.0316707i | ||||
\(611\) | 7169.58 | + | 2609.52i | 0.474714 | + | 0.172782i | ||||
\(612\) | 112.530 | − | 638.189i | 0.00743260 | − | 0.0421524i | ||||
\(613\) | −3885.03 | − | 22033.1i | −0.255979 | − | 1.45173i | −0.793548 | − | 0.608508i | \(-0.791768\pi\) |
0.537569 | − | 0.843220i | \(-0.319343\pi\) | |||||||
\(614\) | 2388.06 | − | 869.182i | 0.156961 | − | 0.0571292i | ||||
\(615\) | −379.621 | + | 657.523i | −0.0248907 | + | 0.0431120i | ||||
\(616\) | −43.2379 | − | 74.8903i | −0.00282809 | − | 0.00489840i | ||||
\(617\) | 10051.0 | + | 8433.83i | 0.655818 | + | 0.550297i | 0.908830 | − | 0.417166i | \(-0.136977\pi\) |
−0.253012 | + | 0.967463i | \(0.581421\pi\) | |||||||
\(618\) | −4628.14 | − | 3883.47i | −0.301248 | − | 0.252777i | ||||
\(619\) | 13291.3 | + | 23021.2i | 0.863041 | + | 1.49483i | 0.868980 | + | 0.494848i | \(0.164776\pi\) |
−0.00593889 | + | 0.999982i | \(0.501890\pi\) | |||||||
\(620\) | 1079.69 | − | 1870.08i | 0.0699379 | − | 0.121136i | ||||
\(621\) | −4787.26 | + | 1742.42i | −0.309350 | + | 0.112594i | ||||
\(622\) | −1801.56 | − | 10217.1i | −0.116135 | − | 0.658633i | ||||
\(623\) | 696.730 | − | 3951.35i | 0.0448056 | − | 0.254105i | ||||
\(624\) | 1228.22 | + | 447.037i | 0.0787954 | + | 0.0286792i | ||||
\(625\) | 10406.5 | − | 8732.11i | 0.666018 | − | 0.558855i | ||||
\(626\) | 15542.7 | 0.992349 | ||||||||
\(627\) | 1477.12 | + | 529.401i | 0.0940839 | + | 0.0337197i | ||||
\(628\) | −4917.67 | −0.312478 | ||||||||
\(629\) | −23002.4 | + | 19301.3i | −1.45813 | + | 1.22352i | ||||
\(630\) | 27.1970 | + | 9.89889i | 0.00171993 | + | 0.000626002i | ||||
\(631\) | −1680.72 | + | 9531.82i | −0.106035 | + | 0.601356i | 0.884766 | + | 0.466035i | \(0.154318\pi\) |
−0.990802 | + | 0.135321i | \(0.956793\pi\) | |||||||
\(632\) | −1145.18 | − | 6494.66i | −0.0720775 | − | 0.408772i | ||||
\(633\) | 9678.90 | − | 3522.83i | 0.607743 | − | 0.221201i | ||||
\(634\) | 6527.45 | − | 11305.9i | 0.408893 | − | 0.708224i | ||||
\(635\) | −2776.33 | − | 4808.74i | −0.173504 | − | 0.300518i | ||||
\(636\) | 1083.40 | + | 909.083i | 0.0675467 | + | 0.0566784i | ||||
\(637\) | −4205.70 | − | 3529.00i | −0.261595 | − | 0.219504i | ||||
\(638\) | −297.189 | − | 514.747i | −0.0184418 | − | 0.0319421i | ||||
\(639\) | −683.617 | + | 1184.06i | −0.0423215 | + | 0.0733031i | ||||
\(640\) | −282.646 | + | 102.875i | −0.0174571 | + | 0.00635387i | ||||
\(641\) | −668.805 | − | 3792.98i | −0.0412110 | − | 0.233719i | 0.957244 | − | 0.289281i | \(-0.0934161\pi\) |
−0.998455 | + | 0.0555618i | \(0.982305\pi\) | |||||||
\(642\) | −1261.22 | + | 7152.76i | −0.0775335 | + | 0.439715i | ||||
\(643\) | −18519.6 | − | 6740.58i | −1.13583 | − | 0.413410i | −0.295427 | − | 0.955365i | \(-0.595462\pi\) |
−0.840407 | + | 0.541955i | \(0.817684\pi\) | |||||||
\(644\) | 305.363 | − | 256.230i | 0.0186847 | − | 0.0156784i | ||||
\(645\) | 911.888 | 0.0556675 | ||||||||
\(646\) | −9529.76 | − | 7916.73i | −0.580408 | − | 0.482167i | ||||
\(647\) | −15500.5 | −0.941867 | −0.470933 | − | 0.882169i | \(-0.656083\pi\) | ||||
−0.470933 | + | 0.882169i | \(0.656083\pi\) | |||||||
\(648\) | −4080.42 | + | 3423.88i | −0.247368 | + | 0.207566i | ||||
\(649\) | 2370.39 | + | 862.750i | 0.143368 | + | 0.0521817i | ||||
\(650\) | −680.200 | + | 3857.61i | −0.0410456 | + | 0.232781i | ||||
\(651\) | 565.221 | + | 3205.53i | 0.0340288 | + | 0.192987i | ||||
\(652\) | −1754.76 | + | 638.682i | −0.105402 | + | 0.0383631i | ||||
\(653\) | −14876.8 | + | 25767.4i | −0.891538 | + | 1.54419i | −0.0535073 | + | 0.998567i | \(0.517040\pi\) |
−0.838031 | + | 0.545622i | \(0.816293\pi\) | |||||||
\(654\) | −7475.26 | − | 12947.5i | −0.446951 | − | 0.774142i | ||||
\(655\) | 3196.71 | + | 2682.36i | 0.190696 | + | 0.160013i | ||||
\(656\) | −794.665 | − | 666.803i | −0.0472964 | − | 0.0396864i | ||||
\(657\) | −821.963 | − | 1423.68i | −0.0488095 | − | 0.0845405i | ||||
\(658\) | 1323.31 | − | 2292.04i | 0.0784011 | − | 0.135795i | ||||
\(659\) | −20984.8 | + | 7637.83i | −1.24044 | + | 0.451483i | −0.877161 | − | 0.480197i | \(-0.840565\pi\) |
−0.363280 | + | 0.931680i | \(0.618343\pi\) | |||||||
\(660\) | −30.9246 | − | 175.382i | −0.00182385 | − | 0.0103436i | ||||
\(661\) | −3187.21 | + | 18075.5i | −0.187546 | + | 1.06363i | 0.735094 | + | 0.677965i | \(0.237138\pi\) |
−0.922640 | + | 0.385662i | \(0.873973\pi\) | |||||||
\(662\) | 15943.7 | + | 5803.03i | 0.936057 | + | 0.340697i | ||||
\(663\) | 4680.66 | − | 3927.54i | 0.274180 | − | 0.230065i | ||||
\(664\) | −1061.96 | −0.0620665 | ||||||||
\(665\) | 422.112 | − | 357.753i | 0.0246147 | − | 0.0208617i | ||||
\(666\) | −1739.10 | −0.101184 | ||||||||
\(667\) | 2098.86 | − | 1761.16i | 0.121842 | − | 0.102237i | ||||
\(668\) | 13497.3 | + | 4912.60i | 0.781773 | + | 0.284542i | ||||
\(669\) | −998.940 | + | 5665.27i | −0.0577298 | + | 0.327402i | ||||
\(670\) | 73.1660 | + | 414.945i | 0.00421888 | + | 0.0239264i | ||||
\(671\) | 564.284 | − | 205.383i | 0.0324649 | − | 0.0118163i | ||||
\(672\) | 226.696 | − | 392.649i | 0.0130134 | − | 0.0225399i | ||||
\(673\) | 9160.13 | + | 15865.8i | 0.524661 | + | 0.908740i | 0.999588 | + | 0.0287147i | \(0.00914143\pi\) |
−0.474926 | + | 0.880026i | \(0.657525\pi\) | |||||||
\(674\) | −8473.73 | − | 7110.31i | −0.484267 | − | 0.406348i | ||||
\(675\) | −13302.8 | − | 11162.4i | −0.758554 | − | 0.636502i | ||||
\(676\) | 3856.56 | + | 6679.77i | 0.219422 | + | 0.380050i | ||||
\(677\) | −7740.26 | + | 13406.5i | −0.439413 | + | 0.761086i | −0.997644 | − | 0.0685998i | \(-0.978147\pi\) |
0.558231 | + | 0.829685i | \(0.311480\pi\) | |||||||
\(678\) | −9822.41 | + | 3575.06i | −0.556382 | + | 0.202507i | ||||
\(679\) | −651.954 | − | 3697.41i | −0.0368478 | − | 0.208974i | ||||
\(680\) | −244.168 | + | 1384.74i | −0.0137697 | + | 0.0780919i | ||||
\(681\) | 3883.55 | + | 1413.50i | 0.218529 | + | 0.0795379i | ||||
\(682\) | −1338.17 | + | 1122.86i | −0.0751337 | + | 0.0630447i | ||||
\(683\) | −27505.7 | −1.54096 | −0.770481 | − | 0.637463i | \(-0.779984\pi\) | ||||
−0.770481 | + | 0.637463i | \(0.779984\pi\) | |||||||
\(684\) | −128.080 | − | 706.018i | −0.00715975 | − | 0.0394668i | ||||
\(685\) | −4454.63 | −0.248471 | ||||||||
\(686\) | −2952.98 | + | 2477.85i | −0.164352 | + | 0.137908i | ||||
\(687\) | 23565.7 | + | 8577.23i | 1.30872 | + | 0.476334i | ||||
\(688\) | −216.352 | + | 1226.99i | −0.0119889 | + | 0.0679924i | ||||
\(689\) | −201.963 | − | 1145.39i | −0.0111671 | − | 0.0633320i | ||||
\(690\) | 771.413 | − | 280.771i | 0.0425611 | − | 0.0154910i | ||||
\(691\) | 17033.7 | − | 29503.2i | 0.937761 | − | 1.62425i | 0.168125 | − | 0.985766i | \(-0.446229\pi\) |
0.769635 | − | 0.638484i | \(-0.220438\pi\) | |||||||
\(692\) | −577.190 | − | 999.723i | −0.0317073 | − | 0.0549187i | ||||
\(693\) | −17.9356 | − | 15.0498i | −0.000983142 | − | 0.000824954i | ||||
\(694\) | 14262.5 | + | 11967.6i | 0.780110 | + | 0.654590i | ||||
\(695\) | 221.501 | + | 383.651i | 0.0120892 | + | 0.0209392i | ||||
\(696\) | 1558.16 | − | 2698.82i | 0.0848592 | − | 0.146980i | ||||
\(697\) | −4556.98 | + | 1658.60i | −0.247644 | + | 0.0901350i | ||||
\(698\) | −3006.84 | − | 17052.6i | −0.163052 | − | 0.924716i | ||||
\(699\) | −1080.72 | + | 6129.09i | −0.0584789 | + | 0.331650i | ||||
\(700\) | 1276.84 | + | 464.730i | 0.0689426 | + | 0.0250931i | ||||
\(701\) | 24756.7 | − | 20773.3i | 1.33387 | − | 1.11925i | 0.350719 | − | 0.936481i | \(-0.385937\pi\) |
0.983155 | − | 0.182773i | \(-0.0585072\pi\) | |||||||
\(702\) | 4765.17 | 0.256196 | ||||||||
\(703\) | −16482.0 | + | 28875.4i | −0.884256 | + | 1.54915i | ||||
\(704\) | 243.323 | 0.0130264 | ||||||||
\(705\) | 4175.26 | − | 3503.46i | 0.223049 | − | 0.187160i | ||||
\(706\) | −5906.41 | − | 2149.76i | −0.314859 | − | 0.114599i | ||||
\(707\) | −143.361 | + | 813.041i | −0.00762609 | + | 0.0432497i | ||||
\(708\) | 2296.59 | + | 13024.6i | 0.121908 | + | 0.691376i | ||||
\(709\) | 11701.6 | − | 4259.03i | 0.619834 | − | 0.225601i | −0.0129667 | − | 0.999916i | \(-0.504128\pi\) |
0.632801 | + | 0.774315i | \(0.281905\pi\) | |||||||
\(710\) | 1483.31 | − | 2569.17i | 0.0784052 | − | 0.135802i | ||||
\(711\) | −892.775 | − | 1546.33i | −0.0470909 | − | 0.0815639i | ||||
\(712\) | 8648.43 | + | 7256.89i | 0.455216 | + | 0.381971i | ||||
\(713\) | −6168.48 | − | 5175.97i | −0.323999 | − | 0.271868i | ||||
\(714\) | −1059.75 | − | 1835.55i | −0.0555467 | − | 0.0962097i | ||||
\(715\) | −73.2266 | + | 126.832i | −0.00383010 | + | 0.00663393i | ||||
\(716\) | −14943.9 | + | 5439.14i | −0.780001 | + | 0.283897i | ||||
\(717\) | −4091.71 | − | 23205.2i | −0.213121 | − | 1.20867i | ||||
\(718\) | 1935.07 | − | 10974.4i | 0.100580 | − | 0.570417i | ||||
\(719\) | −17348.1 | − | 6314.18i | −0.899825 | − | 0.327509i | −0.149642 | − | 0.988740i | \(-0.547812\pi\) |
−0.750183 | + | 0.661231i | \(0.770034\pi\) | |||||||
\(720\) | −62.3846 | + | 52.3469i | −0.00322908 | + | 0.00270952i | ||||
\(721\) | 1723.46 | 0.0890220 | ||||||||
\(722\) | −12936.3 | − | 4564.57i | −0.666814 | − | 0.235285i | ||||
\(723\) | −2014.28 | −0.103612 | ||||||||
\(724\) | 2118.10 | − | 1777.30i | 0.108727 | − | 0.0912330i | ||||
\(725\) | 8776.13 | + | 3194.25i | 0.449569 | + | 0.163630i | ||||
\(726\) | 2278.55 | − | 12922.3i | 0.116481 | − | 0.660596i | ||||
\(727\) | −4237.82 | − | 24033.8i | −0.216192 | − | 1.22609i | −0.878825 | − | 0.477144i | \(-0.841672\pi\) |
0.662633 | − | 0.748944i | \(-0.269439\pi\) | |||||||
\(728\) | −350.369 | + | 127.524i | −0.0178373 | + | 0.00649223i | ||||
\(729\) | −10499.3 | + | 18185.2i | −0.533417 | + | 0.923906i | ||||
\(730\) | 1783.50 | + | 3089.11i | 0.0904248 | + | 0.156620i | ||||
\(731\) | 4461.76 | + | 3743.86i | 0.225751 | + | 0.189428i | ||||
\(732\) | 2411.82 | + | 2023.76i | 0.121781 | + | 0.102186i | ||||
\(733\) | 8876.56 | + | 15374.7i | 0.447290 | + | 0.774728i | 0.998209 | − | 0.0598303i | \(-0.0190560\pi\) |
−0.550919 | + | 0.834559i | \(0.685723\pi\) | |||||||
\(734\) | 755.678 | − | 1308.87i | 0.0380008 | − | 0.0658193i | ||||
\(735\) | −3685.47 | + | 1341.40i | −0.184953 | + | 0.0673174i | ||||
\(736\) | 194.770 | + | 1104.59i | 0.00975449 | + | 0.0553205i | ||||
\(737\) | 59.1884 | − | 335.674i | 0.00295825 | − | 0.0167771i | ||||
\(738\) | −263.926 | − | 96.0614i | −0.0131643 | − | 0.00479142i | ||||
\(739\) | 624.792 | − | 524.263i | 0.0311006 | − | 0.0260965i | −0.627105 | − | 0.778935i | \(-0.715760\pi\) |
0.658205 | + | 0.752838i | \(0.271316\pi\) | |||||||
\(740\) | 3773.50 | 0.187455 | ||||||||
\(741\) | 3353.86 | − | 5875.72i | 0.166271 | − | 0.291296i | ||||
\(742\) | −403.444 | −0.0199608 | ||||||||
\(743\) | 2007.61 | − | 1684.58i | 0.0991278 | − | 0.0831781i | −0.591877 | − | 0.806028i | \(-0.701613\pi\) |
0.691005 | + | 0.722850i | \(0.257168\pi\) | |||||||
\(744\) | −8606.42 | − | 3132.48i | −0.424095 | − | 0.154358i | ||||
\(745\) | −1011.38 | + | 5735.82i | −0.0497370 | + | 0.282073i | ||||
\(746\) | 174.484 | + | 989.547i | 0.00856341 | + | 0.0485655i | ||||
\(747\) | −270.186 | + | 98.3395i | −0.0132337 | + | 0.00481667i | ||||
\(748\) | 568.742 | − | 985.089i | 0.0278011 | − | 0.0481530i | ||||
\(749\) | −1035.95 | − | 1794.32i | −0.0505379 | − | 0.0875341i | ||||
\(750\) | 4386.26 | + | 3680.51i | 0.213551 | + | 0.179191i | ||||
\(751\) | 9806.84 | + | 8228.91i | 0.476507 | + | 0.399837i | 0.849161 | − | 0.528133i | \(-0.177108\pi\) |
−0.372655 | + | 0.927970i | \(0.621552\pi\) | |||||||
\(752\) | 3723.49 | + | 6449.27i | 0.180561 | + | 0.312740i | ||||
\(753\) | 15834.9 | − | 27426.8i | 0.766341 | − | 1.32734i | ||||
\(754\) | −2408.20 | + | 876.515i | −0.116315 | + | 0.0423353i | ||||
\(755\) | 361.526 | + | 2050.32i | 0.0174269 | + | 0.0988327i | ||||
\(756\) | 287.033 | − | 1627.84i | 0.0138086 | − | 0.0783123i | ||||
\(757\) | 3759.02 | + | 1368.17i | 0.180481 | + | 0.0656896i | 0.430680 | − | 0.902505i | \(-0.358274\pi\) |
−0.250199 | + | 0.968194i | \(0.580496\pi\) | |||||||
\(758\) | 3134.34 | − | 2630.02i | 0.150191 | − | 0.126025i | ||||
\(759\) | −664.092 | −0.0317589 | ||||||||
\(760\) | 277.908 | + | 1531.92i | 0.0132642 | + | 0.0731165i | ||||
\(761\) | −12934.0 | −0.616104 | −0.308052 | − | 0.951369i | \(-0.599677\pi\) | ||||
−0.308052 | + | 0.951369i | \(0.599677\pi\) | |||||||
\(762\) | −18041.0 | + | 15138.2i | −0.857687 | + | 0.719685i | ||||
\(763\) | 4007.65 | + | 1458.67i | 0.190153 | + | 0.0692100i | ||||
\(764\) | 1552.51 | − | 8804.71i | 0.0735180 | − | 0.416941i | ||||
\(765\) | 66.1081 | + | 374.918i | 0.00312437 | + | 0.0177192i | ||||
\(766\) | 10030.9 | − | 3650.96i | 0.473149 | − | 0.172212i | ||||
\(767\) | 5438.11 | − | 9419.08i | 0.256009 | − | 0.443420i | ||||
\(768\) | 637.872 | + | 1104.83i | 0.0299703 | + | 0.0519101i | ||||
\(769\) | 22976.5 | + | 19279.5i | 1.07744 | + | 0.904081i | 0.995706 | − | 0.0925730i | \(-0.0295092\pi\) |
0.0817359 | + | 0.996654i | \(0.473954\pi\) | |||||||
\(770\) | 38.9167 | + | 32.6550i | 0.00182138 | + | 0.00152832i | ||||
\(771\) | 10818.1 | + | 18737.5i | 0.505323 | + | 0.875246i | ||||
\(772\) | −8001.91 | + | 13859.7i | −0.373050 | + | 0.646142i | ||||
\(773\) | 24211.1 | − | 8812.13i | 1.12654 | − | 0.410026i | 0.289504 | − | 0.957177i | \(-0.406510\pi\) |
0.837034 | + | 0.547151i | \(0.184288\pi\) | |||||||
\(774\) | 58.5772 | + | 332.208i | 0.00272030 | + | 0.0154276i | ||||
\(775\) | 4766.30 | − | 27031.1i | 0.220917 | − | 1.25288i | ||||
\(776\) | 9927.07 | + | 3613.16i | 0.459228 | + | 0.167145i | ||||
\(777\) | −4357.29 | + | 3656.20i | −0.201180 | + | 0.168810i | ||||
\(778\) | −198.128 | −0.00913014 | ||||||||
\(779\) | −4096.28 | + | 3471.73i | −0.188401 | + | 0.159676i | ||||
\(780\) | −767.854 | −0.0352482 | ||||||||
\(781\) | −1838.42 | + | 1542.61i | −0.0842301 | + | 0.0706774i | ||||
\(782\) | 4927.17 | + | 1793.34i | 0.225314 | + | 0.0820075i | ||||
\(783\) | 1972.88 | − | 11188.7i | 0.0900445 | − | 0.510668i | ||||
\(784\) | −930.522 | − | 5277.25i | −0.0423889 | − | 0.240400i | ||||
\(785\) | 2714.76 | − | 988.093i | 0.123432 | − | 0.0449255i | ||||
\(786\) | 8849.64 | − | 15328.0i | 0.401598 | − | 0.695589i | ||||
\(787\) | 8066.62 | + | 13971.8i | 0.365367 | + | 0.632834i | 0.988835 | − | 0.149015i | \(-0.0476102\pi\) |
−0.623468 | + | 0.781849i | \(0.714277\pi\) | |||||||
\(788\) | −6428.46 | − | 5394.12i | −0.290615 | − | 0.243855i | ||||
\(789\) | −23382.6 | − | 19620.3i | −1.05506 | − | 0.885299i | ||||
\(790\) | 1937.14 | + | 3355.23i | 0.0872411 | + | 0.151106i | ||||
\(791\) | 1490.90 | − | 2582.32i | 0.0670170 | − | 0.116077i | ||||
\(792\) | 61.9066 | − | 22.5322i | 0.00277747 | − | 0.00101092i | ||||
\(793\) | −449.600 | − | 2549.81i | −0.0201334 | − | 0.114182i | ||||
\(794\) | −4038.19 | + | 22901.7i | −0.180491 | + | 1.02362i | ||||
\(795\) | −780.744 | − | 284.167i | −0.0348303 | − | 0.0126772i | ||||
\(796\) | −5796.06 | + | 4863.48i | −0.258086 | + | 0.216559i | ||||
\(797\) | 19210.4 | 0.853786 | 0.426893 | − | 0.904302i | \(-0.359608\pi\) | ||||
0.426893 | + | 0.904302i | \(0.359608\pi\) | |||||||
\(798\) | −1805.20 | − | 1499.65i | −0.0800794 | − | 0.0665250i | ||||
\(799\) | 34813.0 | 1.54142 | ||||||||
\(800\) | −2928.82 | + | 2457.57i | −0.129437 | + | 0.108610i | ||||
\(801\) | 2872.34 | + | 1045.45i | 0.126703 | + | 0.0461161i | ||||
\(802\) | −1989.15 | + | 11281.0i | −0.0875803 | + | 0.496692i | ||||
\(803\) | −501.071 | − | 2841.72i | −0.0220205 | − | 0.124884i | ||||
\(804\) | 1679.31 | − | 611.220i | 0.0736626 | − | 0.0268110i | ||||
\(805\) | −117.090 | + | 202.805i | −0.00512655 | + | 0.00887944i | ||||
\(806\) | 3765.93 | + | 6522.77i | 0.164577 | + | 0.285056i | ||||
\(807\) | −22651.3 | − | 19006.7i | −0.988058 | − | 0.829079i | ||||
\(808\) | −1779.52 | − | 1493.20i | −0.0774795 | − | 0.0650130i | ||||
\(809\) | −17173.0 | − | 29744.5i | −0.746316 | − | 1.29266i | −0.949577 | − | 0.313532i | \(-0.898488\pi\) |
0.203262 | − | 0.979124i | \(-0.434846\pi\) | |||||||
\(810\) | 1564.62 | − | 2710.00i | 0.0678704 | − | 0.117555i | ||||
\(811\) | 2435.30 | − | 886.378i | 0.105444 | − | 0.0383785i | −0.288759 | − | 0.957402i | \(-0.593243\pi\) |
0.394203 | + | 0.919023i | \(0.371021\pi\) | |||||||
\(812\) | 154.369 | + | 875.471i | 0.00667155 | + | 0.0378362i | ||||
\(813\) | −5616.49 | + | 31852.7i | −0.242287 | + | 1.37408i | ||||
\(814\) | −2868.52 | − | 1044.06i | −0.123515 | − | 0.0449560i | ||||
\(815\) | 840.376 | − | 705.159i | 0.0361191 | − | 0.0303076i | ||||
\(816\) | 5963.82 | 0.255852 | ||||||||
\(817\) | 6071.00 | + | 2175.85i | 0.259972 | + | 0.0931742i | ||||
\(818\) | −12887.8 | −0.550870 | ||||||||
\(819\) | −77.3322 | + | 64.8894i | −0.00329940 | + | 0.00276852i | ||||
\(820\) | 572.668 | + | 208.434i | 0.0243883 | + | 0.00887662i | ||||
\(821\) | 6455.89 | − | 36613.2i | 0.274436 | − | 1.55640i | −0.466311 | − | 0.884621i | \(-0.654417\pi\) |
0.740747 | − | 0.671784i | \(-0.234472\pi\) | |||||||
\(822\) | 3280.87 | + | 18606.7i | 0.139213 | + | 0.789519i | ||||
\(823\) | −4882.89 | + | 1777.23i | −0.206813 | + | 0.0752736i | −0.443349 | − | 0.896349i | \(-0.646210\pi\) |
0.236537 | + | 0.971623i | \(0.423988\pi\) | |||||||
\(824\) | −2424.71 | + | 4199.71i | −0.102510 | + | 0.177553i | ||||
\(825\) | −1131.84 | − | 1960.41i | −0.0477644 | − | 0.0827304i | ||||
\(826\) | −2890.11 | − | 2425.09i | −0.121743 | − | 0.102155i | ||||
\(827\) | 23528.0 | + | 19742.3i | 0.989297 | + | 0.830119i | 0.985466 | − | 0.169874i | \(-0.0543361\pi\) |
0.00383107 | + | 0.999993i | \(0.498781\pi\) | |||||||
\(828\) | 151.841 | + | 262.996i | 0.00637298 | + | 0.0110383i | ||||
\(829\) | −848.908 | + | 1470.35i | −0.0355655 | + | 0.0616012i | −0.883260 | − | 0.468883i | \(-0.844657\pi\) |
0.847695 | + | 0.530484i | \(0.177990\pi\) | |||||||
\(830\) | 586.249 | − | 213.377i | 0.0245169 | − | 0.00892341i | ||||
\(831\) | 2054.70 | + | 11652.8i | 0.0857723 | + | 0.486439i | ||||
\(832\) | 182.179 | − | 1033.19i | 0.00759125 | − | 0.0430521i | ||||
\(833\) | −23539.8 | − | 8567.80i | −0.979120 | − | 0.356370i | ||||
\(834\) | 1439.35 | − | 1207.76i | 0.0597610 | − | 0.0501454i | ||||
\(835\) | −8438.13 | −0.349717 | ||||||||
\(836\) | 212.594 | − | 1241.42i | 0.00879511 | − | 0.0513580i | ||||
\(837\) | −33390.6 | −1.37891 | ||||||||
\(838\) | 4129.44 | − | 3465.02i | 0.170226 | − | 0.142836i | ||||
\(839\) | −2880.07 | − | 1048.26i | −0.118511 | − | 0.0431346i | 0.282084 | − | 0.959390i | \(-0.408974\pi\) |
−0.400595 | + | 0.916255i | \(0.631197\pi\) | |||||||
\(840\) | −46.2521 | + | 262.309i | −0.00189982 | + | 0.0107744i | ||||
\(841\) | −3174.07 | − | 18001.1i | −0.130144 | − | 0.738081i | ||||
\(842\) | −30797.2 | + | 11209.3i | −1.26050 | + | 0.458784i | ||||
\(843\) | −11604.0 | + | 20098.7i | −0.474095 | + | 0.821157i | ||||
\(844\) | −4133.77 | − | 7159.90i | −0.168590 | − | 0.292007i | ||||
\(845\) | −3471.13 | − | 2912.63i | −0.141314 | − | 0.118577i | ||||
\(846\) | 1544.55 | + | 1296.03i | 0.0627690 | + | 0.0526695i | ||||
\(847\) | 1871.57 | + | 3241.66i | 0.0759245 | + | 0.131505i | ||||
\(848\) | 567.600 | − | 983.112i | 0.0229852 | − | 0.0398116i | ||||
\(849\) | −14302.2 | + | 5205.59i | −0.578153 | + | 0.210430i | ||||
\(850\) | 3103.63 | + | 17601.5i | 0.125239 | + | 0.710268i | ||||
\(851\) | 2443.48 | − | 13857.7i | 0.0984272 | − | 0.558208i | ||||
\(852\) | −11823.7 | − | 4303.49i | −0.475440 | − | 0.173046i | ||||
\(853\) | −21666.7 | + | 18180.6i | −0.869701 | + | 0.729766i | −0.964035 | − | 0.265775i | \(-0.914372\pi\) |
0.0943339 | + | 0.995541i | \(0.469928\pi\) | |||||||
\(854\) | −898.130 | −0.0359876 | ||||||||
\(855\) | 212.564 | + | 364.017i | 0.00850238 | + | 0.0145604i | ||||
\(856\) | 5829.87 | 0.232781 | ||||||||
\(857\) | −22313.8 | + | 18723.5i | −0.889412 | + | 0.746305i | −0.968092 | − | 0.250595i | \(-0.919374\pi\) |
0.0786805 | + | 0.996900i | \(0.474929\pi\) | |||||||
\(858\) | 583.702 | + | 212.450i | 0.0232253 | + | 0.00845330i | ||||
\(859\) | −3170.89 | + | 17983.0i | −0.125948 | + | 0.714286i | 0.854793 | + | 0.518970i | \(0.173684\pi\) |
−0.980740 | + | 0.195316i | \(0.937427\pi\) | |||||||
\(860\) | −127.101 | − | 720.824i | −0.00503965 | − | 0.0285813i | ||||
\(861\) | −863.218 | + | 314.186i | −0.0341677 | + | 0.0124360i | ||||
\(862\) | 175.095 | − | 303.273i | 0.00691849 | − | 0.0119832i | ||||
\(863\) | 9315.94 | + | 16135.7i | 0.367460 | + | 0.636460i | 0.989168 | − | 0.146790i | \(-0.0468941\pi\) |
−0.621708 | + | 0.783250i | \(0.713561\pi\) | |||||||
\(864\) | 3562.90 | + | 2989.63i | 0.140292 | + | 0.117719i | ||||
\(865\) | 519.505 | + | 435.916i | 0.0204205 | + | 0.0171348i | ||||
\(866\) | −12222.1 | − | 21169.3i | −0.479589 | − | 0.830673i | ||||
\(867\) | 1698.11 | − | 2941.21i | 0.0665176 | − | 0.115212i | ||||
\(868\) | 2455.11 | − | 893.586i | 0.0960043 | − | 0.0349427i | ||||
\(869\) | −544.238 | − | 3086.53i | −0.0212451 | − | 0.120487i | ||||
\(870\) | −317.907 | + | 1802.94i | −0.0123886 | + | 0.0702590i | ||||
\(871\) | −1381.01 | − | 502.646i | −0.0537241 | − | 0.0195540i | ||||
\(872\) | −9192.78 | + | 7713.66i | −0.357003 | + | 0.299561i | ||||
\(873\) | 2860.24 | 0.110887 | ||||||||
\(874\) | 5805.72 | − | 28.6067i | 0.224693 | − | 0.00110713i | ||||
\(875\) | −1633.38 | −0.0631067 | ||||||||
\(876\) | 11589.4 | − | 9724.70i | 0.446999 | − | 0.375077i | ||||
\(877\) | −46901.7 | − | 17070.8i | −1.80588 | − | 0.657288i | −0.997657 | − | 0.0684157i | \(-0.978206\pi\) |
−0.808226 | − | 0.588872i | \(-0.799572\pi\) | |||||||
\(878\) | 1125.68 | − | 6384.06i | 0.0432687 | − | 0.245389i | ||||
\(879\) | 8356.57 | + | 47392.5i | 0.320660 | + | 1.81855i | ||||
\(880\) | −134.325 | + | 48.8903i | −0.00514556 | + | 0.00187283i | ||||
\(881\) | −14388.9 | + | 24922.3i | −0.550254 | + | 0.953068i | 0.448002 | + | 0.894033i | \(0.352136\pi\) |
−0.998256 | + | 0.0590356i | \(0.981197\pi\) | |||||||
\(882\) | −725.426 | − | 1256.48i | −0.0276943 | − | 0.0479679i | ||||
\(883\) | −16240.2 | − | 13627.1i | −0.618942 | − | 0.519354i | 0.278529 | − | 0.960428i | \(-0.410153\pi\) |
−0.897471 | + | 0.441074i | \(0.854598\pi\) | |||||||
\(884\) | −3757.02 | − | 3152.51i | −0.142944 | − | 0.119944i | ||||
\(885\) | −3884.81 | − | 6728.69i | −0.147555 | − | 0.255573i | ||||
\(886\) | 8349.56 | − | 14461.9i | 0.316602 | − | 0.548370i | ||||
\(887\) | 15106.1 | − | 5498.19i | 0.571832 | − | 0.208130i | −0.0398881 | − | 0.999204i | \(-0.512700\pi\) |
0.611720 | + | 0.791074i | \(0.290478\pi\) | |||||||
\(888\) | −2779.21 | − | 15761.7i | −0.105027 | − | 0.595640i | ||||
\(889\) | 1166.61 | − | 6616.17i | 0.0440122 | − | 0.249605i | ||||
\(890\) | −6232.41 | − | 2268.41i | −0.234731 | − | 0.0854351i | ||||
\(891\) | −1939.18 | + | 1627.17i | −0.0729126 | + | 0.0611809i | ||||
\(892\) | 4617.49 | 0.173324 | ||||||||
\(893\) | 36156.9 | − | 13362.2i | 1.35492 | − | 0.500725i | ||||
\(894\) | 24703.1 | 0.924154 | ||||||||
\(895\) | 7156.81 | − | 6005.28i | 0.267291 | − | 0.224284i | ||||
\(896\) | −341.977 | − | 124.469i | −0.0127507 | − | 0.00464088i | ||||
\(897\) | −497.214 | + | 2819.84i | −0.0185078 | + | 0.104963i | ||||
\(898\) | −3946.85 | − | 22383.7i | −0.146668 | − | 0.831796i | ||||
\(899\) | 16874.8 | − | 6141.92i | 0.626036 | − | 0.227858i | ||||
\(900\) | −517.577 | + | 896.470i | −0.0191695 | + | 0.0332026i | ||||
\(901\) | −2653.40 | − | 4595.83i | −0.0981107 | − | 0.169933i | ||||
\(902\) | −377.657 | − | 316.892i | −0.0139408 | − | 0.0116977i | ||||
\(903\) | 845.181 | + | 709.191i | 0.0311471 | + | 0.0261355i | ||||
\(904\) | 4195.06 | + | 7266.07i | 0.154343 | + | 0.267329i | ||||
\(905\) | −812.174 | + | 1406.73i | −0.0298316 | + | 0.0516698i | ||||
\(906\) | 8297.78 | − | 3020.15i | 0.304277 | − | 0.110748i | ||||
\(907\) | 6278.41 | + | 35606.7i | 0.229847 | + | 1.30353i | 0.853199 | + | 0.521586i | \(0.174659\pi\) |
−0.623352 | + | 0.781942i | \(0.714229\pi\) | |||||||
\(908\) | 576.036 | − | 3266.86i | 0.0210533 | − | 0.119399i | ||||
\(909\) | −591.021 | − | 215.114i | −0.0215654 | − | 0.00784915i | ||||
\(910\) | 167.795 | − | 140.797i | 0.00611249 | − | 0.00512898i | ||||
\(911\) | 38879.0 | 1.41396 | 0.706981 | − | 0.707232i | \(-0.250057\pi\) | ||||
0.706981 | + | 0.707232i | \(0.250057\pi\) | |||||||
\(912\) | 6194.05 | − | 2289.08i | 0.224896 | − | 0.0831128i | ||||
\(913\) | −504.689 | −0.0182944 | ||||||||
\(914\) | 18715.5 | − | 15704.2i | 0.677302 | − | 0.568323i | ||||
\(915\) | −1738.06 | − | 632.601i | −0.0627961 | − | 0.0228559i | ||||
\(916\) | 3495.44 | − | 19823.6i | 0.126084 | − | 0.715056i | ||||
\(917\) | 876.745 | + | 4972.27i | 0.0315733 | + | 0.179061i | ||||
\(918\) | 20431.3 | − | 7436.40i | 0.734570 | − | 0.267361i | ||||
\(919\) | 20660.1 | − | 35784.4i | 0.741584 | − | 1.28446i | −0.210191 | − | 0.977660i | \(-0.567408\pi\) |
0.951774 | − | 0.306800i | \(-0.0992582\pi\) | |||||||
\(920\) | −329.464 | − | 570.648i | −0.0118066 | − | 0.0204497i | ||||
\(921\) | 4850.72 | + | 4070.24i | 0.173547 | + | 0.145623i | ||||
\(922\) | 12835.1 | + | 10769.9i | 0.458461 | + | 0.384694i | ||||
\(923\) | 5173.73 | + | 8961.17i | 0.184502 | + | 0.319567i | ||||
\(924\) | 107.735 | − | 186.603i | 0.00383575 | − | 0.00664372i | ||||
\(925\) | 45072.5 | − | 16405.1i | 1.60214 | − | 0.583130i | ||||
\(926\) | 2164.28 | + | 12274.3i | 0.0768064 | + | 0.435591i | ||||
\(927\) | −227.995 | + | 1293.03i | −0.00807805 | + | 0.0458129i | ||||
\(928\) | −2350.53 | − | 855.522i | −0.0831463 | − | 0.0302628i | ||||
\(929\) | −19335.8 | + | 16224.6i | −0.682870 | + | 0.572996i | −0.916843 | − | 0.399247i | \(-0.869272\pi\) |
0.233973 | + | 0.972243i | \(0.424827\pi\) | |||||||
\(930\) | 5380.51 | 0.189714 | ||||||||
\(931\) | −27737.1 | + | 136.670i | −0.976421 | + | 0.00481114i | ||||
\(932\) | 4995.53 | 0.175573 | ||||||||
\(933\) | 19802.7 | − | 16616.5i | 0.694868 | − | 0.583064i | ||||
\(934\) | −23374.0 | − | 8507.43i | −0.818864 | − | 0.298042i | ||||
\(935\) | −116.038 | + | 658.087i | −0.00405868 | + | 0.0230179i | ||||
\(936\) | −49.3248 | − | 279.735i | −0.00172247 | − | 0.00976861i | ||||
\(937\) | −42341.8 | + | 15411.2i | −1.47625 | + | 0.537312i | −0.949790 | − | 0.312888i | \(-0.898704\pi\) |
−0.526461 | + | 0.850199i | \(0.676481\pi\) | |||||||
\(938\) | −254.896 | + | 441.493i | −0.00887276 | + | 0.0153681i | ||||
\(939\) | 19363.7 | + | 33539.0i | 0.672963 | + | 1.16561i | ||||
\(940\) | −3351.36 | − | 2812.12i | −0.116286 | − | 0.0975759i | ||||
\(941\) | 14030.0 | + | 11772.5i | 0.486040 | + | 0.407836i | 0.852605 | − | 0.522557i | \(-0.175022\pi\) |
−0.366565 | + | 0.930393i | \(0.619466\pi\) | |||||||
\(942\) | −6126.65 | − | 10611.7i | −0.211908 | − | 0.367035i | ||||
\(943\) | 1136.27 | − | 1968.08i | 0.0392386 | − | 0.0679633i | ||||
\(944\) | 9975.51 | − | 3630.79i | 0.343936 | − | 0.125182i | ||||
\(945\) | 168.624 | + | 956.311i | 0.00580457 | + | 0.0329194i | ||||
\(946\) | −102.820 | + | 583.118i | −0.00353377 | + | 0.0200410i | ||||
\(947\) | −1092.33 | − | 397.577i | −0.0374827 | − | 0.0136426i | 0.323211 | − | 0.946327i | \(-0.395238\pi\) |
−0.360693 | + | 0.932684i | \(0.617460\pi\) | |||||||
\(948\) | 12587.9 | − | 10562.5i | 0.431261 | − | 0.361871i | ||||
\(949\) | −12441.5 | −0.425573 | ||||||||
\(950\) | 9979.39 | + | 17089.8i | 0.340815 | + | 0.583648i | ||||
\(951\) | 32528.7 | 1.10917 | ||||||||
\(952\) | −1303.24 | + | 1093.55i | −0.0443681 | + | 0.0372292i | ||||
\(953\) | 18370.6 | + | 6686.37i | 0.624432 | + | 0.227275i | 0.634806 | − | 0.772672i | \(-0.281080\pi\) |
−0.0103742 | + | 0.999946i | \(0.503302\pi\) | |||||||
\(954\) | 53.3715 | − | 302.685i | 0.00181129 | − | 0.0102723i | ||||
\(955\) | 912.054 | + | 5172.51i | 0.0309040 | + | 0.175266i | ||||
\(956\) | −17772.8 | + | 6468.79i | −0.601271 | + | 0.218845i | ||||
\(957\) | 740.503 | − | 1282.59i | 0.0250126 | − | 0.0433231i | ||||
\(958\) | 6328.21 | + | 10960.8i | 0.213419 | + | 0.369652i | ||||
\(959\) | −4128.77 | − | 3464.45i | −0.139025 | − | 0.116656i | ||||
\(960\) | −574.122 | − | 481.745i | −0.0193018 | − | 0.0161961i | ||||
\(961\) | −11493.1 | − | 19906.7i | −0.385792 | − | 0.668212i | ||||
\(962\) | −6580.92 | + | 11398.5i | −0.220558 | + | 0.382018i | ||||
\(963\) | 1483.24 | − | 539.855i | 0.0496331 | − | 0.0180650i | ||||
\(964\) | 280.754 | + | 1592.23i | 0.00938016 | + | 0.0531975i | ||||
\(965\) | 1632.60 | − | 9258.95i | 0.0544615 | − | 0.308866i | ||||
\(966\) | 933.343 | + | 339.709i | 0.0310868 | + | 0.0113147i | ||||
\(967\) | −42020.7 | + | 35259.5i | −1.39741 | + | 1.17256i | −0.435171 | + | 0.900348i | \(0.643312\pi\) |
−0.962236 | + | 0.272216i | \(0.912243\pi\) | |||||||
\(968\) | −10532.4 | −0.349714 | ||||||||
\(969\) | 5210.64 | − | 30426.9i | 0.172745 | − | 1.00872i | ||||
\(970\) | −6206.15 | −0.205430 | ||||||||
\(971\) | 26692.9 | − | 22398.0i | 0.882199 | − | 0.740253i | −0.0844309 | − | 0.996429i | \(-0.526907\pi\) |
0.966630 | + | 0.256176i | \(0.0824628\pi\) | |||||||
\(972\) | 2278.77 | + | 829.403i | 0.0751969 | + | 0.0273694i | ||||
\(973\) | −93.0745 | + | 527.852i | −0.00306663 | + | 0.0173917i | ||||
\(974\) | 1249.77 | + | 7087.78i | 0.0411141 | + | 0.233170i | ||||
\(975\) | −9171.61 | + | 3338.19i | −0.301258 | + | 0.109649i | ||||
\(976\) | 1263.57 | − | 2188.56i | 0.0414404 | − | 0.0717768i | ||||
\(977\) | −24853.2 | − | 43047.0i | −0.813842 | − | 1.40962i | −0.910157 | − | 0.414264i | \(-0.864039\pi\) |
0.0963149 | − | 0.995351i | \(-0.469294\pi\) | |||||||
\(978\) | −3564.35 | − | 2990.85i | −0.116539 | − | 0.0977880i | ||||
\(979\) | 4110.09 | + | 3448.77i | 0.134177 | + | 0.112588i | ||||
\(980\) | 1574.03 | + | 2726.30i | 0.0513067 | + | 0.0888658i | ||||
\(981\) | −1624.54 | + | 2813.78i | −0.0528721 | + | 0.0915771i | ||||
\(982\) | 8028.93 | − | 2922.29i | 0.260910 | − | 0.0949634i | ||||
\(983\) | 4783.53 | + | 27128.7i | 0.155209 | + | 0.880237i | 0.958594 | + | 0.284776i | \(0.0919193\pi\) |
−0.803385 | + | 0.595460i | \(0.796970\pi\) | |||||||
\(984\) | 448.842 | − | 2545.51i | 0.0145412 | − | 0.0824674i | ||||
\(985\) | 4632.61 | + | 1686.13i | 0.149855 | + | 0.0545428i | ||||
\(986\) | −8957.65 | + | 7516.36i | −0.289320 | + | 0.242769i | ||||
\(987\) | 6594.54 | 0.212671 | ||||||||
\(988\) | −5112.08 | − | 1832.17i | −0.164612 | − | 0.0589970i | ||||
\(989\) | −2729.43 | −0.0877562 | ||||||||
\(990\) | −29.6477 | + | 24.8774i | −0.000951785 | + | 0.000798642i | ||||
\(991\) | −45788.0 | − | 16665.5i | −1.46771 | − | 0.534204i | −0.520234 | − | 0.854024i | \(-0.674155\pi\) |
−0.947478 | + | 0.319820i | \(0.896377\pi\) | |||||||
\(992\) | −1276.57 | + | 7239.77i | −0.0408579 | + | 0.231717i | ||||
\(993\) | 7341.20 | + | 41634.0i | 0.234608 | + | 1.33053i | ||||
\(994\) | 3372.89 | − | 1227.63i | 0.107627 | − | 0.0391732i | ||||
\(995\) | 2222.47 | − | 3849.43i | 0.0708111 | − | 0.122648i | ||||
\(996\) | −1323.04 | − | 2291.57i | −0.0420905 | − | 0.0729029i | ||||
\(997\) | 15567.5 | + | 13062.7i | 0.494510 | + | 0.414943i | 0.855639 | − | 0.517572i | \(-0.173164\pi\) |
−0.361129 | + | 0.932516i | \(0.617609\pi\) | |||||||
\(998\) | −3563.21 | − | 2989.89i | −0.113017 | − | 0.0948329i | ||||
\(999\) | −29174.8 | − | 50532.3i | −0.923975 | − | 1.60037i |
(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 | 38.4.e.a.25.2 | ✓ | 12 | |
19.4 | even | 9 | 722.4.a.p.1.3 | 6 | |||
19.15 | odd | 18 | 722.4.a.o.1.4 | 6 | |||
19.16 | even | 9 | inner | 38.4.e.a.35.2 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.4.e.a.25.2 | ✓ | 12 | 1.1 | even | 1 | trivial | |
38.4.e.a.35.2 | yes | 12 | 19.16 | even | 9 | inner | |
722.4.a.o.1.4 | 6 | 19.15 | odd | 18 | |||
722.4.a.p.1.3 | 6 | 19.4 | even | 9 |