Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,4,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.53708213025\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 9.9 | ||
Character | \(\chi\) | \(=\) | 43.9 |
Dual form | 43.4.g.a.24.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.02609 | + | 3.79460i | 1.06989 | + | 1.34159i | 0.936554 | + | 0.350523i | \(0.113996\pi\) |
0.133332 | + | 0.991071i | \(0.457432\pi\) | |||||||
\(3\) | 5.24807 | + | 0.791020i | 1.00999 | + | 0.152232i | 0.633136 | − | 0.774040i | \(-0.281767\pi\) |
0.376856 | + | 0.926272i | \(0.377005\pi\) | |||||||
\(4\) | −3.46159 | + | 15.1662i | −0.432699 | + | 1.89578i | ||||
\(5\) | −13.3495 | − | 9.10152i | −1.19401 | − | 0.814064i | −0.207578 | − | 0.978218i | \(-0.566558\pi\) |
−0.986435 | + | 0.164154i | \(0.947511\pi\) | |||||||
\(6\) | 12.8796 | + | 22.3080i | 0.876343 | + | 1.51787i | ||||
\(7\) | 13.9767 | − | 24.2083i | 0.754670 | − | 1.30713i | −0.190868 | − | 0.981616i | \(-0.561130\pi\) |
0.945538 | − | 0.325512i | \(-0.105537\pi\) | |||||||
\(8\) | −33.0423 | + | 15.9123i | −1.46028 | + | 0.703232i | ||||
\(9\) | 1.11608 | + | 0.344266i | 0.0413364 | + | 0.0127506i | ||||
\(10\) | −5.86013 | − | 78.1980i | −0.185314 | − | 2.47284i | ||||
\(11\) | 2.97735 | + | 13.0446i | 0.0816096 | + | 0.357555i | 0.999201 | − | 0.0399700i | \(-0.0127262\pi\) |
−0.917591 | + | 0.397525i | \(0.869869\pi\) | |||||||
\(12\) | −30.1635 | + | 76.8553i | −0.725621 | + | 1.84885i | ||||
\(13\) | −3.89282 | + | 51.9461i | −0.0830519 | + | 1.10825i | 0.787546 | + | 0.616256i | \(0.211351\pi\) |
−0.870598 | + | 0.491995i | \(0.836268\pi\) | |||||||
\(14\) | 134.156 | − | 20.2207i | 2.56105 | − | 0.386016i | ||||
\(15\) | −62.8595 | − | 58.3251i | −1.08202 | − | 1.00397i | ||||
\(16\) | −48.2443 | − | 23.2332i | −0.753817 | − | 0.363019i | ||||
\(17\) | −75.1740 | + | 51.2528i | −1.07249 | + | 0.731213i | −0.964804 | − | 0.262971i | \(-0.915298\pi\) |
−0.107689 | + | 0.994185i | \(0.534345\pi\) | |||||||
\(18\) | 2.07102 | + | 5.27687i | 0.0271191 | + | 0.0690983i | ||||
\(19\) | 10.0414 | − | 3.09738i | 0.121246 | − | 0.0373993i | −0.233539 | − | 0.972348i | \(-0.575031\pi\) |
0.354784 | + | 0.934948i | \(0.384554\pi\) | |||||||
\(20\) | 184.246 | − | 170.955i | 2.05993 | − | 1.91134i | ||||
\(21\) | 92.5000 | − | 115.991i | 0.961197 | − | 1.20530i | ||||
\(22\) | −40.4895 | + | 50.7722i | −0.392381 | + | 0.492030i | ||||
\(23\) | 143.183 | − | 132.855i | 1.29808 | − | 1.20444i | 0.332867 | − | 0.942974i | \(-0.391984\pi\) |
0.965212 | − | 0.261467i | \(-0.0842064\pi\) | |||||||
\(24\) | −185.995 | + | 57.3719i | −1.58192 | + | 0.487958i | ||||
\(25\) | 49.7032 | + | 126.642i | 0.397626 | + | 1.01313i | ||||
\(26\) | −208.895 | + | 142.422i | −1.57568 | + | 1.07428i | ||||
\(27\) | −123.523 | − | 59.4853i | −0.880441 | − | 0.423998i | ||||
\(28\) | 318.768 | + | 295.773i | 2.15148 | + | 1.99628i | ||||
\(29\) | −166.525 | + | 25.0996i | −1.06631 | + | 0.160720i | −0.658676 | − | 0.752426i | \(-0.728883\pi\) |
−0.407632 | + | 0.913146i | \(0.633645\pi\) | |||||||
\(30\) | 31.1018 | − | 415.024i | 0.189279 | − | 2.52576i | ||||
\(31\) | 44.7032 | − | 113.902i | 0.258998 | − | 0.659915i | −0.740934 | − | 0.671577i | \(-0.765617\pi\) |
0.999932 | + | 0.0116623i | \(0.00371232\pi\) | |||||||
\(32\) | 7.45518 | + | 32.6633i | 0.0411844 | + | 0.180441i | ||||
\(33\) | 5.30680 | + | 70.8144i | 0.0279938 | + | 0.373551i | ||||
\(34\) | −421.968 | − | 130.160i | −2.12844 | − | 0.656536i | ||||
\(35\) | −406.914 | + | 195.960i | −1.96517 | + | 0.946377i | ||||
\(36\) | −9.08463 | + | 15.7350i | −0.0420585 | + | 0.0728474i | ||||
\(37\) | 132.822 | + | 230.054i | 0.590155 | + | 1.02218i | 0.994211 | + | 0.107444i | \(0.0342667\pi\) |
−0.404056 | + | 0.914734i | \(0.632400\pi\) | |||||||
\(38\) | 42.1397 | + | 28.7303i | 0.179894 | + | 0.122649i | ||||
\(39\) | −61.5202 | + | 269.538i | −0.252593 | + | 1.10668i | ||||
\(40\) | 585.923 | + | 88.3137i | 2.31606 | + | 0.349091i | ||||
\(41\) | −155.976 | − | 195.588i | −0.594131 | − | 0.745016i | 0.390320 | − | 0.920679i | \(-0.372364\pi\) |
−0.984450 | + | 0.175663i | \(0.943793\pi\) | |||||||
\(42\) | 720.054 | 2.64540 | ||||||||
\(43\) | 281.929 | + | 4.77810i | 0.999856 | + | 0.0169454i | ||||
\(44\) | −208.144 | −0.713158 | ||||||||
\(45\) | −11.7658 | − | 14.7538i | −0.0389764 | − | 0.0488748i | ||||
\(46\) | 937.418 | + | 141.293i | 3.00467 | + | 0.452881i | ||||
\(47\) | −40.0092 | + | 175.292i | −0.124169 | + | 0.544020i | 0.874129 | + | 0.485695i | \(0.161433\pi\) |
−0.998298 | + | 0.0583256i | \(0.981424\pi\) | |||||||
\(48\) | −234.812 | − | 160.092i | −0.706086 | − | 0.481402i | ||||
\(49\) | −219.196 | − | 379.658i | −0.639055 | − | 1.10688i | ||||
\(50\) | −330.148 | + | 571.834i | −0.933801 | + | 1.61739i | ||||
\(51\) | −435.061 | + | 209.514i | −1.19452 | + | 0.575252i | ||||
\(52\) | −774.352 | − | 238.856i | −2.06506 | − | 0.636987i | ||||
\(53\) | −4.75591 | − | 63.4632i | −0.0123259 | − | 0.164478i | −0.999970 | − | 0.00776357i | \(-0.997529\pi\) |
0.987644 | − | 0.156715i | \(-0.0500903\pi\) | |||||||
\(54\) | −148.068 | − | 648.727i | −0.373138 | − | 1.63483i | ||||
\(55\) | 78.9799 | − | 201.238i | 0.193630 | − | 0.493361i | ||||
\(56\) | −76.6108 | + | 1022.30i | −0.182813 | + | 2.43947i | ||||
\(57\) | 55.1483 | − | 8.31227i | 0.128150 | − | 0.0193156i | ||||
\(58\) | −599.164 | − | 555.943i | −1.35645 | − | 1.25860i | ||||
\(59\) | 26.9102 | + | 12.9593i | 0.0593798 | + | 0.0285958i | 0.463338 | − | 0.886182i | \(-0.346652\pi\) |
−0.403958 | + | 0.914777i | \(0.632366\pi\) | |||||||
\(60\) | 1102.17 | − | 751.444i | 2.37148 | − | 1.61685i | ||||
\(61\) | 78.6090 | + | 200.292i | 0.164998 | + | 0.420407i | 0.989329 | − | 0.145701i | \(-0.0465438\pi\) |
−0.824331 | + | 0.566108i | \(0.808449\pi\) | |||||||
\(62\) | 567.488 | − | 175.047i | 1.16244 | − | 0.358564i | ||||
\(63\) | 23.9332 | − | 22.2068i | 0.0478620 | − | 0.0444094i | ||||
\(64\) | −368.473 | + | 462.050i | −0.719673 | + | 0.902442i | ||||
\(65\) | 524.756 | − | 658.023i | 1.00135 | − | 1.25566i | ||||
\(66\) | −252.653 | + | 234.428i | −0.471204 | + | 0.437214i | ||||
\(67\) | 15.5112 | − | 4.78457i | 0.0282835 | − | 0.00872430i | −0.280581 | − | 0.959830i | \(-0.590527\pi\) |
0.308865 | + | 0.951106i | \(0.400051\pi\) | |||||||
\(68\) | −517.090 | − | 1317.52i | −0.922152 | − | 2.34961i | ||||
\(69\) | 856.528 | − | 583.971i | 1.49440 | − | 1.01887i | ||||
\(70\) | −1974.95 | − | 951.085i | −3.37217 | − | 1.62395i | ||||
\(71\) | 591.169 | + | 548.524i | 0.988152 | + | 0.916871i | 0.996542 | − | 0.0830934i | \(-0.0264800\pi\) |
−0.00838935 | + | 0.999965i | \(0.502670\pi\) | |||||||
\(72\) | −42.3559 | + | 6.38413i | −0.0693291 | + | 0.0104497i | ||||
\(73\) | 2.26456 | − | 30.2185i | 0.00363078 | − | 0.0484494i | −0.995094 | − | 0.0989327i | \(-0.968457\pi\) |
0.998725 | + | 0.0504833i | \(0.0160762\pi\) | |||||||
\(74\) | −471.032 | + | 1200.17i | −0.739951 | + | 1.88536i | ||||
\(75\) | 160.670 | + | 703.941i | 0.247368 | + | 1.08379i | ||||
\(76\) | 12.2161 | + | 163.013i | 0.0184380 | + | 0.246037i | ||||
\(77\) | 357.403 | + | 110.244i | 0.528959 | + | 0.163162i | ||||
\(78\) | −1208.95 | + | 582.202i | −1.75496 | + | 0.845146i | ||||
\(79\) | 189.527 | − | 328.270i | 0.269917 | − | 0.467509i | −0.698923 | − | 0.715197i | \(-0.746337\pi\) |
0.968840 | + | 0.247687i | \(0.0796705\pi\) | |||||||
\(80\) | 432.578 | + | 749.248i | 0.604547 | + | 1.04711i | ||||
\(81\) | −627.257 | − | 427.656i | −0.860434 | − | 0.586634i | ||||
\(82\) | 270.179 | − | 1183.73i | 0.363858 | − | 1.59416i | ||||
\(83\) | 600.347 | + | 90.4878i | 0.793936 | + | 0.119667i | 0.533473 | − | 0.845817i | \(-0.320887\pi\) |
0.260463 | + | 0.965484i | \(0.416125\pi\) | |||||||
\(84\) | 1438.95 | + | 1804.39i | 1.86908 | + | 2.34375i | ||||
\(85\) | 1470.01 | 1.87583 | ||||||||
\(86\) | 835.014 | + | 1084.27i | 1.04700 | + | 1.35953i | ||||
\(87\) | −893.790 | −1.10143 | ||||||||
\(88\) | −305.949 | − | 383.648i | −0.370617 | − | 0.464739i | ||||
\(89\) | −1299.51 | − | 195.869i | −1.54772 | − | 0.233282i | −0.681079 | − | 0.732210i | \(-0.738489\pi\) |
−0.866643 | + | 0.498928i | \(0.833727\pi\) | |||||||
\(90\) | 20.3805 | − | 89.2928i | 0.0238699 | − | 0.104581i | ||||
\(91\) | 1203.12 | + | 820.274i | 1.38595 | + | 0.944924i | ||||
\(92\) | 1519.26 | + | 2631.44i | 1.72168 | + | 2.98203i | ||||
\(93\) | 324.704 | − | 562.404i | 0.362045 | − | 0.627081i | ||||
\(94\) | −786.235 | + | 378.631i | −0.862701 | + | 0.415455i | ||||
\(95\) | −162.239 | − | 50.0441i | −0.175214 | − | 0.0540464i | ||||
\(96\) | 13.2880 | + | 177.316i | 0.0141271 | + | 0.188513i | ||||
\(97\) | −51.1516 | − | 224.110i | −0.0535429 | − | 0.234587i | 0.941075 | − | 0.338198i | \(-0.109817\pi\) |
−0.994618 | + | 0.103611i | \(0.966960\pi\) | |||||||
\(98\) | 777.345 | − | 1980.64i | 0.801262 | − | 2.04158i | ||||
\(99\) | −1.16785 | + | 15.5839i | −0.00118559 | + | 0.0158206i | ||||
\(100\) | −2092.73 | + | 315.428i | −2.09273 | + | 0.315428i | ||||
\(101\) | −742.732 | − | 689.155i | −0.731729 | − | 0.678945i | 0.223536 | − | 0.974696i | \(-0.428240\pi\) |
−0.955265 | + | 0.295750i | \(0.904430\pi\) | |||||||
\(102\) | −2111.56 | − | 1016.87i | −2.04976 | − | 0.987112i | ||||
\(103\) | 549.148 | − | 374.403i | 0.525332 | − | 0.358165i | −0.271430 | − | 0.962458i | \(-0.587497\pi\) |
0.796762 | + | 0.604293i | \(0.206544\pi\) | |||||||
\(104\) | −697.955 | − | 1778.36i | −0.658078 | − | 1.67676i | ||||
\(105\) | −2290.52 | + | 706.533i | −2.12888 | + | 0.656672i | ||||
\(106\) | 226.426 | − | 210.093i | 0.207476 | − | 0.192509i | ||||
\(107\) | −489.566 | + | 613.896i | −0.442319 | + | 0.554650i | −0.952153 | − | 0.305623i | \(-0.901135\pi\) |
0.509834 | + | 0.860273i | \(0.329707\pi\) | |||||||
\(108\) | 1329.75 | − | 1667.46i | 1.18477 | − | 1.48566i | ||||
\(109\) | 1130.35 | − | 1048.81i | 0.993286 | − | 0.921635i | −0.00363925 | − | 0.999993i | \(-0.501158\pi\) |
0.996925 | + | 0.0783587i | \(0.0249679\pi\) | |||||||
\(110\) | 1002.62 | − | 309.266i | 0.869053 | − | 0.268067i | ||||
\(111\) | 515.080 | + | 1312.40i | 0.440444 | + | 1.12223i | ||||
\(112\) | −1236.73 | + | 843.191i | −1.04340 | + | 0.711375i | ||||
\(113\) | 1029.49 | + | 495.775i | 0.857045 | + | 0.412731i | 0.810188 | − | 0.586171i | \(-0.199365\pi\) |
0.0468570 | + | 0.998902i | \(0.485080\pi\) | |||||||
\(114\) | 198.426 | + | 184.112i | 0.163020 | + | 0.151260i | ||||
\(115\) | −3120.60 | + | 470.355i | −2.53042 | + | 0.381399i | ||||
\(116\) | 195.776 | − | 2612.44i | 0.156701 | − | 2.09103i | ||||
\(117\) | −22.2280 | + | 56.6360i | −0.0175639 | + | 0.0447521i | ||||
\(118\) | 32.2575 | + | 141.330i | 0.0251657 | + | 0.110258i | ||||
\(119\) | 190.061 | + | 2536.18i | 0.146410 | + | 1.95371i | ||||
\(120\) | 3005.11 | + | 926.953i | 2.28606 | + | 0.705157i | ||||
\(121\) | 1037.89 | − | 499.822i | 0.779783 | − | 0.375524i | ||||
\(122\) | −522.152 | + | 904.394i | −0.387487 | + | 0.671147i | ||||
\(123\) | −663.859 | − | 1149.84i | −0.486652 | − | 0.842906i | ||||
\(124\) | 1572.72 | + | 1072.26i | 1.13899 | + | 0.776547i | ||||
\(125\) | 39.7134 | − | 173.996i | 0.0284166 | − | 0.124501i | ||||
\(126\) | 156.690 | + | 23.6172i | 0.110786 | + | 0.0166983i | ||||
\(127\) | −1510.66 | − | 1894.31i | −1.05551 | − | 1.32357i | −0.944052 | − | 0.329797i | \(-0.893020\pi\) |
−0.111457 | − | 0.993769i | \(-0.535552\pi\) | |||||||
\(128\) | −2600.30 | −1.79560 | ||||||||
\(129\) | 1475.81 | + | 248.087i | 1.00727 | + | 0.169325i | ||||
\(130\) | 4084.90 | 2.75592 | ||||||||
\(131\) | −1118.96 | − | 1403.14i | −0.746293 | − | 0.935822i | 0.253208 | − | 0.967412i | \(-0.418514\pi\) |
−0.999501 | + | 0.0315903i | \(0.989943\pi\) | |||||||
\(132\) | −1092.36 | − | 164.646i | −0.720284 | − | 0.108565i | ||||
\(133\) | 65.3639 | − | 286.378i | 0.0426148 | − | 0.186708i | ||||
\(134\) | 65.0939 | + | 44.3803i | 0.0419646 | + | 0.0286110i | ||||
\(135\) | 1107.55 | + | 1918.34i | 0.706097 | + | 1.22300i | ||||
\(136\) | 1668.37 | − | 2889.70i | 1.05192 | − | 1.82198i | ||||
\(137\) | −1955.64 | + | 941.786i | −1.21957 | + | 0.587315i | −0.929193 | − | 0.369596i | \(-0.879496\pi\) |
−0.290381 | + | 0.956911i | \(0.593782\pi\) | |||||||
\(138\) | 4807.87 | + | 1483.03i | 2.96575 | + | 0.914812i | ||||
\(139\) | −18.3522 | − | 244.894i | −0.0111987 | − | 0.149436i | −1.00000 | 0.000197963i | \(-0.999937\pi\) | |
0.988801 | − | 0.149238i | \(-0.0476821\pi\) | |||||||
\(140\) | −1563.40 | − | 6849.69i | −0.943793 | − | 4.13503i | ||||
\(141\) | −348.631 | + | 888.296i | −0.208227 | + | 0.530554i | ||||
\(142\) | −292.500 | + | 3903.14i | −0.172859 | + | 2.30665i | ||||
\(143\) | −689.209 | + | 103.882i | −0.403039 | + | 0.0607483i | ||||
\(144\) | −45.8462 | − | 42.5390i | −0.0265314 | − | 0.0246175i | ||||
\(145\) | 2451.47 | + | 1180.56i | 1.40402 | + | 0.676142i | ||||
\(146\) | 121.520 | − | 82.8509i | 0.0688840 | − | 0.0469643i | ||||
\(147\) | −850.038 | − | 2165.86i | −0.476939 | − | 1.21522i | ||||
\(148\) | −3948.82 | + | 1218.05i | −2.19318 | + | 0.676508i | ||||
\(149\) | −837.602 | + | 777.181i | −0.460531 | + | 0.427310i | −0.876010 | − | 0.482293i | \(-0.839804\pi\) |
0.415480 | + | 0.909602i | \(0.363614\pi\) | |||||||
\(150\) | −2184.97 | + | 2739.87i | −1.18935 | + | 1.49140i | ||||
\(151\) | −868.887 | + | 1089.55i | −0.468272 | + | 0.587194i | −0.958747 | − | 0.284261i | \(-0.908252\pi\) |
0.490475 | + | 0.871455i | \(0.336823\pi\) | |||||||
\(152\) | −282.506 | + | 262.127i | −0.150752 | + | 0.139877i | ||||
\(153\) | −101.545 | + | 31.3225i | −0.0536563 | + | 0.0165508i | ||||
\(154\) | 663.202 | + | 1689.81i | 0.347028 | + | 0.884213i | ||||
\(155\) | −1633.44 | + | 1113.66i | −0.846460 | + | 0.577107i | ||||
\(156\) | −3874.91 | − | 1866.06i | −1.98873 | − | 0.957720i | ||||
\(157\) | −107.839 | − | 100.060i | −0.0548182 | − | 0.0508639i | 0.652288 | − | 0.757971i | \(-0.273809\pi\) |
−0.707106 | + | 0.707107i | \(0.750000\pi\) | |||||||
\(158\) | 1819.18 | − | 274.197i | 0.915988 | − | 0.138063i | ||||
\(159\) | 25.2413 | − | 336.822i | 0.0125897 | − | 0.167998i | ||||
\(160\) | 197.763 | − | 503.891i | 0.0977156 | − | 0.248975i | ||||
\(161\) | −1214.96 | − | 5323.11i | −0.594737 | − | 2.60571i | ||||
\(162\) | −275.352 | − | 3674.32i | −0.133541 | − | 1.78199i | ||||
\(163\) | 154.367 | + | 47.6158i | 0.0741775 | + | 0.0228807i | 0.331622 | − | 0.943412i | \(-0.392404\pi\) |
−0.257444 | + | 0.966293i | \(0.582880\pi\) | |||||||
\(164\) | 3506.25 | − | 1688.52i | 1.66947 | − | 0.803972i | ||||
\(165\) | 573.675 | − | 993.634i | 0.270670 | − | 0.468814i | ||||
\(166\) | 1473.34 | + | 2551.90i | 0.688877 | + | 1.19317i | ||||
\(167\) | 1570.87 | + | 1071.00i | 0.727891 | + | 0.496268i | 0.869672 | − | 0.493630i | \(-0.164330\pi\) |
−0.141781 | + | 0.989898i | \(0.545283\pi\) | |||||||
\(168\) | −1210.72 | + | 5304.50i | −0.556006 | + | 2.43602i | ||||
\(169\) | −510.784 | − | 76.9883i | −0.232492 | − | 0.0350425i | ||||
\(170\) | 4448.40 | + | 5578.11i | 2.00692 | + | 2.51660i | ||||
\(171\) | 12.2734 | 0.00548871 | ||||||||
\(172\) | −1048.39 | + | 4259.27i | −0.464762 | + | 1.88817i | ||||
\(173\) | 67.1165 | 0.0294958 | 0.0147479 | − | 0.999891i | \(-0.495305\pi\) | ||||
0.0147479 | + | 0.999891i | \(0.495305\pi\) | |||||||
\(174\) | −2704.69 | − | 3391.58i | −1.17840 | − | 1.47767i | ||||
\(175\) | 3760.47 | + | 566.800i | 1.62437 | + | 0.244835i | ||||
\(176\) | 159.429 | − | 698.503i | 0.0682807 | − | 0.299157i | ||||
\(177\) | 130.976 | + | 89.2977i | 0.0556200 | + | 0.0379210i | ||||
\(178\) | −3189.18 | − | 5523.82i | −1.34292 | − | 2.32600i | ||||
\(179\) | 807.805 | − | 1399.16i | 0.337308 | − | 0.584235i | −0.646617 | − | 0.762815i | \(-0.723817\pi\) |
0.983925 | + | 0.178579i | \(0.0571502\pi\) | |||||||
\(180\) | 264.488 | − | 127.371i | 0.109521 | − | 0.0527425i | ||||
\(181\) | 1837.19 | + | 566.697i | 0.754459 | + | 0.232720i | 0.648045 | − | 0.761602i | \(-0.275587\pi\) |
0.106414 | + | 0.994322i | \(0.466063\pi\) | |||||||
\(182\) | 528.144 | + | 7047.59i | 0.215102 | + | 2.87034i | ||||
\(183\) | 254.110 | + | 1113.33i | 0.102647 | + | 0.449725i | ||||
\(184\) | −2617.08 | + | 6668.21i | −1.04855 | + | 2.67167i | ||||
\(185\) | 320.740 | − | 4279.97i | 0.127466 | − | 1.70092i | ||||
\(186\) | 3116.68 | − | 469.764i | 1.22864 | − | 0.185187i | ||||
\(187\) | −892.394 | − | 828.021i | −0.348975 | − | 0.323801i | ||||
\(188\) | −2520.02 | − | 1213.58i | −0.977614 | − | 0.470794i | ||||
\(189\) | −3166.48 | + | 2158.87i | −1.21866 | + | 0.830870i | ||||
\(190\) | −301.053 | − | 767.070i | −0.114951 | − | 0.292890i | ||||
\(191\) | 2980.57 | − | 919.383i | 1.12914 | − | 0.348294i | 0.326762 | − | 0.945107i | \(-0.394042\pi\) |
0.802381 | + | 0.596812i | \(0.203566\pi\) | |||||||
\(192\) | −2299.26 | + | 2133.40i | −0.864245 | + | 0.801902i | ||||
\(193\) | −1155.80 | + | 1449.33i | −0.431069 | + | 0.540544i | −0.949165 | − | 0.314779i | \(-0.898070\pi\) |
0.518096 | + | 0.855323i | \(0.326641\pi\) | |||||||
\(194\) | 695.618 | − | 872.277i | 0.257435 | − | 0.322814i | ||||
\(195\) | 3274.46 | − | 3038.26i | 1.20251 | − | 1.11577i | ||||
\(196\) | 6516.75 | − | 2010.15i | 2.37491 | − | 0.732563i | ||||
\(197\) | 69.2611 | + | 176.474i | 0.0250490 | + | 0.0638238i | 0.942851 | − | 0.333214i | \(-0.108133\pi\) |
−0.917802 | + | 0.397038i | \(0.870038\pi\) | |||||||
\(198\) | −62.6687 | + | 42.7268i | −0.0224933 | + | 0.0153357i | ||||
\(199\) | −51.8701 | − | 24.9793i | −0.0184773 | − | 0.00889818i | 0.424622 | − | 0.905371i | \(-0.360407\pi\) |
−0.443100 | + | 0.896472i | \(0.646121\pi\) | |||||||
\(200\) | −3657.47 | − | 3393.64i | −1.29311 | − | 1.19983i | ||||
\(201\) | 85.1885 | − | 12.8401i | 0.0298942 | − | 0.00450583i | ||||
\(202\) | 367.491 | − | 4903.82i | 0.128003 | − | 1.70808i | ||||
\(203\) | −1719.85 | + | 4382.11i | −0.594629 | + | 1.51509i | ||||
\(204\) | −1671.54 | − | 7323.48i | −0.573682 | − | 2.51346i | ||||
\(205\) | 302.053 | + | 4030.61i | 0.102909 | + | 1.37322i | ||||
\(206\) | 3082.49 | + | 950.821i | 1.04256 | + | 0.321587i | ||||
\(207\) | 205.542 | − | 98.9837i | 0.0690152 | − | 0.0332360i | ||||
\(208\) | 1394.68 | − | 2415.66i | 0.464922 | − | 0.805269i | ||||
\(209\) | 70.3011 | + | 121.765i | 0.0232671 | + | 0.0402998i | ||||
\(210\) | −9612.35 | − | 6553.59i | −3.15864 | − | 2.15353i | ||||
\(211\) | −160.118 | + | 701.522i | −0.0522416 | + | 0.228885i | −0.994308 | − | 0.106540i | \(-0.966023\pi\) |
0.942067 | + | 0.335425i | \(0.108880\pi\) | |||||||
\(212\) | 978.961 | + | 147.555i | 0.317148 | + | 0.0478023i | ||||
\(213\) | 2668.60 | + | 3346.32i | 0.858449 | + | 1.07646i | ||||
\(214\) | −3810.96 | −1.21735 | ||||||||
\(215\) | −3720.12 | − | 2629.77i | −1.18005 | − | 0.834181i | ||||
\(216\) | 5028.01 | 1.58386 | ||||||||
\(217\) | −2132.57 | − | 2674.16i | −0.667135 | − | 0.836561i | ||||
\(218\) | 7400.39 | + | 1115.43i | 2.29916 | + | 0.346543i | ||||
\(219\) | 35.7880 | − | 156.797i | 0.0110426 | − | 0.0483808i | ||||
\(220\) | 2778.62 | + | 1894.43i | 0.851520 | + | 0.580557i | ||||
\(221\) | −2369.74 | − | 4104.52i | −0.721295 | − | 1.24932i | ||||
\(222\) | −3421.37 | + | 5925.98i | −1.03436 | + | 1.79156i | ||||
\(223\) | −28.8492 | + | 13.8931i | −0.00866318 | + | 0.00417197i | −0.438210 | − | 0.898872i | \(-0.644387\pi\) |
0.429547 | + | 0.903044i | \(0.358673\pi\) | |||||||
\(224\) | 894.922 | + | 276.047i | 0.266940 | + | 0.0823400i | ||||
\(225\) | 11.8745 | + | 158.454i | 0.00351836 | + | 0.0469492i | ||||
\(226\) | 1234.06 | + | 5406.76i | 0.363222 | + | 1.59138i | ||||
\(227\) | 1808.74 | − | 4608.60i | 0.528857 | − | 1.34750i | −0.377898 | − | 0.925847i | \(-0.623353\pi\) |
0.906755 | − | 0.421658i | \(-0.138552\pi\) | |||||||
\(228\) | −64.8352 | + | 865.166i | −0.0188325 | + | 0.251303i | ||||
\(229\) | −1152.51 | + | 173.713i | −0.332576 | + | 0.0501278i | −0.313208 | − | 0.949685i | \(-0.601404\pi\) |
−0.0193685 | + | 0.999812i | \(0.506166\pi\) | |||||||
\(230\) | −11228.1 | − | 10418.1i | −3.21894 | − | 2.98674i | ||||
\(231\) | 1788.47 | + | 861.282i | 0.509405 | + | 0.245317i | ||||
\(232\) | 5102.97 | − | 3479.15i | 1.44408 | − | 0.984557i | ||||
\(233\) | 391.285 | + | 996.978i | 0.110017 | + | 0.280319i | 0.975270 | − | 0.221017i | \(-0.0709376\pi\) |
−0.865253 | + | 0.501335i | \(0.832842\pi\) | |||||||
\(234\) | −282.175 | + | 87.0394i | −0.0788306 | + | 0.0243160i | ||||
\(235\) | 2129.52 | − | 1975.91i | 0.591127 | − | 0.548486i | ||||
\(236\) | −289.695 | + | 363.267i | −0.0799050 | + | 0.100198i | ||||
\(237\) | 1254.32 | − | 1572.86i | 0.343784 | − | 0.431091i | ||||
\(238\) | −9048.67 | + | 8395.93i | −2.46444 | + | 2.28667i | ||||
\(239\) | −4084.48 | + | 1259.89i | −1.10545 | + | 0.340986i | −0.793168 | − | 0.609003i | \(-0.791570\pi\) |
−0.312283 | + | 0.949989i | \(0.601094\pi\) | |||||||
\(240\) | 1677.53 | + | 4274.28i | 0.451185 | + | 1.14960i | ||||
\(241\) | −5803.58 | + | 3956.82i | −1.55121 | + | 1.05760i | −0.581436 | + | 0.813592i | \(0.697509\pi\) |
−0.969774 | + | 0.244005i | \(0.921539\pi\) | |||||||
\(242\) | 5037.38 | + | 2425.88i | 1.33808 | + | 0.644385i | ||||
\(243\) | −240.072 | − | 222.755i | −0.0633771 | − | 0.0588054i | ||||
\(244\) | −3309.79 | + | 498.871i | −0.868393 | + | 0.130889i | ||||
\(245\) | −529.318 | + | 7063.25i | −0.138028 | + | 1.84186i | ||||
\(246\) | 2354.28 | − | 5998.60i | 0.610176 | − | 1.55470i | ||||
\(247\) | 121.807 | + | 533.672i | 0.0313781 | + | 0.137477i | ||||
\(248\) | 335.348 | + | 4474.90i | 0.0858653 | + | 1.14579i | ||||
\(249\) | 3079.09 | + | 949.773i | 0.783652 | + | 0.241725i | ||||
\(250\) | 780.421 | − | 375.831i | 0.197433 | − | 0.0950785i | ||||
\(251\) | −1061.38 | + | 1838.37i | −0.266908 | + | 0.462299i | −0.968062 | − | 0.250712i | \(-0.919335\pi\) |
0.701154 | + | 0.713010i | \(0.252669\pi\) | |||||||
\(252\) | 253.946 | + | 439.848i | 0.0634806 | + | 0.109952i | ||||
\(253\) | 2159.35 | + | 1472.22i | 0.536590 | + | 0.365841i | ||||
\(254\) | 2616.75 | − | 11464.7i | 0.646415 | − | 2.83213i | ||||
\(255\) | 7714.73 | + | 1162.81i | 1.89457 | + | 0.285560i | ||||
\(256\) | −4920.99 | − | 6170.72i | −1.20141 | − | 1.50652i | ||||
\(257\) | 1456.60 | 0.353543 | 0.176771 | − | 0.984252i | \(-0.443435\pi\) | ||||
0.176771 | + | 0.984252i | \(0.443435\pi\) | |||||||
\(258\) | 3524.54 | + | 6350.83i | 0.850496 | + | 1.53250i | ||||
\(259\) | 7425.63 | 1.78149 | ||||||||
\(260\) | 8163.24 | + | 10236.4i | 1.94716 | + | 2.44167i | ||||
\(261\) | −194.497 | − | 29.3156i | −0.0461266 | − | 0.00695246i | ||||
\(262\) | 1938.25 | − | 8492.05i | 0.457045 | − | 2.00244i | ||||
\(263\) | −3807.32 | − | 2595.79i | −0.892660 | − | 0.608606i | 0.0277261 | − | 0.999616i | \(-0.491173\pi\) |
−0.920386 | + | 0.391010i | \(0.872126\pi\) | |||||||
\(264\) | −1302.17 | − | 2255.42i | −0.303572 | − | 0.525802i | ||||
\(265\) | −514.123 | + | 890.487i | −0.119179 | + | 0.206423i | ||||
\(266\) | 1284.49 | − | 618.576i | 0.296079 | − | 0.142584i | ||||
\(267\) | −6664.96 | − | 2055.87i | −1.52767 | − | 0.471225i | ||||
\(268\) | 18.8704 | + | 251.809i | 0.00430110 | + | 0.0573942i | ||||
\(269\) | 844.418 | + | 3699.63i | 0.191394 | + | 0.838553i | 0.975863 | + | 0.218384i | \(0.0700786\pi\) |
−0.784469 | + | 0.620169i | \(0.787064\pi\) | |||||||
\(270\) | −3927.77 | + | 10007.8i | −0.885321 | + | 2.25576i | ||||
\(271\) | 275.284 | − | 3673.41i | 0.0617059 | − | 0.823408i | −0.877395 | − | 0.479768i | \(-0.840721\pi\) |
0.939101 | − | 0.343640i | \(-0.111660\pi\) | |||||||
\(272\) | 4817.49 | − | 726.119i | 1.07391 | − | 0.161866i | ||||
\(273\) | 5665.21 | + | 5256.55i | 1.25595 | + | 1.16535i | ||||
\(274\) | −9491.65 | − | 4570.94i | −2.09274 | − | 1.00781i | ||||
\(275\) | −1504.01 | + | 1025.42i | −0.329801 | + | 0.224855i | ||||
\(276\) | 5891.69 | + | 15011.8i | 1.28492 | + | 3.27392i | ||||
\(277\) | −4699.41 | + | 1449.58i | −1.01935 | + | 0.314428i | −0.759003 | − | 0.651087i | \(-0.774313\pi\) |
−0.260348 | + | 0.965515i | \(0.583837\pi\) | |||||||
\(278\) | 873.738 | − | 810.711i | 0.188501 | − | 0.174904i | ||||
\(279\) | 89.1048 | − | 111.734i | 0.0191203 | − | 0.0239761i | ||||
\(280\) | 10327.2 | − | 12949.9i | 2.20417 | − | 2.76394i | ||||
\(281\) | 155.945 | − | 144.696i | 0.0331065 | − | 0.0307183i | −0.663446 | − | 0.748224i | \(-0.730907\pi\) |
0.696553 | + | 0.717506i | \(0.254716\pi\) | |||||||
\(282\) | −4425.72 | + | 1365.15i | −0.934567 | + | 0.288276i | ||||
\(283\) | −1014.19 | − | 2584.11i | −0.213029 | − | 0.542788i | 0.783919 | − | 0.620863i | \(-0.213218\pi\) |
−0.996947 | + | 0.0780751i | \(0.975123\pi\) | |||||||
\(284\) | −10365.4 | + | 7067.03i | −2.16576 | + | 1.47659i | ||||
\(285\) | −811.855 | − | 390.969i | −0.168737 | − | 0.0812596i | ||||
\(286\) | −2479.80 | − | 2300.92i | −0.512705 | − | 0.475721i | ||||
\(287\) | −6914.88 | + | 1042.25i | −1.42220 | + | 0.214363i | ||||
\(288\) | −2.92425 | + | 39.0214i | −0.000598310 | + | 0.00798389i | ||||
\(289\) | 1229.37 | − | 3132.37i | 0.250227 | − | 0.637569i | ||||
\(290\) | 2938.60 | + | 12874.8i | 0.595036 | + | 2.60702i | ||||
\(291\) | −91.1720 | − | 1216.61i | −0.0183663 | − | 0.245081i | ||||
\(292\) | 450.462 | + | 138.949i | 0.0902783 | + | 0.0278472i | ||||
\(293\) | 6411.07 | − | 3087.41i | 1.27829 | − | 0.615592i | 0.333339 | − | 0.942807i | \(-0.391824\pi\) |
0.944950 | + | 0.327215i | \(0.106110\pi\) | |||||||
\(294\) | 5646.29 | − | 9779.66i | 1.12006 | − | 1.94001i | ||||
\(295\) | −241.288 | − | 417.923i | −0.0476215 | − | 0.0824828i | ||||
\(296\) | −8049.41 | − | 5488.00i | −1.58062 | − | 1.07765i | ||||
\(297\) | 408.194 | − | 1788.42i | 0.0797503 | − | 0.349409i | ||||
\(298\) | −5483.76 | − | 826.544i | −1.06599 | − | 0.160672i | ||||
\(299\) | 6343.91 | + | 7955.01i | 1.22702 | + | 1.53863i | ||||
\(300\) | −11232.3 | −2.16166 | ||||||||
\(301\) | 4056.11 | − | 6758.26i | 0.776712 | − | 1.29415i | ||||
\(302\) | −6763.74 | −1.28877 | ||||||||
\(303\) | −3352.78 | − | 4204.25i | −0.635683 | − | 0.797122i | ||||
\(304\) | −556.405 | − | 83.8645i | −0.104974 | − | 0.0158222i | ||||
\(305\) | 773.576 | − | 3389.26i | 0.145229 | − | 0.636290i | ||||
\(306\) | −426.141 | − | 290.538i | −0.0796106 | − | 0.0542776i | ||||
\(307\) | 1831.95 | + | 3173.04i | 0.340570 | + | 0.589885i | 0.984539 | − | 0.175167i | \(-0.0560465\pi\) |
−0.643968 | + | 0.765052i | \(0.722713\pi\) | |||||||
\(308\) | −2909.17 | + | 5038.83i | −0.538199 | + | 0.932189i | ||||
\(309\) | 3178.13 | − | 1530.51i | 0.585105 | − | 0.281772i | ||||
\(310\) | −9168.86 | − | 2828.22i | −1.67986 | − | 0.518168i | ||||
\(311\) | −558.601 | − | 7454.01i | −0.101850 | − | 1.35909i | −0.780741 | − | 0.624855i | \(-0.785158\pi\) |
0.678891 | − | 0.734239i | \(-0.262461\pi\) | |||||||
\(312\) | −2256.20 | − | 9885.07i | −0.409398 | − | 1.79369i | ||||
\(313\) | −2321.81 | + | 5915.87i | −0.419285 | + | 1.06832i | 0.552721 | + | 0.833367i | \(0.313590\pi\) |
−0.972006 | + | 0.234955i | \(0.924506\pi\) | |||||||
\(314\) | 53.3567 | − | 711.995i | 0.00958946 | − | 0.127962i | ||||
\(315\) | −521.611 | + | 78.6203i | −0.0932999 | + | 0.0140627i | ||||
\(316\) | 4322.55 | + | 4010.74i | 0.769502 | + | 0.713993i | ||||
\(317\) | −2193.24 | − | 1056.21i | −0.388596 | − | 0.187138i | 0.229376 | − | 0.973338i | \(-0.426331\pi\) |
−0.617972 | + | 0.786200i | \(0.712046\pi\) | |||||||
\(318\) | 1354.49 | − | 923.473i | 0.238855 | − | 0.162848i | ||||
\(319\) | −823.220 | − | 2097.53i | −0.144487 | − | 0.368148i | ||||
\(320\) | 9124.28 | − | 2814.47i | 1.59395 | − | 0.491667i | ||||
\(321\) | −3054.88 | + | 2834.51i | −0.531174 | + | 0.492857i | ||||
\(322\) | 16522.5 | − | 20718.5i | 2.85951 | − | 3.58571i | ||||
\(323\) | −596.107 | + | 747.494i | −0.102688 | + | 0.128767i | ||||
\(324\) | 8657.24 | − | 8032.75i | 1.48444 | − | 1.37736i | ||||
\(325\) | −6772.03 | + | 2088.90i | −1.15583 | + | 0.356526i | ||||
\(326\) | 286.445 | + | 729.850i | 0.0486648 | + | 0.123996i | ||||
\(327\) | 6761.81 | − | 4610.12i | 1.14351 | − | 0.779634i | ||||
\(328\) | 8266.05 | + | 3980.72i | 1.39151 | + | 0.670118i | ||||
\(329\) | 3684.33 | + | 3418.56i | 0.617397 | + | 0.572861i | ||||
\(330\) | 5506.44 | − | 829.963i | 0.918545 | − | 0.138448i | ||||
\(331\) | −153.447 | + | 2047.61i | −0.0254810 | + | 0.340020i | 0.969864 | + | 0.243646i | \(0.0783435\pi\) |
−0.995345 | + | 0.0963739i | \(0.969276\pi\) | |||||||
\(332\) | −3450.52 | + | 8791.77i | −0.570397 | + | 1.45335i | ||||
\(333\) | 69.0402 | + | 302.485i | 0.0113615 | + | 0.0497780i | ||||
\(334\) | 689.580 | + | 9201.80i | 0.112970 | + | 1.50749i | ||||
\(335\) | −250.613 | − | 77.3039i | −0.0408730 | − | 0.0126077i | ||||
\(336\) | −7157.45 | + | 3446.85i | −1.16212 | + | 0.559645i | ||||
\(337\) | 3662.21 | − | 6343.14i | 0.591969 | − | 1.02532i | −0.401998 | − | 0.915640i | \(-0.631684\pi\) |
0.993967 | − | 0.109680i | \(-0.0349825\pi\) | |||||||
\(338\) | −1253.54 | − | 2171.20i | −0.201727 | − | 0.349401i | ||||
\(339\) | 5010.66 | + | 3416.21i | 0.802777 | + | 0.547324i | ||||
\(340\) | −5088.58 | + | 22294.5i | −0.811668 | + | 3.55615i | ||||
\(341\) | 1618.91 | + | 244.011i | 0.257093 | + | 0.0387505i | ||||
\(342\) | 37.1405 | + | 46.5727i | 0.00587230 | + | 0.00736363i | ||||
\(343\) | −2666.52 | −0.419762 | ||||||||
\(344\) | −9391.62 | + | 4328.27i | −1.47198 | + | 0.678386i | ||||
\(345\) | −16749.2 | −2.61376 | ||||||||
\(346\) | 203.101 | + | 254.681i | 0.0315572 | + | 0.0395714i | ||||
\(347\) | 207.953 | + | 31.3438i | 0.0321714 | + | 0.00484906i | 0.165108 | − | 0.986275i | \(-0.447203\pi\) |
−0.132937 | + | 0.991125i | \(0.542441\pi\) | |||||||
\(348\) | 3093.94 | − | 13555.4i | 0.476588 | − | 2.08807i | ||||
\(349\) | 6595.15 | + | 4496.49i | 1.01155 | + | 0.689661i | 0.951219 | − | 0.308517i | \(-0.0998328\pi\) |
0.0603286 | + | 0.998179i | \(0.480785\pi\) | |||||||
\(350\) | 9228.76 | + | 15984.7i | 1.40942 | + | 2.44119i | ||||
\(351\) | 3570.88 | − | 6184.95i | 0.543019 | − | 0.940536i | ||||
\(352\) | −403.884 | + | 194.500i | −0.0611565 | + | 0.0294514i | ||||
\(353\) | −8730.53 | − | 2693.01i | −1.31637 | − | 0.406047i | −0.444499 | − | 0.895779i | \(-0.646618\pi\) |
−0.871873 | + | 0.489732i | \(0.837095\pi\) | |||||||
\(354\) | 57.4955 | + | 767.224i | 0.00863234 | + | 0.115191i | ||||
\(355\) | −2899.39 | − | 12703.0i | −0.433475 | − | 1.89918i | ||||
\(356\) | 7468.95 | − | 19030.6i | 1.11195 | − | 2.83320i | ||||
\(357\) | −1008.72 | + | 13460.4i | −0.149544 | + | 1.99552i | ||||
\(358\) | 7753.75 | − | 1168.69i | 1.14469 | − | 0.172534i | ||||
\(359\) | 4794.01 | + | 4448.19i | 0.704786 | + | 0.653946i | 0.948819 | − | 0.315821i | \(-0.102280\pi\) |
−0.244033 | + | 0.969767i | \(0.578471\pi\) | |||||||
\(360\) | 623.535 | + | 300.278i | 0.0912866 | + | 0.0439613i | ||||
\(361\) | −5575.93 | + | 3801.61i | −0.812937 | + | 0.554251i | ||||
\(362\) | 3409.11 | + | 8686.28i | 0.494970 | + | 1.26116i | ||||
\(363\) | 5842.30 | − | 1802.11i | 0.844741 | − | 0.260568i | ||||
\(364\) | −16605.2 | + | 15407.4i | −2.39107 | + | 2.21858i | ||||
\(365\) | −305.265 | + | 382.790i | −0.0437761 | + | 0.0548935i | ||||
\(366\) | −3455.68 | + | 4333.29i | −0.493529 | + | 0.618866i | ||||
\(367\) | −5500.13 | + | 5103.37i | −0.782301 | + | 0.725869i | −0.966401 | − | 0.257039i | \(-0.917253\pi\) |
0.184101 | + | 0.982907i | \(0.441063\pi\) | |||||||
\(368\) | −9994.44 | + | 3082.88i | −1.41575 | + | 0.436701i | ||||
\(369\) | −106.748 | − | 271.989i | −0.0150598 | − | 0.0383718i | ||||
\(370\) | 17211.4 | − | 11734.5i | 2.41832 | − | 1.64878i | ||||
\(371\) | −1602.81 | − | 771.873i | −0.224296 | − | 0.108015i | ||||
\(372\) | 7405.55 | + | 6871.35i | 1.03215 | + | 0.957696i | ||||
\(373\) | −230.629 | + | 34.7617i | −0.0320148 | + | 0.00482545i | −0.165030 | − | 0.986289i | \(-0.552772\pi\) |
0.133015 | + | 0.991114i | \(0.457534\pi\) | |||||||
\(374\) | 441.541 | − | 5891.95i | 0.0610468 | − | 0.814613i | ||||
\(375\) | 346.053 | − | 881.728i | 0.0476536 | − | 0.121419i | ||||
\(376\) | −1467.30 | − | 6428.68i | −0.201251 | − | 0.881739i | ||||
\(377\) | −655.575 | − | 8748.04i | −0.0895592 | − | 1.19508i | ||||
\(378\) | −17774.1 | − | 5482.58i | −2.41852 | − | 0.746015i | ||||
\(379\) | −6520.83 | + | 3140.27i | −0.883780 | + | 0.425606i | −0.820004 | − | 0.572358i | \(-0.806029\pi\) |
−0.0637764 | + | 0.997964i | \(0.520314\pi\) | |||||||
\(380\) | 1320.58 | − | 2287.32i | 0.178275 | − | 0.308782i | ||||
\(381\) | −6429.63 | − | 11136.4i | −0.864567 | − | 1.49747i | ||||
\(382\) | 12508.2 | + | 8527.93i | 1.67532 | + | 1.14222i | ||||
\(383\) | 1728.95 | − | 7575.04i | 0.230667 | − | 1.01062i | −0.718422 | − | 0.695608i | \(-0.755135\pi\) |
0.949088 | − | 0.315010i | \(-0.102008\pi\) | |||||||
\(384\) | −13646.6 | − | 2056.89i | −1.81354 | − | 0.273347i | ||||
\(385\) | −3767.75 | − | 4724.61i | −0.498759 | − | 0.625424i | ||||
\(386\) | −8997.19 | −1.18639 | ||||||||
\(387\) | 313.011 | + | 102.391i | 0.0411144 | + | 0.0134492i | ||||
\(388\) | 3575.97 | 0.467892 | ||||||||
\(389\) | 5131.95 | + | 6435.26i | 0.668895 | + | 0.838768i | 0.994279 | − | 0.106814i | \(-0.0340649\pi\) |
−0.325384 | + | 0.945582i | \(0.605494\pi\) | |||||||
\(390\) | 21437.8 | + | 3231.23i | 2.78345 | + | 0.419538i | ||||
\(391\) | −3954.50 | + | 17325.8i | −0.511477 | + | 2.24093i | ||||
\(392\) | 13284.0 | + | 9056.86i | 1.71159 | + | 1.16694i | ||||
\(393\) | −4762.50 | − | 8248.89i | −0.611288 | − | 1.05878i | ||||
\(394\) | −460.060 | + | 796.847i | −0.0588261 | + | 0.101890i | ||||
\(395\) | −5517.84 | + | 2657.25i | −0.702867 | + | 0.338483i | ||||
\(396\) | −232.306 | − | 71.6570i | −0.0294794 | − | 0.00909318i | ||||
\(397\) | −618.347 | − | 8251.27i | −0.0781712 | − | 1.04312i | −0.889021 | − | 0.457867i | \(-0.848614\pi\) |
0.810850 | − | 0.585255i | \(-0.199005\pi\) | |||||||
\(398\) | −62.1773 | − | 272.416i | −0.00783081 | − | 0.0343090i | ||||
\(399\) | 569.565 | − | 1451.23i | 0.0714634 | − | 0.182086i | ||||
\(400\) | 544.400 | − | 7264.51i | 0.0680500 | − | 0.908063i | ||||
\(401\) | 13536.0 | − | 2040.23i | 1.68568 | − | 0.254075i | 0.764897 | − | 0.644153i | \(-0.222790\pi\) |
0.920782 | + | 0.390078i | \(0.127552\pi\) | |||||||
\(402\) | 306.512 | + | 284.401i | 0.0380284 | + | 0.0352852i | ||||
\(403\) | 5742.73 | + | 2765.56i | 0.709841 | + | 0.341842i | ||||
\(404\) | 13022.9 | − | 8878.88i | 1.60375 | − | 1.09342i | ||||
\(405\) | 4481.22 | + | 11418.0i | 0.549812 | + | 1.40090i | ||||
\(406\) | −21832.8 | + | 6734.52i | −2.66882 | + | 0.823223i | ||||
\(407\) | −2605.51 | + | 2417.56i | −0.317323 | + | 0.294433i | ||||
\(408\) | 11041.5 | − | 13845.6i | 1.33980 | − | 1.68005i | ||||
\(409\) | −8193.74 | + | 10274.6i | −0.990597 | + | 1.24217i | −0.0204155 | + | 0.999792i | \(0.506499\pi\) |
−0.970182 | + | 0.242378i | \(0.922073\pi\) | |||||||
\(410\) | −14380.5 | + | 13343.2i | −1.73220 | + | 1.60725i | ||||
\(411\) | −11008.3 | + | 3395.61i | −1.32117 | + | 0.407526i | ||||
\(412\) | 3777.35 | + | 9624.54i | 0.451692 | + | 1.15089i | ||||
\(413\) | 689.838 | − | 470.324i | 0.0821906 | − | 0.0560366i | ||||
\(414\) | 997.593 | + | 480.415i | 0.118428 | + | 0.0570317i | ||||
\(415\) | −7190.74 | − | 6672.04i | −0.850554 | − | 0.789198i | ||||
\(416\) | −1725.75 | + | 260.115i | −0.203394 | + | 0.0306567i | ||||
\(417\) | 97.4017 | − | 1299.74i | 0.0114383 | − | 0.152634i | ||||
\(418\) | −249.312 | + | 635.237i | −0.0291729 | + | 0.0743313i | ||||
\(419\) | 1628.58 | + | 7135.27i | 0.189884 | + | 0.831935i | 0.976676 | + | 0.214718i | \(0.0688831\pi\) |
−0.786792 | + | 0.617218i | \(0.788260\pi\) | |||||||
\(420\) | −2786.58 | − | 37184.3i | −0.323741 | − | 4.32002i | ||||
\(421\) | 14373.4 | + | 4433.62i | 1.66394 | + | 0.513258i | 0.976961 | − | 0.213419i | \(-0.0684598\pi\) |
0.686980 | + | 0.726676i | \(0.258936\pi\) | |||||||
\(422\) | −3146.53 | + | 1515.29i | −0.362964 | + | 0.174794i | ||||
\(423\) | −105.001 | + | 181.866i | −0.0120693 | + | 0.0209046i | ||||
\(424\) | 1166.99 | + | 2021.29i | 0.133666 | + | 0.231516i | ||||
\(425\) | −10227.1 | − | 6972.74i | −1.16727 | − | 0.795830i | ||||
\(426\) | −4622.52 | + | 20252.6i | −0.525732 | + | 2.30338i | ||||
\(427\) | 5947.44 | + | 896.433i | 0.674044 | + | 0.101596i | ||||
\(428\) | −7615.81 | − | 9549.92i | −0.860103 | − | 1.07853i | ||||
\(429\) | −3699.19 | −0.416314 | ||||||||
\(430\) | −1278.51 | − | 22074.3i | −0.143384 | − | 2.47562i | ||||
\(431\) | 4332.46 | 0.484193 | 0.242096 | − | 0.970252i | \(-0.422165\pi\) | ||||
0.242096 | + | 0.970252i | \(0.422165\pi\) | |||||||
\(432\) | 4577.22 | + | 5739.65i | 0.509772 | + | 0.639234i | ||||
\(433\) | −1670.09 | − | 251.725i | −0.185356 | − | 0.0279380i | 0.0557081 | − | 0.998447i | \(-0.482258\pi\) |
−0.241064 | + | 0.970509i | \(0.577496\pi\) | |||||||
\(434\) | 3694.01 | − | 16184.5i | 0.408567 | − | 1.79005i | ||||
\(435\) | 11931.6 | + | 8134.84i | 1.31512 | + | 0.896634i | ||||
\(436\) | 11993.7 | + | 20773.8i | 1.31742 | + | 2.28184i | ||||
\(437\) | 1026.27 | − | 1777.55i | 0.112341 | − | 0.194580i | ||||
\(438\) | 703.282 | − | 338.683i | 0.0767217 | − | 0.0369472i | ||||
\(439\) | 13718.1 | + | 4231.46i | 1.49141 | + | 0.460038i | 0.930018 | − | 0.367514i | \(-0.119791\pi\) |
0.561389 | + | 0.827552i | \(0.310267\pi\) | |||||||
\(440\) | 592.480 | + | 7906.10i | 0.0641940 | + | 0.856610i | ||||
\(441\) | −113.937 | − | 499.191i | −0.0123029 | − | 0.0539025i | ||||
\(442\) | 8403.94 | − | 21412.9i | 0.904377 | − | 2.30432i | ||||
\(443\) | −117.547 | + | 1568.56i | −0.0126069 | + | 0.168227i | 0.987347 | + | 0.158577i | \(0.0506907\pi\) |
−0.999953 | + | 0.00964964i | \(0.996928\pi\) | |||||||
\(444\) | −21687.2 | + | 3268.82i | −2.31808 | + | 0.349395i | ||||
\(445\) | 15565.0 | + | 14442.2i | 1.65809 | + | 1.53849i | ||||
\(446\) | −140.019 | − | 67.4297i | −0.0148657 | − | 0.00715894i | ||||
\(447\) | −5010.56 | + | 3416.14i | −0.530182 | + | 0.361472i | ||||
\(448\) | 6035.44 | + | 15378.0i | 0.636490 | + | 1.62175i | ||||
\(449\) | 9484.56 | − | 2925.60i | 0.996892 | − | 0.307500i | 0.246967 | − | 0.969024i | \(-0.420566\pi\) |
0.749924 | + | 0.661524i | \(0.230090\pi\) | |||||||
\(450\) | −565.335 | + | 524.554i | −0.0592226 | + | 0.0549505i | ||||
\(451\) | 2086.98 | − | 2616.98i | 0.217898 | − | 0.273235i | ||||
\(452\) | −11082.7 | + | 13897.3i | −1.15329 | + | 1.44618i | ||||
\(453\) | −5421.84 | + | 5030.73i | −0.562340 | + | 0.521775i | ||||
\(454\) | 22961.2 | − | 7082.60i | 2.37362 | − | 0.732165i | ||||
\(455\) | −8595.29 | − | 21900.4i | −0.885612 | − | 2.25650i | ||||
\(456\) | −1689.96 | + | 1152.19i | −0.173552 | + | 0.118325i | ||||
\(457\) | −16956.6 | − | 8165.85i | −1.73566 | − | 0.835847i | −0.984425 | − | 0.175808i | \(-0.943746\pi\) |
−0.751231 | − | 0.660040i | \(-0.770539\pi\) | |||||||
\(458\) | −4146.78 | − | 3847.65i | −0.423070 | − | 0.392552i | ||||
\(459\) | 12334.5 | − | 1859.12i | 1.25430 | − | 0.189055i | ||||
\(460\) | 3668.74 | − | 48956.0i | 0.371861 | − | 4.96214i | ||||
\(461\) | 795.995 | − | 2028.16i | 0.0804190 | − | 0.204904i | −0.885009 | − | 0.465574i | \(-0.845848\pi\) |
0.965428 | + | 0.260669i | \(0.0839433\pi\) | |||||||
\(462\) | 2143.86 | + | 9392.85i | 0.215890 | + | 0.945877i | ||||
\(463\) | −207.320 | − | 2766.49i | −0.0208099 | − | 0.277689i | −0.997896 | − | 0.0648422i | \(-0.979346\pi\) |
0.977086 | − | 0.212847i | \(-0.0682734\pi\) | |||||||
\(464\) | 8617.03 | + | 2658.00i | 0.862146 | + | 0.265937i | ||||
\(465\) | −9453.35 | + | 4552.50i | −0.942772 | + | 0.454015i | ||||
\(466\) | −2599.07 | + | 4501.72i | −0.258368 | + | 0.447507i | ||||
\(467\) | 2106.15 | + | 3647.97i | 0.208696 | + | 0.361473i | 0.951304 | − | 0.308254i | \(-0.0997446\pi\) |
−0.742608 | + | 0.669727i | \(0.766411\pi\) | |||||||
\(468\) | −782.010 | − | 533.165i | −0.0772402 | − | 0.0526615i | ||||
\(469\) | 100.969 | − | 442.373i | 0.00994094 | − | 0.0435541i | ||||
\(470\) | 13941.9 | + | 2101.41i | 1.36828 | + | 0.206236i | ||||
\(471\) | −486.796 | − | 610.423i | −0.0476229 | − | 0.0597172i | ||||
\(472\) | −1095.39 | −0.106820 | ||||||||
\(473\) | 777.075 | + | 3691.89i | 0.0755390 | + | 0.358887i | ||||
\(474\) | 9764.08 | 0.946158 | ||||||||
\(475\) | 891.349 | + | 1117.72i | 0.0861008 | + | 0.107967i | ||||
\(476\) | −39122.3 | − | 5896.73i | −3.76715 | − | 0.567807i | ||||
\(477\) | 16.5402 | − | 72.4674i | 0.00158768 | − | 0.00695609i | ||||
\(478\) | −17140.8 | − | 11686.4i | −1.64017 | − | 1.11825i | ||||
\(479\) | −8850.08 | − | 15328.8i | −0.844197 | − | 1.46219i | −0.886317 | − | 0.463080i | \(-0.846744\pi\) |
0.0421196 | − | 0.999113i | \(-0.486589\pi\) | |||||||
\(480\) | 1436.46 | − | 2488.02i | 0.136594 | − | 0.236588i | ||||
\(481\) | −12467.5 | + | 6004.01i | −1.18184 | + | 0.569146i | ||||
\(482\) | −32576.7 | − | 10048.6i | −3.07848 | − | 0.949587i | ||||
\(483\) | −2165.54 | − | 28897.1i | −0.204007 | − | 2.72228i | ||||
\(484\) | 3987.66 | + | 17471.1i | 0.374499 | + | 1.64079i | ||||
\(485\) | −1356.89 | + | 3457.30i | −0.127038 | + | 0.323687i | ||||
\(486\) | 118.783 | − | 1585.06i | 0.0110867 | − | 0.147941i | ||||
\(487\) | −15439.9 | + | 2327.19i | −1.43665 | + | 0.216540i | −0.820752 | − | 0.571285i | \(-0.806445\pi\) |
−0.615899 | + | 0.787825i | \(0.711207\pi\) | |||||||
\(488\) | −5784.54 | − | 5367.27i | −0.536585 | − | 0.497878i | ||||
\(489\) | 772.462 | + | 371.998i | 0.0714355 | + | 0.0344015i | ||||
\(490\) | −28404.0 | + | 19365.5i | −2.61870 | + | 1.78540i | ||||
\(491\) | 6899.09 | + | 17578.6i | 0.634117 | + | 1.61570i | 0.779552 | + | 0.626337i | \(0.215447\pi\) |
−0.145435 | + | 0.989368i | \(0.546458\pi\) | |||||||
\(492\) | 19736.7 | − | 6087.97i | 1.80854 | − | 0.557860i | ||||
\(493\) | 11231.9 | − | 10421.7i | 1.02609 | − | 0.952070i | ||||
\(494\) | −1656.47 | + | 2077.15i | −0.150867 | + | 0.189181i | ||||
\(495\) | 157.427 | − | 197.407i | 0.0142946 | − | 0.0179249i | ||||
\(496\) | −4802.98 | + | 4456.51i | −0.434799 | + | 0.403434i | ||||
\(497\) | 21541.4 | − | 6644.66i | 1.94420 | − | 0.599705i | ||||
\(498\) | 5713.60 | + | 14558.0i | 0.514122 | + | 1.30996i | ||||
\(499\) | −5544.12 | + | 3779.91i | −0.497372 | + | 0.339103i | −0.785884 | − | 0.618374i | \(-0.787792\pi\) |
0.288512 | + | 0.957476i | \(0.406839\pi\) | |||||||
\(500\) | 2501.39 | + | 1204.60i | 0.223731 | + | 0.107743i | ||||
\(501\) | 7396.87 | + | 6863.30i | 0.659617 | + | 0.612035i | ||||
\(502\) | −10187.7 | + | 1535.55i | −0.905779 | + | 0.136524i | ||||
\(503\) | −620.324 | + | 8277.64i | −0.0549878 | + | 0.733761i | 0.899768 | + | 0.436369i | \(0.143736\pi\) |
−0.954755 | + | 0.297392i | \(0.903883\pi\) | |||||||
\(504\) | −437.447 | + | 1114.60i | −0.0386616 | + | 0.0985080i | ||||
\(505\) | 3642.73 | + | 15959.8i | 0.320989 | + | 1.40634i | ||||
\(506\) | 947.909 | + | 12649.0i | 0.0832800 | + | 1.11129i | ||||
\(507\) | −2619.73 | − | 808.081i | −0.229480 | − | 0.0707852i | ||||
\(508\) | 33958.9 | − | 16353.7i | 2.96591 | − | 1.42831i | ||||
\(509\) | 1284.88 | − | 2225.48i | 0.111889 | − | 0.193797i | −0.804643 | − | 0.593759i | \(-0.797643\pi\) |
0.916532 | + | 0.399962i | \(0.130977\pi\) | |||||||
\(510\) | 18933.1 | + | 32793.1i | 1.64387 | + | 2.84726i | ||||
\(511\) | −699.888 | − | 477.176i | −0.0605895 | − | 0.0413092i | ||||
\(512\) | 3895.09 | − | 17065.5i | 0.336211 | − | 1.47304i | ||||
\(513\) | −1424.59 | − | 214.723i | −0.122607 | − | 0.0184800i | ||||
\(514\) | 4407.82 | + | 5527.24i | 0.378250 | + | 0.474311i | ||||
\(515\) | −10738.5 | −0.918823 | ||||||||
\(516\) | −8871.19 | + | 21523.6i | −0.756846 | + | 1.83629i | ||||
\(517\) | −2405.74 | −0.204651 | ||||||||
\(518\) | 22470.6 | + | 28177.3i | 1.90599 | + | 2.39004i | ||||
\(519\) | 352.232 | + | 53.0905i | 0.0297905 | + | 0.00449020i | ||||
\(520\) | −6868.45 | + | 30092.6i | −0.579234 | + | 2.53779i | ||||
\(521\) | 9983.72 | + | 6806.79i | 0.839529 | + | 0.572381i | 0.904970 | − | 0.425475i | \(-0.139893\pi\) |
−0.0654407 | + | 0.997856i | \(0.520845\pi\) | |||||||
\(522\) | −477.324 | − | 826.749i | −0.0400228 | − | 0.0693215i | ||||
\(523\) | 3671.83 | − | 6359.79i | 0.306994 | − | 0.531729i | −0.670709 | − | 0.741720i | \(-0.734010\pi\) |
0.977703 | + | 0.209991i | \(0.0673436\pi\) | |||||||
\(524\) | 25153.7 | − | 12113.4i | 2.09703 | − | 1.00988i | ||||
\(525\) | 19286.9 | + | 5949.21i | 1.60333 | + | 0.494562i | ||||
\(526\) | −1671.33 | − | 22302.4i | −0.138543 | − | 1.84873i | ||||
\(527\) | 2477.27 | + | 10853.6i | 0.204766 | + | 0.897137i | ||||
\(528\) | 1389.22 | − | 3539.68i | 0.114504 | − | 0.291752i | ||||
\(529\) | 1941.86 | − | 25912.3i | 0.159600 | − | 2.12972i | ||||
\(530\) | −4934.83 | + | 743.806i | −0.404444 | + | 0.0609601i | ||||
\(531\) | 25.5726 | + | 23.7279i | 0.00208993 | + | 0.00193917i | ||||
\(532\) | 4117.01 | + | 1982.65i | 0.335517 | + | 0.161576i | ||||
\(533\) | 10767.2 | − | 7340.96i | 0.875009 | − | 0.596571i | ||||
\(534\) | −12367.6 | − | 31512.1i | −1.00224 | − | 2.55368i | ||||
\(535\) | 12122.8 | − | 3739.40i | 0.979655 | − | 0.302184i | ||||
\(536\) | −436.391 | + | 404.912i | −0.0351665 | + | 0.0326297i | ||||
\(537\) | 5346.18 | − | 6703.90i | 0.429618 | − | 0.538724i | ||||
\(538\) | −11483.4 | + | 14399.7i | −0.920228 | + | 1.15393i | ||||
\(539\) | 4299.88 | − | 3989.71i | 0.343616 | − | 0.318829i | ||||
\(540\) | −32927.9 | + | 10156.9i | −2.62406 | + | 0.809414i | ||||
\(541\) | 3367.06 | + | 8579.13i | 0.267581 | + | 0.681785i | 1.00000 | 0.000930218i | \(0.000296098\pi\) | |
−0.732419 | + | 0.680854i | \(0.761609\pi\) | |||||||
\(542\) | 14772.2 | − | 10071.5i | 1.17070 | − | 0.798169i | ||||
\(543\) | 9193.42 | + | 4427.32i | 0.726570 | + | 0.349898i | ||||
\(544\) | −2234.52 | − | 2073.33i | −0.176111 | − | 0.163407i | ||||
\(545\) | −24635.4 | + | 3713.19i | −1.93627 | + | 0.291845i | ||||
\(546\) | −2803.04 | + | 37404.0i | −0.219706 | + | 2.93177i | ||||
\(547\) | −1699.80 | + | 4331.02i | −0.132867 | + | 0.338540i | −0.981788 | − | 0.189980i | \(-0.939158\pi\) |
0.848921 | + | 0.528520i | \(0.177253\pi\) | |||||||
\(548\) | −7513.72 | − | 32919.8i | −0.585712 | − | 2.56617i | ||||
\(549\) | 18.7803 | + | 250.605i | 0.00145997 | + | 0.0194819i | ||||
\(550\) | −8442.33 | − | 2604.12i | −0.654513 | − | 0.201891i | ||||
\(551\) | −1594.41 | + | 767.827i | −0.123274 | + | 0.0593658i | ||||
\(552\) | −19009.3 | + | 32925.1i | −1.46574 | + | 2.53874i | ||||
\(553\) | −5297.91 | − | 9176.25i | −0.407396 | − | 0.705631i | ||||
\(554\) | −19721.4 | − | 13445.8i | −1.51242 | − | 1.03115i | ||||
\(555\) | 5068.81 | − | 22207.9i | 0.387674 | − | 1.69851i | ||||
\(556\) | 3777.64 | + | 569.388i | 0.288143 | + | 0.0434306i | ||||
\(557\) | 8923.51 | + | 11189.7i | 0.678817 | + | 0.851210i | 0.995245 | − | 0.0974069i | \(-0.0310548\pi\) |
−0.316427 | + | 0.948617i | \(0.602483\pi\) | |||||||
\(558\) | 693.626 | 0.0526228 | ||||||||
\(559\) | −1345.70 | + | 14626.5i | −0.101820 | + | 1.10668i | ||||
\(560\) | 24184.1 | 1.82493 | ||||||||
\(561\) | −4028.37 | − | 5051.41i | −0.303169 | − | 0.380162i | ||||
\(562\) | 1020.97 | + | 153.887i | 0.0766317 | + | 0.0115504i | ||||
\(563\) | 745.646 | − | 3266.89i | 0.0558175 | − | 0.244552i | −0.939321 | − | 0.343040i | \(-0.888543\pi\) |
0.995138 | + | 0.0984877i | \(0.0314005\pi\) | |||||||
\(564\) | −12265.3 | − | 8362.34i | −0.915713 | − | 0.624322i | ||||
\(565\) | −9230.81 | − | 15988.2i | −0.687333 | − | 1.19050i | ||||
\(566\) | 6736.63 | − | 11668.2i | 0.500285 | − | 0.866520i | ||||
\(567\) | −19119.8 | + | 9207.62i | −1.41615 | + | 0.681982i | ||||
\(568\) | −28261.9 | − | 8717.63i | −2.08775 | − | 0.643985i | ||||
\(569\) | 897.891 | + | 11981.5i | 0.0661539 | + | 0.882762i | 0.927279 | + | 0.374370i | \(0.122141\pi\) |
−0.861126 | + | 0.508392i | \(0.830240\pi\) | |||||||
\(570\) | −973.179 | − | 4263.78i | −0.0715123 | − | 0.313316i | ||||
\(571\) | −1456.02 | + | 3709.88i | −0.106712 | + | 0.271898i | −0.974249 | − | 0.225475i | \(-0.927607\pi\) |
0.867537 | + | 0.497373i | \(0.165702\pi\) | |||||||
\(572\) | 810.270 | − | 10812.3i | 0.0592292 | − | 0.790358i | ||||
\(573\) | 16369.5 | − | 2467.30i | 1.19345 | − | 0.179883i | ||||
\(574\) | −24880.0 | − | 23085.3i | −1.80918 | − | 1.67868i | ||||
\(575\) | 23941.6 | + | 11529.7i | 1.73641 | + | 0.836211i | ||||
\(576\) | −570.314 | + | 388.833i | −0.0412553 | + | 0.0281274i | ||||
\(577\) | −4494.52 | − | 11451.9i | −0.324280 | − | 0.826252i | −0.996318 | − | 0.0857350i | \(-0.972676\pi\) |
0.672038 | − | 0.740517i | \(-0.265419\pi\) | |||||||
\(578\) | 15606.3 | − | 4813.91i | 1.12307 | − | 0.346422i | ||||
\(579\) | −7212.17 | + | 6691.92i | −0.517664 | + | 0.480322i | ||||
\(580\) | −26390.7 | + | 33092.9i | −1.88933 | + | 2.36915i | ||||
\(581\) | 10581.4 | − | 13268.7i | 0.755579 | − | 0.947466i | ||||
\(582\) | 4340.64 | − | 4027.53i | 0.309150 | − | 0.286849i | ||||
\(583\) | 813.695 | − | 250.992i | 0.0578041 | − | 0.0178302i | ||||
\(584\) | 406.020 | + | 1034.52i | 0.0287692 | + | 0.0733028i | ||||
\(585\) | 812.205 | − | 553.752i | 0.0574026 | − | 0.0391364i | ||||
\(586\) | 31116.0 | + | 14984.7i | 2.19350 | + | 1.05633i | ||||
\(587\) | −1561.62 | − | 1448.97i | −0.109804 | − | 0.101883i | 0.623360 | − | 0.781935i | \(-0.285767\pi\) |
−0.733165 | + | 0.680051i | \(0.761957\pi\) | |||||||
\(588\) | 35790.5 | − | 5394.54i | 2.51016 | − | 0.378346i | ||||
\(589\) | 96.0877 | − | 1282.20i | 0.00672194 | − | 0.0896981i | ||||
\(590\) | 855.692 | − | 2180.27i | 0.0597089 | − | 0.152136i | ||||
\(591\) | 223.893 | + | 980.938i | 0.0155833 | + | 0.0682748i | ||||
\(592\) | −1062.99 | − | 14184.7i | −0.0737986 | − | 0.984773i | ||||
\(593\) | −14911.6 | − | 4599.60i | −1.03262 | − | 0.318521i | −0.268285 | − | 0.963340i | \(-0.586457\pi\) |
−0.764336 | + | 0.644818i | \(0.776933\pi\) | |||||||
\(594\) | 8021.56 | − | 3862.98i | 0.554089 | − | 0.266835i | ||||
\(595\) | 20545.9 | − | 35586.5i | 1.41563 | − | 2.45194i | ||||
\(596\) | −8887.47 | − | 15393.6i | −0.610814 | − | 1.05796i | ||||
\(597\) | −252.459 | − | 172.124i | −0.0173073 | − | 0.0117999i | ||||
\(598\) | −10988.8 | + | 48145.2i | −0.751449 | + | 3.29231i | ||||
\(599\) | 1672.05 | + | 252.021i | 0.114054 | + | 0.0171908i | 0.205821 | − | 0.978590i | \(-0.434014\pi\) |
−0.0917675 | + | 0.995780i | \(0.529252\pi\) | |||||||
\(600\) | −16510.2 | − | 20703.2i | −1.12338 | − | 1.40867i | ||||
\(601\) | −8333.53 | −0.565610 | −0.282805 | − | 0.959177i | \(-0.591265\pi\) | ||||
−0.282805 | + | 0.959177i | \(0.591265\pi\) | |||||||
\(602\) | 37919.1 | − | 5059.81i | 2.56722 | − | 0.342562i | ||||
\(603\) | 18.9589 | 0.00128038 | ||||||||
\(604\) | −13516.6 | − | 16949.3i | −0.910569 | − | 1.14182i | ||||
\(605\) | −18404.4 | − | 2774.02i | −1.23677 | − | 0.186413i | ||||
\(606\) | 5807.64 | − | 25444.9i | 0.389305 | − | 1.70566i | ||||
\(607\) | −14707.5 | − | 10027.4i | −0.983457 | − | 0.670510i | −0.0390328 | − | 0.999238i | \(-0.512428\pi\) |
−0.944425 | + | 0.328728i | \(0.893380\pi\) | |||||||
\(608\) | 176.031 | + | 304.895i | 0.0117418 | + | 0.0203374i | ||||
\(609\) | −12492.2 | + | 21637.2i | −0.831216 | + | 1.43971i | ||||
\(610\) | 15201.8 | − | 7320.81i | 1.00902 | − | 0.485919i | ||||
\(611\) | −8949.99 | − | 2760.71i | −0.592598 | − | 0.182792i | ||||
\(612\) | −123.536 | − | 1648.48i | −0.00815958 | − | 0.108882i | ||||
\(613\) | 2896.30 | + | 12689.5i | 0.190833 | + | 0.836092i | 0.976167 | + | 0.217021i | \(0.0696339\pi\) |
−0.785334 | + | 0.619072i | \(0.787509\pi\) | |||||||
\(614\) | −6496.75 | + | 16553.4i | −0.427015 | + | 1.08802i | ||||
\(615\) | −1603.10 | + | 21391.9i | −0.105111 | + | 1.40261i | ||||
\(616\) | −13563.6 | + | 2044.39i | −0.887166 | + | 0.133719i | ||||
\(617\) | 10473.0 | + | 9717.51i | 0.683349 | + | 0.634055i | 0.943446 | − | 0.331527i | \(-0.107564\pi\) |
−0.260096 | + | 0.965583i | \(0.583754\pi\) | |||||||
\(618\) | 15425.0 | + | 7428.28i | 1.00402 | + | 0.483510i | ||||
\(619\) | −16682.8 | + | 11374.2i | −1.08326 | + | 0.738556i | −0.967029 | − | 0.254666i | \(-0.918034\pi\) |
−0.116233 | + | 0.993222i | \(0.537082\pi\) | |||||||
\(620\) | −11235.7 | − | 28628.2i | −0.727804 | − | 1.85441i | ||||
\(621\) | −25589.3 | + | 7893.25i | −1.65356 | + | 0.510057i | ||||
\(622\) | 26594.6 | − | 24676.2i | 1.71439 | − | 1.59072i | ||||
\(623\) | −22904.4 | + | 28721.3i | −1.47295 | + | 1.84702i | ||||
\(624\) | 9230.23 | − | 11574.3i | 0.592156 | − | 0.742540i | ||||
\(625\) | 10352.3 | − | 9605.55i | 0.662549 | − | 0.614755i | ||||
\(626\) | −29474.4 | + | 9091.64i | −1.88184 | + | 0.580472i | ||||
\(627\) | 272.627 | + | 694.641i | 0.0173647 | + | 0.0442445i | ||||
\(628\) | 1890.82 | − | 1289.14i | 0.120147 | − | 0.0819145i | ||||
\(629\) | −21775.6 | − | 10486.6i | −1.38037 | − | 0.664750i | ||||
\(630\) | −1876.78 | − | 1741.40i | −0.118687 | − | 0.110125i | ||||
\(631\) | 16792.1 | − | 2531.01i | 1.05940 | − | 0.159679i | 0.403848 | − | 0.914826i | \(-0.367672\pi\) |
0.655556 | + | 0.755147i | \(0.272434\pi\) | |||||||
\(632\) | −1038.86 | + | 13862.6i | −0.0653853 | + | 0.872507i | ||||
\(633\) | −1395.23 | + | 3554.98i | −0.0876072 | + | 0.223219i | ||||
\(634\) | −2629.07 | − | 11518.7i | −0.164690 | − | 0.721554i | ||||
\(635\) | 2925.45 | + | 39037.4i | 0.182823 | + | 2.43961i | ||||
\(636\) | 5020.94 | + | 1548.75i | 0.313040 | + | 0.0965599i | ||||
\(637\) | 20575.1 | − | 9908.43i | 1.27977 | − | 0.616305i | ||||
\(638\) | 5468.15 | − | 9471.11i | 0.339320 | − | 0.587719i | ||||
\(639\) | 470.955 | + | 815.717i | 0.0291560 | + | 0.0504996i | ||||
\(640\) | 34712.7 | + | 23666.7i | 2.14397 | + | 1.46173i | ||||
\(641\) | 3925.22 | − | 17197.5i | 0.241867 | − | 1.05969i | −0.697448 | − | 0.716635i | \(-0.745681\pi\) |
0.939316 | − | 0.343054i | \(-0.111462\pi\) | |||||||
\(642\) | −20000.2 | − | 3014.55i | −1.22951 | − | 0.185319i | ||||
\(643\) | 14417.6 | + | 18079.1i | 0.884251 | + | 1.10882i | 0.993390 | + | 0.114790i | \(0.0366194\pi\) |
−0.109138 | + | 0.994027i | \(0.534809\pi\) | |||||||
\(644\) | 84937.2 | 5.19719 | ||||||||
\(645\) | −17443.3 | − | 16743.9i | −1.06485 | − | 1.02216i | ||||
\(646\) | −4640.32 | −0.282618 | ||||||||
\(647\) | 6430.73 | + | 8063.87i | 0.390754 | + | 0.489990i | 0.937831 | − | 0.347092i | \(-0.112831\pi\) |
−0.547077 | + | 0.837082i | \(0.684259\pi\) | |||||||
\(648\) | 27531.0 | + | 4149.63i | 1.66901 | + | 0.251563i | ||||
\(649\) | −88.9278 | + | 389.618i | −0.00537862 | + | 0.0235653i | ||||
\(650\) | −28419.3 | − | 19376.0i | −1.71492 | − | 1.16921i | ||||
\(651\) | −9076.57 | − | 15721.1i | −0.546450 | − | 0.946479i | ||||
\(652\) | −1256.51 | + | 2176.33i | −0.0754733 | + | 0.130724i | ||||
\(653\) | 20930.5 | − | 10079.6i | 1.25433 | − | 0.604052i | 0.315658 | − | 0.948873i | \(-0.397775\pi\) |
0.938669 | + | 0.344821i | \(0.112060\pi\) | |||||||
\(654\) | 37955.4 | + | 11707.7i | 2.26938 | + | 0.700011i | ||||
\(655\) | 2166.91 | + | 28915.4i | 0.129264 | + | 1.72491i | ||||
\(656\) | 2980.82 | + | 13059.8i | 0.177411 | + | 0.777287i | ||||
\(657\) | 12.9306 | − | 32.9467i | 0.000767841 | − | 0.00195643i | ||||
\(658\) | −1822.94 | + | 24325.4i | −0.108002 | + | 1.44119i | ||||
\(659\) | −19277.0 | + | 2905.54i | −1.13949 | + | 0.171751i | −0.691562 | − | 0.722317i | \(-0.743077\pi\) |
−0.447931 | + | 0.894068i | \(0.647839\pi\) | |||||||
\(660\) | 13083.9 | + | 12140.0i | 0.771649 | + | 0.715986i | ||||
\(661\) | −28772.1 | − | 13855.9i | −1.69305 | − | 0.815329i | −0.995066 | − | 0.0992139i | \(-0.968367\pi\) |
−0.697982 | − | 0.716115i | \(-0.745919\pi\) | |||||||
\(662\) | −8234.20 | + | 5613.98i | −0.483431 | + | 0.329597i | ||||
\(663\) | −9189.83 | − | 23415.3i | −0.538316 | − | 1.37161i | ||||
\(664\) | −21276.7 | + | 6562.99i | −1.24352 | + | 0.383575i | ||||
\(665\) | −3479.05 | + | 3228.08i | −0.202875 | + | 0.188240i | ||||
\(666\) | −938.887 | + | 1177.33i | −0.0546263 | + | 0.0684993i | ||||
\(667\) | −20509.0 | + | 25717.5i | −1.19057 | + | 1.49293i | ||||
\(668\) | −21680.8 | + | 20116.9i | −1.25577 | + | 1.16519i | ||||
\(669\) | −162.393 | + | 50.0915i | −0.00938484 | + | 0.00289484i | ||||
\(670\) | −465.041 | − | 1184.91i | −0.0268151 | − | 0.0683238i | ||||
\(671\) | −2378.70 | + | 1621.77i | −0.136853 | + | 0.0933050i | ||||
\(672\) | 4478.26 | + | 2156.61i | 0.257072 | + | 0.123799i | ||||
\(673\) | −23256.1 | − | 21578.5i | −1.33203 | − | 1.23594i | −0.950174 | − | 0.311720i | \(-0.899095\pi\) |
−0.381855 | − | 0.924222i | \(-0.624715\pi\) | |||||||
\(674\) | 35151.9 | − | 5298.30i | 2.00890 | − | 0.302793i | ||||
\(675\) | 1393.86 | − | 18599.7i | 0.0794808 | − | 1.06060i | ||||
\(676\) | 2935.75 | − | 7480.17i | 0.167032 | − | 0.425590i | ||||
\(677\) | 4849.03 | + | 21245.0i | 0.275278 | + | 1.20607i | 0.903688 | + | 0.428191i | \(0.140849\pi\) |
−0.628410 | + | 0.777882i | \(0.716294\pi\) | |||||||
\(678\) | 2199.57 | + | 29351.2i | 0.124593 | + | 1.66258i | ||||
\(679\) | −6140.26 | − | 1894.02i | −0.347042 | − | 0.107048i | ||||
\(680\) | −48572.5 | + | 23391.3i | −2.73922 | + | 1.31914i | ||||
\(681\) | 13137.9 | − | 22755.5i | 0.739274 | − | 1.28046i | ||||
\(682\) | 3973.04 | + | 6881.50i | 0.223072 | + | 0.386373i | ||||
\(683\) | 4808.21 | + | 3278.18i | 0.269372 | + | 0.183654i | 0.690471 | − | 0.723360i | \(-0.257403\pi\) |
−0.421099 | + | 0.907014i | \(0.638356\pi\) | |||||||
\(684\) | −42.4855 | + | 186.141i | −0.00237496 | + | 0.0104054i | ||||
\(685\) | 34678.4 | + | 5226.93i | 1.93430 | + | 0.291549i | ||||
\(686\) | −8069.14 | − | 10118.4i | −0.449098 | − | 0.563151i | ||||
\(687\) | −6185.87 | −0.343531 | ||||||||
\(688\) | −13490.5 | − | 6780.65i | −0.747558 | − | 0.375741i | ||||
\(689\) | 3315.18 | 0.183307 | ||||||||
\(690\) | −50684.7 | − | 63556.6i | −2.79643 | − | 3.50661i | ||||
\(691\) | 28353.2 | + | 4273.56i | 1.56094 | + | 0.235274i | 0.871985 | − | 0.489533i | \(-0.162833\pi\) |
0.688953 | + | 0.724806i | \(0.258071\pi\) | |||||||
\(692\) | −232.330 | + | 1017.90i | −0.0127628 | + | 0.0559175i | ||||
\(693\) | 360.937 | + | 246.083i | 0.0197848 | + | 0.0134891i | ||||
\(694\) | 510.347 | + | 883.948i | 0.0279143 | + | 0.0483490i | ||||
\(695\) | −1983.91 | + | 3436.23i | −0.108279 | + | 0.187545i | ||||
\(696\) | 29532.8 | − | 14222.3i | 1.60839 | − | 0.774560i | ||||
\(697\) | 21749.8 | + | 6708.91i | 1.18197 | + | 0.364588i | ||||
\(698\) | 2895.13 | + | 38632.8i | 0.156994 | + | 2.09495i | ||||
\(699\) | 1264.86 | + | 5541.73i | 0.0684428 | + | 0.299868i | ||||
\(700\) | −21613.4 | + | 55070.2i | −1.16702 | + | 2.97351i | ||||
\(701\) | 1117.99 | − | 14918.5i | 0.0602365 | − | 0.803800i | −0.882511 | − | 0.470292i | \(-0.844148\pi\) |
0.942747 | − | 0.333508i | \(-0.108232\pi\) | |||||||
\(702\) | 34275.3 | − | 5166.16i | 1.84279 | − | 0.277755i | ||||
\(703\) | 2046.28 | + | 1898.67i | 0.109782 | + | 0.101863i | ||||
\(704\) | −7124.35 | − | 3430.91i | −0.381405 | − | 0.183675i | ||||
\(705\) | 12738.9 | − | 8685.22i | 0.680531 | − | 0.463978i | ||||
\(706\) | −16200.5 | − | 41278.2i | −0.863618 | − | 2.20046i | ||||
\(707\) | −27064.2 | + | 8348.21i | −1.43968 | + | 0.444083i | ||||
\(708\) | −1807.69 | + | 1677.29i | −0.0959566 | + | 0.0890347i | ||||
\(709\) | 2426.14 | − | 3042.28i | 0.128513 | − | 0.161150i | −0.713412 | − | 0.700745i | \(-0.752851\pi\) |
0.841925 | + | 0.539595i | \(0.181423\pi\) | |||||||
\(710\) | 39429.2 | − | 49442.6i | 2.08416 | − | 2.61345i | ||||
\(711\) | 324.539 | − | 301.129i | 0.0171184 | − | 0.0158835i | ||||
\(712\) | 46055.3 | − | 14206.2i | 2.42415 | − | 0.747752i | ||||
\(713\) | −8731.65 | − | 22247.9i | −0.458630 | − | 1.16857i | ||||
\(714\) | −54129.4 | + | 36904.8i | −2.83717 | + | 1.93435i | ||||
\(715\) | 10146.1 | + | 4886.08i | 0.530687 | + | 0.255565i | ||||
\(716\) | 18423.7 | + | 17094.7i | 0.961628 | + | 0.892260i | ||||
\(717\) | −22432.2 | + | 3381.11i | −1.16841 | + | 0.176109i | ||||
\(718\) | −2371.99 | + | 31652.0i | −0.123289 | + | 1.64518i | ||||
\(719\) | 11900.7 | − | 30322.6i | 0.617277 | − | 1.57280i | −0.189461 | − | 0.981888i | \(-0.560674\pi\) |
0.806738 | − | 0.590909i | \(-0.201231\pi\) | |||||||
\(720\) | 224.853 | + | 985.144i | 0.0116386 | + | 0.0509919i | ||||
\(721\) | −1388.40 | − | 18526.9i | −0.0717152 | − | 0.956973i | ||||
\(722\) | −31298.9 | − | 9654.43i | −1.61333 | − | 0.497646i | ||||
\(723\) | −33587.5 | + | 16174.9i | −1.72771 | + | 0.832021i | ||||
\(724\) | −14954.3 | + | 25901.5i | −0.767639 | + | 1.32959i | ||||
\(725\) | −11455.5 | − | 19841.5i | −0.586822 | − | 1.01641i | ||||
\(726\) | 24517.6 | + | 16715.8i | 1.25335 | + | 0.854522i | ||||
\(727\) | 4973.87 | − | 21792.0i | 0.253742 | − | 1.11172i | −0.674069 | − | 0.738668i | \(-0.735455\pi\) |
0.927811 | − | 0.373050i | \(-0.121688\pi\) | |||||||
\(728\) | −52806.3 | − | 7959.27i | −2.68837 | − | 0.405206i | ||||
\(729\) | 11696.3 | + | 14666.8i | 0.594236 | + | 0.745148i | ||||
\(730\) | −2376.30 | −0.120480 | ||||||||
\(731\) | −21438.7 | + | 14090.5i | −1.08473 | + | 0.712935i | ||||
\(732\) | −17764.7 | −0.896995 | ||||||||
\(733\) | −4922.43 | − | 6172.53i | −0.248041 | − | 0.311034i | 0.642188 | − | 0.766547i | \(-0.278027\pi\) |
−0.890229 | + | 0.455514i | \(0.849456\pi\) | |||||||
\(734\) | −36009.2 | − | 5427.51i | −1.81079 | − | 0.272933i | ||||
\(735\) | −8365.07 | + | 36649.8i | −0.419796 | + | 1.83925i | ||||
\(736\) | 5406.93 | + | 3686.38i | 0.270791 | + | 0.184622i | ||||
\(737\) | 108.595 | + | 188.093i | 0.00542762 | + | 0.00940092i | ||||
\(738\) | 709.061 | − | 1228.13i | 0.0353671 | − | 0.0612576i | ||||
\(739\) | −18013.0 | + | 8674.58i | −0.896641 | + | 0.431799i | −0.824674 | − | 0.565608i | \(-0.808642\pi\) |
−0.0719661 | + | 0.997407i | \(0.522927\pi\) | |||||||
\(740\) | 63800.8 | + | 19679.9i | 3.16941 | + | 0.977634i | ||||
\(741\) | 217.108 | + | 2897.10i | 0.0107634 | + | 0.143627i | ||||
\(742\) | −1921.31 | − | 8417.79i | −0.0950585 | − | 0.416478i | ||||
\(743\) | 10832.3 | − | 27600.4i | 0.534859 | − | 1.36280i | −0.366780 | − | 0.930308i | \(-0.619540\pi\) |
0.901639 | − | 0.432490i | \(-0.142365\pi\) | |||||||
\(744\) | −1779.81 | + | 23749.9i | −0.0877029 | + | 1.17031i | ||||
\(745\) | 18255.1 | − | 2751.51i | 0.897737 | − | 0.135312i | ||||
\(746\) | −829.811 | − | 769.953i | −0.0407259 | − | 0.0377882i | ||||
\(747\) | 638.885 | + | 307.671i | 0.0312926 | + | 0.0150697i | ||||
\(748\) | 15647.1 | − | 10668.0i | 0.764857 | − | 0.521471i | ||||
\(749\) | 8018.89 | + | 20431.8i | 0.391193 | + | 0.996745i | ||||
\(750\) | 4392.99 | − | 1355.06i | 0.213879 | − | 0.0659730i | ||||
\(751\) | 11841.4 | − | 10987.2i | 0.575363 | − | 0.533858i | −0.337925 | − | 0.941173i | \(-0.609725\pi\) |
0.913288 | + | 0.407314i | \(0.133535\pi\) | |||||||
\(752\) | 6002.82 | − | 7527.29i | 0.291091 | − | 0.365016i | ||||
\(753\) | −7024.41 | + | 8808.33i | −0.339952 | + | 0.426286i | ||||
\(754\) | 31211.5 | − | 28960.0i | 1.50750 | − | 1.39876i | ||||
\(755\) | 21515.7 | − | 6636.73i | 1.03714 | − | 0.319914i | ||||
\(756\) | −21780.8 | − | 55496.6i | −1.04783 | − | 2.66983i | ||||
\(757\) | 32167.3 | − | 21931.3i | 1.54444 | − | 1.05298i | 0.571875 | − | 0.820340i | \(-0.306216\pi\) |
0.972563 | − | 0.232640i | \(-0.0747363\pi\) | |||||||
\(758\) | −31648.7 | − | 15241.2i | −1.51654 | − | 0.730325i | ||||
\(759\) | 10167.9 | + | 9434.41i | 0.486259 | + | 0.451182i | ||||
\(760\) | 6157.06 | − | 928.027i | 0.293868 | − | 0.0442935i | ||||
\(761\) | −3039.09 | + | 40553.8i | −0.144766 | + | 1.93177i | 0.175578 | + | 0.984466i | \(0.443821\pi\) |
−0.320344 | + | 0.947301i | \(0.603798\pi\) | |||||||
\(762\) | 22801.7 | − | 58097.8i | 1.08401 | − | 2.76202i | ||||
\(763\) | −9591.46 | − | 42022.9i | −0.455091 | − | 1.99388i | ||||
\(764\) | 3626.07 | + | 48386.5i | 0.171710 | + | 2.29131i | ||||
\(765\) | 1640.65 | + | 506.075i | 0.0775398 | + | 0.0239179i | ||||
\(766\) | 33976.3 | − | 16362.1i | 1.60263 | − | 0.771784i | ||||
\(767\) | −777.941 | + | 1347.43i | −0.0366230 | + | 0.0634328i | ||||
\(768\) | −20944.5 | − | 36277.0i | −0.984076 | − | 1.70447i | ||||
\(769\) | 802.894 | + | 547.404i | 0.0376503 | + | 0.0256696i | 0.581999 | − | 0.813190i | \(-0.302271\pi\) |
−0.544349 | + | 0.838859i | \(0.683223\pi\) | |||||||
\(770\) | 6526.44 | − | 28594.2i | 0.305450 | − | 1.33827i | ||||
\(771\) | 7644.36 | + | 1152.20i | 0.357075 | + | 0.0538204i | ||||
\(772\) | −17979.9 | − | 22546.1i | −0.838228 | − | 1.05110i | ||||
\(773\) | −15680.2 | −0.729596 | −0.364798 | − | 0.931087i | \(-0.618862\pi\) | ||||
−0.364798 | + | 0.931087i | \(0.618862\pi\) | |||||||
\(774\) | 558.667 | + | 1497.60i | 0.0259443 | + | 0.0695479i | ||||
\(775\) | 16646.6 | 0.771566 | ||||||||
\(776\) | 5256.27 | + | 6591.15i | 0.243156 | + | 0.304908i | ||||
\(777\) | 38970.2 | + | 5873.82i | 1.79929 | + | 0.271199i | ||||
\(778\) | −8889.50 | + | 38947.4i | −0.409645 | + | 1.79477i | ||||
\(779\) | −2172.03 | − | 1480.87i | −0.0998988 | − | 0.0681098i | ||||
\(780\) | 34744.1 | + | 60178.5i | 1.59492 | + | 2.76248i | ||||
\(781\) | −5395.19 | + | 9344.74i | −0.247189 | + | 0.428145i | ||||
\(782\) | −77711.2 | + | 37423.7i | −3.55364 | + | 1.71134i | ||||
\(783\) | 22062.7 | + | 6805.43i | 1.00697 | + | 0.310608i | ||||
\(784\) | 1754.26 | + | 23409.0i | 0.0799135 | + | 1.06637i | ||||
\(785\) | 528.895 | + | 2317.24i | 0.0240472 | + | 0.105358i | ||||
\(786\) | 16889.5 | − | 43033.7i | 0.766448 | − | 1.95288i | ||||
\(787\) | −731.595 | + | 9762.46i | −0.0331367 | + | 0.442178i | 0.955818 | + | 0.293959i | \(0.0949730\pi\) |
−0.988955 | + | 0.148219i | \(0.952646\pi\) | |||||||
\(788\) | −2916.21 | + | 439.547i | −0.131834 | + | 0.0198708i | ||||
\(789\) | −17927.8 | − | 16634.6i | −0.808931 | − | 0.750578i | ||||
\(790\) | −26780.7 | − | 12896.9i | −1.20609 | − | 0.580824i | ||||
\(791\) | 26390.7 | − | 17992.9i | 1.18628 | − | 0.808791i | ||||
\(792\) | −209.387 | − | 533.510i | −0.00939426 | − | 0.0239362i | ||||
\(793\) | −10710.4 | + | 3303.73i | −0.479620 | + | 0.147943i | ||||
\(794\) | 29439.1 | − | 27315.5i | 1.31581 | − | 1.22090i | ||||
\(795\) | −3402.55 | + | 4266.66i | −0.151794 | + | 0.190343i | ||||
\(796\) | 558.396 | − | 700.206i | 0.0248641 | − | 0.0311786i | ||||
\(797\) | 27997.9 | − | 25978.2i | 1.24434 | − | 1.15458i | 0.262483 | − | 0.964937i | \(-0.415459\pi\) |
0.981854 | − | 0.189639i | \(-0.0607317\pi\) | |||||||
\(798\) | 7230.39 | − | 2230.28i | 0.320743 | − | 0.0989361i | ||||
\(799\) | −5976.54 | − | 15228.0i | −0.264624 | − | 0.674252i | ||||
\(800\) | −3765.98 | + | 2567.60i | −0.166435 | + | 0.113473i | ||||
\(801\) | −1382.92 | − | 665.981i | −0.0610027 | − | 0.0293774i | ||||
\(802\) | 48703.2 | + | 45189.9i | 2.14435 | + | 1.98967i | ||||
\(803\) | 400.932 | − | 60.4307i | 0.0176196 | − | 0.00265573i | ||||
\(804\) | −100.152 | + | 1336.44i | −0.00439315 | + | 0.0586225i | ||||
\(805\) | −32229.2 | + | 82118.7i | −1.41109 | + | 3.59541i | ||||
\(806\) | 6883.88 | + | 30160.2i | 0.300836 | + | 1.31805i | ||||
\(807\) | 1505.08 | + | 20083.9i | 0.0656522 | + | 0.876068i | ||||
\(808\) | 35507.6 | + | 10952.6i | 1.54598 | + | 0.476872i | ||||
\(809\) | 23411.5 | − | 11274.4i | 1.01743 | − | 0.489971i | 0.150615 | − | 0.988592i | \(-0.451875\pi\) |
0.866820 | + | 0.498622i | \(0.166160\pi\) | |||||||
\(810\) | −29766.1 | + | 51556.3i | −1.29120 | + | 2.23643i | ||||
\(811\) | −6029.36 | − | 10443.2i | −0.261060 | − | 0.452169i | 0.705464 | − | 0.708746i | \(-0.250739\pi\) |
−0.966524 | + | 0.256577i | \(0.917405\pi\) | |||||||
\(812\) | −60506.6 | − | 41252.7i | −2.61498 | − | 1.78286i | ||||
\(813\) | 4350.45 | − | 19060.6i | 0.187671 | − | 0.822242i | ||||
\(814\) | −17058.2 | − | 2571.11i | −0.734509 | − | 0.110709i | ||||
\(815\) | −1627.34 | − | 2040.62i | −0.0699425 | − | 0.0877052i | ||||
\(816\) | 25856.9 | 1.10928 | ||||||||
\(817\) | 2845.78 | − | 825.262i | 0.121862 | − | 0.0353394i | ||||
\(818\) | −63783.1 | −2.72631 | ||||||||
\(819\) | 1060.39 | + | 1329.69i | 0.0452417 | + | 0.0567313i | ||||
\(820\) | −62174.8 | − | 9371.34i | −2.64785 | − | 0.399099i | ||||
\(821\) | −2298.21 | + | 10069.1i | −0.0976957 | + | 0.428033i | −0.999995 | − | 0.00307685i | \(-0.999021\pi\) |
0.902300 | + | 0.431110i | \(0.141878\pi\) | |||||||
\(822\) | −46197.2 | − | 31496.7i | −1.96023 | − | 1.33646i | ||||
\(823\) | −774.721 | − | 1341.86i | −0.0328130 | − | 0.0568337i | 0.849153 | − | 0.528148i | \(-0.177113\pi\) |
−0.881966 | + | 0.471314i | \(0.843780\pi\) | |||||||
\(824\) | −12187.5 | + | 21109.3i | −0.515256 | + | 0.892450i | ||||
\(825\) | −8704.29 | + | 4191.76i | −0.367326 | + | 0.176895i | ||||
\(826\) | 3872.21 | + | 1194.42i | 0.163113 | + | 0.0503137i | ||||
\(827\) | −2553.46 | − | 34073.5i | −0.107367 | − | 1.43271i | −0.747406 | − | 0.664368i | \(-0.768701\pi\) |
0.640039 | − | 0.768342i | \(-0.278918\pi\) | |||||||
\(828\) | 789.708 | + | 3459.94i | 0.0331452 | + | 0.145219i | ||||
\(829\) | −15000.4 | + | 38220.3i | −0.628450 | + | 1.60126i | 0.160659 | + | 0.987010i | \(0.448638\pi\) |
−0.789109 | + | 0.614254i | \(0.789457\pi\) | |||||||
\(830\) | 3557.85 | − | 47476.2i | 0.148789 | − | 1.98545i | ||||
\(831\) | −25809.5 | + | 3890.15i | −1.07740 | + | 0.162392i | ||||
\(832\) | −22567.3 | − | 20939.4i | −0.940362 | − | 0.872528i | ||||
\(833\) | 35936.4 | + | 17306.0i | 1.49474 | + | 0.719831i | ||||
\(834\) | 5226.73 | − | 3563.52i | 0.217011 | − | 0.147955i | ||||
\(835\) | −11222.6 | − | 28594.7i | −0.465118 | − | 1.18510i | ||||
\(836\) | −2090.07 | + | 644.702i | −0.0864673 | + | 0.0266716i | ||||
\(837\) | −12297.3 | + | 11410.3i | −0.507835 | + | 0.471202i | ||||
\(838\) | −22147.3 | + | 27771.8i | −0.912966 | + | 1.14482i | ||||
\(839\) | 8817.80 | − | 11057.2i | 0.362842 | − | 0.454989i | −0.566581 | − | 0.824006i | \(-0.691734\pi\) |
0.929423 | + | 0.369017i | \(0.120306\pi\) | |||||||
\(840\) | 64441.5 | − | 59793.0i | 2.64696 | − | 2.45602i | ||||
\(841\) | 3795.15 | − | 1170.65i | 0.155609 | − | 0.0479990i | ||||
\(842\) | 26671.6 | + | 67958.1i | 1.09164 | + | 2.78146i | ||||
\(843\) | 932.870 | − | 636.020i | 0.0381136 | − | 0.0259854i | ||||
\(844\) | −10085.2 | − | 4856.77i | −0.411311 | − | 0.198077i | ||||
\(845\) | 6117.99 | + | 5676.66i | 0.249071 | + | 0.231104i | ||||
\(846\) | −1007.85 | + | 151.909i | −0.0409582 | + | 0.00617346i | ||||
\(847\) | 2406.42 | − | 32111.5i | 0.0976218 | − | 1.30267i | ||||
\(848\) | −1245.01 | + | 3172.23i | −0.0504173 | + | 0.128461i | ||||
\(849\) | −3278.45 | − | 14363.8i | −0.132528 | − | 0.580642i | ||||
\(850\) | −4489.49 | − | 59908.1i | −0.181163 | − | 2.41745i | ||||
\(851\) | 49581.6 | + | 15293.9i | 1.99722 | + | 0.616061i | ||||
\(852\) | −59988.7 | + | 28889.0i | −2.41218 | + | 1.16165i | ||||
\(853\) | −18646.3 | + | 32296.3i | −0.748459 | + | 1.29637i | 0.200102 | + | 0.979775i | \(0.435873\pi\) |
−0.948561 | + | 0.316594i | \(0.897461\pi\) | |||||||
\(854\) | 14595.9 | + | 25280.9i | 0.584850 | + | 1.01299i | ||||
\(855\) | −163.843 | − | 111.707i | −0.00655360 | − | 0.00446817i | ||||
\(856\) | 6407.85 | − | 28074.6i | 0.255860 | − | 1.12099i | ||||
\(857\) | 5455.90 | + | 822.345i | 0.217468 | + | 0.0327780i | 0.256872 | − | 0.966445i | \(-0.417308\pi\) |
−0.0394045 | + | 0.999223i | \(0.512546\pi\) | |||||||
\(858\) | −11194.1 | − | 14037.0i | −0.445408 | − | 0.558524i | ||||
\(859\) | 35180.3 | 1.39737 | 0.698683 | − | 0.715431i | \(-0.253770\pi\) | ||||
0.698683 | + | 0.715431i | \(0.253770\pi\) | |||||||
\(860\) | 52761.2 | − | 47317.0i | 2.09203 | − | 1.87616i | ||||
\(861\) | −37114.2 | −1.46905 | ||||||||
\(862\) | 13110.4 | + | 16439.9i | 0.518031 | + | 0.649590i | ||||
\(863\) | −946.786 | − | 142.705i | −0.0373453 | − | 0.00562889i | 0.130343 | − | 0.991469i | \(-0.458392\pi\) |
−0.167688 | + | 0.985840i | \(0.553630\pi\) | |||||||
\(864\) | 1022.10 | − | 4478.12i | 0.0402461 | − | 0.176330i | ||||
\(865\) | −895.970 | − | 610.862i | −0.0352184 | − | 0.0240115i | ||||
\(866\) | −4098.64 | − | 7099.06i | −0.160829 | − | 0.278563i | ||||
\(867\) | 8929.57 | − | 15466.5i | 0.349786 | − | 0.605847i | ||||
\(868\) | 47939.0 | − | 23086.2i | 1.87460 | − | 0.902762i | ||||
\(869\) | 4846.45 | + | 1494.93i | 0.189188 | + | 0.0583569i | ||||
\(870\) | 5237.73 | + | 69892.6i | 0.204110 | + | 2.72366i | ||||
\(871\) | 188.157 | + | 824.372i | 0.00731972 | + | 0.0320698i | ||||
\(872\) | −20660.4 | + | 52641.7i | −0.802349 | + | 2.04435i | ||||
\(873\) | 20.0639 | − | 267.735i | 0.000777848 | − | 0.0103797i | ||||
\(874\) | 9850.67 | − | 1484.75i | 0.381240 | − | 0.0574627i | ||||
\(875\) | −3657.09 | − | 3393.28i | −0.141294 | − | 0.131101i | ||||
\(876\) | 2254.14 | + | 1085.54i | 0.0869411 | + | 0.0418686i | ||||
\(877\) | 2236.87 | − | 1525.07i | 0.0861273 | − | 0.0587206i | −0.519491 | − | 0.854476i | \(-0.673878\pi\) |
0.605618 | + | 0.795755i | \(0.292926\pi\) | |||||||
\(878\) | 25455.4 | + | 64859.4i | 0.978451 | + | 2.49305i | ||||
\(879\) | 36088.0 | − | 11131.7i | 1.38477 | − | 0.427146i | ||||
\(880\) | −8485.73 | + | 7873.61i | −0.325061 | + | 0.301613i | ||||
\(881\) | 6662.15 | − | 8354.07i | 0.254771 | − | 0.319473i | −0.637954 | − | 0.770074i | \(-0.720219\pi\) |
0.892725 | + | 0.450601i | \(0.148790\pi\) | |||||||
\(882\) | 1549.45 | − | 1942.95i | 0.0591526 | − | 0.0741751i | ||||
\(883\) | −5227.92 | + | 4850.81i | −0.199245 | + | 0.184873i | −0.773485 | − | 0.633815i | \(-0.781488\pi\) |
0.574240 | + | 0.818687i | \(0.305298\pi\) | |||||||
\(884\) | 70453.2 | − | 21731.9i | 2.68054 | − | 0.826837i | ||||
\(885\) | −935.712 | − | 2384.15i | −0.0355408 | − | 0.0905565i | ||||
\(886\) | −6307.77 | + | 4300.56i | −0.239180 | + | 0.163070i | ||||
\(887\) | −7380.32 | − | 3554.18i | −0.279376 | − | 0.134541i | 0.288949 | − | 0.957345i | \(-0.406694\pi\) |
−0.568325 | + | 0.822804i | \(0.692409\pi\) | |||||||
\(888\) | −37902.8 | − | 35168.7i | −1.43236 | − | 1.32903i | ||||
\(889\) | −66972.2 | + | 10094.4i | −2.52663 | + | 0.380828i | ||||
\(890\) | −7701.29 | + | 102767.i | −0.290054 | + | 3.87050i | ||||
\(891\) | 3711.06 | − | 9455.62i | 0.139534 | − | 0.355528i | ||||
\(892\) | −110.841 | − | 485.627i | −0.00416058 | − | 0.0182287i | ||||
\(893\) | 141.194 | + | 1884.11i | 0.00529103 | + | 0.0706039i | ||||
\(894\) | −28125.3 | − | 8675.52i | −1.05218 | − | 0.324556i | ||||
\(895\) | −23518.3 | + | 11325.8i | −0.878356 | + | 0.422994i | ||||
\(896\) | −36343.7 | + | 62949.1i | −1.35509 | + | 2.34708i | ||||
\(897\) | 27000.7 | + | 46766.6i | 1.00505 | + | 1.74079i | ||||
\(898\) | 39802.7 | + | 27137.0i | 1.47910 | + | 1.00843i | ||||
\(899\) | −4585.31 | + | 20089.5i | −0.170110 | + | 0.745299i | ||||
\(900\) | −2444.25 | − | 368.411i | −0.0905277 | − | 0.0136449i | ||||
\(901\) | 3610.19 | + | 4527.03i | 0.133488 | + | 0.167389i | ||||
\(902\) | 16245.8 | 0.599696 | ||||||||
\(903\) | 26632.7 | − | 32259.4i | 0.981484 | − | 1.18884i | ||||
\(904\) | −41905.5 | −1.54177 | ||||||||
\(905\) | −19367.7 | − | 24286.3i | −0.711385 | − | 0.892049i | ||||
\(906\) | −35496.6 | − | 5350.25i | −1.30165 | − | 0.196192i | ||||
\(907\) | 7378.56 | − | 32327.6i | 0.270123 | − | 1.18348i | −0.639746 | − | 0.768587i | \(-0.720960\pi\) |
0.909868 | − | 0.414898i | \(-0.136183\pi\) | |||||||
\(908\) | 63634.0 | + | 43384.9i | 2.32574 | + | 1.58566i | ||||
\(909\) | −591.698 | − | 1024.85i | −0.0215901 | − | 0.0373951i | ||||
\(910\) | 57093.3 | − | 98888.5i | 2.07981 | − | 3.60233i | ||||
\(911\) | −20703.3 | + | 9970.20i | −0.752944 | + | 0.362599i | −0.770662 | − | 0.637244i | \(-0.780074\pi\) |
0.0177180 | + | 0.999843i | \(0.494360\pi\) | |||||||
\(912\) | −2853.71 | − | 880.254i | −0.103614 | − | 0.0319607i | ||||
\(913\) | 607.066 | + | 8100.73i | 0.0220054 | + | 0.293642i | ||||
\(914\) | −20326.0 | − | 89054.0i | −0.735585 | − | 3.22281i | ||||
\(915\) | 6740.76 | − | 17175.2i | 0.243544 | − | 0.620539i | ||||
\(916\) | 1354.95 | − | 18080.6i | 0.0488743 | − | 0.652182i | ||||
\(917\) | −49607.0 | + | 7477.06i | −1.78644 | + | 0.269263i | ||||
\(918\) | 44379.9 | + | 41178.5i | 1.59559 | + | 1.48049i | ||||
\(919\) | 25334.2 | + | 12200.3i | 0.909356 | + | 0.437923i | 0.829259 | − | 0.558864i | \(-0.188763\pi\) |
0.0800971 | + | 0.996787i | \(0.474477\pi\) | |||||||
\(920\) | 95627.4 | − | 65197.7i | 3.42689 | − | 2.33642i | ||||
\(921\) | 7104.29 | + | 18101.4i | 0.254174 | + | 0.647625i | ||||
\(922\) | 10104.8 | − | 3116.92i | 0.360938 | − | 0.111335i | ||||
\(923\) | −30795.0 | + | 28573.6i | −1.09819 | + | 1.01897i | ||||
\(924\) | −19253.4 | + | 24142.9i | −0.685486 | + | 0.859572i | ||||
\(925\) | −22532.7 | + | 28255.2i | −0.800943 | + | 1.00435i | ||||
\(926\) | 9870.38 | − | 9158.37i | 0.350281 | − | 0.325014i | ||||
\(927\) | 741.789 | − | 228.811i | 0.0262821 | − | 0.00810696i | ||||
\(928\) | −2061.31 | − | 5252.13i | −0.0729157 | − | 0.185786i | ||||
\(929\) | −28550.8 | + | 19465.6i | −1.00831 | + | 0.687456i | −0.950453 | − | 0.310868i | \(-0.899380\pi\) |
−0.0578602 | + | 0.998325i | \(0.518428\pi\) | |||||||
\(930\) | −45881.7 | − | 22095.4i | −1.61776 | − | 0.779073i | ||||
\(931\) | −3376.99 | − | 3133.39i | −0.118879 | − | 0.110304i | ||||
\(932\) | −16474.9 | + | 2483.19i | −0.579026 | + | 0.0872742i | ||||
\(933\) | 2964.69 | − | 39561.1i | 0.104030 | − | 1.38818i | ||||
\(934\) | −7469.16 | + | 19031.1i | −0.261669 | + | 0.666721i | ||||
\(935\) | 4376.75 | + | 19175.8i | 0.153085 | + | 0.670711i | ||||
\(936\) | −166.747 | − | 2225.08i | −0.00582295 | − | 0.0777019i | ||||
\(937\) | 23308.1 | + | 7189.59i | 0.812638 | + | 0.250666i | 0.673100 | − | 0.739551i | \(-0.264962\pi\) |
0.139538 | + | 0.990217i | \(0.455438\pi\) | |||||||
\(938\) | 1984.17 | − | 955.526i | 0.0690676 | − | 0.0332612i | ||||
\(939\) | −16864.6 | + | 29210.3i | −0.586107 | + | 1.01517i | ||||
\(940\) | 22595.6 | + | 39136.7i | 0.784028 | + | 1.35798i | ||||
\(941\) | −14803.4 | − | 10092.8i | −0.512833 | − | 0.349644i | 0.279090 | − | 0.960265i | \(-0.409967\pi\) |
−0.791923 | + | 0.610621i | \(0.790920\pi\) | |||||||
\(942\) | 843.222 | − | 3694.40i | 0.0291652 | − | 0.127781i | ||||
\(943\) | −48318.0 | − | 7282.76i | −1.66856 | − | 0.251494i | ||||
\(944\) | −997.178 | − | 1250.42i | −0.0343807 | − | 0.0431120i | ||||
\(945\) | 61919.8 | 2.13148 | ||||||||
\(946\) | −11657.8 | + | 14120.7i | −0.400662 | + | 0.485311i | ||||
\(947\) | 21343.8 | 0.732398 | 0.366199 | − | 0.930537i | \(-0.380659\pi\) | ||||
0.366199 | + | 0.930537i | \(0.380659\pi\) | |||||||
\(948\) | 19512.5 | + | 24467.9i | 0.668498 | + | 0.838270i | ||||
\(949\) | 1560.92 | + | 235.270i | 0.0533925 | + | 0.00804763i | ||||
\(950\) | −1543.98 | + | 6764.63i | −0.0527299 | + | 0.231025i | ||||
\(951\) | −10674.8 | − | 7277.97i | −0.363990 | − | 0.248164i | ||||
\(952\) | −46636.6 | − | 80776.9i | −1.58771 | − | 2.75000i | ||||
\(953\) | −18999.3 | + | 32907.7i | −0.645799 | + | 1.11856i | 0.338318 | + | 0.941032i | \(0.390142\pi\) |
−0.984116 | + | 0.177524i | \(0.943191\pi\) | |||||||
\(954\) | 325.037 | − | 156.530i | 0.0110309 | − | 0.00531220i | ||||
\(955\) | −48156.8 | − | 14854.4i | −1.63175 | − | 0.503327i | ||||
\(956\) | −4969.05 | − | 66307.4i | −0.168107 | − | 2.24324i | ||||
\(957\) | −2661.13 | − | 11659.2i | −0.0898872 | − | 0.393822i | ||||
\(958\) | 31385.5 | − | 79968.9i | 1.05847 | − | 2.69695i | ||||
\(959\) | −4534.29 | + | 60505.8i | −0.152680 | + | 2.03737i | ||||
\(960\) | 50111.2 | − | 7553.04i | 1.68472 | − | 0.253931i | ||||
\(961\) | 10863.1 | + | 10079.5i | 0.364644 | + | 0.338340i | ||||
\(962\) | −60510.5 | − | 29140.3i | −2.02800 | − | 0.976634i | ||||
\(963\) | −757.738 | + | 516.617i | −0.0253559 | + | 0.0172874i | ||||
\(964\) | −39920.3 | − | 101715.i | −1.33376 | − | 3.39837i | ||||
\(965\) | 28620.4 | − | 8828.23i | 0.954740 | − | 0.294498i | ||||
\(966\) | 103100. | − | 95662.7i | 3.43394 | − | 3.18623i | ||||
\(967\) | 18845.7 | − | 23631.8i | 0.626719 | − | 0.785881i | −0.362554 | − | 0.931963i | \(-0.618095\pi\) |
0.989272 | + | 0.146082i | \(0.0466664\pi\) | |||||||
\(968\) | −26341.0 | + | 33030.5i | −0.874618 | + | 1.09674i | ||||
\(969\) | −3719.69 | + | 3451.37i | −0.123317 | + | 0.114421i | ||||
\(970\) | −17225.2 | + | 5313.26i | −0.570172 | + | 0.175875i | ||||
\(971\) | 6893.52 | + | 17564.4i | 0.227831 | + | 0.580503i | 0.998381 | − | 0.0568759i | \(-0.0181139\pi\) |
−0.770551 | + | 0.637379i | \(0.780019\pi\) | |||||||
\(972\) | 4209.38 | − | 2869.91i | 0.138905 | − | 0.0947040i | ||||
\(973\) | −6184.97 | − | 2978.52i | −0.203783 | − | 0.0981368i | ||||
\(974\) | −55553.4 | − | 51546.0i | −1.82756 | − | 1.69573i | ||||
\(975\) | −37192.5 | + | 5605.86i | −1.22165 | + | 0.184135i | ||||
\(976\) | 861.005 | − | 11489.3i | 0.0282378 | − | 0.376807i | ||||
\(977\) | 5126.91 | − | 13063.1i | 0.167886 | − | 0.427766i | −0.822026 | − | 0.569449i | \(-0.807156\pi\) |
0.989912 | + | 0.141684i | \(0.0452517\pi\) | |||||||
\(978\) | 925.959 | + | 4056.89i | 0.0302749 | + | 0.132643i | ||||
\(979\) | −1314.05 | − | 17534.8i | −0.0428980 | − | 0.572434i | ||||
\(980\) | −105291. | − | 32477.9i | −3.43203 | − | 1.05864i | ||||
\(981\) | 1622.64 | − | 781.421i | 0.0528102 | − | 0.0254321i | ||||
\(982\) | −45826.5 | + | 79373.8i | −1.48919 | + | 2.57935i | ||||
\(983\) | −14568.3 | − | 25233.1i | −0.472693 | − | 0.818729i | 0.526818 | − | 0.849978i | \(-0.323385\pi\) |
−0.999512 | + | 0.0312493i | \(0.990051\pi\) | |||||||
\(984\) | 40232.0 | + | 27429.7i | 1.30340 | + | 0.888646i | ||||
\(985\) | 681.586 | − | 2986.22i | 0.0220478 | − | 0.0965979i | ||||
\(986\) | 73535.2 | + | 11083.6i | 2.37509 | + | 0.357987i | ||||
\(987\) | 16631.5 | + | 20855.2i | 0.536358 | + | 0.672572i | ||||
\(988\) | −8515.44 | −0.274203 | ||||||||
\(989\) | 41002.4 | − | 36771.5i | 1.31830 | − | 1.18227i | ||||
\(990\) | 1225.47 | 0.0393415 | ||||||||
\(991\) | −9267.64 | − | 11621.3i | −0.297070 | − | 0.372514i | 0.610786 | − | 0.791795i | \(-0.290853\pi\) |
−0.907856 | + | 0.419282i | \(0.862282\pi\) | |||||||
\(992\) | 4053.67 | + | 610.993i | 0.129742 | + | 0.0195555i | ||||
\(993\) | −2425.00 | + | 10624.6i | −0.0774974 | + | 0.339538i | ||||
\(994\) | 90400.3 | + | 61633.9i | 2.88463 | + | 1.96671i | ||||
\(995\) | 465.089 | + | 805.558i | 0.0148184 | + | 0.0256662i | ||||
\(996\) | −25063.0 | + | 43410.4i | −0.797342 | + | 1.38104i | ||||
\(997\) | 42877.6 | − | 20648.8i | 1.36203 | − | 0.655921i | 0.396945 | − | 0.917842i | \(-0.370070\pi\) |
0.965089 | + | 0.261921i | \(0.0843561\pi\) | |||||||
\(998\) | −31120.3 | − | 9599.34i | −0.987070 | − | 0.304471i | ||||
\(999\) | −2721.64 | − | 36317.7i | −0.0861950 | − | 1.15019i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.4.g.a.9.9 | ✓ | 120 | |
43.14 | even | 21 | 1849.4.a.l.1.53 | 60 | |||
43.24 | even | 21 | inner | 43.4.g.a.24.9 | yes | 120 | |
43.29 | odd | 42 | 1849.4.a.k.1.8 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.4.g.a.9.9 | ✓ | 120 | 1.1 | even | 1 | trivial | |
43.4.g.a.24.9 | yes | 120 | 43.24 | even | 21 | inner | |
1849.4.a.k.1.8 | 60 | 43.29 | odd | 42 | |||
1849.4.a.l.1.53 | 60 | 43.14 | even | 21 |