Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,4,Mod(6,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.6");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.d (of order \(5\), degree \(4\), 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: | \(1.47504775014\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 16.3 | ||
Character | \(\chi\) | \(=\) | 25.16 |
Dual form | 25.4.d.a.11.3 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.51671 | − | 1.10196i | −0.536239 | − | 0.389600i | 0.286447 | − | 0.958096i | \(-0.407526\pi\) |
−0.822686 | + | 0.568496i | \(0.807526\pi\) | |||||||
\(3\) | −0.496278 | − | 1.52739i | −0.0955088 | − | 0.293946i | 0.891877 | − | 0.452278i | \(-0.149388\pi\) |
−0.987386 | + | 0.158332i | \(0.949388\pi\) | |||||||
\(4\) | −1.38603 | − | 4.26575i | −0.173253 | − | 0.533219i | ||||
\(5\) | 2.00572 | − | 10.9990i | 0.179397 | − | 0.983777i | ||||
\(6\) | −0.930402 | + | 2.86348i | −0.0633059 | + | 0.194835i | ||||
\(7\) | −5.91678 | −0.319476 | −0.159738 | − | 0.987159i | \(-0.551065\pi\) | ||||
−0.159738 | + | 0.987159i | \(0.551065\pi\) | |||||||
\(8\) | −7.23313 | + | 22.2613i | −0.319662 | + | 0.983819i | ||||
\(9\) | 19.7568 | − | 14.3542i | 0.731735 | − | 0.531636i | ||||
\(10\) | −15.1625 | + | 14.4720i | −0.479479 | + | 0.457646i | ||||
\(11\) | 46.2426 | + | 33.5972i | 1.26752 | + | 0.920904i | 0.999101 | − | 0.0423993i | \(-0.0135002\pi\) |
0.268415 | + | 0.963303i | \(0.413500\pi\) | |||||||
\(12\) | −5.82760 | + | 4.23400i | −0.140190 | + | 0.101854i | ||||
\(13\) | −23.8943 | + | 17.3602i | −0.509777 | + | 0.370374i | −0.812739 | − | 0.582628i | \(-0.802024\pi\) |
0.302962 | + | 0.953003i | \(0.402024\pi\) | |||||||
\(14\) | 8.97406 | + | 6.52004i | 0.171316 | + | 0.124468i | ||||
\(15\) | −17.7951 | + | 2.39503i | −0.306311 | + | 0.0412264i | ||||
\(16\) | 6.47220 | − | 4.70233i | 0.101128 | − | 0.0734739i | ||||
\(17\) | 16.1964 | − | 49.8475i | 0.231071 | − | 0.711165i | −0.766547 | − | 0.642188i | \(-0.778027\pi\) |
0.997618 | − | 0.0689764i | \(-0.0219733\pi\) | |||||||
\(18\) | −45.7831 | −0.599510 | ||||||||
\(19\) | 28.8671 | − | 88.8439i | 0.348557 | − | 1.07275i | −0.611096 | − | 0.791557i | \(-0.709271\pi\) |
0.959652 | − | 0.281190i | \(-0.0907291\pi\) | |||||||
\(20\) | −49.6988 | + | 6.68896i | −0.555650 | + | 0.0747848i | ||||
\(21\) | 2.93637 | + | 9.03722i | 0.0305128 | + | 0.0939087i | ||||
\(22\) | −33.1141 | − | 101.915i | −0.320907 | − | 0.987649i | ||||
\(23\) | 101.186 | + | 73.5160i | 0.917338 | + | 0.666485i | 0.942860 | − | 0.333189i | \(-0.108125\pi\) |
−0.0255223 | + | 0.999674i | \(0.508125\pi\) | |||||||
\(24\) | 37.5912 | 0.319720 | ||||||||
\(25\) | −116.954 | − | 44.1216i | −0.935634 | − | 0.352973i | ||||
\(26\) | 55.3710 | 0.417660 | ||||||||
\(27\) | −66.8097 | − | 48.5401i | −0.476205 | − | 0.345983i | ||||
\(28\) | 8.20082 | + | 25.2395i | 0.0553503 | + | 0.170351i | ||||
\(29\) | 42.2327 | + | 129.979i | 0.270428 | + | 0.832293i | 0.990393 | + | 0.138282i | \(0.0441580\pi\) |
−0.719965 | + | 0.694011i | \(0.755842\pi\) | |||||||
\(30\) | 29.6292 | + | 15.9768i | 0.180318 | + | 0.0972317i | ||||
\(31\) | −22.0658 | + | 67.9115i | −0.127843 | + | 0.393460i | −0.994408 | − | 0.105603i | \(-0.966323\pi\) |
0.866565 | + | 0.499064i | \(0.166323\pi\) | |||||||
\(32\) | 172.257 | 0.951594 | ||||||||
\(33\) | 28.3668 | − | 87.3040i | 0.149637 | − | 0.460535i | ||||
\(34\) | −79.4951 | + | 57.7566i | −0.400979 | + | 0.291329i | ||||
\(35\) | −11.8674 | + | 65.0785i | −0.0573131 | + | 0.314293i | ||||
\(36\) | −88.6149 | − | 64.3825i | −0.410254 | − | 0.298067i | ||||
\(37\) | −149.002 | + | 108.256i | −0.662048 | + | 0.481006i | −0.867354 | − | 0.497692i | \(-0.834181\pi\) |
0.205306 | + | 0.978698i | \(0.434181\pi\) | |||||||
\(38\) | −141.685 | + | 102.940i | −0.604852 | + | 0.439451i | ||||
\(39\) | 38.3741 | + | 27.8804i | 0.157558 | + | 0.114473i | ||||
\(40\) | 230.343 | + | 124.207i | 0.910512 | + | 0.490970i | ||||
\(41\) | −28.3279 | + | 20.5814i | −0.107904 | + | 0.0783971i | −0.640429 | − | 0.768017i | \(-0.721243\pi\) |
0.532525 | + | 0.846415i | \(0.321243\pi\) | |||||||
\(42\) | 5.50499 | − | 16.9426i | 0.0202247 | − | 0.0622453i | ||||
\(43\) | 185.374 | 0.657425 | 0.328712 | − | 0.944430i | \(-0.393385\pi\) | ||||
0.328712 | + | 0.944430i | \(0.393385\pi\) | |||||||
\(44\) | 79.2239 | − | 243.826i | 0.271442 | − | 0.835413i | ||||
\(45\) | −118.254 | − | 246.095i | −0.391741 | − | 0.815238i | ||||
\(46\) | −72.4588 | − | 223.005i | −0.232249 | − | 0.714790i | ||||
\(47\) | 130.295 | + | 401.007i | 0.404372 | + | 1.24453i | 0.921419 | + | 0.388571i | \(0.127031\pi\) |
−0.517047 | + | 0.855957i | \(0.672969\pi\) | |||||||
\(48\) | −10.3943 | − | 7.55189i | −0.0312560 | − | 0.0227088i | ||||
\(49\) | −307.992 | −0.897935 | ||||||||
\(50\) | 128.766 | + | 195.798i | 0.364205 | + | 0.553801i | ||||
\(51\) | −84.1744 | −0.231113 | ||||||||
\(52\) | 107.173 | + | 77.8655i | 0.285811 | + | 0.207654i | ||||
\(53\) | −214.260 | − | 659.426i | −0.555301 | − | 1.70904i | −0.695148 | − | 0.718867i | \(-0.744661\pi\) |
0.139847 | − | 0.990173i | \(-0.455339\pi\) | |||||||
\(54\) | 47.8420 | + | 147.243i | 0.120564 | + | 0.371059i | ||||
\(55\) | 462.284 | − | 441.234i | 1.13335 | − | 1.08175i | ||||
\(56\) | 42.7968 | − | 131.715i | 0.102124 | − | 0.314307i | ||||
\(57\) | −150.025 | −0.348620 | ||||||||
\(58\) | 79.1762 | − | 243.679i | 0.179247 | − | 0.551667i | ||||
\(59\) | −466.375 | + | 338.841i | −1.02910 | + | 0.747684i | −0.968128 | − | 0.250455i | \(-0.919420\pi\) |
−0.0609711 | + | 0.998140i | \(0.519420\pi\) | |||||||
\(60\) | 34.8811 | + | 72.5897i | 0.0750521 | + | 0.156188i | ||||
\(61\) | 29.5121 | + | 21.4418i | 0.0619448 | + | 0.0450056i | 0.618327 | − | 0.785921i | \(-0.287811\pi\) |
−0.556382 | + | 0.830927i | \(0.687811\pi\) | |||||||
\(62\) | 108.303 | − | 78.6867i | 0.221847 | − | 0.161181i | ||||
\(63\) | −116.897 | + | 84.9306i | −0.233772 | + | 0.169845i | ||||
\(64\) | −313.042 | − | 227.438i | −0.611410 | − | 0.444215i | ||||
\(65\) | 143.019 | + | 297.633i | 0.272913 | + | 0.567950i | ||||
\(66\) | −139.229 | + | 101.156i | −0.259666 | + | 0.188658i | ||||
\(67\) | −48.1248 | + | 148.113i | −0.0877519 | + | 0.270073i | −0.985297 | − | 0.170850i | \(-0.945349\pi\) |
0.897545 | + | 0.440923i | \(0.145349\pi\) | |||||||
\(68\) | −235.086 | −0.419240 | ||||||||
\(69\) | 62.0710 | − | 191.035i | 0.108297 | − | 0.333303i | ||||
\(70\) | 89.7130 | − | 85.6279i | 0.153182 | − | 0.146207i | ||||
\(71\) | 120.884 | + | 372.044i | 0.202061 | + | 0.621880i | 0.999821 | + | 0.0189054i | \(0.00601814\pi\) |
−0.797760 | + | 0.602975i | \(0.793982\pi\) | |||||||
\(72\) | 176.639 | + | 543.638i | 0.289126 | + | 0.889838i | ||||
\(73\) | 946.113 | + | 687.392i | 1.51691 | + | 1.10210i | 0.962994 | + | 0.269523i | \(0.0868659\pi\) |
0.553913 | + | 0.832575i | \(0.313134\pi\) | |||||||
\(74\) | 345.287 | 0.542416 | ||||||||
\(75\) | −9.34899 | + | 200.531i | −0.0143937 | + | 0.308738i | ||||
\(76\) | −418.997 | −0.632397 | ||||||||
\(77\) | −273.608 | − | 198.788i | −0.404941 | − | 0.294207i | ||||
\(78\) | −27.4794 | − | 84.5730i | −0.0398902 | − | 0.122769i | ||||
\(79\) | 323.388 | + | 995.287i | 0.460557 | + | 1.41745i | 0.864485 | + | 0.502659i | \(0.167645\pi\) |
−0.403927 | + | 0.914791i | \(0.632355\pi\) | |||||||
\(80\) | −38.7393 | − | 80.6190i | −0.0541398 | − | 0.112668i | ||||
\(81\) | 162.771 | − | 500.956i | 0.223279 | − | 0.687183i | ||||
\(82\) | 65.6451 | 0.0884060 | ||||||||
\(83\) | 289.936 | − | 892.333i | 0.383430 | − | 1.18007i | −0.554184 | − | 0.832395i | \(-0.686969\pi\) |
0.937613 | − | 0.347680i | \(-0.113031\pi\) | |||||||
\(84\) | 34.4806 | − | 25.0517i | 0.0447875 | − | 0.0325400i | ||||
\(85\) | −515.785 | − | 278.124i | −0.658174 | − | 0.354903i | ||||
\(86\) | −281.159 | − | 204.274i | −0.352537 | − | 0.256133i | ||||
\(87\) | 177.569 | − | 129.011i | 0.218821 | − | 0.158983i | ||||
\(88\) | −1082.40 | + | 786.407i | −1.31118 | + | 0.952628i | ||||
\(89\) | −378.143 | − | 274.737i | −0.450371 | − | 0.327214i | 0.339371 | − | 0.940653i | \(-0.389786\pi\) |
−0.789742 | + | 0.613439i | \(0.789786\pi\) | |||||||
\(90\) | −91.8280 | + | 503.567i | −0.107550 | + | 0.589784i | ||||
\(91\) | 141.378 | − | 102.717i | 0.162862 | − | 0.118326i | ||||
\(92\) | 173.354 | − | 533.530i | 0.196451 | − | 0.604613i | ||||
\(93\) | 114.678 | 0.127866 | ||||||||
\(94\) | 244.272 | − | 751.791i | 0.268029 | − | 0.824908i | ||||
\(95\) | −919.291 | − | 495.704i | −0.992813 | − | 0.535349i | ||||
\(96\) | −85.4873 | − | 263.103i | −0.0908856 | − | 0.279717i | ||||
\(97\) | −529.272 | − | 1628.93i | −0.554014 | − | 1.70508i | −0.698532 | − | 0.715579i | \(-0.746163\pi\) |
0.144518 | − | 0.989502i | \(-0.453837\pi\) | |||||||
\(98\) | 467.135 | + | 339.393i | 0.481508 | + | 0.349836i | ||||
\(99\) | 1395.87 | 1.41707 | ||||||||
\(100\) | −26.1103 | + | 560.051i | −0.0261103 | + | 0.560051i | ||||
\(101\) | 1054.59 | 1.03896 | 0.519482 | − | 0.854482i | \(-0.326125\pi\) | ||||
0.519482 | + | 0.854482i | \(0.326125\pi\) | |||||||
\(102\) | 127.668 | + | 92.7565i | 0.123932 | + | 0.0900418i | ||||
\(103\) | 28.4548 | + | 87.5749i | 0.0272207 | + | 0.0837768i | 0.963744 | − | 0.266829i | \(-0.0859758\pi\) |
−0.936523 | + | 0.350606i | \(0.885976\pi\) | |||||||
\(104\) | −213.631 | − | 657.487i | −0.201425 | − | 0.619922i | ||||
\(105\) | 105.290 | − | 14.1709i | 0.0978591 | − | 0.0131708i | ||||
\(106\) | −401.687 | + | 1236.26i | −0.368069 | + | 1.13280i | ||||
\(107\) | −66.9507 | −0.0604894 | −0.0302447 | − | 0.999543i | \(-0.509629\pi\) | ||||
−0.0302447 | + | 0.999543i | \(0.509629\pi\) | |||||||
\(108\) | −114.460 | + | 352.271i | −0.101981 | + | 0.313864i | ||||
\(109\) | −160.237 | + | 116.419i | −0.140806 | + | 0.102302i | −0.655958 | − | 0.754797i | \(-0.727735\pi\) |
0.515152 | + | 0.857099i | \(0.327735\pi\) | |||||||
\(110\) | −1187.37 | + | 159.808i | −1.02920 | + | 0.138519i | ||||
\(111\) | 239.296 | + | 173.858i | 0.204621 | + | 0.148666i | ||||
\(112\) | −38.2946 | + | 27.8227i | −0.0323080 | + | 0.0234732i | ||||
\(113\) | −1326.05 | + | 963.435i | −1.10394 | + | 0.802056i | −0.981698 | − | 0.190445i | \(-0.939007\pi\) |
−0.122237 | + | 0.992501i | \(0.539007\pi\) | |||||||
\(114\) | 227.545 | + | 165.321i | 0.186943 | + | 0.135822i | ||||
\(115\) | 1011.55 | − | 965.490i | 0.820240 | − | 0.782890i | ||||
\(116\) | 495.922 | − | 360.309i | 0.396942 | − | 0.288395i | ||||
\(117\) | −222.884 | + | 685.967i | −0.176117 | + | 0.542032i | ||||
\(118\) | 1080.74 | 0.843141 | ||||||||
\(119\) | −95.8308 | + | 294.937i | −0.0738218 | + | 0.227200i | ||||
\(120\) | 75.3974 | − | 413.464i | 0.0573568 | − | 0.314533i | ||||
\(121\) | 598.304 | + | 1841.39i | 0.449515 | + | 1.38346i | ||||
\(122\) | −21.1334 | − | 65.0420i | −0.0156830 | − | 0.0482675i | ||||
\(123\) | 45.4944 | + | 33.0536i | 0.0333503 | + | 0.0242304i | ||||
\(124\) | 320.277 | 0.231950 | ||||||||
\(125\) | −719.869 | + | 1197.88i | −0.515096 | + | 0.857132i | ||||
\(126\) | 270.889 | 0.191529 | ||||||||
\(127\) | −404.153 | − | 293.635i | −0.282384 | − | 0.205164i | 0.437572 | − | 0.899183i | \(-0.355838\pi\) |
−0.719957 | + | 0.694019i | \(0.755838\pi\) | |||||||
\(128\) | −201.675 | − | 620.692i | −0.139263 | − | 0.428609i | ||||
\(129\) | −91.9971 | − | 283.138i | −0.0627898 | − | 0.193247i | ||||
\(130\) | 111.059 | − | 609.024i | 0.0749269 | − | 0.410884i | ||||
\(131\) | 80.0952 | − | 246.508i | 0.0534195 | − | 0.164408i | −0.920787 | − | 0.390065i | \(-0.872453\pi\) |
0.974207 | + | 0.225656i | \(0.0724527\pi\) | |||||||
\(132\) | −411.734 | −0.271491 | ||||||||
\(133\) | −170.801 | + | 525.670i | −0.111356 | + | 0.342717i | ||||
\(134\) | 236.205 | − | 171.613i | 0.152276 | − | 0.110635i | ||||
\(135\) | −667.891 | + | 637.479i | −0.425800 | + | 0.406411i | ||||
\(136\) | 992.519 | + | 721.107i | 0.625792 | + | 0.454665i | ||||
\(137\) | 123.196 | − | 89.5073i | 0.0768275 | − | 0.0558184i | −0.548709 | − | 0.836014i | \(-0.684880\pi\) |
0.625536 | + | 0.780195i | \(0.284880\pi\) | |||||||
\(138\) | −304.656 | + | 221.345i | −0.187928 | + | 0.136537i | ||||
\(139\) | −1835.62 | − | 1333.66i | −1.12011 | − | 0.813809i | −0.135885 | − | 0.990725i | \(-0.543388\pi\) |
−0.984226 | + | 0.176916i | \(0.943388\pi\) | |||||||
\(140\) | 294.057 | − | 39.5771i | 0.177517 | − | 0.0238920i | ||||
\(141\) | 547.830 | − | 398.022i | 0.327203 | − | 0.237727i | ||||
\(142\) | 226.629 | − | 697.493i | 0.133932 | − | 0.412200i | ||||
\(143\) | −1688.19 | −0.987229 | ||||||||
\(144\) | 60.3721 | − | 185.806i | 0.0349376 | − | 0.107527i | ||||
\(145\) | 1514.34 | − | 203.815i | 0.867304 | − | 0.116730i | ||||
\(146\) | −677.506 | − | 2085.15i | −0.384047 | − | 1.18197i | ||||
\(147\) | 152.850 | + | 470.423i | 0.0857607 | + | 0.263944i | ||||
\(148\) | 668.315 | + | 485.559i | 0.371184 | + | 0.269681i | ||||
\(149\) | 1563.68 | 0.859744 | 0.429872 | − | 0.902890i | \(-0.358559\pi\) | ||||
0.429872 | + | 0.902890i | \(0.358559\pi\) | |||||||
\(150\) | 235.156 | − | 293.846i | 0.128003 | − | 0.159949i | ||||
\(151\) | −2328.94 | −1.25514 | −0.627571 | − | 0.778559i | \(-0.715951\pi\) | ||||
−0.627571 | + | 0.778559i | \(0.715951\pi\) | |||||||
\(152\) | 1768.98 | + | 1285.24i | 0.943968 | + | 0.685833i | ||||
\(153\) | −395.530 | − | 1217.32i | −0.208998 | − | 0.643230i | ||||
\(154\) | 195.929 | + | 603.007i | 0.102522 | + | 0.315530i | ||||
\(155\) | 702.698 | + | 378.912i | 0.364142 | + | 0.196354i | ||||
\(156\) | 65.7433 | − | 202.337i | 0.0337415 | − | 0.103846i | ||||
\(157\) | −290.519 | −0.147681 | −0.0738406 | − | 0.997270i | \(-0.523526\pi\) | ||||
−0.0738406 | + | 0.997270i | \(0.523526\pi\) | |||||||
\(158\) | 606.275 | − | 1865.92i | 0.305270 | − | 0.939525i | ||||
\(159\) | −900.866 | + | 654.517i | −0.449329 | + | 0.326457i | ||||
\(160\) | 345.499 | − | 1894.65i | 0.170713 | − | 0.936156i | ||||
\(161\) | −598.696 | − | 434.978i | −0.293068 | − | 0.212926i | ||||
\(162\) | −798.908 | + | 580.441i | −0.387458 | + | 0.281505i | ||||
\(163\) | 1590.13 | − | 1155.30i | 0.764102 | − | 0.555153i | −0.136064 | − | 0.990700i | \(-0.543445\pi\) |
0.900166 | + | 0.435547i | \(0.143445\pi\) | |||||||
\(164\) | 127.059 | + | 92.3135i | 0.0604976 | + | 0.0439541i | ||||
\(165\) | −903.357 | − | 487.112i | −0.426220 | − | 0.229828i | ||||
\(166\) | −1423.06 | + | 1033.91i | −0.665367 | + | 0.483418i | ||||
\(167\) | −634.745 | + | 1953.54i | −0.294120 | + | 0.905208i | 0.689396 | + | 0.724385i | \(0.257876\pi\) |
−0.983516 | + | 0.180823i | \(0.942124\pi\) | |||||||
\(168\) | −222.419 | −0.102143 | ||||||||
\(169\) | −409.350 | + | 1259.85i | −0.186322 | + | 0.573440i | ||||
\(170\) | 475.817 | + | 990.207i | 0.214668 | + | 0.446738i | ||||
\(171\) | −704.958 | − | 2169.64i | −0.315260 | − | 0.970271i | ||||
\(172\) | −256.933 | − | 790.759i | −0.113901 | − | 0.350551i | ||||
\(173\) | 1034.32 | + | 751.479i | 0.454555 | + | 0.330254i | 0.791392 | − | 0.611310i | \(-0.209357\pi\) |
−0.336836 | + | 0.941563i | \(0.609357\pi\) | |||||||
\(174\) | −411.486 | −0.179280 | ||||||||
\(175\) | 691.993 | + | 261.058i | 0.298913 | + | 0.112767i | ||||
\(176\) | 457.276 | 0.195844 | ||||||||
\(177\) | 748.994 | + | 544.176i | 0.318067 | + | 0.231089i | ||||
\(178\) | 270.786 | + | 833.393i | 0.114024 | + | 0.350930i | ||||
\(179\) | 144.118 | + | 443.549i | 0.0601781 | + | 0.185209i | 0.976626 | − | 0.214944i | \(-0.0689569\pi\) |
−0.916448 | + | 0.400153i | \(0.868957\pi\) | |||||||
\(180\) | −885.877 | + | 845.538i | −0.366830 | + | 0.350126i | ||||
\(181\) | 360.349 | − | 1109.04i | 0.147981 | − | 0.455439i | −0.849401 | − | 0.527748i | \(-0.823037\pi\) |
0.997382 | + | 0.0723088i | \(0.0230367\pi\) | |||||||
\(182\) | −327.619 | −0.133432 | ||||||||
\(183\) | 18.1037 | − | 55.7175i | 0.00731292 | − | 0.0225069i | ||||
\(184\) | −2368.45 | + | 1720.78i | −0.948938 | + | 0.689444i | ||||
\(185\) | 891.850 | + | 1856.00i | 0.354433 | + | 0.737598i | ||||
\(186\) | −173.933 | − | 126.370i | −0.0685667 | − | 0.0498167i | ||||
\(187\) | 2423.70 | − | 1760.92i | 0.947801 | − | 0.688618i | ||||
\(188\) | 1530.00 | − | 1111.61i | 0.593547 | − | 0.431237i | ||||
\(189\) | 395.298 | + | 287.201i | 0.152136 | + | 0.110533i | ||||
\(190\) | 848.056 | + | 1764.86i | 0.323813 | + | 0.673875i | ||||
\(191\) | −1809.34 | + | 1314.56i | −0.685440 | + | 0.498001i | −0.875158 | − | 0.483837i | \(-0.839243\pi\) |
0.189718 | + | 0.981839i | \(0.439243\pi\) | |||||||
\(192\) | −192.030 | + | 591.009i | −0.0721802 | + | 0.222148i | ||||
\(193\) | 1902.42 | 0.709530 | 0.354765 | − | 0.934956i | \(-0.384561\pi\) | ||||
0.354765 | + | 0.934956i | \(0.384561\pi\) | |||||||
\(194\) | −992.257 | + | 3053.85i | −0.367216 | + | 1.13017i | ||||
\(195\) | 383.623 | − | 366.154i | 0.140881 | − | 0.134466i | ||||
\(196\) | 426.885 | + | 1313.82i | 0.155570 | + | 0.478796i | ||||
\(197\) | 559.983 | + | 1723.45i | 0.202524 | + | 0.623304i | 0.999806 | + | 0.0196971i | \(0.00627019\pi\) |
−0.797282 | + | 0.603607i | \(0.793730\pi\) | |||||||
\(198\) | −2117.13 | − | 1538.19i | −0.759889 | − | 0.552091i | ||||
\(199\) | −3011.24 | −1.07267 | −0.536335 | − | 0.844005i | \(-0.680192\pi\) | ||||
−0.536335 | + | 0.844005i | \(0.680192\pi\) | |||||||
\(200\) | 1828.15 | − | 2284.41i | 0.646348 | − | 0.807662i | ||||
\(201\) | 250.109 | 0.0877678 | ||||||||
\(202\) | −1599.50 | − | 1162.11i | −0.557132 | − | 0.404780i | ||||
\(203\) | −249.882 | − | 769.058i | −0.0863954 | − | 0.265898i | ||||
\(204\) | 116.668 | + | 359.067i | 0.0400411 | + | 0.123234i | ||||
\(205\) | 169.557 | + | 352.858i | 0.0577675 | + | 0.120218i | ||||
\(206\) | 53.3459 | − | 164.182i | 0.0180427 | − | 0.0555296i | ||||
\(207\) | 3054.38 | 1.02558 | ||||||||
\(208\) | −73.0153 | + | 224.718i | −0.0243399 | + | 0.0749105i | ||||
\(209\) | 4319.80 | − | 3138.52i | 1.42970 | − | 1.03874i | ||||
\(210\) | −175.310 | − | 94.5313i | −0.0576072 | − | 0.0310632i | ||||
\(211\) | −3153.40 | − | 2291.08i | −1.02886 | − | 0.747509i | −0.0607784 | − | 0.998151i | \(-0.519358\pi\) |
−0.968080 | + | 0.250642i | \(0.919358\pi\) | |||||||
\(212\) | −2515.98 | + | 1827.96i | −0.815085 | + | 0.592194i | ||||
\(213\) | 508.263 | − | 369.275i | 0.163501 | − | 0.118790i | ||||
\(214\) | 101.545 | + | 73.7767i | 0.0324368 | + | 0.0235667i | ||||
\(215\) | 371.808 | − | 2038.92i | 0.117940 | − | 0.646759i | ||||
\(216\) | 1563.81 | − | 1136.17i | 0.492609 | − | 0.357901i | ||||
\(217\) | 130.558 | − | 401.818i | 0.0408428 | − | 0.125701i | ||||
\(218\) | 371.321 | 0.115362 | ||||||||
\(219\) | 580.378 | − | 1786.22i | 0.179079 | − | 0.551148i | ||||
\(220\) | −2522.93 | − | 1360.43i | −0.773164 | − | 0.416909i | ||||
\(221\) | 478.362 | + | 1472.25i | 0.145602 | + | 0.448118i | ||||
\(222\) | −171.358 | − | 527.387i | −0.0518055 | − | 0.159441i | ||||
\(223\) | −2941.83 | − | 2137.36i | −0.883406 | − | 0.641832i | 0.0507445 | − | 0.998712i | \(-0.483841\pi\) |
−0.934150 | + | 0.356880i | \(0.883841\pi\) | |||||||
\(224\) | −1019.21 | −0.304012 | ||||||||
\(225\) | −2943.98 | + | 807.078i | −0.872289 | + | 0.239134i | ||||
\(226\) | 3072.90 | 0.904454 | ||||||||
\(227\) | −562.815 | − | 408.909i | −0.164561 | − | 0.119561i | 0.502457 | − | 0.864602i | \(-0.332430\pi\) |
−0.667018 | + | 0.745042i | \(0.732430\pi\) | |||||||
\(228\) | 207.939 | + | 639.970i | 0.0603995 | + | 0.185891i | ||||
\(229\) | −1706.92 | − | 5253.37i | −0.492562 | − | 1.51595i | −0.820722 | − | 0.571328i | \(-0.806428\pi\) |
0.328160 | − | 0.944622i | \(-0.393572\pi\) | |||||||
\(230\) | −2598.16 | + | 349.686i | −0.744859 | + | 0.100250i | ||||
\(231\) | −167.840 | + | 516.559i | −0.0478055 | + | 0.147130i | ||||
\(232\) | −3198.97 | −0.905271 | ||||||||
\(233\) | −1653.81 | + | 5089.90i | −0.464998 | + | 1.43112i | 0.393986 | + | 0.919116i | \(0.371096\pi\) |
−0.858985 | + | 0.512001i | \(0.828904\pi\) | |||||||
\(234\) | 1093.96 | − | 794.806i | 0.305616 | − | 0.222043i | ||||
\(235\) | 4671.99 | − | 628.802i | 1.29688 | − | 0.174547i | ||||
\(236\) | 2091.82 | + | 1519.80i | 0.576974 | + | 0.419196i | ||||
\(237\) | 1359.70 | − | 987.879i | 0.372666 | − | 0.270758i | ||||
\(238\) | 470.355 | − | 341.733i | 0.128103 | − | 0.0930726i | ||||
\(239\) | 4030.36 | + | 2928.23i | 1.09081 | + | 0.792517i | 0.979535 | − | 0.201273i | \(-0.0645079\pi\) |
0.111271 | + | 0.993790i | \(0.464508\pi\) | |||||||
\(240\) | −103.911 | + | 99.1793i | −0.0279476 | + | 0.0266750i | ||||
\(241\) | 1105.03 | − | 802.852i | 0.295358 | − | 0.214590i | −0.430230 | − | 0.902719i | \(-0.641568\pi\) |
0.725588 | + | 0.688129i | \(0.241568\pi\) | |||||||
\(242\) | 1121.68 | − | 3452.17i | 0.297951 | − | 0.916998i | ||||
\(243\) | −3075.63 | −0.811941 | ||||||||
\(244\) | 50.5608 | − | 155.610i | 0.0132657 | − | 0.0408275i | ||||
\(245\) | −617.745 | + | 3387.59i | −0.161087 | + | 0.883368i | ||||
\(246\) | −32.5783 | − | 100.266i | −0.00844355 | − | 0.0259866i | ||||
\(247\) | 852.591 | + | 2624.01i | 0.219632 | + | 0.675957i | ||||
\(248\) | −1352.19 | − | 982.425i | −0.346227 | − | 0.251549i | ||||
\(249\) | −1506.83 | −0.383499 | ||||||||
\(250\) | 2411.84 | − | 1023.57i | 0.610154 | − | 0.258946i | ||||
\(251\) | −56.3223 | −0.0141635 | −0.00708174 | − | 0.999975i | \(-0.502254\pi\) | ||||
−0.00708174 | + | 0.999975i | \(0.502254\pi\) | |||||||
\(252\) | 524.315 | + | 380.937i | 0.131066 | + | 0.0952254i | ||||
\(253\) | 2209.18 | + | 6799.15i | 0.548971 | + | 1.68956i | ||||
\(254\) | 289.412 | + | 890.719i | 0.0714934 | + | 0.220034i | ||||
\(255\) | −168.830 | + | 925.831i | −0.0414610 | + | 0.227364i | ||||
\(256\) | −1334.66 | + | 4107.67i | −0.325845 | + | 1.00285i | ||||
\(257\) | −587.079 | −0.142494 | −0.0712470 | − | 0.997459i | \(-0.522698\pi\) | ||||
−0.0712470 | + | 0.997459i | \(0.522698\pi\) | |||||||
\(258\) | −172.472 | + | 530.815i | −0.0416188 | + | 0.128090i | ||||
\(259\) | 881.612 | − | 640.529i | 0.211509 | − | 0.153670i | ||||
\(260\) | 1071.40 | − | 1022.61i | 0.255559 | − | 0.243922i | ||||
\(261\) | 2700.13 | + | 1961.76i | 0.640359 | + | 0.465248i | ||||
\(262\) | −393.122 | + | 285.620i | −0.0926991 | + | 0.0673498i | ||||
\(263\) | 388.238 | − | 282.072i | 0.0910258 | − | 0.0661341i | −0.541341 | − | 0.840803i | \(-0.682083\pi\) |
0.632367 | + | 0.774669i | \(0.282083\pi\) | |||||||
\(264\) | 1738.32 | + | 1262.96i | 0.405250 | + | 0.294431i | ||||
\(265\) | −7682.74 | + | 1034.02i | −1.78093 | + | 0.239696i | ||||
\(266\) | 838.321 | − | 609.076i | 0.193236 | − | 0.140394i | ||||
\(267\) | −231.966 | + | 713.916i | −0.0531688 | + | 0.163637i | ||||
\(268\) | 698.515 | 0.159211 | ||||||||
\(269\) | 1495.78 | − | 4603.53i | 0.339030 | − | 1.04343i | −0.625673 | − | 0.780086i | \(-0.715175\pi\) |
0.964703 | − | 0.263342i | \(-0.0848246\pi\) | |||||||
\(270\) | 1715.47 | − | 230.885i | 0.386668 | − | 0.0520416i | ||||
\(271\) | 1441.77 | + | 4437.32i | 0.323179 | + | 0.994643i | 0.972256 | + | 0.233920i | \(0.0751553\pi\) |
−0.649077 | + | 0.760723i | \(0.724845\pi\) | |||||||
\(272\) | −129.573 | − | 398.784i | −0.0288842 | − | 0.0888964i | ||||
\(273\) | −227.051 | − | 164.962i | −0.0503361 | − | 0.0365713i | ||||
\(274\) | −285.486 | −0.0629448 | ||||||||
\(275\) | −3925.90 | − | 5969.64i | −0.860876 | − | 1.30903i | ||||
\(276\) | −900.939 | −0.196486 | ||||||||
\(277\) | −6762.05 | − | 4912.91i | −1.46676 | − | 1.06566i | −0.981537 | − | 0.191271i | \(-0.938739\pi\) |
−0.485221 | − | 0.874392i | \(-0.661261\pi\) | |||||||
\(278\) | 1314.48 | + | 4045.55i | 0.283587 | + | 0.872791i | ||||
\(279\) | 538.864 | + | 1658.45i | 0.115631 | + | 0.355874i | ||||
\(280\) | −1362.89 | − | 734.904i | −0.290887 | − | 0.156853i | ||||
\(281\) | 1708.18 | − | 5257.23i | 0.362638 | − | 1.11609i | −0.588809 | − | 0.808272i | \(-0.700403\pi\) |
0.951447 | − | 0.307813i | \(-0.0995970\pi\) | |||||||
\(282\) | −1269.50 | −0.268077 | ||||||||
\(283\) | −161.101 | + | 495.817i | −0.0338390 | + | 0.104146i | −0.966549 | − | 0.256481i | \(-0.917437\pi\) |
0.932710 | + | 0.360626i | \(0.117437\pi\) | |||||||
\(284\) | 1419.50 | − | 1031.33i | 0.296591 | − | 0.215486i | ||||
\(285\) | −300.908 | + | 1650.12i | −0.0625413 | + | 0.342964i | ||||
\(286\) | 2560.50 | + | 1860.31i | 0.529390 | + | 0.384625i | ||||
\(287\) | 167.610 | − | 121.776i | 0.0344729 | − | 0.0250460i | ||||
\(288\) | 3403.25 | − | 2472.61i | 0.696314 | − | 0.505902i | ||||
\(289\) | 1752.25 | + | 1273.08i | 0.356656 | + | 0.259126i | ||||
\(290\) | −2521.41 | − | 1359.61i | −0.510560 | − | 0.275307i | ||||
\(291\) | −2225.34 | + | 1616.81i | −0.448288 | + | 0.325700i | ||||
\(292\) | 1620.90 | − | 4988.63i | 0.324850 | − | 0.999786i | ||||
\(293\) | −2209.70 | −0.440587 | −0.220294 | − | 0.975434i | \(-0.570702\pi\) | ||||
−0.220294 | + | 0.975434i | \(0.570702\pi\) | |||||||
\(294\) | 286.556 | − | 881.929i | 0.0568445 | − | 0.174949i | ||||
\(295\) | 2791.48 | + | 5809.26i | 0.550937 | + | 1.14654i | ||||
\(296\) | −1332.17 | − | 4100.01i | −0.261591 | − | 0.805094i | ||||
\(297\) | −1458.64 | − | 4489.24i | −0.284980 | − | 0.877078i | ||||
\(298\) | −2371.66 | − | 1723.11i | −0.461028 | − | 0.334957i | ||||
\(299\) | −3694.03 | −0.714486 | ||||||||
\(300\) | 868.373 | − | 238.061i | 0.167118 | − | 0.0458148i | ||||
\(301\) | −1096.82 | −0.210032 | ||||||||
\(302\) | 3532.33 | + | 2566.39i | 0.673056 | + | 0.489004i | ||||
\(303\) | −523.368 | − | 1610.76i | −0.0992301 | − | 0.305399i | ||||
\(304\) | −230.939 | − | 710.758i | −0.0435700 | − | 0.134095i | ||||
\(305\) | 295.030 | − | 281.596i | 0.0553881 | − | 0.0528660i | ||||
\(306\) | −741.524 | + | 2282.18i | −0.138530 | + | 0.426351i | ||||
\(307\) | 10095.6 | 1.87683 | 0.938413 | − | 0.345516i | \(-0.112296\pi\) | ||||
0.938413 | + | 0.345516i | \(0.112296\pi\) | |||||||
\(308\) | −468.751 | + | 1442.67i | −0.0867193 | + | 0.266895i | ||||
\(309\) | 119.639 | − | 86.9230i | 0.0220260 | − | 0.0160028i | ||||
\(310\) | −648.246 | − | 1349.04i | −0.118767 | − | 0.247163i | ||||
\(311\) | −4497.20 | − | 3267.41i | −0.819977 | − | 0.595748i | 0.0967289 | − | 0.995311i | \(-0.469162\pi\) |
−0.916706 | + | 0.399563i | \(0.869162\pi\) | |||||||
\(312\) | −898.217 | + | 652.593i | −0.162986 | + | 0.118416i | ||||
\(313\) | 4746.67 | − | 3448.66i | 0.857180 | − | 0.622778i | −0.0699360 | − | 0.997551i | \(-0.522279\pi\) |
0.927116 | + | 0.374773i | \(0.122279\pi\) | |||||||
\(314\) | 440.634 | + | 320.139i | 0.0791923 | + | 0.0575366i | ||||
\(315\) | 699.686 | + | 1456.09i | 0.125152 | + | 0.260449i | ||||
\(316\) | 3797.42 | − | 2758.99i | 0.676018 | − | 0.491156i | ||||
\(317\) | −98.5888 | + | 303.425i | −0.0174678 | + | 0.0537604i | −0.959410 | − | 0.282013i | \(-0.908998\pi\) |
0.941943 | + | 0.335774i | \(0.108998\pi\) | |||||||
\(318\) | 2087.60 | 0.368135 | ||||||||
\(319\) | −2413.98 | + | 7429.47i | −0.423690 | + | 1.30398i | ||||
\(320\) | −3129.46 | + | 2986.96i | −0.546694 | + | 0.521800i | ||||
\(321\) | 33.2262 | + | 102.260i | 0.00577727 | + | 0.0177806i | ||||
\(322\) | 428.723 | + | 1319.47i | 0.0741982 | + | 0.228358i | ||||
\(323\) | −3961.10 | − | 2877.91i | −0.682358 | − | 0.495762i | ||||
\(324\) | −2362.56 | −0.405103 | ||||||||
\(325\) | 3560.50 | − | 976.097i | 0.607696 | − | 0.166597i | ||||
\(326\) | −3684.86 | −0.626029 | ||||||||
\(327\) | 257.338 | + | 186.967i | 0.0435194 | + | 0.0316187i | ||||
\(328\) | −253.270 | − | 779.484i | −0.0426356 | − | 0.131219i | ||||
\(329\) | −770.927 | − | 2372.67i | −0.129187 | − | 0.397597i | ||||
\(330\) | 833.356 | + | 1734.27i | 0.139014 | + | 0.289298i | ||||
\(331\) | 904.957 | − | 2785.17i | 0.150275 | − | 0.462498i | −0.847377 | − | 0.530992i | \(-0.821819\pi\) |
0.997652 | + | 0.0684939i | \(0.0218194\pi\) | |||||||
\(332\) | −4208.33 | −0.695669 | ||||||||
\(333\) | −1389.88 | + | 4277.60i | −0.228723 | + | 0.703938i | ||||
\(334\) | 3115.44 | − | 2263.50i | 0.510388 | − | 0.370818i | ||||
\(335\) | 1532.56 | + | 826.395i | 0.249949 | + | 0.134779i | ||||
\(336\) | 61.5007 | + | 44.6829i | 0.00998554 | + | 0.00725492i | ||||
\(337\) | −4174.94 | + | 3033.27i | −0.674848 | + | 0.490306i | −0.871644 | − | 0.490139i | \(-0.836946\pi\) |
0.196797 | + | 0.980444i | \(0.436946\pi\) | |||||||
\(338\) | 2009.16 | − | 1459.74i | 0.323326 | − | 0.234910i | ||||
\(339\) | 2129.63 | + | 1547.27i | 0.341196 | + | 0.247894i | ||||
\(340\) | −471.516 | + | 2585.70i | −0.0752104 | + | 0.412439i | ||||
\(341\) | −3302.02 | + | 2399.06i | −0.524382 | + | 0.380986i | ||||
\(342\) | −1321.63 | + | 4067.55i | −0.208963 | + | 0.643123i | ||||
\(343\) | 3851.78 | 0.606345 | ||||||||
\(344\) | −1340.83 | + | 4126.66i | −0.210154 | + | 0.646787i | ||||
\(345\) | −1976.69 | − | 1065.88i | −0.308467 | − | 0.166333i | ||||
\(346\) | −740.672 | − | 2279.55i | −0.115083 | − | 0.354190i | ||||
\(347\) | 540.620 | + | 1663.86i | 0.0836369 | + | 0.257408i | 0.984126 | − | 0.177470i | \(-0.0567914\pi\) |
−0.900489 | + | 0.434878i | \(0.856791\pi\) | |||||||
\(348\) | −796.446 | − | 578.652i | −0.122684 | − | 0.0891351i | ||||
\(349\) | −1775.11 | −0.272262 | −0.136131 | − | 0.990691i | \(-0.543467\pi\) | ||||
−0.136131 | + | 0.990691i | \(0.543467\pi\) | |||||||
\(350\) | −761.879 | − | 1158.50i | −0.116355 | − | 0.176926i | ||||
\(351\) | 2439.04 | 0.370901 | ||||||||
\(352\) | 7965.61 | + | 5787.35i | 1.20616 | + | 0.876327i | ||||
\(353\) | 101.976 | + | 313.851i | 0.0153758 | + | 0.0473218i | 0.958450 | − | 0.285260i | \(-0.0920801\pi\) |
−0.943074 | + | 0.332582i | \(0.892080\pi\) | |||||||
\(354\) | −536.350 | − | 1650.72i | −0.0805274 | − | 0.247838i | ||||
\(355\) | 4334.56 | − | 583.388i | 0.648041 | − | 0.0872197i | ||||
\(356\) | −647.843 | + | 1993.86i | −0.0964484 | + | 0.296838i | ||||
\(357\) | 498.042 | 0.0738352 | ||||||||
\(358\) | 270.186 | − | 831.548i | 0.0398877 | − | 0.122762i | ||||
\(359\) | −3398.46 | + | 2469.12i | −0.499620 | + | 0.362995i | −0.808872 | − | 0.587985i | \(-0.799921\pi\) |
0.309252 | + | 0.950980i | \(0.399921\pi\) | |||||||
\(360\) | 6333.74 | − | 852.457i | 0.927271 | − | 0.124801i | ||||
\(361\) | −1510.88 | − | 1097.72i | −0.220277 | − | 0.160040i | ||||
\(362\) | −1768.66 | + | 1285.01i | −0.256792 | + | 0.186570i | ||||
\(363\) | 2515.59 | − | 1827.68i | 0.363731 | − | 0.264266i | ||||
\(364\) | −634.118 | − | 460.713i | −0.0913099 | − | 0.0663405i | ||||
\(365\) | 9458.23 | − | 9027.55i | 1.35635 | − | 1.29458i | ||||
\(366\) | −88.8563 | + | 64.5579i | −0.0126901 | + | 0.00921993i | ||||
\(367\) | −3499.21 | + | 10769.5i | −0.497704 | + | 1.53177i | 0.314997 | + | 0.949093i | \(0.397997\pi\) |
−0.812700 | + | 0.582682i | \(0.802003\pi\) | |||||||
\(368\) | 1000.59 | 0.141738 | ||||||||
\(369\) | −264.240 | + | 813.248i | −0.0372786 | + | 0.114732i | ||||
\(370\) | 692.548 | − | 3797.79i | 0.0973077 | − | 0.533616i | ||||
\(371\) | 1267.73 | + | 3901.68i | 0.177405 | + | 0.545998i | ||||
\(372\) | −158.947 | − | 489.188i | −0.0221532 | − | 0.0681806i | ||||
\(373\) | −6524.79 | − | 4740.54i | −0.905740 | − | 0.658059i | 0.0341938 | − | 0.999415i | \(-0.489114\pi\) |
−0.939934 | + | 0.341357i | \(0.889114\pi\) | |||||||
\(374\) | −5616.52 | −0.776533 | ||||||||
\(375\) | 2186.88 | + | 505.038i | 0.301147 | + | 0.0695468i | ||||
\(376\) | −9869.36 | −1.35365 | ||||||||
\(377\) | −3265.59 | − | 2372.59i | −0.446118 | − | 0.324124i | ||||
\(378\) | −283.071 | − | 871.203i | −0.0385175 | − | 0.118545i | ||||
\(379\) | 804.469 | + | 2475.90i | 0.109031 | + | 0.335563i | 0.990655 | − | 0.136389i | \(-0.0435496\pi\) |
−0.881624 | + | 0.471952i | \(0.843550\pi\) | |||||||
\(380\) | −840.389 | + | 4608.53i | −0.113450 | + | 0.622138i | ||||
\(381\) | −247.921 | + | 763.023i | −0.0333370 | + | 0.102601i | ||||
\(382\) | 4192.83 | 0.561581 | ||||||||
\(383\) | 2941.06 | − | 9051.66i | 0.392380 | − | 1.20762i | −0.538604 | − | 0.842559i | \(-0.681048\pi\) |
0.930984 | − | 0.365061i | \(-0.118952\pi\) | |||||||
\(384\) | −847.950 | + | 616.072i | −0.112687 | + | 0.0818718i | ||||
\(385\) | −2735.24 | + | 2610.69i | −0.362079 | + | 0.345592i | ||||
\(386\) | −2885.42 | − | 2096.38i | −0.380477 | − | 0.276433i | ||||
\(387\) | 3662.40 | − | 2660.89i | 0.481061 | − | 0.349511i | ||||
\(388\) | −6215.03 | + | 4515.48i | −0.813197 | + | 0.590822i | ||||
\(389\) | −3945.71 | − | 2866.72i | −0.514281 | − | 0.373647i | 0.300164 | − | 0.953888i | \(-0.402959\pi\) |
−0.814445 | + | 0.580241i | \(0.802959\pi\) | |||||||
\(390\) | −985.331 | + | 132.616i | −0.127934 | + | 0.0172186i | ||||
\(391\) | 5303.45 | − | 3853.18i | 0.685951 | − | 0.498373i | ||||
\(392\) | 2227.74 | − | 6856.29i | 0.287036 | − | 0.883405i | ||||
\(393\) | −416.262 | −0.0534291 | ||||||||
\(394\) | 1049.83 | − | 3231.06i | 0.134238 | − | 0.413143i | ||||
\(395\) | 11595.7 | − | 1560.67i | 1.47708 | − | 0.198800i | ||||
\(396\) | −1934.71 | − | 5954.43i | −0.245512 | − | 0.755609i | ||||
\(397\) | 230.334 | + | 708.897i | 0.0291188 | + | 0.0896184i | 0.964560 | − | 0.263865i | \(-0.0849972\pi\) |
−0.935441 | + | 0.353483i | \(0.884997\pi\) | |||||||
\(398\) | 4567.19 | + | 3318.26i | 0.575207 | + | 0.417912i | ||||
\(399\) | 887.666 | 0.111376 | ||||||||
\(400\) | −964.425 | + | 264.393i | −0.120553 | + | 0.0330491i | ||||
\(401\) | 14597.9 | 1.81792 | 0.908960 | − | 0.416883i | \(-0.136878\pi\) | ||||
0.908960 | + | 0.416883i | \(0.136878\pi\) | |||||||
\(402\) | −379.343 | − | 275.609i | −0.0470645 | − | 0.0341944i | ||||
\(403\) | −651.713 | − | 2005.77i | −0.0805562 | − | 0.247926i | ||||
\(404\) | −1461.69 | − | 4498.60i | −0.180004 | − | 0.553995i | ||||
\(405\) | −5183.53 | − | 2795.08i | −0.635979 | − | 0.342936i | ||||
\(406\) | −468.469 | + | 1441.80i | −0.0572653 | + | 0.176244i | ||||
\(407\) | −10527.4 | −1.28212 | ||||||||
\(408\) | 608.844 | − | 1873.83i | 0.0738781 | − | 0.227374i | ||||
\(409\) | −1138.26 | + | 826.991i | −0.137612 | + | 0.0999807i | −0.654461 | − | 0.756095i | \(-0.727105\pi\) |
0.516850 | + | 0.856076i | \(0.327105\pi\) | |||||||
\(410\) | 131.666 | − | 722.028i | 0.0158598 | − | 0.0869718i | ||||
\(411\) | −197.852 | − | 143.748i | −0.0237453 | − | 0.0172520i | ||||
\(412\) | 334.134 | − | 242.762i | 0.0399553 | − | 0.0290292i | ||||
\(413\) | 2759.44 | − | 2004.85i | 0.328773 | − | 0.238867i | ||||
\(414\) | −4632.62 | − | 3365.79i | −0.549953 | − | 0.399564i | ||||
\(415\) | −9233.20 | − | 4978.77i | −1.09214 | − | 0.588911i | ||||
\(416\) | −4115.96 | + | 2990.42i | −0.485100 | + | 0.352446i | ||||
\(417\) | −1126.03 | + | 3465.57i | −0.132235 | + | 0.406978i | ||||
\(418\) | −10010.4 | −1.17135 | ||||||||
\(419\) | −1471.61 | + | 4529.15i | −0.171582 | + | 0.528075i | −0.999461 | − | 0.0328318i | \(-0.989547\pi\) |
0.827879 | + | 0.560907i | \(0.189547\pi\) | |||||||
\(420\) | −206.384 | − | 429.498i | −0.0239774 | − | 0.0498984i | ||||
\(421\) | −1185.64 | − | 3649.02i | −0.137255 | − | 0.422429i | 0.858679 | − | 0.512515i | \(-0.171286\pi\) |
−0.995934 | + | 0.0900856i | \(0.971286\pi\) | |||||||
\(422\) | 2258.13 | + | 6949.82i | 0.260484 | + | 0.801687i | ||||
\(423\) | 8330.34 | + | 6052.34i | 0.957529 | + | 0.695686i | ||||
\(424\) | 16229.4 | 1.85889 | ||||||||
\(425\) | −4093.60 | + | 5115.26i | −0.467220 | + | 0.583828i | ||||
\(426\) | −1177.81 | −0.133956 | ||||||||
\(427\) | −174.617 | − | 126.866i | −0.0197899 | − | 0.0143782i | ||||
\(428\) | 92.7955 | + | 285.595i | 0.0104800 | + | 0.0322541i | ||||
\(429\) | 837.813 | + | 2578.52i | 0.0942890 | + | 0.290192i | ||||
\(430\) | −2810.73 | + | 2682.74i | −0.315222 | + | 0.300868i | ||||
\(431\) | −901.448 | + | 2774.37i | −0.100745 | + | 0.310062i | −0.988708 | − | 0.149853i | \(-0.952120\pi\) |
0.887963 | + | 0.459915i | \(0.152120\pi\) | |||||||
\(432\) | −660.657 | −0.0735784 | ||||||||
\(433\) | 648.396 | − | 1995.56i | 0.0719629 | − | 0.221479i | −0.908606 | − | 0.417655i | \(-0.862852\pi\) |
0.980569 | + | 0.196175i | \(0.0628522\pi\) | |||||||
\(434\) | −640.805 | + | 465.572i | −0.0708747 | + | 0.0514935i | ||||
\(435\) | −1062.84 | − | 2211.84i | −0.117148 | − | 0.243792i | ||||
\(436\) | 718.705 | + | 522.170i | 0.0789443 | + | 0.0573564i | ||||
\(437\) | 9452.40 | − | 6867.57i | 1.03471 | − | 0.751763i | ||||
\(438\) | −2848.60 | + | 2069.63i | −0.310757 | + | 0.225778i | ||||
\(439\) | 92.6878 | + | 67.3416i | 0.0100769 | + | 0.00732127i | 0.592812 | − | 0.805341i | \(-0.298018\pi\) |
−0.582735 | + | 0.812662i | \(0.698018\pi\) | |||||||
\(440\) | 6478.67 | + | 13482.5i | 0.701951 | + | 1.46081i | ||||
\(441\) | −6084.94 | + | 4420.97i | −0.657050 | + | 0.477375i | ||||
\(442\) | 896.814 | − | 2760.11i | 0.0965093 | − | 0.297025i | ||||
\(443\) | 251.202 | 0.0269413 | 0.0134706 | − | 0.999909i | \(-0.495712\pi\) | ||||
0.0134706 | + | 0.999909i | \(0.495712\pi\) | |||||||
\(444\) | 409.967 | − | 1261.75i | 0.0438202 | − | 0.134865i | ||||
\(445\) | −3780.27 | + | 3608.13i | −0.402701 | + | 0.384364i | ||||
\(446\) | 2106.63 | + | 6483.53i | 0.223659 | + | 0.688350i | ||||
\(447\) | −776.022 | − | 2388.35i | −0.0821131 | − | 0.252718i | ||||
\(448\) | 1852.20 | + | 1345.70i | 0.195331 | + | 0.141916i | ||||
\(449\) | 9890.92 | 1.03960 | 0.519801 | − | 0.854287i | \(-0.326006\pi\) | ||||
0.519801 | + | 0.854287i | \(0.326006\pi\) | |||||||
\(450\) | 5354.53 | + | 2020.03i | 0.560922 | + | 0.211611i | ||||
\(451\) | −2001.44 | −0.208967 | ||||||||
\(452\) | 5947.72 | + | 4321.27i | 0.618932 | + | 0.449680i | ||||
\(453\) | 1155.80 | + | 3557.19i | 0.119877 | + | 0.368944i | ||||
\(454\) | 403.029 | + | 1240.39i | 0.0416632 | + | 0.128226i | ||||
\(455\) | −846.215 | − | 1761.03i | −0.0871893 | − | 0.181447i | ||||
\(456\) | 1085.15 | − | 3339.75i | 0.111440 | − | 0.342978i | ||||
\(457\) | −3340.55 | −0.341935 | −0.170967 | − | 0.985277i | \(-0.554689\pi\) | ||||
−0.170967 | + | 0.985277i | \(0.554689\pi\) | |||||||
\(458\) | −3200.07 | + | 9848.81i | −0.326484 | + | 1.00481i | ||||
\(459\) | −3501.68 | + | 2544.12i | −0.356088 | + | 0.258713i | ||||
\(460\) | −5520.58 | − | 2976.83i | −0.559561 | − | 0.301729i | ||||
\(461\) | 9858.66 | + | 7162.73i | 0.996016 | + | 0.723648i | 0.961230 | − | 0.275747i | \(-0.0889251\pi\) |
0.0347857 | + | 0.999395i | \(0.488925\pi\) | |||||||
\(462\) | 823.790 | − | 598.518i | 0.0829571 | − | 0.0602719i | ||||
\(463\) | −8431.33 | + | 6125.72i | −0.846301 | + | 0.614873i | −0.924124 | − | 0.382094i | \(-0.875203\pi\) |
0.0778229 | + | 0.996967i | \(0.475203\pi\) | |||||||
\(464\) | 884.542 | + | 642.658i | 0.0884997 | + | 0.0642988i | ||||
\(465\) | 230.012 | − | 1261.34i | 0.0229388 | − | 0.125792i | ||||
\(466\) | 8117.20 | − | 5897.49i | 0.806914 | − | 0.586257i | ||||
\(467\) | 4094.04 | − | 12600.2i | 0.405673 | − | 1.24853i | −0.514658 | − | 0.857395i | \(-0.672081\pi\) |
0.920332 | − | 0.391139i | \(-0.127919\pi\) | |||||||
\(468\) | 3235.09 | 0.319534 | ||||||||
\(469\) | 284.744 | − | 876.352i | 0.0280347 | − | 0.0862818i | ||||
\(470\) | −7778.98 | − | 4194.61i | −0.763441 | − | 0.411666i | ||||
\(471\) | 144.178 | + | 443.735i | 0.0141048 | + | 0.0434102i | ||||
\(472\) | −4169.69 | − | 12833.0i | −0.406622 | − | 1.25145i | ||||
\(473\) | 8572.18 | + | 6228.05i | 0.833296 | + | 0.605425i | ||||
\(474\) | −3150.87 | −0.305325 | ||||||||
\(475\) | −7296.07 | + | 9117.00i | −0.704772 | + | 0.880667i | ||||
\(476\) | 1390.95 | 0.133937 | ||||||||
\(477\) | −13698.6 | − | 9952.64i | −1.31492 | − | 0.955346i | ||||
\(478\) | −2886.12 | − | 8882.57i | −0.276168 | − | 0.849957i | ||||
\(479\) | 232.883 | + | 716.739i | 0.0222144 | + | 0.0683688i | 0.961549 | − | 0.274633i | \(-0.0885563\pi\) |
−0.939335 | + | 0.343002i | \(0.888556\pi\) | |||||||
\(480\) | −3065.32 | + | 412.561i | −0.291484 | + | 0.0392308i | ||||
\(481\) | 1680.95 | − | 5173.42i | 0.159344 | − | 0.490411i | ||||
\(482\) | −2560.72 | −0.241987 | ||||||||
\(483\) | −367.260 | + | 1130.31i | −0.0345982 | + | 0.106482i | ||||
\(484\) | 7025.65 | − | 5104.43i | 0.659810 | − | 0.479380i | ||||
\(485\) | −18978.1 | + | 2554.26i | −1.77681 | + | 0.239140i | ||||
\(486\) | 4664.84 | + | 3389.21i | 0.435394 | + | 0.316332i | ||||
\(487\) | −1593.20 | + | 1157.53i | −0.148244 | + | 0.107705i | −0.659435 | − | 0.751762i | \(-0.729204\pi\) |
0.511191 | + | 0.859467i | \(0.329204\pi\) | |||||||
\(488\) | −690.786 | + | 501.886i | −0.0640787 | + | 0.0465559i | ||||
\(489\) | −2553.73 | − | 1855.40i | −0.236163 | − | 0.171583i | ||||
\(490\) | 4669.91 | − | 4457.27i | 0.430541 | − | 0.410936i | ||||
\(491\) | −12244.4 | + | 8896.07i | −1.12542 | + | 0.817666i | −0.985022 | − | 0.172429i | \(-0.944838\pi\) |
−0.140398 | + | 0.990095i | \(0.544838\pi\) | |||||||
\(492\) | 77.9420 | − | 239.881i | 0.00714207 | − | 0.0219810i | ||||
\(493\) | 7163.15 | 0.654386 | ||||||||
\(494\) | 1598.40 | − | 4919.38i | 0.145578 | − | 0.448043i | ||||
\(495\) | 2799.72 | − | 15353.1i | 0.254218 | − | 1.39408i | ||||
\(496\) | 176.528 | + | 543.297i | 0.0159805 | + | 0.0491830i | ||||
\(497\) | −715.247 | − | 2201.30i | −0.0645538 | − | 0.198676i | ||||
\(498\) | 2285.42 | + | 1660.46i | 0.205647 | + | 0.149411i | ||||
\(499\) | 12081.3 | 1.08384 | 0.541918 | − | 0.840431i | \(-0.317698\pi\) | ||||
0.541918 | + | 0.840431i | \(0.317698\pi\) | |||||||
\(500\) | 6107.61 | + | 1410.49i | 0.546281 | + | 0.126158i | ||||
\(501\) | 3298.83 | 0.294173 | ||||||||
\(502\) | 85.4248 | + | 62.0647i | 0.00759501 | + | 0.00551810i | ||||
\(503\) | −1951.30 | − | 6005.48i | −0.172970 | − | 0.532348i | 0.826565 | − | 0.562842i | \(-0.190292\pi\) |
−0.999535 | + | 0.0304937i | \(0.990292\pi\) | |||||||
\(504\) | −1045.13 | − | 3216.59i | −0.0923689 | − | 0.284282i | ||||
\(505\) | 2115.20 | − | 11599.4i | 0.186387 | − | 1.02211i | ||||
\(506\) | 4141.67 | − | 12746.8i | 0.363873 | − | 1.11989i | ||||
\(507\) | 2127.43 | 0.186356 | ||||||||
\(508\) | −692.405 | + | 2131.00i | −0.0604734 | + | 0.186118i | ||||
\(509\) | −1730.89 | + | 1257.57i | −0.150728 | + | 0.109510i | −0.660593 | − | 0.750744i | \(-0.729695\pi\) |
0.509865 | + | 0.860254i | \(0.329695\pi\) | |||||||
\(510\) | 1276.29 | − | 1218.18i | 0.110814 | − | 0.105768i | ||||
\(511\) | −5597.95 | − | 4067.15i | −0.484616 | − | 0.352094i | ||||
\(512\) | 2326.83 | − | 1690.54i | 0.200845 | − | 0.145922i | ||||
\(513\) | −6241.09 | + | 4534.42i | −0.537136 | + | 0.390252i | ||||
\(514\) | 890.430 | + | 646.935i | 0.0764108 | + | 0.0555157i | ||||
\(515\) | 1020.30 | − | 137.323i | 0.0873010 | − | 0.0117498i | ||||
\(516\) | −1080.29 | + | 784.873i | −0.0921646 | + | 0.0669615i | ||||
\(517\) | −7447.53 | + | 22921.1i | −0.633544 | + | 1.94985i | ||||
\(518\) | −2042.99 | −0.173289 | ||||||||
\(519\) | 634.488 | − | 1952.75i | 0.0536627 | − | 0.165157i | ||||
\(520\) | −7660.16 | + | 1030.98i | −0.646000 | + | 0.0869451i | ||||
\(521\) | 3873.88 | + | 11922.6i | 0.325754 | + | 1.00257i | 0.971099 | + | 0.238677i | \(0.0767137\pi\) |
−0.645345 | + | 0.763891i | \(0.723286\pi\) | |||||||
\(522\) | −1933.55 | − | 5950.84i | −0.162125 | − | 0.498968i | ||||
\(523\) | 4612.96 | + | 3351.51i | 0.385680 | + | 0.280213i | 0.763683 | − | 0.645591i | \(-0.223389\pi\) |
−0.378003 | + | 0.925804i | \(0.623389\pi\) | |||||||
\(524\) | −1162.56 | −0.0969207 | ||||||||
\(525\) | 55.3160 | − | 1186.50i | 0.00459845 | − | 0.0986343i | ||||
\(526\) | −899.676 | −0.0745774 | ||||||||
\(527\) | 3027.83 | + | 2199.85i | 0.250274 | + | 0.181835i | ||||
\(528\) | −226.936 | − | 698.438i | −0.0187048 | − | 0.0575675i | ||||
\(529\) | 1074.22 | + | 3306.10i | 0.0882893 | + | 0.271727i | ||||
\(530\) | 12792.0 | + | 6897.74i | 1.04839 | + | 0.565318i | ||||
\(531\) | −4350.31 | + | 13388.9i | −0.355531 | + | 1.09421i | ||||
\(532\) | 2479.11 | 0.202036 | ||||||||
\(533\) | 319.578 | − | 983.559i | 0.0259708 | − | 0.0799300i | ||||
\(534\) | 1138.53 | − | 827.190i | 0.0922640 | − | 0.0670337i | ||||
\(535\) | −134.284 | + | 736.388i | −0.0108516 | + | 0.0595081i | ||||
\(536\) | −2949.09 | − | 2142.64i | −0.237652 | − | 0.172664i | ||||
\(537\) | 605.949 | − | 440.248i | 0.0486939 | − | 0.0353782i | ||||
\(538\) | −7341.55 | + | 5333.95i | −0.588321 | + | 0.427440i | ||||
\(539\) | −14242.3 | − | 10347.7i | −1.13815 | − | 0.826912i | ||||
\(540\) | 3645.04 | + | 1965.50i | 0.290477 | + | 0.156632i | ||||
\(541\) | 13794.1 | − | 10022.0i | 1.09622 | − | 0.796448i | 0.115778 | − | 0.993275i | \(-0.463064\pi\) |
0.980438 | + | 0.196827i | \(0.0630638\pi\) | |||||||
\(542\) | 2702.98 | − | 8318.91i | 0.214212 | − | 0.659276i | ||||
\(543\) | −1872.77 | −0.148008 | ||||||||
\(544\) | 2789.95 | − | 8586.58i | 0.219886 | − | 0.676740i | ||||
\(545\) | 959.094 | + | 1995.94i | 0.0753818 | + | 0.156874i | ||||
\(546\) | 162.590 | + | 500.400i | 0.0127440 | + | 0.0392219i | ||||
\(547\) | 2044.23 | + | 6291.50i | 0.159790 | + | 0.491783i | 0.998615 | − | 0.0526188i | \(-0.0167568\pi\) |
−0.838825 | + | 0.544401i | \(0.816757\pi\) | |||||||
\(548\) | −552.569 | − | 401.465i | −0.0430741 | − | 0.0312951i | ||||
\(549\) | 890.845 | 0.0692538 | ||||||||
\(550\) | −623.810 | + | 13380.4i | −0.0483624 | + | 1.03735i | ||||
\(551\) | 12767.0 | 0.987099 | ||||||||
\(552\) | 3803.71 | + | 2763.56i | 0.293291 | + | 0.213088i | ||||
\(553\) | −1913.42 | − | 5888.90i | −0.147137 | − | 0.452842i | ||||
\(554\) | 4842.26 | + | 14903.0i | 0.371350 | + | 1.14290i | ||||
\(555\) | 2392.22 | − | 2283.29i | 0.182962 | − | 0.174631i | ||||
\(556\) | −3144.83 | + | 9678.80i | −0.239875 | + | 0.738260i | ||||
\(557\) | 567.016 | 0.0431333 | 0.0215667 | − | 0.999767i | \(-0.493135\pi\) | ||||
0.0215667 | + | 0.999767i | \(0.493135\pi\) | |||||||
\(558\) | 1010.24 | − | 3109.20i | 0.0766432 | − | 0.235883i | ||||
\(559\) | −4429.39 | + | 3218.14i | −0.335140 | + | 0.243493i | ||||
\(560\) | 229.212 | + | 477.005i | 0.0172964 | + | 0.0359949i | ||||
\(561\) | −3892.45 | − | 2828.03i | −0.292940 | − | 0.212833i | ||||
\(562\) | −8384.05 | + | 6091.37i | −0.629288 | + | 0.457204i | ||||
\(563\) | −13555.5 | + | 9848.62i | −1.01473 | + | 0.737247i | −0.965197 | − | 0.261526i | \(-0.915774\pi\) |
−0.0495366 | + | 0.998772i | \(0.515774\pi\) | |||||||
\(564\) | −2457.17 | − | 1785.24i | −0.183449 | − | 0.133284i | ||||
\(565\) | 7937.09 | + | 16517.6i | 0.591001 | + | 1.22991i | ||||
\(566\) | 790.712 | − | 574.486i | 0.0587210 | − | 0.0426633i | ||||
\(567\) | −963.079 | + | 2964.05i | −0.0713324 | + | 0.219539i | ||||
\(568\) | −9156.55 | −0.676409 | ||||||||
\(569\) | 1889.04 | − | 5813.88i | 0.139179 | − | 0.428349i | −0.857038 | − | 0.515254i | \(-0.827698\pi\) |
0.996217 | + | 0.0869048i | \(0.0276976\pi\) | |||||||
\(570\) | 2274.75 | − | 2171.17i | 0.167156 | − | 0.159544i | ||||
\(571\) | −3930.14 | − | 12095.7i | −0.288041 | − | 0.886499i | −0.985471 | − | 0.169846i | \(-0.945673\pi\) |
0.697430 | − | 0.716653i | \(-0.254327\pi\) | |||||||
\(572\) | 2339.88 | + | 7201.41i | 0.171041 | + | 0.526409i | ||||
\(573\) | 2905.78 | + | 2111.17i | 0.211851 | + | 0.153919i | ||||
\(574\) | −388.408 | −0.0282436 | ||||||||
\(575\) | −8590.49 | − | 13062.5i | −0.623041 | − | 0.947381i | ||||
\(576\) | −9449.40 | −0.683551 | ||||||||
\(577\) | 8937.40 | + | 6493.40i | 0.644833 | + | 0.468499i | 0.861507 | − | 0.507745i | \(-0.169521\pi\) |
−0.216674 | + | 0.976244i | \(0.569521\pi\) | |||||||
\(578\) | −1254.78 | − | 3861.80i | −0.0902972 | − | 0.277906i | ||||
\(579\) | −944.130 | − | 2905.73i | −0.0677663 | − | 0.208563i | ||||
\(580\) | −2968.34 | − | 6177.31i | −0.212506 | − | 0.442239i | ||||
\(581\) | −1715.49 | + | 5279.74i | −0.122497 | + | 0.377006i | ||||
\(582\) | 5156.85 | 0.367282 | ||||||||
\(583\) | 12246.9 | − | 37692.1i | 0.870009 | − | 2.67761i | ||||
\(584\) | −22145.6 | + | 16089.7i | −1.56916 | + | 1.14006i | ||||
\(585\) | 7097.88 | + | 3827.35i | 0.501643 | + | 0.270498i | ||||
\(586\) | 3351.48 | + | 2434.99i | 0.236260 | + | 0.171653i | ||||
\(587\) | −6410.81 | + | 4657.73i | −0.450771 | + | 0.327504i | −0.789900 | − | 0.613236i | \(-0.789868\pi\) |
0.339129 | + | 0.940740i | \(0.389868\pi\) | |||||||
\(588\) | 1794.85 | − | 1304.04i | 0.125882 | − | 0.0914584i | ||||
\(589\) | 5396.55 | + | 3920.82i | 0.377523 | + | 0.274286i | ||||
\(590\) | 2167.67 | − | 11887.1i | 0.151257 | − | 0.829463i | ||||
\(591\) | 2354.47 | − | 1710.62i | 0.163875 | − | 0.119062i | ||||
\(592\) | −455.314 | + | 1401.31i | −0.0316103 | + | 0.0972864i | ||||
\(593\) | 14752.2 | 1.02158 | 0.510792 | − | 0.859704i | \(-0.329352\pi\) | ||||
0.510792 | + | 0.859704i | \(0.329352\pi\) | |||||||
\(594\) | −2734.60 | + | 8416.24i | −0.188892 | + | 0.581351i | ||||
\(595\) | 3051.79 | + | 1645.60i | 0.210271 | + | 0.113383i | ||||
\(596\) | −2167.31 | − | 6670.28i | −0.148954 | − | 0.458432i | ||||
\(597\) | 1494.41 | + | 4599.33i | 0.102449 | + | 0.315307i | ||||
\(598\) | 5602.78 | + | 4070.66i | 0.383135 | + | 0.278364i | ||||
\(599\) | −610.057 | −0.0416131 | −0.0208065 | − | 0.999784i | \(-0.506623\pi\) | ||||
−0.0208065 | + | 0.999784i | \(0.506623\pi\) | |||||||
\(600\) | −4396.45 | − | 1658.59i | −0.299141 | − | 0.112853i | ||||
\(601\) | −16775.8 | −1.13860 | −0.569300 | − | 0.822130i | \(-0.692786\pi\) | ||||
−0.569300 | + | 0.822130i | \(0.692786\pi\) | |||||||
\(602\) | 1663.56 | + | 1208.64i | 0.112627 | + | 0.0818284i | ||||
\(603\) | 1175.25 | + | 3617.04i | 0.0793693 | + | 0.244274i | ||||
\(604\) | 3227.97 | + | 9934.68i | 0.217458 | + | 0.669266i | ||||
\(605\) | 21453.4 | − | 2887.41i | 1.44166 | − | 0.194033i | ||||
\(606\) | −981.190 | + | 3019.79i | −0.0657725 | + | 0.202427i | ||||
\(607\) | 10205.9 | 0.682445 | 0.341222 | − | 0.939983i | \(-0.389159\pi\) | ||||
0.341222 | + | 0.939983i | \(0.389159\pi\) | |||||||
\(608\) | 4972.56 | − | 15304.0i | 0.331684 | − | 1.02082i | ||||
\(609\) | −1050.64 | + | 763.333i | −0.0699080 | + | 0.0507912i | ||||
\(610\) | −757.782 | + | 101.990i | −0.0502979 | + | 0.00676959i | ||||
\(611\) | −10074.9 | − | 7319.83i | −0.667080 | − | 0.484662i | ||||
\(612\) | −4644.55 | + | 3374.47i | −0.306773 | + | 0.222883i | ||||
\(613\) | −7211.16 | + | 5239.22i | −0.475132 | + | 0.345204i | −0.799438 | − | 0.600749i | \(-0.794869\pi\) |
0.324306 | + | 0.945952i | \(0.394869\pi\) | |||||||
\(614\) | −15312.1 | − | 11124.9i | −1.00643 | − | 0.731212i | ||||
\(615\) | 454.804 | − | 434.094i | 0.0298203 | − | 0.0284624i | ||||
\(616\) | 6404.30 | − | 4653.00i | 0.418891 | − | 0.304342i | ||||
\(617\) | 5702.91 | − | 17551.7i | 0.372108 | − | 1.14523i | −0.573302 | − | 0.819344i | \(-0.694338\pi\) |
0.945409 | − | 0.325885i | \(-0.105662\pi\) | |||||||
\(618\) | −277.244 | −0.0180459 | ||||||||
\(619\) | 5256.38 | − | 16177.5i | 0.341312 | − | 1.05045i | −0.622217 | − | 0.782845i | \(-0.713768\pi\) |
0.963529 | − | 0.267605i | \(-0.0862321\pi\) | |||||||
\(620\) | 642.386 | − | 3522.72i | 0.0416110 | − | 0.228187i | ||||
\(621\) | −3191.74 | − | 9823.16i | −0.206248 | − | 0.634766i | ||||
\(622\) | 3220.42 | + | 9911.43i | 0.207600 | + | 0.638927i | ||||
\(623\) | 2237.39 | + | 1625.56i | 0.143883 | + | 0.104537i | ||||
\(624\) | 379.467 | 0.0243443 | ||||||||
\(625\) | 11731.6 | + | 10320.4i | 0.750820 | + | 0.660507i | ||||
\(626\) | −10999.6 | −0.702288 | ||||||||
\(627\) | −6937.56 | − | 5040.43i | −0.441881 | − | 0.321045i | ||||
\(628\) | 402.667 | + | 1239.28i | 0.0255862 | + | 0.0787464i | ||||
\(629\) | 2983.01 | + | 9180.75i | 0.189094 | + | 0.581972i | ||||
\(630\) | 543.327 | − | 2979.49i | 0.0343598 | − | 0.188422i | ||||
\(631\) | 6272.07 | − | 19303.5i | 0.395701 | − | 1.21784i | −0.532713 | − | 0.846296i | \(-0.678828\pi\) |
0.928414 | − | 0.371547i | \(-0.121172\pi\) | |||||||
\(632\) | −24495.5 | −1.54174 | ||||||||
\(633\) | −1934.40 | + | 5953.48i | −0.121462 | + | 0.373822i | ||||
\(634\) | 483.892 | − | 351.568i | 0.0303120 | − | 0.0220230i | ||||
\(635\) | −4040.29 | + | 3856.32i | −0.252495 | + | 0.240997i | ||||
\(636\) | 4040.63 | + | 2935.69i | 0.251921 | + | 0.183031i | ||||
\(637\) | 7359.25 | − | 5346.81i | 0.457746 | − | 0.332572i | ||||
\(638\) | 11848.3 | − | 8608.27i | 0.735231 | − | 0.534177i | ||||
\(639\) | 7728.68 | + | 5615.22i | 0.478470 | + | 0.347628i | ||||
\(640\) | −7231.47 | + | 973.282i | −0.446639 | + | 0.0601131i | ||||
\(641\) | −13946.6 | + | 10132.8i | −0.859371 | + | 0.624370i | −0.927714 | − | 0.373292i | \(-0.878229\pi\) |
0.0683428 | + | 0.997662i | \(0.478229\pi\) | |||||||
\(642\) | 62.2911 | − | 191.712i | 0.00382934 | − | 0.0117855i | ||||
\(643\) | 1616.35 | 0.0991331 | 0.0495666 | − | 0.998771i | \(-0.484216\pi\) | ||||
0.0495666 | + | 0.998771i | \(0.484216\pi\) | |||||||
\(644\) | −1025.70 | + | 3156.78i | −0.0627613 | + | 0.193159i | ||||
\(645\) | −3298.74 | + | 443.977i | −0.201376 | + | 0.0271032i | ||||
\(646\) | 2836.52 | + | 8729.92i | 0.172758 | + | 0.531694i | ||||
\(647\) | −1752.03 | − | 5392.20i | −0.106460 | − | 0.327649i | 0.883611 | − | 0.468223i | \(-0.155105\pi\) |
−0.990070 | + | 0.140573i | \(0.955105\pi\) | |||||||
\(648\) | 9974.59 | + | 7246.96i | 0.604690 | + | 0.439333i | ||||
\(649\) | −32950.5 | −1.99295 | ||||||||
\(650\) | −6475.88 | − | 2443.06i | −0.390777 | − | 0.147423i | ||||
\(651\) | −678.524 | −0.0408502 | ||||||||
\(652\) | −7132.18 | − | 5181.83i | −0.428401 | − | 0.311252i | ||||
\(653\) | −7617.70 | − | 23444.9i | −0.456514 | − | 1.40501i | −0.869349 | − | 0.494199i | \(-0.835461\pi\) |
0.412835 | − | 0.910806i | \(-0.364539\pi\) | |||||||
\(654\) | −184.278 | − | 567.151i | −0.0110181 | − | 0.0339103i | ||||
\(655\) | −2550.68 | − | 1375.39i | −0.152158 | − | 0.0820472i | ||||
\(656\) | −86.5632 | + | 266.414i | −0.00515202 | + | 0.0158563i | ||||
\(657\) | 28559.2 | 1.69589 | ||||||||
\(658\) | −1445.30 | + | 4448.18i | −0.0856288 | + | 0.263538i | ||||
\(659\) | 1095.83 | − | 796.169i | 0.0647763 | − | 0.0470627i | −0.554926 | − | 0.831900i | \(-0.687253\pi\) |
0.619702 | + | 0.784837i | \(0.287253\pi\) | |||||||
\(660\) | −825.823 | + | 4528.65i | −0.0487047 | + | 0.267087i | ||||
\(661\) | −7325.16 | − | 5322.04i | −0.431037 | − | 0.313167i | 0.351026 | − | 0.936366i | \(-0.385833\pi\) |
−0.782064 | + | 0.623199i | \(0.785833\pi\) | |||||||
\(662\) | −4441.70 | + | 3227.08i | −0.260773 | + | 0.189462i | ||||
\(663\) | 2011.29 | − | 1461.29i | 0.117816 | − | 0.0855984i | ||||
\(664\) | 17767.3 | + | 12908.7i | 1.03841 | + | 0.754450i | ||||
\(665\) | 5439.25 | + | 2932.97i | 0.317180 | + | 0.171031i | ||||
\(666\) | 6821.77 | − | 4956.31i | 0.396905 | − | 0.288368i | ||||
\(667\) | −5282.17 | + | 16256.9i | −0.306636 | + | 0.943730i | ||||
\(668\) | 9213.10 | 0.533631 | ||||||||
\(669\) | −1804.62 | + | 5554.04i | −0.104291 | + | 0.320974i | ||||
\(670\) | −1413.81 | − | 2942.22i | −0.0815225 | − | 0.169654i | ||||
\(671\) | 644.331 | + | 1983.05i | 0.0370703 | + | 0.114091i | ||||
\(672\) | 505.810 | + | 1556.72i | 0.0290358 | + | 0.0893630i | ||||
\(673\) | −6967.78 | − | 5062.39i | −0.399091 | − | 0.289956i | 0.370080 | − | 0.929000i | \(-0.379330\pi\) |
−0.769171 | + | 0.639044i | \(0.779330\pi\) | |||||||
\(674\) | 9674.72 | 0.552903 | ||||||||
\(675\) | 5672.00 | + | 8624.71i | 0.323430 | + | 0.491801i | ||||
\(676\) | 5941.57 | 0.338050 | ||||||||
\(677\) | 6541.98 | + | 4753.03i | 0.371387 | + | 0.269828i | 0.757786 | − | 0.652503i | \(-0.226281\pi\) |
−0.386399 | + | 0.922332i | \(0.626281\pi\) | |||||||
\(678\) | −1525.02 | − | 4693.52i | −0.0863833 | − | 0.265860i | ||||
\(679\) | 3131.59 | + | 9638.03i | 0.176994 | + | 0.544733i | ||||
\(680\) | 9922.14 | − | 9470.33i | 0.559554 | − | 0.534075i | ||||
\(681\) | −345.250 | + | 1062.57i | −0.0194273 | + | 0.0597911i | ||||
\(682\) | 7651.86 | 0.429626 | ||||||||
\(683\) | −10597.5 | + | 32615.7i | −0.593706 | + | 1.82724i | −0.0326425 | + | 0.999467i | \(0.510392\pi\) |
−0.561064 | + | 0.827773i | \(0.689608\pi\) | |||||||
\(684\) | −8278.05 | + | 6014.35i | −0.462747 | + | 0.336206i | ||||
\(685\) | −737.390 | − | 1534.56i | −0.0411303 | − | 0.0855948i | ||||
\(686\) | −5842.04 | − | 4244.49i | −0.325146 | − | 0.236232i | ||||
\(687\) | −7176.82 | + | 5214.27i | −0.398563 | + | 0.289573i | ||||
\(688\) | 1199.78 | − | 871.689i | 0.0664841 | − | 0.0483035i | ||||
\(689\) | 16567.4 | + | 12036.9i | 0.916064 | + | 0.665559i | ||||
\(690\) | 1823.51 | + | 3794.85i | 0.100609 | + | 0.209373i | ||||
\(691\) | −8077.57 | + | 5868.70i | −0.444697 | + | 0.323091i | −0.787498 | − | 0.616317i | \(-0.788624\pi\) |
0.342802 | + | 0.939408i | \(0.388624\pi\) | |||||||
\(692\) | 1772.02 | − | 5453.73i | 0.0973443 | − | 0.299595i | ||||
\(693\) | −8259.05 | −0.452721 | ||||||||
\(694\) | 1013.53 | − | 3119.33i | 0.0554368 | − | 0.170617i | ||||
\(695\) | −18350.6 | + | 17515.0i | −1.00155 | + | 0.955945i | ||||
\(696\) | 1587.58 | + | 4886.07i | 0.0864613 | + | 0.266101i | ||||
\(697\) | 567.122 | + | 1745.42i | 0.0308196 | + | 0.0948531i | ||||
\(698\) | 2692.33 | + | 1956.09i | 0.145997 | + | 0.106073i | ||||
\(699\) | 8595.00 | 0.465082 | ||||||||
\(700\) | 154.489 | − | 3313.70i | 0.00834161 | − | 0.178923i | ||||
\(701\) | 2668.87 | 0.143797 | 0.0718987 | − | 0.997412i | \(-0.477094\pi\) | ||||
0.0718987 | + | 0.997412i | \(0.477094\pi\) | |||||||
\(702\) | −3699.32 | − | 2687.71i | −0.198892 | − | 0.144503i | ||||
\(703\) | 5316.65 | + | 16363.0i | 0.285236 | + | 0.877867i | ||||
\(704\) | −6834.58 | − | 21034.7i | −0.365892 | − | 1.12610i | ||||
\(705\) | −3279.03 | − | 6823.88i | −0.175171 | − | 0.364542i | ||||
\(706\) | 191.181 | − | 588.395i | 0.0101915 | − | 0.0313662i | ||||
\(707\) | −6239.76 | −0.331924 | ||||||||
\(708\) | 1283.19 | − | 3949.26i | 0.0681149 | − | 0.209636i | ||||
\(709\) | 11300.0 | − | 8209.94i | 0.598563 | − | 0.434881i | −0.246806 | − | 0.969065i | \(-0.579381\pi\) |
0.845368 | + | 0.534184i | \(0.179381\pi\) | |||||||
\(710\) | −7217.14 | − | 3891.66i | −0.381485 | − | 0.205706i | ||||
\(711\) | 20675.7 | + | 15021.8i | 1.09057 | + | 0.792348i | ||||
\(712\) | 8851.15 | − | 6430.74i | 0.465886 | − | 0.338486i | ||||
\(713\) | −7225.33 | + | 5249.51i | −0.379510 | + | 0.275730i | ||||
\(714\) | −755.386 | − | 548.820i | −0.0395933 | − | 0.0287662i | ||||
\(715\) | −3386.04 | + | 18568.4i | −0.177106 | + | 0.971213i | ||||
\(716\) | 1692.32 | − | 1229.54i | 0.0883310 | − | 0.0641762i | ||||
\(717\) | 2472.36 | − | 7609.14i | 0.128775 | − | 0.396330i | ||||
\(718\) | 7875.35 | 0.409339 | ||||||||
\(719\) | 8185.68 | − | 25192.9i | 0.424582 | − | 1.30673i | −0.478812 | − | 0.877917i | \(-0.658933\pi\) |
0.903394 | − | 0.428811i | \(-0.141067\pi\) | |||||||
\(720\) | −1922.59 | − | 1036.71i | −0.0995146 | − | 0.0536607i | ||||
\(721\) | −168.361 | − | 518.162i | −0.00869638 | − | 0.0267647i | ||||
\(722\) | 1081.93 | + | 3329.84i | 0.0557691 | + | 0.171640i | ||||
\(723\) | −1774.67 | − | 1289.37i | −0.0912872 | − | 0.0663240i | ||||
\(724\) | −5230.35 | −0.268487 | ||||||||
\(725\) | 795.589 | − | 17065.0i | 0.0407551 | − | 0.874175i | ||||
\(726\) | −5829.46 | −0.298005 | ||||||||
\(727\) | −13903.6 | − | 10101.6i | −0.709295 | − | 0.515333i | 0.173651 | − | 0.984807i | \(-0.444444\pi\) |
−0.882946 | + | 0.469474i | \(0.844444\pi\) | |||||||
\(728\) | 1264.01 | + | 3890.21i | 0.0643505 | + | 0.198050i | ||||
\(729\) | −2868.44 | − | 8828.15i | −0.145732 | − | 0.448516i | ||||
\(730\) | −24293.4 | + | 3269.64i | −1.23170 | + | 0.165774i | ||||
\(731\) | 3002.40 | − | 9240.43i | 0.151912 | − | 0.467537i | ||||
\(732\) | −262.769 | −0.0132681 | ||||||||
\(733\) | −3541.75 | + | 10900.4i | −0.178469 | + | 0.549270i | −0.999775 | − | 0.0212175i | \(-0.993246\pi\) |
0.821306 | + | 0.570488i | \(0.193246\pi\) | |||||||
\(734\) | 17174.8 | − | 12478.2i | 0.863668 | − | 0.627491i | ||||
\(735\) | 5480.73 | − | 737.651i | 0.275047 | − | 0.0370186i | ||||
\(736\) | 17430.0 | + | 12663.6i | 0.872933 | + | 0.634223i | ||||
\(737\) | −7201.60 | + | 5232.27i | −0.359938 | + | 0.261510i | ||||
\(738\) | 1296.94 | − | 942.282i | 0.0646898 | − | 0.0469999i | ||||
\(739\) | −30512.3 | − | 22168.5i | −1.51883 | − | 1.10349i | −0.962066 | − | 0.272818i | \(-0.912044\pi\) |
−0.556760 | − | 0.830673i | \(-0.687956\pi\) | |||||||
\(740\) | 6681.10 | − | 6376.87i | 0.331895 | − | 0.316782i | ||||
\(741\) | 3584.75 | − | 2604.47i | 0.177718 | − | 0.129120i | ||||
\(742\) | 2376.69 | − | 7314.71i | 0.117589 | − | 0.361902i | ||||
\(743\) | −31924.8 | −1.57632 | −0.788160 | − | 0.615470i | \(-0.788966\pi\) | ||||
−0.788160 | + | 0.615470i | \(0.788966\pi\) | |||||||
\(744\) | −829.480 | + | 2552.88i | −0.0408739 | + | 0.125797i | ||||
\(745\) | 3136.31 | − | 17198.9i | 0.154235 | − | 0.845796i | ||||
\(746\) | 4672.37 | + | 14380.1i | 0.229313 | + | 0.705753i | ||||
\(747\) | −7080.48 | − | 21791.5i | −0.346802 | − | 1.06735i | ||||
\(748\) | −10871.0 | − | 7898.23i | −0.531394 | − | 0.386080i | ||||
\(749\) | 396.133 | 0.0193249 | ||||||||
\(750\) | −2760.34 | − | 3175.84i | −0.134391 | − | 0.154620i | ||||
\(751\) | 26464.6 | 1.28589 | 0.642946 | − | 0.765911i | \(-0.277712\pi\) | ||||
0.642946 | + | 0.765911i | \(0.277712\pi\) | |||||||
\(752\) | 2728.96 | + | 1982.70i | 0.132334 | + | 0.0961460i | ||||
\(753\) | 27.9516 | + | 86.0260i | 0.00135274 | + | 0.00416330i | ||||
\(754\) | 2338.47 | + | 7197.07i | 0.112947 | + | 0.347615i | ||||
\(755\) | −4671.20 | + | 25615.9i | −0.225169 | + | 1.23478i | ||||
\(756\) | 677.234 | − | 2084.31i | 0.0325804 | − | 0.100272i | ||||
\(757\) | −10652.8 | −0.511470 | −0.255735 | − | 0.966747i | \(-0.582317\pi\) | ||||
−0.255735 | + | 0.966747i | \(0.582317\pi\) | |||||||
\(758\) | 1508.19 | − | 4641.72i | 0.0722688 | − | 0.222421i | ||||
\(759\) | 9288.56 | − | 6748.54i | 0.444207 | − | 0.322736i | ||||
\(760\) | 17684.4 | − | 16879.1i | 0.844051 | − | 0.805617i | ||||
\(761\) | −9424.61 | − | 6847.38i | −0.448938 | − | 0.326173i | 0.340238 | − | 0.940339i | \(-0.389492\pi\) |
−0.789176 | + | 0.614167i | \(0.789492\pi\) | |||||||
\(762\) | 1216.84 | − | 884.088i | 0.0578498 | − | 0.0420304i | ||||
\(763\) | 948.085 | − | 688.824i | 0.0449842 | − | 0.0326830i | ||||
\(764\) | 8115.38 | + | 5896.17i | 0.384299 | + | 0.279209i | ||||
\(765\) | −14182.5 | + | 1908.83i | −0.670288 | + | 0.0902140i | ||||
\(766\) | −14435.3 | + | 10487.8i | −0.680898 | + | 0.494701i | ||||
\(767\) | 5261.35 | − | 16192.8i | 0.247688 | − | 0.762304i | ||||
\(768\) | 6936.37 | 0.325904 | ||||||||
\(769\) | −3694.13 | + | 11369.4i | −0.173230 | + | 0.533147i | −0.999548 | − | 0.0300565i | \(-0.990431\pi\) |
0.826318 | + | 0.563203i | \(0.190431\pi\) | |||||||
\(770\) | 7025.43 | − | 945.551i | 0.328804 | − | 0.0442536i | ||||
\(771\) | 291.354 | + | 896.697i | 0.0136094 | + | 0.0418855i | ||||
\(772\) | −2636.81 | − | 8115.25i | −0.122928 | − | 0.378335i | ||||
\(773\) | −16241.6 | − | 11800.2i | −0.755717 | − | 0.549061i | 0.141877 | − | 0.989884i | \(-0.454686\pi\) |
−0.897594 | + | 0.440824i | \(0.854686\pi\) | |||||||
\(774\) | −8487.00 | −0.394133 | ||||||||
\(775\) | 5577.05 | − | 6968.96i | 0.258495 | − | 0.323009i | ||||
\(776\) | 40090.4 | 1.85459 | ||||||||
\(777\) | −1415.86 | − | 1028.68i | −0.0653716 | − | 0.0474952i | ||||
\(778\) | 2825.50 | + | 8695.99i | 0.130204 | + | 0.400728i | ||||
\(779\) | 1010.79 | + | 3110.89i | 0.0464895 | + | 0.143080i | ||||
\(780\) | −2093.64 | − | 1128.94i | −0.0961079 | − | 0.0518237i | ||||
\(781\) | −6909.64 | + | 21265.7i | −0.316576 | + | 0.974322i | ||||
\(782\) | −12289.8 | −0.562000 | ||||||||
\(783\) | 3487.63 | − | 10733.8i | 0.159180 | − | 0.489905i | ||||
\(784\) | −1993.38 | + | 1448.28i | −0.0908064 | + | 0.0659747i | ||||
\(785\) | −582.699 | + | 3195.41i | −0.0264935 | + | 0.145285i | ||||
\(786\) | 631.350 | + | 458.703i | 0.0286508 | + | 0.0208160i | ||||
\(787\) | 22616.7 | − | 16432.0i | 1.02439 | − | 0.744266i | 0.0572147 | − | 0.998362i | \(-0.481778\pi\) |
0.967179 | + | 0.254096i | \(0.0817780\pi\) | |||||||
\(788\) | 6575.66 | − | 4777.50i | 0.297269 | − | 0.215979i | ||||
\(789\) | −623.507 | − | 453.004i | −0.0281336 | − | 0.0204403i | ||||
\(790\) | −19307.2 | − | 10410.9i | −0.869518 | − | 0.468866i | ||||
\(791\) | 7845.98 | − | 5700.43i | 0.352681 | − | 0.256238i | ||||
\(792\) | −10096.5 | + | 31073.8i | −0.452984 | + | 1.39414i | ||||
\(793\) | −1077.41 | −0.0482469 | ||||||||
\(794\) | 431.822 | − | 1329.01i | 0.0193007 | − | 0.0594015i | ||||
\(795\) | 5392.13 | + | 11221.4i | 0.240552 | + | 0.500605i | ||||
\(796\) | 4173.66 | + | 12845.2i | 0.185844 | + | 0.571968i | ||||
\(797\) | 9441.64 | + | 29058.4i | 0.419624 | + | 1.29147i | 0.908049 | + | 0.418863i | \(0.137571\pi\) |
−0.488426 | + | 0.872605i | \(0.662429\pi\) | |||||||
\(798\) | −1346.33 | − | 978.169i | −0.0597240 | − | 0.0433920i | ||||
\(799\) | 22099.5 | 0.978503 | ||||||||
\(800\) | −20146.2 | − | 7600.25i | −0.890343 | − | 0.335887i | ||||
\(801\) | −11414.5 | −0.503511 | ||||||||
\(802\) | −22140.9 | − | 16086.3i | −0.974839 | − | 0.708262i | ||||
\(803\) | 20656.3 | + | 63573.6i | 0.907777 | + | 2.79385i | ||||
\(804\) | −346.658 | − | 1066.90i | −0.0152061 | − | 0.0467995i | ||||
\(805\) | −5985.13 | + | 5712.59i | −0.262047 | + | 0.250115i | ||||
\(806\) | −1221.81 | + | 3760.33i | −0.0533949 | + | 0.164332i | ||||
\(807\) | −7773.69 | −0.339091 | ||||||||
\(808\) | −7627.96 | + | 23476.4i | −0.332117 | + | 1.02215i | ||||
\(809\) | 2550.54 | − | 1853.08i | 0.110843 | − | 0.0805324i | −0.530983 | − | 0.847383i | \(-0.678177\pi\) |
0.641826 | + | 0.766850i | \(0.278177\pi\) | |||||||
\(810\) | 4781.86 | + | 9951.36i | 0.207429 | + | 0.431673i | ||||
\(811\) | −292.128 | − | 212.243i | −0.0126486 | − | 0.00918973i | 0.581443 | − | 0.813587i | \(-0.302488\pi\) |
−0.594092 | + | 0.804397i | \(0.702488\pi\) | |||||||
\(812\) | −2934.27 | + | 2131.87i | −0.126813 | + | 0.0921354i | ||||
\(813\) | 6061.99 | − | 4404.29i | 0.261505 | − | 0.189994i | ||||
\(814\) | 15967.0 | + | 11600.7i | 0.687521 | + | 0.499513i | ||||
\(815\) | −9517.72 | − | 19807.0i | −0.409069 | − | 0.851299i | ||||
\(816\) | −544.793 | + | 395.816i | −0.0233720 | + | 0.0169808i | ||||
\(817\) | 5351.21 | − | 16469.3i | 0.229150 | − | 0.705250i | ||||
\(818\) | 2637.71 | 0.112745 | ||||||||
\(819\) | 1318.76 | − | 4058.72i | 0.0562651 | − | 0.173166i | ||||
\(820\) | 1270.20 | − | 1212.36i | 0.0540941 | − | 0.0516309i | ||||
\(821\) | −5224.35 | − | 16078.9i | −0.222084 | − | 0.683505i | −0.998574 | − | 0.0533758i | \(-0.983002\pi\) |
0.776490 | − | 0.630129i | \(-0.216998\pi\) | |||||||
\(822\) | 141.681 | + | 436.048i | 0.00601178 | + | 0.0185023i | ||||
\(823\) | 10939.7 | + | 7948.18i | 0.463348 | + | 0.336642i | 0.794843 | − | 0.606815i | \(-0.207553\pi\) |
−0.331495 | + | 0.943457i | \(0.607553\pi\) | |||||||
\(824\) | −2155.35 | −0.0911226 | ||||||||
\(825\) | −7169.61 | + | 8958.97i | −0.302562 | + | 0.378075i | ||||
\(826\) | −6394.53 | −0.269364 | ||||||||
\(827\) | 26154.0 | + | 19002.0i | 1.09971 | + | 0.798988i | 0.981013 | − | 0.193942i | \(-0.0621273\pi\) |
0.118700 | + | 0.992930i | \(0.462127\pi\) | |||||||
\(828\) | −4233.45 | − | 13029.2i | −0.177684 | − | 0.546856i | ||||
\(829\) | −8942.80 | − | 27523.1i | −0.374664 | − | 1.15310i | −0.943705 | − | 0.330787i | \(-0.892686\pi\) |
0.569042 | − | 0.822309i | \(-0.307314\pi\) | |||||||
\(830\) | 8517.72 | + | 17725.9i | 0.356210 | + | 0.741297i | ||||
\(831\) | −4148.07 | + | 12766.4i | −0.173159 | + | 0.532928i | ||||
\(832\) | 11428.3 | 0.476208 | ||||||||
\(833\) | −4988.37 | + | 15352.6i | −0.207487 | + | 0.638580i | ||||
\(834\) | 5526.77 | − | 4015.44i | 0.229468 | − | 0.166718i | ||||
\(835\) | 20213.8 | + | 10899.8i | 0.837758 | + | 0.451740i | ||||
\(836\) | −19375.5 | − | 14077.1i | −0.801574 | − | 0.582377i | ||||
\(837\) | 4770.64 | − | 3466.07i | 0.197010 | − | 0.143136i | ||||
\(838\) | 7222.93 | − | 5247.77i | 0.297747 | − | 0.216326i | ||||
\(839\) | 16807.4 | + | 12211.3i | 0.691603 | + | 0.502479i | 0.877187 | − | 0.480150i | \(-0.159418\pi\) |
−0.185584 | + | 0.982628i | \(0.559418\pi\) | |||||||
\(840\) | −446.110 | + | 2446.38i | −0.0183241 | + | 0.100486i | ||||
\(841\) | 4620.18 | − | 3356.76i | 0.189437 | − | 0.137634i | ||||
\(842\) | −2222.79 | + | 6841.04i | −0.0909767 | + | 0.279998i | ||||
\(843\) | −8877.55 | −0.362704 | ||||||||
\(844\) | −5402.48 | + | 16627.1i | −0.220333 | + | 0.678115i | ||||
\(845\) | 13036.0 | + | 7029.32i | 0.530712 | + | 0.286173i | ||||
\(846\) | −5965.31 | − | 18359.3i | −0.242425 | − | 0.746107i | ||||
\(847\) | −3540.04 | − | 10895.1i | −0.143609 | − | 0.441984i | ||||
\(848\) | −4487.57 | − | 3260.41i | −0.181726 | − | 0.132032i | ||||
\(849\) | 837.255 | 0.0338451 | ||||||||
\(850\) | 11845.6 | − | 3247.42i | 0.478001 | − | 0.131042i | ||||
\(851\) | −23035.5 | −0.927905 | ||||||||
\(852\) | −2279.70 | − | 1656.30i | −0.0916681 | − | 0.0666008i | ||||
\(853\) | −10310.8 | − | 31733.5i | −0.413877 | − | 1.27378i | −0.913252 | − | 0.407395i | \(-0.866437\pi\) |
0.499375 | − | 0.866386i | \(-0.333563\pi\) | |||||||
\(854\) | 125.042 | + | 384.840i | 0.00501036 | + | 0.0154203i | ||||
\(855\) | −25277.7 | + | 3402.12i | −1.01109 | + | 0.136082i | ||||
\(856\) | 484.263 | − | 1490.41i | 0.0193362 | − | 0.0595106i | ||||
\(857\) | −25175.7 | −1.00348 | −0.501742 | − | 0.865017i | \(-0.667307\pi\) | ||||
−0.501742 | + | 0.865017i | \(0.667307\pi\) | |||||||
\(858\) | 1570.70 | − | 4834.11i | 0.0624974 | − | 0.192347i | ||||
\(859\) | −5184.10 | + | 3766.47i | −0.205913 | + | 0.149604i | −0.685963 | − | 0.727637i | \(-0.740619\pi\) |
0.480050 | + | 0.877241i | \(0.340619\pi\) | |||||||
\(860\) | −9212.87 | + | 1239.96i | −0.365298 | + | 0.0491654i | ||||
\(861\) | −269.180 | − | 195.571i | −0.0106546 | − | 0.00774104i | ||||
\(862\) | 4424.47 | − | 3214.57i | 0.174824 | − | 0.127017i | ||||
\(863\) | 39146.1 | − | 28441.3i | 1.54409 | − | 1.12185i | 0.596386 | − | 0.802698i | \(-0.296603\pi\) |
0.947704 | − | 0.319149i | \(-0.103397\pi\) | |||||||
\(864\) | −11508.4 | − | 8361.36i | −0.453153 | − | 0.329235i | ||||
\(865\) | 10340.0 | − | 9869.21i | 0.406442 | − | 0.387934i | ||||
\(866\) | −3182.45 | + | 2312.18i | −0.124878 | + | 0.0907289i | ||||
\(867\) | 1074.89 | − | 3308.17i | 0.0421051 | − | 0.129586i | ||||
\(868\) | −1895.01 | −0.0741024 | ||||||||
\(869\) | −18484.6 | + | 56889.6i | −0.721572 | + | 2.22077i | ||||
\(870\) | −825.325 | + | 4525.92i | −0.0321622 | + | 0.176371i | ||||
\(871\) | −1421.37 | − | 4374.52i | −0.0552941 | − | 0.170178i | ||||
\(872\) | −1432.62 | − | 4409.14i | −0.0556359 | − | 0.171230i | ||||
\(873\) | −33838.7 | − | 24585.3i | −1.31187 | − | 0.953133i | ||||
\(874\) | −21904.3 | −0.847741 | ||||||||
\(875\) | 4259.31 | − | 7087.59i | 0.164561 | − | 0.273833i | ||||
\(876\) | −8423.99 | −0.324909 | ||||||||
\(877\) | 21739.2 | + | 15794.5i | 0.837036 | + | 0.608142i | 0.921541 | − | 0.388281i | \(-0.126931\pi\) |
−0.0845052 | + | 0.996423i | \(0.526931\pi\) | |||||||
\(878\) | −66.3732 | − | 204.276i | −0.00255124 | − | 0.00785190i | ||||
\(879\) | 1096.63 | + | 3375.07i | 0.0420800 | + | 0.129509i | ||||
\(880\) | 917.168 | − | 5029.57i | 0.0351338 | − | 0.192667i | ||||
\(881\) | 11453.8 | − | 35251.1i | 0.438011 | − | 1.34806i | −0.451959 | − | 0.892039i | \(-0.649275\pi\) |
0.889970 | − | 0.456020i | \(-0.150725\pi\) | |||||||
\(882\) | 14100.8 | 0.538321 | ||||||||
\(883\) | −656.803 | + | 2021.43i | −0.0250319 | + | 0.0770403i | −0.962792 | − | 0.270243i | \(-0.912896\pi\) |
0.937760 | + | 0.347284i | \(0.112896\pi\) | |||||||
\(884\) | 5617.22 | − | 4081.15i | 0.213719 | − | 0.155276i | ||||
\(885\) | 7487.64 | − | 7146.69i | 0.284400 | − | 0.271450i | ||||
\(886\) | −381.001 | − | 276.814i | −0.0144469 | − | 0.0104963i | ||||
\(887\) | 1712.00 | − | 1243.84i | 0.0648065 | − | 0.0470847i | −0.554910 | − | 0.831910i | \(-0.687247\pi\) |
0.619717 | + | 0.784825i | \(0.287247\pi\) | |||||||
\(888\) | −5601.17 | + | 4069.49i | −0.211670 | + | 0.153787i | ||||
\(889\) | 2391.29 | + | 1737.37i | 0.0902151 | + | 0.0655451i | ||||
\(890\) | 9709.58 | − | 1306.81i | 0.365692 | − | 0.0492184i | ||||
\(891\) | 24357.7 | − | 17696.9i | 0.915840 | − | 0.665397i | ||||
\(892\) | −5040.01 | + | 15511.6i | −0.189184 | + | 0.582248i | ||||
\(893\) | 39388.2 | 1.47601 | ||||||||
\(894\) | −1454.85 | + | 4477.58i | −0.0544268 | + | 0.167509i | ||||
\(895\) | 5167.64 | − | 695.512i | 0.193000 | − | 0.0259759i | ||||
\(896\) | 1193.27 | + | 3672.50i | 0.0444914 | + | 0.136930i | ||||
\(897\) | 1833.27 | + | 5642.22i | 0.0682397 | + | 0.210020i | ||||
\(898\) | −15001.7 | − | 10899.4i | −0.557475 | − | 0.405029i | ||||
\(899\) | −9758.97 | −0.362046 | ||||||||
\(900\) | 7523.22 | + | 11439.6i | 0.278638 | + | 0.423690i | ||||
\(901\) | −36341.0 | −1.34372 | ||||||||
\(902\) | 3035.60 | + | 2205.49i | 0.112056 | + | 0.0814135i | ||||
\(903\) | 544.327 | + | 1675.27i | 0.0200599 | + | 0.0617379i | ||||
\(904\) | −11855.8 | − | 36488.3i | −0.436191 | − | 1.34246i | ||||
\(905\) | −11475.5 | − | 6187.89i | −0.421503 | − | 0.227285i | ||||
\(906\) | 2166.85 | − | 6668.88i | 0.0794579 | − | 0.244546i | ||||
\(907\) | −4188.50 | −0.153337 | −0.0766687 | − | 0.997057i | \(-0.524428\pi\) | ||||
−0.0766687 | + | 0.997057i | \(0.524428\pi\) | |||||||
\(908\) | −964.228 | + | 2967.59i | −0.0352412 | + | 0.108461i | ||||
\(909\) | 20835.3 | − | 15137.7i | 0.760246 | − | 0.552351i | ||||
\(910\) | −657.110 | + | 3603.46i | −0.0239374 | + | 0.131268i | ||||
\(911\) | 11515.9 | + | 8366.82i | 0.418815 | + | 0.304287i | 0.777161 | − | 0.629302i | \(-0.216659\pi\) |
−0.358346 | + | 0.933589i | \(0.616659\pi\) | |||||||
\(912\) | −970.992 | + | 705.467i | −0.0352552 | + | 0.0256144i | ||||
\(913\) | 43387.3 | − | 31522.7i | 1.57274 | − | 1.14266i | ||||
\(914\) | 5066.65 | + | 3681.14i | 0.183359 | + | 0.133218i | ||||
\(915\) | −576.523 | − | 310.875i | −0.0208298 | − | 0.0112319i | ||||
\(916\) | −20043.7 | + | 14562.6i | −0.722995 | + | 0.525287i | ||||
\(917\) | −473.906 | + | 1458.53i | −0.0170663 | + | 0.0525245i | ||||
\(918\) | 8114.55 | 0.291743 | ||||||||
\(919\) | −9951.33 | + | 30627.0i | −0.357197 | + | 1.09934i | 0.597528 | + | 0.801848i | \(0.296150\pi\) |
−0.954725 | + | 0.297491i | \(0.903850\pi\) | |||||||
\(920\) | 14176.4 | + | 29501.9i | 0.508022 | + | 1.05723i | ||||
\(921\) | −5010.22 | − | 15419.9i | −0.179253 | − | 0.551685i | ||||
\(922\) | −7059.73 | − | 21727.6i | −0.252169 | − | 0.776096i | ||||
\(923\) | −9347.23 | − | 6791.16i | −0.333335 | − | 0.242182i | ||||
\(924\) | 2436.14 | 0.0867350 | ||||||||
\(925\) | 22202.8 | − | 6086.81i | 0.789216 | − | 0.216360i | ||||
\(926\) | 19538.2 | 0.693374 | ||||||||
\(927\) | 1819.24 | + | 1321.76i | 0.0644572 | + | 0.0468309i | ||||
\(928\) | 7274.88 | + | 22389.8i | 0.257338 | + | 0.792005i | ||||
\(929\) | −4869.12 | − | 14985.6i | −0.171960 | − | 0.529238i | 0.827522 | − | 0.561434i | \(-0.189750\pi\) |
−0.999482 | + | 0.0321958i | \(0.989750\pi\) | |||||||
\(930\) | −1738.80 | + | 1659.62i | −0.0613091 | + | 0.0585174i | ||||
\(931\) | −8890.84 | + | 27363.2i | −0.312981 | + | 0.963257i | ||||
\(932\) | 24004.5 | 0.843662 | ||||||||
\(933\) | −2758.73 | + | 8490.51i | −0.0968027 | + | 0.297928i | ||||
\(934\) | −20094.3 | + | 14599.4i | −0.703967 | + | 0.511462i | ||||
\(935\) | −14507.1 | − | 30190.1i | −0.507414 | − | 1.05596i | ||||
\(936\) | −13658.4 | − | 9923.38i | −0.476963 | − | 0.346534i | ||||
\(937\) | −31461.7 | + | 22858.3i | −1.09692 | + | 0.796956i | −0.980554 | − | 0.196251i | \(-0.937123\pi\) |
−0.116362 | + | 0.993207i | \(0.537123\pi\) | |||||||
\(938\) | −1397.58 | + | 1015.40i | −0.0486487 | + | 0.0353454i | ||||
\(939\) | −7623.10 | − | 5538.51i | −0.264931 | − | 0.192484i | ||||
\(940\) | −9157.82 | − | 19058.0i | −0.317761 | − | 0.661281i | ||||
\(941\) | −32883.6 | + | 23891.4i | −1.13919 | + | 0.827669i | −0.987006 | − | 0.160684i | \(-0.948630\pi\) |
−0.152182 | + | 0.988352i | \(0.548630\pi\) | |||||||
\(942\) | 270.299 | − | 831.896i | 0.00934908 | − | 0.0287735i | ||||
\(943\) | −4379.46 | −0.151235 | ||||||||
\(944\) | −1425.13 | + | 4386.10i | −0.0491356 | + | 0.151224i | ||||
\(945\) | 3951.77 | − | 3771.83i | 0.136033 | − | 0.129839i | ||||
\(946\) | −6138.49 | − | 18892.3i | −0.210972 | − | 0.649305i | ||||
\(947\) | 6376.19 | + | 19623.9i | 0.218794 | + | 0.673380i | 0.998862 | + | 0.0476852i | \(0.0151844\pi\) |
−0.780068 | + | 0.625695i | \(0.784816\pi\) | |||||||
\(948\) | −6098.62 | − | 4430.91i | −0.208939 | − | 0.151803i | ||||
\(949\) | −34540.0 | −1.18147 | ||||||||
\(950\) | 21112.6 | − | 5787.92i | 0.721034 | − | 0.197668i | ||||
\(951\) | 512.375 | 0.0174710 | ||||||||
\(952\) | −5872.52 | − | 4266.63i | −0.199926 | − | 0.145255i | ||||
\(953\) | −6682.98 | − | 20568.1i | −0.227160 | − | 0.699125i | −0.998065 | − | 0.0621759i | \(-0.980196\pi\) |
0.770906 | − | 0.636949i | \(-0.219804\pi\) | |||||||
\(954\) | 9809.51 | + | 30190.6i | 0.332908 | + | 1.02459i | ||||
\(955\) | 10829.8 | + | 22537.5i | 0.366956 | + | 0.763660i | ||||
\(956\) | 6904.91 | − | 21251.1i | 0.233599 | − | 0.718945i | ||||
\(957\) | 12545.7 | 0.423766 | ||||||||
\(958\) | 436.599 | − | 1343.71i | 0.0147243 | − | 0.0453167i | ||||
\(959\) | −728.926 | + | 529.595i | −0.0245446 | + | 0.0178327i | ||||
\(960\) | 6115.32 | + | 3297.53i | 0.205595 | + | 0.110862i | ||||
\(961\) | 19976.4 | + | 14513.7i | 0.670550 | + | 0.487183i | ||||
\(962\) | −8250.40 | + | 5994.26i | −0.276511 | + | 0.200897i | ||||
\(963\) | −1322.73 | + | 961.023i | −0.0442622 | + | 0.0321584i | ||||
\(964\) | −4956.37 | − | 3601.01i | −0.165595 | − | 0.120312i | ||||
\(965\) | 3815.72 | − | 20924.6i | 0.127287 | − | 0.698019i | ||||
\(966\) | 1802.58 | − | 1309.65i | 0.0600384 | − | 0.0436205i | ||||
\(967\) | −9371.85 | + | 28843.6i | −0.311663 | + | 0.959201i | 0.665443 | + | 0.746449i | \(0.268243\pi\) |
−0.977106 | + | 0.212752i | \(0.931757\pi\) | |||||||
\(968\) | −45319.3 | −1.50477 | ||||||||
\(969\) | −2429.87 | + | 7478.38i | −0.0805560 | + | 0.247926i | ||||
\(970\) | 31599.0 | + | 17039.0i | 1.04596 | + | 0.564008i | ||||
\(971\) | 10840.7 | + | 33364.3i | 0.358285 | + | 1.10269i | 0.954080 | + | 0.299552i | \(0.0968372\pi\) |
−0.595795 | + | 0.803137i | \(0.703163\pi\) | |||||||
\(972\) | 4262.90 | + | 13119.9i | 0.140672 | + | 0.432942i | ||||
\(973\) | 10861.0 | + | 7890.97i | 0.357849 | + | 0.259993i | ||||
\(974\) | 3691.96 | 0.121456 | ||||||||
\(975\) | −3257.88 | − | 4953.85i | −0.107011 | − | 0.162718i | ||||
\(976\) | 291.834 | 0.00957110 | ||||||||
\(977\) | 36271.9 | + | 26353.1i | 1.18776 | + | 0.862958i | 0.993026 | − | 0.117899i | \(-0.0376158\pi\) |
0.194733 | + | 0.980856i | \(0.437616\pi\) | |||||||
\(978\) | 1828.71 | + | 5628.21i | 0.0597913 | + | 0.184019i | ||||
\(979\) | −8255.92 | − | 25409.1i | −0.269520 | − | 0.829498i | ||||
\(980\) | 15306.8 | − | 2060.14i | 0.498937 | − | 0.0671519i | ||||
\(981\) | −1494.67 | + | 4600.13i | −0.0486455 | + | 0.149715i | ||||
\(982\) | 28374.3 | 0.922057 | ||||||||
\(983\) | 6943.28 | − | 21369.2i | 0.225286 | − | 0.693359i | −0.772976 | − | 0.634435i | \(-0.781233\pi\) |
0.998262 | − | 0.0589243i | \(-0.0187671\pi\) | |||||||
\(984\) | −1064.88 | + | 773.682i | −0.0344992 | + | 0.0250651i | ||||
\(985\) | 20079.3 | − | 2702.47i | 0.649524 | − | 0.0874193i | ||||
\(986\) | −10864.4 | − | 7893.48i | −0.350907 | − | 0.254949i | ||||
\(987\) | −3241.39 | + | 2355.01i | −0.104534 | + | 0.0759481i | ||||
\(988\) | 10011.6 | − | 7273.88i | 0.322381 | − | 0.234224i | ||||
\(989\) | 18757.3 | + | 13628.0i | 0.603081 | + | 0.438164i | ||||
\(990\) | −21164.8 | + | 20201.1i | −0.679456 | + | 0.648517i | ||||
\(991\) | 27174.0 | − | 19743.1i | 0.871049 | − | 0.632854i | −0.0598190 | − | 0.998209i | \(-0.519052\pi\) |
0.930868 | + | 0.365355i | \(0.119052\pi\) | |||||||
\(992\) | −3800.98 | + | 11698.2i | −0.121655 | + | 0.374414i | ||||
\(993\) | −4703.15 | −0.150302 | ||||||||
\(994\) | −1340.92 | + | 4126.92i | −0.0427880 | + | 0.131688i | ||||
\(995\) | −6039.70 | + | 33120.5i | −0.192434 | + | 1.05527i | ||||
\(996\) | 2088.50 | + | 6427.75i | 0.0664425 | + | 0.204489i | ||||
\(997\) | −16212.5 | − | 49896.8i | −0.514999 | − | 1.58500i | −0.783284 | − | 0.621664i | \(-0.786457\pi\) |
0.268285 | − | 0.963339i | \(-0.413543\pi\) | |||||||
\(998\) | −18323.9 | − | 13313.1i | −0.581195 | − | 0.422263i | ||||
\(999\) | 15209.5 | 0.481690 |
(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 | 25.4.d.a.16.3 | yes | 28 | |
3.2 | odd | 2 | 225.4.h.b.91.5 | 28 | |||
5.2 | odd | 4 | 125.4.e.b.49.9 | 56 | |||
5.3 | odd | 4 | 125.4.e.b.49.6 | 56 | |||
5.4 | even | 2 | 125.4.d.a.76.5 | 28 | |||
25.2 | odd | 20 | 125.4.e.b.74.6 | 56 | |||
25.6 | even | 5 | 625.4.a.c.1.9 | 14 | |||
25.11 | even | 5 | inner | 25.4.d.a.11.3 | ✓ | 28 | |
25.14 | even | 10 | 125.4.d.a.51.5 | 28 | |||
25.19 | even | 10 | 625.4.a.d.1.6 | 14 | |||
25.23 | odd | 20 | 125.4.e.b.74.9 | 56 | |||
75.11 | odd | 10 | 225.4.h.b.136.5 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.4.d.a.11.3 | ✓ | 28 | 25.11 | even | 5 | inner | |
25.4.d.a.16.3 | yes | 28 | 1.1 | even | 1 | trivial | |
125.4.d.a.51.5 | 28 | 25.14 | even | 10 | |||
125.4.d.a.76.5 | 28 | 5.4 | even | 2 | |||
125.4.e.b.49.6 | 56 | 5.3 | odd | 4 | |||
125.4.e.b.49.9 | 56 | 5.2 | odd | 4 | |||
125.4.e.b.74.6 | 56 | 25.2 | odd | 20 | |||
125.4.e.b.74.9 | 56 | 25.23 | odd | 20 | |||
225.4.h.b.91.5 | 28 | 3.2 | odd | 2 | |||
225.4.h.b.136.5 | 28 | 75.11 | odd | 10 | |||
625.4.a.c.1.9 | 14 | 25.6 | even | 5 | |||
625.4.a.d.1.6 | 14 | 25.19 | even | 10 |