Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,3,Mod(191,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.191");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.b (of order \(2\), degree \(1\), 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: | \(10.3542500457\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 191.12 | ||
Character | \(\chi\) | \(=\) | 380.191 |
Dual form | 380.3.b.a.191.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.70466 | + | 1.04601i | −0.852329 | + | 0.523005i | ||||
\(3\) | 1.85712i | 0.619038i | 0.950893 | + | 0.309519i | \(0.100168\pi\) | ||||
−0.950893 | + | 0.309519i | \(0.899832\pi\) | |||||||
\(4\) | 1.81172 | − | 3.56618i | 0.452931 | − | 0.891546i | ||||
\(5\) | −2.23607 | −0.447214 | ||||||||
\(6\) | −1.94256 | − | 3.16575i | −0.323760 | − | 0.527625i | ||||
\(7\) | 8.17539i | 1.16791i | 0.811785 | + | 0.583957i | \(0.198496\pi\) | ||||
−0.811785 | + | 0.583957i | \(0.801504\pi\) | |||||||
\(8\) | 0.641893 | + | 7.97421i | 0.0802366 | + | 0.996776i | ||||
\(9\) | 5.55112 | 0.616791 | ||||||||
\(10\) | 3.81173 | − | 2.33895i | 0.381173 | − | 0.233895i | ||||
\(11\) | − | 1.28015i | − | 0.116377i | −0.998306 | − | 0.0581884i | \(-0.981468\pi\) | ||
0.998306 | − | 0.0581884i | \(-0.0185324\pi\) | |||||||
\(12\) | 6.62281 | + | 3.36458i | 0.551901 | + | 0.280382i | ||||
\(13\) | 13.9097 | 1.06998 | 0.534989 | − | 0.844859i | \(-0.320316\pi\) | ||||
0.534989 | + | 0.844859i | \(0.320316\pi\) | |||||||
\(14\) | −8.55155 | − | 13.9363i | −0.610825 | − | 0.995447i | ||||
\(15\) | − | 4.15264i | − | 0.276842i | ||||||
\(16\) | −9.43531 | − | 12.9219i | −0.589707 | − | 0.807617i | ||||
\(17\) | −1.52283 | −0.0895781 | −0.0447890 | − | 0.998996i | \(-0.514262\pi\) | ||||
−0.0447890 | + | 0.998996i | \(0.514262\pi\) | |||||||
\(18\) | −9.46277 | + | 5.80653i | −0.525710 | + | 0.322585i | ||||
\(19\) | 4.35890i | 0.229416i | ||||||||
\(20\) | −4.05114 | + | 7.97423i | −0.202557 | + | 0.398711i | ||||
\(21\) | −15.1826 | −0.722983 | ||||||||
\(22\) | 1.33905 | + | 2.18221i | 0.0608657 | + | 0.0991915i | ||||
\(23\) | 16.2368i | 0.705948i | 0.935633 | + | 0.352974i | \(0.114830\pi\) | ||||
−0.935633 | + | 0.352974i | \(0.885170\pi\) | |||||||
\(24\) | −14.8090 | + | 1.19207i | −0.617043 | + | 0.0496695i | ||||
\(25\) | 5.00000 | 0.200000 | ||||||||
\(26\) | −23.7113 | + | 14.5497i | −0.911973 | + | 0.559604i | ||||
\(27\) | 27.0231i | 1.00086i | ||||||||
\(28\) | 29.1549 | + | 14.8116i | 1.04125 | + | 0.528984i | ||||
\(29\) | −10.9442 | −0.377386 | −0.188693 | − | 0.982036i | \(-0.560425\pi\) | ||||
−0.188693 | + | 0.982036i | \(0.560425\pi\) | |||||||
\(30\) | 4.34370 | + | 7.07883i | 0.144790 | + | 0.235961i | ||||
\(31\) | 21.3804i | 0.689692i | 0.938659 | + | 0.344846i | \(0.112069\pi\) | ||||
−0.938659 | + | 0.344846i | \(0.887931\pi\) | |||||||
\(32\) | 29.6004 | + | 12.1580i | 0.925013 | + | 0.379936i | ||||
\(33\) | 2.37738 | 0.0720418 | ||||||||
\(34\) | 2.59590 | − | 1.59289i | 0.0763500 | − | 0.0468498i | ||||
\(35\) | − | 18.2807i | − | 0.522307i | ||||||
\(36\) | 10.0571 | − | 19.7963i | 0.279364 | − | 0.549898i | ||||
\(37\) | −21.4981 | −0.581028 | −0.290514 | − | 0.956871i | \(-0.593826\pi\) | ||||
−0.290514 | + | 0.956871i | \(0.593826\pi\) | |||||||
\(38\) | −4.55945 | − | 7.43044i | −0.119986 | − | 0.195538i | ||||
\(39\) | 25.8319i | 0.662357i | ||||||||
\(40\) | −1.43532 | − | 17.8309i | −0.0358829 | − | 0.445772i | ||||
\(41\) | −63.5609 | −1.55026 | −0.775132 | − | 0.631799i | \(-0.782317\pi\) | ||||
−0.775132 | + | 0.631799i | \(0.782317\pi\) | |||||||
\(42\) | 25.8812 | − | 15.8812i | 0.616220 | − | 0.378124i | ||||
\(43\) | 37.8772i | 0.880866i | 0.897786 | + | 0.440433i | \(0.145175\pi\) | ||||
−0.897786 | + | 0.440433i | \(0.854825\pi\) | |||||||
\(44\) | −4.56523 | − | 2.31927i | −0.103755 | − | 0.0527107i | ||||
\(45\) | −12.4127 | −0.275838 | ||||||||
\(46\) | −16.9839 | − | 27.6782i | −0.369214 | − | 0.601700i | ||||
\(47\) | − | 3.23165i | − | 0.0687585i | −0.999409 | − | 0.0343792i | \(-0.989055\pi\) | ||
0.999409 | − | 0.0343792i | \(-0.0109454\pi\) | |||||||
\(48\) | 23.9974 | − | 17.5225i | 0.499946 | − | 0.365051i | ||||
\(49\) | −17.8371 | −0.364022 | ||||||||
\(50\) | −8.52329 | + | 5.23005i | −0.170466 | + | 0.104601i | ||||
\(51\) | − | 2.82807i | − | 0.0554523i | ||||||
\(52\) | 25.2006 | − | 49.6046i | 0.484626 | − | 0.953934i | ||||
\(53\) | −66.1970 | −1.24900 | −0.624500 | − | 0.781025i | \(-0.714697\pi\) | ||||
−0.624500 | + | 0.781025i | \(0.714697\pi\) | |||||||
\(54\) | −28.2665 | − | 46.0652i | −0.523453 | − | 0.853059i | ||||
\(55\) | 2.86249i | 0.0520453i | ||||||||
\(56\) | −65.1923 | + | 5.24773i | −1.16415 | + | 0.0937094i | ||||
\(57\) | −8.09498 | −0.142017 | ||||||||
\(58\) | 18.6561 | − | 11.4478i | 0.321657 | − | 0.197375i | ||||
\(59\) | − | 0.130585i | − | 0.00221331i | −0.999999 | − | 0.00110665i | \(-0.999648\pi\) | ||
0.999999 | − | 0.00110665i | \(-0.000352259\pi\) | |||||||
\(60\) | −14.8091 | − | 7.52343i | −0.246818 | − | 0.125390i | ||||
\(61\) | −20.5145 | −0.336302 | −0.168151 | − | 0.985761i | \(-0.553780\pi\) | ||||
−0.168151 | + | 0.985761i | \(0.553780\pi\) | |||||||
\(62\) | −22.3642 | − | 36.4464i | −0.360712 | − | 0.587845i | ||||
\(63\) | 45.3826i | 0.720359i | ||||||||
\(64\) | −63.1759 | + | 10.2372i | −0.987124 | + | 0.159956i | ||||
\(65\) | −31.1031 | −0.478508 | ||||||||
\(66\) | −4.05262 | + | 2.48676i | −0.0614033 | + | 0.0376782i | ||||
\(67\) | − | 17.8398i | − | 0.266265i | −0.991098 | − | 0.133133i | \(-0.957496\pi\) | ||
0.991098 | − | 0.133133i | \(-0.0425036\pi\) | |||||||
\(68\) | −2.75894 | + | 5.43068i | −0.0405727 | + | 0.0798629i | ||||
\(69\) | −30.1536 | −0.437009 | ||||||||
\(70\) | 19.1218 | + | 31.1624i | 0.273169 | + | 0.445177i | ||||
\(71\) | 32.6229i | 0.459478i | 0.973252 | + | 0.229739i | \(0.0737873\pi\) | ||||
−0.973252 | + | 0.229739i | \(0.926213\pi\) | |||||||
\(72\) | 3.56323 | + | 44.2658i | 0.0494892 | + | 0.614803i | ||||
\(73\) | −4.61935 | −0.0632788 | −0.0316394 | − | 0.999499i | \(-0.510073\pi\) | ||||
−0.0316394 | + | 0.999499i | \(0.510073\pi\) | |||||||
\(74\) | 36.6468 | − | 22.4872i | 0.495228 | − | 0.303881i | ||||
\(75\) | 9.28558i | 0.123808i | ||||||||
\(76\) | 15.5446 | + | 7.89712i | 0.204535 | + | 0.103909i | ||||
\(77\) | 10.4657 | 0.135918 | ||||||||
\(78\) | −27.0205 | − | 44.0346i | −0.346416 | − | 0.564547i | ||||
\(79\) | 10.5643i | 0.133726i | 0.997762 | + | 0.0668629i | \(0.0212990\pi\) | ||||
−0.997762 | + | 0.0668629i | \(0.978701\pi\) | |||||||
\(80\) | 21.0980 | + | 28.8942i | 0.263725 | + | 0.361177i | ||||
\(81\) | −0.224921 | −0.00277680 | ||||||||
\(82\) | 108.350 | − | 66.4853i | 1.32134 | − | 0.810797i | ||||
\(83\) | 4.80581i | 0.0579014i | 0.999581 | + | 0.0289507i | \(0.00921658\pi\) | ||||
−0.999581 | + | 0.0289507i | \(0.990783\pi\) | |||||||
\(84\) | −27.5068 | + | 54.1441i | −0.327462 | + | 0.644573i | ||||
\(85\) | 3.40515 | 0.0400605 | ||||||||
\(86\) | −39.6200 | − | 64.5678i | −0.460697 | − | 0.750788i | ||||
\(87\) | − | 20.3246i | − | 0.233617i | ||||||
\(88\) | 10.2081 | − | 0.821716i | 0.116002 | − | 0.00933768i | ||||
\(89\) | 3.34629 | 0.0375988 | 0.0187994 | − | 0.999823i | \(-0.494016\pi\) | ||||
0.0187994 | + | 0.999823i | \(0.494016\pi\) | |||||||
\(90\) | 21.1594 | − | 12.9838i | 0.235104 | − | 0.144264i | ||||
\(91\) | 113.717i | 1.24964i | ||||||||
\(92\) | 57.9034 | + | 29.4166i | 0.629385 | + | 0.319746i | ||||
\(93\) | −39.7059 | −0.426946 | ||||||||
\(94\) | 3.38034 | + | 5.50886i | 0.0359611 | + | 0.0586049i | ||||
\(95\) | − | 9.74679i | − | 0.102598i | ||||||
\(96\) | −22.5787 | + | 54.9714i | −0.235195 | + | 0.572618i | ||||
\(97\) | 153.549 | 1.58298 | 0.791492 | − | 0.611180i | \(-0.209305\pi\) | ||||
0.791492 | + | 0.611180i | \(0.209305\pi\) | |||||||
\(98\) | 30.4061 | − | 18.6578i | 0.310266 | − | 0.190385i | ||||
\(99\) | − | 7.10625i | − | 0.0717803i | ||||||
\(100\) | 9.05862 | − | 17.8309i | 0.0905862 | − | 0.178309i | ||||
\(101\) | −17.1906 | −0.170204 | −0.0851021 | − | 0.996372i | \(-0.527122\pi\) | ||||
−0.0851021 | + | 0.996372i | \(0.527122\pi\) | |||||||
\(102\) | 2.95819 | + | 4.82089i | 0.0290018 | + | 0.0472636i | ||||
\(103\) | 174.847i | 1.69754i | 0.528761 | + | 0.848771i | \(0.322657\pi\) | ||||
−0.528761 | + | 0.848771i | \(0.677343\pi\) | |||||||
\(104\) | 8.92854 | + | 110.919i | 0.0858513 | + | 1.06653i | ||||
\(105\) | 33.9494 | 0.323328 | ||||||||
\(106\) | 112.843 | − | 69.2427i | 1.06456 | − | 0.653233i | ||||
\(107\) | − | 92.0588i | − | 0.860362i | −0.902743 | − | 0.430181i | \(-0.858450\pi\) | ||
0.902743 | − | 0.430181i | \(-0.141550\pi\) | |||||||
\(108\) | 96.3693 | + | 48.9584i | 0.892309 | + | 0.453319i | ||||
\(109\) | 151.218 | 1.38733 | 0.693663 | − | 0.720300i | \(-0.255996\pi\) | ||||
0.693663 | + | 0.720300i | \(0.255996\pi\) | |||||||
\(110\) | −2.99420 | − | 4.87957i | −0.0272200 | − | 0.0443598i | ||||
\(111\) | − | 39.9244i | − | 0.359679i | ||||||
\(112\) | 105.641 | − | 77.1374i | 0.943227 | − | 0.688727i | ||||
\(113\) | −173.604 | −1.53632 | −0.768160 | − | 0.640258i | \(-0.778828\pi\) | ||||
−0.768160 | + | 0.640258i | \(0.778828\pi\) | |||||||
\(114\) | 13.7992 | − | 8.46743i | 0.121045 | − | 0.0742757i | ||||
\(115\) | − | 36.3066i | − | 0.315709i | ||||||
\(116\) | −19.8279 | + | 39.0290i | −0.170930 | + | 0.336457i | ||||
\(117\) | 77.2145 | 0.659953 | ||||||||
\(118\) | 0.136593 | + | 0.222603i | 0.00115757 | + | 0.00188647i | ||||
\(119\) | − | 12.4497i | − | 0.104619i | ||||||
\(120\) | 33.1140 | − | 2.66555i | 0.275950 | − | 0.0222129i | ||||
\(121\) | 119.361 | 0.986456 | ||||||||
\(122\) | 34.9701 | − | 21.4583i | 0.286641 | − | 0.175888i | ||||
\(123\) | − | 118.040i | − | 0.959673i | ||||||
\(124\) | 76.2466 | + | 38.7355i | 0.614892 | + | 0.312383i | ||||
\(125\) | −11.1803 | −0.0894427 | ||||||||
\(126\) | −47.4707 | − | 77.3619i | −0.376752 | − | 0.613983i | ||||
\(127\) | − | 60.9999i | − | 0.480314i | −0.970734 | − | 0.240157i | \(-0.922801\pi\) | ||
0.970734 | − | 0.240157i | \(-0.0771989\pi\) | |||||||
\(128\) | 96.9853 | − | 83.5336i | 0.757697 | − | 0.652606i | ||||
\(129\) | −70.3424 | −0.545290 | ||||||||
\(130\) | 53.0201 | − | 32.5341i | 0.407847 | − | 0.250262i | ||||
\(131\) | − | 77.1999i | − | 0.589312i | −0.955603 | − | 0.294656i | \(-0.904795\pi\) | ||
0.955603 | − | 0.294656i | \(-0.0952051\pi\) | |||||||
\(132\) | 4.30715 | − | 8.47816i | 0.0326299 | − | 0.0642285i | ||||
\(133\) | −35.6357 | −0.267938 | ||||||||
\(134\) | 18.6606 | + | 30.4107i | 0.139258 | + | 0.226946i | ||||
\(135\) | − | 60.4255i | − | 0.447596i | ||||||
\(136\) | −0.977492 | − | 12.1433i | −0.00718744 | − | 0.0892893i | ||||
\(137\) | 219.603 | 1.60294 | 0.801469 | − | 0.598036i | \(-0.204052\pi\) | ||||
0.801469 | + | 0.598036i | \(0.204052\pi\) | |||||||
\(138\) | 51.4016 | − | 31.5410i | 0.372475 | − | 0.228558i | ||||
\(139\) | − | 68.1306i | − | 0.490148i | −0.969504 | − | 0.245074i | \(-0.921188\pi\) | ||
0.969504 | − | 0.245074i | \(-0.0788123\pi\) | |||||||
\(140\) | −65.1924 | − | 33.1196i | −0.465660 | − | 0.236569i | ||||
\(141\) | 6.00154 | 0.0425641 | ||||||||
\(142\) | −34.1239 | − | 55.6110i | −0.240309 | − | 0.391627i | ||||
\(143\) | − | 17.8065i | − | 0.124521i | ||||||
\(144\) | −52.3766 | − | 71.7309i | −0.363726 | − | 0.498131i | ||||
\(145\) | 24.4720 | 0.168772 | ||||||||
\(146\) | 7.87442 | − | 4.83189i | 0.0539344 | − | 0.0330951i | ||||
\(147\) | − | 33.1255i | − | 0.225343i | ||||||
\(148\) | −38.9485 | + | 76.6660i | −0.263166 | + | 0.518013i | ||||
\(149\) | −43.1782 | −0.289787 | −0.144893 | − | 0.989447i | \(-0.546284\pi\) | ||||
−0.144893 | + | 0.989447i | \(0.546284\pi\) | |||||||
\(150\) | −9.71281 | − | 15.8287i | −0.0647521 | − | 0.105525i | ||||
\(151\) | 237.860i | 1.57523i | 0.616166 | + | 0.787616i | \(0.288685\pi\) | ||||
−0.616166 | + | 0.787616i | \(0.711315\pi\) | |||||||
\(152\) | −34.7588 | + | 2.79795i | −0.228676 | + | 0.0184075i | ||||
\(153\) | −8.45340 | −0.0552510 | ||||||||
\(154\) | −17.8404 | + | 10.9472i | −0.115847 | + | 0.0710859i | ||||
\(155\) | − | 47.8081i | − | 0.308440i | ||||||
\(156\) | 92.1214 | + | 46.8003i | 0.590522 | + | 0.300002i | ||||
\(157\) | 224.175 | 1.42787 | 0.713935 | − | 0.700212i | \(-0.246911\pi\) | ||||
0.713935 | + | 0.700212i | \(0.246911\pi\) | |||||||
\(158\) | −11.0504 | − | 18.0086i | −0.0699393 | − | 0.113978i | ||||
\(159\) | − | 122.935i | − | 0.773179i | ||||||
\(160\) | −66.1885 | − | 27.1860i | −0.413678 | − | 0.169913i | ||||
\(161\) | −132.742 | −0.824486 | ||||||||
\(162\) | 0.383413 | − | 0.235270i | 0.00236675 | − | 0.00145228i | ||||
\(163\) | − | 149.085i | − | 0.914634i | −0.889304 | − | 0.457317i | \(-0.848811\pi\) | ||
0.889304 | − | 0.457317i | \(-0.151189\pi\) | |||||||
\(164\) | −115.155 | + | 226.670i | −0.702163 | + | 1.38213i | ||||
\(165\) | −5.31598 | −0.0322181 | ||||||||
\(166\) | −5.02693 | − | 8.19227i | −0.0302827 | − | 0.0493510i | ||||
\(167\) | 319.003i | 1.91020i | 0.296287 | + | 0.955099i | \(0.404251\pi\) | ||||
−0.296287 | + | 0.955099i | \(0.595749\pi\) | |||||||
\(168\) | −9.74563 | − | 121.070i | −0.0580097 | − | 0.720652i | ||||
\(169\) | 24.4800 | 0.144852 | ||||||||
\(170\) | −5.80461 | + | 3.56182i | −0.0341448 | + | 0.0209519i | ||||
\(171\) | 24.1968i | 0.141502i | ||||||||
\(172\) | 135.077 | + | 68.6231i | 0.785332 | + | 0.398971i | ||||
\(173\) | 25.2102 | 0.145724 | 0.0728620 | − | 0.997342i | \(-0.476787\pi\) | ||||
0.0728620 | + | 0.997342i | \(0.476787\pi\) | |||||||
\(174\) | 21.2598 | + | 34.6466i | 0.122183 | + | 0.199118i | ||||
\(175\) | 40.8770i | 0.233583i | ||||||||
\(176\) | −16.5419 | + | 12.0786i | −0.0939880 | + | 0.0686283i | ||||
\(177\) | 0.242512 | 0.00137012 | ||||||||
\(178\) | −5.70429 | + | 3.50026i | −0.0320465 | + | 0.0196644i | ||||
\(179\) | 156.325i | 0.873326i | 0.899625 | + | 0.436663i | \(0.143840\pi\) | ||||
−0.899625 | + | 0.436663i | \(0.856160\pi\) | |||||||
\(180\) | −22.4884 | + | 44.2659i | −0.124935 | + | 0.245922i | ||||
\(181\) | 15.0392 | 0.0830894 | 0.0415447 | − | 0.999137i | \(-0.486772\pi\) | ||||
0.0415447 | + | 0.999137i | \(0.486772\pi\) | |||||||
\(182\) | −118.950 | − | 193.849i | −0.653569 | − | 1.06511i | ||||
\(183\) | − | 38.0977i | − | 0.208184i | ||||||
\(184\) | −129.476 | + | 10.4223i | −0.703672 | + | 0.0566428i | ||||
\(185\) | 48.0711 | 0.259844 | ||||||||
\(186\) | 67.6851 | − | 41.5328i | 0.363898 | − | 0.223295i | ||||
\(187\) | 1.94944i | 0.0104248i | ||||||||
\(188\) | −11.5246 | − | 5.85486i | −0.0613013 | − | 0.0311429i | ||||
\(189\) | −220.925 | −1.16891 | ||||||||
\(190\) | 10.1952 | + | 16.6150i | 0.0536592 | + | 0.0874472i | ||||
\(191\) | 100.439i | 0.525860i | 0.964815 | + | 0.262930i | \(0.0846889\pi\) | ||||
−0.964815 | + | 0.262930i | \(0.915311\pi\) | |||||||
\(192\) | −19.0116 | − | 117.325i | −0.0990188 | − | 0.611068i | ||||
\(193\) | −60.2380 | −0.312114 | −0.156057 | − | 0.987748i | \(-0.549878\pi\) | ||||
−0.156057 | + | 0.987748i | \(0.549878\pi\) | |||||||
\(194\) | −261.749 | + | 160.614i | −1.34922 | + | 0.827909i | ||||
\(195\) | − | 57.7619i | − | 0.296215i | ||||||
\(196\) | −32.3158 | + | 63.6102i | −0.164877 | + | 0.324542i | ||||
\(197\) | 315.357 | 1.60080 | 0.800399 | − | 0.599468i | \(-0.204621\pi\) | ||||
0.800399 | + | 0.599468i | \(0.204621\pi\) | |||||||
\(198\) | 7.43321 | + | 12.1137i | 0.0375415 | + | 0.0611804i | ||||
\(199\) | − | 271.266i | − | 1.36315i | −0.731750 | − | 0.681573i | \(-0.761296\pi\) | ||
0.731750 | − | 0.681573i | \(-0.238704\pi\) | |||||||
\(200\) | 3.20946 | + | 39.8710i | 0.0160473 | + | 0.199355i | ||||
\(201\) | 33.1305 | 0.164828 | ||||||||
\(202\) | 29.3042 | − | 17.9816i | 0.145070 | − | 0.0890177i | ||||
\(203\) | − | 89.4732i | − | 0.440755i | ||||||
\(204\) | −10.0854 | − | 5.12367i | −0.0494382 | − | 0.0251161i | ||||
\(205\) | 142.126 | 0.693300 | ||||||||
\(206\) | −182.892 | − | 298.054i | −0.887823 | − | 1.44686i | ||||
\(207\) | 90.1325i | 0.435423i | ||||||||
\(208\) | −131.242 | − | 179.740i | −0.630973 | − | 0.864132i | ||||
\(209\) | 5.58003 | 0.0266987 | ||||||||
\(210\) | −57.8722 | + | 35.5115i | −0.275582 | + | 0.169102i | ||||
\(211\) | − | 197.215i | − | 0.934668i | −0.884081 | − | 0.467334i | \(-0.845215\pi\) | ||
0.884081 | − | 0.467334i | \(-0.154785\pi\) | |||||||
\(212\) | −119.931 | + | 236.070i | −0.565711 | + | 1.11354i | ||||
\(213\) | −60.5846 | −0.284435 | ||||||||
\(214\) | 96.2944 | + | 156.929i | 0.449974 | + | 0.733312i | ||||
\(215\) | − | 84.6961i | − | 0.393935i | ||||||
\(216\) | −215.488 | + | 17.3459i | −0.997629 | + | 0.0803053i | ||||
\(217\) | −174.794 | −0.805500 | ||||||||
\(218\) | −257.776 | + | 158.176i | −1.18246 | + | 0.725579i | ||||
\(219\) | − | 8.57867i | − | 0.0391720i | ||||||
\(220\) | 10.2082 | + | 5.18605i | 0.0464008 | + | 0.0235729i | ||||
\(221\) | −21.1821 | −0.0958465 | ||||||||
\(222\) | 41.7613 | + | 68.0574i | 0.188114 | + | 0.306565i | ||||
\(223\) | 303.797i | 1.36232i | 0.732134 | + | 0.681160i | \(0.238524\pi\) | ||||
−0.732134 | + | 0.681160i | \(0.761476\pi\) | |||||||
\(224\) | −99.3961 | + | 241.995i | −0.443732 | + | 1.08033i | ||||
\(225\) | 27.7556 | 0.123358 | ||||||||
\(226\) | 295.936 | − | 181.592i | 1.30945 | − | 0.803504i | ||||
\(227\) | − | 269.086i | − | 1.18540i | −0.805423 | − | 0.592701i | \(-0.798062\pi\) | ||
0.805423 | − | 0.592701i | \(-0.201938\pi\) | |||||||
\(228\) | −14.6659 | + | 28.8682i | −0.0643240 | + | 0.126615i | ||||
\(229\) | 220.055 | 0.960938 | 0.480469 | − | 0.877012i | \(-0.340466\pi\) | ||||
0.480469 | + | 0.877012i | \(0.340466\pi\) | |||||||
\(230\) | 37.9771 | + | 61.8903i | 0.165118 | + | 0.269088i | ||||
\(231\) | 19.4360i | 0.0841385i | ||||||||
\(232\) | −7.02500 | − | 87.2713i | −0.0302802 | − | 0.376170i | ||||
\(233\) | −353.511 | −1.51721 | −0.758606 | − | 0.651549i | \(-0.774119\pi\) | ||||
−0.758606 | + | 0.651549i | \(0.774119\pi\) | |||||||
\(234\) | −131.624 | + | 80.7672i | −0.562497 | + | 0.345159i | ||||
\(235\) | 7.22619i | 0.0307497i | ||||||||
\(236\) | −0.465690 | − | 0.236584i | −0.00197326 | − | 0.00100247i | ||||
\(237\) | −19.6192 | −0.0827814 | ||||||||
\(238\) | 13.0225 | + | 21.2225i | 0.0547165 | + | 0.0891702i | ||||
\(239\) | − | 301.934i | − | 1.26332i | −0.775244 | − | 0.631661i | \(-0.782373\pi\) | ||
0.775244 | − | 0.631661i | \(-0.217627\pi\) | |||||||
\(240\) | −53.6598 | + | 39.1814i | −0.223583 | + | 0.163256i | ||||
\(241\) | −94.8112 | −0.393408 | −0.196704 | − | 0.980463i | \(-0.563024\pi\) | ||||
−0.196704 | + | 0.980463i | \(0.563024\pi\) | |||||||
\(242\) | −203.470 | + | 124.853i | −0.840786 | + | 0.515922i | ||||
\(243\) | 242.790i | 0.999137i | ||||||||
\(244\) | −37.1665 | + | 73.1583i | −0.152322 | + | 0.299829i | ||||
\(245\) | 39.8849 | 0.162795 | ||||||||
\(246\) | 123.471 | + | 201.218i | 0.501914 | + | 0.817958i | ||||
\(247\) | 60.6310i | 0.245470i | ||||||||
\(248\) | −170.492 | + | 13.7239i | −0.687468 | + | 0.0553385i | ||||
\(249\) | −8.92495 | −0.0358432 | ||||||||
\(250\) | 19.0587 | − | 11.6948i | 0.0762347 | − | 0.0467790i | ||||
\(251\) | 49.3291i | 0.196530i | 0.995160 | + | 0.0982652i | \(0.0313293\pi\) | ||||
−0.995160 | + | 0.0982652i | \(0.968671\pi\) | |||||||
\(252\) | 161.843 | + | 82.2208i | 0.642233 | + | 0.326273i | ||||
\(253\) | 20.7855 | 0.0821560 | ||||||||
\(254\) | 63.8065 | + | 103.984i | 0.251207 | + | 0.409386i | ||||
\(255\) | 6.32375i | 0.0247990i | ||||||||
\(256\) | −77.9498 | + | 243.844i | −0.304491 | + | 0.952515i | ||||
\(257\) | −444.392 | −1.72915 | −0.864577 | − | 0.502501i | \(-0.832413\pi\) | ||||
−0.864577 | + | 0.502501i | \(0.832413\pi\) | |||||||
\(258\) | 119.910 | − | 73.5789i | 0.464766 | − | 0.285189i | ||||
\(259\) | − | 175.755i | − | 0.678591i | ||||||
\(260\) | −56.3501 | + | 110.919i | −0.216731 | + | 0.426612i | ||||
\(261\) | −60.7526 | −0.232769 | ||||||||
\(262\) | 80.7519 | + | 131.600i | 0.308213 | + | 0.502288i | ||||
\(263\) | 122.135i | 0.464393i | 0.972669 | + | 0.232196i | \(0.0745912\pi\) | ||||
−0.972669 | + | 0.232196i | \(0.925409\pi\) | |||||||
\(264\) | 1.52602 | + | 18.9577i | 0.00578039 | + | 0.0718095i | ||||
\(265\) | 148.021 | 0.558570 | ||||||||
\(266\) | 60.7467 | − | 37.2753i | 0.228371 | − | 0.140133i | ||||
\(267\) | 6.21445i | 0.0232751i | ||||||||
\(268\) | −63.6199 | − | 32.3208i | −0.237388 | − | 0.120600i | ||||
\(269\) | 348.304 | 1.29481 | 0.647406 | − | 0.762146i | \(-0.275854\pi\) | ||||
0.647406 | + | 0.762146i | \(0.275854\pi\) | |||||||
\(270\) | 63.2057 | + | 103.005i | 0.234095 | + | 0.381500i | ||||
\(271\) | − | 414.498i | − | 1.52951i | −0.644320 | − | 0.764756i | \(-0.722860\pi\) | ||
0.644320 | − | 0.764756i | \(-0.277140\pi\) | |||||||
\(272\) | 14.3684 | + | 19.6778i | 0.0528248 | + | 0.0723448i | ||||
\(273\) | −211.186 | −0.773576 | ||||||||
\(274\) | −374.348 | + | 229.707i | −1.36623 | + | 0.838345i | ||||
\(275\) | − | 6.40073i | − | 0.0232754i | ||||||
\(276\) | −54.6300 | + | 107.533i | −0.197935 | + | 0.389613i | ||||
\(277\) | −41.5582 | −0.150030 | −0.0750148 | − | 0.997182i | \(-0.523900\pi\) | ||||
−0.0750148 | + | 0.997182i | \(0.523900\pi\) | |||||||
\(278\) | 71.2654 | + | 116.139i | 0.256350 | + | 0.417768i | ||||
\(279\) | 118.685i | 0.425396i | ||||||||
\(280\) | 145.774 | − | 11.7343i | 0.520623 | − | 0.0419081i | ||||
\(281\) | 481.771 | 1.71449 | 0.857243 | − | 0.514912i | \(-0.172175\pi\) | ||||
0.857243 | + | 0.514912i | \(0.172175\pi\) | |||||||
\(282\) | −10.2306 | + | 6.27768i | −0.0362787 | + | 0.0222613i | ||||
\(283\) | − | 191.254i | − | 0.675811i | −0.941180 | − | 0.337905i | \(-0.890282\pi\) | ||
0.941180 | − | 0.337905i | \(-0.109718\pi\) | |||||||
\(284\) | 116.339 | + | 59.1038i | 0.409646 | + | 0.208112i | ||||
\(285\) | 18.1009 | 0.0635120 | ||||||||
\(286\) | 18.6257 | + | 30.3539i | 0.0651250 | + | 0.106133i | ||||
\(287\) | − | 519.635i | − | 1.81058i | ||||||
\(288\) | 164.316 | + | 67.4903i | 0.570540 | + | 0.234341i | ||||
\(289\) | −286.681 | −0.991976 | ||||||||
\(290\) | −41.7164 | + | 25.5980i | −0.143850 | + | 0.0882688i | ||||
\(291\) | 285.159i | 0.979928i | ||||||||
\(292\) | −8.36899 | + | 16.4734i | −0.0286609 | + | 0.0564159i | ||||
\(293\) | −35.2863 | −0.120431 | −0.0602154 | − | 0.998185i | \(-0.519179\pi\) | ||||
−0.0602154 | + | 0.998185i | \(0.519179\pi\) | |||||||
\(294\) | 34.6496 | + | 56.4677i | 0.117856 | + | 0.192067i | ||||
\(295\) | 0.291997i | 0.000989821i | ||||||||
\(296\) | −13.7994 | − | 171.430i | −0.0466197 | − | 0.579155i | ||||
\(297\) | 34.5935 | 0.116477 | ||||||||
\(298\) | 73.6042 | − | 45.1649i | 0.246994 | − | 0.151560i | ||||
\(299\) | 225.849i | 0.755348i | ||||||||
\(300\) | 33.1141 | + | 16.8229i | 0.110380 | + | 0.0560763i | ||||
\(301\) | −309.661 | −1.02877 | ||||||||
\(302\) | −248.804 | − | 405.470i | −0.823855 | − | 1.34262i | ||||
\(303\) | − | 31.9250i | − | 0.105363i | ||||||
\(304\) | 56.3252 | − | 41.1276i | 0.185280 | − | 0.135288i | ||||
\(305\) | 45.8717 | 0.150399 | ||||||||
\(306\) | 14.4102 | − | 8.84235i | 0.0470921 | − | 0.0288966i | ||||
\(307\) | − | 111.567i | − | 0.363411i | −0.983353 | − | 0.181706i | \(-0.941838\pi\) | ||
0.983353 | − | 0.181706i | \(-0.0581618\pi\) | |||||||
\(308\) | 18.9610 | − | 37.3226i | 0.0615615 | − | 0.121177i | ||||
\(309\) | −324.711 | −1.05084 | ||||||||
\(310\) | 50.0078 | + | 81.4965i | 0.161315 | + | 0.262892i | ||||
\(311\) | − | 317.697i | − | 1.02154i | −0.859719 | − | 0.510768i | \(-0.829361\pi\) | ||
0.859719 | − | 0.510768i | \(-0.170639\pi\) | |||||||
\(312\) | −205.989 | + | 16.5813i | −0.660222 | + | 0.0531453i | ||||
\(313\) | −68.8351 | −0.219920 | −0.109960 | − | 0.993936i | \(-0.535072\pi\) | ||||
−0.109960 | + | 0.993936i | \(0.535072\pi\) | |||||||
\(314\) | −382.143 | + | 234.490i | −1.21702 | + | 0.746783i | ||||
\(315\) | − | 101.479i | − | 0.322154i | ||||||
\(316\) | 37.6743 | + | 19.1397i | 0.119223 | + | 0.0605685i | ||||
\(317\) | −156.039 | −0.492235 | −0.246118 | − | 0.969240i | \(-0.579155\pi\) | ||||
−0.246118 | + | 0.969240i | \(0.579155\pi\) | |||||||
\(318\) | 128.592 | + | 209.563i | 0.404377 | + | 0.659003i | ||||
\(319\) | 14.0102i | 0.0439190i | ||||||||
\(320\) | 141.266 | − | 22.8910i | 0.441455 | − | 0.0715344i | ||||
\(321\) | 170.964 | 0.532597 | ||||||||
\(322\) | 226.280 | − | 138.850i | 0.702734 | − | 0.431210i | ||||
\(323\) | − | 6.63785i | − | 0.0205506i | ||||||
\(324\) | −0.407495 | + | 0.802109i | −0.00125770 | + | 0.00247564i | ||||
\(325\) | 69.5485 | 0.213996 | ||||||||
\(326\) | 155.945 | + | 254.140i | 0.478358 | + | 0.779569i | ||||
\(327\) | 280.830i | 0.858808i | ||||||||
\(328\) | −40.7993 | − | 506.847i | −0.124388 | − | 1.54527i | ||||
\(329\) | 26.4200 | 0.0803040 | ||||||||
\(330\) | 9.06193 | − | 5.56057i | 0.0274604 | − | 0.0168502i | ||||
\(331\) | 127.828i | 0.386186i | 0.981180 | + | 0.193093i | \(0.0618520\pi\) | ||||
−0.981180 | + | 0.193093i | \(0.938148\pi\) | |||||||
\(332\) | 17.1384 | + | 8.70681i | 0.0516217 | + | 0.0262253i | ||||
\(333\) | −119.338 | −0.358373 | ||||||||
\(334\) | −333.681 | − | 543.791i | −0.999044 | − | 1.62812i | ||||
\(335\) | 39.8910i | 0.119078i | ||||||||
\(336\) | 143.253 | + | 196.188i | 0.426348 | + | 0.583894i | ||||
\(337\) | −486.406 | −1.44334 | −0.721670 | − | 0.692237i | \(-0.756625\pi\) | ||||
−0.721670 | + | 0.692237i | \(0.756625\pi\) | |||||||
\(338\) | −41.7300 | + | 25.6063i | −0.123462 | + | 0.0757583i | ||||
\(339\) | − | 322.403i | − | 0.951041i | ||||||
\(340\) | 6.16918 | − | 12.1434i | 0.0181447 | − | 0.0357158i | ||||
\(341\) | 27.3701 | 0.0802642 | ||||||||
\(342\) | −25.3101 | − | 41.2473i | −0.0740061 | − | 0.120606i | ||||
\(343\) | 254.769i | 0.742768i | ||||||||
\(344\) | −302.041 | + | 24.3131i | −0.878026 | + | 0.0706777i | ||||
\(345\) | 67.4255 | 0.195436 | ||||||||
\(346\) | −42.9749 | + | 26.3702i | −0.124205 | + | 0.0762144i | ||||
\(347\) | − | 361.957i | − | 1.04310i | −0.853220 | − | 0.521551i | \(-0.825354\pi\) | ||
0.853220 | − | 0.521551i | \(-0.174646\pi\) | |||||||
\(348\) | −72.4814 | − | 36.8226i | −0.208280 | − | 0.105812i | ||||
\(349\) | 483.043 | 1.38408 | 0.692038 | − | 0.721861i | \(-0.256713\pi\) | ||||
0.692038 | + | 0.721861i | \(0.256713\pi\) | |||||||
\(350\) | −42.7577 | − | 69.6813i | −0.122165 | − | 0.199089i | ||||
\(351\) | 375.884i | 1.07089i | ||||||||
\(352\) | 15.5640 | − | 37.8928i | 0.0442158 | − | 0.107650i | ||||
\(353\) | 690.031 | 1.95476 | 0.977381 | − | 0.211486i | \(-0.0678304\pi\) | ||||
0.977381 | + | 0.211486i | \(0.0678304\pi\) | |||||||
\(354\) | −0.413399 | + | 0.253670i | −0.00116779 | + | 0.000716581i | ||||
\(355\) | − | 72.9471i | − | 0.205485i | ||||||
\(356\) | 6.06256 | − | 11.9335i | 0.0170297 | − | 0.0335210i | ||||
\(357\) | 23.1206 | 0.0647635 | ||||||||
\(358\) | −163.518 | − | 266.481i | −0.456754 | − | 0.744361i | ||||
\(359\) | − | 92.2998i | − | 0.257102i | −0.991703 | − | 0.128551i | \(-0.958967\pi\) | ||
0.991703 | − | 0.128551i | \(-0.0410327\pi\) | |||||||
\(360\) | −7.96761 | − | 98.9813i | −0.0221323 | − | 0.274948i | ||||
\(361\) | −19.0000 | −0.0526316 | ||||||||
\(362\) | −25.6367 | + | 15.7311i | −0.0708195 | + | 0.0434562i | ||||
\(363\) | 221.668i | 0.610654i | ||||||||
\(364\) | 405.537 | + | 206.024i | 1.11411 | + | 0.566001i | ||||
\(365\) | 10.3292 | 0.0282991 | ||||||||
\(366\) | 39.8506 | + | 64.9436i | 0.108881 | + | 0.177441i | ||||
\(367\) | 19.5821i | 0.0533571i | 0.999644 | + | 0.0266786i | \(0.00849306\pi\) | ||||
−0.999644 | + | 0.0266786i | \(0.991507\pi\) | |||||||
\(368\) | 209.810 | − | 153.199i | 0.570136 | − | 0.416302i | ||||
\(369\) | −352.834 | −0.956190 | ||||||||
\(370\) | −81.9448 | + | 50.2829i | −0.221473 | + | 0.135900i | ||||
\(371\) | − | 541.186i | − | 1.45872i | ||||||
\(372\) | −71.9362 | + | 141.599i | −0.193377 | + | 0.380641i | ||||
\(373\) | 484.796 | 1.29972 | 0.649860 | − | 0.760054i | \(-0.274827\pi\) | ||||
0.649860 | + | 0.760054i | \(0.274827\pi\) | |||||||
\(374\) | −2.03914 | − | 3.32313i | −0.00545224 | − | 0.00888538i | ||||
\(375\) | − | 20.7632i | − | 0.0553685i | ||||||
\(376\) | 25.7698 | − | 2.07437i | 0.0685368 | − | 0.00551695i | ||||
\(377\) | −152.231 | −0.403795 | ||||||||
\(378\) | 376.601 | − | 231.089i | 0.996299 | − | 0.611348i | ||||
\(379\) | − | 470.481i | − | 1.24138i | −0.784058 | − | 0.620688i | \(-0.786854\pi\) | ||
0.784058 | − | 0.620688i | \(-0.213146\pi\) | |||||||
\(380\) | −34.7588 | − | 17.6585i | −0.0914706 | − | 0.0464697i | ||||
\(381\) | 113.284 | 0.297333 | ||||||||
\(382\) | −105.061 | − | 171.215i | −0.275028 | − | 0.448206i | ||||
\(383\) | 699.541i | 1.82648i | 0.407425 | + | 0.913239i | \(0.366427\pi\) | ||||
−0.407425 | + | 0.913239i | \(0.633573\pi\) | |||||||
\(384\) | 155.131 | + | 180.113i | 0.403988 | + | 0.469044i | ||||
\(385\) | −23.4020 | −0.0607844 | ||||||||
\(386\) | 102.685 | − | 63.0095i | 0.266024 | − | 0.163237i | ||||
\(387\) | 210.261i | 0.543310i | ||||||||
\(388\) | 278.189 | − | 547.585i | 0.716982 | − | 1.41130i | ||||
\(389\) | 674.975 | 1.73515 | 0.867577 | − | 0.497303i | \(-0.165676\pi\) | ||||
0.867577 | + | 0.497303i | \(0.165676\pi\) | |||||||
\(390\) | 60.4196 | + | 98.4644i | 0.154922 | + | 0.252473i | ||||
\(391\) | − | 24.7258i | − | 0.0632374i | ||||||
\(392\) | −11.4495 | − | 142.236i | −0.0292079 | − | 0.362848i | ||||
\(393\) | 143.369 | 0.364807 | ||||||||
\(394\) | −537.576 | + | 329.867i | −1.36441 | + | 0.837226i | ||||
\(395\) | − | 23.6226i | − | 0.0598040i | ||||||
\(396\) | −25.3422 | − | 12.8746i | −0.0639954 | − | 0.0325115i | ||||
\(397\) | 96.0622 | 0.241970 | 0.120985 | − | 0.992654i | \(-0.461395\pi\) | ||||
0.120985 | + | 0.992654i | \(0.461395\pi\) | |||||||
\(398\) | 283.747 | + | 462.416i | 0.712932 | + | 1.16185i | ||||
\(399\) | − | 66.1796i | − | 0.165864i | ||||||
\(400\) | −47.1766 | − | 64.6094i | −0.117941 | − | 0.161523i | ||||
\(401\) | 234.848 | 0.585656 | 0.292828 | − | 0.956165i | \(-0.405404\pi\) | ||||
0.292828 | + | 0.956165i | \(0.405404\pi\) | |||||||
\(402\) | −56.4762 | + | 34.6549i | −0.140488 | + | 0.0862062i | ||||
\(403\) | 297.396i | 0.737955i | ||||||||
\(404\) | −31.1447 | + | 61.3049i | −0.0770908 | + | 0.151745i | ||||
\(405\) | 0.502938 | 0.00124182 | ||||||||
\(406\) | 93.5899 | + | 152.521i | 0.230517 | + | 0.375668i | ||||
\(407\) | 27.5206i | 0.0676183i | ||||||||
\(408\) | 22.5516 | − | 1.81531i | 0.0552735 | − | 0.00444930i | ||||
\(409\) | 408.817 | 0.999552 | 0.499776 | − | 0.866155i | \(-0.333416\pi\) | ||||
0.499776 | + | 0.866155i | \(0.333416\pi\) | |||||||
\(410\) | −242.277 | + | 148.666i | −0.590920 | + | 0.362599i | ||||
\(411\) | 407.827i | 0.992281i | ||||||||
\(412\) | 623.536 | + | 316.774i | 1.51344 | + | 0.768869i | ||||
\(413\) | 1.06758 | 0.00258495 | ||||||||
\(414\) | −94.2795 | − | 153.645i | −0.227728 | − | 0.371123i | ||||
\(415\) | − | 10.7461i | − | 0.0258943i | ||||||
\(416\) | 411.733 | + | 169.114i | 0.989743 | + | 0.406523i | ||||
\(417\) | 126.526 | 0.303421 | ||||||||
\(418\) | −9.51204 | + | 5.83677i | −0.0227561 | + | 0.0139636i | ||||
\(419\) | − | 276.957i | − | 0.660996i | −0.943807 | − | 0.330498i | \(-0.892783\pi\) | ||
0.943807 | − | 0.330498i | \(-0.107217\pi\) | |||||||
\(420\) | 61.5070 | − | 121.070i | 0.146445 | − | 0.288262i | ||||
\(421\) | −465.271 | −1.10516 | −0.552579 | − | 0.833461i | \(-0.686356\pi\) | ||||
−0.552579 | + | 0.833461i | \(0.686356\pi\) | |||||||
\(422\) | 206.289 | + | 336.184i | 0.488836 | + | 0.796645i | ||||
\(423\) | − | 17.9393i | − | 0.0424097i | ||||||
\(424\) | −42.4914 | − | 527.868i | −0.100215 | − | 1.24497i | ||||
\(425\) | −7.61414 | −0.0179156 | ||||||||
\(426\) | 103.276 | − | 63.3721i | 0.242432 | − | 0.148761i | ||||
\(427\) | − | 167.714i | − | 0.392772i | ||||||
\(428\) | −328.298 | − | 166.785i | −0.767052 | − | 0.389685i | ||||
\(429\) | 33.0686 | 0.0770831 | ||||||||
\(430\) | 88.5930 | + | 144.378i | 0.206030 | + | 0.335763i | ||||
\(431\) | 635.325i | 1.47407i | 0.675854 | + | 0.737036i | \(0.263775\pi\) | ||||
−0.675854 | + | 0.737036i | \(0.736225\pi\) | |||||||
\(432\) | 349.189 | − | 254.971i | 0.808309 | − | 0.590212i | ||||
\(433\) | 344.189 | 0.794894 | 0.397447 | − | 0.917625i | \(-0.369896\pi\) | ||||
0.397447 | + | 0.917625i | \(0.369896\pi\) | |||||||
\(434\) | 297.963 | − | 182.836i | 0.686552 | − | 0.421281i | ||||
\(435\) | 45.4473i | 0.104477i | ||||||||
\(436\) | 273.966 | − | 539.273i | 0.628363 | − | 1.23686i | ||||
\(437\) | −70.7746 | −0.161956 | ||||||||
\(438\) | 8.97337 | + | 14.6237i | 0.0204872 | + | 0.0333874i | ||||
\(439\) | − | 303.262i | − | 0.690802i | −0.938455 | − | 0.345401i | \(-0.887743\pi\) | ||
0.938455 | − | 0.345401i | \(-0.112257\pi\) | |||||||
\(440\) | −22.8261 | + | 1.83741i | −0.0518775 | + | 0.00417594i | ||||
\(441\) | −99.0157 | −0.224526 | ||||||||
\(442\) | 36.1082 | − | 22.1567i | 0.0816928 | − | 0.0501282i | ||||
\(443\) | 833.153i | 1.88071i | 0.340198 | + | 0.940354i | \(0.389506\pi\) | ||||
−0.340198 | + | 0.940354i | \(0.610494\pi\) | |||||||
\(444\) | −142.378 | − | 72.3319i | −0.320670 | − | 0.162910i | ||||
\(445\) | −7.48254 | −0.0168147 | ||||||||
\(446\) | −317.775 | − | 517.871i | −0.712501 | − | 1.16115i | ||||
\(447\) | − | 80.1870i | − | 0.179389i | ||||||
\(448\) | −83.6929 | − | 516.488i | −0.186815 | − | 1.15288i | ||||
\(449\) | −310.068 | −0.690575 | −0.345287 | − | 0.938497i | \(-0.612219\pi\) | ||||
−0.345287 | + | 0.938497i | \(0.612219\pi\) | |||||||
\(450\) | −47.3139 | + | 29.0327i | −0.105142 | + | 0.0645170i | ||||
\(451\) | 81.3672i | 0.180415i | ||||||||
\(452\) | −314.523 | + | 619.104i | −0.695847 | + | 1.36970i | ||||
\(453\) | −441.734 | −0.975130 | ||||||||
\(454\) | 281.467 | + | 458.700i | 0.619971 | + | 1.01035i | ||||
\(455\) | − | 254.280i | − | 0.558856i | ||||||
\(456\) | −5.19611 | − | 64.5510i | −0.0113950 | − | 0.141559i | ||||
\(457\) | −279.919 | −0.612515 | −0.306257 | − | 0.951949i | \(-0.599077\pi\) | ||||
−0.306257 | + | 0.951949i | \(0.599077\pi\) | |||||||
\(458\) | −375.118 | + | 230.180i | −0.819036 | + | 0.502576i | ||||
\(459\) | − | 41.1515i | − | 0.0896548i | ||||||
\(460\) | −129.476 | − | 65.7775i | −0.281469 | − | 0.142995i | ||||
\(461\) | −42.2298 | −0.0916048 | −0.0458024 | − | 0.998951i | \(-0.514584\pi\) | ||||
−0.0458024 | + | 0.998951i | \(0.514584\pi\) | |||||||
\(462\) | −20.3303 | − | 33.1318i | −0.0440049 | − | 0.0717138i | ||||
\(463\) | 714.026i | 1.54217i | 0.636730 | + | 0.771087i | \(0.280286\pi\) | ||||
−0.636730 | + | 0.771087i | \(0.719714\pi\) | |||||||
\(464\) | 103.262 | + | 141.420i | 0.222547 | + | 0.304784i | ||||
\(465\) | 88.7852 | 0.190936 | ||||||||
\(466\) | 602.615 | − | 369.776i | 1.29316 | − | 0.793510i | ||||
\(467\) | 132.381i | 0.283472i | 0.989905 | + | 0.141736i | \(0.0452683\pi\) | ||||
−0.989905 | + | 0.141736i | \(0.954732\pi\) | |||||||
\(468\) | 139.891 | − | 275.361i | 0.298913 | − | 0.588378i | ||||
\(469\) | 145.847 | 0.310975 | ||||||||
\(470\) | −7.55867 | − | 12.3182i | −0.0160823 | − | 0.0262089i | ||||
\(471\) | 416.320i | 0.883906i | ||||||||
\(472\) | 1.04131 | − | 0.0838216i | 0.00220617 | − | 0.000177588i | ||||
\(473\) | 48.4884 | 0.102512 | ||||||||
\(474\) | 33.4440 | − | 20.5219i | 0.0705570 | − | 0.0432951i | ||||
\(475\) | 21.7945i | 0.0458831i | ||||||||
\(476\) | −44.3979 | − | 22.5554i | −0.0932730 | − | 0.0473854i | ||||
\(477\) | −367.468 | −0.770372 | ||||||||
\(478\) | 315.826 | + | 514.695i | 0.660724 | + | 1.07677i | ||||
\(479\) | 331.142i | 0.691319i | 0.938360 | + | 0.345659i | \(0.112345\pi\) | ||||
−0.938360 | + | 0.345659i | \(0.887655\pi\) | |||||||
\(480\) | 50.4876 | − | 122.920i | 0.105182 | − | 0.256083i | ||||
\(481\) | −299.032 | −0.621687 | ||||||||
\(482\) | 161.621 | − | 99.1736i | 0.335313 | − | 0.205754i | ||||
\(483\) | − | 246.518i | − | 0.510388i | ||||||
\(484\) | 216.250 | − | 425.664i | 0.446797 | − | 0.879471i | ||||
\(485\) | −343.347 | −0.707932 | ||||||||
\(486\) | −253.961 | − | 413.875i | −0.522554 | − | 0.851594i | ||||
\(487\) | 770.905i | 1.58297i | 0.611191 | + | 0.791483i | \(0.290691\pi\) | ||||
−0.611191 | + | 0.791483i | \(0.709309\pi\) | |||||||
\(488\) | −13.1681 | − | 163.586i | −0.0269838 | − | 0.335218i | ||||
\(489\) | 276.869 | 0.566193 | ||||||||
\(490\) | −67.9901 | + | 41.7200i | −0.138755 | + | 0.0851429i | ||||
\(491\) | − | 631.698i | − | 1.28655i | −0.765634 | − | 0.643277i | \(-0.777574\pi\) | ||
0.765634 | − | 0.643277i | \(-0.222426\pi\) | |||||||
\(492\) | −420.952 | − | 213.856i | −0.855593 | − | 0.434666i | ||||
\(493\) | 16.6661 | 0.0338055 | ||||||||
\(494\) | −63.4207 | − | 103.355i | −0.128382 | − | 0.209221i | ||||
\(495\) | 15.8901i | 0.0321011i | ||||||||
\(496\) | 276.275 | − | 201.731i | 0.557007 | − | 0.406716i | ||||
\(497\) | −266.705 | −0.536631 | ||||||||
\(498\) | 15.2140 | − | 9.33559i | 0.0305502 | − | 0.0187462i | ||||
\(499\) | − | 731.949i | − | 1.46683i | −0.679780 | − | 0.733416i | \(-0.737925\pi\) | ||
0.679780 | − | 0.733416i | \(-0.262075\pi\) | |||||||
\(500\) | −20.2557 | + | 39.8711i | −0.0405114 | + | 0.0797423i | ||||
\(501\) | −592.425 | −1.18249 | ||||||||
\(502\) | −51.5988 | − | 84.0893i | −0.102786 | − | 0.167509i | ||||
\(503\) | − | 488.482i | − | 0.971137i | −0.874199 | − | 0.485568i | \(-0.838613\pi\) | ||
0.874199 | − | 0.485568i | \(-0.161387\pi\) | |||||||
\(504\) | −361.890 | + | 29.1308i | −0.718036 | + | 0.0577991i | ||||
\(505\) | 38.4394 | 0.0761177 | ||||||||
\(506\) | −35.4321 | + | 21.7418i | −0.0700240 | + | 0.0429680i | ||||
\(507\) | 45.4621i | 0.0896689i | ||||||||
\(508\) | −217.537 | − | 110.515i | −0.428222 | − | 0.217549i | ||||
\(509\) | 411.107 | 0.807677 | 0.403838 | − | 0.914830i | \(-0.367676\pi\) | ||||
0.403838 | + | 0.914830i | \(0.367676\pi\) | |||||||
\(510\) | −6.61471 | − | 10.7798i | −0.0129700 | − | 0.0211369i | ||||
\(511\) | − | 37.7650i | − | 0.0739041i | ||||||
\(512\) | −122.185 | − | 497.207i | −0.238644 | − | 0.971107i | ||||
\(513\) | −117.791 | −0.229612 | ||||||||
\(514\) | 757.538 | − | 464.839i | 1.47381 | − | 0.904356i | ||||
\(515\) | − | 390.969i | − | 0.759164i | ||||||
\(516\) | −127.441 | + | 250.854i | −0.246979 | + | 0.486151i | ||||
\(517\) | −4.13698 | −0.00800190 | ||||||||
\(518\) | 183.842 | + | 299.602i | 0.354907 | + | 0.578383i | ||||
\(519\) | 46.8183i | 0.0902087i | ||||||||
\(520\) | −19.9648 | − | 248.022i | −0.0383939 | − | 0.476966i | ||||
\(521\) | 883.975 | 1.69669 | 0.848345 | − | 0.529444i | \(-0.177599\pi\) | ||||
0.848345 | + | 0.529444i | \(0.177599\pi\) | |||||||
\(522\) | 103.562 | − | 63.5479i | 0.198396 | − | 0.121739i | ||||
\(523\) | − | 800.103i | − | 1.52983i | −0.644129 | − | 0.764917i | \(-0.722780\pi\) | ||
0.644129 | − | 0.764917i | \(-0.277220\pi\) | |||||||
\(524\) | −275.309 | − | 139.865i | −0.525399 | − | 0.266918i | ||||
\(525\) | −75.9132 | −0.144597 | ||||||||
\(526\) | −127.755 | − | 208.199i | −0.242880 | − | 0.395816i | ||||
\(527\) | − | 32.5587i | − | 0.0617813i | ||||||
\(528\) | −22.4313 | − | 30.7202i | −0.0424835 | − | 0.0581822i | ||||
\(529\) | 265.366 | 0.501638 | ||||||||
\(530\) | −252.325 | + | 154.831i | −0.476085 | + | 0.292135i | ||||
\(531\) | − | 0.724894i | − | 0.00136515i | ||||||
\(532\) | −64.5621 | + | 127.083i | −0.121357 | + | 0.238879i | ||||
\(533\) | −884.113 | −1.65875 | ||||||||
\(534\) | −6.50038 | − | 10.5935i | −0.0121730 | − | 0.0198380i | ||||
\(535\) | 205.850i | 0.384766i | ||||||||
\(536\) | 142.258 | − | 11.4512i | 0.265407 | − | 0.0213642i | ||||
\(537\) | −290.314 | −0.540622 | ||||||||
\(538\) | −593.740 | + | 364.330i | −1.10361 | + | 0.677193i | ||||
\(539\) | 22.8340i | 0.0423637i | ||||||||
\(540\) | −215.488 | − | 109.474i | −0.399053 | − | 0.202730i | ||||
\(541\) | −620.328 | −1.14663 | −0.573316 | − | 0.819334i | \(-0.694343\pi\) | ||||
−0.573316 | + | 0.819334i | \(0.694343\pi\) | |||||||
\(542\) | 433.569 | + | 706.577i | 0.799943 | + | 1.30365i | ||||
\(543\) | 27.9295i | 0.0514355i | ||||||||
\(544\) | −45.0763 | − | 18.5145i | −0.0828609 | − | 0.0340339i | ||||
\(545\) | −338.135 | −0.620431 | ||||||||
\(546\) | 360.000 | − | 220.903i | 0.659341 | − | 0.404584i | ||||
\(547\) | 347.136i | 0.634619i | 0.948322 | + | 0.317309i | \(0.102779\pi\) | ||||
−0.948322 | + | 0.317309i | \(0.897221\pi\) | |||||||
\(548\) | 397.859 | − | 783.143i | 0.726021 | − | 1.42909i | ||||
\(549\) | −113.878 | −0.207429 | ||||||||
\(550\) | 6.69523 | + | 10.9111i | 0.0121731 | + | 0.0198383i | ||||
\(551\) | − | 47.7047i | − | 0.0865784i | ||||||
\(552\) | −19.3554 | − | 240.451i | −0.0350641 | − | 0.435600i | ||||
\(553\) | −86.3676 | −0.156180 | ||||||||
\(554\) | 70.8425 | − | 43.4703i | 0.127875 | − | 0.0784663i | ||||
\(555\) | 89.2736i | 0.160853i | ||||||||
\(556\) | −242.966 | − | 123.434i | −0.436990 | − | 0.222003i | ||||
\(557\) | 95.2075 | 0.170929 | 0.0854645 | − | 0.996341i | \(-0.472763\pi\) | ||||
0.0854645 | + | 0.996341i | \(0.472763\pi\) | |||||||
\(558\) | −124.146 | − | 202.318i | −0.222484 | − | 0.362578i | ||||
\(559\) | 526.861i | 0.942507i | ||||||||
\(560\) | −236.221 | + | 172.484i | −0.421824 | + | 0.308008i | ||||
\(561\) | −3.62034 | −0.00645336 | ||||||||
\(562\) | −821.255 | + | 503.937i | −1.46131 | + | 0.896685i | ||||
\(563\) | − | 448.547i | − | 0.796709i | −0.917232 | − | 0.398354i | \(-0.869581\pi\) | ||
0.917232 | − | 0.398354i | \(-0.130419\pi\) | |||||||
\(564\) | 10.8731 | − | 21.4026i | 0.0192786 | − | 0.0379479i | ||||
\(565\) | 388.191 | 0.687063 | ||||||||
\(566\) | 200.054 | + | 326.024i | 0.353453 | + | 0.576013i | ||||
\(567\) | − | 1.83882i | − | 0.00324306i | ||||||
\(568\) | −260.142 | + | 20.9404i | −0.457997 | + | 0.0368669i | ||||
\(569\) | 137.458 | 0.241578 | 0.120789 | − | 0.992678i | \(-0.461457\pi\) | ||||
0.120789 | + | 0.992678i | \(0.461457\pi\) | |||||||
\(570\) | −30.8559 | + | 18.9338i | −0.0541331 | + | 0.0332171i | ||||
\(571\) | 234.952i | 0.411475i | 0.978607 | + | 0.205737i | \(0.0659592\pi\) | ||||
−0.978607 | + | 0.205737i | \(0.934041\pi\) | |||||||
\(572\) | −63.5011 | − | 32.2604i | −0.111016 | − | 0.0563993i | ||||
\(573\) | −186.527 | −0.325528 | ||||||||
\(574\) | 543.544 | + | 885.801i | 0.946940 | + | 1.54321i | ||||
\(575\) | 81.1840i | 0.141190i | ||||||||
\(576\) | −350.697 | + | 56.8278i | −0.608850 | + | 0.0986594i | ||||
\(577\) | 786.011 | 1.36224 | 0.681118 | − | 0.732173i | \(-0.261494\pi\) | ||||
0.681118 | + | 0.732173i | \(0.261494\pi\) | |||||||
\(578\) | 488.693 | − | 299.871i | 0.845490 | − | 0.518809i | ||||
\(579\) | − | 111.869i | − | 0.193210i | ||||||
\(580\) | 44.3365 | − | 87.2715i | 0.0764422 | − | 0.150468i | ||||
\(581\) | −39.2894 | −0.0676238 | ||||||||
\(582\) | −298.279 | − | 486.099i | −0.512507 | − | 0.835221i | ||||
\(583\) | 84.7418i | 0.145355i | ||||||||
\(584\) | −2.96513 | − | 36.8357i | −0.00507727 | − | 0.0630748i | ||||
\(585\) | −172.657 | −0.295140 | ||||||||
\(586\) | 60.1510 | − | 36.9098i | 0.102647 | − | 0.0629860i | ||||
\(587\) | 652.719i | 1.11196i | 0.831197 | + | 0.555978i | \(0.187656\pi\) | ||||
−0.831197 | + | 0.555978i | \(0.812344\pi\) | |||||||
\(588\) | −118.132 | − | 60.0142i | −0.200904 | − | 0.102065i | ||||
\(589\) | −93.1952 | −0.158226 | ||||||||
\(590\) | −0.305432 | − | 0.497755i | −0.000517681 | − | 0.000843653i | ||||
\(591\) | 585.654i | 0.990955i | ||||||||
\(592\) | 202.841 | + | 277.795i | 0.342637 | + | 0.469249i | ||||
\(593\) | 672.379 | 1.13386 | 0.566930 | − | 0.823766i | \(-0.308131\pi\) | ||||
0.566930 | + | 0.823766i | \(0.308131\pi\) | |||||||
\(594\) | −58.9702 | + | 36.1852i | −0.0992764 | + | 0.0609178i | ||||
\(595\) | 27.8384i | 0.0467872i | ||||||||
\(596\) | −78.2271 | + | 153.981i | −0.131253 | + | 0.258358i | ||||
\(597\) | 503.772 | 0.843839 | ||||||||
\(598\) | −236.241 | − | 384.996i | −0.395051 | − | 0.643805i | ||||
\(599\) | − | 503.861i | − | 0.841170i | −0.907253 | − | 0.420585i | \(-0.861825\pi\) | ||
0.907253 | − | 0.420585i | \(-0.138175\pi\) | |||||||
\(600\) | −74.0451 | + | 5.96034i | −0.123409 | + | 0.00993391i | ||||
\(601\) | −841.167 | −1.39961 | −0.699806 | − | 0.714333i | \(-0.746730\pi\) | ||||
−0.699806 | + | 0.714333i | \(0.746730\pi\) | |||||||
\(602\) | 527.867 | − | 323.909i | 0.876855 | − | 0.538055i | ||||
\(603\) | − | 99.0308i | − | 0.164230i | ||||||
\(604\) | 848.253 | + | 430.937i | 1.40439 | + | 0.713472i | ||||
\(605\) | −266.900 | −0.441157 | ||||||||
\(606\) | 33.3939 | + | 54.4212i | 0.0551054 | + | 0.0898040i | ||||
\(607\) | 835.852i | 1.37702i | 0.725226 | + | 0.688511i | \(0.241735\pi\) | ||||
−0.725226 | + | 0.688511i | \(0.758265\pi\) | |||||||
\(608\) | −52.9953 | + | 129.025i | −0.0871633 | + | 0.212212i | ||||
\(609\) | 166.162 | 0.272844 | ||||||||
\(610\) | −78.1956 | + | 47.9823i | −0.128190 | + | 0.0786595i | ||||
\(611\) | − | 44.9513i | − | 0.0735700i | ||||||
\(612\) | −15.3152 | + | 30.1464i | −0.0250249 | + | 0.0492588i | ||||
\(613\) | −418.953 | −0.683447 | −0.341723 | − | 0.939801i | \(-0.611011\pi\) | ||||
−0.341723 | + | 0.939801i | \(0.611011\pi\) | |||||||
\(614\) | 116.701 | + | 190.184i | 0.190066 | + | 0.309746i | ||||
\(615\) | 263.945i | 0.429179i | ||||||||
\(616\) | 6.71785 | + | 83.4556i | 0.0109056 | + | 0.135480i | ||||
\(617\) | 103.772 | 0.168188 | 0.0840940 | − | 0.996458i | \(-0.473200\pi\) | ||||
0.0840940 | + | 0.996458i | \(0.473200\pi\) | |||||||
\(618\) | 553.521 | − | 339.651i | 0.895665 | − | 0.549597i | ||||
\(619\) | − | 233.917i | − | 0.377896i | −0.981987 | − | 0.188948i | \(-0.939492\pi\) | ||
0.981987 | − | 0.188948i | \(-0.0605077\pi\) | |||||||
\(620\) | −170.492 | − | 86.6151i | −0.274988 | − | 0.139702i | ||||
\(621\) | −438.769 | −0.706552 | ||||||||
\(622\) | 332.315 | + | 541.566i | 0.534268 | + | 0.870685i | ||||
\(623\) | 27.3573i | 0.0439121i | ||||||||
\(624\) | 333.797 | − | 243.732i | 0.534931 | − | 0.390597i | ||||
\(625\) | 25.0000 | 0.0400000 | ||||||||
\(626\) | 117.340 | − | 72.0022i | 0.187445 | − | 0.115020i | ||||
\(627\) | 10.3628i | 0.0165275i | ||||||||
\(628\) | 406.144 | − | 799.451i | 0.646726 | − | 1.27301i | ||||
\(629\) | 32.7378 | 0.0520474 | ||||||||
\(630\) | 106.148 | + | 172.986i | 0.168488 | + | 0.274582i | ||||
\(631\) | 406.859i | 0.644784i | 0.946606 | + | 0.322392i | \(0.104487\pi\) | ||||
−0.946606 | + | 0.322392i | \(0.895513\pi\) | |||||||
\(632\) | −84.2422 | + | 6.78117i | −0.133295 | + | 0.0107297i | ||||
\(633\) | 366.251 | 0.578595 | ||||||||
\(634\) | 265.993 | − | 163.218i | 0.419547 | − | 0.257442i | ||||
\(635\) | 136.400i | 0.214803i | ||||||||
\(636\) | −438.410 | − | 222.725i | −0.689324 | − | 0.350197i | ||||
\(637\) | −248.108 | −0.389495 | ||||||||
\(638\) | −14.6548 | − | 23.8826i | −0.0229699 | − | 0.0374335i | ||||
\(639\) | 181.094i | 0.283402i | ||||||||
\(640\) | −216.866 | + | 186.787i | −0.338853 | + | 0.291854i | ||||
\(641\) | 699.752 | 1.09166 | 0.545829 | − | 0.837897i | \(-0.316215\pi\) | ||||
0.545829 | + | 0.837897i | \(0.316215\pi\) | |||||||
\(642\) | −291.435 | + | 178.830i | −0.453948 | + | 0.278551i | ||||
\(643\) | 403.352i | 0.627298i | 0.949539 | + | 0.313649i | \(0.101551\pi\) | ||||
−0.949539 | + | 0.313649i | \(0.898449\pi\) | |||||||
\(644\) | −240.492 | + | 473.383i | −0.373435 | + | 0.735067i | ||||
\(645\) | 157.290 | 0.243861 | ||||||||
\(646\) | 6.94326 | + | 11.3153i | 0.0107481 | + | 0.0175159i | ||||
\(647\) | 407.762i | 0.630234i | 0.949053 | + | 0.315117i | \(0.102044\pi\) | ||||
−0.949053 | + | 0.315117i | \(0.897956\pi\) | |||||||
\(648\) | −0.144375 | − | 1.79357i | −0.000222801 | − | 0.00276785i | ||||
\(649\) | −0.167168 | −0.000257578 | ||||||||
\(650\) | −118.557 | + | 72.7485i | −0.182395 | + | 0.111921i | ||||
\(651\) | − | 324.612i | − | 0.498636i | ||||||
\(652\) | −531.665 | − | 270.101i | −0.815437 | − | 0.414266i | ||||
\(653\) | −282.048 | −0.431927 | −0.215963 | − | 0.976401i | \(-0.569289\pi\) | ||||
−0.215963 | + | 0.976401i | \(0.569289\pi\) | |||||||
\(654\) | −293.751 | − | 478.720i | −0.449161 | − | 0.731987i | ||||
\(655\) | 172.624i | 0.263549i | ||||||||
\(656\) | 599.717 | + | 821.326i | 0.914202 | + | 1.25202i | ||||
\(657\) | −25.6426 | −0.0390298 | ||||||||
\(658\) | −45.0371 | + | 27.6356i | −0.0684454 | + | 0.0419994i | ||||
\(659\) | 60.7464i | 0.0921796i | 0.998937 | + | 0.0460898i | \(0.0146760\pi\) | ||||
−0.998937 | + | 0.0460898i | \(0.985324\pi\) | |||||||
\(660\) | −9.63109 | + | 18.9578i | −0.0145926 | + | 0.0287239i | ||||
\(661\) | 895.639 | 1.35498 | 0.677488 | − | 0.735534i | \(-0.263069\pi\) | ||||
0.677488 | + | 0.735534i | \(0.263069\pi\) | |||||||
\(662\) | −133.709 | − | 217.903i | −0.201978 | − | 0.329158i | ||||
\(663\) | − | 39.3376i | − | 0.0593327i | ||||||
\(664\) | −38.3225 | + | 3.08482i | −0.0577147 | + | 0.00464581i | ||||
\(665\) | 79.6839 | 0.119825 | ||||||||
\(666\) | 203.431 | − | 124.829i | 0.305452 | − | 0.187431i | ||||
\(667\) | − | 177.699i | − | 0.266415i | ||||||
\(668\) | 1137.62 | + | 577.945i | 1.70303 | + | 0.865188i | ||||
\(669\) | −564.187 | −0.843329 | ||||||||
\(670\) | −41.7264 | − | 68.0005i | −0.0622782 | − | 0.101493i | ||||
\(671\) | 26.2615i | 0.0391378i | ||||||||
\(672\) | −449.413 | − | 184.590i | −0.668769 | − | 0.274687i | ||||
\(673\) | −127.602 | −0.189601 | −0.0948007 | − | 0.995496i | \(-0.530221\pi\) | ||||
−0.0948007 | + | 0.995496i | \(0.530221\pi\) | |||||||
\(674\) | 829.156 | − | 508.786i | 1.23020 | − | 0.754875i | ||||
\(675\) | 135.116i | 0.200171i | ||||||||
\(676\) | 44.3509 | − | 87.3000i | 0.0656079 | − | 0.129142i | ||||
\(677\) | −920.239 | −1.35929 | −0.679644 | − | 0.733542i | \(-0.737866\pi\) | ||||
−0.679644 | + | 0.733542i | \(0.737866\pi\) | |||||||
\(678\) | 337.237 | + | 549.587i | 0.497400 | + | 0.810601i | ||||
\(679\) | 1255.33i | 1.84879i | ||||||||
\(680\) | 2.18574 | + | 27.1533i | 0.00321432 | + | 0.0399314i | ||||
\(681\) | 499.724 | 0.733809 | ||||||||
\(682\) | −46.6567 | + | 28.6294i | −0.0684115 | + | 0.0419786i | ||||
\(683\) | − | 796.164i | − | 1.16569i | −0.812585 | − | 0.582843i | \(-0.801940\pi\) | ||
0.812585 | − | 0.582843i | \(-0.198060\pi\) | |||||||
\(684\) | 86.2901 | + | 43.8379i | 0.126155 | + | 0.0640905i | ||||
\(685\) | −491.046 | −0.716856 | ||||||||
\(686\) | −266.491 | − | 434.295i | −0.388471 | − | 0.633083i | ||||
\(687\) | 408.667i | 0.594858i | ||||||||
\(688\) | 489.445 | − | 357.383i | 0.711402 | − | 0.519453i | ||||
\(689\) | −920.781 | −1.33640 | ||||||||
\(690\) | −114.937 | + | 70.5278i | −0.166576 | + | 0.102214i | ||||
\(691\) | 518.339i | 0.750129i | 0.926999 | + | 0.375065i | \(0.122380\pi\) | ||||
−0.926999 | + | 0.375065i | \(0.877620\pi\) | |||||||
\(692\) | 45.6740 | − | 89.9043i | 0.0660029 | − | 0.129920i | ||||
\(693\) | 58.0964 | 0.0838331 | ||||||||
\(694\) | 378.610 | + | 617.012i | 0.545548 | + | 0.889067i | ||||
\(695\) | 152.345i | 0.219201i | ||||||||
\(696\) | 162.073 | − | 13.0462i | 0.232863 | − | 0.0187446i | ||||
\(697\) | 96.7922 | 0.138870 | ||||||||
\(698\) | −823.423 | + | 505.268i | −1.17969 | + | 0.723879i | ||||
\(699\) | − | 656.510i | − | 0.939213i | ||||||
\(700\) | 145.775 | + | 74.0578i | 0.208250 | + | 0.105797i | ||||
\(701\) | −938.374 | −1.33862 | −0.669311 | − | 0.742982i | \(-0.733411\pi\) | ||||
−0.669311 | + | 0.742982i | \(0.733411\pi\) | |||||||
\(702\) | −393.178 | − | 640.753i | −0.560083 | − | 0.912754i | ||||
\(703\) | − | 93.7078i | − | 0.133297i | ||||||
\(704\) | 13.1051 | + | 80.8744i | 0.0186152 | + | 0.114878i | ||||
\(705\) | −13.4199 | −0.0190353 | ||||||||
\(706\) | −1176.27 | + | 721.780i | −1.66610 | + | 1.02235i | ||||
\(707\) | − | 140.540i | − | 0.198784i | ||||||
\(708\) | 0.439364 | − | 0.864840i | 0.000620571 | − | 0.00122153i | ||||
\(709\) | 1222.24 | 1.72389 | 0.861945 | − | 0.507002i | \(-0.169246\pi\) | ||||
0.861945 | + | 0.507002i | \(0.169246\pi\) | |||||||
\(710\) | 76.3034 | + | 124.350i | 0.107470 | + | 0.175141i | ||||
\(711\) | 58.6439i | 0.0824809i | ||||||||
\(712\) | 2.14796 | + | 26.6840i | 0.00301680 | + | 0.0374776i | ||||
\(713\) | −347.150 | −0.486886 | ||||||||
\(714\) | −39.4127 | + | 24.1843i | −0.0551998 | + | 0.0338716i | ||||
\(715\) | 39.8164i | 0.0556873i | ||||||||
\(716\) | 557.485 | + | 283.218i | 0.778610 | + | 0.395556i | ||||
\(717\) | 560.726 | 0.782045 | ||||||||
\(718\) | 96.5465 | + | 157.340i | 0.134466 | + | 0.219136i | ||||
\(719\) | − | 968.957i | − | 1.34764i | −0.738893 | − | 0.673822i | \(-0.764651\pi\) | ||
0.738893 | − | 0.673822i | \(-0.235349\pi\) | |||||||
\(720\) | 117.118 | + | 160.395i | 0.162663 | + | 0.222771i | ||||
\(721\) | −1429.44 | −1.98258 | ||||||||
\(722\) | 32.3885 | − | 19.8742i | 0.0448594 | − | 0.0275266i | ||||
\(723\) | − | 176.075i | − | 0.243534i | ||||||
\(724\) | 27.2468 | − | 53.6324i | 0.0376338 | − | 0.0740780i | ||||
\(725\) | −54.7210 | −0.0754773 | ||||||||
\(726\) | −231.867 | − | 377.868i | −0.319375 | − | 0.520479i | ||||
\(727\) | − | 1141.20i | − | 1.56974i | −0.619658 | − | 0.784872i | \(-0.712729\pi\) | ||
0.619658 | − | 0.784872i | \(-0.287271\pi\) | |||||||
\(728\) | −906.806 | + | 72.9943i | −1.24561 | + | 0.100267i | ||||
\(729\) | −452.914 | −0.621281 | ||||||||
\(730\) | −17.6077 | + | 10.8044i | −0.0241202 | + | 0.0148006i | ||||
\(731\) | − | 57.6805i | − | 0.0789063i | ||||||
\(732\) | −135.863 | − | 69.0225i | −0.185606 | − | 0.0942931i | ||||
\(733\) | −346.877 | −0.473230 | −0.236615 | − | 0.971604i | \(-0.576038\pi\) | ||||
−0.236615 | + | 0.971604i | \(0.576038\pi\) | |||||||
\(734\) | −20.4830 | − | 33.3807i | −0.0279061 | − | 0.0454779i | ||||
\(735\) | 74.0708i | 0.100777i | ||||||||
\(736\) | −197.406 | + | 480.616i | −0.268215 | + | 0.653011i | ||||
\(737\) | −22.8375 | −0.0309871 | ||||||||
\(738\) | 601.462 | − | 369.068i | 0.814989 | − | 0.500092i | ||||
\(739\) | 802.229i | 1.08556i | 0.839875 | + | 0.542780i | \(0.182628\pi\) | ||||
−0.839875 | + | 0.542780i | \(0.817372\pi\) | |||||||
\(740\) | 87.0916 | − | 171.430i | 0.117691 | − | 0.231663i | ||||
\(741\) | −112.599 | −0.151955 | ||||||||
\(742\) | 566.087 | + | 922.538i | 0.762920 | + | 1.24331i | ||||
\(743\) | 64.1284i | 0.0863101i | 0.999068 | + | 0.0431550i | \(0.0137409\pi\) | ||||
−0.999068 | + | 0.0431550i | \(0.986259\pi\) | |||||||
\(744\) | −25.4870 | − | 316.623i | −0.0342567 | − | 0.425569i | ||||
\(745\) | 96.5495 | 0.129597 | ||||||||
\(746\) | −826.411 | + | 507.101i | −1.10779 | + | 0.679761i | ||||
\(747\) | 26.6777i | 0.0357131i | ||||||||
\(748\) | 6.95206 | + | 3.53185i | 0.00929420 | + | 0.00472172i | ||||
\(749\) | 752.617 | 1.00483 | ||||||||
\(750\) | 21.7185 | + | 35.3941i | 0.0289580 | + | 0.0471922i | ||||
\(751\) | − | 850.108i | − | 1.13197i | −0.824416 | − | 0.565984i | \(-0.808496\pi\) | ||
0.824416 | − | 0.565984i | \(-0.191504\pi\) | |||||||
\(752\) | −41.7590 | + | 30.4916i | −0.0555305 | + | 0.0405474i | ||||
\(753\) | −91.6099 | −0.121660 | ||||||||
\(754\) | 259.501 | − | 159.235i | 0.344166 | − | 0.211187i | ||||
\(755\) | − | 531.871i | − | 0.704466i | ||||||
\(756\) | −400.254 | + | 787.857i | −0.529437 | + | 1.04214i | ||||
\(757\) | −1205.86 | −1.59294 | −0.796472 | − | 0.604675i | \(-0.793303\pi\) | ||||
−0.796472 | + | 0.604675i | \(0.793303\pi\) | |||||||
\(758\) | 492.128 | + | 802.010i | 0.649246 | + | 1.05806i | ||||
\(759\) | 38.6010i | 0.0508577i | ||||||||
\(760\) | 77.7230 | − | 6.25640i | 0.102267 | − | 0.00823210i | ||||
\(761\) | 88.4463 | 0.116224 | 0.0581119 | − | 0.998310i | \(-0.481492\pi\) | ||||
0.0581119 | + | 0.998310i | \(0.481492\pi\) | |||||||
\(762\) | −193.110 | + | 118.496i | −0.253425 | + | 0.155507i | ||||
\(763\) | 1236.27i | 1.62028i | ||||||||
\(764\) | 358.185 | + | 181.968i | 0.468828 | + | 0.238178i | ||||
\(765\) | 18.9024 | 0.0247090 | ||||||||
\(766\) | −731.727 | − | 1192.48i | −0.955257 | − | 1.55676i | ||||
\(767\) | − | 1.81640i | − | 0.00236819i | ||||||
\(768\) | −452.846 | − | 144.762i | −0.589643 | − | 0.188492i | ||||
\(769\) | 282.910 | 0.367894 | 0.183947 | − | 0.982936i | \(-0.441113\pi\) | ||||
0.183947 | + | 0.982936i | \(0.441113\pi\) | |||||||
\(770\) | 39.8924 | − | 24.4787i | 0.0518084 | − | 0.0317906i | ||||
\(771\) | − | 825.288i | − | 1.07041i | ||||||
\(772\) | −109.135 | + | 214.820i | −0.141366 | + | 0.278264i | ||||
\(773\) | 471.596 | 0.610085 | 0.305042 | − | 0.952339i | \(-0.401329\pi\) | ||||
0.305042 | + | 0.952339i | \(0.401329\pi\) | |||||||
\(774\) | −219.935 | − | 358.424i | −0.284154 | − | 0.463080i | ||||
\(775\) | 106.902i | 0.137938i | ||||||||
\(776\) | 98.5622 | + | 1224.43i | 0.127013 | + | 1.57788i | ||||
\(777\) | 326.397 | 0.420074 | ||||||||
\(778\) | −1150.60 | + | 706.031i | −1.47892 | + | 0.907495i | ||||
\(779\) | − | 277.055i | − | 0.355655i | ||||||
\(780\) | −205.990 | − | 104.649i | −0.264089 | − | 0.134165i | ||||
\(781\) | 41.7621 | 0.0534726 | ||||||||
\(782\) | 25.8635 | + | 42.1491i | 0.0330735 | + | 0.0538991i | ||||
\(783\) | − | 295.746i | − | 0.377709i | ||||||
\(784\) | 168.298 | + | 230.488i | 0.214666 | + | 0.293990i | ||||
\(785\) | −501.272 | −0.638563 | ||||||||
\(786\) | −244.395 | + | 149.966i | −0.310936 | + | 0.190796i | ||||
\(787\) | − | 1199.05i | − | 1.52357i | −0.647829 | − | 0.761786i | \(-0.724323\pi\) | ||
0.647829 | − | 0.761786i | \(-0.275677\pi\) | |||||||
\(788\) | 571.340 | − | 1124.62i | 0.725051 | − | 1.42718i | ||||
\(789\) | −226.819 | −0.287477 | ||||||||
\(790\) | 24.7095 | + | 40.2684i | 0.0312778 | + | 0.0509727i | ||||
\(791\) | − | 1419.28i | − | 1.79429i | ||||||
\(792\) | 56.6667 | − | 4.56145i | 0.0715488 | − | 0.00575940i | ||||
\(793\) | −285.350 | −0.359836 | ||||||||
\(794\) | −163.753 | + | 100.482i | −0.206238 | + | 0.126552i | ||||
\(795\) | 274.892i | 0.345776i | ||||||||
\(796\) | −967.384 | − | 491.459i | −1.21531 | − | 0.617411i | ||||
\(797\) | 282.679 | 0.354679 | 0.177340 | − | 0.984150i | \(-0.443251\pi\) | ||||
0.177340 | + | 0.984150i | \(0.443251\pi\) | |||||||
\(798\) | 69.2246 | + | 112.814i | 0.0867476 | + | 0.141371i | ||||
\(799\) | 4.92124i | 0.00615925i | ||||||||
\(800\) | 148.002 | + | 60.7898i | 0.185003 | + | 0.0759872i | ||||
\(801\) | 18.5757 | 0.0231906 | ||||||||
\(802\) | −400.336 | + | 245.654i | −0.499172 | + | 0.306301i | ||||
\(803\) | 5.91344i | 0.00736419i | ||||||||
\(804\) | 60.0234 | − | 118.150i | 0.0746559 | − | 0.146952i | ||||
\(805\) | 296.821 | 0.368721 | ||||||||
\(806\) | −311.079 | − | 506.958i | −0.385954 | − | 0.628980i | ||||
\(807\) | 646.841i | 0.801538i | ||||||||
\(808\) | −11.0345 | − | 137.082i | −0.0136566 | − | 0.169655i | ||||
\(809\) | 1089.57 | 1.34681 | 0.673407 | − | 0.739272i | \(-0.264830\pi\) | ||||
0.673407 | + | 0.739272i | \(0.264830\pi\) | |||||||
\(810\) | −0.857338 | + | 0.526079i | −0.00105844 | + | 0.000649480i | ||||
\(811\) | 503.159i | 0.620418i | 0.950668 | + | 0.310209i | \(0.100399\pi\) | ||||
−0.950668 | + | 0.310209i | \(0.899601\pi\) | |||||||
\(812\) | −319.078 | − | 162.101i | −0.392953 | − | 0.199631i | ||||
\(813\) | 769.770 | 0.946827 | ||||||||
\(814\) | −28.7869 | − | 46.9133i | −0.0353647 | − | 0.0576331i | ||||
\(815\) | 333.365i | 0.409037i | ||||||||
\(816\) | −36.5439 | + | 26.6837i | −0.0447842 | + | 0.0327006i | ||||
\(817\) | −165.103 | −0.202084 | ||||||||
\(818\) | −696.893 | + | 427.627i | −0.851948 | + | 0.522771i | ||||
\(819\) | 631.259i | 0.770768i | ||||||||
\(820\) | 257.494 | − | 506.849i | 0.314017 | − | 0.618108i | ||||
\(821\) | 972.057 | 1.18399 | 0.591996 | − | 0.805941i | \(-0.298340\pi\) | ||||
0.591996 | + | 0.805941i | \(0.298340\pi\) | |||||||
\(822\) | −426.592 | − | 695.207i | −0.518968 | − | 0.845750i | ||||
\(823\) | − | 428.909i | − | 0.521153i | −0.965453 | − | 0.260577i | \(-0.916087\pi\) | ||
0.965453 | − | 0.260577i | \(-0.0839127\pi\) | |||||||
\(824\) | −1394.26 | + | 112.233i | −1.69207 | + | 0.136205i | ||||
\(825\) | 11.8869 | 0.0144084 | ||||||||
\(826\) | −1.81987 | + | 1.11670i | −0.00220323 | + | 0.00135194i | ||||
\(827\) | − | 638.697i | − | 0.772306i | −0.922435 | − | 0.386153i | \(-0.873804\pi\) | ||
0.922435 | − | 0.386153i | \(-0.126196\pi\) | |||||||
\(828\) | 321.429 | + | 163.295i | 0.388199 | + | 0.197216i | ||||
\(829\) | −651.021 | −0.785309 | −0.392654 | − | 0.919686i | \(-0.628443\pi\) | ||||
−0.392654 | + | 0.919686i | \(0.628443\pi\) | |||||||
\(830\) | 11.2406 | + | 18.3185i | 0.0135428 | + | 0.0220705i | ||||
\(831\) | − | 77.1784i | − | 0.0928741i | ||||||
\(832\) | −878.759 | + | 142.396i | −1.05620 | + | 0.171149i | ||||
\(833\) | 27.1628 | 0.0326084 | ||||||||
\(834\) | −215.684 | + | 132.348i | −0.258614 | + | 0.158691i | ||||
\(835\) | − | 713.312i | − | 0.854266i | ||||||
\(836\) | 10.1095 | − | 19.8994i | 0.0120927 | − | 0.0238031i | ||||
\(837\) | −577.766 | −0.690282 | ||||||||
\(838\) | 289.700 | + | 472.118i | 0.345704 | + | 0.563386i | ||||
\(839\) | − | 1498.62i | − | 1.78620i | −0.449857 | − | 0.893100i | \(-0.648525\pi\) | ||
0.449857 | − | 0.893100i | \(-0.351475\pi\) | |||||||
\(840\) | 21.7919 | + | 270.720i | 0.0259427 | + | 0.322285i | ||||
\(841\) | −721.224 | −0.857580 | ||||||||
\(842\) | 793.129 | − | 486.679i | 0.941958 | − | 0.578003i | ||||
\(843\) | 894.704i | 1.06133i | ||||||||
\(844\) | −703.304 | − | 357.299i | −0.833299 | − | 0.423340i | ||||
\(845\) | −54.7389 | −0.0647797 | ||||||||
\(846\) | 18.7647 | + | 30.5804i | 0.0221805 | + | 0.0361470i | ||||
\(847\) | 975.825i | 1.15210i | ||||||||
\(848\) | 624.589 | + | 855.389i | 0.736544 | + | 1.00871i | ||||
\(849\) | 355.182 | 0.418353 | ||||||||
\(850\) | 12.9795 | − | 7.96447i | 0.0152700 | − | 0.00936996i | ||||
\(851\) | − | 349.059i | − | 0.410176i | ||||||
\(852\) | −109.762 | + | 216.056i | −0.128829 | + | 0.253586i | ||||
\(853\) | 32.2748 | 0.0378368 | 0.0189184 | − | 0.999821i | \(-0.493978\pi\) | ||||
0.0189184 | + | 0.999821i | \(0.493978\pi\) | |||||||
\(854\) | 175.430 | + | 285.895i | 0.205422 | + | 0.334771i | ||||
\(855\) | − | 54.1057i | − | 0.0632815i | ||||||
\(856\) | 734.096 | − | 59.0918i | 0.857588 | − | 0.0690325i | ||||
\(857\) | 823.345 | 0.960729 | 0.480364 | − | 0.877069i | \(-0.340504\pi\) | ||||
0.480364 | + | 0.877069i | \(0.340504\pi\) | |||||||
\(858\) | −56.3707 | + | 34.5901i | −0.0657002 | + | 0.0403148i | ||||
\(859\) | 1404.35i | 1.63487i | 0.576022 | + | 0.817434i | \(0.304604\pi\) | ||||
−0.576022 | + | 0.817434i | \(0.695396\pi\) | |||||||
\(860\) | −302.042 | − | 153.446i | −0.351211 | − | 0.178425i | ||||
\(861\) | 965.022 | 1.12082 | ||||||||
\(862\) | −664.556 | − | 1083.01i | −0.770947 | − | 1.25639i | ||||
\(863\) | − | 437.443i | − | 0.506886i | −0.967350 | − | 0.253443i | \(-0.918437\pi\) | ||
0.967350 | − | 0.253443i | \(-0.0815630\pi\) | |||||||
\(864\) | −328.546 | + | 799.895i | −0.380261 | + | 0.925805i | ||||
\(865\) | −56.3718 | −0.0651697 | ||||||||
\(866\) | −586.725 | + | 360.026i | −0.677512 | + | 0.415734i | ||||
\(867\) | − | 532.400i | − | 0.614071i | ||||||
\(868\) | −316.678 | + | 623.346i | −0.364836 | + | 0.718140i | ||||
\(869\) | 13.5239 | 0.0155626 | ||||||||
\(870\) | −47.5383 | − | 77.4721i | −0.0546418 | − | 0.0890484i | ||||
\(871\) | − | 248.146i | − | 0.284898i | ||||||
\(872\) | 97.0660 | + | 1205.85i | 0.111314 | + | 1.38285i | ||||
\(873\) | 852.372 | 0.976371 | ||||||||
\(874\) | 120.646 | − | 74.0309i | 0.138039 | − | 0.0847036i | ||||
\(875\) | − | 91.4037i | − | 0.104461i | ||||||
\(876\) | −30.5931 | − | 15.5422i | −0.0349236 | − | 0.0177422i | ||||
\(877\) | 11.6381 | 0.0132704 | 0.00663520 | − | 0.999978i | \(-0.497888\pi\) | ||||
0.00663520 | + | 0.999978i | \(0.497888\pi\) | |||||||
\(878\) | 317.215 | + | 516.958i | 0.361293 | + | 0.588791i | ||||
\(879\) | − | 65.5306i | − | 0.0745513i | ||||||
\(880\) | 36.9888 | − | 27.0085i | 0.0420327 | − | 0.0306915i | ||||
\(881\) | 1598.37 | 1.81427 | 0.907135 | − | 0.420840i | \(-0.138265\pi\) | ||||
0.907135 | + | 0.420840i | \(0.138265\pi\) | |||||||
\(882\) | 168.788 | − | 103.572i | 0.191370 | − | 0.117428i | ||||
\(883\) | − | 1649.44i | − | 1.86800i | −0.357279 | − | 0.933998i | \(-0.616295\pi\) | ||
0.357279 | − | 0.933998i | \(-0.383705\pi\) | |||||||
\(884\) | −38.3761 | + | 75.5392i | −0.0434119 | + | 0.0854516i | ||||
\(885\) | −0.542272 | −0.000612737 | ||||||||
\(886\) | −871.487 | − | 1420.24i | −0.983620 | − | 1.60298i | ||||
\(887\) | 478.051i | 0.538953i | 0.963007 | + | 0.269476i | \(0.0868506\pi\) | ||||
−0.963007 | + | 0.269476i | \(0.913149\pi\) | |||||||
\(888\) | 318.365 | − | 25.6272i | 0.358519 | − | 0.0288594i | ||||
\(889\) | 498.698 | 0.560965 | ||||||||
\(890\) | 12.7552 | − | 7.82681i | 0.0143317 | − | 0.00879417i | ||||
\(891\) | 0.287932i | 0.000323155i | ||||||||
\(892\) | 1083.40 | + | 550.397i | 1.21457 | + | 0.617037i | ||||
\(893\) | 14.0864 | 0.0157743 | ||||||||
\(894\) | 83.8764 | + | 136.691i | 0.0938215 | + | 0.152899i | ||||
\(895\) | − | 349.554i | − | 0.390563i | ||||||
\(896\) | 682.920 | + | 792.893i | 0.762187 | + | 0.884925i | ||||
\(897\) | −419.428 | −0.467590 | ||||||||
\(898\) | 528.560 | − | 324.335i | 0.588597 | − | 0.361174i | ||||
\(899\) | − | 233.992i | − | 0.260280i | ||||||
\(900\) | 50.2855 | − | 98.9816i | 0.0558728 | − | 0.109980i | ||||
\(901\) | 100.807 | 0.111883 | ||||||||
\(902\) | −85.1109 | − | 138.703i | −0.0943580 | − | 0.153773i | ||||
\(903\) | − | 575.077i | − | 0.636851i | ||||||
\(904\) | −111.435 | − | 1384.36i | −0.123269 | − | 1.53137i | ||||
\(905\) | −33.6286 | −0.0371587 | ||||||||
\(906\) | 753.005 | − | 462.058i | 0.831132 | − | 0.509998i | ||||
\(907\) | − | 965.553i | − | 1.06456i | −0.846569 | − | 0.532278i | \(-0.821336\pi\) | ||
0.846569 | − | 0.532278i | \(-0.178664\pi\) | |||||||
\(908\) | −959.610 | − | 487.510i | −1.05684 | − | 0.536905i | ||||
\(909\) | −95.4273 | −0.104981 | ||||||||
\(910\) | 265.979 | + | 433.460i | 0.292285 | + | 0.476330i | ||||
\(911\) | 989.556i | 1.08623i | 0.839658 | + | 0.543115i | \(0.182755\pi\) | ||||
−0.839658 | + | 0.543115i | \(0.817245\pi\) | |||||||
\(912\) | 76.3786 | + | 104.602i | 0.0837485 | + | 0.114695i | ||||
\(913\) | 6.15214 | 0.00673838 | ||||||||
\(914\) | 477.167 | − | 292.798i | 0.522064 | − | 0.320348i | ||||
\(915\) | 85.1890i | 0.0931028i | ||||||||
\(916\) | 398.679 | − | 784.756i | 0.435239 | − | 0.856720i | ||||
\(917\) | 631.140 | 0.688266 | ||||||||
\(918\) | 43.0449 | + | 70.1493i | 0.0468899 | + | 0.0764154i | ||||
\(919\) | 674.501i | 0.733951i | 0.930231 | + | 0.366975i | \(0.119607\pi\) | ||||
−0.930231 | + | 0.366975i | \(0.880393\pi\) | |||||||
\(920\) | 289.516 | − | 23.3049i | 0.314692 | − | 0.0253314i | ||||
\(921\) | 207.193 | 0.224966 | ||||||||
\(922\) | 71.9875 | − | 44.1729i | 0.0780775 | − | 0.0479098i | ||||
\(923\) | 453.776i | 0.491631i | ||||||||
\(924\) | 69.3123 | + | 35.2127i | 0.0750133 | + | 0.0381090i | ||||
\(925\) | −107.490 | −0.116206 | ||||||||
\(926\) | −746.879 | − | 1217.17i | −0.806565 | − | 1.31444i | ||||
\(927\) | 970.596i | 1.04703i | ||||||||
\(928\) | −323.953 | − | 133.059i | −0.349087 | − | 0.143383i | ||||
\(929\) | 35.2397 | 0.0379329 | 0.0189665 | − | 0.999820i | \(-0.493962\pi\) | ||||
0.0189665 | + | 0.999820i | \(0.493962\pi\) | |||||||
\(930\) | −151.348 | + | 92.8702i | −0.162740 | + | 0.0998605i | ||||
\(931\) | − | 77.7500i | − | 0.0835123i | ||||||
\(932\) | −640.463 | + | 1260.68i | −0.687193 | + | 1.35266i | ||||
\(933\) | 590.001 | 0.632370 | ||||||||
\(934\) | −138.472 | − | 225.665i | −0.148257 | − | 0.241611i | ||||
\(935\) | − | 4.35908i | − | 0.00466212i | ||||||
\(936\) | 49.5634 | + | 615.724i | 0.0529524 | + | 0.657825i | ||||
\(937\) | 29.5346 | 0.0315204 | 0.0157602 | − | 0.999876i | \(-0.494983\pi\) | ||||
0.0157602 | + | 0.999876i | \(0.494983\pi\) | |||||||
\(938\) | −248.620 | + | 152.558i | −0.265053 | + | 0.162642i | ||||
\(939\) | − | 127.835i | − | 0.136139i | ||||||
\(940\) | 25.7699 | + | 13.0919i | 0.0274148 | + | 0.0139275i | ||||
\(941\) | 140.568 | 0.149381 | 0.0746907 | − | 0.997207i | \(-0.476203\pi\) | ||||
0.0746907 | + | 0.997207i | \(0.476203\pi\) | |||||||
\(942\) | −435.475 | − | 709.683i | −0.462287 | − | 0.753379i | ||||
\(943\) | − | 1032.02i | − | 1.09441i | ||||||
\(944\) | −1.68740 | + | 1.23211i | −0.00178750 | + | 0.00130520i | ||||
\(945\) | 494.002 | 0.522754 | ||||||||
\(946\) | −82.6561 | + | 50.7194i | −0.0873744 | + | 0.0536145i | ||||
\(947\) | − | 1284.98i | − | 1.35689i | −0.734650 | − | 0.678447i | \(-0.762653\pi\) | ||
0.734650 | − | 0.678447i | \(-0.237347\pi\) | |||||||
\(948\) | −35.5445 | + | 69.9656i | −0.0374942 | + | 0.0738034i | ||||
\(949\) | −64.2538 | −0.0677069 | ||||||||
\(950\) | −22.7973 | − | 37.1522i | −0.0239971 | − | 0.0391076i | ||||
\(951\) | − | 289.782i | − | 0.304713i | ||||||
\(952\) | 99.2766 | − | 7.99138i | 0.104282 | − | 0.00839431i | ||||
\(953\) | 125.098 | 0.131268 | 0.0656339 | − | 0.997844i | \(-0.479093\pi\) | ||||
0.0656339 | + | 0.997844i | \(0.479093\pi\) | |||||||
\(954\) | 626.407 | − | 384.375i | 0.656611 | − | 0.402909i | ||||
\(955\) | − | 224.589i | − | 0.235172i | ||||||
\(956\) | −1076.75 | − | 547.021i | −1.12631 | − | 0.572198i | ||||
\(957\) | −26.0185 | −0.0271876 | ||||||||
\(958\) | −346.378 | − | 564.483i | −0.361563 | − | 0.589231i | ||||
\(959\) | 1795.34i | 1.87209i | ||||||||
\(960\) | 42.5112 | + | 262.347i | 0.0442825 | + | 0.273278i | ||||
\(961\) | 503.877 | 0.524325 | ||||||||
\(962\) | 509.747 | − | 312.790i | 0.529882 | − | 0.325146i | ||||
\(963\) | − | 511.030i | − | 0.530664i | ||||||
\(964\) | −171.772 | + | 338.114i | −0.178187 | + | 0.350741i | ||||
\(965\) | 134.696 | 0.139582 | ||||||||
\(966\) | 257.860 | + | 420.228i | 0.266936 | + | 0.435019i | ||||
\(967\) | 244.082i | 0.252411i | 0.992004 | + | 0.126206i | \(0.0402799\pi\) | ||||
−0.992004 | + | 0.126206i | \(0.959720\pi\) | |||||||
\(968\) | 76.6171 | + | 951.811i | 0.0791499 | + | 0.983276i | ||||
\(969\) | 12.3273 | 0.0127216 | ||||||||
\(970\) | 585.289 | − | 359.144i | 0.603391 | − | 0.370252i | ||||
\(971\) | − | 504.688i | − | 0.519761i | −0.965641 | − | 0.259880i | \(-0.916317\pi\) | ||
0.965641 | − | 0.259880i | \(-0.0836832\pi\) | |||||||
\(972\) | 865.834 | + | 439.869i | 0.890776 | + | 0.452540i | ||||
\(973\) | 556.995 | 0.572451 | ||||||||
\(974\) | −806.375 | − | 1314.13i | −0.827900 | − | 1.34921i | ||||
\(975\) | 129.160i | 0.132471i | ||||||||
\(976\) | 193.560 | + | 265.085i | 0.198320 | + | 0.271604i | ||||
\(977\) | 1537.91 | 1.57411 | 0.787057 | − | 0.616880i | \(-0.211604\pi\) | ||||
0.787057 | + | 0.616880i | \(0.211604\pi\) | |||||||
\(978\) | −471.966 | + | 289.607i | −0.482583 | + | 0.296122i | ||||
\(979\) | − | 4.28374i | − | 0.00437563i | ||||||
\(980\) | 72.2604 | − | 142.237i | 0.0737351 | − | 0.145140i | ||||
\(981\) | 839.432 | 0.855691 | ||||||||
\(982\) | 660.762 | + | 1076.83i | 0.672874 | + | 1.09657i | ||||
\(983\) | − | 1179.80i | − | 1.20021i | −0.799923 | − | 0.600103i | \(-0.795126\pi\) | ||
0.799923 | − | 0.600103i | \(-0.204874\pi\) | |||||||
\(984\) | 941.274 | − | 75.7689i | 0.956579 | − | 0.0770009i | ||||
\(985\) | −705.160 | −0.715898 | ||||||||
\(986\) | −28.4101 | + | 17.4329i | −0.0288135 | + | 0.0176805i | ||||
\(987\) | 49.0650i | 0.0497112i | ||||||||
\(988\) | 216.221 | + | 109.847i | 0.218847 | + | 0.111181i | ||||
\(989\) | −615.005 | −0.621845 | ||||||||
\(990\) | −16.6212 | − | 27.0871i | −0.0167891 | − | 0.0273607i | ||||
\(991\) | − | 250.163i | − | 0.252435i | −0.992003 | − | 0.126218i | \(-0.959716\pi\) | ||
0.992003 | − | 0.126218i | \(-0.0402838\pi\) | |||||||
\(992\) | −259.942 | + | 632.870i | −0.262039 | + | 0.637974i | ||||
\(993\) | −237.391 | −0.239064 | ||||||||
\(994\) | 454.642 | − | 278.977i | 0.457386 | − | 0.280661i | ||||
\(995\) | 606.569i | 0.609617i | ||||||||
\(996\) | −16.1695 | + | 31.8280i | −0.0162345 | + | 0.0319558i | ||||
\(997\) | 947.164 | 0.950014 | 0.475007 | − | 0.879982i | \(-0.342446\pi\) | ||||
0.475007 | + | 0.879982i | \(0.342446\pi\) | |||||||
\(998\) | 765.627 | + | 1247.72i | 0.767161 | + | 1.25022i | ||||
\(999\) | − | 580.944i | − | 0.581526i |
(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 | 380.3.b.a.191.12 | yes | 72 | |
4.3 | odd | 2 | inner | 380.3.b.a.191.11 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.3.b.a.191.11 | ✓ | 72 | 4.3 | odd | 2 | inner | |
380.3.b.a.191.12 | yes | 72 | 1.1 | even | 1 | trivial |