Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,4,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.53708213025\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 10.4 | ||
Character | \(\chi\) | \(=\) | 43.10 |
Dual form | 43.4.g.a.13.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.582989 | − | 2.55424i | −0.206118 | − | 0.903061i | −0.967122 | − | 0.254314i | \(-0.918150\pi\) |
0.761004 | − | 0.648747i | \(-0.224707\pi\) | |||||||
\(3\) | −4.15286 | − | 3.85329i | −0.799219 | − | 0.741567i | 0.170614 | − | 0.985338i | \(-0.445425\pi\) |
−0.969833 | + | 0.243771i | \(0.921615\pi\) | |||||||
\(4\) | 1.02347 | − | 0.492879i | 0.127934 | − | 0.0616099i | ||||
\(5\) | −13.6446 | + | 2.05660i | −1.22041 | + | 0.183947i | −0.727485 | − | 0.686123i | \(-0.759311\pi\) |
−0.492927 | + | 0.870071i | \(0.664073\pi\) | |||||||
\(6\) | −7.42117 | + | 12.8538i | −0.504947 | + | 0.874594i | ||||
\(7\) | 9.34797 | + | 16.1912i | 0.504743 | + | 0.874240i | 0.999985 | + | 0.00548536i | \(0.00174605\pi\) |
−0.495242 | + | 0.868755i | \(0.664921\pi\) | |||||||
\(8\) | −14.9236 | − | 18.7136i | −0.659536 | − | 0.827032i | ||||
\(9\) | 0.380687 | + | 5.07991i | 0.0140995 | + | 0.188145i | ||||
\(10\) | 13.2077 | + | 33.6527i | 0.417664 | + | 1.06419i | ||||
\(11\) | −41.3369 | − | 19.9068i | −1.13305 | − | 0.545647i | −0.229148 | − | 0.973391i | \(-0.573594\pi\) |
−0.903900 | + | 0.427744i | \(0.859308\pi\) | |||||||
\(12\) | −6.14956 | − | 1.89689i | −0.147935 | − | 0.0456320i | ||||
\(13\) | 13.3353 | − | 33.9779i | 0.284504 | − | 0.724905i | −0.715159 | − | 0.698962i | \(-0.753646\pi\) |
0.999663 | − | 0.0259433i | \(-0.00825895\pi\) | |||||||
\(14\) | 35.9064 | − | 33.3162i | 0.685456 | − | 0.636010i | ||||
\(15\) | 64.5889 | + | 44.0360i | 1.11179 | + | 0.758003i | ||||
\(16\) | −33.4326 | + | 41.9232i | −0.522385 | + | 0.655050i | ||||
\(17\) | 62.1043 | + | 9.36072i | 0.886030 | + | 0.133547i | 0.576262 | − | 0.817265i | \(-0.304511\pi\) |
0.309768 | + | 0.950812i | \(0.399749\pi\) | |||||||
\(18\) | 12.7534 | − | 3.93390i | 0.167000 | − | 0.0515127i | ||||
\(19\) | 11.9608 | − | 159.606i | 0.144421 | − | 1.92716i | −0.184556 | − | 0.982822i | \(-0.559085\pi\) |
0.328977 | − | 0.944338i | \(-0.393296\pi\) | |||||||
\(20\) | −12.9513 | + | 8.83002i | −0.144800 | + | 0.0987227i | ||||
\(21\) | 23.5685 | − | 103.260i | 0.244908 | − | 1.07301i | ||||
\(22\) | −26.7478 | + | 117.190i | −0.259211 | + | 1.13568i | ||||
\(23\) | 30.1976 | − | 20.5884i | 0.273767 | − | 0.186651i | −0.418652 | − | 0.908147i | \(-0.637497\pi\) |
0.692419 | + | 0.721496i | \(0.256545\pi\) | |||||||
\(24\) | −10.1333 | + | 135.220i | −0.0861858 | + | 1.15007i | ||||
\(25\) | 62.4994 | − | 19.2785i | 0.499995 | − | 0.154228i | ||||
\(26\) | −94.5620 | − | 14.2529i | −0.713275 | − | 0.107509i | ||||
\(27\) | −77.3753 | + | 97.0255i | −0.551514 | + | 0.691577i | ||||
\(28\) | 17.5477 | + | 11.9638i | 0.118436 | + | 0.0807482i | ||||
\(29\) | −0.0346418 | + | 0.0321429i | −0.000221821 | + | 0.000205820i | −0.680284 | − | 0.732949i | \(-0.738143\pi\) |
0.680062 | + | 0.733155i | \(0.261953\pi\) | |||||||
\(30\) | 74.8239 | − | 190.648i | 0.455364 | − | 1.16025i | ||||
\(31\) | 142.348 | + | 43.9085i | 0.824724 | + | 0.254394i | 0.678260 | − | 0.734822i | \(-0.262734\pi\) |
0.146464 | + | 0.989216i | \(0.453211\pi\) | |||||||
\(32\) | −45.9489 | − | 22.1278i | −0.253834 | − | 0.122240i | ||||
\(33\) | 94.9596 | + | 241.953i | 0.500920 | + | 1.27632i | ||||
\(34\) | −12.2966 | − | 164.087i | −0.0620249 | − | 0.827665i | ||||
\(35\) | −160.848 | − | 201.697i | −0.776808 | − | 0.974087i | ||||
\(36\) | 2.89341 | + | 5.01153i | 0.0133954 | + | 0.0232015i | ||||
\(37\) | −157.839 | + | 273.385i | −0.701312 | + | 1.21471i | 0.266694 | + | 0.963781i | \(0.414069\pi\) |
−0.968006 | + | 0.250927i | \(0.919265\pi\) | |||||||
\(38\) | −414.644 | + | 62.4976i | −1.77011 | + | 0.266801i | ||||
\(39\) | −186.307 | + | 89.7205i | −0.764947 | + | 0.368379i | ||||
\(40\) | 242.113 | + | 224.648i | 0.957036 | + | 0.888000i | ||||
\(41\) | −3.55430 | − | 15.5724i | −0.0135388 | − | 0.0593172i | 0.967707 | − | 0.252077i | \(-0.0811135\pi\) |
−0.981246 | + | 0.192759i | \(0.938256\pi\) | |||||||
\(42\) | −277.492 | −1.01947 | ||||||||
\(43\) | 16.1534 | − | 281.507i | 0.0572876 | − | 0.998358i | ||||
\(44\) | −52.1189 | −0.178573 | ||||||||
\(45\) | −15.6417 | − | 68.5306i | −0.0518160 | − | 0.227021i | ||||
\(46\) | −70.1926 | − | 65.1292i | −0.224986 | − | 0.208756i | ||||
\(47\) | 359.524 | − | 173.138i | 1.11579 | − | 0.537335i | 0.217199 | − | 0.976127i | \(-0.430308\pi\) |
0.898589 | + | 0.438792i | \(0.144594\pi\) | |||||||
\(48\) | 300.384 | − | 45.2756i | 0.903264 | − | 0.136145i | ||||
\(49\) | −3.26909 | + | 5.66222i | −0.00953086 | + | 0.0165079i | ||||
\(50\) | −85.6784 | − | 148.399i | −0.242335 | − | 0.419737i | ||||
\(51\) | −221.841 | − | 278.180i | −0.609097 | − | 0.763784i | ||||
\(52\) | −3.09862 | − | 41.3482i | −0.00826348 | − | 0.110269i | ||||
\(53\) | 140.095 | + | 356.955i | 0.363085 | + | 0.925125i | 0.989355 | + | 0.145519i | \(0.0464852\pi\) |
−0.626271 | + | 0.779606i | \(0.715420\pi\) | |||||||
\(54\) | 292.936 | + | 141.070i | 0.738213 | + | 0.355505i | ||||
\(55\) | 604.966 | + | 186.607i | 1.48316 | + | 0.457493i | ||||
\(56\) | 163.490 | − | 416.565i | 0.390129 | − | 0.994032i | ||||
\(57\) | −664.679 | + | 616.732i | −1.54454 | + | 1.43313i | ||||
\(58\) | 0.102296 | + | 0.0697445i | 0.000231589 | + | 0.000157895i | ||||
\(59\) | 326.190 | − | 409.029i | 0.719767 | − | 0.902560i | −0.278557 | − | 0.960420i | \(-0.589856\pi\) |
0.998325 | + | 0.0578600i | \(0.0184277\pi\) | |||||||
\(60\) | 87.8095 | + | 13.2352i | 0.188936 | + | 0.0284775i | ||||
\(61\) | 315.527 | − | 97.3271i | 0.662280 | − | 0.204286i | 0.0546487 | − | 0.998506i | \(-0.482596\pi\) |
0.607631 | + | 0.794219i | \(0.292120\pi\) | |||||||
\(62\) | 29.1657 | − | 389.189i | 0.0597427 | − | 0.797211i | ||||
\(63\) | −78.6910 | + | 53.6506i | −0.157367 | + | 0.107291i | ||||
\(64\) | −125.188 | + | 548.484i | −0.244508 | + | 1.07126i | ||||
\(65\) | −112.077 | + | 491.040i | −0.213868 | + | 0.937016i | ||||
\(66\) | 562.647 | − | 383.606i | 1.04935 | − | 0.715434i | ||||
\(67\) | −13.4238 | + | 179.128i | −0.0244773 | + | 0.326626i | 0.971501 | + | 0.237034i | \(0.0761754\pi\) |
−0.995979 | + | 0.0895921i | \(0.971444\pi\) | |||||||
\(68\) | 68.1759 | − | 21.0295i | 0.121581 | − | 0.0375029i | ||||
\(69\) | −204.740 | − | 30.8595i | −0.357214 | − | 0.0538413i | ||||
\(70\) | −421.411 | + | 528.432i | −0.719546 | + | 0.902282i | ||||
\(71\) | −343.160 | − | 233.962i | −0.573600 | − | 0.391074i | 0.241494 | − | 0.970402i | \(-0.422362\pi\) |
−0.815094 | + | 0.579328i | \(0.803315\pi\) | |||||||
\(72\) | 89.3823 | − | 82.9346i | 0.146303 | − | 0.135749i | ||||
\(73\) | −312.093 | + | 795.200i | −0.500380 | + | 1.27495i | 0.428157 | + | 0.903705i | \(0.359163\pi\) |
−0.928536 | + | 0.371242i | \(0.878932\pi\) | |||||||
\(74\) | 790.310 | + | 243.778i | 1.24151 | + | 0.382955i | ||||
\(75\) | −333.837 | − | 160.768i | −0.513976 | − | 0.247518i | ||||
\(76\) | −66.4248 | − | 169.248i | −0.100256 | − | 0.255448i | ||||
\(77\) | −64.1018 | − | 855.380i | −0.0948712 | − | 1.26597i | ||||
\(78\) | 337.783 | + | 423.566i | 0.490338 | + | 0.614864i | ||||
\(79\) | −527.961 | − | 914.456i | −0.751902 | − | 1.30233i | −0.946900 | − | 0.321529i | \(-0.895803\pi\) |
0.194998 | − | 0.980804i | \(-0.437530\pi\) | |||||||
\(80\) | 369.957 | − | 640.784i | 0.517030 | − | 0.895522i | ||||
\(81\) | 831.203 | − | 125.284i | 1.14020 | − | 0.171857i | ||||
\(82\) | −37.7036 | + | 18.1571i | −0.0507764 | + | 0.0244526i | ||||
\(83\) | 43.9650 | + | 40.7936i | 0.0581420 | + | 0.0539479i | 0.708709 | − | 0.705501i | \(-0.249278\pi\) |
−0.650567 | + | 0.759449i | \(0.725469\pi\) | |||||||
\(84\) | −26.7731 | − | 117.301i | −0.0347760 | − | 0.152364i | ||||
\(85\) | −866.641 | −1.10589 | ||||||||
\(86\) | −728.454 | + | 122.856i | −0.913386 | + | 0.154045i | ||||
\(87\) | 0.267719 | 0.000329913 | ||||||||
\(88\) | 244.367 | + | 1070.64i | 0.296018 | + | 1.29694i | ||||
\(89\) | −1006.40 | − | 933.801i | −1.19863 | − | 1.11216i | −0.990987 | − | 0.133960i | \(-0.957231\pi\) |
−0.207642 | − | 0.978205i | \(-0.566579\pi\) | |||||||
\(90\) | −165.925 | + | 79.9051i | −0.194333 | + | 0.0935860i | ||||
\(91\) | 674.799 | − | 101.710i | 0.777343 | − | 0.117166i | ||||
\(92\) | 20.7589 | − | 35.9555i | 0.0235246 | − | 0.0407458i | ||||
\(93\) | −421.959 | − | 730.855i | −0.470485 | − | 0.814904i | ||||
\(94\) | −651.835 | − | 817.375i | −0.715230 | − | 0.896870i | ||||
\(95\) | 165.044 | + | 2202.36i | 0.178244 | + | 2.37849i | ||||
\(96\) | 105.555 | + | 268.949i | 0.112220 | + | 0.285932i | ||||
\(97\) | −712.425 | − | 343.086i | −0.745730 | − | 0.359125i | 0.0221191 | − | 0.999755i | \(-0.492959\pi\) |
−0.767849 | + | 0.640631i | \(0.778673\pi\) | |||||||
\(98\) | 16.3685 | + | 5.04902i | 0.0168722 | + | 0.00520437i | ||||
\(99\) | 85.3883 | − | 217.566i | 0.0866854 | − | 0.220871i | ||||
\(100\) | 54.4646 | − | 50.5357i | 0.0544646 | − | 0.0505357i | ||||
\(101\) | 479.849 | + | 327.155i | 0.472740 | + | 0.322309i | 0.776147 | − | 0.630553i | \(-0.217172\pi\) |
−0.303407 | + | 0.952861i | \(0.598124\pi\) | |||||||
\(102\) | −581.208 | + | 728.812i | −0.564198 | + | 0.707482i | ||||
\(103\) | 398.973 | + | 60.1355i | 0.381670 | + | 0.0575275i | 0.337075 | − | 0.941478i | \(-0.390562\pi\) |
0.0445945 | + | 0.999005i | \(0.485800\pi\) | |||||||
\(104\) | −834.859 | + | 257.520i | −0.787161 | + | 0.242807i | ||||
\(105\) | −109.218 | + | 1457.42i | −0.101511 | + | 1.35456i | ||||
\(106\) | 830.077 | − | 565.937i | 0.760606 | − | 0.518572i | ||||
\(107\) | −255.322 | + | 1118.64i | −0.230682 | + | 1.01068i | 0.718395 | + | 0.695636i | \(0.244877\pi\) |
−0.949076 | + | 0.315046i | \(0.897980\pi\) | |||||||
\(108\) | −31.3698 | + | 137.440i | −0.0279496 | + | 0.122455i | ||||
\(109\) | −158.547 | + | 108.096i | −0.139322 | + | 0.0949880i | −0.630975 | − | 0.775803i | \(-0.717345\pi\) |
0.491653 | + | 0.870791i | \(0.336393\pi\) | |||||||
\(110\) | 123.952 | − | 1654.02i | 0.107439 | − | 1.43368i | ||||
\(111\) | 1708.92 | − | 527.131i | 1.46129 | − | 0.450748i | ||||
\(112\) | −991.313 | − | 149.416i | −0.836342 | − | 0.126058i | ||||
\(113\) | 384.321 | − | 481.924i | 0.319946 | − | 0.401200i | −0.595686 | − | 0.803218i | \(-0.703120\pi\) |
0.915632 | + | 0.402018i | \(0.131691\pi\) | |||||||
\(114\) | 1962.78 | + | 1338.20i | 1.61256 | + | 1.09942i | ||||
\(115\) | −369.693 | + | 343.025i | −0.299774 | + | 0.278150i | ||||
\(116\) | −0.0196124 | + | 0.0499716i | −1.56980e−5 | + | 3.99978e-5i | ||||
\(117\) | 177.681 | + | 54.8074i | 0.140399 | + | 0.0433072i | ||||
\(118\) | −1234.92 | − | 594.708i | −0.963423 | − | 0.463960i | ||||
\(119\) | 428.988 | + | 1093.04i | 0.330465 | + | 0.842010i | ||||
\(120\) | −139.827 | − | 1865.87i | −0.106370 | − | 1.41941i | ||||
\(121\) | 482.591 | + | 605.150i | 0.362578 | + | 0.454658i | ||||
\(122\) | −432.546 | − | 749.191i | −0.320991 | − | 0.555972i | ||||
\(123\) | −45.2446 | + | 78.3659i | −0.0331672 | + | 0.0574473i | ||||
\(124\) | 167.331 | − | 25.2211i | 0.121184 | − | 0.0182655i | ||||
\(125\) | 740.897 | − | 356.797i | 0.530143 | − | 0.255303i | ||||
\(126\) | 182.913 | + | 169.718i | 0.129327 | + | 0.119998i | ||||
\(127\) | −402.538 | − | 1763.63i | −0.281255 | − | 1.23226i | −0.896186 | − | 0.443679i | \(-0.853673\pi\) |
0.614930 | − | 0.788581i | \(-0.289184\pi\) | |||||||
\(128\) | 1065.95 | 0.736074 | ||||||||
\(129\) | −1151.81 | + | 1106.82i | −0.786134 | + | 0.755424i | ||||
\(130\) | 1319.58 | 0.890265 | ||||||||
\(131\) | −576.714 | − | 2526.75i | −0.384639 | − | 1.68521i | −0.682726 | − | 0.730675i | \(-0.739206\pi\) |
0.298087 | − | 0.954539i | \(-0.403652\pi\) | |||||||
\(132\) | 216.443 | + | 200.829i | 0.142719 | + | 0.132424i | ||||
\(133\) | 2696.01 | − | 1298.33i | 1.75770 | − | 0.846462i | ||||
\(134\) | 465.362 | − | 70.1421i | 0.300009 | − | 0.0452191i | ||||
\(135\) | 856.214 | − | 1483.01i | 0.545860 | − | 0.945458i | ||||
\(136\) | −751.647 | − | 1301.89i | −0.473921 | − | 0.820855i | ||||
\(137\) | 1614.92 | + | 2025.04i | 1.00709 | + | 1.26285i | 0.964589 | + | 0.263758i | \(0.0849621\pi\) |
0.0425040 | + | 0.999096i | \(0.486466\pi\) | |||||||
\(138\) | 40.5383 | + | 540.946i | 0.0250061 | + | 0.333684i | ||||
\(139\) | 341.325 | + | 869.682i | 0.208279 | + | 0.530687i | 0.996395 | − | 0.0848408i | \(-0.0270382\pi\) |
−0.788115 | + | 0.615528i | \(0.788943\pi\) | |||||||
\(140\) | −264.036 | − | 127.153i | −0.159394 | − | 0.0767601i | ||||
\(141\) | −2160.21 | − | 666.336i | −1.29023 | − | 0.397983i | ||||
\(142\) | −397.538 | + | 1012.91i | −0.234934 | + | 0.598603i | ||||
\(143\) | −1227.63 | + | 1139.07i | −0.717899 | + | 0.666113i | ||||
\(144\) | −225.694 | − | 153.875i | −0.130610 | − | 0.0890482i | ||||
\(145\) | 0.406569 | − | 0.509821i | 0.000232853 | − | 0.000291989i | ||||
\(146\) | 2213.08 | + | 333.568i | 1.25449 | + | 0.189084i | ||||
\(147\) | 35.3943 | − | 10.9177i | 0.0198590 | − | 0.00612568i | ||||
\(148\) | −26.7983 | + | 357.598i | −0.0148838 | + | 0.198611i | ||||
\(149\) | −1833.40 | + | 1249.99i | −1.00804 | + | 0.687269i | −0.950388 | − | 0.311068i | \(-0.899313\pi\) |
−0.0576507 | + | 0.998337i | \(0.518361\pi\) | |||||||
\(150\) | −216.016 | + | 946.427i | −0.117584 | + | 0.515170i | ||||
\(151\) | −101.627 | + | 445.256i | −0.0547700 | + | 0.239963i | −0.994902 | − | 0.100848i | \(-0.967844\pi\) |
0.940132 | + | 0.340811i | \(0.110702\pi\) | |||||||
\(152\) | −3165.29 | + | 2158.06i | −1.68907 | + | 1.15159i | ||||
\(153\) | −23.9093 | + | 319.048i | −0.0126337 | + | 0.168585i | ||||
\(154\) | −2147.48 | + | 662.409i | −1.12369 | + | 0.346613i | ||||
\(155\) | −2032.59 | − | 306.363i | −1.05330 | − | 0.158759i | ||||
\(156\) | −146.459 | + | 183.653i | −0.0751672 | + | 0.0942566i | ||||
\(157\) | 2298.66 | + | 1567.20i | 1.16849 | + | 0.796664i | 0.982569 | − | 0.185900i | \(-0.0595201\pi\) |
0.185923 | + | 0.982564i | \(0.440472\pi\) | |||||||
\(158\) | −2027.95 | + | 1881.66i | −1.02111 | + | 0.947447i | ||||
\(159\) | 793.660 | − | 2022.21i | 0.395858 | − | 1.00863i | ||||
\(160\) | 672.464 | + | 207.428i | 0.332268 | + | 0.102491i | ||||
\(161\) | 615.636 | + | 296.475i | 0.301360 | + | 0.145127i | ||||
\(162\) | −804.587 | − | 2050.05i | −0.390212 | − | 0.994244i | ||||
\(163\) | −267.627 | − | 3571.24i | −0.128602 | − | 1.71608i | −0.572419 | − | 0.819961i | \(-0.693995\pi\) |
0.443817 | − | 0.896118i | \(-0.353624\pi\) | |||||||
\(164\) | −11.3131 | − | 14.1861i | −0.00538660 | − | 0.00675458i | ||||
\(165\) | −1793.29 | − | 3106.07i | −0.846105 | − | 1.46550i | ||||
\(166\) | 78.5655 | − | 136.079i | 0.0367341 | − | 0.0636254i | ||||
\(167\) | 3309.70 | − | 498.857i | 1.53361 | − | 0.231154i | 0.672699 | − | 0.739916i | \(-0.265135\pi\) |
0.860907 | + | 0.508763i | \(0.169897\pi\) | |||||||
\(168\) | −2284.10 | + | 1099.96i | −1.04894 | + | 0.505143i | ||||
\(169\) | 633.851 | + | 588.127i | 0.288507 | + | 0.267696i | ||||
\(170\) | 505.242 | + | 2213.61i | 0.227943 | + | 0.998683i | ||||
\(171\) | 815.336 | 0.364622 | ||||||||
\(172\) | −122.216 | − | 296.077i | −0.0541797 | − | 0.131254i | ||||
\(173\) | 1818.98 | 0.799390 | 0.399695 | − | 0.916648i | \(-0.369116\pi\) | ||||
0.399695 | + | 0.916648i | \(0.369116\pi\) | |||||||
\(174\) | −0.156077 | − | 0.683818i | −6.80009e−5 | − | 0.000297932i | ||||
\(175\) | 896.384 | + | 831.723i | 0.387201 | + | 0.359270i | ||||
\(176\) | 2216.56 | − | 1067.44i | 0.949314 | − | 0.457165i | ||||
\(177\) | −2930.73 | + | 441.736i | −1.24456 | + | 0.187587i | ||||
\(178\) | −1798.43 | + | 3114.98i | −0.757294 | + | 1.31167i | ||||
\(179\) | 655.446 | + | 1135.27i | 0.273689 | + | 0.474044i | 0.969804 | − | 0.243887i | \(-0.0784227\pi\) |
−0.696114 | + | 0.717931i | \(0.745089\pi\) | |||||||
\(180\) | −49.7861 | − | 62.4298i | −0.0206158 | − | 0.0258514i | ||||
\(181\) | 63.1899 | + | 843.210i | 0.0259495 | + | 0.346273i | 0.995033 | + | 0.0995412i | \(0.0317375\pi\) |
−0.969084 | + | 0.246731i | \(0.920643\pi\) | |||||||
\(182\) | −653.192 | − | 1664.31i | −0.266032 | − | 0.677838i | ||||
\(183\) | −1685.37 | − | 811.631i | −0.680799 | − | 0.327855i | ||||
\(184\) | −835.940 | − | 257.853i | −0.334926 | − | 0.103311i | ||||
\(185\) | 1591.41 | − | 4054.84i | 0.632447 | − | 1.61145i | ||||
\(186\) | −1620.78 | + | 1503.87i | −0.638933 | + | 0.592843i | ||||
\(187\) | −2380.85 | − | 1623.24i | −0.931045 | − | 0.634775i | ||||
\(188\) | 282.628 | − | 354.404i | 0.109642 | − | 0.137487i | ||||
\(189\) | −2294.26 | − | 345.804i | −0.882977 | − | 0.133087i | ||||
\(190\) | 5529.13 | − | 1705.51i | 2.11119 | − | 0.651215i | ||||
\(191\) | −235.496 | + | 3142.47i | −0.0892140 | + | 1.19048i | 0.755459 | + | 0.655196i | \(0.227414\pi\) |
−0.844673 | + | 0.535282i | \(0.820205\pi\) | |||||||
\(192\) | 2633.36 | − | 1795.39i | 0.989825 | − | 0.674851i | ||||
\(193\) | 493.012 | − | 2160.03i | 0.183874 | − | 0.805606i | −0.795888 | − | 0.605444i | \(-0.792996\pi\) |
0.979763 | − | 0.200163i | \(-0.0641471\pi\) | |||||||
\(194\) | −460.988 | + | 2019.72i | −0.170603 | + | 0.747462i | ||||
\(195\) | 2357.56 | − | 1607.36i | 0.865788 | − | 0.590284i | ||||
\(196\) | −0.555033 | + | 7.40641i | −0.000202272 | + | 0.00269913i | ||||
\(197\) | −1507.82 | + | 465.102i | −0.545320 | + | 0.168209i | −0.555161 | − | 0.831743i | \(-0.687343\pi\) |
0.00984164 | + | 0.999952i | \(0.496867\pi\) | |||||||
\(198\) | −605.496 | − | 91.2639i | −0.217327 | − | 0.0327568i | ||||
\(199\) | −1604.60 | + | 2012.10i | −0.571592 | + | 0.716753i | −0.980653 | − | 0.195754i | \(-0.937285\pi\) |
0.409062 | + | 0.912507i | \(0.365856\pi\) | |||||||
\(200\) | −1293.49 | − | 881.884i | −0.457316 | − | 0.311793i | ||||
\(201\) | 745.980 | − | 692.169i | 0.261778 | − | 0.242895i | ||||
\(202\) | 555.887 | − | 1416.38i | 0.193624 | − | 0.493346i | ||||
\(203\) | −0.844261 | − | 0.260420i | −0.000291899 | − | 9.00389e-5i | ||||
\(204\) | −364.158 | − | 175.369i | −0.124981 | − | 0.0601878i | ||||
\(205\) | 80.5233 | + | 205.170i | 0.0274341 | + | 0.0699009i | ||||
\(206\) | −78.9963 | − | 1054.13i | −0.0267181 | − | 0.356528i | ||||
\(207\) | 116.083 | + | 145.564i | 0.0389774 | + | 0.0488762i | ||||
\(208\) | 978.626 | + | 1695.03i | 0.326228 | + | 0.565044i | ||||
\(209\) | −3671.66 | + | 6359.49i | −1.21519 | + | 2.10476i | ||||
\(210\) | 3786.27 | − | 570.688i | 1.24418 | − | 0.187530i | ||||
\(211\) | 4053.30 | − | 1951.96i | 1.32247 | − | 0.636866i | 0.366521 | − | 0.930410i | \(-0.380549\pi\) |
0.955946 | + | 0.293544i | \(0.0948346\pi\) | |||||||
\(212\) | 319.319 | + | 296.285i | 0.103448 | + | 0.0959856i | ||||
\(213\) | 523.570 | + | 2293.91i | 0.168425 | + | 0.737916i | ||||
\(214\) | 3006.13 | 0.960255 | ||||||||
\(215\) | 358.539 | + | 3874.27i | 0.113731 | + | 1.22895i | ||||
\(216\) | 2970.42 | 0.935700 | ||||||||
\(217\) | 619.734 | + | 2715.23i | 0.193872 | + | 0.849411i | ||||
\(218\) | 368.534 | + | 341.949i | 0.114497 | + | 0.106237i | ||||
\(219\) | 4360.22 | − | 2099.77i | 1.34537 | − | 0.647897i | ||||
\(220\) | 711.142 | − | 107.187i | 0.217933 | − | 0.0328481i | ||||
\(221\) | 1146.24 | − | 1985.34i | 0.348888 | − | 0.604293i | ||||
\(222\) | −2342.70 | − | 4057.67i | −0.708251 | − | 1.22673i | ||||
\(223\) | −4072.64 | − | 5106.93i | −1.22298 | − | 1.53357i | −0.764143 | − | 0.645047i | \(-0.776838\pi\) |
−0.458837 | − | 0.888520i | \(-0.651734\pi\) | |||||||
\(224\) | −71.2539 | − | 950.817i | −0.0212538 | − | 0.283612i | ||||
\(225\) | 121.726 | + | 310.152i | 0.0360669 | + | 0.0918970i | ||||
\(226\) | −1455.01 | − | 700.694i | −0.428254 | − | 0.206236i | ||||
\(227\) | −474.075 | − | 146.233i | −0.138614 | − | 0.0427569i | 0.224672 | − | 0.974435i | \(-0.427869\pi\) |
−0.363286 | + | 0.931678i | \(0.618345\pi\) | |||||||
\(228\) | −376.308 | + | 958.816i | −0.109305 | + | 0.278505i | ||||
\(229\) | 880.866 | − | 817.324i | 0.254189 | − | 0.235853i | −0.542777 | − | 0.839877i | \(-0.682627\pi\) |
0.796966 | + | 0.604024i | \(0.206437\pi\) | |||||||
\(230\) | 1091.70 | + | 744.306i | 0.312975 | + | 0.213383i | ||||
\(231\) | −3029.82 | + | 3799.28i | −0.862977 | + | 1.08214i | ||||
\(232\) | 1.11849 | + | 0.168585i | 0.000316519 | + | 4.77076e-5i | ||||
\(233\) | 1279.95 | − | 394.811i | 0.359880 | − | 0.111008i | −0.109542 | − | 0.993982i | \(-0.534938\pi\) |
0.469422 | + | 0.882974i | \(0.344462\pi\) | |||||||
\(234\) | 36.4051 | − | 485.793i | 0.0101704 | − | 0.135715i | ||||
\(235\) | −4549.50 | + | 3101.80i | −1.26288 | + | 0.861016i | ||||
\(236\) | 132.245 | − | 579.403i | 0.0364763 | − | 0.159813i | ||||
\(237\) | −1331.12 | + | 5832.00i | −0.364832 | + | 1.59843i | ||||
\(238\) | 2541.80 | − | 1732.97i | 0.692272 | − | 0.471983i | ||||
\(239\) | 275.635 | − | 3678.09i | 0.0745998 | − | 0.995465i | −0.826805 | − | 0.562488i | \(-0.809844\pi\) |
0.901405 | − | 0.432977i | \(-0.142537\pi\) | |||||||
\(240\) | −4005.51 | + | 1235.54i | −1.07731 | + | 0.332306i | ||||
\(241\) | 1786.71 | + | 269.303i | 0.477561 | + | 0.0719807i | 0.383412 | − | 0.923577i | \(-0.374749\pi\) |
0.0941488 | + | 0.995558i | \(0.469987\pi\) | |||||||
\(242\) | 1264.35 | − | 1585.45i | 0.335850 | − | 0.421143i | ||||
\(243\) | −1166.14 | − | 795.063i | −0.307852 | − | 0.209890i | ||||
\(244\) | 274.963 | − | 255.129i | 0.0721423 | − | 0.0669382i | ||||
\(245\) | 32.9605 | − | 83.9820i | 0.00859498 | − | 0.0218997i | ||||
\(246\) | 226.543 | + | 69.8792i | 0.0587148 | + | 0.0181111i | ||||
\(247\) | −5263.56 | − | 2534.80i | −1.35592 | − | 0.652976i | ||||
\(248\) | −1302.66 | − | 3319.12i | −0.333544 | − | 0.849855i | ||||
\(249\) | −25.3911 | − | 338.820i | −0.00646222 | − | 0.0862323i | ||||
\(250\) | −1343.28 | − | 1684.42i | −0.339826 | − | 0.426129i | ||||
\(251\) | 2535.56 | + | 4391.73i | 0.637623 | + | 1.10440i | 0.985953 | + | 0.167024i | \(0.0534157\pi\) |
−0.348330 | + | 0.937372i | \(0.613251\pi\) | |||||||
\(252\) | −54.0950 | + | 93.6953i | −0.0135225 | + | 0.0234216i | ||||
\(253\) | −1658.12 | + | 249.922i | −0.412037 | + | 0.0621046i | ||||
\(254\) | −4270.07 | + | 2056.36i | −1.05483 | + | 0.507981i | ||||
\(255\) | 3599.04 | + | 3339.42i | 0.883846 | + | 0.820089i | ||||
\(256\) | 380.067 | + | 1665.18i | 0.0927898 | + | 0.406539i | ||||
\(257\) | 4390.62 | 1.06568 | 0.532839 | − | 0.846217i | \(-0.321125\pi\) | ||||
0.532839 | + | 0.846217i | \(0.321125\pi\) | |||||||
\(258\) | 3498.57 | + | 2296.74i | 0.844230 | + | 0.554221i | ||||
\(259\) | −5901.89 | −1.41593 | ||||||||
\(260\) | 127.316 | + | 557.808i | 0.0303685 | + | 0.133053i | ||||
\(261\) | −0.176471 | − | 0.163741i | −4.18516e−5 | − | 3.88326e-5i | ||||
\(262\) | −6117.71 | + | 2946.13i | −1.44257 | + | 0.694705i | ||||
\(263\) | 5315.86 | − | 801.237i | 1.24635 | − | 0.187857i | 0.507455 | − | 0.861678i | \(-0.330586\pi\) |
0.738894 | + | 0.673821i | \(0.235348\pi\) | |||||||
\(264\) | 3110.68 | − | 5387.85i | 0.725185 | − | 1.25606i | ||||
\(265\) | −2645.65 | − | 4582.40i | −0.613287 | − | 1.06224i | ||||
\(266\) | −4887.99 | − | 6129.35i | −1.12670 | − | 1.41284i | ||||
\(267\) | 581.224 | + | 7755.89i | 0.133222 | + | 1.77773i | ||||
\(268\) | 74.5496 | + | 189.949i | 0.0169920 | + | 0.0432948i | ||||
\(269\) | 598.525 | + | 288.235i | 0.135661 | + | 0.0653308i | 0.500483 | − | 0.865747i | \(-0.333156\pi\) |
−0.364822 | + | 0.931077i | \(0.618870\pi\) | |||||||
\(270\) | −4287.12 | − | 1322.40i | −0.966318 | − | 0.298070i | ||||
\(271\) | 160.680 | − | 409.406i | 0.0360170 | − | 0.0917698i | −0.911734 | − | 0.410782i | \(-0.865256\pi\) |
0.947751 | + | 0.319012i | \(0.103351\pi\) | |||||||
\(272\) | −2468.74 | + | 2290.66i | −0.550329 | + | 0.510631i | ||||
\(273\) | −3194.27 | − | 2177.81i | −0.708153 | − | 0.482811i | ||||
\(274\) | 4230.97 | − | 5305.47i | 0.932855 | − | 1.16976i | ||||
\(275\) | −2967.30 | − | 447.249i | −0.650673 | − | 0.0980731i | ||||
\(276\) | −224.756 | + | 69.3280i | −0.0490171 | + | 0.0151198i | ||||
\(277\) | 251.668 | − | 3358.27i | 0.0545894 | − | 0.728445i | −0.901014 | − | 0.433789i | \(-0.857176\pi\) |
0.955604 | − | 0.294655i | \(-0.0952048\pi\) | |||||||
\(278\) | 2022.39 | − | 1378.84i | 0.436312 | − | 0.297473i | ||||
\(279\) | −168.862 | + | 739.831i | −0.0362347 | + | 0.158755i | ||||
\(280\) | −1374.05 | + | 6020.10i | −0.293268 | + | 1.28489i | ||||
\(281\) | −1039.93 | + | 709.015i | −0.220773 | + | 0.150521i | −0.668657 | − | 0.743571i | \(-0.733130\pi\) |
0.447883 | + | 0.894092i | \(0.352178\pi\) | |||||||
\(282\) | −442.605 | + | 5906.16i | −0.0934637 | + | 1.24719i | ||||
\(283\) | −4455.28 | + | 1374.27i | −0.935826 | + | 0.288664i | −0.724913 | − | 0.688841i | \(-0.758120\pi\) |
−0.210913 | + | 0.977505i | \(0.567644\pi\) | |||||||
\(284\) | −466.531 | − | 70.3182i | −0.0974772 | − | 0.0146923i | ||||
\(285\) | 7800.92 | − | 9782.05i | 1.62136 | − | 2.03312i | ||||
\(286\) | 3625.17 | + | 2471.60i | 0.749513 | + | 0.511009i | ||||
\(287\) | 218.910 | − | 203.119i | 0.0450239 | − | 0.0417761i | ||||
\(288\) | 94.9154 | − | 241.840i | 0.0194199 | − | 0.0494812i | ||||
\(289\) | −925.408 | − | 285.451i | −0.188359 | − | 0.0581011i | ||||
\(290\) | −1.53923 | − | 0.741255i | −0.000311679 | − | 0.000150097i | ||||
\(291\) | 1636.59 | + | 4169.97i | 0.329687 | + | 0.840028i | ||||
\(292\) | 72.5184 | + | 967.691i | 0.0145336 | + | 0.193938i | ||||
\(293\) | −4867.39 | − | 6103.52i | −0.970498 | − | 1.21697i | −0.976175 | − | 0.216983i | \(-0.930379\pi\) |
0.00567715 | − | 0.999984i | \(-0.498193\pi\) | |||||||
\(294\) | −48.5209 | − | 84.0406i | −0.00962516 | − | 0.0166713i | ||||
\(295\) | −3609.53 | + | 6251.88i | −0.712389 | + | 1.23389i | ||||
\(296\) | 7471.54 | − | 1126.15i | 1.46714 | − | 0.221136i | ||||
\(297\) | 5129.92 | − | 2470.44i | 1.00225 | − | 0.482658i | ||||
\(298\) | 4261.62 | + | 3954.21i | 0.828420 | + | 0.768662i | ||||
\(299\) | −296.854 | − | 1300.60i | −0.0574165 | − | 0.251558i | ||||
\(300\) | −420.913 | −0.0810047 | ||||||||
\(301\) | 4708.92 | − | 2369.98i | 0.901720 | − | 0.453831i | ||||
\(302\) | 1196.54 | 0.227990 | ||||||||
\(303\) | −732.120 | − | 3207.63i | −0.138809 | − | 0.608163i | ||||
\(304\) | 6291.30 | + | 5837.47i | 1.18694 | + | 1.10132i | ||||
\(305\) | −4105.08 | + | 1976.90i | −0.770676 | + | 0.371138i | ||||
\(306\) | 828.865 | − | 124.931i | 0.154847 | − | 0.0233394i | ||||
\(307\) | −4554.97 | + | 7889.43i | −0.846794 | + | 1.46669i | 0.0372608 | + | 0.999306i | \(0.488137\pi\) |
−0.884054 | + | 0.467384i | \(0.845197\pi\) | |||||||
\(308\) | −487.206 | − | 843.865i | −0.0901335 | − | 0.156116i | ||||
\(309\) | −1425.16 | − | 1787.10i | −0.262377 | − | 0.329011i | ||||
\(310\) | 402.450 | + | 5370.32i | 0.0737343 | + | 0.983915i | ||||
\(311\) | 1960.39 | + | 4995.00i | 0.357439 | + | 0.910740i | 0.990609 | + | 0.136727i | \(0.0436584\pi\) |
−0.633169 | + | 0.774013i | \(0.718246\pi\) | |||||||
\(312\) | 4459.36 | + | 2147.51i | 0.809171 | + | 0.389676i | ||||
\(313\) | 3520.88 | + | 1086.05i | 0.635821 | + | 0.196125i | 0.595875 | − | 0.803077i | \(-0.296805\pi\) |
0.0399457 | + | 0.999202i | \(0.487281\pi\) | |||||||
\(314\) | 2662.92 | − | 6785.00i | 0.478589 | − | 1.21943i | ||||
\(315\) | 963.372 | − | 893.878i | 0.172317 | − | 0.159887i | ||||
\(316\) | −991.071 | − | 675.701i | −0.176431 | − | 0.120288i | ||||
\(317\) | −2821.46 | + | 3538.00i | −0.499902 | + | 0.626857i | −0.966207 | − | 0.257767i | \(-0.917013\pi\) |
0.466305 | + | 0.884624i | \(0.345585\pi\) | |||||||
\(318\) | −5627.92 | − | 848.272i | −0.992447 | − | 0.149587i | ||||
\(319\) | 2.07184 | − | 0.639079i | 0.000363639 | − | 0.000112168i | ||||
\(320\) | 580.131 | − | 7741.32i | 0.101345 | − | 1.35235i | ||||
\(321\) | 5370.76 | − | 3661.73i | 0.933853 | − | 0.636690i | ||||
\(322\) | 398.359 | − | 1745.33i | 0.0689431 | − | 0.302060i | ||||
\(323\) | 2236.84 | − | 9800.23i | 0.385328 | − | 1.68823i | ||||
\(324\) | 788.966 | − | 537.908i | 0.135282 | − | 0.0922338i | ||||
\(325\) | 178.407 | − | 2380.68i | 0.0304500 | − | 0.406327i | ||||
\(326\) | −8965.78 | + | 2765.58i | −1.52322 | + | 0.469850i | ||||
\(327\) | 1074.95 | + | 162.023i | 0.181789 | + | 0.0274002i | ||||
\(328\) | −238.373 | + | 298.910i | −0.0401279 | + | 0.0503188i | ||||
\(329\) | 6164.13 | + | 4202.63i | 1.03295 | + | 0.704251i | ||||
\(330\) | −6888.18 | + | 6391.29i | −1.14904 | + | 1.06615i | ||||
\(331\) | −387.524 | + | 987.394i | −0.0643511 | + | 0.163964i | −0.959432 | − | 0.281939i | \(-0.909022\pi\) |
0.895081 | + | 0.445903i | \(0.147118\pi\) | |||||||
\(332\) | 65.1034 | + | 20.0817i | 0.0107621 | + | 0.00331966i | ||||
\(333\) | −1448.86 | − | 697.734i | −0.238429 | − | 0.114822i | ||||
\(334\) | −3203.72 | − | 8162.94i | −0.524849 | − | 1.33729i | ||||
\(335\) | −185.231 | − | 2471.74i | −0.0302098 | − | 0.403121i | ||||
\(336\) | 3541.04 | + | 4440.33i | 0.574939 | + | 0.720951i | ||||
\(337\) | −207.430 | − | 359.280i | −0.0335295 | − | 0.0580748i | 0.848774 | − | 0.528756i | \(-0.177341\pi\) |
−0.882303 | + | 0.470681i | \(0.844008\pi\) | |||||||
\(338\) | 1132.69 | − | 1961.88i | 0.182279 | − | 0.315717i | ||||
\(339\) | −3453.03 | + | 520.460i | −0.553224 | + | 0.0833850i | ||||
\(340\) | −886.985 | + | 427.149i | −0.141481 | + | 0.0681336i | ||||
\(341\) | −5010.14 | − | 4648.73i | −0.795643 | − | 0.738249i | ||||
\(342\) | −475.332 | − | 2082.57i | −0.0751550 | − | 0.329276i | ||||
\(343\) | 6290.47 | 0.990243 | ||||||||
\(344\) | −5509.07 | + | 3898.81i | −0.863457 | + | 0.611074i | ||||
\(345\) | 2857.06 | 0.445852 | ||||||||
\(346\) | −1060.44 | − | 4646.11i | −0.164768 | − | 0.721897i | ||||
\(347\) | 2298.29 | + | 2132.50i | 0.355558 | + | 0.329910i | 0.837646 | − | 0.546213i | \(-0.183931\pi\) |
−0.482088 | + | 0.876123i | \(0.660121\pi\) | |||||||
\(348\) | 0.274003 | − | 0.131953i | 4.22072e−5 | − | 2.03259e-5i | ||||
\(349\) | 11962.3 | − | 1803.03i | 1.83475 | − | 0.276544i | 0.861749 | − | 0.507335i | \(-0.169369\pi\) |
0.973003 | + | 0.230791i | \(0.0741312\pi\) | |||||||
\(350\) | 1601.84 | − | 2774.47i | 0.244634 | − | 0.423719i | ||||
\(351\) | 2264.90 | + | 3922.91i | 0.344419 | + | 0.596552i | ||||
\(352\) | 1458.89 | + | 1829.39i | 0.220907 | + | 0.277008i | ||||
\(353\) | 174.802 | + | 2332.58i | 0.0263564 | + | 0.351701i | 0.994754 | + | 0.102292i | \(0.0326175\pi\) |
−0.968398 | + | 0.249410i | \(0.919763\pi\) | |||||||
\(354\) | 2836.88 | + | 7228.26i | 0.425929 | + | 1.08525i | ||||
\(355\) | 5163.45 | + | 2486.59i | 0.771965 | + | 0.371759i | ||||
\(356\) | −1490.27 | − | 459.689i | −0.221866 | − | 0.0684367i | ||||
\(357\) | 2430.29 | − | 6192.28i | 0.360293 | − | 0.918012i | ||||
\(358\) | 2517.63 | − | 2336.02i | 0.371678 | − | 0.344867i | ||||
\(359\) | −1468.73 | − | 1001.37i | −0.215924 | − | 0.147215i | 0.450528 | − | 0.892762i | \(-0.351236\pi\) |
−0.666452 | + | 0.745548i | \(0.732188\pi\) | |||||||
\(360\) | −1049.02 | + | 1315.43i | −0.153579 | + | 0.192582i | ||||
\(361\) | −18548.5 | − | 2795.74i | −2.70426 | − | 0.407601i | ||||
\(362\) | 2116.92 | − | 652.985i | 0.307357 | − | 0.0948070i | ||||
\(363\) | 327.686 | − | 4372.67i | 0.0473803 | − | 0.632247i | ||||
\(364\) | 640.509 | − | 436.692i | 0.0922303 | − | 0.0628815i | ||||
\(365\) | 2622.98 | − | 11492.0i | 0.376146 | − | 1.64800i | ||||
\(366\) | −1090.55 | + | 4778.02i | −0.155749 | + | 0.682379i | ||||
\(367\) | 904.163 | − | 616.448i | 0.128602 | − | 0.0876794i | −0.497311 | − | 0.867573i | \(-0.665679\pi\) |
0.625913 | + | 0.779893i | \(0.284727\pi\) | |||||||
\(368\) | −146.455 | + | 1954.31i | −0.0207459 | + | 0.276835i | ||||
\(369\) | 77.7535 | − | 23.9838i | 0.0109693 | − | 0.00338359i | ||||
\(370\) | −11284.8 | − | 1700.91i | −1.58560 | − | 0.238990i | ||||
\(371\) | −4469.92 | + | 5605.10i | −0.625517 | + | 0.784373i | ||||
\(372\) | −792.088 | − | 540.036i | −0.110397 | − | 0.0752677i | ||||
\(373\) | −114.210 | + | 105.972i | −0.0158541 | + | 0.0147105i | −0.688060 | − | 0.725654i | \(-0.741537\pi\) |
0.672206 | + | 0.740364i | \(0.265347\pi\) | |||||||
\(374\) | −2758.13 | + | 7027.61i | −0.381336 | + | 0.971629i | ||||
\(375\) | −4451.69 | − | 1373.16i | −0.613025 | − | 0.189093i | ||||
\(376\) | −8605.43 | − | 4144.16i | −1.18030 | − | 0.568401i | ||||
\(377\) | 0.630187 | + | 1.60569i | 8.60909e−5 | + | 0.000219356i | ||||
\(378\) | 454.261 | + | 6061.69i | 0.0618113 | + | 0.824814i | ||||
\(379\) | 5494.38 | + | 6889.74i | 0.744664 | + | 0.933779i | 0.999448 | − | 0.0332193i | \(-0.0105760\pi\) |
−0.254785 | + | 0.966998i | \(0.582005\pi\) | |||||||
\(380\) | 1254.41 | + | 2172.71i | 0.169342 | + | 0.293310i | ||||
\(381\) | −5124.11 | + | 8875.22i | −0.689019 | + | 1.19342i | ||||
\(382\) | 8163.92 | − | 1230.51i | 1.09346 | − | 0.164813i | ||||
\(383\) | −5622.35 | + | 2707.58i | −0.750100 | + | 0.361229i | −0.769554 | − | 0.638581i | \(-0.779522\pi\) |
0.0194538 | + | 0.999811i | \(0.493807\pi\) | |||||||
\(384\) | −4426.74 | − | 4107.41i | −0.588284 | − | 0.545848i | ||||
\(385\) | 2633.81 | + | 11539.5i | 0.348654 | + | 1.52755i | ||||
\(386\) | −5804.65 | −0.765411 | ||||||||
\(387\) | 1436.18 | − | 25.1082i | 0.188644 | − | 0.00329799i | ||||
\(388\) | −898.249 | −0.117530 | ||||||||
\(389\) | −2191.37 | − | 9601.01i | −0.285622 | − | 1.25139i | −0.890467 | − | 0.455047i | \(-0.849622\pi\) |
0.604846 | − | 0.796343i | \(-0.293235\pi\) | |||||||
\(390\) | −5480.02 | − | 5084.71i | −0.711517 | − | 0.660191i | ||||
\(391\) | 2068.12 | − | 995.956i | 0.267492 | − | 0.128818i | ||||
\(392\) | 154.747 | − | 23.3244i | 0.0199385 | − | 0.00300525i | ||||
\(393\) | −7341.29 | + | 12715.5i | −0.942288 | + | 1.63209i | ||||
\(394\) | 2067.03 | + | 3580.20i | 0.264303 | + | 0.457786i | ||||
\(395\) | 9084.49 | + | 11391.6i | 1.15719 | + | 1.45107i | ||||
\(396\) | −19.8410 | − | 264.759i | −0.00251779 | − | 0.0335976i | ||||
\(397\) | −1187.30 | − | 3025.20i | −0.150098 | − | 0.382444i | 0.835972 | − | 0.548772i | \(-0.184904\pi\) |
−0.986071 | + | 0.166327i | \(0.946809\pi\) | |||||||
\(398\) | 6074.85 | + | 2925.49i | 0.765087 | + | 0.368446i | ||||
\(399\) | −16199.0 | − | 4996.73i | −2.03249 | − | 0.626941i | ||||
\(400\) | −1281.30 | + | 3264.71i | −0.160163 | + | 0.408088i | ||||
\(401\) | 2745.11 | − | 2547.09i | 0.341855 | − | 0.317195i | −0.490496 | − | 0.871443i | \(-0.663184\pi\) |
0.832352 | + | 0.554248i | \(0.186994\pi\) | |||||||
\(402\) | −2202.86 | − | 1501.89i | −0.273306 | − | 0.186337i | ||||
\(403\) | 3390.18 | − | 4251.15i | 0.419049 | − | 0.525471i | ||||
\(404\) | 652.361 | + | 98.3276i | 0.0803371 | + | 0.0121089i | ||||
\(405\) | −11083.8 | + | 3418.90i | −1.35990 | + | 0.419472i | ||||
\(406\) | −0.172981 | + | 2.30827i | −2.11450e−5 | + | 0.000282161i | ||||
\(407\) | 11966.8 | − | 8158.81i | 1.45742 | − | 0.993654i | ||||
\(408\) | −1895.08 | + | 8302.89i | −0.229952 | + | 1.00749i | ||||
\(409\) | −441.482 | + | 1934.26i | −0.0533738 | + | 0.233846i | −0.994578 | − | 0.103992i | \(-0.966838\pi\) |
0.941204 | + | 0.337838i | \(0.109696\pi\) | |||||||
\(410\) | 477.110 | − | 325.288i | 0.0574702 | − | 0.0391825i | ||||
\(411\) | 1096.55 | − | 14632.5i | 0.131603 | − | 1.75612i | ||||
\(412\) | 437.978 | − | 135.098i | 0.0523729 | − | 0.0161549i | ||||
\(413\) | 9671.86 | + | 1457.80i | 1.15235 | + | 0.173689i | ||||
\(414\) | 304.129 | − | 381.366i | 0.0361042 | − | 0.0452733i | ||||
\(415\) | −683.781 | − | 466.194i | −0.0808807 | − | 0.0551436i | ||||
\(416\) | −1364.60 | + | 1266.16i | −0.160829 | + | 0.149228i | ||||
\(417\) | 1933.66 | − | 4926.90i | 0.227079 | − | 0.578588i | ||||
\(418\) | 18384.2 | + | 5670.78i | 2.15120 | + | 0.663557i | ||||
\(419\) | −981.240 | − | 472.540i | −0.114407 | − | 0.0550957i | 0.375805 | − | 0.926699i | \(-0.377366\pi\) |
−0.490212 | + | 0.871603i | \(0.663081\pi\) | |||||||
\(420\) | 606.548 | + | 1545.46i | 0.0704679 | + | 0.179549i | ||||
\(421\) | −669.444 | − | 8933.11i | −0.0774981 | − | 1.03414i | −0.891424 | − | 0.453171i | \(-0.850293\pi\) |
0.813926 | − | 0.580969i | \(-0.197326\pi\) | |||||||
\(422\) | −7348.82 | − | 9215.12i | −0.847713 | − | 1.06300i | ||||
\(423\) | 1016.39 | + | 1760.44i | 0.116829 | + | 0.202354i | ||||
\(424\) | 4589.21 | − | 7948.74i | 0.525640 | − | 0.910436i | ||||
\(425\) | 4061.94 | − | 612.239i | 0.463607 | − | 0.0698776i | ||||
\(426\) | 5553.97 | − | 2674.65i | 0.631668 | − | 0.304195i | ||||
\(427\) | 4525.37 | + | 4198.93i | 0.512876 | + | 0.475880i | ||||
\(428\) | 290.039 | + | 1270.74i | 0.0327559 | + | 0.143513i | ||||
\(429\) | 9487.37 | 1.06773 | ||||||||
\(430\) | 9686.81 | − | 3174.45i | 1.08637 | − | 0.356013i | ||||
\(431\) | −8840.93 | −0.988057 | −0.494029 | − | 0.869446i | \(-0.664476\pi\) | ||||
−0.494029 | + | 0.869446i | \(0.664476\pi\) | |||||||
\(432\) | −1480.76 | − | 6487.64i | −0.164915 | − | 0.722539i | ||||
\(433\) | 1332.77 | + | 1236.63i | 0.147919 | + | 0.137249i | 0.750662 | − | 0.660687i | \(-0.229735\pi\) |
−0.602742 | + | 0.797936i | \(0.705925\pi\) | |||||||
\(434\) | 6574.07 | − | 3165.90i | 0.727109 | − | 0.350157i | ||||
\(435\) | −3.65292 | + | 0.550589i | −0.000402630 | + | 6.06867e-5i | ||||
\(436\) | −108.991 | + | 188.778i | −0.0119718 | + | 0.0207358i | ||||
\(437\) | −2924.83 | − | 5065.96i | −0.320169 | − | 0.554549i | ||||
\(438\) | −7905.28 | − | 9912.91i | −0.862395 | − | 1.08141i | ||||
\(439\) | −346.914 | − | 4629.24i | −0.0377159 | − | 0.503284i | −0.983789 | − | 0.179330i | \(-0.942607\pi\) |
0.946073 | − | 0.323953i | \(-0.105012\pi\) | |||||||
\(440\) | −5536.17 | − | 14105.9i | −0.599833 | − | 1.52835i | ||||
\(441\) | −30.0081 | − | 14.4511i | −0.00324027 | − | 0.00156043i | ||||
\(442\) | −5739.29 | − | 1770.34i | −0.617625 | − | 0.190512i | ||||
\(443\) | −2460.21 | + | 6268.52i | −0.263856 | + | 0.672295i | −0.999990 | − | 0.00454168i | \(-0.998554\pi\) |
0.736133 | + | 0.676836i | \(0.236650\pi\) | |||||||
\(444\) | 1489.22 | − | 1381.79i | 0.159179 | − | 0.147696i | ||||
\(445\) | 15652.4 | + | 10671.6i | 1.66740 | + | 1.13681i | ||||
\(446\) | −10670.0 | + | 13379.8i | −1.13283 | + | 1.42052i | ||||
\(447\) | 12430.4 | + | 1873.58i | 1.31530 | + | 0.198249i | ||||
\(448\) | −10050.8 | + | 3100.28i | −1.05995 | + | 0.326951i | ||||
\(449\) | −531.528 | + | 7092.75i | −0.0558672 | + | 0.745495i | 0.896985 | + | 0.442061i | \(0.145752\pi\) |
−0.952852 | + | 0.303435i | \(0.901867\pi\) | |||||||
\(450\) | 721.240 | − | 491.733i | 0.0755546 | − | 0.0515122i | ||||
\(451\) | −163.073 | + | 714.470i | −0.0170262 | + | 0.0745966i | ||||
\(452\) | 155.813 | − | 682.661i | 0.0162142 | − | 0.0710391i | ||||
\(453\) | 2137.74 | − | 1457.49i | 0.221722 | − | 0.151167i | ||||
\(454\) | −97.1334 | + | 1296.16i | −0.0100412 | + | 0.133990i | ||||
\(455\) | −8998.20 | + | 2775.58i | −0.927126 | + | 0.285980i | ||||
\(456\) | 21460.7 | + | 3234.68i | 2.20392 | + | 0.332188i | ||||
\(457\) | −1639.29 | + | 2055.60i | −0.167796 | + | 0.210409i | −0.858619 | − | 0.512615i | \(-0.828677\pi\) |
0.690823 | + | 0.723024i | \(0.257248\pi\) | |||||||
\(458\) | −2601.18 | − | 1773.45i | −0.265382 | − | 0.180935i | ||||
\(459\) | −5713.57 | + | 5301.42i | −0.581016 | + | 0.539104i | ||||
\(460\) | −209.301 | + | 533.291i | −0.0212146 | + | 0.0540540i | ||||
\(461\) | −9488.59 | − | 2926.84i | −0.958628 | − | 0.295698i | −0.224321 | − | 0.974515i | \(-0.572016\pi\) |
−0.734307 | + | 0.678818i | \(0.762493\pi\) | |||||||
\(462\) | 11470.6 | + | 5523.96i | 1.15511 | + | 0.556273i | ||||
\(463\) | 514.552 | + | 1311.06i | 0.0516485 | + | 0.131598i | 0.954370 | − | 0.298628i | \(-0.0965290\pi\) |
−0.902721 | + | 0.430226i | \(0.858434\pi\) | |||||||
\(464\) | −0.189366 | − | 2.52692i | −1.89463e−5 | − | 0.000252821i | ||||
\(465\) | 7260.54 | + | 9104.43i | 0.724085 | + | 0.907974i | ||||
\(466\) | −1754.64 | − | 3039.12i | −0.174425 | − | 0.302113i | ||||
\(467\) | 2341.40 | − | 4055.42i | 0.232006 | − | 0.401847i | −0.726392 | − | 0.687280i | \(-0.758804\pi\) |
0.958398 | + | 0.285434i | \(0.0921377\pi\) | |||||||
\(468\) | 208.866 | − | 31.4814i | 0.0206300 | − | 0.00310947i | ||||
\(469\) | −3025.78 | + | 1457.14i | −0.297905 | + | 0.143463i | ||||
\(470\) | 10575.0 | + | 9812.21i | 1.03785 | + | 0.962986i | ||||
\(471\) | −3507.14 | − | 15365.8i | −0.343101 | − | 1.50322i | ||||
\(472\) | −12522.3 | −1.22116 | ||||||||
\(473\) | −6271.62 | + | 11315.0i | −0.609661 | + | 1.09993i | ||||
\(474\) | 15672.4 | 1.51868 | ||||||||
\(475\) | −2329.42 | − | 10205.8i | −0.225013 | − | 0.985844i | ||||
\(476\) | 977.798 | + | 907.264i | 0.0941540 | + | 0.0873621i | ||||
\(477\) | −1759.97 | + | 847.557i | −0.168938 | + | 0.0813564i | ||||
\(478\) | −9555.43 | + | 1440.25i | −0.914342 | + | 0.137815i | ||||
\(479\) | 2861.91 | − | 4956.98i | 0.272994 | − | 0.472840i | −0.696633 | − | 0.717428i | \(-0.745319\pi\) |
0.969627 | + | 0.244588i | \(0.0786527\pi\) | |||||||
\(480\) | −1993.37 | − | 3452.62i | −0.189551 | − | 0.328312i | ||||
\(481\) | 7184.20 | + | 9008.71i | 0.681022 | + | 0.853974i | ||||
\(482\) | −353.767 | − | 4720.69i | −0.0334308 | − | 0.446103i | ||||
\(483\) | −1414.25 | − | 3603.45i | −0.133231 | − | 0.339467i | ||||
\(484\) | 792.185 | + | 381.496i | 0.0743976 | + | 0.0358280i | ||||
\(485\) | 10426.4 | + | 3216.11i | 0.976158 | + | 0.301105i | ||||
\(486\) | −1350.93 | + | 3442.12i | −0.126090 | + | 0.321271i | ||||
\(487\) | −4518.38 | + | 4192.44i | −0.420426 | + | 0.390098i | −0.861819 | − | 0.507216i | \(-0.830675\pi\) |
0.441393 | + | 0.897314i | \(0.354484\pi\) | |||||||
\(488\) | −6530.14 | − | 4452.17i | −0.605749 | − | 0.412993i | ||||
\(489\) | −12649.6 | + | 15862.1i | −1.16981 | + | 1.46689i | ||||
\(490\) | −233.726 | − | 35.2285i | −0.0215483 | − | 0.00324788i | ||||
\(491\) | 10068.4 | − | 3105.70i | 0.925423 | − | 0.285455i | 0.204817 | − | 0.978800i | \(-0.434340\pi\) |
0.720606 | + | 0.693345i | \(0.243864\pi\) | |||||||
\(492\) | −7.68174 | + | 102.506i | −0.000703902 | + | 0.00939291i | ||||
\(493\) | −2.45228 | + | 1.67194i | −0.000224027 | + | 0.000152739i | ||||
\(494\) | −3405.88 | + | 14922.2i | −0.310198 | + | 1.35907i | ||||
\(495\) | −717.646 | + | 3144.21i | −0.0651632 | + | 0.285499i | ||||
\(496\) | −6599.86 | + | 4499.71i | −0.597464 | + | 0.407344i | ||||
\(497\) | 580.275 | − | 7743.23i | 0.0523720 | − | 0.698856i | ||||
\(498\) | −850.626 | + | 262.383i | −0.0765411 | + | 0.0236098i | ||||
\(499\) | −1626.90 | − | 245.215i | −0.145952 | − | 0.0219987i | 0.0756600 | − | 0.997134i | \(-0.475894\pi\) |
−0.221612 | + | 0.975135i | \(0.571132\pi\) | |||||||
\(500\) | 582.431 | − | 730.346i | 0.0520942 | − | 0.0653241i | ||||
\(501\) | −15667.0 | − | 10681.6i | −1.39710 | − | 0.952529i | ||||
\(502\) | 9739.33 | − | 9036.78i | 0.865911 | − | 0.803448i | ||||
\(503\) | −2058.31 | + | 5244.49i | −0.182456 | + | 0.464892i | −0.992613 | − | 0.121322i | \(-0.961287\pi\) |
0.810157 | + | 0.586213i | \(0.199382\pi\) | |||||||
\(504\) | 2178.35 | + | 671.932i | 0.192523 | + | 0.0593854i | ||||
\(505\) | −7220.18 | − | 3477.05i | −0.636225 | − | 0.306390i | ||||
\(506\) | 1605.03 | + | 4089.55i | 0.141012 | + | 0.359293i | ||||
\(507\) | −366.067 | − | 4884.83i | −0.0320663 | − | 0.427895i | ||||
\(508\) | −1281.25 | − | 1606.63i | −0.111902 | − | 0.140320i | ||||
\(509\) | −2873.06 | − | 4976.29i | −0.250189 | − | 0.433340i | 0.713389 | − | 0.700769i | \(-0.247159\pi\) |
−0.963578 | + | 0.267428i | \(0.913826\pi\) | |||||||
\(510\) | 6431.49 | − | 11139.7i | 0.558414 | − | 0.967201i | ||||
\(511\) | −15792.6 | + | 2380.36i | −1.36717 | + | 0.206068i | ||||
\(512\) | 11714.8 | − | 5641.55i | 1.01118 | − | 0.486960i | ||||
\(513\) | 14560.4 | + | 13510.0i | 1.25313 | + | 1.16273i | ||||
\(514\) | −2559.68 | − | 11214.7i | −0.219655 | − | 0.962372i | ||||
\(515\) | −5567.51 | −0.476376 | ||||||||
\(516\) | −633.323 | + | 1700.50i | −0.0540320 | + | 0.145078i | ||||
\(517\) | −18308.2 | −1.55744 | ||||||||
\(518\) | 3440.74 | + | 15074.9i | 0.291848 | + | 1.27867i | ||||
\(519\) | −7553.97 | − | 7009.06i | −0.638887 | − | 0.592801i | ||||
\(520\) | 10861.7 | − | 5230.73i | 0.915996 | − | 0.441121i | ||||
\(521\) | −10947.8 | + | 1650.11i | −0.920594 | + | 0.138757i | −0.592207 | − | 0.805786i | \(-0.701743\pi\) |
−0.328387 | + | 0.944543i | \(0.606505\pi\) | |||||||
\(522\) | −0.315353 | + | 0.546208i | −2.64418e−5 | + | 4.57986e-5i | ||||
\(523\) | 4907.38 | + | 8499.83i | 0.410296 | + | 0.710653i | 0.994922 | − | 0.100650i | \(-0.0320921\pi\) |
−0.584626 | + | 0.811303i | \(0.698759\pi\) | |||||||
\(524\) | −1835.63 | − | 2301.81i | −0.153034 | − | 0.191899i | ||||
\(525\) | −517.688 | − | 6908.06i | −0.0430357 | − | 0.574272i | ||||
\(526\) | −5145.64 | − | 13110.9i | −0.426541 | − | 1.08681i | ||||
\(527\) | 8429.41 | + | 4059.39i | 0.696756 | + | 0.335540i | ||||
\(528\) | −13318.2 | − | 4108.12i | −1.09773 | − | 0.338604i | ||||
\(529\) | −3957.09 | + | 10082.5i | −0.325231 | + | 0.828676i | ||||
\(530\) | −10162.2 | + | 9429.12i | −0.832862 | + | 0.772783i | ||||
\(531\) | 2202.01 | + | 1501.30i | 0.179960 | + | 0.122695i | ||||
\(532\) | 2119.38 | − | 2657.61i | 0.172719 | − | 0.216583i | ||||
\(533\) | −576.516 | − | 86.8957i | −0.0468511 | − | 0.00706167i | ||||
\(534\) | 19471.6 | − | 6006.19i | 1.57794 | − | 0.486729i | ||||
\(535\) | 1183.18 | − | 15788.5i | 0.0956141 | − | 1.27588i | ||||
\(536\) | 3552.46 | − | 2422.03i | 0.286274 | − | 0.195178i | ||||
\(537\) | 1652.54 | − | 7240.23i | 0.132797 | − | 0.581823i | ||||
\(538\) | 387.287 | − | 1696.82i | 0.0310356 | − | 0.135976i | ||||
\(539\) | 247.850 | − | 168.981i | 0.0198064 | − | 0.0135038i | ||||
\(540\) | 145.370 | − | 1939.83i | 0.0115847 | − | 0.154587i | ||||
\(541\) | −3068.95 | + | 946.645i | −0.243890 | + | 0.0752301i | −0.414290 | − | 0.910145i | \(-0.635970\pi\) |
0.170400 | + | 0.985375i | \(0.445494\pi\) | |||||||
\(542\) | −1139.40 | − | 171.736i | −0.0902975 | − | 0.0136102i | ||||
\(543\) | 2986.72 | − | 3745.23i | 0.236045 | − | 0.295991i | ||||
\(544\) | −2646.49 | − | 1804.35i | −0.208580 | − | 0.142207i | ||||
\(545\) | 1941.01 | − | 1800.99i | 0.152557 | − | 0.141552i | ||||
\(546\) | −3700.44 | + | 9428.57i | −0.290045 | + | 0.739021i | ||||
\(547\) | −9018.92 | − | 2781.97i | −0.704974 | − | 0.217456i | −0.0785185 | − | 0.996913i | \(-0.525019\pi\) |
−0.626456 | + | 0.779457i | \(0.715495\pi\) | |||||||
\(548\) | 2650.93 | + | 1276.62i | 0.206646 | + | 0.0995155i | ||||
\(549\) | 614.530 | + | 1565.80i | 0.0477733 | + | 0.121724i | ||||
\(550\) | 587.523 | + | 7839.95i | 0.0455492 | + | 0.607812i | ||||
\(551\) | 4.71584 | + | 5.91348i | 0.000364613 | + | 0.000457210i | ||||
\(552\) | 2477.96 | + | 4291.95i | 0.191067 | + | 0.330938i | ||||
\(553\) | 9870.73 | − | 17096.6i | 0.759035 | − | 1.31469i | ||||
\(554\) | −8724.57 | + | 1315.02i | −0.669082 | + | 0.100848i | ||||
\(555\) | −22233.4 | + | 10707.0i | −1.70046 | + | 0.818899i | ||||
\(556\) | 777.986 | + | 721.865i | 0.0593416 | + | 0.0550610i | ||||
\(557\) | 2342.56 | + | 10263.4i | 0.178200 | + | 0.780746i | 0.982461 | + | 0.186469i | \(0.0597045\pi\) |
−0.804261 | + | 0.594277i | \(0.797438\pi\) | |||||||
\(558\) | 1988.15 | 0.150834 | ||||||||
\(559\) | −9349.59 | − | 4302.84i | −0.707416 | − | 0.325565i | ||||
\(560\) | 13833.4 | 1.04387 | ||||||||
\(561\) | 3632.55 | + | 15915.2i | 0.273380 | + | 1.19776i | ||||
\(562\) | 2417.27 | + | 2242.89i | 0.181435 | + | 0.168347i | ||||
\(563\) | 7998.55 | − | 3851.90i | 0.598755 | − | 0.288345i | −0.109853 | − | 0.993948i | \(-0.535038\pi\) |
0.708608 | + | 0.705603i | \(0.249324\pi\) | |||||||
\(564\) | −2539.34 | + | 382.744i | −0.189584 | + | 0.0285752i | ||||
\(565\) | −4252.80 | + | 7366.06i | −0.316666 | + | 0.548482i | ||||
\(566\) | 6107.60 | + | 10578.7i | 0.453572 | + | 0.785609i | ||||
\(567\) | 9798.55 | + | 12287.0i | 0.725750 | + | 0.910062i | ||||
\(568\) | 742.901 | + | 9913.32i | 0.0548793 | + | 0.732313i | ||||
\(569\) | 3070.75 | + | 7824.15i | 0.226244 | + | 0.576460i | 0.998249 | − | 0.0591569i | \(-0.0188412\pi\) |
−0.772005 | + | 0.635617i | \(0.780746\pi\) | |||||||
\(570\) | −29533.6 | − | 14222.6i | −2.17022 | − | 1.04512i | ||||
\(571\) | 17617.9 | + | 5434.41i | 1.29122 | + | 0.398289i | 0.862917 | − | 0.505346i | \(-0.168635\pi\) |
0.428304 | + | 0.903635i | \(0.359111\pi\) | |||||||
\(572\) | −695.022 | + | 1770.89i | −0.0508048 | + | 0.129449i | ||||
\(573\) | 13086.9 | − | 12142.8i | 0.954121 | − | 0.885294i | ||||
\(574\) | −646.437 | − | 440.733i | −0.0470065 | − | 0.0320485i | ||||
\(575\) | 1490.42 | − | 1868.93i | 0.108095 | − | 0.135547i | ||||
\(576\) | −2833.91 | − | 427.143i | −0.204999 | − | 0.0308987i | ||||
\(577\) | 1734.89 | − | 535.142i | 0.125172 | − | 0.0386105i | −0.231536 | − | 0.972826i | \(-0.574375\pi\) |
0.356708 | + | 0.934216i | \(0.383899\pi\) | |||||||
\(578\) | −189.607 | + | 2530.13i | −0.0136447 | + | 0.182075i | ||||
\(579\) | −10370.6 | + | 7070.57i | −0.744367 | + | 0.507501i | ||||
\(580\) | 0.164833 | − | 0.722179i | 1.18005e−5 | − | 5.17014e-5i | ||||
\(581\) | −249.511 | + | 1093.18i | −0.0178167 | + | 0.0780599i | ||||
\(582\) | 9697.00 | − | 6611.31i | 0.690642 | − | 0.470872i | ||||
\(583\) | 1314.76 | − | 17544.3i | 0.0933993 | − | 1.24633i | ||||
\(584\) | 19538.6 | − | 6026.86i | 1.38444 | − | 0.427043i | ||||
\(585\) | −2537.11 | − | 382.408i | −0.179310 | − | 0.0270267i | ||||
\(586\) | −12752.2 | + | 15990.8i | −0.898958 | + | 1.12726i | ||||
\(587\) | 3636.37 | + | 2479.23i | 0.255688 | + | 0.174325i | 0.684380 | − | 0.729126i | \(-0.260073\pi\) |
−0.428692 | + | 0.903451i | \(0.641025\pi\) | |||||||
\(588\) | 30.8440 | − | 28.6191i | 0.00216324 | − | 0.00200720i | ||||
\(589\) | 8710.64 | − | 22194.4i | 0.609365 | − | 1.55264i | ||||
\(590\) | 18073.1 | + | 5574.82i | 1.26112 | + | 0.389003i | ||||
\(591\) | 8053.96 | + | 3878.58i | 0.560568 | + | 0.269955i | ||||
\(592\) | −6184.20 | − | 15757.1i | −0.429340 | − | 1.09394i | ||||
\(593\) | 1052.62 | + | 14046.2i | 0.0728933 | + | 0.972694i | 0.907011 | + | 0.421107i | \(0.138358\pi\) |
−0.834118 | + | 0.551587i | \(0.814023\pi\) | |||||||
\(594\) | −9300.78 | − | 11662.8i | −0.642451 | − | 0.805608i | ||||
\(595\) | −8101.33 | − | 14031.9i | −0.558189 | − | 0.966811i | ||||
\(596\) | −1260.34 | + | 2182.98i | −0.0866201 | + | 0.150030i | ||||
\(597\) | 14416.9 | − | 2172.99i | 0.988347 | − | 0.148969i | ||||
\(598\) | −3148.99 | + | 1516.48i | −0.215338 | + | 0.103701i | ||||
\(599\) | 10891.7 | + | 10106.0i | 0.742944 | + | 0.689351i | 0.957845 | − | 0.287285i | \(-0.0927525\pi\) |
−0.214901 | + | 0.976636i | \(0.568943\pi\) | |||||||
\(600\) | 1973.51 | + | 8646.53i | 0.134281 | + | 0.588322i | ||||
\(601\) | 8545.44 | 0.579993 | 0.289997 | − | 0.957028i | \(-0.406346\pi\) | ||||
0.289997 | + | 0.957028i | \(0.406346\pi\) | |||||||
\(602\) | −8798.74 | − | 10646.1i | −0.595697 | − | 0.720766i | ||||
\(603\) | −915.065 | −0.0617982 | ||||||||
\(604\) | 115.445 | + | 505.798i | 0.00777714 | + | 0.0340739i | ||||
\(605\) | −7829.31 | − | 7264.54i | −0.526127 | − | 0.488175i | ||||
\(606\) | −7766.24 | + | 3740.03i | −0.520598 | + | 0.250707i | ||||
\(607\) | 16383.4 | − | 2469.40i | 1.09552 | − | 0.165123i | 0.423675 | − | 0.905814i | \(-0.360740\pi\) |
0.671846 | + | 0.740691i | \(0.265502\pi\) | |||||||
\(608\) | −4081.31 | + | 7069.04i | −0.272235 | + | 0.471525i | ||||
\(609\) | 2.50262 | + | 4.33467i | 0.000166521 | + | 0.000288423i | ||||
\(610\) | 7442.70 | + | 9332.86i | 0.494010 | + | 0.619469i | ||||
\(611\) | −1088.48 | − | 14524.7i | −0.0720705 | − | 0.961714i | ||||
\(612\) | 132.782 | + | 338.322i | 0.00877023 | + | 0.0223462i | ||||
\(613\) | 9278.70 | + | 4468.38i | 0.611359 | + | 0.294415i | 0.713828 | − | 0.700321i | \(-0.246960\pi\) |
−0.102469 | + | 0.994736i | \(0.532674\pi\) | |||||||
\(614\) | 22807.0 | + | 7035.03i | 1.49905 | + | 0.462395i | ||||
\(615\) | 456.178 | − | 1162.32i | 0.0299104 | − | 0.0762104i | ||||
\(616\) | −15050.6 | + | 13964.9i | −0.984425 | + | 0.913413i | ||||
\(617\) | −20078.6 | − | 13689.4i | −1.31011 | − | 0.893215i | −0.311729 | − | 0.950171i | \(-0.600908\pi\) |
−0.998377 | + | 0.0569561i | \(0.981860\pi\) | |||||||
\(618\) | −3733.82 | + | 4682.06i | −0.243036 | + | 0.304758i | ||||
\(619\) | 17746.4 | + | 2674.84i | 1.15232 | + | 0.173685i | 0.697289 | − | 0.716790i | \(-0.254390\pi\) |
0.455033 | + | 0.890475i | \(0.349628\pi\) | |||||||
\(620\) | −2231.30 | + | 688.265i | −0.144534 | + | 0.0445829i | ||||
\(621\) | −338.950 | + | 4522.97i | −0.0219027 | + | 0.292272i | ||||
\(622\) | 11615.5 | − | 7919.34i | 0.748779 | − | 0.510509i | ||||
\(623\) | 5711.54 | − | 25023.9i | 0.367300 | − | 1.60925i | ||||
\(624\) | 2467.35 | − | 10810.2i | 0.158290 | − | 0.693514i | ||||
\(625\) | −16130.5 | + | 10997.6i | −1.03235 | + | 0.703846i | ||||
\(626\) | 721.394 | − | 9626.34i | 0.0460586 | − | 0.614610i | ||||
\(627\) | 39752.9 | − | 12262.1i | 2.53202 | − | 0.781025i | ||||
\(628\) | 3125.06 | + | 471.028i | 0.198573 | + | 0.0299300i | ||||
\(629\) | −12361.6 | + | 15500.9i | −0.783605 | + | 0.982609i | ||||
\(630\) | −2844.82 | − | 1939.56i | −0.179905 | − | 0.122657i | ||||
\(631\) | −10135.5 | + | 9404.41i | −0.639445 | + | 0.593318i | −0.931791 | − | 0.362994i | \(-0.881754\pi\) |
0.292346 | + | 0.956312i | \(0.405564\pi\) | |||||||
\(632\) | −9233.68 | + | 23527.0i | −0.581164 | + | 1.48078i | ||||
\(633\) | −24354.3 | − | 7512.30i | −1.52922 | − | 0.471702i | ||||
\(634\) | 10681.8 | + | 5144.07i | 0.669129 | + | 0.322235i | ||||
\(635\) | 9119.55 | + | 23236.2i | 0.569918 | + | 1.45213i | ||||
\(636\) | −184.416 | − | 2460.86i | −0.0114978 | − | 0.153427i | ||||
\(637\) | 148.796 | + | 186.584i | 0.00925511 | + | 0.0116055i | ||||
\(638\) | −2.84022 | − | 4.91941i | −0.000176247 | − | 0.000305269i | ||||
\(639\) | 1057.87 | − | 1832.29i | 0.0654911 | − | 0.113434i | ||||
\(640\) | −14544.5 | + | 2192.22i | −0.898313 | + | 0.135399i | ||||
\(641\) | 13793.4 | − | 6642.55i | 0.849931 | − | 0.409305i | 0.0423793 | − | 0.999102i | \(-0.486506\pi\) |
0.807552 | + | 0.589796i | \(0.200792\pi\) | |||||||
\(642\) | −12484.0 | − | 11583.5i | −0.767454 | − | 0.712093i | ||||
\(643\) | −1313.17 | − | 5753.36i | −0.0805386 | − | 0.352862i | 0.918562 | − | 0.395278i | \(-0.129352\pi\) |
−0.999100 | + | 0.0424156i | \(0.986495\pi\) | |||||||
\(644\) | 776.215 | 0.0474956 | ||||||||
\(645\) | 13439.8 | − | 17470.9i | 0.820449 | − | 1.06654i | ||||
\(646\) | −26336.2 | −1.60400 | ||||||||
\(647\) | −1136.65 | − | 4979.98i | −0.0690669 | − | 0.302602i | 0.928583 | − | 0.371126i | \(-0.121028\pi\) |
−0.997649 | + | 0.0685240i | \(0.978171\pi\) | |||||||
\(648\) | −14749.1 | − | 13685.1i | −0.894132 | − | 0.829633i | ||||
\(649\) | −21626.1 | + | 10414.6i | −1.30801 | + | 0.629904i | ||||
\(650\) | −6184.85 | + | 932.216i | −0.373215 | + | 0.0562531i | ||||
\(651\) | 7888.92 | − | 13664.0i | 0.474948 | − | 0.822634i | ||||
\(652\) | −2034.10 | − | 3523.16i | −0.122180 | − | 0.211622i | ||||
\(653\) | −4406.46 | − | 5525.52i | −0.264070 | − | 0.331134i | 0.632064 | − | 0.774916i | \(-0.282208\pi\) |
−0.896135 | + | 0.443782i | \(0.853636\pi\) | |||||||
\(654\) | −212.839 | − | 2840.14i | −0.0127258 | − | 0.169814i | ||||
\(655\) | 13065.5 | + | 33290.4i | 0.779409 | + | 1.98590i | ||||
\(656\) | 771.676 | + | 371.619i | 0.0459282 | + | 0.0221178i | ||||
\(657\) | −4158.36 | − | 1282.68i | −0.246930 | − | 0.0761678i | ||||
\(658\) | 7140.92 | − | 18194.8i | 0.423073 | − | 1.07797i | ||||
\(659\) | 3409.73 | − | 3163.77i | 0.201554 | − | 0.187015i | −0.572937 | − | 0.819599i | \(-0.694196\pi\) |
0.774492 | + | 0.632584i | \(0.218006\pi\) | |||||||
\(660\) | −3366.30 | − | 2295.10i | −0.198535 | − | 0.135359i | ||||
\(661\) | 16603.5 | − | 20820.1i | 0.977004 | − | 1.22512i | 0.00267426 | − | 0.999996i | \(-0.499149\pi\) |
0.974329 | − | 0.225127i | \(-0.0722798\pi\) | |||||||
\(662\) | 2747.97 | + | 414.189i | 0.161333 | + | 0.0243171i | ||||
\(663\) | −12410.3 | + | 3828.07i | −0.726962 | + | 0.224238i | ||||
\(664\) | 107.278 | − | 1431.53i | 0.00626989 | − | 0.0836659i | ||||
\(665\) | −34115.9 | + | 23259.8i | −1.98941 | + | 1.35636i | ||||
\(666\) | −937.512 | + | 4107.51i | −0.0545463 | + | 0.238983i | ||||
\(667\) | −0.384329 | + | 1.68386i | −2.23108e−5 | + | 9.77499e-5i | ||||
\(668\) | 3141.52 | − | 2141.85i | 0.181959 | − | 0.124058i | ||||
\(669\) | −2765.39 | + | 36901.5i | −0.159815 | + | 2.13258i | ||||
\(670\) | −6205.44 | + | 1914.12i | −0.357816 | + | 0.110372i | ||||
\(671\) | −14980.4 | − | 2257.93i | −0.861863 | − | 0.129905i | ||||
\(672\) | −3367.87 | + | 4223.17i | −0.193331 | + | 0.242429i | ||||
\(673\) | 14580.4 | + | 9940.72i | 0.835114 | + | 0.569371i | 0.903647 | − | 0.428278i | \(-0.140880\pi\) |
−0.0685332 | + | 0.997649i | \(0.521832\pi\) | |||||||
\(674\) | −796.758 | + | 739.283i | −0.0455341 | + | 0.0422495i | ||||
\(675\) | −2965.40 | + | 7555.72i | −0.169094 | + | 0.430844i | ||||
\(676\) | 938.606 | + | 289.522i | 0.0534027 | + | 0.0164726i | ||||
\(677\) | −2195.60 | − | 1057.35i | −0.124644 | − | 0.0600253i | 0.370523 | − | 0.928823i | \(-0.379179\pi\) |
−0.495166 | + | 0.868798i | \(0.664893\pi\) | |||||||
\(678\) | 3342.46 | + | 8516.45i | 0.189331 | + | 0.482407i | ||||
\(679\) | −1104.77 | − | 14742.1i | −0.0624407 | − | 0.833213i | ||||
\(680\) | 12933.4 | + | 16218.0i | 0.729372 | + | 0.914604i | ||||
\(681\) | 1405.29 | + | 2434.04i | 0.0790762 | + | 0.136964i | ||||
\(682\) | −8953.13 | + | 15507.3i | −0.502688 | + | 0.870680i | ||||
\(683\) | −30179.3 | + | 4548.79i | −1.69074 | + | 0.254838i | −0.922688 | − | 0.385547i | \(-0.874013\pi\) |
−0.768054 | + | 0.640385i | \(0.778775\pi\) | |||||||
\(684\) | 834.476 | − | 401.862i | 0.0466476 | − | 0.0224643i | ||||
\(685\) | −26199.6 | − | 24309.7i | −1.46137 | − | 1.35595i | ||||
\(686\) | −3667.28 | − | 16067.4i | −0.204107 | − | 0.894250i | ||||
\(687\) | −6807.51 | −0.378053 | ||||||||
\(688\) | 11261.6 | + | 10088.7i | 0.624048 | + | 0.559053i | ||||
\(689\) | 13996.8 | 0.773927 | ||||||||
\(690\) | −1665.64 | − | 7297.62i | −0.0918980 | − | 0.402632i | ||||
\(691\) | 2572.22 | + | 2386.67i | 0.141609 | + | 0.131394i | 0.747797 | − | 0.663927i | \(-0.231112\pi\) |
−0.606188 | + | 0.795321i | \(0.707302\pi\) | |||||||
\(692\) | 1861.68 | − | 896.537i | 0.102269 | − | 0.0492503i | ||||
\(693\) | 4320.85 | − | 651.264i | 0.236848 | − | 0.0356991i | ||||
\(694\) | 4107.05 | − | 7113.62i | 0.224642 | − | 0.389091i | ||||
\(695\) | −6445.83 | − | 11164.5i | −0.351805 | − | 0.609344i | ||||
\(696\) | −3.99532 | − | 5.00998i | −0.000217590 | − | 0.000272849i | ||||
\(697\) | −74.9685 | − | 1000.39i | −0.00407408 | − | 0.0543648i | ||||
\(698\) | −11579.3 | − | 29503.5i | −0.627912 | − | 1.59989i | ||||
\(699\) | −6836.77 | − | 3292.41i | −0.369943 | − | 0.178155i | ||||
\(700\) | 1327.37 | + | 409.438i | 0.0716710 | + | 0.0221076i | ||||
\(701\) | 749.608 | − | 1909.97i | 0.0403884 | − | 0.102908i | −0.909256 | − | 0.416237i | \(-0.863349\pi\) |
0.949645 | + | 0.313328i | \(0.101444\pi\) | |||||||
\(702\) | 8699.66 | − | 8072.11i | 0.467732 | − | 0.433992i | ||||
\(703\) | 41745.9 | + | 28461.9i | 2.23965 | + | 1.52697i | ||||
\(704\) | 16093.4 | − | 20180.5i | 0.861568 | − | 1.08037i | ||||
\(705\) | 30845.6 | + | 4649.22i | 1.64782 | + | 0.248369i | ||||
\(706\) | 5856.06 | − | 1806.35i | 0.312175 | − | 0.0962932i | ||||
\(707\) | −811.412 | + | 10827.5i | −0.0431631 | + | 0.575971i | ||||
\(708\) | −2781.80 | + | 1896.60i | −0.147665 | + | 0.100676i | ||||
\(709\) | −577.487 | + | 2530.13i | −0.0305895 | + | 0.134021i | −0.987917 | − | 0.154984i | \(-0.950467\pi\) |
0.957327 | + | 0.289005i | \(0.0933246\pi\) | |||||||
\(710\) | 3341.11 | − | 14638.4i | 0.176605 | − | 0.773758i | ||||
\(711\) | 4444.37 | − | 3030.12i | 0.234426 | − | 0.159829i | ||||
\(712\) | −2455.70 | + | 32769.0i | −0.129257 | + | 1.72482i | ||||
\(713\) | 5202.58 | − | 1604.78i | 0.273265 | − | 0.0842911i | ||||
\(714\) | −17233.4 | − | 2597.52i | −0.903284 | − | 0.136148i | ||||
\(715\) | 14407.9 | − | 18067.0i | 0.753603 | − | 0.944988i | ||||
\(716\) | 1230.38 | + | 838.860i | 0.0642200 | + | 0.0437845i | ||||
\(717\) | −15317.5 | + | 14212.5i | −0.797825 | + | 0.740274i | ||||
\(718\) | −1701.48 | + | 4335.29i | −0.0884380 | + | 0.225336i | ||||
\(719\) | 8586.83 | + | 2648.69i | 0.445389 | + | 0.137384i | 0.509334 | − | 0.860569i | \(-0.329892\pi\) |
−0.0639445 | + | 0.997953i | \(0.520368\pi\) | |||||||
\(720\) | 3395.96 | + | 1635.41i | 0.175778 | + | 0.0846502i | ||||
\(721\) | 2755.92 | + | 7021.98i | 0.142352 | + | 0.362708i | ||||
\(722\) | 3672.59 | + | 49007.2i | 0.189307 | + | 2.52612i | ||||
\(723\) | −6382.26 | − | 8003.10i | −0.328297 | − | 0.411672i | ||||
\(724\) | 480.274 | + | 831.860i | 0.0246537 | + | 0.0427014i | ||||
\(725\) | −1.54542 | + | 2.67675i | −7.91663e−5 | + | 0.000137120i | ||||
\(726\) | −11359.9 | + | 1712.23i | −0.580723 | + | 0.0875299i | ||||
\(727\) | −24069.8 | + | 11591.4i | −1.22792 | + | 0.591335i | −0.931507 | − | 0.363724i | \(-0.881505\pi\) |
−0.296414 | + | 0.955060i | \(0.595791\pi\) | |||||||
\(728\) | −11973.8 | − | 11110.1i | −0.609585 | − | 0.565613i | ||||
\(729\) | −3271.11 | − | 14331.7i | −0.166190 | − | 0.728124i | ||||
\(730\) | −30882.6 | −1.56578 | ||||||||
\(731\) | 3638.30 | − | 17331.6i | 0.184087 | − | 0.876924i | ||||
\(732\) | −2124.97 | −0.107297 | ||||||||
\(733\) | 6251.79 | + | 27390.9i | 0.315027 | + | 1.38023i | 0.846157 | + | 0.532934i | \(0.178911\pi\) |
−0.531129 | + | 0.847291i | \(0.678232\pi\) | |||||||
\(734\) | −2101.67 | − | 1950.07i | −0.105687 | − | 0.0980632i | ||||
\(735\) | −460.488 | + | 221.759i | −0.0231093 | + | 0.0111289i | ||||
\(736\) | −1843.12 | + | 277.806i | −0.0923077 | + | 0.0139131i | ||||
\(737\) | 4120.76 | − | 7137.37i | 0.205957 | − | 0.356728i | ||||
\(738\) | −106.590 | − | 184.619i | −0.00531657 | − | 0.00920856i | ||||
\(739\) | −16687.3 | − | 20925.2i | −0.830651 | − | 1.04160i | −0.998443 | − | 0.0557806i | \(-0.982235\pi\) |
0.167792 | − | 0.985822i | \(-0.446336\pi\) | |||||||
\(740\) | −369.782 | − | 4934.40i | −0.0183696 | − | 0.245125i | ||||
\(741\) | 12091.5 | + | 30808.7i | 0.599451 | + | 1.52738i | ||||
\(742\) | 16922.7 | + | 8149.55i | 0.837267 | + | 0.403207i | ||||
\(743\) | −14800.2 | − | 4565.24i | −0.730774 | − | 0.225414i | −0.0930311 | − | 0.995663i | \(-0.529656\pi\) |
−0.637743 | + | 0.770249i | \(0.720132\pi\) | |||||||
\(744\) | −7379.78 | + | 18803.4i | −0.363650 | + | 0.926565i | ||||
\(745\) | 22445.3 | − | 20826.2i | 1.10380 | − | 1.02418i | ||||
\(746\) | 337.261 | + | 229.941i | 0.0165523 | + | 0.0112852i | ||||
\(747\) | −190.491 | + | 238.868i | −0.00933025 | + | 0.0116998i | ||||
\(748\) | −3236.81 | − | 487.870i | −0.158221 | − | 0.0238480i | ||||
\(749\) | −20498.8 | + | 6323.05i | −1.00001 | + | 0.308463i | ||||
\(750\) | −912.108 | + | 12171.2i | −0.0444073 | + | 0.592574i | ||||
\(751\) | 12247.6 | − | 8350.28i | 0.595102 | − | 0.405734i | −0.227972 | − | 0.973668i | \(-0.573209\pi\) |
0.823074 | + | 0.567934i | \(0.192257\pi\) | |||||||
\(752\) | −4761.36 | + | 20860.9i | −0.230889 | + | 1.01159i | ||||
\(753\) | 6392.76 | − | 28008.5i | 0.309383 | − | 1.35549i | ||||
\(754\) | 3.73393 | − | 2.54575i | 0.000180347 | − | 0.000122958i | ||||
\(755\) | 470.947 | − | 6284.35i | 0.0227013 | − | 0.302928i | ||||
\(756\) | −2518.55 | + | 776.871i | −0.121163 | + | 0.0373737i | ||||
\(757\) | −2564.71 | − | 386.567i | −0.123139 | − | 0.0185601i | 0.0871838 | − | 0.996192i | \(-0.472213\pi\) |
−0.210322 | + | 0.977632i | \(0.567451\pi\) | |||||||
\(758\) | 14394.9 | − | 18050.6i | 0.689771 | − | 0.864945i | ||||
\(759\) | 7848.98 | + | 5351.35i | 0.375362 | + | 0.255918i | ||||
\(760\) | 38751.0 | − | 35955.6i | 1.84953 | − | 1.71612i | ||||
\(761\) | 12146.6 | − | 30949.1i | 0.578601 | − | 1.47425i | −0.279181 | − | 0.960239i | \(-0.590063\pi\) |
0.857782 | − | 0.514013i | \(-0.171842\pi\) | |||||||
\(762\) | 25656.8 | + | 7914.06i | 1.21975 | + | 0.376242i | ||||
\(763\) | −3232.29 | − | 1556.59i | −0.153364 | − | 0.0738562i | ||||
\(764\) | 1307.84 | + | 3332.31i | 0.0619317 | + | 0.157799i | ||||
\(765\) | −329.919 | − | 4402.46i | −0.0155925 | − | 0.208067i | ||||
\(766\) | 10193.6 | + | 12782.3i | 0.480821 | + | 0.602931i | ||||
\(767\) | −9548.08 | − | 16537.8i | −0.449493 | − | 0.778545i | ||||
\(768\) | 4838.07 | − | 8379.78i | 0.227316 | − | 0.393723i | ||||
\(769\) | 19363.8 | − | 2918.62i | 0.908032 | − | 0.136864i | 0.321613 | − | 0.946871i | \(-0.395775\pi\) |
0.586420 | + | 0.810007i | \(0.300537\pi\) | |||||||
\(770\) | 27939.2 | − | 13454.8i | 1.30761 | − | 0.629711i | ||||
\(771\) | −18233.6 | − | 16918.3i | −0.851710 | − | 0.790271i | ||||
\(772\) | −560.047 | − | 2453.73i | −0.0261095 | − | 0.114393i | ||||
\(773\) | −11570.7 | −0.538380 | −0.269190 | − | 0.963087i | \(-0.586756\pi\) | ||||
−0.269190 | + | 0.963087i | \(0.586756\pi\) | |||||||
\(774\) | −901.409 | − | 3653.71i | −0.0418611 | − | 0.169677i | ||||
\(775\) | 9743.15 | 0.451593 | ||||||||
\(776\) | 4211.58 | + | 18452.1i | 0.194828 | + | 0.853599i | ||||
\(777\) | 24509.8 | + | 22741.7i | 1.13164 | + | 1.05001i | ||||
\(778\) | −23245.8 | + | 11194.6i | −1.07121 | + | 0.515867i | ||||
\(779\) | −2527.96 | + | 381.028i | −0.116269 | + | 0.0175247i | ||||
\(780\) | 1620.67 | − | 2807.09i | 0.0743966 | − | 0.128859i | ||||
\(781\) | 9527.71 | + | 16502.5i | 0.436528 | + | 0.756089i | ||||
\(782\) | −3749.61 | − | 4701.86i | −0.171465 | − | 0.215010i | ||||
\(783\) | −0.438262 | − | 5.84820i | −2.00028e−5 | − | 0.000266919i | ||||
\(784\) | −128.084 | − | 326.354i | −0.00583475 | − | 0.0148667i | ||||
\(785\) | −34587.5 | − | 16656.4i | −1.57259 | − | 0.757317i | ||||
\(786\) | 36758.3 | + | 11338.4i | 1.66810 | + | 0.514540i | ||||
\(787\) | −1497.98 | + | 3816.78i | −0.0678489 | + | 0.172876i | −0.960776 | − | 0.277324i | \(-0.910552\pi\) |
0.892927 | + | 0.450201i | \(0.148648\pi\) | |||||||
\(788\) | −1313.98 | + | 1219.20i | −0.0594018 | + | 0.0551168i | ||||
\(789\) | −25163.4 | − | 17156.1i | −1.13541 | − | 0.774113i | ||||
\(790\) | 23800.7 | − | 29845.2i | 1.07189 | − | 1.34411i | ||||
\(791\) | 11395.5 | + | 1717.60i | 0.512236 | + | 0.0772071i | ||||
\(792\) | −5345.74 | + | 1648.94i | −0.239839 | + | 0.0739806i | ||||
\(793\) | 900.686 | − | 12018.8i | 0.0403333 | − | 0.538210i | ||||
\(794\) | −7034.91 | + | 4796.32i | −0.314433 | + | 0.214377i | ||||
\(795\) | −6670.32 | + | 29224.6i | −0.297575 | + | 1.30376i | ||||
\(796\) | −650.540 | + | 2850.20i | −0.0289671 | + | 0.126913i | ||||
\(797\) | 3112.94 | − | 2122.37i | 0.138352 | − | 0.0943265i | −0.492166 | − | 0.870501i | \(-0.663795\pi\) |
0.630518 | + | 0.776175i | \(0.282843\pi\) | |||||||
\(798\) | −3319.02 | + | 44289.2i | −0.147233 | + | 1.96469i | ||||
\(799\) | 23948.7 | − | 7387.20i | 1.06038 | − | 0.327084i | ||||
\(800\) | −3298.37 | − | 497.150i | −0.145769 | − | 0.0219711i | ||||
\(801\) | 4360.50 | − | 5467.90i | 0.192348 | − | 0.241197i | ||||
\(802\) | −8106.24 | − | 5526.74i | −0.356909 | − | 0.243337i | ||||
\(803\) | 28730.8 | − | 26658.3i | 1.26263 | − | 1.17155i | ||||
\(804\) | 422.336 | − | 1076.10i | 0.0185257 | − | 0.0472027i | ||||
\(805\) | −9009.85 | − | 2779.17i | −0.394479 | − | 0.121681i | ||||
\(806\) | −12834.9 | − | 6180.96i | −0.560905 | − | 0.270118i | ||||
\(807\) | −1374.94 | − | 3503.29i | −0.0599755 | − | 0.152815i | ||||
\(808\) | −1038.82 | − | 13862.0i | −0.0452295 | − | 0.603545i | ||||
\(809\) | −7849.79 | − | 9843.32i | −0.341142 | − | 0.427778i | 0.581434 | − | 0.813593i | \(-0.302492\pi\) |
−0.922576 | + | 0.385815i | \(0.873920\pi\) | |||||||
\(810\) | 15194.4 | + | 26317.5i | 0.659108 | + | 1.14161i | ||||
\(811\) | −14385.6 | + | 24916.6i | −0.622869 | + | 1.07884i | 0.366080 | + | 0.930584i | \(0.380700\pi\) |
−0.988949 | + | 0.148257i | \(0.952634\pi\) | |||||||
\(812\) | −0.992435 | + | 0.149585i | −4.28912e−5 | + | 6.46480e-6i | ||||
\(813\) | −2244.84 | + | 1081.06i | −0.0968389 | + | 0.0466352i | ||||
\(814\) | −27816.1 | − | 25809.5i | −1.19773 | − | 1.11133i | ||||
\(815\) | 10996.3 | + | 48177.8i | 0.472616 | + | 2.07067i | ||||
\(816\) | 19078.9 | 0.818500 | ||||||||
\(817\) | −44736.9 | − | 5945.21i | −1.91572 | − | 0.254586i | ||||
\(818\) | 5197.94 | 0.222178 | ||||||||
\(819\) | 773.563 | + | 3389.20i | 0.0330043 | + | 0.144601i | ||||
\(820\) | 183.538 | + | 170.298i | 0.00781636 | + | 0.00725252i | ||||
\(821\) | −4185.18 | + | 2015.48i | −0.177910 | + | 0.0856767i | −0.520719 | − | 0.853728i | \(-0.674336\pi\) |
0.342809 | + | 0.939405i | \(0.388622\pi\) | |||||||
\(822\) | −38014.2 | + | 5729.71i | −1.61301 | + | 0.243123i | ||||
\(823\) | 8054.93 | − | 13951.6i | 0.341163 | − | 0.590912i | −0.643486 | − | 0.765458i | \(-0.722512\pi\) |
0.984649 | + | 0.174546i | \(0.0558458\pi\) | |||||||
\(824\) | −4828.76 | − | 8363.66i | −0.204148 | − | 0.353595i | ||||
\(825\) | 10599.4 | + | 13291.2i | 0.447302 | + | 0.560899i | ||||
\(826\) | −1915.02 | − | 25554.2i | −0.0806683 | − | 1.07644i | ||||
\(827\) | −5964.84 | − | 15198.2i | −0.250808 | − | 0.639047i | 0.748913 | − | 0.662668i | \(-0.230576\pi\) |
−0.999721 | + | 0.0236205i | \(0.992481\pi\) | |||||||
\(828\) | 190.553 | + | 91.7657i | 0.00799781 | + | 0.00385154i | ||||
\(829\) | 30052.1 | + | 9269.84i | 1.25905 | + | 0.388365i | 0.851276 | − | 0.524718i | \(-0.175829\pi\) |
0.407773 | + | 0.913083i | \(0.366305\pi\) | |||||||
\(830\) | −792.136 | + | 2018.33i | −0.0331270 | + | 0.0844063i | ||||
\(831\) | −13985.6 | + | 12976.7i | −0.583819 | + | 0.541705i | ||||
\(832\) | 16966.9 | + | 11567.8i | 0.706997 | + | 0.482022i | ||||
\(833\) | −256.027 | + | 321.047i | −0.0106492 | + | 0.0133537i | ||||
\(834\) | −13711.8 | − | 2066.72i | −0.569305 | − | 0.0858090i | ||||
\(835\) | −44133.6 | + | 13613.4i | −1.82911 | + | 0.564206i | ||||
\(836\) | −623.383 | + | 8318.46i | −0.0257896 | + | 0.344139i | ||||
\(837\) | −15274.5 | + | 10414.0i | −0.630780 | + | 0.430058i | ||||
\(838\) | −634.930 | + | 2781.81i | −0.0261734 | + | 0.114673i | ||||
\(839\) | −448.844 | + | 1966.51i | −0.0184694 | + | 0.0809196i | −0.983323 | − | 0.181869i | \(-0.941785\pi\) |
0.964853 | + | 0.262789i | \(0.0846423\pi\) | |||||||
\(840\) | 28903.4 | − | 19706.0i | 1.18722 | − | 0.809432i | ||||
\(841\) | −1822.59 | + | 24320.8i | −0.0747301 | + | 0.997204i | ||||
\(842\) | −22427.0 | + | 6917.82i | −0.917918 | + | 0.283140i | ||||
\(843\) | 7050.75 | + | 1062.73i | 0.288067 | + | 0.0434191i | ||||
\(844\) | 3186.36 | − | 3995.57i | 0.129952 | − | 0.162954i | ||||
\(845\) | −9858.19 | − | 6721.20i | −0.401340 | − | 0.273629i | ||||
\(846\) | 3904.05 | − | 3622.43i | 0.158657 | − | 0.147212i | ||||
\(847\) | −5286.83 | + | 13470.6i | −0.214472 | + | 0.546465i | ||||
\(848\) | −19648.5 | − | 6060.75i | −0.795673 | − | 0.245433i | ||||
\(849\) | 23797.6 | + | 11460.3i | 0.961994 | + | 0.463272i | ||||
\(850\) | −3931.87 | − | 10018.3i | −0.158661 | − | 0.404263i | ||||
\(851\) | 862.197 | + | 11505.2i | 0.0347306 | + | 0.463448i | ||||
\(852\) | 1666.48 | + | 2089.70i | 0.0670103 | + | 0.0840282i | ||||
\(853\) | 20599.9 | + | 35680.1i | 0.826880 | + | 1.43220i | 0.900474 | + | 0.434910i | \(0.143220\pi\) |
−0.0735942 | + | 0.997288i | \(0.523447\pi\) | |||||||
\(854\) | 8086.85 | − | 14006.8i | 0.324035 | − | 0.561246i | ||||
\(855\) | −11124.9 | + | 1676.82i | −0.444989 | + | 0.0670712i | ||||
\(856\) | 24744.1 | − | 11916.1i | 0.988009 | − | 0.475800i | ||||
\(857\) | −26020.3 | − | 24143.3i | −1.03715 | − | 0.962333i | −0.0378308 | − | 0.999284i | \(-0.512045\pi\) |
−0.999317 | + | 0.0369516i | \(0.988235\pi\) | |||||||
\(858\) | −5531.03 | − | 24233.0i | −0.220077 | − | 0.964222i | ||||
\(859\) | −40702.2 | −1.61669 | −0.808347 | − | 0.588707i | \(-0.799637\pi\) | ||||
−0.808347 | + | 0.588707i | \(0.799637\pi\) | |||||||
\(860\) | 2276.51 | + | 3788.50i | 0.0902653 | + | 0.150217i | ||||
\(861\) | −1691.78 | −0.0669637 | ||||||||
\(862\) | 5154.17 | + | 22581.9i | 0.203656 | + | 0.892276i | ||||
\(863\) | 6646.98 | + | 6167.50i | 0.262185 | + | 0.243272i | 0.800301 | − | 0.599599i | \(-0.204673\pi\) |
−0.538115 | + | 0.842871i | \(0.680864\pi\) | |||||||
\(864\) | 5702.28 | − | 2746.07i | 0.224532 | − | 0.108129i | ||||
\(865\) | −24819.3 | + | 3740.90i | −0.975584 | + | 0.147046i | ||||
\(866\) | 2381.67 | − | 4125.17i | 0.0934554 | − | 0.161870i | ||||
\(867\) | 2743.17 | + | 4751.31i | 0.107454 | + | 0.186116i | ||||
\(868\) | 1972.57 | + | 2473.52i | 0.0771351 | + | 0.0967243i | ||||
\(869\) | 3620.39 | + | 48310.7i | 0.141327 | + | 1.88588i | ||||
\(870\) | 3.53595 | + | 9.00945i | 0.000137793 | + | 0.000351091i | ||||
\(871\) | 5907.38 | + | 2844.84i | 0.229809 | + | 0.110670i | ||||
\(872\) | 4388.96 | + | 1353.81i | 0.170446 | + | 0.0525756i | ||||
\(873\) | 1471.64 | − | 3749.67i | 0.0570531 | − | 0.145369i | ||||
\(874\) | −11234.5 | + | 10424.1i | −0.434799 | + | 0.403434i | ||||
\(875\) | 12702.8 | + | 8660.65i | 0.490782 | + | 0.334610i | ||||
\(876\) | 3427.64 | − | 4298.12i | 0.132202 | − | 0.165776i | ||||
\(877\) | −8197.42 | − | 1235.56i | −0.315630 | − | 0.0475735i | −0.0106829 | − | 0.999943i | \(-0.503401\pi\) |
−0.304947 | + | 0.952369i | \(0.598639\pi\) | |||||||
\(878\) | −11622.0 | + | 3584.90i | −0.446722 | + | 0.137795i | ||||
\(879\) | −3305.03 | + | 44102.6i | −0.126821 | + | 1.69231i | ||||
\(880\) | −28048.8 | + | 19123.3i | −1.07446 | + | 0.732554i | ||||
\(881\) | 9160.28 | − | 40133.8i | 0.350304 | − | 1.53478i | −0.426177 | − | 0.904640i | \(-0.640140\pi\) |
0.776481 | − | 0.630141i | \(-0.217003\pi\) | |||||||
\(882\) | −19.4173 | + | 85.0728i | −0.000741287 | + | 0.00324779i | ||||
\(883\) | −24756.7 | + | 16878.8i | −0.943522 | + | 0.643282i | −0.934229 | − | 0.356675i | \(-0.883911\pi\) |
−0.00929312 | + | 0.999957i | \(0.502958\pi\) | |||||||
\(884\) | 194.611 | − | 2596.91i | 0.00740439 | − | 0.0988048i | ||||
\(885\) | 39080.2 | − | 12054.6i | 1.48437 | − | 0.457867i | ||||
\(886\) | 17445.6 | + | 2629.50i | 0.661509 | + | 0.0997064i | ||||
\(887\) | −5712.96 | + | 7163.82i | −0.216260 | + | 0.271181i | −0.878114 | − | 0.478451i | \(-0.841198\pi\) |
0.661854 | + | 0.749632i | \(0.269770\pi\) | |||||||
\(888\) | −35367.7 | − | 24113.3i | −1.33656 | − | 0.911249i | ||||
\(889\) | 24792.3 | − | 23003.9i | 0.935330 | − | 0.867859i | ||||
\(890\) | 18132.7 | − | 46201.3i | 0.682932 | − | 1.74008i | ||||
\(891\) | −36853.3 | − | 11367.7i | −1.38567 | − | 0.427423i | ||||
\(892\) | −6685.35 | − | 3219.50i | −0.250944 | − | 0.120848i | ||||
\(893\) | −23333.6 | − | 59453.0i | −0.874388 | − | 2.22790i | ||||
\(894\) | −2461.21 | − | 32842.6i | −0.0920752 | − | 1.22866i | ||||
\(895\) | −11278.1 | − | 14142.3i | −0.421213 | − | 0.528184i | ||||
\(896\) | 9964.46 | + | 17258.9i | 0.371528 | + | 0.643505i | ||||
\(897\) | −3778.81 | + | 6545.10i | −0.140659 | + | 0.243628i | ||||
\(898\) | 18426.5 | − | 2777.34i | 0.684743 | − | 0.103208i | ||||
\(899\) | −6.34253 | + | 3.05440i | −0.000235301 | + | 0.000113315i | ||||
\(900\) | 277.451 | + | 257.437i | 0.0102760 | + | 0.00953470i | ||||
\(901\) | 5359.12 | + | 23479.9i | 0.198156 | + | 0.868177i | ||||
\(902\) | 1920.00 | 0.0708747 | ||||||||
\(903\) | −28687.7 | − | 8302.68i | −1.05722 | − | 0.305976i | ||||
\(904\) | −14754.0 | −0.542821 | ||||||||
\(905\) | −2596.34 | − | 11375.3i | −0.0953651 | − | 0.417822i | ||||
\(906\) | −4969.06 | − | 4610.61i | −0.182214 | − | 0.169070i | ||||
\(907\) | −4713.83 | + | 2270.06i | −0.172569 | + | 0.0831048i | −0.518174 | − | 0.855275i | \(-0.673388\pi\) |
0.345605 | + | 0.938380i | \(0.387674\pi\) | |||||||
\(908\) | −557.279 | + | 83.9963i | −0.0203678 | + | 0.00306995i | ||||
\(909\) | −1479.25 | + | 2562.13i | −0.0539753 | + | 0.0934880i | ||||
\(910\) | 12335.4 | + | 21365.5i | 0.449355 | + | 0.778305i | ||||
\(911\) | 5100.09 | + | 6395.31i | 0.185481 | + | 0.232586i | 0.865875 | − | 0.500261i | \(-0.166762\pi\) |
−0.680393 | + | 0.732847i | \(0.738191\pi\) | |||||||
\(912\) | −3633.41 | − | 48484.5i | −0.131923 | − | 1.76040i | ||||
\(913\) | −1005.31 | − | 2561.48i | −0.0364412 | − | 0.0928506i | ||||
\(914\) | 6206.19 | + | 2988.74i | 0.224598 | + | 0.108161i | ||||
\(915\) | 24665.4 | + | 7608.28i | 0.891163 | + | 0.274887i | ||||
\(916\) | 498.702 | − | 1270.67i | 0.0179886 | − | 0.0458343i | ||||
\(917\) | 35519.9 | − | 32957.6i | 1.27914 | − | 1.18687i | ||||
\(918\) | 16872.0 | + | 11503.2i | 0.606602 | + | 0.413574i | ||||
\(919\) | 20206.2 | − | 25337.8i | 0.725291 | − | 0.909486i | −0.273334 | − | 0.961919i | \(-0.588126\pi\) |
0.998624 | + | 0.0524337i | \(0.0166978\pi\) | |||||||
\(920\) | 11936.4 | + | 1799.12i | 0.427751 | + | 0.0644731i | ||||
\(921\) | 49316.5 | − | 15212.1i | 1.76442 | − | 0.544252i | ||||
\(922\) | −1944.12 | + | 25942.5i | −0.0694427 | + | 0.926648i | ||||
\(923\) | −12525.7 | + | 8539.88i | −0.446683 | + | 0.304543i | ||||
\(924\) | −1228.36 | + | 5381.80i | −0.0437339 | + | 0.191611i | ||||
\(925\) | −4594.38 | + | 20129.3i | −0.163311 | + | 0.715510i | ||||
\(926\) | 3048.78 | − | 2078.62i | 0.108196 | − | 0.0737665i | ||||
\(927\) | −153.599 | + | 2049.64i | −0.00544214 | + | 0.0726203i | ||||
\(928\) | 2.30300 | − | 0.710383i | 8.14653e−5 | − | 2.51287e-5i | ||||
\(929\) | −27779.9 | − | 4187.15i | −0.981087 | − | 0.147875i | −0.361134 | − | 0.932514i | \(-0.617610\pi\) |
−0.619953 | + | 0.784639i | \(0.712848\pi\) | |||||||
\(930\) | 19022.1 | − | 23853.0i | 0.670709 | − | 0.841043i | ||||
\(931\) | 864.621 | + | 589.489i | 0.0304370 | + | 0.0207516i | ||||
\(932\) | 1115.40 | − | 1034.94i | 0.0392018 | − | 0.0363740i | ||||
\(933\) | 11106.0 | − | 28297.5i | 0.389703 | − | 0.992946i | ||||
\(934\) | −11723.5 | − | 3616.23i | −0.410713 | − | 0.126688i | ||||
\(935\) | 35824.2 | + | 17252.0i | 1.25302 | + | 0.603424i | ||||
\(936\) | −1626.00 | − | 4142.98i | −0.0567815 | − | 0.144677i | ||||
\(937\) | 1161.83 | + | 15503.5i | 0.0405072 | + | 0.540532i | 0.980135 | + | 0.198333i | \(0.0635526\pi\) |
−0.939628 | + | 0.342199i | \(0.888828\pi\) | |||||||
\(938\) | 5485.87 | + | 6879.07i | 0.190960 | + | 0.239456i | ||||
\(939\) | −10436.9 | − | 18077.2i | −0.362721 | − | 0.628250i | ||||
\(940\) | −3127.49 | + | 5416.96i | −0.108518 | + | 0.187959i | ||||
\(941\) | −5015.43 | + | 755.955i | −0.173750 | + | 0.0261885i | −0.235341 | − | 0.971913i | \(-0.575621\pi\) |
0.0615911 | + | 0.998101i | \(0.480383\pi\) | |||||||
\(942\) | −37203.3 | + | 17916.2i | −1.28678 | + | 0.619682i | ||||
\(943\) | −427.943 | − | 397.073i | −0.0147781 | − | 0.0137121i | ||||
\(944\) | 6242.42 | + | 27349.8i | 0.215226 | + | 0.942967i | ||||
\(945\) | 32015.4 | 1.10208 | ||||||||
\(946\) | 32557.6 | + | 9422.70i | 1.11896 | + | 0.323846i | ||||
\(947\) | 21296.0 | 0.730757 | 0.365378 | − | 0.930859i | \(-0.380940\pi\) | ||||
0.365378 | + | 0.930859i | \(0.380940\pi\) | |||||||
\(948\) | 1512.11 | + | 6624.98i | 0.0518049 | + | 0.226972i | ||||
\(949\) | 22857.3 | + | 21208.5i | 0.781855 | + | 0.725455i | ||||
\(950\) | −24710.2 | + | 11899.8i | −0.843898 | + | 0.406400i | ||||
\(951\) | 25350.1 | − | 3820.91i | 0.864387 | − | 0.130285i | ||||
\(952\) | 14052.7 | − | 24340.1i | 0.478416 | − | 0.828641i | ||||
\(953\) | 24237.9 | + | 41981.2i | 0.823863 | + | 1.42697i | 0.902785 | + | 0.430092i | \(0.141519\pi\) |
−0.0789215 | + | 0.996881i | \(0.525148\pi\) | |||||||
\(954\) | 3190.91 | + | 4001.28i | 0.108291 | + | 0.135793i | ||||
\(955\) | −3249.54 | − | 43362.1i | −0.110108 | − | 1.46928i | ||||
\(956\) | −1530.75 | − | 3900.29i | −0.0517866 | − | 0.131950i | ||||
\(957\) | −11.0666 | − | 5.32941i | −0.000373807 | − | 0.000180016i | ||||
\(958\) | −14329.8 | − | 4420.16i | −0.483272 | − | 0.149070i | ||||
\(959\) | −17691.6 | + | 45077.4i | −0.595715 | + | 1.51786i | ||||
\(960\) | −32238.8 | + | 29913.2i | −1.08386 | + | 1.00567i | ||||
\(961\) | −6279.50 | − | 4281.29i | −0.210785 | − | 0.143711i | ||||
\(962\) | 18822.1 | − | 23602.2i | 0.630820 | − | 0.791024i | ||||
\(963\) | −5779.79 | − | 871.163i | −0.193407 | − | 0.0291514i | ||||
\(964\) | 1961.39 | − | 605.008i | 0.0655311 | − | 0.0202137i | ||||
\(965\) | −2284.66 | + | 30486.6i | −0.0762132 | + | 1.01699i | ||||
\(966\) | −8379.59 | + | 5713.10i | −0.279098 | + | 0.190286i | ||||
\(967\) | −6163.08 | + | 27002.2i | −0.204955 | + | 0.897966i | 0.762912 | + | 0.646502i | \(0.223769\pi\) |
−0.967867 | + | 0.251463i | \(0.919088\pi\) | |||||||
\(968\) | 4122.54 | − | 18062.0i | 0.136884 | − | 0.599727i | ||||
\(969\) | −47052.5 | + | 32079.8i | −1.55990 | + | 1.06352i | ||||
\(970\) | 2136.26 | − | 28506.4i | 0.0707125 | − | 0.943593i | ||||
\(971\) | 15783.1 | − | 4868.44i | 0.521631 | − | 0.160902i | −0.0227478 | − | 0.999741i | \(-0.507241\pi\) |
0.544379 | + | 0.838839i | \(0.316765\pi\) | |||||||
\(972\) | −1585.39 | − | 238.959i | −0.0523162 | − | 0.00788540i | ||||
\(973\) | −10890.5 | + | 13656.2i | −0.358820 | + | 0.449947i | ||||
\(974\) | 13342.7 | + | 9096.89i | 0.438940 | + | 0.299264i | ||||
\(975\) | −9914.37 | + | 9199.19i | −0.325655 | + | 0.302164i | ||||
\(976\) | −6468.63 | + | 16481.8i | −0.212147 | + | 0.540543i | ||||
\(977\) | −27211.1 | − | 8393.52i | −0.891055 | − | 0.274854i | −0.184770 | − | 0.982782i | \(-0.559154\pi\) |
−0.706285 | + | 0.707928i | \(0.749630\pi\) | |||||||
\(978\) | 47890.2 | + | 23062.7i | 1.56581 | + | 0.754054i | ||||
\(979\) | 23012.4 | + | 58634.5i | 0.751254 | + | 1.91416i | ||||
\(980\) | −7.65876 | − | 102.199i | −0.000249643 | − | 0.00333125i | ||||
\(981\) | −609.474 | − | 764.256i | −0.0198359 | − | 0.0248734i | ||||
\(982\) | −13802.5 | − | 23906.7i | −0.448530 | − | 0.776876i | ||||
\(983\) | 5549.55 | − | 9612.09i | 0.180064 | − | 0.311880i | −0.761838 | − | 0.647768i | \(-0.775703\pi\) |
0.941902 | + | 0.335887i | \(0.109036\pi\) | |||||||
\(984\) | 2141.72 | − | 322.813i | 0.0693858 | − | 0.0104582i | ||||
\(985\) | 19617.1 | − | 9447.12i | 0.634573 | − | 0.305594i | ||||
\(986\) | 5.70019 | + | 5.28900i | 0.000184109 | + | 0.000170828i | ||||
\(987\) | −9404.81 | − | 41205.1i | −0.303301 | − | 1.32885i | ||||
\(988\) | −6636.47 | −0.213698 | ||||||||
\(989\) | −5307.98 | − | 8833.41i | −0.170661 | − | 0.284010i | ||||
\(990\) | 8449.46 | 0.271254 | ||||||||
\(991\) | −9464.88 | − | 41468.3i | −0.303392 | − | 1.32925i | −0.864970 | − | 0.501824i | \(-0.832662\pi\) |
0.561577 | − | 0.827424i | \(-0.310195\pi\) | |||||||
\(992\) | −5569.14 | − | 5167.40i | −0.178246 | − | 0.165388i | ||||
\(993\) | 5414.05 | − | 2607.27i | 0.173021 | − | 0.0833225i | ||||
\(994\) | −20116.4 | + | 3032.06i | −0.641904 | + | 0.0967515i | ||||
\(995\) | 17756.0 | − | 30754.3i | 0.565732 | − | 0.979877i | ||||
\(996\) | −192.985 | − | 334.259i | −0.00613951 | − | 0.0106339i | ||||
\(997\) | −22898.6 | − | 28714.0i | −0.727389 | − | 0.912116i | 0.271342 | − | 0.962483i | \(-0.412532\pi\) |
−0.998731 | + | 0.0503666i | \(0.983961\pi\) | |||||||
\(998\) | 322.124 | + | 4298.45i | 0.0102171 | + | 0.136338i | ||||
\(999\) | −14312.5 | − | 36467.6i | −0.453281 | − | 1.15494i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.4.g.a.10.4 | ✓ | 120 | |
43.13 | even | 21 | inner | 43.4.g.a.13.4 | yes | 120 | |
43.20 | odd | 42 | 1849.4.a.k.1.20 | 60 | |||
43.23 | even | 21 | 1849.4.a.l.1.41 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.4.g.a.10.4 | ✓ | 120 | 1.1 | even | 1 | trivial | |
43.4.g.a.13.4 | yes | 120 | 43.13 | even | 21 | inner | |
1849.4.a.k.1.20 | 60 | 43.20 | odd | 42 | |||
1849.4.a.l.1.41 | 60 | 43.23 | even | 21 |