Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [39,4,Mod(16,39)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(39, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("39.16");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 39 = 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 39.e (of order \(3\), degree \(2\), 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: | \(2.30107449022\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{2} - x + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 16.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 39.16 |
Dual form | 39.4.e.b.22.1 |
$q$-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 \(\left(\mathbb{Z}/39\mathbb{Z}\right)^\times\).
\(n\) | \(14\) | \(28\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | 0.940775 | − | 0.339032i | \(-0.110100\pi\) |
−0.763998 | + | 0.645219i | \(0.776766\pi\) | |||||||
\(3\) | −1.50000 | − | 2.59808i | −0.288675 | − | 0.500000i | ||||
\(4\) | 3.50000 | − | 6.06218i | 0.437500 | − | 0.757772i | ||||
\(5\) | 7.00000 | 0.626099 | 0.313050 | − | 0.949737i | \(-0.398649\pi\) | ||||
0.313050 | + | 0.949737i | \(0.398649\pi\) | |||||||
\(6\) | 1.50000 | − | 2.59808i | 0.102062 | − | 0.176777i | ||||
\(7\) | 5.00000 | − | 8.66025i | 0.269975 | − | 0.467610i | −0.698880 | − | 0.715239i | \(-0.746318\pi\) |
0.968855 | + | 0.247629i | \(0.0796514\pi\) | |||||||
\(8\) | 15.0000 | 0.662913 | ||||||||
\(9\) | −4.50000 | + | 7.79423i | −0.166667 | + | 0.288675i | ||||
\(10\) | 3.50000 | + | 6.06218i | 0.110680 | + | 0.191703i | ||||
\(11\) | 11.0000 | + | 19.0526i | 0.301511 | + | 0.522233i | 0.976478 | − | 0.215615i | \(-0.0691756\pi\) |
−0.674967 | + | 0.737848i | \(0.735842\pi\) | |||||||
\(12\) | −21.0000 | −0.505181 | ||||||||
\(13\) | −45.5000 | + | 11.2583i | −0.970725 | + | 0.240192i | ||||
\(14\) | 10.0000 | 0.190901 | ||||||||
\(15\) | −10.5000 | − | 18.1865i | −0.180739 | − | 0.313050i | ||||
\(16\) | −20.5000 | − | 35.5070i | −0.320312 | − | 0.554798i | ||||
\(17\) | −18.5000 | + | 32.0429i | −0.263936 | + | 0.457150i | −0.967284 | − | 0.253695i | \(-0.918354\pi\) |
0.703348 | + | 0.710845i | \(0.251687\pi\) | |||||||
\(18\) | −9.00000 | −0.117851 | ||||||||
\(19\) | −15.0000 | + | 25.9808i | −0.181118 | + | 0.313705i | −0.942261 | − | 0.334878i | \(-0.891305\pi\) |
0.761144 | + | 0.648583i | \(0.224638\pi\) | |||||||
\(20\) | 24.5000 | − | 42.4352i | 0.273918 | − | 0.474440i | ||||
\(21\) | −30.0000 | −0.311740 | ||||||||
\(22\) | −11.0000 | + | 19.0526i | −0.106600 | + | 0.184637i | ||||
\(23\) | 81.0000 | + | 140.296i | 0.734333 | + | 1.27190i | 0.955015 | + | 0.296557i | \(0.0958384\pi\) |
−0.220682 | + | 0.975346i | \(0.570828\pi\) | |||||||
\(24\) | −22.5000 | − | 38.9711i | −0.191366 | − | 0.331456i | ||||
\(25\) | −76.0000 | −0.608000 | ||||||||
\(26\) | −32.5000 | − | 33.7750i | −0.245145 | − | 0.254762i | ||||
\(27\) | 27.0000 | 0.192450 | ||||||||
\(28\) | −35.0000 | − | 60.6218i | −0.236228 | − | 0.409159i | ||||
\(29\) | 56.5000 | + | 97.8609i | 0.361786 | + | 0.626631i | 0.988255 | − | 0.152815i | \(-0.0488339\pi\) |
−0.626469 | + | 0.779446i | \(0.715501\pi\) | |||||||
\(30\) | 10.5000 | − | 18.1865i | 0.0639010 | − | 0.110680i | ||||
\(31\) | 196.000 | 1.13557 | 0.567785 | − | 0.823177i | \(-0.307801\pi\) | ||||
0.567785 | + | 0.823177i | \(0.307801\pi\) | |||||||
\(32\) | 80.5000 | − | 139.430i | 0.444704 | − | 0.770250i | ||||
\(33\) | 33.0000 | − | 57.1577i | 0.174078 | − | 0.301511i | ||||
\(34\) | −37.0000 | −0.186631 | ||||||||
\(35\) | 35.0000 | − | 60.6218i | 0.169031 | − | 0.292770i | ||||
\(36\) | 31.5000 | + | 54.5596i | 0.145833 | + | 0.252591i | ||||
\(37\) | −6.50000 | − | 11.2583i | −0.0288809 | − | 0.0500232i | 0.851224 | − | 0.524803i | \(-0.175861\pi\) |
−0.880105 | + | 0.474780i | \(0.842528\pi\) | |||||||
\(38\) | −30.0000 | −0.128070 | ||||||||
\(39\) | 97.5000 | + | 101.325i | 0.400320 | + | 0.416025i | ||||
\(40\) | 105.000 | 0.415049 | ||||||||
\(41\) | −142.500 | − | 246.817i | −0.542799 | − | 0.940156i | −0.998742 | − | 0.0501465i | \(-0.984031\pi\) |
0.455943 | − | 0.890009i | \(-0.349302\pi\) | |||||||
\(42\) | −15.0000 | − | 25.9808i | −0.0551083 | − | 0.0954504i | ||||
\(43\) | 123.000 | − | 213.042i | 0.436217 | − | 0.755550i | −0.561177 | − | 0.827696i | \(-0.689651\pi\) |
0.997394 | + | 0.0721459i | \(0.0229847\pi\) | |||||||
\(44\) | 154.000 | 0.527645 | ||||||||
\(45\) | −31.5000 | + | 54.5596i | −0.104350 | + | 0.180739i | ||||
\(46\) | −81.0000 | + | 140.296i | −0.259626 | + | 0.449686i | ||||
\(47\) | −462.000 | −1.43382 | −0.716911 | − | 0.697165i | \(-0.754445\pi\) | ||||
−0.716911 | + | 0.697165i | \(0.754445\pi\) | |||||||
\(48\) | −61.5000 | + | 106.521i | −0.184933 | + | 0.320312i | ||||
\(49\) | 121.500 | + | 210.444i | 0.354227 | + | 0.613540i | ||||
\(50\) | −38.0000 | − | 65.8179i | −0.107480 | − | 0.186161i | ||||
\(51\) | 111.000 | 0.304767 | ||||||||
\(52\) | −91.0000 | + | 315.233i | −0.242681 | + | 0.840673i | ||||
\(53\) | −537.000 | −1.39175 | −0.695874 | − | 0.718164i | \(-0.744983\pi\) | ||||
−0.695874 | + | 0.718164i | \(0.744983\pi\) | |||||||
\(54\) | 13.5000 | + | 23.3827i | 0.0340207 | + | 0.0589256i | ||||
\(55\) | 77.0000 | + | 133.368i | 0.188776 | + | 0.326970i | ||||
\(56\) | 75.0000 | − | 129.904i | 0.178970 | − | 0.309984i | ||||
\(57\) | 90.0000 | 0.209137 | ||||||||
\(58\) | −56.5000 | + | 97.8609i | −0.127911 | + | 0.221548i | ||||
\(59\) | −288.000 | + | 498.831i | −0.635498 | + | 1.10072i | 0.350911 | + | 0.936409i | \(0.385872\pi\) |
−0.986409 | + | 0.164307i | \(0.947461\pi\) | |||||||
\(60\) | −147.000 | −0.316294 | ||||||||
\(61\) | 317.500 | − | 549.926i | 0.666421 | − | 1.15428i | −0.312476 | − | 0.949926i | \(-0.601159\pi\) |
0.978898 | − | 0.204350i | \(-0.0655082\pi\) | |||||||
\(62\) | 98.0000 | + | 169.741i | 0.200742 | + | 0.347696i | ||||
\(63\) | 45.0000 | + | 77.9423i | 0.0899915 | + | 0.155870i | ||||
\(64\) | −167.000 | −0.326172 | ||||||||
\(65\) | −318.500 | + | 78.8083i | −0.607770 | + | 0.150384i | ||||
\(66\) | 66.0000 | 0.123091 | ||||||||
\(67\) | −101.000 | − | 174.937i | −0.184166 | − | 0.318985i | 0.759129 | − | 0.650940i | \(-0.225625\pi\) |
−0.943295 | + | 0.331955i | \(0.892292\pi\) | |||||||
\(68\) | 129.500 | + | 224.301i | 0.230944 | + | 0.400006i | ||||
\(69\) | 243.000 | − | 420.888i | 0.423968 | − | 0.734333i | ||||
\(70\) | 70.0000 | 0.119523 | ||||||||
\(71\) | 543.000 | − | 940.504i | 0.907637 | − | 1.57207i | 0.0902997 | − | 0.995915i | \(-0.471217\pi\) |
0.817338 | − | 0.576159i | \(-0.195449\pi\) | |||||||
\(72\) | −67.5000 | + | 116.913i | −0.110485 | + | 0.191366i | ||||
\(73\) | −805.000 | −1.29066 | −0.645330 | − | 0.763904i | \(-0.723280\pi\) | ||||
−0.645330 | + | 0.763904i | \(0.723280\pi\) | |||||||
\(74\) | 6.50000 | − | 11.2583i | 0.0102109 | − | 0.0176859i | ||||
\(75\) | 114.000 | + | 197.454i | 0.175514 | + | 0.304000i | ||||
\(76\) | 105.000 | + | 181.865i | 0.158478 | + | 0.274492i | ||||
\(77\) | 220.000 | 0.325602 | ||||||||
\(78\) | −39.0000 | + | 135.100i | −0.0566139 | + | 0.196116i | ||||
\(79\) | 884.000 | 1.25896 | 0.629480 | − | 0.777017i | \(-0.283268\pi\) | ||||
0.629480 | + | 0.777017i | \(0.283268\pi\) | |||||||
\(80\) | −143.500 | − | 248.549i | −0.200547 | − | 0.347358i | ||||
\(81\) | −40.5000 | − | 70.1481i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 142.500 | − | 246.817i | 0.191908 | − | 0.332395i | ||||
\(83\) | 518.000 | 0.685035 | 0.342517 | − | 0.939511i | \(-0.388720\pi\) | ||||
0.342517 | + | 0.939511i | \(0.388720\pi\) | |||||||
\(84\) | −105.000 | + | 181.865i | −0.136386 | + | 0.236228i | ||||
\(85\) | −129.500 | + | 224.301i | −0.165250 | + | 0.286221i | ||||
\(86\) | 246.000 | 0.308452 | ||||||||
\(87\) | 169.500 | − | 293.583i | 0.208877 | − | 0.361786i | ||||
\(88\) | 165.000 | + | 285.788i | 0.199876 | + | 0.346195i | ||||
\(89\) | −97.0000 | − | 168.009i | −0.115528 | − | 0.200100i | 0.802463 | − | 0.596702i | \(-0.203523\pi\) |
−0.917991 | + | 0.396602i | \(0.870189\pi\) | |||||||
\(90\) | −63.0000 | −0.0737865 | ||||||||
\(91\) | −130.000 | + | 450.333i | −0.149755 | + | 0.518766i | ||||
\(92\) | 1134.00 | 1.28508 | ||||||||
\(93\) | −294.000 | − | 509.223i | −0.327811 | − | 0.567785i | ||||
\(94\) | −231.000 | − | 400.104i | −0.253466 | − | 0.439016i | ||||
\(95\) | −105.000 | + | 181.865i | −0.113398 | + | 0.196410i | ||||
\(96\) | −483.000 | −0.513500 | ||||||||
\(97\) | 601.000 | − | 1040.96i | 0.629096 | − | 1.08963i | −0.358638 | − | 0.933477i | \(-0.616759\pi\) |
0.987733 | − | 0.156149i | \(-0.0499081\pi\) | |||||||
\(98\) | −121.500 | + | 210.444i | −0.125238 | + | 0.216919i | ||||
\(99\) | −198.000 | −0.201008 | ||||||||
\(100\) | −266.000 | + | 460.726i | −0.266000 | + | 0.460726i | ||||
\(101\) | 214.500 | + | 371.525i | 0.211322 | + | 0.366021i | 0.952129 | − | 0.305698i | \(-0.0988897\pi\) |
−0.740806 | + | 0.671719i | \(0.765556\pi\) | |||||||
\(102\) | 55.5000 | + | 96.1288i | 0.0538757 | + | 0.0933154i | ||||
\(103\) | −1302.00 | −1.24553 | −0.622766 | − | 0.782408i | \(-0.713991\pi\) | ||||
−0.622766 | + | 0.782408i | \(0.713991\pi\) | |||||||
\(104\) | −682.500 | + | 168.875i | −0.643506 | + | 0.159226i | ||||
\(105\) | −210.000 | −0.195180 | ||||||||
\(106\) | −268.500 | − | 465.056i | −0.246029 | − | 0.426134i | ||||
\(107\) | 669.000 | + | 1158.74i | 0.604436 | + | 1.04691i | 0.992140 | + | 0.125130i | \(0.0399349\pi\) |
−0.387704 | + | 0.921784i | \(0.626732\pi\) | |||||||
\(108\) | 94.5000 | − | 163.679i | 0.0841969 | − | 0.145833i | ||||
\(109\) | −1034.00 | −0.908617 | −0.454308 | − | 0.890844i | \(-0.650114\pi\) | ||||
−0.454308 | + | 0.890844i | \(0.650114\pi\) | |||||||
\(110\) | −77.0000 | + | 133.368i | −0.0667424 | + | 0.115601i | ||||
\(111\) | −19.5000 | + | 33.7750i | −0.0166744 | + | 0.0288809i | ||||
\(112\) | −410.000 | −0.345905 | ||||||||
\(113\) | −538.500 | + | 932.709i | −0.448299 | + | 0.776477i | −0.998275 | − | 0.0587032i | \(-0.981303\pi\) |
0.549976 | + | 0.835180i | \(0.314637\pi\) | |||||||
\(114\) | 45.0000 | + | 77.9423i | 0.0369705 | + | 0.0640348i | ||||
\(115\) | 567.000 | + | 982.073i | 0.459765 | + | 0.796337i | ||||
\(116\) | 791.000 | 0.633125 | ||||||||
\(117\) | 117.000 | − | 405.300i | 0.0924500 | − | 0.320256i | ||||
\(118\) | −576.000 | −0.449365 | ||||||||
\(119\) | 185.000 | + | 320.429i | 0.142512 | + | 0.246838i | ||||
\(120\) | −157.500 | − | 272.798i | −0.119814 | − | 0.207524i | ||||
\(121\) | 423.500 | − | 733.524i | 0.318182 | − | 0.551107i | ||||
\(122\) | 635.000 | 0.471231 | ||||||||
\(123\) | −427.500 | + | 740.452i | −0.313385 | + | 0.542799i | ||||
\(124\) | 686.000 | − | 1188.19i | 0.496811 | − | 0.860503i | ||||
\(125\) | −1407.00 | −1.00677 | ||||||||
\(126\) | −45.0000 | + | 77.9423i | −0.0318168 | + | 0.0551083i | ||||
\(127\) | 494.000 | + | 855.633i | 0.345161 | + | 0.597836i | 0.985383 | − | 0.170354i | \(-0.0544911\pi\) |
−0.640222 | + | 0.768190i | \(0.721158\pi\) | |||||||
\(128\) | −727.500 | − | 1260.07i | −0.502363 | − | 0.870119i | ||||
\(129\) | −738.000 | −0.503700 | ||||||||
\(130\) | −227.500 | − | 236.425i | −0.153485 | − | 0.159506i | ||||
\(131\) | 560.000 | 0.373492 | 0.186746 | − | 0.982408i | \(-0.440206\pi\) | ||||
0.186746 | + | 0.982408i | \(0.440206\pi\) | |||||||
\(132\) | −231.000 | − | 400.104i | −0.152318 | − | 0.263822i | ||||
\(133\) | 150.000 | + | 259.808i | 0.0977944 | + | 0.169385i | ||||
\(134\) | 101.000 | − | 174.937i | 0.0651125 | − | 0.112778i | ||||
\(135\) | 189.000 | 0.120493 | ||||||||
\(136\) | −277.500 | + | 480.644i | −0.174966 | + | 0.303051i | ||||
\(137\) | 259.500 | − | 449.467i | 0.161829 | − | 0.280296i | −0.773696 | − | 0.633557i | \(-0.781594\pi\) |
0.935525 | + | 0.353261i | \(0.114927\pi\) | |||||||
\(138\) | 486.000 | 0.299790 | ||||||||
\(139\) | 174.000 | − | 301.377i | 0.106176 | − | 0.183903i | −0.808042 | − | 0.589125i | \(-0.799473\pi\) |
0.914218 | + | 0.405222i | \(0.132806\pi\) | |||||||
\(140\) | −245.000 | − | 424.352i | −0.147902 | − | 0.256174i | ||||
\(141\) | 693.000 | + | 1200.31i | 0.413909 | + | 0.716911i | ||||
\(142\) | 1086.00 | 0.641796 | ||||||||
\(143\) | −715.000 | − | 743.050i | −0.418121 | − | 0.434524i | ||||
\(144\) | 369.000 | 0.213542 | ||||||||
\(145\) | 395.500 | + | 685.026i | 0.226514 | + | 0.392333i | ||||
\(146\) | −402.500 | − | 697.150i | −0.228158 | − | 0.395182i | ||||
\(147\) | 364.500 | − | 631.333i | 0.204513 | − | 0.354227i | ||||
\(148\) | −91.0000 | −0.0505416 | ||||||||
\(149\) | 322.500 | − | 558.586i | 0.177317 | − | 0.307122i | −0.763644 | − | 0.645638i | \(-0.776592\pi\) |
0.940961 | + | 0.338516i | \(0.109925\pi\) | |||||||
\(150\) | −114.000 | + | 197.454i | −0.0620537 | + | 0.107480i | ||||
\(151\) | 2914.00 | 1.57045 | 0.785225 | − | 0.619211i | \(-0.212547\pi\) | ||||
0.785225 | + | 0.619211i | \(0.212547\pi\) | |||||||
\(152\) | −225.000 | + | 389.711i | −0.120065 | + | 0.207959i | ||||
\(153\) | −166.500 | − | 288.386i | −0.0879786 | − | 0.152383i | ||||
\(154\) | 110.000 | + | 190.526i | 0.0575588 | + | 0.0996947i | ||||
\(155\) | 1372.00 | 0.710979 | ||||||||
\(156\) | 955.500 | − | 236.425i | 0.490392 | − | 0.121341i | ||||
\(157\) | −2079.00 | −1.05683 | −0.528415 | − | 0.848986i | \(-0.677213\pi\) | ||||
−0.528415 | + | 0.848986i | \(0.677213\pi\) | |||||||
\(158\) | 442.000 | + | 765.566i | 0.222555 | + | 0.385476i | ||||
\(159\) | 805.500 | + | 1395.17i | 0.401763 | + | 0.695874i | ||||
\(160\) | 563.500 | − | 976.011i | 0.278429 | − | 0.482253i | ||||
\(161\) | 1620.00 | 0.793006 | ||||||||
\(162\) | 40.5000 | − | 70.1481i | 0.0196419 | − | 0.0340207i | ||||
\(163\) | −850.000 | + | 1472.24i | −0.408449 | + | 0.707454i | −0.994716 | − | 0.102664i | \(-0.967263\pi\) |
0.586267 | + | 0.810118i | \(0.300597\pi\) | |||||||
\(164\) | −1995.00 | −0.949898 | ||||||||
\(165\) | 231.000 | − | 400.104i | 0.108990 | − | 0.188776i | ||||
\(166\) | 259.000 | + | 448.601i | 0.121098 | + | 0.209748i | ||||
\(167\) | −1840.00 | − | 3186.97i | −0.852596 | − | 1.47674i | −0.878858 | − | 0.477084i | \(-0.841694\pi\) |
0.0262621 | − | 0.999655i | \(-0.491640\pi\) | |||||||
\(168\) | −450.000 | −0.206656 | ||||||||
\(169\) | 1943.50 | − | 1024.51i | 0.884615 | − | 0.466321i | ||||
\(170\) | −259.000 | −0.116849 | ||||||||
\(171\) | −135.000 | − | 233.827i | −0.0603726 | − | 0.104568i | ||||
\(172\) | −861.000 | − | 1491.30i | −0.381690 | − | 0.661106i | ||||
\(173\) | −2073.00 | + | 3590.54i | −0.911025 | + | 1.57794i | −0.0984052 | + | 0.995146i | \(0.531374\pi\) |
−0.812619 | + | 0.582795i | \(0.801959\pi\) | |||||||
\(174\) | 339.000 | 0.147698 | ||||||||
\(175\) | −380.000 | + | 658.179i | −0.164145 | + | 0.284307i | ||||
\(176\) | 451.000 | − | 781.155i | 0.193156 | − | 0.334555i | ||||
\(177\) | 1728.00 | 0.733810 | ||||||||
\(178\) | 97.0000 | − | 168.009i | 0.0408453 | − | 0.0707461i | ||||
\(179\) | −1837.00 | − | 3181.78i | −0.767060 | − | 1.32859i | −0.939150 | − | 0.343506i | \(-0.888385\pi\) |
0.172090 | − | 0.985081i | \(-0.444948\pi\) | |||||||
\(180\) | 220.500 | + | 381.917i | 0.0913061 | + | 0.158147i | ||||
\(181\) | −3283.00 | −1.34820 | −0.674098 | − | 0.738642i | \(-0.735467\pi\) | ||||
−0.674098 | + | 0.738642i | \(0.735467\pi\) | |||||||
\(182\) | −455.000 | + | 112.583i | −0.185312 | + | 0.0458529i | ||||
\(183\) | −1905.00 | −0.769517 | ||||||||
\(184\) | 1215.00 | + | 2104.44i | 0.486799 | + | 0.843160i | ||||
\(185\) | −45.5000 | − | 78.8083i | −0.0180823 | − | 0.0313195i | ||||
\(186\) | 294.000 | − | 509.223i | 0.115899 | − | 0.200742i | ||||
\(187\) | −814.000 | −0.318319 | ||||||||
\(188\) | −1617.00 | + | 2800.73i | −0.627297 | + | 1.08651i | ||||
\(189\) | 135.000 | − | 233.827i | 0.0519566 | − | 0.0899915i | ||||
\(190\) | −210.000 | −0.0801842 | ||||||||
\(191\) | 298.000 | − | 516.151i | 0.112893 | − | 0.195536i | −0.804043 | − | 0.594572i | \(-0.797322\pi\) |
0.916935 | + | 0.399036i | \(0.130655\pi\) | |||||||
\(192\) | 250.500 | + | 433.879i | 0.0941577 | + | 0.163086i | ||||
\(193\) | 196.500 | + | 340.348i | 0.0732869 | + | 0.126937i | 0.900340 | − | 0.435187i | \(-0.143318\pi\) |
−0.827053 | + | 0.562124i | \(0.809984\pi\) | |||||||
\(194\) | 1202.00 | 0.444838 | ||||||||
\(195\) | 682.500 | + | 709.275i | 0.250640 | + | 0.260473i | ||||
\(196\) | 1701.00 | 0.619898 | ||||||||
\(197\) | 1761.00 | + | 3050.14i | 0.636884 | + | 1.10311i | 0.986113 | + | 0.166077i | \(0.0531101\pi\) |
−0.349229 | + | 0.937037i | \(0.613557\pi\) | |||||||
\(198\) | −99.0000 | − | 171.473i | −0.0355335 | − | 0.0615457i | ||||
\(199\) | −1009.00 | + | 1747.64i | −0.359428 | + | 0.622547i | −0.987865 | − | 0.155313i | \(-0.950361\pi\) |
0.628438 | + | 0.777860i | \(0.283695\pi\) | |||||||
\(200\) | −1140.00 | −0.403051 | ||||||||
\(201\) | −303.000 | + | 524.811i | −0.106328 | + | 0.184166i | ||||
\(202\) | −214.500 | + | 371.525i | −0.0747137 | + | 0.129408i | ||||
\(203\) | 1130.00 | 0.390692 | ||||||||
\(204\) | 388.500 | − | 672.902i | 0.133335 | − | 0.230944i | ||||
\(205\) | −997.500 | − | 1727.72i | −0.339846 | − | 0.588630i | ||||
\(206\) | −651.000 | − | 1127.57i | −0.220181 | − | 0.381365i | ||||
\(207\) | −1458.00 | −0.489556 | ||||||||
\(208\) | 1332.50 | + | 1384.77i | 0.444194 | + | 0.461619i | ||||
\(209\) | −660.000 | −0.218436 | ||||||||
\(210\) | −105.000 | − | 181.865i | −0.0345033 | − | 0.0597614i | ||||
\(211\) | −80.0000 | − | 138.564i | −0.0261016 | − | 0.0452092i | 0.852680 | − | 0.522434i | \(-0.174976\pi\) |
−0.878781 | + | 0.477225i | \(0.841643\pi\) | |||||||
\(212\) | −1879.50 | + | 3255.39i | −0.608890 | + | 1.05463i | ||||
\(213\) | −3258.00 | −1.04805 | ||||||||
\(214\) | −669.000 | + | 1158.74i | −0.213700 | + | 0.370140i | ||||
\(215\) | 861.000 | − | 1491.30i | 0.273115 | − | 0.473049i | ||||
\(216\) | 405.000 | 0.127578 | ||||||||
\(217\) | 980.000 | − | 1697.41i | 0.306575 | − | 0.531003i | ||||
\(218\) | −517.000 | − | 895.470i | −0.160622 | − | 0.278206i | ||||
\(219\) | 1207.50 | + | 2091.45i | 0.372581 | + | 0.645330i | ||||
\(220\) | 1078.00 | 0.330358 | ||||||||
\(221\) | 481.000 | − | 1666.23i | 0.146405 | − | 0.507163i | ||||
\(222\) | −39.0000 | −0.0117906 | ||||||||
\(223\) | −2036.00 | − | 3526.46i | −0.611393 | − | 1.05896i | −0.991006 | − | 0.133818i | \(-0.957276\pi\) |
0.379613 | − | 0.925145i | \(-0.376057\pi\) | |||||||
\(224\) | −805.000 | − | 1394.30i | −0.240118 | − | 0.415896i | ||||
\(225\) | 342.000 | − | 592.361i | 0.101333 | − | 0.175514i | ||||
\(226\) | −1077.00 | −0.316995 | ||||||||
\(227\) | 2897.00 | − | 5017.75i | 0.847051 | − | 1.46714i | −0.0367765 | − | 0.999324i | \(-0.511709\pi\) |
0.883828 | − | 0.467812i | \(-0.154958\pi\) | |||||||
\(228\) | 315.000 | − | 545.596i | 0.0914973 | − | 0.158478i | ||||
\(229\) | 6482.00 | 1.87049 | 0.935246 | − | 0.353999i | \(-0.115178\pi\) | ||||
0.935246 | + | 0.353999i | \(0.115178\pi\) | |||||||
\(230\) | −567.000 | + | 982.073i | −0.162552 | + | 0.281548i | ||||
\(231\) | −330.000 | − | 571.577i | −0.0939931 | − | 0.162801i | ||||
\(232\) | 847.500 | + | 1467.91i | 0.239832 | + | 0.415402i | ||||
\(233\) | 6890.00 | 1.93725 | 0.968624 | − | 0.248530i | \(-0.0799474\pi\) | ||||
0.968624 | + | 0.248530i | \(0.0799474\pi\) | |||||||
\(234\) | 409.500 | − | 101.325i | 0.114401 | − | 0.0283069i | ||||
\(235\) | −3234.00 | −0.897714 | ||||||||
\(236\) | 2016.00 | + | 3491.81i | 0.556061 | + | 0.963126i | ||||
\(237\) | −1326.00 | − | 2296.70i | −0.363430 | − | 0.629480i | ||||
\(238\) | −185.000 | + | 320.429i | −0.0503856 | + | 0.0872704i | ||||
\(239\) | 2466.00 | 0.667415 | 0.333708 | − | 0.942677i | \(-0.391700\pi\) | ||||
0.333708 | + | 0.942677i | \(0.391700\pi\) | |||||||
\(240\) | −430.500 | + | 745.648i | −0.115786 | + | 0.200547i | ||||
\(241\) | 1808.50 | − | 3132.41i | 0.483385 | − | 0.837247i | −0.516433 | − | 0.856327i | \(-0.672741\pi\) |
0.999818 | + | 0.0190805i | \(0.00607389\pi\) | |||||||
\(242\) | 847.000 | 0.224989 | ||||||||
\(243\) | −121.500 | + | 210.444i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −2222.50 | − | 3849.48i | −0.583119 | − | 1.00999i | ||||
\(245\) | 850.500 | + | 1473.11i | 0.221781 | + | 0.384137i | ||||
\(246\) | −855.000 | −0.221597 | ||||||||
\(247\) | 390.000 | − | 1351.00i | 0.100466 | − | 0.348024i | ||||
\(248\) | 2940.00 | 0.752783 | ||||||||
\(249\) | −777.000 | − | 1345.80i | −0.197753 | − | 0.342517i | ||||
\(250\) | −703.500 | − | 1218.50i | −0.177973 | − | 0.308258i | ||||
\(251\) | −2430.00 | + | 4208.88i | −0.611077 | + | 1.05842i | 0.379983 | + | 0.924994i | \(0.375930\pi\) |
−0.991059 | + | 0.133422i | \(0.957403\pi\) | |||||||
\(252\) | 630.000 | 0.157485 | ||||||||
\(253\) | −1782.00 | + | 3086.51i | −0.442820 | + | 0.766986i | ||||
\(254\) | −494.000 | + | 855.633i | −0.122033 | + | 0.211367i | ||||
\(255\) | 777.000 | 0.190814 | ||||||||
\(256\) | 59.5000 | − | 103.057i | 0.0145264 | − | 0.0251604i | ||||
\(257\) | −282.500 | − | 489.304i | −0.0685676 | − | 0.118763i | 0.829703 | − | 0.558204i | \(-0.188510\pi\) |
−0.898271 | + | 0.439442i | \(0.855176\pi\) | |||||||
\(258\) | −369.000 | − | 639.127i | −0.0890424 | − | 0.154226i | ||||
\(259\) | −130.000 | −0.0311884 | ||||||||
\(260\) | −637.000 | + | 2206.63i | −0.151943 | + | 0.526344i | ||||
\(261\) | −1017.00 | −0.241190 | ||||||||
\(262\) | 280.000 | + | 484.974i | 0.0660246 | + | 0.114358i | ||||
\(263\) | 249.000 | + | 431.281i | 0.0583802 | + | 0.101118i | 0.893738 | − | 0.448588i | \(-0.148073\pi\) |
−0.835358 | + | 0.549706i | \(0.814740\pi\) | |||||||
\(264\) | 495.000 | − | 857.365i | 0.115398 | − | 0.199876i | ||||
\(265\) | −3759.00 | −0.871372 | ||||||||
\(266\) | −150.000 | + | 259.808i | −0.0345755 | + | 0.0598866i | ||||
\(267\) | −291.000 | + | 504.027i | −0.0667000 | + | 0.115528i | ||||
\(268\) | −1414.00 | −0.322290 | ||||||||
\(269\) | −2773.00 | + | 4802.98i | −0.628523 | + | 1.08863i | 0.359325 | + | 0.933213i | \(0.383007\pi\) |
−0.987848 | + | 0.155422i | \(0.950326\pi\) | |||||||
\(270\) | 94.5000 | + | 163.679i | 0.0213003 | + | 0.0368932i | ||||
\(271\) | 1128.00 | + | 1953.75i | 0.252845 | + | 0.437941i | 0.964308 | − | 0.264783i | \(-0.0853002\pi\) |
−0.711463 | + | 0.702724i | \(0.751967\pi\) | |||||||
\(272\) | 1517.00 | 0.338168 | ||||||||
\(273\) | 1365.00 | − | 337.750i | 0.302614 | − | 0.0748775i | ||||
\(274\) | 519.000 | 0.114430 | ||||||||
\(275\) | −836.000 | − | 1447.99i | −0.183319 | − | 0.317518i | ||||
\(276\) | −1701.00 | − | 2946.22i | −0.370972 | − | 0.642542i | ||||
\(277\) | −1154.50 | + | 1999.65i | −0.250423 | + | 0.433745i | −0.963642 | − | 0.267196i | \(-0.913903\pi\) |
0.713219 | + | 0.700941i | \(0.247236\pi\) | |||||||
\(278\) | 348.000 | 0.0750779 | ||||||||
\(279\) | −882.000 | + | 1527.67i | −0.189262 | + | 0.327811i | ||||
\(280\) | 525.000 | − | 909.327i | 0.112053 | − | 0.194081i | ||||
\(281\) | 5833.00 | 1.23832 | 0.619159 | − | 0.785265i | \(-0.287473\pi\) | ||||
0.619159 | + | 0.785265i | \(0.287473\pi\) | |||||||
\(282\) | −693.000 | + | 1200.31i | −0.146339 | + | 0.253466i | ||||
\(283\) | −825.000 | − | 1428.94i | −0.173290 | − | 0.300148i | 0.766278 | − | 0.642509i | \(-0.222107\pi\) |
−0.939568 | + | 0.342362i | \(0.888773\pi\) | |||||||
\(284\) | −3801.00 | − | 6583.53i | −0.794183 | − | 1.37556i | ||||
\(285\) | 630.000 | 0.130940 | ||||||||
\(286\) | 286.000 | − | 990.733i | 0.0591312 | − | 0.204837i | ||||
\(287\) | −2850.00 | −0.586168 | ||||||||
\(288\) | 724.500 | + | 1254.87i | 0.148235 | + | 0.256750i | ||||
\(289\) | 1772.00 | + | 3069.19i | 0.360676 | + | 0.624709i | ||||
\(290\) | −395.500 | + | 685.026i | −0.0800847 | + | 0.138711i | ||||
\(291\) | −3606.00 | −0.726417 | ||||||||
\(292\) | −2817.50 | + | 4880.05i | −0.564663 | + | 0.978026i | ||||
\(293\) | −1495.50 | + | 2590.28i | −0.298184 | + | 0.516471i | −0.975721 | − | 0.219019i | \(-0.929714\pi\) |
0.677536 | + | 0.735489i | \(0.263048\pi\) | |||||||
\(294\) | 729.000 | 0.144613 | ||||||||
\(295\) | −2016.00 | + | 3491.81i | −0.397885 | + | 0.689157i | ||||
\(296\) | −97.5000 | − | 168.875i | −0.0191455 | − | 0.0331610i | ||||
\(297\) | 297.000 | + | 514.419i | 0.0580259 | + | 0.100504i | ||||
\(298\) | 645.000 | 0.125382 | ||||||||
\(299\) | −5265.00 | − | 5471.55i | −1.01834 | − | 1.05829i | ||||
\(300\) | 1596.00 | 0.307150 | ||||||||
\(301\) | −1230.00 | − | 2130.42i | −0.235535 | − | 0.407959i | ||||
\(302\) | 1457.00 | + | 2523.60i | 0.277619 | + | 0.480850i | ||||
\(303\) | 643.500 | − | 1114.57i | 0.122007 | − | 0.211322i | ||||
\(304\) | 1230.00 | 0.232057 | ||||||||
\(305\) | 2222.50 | − | 3849.48i | 0.417246 | − | 0.722691i | ||||
\(306\) | 166.500 | − | 288.386i | 0.0311051 | − | 0.0538757i | ||||
\(307\) | −2422.00 | −0.450263 | −0.225132 | − | 0.974328i | \(-0.572281\pi\) | ||||
−0.225132 | + | 0.974328i | \(0.572281\pi\) | |||||||
\(308\) | 770.000 | − | 1333.68i | 0.142451 | − | 0.246732i | ||||
\(309\) | 1953.00 | + | 3382.70i | 0.359554 | + | 0.622766i | ||||
\(310\) | 686.000 | + | 1188.19i | 0.125684 | + | 0.217692i | ||||
\(311\) | −3402.00 | −0.620288 | −0.310144 | − | 0.950690i | \(-0.600377\pi\) | ||||
−0.310144 | + | 0.950690i | \(0.600377\pi\) | |||||||
\(312\) | 1462.50 | + | 1519.87i | 0.265377 | + | 0.275788i | ||||
\(313\) | 2310.00 | 0.417153 | 0.208577 | − | 0.978006i | \(-0.433117\pi\) | ||||
0.208577 | + | 0.978006i | \(0.433117\pi\) | |||||||
\(314\) | −1039.50 | − | 1800.47i | −0.186823 | − | 0.323587i | ||||
\(315\) | 315.000 | + | 545.596i | 0.0563436 | + | 0.0975900i | ||||
\(316\) | 3094.00 | − | 5358.97i | 0.550795 | − | 0.954004i | ||||
\(317\) | −257.000 | −0.0455349 | −0.0227674 | − | 0.999741i | \(-0.507248\pi\) | ||||
−0.0227674 | + | 0.999741i | \(0.507248\pi\) | |||||||
\(318\) | −805.500 | + | 1395.17i | −0.142045 | + | 0.246029i | ||||
\(319\) | −1243.00 | + | 2152.94i | −0.218165 | + | 0.377873i | ||||
\(320\) | −1169.00 | −0.204216 | ||||||||
\(321\) | 2007.00 | − | 3476.23i | 0.348971 | − | 0.604436i | ||||
\(322\) | 810.000 | + | 1402.96i | 0.140185 | + | 0.242807i | ||||
\(323\) | −555.000 | − | 961.288i | −0.0956069 | − | 0.165596i | ||||
\(324\) | −567.000 | −0.0972222 | ||||||||
\(325\) | 3458.00 | − | 855.633i | 0.590201 | − | 0.146037i | ||||
\(326\) | −1700.00 | −0.288817 | ||||||||
\(327\) | 1551.00 | + | 2686.41i | 0.262295 | + | 0.454308i | ||||
\(328\) | −2137.50 | − | 3702.26i | −0.359828 | − | 0.623241i | ||||
\(329\) | −2310.00 | + | 4001.04i | −0.387096 | + | 0.670469i | ||||
\(330\) | 462.000 | 0.0770675 | ||||||||
\(331\) | −514.000 | + | 890.274i | −0.0853535 | + | 0.147837i | −0.905542 | − | 0.424257i | \(-0.860535\pi\) |
0.820188 | + | 0.572094i | \(0.193869\pi\) | |||||||
\(332\) | 1813.00 | − | 3140.21i | 0.299703 | − | 0.519100i | ||||
\(333\) | 117.000 | 0.0192539 | ||||||||
\(334\) | 1840.00 | − | 3186.97i | 0.301438 | − | 0.522106i | ||||
\(335\) | −707.000 | − | 1224.56i | −0.115306 | − | 0.199716i | ||||
\(336\) | 615.000 | + | 1065.21i | 0.0998542 | + | 0.172952i | ||||
\(337\) | 2487.00 | 0.402005 | 0.201002 | − | 0.979591i | \(-0.435580\pi\) | ||||
0.201002 | + | 0.979591i | \(0.435580\pi\) | |||||||
\(338\) | 1859.00 | + | 1170.87i | 0.299161 | + | 0.188422i | ||||
\(339\) | 3231.00 | 0.517651 | ||||||||
\(340\) | 906.500 | + | 1570.10i | 0.144594 | + | 0.250444i | ||||
\(341\) | 2156.00 | + | 3734.30i | 0.342387 | + | 0.593032i | ||||
\(342\) | 135.000 | − | 233.827i | 0.0213449 | − | 0.0369705i | ||||
\(343\) | 5860.00 | 0.922479 | ||||||||
\(344\) | 1845.00 | − | 3195.63i | 0.289174 | − | 0.500863i | ||||
\(345\) | 1701.00 | − | 2946.22i | 0.265446 | − | 0.459765i | ||||
\(346\) | −4146.00 | −0.644192 | ||||||||
\(347\) | 1425.00 | − | 2468.17i | 0.220455 | − | 0.381840i | −0.734491 | − | 0.678618i | \(-0.762579\pi\) |
0.954946 | + | 0.296779i | \(0.0959123\pi\) | |||||||
\(348\) | −1186.50 | − | 2055.08i | −0.182767 | − | 0.316563i | ||||
\(349\) | 1009.00 | + | 1747.64i | 0.154758 | + | 0.268049i | 0.932971 | − | 0.359952i | \(-0.117207\pi\) |
−0.778213 | + | 0.628001i | \(0.783874\pi\) | |||||||
\(350\) | −760.000 | −0.116068 | ||||||||
\(351\) | −1228.50 | + | 303.975i | −0.186816 | + | 0.0462250i | ||||
\(352\) | 3542.00 | 0.536333 | ||||||||
\(353\) | 2643.50 | + | 4578.68i | 0.398582 | + | 0.690364i | 0.993551 | − | 0.113385i | \(-0.0361692\pi\) |
−0.594970 | + | 0.803748i | \(0.702836\pi\) | |||||||
\(354\) | 864.000 | + | 1496.49i | 0.129721 | + | 0.224683i | ||||
\(355\) | 3801.00 | − | 6583.53i | 0.568271 | − | 0.984274i | ||||
\(356\) | −1358.00 | −0.202174 | ||||||||
\(357\) | 555.000 | − | 961.288i | 0.0822793 | − | 0.142512i | ||||
\(358\) | 1837.00 | − | 3181.78i | 0.271197 | − | 0.469727i | ||||
\(359\) | −7278.00 | −1.06997 | −0.534983 | − | 0.844863i | \(-0.679682\pi\) | ||||
−0.534983 | + | 0.844863i | \(0.679682\pi\) | |||||||
\(360\) | −472.500 | + | 818.394i | −0.0691748 | + | 0.119814i | ||||
\(361\) | 2979.50 | + | 5160.65i | 0.434393 | + | 0.752390i | ||||
\(362\) | −1641.50 | − | 2843.16i | −0.238330 | − | 0.412799i | ||||
\(363\) | −2541.00 | −0.367405 | ||||||||
\(364\) | 2275.00 | + | 2364.25i | 0.327589 | + | 0.340440i | ||||
\(365\) | −5635.00 | −0.808080 | ||||||||
\(366\) | −952.500 | − | 1649.78i | −0.136033 | − | 0.235616i | ||||
\(367\) | 2101.00 | + | 3639.04i | 0.298832 | + | 0.517592i | 0.975869 | − | 0.218357i | \(-0.0700697\pi\) |
−0.677037 | + | 0.735949i | \(0.736736\pi\) | |||||||
\(368\) | 3321.00 | − | 5752.14i | 0.470432 | − | 0.814813i | ||||
\(369\) | 2565.00 | 0.361866 | ||||||||
\(370\) | 45.5000 | − | 78.8083i | 0.00639306 | − | 0.0110731i | ||||
\(371\) | −2685.00 | + | 4650.56i | −0.375737 | + | 0.650795i | ||||
\(372\) | −4116.00 | −0.573668 | ||||||||
\(373\) | 791.500 | − | 1370.92i | 0.109872 | − | 0.190304i | −0.805846 | − | 0.592125i | \(-0.798289\pi\) |
0.915718 | + | 0.401821i | \(0.131623\pi\) | |||||||
\(374\) | −407.000 | − | 704.945i | −0.0562713 | − | 0.0974648i | ||||
\(375\) | 2110.50 | + | 3655.49i | 0.290629 | + | 0.503384i | ||||
\(376\) | −6930.00 | −0.950499 | ||||||||
\(377\) | −3672.50 | − | 3816.57i | −0.501707 | − | 0.521389i | ||||
\(378\) | 270.000 | 0.0367389 | ||||||||
\(379\) | 1026.00 | + | 1777.08i | 0.139056 | + | 0.240851i | 0.927139 | − | 0.374717i | \(-0.122260\pi\) |
−0.788084 | + | 0.615568i | \(0.788927\pi\) | |||||||
\(380\) | 735.000 | + | 1273.06i | 0.0992229 | + | 0.171859i | ||||
\(381\) | 1482.00 | − | 2566.90i | 0.199279 | − | 0.345161i | ||||
\(382\) | 596.000 | 0.0798273 | ||||||||
\(383\) | 3436.00 | − | 5951.33i | 0.458411 | − | 0.793991i | −0.540466 | − | 0.841366i | \(-0.681752\pi\) |
0.998877 | + | 0.0473746i | \(0.0150855\pi\) | |||||||
\(384\) | −2182.50 | + | 3780.20i | −0.290040 | + | 0.502363i | ||||
\(385\) | 1540.00 | 0.203859 | ||||||||
\(386\) | −196.500 | + | 340.348i | −0.0259108 | + | 0.0448789i | ||||
\(387\) | 1107.00 | + | 1917.38i | 0.145406 | + | 0.251850i | ||||
\(388\) | −4207.00 | − | 7286.74i | −0.550459 | − | 0.953423i | ||||
\(389\) | −11653.0 | −1.51884 | −0.759422 | − | 0.650598i | \(-0.774518\pi\) | ||||
−0.759422 | + | 0.650598i | \(0.774518\pi\) | |||||||
\(390\) | −273.000 | + | 945.700i | −0.0354459 | + | 0.122788i | ||||
\(391\) | −5994.00 | −0.775268 | ||||||||
\(392\) | 1822.50 | + | 3156.66i | 0.234822 | + | 0.406723i | ||||
\(393\) | −840.000 | − | 1454.92i | −0.107818 | − | 0.186746i | ||||
\(394\) | −1761.00 | + | 3050.14i | −0.225172 | + | 0.390010i | ||||
\(395\) | 6188.00 | 0.788233 | ||||||||
\(396\) | −693.000 | + | 1200.31i | −0.0879408 | + | 0.152318i | ||||
\(397\) | −3067.00 | + | 5312.20i | −0.387729 | + | 0.671566i | −0.992144 | − | 0.125104i | \(-0.960074\pi\) |
0.604415 | + | 0.796670i | \(0.293407\pi\) | |||||||
\(398\) | −2018.00 | −0.254154 | ||||||||
\(399\) | 450.000 | − | 779.423i | 0.0564616 | − | 0.0977944i | ||||
\(400\) | 1558.00 | + | 2698.54i | 0.194750 | + | 0.337317i | ||||
\(401\) | 5397.50 | + | 9348.74i | 0.672165 | + | 1.16422i | 0.977289 | + | 0.211912i | \(0.0679689\pi\) |
−0.305124 | + | 0.952313i | \(0.598698\pi\) | |||||||
\(402\) | −606.000 | −0.0751854 | ||||||||
\(403\) | −8918.00 | + | 2206.63i | −1.10233 | + | 0.272755i | ||||
\(404\) | 3003.00 | 0.369814 | ||||||||
\(405\) | −283.500 | − | 491.036i | −0.0347833 | − | 0.0602464i | ||||
\(406\) | 565.000 | + | 978.609i | 0.0690652 | + | 0.119624i | ||||
\(407\) | 143.000 | − | 247.683i | 0.0174158 | − | 0.0301651i | ||||
\(408\) | 1665.00 | 0.202034 | ||||||||
\(409\) | 4244.50 | − | 7351.69i | 0.513147 | − | 0.888796i | −0.486737 | − | 0.873549i | \(-0.661813\pi\) |
0.999884 | − | 0.0152477i | \(-0.00485367\pi\) | |||||||
\(410\) | 997.500 | − | 1727.72i | 0.120154 | − | 0.208112i | ||||
\(411\) | −1557.00 | −0.186864 | ||||||||
\(412\) | −4557.00 | + | 7892.96i | −0.544921 | + | 0.943830i | ||||
\(413\) | 2880.00 | + | 4988.31i | 0.343137 | + | 0.594331i | ||||
\(414\) | −729.000 | − | 1262.67i | −0.0865420 | − | 0.149895i | ||||
\(415\) | 3626.00 | 0.428900 | ||||||||
\(416\) | −2093.00 | + | 7250.36i | −0.246677 | + | 0.854515i | ||||
\(417\) | −1044.00 | −0.122602 | ||||||||
\(418\) | −330.000 | − | 571.577i | −0.0386144 | − | 0.0668821i | ||||
\(419\) | −748.000 | − | 1295.57i | −0.0872129 | − | 0.151057i | 0.819119 | − | 0.573623i | \(-0.194463\pi\) |
−0.906332 | + | 0.422566i | \(0.861129\pi\) | |||||||
\(420\) | −735.000 | + | 1273.06i | −0.0853913 | + | 0.147902i | ||||
\(421\) | −11695.0 | −1.35387 | −0.676935 | − | 0.736043i | \(-0.736692\pi\) | ||||
−0.676935 | + | 0.736043i | \(0.736692\pi\) | |||||||
\(422\) | 80.0000 | − | 138.564i | 0.00922829 | − | 0.0159839i | ||||
\(423\) | 2079.00 | − | 3600.93i | 0.238970 | − | 0.413909i | ||||
\(424\) | −8055.00 | −0.922607 | ||||||||
\(425\) | 1406.00 | − | 2435.26i | 0.160473 | − | 0.277947i | ||||
\(426\) | −1629.00 | − | 2821.51i | −0.185271 | − | 0.320898i | ||||
\(427\) | −3175.00 | − | 5499.26i | −0.359834 | − | 0.623250i | ||||
\(428\) | 9366.00 | 1.05776 | ||||||||
\(429\) | −858.000 | + | 2972.20i | −0.0965609 | + | 0.334497i | ||||
\(430\) | 1722.00 | 0.193121 | ||||||||
\(431\) | −5295.00 | − | 9171.21i | −0.591766 | − | 1.02497i | −0.993995 | − | 0.109430i | \(-0.965098\pi\) |
0.402228 | − | 0.915539i | \(-0.368236\pi\) | |||||||
\(432\) | −553.500 | − | 958.690i | −0.0616442 | − | 0.106771i | ||||
\(433\) | 6974.50 | − | 12080.2i | 0.774072 | − | 1.34073i | −0.161243 | − | 0.986915i | \(-0.551550\pi\) |
0.935315 | − | 0.353817i | \(-0.115116\pi\) | |||||||
\(434\) | 1960.00 | 0.216781 | ||||||||
\(435\) | 1186.50 | − | 2055.08i | 0.130778 | − | 0.226514i | ||||
\(436\) | −3619.00 | + | 6268.29i | −0.397520 | + | 0.688525i | ||||
\(437\) | −4860.00 | −0.532003 | ||||||||
\(438\) | −1207.50 | + | 2091.45i | −0.131727 | + | 0.228158i | ||||
\(439\) | 5363.00 | + | 9288.99i | 0.583057 | + | 1.00988i | 0.995115 | + | 0.0987266i | \(0.0314769\pi\) |
−0.412058 | + | 0.911158i | \(0.635190\pi\) | |||||||
\(440\) | 1155.00 | + | 2000.52i | 0.125142 | + | 0.216752i | ||||
\(441\) | −2187.00 | −0.236152 | ||||||||
\(442\) | 1683.50 | − | 416.558i | 0.181167 | − | 0.0448273i | ||||
\(443\) | 16228.0 | 1.74044 | 0.870221 | − | 0.492662i | \(-0.163976\pi\) | ||||
0.870221 | + | 0.492662i | \(0.163976\pi\) | |||||||
\(444\) | 136.500 | + | 236.425i | 0.0145901 | + | 0.0252708i | ||||
\(445\) | −679.000 | − | 1176.06i | −0.0723319 | − | 0.125282i | ||||
\(446\) | 2036.00 | − | 3526.46i | 0.216160 | − | 0.374400i | ||||
\(447\) | −1935.00 | −0.204748 | ||||||||
\(448\) | −835.000 | + | 1446.26i | −0.0880581 | + | 0.152521i | ||||
\(449\) | −3769.00 | + | 6528.10i | −0.396147 | + | 0.686147i | −0.993247 | − | 0.116020i | \(-0.962986\pi\) |
0.597100 | + | 0.802167i | \(0.296320\pi\) | |||||||
\(450\) | 684.000 | 0.0716535 | ||||||||
\(451\) | 3135.00 | − | 5429.98i | 0.327320 | − | 0.566935i | ||||
\(452\) | 3769.50 | + | 6528.97i | 0.392262 | + | 0.679417i | ||||
\(453\) | −4371.00 | − | 7570.79i | −0.453350 | − | 0.785225i | ||||
\(454\) | 5794.00 | 0.598956 | ||||||||
\(455\) | −910.000 | + | 3152.33i | −0.0937614 | + | 0.324799i | ||||
\(456\) | 1350.00 | 0.138639 | ||||||||
\(457\) | −7769.50 | − | 13457.2i | −0.795278 | − | 1.37746i | −0.922663 | − | 0.385608i | \(-0.873992\pi\) |
0.127385 | − | 0.991853i | \(-0.459342\pi\) | |||||||
\(458\) | 3241.00 | + | 5613.58i | 0.330659 | + | 0.572719i | ||||
\(459\) | −499.500 | + | 865.159i | −0.0507945 | + | 0.0879786i | ||||
\(460\) | 7938.00 | 0.804589 | ||||||||
\(461\) | −2405.50 | + | 4166.45i | −0.243027 | + | 0.420935i | −0.961575 | − | 0.274543i | \(-0.911474\pi\) |
0.718548 | + | 0.695477i | \(0.244807\pi\) | |||||||
\(462\) | 330.000 | − | 571.577i | 0.0332316 | − | 0.0575588i | ||||
\(463\) | 562.000 | 0.0564111 | 0.0282056 | − | 0.999602i | \(-0.491021\pi\) | ||||
0.0282056 | + | 0.999602i | \(0.491021\pi\) | |||||||
\(464\) | 2316.50 | − | 4012.30i | 0.231769 | − | 0.401436i | ||||
\(465\) | −2058.00 | − | 3564.56i | −0.205242 | − | 0.355489i | ||||
\(466\) | 3445.00 | + | 5966.92i | 0.342460 | + | 0.593159i | ||||
\(467\) | 4914.00 | 0.486922 | 0.243461 | − | 0.969911i | \(-0.421717\pi\) | ||||
0.243461 | + | 0.969911i | \(0.421717\pi\) | |||||||
\(468\) | −2047.50 | − | 2127.82i | −0.202234 | − | 0.210168i | ||||
\(469\) | −2020.00 | −0.198880 | ||||||||
\(470\) | −1617.00 | − | 2800.73i | −0.158695 | − | 0.274868i | ||||
\(471\) | 3118.50 | + | 5401.40i | 0.305080 | + | 0.528415i | ||||
\(472\) | −4320.00 | + | 7482.46i | −0.421280 | + | 0.729678i | ||||
\(473\) | 5412.00 | 0.526097 | ||||||||
\(474\) | 1326.00 | − | 2296.70i | 0.128492 | − | 0.222555i | ||||
\(475\) | 1140.00 | − | 1974.54i | 0.110120 | − | 0.190733i | ||||
\(476\) | 2590.00 | 0.249396 | ||||||||
\(477\) | 2416.50 | − | 4185.50i | 0.231958 | − | 0.401763i | ||||
\(478\) | 1233.00 | + | 2135.62i | 0.117983 | + | 0.204353i | ||||
\(479\) | 1800.00 | + | 3117.69i | 0.171700 | + | 0.297392i | 0.939014 | − | 0.343878i | \(-0.111741\pi\) |
−0.767315 | + | 0.641271i | \(0.778407\pi\) | |||||||
\(480\) | −3381.00 | −0.321502 | ||||||||
\(481\) | 422.500 | + | 439.075i | 0.0400506 | + | 0.0416218i | ||||
\(482\) | 3617.00 | 0.341805 | ||||||||
\(483\) | −2430.00 | − | 4208.88i | −0.228921 | − | 0.396503i | ||||
\(484\) | −2964.50 | − | 5134.66i | −0.278409 | − | 0.482219i | ||||
\(485\) | 4207.00 | − | 7286.74i | 0.393876 | − | 0.682214i | ||||
\(486\) | −243.000 | −0.0226805 | ||||||||
\(487\) | 8565.00 | − | 14835.0i | 0.796955 | − | 1.38037i | −0.124635 | − | 0.992203i | \(-0.539776\pi\) |
0.921590 | − | 0.388164i | \(-0.126891\pi\) | |||||||
\(488\) | 4762.50 | − | 8248.89i | 0.441779 | − | 0.765184i | ||||
\(489\) | 5100.00 | 0.471636 | ||||||||
\(490\) | −850.500 | + | 1473.11i | −0.0784116 | + | 0.135813i | ||||
\(491\) | 5919.00 | + | 10252.0i | 0.544034 | + | 0.942295i | 0.998667 | + | 0.0516158i | \(0.0164371\pi\) |
−0.454633 | + | 0.890679i | \(0.650230\pi\) | |||||||
\(492\) | 2992.50 | + | 5183.16i | 0.274212 | + | 0.474949i | ||||
\(493\) | −4181.00 | −0.381953 | ||||||||
\(494\) | 1365.00 | − | 337.750i | 0.124320 | − | 0.0307613i | ||||
\(495\) | −1386.00 | −0.125851 | ||||||||
\(496\) | −4018.00 | − | 6959.38i | −0.363737 | − | 0.630011i | ||||
\(497\) | −5430.00 | − | 9405.04i | −0.490078 | − | 0.848840i | ||||
\(498\) | 777.000 | − | 1345.80i | 0.0699161 | − | 0.121098i | ||||
\(499\) | 8976.00 | 0.805252 | 0.402626 | − | 0.915364i | \(-0.368097\pi\) | ||||
0.402626 | + | 0.915364i | \(0.368097\pi\) | |||||||
\(500\) | −4924.50 | + | 8529.48i | −0.440461 | + | 0.762900i | ||||
\(501\) | −5520.00 | + | 9560.92i | −0.492246 | + | 0.852596i | ||||
\(502\) | −4860.00 | −0.432096 | ||||||||
\(503\) | −841.000 | + | 1456.65i | −0.0745494 | + | 0.129123i | −0.900890 | − | 0.434047i | \(-0.857085\pi\) |
0.826341 | + | 0.563170i | \(0.190419\pi\) | |||||||
\(504\) | 675.000 | + | 1169.13i | 0.0596565 | + | 0.103328i | ||||
\(505\) | 1501.50 | + | 2600.67i | 0.132309 | + | 0.229165i | ||||
\(506\) | −3564.00 | −0.313121 | ||||||||
\(507\) | −5577.00 | − | 3512.60i | −0.488527 | − | 0.307692i | ||||
\(508\) | 6916.00 | 0.604031 | ||||||||
\(509\) | −7583.50 | − | 13135.0i | −0.660379 | − | 1.14381i | −0.980516 | − | 0.196438i | \(-0.937062\pi\) |
0.320138 | − | 0.947371i | \(-0.396271\pi\) | |||||||
\(510\) | 388.500 | + | 672.902i | 0.0337315 | + | 0.0584247i | ||||
\(511\) | −4025.00 | + | 6971.50i | −0.348445 | + | 0.603525i | ||||
\(512\) | −11521.0 | −0.994455 | ||||||||
\(513\) | −405.000 | + | 701.481i | −0.0348561 | + | 0.0603726i | ||||
\(514\) | 282.500 | − | 489.304i | 0.0242423 | − | 0.0419889i | ||||
\(515\) | −9114.00 | −0.779827 | ||||||||
\(516\) | −2583.00 | + | 4473.89i | −0.220369 | + | 0.381690i | ||||
\(517\) | −5082.00 | − | 8802.28i | −0.432314 | − | 0.748789i | ||||
\(518\) | −65.0000 | − | 112.583i | −0.00551339 | − | 0.00954947i | ||||
\(519\) | 12438.0 | 1.05196 | ||||||||
\(520\) | −4777.50 | + | 1182.12i | −0.402899 | + | 0.0996915i | ||||
\(521\) | −6783.00 | −0.570381 | −0.285191 | − | 0.958471i | \(-0.592057\pi\) | ||||
−0.285191 | + | 0.958471i | \(0.592057\pi\) | |||||||
\(522\) | −508.500 | − | 880.748i | −0.0426369 | − | 0.0738492i | ||||
\(523\) | 6959.00 | + | 12053.3i | 0.581828 | + | 1.00775i | 0.995263 | + | 0.0972214i | \(0.0309955\pi\) |
−0.413435 | + | 0.910534i | \(0.635671\pi\) | |||||||
\(524\) | 1960.00 | − | 3394.82i | 0.163403 | − | 0.283022i | ||||
\(525\) | 2280.00 | 0.189538 | ||||||||
\(526\) | −249.000 | + | 431.281i | −0.0206405 | + | 0.0357504i | ||||
\(527\) | −3626.00 | + | 6280.42i | −0.299717 | + | 0.519126i | ||||
\(528\) | −2706.00 | −0.223037 | ||||||||
\(529\) | −7038.50 | + | 12191.0i | −0.578491 | + | 1.00198i | ||||
\(530\) | −1879.50 | − | 3255.39i | −0.154038 | − | 0.266802i | ||||
\(531\) | −2592.00 | − | 4489.48i | −0.211833 | − | 0.366905i | ||||
\(532\) | 2100.00 | 0.171140 | ||||||||
\(533\) | 9262.50 | + | 9625.87i | 0.752727 | + | 0.782257i | ||||
\(534\) | −582.000 | −0.0471641 | ||||||||
\(535\) | 4683.00 | + | 8111.19i | 0.378437 | + | 0.655472i | ||||
\(536\) | −1515.00 | − | 2624.06i | −0.122086 | − | 0.211459i | ||||
\(537\) | −5511.00 | + | 9545.33i | −0.442863 | + | 0.767060i | ||||
\(538\) | −5546.00 | −0.444433 | ||||||||
\(539\) | −2673.00 | + | 4629.77i | −0.213607 | + | 0.369978i | ||||
\(540\) | 661.500 | − | 1145.75i | 0.0527156 | − | 0.0913061i | ||||
\(541\) | −1335.00 | −0.106093 | −0.0530463 | − | 0.998592i | \(-0.516893\pi\) | ||||
−0.0530463 | + | 0.998592i | \(0.516893\pi\) | |||||||
\(542\) | −1128.00 | + | 1953.75i | −0.0893944 | + | 0.154836i | ||||
\(543\) | 4924.50 | + | 8529.48i | 0.389191 | + | 0.674098i | ||||
\(544\) | 2978.50 | + | 5158.91i | 0.234747 | + | 0.406593i | ||||
\(545\) | −7238.00 | −0.568884 | ||||||||
\(546\) | 975.000 | + | 1013.25i | 0.0764215 | + | 0.0794196i | ||||
\(547\) | −3806.00 | −0.297501 | −0.148750 | − | 0.988875i | \(-0.547525\pi\) | ||||
−0.148750 | + | 0.988875i | \(0.547525\pi\) | |||||||
\(548\) | −1816.50 | − | 3146.27i | −0.141600 | − | 0.245259i | ||||
\(549\) | 2857.50 | + | 4949.34i | 0.222140 | + | 0.384759i | ||||
\(550\) | 836.000 | − | 1447.99i | 0.0648130 | − | 0.112259i | ||||
\(551\) | −3390.00 | −0.262103 | ||||||||
\(552\) | 3645.00 | − | 6313.33i | 0.281053 | − | 0.486799i | ||||
\(553\) | 4420.00 | − | 7655.66i | 0.339887 | − | 0.588702i | ||||
\(554\) | −2309.00 | −0.177076 | ||||||||
\(555\) | −136.500 | + | 236.425i | −0.0104398 | + | 0.0180823i | ||||
\(556\) | −1218.00 | − | 2109.64i | −0.0929041 | − | 0.160915i | ||||
\(557\) | 952.500 | + | 1649.78i | 0.0724573 | + | 0.125500i | 0.899978 | − | 0.435936i | \(-0.143583\pi\) |
−0.827520 | + | 0.561436i | \(0.810249\pi\) | |||||||
\(558\) | −1764.00 | −0.133828 | ||||||||
\(559\) | −3198.00 | + | 11078.2i | −0.241970 | + | 0.838207i | ||||
\(560\) | −2870.00 | −0.216571 | ||||||||
\(561\) | 1221.00 | + | 2114.83i | 0.0918907 | + | 0.159159i | ||||
\(562\) | 2916.50 | + | 5051.53i | 0.218906 | + | 0.379156i | ||||
\(563\) | 2400.00 | − | 4156.92i | 0.179659 | − | 0.311178i | −0.762105 | − | 0.647454i | \(-0.775834\pi\) |
0.941764 | + | 0.336275i | \(0.109167\pi\) | |||||||
\(564\) | 9702.00 | 0.724340 | ||||||||
\(565\) | −3769.50 | + | 6528.97i | −0.280680 | + | 0.486152i | ||||
\(566\) | 825.000 | − | 1428.94i | 0.0612674 | − | 0.106118i | ||||
\(567\) | −810.000 | −0.0599944 | ||||||||
\(568\) | 8145.00 | − | 14107.6i | 0.601684 | − | 1.04215i | ||||
\(569\) | −7339.00 | − | 12711.5i | −0.540715 | − | 0.936546i | −0.998863 | − | 0.0476701i | \(-0.984820\pi\) |
0.458148 | − | 0.888876i | \(-0.348513\pi\) | |||||||
\(570\) | 315.000 | + | 545.596i | 0.0231472 | + | 0.0400921i | ||||
\(571\) | −586.000 | −0.0429481 | −0.0214740 | − | 0.999769i | \(-0.506836\pi\) | ||||
−0.0214740 | + | 0.999769i | \(0.506836\pi\) | |||||||
\(572\) | −7007.00 | + | 1733.78i | −0.512198 | + | 0.126736i | ||||
\(573\) | −1788.00 | −0.130357 | ||||||||
\(574\) | −1425.00 | − | 2468.17i | −0.103621 | − | 0.179477i | ||||
\(575\) | −6156.00 | − | 10662.5i | −0.446475 | − | 0.773317i | ||||
\(576\) | 751.500 | − | 1301.64i | 0.0543620 | − | 0.0941577i | ||||
\(577\) | 8939.00 | 0.644949 | 0.322474 | − | 0.946578i | \(-0.395485\pi\) | ||||
0.322474 | + | 0.946578i | \(0.395485\pi\) | |||||||
\(578\) | −1772.00 | + | 3069.19i | −0.127518 | + | 0.220868i | ||||
\(579\) | 589.500 | − | 1021.04i | 0.0423122 | − | 0.0732869i | ||||
\(580\) | 5537.00 | 0.396399 | ||||||||
\(581\) | 2590.00 | − | 4486.01i | 0.184942 | − | 0.320329i | ||||
\(582\) | −1803.00 | − | 3122.89i | −0.128414 | − | 0.222419i | ||||
\(583\) | −5907.00 | − | 10231.2i | −0.419628 | − | 0.726816i | ||||
\(584\) | −12075.0 | −0.855594 | ||||||||
\(585\) | 819.000 | − | 2837.10i | 0.0578829 | − | 0.200512i | ||||
\(586\) | −2991.00 | −0.210848 | ||||||||
\(587\) | 6896.00 | + | 11944.2i | 0.484887 | + | 0.839848i | 0.999849 | − | 0.0173645i | \(-0.00552757\pi\) |
−0.514963 | + | 0.857213i | \(0.672194\pi\) | |||||||
\(588\) | −2551.50 | − | 4419.33i | −0.178949 | − | 0.309949i | ||||
\(589\) | −2940.00 | + | 5092.23i | −0.205672 | + | 0.356234i | ||||
\(590\) | −4032.00 | −0.281347 | ||||||||
\(591\) | 5283.00 | − | 9150.42i | 0.367705 | − | 0.636884i | ||||
\(592\) | −266.500 | + | 461.592i | −0.0185018 | + | 0.0320461i | ||||
\(593\) | 9569.00 | 0.662650 | 0.331325 | − | 0.943517i | \(-0.392504\pi\) | ||||
0.331325 | + | 0.943517i | \(0.392504\pi\) | |||||||
\(594\) | −297.000 | + | 514.419i | −0.0205152 | + | 0.0355335i | ||||
\(595\) | 1295.00 | + | 2243.01i | 0.0892266 | + | 0.154545i | ||||
\(596\) | −2257.50 | − | 3910.10i | −0.155152 | − | 0.268732i | ||||
\(597\) | 6054.00 | 0.415031 | ||||||||
\(598\) | 2106.00 | − | 7295.40i | 0.144015 | − | 0.498881i | ||||
\(599\) | −5192.00 | −0.354156 | −0.177078 | − | 0.984197i | \(-0.556664\pi\) | ||||
−0.177078 | + | 0.984197i | \(0.556664\pi\) | |||||||
\(600\) | 1710.00 | + | 2961.81i | 0.116351 | + | 0.201525i | ||||
\(601\) | 1838.50 | + | 3184.38i | 0.124782 | + | 0.216129i | 0.921648 | − | 0.388028i | \(-0.126844\pi\) |
−0.796866 | + | 0.604156i | \(0.793510\pi\) | |||||||
\(602\) | 1230.00 | − | 2130.42i | 0.0832742 | − | 0.144235i | ||||
\(603\) | 1818.00 | 0.122777 | ||||||||
\(604\) | 10199.0 | − | 17665.2i | 0.687072 | − | 1.19004i | ||||
\(605\) | 2964.50 | − | 5134.66i | 0.199213 | − | 0.345048i | ||||
\(606\) | 1287.00 | 0.0862719 | ||||||||
\(607\) | 5480.00 | − | 9491.64i | 0.366435 | − | 0.634685i | −0.622570 | − | 0.782564i | \(-0.713911\pi\) |
0.989005 | + | 0.147879i | \(0.0472447\pi\) | |||||||
\(608\) | 2415.00 | + | 4182.90i | 0.161087 | + | 0.279012i | ||||
\(609\) | −1695.00 | − | 2935.83i | −0.112783 | − | 0.195346i | ||||
\(610\) | 4445.00 | 0.295037 | ||||||||
\(611\) | 21021.0 | − | 5201.35i | 1.39185 | − | 0.344393i | ||||
\(612\) | −2331.00 | −0.153963 | ||||||||
\(613\) | 13013.5 | + | 22540.0i | 0.857439 | + | 1.48513i | 0.874363 | + | 0.485272i | \(0.161279\pi\) |
−0.0169241 | + | 0.999857i | \(0.505387\pi\) | |||||||
\(614\) | −1211.00 | − | 2097.51i | −0.0795961 | − | 0.137864i | ||||
\(615\) | −2992.50 | + | 5183.16i | −0.196210 | + | 0.339846i | ||||
\(616\) | 3300.00 | 0.215845 | ||||||||
\(617\) | −8840.50 | + | 15312.2i | −0.576832 | + | 0.999102i | 0.419008 | + | 0.907982i | \(0.362378\pi\) |
−0.995840 | + | 0.0911193i | \(0.970956\pi\) | |||||||
\(618\) | −1953.00 | + | 3382.70i | −0.127122 | + | 0.220181i | ||||
\(619\) | 3192.00 | 0.207265 | 0.103633 | − | 0.994616i | \(-0.466953\pi\) | ||||
0.103633 | + | 0.994616i | \(0.466953\pi\) | |||||||
\(620\) | 4802.00 | − | 8317.31i | 0.311053 | − | 0.538760i | ||||
\(621\) | 2187.00 | + | 3788.00i | 0.141323 | + | 0.244778i | ||||
\(622\) | −1701.00 | − | 2946.22i | −0.109653 | − | 0.189924i | ||||
\(623\) | −1940.00 | −0.124758 | ||||||||
\(624\) | 1599.00 | − | 5539.10i | 0.102582 | − | 0.355355i | ||||
\(625\) | −349.000 | −0.0223360 | ||||||||
\(626\) | 1155.00 | + | 2000.52i | 0.0737429 | + | 0.127727i | ||||
\(627\) | 990.000 | + | 1714.73i | 0.0630571 | + | 0.109218i | ||||
\(628\) | −7276.50 | + | 12603.3i | −0.462363 | + | 0.800836i | ||||
\(629\) | 481.000 | 0.0304908 | ||||||||
\(630\) | −315.000 | + | 545.596i | −0.0199205 | + | 0.0345033i | ||||
\(631\) | −3790.00 | + | 6564.47i | −0.239109 | + | 0.414148i | −0.960459 | − | 0.278422i | \(-0.910189\pi\) |
0.721350 | + | 0.692571i | \(0.243522\pi\) | |||||||
\(632\) | 13260.0 | 0.834580 | ||||||||
\(633\) | −240.000 | + | 415.692i | −0.0150697 | + | 0.0261016i | ||||
\(634\) | −128.500 | − | 222.569i | −0.00804951 | − | 0.0139422i | ||||
\(635\) | 3458.00 | + | 5989.43i | 0.216105 | + | 0.374304i | ||||
\(636\) | 11277.0 | 0.703085 | ||||||||
\(637\) | −7897.50 | − | 8207.32i | −0.491225 | − | 0.510496i | ||||
\(638\) | −2486.00 | −0.154266 | ||||||||
\(639\) | 4887.00 | + | 8464.53i | 0.302546 | + | 0.524025i | ||||
\(640\) | −5092.50 | − | 8820.47i | −0.314529 | − | 0.544781i | ||||
\(641\) | 13853.5 | − | 23995.0i | 0.853635 | − | 1.47854i | −0.0242696 | − | 0.999705i | \(-0.507726\pi\) |
0.877905 | − | 0.478835i | \(-0.158941\pi\) | |||||||
\(642\) | 4014.00 | 0.246760 | ||||||||
\(643\) | −5608.00 | + | 9713.34i | −0.343947 | + | 0.595734i | −0.985162 | − | 0.171628i | \(-0.945097\pi\) |
0.641215 | + | 0.767361i | \(0.278431\pi\) | |||||||
\(644\) | 5670.00 | − | 9820.73i | 0.346940 | − | 0.600918i | ||||
\(645\) | −5166.00 | −0.315366 | ||||||||
\(646\) | 555.000 | − | 961.288i | 0.0338021 | − | 0.0585470i | ||||
\(647\) | 1268.00 | + | 2196.24i | 0.0770483 | + | 0.133452i | 0.901975 | − | 0.431788i | \(-0.142117\pi\) |
−0.824927 | + | 0.565239i | \(0.808784\pi\) | |||||||
\(648\) | −607.500 | − | 1052.22i | −0.0368285 | − | 0.0637888i | ||||
\(649\) | −12672.0 | −0.766440 | ||||||||
\(650\) | 2470.00 | + | 2566.90i | 0.149048 | + | 0.154895i | ||||
\(651\) | −5880.00 | −0.354002 | ||||||||
\(652\) | 5950.00 | + | 10305.7i | 0.357393 | + | 0.619022i | ||||
\(653\) | −8865.00 | − | 15354.6i | −0.531262 | − | 0.920173i | −0.999334 | − | 0.0364829i | \(-0.988385\pi\) |
0.468072 | − | 0.883690i | \(-0.344949\pi\) | |||||||
\(654\) | −1551.00 | + | 2686.41i | −0.0927353 | + | 0.160622i | ||||
\(655\) | 3920.00 | 0.233843 | ||||||||
\(656\) | −5842.50 | + | 10119.5i | −0.347731 | + | 0.602287i | ||||
\(657\) | 3622.50 | − | 6274.35i | 0.215110 | − | 0.372581i | ||||
\(658\) | −4620.00 | −0.273718 | ||||||||
\(659\) | −9460.00 | + | 16385.2i | −0.559195 | + | 0.968554i | 0.438369 | + | 0.898795i | \(0.355556\pi\) |
−0.997564 | + | 0.0697586i | \(0.977777\pi\) | |||||||
\(660\) | −1617.00 | − | 2800.73i | −0.0953661 | − | 0.165179i | ||||
\(661\) | −2620.50 | − | 4538.84i | −0.154199 | − | 0.267081i | 0.778568 | − | 0.627560i | \(-0.215946\pi\) |
−0.932767 | + | 0.360480i | \(0.882613\pi\) | |||||||
\(662\) | −1028.00 | −0.0603540 | ||||||||
\(663\) | −5050.50 | + | 1249.67i | −0.295845 | + | 0.0732026i | ||||
\(664\) | 7770.00 | 0.454118 | ||||||||
\(665\) | 1050.00 | + | 1818.65i | 0.0612290 | + | 0.106052i | ||||
\(666\) | 58.5000 | + | 101.325i | 0.00340365 | + | 0.00589529i | ||||
\(667\) | −9153.00 | + | 15853.5i | −0.531343 | + | 0.920313i | ||||
\(668\) | −25760.0 | −1.49204 | ||||||||
\(669\) | −6108.00 | + | 10579.4i | −0.352988 | + | 0.611393i | ||||
\(670\) | 707.000 | − | 1224.56i | 0.0407669 | − | 0.0706103i | ||||
\(671\) | 13970.0 | 0.803735 | ||||||||
\(672\) | −2415.00 | + | 4182.90i | −0.138632 | + | 0.240118i | ||||
\(673\) | −10233.5 | − | 17724.9i | −0.586140 | − | 1.01522i | −0.994732 | − | 0.102508i | \(-0.967313\pi\) |
0.408592 | − | 0.912717i | \(-0.366020\pi\) | |||||||
\(674\) | 1243.50 | + | 2153.81i | 0.0710650 | + | 0.123088i | ||||
\(675\) | −2052.00 | −0.117010 | ||||||||
\(676\) | 591.500 | − | 15367.6i | 0.0336538 | − | 0.874353i | ||||
\(677\) | −70.0000 | −0.00397388 | −0.00198694 | − | 0.999998i | \(-0.500632\pi\) | ||||
−0.00198694 | + | 0.999998i | \(0.500632\pi\) | |||||||
\(678\) | 1615.50 | + | 2798.13i | 0.0915087 | + | 0.158498i | ||||
\(679\) | −6010.00 | − | 10409.6i | −0.339680 | − | 0.588343i | ||||
\(680\) | −1942.50 | + | 3364.51i | −0.109546 | + | 0.189740i | ||||
\(681\) | −17382.0 | −0.978091 | ||||||||
\(682\) | −2156.00 | + | 3734.30i | −0.121052 | + | 0.209668i | ||||
\(683\) | −3216.00 | + | 5570.28i | −0.180171 | + | 0.312065i | −0.941939 | − | 0.335785i | \(-0.890998\pi\) |
0.761768 | + | 0.647850i | \(0.224332\pi\) | |||||||
\(684\) | −1890.00 | −0.105652 | ||||||||
\(685\) | 1816.50 | − | 3146.27i | 0.101321 | − | 0.175493i | ||||
\(686\) | 2930.00 | + | 5074.91i | 0.163073 | + | 0.282450i | ||||
\(687\) | −9723.00 | − | 16840.7i | −0.539964 | − | 0.935246i | ||||
\(688\) | −10086.0 | −0.558903 | ||||||||
\(689\) | 24433.5 | − | 6045.72i | 1.35100 | − | 0.334287i | ||||
\(690\) | 3402.00 | 0.187698 | ||||||||
\(691\) | 3333.00 | + | 5772.93i | 0.183492 | + | 0.317818i | 0.943067 | − | 0.332601i | \(-0.107926\pi\) |
−0.759575 | + | 0.650420i | \(0.774593\pi\) | |||||||
\(692\) | 14511.0 | + | 25133.8i | 0.797147 | + | 1.38070i | ||||
\(693\) | −990.000 | + | 1714.73i | −0.0542669 | + | 0.0939931i | ||||
\(694\) | 2850.00 | 0.155885 | ||||||||
\(695\) | 1218.00 | − | 2109.64i | 0.0664768 | − | 0.115141i | ||||
\(696\) | 2542.50 | − | 4403.74i | 0.138467 | − | 0.239832i | ||||
\(697\) | 10545.0 | 0.573056 | ||||||||
\(698\) | −1009.00 | + | 1747.64i | −0.0547152 | + | 0.0947695i | ||||
\(699\) | −10335.0 | − | 17900.7i | −0.559235 | − | 0.968624i | ||||
\(700\) | 2660.00 | + | 4607.26i | 0.143626 | + | 0.248768i | ||||
\(701\) | −14054.0 | −0.757221 | −0.378611 | − | 0.925556i | \(-0.623598\pi\) | ||||
−0.378611 | + | 0.925556i | \(0.623598\pi\) | |||||||
\(702\) | −877.500 | − | 911.925i | −0.0471782 | − | 0.0490290i | ||||
\(703\) | 390.000 | 0.0209234 | ||||||||
\(704\) | −1837.00 | − | 3181.78i | −0.0983445 | − | 0.170338i | ||||
\(705\) | 4851.00 | + | 8402.18i | 0.259148 | + | 0.448857i | ||||
\(706\) | −2643.50 | + | 4578.68i | −0.140920 | + | 0.244080i | ||||
\(707\) | 4290.00 | 0.228207 | ||||||||
\(708\) | 6048.00 | − | 10475.4i | 0.321042 | − | 0.556061i | ||||
\(709\) | 35.5000 | − | 61.4878i | 0.00188044 | − | 0.00325701i | −0.865084 | − | 0.501628i | \(-0.832735\pi\) |
0.866964 | + | 0.498371i | \(0.166068\pi\) | |||||||
\(710\) | 7602.00 | 0.401828 | ||||||||
\(711\) | −3978.00 | + | 6890.10i | −0.209827 | + | 0.363430i | ||||
\(712\) | −1455.00 | − | 2520.13i | −0.0765849 | − | 0.132649i | ||||
\(713\) | 15876.0 | + | 27498.0i | 0.833886 | + | 1.44433i | ||||
\(714\) | 1110.00 | 0.0581803 | ||||||||
\(715\) | −5005.00 | − | 5201.35i | −0.261785 | − | 0.272055i | ||||
\(716\) | −25718.0 | −1.34236 | ||||||||
\(717\) | −3699.00 | − | 6406.86i | −0.192666 | − | 0.333708i | ||||
\(718\) | −3639.00 | − | 6302.93i | −0.189145 | − | 0.327609i | ||||
\(719\) | −1968.00 | + | 3408.68i | −0.102078 | + | 0.176804i | −0.912541 | − | 0.408986i | \(-0.865882\pi\) |
0.810463 | + | 0.585790i | \(0.199216\pi\) | |||||||
\(720\) | 2583.00 | 0.133698 | ||||||||
\(721\) | −6510.00 | + | 11275.7i | −0.336262 | + | 0.582423i | ||||
\(722\) | −2979.50 | + | 5160.65i | −0.153581 | + | 0.266010i | ||||
\(723\) | −10851.0 | −0.558165 | ||||||||
\(724\) | −11490.5 | + | 19902.1i | −0.589836 | + | 1.02163i | ||||
\(725\) | −4294.00 | − | 7437.43i | −0.219966 | − | 0.380992i | ||||
\(726\) | −1270.50 | − | 2200.57i | −0.0649486 | − | 0.112494i | ||||
\(727\) | 34202.0 | 1.74482 | 0.872409 | − | 0.488777i | \(-0.162557\pi\) | ||||
0.872409 | + | 0.488777i | \(0.162557\pi\) | |||||||
\(728\) | −1950.00 | + | 6755.00i | −0.0992745 | + | 0.343897i | ||||
\(729\) | 729.000 | 0.0370370 | ||||||||
\(730\) | −2817.50 | − | 4880.05i | −0.142850 | − | 0.247423i | ||||
\(731\) | 4551.00 | + | 7882.56i | 0.230267 | + | 0.398833i | ||||
\(732\) | −6667.50 | + | 11548.4i | −0.336664 | + | 0.583119i | ||||
\(733\) | −27363.0 | −1.37882 | −0.689410 | − | 0.724371i | \(-0.742130\pi\) | ||||
−0.689410 | + | 0.724371i | \(0.742130\pi\) | |||||||
\(734\) | −2101.00 | + | 3639.04i | −0.105653 | + | 0.182996i | ||||
\(735\) | 2551.50 | − | 4419.33i | 0.128046 | − | 0.221781i | ||||
\(736\) | 26082.0 | 1.30624 | ||||||||
\(737\) | 2222.00 | − | 3848.62i | 0.111056 | − | 0.192355i | ||||
\(738\) | 1282.50 | + | 2221.36i | 0.0639695 | + | 0.110798i | ||||
\(739\) | −10888.0 | − | 18858.6i | −0.541978 | − | 0.938733i | −0.998790 | − | 0.0491701i | \(-0.984342\pi\) |
0.456813 | − | 0.889563i | \(-0.348991\pi\) | |||||||
\(740\) | −637.000 | −0.0316440 | ||||||||
\(741\) | −4095.00 | + | 1013.25i | −0.203014 | + | 0.0502330i | ||||
\(742\) | −5370.00 | −0.265686 | ||||||||
\(743\) | −1242.00 | − | 2151.21i | −0.0613251 | − | 0.106218i | 0.833733 | − | 0.552168i | \(-0.186199\pi\) |
−0.895058 | + | 0.445950i | \(0.852866\pi\) | |||||||
\(744\) | −4410.00 | − | 7638.34i | −0.217310 | − | 0.376392i | ||||
\(745\) | 2257.50 | − | 3910.10i | 0.111018 | − | 0.192289i | ||||
\(746\) | 1583.00 | 0.0776914 | ||||||||
\(747\) | −2331.00 | + | 4037.41i | −0.114172 | + | 0.197753i | ||||
\(748\) | −2849.00 | + | 4934.61i | −0.139264 | + | 0.241213i | ||||
\(749\) | 13380.0 | 0.652730 | ||||||||
\(750\) | −2110.50 | + | 3655.49i | −0.102753 | + | 0.177973i | ||||
\(751\) | −16453.0 | − | 28497.4i | −0.799439 | − | 1.38467i | −0.919982 | − | 0.391960i | \(-0.871797\pi\) |
0.120543 | − | 0.992708i | \(-0.461536\pi\) | |||||||
\(752\) | 9471.00 | + | 16404.3i | 0.459271 | + | 0.795481i | ||||
\(753\) | 14580.0 | 0.705611 | ||||||||
\(754\) | 1469.00 | − | 5088.77i | 0.0709520 | − | 0.245785i | ||||
\(755\) | 20398.0 | 0.983257 | ||||||||
\(756\) | −945.000 | − | 1636.79i | −0.0454621 | − | 0.0787426i | ||||
\(757\) | 1957.00 | + | 3389.62i | 0.0939609 | + | 0.162745i | 0.909174 | − | 0.416415i | \(-0.136714\pi\) |
−0.815214 | + | 0.579160i | \(0.803380\pi\) | |||||||
\(758\) | −1026.00 | + | 1777.08i | −0.0491636 | + | 0.0851538i | ||||
\(759\) | 10692.0 | 0.511324 | ||||||||
\(760\) | −1575.00 | + | 2727.98i | −0.0751727 | + | 0.130203i | ||||
\(761\) | 16519.0 | − | 28611.7i | 0.786877 | − | 1.36291i | −0.140995 | − | 0.990010i | \(-0.545030\pi\) |
0.927871 | − | 0.372900i | \(-0.121637\pi\) | |||||||
\(762\) | 2964.00 | 0.140911 | ||||||||
\(763\) | −5170.00 | + | 8954.70i | −0.245303 | + | 0.424878i | ||||
\(764\) | −2086.00 | − | 3613.06i | −0.0987812 | − | 0.171094i | ||||
\(765\) | −1165.50 | − | 2018.71i | −0.0550833 | − | 0.0954071i | ||||
\(766\) | 6872.00 | 0.324145 | ||||||||
\(767\) | 7488.00 | − | 25939.2i | 0.352511 | − | 1.22113i | ||||