Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,4,Mod(6,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.6");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.g (of order \(11\), degree \(10\), 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: | \(6.78521965066\) |
Analytic rank: | \(0\) |
Dimension: | \(110\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 36.9 | ||
Character | \(\chi\) | \(=\) | 115.36 |
Dual form | 115.4.g.a.16.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.11818 | + | 2.44451i | 0.748889 | + | 0.864263i | 0.994460 | − | 0.105115i | \(-0.0335211\pi\) |
−0.245572 | + | 0.969378i | \(0.578976\pi\) | |||||||
\(3\) | −0.807164 | − | 0.518733i | −0.155339 | − | 0.0998301i | 0.460662 | − | 0.887575i | \(-0.347612\pi\) |
−0.616001 | + | 0.787745i | \(0.711248\pi\) | |||||||
\(4\) | −0.350419 | + | 2.43722i | −0.0438024 | + | 0.304652i | ||||
\(5\) | 2.07708 | − | 4.54816i | 0.185779 | − | 0.406800i | ||||
\(6\) | −0.441670 | − | 3.07188i | −0.0300519 | − | 0.209015i | ||||
\(7\) | 31.6351 | + | 9.28890i | 1.70813 | + | 0.501553i | 0.982458 | − | 0.186484i | \(-0.0597091\pi\) |
0.725676 | + | 0.688037i | \(0.241527\pi\) | |||||||
\(8\) | 15.0685 | − | 9.68396i | 0.665941 | − | 0.427974i | ||||
\(9\) | −10.8338 | − | 23.7227i | −0.401251 | − | 0.878617i | ||||
\(10\) | 15.5176 | − | 4.55638i | 0.490710 | − | 0.144085i | ||||
\(11\) | −43.6869 | + | 50.4173i | −1.19746 | + | 1.38195i | −0.292603 | + | 0.956234i | \(0.594522\pi\) |
−0.904859 | + | 0.425711i | \(0.860024\pi\) | |||||||
\(12\) | 1.54711 | − | 1.78546i | 0.0372177 | − | 0.0429515i | ||||
\(13\) | 74.3430 | − | 21.8291i | 1.58608 | − | 0.465715i | 0.634450 | − | 0.772964i | \(-0.281227\pi\) |
0.951629 | + | 0.307249i | \(0.0994086\pi\) | |||||||
\(14\) | 44.3019 | + | 97.0077i | 0.845728 | + | 1.85189i | ||||
\(15\) | −4.03582 | + | 2.59366i | −0.0694696 | + | 0.0446454i | ||||
\(16\) | 74.4906 | + | 21.8724i | 1.16392 | + | 0.341757i | ||||
\(17\) | 7.85142 | + | 54.6078i | 0.112015 | + | 0.779079i | 0.965955 | + | 0.258709i | \(0.0832970\pi\) |
−0.853941 | + | 0.520370i | \(0.825794\pi\) | |||||||
\(18\) | 35.0423 | − | 76.7320i | 0.458864 | − | 1.00477i | ||||
\(19\) | 2.28138 | − | 15.8673i | 0.0275466 | − | 0.191590i | −0.971402 | − | 0.237442i | \(-0.923691\pi\) |
0.998948 | + | 0.0458515i | \(0.0146001\pi\) | |||||||
\(20\) | 10.3570 | + | 6.65605i | 0.115795 | + | 0.0744169i | ||||
\(21\) | −20.7162 | − | 23.9078i | −0.215269 | − | 0.248434i | ||||
\(22\) | −215.782 | −2.09113 | ||||||||
\(23\) | −107.980 | + | 22.5249i | −0.978928 | + | 0.204207i | ||||
\(24\) | −17.1862 | −0.146171 | ||||||||
\(25\) | −16.3715 | − | 18.8937i | −0.130972 | − | 0.151150i | ||||
\(26\) | 210.833 | + | 135.494i | 1.59030 | + | 1.02202i | ||||
\(27\) | −7.24788 | + | 50.4101i | −0.0516613 | + | 0.359312i | ||||
\(28\) | −33.7246 | + | 73.8466i | −0.227620 | + | 0.498418i | ||||
\(29\) | −35.9668 | − | 250.154i | −0.230305 | − | 1.60181i | −0.696787 | − | 0.717279i | \(-0.745388\pi\) |
0.466481 | − | 0.884531i | \(-0.345522\pi\) | |||||||
\(30\) | −14.8888 | − | 4.37175i | −0.0906104 | − | 0.0266056i | ||||
\(31\) | −70.7442 | + | 45.4645i | −0.409872 | + | 0.263409i | −0.729289 | − | 0.684205i | \(-0.760149\pi\) |
0.319417 | + | 0.947614i | \(0.396513\pi\) | |||||||
\(32\) | 44.7898 | + | 98.0759i | 0.247431 | + | 0.541798i | ||||
\(33\) | 61.4156 | − | 18.0332i | 0.323972 | − | 0.0951268i | ||||
\(34\) | −116.859 | + | 134.862i | −0.589443 | + | 0.680254i | ||||
\(35\) | 107.956 | − | 124.588i | 0.521368 | − | 0.601690i | ||||
\(36\) | 61.6137 | − | 18.0914i | 0.285249 | − | 0.0837566i | ||||
\(37\) | 41.4347 | + | 90.7294i | 0.184103 | + | 0.403130i | 0.979070 | − | 0.203523i | \(-0.0652390\pi\) |
−0.794967 | + | 0.606653i | \(0.792512\pi\) | |||||||
\(38\) | 43.6202 | − | 28.0330i | 0.186214 | − | 0.119672i | ||||
\(39\) | −71.3304 | − | 20.9445i | −0.292872 | − | 0.0859949i | ||||
\(40\) | −12.7457 | − | 88.6484i | −0.0503819 | − | 0.350414i | ||||
\(41\) | 48.6556 | − | 106.541i | 0.185335 | − | 0.405827i | −0.794044 | − | 0.607861i | \(-0.792028\pi\) |
0.979378 | + | 0.202034i | \(0.0647552\pi\) | |||||||
\(42\) | 14.5621 | − | 101.282i | 0.0534997 | − | 0.372099i | ||||
\(43\) | −215.405 | − | 138.432i | −0.763928 | − | 0.490947i | 0.0997364 | − | 0.995014i | \(-0.468200\pi\) |
−0.863664 | + | 0.504067i | \(0.831836\pi\) | |||||||
\(44\) | −107.569 | − | 124.142i | −0.368561 | − | 0.425342i | ||||
\(45\) | −130.397 | −0.431965 | ||||||||
\(46\) | −283.782 | − | 216.245i | −0.909597 | − | 0.693123i | ||||
\(47\) | −255.532 | −0.793045 | −0.396523 | − | 0.918025i | \(-0.629783\pi\) | ||||
−0.396523 | + | 0.918025i | \(0.629783\pi\) | |||||||
\(48\) | −48.7802 | − | 56.2954i | −0.146684 | − | 0.169282i | ||||
\(49\) | 625.945 | + | 402.270i | 1.82491 | + | 1.17280i | ||||
\(50\) | 11.5081 | − | 80.0406i | 0.0325498 | − | 0.226389i | ||||
\(51\) | 21.9895 | − | 48.1503i | 0.0603754 | − | 0.132204i | ||||
\(52\) | 27.1510 | + | 188.839i | 0.0724071 | + | 0.503602i | ||||
\(53\) | −121.070 | − | 35.5492i | −0.313777 | − | 0.0921333i | 0.121052 | − | 0.992646i | \(-0.461373\pi\) |
−0.434829 | + | 0.900513i | \(0.643191\pi\) | |||||||
\(54\) | −138.580 | + | 89.0600i | −0.349229 | + | 0.224436i | ||||
\(55\) | 138.565 | + | 303.415i | 0.339711 | + | 0.743864i | ||||
\(56\) | 566.648 | − | 166.383i | 1.35217 | − | 0.397033i | ||||
\(57\) | −10.0724 | + | 11.6241i | −0.0234055 | + | 0.0270114i | ||||
\(58\) | 535.320 | − | 617.792i | 1.21191 | − | 1.39862i | ||||
\(59\) | −652.592 | + | 191.618i | −1.44000 | + | 0.422823i | −0.906223 | − | 0.422799i | \(-0.861047\pi\) |
−0.533781 | + | 0.845623i | \(0.679229\pi\) | |||||||
\(60\) | −4.90710 | − | 10.7450i | −0.0105584 | − | 0.0231197i | ||||
\(61\) | −189.119 | + | 121.540i | −0.396955 | + | 0.255108i | −0.723856 | − | 0.689951i | \(-0.757632\pi\) |
0.326901 | + | 0.945059i | \(0.393996\pi\) | |||||||
\(62\) | −260.987 | − | 76.6327i | −0.534603 | − | 0.156974i | ||||
\(63\) | −122.370 | − | 851.102i | −0.244717 | − | 1.70204i | ||||
\(64\) | 113.133 | − | 247.726i | 0.220963 | − | 0.483841i | ||||
\(65\) | 55.1338 | − | 383.464i | 0.105208 | − | 0.731737i | ||||
\(66\) | 174.171 | + | 111.933i | 0.324834 | + | 0.208758i | ||||
\(67\) | 133.508 | + | 154.077i | 0.243442 | + | 0.280947i | 0.864301 | − | 0.502975i | \(-0.167761\pi\) |
−0.620859 | + | 0.783923i | \(0.713216\pi\) | |||||||
\(68\) | −135.843 | −0.242255 | ||||||||
\(69\) | 98.8417 | + | 37.8313i | 0.172451 | + | 0.0660052i | ||||
\(70\) | 533.225 | 0.910465 | ||||||||
\(71\) | 273.764 | + | 315.941i | 0.457603 | + | 0.528102i | 0.936922 | − | 0.349539i | \(-0.113662\pi\) |
−0.479319 | + | 0.877641i | \(0.659116\pi\) | |||||||
\(72\) | −392.978 | − | 252.552i | −0.643235 | − | 0.413382i | ||||
\(73\) | −16.3078 | + | 113.423i | −0.0261463 | + | 0.181852i | −0.998709 | − | 0.0507873i | \(-0.983827\pi\) |
0.972563 | + | 0.232639i | \(0.0747360\pi\) | |||||||
\(74\) | −134.023 | + | 293.468i | −0.210538 | + | 0.461014i | ||||
\(75\) | 3.41370 | + | 23.7428i | 0.00525573 | + | 0.0365544i | ||||
\(76\) | 37.8728 | + | 11.1204i | 0.0571619 | + | 0.0167843i | ||||
\(77\) | −1850.36 | + | 1189.15i | −2.73855 | + | 1.75996i | ||||
\(78\) | −99.8914 | − | 218.732i | −0.145006 | − | 0.317519i | ||||
\(79\) | −1044.42 | + | 306.669i | −1.48742 | + | 0.436746i | −0.921718 | − | 0.387862i | \(-0.873214\pi\) |
−0.565704 | + | 0.824608i | \(0.691396\pi\) | |||||||
\(80\) | 254.202 | − | 293.365i | 0.355258 | − | 0.409990i | ||||
\(81\) | −429.117 | + | 495.227i | −0.588637 | + | 0.679324i | ||||
\(82\) | 363.501 | − | 106.733i | 0.489536 | − | 0.143741i | ||||
\(83\) | 121.099 | + | 265.170i | 0.160149 | + | 0.350677i | 0.972648 | − | 0.232286i | \(-0.0746205\pi\) |
−0.812499 | + | 0.582963i | \(0.801893\pi\) | |||||||
\(84\) | 65.5280 | − | 42.1123i | 0.0851153 | − | 0.0547003i | ||||
\(85\) | 264.673 | + | 77.7151i | 0.337739 | + | 0.0991692i | ||||
\(86\) | −117.867 | − | 819.782i | −0.147790 | − | 1.02790i | ||||
\(87\) | −100.732 | + | 220.573i | −0.124134 | + | 0.271815i | ||||
\(88\) | −170.058 | + | 1182.78i | −0.206002 | + | 1.43278i | ||||
\(89\) | −450.737 | − | 289.671i | −0.536832 | − | 0.345001i | 0.243967 | − | 0.969784i | \(-0.421551\pi\) |
−0.780799 | + | 0.624783i | \(0.785188\pi\) | |||||||
\(90\) | −276.204 | − | 318.756i | −0.323494 | − | 0.373332i | ||||
\(91\) | 2554.61 | 2.94282 | ||||||||
\(92\) | −17.0599 | − | 271.064i | −0.0193329 | − | 0.307178i | ||||
\(93\) | 80.6860 | 0.0899651 | ||||||||
\(94\) | −541.261 | − | 624.649i | −0.593903 | − | 0.685400i | ||||
\(95\) | −67.4286 | − | 43.3338i | −0.0728214 | − | 0.0467995i | ||||
\(96\) | 14.7225 | − | 102.397i | 0.0156522 | − | 0.108863i | ||||
\(97\) | 122.812 | − | 268.921i | 0.128553 | − | 0.281492i | −0.834401 | − | 0.551158i | \(-0.814186\pi\) |
0.962954 | + | 0.269666i | \(0.0869133\pi\) | |||||||
\(98\) | 342.509 | + | 2382.21i | 0.353048 | + | 2.45550i | ||||
\(99\) | 1669.33 | + | 490.159i | 1.69468 | + | 0.497604i | ||||
\(100\) | 51.7851 | − | 33.2803i | 0.0517851 | − | 0.0332803i | ||||
\(101\) | −88.7561 | − | 194.349i | −0.0874412 | − | 0.191470i | 0.860860 | − | 0.508843i | \(-0.169927\pi\) |
−0.948301 | + | 0.317373i | \(0.897199\pi\) | |||||||
\(102\) | 164.281 | − | 48.2373i | 0.159473 | − | 0.0468256i | ||||
\(103\) | −174.315 | + | 201.171i | −0.166755 | + | 0.192446i | −0.832977 | − | 0.553308i | \(-0.813365\pi\) |
0.666221 | + | 0.745754i | \(0.267911\pi\) | |||||||
\(104\) | 908.847 | − | 1048.87i | 0.856921 | − | 0.988940i | ||||
\(105\) | −151.766 | + | 44.5624i | −0.141055 | + | 0.0414176i | ||||
\(106\) | −169.546 | − | 371.255i | −0.155357 | − | 0.340184i | ||||
\(107\) | 1248.35 | − | 802.267i | 1.12788 | − | 0.724842i | 0.162761 | − | 0.986666i | \(-0.447960\pi\) |
0.965116 | + | 0.261823i | \(0.0843238\pi\) | |||||||
\(108\) | −120.321 | − | 35.3294i | −0.107202 | − | 0.0314775i | ||||
\(109\) | 120.961 | + | 841.301i | 0.106293 | + | 0.739284i | 0.971357 | + | 0.237623i | \(0.0763684\pi\) |
−0.865064 | + | 0.501661i | \(0.832723\pi\) | |||||||
\(110\) | −448.195 | + | 981.411i | −0.388489 | + | 0.850671i | ||||
\(111\) | 13.6197 | − | 94.7270i | 0.0116462 | − | 0.0810008i | ||||
\(112\) | 2153.35 | + | 1383.87i | 1.81672 | + | 1.16753i | ||||
\(113\) | 628.595 | + | 725.437i | 0.523303 | + | 0.603923i | 0.954455 | − | 0.298356i | \(-0.0964382\pi\) |
−0.431152 | + | 0.902279i | \(0.641893\pi\) | |||||||
\(114\) | −49.7503 | −0.0408732 | ||||||||
\(115\) | −121.835 | + | 537.895i | −0.0987930 | + | 0.436165i | ||||
\(116\) | 622.284 | 0.498083 | ||||||||
\(117\) | −1323.26 | − | 1527.12i | −1.04560 | − | 1.20669i | ||||
\(118\) | −1850.72 | − | 1189.38i | −1.44383 | − | 0.927895i | ||||
\(119\) | −258.866 | + | 1800.45i | −0.199414 | + | 1.38695i | ||||
\(120\) | −35.6969 | + | 78.1654i | −0.0271556 | + | 0.0594624i | ||||
\(121\) | −443.944 | − | 3087.70i | −0.333542 | − | 2.31983i | ||||
\(122\) | −697.693 | − | 204.861i | −0.517755 | − | 0.152027i | ||||
\(123\) | −94.5392 | + | 60.7567i | −0.0693034 | + | 0.0445386i | ||||
\(124\) | −86.0169 | − | 188.351i | −0.0622947 | − | 0.136406i | ||||
\(125\) | −119.937 | + | 35.2166i | −0.0858197 | + | 0.0251989i | ||||
\(126\) | 1821.32 | − | 2101.92i | 1.28775 | − | 1.48614i | ||||
\(127\) | −1189.27 | + | 1372.49i | −0.830951 | + | 0.958968i | −0.999643 | − | 0.0267006i | \(-0.991500\pi\) |
0.168693 | + | 0.985669i | \(0.446045\pi\) | |||||||
\(128\) | 1672.82 | − | 491.184i | 1.15514 | − | 0.339179i | ||||
\(129\) | 102.058 | + | 223.475i | 0.0696563 | + | 0.152526i | ||||
\(130\) | 1054.16 | − | 677.470i | 0.711202 | − | 0.457062i | ||||
\(131\) | 893.722 | + | 262.421i | 0.596068 | + | 0.175021i | 0.565831 | − | 0.824521i | \(-0.308556\pi\) |
0.0302371 | + | 0.999543i | \(0.490374\pi\) | |||||||
\(132\) | 22.4298 | + | 156.002i | 0.0147899 | + | 0.102866i | ||||
\(133\) | 219.562 | − | 480.773i | 0.143146 | − | 0.313446i | ||||
\(134\) | −93.8475 | + | 652.724i | −0.0605014 | + | 0.420797i | ||||
\(135\) | 214.219 | + | 137.670i | 0.136571 | + | 0.0877686i | ||||
\(136\) | 647.129 | + | 746.827i | 0.408021 | + | 0.470882i | ||||
\(137\) | −490.412 | −0.305830 | −0.152915 | − | 0.988239i | \(-0.548866\pi\) | ||||
−0.152915 | + | 0.988239i | \(0.548866\pi\) | |||||||
\(138\) | 116.885 | + | 321.753i | 0.0721010 | + | 0.198474i | ||||
\(139\) | 1210.77 | 0.738822 | 0.369411 | − | 0.929266i | \(-0.379560\pi\) | ||||
0.369411 | + | 0.929266i | \(0.379560\pi\) | |||||||
\(140\) | 265.818 | + | 306.770i | 0.160469 | + | 0.185191i | ||||
\(141\) | 206.256 | + | 132.553i | 0.123191 | + | 0.0791698i | ||||
\(142\) | −192.438 | + | 1338.44i | −0.113726 | + | 0.790979i | ||||
\(143\) | −2147.25 | + | 4701.82i | −1.25568 | + | 2.74955i | ||||
\(144\) | −288.143 | − | 2004.08i | −0.166749 | − | 1.15977i | ||||
\(145\) | −1212.45 | − | 356.007i | −0.694402 | − | 0.203895i | ||||
\(146\) | −311.806 | + | 200.386i | −0.176748 | + | 0.113589i | ||||
\(147\) | −296.569 | − | 649.396i | −0.166399 | − | 0.364362i | ||||
\(148\) | −235.647 | + | 69.1922i | −0.130879 | + | 0.0384295i | ||||
\(149\) | 119.076 | − | 137.421i | 0.0654705 | − | 0.0755569i | −0.722070 | − | 0.691821i | \(-0.756809\pi\) |
0.787540 | + | 0.616264i | \(0.211354\pi\) | |||||||
\(150\) | −50.8086 | + | 58.6362i | −0.0276567 | + | 0.0319175i | ||||
\(151\) | 1383.36 | − | 406.192i | 0.745540 | − | 0.218910i | 0.113169 | − | 0.993576i | \(-0.463900\pi\) |
0.632371 | + | 0.774665i | \(0.282082\pi\) | |||||||
\(152\) | −119.282 | − | 261.190i | −0.0636514 | − | 0.139377i | ||||
\(153\) | 1210.38 | − | 777.866i | 0.639566 | − | 0.411024i | ||||
\(154\) | −6826.28 | − | 2004.38i | −3.57193 | − | 1.04881i | ||||
\(155\) | 59.8389 | + | 416.189i | 0.0310089 | + | 0.215672i | ||||
\(156\) | 76.0419 | − | 166.508i | 0.0390271 | − | 0.0854574i | ||||
\(157\) | 220.377 | − | 1532.76i | 0.112026 | − | 0.779155i | −0.853919 | − | 0.520406i | \(-0.825781\pi\) |
0.965945 | − | 0.258749i | \(-0.0833102\pi\) | |||||||
\(158\) | −2961.92 | − | 1903.51i | −1.49138 | − | 0.958450i | ||||
\(159\) | 79.2824 | + | 91.4968i | 0.0395441 | + | 0.0456363i | ||||
\(160\) | 539.097 | 0.266371 | ||||||||
\(161\) | −3625.18 | − | 290.436i | −1.77456 | − | 0.142171i | ||||
\(162\) | −2119.53 | −1.02794 | ||||||||
\(163\) | 1209.06 | + | 1395.33i | 0.580985 | + | 0.670493i | 0.967816 | − | 0.251658i | \(-0.0809757\pi\) |
−0.386831 | + | 0.922151i | \(0.626430\pi\) | |||||||
\(164\) | 242.614 | + | 155.918i | 0.115518 | + | 0.0742389i | ||||
\(165\) | 45.5467 | − | 316.784i | 0.0214897 | − | 0.149464i | ||||
\(166\) | −391.700 | + | 857.704i | −0.183144 | + | 0.401029i | ||||
\(167\) | −574.070 | − | 3992.74i | −0.266005 | − | 1.85011i | −0.485173 | − | 0.874418i | \(-0.661243\pi\) |
0.219168 | − | 0.975687i | \(-0.429666\pi\) | |||||||
\(168\) | −543.685 | − | 159.640i | −0.249680 | − | 0.0733127i | ||||
\(169\) | 3202.13 | − | 2057.89i | 1.45750 | − | 0.936680i | ||||
\(170\) | 370.650 | + | 811.610i | 0.167221 | + | 0.366162i | ||||
\(171\) | −401.132 | + | 117.783i | −0.179388 | + | 0.0526730i | ||||
\(172\) | 412.872 | − | 476.479i | 0.183030 | − | 0.211228i | ||||
\(173\) | 455.491 | − | 525.664i | 0.200175 | − | 0.231015i | −0.646783 | − | 0.762674i | \(-0.723886\pi\) |
0.846958 | + | 0.531660i | \(0.178431\pi\) | |||||||
\(174\) | −752.559 | + | 220.971i | −0.327882 | + | 0.0962747i | ||||
\(175\) | −342.412 | − | 749.778i | −0.147908 | − | 0.323874i | ||||
\(176\) | −4357.01 | + | 2800.08i | −1.86603 | + | 1.19923i | ||||
\(177\) | 626.147 | + | 183.853i | 0.265899 | + | 0.0780750i | ||||
\(178\) | −246.638 | − | 1715.40i | −0.103856 | − | 0.722332i | ||||
\(179\) | −104.685 | + | 229.228i | −0.0437124 | + | 0.0957167i | −0.930228 | − | 0.366981i | \(-0.880391\pi\) |
0.886516 | + | 0.462698i | \(0.153119\pi\) | |||||||
\(180\) | 45.6936 | − | 317.806i | 0.0189211 | − | 0.131599i | ||||
\(181\) | −950.291 | − | 610.715i | −0.390246 | − | 0.250796i | 0.330774 | − | 0.943710i | \(-0.392690\pi\) |
−0.721020 | + | 0.692914i | \(0.756327\pi\) | |||||||
\(182\) | 5411.12 | + | 6244.77i | 2.20384 | + | 2.54337i | ||||
\(183\) | 215.697 | 0.0871299 | ||||||||
\(184\) | −1408.97 | + | 1385.09i | −0.564513 | + | 0.554946i | ||||
\(185\) | 498.715 | 0.198196 | ||||||||
\(186\) | 170.907 | + | 197.238i | 0.0673738 | + | 0.0777535i | ||||
\(187\) | −3096.19 | − | 1989.80i | −1.21078 | − | 0.778120i | ||||
\(188\) | 89.5433 | − | 622.787i | 0.0347373 | − | 0.241603i | ||||
\(189\) | −697.542 | + | 1527.40i | −0.268459 | + | 0.587842i | ||||
\(190\) | −36.8961 | − | 256.618i | −0.0140880 | − | 0.0979844i | ||||
\(191\) | −125.141 | − | 36.7448i | −0.0474078 | − | 0.0139202i | 0.257943 | − | 0.966160i | \(-0.416955\pi\) |
−0.305350 | + | 0.952240i | \(0.598774\pi\) | |||||||
\(192\) | −219.821 | + | 141.270i | −0.0826259 | + | 0.0531005i | ||||
\(193\) | −1097.31 | − | 2402.77i | −0.409253 | − | 0.896140i | −0.996248 | − | 0.0865486i | \(-0.972416\pi\) |
0.586994 | − | 0.809591i | \(-0.300311\pi\) | |||||||
\(194\) | 917.515 | − | 269.407i | 0.339556 | − | 0.0997025i | ||||
\(195\) | −243.417 | + | 280.919i | −0.0893922 | + | 0.103164i | ||||
\(196\) | −1199.76 | + | 1384.60i | −0.437232 | + | 0.504593i | ||||
\(197\) | 882.559 | − | 259.143i | 0.319186 | − | 0.0937216i | −0.118215 | − | 0.992988i | \(-0.537717\pi\) |
0.437401 | + | 0.899266i | \(0.355899\pi\) | |||||||
\(198\) | 2337.73 | + | 5118.92i | 0.839068 | + | 1.83730i | ||||
\(199\) | 2639.60 | − | 1696.37i | 0.940283 | − | 0.604283i | 0.0218077 | − | 0.999762i | \(-0.493058\pi\) |
0.918475 | + | 0.395479i | \(0.129421\pi\) | |||||||
\(200\) | −429.661 | − | 126.160i | −0.151908 | − | 0.0446042i | ||||
\(201\) | −27.8384 | − | 193.620i | −0.00976900 | − | 0.0679449i | ||||
\(202\) | 287.086 | − | 628.630i | 0.0999964 | − | 0.218962i | ||||
\(203\) | 1185.85 | − | 8247.74i | 0.410000 | − | 2.85162i | ||||
\(204\) | 109.647 | + | 70.4660i | 0.0376316 | + | 0.0241843i | ||||
\(205\) | −383.504 | − | 442.587i | −0.130659 | − | 0.150788i | ||||
\(206\) | −860.993 | −0.291205 | ||||||||
\(207\) | 1704.18 | + | 2317.54i | 0.572216 | + | 0.778164i | ||||
\(208\) | 6015.31 | 2.00522 | ||||||||
\(209\) | 700.323 | + | 808.216i | 0.231782 | + | 0.267490i | ||||
\(210\) | −430.400 | − | 276.601i | −0.141430 | − | 0.0908919i | ||||
\(211\) | 483.510 | − | 3362.89i | 0.157754 | − | 1.09721i | −0.745004 | − | 0.667060i | \(-0.767553\pi\) |
0.902759 | − | 0.430147i | \(-0.141538\pi\) | |||||||
\(212\) | 129.066 | − | 282.616i | 0.0418128 | − | 0.0915573i | ||||
\(213\) | −57.0837 | − | 397.026i | −0.0183630 | − | 0.127717i | ||||
\(214\) | 4605.38 | + | 1352.26i | 1.47111 | + | 0.431956i | ||||
\(215\) | −1077.02 | + | 692.161i | −0.341639 | + | 0.219558i | ||||
\(216\) | 378.954 | + | 829.794i | 0.119373 | + | 0.261391i | ||||
\(217\) | −2660.31 | + | 781.138i | −0.832229 | + | 0.244365i | ||||
\(218\) | −1800.35 | + | 2077.71i | −0.559335 | + | 0.645507i | ||||
\(219\) | 71.9993 | − | 83.0916i | 0.0222158 | − | 0.0256384i | ||||
\(220\) | −788.046 | + | 231.391i | −0.241500 | + | 0.0709109i | ||||
\(221\) | 1775.74 | + | 3888.32i | 0.540493 | + | 1.18351i | ||||
\(222\) | 260.410 | − | 167.355i | 0.0787277 | − | 0.0505952i | ||||
\(223\) | −4641.13 | − | 1362.76i | −1.39369 | − | 0.409224i | −0.503178 | − | 0.864183i | \(-0.667836\pi\) |
−0.890513 | + | 0.454958i | \(0.849654\pi\) | |||||||
\(224\) | 505.911 | + | 3518.69i | 0.150904 | + | 1.04956i | ||||
\(225\) | −270.844 | + | 593.066i | −0.0802502 | + | 0.175723i | ||||
\(226\) | −441.860 | + | 3073.21i | −0.130054 | + | 0.904543i | ||||
\(227\) | 3370.84 | + | 2166.31i | 0.985596 | + | 0.633404i | 0.930967 | − | 0.365102i | \(-0.118966\pi\) |
0.0546290 | + | 0.998507i | \(0.482602\pi\) | |||||||
\(228\) | −24.8010 | − | 28.6219i | −0.00720388 | − | 0.00831373i | ||||
\(229\) | 4616.72 | 1.33223 | 0.666117 | − | 0.745848i | \(-0.267955\pi\) | ||||
0.666117 | + | 0.745848i | \(0.267955\pi\) | |||||||
\(230\) | −1572.96 | + | 841.530i | −0.450946 | + | 0.241256i | ||||
\(231\) | 2110.40 | 0.601099 | ||||||||
\(232\) | −2964.45 | − | 3421.16i | −0.838904 | − | 0.968146i | ||||
\(233\) | 3228.90 | + | 2075.09i | 0.907864 | + | 0.583449i | 0.909113 | − | 0.416550i | \(-0.136761\pi\) |
−0.00124851 | + | 0.999999i | \(0.500397\pi\) | |||||||
\(234\) | 930.163 | − | 6469.43i | 0.259858 | − | 1.80735i | ||||
\(235\) | −530.759 | + | 1162.20i | −0.147331 | + | 0.322611i | ||||
\(236\) | −238.335 | − | 1657.66i | −0.0657385 | − | 0.457222i | ||||
\(237\) | 1002.10 | + | 294.242i | 0.274655 | + | 0.0806459i | ||||
\(238\) | −4949.55 | + | 3180.88i | −1.34803 | + | 0.866327i | ||||
\(239\) | 1527.52 | + | 3344.81i | 0.413419 | + | 0.905261i | 0.995732 | + | 0.0922964i | \(0.0294207\pi\) |
−0.582313 | + | 0.812965i | \(0.697852\pi\) | |||||||
\(240\) | −357.360 | + | 104.930i | −0.0961147 | + | 0.0282218i | ||||
\(241\) | −1417.69 | + | 1636.10i | −0.378926 | + | 0.437304i | −0.912892 | − | 0.408202i | \(-0.866156\pi\) |
0.533965 | + | 0.845506i | \(0.320701\pi\) | |||||||
\(242\) | 6607.54 | − | 7625.51i | 1.75516 | − | 2.02556i | ||||
\(243\) | 1922.63 | − | 564.534i | 0.507558 | − | 0.149032i | ||||
\(244\) | −229.948 | − | 503.516i | −0.0603316 | − | 0.132108i | ||||
\(245\) | 3129.72 | − | 2011.35i | 0.816125 | − | 0.524492i | ||||
\(246\) | −348.771 | − | 102.408i | −0.0903936 | − | 0.0265419i | ||||
\(247\) | −176.765 | − | 1229.43i | −0.0455355 | − | 0.316706i | ||||
\(248\) | −625.734 | + | 1370.17i | −0.160218 | + | 0.350829i | ||||
\(249\) | 39.8055 | − | 276.854i | 0.0101308 | − | 0.0704614i | ||||
\(250\) | −340.134 | − | 218.591i | −0.0860479 | − | 0.0552996i | ||||
\(251\) | 1708.10 | + | 1971.26i | 0.429540 | + | 0.495716i | 0.928720 | − | 0.370783i | \(-0.120911\pi\) |
−0.499179 | + | 0.866499i | \(0.666365\pi\) | |||||||
\(252\) | 2117.20 | 0.529251 | ||||||||
\(253\) | 3581.65 | − | 6428.09i | 0.890026 | − | 1.59735i | ||||
\(254\) | −5874.15 | −1.45109 | ||||||||
\(255\) | −173.321 | − | 200.023i | −0.0425639 | − | 0.0491214i | ||||
\(256\) | 2911.19 | + | 1870.91i | 0.710741 | + | 0.456765i | ||||
\(257\) | −238.982 | + | 1662.15i | −0.0580049 | + | 0.403433i | 0.940047 | + | 0.341045i | \(0.110781\pi\) |
−0.998052 | + | 0.0623883i | \(0.980128\pi\) | |||||||
\(258\) | −330.110 | + | 722.840i | −0.0796579 | + | 0.174426i | ||||
\(259\) | 468.015 | + | 3255.12i | 0.112282 | + | 0.780938i | ||||
\(260\) | 915.267 | + | 268.747i | 0.218317 | + | 0.0641037i | ||||
\(261\) | −5544.67 | + | 3563.34i | −1.31497 | + | 0.845078i | ||||
\(262\) | 1251.57 | + | 2740.56i | 0.295124 | + | 0.646231i | ||||
\(263\) | 219.611 | − | 64.4836i | 0.0514897 | − | 0.0151188i | −0.255886 | − | 0.966707i | \(-0.582367\pi\) |
0.307376 | + | 0.951588i | \(0.400549\pi\) | |||||||
\(264\) | 750.809 | − | 866.480i | 0.175035 | − | 0.202001i | ||||
\(265\) | −413.154 | + | 476.805i | −0.0957731 | + | 0.110528i | ||||
\(266\) | 1640.32 | − | 481.643i | 0.378100 | − | 0.111020i | ||||
\(267\) | 213.557 | + | 467.624i | 0.0489493 | + | 0.107184i | ||||
\(268\) | −422.303 | + | 271.398i | −0.0962547 | + | 0.0618591i | ||||
\(269\) | −7802.96 | − | 2291.16i | −1.76861 | − | 0.519310i | −0.774975 | − | 0.631992i | \(-0.782238\pi\) |
−0.993631 | + | 0.112682i | \(0.964056\pi\) | |||||||
\(270\) | 117.218 | + | 815.269i | 0.0264210 | + | 0.183762i | ||||
\(271\) | −414.043 | + | 906.628i | −0.0928094 | + | 0.203224i | −0.950343 | − | 0.311203i | \(-0.899268\pi\) |
0.857534 | + | 0.514427i | \(0.171995\pi\) | |||||||
\(272\) | −609.549 | + | 4239.50i | −0.135880 | + | 0.945065i | ||||
\(273\) | −2061.99 | − | 1325.16i | −0.457133 | − | 0.293782i | ||||
\(274\) | −1038.78 | − | 1198.81i | −0.229033 | − | 0.264318i | ||||
\(275\) | 1667.79 | 0.365715 | ||||||||
\(276\) | −126.839 | + | 227.642i | −0.0276624 | + | 0.0496466i | ||||
\(277\) | 6282.89 | 1.36282 | 0.681412 | − | 0.731900i | \(-0.261366\pi\) | ||||
0.681412 | + | 0.731900i | \(0.261366\pi\) | |||||||
\(278\) | 2564.63 | + | 2959.74i | 0.553295 | + | 0.638537i | ||||
\(279\) | 1844.97 | + | 1185.69i | 0.395897 | + | 0.254427i | ||||
\(280\) | 420.234 | − | 2922.79i | 0.0896921 | − | 0.623822i | ||||
\(281\) | −2232.21 | + | 4887.85i | −0.473887 | + | 1.03767i | 0.510212 | + | 0.860049i | \(0.329567\pi\) |
−0.984099 | + | 0.177620i | \(0.943160\pi\) | |||||||
\(282\) | 112.861 | + | 784.964i | 0.0238325 | + | 0.165759i | ||||
\(283\) | −1245.05 | − | 365.579i | −0.261521 | − | 0.0767895i | 0.148343 | − | 0.988936i | \(-0.452606\pi\) |
−0.409865 | + | 0.912146i | \(0.634424\pi\) | |||||||
\(284\) | −865.949 | + | 556.512i | −0.180932 | + | 0.116278i | ||||
\(285\) | 31.9473 | + | 69.9549i | 0.00663998 | + | 0.0145395i | ||||
\(286\) | −16041.9 | + | 4710.32i | −3.31670 | + | 0.973870i | ||||
\(287\) | 2528.87 | − | 2918.47i | 0.520120 | − | 0.600251i | ||||
\(288\) | 1841.38 | − | 2125.06i | 0.376751 | − | 0.434794i | ||||
\(289\) | 1793.62 | − | 526.653i | 0.365076 | − | 0.107196i | ||||
\(290\) | −1697.92 | − | 3717.92i | −0.343811 | − | 0.752841i | ||||
\(291\) | −238.627 | + | 153.356i | −0.0480707 | + | 0.0308932i | ||||
\(292\) | −270.722 | − | 79.4912i | −0.0542563 | − | 0.0159311i | ||||
\(293\) | −994.122 | − | 6914.27i | −0.198216 | − | 1.37862i | −0.809458 | − | 0.587178i | \(-0.800239\pi\) |
0.611242 | − | 0.791444i | \(-0.290670\pi\) | |||||||
\(294\) | 959.266 | − | 2100.50i | 0.190291 | − | 0.416679i | ||||
\(295\) | −483.972 | + | 3366.10i | −0.0955184 | + | 0.664345i | ||||
\(296\) | 1502.98 | + | 965.907i | 0.295132 | + | 0.189670i | ||||
\(297\) | −2224.91 | − | 2567.68i | −0.434687 | − | 0.501656i | ||||
\(298\) | 588.151 | 0.114331 | ||||||||
\(299\) | −7535.84 | + | 4031.66i | −1.45755 | + | 0.779790i | ||||
\(300\) | −59.0626 | −0.0113666 | ||||||||
\(301\) | −5528.46 | − | 6380.19i | −1.05866 | − | 1.22175i | ||||
\(302\) | 3923.15 | + | 2521.25i | 0.747522 | + | 0.480404i | ||||
\(303\) | −29.1743 | + | 202.912i | −0.00553143 | + | 0.0384719i | ||||
\(304\) | 516.999 | − | 1132.07i | 0.0975392 | − | 0.213581i | ||||
\(305\) | 159.967 | + | 1112.59i | 0.0300317 | + | 0.208875i | ||||
\(306\) | 4465.30 | + | 1311.13i | 0.834197 | + | 0.244942i | ||||
\(307\) | −4321.05 | + | 2776.97i | −0.803308 | + | 0.516255i | −0.876694 | − | 0.481049i | \(-0.840256\pi\) |
0.0733857 | + | 0.997304i | \(0.476620\pi\) | |||||||
\(308\) | −2249.83 | − | 4926.43i | −0.416220 | − | 0.911395i | ||||
\(309\) | 245.055 | − | 71.9546i | 0.0451155 | − | 0.0132471i | ||||
\(310\) | −890.627 | + | 1027.84i | −0.163175 | + | 0.188314i | ||||
\(311\) | −1568.30 | + | 1809.91i | −0.285949 | + | 0.330002i | −0.880492 | − | 0.474061i | \(-0.842787\pi\) |
0.594543 | + | 0.804064i | \(0.297333\pi\) | |||||||
\(312\) | −1277.67 | + | 375.158i | −0.231839 | + | 0.0680741i | ||||
\(313\) | −588.970 | − | 1289.66i | −0.106360 | − | 0.232895i | 0.848968 | − | 0.528445i | \(-0.177225\pi\) |
−0.955327 | + | 0.295549i | \(0.904497\pi\) | |||||||
\(314\) | 4213.63 | − | 2707.94i | 0.757289 | − | 0.486680i | ||||
\(315\) | −4125.12 | − | 1211.24i | −0.737855 | − | 0.216654i | ||||
\(316\) | −381.435 | − | 2652.94i | −0.0679032 | − | 0.472277i | ||||
\(317\) | −586.167 | + | 1283.53i | −0.103856 | + | 0.227413i | −0.954425 | − | 0.298450i | \(-0.903530\pi\) |
0.850569 | + | 0.525863i | \(0.176258\pi\) | |||||||
\(318\) | −55.7303 | + | 387.613i | −0.00982767 | + | 0.0683530i | ||||
\(319\) | 14183.4 | + | 9115.11i | 2.48940 | + | 1.59984i | ||||
\(320\) | −891.714 | − | 1029.09i | −0.155776 | − | 0.179775i | ||||
\(321\) | −1423.79 | −0.247564 | ||||||||
\(322\) | −6968.80 | − | 9476.97i | −1.20607 | − | 1.64016i | ||||
\(323\) | 884.394 | 0.152350 | ||||||||
\(324\) | −1056.61 | − | 1219.39i | −0.181174 | − | 0.209086i | ||||
\(325\) | −1629.54 | − | 1047.24i | −0.278125 | − | 0.178740i | ||||
\(326\) | −849.887 | + | 5911.09i | −0.144389 | + | 1.00425i | ||||
\(327\) | 338.775 | − | 741.814i | 0.0572914 | − | 0.125451i | ||||
\(328\) | −298.569 | − | 2076.59i | −0.0502613 | − | 0.349575i | ||||
\(329\) | −8083.77 | − | 2373.61i | −1.35463 | − | 0.397755i | ||||
\(330\) | 870.857 | − | 559.666i | 0.145270 | − | 0.0933593i | ||||
\(331\) | −2446.72 | − | 5357.57i | −0.406296 | − | 0.889664i | −0.996593 | − | 0.0824780i | \(-0.973717\pi\) |
0.590297 | − | 0.807186i | \(-0.299011\pi\) | |||||||
\(332\) | −688.713 | + | 202.224i | −0.113849 | + | 0.0334292i | ||||
\(333\) | 1703.45 | − | 1965.88i | 0.280326 | − | 0.323513i | ||||
\(334\) | 8544.30 | − | 9860.65i | 1.39977 | − | 1.61542i | ||||
\(335\) | 978.073 | − | 287.188i | 0.159516 | − | 0.0468381i | ||||
\(336\) | −1020.24 | − | 2234.02i | −0.165651 | − | 0.362726i | ||||
\(337\) | 481.591 | − | 309.499i | 0.0778454 | − | 0.0500282i | −0.501139 | − | 0.865367i | \(-0.667086\pi\) |
0.578985 | + | 0.815339i | \(0.303449\pi\) | |||||||
\(338\) | 11813.2 | + | 3468.67i | 1.90104 | + | 0.558197i | ||||
\(339\) | −131.071 | − | 911.619i | −0.0209994 | − | 0.146054i | ||||
\(340\) | −282.155 | + | 617.834i | −0.0450059 | + | 0.0985493i | ||||
\(341\) | 798.391 | − | 5552.93i | 0.126790 | − | 0.881842i | ||||
\(342\) | −1137.59 | − | 731.084i | −0.179865 | − | 0.115592i | ||||
\(343\) | 8659.40 | + | 9993.48i | 1.36316 | + | 1.57317i | ||||
\(344\) | −4586.40 | −0.718844 | ||||||||
\(345\) | 377.365 | − | 370.970i | 0.0588888 | − | 0.0578908i | ||||
\(346\) | 2249.80 | 0.349566 | ||||||||
\(347\) | 7945.87 | + | 9170.03i | 1.22927 | + | 1.41865i | 0.875428 | + | 0.483349i | \(0.160580\pi\) |
0.353843 | + | 0.935305i | \(0.384875\pi\) | |||||||
\(348\) | −502.285 | − | 322.799i | −0.0773716 | − | 0.0497237i | ||||
\(349\) | 744.988 | − | 5181.51i | 0.114265 | − | 0.794727i | −0.849426 | − | 0.527707i | \(-0.823052\pi\) |
0.963691 | − | 0.267020i | \(-0.0860390\pi\) | |||||||
\(350\) | 1107.55 | − | 2425.19i | 0.169146 | − | 0.370377i | ||||
\(351\) | 561.577 | + | 3905.85i | 0.0853981 | + | 0.593957i | ||||
\(352\) | −6901.45 | − | 2026.45i | −1.04502 | − | 0.306847i | ||||
\(353\) | −8358.31 | + | 5371.56i | −1.26025 | + | 0.809912i | −0.988318 | − | 0.152404i | \(-0.951298\pi\) |
−0.271930 | + | 0.962317i | \(0.587662\pi\) | |||||||
\(354\) | 876.860 | + | 1920.05i | 0.131651 | + | 0.288276i | ||||
\(355\) | 2005.58 | − | 588.891i | 0.299845 | − | 0.0880424i | ||||
\(356\) | 863.940 | − | 997.039i | 0.128620 | − | 0.148435i | ||||
\(357\) | 1142.90 | − | 1318.98i | 0.169436 | − | 0.195540i | ||||
\(358\) | −782.090 | + | 229.642i | −0.115460 | + | 0.0339022i | ||||
\(359\) | −2213.87 | − | 4847.70i | −0.325470 | − | 0.712679i | 0.674196 | − | 0.738553i | \(-0.264490\pi\) |
−0.999665 | + | 0.0258738i | \(0.991763\pi\) | |||||||
\(360\) | −1964.89 | + | 1262.76i | −0.287664 | + | 0.184870i | ||||
\(361\) | 6334.59 | + | 1860.00i | 0.923545 | + | 0.271177i | ||||
\(362\) | −519.988 | − | 3616.60i | −0.0754971 | − | 0.525094i | ||||
\(363\) | −1243.35 | + | 2722.57i | −0.179777 | + | 0.393657i | ||||
\(364\) | −895.186 | + | 6226.15i | −0.128902 | + | 0.896536i | ||||
\(365\) | 481.994 | + | 309.759i | 0.0691197 | + | 0.0444206i | ||||
\(366\) | 456.884 | + | 527.273i | 0.0652506 | + | 0.0753032i | ||||
\(367\) | 2685.34 | 0.381944 | 0.190972 | − | 0.981595i | \(-0.438836\pi\) | ||||
0.190972 | + | 0.981595i | \(0.438836\pi\) | |||||||
\(368\) | −8536.16 | − | 683.885i | −1.20918 | − | 0.0968749i | ||||
\(369\) | −3054.56 | −0.430932 | ||||||||
\(370\) | 1056.37 | + | 1219.11i | 0.148427 | + | 0.171294i | ||||
\(371\) | −3499.83 | − | 2249.21i | −0.489763 | − | 0.314752i | ||||
\(372\) | −28.2740 | + | 196.650i | −0.00394069 | + | 0.0274081i | ||||
\(373\) | 3226.04 | − | 7064.05i | 0.447824 | − | 0.980597i | −0.542272 | − | 0.840203i | \(-0.682436\pi\) |
0.990096 | − | 0.140394i | \(-0.0448370\pi\) | |||||||
\(374\) | −1694.20 | − | 11783.4i | −0.234237 | − | 1.62916i | ||||
\(375\) | 115.076 | + | 33.7895i | 0.0158467 | + | 0.00465302i | ||||
\(376\) | −3850.49 | + | 2474.56i | −0.528122 | + | 0.339403i | ||||
\(377\) | −8134.51 | − | 17812.1i | −1.11127 | − | 2.43334i | ||||
\(378\) | −5211.26 | + | 1530.16i | −0.709096 | + | 0.208209i | ||||
\(379\) | −3152.05 | + | 3637.65i | −0.427202 | + | 0.493018i | −0.928018 | − | 0.372536i | \(-0.878488\pi\) |
0.500815 | + | 0.865554i | \(0.333034\pi\) | |||||||
\(380\) | 129.242 | − | 149.153i | 0.0174473 | − | 0.0201353i | ||||
\(381\) | 1671.89 | − | 490.912i | 0.224813 | − | 0.0660110i | ||||
\(382\) | −175.248 | − | 383.740i | −0.0234725 | − | 0.0513975i | ||||
\(383\) | −7439.28 | + | 4780.94i | −0.992505 | + | 0.637844i | −0.932809 | − | 0.360372i | \(-0.882650\pi\) |
−0.0596967 | + | 0.998217i | \(0.519013\pi\) | |||||||
\(384\) | −1605.03 | − | 471.280i | −0.213298 | − | 0.0626300i | ||||
\(385\) | 1565.13 | + | 10885.7i | 0.207185 | + | 1.44100i | ||||
\(386\) | 3549.29 | − | 7771.86i | 0.468016 | − | 1.02481i | ||||
\(387\) | −950.334 | + | 6609.72i | −0.124827 | + | 0.868193i | ||||
\(388\) | 612.383 | + | 393.555i | 0.0801264 | + | 0.0514941i | ||||
\(389\) | 6800.52 | + | 7848.22i | 0.886375 | + | 1.02293i | 0.999569 | + | 0.0293587i | \(0.00934651\pi\) |
−0.113194 | + | 0.993573i | \(0.536108\pi\) | |||||||
\(390\) | −1202.31 | −0.156106 | ||||||||
\(391\) | −2077.83 | − | 5719.69i | −0.268748 | − | 0.739788i | ||||
\(392\) | 13327.6 | 1.71721 | ||||||||
\(393\) | −585.254 | − | 675.419i | −0.0751200 | − | 0.0866931i | ||||
\(394\) | 2502.89 | + | 1608.51i | 0.320035 | + | 0.205674i | ||||
\(395\) | −774.557 | + | 5387.16i | −0.0986637 | + | 0.686221i | ||||
\(396\) | −1779.59 | + | 3896.76i | −0.225828 | + | 0.494493i | ||||
\(397\) | 1012.32 | + | 7040.85i | 0.127977 | + | 0.890102i | 0.948113 | + | 0.317933i | \(0.102989\pi\) |
−0.820136 | + | 0.572169i | \(0.806102\pi\) | |||||||
\(398\) | 9737.92 | + | 2859.31i | 1.22643 | + | 0.360111i | ||||
\(399\) | −426.615 | + | 274.169i | −0.0535275 | + | 0.0344000i | ||||
\(400\) | −806.273 | − | 1765.49i | −0.100784 | − | 0.220686i | ||||
\(401\) | 10744.2 | − | 3154.77i | 1.33800 | − | 0.392872i | 0.467044 | − | 0.884234i | \(-0.345319\pi\) |
0.870955 | + | 0.491362i | \(0.163501\pi\) | |||||||
\(402\) | 414.339 | − | 478.173i | 0.0514064 | − | 0.0593261i | ||||
\(403\) | −4266.88 | + | 4924.24i | −0.527416 | + | 0.608670i | ||||
\(404\) | 504.773 | − | 148.215i | 0.0621618 | − | 0.0182524i | ||||
\(405\) | 1361.06 | + | 2980.31i | 0.166992 | + | 0.365662i | ||||
\(406\) | 22673.5 | − | 14571.4i | 2.77159 | − | 1.78119i | ||||
\(407\) | −6384.49 | − | 1874.65i | −0.777561 | − | 0.228313i | ||||
\(408\) | −134.936 | − | 938.499i | −0.0163733 | − | 0.113879i | ||||
\(409\) | −6039.85 | + | 13225.4i | −0.730199 | + | 1.59891i | 0.0688352 | + | 0.997628i | \(0.478072\pi\) |
−0.799034 | + | 0.601285i | \(0.794656\pi\) | |||||||
\(410\) | 269.578 | − | 1874.95i | 0.0324719 | − | 0.225847i | ||||
\(411\) | 395.843 | + | 254.393i | 0.0475072 | + | 0.0305310i | ||||
\(412\) | −429.214 | − | 495.339i | −0.0513248 | − | 0.0592320i | ||||
\(413\) | −22424.7 | −2.67179 | ||||||||
\(414\) | −2055.48 | + | 9074.83i | −0.244013 | + | 1.07730i | ||||
\(415\) | 1457.57 | 0.172408 | ||||||||
\(416\) | 5470.71 | + | 6313.53i | 0.644768 | + | 0.744102i | ||||
\(417\) | −977.290 | − | 628.066i | −0.114768 | − | 0.0737567i | ||||
\(418\) | −492.281 | + | 3423.89i | −0.0576034 | + | 0.400641i | ||||
\(419\) | 3839.29 | − | 8406.88i | 0.447641 | − | 0.980198i | −0.542491 | − | 0.840062i | \(-0.682519\pi\) |
0.990132 | − | 0.140136i | \(-0.0447540\pi\) | |||||||
\(420\) | −55.4268 | − | 385.502i | −0.00643941 | − | 0.0447871i | ||||
\(421\) | −114.307 | − | 33.5636i | −0.0132327 | − | 0.00388548i | 0.275109 | − | 0.961413i | \(-0.411286\pi\) |
−0.288342 | + | 0.957527i | \(0.593104\pi\) | |||||||
\(422\) | 9244.75 | − | 5941.24i | 1.06642 | − | 0.685344i | ||||
\(423\) | 2768.37 | + | 6061.89i | 0.318210 | + | 0.696783i | ||||
\(424\) | −2168.60 | + | 636.758i | −0.248388 | + | 0.0729332i | ||||
\(425\) | 903.207 | − | 1042.36i | 0.103087 | − | 0.118969i | ||||
\(426\) | 849.620 | − | 980.513i | 0.0966296 | − | 0.111516i | ||||
\(427\) | −7111.78 | + | 2088.21i | −0.806003 | + | 0.236664i | ||||
\(428\) | 1517.86 | + | 3323.64i | 0.171421 | + | 0.375360i | ||||
\(429\) | 4172.17 | − | 2681.29i | 0.469543 | − | 0.301757i | ||||
\(430\) | −3973.32 | − | 1166.67i | −0.445606 | − | 0.130842i | ||||
\(431\) | −408.984 | − | 2844.55i | −0.0457078 | − | 0.317905i | −0.999829 | − | 0.0184845i | \(-0.994116\pi\) |
0.954121 | − | 0.299420i | \(-0.0967932\pi\) | |||||||
\(432\) | −1642.49 | + | 3596.55i | −0.182927 | + | 0.400554i | ||||
\(433\) | −2427.59 | + | 16884.2i | −0.269428 | + | 1.87391i | 0.184440 | + | 0.982844i | \(0.440953\pi\) |
−0.453868 | + | 0.891069i | \(0.649956\pi\) | |||||||
\(434\) | −7544.51 | − | 4848.56i | −0.834442 | − | 0.536264i | ||||
\(435\) | 793.971 | + | 916.292i | 0.0875127 | + | 0.100995i | ||||
\(436\) | −2092.82 | −0.229881 | ||||||||
\(437\) | 111.068 | + | 1764.74i | 0.0121581 | + | 0.193178i | ||||
\(438\) | 355.625 | 0.0387955 | ||||||||
\(439\) | 5366.65 | + | 6193.44i | 0.583454 | + | 0.673342i | 0.968344 | − | 0.249621i | \(-0.0803060\pi\) |
−0.384890 | + | 0.922963i | \(0.625761\pi\) | |||||||
\(440\) | 5026.24 | + | 3230.17i | 0.544583 | + | 0.349982i | ||||
\(441\) | 2761.58 | − | 19207.2i | 0.298194 | − | 2.07399i | ||||
\(442\) | −5743.70 | + | 12576.9i | −0.618099 | + | 1.35345i | ||||
\(443\) | −1828.82 | − | 12719.7i | −0.196140 | − | 1.36418i | −0.815355 | − | 0.578961i | \(-0.803458\pi\) |
0.619215 | − | 0.785221i | \(-0.287451\pi\) | |||||||
\(444\) | 226.098 | + | 66.3884i | 0.0241670 | + | 0.00709606i | ||||
\(445\) | −2253.69 | + | 1448.36i | −0.240079 | + | 0.154289i | ||||
\(446\) | −6499.46 | − | 14231.8i | −0.690041 | − | 1.51098i | ||||
\(447\) | −167.399 | + | 49.1527i | −0.0177130 | + | 0.00520099i | ||||
\(448\) | 5880.07 | − | 6785.97i | 0.620106 | − | 0.715640i | ||||
\(449\) | −4669.04 | + | 5388.36i | −0.490747 | + | 0.566353i | −0.946065 | − | 0.323976i | \(-0.894980\pi\) |
0.455318 | + | 0.890329i | \(0.349526\pi\) | |||||||
\(450\) | −2023.45 | + | 594.139i | −0.211970 | + | 0.0622399i | ||||
\(451\) | 3245.90 | + | 7107.52i | 0.338899 | + | 0.742084i | ||||
\(452\) | −1988.32 | + | 1277.82i | −0.206909 | + | 0.132972i | ||||
\(453\) | −1327.31 | − | 389.732i | −0.137665 | − | 0.0404221i | ||||
\(454\) | 1844.48 | + | 12828.7i | 0.190674 | + | 1.32616i | ||||
\(455\) | 5306.12 | − | 11618.8i | 0.546714 | − | 1.19714i | ||||
\(456\) | −39.2082 | + | 272.699i | −0.00402651 | + | 0.0280050i | ||||
\(457\) | −7804.58 | − | 5015.70i | −0.798868 | − | 0.513401i | 0.0763783 | − | 0.997079i | \(-0.475664\pi\) |
−0.875246 | + | 0.483678i | \(0.839301\pi\) | |||||||
\(458\) | 9779.03 | + | 11285.6i | 0.997694 | + | 1.15140i | ||||
\(459\) | −2809.69 | −0.285720 | ||||||||
\(460\) | −1268.28 | − | 485.428i | −0.128551 | − | 0.0492026i | ||||
\(461\) | −14700.0 | −1.48513 | −0.742565 | − | 0.669774i | \(-0.766391\pi\) | ||||
−0.742565 | + | 0.669774i | \(0.766391\pi\) | |||||||
\(462\) | 4470.19 | + | 5158.87i | 0.450156 | + | 0.519508i | ||||
\(463\) | −1770.24 | − | 1137.66i | −0.177689 | − | 0.114194i | 0.448773 | − | 0.893646i | \(-0.351861\pi\) |
−0.626462 | + | 0.779452i | \(0.715498\pi\) | |||||||
\(464\) | 2792.29 | − | 19420.8i | 0.279373 | − | 1.94308i | ||||
\(465\) | 167.591 | − | 366.973i | 0.0167136 | − | 0.0365978i | ||||
\(466\) | 1766.82 | + | 12288.5i | 0.175636 | + | 1.22157i | ||||
\(467\) | 9362.20 | + | 2748.99i | 0.927690 | + | 0.272394i | 0.710469 | − | 0.703728i | \(-0.248483\pi\) |
0.217220 | + | 0.976123i | \(0.430301\pi\) | |||||||
\(468\) | 4185.63 | − | 2689.94i | 0.413420 | − | 0.265689i | ||||
\(469\) | 2792.34 | + | 6114.38i | 0.274922 | + | 0.601995i | ||||
\(470\) | −3965.24 | + | 1164.30i | −0.389155 | + | 0.114266i | ||||
\(471\) | −972.971 | + | 1122.87i | −0.0951850 | + | 0.109849i | ||||
\(472\) | −7977.98 | + | 9207.08i | −0.778001 | + | 0.897861i | ||||
\(473\) | 16389.7 | − | 4812.46i | 1.59324 | − | 0.467817i | ||||
\(474\) | 1403.34 | + | 3072.89i | 0.135986 | + | 0.297769i | ||||
\(475\) | −337.143 | + | 216.669i | −0.0325667 | + | 0.0209294i | ||||
\(476\) | −4297.39 | − | 1261.83i | −0.413804 | − | 0.121504i | ||||
\(477\) | 468.318 | + | 3257.22i | 0.0449535 | + | 0.312658i | ||||
\(478\) | −4940.84 | + | 10818.9i | −0.472780 | + | 1.03524i | ||||
\(479\) | 1726.60 | − | 12008.8i | 0.164698 | − | 1.14550i | −0.724933 | − | 0.688820i | \(-0.758129\pi\) |
0.889631 | − | 0.456681i | \(-0.150962\pi\) | |||||||
\(480\) | −435.139 | − | 279.647i | −0.0413777 | − | 0.0265918i | ||||
\(481\) | 5060.92 | + | 5840.61i | 0.479746 | + | 0.553657i | ||||
\(482\) | −7002.36 | −0.661719 | ||||||||
\(483\) | 2775.46 | + | 2114.93i | 0.261465 | + | 0.199239i | ||||
\(484\) | 7680.97 | 0.721353 | ||||||||
\(485\) | −968.004 | − | 1117.14i | −0.0906285 | − | 0.104591i | ||||
\(486\) | 5452.47 | + | 3504.09i | 0.508908 | + | 0.327055i | ||||
\(487\) | 1989.96 | − | 13840.5i | 0.185161 | − | 1.28782i | −0.659166 | − | 0.751997i | \(-0.729091\pi\) |
0.844327 | − | 0.535828i | \(-0.180000\pi\) | |||||||
\(488\) | −1672.77 | + | 3662.85i | −0.155169 | + | 0.339773i | ||||
\(489\) | −252.106 | − | 1753.43i | −0.0233141 | − | 0.162153i | ||||
\(490\) | 11546.1 | + | 3390.23i | 1.06449 | + | 0.312561i | ||||
\(491\) | 6266.15 | − | 4027.01i | 0.575942 | − | 0.370135i | −0.220008 | − | 0.975498i | \(-0.570608\pi\) |
0.795950 | + | 0.605363i | \(0.206972\pi\) | |||||||
\(492\) | −114.949 | − | 251.703i | −0.0105331 | − | 0.0230643i | ||||
\(493\) | 13378.0 | − | 3928.13i | 1.22214 | − | 0.358852i | ||||
\(494\) | 2630.92 | − | 3036.24i | 0.239617 | − | 0.276532i | ||||
\(495\) | 5696.64 | − | 6574.27i | 0.517262 | − | 0.596952i | ||||
\(496\) | −6264.20 | + | 1839.33i | −0.567078 | + | 0.166509i | ||||
\(497\) | 5725.81 | + | 12537.8i | 0.516776 | + | 1.13158i | ||||
\(498\) | 761.085 | − | 489.120i | 0.0684840 | − | 0.0440120i | ||||
\(499\) | 9330.43 | + | 2739.66i | 0.837049 | + | 0.245780i | 0.672042 | − | 0.740513i | \(-0.265417\pi\) |
0.165006 | + | 0.986292i | \(0.447236\pi\) | |||||||
\(500\) | −43.8024 | − | 304.652i | −0.00391781 | − | 0.0272489i | ||||
\(501\) | −1607.80 | + | 3520.58i | −0.143375 | + | 0.313948i | ||||
\(502\) | −1200.68 | + | 8350.95i | −0.106751 | + | 0.742472i | ||||
\(503\) | −464.191 | − | 298.318i | −0.0411476 | − | 0.0264440i | 0.519905 | − | 0.854224i | \(-0.325967\pi\) |
−0.561053 | + | 0.827780i | \(0.689604\pi\) | |||||||
\(504\) | −10086.0 | − | 11639.8i | −0.891399 | − | 1.02873i | ||||
\(505\) | −1068.28 | −0.0941346 | ||||||||
\(506\) | 23300.1 | − | 4860.47i | 2.04707 | − | 0.427024i | ||||
\(507\) | −3652.14 | −0.319915 | ||||||||
\(508\) | −2928.32 | − | 3379.46i | −0.255754 | − | 0.295156i | ||||
\(509\) | −7582.88 | − | 4873.22i | −0.660324 | − | 0.424365i | 0.167102 | − | 0.985940i | \(-0.446559\pi\) |
−0.827426 | + | 0.561575i | \(0.810196\pi\) | |||||||
\(510\) | 121.833 | − | 847.370i | 0.0105782 | − | 0.0735729i | ||||
\(511\) | −1569.47 | + | 3436.67i | −0.135870 | + | 0.297513i | ||||
\(512\) | −391.970 | − | 2726.21i | −0.0338336 | − | 0.235318i | ||||
\(513\) | 783.339 | + | 230.009i | 0.0674177 | + | 0.0197956i | ||||
\(514\) | −4569.35 | + | 2936.54i | −0.392112 | + | 0.251995i | ||||
\(515\) | 552.890 | + | 1210.66i | 0.0473073 | + | 0.103588i | ||||
\(516\) | −580.420 | + | 170.427i | −0.0495186 | + | 0.0145400i | ||||
\(517\) | 11163.4 | − | 12883.2i | 0.949642 | − | 1.09595i | ||||
\(518\) | −6965.81 | + | 8038.97i | −0.590850 | + | 0.681877i | ||||
\(519\) | −640.335 | + | 188.019i | −0.0541572 | + | 0.0159020i | ||||
\(520\) | −2882.67 | − | 6312.16i | −0.243102 | − | 0.532320i | ||||
\(521\) | 2617.53 | − | 1682.19i | 0.220108 | − | 0.141455i | −0.425941 | − | 0.904751i | \(-0.640057\pi\) |
0.646048 | + | 0.763296i | \(0.276420\pi\) | |||||||
\(522\) | −20455.2 | − | 6006.19i | −1.71513 | − | 0.503609i | ||||
\(523\) | −1804.61 | − | 12551.3i | −0.150880 | − | 1.04939i | −0.914750 | − | 0.404021i | \(-0.867612\pi\) |
0.763870 | − | 0.645370i | \(-0.223297\pi\) | |||||||
\(524\) | −952.754 | + | 2086.24i | −0.0794299 | + | 0.173927i | ||||
\(525\) | −112.552 | + | 782.814i | −0.00935649 | + | 0.0650758i | ||||
\(526\) | 622.806 | + | 400.253i | 0.0516267 | + | 0.0331784i | ||||
\(527\) | −3038.16 | − | 3506.23i | −0.251128 | − | 0.289817i | ||||
\(528\) | 4969.32 | 0.409587 | ||||||||
\(529\) | 11152.3 | − | 4864.47i | 0.916599 | − | 0.399808i | ||||
\(530\) | −2040.69 | −0.167249 | ||||||||
\(531\) | 11615.7 | + | 13405.3i | 0.949303 | + | 1.09555i | ||||
\(532\) | 1094.81 | + | 703.593i | 0.0892220 | + | 0.0573395i | ||||
\(533\) | 1291.51 | − | 8982.67i | 0.104956 | − | 0.729986i | ||||
\(534\) | −690.759 | + | 1512.55i | −0.0559777 | + | 0.122574i | ||||
\(535\) | −1055.92 | − | 7344.08i | −0.0853296 | − | 0.593480i | ||||
\(536\) | 3503.85 | + | 1028.82i | 0.282357 | + | 0.0829074i | ||||
\(537\) | 203.406 | − | 130.721i | 0.0163456 | − | 0.0105047i | ||||
\(538\) | −10927.3 | − | 23927.5i | −0.875669 | − | 1.91745i | ||||
\(539\) | −47627.0 | + | 13984.5i | −3.80601 | + | 1.11754i | ||||
\(540\) | −410.599 | + | 473.856i | −0.0327210 | + | 0.0377621i | ||||
\(541\) | 5614.82 | − | 6479.85i | 0.446211 | − | 0.514955i | −0.487432 | − | 0.873161i | \(-0.662066\pi\) |
0.933642 | + | 0.358207i | \(0.116612\pi\) | |||||||
\(542\) | −3093.28 | + | 908.268i | −0.245143 | + | 0.0719805i | ||||
\(543\) | 450.243 | + | 985.894i | 0.0355834 | + | 0.0779167i | ||||
\(544\) | −5004.05 | + | 3215.91i | −0.394388 | + | 0.253458i | ||||
\(545\) | 4077.61 | + | 1197.30i | 0.320488 | + | 0.0941037i | ||||
\(546\) | −1128.30 | − | 7847.48i | −0.0884371 | − | 0.615093i | ||||
\(547\) | −5086.00 | + | 11136.8i | −0.397554 | + | 0.870521i | 0.599959 | + | 0.800031i | \(0.295184\pi\) |
−0.997512 | + | 0.0704900i | \(0.977544\pi\) | |||||||
\(548\) | 171.850 | − | 1195.24i | 0.0133961 | − | 0.0931719i | ||||
\(549\) | 4932.12 | + | 3169.68i | 0.383420 | + | 0.246409i | ||||
\(550\) | 3532.68 | + | 4076.93i | 0.273880 | + | 0.316074i | ||||
\(551\) | −4051.34 | −0.313236 | ||||||||
\(552\) | 1855.76 | − | 387.116i | 0.143091 | − | 0.0298492i | ||||
\(553\) | −35888.9 | −2.75977 | ||||||||
\(554\) | 13308.3 | + | 15358.6i | 1.02060 | + | 1.17784i | ||||
\(555\) | −402.545 | − | 258.700i | −0.0307875 | − | 0.0197859i | ||||
\(556\) | −424.277 | + | 2950.91i | −0.0323622 | + | 0.225084i | ||||
\(557\) | −1112.71 | + | 2436.50i | −0.0846447 | + | 0.185346i | −0.947221 | − | 0.320581i | \(-0.896122\pi\) |
0.862577 | + | 0.505926i | \(0.168849\pi\) | |||||||
\(558\) | 1009.54 | + | 7021.52i | 0.0765902 | + | 0.532697i | ||||
\(559\) | −19035.7 | − | 5589.38i | −1.44029 | − | 0.422908i | ||||
\(560\) | 10766.7 | − | 6919.36i | 0.812460 | − | 0.522136i | ||||
\(561\) | 1466.96 | + | 3212.19i | 0.110401 | + | 0.241744i | ||||
\(562\) | −16676.6 | + | 4896.69i | −1.25171 | + | 0.367535i | ||||
\(563\) | 16647.2 | − | 19211.8i | 1.24617 | − | 1.43816i | 0.390528 | − | 0.920591i | \(-0.372293\pi\) |
0.855643 | − | 0.517566i | \(-0.173162\pi\) | |||||||
\(564\) | −395.336 | + | 456.242i | −0.0295153 | + | 0.0340625i | ||||
\(565\) | 4605.04 | − | 1352.16i | 0.342895 | − | 0.100683i | ||||
\(566\) | −1743.57 | − | 3817.89i | −0.129484 | − | 0.283530i | ||||
\(567\) | −18175.3 | + | 11680.5i | −1.34619 | + | 0.865143i | ||||
\(568\) | 7184.78 | + | 2109.64i | 0.530751 | + | 0.155843i | ||||
\(569\) | 1167.68 | + | 8121.38i | 0.0860309 | + | 0.598358i | 0.986540 | + | 0.163521i | \(0.0522851\pi\) |
−0.900509 | + | 0.434837i | \(0.856806\pi\) | |||||||
\(570\) | −103.335 | + | 226.272i | −0.00759338 | + | 0.0166272i | ||||
\(571\) | 2178.10 | − | 15149.0i | 0.159633 | − | 1.11028i | −0.739676 | − | 0.672963i | \(-0.765021\pi\) |
0.899310 | − | 0.437312i | \(-0.144070\pi\) | |||||||
\(572\) | −10706.9 | − | 6880.92i | −0.782656 | − | 0.502982i | ||||
\(573\) | 81.9487 | + | 94.5738i | 0.00597462 | + | 0.00689508i | ||||
\(574\) | 12490.8 | 0.908287 | ||||||||
\(575\) | 2193.37 | + | 1671.37i | 0.159078 | + | 0.121219i | ||||
\(576\) | −7102.39 | −0.513772 | ||||||||
\(577\) | −3995.38 | − | 4610.92i | −0.288267 | − | 0.332678i | 0.593084 | − | 0.805141i | \(-0.297910\pi\) |
−0.881350 | + | 0.472463i | \(0.843365\pi\) | |||||||
\(578\) | 5086.60 | + | 3268.96i | 0.366046 | + | 0.235244i | ||||
\(579\) | −360.687 | + | 2508.63i | −0.0258889 | + | 0.180061i | ||||
\(580\) | 1292.53 | − | 2830.25i | 0.0925335 | − | 0.202620i | ||||
\(581\) | 1367.84 | + | 9513.55i | 0.0976724 | + | 0.679326i | ||||
\(582\) | −880.335 | − | 258.490i | −0.0626994 | − | 0.0184102i | ||||
\(583\) | 7081.45 | − | 4550.97i | 0.503059 | − | 0.323297i | ||||
\(584\) | 852.650 | + | 1867.04i | 0.0604159 | + | 0.132292i | ||||
\(585\) | −9694.10 | + | 2846.44i | −0.685131 | + | 0.201173i | ||||
\(586\) | 14796.3 | − | 17075.8i | 1.04305 | − | 1.20374i | ||||
\(587\) | 12916.5 | − | 14906.4i | 0.908211 | − | 1.04813i | −0.0904244 | − | 0.995903i | \(-0.528822\pi\) |
0.998635 | − | 0.0522278i | \(-0.0166322\pi\) | |||||||
\(588\) | 1686.64 | − | 495.243i | 0.118293 | − | 0.0347338i | ||||
\(589\) | 560.007 | + | 1226.24i | 0.0391760 | + | 0.0857835i | ||||
\(590\) | −9253.59 | + | 5946.92i | −0.645702 | + | 0.414967i | ||||
\(591\) | −846.796 | − | 248.642i | −0.0589383 | − | 0.0173058i | ||||
\(592\) | 1102.03 | + | 7664.77i | 0.0765085 | + | 0.532129i | ||||
\(593\) | −4071.00 | + | 8914.25i | −0.281916 | + | 0.617309i | −0.996623 | − | 0.0821144i | \(-0.973833\pi\) |
0.714707 | + | 0.699424i | \(0.246560\pi\) | |||||||
\(594\) | 1563.96 | − | 10877.6i | 0.108031 | − | 0.751369i | ||||
\(595\) | 7651.07 | + | 4917.05i | 0.527165 | + | 0.338789i | ||||
\(596\) | 293.199 | + | 338.370i | 0.0201508 | + | 0.0232553i | ||||
\(597\) | −3010.55 | −0.206388 | ||||||||
\(598\) | −25817.7 | − | 9881.62i | −1.76549 | − | 0.675735i | ||||
\(599\) | 11643.9 | 0.794251 | 0.397126 | − | 0.917764i | \(-0.370008\pi\) | ||||
0.397126 | + | 0.917764i | \(0.370008\pi\) | |||||||
\(600\) | 281.363 | + | 324.711i | 0.0191444 | + | 0.0220938i | ||||
\(601\) | −5161.32 | − | 3316.98i | −0.350307 | − | 0.225129i | 0.353639 | − | 0.935382i | \(-0.384944\pi\) |
−0.703946 | + | 0.710253i | \(0.748581\pi\) | |||||||
\(602\) | 3886.14 | − | 27028.7i | 0.263102 | − | 1.82991i | ||||
\(603\) | 2208.71 | − | 4836.40i | 0.149164 | − | 0.326623i | ||||
\(604\) | 505.222 | + | 3513.90i | 0.0340351 | + | 0.236719i | ||||
\(605\) | −14965.4 | − | 4394.25i | −1.00567 | − | 0.295292i | ||||
\(606\) | −557.816 | + | 358.487i | −0.0373923 | + | 0.0240306i | ||||
\(607\) | 1353.16 | + | 2963.00i | 0.0904826 | + | 0.198129i | 0.949463 | − | 0.313880i | \(-0.101629\pi\) |
−0.858980 | + | 0.512009i | \(0.828902\pi\) | |||||||
\(608\) | 1658.39 | − | 486.946i | 0.110619 | − | 0.0324807i | ||||
\(609\) | −5235.55 | + | 6042.14i | −0.348366 | + | 0.402036i | ||||
\(610\) | −2380.90 | + | 2747.71i | −0.158033 | + | 0.182379i | ||||
\(611\) | −18997.0 | + | 5578.02i | −1.25783 | + | 0.369333i | ||||
\(612\) | 1471.69 | + | 3222.55i | 0.0972050 | + | 0.212849i | ||||
\(613\) | 3966.61 | − | 2549.18i | 0.261354 | − | 0.167962i | −0.403402 | − | 0.915023i | \(-0.632172\pi\) |
0.664755 | + | 0.747061i | \(0.268536\pi\) | |||||||
\(614\) | −15941.1 | − | 4680.72i | −1.04777 | − | 0.307653i | ||||
\(615\) | 79.9660 | + | 556.176i | 0.00524316 | + | 0.0364669i | ||||
\(616\) | −16366.5 | + | 35837.6i | −1.07049 | + | 2.34405i | ||||
\(617\) | −2434.46 | + | 16932.1i | −0.158846 | + | 1.10480i | 0.741919 | + | 0.670489i | \(0.233916\pi\) |
−0.900765 | + | 0.434307i | \(0.856993\pi\) | |||||||
\(618\) | 694.963 | + | 446.625i | 0.0452354 | + | 0.0290710i | ||||
\(619\) | 2498.03 | + | 2882.89i | 0.162204 | + | 0.187194i | 0.831034 | − | 0.556222i | \(-0.187750\pi\) |
−0.668829 | + | 0.743416i | \(0.733204\pi\) | |||||||
\(620\) | −1035.31 | −0.0670632 | ||||||||
\(621\) | −352.858 | − | 5606.53i | −0.0228015 | − | 0.362290i | ||||
\(622\) | −7746.28 | −0.499353 | ||||||||
\(623\) | −11568.4 | − | 13350.6i | −0.743945 | − | 0.858558i | ||||
\(624\) | −4855.34 | − | 3120.34i | −0.311489 | − | 0.200182i | ||||
\(625\) | −88.9468 | + | 618.638i | −0.00569259 | + | 0.0395929i | ||||
\(626\) | 1905.05 | − | 4171.48i | 0.121631 | − | 0.266335i | ||||
\(627\) | −146.027 | − | 1015.64i | −0.00930107 | − | 0.0646904i | ||||
\(628\) | 3658.44 | + | 1074.21i | 0.232464 | + | 0.0682577i | ||||
\(629\) | −4629.22 | + | 2975.02i | −0.293448 | + | 0.188588i | ||||
\(630\) | −5776.84 | − | 12649.5i | −0.365325 | − | 0.799950i | ||||
\(631\) | −1559.95 | + | 458.043i | −0.0984164 | + | 0.0288977i | −0.330570 | − | 0.943781i | \(-0.607241\pi\) |
0.232154 | + | 0.972679i | \(0.425423\pi\) | |||||||
\(632\) | −12768.1 | + | 14735.2i | −0.803619 | + | 0.927426i | ||||
\(633\) | −2134.71 | + | 2463.59i | −0.134040 | + | 0.154690i | ||||
\(634\) | −4379.19 | + | 1285.85i | −0.274322 | + | 0.0805481i | ||||
\(635\) | 3772.11 | + | 8259.76i | 0.235735 | + | 0.516187i | ||||
\(636\) | −250.780 | + | 161.166i | −0.0156353 | + | 0.0100482i | ||||
\(637\) | 55315.8 | + | 16242.2i | 3.44064 | + | 1.01026i | ||||
\(638\) | 7760.98 | + | 53978.8i | 0.481599 | + | 3.34959i | ||||
\(639\) | 4529.05 | − | 9917.24i | 0.280386 | − | 0.613959i | ||||
\(640\) | 1240.59 | − | 8628.48i | 0.0766227 | − | 0.532923i | ||||
\(641\) | −584.336 | − | 375.530i | −0.0360061 | − | 0.0231397i | 0.522514 | − | 0.852631i | \(-0.324994\pi\) |
−0.558520 | + | 0.829491i | \(0.688631\pi\) | |||||||
\(642\) | −3015.83 | − | 3480.46i | −0.185398 | − | 0.213960i | ||||
\(643\) | −6693.73 | −0.410536 | −0.205268 | − | 0.978706i | \(-0.565807\pi\) | ||||
−0.205268 | + | 0.978706i | \(0.565807\pi\) | |||||||
\(644\) | 1978.19 | − | 8733.59i | 0.121043 | − | 0.534397i | ||||
\(645\) | 1228.38 | 0.0749883 | ||||||||
\(646\) | 1873.30 | + | 2161.91i | 0.114093 | + | 0.131670i | ||||
\(647\) | 6670.53 | + | 4286.89i | 0.405326 | + | 0.260487i | 0.727381 | − | 0.686234i | \(-0.240737\pi\) |
−0.322055 | + | 0.946721i | \(0.604374\pi\) | |||||||
\(648\) | −1670.40 | + | 11617.9i | −0.101265 | + | 0.704311i | ||||
\(649\) | 18848.8 | − | 41273.2i | 1.14003 | − | 2.49632i | ||||
\(650\) | −891.664 | − | 6201.66i | −0.0538061 | − | 0.374230i | ||||
\(651\) | 2552.51 | + | 749.484i | 0.153672 | + | 0.0451223i | ||||
\(652\) | −3824.39 | + | 2457.79i | −0.229716 | + | 0.147629i | ||||
\(653\) | −4259.41 | − | 9326.81i | −0.255258 | − | 0.558938i | 0.738008 | − | 0.674792i | \(-0.235767\pi\) |
−0.993266 | + | 0.115854i | \(0.963039\pi\) | |||||||
\(654\) | 2530.95 | − | 743.155i | 0.151327 | − | 0.0444337i | ||||
\(655\) | 3049.86 | − | 3519.73i | 0.181936 | − | 0.209965i | ||||
\(656\) | 5954.69 | − | 6872.08i | 0.354408 | − | 0.409009i | ||||
\(657\) | 2867.37 | − | 841.936i | 0.170269 | − | 0.0499955i | ||||
\(658\) | −11320.5 | − | 24788.5i | −0.670700 | − | 1.46863i | ||||
\(659\) | 3477.02 | − | 2234.55i | 0.205532 | − | 0.132087i | −0.433826 | − | 0.900997i | \(-0.642837\pi\) |
0.639358 | + | 0.768909i | \(0.279200\pi\) | |||||||
\(660\) | 756.112 | + | 222.015i | 0.0445934 | + | 0.0130938i | ||||
\(661\) | 1911.05 | + | 13291.6i | 0.112453 | + | 0.782125i | 0.965521 | + | 0.260326i | \(0.0838299\pi\) |
−0.853068 | + | 0.521799i | \(0.825261\pi\) | |||||||
\(662\) | 7914.03 | − | 17329.3i | 0.464634 | − | 1.01741i | ||||
\(663\) | 583.688 | − | 4059.64i | 0.0341909 | − | 0.237803i | ||||
\(664\) | 4392.68 | + | 2823.00i | 0.256730 | + | 0.164991i | ||||
\(665\) | −1730.59 | − | 1997.20i | −0.100916 | − | 0.116464i | ||||
\(666\) | 8413.82 | 0.489533 | ||||||||
\(667\) | 9518.38 | + | 26201.5i | 0.552554 | + | 1.52103i | ||||
\(668\) | 9932.35 | 0.575291 | ||||||||
\(669\) | 3039.24 | + | 3507.47i | 0.175641 | + | 0.202701i | ||||
\(670\) | 2773.76 | + | 1782.59i | 0.159940 | + | 0.102787i | ||||
\(671\) | 2134.33 | − | 14844.6i | 0.122794 | − | 0.854052i | ||||
\(672\) | 1416.90 | − | 3102.59i | 0.0813367 | − | 0.178103i | ||||
\(673\) | −779.192 | − | 5419.40i | −0.0446295 | − | 0.310405i | −0.999893 | − | 0.0146480i | \(-0.995337\pi\) |
0.955263 | − | 0.295757i | \(-0.0955719\pi\) | |||||||
\(674\) | 1776.67 | + | 521.677i | 0.101535 | + | 0.0298134i | ||||
\(675\) | 1071.09 | − | 688.350i | 0.0610762 | − | 0.0392513i | ||||
\(676\) | 3893.43 | + | 8525.42i | 0.221520 | + | 0.485061i | ||||
\(677\) | 10362.3 | − | 3042.64i | 0.588264 | − | 0.172730i | 0.0259638 | − | 0.999663i | \(-0.491735\pi\) |
0.562301 | + | 0.826933i | \(0.309916\pi\) | |||||||
\(678\) | 1950.83 | − | 2251.37i | 0.110503 | − | 0.127527i | ||||
\(679\) | 6383.14 | − | 7366.54i | 0.360770 | − | 0.416350i | ||||
\(680\) | 4740.83 | − | 1392.03i | 0.267356 | − | 0.0785029i | ||||
\(681\) | −1597.08 | − | 3497.13i | −0.0898684 | − | 0.196784i | ||||
\(682\) | 15265.3 | − | 9810.42i | 0.857095 | − | 0.550822i | ||||
\(683\) | 13215.5 | + | 3880.42i | 0.740376 | + | 0.217394i | 0.630108 | − | 0.776508i | \(-0.283011\pi\) |
0.110269 | + | 0.993902i | \(0.464829\pi\) | |||||||
\(684\) | −146.498 | − | 1018.92i | −0.00818934 | − | 0.0569581i | ||||
\(685\) | −1018.62 | + | 2230.47i | −0.0568169 | + | 0.124412i | ||||
\(686\) | −6086.98 | + | 42335.9i | −0.338779 | + | 2.35626i | ||||
\(687\) | −3726.45 | − | 2394.84i | −0.206947 | − | 0.132997i | ||||
\(688\) | −13017.8 | − | 15023.3i | −0.721364 | − | 0.832499i | ||||
\(689\) | −9776.68 | −0.540583 | ||||||||
\(690\) | 1706.16 | + | 136.691i | 0.0941341 | + | 0.00754167i | ||||
\(691\) | 15843.5 | 0.872235 | 0.436118 | − | 0.899890i | \(-0.356353\pi\) | ||||
0.436118 | + | 0.899890i | \(0.356353\pi\) | |||||||
\(692\) | 1121.55 | + | 1294.33i | 0.0616110 | + | 0.0711029i | ||||
\(693\) | 48256.3 | + | 31012.4i | 2.64517 | + | 1.69995i | ||||
\(694\) | −5585.42 | + | 38847.5i | −0.305504 | + | 2.12483i | ||||
\(695\) | 2514.86 | − | 5506.78i | 0.137258 | − | 0.300553i | ||||
\(696\) | 618.130 | + | 4299.19i | 0.0336640 | + | 0.234138i | ||||
\(697\) | 6199.98 | + | 1820.48i | 0.336931 | + | 0.0989319i | ||||
\(698\) | 14244.2 | − | 9154.22i | 0.772425 | − | 0.496407i | ||||
\(699\) | −1529.84 | − | 3349.87i | −0.0827807 | − | 0.181264i | ||||
\(700\) | 1947.36 | − | 571.797i | 0.105148 | − | 0.0308742i | ||||
\(701\) | −3553.92 | + | 4101.44i | −0.191483 | + | 0.220983i | −0.843370 | − | 0.537333i | \(-0.819432\pi\) |
0.651887 | + | 0.758316i | \(0.273977\pi\) | |||||||
\(702\) | −8358.36 | + | 9646.06i | −0.449382 | + | 0.518614i | ||||
\(703\) | 1534.16 | − | 450.471i | 0.0823073 | − | 0.0241676i | ||||
\(704\) | 7547.28 | + | 16526.2i | 0.404047 | + | 0.884739i | ||||
\(705\) | 1031.28 | − | 662.763i | 0.0550925 | − | 0.0354058i | ||||
\(706\) | −30835.2 | − | 9054.02i | −1.64376 | − | 0.482652i | ||||
\(707\) | −1002.52 | − | 6972.69i | −0.0533291 | − | 0.370912i | ||||
\(708\) | −667.505 | + | 1461.63i | −0.0354328 | + | 0.0775869i | ||||
\(709\) | −3460.38 | + | 24067.5i | −0.183297 | + | 1.27486i | 0.665604 | + | 0.746305i | \(0.268174\pi\) |
−0.848901 | + | 0.528552i | \(0.822735\pi\) | |||||||
\(710\) | 5687.71 | + | 3655.27i | 0.300642 | + | 0.193211i | ||||
\(711\) | 18590.0 | + | 21454.0i | 0.980562 | + | 1.13163i | ||||
\(712\) | −9597.11 | −0.505150 | ||||||||
\(713\) | 6614.85 | − | 6502.75i | 0.347445 | − | 0.341557i | ||||
\(714\) | 5645.12 | 0.295887 | ||||||||
\(715\) | 16924.6 | + | 19532.1i | 0.885238 | + | 1.02162i | ||||
\(716\) | −521.995 | − | 335.466i | −0.0272456 | − | 0.0175097i | ||||
\(717\) | 502.100 | − | 3492.18i | 0.0261524 | − | 0.181894i | ||||
\(718\) | 7160.86 | − | 15680.1i | 0.372202 | − | 0.815009i | ||||
\(719\) | 4181.86 | + | 29085.5i | 0.216908 | + | 1.50863i | 0.749355 | + | 0.662168i | \(0.230364\pi\) |
−0.532447 | + | 0.846463i | \(0.678727\pi\) | |||||||
\(720\) | −9713.36 | − | 2852.10i | −0.502771 | − | 0.147627i | ||||
\(721\) | −7383.13 | + | 4744.85i | −0.381362 | + | 0.245087i | ||||
\(722\) | 8871.00 | + | 19424.8i | 0.457264 | + | 1.00127i | ||||
\(723\) | 1993.00 | − | 585.198i | 0.102518 | − | 0.0301020i | ||||
\(724\) | 1821.45 | − | 2102.06i | 0.0934994 | − | 0.107904i | ||||
\(725\) | −4137.52 | + | 4774.95i | −0.211950 | + | 0.244603i | ||||
\(726\) | −9288.97 | + | 2727.49i | −0.474857 | + | 0.139431i | ||||
\(727\) | −12656.4 | − | 27713.6i | −0.645665 | − | 1.41381i | −0.895298 | − | 0.445468i | \(-0.853037\pi\) |
0.249633 | − | 0.968340i | \(-0.419690\pi\) | |||||||
\(728\) | 38494.3 | − | 24738.8i | 1.95974 | − | 1.25945i | ||||
\(729\) | 15131.1 | + | 4442.91i | 0.768742 | + | 0.225723i | ||||
\(730\) | 263.741 | + | 1834.36i | 0.0133719 | + | 0.0930037i | ||||
\(731\) | 5868.25 | − | 12849.7i | 0.296915 | − | 0.650154i | ||||
\(732\) | −75.5844 | + | 525.701i | −0.00381650 | + | 0.0265444i | ||||
\(733\) | −18646.8 | − | 11983.6i | −0.939614 | − | 0.603853i | −0.0213284 | − | 0.999773i | \(-0.506790\pi\) |
−0.918285 | + | 0.395920i | \(0.870426\pi\) | |||||||
\(734\) | 5688.02 | + | 6564.33i | 0.286034 | + | 0.330100i | ||||
\(735\) | −3569.55 | −0.179136 | ||||||||
\(736\) | −7045.54 | − | 9581.33i | −0.352856 | − | 0.479854i | ||||
\(737\) | −13600.7 | −0.679767 | ||||||||
\(738\) | −6470.09 | − | 7466.88i | −0.322720 | − | 0.372439i | ||||
\(739\) | −31268.5 | − | 20095.1i | −1.55647 | − | 1.00028i | −0.983542 | − | 0.180678i | \(-0.942171\pi\) |
−0.572928 | − | 0.819605i | \(-0.694193\pi\) | |||||||
\(740\) | −174.759 | + | 1215.48i | −0.00868146 | + | 0.0603809i | ||||
\(741\) | −495.065 | + | 1084.04i | −0.0245434 | + | 0.0537426i | ||||
\(742\) | −1915.07 | − | 13319.6i | −0.0947497 | − | 0.658999i | ||||
\(743\) | −28073.6 | − | 8243.14i | −1.38616 | − | 0.407014i | −0.498253 | − | 0.867031i | \(-0.666025\pi\) |
−0.887910 | + | 0.460017i | \(0.847843\pi\) | |||||||
\(744\) | 1215.82 | − | 781.360i | 0.0599115 | − | 0.0385028i | ||||
\(745\) | −377.684 | − | 827.012i | −0.0185735 | − | 0.0406703i | ||||
\(746\) | 24101.5 | − | 7076.83i | 1.18286 | − | 0.347320i | ||||
\(747\) | 4978.58 | − | 5745.58i | 0.243851 | − | 0.281419i | ||||
\(748\) | 5934.54 | − | 6848.82i | 0.290091 | − | 0.334783i | ||||
\(749\) | 46943.9 | − | 13784.0i | 2.29011 | − | 0.672437i | ||||
\(750\) | 161.154 | + | 352.877i | 0.00784600 | + | 0.0171803i | ||||
\(751\) | −3846.55 | + | 2472.02i | −0.186901 | + | 0.120114i | −0.630745 | − | 0.775990i | \(-0.717251\pi\) |
0.443844 | + | 0.896104i | \(0.353614\pi\) | |||||||
\(752\) | −19034.7 | − | 5589.10i | −0.923038 | − | 0.271029i | ||||
\(753\) | −356.164 | − | 2477.18i | −0.0172369 | − | 0.119885i | ||||
\(754\) | 26311.4 | − | 57614.0i | 1.27083 | − | 2.78273i | ||||
\(755\) | 1025.92 | − | 7135.45i | 0.0494532 | − | 0.343954i | ||||
\(756\) | −3478.19 | − | 2235.29i | −0.167329 | − | 0.107536i | ||||
\(757\) | −1021.50 | − | 1178.87i | −0.0490450 | − | 0.0566009i | 0.730697 | − | 0.682702i | \(-0.239195\pi\) |
−0.779742 | + | 0.626101i | \(0.784650\pi\) | |||||||
\(758\) | −15568.9 | −0.746024 | ||||||||
\(759\) | −6225.44 | + | 3330.60i | −0.297720 | + | 0.159280i | ||||
\(760\) | −1435.69 | −0.0685237 | ||||||||
\(761\) | −18373.1 | − | 21203.7i | −0.875195 | − | 1.01003i | −0.999841 | − | 0.0178280i | \(-0.994325\pi\) |
0.124646 | − | 0.992201i | \(-0.460221\pi\) | |||||||
\(762\) | 4741.40 | + | 3047.11i | 0.225411 | + | 0.144863i | ||||
\(763\) | −3988.15 | + | 27738.2i | −0.189228 | + | 1.31611i | ||||
\(764\) | 133.407 | − | 292.120i | 0.00631740 | − | 0.0138332i |