Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,4,Mod(75,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.75");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.d (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.48414516044\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 75.11 | ||
Character | \(\chi\) | \(=\) | 76.75 |
Dual form | 76.4.d.a.75.12 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.929967 | − | 2.67117i | −0.328793 | − | 0.944402i | ||||
\(3\) | 0.246541 | 0.0474468 | 0.0237234 | − | 0.999719i | \(-0.492448\pi\) | ||||
0.0237234 | + | 0.999719i | \(0.492448\pi\) | |||||||
\(4\) | −6.27032 | + | 4.96820i | −0.783790 | + | 0.621025i | ||||
\(5\) | −6.75093 | −0.603822 | −0.301911 | − | 0.953336i | \(-0.597625\pi\) | ||||
−0.301911 | + | 0.953336i | \(0.597625\pi\) | |||||||
\(6\) | −0.229275 | − | 0.658553i | −0.0156002 | − | 0.0448089i | ||||
\(7\) | 18.0267i | 0.973353i | 0.873582 | + | 0.486676i | \(0.161791\pi\) | ||||
−0.873582 | + | 0.486676i | \(0.838209\pi\) | |||||||
\(8\) | 19.1021 | + | 12.1288i | 0.844203 | + | 0.536024i | ||||
\(9\) | −26.9392 | −0.997749 | ||||||||
\(10\) | 6.27814 | + | 18.0329i | 0.198532 | + | 0.570251i | ||||
\(11\) | 27.9384i | 0.765794i | 0.923791 | + | 0.382897i | \(0.125074\pi\) | ||||
−0.923791 | + | 0.382897i | \(0.874926\pi\) | |||||||
\(12\) | −1.54589 | + | 1.22487i | −0.0371884 | + | 0.0294657i | ||||
\(13\) | 12.9947i | 0.277236i | 0.990346 | + | 0.138618i | \(0.0442661\pi\) | ||||
−0.990346 | + | 0.138618i | \(0.955734\pi\) | |||||||
\(14\) | 48.1525 | − | 16.7643i | 0.919236 | − | 0.320032i | ||||
\(15\) | −1.66438 | −0.0286494 | ||||||||
\(16\) | 14.6339 | − | 62.3045i | 0.228655 | − | 0.973508i | ||||
\(17\) | 37.2438 | 0.531349 | 0.265675 | − | 0.964063i | \(-0.414405\pi\) | ||||
0.265675 | + | 0.964063i | \(0.414405\pi\) | |||||||
\(18\) | 25.0526 | + | 71.9593i | 0.328053 | + | 0.942276i | ||||
\(19\) | −61.2436 | + | 55.7514i | −0.739487 | + | 0.673171i | ||||
\(20\) | 42.3305 | − | 33.5400i | 0.473270 | − | 0.374989i | ||||
\(21\) | 4.44433i | 0.0461825i | ||||||||
\(22\) | 74.6282 | − | 25.9818i | 0.723217 | − | 0.251788i | ||||
\(23\) | 57.6544i | 0.522685i | 0.965246 | + | 0.261343i | \(0.0841653\pi\) | ||||
−0.965246 | + | 0.261343i | \(0.915835\pi\) | |||||||
\(24\) | 4.70945 | + | 2.99026i | 0.0400547 | + | 0.0254327i | ||||
\(25\) | −79.4249 | −0.635399 | ||||||||
\(26\) | 34.7110 | − | 12.0846i | 0.261823 | − | 0.0911534i | ||||
\(27\) | −13.2982 | −0.0947868 | ||||||||
\(28\) | −89.5606 | − | 113.034i | −0.604477 | − | 0.762905i | ||||
\(29\) | − | 132.033i | − | 0.845447i | −0.906259 | − | 0.422723i | \(-0.861074\pi\) | ||
0.906259 | − | 0.422723i | \(-0.138926\pi\) | |||||||
\(30\) | 1.54782 | + | 4.44585i | 0.00941973 | + | 0.0270566i | ||||
\(31\) | −246.064 | −1.42562 | −0.712812 | − | 0.701356i | \(-0.752579\pi\) | ||||
−0.712812 | + | 0.701356i | \(0.752579\pi\) | |||||||
\(32\) | −180.035 | + | 18.8515i | −0.994563 | + | 0.104141i | ||||
\(33\) | 6.88795i | 0.0363345i | ||||||||
\(34\) | −34.6355 | − | 99.4845i | −0.174704 | − | 0.501807i | ||||
\(35\) | − | 121.697i | − | 0.587732i | ||||||
\(36\) | 168.918 | − | 133.840i | 0.782026 | − | 0.619627i | ||||
\(37\) | − | 240.930i | − | 1.07050i | −0.844692 | − | 0.535252i | \(-0.820216\pi\) | ||
0.844692 | − | 0.535252i | \(-0.179784\pi\) | |||||||
\(38\) | 205.876 | + | 111.745i | 0.878882 | + | 0.477039i | ||||
\(39\) | 3.20372i | 0.0131540i | ||||||||
\(40\) | −128.957 | − | 81.8810i | −0.509748 | − | 0.323663i | ||||
\(41\) | 83.9105i | 0.319625i | 0.987147 | + | 0.159812i | \(0.0510889\pi\) | ||||
−0.987147 | + | 0.159812i | \(0.948911\pi\) | |||||||
\(42\) | 11.8716 | − | 4.13308i | 0.0436148 | − | 0.0151845i | ||||
\(43\) | 267.352i | 0.948157i | 0.880483 | + | 0.474078i | \(0.157219\pi\) | ||||
−0.880483 | + | 0.474078i | \(0.842781\pi\) | |||||||
\(44\) | −138.803 | − | 175.183i | −0.475578 | − | 0.600222i | ||||
\(45\) | 181.865 | 0.602462 | ||||||||
\(46\) | 154.005 | − | 53.6166i | 0.493625 | − | 0.171855i | ||||
\(47\) | − | 221.335i | − | 0.686916i | −0.939168 | − | 0.343458i | \(-0.888402\pi\) | ||
0.939168 | − | 0.343458i | \(-0.111598\pi\) | |||||||
\(48\) | 3.60785 | − | 15.3606i | 0.0108489 | − | 0.0461898i | ||||
\(49\) | 18.0364 | 0.0525844 | ||||||||
\(50\) | 73.8625 | + | 212.158i | 0.208915 | + | 0.600072i | ||||
\(51\) | 9.18211 | 0.0252108 | ||||||||
\(52\) | −64.5602 | − | 81.4808i | −0.172171 | − | 0.217295i | ||||
\(53\) | 617.838i | 1.60126i | 0.599162 | + | 0.800628i | \(0.295501\pi\) | ||||
−0.599162 | + | 0.800628i | \(0.704499\pi\) | |||||||
\(54\) | 12.3669 | + | 35.5218i | 0.0311652 | + | 0.0895169i | ||||
\(55\) | − | 188.610i | − | 0.462403i | ||||||
\(56\) | −218.644 | + | 344.349i | −0.521741 | + | 0.821707i | ||||
\(57\) | −15.0991 | + | 13.7450i | −0.0350863 | + | 0.0319398i | ||||
\(58\) | −352.684 | + | 122.787i | −0.798442 | + | 0.277977i | ||||
\(59\) | 827.579 | 1.82613 | 0.913064 | − | 0.407816i | \(-0.133710\pi\) | ||||
0.913064 | + | 0.407816i | \(0.133710\pi\) | |||||||
\(60\) | 10.4362 | − | 8.26899i | 0.0224551 | − | 0.0177920i | ||||
\(61\) | −13.9150 | −0.0292070 | −0.0146035 | − | 0.999893i | \(-0.504649\pi\) | ||||
−0.0146035 | + | 0.999893i | \(0.504649\pi\) | |||||||
\(62\) | 228.831 | + | 657.278i | 0.468735 | + | 1.34636i | ||||
\(63\) | − | 485.626i | − | 0.971162i | ||||||
\(64\) | 217.782 | + | 463.373i | 0.425356 | + | 0.905026i | ||||
\(65\) | − | 87.7262i | − | 0.167401i | ||||||
\(66\) | 18.3989 | − | 6.40557i | 0.0343144 | − | 0.0119465i | ||||
\(67\) | 524.989 | 0.957278 | 0.478639 | − | 0.878012i | \(-0.341130\pi\) | ||||
0.478639 | + | 0.878012i | \(0.341130\pi\) | |||||||
\(68\) | −233.530 | + | 185.035i | −0.416466 | + | 0.329981i | ||||
\(69\) | 14.2142i | 0.0247998i | ||||||||
\(70\) | −325.075 | + | 113.175i | −0.555055 | + | 0.193242i | ||||
\(71\) | 460.480 | 0.769703 | 0.384851 | − | 0.922979i | \(-0.374253\pi\) | ||||
0.384851 | + | 0.922979i | \(0.374253\pi\) | |||||||
\(72\) | −514.596 | − | 326.742i | −0.842302 | − | 0.534818i | ||||
\(73\) | −56.8229 | −0.0911044 | −0.0455522 | − | 0.998962i | \(-0.514505\pi\) | ||||
−0.0455522 | + | 0.998962i | \(0.514505\pi\) | |||||||
\(74\) | −643.566 | + | 224.057i | −1.01099 | + | 0.351975i | ||||
\(75\) | −19.5815 | −0.0301477 | ||||||||
\(76\) | 107.033 | − | 653.850i | 0.161546 | − | 0.986865i | ||||
\(77\) | −503.638 | −0.745388 | ||||||||
\(78\) | 8.55768 | − | 2.97935i | 0.0124227 | − | 0.00432494i | ||||
\(79\) | −760.715 | −1.08338 | −0.541691 | − | 0.840578i | \(-0.682216\pi\) | ||||
−0.541691 | + | 0.840578i | \(0.682216\pi\) | |||||||
\(80\) | −98.7925 | + | 420.613i | −0.138067 | + | 0.587825i | ||||
\(81\) | 724.080 | 0.993251 | ||||||||
\(82\) | 224.139 | − | 78.0340i | 0.301854 | − | 0.105090i | ||||
\(83\) | 574.450i | 0.759688i | 0.925051 | + | 0.379844i | \(0.124022\pi\) | ||||
−0.925051 | + | 0.379844i | \(0.875978\pi\) | |||||||
\(84\) | −22.0803 | − | 27.8674i | −0.0286805 | − | 0.0361974i | ||||
\(85\) | −251.430 | −0.320840 | ||||||||
\(86\) | 714.142 | − | 248.628i | 0.895441 | − | 0.311747i | ||||
\(87\) | − | 32.5516i | − | 0.0401138i | ||||||
\(88\) | −338.860 | + | 533.682i | −0.410484 | + | 0.646485i | ||||
\(89\) | 811.570i | 0.966587i | 0.875458 | + | 0.483293i | \(0.160560\pi\) | ||||
−0.875458 | + | 0.483293i | \(0.839440\pi\) | |||||||
\(90\) | −169.128 | − | 485.792i | −0.198085 | − | 0.568967i | ||||
\(91\) | −234.252 | −0.269849 | ||||||||
\(92\) | −286.439 | − | 361.511i | −0.324601 | − | 0.409676i | ||||
\(93\) | −60.6647 | −0.0676413 | ||||||||
\(94\) | −591.225 | + | 205.835i | −0.648725 | + | 0.225853i | ||||
\(95\) | 413.452 | − | 376.374i | 0.446518 | − | 0.406475i | ||||
\(96\) | −44.3860 | + | 4.64765i | −0.0471888 | + | 0.00494114i | ||||
\(97\) | − | 1512.68i | − | 1.58339i | −0.610915 | − | 0.791696i | \(-0.709198\pi\) | ||
0.610915 | − | 0.791696i | \(-0.290802\pi\) | |||||||
\(98\) | −16.7733 | − | 48.1784i | −0.0172894 | − | 0.0496608i | ||||
\(99\) | − | 752.638i | − | 0.764070i | ||||||
\(100\) | 498.020 | − | 394.599i | 0.498020 | − | 0.394599i | ||||
\(101\) | 410.499 | 0.404417 | 0.202209 | − | 0.979342i | \(-0.435188\pi\) | ||||
0.202209 | + | 0.979342i | \(0.435188\pi\) | |||||||
\(102\) | −8.53906 | − | 24.5270i | −0.00828915 | − | 0.0238092i | ||||
\(103\) | −215.919 | −0.206555 | −0.103277 | − | 0.994653i | \(-0.532933\pi\) | ||||
−0.103277 | + | 0.994653i | \(0.532933\pi\) | |||||||
\(104\) | −157.610 | + | 248.226i | −0.148605 | + | 0.234044i | ||||
\(105\) | − | 30.0034i | − | 0.0278860i | ||||||
\(106\) | 1650.35 | − | 574.569i | 1.51223 | − | 0.526482i | ||||
\(107\) | −721.444 | −0.651819 | −0.325909 | − | 0.945401i | \(-0.605670\pi\) | ||||
−0.325909 | + | 0.945401i | \(0.605670\pi\) | |||||||
\(108\) | 83.3842 | − | 66.0683i | 0.0742930 | − | 0.0588650i | ||||
\(109\) | 445.834i | 0.391772i | 0.980627 | + | 0.195886i | \(0.0627582\pi\) | ||||
−0.980627 | + | 0.195886i | \(0.937242\pi\) | |||||||
\(110\) | −503.810 | + | 175.401i | −0.436694 | + | 0.152035i | ||||
\(111\) | − | 59.3992i | − | 0.0507921i | ||||||
\(112\) | 1123.15 | + | 263.802i | 0.947566 | + | 0.222562i | ||||
\(113\) | 19.2095i | 0.0159918i | 0.999968 | + | 0.00799592i | \(0.00254521\pi\) | ||||
−0.999968 | + | 0.00799592i | \(0.997455\pi\) | |||||||
\(114\) | 50.7569 | + | 27.5498i | 0.0417002 | + | 0.0226340i | ||||
\(115\) | − | 389.221i | − | 0.315609i | ||||||
\(116\) | 655.968 | + | 827.891i | 0.525044 | + | 0.662653i | ||||
\(117\) | − | 350.066i | − | 0.276612i | ||||||
\(118\) | −769.621 | − | 2210.60i | −0.600418 | − | 1.72460i | ||||
\(119\) | 671.384i | 0.517190i | ||||||||
\(120\) | −31.7932 | − | 20.1870i | −0.0241859 | − | 0.0153568i | ||||
\(121\) | 550.448 | 0.413560 | ||||||||
\(122\) | 12.9404 | + | 37.1692i | 0.00960306 | + | 0.0275831i | ||||
\(123\) | 20.6874i | 0.0151652i | ||||||||
\(124\) | 1542.90 | − | 1222.49i | 1.11739 | − | 0.885348i | ||||
\(125\) | 1380.06 | 0.987490 | ||||||||
\(126\) | −1297.19 | + | 451.617i | −0.917167 | + | 0.319311i | ||||
\(127\) | −2429.88 | −1.69777 | −0.848885 | − | 0.528578i | \(-0.822725\pi\) | ||||
−0.848885 | + | 0.528578i | \(0.822725\pi\) | |||||||
\(128\) | 1035.22 | − | 1012.66i | 0.714855 | − | 0.699273i | ||||
\(129\) | 65.9131i | 0.0449870i | ||||||||
\(130\) | −234.332 | + | 81.5824i | −0.158094 | + | 0.0550404i | ||||
\(131\) | 1610.26i | 1.07396i | 0.843593 | + | 0.536982i | \(0.180436\pi\) | ||||
−0.843593 | + | 0.536982i | \(0.819564\pi\) | |||||||
\(132\) | −34.2207 | − | 43.1897i | −0.0225646 | − | 0.0284786i | ||||
\(133\) | −1005.02 | − | 1104.02i | −0.655233 | − | 0.719782i | ||||
\(134\) | −488.223 | − | 1402.34i | −0.314746 | − | 0.904056i | ||||
\(135\) | 89.7754 | 0.0572344 | ||||||||
\(136\) | 711.435 | + | 451.724i | 0.448566 | + | 0.284816i | ||||
\(137\) | −2303.04 | −1.43622 | −0.718109 | − | 0.695930i | \(-0.754992\pi\) | ||||
−0.718109 | + | 0.695930i | \(0.754992\pi\) | |||||||
\(138\) | 37.9685 | − | 13.2187i | 0.0234209 | − | 0.00815399i | ||||
\(139\) | 2187.99i | 1.33513i | 0.744551 | + | 0.667565i | \(0.232663\pi\) | ||||
−0.744551 | + | 0.667565i | \(0.767337\pi\) | |||||||
\(140\) | 604.617 | + | 763.082i | 0.364996 | + | 0.460658i | ||||
\(141\) | − | 54.5682i | − | 0.0325920i | ||||||
\(142\) | −428.231 | − | 1230.02i | −0.253073 | − | 0.726909i | ||||
\(143\) | −363.050 | −0.212306 | ||||||||
\(144\) | −394.226 | + | 1678.43i | −0.228140 | + | 0.971316i | ||||
\(145\) | 891.348i | 0.510499i | ||||||||
\(146\) | 52.8434 | + | 151.784i | 0.0299545 | + | 0.0860392i | ||||
\(147\) | 4.44672 | 0.00249496 | ||||||||
\(148\) | 1196.99 | + | 1510.71i | 0.664811 | + | 0.839051i | ||||
\(149\) | −1158.18 | −0.636793 | −0.318396 | − | 0.947958i | \(-0.603144\pi\) | ||||
−0.318396 | + | 0.947958i | \(0.603144\pi\) | |||||||
\(150\) | 18.2101 | + | 52.3055i | 0.00991234 | + | 0.0284715i | ||||
\(151\) | −213.320 | −0.114965 | −0.0574826 | − | 0.998347i | \(-0.518307\pi\) | ||||
−0.0574826 | + | 0.998347i | \(0.518307\pi\) | |||||||
\(152\) | −1846.08 | + | 322.156i | −0.985113 | + | 0.171910i | ||||
\(153\) | −1003.32 | −0.530153 | ||||||||
\(154\) | 468.366 | + | 1345.30i | 0.245078 | + | 0.703946i | ||||
\(155\) | 1661.16 | 0.860822 | ||||||||
\(156\) | −15.9167 | − | 20.0883i | −0.00816896 | − | 0.0103100i | ||||
\(157\) | 753.700 | 0.383133 | 0.191566 | − | 0.981480i | \(-0.438643\pi\) | ||||
0.191566 | + | 0.981480i | \(0.438643\pi\) | |||||||
\(158\) | 707.440 | + | 2032.00i | 0.356208 | + | 1.02315i | ||||
\(159\) | 152.322i | 0.0759745i | ||||||||
\(160\) | 1215.40 | − | 127.265i | 0.600539 | − | 0.0628823i | ||||
\(161\) | −1039.32 | −0.508757 | ||||||||
\(162\) | −673.371 | − | 1934.14i | −0.326574 | − | 0.938029i | ||||
\(163\) | 3063.09i | 1.47190i | 0.677035 | + | 0.735951i | \(0.263265\pi\) | ||||
−0.677035 | + | 0.735951i | \(0.736735\pi\) | |||||||
\(164\) | −416.884 | − | 526.146i | −0.198495 | − | 0.250519i | ||||
\(165\) | − | 46.5001i | − | 0.0219396i | ||||||
\(166\) | 1534.45 | − | 534.219i | 0.717451 | − | 0.249780i | ||||
\(167\) | −2186.60 | −1.01320 | −0.506601 | − | 0.862181i | \(-0.669098\pi\) | ||||
−0.506601 | + | 0.862181i | \(0.669098\pi\) | |||||||
\(168\) | −53.9046 | + | 84.8961i | −0.0247549 | + | 0.0389874i | ||||
\(169\) | 2028.14 | 0.923140 | ||||||||
\(170\) | 233.822 | + | 671.613i | 0.105490 | + | 0.303002i | ||||
\(171\) | 1649.86 | − | 1501.90i | 0.737822 | − | 0.671656i | ||||
\(172\) | −1328.26 | − | 1676.38i | −0.588829 | − | 0.743156i | ||||
\(173\) | − | 2613.14i | − | 1.14840i | −0.818714 | − | 0.574201i | \(-0.805313\pi\) | ||
0.818714 | − | 0.574201i | \(-0.194687\pi\) | |||||||
\(174\) | −86.9509 | + | 30.2719i | −0.0378835 | + | 0.0131891i | ||||
\(175\) | − | 1431.77i | − | 0.618468i | ||||||
\(176\) | 1740.69 | + | 408.847i | 0.745506 | + | 0.175102i | ||||
\(177\) | 204.032 | 0.0866440 | ||||||||
\(178\) | 2167.84 | − | 754.733i | 0.912846 | − | 0.317807i | ||||
\(179\) | 2820.94 | 1.17792 | 0.588959 | − | 0.808163i | \(-0.299538\pi\) | ||||
0.588959 | + | 0.808163i | \(0.299538\pi\) | |||||||
\(180\) | −1140.35 | + | 903.542i | −0.472204 | + | 0.374145i | ||||
\(181\) | 3475.99i | 1.42745i | 0.700427 | + | 0.713724i | \(0.252993\pi\) | ||||
−0.700427 | + | 0.713724i | \(0.747007\pi\) | |||||||
\(182\) | 217.846 | + | 625.726i | 0.0887244 | + | 0.254846i | ||||
\(183\) | −3.43060 | −0.00138578 | ||||||||
\(184\) | −699.281 | + | 1101.32i | −0.280172 | + | 0.441252i | ||||
\(185\) | 1626.50i | 0.646394i | ||||||||
\(186\) | 56.4162 | + | 162.046i | 0.0222400 | + | 0.0638806i | ||||
\(187\) | 1040.53i | 0.406904i | ||||||||
\(188\) | 1099.64 | + | 1387.84i | 0.426593 | + | 0.538399i | ||||
\(189\) | − | 239.724i | − | 0.0922610i | ||||||
\(190\) | −1389.86 | − | 754.385i | −0.530688 | − | 0.288046i | ||||
\(191\) | − | 4511.47i | − | 1.70910i | −0.519368 | − | 0.854551i | \(-0.673833\pi\) | ||
0.519368 | − | 0.854551i | \(-0.326167\pi\) | |||||||
\(192\) | 53.6922 | + | 114.241i | 0.0201818 | + | 0.0429406i | ||||
\(193\) | 2908.28i | 1.08467i | 0.840161 | + | 0.542337i | \(0.182461\pi\) | ||||
−0.840161 | + | 0.542337i | \(0.817539\pi\) | |||||||
\(194\) | −4040.62 | + | 1406.74i | −1.49536 | + | 0.520608i | ||||
\(195\) | − | 21.6281i | − | 0.00794266i | ||||||
\(196\) | −113.094 | + | 89.6087i | −0.0412151 | + | 0.0326562i | ||||
\(197\) | 3842.55 | 1.38970 | 0.694848 | − | 0.719156i | \(-0.255471\pi\) | ||||
0.694848 | + | 0.719156i | \(0.255471\pi\) | |||||||
\(198\) | −2010.42 | + | 699.928i | −0.721589 | + | 0.251221i | ||||
\(199\) | − | 1428.56i | − | 0.508886i | −0.967088 | − | 0.254443i | \(-0.918108\pi\) | ||
0.967088 | − | 0.254443i | \(-0.0818921\pi\) | |||||||
\(200\) | −1517.18 | − | 963.332i | −0.536406 | − | 0.340589i | ||||
\(201\) | 129.431 | 0.0454198 | ||||||||
\(202\) | −381.750 | − | 1096.51i | −0.132970 | − | 0.381933i | ||||
\(203\) | 2380.13 | 0.822918 | ||||||||
\(204\) | −57.5748 | + | 45.6186i | −0.0197600 | + | 0.0156566i | ||||
\(205\) | − | 566.474i | − | 0.192996i | ||||||
\(206\) | 200.798 | + | 576.758i | 0.0679138 | + | 0.195071i | ||||
\(207\) | − | 1553.16i | − | 0.521509i | ||||||
\(208\) | 809.626 | + | 190.163i | 0.269892 | + | 0.0633914i | ||||
\(209\) | −1557.60 | − | 1711.05i | −0.515510 | − | 0.566294i | ||||
\(210\) | −80.1442 | + | 27.9022i | −0.0263356 | + | 0.00916872i | ||||
\(211\) | 516.792 | 0.168613 | 0.0843067 | − | 0.996440i | \(-0.473132\pi\) | ||||
0.0843067 | + | 0.996440i | \(0.473132\pi\) | |||||||
\(212\) | −3069.54 | − | 3874.04i | −0.994421 | − | 1.25505i | ||||
\(213\) | 113.527 | 0.0365200 | ||||||||
\(214\) | 670.919 | + | 1927.10i | 0.214313 | + | 0.615579i | ||||
\(215\) | − | 1804.87i | − | 0.572518i | ||||||
\(216\) | −254.024 | − | 161.292i | −0.0800193 | − | 0.0508081i | ||||
\(217\) | − | 4435.72i | − | 1.38763i | ||||||
\(218\) | 1190.90 | − | 414.611i | 0.369990 | − | 0.128812i | ||||
\(219\) | −14.0092 | −0.00432261 | ||||||||
\(220\) | 937.053 | + | 1182.65i | 0.287164 | + | 0.362427i | ||||
\(221\) | 483.970i | 0.147309i | ||||||||
\(222\) | −158.665 | + | 55.2393i | −0.0479681 | + | 0.0167001i | ||||
\(223\) | −4415.35 | −1.32589 | −0.662945 | − | 0.748668i | \(-0.730694\pi\) | ||||
−0.662945 | + | 0.748668i | \(0.730694\pi\) | |||||||
\(224\) | −339.830 | − | 3245.45i | −0.101365 | − | 0.968060i | ||||
\(225\) | 2139.64 | 0.633969 | ||||||||
\(226\) | 51.3119 | − | 17.8642i | 0.0151027 | − | 0.00525800i | ||||
\(227\) | 717.608 | 0.209821 | 0.104910 | − | 0.994482i | \(-0.466544\pi\) | ||||
0.104910 | + | 0.994482i | \(0.466544\pi\) | |||||||
\(228\) | 26.3880 | − | 161.201i | 0.00766485 | − | 0.0468236i | ||||
\(229\) | −4981.48 | −1.43749 | −0.718746 | − | 0.695273i | \(-0.755284\pi\) | ||||
−0.718746 | + | 0.695273i | \(0.755284\pi\) | |||||||
\(230\) | −1039.68 | + | 361.962i | −0.298062 | + | 0.103770i | ||||
\(231\) | −124.167 | −0.0353663 | ||||||||
\(232\) | 1601.41 | − | 2522.12i | 0.453180 | − | 0.713728i | ||||
\(233\) | 4850.87 | 1.36391 | 0.681956 | − | 0.731394i | \(-0.261130\pi\) | ||||
0.681956 | + | 0.731394i | \(0.261130\pi\) | |||||||
\(234\) | −935.087 | + | 325.550i | −0.261233 | + | 0.0909482i | ||||
\(235\) | 1494.22i | 0.414775i | ||||||||
\(236\) | −5189.18 | + | 4111.58i | −1.43130 | + | 1.13407i | ||||
\(237\) | −187.547 | −0.0514030 | ||||||||
\(238\) | 1793.38 | − | 624.365i | 0.488436 | − | 0.170049i | ||||
\(239\) | − | 2275.85i | − | 0.615951i | −0.951394 | − | 0.307975i | \(-0.900349\pi\) | ||
0.951394 | − | 0.307975i | \(-0.0996515\pi\) | |||||||
\(240\) | −24.3564 | + | 103.698i | −0.00655082 | + | 0.0278904i | ||||
\(241\) | − | 3540.83i | − | 0.946410i | −0.880952 | − | 0.473205i | \(-0.843097\pi\) | ||
0.880952 | − | 0.473205i | \(-0.156903\pi\) | |||||||
\(242\) | −511.898 | − | 1470.34i | −0.135976 | − | 0.390567i | ||||
\(243\) | 537.567 | 0.141913 | ||||||||
\(244\) | 87.2512 | − | 69.1323i | 0.0228922 | − | 0.0181383i | ||||
\(245\) | −121.763 | −0.0317516 | ||||||||
\(246\) | 55.2595 | − | 19.2386i | 0.0143220 | − | 0.00498620i | ||||
\(247\) | −724.471 | − | 795.841i | −0.186628 | − | 0.205013i | ||||
\(248\) | −4700.34 | − | 2984.47i | −1.20351 | − | 0.764169i | ||||
\(249\) | 141.625i | 0.0360448i | ||||||||
\(250\) | −1283.41 | − | 3686.37i | −0.324680 | − | 0.932587i | ||||
\(251\) | − | 1176.90i | − | 0.295957i | −0.988991 | − | 0.147979i | \(-0.952723\pi\) | ||
0.988991 | − | 0.147979i | \(-0.0472766\pi\) | |||||||
\(252\) | 2412.69 | + | 3045.03i | 0.603116 | + | 0.761187i | ||||
\(253\) | −1610.77 | −0.400269 | ||||||||
\(254\) | 2259.71 | + | 6490.62i | 0.558215 | + | 1.60338i | ||||
\(255\) | −61.9878 | −0.0152229 | ||||||||
\(256\) | −3667.70 | − | 1823.52i | −0.895434 | − | 0.445194i | ||||
\(257\) | 3859.07i | 0.936663i | 0.883553 | + | 0.468331i | \(0.155145\pi\) | ||||
−0.883553 | + | 0.468331i | \(0.844855\pi\) | |||||||
\(258\) | 176.065 | − | 61.2970i | 0.0424858 | − | 0.0147914i | ||||
\(259\) | 4343.19 | 1.04198 | ||||||||
\(260\) | 435.841 | + | 550.071i | 0.103961 | + | 0.131208i | ||||
\(261\) | 3556.87i | 0.843544i | ||||||||
\(262\) | 4301.29 | − | 1497.49i | 1.01425 | − | 0.353112i | ||||
\(263\) | − | 2998.38i | − | 0.702996i | −0.936189 | − | 0.351498i | \(-0.885672\pi\) | ||
0.936189 | − | 0.351498i | \(-0.114328\pi\) | |||||||
\(264\) | −83.5429 | + | 131.574i | −0.0194762 | + | 0.0306737i | ||||
\(265\) | − | 4170.98i | − | 0.966873i | ||||||
\(266\) | −2014.40 | + | 3711.28i | −0.464327 | + | 0.855462i | ||||
\(267\) | 200.085i | 0.0458615i | ||||||||
\(268\) | −3291.85 | + | 2608.25i | −0.750305 | + | 0.594494i | ||||
\(269\) | 6994.80i | 1.58543i | 0.609593 | + | 0.792714i | \(0.291333\pi\) | ||||
−0.609593 | + | 0.792714i | \(0.708667\pi\) | |||||||
\(270\) | −83.4882 | − | 239.806i | −0.0188183 | − | 0.0540522i | ||||
\(271\) | 7456.46i | 1.67139i | 0.549191 | + | 0.835697i | \(0.314936\pi\) | ||||
−0.549191 | + | 0.835697i | \(0.685064\pi\) | |||||||
\(272\) | 545.021 | − | 2320.45i | 0.121495 | − | 0.517273i | ||||
\(273\) | −57.7526 | −0.0128035 | ||||||||
\(274\) | 2141.75 | + | 6151.82i | 0.472219 | + | 1.35637i | ||||
\(275\) | − | 2219.00i | − | 0.486585i | ||||||
\(276\) | −70.6188 | − | 89.1274i | −0.0154013 | − | 0.0194378i | ||||
\(277\) | 4717.41 | 1.02326 | 0.511628 | − | 0.859207i | \(-0.329043\pi\) | ||||
0.511628 | + | 0.859207i | \(0.329043\pi\) | |||||||
\(278\) | 5844.51 | − | 2034.76i | 1.26090 | − | 0.438982i | ||||
\(279\) | 6628.76 | 1.42241 | ||||||||
\(280\) | 1476.05 | − | 2324.68i | 0.315038 | − | 0.496165i | ||||
\(281\) | 4619.68i | 0.980736i | 0.871515 | + | 0.490368i | \(0.163138\pi\) | ||||
−0.871515 | + | 0.490368i | \(0.836862\pi\) | |||||||
\(282\) | −145.761 | + | 50.7466i | −0.0307800 | + | 0.0107160i | ||||
\(283\) | 5346.10i | 1.12294i | 0.827496 | + | 0.561471i | \(0.189765\pi\) | ||||
−0.827496 | + | 0.561471i | \(0.810235\pi\) | |||||||
\(284\) | −2887.36 | + | 2287.76i | −0.603286 | + | 0.478005i | ||||
\(285\) | 101.933 | − | 92.7916i | 0.0211859 | − | 0.0192860i | ||||
\(286\) | 337.624 | + | 969.769i | 0.0698047 | + | 0.200502i | ||||
\(287\) | −1512.63 | −0.311108 | ||||||||
\(288\) | 4850.00 | − | 507.843i | 0.992324 | − | 0.103906i | ||||
\(289\) | −3525.90 | −0.717668 | ||||||||
\(290\) | 2380.94 | − | 828.924i | 0.482116 | − | 0.167849i | ||||
\(291\) | − | 372.937i | − | 0.0751269i | ||||||
\(292\) | 356.298 | − | 282.308i | 0.0714067 | − | 0.0565782i | ||||
\(293\) | − | 7646.93i | − | 1.52470i | −0.647162 | − | 0.762352i | \(-0.724044\pi\) | ||
0.647162 | − | 0.762352i | \(-0.275956\pi\) | |||||||
\(294\) | −4.13530 | − | 11.8780i | −0.000820326 | − | 0.00235625i | ||||
\(295\) | −5586.93 | −1.10266 | ||||||||
\(296\) | 2922.21 | − | 4602.28i | 0.573817 | − | 0.903723i | ||||
\(297\) | − | 371.531i | − | 0.0725872i | ||||||
\(298\) | 1077.07 | + | 3093.71i | 0.209373 | + | 0.601388i | ||||
\(299\) | −749.199 | −0.144907 | ||||||||
\(300\) | 122.782 | − | 97.2848i | 0.0236295 | − | 0.0187225i | ||||
\(301\) | −4819.48 | −0.922891 | ||||||||
\(302\) | 198.381 | + | 569.815i | 0.0377997 | + | 0.108573i | ||||
\(303\) | 101.205 | 0.0191883 | ||||||||
\(304\) | 2577.33 | + | 4631.61i | 0.486250 | + | 0.873820i | ||||
\(305\) | 93.9389 | 0.0176358 | ||||||||
\(306\) | 933.052 | + | 2680.03i | 0.174311 | + | 0.500678i | ||||
\(307\) | −6754.61 | −1.25572 | −0.627860 | − | 0.778326i | \(-0.716069\pi\) | ||||
−0.627860 | + | 0.778326i | \(0.716069\pi\) | |||||||
\(308\) | 3157.97 | − | 2502.17i | 0.584228 | − | 0.462905i | ||||
\(309\) | −53.2330 | −0.00980038 | ||||||||
\(310\) | −1544.82 | − | 4437.24i | −0.283032 | − | 0.812962i | ||||
\(311\) | 8679.56i | 1.58255i | 0.611461 | + | 0.791274i | \(0.290582\pi\) | ||||
−0.611461 | + | 0.791274i | \(0.709418\pi\) | |||||||
\(312\) | −38.8574 | + | 61.1978i | −0.00705086 | + | 0.0111046i | ||||
\(313\) | −7697.07 | −1.38998 | −0.694991 | − | 0.719019i | \(-0.744592\pi\) | ||||
−0.694991 | + | 0.719019i | \(0.744592\pi\) | |||||||
\(314\) | −700.916 | − | 2013.26i | −0.125971 | − | 0.361831i | ||||
\(315\) | 3278.43i | 0.586409i | ||||||||
\(316\) | 4769.93 | − | 3779.39i | 0.849144 | − | 0.672807i | ||||
\(317\) | − | 7703.18i | − | 1.36484i | −0.730961 | − | 0.682419i | \(-0.760928\pi\) | ||
0.730961 | − | 0.682419i | \(-0.239072\pi\) | |||||||
\(318\) | 406.879 | − | 141.655i | 0.0717505 | − | 0.0249799i | ||||
\(319\) | 3688.79 | 0.647438 | ||||||||
\(320\) | −1470.23 | − | 3128.20i | −0.256839 | − | 0.546475i | ||||
\(321\) | −177.865 | −0.0309267 | ||||||||
\(322\) | 966.534 | + | 2776.20i | 0.167276 | + | 0.480471i | ||||
\(323\) | −2280.94 | + | 2076.39i | −0.392926 | + | 0.357689i | ||||
\(324\) | −4540.22 | + | 3597.38i | −0.778501 | + | 0.616834i | ||||
\(325\) | − | 1032.10i | − | 0.176156i | ||||||
\(326\) | 8182.05 | − | 2848.58i | 1.39007 | − | 0.483951i | ||||
\(327\) | 109.916i | 0.0185883i | ||||||||
\(328\) | −1017.74 | + | 1602.87i | −0.171327 | + | 0.269828i | ||||
\(329\) | 3989.96 | 0.668612 | ||||||||
\(330\) | −124.210 | + | 43.2435i | −0.0207198 | + | 0.00721357i | ||||
\(331\) | −2320.05 | −0.385261 | −0.192631 | − | 0.981271i | \(-0.561702\pi\) | ||||
−0.192631 | + | 0.981271i | \(0.561702\pi\) | |||||||
\(332\) | −2853.98 | − | 3601.99i | −0.471785 | − | 0.595436i | ||||
\(333\) | 6490.47i | 1.06810i | ||||||||
\(334\) | 2033.47 | + | 5840.80i | 0.333133 | + | 0.956869i | ||||
\(335\) | −3544.17 | −0.578025 | ||||||||
\(336\) | 276.902 | + | 65.0379i | 0.0449590 | + | 0.0105598i | ||||
\(337\) | 8850.65i | 1.43064i | 0.698797 | + | 0.715320i | \(0.253719\pi\) | ||||
−0.698797 | + | 0.715320i | \(0.746281\pi\) | |||||||
\(338\) | −1886.10 | − | 5417.51i | −0.303522 | − | 0.871815i | ||||
\(339\) | 4.73593i | 0.000758762i | ||||||||
\(340\) | 1576.55 | − | 1249.16i | 0.251472 | − | 0.199250i | ||||
\(341\) | − | 6874.61i | − | 1.09173i | ||||||
\(342\) | −5546.14 | − | 3010.33i | −0.876904 | − | 0.475965i | ||||
\(343\) | 6508.31i | 1.02454i | ||||||||
\(344\) | −3242.67 | + | 5106.98i | −0.508235 | + | 0.800436i | ||||
\(345\) | − | 95.9588i | − | 0.0149746i | ||||||
\(346\) | −6980.15 | + | 2430.14i | −1.08455 | + | 0.377587i | ||||
\(347\) | − | 3196.66i | − | 0.494541i | −0.968946 | − | 0.247271i | \(-0.920466\pi\) | ||
0.968946 | − | 0.247271i | \(-0.0795337\pi\) | |||||||
\(348\) | 161.723 | + | 204.109i | 0.0249117 | + | 0.0314408i | ||||
\(349\) | 2658.67 | 0.407780 | 0.203890 | − | 0.978994i | \(-0.434642\pi\) | ||||
0.203890 | + | 0.978994i | \(0.434642\pi\) | |||||||
\(350\) | −3824.51 | + | 1331.50i | −0.584082 | + | 0.203348i | ||||
\(351\) | − | 172.806i | − | 0.0262784i | ||||||
\(352\) | −526.679 | − | 5029.88i | −0.0797502 | − | 0.761630i | ||||
\(353\) | −2643.21 | −0.398537 | −0.199269 | − | 0.979945i | \(-0.563857\pi\) | ||||
−0.199269 | + | 0.979945i | \(0.563857\pi\) | |||||||
\(354\) | −189.743 | − | 545.005i | −0.0284879 | − | 0.0818267i | ||||
\(355\) | −3108.67 | −0.464763 | ||||||||
\(356\) | −4032.04 | − | 5088.80i | −0.600275 | − | 0.757601i | ||||
\(357\) | 165.524i | 0.0245390i | ||||||||
\(358\) | −2623.38 | − | 7535.23i | −0.387291 | − | 1.11243i | ||||
\(359\) | − | 6635.96i | − | 0.975578i | −0.872961 | − | 0.487789i | \(-0.837803\pi\) | ||
0.872961 | − | 0.487789i | \(-0.162197\pi\) | |||||||
\(360\) | 3474.00 | + | 2205.81i | 0.508600 | + | 0.322935i | ||||
\(361\) | 642.561 | − | 6828.84i | 0.0936814 | − | 0.995602i | ||||
\(362\) | 9284.96 | − | 3232.55i | 1.34808 | − | 0.469335i | ||||
\(363\) | 135.708 | 0.0196221 | ||||||||
\(364\) | 1468.83 | − | 1163.81i | 0.211505 | − | 0.167583i | ||||
\(365\) | 383.608 | 0.0550108 | ||||||||
\(366\) | 3.19035 | + | 9.16374i | 0.000455634 | + | 0.00130873i | ||||
\(367\) | − | 5628.20i | − | 0.800517i | −0.916402 | − | 0.400259i | \(-0.868920\pi\) | ||
0.916402 | − | 0.400259i | \(-0.131080\pi\) | |||||||
\(368\) | 3592.13 | + | 843.708i | 0.508838 | + | 0.119514i | ||||
\(369\) | − | 2260.48i | − | 0.318905i | ||||||
\(370\) | 4344.67 | − | 1512.59i | 0.610456 | − | 0.212530i | ||||
\(371\) | −11137.6 | −1.55859 | ||||||||
\(372\) | 380.387 | − | 301.395i | 0.0530166 | − | 0.0420070i | ||||
\(373\) | − | 2806.30i | − | 0.389558i | −0.980847 | − | 0.194779i | \(-0.937601\pi\) | ||
0.980847 | − | 0.194779i | \(-0.0623989\pi\) | |||||||
\(374\) | 2779.43 | − | 967.658i | 0.384281 | − | 0.133787i | ||||
\(375\) | 340.241 | 0.0468532 | ||||||||
\(376\) | 2684.54 | − | 4227.97i | 0.368204 | − | 0.579897i | ||||
\(377\) | 1715.73 | 0.234389 | ||||||||
\(378\) | −640.343 | + | 222.935i | −0.0871315 | + | 0.0303348i | ||||
\(379\) | 11151.1 | 1.51133 | 0.755666 | − | 0.654957i | \(-0.227313\pi\) | ||||
0.755666 | + | 0.654957i | \(0.227313\pi\) | |||||||
\(380\) | −722.572 | + | 4414.10i | −0.0975451 | + | 0.595891i | ||||
\(381\) | −599.064 | −0.0805538 | ||||||||
\(382\) | −12050.9 | + | 4195.52i | −1.61408 | + | 0.561940i | ||||
\(383\) | −2665.61 | −0.355630 | −0.177815 | − | 0.984064i | \(-0.556903\pi\) | ||||
−0.177815 | + | 0.984064i | \(0.556903\pi\) | |||||||
\(384\) | 255.224 | − | 249.661i | 0.0339176 | − | 0.0331783i | ||||
\(385\) | 3400.02 | 0.450081 | ||||||||
\(386\) | 7768.51 | − | 2704.60i | 1.02437 | − | 0.356634i | ||||
\(387\) | − | 7202.24i | − | 0.946022i | ||||||
\(388\) | 7515.28 | + | 9484.97i | 0.983327 | + | 1.24105i | ||||
\(389\) | 9326.53 | 1.21561 | 0.607807 | − | 0.794085i | \(-0.292049\pi\) | ||||
0.607807 | + | 0.794085i | \(0.292049\pi\) | |||||||
\(390\) | −57.7723 | + | 20.1134i | −0.00750107 | + | 0.00261149i | ||||
\(391\) | 2147.27i | 0.277729i | ||||||||
\(392\) | 344.534 | + | 218.761i | 0.0443919 | + | 0.0281865i | ||||
\(393\) | 396.996i | 0.0509562i | ||||||||
\(394\) | −3573.44 | − | 10264.1i | −0.456923 | − | 1.31243i | ||||
\(395\) | 5135.54 | 0.654169 | ||||||||
\(396\) | 3739.26 | + | 4719.28i | 0.474507 | + | 0.598871i | ||||
\(397\) | 3278.46 | 0.414462 | 0.207231 | − | 0.978292i | \(-0.433555\pi\) | ||||
0.207231 | + | 0.978292i | \(0.433555\pi\) | |||||||
\(398\) | −3815.94 | + | 1328.52i | −0.480593 | + | 0.167318i | ||||
\(399\) | −247.778 | − | 272.187i | −0.0310887 | − | 0.0341513i | ||||
\(400\) | −1162.30 | + | 4948.53i | −0.145287 | + | 0.618566i | ||||
\(401\) | − | 13475.6i | − | 1.67816i | −0.544011 | − | 0.839078i | \(-0.683095\pi\) | ||
0.544011 | − | 0.839078i | \(-0.316905\pi\) | |||||||
\(402\) | −120.367 | − | 345.733i | −0.0149337 | − | 0.0428946i | ||||
\(403\) | − | 3197.51i | − | 0.395235i | ||||||
\(404\) | −2573.96 | + | 2039.44i | −0.316978 | + | 0.251153i | ||||
\(405\) | −4888.22 | −0.599747 | ||||||||
\(406\) | −2213.44 | − | 6357.74i | −0.270570 | − | 0.777165i | ||||
\(407\) | 6731.20 | 0.819786 | ||||||||
\(408\) | 175.398 | + | 111.368i | 0.0212831 | + | 0.0135136i | ||||
\(409\) | 16339.3i | 1.97537i | 0.156446 | + | 0.987686i | \(0.449996\pi\) | ||||
−0.156446 | + | 0.987686i | \(0.550004\pi\) | |||||||
\(410\) | −1513.15 | + | 526.802i | −0.182266 | + | 0.0634559i | ||||
\(411\) | −567.794 | −0.0681440 | ||||||||
\(412\) | 1353.88 | − | 1072.73i | 0.161896 | − | 0.128276i | ||||
\(413\) | 14918.5i | 1.77747i | ||||||||
\(414\) | −4148.77 | + | 1444.39i | −0.492514 | + | 0.171468i | ||||
\(415\) | − | 3878.07i | − | 0.458716i | ||||||
\(416\) | −244.968 | − | 2339.50i | −0.0288715 | − | 0.275729i | ||||
\(417\) | 539.430i | 0.0633477i | ||||||||
\(418\) | −3121.98 | + | 5751.84i | −0.365313 | + | 0.673043i | ||||
\(419\) | − | 9779.77i | − | 1.14027i | −0.821551 | − | 0.570135i | \(-0.806891\pi\) | ||
0.821551 | − | 0.570135i | \(-0.193109\pi\) | |||||||
\(420\) | 149.063 | + | 188.131i | 0.0173179 | + | 0.0218568i | ||||
\(421\) | 3549.76i | 0.410938i | 0.978664 | + | 0.205469i | \(0.0658720\pi\) | ||||
−0.978664 | + | 0.205469i | \(0.934128\pi\) | |||||||
\(422\) | −480.600 | − | 1380.44i | −0.0554389 | − | 0.159239i | ||||
\(423\) | 5962.60i | 0.685370i | ||||||||
\(424\) | −7493.66 | + | 11802.0i | −0.858312 | + | 1.35178i | ||||
\(425\) | −2958.08 | −0.337619 | ||||||||
\(426\) | −105.576 | − | 303.251i | −0.0120075 | − | 0.0344895i | ||||
\(427\) | − | 250.841i | − | 0.0284287i | ||||||
\(428\) | 4523.69 | − | 3584.28i | 0.510889 | − | 0.404796i | ||||
\(429\) | −89.5066 | −0.0100732 | ||||||||
\(430\) | −4821.13 | + | 1678.47i | −0.540687 | + | 0.188240i | ||||
\(431\) | 4190.52 | 0.468330 | 0.234165 | − | 0.972197i | \(-0.424764\pi\) | ||||
0.234165 | + | 0.972197i | \(0.424764\pi\) | |||||||
\(432\) | −194.605 | + | 828.539i | −0.0216735 | + | 0.0922757i | ||||
\(433\) | 947.222i | 0.105128i | 0.998618 | + | 0.0525642i | \(0.0167394\pi\) | ||||
−0.998618 | + | 0.0525642i | \(0.983261\pi\) | |||||||
\(434\) | −11848.6 | + | 4125.08i | −1.31048 | + | 0.456244i | ||||
\(435\) | 219.754i | 0.0242216i | ||||||||
\(436\) | −2214.99 | − | 2795.52i | −0.243300 | − | 0.307067i | ||||
\(437\) | −3214.31 | − | 3530.96i | −0.351857 | − | 0.386519i | ||||
\(438\) | 13.0281 | + | 37.4209i | 0.00142125 | + | 0.00408229i | ||||
\(439\) | 12602.5 | 1.37013 | 0.685064 | − | 0.728483i | \(-0.259774\pi\) | ||||
0.685064 | + | 0.728483i | \(0.259774\pi\) | |||||||
\(440\) | 2287.62 | − | 3602.85i | 0.247859 | − | 0.390362i | ||||
\(441\) | −485.888 | −0.0524660 | ||||||||
\(442\) | 1292.77 | − | 450.076i | 0.139119 | − | 0.0484343i | ||||
\(443\) | 12836.0i | 1.37665i | 0.725403 | + | 0.688324i | \(0.241653\pi\) | ||||
−0.725403 | + | 0.688324i | \(0.758347\pi\) | |||||||
\(444\) | 295.107 | + | 372.452i | 0.0315432 | + | 0.0398103i | ||||
\(445\) | − | 5478.85i | − | 0.583646i | ||||||
\(446\) | 4106.13 | + | 11794.2i | 0.435943 | + | 1.25217i | ||||
\(447\) | −285.540 | −0.0302138 | ||||||||
\(448\) | −8353.12 | + | 3925.90i | −0.880910 | + | 0.414021i | ||||
\(449\) | − | 1709.97i | − | 0.179730i | −0.995954 | − | 0.0898648i | \(-0.971356\pi\) | ||
0.995954 | − | 0.0898648i | \(-0.0286435\pi\) | |||||||
\(450\) | −1989.80 | − | 5715.36i | −0.208444 | − | 0.598721i | ||||
\(451\) | −2344.32 | −0.244767 | ||||||||
\(452\) | −95.4367 | − | 120.450i | −0.00993133 | − | 0.0125342i | ||||
\(453\) | −52.5921 | −0.00545473 | ||||||||
\(454\) | −667.352 | − | 1916.86i | −0.0689876 | − | 0.198155i | ||||
\(455\) | 1581.42 | 0.162941 | ||||||||
\(456\) | −455.135 | + | 79.4246i | −0.0467405 | + | 0.00815657i | ||||
\(457\) | 10689.7 | 1.09418 | 0.547091 | − | 0.837073i | \(-0.315735\pi\) | ||||
0.547091 | + | 0.837073i | \(0.315735\pi\) | |||||||
\(458\) | 4632.62 | + | 13306.4i | 0.472637 | + | 1.35757i | ||||
\(459\) | −495.276 | −0.0503649 | ||||||||
\(460\) | 1933.73 | + | 2440.54i | 0.196001 | + | 0.247371i | ||||
\(461\) | −11078.7 | −1.11927 | −0.559637 | − | 0.828738i | \(-0.689060\pi\) | ||||
−0.559637 | + | 0.828738i | \(0.689060\pi\) | |||||||
\(462\) | 115.471 | + | 331.672i | 0.0116282 | + | 0.0334000i | ||||
\(463\) | − | 7553.41i | − | 0.758179i | −0.925360 | − | 0.379089i | \(-0.876237\pi\) | ||
0.925360 | − | 0.379089i | \(-0.123763\pi\) | |||||||
\(464\) | −8226.26 | − | 1932.16i | −0.823049 | − | 0.193315i | ||||
\(465\) | 409.544 | 0.0408433 | ||||||||
\(466\) | −4511.15 | − | 12957.5i | −0.448444 | − | 1.28808i | ||||
\(467\) | − | 8523.35i | − | 0.844568i | −0.906463 | − | 0.422284i | \(-0.861228\pi\) | ||
0.906463 | − | 0.422284i | \(-0.138772\pi\) | |||||||
\(468\) | 1739.20 | + | 2195.03i | 0.171783 | + | 0.216806i | ||||
\(469\) | 9463.85i | 0.931769i | ||||||||
\(470\) | 3991.32 | − | 1389.58i | 0.391714 | − | 0.136375i | ||||
\(471\) | 185.818 | 0.0181784 | ||||||||
\(472\) | 15808.5 | + | 10037.6i | 1.54162 | + | 0.978849i | ||||
\(473\) | −7469.36 | −0.726092 | ||||||||
\(474\) | 174.413 | + | 500.971i | 0.0169009 | + | 0.0485451i | ||||
\(475\) | 4864.27 | − | 4428.05i | 0.469869 | − | 0.427732i | ||||
\(476\) | −3335.57 | − | 4209.79i | −0.321188 | − | 0.405369i | ||||
\(477\) | − | 16644.1i | − | 1.59765i | ||||||
\(478\) | −6079.18 | + | 2116.46i | −0.581705 | + | 0.202520i | ||||
\(479\) | 7333.27i | 0.699511i | 0.936841 | + | 0.349755i | \(0.113735\pi\) | ||||
−0.936841 | + | 0.349755i | \(0.886265\pi\) | |||||||
\(480\) | 299.647 | − | 31.3760i | 0.0284936 | − | 0.00298357i | ||||
\(481\) | 3130.81 | 0.296783 | ||||||||
\(482\) | −9458.16 | + | 3292.85i | −0.893791 | + | 0.311173i | ||||
\(483\) | −256.235 | −0.0241389 | ||||||||
\(484\) | −3451.49 | + | 2734.74i | −0.324144 | + | 0.256831i | ||||
\(485\) | 10212.0i | 0.956086i | ||||||||
\(486\) | −499.920 | − | 1435.94i | −0.0466601 | − | 0.134023i | ||||
\(487\) | 13062.6 | 1.21545 | 0.607726 | − | 0.794147i | \(-0.292082\pi\) | ||||
0.607726 | + | 0.794147i | \(0.292082\pi\) | |||||||
\(488\) | −265.805 | − | 168.772i | −0.0246566 | − | 0.0156557i | ||||
\(489\) | 755.178i | 0.0698371i | ||||||||
\(490\) | 113.235 | + | 325.249i | 0.0104397 | + | 0.0299863i | ||||
\(491\) | 4975.70i | 0.457333i | 0.973505 | + | 0.228666i | \(0.0734365\pi\) | ||||
−0.973505 | + | 0.228666i | \(0.926563\pi\) | |||||||
\(492\) | −102.779 | − | 129.716i | −0.00941796 | − | 0.0118863i | ||||
\(493\) | − | 4917.41i | − | 0.449228i | ||||||
\(494\) | −1452.09 | + | 2675.29i | −0.132253 | + | 0.243658i | ||||
\(495\) | 5081.01i | 0.461362i | ||||||||
\(496\) | −3600.87 | + | 15330.9i | −0.325975 | + | 1.38785i | ||||
\(497\) | 8300.95i | 0.749192i | ||||||||
\(498\) | 378.306 | − | 131.707i | 0.0340407 | − | 0.0118513i | ||||
\(499\) | − | 21943.7i | − | 1.96861i | −0.176482 | − | 0.984304i | \(-0.556472\pi\) | ||
0.176482 | − | 0.984304i | \(-0.443528\pi\) | |||||||
\(500\) | −8653.41 | + | 6856.41i | −0.773985 | + | 0.613256i | ||||
\(501\) | −539.088 | −0.0480732 | ||||||||
\(502\) | −3143.70 | + | 1094.48i | −0.279502 | + | 0.0973086i | ||||
\(503\) | 13089.0i | 1.16026i | 0.814526 | + | 0.580128i | \(0.196997\pi\) | ||||
−0.814526 | + | 0.580128i | \(0.803003\pi\) | |||||||
\(504\) | 5890.09 | − | 9276.50i | 0.520566 | − | 0.819857i | ||||
\(505\) | −2771.25 | −0.244196 | ||||||||
\(506\) | 1497.96 | + | 4302.64i | 0.131606 | + | 0.378015i | ||||
\(507\) | 500.019 | 0.0438001 | ||||||||
\(508\) | 15236.1 | − | 12072.1i | 1.33070 | − | 1.05436i | ||||
\(509\) | 10972.3i | 0.955481i | 0.878501 | + | 0.477740i | \(0.158544\pi\) | ||||
−0.878501 | + | 0.477740i | \(0.841456\pi\) | |||||||
\(510\) | 57.6466 | + | 165.580i | 0.00500517 | + | 0.0143765i | ||||
\(511\) | − | 1024.33i | − | 0.0886767i | ||||||
\(512\) | −1460.08 | + | 11492.9i | −0.126030 | + | 0.992026i | ||||
\(513\) | 814.431 | − | 741.395i | 0.0700936 | − | 0.0638078i | ||||
\(514\) | 10308.2 | − | 3588.81i | 0.884586 | − | 0.307968i | ||||
\(515\) | 1457.66 | 0.124722 | ||||||||
\(516\) | −327.470 | − | 413.296i | −0.0279381 | − | 0.0352604i | ||||
\(517\) | 6183.75 | 0.526036 | ||||||||
\(518\) | −4039.02 | − | 11601.4i | −0.342595 | − | 0.984047i | ||||
\(519\) | − | 644.247i | − | 0.0544880i | ||||||
\(520\) | 1064.02 | − | 1675.76i | 0.0897312 | − | 0.141321i | ||||
\(521\) | − | 4576.17i | − | 0.384809i | −0.981316 | − | 0.192405i | \(-0.938371\pi\) | ||
0.981316 | − | 0.192405i | \(-0.0616286\pi\) | |||||||
\(522\) | 9501.02 | − | 3307.77i | 0.796644 | − | 0.277351i | ||||
\(523\) | 3916.28 | 0.327432 | 0.163716 | − | 0.986507i | \(-0.447652\pi\) | ||||
0.163716 | + | 0.986507i | \(0.447652\pi\) | |||||||
\(524\) | −8000.12 | − | 10096.9i | −0.666959 | − | 0.841763i | ||||
\(525\) | − | 352.991i | − | 0.0293443i | ||||||
\(526\) | −8009.18 | + | 2788.39i | −0.663911 | + | 0.231140i | ||||
\(527\) | −9164.33 | −0.757504 | ||||||||
\(528\) | 429.150 | + | 100.798i | 0.0353719 | + | 0.00830805i | ||||
\(529\) | 8842.98 | 0.726800 | ||||||||
\(530\) | −11141.4 | + | 3878.87i | −0.913117 | + | 0.317901i | ||||
\(531\) | −22294.3 | −1.82202 | ||||||||
\(532\) | 11786.8 | + | 1929.45i | 0.960568 | + | 0.157241i | ||||
\(533\) | −1090.39 | −0.0886116 | ||||||||
\(534\) | 534.462 | − | 186.073i | 0.0433117 | − | 0.0150789i | ||||
\(535\) | 4870.42 | 0.393582 | ||||||||
\(536\) | 10028.4 | + | 6367.51i | 0.808137 | + | 0.513124i | ||||
\(537\) | 695.478 | 0.0558884 | ||||||||
\(538\) | 18684.3 | − | 6504.93i | 1.49728 | − | 0.521278i | ||||
\(539\) | 503.909i | 0.0402688i | ||||||||
\(540\) | −562.921 | + | 446.023i | −0.0448597 | + | 0.0355440i | ||||
\(541\) | 8269.02 | 0.657140 | 0.328570 | − | 0.944480i | \(-0.393433\pi\) | ||||
0.328570 | + | 0.944480i | \(0.393433\pi\) | |||||||
\(542\) | 19917.5 | − | 6934.26i | 1.57847 | − | 0.549543i | ||||
\(543\) | 856.973i | 0.0677279i | ||||||||
\(544\) | −6705.18 | + | 702.099i | −0.528460 | + | 0.0553350i | ||||
\(545\) | − | 3009.79i | − | 0.236560i | ||||||
\(546\) | 53.7080 | + | 154.267i | 0.00420969 | + | 0.0120916i | ||||
\(547\) | −23472.3 | −1.83474 | −0.917371 | − | 0.398034i | \(-0.869693\pi\) | ||||
−0.917371 | + | 0.398034i | \(0.869693\pi\) | |||||||
\(548\) | 14440.8 | − | 11442.0i | 1.12569 | − | 0.891928i | ||||
\(549\) | 374.858 | 0.0291412 | ||||||||
\(550\) | −5927.34 | + | 2063.60i | −0.459532 | + | 0.159986i | ||||
\(551\) | 7361.04 | + | 8086.19i | 0.569130 | + | 0.625197i | ||||
\(552\) | −172.401 | + | 271.521i | −0.0132933 | + | 0.0209360i | ||||
\(553\) | − | 13713.2i | − | 1.05451i | ||||||
\(554\) | −4387.04 | − | 12601.0i | −0.336439 | − | 0.966365i | ||||
\(555\) | 401.000i | 0.0306694i | ||||||||
\(556\) | −10870.4 | − | 13719.4i | −0.829150 | − | 1.04646i | ||||
\(557\) | −1240.44 | −0.0943609 | −0.0471804 | − | 0.998886i | \(-0.515024\pi\) | ||||
−0.0471804 | + | 0.998886i | \(0.515024\pi\) | |||||||
\(558\) | −6164.53 | − | 17706.6i | −0.467680 | − | 1.34333i | ||||
\(559\) | −3474.15 | −0.262864 | ||||||||
\(560\) | −7582.29 | − | 1780.91i | −0.572161 | − | 0.134388i | ||||
\(561\) | 256.533i | 0.0193063i | ||||||||
\(562\) | 12340.0 | − | 4296.15i | 0.926209 | − | 0.322459i | ||||
\(563\) | −15015.3 | −1.12402 | −0.562008 | − | 0.827132i | \(-0.689971\pi\) | ||||
−0.562008 | + | 0.827132i | \(0.689971\pi\) | |||||||
\(564\) | 271.106 | + | 342.160i | 0.0202405 | + | 0.0255453i | ||||
\(565\) | − | 129.682i | − | 0.00965622i | ||||||
\(566\) | 14280.4 | − | 4971.70i | 1.06051 | − | 0.369216i | ||||
\(567\) | 13052.8i | 0.966784i | ||||||||
\(568\) | 8796.14 | + | 5585.09i | 0.649785 | + | 0.412580i | ||||
\(569\) | − | 15488.5i | − | 1.14114i | −0.821248 | − | 0.570572i | \(-0.806722\pi\) | ||
0.821248 | − | 0.570572i | \(-0.193278\pi\) | |||||||
\(570\) | −342.656 | − | 185.987i | −0.0251795 | − | 0.0136669i | ||||
\(571\) | − | 775.283i | − | 0.0568207i | −0.999596 | − | 0.0284103i | \(-0.990955\pi\) | ||
0.999596 | − | 0.0284103i | \(-0.00904451\pi\) | |||||||
\(572\) | 2276.44 | − | 1803.71i | 0.166403 | − | 0.131847i | ||||
\(573\) | − | 1112.26i | − | 0.0810914i | ||||||
\(574\) | 1406.70 | + | 4040.50i | 0.102290 | + | 0.293811i | ||||
\(575\) | − | 4579.19i | − | 0.332114i | ||||||
\(576\) | −5866.88 | − | 12482.9i | −0.424398 | − | 0.902989i | ||||
\(577\) | −24620.6 | −1.77638 | −0.888189 | − | 0.459477i | \(-0.848037\pi\) | ||||
−0.888189 | + | 0.459477i | \(0.848037\pi\) | |||||||
\(578\) | 3278.97 | + | 9418.29i | 0.235964 | + | 0.677767i | ||||
\(579\) | 717.009i | 0.0514644i | ||||||||
\(580\) | −4428.40 | − | 5589.04i | −0.317033 | − | 0.400124i | ||||
\(581\) | −10355.5 | −0.739444 | ||||||||
\(582\) | −996.178 | + | 346.819i | −0.0709500 | + | 0.0247012i | ||||
\(583\) | −17261.4 | −1.22623 | ||||||||
\(584\) | −1085.44 | − | 689.197i | −0.0769106 | − | 0.0488342i | ||||
\(585\) | 2363.27i | 0.167025i | ||||||||
\(586\) | −20426.3 | + | 7111.39i | −1.43993 | + | 0.501312i | ||||
\(587\) | 11764.0i | 0.827177i | 0.910464 | + | 0.413589i | \(0.135725\pi\) | ||||
−0.910464 | + | 0.413589i | \(0.864275\pi\) | |||||||
\(588\) | −27.8824 | + | 22.0922i | −0.00195553 | + | 0.00154943i | ||||
\(589\) | 15069.8 | − | 13718.4i | 1.05423 | − | 0.959688i | ||||
\(590\) | 5195.66 | + | 14923.6i | 0.362546 | + | 1.04135i | ||||
\(591\) | 947.345 | 0.0659367 | ||||||||
\(592\) | −15011.0 | − | 3525.75i | −1.04214 | − | 0.244776i | ||||
\(593\) | 16530.7 | 1.14475 | 0.572374 | − | 0.819992i | \(-0.306022\pi\) | ||||
0.572374 | + | 0.819992i | \(0.306022\pi\) | |||||||
\(594\) | −992.422 | + | 345.511i | −0.0685515 | + | 0.0238662i | ||||
\(595\) | − | 4532.47i | − | 0.312291i | ||||||
\(596\) | 7262.18 | − | 5754.09i | 0.499112 | − | 0.395464i | ||||
\(597\) | − | 352.200i | − | 0.0241450i | ||||||
\(598\) | 696.731 | + | 2001.24i | 0.0476445 | + | 0.136851i | ||||
\(599\) | 13931.4 | 0.950287 | 0.475144 | − | 0.879908i | \(-0.342396\pi\) | ||||
0.475144 | + | 0.879908i | \(0.342396\pi\) | |||||||
\(600\) | −374.048 | − | 237.501i | −0.0254507 | − | 0.0161599i | ||||
\(601\) | 9827.90i | 0.667035i | 0.942744 | + | 0.333518i | \(0.108236\pi\) | ||||
−0.942744 | + | 0.333518i | \(0.891764\pi\) | |||||||
\(602\) | 4481.96 | + | 12873.7i | 0.303440 | + | 0.871580i | ||||
\(603\) | −14142.8 | −0.955123 | ||||||||
\(604\) | 1337.59 | − | 1059.82i | 0.0901086 | − | 0.0713963i | ||||
\(605\) | −3716.04 | −0.249716 | ||||||||
\(606\) | −94.1171 | − | 270.335i | −0.00630898 | − | 0.0181215i | ||||
\(607\) | 17738.3 | 1.18612 | 0.593062 | − | 0.805157i | \(-0.297919\pi\) | ||||
0.593062 | + | 0.805157i | \(0.297919\pi\) | |||||||
\(608\) | 9975.00 | − | 11191.7i | 0.665361 | − | 0.746521i | ||||
\(609\) | 586.799 | 0.0390448 | ||||||||
\(610\) | −87.3601 | − | 250.927i | −0.00579853 | − | 0.0166553i | ||||
\(611\) | 2876.18 | 0.190438 | ||||||||
\(612\) | 6291.13 | − | 4984.69i | 0.415529 | − | 0.329239i | ||||
\(613\) | −20232.0 | −1.33305 | −0.666527 | − | 0.745481i | \(-0.732220\pi\) | ||||
−0.666527 | + | 0.745481i | \(0.732220\pi\) | |||||||
\(614\) | 6281.57 | + | 18042.7i | 0.412872 | + | 1.18590i | ||||
\(615\) | − | 139.659i | − | 0.00915707i | ||||||
\(616\) | −9620.55 | − | 6108.54i | −0.629258 | − | 0.399546i | ||||
\(617\) | −14241.5 | −0.929237 | −0.464619 | − | 0.885511i | \(-0.653809\pi\) | ||||
−0.464619 | + | 0.885511i | \(0.653809\pi\) | |||||||
\(618\) | 49.5049 | + | 142.194i | 0.00322230 | + | 0.00925550i | ||||
\(619\) | − | 5159.71i | − | 0.335034i | −0.985869 | − | 0.167517i | \(-0.946425\pi\) | ||
0.985869 | − | 0.167517i | \(-0.0535750\pi\) | |||||||
\(620\) | −10416.0 | + | 8252.97i | −0.674704 | + | 0.534593i | ||||
\(621\) | − | 766.701i | − | 0.0495437i | ||||||
\(622\) | 23184.6 | − | 8071.70i | 1.49456 | − | 0.520331i | ||||
\(623\) | −14630.0 | −0.940830 | ||||||||
\(624\) | 199.606 | + | 46.8829i | 0.0128055 | + | 0.00300772i | ||||
\(625\) | 611.428 | 0.0391314 | ||||||||
\(626\) | 7158.02 | + | 20560.2i | 0.457016 | + | 1.31270i | ||||
\(627\) | −384.013 | − | 421.843i | −0.0244593 | − | 0.0268689i | ||||
\(628\) | −4725.94 | + | 3744.54i | −0.300296 | + | 0.237935i | ||||
\(629\) | − | 8973.15i | − | 0.568812i | ||||||
\(630\) | 8757.26 | − | 3048.83i | 0.553805 | − | 0.192807i | ||||
\(631\) | 10372.3i | 0.654379i | 0.944959 | + | 0.327189i | \(0.106102\pi\) | ||||
−0.944959 | + | 0.327189i | \(0.893898\pi\) | |||||||
\(632\) | −14531.3 | − | 9226.59i | −0.914593 | − | 0.580719i | ||||
\(633\) | 127.410 | 0.00800017 | ||||||||
\(634\) | −20576.5 | + | 7163.70i | −1.28896 | + | 0.448749i | ||||
\(635\) | 16403.9 | 1.02515 | ||||||||
\(636\) | −756.768 | − | 955.110i | −0.0471821 | − | 0.0595481i | ||||
\(637\) | 234.378i | 0.0145783i | ||||||||
\(638\) | −3430.45 | − | 9853.40i | −0.212873 | − | 0.611442i | ||||
\(639\) | −12405.0 | −0.767970 | ||||||||
\(640\) | −6988.70 | + | 6836.37i | −0.431645 | + | 0.422236i | ||||
\(641\) | 11020.9i | 0.679095i | 0.940589 | + | 0.339548i | \(0.110274\pi\) | ||||
−0.940589 | + | 0.339548i | \(0.889726\pi\) | |||||||
\(642\) | 165.409 | + | 475.109i | 0.0101685 | + | 0.0292073i | ||||
\(643\) | 7290.19i | 0.447118i | 0.974690 | + | 0.223559i | \(0.0717676\pi\) | ||||
−0.974690 | + | 0.223559i | \(0.928232\pi\) | |||||||
\(644\) | 6516.87 | − | 5163.56i | 0.398759 | − | 0.315951i | ||||
\(645\) | − | 444.975i | − | 0.0271641i | ||||||
\(646\) | 7667.60 | + | 4161.81i | 0.466993 | + | 0.253474i | ||||
\(647\) | 28226.3i | 1.71513i | 0.514374 | + | 0.857566i | \(0.328024\pi\) | ||||
−0.514374 | + | 0.857566i | \(0.671976\pi\) | |||||||
\(648\) | 13831.5 | + | 8782.26i | 0.838505 | + | 0.532407i | ||||
\(649\) | 23121.2i | 1.39844i | ||||||||
\(650\) | −2756.92 | + | 959.819i | −0.166362 | + | 0.0579188i | ||||
\(651\) | − | 1093.59i | − | 0.0658388i | ||||||
\(652\) | −15218.1 | − | 19206.6i | −0.914089 | − | 1.15366i | ||||
\(653\) | 10817.7 | 0.648282 | 0.324141 | − | 0.946009i | \(-0.394925\pi\) | ||||
0.324141 | + | 0.946009i | \(0.394925\pi\) | |||||||
\(654\) | 293.605 | − | 102.218i | 0.0175549 | − | 0.00611171i | ||||
\(655\) | − | 10870.8i | − | 0.648483i | ||||||
\(656\) | 5228.00 | + | 1227.94i | 0.311157 | + | 0.0730837i | ||||
\(657\) | 1530.77 | 0.0908993 | ||||||||
\(658\) | −3710.53 | − | 10657.9i | −0.219835 | − | 0.631439i | ||||
\(659\) | −1116.92 | −0.0660228 | −0.0330114 | − | 0.999455i | \(-0.510510\pi\) | ||||
−0.0330114 | + | 0.999455i | \(0.510510\pi\) | |||||||
\(660\) | 231.022 | + | 291.571i | 0.0136250 | + | 0.0171960i | ||||
\(661\) | 4627.22i | 0.272282i | 0.990689 | + | 0.136141i | \(0.0434700\pi\) | ||||
−0.990689 | + | 0.136141i | \(0.956530\pi\) | |||||||
\(662\) | 2157.57 | + | 6197.25i | 0.126671 | + | 0.363842i | ||||
\(663\) | 119.319i | 0.00698936i | ||||||||
\(664\) | −6967.42 | + | 10973.2i | −0.407211 | + | 0.641330i | ||||
\(665\) | 6784.80 | + | 7453.19i | 0.395644 | + | 0.434620i | ||||
\(666\) | 17337.2 | − | 6035.92i | 1.00871 | − | 0.351182i | ||||
\(667\) | 7612.29 | 0.441903 | ||||||||
\(668\) | 13710.7 | − | 10863.5i | 0.794137 | − | 0.629224i | ||||
\(669\) | −1088.56 | −0.0629093 | ||||||||
\(670\) | 3295.96 | + | 9467.08i | 0.190051 | + | 0.545888i | ||||
\(671\) | − | 388.761i | − | 0.0223665i | ||||||
\(672\) | −83.7821 | − | 800.135i | −0.00480947 | − | 0.0459314i | ||||
\(673\) | − | 14665.8i | − | 0.840005i | −0.907523 | − | 0.420003i | \(-0.862029\pi\) | ||
0.907523 | − | 0.420003i | \(-0.137971\pi\) | |||||||
\(674\) | 23641.6 | − | 8230.81i | 1.35110 | − | 0.470384i | ||||
\(675\) | 1056.21 | 0.0602275 | ||||||||
\(676\) | −12717.1 | + | 10076.2i | −0.723548 | + | 0.573293i | ||||
\(677\) | 14128.4i | 0.802068i | 0.916063 | + | 0.401034i | \(0.131349\pi\) | ||||
−0.916063 | + | 0.401034i | \(0.868651\pi\) | |||||||
\(678\) | 12.6505 | − | 4.40425i | 0.000716576 | − | 0.000249475i | ||||
\(679\) | 27268.6 | 1.54120 | ||||||||
\(680\) | −4802.85 | − | 3049.56i | −0.270854 | − | 0.171978i | ||||
\(681\) | 176.920 | 0.00995533 | ||||||||
\(682\) | −18363.3 | + | 6393.16i | −1.03104 | + | 0.358954i | ||||
\(683\) | 733.205 | 0.0410766 | 0.0205383 | − | 0.999789i | \(-0.493462\pi\) | ||||
0.0205383 | + | 0.999789i | \(0.493462\pi\) | |||||||
\(684\) | −2883.38 | + | 17614.2i | −0.161183 | + | 0.984644i | ||||
\(685\) | 15547.7 | 0.867220 | ||||||||
\(686\) | 17384.8 | − | 6052.52i | 0.967574 | − | 0.336860i | ||||
\(687\) | −1228.14 | −0.0682044 | ||||||||
\(688\) | 16657.2 | + | 3912.40i | 0.923038 | + | 0.216800i | ||||
\(689\) | −8028.60 | −0.443926 | ||||||||
\(690\) | −256.323 | + | 89.2385i | −0.0141421 | + | 0.00492356i | ||||
\(691\) | − | 23761.7i | − | 1.30816i | −0.756425 | − | 0.654081i | \(-0.773056\pi\) | ||
0.756425 | − | 0.654081i | \(-0.226944\pi\) | |||||||
\(692\) | 12982.6 | + | 16385.2i | 0.713187 | + | 0.900107i | ||||
\(693\) | 13567.6 | 0.743710 | ||||||||
\(694\) | −8538.83 | + | 2972.79i | −0.467046 | + | 0.162602i | ||||
\(695\) | − | 14771.0i | − | 0.806181i | ||||||
\(696\) | 394.813 | − | 621.805i | 0.0215020 | − | 0.0338641i | ||||
\(697\) | 3125.14i | 0.169832i | ||||||||
\(698\) | −2472.47 | − | 7101.76i | −0.134075 | − | 0.385108i | ||||
\(699\) | 1195.94 | 0.0647132 | ||||||||
\(700\) | 7113.34 | + | 8977.68i | 0.384084 | + | 0.484749i | ||||
\(701\) | −11502.4 | −0.619744 | −0.309872 | − | 0.950778i | \(-0.600286\pi\) | ||||
−0.309872 | + | 0.950778i | \(0.600286\pi\) | |||||||
\(702\) | −461.595 | + | 160.704i | −0.0248173 | + | 0.00864014i | ||||
\(703\) | 13432.2 | + | 14755.4i | 0.720633 | + | 0.791624i | ||||
\(704\) | −12945.9 | + | 6084.48i | −0.693064 | + | 0.325735i | ||||
\(705\) | 368.386i | 0.0196798i | ||||||||
\(706\) | 2458.09 | + | 7060.46i | 0.131036 | + | 0.376379i | ||||
\(707\) | 7399.96i | 0.393641i | ||||||||
\(708\) | −1279.35 | + | 1013.67i | −0.0679107 | + | 0.0538081i | ||||
\(709\) | −1059.93 | −0.0561446 | −0.0280723 | − | 0.999606i | \(-0.508937\pi\) | ||||
−0.0280723 | + | 0.999606i | \(0.508937\pi\) | |||||||
\(710\) | 2890.96 | + | 8303.79i | 0.152811 | + | 0.438924i | ||||
\(711\) | 20493.1 | 1.08094 | ||||||||
\(712\) | −9843.40 | + | 15502.7i | −0.518114 | + | 0.815995i | ||||
\(713\) | − | 14186.6i | − | 0.745152i | ||||||
\(714\) | 442.142 | − | 153.931i | 0.0231747 | − | 0.00806826i | ||||
\(715\) | 2450.92 | 0.128195 | ||||||||
\(716\) | −17688.2 | + | 14015.0i | −0.923240 | + | 0.731517i | ||||
\(717\) | − | 561.089i | − | 0.0292249i | ||||||
\(718\) | −17725.8 | + | 6171.22i | −0.921338 | + | 0.320763i | ||||
\(719\) | − | 29499.6i | − | 1.53011i | −0.643964 | − | 0.765056i | \(-0.722711\pi\) | ||
0.643964 | − | 0.765056i | \(-0.277289\pi\) | |||||||
\(720\) | 2661.39 | − | 11331.0i | 0.137756 | − | 0.586502i | ||||
\(721\) | − | 3892.32i | − | 0.201051i | ||||||
\(722\) | −18838.6 | + | 4634.20i | −0.971051 | + | 0.238874i | ||||
\(723\) | − | 872.959i | − | 0.0449041i | ||||||
\(724\) | −17269.4 | − | 21795.6i | −0.886482 | − | 1.11882i | ||||
\(725\) | 10486.7i | 0.537196i | ||||||||
\(726\) | −126.204 | − | 362.499i | −0.00645161 | − | 0.0185311i | ||||
\(727\) | 1252.42i | 0.0638921i | 0.999490 | + | 0.0319460i | \(0.0101705\pi\) | ||||
−0.999490 | + | 0.0319460i | \(0.989830\pi\) | |||||||
\(728\) | −4474.70 | − | 2841.20i | −0.227807 | − | 0.144646i | ||||
\(729\) | −19417.6 | −0.986518 | ||||||||
\(730\) | −356.743 | − | 1024.68i | −0.0180872 | − | 0.0519523i | ||||
\(731\) | 9957.18i | 0.503802i | ||||||||
\(732\) | 21.5110 | − | 17.0439i | 0.00108616 | − | 0.000860604i | ||||
\(733\) | −16775.4 | −0.845311 | −0.422656 | − | 0.906290i | \(-0.638902\pi\) | ||||
−0.422656 | + | 0.906290i | \(0.638902\pi\) | |||||||
\(734\) | −15033.9 | + | 5234.04i | −0.756010 | + | 0.263205i | ||||
\(735\) | −30.0195 | −0.00150651 | ||||||||
\(736\) | −1086.87 | − | 10379.8i | −0.0544327 | − | 0.519843i | ||||
\(737\) | 14667.3i | 0.733078i | ||||||||
\(738\) | −6038.14 | + | 2102.17i | −0.301175 | + | 0.104854i | ||||
\(739\) | − | 34345.2i | − | 1.70962i | −0.518943 | − | 0.854809i | \(-0.673674\pi\) | ||
0.518943 | − | 0.854809i | \(-0.326326\pi\) | |||||||
\(740\) | −8080.80 | − | 10198.7i | −0.401427 | − | 0.506638i | ||||
\(741\) | −178.612 | − | 196.207i | −0.00885488 | − | 0.00972720i | ||||
\(742\) | 10357.6 | + | 29750.5i | 0.512452 | + | 1.47193i | ||||
\(743\) | −792.738 | −0.0391423 | −0.0195712 | − | 0.999808i | \(-0.506230\pi\) | ||||
−0.0195712 | + | 0.999808i | \(0.506230\pi\) | |||||||
\(744\) | −1158.83 | − | 735.793i | −0.0571029 | − | 0.0362574i | ||||
\(745\) | 7818.82 | 0.384509 | ||||||||
\(746\) | −7496.12 | + | 2609.77i | −0.367899 | + | 0.128084i | ||||
\(747\) | − | 15475.2i | − | 0.757977i | ||||||
\(748\) | −5169.56 | − | 6524.46i | −0.252698 | − | 0.318927i | ||||
\(749\) | − | 13005.3i | − | 0.634450i | ||||||
\(750\) | −316.413 | − | 908.842i | −0.0154050 | − | 0.0442483i | ||||
\(751\) | −13768.5 | −0.668999 | −0.334499 | − | 0.942396i | \(-0.608567\pi\) | ||||
−0.334499 | + | 0.942396i | \(0.608567\pi\) | |||||||
\(752\) | −13790.2 | − | 3239.00i | −0.668718 | − | 0.157067i | ||||
\(753\) | − | 290.154i | − | 0.0140422i | ||||||
\(754\) | −1595.57 | − | 4583.01i | −0.0770653 | − | 0.221357i | ||||
\(755\) | 1440.11 | 0.0694185 | ||||||||
\(756\) | 1191.00 | + | 1503.15i | 0.0572965 | + | 0.0723133i | ||||
\(757\) | 8227.22 | 0.395011 | 0.197505 | − | 0.980302i | \(-0.436716\pi\) | ||||
0.197505 | + | 0.980302i | \(0.436716\pi\) | |||||||
\(758\) | −10370.2 | − | 29786.6i | −0.496915 | − | 1.42730i | ||||
\(759\) | −397.120 | −0.0189915 | ||||||||
\(760\) | 12462.8 | − | 2174.85i | 0.594833 | − | 0.103803i | ||||
\(761\) | 22146.6 | 1.05495 | 0.527473 | − | 0.849572i | \(-0.323140\pi\) | ||||
0.527473 | + | 0.849572i | \(0.323140\pi\) | |||||||
\(762\) | 557.110 | + | 1600.20i | 0.0264855 | + | 0.0760751i | ||||
\(763\) | −8036.93 | −0.381332 | ||||||||
\(764\) | 22413.9 | + | 28288.4i | 1.06140 | + | 1.33958i | ||||
\(765\) | 6773.33 | 0.320118 | ||||||||
\(766\) | 2478.93 | + | 7120.30i | 0.116929 | + | 0.335858i | ||||
\(767\) | 10754.1i | 0.506269i | ||||||||
\(768\) | −904.238 | − | 449.571i | −0.0424855 | − | 0.0211230i | ||||
\(769\) | 24420.5 | 1.14516 | 0.572578 | − | 0.819850i | \(-0.305943\pi\) | ||||
0.572578 | + | 0.819850i | \(0.305943\pi\) | |||||||
\(770\) | −3161.91 | − | 9082.05i | −0.147984 | − | 0.425058i | ||||
\(771\) | 951.419i | 0.0444417i | ||||||||
\(772\) | −14448.9 | − | 18235.8i | −0.673611 | − | 0.850158i | ||||
\(773\) | − | 19056.5i | − | 0.886693i | −0.896350 | − | 0.443347i | \(-0.853791\pi\) | ||
0.896350 | − | 0.443347i | \(-0.146209\pi\) | |||||||
\(774\) | −19238.4 | + | 6697.85i | −0.893425 | + | 0.311045i | ||||
\(775\) | 19543.6 | 0.905840 | ||||||||
\(776\) | 18347.0 | − | 28895.3i | 0.848737 | − | 1.33670i | ||||
\(777\) | 1070.77 | 0.0494386 | ||||||||
\(778\) | −8673.37 | − | 24912.8i | −0.399685 | − | 1.14803i | ||||
\(779\) | −4678.13 | − | 5138.98i | −0.215162 | − | 0.236358i | ||||
\(780\) | 107.453 | + | 135.615i | 0.00493260 | + | 0.00622538i | ||||
\(781\) | 12865.1i | 0.589434i | ||||||||
\(782\) | 5735.71 | − | 1996.89i | 0.262287 | − | 0.0913152i | ||||
\(783\) | 1755.81i | 0.0801372i | ||||||||
\(784\) | 263.943 | − | 1123.75i | 0.0120237 | − | 0.0511913i | ||||
\(785\) | −5088.18 | −0.231344 | ||||||||
\(786\) | 1060.44 | − | 369.193i | 0.0481232 | − | 0.0167540i | ||||
\(787\) | −20928.6 | −0.947932 | −0.473966 | − | 0.880543i | \(-0.657178\pi\) | ||||
−0.473966 | + | 0.880543i | \(0.657178\pi\) | |||||||
\(788\) | −24094.0 | + | 19090.6i | −1.08923 | + | 0.863037i | ||||
\(789\) | − | 739.223i | − | 0.0333549i | ||||||
\(790\) | −4775.88 | − | 13717.9i | −0.215086 | − | 0.617799i | ||||
\(791\) | −346.285 | −0.0155657 | ||||||||
\(792\) | 9128.63 | − | 14377.0i | 0.409560 | − | 0.645030i | ||||
\(793\) | − | 180.820i | − | 0.00809724i | ||||||
\(794\) | −3048.86 | − | 8757.34i | −0.136272 | − | 0.391419i | ||||
\(795\) | − | 1028.32i | − | 0.0458751i | ||||||
\(796\) | 7097.40 | + | 8957.56i | 0.316031 | + | 0.398860i | ||||
\(797\) | 10768.1i | 0.478578i | 0.970948 | + | 0.239289i | \(0.0769143\pi\) | ||||
−0.970948 | + | 0.239289i | \(0.923086\pi\) | |||||||
\(798\) | −496.633 | + | 914.982i | −0.0220308 | + | 0.0405890i | ||||
\(799\) | − | 8243.36i | − | 0.364993i | ||||||
\(800\) | 14299.3 | − | 1497.27i | 0.631944 | − | 0.0661708i | ||||
\(801\) | − | 21863.1i | − | 0.964411i | ||||||
\(802\) | −35995.7 | + | 12531.9i | −1.58485 | + | 0.551766i | ||||
\(803\) | − | 1587.54i | − | 0.0697672i | ||||||
\(804\) | −811.576 | + | 643.041i | −0.0355996 | + | 0.0282069i | ||||
\(805\) | 7016.38 | 0.307199 | ||||||||
\(806\) | −8541.11 | + | 2973.58i | −0.373260 | + | 0.129950i | ||||
\(807\) | 1724.50i | 0.0752236i | ||||||||
\(808\) | 7841.40 | + | 4978.88i | 0.341410 | + | 0.216778i | ||||
\(809\) | −3047.27 | −0.132431 | −0.0662153 | − | 0.997805i | \(-0.521092\pi\) | ||||
−0.0662153 | + | 0.997805i | \(0.521092\pi\) | |||||||
\(810\) | 4545.88 | + | 13057.3i | 0.197193 | + | 0.566402i | ||||
\(811\) | −7771.01 | −0.336470 | −0.168235 | − | 0.985747i | \(-0.553807\pi\) | ||||
−0.168235 | + | 0.985747i | \(0.553807\pi\) | |||||||
\(812\) | −14924.2 | + | 11825.0i | −0.644995 | + | 0.511053i | ||||
\(813\) | 1838.32i | 0.0793023i | ||||||||
\(814\) | −6259.79 | − | 17980.2i | −0.269540 | − | 0.774208i | ||||
\(815\) | − | 20678.7i | − | 0.888766i | ||||||
\(816\) | 134.370 | − | 572.087i | 0.00576458 | − | 0.0245429i | ||||
\(817\) | −14905.2 | − | 16373.6i | −0.638272 | − | 0.701149i | ||||
\(818\) | 43645.1 | − | 15195.0i | 1.86555 | − | 0.649489i | ||||
\(819\) | 6310.56 | 0.269241 | ||||||||
\(820\) | 2814.36 | + | 3551.98i | 0.119856 | + | 0.151269i | ||||
\(821\) | 5007.21 | 0.212854 | 0.106427 | − | 0.994321i | \(-0.466059\pi\) | ||||
0.106427 | + | 0.994321i | \(0.466059\pi\) | |||||||
\(822\) | 528.029 | + | 1516.67i | 0.0224053 | + | 0.0643553i | ||||
\(823\) | − | 9911.92i | − | 0.419815i | −0.977721 | − | 0.209908i | \(-0.932684\pi\) | ||
0.977721 | − | 0.209908i | \(-0.0673163\pi\) | |||||||
\(824\) | −4124.52 | − | 2618.85i | −0.174374 | − | 0.110719i | ||||
\(825\) | − | 547.075i | − | 0.0230869i | ||||||
\(826\) | 39850.0 | − | 13873.8i | 1.67864 | − | 0.584419i | ||||
\(827\) | 9110.45 | 0.383073 | 0.191536 | − | 0.981485i | \(-0.438653\pi\) | ||||
0.191536 | + | 0.981485i | \(0.438653\pi\) | |||||||
\(828\) | 7716.43 | + | 9738.84i | 0.323870 | + | 0.408754i | ||||
\(829\) | 2360.30i | 0.0988863i | 0.998777 | + | 0.0494432i | \(0.0157447\pi\) | ||||
−0.998777 | + | 0.0494432i | \(0.984255\pi\) | |||||||
\(830\) | −10359.0 | + | 3606.48i | −0.433212 | + | 0.150823i | ||||
\(831\) | 1163.04 | 0.0485503 | ||||||||
\(832\) | −6021.39 | + | 2830.01i | −0.250906 | + | 0.117924i | ||||
\(833\) | 671.745 | 0.0279407 | ||||||||
\(834\) | 1440.91 | − | 501.652i | 0.0598257 | − | 0.0208283i | ||||
\(835\) | 14761.6 | 0.611793 | ||||||||
\(836\) | 18267.5 | + | 2990.32i | 0.755735 | + | 0.123711i | ||||
\(837\) | 3272.21 | 0.135130 | ||||||||
\(838\) | −26123.4 | + | 9094.86i | −1.07687 | + | 0.374913i | ||||
\(839\) | −21524.2 | −0.885696 | −0.442848 | − | 0.896597i | \(-0.646032\pi\) | ||||
−0.442848 | + | 0.896597i | \(0.646032\pi\) | |||||||
\(840\) | 363.906 | − | 573.128i | 0.0149476 | − | 0.0235414i | ||||
\(841\) | 6956.22 | 0.285220 | ||||||||
\(842\) | 9482.03 | − | 3301.16i | 0.388091 | − | 0.135114i | ||||
\(843\) | 1138.94i | 0.0465328i | ||||||||
\(844\) | −3240.45 | + | 2567.53i | −0.132158 | + | 0.104713i | ||||
\(845\) | −13691.8 | −0.557412 | ||||||||
\(846\) | 15927.1 | − | 5545.02i | 0.647265 | − | 0.225345i | ||||
\(847\) | 9922.79i | 0.402540i | ||||||||
\(848\) | 38494.1 | + | 9041.37i | 1.55883 | + | 0.366135i | ||||
\(849\) | 1318.03i | 0.0532801i | ||||||||
\(850\) | 2750.92 | + | 7901.55i | 0.111007 | + | 0.318848i | ||||
\(851\) | 13890.7 | 0.559537 | ||||||||
\(852\) | −711.852 | + | 564.026i | −0.0286240 | + | 0.0226798i | ||||
\(853\) | −10117.8 | −0.406126 | −0.203063 | − | 0.979166i | \(-0.565090\pi\) | ||||
−0.203063 | + | 0.979166i | \(0.565090\pi\) | |||||||
\(854\) | −670.040 | + | 233.274i | −0.0268481 | + | 0.00934716i | ||||
\(855\) | −11138.1 | + | 10139.2i | −0.445513 | + | 0.405560i | ||||
\(856\) | −13781.1 | − | 8750.28i | −0.550267 | − | 0.349391i | ||||
\(857\) | 24285.1i | 0.967984i | 0.875072 | + | 0.483992i | \(0.160814\pi\) | ||||
−0.875072 | + | 0.483992i | \(0.839186\pi\) | |||||||
\(858\) | 83.2382 | + | 239.088i | 0.00331201 | + | 0.00951319i | ||||
\(859\) | 3504.97i | 0.139218i | 0.997574 | + | 0.0696089i | \(0.0221751\pi\) | ||||
−0.997574 | + | 0.0696089i | \(0.977825\pi\) | |||||||
\(860\) | 8966.98 | + | 11317.1i | 0.355548 | + | 0.448734i | ||||
\(861\) | −372.926 | −0.0147611 | ||||||||
\(862\) | −3897.04 | − | 11193.6i | −0.153984 | − | 0.442292i | ||||
\(863\) | −24288.9 | −0.958057 | −0.479029 | − | 0.877799i | \(-0.659011\pi\) | ||||
−0.479029 | + | 0.877799i | \(0.659011\pi\) | |||||||
\(864\) | 2394.15 | − | 250.691i | 0.0942714 | − | 0.00987115i | ||||
\(865\) | 17641.2i | 0.693430i | ||||||||
\(866\) | 2530.19 | − | 880.886i | 0.0992835 | − | 0.0345655i | ||||
\(867\) | −869.279 | −0.0340511 | ||||||||
\(868\) | 22037.6 | + | 27813.4i | 0.861756 | + | 1.08761i | ||||
\(869\) | − | 21253.1i | − | 0.829647i | ||||||
\(870\) | 587.000 | − | 204.364i | 0.0228749 | − | 0.00796388i | ||||
\(871\) | 6822.06i | 0.265392i | ||||||||
\(872\) | −5407.45 | + | 8516.37i | −0.209999 | + | 0.330735i | ||||
\(873\) | 40750.3i | 1.57983i | ||||||||
\(874\) | −6442.60 | + | 11869.7i | −0.249341 | + | 0.459379i | ||||
\(875\) | 24878.0i | 0.961176i | ||||||||
\(876\) | 87.8421 | − | 69.6004i | 0.00338802 | − | 0.00268445i | ||||
\(877\) | − | 11128.3i | − | 0.428477i | −0.976781 | − | 0.214239i | \(-0.931273\pi\) | ||
0.976781 | − | 0.214239i | \(-0.0687270\pi\) | |||||||
\(878\) | −11719.9 | − | 33663.5i | −0.450488 | − | 1.29395i | ||||
\(879\) | − | 1885.28i | − | 0.0723424i | ||||||
\(880\) | −11751.2 | − | 2760.10i | −0.450153 | − | 0.105731i | ||||
\(881\) | −3121.00 | −0.119352 | −0.0596761 | − | 0.998218i | \(-0.519007\pi\) | ||||
−0.0596761 | + | 0.998218i | \(0.519007\pi\) | |||||||
\(882\) | 451.859 | + | 1297.89i | 0.0172504 | + | 0.0495490i | ||||
\(883\) | 23347.6i | 0.889820i | 0.895575 | + | 0.444910i | \(0.146764\pi\) | ||||
−0.895575 | + | 0.444910i | \(0.853236\pi\) | |||||||
\(884\) | −2404.46 | − | 3034.65i | −0.0914829 | − | 0.115460i | ||||
\(885\) | −1377.41 | −0.0523175 | ||||||||
\(886\) | 34287.1 | − | 11937.0i | 1.30011 | − | 0.452632i | ||||
\(887\) | 30824.0 | 1.16682 | 0.583410 | − | 0.812178i | \(-0.301718\pi\) | ||||
0.583410 | + | 0.812178i | \(0.301718\pi\) | |||||||
\(888\) | 720.443 | − | 1134.65i | 0.0272258 | − | 0.0428788i | ||||
\(889\) | − | 43802.8i | − | 1.65253i | ||||||
\(890\) | −14635.0 | + | 5095.15i | −0.551197 | + | 0.191899i | ||||
\(891\) | 20229.6i | 0.760626i | ||||||||
\(892\) | 27685.7 | − | 21936.3i | 1.03922 | − | 0.823412i | ||||
\(893\) | 12339.8 | + | 13555.4i | 0.462412 | + | 0.507966i | ||||
\(894\) | 265.542 | + | 762.726i | 0.00993408 | + | 0.0285340i | ||||
\(895\) | −19044.0 | −0.711252 | ||||||||
\(896\) | 18254.9 | + | 18661.6i | 0.680639 | + | 0.695806i | ||||
\(897\) | −184.708 | −0.00687540 | ||||||||
\(898\) | −4567.63 | + | 1590.22i | −0.169737 | + | 0.0590939i | ||||
\(899\) | 32488.6i | 1.20529i | ||||||||
\(900\) | −13416.3 | + | 10630.2i | −0.496899 | + | 0.393711i | ||||
\(901\) | 23010.6i | 0.850826i | ||||||||
\(902\) | 2180.14 | + | 6262.09i | 0.0804776 | + | 0.231158i | ||||
\(903\) | −1188.20 | −0.0437882 | ||||||||
\(904\) | −232.989 | + | 366.942i | −0.00857201 | + | 0.0135003i | ||||
\(905\) | − | 23466.2i | − | 0.861924i | ||||||
\(906\) | 48.9089 | + | 140.483i | 0.00179348 | + | 0.00515146i | ||||
\(907\) | 25818.0 | 0.945175 | 0.472588 | − | 0.881284i | \(-0.343320\pi\) | ||||
0.472588 | + | 0.881284i | \(0.343320\pi\) | |||||||
\(908\) | −4499.64 | + | 3565.22i | −0.164456 | + | 0.130304i | ||||
\(909\) | −11058.5 | −0.403507 | ||||||||
\(910\) | −1470.67 | − | 4224.24i | −0.0535737 | − | 0.153881i | ||||
\(911\) | −48823.6 | −1.77563 | −0.887814 | − | 0.460203i | \(-0.847777\pi\) | ||||
−0.887814 | + | 0.460203i | \(0.847777\pi\) | |||||||
\(912\) | 635.417 | + | 1141.88i | 0.0230710 | + | 0.0414600i | ||||
\(913\) | −16049.2 | −0.581764 | ||||||||
\(914\) | −9941.03 | − | 28553.9i | −0.359759 | − | 1.03335i | ||||
\(915\) | 23.1598 | 0.000836764 | ||||||||
\(916\) | 31235.5 | − | 24749.0i | 1.12669 | − | 0.892719i | ||||
\(917\) | −29027.8 | −1.04535 | ||||||||
\(918\) | 460.590 | + | 1322.97i | 0.0165596 | + | 0.0475647i | ||||
\(919\) | − | 6701.62i | − | 0.240550i | −0.992741 | − | 0.120275i | \(-0.961622\pi\) | ||
0.992741 | − | 0.120275i | \(-0.0383777\pi\) | |||||||
\(920\) | 4720.80 | − | 7434.94i | 0.169174 | − | 0.266438i | ||||
\(921\) | −1665.29 | −0.0595799 | ||||||||
\(922\) | 10302.8 | + | 29593.1i | 0.368010 | + | 1.05705i | ||||
\(923\) | 5983.78i | 0.213390i | ||||||||
\(924\) | 778.569 | − | 616.889i | 0.0277197 | − | 0.0219634i | ||||
\(925\) | 19135.9i | 0.680198i | ||||||||
\(926\) | −20176.5 | + | 7024.42i | −0.716026 | + | 0.249284i | ||||
\(927\) | 5816.70 | 0.206090 | ||||||||
\(928\) | 2489.02 | + | 23770.6i | 0.0880453 | + | 0.840850i | ||||
\(929\) | 13923.4 | 0.491726 | 0.245863 | − | 0.969305i | \(-0.420929\pi\) | ||||
0.245863 | + | 0.969305i | \(0.420929\pi\) | |||||||
\(930\) | −380.862 | − | 1093.96i | −0.0134290 | − | 0.0385725i | ||||
\(931\) | −1104.62 | + | 1005.56i | −0.0388854 | + | 0.0353983i | ||||
\(932\) | −30416.5 | + | 24100.1i | −1.06902 | + | 0.847024i | ||||
\(933\) | 2139.87i | 0.0750869i | ||||||||
\(934\) | −22767.3 | + | 7926.43i | −0.797612 | + | 0.277688i | ||||
\(935\) | − | 7024.55i | − | 0.245698i | ||||||
\(936\) | 4245.90 | − | 6687.01i | 0.148271 | − | 0.233517i | ||||
\(937\) | −18429.2 | −0.642536 | −0.321268 | − | 0.946988i | \(-0.604109\pi\) | ||||
−0.321268 | + | 0.946988i | \(0.604109\pi\) | |||||||
\(938\) | 25279.6 | − | 8801.07i | 0.879965 | − | 0.306359i | ||||
\(939\) | −1897.64 | −0.0659502 | ||||||||
\(940\) | −7423.59 | − | 9369.24i | −0.257586 | − | 0.325097i | ||||
\(941\) | − | 6879.91i | − | 0.238341i | −0.992874 | − | 0.119170i | \(-0.961977\pi\) | ||
0.992874 | − | 0.119170i | \(-0.0380235\pi\) | |||||||
\(942\) | −172.804 | − | 496.352i | −0.00597694 | − | 0.0171677i | ||||
\(943\) | −4837.80 | −0.167063 | ||||||||
\(944\) | 12110.7 | − | 51561.9i | 0.417553 | − | 1.77775i | ||||
\(945\) | 1618.36i | 0.0557092i | ||||||||
\(946\) | 6946.26 | + | 19952.0i | 0.238734 | + | 0.685723i | ||||
\(947\) | 16211.0i | 0.556269i | 0.960542 | + | 0.278134i | \(0.0897161\pi\) | ||||
−0.960542 | + | 0.278134i | \(0.910284\pi\) | |||||||
\(948\) | 1175.98 | − | 931.774i | 0.0402892 | − | 0.0319226i | ||||
\(949\) | − | 738.395i | − | 0.0252575i | ||||||
\(950\) | −16351.7 | − | 8875.36i | −0.558441 | − | 0.303110i | ||||
\(951\) | − | 1899.15i | − | 0.0647572i | ||||||
\(952\) | −8143.11 | + | 12824.9i | −0.277227 | + | 0.436613i | ||||
\(953\) | − | 32845.9i | − | 1.11646i | −0.829687 | − | 0.558229i | \(-0.811481\pi\) | ||
0.829687 | − | 0.558229i | \(-0.188519\pi\) | |||||||
\(954\) | −44459.2 | + | 15478.4i | −1.50882 | + | 0.525296i | ||||
\(955\) | 30456.6i | 1.03199i | ||||||||
\(956\) | 11306.9 | + | 14270.3i | 0.382521 | + | 0.482776i | ||||
\(957\) | 909.438 | 0.0307189 | ||||||||
\(958\) | 19588.4 | − | 6819.70i | 0.660619 | − | 0.229994i | ||||
\(959\) | − | 41516.3i | − | 1.39795i | ||||||
\(960\) | −362.473 | − | 771.230i | −0.0121862 | − | 0.0259285i | ||||
\(961\) | 30756.3 | 1.03240 | ||||||||
\(962\) | −2911.55 | − | 8362.93i | −0.0975801 | − | 0.280282i | ||||
\(963\) | 19435.1 | 0.650351 | ||||||||
\(964\) | 17591.6 | + | 22202.1i | 0.587745 | + | 0.741787i | ||||
\(965\) | − | 19633.6i | − | 0.654950i | ||||||
\(966\) | 238.290 | + | 684.448i | 0.00793671 | + | 0.0227968i | ||||
\(967\) | 56506.8i | 1.87915i | 0.342344 | + | 0.939575i | \(0.388779\pi\) | ||||
−0.342344 | + | 0.939575i | \(0.611221\pi\) | |||||||
\(968\) | 10514.7 | + | 6676.30i | 0.349128 | + | 0.221678i | ||||
\(969\) | −562.346 | + | 511.916i | −0.0186431 | + | 0.0169712i | ||||
\(970\) | 27277.9 | − | 9496.80i | 0.902930 | − | 0.314355i | ||||
\(971\) | 3515.59 | 0.116190 | 0.0580951 | − | 0.998311i | \(-0.481497\pi\) | ||||
0.0580951 | + | 0.998311i | \(0.481497\pi\) | |||||||
\(972\) | −3370.72 | + | 2670.74i | −0.111230 | + | 0.0881319i | ||||
\(973\) | −39442.4 | −1.29955 | ||||||||
\(974\) | −12147.8 | − | 34892.6i | −0.399632 | − | 1.14787i | ||||
\(975\) | − | 254.455i | − | 0.00835803i | ||||||
\(976\) | −203.630 | + | 866.964i | −0.00667832 | + | 0.0284332i | ||||
\(977\) | 13862.2i | 0.453930i | 0.973903 | + | 0.226965i | \(0.0728803\pi\) | ||||
−0.973903 | + | 0.226965i | \(0.927120\pi\) | |||||||
\(978\) | 2017.21 | − | 702.290i | 0.0659543 | − | 0.0229619i | ||||
\(979\) | −22673.9 | −0.740206 | ||||||||
\(980\) | 763.492 | − | 604.942i | 0.0248866 | − | 0.0197185i | ||||
\(981\) | − | 12010.4i | − | 0.390890i | ||||||
\(982\) | 13291.0 | − | 4627.24i | 0.431906 | − | 0.150368i | ||||
\(983\) | −49556.9 | −1.60795 | −0.803977 | − | 0.594660i | \(-0.797287\pi\) | ||||
−0.803977 | + | 0.594660i | \(0.797287\pi\) | |||||||
\(984\) | −250.914 | + | 395.173i | −0.00812891 | + | 0.0128025i | ||||
\(985\) | −25940.8 | −0.839129 | ||||||||
\(986\) | −13135.3 | + | 4573.03i | −0.424251 | + | 0.147703i | ||||
\(987\) | 983.687 | 0.0317235 | ||||||||
\(988\) | 8496.57 | + | 1390.86i | 0.273595 | + | 0.0447865i | ||||
\(989\) | −15414.0 | −0.495588 | ||||||||
\(990\) | 13572.2 | − | 4725.17i | 0.435711 | − | 0.151693i | ||||
\(991\) | 5834.20 | 0.187013 | 0.0935063 | − | 0.995619i | \(-0.470192\pi\) | ||||
0.0935063 | + | 0.995619i | \(0.470192\pi\) | |||||||
\(992\) | 44300.1 | − | 4638.65i | 1.41787 | − | 0.148465i | ||||
\(993\) | −571.987 | −0.0182794 | ||||||||
\(994\) | 22173.3 | − | 7719.61i | 0.707539 | − | 0.246329i | ||||
\(995\) | 9644.15i | 0.307276i | ||||||||
\(996\) | −703.624 | − | 888.037i | −0.0223847 | − | 0.0282515i | ||||
\(997\) | 1423.78 | 0.0452271 | 0.0226136 | − | 0.999744i | \(-0.492801\pi\) | ||||
0.0226136 | + | 0.999744i | \(0.492801\pi\) | |||||||
\(998\) | −58615.4 | + | 20406.9i | −1.85916 | + | 0.647264i | ||||
\(999\) | 3203.94i | 0.101470i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 76.4.d.a.75.11 | ✓ | 28 | |
4.3 | odd | 2 | inner | 76.4.d.a.75.17 | yes | 28 | |
19.18 | odd | 2 | inner | 76.4.d.a.75.18 | yes | 28 | |
76.75 | even | 2 | inner | 76.4.d.a.75.12 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.4.d.a.75.11 | ✓ | 28 | 1.1 | even | 1 | trivial | |
76.4.d.a.75.12 | yes | 28 | 76.75 | even | 2 | inner | |
76.4.d.a.75.17 | yes | 28 | 4.3 | odd | 2 | inner | |
76.4.d.a.75.18 | yes | 28 | 19.18 | odd | 2 | inner |