Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,3,Mod(119,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.119");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.64580135835\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 119.9 | ||
Character | \(\chi\) | \(=\) | 354.119 |
Dual form | 354.3.b.a.119.29 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.41421i | − | 0.707107i | ||||||
\(3\) | −0.495685 | + | 2.95877i | −0.165228 | + | 0.986255i | ||||
\(4\) | −2.00000 | −0.500000 | ||||||||
\(5\) | − | 8.96910i | − | 1.79382i | −0.442213 | − | 0.896910i | \(-0.645806\pi\) | ||
0.442213 | − | 0.896910i | \(-0.354194\pi\) | |||||||
\(6\) | 4.18433 | + | 0.701004i | 0.697388 | + | 0.116834i | ||||
\(7\) | −9.25455 | −1.32208 | −0.661039 | − | 0.750351i | \(-0.729884\pi\) | ||||
−0.661039 | + | 0.750351i | \(0.729884\pi\) | |||||||
\(8\) | 2.82843i | 0.353553i | ||||||||
\(9\) | −8.50859 | − | 2.93323i | −0.945399 | − | 0.325915i | ||||
\(10\) | −12.6842 | −1.26842 | ||||||||
\(11\) | 17.1827i | 1.56207i | 0.624489 | + | 0.781034i | \(0.285307\pi\) | ||||
−0.624489 | + | 0.781034i | \(0.714693\pi\) | |||||||
\(12\) | 0.991370 | − | 5.91753i | 0.0826142 | − | 0.493128i | ||||
\(13\) | 21.0587 | 1.61990 | 0.809951 | − | 0.586498i | \(-0.199494\pi\) | ||||
0.809951 | + | 0.586498i | \(0.199494\pi\) | |||||||
\(14\) | 13.0879i | 0.934851i | ||||||||
\(15\) | 26.5375 | + | 4.44585i | 1.76916 | + | 0.296390i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | 15.0740i | 0.886705i | 0.896347 | + | 0.443352i | \(0.146211\pi\) | ||||
−0.896347 | + | 0.443352i | \(0.853789\pi\) | |||||||
\(18\) | −4.14822 | + | 12.0330i | −0.230456 | + | 0.668498i | ||||
\(19\) | −11.0933 | −0.583856 | −0.291928 | − | 0.956440i | \(-0.594297\pi\) | ||||
−0.291928 | + | 0.956440i | \(0.594297\pi\) | |||||||
\(20\) | 17.9382i | 0.896910i | ||||||||
\(21\) | 4.58734 | − | 27.3820i | 0.218445 | − | 1.30391i | ||||
\(22\) | 24.3001 | 1.10455 | ||||||||
\(23\) | 38.9760i | 1.69461i | 0.531109 | + | 0.847304i | \(0.321776\pi\) | ||||
−0.531109 | + | 0.847304i | \(0.678224\pi\) | |||||||
\(24\) | −8.36865 | − | 1.40201i | −0.348694 | − | 0.0584170i | ||||
\(25\) | −55.4448 | −2.21779 | ||||||||
\(26\) | − | 29.7815i | − | 1.14544i | ||||||
\(27\) | 12.8963 | − | 23.7210i | 0.477642 | − | 0.878555i | ||||
\(28\) | 18.5091 | 0.661039 | ||||||||
\(29\) | 8.28196i | 0.285585i | 0.989753 | + | 0.142792i | \(0.0456081\pi\) | ||||
−0.989753 | + | 0.142792i | \(0.954392\pi\) | |||||||
\(30\) | 6.28738 | − | 37.5297i | 0.209579 | − | 1.25099i | ||||
\(31\) | 31.3061 | 1.00987 | 0.504937 | − | 0.863156i | \(-0.331516\pi\) | ||||
0.504937 | + | 0.863156i | \(0.331516\pi\) | |||||||
\(32\) | − | 5.65685i | − | 0.176777i | ||||||
\(33\) | −50.8397 | − | 8.51723i | −1.54060 | − | 0.258098i | ||||
\(34\) | 21.3178 | 0.626995 | ||||||||
\(35\) | 83.0050i | 2.37157i | ||||||||
\(36\) | 17.0172 | + | 5.86646i | 0.472700 | + | 0.162957i | ||||
\(37\) | −30.2403 | −0.817306 | −0.408653 | − | 0.912690i | \(-0.634001\pi\) | ||||
−0.408653 | + | 0.912690i | \(0.634001\pi\) | |||||||
\(38\) | 15.6882i | 0.412849i | ||||||||
\(39\) | −10.4385 | + | 62.3078i | −0.267654 | + | 1.59764i | ||||
\(40\) | 25.3684 | 0.634211 | ||||||||
\(41\) | 27.3913i | 0.668080i | 0.942559 | + | 0.334040i | \(0.108412\pi\) | ||||
−0.942559 | + | 0.334040i | \(0.891588\pi\) | |||||||
\(42\) | −38.7241 | − | 6.48748i | −0.922001 | − | 0.154464i | ||||
\(43\) | −61.4214 | −1.42841 | −0.714203 | − | 0.699939i | \(-0.753210\pi\) | ||||
−0.714203 | + | 0.699939i | \(0.753210\pi\) | |||||||
\(44\) | − | 34.3655i | − | 0.781034i | ||||||
\(45\) | −26.3085 | + | 76.3144i | −0.584632 | + | 1.69588i | ||||
\(46\) | 55.1203 | 1.19827 | ||||||||
\(47\) | 11.7552i | 0.250110i | 0.992150 | + | 0.125055i | \(0.0399107\pi\) | ||||
−0.992150 | + | 0.125055i | \(0.960089\pi\) | |||||||
\(48\) | −1.98274 | + | 11.8351i | −0.0413071 | + | 0.246564i | ||||
\(49\) | 36.6467 | 0.747891 | ||||||||
\(50\) | 78.4108i | 1.56822i | ||||||||
\(51\) | −44.6004 | − | 7.47195i | −0.874517 | − | 0.146509i | ||||
\(52\) | −42.1175 | −0.809951 | ||||||||
\(53\) | − | 14.5448i | − | 0.274431i | −0.990541 | − | 0.137215i | \(-0.956185\pi\) | ||
0.990541 | − | 0.137215i | \(-0.0438152\pi\) | |||||||
\(54\) | −33.5465 | − | 18.2382i | −0.621232 | − | 0.337744i | ||||
\(55\) | 154.114 | 2.80207 | ||||||||
\(56\) | − | 26.1758i | − | 0.467425i | ||||||
\(57\) | 5.49877 | − | 32.8224i | 0.0964696 | − | 0.575831i | ||||
\(58\) | 11.7125 | 0.201939 | ||||||||
\(59\) | 7.68115i | 0.130189i | ||||||||
\(60\) | −53.0749 | − | 8.89170i | −0.884582 | − | 0.148195i | ||||
\(61\) | −5.82583 | −0.0955054 | −0.0477527 | − | 0.998859i | \(-0.515206\pi\) | ||||
−0.0477527 | + | 0.998859i | \(0.515206\pi\) | |||||||
\(62\) | − | 44.2735i | − | 0.714089i | ||||||
\(63\) | 78.7432 | + | 27.1457i | 1.24989 | + | 0.430885i | ||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | − | 188.878i | − | 2.90581i | ||||||
\(66\) | −12.0452 | + | 71.8982i | −0.182503 | + | 1.08937i | ||||
\(67\) | −73.2111 | −1.09270 | −0.546351 | − | 0.837556i | \(-0.683984\pi\) | ||||
−0.546351 | + | 0.837556i | \(0.683984\pi\) | |||||||
\(68\) | − | 30.1480i | − | 0.443352i | ||||||
\(69\) | −115.321 | − | 19.3198i | −1.67132 | − | 0.279997i | ||||
\(70\) | 117.387 | 1.67695 | ||||||||
\(71\) | 46.1106i | 0.649445i | 0.945809 | + | 0.324723i | \(0.105271\pi\) | ||||
−0.945809 | + | 0.324723i | \(0.894729\pi\) | |||||||
\(72\) | 8.29643 | − | 24.0659i | 0.115228 | − | 0.334249i | ||||
\(73\) | 85.4930 | 1.17114 | 0.585569 | − | 0.810623i | \(-0.300871\pi\) | ||||
0.585569 | + | 0.810623i | \(0.300871\pi\) | |||||||
\(74\) | 42.7663i | 0.577923i | ||||||||
\(75\) | 27.4831 | − | 164.048i | 0.366442 | − | 2.18731i | ||||
\(76\) | 22.1865 | 0.291928 | ||||||||
\(77\) | − | 159.019i | − | 2.06518i | ||||||
\(78\) | 88.1166 | + | 14.7623i | 1.12970 | + | 0.189260i | ||||
\(79\) | −13.7855 | −0.174500 | −0.0872501 | − | 0.996186i | \(-0.527808\pi\) | ||||
−0.0872501 | + | 0.996186i | \(0.527808\pi\) | |||||||
\(80\) | − | 35.8764i | − | 0.448455i | ||||||
\(81\) | 63.7923 | + | 49.9154i | 0.787559 | + | 0.616239i | ||||
\(82\) | 38.7371 | 0.472404 | ||||||||
\(83\) | 32.5823i | 0.392558i | 0.980548 | + | 0.196279i | \(0.0628858\pi\) | ||||
−0.980548 | + | 0.196279i | \(0.937114\pi\) | |||||||
\(84\) | −9.17468 | + | 54.7641i | −0.109222 | + | 0.651953i | ||||
\(85\) | 135.200 | 1.59059 | ||||||||
\(86\) | 86.8630i | 1.01003i | ||||||||
\(87\) | −24.5044 | − | 4.10524i | −0.281660 | − | 0.0471867i | ||||
\(88\) | −48.6001 | −0.552274 | ||||||||
\(89\) | − | 32.8739i | − | 0.369370i | −0.982798 | − | 0.184685i | \(-0.940874\pi\) | ||
0.982798 | − | 0.184685i | \(-0.0591265\pi\) | |||||||
\(90\) | 107.925 | + | 37.2058i | 1.19917 | + | 0.413397i | ||||
\(91\) | −194.889 | −2.14164 | ||||||||
\(92\) | − | 77.9519i | − | 0.847304i | ||||||
\(93\) | −15.5180 | + | 92.6275i | −0.166860 | + | 0.995994i | ||||
\(94\) | 16.6243 | 0.176855 | ||||||||
\(95\) | 99.4966i | 1.04733i | ||||||||
\(96\) | 16.7373 | + | 2.80402i | 0.174347 | + | 0.0292085i | ||||
\(97\) | −88.8138 | −0.915607 | −0.457803 | − | 0.889054i | \(-0.651364\pi\) | ||||
−0.457803 | + | 0.889054i | \(0.651364\pi\) | |||||||
\(98\) | − | 51.8262i | − | 0.528839i | ||||||
\(99\) | 50.4010 | − | 146.201i | 0.509101 | − | 1.47678i | ||||
\(100\) | 110.890 | 1.10890 | ||||||||
\(101\) | 21.6713i | 0.214568i | 0.994228 | + | 0.107284i | \(0.0342154\pi\) | ||||
−0.994228 | + | 0.107284i | \(0.965785\pi\) | |||||||
\(102\) | −10.5669 | + | 63.0745i | −0.103597 | + | 0.618377i | ||||
\(103\) | 110.222 | 1.07011 | 0.535056 | − | 0.844816i | \(-0.320290\pi\) | ||||
0.535056 | + | 0.844816i | \(0.320290\pi\) | |||||||
\(104\) | 59.5631i | 0.572722i | ||||||||
\(105\) | −245.592 | − | 41.1443i | −2.33897 | − | 0.391851i | ||||
\(106\) | −20.5695 | −0.194052 | ||||||||
\(107\) | − | 41.5747i | − | 0.388548i | −0.980947 | − | 0.194274i | \(-0.937765\pi\) | ||
0.980947 | − | 0.194274i | \(-0.0622352\pi\) | |||||||
\(108\) | −25.7927 | + | 47.4420i | −0.238821 | + | 0.439277i | ||||
\(109\) | −111.009 | −1.01843 | −0.509214 | − | 0.860640i | \(-0.670064\pi\) | ||||
−0.509214 | + | 0.860640i | \(0.670064\pi\) | |||||||
\(110\) | − | 217.950i | − | 1.98136i | ||||||
\(111\) | 14.9897 | − | 89.4741i | 0.135042 | − | 0.806073i | ||||
\(112\) | −37.0182 | −0.330520 | ||||||||
\(113\) | − | 0.847675i | − | 0.00750155i | −0.999993 | − | 0.00375077i | \(-0.998806\pi\) | ||
0.999993 | − | 0.00375077i | \(-0.00119391\pi\) | |||||||
\(114\) | −46.4179 | − | 7.77643i | −0.407174 | − | 0.0682143i | ||||
\(115\) | 349.579 | 3.03982 | ||||||||
\(116\) | − | 16.5639i | − | 0.142792i | ||||||
\(117\) | −179.180 | − | 61.7701i | −1.53145 | − | 0.527950i | ||||
\(118\) | 10.8628 | 0.0920575 | ||||||||
\(119\) | − | 139.503i | − | 1.17229i | ||||||
\(120\) | −12.5748 | + | 75.0593i | −0.104790 | + | 0.625494i | ||||
\(121\) | −174.247 | −1.44006 | ||||||||
\(122\) | 8.23897i | 0.0675325i | ||||||||
\(123\) | −81.0444 | − | 13.5775i | −0.658898 | − | 0.110386i | ||||
\(124\) | −62.6122 | −0.504937 | ||||||||
\(125\) | 273.062i | 2.18450i | ||||||||
\(126\) | 38.3899 | − | 111.360i | 0.304681 | − | 0.883807i | ||||
\(127\) | −209.176 | −1.64705 | −0.823527 | − | 0.567278i | \(-0.807997\pi\) | ||||
−0.823527 | + | 0.567278i | \(0.807997\pi\) | |||||||
\(128\) | 11.3137i | 0.0883883i | ||||||||
\(129\) | 30.4457 | − | 181.732i | 0.236013 | − | 1.40877i | ||||
\(130\) | −267.114 | −2.05472 | ||||||||
\(131\) | 118.745i | 0.906449i | 0.891396 | + | 0.453224i | \(0.149726\pi\) | ||||
−0.891396 | + | 0.453224i | \(0.850274\pi\) | |||||||
\(132\) | 101.679 | + | 17.0345i | 0.770299 | + | 0.129049i | ||||
\(133\) | 102.663 | 0.771903 | ||||||||
\(134\) | 103.536i | 0.772657i | ||||||||
\(135\) | −212.756 | − | 115.668i | −1.57597 | − | 0.856804i | ||||
\(136\) | −42.6357 | −0.313498 | ||||||||
\(137\) | 196.396i | 1.43355i | 0.697307 | + | 0.716773i | \(0.254382\pi\) | ||||
−0.697307 | + | 0.716773i | \(0.745618\pi\) | |||||||
\(138\) | −27.3223 | + | 163.088i | −0.197988 | + | 1.18180i | ||||
\(139\) | 4.55102 | 0.0327412 | 0.0163706 | − | 0.999866i | \(-0.494789\pi\) | ||||
0.0163706 | + | 0.999866i | \(0.494789\pi\) | |||||||
\(140\) | − | 166.010i | − | 1.18579i | ||||||
\(141\) | −34.7808 | − | 5.82686i | −0.246672 | − | 0.0413253i | ||||
\(142\) | 65.2103 | 0.459227 | ||||||||
\(143\) | 361.847i | 2.53040i | ||||||||
\(144\) | −34.0344 | − | 11.7329i | −0.236350 | − | 0.0814787i | ||||
\(145\) | 74.2817 | 0.512288 | ||||||||
\(146\) | − | 120.905i | − | 0.828119i | ||||||
\(147\) | −18.1652 | + | 108.429i | −0.123573 | + | 0.737612i | ||||
\(148\) | 60.4807 | 0.408653 | ||||||||
\(149\) | − | 211.704i | − | 1.42083i | −0.703782 | − | 0.710416i | \(-0.748507\pi\) | ||
0.703782 | − | 0.710416i | \(-0.251493\pi\) | |||||||
\(150\) | −231.999 | − | 38.8670i | −1.54666 | − | 0.259114i | ||||
\(151\) | −124.876 | −0.826992 | −0.413496 | − | 0.910506i | \(-0.635693\pi\) | ||||
−0.413496 | + | 0.910506i | \(0.635693\pi\) | |||||||
\(152\) | − | 31.3765i | − | 0.206424i | ||||||
\(153\) | 44.2155 | − | 128.258i | 0.288990 | − | 0.838290i | ||||
\(154\) | −224.886 | −1.46030 | ||||||||
\(155\) | − | 280.788i | − | 1.81153i | ||||||
\(156\) | 20.8770 | − | 124.616i | 0.133827 | − | 0.798819i | ||||
\(157\) | 108.108 | 0.688586 | 0.344293 | − | 0.938862i | \(-0.388119\pi\) | ||||
0.344293 | + | 0.938862i | \(0.388119\pi\) | |||||||
\(158\) | 19.4957i | 0.123390i | ||||||||
\(159\) | 43.0347 | + | 7.20965i | 0.270659 | + | 0.0453437i | ||||
\(160\) | −50.7369 | −0.317106 | ||||||||
\(161\) | − | 360.705i | − | 2.24040i | ||||||
\(162\) | 70.5910 | − | 90.2159i | 0.435747 | − | 0.556889i | ||||
\(163\) | 105.196 | 0.645372 | 0.322686 | − | 0.946506i | \(-0.395414\pi\) | ||||
0.322686 | + | 0.946506i | \(0.395414\pi\) | |||||||
\(164\) | − | 54.7826i | − | 0.334040i | ||||||
\(165\) | −76.3919 | + | 455.987i | −0.462981 | + | 2.76356i | ||||
\(166\) | 46.0783 | 0.277580 | ||||||||
\(167\) | − | 34.0871i | − | 0.204114i | −0.994779 | − | 0.102057i | \(-0.967458\pi\) | ||
0.994779 | − | 0.102057i | \(-0.0325425\pi\) | |||||||
\(168\) | 77.4481 | + | 12.9750i | 0.461001 | + | 0.0772319i | ||||
\(169\) | 274.470 | 1.62408 | ||||||||
\(170\) | − | 191.202i | − | 1.12472i | ||||||
\(171\) | 94.3881 | + | 32.5391i | 0.551977 | + | 0.190287i | ||||
\(172\) | 122.843 | 0.714203 | ||||||||
\(173\) | 96.7164i | 0.559054i | 0.960138 | + | 0.279527i | \(0.0901777\pi\) | ||||
−0.960138 | + | 0.279527i | \(0.909822\pi\) | |||||||
\(174\) | −5.80569 | + | 34.6544i | −0.0333660 | + | 0.199163i | ||||
\(175\) | 513.116 | 2.93209 | ||||||||
\(176\) | 68.7310i | 0.390517i | ||||||||
\(177\) | −22.7267 | − | 3.80743i | −0.128400 | − | 0.0215109i | ||||
\(178\) | −46.4908 | −0.261184 | ||||||||
\(179\) | − | 34.9485i | − | 0.195243i | −0.995224 | − | 0.0976215i | \(-0.968877\pi\) | ||
0.995224 | − | 0.0976215i | \(-0.0311235\pi\) | |||||||
\(180\) | 52.6169 | − | 152.629i | 0.292316 | − | 0.847938i | ||||
\(181\) | 89.8055 | 0.496163 | 0.248081 | − | 0.968739i | \(-0.420200\pi\) | ||||
0.248081 | + | 0.968739i | \(0.420200\pi\) | |||||||
\(182\) | 275.615i | 1.51437i | ||||||||
\(183\) | 2.88778 | − | 17.2373i | 0.0157802 | − | 0.0941927i | ||||
\(184\) | −110.241 | −0.599134 | ||||||||
\(185\) | 271.229i | 1.46610i | ||||||||
\(186\) | 130.995 | + | 21.9457i | 0.704274 | + | 0.117988i | ||||
\(187\) | −259.012 | −1.38509 | ||||||||
\(188\) | − | 23.5103i | − | 0.125055i | ||||||
\(189\) | −119.350 | + | 219.527i | −0.631480 | + | 1.16152i | ||||
\(190\) | 140.709 | 0.740576 | ||||||||
\(191\) | − | 299.708i | − | 1.56915i | −0.620031 | − | 0.784577i | \(-0.712880\pi\) | ||
0.620031 | − | 0.784577i | \(-0.287120\pi\) | |||||||
\(192\) | 3.96548 | − | 23.6701i | 0.0206535 | − | 0.123282i | ||||
\(193\) | 180.455 | 0.935002 | 0.467501 | − | 0.883993i | \(-0.345154\pi\) | ||||
0.467501 | + | 0.883993i | \(0.345154\pi\) | |||||||
\(194\) | 125.602i | 0.647432i | ||||||||
\(195\) | 558.845 | + | 93.6239i | 2.86587 | + | 0.480123i | ||||
\(196\) | −73.2933 | −0.373946 | ||||||||
\(197\) | 211.362i | 1.07290i | 0.843932 | + | 0.536451i | \(0.180235\pi\) | ||||
−0.843932 | + | 0.536451i | \(0.819765\pi\) | |||||||
\(198\) | −206.759 | − | 71.2777i | −1.04424 | − | 0.359989i | ||||
\(199\) | −373.964 | −1.87922 | −0.939608 | − | 0.342254i | \(-0.888810\pi\) | ||||
−0.939608 | + | 0.342254i | \(0.888810\pi\) | |||||||
\(200\) | − | 156.822i | − | 0.784108i | ||||||
\(201\) | 36.2896 | − | 216.614i | 0.180545 | − | 1.07768i | ||||
\(202\) | 30.6479 | 0.151722 | ||||||||
\(203\) | − | 76.6458i | − | 0.377566i | ||||||
\(204\) | 89.2008 | + | 14.9439i | 0.437259 | + | 0.0732544i | ||||
\(205\) | 245.675 | 1.19842 | ||||||||
\(206\) | − | 155.877i | − | 0.756684i | ||||||
\(207\) | 114.326 | − | 331.631i | 0.552297 | − | 1.60208i | ||||
\(208\) | 84.2349 | 0.404976 | ||||||||
\(209\) | − | 190.613i | − | 0.912023i | ||||||
\(210\) | −58.1869 | + | 347.320i | −0.277080 | + | 1.65390i | ||||
\(211\) | 163.985 | 0.777178 | 0.388589 | − | 0.921411i | \(-0.372963\pi\) | ||||
0.388589 | + | 0.921411i | \(0.372963\pi\) | |||||||
\(212\) | 29.0897i | 0.137215i | ||||||||
\(213\) | −136.431 | − | 22.8563i | −0.640519 | − | 0.107307i | ||||
\(214\) | −58.7955 | −0.274745 | ||||||||
\(215\) | 550.895i | 2.56230i | ||||||||
\(216\) | 67.0931 | + | 36.4763i | 0.310616 | + | 0.168872i | ||||
\(217\) | −289.724 | −1.33513 | ||||||||
\(218\) | 156.990i | 0.720137i | ||||||||
\(219\) | −42.3776 | + | 252.954i | −0.193505 | + | 1.15504i | ||||
\(220\) | −308.228 | −1.40103 | ||||||||
\(221\) | 317.439i | 1.43638i | ||||||||
\(222\) | −126.535 | − | 21.1986i | −0.569979 | − | 0.0954892i | ||||
\(223\) | 335.950 | 1.50650 | 0.753251 | − | 0.657733i | \(-0.228485\pi\) | ||||
0.753251 | + | 0.657733i | \(0.228485\pi\) | |||||||
\(224\) | 52.3516i | 0.233713i | ||||||||
\(225\) | 471.757 | + | 162.632i | 2.09670 | + | 0.722811i | ||||
\(226\) | −1.19879 | −0.00530440 | ||||||||
\(227\) | − | 377.581i | − | 1.66335i | −0.555261 | − | 0.831676i | \(-0.687382\pi\) | ||
0.555261 | − | 0.831676i | \(-0.312618\pi\) | |||||||
\(228\) | −10.9975 | + | 65.6448i | −0.0482348 | + | 0.287916i | ||||
\(229\) | −268.973 | −1.17456 | −0.587278 | − | 0.809385i | \(-0.699800\pi\) | ||||
−0.587278 | + | 0.809385i | \(0.699800\pi\) | |||||||
\(230\) | − | 494.380i | − | 2.14948i | ||||||
\(231\) | 470.499 | + | 78.8231i | 2.03679 | + | 0.341226i | ||||
\(232\) | −23.4249 | −0.100969 | ||||||||
\(233\) | 456.958i | 1.96119i | 0.196035 | + | 0.980597i | \(0.437193\pi\) | ||||
−0.196035 | + | 0.980597i | \(0.562807\pi\) | |||||||
\(234\) | −87.3562 | + | 253.399i | −0.373317 | + | 1.08290i | ||||
\(235\) | 105.433 | 0.448653 | ||||||||
\(236\) | − | 15.3623i | − | 0.0650945i | ||||||
\(237\) | 6.83327 | − | 40.7881i | 0.0288324 | − | 0.172102i | ||||
\(238\) | −197.287 | −0.828937 | ||||||||
\(239\) | 261.649i | 1.09477i | 0.836882 | + | 0.547384i | \(0.184376\pi\) | ||||
−0.836882 | + | 0.547384i | \(0.815624\pi\) | |||||||
\(240\) | 106.150 | + | 17.7834i | 0.442291 | + | 0.0740975i | ||||
\(241\) | −53.9882 | −0.224018 | −0.112009 | − | 0.993707i | \(-0.535728\pi\) | ||||
−0.112009 | + | 0.993707i | \(0.535728\pi\) | |||||||
\(242\) | 246.422i | 1.01827i | ||||||||
\(243\) | −179.309 | + | 164.004i | −0.737896 | + | 0.674914i | ||||
\(244\) | 11.6517 | 0.0477527 | ||||||||
\(245\) | − | 328.688i | − | 1.34158i | ||||||
\(246\) | −19.2014 | + | 114.614i | −0.0780546 | + | 0.465911i | ||||
\(247\) | −233.610 | −0.945790 | ||||||||
\(248\) | 88.5470i | 0.357045i | ||||||||
\(249\) | −96.4034 | − | 16.1506i | −0.387162 | − | 0.0648617i | ||||
\(250\) | 386.168 | 1.54467 | ||||||||
\(251\) | − | 217.016i | − | 0.864605i | −0.901729 | − | 0.432302i | \(-0.857701\pi\) | ||
0.901729 | − | 0.432302i | \(-0.142299\pi\) | |||||||
\(252\) | −157.486 | − | 54.2915i | −0.624946 | − | 0.215442i | ||||
\(253\) | −669.714 | −2.64709 | ||||||||
\(254\) | 295.819i | 1.16464i | ||||||||
\(255\) | −67.0167 | + | 400.025i | −0.262810 | + | 1.56873i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | 64.8764i | 0.252438i | 0.992002 | + | 0.126219i | \(0.0402841\pi\) | ||||
−0.992002 | + | 0.126219i | \(0.959716\pi\) | |||||||
\(258\) | −257.007 | − | 43.0567i | −0.996152 | − | 0.166886i | ||||
\(259\) | 279.861 | 1.08054 | ||||||||
\(260\) | 377.756i | 1.45291i | ||||||||
\(261\) | 24.2929 | − | 70.4678i | 0.0930763 | − | 0.269992i | ||||
\(262\) | 167.930 | 0.640956 | ||||||||
\(263\) | − | 105.289i | − | 0.400337i | −0.979762 | − | 0.200168i | \(-0.935851\pi\) | ||
0.979762 | − | 0.200168i | \(-0.0641489\pi\) | |||||||
\(264\) | 24.0904 | − | 143.796i | 0.0912514 | − | 0.544684i | ||||
\(265\) | −130.454 | −0.492279 | ||||||||
\(266\) | − | 145.188i | − | 0.545818i | ||||||
\(267\) | 97.2663 | + | 16.2951i | 0.364293 | + | 0.0610304i | ||||
\(268\) | 146.422 | 0.546351 | ||||||||
\(269\) | − | 319.428i | − | 1.18747i | −0.804662 | − | 0.593733i | \(-0.797654\pi\) | ||
0.804662 | − | 0.593733i | \(-0.202346\pi\) | |||||||
\(270\) | −163.580 | + | 300.882i | −0.605852 | + | 1.11438i | ||||
\(271\) | −137.484 | −0.507321 | −0.253660 | − | 0.967293i | \(-0.581635\pi\) | ||||
−0.253660 | + | 0.967293i | \(0.581635\pi\) | |||||||
\(272\) | 60.2959i | 0.221676i | ||||||||
\(273\) | 96.6036 | − | 576.631i | 0.353859 | − | 2.11220i | ||||
\(274\) | 277.746 | 1.01367 | ||||||||
\(275\) | − | 952.694i | − | 3.46434i | ||||||
\(276\) | 230.642 | + | 38.6396i | 0.835658 | + | 0.139999i | ||||
\(277\) | −31.2450 | −0.112798 | −0.0563989 | − | 0.998408i | \(-0.517962\pi\) | ||||
−0.0563989 | + | 0.998408i | \(0.517962\pi\) | |||||||
\(278\) | − | 6.43612i | − | 0.0231515i | ||||||
\(279\) | −266.371 | − | 91.8281i | −0.954735 | − | 0.329133i | ||||
\(280\) | −234.774 | −0.838477 | ||||||||
\(281\) | 228.749i | 0.814054i | 0.913416 | + | 0.407027i | \(0.133435\pi\) | ||||
−0.913416 | + | 0.407027i | \(0.866565\pi\) | |||||||
\(282\) | −8.24043 | + | 49.1875i | −0.0292214 | + | 0.174424i | ||||
\(283\) | 52.3256 | 0.184896 | 0.0924481 | − | 0.995718i | \(-0.470531\pi\) | ||||
0.0924481 | + | 0.995718i | \(0.470531\pi\) | |||||||
\(284\) | − | 92.2213i | − | 0.324723i | ||||||
\(285\) | −294.387 | − | 49.3190i | −1.03294 | − | 0.173049i | ||||
\(286\) | 511.729 | 1.78926 | ||||||||
\(287\) | − | 253.494i | − | 0.883255i | ||||||
\(288\) | −16.5929 | + | 48.1319i | −0.0576141 | + | 0.167125i | ||||
\(289\) | 61.7750 | 0.213754 | ||||||||
\(290\) | − | 105.050i | − | 0.362242i | ||||||
\(291\) | 44.0237 | − | 262.779i | 0.151284 | − | 0.903022i | ||||
\(292\) | −170.986 | −0.585569 | ||||||||
\(293\) | 189.465i | 0.646640i | 0.946290 | + | 0.323320i | \(0.104799\pi\) | ||||
−0.946290 | + | 0.323320i | \(0.895201\pi\) | |||||||
\(294\) | 153.342 | + | 25.6895i | 0.521570 | + | 0.0873792i | ||||
\(295\) | 68.8930 | 0.233536 | ||||||||
\(296\) | − | 85.5326i | − | 0.288961i | ||||||
\(297\) | 407.592 | + | 221.594i | 1.37236 | + | 0.746109i | ||||
\(298\) | −299.395 | −1.00468 | ||||||||
\(299\) | 820.784i | 2.74510i | ||||||||
\(300\) | −54.9663 | + | 328.096i | −0.183221 | + | 1.09365i | ||||
\(301\) | 568.428 | 1.88846 | ||||||||
\(302\) | 176.601i | 0.584772i | ||||||||
\(303\) | −64.1204 | − | 10.7422i | −0.211619 | − | 0.0354527i | ||||
\(304\) | −44.3731 | −0.145964 | ||||||||
\(305\) | 52.2525i | 0.171320i | ||||||||
\(306\) | −181.385 | − | 62.5301i | −0.592761 | − | 0.204347i | ||||
\(307\) | −270.280 | −0.880391 | −0.440196 | − | 0.897902i | \(-0.645091\pi\) | ||||
−0.440196 | + | 0.897902i | \(0.645091\pi\) | |||||||
\(308\) | 318.037i | 1.03259i | ||||||||
\(309\) | −54.6352 | + | 326.120i | −0.176813 | + | 1.05540i | ||||
\(310\) | −397.094 | −1.28095 | ||||||||
\(311\) | − | 256.254i | − | 0.823968i | −0.911191 | − | 0.411984i | \(-0.864836\pi\) | ||
0.911191 | − | 0.411984i | \(-0.135164\pi\) | |||||||
\(312\) | −176.233 | − | 29.5245i | −0.564850 | − | 0.0946299i | ||||
\(313\) | −449.362 | −1.43566 | −0.717831 | − | 0.696217i | \(-0.754865\pi\) | ||||
−0.717831 | + | 0.696217i | \(0.754865\pi\) | |||||||
\(314\) | − | 152.888i | − | 0.486904i | ||||||
\(315\) | 243.473 | − | 706.256i | 0.772930 | − | 2.24208i | ||||
\(316\) | 27.5710 | 0.0872501 | ||||||||
\(317\) | 506.823i | 1.59881i | 0.600792 | + | 0.799406i | \(0.294852\pi\) | ||||
−0.600792 | + | 0.799406i | \(0.705148\pi\) | |||||||
\(318\) | 10.1960 | − | 60.8603i | 0.0320629 | − | 0.191385i | ||||
\(319\) | −142.307 | −0.446103 | ||||||||
\(320\) | 71.7528i | 0.224228i | ||||||||
\(321\) | 123.010 | + | 20.6079i | 0.383208 | + | 0.0641992i | ||||
\(322\) | −510.114 | −1.58420 | ||||||||
\(323\) | − | 167.220i | − | 0.517708i | ||||||
\(324\) | −127.585 | − | 99.8307i | −0.393780 | − | 0.308119i | ||||
\(325\) | −1167.60 | −3.59260 | ||||||||
\(326\) | − | 148.769i | − | 0.456347i | ||||||
\(327\) | 55.0253 | − | 328.449i | 0.168273 | − | 1.00443i | ||||
\(328\) | −77.4743 | −0.236202 | ||||||||
\(329\) | − | 108.789i | − | 0.330665i | ||||||
\(330\) | 644.863 | + | 108.034i | 1.95413 | + | 0.327377i | ||||
\(331\) | 183.359 | 0.553955 | 0.276977 | − | 0.960876i | \(-0.410667\pi\) | ||||
0.276977 | + | 0.960876i | \(0.410667\pi\) | |||||||
\(332\) | − | 65.1646i | − | 0.196279i | ||||||
\(333\) | 257.303 | + | 88.7019i | 0.772681 | + | 0.266372i | ||||
\(334\) | −48.2065 | −0.144331 | ||||||||
\(335\) | 656.637i | 1.96011i | ||||||||
\(336\) | 18.3494 | − | 109.528i | 0.0546112 | − | 0.325977i | ||||
\(337\) | 100.071 | 0.296946 | 0.148473 | − | 0.988916i | \(-0.452564\pi\) | ||||
0.148473 | + | 0.988916i | \(0.452564\pi\) | |||||||
\(338\) | − | 388.159i | − | 1.14840i | ||||||
\(339\) | 2.50807 | + | 0.420180i | 0.00739844 | + | 0.00123947i | ||||
\(340\) | −270.400 | −0.795295 | ||||||||
\(341\) | 537.925i | 1.57749i | ||||||||
\(342\) | 46.0173 | − | 133.485i | 0.134553 | − | 0.390307i | ||||
\(343\) | 114.325 | 0.333308 | ||||||||
\(344\) | − | 173.726i | − | 0.505017i | ||||||
\(345\) | −173.281 | + | 1034.32i | −0.502265 | + | 2.99804i | ||||
\(346\) | 136.778 | 0.395311 | ||||||||
\(347\) | 505.650i | 1.45720i | 0.684937 | + | 0.728602i | \(0.259830\pi\) | ||||
−0.684937 | + | 0.728602i | \(0.740170\pi\) | |||||||
\(348\) | 49.0088 | + | 8.21049i | 0.140830 | + | 0.0235934i | ||||
\(349\) | 405.344 | 1.16144 | 0.580722 | − | 0.814102i | \(-0.302770\pi\) | ||||
0.580722 | + | 0.814102i | \(0.302770\pi\) | |||||||
\(350\) | − | 725.656i | − | 2.07330i | ||||||
\(351\) | 271.580 | − | 499.534i | 0.773733 | − | 1.42317i | ||||
\(352\) | 97.2003 | 0.276137 | ||||||||
\(353\) | 180.248i | 0.510617i | 0.966860 | + | 0.255309i | \(0.0821771\pi\) | ||||
−0.966860 | + | 0.255309i | \(0.917823\pi\) | |||||||
\(354\) | −5.38452 | + | 32.1404i | −0.0152105 | + | 0.0907922i | ||||
\(355\) | 413.571 | 1.16499 | ||||||||
\(356\) | 65.7479i | 0.184685i | ||||||||
\(357\) | 412.756 | + | 69.1495i | 1.15618 | + | 0.193696i | ||||
\(358\) | −49.4247 | −0.138058 | ||||||||
\(359\) | 456.649i | 1.27200i | 0.771688 | + | 0.636002i | \(0.219413\pi\) | ||||
−0.771688 | + | 0.636002i | \(0.780587\pi\) | |||||||
\(360\) | −215.850 | − | 74.4115i | −0.599583 | − | 0.206699i | ||||
\(361\) | −237.939 | −0.659112 | ||||||||
\(362\) | − | 127.004i | − | 0.350840i | ||||||
\(363\) | 86.3715 | − | 515.555i | 0.237938 | − | 1.42026i | ||||
\(364\) | 389.778 | 1.07082 | ||||||||
\(365\) | − | 766.796i | − | 2.10081i | ||||||
\(366\) | −24.3772 | − | 4.08393i | −0.0666043 | − | 0.0111583i | ||||
\(367\) | 403.812 | 1.10030 | 0.550152 | − | 0.835064i | \(-0.314570\pi\) | ||||
0.550152 | + | 0.835064i | \(0.314570\pi\) | |||||||
\(368\) | 155.904i | 0.423652i | ||||||||
\(369\) | 80.3450 | − | 233.061i | 0.217737 | − | 0.631603i | ||||
\(370\) | 383.575 | 1.03669 | ||||||||
\(371\) | 134.606i | 0.362819i | ||||||||
\(372\) | 31.0359 | − | 185.255i | 0.0834299 | − | 0.497997i | ||||
\(373\) | 326.128 | 0.874337 | 0.437169 | − | 0.899380i | \(-0.355981\pi\) | ||||
0.437169 | + | 0.899380i | \(0.355981\pi\) | |||||||
\(374\) | 366.299i | 0.979409i | ||||||||
\(375\) | −807.927 | − | 135.353i | −2.15447 | − | 0.360941i | ||||
\(376\) | −33.2487 | −0.0884273 | ||||||||
\(377\) | 174.408i | 0.462620i | ||||||||
\(378\) | 310.458 | + | 168.786i | 0.821317 | + | 0.446524i | ||||
\(379\) | −399.946 | −1.05527 | −0.527633 | − | 0.849472i | \(-0.676920\pi\) | ||||
−0.527633 | + | 0.849472i | \(0.676920\pi\) | |||||||
\(380\) | − | 198.993i | − | 0.523666i | ||||||
\(381\) | 103.685 | − | 618.902i | 0.272140 | − | 1.62442i | ||||
\(382\) | −423.852 | −1.10956 | ||||||||
\(383\) | 480.714i | 1.25513i | 0.778565 | + | 0.627563i | \(0.215948\pi\) | ||||
−0.778565 | + | 0.627563i | \(0.784052\pi\) | |||||||
\(384\) | −33.4746 | − | 5.60804i | −0.0871735 | − | 0.0146043i | ||||
\(385\) | −1426.25 | −3.70455 | ||||||||
\(386\) | − | 255.202i | − | 0.661146i | ||||||
\(387\) | 522.610 | + | 180.163i | 1.35041 | + | 0.465538i | ||||
\(388\) | 177.628 | 0.457803 | ||||||||
\(389\) | − | 548.261i | − | 1.40941i | −0.709500 | − | 0.704705i | \(-0.751079\pi\) | ||
0.709500 | − | 0.704705i | \(-0.248921\pi\) | |||||||
\(390\) | 132.404 | − | 790.327i | 0.339498 | − | 2.02648i | ||||
\(391\) | −587.523 | −1.50262 | ||||||||
\(392\) | 103.652i | 0.264419i | ||||||||
\(393\) | −351.338 | − | 58.8600i | −0.893990 | − | 0.149771i | ||||
\(394\) | 298.910 | 0.758656 | ||||||||
\(395\) | 123.644i | 0.313022i | ||||||||
\(396\) | −100.802 | + | 292.402i | −0.254550 | + | 0.738389i | ||||
\(397\) | 309.135 | 0.778678 | 0.389339 | − | 0.921094i | \(-0.372703\pi\) | ||||
0.389339 | + | 0.921094i | \(0.372703\pi\) | |||||||
\(398\) | 528.865i | 1.32881i | ||||||||
\(399\) | −50.8886 | + | 303.756i | −0.127540 | + | 0.761294i | ||||
\(400\) | −221.779 | −0.554448 | ||||||||
\(401\) | − | 94.1980i | − | 0.234908i | −0.993078 | − | 0.117454i | \(-0.962527\pi\) | ||
0.993078 | − | 0.117454i | \(-0.0374732\pi\) | |||||||
\(402\) | −306.339 | − | 51.3213i | −0.762037 | − | 0.127665i | ||||
\(403\) | 659.267 | 1.63590 | ||||||||
\(404\) | − | 43.3427i | − | 0.107284i | ||||||
\(405\) | 447.696 | − | 572.160i | 1.10542 | − | 1.41274i | ||||
\(406\) | −108.394 | −0.266979 | ||||||||
\(407\) | − | 519.612i | − | 1.27669i | ||||||
\(408\) | 21.1339 | − | 126.149i | 0.0517987 | − | 0.309189i | ||||
\(409\) | −298.046 | −0.728719 | −0.364360 | − | 0.931258i | \(-0.618712\pi\) | ||||
−0.364360 | + | 0.931258i | \(0.618712\pi\) | |||||||
\(410\) | − | 347.437i | − | 0.847408i | ||||||
\(411\) | −581.089 | − | 97.3504i | −1.41384 | − | 0.236862i | ||||
\(412\) | −220.443 | −0.535056 | ||||||||
\(413\) | − | 71.0855i | − | 0.172120i | ||||||
\(414\) | −468.997 | − | 161.681i | −1.13284 | − | 0.390533i | ||||
\(415\) | 292.234 | 0.704178 | ||||||||
\(416\) | − | 119.126i | − | 0.286361i | ||||||
\(417\) | −2.25587 | + | 13.4654i | −0.00540977 | + | 0.0322911i | ||||
\(418\) | −269.567 | −0.644898 | ||||||||
\(419\) | − | 652.807i | − | 1.55801i | −0.627016 | − | 0.779006i | \(-0.715724\pi\) | ||
0.627016 | − | 0.779006i | \(-0.284276\pi\) | |||||||
\(420\) | 491.185 | + | 82.2886i | 1.16949 | + | 0.195925i | ||||
\(421\) | 326.387 | 0.775267 | 0.387634 | − | 0.921814i | \(-0.373293\pi\) | ||||
0.387634 | + | 0.921814i | \(0.373293\pi\) | |||||||
\(422\) | − | 231.909i | − | 0.549548i | ||||||
\(423\) | 34.4806 | − | 100.020i | 0.0815145 | − | 0.236454i | ||||
\(424\) | 41.1390 | 0.0970259 | ||||||||
\(425\) | − | 835.774i | − | 1.96653i | ||||||
\(426\) | −32.3238 | + | 192.942i | −0.0758774 | + | 0.452915i | ||||
\(427\) | 53.9154 | 0.126266 | ||||||||
\(428\) | 83.1494i | 0.194274i | ||||||||
\(429\) | −1070.62 | − | 179.362i | −2.49562 | − | 0.418093i | ||||
\(430\) | 779.083 | 1.81182 | ||||||||
\(431\) | 428.656i | 0.994562i | 0.867590 | + | 0.497281i | \(0.165668\pi\) | ||||
−0.867590 | + | 0.497281i | \(0.834332\pi\) | |||||||
\(432\) | 51.5853 | − | 94.8839i | 0.119410 | − | 0.219639i | ||||
\(433\) | 629.092 | 1.45287 | 0.726434 | − | 0.687236i | \(-0.241176\pi\) | ||||
0.726434 | + | 0.687236i | \(0.241176\pi\) | |||||||
\(434\) | 409.731i | 0.944082i | ||||||||
\(435\) | −36.8203 | + | 219.782i | −0.0846445 | + | 0.505247i | ||||
\(436\) | 222.017 | 0.509214 | ||||||||
\(437\) | − | 432.371i | − | 0.989407i | ||||||
\(438\) | 357.731 | + | 59.9310i | 0.816737 | + | 0.136829i | ||||
\(439\) | −82.4724 | −0.187864 | −0.0939322 | − | 0.995579i | \(-0.529944\pi\) | ||||
−0.0939322 | + | 0.995579i | \(0.529944\pi\) | |||||||
\(440\) | 435.900i | 0.990681i | ||||||||
\(441\) | −311.812 | − | 107.493i | −0.707056 | − | 0.243749i | ||||
\(442\) | 448.926 | 1.01567 | ||||||||
\(443\) | 372.525i | 0.840915i | 0.907312 | + | 0.420457i | \(0.138130\pi\) | ||||
−0.907312 | + | 0.420457i | \(0.861870\pi\) | |||||||
\(444\) | −29.9794 | + | 178.948i | −0.0675211 | + | 0.403036i | ||||
\(445\) | −294.850 | −0.662583 | ||||||||
\(446\) | − | 475.105i | − | 1.06526i | ||||||
\(447\) | 626.383 | + | 104.939i | 1.40130 | + | 0.234762i | ||||
\(448\) | 74.0364 | 0.165260 | ||||||||
\(449\) | − | 404.982i | − | 0.901964i | −0.892533 | − | 0.450982i | \(-0.851074\pi\) | ||
0.892533 | − | 0.450982i | \(-0.148926\pi\) | |||||||
\(450\) | 229.997 | − | 667.165i | 0.511104 | − | 1.48259i | ||||
\(451\) | −470.658 | −1.04359 | ||||||||
\(452\) | 1.69535i | 0.00375077i | ||||||||
\(453\) | 61.8991 | − | 369.478i | 0.136643 | − | 0.815626i | ||||
\(454\) | −533.980 | −1.17617 | ||||||||
\(455\) | 1747.98i | 3.84171i | ||||||||
\(456\) | 92.8357 | + | 15.5529i | 0.203587 | + | 0.0341071i | ||||
\(457\) | −439.564 | −0.961847 | −0.480924 | − | 0.876762i | \(-0.659699\pi\) | ||||
−0.480924 | + | 0.876762i | \(0.659699\pi\) | |||||||
\(458\) | 380.386i | 0.830536i | ||||||||
\(459\) | 357.570 | + | 194.399i | 0.779019 | + | 0.423527i | ||||
\(460\) | −699.159 | −1.51991 | ||||||||
\(461\) | 137.965i | 0.299272i | 0.988741 | + | 0.149636i | \(0.0478102\pi\) | ||||
−0.988741 | + | 0.149636i | \(0.952190\pi\) | |||||||
\(462\) | 111.473 | − | 665.386i | 0.241283 | − | 1.44023i | ||||
\(463\) | −469.895 | −1.01489 | −0.507446 | − | 0.861684i | \(-0.669410\pi\) | ||||
−0.507446 | + | 0.861684i | \(0.669410\pi\) | |||||||
\(464\) | 33.1278i | 0.0713962i | ||||||||
\(465\) | 830.785 | + | 139.182i | 1.78663 | + | 0.299317i | ||||
\(466\) | 646.236 | 1.38677 | ||||||||
\(467\) | − | 290.977i | − | 0.623078i | −0.950233 | − | 0.311539i | \(-0.899156\pi\) | ||
0.950233 | − | 0.311539i | \(-0.100844\pi\) | |||||||
\(468\) | 358.360 | + | 123.540i | 0.765727 | + | 0.263975i | ||||
\(469\) | 677.535 | 1.44464 | ||||||||
\(470\) | − | 149.105i | − | 0.317245i | ||||||
\(471\) | −53.5875 | + | 319.866i | −0.113774 | + | 0.679121i | ||||
\(472\) | −21.7256 | −0.0460287 | ||||||||
\(473\) | − | 1055.39i | − | 2.23127i | ||||||
\(474\) | −57.6831 | − | 9.66371i | −0.121694 | − | 0.0203876i | ||||
\(475\) | 615.064 | 1.29487 | ||||||||
\(476\) | 279.006i | 0.586147i | ||||||||
\(477\) | −42.6633 | + | 123.756i | −0.0894410 | + | 0.259447i | ||||
\(478\) | 370.028 | 0.774118 | ||||||||
\(479\) | − | 152.918i | − | 0.319245i | −0.987178 | − | 0.159623i | \(-0.948972\pi\) | ||
0.987178 | − | 0.159623i | \(-0.0510277\pi\) | |||||||
\(480\) | 25.1495 | − | 150.119i | 0.0523948 | − | 0.312747i | ||||
\(481\) | −636.823 | −1.32396 | ||||||||
\(482\) | 76.3509i | 0.158404i | ||||||||
\(483\) | 1067.24 | + | 178.796i | 2.20961 | + | 0.370178i | ||||
\(484\) | 348.494 | 0.720028 | ||||||||
\(485\) | 796.580i | 1.64243i | ||||||||
\(486\) | 231.937 | + | 253.581i | 0.477237 | + | 0.521771i | ||||
\(487\) | 613.133 | 1.25900 | 0.629500 | − | 0.777000i | \(-0.283260\pi\) | ||||
0.629500 | + | 0.777000i | \(0.283260\pi\) | |||||||
\(488\) | − | 16.4779i | − | 0.0337663i | ||||||
\(489\) | −52.1439 | + | 311.249i | −0.106634 | + | 0.636502i | ||||
\(490\) | −464.835 | −0.948642 | ||||||||
\(491\) | − | 802.381i | − | 1.63418i | −0.576512 | − | 0.817088i | \(-0.695587\pi\) | ||
0.576512 | − | 0.817088i | \(-0.304413\pi\) | |||||||
\(492\) | 162.089 | + | 27.1549i | 0.329449 | + | 0.0551929i | ||||
\(493\) | −124.842 | −0.253229 | ||||||||
\(494\) | 330.375i | 0.668774i | ||||||||
\(495\) | −1311.29 | − | 452.051i | −2.64907 | − | 0.913235i | ||||
\(496\) | 125.224 | 0.252469 | ||||||||
\(497\) | − | 426.733i | − | 0.858618i | ||||||
\(498\) | −22.8403 | + | 136.335i | −0.0458641 | + | 0.273765i | ||||
\(499\) | 641.199 | 1.28497 | 0.642484 | − | 0.766299i | \(-0.277904\pi\) | ||||
0.642484 | + | 0.766299i | \(0.277904\pi\) | |||||||
\(500\) | − | 546.125i | − | 1.09225i | ||||||
\(501\) | 100.856 | + | 16.8965i | 0.201309 | + | 0.0337255i | ||||
\(502\) | −306.907 | −0.611368 | ||||||||
\(503\) | − | 759.025i | − | 1.50900i | −0.656302 | − | 0.754498i | \(-0.727880\pi\) | ||
0.656302 | − | 0.754498i | \(-0.272120\pi\) | |||||||
\(504\) | −76.7797 | + | 222.719i | −0.152341 | + | 0.441903i | ||||
\(505\) | 194.372 | 0.384896 | ||||||||
\(506\) | 947.119i | 1.87178i | ||||||||
\(507\) | −136.051 | + | 812.092i | −0.268344 | + | 1.60176i | ||||
\(508\) | 418.352 | 0.823527 | ||||||||
\(509\) | − | 847.183i | − | 1.66441i | −0.554471 | − | 0.832203i | \(-0.687079\pi\) | ||
0.554471 | − | 0.832203i | \(-0.312921\pi\) | |||||||
\(510\) | 565.721 | + | 94.7759i | 1.10926 | + | 0.185835i | ||||
\(511\) | −791.199 | −1.54834 | ||||||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | −143.062 | + | 263.143i | −0.278874 | + | 0.512949i | ||||
\(514\) | 91.7491 | 0.178500 | ||||||||
\(515\) | − | 988.589i | − | 1.91959i | ||||||
\(516\) | −60.8914 | + | 363.463i | −0.118006 | + | 0.704386i | ||||
\(517\) | −201.986 | −0.390689 | ||||||||
\(518\) | − | 395.783i | − | 0.764059i | ||||||
\(519\) | −286.161 | − | 47.9409i | −0.551370 | − | 0.0923716i | ||||
\(520\) | 534.227 | 1.02736 | ||||||||
\(521\) | − | 251.175i | − | 0.482102i | −0.970512 | − | 0.241051i | \(-0.922508\pi\) | ||
0.970512 | − | 0.241051i | \(-0.0774921\pi\) | |||||||
\(522\) | −99.6566 | − | 34.3554i | −0.190913 | − | 0.0658149i | ||||
\(523\) | −440.254 | −0.841786 | −0.420893 | − | 0.907110i | \(-0.638283\pi\) | ||||
−0.420893 | + | 0.907110i | \(0.638283\pi\) | |||||||
\(524\) | − | 237.490i | − | 0.453224i | ||||||
\(525\) | −254.344 | + | 1518.19i | −0.484465 | + | 2.89179i | ||||
\(526\) | −148.900 | −0.283081 | ||||||||
\(527\) | 471.908i | 0.895461i | ||||||||
\(528\) | −203.359 | − | 34.0689i | −0.385149 | − | 0.0645245i | ||||
\(529\) | −990.126 | −1.87169 | ||||||||
\(530\) | 184.490i | 0.348094i | ||||||||
\(531\) | 22.5306 | − | 65.3557i | 0.0424305 | − | 0.123080i | ||||
\(532\) | −205.326 | −0.385952 | ||||||||
\(533\) | 576.826i | 1.08222i | ||||||||
\(534\) | 23.0448 | − | 137.555i | 0.0431550 | − | 0.257594i | ||||
\(535\) | −372.888 | −0.696986 | ||||||||
\(536\) | − | 207.072i | − | 0.386329i | ||||||
\(537\) | 103.404 | + | 17.3235i | 0.192560 | + | 0.0322597i | ||||
\(538\) | −451.740 | −0.839665 | ||||||||
\(539\) | 629.690i | 1.16826i | ||||||||
\(540\) | 425.512 | + | 231.337i | 0.787985 | + | 0.428402i | ||||
\(541\) | 1000.75 | 1.84982 | 0.924909 | − | 0.380189i | \(-0.124141\pi\) | ||||
0.924909 | + | 0.380189i | \(0.124141\pi\) | |||||||
\(542\) | 194.432i | 0.358730i | ||||||||
\(543\) | −44.5152 | + | 265.713i | −0.0819801 | + | 0.489343i | ||||
\(544\) | 85.2713 | 0.156749 | ||||||||
\(545\) | 995.647i | 1.82688i | ||||||||
\(546\) | −815.479 | − | 136.618i | −1.49355 | − | 0.250216i | ||||
\(547\) | −2.15801 | −0.00394518 | −0.00197259 | − | 0.999998i | \(-0.500628\pi\) | ||||
−0.00197259 | + | 0.999998i | \(0.500628\pi\) | |||||||
\(548\) | − | 392.792i | − | 0.716773i | ||||||
\(549\) | 49.5696 | + | 17.0885i | 0.0902907 | + | 0.0311266i | ||||
\(550\) | −1347.31 | −2.44966 | ||||||||
\(551\) | − | 91.8740i | − | 0.166740i | ||||||
\(552\) | 54.6447 | − | 326.176i | 0.0989939 | − | 0.590899i | ||||
\(553\) | 127.579 | 0.230703 | ||||||||
\(554\) | 44.1871i | 0.0797600i | ||||||||
\(555\) | −802.502 | − | 134.444i | −1.44595 | − | 0.242241i | ||||
\(556\) | −9.10204 | −0.0163706 | ||||||||
\(557\) | 797.024i | 1.43092i | 0.698652 | + | 0.715461i | \(0.253783\pi\) | ||||
−0.698652 | + | 0.715461i | \(0.746217\pi\) | |||||||
\(558\) | −129.865 | + | 376.705i | −0.232732 | + | 0.675099i | ||||
\(559\) | −1293.46 | −2.31388 | ||||||||
\(560\) | 332.020i | 0.592893i | ||||||||
\(561\) | 128.389 | − | 766.357i | 0.228857 | − | 1.36606i | ||||
\(562\) | 323.500 | 0.575623 | ||||||||
\(563\) | − | 506.411i | − | 0.899486i | −0.893158 | − | 0.449743i | \(-0.851516\pi\) | ||
0.893158 | − | 0.449743i | \(-0.148484\pi\) | |||||||
\(564\) | 69.5616 | + | 11.6537i | 0.123336 | + | 0.0206626i | ||||
\(565\) | −7.60288 | −0.0134564 | ||||||||
\(566\) | − | 73.9996i | − | 0.130741i | ||||||
\(567\) | −590.369 | − | 461.944i | −1.04122 | − | 0.814716i | ||||
\(568\) | −130.421 | −0.229614 | ||||||||
\(569\) | − | 531.703i | − | 0.934452i | −0.884138 | − | 0.467226i | \(-0.845253\pi\) | ||
0.884138 | − | 0.467226i | \(-0.154747\pi\) | |||||||
\(570\) | −69.7476 | + | 416.326i | −0.122364 | + | 0.730397i | ||||
\(571\) | −275.203 | −0.481968 | −0.240984 | − | 0.970529i | \(-0.577470\pi\) | ||||
−0.240984 | + | 0.970529i | \(0.577470\pi\) | |||||||
\(572\) | − | 723.694i | − | 1.26520i | ||||||
\(573\) | 886.767 | + | 148.561i | 1.54759 | + | 0.259269i | ||||
\(574\) | −358.495 | −0.624555 | ||||||||
\(575\) | − | 2161.01i | − | 3.75829i | ||||||
\(576\) | 68.0687 | + | 23.4659i | 0.118175 | + | 0.0407393i | ||||
\(577\) | −329.741 | −0.571475 | −0.285738 | − | 0.958308i | \(-0.592239\pi\) | ||||
−0.285738 | + | 0.958308i | \(0.592239\pi\) | |||||||
\(578\) | − | 87.3631i | − | 0.151147i | ||||||
\(579\) | −89.4490 | + | 533.925i | −0.154489 | + | 0.922150i | ||||
\(580\) | −148.563 | −0.256144 | ||||||||
\(581\) | − | 301.534i | − | 0.518992i | ||||||
\(582\) | −371.626 | − | 62.2589i | −0.638533 | − | 0.106974i | ||||
\(583\) | 249.920 | 0.428679 | ||||||||
\(584\) | 241.811i | 0.414060i | ||||||||
\(585\) | −554.023 | + | 1607.08i | −0.947047 | + | 2.74715i | ||||
\(586\) | 267.945 | 0.457243 | ||||||||
\(587\) | 1074.66i | 1.83077i | 0.402575 | + | 0.915387i | \(0.368115\pi\) | ||||
−0.402575 | + | 0.915387i | \(0.631885\pi\) | |||||||
\(588\) | 36.3304 | − | 216.858i | 0.0617864 | − | 0.368806i | ||||
\(589\) | −347.287 | −0.589621 | ||||||||
\(590\) | − | 97.4294i | − | 0.165135i | ||||||
\(591\) | −625.369 | − | 104.769i | −1.05815 | − | 0.177274i | ||||
\(592\) | −120.961 | −0.204327 | ||||||||
\(593\) | − | 499.939i | − | 0.843068i | −0.906813 | − | 0.421534i | \(-0.861492\pi\) | ||
0.906813 | − | 0.421534i | \(-0.138508\pi\) | |||||||
\(594\) | 313.382 | − | 576.421i | 0.527579 | − | 0.970406i | ||||
\(595\) | −1251.22 | −2.10288 | ||||||||
\(596\) | 423.408i | 0.710416i | ||||||||
\(597\) | 185.368 | − | 1106.47i | 0.310500 | − | 1.85339i | ||||
\(598\) | 1160.76 | 1.94108 | ||||||||
\(599\) | − | 80.6262i | − | 0.134601i | −0.997733 | − | 0.0673007i | \(-0.978561\pi\) | ||
0.997733 | − | 0.0673007i | \(-0.0214387\pi\) | |||||||
\(600\) | 463.998 | + | 77.7341i | 0.773330 | + | 0.129557i | ||||
\(601\) | −56.3863 | −0.0938209 | −0.0469104 | − | 0.998899i | \(-0.514938\pi\) | ||||
−0.0469104 | + | 0.998899i | \(0.514938\pi\) | |||||||
\(602\) | − | 803.878i | − | 1.33535i | ||||||
\(603\) | 622.923 | + | 214.745i | 1.03304 | + | 0.356128i | ||||
\(604\) | 249.752 | 0.413496 | ||||||||
\(605\) | 1562.84i | 2.58320i | ||||||||
\(606\) | −15.1917 | + | 90.6800i | −0.0250688 | + | 0.149637i | ||||
\(607\) | 644.685 | 1.06208 | 0.531042 | − | 0.847345i | \(-0.321801\pi\) | ||||
0.531042 | + | 0.847345i | \(0.321801\pi\) | |||||||
\(608\) | 62.7530i | 0.103212i | ||||||||
\(609\) | 226.777 | + | 37.9922i | 0.372376 | + | 0.0623845i | ||||
\(610\) | 73.8961 | 0.121141 | ||||||||
\(611\) | 247.549i | 0.405154i | ||||||||
\(612\) | −88.4310 | + | 256.517i | −0.144495 | + | 0.419145i | ||||
\(613\) | 672.062 | 1.09635 | 0.548175 | − | 0.836364i | \(-0.315323\pi\) | ||||
0.548175 | + | 0.836364i | \(0.315323\pi\) | |||||||
\(614\) | 382.234i | 0.622530i | ||||||||
\(615\) | −121.778 | + | 726.896i | −0.198012 | + | 1.18194i | ||||
\(616\) | 449.772 | 0.730150 | ||||||||
\(617\) | 152.747i | 0.247564i | 0.992309 | + | 0.123782i | \(0.0395024\pi\) | ||||
−0.992309 | + | 0.123782i | \(0.960498\pi\) | |||||||
\(618\) | 461.203 | + | 77.2658i | 0.746284 | + | 0.125026i | ||||
\(619\) | 620.572 | 1.00254 | 0.501270 | − | 0.865291i | \(-0.332866\pi\) | ||||
0.501270 | + | 0.865291i | \(0.332866\pi\) | |||||||
\(620\) | 561.575i | 0.905767i | ||||||||
\(621\) | 924.548 | + | 502.647i | 1.48881 | + | 0.809415i | ||||
\(622\) | −362.398 | −0.582633 | ||||||||
\(623\) | 304.233i | 0.488336i | ||||||||
\(624\) | −41.7540 | + | 249.231i | −0.0669134 | + | 0.399409i | ||||
\(625\) | 1063.00 | 1.70081 | ||||||||
\(626\) | 635.494i | 1.01517i | ||||||||
\(627\) | 563.979 | + | 94.4839i | 0.899487 | + | 0.150692i | ||||
\(628\) | −216.216 | −0.344293 | ||||||||
\(629\) | − | 455.842i | − | 0.724709i | ||||||
\(630\) | −998.796 | − | 344.323i | −1.58539 | − | 0.546544i | ||||
\(631\) | 329.365 | 0.521973 | 0.260987 | − | 0.965342i | \(-0.415952\pi\) | ||||
0.260987 | + | 0.965342i | \(0.415952\pi\) | |||||||
\(632\) | − | 38.9913i | − | 0.0616951i | ||||||
\(633\) | −81.2847 | + | 485.192i | −0.128412 | + | 0.766496i | ||||
\(634\) | 716.756 | 1.13053 | ||||||||
\(635\) | 1876.12i | 2.95452i | ||||||||
\(636\) | −86.0695 | − | 14.4193i | −0.135329 | − | 0.0226719i | ||||
\(637\) | 771.732 | 1.21151 | ||||||||
\(638\) | 201.252i | 0.315442i | ||||||||
\(639\) | 135.253 | − | 392.337i | 0.211664 | − | 0.613985i | ||||
\(640\) | 101.474 | 0.158553 | ||||||||
\(641\) | − | 1145.71i | − | 1.78737i | −0.448692 | − | 0.893687i | \(-0.648110\pi\) | ||
0.448692 | − | 0.893687i | \(-0.351890\pi\) | |||||||
\(642\) | 29.1440 | − | 173.962i | 0.0453957 | − | 0.270969i | ||||
\(643\) | −583.222 | −0.907032 | −0.453516 | − | 0.891248i | \(-0.649831\pi\) | ||||
−0.453516 | + | 0.891248i | \(0.649831\pi\) | |||||||
\(644\) | 721.410i | 1.12020i | ||||||||
\(645\) | −1629.97 | − | 273.070i | −2.52708 | − | 0.423365i | ||||
\(646\) | −236.484 | −0.366075 | ||||||||
\(647\) | − | 40.0323i | − | 0.0618738i | −0.999521 | − | 0.0309369i | \(-0.990151\pi\) | ||
0.999521 | − | 0.0309369i | \(-0.00984909\pi\) | |||||||
\(648\) | −141.182 | + | 180.432i | −0.217873 | + | 0.278444i | ||||
\(649\) | −131.983 | −0.203364 | ||||||||
\(650\) | 1651.23i | 2.54035i | ||||||||
\(651\) | 143.612 | − | 857.225i | 0.220602 | − | 1.31678i | ||||
\(652\) | −210.391 | −0.322686 | ||||||||
\(653\) | − | 65.5338i | − | 0.100358i | −0.998740 | − | 0.0501790i | \(-0.984021\pi\) | ||
0.998740 | − | 0.0501790i | \(-0.0159792\pi\) | |||||||
\(654\) | −464.496 | − | 77.8175i | −0.710239 | − | 0.118987i | ||||
\(655\) | 1065.03 | 1.62601 | ||||||||
\(656\) | 109.565i | 0.167020i | ||||||||
\(657\) | −727.425 | − | 250.771i | −1.10719 | − | 0.381691i | ||||
\(658\) | −153.851 | −0.233816 | ||||||||
\(659\) | 662.001i | 1.00455i | 0.864707 | + | 0.502277i | \(0.167504\pi\) | ||||
−0.864707 | + | 0.502277i | \(0.832496\pi\) | |||||||
\(660\) | 152.784 | − | 911.973i | 0.231491 | − | 1.38178i | ||||
\(661\) | 688.413 | 1.04147 | 0.520736 | − | 0.853718i | \(-0.325658\pi\) | ||||
0.520736 | + | 0.853718i | \(0.325658\pi\) | |||||||
\(662\) | − | 259.309i | − | 0.391705i | ||||||
\(663\) | −939.227 | − | 157.350i | −1.41663 | − | 0.237330i | ||||
\(664\) | −92.1566 | −0.138790 | ||||||||
\(665\) | − | 920.796i | − | 1.38466i | ||||||
\(666\) | 125.443 | − | 363.881i | 0.188353 | − | 0.546368i | ||||
\(667\) | −322.797 | −0.483954 | ||||||||
\(668\) | 68.1742i | 0.102057i | ||||||||
\(669\) | −166.525 | + | 993.997i | −0.248917 | + | 1.48580i | ||||
\(670\) | 928.626 | 1.38601 | ||||||||
\(671\) | − | 100.104i | − | 0.149186i | ||||||
\(672\) | −154.896 | − | 25.9499i | −0.230500 | − | 0.0386159i | ||||
\(673\) | 310.353 | 0.461149 | 0.230574 | − | 0.973055i | \(-0.425939\pi\) | ||||
0.230574 | + | 0.973055i | \(0.425939\pi\) | |||||||
\(674\) | − | 141.521i | − | 0.209972i | ||||||
\(675\) | −715.034 | + | 1315.20i | −1.05931 | + | 1.94845i | ||||
\(676\) | −548.940 | −0.812041 | ||||||||
\(677\) | 463.558i | 0.684724i | 0.939568 | + | 0.342362i | \(0.111227\pi\) | ||||
−0.939568 | + | 0.342362i | \(0.888773\pi\) | |||||||
\(678\) | 0.594224 | − | 3.54695i | 0.000876436 | − | 0.00523149i | ||||
\(679\) | 821.932 | 1.21050 | ||||||||
\(680\) | 382.404i | 0.562358i | ||||||||
\(681\) | 1117.17 | + | 187.161i | 1.64049 | + | 0.274833i | ||||
\(682\) | 760.741 | 1.11546 | ||||||||
\(683\) | 492.981i | 0.721788i | 0.932607 | + | 0.360894i | \(0.117528\pi\) | ||||
−0.932607 | + | 0.360894i | \(0.882472\pi\) | |||||||
\(684\) | −188.776 | − | 65.0782i | −0.275989 | − | 0.0951436i | ||||
\(685\) | 1761.49 | 2.57152 | ||||||||
\(686\) | − | 161.679i | − | 0.235684i | ||||||
\(687\) | 133.326 | − | 795.829i | 0.194070 | − | 1.15841i | ||||
\(688\) | −245.686 | −0.357101 | ||||||||
\(689\) | − | 306.296i | − | 0.444551i | ||||||
\(690\) | 1462.75 | + | 245.057i | 2.11993 | + | 0.355155i | ||||
\(691\) | −320.567 | −0.463917 | −0.231959 | − | 0.972726i | \(-0.574513\pi\) | ||||
−0.231959 | + | 0.972726i | \(0.574513\pi\) | |||||||
\(692\) | − | 193.433i | − | 0.279527i | ||||||
\(693\) | −466.438 | + | 1353.02i | −0.673071 | + | 1.95242i | ||||
\(694\) | 715.097 | 1.03040 | ||||||||
\(695\) | − | 40.8186i | − | 0.0587318i | ||||||
\(696\) | 11.6114 | − | 69.3089i | 0.0166830 | − | 0.0995817i | ||||
\(697\) | −412.896 | −0.592390 | ||||||||
\(698\) | − | 573.243i | − | 0.821265i | ||||||
\(699\) | −1352.03 | − | 226.507i | −1.93424 | − | 0.324045i | ||||
\(700\) | −1026.23 | −1.46605 | ||||||||
\(701\) | − | 218.409i | − | 0.311568i | −0.987791 | − | 0.155784i | \(-0.950210\pi\) | ||
0.987791 | − | 0.155784i | \(-0.0497904\pi\) | |||||||
\(702\) | −706.447 | − | 384.072i | −1.00633 | − | 0.547112i | ||||
\(703\) | 335.464 | 0.477189 | ||||||||
\(704\) | − | 137.462i | − | 0.195258i | ||||||
\(705\) | −52.2617 | + | 311.953i | −0.0741301 | + | 0.442486i | ||||
\(706\) | 254.909 | 0.361061 | ||||||||
\(707\) | − | 200.559i | − | 0.283675i | ||||||
\(708\) | 45.4534 | + | 7.61486i | 0.0641998 | + | 0.0107554i | ||||
\(709\) | 1268.22 | 1.78875 | 0.894376 | − | 0.447317i | \(-0.147620\pi\) | ||||
0.894376 | + | 0.447317i | \(0.147620\pi\) | |||||||
\(710\) | − | 584.878i | − | 0.823771i | ||||||
\(711\) | 117.295 | + | 40.4361i | 0.164972 | + | 0.0568722i | ||||
\(712\) | 92.9815 | 0.130592 | ||||||||
\(713\) | 1220.19i | 1.71134i | ||||||||
\(714\) | 97.7922 | − | 583.726i | 0.136964 | − | 0.817543i | ||||
\(715\) | 3245.44 | 4.53908 | ||||||||
\(716\) | 69.8970i | 0.0976215i | ||||||||
\(717\) | −774.160 | − | 129.696i | −1.07972 | − | 0.180887i | ||||
\(718\) | 645.799 | 0.899442 | ||||||||
\(719\) | 9.46003i | 0.0131572i | 0.999978 | + | 0.00657860i | \(0.00209405\pi\) | ||||
−0.999978 | + | 0.00657860i | \(0.997906\pi\) | |||||||
\(720\) | −105.234 | + | 305.258i | −0.146158 | + | 0.423969i | ||||
\(721\) | −1020.05 | −1.41477 | ||||||||
\(722\) | 336.497i | 0.466063i | ||||||||
\(723\) | 26.7612 | − | 159.739i | 0.0370141 | − | 0.220939i | ||||
\(724\) | −179.611 | −0.248081 | ||||||||
\(725\) | − | 459.191i | − | 0.633368i | ||||||
\(726\) | −729.105 | − | 122.148i | −1.00428 | − | 0.168248i | ||||
\(727\) | 247.572 | 0.340539 | 0.170269 | − | 0.985398i | \(-0.445536\pi\) | ||||
0.170269 | + | 0.985398i | \(0.445536\pi\) | |||||||
\(728\) | − | 551.229i | − | 0.757183i | ||||||
\(729\) | −396.369 | − | 611.827i | −0.543717 | − | 0.839269i | ||||
\(730\) | −1084.41 | −1.48550 | ||||||||
\(731\) | − | 925.865i | − | 1.26657i | ||||||
\(732\) | −5.77555 | + | 34.4745i | −0.00789010 | + | 0.0470964i | ||||
\(733\) | −19.4805 | −0.0265763 | −0.0132882 | − | 0.999912i | \(-0.504230\pi\) | ||||
−0.0132882 | + | 0.999912i | \(0.504230\pi\) | |||||||
\(734\) | − | 571.076i | − | 0.778033i | ||||||
\(735\) | 972.510 | + | 162.926i | 1.32314 | + | 0.221667i | ||||
\(736\) | 220.481 | 0.299567 | ||||||||
\(737\) | − | 1257.97i | − | 1.70688i | ||||||
\(738\) | −329.599 | − | 113.625i | −0.446611 | − | 0.153963i | ||||
\(739\) | −633.173 | −0.856798 | −0.428399 | − | 0.903590i | \(-0.640922\pi\) | ||||
−0.428399 | + | 0.903590i | \(0.640922\pi\) | |||||||
\(740\) | − | 542.457i | − | 0.733050i | ||||||
\(741\) | 115.797 | − | 691.197i | 0.156271 | − | 0.932790i | ||||
\(742\) | 190.361 | 0.256552 | ||||||||
\(743\) | − | 872.511i | − | 1.17431i | −0.809475 | − | 0.587154i | \(-0.800248\pi\) | ||
0.809475 | − | 0.587154i | \(-0.199752\pi\) | |||||||
\(744\) | −261.990 | − | 43.8914i | −0.352137 | − | 0.0589939i | ||||
\(745\) | −1898.80 | −2.54872 | ||||||||
\(746\) | − | 461.214i | − | 0.618250i | ||||||
\(747\) | 95.5714 | − | 277.229i | 0.127940 | − | 0.371124i | ||||
\(748\) | 518.025 | 0.692547 | ||||||||
\(749\) | 384.755i | 0.513692i | ||||||||
\(750\) | −191.418 | + | 1142.58i | −0.255224 | + | 1.52344i | ||||
\(751\) | −290.059 | −0.386231 | −0.193115 | − | 0.981176i | \(-0.561859\pi\) | ||||
−0.193115 | + | 0.981176i | \(0.561859\pi\) | |||||||
\(752\) | 47.0207i | 0.0625275i | ||||||||
\(753\) | 642.099 | + | 107.571i | 0.852721 | + | 0.142857i | ||||
\(754\) | 246.650 | 0.327121 | ||||||||
\(755\) | 1120.02i | 1.48348i | ||||||||
\(756\) | 238.699 | − | 439.054i | 0.315740 | − | 0.580759i | ||||
\(757\) | −476.723 | −0.629753 | −0.314877 | − | 0.949133i | \(-0.601963\pi\) | ||||
−0.314877 | + | 0.949133i | \(0.601963\pi\) | |||||||
\(758\) | 565.609i | 0.746186i | ||||||||
\(759\) | 331.967 | − | 1981.53i | 0.437375 | − | 2.61071i | ||||
\(760\) | −281.419 | −0.370288 | ||||||||
\(761\) | 276.469i | 0.363297i | 0.983364 | + | 0.181648i | \(0.0581433\pi\) | ||||
−0.983364 | + | 0.181648i | \(0.941857\pi\) | |||||||
\(762\) | −875.260 | − | 146.633i | −1.14863 | − | 0.192432i | ||||
\(763\) | 1027.33 | 1.34644 | ||||||||
\(764\) | 599.417i | 0.784577i | ||||||||
\(765\) | −1150.36 | − | 396.573i | −1.50374 | − | 0.518396i | ||||
\(766\) | 679.832 | 0.887509 | ||||||||
\(767\) | 161.755i | 0.210893i | ||||||||
\(768\) | −7.93096 | + | 47.3403i | −0.0103268 | + | 0.0616410i | ||||
\(769\) | 1471.81 | 1.91392 | 0.956962 | − | 0.290213i | \(-0.0937260\pi\) | ||||
0.956962 | + | 0.290213i | \(0.0937260\pi\) | |||||||
\(770\) | 2017.03i | 2.61952i | ||||||||
\(771\) | −191.954 | − | 32.1583i | −0.248968 | − | 0.0417098i | ||||
\(772\) | −360.911 | −0.467501 | ||||||||
\(773\) | 32.5620i | 0.0421241i | 0.999778 | + | 0.0210621i | \(0.00670476\pi\) | ||||
−0.999778 | + | 0.0210621i | \(0.993295\pi\) | |||||||
\(774\) | 254.789 | − | 739.082i | 0.329185 | − | 0.954886i | ||||
\(775\) | −1735.76 | −2.23969 | ||||||||
\(776\) | − | 251.203i | − | 0.323716i | ||||||
\(777\) | −138.723 | + | 828.042i | −0.178536 | + | 1.06569i | ||||
\(778\) | −775.358 | −0.996604 | ||||||||
\(779\) | − | 303.859i | − | 0.390063i | ||||||
\(780\) | −1117.69 | − | 187.248i | −1.43294 | − | 0.240061i | ||||
\(781\) | −792.307 | −1.01448 | ||||||||
\(782\) | 830.883i | 1.06251i | ||||||||
\(783\) | 196.456 | + | 106.807i | 0.250902 | + | 0.136407i | ||||
\(784\) | 146.587 | 0.186973 | ||||||||
\(785\) | − | 969.631i | − | 1.23520i | ||||||
\(786\) | −83.2406 | + | 496.867i | −0.105904 | + | 0.632146i | ||||
\(787\) | 393.069 | 0.499453 | 0.249726 | − | 0.968316i | \(-0.419659\pi\) | ||||
0.249726 | + | 0.968316i | \(0.419659\pi\) | |||||||
\(788\) | − | 422.723i | − | 0.536451i | ||||||
\(789\) | 311.524 | + | 52.1900i | 0.394834 | + | 0.0661470i | ||||
\(790\) | 174.859 | 0.221340 | ||||||||
\(791\) | 7.84485i | 0.00991763i | ||||||||
\(792\) | 413.519 | + | 142.555i | 0.522120 | + | 0.179994i | ||||
\(793\) | −122.685 | −0.154709 | ||||||||
\(794\) | − | 437.183i | − | 0.550609i | ||||||
\(795\) | 64.6641 | − | 385.983i | 0.0813385 | − | 0.485513i | ||||
\(796\) | 747.928 | 0.939608 | ||||||||
\(797\) | 1038.05i | 1.30244i | 0.758887 | + | 0.651222i | \(0.225743\pi\) | ||||
−0.758887 | + | 0.651222i | \(0.774257\pi\) | |||||||
\(798\) | 429.576 | + | 71.9673i | 0.538316 | + | 0.0901846i | ||||
\(799\) | −177.197 | −0.221774 | ||||||||
\(800\) | 313.643i | 0.392054i | ||||||||
\(801\) | −96.4269 | + | 279.711i | −0.120383 | + | 0.349202i | ||||
\(802\) | −133.216 | −0.166105 | ||||||||
\(803\) | 1469.00i | 1.82940i | ||||||||
\(804\) | −72.5793 | + | 433.229i | −0.0902727 | + | 0.538842i | ||||
\(805\) | −3235.20 | −4.01888 | ||||||||
\(806\) | − | 932.344i | − | 1.15675i | ||||||
\(807\) | 945.114 | + | 158.336i | 1.17114 | + | 0.196203i | ||||
\(808\) | −61.2958 | −0.0758612 | ||||||||
\(809\) | − | 9.99580i | − | 0.0123557i | −0.999981 | − | 0.00617787i | \(-0.998034\pi\) | ||
0.999981 | − | 0.00617787i | \(-0.00196649\pi\) | |||||||
\(810\) | −809.156 | − | 633.138i | −0.998958 | − | 0.781651i | ||||
\(811\) | −138.464 | −0.170732 | −0.0853660 | − | 0.996350i | \(-0.527206\pi\) | ||||
−0.0853660 | + | 0.996350i | \(0.527206\pi\) | |||||||
\(812\) | 153.292i | 0.188783i | ||||||||
\(813\) | 68.1487 | − | 406.783i | 0.0838237 | − | 0.500348i | ||||
\(814\) | −734.842 | −0.902754 | ||||||||
\(815\) | − | 943.511i | − | 1.15768i | ||||||
\(816\) | −178.402 | − | 29.8878i | −0.218629 | − | 0.0366272i | ||||
\(817\) | 681.364 | 0.833983 | ||||||||
\(818\) | 421.501i | 0.515282i | ||||||||
\(819\) | 1658.23 | + | 571.655i | 2.02470 | + | 0.697991i | ||||
\(820\) | −491.351 | −0.599208 | ||||||||
\(821\) | − | 468.862i | − | 0.571087i | −0.958366 | − | 0.285543i | \(-0.907826\pi\) | ||
0.958366 | − | 0.285543i | \(-0.0921741\pi\) | |||||||
\(822\) | −137.674 | + | 821.784i | −0.167487 | + | 0.999737i | ||||
\(823\) | −1124.68 | −1.36656 | −0.683281 | − | 0.730156i | \(-0.739448\pi\) | ||||
−0.683281 | + | 0.730156i | \(0.739448\pi\) | |||||||
\(824\) | 311.754i | 0.378342i | ||||||||
\(825\) | 2818.80 | + | 472.236i | 3.41672 | + | 0.572407i | ||||
\(826\) | −100.530 | −0.121707 | ||||||||
\(827\) | 13.5524i | 0.0163875i | 0.999966 | + | 0.00819373i | \(0.00260817\pi\) | ||||
−0.999966 | + | 0.00819373i | \(0.997392\pi\) | |||||||
\(828\) | −228.651 | + | 663.261i | −0.276149 | + | 0.801040i | ||||
\(829\) | −926.205 | −1.11726 | −0.558628 | − | 0.829418i | \(-0.688672\pi\) | ||||
−0.558628 | + | 0.829418i | \(0.688672\pi\) | |||||||
\(830\) | − | 413.281i | − | 0.497929i | ||||||
\(831\) | 15.4877 | − | 92.4466i | 0.0186374 | − | 0.111247i | ||||
\(832\) | −168.470 | −0.202488 | ||||||||
\(833\) | 552.411i | 0.663159i | ||||||||
\(834\) | 19.0430 | + | 3.19029i | 0.0228333 | + | 0.00382528i | ||||
\(835\) | −305.731 | −0.366145 | ||||||||
\(836\) | 381.226i | 0.456011i | ||||||||
\(837\) | 403.734 | − | 742.611i | 0.482358 | − | 0.887230i | ||||
\(838\) | −923.209 | −1.10168 | ||||||||
\(839\) | 1422.04i | 1.69492i | 0.530858 | + | 0.847461i | \(0.321870\pi\) | ||||
−0.530858 | + | 0.847461i | \(0.678130\pi\) | |||||||
\(840\) | 116.374 | − | 694.640i | 0.138540 | − | 0.826952i | ||||
\(841\) | 772.409 | 0.918441 | ||||||||
\(842\) | − | 461.582i | − | 0.548197i | ||||||
\(843\) | −676.815 | − | 113.388i | −0.802865 | − | 0.134505i | ||||
\(844\) | −327.969 | −0.388589 | ||||||||
\(845\) | − | 2461.75i | − | 2.91331i | ||||||
\(846\) | −141.450 | − | 48.7630i | −0.167198 | − | 0.0576395i | ||||
\(847\) | 1612.58 | 1.90387 | ||||||||
\(848\) | − | 58.1793i | − | 0.0686077i | ||||||
\(849\) | −25.9370 | + | 154.819i | −0.0305501 | + | 0.182355i | ||||
\(850\) | −1181.96 | −1.39054 | ||||||||
\(851\) | − | 1178.65i | − | 1.38501i | ||||||
\(852\) | 272.861 | + | 45.7127i | 0.320260 | + | 0.0536534i | ||||
\(853\) | −1583.36 | −1.85622 | −0.928112 | − | 0.372302i | \(-0.878568\pi\) | ||||
−0.928112 | + | 0.372302i | \(0.878568\pi\) | |||||||
\(854\) | − | 76.2479i | − | 0.0892833i | ||||||
\(855\) | 291.847 | − | 846.576i | 0.341341 | − | 0.990148i | ||||
\(856\) | 117.591 | 0.137373 | ||||||||
\(857\) | 828.183i | 0.966375i | 0.875517 | + | 0.483187i | \(0.160521\pi\) | ||||
−0.875517 | + | 0.483187i | \(0.839479\pi\) | |||||||
\(858\) | −253.656 | + | 1514.09i | −0.295637 | + | 1.76467i | ||||
\(859\) | 1024.09 | 1.19218 | 0.596092 | − | 0.802916i | \(-0.296719\pi\) | ||||
0.596092 | + | 0.802916i | \(0.296719\pi\) | |||||||
\(860\) | − | 1101.79i | − | 1.28115i | ||||||
\(861\) | 750.030 | + | 125.653i | 0.871115 | + | 0.145939i | ||||
\(862\) | 606.211 | 0.703261 | ||||||||
\(863\) | 1075.84i | 1.24663i | 0.781972 | + | 0.623314i | \(0.214214\pi\) | ||||
−0.781972 | + | 0.623314i | \(0.785786\pi\) | |||||||
\(864\) | −134.186 | − | 72.9526i | −0.155308 | − | 0.0844359i | ||||
\(865\) | 867.459 | 1.00284 | ||||||||
\(866\) | − | 889.671i | − | 1.02733i | ||||||
\(867\) | −30.6210 | + | 182.778i | −0.0353183 | + | 0.210816i | ||||
\(868\) | 579.448 | 0.667567 | ||||||||
\(869\) | − | 236.873i | − | 0.272581i | ||||||
\(870\) | 310.819 | + | 52.0718i | 0.357263 | + | 0.0598527i | ||||
\(871\) | −1541.73 | −1.77007 | ||||||||
\(872\) | − | 313.980i | − | 0.360069i | ||||||
\(873\) | 755.681 | + | 260.512i | 0.865614 | + | 0.298410i | ||||
\(874\) | −611.465 | −0.699616 | ||||||||
\(875\) | − | 2527.07i | − | 2.88808i | ||||||
\(876\) | 84.7552 | − | 505.908i | 0.0967525 | − | 0.577520i | ||||
\(877\) | 886.449 | 1.01077 | 0.505387 | − | 0.862893i | \(-0.331350\pi\) | ||||
0.505387 | + | 0.862893i | \(0.331350\pi\) | |||||||
\(878\) | 116.634i | 0.132840i | ||||||||
\(879\) | −560.584 | − | 93.9152i | −0.637752 | − | 0.106843i | ||||
\(880\) | 616.455 | 0.700517 | ||||||||
\(881\) | 617.391i | 0.700785i | 0.936603 | + | 0.350392i | \(0.113952\pi\) | ||||
−0.936603 | + | 0.350392i | \(0.886048\pi\) | |||||||
\(882\) | −152.018 | + | 440.968i | −0.172356 | + | 0.499964i | ||||
\(883\) | 1190.97 | 1.34878 | 0.674391 | − | 0.738374i | \(-0.264406\pi\) | ||||
0.674391 | + | 0.738374i | \(0.264406\pi\) | |||||||
\(884\) | − | 634.878i | − | 0.718188i | ||||||
\(885\) | −34.1492 | + | 203.838i | −0.0385867 | + | 0.230326i | ||||
\(886\) | 526.830 | 0.594617 | ||||||||
\(887\) | − | 634.814i | − | 0.715686i | −0.933782 | − | 0.357843i | \(-0.883512\pi\) | ||
0.933782 | − | 0.357843i | \(-0.116488\pi\) | |||||||
\(888\) | 253.071 | + | 42.3972i | 0.284990 | + | 0.0477446i | ||||
\(889\) | 1935.83 | 2.17753 | ||||||||
\(890\) | 416.980i | 0.468517i | ||||||||
\(891\) | −857.683 | + | 1096.13i | −0.962607 | + | 1.23022i | ||||
\(892\) | −671.900 | −0.753251 | ||||||||
\(893\) | − | 130.403i | − | 0.146028i | ||||||
\(894\) | 148.405 | − | 885.839i | 0.166002 | − | 0.990871i | ||||
\(895\) | −313.457 | −0.350231 | ||||||||
\(896\) | − | 104.703i | − | 0.116856i | ||||||
\(897\) | −2428.51 | − | 406.850i | −2.70737 | − | 0.453568i | ||||
\(898\) | −572.731 | −0.637785 | ||||||||
\(899\) | 259.276i | 0.288405i | ||||||||
\(900\) | −943.514 | − | 325.265i | −1.04835 | − | 0.361405i | ||||
\(901\) | 219.248 | 0.243339 | ||||||||
\(902\) | 665.611i | 0.737927i | ||||||||
\(903\) | −281.761 | + | 1681.84i | −0.312028 | + | 1.86251i | ||||
\(904\) | 2.39759 | 0.00265220 | ||||||||
\(905\) | − | 805.474i | − | 0.890027i | ||||||
\(906\) | −522.521 | − | 87.5385i | −0.576734 | − | 0.0966209i | ||||
\(907\) | 1216.61 | 1.34136 | 0.670678 | − | 0.741749i | \(-0.266003\pi\) | ||||
0.670678 | + | 0.741749i | \(0.266003\pi\) | |||||||
\(908\) | 755.162i | 0.831676i | ||||||||
\(909\) | 63.5671 | − | 184.393i | 0.0699308 | − | 0.202852i | ||||
\(910\) | 2472.02 | 2.71650 | ||||||||
\(911\) | − | 323.799i | − | 0.355432i | −0.984082 | − | 0.177716i | \(-0.943129\pi\) | ||
0.984082 | − | 0.177716i | \(-0.0568709\pi\) | |||||||
\(912\) | 21.9951 | − | 131.290i | 0.0241174 | − | 0.143958i | ||||
\(913\) | −559.853 | −0.613202 | ||||||||
\(914\) | 621.638i | 0.680129i | ||||||||
\(915\) | −154.603 | − | 25.9008i | −0.168965 | − | 0.0283068i | ||||
\(916\) | 537.947 | 0.587278 | ||||||||
\(917\) | − | 1098.93i | − | 1.19840i | ||||||
\(918\) | 274.922 | − | 505.680i | 0.299479 | − | 0.550849i | ||||
\(919\) | −261.983 | −0.285074 | −0.142537 | − | 0.989789i | \(-0.545526\pi\) | ||||
−0.142537 | + | 0.989789i | \(0.545526\pi\) | |||||||
\(920\) | 988.760i | 1.07474i | ||||||||
\(921\) | 133.974 | − | 799.695i | 0.145466 | − | 0.868290i | ||||
\(922\) | 195.111 | 0.211617 | ||||||||
\(923\) | 971.031i | 1.05204i | ||||||||
\(924\) | −940.997 | − | 157.646i | −1.01840 | − | 0.170613i | ||||
\(925\) | 1676.67 | 1.81261 | ||||||||
\(926\) | 664.531i | 0.717636i | ||||||||
\(927\) | −937.831 | − | 323.306i | −1.01168 | − | 0.348765i | ||||
\(928\) | 46.8498 | 0.0504847 | ||||||||
\(929\) | 33.3561i | 0.0359054i | 0.999839 | + | 0.0179527i | \(0.00571482\pi\) | ||||
−0.999839 | + | 0.0179527i | \(0.994285\pi\) | |||||||
\(930\) | 196.833 | − | 1174.91i | 0.211649 | − | 1.26334i | ||||
\(931\) | −406.531 | −0.436661 | ||||||||
\(932\) | − | 913.916i | − | 0.980597i | ||||||
\(933\) | 758.196 | + | 127.021i | 0.812643 | + | 0.136143i | ||||
\(934\) | −411.504 | −0.440583 | ||||||||
\(935\) | 2323.11i | 2.48461i | ||||||||
\(936\) | 174.712 | − | 506.798i | 0.186658 | − | 0.541451i | ||||
\(937\) | 1559.52 | 1.66437 | 0.832187 | − | 0.554495i | \(-0.187089\pi\) | ||||
0.832187 | + | 0.554495i | \(0.187089\pi\) | |||||||
\(938\) | − | 958.180i | − | 1.02151i | ||||||
\(939\) | 222.742 | − | 1329.56i | 0.237212 | − | 1.41593i | ||||
\(940\) | −210.867 | −0.224326 | ||||||||
\(941\) | 209.615i | 0.222757i | 0.993778 | + | 0.111379i | \(0.0355266\pi\) | ||||
−0.993778 | + | 0.111379i | \(0.964473\pi\) | |||||||
\(942\) | 452.359 | + | 75.7842i | 0.480211 | + | 0.0804503i | ||||
\(943\) | −1067.60 | −1.13213 | ||||||||
\(944\) | 30.7246i | 0.0325472i | ||||||||
\(945\) | 1968.96 | + | 1070.46i | 2.08355 | + | 1.13276i | ||||
\(946\) | −1492.54 | −1.57774 | ||||||||
\(947\) | − | 449.642i | − | 0.474807i | −0.971411 | − | 0.237404i | \(-0.923704\pi\) | ||
0.971411 | − | 0.237404i | \(-0.0762964\pi\) | |||||||
\(948\) | −13.6665 | + | 81.5762i | −0.0144162 | + | 0.0860509i | ||||
\(949\) | 1800.37 | 1.89713 | ||||||||
\(950\) | − | 869.831i | − | 0.915612i | ||||||
\(951\) | −1499.57 | − | 251.225i | −1.57684 | − | 0.264169i | ||||
\(952\) | 394.574 | 0.414468 | ||||||||
\(953\) | 792.988i | 0.832096i | 0.909343 | + | 0.416048i | \(0.136585\pi\) | ||||
−0.909343 | + | 0.416048i | \(0.863415\pi\) | |||||||
\(954\) | 175.017 | + | 60.3351i | 0.183456 | + | 0.0632443i | ||||
\(955\) | −2688.12 | −2.81478 | ||||||||
\(956\) | − | 523.299i | − | 0.547384i | ||||||
\(957\) | 70.5394 | − | 421.053i | 0.0737088 | − | 0.439971i | ||||
\(958\) | −216.259 | −0.225740 | ||||||||
\(959\) | − | 1817.55i | − | 1.89526i | ||||||
\(960\) | −212.300 | − | 35.5668i | −0.221146 | − | 0.0370487i | ||||
\(961\) | 19.0724 | 0.0198464 | ||||||||
\(962\) | 900.603i | 0.936178i | ||||||||
\(963\) | −121.948 | + | 353.742i | −0.126634 | + | 0.367333i | ||||
\(964\) | 107.976 | 0.112009 | ||||||||
\(965\) | − | 1618.52i | − | 1.67723i | ||||||
\(966\) | 252.856 | − | 1509.31i | 0.261755 | − | 1.56243i | ||||
\(967\) | −678.072 | −0.701212 | −0.350606 | − | 0.936523i | \(-0.614024\pi\) | ||||
−0.350606 | + | 0.936523i | \(0.614024\pi\) | |||||||
\(968\) | − | 492.844i | − | 0.509137i | ||||||
\(969\) | 494.764 | + | 82.8883i | 0.510592 | + | 0.0855400i | ||||
\(970\) | 1126.53 | 1.16138 | ||||||||
\(971\) | 1536.49i | 1.58237i | 0.611574 | + | 0.791187i | \(0.290537\pi\) | ||||
−0.611574 | + | 0.791187i | \(0.709463\pi\) | |||||||
\(972\) | 358.617 | − | 328.008i | 0.368948 | − | 0.337457i | ||||
\(973\) | −42.1176 | −0.0432864 | ||||||||
\(974\) | − | 867.101i | − | 0.890248i | ||||||
\(975\) | 578.760 | − | 3454.64i | 0.593600 | − | 3.54323i | ||||
\(976\) | −23.3033 | −0.0238764 | ||||||||
\(977\) | 952.883i | 0.975315i | 0.873035 | + | 0.487657i | \(0.162148\pi\) | ||||
−0.873035 | + | 0.487657i | \(0.837852\pi\) | |||||||
\(978\) | 440.173 | + | 73.7427i | 0.450075 | + | 0.0754015i | ||||
\(979\) | 564.864 | 0.576981 | ||||||||
\(980\) | 657.375i | 0.670791i | ||||||||
\(981\) | 944.527 | + | 325.614i | 0.962821 | + | 0.331920i | ||||
\(982\) | −1134.74 | −1.15554 | ||||||||
\(983\) | 117.064i | 0.119088i | 0.998226 | + | 0.0595441i | \(0.0189647\pi\) | ||||
−0.998226 | + | 0.0595441i | \(0.981035\pi\) | |||||||
\(984\) | 38.4028 | − | 229.228i | 0.0390273 | − | 0.232956i | ||||
\(985\) | 1895.72 | 1.92459 | ||||||||
\(986\) | 176.553i | 0.179060i | ||||||||
\(987\) | 321.881 | + | 53.9250i | 0.326120 | + | 0.0546352i | ||||
\(988\) | 467.220 | 0.472895 | ||||||||
\(989\) | − | 2393.96i | − | 2.42059i | ||||||
\(990\) | −639.297 | + | 1854.45i | −0.645755 | + | 1.87318i | ||||
\(991\) | −1235.30 | −1.24652 | −0.623258 | − | 0.782016i | \(-0.714191\pi\) | ||||
−0.623258 | + | 0.782016i | \(0.714191\pi\) | |||||||
\(992\) | − | 177.094i | − | 0.178522i | ||||||
\(993\) | −90.8883 | + | 542.516i | −0.0915290 | + | 0.546341i | ||||
\(994\) | −603.492 | −0.607134 | ||||||||
\(995\) | 3354.12i | 3.37097i | ||||||||
\(996\) | 192.807 | + | 32.3011i | 0.193581 | + | 0.0324308i | ||||
\(997\) | 580.760 | 0.582507 | 0.291254 | − | 0.956646i | \(-0.405928\pi\) | ||||
0.291254 | + | 0.956646i | \(0.405928\pi\) | |||||||
\(998\) | − | 906.792i | − | 0.908609i | ||||||
\(999\) | −389.989 | + | 717.330i | −0.390380 | + | 0.718048i |
(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 | 354.3.b.a.119.9 | ✓ | 40 | |
3.2 | odd | 2 | inner | 354.3.b.a.119.29 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.3.b.a.119.9 | ✓ | 40 | 1.1 | even | 1 | trivial | |
354.3.b.a.119.29 | yes | 40 | 3.2 | odd | 2 | inner |