Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(301,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.301");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.k (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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Coefficient field: | 12.0.180227832610816.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + x^{10} - 8x^{6} + 16x^{2} + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{8} \) |
Twist minimal: | no (minimal twist has level 120) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 301.5 | ||
Root | \(-0.450129 - 1.34067i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.301 |
Dual form | 600.2.k.f.301.6 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.450129 | − | 1.34067i | −0.318290 | − | 0.947994i | ||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −1.59477 | + | 1.20695i | −0.797384 | + | 0.603473i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −1.34067 | + | 0.450129i | −0.547324 | + | 0.183765i | ||||
\(7\) | 2.64265 | 0.998827 | 0.499414 | − | 0.866364i | \(-0.333549\pi\) | ||||
0.499414 | + | 0.866364i | \(0.333549\pi\) | |||||||
\(8\) | 2.33596 | + | 1.59477i | 0.825887 | + | 0.563835i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.51363i | 0.456377i | 0.973617 | + | 0.228189i | \(0.0732803\pi\) | ||||
−0.973617 | + | 0.228189i | \(0.926720\pi\) | |||||||
\(12\) | 1.20695 | + | 1.59477i | 0.348415 | + | 0.460370i | ||||
\(13\) | − | 3.87086i | − | 1.07358i | −0.843714 | − | 0.536792i | \(-0.819636\pi\) | ||
0.843714 | − | 0.536792i | \(-0.180364\pi\) | |||||||
\(14\) | −1.18953 | − | 3.54291i | −0.317916 | − | 0.946882i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.08656 | − | 3.84959i | 0.271641 | − | 0.962399i | ||||
\(17\) | 3.31415 | 0.803800 | 0.401900 | − | 0.915684i | \(-0.368350\pi\) | ||||
0.401900 | + | 0.915684i | \(0.368350\pi\) | |||||||
\(18\) | 0.450129 | + | 1.34067i | 0.106097 | + | 0.315998i | ||||
\(19\) | − | 7.08582i | − | 1.62560i | −0.582545 | − | 0.812799i | \(-0.697943\pi\) | ||
0.582545 | − | 0.812799i | \(-0.302057\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 2.64265i | − | 0.576673i | ||||||
\(22\) | 2.02927 | − | 0.681331i | 0.432643 | − | 0.145260i | ||||
\(23\) | 4.82778 | 1.00666 | 0.503331 | − | 0.864094i | \(-0.332108\pi\) | ||||
0.503331 | + | 0.864094i | \(0.332108\pi\) | |||||||
\(24\) | 1.59477 | − | 2.33596i | 0.325530 | − | 0.476826i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −5.18953 | + | 1.74239i | −1.01775 | + | 0.341711i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −4.21441 | + | 3.18953i | −0.796448 | + | 0.602765i | ||||
\(29\) | 2.18513i | 0.405769i | 0.979203 | + | 0.202885i | \(0.0650316\pi\) | ||||
−0.979203 | + | 0.202885i | \(0.934968\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.36266 | −1.32237 | −0.661187 | − | 0.750222i | \(-0.729947\pi\) | ||||
−0.661187 | + | 0.750222i | \(0.729947\pi\) | |||||||
\(32\) | −5.65011 | + | 0.276098i | −0.998808 | + | 0.0488076i | ||||
\(33\) | 1.51363 | 0.263490 | ||||||||
\(34\) | −1.49180 | − | 4.44317i | −0.255841 | − | 0.761997i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.59477 | − | 1.20695i | 0.265795 | − | 0.201158i | ||||
\(37\) | − | 7.87086i | − | 1.29396i | −0.762506 | − | 0.646981i | \(-0.776031\pi\) | ||
0.762506 | − | 0.646981i | \(-0.223969\pi\) | |||||||
\(38\) | −9.49971 | + | 3.18953i | −1.54106 | + | 0.517411i | ||||
\(39\) | −3.87086 | −0.619834 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 8.72532 | 1.36267 | 0.681333 | − | 0.731973i | \(-0.261400\pi\) | ||||
0.681333 | + | 0.731973i | \(0.261400\pi\) | |||||||
\(42\) | −3.54291 | + | 1.18953i | −0.546683 | + | 0.183549i | ||||
\(43\) | − | 1.01641i | − | 0.155001i | −0.996992 | − | 0.0775003i | \(-0.975306\pi\) | ||
0.996992 | − | 0.0775003i | \(-0.0246939\pi\) | |||||||
\(44\) | −1.82687 | − | 2.41389i | −0.275411 | − | 0.363908i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.17313 | − | 6.47244i | −0.320410 | − | 0.954309i | ||||
\(47\) | −7.08582 | −1.03357 | −0.516786 | − | 0.856114i | \(-0.672872\pi\) | ||||
−0.516786 | + | 0.856114i | \(0.672872\pi\) | |||||||
\(48\) | −3.84959 | − | 1.08656i | −0.555641 | − | 0.156832i | ||||
\(49\) | −0.0164068 | −0.00234382 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − | 3.31415i | − | 0.464074i | ||||||
\(52\) | 4.67192 | + | 6.17313i | 0.647879 | + | 0.856059i | ||||
\(53\) | − | 4.50820i | − | 0.619249i | −0.950859 | − | 0.309625i | \(-0.899797\pi\) | ||
0.950859 | − | 0.309625i | \(-0.100203\pi\) | |||||||
\(54\) | 1.34067 | − | 0.450129i | 0.182441 | − | 0.0612549i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 6.17313 | + | 4.21441i | 0.824919 | + | 0.563174i | ||||
\(57\) | −7.08582 | −0.938539 | ||||||||
\(58\) | 2.92953 | − | 0.983593i | 0.384667 | − | 0.129152i | ||||
\(59\) | 6.79893i | 0.885145i | 0.896733 | + | 0.442573i | \(0.145934\pi\) | ||||
−0.896733 | + | 0.442573i | \(0.854066\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.60104i | 0.461065i | 0.973065 | + | 0.230533i | \(0.0740469\pi\) | ||||
−0.973065 | + | 0.230533i | \(0.925953\pi\) | |||||||
\(62\) | 3.31415 | + | 9.87086i | 0.420898 | + | 1.25360i | ||||
\(63\) | −2.64265 | −0.332942 | ||||||||
\(64\) | 2.91344 | + | 7.45063i | 0.364180 | + | 0.931329i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.681331 | − | 2.02927i | −0.0838660 | − | 0.249786i | ||||
\(67\) | − | 1.01641i | − | 0.124174i | −0.998071 | − | 0.0620869i | \(-0.980224\pi\) | ||
0.998071 | − | 0.0620869i | \(-0.0197756\pi\) | |||||||
\(68\) | −5.28530 | + | 4.00000i | −0.640937 | + | 0.485071i | ||||
\(69\) | − | 4.82778i | − | 0.581197i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −6.72532 | −0.798149 | −0.399074 | − | 0.916919i | \(-0.630669\pi\) | ||||
−0.399074 | + | 0.916919i | \(0.630669\pi\) | |||||||
\(72\) | −2.33596 | − | 1.59477i | −0.275296 | − | 0.187945i | ||||
\(73\) | 15.5146 | 1.81585 | 0.907925 | − | 0.419132i | \(-0.137666\pi\) | ||||
0.907925 | + | 0.419132i | \(0.137666\pi\) | |||||||
\(74\) | −10.5522 | + | 3.54291i | −1.22667 | + | 0.411855i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.55220 | + | 11.3002i | 0.981004 | + | 1.29622i | ||||
\(77\) | 4.00000i | 0.455842i | ||||||||
\(78\) | 1.74239 | + | 5.18953i | 0.197287 | + | 0.587599i | ||||
\(79\) | −7.36266 | −0.828364 | −0.414182 | − | 0.910194i | \(-0.635932\pi\) | ||||
−0.414182 | + | 0.910194i | \(0.635932\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −3.92752 | − | 11.6977i | −0.433723 | − | 1.29180i | ||||
\(83\) | − | 7.74173i | − | 0.849765i | −0.905248 | − | 0.424883i | \(-0.860315\pi\) | ||
0.905248 | − | 0.424883i | \(-0.139685\pi\) | |||||||
\(84\) | 3.18953 | + | 4.21441i | 0.348007 | + | 0.459830i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.36266 | + | 0.457515i | −0.146940 | + | 0.0493351i | ||||
\(87\) | 2.18513 | 0.234271 | ||||||||
\(88\) | −2.41389 | + | 3.53579i | −0.257322 | + | 0.376916i | ||||
\(89\) | 14.7581 | 1.56436 | 0.782180 | − | 0.623053i | \(-0.214108\pi\) | ||||
0.782180 | + | 0.623053i | \(0.214108\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 10.2293i | − | 1.07233i | ||||||
\(92\) | −7.69919 | + | 5.82687i | −0.802696 | + | 0.607493i | ||||
\(93\) | 7.36266i | 0.763472i | ||||||||
\(94\) | 3.18953 | + | 9.49971i | 0.328975 | + | 0.979820i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0.276098 | + | 5.65011i | 0.0281791 | + | 0.576662i | ||||
\(97\) | 11.1444 | 1.13154 | 0.565769 | − | 0.824563i | \(-0.308579\pi\) | ||||
0.565769 | + | 0.824563i | \(0.308579\pi\) | |||||||
\(98\) | 0.00738516 | + | 0.0219960i | 0.000746014 | + | 0.00222193i | ||||
\(99\) | − | 1.51363i | − | 0.152126i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 13.3295i | 1.32633i | 0.748471 | + | 0.663167i | \(0.230788\pi\) | ||||
−0.748471 | + | 0.663167i | \(0.769212\pi\) | |||||||
\(102\) | −4.44317 | + | 1.49180i | −0.439939 | + | 0.147710i | ||||
\(103\) | −0.958386 | −0.0944326 | −0.0472163 | − | 0.998885i | \(-0.515035\pi\) | ||||
−0.0472163 | + | 0.998885i | \(0.515035\pi\) | |||||||
\(104\) | 6.17313 | − | 9.04219i | 0.605325 | − | 0.886660i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.04399 | + | 2.02927i | −0.587044 | + | 0.197101i | ||||
\(107\) | − | 4.00000i | − | 0.386695i | −0.981130 | − | 0.193347i | \(-0.938066\pi\) | ||
0.981130 | − | 0.193347i | \(-0.0619344\pi\) | |||||||
\(108\) | −1.20695 | − | 1.59477i | −0.116138 | − | 0.153457i | ||||
\(109\) | − | 0.769233i | − | 0.0736792i | −0.999321 | − | 0.0368396i | \(-0.988271\pi\) | ||
0.999321 | − | 0.0368396i | \(-0.0117291\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −7.87086 | −0.747069 | ||||||||
\(112\) | 2.87141 | − | 10.1731i | 0.271322 | − | 0.961270i | ||||
\(113\) | −14.4585 | −1.36014 | −0.680071 | − | 0.733146i | \(-0.738051\pi\) | ||||
−0.680071 | + | 0.733146i | \(0.738051\pi\) | |||||||
\(114\) | 3.18953 | + | 9.49971i | 0.298727 | + | 0.889729i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.63734 | − | 3.48478i | −0.244871 | − | 0.323554i | ||||
\(117\) | 3.87086i | 0.357862i | ||||||||
\(118\) | 9.11509 | − | 3.06040i | 0.839112 | − | 0.281733i | ||||
\(119\) | 8.75814 | 0.802857 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.70892 | 0.791720 | ||||||||
\(122\) | 4.82778 | − | 1.62093i | 0.437087 | − | 0.146752i | ||||
\(123\) | − | 8.72532i | − | 0.786736i | ||||||
\(124\) | 11.7417 | − | 8.88633i | 1.05444 | − | 0.798016i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 1.18953 | + | 3.54291i | 0.105972 | + | 0.315627i | ||||
\(127\) | 11.5290 | 1.02303 | 0.511516 | − | 0.859274i | \(-0.329084\pi\) | ||||
0.511516 | + | 0.859274i | \(0.329084\pi\) | |||||||
\(128\) | 8.67738 | − | 7.25969i | 0.766979 | − | 0.641672i | ||||
\(129\) | −1.01641 | −0.0894896 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 7.37270i | − | 0.644156i | −0.946713 | − | 0.322078i | \(-0.895619\pi\) | ||
0.946713 | − | 0.322078i | \(-0.104381\pi\) | |||||||
\(132\) | −2.41389 | + | 1.82687i | −0.210102 | + | 0.159009i | ||||
\(133\) | − | 18.7253i | − | 1.62369i | ||||||
\(134\) | −1.36266 | + | 0.457515i | −0.117716 | + | 0.0395232i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 7.74173 | + | 5.28530i | 0.663848 | + | 0.453211i | ||||
\(137\) | −3.88792 | −0.332167 | −0.166084 | − | 0.986112i | \(-0.553112\pi\) | ||||
−0.166084 | + | 0.986112i | \(0.553112\pi\) | |||||||
\(138\) | −6.47244 | + | 2.17313i | −0.550971 | + | 0.184989i | ||||
\(139\) | 14.6291i | 1.24083i | 0.784275 | + | 0.620414i | \(0.213035\pi\) | ||||
−0.784275 | + | 0.620414i | \(0.786965\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 7.08582i | 0.596733i | ||||||||
\(142\) | 3.02727 | + | 9.01641i | 0.254042 | + | 0.756640i | ||||
\(143\) | 5.85907 | 0.489960 | ||||||||
\(144\) | −1.08656 | + | 3.84959i | −0.0905470 | + | 0.320800i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −6.98359 | − | 20.7999i | −0.577966 | − | 1.72141i | ||||
\(147\) | 0.0164068i | 0.00135321i | ||||||||
\(148\) | 9.49971 | + | 12.5522i | 0.780871 | + | 1.03178i | ||||
\(149\) | 11.0715i | 0.907010i | 0.891254 | + | 0.453505i | \(0.149827\pi\) | ||||
−0.891254 | + | 0.453505i | \(0.850173\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.637339 | 0.0518659 | 0.0259329 | − | 0.999664i | \(-0.491744\pi\) | ||||
0.0259329 | + | 0.999664i | \(0.491744\pi\) | |||||||
\(152\) | 11.3002 | − | 16.5522i | 0.916569 | − | 1.34256i | ||||
\(153\) | −3.31415 | −0.267933 | ||||||||
\(154\) | 5.36266 | − | 1.80052i | 0.432136 | − | 0.145090i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 6.17313 | − | 4.67192i | 0.494246 | − | 0.374053i | ||||
\(157\) | 0.129135i | 0.0103061i | 0.999987 | + | 0.00515306i | \(0.00164028\pi\) | ||||
−0.999987 | + | 0.00515306i | \(0.998360\pi\) | |||||||
\(158\) | 3.31415 | + | 9.87086i | 0.263660 | + | 0.785284i | ||||
\(159\) | −4.50820 | −0.357524 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 12.7581 | 1.00548 | ||||||||
\(162\) | −0.450129 | − | 1.34067i | −0.0353655 | − | 0.105333i | ||||
\(163\) | 19.4835i | 1.52606i | 0.646362 | + | 0.763031i | \(0.276290\pi\) | ||||
−0.646362 | + | 0.763031i | \(0.723710\pi\) | |||||||
\(164\) | −13.9149 | + | 10.5310i | −1.08657 | + | 0.822332i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −10.3791 | + | 3.48478i | −0.805572 | + | 0.270471i | ||||
\(167\) | 1.80052 | 0.139328 | 0.0696641 | − | 0.997571i | \(-0.477807\pi\) | ||||
0.0696641 | + | 0.997571i | \(0.477807\pi\) | |||||||
\(168\) | 4.21441 | − | 6.17313i | 0.325149 | − | 0.476267i | ||||
\(169\) | −1.98359 | −0.152584 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 7.08582i | 0.541866i | ||||||||
\(172\) | 1.22675 | + | 1.62093i | 0.0935386 | + | 0.123595i | ||||
\(173\) | 23.2335i | 1.76641i | 0.468985 | + | 0.883206i | \(0.344620\pi\) | ||||
−0.468985 | + | 0.883206i | \(0.655380\pi\) | |||||||
\(174\) | −0.983593 | − | 2.92953i | −0.0745660 | − | 0.222087i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 5.82687 | + | 1.64466i | 0.439217 | + | 0.123971i | ||||
\(177\) | 6.79893 | 0.511039 | ||||||||
\(178\) | −6.64307 | − | 19.7857i | −0.497919 | − | 1.48300i | ||||
\(179\) | 2.85664i | 0.213515i | 0.994285 | + | 0.106757i | \(0.0340468\pi\) | ||||
−0.994285 | + | 0.106757i | \(0.965953\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 5.28530i | − | 0.392853i | −0.980519 | − | 0.196427i | \(-0.937066\pi\) | ||
0.980519 | − | 0.196427i | \(-0.0629337\pi\) | |||||||
\(182\) | −13.7141 | + | 4.60453i | −1.01656 | + | 0.341310i | ||||
\(183\) | 3.60104 | 0.266196 | ||||||||
\(184\) | 11.2775 | + | 7.69919i | 0.831390 | + | 0.567592i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 9.87086 | − | 3.31415i | 0.723767 | − | 0.243005i | ||||
\(187\) | 5.01641i | 0.366836i | ||||||||
\(188\) | 11.3002 | − | 8.55220i | 0.824154 | − | 0.623733i | ||||
\(189\) | 2.64265i | 0.192224i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.96719 | −0.431770 | −0.215885 | − | 0.976419i | \(-0.569264\pi\) | ||||
−0.215885 | + | 0.976419i | \(0.569264\pi\) | |||||||
\(192\) | 7.45063 | − | 2.91344i | 0.537703 | − | 0.210259i | ||||
\(193\) | −14.9409 | −1.07547 | −0.537733 | − | 0.843115i | \(-0.680719\pi\) | ||||
−0.537733 | + | 0.843115i | \(0.680719\pi\) | |||||||
\(194\) | −5.01641 | − | 14.9409i | −0.360157 | − | 1.07269i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0261649 | − | 0.0198021i | 0.00186892 | − | 0.00141443i | ||||
\(197\) | 3.23353i | 0.230379i | 0.993344 | + | 0.115190i | \(0.0367476\pi\) | ||||
−0.993344 | + | 0.115190i | \(0.963252\pi\) | |||||||
\(198\) | −2.02927 | + | 0.681331i | −0.144214 | + | 0.0484201i | ||||
\(199\) | −8.12080 | −0.575668 | −0.287834 | − | 0.957680i | \(-0.592935\pi\) | ||||
−0.287834 | + | 0.957680i | \(0.592935\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.01641 | −0.0716918 | ||||||||
\(202\) | 17.8704 | − | 6.00000i | 1.25736 | − | 0.422159i | ||||
\(203\) | 5.77454i | 0.405293i | ||||||||
\(204\) | 4.00000 | + | 5.28530i | 0.280056 | + | 0.370045i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0.431398 | + | 1.28488i | 0.0300569 | + | 0.0895215i | ||||
\(207\) | −4.82778 | −0.335554 | ||||||||
\(208\) | −14.9013 | − | 4.20594i | −1.03322 | − | 0.291630i | ||||
\(209\) | 10.7253 | 0.741886 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.7141i | 0.944119i | 0.881567 | + | 0.472059i | \(0.156489\pi\) | ||||
−0.881567 | + | 0.472059i | \(0.843511\pi\) | |||||||
\(212\) | 5.44116 | + | 7.18953i | 0.373700 | + | 0.493779i | ||||
\(213\) | 6.72532i | 0.460812i | ||||||||
\(214\) | −5.36266 | + | 1.80052i | −0.366584 | + | 0.123081i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.59477 | + | 2.33596i | −0.108510 | + | 0.158942i | ||||
\(217\) | −19.4569 | −1.32082 | ||||||||
\(218\) | −1.03128 | + | 0.346255i | −0.0698474 | + | 0.0234513i | ||||
\(219\) | − | 15.5146i | − | 1.04838i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − | 12.8286i | − | 0.862947i | ||||||
\(222\) | 3.54291 | + | 10.5522i | 0.237784 | + | 0.708217i | ||||
\(223\) | −9.84472 | −0.659251 | −0.329626 | − | 0.944112i | \(-0.606923\pi\) | ||||
−0.329626 | + | 0.944112i | \(0.606923\pi\) | |||||||
\(224\) | −14.9313 | + | 0.729629i | −0.997637 | + | 0.0487504i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.50820 | + | 19.3840i | 0.432919 | + | 1.28941i | ||||
\(227\) | − | 5.70892i | − | 0.378914i | −0.981889 | − | 0.189457i | \(-0.939327\pi\) | ||
0.981889 | − | 0.189457i | \(-0.0606728\pi\) | |||||||
\(228\) | 11.3002 | − | 8.55220i | 0.748376 | − | 0.566383i | ||||
\(229\) | 0.769233i | 0.0508324i | 0.999677 | + | 0.0254162i | \(0.00809109\pi\) | ||||
−0.999677 | + | 0.0254162i | \(0.991909\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.00000 | 0.263181 | ||||||||
\(232\) | −3.48478 | + | 5.10439i | −0.228787 | + | 0.335120i | ||||
\(233\) | 18.4008 | 1.20548 | 0.602739 | − | 0.797939i | \(-0.294076\pi\) | ||||
0.602739 | + | 0.797939i | \(0.294076\pi\) | |||||||
\(234\) | 5.18953 | − | 1.74239i | 0.339250 | − | 0.113904i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −8.20594 | − | 10.8427i | −0.534161 | − | 0.705800i | ||||
\(237\) | 7.36266i | 0.478256i | ||||||||
\(238\) | −3.94229 | − | 11.7417i | −0.255541 | − | 0.761103i | ||||
\(239\) | 10.0328 | 0.648969 | 0.324484 | − | 0.945891i | \(-0.394809\pi\) | ||||
0.324484 | + | 0.945891i | \(0.394809\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.7581 | 0.692992 | 0.346496 | − | 0.938051i | \(-0.387371\pi\) | ||||
0.346496 | + | 0.938051i | \(0.387371\pi\) | |||||||
\(242\) | −3.92014 | − | 11.6757i | −0.251996 | − | 0.750545i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −4.34625 | − | 5.74281i | −0.278240 | − | 0.367646i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −11.6977 | + | 3.92752i | −0.745820 | + | 0.250410i | ||||
\(247\) | −27.4282 | −1.74522 | ||||||||
\(248\) | −17.1989 | − | 11.7417i | −1.09213 | − | 0.745601i | ||||
\(249\) | −7.74173 | −0.490612 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 12.6580i | 0.798966i | 0.916741 | + | 0.399483i | \(0.130810\pi\) | ||||
−0.916741 | + | 0.399483i | \(0.869190\pi\) | |||||||
\(252\) | 4.21441 | − | 3.18953i | 0.265483 | − | 0.200922i | ||||
\(253\) | 7.30749i | 0.459418i | ||||||||
\(254\) | −5.18953 | − | 15.4565i | −0.325620 | − | 0.969827i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.6388 | − | 8.36566i | −0.852422 | − | 0.522854i | ||||
\(257\) | −13.3110 | −0.830316 | −0.415158 | − | 0.909749i | \(-0.636274\pi\) | ||||
−0.415158 | + | 0.909749i | \(0.636274\pi\) | |||||||
\(258\) | 0.457515 | + | 1.36266i | 0.0284836 | + | 0.0848356i | ||||
\(259\) | − | 20.7999i | − | 1.29244i | ||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | − | 2.18513i | − | 0.135256i | ||||||
\(262\) | −9.88432 | + | 3.31867i | −0.610656 | + | 0.205028i | ||||
\(263\) | −18.4256 | −1.13617 | −0.568087 | − | 0.822969i | \(-0.692316\pi\) | ||||
−0.568087 | + | 0.822969i | \(0.692316\pi\) | |||||||
\(264\) | 3.53579 | + | 2.41389i | 0.217613 | + | 0.148565i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −25.1044 | + | 8.42882i | −1.53925 | + | 0.516804i | ||||
\(267\) | − | 14.7581i | − | 0.903183i | ||||||
\(268\) | 1.22675 | + | 1.62093i | 0.0749356 | + | 0.0990142i | ||||
\(269\) | 3.86940i | 0.235921i | 0.993018 | + | 0.117961i | \(0.0376357\pi\) | ||||
−0.993018 | + | 0.117961i | \(0.962364\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.3955 | −1.05670 | −0.528350 | − | 0.849027i | \(-0.677189\pi\) | ||||
−0.528350 | + | 0.849027i | \(0.677189\pi\) | |||||||
\(272\) | 3.60104 | − | 12.7581i | 0.218345 | − | 0.773576i | ||||
\(273\) | −10.2293 | −0.619108 | ||||||||
\(274\) | 1.75007 | + | 5.21240i | 0.105725 | + | 0.314893i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 5.82687 | + | 7.69919i | 0.350737 | + | 0.463437i | ||||
\(277\) | 0.887271i | 0.0533110i | 0.999645 | + | 0.0266555i | \(0.00848571\pi\) | ||||
−0.999645 | + | 0.0266555i | \(0.991514\pi\) | |||||||
\(278\) | 19.6128 | − | 6.58501i | 1.17630 | − | 0.394943i | ||||
\(279\) | 7.36266 | 0.440791 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −13.4835 | −0.804356 | −0.402178 | − | 0.915562i | \(-0.631747\pi\) | ||||
−0.402178 | + | 0.915562i | \(0.631747\pi\) | |||||||
\(282\) | 9.49971 | − | 3.18953i | 0.565699 | − | 0.189934i | ||||
\(283\) | 28.4342i | 1.69024i | 0.534577 | + | 0.845120i | \(0.320471\pi\) | ||||
−0.534577 | + | 0.845120i | \(0.679529\pi\) | |||||||
\(284\) | 10.7253 | − | 8.11710i | 0.636431 | − | 0.481661i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.63734 | − | 7.85505i | −0.155949 | − | 0.464479i | ||||
\(287\) | 23.0580 | 1.36107 | ||||||||
\(288\) | 5.65011 | − | 0.276098i | 0.332936 | − | 0.0162692i | ||||
\(289\) | −6.01641 | −0.353906 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 11.1444i | − | 0.653294i | ||||||
\(292\) | −24.7422 | + | 18.7253i | −1.44793 | + | 1.09582i | ||||
\(293\) | 7.99166i | 0.466878i | 0.972371 | + | 0.233439i | \(0.0749979\pi\) | ||||
−0.972371 | + | 0.233439i | \(0.925002\pi\) | |||||||
\(294\) | 0.0219960 | − | 0.00738516i | 0.00128283 | − | 0.000430711i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 12.5522 | − | 18.3860i | 0.729582 | − | 1.06867i | ||||
\(297\) | −1.51363 | −0.0878299 | ||||||||
\(298\) | 14.8431 | − | 4.98359i | 0.859840 | − | 0.288692i | ||||
\(299\) | − | 18.6877i | − | 1.08074i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | − | 2.68601i | − | 0.154819i | ||||||
\(302\) | −0.286885 | − | 0.854458i | −0.0165084 | − | 0.0491685i | ||||
\(303\) | 13.3295 | 0.765760 | ||||||||
\(304\) | −27.2775 | − | 7.69919i | −1.56447 | − | 0.441579i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 1.49180 | + | 4.44317i | 0.0852803 | + | 0.253999i | ||||
\(307\) | 17.4506i | 0.995961i | 0.867188 | + | 0.497980i | \(0.165925\pi\) | ||||
−0.867188 | + | 0.497980i | \(0.834075\pi\) | |||||||
\(308\) | −4.82778 | − | 6.37907i | −0.275088 | − | 0.363481i | ||||
\(309\) | 0.958386i | 0.0545207i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 21.4506 | 1.21635 | 0.608177 | − | 0.793801i | \(-0.291901\pi\) | ||||
0.608177 | + | 0.793801i | \(0.291901\pi\) | |||||||
\(312\) | −9.04219 | − | 6.17313i | −0.511913 | − | 0.349485i | ||||
\(313\) | −7.73879 | −0.437422 | −0.218711 | − | 0.975790i | \(-0.570185\pi\) | ||||
−0.218711 | + | 0.975790i | \(0.570185\pi\) | |||||||
\(314\) | 0.173127 | − | 0.0581276i | 0.00977014 | − | 0.00328033i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.7417 | − | 8.88633i | 0.660524 | − | 0.499895i | ||||
\(317\) | 11.2335i | 0.630938i | 0.948936 | + | 0.315469i | \(0.102162\pi\) | ||||
−0.948936 | + | 0.315469i | \(0.897838\pi\) | |||||||
\(318\) | 2.02927 | + | 6.04399i | 0.113796 | + | 0.338930i | ||||
\(319\) | −3.30749 | −0.185184 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.00000 | −0.223258 | ||||||||
\(322\) | −5.74281 | − | 17.1044i | −0.320034 | − | 0.953190i | ||||
\(323\) | − | 23.4835i | − | 1.30665i | ||||||
\(324\) | −1.59477 | + | 1.20695i | −0.0885982 | + | 0.0670525i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 26.1208 | − | 8.77008i | 1.44670 | − | 0.485730i | ||||
\(327\) | −0.769233 | −0.0425387 | ||||||||
\(328\) | 20.3820 | + | 13.9149i | 1.12541 | + | 0.768319i | ||||
\(329\) | −18.7253 | −1.03236 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 8.00084i | − | 0.439766i | −0.975526 | − | 0.219883i | \(-0.929432\pi\) | ||
0.975526 | − | 0.219883i | \(-0.0705676\pi\) | |||||||
\(332\) | 9.34385 | + | 12.3463i | 0.512810 | + | 0.677589i | ||||
\(333\) | 7.87086i | 0.431321i | ||||||||
\(334\) | −0.810466 | − | 2.41389i | −0.0443467 | − | 0.132082i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −10.1731 | − | 2.87141i | −0.554990 | − | 0.156648i | ||||
\(337\) | 21.5692 | 1.17495 | 0.587474 | − | 0.809243i | \(-0.300123\pi\) | ||||
0.587474 | + | 0.809243i | \(0.300123\pi\) | |||||||
\(338\) | 0.892874 | + | 2.65933i | 0.0485659 | + | 0.144649i | ||||
\(339\) | 14.4585i | 0.785279i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 11.1444i | − | 0.603501i | ||||||
\(342\) | 9.49971 | − | 3.18953i | 0.513685 | − | 0.172470i | ||||
\(343\) | −18.5419 | −1.00117 | ||||||||
\(344\) | 1.62093 | − | 2.37429i | 0.0873948 | − | 0.128013i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 31.1484 | − | 10.4581i | 1.67455 | − | 0.562231i | ||||
\(347\) | 21.7089i | 1.16540i | 0.812689 | + | 0.582698i | \(0.198003\pi\) | ||||
−0.812689 | + | 0.582698i | \(0.801997\pi\) | |||||||
\(348\) | −3.48478 | + | 2.63734i | −0.186804 | + | 0.141376i | ||||
\(349\) | − | 24.7422i | − | 1.32442i | −0.749318 | − | 0.662211i | \(-0.769618\pi\) | ||
0.749318 | − | 0.662211i | \(-0.230382\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3.87086 | 0.206611 | ||||||||
\(352\) | −0.417910 | − | 8.55220i | −0.0222747 | − | 0.455834i | ||||
\(353\) | −3.31415 | −0.176394 | −0.0881972 | − | 0.996103i | \(-0.528111\pi\) | ||||
−0.0881972 | + | 0.996103i | \(0.528111\pi\) | |||||||
\(354\) | −3.06040 | − | 9.11509i | −0.162658 | − | 0.484462i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −23.5358 | + | 17.8123i | −1.24739 | + | 0.944048i | ||||
\(357\) | − | 8.75814i | − | 0.463530i | ||||||
\(358\) | 3.82979 | − | 1.28586i | 0.202411 | − | 0.0679596i | ||||
\(359\) | −16.7581 | −0.884461 | −0.442230 | − | 0.896902i | \(-0.645813\pi\) | ||||
−0.442230 | + | 0.896902i | \(0.645813\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −31.2088 | −1.64257 | ||||||||
\(362\) | −7.08582 | + | 2.37907i | −0.372422 | + | 0.125041i | ||||
\(363\) | − | 8.70892i | − | 0.457100i | ||||||
\(364\) | 12.3463 | + | 16.3134i | 0.647120 | + | 0.855055i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −1.62093 | − | 4.82778i | −0.0847275 | − | 0.252352i | ||||
\(367\) | −28.5324 | −1.48938 | −0.744690 | − | 0.667411i | \(-0.767403\pi\) | ||||
−0.744690 | + | 0.667411i | \(0.767403\pi\) | |||||||
\(368\) | 5.24569 | − | 18.5850i | 0.273451 | − | 0.968811i | ||||
\(369\) | −8.72532 | −0.454222 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 11.9136i | − | 0.618523i | ||||||
\(372\) | −8.88633 | − | 11.7417i | −0.460735 | − | 0.608780i | ||||
\(373\) | − | 37.5798i | − | 1.94581i | −0.231211 | − | 0.972904i | \(-0.574269\pi\) | ||
0.231211 | − | 0.972904i | \(-0.425731\pi\) | |||||||
\(374\) | 6.72532 | − | 2.25803i | 0.347758 | − | 0.116760i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −16.5522 | − | 11.3002i | −0.853614 | − | 0.582765i | ||||
\(377\) | 8.45836 | 0.435628 | ||||||||
\(378\) | 3.54291 | − | 1.18953i | 0.182228 | − | 0.0611830i | ||||
\(379\) | 6.74456i | 0.346445i | 0.984883 | + | 0.173222i | \(0.0554179\pi\) | ||||
−0.984883 | + | 0.173222i | \(0.944582\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 11.5290i | − | 0.590648i | ||||||
\(382\) | 2.68601 | + | 8.00000i | 0.137428 | + | 0.409316i | ||||
\(383\) | −21.8312 | −1.11552 | −0.557762 | − | 0.830001i | \(-0.688340\pi\) | ||||
−0.557762 | + | 0.830001i | \(0.688340\pi\) | |||||||
\(384\) | −7.25969 | − | 8.67738i | −0.370470 | − | 0.442816i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 6.72532 | + | 20.0307i | 0.342310 | + | 1.01954i | ||||
\(387\) | 1.01641i | 0.0516669i | ||||||||
\(388\) | −17.7727 | + | 13.4506i | −0.902270 | + | 0.682853i | ||||
\(389\) | − | 8.81344i | − | 0.446859i | −0.974720 | − | 0.223429i | \(-0.928275\pi\) | ||
0.974720 | − | 0.223429i | \(-0.0717252\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 16.0000 | 0.809155 | ||||||||
\(392\) | −0.0383256 | − | 0.0261649i | −0.00193573 | − | 0.00132153i | ||||
\(393\) | −7.37270 | −0.371904 | ||||||||
\(394\) | 4.33508 | − | 1.45551i | 0.218398 | − | 0.0733273i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 1.82687 | + | 2.41389i | 0.0918038 | + | 0.121303i | ||||
\(397\) | − | 0.821644i | − | 0.0412372i | −0.999787 | − | 0.0206186i | \(-0.993436\pi\) | ||
0.999787 | − | 0.0206186i | \(-0.00656356\pi\) | |||||||
\(398\) | 3.65541 | + | 10.8873i | 0.183229 | + | 0.545730i | ||||
\(399\) | −18.7253 | −0.937439 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −12.7253 | −0.635472 | −0.317736 | − | 0.948179i | \(-0.602923\pi\) | ||||
−0.317736 | + | 0.948179i | \(0.602923\pi\) | |||||||
\(402\) | 0.457515 | + | 1.36266i | 0.0228188 | + | 0.0679634i | ||||
\(403\) | 28.4999i | 1.41968i | ||||||||
\(404\) | −16.0880 | − | 21.2574i | −0.800407 | − | 1.05760i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 7.74173 | − | 2.59929i | 0.384216 | − | 0.129001i | ||||
\(407\) | 11.9136 | 0.590535 | ||||||||
\(408\) | 5.28530 | − | 7.74173i | 0.261661 | − | 0.383273i | ||||
\(409\) | 2.25827 | 0.111664 | 0.0558321 | − | 0.998440i | \(-0.482219\pi\) | ||||
0.0558321 | + | 0.998440i | \(0.482219\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.88792i | 0.191777i | ||||||||
\(412\) | 1.52840 | − | 1.15672i | 0.0752990 | − | 0.0569875i | ||||
\(413\) | 17.9672i | 0.884107i | ||||||||
\(414\) | 2.17313 | + | 6.47244i | 0.106803 | + | 0.318103i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.06874 | + | 21.8708i | 0.0523991 | + | 1.07231i | ||||
\(417\) | 14.6291 | 0.716392 | ||||||||
\(418\) | −4.82778 | − | 14.3791i | −0.236135 | − | 0.703303i | ||||
\(419\) | 33.4579i | 1.63453i | 0.576264 | + | 0.817263i | \(0.304510\pi\) | ||||
−0.576264 | + | 0.817263i | \(0.695490\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.3398i | 0.552669i | 0.961061 | + | 0.276335i | \(0.0891198\pi\) | ||||
−0.961061 | + | 0.276335i | \(0.910880\pi\) | |||||||
\(422\) | 18.3860 | − | 6.17313i | 0.895018 | − | 0.300503i | ||||
\(423\) | 7.08582 | 0.344524 | ||||||||
\(424\) | 7.18953 | − | 10.5310i | 0.349155 | − | 0.511430i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 9.01641 | − | 3.02727i | 0.436846 | − | 0.146671i | ||||
\(427\) | 9.51627i | 0.460525i | ||||||||
\(428\) | 4.82778 | + | 6.37907i | 0.233360 | + | 0.308344i | ||||
\(429\) | − | 5.85907i | − | 0.282878i | ||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 10.6597 | 0.513459 | 0.256730 | − | 0.966483i | \(-0.417355\pi\) | ||||
0.256730 | + | 0.966483i | \(0.417355\pi\) | |||||||
\(432\) | 3.84959 | + | 1.08656i | 0.185214 | + | 0.0522773i | ||||
\(433\) | 26.5132 | 1.27414 | 0.637072 | − | 0.770805i | \(-0.280146\pi\) | ||||
0.637072 | + | 0.770805i | \(0.280146\pi\) | |||||||
\(434\) | 8.75814 | + | 26.0852i | 0.420404 | + | 1.25213i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.928423 | + | 1.22675i | 0.0444634 | + | 0.0587506i | ||||
\(437\) | − | 34.2088i | − | 1.63643i | ||||||
\(438\) | −20.7999 | + | 6.98359i | −0.993859 | + | 0.333689i | ||||
\(439\) | 32.8789 | 1.56923 | 0.784613 | − | 0.619986i | \(-0.212862\pi\) | ||||
0.784613 | + | 0.619986i | \(0.212862\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.0164068 | 0.000781274 | ||||||||
\(442\) | −17.1989 | + | 5.77454i | −0.818068 | + | 0.274667i | ||||
\(443\) | − | 5.70892i | − | 0.271239i | −0.990761 | − | 0.135619i | \(-0.956698\pi\) | ||
0.990761 | − | 0.135619i | \(-0.0433024\pi\) | |||||||
\(444\) | 12.5522 | − | 9.49971i | 0.595701 | − | 0.450836i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 4.43140 | + | 13.1985i | 0.209833 | + | 0.624966i | ||||
\(447\) | 11.0715 | 0.523662 | ||||||||
\(448\) | 7.69919 | + | 19.6894i | 0.363753 | + | 0.930237i | ||||
\(449\) | −2.00000 | −0.0943858 | −0.0471929 | − | 0.998886i | \(-0.515028\pi\) | ||||
−0.0471929 | + | 0.998886i | \(0.515028\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 13.2069i | 0.621890i | ||||||||
\(452\) | 23.0580 | − | 17.4506i | 1.08456 | − | 0.820809i | ||||
\(453\) | − | 0.637339i | − | 0.0299448i | ||||||
\(454\) | −7.65375 | + | 2.56975i | −0.359208 | + | 0.120604i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −16.5522 | − | 11.3002i | −0.775128 | − | 0.529182i | ||||
\(457\) | −3.94229 | −0.184413 | −0.0922064 | − | 0.995740i | \(-0.529392\pi\) | ||||
−0.0922064 | + | 0.995740i | \(0.529392\pi\) | |||||||
\(458\) | 1.03128 | − | 0.346255i | 0.0481888 | − | 0.0161794i | ||||
\(459\) | 3.31415i | 0.154691i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 33.8969i | 1.57874i | 0.613920 | + | 0.789369i | \(0.289592\pi\) | ||||
−0.613920 | + | 0.789369i | \(0.710408\pi\) | |||||||
\(462\) | −1.80052 | − | 5.36266i | −0.0837677 | − | 0.249494i | ||||
\(463\) | 22.8688 | 1.06280 | 0.531402 | − | 0.847120i | \(-0.321665\pi\) | ||||
0.531402 | + | 0.847120i | \(0.321665\pi\) | |||||||
\(464\) | 8.41188 | + | 2.37429i | 0.390512 | + | 0.110224i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.28275 | − | 24.6693i | −0.383691 | − | 1.14278i | ||||
\(467\) | − | 15.7417i | − | 0.728440i | −0.931313 | − | 0.364220i | \(-0.881336\pi\) | ||
0.931313 | − | 0.364220i | \(-0.118664\pi\) | |||||||
\(468\) | −4.67192 | − | 6.17313i | −0.215960 | − | 0.285353i | ||||
\(469\) | − | 2.68601i | − | 0.124028i | ||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.129135 | 0.00595024 | ||||||||
\(472\) | −10.8427 | + | 15.8820i | −0.499076 | + | 0.731030i | ||||
\(473\) | 1.53847 | 0.0707388 | ||||||||
\(474\) | 9.87086 | − | 3.31415i | 0.453384 | − | 0.152224i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −13.9672 | + | 10.5706i | −0.640185 | + | 0.484502i | ||||
\(477\) | 4.50820i | 0.206416i | ||||||||
\(478\) | −4.51606 | − | 13.4506i | −0.206560 | − | 0.615218i | ||||
\(479\) | 20.6925 | 0.945465 | 0.472732 | − | 0.881206i | \(-0.343268\pi\) | ||||
0.472732 | + | 0.881206i | \(0.343268\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −30.4671 | −1.38918 | ||||||||
\(482\) | −4.84255 | − | 14.4231i | −0.220572 | − | 0.656952i | ||||
\(483\) | − | 12.7581i | − | 0.580515i | ||||||
\(484\) | −13.8887 | + | 10.5112i | −0.631304 | + | 0.477781i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −1.34067 | + | 0.450129i | −0.0608138 | + | 0.0204183i | ||||
\(487\) | 30.8401 | 1.39750 | 0.698750 | − | 0.715366i | \(-0.253740\pi\) | ||||
0.698750 | + | 0.715366i | \(0.253740\pi\) | |||||||
\(488\) | −5.74281 | + | 8.41188i | −0.259965 | + | 0.380788i | ||||
\(489\) | 19.4835 | 0.881072 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 10.9737i | 0.495238i | 0.968858 | + | 0.247619i | \(0.0796481\pi\) | ||||
−0.968858 | + | 0.247619i | \(0.920352\pi\) | |||||||
\(492\) | 10.5310 | + | 13.9149i | 0.474774 | + | 0.627330i | ||||
\(493\) | 7.24186i | 0.326157i | ||||||||
\(494\) | 12.3463 | + | 36.7721i | 0.555484 | + | 1.65445i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.00000 | + | 28.3433i | −0.359211 | + | 1.27265i | ||||
\(497\) | −17.7727 | −0.797213 | ||||||||
\(498\) | 3.48478 | + | 10.3791i | 0.156157 | + | 0.465097i | ||||
\(499\) | − | 3.71729i | − | 0.166409i | −0.996533 | − | 0.0832044i | \(-0.973485\pi\) | ||
0.996533 | − | 0.0832044i | \(-0.0265154\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | − | 1.80052i | − | 0.0804412i | ||||||
\(502\) | 16.9701 | − | 5.69774i | 0.757414 | − | 0.254302i | ||||
\(503\) | 39.9451 | 1.78107 | 0.890533 | − | 0.454919i | \(-0.150332\pi\) | ||||
0.890533 | + | 0.454919i | \(0.150332\pi\) | |||||||
\(504\) | −6.17313 | − | 4.21441i | −0.274973 | − | 0.187725i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 9.79690 | − | 3.28932i | 0.435525 | − | 0.146228i | ||||
\(507\) | 1.98359i | 0.0880945i | ||||||||
\(508\) | −18.3860 | + | 13.9149i | −0.815749 | + | 0.617372i | ||||
\(509\) | 0.0728979i | 0.00323114i | 0.999999 | + | 0.00161557i | \(0.000514253\pi\) | ||||
−0.999999 | + | 0.00161557i | \(0.999486\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 40.9997 | 1.81372 | ||||||||
\(512\) | −5.07634 | + | 22.0506i | −0.224345 | + | 0.974510i | ||||
\(513\) | 7.08582 | 0.312846 | ||||||||
\(514\) | 5.99166 | + | 17.8456i | 0.264281 | + | 0.787134i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 1.62093 | − | 1.22675i | 0.0713576 | − | 0.0540046i | ||||
\(517\) | − | 10.7253i | − | 0.471699i | ||||||
\(518\) | −27.8857 | + | 9.36266i | −1.22523 | + | 0.411372i | ||||
\(519\) | 23.2335 | 1.01984 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −11.9672 | −0.524292 | −0.262146 | − | 0.965028i | \(-0.584430\pi\) | ||||
−0.262146 | + | 0.965028i | \(0.584430\pi\) | |||||||
\(522\) | −2.92953 | + | 0.983593i | −0.128222 | + | 0.0430507i | ||||
\(523\) | − | 16.0656i | − | 0.702501i | −0.936282 | − | 0.351250i | \(-0.885757\pi\) | ||
0.936282 | − | 0.351250i | \(-0.114243\pi\) | |||||||
\(524\) | 8.89845 | + | 11.7577i | 0.388731 | + | 0.513639i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.29392 | + | 24.7026i | 0.361632 | + | 1.07709i | ||||
\(527\) | −24.4010 | −1.06292 | ||||||||
\(528\) | 1.64466 | − | 5.82687i | 0.0715746 | − | 0.253582i | ||||
\(529\) | 0.307491 | 0.0133692 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 6.79893i | − | 0.295048i | ||||||
\(532\) | 22.6004 | + | 29.8625i | 0.979854 | + | 1.29470i | ||||
\(533\) | − | 33.7745i | − | 1.46294i | ||||||
\(534\) | −19.7857 | + | 6.64307i | −0.856212 | + | 0.287474i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 1.62093 | − | 2.37429i | 0.0700136 | − | 0.102554i | ||||
\(537\) | 2.85664 | 0.123273 | ||||||||
\(538\) | 5.18757 | − | 1.74173i | 0.223652 | − | 0.0750913i | ||||
\(539\) | − | 0.0248338i | − | 0.00106967i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 15.8559i | − | 0.681698i | −0.940118 | − | 0.340849i | \(-0.889285\pi\) | ||
0.940118 | − | 0.340849i | \(-0.110715\pi\) | |||||||
\(542\) | 7.83021 | + | 23.3215i | 0.336337 | + | 1.00174i | ||||
\(543\) | −5.28530 | −0.226814 | ||||||||
\(544\) | −18.7253 | + | 0.915029i | −0.802842 | + | 0.0392316i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 4.60453 | + | 13.7141i | 0.197055 | + | 0.586910i | ||||
\(547\) | 4.95078i | 0.211680i | 0.994383 | + | 0.105840i | \(0.0337531\pi\) | ||||
−0.994383 | + | 0.105840i | \(0.966247\pi\) | |||||||
\(548\) | 6.20033 | − | 4.69251i | 0.264865 | − | 0.200454i | ||||
\(549\) | − | 3.60104i | − | 0.153688i | ||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 15.4835 | 0.659618 | ||||||||
\(552\) | 7.69919 | − | 11.2775i | 0.327699 | − | 0.480003i | ||||
\(553\) | −19.4569 | −0.827393 | ||||||||
\(554\) | 1.18953 | − | 0.399387i | 0.0505385 | − | 0.0169683i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −17.6566 | − | 23.3301i | −0.748806 | − | 0.989416i | ||||
\(557\) | − | 1.26634i | − | 0.0536565i | −0.999640 | − | 0.0268283i | \(-0.991459\pi\) | ||
0.999640 | − | 0.0268283i | \(-0.00854073\pi\) | |||||||
\(558\) | −3.31415 | − | 9.87086i | −0.140299 | − | 0.417867i | ||||
\(559\) | −3.93437 | −0.166406 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 5.01641 | 0.211793 | ||||||||
\(562\) | 6.06930 | + | 18.0768i | 0.256018 | + | 0.762524i | ||||
\(563\) | 5.70892i | 0.240602i | 0.992737 | + | 0.120301i | \(0.0383860\pi\) | ||||
−0.992737 | + | 0.120301i | \(0.961614\pi\) | |||||||
\(564\) | −8.55220 | − | 11.3002i | −0.360112 | − | 0.475825i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 38.1208 | − | 12.7991i | 1.60234 | − | 0.537986i | ||||
\(567\) | 2.64265 | 0.110981 | ||||||||
\(568\) | −15.7101 | − | 10.7253i | −0.659181 | − | 0.450025i | ||||
\(569\) | −2.75814 | −0.115627 | −0.0578135 | − | 0.998327i | \(-0.518413\pi\) | ||||
−0.0578135 | + | 0.998327i | \(0.518413\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 25.7735i | − | 1.07859i | −0.842118 | − | 0.539294i | \(-0.818691\pi\) | ||
0.842118 | − | 0.539294i | \(-0.181309\pi\) | |||||||
\(572\) | −9.34385 | + | 7.07158i | −0.390686 | + | 0.295677i | ||||
\(573\) | 5.96719i | 0.249283i | ||||||||
\(574\) | −10.3791 | − | 30.9130i | −0.433214 | − | 1.29028i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −2.91344 | − | 7.45063i | −0.121393 | − | 0.310443i | ||||
\(577\) | −32.7135 | −1.36188 | −0.680941 | − | 0.732338i | \(-0.738429\pi\) | ||||
−0.680941 | + | 0.732338i | \(0.738429\pi\) | |||||||
\(578\) | 2.70816 | + | 8.06599i | 0.112645 | + | 0.335501i | ||||
\(579\) | 14.9409i | 0.620921i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | − | 20.4587i | − | 0.848769i | ||||||
\(582\) | −14.9409 | + | 5.01641i | −0.619319 | + | 0.207937i | ||||
\(583\) | 6.82376 | 0.282611 | ||||||||
\(584\) | 36.2416 | + | 24.7422i | 1.49969 | + | 1.02384i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 10.7141 | − | 3.59728i | 0.442597 | − | 0.148602i | ||||
\(587\) | − | 43.4835i | − | 1.79475i | −0.441264 | − | 0.897377i | \(-0.645470\pi\) | ||
0.441264 | − | 0.897377i | \(-0.354530\pi\) | |||||||
\(588\) | −0.0198021 | − | 0.0261649i | −0.000816623 | − | 0.00107902i | ||||
\(589\) | 52.1705i | 2.14965i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.23353 | 0.133009 | ||||||||
\(592\) | −30.2996 | − | 8.55220i | −1.24531 | − | 0.351493i | ||||
\(593\) | 7.83021 | 0.321548 | 0.160774 | − | 0.986991i | \(-0.448601\pi\) | ||||
0.160774 | + | 0.986991i | \(0.448601\pi\) | |||||||
\(594\) | 0.681331 | + | 2.02927i | 0.0279553 | + | 0.0832622i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −13.3627 | − | 17.6564i | −0.547356 | − | 0.723235i | ||||
\(597\) | 8.12080i | 0.332362i | ||||||||
\(598\) | −25.0539 | + | 8.41188i | −1.02453 | + | 0.343987i | ||||
\(599\) | −32.7581 | −1.33846 | −0.669231 | − | 0.743055i | \(-0.733376\pi\) | ||||
−0.669231 | + | 0.743055i | \(0.733376\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.8074 | 0.726377 | 0.363189 | − | 0.931716i | \(-0.381688\pi\) | ||||
0.363189 | + | 0.931716i | \(0.381688\pi\) | |||||||
\(602\) | −3.60104 | + | 1.20905i | −0.146767 | + | 0.0492772i | ||||
\(603\) | 1.01641i | 0.0413913i | ||||||||
\(604\) | −1.01641 | + | 0.769233i | −0.0413570 | + | 0.0312997i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −6.00000 | − | 17.8704i | −0.243733 | − | 0.725935i | ||||
\(607\) | −3.41188 | −0.138484 | −0.0692420 | − | 0.997600i | \(-0.522058\pi\) | ||||
−0.0692420 | + | 0.997600i | \(0.522058\pi\) | |||||||
\(608\) | 1.95638 | + | 40.0357i | 0.0793416 | + | 1.62366i | ||||
\(609\) | 5.77454 | 0.233996 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 27.4282i | 1.10963i | ||||||||
\(612\) | 5.28530 | − | 4.00000i | 0.213646 | − | 0.161690i | ||||
\(613\) | − | 36.6290i | − | 1.47943i | −0.672920 | − | 0.739716i | \(-0.734960\pi\) | ||
0.672920 | − | 0.739716i | \(-0.265040\pi\) | |||||||
\(614\) | 23.3955 | − | 7.85505i | 0.944165 | − | 0.317004i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −6.37907 | + | 9.34385i | −0.257020 | + | 0.376474i | ||||
\(617\) | 40.3979 | 1.62636 | 0.813180 | − | 0.582012i | \(-0.197734\pi\) | ||||
0.813180 | + | 0.582012i | \(0.197734\pi\) | |||||||
\(618\) | 1.28488 | − | 0.431398i | 0.0516853 | − | 0.0173534i | ||||
\(619\) | 24.5172i | 0.985430i | 0.870191 | + | 0.492715i | \(0.163996\pi\) | ||||
−0.870191 | + | 0.492715i | \(0.836004\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.82778i | 0.193732i | ||||||||
\(622\) | −9.65557 | − | 28.7581i | −0.387153 | − | 1.15310i | ||||
\(623\) | 39.0006 | 1.56252 | ||||||||
\(624\) | −4.20594 | + | 14.9013i | −0.168372 | + | 0.596528i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 3.48346 | + | 10.3751i | 0.139227 | + | 0.414674i | ||||
\(627\) | − | 10.7253i | − | 0.428328i | ||||||
\(628\) | −0.155859 | − | 0.205941i | −0.00621947 | − | 0.00821793i | ||||
\(629\) | − | 26.0852i | − | 1.04009i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.7805 | 0.747640 | 0.373820 | − | 0.927501i | \(-0.378048\pi\) | ||||
0.373820 | + | 0.927501i | \(0.378048\pi\) | |||||||
\(632\) | −17.1989 | − | 11.7417i | −0.684135 | − | 0.467061i | ||||
\(633\) | 13.7141 | 0.545087 | ||||||||
\(634\) | 15.0604 | − | 5.05654i | 0.598125 | − | 0.200821i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 7.18953 | − | 5.44116i | 0.285084 | − | 0.215756i | ||||
\(637\) | 0.0635083i | 0.00251629i | ||||||||
\(638\) | 1.48880 | + | 4.43424i | 0.0589421 | + | 0.175553i | ||||
\(639\) | 6.72532 | 0.266050 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −15.5163 | −0.612856 | −0.306428 | − | 0.951894i | \(-0.599134\pi\) | ||||
−0.306428 | + | 0.951894i | \(0.599134\pi\) | |||||||
\(642\) | 1.80052 | + | 5.36266i | 0.0710608 | + | 0.211647i | ||||
\(643\) | − | 17.4506i | − | 0.688186i | −0.938936 | − | 0.344093i | \(-0.888186\pi\) | ||
0.938936 | − | 0.344093i | \(-0.111814\pi\) | |||||||
\(644\) | −20.3463 | + | 15.3984i | −0.801755 | + | 0.606781i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −31.4835 | + | 10.5706i | −1.23870 | + | 0.415895i | ||||
\(647\) | −13.1403 | −0.516600 | −0.258300 | − | 0.966065i | \(-0.583162\pi\) | ||||
−0.258300 | + | 0.966065i | \(0.583162\pi\) | |||||||
\(648\) | 2.33596 | + | 1.59477i | 0.0917653 | + | 0.0626484i | ||||
\(649\) | −10.2911 | −0.403960 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 19.4569i | 0.762577i | ||||||||
\(652\) | −23.5155 | − | 31.0716i | −0.920937 | − | 1.21686i | ||||
\(653\) | 14.7993i | 0.579141i | 0.957157 | + | 0.289570i | \(0.0935124\pi\) | ||||
−0.957157 | + | 0.289570i | \(0.906488\pi\) | |||||||
\(654\) | 0.346255 | + | 1.03128i | 0.0135396 | + | 0.0403264i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 9.48062 | − | 33.5890i | 0.370156 | − | 1.31143i | ||||
\(657\) | −15.5146 | −0.605284 | ||||||||
\(658\) | 8.42882 | + | 25.1044i | 0.328590 | + | 0.978671i | ||||
\(659\) | − | 7.99614i | − | 0.311485i | −0.987798 | − | 0.155743i | \(-0.950223\pi\) | ||
0.987798 | − | 0.155743i | \(-0.0497771\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.915029i | 0.0355905i | 0.999842 | + | 0.0177953i | \(0.00566470\pi\) | ||||
−0.999842 | + | 0.0177953i | \(0.994335\pi\) | |||||||
\(662\) | −10.7265 | + | 3.60142i | −0.416896 | + | 0.139973i | ||||
\(663\) | −12.8286 | −0.498223 | ||||||||
\(664\) | 12.3463 | − | 18.0844i | 0.479128 | − | 0.701810i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 10.5522 | − | 3.54291i | 0.408889 | − | 0.137285i | ||||
\(667\) | 10.5494i | 0.408473i | ||||||||
\(668\) | −2.87141 | + | 2.17313i | −0.111098 | + | 0.0840808i | ||||
\(669\) | 9.84472i | 0.380619i | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.45065 | −0.210420 | ||||||||
\(672\) | 0.729629 | + | 14.9313i | 0.0281461 | + | 0.575986i | ||||
\(673\) | 34.3978 | 1.32594 | 0.662969 | − | 0.748647i | \(-0.269296\pi\) | ||||
0.662969 | + | 0.748647i | \(0.269296\pi\) | |||||||
\(674\) | −9.70892 | − | 28.9170i | −0.373973 | − | 1.11384i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.16337 | − | 2.39409i | 0.121668 | − | 0.0920804i | ||||
\(677\) | 40.1676i | 1.54377i | 0.635764 | + | 0.771884i | \(0.280685\pi\) | ||||
−0.635764 | + | 0.771884i | \(0.719315\pi\) | |||||||
\(678\) | 19.3840 | − | 6.50820i | 0.744439 | − | 0.249946i | ||||
\(679\) | 29.4506 | 1.13021 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −5.70892 | −0.218766 | ||||||||
\(682\) | −14.9409 | + | 5.01641i | −0.572115 | + | 0.192088i | ||||
\(683\) | − | 33.2580i | − | 1.27258i | −0.771449 | − | 0.636291i | \(-0.780468\pi\) | ||
0.771449 | − | 0.636291i | \(-0.219532\pi\) | |||||||
\(684\) | −8.55220 | − | 11.3002i | −0.327001 | − | 0.432075i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 8.34625 | + | 24.8585i | 0.318661 | + | 0.949101i | ||||
\(687\) | 0.769233 | 0.0293481 | ||||||||
\(688\) | −3.91275 | − | 1.10439i | −0.149172 | − | 0.0421045i | ||||
\(689\) | −17.4506 | −0.664817 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 50.2241i | 1.91062i | 0.295611 | + | 0.955308i | \(0.404477\pi\) | ||||
−0.295611 | + | 0.955308i | \(0.595523\pi\) | |||||||
\(692\) | −28.0416 | − | 37.0521i | −1.06598 | − | 1.40851i | ||||
\(693\) | − | 4.00000i | − | 0.151947i | ||||||
\(694\) | 29.1044 | − | 9.77182i | 1.10479 | − | 0.370933i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 5.10439 | + | 3.48478i | 0.193481 | + | 0.132090i | ||||
\(697\) | 28.9170 | 1.09531 | ||||||||
\(698\) | −33.1710 | + | 11.1372i | −1.25554 | + | 0.421549i | ||||
\(699\) | − | 18.4008i | − | 0.695983i | ||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 23.7543i | − | 0.897188i | −0.893736 | − | 0.448594i | \(-0.851925\pi\) | ||
0.893736 | − | 0.448594i | \(-0.148075\pi\) | |||||||
\(702\) | −1.74239 | − | 5.18953i | −0.0657623 | − | 0.195866i | ||||
\(703\) | −55.7715 | −2.10346 | ||||||||
\(704\) | −11.2775 | + | 4.40987i | −0.425037 | + | 0.166203i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.49180 | + | 4.44317i | 0.0561445 | + | 0.167221i | ||||
\(707\) | 35.2252i | 1.32478i | ||||||||
\(708\) | −10.8427 | + | 8.20594i | −0.407494 | + | 0.308398i | ||||
\(709\) | 36.3146i | 1.36382i | 0.731435 | + | 0.681911i | \(0.238851\pi\) | ||||
−0.731435 | + | 0.681911i | \(0.761149\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 7.36266 | 0.276121 | ||||||||
\(712\) | 34.4744 | + | 23.5358i | 1.29198 | + | 0.882041i | ||||
\(713\) | −35.5453 | −1.33118 | ||||||||
\(714\) | −11.7417 | + | 3.94229i | −0.439423 | + | 0.147537i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −3.44780 | − | 4.55567i | −0.128851 | − | 0.170253i | ||||
\(717\) | − | 10.0328i | − | 0.374682i | ||||||
\(718\) | 7.54333 | + | 22.4671i | 0.281515 | + | 0.838463i | ||||
\(719\) | 30.7253 | 1.14586 | 0.572931 | − | 0.819604i | \(-0.305806\pi\) | ||||
0.572931 | + | 0.819604i | \(0.305806\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.53268 | −0.0943219 | ||||||||
\(722\) | 14.0480 | + | 41.8405i | 0.522812 | + | 1.55714i | ||||
\(723\) | − | 10.7581i | − | 0.400099i | ||||||
\(724\) | 6.37907 | + | 8.42882i | 0.237076 | + | 0.313255i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −11.6757 | + | 3.92014i | −0.433327 | + | 0.145490i | ||||
\(727\) | 5.47445 | 0.203036 | 0.101518 | − | 0.994834i | \(-0.467630\pi\) | ||||
0.101518 | + | 0.994834i | \(0.467630\pi\) | |||||||
\(728\) | 16.3134 | − | 23.8953i | 0.604615 | − | 0.885620i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 3.36852i | − | 0.124589i | ||||||
\(732\) | −5.74281 | + | 4.34625i | −0.212260 | + | 0.160642i | ||||
\(733\) | 17.1455i | 0.633285i | 0.948545 | + | 0.316643i | \(0.102556\pi\) | ||||
−0.948545 | + | 0.316643i | \(0.897444\pi\) | |||||||
\(734\) | 12.8433 | + | 38.2524i | 0.474054 | + | 1.41192i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −27.2775 | + | 1.33294i | −1.00546 | + | 0.0491328i | ||||
\(737\) | 1.53847 | 0.0566701 | ||||||||
\(738\) | 3.92752 | + | 11.6977i | 0.144574 | + | 0.430600i | ||||
\(739\) | − | 11.6019i | − | 0.426782i | −0.976967 | − | 0.213391i | \(-0.931549\pi\) | ||
0.976967 | − | 0.213391i | \(-0.0684508\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 27.4282i | 1.00760i | ||||||||
\(742\) | −15.9721 | + | 5.36266i | −0.586356 | + | 0.196869i | ||||
\(743\) | −23.6613 | −0.868048 | −0.434024 | − | 0.900901i | \(-0.642907\pi\) | ||||
−0.434024 | + | 0.900901i | \(0.642907\pi\) | |||||||
\(744\) | −11.7417 | + | 17.1989i | −0.430473 | + | 0.630542i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −50.3819 | + | 16.9158i | −1.84461 | + | 0.619330i | ||||
\(747\) | 7.74173i | 0.283255i | ||||||||
\(748\) | −6.05453 | − | 8.00000i | −0.221376 | − | 0.292509i | ||||
\(749\) | − | 10.5706i | − | 0.386241i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −11.4283 | −0.417024 | −0.208512 | − | 0.978020i | \(-0.566862\pi\) | ||||
−0.208512 | + | 0.978020i | \(0.566862\pi\) | |||||||
\(752\) | −7.69919 | + | 27.2775i | −0.280761 | + | 0.994709i | ||||
\(753\) | 12.6580 | 0.461283 | ||||||||
\(754\) | −3.80736 | − | 11.3398i | −0.138656 | − | 0.412972i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −3.18953 | − | 4.21441i | −0.116002 | − | 0.153277i | ||||
\(757\) | − | 19.1784i | − | 0.697049i | −0.937300 | − | 0.348525i | \(-0.886683\pi\) | ||
0.937300 | − | 0.348525i | \(-0.113317\pi\) | |||||||
\(758\) | 9.04219 | − | 3.03592i | 0.328427 | − | 0.110270i | ||||
\(759\) | 7.30749 | 0.265245 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 4.03281 | 0.146189 | 0.0730947 | − | 0.997325i | \(-0.476712\pi\) | ||||
0.0730947 | + | 0.997325i | \(0.476712\pi\) | |||||||
\(762\) | −15.4565 | + | 5.18953i | −0.559930 | + | 0.187997i | ||||
\(763\) | − | 2.03281i | − | 0.0735928i | ||||||
\(764\) | 9.51627 | − | 7.20207i | 0.344287 | − | 0.260562i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.82687 | + | 29.2684i | 0.355059 | + | 1.05751i | ||||
\(767\) | 26.3177 | 0.950279 | ||||||||
\(768\) | −8.36566 | + | 13.6388i | −0.301870 | + | 0.492146i | ||||
\(769\) | −2.95078 | −0.106408 | −0.0532039 | − | 0.998584i | \(-0.516943\pi\) | ||||
−0.0532039 | + | 0.998584i | \(0.516943\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.3110i | 0.479383i | ||||||||
\(772\) | 23.8272 | − | 18.0328i | 0.857560 | − | 0.649015i | ||||
\(773\) | − | 45.2663i | − | 1.62812i | −0.580783 | − | 0.814059i | \(-0.697253\pi\) | ||
0.580783 | − | 0.814059i | \(-0.302747\pi\) | |||||||
\(774\) | 1.36266 | − | 0.457515i | 0.0489798 | − | 0.0164450i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 26.0328 | + | 17.7727i | 0.934524 | + | 0.638002i | ||||
\(777\) | −20.7999 | −0.746193 | ||||||||
\(778\) | −11.8159 | + | 3.96719i | −0.423619 | + | 0.142231i | ||||
\(779\) | − | 61.8260i | − | 2.21515i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 10.1797i | − | 0.364257i | ||||||
\(782\) | −7.20207 | − | 21.4506i | −0.257546 | − | 0.767074i | ||||
\(783\) | −2.18513 | −0.0780903 | ||||||||
\(784\) | −0.0178270 | + | 0.0631594i | −0.000636678 | + | 0.00225569i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 3.31867 | + | 9.88432i | 0.118373 | + | 0.352562i | ||||
\(787\) | − | 52.9997i | − | 1.88924i | −0.328171 | − | 0.944618i | \(-0.606432\pi\) | ||
0.328171 | − | 0.944618i | \(-0.393568\pi\) | |||||||
\(788\) | −3.90269 | − | 5.15672i | −0.139028 | − | 0.183701i | ||||
\(789\) | 18.4256i | 0.655970i | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −38.2088 | −1.35855 | ||||||||
\(792\) | 2.41389 | − | 3.53579i | 0.0857739 | − | 0.125639i | ||||
\(793\) | 13.9391 | 0.494993 | ||||||||
\(794\) | −1.10155 | + | 0.369846i | −0.0390926 | + | 0.0131254i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 12.9508 | − | 9.80136i | 0.459028 | − | 0.347400i | ||||
\(797\) | 16.5738i | 0.587075i | 0.955948 | + | 0.293538i | \(0.0948326\pi\) | ||||
−0.955948 | + | 0.293538i | \(0.905167\pi\) | |||||||
\(798\) | 8.42882 | + | 25.1044i | 0.298377 | + | 0.888686i | ||||
\(799\) | −23.4835 | −0.830785 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −14.7581 | −0.521453 | ||||||||
\(802\) | 5.72804 | + | 17.0604i | 0.202264 | + | 0.602424i | ||||
\(803\) | 23.4835i | 0.828713i | ||||||||
\(804\) | 1.62093 | − | 1.22675i | 0.0571659 | − | 0.0432641i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 38.2088 | − | 12.8286i | 1.34585 | − | 0.451869i | ||||
\(807\) | 3.86940 | 0.136209 | ||||||||
\(808\) | −21.2574 | + | 31.1372i | −0.747834 | + | 1.09540i | ||||
\(809\) | −37.5491 | −1.32016 | −0.660078 | − | 0.751197i | \(-0.729477\pi\) | ||||
−0.660078 | + | 0.751197i | \(0.729477\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 32.1102i | − | 1.12754i | −0.825931 | − | 0.563771i | \(-0.809350\pi\) | ||
0.825931 | − | 0.563771i | \(-0.190650\pi\) | |||||||
\(812\) | −6.96956 | − | 9.20905i | −0.244584 | − | 0.323174i | ||||
\(813\) | 17.3955i | 0.610086i | ||||||||
\(814\) | −5.36266 | − | 15.9721i | −0.187961 | − | 0.559824i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −12.7581 | − | 3.60104i | −0.446624 | − | 0.126061i | ||||
\(817\) | −7.20207 | −0.251969 | ||||||||
\(818\) | −1.01651 | − | 3.02759i | −0.0355416 | − | 0.105857i | ||||
\(819\) | 10.2293i | 0.357442i | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − | 29.3809i | − | 1.02540i | −0.858568 | − | 0.512699i | \(-0.828646\pi\) | ||
0.858568 | − | 0.512699i | \(-0.171354\pi\) | |||||||
\(822\) | 5.21240 | − | 1.75007i | 0.181803 | − | 0.0610406i | ||||
\(823\) | 28.3866 | 0.989495 | 0.494748 | − | 0.869037i | \(-0.335260\pi\) | ||||
0.494748 | + | 0.869037i | \(0.335260\pi\) | |||||||
\(824\) | −2.23875 | − | 1.52840i | −0.0779907 | − | 0.0532444i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 24.0880 | − | 8.08756i | 0.838128 | − | 0.281402i | ||||
\(827\) | − | 1.45065i | − | 0.0504439i | −0.999682 | − | 0.0252219i | \(-0.991971\pi\) | ||
0.999682 | − | 0.0252219i | \(-0.00802924\pi\) | |||||||
\(828\) | 7.69919 | − | 5.82687i | 0.267565 | − | 0.202498i | ||||
\(829\) | − | 37.4621i | − | 1.30111i | −0.759458 | − | 0.650556i | \(-0.774536\pi\) | ||
0.759458 | − | 0.650556i | \(-0.225464\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.887271 | 0.0307791 | ||||||||
\(832\) | 28.8404 | − | 11.2775i | 0.999860 | − | 0.390978i | ||||
\(833\) | −0.0543744 | −0.00188396 | ||||||||
\(834\) | −6.58501 | − | 19.6128i | −0.228020 | − | 0.679135i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −17.1044 | + | 12.9449i | −0.591568 | + | 0.447708i | ||||
\(837\) | − | 7.36266i | − | 0.254491i | ||||||
\(838\) | 44.8559 | − | 15.0604i | 1.54952 | − | 0.520253i | ||||
\(839\) | −48.7581 | −1.68332 | −0.841659 | − | 0.540010i | \(-0.818421\pi\) | ||||
−0.841659 | + | 0.540010i | \(0.818421\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 24.2252 | 0.835351 | ||||||||
\(842\) | 15.2029 | − | 5.10439i | 0.523927 | − | 0.175909i | ||||
\(843\) | 13.4835i | 0.464395i | ||||||||
\(844\) | −16.5522 | − | 21.8708i | −0.569750 | − | 0.752825i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −3.18953 | − | 9.49971i | −0.109658 | − | 0.326607i | ||||
\(847\) | 23.0146 | 0.790791 | ||||||||
\(848\) | −17.3548 | − | 4.89845i | −0.595965 | − | 0.168213i | ||||
\(849\) | 28.4342 | 0.975861 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 37.9988i | − | 1.30258i | ||||||
\(852\) | −8.11710 | − | 10.7253i | −0.278087 | − | 0.367443i | ||||
\(853\) | 4.37073i | 0.149651i | 0.997197 | + | 0.0748255i | \(0.0238400\pi\) | ||||
−0.997197 | + | 0.0748255i | \(0.976160\pi\) | |||||||
\(854\) | 12.7581 | − | 4.28355i | 0.436574 | − | 0.146580i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 6.37907 | − | 9.34385i | 0.218032 | − | 0.319366i | ||||
\(857\) | 20.5130 | 0.700712 | 0.350356 | − | 0.936617i | \(-0.386061\pi\) | ||||
0.350356 | + | 0.936617i | \(0.386061\pi\) | |||||||
\(858\) | −7.85505 | + | 2.63734i | −0.268167 | + | 0.0900373i | ||||
\(859\) | 10.1131i | 0.345054i | 0.985005 | + | 0.172527i | \(0.0551932\pi\) | ||||
−0.985005 | + | 0.172527i | \(0.944807\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | − | 23.0580i | − | 0.785813i | ||||||
\(862\) | −4.79824 | − | 14.2911i | −0.163429 | − | 0.486756i | ||||
\(863\) | 13.2861 | 0.452266 | 0.226133 | − | 0.974096i | \(-0.427392\pi\) | ||||
0.226133 | + | 0.974096i | \(0.427392\pi\) | |||||||
\(864\) | −0.276098 | − | 5.65011i | −0.00939303 | − | 0.192221i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −11.9344 | − | 35.5453i | −0.405547 | − | 1.20788i | ||||
\(867\) | 6.01641i | 0.204328i | ||||||||
\(868\) | 31.0293 | − | 23.4835i | 1.05320 | − | 0.797081i | ||||
\(869\) | − | 11.1444i | − | 0.378047i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.93437 | −0.133311 | ||||||||
\(872\) | 1.22675 | − | 1.79690i | 0.0415429 | − | 0.0608507i | ||||
\(873\) | −11.1444 | −0.377180 | ||||||||
\(874\) | −45.8625 | + | 15.3984i | −1.55132 | + | 0.520858i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 18.7253 | + | 24.7422i | 0.632670 | + | 0.835962i | ||||
\(877\) | 33.6454i | 1.13612i | 0.822986 | + | 0.568062i | \(0.192307\pi\) | ||||
−0.822986 | + | 0.568062i | \(0.807693\pi\) | |||||||
\(878\) | −14.7998 | − | 44.0796i | −0.499468 | − | 1.48762i | ||||
\(879\) | 7.99166 | 0.269552 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −32.7909 | −1.10476 | −0.552378 | − | 0.833594i | \(-0.686279\pi\) | ||||
−0.552378 | + | 0.833594i | \(0.686279\pi\) | |||||||
\(882\) | −0.00738516 | − | 0.0219960i | −0.000248671 | − | 0.000740643i | ||||
\(883\) | − | 33.4506i | − | 1.12570i | −0.826558 | − | 0.562852i | \(-0.809704\pi\) | ||
0.826558 | − | 0.562852i | \(-0.190296\pi\) | |||||||
\(884\) | 15.4835 | + | 20.4587i | 0.520765 | + | 0.688100i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −7.65375 | + | 2.56975i | −0.257133 | + | 0.0863325i | ||||
\(887\) | −34.8924 | −1.17157 | −0.585785 | − | 0.810466i | \(-0.699214\pi\) | ||||
−0.585785 | + | 0.810466i | \(0.699214\pi\) | |||||||
\(888\) | −18.3860 | − | 12.5522i | −0.616995 | − | 0.421224i | ||||
\(889\) | 30.4671 | 1.02183 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.51363i | 0.0507086i | ||||||||
\(892\) | 15.7000 | − | 11.8820i | 0.525676 | − | 0.397840i | ||||
\(893\) | 50.2088i | 1.68017i | ||||||||
\(894\) | −4.98359 | − | 14.8431i | −0.166676 | − | 0.496429i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 22.9313 | − | 19.1848i | 0.766080 | − | 0.640920i | ||||
\(897\) | −18.6877 | −0.623964 | ||||||||
\(898\) | 0.900259 | + | 2.68133i | 0.0300420 | + | 0.0894772i | ||||
\(899\) | − | 16.0884i | − | 0.536578i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 14.9409i | − | 0.497752i | ||||||
\(902\) | 17.7061 | − | 5.94483i | 0.589548 | − | 0.197941i | ||||
\(903\) | −2.68601 | −0.0893847 | ||||||||
\(904\) | −33.7745 | − | 23.0580i | −1.12332 | − | 0.766896i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −0.854458 | + | 0.286885i | −0.0283875 | + | 0.00953111i | ||||
\(907\) | − | 30.9836i | − | 1.02879i | −0.857552 | − | 0.514397i | \(-0.828016\pi\) | ||
0.857552 | − | 0.514397i | \(-0.171984\pi\) | |||||||
\(908\) | 6.89035 | + | 9.10439i | 0.228664 | + | 0.302140i | ||||
\(909\) | − | 13.3295i | − | 0.442112i | ||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.0000 | 0.530104 | 0.265052 | − | 0.964234i | \(-0.414611\pi\) | ||||
0.265052 | + | 0.964234i | \(0.414611\pi\) | |||||||
\(912\) | −7.69919 | + | 27.2775i | −0.254946 | + | 0.903249i | ||||
\(913\) | 11.7181 | 0.387814 | ||||||||
\(914\) | 1.77454 | + | 5.28530i | 0.0586967 | + | 0.174822i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.928423 | − | 1.22675i | −0.0306760 | − | 0.0405329i | ||||
\(917\) | − | 19.4835i | − | 0.643400i | ||||||
\(918\) | 4.44317 | − | 1.49180i | 0.146646 | − | 0.0492366i | ||||
\(919\) | −15.6043 | −0.514737 | −0.257368 | − | 0.966313i | \(-0.582855\pi\) | ||||
−0.257368 | + | 0.966313i | \(0.582855\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 17.4506 | 0.575018 | ||||||||
\(922\) | 45.4444 | − | 15.2580i | 1.49663 | − | 0.502496i | ||||
\(923\) | 26.0328i | 0.856880i | ||||||||
\(924\) | −6.37907 | + | 4.82778i | −0.209856 | + | 0.158822i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −10.2939 | − | 30.6594i | −0.338279 | − | 1.00753i | ||||
\(927\) | 0.958386 | 0.0314775 | ||||||||
\(928\) | −0.603310 | − | 12.3463i | −0.0198046 | − | 0.405286i | ||||
\(929\) | −38.9341 | −1.27739 | −0.638693 | − | 0.769461i | \(-0.720525\pi\) | ||||
−0.638693 | + | 0.769461i | \(0.720525\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.116255i | 0.00381011i | ||||||||
\(932\) | −29.3450 | + | 22.2088i | −0.961228 | + | 0.727473i | ||||
\(933\) | − | 21.4506i | − | 0.702263i | ||||||
\(934\) | −21.1044 | + | 7.08582i | −0.690557 | + | 0.231855i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −6.17313 | + | 9.04219i | −0.201775 | + | 0.295553i | ||||
\(937\) | 19.6027 | 0.640393 | 0.320197 | − | 0.947351i | \(-0.396251\pi\) | ||||
0.320197 | + | 0.947351i | \(0.396251\pi\) | |||||||
\(938\) | −3.60104 | + | 1.20905i | −0.117578 | + | 0.0394769i | ||||
\(939\) | 7.73879i | 0.252546i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 25.0476i | 0.816530i | 0.912864 | + | 0.408265i | \(0.133866\pi\) | ||||
−0.912864 | + | 0.408265i | \(0.866134\pi\) | |||||||
\(942\) | −0.0581276 | − | 0.173127i | −0.00189390 | − | 0.00564079i | ||||
\(943\) | 42.1240 | 1.37175 | ||||||||
\(944\) | 26.1731 | + | 7.38747i | 0.851863 | + | 0.240442i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.692509 | − | 2.06257i | −0.0225154 | − | 0.0670599i | ||||
\(947\) | − | 7.93437i | − | 0.257832i | −0.991655 | − | 0.128916i | \(-0.958850\pi\) | ||
0.991655 | − | 0.128916i | \(-0.0411498\pi\) | |||||||
\(948\) | −8.88633 | − | 11.7417i | −0.288615 | − | 0.381354i | ||||
\(949\) | − | 60.0550i | − | 1.94947i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 11.2335 | 0.364272 | ||||||||
\(952\) | 20.4587 | + | 13.9672i | 0.663069 | + | 0.452679i | ||||
\(953\) | −11.4809 | −0.371903 | −0.185952 | − | 0.982559i | \(-0.559537\pi\) | ||||
−0.185952 | + | 0.982559i | \(0.559537\pi\) | |||||||
\(954\) | 6.04399 | − | 2.02927i | 0.195681 | − | 0.0657002i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −16.0000 | + | 12.1091i | −0.517477 | + | 0.391635i | ||||
\(957\) | 3.30749i | 0.106916i | ||||||||
\(958\) | −9.31431 | − | 27.7417i | −0.300932 | − | 0.896295i | ||||
\(959\) | −10.2744 | −0.331778 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 23.2088 | 0.748670 | ||||||||
\(962\) | 13.7141 | + | 40.8461i | 0.442161 | + | 1.31693i | ||||
\(963\) | 4.00000i | 0.128898i | ||||||||
\(964\) | −17.1567 | + | 12.9845i | −0.552581 | + | 0.418202i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −17.1044 | + | 5.74281i | −0.550325 | + | 0.184772i | ||||
\(967\) | 15.8993 | 0.511285 | 0.255643 | − | 0.966771i | \(-0.417713\pi\) | ||||
0.255643 | + | 0.966771i | \(0.417713\pi\) | |||||||
\(968\) | 20.3437 | + | 13.8887i | 0.653871 | + | 0.446399i | ||||
\(969\) | −23.4835 | −0.754397 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 40.6600i | − | 1.30484i | −0.757857 | − | 0.652421i | \(-0.773754\pi\) | ||
0.757857 | − | 0.652421i | \(-0.226246\pi\) | |||||||
\(972\) | 1.20695 | + | 1.59477i | 0.0387128 | + | 0.0511522i | ||||
\(973\) | 38.6597i | 1.23937i | ||||||||
\(974\) | −13.8820 | − | 41.3463i | −0.444809 | − | 1.32482i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 13.8625 | + | 3.91275i | 0.443729 | + | 0.125244i | ||||
\(977\) | −26.5676 | −0.849972 | −0.424986 | − | 0.905200i | \(-0.639721\pi\) | ||||
−0.424986 | + | 0.905200i | \(0.639721\pi\) | |||||||
\(978\) | −8.77008 | − | 26.1208i | −0.280436 | − | 0.835251i | ||||
\(979\) | 22.3384i | 0.713938i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.769233i | 0.0245597i | ||||||||
\(982\) | 14.7121 | − | 4.93960i | 0.469482 | − | 0.157629i | ||||
\(983\) | 9.88057 | 0.315141 | 0.157571 | − | 0.987508i | \(-0.449634\pi\) | ||||
0.157571 | + | 0.987508i | \(0.449634\pi\) | |||||||
\(984\) | 13.9149 | − | 20.3820i | 0.443589 | − | 0.649755i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 9.70892 | − | 3.25978i | 0.309195 | − | 0.103812i | ||||
\(987\) | 18.7253i | 0.596034i | ||||||||
\(988\) | 43.7416 | − | 33.1044i | 1.39161 | − | 1.05319i | ||||
\(989\) | − | 4.90699i | − | 0.156033i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −53.0549 | −1.68534 | −0.842672 | − | 0.538427i | \(-0.819019\pi\) | ||||
−0.842672 | + | 0.538427i | \(0.819019\pi\) | |||||||
\(992\) | 41.5999 | − | 2.03281i | 1.32080 | − | 0.0645419i | ||||
\(993\) | −8.00084 | −0.253899 | ||||||||
\(994\) | 8.00000 | + | 23.8272i | 0.253745 | + | 0.755753i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 12.3463 | − | 9.34385i | 0.391206 | − | 0.296071i | ||||
\(997\) | − | 32.3051i | − | 1.02311i | −0.859250 | − | 0.511556i | \(-0.829069\pi\) | ||
0.859250 | − | 0.511556i | \(-0.170931\pi\) | |||||||
\(998\) | −4.98364 | + | 1.67326i | −0.157754 | + | 0.0529662i | ||||
\(999\) | 7.87086 | 0.249023 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))