Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [120,2,Mod(109,120)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(120, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("120.109");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 120 = 2^{3} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 120.d (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.958204824255\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.839056.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} + 6x^{4} + 8x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 109.5 | ||
Root | \(-1.32132i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 120.109 |
Dual form | 120.2.d.b.109.6 |
$q$-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 \(\left(\mathbb{Z}/120\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(41\) | \(61\) | \(97\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.34067 | − | 0.450129i | 0.947994 | − | 0.318290i | ||||
\(3\) | −1.00000 | −0.577350 | ||||||||
\(4\) | 1.59477 | − | 1.20695i | 0.797384 | − | 0.603473i | ||||
\(5\) | 0.254102 | − | 2.22158i | 0.113638 | − | 0.993522i | ||||
\(6\) | −1.34067 | + | 0.450129i | −0.547324 | + | 0.183765i | ||||
\(7\) | 2.64265i | 0.998827i | 0.866364 | + | 0.499414i | \(0.166451\pi\) | ||||
−0.866364 | + | 0.499414i | \(0.833549\pi\) | |||||||
\(8\) | 1.59477 | − | 2.33596i | 0.563835 | − | 0.825887i | ||||
\(9\) | 1.00000 | 0.333333 | ||||||||
\(10\) | −0.659335 | − | 3.09278i | −0.208500 | − | 0.978022i | ||||
\(11\) | 1.51363i | 0.456377i | 0.973617 | + | 0.228189i | \(0.0732803\pi\) | ||||
−0.973617 | + | 0.228189i | \(0.926720\pi\) | |||||||
\(12\) | −1.59477 | + | 1.20695i | −0.460370 | + | 0.348415i | ||||
\(13\) | −3.87086 | −1.07358 | −0.536792 | − | 0.843714i | \(-0.680364\pi\) | ||||
−0.536792 | + | 0.843714i | \(0.680364\pi\) | |||||||
\(14\) | 1.18953 | + | 3.54291i | 0.317916 | + | 0.946882i | ||||
\(15\) | −0.254102 | + | 2.22158i | −0.0656088 | + | 0.573610i | ||||
\(16\) | 1.08656 | − | 3.84959i | 0.271641 | − | 0.962399i | ||||
\(17\) | 3.31415i | 0.803800i | 0.915684 | + | 0.401900i | \(0.131650\pi\) | ||||
−0.915684 | + | 0.401900i | \(0.868350\pi\) | |||||||
\(18\) | 1.34067 | − | 0.450129i | 0.315998 | − | 0.106097i | ||||
\(19\) | 7.08582i | 1.62560i | 0.582545 | + | 0.812799i | \(0.302057\pi\) | ||||
−0.582545 | + | 0.812799i | \(0.697943\pi\) | |||||||
\(20\) | −2.27610 | − | 3.84959i | −0.508951 | − | 0.860796i | ||||
\(21\) | − | 2.64265i | − | 0.576673i | ||||||
\(22\) | 0.681331 | + | 2.02927i | 0.145260 | + | 0.432643i | ||||
\(23\) | − | 4.82778i | − | 1.00666i | −0.864094 | − | 0.503331i | \(-0.832108\pi\) | ||
0.864094 | − | 0.503331i | \(-0.167892\pi\) | |||||||
\(24\) | −1.59477 | + | 2.33596i | −0.325530 | + | 0.476826i | ||||
\(25\) | −4.87086 | − | 1.12902i | −0.974173 | − | 0.225803i | ||||
\(26\) | −5.18953 | + | 1.74239i | −1.01775 | + | 0.341711i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | 3.18953 | + | 4.21441i | 0.602765 | + | 0.796448i | ||||
\(29\) | − | 2.18513i | − | 0.405769i | −0.979203 | − | 0.202885i | \(-0.934968\pi\) | ||
0.979203 | − | 0.202885i | \(-0.0650316\pi\) | |||||||
\(30\) | 0.659335 | + | 3.09278i | 0.120377 | + | 0.564661i | ||||
\(31\) | −7.36266 | −1.32237 | −0.661187 | − | 0.750222i | \(-0.729947\pi\) | ||||
−0.661187 | + | 0.750222i | \(0.729947\pi\) | |||||||
\(32\) | −0.276098 | − | 5.65011i | −0.0488076 | − | 0.998808i | ||||
\(33\) | − | 1.51363i | − | 0.263490i | ||||||
\(34\) | 1.49180 | + | 4.44317i | 0.255841 | + | 0.761997i | ||||
\(35\) | 5.87086 | + | 0.671502i | 0.992357 | + | 0.113504i | ||||
\(36\) | 1.59477 | − | 1.20695i | 0.265795 | − | 0.201158i | ||||
\(37\) | 7.87086 | 1.29396 | 0.646981 | − | 0.762506i | \(-0.276031\pi\) | ||||
0.646981 | + | 0.762506i | \(0.276031\pi\) | |||||||
\(38\) | 3.18953 | + | 9.49971i | 0.517411 | + | 1.54106i | ||||
\(39\) | 3.87086 | 0.619834 | ||||||||
\(40\) | −4.78430 | − | 4.13648i | −0.756464 | − | 0.654035i | ||||
\(41\) | 8.72532 | 1.36267 | 0.681333 | − | 0.731973i | \(-0.261400\pi\) | ||||
0.681333 | + | 0.731973i | \(0.261400\pi\) | |||||||
\(42\) | −1.18953 | − | 3.54291i | −0.183549 | − | 0.546683i | ||||
\(43\) | −1.01641 | −0.155001 | −0.0775003 | − | 0.996992i | \(-0.524694\pi\) | ||||
−0.0775003 | + | 0.996992i | \(0.524694\pi\) | |||||||
\(44\) | 1.82687 | + | 2.41389i | 0.275411 | + | 0.363908i | ||||
\(45\) | 0.254102 | − | 2.22158i | 0.0378792 | − | 0.331174i | ||||
\(46\) | −2.17313 | − | 6.47244i | −0.320410 | − | 0.954309i | ||||
\(47\) | − | 7.08582i | − | 1.03357i | −0.856114 | − | 0.516786i | \(-0.827128\pi\) | ||
0.856114 | − | 0.516786i | \(-0.172872\pi\) | |||||||
\(48\) | −1.08656 | + | 3.84959i | −0.156832 | + | 0.555641i | ||||
\(49\) | 0.0164068 | 0.00234382 | ||||||||
\(50\) | −7.03840 | + | 0.678887i | −0.995380 | + | 0.0960091i | ||||
\(51\) | − | 3.31415i | − | 0.464074i | ||||||
\(52\) | −6.17313 | + | 4.67192i | −0.856059 | + | 0.647879i | ||||
\(53\) | −4.50820 | −0.619249 | −0.309625 | − | 0.950859i | \(-0.600203\pi\) | ||||
−0.309625 | + | 0.950859i | \(0.600203\pi\) | |||||||
\(54\) | −1.34067 | + | 0.450129i | −0.182441 | + | 0.0612549i | ||||
\(55\) | 3.36266 | + | 0.384617i | 0.453421 | + | 0.0518617i | ||||
\(56\) | 6.17313 | + | 4.21441i | 0.824919 | + | 0.563174i | ||||
\(57\) | − | 7.08582i | − | 0.938539i | ||||||
\(58\) | −0.983593 | − | 2.92953i | −0.129152 | − | 0.384667i | ||||
\(59\) | − | 6.79893i | − | 0.885145i | −0.896733 | − | 0.442573i | \(-0.854066\pi\) | ||
0.896733 | − | 0.442573i | \(-0.145934\pi\) | |||||||
\(60\) | 2.27610 | + | 3.84959i | 0.293843 | + | 0.496981i | ||||
\(61\) | 3.60104i | 0.461065i | 0.973065 | + | 0.230533i | \(0.0740469\pi\) | ||||
−0.973065 | + | 0.230533i | \(0.925953\pi\) | |||||||
\(62\) | −9.87086 | + | 3.31415i | −1.25360 | + | 0.420898i | ||||
\(63\) | 2.64265i | 0.332942i | ||||||||
\(64\) | −2.91344 | − | 7.45063i | −0.364180 | − | 0.931329i | ||||
\(65\) | −0.983593 | + | 8.59945i | −0.122000 | + | 1.06663i | ||||
\(66\) | −0.681331 | − | 2.02927i | −0.0838660 | − | 0.249786i | ||||
\(67\) | 1.01641 | 0.124174 | 0.0620869 | − | 0.998071i | \(-0.480224\pi\) | ||||
0.0620869 | + | 0.998071i | \(0.480224\pi\) | |||||||
\(68\) | 4.00000 | + | 5.28530i | 0.485071 | + | 0.640937i | ||||
\(69\) | 4.82778i | 0.581197i | ||||||||
\(70\) | 8.17313 | − | 1.74239i | 0.976876 | − | 0.208255i | ||||
\(71\) | −6.72532 | −0.798149 | −0.399074 | − | 0.916919i | \(-0.630669\pi\) | ||||
−0.399074 | + | 0.916919i | \(0.630669\pi\) | |||||||
\(72\) | 1.59477 | − | 2.33596i | 0.187945 | − | 0.275296i | ||||
\(73\) | − | 15.5146i | − | 1.81585i | −0.419132 | − | 0.907925i | \(-0.637666\pi\) | ||
0.419132 | − | 0.907925i | \(-0.362334\pi\) | |||||||
\(74\) | 10.5522 | − | 3.54291i | 1.22667 | − | 0.411855i | ||||
\(75\) | 4.87086 | + | 1.12902i | 0.562439 | + | 0.130368i | ||||
\(76\) | 8.55220 | + | 11.3002i | 0.981004 | + | 1.29622i | ||||
\(77\) | −4.00000 | −0.455842 | ||||||||
\(78\) | 5.18953 | − | 1.74239i | 0.587599 | − | 0.197287i | ||||
\(79\) | 7.36266 | 0.828364 | 0.414182 | − | 0.910194i | \(-0.364068\pi\) | ||||
0.414182 | + | 0.910194i | \(0.364068\pi\) | |||||||
\(80\) | −8.27610 | − | 3.39208i | −0.925296 | − | 0.379246i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 11.6977 | − | 3.92752i | 1.29180 | − | 0.433723i | ||||
\(83\) | −7.74173 | −0.849765 | −0.424883 | − | 0.905248i | \(-0.639685\pi\) | ||||
−0.424883 | + | 0.905248i | \(0.639685\pi\) | |||||||
\(84\) | −3.18953 | − | 4.21441i | −0.348007 | − | 0.459830i | ||||
\(85\) | 7.36266 | + | 0.842131i | 0.798593 | + | 0.0913420i | ||||
\(86\) | −1.36266 | + | 0.457515i | −0.146940 | + | 0.0493351i | ||||
\(87\) | 2.18513i | 0.234271i | ||||||||
\(88\) | 3.53579 | + | 2.41389i | 0.376916 | + | 0.257322i | ||||
\(89\) | −14.7581 | −1.56436 | −0.782180 | − | 0.623053i | \(-0.785892\pi\) | ||||
−0.782180 | + | 0.623053i | \(0.785892\pi\) | |||||||
\(90\) | −0.659335 | − | 3.09278i | −0.0695000 | − | 0.326007i | ||||
\(91\) | − | 10.2293i | − | 1.07233i | ||||||
\(92\) | −5.82687 | − | 7.69919i | −0.607493 | − | 0.802696i | ||||
\(93\) | 7.36266 | 0.763472 | ||||||||
\(94\) | −3.18953 | − | 9.49971i | −0.328975 | − | 0.979820i | ||||
\(95\) | 15.7417 | + | 1.80052i | 1.61507 | + | 0.184729i | ||||
\(96\) | 0.276098 | + | 5.65011i | 0.0281791 | + | 0.576662i | ||||
\(97\) | 11.1444i | 1.13154i | 0.824563 | + | 0.565769i | \(0.191421\pi\) | ||||
−0.824563 | + | 0.565769i | \(0.808579\pi\) | |||||||
\(98\) | 0.0219960 | − | 0.00738516i | 0.00222193 | − | 0.000746014i | ||||
\(99\) | 1.51363i | 0.152126i | ||||||||
\(100\) | −9.13056 | + | 4.07835i | −0.913056 | + | 0.407835i | ||||
\(101\) | 13.3295i | 1.32633i | 0.748471 | + | 0.663167i | \(0.230788\pi\) | ||||
−0.748471 | + | 0.663167i | \(0.769212\pi\) | |||||||
\(102\) | −1.49180 | − | 4.44317i | −0.147710 | − | 0.439939i | ||||
\(103\) | 0.958386i | 0.0944326i | 0.998885 | + | 0.0472163i | \(0.0150350\pi\) | ||||
−0.998885 | + | 0.0472163i | \(0.984965\pi\) | |||||||
\(104\) | −6.17313 | + | 9.04219i | −0.605325 | + | 0.886660i | ||||
\(105\) | −5.87086 | − | 0.671502i | −0.572938 | − | 0.0655318i | ||||
\(106\) | −6.04399 | + | 2.02927i | −0.587044 | + | 0.197101i | ||||
\(107\) | 4.00000 | 0.386695 | 0.193347 | − | 0.981130i | \(-0.438066\pi\) | ||||
0.193347 | + | 0.981130i | \(0.438066\pi\) | |||||||
\(108\) | −1.59477 | + | 1.20695i | −0.153457 | + | 0.116138i | ||||
\(109\) | 0.769233i | 0.0736792i | 0.999321 | + | 0.0368396i | \(0.0117291\pi\) | ||||
−0.999321 | + | 0.0368396i | \(0.988271\pi\) | |||||||
\(110\) | 4.68133 | − | 0.997991i | 0.446347 | − | 0.0951547i | ||||
\(111\) | −7.87086 | −0.747069 | ||||||||
\(112\) | 10.1731 | + | 2.87141i | 0.961270 | + | 0.271322i | ||||
\(113\) | 14.4585i | 1.36014i | 0.733146 | + | 0.680071i | \(0.238051\pi\) | ||||
−0.733146 | + | 0.680071i | \(0.761949\pi\) | |||||||
\(114\) | −3.18953 | − | 9.49971i | −0.298727 | − | 0.889729i | ||||
\(115\) | −10.7253 | − | 1.22675i | −1.00014 | − | 0.114395i | ||||
\(116\) | −2.63734 | − | 3.48478i | −0.244871 | − | 0.323554i | ||||
\(117\) | −3.87086 | −0.357862 | ||||||||
\(118\) | −3.06040 | − | 9.11509i | −0.281733 | − | 0.839112i | ||||
\(119\) | −8.75814 | −0.802857 | ||||||||
\(120\) | 4.78430 | + | 4.13648i | 0.436745 | + | 0.377607i | ||||
\(121\) | 8.70892 | 0.791720 | ||||||||
\(122\) | 1.62093 | + | 4.82778i | 0.146752 | + | 0.437087i | ||||
\(123\) | −8.72532 | −0.786736 | ||||||||
\(124\) | −11.7417 | + | 8.88633i | −1.05444 | + | 0.798016i | ||||
\(125\) | −3.74590 | + | 10.5341i | −0.335043 | + | 0.942203i | ||||
\(126\) | 1.18953 | + | 3.54291i | 0.105972 | + | 0.315627i | ||||
\(127\) | 11.5290i | 1.02303i | 0.859274 | + | 0.511516i | \(0.170916\pi\) | ||||
−0.859274 | + | 0.511516i | \(0.829084\pi\) | |||||||
\(128\) | −7.25969 | − | 8.67738i | −0.641672 | − | 0.766979i | ||||
\(129\) | 1.01641 | 0.0894896 | ||||||||
\(130\) | 2.55220 | + | 11.9717i | 0.223842 | + | 1.04999i | ||||
\(131\) | − | 7.37270i | − | 0.644156i | −0.946713 | − | 0.322078i | \(-0.895619\pi\) | ||
0.946713 | − | 0.322078i | \(-0.104381\pi\) | |||||||
\(132\) | −1.82687 | − | 2.41389i | −0.159009 | − | 0.210102i | ||||
\(133\) | −18.7253 | −1.62369 | ||||||||
\(134\) | 1.36266 | − | 0.457515i | 0.117716 | − | 0.0395232i | ||||
\(135\) | −0.254102 | + | 2.22158i | −0.0218696 | + | 0.191203i | ||||
\(136\) | 7.74173 | + | 5.28530i | 0.663848 | + | 0.453211i | ||||
\(137\) | − | 3.88792i | − | 0.332167i | −0.986112 | − | 0.166084i | \(-0.946888\pi\) | ||
0.986112 | − | 0.166084i | \(-0.0531122\pi\) | |||||||
\(138\) | 2.17313 | + | 6.47244i | 0.184989 | + | 0.550971i | ||||
\(139\) | − | 14.6291i | − | 1.24083i | −0.784275 | − | 0.620414i | \(-0.786965\pi\) | ||
0.784275 | − | 0.620414i | \(-0.213035\pi\) | |||||||
\(140\) | 10.1731 | − | 6.01493i | 0.859786 | − | 0.508354i | ||||
\(141\) | 7.08582i | 0.596733i | ||||||||
\(142\) | −9.01641 | + | 3.02727i | −0.756640 | + | 0.254042i | ||||
\(143\) | − | 5.85907i | − | 0.489960i | ||||||
\(144\) | 1.08656 | − | 3.84959i | 0.0905470 | − | 0.320800i | ||||
\(145\) | −4.85446 | − | 0.555246i | −0.403141 | − | 0.0461107i | ||||
\(146\) | −6.98359 | − | 20.7999i | −0.577966 | − | 1.72141i | ||||
\(147\) | −0.0164068 | −0.00135321 | ||||||||
\(148\) | 12.5522 | − | 9.49971i | 1.03178 | − | 0.780871i | ||||
\(149\) | − | 11.0715i | − | 0.907010i | −0.891254 | − | 0.453505i | \(-0.850173\pi\) | ||
0.891254 | − | 0.453505i | \(-0.149827\pi\) | |||||||
\(150\) | 7.03840 | − | 0.678887i | 0.574683 | − | 0.0554309i | ||||
\(151\) | 0.637339 | 0.0518659 | 0.0259329 | − | 0.999664i | \(-0.491744\pi\) | ||||
0.0259329 | + | 0.999664i | \(0.491744\pi\) | |||||||
\(152\) | 16.5522 | + | 11.3002i | 1.34256 | + | 0.916569i | ||||
\(153\) | 3.31415i | 0.267933i | ||||||||
\(154\) | −5.36266 | + | 1.80052i | −0.432136 | + | 0.145090i | ||||
\(155\) | −1.87086 | + | 16.3568i | −0.150271 | + | 1.31381i | ||||
\(156\) | 6.17313 | − | 4.67192i | 0.494246 | − | 0.374053i | ||||
\(157\) | −0.129135 | −0.0103061 | −0.00515306 | − | 0.999987i | \(-0.501640\pi\) | ||||
−0.00515306 | + | 0.999987i | \(0.501640\pi\) | |||||||
\(158\) | 9.87086 | − | 3.31415i | 0.785284 | − | 0.263660i | ||||
\(159\) | 4.50820 | 0.357524 | ||||||||
\(160\) | −12.6224 | − | 0.822329i | −0.997885 | − | 0.0650108i | ||||
\(161\) | 12.7581 | 1.00548 | ||||||||
\(162\) | 1.34067 | − | 0.450129i | 0.105333 | − | 0.0353655i | ||||
\(163\) | 19.4835 | 1.52606 | 0.763031 | − | 0.646362i | \(-0.223710\pi\) | ||||
0.763031 | + | 0.646362i | \(0.223710\pi\) | |||||||
\(164\) | 13.9149 | − | 10.5310i | 1.08657 | − | 0.822332i | ||||
\(165\) | −3.36266 | − | 0.384617i | −0.261783 | − | 0.0299424i | ||||
\(166\) | −10.3791 | + | 3.48478i | −0.805572 | + | 0.270471i | ||||
\(167\) | 1.80052i | 0.139328i | 0.997571 | + | 0.0696641i | \(0.0221928\pi\) | ||||
−0.997571 | + | 0.0696641i | \(0.977807\pi\) | |||||||
\(168\) | −6.17313 | − | 4.21441i | −0.476267 | − | 0.325149i | ||||
\(169\) | 1.98359 | 0.152584 | ||||||||
\(170\) | 10.2499 | − | 2.18513i | 0.786134 | − | 0.167592i | ||||
\(171\) | 7.08582i | 0.541866i | ||||||||
\(172\) | −1.62093 | + | 1.22675i | −0.123595 | + | 0.0935386i | ||||
\(173\) | 23.2335 | 1.76641 | 0.883206 | − | 0.468985i | \(-0.155380\pi\) | ||||
0.883206 | + | 0.468985i | \(0.155380\pi\) | |||||||
\(174\) | 0.983593 | + | 2.92953i | 0.0745660 | + | 0.222087i | ||||
\(175\) | 2.98359 | − | 12.8720i | 0.225538 | − | 0.973031i | ||||
\(176\) | 5.82687 | + | 1.64466i | 0.439217 | + | 0.123971i | ||||
\(177\) | 6.79893i | 0.511039i | ||||||||
\(178\) | −19.7857 | + | 6.64307i | −1.48300 | + | 0.497919i | ||||
\(179\) | − | 2.85664i | − | 0.213515i | −0.994285 | − | 0.106757i | \(-0.965953\pi\) | ||
0.994285 | − | 0.106757i | \(-0.0340468\pi\) | |||||||
\(180\) | −2.27610 | − | 3.84959i | −0.169650 | − | 0.286932i | ||||
\(181\) | − | 5.28530i | − | 0.392853i | −0.980519 | − | 0.196427i | \(-0.937066\pi\) | ||
0.980519 | − | 0.196427i | \(-0.0629337\pi\) | |||||||
\(182\) | −4.60453 | − | 13.7141i | −0.341310 | − | 1.01656i | ||||
\(183\) | − | 3.60104i | − | 0.266196i | ||||||
\(184\) | −11.2775 | − | 7.69919i | −0.831390 | − | 0.567592i | ||||
\(185\) | 2.00000 | − | 17.4858i | 0.147043 | − | 1.28558i | ||||
\(186\) | 9.87086 | − | 3.31415i | 0.723767 | − | 0.243005i | ||||
\(187\) | −5.01641 | −0.366836 | ||||||||
\(188\) | −8.55220 | − | 11.3002i | −0.623733 | − | 0.824154i | ||||
\(189\) | − | 2.64265i | − | 0.192224i | ||||||
\(190\) | 21.9149 | − | 4.67192i | 1.58987 | − | 0.338937i | ||||
\(191\) | −5.96719 | −0.431770 | −0.215885 | − | 0.976419i | \(-0.569264\pi\) | ||||
−0.215885 | + | 0.976419i | \(0.569264\pi\) | |||||||
\(192\) | 2.91344 | + | 7.45063i | 0.210259 | + | 0.537703i | ||||
\(193\) | 14.9409i | 1.07547i | 0.843115 | + | 0.537733i | \(0.180719\pi\) | ||||
−0.843115 | + | 0.537733i | \(0.819281\pi\) | |||||||
\(194\) | 5.01641 | + | 14.9409i | 0.360157 | + | 1.07269i | ||||
\(195\) | 0.983593 | − | 8.59945i | 0.0704366 | − | 0.615819i | ||||
\(196\) | 0.0261649 | − | 0.0198021i | 0.00186892 | − | 0.00141443i | ||||
\(197\) | −3.23353 | −0.230379 | −0.115190 | − | 0.993344i | \(-0.536748\pi\) | ||||
−0.115190 | + | 0.993344i | \(0.536748\pi\) | |||||||
\(198\) | 0.681331 | + | 2.02927i | 0.0484201 | + | 0.144214i | ||||
\(199\) | 8.12080 | 0.575668 | 0.287834 | − | 0.957680i | \(-0.407065\pi\) | ||||
0.287834 | + | 0.957680i | \(0.407065\pi\) | |||||||
\(200\) | −10.4052 | + | 9.57764i | −0.735761 | + | 0.677241i | ||||
\(201\) | −1.01641 | −0.0716918 | ||||||||
\(202\) | 6.00000 | + | 17.8704i | 0.422159 | + | 1.25736i | ||||
\(203\) | 5.77454 | 0.405293 | ||||||||
\(204\) | −4.00000 | − | 5.28530i | −0.280056 | − | 0.370045i | ||||
\(205\) | 2.21712 | − | 19.3840i | 0.154850 | − | 1.35384i | ||||
\(206\) | 0.431398 | + | 1.28488i | 0.0300569 | + | 0.0895215i | ||||
\(207\) | − | 4.82778i | − | 0.335554i | ||||||
\(208\) | −4.20594 | + | 14.9013i | −0.291630 | + | 1.03322i | ||||
\(209\) | −10.7253 | −0.741886 | ||||||||
\(210\) | −8.17313 | + | 1.74239i | −0.563999 | + | 0.120236i | ||||
\(211\) | 13.7141i | 0.944119i | 0.881567 | + | 0.472059i | \(0.156489\pi\) | ||||
−0.881567 | + | 0.472059i | \(0.843511\pi\) | |||||||
\(212\) | −7.18953 | + | 5.44116i | −0.493779 | + | 0.373700i | ||||
\(213\) | 6.72532 | 0.460812 | ||||||||
\(214\) | 5.36266 | − | 1.80052i | 0.366584 | − | 0.123081i | ||||
\(215\) | −0.258271 | + | 2.25803i | −0.0176139 | + | 0.153997i | ||||
\(216\) | −1.59477 | + | 2.33596i | −0.108510 | + | 0.158942i | ||||
\(217\) | − | 19.4569i | − | 1.32082i | ||||||
\(218\) | 0.346255 | + | 1.03128i | 0.0234513 | + | 0.0698474i | ||||
\(219\) | 15.5146i | 1.04838i | ||||||||
\(220\) | 5.82687 | − | 3.44518i | 0.392848 | − | 0.232274i | ||||
\(221\) | − | 12.8286i | − | 0.862947i | ||||||
\(222\) | −10.5522 | + | 3.54291i | −0.708217 | + | 0.237784i | ||||
\(223\) | 9.84472i | 0.659251i | 0.944112 | + | 0.329626i | \(0.106923\pi\) | ||||
−0.944112 | + | 0.329626i | \(0.893077\pi\) | |||||||
\(224\) | 14.9313 | − | 0.729629i | 0.997637 | − | 0.0487504i | ||||
\(225\) | −4.87086 | − | 1.12902i | −0.324724 | − | 0.0752677i | ||||
\(226\) | 6.50820 | + | 19.3840i | 0.432919 | + | 1.28941i | ||||
\(227\) | 5.70892 | 0.378914 | 0.189457 | − | 0.981889i | \(-0.439327\pi\) | ||||
0.189457 | + | 0.981889i | \(0.439327\pi\) | |||||||
\(228\) | −8.55220 | − | 11.3002i | −0.566383 | − | 0.748376i | ||||
\(229\) | − | 0.769233i | − | 0.0508324i | −0.999677 | − | 0.0254162i | \(-0.991909\pi\) | ||
0.999677 | − | 0.0254162i | \(-0.00809109\pi\) | |||||||
\(230\) | −14.9313 | + | 3.18312i | −0.984538 | + | 0.209889i | ||||
\(231\) | 4.00000 | 0.263181 | ||||||||
\(232\) | −5.10439 | − | 3.48478i | −0.335120 | − | 0.228787i | ||||
\(233\) | − | 18.4008i | − | 1.20548i | −0.797939 | − | 0.602739i | \(-0.794076\pi\) | ||
0.797939 | − | 0.602739i | \(-0.205924\pi\) | |||||||
\(234\) | −5.18953 | + | 1.74239i | −0.339250 | + | 0.113904i | ||||
\(235\) | −15.7417 | − | 1.80052i | −1.02688 | − | 0.117453i | ||||
\(236\) | −8.20594 | − | 10.8427i | −0.534161 | − | 0.705800i | ||||
\(237\) | −7.36266 | −0.478256 | ||||||||
\(238\) | −11.7417 | + | 3.94229i | −0.761103 | + | 0.255541i | ||||
\(239\) | −10.0328 | −0.648969 | −0.324484 | − | 0.945891i | \(-0.605191\pi\) | ||||
−0.324484 | + | 0.945891i | \(0.605191\pi\) | |||||||
\(240\) | 8.27610 | + | 3.39208i | 0.534220 | + | 0.218958i | ||||
\(241\) | 10.7581 | 0.692992 | 0.346496 | − | 0.938051i | \(-0.387371\pi\) | ||||
0.346496 | + | 0.938051i | \(0.387371\pi\) | |||||||
\(242\) | 11.6757 | − | 3.92014i | 0.750545 | − | 0.251996i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 4.34625 | + | 5.74281i | 0.278240 | + | 0.367646i | ||||
\(245\) | 0.00416898 | − | 0.0364490i | 0.000266347 | − | 0.00232864i | ||||
\(246\) | −11.6977 | + | 3.92752i | −0.745820 | + | 0.250410i | ||||
\(247\) | − | 27.4282i | − | 1.74522i | ||||||
\(248\) | −11.7417 | + | 17.1989i | −0.745601 | + | 1.09213i | ||||
\(249\) | 7.74173 | 0.490612 | ||||||||
\(250\) | −0.280267 | + | 15.8089i | −0.0177256 | + | 0.999843i | ||||
\(251\) | 12.6580i | 0.798966i | 0.916741 | + | 0.399483i | \(0.130810\pi\) | ||||
−0.916741 | + | 0.399483i | \(0.869190\pi\) | |||||||
\(252\) | 3.18953 | + | 4.21441i | 0.200922 | + | 0.265483i | ||||
\(253\) | 7.30749 | 0.459418 | ||||||||
\(254\) | 5.18953 | + | 15.4565i | 0.325620 | + | 0.969827i | ||||
\(255\) | −7.36266 | − | 0.842131i | −0.461068 | − | 0.0527363i | ||||
\(256\) | −13.6388 | − | 8.36566i | −0.852422 | − | 0.522854i | ||||
\(257\) | − | 13.3110i | − | 0.830316i | −0.909749 | − | 0.415158i | \(-0.863726\pi\) | ||
0.909749 | − | 0.415158i | \(-0.136274\pi\) | |||||||
\(258\) | 1.36266 | − | 0.457515i | 0.0848356 | − | 0.0284836i | ||||
\(259\) | 20.7999i | 1.29244i | ||||||||
\(260\) | 8.81047 | + | 14.9013i | 0.546402 | + | 0.924137i | ||||
\(261\) | − | 2.18513i | − | 0.135256i | ||||||
\(262\) | −3.31867 | − | 9.88432i | −0.205028 | − | 0.610656i | ||||
\(263\) | 18.4256i | 1.13617i | 0.822969 | + | 0.568087i | \(0.192316\pi\) | ||||
−0.822969 | + | 0.568087i | \(0.807684\pi\) | |||||||
\(264\) | −3.53579 | − | 2.41389i | −0.217613 | − | 0.148565i | ||||
\(265\) | −1.14554 | + | 10.0153i | −0.0703701 | + | 0.615238i | ||||
\(266\) | −25.1044 | + | 8.42882i | −1.53925 | + | 0.516804i | ||||
\(267\) | 14.7581 | 0.903183 | ||||||||
\(268\) | 1.62093 | − | 1.22675i | 0.0990142 | − | 0.0749356i | ||||
\(269\) | − | 3.86940i | − | 0.235921i | −0.993018 | − | 0.117961i | \(-0.962364\pi\) | ||
0.993018 | − | 0.117961i | \(-0.0376357\pi\) | |||||||
\(270\) | 0.659335 | + | 3.09278i | 0.0401258 | + | 0.188220i | ||||
\(271\) | −17.3955 | −1.05670 | −0.528350 | − | 0.849027i | \(-0.677189\pi\) | ||||
−0.528350 | + | 0.849027i | \(0.677189\pi\) | |||||||
\(272\) | 12.7581 | + | 3.60104i | 0.773576 | + | 0.218345i | ||||
\(273\) | 10.2293i | 0.619108i | ||||||||
\(274\) | −1.75007 | − | 5.21240i | −0.105725 | − | 0.314893i | ||||
\(275\) | 1.70892 | − | 7.37270i | 0.103052 | − | 0.444591i | ||||
\(276\) | 5.82687 | + | 7.69919i | 0.350737 | + | 0.463437i | ||||
\(277\) | −0.887271 | −0.0533110 | −0.0266555 | − | 0.999645i | \(-0.508486\pi\) | ||||
−0.0266555 | + | 0.999645i | \(0.508486\pi\) | |||||||
\(278\) | −6.58501 | − | 19.6128i | −0.394943 | − | 1.17630i | ||||
\(279\) | −7.36266 | −0.440791 | ||||||||
\(280\) | 10.9313 | − | 12.6432i | 0.653268 | − | 0.755577i | ||||
\(281\) | −13.4835 | −0.804356 | −0.402178 | − | 0.915562i | \(-0.631747\pi\) | ||||
−0.402178 | + | 0.915562i | \(0.631747\pi\) | |||||||
\(282\) | 3.18953 | + | 9.49971i | 0.189934 | + | 0.565699i | ||||
\(283\) | 28.4342 | 1.69024 | 0.845120 | − | 0.534577i | \(-0.179529\pi\) | ||||
0.845120 | + | 0.534577i | \(0.179529\pi\) | |||||||
\(284\) | −10.7253 | + | 8.11710i | −0.636431 | + | 0.481661i | ||||
\(285\) | −15.7417 | − | 1.80052i | −0.932460 | − | 0.106653i | ||||
\(286\) | −2.63734 | − | 7.85505i | −0.155949 | − | 0.464479i | ||||
\(287\) | 23.0580i | 1.36107i | ||||||||
\(288\) | −0.276098 | − | 5.65011i | −0.0162692 | − | 0.332936i | ||||
\(289\) | 6.01641 | 0.353906 | ||||||||
\(290\) | −6.75814 | + | 1.44073i | −0.396851 | + | 0.0846029i | ||||
\(291\) | − | 11.1444i | − | 0.653294i | ||||||
\(292\) | −18.7253 | − | 24.7422i | −1.09582 | − | 1.44793i | ||||
\(293\) | 7.99166 | 0.466878 | 0.233439 | − | 0.972371i | \(-0.425002\pi\) | ||||
0.233439 | + | 0.972371i | \(0.425002\pi\) | |||||||
\(294\) | −0.0219960 | + | 0.00738516i | −0.00128283 | + | 0.000430711i | ||||
\(295\) | −15.1044 | − | 1.72762i | −0.879412 | − | 0.100586i | ||||
\(296\) | 12.5522 | − | 18.3860i | 0.729582 | − | 1.06867i | ||||
\(297\) | − | 1.51363i | − | 0.0878299i | ||||||
\(298\) | −4.98359 | − | 14.8431i | −0.288692 | − | 0.859840i | ||||
\(299\) | 18.6877i | 1.08074i | ||||||||
\(300\) | 9.13056 | − | 4.07835i | 0.527153 | − | 0.235464i | ||||
\(301\) | − | 2.68601i | − | 0.154819i | ||||||
\(302\) | 0.854458 | − | 0.286885i | 0.0491685 | − | 0.0165084i | ||||
\(303\) | − | 13.3295i | − | 0.765760i | ||||||
\(304\) | 27.2775 | + | 7.69919i | 1.56447 | + | 0.441579i | ||||
\(305\) | 8.00000 | + | 0.915029i | 0.458079 | + | 0.0523944i | ||||
\(306\) | 1.49180 | + | 4.44317i | 0.0852803 | + | 0.253999i | ||||
\(307\) | −17.4506 | −0.995961 | −0.497980 | − | 0.867188i | \(-0.665925\pi\) | ||||
−0.497980 | + | 0.867188i | \(0.665925\pi\) | |||||||
\(308\) | −6.37907 | + | 4.82778i | −0.363481 | + | 0.275088i | ||||
\(309\) | − | 0.958386i | − | 0.0545207i | ||||||
\(310\) | 4.85446 | + | 22.7711i | 0.275715 | + | 1.29331i | ||||
\(311\) | 21.4506 | 1.21635 | 0.608177 | − | 0.793801i | \(-0.291901\pi\) | ||||
0.608177 | + | 0.793801i | \(0.291901\pi\) | |||||||
\(312\) | 6.17313 | − | 9.04219i | 0.349485 | − | 0.511913i | ||||
\(313\) | 7.73879i | 0.437422i | 0.975790 | + | 0.218711i | \(0.0701853\pi\) | ||||
−0.975790 | + | 0.218711i | \(0.929815\pi\) | |||||||
\(314\) | −0.173127 | + | 0.0581276i | −0.00977014 | + | 0.00328033i | ||||
\(315\) | 5.87086 | + | 0.671502i | 0.330786 | + | 0.0378348i | ||||
\(316\) | 11.7417 | − | 8.88633i | 0.660524 | − | 0.499895i | ||||
\(317\) | −11.2335 | −0.630938 | −0.315469 | − | 0.948936i | \(-0.602162\pi\) | ||||
−0.315469 | + | 0.948936i | \(0.602162\pi\) | |||||||
\(318\) | 6.04399 | − | 2.02927i | 0.338930 | − | 0.113796i | ||||
\(319\) | 3.30749 | 0.185184 | ||||||||
\(320\) | −17.2925 | + | 4.57922i | −0.966680 | + | 0.255986i | ||||
\(321\) | −4.00000 | −0.223258 | ||||||||
\(322\) | 17.1044 | − | 5.74281i | 0.953190 | − | 0.320034i | ||||
\(323\) | −23.4835 | −1.30665 | ||||||||
\(324\) | 1.59477 | − | 1.20695i | 0.0885982 | − | 0.0670525i | ||||
\(325\) | 18.8545 | + | 4.37027i | 1.04586 | + | 0.242419i | ||||
\(326\) | 26.1208 | − | 8.77008i | 1.44670 | − | 0.485730i | ||||
\(327\) | − | 0.769233i | − | 0.0425387i | ||||||
\(328\) | 13.9149 | − | 20.3820i | 0.768319 | − | 1.12541i | ||||
\(329\) | 18.7253 | 1.03236 | ||||||||
\(330\) | −4.68133 | + | 0.997991i | −0.257699 | + | 0.0549376i | ||||
\(331\) | − | 8.00084i | − | 0.439766i | −0.975526 | − | 0.219883i | \(-0.929432\pi\) | ||
0.975526 | − | 0.219883i | \(-0.0705676\pi\) | |||||||
\(332\) | −12.3463 | + | 9.34385i | −0.677589 | + | 0.512810i | ||||
\(333\) | 7.87086 | 0.431321 | ||||||||
\(334\) | 0.810466 | + | 2.41389i | 0.0443467 | + | 0.132082i | ||||
\(335\) | 0.258271 | − | 2.25803i | 0.0141108 | − | 0.123369i | ||||
\(336\) | −10.1731 | − | 2.87141i | −0.554990 | − | 0.156648i | ||||
\(337\) | 21.5692i | 1.17495i | 0.809243 | + | 0.587474i | \(0.199877\pi\) | ||||
−0.809243 | + | 0.587474i | \(0.800123\pi\) | |||||||
\(338\) | 2.65933 | − | 0.892874i | 0.144649 | − | 0.0485659i | ||||
\(339\) | − | 14.4585i | − | 0.785279i | ||||||
\(340\) | 12.7581 | − | 7.54333i | 0.691907 | − | 0.409095i | ||||
\(341\) | − | 11.1444i | − | 0.603501i | ||||||
\(342\) | 3.18953 | + | 9.49971i | 0.172470 | + | 0.513685i | ||||
\(343\) | 18.5419i | 1.00117i | ||||||||
\(344\) | −1.62093 | + | 2.37429i | −0.0873948 | + | 0.128013i | ||||
\(345\) | 10.7253 | + | 1.22675i | 0.577432 | + | 0.0660459i | ||||
\(346\) | 31.1484 | − | 10.4581i | 1.67455 | − | 0.562231i | ||||
\(347\) | −21.7089 | −1.16540 | −0.582698 | − | 0.812689i | \(-0.698003\pi\) | ||||
−0.582698 | + | 0.812689i | \(0.698003\pi\) | |||||||
\(348\) | 2.63734 | + | 3.48478i | 0.141376 | + | 0.186804i | ||||
\(349\) | 24.7422i | 1.32442i | 0.749318 | + | 0.662211i | \(0.230382\pi\) | ||||
−0.749318 | + | 0.662211i | \(0.769618\pi\) | |||||||
\(350\) | −1.79406 | − | 18.6000i | −0.0958965 | − | 0.994213i | ||||
\(351\) | 3.87086 | 0.206611 | ||||||||
\(352\) | 8.55220 | − | 0.417910i | 0.455834 | − | 0.0222747i | ||||
\(353\) | 3.31415i | 0.176394i | 0.996103 | + | 0.0881972i | \(0.0281106\pi\) | ||||
−0.996103 | + | 0.0881972i | \(0.971889\pi\) | |||||||
\(354\) | 3.06040 | + | 9.11509i | 0.162658 | + | 0.484462i | ||||
\(355\) | −1.70892 | + | 14.9409i | −0.0906998 | + | 0.792979i | ||||
\(356\) | −23.5358 | + | 17.8123i | −1.24739 | + | 0.944048i | ||||
\(357\) | 8.75814 | 0.463530 | ||||||||
\(358\) | −1.28586 | − | 3.82979i | −0.0679596 | − | 0.202411i | ||||
\(359\) | 16.7581 | 0.884461 | 0.442230 | − | 0.896902i | \(-0.354187\pi\) | ||||
0.442230 | + | 0.896902i | \(0.354187\pi\) | |||||||
\(360\) | −4.78430 | − | 4.13648i | −0.252155 | − | 0.218012i | ||||
\(361\) | −31.2088 | −1.64257 | ||||||||
\(362\) | −2.37907 | − | 7.08582i | −0.125041 | − | 0.372422i | ||||
\(363\) | −8.70892 | −0.457100 | ||||||||
\(364\) | −12.3463 | − | 16.3134i | −0.647120 | − | 0.855055i | ||||
\(365\) | −34.4671 | − | 3.94229i | −1.80409 | − | 0.206349i | ||||
\(366\) | −1.62093 | − | 4.82778i | −0.0847275 | − | 0.252352i | ||||
\(367\) | − | 28.5324i | − | 1.48938i | −0.667411 | − | 0.744690i | \(-0.732597\pi\) | ||
0.667411 | − | 0.744690i | \(-0.267403\pi\) | |||||||
\(368\) | −18.5850 | − | 5.24569i | −0.968811 | − | 0.273451i | ||||
\(369\) | 8.72532 | 0.454222 | ||||||||
\(370\) | −5.18953 | − | 24.3428i | −0.269791 | − | 1.26552i | ||||
\(371\) | − | 11.9136i | − | 0.618523i | ||||||
\(372\) | 11.7417 | − | 8.88633i | 0.608780 | − | 0.460735i | ||||
\(373\) | −37.5798 | −1.94581 | −0.972904 | − | 0.231211i | \(-0.925731\pi\) | ||||
−0.972904 | + | 0.231211i | \(0.925731\pi\) | |||||||
\(374\) | −6.72532 | + | 2.25803i | −0.347758 | + | 0.116760i | ||||
\(375\) | 3.74590 | − | 10.5341i | 0.193437 | − | 0.543981i | ||||
\(376\) | −16.5522 | − | 11.3002i | −0.853614 | − | 0.582765i | ||||
\(377\) | 8.45836i | 0.435628i | ||||||||
\(378\) | −1.18953 | − | 3.54291i | −0.0611830 | − | 0.182228i | ||||
\(379\) | − | 6.74456i | − | 0.346445i | −0.984883 | − | 0.173222i | \(-0.944582\pi\) | ||
0.984883 | − | 0.173222i | \(-0.0554179\pi\) | |||||||
\(380\) | 27.2775 | − | 16.1280i | 1.39931 | − | 0.827349i | ||||
\(381\) | − | 11.5290i | − | 0.590648i | ||||||
\(382\) | −8.00000 | + | 2.68601i | −0.409316 | + | 0.137428i | ||||
\(383\) | 21.8312i | 1.11552i | 0.830001 | + | 0.557762i | \(0.188340\pi\) | ||||
−0.830001 | + | 0.557762i | \(0.811660\pi\) | |||||||
\(384\) | 7.25969 | + | 8.67738i | 0.370470 | + | 0.442816i | ||||
\(385\) | −1.01641 | + | 8.88633i | −0.0518009 | + | 0.452889i | ||||
\(386\) | 6.72532 | + | 20.0307i | 0.342310 | + | 1.01954i | ||||
\(387\) | −1.01641 | −0.0516669 | ||||||||
\(388\) | 13.4506 | + | 17.7727i | 0.682853 | + | 0.902270i | ||||
\(389\) | 8.81344i | 0.446859i | 0.974720 | + | 0.223429i | \(0.0717252\pi\) | ||||
−0.974720 | + | 0.223429i | \(0.928275\pi\) | |||||||
\(390\) | −2.55220 | − | 11.9717i | −0.129235 | − | 0.606212i | ||||
\(391\) | 16.0000 | 0.809155 | ||||||||
\(392\) | 0.0261649 | − | 0.0383256i | 0.00132153 | − | 0.00193573i | ||||
\(393\) | 7.37270i | 0.371904i | ||||||||
\(394\) | −4.33508 | + | 1.45551i | −0.218398 | + | 0.0733273i | ||||
\(395\) | 1.87086 | − | 16.3568i | 0.0941334 | − | 0.822998i | ||||
\(396\) | 1.82687 | + | 2.41389i | 0.0918038 | + | 0.121303i | ||||
\(397\) | 0.821644 | 0.0412372 | 0.0206186 | − | 0.999787i | \(-0.493436\pi\) | ||||
0.0206186 | + | 0.999787i | \(0.493436\pi\) | |||||||
\(398\) | 10.8873 | − | 3.65541i | 0.545730 | − | 0.183229i | ||||
\(399\) | 18.7253 | 0.937439 | ||||||||
\(400\) | −9.63876 | + | 17.5241i | −0.481938 | + | 0.876205i | ||||
\(401\) | −12.7253 | −0.635472 | −0.317736 | − | 0.948179i | \(-0.602923\pi\) | ||||
−0.317736 | + | 0.948179i | \(0.602923\pi\) | |||||||
\(402\) | −1.36266 | + | 0.457515i | −0.0679634 | + | 0.0228188i | ||||
\(403\) | 28.4999 | 1.41968 | ||||||||
\(404\) | 16.0880 | + | 21.2574i | 0.800407 | + | 1.05760i | ||||
\(405\) | 0.254102 | − | 2.22158i | 0.0126264 | − | 0.110391i | ||||
\(406\) | 7.74173 | − | 2.59929i | 0.384216 | − | 0.129001i | ||||
\(407\) | 11.9136i | 0.590535i | ||||||||
\(408\) | −7.74173 | − | 5.28530i | −0.383273 | − | 0.261661i | ||||
\(409\) | −2.25827 | −0.111664 | −0.0558321 | − | 0.998440i | \(-0.517781\pi\) | ||||
−0.0558321 | + | 0.998440i | \(0.517781\pi\) | |||||||
\(410\) | −5.75291 | − | 26.9855i | −0.284116 | − | 1.33272i | ||||
\(411\) | 3.88792i | 0.191777i | ||||||||
\(412\) | 1.15672 | + | 1.52840i | 0.0569875 | + | 0.0752990i | ||||
\(413\) | 17.9672 | 0.884107 | ||||||||
\(414\) | −2.17313 | − | 6.47244i | −0.106803 | − | 0.318103i | ||||
\(415\) | −1.96719 | + | 17.1989i | −0.0965654 | + | 0.844261i | ||||
\(416\) | 1.06874 | + | 21.8708i | 0.0523991 | + | 1.07231i | ||||
\(417\) | 14.6291i | 0.716392i | ||||||||
\(418\) | −14.3791 | + | 4.82778i | −0.703303 | + | 0.236135i | ||||
\(419\) | − | 33.4579i | − | 1.63453i | −0.576264 | − | 0.817263i | \(-0.695490\pi\) | ||
0.576264 | − | 0.817263i | \(-0.304510\pi\) | |||||||
\(420\) | −10.1731 | + | 6.01493i | −0.496398 | + | 0.293498i | ||||
\(421\) | 11.3398i | 0.552669i | 0.961061 | + | 0.276335i | \(0.0891198\pi\) | ||||
−0.961061 | + | 0.276335i | \(0.910880\pi\) | |||||||
\(422\) | 6.17313 | + | 18.3860i | 0.300503 | + | 0.895018i | ||||
\(423\) | − | 7.08582i | − | 0.344524i | ||||||
\(424\) | −7.18953 | + | 10.5310i | −0.349155 | + | 0.511430i | ||||
\(425\) | 3.74173 | − | 16.1428i | 0.181501 | − | 0.783040i | ||||
\(426\) | 9.01641 | − | 3.02727i | 0.436846 | − | 0.146671i | ||||
\(427\) | −9.51627 | −0.460525 | ||||||||
\(428\) | 6.37907 | − | 4.82778i | 0.308344 | − | 0.233360i | ||||
\(429\) | 5.85907i | 0.282878i | ||||||||
\(430\) | 0.670152 | + | 3.14352i | 0.0323176 | + | 0.151594i | ||||
\(431\) | 10.6597 | 0.513459 | 0.256730 | − | 0.966483i | \(-0.417355\pi\) | ||||
0.256730 | + | 0.966483i | \(0.417355\pi\) | |||||||
\(432\) | −1.08656 | + | 3.84959i | −0.0522773 | + | 0.185214i | ||||
\(433\) | − | 26.5132i | − | 1.27414i | −0.770805 | − | 0.637072i | \(-0.780146\pi\) | ||
0.770805 | − | 0.637072i | \(-0.219854\pi\) | |||||||
\(434\) | −8.75814 | − | 26.0852i | −0.420404 | − | 1.25213i | ||||
\(435\) | 4.85446 | + | 0.555246i | 0.232753 | + | 0.0266220i | ||||
\(436\) | 0.928423 | + | 1.22675i | 0.0444634 | + | 0.0587506i | ||||
\(437\) | 34.2088 | 1.63643 | ||||||||
\(438\) | 6.98359 | + | 20.7999i | 0.333689 | + | 0.993859i | ||||
\(439\) | −32.8789 | −1.56923 | −0.784613 | − | 0.619986i | \(-0.787138\pi\) | ||||
−0.784613 | + | 0.619986i | \(0.787138\pi\) | |||||||
\(440\) | 6.26111 | − | 7.24167i | 0.298487 | − | 0.345233i | ||||
\(441\) | 0.0164068 | 0.000781274 | ||||||||
\(442\) | −5.77454 | − | 17.1989i | −0.274667 | − | 0.818068i | ||||
\(443\) | −5.70892 | −0.271239 | −0.135619 | − | 0.990761i | \(-0.543302\pi\) | ||||
−0.135619 | + | 0.990761i | \(0.543302\pi\) | |||||||
\(444\) | −12.5522 | + | 9.49971i | −0.595701 | + | 0.450836i | ||||
\(445\) | −3.75007 | + | 32.7864i | −0.177770 | + | 1.55423i | ||||
\(446\) | 4.43140 | + | 13.1985i | 0.209833 | + | 0.624966i | ||||
\(447\) | 11.0715i | 0.523662i | ||||||||
\(448\) | 19.6894 | − | 7.69919i | 0.930237 | − | 0.363753i | ||||
\(449\) | 2.00000 | 0.0943858 | 0.0471929 | − | 0.998886i | \(-0.484972\pi\) | ||||
0.0471929 | + | 0.998886i | \(0.484972\pi\) | |||||||
\(450\) | −7.03840 | + | 0.678887i | −0.331793 | + | 0.0320030i | ||||
\(451\) | 13.2069i | 0.621890i | ||||||||
\(452\) | 17.4506 | + | 23.0580i | 0.820809 | + | 1.08456i | ||||
\(453\) | −0.637339 | −0.0299448 | ||||||||
\(454\) | 7.65375 | − | 2.56975i | 0.359208 | − | 0.120604i | ||||
\(455\) | −22.7253 | − | 2.59929i | −1.06538 | − | 0.121857i | ||||
\(456\) | −16.5522 | − | 11.3002i | −0.775128 | − | 0.529182i | ||||
\(457\) | − | 3.94229i | − | 0.184413i | −0.995740 | − | 0.0922064i | \(-0.970608\pi\) | ||
0.995740 | − | 0.0922064i | \(-0.0293920\pi\) | |||||||
\(458\) | −0.346255 | − | 1.03128i | −0.0161794 | − | 0.0481888i | ||||
\(459\) | − | 3.31415i | − | 0.154691i | ||||||
\(460\) | −18.5850 | + | 10.9885i | −0.866531 | + | 0.512342i | ||||
\(461\) | 33.8969i | 1.57874i | 0.613920 | + | 0.789369i | \(0.289592\pi\) | ||||
−0.613920 | + | 0.789369i | \(0.710408\pi\) | |||||||
\(462\) | 5.36266 | − | 1.80052i | 0.249494 | − | 0.0837677i | ||||
\(463\) | − | 22.8688i | − | 1.06280i | −0.847120 | − | 0.531402i | \(-0.821665\pi\) | ||
0.847120 | − | 0.531402i | \(-0.178335\pi\) | |||||||
\(464\) | −8.41188 | − | 2.37429i | −0.390512 | − | 0.110224i | ||||
\(465\) | 1.87086 | − | 16.3568i | 0.0867593 | − | 0.758527i | ||||
\(466\) | −8.28275 | − | 24.6693i | −0.383691 | − | 1.14278i | ||||
\(467\) | 15.7417 | 0.728440 | 0.364220 | − | 0.931313i | \(-0.381336\pi\) | ||||
0.364220 | + | 0.931313i | \(0.381336\pi\) | |||||||
\(468\) | −6.17313 | + | 4.67192i | −0.285353 | + | 0.215960i | ||||
\(469\) | 2.68601i | 0.124028i | ||||||||
\(470\) | −21.9149 | + | 4.67192i | −1.01086 | + | 0.215500i | ||||
\(471\) | 0.129135 | 0.00595024 | ||||||||
\(472\) | −15.8820 | − | 10.8427i | −0.731030 | − | 0.499076i | ||||
\(473\) | − | 1.53847i | − | 0.0707388i | ||||||
\(474\) | −9.87086 | + | 3.31415i | −0.453384 | + | 0.152224i | ||||
\(475\) | 8.00000 | − | 34.5140i | 0.367065 | − | 1.58361i | ||||
\(476\) | −13.9672 | + | 10.5706i | −0.640185 | + | 0.484502i | ||||
\(477\) | −4.50820 | −0.206416 | ||||||||
\(478\) | −13.4506 | + | 4.51606i | −0.615218 | + | 0.206560i | ||||
\(479\) | −20.6925 | −0.945465 | −0.472732 | − | 0.881206i | \(-0.656732\pi\) | ||||
−0.472732 | + | 0.881206i | \(0.656732\pi\) | |||||||
\(480\) | 12.6224 | + | 0.822329i | 0.576129 | + | 0.0375340i | ||||
\(481\) | −30.4671 | −1.38918 | ||||||||
\(482\) | 14.4231 | − | 4.84255i | 0.656952 | − | 0.220572i | ||||
\(483\) | −12.7581 | −0.580515 | ||||||||
\(484\) | 13.8887 | − | 10.5112i | 0.631304 | − | 0.477781i | ||||
\(485\) | 24.7581 | + | 2.83180i | 1.12421 | + | 0.128586i | ||||
\(486\) | −1.34067 | + | 0.450129i | −0.0608138 | + | 0.0204183i | ||||
\(487\) | 30.8401i | 1.39750i | 0.715366 | + | 0.698750i | \(0.246260\pi\) | ||||
−0.715366 | + | 0.698750i | \(0.753740\pi\) | |||||||
\(488\) | 8.41188 | + | 5.74281i | 0.380788 | + | 0.259965i | ||||
\(489\) | −19.4835 | −0.881072 | ||||||||
\(490\) | −0.0108175 | − | 0.0507425i | −0.000488687 | − | 0.00229231i | ||||
\(491\) | 10.9737i | 0.495238i | 0.968858 | + | 0.247619i | \(0.0796481\pi\) | ||||
−0.968858 | + | 0.247619i | \(0.920352\pi\) | |||||||
\(492\) | −13.9149 | + | 10.5310i | −0.627330 | + | 0.474774i | ||||
\(493\) | 7.24186 | 0.326157 | ||||||||
\(494\) | −12.3463 | − | 36.7721i | −0.555484 | − | 1.65445i | ||||
\(495\) | 3.36266 | + | 0.384617i | 0.151140 | + | 0.0172872i | ||||
\(496\) | −8.00000 | + | 28.3433i | −0.359211 | + | 1.27265i | ||||
\(497\) | − | 17.7727i | − | 0.797213i | ||||||
\(498\) | 10.3791 | − | 3.48478i | 0.465097 | − | 0.156157i | ||||
\(499\) | 3.71729i | 0.166409i | 0.996533 | + | 0.0832044i | \(0.0265154\pi\) | ||||
−0.996533 | + | 0.0832044i | \(0.973485\pi\) | |||||||
\(500\) | 6.74031 | + | 21.3206i | 0.301436 | + | 0.953486i | ||||
\(501\) | − | 1.80052i | − | 0.0804412i | ||||||
\(502\) | 5.69774 | + | 16.9701i | 0.254302 | + | 0.757414i | ||||
\(503\) | − | 39.9451i | − | 1.78107i | −0.454919 | − | 0.890533i | \(-0.650332\pi\) | ||
0.454919 | − | 0.890533i | \(-0.349668\pi\) | |||||||
\(504\) | 6.17313 | + | 4.21441i | 0.274973 | + | 0.187725i | ||||
\(505\) | 29.6126 | + | 3.38705i | 1.31774 | + | 0.150722i | ||||
\(506\) | 9.79690 | − | 3.28932i | 0.435525 | − | 0.146228i | ||||
\(507\) | −1.98359 | −0.0880945 | ||||||||
\(508\) | 13.9149 | + | 18.3860i | 0.617372 | + | 0.815749i | ||||
\(509\) | − | 0.0728979i | − | 0.00323114i | −0.999999 | − | 0.00161557i | \(-0.999486\pi\) | ||
0.999999 | − | 0.00161557i | \(-0.000514253\pi\) | |||||||
\(510\) | −10.2499 | + | 2.18513i | −0.453875 | + | 0.0967594i | ||||
\(511\) | 40.9997 | 1.81372 | ||||||||
\(512\) | −22.0506 | − | 5.07634i | −0.974510 | − | 0.224345i | ||||
\(513\) | − | 7.08582i | − | 0.312846i | ||||||
\(514\) | −5.99166 | − | 17.8456i | −0.264281 | − | 0.787134i | ||||
\(515\) | 2.12914 | + | 0.243528i | 0.0938209 | + | 0.0107311i | ||||
\(516\) | 1.62093 | − | 1.22675i | 0.0713576 | − | 0.0540046i | ||||
\(517\) | 10.7253 | 0.471699 | ||||||||
\(518\) | 9.36266 | + | 27.8857i | 0.411372 | + | 1.22523i | ||||
\(519\) | −23.2335 | −1.01984 | ||||||||
\(520\) | 18.5194 | + | 16.0118i | 0.812129 | + | 0.702162i | ||||
\(521\) | −11.9672 | −0.524292 | −0.262146 | − | 0.965028i | \(-0.584430\pi\) | ||||
−0.262146 | + | 0.965028i | \(0.584430\pi\) | |||||||
\(522\) | −0.983593 | − | 2.92953i | −0.0430507 | − | 0.128222i | ||||
\(523\) | −16.0656 | −0.702501 | −0.351250 | − | 0.936282i | \(-0.614243\pi\) | ||||
−0.351250 | + | 0.936282i | \(0.614243\pi\) | |||||||
\(524\) | −8.89845 | − | 11.7577i | −0.388731 | − | 0.513639i | ||||
\(525\) | −2.98359 | + | 12.8720i | −0.130215 | + | 0.561779i | ||||
\(526\) | 8.29392 | + | 24.7026i | 0.361632 | + | 1.07709i | ||||
\(527\) | − | 24.4010i | − | 1.06292i | ||||||
\(528\) | −5.82687 | − | 1.64466i | −0.253582 | − | 0.0715746i | ||||
\(529\) | −0.307491 | −0.0133692 | ||||||||
\(530\) | 2.97241 | + | 13.9429i | 0.129113 | + | 0.605640i | ||||
\(531\) | − | 6.79893i | − | 0.295048i | ||||||
\(532\) | −29.8625 | + | 22.6004i | −1.29470 | + | 0.979854i | ||||
\(533\) | −33.7745 | −1.46294 | ||||||||
\(534\) | 19.7857 | − | 6.64307i | 0.856212 | − | 0.287474i | ||||
\(535\) | 1.01641 | − | 8.88633i | 0.0439431 | − | 0.384190i | ||||
\(536\) | 1.62093 | − | 2.37429i | 0.0700136 | − | 0.102554i | ||||
\(537\) | 2.85664i | 0.123273i | ||||||||
\(538\) | −1.74173 | − | 5.18757i | −0.0750913 | − | 0.223652i | ||||
\(539\) | 0.0248338i | 0.00106967i | ||||||||
\(540\) | 2.27610 | + | 3.84959i | 0.0979476 | + | 0.165660i | ||||
\(541\) | − | 15.8559i | − | 0.681698i | −0.940118 | − | 0.340849i | \(-0.889285\pi\) | ||
0.940118 | − | 0.340849i | \(-0.110715\pi\) | |||||||
\(542\) | −23.3215 | + | 7.83021i | −1.00174 | + | 0.336337i | ||||
\(543\) | 5.28530i | 0.226814i | ||||||||
\(544\) | 18.7253 | − | 0.915029i | 0.802842 | − | 0.0392316i | ||||
\(545\) | 1.70892 | + | 0.195463i | 0.0732019 | + | 0.00837274i | ||||
\(546\) | 4.60453 | + | 13.7141i | 0.197055 | + | 0.586910i | ||||
\(547\) | −4.95078 | −0.211680 | −0.105840 | − | 0.994383i | \(-0.533753\pi\) | ||||
−0.105840 | + | 0.994383i | \(0.533753\pi\) | |||||||
\(548\) | −4.69251 | − | 6.20033i | −0.200454 | − | 0.264865i | ||||
\(549\) | 3.60104i | 0.153688i | ||||||||
\(550\) | −1.02759 | − | 10.6536i | −0.0438164 | − | 0.454269i | ||||
\(551\) | 15.4835 | 0.659618 | ||||||||
\(552\) | 11.2775 | + | 7.69919i | 0.480003 | + | 0.327699i | ||||
\(553\) | 19.4569i | 0.827393i | ||||||||
\(554\) | −1.18953 | + | 0.399387i | −0.0505385 | + | 0.0169683i | ||||
\(555\) | −2.00000 | + | 17.4858i | −0.0848953 | + | 0.742230i | ||||
\(556\) | −17.6566 | − | 23.3301i | −0.748806 | − | 0.989416i | ||||
\(557\) | 1.26634 | 0.0536565 | 0.0268283 | − | 0.999640i | \(-0.491459\pi\) | ||||
0.0268283 | + | 0.999640i | \(0.491459\pi\) | |||||||
\(558\) | −9.87086 | + | 3.31415i | −0.417867 | + | 0.140299i | ||||
\(559\) | 3.93437 | 0.166406 | ||||||||
\(560\) | 8.96408 | − | 21.8708i | 0.378801 | − | 0.924211i | ||||
\(561\) | 5.01641 | 0.211793 | ||||||||
\(562\) | −18.0768 | + | 6.06930i | −0.762524 | + | 0.256018i | ||||
\(563\) | 5.70892 | 0.240602 | 0.120301 | − | 0.992737i | \(-0.461614\pi\) | ||||
0.120301 | + | 0.992737i | \(0.461614\pi\) | |||||||
\(564\) | 8.55220 | + | 11.3002i | 0.360112 | + | 0.475825i | ||||
\(565\) | 32.1208 | + | 3.67393i | 1.35133 | + | 0.154564i | ||||
\(566\) | 38.1208 | − | 12.7991i | 1.60234 | − | 0.537986i | ||||
\(567\) | 2.64265i | 0.110981i | ||||||||
\(568\) | −10.7253 | + | 15.7101i | −0.450025 | + | 0.659181i | ||||
\(569\) | 2.75814 | 0.115627 | 0.0578135 | − | 0.998327i | \(-0.481587\pi\) | ||||
0.0578135 | + | 0.998327i | \(0.481587\pi\) | |||||||
\(570\) | −21.9149 | + | 4.67192i | −0.917912 | + | 0.195685i | ||||
\(571\) | − | 25.7735i | − | 1.07859i | −0.842118 | − | 0.539294i | \(-0.818691\pi\) | ||
0.842118 | − | 0.539294i | \(-0.181309\pi\) | |||||||
\(572\) | −7.07158 | − | 9.34385i | −0.295677 | − | 0.390686i | ||||
\(573\) | 5.96719 | 0.249283 | ||||||||
\(574\) | 10.3791 | + | 30.9130i | 0.433214 | + | 1.29028i | ||||
\(575\) | −5.45065 | + | 23.5155i | −0.227308 | + | 0.980663i | ||||
\(576\) | −2.91344 | − | 7.45063i | −0.121393 | − | 0.310443i | ||||
\(577\) | − | 32.7135i | − | 1.36188i | −0.732338 | − | 0.680941i | \(-0.761571\pi\) | ||
0.732338 | − | 0.680941i | \(-0.238429\pi\) | |||||||
\(578\) | 8.06599 | − | 2.70816i | 0.335501 | − | 0.112645i | ||||
\(579\) | − | 14.9409i | − | 0.620921i | ||||||
\(580\) | −8.41188 | + | 4.97358i | −0.349284 | + | 0.206517i | ||||
\(581\) | − | 20.4587i | − | 0.848769i | ||||||
\(582\) | −5.01641 | − | 14.9409i | −0.207937 | − | 0.619319i | ||||
\(583\) | − | 6.82376i | − | 0.282611i | ||||||
\(584\) | −36.2416 | − | 24.7422i | −1.49969 | − | 1.02384i | ||||
\(585\) | −0.983593 | + | 8.59945i | −0.0406666 | + | 0.355543i | ||||
\(586\) | 10.7141 | − | 3.59728i | 0.442597 | − | 0.148602i | ||||
\(587\) | 43.4835 | 1.79475 | 0.897377 | − | 0.441264i | \(-0.145470\pi\) | ||||
0.897377 | + | 0.441264i | \(0.145470\pi\) | |||||||
\(588\) | −0.0261649 | + | 0.0198021i | −0.00107902 | + | 0.000816623i | ||||
\(589\) | − | 52.1705i | − | 2.14965i | ||||||
\(590\) | −21.0276 | + | 4.48277i | −0.865692 | + | 0.184553i | ||||
\(591\) | 3.23353 | 0.133009 | ||||||||
\(592\) | 8.55220 | − | 30.2996i | 0.351493 | − | 1.24531i | ||||
\(593\) | − | 7.83021i | − | 0.321548i | −0.986991 | − | 0.160774i | \(-0.948601\pi\) | ||
0.986991 | − | 0.160774i | \(-0.0513991\pi\) | |||||||
\(594\) | −0.681331 | − | 2.02927i | −0.0279553 | − | 0.0832622i | ||||
\(595\) | −2.22546 | + | 19.4569i | −0.0912348 | + | 0.797656i | ||||
\(596\) | −13.3627 | − | 17.6564i | −0.547356 | − | 0.723235i | ||||
\(597\) | −8.12080 | −0.332362 | ||||||||
\(598\) | 8.41188 | + | 25.0539i | 0.343987 | + | 1.02453i | ||||
\(599\) | 32.7581 | 1.33846 | 0.669231 | − | 0.743055i | \(-0.266624\pi\) | ||||
0.669231 | + | 0.743055i | \(0.266624\pi\) | |||||||
\(600\) | 10.4052 | − | 9.57764i | 0.424792 | − | 0.391005i | ||||
\(601\) | 17.8074 | 0.726377 | 0.363189 | − | 0.931716i | \(-0.381688\pi\) | ||||
0.363189 | + | 0.931716i | \(0.381688\pi\) | |||||||
\(602\) | −1.20905 | − | 3.60104i | −0.0492772 | − | 0.146767i | ||||
\(603\) | 1.01641 | 0.0413913 | ||||||||
\(604\) | 1.01641 | − | 0.769233i | 0.0413570 | − | 0.0312997i | ||||
\(605\) | 2.21295 | − | 19.3476i | 0.0899692 | − | 0.786591i | ||||
\(606\) | −6.00000 | − | 17.8704i | −0.243733 | − | 0.725935i | ||||
\(607\) | − | 3.41188i | − | 0.138484i | −0.997600 | − | 0.0692420i | \(-0.977942\pi\) | ||
0.997600 | − | 0.0692420i | \(-0.0220581\pi\) | |||||||
\(608\) | 40.0357 | − | 1.95638i | 1.62366 | − | 0.0793416i | ||||
\(609\) | −5.77454 | −0.233996 | ||||||||
\(610\) | 11.1372 | − | 2.37429i | 0.450932 | − | 0.0961321i | ||||
\(611\) | 27.4282i | 1.10963i | ||||||||
\(612\) | 4.00000 | + | 5.28530i | 0.161690 | + | 0.213646i | ||||
\(613\) | −36.6290 | −1.47943 | −0.739716 | − | 0.672920i | \(-0.765040\pi\) | ||||
−0.739716 | + | 0.672920i | \(0.765040\pi\) | |||||||
\(614\) | −23.3955 | + | 7.85505i | −0.944165 | + | 0.317004i | ||||
\(615\) | −2.21712 | + | 19.3840i | −0.0894029 | + | 0.781640i | ||||
\(616\) | −6.37907 | + | 9.34385i | −0.257020 | + | 0.376474i | ||||
\(617\) | 40.3979i | 1.62636i | 0.582012 | + | 0.813180i | \(0.302266\pi\) | ||||
−0.582012 | + | 0.813180i | \(0.697734\pi\) | |||||||
\(618\) | −0.431398 | − | 1.28488i | −0.0173534 | − | 0.0516853i | ||||
\(619\) | − | 24.5172i | − | 0.985430i | −0.870191 | − | 0.492715i | \(-0.836004\pi\) | ||
0.870191 | − | 0.492715i | \(-0.163996\pi\) | |||||||
\(620\) | 16.7581 | + | 28.3433i | 0.673023 | + | 1.13829i | ||||
\(621\) | 4.82778i | 0.193732i | ||||||||
\(622\) | 28.7581 | − | 9.65557i | 1.15310 | − | 0.387153i | ||||
\(623\) | − | 39.0006i | − | 1.56252i | ||||||
\(624\) | 4.20594 | − | 14.9013i | 0.168372 | − | 0.596528i | ||||
\(625\) | 22.4506 | + | 10.9986i | 0.898026 | + | 0.439943i | ||||
\(626\) | 3.48346 | + | 10.3751i | 0.139227 | + | 0.414674i | ||||
\(627\) | 10.7253 | 0.428328 | ||||||||
\(628\) | −0.205941 | + | 0.155859i | −0.00821793 | + | 0.00621947i | ||||
\(629\) | 26.0852i | 1.04009i | ||||||||
\(630\) | 8.17313 | − | 1.74239i | 0.325625 | − | 0.0694185i | ||||
\(631\) | 18.7805 | 0.747640 | 0.373820 | − | 0.927501i | \(-0.378048\pi\) | ||||
0.373820 | + | 0.927501i | \(0.378048\pi\) | |||||||
\(632\) | 11.7417 | − | 17.1989i | 0.467061 | − | 0.684135i | ||||
\(633\) | − | 13.7141i | − | 0.545087i | ||||||
\(634\) | −15.0604 | + | 5.05654i | −0.598125 | + | 0.200821i | ||||
\(635\) | 25.6126 | + | 2.92953i | 1.01640 | + | 0.116255i | ||||
\(636\) | 7.18953 | − | 5.44116i | 0.285084 | − | 0.215756i | ||||
\(637\) | −0.0635083 | −0.00251629 | ||||||||
\(638\) | 4.43424 | − | 1.48880i | 0.175553 | − | 0.0589421i | ||||
\(639\) | −6.72532 | −0.266050 | ||||||||
\(640\) | −21.1222 | + | 13.9231i | −0.834929 | + | 0.550358i | ||||
\(641\) | −15.5163 | −0.612856 | −0.306428 | − | 0.951894i | \(-0.599134\pi\) | ||||
−0.306428 | + | 0.951894i | \(0.599134\pi\) | |||||||
\(642\) | −5.36266 | + | 1.80052i | −0.211647 | + | 0.0710608i | ||||
\(643\) | −17.4506 | −0.688186 | −0.344093 | − | 0.938936i | \(-0.611814\pi\) | ||||
−0.344093 | + | 0.938936i | \(0.611814\pi\) | |||||||
\(644\) | 20.3463 | − | 15.3984i | 0.801755 | − | 0.606781i | ||||
\(645\) | 0.258271 | − | 2.25803i | 0.0101694 | − | 0.0889099i | ||||
\(646\) | −31.4835 | + | 10.5706i | −1.23870 | + | 0.415895i | ||||
\(647\) | − | 13.1403i | − | 0.516600i | −0.966065 | − | 0.258300i | \(-0.916838\pi\) | ||
0.966065 | − | 0.258300i | \(-0.0831624\pi\) | |||||||
\(648\) | 1.59477 | − | 2.33596i | 0.0626484 | − | 0.0917653i | ||||
\(649\) | 10.2911 | 0.403960 | ||||||||
\(650\) | 27.2447 | − | 2.62788i | 1.06863 | − | 0.103074i | ||||
\(651\) | 19.4569i | 0.762577i | ||||||||
\(652\) | 31.0716 | − | 23.5155i | 1.21686 | − | 0.920937i | ||||
\(653\) | 14.7993 | 0.579141 | 0.289570 | − | 0.957157i | \(-0.406488\pi\) | ||||
0.289570 | + | 0.957157i | \(0.406488\pi\) | |||||||
\(654\) | −0.346255 | − | 1.03128i | −0.0135396 | − | 0.0403264i | ||||
\(655\) | −16.3791 | − | 1.87342i | −0.639983 | − | 0.0732004i | ||||
\(656\) | 9.48062 | − | 33.5890i | 0.370156 | − | 1.31143i | ||||
\(657\) | − | 15.5146i | − | 0.605284i | ||||||
\(658\) | 25.1044 | − | 8.42882i | 0.978671 | − | 0.328590i | ||||
\(659\) | 7.99614i | 0.311485i | 0.987798 | + | 0.155743i | \(0.0497771\pi\) | ||||
−0.987798 | + | 0.155743i | \(0.950223\pi\) | |||||||
\(660\) | −5.82687 | + | 3.44518i | −0.226811 | + | 0.134103i | ||||
\(661\) | 0.915029i | 0.0355905i | 0.999842 | + | 0.0177953i | \(0.00566470\pi\) | ||||
−0.999842 | + | 0.0177953i | \(0.994335\pi\) | |||||||
\(662\) | −3.60142 | − | 10.7265i | −0.139973 | − | 0.416896i | ||||
\(663\) | 12.8286i | 0.498223i | ||||||||
\(664\) | −12.3463 | + | 18.0844i | −0.479128 | + | 0.701810i | ||||
\(665\) | −4.75814 | + | 41.5999i | −0.184513 | + | 1.61317i | ||||
\(666\) | 10.5522 | − | 3.54291i | 0.408889 | − | 0.137285i | ||||
\(667\) | −10.5494 | −0.408473 | ||||||||
\(668\) | 2.17313 | + | 2.87141i | 0.0840808 | + | 0.111098i | ||||
\(669\) | − | 9.84472i | − | 0.380619i | ||||||
\(670\) | −0.670152 | − | 3.14352i | −0.0258902 | − | 0.121445i | ||||
\(671\) | −5.45065 | −0.210420 | ||||||||
\(672\) | −14.9313 | + | 0.729629i | −0.575986 | + | 0.0281461i | ||||
\(673\) | − | 34.3978i | − | 1.32594i | −0.748647 | − | 0.662969i | \(-0.769296\pi\) | ||
0.748647 | − | 0.662969i | \(-0.230704\pi\) | |||||||
\(674\) | 9.70892 | + | 28.9170i | 0.373973 | + | 1.11384i | ||||
\(675\) | 4.87086 | + | 1.12902i | 0.187480 | + | 0.0434559i | ||||
\(676\) | 3.16337 | − | 2.39409i | 0.121668 | − | 0.0920804i | ||||
\(677\) | −40.1676 | −1.54377 | −0.771884 | − | 0.635764i | \(-0.780685\pi\) | ||||
−0.771884 | + | 0.635764i | \(0.780685\pi\) | |||||||
\(678\) | −6.50820 | − | 19.3840i | −0.249946 | − | 0.744439i | ||||
\(679\) | −29.4506 | −1.13021 | ||||||||
\(680\) | 13.7089 | − | 15.8559i | 0.525713 | − | 0.608046i | ||||
\(681\) | −5.70892 | −0.218766 | ||||||||
\(682\) | −5.01641 | − | 14.9409i | −0.192088 | − | 0.572115i | ||||
\(683\) | −33.2580 | −1.27258 | −0.636291 | − | 0.771449i | \(-0.719532\pi\) | ||||
−0.636291 | + | 0.771449i | \(0.719532\pi\) | |||||||
\(684\) | 8.55220 | + | 11.3002i | 0.327001 | + | 0.432075i | ||||
\(685\) | −8.63734 | − | 0.987927i | −0.330016 | − | 0.0377468i | ||||
\(686\) | 8.34625 | + | 24.8585i | 0.318661 | + | 0.949101i | ||||
\(687\) | 0.769233i | 0.0293481i | ||||||||
\(688\) | −1.10439 | + | 3.91275i | −0.0421045 | + | 0.149172i | ||||
\(689\) | 17.4506 | 0.664817 | ||||||||
\(690\) | 14.9313 | − | 3.18312i | 0.568423 | − | 0.121179i | ||||
\(691\) | 50.2241i | 1.91062i | 0.295611 | + | 0.955308i | \(0.404477\pi\) | ||||
−0.295611 | + | 0.955308i | \(0.595523\pi\) | |||||||
\(692\) | 37.0521 | − | 28.0416i | 1.40851 | − | 1.06598i | ||||
\(693\) | −4.00000 | −0.151947 | ||||||||
\(694\) | −29.1044 | + | 9.77182i | −1.10479 | + | 0.370933i | ||||
\(695\) | −32.4999 | − | 3.71729i | −1.23279 | − | 0.141005i | ||||
\(696\) | 5.10439 | + | 3.48478i | 0.193481 | + | 0.132090i | ||||
\(697\) | 28.9170i | 1.09531i | ||||||||
\(698\) | 11.1372 | + | 33.1710i | 0.421549 | + | 1.25554i | ||||
\(699\) | 18.4008i | 0.695983i | ||||||||
\(700\) | −10.7777 | − | 24.1289i | −0.407357 | − | 0.911985i | ||||
\(701\) | − | 23.7543i | − | 0.897188i | −0.893736 | − | 0.448594i | \(-0.851925\pi\) | ||
0.893736 | − | 0.448594i | \(-0.148075\pi\) | |||||||
\(702\) | 5.18953 | − | 1.74239i | 0.195866 | − | 0.0657623i | ||||
\(703\) | 55.7715i | 2.10346i | ||||||||
\(704\) | 11.2775 | − | 4.40987i | 0.425037 | − | 0.166203i | ||||
\(705\) | 15.7417 | + | 1.80052i | 0.592868 | + | 0.0678114i | ||||
\(706\) | 1.49180 | + | 4.44317i | 0.0561445 | + | 0.167221i | ||||
\(707\) | −35.2252 | −1.32478 | ||||||||
\(708\) | 8.20594 | + | 10.8427i | 0.308398 | + | 0.407494i | ||||
\(709\) | − | 36.3146i | − | 1.36382i | −0.731435 | − | 0.681911i | \(-0.761149\pi\) | ||
0.731435 | − | 0.681911i | \(-0.238851\pi\) | |||||||
\(710\) | 4.43424 | + | 20.7999i | 0.166414 | + | 0.780608i | ||||
\(711\) | 7.36266 | 0.276121 | ||||||||
\(712\) | −23.5358 | + | 34.4744i | −0.882041 | + | 1.29198i | ||||
\(713\) | 35.5453i | 1.33118i | ||||||||
\(714\) | 11.7417 | − | 3.94229i | 0.439423 | − | 0.147537i | ||||
\(715\) | −13.0164 | − | 1.48880i | −0.486786 | − | 0.0556779i | ||||
\(716\) | −3.44780 | − | 4.55567i | −0.128851 | − | 0.170253i | ||||
\(717\) | 10.0328 | 0.374682 | ||||||||
\(718\) | 22.4671 | − | 7.54333i | 0.838463 | − | 0.281515i | ||||
\(719\) | −30.7253 | −1.14586 | −0.572931 | − | 0.819604i | \(-0.694194\pi\) | ||||
−0.572931 | + | 0.819604i | \(0.694194\pi\) | |||||||
\(720\) | −8.27610 | − | 3.39208i | −0.308432 | − | 0.126415i | ||||
\(721\) | −2.53268 | −0.0943219 | ||||||||
\(722\) | −41.8405 | + | 14.0480i | −1.55714 | + | 0.522812i | ||||
\(723\) | −10.7581 | −0.400099 | ||||||||
\(724\) | −6.37907 | − | 8.42882i | −0.237076 | − | 0.313255i | ||||
\(725\) | −2.46705 | + | 10.6435i | −0.0916240 | + | 0.395289i | ||||
\(726\) | −11.6757 | + | 3.92014i | −0.433327 | + | 0.145490i | ||||
\(727\) | 5.47445i | 0.203036i | 0.994834 | + | 0.101518i | \(0.0323700\pi\) | ||||
−0.994834 | + | 0.101518i | \(0.967630\pi\) | |||||||
\(728\) | −23.8953 | − | 16.3134i | −0.885620 | − | 0.604615i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −47.9833 | + | 10.2293i | −1.77594 | + | 0.378605i | ||||
\(731\) | − | 3.36852i | − | 0.124589i | ||||||
\(732\) | −4.34625 | − | 5.74281i | −0.160642 | − | 0.212260i | ||||
\(733\) | 17.1455 | 0.633285 | 0.316643 | − | 0.948545i | \(-0.397444\pi\) | ||||
0.316643 | + | 0.948545i | \(0.397444\pi\) | |||||||
\(734\) | −12.8433 | − | 38.2524i | −0.474054 | − | 1.41192i | ||||
\(735\) | −0.00416898 | + | 0.0364490i | −0.000153775 | + | 0.00134444i | ||||
\(736\) | −27.2775 | + | 1.33294i | −1.00546 | + | 0.0491328i | ||||
\(737\) | 1.53847i | 0.0566701i | ||||||||
\(738\) | 11.6977 | − | 3.92752i | 0.430600 | − | 0.144574i | ||||
\(739\) | 11.6019i | 0.426782i | 0.976967 | + | 0.213391i | \(0.0684508\pi\) | ||||
−0.976967 | + | 0.213391i | \(0.931549\pi\) | |||||||
\(740\) | −17.9149 | − | 30.2996i | −0.658563 | − | 1.11384i | ||||
\(741\) | 27.4282i | 1.00760i | ||||||||
\(742\) | −5.36266 | − | 15.9721i | −0.196869 | − | 0.586356i | ||||
\(743\) | 23.6613i | 0.868048i | 0.900901 | + | 0.434024i | \(0.142907\pi\) | ||||
−0.900901 | + | 0.434024i | \(0.857093\pi\) | |||||||
\(744\) | 11.7417 | − | 17.1989i | 0.430473 | − | 0.630542i | ||||
\(745\) | −24.5962 | − | 2.81328i | −0.901135 | − | 0.103071i | ||||
\(746\) | −50.3819 | + | 16.9158i | −1.84461 | + | 0.619330i | ||||
\(747\) | −7.74173 | −0.283255 | ||||||||
\(748\) | −8.00000 | + | 6.05453i | −0.292509 | + | 0.221376i | ||||
\(749\) | 10.5706i | 0.386241i | ||||||||
\(750\) | 0.280267 | − | 15.8089i | 0.0102339 | − | 0.577260i | ||||
\(751\) | −11.4283 | −0.417024 | −0.208512 | − | 0.978020i | \(-0.566862\pi\) | ||||
−0.208512 | + | 0.978020i | \(0.566862\pi\) | |||||||
\(752\) | −27.2775 | − | 7.69919i | −0.994709 | − | 0.280761i | ||||
\(753\) | − | 12.6580i | − | 0.461283i | ||||||
\(754\) | 3.80736 | + | 11.3398i | 0.138656 | + | 0.412972i | ||||
\(755\) | 0.161949 | − | 1.41590i | 0.00589392 | − | 0.0515299i | ||||
\(756\) | −3.18953 | − | 4.21441i | −0.116002 | − | 0.153277i | ||||
\(757\) | 19.1784 | 0.697049 | 0.348525 | − | 0.937300i | \(-0.386683\pi\) | ||||
0.348525 | + | 0.937300i | \(0.386683\pi\) | |||||||
\(758\) | −3.03592 | − | 9.04219i | −0.110270 | − | 0.328427i | ||||
\(759\) | −7.30749 | −0.265245 | ||||||||
\(760\) | 29.3103 | − | 33.9007i | 1.06320 | − | 1.22971i | ||||
\(761\) | 4.03281 | 0.146189 | 0.0730947 | − | 0.997325i | \(-0.476712\pi\) | ||||
0.0730947 | + | 0.997325i | \(0.476712\pi\) | |||||||
\(762\) | −5.18953 | − | 15.4565i | −0.187997 | − | 0.559930i | ||||
\(763\) | −2.03281 | −0.0735928 | ||||||||
\(764\) | −9.51627 | + | 7.20207i | −0.344287 | + | 0.260562i | ||||
\(765\) | 7.36266 | + | 0.842131i | 0.266198 | + | 0.0304473i | ||||
\(766\) | 9.82687 | + | 29.2684i | 0.355059 | + | 1.05751i | ||||
\(767\) | 26.3177i | 0.950279i | ||||||||
\(768\) | 13.6388 | + | 8.36566i | 0.492146 | + | 0.301870i | ||||
\(769\) | 2.95078 | 0.106408 | 0.0532039 | − | 0.998584i | \(-0.483057\pi\) | ||||
0.0532039 | + | 0.998584i | \(0.483057\pi\) | |||||||
\(770\) | 2.63734 | + | 12.3711i | 0.0950431 | + | 0.445824i | ||||
\(771\) | 13.3110i | 0.479383i | ||||||||
\(772\) | 18.0328 | + | 23.8272i | 0.649015 | + | 0.857560i | ||||
\(773\) | −45.2663 | −1.62812 | −0.814059 | − | 0.580783i | \(-0.802747\pi\) | ||||
−0.814059 | + | 0.580783i | \(0.802747\pi\) | |||||||
\(774\) | −1.36266 | + | 0.457515i | −0.0489798 | + | 0.0164450i | ||||
\(775\) | 35.8625 | + | 8.31256i | 1.28822 | + | 0.298596i | ||||
\(776\) | 26.0328 | + | 17.7727i | 0.934524 | + | 0.638002i | ||||
\(777\) | − | 20.7999i | − | 0.746193i | ||||||
\(778\) | 3.96719 | + | 11.8159i | 0.142231 | + | 0.423619i | ||||
\(779\) | 61.8260i | 2.21515i | ||||||||
\(780\) | −8.81047 | − | 14.9013i | −0.315465 | − | 0.533551i | ||||
\(781\) | − | 10.1797i | − | 0.364257i | ||||||
\(782\) | 21.4506 | − | 7.20207i | 0.767074 | − | 0.257546i | ||||
\(783\) | 2.18513i | 0.0780903i | ||||||||
\(784\) | 0.0178270 | − | 0.0631594i | 0.000636678 | − | 0.00225569i | ||||
\(785\) | −0.0328135 | + | 0.286885i | −0.00117116 | + | 0.0102394i | ||||
\(786\) | 3.31867 | + | 9.88432i | 0.118373 | + | 0.352562i | ||||
\(787\) | 52.9997 | 1.88924 | 0.944618 | − | 0.328171i | \(-0.106432\pi\) | ||||
0.944618 | + | 0.328171i | \(0.106432\pi\) | |||||||
\(788\) | −5.15672 | + | 3.90269i | −0.183701 | + | 0.139028i | ||||
\(789\) | − | 18.4256i | − | 0.655970i | ||||||
\(790\) | −4.85446 | − | 22.7711i | −0.172714 | − | 0.810159i | ||||
\(791\) | −38.2088 | −1.35855 | ||||||||
\(792\) | 3.53579 | + | 2.41389i | 0.125639 | + | 0.0857739i | ||||
\(793\) | − | 13.9391i | − | 0.494993i | ||||||
\(794\) | 1.10155 | − | 0.369846i | 0.0390926 | − | 0.0131254i | ||||
\(795\) | 1.14554 | − | 10.0153i | 0.0406282 | − | 0.355208i | ||||
\(796\) | 12.9508 | − | 9.80136i | 0.459028 | − | 0.347400i | ||||
\(797\) | −16.5738 | −0.587075 | −0.293538 | − | 0.955948i | \(-0.594833\pi\) | ||||
−0.293538 | + | 0.955948i | \(0.594833\pi\) | |||||||
\(798\) | 25.1044 | − | 8.42882i | 0.888686 | − | 0.298377i | ||||
\(799\) | 23.4835 | 0.830785 | ||||||||
\(800\) | −5.03423 | + | 27.8327i | −0.177987 | + | 0.984033i | ||||
\(801\) | −14.7581 | −0.521453 | ||||||||
\(802\) | −17.0604 | + | 5.72804i | −0.602424 | + | 0.202264i | ||||
\(803\) | 23.4835 | 0.828713 | ||||||||
\(804\) | −1.62093 | + | 1.22675i | −0.0571659 | + | 0.0432641i | ||||
\(805\) | 3.24186 | − | 28.3433i | 0.114261 | − | 0.998969i | ||||
\(806\) | 38.2088 | − | 12.8286i | 1.34585 | − | 0.451869i | ||||
\(807\) | 3.86940i | 0.136209i | ||||||||
\(808\) | 31.1372 | + | 21.2574i | 1.09540 | + | 0.747834i | ||||
\(809\) | 37.5491 | 1.32016 | 0.660078 | − | 0.751197i | \(-0.270523\pi\) | ||||
0.660078 | + | 0.751197i | \(0.270523\pi\) | |||||||
\(810\) | −0.659335 | − | 3.09278i | −0.0231667 | − | 0.108669i | ||||
\(811\) | − | 32.1102i | − | 1.12754i | −0.825931 | − | 0.563771i | \(-0.809350\pi\) | ||
0.825931 | − | 0.563771i | \(-0.190650\pi\) | |||||||
\(812\) | 9.20905 | − | 6.96956i | 0.323174 | − | 0.244584i | ||||
\(813\) | 17.3955 | 0.610086 | ||||||||
\(814\) | 5.36266 | + | 15.9721i | 0.187961 | + | 0.559824i | ||||
\(815\) | 4.95078 | − | 43.2841i | 0.173418 | − | 1.51618i | ||||
\(816\) | −12.7581 | − | 3.60104i | −0.446624 | − | 0.126061i | ||||
\(817\) | − | 7.20207i | − | 0.251969i | ||||||
\(818\) | −3.02759 | + | 1.01651i | −0.105857 | + | 0.0355416i | ||||
\(819\) | − | 10.2293i | − | 0.357442i | ||||||
\(820\) | −19.8597 | − | 33.5890i | −0.693530 | − | 1.17298i | ||||
\(821\) | − | 29.3809i | − | 1.02540i | −0.858568 | − | 0.512699i | \(-0.828646\pi\) | ||
0.858568 | − | 0.512699i | \(-0.171354\pi\) | |||||||
\(822\) | 1.75007 | + | 5.21240i | 0.0610406 | + | 0.181803i | ||||
\(823\) | − | 28.3866i | − | 0.989495i | −0.869037 | − | 0.494748i | \(-0.835260\pi\) | ||
0.869037 | − | 0.494748i | \(-0.164740\pi\) | |||||||
\(824\) | 2.23875 | + | 1.52840i | 0.0779907 | + | 0.0532444i | ||||
\(825\) | −1.70892 | + | 7.37270i | −0.0594968 | + | 0.256684i | ||||
\(826\) | 24.0880 | − | 8.08756i | 0.838128 | − | 0.281402i | ||||
\(827\) | 1.45065 | 0.0504439 | 0.0252219 | − | 0.999682i | \(-0.491971\pi\) | ||||
0.0252219 | + | 0.999682i | \(0.491971\pi\) | |||||||
\(828\) | −5.82687 | − | 7.69919i | −0.202498 | − | 0.267565i | ||||
\(829\) | 37.4621i | 1.30111i | 0.759458 | + | 0.650556i | \(0.225464\pi\) | ||||
−0.759458 | + | 0.650556i | \(0.774536\pi\) | |||||||
\(830\) | 5.10439 | + | 23.9435i | 0.177176 | + | 0.831089i | ||||
\(831\) | 0.887271 | 0.0307791 | ||||||||
\(832\) | 11.2775 | + | 28.8404i | 0.390978 | + | 0.999860i | ||||
\(833\) | 0.0543744i | 0.00188396i | ||||||||
\(834\) | 6.58501 | + | 19.6128i | 0.228020 | + | 0.679135i | ||||
\(835\) | 4.00000 | + | 0.457515i | 0.138426 | + | 0.0158329i | ||||
\(836\) | −17.1044 | + | 12.9449i | −0.591568 | + | 0.447708i | ||||
\(837\) | 7.36266 | 0.254491 | ||||||||
\(838\) | −15.0604 | − | 44.8559i | −0.520253 | − | 1.54952i | ||||
\(839\) | 48.7581 | 1.68332 | 0.841659 | − | 0.540010i | \(-0.181579\pi\) | ||||
0.841659 | + | 0.540010i | \(0.181579\pi\) | |||||||
\(840\) | −10.9313 | + | 12.6432i | −0.377164 | + | 0.436233i | ||||
\(841\) | 24.2252 | 0.835351 | ||||||||
\(842\) | 5.10439 | + | 15.2029i | 0.175909 | + | 0.523927i | ||||
\(843\) | 13.4835 | 0.464395 | ||||||||
\(844\) | 16.5522 | + | 21.8708i | 0.569750 | + | 0.752825i | ||||
\(845\) | 0.504034 | − | 4.40672i | 0.0173393 | − | 0.151596i | ||||
\(846\) | −3.18953 | − | 9.49971i | −0.109658 | − | 0.326607i | ||||
\(847\) | 23.0146i | 0.790791i | ||||||||
\(848\) | −4.89845 | + | 17.3548i | −0.168213 | + | 0.595965i | ||||
\(849\) | −28.4342 | −0.975861 | ||||||||
\(850\) | −2.24993 | − | 23.3263i | −0.0771721 | − | 0.800086i | ||||
\(851\) | − | 37.9988i | − | 1.30258i | ||||||
\(852\) | 10.7253 | − | 8.11710i | 0.367443 | − | 0.278087i | ||||
\(853\) | 4.37073 | 0.149651 | 0.0748255 | − | 0.997197i | \(-0.476160\pi\) | ||||
0.0748255 | + | 0.997197i | \(0.476160\pi\) | |||||||
\(854\) | −12.7581 | + | 4.28355i | −0.436574 | + | 0.146580i | ||||
\(855\) | 15.7417 | + | 1.80052i | 0.538356 | + | 0.0615764i | ||||
\(856\) | 6.37907 | − | 9.34385i | 0.218032 | − | 0.319366i | ||||
\(857\) | 20.5130i | 0.700712i | 0.936617 | + | 0.350356i | \(0.113939\pi\) | ||||
−0.936617 | + | 0.350356i | \(0.886061\pi\) | |||||||
\(858\) | 2.63734 | + | 7.85505i | 0.0900373 | + | 0.268167i | ||||
\(859\) | − | 10.1131i | − | 0.345054i | −0.985005 | − | 0.172527i | \(-0.944807\pi\) | ||
0.985005 | − | 0.172527i | \(-0.0551932\pi\) | |||||||
\(860\) | 2.31344 | + | 3.91275i | 0.0788877 | + | 0.133424i | ||||
\(861\) | − | 23.0580i | − | 0.785813i | ||||||
\(862\) | 14.2911 | − | 4.79824i | 0.486756 | − | 0.163429i | ||||
\(863\) | − | 13.2861i | − | 0.452266i | −0.974096 | − | 0.226133i | \(-0.927392\pi\) | ||
0.974096 | − | 0.226133i | \(-0.0726083\pi\) | |||||||
\(864\) | 0.276098 | + | 5.65011i | 0.00939303 | + | 0.192221i | ||||
\(865\) | 5.90368 | − | 51.6152i | 0.200731 | − | 1.75497i | ||||
\(866\) | −11.9344 | − | 35.5453i | −0.405547 | − | 1.20788i | ||||
\(867\) | −6.01641 | −0.204328 | ||||||||
\(868\) | −23.4835 | − | 31.0293i | −0.797081 | − | 1.05320i | ||||
\(869\) | 11.1444i | 0.378047i | ||||||||
\(870\) | 6.75814 | − | 1.44073i | 0.229122 | − | 0.0488455i | ||||
\(871\) | −3.93437 | −0.133311 | ||||||||
\(872\) | 1.79690 | + | 1.22675i | 0.0608507 | + | 0.0415429i | ||||
\(873\) | 11.1444i | 0.377180i | ||||||||
\(874\) | 45.8625 | − | 15.3984i | 1.55132 | − | 0.520858i | ||||
\(875\) | −27.8381 | − | 9.89909i | −0.941098 | − | 0.334650i | ||||
\(876\) | 18.7253 | + | 24.7422i | 0.632670 | + | 0.835962i | ||||
\(877\) | −33.6454 | −1.13612 | −0.568062 | − | 0.822986i | \(-0.692307\pi\) | ||||
−0.568062 | + | 0.822986i | \(0.692307\pi\) | |||||||
\(878\) | −44.0796 | + | 14.7998i | −1.48762 | + | 0.499468i | ||||
\(879\) | −7.99166 | −0.269552 | ||||||||
\(880\) | 5.13436 | − | 12.5270i | 0.173079 | − | 0.422284i | ||||
\(881\) | −32.7909 | −1.10476 | −0.552378 | − | 0.833594i | \(-0.686279\pi\) | ||||
−0.552378 | + | 0.833594i | \(0.686279\pi\) | |||||||
\(882\) | 0.0219960 | − | 0.00738516i | 0.000740643 | − | 0.000248671i | ||||
\(883\) | −33.4506 | −1.12570 | −0.562852 | − | 0.826558i | \(-0.690296\pi\) | ||||
−0.562852 | + | 0.826558i | \(0.690296\pi\) | |||||||
\(884\) | −15.4835 | − | 20.4587i | −0.520765 | − | 0.688100i | ||||
\(885\) | 15.1044 | + | 1.72762i | 0.507729 | + | 0.0580733i | ||||
\(886\) | −7.65375 | + | 2.56975i | −0.257133 | + | 0.0863325i | ||||
\(887\) | − | 34.8924i | − | 1.17157i | −0.810466 | − | 0.585785i | \(-0.800786\pi\) | ||
0.810466 | − | 0.585785i | \(-0.199214\pi\) | |||||||
\(888\) | −12.5522 | + | 18.3860i | −0.421224 | + | 0.616995i | ||||
\(889\) | −30.4671 | −1.02183 | ||||||||
\(890\) | 9.73055 | + | 45.6436i | 0.326169 | + | 1.52998i | ||||
\(891\) | 1.51363i | 0.0507086i | ||||||||
\(892\) | 11.8820 | + | 15.7000i | 0.397840 | + | 0.525676i | ||||
\(893\) | 50.2088 | 1.68017 | ||||||||
\(894\) | 4.98359 | + | 14.8431i | 0.166676 | + | 0.496429i | ||||
\(895\) | −6.34625 | − | 0.725876i | −0.212132 | − | 0.0242634i | ||||
\(896\) | 22.9313 | − | 19.1848i | 0.766080 | − | 0.640920i | ||||
\(897\) | − | 18.6877i | − | 0.623964i | ||||||
\(898\) | 2.68133 | − | 0.900259i | 0.0894772 | − | 0.0300420i | ||||
\(899\) | 16.0884i | 0.536578i | ||||||||
\(900\) | −9.13056 | + | 4.07835i | −0.304352 | + | 0.135945i | ||||
\(901\) | − | 14.9409i | − | 0.497752i | ||||||
\(902\) | 5.94483 | + | 17.7061i | 0.197941 | + | 0.589548i | ||||
\(903\) | 2.68601i | 0.0893847i | ||||||||
\(904\) | 33.7745 | + | 23.0580i | 1.12332 | + | 0.766896i | ||||
\(905\) | −11.7417 | − | 1.34300i | −0.390308 | − | 0.0446429i | ||||
\(906\) | −0.854458 | + | 0.286885i | −0.0283875 | + | 0.00953111i | ||||
\(907\) | 30.9836 | 1.02879 | 0.514397 | − | 0.857552i | \(-0.328016\pi\) | ||||
0.514397 | + | 0.857552i | \(0.328016\pi\) | |||||||
\(908\) | 9.10439 | − | 6.89035i | 0.302140 | − | 0.228664i | ||||
\(909\) | 13.3295i | 0.442112i | ||||||||
\(910\) | −31.6371 | + | 6.74456i | −1.04876 | + | 0.223580i | ||||
\(911\) | 16.0000 | 0.530104 | 0.265052 | − | 0.964234i | \(-0.414611\pi\) | ||||
0.265052 | + | 0.964234i | \(0.414611\pi\) | |||||||
\(912\) | −27.2775 | − | 7.69919i | −0.903249 | − | 0.254946i | ||||
\(913\) | − | 11.7181i | − | 0.387814i | ||||||
\(914\) | −1.77454 | − | 5.28530i | −0.0586967 | − | 0.174822i | ||||
\(915\) | −8.00000 | − | 0.915029i | −0.264472 | − | 0.0302499i | ||||
\(916\) | −0.928423 | − | 1.22675i | −0.0306760 | − | 0.0405329i | ||||
\(917\) | 19.4835 | 0.643400 | ||||||||
\(918\) | −1.49180 | − | 4.44317i | −0.0492366 | − | 0.146646i | ||||
\(919\) | 15.6043 | 0.514737 | 0.257368 | − | 0.966313i | \(-0.417145\pi\) | ||||
0.257368 | + | 0.966313i | \(0.417145\pi\) | |||||||
\(920\) | −19.9700 | + | 23.0976i | −0.658392 | + | 0.761504i | ||||
\(921\) | 17.4506 | 0.575018 | ||||||||
\(922\) | 15.2580 | + | 45.4444i | 0.502496 | + | 1.49663i | ||||
\(923\) | 26.0328 | 0.856880 | ||||||||
\(924\) | 6.37907 | − | 4.82778i | 0.209856 | − | 0.158822i | ||||
\(925\) | −38.3379 | − | 8.88633i | −1.26054 | − | 0.292181i | ||||
\(926\) | −10.2939 | − | 30.6594i | −0.338279 | − | 1.00753i | ||||
\(927\) | 0.958386i | 0.0314775i | ||||||||
\(928\) | −12.3463 | + | 0.603310i | −0.405286 | + | 0.0198046i | ||||
\(929\) | 38.9341 | 1.27739 | 0.638693 | − | 0.769461i | \(-0.279475\pi\) | ||||
0.638693 | + | 0.769461i | \(0.279475\pi\) | |||||||
\(930\) | −4.85446 | − | 22.7711i | −0.159184 | − | 0.746693i | ||||
\(931\) | 0.116255i | 0.00381011i | ||||||||
\(932\) | −22.2088 | − | 29.3450i | −0.727473 | − | 0.961228i | ||||
\(933\) | −21.4506 | −0.702263 | ||||||||
\(934\) | 21.1044 | − | 7.08582i | 0.690557 | − | 0.231855i | ||||
\(935\) | −1.27468 | + | 11.1444i | −0.0416864 | + | 0.364460i | ||||
\(936\) | −6.17313 | + | 9.04219i | −0.201775 | + | 0.295553i | ||||
\(937\) | 19.6027i | 0.640393i | 0.947351 | + | 0.320197i | \(0.103749\pi\) | ||||
−0.947351 | + | 0.320197i | \(0.896251\pi\) | |||||||
\(938\) | 1.20905 | + | 3.60104i | 0.0394769 | + | 0.117578i | ||||
\(939\) | − | 7.73879i | − | 0.252546i | ||||||
\(940\) | −27.2775 | + | 16.1280i | −0.889695 | + | 0.526038i | ||||
\(941\) | 25.0476i | 0.816530i | 0.912864 | + | 0.408265i | \(0.133866\pi\) | ||||
−0.912864 | + | 0.408265i | \(0.866134\pi\) | |||||||
\(942\) | 0.173127 | − | 0.0581276i | 0.00564079 | − | 0.00189390i | ||||
\(943\) | − | 42.1240i | − | 1.37175i | ||||||
\(944\) | −26.1731 | − | 7.38747i | −0.851863 | − | 0.240442i | ||||
\(945\) | −5.87086 | − | 0.671502i | −0.190979 | − | 0.0218439i | ||||
\(946\) | −0.692509 | − | 2.06257i | −0.0225154 | − | 0.0670599i | ||||
\(947\) | 7.93437 | 0.257832 | 0.128916 | − | 0.991655i | \(-0.458850\pi\) | ||||
0.128916 | + | 0.991655i | \(0.458850\pi\) | |||||||
\(948\) | −11.7417 | + | 8.88633i | −0.381354 | + | 0.288615i | ||||
\(949\) | 60.0550i | 1.94947i | ||||||||
\(950\) | −4.81047 | − | 49.8728i | −0.156072 | − | 1.61809i | ||||
\(951\) | 11.2335 | 0.364272 | ||||||||
\(952\) | −13.9672 | + | 20.4587i | −0.452679 | + | 0.663069i | ||||
\(953\) | 11.4809i | 0.371903i | 0.982559 | + | 0.185952i | \(0.0595368\pi\) | ||||
−0.982559 | + | 0.185952i | \(0.940463\pi\) | |||||||
\(954\) | −6.04399 | + | 2.02927i | −0.195681 | + | 0.0657002i | ||||
\(955\) | −1.51627 | + | 13.2566i | −0.0490654 | + | 0.428974i | ||||
\(956\) | −16.0000 | + | 12.1091i | −0.517477 | + | 0.391635i | ||||
\(957\) | −3.30749 | −0.106916 | ||||||||
\(958\) | −27.7417 | + | 9.31431i | −0.896295 | + | 0.300932i | ||||
\(959\) | 10.2744 | 0.331778 | ||||||||
\(960\) | 17.2925 | − | 4.57922i | 0.558113 | − | 0.147794i | ||||
\(961\) | 23.2088 | 0.748670 | ||||||||
\(962\) | −40.8461 | + | 13.7141i | −1.31693 | + | 0.442161i | ||||
\(963\) | 4.00000 | 0.128898 | ||||||||
\(964\) | 17.1567 | − | 12.9845i | 0.552581 | − | 0.418202i | ||||
\(965\) | 33.1924 | + | 3.79650i | 1.06850 | + | 0.122214i | ||||
\(966\) | −17.1044 | + | 5.74281i | −0.550325 | + | 0.184772i | ||||
\(967\) | 15.8993i | 0.511285i | 0.966771 | + | 0.255643i | \(0.0822871\pi\) | ||||
−0.966771 | + | 0.255643i | \(0.917713\pi\) | |||||||
\(968\) | 13.8887 | − | 20.3437i | 0.446399 | − | 0.653871i | ||||
\(969\) | 23.4835 | 0.754397 | ||||||||
\(970\) | 34.4671 | − | 7.34787i | 1.10667 | − | 0.235926i | ||||
\(971\) | − | 40.6600i | − | 1.30484i | −0.757857 | − | 0.652421i | \(-0.773754\pi\) | ||
0.757857 | − | 0.652421i | \(-0.226246\pi\) | |||||||
\(972\) | −1.59477 | + | 1.20695i | −0.0511522 | + | 0.0387128i | ||||
\(973\) | 38.6597 | 1.23937 | ||||||||
\(974\) | 13.8820 | + | 41.3463i | 0.444809 | + | 1.32482i | ||||
\(975\) | −18.8545 | − | 4.37027i | −0.603826 | − | 0.139961i | ||||
\(976\) | 13.8625 | + | 3.91275i | 0.443729 | + | 0.125244i | ||||
\(977\) | − | 26.5676i | − | 0.849972i | −0.905200 | − | 0.424986i | \(-0.860279\pi\) | ||
0.905200 | − | 0.424986i | \(-0.139721\pi\) | |||||||
\(978\) | −26.1208 | + | 8.77008i | −0.835251 | + | 0.280436i | ||||
\(979\) | − | 22.3384i | − | 0.713938i | ||||||
\(980\) | −0.0373434 | − | 0.0631594i | −0.00119289 | − | 0.00201755i | ||||
\(981\) | 0.769233i | 0.0245597i | ||||||||
\(982\) | 4.93960 | + | 14.7121i | 0.157629 | + | 0.469482i | ||||
\(983\) | − | 9.88057i | − | 0.315141i | −0.987508 | − | 0.157571i | \(-0.949634\pi\) | ||
0.987508 | − | 0.157571i | \(-0.0503662\pi\) | |||||||
\(984\) | −13.9149 | + | 20.3820i | −0.443589 | + | 0.649755i | ||||
\(985\) | −0.821644 | + | 7.18355i | −0.0261798 | + | 0.228887i | ||||
\(986\) | 9.70892 | − | 3.25978i | 0.309195 | − | 0.103812i | ||||
\(987\) | −18.7253 | −0.596034 | ||||||||
\(988\) | −33.1044 | − | 43.7416i | −1.05319 | − | 1.39161i | ||||
\(989\) | 4.90699i | 0.156033i | ||||||||
\(990\) | 4.68133 | − | 0.997991i | 0.148782 | − | 0.0317182i | ||||
\(991\) | −53.0549 | −1.68534 | −0.842672 | − | 0.538427i | \(-0.819019\pi\) | ||||
−0.842672 | + | 0.538427i | \(0.819019\pi\) | |||||||
\(992\) | 2.03281 | + | 41.5999i | 0.0645419 | + | 1.32080i | ||||
\(993\) | 8.00084i | 0.253899i | ||||||||
\(994\) | −8.00000 | − | 23.8272i | −0.253745 | − | 0.755753i | ||||
\(995\) | 2.06351 | − | 18.0410i | 0.0654176 | − | 0.571939i | ||||
\(996\) | 12.3463 | − | 9.34385i | 0.391206 | − | 0.296071i | ||||
\(997\) | 32.3051 | 1.02311 | 0.511556 | − | 0.859250i | \(-0.329069\pi\) | ||||
0.511556 | + | 0.859250i | \(0.329069\pi\) | |||||||
\(998\) | 1.67326 | + | 4.98364i | 0.0529662 | + | 0.157754i | ||||
\(999\) | −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 \(a_p\))