Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [78,3,Mod(7,78)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(78, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("78.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 78 = 2 \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 78.l (of order \(12\), degree \(4\), 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: | \(2.12534606201\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - 2x^{7} + 2x^{6} + 82x^{5} + 5053x^{4} - 6736x^{3} + 6728x^{2} + 275384x + 5635876 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Root | \(5.02578 - 5.02578i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 78.7 |
Dual form | 78.3.l.c.67.2 |
$q$-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 \(\left(\mathbb{Z}/78\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(67\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{11}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | − | 0.366025i | 0.683013 | − | 0.183013i | ||||
\(3\) | 0.866025 | − | 1.50000i | 0.288675 | − | 0.500000i | ||||
\(4\) | 1.73205 | − | 1.00000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 4.02578 | + | 4.02578i | 0.805157 | + | 0.805157i | 0.983896 | − | 0.178740i | \(-0.0572019\pi\) |
−0.178740 | + | 0.983896i | \(0.557202\pi\) | |||||||
\(6\) | 0.633975 | − | 2.36603i | 0.105662 | − | 0.394338i | ||||
\(7\) | −4.99932 | − | 1.33956i | −0.714189 | − | 0.191366i | −0.116612 | − | 0.993178i | \(-0.537203\pi\) |
−0.597577 | + | 0.801811i | \(0.703870\pi\) | |||||||
\(8\) | 2.00000 | − | 2.00000i | 0.250000 | − | 0.250000i | ||||
\(9\) | −1.50000 | − | 2.59808i | −0.166667 | − | 0.288675i | ||||
\(10\) | 6.97286 | + | 4.02578i | 0.697286 | + | 0.402578i | ||||
\(11\) | −3.41118 | − | 12.7307i | −0.310107 | − | 1.15734i | −0.928459 | − | 0.371435i | \(-0.878866\pi\) |
0.618352 | − | 0.785901i | \(-0.287801\pi\) | |||||||
\(12\) | − | 3.46410i | − | 0.288675i | ||||||
\(13\) | 3.81310 | + | 12.4282i | 0.293316 | + | 0.956016i | ||||
\(14\) | −7.31952 | −0.522823 | ||||||||
\(15\) | 9.52511 | − | 2.55225i | 0.635007 | − | 0.170150i | ||||
\(16\) | 2.00000 | − | 3.46410i | 0.125000 | − | 0.216506i | ||||
\(17\) | −16.3290 | + | 9.42753i | −0.960527 | + | 0.554560i | −0.896335 | − | 0.443377i | \(-0.853780\pi\) |
−0.0641917 | + | 0.997938i | \(0.520447\pi\) | |||||||
\(18\) | −3.00000 | − | 3.00000i | −0.166667 | − | 0.166667i | ||||
\(19\) | −7.85591 | + | 29.3187i | −0.413469 | + | 1.54309i | 0.374413 | + | 0.927262i | \(0.377844\pi\) |
−0.787883 | + | 0.615826i | \(0.788823\pi\) | |||||||
\(20\) | 10.9986 | + | 2.94708i | 0.549932 | + | 0.147354i | ||||
\(21\) | −6.33889 | + | 6.33889i | −0.301852 | + | 0.301852i | ||||
\(22\) | −9.31952 | − | 16.1419i | −0.423614 | − | 0.733722i | ||||
\(23\) | −10.4840 | − | 6.05292i | −0.455825 | − | 0.263170i | 0.254462 | − | 0.967083i | \(-0.418102\pi\) |
−0.710287 | + | 0.703912i | \(0.751435\pi\) | |||||||
\(24\) | −1.26795 | − | 4.73205i | −0.0528312 | − | 0.197169i | ||||
\(25\) | 7.41388i | 0.296555i | ||||||||
\(26\) | 9.75784 | + | 15.5815i | 0.375301 | + | 0.599290i | ||||
\(27\) | −5.19615 | −0.192450 | ||||||||
\(28\) | −9.99865 | + | 2.67913i | −0.357095 | + | 0.0956832i | ||||
\(29\) | 18.4722 | − | 31.9948i | 0.636972 | − | 1.10327i | −0.349122 | − | 0.937077i | \(-0.613520\pi\) |
0.986094 | − | 0.166190i | \(-0.0531467\pi\) | |||||||
\(30\) | 12.0774 | − | 6.97286i | 0.402578 | − | 0.232429i | ||||
\(31\) | −6.48248 | − | 6.48248i | −0.209112 | − | 0.209112i | 0.594778 | − | 0.803890i | \(-0.297240\pi\) |
−0.803890 | + | 0.594778i | \(0.797240\pi\) | |||||||
\(32\) | 1.46410 | − | 5.46410i | 0.0457532 | − | 0.170753i | ||||
\(33\) | −22.0502 | − | 5.90834i | −0.668188 | − | 0.179041i | ||||
\(34\) | −18.8551 | + | 18.8551i | −0.554560 | + | 0.554560i | ||||
\(35\) | −14.7334 | − | 25.5190i | −0.420954 | − | 0.729114i | ||||
\(36\) | −5.19615 | − | 3.00000i | −0.144338 | − | 0.0833333i | ||||
\(37\) | 13.6094 | + | 50.7908i | 0.367821 | + | 1.37273i | 0.863556 | + | 0.504252i | \(0.168232\pi\) |
−0.495736 | + | 0.868473i | \(0.665102\pi\) | |||||||
\(38\) | 42.9255i | 1.12962i | ||||||||
\(39\) | 21.9446 | + | 5.04348i | 0.562681 | + | 0.129320i | ||||
\(40\) | 16.1031 | 0.402578 | ||||||||
\(41\) | −6.38053 | + | 1.70966i | −0.155623 | + | 0.0416989i | −0.335789 | − | 0.941937i | \(-0.609003\pi\) |
0.180167 | + | 0.983636i | \(0.442336\pi\) | |||||||
\(42\) | −6.33889 | + | 10.9793i | −0.150926 | + | 0.261411i | ||||
\(43\) | 11.7826 | − | 6.80268i | 0.274014 | − | 0.158202i | −0.356697 | − | 0.934220i | \(-0.616097\pi\) |
0.630710 | + | 0.776018i | \(0.282764\pi\) | |||||||
\(44\) | −18.6390 | − | 18.6390i | −0.423614 | − | 0.423614i | ||||
\(45\) | 4.42062 | − | 16.4980i | 0.0982360 | − | 0.366622i | ||||
\(46\) | −16.5369 | − | 4.43105i | −0.359498 | − | 0.0963271i | ||||
\(47\) | 61.6060 | − | 61.6060i | 1.31077 | − | 1.31077i | 0.389914 | − | 0.920851i | \(-0.372505\pi\) |
0.920851 | − | 0.389914i | \(-0.127495\pi\) | |||||||
\(48\) | −3.46410 | − | 6.00000i | −0.0721688 | − | 0.125000i | ||||
\(49\) | −19.2364 | − | 11.1062i | −0.392580 | − | 0.226656i | ||||
\(50\) | 2.71367 | + | 10.1276i | 0.0542734 | + | 0.202551i | ||||
\(51\) | 32.6579i | 0.640351i | ||||||||
\(52\) | 19.0327 | + | 17.7132i | 0.366013 | + | 0.340638i | ||||
\(53\) | 4.64409 | 0.0876244 | 0.0438122 | − | 0.999040i | \(-0.486050\pi\) | ||||
0.0438122 | + | 0.999040i | \(0.486050\pi\) | |||||||
\(54\) | −7.09808 | + | 1.90192i | −0.131446 | + | 0.0352208i | ||||
\(55\) | 37.5184 | − | 64.9837i | 0.682152 | − | 1.18152i | ||||
\(56\) | −12.6778 | + | 7.31952i | −0.226389 | + | 0.130706i | ||||
\(57\) | 37.1746 | + | 37.1746i | 0.652185 | + | 0.652185i | ||||
\(58\) | 13.5226 | − | 50.4670i | 0.233148 | − | 0.870120i | ||||
\(59\) | 24.1018 | + | 6.45805i | 0.408505 | + | 0.109459i | 0.457219 | − | 0.889354i | \(-0.348846\pi\) |
−0.0487140 | + | 0.998813i | \(0.515512\pi\) | |||||||
\(60\) | 13.9457 | − | 13.9457i | 0.232429 | − | 0.232429i | ||||
\(61\) | −19.2713 | − | 33.3788i | −0.315923 | − | 0.547194i | 0.663710 | − | 0.747990i | \(-0.268981\pi\) |
−0.979633 | + | 0.200795i | \(0.935647\pi\) | |||||||
\(62\) | −11.2280 | − | 6.48248i | −0.181097 | − | 0.104556i | ||||
\(63\) | 4.01869 | + | 14.9980i | 0.0637888 | + | 0.238063i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | −34.6825 | + | 65.3840i | −0.533577 | + | 1.00591i | ||||
\(66\) | −32.2838 | −0.489148 | ||||||||
\(67\) | 91.8346 | − | 24.6070i | 1.37067 | − | 0.367269i | 0.502944 | − | 0.864319i | \(-0.332250\pi\) |
0.867722 | + | 0.497050i | \(0.165583\pi\) | |||||||
\(68\) | −18.8551 | + | 32.6579i | −0.277280 | + | 0.480263i | ||||
\(69\) | −18.1588 | + | 10.4840i | −0.263170 | + | 0.151942i | ||||
\(70\) | −29.4668 | − | 29.4668i | −0.420954 | − | 0.420954i | ||||
\(71\) | 10.5106 | − | 39.2261i | 0.148037 | − | 0.552481i | −0.851565 | − | 0.524250i | \(-0.824346\pi\) |
0.999601 | − | 0.0282312i | \(-0.00898747\pi\) | |||||||
\(72\) | −8.19615 | − | 2.19615i | −0.113835 | − | 0.0305021i | ||||
\(73\) | 60.4486 | − | 60.4486i | 0.828063 | − | 0.828063i | −0.159186 | − | 0.987249i | \(-0.550887\pi\) |
0.987249 | + | 0.159186i | \(0.0508869\pi\) | |||||||
\(74\) | 37.1815 | + | 64.4002i | 0.502452 | + | 0.870273i | ||||
\(75\) | 11.1208 | + | 6.42061i | 0.148278 | + | 0.0856082i | ||||
\(76\) | 15.7118 | + | 58.6373i | 0.206735 | + | 0.771544i | ||||
\(77\) | 68.2144i | 0.885901i | ||||||||
\(78\) | 31.8229 | − | 1.14274i | 0.407985 | − | 0.0146505i | ||||
\(79\) | −94.2854 | −1.19349 | −0.596743 | − | 0.802433i | \(-0.703539\pi\) | ||||
−0.596743 | + | 0.802433i | \(0.703539\pi\) | |||||||
\(80\) | 21.9973 | − | 5.89416i | 0.274966 | − | 0.0736770i | ||||
\(81\) | −4.50000 | + | 7.79423i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −8.09018 | + | 4.67087i | −0.0986608 | + | 0.0569618i | ||||
\(83\) | −63.4890 | − | 63.4890i | −0.764928 | − | 0.764928i | 0.212281 | − | 0.977209i | \(-0.431911\pi\) |
−0.977209 | + | 0.212281i | \(0.931911\pi\) | |||||||
\(84\) | −4.64039 | + | 17.3182i | −0.0552427 | + | 0.206169i | ||||
\(85\) | −103.690 | − | 27.7837i | −1.21988 | − | 0.326867i | ||||
\(86\) | 13.6054 | − | 13.6054i | 0.158202 | − | 0.158202i | ||||
\(87\) | −31.9948 | − | 55.4166i | −0.367756 | − | 0.636972i | ||||
\(88\) | −32.2838 | − | 18.6390i | −0.366861 | − | 0.211807i | ||||
\(89\) | 40.3655 | + | 150.646i | 0.453545 | + | 1.69265i | 0.692330 | + | 0.721581i | \(0.256584\pi\) |
−0.238784 | + | 0.971073i | \(0.576749\pi\) | |||||||
\(90\) | − | 24.1547i | − | 0.268386i | ||||||
\(91\) | −2.41456 | − | 67.2405i | −0.0265336 | − | 0.738907i | ||||
\(92\) | −24.2117 | −0.263170 | ||||||||
\(93\) | −15.3377 | + | 4.10973i | −0.164922 | + | 0.0441906i | ||||
\(94\) | 61.6060 | − | 106.705i | 0.655383 | − | 1.13516i | ||||
\(95\) | −149.657 | + | 86.4044i | −1.57534 | + | 0.909520i | ||||
\(96\) | −6.92820 | − | 6.92820i | −0.0721688 | − | 0.0721688i | ||||
\(97\) | −39.2736 | + | 146.571i | −0.404882 | + | 1.51104i | 0.399391 | + | 0.916781i | \(0.369222\pi\) |
−0.804273 | + | 0.594260i | \(0.797445\pi\) | |||||||
\(98\) | −30.3426 | − | 8.13028i | −0.309618 | − | 0.0829620i | ||||
\(99\) | −27.9586 | + | 27.9586i | −0.282410 | + | 0.282410i | ||||
\(100\) | 7.41388 | + | 12.8412i | 0.0741388 | + | 0.128412i | ||||
\(101\) | 39.8138 | + | 22.9865i | 0.394196 | + | 0.227589i | 0.683977 | − | 0.729504i | \(-0.260249\pi\) |
−0.289781 | + | 0.957093i | \(0.593582\pi\) | |||||||
\(102\) | 11.9536 | + | 44.6115i | 0.117192 | + | 0.437368i | ||||
\(103\) | 92.8099i | 0.901067i | 0.892759 | + | 0.450534i | \(0.148766\pi\) | ||||
−0.892759 | + | 0.450534i | \(0.851234\pi\) | |||||||
\(104\) | 32.4826 | + | 17.2302i | 0.312333 | + | 0.165675i | ||||
\(105\) | −51.0380 | −0.486076 | ||||||||
\(106\) | 6.34395 | − | 1.69986i | 0.0598486 | − | 0.0160364i | ||||
\(107\) | −37.6202 | + | 65.1600i | −0.351590 | + | 0.608972i | −0.986528 | − | 0.163591i | \(-0.947692\pi\) |
0.634938 | + | 0.772563i | \(0.281026\pi\) | |||||||
\(108\) | −9.00000 | + | 5.19615i | −0.0833333 | + | 0.0481125i | ||||
\(109\) | −46.0551 | − | 46.0551i | −0.422524 | − | 0.422524i | 0.463548 | − | 0.886072i | \(-0.346576\pi\) |
−0.886072 | + | 0.463548i | \(0.846576\pi\) | |||||||
\(110\) | 27.4654 | − | 102.502i | 0.249685 | − | 0.931837i | ||||
\(111\) | 87.9723 | + | 23.5721i | 0.792544 | + | 0.212361i | ||||
\(112\) | −14.6390 | + | 14.6390i | −0.130706 | + | 0.130706i | ||||
\(113\) | −78.2467 | − | 135.527i | −0.692449 | − | 1.19936i | −0.971033 | − | 0.238945i | \(-0.923199\pi\) |
0.278585 | − | 0.960412i | \(-0.410135\pi\) | |||||||
\(114\) | 64.3882 | + | 37.1746i | 0.564809 | + | 0.326093i | ||||
\(115\) | −17.8384 | − | 66.5739i | −0.155117 | − | 0.578904i | ||||
\(116\) | − | 73.8888i | − | 0.636972i | ||||||
\(117\) | 26.5698 | − | 28.5490i | 0.227092 | − | 0.244009i | ||||
\(118\) | 35.2875 | 0.299046 | ||||||||
\(119\) | 94.2625 | − | 25.2576i | 0.792122 | − | 0.212248i | ||||
\(120\) | 13.9457 | − | 24.1547i | 0.116214 | − | 0.201289i | ||||
\(121\) | −45.6455 | + | 26.3534i | −0.377235 | + | 0.217797i | ||||
\(122\) | −38.5426 | − | 38.5426i | −0.315923 | − | 0.315923i | ||||
\(123\) | −2.96121 | + | 11.0514i | −0.0240749 | + | 0.0898487i | ||||
\(124\) | −17.7105 | − | 4.74551i | −0.142826 | − | 0.0382702i | ||||
\(125\) | 70.7979 | − | 70.7979i | 0.566383 | − | 0.566383i | ||||
\(126\) | 10.9793 | + | 19.0167i | 0.0871371 | + | 0.150926i | ||||
\(127\) | 158.809 | + | 91.6886i | 1.25047 | + | 0.721957i | 0.971202 | − | 0.238257i | \(-0.0765760\pi\) |
0.279265 | + | 0.960214i | \(0.409909\pi\) | |||||||
\(128\) | −2.92820 | − | 10.9282i | −0.0228766 | − | 0.0853766i | ||||
\(129\) | − | 23.5652i | − | 0.182676i | ||||||
\(130\) | −23.4450 | + | 102.011i | −0.180346 | + | 0.784699i | ||||
\(131\) | −151.996 | −1.16027 | −0.580137 | − | 0.814519i | \(-0.697001\pi\) | ||||
−0.580137 | + | 0.814519i | \(0.697001\pi\) | |||||||
\(132\) | −44.1004 | + | 11.8167i | −0.334094 | + | 0.0895203i | ||||
\(133\) | 78.5485 | − | 136.050i | 0.590590 | − | 1.02293i | ||||
\(134\) | 116.442 | − | 67.2276i | 0.868968 | − | 0.501699i | ||||
\(135\) | −20.9186 | − | 20.9186i | −0.154953 | − | 0.154953i | ||||
\(136\) | −13.8029 | + | 51.5130i | −0.101492 | + | 0.378772i | ||||
\(137\) | 232.278 | + | 62.2386i | 1.69546 | + | 0.454297i | 0.971789 | − | 0.235851i | \(-0.0757876\pi\) |
0.723669 | + | 0.690147i | \(0.242454\pi\) | |||||||
\(138\) | −20.9679 | + | 20.9679i | −0.151942 | + | 0.151942i | ||||
\(139\) | 92.7313 | + | 160.615i | 0.667132 | + | 1.15551i | 0.978703 | + | 0.205283i | \(0.0658115\pi\) |
−0.311571 | + | 0.950223i | \(0.600855\pi\) | |||||||
\(140\) | −51.0380 | − | 29.4668i | −0.364557 | − | 0.210477i | ||||
\(141\) | −39.0566 | − | 145.761i | −0.276997 | − | 1.03377i | ||||
\(142\) | − | 57.4311i | − | 0.404444i | ||||||
\(143\) | 145.213 | − | 90.9383i | 1.01547 | − | 0.635932i | ||||
\(144\) | −12.0000 | −0.0833333 | ||||||||
\(145\) | 203.169 | − | 54.4390i | 1.40117 | − | 0.375441i | ||||
\(146\) | 60.4486 | − | 104.700i | 0.414031 | − | 0.717123i | ||||
\(147\) | −33.3185 | + | 19.2364i | −0.226656 | + | 0.130860i | ||||
\(148\) | 74.3630 | + | 74.3630i | 0.502452 | + | 0.502452i | ||||
\(149\) | −4.67634 | + | 17.4523i | −0.0313848 | + | 0.117130i | −0.979841 | − | 0.199778i | \(-0.935978\pi\) |
0.948456 | + | 0.316908i | \(0.102645\pi\) | |||||||
\(150\) | 17.5414 | + | 4.70021i | 0.116943 | + | 0.0313348i | ||||
\(151\) | −95.4196 | + | 95.4196i | −0.631918 | + | 0.631918i | −0.948549 | − | 0.316631i | \(-0.897448\pi\) |
0.316631 | + | 0.948549i | \(0.397448\pi\) | |||||||
\(152\) | 42.9255 | + | 74.3491i | 0.282405 | + | 0.489139i | ||||
\(153\) | 48.9869 | + | 28.2826i | 0.320176 | + | 0.184853i | ||||
\(154\) | 24.9682 | + | 93.1826i | 0.162131 | + | 0.605082i | ||||
\(155\) | − | 52.1942i | − | 0.336736i | ||||||
\(156\) | 43.0526 | − | 13.2090i | 0.275978 | − | 0.0846730i | ||||
\(157\) | −195.116 | −1.24278 | −0.621389 | − | 0.783502i | \(-0.713431\pi\) | ||||
−0.621389 | + | 0.783502i | \(0.713431\pi\) | |||||||
\(158\) | −128.796 | + | 34.5108i | −0.815166 | + | 0.218423i | ||||
\(159\) | 4.02190 | − | 6.96614i | 0.0252950 | − | 0.0438122i | ||||
\(160\) | 27.8915 | − | 16.1031i | 0.174322 | − | 0.100645i | ||||
\(161\) | 44.3045 | + | 44.3045i | 0.275183 | + | 0.275183i | ||||
\(162\) | −3.29423 | + | 12.2942i | −0.0203347 | + | 0.0758903i | ||||
\(163\) | −119.531 | − | 32.0282i | −0.733319 | − | 0.196492i | −0.127212 | − | 0.991876i | \(-0.540603\pi\) |
−0.606107 | + | 0.795383i | \(0.707270\pi\) | |||||||
\(164\) | −9.34174 | + | 9.34174i | −0.0569618 | + | 0.0569618i | ||||
\(165\) | −64.9837 | − | 112.555i | −0.393841 | − | 0.682152i | ||||
\(166\) | −109.966 | − | 63.4890i | −0.662447 | − | 0.382464i | ||||
\(167\) | 32.1530 | + | 119.997i | 0.192533 | + | 0.718542i | 0.992892 | + | 0.119021i | \(0.0379756\pi\) |
−0.800359 | + | 0.599521i | \(0.795358\pi\) | |||||||
\(168\) | 25.3556i | 0.150926i | ||||||||
\(169\) | −139.920 | + | 94.7801i | −0.827932 | + | 0.560829i | ||||
\(170\) | −151.813 | −0.893016 | ||||||||
\(171\) | 87.9560 | − | 23.5677i | 0.514362 | − | 0.137823i | ||||
\(172\) | 13.6054 | − | 23.5652i | 0.0791009 | − | 0.137007i | ||||
\(173\) | 103.214 | − | 59.5906i | 0.596612 | − | 0.344454i | −0.171096 | − | 0.985254i | \(-0.554731\pi\) |
0.767708 | + | 0.640800i | \(0.221397\pi\) | |||||||
\(174\) | −63.9895 | − | 63.9895i | −0.367756 | − | 0.367756i | ||||
\(175\) | 9.93138 | − | 37.0644i | 0.0567507 | − | 0.211797i | ||||
\(176\) | −50.9228 | − | 13.6447i | −0.289334 | − | 0.0775268i | ||||
\(177\) | 30.5598 | − | 30.5598i | 0.172654 | − | 0.172654i | ||||
\(178\) | 110.281 | + | 191.012i | 0.619554 | + | 1.07310i | ||||
\(179\) | −185.772 | − | 107.255i | −1.03783 | − | 0.599192i | −0.118613 | − | 0.992941i | \(-0.537845\pi\) |
−0.919218 | + | 0.393748i | \(0.871178\pi\) | |||||||
\(180\) | −8.84124 | − | 32.9959i | −0.0491180 | − | 0.183311i | ||||
\(181\) | − | 343.720i | − | 1.89901i | −0.313755 | − | 0.949504i | \(-0.601587\pi\) | ||
0.313755 | − | 0.949504i | \(-0.398413\pi\) | |||||||
\(182\) | −27.9101 | − | 90.9685i | −0.153352 | − | 0.499827i | ||||
\(183\) | −66.7577 | −0.364796 | ||||||||
\(184\) | −33.0738 | + | 8.86209i | −0.179749 | + | 0.0481635i | ||||
\(185\) | −149.685 | + | 259.261i | −0.809106 | + | 1.40141i | ||||
\(186\) | −19.4474 | + | 11.2280i | −0.104556 | + | 0.0603655i | ||||
\(187\) | 175.720 | + | 175.720i | 0.939679 | + | 0.939679i | ||||
\(188\) | 45.0987 | − | 168.311i | 0.239887 | − | 0.895270i | ||||
\(189\) | 25.9773 | + | 6.96058i | 0.137446 | + | 0.0368285i | ||||
\(190\) | −172.809 | + | 172.809i | −0.909520 | + | 0.909520i | ||||
\(191\) | −124.859 | − | 216.262i | −0.653712 | − | 1.13226i | −0.982215 | − | 0.187760i | \(-0.939877\pi\) |
0.328503 | − | 0.944503i | \(-0.393456\pi\) | |||||||
\(192\) | −12.0000 | − | 6.92820i | −0.0625000 | − | 0.0360844i | ||||
\(193\) | 35.0725 | + | 130.892i | 0.181723 | + | 0.678199i | 0.995308 | + | 0.0967539i | \(0.0308460\pi\) |
−0.813585 | + | 0.581445i | \(0.802487\pi\) | |||||||
\(194\) | 214.595i | 1.10616i | ||||||||
\(195\) | 68.0401 | + | 108.648i | 0.348923 | + | 0.557169i | ||||
\(196\) | −44.4246 | −0.226656 | ||||||||
\(197\) | −3.39652 | + | 0.910096i | −0.0172412 | + | 0.00461977i | −0.267429 | − | 0.963577i | \(-0.586174\pi\) |
0.250188 | + | 0.968197i | \(0.419508\pi\) | |||||||
\(198\) | −27.9586 | + | 48.4256i | −0.141205 | + | 0.244574i | ||||
\(199\) | −229.666 | + | 132.598i | −1.15410 | + | 0.666319i | −0.949883 | − | 0.312606i | \(-0.898798\pi\) |
−0.204216 | + | 0.978926i | \(0.565465\pi\) | |||||||
\(200\) | 14.8278 | + | 14.8278i | 0.0741388 | + | 0.0741388i | ||||
\(201\) | 42.6206 | − | 159.062i | 0.212043 | − | 0.791355i | ||||
\(202\) | 62.8003 | + | 16.8273i | 0.310893 | + | 0.0833034i | ||||
\(203\) | −135.208 | + | 135.208i | −0.666047 | + | 0.666047i | ||||
\(204\) | 32.6579 | + | 56.5652i | 0.160088 | + | 0.277280i | ||||
\(205\) | −32.5693 | − | 18.8039i | −0.158875 | − | 0.0917264i | ||||
\(206\) | 33.9708 | + | 126.781i | 0.164907 | + | 0.615440i | ||||
\(207\) | 36.3175i | 0.175447i | ||||||||
\(208\) | 50.6788 | + | 11.6474i | 0.243648 | + | 0.0559972i | ||||
\(209\) | 400.045 | 1.91409 | ||||||||
\(210\) | −69.7192 | + | 18.6812i | −0.331996 | + | 0.0889581i | ||||
\(211\) | 6.87066 | − | 11.9003i | 0.0325624 | − | 0.0563997i | −0.849285 | − | 0.527935i | \(-0.822967\pi\) |
0.881847 | + | 0.471535i | \(0.156300\pi\) | |||||||
\(212\) | 8.04381 | − | 4.64409i | 0.0379425 | − | 0.0219061i | ||||
\(213\) | −49.7368 | − | 49.7368i | −0.233506 | − | 0.233506i | ||||
\(214\) | −27.5399 | + | 102.780i | −0.128691 | + | 0.480281i | ||||
\(215\) | 74.8202 | + | 20.0480i | 0.348001 | + | 0.0932466i | ||||
\(216\) | −10.3923 | + | 10.3923i | −0.0481125 | + | 0.0481125i | ||||
\(217\) | 23.7243 | + | 41.0917i | 0.109329 | + | 0.189363i | ||||
\(218\) | −79.7698 | − | 46.0551i | −0.365917 | − | 0.211262i | ||||
\(219\) | −38.3229 | − | 143.023i | −0.174990 | − | 0.653072i | ||||
\(220\) | − | 150.073i | − | 0.682152i | ||||||
\(221\) | −179.431 | − | 166.991i | −0.811906 | − | 0.755617i | ||||
\(222\) | 128.800 | 0.580182 | ||||||||
\(223\) | 98.7837 | − | 26.4690i | 0.442976 | − | 0.118695i | −0.0304348 | − | 0.999537i | \(-0.509689\pi\) |
0.473411 | + | 0.880842i | \(0.343023\pi\) | |||||||
\(224\) | −14.6390 | + | 25.3556i | −0.0653528 | + | 0.113194i | ||||
\(225\) | 19.2618 | − | 11.1208i | 0.0856082 | − | 0.0494259i | ||||
\(226\) | −156.493 | − | 156.493i | −0.692449 | − | 0.692449i | ||||
\(227\) | −59.9993 | + | 223.920i | −0.264314 | + | 0.986433i | 0.698355 | + | 0.715752i | \(0.253916\pi\) |
−0.962669 | + | 0.270682i | \(0.912751\pi\) | |||||||
\(228\) | 101.563 | + | 27.2137i | 0.445451 | + | 0.119358i | ||||
\(229\) | 306.032 | − | 306.032i | 1.33639 | − | 1.33639i | 0.436854 | − | 0.899533i | \(-0.356093\pi\) |
0.899533 | − | 0.436854i | \(-0.143907\pi\) | |||||||
\(230\) | −48.7355 | − | 84.4124i | −0.211894 | − | 0.367010i | ||||
\(231\) | 102.322 | + | 59.0754i | 0.442951 | + | 0.255738i | ||||
\(232\) | −27.0452 | − | 100.934i | −0.116574 | − | 0.435060i | ||||
\(233\) | 156.892i | 0.673356i | 0.941620 | + | 0.336678i | \(0.109303\pi\) | ||||
−0.941620 | + | 0.336678i | \(0.890697\pi\) | |||||||
\(234\) | 25.8453 | − | 48.7239i | 0.110450 | − | 0.208222i | ||||
\(235\) | 496.025 | 2.11074 | ||||||||
\(236\) | 48.2036 | − | 12.9161i | 0.204252 | − | 0.0547293i | ||||
\(237\) | −81.6535 | + | 141.428i | −0.344530 | + | 0.596743i | ||||
\(238\) | 119.520 | − | 69.0050i | 0.502185 | − | 0.289937i | ||||
\(239\) | 10.5731 | + | 10.5731i | 0.0442390 | + | 0.0442390i | 0.728880 | − | 0.684641i | \(-0.240041\pi\) |
−0.684641 | + | 0.728880i | \(0.740041\pi\) | |||||||
\(240\) | 10.2090 | − | 38.1004i | 0.0425374 | − | 0.158752i | ||||
\(241\) | −227.506 | − | 60.9601i | −0.944009 | − | 0.252946i | −0.246191 | − | 0.969221i | \(-0.579179\pi\) |
−0.697818 | + | 0.716275i | \(0.745846\pi\) | |||||||
\(242\) | −52.7068 | + | 52.7068i | −0.217797 | + | 0.217797i | ||||
\(243\) | 7.79423 | + | 13.5000i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | −66.7577 | − | 38.5426i | −0.273597 | − | 0.157961i | ||||
\(245\) | −32.7307 | − | 122.153i | −0.133595 | − | 0.498583i | ||||
\(246\) | 16.1804i | 0.0657738i | ||||||||
\(247\) | −394.334 | + | 14.1602i | −1.59649 | + | 0.0573289i | ||||
\(248\) | −25.9299 | −0.104556 | ||||||||
\(249\) | −150.217 | + | 40.2504i | −0.603280 | + | 0.161648i | ||||
\(250\) | 70.7979 | − | 122.626i | 0.283192 | − | 0.490502i | ||||
\(251\) | 66.6188 | − | 38.4624i | 0.265414 | − | 0.153237i | −0.361388 | − | 0.932416i | \(-0.617697\pi\) |
0.626802 | + | 0.779179i | \(0.284364\pi\) | |||||||
\(252\) | 21.9586 | + | 21.9586i | 0.0871371 | + | 0.0871371i | ||||
\(253\) | −41.2952 | + | 154.116i | −0.163222 | + | 0.609153i | ||||
\(254\) | 250.498 | + | 67.1207i | 0.986212 | + | 0.264255i | ||||
\(255\) | −131.474 | + | 131.474i | −0.515583 | + | 0.515583i | ||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 55.0112 | + | 31.7607i | 0.214051 | + | 0.123583i | 0.603193 | − | 0.797595i | \(-0.293895\pi\) |
−0.389142 | + | 0.921178i | \(0.627228\pi\) | |||||||
\(258\) | −8.62545 | − | 32.1906i | −0.0334320 | − | 0.124770i | ||||
\(259\) | − | 272.151i | − | 1.05077i | ||||||
\(260\) | 5.31210 | + | 147.931i | 0.0204311 | + | 0.568965i | ||||
\(261\) | −110.833 | −0.424648 | ||||||||
\(262\) | −207.630 | + | 55.6343i | −0.792482 | + | 0.212345i | ||||
\(263\) | −112.589 | + | 195.009i | −0.428094 | + | 0.741481i | −0.996704 | − | 0.0811268i | \(-0.974148\pi\) |
0.568610 | + | 0.822607i | \(0.307481\pi\) | |||||||
\(264\) | −55.9171 | + | 32.2838i | −0.211807 | + | 0.122287i | ||||
\(265\) | 18.6961 | + | 18.6961i | 0.0705514 | + | 0.0705514i | ||||
\(266\) | 57.5015 | − | 214.598i | 0.216171 | − | 0.806761i | ||||
\(267\) | 260.927 | + | 69.9151i | 0.977254 | + | 0.261854i | ||||
\(268\) | 134.455 | − | 134.455i | 0.501699 | − | 0.501699i | ||||
\(269\) | −11.0720 | − | 19.1773i | −0.0411600 | − | 0.0712912i | 0.844712 | − | 0.535222i | \(-0.179772\pi\) |
−0.885872 | + | 0.463931i | \(0.846439\pi\) | |||||||
\(270\) | −36.2321 | − | 20.9186i | −0.134193 | − | 0.0774763i | ||||
\(271\) | −38.5487 | − | 143.866i | −0.142246 | − | 0.530869i | −0.999863 | − | 0.0165796i | \(-0.994722\pi\) |
0.857617 | − | 0.514290i | \(-0.171944\pi\) | |||||||
\(272\) | 75.4202i | 0.277280i | ||||||||
\(273\) | −102.952 | − | 54.6102i | −0.377113 | − | 0.200037i | ||||
\(274\) | 340.078 | 1.24116 | ||||||||
\(275\) | 94.3839 | − | 25.2901i | 0.343214 | − | 0.0919640i | ||||
\(276\) | −20.9679 | + | 36.3175i | −0.0759708 | + | 0.131585i | ||||
\(277\) | 175.448 | − | 101.295i | 0.633388 | − | 0.365687i | −0.148675 | − | 0.988886i | \(-0.547501\pi\) |
0.782063 | + | 0.623200i | \(0.214168\pi\) | |||||||
\(278\) | 185.463 | + | 185.463i | 0.667132 | + | 0.667132i | ||||
\(279\) | −7.11826 | + | 26.5657i | −0.0255135 | + | 0.0952176i | ||||
\(280\) | −80.5048 | − | 21.5712i | −0.287517 | − | 0.0770400i | ||||
\(281\) | 44.0655 | − | 44.0655i | 0.156817 | − | 0.156817i | −0.624338 | − | 0.781154i | \(-0.714631\pi\) |
0.781154 | + | 0.624338i | \(0.214631\pi\) | |||||||
\(282\) | −106.705 | − | 184.818i | −0.378385 | − | 0.655383i | ||||
\(283\) | −122.008 | − | 70.4411i | −0.431122 | − | 0.248909i | 0.268702 | − | 0.963223i | \(-0.413405\pi\) |
−0.699825 | + | 0.714315i | \(0.746739\pi\) | |||||||
\(284\) | −21.0212 | − | 78.4523i | −0.0740184 | − | 0.276240i | ||||
\(285\) | 299.314i | 1.05022i | ||||||||
\(286\) | 165.078 | − | 177.376i | 0.577197 | − | 0.620194i | ||||
\(287\) | 34.1885 | 0.119124 | ||||||||
\(288\) | −16.3923 | + | 4.39230i | −0.0569177 | + | 0.0152511i | ||||
\(289\) | 33.2565 | − | 57.6020i | 0.115075 | − | 0.199315i | ||||
\(290\) | 257.608 | − | 148.730i | 0.888304 | − | 0.512862i | ||||
\(291\) | 185.844 | + | 185.844i | 0.638641 | + | 0.638641i | ||||
\(292\) | 44.2514 | − | 165.149i | 0.151546 | − | 0.565577i | ||||
\(293\) | −165.289 | − | 44.2892i | −0.564128 | − | 0.151158i | −0.0345257 | − | 0.999404i | \(-0.510992\pi\) |
−0.529602 | + | 0.848246i | \(0.677659\pi\) | |||||||
\(294\) | −38.4729 | + | 38.4729i | −0.130860 | + | 0.130860i | ||||
\(295\) | 71.0299 | + | 123.027i | 0.240779 | + | 0.417042i | ||||
\(296\) | 128.800 | + | 74.3630i | 0.435137 | + | 0.251226i | ||||
\(297\) | 17.7250 | + | 66.1507i | 0.0596802 | + | 0.222729i | ||||
\(298\) | 25.5520i | 0.0857449i | ||||||||
\(299\) | 35.2505 | − | 153.377i | 0.117895 | − | 0.512968i | ||||
\(300\) | 25.6824 | 0.0856082 | ||||||||
\(301\) | −68.0176 | + | 18.2253i | −0.225972 | + | 0.0605490i | ||||
\(302\) | −95.4196 | + | 165.272i | −0.315959 | + | 0.547257i | ||||
\(303\) | 68.9595 | − | 39.8138i | 0.227589 | − | 0.131399i | ||||
\(304\) | 85.8510 | + | 85.8510i | 0.282405 | + | 0.282405i | ||||
\(305\) | 56.7940 | − | 211.958i | 0.186210 | − | 0.694945i | ||||
\(306\) | 77.2695 | + | 20.7043i | 0.252515 | + | 0.0676611i | ||||
\(307\) | −252.758 | + | 252.758i | −0.823317 | + | 0.823317i | −0.986582 | − | 0.163265i | \(-0.947797\pi\) |
0.163265 | + | 0.986582i | \(0.447797\pi\) | |||||||
\(308\) | 68.2144 | + | 118.151i | 0.221475 | + | 0.383606i | ||||
\(309\) | 139.215 | + | 80.3758i | 0.450534 | + | 0.260116i | ||||
\(310\) | −19.1044 | − | 71.2985i | −0.0616271 | − | 0.229995i | ||||
\(311\) | − | 209.742i | − | 0.674411i | −0.941431 | − | 0.337206i | \(-0.890518\pi\) | ||
0.941431 | − | 0.337206i | \(-0.109482\pi\) | |||||||
\(312\) | 53.9761 | − | 33.8021i | 0.173000 | − | 0.108340i | ||||
\(313\) | 386.143 | 1.23368 | 0.616842 | − | 0.787087i | \(-0.288412\pi\) | ||||
0.616842 | + | 0.787087i | \(0.288412\pi\) | |||||||
\(314\) | −266.534 | + | 71.4175i | −0.848834 | + | 0.227444i | ||||
\(315\) | −44.2002 | + | 76.5570i | −0.140318 | + | 0.243038i | ||||
\(316\) | −163.307 | + | 94.2854i | −0.516794 | + | 0.298371i | ||||
\(317\) | −114.759 | − | 114.759i | −0.362016 | − | 0.362016i | 0.502538 | − | 0.864555i | \(-0.332400\pi\) |
−0.864555 | + | 0.502538i | \(0.832400\pi\) | |||||||
\(318\) | 2.94424 | − | 10.9880i | 0.00925861 | − | 0.0345536i | ||||
\(319\) | −470.328 | − | 126.024i | −1.47438 | − | 0.395059i | ||||
\(320\) | 32.2063 | − | 32.2063i | 0.100645 | − | 0.100645i | ||||
\(321\) | 65.1600 | + | 112.860i | 0.202991 | + | 0.351590i | ||||
\(322\) | 76.7376 | + | 44.3045i | 0.238315 | + | 0.137592i | ||||
\(323\) | −148.124 | − | 552.805i | −0.458587 | − | 1.71147i | ||||
\(324\) | 18.0000i | 0.0555556i | ||||||||
\(325\) | −92.1413 | + | 28.2699i | −0.283512 | + | 0.0869843i | ||||
\(326\) | −175.005 | −0.536826 | ||||||||
\(327\) | −108.968 | + | 29.1978i | −0.333234 | + | 0.0892899i | ||||
\(328\) | −9.34174 | + | 16.1804i | −0.0284809 | + | 0.0493304i | ||||
\(329\) | −390.513 | + | 225.463i | −1.18697 | + | 0.685298i | ||||
\(330\) | −129.967 | − | 129.967i | −0.393841 | − | 0.393841i | ||||
\(331\) | −94.4880 | + | 352.634i | −0.285462 | + | 1.06536i | 0.663039 | + | 0.748585i | \(0.269267\pi\) |
−0.948501 | + | 0.316775i | \(0.897400\pi\) | |||||||
\(332\) | −173.455 | − | 46.4772i | −0.522456 | − | 0.139992i | ||||
\(333\) | 111.544 | − | 111.544i | 0.334968 | − | 0.334968i | ||||
\(334\) | 87.8436 | + | 152.150i | 0.263005 | + | 0.455538i | ||||
\(335\) | 468.769 | + | 270.644i | 1.39931 | + | 0.807892i | ||||
\(336\) | 9.28078 | + | 34.6363i | 0.0276214 | + | 0.103084i | ||||
\(337\) | 385.355i | 1.14349i | 0.820432 | + | 0.571744i | \(0.193733\pi\) | ||||
−0.820432 | + | 0.571744i | \(0.806267\pi\) | |||||||
\(338\) | −156.443 | + | 180.686i | −0.462849 | + | 0.534575i | ||||
\(339\) | −271.055 | −0.799571 | ||||||||
\(340\) | −207.380 | + | 55.5673i | −0.609942 | + | 0.163433i | ||||
\(341\) | −60.4136 | + | 104.639i | −0.177166 | + | 0.306861i | ||||
\(342\) | 111.524 | − | 64.3882i | 0.326093 | − | 0.188270i | ||||
\(343\) | 260.620 | + | 260.620i | 0.759825 | + | 0.759825i | ||||
\(344\) | 9.95981 | − | 37.1705i | 0.0289529 | − | 0.108054i | ||||
\(345\) | −115.309 | − | 30.8971i | −0.334230 | − | 0.0895567i | ||||
\(346\) | 119.181 | − | 119.181i | 0.344454 | − | 0.344454i | ||||
\(347\) | 11.9337 | + | 20.6697i | 0.0343909 | + | 0.0595669i | 0.882709 | − | 0.469921i | \(-0.155718\pi\) |
−0.848318 | + | 0.529488i | \(0.822384\pi\) | |||||||
\(348\) | −110.833 | − | 63.9895i | −0.318486 | − | 0.183878i | ||||
\(349\) | −80.6742 | − | 301.080i | −0.231158 | − | 0.862694i | −0.979843 | − | 0.199768i | \(-0.935981\pi\) |
0.748685 | − | 0.662926i | \(-0.230686\pi\) | |||||||
\(350\) | − | 54.2661i | − | 0.155046i | ||||||
\(351\) | −19.8135 | − | 64.5788i | −0.0564486 | − | 0.183985i | ||||
\(352\) | −74.5561 | −0.211807 | ||||||||
\(353\) | −546.864 | + | 146.532i | −1.54919 | + | 0.415104i | −0.929222 | − | 0.369523i | \(-0.879521\pi\) |
−0.619968 | + | 0.784627i | \(0.712854\pi\) | |||||||
\(354\) | 30.5598 | − | 52.9312i | 0.0863272 | − | 0.149523i | ||||
\(355\) | 200.229 | − | 115.603i | 0.564027 | − | 0.325641i | ||||
\(356\) | 220.561 | + | 220.561i | 0.619554 | + | 0.619554i | ||||
\(357\) | 43.7474 | − | 163.267i | 0.122542 | − | 0.457332i | ||||
\(358\) | −293.027 | − | 78.5164i | −0.818512 | − | 0.219320i | ||||
\(359\) | −30.3760 | + | 30.3760i | −0.0846129 | + | 0.0846129i | −0.748146 | − | 0.663534i | \(-0.769056\pi\) |
0.663534 | + | 0.748146i | \(0.269056\pi\) | |||||||
\(360\) | −24.1547 | − | 41.8372i | −0.0670964 | − | 0.116214i | ||||
\(361\) | −485.233 | − | 280.150i | −1.34414 | − | 0.776038i | ||||
\(362\) | −125.810 | − | 469.531i | −0.347543 | − | 1.29705i | ||||
\(363\) | 91.2909i | 0.251490i | ||||||||
\(364\) | −71.4227 | − | 114.049i | −0.196216 | − | 0.313323i | ||||
\(365\) | 486.706 | 1.33344 | ||||||||
\(366\) | −91.1927 | + | 24.4350i | −0.249160 | + | 0.0667623i | ||||
\(367\) | 226.506 | − | 392.320i | 0.617182 | − | 1.06899i | −0.372815 | − | 0.927906i | \(-0.621607\pi\) |
0.989997 | − | 0.141086i | \(-0.0450593\pi\) | |||||||
\(368\) | −41.9359 | + | 24.2117i | −0.113956 | + | 0.0657926i | ||||
\(369\) | 14.0126 | + | 14.0126i | 0.0379745 | + | 0.0379745i | ||||
\(370\) | −109.577 | + | 408.946i | −0.296153 | + | 1.10526i | ||||
\(371\) | −23.2173 | − | 6.22107i | −0.0625804 | − | 0.0167684i | ||||
\(372\) | −22.4560 | + | 22.4560i | −0.0603655 | + | 0.0603655i | ||||
\(373\) | 203.654 | + | 352.740i | 0.545991 | + | 0.945683i | 0.998544 | + | 0.0539461i | \(0.0171799\pi\) |
−0.452553 | + | 0.891737i | \(0.649487\pi\) | |||||||
\(374\) | 304.356 | + | 175.720i | 0.813786 | + | 0.469840i | ||||
\(375\) | −44.8841 | − | 167.510i | −0.119691 | − | 0.446692i | ||||
\(376\) | − | 246.424i | − | 0.655383i | ||||||
\(377\) | 468.074 | + | 107.577i | 1.24158 | + | 0.285349i | ||||
\(378\) | 38.0333 | 0.100617 | ||||||||
\(379\) | −10.1914 | + | 2.73079i | −0.0268903 | + | 0.00720524i | −0.272239 | − | 0.962230i | \(-0.587764\pi\) |
0.245349 | + | 0.969435i | \(0.421098\pi\) | |||||||
\(380\) | −172.809 | + | 299.314i | −0.454760 | + | 0.787668i | ||||
\(381\) | 275.066 | − | 158.809i | 0.721957 | − | 0.416822i | ||||
\(382\) | −249.718 | − | 249.718i | −0.653712 | − | 0.653712i | ||||
\(383\) | −127.444 | + | 475.626i | −0.332751 | + | 1.24184i | 0.573535 | + | 0.819181i | \(0.305571\pi\) |
−0.906287 | + | 0.422664i | \(0.861095\pi\) | |||||||
\(384\) | −18.9282 | − | 5.07180i | −0.0492922 | − | 0.0132078i | ||||
\(385\) | −274.616 | + | 274.616i | −0.713289 | + | 0.713289i | ||||
\(386\) | 95.8199 | + | 165.965i | 0.248238 | + | 0.429961i | ||||
\(387\) | −35.3477 | − | 20.4080i | −0.0913378 | − | 0.0527339i | ||||
\(388\) | 78.5471 | + | 293.142i | 0.202441 | + | 0.755520i | ||||
\(389\) | − | 61.5695i | − | 0.158276i | −0.996864 | − | 0.0791382i | \(-0.974783\pi\) | ||
0.996864 | − | 0.0791382i | \(-0.0252168\pi\) | |||||||
\(390\) | 132.712 | + | 123.512i | 0.340288 | + | 0.316696i | ||||
\(391\) | 228.256 | 0.583776 | ||||||||
\(392\) | −60.6852 | + | 16.2606i | −0.154809 | + | 0.0414810i | ||||
\(393\) | −131.632 | + | 227.994i | −0.334942 | + | 0.580137i | ||||
\(394\) | −4.30662 | + | 2.48643i | −0.0109305 | + | 0.00631073i | ||||
\(395\) | −379.573 | − | 379.573i | −0.960943 | − | 0.960943i | ||||
\(396\) | −20.4671 | + | 76.3842i | −0.0516846 | + | 0.192889i | ||||
\(397\) | 196.078 | + | 52.5390i | 0.493899 | + | 0.132340i | 0.497167 | − | 0.867655i | \(-0.334374\pi\) |
−0.00326782 | + | 0.999995i | \(0.501040\pi\) | |||||||
\(398\) | −265.195 | + | 265.195i | −0.666319 | + | 0.666319i | ||||
\(399\) | −136.050 | − | 235.645i | −0.340977 | − | 0.590590i | ||||
\(400\) | 25.6824 | + | 14.8278i | 0.0642061 | + | 0.0370694i | ||||
\(401\) | −71.0875 | − | 265.302i | −0.177276 | − | 0.661602i | −0.996153 | − | 0.0876329i | \(-0.972070\pi\) |
0.818877 | − | 0.573969i | \(-0.194597\pi\) | |||||||
\(402\) | − | 232.883i | − | 0.579312i | ||||||
\(403\) | 55.8472 | − | 105.284i | 0.138579 | − | 0.261251i | ||||
\(404\) | 91.9460 | 0.227589 | ||||||||
\(405\) | −49.4939 | + | 13.2619i | −0.122207 | + | 0.0327453i | ||||
\(406\) | −135.208 | + | 234.186i | −0.333023 | + | 0.576814i | ||||
\(407\) | 600.179 | − | 346.514i | 1.47464 | − | 0.851385i | ||||
\(408\) | 65.3158 | + | 65.3158i | 0.160088 | + | 0.160088i | ||||
\(409\) | −56.5699 | + | 211.122i | −0.138313 | + | 0.516190i | 0.861650 | + | 0.507504i | \(0.169432\pi\) |
−0.999962 | + | 0.00868619i | \(0.997235\pi\) | |||||||
\(410\) | −51.3732 | − | 13.7654i | −0.125301 | − | 0.0335742i | ||||
\(411\) | 294.516 | − | 294.516i | 0.716585 | − | 0.716585i | ||||
\(412\) | 92.8099 | + | 160.752i | 0.225267 | + | 0.390174i | ||||
\(413\) | −111.842 | − | 64.5718i | −0.270803 | − | 0.156348i | ||||
\(414\) | 13.2931 | + | 49.6107i | 0.0321090 | + | 0.119833i | ||||
\(415\) | − | 511.186i | − | 1.23177i | ||||||
\(416\) | 73.4917 | − | 2.63904i | 0.176663 | − | 0.00634384i | ||||
\(417\) | 321.231 | 0.770337 | ||||||||
\(418\) | 546.472 | − | 146.427i | 1.30735 | − | 0.350303i | ||||
\(419\) | 213.906 | − | 370.495i | 0.510514 | − | 0.884237i | −0.489411 | − | 0.872053i | \(-0.662788\pi\) |
0.999926 | − | 0.0121839i | \(-0.00387834\pi\) | |||||||
\(420\) | −88.4004 | + | 51.0380i | −0.210477 | + | 0.121519i | ||||
\(421\) | 275.833 | + | 275.833i | 0.655185 | + | 0.655185i | 0.954237 | − | 0.299052i | \(-0.0966703\pi\) |
−0.299052 | + | 0.954237i | \(0.596670\pi\) | |||||||
\(422\) | 5.02967 | − | 18.7710i | 0.0119187 | − | 0.0444810i | ||||
\(423\) | −252.466 | − | 67.6481i | −0.596846 | − | 0.159924i | ||||
\(424\) | 9.28819 | − | 9.28819i | 0.0219061 | − | 0.0219061i | ||||
\(425\) | −69.8946 | − | 121.061i | −0.164458 | − | 0.284849i | ||||
\(426\) | −86.1466 | − | 49.7368i | −0.202222 | − | 0.116753i | ||||
\(427\) | 51.6303 | + | 192.687i | 0.120914 | + | 0.451257i | ||||
\(428\) | 150.481i | 0.351590i | ||||||||
\(429\) | −10.6498 | − | 296.574i | −0.0248246 | − | 0.691314i | ||||
\(430\) | 109.544 | 0.254755 | ||||||||
\(431\) | −536.117 | + | 143.652i | −1.24389 | + | 0.333300i | −0.819974 | − | 0.572401i | \(-0.806012\pi\) |
−0.423917 | + | 0.905701i | \(0.639345\pi\) | |||||||
\(432\) | −10.3923 | + | 18.0000i | −0.0240563 | + | 0.0416667i | ||||
\(433\) | 583.519 | − | 336.895i | 1.34762 | − | 0.778048i | 0.359706 | − | 0.933066i | \(-0.382877\pi\) |
0.987912 | + | 0.155018i | \(0.0495435\pi\) | |||||||
\(434\) | 47.4487 | + | 47.4487i | 0.109329 | + | 0.109329i | ||||
\(435\) | 94.2911 | − | 351.899i | 0.216761 | − | 0.808964i | ||||
\(436\) | −125.825 | − | 33.7147i | −0.288589 | − | 0.0773273i | ||||
\(437\) | 259.825 | − | 259.825i | 0.594564 | − | 0.594564i | ||||
\(438\) | −104.700 | − | 181.346i | −0.239041 | − | 0.414031i | ||||
\(439\) | 497.218 | + | 287.069i | 1.13262 | + | 0.653916i | 0.944591 | − | 0.328248i | \(-0.106458\pi\) |
0.188024 | + | 0.982164i | \(0.439792\pi\) | |||||||
\(440\) | −54.9307 | − | 205.004i | −0.124843 | − | 0.465919i | ||||
\(441\) | 66.6370i | 0.151104i | ||||||||
\(442\) | −306.231 | − | 162.438i | −0.692830 | − | 0.367507i | ||||
\(443\) | −365.652 | −0.825399 | −0.412700 | − | 0.910867i | \(-0.635414\pi\) | ||||
−0.412700 | + | 0.910867i | \(0.635414\pi\) | |||||||
\(444\) | 175.945 | − | 47.1442i | 0.396272 | − | 0.106181i | ||||
\(445\) | −443.966 | + | 768.972i | −0.997677 | + | 1.72803i | ||||
\(446\) | 125.253 | − | 72.3147i | 0.280836 | − | 0.162141i | ||||
\(447\) | 22.1287 | + | 22.1287i | 0.0495048 | + | 0.0495048i | ||||
\(448\) | −10.7165 | + | 39.9946i | −0.0239208 | + | 0.0892736i | ||||
\(449\) | 792.445 | + | 212.335i | 1.76491 | + | 0.472906i | 0.987703 | − | 0.156339i | \(-0.0499692\pi\) |
0.777207 | + | 0.629245i | \(0.216636\pi\) | |||||||
\(450\) | 22.2417 | − | 22.2417i | 0.0494259 | − | 0.0494259i | ||||
\(451\) | 43.5302 | + | 75.3966i | 0.0965194 | + | 0.167177i | ||||
\(452\) | −271.055 | − | 156.493i | −0.599678 | − | 0.346224i | ||||
\(453\) | 60.4936 | + | 225.765i | 0.133540 | + | 0.498378i | ||||
\(454\) | 327.842i | 0.722119i | ||||||||
\(455\) | 260.975 | − | 280.416i | 0.573572 | − | 0.616300i | ||||
\(456\) | 148.698 | 0.326093 | ||||||||
\(457\) | 190.926 | − | 51.1586i | 0.417782 | − | 0.111944i | −0.0438033 | − | 0.999040i | \(-0.513947\pi\) |
0.461585 | + | 0.887096i | \(0.347281\pi\) | |||||||
\(458\) | 306.032 | − | 530.064i | 0.668193 | − | 1.15734i | ||||
\(459\) | 84.8477 | − | 48.9869i | 0.184853 | − | 0.106725i | ||||
\(460\) | −97.4710 | − | 97.4710i | −0.211894 | − | 0.211894i | ||||
\(461\) | −26.1981 | + | 97.7727i | −0.0568289 | + | 0.212088i | −0.988502 | − | 0.151210i | \(-0.951683\pi\) |
0.931673 | + | 0.363299i | \(0.118350\pi\) | |||||||
\(462\) | 161.397 | + | 43.2462i | 0.349344 | + | 0.0936065i | ||||
\(463\) | 177.994 | − | 177.994i | 0.384435 | − | 0.384435i | −0.488262 | − | 0.872697i | \(-0.662369\pi\) |
0.872697 | + | 0.488262i | \(0.162369\pi\) | |||||||
\(464\) | −73.8888 | − | 127.979i | −0.159243 | − | 0.275817i | ||||
\(465\) | −78.2912 | − | 45.2015i | −0.168368 | − | 0.0972075i | ||||
\(466\) | 57.4264 | + | 214.318i | 0.123233 | + | 0.459911i | ||||
\(467\) | − | 104.162i | − | 0.223044i | −0.993762 | − | 0.111522i | \(-0.964427\pi\) | ||
0.993762 | − | 0.111522i | \(-0.0355726\pi\) | |||||||
\(468\) | 17.4711 | − | 76.0182i | 0.0373315 | − | 0.162432i | ||||
\(469\) | −492.074 | −1.04920 | ||||||||
\(470\) | 677.583 | − | 181.558i | 1.44166 | − | 0.386293i | ||||
\(471\) | −168.976 | + | 292.674i | −0.358759 | + | 0.621389i | ||||
\(472\) | 61.1197 | − | 35.2875i | 0.129491 | − | 0.0747616i | ||||
\(473\) | −126.795 | − | 126.795i | −0.268066 | − | 0.268066i | ||||
\(474\) | −59.7745 | + | 223.082i | −0.126107 | + | 0.470636i | ||||
\(475\) | −217.365 | − | 58.2428i | −0.457611 | − | 0.122616i | ||||
\(476\) | 138.010 | − | 138.010i | 0.289937 | − | 0.289937i | ||||
\(477\) | −6.96614 | − | 12.0657i | −0.0146041 | − | 0.0252950i | ||||
\(478\) | 18.3132 | + | 10.5731i | 0.0383121 | + | 0.0221195i | ||||
\(479\) | 19.1135 | + | 71.3326i | 0.0399030 | + | 0.148920i | 0.983003 | − | 0.183589i | \(-0.0587715\pi\) |
−0.943100 | + | 0.332509i | \(0.892105\pi\) | |||||||
\(480\) | − | 55.7829i | − | 0.116214i | ||||||
\(481\) | −579.345 | + | 362.811i | −1.20446 | + | 0.754284i | ||||
\(482\) | −333.092 | −0.691062 | ||||||||
\(483\) | 104.825 | − | 28.0879i | 0.217030 | − | 0.0581530i | ||||
\(484\) | −52.7068 | + | 91.2909i | −0.108898 | + | 0.188618i | ||||
\(485\) | −748.170 | + | 431.956i | −1.54262 | + | 0.890631i | ||||
\(486\) | 15.5885 | + | 15.5885i | 0.0320750 | + | 0.0320750i | ||||
\(487\) | 169.904 | − | 634.092i | 0.348880 | − | 1.30204i | −0.539134 | − | 0.842220i | \(-0.681249\pi\) |
0.888014 | − | 0.459816i | \(-0.152085\pi\) | |||||||
\(488\) | −105.300 | − | 28.2151i | −0.215779 | − | 0.0578179i | ||||
\(489\) | −151.559 | + | 151.559i | −0.309937 | + | 0.309937i | ||||
\(490\) | −89.4220 | − | 154.884i | −0.182494 | − | 0.316089i | ||||
\(491\) | 391.206 | + | 225.863i | 0.796754 | + | 0.460006i | 0.842335 | − | 0.538955i | \(-0.181181\pi\) |
−0.0455811 | + | 0.998961i | \(0.514514\pi\) | |||||||
\(492\) | 5.92242 | + | 22.1028i | 0.0120374 | + | 0.0449244i | ||||
\(493\) | 696.588i | 1.41296i | ||||||||
\(494\) | −533.487 | + | 163.679i | −1.07993 | + | 0.331335i | ||||
\(495\) | −225.110 | −0.454768 | ||||||||
\(496\) | −35.4209 | + | 9.49101i | −0.0714132 | + | 0.0191351i | ||||
\(497\) | −105.092 | + | 182.025i | −0.211453 | + | 0.366247i | ||||
\(498\) | −190.467 | + | 109.966i | −0.382464 | + | 0.220816i | ||||
\(499\) | −126.721 | − | 126.721i | −0.253950 | − | 0.253950i | 0.568638 | − | 0.822588i | \(-0.307471\pi\) |
−0.822588 | + | 0.568638i | \(0.807471\pi\) | |||||||
\(500\) | 51.8277 | − | 193.424i | 0.103655 | − | 0.386847i | ||||
\(501\) | 207.840 | + | 55.6906i | 0.414851 | + | 0.111159i | ||||
\(502\) | 76.9248 | − | 76.9248i | 0.153237 | − | 0.153237i | ||||
\(503\) | 173.941 | + | 301.275i | 0.345808 | + | 0.598957i | 0.985500 | − | 0.169674i | \(-0.0542715\pi\) |
−0.639692 | + | 0.768631i | \(0.720938\pi\) | |||||||
\(504\) | 38.0333 | + | 21.9586i | 0.0754630 | + | 0.0435686i | ||||
\(505\) | 67.7430 | + | 252.821i | 0.134145 | + | 0.500635i | ||||
\(506\) | 225.641i | 0.445931i | ||||||||
\(507\) | 20.9954 | + | 291.963i | 0.0414111 | + | 0.575863i | ||||
\(508\) | 366.754 | 0.721957 | ||||||||
\(509\) | −173.706 | + | 46.5443i | −0.341269 | + | 0.0914426i | −0.425383 | − | 0.905013i | \(-0.639861\pi\) |
0.0841143 | + | 0.996456i | \(0.473194\pi\) | |||||||
\(510\) | −131.474 | + | 227.719i | −0.257792 | + | 0.446508i | ||||
\(511\) | −383.177 | + | 221.227i | −0.749857 | + | 0.432930i | ||||
\(512\) | −16.0000 | − | 16.0000i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 40.8205 | − | 152.344i | 0.0795722 | − | 0.296967i | ||||
\(514\) | 86.7719 | + | 23.2505i | 0.168817 | + | 0.0452344i | ||||
\(515\) | −373.633 | + | 373.633i | −0.725501 | + | 0.725501i | ||||
\(516\) | −23.5652 | − | 40.8161i | −0.0456689 | − | 0.0791009i | ||||
\(517\) | −994.436 | − | 574.138i | −1.92347 | − | 1.11052i | ||||
\(518\) | −99.6140 | − | 371.765i | −0.192305 | − | 0.717692i | ||||
\(519\) | − | 206.428i | − | 0.397741i | ||||||
\(520\) | 61.4029 | + | 200.133i | 0.118083 | + | 0.384871i | ||||
\(521\) | −107.588 | −0.206503 | −0.103251 | − | 0.994655i | \(-0.532925\pi\) | ||||
−0.103251 | + | 0.994655i | \(0.532925\pi\) | |||||||
\(522\) | −151.401 | + | 40.5677i | −0.290040 | + | 0.0777160i | ||||
\(523\) | 300.816 | − | 521.029i | 0.575175 | − | 0.996232i | −0.420848 | − | 0.907131i | \(-0.638267\pi\) |
0.996023 | − | 0.0891006i | \(-0.0283993\pi\) | |||||||
\(524\) | −263.265 | + | 151.996i | −0.502413 | + | 0.290068i | ||||
\(525\) | −46.9958 | − | 46.9958i | −0.0895158 | − | 0.0895158i | ||||
\(526\) | −82.4207 | + | 307.598i | −0.156693 | + | 0.584787i | ||||
\(527\) | 166.966 | + | 44.7384i | 0.316823 | + | 0.0848926i | ||||
\(528\) | −64.5675 | + | 64.5675i | −0.122287 | + | 0.122287i | ||||
\(529\) | −191.224 | − | 331.210i | −0.361483 | − | 0.626106i | ||||
\(530\) | 32.3826 | + | 18.6961i | 0.0610993 | + | 0.0352757i | ||||
\(531\) | −19.3742 | − | 72.3054i | −0.0364862 | − | 0.136168i | ||||
\(532\) | − | 314.194i | − | 0.590590i | ||||||
\(533\) | −45.5776 | − | 72.7794i | −0.0855114 | − | 0.136547i | ||||
\(534\) | 382.023 | 0.715400 | ||||||||
\(535\) | −413.771 | + | 110.870i | −0.773404 | + | 0.207233i | ||||
\(536\) | 134.455 | − | 232.883i | 0.250849 | − | 0.434484i | ||||
\(537\) | −321.766 | + | 185.772i | −0.599192 | + | 0.345944i | ||||
\(538\) | −22.1441 | − | 22.1441i | −0.0411600 | − | 0.0411600i | ||||
\(539\) | −75.7702 | + | 282.778i | −0.140576 | + | 0.524635i | ||||
\(540\) | −57.1507 | − | 15.3135i | −0.105835 | − | 0.0283583i | ||||
\(541\) | 212.291 | − | 212.291i | 0.392405 | − | 0.392405i | −0.483139 | − | 0.875544i | \(-0.660503\pi\) |
0.875544 | + | 0.483139i | \(0.160503\pi\) | |||||||
\(542\) | −105.317 | − | 182.414i | −0.194312 | − | 0.336558i | ||||
\(543\) | −515.581 | − | 297.671i | −0.949504 | − | 0.548196i | ||||
\(544\) | 27.6057 | + | 103.026i | 0.0507458 | + | 0.189386i | ||||
\(545\) | − | 370.816i | − | 0.680397i | ||||||
\(546\) | −160.624 | − | 36.9159i | −0.294182 | − | 0.0676115i | ||||
\(547\) | −709.928 | −1.29786 | −0.648929 | − | 0.760849i | \(-0.724783\pi\) | ||||
−0.648929 | + | 0.760849i | \(0.724783\pi\) | |||||||
\(548\) | 464.556 | − | 124.477i | 0.847729 | − | 0.227148i | ||||
\(549\) | −57.8139 | + | 100.137i | −0.105308 | + | 0.182398i | ||||
\(550\) | 119.674 | − | 69.0938i | 0.217589 | − | 0.125625i | ||||
\(551\) | 792.928 | + | 792.928i | 1.43907 | + | 1.43907i | ||||
\(552\) | −15.3496 | + | 57.2855i | −0.0278072 | + | 0.103778i | ||||
\(553\) | 471.363 | + | 126.301i | 0.852375 | + | 0.228393i | ||||
\(554\) | 202.590 | − | 202.590i | 0.365687 | − | 0.365687i | ||||
\(555\) | 259.261 | + | 449.054i | 0.467138 | + | 0.809106i | ||||
\(556\) | 321.231 | + | 185.463i | 0.577753 | + | 0.333566i | ||||
\(557\) | 184.812 | + | 689.728i | 0.331799 | + | 1.23829i | 0.907298 | + | 0.420488i | \(0.138141\pi\) |
−0.575499 | + | 0.817802i | \(0.695192\pi\) | |||||||
\(558\) | 38.8949i | 0.0697041i | ||||||||
\(559\) | 129.473 | + | 120.497i | 0.231616 | + | 0.215558i | ||||
\(560\) | −117.867 | −0.210477 | ||||||||
\(561\) | 415.758 | − | 111.402i | 0.741102 | − | 0.198578i | ||||
\(562\) | 44.0655 | − | 76.3237i | 0.0784083 | − | 0.135807i | ||||
\(563\) | −159.912 | + | 92.3251i | −0.284035 | + | 0.163988i | −0.635249 | − | 0.772308i | \(-0.719102\pi\) |
0.351214 | + | 0.936295i | \(0.385769\pi\) | |||||||
\(564\) | −213.409 | − | 213.409i | −0.378385 | − | 0.378385i | ||||
\(565\) | 230.599 | − | 860.608i | 0.408140 | − | 1.52320i | ||||
\(566\) | −192.449 | − | 51.5665i | −0.340016 | − | 0.0911069i | ||||
\(567\) | 32.9378 | − | 32.9378i | 0.0580914 | − | 0.0580914i | ||||
\(568\) | −57.4311 | − | 99.4735i | −0.101111 | − | 0.175129i | ||||
\(569\) | −808.949 | − | 467.047i | −1.42170 | − | 0.820820i | −0.425258 | − | 0.905072i | \(-0.639817\pi\) |
−0.996445 | + | 0.0842516i | \(0.973150\pi\) | |||||||
\(570\) | 109.556 | + | 408.870i | 0.192204 | + | 0.717316i | ||||
\(571\) | 235.631i | 0.412664i | 0.978482 | + | 0.206332i | \(0.0661527\pi\) | ||||
−0.978482 | + | 0.206332i | \(0.933847\pi\) | |||||||
\(572\) | 160.577 | − | 302.722i | 0.280729 | − | 0.529235i | ||||
\(573\) | −432.524 | −0.754842 | ||||||||
\(574\) | 46.7024 | − | 12.5139i | 0.0813630 | − | 0.0218012i | ||||
\(575\) | 44.8757 | − | 77.7269i | 0.0780446 | − | 0.135177i | ||||
\(576\) | −20.7846 | + | 12.0000i | −0.0360844 | + | 0.0208333i | ||||
\(577\) | −213.174 | − | 213.174i | −0.369452 | − | 0.369452i | 0.497826 | − | 0.867277i | \(-0.334132\pi\) |
−0.867277 | + | 0.497826i | \(0.834132\pi\) | |||||||
\(578\) | 24.3455 | − | 90.8586i | 0.0421202 | − | 0.157195i | ||||
\(579\) | 226.712 | + | 60.7474i | 0.391559 | + | 0.104918i | ||||
\(580\) | 297.460 | − | 297.460i | 0.512862 | − | 0.512862i | ||||
\(581\) | 232.355 | + | 402.450i | 0.399922 | + | 0.692685i | ||||
\(582\) | 321.892 | + | 185.844i | 0.553079 | + | 0.319320i | ||||
\(583\) | −15.8418 | − | 59.1226i | −0.0271730 | − | 0.101411i | ||||
\(584\) | − | 241.794i | − | 0.414031i | ||||||
\(585\) | 221.896 | − | 7.96815i | 0.379310 | − | 0.0136208i | ||||
\(586\) | −242.001 | −0.412970 | ||||||||
\(587\) | −484.121 | + | 129.720i | −0.824737 | + | 0.220988i | −0.646416 | − | 0.762985i | \(-0.723733\pi\) |
−0.178321 | + | 0.983972i | \(0.557066\pi\) | |||||||
\(588\) | −38.4729 | + | 66.6370i | −0.0654301 | + | 0.113328i | ||||
\(589\) | 240.984 | − | 139.132i | 0.409140 | − | 0.236217i | ||||
\(590\) | 142.060 | + | 142.060i | 0.240779 | + | 0.240779i | ||||
\(591\) | −1.57633 | + | 5.88295i | −0.00266723 | + | 0.00995423i | ||||
\(592\) | 203.163 | + | 54.4375i | 0.343181 | + | 0.0919552i | ||||
\(593\) | −456.457 | + | 456.457i | −0.769743 | + | 0.769743i | −0.978061 | − | 0.208319i | \(-0.933201\pi\) |
0.208319 | + | 0.978061i | \(0.433201\pi\) | |||||||
\(594\) | 48.4256 | + | 83.8757i | 0.0815246 | + | 0.141205i | ||||
\(595\) | 481.162 | + | 277.799i | 0.808676 | + | 0.466889i | ||||
\(596\) | 9.35267 | + | 34.9046i | 0.0156924 | + | 0.0585648i | ||||
\(597\) | 459.331i | 0.769399i | ||||||||
\(598\) | −7.98694 | − | 222.420i | −0.0133561 | − | 0.371940i | ||||
\(599\) | 409.720 | 0.684007 | 0.342003 | − | 0.939699i | \(-0.388895\pi\) | ||||
0.342003 | + | 0.939699i | \(0.388895\pi\) | |||||||
\(600\) | 35.0829 | − | 9.40043i | 0.0584715 | − | 0.0156674i | ||||
\(601\) | 354.315 | − | 613.692i | 0.589543 | − | 1.02112i | −0.404750 | − | 0.914428i | \(-0.632641\pi\) |
0.994292 | − | 0.106690i | \(-0.0340253\pi\) | |||||||
\(602\) | −86.2428 | + | 49.7923i | −0.143261 | + | 0.0827115i | ||||
\(603\) | −201.683 | − | 201.683i | −0.334466 | − | 0.334466i | ||||
\(604\) | −69.8520 | + | 260.691i | −0.115649 | + | 0.431608i | ||||
\(605\) | −289.852 | − | 77.6656i | −0.479094 | − | 0.128373i | ||||
\(606\) | 79.6276 | − | 79.6276i | 0.131399 | − | 0.131399i | ||||
\(607\) | −233.682 | − | 404.749i | −0.384978 | − | 0.666802i | 0.606788 | − | 0.794864i | \(-0.292458\pi\) |
−0.991766 | + | 0.128062i | \(0.959124\pi\) | |||||||
\(608\) | 148.698 | + | 85.8510i | 0.244570 | + | 0.141202i | ||||
\(609\) | 85.7181 | + | 319.904i | 0.140752 | + | 0.525295i | ||||
\(610\) | − | 310.328i | − | 0.508735i | ||||||
\(611\) | 1000.56 | + | 530.742i | 1.63758 | + | 0.868644i | ||||
\(612\) | 113.130 | 0.184853 | ||||||||
\(613\) | 962.345 | − | 257.859i | 1.56989 | − | 0.420652i | 0.634114 | − | 0.773239i | \(-0.281365\pi\) |
0.935779 | + | 0.352588i | \(0.114698\pi\) | |||||||
\(614\) | −252.758 | + | 437.790i | −0.411659 | + | 0.713013i | ||||
\(615\) | −56.4117 | + | 32.5693i | −0.0917264 | + | 0.0529583i | ||||
\(616\) | 136.429 | + | 136.429i | 0.221475 | + | 0.221475i | ||||
\(617\) | 80.8743 | − | 301.827i | 0.131077 | − | 0.489184i | −0.868907 | − | 0.494976i | \(-0.835177\pi\) |
0.999983 | + | 0.00579153i | \(0.00184351\pi\) | |||||||
\(618\) | 219.591 | + | 58.8391i | 0.355325 | + | 0.0952090i | ||||
\(619\) | −459.215 | + | 459.215i | −0.741865 | + | 0.741865i | −0.972937 | − | 0.231071i | \(-0.925777\pi\) |
0.231071 | + | 0.972937i | \(0.425777\pi\) | |||||||
\(620\) | −52.1942 | − | 90.4029i | −0.0841841 | − | 0.145811i | ||||
\(621\) | 54.4763 | + | 31.4519i | 0.0877235 | + | 0.0506472i | ||||
\(622\) | −76.7709 | − | 286.513i | −0.123426 | − | 0.460632i | ||||
\(623\) | − | 807.201i | − | 1.29567i | ||||||
\(624\) | 61.3602 | − | 65.9312i | 0.0983337 | − | 0.105659i | ||||
\(625\) | 755.381 | 1.20861 | ||||||||
\(626\) | 527.481 | − | 141.338i | 0.842622 | − | 0.225780i | ||||
\(627\) | 346.449 | − | 600.067i | 0.552550 | − | 0.957045i | ||||
\(628\) | −337.951 | + | 195.116i | −0.538139 | + | 0.310695i | ||||
\(629\) | −701.059 | − | 701.059i | −1.11456 | − | 1.11456i | ||||
\(630\) | −32.3568 | + | 120.757i | −0.0513600 | + | 0.191678i | ||||
\(631\) | 258.950 | + | 69.3855i | 0.410381 | + | 0.109961i | 0.458102 | − | 0.888899i | \(-0.348529\pi\) |
−0.0477214 | + | 0.998861i | \(0.515196\pi\) | |||||||
\(632\) | −188.571 | + | 188.571i | −0.298371 | + | 0.298371i | ||||
\(633\) | −11.9003 | − | 20.6120i | −0.0187999 | − | 0.0325624i | ||||
\(634\) | −198.769 | − | 114.759i | −0.313515 | − | 0.181008i | ||||
\(635\) | 270.213 | + | 1008.45i | 0.425533 | + | 1.58811i | ||||
\(636\) | − | 16.0876i | − | 0.0252950i | ||||||
\(637\) | 64.6791 | − | 281.423i | 0.101537 | − | 0.441795i | ||||
\(638\) | −688.608 | −1.07932 | ||||||||
\(639\) | −117.678 | + | 31.5318i | −0.184160 | + | 0.0493456i | ||||
\(640\) | 32.2063 | − | 55.7829i | 0.0503223 | − | 0.0871608i | ||||
\(641\) | −149.378 | + | 86.2432i | −0.233038 | + | 0.134545i | −0.611973 | − | 0.790879i | \(-0.709624\pi\) |
0.378935 | + | 0.925423i | \(0.376291\pi\) | |||||||
\(642\) | 130.320 | + | 130.320i | 0.202991 | + | 0.202991i | ||||
\(643\) | 246.195 | − | 918.812i | 0.382885 | − | 1.42894i | −0.458590 | − | 0.888648i | \(-0.651645\pi\) |
0.841475 | − | 0.540297i | \(-0.181688\pi\) | |||||||
\(644\) | 121.042 | + | 32.4331i | 0.187954 | + | 0.0503620i | ||||
\(645\) | 94.8683 | − | 94.8683i | 0.147083 | − | 0.147083i | ||||
\(646\) | −404.681 | − | 700.929i | −0.626442 | − | 1.08503i | ||||
\(647\) | 640.175 | + | 369.605i | 0.989452 | + | 0.571260i | 0.905110 | − | 0.425177i | \(-0.139788\pi\) |
0.0843415 | + | 0.996437i | \(0.473121\pi\) | |||||||
\(648\) | 6.58846 | + | 24.5885i | 0.0101674 | + | 0.0379452i | ||||
\(649\) | − | 328.862i | − | 0.506721i | ||||||
\(650\) | −115.520 | + | 72.3435i | −0.177723 | + | 0.111298i | ||||
\(651\) | 82.1835 | 0.126242 | ||||||||
\(652\) | −239.062 | + | 64.0564i | −0.366659 | + | 0.0982461i | ||||
\(653\) | 561.339 | − | 972.268i | 0.859632 | − | 1.48893i | −0.0126491 | − | 0.999920i | \(-0.504026\pi\) |
0.872281 | − | 0.489006i | \(-0.162640\pi\) | |||||||
\(654\) | −138.165 | + | 79.7698i | −0.211262 | + | 0.121972i | ||||
\(655\) | −611.903 | − | 611.903i | −0.934202 | − | 0.934202i | ||||
\(656\) | −6.83863 | + | 25.5221i | −0.0104247 | + | 0.0389056i | ||||
\(657\) | −247.723 | − | 66.3771i | −0.377052 | − | 0.101031i | ||||
\(658\) | −450.926 | + | 450.926i | −0.685298 | + | 0.685298i | ||||
\(659\) | −174.510 | − | 302.259i | −0.264810 | − | 0.458664i | 0.702704 | − | 0.711482i | \(-0.251976\pi\) |
−0.967514 | + | 0.252819i | \(0.918642\pi\) | |||||||
\(660\) | −225.110 | − | 129.967i | −0.341076 | − | 0.196920i | ||||
\(661\) | 207.511 | + | 774.442i | 0.313935 | + | 1.17162i | 0.924977 | + | 0.380023i | \(0.124084\pi\) |
−0.611042 | + | 0.791598i | \(0.709249\pi\) | |||||||
\(662\) | 516.292i | 0.779898i | ||||||||
\(663\) | −405.879 | + | 124.528i | −0.612186 | + | 0.187825i | ||||
\(664\) | −253.956 | −0.382464 | ||||||||
\(665\) | 863.927 | − | 231.489i | 1.29914 | − | 0.348103i | ||||
\(666\) | 111.544 | − | 193.201i | 0.167484 | − | 0.290091i | ||||
\(667\) | −387.324 | + | 223.621i | −0.580695 | + | 0.335264i | ||||
\(668\) | 175.687 | + | 175.687i | 0.263005 | + | 0.263005i | ||||
\(669\) | 45.8457 | − | 171.098i | 0.0685287 | − | 0.255752i | ||||
\(670\) | 739.413 | + | 198.125i | 1.10360 | + | 0.295709i | ||||
\(671\) | −359.198 | + | 359.198i | −0.535318 | + | 0.535318i | ||||
\(672\) | 25.3556 | + | 43.9171i | 0.0377315 | + | 0.0653528i | ||||
\(673\) | 90.8433 | + | 52.4484i | 0.134983 | + | 0.0779323i | 0.565971 | − | 0.824425i | \(-0.308502\pi\) |
−0.430988 | + | 0.902358i | \(0.641835\pi\) | |||||||
\(674\) | 141.050 | + | 526.405i | 0.209273 | + | 0.781017i | ||||
\(675\) | − | 38.5237i | − | 0.0570721i | ||||||
\(676\) | −147.569 | + | 304.084i | −0.218298 | + | 0.449829i | ||||
\(677\) | −71.7517 | −0.105985 | −0.0529924 | − | 0.998595i | \(-0.516876\pi\) | ||||
−0.0529924 | + | 0.998595i | \(0.516876\pi\) | |||||||
\(678\) | −370.267 | + | 99.2128i | −0.546117 | + | 0.146332i | ||||
\(679\) | 392.682 | − | 680.146i | 0.578325 | − | 1.00169i | ||||
\(680\) | −262.947 | + | 151.813i | −0.386687 | + | 0.223254i | ||||
\(681\) | 283.920 | + | 283.920i | 0.416916 | + | 0.416916i | ||||
\(682\) | −44.2258 | + | 165.053i | −0.0648473 | + | 0.242013i | ||||
\(683\) | −719.362 | − | 192.753i | −1.05324 | − | 0.282215i | −0.309649 | − | 0.950851i | \(-0.600212\pi\) |
−0.743590 | + | 0.668636i | \(0.766878\pi\) | |||||||
\(684\) | 128.776 | − | 128.776i | 0.188270 | − | 0.188270i | ||||
\(685\) | 684.541 | + | 1185.66i | 0.999330 | + | 1.73089i | ||||
\(686\) | 451.407 | + | 260.620i | 0.658028 | + | 0.379912i | ||||
\(687\) | −194.017 | − | 724.081i | −0.282412 | − | 1.05397i | ||||
\(688\) | − | 54.4214i | − | 0.0791009i | ||||||
\(689\) | 17.7084 | + | 57.7178i | 0.0257016 | + | 0.0837703i | ||||
\(690\) | −168.825 | −0.244674 | ||||||||
\(691\) | −550.709 | + | 147.562i | −0.796973 | + | 0.213548i | −0.634255 | − | 0.773124i | \(-0.718693\pi\) |
−0.162719 | + | 0.986673i | \(0.552026\pi\) | |||||||
\(692\) | 119.181 | − | 206.428i | 0.172227 | − | 0.298306i | ||||
\(693\) | 177.226 | − | 102.322i | 0.255738 | − | 0.147650i | ||||
\(694\) | 23.8673 | + | 23.8673i | 0.0343909 | + | 0.0343909i | ||||
\(695\) | −273.286 | + | 1019.92i | −0.393218 | + | 1.46751i | ||||
\(696\) | −174.823 | − | 46.8436i | −0.251182 | − | 0.0673040i | ||||
\(697\) | 88.0695 | − | 88.0695i | 0.126355 | − | 0.126355i | ||||
\(698\) | −220.406 | − | 381.755i | −0.315768 | − | 0.546926i | ||||
\(699\) | 235.338 | + | 135.872i | 0.336678 | + | 0.194381i | ||||
\(700\) | −19.8628 | − | 74.1288i | −0.0283754 | − | 0.105898i | ||||
\(701\) | 234.275i | 0.334201i | 0.985940 | + | 0.167101i | \(0.0534405\pi\) | ||||
−0.985940 | + | 0.167101i | \(0.946559\pi\) | |||||||
\(702\) | −50.7032 | − | 80.9641i | −0.0722268 | − | 0.115333i | ||||
\(703\) | −1596.03 | −2.27032 | ||||||||
\(704\) | −101.846 | + | 27.2894i | −0.144667 | + | 0.0387634i | ||||
\(705\) | 429.570 | − | 744.037i | 0.609319 | − | 1.05537i | ||||
\(706\) | −693.396 | + | 400.332i | −0.982147 | + | 0.567043i | ||||
\(707\) | −168.250 | − | 168.250i | −0.237978 | − | 0.237978i | ||||
\(708\) | 22.3714 | − | 83.4910i | 0.0315980 | − | 0.117925i | ||||
\(709\) | 23.0348 | + | 6.17216i | 0.0324891 | + | 0.00870544i | 0.275027 | − | 0.961436i | \(-0.411313\pi\) |
−0.242538 | + | 0.970142i | \(0.577980\pi\) | |||||||
\(710\) | 231.205 | − | 231.205i | 0.325641 | − | 0.325641i | ||||
\(711\) | 141.428 | + | 244.961i | 0.198914 | + | 0.344530i | ||||
\(712\) | 382.023 | + | 220.561i | 0.536550 | + | 0.309777i | ||||
\(713\) | 28.7242 | + | 107.200i | 0.0402864 | + | 0.150351i | ||||
\(714\) | − | 239.040i | − | 0.334790i | ||||||
\(715\) | 950.692 | + | 218.496i | 1.32964 | + | 0.305589i | ||||
\(716\) | −429.022 | −0.599192 | ||||||||
\(717\) | 25.0163 | − | 6.70309i | 0.0348902 | − | 0.00934880i | ||||
\(718\) | −30.3760 | + | 52.6128i | −0.0423064 | + | 0.0732769i | ||||
\(719\) | 654.278 | − | 377.747i | 0.909983 | − | 0.525379i | 0.0295573 | − | 0.999563i | \(-0.490590\pi\) |
0.880426 | + | 0.474184i | \(0.157257\pi\) | |||||||
\(720\) | −48.3094 | − | 48.3094i | −0.0670964 | − | 0.0670964i | ||||
\(721\) | 124.325 | − | 463.987i | 0.172434 | − | 0.643532i | ||||
\(722\) | −765.383 | − | 205.084i | −1.06009 | − | 0.284050i | ||||
\(723\) | −288.466 | + | 288.466i | −0.398985 | + | 0.398985i | ||||
\(724\) | −343.720 | − | 595.341i | −0.474752 | − | 0.822295i | ||||
\(725\) | 237.205 | + | 136.951i | 0.327180 | + | 0.188897i | ||||
\(726\) | 33.4148 | + | 124.706i | 0.0460259 | + | 0.171771i | ||||
\(727\) | 686.041i | 0.943660i | 0.881689 | + | 0.471830i | \(0.156406\pi\) | ||||
−0.881689 | + | 0.471830i | \(0.843594\pi\) | |||||||
\(728\) | −139.310 | − | 129.652i | −0.191360 | − | 0.178093i | ||||
\(729\) | 27.0000 | 0.0370370 | ||||||||
\(730\) | 664.853 | − | 178.147i | 0.910757 | − | 0.244037i | ||||
\(731\) | −128.265 | + | 222.161i | −0.175465 | + | 0.303914i | ||||
\(732\) | −115.628 | + | 66.7577i | −0.157961 | + | 0.0911990i | ||||
\(733\) | −173.245 | − | 173.245i | −0.236351 | − | 0.236351i | 0.578986 | − | 0.815337i | \(-0.303448\pi\) |
−0.815337 | + | 0.578986i | \(0.803448\pi\) | |||||||
\(734\) | 165.814 | − | 618.826i | 0.225904 | − | 0.843087i | ||||
\(735\) | −211.575 | − | 56.6913i | −0.287857 | − | 0.0771310i | ||||
\(736\) | −48.4234 | + | 48.4234i | −0.0657926 | + | 0.0657926i | ||||
\(737\) | −626.529 | − | 1085.18i | −0.850107 | − | 1.47243i | ||||
\(738\) | 24.2705 | + | 14.0126i | 0.0328869 | + | 0.0189873i | ||||
\(739\) | −25.6776 | − | 95.8300i | −0.0347464 | − | 0.129675i | 0.946374 | − | 0.323073i | \(-0.104716\pi\) |
−0.981120 | + | 0.193398i | \(0.938049\pi\) | |||||||
\(740\) | 598.739i | 0.809106i | ||||||||
\(741\) | −320.263 | + | 603.764i | −0.432203 | + | 0.814796i | ||||
\(742\) | −33.9925 | −0.0458120 | ||||||||
\(743\) | 1205.46 | − | 323.002i | 1.62242 | − | 0.434726i | 0.670710 | − | 0.741720i | \(-0.265990\pi\) |
0.951712 | + | 0.306994i | \(0.0993230\pi\) | |||||||
\(744\) | −22.4560 | + | 38.8949i | −0.0301828 | + | 0.0522781i | ||||
\(745\) | −89.0852 | + | 51.4334i | −0.119577 | + | 0.0690381i | ||||
\(746\) | 407.309 | + | 407.309i | 0.545991 | + | 0.545991i | ||||
\(747\) | −69.7158 | + | 260.183i | −0.0933277 | + | 0.348304i | ||||
\(748\) | 480.076 | + | 128.636i | 0.641813 | + | 0.171973i | ||||
\(749\) | 275.361 | − | 275.361i | 0.367639 | − | 0.367639i | ||||
\(750\) | −122.626 | − | 212.394i | −0.163501 | − | 0.283192i | ||||
\(751\) | 181.326 | + | 104.689i | 0.241446 | + | 0.139399i | 0.615841 | − | 0.787870i | \(-0.288816\pi\) |
−0.374395 | + | 0.927269i | \(0.622150\pi\) | |||||||
\(752\) | −90.1974 | − | 336.621i | −0.119943 | − | 0.447635i | ||||
\(753\) | − | 133.238i | − | 0.176942i | ||||||
\(754\) | 678.777 | − | 24.3744i | 0.900234 | − | 0.0323268i | ||||
\(755\) | −768.277 | −1.01759 | ||||||||
\(756\) | 51.9545 | − | 13.9212i | 0.0687229 | − | 0.0184142i | ||||
\(757\) | −641.569 | + | 1111.23i | −0.847515 | + | 1.46794i | 0.0359036 | + | 0.999355i | \(0.488569\pi\) |
−0.883419 | + | 0.468584i | \(0.844764\pi\) | |||||||
\(758\) | −12.9222 | + | 7.46065i | −0.0170478 | + | 0.00984254i | ||||
\(759\) | 195.411 | + | 195.411i | 0.257459 | + | 0.257459i | ||||
\(760\) | −126.505 | + | 472.122i | −0.166454 | + | 0.621214i | ||||
\(761\) | −449.407 | − | 120.418i | −0.590548 | − | 0.158237i | −0.0488443 | − | 0.998806i | \(-0.515554\pi\) |
−0.541704 | + | 0.840570i | \(0.682220\pi\) | |||||||
\(762\) | 317.619 | − | 317.619i | 0.416822 | − | 0.416822i | ||||
\(763\) | 168.551 | + | 291.938i | 0.220905 | + | 0.382619i | ||||
\(764\) | −432.524 | − | 249.718i | −0.566131 | − | 0.326856i | ||||
\(765\) | 83 |