Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(49,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.j (of order \(6\), degree \(2\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 49.19 | ||
Character | \(\chi\) | \(=\) | 430.49 |
Dual form | 430.2.j.a.79.8 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | 0.409934 | + | 0.236675i | 0.236675 | + | 0.136645i | 0.613648 | − | 0.789580i | \(-0.289702\pi\) |
−0.376972 | + | 0.926224i | \(0.623035\pi\) | |||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.252079 | + | 2.22181i | −0.112733 | + | 0.993625i | ||||
\(6\) | −0.236675 | + | 0.409934i | −0.0966223 | + | 0.167355i | ||||
\(7\) | −2.61255 | + | 1.50836i | −0.987452 | + | 0.570106i | −0.904512 | − | 0.426449i | \(-0.859764\pi\) |
−0.0829402 | + | 0.996555i | \(0.526431\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −1.38797 | − | 2.40403i | −0.462657 | − | 0.801345i | ||||
\(10\) | −2.22181 | − | 0.252079i | −0.702599 | − | 0.0797143i | ||||
\(11\) | −5.53616 | −1.66921 | −0.834607 | − | 0.550846i | \(-0.814305\pi\) | ||||
−0.834607 | + | 0.550846i | \(0.814305\pi\) | |||||||
\(12\) | −0.409934 | − | 0.236675i | −0.118338 | − | 0.0683223i | ||||
\(13\) | 0.974182 | − | 0.562444i | 0.270189 | − | 0.155994i | −0.358784 | − | 0.933420i | \(-0.616809\pi\) |
0.628974 | + | 0.777427i | \(0.283475\pi\) | |||||||
\(14\) | −1.50836 | − | 2.61255i | −0.403126 | − | 0.698234i | ||||
\(15\) | −0.629184 | + | 0.851135i | −0.162455 | + | 0.219762i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 1.03054 | − | 0.594984i | 0.249943 | − | 0.144305i | −0.369795 | − | 0.929113i | \(-0.620572\pi\) |
0.619738 | + | 0.784809i | \(0.287239\pi\) | |||||||
\(18\) | 2.40403 | − | 1.38797i | 0.566636 | − | 0.327148i | ||||
\(19\) | −1.39866 | + | 2.42256i | −0.320875 | + | 0.555772i | −0.980669 | − | 0.195674i | \(-0.937310\pi\) |
0.659794 | + | 0.751447i | \(0.270644\pi\) | |||||||
\(20\) | 0.252079 | − | 2.22181i | 0.0563665 | − | 0.496813i | ||||
\(21\) | −1.42796 | −0.311607 | ||||||||
\(22\) | − | 5.53616i | − | 1.18031i | ||||||
\(23\) | 7.18610 | + | 4.14890i | 1.49841 | + | 0.865105i | 0.999998 | − | 0.00183758i | \(-0.000584921\pi\) |
0.498408 | + | 0.866943i | \(0.333918\pi\) | |||||||
\(24\) | 0.236675 | − | 0.409934i | 0.0483111 | − | 0.0836773i | ||||
\(25\) | −4.87291 | − | 1.12014i | −0.974583 | − | 0.224029i | ||||
\(26\) | 0.562444 | + | 0.974182i | 0.110304 | + | 0.191053i | ||||
\(27\) | − | 2.73404i | − | 0.526167i | ||||||
\(28\) | 2.61255 | − | 1.50836i | 0.493726 | − | 0.285053i | ||||
\(29\) | −1.23345 | − | 2.13640i | −0.229046 | − | 0.396719i | 0.728480 | − | 0.685067i | \(-0.240227\pi\) |
−0.957526 | + | 0.288348i | \(0.906894\pi\) | |||||||
\(30\) | −0.851135 | − | 0.629184i | −0.155395 | − | 0.114873i | ||||
\(31\) | −4.27089 | + | 7.39740i | −0.767074 | + | 1.32861i | 0.172069 | + | 0.985085i | \(0.444955\pi\) |
−0.939143 | + | 0.343527i | \(0.888378\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | −2.26946 | − | 1.31027i | −0.395062 | − | 0.228089i | ||||
\(34\) | 0.594984 | + | 1.03054i | 0.102039 | + | 0.176736i | ||||
\(35\) | −2.69272 | − | 6.18483i | −0.455153 | − | 1.04543i | ||||
\(36\) | 1.38797 | + | 2.40403i | 0.231328 | + | 0.400672i | ||||
\(37\) | 1.43025 | + | 0.825754i | 0.235131 | + | 0.135753i | 0.612937 | − | 0.790132i | \(-0.289988\pi\) |
−0.377806 | + | 0.925885i | \(0.623321\pi\) | |||||||
\(38\) | −2.42256 | − | 1.39866i | −0.392990 | − | 0.226893i | ||||
\(39\) | 0.532466 | 0.0852628 | ||||||||
\(40\) | 2.22181 | + | 0.252079i | 0.351300 | + | 0.0398572i | ||||
\(41\) | −3.16447 | −0.494208 | −0.247104 | − | 0.968989i | \(-0.579479\pi\) | ||||
−0.247104 | + | 0.968989i | \(0.579479\pi\) | |||||||
\(42\) | − | 1.42796i | − | 0.220340i | ||||||
\(43\) | −6.46210 | + | 1.11413i | −0.985461 | + | 0.169903i | ||||
\(44\) | 5.53616 | 0.834607 | ||||||||
\(45\) | 5.69119 | − | 2.47780i | 0.848393 | − | 0.369369i | ||||
\(46\) | −4.14890 | + | 7.18610i | −0.611722 | + | 1.05953i | ||||
\(47\) | 10.1414i | 1.47928i | 0.673002 | + | 0.739641i | \(0.265005\pi\) | ||||
−0.673002 | + | 0.739641i | \(0.734995\pi\) | |||||||
\(48\) | 0.409934 | + | 0.236675i | 0.0591688 | + | 0.0341611i | ||||
\(49\) | 1.05029 | − | 1.81915i | 0.150041 | − | 0.259878i | ||||
\(50\) | 1.12014 | − | 4.87291i | 0.158412 | − | 0.689134i | ||||
\(51\) | 0.563272 | 0.0788738 | ||||||||
\(52\) | −0.974182 | + | 0.562444i | −0.135095 | + | 0.0779969i | ||||
\(53\) | −3.64429 | − | 2.10403i | −0.500581 | − | 0.289011i | 0.228372 | − | 0.973574i | \(-0.426660\pi\) |
−0.728954 | + | 0.684563i | \(0.759993\pi\) | |||||||
\(54\) | 2.73404 | 0.372056 | ||||||||
\(55\) | 1.39555 | − | 12.3003i | 0.188176 | − | 1.65857i | ||||
\(56\) | 1.50836 | + | 2.61255i | 0.201563 | + | 0.349117i | ||||
\(57\) | −1.14672 | + | 0.662058i | −0.151887 | + | 0.0876917i | ||||
\(58\) | 2.13640 | − | 1.23345i | 0.280523 | − | 0.161960i | ||||
\(59\) | 12.8615 | 1.67443 | 0.837215 | − | 0.546874i | \(-0.184182\pi\) | ||||
0.837215 | + | 0.546874i | \(0.184182\pi\) | |||||||
\(60\) | 0.629184 | − | 0.851135i | 0.0812273 | − | 0.109881i | ||||
\(61\) | 2.32273 | + | 4.02309i | 0.297395 | + | 0.515104i | 0.975539 | − | 0.219825i | \(-0.0705488\pi\) |
−0.678144 | + | 0.734929i | \(0.737215\pi\) | |||||||
\(62\) | −7.39740 | − | 4.27089i | −0.939470 | − | 0.542403i | ||||
\(63\) | 7.25229 | + | 4.18711i | 0.913702 | + | 0.527526i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 1.00408 | + | 2.30623i | 0.124540 | + | 0.286053i | ||||
\(66\) | 1.31027 | − | 2.26946i | 0.161283 | − | 0.279351i | ||||
\(67\) | 4.23209 | + | 2.44340i | 0.517033 | + | 0.298509i | 0.735720 | − | 0.677286i | \(-0.236844\pi\) |
−0.218687 | + | 0.975795i | \(0.570177\pi\) | |||||||
\(68\) | −1.03054 | + | 0.594984i | −0.124972 | + | 0.0721524i | ||||
\(69\) | 1.96388 | + | 3.40155i | 0.236424 | + | 0.409498i | ||||
\(70\) | 6.18483 | − | 2.69272i | 0.739228 | − | 0.321842i | ||||
\(71\) | −1.30081 | − | 2.25307i | −0.154378 | − | 0.267390i | 0.778455 | − | 0.627701i | \(-0.216004\pi\) |
−0.932832 | + | 0.360311i | \(0.882671\pi\) | |||||||
\(72\) | −2.40403 | + | 1.38797i | −0.283318 | + | 0.163574i | ||||
\(73\) | −9.10583 | + | 5.25725i | −1.06576 | + | 0.615315i | −0.927019 | − | 0.375014i | \(-0.877638\pi\) |
−0.138738 | + | 0.990329i | \(0.544305\pi\) | |||||||
\(74\) | −0.825754 | + | 1.43025i | −0.0959920 | + | 0.166263i | ||||
\(75\) | −1.73246 | − | 1.61248i | −0.200047 | − | 0.186193i | ||||
\(76\) | 1.39866 | − | 2.42256i | 0.160438 | − | 0.277886i | ||||
\(77\) | 14.4635 | − | 8.35051i | 1.64827 | − | 0.951628i | ||||
\(78\) | 0.532466i | 0.0602899i | ||||||||
\(79\) | −8.19803 | − | 14.1994i | −0.922350 | − | 1.59756i | −0.795768 | − | 0.605601i | \(-0.792933\pi\) |
−0.126582 | − | 0.991956i | \(-0.540401\pi\) | |||||||
\(80\) | −0.252079 | + | 2.22181i | −0.0281833 | + | 0.248406i | ||||
\(81\) | −3.51683 | + | 6.09133i | −0.390759 | + | 0.676814i | ||||
\(82\) | − | 3.16447i | − | 0.349458i | ||||||
\(83\) | 12.3132 | + | 7.10904i | 1.35155 | + | 0.780318i | 0.988467 | − | 0.151438i | \(-0.0483904\pi\) |
0.363084 | + | 0.931756i | \(0.381724\pi\) | |||||||
\(84\) | 1.42796 | 0.155804 | ||||||||
\(85\) | 1.06216 | + | 2.43965i | 0.115208 | + | 0.264618i | ||||
\(86\) | −1.11413 | − | 6.46210i | −0.120139 | − | 0.696826i | ||||
\(87\) | − | 1.16771i | − | 0.125191i | ||||||
\(88\) | 5.53616i | 0.590156i | ||||||||
\(89\) | 2.95893 | − | 5.12502i | 0.313646 | − | 0.543251i | −0.665503 | − | 0.746395i | \(-0.731783\pi\) |
0.979149 | + | 0.203145i | \(0.0651162\pi\) | |||||||
\(90\) | 2.47780 | + | 5.69119i | 0.261183 | + | 0.599904i | ||||
\(91\) | −1.69673 | + | 2.93883i | −0.177866 | + | 0.308073i | ||||
\(92\) | −7.18610 | − | 4.14890i | −0.749203 | − | 0.432553i | ||||
\(93\) | −3.50156 | + | 2.02163i | −0.363095 | + | 0.209633i | ||||
\(94\) | −10.1414 | −1.04601 | ||||||||
\(95\) | −5.02989 | − | 3.71824i | −0.516056 | − | 0.381484i | ||||
\(96\) | −0.236675 | + | 0.409934i | −0.0241556 | + | 0.0418387i | ||||
\(97\) | 9.61520i | 0.976276i | 0.872767 | + | 0.488138i | \(0.162324\pi\) | ||||
−0.872767 | + | 0.488138i | \(0.837676\pi\) | |||||||
\(98\) | 1.81915 | + | 1.05029i | 0.183762 | + | 0.106095i | ||||
\(99\) | 7.68402 | + | 13.3091i | 0.772273 | + | 1.33762i | ||||
\(100\) | 4.87291 | + | 1.12014i | 0.487291 | + | 0.112014i | ||||
\(101\) | 6.23616 | + | 10.8013i | 0.620521 | + | 1.07477i | 0.989389 | + | 0.145292i | \(0.0464121\pi\) |
−0.368868 | + | 0.929482i | \(0.620255\pi\) | |||||||
\(102\) | 0.563272i | 0.0557722i | ||||||||
\(103\) | 3.07753 | − | 1.77681i | 0.303238 | − | 0.175075i | −0.340659 | − | 0.940187i | \(-0.610650\pi\) |
0.643897 | + | 0.765112i | \(0.277317\pi\) | |||||||
\(104\) | −0.562444 | − | 0.974182i | −0.0551522 | − | 0.0955264i | ||||
\(105\) | 0.359959 | − | 3.17267i | 0.0351284 | − | 0.309621i | ||||
\(106\) | 2.10403 | − | 3.64429i | 0.204361 | − | 0.353964i | ||||
\(107\) | 4.32197i | 0.417820i | 0.977935 | + | 0.208910i | \(0.0669916\pi\) | ||||
−0.977935 | + | 0.208910i | \(0.933008\pi\) | |||||||
\(108\) | 2.73404i | 0.263084i | ||||||||
\(109\) | −0.553516 | + | 0.958718i | −0.0530172 | + | 0.0918285i | −0.891316 | − | 0.453383i | \(-0.850217\pi\) |
0.838299 | + | 0.545211i | \(0.183550\pi\) | |||||||
\(110\) | 12.3003 | + | 1.39555i | 1.17279 | + | 0.133060i | ||||
\(111\) | 0.390871 | + | 0.677009i | 0.0370999 | + | 0.0642589i | ||||
\(112\) | −2.61255 | + | 1.50836i | −0.246863 | + | 0.142526i | ||||
\(113\) | − | 14.2626i | − | 1.34172i | −0.741585 | − | 0.670859i | \(-0.765926\pi\) | ||
0.741585 | − | 0.670859i | \(-0.234074\pi\) | |||||||
\(114\) | −0.662058 | − | 1.14672i | −0.0620074 | − | 0.107400i | ||||
\(115\) | −11.0295 | + | 14.9203i | −1.02851 | + | 1.39133i | ||||
\(116\) | 1.23345 | + | 2.13640i | 0.114523 | + | 0.198359i | ||||
\(117\) | −2.70427 | − | 1.56131i | −0.250010 | − | 0.144343i | ||||
\(118\) | 12.8615i | 1.18400i | ||||||||
\(119\) | −1.79490 | + | 3.10885i | −0.164538 | + | 0.284988i | ||||
\(120\) | 0.851135 | + | 0.629184i | 0.0776977 | + | 0.0574364i | ||||
\(121\) | 19.6490 | 1.78628 | ||||||||
\(122\) | −4.02309 | + | 2.32273i | −0.364233 | + | 0.210290i | ||||
\(123\) | −1.29722 | − | 0.748952i | −0.116967 | − | 0.0675308i | ||||
\(124\) | 4.27089 | − | 7.39740i | 0.383537 | − | 0.664306i | ||||
\(125\) | 3.71711 | − | 10.5443i | 0.332468 | − | 0.943114i | ||||
\(126\) | −4.18711 | + | 7.25229i | −0.373017 | + | 0.646085i | ||||
\(127\) | 15.2370i | 1.35206i | 0.736873 | + | 0.676031i | \(0.236302\pi\) | ||||
−0.736873 | + | 0.676031i | \(0.763698\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | −2.91272 | − | 1.07270i | −0.256450 | − | 0.0944461i | ||||
\(130\) | −2.30623 | + | 1.00408i | −0.202270 | + | 0.0880632i | ||||
\(131\) | −8.38309 | −0.732434 | −0.366217 | − | 0.930530i | \(-0.619347\pi\) | ||||
−0.366217 | + | 0.930530i | \(0.619347\pi\) | |||||||
\(132\) | 2.26946 | + | 1.31027i | 0.197531 | + | 0.114045i | ||||
\(133\) | − | 8.43874i | − | 0.731731i | ||||||
\(134\) | −2.44340 | + | 4.23209i | −0.211078 | + | 0.365597i | ||||
\(135\) | 6.07454 | + | 0.689195i | 0.522813 | + | 0.0593164i | ||||
\(136\) | −0.594984 | − | 1.03054i | −0.0510194 | − | 0.0883682i | ||||
\(137\) | − | 8.96586i | − | 0.766005i | −0.923747 | − | 0.383003i | \(-0.874890\pi\) | ||
0.923747 | − | 0.383003i | \(-0.125110\pi\) | |||||||
\(138\) | −3.40155 | + | 1.96388i | −0.289559 | + | 0.167177i | ||||
\(139\) | −2.07650 | + | 3.59660i | −0.176126 | + | 0.305060i | −0.940550 | − | 0.339654i | \(-0.889690\pi\) |
0.764424 | + | 0.644714i | \(0.223023\pi\) | |||||||
\(140\) | 2.69272 | + | 6.18483i | 0.227576 | + | 0.522713i | ||||
\(141\) | −2.40023 | + | 4.15732i | −0.202136 | + | 0.350109i | ||||
\(142\) | 2.25307 | − | 1.30081i | 0.189073 | − | 0.109162i | ||||
\(143\) | −5.39322 | + | 3.11378i | −0.451004 | + | 0.260387i | ||||
\(144\) | −1.38797 | − | 2.40403i | −0.115664 | − | 0.200336i | ||||
\(145\) | 5.05760 | − | 2.20195i | 0.420011 | − | 0.182862i | ||||
\(146\) | −5.25725 | − | 9.10583i | −0.435093 | − | 0.753604i | ||||
\(147\) | 0.861095 | − | 0.497153i | 0.0710219 | − | 0.0410045i | ||||
\(148\) | −1.43025 | − | 0.825754i | −0.117566 | − | 0.0678766i | ||||
\(149\) | 10.7137 | − | 18.5567i | 0.877700 | − | 1.52022i | 0.0238410 | − | 0.999716i | \(-0.492410\pi\) |
0.853859 | − | 0.520505i | \(-0.174256\pi\) | |||||||
\(150\) | 1.61248 | − | 1.73246i | 0.131659 | − | 0.141455i | ||||
\(151\) | 8.25794 | 0.672022 | 0.336011 | − | 0.941858i | \(-0.390922\pi\) | ||||
0.336011 | + | 0.941858i | \(0.390922\pi\) | |||||||
\(152\) | 2.42256 | + | 1.39866i | 0.196495 | + | 0.113447i | ||||
\(153\) | −2.86072 | − | 1.65164i | −0.231276 | − | 0.133527i | ||||
\(154\) | 8.35051 | + | 14.4635i | 0.672903 | + | 1.16550i | ||||
\(155\) | −15.3590 | − | 11.3538i | −1.23367 | − | 0.911963i | ||||
\(156\) | −0.532466 | −0.0426314 | ||||||||
\(157\) | 8.24025 | − | 4.75751i | 0.657644 | − | 0.379691i | −0.133735 | − | 0.991017i | \(-0.542697\pi\) |
0.791379 | + | 0.611326i | \(0.209364\pi\) | |||||||
\(158\) | 14.1994 | − | 8.19803i | 1.12964 | − | 0.652200i | ||||
\(159\) | −0.995944 | − | 1.72503i | −0.0789835 | − | 0.136803i | ||||
\(160\) | −2.22181 | − | 0.252079i | −0.175650 | − | 0.0199286i | ||||
\(161\) | −25.0321 | −1.97281 | ||||||||
\(162\) | −6.09133 | − | 3.51683i | −0.478580 | − | 0.276308i | ||||
\(163\) | −2.46986 | + | 1.42597i | −0.193454 | + | 0.111691i | −0.593599 | − | 0.804761i | \(-0.702293\pi\) |
0.400144 | + | 0.916452i | \(0.368960\pi\) | |||||||
\(164\) | 3.16447 | 0.247104 | ||||||||
\(165\) | 3.48326 | − | 4.71202i | 0.271172 | − | 0.366830i | ||||
\(166\) | −7.10904 | + | 12.3132i | −0.551768 | + | 0.955691i | ||||
\(167\) | −8.23219 | − | 4.75286i | −0.637026 | − | 0.367787i | 0.146442 | − | 0.989219i | \(-0.453218\pi\) |
−0.783468 | + | 0.621432i | \(0.786551\pi\) | |||||||
\(168\) | 1.42796i | 0.110170i | ||||||||
\(169\) | −5.86731 | + | 10.1625i | −0.451332 | + | 0.781730i | ||||
\(170\) | −2.43965 | + | 1.06216i | −0.187113 | + | 0.0814643i | ||||
\(171\) | 7.76521 | 0.593820 | ||||||||
\(172\) | 6.46210 | − | 1.11413i | 0.492730 | − | 0.0849513i | ||||
\(173\) | − | 21.9735i | − | 1.67061i | −0.549786 | − | 0.835305i | \(-0.685291\pi\) | ||
0.549786 | − | 0.835305i | \(-0.314709\pi\) | |||||||
\(174\) | 1.16771 | 0.0885237 | ||||||||
\(175\) | 14.4203 | − | 4.42366i | 1.09007 | − | 0.334397i | ||||
\(176\) | −5.53616 | −0.417304 | ||||||||
\(177\) | 5.27238 | + | 3.04401i | 0.396296 | + | 0.228802i | ||||
\(178\) | 5.12502 | + | 2.95893i | 0.384136 | + | 0.221781i | ||||
\(179\) | −4.75905 | − | 8.24292i | −0.355708 | − | 0.616105i | 0.631531 | − | 0.775351i | \(-0.282427\pi\) |
−0.987239 | + | 0.159246i | \(0.949094\pi\) | |||||||
\(180\) | −5.69119 | + | 2.47780i | −0.424197 | + | 0.184685i | ||||
\(181\) | 6.20740 | + | 10.7515i | 0.461392 | + | 0.799155i | 0.999031 | − | 0.0440208i | \(-0.0140168\pi\) |
−0.537638 | + | 0.843176i | \(0.680683\pi\) | |||||||
\(182\) | −2.93883 | − | 1.69673i | −0.217840 | − | 0.125770i | ||||
\(183\) | 2.19893i | 0.162550i | ||||||||
\(184\) | 4.14890 | − | 7.18610i | 0.305861 | − | 0.529767i | ||||
\(185\) | −2.19521 | + | 2.96959i | −0.161395 | + | 0.218329i | ||||
\(186\) | −2.02163 | − | 3.50156i | −0.148233 | − | 0.256747i | ||||
\(187\) | −5.70524 | + | 3.29392i | −0.417209 | + | 0.240875i | ||||
\(188\) | − | 10.1414i | − | 0.739641i | ||||||
\(189\) | 4.12392 | + | 7.14283i | 0.299971 | + | 0.519565i | ||||
\(190\) | 3.71824 | − | 5.02989i | 0.269750 | − | 0.364907i | ||||
\(191\) | −6.35330 | + | 11.0042i | −0.459709 | + | 0.796239i | −0.998945 | − | 0.0459156i | \(-0.985379\pi\) |
0.539237 | + | 0.842154i | \(0.318713\pi\) | |||||||
\(192\) | −0.409934 | − | 0.236675i | −0.0295844 | − | 0.0170806i | ||||
\(193\) | 3.44388i | 0.247896i | 0.992289 | + | 0.123948i | \(0.0395556\pi\) | ||||
−0.992289 | + | 0.123948i | \(0.960444\pi\) | |||||||
\(194\) | −9.61520 | −0.690331 | ||||||||
\(195\) | −0.134223 | + | 1.18304i | −0.00961194 | + | 0.0847193i | ||||
\(196\) | −1.05029 | + | 1.81915i | −0.0750204 | + | 0.129939i | ||||
\(197\) | 9.05370 | − | 5.22716i | 0.645050 | − | 0.372420i | −0.141507 | − | 0.989937i | \(-0.545195\pi\) |
0.786557 | + | 0.617518i | \(0.211862\pi\) | |||||||
\(198\) | −13.3091 | + | 7.68402i | −0.945837 | + | 0.546079i | ||||
\(199\) | −10.7338 | −0.760900 | −0.380450 | − | 0.924801i | \(-0.624231\pi\) | ||||
−0.380450 | + | 0.924801i | \(0.624231\pi\) | |||||||
\(200\) | −1.12014 | + | 4.87291i | −0.0792062 | + | 0.344567i | ||||
\(201\) | 1.15659 | + | 2.00326i | 0.0815792 | + | 0.141299i | ||||
\(202\) | −10.8013 | + | 6.23616i | −0.759980 | + | 0.438774i | ||||
\(203\) | 6.44490 | + | 3.72096i | 0.452343 | + | 0.261161i | ||||
\(204\) | −0.563272 | −0.0394369 | ||||||||
\(205\) | 0.797696 | − | 7.03087i | 0.0557135 | − | 0.491057i | ||||
\(206\) | 1.77681 | + | 3.07753i | 0.123796 | + | 0.214422i | ||||
\(207\) | − | 23.0342i | − | 1.60099i | ||||||
\(208\) | 0.974182 | − | 0.562444i | 0.0675473 | − | 0.0389985i | ||||
\(209\) | 7.74322 | − | 13.4117i | 0.535610 | − | 0.927703i | ||||
\(210\) | 3.17267 | + | 0.359959i | 0.218935 | + | 0.0248396i | ||||
\(211\) | −13.2772 | −0.914038 | −0.457019 | − | 0.889457i | \(-0.651083\pi\) | ||||
−0.457019 | + | 0.889457i | \(0.651083\pi\) | |||||||
\(212\) | 3.64429 | + | 2.10403i | 0.250291 | + | 0.144505i | ||||
\(213\) | − | 1.23148i | − | 0.0843795i | ||||||
\(214\) | −4.32197 | −0.295444 | ||||||||
\(215\) | −0.846423 | − | 14.6384i | −0.0577256 | − | 0.998332i | ||||
\(216\) | −2.73404 | −0.186028 | ||||||||
\(217\) | − | 25.7681i | − | 1.74925i | ||||||
\(218\) | −0.958718 | − | 0.553516i | −0.0649326 | − | 0.0374888i | ||||
\(219\) | −4.97705 | −0.336318 | ||||||||
\(220\) | −1.39555 | + | 12.3003i | −0.0940878 | + | 0.829287i | ||||
\(221\) | 0.669290 | − | 1.15924i | 0.0450213 | − | 0.0779792i | ||||
\(222\) | −0.677009 | + | 0.390871i | −0.0454379 | + | 0.0262336i | ||||
\(223\) | − | 9.85323i | − | 0.659821i | −0.944012 | − | 0.329911i | \(-0.892981\pi\) | ||
0.944012 | − | 0.329911i | \(-0.107019\pi\) | |||||||
\(224\) | −1.50836 | − | 2.61255i | −0.100781 | − | 0.174558i | ||||
\(225\) | 4.07059 | + | 13.2694i | 0.271373 | + | 0.884625i | ||||
\(226\) | 14.2626 | 0.948737 | ||||||||
\(227\) | 7.93914 | + | 4.58366i | 0.526939 | + | 0.304228i | 0.739769 | − | 0.672861i | \(-0.234935\pi\) |
−0.212830 | + | 0.977089i | \(0.568268\pi\) | |||||||
\(228\) | 1.14672 | − | 0.662058i | 0.0759433 | − | 0.0438459i | ||||
\(229\) | 0.999440 | + | 1.73108i | 0.0660449 | + | 0.114393i | 0.897157 | − | 0.441712i | \(-0.145629\pi\) |
−0.831112 | + | 0.556105i | \(0.812295\pi\) | |||||||
\(230\) | −14.9203 | − | 11.0295i | −0.983818 | − | 0.727267i | ||||
\(231\) | 7.90543 | 0.520139 | ||||||||
\(232\) | −2.13640 | + | 1.23345i | −0.140261 | + | 0.0809799i | ||||
\(233\) | 1.86373 | − | 1.07602i | 0.122097 | − | 0.0704927i | −0.437708 | − | 0.899117i | \(-0.644210\pi\) |
0.559805 | + | 0.828625i | \(0.310876\pi\) | |||||||
\(234\) | 1.56131 | − | 2.70427i | 0.102066 | − | 0.176784i | ||||
\(235\) | −22.5324 | − | 2.55644i | −1.46985 | − | 0.166764i | ||||
\(236\) | −12.8615 | −0.837215 | ||||||||
\(237\) | − | 7.76108i | − | 0.504136i | ||||||
\(238\) | −3.10885 | − | 1.79490i | −0.201517 | − | 0.116346i | ||||
\(239\) | −4.73582 | + | 8.20268i | −0.306335 | + | 0.530587i | −0.977558 | − | 0.210668i | \(-0.932436\pi\) |
0.671223 | + | 0.741256i | \(0.265769\pi\) | |||||||
\(240\) | −0.629184 | + | 0.851135i | −0.0406137 | + | 0.0549405i | ||||
\(241\) | −11.0520 | − | 19.1427i | −0.711923 | − | 1.23309i | −0.964134 | − | 0.265415i | \(-0.914491\pi\) |
0.252211 | − | 0.967672i | \(-0.418842\pi\) | |||||||
\(242\) | 19.6490i | 1.26309i | ||||||||
\(243\) | −9.98659 | + | 5.76576i | −0.640640 | + | 0.369874i | ||||
\(244\) | −2.32273 | − | 4.02309i | −0.148698 | − | 0.257552i | ||||
\(245\) | 3.77705 | + | 2.79211i | 0.241307 | + | 0.178381i | ||||
\(246\) | 0.748952 | − | 1.29722i | 0.0477515 | − | 0.0827080i | ||||
\(247\) | 3.14668i | 0.200218i | ||||||||
\(248\) | 7.39740 | + | 4.27089i | 0.469735 | + | 0.271202i | ||||
\(249\) | 3.36507 | + | 5.82847i | 0.213252 | + | 0.369364i | ||||
\(250\) | 10.5443 | + | 3.71711i | 0.666883 | + | 0.235091i | ||||
\(251\) | −4.48542 | − | 7.76897i | −0.283117 | − | 0.490373i | 0.689034 | − | 0.724729i | \(-0.258035\pi\) |
−0.972151 | + | 0.234356i | \(0.924702\pi\) | |||||||
\(252\) | −7.25229 | − | 4.18711i | −0.456851 | − | 0.263763i | ||||
\(253\) | −39.7834 | − | 22.9690i | −2.50116 | − | 1.44405i | ||||
\(254\) | −15.2370 | −0.956053 | ||||||||
\(255\) | −0.141989 | + | 1.25148i | −0.00889169 | + | 0.0783710i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 30.6806i | 1.91381i | 0.290409 | + | 0.956903i | \(0.406209\pi\) | ||||
−0.290409 | + | 0.956903i | \(0.593791\pi\) | |||||||
\(258\) | 1.07270 | − | 2.91272i | 0.0667835 | − | 0.181338i | ||||
\(259\) | −4.98213 | −0.309575 | ||||||||
\(260\) | −1.00408 | − | 2.30623i | −0.0622701 | − | 0.143026i | ||||
\(261\) | −3.42398 | + | 5.93051i | −0.211939 | + | 0.367089i | ||||
\(262\) | − | 8.38309i | − | 0.517909i | ||||||
\(263\) | −15.9023 | − | 9.18119i | −0.980577 | − | 0.566136i | −0.0781326 | − | 0.996943i | \(-0.524896\pi\) |
−0.902444 | + | 0.430807i | \(0.858229\pi\) | |||||||
\(264\) | −1.31027 | + | 2.26946i | −0.0806416 | + | 0.139675i | ||||
\(265\) | 5.59341 | − | 7.56654i | 0.343600 | − | 0.464809i | ||||
\(266\) | 8.43874 | 0.517412 | ||||||||
\(267\) | 2.42593 | − | 1.40061i | 0.148464 | − | 0.0857160i | ||||
\(268\) | −4.23209 | − | 2.44340i | −0.258516 | − | 0.149254i | ||||
\(269\) | −18.6582 | −1.13761 | −0.568805 | − | 0.822473i | \(-0.692594\pi\) | ||||
−0.568805 | + | 0.822473i | \(0.692594\pi\) | |||||||
\(270\) | −0.689195 | + | 6.07454i | −0.0419430 | + | 0.369685i | ||||
\(271\) | −0.773072 | − | 1.33900i | −0.0469607 | − | 0.0813384i | 0.841590 | − | 0.540118i | \(-0.181620\pi\) |
−0.888550 | + | 0.458779i | \(0.848287\pi\) | |||||||
\(272\) | 1.03054 | − | 0.594984i | 0.0624858 | − | 0.0360762i | ||||
\(273\) | −1.39110 | + | 0.803150i | −0.0841930 | + | 0.0486088i | ||||
\(274\) | 8.96586 | 0.541647 | ||||||||
\(275\) | 26.9772 | + | 6.20130i | 1.62679 | + | 0.373952i | ||||
\(276\) | −1.96388 | − | 3.40155i | −0.118212 | − | 0.204749i | ||||
\(277\) | 11.7229 | + | 6.76823i | 0.704362 | + | 0.406664i | 0.808970 | − | 0.587850i | \(-0.200025\pi\) |
−0.104608 | + | 0.994514i | \(0.533359\pi\) | |||||||
\(278\) | −3.59660 | − | 2.07650i | −0.215710 | − | 0.124540i | ||||
\(279\) | 23.7115 | 1.41957 | ||||||||
\(280\) | −6.18483 | + | 2.69272i | −0.369614 | + | 0.160921i | ||||
\(281\) | 7.83710 | − | 13.5742i | 0.467522 | − | 0.809772i | −0.531789 | − | 0.846877i | \(-0.678480\pi\) |
0.999311 | + | 0.0371049i | \(0.0118136\pi\) | |||||||
\(282\) | −4.15732 | − | 2.40023i | −0.247565 | − | 0.142932i | ||||
\(283\) | −11.6535 | + | 6.72812i | −0.692726 | + | 0.399945i | −0.804632 | − | 0.593773i | \(-0.797638\pi\) |
0.111907 | + | 0.993719i | \(0.464304\pi\) | |||||||
\(284\) | 1.30081 | + | 2.25307i | 0.0771888 | + | 0.133695i | ||||
\(285\) | −1.18191 | − | 2.71469i | −0.0700101 | − | 0.160804i | ||||
\(286\) | −3.11378 | − | 5.39322i | −0.184122 | − | 0.318908i | ||||
\(287\) | 8.26735 | − | 4.77316i | 0.488006 | − | 0.281750i | ||||
\(288\) | 2.40403 | − | 1.38797i | 0.141659 | − | 0.0817869i | ||||
\(289\) | −7.79199 | + | 13.4961i | −0.458352 | + | 0.793889i | ||||
\(290\) | 2.20195 | + | 5.05760i | 0.129303 | + | 0.296993i | ||||
\(291\) | −2.27568 | + | 3.94159i | −0.133403 | + | 0.231060i | ||||
\(292\) | 9.10583 | − | 5.25725i | 0.532878 | − | 0.307658i | ||||
\(293\) | 7.80731i | 0.456108i | 0.973649 | + | 0.228054i | \(0.0732362\pi\) | ||||
−0.973649 | + | 0.228054i | \(0.926764\pi\) | |||||||
\(294\) | 0.497153 | + | 0.861095i | 0.0289946 | + | 0.0502201i | ||||
\(295\) | −3.24212 | + | 28.5759i | −0.188764 | + | 1.66376i | ||||
\(296\) | 0.825754 | − | 1.43025i | 0.0479960 | − | 0.0831315i | ||||
\(297\) | 15.1361i | 0.878286i | ||||||||
\(298\) | 18.5567 | + | 10.7137i | 1.07496 | + | 0.620627i | ||||
\(299\) | 9.33409 | 0.539804 | ||||||||
\(300\) | 1.73246 | + | 1.61248i | 0.100024 | + | 0.0930967i | ||||
\(301\) | 15.2021 | − | 12.6579i | 0.876233 | − | 0.729587i | ||||
\(302\) | 8.25794i | 0.475191i | ||||||||
\(303\) | 5.90378i | 0.339163i | ||||||||
\(304\) | −1.39866 | + | 2.42256i | −0.0802188 | + | 0.138943i | ||||
\(305\) | −9.52406 | + | 4.14654i | −0.545346 | + | 0.237430i | ||||
\(306\) | 1.65164 | − | 2.86072i | 0.0944179 | − | 0.163537i | ||||
\(307\) | 27.3296 | + | 15.7788i | 1.55978 | + | 0.900541i | 0.997277 | + | 0.0737483i | \(0.0234961\pi\) |
0.562506 | + | 0.826793i | \(0.309837\pi\) | |||||||
\(308\) | −14.4635 | + | 8.35051i | −0.824134 | + | 0.475814i | ||||
\(309\) | 1.68211 | 0.0956919 | ||||||||
\(310\) | 11.3538 | − | 15.3590i | 0.644855 | − | 0.872335i | ||||
\(311\) | −3.61390 | + | 6.25946i | −0.204926 | + | 0.354942i | −0.950109 | − | 0.311918i | \(-0.899029\pi\) |
0.745183 | + | 0.666860i | \(0.232362\pi\) | |||||||
\(312\) | − | 0.532466i | − | 0.0301450i | ||||||
\(313\) | 29.6143 | + | 17.0978i | 1.67390 | + | 0.966426i | 0.965422 | + | 0.260692i | \(0.0839507\pi\) |
0.708477 | + | 0.705734i | \(0.249383\pi\) | |||||||
\(314\) | 4.75751 | + | 8.24025i | 0.268482 | + | 0.465024i | ||||
\(315\) | −11.1311 | + | 15.0577i | −0.627168 | + | 0.848408i | ||||
\(316\) | 8.19803 | + | 14.1994i | 0.461175 | + | 0.798779i | ||||
\(317\) | − | 3.03458i | − | 0.170439i | −0.996362 | − | 0.0852194i | \(-0.972841\pi\) | ||
0.996362 | − | 0.0852194i | \(-0.0271591\pi\) | |||||||
\(318\) | 1.72503 | − | 0.995944i | 0.0967346 | − | 0.0558497i | ||||
\(319\) | 6.82857 | + | 11.8274i | 0.382326 | + | 0.662209i | ||||
\(320\) | 0.252079 | − | 2.22181i | 0.0140916 | − | 0.124203i | ||||
\(321\) | −1.02290 | + | 1.77172i | −0.0570928 | + | 0.0988877i | ||||
\(322\) | − | 25.0321i | − | 1.39498i | ||||||
\(323\) | 3.32873i | 0.185215i | ||||||||
\(324\) | 3.51683 | − | 6.09133i | 0.195379 | − | 0.338407i | ||||
\(325\) | −5.37712 | + | 1.64952i | −0.298269 | + | 0.0914987i | ||||
\(326\) | −1.42597 | − | 2.46986i | −0.0789774 | − | 0.136793i | ||||
\(327\) | −0.453810 | + | 0.262007i | −0.0250957 | + | 0.0144890i | ||||
\(328\) | 3.16447i | 0.174729i | ||||||||
\(329\) | −15.2969 | − | 26.4951i | −0.843347 | − | 1.46072i | ||||
\(330\) | 4.71202 | + | 3.48326i | 0.259388 | + | 0.191747i | ||||
\(331\) | −15.2128 | − | 26.3493i | −0.836170 | − | 1.44829i | −0.893074 | − | 0.449909i | \(-0.851456\pi\) |
0.0569044 | − | 0.998380i | \(-0.481877\pi\) | |||||||
\(332\) | −12.3132 | − | 7.10904i | −0.675775 | − | 0.390159i | ||||
\(333\) | − | 4.58449i | − | 0.251228i | ||||||
\(334\) | 4.75286 | − | 8.23219i | 0.260065 | − | 0.450445i | ||||
\(335\) | −6.49560 | + | 8.78700i | −0.354893 | + | 0.480085i | ||||
\(336\) | −1.42796 | −0.0779018 | ||||||||
\(337\) | −18.8926 | + | 10.9076i | −1.02914 | + | 0.594177i | −0.916739 | − | 0.399486i | \(-0.869189\pi\) |
−0.112405 | + | 0.993663i | \(0.535855\pi\) | |||||||
\(338\) | −10.1625 | − | 5.86731i | −0.552766 | − | 0.319140i | ||||
\(339\) | 3.37562 | − | 5.84674i | 0.183338 | − | 0.317551i | ||||
\(340\) | −1.06216 | − | 2.43965i | −0.0576040 | − | 0.132309i | ||||
\(341\) | 23.6443 | − | 40.9531i | 1.28041 | − | 2.21774i | ||||
\(342\) | 7.76521i | 0.419894i | ||||||||
\(343\) | − | 14.7802i | − | 0.798055i | ||||||
\(344\) | 1.11413 | + | 6.46210i | 0.0600697 | + | 0.348413i | ||||
\(345\) | −8.05265 | + | 3.50593i | −0.433540 | + | 0.188753i | ||||
\(346\) | 21.9735 | 1.18130 | ||||||||
\(347\) | 20.1322 | + | 11.6233i | 1.08075 | + | 0.623972i | 0.931099 | − | 0.364767i | \(-0.118851\pi\) |
0.149652 | + | 0.988739i | \(0.452185\pi\) | |||||||
\(348\) | 1.16771i | 0.0625957i | ||||||||
\(349\) | −0.904403 | + | 1.56647i | −0.0484116 | + | 0.0838513i | −0.889216 | − | 0.457488i | \(-0.848749\pi\) |
0.840804 | + | 0.541339i | \(0.182083\pi\) | |||||||
\(350\) | 4.42366 | + | 14.4203i | 0.236455 | + | 0.770798i | ||||
\(351\) | −1.53775 | − | 2.66346i | −0.0820788 | − | 0.142165i | ||||
\(352\) | − | 5.53616i | − | 0.295078i | ||||||
\(353\) | −11.1439 | + | 6.43394i | −0.593131 | + | 0.342444i | −0.766334 | − | 0.642442i | \(-0.777921\pi\) |
0.173204 | + | 0.984886i | \(0.444588\pi\) | |||||||
\(354\) | −3.04401 | + | 5.27238i | −0.161787 | + | 0.280224i | ||||
\(355\) | 5.33380 | − | 2.32221i | 0.283089 | − | 0.123250i | ||||
\(356\) | −2.95893 | + | 5.12502i | −0.156823 | + | 0.271625i | ||||
\(357\) | −1.47158 | + | 0.849615i | −0.0778841 | + | 0.0449664i | ||||
\(358\) | 8.24292 | − | 4.75905i | 0.435652 | − | 0.251524i | ||||
\(359\) | −0.523087 | − | 0.906013i | −0.0276075 | − | 0.0478175i | 0.851892 | − | 0.523718i | \(-0.175456\pi\) |
−0.879499 | + | 0.475901i | \(0.842122\pi\) | |||||||
\(360\) | −2.47780 | − | 5.69119i | −0.130592 | − | 0.299952i | ||||
\(361\) | 5.58748 | + | 9.67780i | 0.294078 | + | 0.509358i | ||||
\(362\) | −10.7515 | + | 6.20740i | −0.565088 | + | 0.326254i | ||||
\(363\) | 8.05480 | + | 4.65044i | 0.422768 | + | 0.244085i | ||||
\(364\) | 1.69673 | − | 2.93883i | 0.0889330 | − | 0.154036i | ||||
\(365\) | −9.38525 | − | 21.5567i | −0.491247 | − | 1.12833i | ||||
\(366\) | −2.19893 | −0.114940 | ||||||||
\(367\) | −20.3585 | − | 11.7540i | −1.06271 | − | 0.613554i | −0.136527 | − | 0.990636i | \(-0.543594\pi\) |
−0.926180 | + | 0.377083i | \(0.876927\pi\) | |||||||
\(368\) | 7.18610 | + | 4.14890i | 0.374602 | + | 0.216276i | ||||
\(369\) | 4.39219 | + | 7.60750i | 0.228648 | + | 0.396031i | ||||
\(370\) | −2.96959 | − | 2.19521i | −0.154382 | − | 0.114123i | ||||
\(371\) | 12.6945 | 0.659067 | ||||||||
\(372\) | 3.50156 | − | 2.02163i | 0.181547 | − | 0.104816i | ||||
\(373\) | 12.1072 | − | 6.99010i | 0.626888 | − | 0.361934i | −0.152658 | − | 0.988279i | \(-0.548783\pi\) |
0.779546 | + | 0.626345i | \(0.215450\pi\) | |||||||
\(374\) | −3.29392 | − | 5.70524i | −0.170325 | − | 0.295011i | ||||
\(375\) | 4.01935 | − | 3.44273i | 0.207558 | − | 0.177782i | ||||
\(376\) | 10.1414 | 0.523005 | ||||||||
\(377\) | −2.40321 | − | 1.38749i | −0.123771 | − | 0.0714595i | ||||
\(378\) | −7.14283 | + | 4.12392i | −0.367388 | + | 0.212111i | ||||
\(379\) | −22.1503 | −1.13778 | −0.568892 | − | 0.822412i | \(-0.692628\pi\) | ||||
−0.568892 | + | 0.822412i | \(0.692628\pi\) | |||||||
\(380\) | 5.02989 | + | 3.71824i | 0.258028 | + | 0.190742i | ||||
\(381\) | −3.60621 | + | 6.24615i | −0.184752 | + | 0.320000i | ||||
\(382\) | −11.0042 | − | 6.35330i | −0.563026 | − | 0.325063i | ||||
\(383\) | 30.3600i | 1.55132i | 0.631150 | + | 0.775661i | \(0.282583\pi\) | ||||
−0.631150 | + | 0.775661i | \(0.717417\pi\) | |||||||
\(384\) | 0.236675 | − | 0.409934i | 0.0120778 | − | 0.0209193i | ||||
\(385\) | 14.9073 | + | 34.2402i | 0.759748 | + | 1.74504i | ||||
\(386\) | −3.44388 | −0.175289 | ||||||||
\(387\) | 11.6476 | + | 13.9887i | 0.592081 | + | 0.711087i | ||||
\(388\) | − | 9.61520i | − | 0.488138i | ||||||
\(389\) | 16.6403 | 0.843695 | 0.421847 | − | 0.906667i | \(-0.361382\pi\) | ||||
0.421847 | + | 0.906667i | \(0.361382\pi\) | |||||||
\(390\) | −1.18304 | − | 0.134223i | −0.0599056 | − | 0.00679667i | ||||
\(391\) | 9.87411 | 0.499355 | ||||||||
\(392\) | −1.81915 | − | 1.05029i | −0.0918808 | − | 0.0530474i | ||||
\(393\) | −3.43651 | − | 1.98407i | −0.173349 | − | 0.100083i | ||||
\(394\) | 5.22716 | + | 9.05370i | 0.263340 | + | 0.456119i | ||||
\(395\) | 33.6150 | − | 14.6351i | 1.69135 | − | 0.736373i | ||||
\(396\) | −7.68402 | − | 13.3091i | −0.386136 | − | 0.668808i | ||||
\(397\) | 10.9856 | + | 6.34255i | 0.551353 | + | 0.318324i | 0.749667 | − | 0.661815i | \(-0.230213\pi\) |
−0.198315 | + | 0.980138i | \(0.563547\pi\) | |||||||
\(398\) | − | 10.7338i | − | 0.538038i | ||||||
\(399\) | 1.99724 | − | 3.45932i | 0.0999871 | − | 0.173183i | ||||
\(400\) | −4.87291 | − | 1.12014i | −0.243646 | − | 0.0560072i | ||||
\(401\) | 12.4304 | + | 21.5301i | 0.620746 | + | 1.07516i | 0.989347 | + | 0.145576i | \(0.0465035\pi\) |
−0.368601 | + | 0.929588i | \(0.620163\pi\) | |||||||
\(402\) | −2.00326 | + | 1.15659i | −0.0999137 | + | 0.0576852i | ||||
\(403\) | 9.60854i | 0.478636i | ||||||||
\(404\) | −6.23616 | − | 10.8013i | −0.310260 | − | 0.537387i | ||||
\(405\) | −12.6473 | − | 9.34923i | −0.628448 | − | 0.464567i | ||||
\(406\) | −3.72096 | + | 6.44490i | −0.184668 | + | 0.319855i | ||||
\(407\) | −7.91808 | − | 4.57151i | −0.392485 | − | 0.226601i | ||||
\(408\) | − | 0.563272i | − | 0.0278861i | ||||||
\(409\) | 7.76515 | 0.383962 | 0.191981 | − | 0.981399i | \(-0.438509\pi\) | ||||
0.191981 | + | 0.981399i | \(0.438509\pi\) | |||||||
\(410\) | 7.03087 | + | 0.797696i | 0.347230 | + | 0.0393954i | ||||
\(411\) | 2.12200 | − | 3.67541i | 0.104670 | − | 0.181294i | ||||
\(412\) | −3.07753 | + | 1.77681i | −0.151619 | + | 0.0875373i | ||||
\(413\) | −33.6014 | + | 19.3998i | −1.65342 | + | 0.954602i | ||||
\(414\) | 23.0342 | 1.13207 | ||||||||
\(415\) | −18.8989 | + | 25.5656i | −0.927708 | + | 1.25497i | ||||
\(416\) | 0.562444 | + | 0.974182i | 0.0275761 | + | 0.0477632i | ||||
\(417\) | −1.70245 | + | 0.982911i | −0.0833695 | + | 0.0481334i | ||||
\(418\) | 13.4117 | + | 7.74322i | 0.655985 | + | 0.378733i | ||||
\(419\) | 6.07911 | 0.296984 | 0.148492 | − | 0.988914i | \(-0.452558\pi\) | ||||
0.148492 | + | 0.988914i | \(0.452558\pi\) | |||||||
\(420\) | −0.359959 | + | 3.17267i | −0.0175642 | + | 0.154810i | ||||
\(421\) | −2.89885 | − | 5.02096i | −0.141282 | − | 0.244707i | 0.786698 | − | 0.617338i | \(-0.211789\pi\) |
−0.927979 | + | 0.372631i | \(0.878456\pi\) | |||||||
\(422\) | − | 13.2772i | − | 0.646322i | ||||||
\(423\) | 24.3804 | − | 14.0760i | 1.18541 | − | 0.684399i | ||||
\(424\) | −2.10403 | + | 3.64429i | −0.102181 | + | 0.176982i | ||||
\(425\) | −5.68821 | + | 1.74495i | −0.275919 | + | 0.0846424i | ||||
\(426\) | 1.23148 | 0.0596653 | ||||||||
\(427\) | −12.1365 | − | 7.00702i | −0.587327 | − | 0.339093i | ||||
\(428\) | − | 4.32197i | − | 0.208910i | ||||||
\(429\) | −2.94782 | −0.142322 | ||||||||
\(430\) | 14.6384 | − | 0.846423i | 0.705928 | − | 0.0408182i | ||||
\(431\) | −14.1449 | −0.681337 | −0.340668 | − | 0.940183i | \(-0.610653\pi\) | ||||
−0.340668 | + | 0.940183i | \(0.610653\pi\) | |||||||
\(432\) | − | 2.73404i | − | 0.131542i | ||||||
\(433\) | −20.9137 | − | 12.0745i | −1.00505 | − | 0.580264i | −0.0953089 | − | 0.995448i | \(-0.530384\pi\) |
−0.909738 | + | 0.415184i | \(0.863717\pi\) | |||||||
\(434\) | 25.7681 | 1.23691 | ||||||||
\(435\) | 2.59443 | + | 0.294354i | 0.124393 | + | 0.0141132i | ||||
\(436\) | 0.553516 | − | 0.958718i | 0.0265086 | − | 0.0459143i | ||||
\(437\) | −20.1019 | + | 11.6058i | −0.961603 | + | 0.555182i | ||||
\(438\) | − | 4.97705i | − | 0.237813i | ||||||
\(439\) | −3.97801 | − | 6.89011i | −0.189860 | − | 0.328847i | 0.755343 | − | 0.655329i | \(-0.227470\pi\) |
−0.945203 | + | 0.326482i | \(0.894137\pi\) | |||||||
\(440\) | −12.3003 | − | 1.39555i | −0.586394 | − | 0.0665301i | ||||
\(441\) | −5.83106 | −0.277669 | ||||||||
\(442\) | 1.15924 | + | 0.669290i | 0.0551396 | + | 0.0318349i | ||||
\(443\) | 32.3001 | − | 18.6485i | 1.53463 | − | 0.886017i | 0.535487 | − | 0.844544i | \(-0.320128\pi\) |
0.999140 | − | 0.0414731i | \(-0.0132051\pi\) | |||||||
\(444\) | −0.390871 | − | 0.677009i | −0.0185499 | − | 0.0321294i | ||||
\(445\) | 10.6409 | + | 7.86610i | 0.504429 | + | 0.372889i | ||||
\(446\) | 9.85323 | 0.466564 | ||||||||
\(447\) | 8.78380 | − | 5.07133i | 0.415460 | − | 0.239866i | ||||
\(448\) | 2.61255 | − | 1.50836i | 0.123431 | − | 0.0712632i | ||||
\(449\) | −20.2974 | + | 35.1561i | −0.957892 | + | 1.65912i | −0.230285 | + | 0.973123i | \(0.573966\pi\) |
−0.727607 | + | 0.685995i | \(0.759367\pi\) | |||||||
\(450\) | −13.2694 | + | 4.07059i | −0.625524 | + | 0.191889i | ||||
\(451\) | 17.5190 | 0.824938 | ||||||||
\(452\) | 14.2626i | 0.670859i | ||||||||
\(453\) | 3.38521 | + | 1.95445i | 0.159051 | + | 0.0918281i | ||||
\(454\) | −4.58366 | + | 7.93914i | −0.215122 | + | 0.372602i | ||||
\(455\) | −6.10182 | − | 4.51064i | −0.286058 | − | 0.211462i | ||||
\(456\) | 0.662058 | + | 1.14672i | 0.0310037 | + | 0.0537000i | ||||
\(457\) | 17.8329i | 0.834188i | 0.908863 | + | 0.417094i | \(0.136951\pi\) | ||||
−0.908863 | + | 0.417094i | \(0.863049\pi\) | |||||||
\(458\) | −1.73108 | + | 0.999440i | −0.0808881 | + | 0.0467008i | ||||
\(459\) | −1.62671 | − | 2.81755i | −0.0759284 | − | 0.131512i | ||||
\(460\) | 11.0295 | − | 14.9203i | 0.514255 | − | 0.695664i | ||||
\(461\) | 9.21727 | − | 15.9648i | 0.429291 | − | 0.743554i | −0.567519 | − | 0.823360i | \(-0.692097\pi\) |
0.996810 | + | 0.0798060i | \(0.0254301\pi\) | |||||||
\(462\) | 7.90543i | 0.367794i | ||||||||
\(463\) | 26.6641 | + | 15.3945i | 1.23918 | + | 0.715443i | 0.968927 | − | 0.247345i | \(-0.0795582\pi\) |
0.270256 | + | 0.962788i | \(0.412892\pi\) | |||||||
\(464\) | −1.23345 | − | 2.13640i | −0.0572614 | − | 0.0991797i | ||||
\(465\) | −3.60901 | − | 8.28943i | −0.167364 | − | 0.384413i | ||||
\(466\) | 1.07602 | + | 1.86373i | 0.0498458 | + | 0.0863355i | ||||
\(467\) | 12.3278 | + | 7.11744i | 0.570461 | + | 0.329356i | 0.757333 | − | 0.653028i | \(-0.226502\pi\) |
−0.186872 | + | 0.982384i | \(0.559835\pi\) | |||||||
\(468\) | 2.70427 | + | 1.56131i | 0.125005 | + | 0.0721716i | ||||
\(469\) | −14.7421 | −0.680726 | ||||||||
\(470\) | 2.55644 | − | 22.5324i | 0.117920 | − | 1.03934i | ||||
\(471\) | 4.50394 | 0.207531 | ||||||||
\(472\) | − | 12.8615i | − | 0.592000i | ||||||
\(473\) | 35.7752 | − | 6.16798i | 1.64495 | − | 0.283604i | ||||
\(474\) | 7.76108 | 0.356478 | ||||||||
\(475\) | 9.52918 | − | 10.2382i | 0.437229 | − | 0.469761i | ||||
\(476\) | 1.79490 | − | 3.10885i | 0.0822689 | − | 0.142494i | ||||
\(477\) | 11.6813i | 0.534851i | ||||||||
\(478\) | −8.20268 | − | 4.73582i | −0.375182 | − | 0.216611i | ||||
\(479\) | 0.365255 | − | 0.632641i | 0.0166889 | − | 0.0289061i | −0.857560 | − | 0.514383i | \(-0.828021\pi\) |
0.874249 | + | 0.485477i | \(0.161354\pi\) | |||||||
\(480\) | −0.851135 | − | 0.629184i | −0.0388488 | − | 0.0287182i | ||||
\(481\) | 1.85776 | 0.0847067 | ||||||||
\(482\) | 19.1427 | − | 11.0520i | 0.871924 | − | 0.503406i | ||||
\(483\) | −10.2615 | − | 5.92448i | −0.466914 | − | 0.269573i | ||||
\(484\) | −19.6490 | −0.893138 | ||||||||
\(485\) | −21.3632 | − | 2.42379i | −0.970052 | − | 0.110059i | ||||
\(486\) | −5.76576 | − | 9.98659i | −0.261540 | − | 0.453001i | ||||
\(487\) | −21.5183 | + | 12.4236i | −0.975086 | + | 0.562966i | −0.900783 | − | 0.434270i | \(-0.857006\pi\) |
−0.0743027 | + | 0.997236i | \(0.523673\pi\) | |||||||
\(488\) | 4.02309 | − | 2.32273i | 0.182117 | − | 0.105145i | ||||
\(489\) | −1.34997 | −0.0610478 | ||||||||
\(490\) | −2.79211 | + | 3.77705i | −0.126135 | + | 0.170630i | ||||
\(491\) | 11.4445 | + | 19.8225i | 0.516483 | + | 0.894575i | 0.999817 | + | 0.0191389i | \(0.00609247\pi\) |
−0.483334 | + | 0.875436i | \(0.660574\pi\) | |||||||
\(492\) | 1.29722 | + | 0.748952i | 0.0584834 | + | 0.0337654i | ||||
\(493\) | −2.54224 | − | 1.46776i | −0.114497 | − | 0.0661048i | ||||
\(494\) | −3.14668 | −0.141576 | ||||||||
\(495\) | −31.5073 | + | 13.7175i | −1.41615 | + | 0.616556i | ||||
\(496\) | −4.27089 | + | 7.39740i | −0.191769 | + | 0.332153i | ||||
\(497\) | 6.79687 | + | 3.92417i | 0.304881 | + | 0.176023i | ||||
\(498\) | −5.82847 | + | 3.36507i | −0.261180 | + | 0.150792i | ||||
\(499\) | −3.18071 | − | 5.50916i | −0.142388 | − | 0.246624i | 0.786007 | − | 0.618217i | \(-0.212145\pi\) |
−0.928395 | + | 0.371594i | \(0.878811\pi\) | |||||||
\(500\) | −3.71711 | + | 10.5443i | −0.166234 | + | 0.471557i | ||||
\(501\) | −2.24977 | − | 3.89671i | −0.100512 | − | 0.174092i | ||||
\(502\) | 7.76897 | − | 4.48542i | 0.346746 | − | 0.200194i | ||||
\(503\) | 2.98614 | − | 1.72405i | 0.133145 | − | 0.0768714i | −0.431948 | − | 0.901899i | \(-0.642174\pi\) |
0.565093 | + | 0.825027i | \(0.308840\pi\) | |||||||
\(504\) | 4.18711 | − | 7.25229i | 0.186509 | − | 0.323042i | ||||
\(505\) | −25.5706 | + | 11.1328i | −1.13788 | + | 0.495403i | ||||
\(506\) | 22.9690 | − | 39.7834i | 1.02109 | − | 1.76859i | ||||
\(507\) | −4.81042 | + | 2.77730i | −0.213638 | + | 0.123344i | ||||
\(508\) | − | 15.2370i | − | 0.676031i | ||||||
\(509\) | 19.9343 | + | 34.5273i | 0.883574 | + | 1.53040i | 0.847339 | + | 0.531052i | \(0.178203\pi\) |
0.0362347 | + | 0.999343i | \(0.488464\pi\) | |||||||
\(510\) | −1.25148 | − | 0.141989i | −0.0554167 | − | 0.00628737i | ||||
\(511\) | 15.8596 | − | 27.4697i | 0.701589 | − | 1.21519i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 6.62338 | + | 3.82401i | 0.292429 | + | 0.168834i | ||||
\(514\) | −30.6806 | −1.35326 | ||||||||
\(515\) | 3.17197 | + | 7.28560i | 0.139774 | + | 0.321042i | ||||
\(516\) | 2.91272 | + | 1.07270i | 0.128225 | + | 0.0472230i | ||||
\(517\) | − | 56.1446i | − | 2.46924i | ||||||
\(518\) | − | 4.98213i | − | 0.218902i | ||||||
\(519\) | 5.20057 | − | 9.00766i | 0.228280 | − | 0.395392i | ||||
\(520\) | 2.30623 | − | 1.00408i | 0.101135 | − | 0.0440316i | ||||
\(521\) | 15.1394 | − | 26.2221i | 0.663267 | − | 1.14881i | −0.316485 | − | 0.948598i | \(-0.602503\pi\) |
0.979752 | − | 0.200215i | \(-0.0641641\pi\) | |||||||
\(522\) | −5.93051 | − | 3.42398i | −0.259571 | − | 0.149864i | ||||
\(523\) | −13.0227 | + | 7.51864i | −0.569442 | + | 0.328767i | −0.756926 | − | 0.653500i | \(-0.773300\pi\) |
0.187485 | + | 0.982268i | \(0.439967\pi\) | |||||||
\(524\) | 8.38309 | 0.366217 | ||||||||
\(525\) | 6.95834 | + | 1.59953i | 0.303687 | + | 0.0698090i | ||||
\(526\) | 9.18119 | − | 15.9023i | 0.400319 | − | 0.693372i | ||||
\(527\) | 10.1644i | 0.442770i | ||||||||
\(528\) | −2.26946 | − | 1.31027i | −0.0987654 | − | 0.0570223i | ||||
\(529\) | 22.9267 | + | 39.7102i | 0.996814 | + | 1.72653i | ||||
\(530\) | 7.56654 | + | 5.59341i | 0.328670 | + | 0.242962i | ||||
\(531\) | −17.8514 | − | 30.9196i | −0.774686 | − | 1.34180i | ||||
\(532\) | 8.43874i | 0.365866i | ||||||||
\(533\) | −3.08277 | + | 1.77984i | −0.133530 | + | 0.0770934i | ||||
\(534\) | 1.40061 | + | 2.42593i | 0.0606104 | + | 0.104980i | ||||
\(535\) | −9.60260 | − | 1.08948i | −0.415157 | − | 0.0471022i | ||||
\(536\) | 2.44340 | − | 4.23209i | 0.105539 | − | 0.182799i | ||||
\(537\) | − | 4.50540i | − | 0.194422i | ||||||
\(538\) | − | 18.6582i | − | 0.804411i | ||||||
\(539\) | −5.81455 | + | 10.0711i | −0.250450 | + | 0.433793i | ||||
\(540\) | −6.07454 | − | 0.689195i | −0.261406 | − | 0.0296582i | ||||
\(541\) | 8.27066 | + | 14.3252i | 0.355583 | + | 0.615888i | 0.987218 | − | 0.159378i | \(-0.0509489\pi\) |
−0.631634 | + | 0.775267i | \(0.717616\pi\) | |||||||
\(542\) | 1.33900 | − | 0.773072i | 0.0575149 | − | 0.0332063i | ||||
\(543\) | 5.87655i | 0.252187i | ||||||||
\(544\) | 0.594984 | + | 1.03054i | 0.0255097 | + | 0.0441841i | ||||
\(545\) | −1.99056 | − | 1.47148i | −0.0852664 | − | 0.0630314i | ||||
\(546\) | −0.803150 | − | 1.39110i | −0.0343716 | − | 0.0595334i | ||||
\(547\) | −31.5841 | − | 18.2351i | −1.35044 | − | 0.779676i | −0.362128 | − | 0.932128i | \(-0.617950\pi\) |
−0.988311 | + | 0.152452i | \(0.951283\pi\) | |||||||
\(548\) | 8.96586i | 0.383003i | ||||||||
\(549\) | 6.44776 | − | 11.1678i | 0.275184 | − | 0.476632i | ||||
\(550\) | −6.20130 | + | 26.9772i | −0.264424 | + | 1.15031i | ||||
\(551\) | 6.90072 | 0.293981 | ||||||||
\(552\) | 3.40155 | − | 1.96388i | 0.144779 | − | 0.0835884i | ||||
\(553\) | 42.8355 | + | 24.7311i | 1.82155 | + | 1.05167i | ||||
\(554\) | −6.76823 | + | 11.7229i | −0.287555 | + | 0.498059i | ||||
\(555\) | −1.60272 | + | 0.697784i | −0.0680316 | + | 0.0296193i | ||||
\(556\) | 2.07650 | − | 3.59660i | 0.0880631 | − | 0.152530i | ||||
\(557\) | 1.50700i | 0.0638537i | 0.999490 | + | 0.0319269i | \(0.0101644\pi\) | ||||
−0.999490 | + | 0.0319269i | \(0.989836\pi\) | |||||||
\(558\) | 23.7115i | 1.00379i | ||||||||
\(559\) | −5.66862 | + | 4.71993i | −0.239757 | + | 0.199632i | ||||
\(560\) | −2.69272 | − | 6.18483i | −0.113788 | − | 0.261357i | ||||
\(561\) | −3.11836 | −0.131657 | ||||||||
\(562\) | 13.5742 | + | 7.83710i | 0.572595 | + | 0.330588i | ||||
\(563\) | − | 35.9078i | − | 1.51333i | −0.653802 | − | 0.756666i | \(-0.726827\pi\) | ||
0.653802 | − | 0.756666i | \(-0.273173\pi\) | |||||||
\(564\) | 2.40023 | − | 4.15732i | 0.101068 | − | 0.175055i | ||||
\(565\) | 31.6889 | + | 3.59531i | 1.33316 | + | 0.151256i | ||||
\(566\) | −6.72812 | − | 11.6535i | −0.282804 | − | 0.489831i | ||||
\(567\) | − | 21.2185i | − | 0.891095i | ||||||
\(568\) | −2.25307 | + | 1.30081i | −0.0945366 | + | 0.0545808i | ||||
\(569\) | 8.12198 | − | 14.0677i | 0.340491 | − | 0.589748i | −0.644033 | − | 0.764998i | \(-0.722740\pi\) |
0.984524 | + | 0.175250i | \(0.0560733\pi\) | |||||||
\(570\) | 2.71469 | − | 1.18191i | 0.113706 | − | 0.0495046i | ||||
\(571\) | 10.0696 | − | 17.4411i | 0.421401 | − | 0.729887i | −0.574676 | − | 0.818381i | \(-0.694872\pi\) |
0.996077 | + | 0.0884937i | \(0.0282053\pi\) | |||||||
\(572\) | 5.39322 | − | 3.11378i | 0.225502 | − | 0.130194i | ||||
\(573\) | −5.20886 | + | 3.00734i | −0.217603 | + | 0.125633i | ||||
\(574\) | 4.77316 | + | 8.26735i | 0.199228 | + | 0.345072i | ||||
\(575\) | −30.3699 | − | 28.2667i | −1.26651 | − | 1.17880i | ||||
\(576\) | 1.38797 | + | 2.40403i | 0.0578321 | + | 0.100168i | ||||
\(577\) | 3.80905 | − | 2.19915i | 0.158573 | − | 0.0915520i | −0.418614 | − | 0.908164i | \(-0.637484\pi\) |
0.577186 | + | 0.816612i | \(0.304151\pi\) | |||||||
\(578\) | −13.4961 | − | 7.79199i | −0.561365 | − | 0.324104i | ||||
\(579\) | −0.815082 | + | 1.41176i | −0.0338737 | + | 0.0586709i | ||||
\(580\) | −5.05760 | + | 2.20195i | −0.210005 | + | 0.0914312i | ||||
\(581\) | −42.8919 | −1.77946 | ||||||||
\(582\) | −3.94159 | − | 2.27568i | −0.163384 | − | 0.0943300i | ||||
\(583\) | 20.1753 | + | 11.6482i | 0.835577 | + | 0.482421i | ||||
\(584\) | 5.25725 | + | 9.10583i | 0.217547 | + | 0.376802i | ||||
\(585\) | 4.15063 | − | 5.61481i | 0.171607 | − | 0.232144i | ||||
\(586\) | −7.80731 | −0.322517 | ||||||||
\(587\) | −6.02384 | + | 3.47787i | −0.248631 | + | 0.143547i | −0.619137 | − | 0.785283i | \(-0.712517\pi\) |
0.370506 | + | 0.928830i | \(0.379184\pi\) | |||||||
\(588\) | −0.861095 | + | 0.497153i | −0.0355109 | + | 0.0205023i | ||||
\(589\) | −11.9471 | − | 20.6929i | −0.492270 | − | 0.852637i | ||||
\(590\) | −28.5759 | − | 3.24212i | −1.17645 | − | 0.133476i | ||||
\(591\) | 4.94856 | 0.203556 | ||||||||
\(592\) | 1.43025 | + | 0.825754i | 0.0587829 | + | 0.0339383i | ||||
\(593\) | −7.57682 | + | 4.37448i | −0.311143 | + | 0.179638i | −0.647438 | − | 0.762118i | \(-0.724159\pi\) |
0.336295 | + | 0.941757i | \(0.390826\pi\) | |||||||
\(594\) | −15.1361 | −0.621042 | ||||||||
\(595\) | −6.45483 | − | 4.77160i | −0.264622 | − | 0.195617i | ||||
\(596\) | −10.7137 | + | 18.5567i | −0.438850 | + | 0.760110i | ||||
\(597\) | −4.40015 | − | 2.54043i | −0.180086 | − | 0.103973i | ||||
\(598\) | 9.33409i | 0.381699i | ||||||||
\(599\) | −17.0382 | + | 29.5110i | −0.696161 | + | 1.20579i | 0.273627 | + | 0.961836i | \(0.411777\pi\) |
−0.969788 | + | 0.243950i | \(0.921557\pi\) | |||||||
\(600\) | −1.61248 | + | 1.73246i | −0.0658293 | + | 0.0707274i | ||||
\(601\) | −19.7856 | −0.807073 | −0.403537 | − | 0.914963i | \(-0.632219\pi\) | ||||
−0.403537 | + | 0.914963i | \(0.632219\pi\) | |||||||
\(602\) | 12.6579 | + | 15.2021i | 0.515896 | + | 0.619590i | ||||
\(603\) | − | 13.5655i | − | 0.552428i | ||||||
\(604\) | −8.25794 | −0.336011 | ||||||||
\(605\) | −4.95311 | + | 43.6565i | −0.201372 | + | 1.77489i | ||||
\(606\) | −5.90378 | −0.239824 | ||||||||
\(607\) | −0.383467 | − | 0.221395i | −0.0155644 | − | 0.00898613i | 0.492198 | − | 0.870484i | \(-0.336194\pi\) |
−0.507762 | + | 0.861497i | \(0.669527\pi\) | |||||||
\(608\) | −2.42256 | − | 1.39866i | −0.0982476 | − | 0.0567233i | ||||
\(609\) | 1.76132 | + | 3.05070i | 0.0713723 | + | 0.123620i | ||||
\(610\) | −4.14654 | − | 9.52406i | −0.167889 | − | 0.385618i | ||||
\(611\) | 5.70399 | + | 9.87961i | 0.230759 | + | 0.399686i | ||||
\(612\) | 2.86072 | + | 1.65164i | 0.115638 | + | 0.0667635i | ||||
\(613\) | 8.17424i | 0.330154i | 0.986281 | + | 0.165077i | \(0.0527873\pi\) | ||||
−0.986281 | + | 0.165077i | \(0.947213\pi\) | |||||||
\(614\) | −15.7788 | + | 27.3296i | −0.636779 | + | 1.10293i | ||||
\(615\) | 1.99104 | − | 2.69339i | 0.0802863 | − | 0.108608i | ||||
\(616\) | −8.35051 | − | 14.4635i | −0.336451 | − | 0.582751i | ||||
\(617\) | −26.4904 | + | 15.2942i | −1.06646 | + | 0.615722i | −0.927213 | − | 0.374535i | \(-0.877802\pi\) |
−0.139249 | + | 0.990257i | \(0.544469\pi\) | |||||||
\(618\) | 1.68211i | 0.0676644i | ||||||||
\(619\) | −13.1682 | − | 22.8080i | −0.529274 | − | 0.916730i | −0.999417 | − | 0.0341395i | \(-0.989131\pi\) |
0.470143 | − | 0.882590i | \(-0.344202\pi\) | |||||||
\(620\) | 15.3590 | + | 11.3538i | 0.616834 | + | 0.455981i | ||||
\(621\) | 11.3433 | − | 19.6471i | 0.455190 | − | 0.788412i | ||||
\(622\) | −6.25946 | − | 3.61390i | −0.250982 | − | 0.144904i | ||||
\(623\) | 17.8525i | 0.715245i | ||||||||
\(624\) | 0.532466 | 0.0213157 | ||||||||
\(625\) | 22.4906 | + | 10.9167i | 0.899622 | + | 0.436669i | ||||
\(626\) | −17.0978 | + | 29.6143i | −0.683366 | + | 1.18363i | ||||
\(627\) | 6.34841 | − | 3.66526i | 0.253531 | − | 0.146376i | ||||
\(628\) | −8.24025 | + | 4.75751i | −0.328822 | + | 0.189845i | ||||
\(629\) | 1.96524 | 0.0783593 | ||||||||
\(630\) | −15.0577 | − | 11.1311i | −0.599915 | − | 0.443475i | ||||
\(631\) | 17.4579 | + | 30.2380i | 0.694988 | + | 1.20375i | 0.970185 | + | 0.242366i | \(0.0779236\pi\) |
−0.275197 | + | 0.961388i | \(0.588743\pi\) | |||||||
\(632\) | −14.1994 | + | 8.19803i | −0.564822 | + | 0.326100i | ||||
\(633\) | −5.44275 | − | 3.14238i | −0.216330 | − | 0.124898i | ||||
\(634\) | 3.03458 | 0.120518 | ||||||||
\(635\) | −33.8537 | − | 3.84092i | −1.34344 | − | 0.152422i | ||||
\(636\) | 0.995944 | + | 1.72503i | 0.0394917 | + | 0.0684017i | ||||
\(637\) | − | 2.36291i | − | 0.0936218i | ||||||
\(638\) | −11.8274 | + | 6.82857i | −0.468252 | + | 0.270346i | ||||
\(639\) | −3.61097 | + | 6.25438i | −0.142848 | + | 0.247419i | ||||
\(640\) | 2.22181 | + | 0.252079i | 0.0878249 | + | 0.00996429i | ||||
\(641\) | −13.9632 | −0.551513 | −0.275756 | − | 0.961228i | \(-0.588928\pi\) | ||||
−0.275756 | + | 0.961228i | \(0.588928\pi\) | |||||||
\(642\) | −1.77172 | − | 1.02290i | −0.0699242 | − | 0.0403707i | ||||
\(643\) | 19.2130i | 0.757686i | 0.925461 | + | 0.378843i | \(0.123678\pi\) | ||||
−0.925461 | + | 0.378843i | \(0.876322\pi\) | |||||||
\(644\) | 25.0321 | 0.986403 | ||||||||
\(645\) | 3.11758 | − | 6.20111i | 0.122754 | − | 0.244169i | ||||
\(646\) | −3.32873 | −0.130967 | ||||||||
\(647\) | − | 45.1255i | − | 1.77407i | −0.461704 | − | 0.887034i | \(-0.652762\pi\) | ||
0.461704 | − | 0.887034i | \(-0.347238\pi\) | |||||||
\(648\) | 6.09133 | + | 3.51683i | 0.239290 | + | 0.138154i | ||||
\(649\) | −71.2035 | −2.79498 | ||||||||
\(650\) | −1.64952 | − | 5.37712i | −0.0646994 | − | 0.210908i | ||||
\(651\) | 6.09867 | − | 10.5632i | 0.239026 | − | 0.414005i | ||||
\(652\) | 2.46986 | − | 1.42597i | 0.0967272 | − | 0.0558455i | ||||
\(653\) | 20.7213i | 0.810886i | 0.914120 | + | 0.405443i | \(0.132883\pi\) | ||||
−0.914120 | + | 0.405443i | \(0.867117\pi\) | |||||||
\(654\) | −0.262007 | − | 0.453810i | −0.0102453 | − | 0.0177454i | ||||
\(655\) | 2.11320 | − | 18.6257i | 0.0825695 | − | 0.727765i | ||||
\(656\) | −3.16447 | −0.123552 | ||||||||
\(657\) | 25.2772 | + | 14.5938i | 0.986159 | + | 0.569359i | ||||
\(658\) | 26.4951 | − | 15.2969i | 1.03288 | − | 0.596336i | ||||
\(659\) | 13.2552 | + | 22.9586i | 0.516348 | + | 0.894342i | 0.999820 | + | 0.0189816i | \(0.00604239\pi\) |
−0.483471 | + | 0.875360i | \(0.660624\pi\) | |||||||
\(660\) | −3.48326 | + | 4.71202i | −0.135586 | + | 0.183415i | ||||
\(661\) | −26.2065 | −1.01931 | −0.509657 | − | 0.860377i | \(-0.670228\pi\) | ||||
−0.509657 | + | 0.860377i | \(0.670228\pi\) | |||||||
\(662\) | 26.3493 | − | 15.2128i | 1.02409 | − | 0.591261i | ||||
\(663\) | 0.548729 | − | 0.316809i | 0.0213109 | − | 0.0123038i | ||||
\(664\) | 7.10904 | − | 12.3132i | 0.275884 | − | 0.477845i | ||||
\(665\) | 18.7493 | + | 2.12723i | 0.727067 | + | 0.0824903i | ||||
\(666\) | 4.58449 | 0.177645 | ||||||||
\(667\) | − | 20.4698i | − | 0.792595i | ||||||
\(668\) | 8.23219 | + | 4.75286i | 0.318513 | + | 0.183894i | ||||
\(669\) | 2.33202 | − | 4.03917i | 0.0901610 | − | 0.156163i | ||||
\(670\) | −8.78700 | − | 6.49560i | −0.339471 | − | 0.250947i | ||||
\(671\) | −12.8590 | − | 22.2724i | −0.496416 | − | 0.859818i | ||||
\(672\) | − | 1.42796i | − | 0.0550849i | ||||||
\(673\) | −5.75058 | + | 3.32010i | −0.221669 | + | 0.127980i | −0.606723 | − | 0.794914i | \(-0.707516\pi\) |
0.385054 | + | 0.922894i | \(0.374183\pi\) | |||||||
\(674\) | −10.9076 | − | 18.8926i | −0.420146 | − | 0.727715i | ||||
\(675\) | −3.06252 | + | 13.3228i | −0.117877 | + | 0.512793i | ||||
\(676\) | 5.86731 | − | 10.1625i | 0.225666 | − | 0.390865i | ||||
\(677\) | 40.4324i | 1.55394i | 0.629536 | + | 0.776971i | \(0.283245\pi\) | ||||
−0.629536 | + | 0.776971i | \(0.716755\pi\) | |||||||
\(678\) | 5.84674 | + | 3.37562i | 0.224543 | + | 0.129640i | ||||
\(679\) | −14.5032 | − | 25.1202i | −0.556580 | − | 0.964025i | ||||
\(680\) | 2.43965 | − | 1.06216i | 0.0935565 | − | 0.0407322i | ||||
\(681\) | 2.16968 | + | 3.75800i | 0.0831423 | + | 0.144007i | ||||
\(682\) | 40.9531 | + | 23.6443i | 1.56818 | + | 0.905388i | ||||
\(683\) | 15.4812 | + | 8.93806i | 0.592371 | + | 0.342005i | 0.766034 | − | 0.642800i | \(-0.222227\pi\) |
−0.173664 | + | 0.984805i | \(0.555561\pi\) | |||||||
\(684\) | −7.76521 | −0.296910 | ||||||||
\(685\) | 19.9205 | + | 2.26010i | 0.761122 | + | 0.0863541i | ||||
\(686\) | 14.7802 | 0.564310 | ||||||||
\(687\) | 0.946171i | 0.0360987i | ||||||||
\(688\) | −6.46210 | + | 1.11413i | −0.246365 | + | 0.0424757i | ||||
\(689\) | −4.73360 | −0.180336 | ||||||||
\(690\) | −3.50593 | − | 8.05265i | −0.133468 | − | 0.306559i | ||||
\(691\) | 14.7809 | − | 25.6013i | 0.562292 | − | 0.973919i | −0.435003 | − | 0.900429i | \(-0.643253\pi\) |
0.997296 | − | 0.0734903i | \(-0.0234138\pi\) | |||||||
\(692\) | 21.9735i | 0.835305i | ||||||||
\(693\) | −40.1498 | − | 23.1805i | −1.52516 | − | 0.880554i | ||||
\(694\) | −11.6233 | + | 20.1322i | −0.441215 | + | 0.764206i | ||||
\(695\) | −7.46753 | − | 5.52022i | −0.283260 | − | 0.209394i | ||||
\(696\) | −1.16771 | −0.0442618 | ||||||||
\(697\) | −3.26112 | + | 1.88281i | −0.123524 | + | 0.0713165i | ||||
\(698\) | −1.56647 | − | 0.904403i | −0.0592918 | − | 0.0342321i | ||||
\(699\) | 1.01867 | 0.0385298 | ||||||||
\(700\) | −14.4203 | + | 4.42366i | −0.545037 | + | 0.167199i | ||||
\(701\) | 9.22602 | + | 15.9799i | 0.348462 | + | 0.603554i | 0.985976 | − | 0.166884i | \(-0.0533707\pi\) |
−0.637514 | + | 0.770438i | \(0.720037\pi\) | |||||||
\(702\) | 2.66346 | − | 1.53775i | 0.100526 | − | 0.0580385i | ||||
\(703\) | −4.00087 | + | 2.30991i | −0.150896 | + | 0.0871197i | ||||
\(704\) | 5.53616 | 0.208652 | ||||||||
\(705\) | −8.63174 | − | 6.38083i | −0.325090 | − | 0.240316i | ||||
\(706\) | −6.43394 | − | 11.1439i | −0.242145 | − | 0.419407i | ||||
\(707\) | −32.5846 | − | 18.8127i | −1.22547 | − | 0.707525i | ||||
\(708\) | −5.27238 | − | 3.04401i | −0.198148 | − | 0.114401i | ||||
\(709\) | 15.2114 | 0.571277 | 0.285638 | − | 0.958337i | \(-0.407794\pi\) | ||||
0.285638 | + | 0.958337i | \(0.407794\pi\) | |||||||
\(710\) | 2.32221 | + | 5.33380i | 0.0871508 | + | 0.200174i | ||||
\(711\) | −22.7572 | + | 39.4167i | −0.853463 | + | 1.47824i | ||||
\(712\) | −5.12502 | − | 2.95893i | −0.192068 | − | 0.110891i | ||||
\(713\) | −61.3821 | + | 35.4390i | −2.29878 | + | 1.32720i | ||||
\(714\) | −0.849615 | − | 1.47158i | −0.0317960 | − | 0.0550724i | ||||
\(715\) | −5.55872 | − | 12.7677i | −0.207884 | − | 0.477483i | ||||
\(716\) | 4.75905 | + | 8.24292i | 0.177854 | + | 0.308052i | ||||
\(717\) | −3.88274 | + | 2.24170i | −0.145004 | + | 0.0837180i | ||||
\(718\) | 0.906013 | − | 0.523087i | 0.0338121 | − | 0.0195214i | ||||
\(719\) | 24.0473 | − | 41.6511i | 0.896812 | − | 1.55332i | 0.0652651 | − | 0.997868i | \(-0.479211\pi\) |
0.831546 | − | 0.555455i | \(-0.187456\pi\) | |||||||
\(720\) | 5.69119 | − | 2.47780i | 0.212098 | − | 0.0923423i | ||||
\(721\) | −5.36014 | + | 9.28403i | −0.199622 | + | 0.345755i | ||||
\(722\) | −9.67780 | + | 5.58748i | −0.360170 | + | 0.207945i | ||||
\(723\) | − | 10.4630i | − | 0.389122i | ||||||
\(724\) | −6.20740 | − | 10.7515i | −0.230696 | − | 0.399577i | ||||
\(725\) | 3.61742 | + | 11.7921i | 0.134348 | + | 0.437948i | ||||
\(726\) | −4.65044 | + | 8.05480i | −0.172594 | + | 0.298942i | ||||
\(727\) | − | 21.4428i | − | 0.795270i | −0.917544 | − | 0.397635i | \(-0.869831\pi\) | ||
0.917544 | − | 0.397635i | \(-0.130169\pi\) | |||||||
\(728\) | 2.93883 | + | 1.69673i | 0.108920 | + | 0.0628851i | ||||
\(729\) | 15.6425 | 0.579353 | ||||||||
\(730\) | 21.5567 | − | 9.38525i | 0.797849 | − | 0.347364i | ||||
\(731\) | −5.99658 | + | 4.99300i | −0.221791 | + | 0.184673i | ||||
\(732\) | − | 2.19893i | − | 0.0812749i | ||||||
\(733\) | − | 37.2419i | − | 1.37556i | −0.725918 | − | 0.687781i | \(-0.758585\pi\) | ||
0.725918 | − | 0.687781i | \(-0.241415\pi\) | |||||||
\(734\) | 11.7540 | − | 20.3585i | 0.433848 | − | 0.751447i | ||||
\(735\) | 0.887518 | + | 2.03851i | 0.0327366 | + | 0.0751917i | ||||
\(736\) | −4.14890 | + | 7.18610i | −0.152930 | + | 0.264883i | ||||
\(737\) | −23.4295 | − | 13.5271i | −0.863038 | − | 0.498275i | ||||
\(738\) | −7.60750 | + | 4.39219i | −0.280036 | + | 0.161679i | ||||
\(739\) | −47.6023 | −1.75108 | −0.875539 | − | 0.483147i | \(-0.839494\pi\) | ||||
−0.875539 | + | 0.483147i | \(0.839494\pi\) | |||||||
\(740\) | 2.19521 | − | 2.96959i | 0.0806975 | − | 0.109164i | ||||
\(741\) | −0.744741 | + | 1.28993i | −0.0273587 | + | 0.0473867i | ||||
\(742\) | 12.6945i | 0.466030i | ||||||||
\(743\) | 14.1225 | + | 8.15366i | 0.518106 | + | 0.299129i | 0.736159 | − | 0.676808i | \(-0.236637\pi\) |
−0.218053 | + | 0.975937i | \(0.569971\pi\) | |||||||
\(744\) | 2.02163 | + | 3.50156i | 0.0741165 | + | 0.128373i | ||||
\(745\) | 38.5287 | + | 28.4816i | 1.41158 | + | 1.04348i | ||||
\(746\) | 6.99010 | + | 12.1072i | 0.255926 | + | 0.443277i | ||||
\(747\) | − | 39.4685i | − | 1.44408i | ||||||
\(748\) | 5.70524 | − | 3.29392i | 0.208604 | − | 0.120438i | ||||
\(749\) | −6.51907 | − | 11.2914i | −0.238202 | − | 0.412577i | ||||
\(750\) | 3.44273 | + | 4.01935i | 0.125711 | + | 0.146766i | ||||
\(751\) | −0.583880 | + | 1.01131i | −0.0213061 | + | 0.0369032i | −0.876482 | − | 0.481435i | \(-0.840116\pi\) |
0.855176 | + | 0.518338i | \(0.173449\pi\) | |||||||
\(752\) | 10.1414i | 0.369820i | ||||||||
\(753\) | − | 4.24635i | − | 0.154746i | ||||||
\(754\) | 1.38749 | − | 2.40321i | 0.0505295 | − | 0.0875196i | ||||
\(755\) | −2.08165 | + | 18.3476i | −0.0757591 | + | 0.667738i | ||||
\(756\) | −4.12392 | − | 7.14283i | −0.149985 | − | 0.259782i | ||||
\(757\) | 27.4820 | − | 15.8668i | 0.998852 | − | 0.576687i | 0.0909434 | − | 0.995856i | \(-0.471012\pi\) |
0.907908 | + | 0.419169i | \(0.137678\pi\) | |||||||
\(758\) | − | 22.1503i | − | 0.804534i | ||||||
\(759\) | −10.8724 | − | 18.8315i | −0.394642 | − | 0.683540i | ||||
\(760\) | −3.71824 | + | 5.02989i | −0.134875 | + | 0.182453i | ||||
\(761\) | 4.88846 | + | 8.46707i | 0.177207 | + | 0.306931i | 0.940923 | − | 0.338621i | \(-0.109961\pi\) |
−0.763716 | + | 0.645552i | \(0.776627\pi\) | |||||||
\(762\) | −6.24615 | − | 3.60621i | −0.226274 | − | 0.130639i | ||||
\(763\) | − | 3.33960i | − | 0.120902i | ||||||
\(764\) | 6.35330 | − | 11.0042i | 0.229854 | − | 0.398119i | ||||
\(765\) | 4.39076 | − | 5.93965i | 0.158748 | − | 0.214748i | ||||
\(766\) | −30.3600 | −1.09695 | ||||||||
\(767\) | 12.5295 | − | 7.23389i | 0.452413 | − | 0.261201i | ||||
\(768\) | 0.409934 | + | 0.236675i | 0.0147922 | + | 0.00854028i | ||||
\(769\) | 14.3956 | − | 24.9340i | 0.519120 | − | 0.899142i | −0.480633 | − | 0.876922i | \(-0.659593\pi\) |
0.999753 | − | 0.0222205i | \(-0.00707360\pi\) | |||||||
\(770\) | −34.2402 | + | 14.9073i | −1.23393 | + | 0.537223i | ||||
\(771\) | −7.26135 | + | 12.5770i | −0.261511 | + | 0.452950i | ||||
\(772\) | − | 3.44388i | − | 0.123948i | ||||||
\(773\) | − | 38.5555i | − | 1.38674i | −0.720580 | − | 0.693372i | \(-0.756124\pi\) | ||
0.720580 | − | 0.693372i | \(-0.243876\pi\) | |||||||
\(774\) | −13.9887 | + | 11.6476i | −0.502815 | + | 0.418664i | ||||
\(775\) | 29.0978 | − | 31.2629i | 1.04522 | − | 1.12299i | ||||
\(776\) | 9.61520 | 0.345166 | ||||||||
\(777\) | −2.04234 | − | 1.17915i | −0.0732687 | − | 0.0423017i | ||||
\(778\) | 16.6403i | 0.596582i | ||||||||
\(779\) | 4.42603 | − | 7.66611i | 0.158579 | − | 0.274667i | ||||
\(780\) | 0.134223 | − | 1.18304i | 0.00480597 | − | 0.0423597i | ||||
\(781\) | 7.20149 | + | 12.4733i | 0.257689 | + | 0.446331i | ||||
\(782\) | 9.87411i | 0.353097i | ||||||||
\(783\) | −5.84100 | + | 3.37230i | −0.208740 | + | 0.120516i | ||||
\(784\) | 1.05029 | − | 1.81915i | 0.0375102 | − | 0.0649696i | ||||
\(785\) | 8.49311 | + | 19.5076i | 0.303132 | + | 0.696255i | ||||
\(786\) | 1.98407 | − | 3.43651i | 0.0707694 | − | 0.122576i | ||||
\(787\) | −13.3338 | + | 7.69827i | −0.475298 | + | 0.274414i | −0.718455 | − | 0.695573i | \(-0.755150\pi\) |
0.243157 | + | 0.969987i | \(0.421817\pi\) | |||||||
\(788\) | −9.05370 | + | 5.22716i | −0.322525 | + | 0.186210i | ||||
\(789\) | −4.34592 | − | 7.52735i | −0.154719 | − | 0.267981i | ||||
\(790\) | 14.6351 | + | 33.6150i | 0.520694 | + | 1.19597i | ||||
\(791\) | 21.5132 | + | 37.2619i | 0.764920 | + | 1.32488i | ||||
\(792\) | 13.3091 | − | 7.68402i | 0.472919 | − | 0.273040i | ||||
\(793\) | 4.52552 | + | 2.61281i | 0.160706 | + | 0.0927837i | ||||
\(794\) | −6.34255 | + | 10.9856i | −0.225089 | + | 0.389865i | ||||
\(795\) | 4.08374 | − | 1.77796i | 0.144835 | − | 0.0630577i | ||||
\(796\) | 10.7338 | 0.380450 | ||||||||
\(797\) | 24.7674 | + | 14.2995i | 0.877306 | + | 0.506513i | 0.869769 | − | 0.493459i | \(-0.164268\pi\) |
0.00753700 | + | 0.999972i | \(0.497601\pi\) | |||||||
\(798\) | 3.45932 | + | 1.99724i | 0.122459 | + | 0.0707016i | ||||
\(799\) | 6.03399 | + | 10.4512i | 0.213467 | + | 0.369736i | ||||
\(800\) | 1.12014 | − | 4.87291i | 0.0396031 | − | 0.172283i | ||||
\(801\) | −16.4276 | −0.580441 | ||||||||
\(802\) | −21.5301 | + | 12.4304i | −0.760255 | + | 0.438934i | ||||
\(803\) | 50.4113 | − | 29.1050i | 1.77898 | − | 1.02709i | ||||
\(804\) | −1.15659 | − | 2.00326i | −0.0407896 | − | 0.0706497i | ||||
\(805\) | 6.31006 | − | 55.6166i | 0.222400 | − | 1.96023i | ||||
\(806\) | −9.60854 | −0.338446 | ||||||||
\(807\) | −7.64862 | − | 4.41593i | −0.269244 | − | 0.155448i | ||||
\(808\) | 10.8013 | − | 6.23616i | 0.379990 | − | 0.219387i | ||||
\(809\) | 46.6914 | 1.64158 | 0.820792 | − | 0.571228i | \(-0.193533\pi\) | ||||
0.820792 | + | 0.571228i | \(0.193533\pi\) | |||||||
\(810\) | 9.34923 | − | 12.6473i | 0.328499 | − | 0.444380i | ||||
\(811\) | −7.79391 | + | 13.4994i | −0.273681 | + | 0.474030i | −0.969802 | − | 0.243895i | \(-0.921575\pi\) |
0.696120 | + | 0.717925i | \(0.254908\pi\) | |||||||
\(812\) | −6.44490 | − | 3.72096i | −0.226172 | − | 0.130580i | ||||
\(813\) | − | 0.731868i | − | 0.0256677i | ||||||
\(814\) | 4.57151 | − | 7.91808i | 0.160231 | − | 0.277529i | ||||
\(815\) | −2.54565 | − | 5.84703i | −0.0891703 | − | 0.204812i | ||||
\(816\) | 0.563272 | 0.0197184 | ||||||||
\(817\) | 6.33927 | − | 17.2131i | 0.221783 | − | 0.602210i | ||||
\(818\) | 7.76515i | 0.271502i | ||||||||
\(819\) | 9.42006 | 0.329163 | ||||||||
\(820\) | −0.797696 | + | 7.03087i | −0.0278568 | + | 0.245529i | ||||
\(821\) | −8.41117 | −0.293552 | −0.146776 | − | 0.989170i | \(-0.546890\pi\) | ||||
−0.146776 | + | 0.989170i | \(0.546890\pi\) | |||||||
\(822\) | 3.67541 | + | 2.12200i | 0.128195 | + | 0.0740132i | ||||
\(823\) | −1.28252 | − | 0.740463i | −0.0447058 | − | 0.0258109i | 0.477481 | − | 0.878642i | \(-0.341550\pi\) |
−0.522186 | + | 0.852831i | \(0.674883\pi\) | |||||||
\(824\) | −1.77681 | − | 3.07753i | −0.0618982 | − | 0.107211i | ||||
\(825\) | 9.59117 | + | 8.92696i | 0.333922 | + | 0.310797i | ||||
\(826\) | −19.3998 | − | 33.6014i | −0.675005 | − | 1.16914i | ||||
\(827\) | −22.3413 | − | 12.8988i | −0.776884 | − | 0.448534i | 0.0584408 | − | 0.998291i | \(-0.481387\pi\) |
−0.835325 | + | 0.549757i | \(0.814720\pi\) | |||||||
\(828\) | 23.0342i | 0.800493i | ||||||||
\(829\) | −4.94868 | + | 8.57137i | −0.171875 | + | 0.297696i | −0.939075 | − | 0.343711i | \(-0.888316\pi\) |
0.767200 | + | 0.641407i | \(0.221649\pi\) | |||||||
\(830\) | −25.5656 | − | 18.8989i | −0.887396 | − | 0.655989i | ||||
\(831\) | 3.20375 | + | 5.54905i | 0.111137 | + | 0.192495i | ||||
\(832\) | −0.974182 | + | 0.562444i | −0.0337737 | + | 0.0194992i | ||||
\(833\) | − | 2.49961i | − | 0.0866064i | ||||||
\(834\) | −0.982911 | − | 1.70245i | −0.0340354 | − | 0.0589511i | ||||
\(835\) | 12.6351 | − | 17.0923i | 0.437256 | − | 0.591503i | ||||
\(836\) | −7.74322 | + | 13.4117i | −0.267805 | + | 0.463852i | ||||
\(837\) | 20.2248 | + | 11.6768i | 0.699072 | + | 0.403609i | ||||
\(838\) | 6.07911i | 0.209999i | ||||||||
\(839\) | 47.4992 | 1.63985 | 0.819927 | − | 0.572468i | \(-0.194014\pi\) | ||||
0.819927 | + | 0.572468i | \(0.194014\pi\) | |||||||
\(840\) | −3.17267 | − | 0.359959i | −0.109468 | − | 0.0124198i | ||||
\(841\) | 11.4572 | − | 19.8445i | 0.395076 | − | 0.684292i | ||||
\(842\) | 5.02096 | − | 2.89885i | 0.173034 | − | 0.0999011i | ||||
\(843\) | 6.42538 | − | 3.70969i | 0.221302 | − | 0.127769i | ||||
\(844\) | 13.2772 | 0.457019 | ||||||||
\(845\) | −21.1001 | − | 15.5978i | −0.725866 | − | 0.536581i | ||||
\(846\) | 14.0760 | + | 24.3804i | 0.483943 | + | 0.838215i | ||||
\(847\) | −51.3342 | + | 29.6378i | −1.76386 | + | 1.01837i | ||||
\(848\) | −3.64429 | − | 2.10403i | −0.125145 | − | 0.0722527i | ||||
\(849\) | −6.36952 | −0.218601 | ||||||||
\(850\) | −1.74495 | − | 5.68821i | −0.0598512 | − | 0.195104i | ||||
\(851\) | 6.85194 | + | 11.8679i | 0.234882 | + | 0.406827i | ||||
\(852\) | 1.23148i | 0.0421897i | ||||||||
\(853\) | −14.6291 | + | 8.44609i | −0.500889 | + | 0.289189i | −0.729081 | − | 0.684428i | \(-0.760052\pi\) |
0.228191 | + | 0.973616i | \(0.426719\pi\) | |||||||
\(854\) | 7.00702 | − | 12.1365i | 0.239775 | − | 0.415303i | ||||
\(855\) | −1.95744 | + | 17.2528i | −0.0669432 | + | 0.590035i | ||||
\(856\) | 4.32197 | 0.147722 | ||||||||
\(857\) | 7.39946 | + | 4.27208i | 0.252761 | + | 0.145932i | 0.621028 | − | 0.783789i | \(-0.286715\pi\) |
−0.368267 | + | 0.929720i | \(0.620049\pi\) | |||||||
\(858\) | − | 2.94782i | − | 0.100637i | ||||||
\(859\) | 27.2796 | 0.930767 | 0.465384 | − | 0.885109i | \(-0.345916\pi\) | ||||
0.465384 | + | 0.885109i | \(0.345916\pi\) | |||||||
\(860\) | 0.846423 | + | 14.6384i | 0.0288628 | + | 0.499166i | ||||
\(861\) | 4.51875 | 0.153999 | ||||||||
\(862\) | − | 14.1449i | − | 0.481778i | ||||||
\(863\) | 37.3267 | + | 21.5506i | 1.27062 | + | 0.733591i | 0.975104 | − | 0.221748i | \(-0.0711763\pi\) |
0.295512 | + | 0.955339i | \(0.404510\pi\) | |||||||
\(864\) | 2.73404 | 0.0930141 | ||||||||
\(865\) | 48.8209 | + | 5.53904i | 1.65996 | + | 0.188333i | ||||
\(866\) | 12.0745 | − | 20.9137i | 0.410308 | − | 0.710675i | ||||
\(867\) | −6.38840 | + | 3.68834i | −0.216961 | + | 0.125263i | ||||
\(868\) | 25.7681i | 0.874627i | ||||||||
\(869\) | 45.3856 | + | 78.6101i | 1.53960 | + | 2.66667i | ||||
\(870\) | −0.294354 | + | 2.59443i | −0.00997955 | + | 0.0879594i | ||||
\(871\) | 5.49710 | 0.186262 | ||||||||
\(872\) | 0.958718 | + | 0.553516i | 0.0324663 | + | 0.0187444i | ||||
\(873\) | 23.1153 | − | 13.3456i | 0.782333 | − | 0.451680i | ||||
\(874\) | −11.6058 | − | 20.1019i | −0.392573 | − | 0.679956i | ||||
\(875\) | 6.19349 | + | 33.1544i | 0.209378 | + | 1.12082i | ||||
\(876\) | 4.97705 | 0.168159 | ||||||||
\(877\) | 2.13270 | − | 1.23131i | 0.0720160 | − | 0.0415785i | −0.463560 | − | 0.886066i | \(-0.653428\pi\) |
0.535576 | + | 0.844487i | \(0.320095\pi\) | |||||||
\(878\) | 6.89011 | − | 3.97801i | 0.232530 | − | 0.134251i | ||||
\(879\) | −1.84780 | + | 3.20048i | −0.0623246 | + | 0.107949i | ||||
\(880\) | 1.39555 | − | 12.3003i | 0.0470439 | − | 0.414643i | ||||
\(881\) | 6.57408 | 0.221487 | 0.110743 | − | 0.993849i | \(-0.464677\pi\) | ||||
0.110743 | + | 0.993849i | \(0.464677\pi\) | |||||||
\(882\) | − | 5.83106i | − | 0.196342i | ||||||
\(883\) | 42.5711 | + | 24.5785i | 1.43263 | + | 0.827131i | 0.997321 | − | 0.0731488i | \(-0.0233048\pi\) |
0.435312 | + | 0.900280i | \(0.356638\pi\) | |||||||
\(884\) | −0.669290 | + | 1.15924i | −0.0225107 | + | 0.0389896i | ||||
\(885\) | −8.09227 | + | 10.9469i | −0.272019 | + | 0.367976i | ||||
\(886\) | 18.6485 | + | 32.3001i | 0.626509 | + | 1.08514i | ||||
\(887\) | − | 4.94312i | − | 0.165974i | −0.996551 | − | 0.0829869i | \(-0.973554\pi\) | ||
0.996551 | − | 0.0829869i | \(-0.0264460\pi\) | |||||||
\(888\) | 0.677009 | − | 0.390871i | 0.0227189 | − | 0.0131168i | ||||
\(889\) | −22.9828 | − | 39.8074i | −0.770818 | − | 1.33510i | ||||
\(890\) | −7.86610 | + | 10.6409i | −0.263672 | + | 0.356685i | ||||
\(891\) | 19.4697 | − | 33.7225i | 0.652260 | − | 1.12975i | ||||
\(892\) | 9.85323i | 0.329911i | ||||||||
\(893\) | −24.5682 | − | 14.1845i | −0.822144 | − | 0.474665i | ||||
\(894\) | 5.07133 | + | 8.78380i | 0.169611 | + | 0.293774i | ||||
\(895\) | 19.5139 | − | 8.49586i | 0.652278 | − | 0.283985i | ||||
\(896\) | 1.50836 | + | 2.61255i | 0.0503907 | + | 0.0872792i | ||||
\(897\) | 3.82636 | + | 2.20915i | 0.127758 | + | 0.0737613i | ||||
\(898\) | −35.1561 | − | 20.2974i | −1.17317 | − | 0.677332i | ||||
\(899\) | 21.0717 | 0.702780 | ||||||||
\(900\) | −4.07059 | − | 13.2694i | −0.135686 | − | 0.442312i | ||||
\(901\) | −5.00745 | −0.166822 | ||||||||
\(902\) | 17.5190i | 0.583320i | ||||||||
\(903\) | 9.22764 | − | 1.59093i | 0.307077 | − | 0.0529429i | ||||
\(904\) | −14.2626 | −0.474369 | ||||||||
\(905\) | −25.4526 | + | 11.0814i | −0.846075 | + | 0.368360i | ||||
\(906\) | −1.95445 | + | 3.38521i | −0.0649323 | + | 0.112466i | ||||
\(907\) | − | 0.0456181i | − | 0.00151473i | −1.00000 | 0.000757363i | \(-0.999759\pi\) | |||
1.00000 | 0.000757363i | \(-0.000241076\pi\) | ||||||||
\(908\) | −7.93914 | − | 4.58366i | −0.263470 | − | 0.152114i | ||||
\(909\) | 17.3112 | − | 29.9839i | 0.574176 | − | 0.994502i | ||||
\(910\) | 4.51064 | − | 6.10182i | 0.149526 | − | 0.202273i | ||||
\(911\) | −28.8673 | −0.956415 | −0.478207 | − | 0.878247i | \(-0.658713\pi\) | ||||
−0.478207 | + | 0.878247i | \(0.658713\pi\) | |||||||
\(912\) | −1.14672 | + | 0.662058i | −0.0379716 | + | 0.0219229i | ||||
\(913\) | −68.1679 | − | 39.3568i | −2.25603 | − | 1.30252i | ||||
\(914\) | −17.8329 | −0.589860 | ||||||||
\(915\) | −4.88562 | − | 0.554304i | −0.161514 | − | 0.0183247i | ||||
\(916\) | −0.999440 | − | 1.73108i | −0.0330224 | − | 0.0571965i | ||||
\(917\) | 21.9012 | − | 12.6447i | 0.723243 | − | 0.417564i | ||||
\(918\) | 2.81755 | − | 1.62671i | 0.0929929 | − | 0.0536895i | ||||
\(919\) | 41.4557 | 1.36750 | 0.683749 | − | 0.729718i | \(-0.260348\pi\) | ||||
0.683749 | + | 0.729718i | \(0.260348\pi\) | |||||||
\(920\) | 14.9203 | + | 11.0295i | 0.491909 | + | 0.363633i | ||||
\(921\) | 7.46888 | + | 12.9365i | 0.246108 | + | 0.426272i | ||||
\(922\) | 15.9648 | + | 9.21727i | 0.525772 | + | 0.303555i | ||||
\(923\) | −2.53445 | − | 1.46327i | −0.0834224 | − | 0.0481640i | ||||
\(924\) | −7.90543 | −0.260070 | ||||||||
\(925\) | −6.04451 | − | 5.62591i | −0.198742 | − | 0.184979i | ||||
\(926\) | −15.3945 | + | 26.6641i | −0.505895 | + | 0.876235i | ||||
\(927\) | −8.54304 | − | 4.93233i | −0.280590 | − | 0.161999i | ||||
\(928\) | 2.13640 | − | 1.23345i | 0.0701307 | − | 0.0404900i | ||||
\(929\) | 21.2615 | + | 36.8261i | 0.697568 | + | 1.20822i | 0.969307 | + | 0.245853i | \(0.0790679\pi\) |
−0.271739 | + | 0.962371i | \(0.587599\pi\) | |||||||
\(930\) | 8.28943 | − | 3.60901i | 0.271821 | − | 0.118344i | ||||
\(931\) | 2.93799 | + | 5.08875i | 0.0962888 | + | 0.166777i | ||||
\(932\) | −1.86373 | + | 1.07602i | −0.0610484 | + | 0.0352463i | ||||
\(933\) | −2.96292 | + | 1.71064i | −0.0970017 | + | 0.0560039i | ||||
\(934\) | −7.11744 | + | 12.3278i | −0.232890 | + | 0.403377i | ||||
\(935\) | −5.88031 | − | 13.5063i | −0.192307 | − | 0.441704i | ||||
\(936\) | −1.56131 | + | 2.70427i | −0.0510330 | + | 0.0883918i | ||||
\(937\) | 2.15854 | − | 1.24624i | 0.0705166 | − | 0.0407128i | −0.464327 | − | 0.885664i | \(-0.653704\pi\) |
0.534844 | + | 0.844951i | \(0.320370\pi\) | |||||||
\(938\) | − | 14.7421i | − | 0.481346i | ||||||
\(939\) | 8.09326 | + | 14.0179i | 0.264114 | + | 0.457458i | ||||
\(940\) | 22.5324 | + | 2.55644i | 0.734926 | + | 0.0833820i | ||||
\(941\) | 1.51169 | − | 2.61833i | 0.0492798 | − | 0.0853551i | −0.840333 | − | 0.542070i | \(-0.817641\pi\) |
0.889613 | + | 0.456715i | \(0.150974\pi\) | |||||||
\(942\) | 4.50394i | 0.146746i | ||||||||
\(943\) | −22.7402 | − | 13.1291i | −0.740524 | − | 0.427542i | ||||
\(944\) | 12.8615 | 0.418607 | ||||||||
\(945\) | −16.9096 | + | 7.36202i | −0.550069 | + | 0.239486i | ||||
\(946\) | 6.16798 | + | 35.7752i | 0.200538 | + | 1.16315i | ||||
\(947\) | 14.6448i | 0.475891i | 0.971278 | + | 0.237946i | \(0.0764740\pi\) | ||||
−0.971278 | + | 0.237946i | \(0.923526\pi\) | |||||||
\(948\) | 7.76108i | 0.252068i | ||||||||
\(949\) | −5.91382 | + | 10.2430i | −0.191971 | + | 0.332503i | ||||
\(950\) | 10.2382 | + | 9.52918i | 0.332171 | + | 0.309167i | ||||
\(951\) | 0.718209 | − | 1.24397i | 0.0232895 | − | 0.0403387i | ||||
\(952\) | 3.10885 | + | 1.79490i | 0.100758 | + | 0.0581729i | ||||
\(953\) | −14.2159 | + | 8.20758i | −0.460499 | + | 0.265870i | −0.712254 | − | 0.701922i | \(-0.752326\pi\) |
0.251755 | + | 0.967791i | \(0.418992\pi\) | |||||||
\(954\) | −11.6813 | −0.378197 | ||||||||
\(955\) | −22.8478 | − | 16.8898i | −0.739338 | − | 0.546541i | ||||
\(956\) | 4.73582 | − | 8.20268i | 0.153167 | − | 0.265294i | ||||
\(957\) | 6.46461i | 0.208971i | ||||||||
\(958\) | 0.632641 | + | 0.365255i | 0.0204397 | + | 0.0118009i | ||||
\(959\) | 13.5237 | + | 23.4238i | 0.436704 | + | 0.756393i | ||||
\(960\) | 0.629184 | − | 0.851135i | 0.0203068 | − | 0.0274703i | ||||
\(961\) | −20.9810 | − | 36.3401i | −0.676806 | − | 1.17226i | ||||
\(962\) | 1.85776i | 0.0598967i | ||||||||
\(963\) | 10.3902 | − | 5.99876i | 0.334818 | − | 0.193307i | ||||
\(964\) | 11.0520 | + | 19.1427i | 0.355962 | + | 0.616544i | ||||
\(965\) | −7.65167 | − | 0.868130i | −0.246316 | − | 0.0279461i | ||||
\(966\) | 5.92448 | − | 10.2615i | 0.190617 | − | 0.330158i | ||||
\(967\) | 51.3060i | 1.64989i | 0.565214 | + | 0.824944i | \(0.308794\pi\) | ||||
−0.565214 | + | 0.824944i | \(0.691206\pi\) | |||||||
\(968\) | − | 19.6490i | − | 0.631544i | ||||||
\(969\) | −0.787827 | + | 1.36456i | −0.0253087 | + | 0.0438359i | ||||
\(970\) | 2.42379 | − | 21.3632i | 0.0778232 | − | 0.685931i | ||||
\(971\) | −8.20374 | − | 14.2093i | −0.263271 | − | 0.455998i | 0.703839 | − | 0.710360i | \(-0.251468\pi\) |
−0.967109 | + | 0.254362i | \(0.918135\pi\) | |||||||
\(972\) | 9.98659 | − | 5.76576i | 0.320320 | − | 0.184937i | ||||
\(973\) | − | 12.5284i | − | 0.401642i | ||||||
\(974\) | −12.4236 | − | 21.5183i | −0.398077 | − | 0.689490i | ||||
\(975\) | −2.59466 | − | 0.596439i | −0.0830957 | − | 0.0191013i | ||||
\(976\) | 2.32273 | + | 4.02309i | 0.0743488 | + | 0.128776i | ||||
\(977\) | −13.2743 | − | 7.66391i | −0.424682 | − | 0.245190i | 0.272397 | − | 0.962185i | \(-0.412184\pi\) |
−0.697078 | + | 0.716995i | \(0.745517\pi\) | |||||||
\(978\) | − | 1.34997i | − | 0.0431673i | ||||||
\(979\) | −16.3811 | + | 28.3729i | −0.523542 | + | 0.906802i | ||||
\(980\) | −3.77705 | − | 2.79211i | −0.120654 | − | 0.0891906i | ||||
\(981\) | 3.07305 | 0.0981151 | ||||||||
\(982\) | −19.8225 | + | 11.4445i | −0.632560 | + | 0.365209i | ||||
\(983\) | 7.46657 | + | 4.31082i | 0.238147 | + | 0.137494i | 0.614325 | − | 0.789053i | \(-0.289429\pi\) |
−0.376178 | + | 0.926547i | \(0.622762\pi\) | |||||||
\(984\) | −0.748952 | + | 1.29722i | −0.0238757 | + | 0.0413540i | ||||
\(985\) | 9.33152 | + | 21.4333i | 0.297327 | + | 0.682922i | ||||
\(986\) | 1.46776 | − | 2.54224i | 0.0467431 | − | 0.0809615i | ||||
\(987\) | − | 14.4816i | − | 0.460955i | ||||||
\(988\) | − | 3.14668i | − | 0.100109i | ||||||
\(989\) | −51.0597 | − | 18.8044i | −1.62360 | − | 0.597944i | ||||
\(990\) | −13.7175 | − | 31.5073i | −0.435971 | − | 1.00137i | ||||
\(991\) | 18.9665 | 0.602492 | 0.301246 | − | 0.953546i | \(-0.402597\pi\) | ||||
0.301246 | + | 0.953546i | \(0.402597\pi\) | |||||||
\(992\) | −7.39740 | − | 4.27089i | −0.234868 | − | 0.135601i | ||||
\(993\) | − | 14.4020i | − | 0.457032i | ||||||
\(994\) | −3.92417 | + | 6.79687i | −0.124467 | + | 0.215583i | ||||
\(995\) | 2.70577 | − | 23.8485i | 0.0857786 | − | 0.756050i | ||||
\(996\) | −3.36507 | − | 5.82847i | −0.106626 | − | 0.184682i | ||||
\(997\) | 16.4058i | 0.519576i | 0.965666 | + | 0.259788i | \(0.0836527\pi\) | ||||
−0.965666 | + | 0.259788i | \(0.916347\pi\) | |||||||
\(998\) | 5.50916 | − | 3.18071i | 0.174389 | − | 0.100684i | ||||
\(999\) | 2.25765 | − | 3.91036i | 0.0714289 | − | 0.123718i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 430.2.j.a.49.19 | yes | 44 | |
5.4 | even | 2 | inner | 430.2.j.a.49.4 | ✓ | 44 | |
43.36 | even | 3 | inner | 430.2.j.a.79.15 | yes | 44 | |
215.79 | even | 6 | inner | 430.2.j.a.79.8 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.j.a.49.4 | ✓ | 44 | 5.4 | even | 2 | inner | |
430.2.j.a.49.19 | yes | 44 | 1.1 | even | 1 | trivial | |
430.2.j.a.79.8 | yes | 44 | 215.79 | even | 6 | inner | |
430.2.j.a.79.15 | yes | 44 | 43.36 | even | 3 | inner |