Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [847,2,Mod(23,847)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(847, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("847.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 847 = 7 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 847.u (of order \(33\), degree \(20\), 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: | \(6.76332905120\) |
Analytic rank: | \(0\) |
Dimension: | \(1720\) |
Relative dimension: | \(86\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 23.18 | ||
Character | \(\chi\) | \(=\) | 847.23 |
Dual form | 847.2.u.a.221.18 |
$q$-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 \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(365\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06888 | − | 1.50103i | −0.755811 | − | 1.06139i | −0.995884 | − | 0.0906329i | \(-0.971111\pi\) |
0.240074 | − | 0.970755i | \(-0.422828\pi\) | |||||||
\(3\) | −1.66808 | − | 2.88919i | −0.963065 | − | 1.66808i | −0.714727 | − | 0.699404i | \(-0.753449\pi\) |
−0.248338 | − | 0.968674i | \(-0.579884\pi\) | |||||||
\(4\) | −0.456452 | + | 1.31883i | −0.228226 | + | 0.659415i | ||||
\(5\) | 1.17953 | − | 1.12468i | 0.527504 | − | 0.502974i | −0.378871 | − | 0.925450i | \(-0.623687\pi\) |
0.906374 | + | 0.422476i | \(0.138839\pi\) | |||||||
\(6\) | −2.55379 | + | 5.59203i | −1.04258 | + | 2.28294i | ||||
\(7\) | −0.367949 | + | 2.62004i | −0.139072 | + | 0.990282i | ||||
\(8\) | −1.06864 | + | 0.313782i | −0.377823 | + | 0.110939i | ||||
\(9\) | −4.06496 | + | 7.04072i | −1.35499 | + | 2.34691i | ||||
\(10\) | −2.94896 | − | 0.568365i | −0.932543 | − | 0.179733i | ||||
\(11\) | −1.76068 | − | 2.81070i | −0.530864 | − | 0.847457i | ||||
\(12\) | 4.57175 | − | 0.881133i | 1.31975 | − | 0.254361i | ||||
\(13\) | −2.34623 | − | 2.70769i | −0.650727 | − | 0.750979i | 0.330506 | − | 0.943804i | \(-0.392781\pi\) |
−0.981233 | + | 0.192825i | \(0.938235\pi\) | |||||||
\(14\) | 4.32605 | − | 2.24820i | 1.15619 | − | 0.600857i | ||||
\(15\) | −5.21698 | − | 1.53184i | −1.34702 | − | 0.395520i | ||||
\(16\) | 3.80726 | + | 2.99406i | 0.951814 | + | 0.748515i | ||||
\(17\) | −0.306316 | + | 6.43037i | −0.0742926 | + | 1.55959i | 0.587075 | + | 0.809532i | \(0.300279\pi\) |
−0.661368 | + | 0.750062i | \(0.730024\pi\) | |||||||
\(18\) | 14.9133 | − | 1.42404i | 3.51509 | − | 0.335651i | ||||
\(19\) | −0.158775 | − | 3.33309i | −0.0364254 | − | 0.764664i | −0.941012 | − | 0.338374i | \(-0.890123\pi\) |
0.904586 | − | 0.426290i | \(-0.140180\pi\) | |||||||
\(20\) | 0.944866 | + | 2.06897i | 0.211279 | + | 0.462635i | ||||
\(21\) | 8.18357 | − | 3.30735i | 1.78580 | − | 0.721724i | ||||
\(22\) | −2.33699 | + | 5.64712i | −0.498248 | + | 1.20397i | ||||
\(23\) | 2.00093 | + | 1.57355i | 0.417223 | + | 0.328108i | 0.804604 | − | 0.593812i | \(-0.202378\pi\) |
−0.387381 | + | 0.921920i | \(0.626620\pi\) | |||||||
\(24\) | 2.68916 | + | 2.56411i | 0.548922 | + | 0.523396i | ||||
\(25\) | −0.111522 | + | 2.34113i | −0.0223044 | + | 0.468227i | ||||
\(26\) | −1.55649 | + | 6.41595i | −0.305253 | + | 1.25827i | ||||
\(27\) | 17.1142 | 3.29363 | ||||||||
\(28\) | −3.28744 | − | 1.68118i | −0.621268 | − | 0.317714i | ||||
\(29\) | −0.0575142 | + | 0.0369622i | −0.0106801 | + | 0.00686370i | −0.545970 | − | 0.837805i | \(-0.683839\pi\) |
0.535290 | + | 0.844668i | \(0.320202\pi\) | |||||||
\(30\) | 3.27697 | + | 9.46819i | 0.598291 | + | 1.72865i | ||||
\(31\) | −2.24096 | − | 0.431910i | −0.402489 | − | 0.0775733i | −0.0160104 | − | 0.999872i | \(-0.505096\pi\) |
−0.386478 | + | 0.922298i | \(0.626309\pi\) | |||||||
\(32\) | 0.318688 | − | 6.69009i | 0.0563367 | − | 1.18265i | ||||
\(33\) | −5.18371 | + | 9.77540i | −0.902367 | + | 1.70168i | ||||
\(34\) | 9.97959 | − | 6.41349i | 1.71148 | − | 1.09990i | ||||
\(35\) | 2.51271 | + | 3.50425i | 0.424725 | + | 0.592327i | ||||
\(36\) | −7.43006 | − | 8.57475i | −1.23834 | − | 1.42912i | ||||
\(37\) | 0.437928 | + | 1.26531i | 0.0719950 | + | 0.208016i | 0.975257 | − | 0.221073i | \(-0.0709559\pi\) |
−0.903262 | + | 0.429089i | \(0.858835\pi\) | |||||||
\(38\) | −4.83336 | + | 3.80100i | −0.784074 | + | 0.616603i | ||||
\(39\) | −3.90936 | + | 11.2954i | −0.625999 | + | 1.80870i | ||||
\(40\) | −0.907596 | + | 1.57200i | −0.143504 | + | 0.248556i | ||||
\(41\) | 1.63665 | − | 3.58376i | 0.255601 | − | 0.559689i | −0.737715 | − | 0.675112i | \(-0.764095\pi\) |
0.993316 | + | 0.115424i | \(0.0368225\pi\) | |||||||
\(42\) | −13.7117 | − | 8.74862i | −2.11576 | − | 1.34994i | ||||
\(43\) | −9.77387 | + | 2.86987i | −1.49050 | + | 0.437651i | −0.922701 | − | 0.385516i | \(-0.874023\pi\) |
−0.567800 | + | 0.823167i | \(0.692205\pi\) | |||||||
\(44\) | 4.51050 | − | 1.03909i | 0.679983 | − | 0.156648i | ||||
\(45\) | 3.12382 | + | 12.8766i | 0.465672 | + | 1.91952i | ||||
\(46\) | 0.223192 | − | 4.68539i | 0.0329079 | − | 0.690823i | ||||
\(47\) | 13.4083 | + | 1.28034i | 1.95580 | + | 0.186757i | 0.995682 | − | 0.0928261i | \(-0.0295901\pi\) |
0.960122 | + | 0.279583i | \(0.0901961\pi\) | |||||||
\(48\) | 2.29962 | − | 15.9942i | 0.331922 | − | 2.30857i | ||||
\(49\) | −6.72923 | − | 1.92808i | −0.961318 | − | 0.275440i | ||||
\(50\) | 3.63331 | − | 2.33499i | 0.513828 | − | 0.330217i | ||||
\(51\) | 19.0895 | − | 9.84135i | 2.67307 | − | 1.37806i | ||||
\(52\) | 4.64193 | − | 1.85835i | 0.643720 | − | 0.257707i | ||||
\(53\) | −2.10987 | + | 1.65922i | −0.289813 | + | 0.227912i | −0.752471 | − | 0.658625i | \(-0.771138\pi\) |
0.462658 | + | 0.886537i | \(0.346896\pi\) | |||||||
\(54\) | −18.2930 | − | 25.6889i | −2.48936 | − | 3.49582i | ||||
\(55\) | −5.23792 | − | 1.33511i | −0.706281 | − | 0.180026i | ||||
\(56\) | −0.428916 | − | 2.91535i | −0.0573163 | − | 0.389580i | ||||
\(57\) | −9.36511 | + | 6.01859i | −1.24044 | + | 0.797182i | ||||
\(58\) | 0.116957 | + | 0.0468225i | 0.0153572 | + | 0.00614810i | ||||
\(59\) | 3.49100 | − | 4.90242i | 0.454489 | − | 0.638240i | −0.522220 | − | 0.852811i | \(-0.674896\pi\) |
0.976708 | + | 0.214571i | \(0.0688352\pi\) | |||||||
\(60\) | 4.40154 | − | 6.18110i | 0.568237 | − | 0.797977i | ||||
\(61\) | −2.76034 | − | 0.263581i | −0.353426 | − | 0.0337481i | −0.0831666 | − | 0.996536i | \(-0.526503\pi\) |
−0.270259 | + | 0.962788i | \(0.587109\pi\) | |||||||
\(62\) | 1.74701 | + | 3.82541i | 0.221870 | + | 0.485827i | ||||
\(63\) | −16.9513 | − | 13.2410i | −2.13566 | − | 1.66821i | ||||
\(64\) | −2.23341 | + | 1.43533i | −0.279177 | + | 0.179416i | ||||
\(65\) | −5.81275 | − | 0.555051i | −0.720983 | − | 0.0688456i | ||||
\(66\) | 20.2139 | − | 2.66781i | 2.48816 | − | 0.328385i | ||||
\(67\) | −5.09348 | + | 0.486368i | −0.622268 | + | 0.0594194i | −0.401428 | − | 0.915891i | \(-0.631486\pi\) |
−0.220840 | + | 0.975310i | \(0.570880\pi\) | |||||||
\(68\) | −8.34075 | − | 3.33913i | −1.01146 | − | 0.404929i | ||||
\(69\) | 1.20858 | − | 8.40588i | 0.145496 | − | 1.01195i | ||||
\(70\) | 2.57421 | − | 7.51726i | 0.307676 | − | 0.898485i | ||||
\(71\) | 2.69288 | − | 1.73061i | 0.319586 | − | 0.205385i | −0.371005 | − | 0.928631i | \(-0.620987\pi\) |
0.690591 | + | 0.723246i | \(0.257351\pi\) | |||||||
\(72\) | 2.13475 | − | 8.79954i | 0.251582 | − | 1.03704i | ||||
\(73\) | −13.8427 | + | 5.54176i | −1.62016 | + | 0.648614i | −0.991623 | − | 0.129165i | \(-0.958770\pi\) |
−0.628537 | + | 0.777779i | \(0.716346\pi\) | |||||||
\(74\) | 1.43118 | − | 2.00981i | 0.166371 | − | 0.233635i | ||||
\(75\) | 6.95002 | − | 3.58298i | 0.802519 | − | 0.413727i | ||||
\(76\) | 4.46826 | + | 1.31200i | 0.512544 | + | 0.150497i | ||||
\(77\) | 8.01198 | − | 3.57885i | 0.913050 | − | 0.407848i | ||||
\(78\) | 21.1333 | − | 6.20529i | 2.39287 | − | 0.702611i | ||||
\(79\) | −2.91332 | + | 2.77785i | −0.327774 | + | 0.312532i | −0.836040 | − | 0.548668i | \(-0.815135\pi\) |
0.508266 | + | 0.861200i | \(0.330287\pi\) | |||||||
\(80\) | 7.85816 | − | 0.750363i | 0.878569 | − | 0.0838931i | ||||
\(81\) | −16.3529 | − | 28.3241i | −1.81699 | − | 3.14713i | ||||
\(82\) | −7.12869 | + | 1.37394i | −0.787233 | + | 0.151727i | ||||
\(83\) | 2.24335 | + | 15.6028i | 0.246240 | + | 1.71264i | 0.619574 | + | 0.784938i | \(0.287305\pi\) |
−0.373334 | + | 0.927697i | \(0.621786\pi\) | |||||||
\(84\) | 0.626434 | + | 12.3024i | 0.0683496 | + | 1.34230i | ||||
\(85\) | 6.87082 | + | 7.92935i | 0.745245 | + | 0.860059i | ||||
\(86\) | 14.7548 | + | 11.6033i | 1.59105 | + | 1.25122i | ||||
\(87\) | 0.202729 | + | 0.104514i | 0.0217348 | + | 0.0112051i | ||||
\(88\) | 2.76348 | + | 2.45117i | 0.294588 | + | 0.261295i | ||||
\(89\) | 5.31084 | − | 2.73793i | 0.562948 | − | 0.290220i | −0.153169 | − | 0.988200i | \(-0.548948\pi\) |
0.716117 | + | 0.697980i | \(0.245918\pi\) | |||||||
\(90\) | 15.9891 | − | 18.4524i | 1.68540 | − | 1.94506i | ||||
\(91\) | 7.95756 | − | 5.15092i | 0.834179 | − | 0.539964i | ||||
\(92\) | −2.98857 | + | 1.92064i | −0.311580 | + | 0.200241i | ||||
\(93\) | 2.49023 | + | 7.19503i | 0.258224 | + | 0.746090i | ||||
\(94\) | −12.4100 | − | 21.4948i | −1.28000 | − | 2.21702i | ||||
\(95\) | −3.93595 | − | 3.75293i | −0.403820 | − | 0.385042i | ||||
\(96\) | −19.8606 | + | 10.2388i | −2.02701 | + | 1.04500i | ||||
\(97\) | −4.39924 | + | 1.29173i | −0.446675 | + | 0.131156i | −0.497332 | − | 0.867560i | \(-0.665687\pi\) |
0.0506564 | + | 0.998716i | \(0.483869\pi\) | |||||||
\(98\) | 4.29862 | + | 12.1616i | 0.434226 | + | 1.22851i | ||||
\(99\) | 26.9464 | − | 0.971052i | 2.70822 | − | 0.0975944i | ||||
\(100\) | −3.03665 | − | 1.21569i | −0.303665 | − | 0.121569i | ||||
\(101\) | −9.00202 | + | 12.6416i | −0.895735 | + | 1.25788i | 0.0697875 | + | 0.997562i | \(0.477768\pi\) |
−0.965522 | + | 0.260321i | \(0.916172\pi\) | |||||||
\(102\) | −35.1765 | − | 18.1348i | −3.48300 | − | 1.79561i | ||||
\(103\) | 2.43223 | + | 3.41558i | 0.239654 | + | 0.336547i | 0.916833 | − | 0.399271i | \(-0.130737\pi\) |
−0.677178 | + | 0.735819i | \(0.736797\pi\) | |||||||
\(104\) | 3.35691 | + | 2.15736i | 0.329172 | + | 0.211546i | ||||
\(105\) | 5.93308 | − | 13.1051i | 0.579009 | − | 1.27892i | ||||
\(106\) | 4.74574 | + | 1.39347i | 0.460947 | + | 0.135346i | ||||
\(107\) | −5.25219 | + | 5.00795i | −0.507748 | + | 0.484137i | −0.900103 | − | 0.435677i | \(-0.856509\pi\) |
0.392355 | + | 0.919814i | \(0.371661\pi\) | |||||||
\(108\) | −7.81181 | + | 22.5708i | −0.751692 | + | 2.17187i | ||||
\(109\) | −1.48121 | + | 4.27966i | −0.141874 | + | 0.409918i | −0.993444 | − | 0.114324i | \(-0.963530\pi\) |
0.851570 | + | 0.524241i | \(0.175651\pi\) | |||||||
\(110\) | 3.59466 | + | 9.28934i | 0.342737 | + | 0.885704i | ||||
\(111\) | 2.92523 | − | 3.37590i | 0.277651 | − | 0.320426i | ||||
\(112\) | −9.24543 | + | 8.87351i | −0.873611 | + | 0.838468i | ||||
\(113\) | −10.9350 | + | 3.21080i | −1.02868 | + | 0.302046i | −0.752172 | − | 0.658966i | \(-0.770994\pi\) |
−0.276503 | + | 0.961013i | \(0.589176\pi\) | |||||||
\(114\) | 19.0442 | + | 7.62416i | 1.78366 | + | 0.714068i | ||||
\(115\) | 4.12991 | − | 0.394359i | 0.385116 | − | 0.0367741i | ||||
\(116\) | −0.0224944 | − | 0.0927230i | −0.00208855 | − | 0.00860911i | ||||
\(117\) | 28.6014 | − | 5.51248i | 2.64420 | − | 0.509629i | ||||
\(118\) | −11.0901 | −1.02093 | ||||||||
\(119\) | −16.7351 | − | 3.16861i | −1.53411 | − | 0.290466i | ||||
\(120\) | 6.05576 | 0.552813 | ||||||||
\(121\) | −4.80004 | + | 9.89746i | −0.436367 | + | 0.899769i | ||||
\(122\) | 2.55483 | + | 4.42509i | 0.231303 | + | 0.400629i | ||||
\(123\) | −13.0842 | + | 1.24939i | −1.17976 | + | 0.112654i | ||||
\(124\) | 1.59251 | − | 2.75830i | 0.143011 | − | 0.247703i | ||||
\(125\) | 7.83791 | + | 9.04543i | 0.701044 | + | 0.809048i | ||||
\(126\) | −1.75626 | + | 39.5974i | −0.156460 | + | 3.52761i | ||||
\(127\) | 5.51712 | − | 12.0808i | 0.489565 | − | 1.07200i | −0.490156 | − | 0.871635i | \(-0.663060\pi\) |
0.979722 | − | 0.200364i | \(-0.0642125\pi\) | |||||||
\(128\) | −7.89410 | − | 3.16032i | −0.697746 | − | 0.279336i | ||||
\(129\) | 24.5952 | + | 23.4514i | 2.16548 | + | 2.06478i | ||||
\(130\) | 5.37998 | + | 9.31839i | 0.471855 | + | 0.817277i | ||||
\(131\) | −6.04989 | − | 17.4800i | −0.528582 | − | 1.52724i | −0.820990 | − | 0.570943i | \(-0.806578\pi\) |
0.292408 | − | 0.956294i | \(-0.405543\pi\) | |||||||
\(132\) | −10.5260 | − | 11.2984i | −0.916169 | − | 0.983402i | ||||
\(133\) | 8.79126 | + | 0.810411i | 0.762299 | + | 0.0702715i | ||||
\(134\) | 6.17436 | + | 7.12559i | 0.533384 | + | 0.615557i | ||||
\(135\) | 20.1868 | − | 19.2481i | 1.73740 | − | 1.65661i | ||||
\(136\) | −1.69039 | − | 6.96790i | −0.144950 | − | 0.597492i | ||||
\(137\) | 4.23597 | − | 1.69583i | 0.361903 | − | 0.144884i | −0.183582 | − | 0.983004i | \(-0.558769\pi\) |
0.545486 | + | 0.838120i | \(0.316345\pi\) | |||||||
\(138\) | −13.9093 | + | 7.17074i | −1.18404 | + | 0.610414i | ||||
\(139\) | 3.57471 | − | 7.82752i | 0.303203 | − | 0.663922i | −0.695294 | − | 0.718725i | \(-0.744726\pi\) |
0.998497 | + | 0.0548034i | \(0.0174532\pi\) | |||||||
\(140\) | −5.76844 | + | 1.71431i | −0.487523 | + | 0.144886i | ||||
\(141\) | −18.6670 | − | 40.8749i | −1.57204 | − | 3.44229i | ||||
\(142\) | −5.47604 | − | 2.19228i | −0.459539 | − | 0.183972i | ||||
\(143\) | −3.47956 | + | 11.3619i | −0.290975 | + | 0.950131i | ||||
\(144\) | −36.5567 | + | 14.6351i | −3.04639 | + | 1.21959i | ||||
\(145\) | −0.0262693 | + | 0.108283i | −0.00218154 | + | 0.00899245i | ||||
\(146\) | 23.1145 | + | 14.8548i | 1.91297 | + | 1.22939i | ||||
\(147\) | 5.65427 | + | 22.6582i | 0.466356 | + | 1.86882i | ||||
\(148\) | −1.86862 | −0.153600 | ||||||||
\(149\) | −1.53683 | − | 4.44037i | −0.125902 | − | 0.363769i | 0.864381 | − | 0.502837i | \(-0.167710\pi\) |
−0.990283 | + | 0.139068i | \(0.955589\pi\) | |||||||
\(150\) | −12.8069 | − | 6.60240i | −1.04568 | − | 0.539084i | ||||
\(151\) | 8.13106 | + | 1.56713i | 0.661696 | + | 0.127531i | 0.509033 | − | 0.860747i | \(-0.330003\pi\) |
0.152663 | + | 0.988278i | \(0.451215\pi\) | |||||||
\(152\) | 1.21554 | + | 3.51207i | 0.0985933 | + | 0.284867i | ||||
\(153\) | −44.0293 | − | 28.2959i | −3.55956 | − | 2.28759i | ||||
\(154\) | −13.9358 | − | 8.20086i | −1.12298 | − | 0.660844i | ||||
\(155\) | −3.12905 | + | 2.01092i | −0.251332 | + | 0.161521i | ||||
\(156\) | −13.1122 | − | 10.3116i | −1.04982 | − | 0.825586i | ||||
\(157\) | −5.52575 | + | 15.9656i | −0.441002 | + | 1.27419i | 0.477449 | + | 0.878659i | \(0.341562\pi\) |
−0.918452 | + | 0.395534i | \(0.870560\pi\) | |||||||
\(158\) | 7.28361 | + | 1.40380i | 0.579453 | + | 0.111680i | ||||
\(159\) | 8.31325 | + | 3.32812i | 0.659283 | + | 0.263937i | ||||
\(160\) | −7.14833 | − | 8.24961i | −0.565125 | − | 0.652189i | ||||
\(161\) | −4.85900 | + | 4.66354i | −0.382943 | + | 0.367538i | ||||
\(162\) | −25.0360 | + | 54.8213i | −1.96702 | + | 4.30717i | ||||
\(163\) | −0.305054 | + | 0.290868i | −0.0238936 | + | 0.0227825i | −0.701932 | − | 0.712244i | \(-0.747679\pi\) |
0.678038 | + | 0.735027i | \(0.262830\pi\) | |||||||
\(164\) | 3.97932 | + | 3.79427i | 0.310732 | + | 0.296283i | ||||
\(165\) | 4.87987 | + | 17.3604i | 0.379897 | + | 1.35151i | ||||
\(166\) | 21.0225 | − | 20.0449i | 1.63166 | − | 1.55578i | ||||
\(167\) | −1.20126 | − | 0.772006i | −0.0929567 | − | 0.0597396i | 0.493337 | − | 0.869838i | \(-0.335777\pi\) |
−0.586293 | + | 0.810099i | \(0.699413\pi\) | |||||||
\(168\) | −7.70754 | + | 6.10225i | −0.594650 | + | 0.470799i | ||||
\(169\) | 0.0232833 | − | 0.161939i | 0.00179102 | − | 0.0124568i | ||||
\(170\) | 4.55811 | − | 18.7888i | 0.349591 | − | 1.44104i | ||||
\(171\) | 24.1128 | + | 12.4310i | 1.84395 | + | 0.950623i | ||||
\(172\) | 0.676431 | − | 14.2000i | 0.0515774 | − | 1.08274i | ||||
\(173\) | 18.0307 | + | 14.1795i | 1.37085 | + | 1.07805i | 0.988036 | + | 0.154225i | \(0.0492880\pi\) |
0.382816 | + | 0.923825i | \(0.374954\pi\) | |||||||
\(174\) | −0.0598139 | − | 0.416015i | −0.00453448 | − | 0.0315380i | ||||
\(175\) | −6.09283 | − | 1.15361i | −0.460575 | − | 0.0872046i | ||||
\(176\) | 1.71205 | − | 15.9726i | 0.129051 | − | 1.20398i | ||||
\(177\) | −19.9873 | − | 1.90855i | −1.50234 | − | 0.143456i | ||||
\(178\) | −9.78635 | − | 5.04521i | −0.733518 | − | 0.378155i | ||||
\(179\) | −6.10014 | + | 4.79721i | −0.455946 | + | 0.358560i | −0.819563 | − | 0.572988i | \(-0.805784\pi\) |
0.363617 | + | 0.931548i | \(0.381542\pi\) | |||||||
\(180\) | −18.4079 | − | 1.75774i | −1.37204 | − | 0.131014i | ||||
\(181\) | 4.83603 | + | 10.5894i | 0.359459 | + | 0.787105i | 0.999819 | + | 0.0190304i | \(0.00605792\pi\) |
−0.640360 | + | 0.768075i | \(0.721215\pi\) | |||||||
\(182\) | −16.2373 | − | 6.43882i | −1.20359 | − | 0.477277i | ||||
\(183\) | 3.84293 | + | 8.41484i | 0.284078 | + | 0.622043i | ||||
\(184\) | −2.63204 | − | 1.05371i | −0.194036 | − | 0.0776804i | ||||
\(185\) | 1.93963 | + | 0.999946i | 0.142604 | + | 0.0735175i | ||||
\(186\) | 8.13821 | − | 11.4285i | 0.596722 | − | 0.837979i | ||||
\(187\) | 18.6131 | − | 10.4608i | 1.36113 | − | 0.764972i | ||||
\(188\) | −7.80880 | + | 17.0989i | −0.569515 | + | 1.24706i | ||||
\(189\) | −6.29715 | + | 44.8399i | −0.458051 | + | 3.26163i | ||||
\(190\) | −1.42619 | + | 9.91940i | −0.103467 | + | 0.719629i | ||||
\(191\) | −6.94244 | + | 3.57908i | −0.502337 | + | 0.258973i | −0.690719 | − | 0.723123i | \(-0.742706\pi\) |
0.188382 | + | 0.982096i | \(0.439676\pi\) | |||||||
\(192\) | 7.87245 | + | 4.05853i | 0.568145 | + | 0.292899i | ||||
\(193\) | −14.1689 | − | 13.5100i | −1.01990 | − | 0.972473i | −0.0202738 | − | 0.999794i | \(-0.506454\pi\) |
−0.999627 | + | 0.0273213i | \(0.991302\pi\) | |||||||
\(194\) | 6.64118 | + | 5.22268i | 0.476809 | + | 0.374967i | ||||
\(195\) | 8.09247 | + | 17.7200i | 0.579514 | + | 1.26896i | ||||
\(196\) | 5.61438 | − | 7.99464i | 0.401027 | − | 0.571045i | ||||
\(197\) | 26.1608 | + | 7.68151i | 1.86388 | + | 0.547285i | 0.998971 | + | 0.0453588i | \(0.0144431\pi\) |
0.864910 | + | 0.501926i | \(0.167375\pi\) | |||||||
\(198\) | −30.2600 | − | 39.4094i | −2.15048 | − | 2.80070i | ||||
\(199\) | 5.53143 | + | 5.27421i | 0.392113 | + | 0.373879i | 0.860333 | − | 0.509733i | \(-0.170256\pi\) |
−0.468220 | + | 0.883612i | \(0.655104\pi\) | |||||||
\(200\) | −0.615429 | − | 2.53683i | −0.0435174 | − | 0.179381i | ||||
\(201\) | 9.90153 | + | 13.9048i | 0.698400 | + | 0.980766i | ||||
\(202\) | 28.5974 | 2.01211 | ||||||||
\(203\) | −0.0756801 | − | 0.164290i | −0.00531170 | − | 0.0115309i | ||||
\(204\) | 4.26561 | + | 29.6680i | 0.298653 | + | 2.07717i | ||||
\(205\) | −2.10011 | − | 6.06787i | −0.146678 | − | 0.423798i | ||||
\(206\) | 2.52714 | − | 7.30168i | 0.176074 | − | 0.508732i | ||||
\(207\) | −19.2126 | + | 7.69158i | −1.33537 | + | 0.534602i | ||||
\(208\) | −0.825703 | − | 17.3336i | −0.0572522 | − | 1.20187i | ||||
\(209\) | −9.08877 | + | 6.31477i | −0.628683 | + | 0.436802i | ||||
\(210\) | −26.0128 | + | 5.10199i | −1.79505 | + | 0.352071i | ||||
\(211\) | −13.1402 | + | 15.1646i | −0.904609 | + | 1.04397i | 0.0942177 | + | 0.995552i | \(0.469965\pi\) |
−0.998827 | + | 0.0484231i | \(0.984580\pi\) | |||||||
\(212\) | −1.22518 | − | 3.53992i | −0.0841456 | − | 0.243123i | ||||
\(213\) | −9.49198 | − | 4.89346i | −0.650380 | − | 0.335294i | ||||
\(214\) | 13.1310 | + | 2.53080i | 0.897619 | + | 0.173002i | ||||
\(215\) | −8.30092 | + | 14.3776i | −0.566118 | + | 0.980545i | ||||
\(216\) | −18.2890 | + | 5.37014i | −1.24441 | + | 0.365392i | ||||
\(217\) | 1.95618 | − | 5.71249i | 0.132794 | − | 0.387789i | ||||
\(218\) | 8.00713 | − | 2.35110i | 0.542311 | − | 0.159237i | ||||
\(219\) | 39.1018 | + | 30.7500i | 2.64226 | + | 2.07789i | ||||
\(220\) | 4.15164 | − | 6.29852i | 0.279904 | − | 0.424646i | ||||
\(221\) | 18.1302 | − | 14.2577i | 1.21957 | − | 0.959078i | ||||
\(222\) | −8.19403 | − | 0.782435i | −0.549947 | − | 0.0525136i | ||||
\(223\) | 5.50010 | − | 3.53470i | 0.368314 | − | 0.236701i | −0.343371 | − | 0.939200i | \(-0.611569\pi\) |
0.711685 | + | 0.702499i | \(0.247932\pi\) | |||||||
\(224\) | 17.4110 | + | 3.29659i | 1.16332 | + | 0.220262i | ||||
\(225\) | −16.0299 | − | 10.3018i | −1.06866 | − | 0.686787i | ||||
\(226\) | 16.5077 | + | 12.9818i | 1.09807 | + | 0.863534i | ||||
\(227\) | 1.41353 | + | 5.82665i | 0.0938193 | + | 0.386728i | 0.999290 | − | 0.0376807i | \(-0.0119970\pi\) |
−0.905471 | + | 0.424409i | \(0.860482\pi\) | |||||||
\(228\) | −3.66278 | − | 15.0982i | −0.242574 | − | 0.999902i | ||||
\(229\) | 5.76831 | − | 1.11175i | 0.381180 | − | 0.0734665i | 0.00493807 | − | 0.999988i | \(-0.498428\pi\) |
0.376242 | + | 0.926521i | \(0.377216\pi\) | |||||||
\(230\) | −5.00631 | − | 5.77759i | −0.330106 | − | 0.380963i | ||||
\(231\) | −23.7046 | − | 17.1784i | −1.55965 | − | 1.13025i | ||||
\(232\) | 0.0498642 | − | 0.0575464i | 0.00327375 | − | 0.00377810i | ||||
\(233\) | 4.25574 | − | 7.37115i | 0.278802 | − | 0.482900i | −0.692285 | − | 0.721624i | \(-0.743396\pi\) |
0.971087 | + | 0.238724i | \(0.0767292\pi\) | |||||||
\(234\) | −38.8458 | − | 37.0394i | −2.53943 | − | 2.42134i | ||||
\(235\) | 17.2555 | − | 13.5699i | 1.12563 | − | 0.885203i | ||||
\(236\) | 4.87199 | + | 6.84175i | 0.317139 | + | 0.445360i | ||||
\(237\) | 12.8854 | + | 3.78349i | 0.836996 | + | 0.245764i | ||||
\(238\) | 13.1316 | + | 28.5068i | 0.851197 | + | 1.84782i | ||||
\(239\) | 7.72225 | 0.499511 | 0.249755 | − | 0.968309i | \(-0.419650\pi\) | ||||
0.249755 | + | 0.968309i | \(0.419650\pi\) | |||||||
\(240\) | −15.2760 | − | 21.4521i | −0.986059 | − | 1.38473i | ||||
\(241\) | 8.35020 | + | 14.4630i | 0.537884 | + | 0.931642i | 0.999018 | + | 0.0443114i | \(0.0141094\pi\) |
−0.461134 | + | 0.887330i | \(0.652557\pi\) | |||||||
\(242\) | 19.9870 | − | 3.37418i | 1.28481 | − | 0.216900i | ||||
\(243\) | −28.8846 | + | 50.0296i | −1.85295 | + | 3.20940i | ||||
\(244\) | 1.60758 | − | 3.52011i | 0.102915 | − | 0.225352i | ||||
\(245\) | −10.1058 | + | 5.29401i | −0.645638 | + | 0.338222i | ||||
\(246\) | 15.8608 | + | 18.3043i | 1.01125 | + | 1.16704i | ||||
\(247\) | −8.65247 | + | 8.25012i | −0.550544 | + | 0.524942i | ||||
\(248\) | 2.53032 | − | 0.241616i | 0.160675 | − | 0.0153426i | ||||
\(249\) | 41.3376 | − | 32.5082i | 2.61966 | − | 2.06013i | ||||
\(250\) | 5.19969 | − | 21.4334i | 0.328857 | − | 1.35557i | ||||
\(251\) | −11.4354 | −0.721797 | −0.360898 | − | 0.932605i | \(-0.617530\pi\) | ||||
−0.360898 | + | 0.932605i | \(0.617530\pi\) | |||||||
\(252\) | 25.2001 | − | 16.3120i | 1.58745 | − | 1.02756i | ||||
\(253\) | 0.899780 | − | 8.39452i | 0.0565687 | − | 0.527759i | ||||
\(254\) | −24.0308 | + | 4.63155i | −1.50782 | + | 0.290609i | ||||
\(255\) | 11.4484 | − | 33.0779i | 0.716925 | − | 2.07142i | ||||
\(256\) | 4.94591 | + | 20.3873i | 0.309119 | + | 1.27421i | ||||
\(257\) | −20.9594 | + | 19.9848i | −1.30741 | + | 1.24662i | −0.357571 | + | 0.933886i | \(0.616395\pi\) |
−0.949842 | + | 0.312730i | \(0.898756\pi\) | |||||||
\(258\) | 8.91207 | − | 61.9848i | 0.554841 | − | 3.85900i | ||||
\(259\) | −3.47630 | + | 0.681821i | −0.216007 | + | 0.0423663i | ||||
\(260\) | 3.38526 | − | 7.41268i | 0.209945 | − | 0.459715i | ||||
\(261\) | −0.0264470 | − | 0.555192i | −0.00163703 | − | 0.0343655i | ||||
\(262\) | −19.7714 | + | 27.7651i | −1.22148 | + | 1.71533i | ||||
\(263\) | −0.918115 | + | 0.722014i | −0.0566134 | + | 0.0445213i | −0.646065 | − | 0.763283i | \(-0.723586\pi\) |
0.589451 | + | 0.807804i | \(0.299344\pi\) | |||||||
\(264\) | 2.47219 | − | 12.0730i | 0.152153 | − | 0.743040i | ||||
\(265\) | −0.622567 | + | 4.33005i | −0.0382440 | + | 0.265993i | ||||
\(266\) | −8.18033 | − | 14.0622i | −0.501569 | − | 0.862207i | ||||
\(267\) | −16.7693 | − | 10.7770i | −1.02626 | − | 0.659540i | ||||
\(268\) | 1.68349 | − | 6.93944i | 0.102836 | − | 0.423894i | ||||
\(269\) | −5.28142 | − | 9.14768i | −0.322014 | − | 0.557744i | 0.658890 | − | 0.752239i | \(-0.271026\pi\) |
−0.980903 | + | 0.194496i | \(0.937693\pi\) | |||||||
\(270\) | −50.4691 | − | 9.72713i | −3.07145 | − | 0.591974i | ||||
\(271\) | 0.683615 | + | 14.3508i | 0.0415266 | + | 0.871752i | 0.919511 | + | 0.393063i | \(0.128585\pi\) |
−0.877985 | + | 0.478688i | \(0.841112\pi\) | |||||||
\(272\) | −20.4191 | + | 23.5649i | −1.23809 | + | 1.42883i | ||||
\(273\) | −28.1558 | − | 14.3988i | −1.70407 | − | 0.871455i | ||||
\(274\) | −7.07322 | − | 4.54568i | −0.427309 | − | 0.274615i | ||||
\(275\) | 6.77657 | − | 3.80852i | 0.408643 | − | 0.229663i | ||||
\(276\) | 10.5343 | + | 5.43079i | 0.634089 | + | 0.326895i | ||||
\(277\) | −12.8950 | + | 5.16239i | −0.774788 | + | 0.310178i | −0.725152 | − | 0.688589i | \(-0.758230\pi\) |
−0.0496359 | + | 0.998767i | \(0.515806\pi\) | |||||||
\(278\) | −15.5703 | + | 3.00092i | −0.933842 | + | 0.179983i | ||||
\(279\) | 12.1504 | − | 14.0223i | 0.727424 | − | 0.839493i | ||||
\(280\) | −3.78476 | − | 2.95636i | −0.226183 | − | 0.176676i | ||||
\(281\) | 10.2032 | + | 11.7752i | 0.608674 | + | 0.702447i | 0.973515 | − | 0.228622i | \(-0.0734221\pi\) |
−0.364841 | + | 0.931070i | \(0.618877\pi\) | |||||||
\(282\) | −41.4018 | + | 71.7099i | −2.46544 | + | 4.27026i | ||||
\(283\) | −7.69393 | + | 0.734681i | −0.457356 | + | 0.0436722i | −0.321192 | − | 0.947014i | \(-0.604084\pi\) |
−0.136164 | + | 0.990686i | \(0.543477\pi\) | |||||||
\(284\) | 1.05321 | + | 4.34139i | 0.0624964 | + | 0.257614i | ||||
\(285\) | −4.27745 | + | 17.6319i | −0.253375 | + | 1.04442i | ||||
\(286\) | 20.7738 | − | 6.92158i | 1.22838 | − | 0.409282i | ||||
\(287\) | 8.78738 | + | 5.60672i | 0.518703 | + | 0.330954i | ||||
\(288\) | 45.8076 | + | 29.4388i | 2.69924 | + | 1.73470i | ||||
\(289\) | −24.3328 | − | 2.32350i | −1.43134 | − | 0.136677i | ||||
\(290\) | 0.190615 | − | 0.0763108i | 0.0111933 | − | 0.00448112i | ||||
\(291\) | 11.0703 | + | 10.5556i | 0.648955 | + | 0.618778i | ||||
\(292\) | −0.990143 | − | 20.7857i | −0.0579438 | − | 1.21639i | ||||
\(293\) | 1.60506 | + | 1.03151i | 0.0937688 | + | 0.0602615i | 0.586685 | − | 0.809815i | \(-0.300433\pi\) |
−0.492916 | + | 0.870077i | \(0.664069\pi\) | |||||||
\(294\) | 27.9669 | − | 32.7061i | 1.63106 | − | 1.90746i | ||||
\(295\) | −1.39592 | − | 9.70883i | −0.0812736 | − | 0.565270i | ||||
\(296\) | −0.865022 | − | 1.21475i | −0.0502784 | − | 0.0706061i | ||||
\(297\) | −30.1326 | − | 48.1029i | −1.74847 | − | 2.79121i | ||||
\(298\) | −5.02244 | + | 7.05303i | −0.290942 | + | 0.408571i | ||||
\(299\) | −0.433954 | − | 9.10982i | −0.0250962 | − | 0.526834i | ||||
\(300\) | 1.55300 | + | 10.8014i | 0.0896625 | + | 0.623616i | ||||
\(301\) | −3.92289 | − | 26.6639i | −0.226111 | − | 1.53688i | ||||
\(302\) | −6.33880 | − | 13.8800i | −0.364757 | − | 0.798706i | ||||
\(303\) | 51.5400 | + | 4.92147i | 2.96090 | + | 0.282731i | ||||
\(304\) | 9.37499 | − | 13.1653i | 0.537692 | − | 0.755083i | ||||
\(305\) | −3.55236 | + | 2.79361i | −0.203408 | + | 0.159962i | ||||
\(306\) | 4.58896 | + | 96.3341i | 0.262333 | + | 5.50705i | ||||
\(307\) | −9.14599 | − | 20.0269i | −0.521989 | − | 1.14300i | −0.968681 | − | 0.248309i | \(-0.920125\pi\) |
0.446692 | − | 0.894688i | \(-0.352602\pi\) | |||||||
\(308\) | 1.06282 | + | 12.2000i | 0.0605596 | + | 0.695160i | ||||
\(309\) | 5.81114 | − | 12.7246i | 0.330584 | − | 0.723879i | ||||
\(310\) | 6.36302 | + | 2.54737i | 0.361395 | + | 0.144681i | ||||
\(311\) | 21.6168 | − | 8.65407i | 1.22578 | − | 0.490727i | 0.333730 | − | 0.942669i | \(-0.391693\pi\) |
0.892048 | + | 0.451942i | \(0.149268\pi\) | |||||||
\(312\) | 0.633433 | − | 13.2974i | 0.0358611 | − | 0.752817i | ||||
\(313\) | −0.497171 | − | 10.4369i | −0.0281017 | − | 0.589928i | −0.968374 | − | 0.249504i | \(-0.919732\pi\) |
0.940272 | − | 0.340424i | \(-0.110571\pi\) | |||||||
\(314\) | 29.8712 | − | 8.77096i | 1.68573 | − | 0.494974i | ||||
\(315\) | −34.8865 | + | 3.44662i | −1.96563 | + | 0.194195i | ||||
\(316\) | −2.33372 | − | 5.11013i | −0.131282 | − | 0.287467i | ||||
\(317\) | −11.6146 | + | 5.98772i | −0.652339 | + | 0.336304i | −0.752428 | − | 0.658674i | \(-0.771117\pi\) |
0.100089 | + | 0.994978i | \(0.468087\pi\) | |||||||
\(318\) | −3.89024 | − | 16.0358i | −0.218154 | − | 0.899242i | ||||
\(319\) | 0.205153 | + | 0.0965767i | 0.0114864 | + | 0.00540726i | ||||
\(320\) | −1.02010 | + | 4.20490i | −0.0570252 | + | 0.235061i | ||||
\(321\) | 23.2300 | + | 6.82094i | 1.29657 | + | 0.380708i | ||||
\(322\) | 12.1938 | + | 2.30876i | 0.679533 | + | 0.128662i | ||||
\(323\) | 21.4817 | 1.19527 | ||||||||
\(324\) | 44.8191 | − | 8.63817i | 2.48995 | − | 0.479898i | ||||
\(325\) | 6.60073 | − | 5.19087i | 0.366142 | − | 0.287938i | ||||
\(326\) | 0.762666 | + | 0.146992i | 0.0422402 | + | 0.00814113i | ||||
\(327\) | 14.8355 | − | 2.85932i | 0.820408 | − | 0.158121i | ||||
\(328\) | −0.624474 | + | 4.34331i | −0.0344808 | + | 0.239819i | ||||
\(329\) | −8.28811 | + | 34.6592i | −0.456938 | + | 1.91083i | ||||
\(330\) | 20.8425 | − | 25.8810i | 1.14734 | − | 1.42470i | ||||
\(331\) | 13.1651 | − | 6.78707i | 0.723619 | − | 0.373051i | −0.0567355 | − | 0.998389i | \(-0.518069\pi\) |
0.780354 | + | 0.625338i | \(0.215039\pi\) | |||||||
\(332\) | −21.6015 | − | 4.16335i | −1.18554 | − | 0.228493i | ||||
\(333\) | −10.6889 | − | 2.06011i | −0.585746 | − | 0.112893i | ||||
\(334\) | 0.125202 | + | 2.62831i | 0.00685075 | + | 0.143815i | ||||
\(335\) | −5.46092 | + | 6.30224i | −0.298362 | + | 0.344328i | ||||
\(336\) | 41.0594 | + | 11.9102i | 2.23997 | + | 0.649753i | ||||
\(337\) | −20.3885 | + | 5.98660i | −1.11063 | + | 0.326111i | −0.785068 | − | 0.619410i | \(-0.787372\pi\) |
−0.325563 | + | 0.945520i | \(0.605554\pi\) | |||||||
\(338\) | −0.267962 | + | 0.138144i | −0.0145752 | + | 0.00751404i | ||||
\(339\) | 27.5170 | + | 26.2374i | 1.49452 | + | 1.42502i | ||||
\(340\) | −13.5937 | + | 5.44208i | −0.737220 | + | 0.295138i | ||||
\(341\) | 2.73164 | + | 7.05912i | 0.147927 | + | 0.382273i | ||||
\(342\) | −7.11433 | − | 49.4812i | −0.384699 | − | 2.67564i | ||||
\(343\) | 7.52766 | − | 16.9214i | 0.406456 | − | 0.913671i | ||||
\(344\) | 9.54428 | − | 6.13373i | 0.514593 | − | 0.330709i | ||||
\(345\) | −8.02839 | − | 11.2743i | −0.432234 | − | 0.606988i | ||||
\(346\) | 2.01123 | − | 42.2208i | 0.108124 | − | 2.26981i | ||||
\(347\) | 2.48343 | − | 0.994217i | 0.133318 | − | 0.0533724i | −0.304044 | − | 0.952658i | \(-0.598337\pi\) |
0.437362 | + | 0.899286i | \(0.355913\pi\) | |||||||
\(348\) | −0.230372 | + | 0.219660i | −0.0123493 | + | 0.0117750i | ||||
\(349\) | −3.56784 | − | 1.04761i | −0.190982 | − | 0.0560773i | 0.184843 | − | 0.982768i | \(-0.440822\pi\) |
−0.375825 | + | 0.926691i | \(0.622641\pi\) | |||||||
\(350\) | 4.78089 | + | 10.3786i | 0.255549 | + | 0.554758i | ||||
\(351\) | −40.1539 | − | 46.3400i | −2.14326 | − | 2.47345i | ||||
\(352\) | −19.3649 | + | 10.8833i | −1.03215 | + | 0.580084i | ||||
\(353\) | −11.6616 | − | 2.24758i | −0.620683 | − | 0.119627i | −0.130791 | − | 0.991410i | \(-0.541752\pi\) |
−0.489892 | + | 0.871783i | \(0.662964\pi\) | |||||||
\(354\) | 18.4992 | + | 32.0415i | 0.983220 | + | 1.70299i | ||||
\(355\) | 1.22995 | − | 5.06994i | 0.0652792 | − | 0.269085i | ||||
\(356\) | 1.18672 | + | 8.25383i | 0.0628961 | + | 0.437452i | ||||
\(357\) | 18.7608 | + | 53.6365i | 0.992924 | + | 2.83875i | ||||
\(358\) | 13.7210 | + | 4.02886i | 0.725180 | + | 0.212932i | ||||
\(359\) | −12.9210 | + | 2.49032i | −0.681944 | + | 0.131434i | −0.518447 | − | 0.855110i | \(-0.673490\pi\) |
−0.163497 | + | 0.986544i | \(0.552277\pi\) | |||||||
\(360\) | −7.37869 | − | 12.7803i | −0.388891 | − | 0.673579i | ||||
\(361\) | 7.82966 | − | 0.747642i | 0.412087 | − | 0.0393496i | ||||
\(362\) | 10.7259 | − | 18.5778i | 0.563741 | − | 0.976428i | ||||
\(363\) | 36.6025 | − | 2.64148i | 1.92113 | − | 0.138642i | ||||
\(364\) | 3.16096 | + | 12.8458i | 0.165679 | + | 0.673304i | ||||
\(365\) | −10.0952 | + | 22.1053i | −0.528404 | + | 1.15704i | ||||
\(366\) | 8.52330 | − | 14.7628i | 0.445520 | − | 0.771663i | ||||
\(367\) | −6.58474 | + | 19.0254i | −0.343721 | + | 0.993116i | 0.632165 | + | 0.774834i | \(0.282166\pi\) |
−0.975886 | + | 0.218282i | \(0.929955\pi\) | |||||||
\(368\) | 2.90676 | + | 11.9818i | 0.151525 | + | 0.624595i | ||||
\(369\) | 18.5793 | + | 26.0910i | 0.967201 | + | 1.35824i | ||||
\(370\) | −0.572274 | − | 3.98025i | −0.0297511 | − | 0.206924i | ||||
\(371\) | −3.57091 | − | 6.13846i | −0.185392 | − | 0.318693i | ||||
\(372\) | −10.6257 | −0.550917 | ||||||||
\(373\) | −5.63197 | − | 16.2725i | −0.291612 | − | 0.842559i | −0.991708 | − | 0.128510i | \(-0.958981\pi\) |
0.700096 | − | 0.714049i | \(-0.253141\pi\) | |||||||
\(374\) | −35.5972 | − | 16.7575i | −1.84069 | − | 0.866510i | ||||
\(375\) | 13.0598 | − | 37.7337i | 0.674404 | − | 1.94856i | ||||
\(376\) | −14.7305 | + | 2.83907i | −0.759666 | + | 0.146414i | ||||
\(377\) | 0.235024 | + | 0.0690092i | 0.0121043 | + | 0.00355416i | ||||
\(378\) | 74.0369 | − | 38.4762i | 3.80805 | − | 1.97900i | ||||
\(379\) | −0.549871 | + | 3.82444i | −0.0282450 | + | 0.196448i | −0.999058 | − | 0.0433883i | \(-0.986185\pi\) |
0.970813 | + | 0.239836i | \(0.0770938\pi\) | |||||||
\(380\) | 6.74605 | − | 3.47783i | 0.346065 | − | 0.178409i | ||||
\(381\) | −44.1068 | + | 4.21169i | −2.25966 | + | 0.215771i | ||||
\(382\) | 12.7929 | + | 6.59521i | 0.654542 | + | 0.337440i | ||||
\(383\) | −34.1602 | − | 3.26191i | −1.74551 | − | 0.166676i | −0.827032 | − | 0.562155i | \(-0.809972\pi\) |
−0.918475 | + | 0.395480i | \(0.870578\pi\) | |||||||
\(384\) | 4.03719 | + | 28.0792i | 0.206022 | + | 1.43291i | ||||
\(385\) | 5.42533 | − | 13.2323i | 0.276500 | − | 0.674381i | ||||
\(386\) | −5.13411 | + | 35.7085i | −0.261319 | + | 1.81752i | ||||
\(387\) | 19.5245 | − | 80.4810i | 0.992485 | − | 4.09108i | ||||
\(388\) | 0.304463 | − | 6.39147i | 0.0154568 | − | 0.324478i | ||||
\(389\) | −16.4531 | − | 15.6880i | −0.834204 | − | 0.795412i | 0.146847 | − | 0.989159i | \(-0.453087\pi\) |
−0.981052 | + | 0.193747i | \(0.937936\pi\) | |||||||
\(390\) | 17.9484 | − | 31.0876i | 0.908854 | − | 1.57418i | ||||
\(391\) | −10.7314 | + | 12.3847i | −0.542711 | + | 0.626322i | ||||
\(392\) | 7.79615 | − | 0.0510794i | 0.393765 | − | 0.00257990i | ||||
\(393\) | −40.4115 | + | 46.6373i | −2.03849 | + | 2.35254i | ||||
\(394\) | −16.4326 | − | 47.4787i | −0.827860 | − | 2.39194i | ||||
\(395\) | −0.312164 | + | 6.55313i | −0.0157067 | + | 0.329724i | ||||
\(396\) | −11.0191 | + | 35.9810i | −0.553730 | + | 1.80811i | ||||
\(397\) | −0.188033 | − | 3.94729i | −0.00943708 | − | 0.198109i | −0.998662 | − | 0.0517070i | \(-0.983534\pi\) |
0.989225 | − | 0.146402i | \(-0.0467692\pi\) | |||||||
\(398\) | 2.00432 | − | 13.9403i | 0.100467 | − | 0.698765i | ||||
\(399\) | −12.3231 | − | 26.7515i | −0.616925 | − | 1.33925i | ||||
\(400\) | −7.43409 | + | 8.57939i | −0.371704 | + | 0.428970i | ||||
\(401\) | −8.69208 | − | 3.47978i | −0.434062 | − | 0.173772i | 0.144333 | − | 0.989529i | \(-0.453896\pi\) |
−0.578395 | + | 0.815757i | \(0.696321\pi\) | |||||||
\(402\) | 10.2879 | − | 29.7250i | 0.513114 | − | 1.48255i | ||||
\(403\) | 4.08833 | + | 7.08120i | 0.203654 | + | 0.352740i | ||||
\(404\) | −12.5631 | − | 17.6424i | −0.625038 | − | 0.877742i | ||||
\(405\) | −51.1445 | − | 15.0174i | −2.54139 | − | 0.746220i | ||||
\(406\) | −0.165711 | + | 0.289204i | −0.00822410 | + | 0.0143529i | ||||
\(407\) | 2.78536 | − | 3.45869i | 0.138065 | − | 0.171441i | ||||
\(408\) | −17.3119 | + | 16.5069i | −0.857067 | + | 0.817211i | ||||
\(409\) | −0.210944 | + | 4.42826i | −0.0104305 | + | 0.218963i | 0.987634 | + | 0.156777i | \(0.0501103\pi\) |
−0.998065 | + | 0.0621864i | \(0.980193\pi\) | |||||||
\(410\) | −6.86329 | + | 9.63814i | −0.338953 | + | 0.475994i | ||||
\(411\) | −11.9655 | − | 9.40977i | −0.590215 | − | 0.464150i | ||||
\(412\) | −5.61477 | + | 1.64864i | −0.276620 | + | 0.0812229i | ||||
\(413\) | 11.5600 | + | 10.9504i | 0.568832 | + | 0.538833i | ||||
\(414\) | 32.0812 | + | 20.6174i | 1.57671 | + | 1.01329i | ||||
\(415\) | 20.1944 | + | 15.8810i | 0.991303 | + | 0.779569i | ||||
\(416\) | −18.8624 | + | 14.8336i | −0.924807 | + | 0.727276i | ||||
\(417\) | −28.5781 | + | 2.72888i | −1.39948 | + | 0.133634i | ||||
\(418\) | 19.1934 | + | 6.89279i | 0.938781 | + | 0.337137i | ||||
\(419\) | 13.9918 | + | 30.6378i | 0.683545 | + | 1.49676i | 0.858842 | + | 0.512240i | \(0.171184\pi\) |
−0.175297 | + | 0.984516i | \(0.556089\pi\) | |||||||
\(420\) | 14.5752 | + | 13.8065i | 0.711197 | + | 0.673691i | ||||
\(421\) | −3.95922 | − | 27.5370i | −0.192961 | − | 1.34207i | −0.824119 | − | 0.566416i | \(-0.808329\pi\) |
0.631159 | − | 0.775654i | \(-0.282580\pi\) | |||||||
\(422\) | 36.8078 | + | 3.51472i | 1.79178 | + | 0.171094i | ||||
\(423\) | −63.5188 | + | 89.1997i | −3.08839 | + | 4.33704i | ||||
\(424\) | 1.73407 | − | 2.43516i | 0.0842138 | − | 0.118262i | ||||
\(425\) | −15.0202 | − | 1.43425i | −0.728586 | − | 0.0695716i | ||||
\(426\) | 2.80055 | + | 19.4782i | 0.135687 | + | 0.943724i | ||||
\(427\) | 1.70626 | − | 7.13523i | 0.0825716 | − | 0.345298i | ||||
\(428\) | −4.20727 | − | 9.21264i | −0.203366 | − | 0.445310i | ||||
\(429\) | 38.6309 | − | 8.89943i | 1.86512 | − | 0.429669i | ||||
\(430\) | 30.4539 | − | 2.90799i | 1.46862 | − | 0.140236i | ||||
\(431\) | 6.93321 | − | 5.45234i | 0.333961 | − | 0.262630i | −0.437070 | − | 0.899428i | \(-0.643984\pi\) |
0.771031 | + | 0.636798i | \(0.219741\pi\) | |||||||
\(432\) | 65.1582 | + | 51.2410i | 3.13493 | + | 2.46533i | ||||
\(433\) | 11.8518 | + | 7.61670i | 0.569562 | + | 0.366035i | 0.793502 | − | 0.608568i | \(-0.208256\pi\) |
−0.223940 | + | 0.974603i | \(0.571892\pi\) | |||||||
\(434\) | −10.6655 | + | 3.16967i | −0.511962 | + | 0.152149i | ||||
\(435\) | 0.356671 | − | 0.104728i | 0.0171011 | − | 0.00502133i | ||||
\(436\) | −4.96805 | − | 3.90692i | −0.237927 | − | 0.187108i | ||||
\(437\) | 4.92709 | − | 6.91913i | 0.235695 | − | 0.330987i | ||||
\(438\) | 4.36159 | − | 91.5610i | 0.208405 | − | 4.37495i | ||||
\(439\) | −25.1837 | + | 24.0126i | −1.20195 | + | 1.14606i | −0.216468 | + | 0.976290i | \(0.569454\pi\) |
−0.985484 | + | 0.169769i | \(0.945698\pi\) | |||||||
\(440\) | 6.01641 | − | 0.216810i | 0.286821 | − | 0.0103360i | ||||
\(441\) | 40.9291 | − | 39.5410i | 1.94901 | − | 1.88291i | ||||
\(442\) | −40.7802 | − | 11.9741i | −1.93971 | − | 0.569552i | ||||
\(443\) | −21.7199 | − | 30.5013i | −1.03194 | − | 1.44916i | −0.888152 | − | 0.459551i | \(-0.848010\pi\) |
−0.143790 | − | 0.989608i | \(-0.545929\pi\) | |||||||
\(444\) | 3.11701 | + | 5.39882i | 0.147927 | + | 0.256217i | ||||
\(445\) | 3.18501 | − | 9.20249i | 0.150984 | − | 0.436240i | ||||
\(446\) | −11.1846 | − | 4.47764i | −0.529607 | − | 0.212023i | ||||
\(447\) | −10.2655 | + | 11.8471i | −0.485543 | + | 0.560347i | ||||
\(448\) | −2.93884 | − | 6.37976i | −0.138847 | − | 0.301415i | ||||
\(449\) | 3.45672 | − | 24.0420i | 0.163133 | − | 1.13461i | −0.729550 | − | 0.683928i | \(-0.760270\pi\) |
0.892683 | − | 0.450686i | \(-0.148821\pi\) | |||||||
\(450\) | 1.67072 | + | 35.0728i | 0.0787586 | + | 1.65335i | ||||
\(451\) | −12.9545 | + | 1.70972i | −0.610002 | + | 0.0805074i | ||||
\(452\) | 0.756789 | − | 15.8870i | 0.0355964 | − | 0.747259i | ||||
\(453\) | −9.03548 | − | 26.1063i | −0.424524 | − | 1.22658i | ||||
\(454\) | 7.23508 | − | 8.34973i | 0.339559 | − | 0.391872i | ||||
\(455\) | 3.59305 | − | 15.0254i | 0.168445 | − | 0.704403i | ||||
\(456\) | 8.11944 | − | 9.37034i | 0.380228 | − | 0.438806i | ||||
\(457\) | −15.9754 | + | 27.6703i | −0.747300 | + | 1.29436i | 0.201813 | + | 0.979424i | \(0.435317\pi\) |
−0.949113 | + | 0.314937i | \(0.898017\pi\) | |||||||
\(458\) | −7.83438 | − | 7.47007i | −0.366077 | − | 0.349053i | ||||
\(459\) | −5.24236 | + | 110.051i | −0.244693 | + | 5.13673i | ||||
\(460\) | −1.36501 | + | 5.62666i | −0.0636440 | + | 0.262344i | ||||
\(461\) | −2.21786 | + | 15.4255i | −0.103296 | + | 0.718438i | 0.870690 | + | 0.491831i | \(0.163672\pi\) |
−0.973986 | + | 0.226607i | \(0.927237\pi\) | |||||||
\(462\) | −0.447907 | + | 53.9429i | −0.0208385 | + | 2.50965i | ||||
\(463\) | −2.79507 | − | 19.4401i | −0.129898 | − | 0.903460i | −0.945680 | − | 0.325100i | \(-0.894602\pi\) |
0.815782 | − | 0.578360i | \(-0.196307\pi\) | |||||||
\(464\) | −0.329638 | − | 0.0314767i | −0.0153031 | − | 0.00146127i | ||||
\(465\) | 11.0294 | + | 5.68607i | 0.511478 | + | 0.263685i | ||||
\(466\) | −15.6132 | + | 1.49088i | −0.723266 | + | 0.0690635i | ||||
\(467\) | 22.9893 | − | 11.8518i | 1.06382 | − | 0.548436i | 0.164790 | − | 0.986329i | \(-0.447305\pi\) |
0.899027 | + | 0.437892i | \(0.144275\pi\) | |||||||
\(468\) | −5.78516 | + | 40.2366i | −0.267419 | + | 1.85994i | ||||
\(469\) | 0.599834 | − | 13.5241i | 0.0276978 | − | 0.624484i | ||||
\(470\) | −38.8129 | − | 11.3965i | −1.79030 | − | 0.525681i | ||||
\(471\) | 55.3451 | − | 10.6669i | 2.55017 | − | 0.491504i | ||||
\(472\) | −2.19234 | + | 6.33435i | −0.100911 | + | 0.291562i | ||||
\(473\) | 25.2749 | + | 22.4185i | 1.16214 | + | 1.03080i | ||||
\(474\) | −8.09377 | − | 23.3854i | −0.371759 | − | 1.07413i | ||||
\(475\) | 7.82092 | 0.358849 | ||||||||
\(476\) | 11.8176 | − | 20.6245i | 0.541660 | − | 0.945321i | ||||
\(477\) | −3.10557 | − | 21.5997i | −0.142194 | − | 0.988982i | ||||
\(478\) | −8.25414 | − | 11.5913i | −0.377535 | − | 0.530174i | ||||
\(479\) | −1.20550 | − | 4.96913i | −0.0550806 | − | 0.227045i | 0.937618 | − | 0.347667i | \(-0.113026\pi\) |
−0.992698 | + | 0.120622i | \(0.961511\pi\) | |||||||
\(480\) | −11.9108 | + | 34.4139i | −0.543650 | + | 1.57077i | ||||
\(481\) | 2.39859 | − | 4.15449i | 0.109366 | − | 0.189428i | ||||
\(482\) | 12.7840 | − | 27.9930i | 0.582295 | − | 1.27505i | ||||
\(483\) | 21.5791 | + | 6.25947i | 0.981881 | + | 0.284816i | ||||
\(484\) | −10.8621 | − | 10.8481i | −0.493731 | − | 0.493098i | ||||
\(485\) | −3.73626 | + | 6.47140i | −0.169655 | + | 0.293851i | ||||
\(486\) | 105.970 | − | 10.1189i | 4.80690 | − | 0.459003i | ||||
\(487\) | 6.65896 | + | 11.5337i | 0.301746 | + | 0.522640i | 0.976532 | − | 0.215374i | \(-0.0690971\pi\) |
−0.674785 | + | 0.738014i | \(0.735764\pi\) | |||||||
\(488\) | 3.03253 | − | 0.584473i | 0.137276 | − | 0.0264578i | ||||
\(489\) | 1.34923 | + | 0.396169i | 0.0610142 | + | 0.0179154i | ||||
\(490\) | 18.7484 | + | 9.51049i | 0.846965 | + | 0.429640i | ||||
\(491\) | −1.52305 | − | 10.5930i | −0.0687341 | − | 0.478056i | −0.994894 | − | 0.100925i | \(-0.967820\pi\) |
0.926160 | − | 0.377131i | \(-0.123089\pi\) | |||||||
\(492\) | 4.32458 | − | 17.8262i | 0.194967 | − | 0.803665i | ||||
\(493\) | −0.220063 | − | 0.381160i | −0.00991113 | − | 0.0171666i | ||||
\(494\) | 21.6321 | + | 4.16925i | 0.973274 | + | 0.187583i | ||||
\(495\) | 30.6921 | − | 31.4516i | 1.37951 | − | 1.41364i | ||||
\(496\) | −7.23875 | − | 8.35397i | −0.325030 | − | 0.375104i | ||||
\(497\) | 3.54342 | + | 7.69222i | 0.158944 | + | 0.345043i | ||||
\(498\) | −92.9806 | − | 27.3016i | −4.16656 | − | 1.22341i | ||||
\(499\) | −19.3168 | + | 18.4185i | −0.864739 | + | 0.824527i | −0.985766 | − | 0.168122i | \(-0.946230\pi\) |
0.121027 | + | 0.992649i | \(0.461381\pi\) | |||||||
\(500\) | −15.5070 | + | 6.20808i | −0.693495 | + | 0.277634i | ||||
\(501\) | −0.226673 | + | 4.75845i | −0.0101270 | + | 0.212592i | ||||
\(502\) | 12.2231 | + | 17.1649i | 0.545542 | + | 0.766106i | ||||
\(503\) | 22.8099 | − | 14.6590i | 1.01704 | − | 0.653615i | 0.0778372 | − | 0.996966i | \(-0.475199\pi\) |
0.939207 | + | 0.343351i | \(0.111562\pi\) | |||||||
\(504\) | 22.2697 | + | 8.83090i | 0.991970 | + | 0.393359i | ||||
\(505\) | 3.59957 | + | 25.0356i | 0.160179 | + | 1.11407i | ||||
\(506\) | −13.5622 | + | 7.62212i | −0.602912 | + | 0.338845i | ||||
\(507\) | −0.506711 | + | 0.202856i | −0.0225038 | + | 0.00900917i | ||||
\(508\) | 13.4142 | + | 12.7905i | 0.595161 | + | 0.567485i | ||||
\(509\) | 2.06984 | − | 1.06708i | 0.0917442 | − | 0.0472974i | −0.411744 | − | 0.911300i | \(-0.635080\pi\) |
0.503488 | + | 0.864002i | \(0.332050\pi\) | |||||||
\(510\) | −61.8878 | + | 18.1719i | −2.74044 | + | 0.804665i | ||||
\(511\) | −9.42626 | − | 38.3074i | −0.416993 | − | 1.69462i | ||||
\(512\) | 14.1786 | − | 16.3629i | 0.626610 | − | 0.723146i | ||||
\(513\) | −2.71731 | − | 57.0433i | −0.119972 | − | 2.51852i | ||||
\(514\) | 52.4008 | + | 10.0994i | 2.31130 | + | 0.445467i | ||||
\(515\) | 6.71034 | + | 1.29331i | 0.295693 | + | 0.0569901i | ||||
\(516\) | −42.1550 | + | 21.7324i | −1.85577 | + | 0.956716i | ||||
\(517\) | −20.0091 | − | 39.9410i | −0.879997 | − | 1.75660i | ||||
\(518\) | 4.73917 | + | 4.48924i | 0.208227 | + | 0.197246i | ||||
\(519\) | 10.8908 | − | 75.7468i | 0.478051 | − | 3.32492i | ||||
\(520\) | 6.38593 | − | 1.23079i | 0.280042 | − | 0.0539736i | ||||
\(521\) | −29.4301 | − | 5.67218i | −1.28935 | − | 0.248503i | −0.501927 | − | 0.864910i | \(-0.667375\pi\) |
−0.787427 | + | 0.616407i | \(0.788588\pi\) | |||||||
\(522\) | −0.805090 | + | 0.633130i | −0.0352378 | + | 0.0277113i | ||||
\(523\) | 35.9306 | − | 6.92505i | 1.57113 | − | 0.302811i | 0.672022 | − | 0.740531i | \(-0.265426\pi\) |
0.899111 | + | 0.437720i | \(0.144214\pi\) | |||||||
\(524\) | 25.8147 | 1.12772 | ||||||||
\(525\) | 6.83031 | + | 19.5277i | 0.298099 | + | 0.852258i | ||||
\(526\) | 2.06512 | + | 0.606373i | 0.0900433 | + | 0.0264391i | ||||
\(527\) | 3.46379 | − | 14.2779i | 0.150885 | − | 0.621956i | ||||
\(528\) | −49.0038 | + | 21.6971i | −2.13262 | + | 0.944246i | ||||
\(529\) | −3.89479 | − | 16.0545i | −0.169339 | − | 0.698023i | ||||
\(530\) | 7.16497 | − | 3.69380i | 0.311227 | − | 0.160448i | ||||
\(531\) | 20.3258 | + | 44.5073i | 0.882064 | + | 1.93145i | ||||
\(532\) | −5.08158 | + | 11.2243i | −0.220315 | + | 0.486634i | ||||
\(533\) | −13.5437 | + | 3.97678i | −0.586641 | + | 0.172253i | ||||
\(534\) | 1.74778 | + | 36.6905i | 0.0756340 | + | 1.58775i | ||||
\(535\) | −0.562775 | + | 11.8141i | −0.0243309 | + | 0.510768i | ||||
\(536\) | 5.29051 | − | 2.11800i | 0.228515 | − | 0.0914836i | ||||
\(537\) | 24.0356 | + | 9.62239i | 1.03721 | + | 0.415237i | ||||
\(538\) | −8.08574 | + | 17.7053i | −0.348601 | + | 0.763330i | ||||
\(539\) | 6.42874 | + | 22.3085i | 0.276905 | + | 0.960897i | ||||
\(540\) | 16.1706 | + | 35.4088i | 0.695874 | + | 1.52375i | ||||
\(541\) | 0.482996 | + | 10.1393i | 0.0207656 | + | 0.435924i | 0.985179 | + | 0.171527i | \(0.0548701\pi\) |
−0.964414 | + | 0.264397i | \(0.914827\pi\) | |||||||
\(542\) | 20.8103 | − | 16.3654i | 0.893880 | − | 0.702955i | ||||
\(543\) | 22.5280 | − | 31.6362i | 0.966770 | − | 1.35764i | ||||
\(544\) | 42.9221 | + | 4.09857i | 1.84027 | + | 0.175725i | ||||
\(545\) | 3.06613 | + | 6.71390i | 0.131339 | + | 0.287592i | ||||
\(546\) | 8.48215 | + | 57.6533i | 0.363003 | + | 2.46733i | ||||
\(547\) | −1.83376 | − | 12.7541i | −0.0784059 | − | 0.545325i | −0.990729 | − | 0.135854i | \(-0.956622\pi\) |
0.912323 | − | 0.409471i | \(-0.134287\pi\) | |||||||
\(548\) | 0.302992 | + | 6.36059i | 0.0129432 | + | 0.271711i | ||||
\(549\) | 13.0765 | − | 18.3634i | 0.558091 | − | 0.783729i | ||||
\(550\) | −12.9600 | − | 6.10098i | −0.552617 | − | 0.260147i | ||||
\(551\) | 0.132330 | + | 0.185832i | 0.00563745 | + | 0.00791670i | ||||
\(552\) | 1.34607 | + | 9.36213i | 0.0572926 | + | 0.398479i | ||||
\(553\) | −6.20612 | − | 8.65513i | −0.263911 | − | 0.368054i | ||||
\(554\) | 21.5321 | + | 13.8379i | 0.914812 | + | 0.587914i | ||||
\(555\) | −0.346405 | − | 7.27194i | −0.0147041 | − | 0.308677i | ||||
\(556\) | 8.69149 | + | 8.28732i | 0.368601 | + | 0.351461i | ||||
\(557\) | −30.5423 | + | 12.2273i | −1.29412 | + | 0.518086i | −0.913572 | − | 0.406676i | \(-0.866688\pi\) |
−0.380545 | + | 0.924762i | \(0.624264\pi\) | |||||||
\(558\) | −34.0351 | − | 3.24996i | −1.44082 | − | 0.137582i | ||||
\(559\) | 30.7025 | + | 19.7313i | 1.29858 | + | 0.834544i | ||||
\(560\) | −0.925417 | + | 20.8648i | −0.0391060 | + | 0.881698i | ||||
\(561\) | −61.2716 | − | 36.3275i | −2.58689 | − | 1.53375i | ||||
\(562\) | 6.76885 | − | 27.9016i | 0.285527 | − | 1.17696i | ||||
\(563\) | 2.00949 | + | 8.28324i | 0.0846900 | + | 0.349097i | 0.998353 | − | 0.0573765i | \(-0.0182735\pi\) |
−0.913663 | + | 0.406473i | \(0.866758\pi\) | |||||||
\(564\) | 62.4277 | − | 5.96112i | 2.62868 | − | 0.251008i | ||||
\(565\) | −9.28704 | + | 16.0856i | −0.390709 | + | 0.676727i | ||||
\(566\) | 9.32664 | + | 10.7635i | 0.392028 | + | 0.452425i | ||||
\(567\) | 80.2274 | − | 32.4236i | 3.36924 | − | 1.36166i | ||||
\(568\) | −2.33469 | + | 2.69438i | −0.0979615 | + | 0.113054i | ||||
\(569\) | 12.4280 | − | 2.39531i | 0.521010 | − | 0.100416i | 0.0780354 | − | 0.996951i | \(-0.475135\pi\) |
0.442975 | + | 0.896534i | \(0.353923\pi\) | |||||||
\(570\) | 31.0381 | − | 12.4258i | 1.30004 | − | 0.520458i | ||||
\(571\) | 3.81874 | + | 1.96870i | 0.159809 | + | 0.0823874i | 0.536276 | − | 0.844043i | \(-0.319831\pi\) |
−0.376467 | + | 0.926430i | \(0.622861\pi\) | |||||||
\(572\) | −13.3962 | − | 9.77511i | −0.560123 | − | 0.408718i | ||||
\(573\) | 21.9212 | + | 14.0879i | 0.915770 | + | 0.588530i | ||||
\(574\) | −0.976794 | − | 19.1830i | −0.0407706 | − | 0.800683i | ||||
\(575\) | −3.90704 | + | 4.50896i | −0.162935 | + | 0.188037i | ||||
\(576\) | −1.02700 | − | 21.5594i | −0.0427917 | − | 0.898308i | ||||
\(577\) | −4.41424 | − | 0.850776i | −0.183767 | − | 0.0354183i | 0.0965372 | − | 0.995329i | \(-0.469223\pi\) |
−0.280305 | + | 0.959911i | \(0.590435\pi\) | |||||||
\(578\) | 22.5212 | + | 39.0078i | 0.936757 | + | 1.62251i | ||||
\(579\) | −15.3983 | + | 63.4725i | −0.639930 | + | 2.63783i | ||||
\(580\) | −0.130817 | − | 0.0840709i | −0.00543187 | − | 0.00349085i | ||||
\(581\) | −41.7055 | + | 0.136623i | −1.73024 | + | 0.00566809i | ||||
\(582\) | 4.01134 | − | 27.8995i | 0.166276 | − | 1.15647i | ||||
\(583\) | 8.37837 | + | 3.00886i | 0.346997 | + | 0.124614i | ||||
\(584\) | 13.0540 | − | 10.2658i | 0.540177 | − | 0.424800i | ||||
\(585\) | 27.5366 | − | 38.6697i | 1.13850 | − | 1.59880i | ||||
\(586\) | −0.167288 | − | 3.51181i | −0.00691060 | − | 0.145071i | ||||
\(587\) | −1.81462 | + | 3.97346i | −0.0748973 | + | 0.164002i | −0.943377 | − | 0.331722i | \(-0.892370\pi\) |
0.868480 | + | 0.495725i | \(0.165098\pi\) | |||||||
\(588\) | −32.4633 | − | 2.88537i | −1.33876 | − | 0.118990i | ||||
\(589\) | −1.08379 | + | 7.53791i | −0.0446567 | + | 0.310594i | ||||
\(590\) | −13.0812 | + | 12.4729i | −0.538543 | + | 0.513500i | ||||
\(591\) | −21.4449 | − | 88.3970i | −0.882125 | − | 3.63617i | ||||
\(592\) | −2.12111 | + | 6.12855i | −0.0871771 | + | 0.251882i | ||||
\(593\) | −35.7478 | + | 6.88983i | −1.46799 | + | 0.282931i | −0.859706 | − | 0.510790i | \(-0.829353\pi\) |
−0.608282 | + | 0.793721i | \(0.708141\pi\) | |||||||
\(594\) | −39.9957 | + | 96.6460i | −1.64105 | + | 3.96543i | ||||
\(595\) | −23.3033 | + | 15.0842i | −0.955343 | + | 0.618393i | ||||
\(596\) | 6.55758 | 0.268609 | ||||||||
\(597\) | 6.01136 | − | 24.7792i | 0.246029 | − | 1.01414i | ||||
\(598\) | −13.2103 | + | 10.3887i | −0.540207 | + | 0.424824i | ||||
\(599\) | −37.7316 | + | 3.60293i | −1.54167 | + | 0.147212i | −0.830984 | − | 0.556296i | \(-0.812222\pi\) |
−0.710687 | + | 0.703508i | \(0.751616\pi\) | |||||||
\(600\) | −6.30282 | + | 6.00973i | −0.257311 | + | 0.245346i | ||||
\(601\) | −11.0502 | − | 12.7526i | −0.450747 | − | 0.520189i | 0.484210 | − | 0.874952i | \(-0.339107\pi\) |
−0.934956 | + | 0.354763i | \(0.884562\pi\) | |||||||
\(602\) | −35.8302 | + | 34.3888i | −1.46033 | + | 1.40158i | ||||
\(603\) | 17.2804 | − | 37.8388i | 0.703713 | − | 1.54092i | ||||
\(604\) | −5.77822 | + | 10.0082i | −0.235112 | + | 0.407227i | ||||
\(605\) | 5.46970 | + | 17.0729i | 0.222375 | + | 0.694112i | ||||
\(606\) | −47.7027 | − | 82.6235i | −1.93779 | − | 3.35635i | ||||
\(607\) | −6.51243 | − | 9.14542i | −0.264331 | − | 0.371201i | 0.660984 | − | 0.750400i | \(-0.270139\pi\) |
−0.925315 | + | 0.379199i | \(0.876200\pi\) | |||||||
\(608\) | −22.3493 | −0.906384 | ||||||||
\(609\) | −0.348425 | + | 0.492703i | −0.0141189 | + | 0.0199653i | ||||
\(610\) | 7.99033 | + | 2.34617i | 0.323519 | + | 0.0949938i | ||||
\(611\) | −27.9922 | − | 39.3096i | −1.13244 | − | 1.59030i | ||||
\(612\) | 57.4147 | − | 45.1515i | 2.32085 | − | 1.82514i | ||||
\(613\) | 2.53296 | + | 2.41518i | 0.102305 | + | 0.0975481i | 0.739506 | − | 0.673150i | \(-0.235059\pi\) |
−0.637200 | + | 0.770698i | \(0.719908\pi\) | |||||||
\(614\) | −20.2850 | + | 35.1347i | −0.818638 | + | 1.41792i | ||||
\(615\) | −14.0281 | + | 16.1893i | −0.565668 | + | 0.652816i | ||||
\(616\) | −7.43898 | + | 6.33854i | −0.299725 | + | 0.255387i | ||||
\(617\) | 27.2680 | + | 31.4690i | 1.09777 | + | 1.26689i | 0.961077 | + | 0.276281i | \(0.0891019\pi\) |
0.136693 | + | 0.990613i | \(0.456353\pi\) | |||||||
\(618\) | −25.3114 | + | 4.87838i | −1.01818 | + | 0.196237i | ||||
\(619\) | 6.05131 | + | 24.9438i | 0.243223 | + | 1.00258i | 0.954154 | + | 0.299316i | \(0.0967585\pi\) |
−0.710931 | + | 0.703261i | \(0.751726\pi\) | |||||||
\(620\) | −1.22380 | − | 5.04458i | −0.0491490 | − | 0.202595i | ||||
\(621\) | 34.2444 | + | 26.9301i | 1.37418 | + | 1.08067i | ||||
\(622\) | −36.0957 | − | 23.1973i | −1.44731 | − | 0.930128i | ||||
\(623\) | 5.21937 | + | 14.9220i | 0.209110 | + | 0.597839i | ||||
\(624\) | −48.7029 | + | 31.2995i | −1.94968 | + | 1.25298i | ||||
\(625\) | 7.75246 | + | 0.740270i | 0.310098 | + | 0.0296108i | ||||
\(626\) | −15.1347 | + | 11.9020i | −0.604903 | + | 0.475701i | ||||
\(627\) | 33.4054 | + | 15.7257i | 1.33408 | + | 0.628024i | ||||
\(628\) | −18.5337 | − | 14.5750i | −0.739574 | − | 0.581608i | ||||
\(629\) | −8.27056 | + | 2.42846i | −0.329769 | + | 0.0968289i | ||||
\(630\) | 42.4629 | + | 48.6817i | 1.69176 | + | 1.93952i | ||||
\(631\) | −27.0174 | + | 7.93301i | −1.07554 | + | 0.315808i | −0.771095 | − | 0.636720i | \(-0.780291\pi\) |
−0.304449 | + | 0.952529i | \(0.598472\pi\) | |||||||
\(632\) | 2.24167 | − | 3.88268i | 0.0891687 | − | 0.154445i | ||||
\(633\) | 65.7324 | + | 12.6689i | 2.61263 | + | 0.503543i | ||||
\(634\) | 21.4023 | + | 11.0336i | 0.849994 | + | 0.438202i | ||||
\(635\) | −7.07945 | − | 20.4547i | −0.280940 | − | 0.811721i | ||||
\(636\) | −8.18382 | + | 9.44464i | −0.324510 | + | 0.374504i | ||||
\(637\) | 10.5677 | + | 22.7444i | 0.418706 | + | 0.901166i | ||||
\(638\) | −0.0743195 | − | 0.411170i | −0.00294234 | − | 0.0162784i | ||||
\(639\) | 1.23828 | + | 25.9946i | 0.0489855 | + | 1.02833i | ||||
\(640\) | −12.8657 | + | 5.15066i | −0.508562 | + | 0.203598i | ||||
\(641\) | −6.37832 | + | 18.4289i | −0.251928 | + | 0.727899i | 0.746141 | + | 0.665788i | \(0.231905\pi\) |
−0.998069 | + | 0.0621112i | \(0.980217\pi\) | |||||||
\(642\) | −14.5916 | − | 42.1597i | −0.575884 | − | 1.66391i | ||||
\(643\) | −4.08492 | − | 28.4112i | −0.161093 | − | 1.12043i | −0.896577 | − | 0.442887i | \(-0.853954\pi\) |
0.735484 | − | 0.677542i | \(-0.236955\pi\) | |||||||
\(644\) | −3.93251 | − | 8.53688i | −0.154963 | − | 0.336400i | ||||
\(645\) | 55.3863 | 2.18083 | ||||||||
\(646\) | −22.9613 | − | 32.2446i | −0.903399 | − | 1.26865i | ||||
\(647\) | −9.29110 | − | 38.2985i | −0.365271 | − | 1.50567i | −0.797175 | − | 0.603748i | \(-0.793673\pi\) |
0.431904 | − | 0.901919i | \(-0.357842\pi\) | |||||||
\(648\) | 26.3631 | + | 25.1372i | 1.03564 | + | 0.987481i | ||||
\(649\) | −19.9257 | − | 1.18056i | −0.782153 | − | 0.0463411i | ||||
\(650\) | −14.8470 | − | 4.35948i | −0.582348 | − | 0.170993i | ||||
\(651\) | −19.7676 | + | 3.87709i | −0.774752 | + | 0.151955i | ||||
\(652\) | −0.244363 | − | 0.535081i | −0.00957001 | − | 0.0209554i | ||||
\(653\) | 17.4682 | + | 13.7371i | 0.683583 | + | 0.537576i | 0.898455 | − | 0.439067i | \(-0.144691\pi\) |
−0.214871 | + | 0.976642i | \(0.568933\pi\) | |||||||
\(654\) | −20.1493 | − | 19.2123i | −0.787900 | − | 0.751261i | ||||
\(655\) | −26.7955 | − | 13.8141i | −1.04699 | − | 0.539760i | ||||
\(656\) | 16.9611 | − | 8.74406i | 0.662220 | − | 0.341398i | ||||
\(657\) | 17.2519 | − | 119.989i | 0.673059 | − | 4.68123i | ||||
\(658\) | 60.8835 | − | 24.6058i | 2.37349 | − | 0.959234i | ||||
\(659\) | −19.6453 | + | 43.0172i | −0.765272 | + | 1.67571i | −0.0284789 | + | 0.999594i | \(0.509066\pi\) |
−0.736793 | + | 0.676118i | \(0.763661\pi\) | |||||||
\(660\) | −25.1229 | − | 1.48848i | −0.977907 | − | 0.0579392i | ||||
\(661\) | −3.04470 | + | 4.27568i | −0.118425 | + | 0.166305i | −0.869533 | − | 0.493874i | \(-0.835580\pi\) |
0.751108 | + | 0.660179i | \(0.229520\pi\) | |||||||
\(662\) | −24.2595 | − | 12.5066i | −0.942871 | − | 0.486084i | ||||
\(663\) | −71.4358 | − | 28.5986i | −2.77434 | − | 1.11068i | ||||
\(664\) | −7.29324 | − | 15.9700i | −0.283033 | − | 0.619755i | ||||
\(665\) | 11.2810 | − | 8.93148i | 0.437460 | − | 0.346348i | ||||
\(666\) | 8.33280 | + | 18.2463i | 0.322890 | + | 0.707030i | ||||
\(667\) | −0.173244 | − | 0.0165428i | −0.00670803 | − | 0.000640539i | ||||
\(668\) | 1.56646 | − | 1.23188i | 0.0606083 | − | 0.0476629i | ||||
\(669\) | −19.3870 | − | 9.99470i | −0.749545 | − | 0.386417i | ||||
\(670\) | 15.2969 | + | 1.46068i | 0.590971 | + | 0.0564309i | ||||
\(671\) | 4.11923 | + | 8.22257i | 0.159021 | + | 0.317429i | ||||
\(672\) | −19.5185 | − | 55.8029i | −0.752942 | − | 2.15264i | ||||
\(673\) | 6.08970 | + | 42.3548i | 0.234740 | + | 1.63266i | 0.677152 | + | 0.735844i | \(0.263214\pi\) |
−0.442411 | + | 0.896812i | \(0.645877\pi\) | |||||||
\(674\) | 30.7788 | + | 24.2047i | 1.18556 | + | 0.932332i | ||||
\(675\) | −1.90861 | + | 40.0667i | −0.0734624 | + | 1.54217i | ||||
\(676\) | 0.202942 | + | 0.104624i | 0.00780547 | + | 0.00402400i | ||||
\(677\) | 10.7841 | − | 44.4528i | 0.414468 | − | 1.70846i | −0.256134 | − | 0.966641i | \(-0.582449\pi\) |
0.670602 | − | 0.741818i | \(-0.266036\pi\) | |||||||
\(678\) | 9.97079 | − | 69.3484i | 0.382926 | − | 2.66331i | ||||
\(679\) | −1.76570 | − | 12.0015i | −0.0677614 | − | 0.460575i | ||||
\(680\) | −9.83055 | − | 6.31771i | −0.376984 | − | 0.242273i | ||||
\(681\) | 14.4765 | − | 13.8033i | 0.554739 | − | 0.528942i | ||||
\(682\) | 7.67615 | − | 11.6456i | 0.293935 | − | 0.445933i | ||||
\(683\) | 7.12014 | + | 6.78904i | 0.272444 | + | 0.259775i | 0.813967 | − | 0.580911i | \(-0.197304\pi\) |
−0.541523 | + | 0.840686i | \(0.682152\pi\) | |||||||
\(684\) | −27.4007 | + | 26.1265i | −1.04769 | + | 0.998973i | ||||
\(685\) | 3.08920 | − | 6.76441i | 0.118032 | − | 0.258455i | ||||
\(686\) | −33.4457 | + | 6.78769i | −1.27696 | + | 0.259155i | ||||
\(687\) | −12.8340 | − | 14.8113i | −0.489649 | − | 0.565085i | ||||
\(688\) | −45.8042 | − | 18.3372i | −1.74627 | − | 0.699100i | ||||
\(689\) | 9.44291 | + | 1.81997i | 0.359746 | + | 0.0693354i | ||||
\(690\) | −8.34167 | + | 24.1017i | −0.317562 | + | 0.917535i | ||||
\(691\) | 9.55726 | + | 7.51591i | 0.363575 | + | 0.285919i | 0.783189 | − | 0.621784i | \(-0.213592\pi\) |
−0.419613 | + | 0.907703i | \(0.637834\pi\) | |||||||
\(692\) | −26.9306 | + | 17.3072i | −1.02375 | + | 0.657922i | ||||
\(693\) | −7.37070 | + | 70.9580i | −0.279990 | + | 2.69547i | ||||
\(694\) | −4.14684 | − | 2.66501i | −0.157412 | − | 0.101162i | ||||
\(695\) | −4.58699 | − | 13.2532i | −0.173995 | − | 0.502724i | ||||
\(696\) | −0.249440 | − | 0.0480756i | −0.00945500 | − | 0.00182230i | ||||
\(697\) | 22.5435 | + | 11.6220i | 0.853898 | + | 0.440215i | ||||
\(698\) | 2.24109 | + | 6.47519i | 0.0848264 | + | 0.245090i | ||||
\(699\) | −28.3956 | −1.07402 | ||||||||
\(700\) | 4.30250 | − | 7.50884i | 0.162619 | − | 0.283808i | ||||
\(701\) | −16.2156 | − | 10.4211i | −0.612454 | − | 0.393600i | 0.197323 | − | 0.980339i | \(-0.436775\pi\) |
−0.809776 | + | 0.586739i | \(0.800412\pi\) | |||||||
\(702\) | −26.6382 | + | 109.804i | −1.00539 | + | 4.14428i | ||||
\(703\) | 4.14787 | − | 1.66056i | 0.156440 | − | 0.0626290i | ||||
\(704\) | 7.96659 | + | 3.75030i | 0.300252 | + | 0.141345i | ||||
\(705\) | −67.9897 | − | 27.2190i | −2.56064 | − | 1.02513i | ||||
\(706\) | 9.09111 | + | 19.9068i | 0.342148 | + | 0.749201i | ||||
\(707\) | −29.8091 | − | 28.2371i | −1.12109 | − | 1.06197i | ||||
\(708\) | 11.6403 | − | 25.4887i | 0.437469 | − | 0.957923i | ||||
\(709\) | −44.0150 | + | 22.6913i | −1.65302 | + | 0.852190i | −0.657942 | + | 0.753069i | \(0.728573\pi\) |
−0.995075 | + | 0.0991212i | \(0.968397\pi\) | |||||||
\(710\) | −8.92480 | + | 3.57295i | −0.334942 | + | 0.134090i | ||||
\(711\) | −7.71550 | − | 31.8037i | −0.289354 | − | 1.19273i | ||||
\(712\) | −4.81629 | + | 4.59232i | −0.180498 | + | 0.172105i | ||||
\(713\) | −3.80438 | − | 4.39049i | −0.142475 | − | 0.164425i | ||||
\(714\) | 60.4570 | − | 85.4913i | 2.26255 | − | 3.19943i | ||||
\(715\) | 8.67430 | + | 17.3152i | 0.324400 | + | 0.647550i | ||||
\(716\) | −3.54228 | − | 10.2347i | −0.132381 | − | 0.382490i | ||||
\(717\) | −12.8813 | − | 22.3111i | −0.481061 | − | 0.833222i | ||||
\(718\) | 17.5490 | + | 16.7329i | 0.654922 | + | 0.624467i | ||||
\(719\) | 1.41519 | + | 0.566558i | 0.0527778 | + | 0.0211290i | 0.397901 | − | 0.917428i | \(-0.369739\pi\) |
−0.345123 | + | 0.938557i | \(0.612163\pi\) | |||||||
\(720\) | −26.6600 | + | 58.3773i | −0.993560 | + | 2.17559i | ||||
\(721\) | −9.84390 | + | 5.11577i | −0.366606 | + | 0.190521i | ||||
\(722\) | −9.49118 | − | 10.9534i | −0.353225 | − | 0.407644i | ||||
\(723\) | 27.8576 | − | 48.2507i | 1.03603 | − | 1.79446i | ||||
\(724\) | −16.1731 | + | 1.54434i | −0.601067 | + | 0.0573950i | ||||
\(725\) | −0.0801192 | − | 0.138771i | −0.00297555 | − | 0.00515381i | ||||
\(726\) | −43.0885 | − | 52.1180i | −1.59917 | − | 1.93428i | ||||
\(727\) | −34.4598 | −1.27804 | −0.639022 | − | 0.769188i | \(-0.720661\pi\) | ||||
−0.639022 | + | 0.769188i | \(0.720661\pi\) | |||||||
\(728\) | −6.88753 | + | 8.00145i | −0.255269 | + | 0.296553i | ||||
\(729\) | 94.6094 | 3.50405 | ||||||||
\(730\) | 43.9712 | − | 8.47475i | 1.62745 | − | 0.313665i | ||||
\(731\) | −15.4604 | − | 63.7287i | −0.571824 | − | 2.35709i | ||||
\(732\) | −12.8519 | + | 1.22720i | −0.475019 | + | 0.0453588i | ||||
\(733\) | 6.82782 | + | 2.73345i | 0.252191 | + | 0.100962i | 0.494314 | − | 0.869284i | \(-0.335419\pi\) |
−0.242123 | + | 0.970246i | \(0.577844\pi\) | |||||||
\(734\) | 35.5959 | − | 10.4519i | 1.31387 | − | 0.385787i | ||||
\(735\) | 32.1527 | + | 20.3669i | 1.18597 | + | 0.751244i | ||||
\(736\) | 11.1649 | − | 12.8849i | 0.411542 | − | 0.474945i | ||||
\(737\) | 10.3350 | + | 13.4599i | 0.380695 | + | 0.495802i | ||||
\(738\) | 19.3043 | − | 55.7762i | 0.710602 | − | 2.05315i | ||||
\(739\) | 3.12819 | − | 9.03830i | 0.115072 | − | 0.332479i | −0.872728 | − | 0.488207i | \(-0.837651\pi\) |
0.987800 | + | 0.155728i | \(0.0497723\pi\) | |||||||
\(740\) | −2.20410 | + | 2.10161i | −0.0810245 | + | 0.0772567i | ||||
\(741\) | 38.2692 | + | 11.2368i | 1.40585 | + | 0.412796i | ||||
\(742\) | −5.39715 | + | 11.9213i | −0.198135 | + | 0.437645i | ||||
\(743\) | 9.86785 | + | 6.34168i | 0.362016 | + | 0.232654i | 0.708986 | − | 0.705223i | \(-0.249153\pi\) |
−0.346970 | + | 0.937876i | \(0.612789\pi\) | |||||||
\(744\) | −4.91884 | − | 6.90754i | −0.180333 | − | 0.253243i | ||||
\(745\) | −6.80675 | − | 3.50912i | −0.249380 | − | 0.128564i | ||||
\(746\) | −18.4056 | + | 25.8471i | −0.673878 | + | 0.946329i | ||||
\(747\) | −118.974 | − | 47.6302i | −4.35305 | − | 1.74270i | ||||
\(748\) | 5.30007 | + | 29.3225i | 0.193790 | + | 1.07214i | ||||
\(749\) | −11.1885 | − | 15.6036i | −0.408819 | − | 0.570144i | ||||
\(750\) | −70.5987 | + | 20.7297i | −2.57790 | + | 0.756940i | ||||
\(751\) | −26.9246 | + | 13.8806i | −0.982493 | + | 0.506510i | −0.873128 | − | 0.487492i | \(-0.837912\pi\) |
−0.109365 | + | 0.994002i | \(0.534882\pi\) | |||||||
\(752\) | 47.2155 | + | 45.0199i | 1.72177 | + | 1.64171i | ||||
\(753\) | 19.0751 | + | 33.0391i | 0.695137 | + | 1.20401i | ||||
\(754\) | −0.147627 | − | 0.426540i | −0.00537625 | − | 0.0155337i | ||||
\(755\) | 11.3534 | − | 7.29638i | 0.413192 | − | 0.265542i | ||||
\(756\) | −56.2619 | − | 28.7721i | −2.04623 | − | 1.04643i | ||||
\(757\) | −14.7721 | + | 17.0479i | −0.536901 | + | 0.619617i | −0.957781 | − | 0.287499i | \(-0.907176\pi\) |
0.420880 | + | 0.907117i | \(0.361721\pi\) | |||||||
\(758\) | 6.32834 | − | 3.26248i | 0.229855 | − | 0.118499i | ||||
\(759\) | −25.7543 | + | 11.4031i | −0.934822 | + | 0.413905i | ||||
\(760\) | 5.38374 | + | 2.77551i | 0.195289 | + | 0.100678i | ||||
\(761\) | 13.4196 | + | 10.5533i | 0.486460 | + | 0.382556i | 0.831051 | − | 0.556197i | \(-0.187740\pi\) |
−0.344591 | + | 0.938753i | \(0.611982\pi\) | |||||||
\(762\) | 53.4666 | + | 61.7038i | 1.93689 | + | 2.23529i | ||||
\(763\) | −10.6679 | − | 5.45552i | −0.386203 | − | 0.197503i | ||||
\(764\) | −1.55131 | − | 10.7896i | −0.0561243 | − | 0.390353i | ||||
\(765\) | −83.7579 | + | 16.1430i | −3.02828 | + | 0.583652i | ||||
\(766\) | 31.6169 | + | 54.7621i | 1.14236 | + | 1.97863i | ||||
\(767\) | −21.4649 | + | 2.04965i | −0.775053 | + | 0.0740086i | ||||
\(768\) | 50.6528 | − | 48.2973i | 1.82777 | − | 1.74278i | ||||
\(769\) | 29.9994 | − | 8.80861i | 1.08181 | − | 0.317647i | 0.308205 | − | 0.951320i | \(-0.400272\pi\) |
0.773601 | + | 0.633673i | \(0.218454\pi\) | |||||||
\(770\) | −25.6611 | + | 6.00015i | −0.924762 | + | 0.216231i | ||||
\(771\) | 92.7018 | + | 27.2197i | 3.33858 | + | 0.980294i | ||||
\(772\) | 24.2849 | − | 12.5197i | 0.874031 | − | 0.450594i | ||||
\(773\) | −17.1719 | + | 24.1145i | −0.617629 | + | 0.867339i | −0.998354 | − | 0.0573494i | \(-0.981735\pi\) |
0.380725 | + | 0.924688i | \(0.375675\pi\) | |||||||
\(774\) | −141.674 | + | 56.7175i | −5.09235 | + | 2.03867i | ||||
\(775\) | 1.26108 | − | 5.19822i | 0.0452992 | − | 0.186726i | ||||
\(776\) | 4.29590 | − | 2.76081i | 0.154214 | − | 0.0991073i | ||||
\(777\) | 7.76865 | + | 8.90638i | 0.278699 | + | 0.319515i | ||||
\(778\) | −5.96178 | + | 41.4651i | −0.213740 | + | 1.48660i | ||||
\(779\) | −12.2049 | − | 4.88609i | −0.437284 | − | 0.175062i | ||||
\(780\) | −27.0636 | + | 2.58426i | −0.969031 | + | 0.0925312i | ||||
\(781\) | −9.60549 | − | 4.52182i | −0.343712 | − | 0.161804i | ||||
\(782\) | 30.0604 | + | 2.87042i | 1.07496 | + | 0.102646i | ||||
\(783\) | −0.984311 | + | 0.632578i | −0.0351764 | + | 0.0226065i | ||||
\(784\) | −19.8471 | − | 27.4884i | −0.708825 | − | 0.981729i | ||||
\(785\) | 11.4384 | + | 25.0467i | 0.408255 | + | 0.893954i | ||||
\(786\) | 113.199 | + | 10.8092i | 4.03767 | + | 0.385551i | ||||
\(787\) | −15.2556 | + | 21.4235i | −0.543805 | + | 0.763667i | −0.991442 | − | 0.130548i | \(-0.958326\pi\) |
0.447637 | + | 0.894215i | \(0.352266\pi\) | |||||||
\(788\) | −22.0718 | + | 30.9955i | −0.786274 | + | 1.10417i | ||||
\(789\) | 3.61752 | + | 1.44824i | 0.128787 | + | 0.0515586i | ||||
\(790\) | 10.1701 | − | 6.53593i | 0.361836 | − | 0.232538i | ||||
\(791\) | −4.38891 | − | 29.8315i | −0.156052 | − | 1.06069i | ||||
\(792\) | −28.4914 | + | 9.49302i | −1.01240 | + | 0.337320i | ||||
\(793\) | 5.76270 | + | 8.09259i | 0.204640 | + | 0.287376i | ||||
\(794\) | −5.72401 | + | 4.50141i | −0.203138 | + | 0.159749i | ||||
\(795\) | 13.5488 | − | 5.42414i | 0.480528 | − | 0.192374i | ||||
\(796\) | −9.48062 | + | 4.88760i | −0.336032 | + | 0.173236i | ||||
\(797\) | 11.9946 | − | 7.70846i | 0.424871 | − | 0.273048i | −0.310684 | − | 0.950513i | \(-0.600558\pi\) |
0.735555 | + | 0.677465i | \(0.236922\pi\) | |||||||
\(798\) | −26.9829 | + | 47.0914i | −0.955185 | + | 1.66702i | ||||
\(799\) | −12.3402 | + | 85.8283i | −0.436566 | + | 3.03639i | ||||
\(800\) | 15.6269 | + | 1.49218i | 0.552493 | + | 0.0527566i | ||||
\(801\) | −2.31138 | + | 48.5217i | −0.0816684 | + | 1.71443i | ||||
\(802\) | 4.06752 | + | 16.7665i | 0.143629 | + | 0.592047i | ||||
\(803\) | 39.9487 | + | 29.1503i | 1.40976 | + | 1.02869i | ||||
\(804\) | −22.8576 | + | 6.71159i | −0.806125 | + | 0.236700i | ||||
\(805\) | −0.486359 | + | 10.9656i | −0.0171419 | + | 0.386488i | ||||
\(806\) | 6.25916 | − | 13.7056i | 0.220469 | − | 0.482761i | ||||
\(807\) | −17.6196 | + | 30.5181i | −0.620240 | + | 1.07429i | ||||
\(808\) | 5.65326 | − | 16.3340i | 0.198881 | − | 0.574629i | ||||
\(809\) | −0.697774 | + | 0.548735i | −0.0245324 | + | 0.0192925i | −0.630350 | − | 0.776311i | \(-0.717089\pi\) |
0.605818 | + | 0.795604i | \(0.292846\pi\) | |||||||
\(810\) | 32.1257 | + | 92.8212i | 1.12878 | + | 3.26140i | ||||
\(811\) | −16.3191 | − | 18.8332i | −0.573040 | − | 0.661324i | 0.393053 | − | 0.919516i | \(-0.371419\pi\) |
−0.966094 | + | 0.258192i | \(0.916873\pi\) | |||||||
\(812\) | 0.251215 | − | 0.0248188i | 0.00881591 | − | 0.000870970i | ||||
\(813\) | 40.3221 | − | 25.9134i | 1.41416 | − | 0.908823i | ||||
\(814\) | −8.16879 | − | 0.483986i | −0.286316 | − | 0.0169637i | ||||
\(815\) | −0.0326867 | + | 0.686177i | −0.00114496 | + | 0.0240357i | ||||
\(816\) | 102.144 | + | 19.6867i | 3.57577 | + | 0.689173i | ||||
\(817\) | 11.1174 | + | 32.1216i | 0.388948 | + | 1.12379i | ||||
\(818\) | 6.87241 | − | 4.41663i | 0.240288 | − | 0.154424i | ||||
\(819\) | 3.91905 | + | 76.9653i | 0.136943 | + | 2.68938i | ||||
\(820\) | 8.96109 | 0.312935 | ||||||||
\(821\) | −1.07389 | + | 4.42663i | −0.0374789 | + | 0.154490i | −0.987476 | − | 0.157768i | \(-0.949570\pi\) |
0.949997 | + | 0.312258i | \(0.101085\pi\) | |||||||
\(822\) | −1.33468 | + | 28.0185i | −0.0465524 | + | 0.977256i | ||||
\(823\) | 20.8467 | + | 19.8773i | 0.726671 | + | 0.692879i | 0.960151 | − | 0.279482i | \(-0.0901628\pi\) |
−0.233480 | + | 0.972362i | \(0.575011\pi\) | |||||||
\(824\) | −3.67093 | − | 2.88685i | −0.127883 | − | 0.100568i | ||||
\(825\) | −22.3074 | − | 13.2259i | −0.776644 | − | 0.460467i | ||||
\(826\) | 4.08059 | − | 29.0566i | 0.141982 | − | 1.01101i | ||||
\(827\) | −13.6975 | − | 29.9933i | −0.476308 | − | 1.04297i | −0.983462 | − | 0.181113i | \(-0.942030\pi\) |
0.507154 | − | 0.861855i | \(-0.330697\pi\) | |||||||
\(828\) | −1.37425 | − | 28.8490i | −0.0477585 | − | 1.00257i | ||||
\(829\) | 10.0014 | − | 0.955021i | 0.347364 | − | 0.0331693i | 0.0800840 | − | 0.996788i | \(-0.474481\pi\) |
0.267280 | + | 0.963619i | \(0.413875\pi\) | |||||||
\(830\) | 2.25257 | − | 47.2872i | 0.0781877 | − | 1.64136i | ||||
\(831\) | 36.4251 | + | 28.6450i | 1.26357 | + | 0.993684i | ||||
\(832\) | 9.12653 | + | 2.67979i | 0.316406 | + | 0.0929050i | ||||
\(833\) | 14.4595 | − | 42.6808i | 0.500994 | − | 1.47880i | ||||
\(834\) | 34.6426 | + | 39.9797i | 1.19958 | + | 1.38439i | ||||
\(835\) | −2.28519 | + | 0.440435i | −0.0790824 | + | 0.0152419i | ||||
\(836\) | −4.17953 | − | 14.8689i | −0.144552 | − | 0.514253i | ||||
\(837\) | −38.3523 | − | 7.39180i | −1.32565 | − | 0.255498i | ||||
\(838\) | 31.0327 | − | 53.7502i | 1.07201 | − | 1.85677i | ||||
\(839\) | 10.3870 | − | 3.04991i | 0.358600 | − | 0.105294i | −0.0974698 | − | 0.995238i | \(-0.531075\pi\) |
0.456070 | + | 0.889944i | \(0.349257\pi\) | |||||||
\(840\) | −2.22821 | + | 15.8663i | −0.0768806 | + | 0.547441i | ||||
\(841\) | −12.0451 | + | 26.3751i | −0.415348 | + | 0.909485i | ||||
\(842\) | −37.1019 | + | 35.3766i | −1.27861 | + | 1.21916i | ||||
\(843\) | 17.0009 | − | 49.1210i | 0.585544 | − | 1.69182i | ||||
\(844\) | −14.0017 | − | 24.2516i | −0.481958 | − | 0.834775i | ||||
\(845\) | −0.154666 | − | 0.217199i | −0.00532069 | − | 0.00747186i | ||||
\(846\) | 201.785 | 6.93752 | ||||||||
\(847\) | −24.1656 | − | 16.2181i | −0.830339 | − | 0.557259i | ||||
\(848\) | −13.0006 | −0.446444 | ||||||||
\(849\) | 14.9567 | + | 21.0037i | 0.513313 | + | 0.720847i | ||||
\(850\) | 13.9019 | + | 24.0788i | 0.476831 | + | 0.825895i | ||||
\(851\) | −1.11476 | + | 3.22090i | −0.0382136 | + | 0.110411i | ||||
\(852\) | 10.7863 | − | 10.2847i | 0.369532 | − | 0.352348i | ||||
\(853\) | −10.1138 | + | 22.1461i | −0.346289 | + | 0.758266i | 0.653710 | + | 0.756745i | \(0.273212\pi\) |
−0.999999 | + | 0.00152139i | \(0.999516\pi\) | |||||||
\(854\) | −12.5340 | + | 5.06555i | −0.428903 | + | 0.173339i | ||||
\(855\) | 42.4228 | − | 12.4565i | 1.45083 | − | 0.426002i | ||||
\(856\) | 4.04132 | − | 6.99976i | 0.138129 | − | 0.239247i | ||||
\(857\) | 11.7833 | + | 2.27104i | 0.402509 | + | 0.0775772i | 0.386488 | − | 0.922294i | \(-0.373688\pi\) |
0.0160208 | + | 0.999872i | \(0.494900\pi\) | |||||||
\(858\) | −54.6501 | − | 48.4737i | −1.86572 | − | 1.65487i | ||||
\(859\) | −4.89459 | + | 0.943355i | −0.167001 | + | 0.0321868i | −0.272066 | − | 0.962278i | \(-0.587707\pi\) |
0.105065 | + | 0.994465i | \(0.466495\pi\) | |||||||
\(860\) | −15.1727 | − | 17.5102i | −0.517384 | − | 0.597093i | ||||
\(861\) | 1.54086 | − | 34.7409i | 0.0525125 | − | 1.18397i | ||||
\(862\) | −15.5949 | − | 4.57907i | −0.531164 | − | 0.155964i | ||||
\(863\) | −36.7999 | − | 28.9398i | −1.25268 | − | 0.985122i | −0.999845 | − | 0.0176136i | \(-0.994393\pi\) |
−0.252840 | − | 0.967508i | \(-0.581364\pi\) | |||||||
\(864\) | 5.45410 | − | 114.496i | 0.185552 | − | 3.89522i | ||||
\(865\) | 37.2153 | − | 3.55363i | 1.26536 | − | 0.120827i | ||||
\(866\) | −1.23526 | − | 25.9312i | −0.0419758 | − | 0.881179i | ||||
\(867\) | 33.8760 | + | 74.1780i | 1.15049 | + | 2.51922i | ||||
\(868\) | 6.64091 | + | 5.18735i | 0.225407 | + | 0.176070i | ||||
\(869\) | 12.9371 | + | 3.29758i | 0.438861 | + | 0.111863i | ||||
\(870\) | −0.538438 | − | 0.423432i | −0.0182547 | − | 0.0143557i | ||||
\(871\) | 13.2674 | + | 12.6505i | 0.449549 | + | 0.428644i | ||||
\(872\) | 0.240000 | − | 5.03822i | 0.00812742 | − | 0.170616i | ||||
\(873\) | 8.78802 | − | 36.2247i | 0.297429 | − | 1.22602i | ||||
\(874\) | −15.6523 | −0.529446 | ||||||||
\(875\) | −26.5834 | + | 17.2074i | −0.898681 | + | 0.581716i | ||||
\(876\) | −58.4022 | + | 37.5328i | −1.97323 | + | 1.26812i | ||||
\(877\) | 7.07057 | + | 20.4291i | 0.238756 | + | 0.689841i | 0.999183 | + | 0.0404170i | \(0.0128686\pi\) |
−0.760427 | + | 0.649424i | \(0.775010\pi\) | |||||||
\(878\) | 62.9619 | + | 12.1349i | 2.12486 | + | 0.409533i | ||||
\(879\) | 0.302868 | − | 6.35798i | 0.0102155 | − | 0.214449i | ||||
\(880\) | −15.9447 | − | 20.7658i | −0.537496 | − | 0.700013i | ||||
\(881\) | 20.4272 | − | 13.1278i | 0.688211 | − | 0.442287i | −0.149238 | − | 0.988801i | \(-0.547682\pi\) |
0.837450 | + | 0.546515i | \(0.184046\pi\) | |||||||
\(882\) | −103.100 | − | 19.1713i | −3.47157 | − | 0.645530i | ||||
\(883\) | 16.1821 | + | 18.6752i | 0.544572 | + | 0.628470i | 0.959610 | − | 0.281334i | \(-0.0907770\pi\) |
−0.415037 | + | 0.909804i | \(0.636232\pi\) | |||||||
\(884\) | 10.5280 | + | 30.4186i | 0.354094 | + | 1.02309i | ||||
\(885\) | −25.7222 | + | 20.2282i | −0.864642 | + | 0.679962i | ||||
\(886\) | −22.5674 | + | 65.2043i | −0.758167 | + | 2.19058i | ||||
\(887\) | 11.0134 | − | 19.0758i | 0.369795 | − | 0.640503i | −0.619739 | − | 0.784808i | \(-0.712761\pi\) |
0.989533 | + | 0.144305i | \(0.0460947\pi\) | |||||||
\(888\) | −2.06673 | + | 4.52552i | −0.0693551 | + | 0.151866i | ||||
\(889\) | 29.6222 | + | 18.9002i | 0.993497 | + | 0.633892i | ||||
\(890\) | −17.2176 | + | 5.05554i | −0.577135 | + | 0.169462i | ||||
\(891\) | −50.8183 | + | 95.8328i | −1.70248 | + | 3.21052i | ||||
\(892\) | 2.15114 | + | 8.86711i | 0.0720254 | + | 0.296893i | ||||
\(893\) | 2.13859 | − | 44.8945i | 0.0715651 | − | 1.50234i | ||||
\(894\) | 28.7554 | + | 2.74581i | 0.961724 | + | 0.0918335i | ||||
\(895\) | −1.79999 | + | 12.5192i | −0.0601670 | + | 0.418470i | ||||
\(896\) | 11.1848 | − | 19.5200i | 0.373658 | − | 0.652118i | ||||
\(897\) | −25.5962 | + | 16.4497i | −0.854631 | + | 0.549238i | ||||
\(898\) | −39.7826 | + | 20.5094i | −1.32756 | + | 0.684406i | ||||
\(899\) | 0.144852 | − | 0.0579898i | 0.00483107 | − | 0.00193407i | ||||
\(900\) | 20.9032 | − | 16.4385i | 0.696774 | − | 0.547950i | ||||
\(901\) | −10.0231 | − | 14.0755i | −0.333919 | − | 0.468923i | ||||
\(902\) | 16.4131 | + | 17.6175i | 0.546495 | + | 0.586600i | ||||
\(903\) | −70.4935 | + | 55.8114i | −2.34588 | + | 1.85729i | ||||
\(904\) | 10.6781 | − | 6.86240i | 0.355149 | − | 0.228240i | ||||
\(905\) | 17.6140 | + | 7.05158i | 0.585509 | + | 0.234402i | ||||
\(906\) | −29.5285 | + | 41.4670i | −0.981018 | + | 1.37765i | ||||
\(907\) | −10.8960 | + | 15.3013i | −0.361796 | + | 0.508072i | −0.954849 | − | 0.297092i | \(-0.903983\pi\) |
0.593053 | + | 0.805164i | \(0.297923\pi\) | |||||||
\(908\) | −8.32957 | − | 0.795378i | −0.276427 | − | 0.0263955i | ||||
\(909\) | −52.4129 | − | 114.768i | −1.73843 | − | 3.80662i | ||||
\(910\) | −26.3941 | + | 10.6671i | −0.874957 | + | 0.353610i | ||||
\(911\) | −39.5574 | + | 25.4220i | −1.31060 | + | 0.842268i | −0.994323 | − | 0.106400i | \(-0.966068\pi\) |
−0.316272 | + | 0.948669i | \(0.602431\pi\) | |||||||
\(912\) | −53.6754 | − | 5.12538i | −1.77737 | − | 0.169718i | ||||
\(913\) | 39.9051 | − | 33.7769i | 1.32066 | − | 1.11785i | ||||
\(914\) | 58.6097 | − | 5.59655i | 1.93864 | − | 0.185117i | ||||
\(915\) | 13.9969 | + | 5.60351i | 0.462723 | + | 0.185246i | ||||
\(916\) | −1.16674 | + | 8.11488i | −0.0385503 | + | 0.268123i | ||||
\(917\) | 48.0244 | − | 9.41922i | 1.58591 | − | 0.311050i | ||||
\(918\) | 170.793 | − | 109.762i | 5.63700 | − | 3.62268i | ||||
\(919\) | −1.29320 | + | 5.33063i | −0.0426586 | + | 0.175841i | −0.989156 | − | 0.146872i | \(-0.953080\pi\) |
0.946497 | + | 0.322713i | \(0.104595\pi\) | |||||||
\(920\) | −4.28966 | + | 1.71732i | −0.141426 | + | 0.0566184i | ||||
\(921\) | −42.6055 | + | 59.8310i | −1.40390 | + | 1.97150i | ||||
\(922\) | 25.5248 | − | 13.1589i | 0.840614 | − | 0.433367i | ||||
\(923\) | −11.0041 | − | 3.23108i | −0.362203 | − | 0.106352i | ||||
\(924\) | 33.4754 | − | 23.4213i | 1.10126 | − | 0.770503i | ||||
\(925\) | −3.01110 | + | 0.884139i | −0.0990043 | + | 0.0290703i | ||||
\(926\) | −26.1926 | + | 24.9746i | −0.860743 | + | 0.820716i | ||||
\(927\) | −33.9351 | + | 3.24041i | −1.11457 | + | 0.106429i | ||||
\(928\) | 0.228951 | + | 0.396555i | 0.00751569 | + | 0.0130176i | ||||
\(929\) | 12.2670 | − | 2.36427i | 0.402468 | − | 0.0775693i | 0.0159994 | − | 0.999872i | \(-0.494907\pi\) |
0.386468 | + | 0.922303i | \(0.373695\pi\) | |||||||
\(930\) | −3.25417 | − | 22.6332i | −0.106708 | − | 0.742172i | ||||
\(931\) | −5.35804 | + | 22.7353i | −0.175603 | + | 0.745119i | ||||
\(932\) | 7.77876 | + | 8.97717i | 0.254802 | + | 0.294057i | ||||
\(933\) | −61.0618 | − | 48.0195i | −1.99907 | − | 1.57209i | ||||
\(934\) | −42.3626 | − | 21.8395i | −1.38615 | − | 0.714609i | ||||
\(935\) | 10.1897 | − | 33.2728i | 0.333239 | − | 1.08814i | ||||
\(936\) | −28.8351 | + | 14.8655i | −0.942503 | + | 0.485894i | ||||
\(937\) | −7.55945 | + | 8.72407i | −0.246956 | + | 0.285003i | −0.865671 | − | 0.500613i | \(-0.833108\pi\) |
0.618715 | + | 0.785615i | \(0.287654\pi\) | |||||||
\(938\) | −20.9412 | + | 13.5552i | −0.683754 | + | 0.442594i | ||||
\(939\) | −29.3249 | + | 18.8460i | −0.956982 | + | 0.615015i | ||||
\(940\) | 10.0201 | + | 28.9511i | 0.326819 | + | 0.944282i | ||||
\(941\) | −18.7234 | − | 32.4299i | −0.610366 | − | 1.05718i | −0.991179 | − | 0.132532i | \(-0.957689\pi\) |
0.380813 | − | 0.924652i | \(-0.375644\pi\) | |||||||
\(942\) | −75.1684 | − | 71.6729i | −2.44912 | − | 2.33523i | ||||
\(943\) | 8.91403 | − | 4.59550i | 0.290281 | − | 0.149650i | ||||
\(944\) | 27.9692 | − | 8.21251i | 0.910322 | − | 0.267295i | ||||
\(945\) | 43.0030 | + | 59.9725i | 1.39889 | + | 1.95091i | ||||
\(946\) | 6.63496 | − | 61.9010i | 0.215721 | − | 2.01258i | ||||
\(947\) | 18.5395 | + | 7.42209i | 0.602453 | + | 0.241186i | 0.652781 | − | 0.757547i | \(-0.273602\pi\) |
−0.0503279 | + | 0.998733i | \(0.516027\pi\) | |||||||
\(948\) | −10.8713 | + | 15.2667i | −0.353085 | + | 0.495838i | ||||
\(949\) | 47.4834 | + | 24.4794i | 1.54138 | + | 0.794636i | ||||
\(950\) | −8.35961 | − | 11.7394i | −0.271222 | − | 0.380877i | ||||
\(951\) | 36.6737 | + | 23.5687i | 1.18923 | + | 0.764269i | ||||
\(952\) | 18.8782 | − | 1.86507i | 0.611844 | − | 0.0604473i | ||||
\(953\) | 19.2892 | + | 5.66383i | 0.624840 | + | 0.183470i | 0.578799 | − | 0.815470i | \(-0.303521\pi\) |
0.0460407 | + | 0.998940i | \(0.485340\pi\) | |||||||
\(954\) | −29.1023 | + | 27.7490i | −0.942222 | + | 0.898407i | ||||
\(955\) | −4.16351 | + | 12.0297i | −0.134728 | + | 0.389271i | ||||
\(956\) | −3.52483 | + | 10.1843i | −0.114001 | + | 0.329385i | ||||
\(957\) | −0.0631828 | − | 0.753826i | −0.00204241 | − | 0.0243677i | ||||
\(958\) | −6.17027 | + | 7.12087i | −0.199352 | + | 0.230065i | ||||
\(959\) | 2.88452 | + | 11.7224i | 0.0931459 | + | 0.378536i | ||||
\(960\) | 13.8504 | − | 4.06684i | 0.447019 | − | 0.131257i | ||||
\(961\) | −23.9440 | − | 9.58575i | −0.772388 | − | 0.309218i | ||||
\(962\) | −8.79980 | + | 0.840279i | −0.283717 | + | 0.0270917i | ||||
\(963\) | −13.9096 | − | 57.3363i | −0.448232 | − | 1.84764i | ||||
\(964\) | −22.8857 | + | 4.41085i | −0.737098 | + | 0.142064i | ||||
\(965\) | −31.9072 | −1.02713 | ||||||||
\(966\) | −13.6697 | − | 39.0814i | −0.439816 | − | 1.25742i | ||||
\(967\) | −20.4092 | −0.656317 | −0.328159 | − | 0.944623i | \(-0.606428\pi\) | ||||
−0.328159 | + | 0.944623i | \(0.606428\pi\) | |||||||
\(968\) | 2.02389 | − | 12.0830i | 0.0650502 | − | 0.388363i | ||||
\(969\) | −35.8331 | − | 62.0647i | −1.15112 | − | 1.99381i | ||||
\(970\) | 13.7074 | − | 1.30889i | 0.440117 | − | 0.0420261i | ||||
\(971\) | 27.9849 | − | 48.4714i | 0.898080 | − | 1.55552i | 0.0681336 | − | 0.997676i | \(-0.478296\pi\) |
0.829946 | − | 0.557844i | \(-0.188371\pi\) | |||||||
\(972\) | −52.7962 | − | 60.9300i | −1.69344 | − | 1.95433i | ||||
\(973\) | 19.1931 | + | 12.2460i | 0.615303 | + | 0.392589i | ||||
\(974\) | 10.1947 | − | 22.3234i | 0.326661 | − | 0.715287i | ||||
\(975\) | −26.0079 | − | 10.4120i | −0.832921 | − | 0.333451i | ||||
\(976\) | −9.72016 | − | 9.26815i | −0.311135 | − | 0.296666i | ||||
\(977\) | −3.28827 | − | 5.69544i | −0.105201 | − | 0.182213i | 0.808619 | − | 0.588332i | \(-0.200215\pi\) |
−0.913820 | + | 0.406119i | \(0.866882\pi\) | |||||||
\(978\) | −0.847498 | − | 2.44869i | −0.0271000 | − | 0.0783003i | ||||
\(979\) | −17.0462 | − | 10.1066i | −0.544798 | − | 0.323007i | ||||
\(980\) | −2.36908 | − | 15.7443i | −0.0756775 | − | 0.502935i | ||||
\(981\) | −24.1109 | − | 27.8254i | −0.769801 | − | 0.888398i | ||||
\(982\) | −14.2725 | + | 13.6088i | −0.455453 | + | 0.434274i | ||||
\(983\) | −4.40290 | − | 18.1490i | −0.140431 | − | 0.578864i | −0.997926 | − | 0.0643718i | \(-0.979496\pi\) |
0.857495 | − | 0.514492i | \(-0.172019\pi\) | |||||||
\(984\) | 13.5903 | − | 5.44075i | 0.433244 | − | 0.173445i | ||||
\(985\) | 39.4968 | − | 20.3620i | 1.25847 | − | 0.648788i | ||||
\(986\) | −0.336912 | + | 0.737734i | −0.0107295 | + | 0.0234942i | ||||
\(987\) | 113.962 | − | 33.8683i | 3.62747 | − | 1.07804i | ||||
\(988\) | −6.93107 | − | 15.1769i | −0.220507 | − | 0.482842i | ||||
\(989\) | −24.0727 | − | 9.63726i | −0.765468 | − | 0.306447i | ||||
\(990\) | −80.0158 | − | 12.4518i | −2.54307 | − | 0.395745i | ||||
\(991\) | 9.84404 | − | 3.94096i | 0.312706 | − | 0.125189i | −0.210000 | − | 0.977701i | \(-0.567347\pi\) |
0.522707 | + | 0.852513i | \(0.324922\pi\) | |||||||
\(992\) | −3.60369 | + | 14.8546i | −0.114417 | + | 0.471634i | ||||
\(993\) | −41.5696 | − | 26.7151i | −1.31917 | − | 0.847779i | ||||
\(994\) | 7.75876 | − | 13.5408i | 0.246093 | − | 0.429489i | ||||
\(995\) | 12.4563 | 0.394892 | ||||||||
\(996\) | 24.0042 | + | 69.3557i | 0.760603 | + | 2.19762i | ||||
\(997\) | −5.02987 | − | 2.59308i | −0.159298 | − | 0.0821236i | 0.376734 | − | 0.926321i | \(-0.377047\pi\) |
−0.536032 | + | 0.844198i | \(0.680077\pi\) | |||||||
\(998\) | 48.2940 | + | 9.30791i | 1.52872 | + | 0.294637i | ||||
\(999\) | 7.49480 | + | 21.6548i | 0.237125 | + | 0.685128i |
(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 | 847.2.u.a.23.18 | ✓ | 1720 | |
7.4 | even | 3 | inner | 847.2.u.a.144.69 | yes | 1720 | |
121.100 | even | 11 | inner | 847.2.u.a.100.69 | yes | 1720 | |
847.221 | even | 33 | inner | 847.2.u.a.221.18 | yes | 1720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
847.2.u.a.23.18 | ✓ | 1720 | 1.1 | even | 1 | trivial | |
847.2.u.a.100.69 | yes | 1720 | 121.100 | even | 11 | inner | |
847.2.u.a.144.69 | yes | 1720 | 7.4 | even | 3 | inner | |
847.2.u.a.221.18 | yes | 1720 | 847.221 | even | 33 | inner |