Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 178.17 | ||
Character | \(\chi\) | \(=\) | 483.178 |
Dual form | 483.2.bf.a.19.17 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.174212 | − | 0.0166352i | 0.123186 | − | 0.0117629i | −0.0332808 | − | 0.999446i | \(-0.510596\pi\) |
0.156467 | + | 0.987683i | \(0.449990\pi\) | |||||||
\(3\) | −0.690079 | − | 0.723734i | −0.398417 | − | 0.417848i | ||||
\(4\) | −1.93378 | + | 0.372706i | −0.966892 | + | 0.186353i | ||||
\(5\) | 0.315538 | + | 0.162671i | 0.141113 | + | 0.0727487i | 0.527337 | − | 0.849656i | \(-0.323191\pi\) |
−0.386224 | + | 0.922405i | \(0.626221\pi\) | |||||||
\(6\) | −0.132259 | − | 0.114603i | −0.0539946 | − | 0.0467866i | ||||
\(7\) | 2.63128 | − | 0.276333i | 0.994531 | − | 0.104444i | ||||
\(8\) | −0.666518 | + | 0.195707i | −0.235650 | + | 0.0691930i | ||||
\(9\) | −0.0475819 | + | 0.998867i | −0.0158606 | + | 0.332956i | ||||
\(10\) | 0.0576764 | + | 0.0230902i | 0.0182389 | + | 0.00730175i | ||||
\(11\) | 0.132286 | − | 1.38536i | 0.0398857 | − | 0.417702i | −0.953374 | − | 0.301791i | \(-0.902415\pi\) |
0.993260 | − | 0.115910i | \(-0.0369786\pi\) | |||||||
\(12\) | 1.60420 | + | 1.14235i | 0.463094 | + | 0.329768i | ||||
\(13\) | −0.399449 | + | 0.0574321i | −0.110787 | + | 0.0159288i | −0.197485 | − | 0.980306i | \(-0.563278\pi\) |
0.0866982 | + | 0.996235i | \(0.472368\pi\) | |||||||
\(14\) | 0.453803 | − | 0.0919123i | 0.121284 | − | 0.0245646i | ||||
\(15\) | −0.100016 | − | 0.340622i | −0.0258239 | − | 0.0879481i | ||||
\(16\) | 3.54375 | − | 1.41870i | 0.885937 | − | 0.354676i | ||||
\(17\) | 0.00865619 | + | 0.0250104i | 0.00209943 | + | 0.00606592i | 0.946046 | − | 0.324033i | \(-0.105039\pi\) |
−0.943946 | + | 0.330099i | \(0.892918\pi\) | |||||||
\(18\) | 0.00832702 | + | 0.174806i | 0.00196270 | + | 0.0412021i | ||||
\(19\) | 1.86799 | − | 5.39719i | 0.428545 | − | 1.23820i | −0.499689 | − | 0.866205i | \(-0.666553\pi\) |
0.928235 | − | 0.371995i | \(-0.121326\pi\) | |||||||
\(20\) | −0.670811 | − | 0.196968i | −0.149998 | − | 0.0440434i | ||||
\(21\) | −2.01578 | − | 1.71366i | −0.439880 | − | 0.373950i | ||||
\(22\) | − | 0.243546i | − | 0.0519243i | ||||||
\(23\) | 4.33054 | − | 2.06067i | 0.902981 | − | 0.429680i | ||||
\(24\) | 0.601590 | + | 0.347328i | 0.122799 | + | 0.0708980i | ||||
\(25\) | −2.82718 | − | 3.97022i | −0.565436 | − | 0.794044i | ||||
\(26\) | −0.0686332 | + | 0.0166502i | −0.0134601 | + | 0.00326538i | ||||
\(27\) | 0.755750 | − | 0.654861i | 0.145444 | − | 0.126028i | ||||
\(28\) | −4.98534 | + | 1.51506i | −0.942141 | + | 0.286320i | ||||
\(29\) | 3.18409 | − | 3.67464i | 0.591271 | − | 0.682363i | −0.378718 | − | 0.925512i | \(-0.623635\pi\) |
0.969989 | + | 0.243149i | \(0.0781805\pi\) | |||||||
\(30\) | −0.0230902 | − | 0.0576764i | −0.00421567 | − | 0.0105302i | ||||
\(31\) | 4.35868 | + | 1.05741i | 0.782843 | + | 0.189916i | 0.607211 | − | 0.794540i | \(-0.292288\pi\) |
0.175631 | + | 0.984456i | \(0.443803\pi\) | |||||||
\(32\) | 1.82863 | − | 0.942725i | 0.323259 | − | 0.166652i | ||||
\(33\) | −1.09392 | + | 0.860268i | −0.190427 | + | 0.149754i | ||||
\(34\) | 0.00192406 | + | 0.00421310i | 0.000329974 | + | 0.000722541i | ||||
\(35\) | 0.875221 | + | 0.340840i | 0.147939 | + | 0.0576125i | ||||
\(36\) | −0.280271 | − | 1.94933i | −0.0467118 | − | 0.324888i | ||||
\(37\) | 8.03721 | + | 0.382860i | 1.32131 | + | 0.0629417i | 0.696343 | − | 0.717710i | \(-0.254809\pi\) |
0.624967 | + | 0.780651i | \(0.285112\pi\) | |||||||
\(38\) | 0.235641 | − | 0.971327i | 0.0382261 | − | 0.157570i | ||||
\(39\) | 0.317217 | + | 0.249462i | 0.0507954 | + | 0.0399459i | ||||
\(40\) | −0.242148 | − | 0.0466701i | −0.0382869 | − | 0.00737919i | ||||
\(41\) | −6.16670 | − | 9.59557i | −0.963077 | − | 1.49858i | −0.863997 | − | 0.503497i | \(-0.832046\pi\) |
−0.0990797 | − | 0.995079i | \(-0.531590\pi\) | |||||||
\(42\) | −0.379680 | − | 0.265006i | −0.0585858 | − | 0.0408913i | ||||
\(43\) | −0.194037 | + | 0.660829i | −0.0295903 | + | 0.100775i | −0.972964 | − | 0.230956i | \(-0.925815\pi\) |
0.943374 | + | 0.331732i | \(0.107633\pi\) | |||||||
\(44\) | 0.260520 | + | 2.72829i | 0.0392749 | + | 0.411306i | ||||
\(45\) | −0.177501 | + | 0.307440i | −0.0264603 | + | 0.0458305i | ||||
\(46\) | 0.720151 | − | 0.431033i | 0.106180 | − | 0.0635523i | ||||
\(47\) | −0.862571 | + | 0.498005i | −0.125819 | + | 0.0726415i | −0.561588 | − | 0.827417i | \(-0.689810\pi\) |
0.435770 | + | 0.900058i | \(0.356476\pi\) | |||||||
\(48\) | −3.47223 | − | 1.58571i | −0.501173 | − | 0.228878i | ||||
\(49\) | 6.84728 | − | 1.45422i | 0.978183 | − | 0.207746i | ||||
\(50\) | −0.558573 | − | 0.644628i | −0.0789942 | − | 0.0911641i | ||||
\(51\) | 0.0121274 | − | 0.0235239i | 0.00169818 | − | 0.00329401i | ||||
\(52\) | 0.751043 | − | 0.259938i | 0.104151 | − | 0.0360470i | ||||
\(53\) | −8.03667 | + | 10.2195i | −1.10392 | + | 1.40375i | −0.198053 | + | 0.980191i | \(0.563462\pi\) |
−0.905869 | + | 0.423559i | \(0.860781\pi\) | |||||||
\(54\) | 0.120767 | − | 0.126656i | 0.0164342 | − | 0.0172357i | ||||
\(55\) | 0.267099 | − | 0.415615i | 0.0360157 | − | 0.0560415i | ||||
\(56\) | −1.69971 | + | 0.699142i | −0.227134 | + | 0.0934267i | ||||
\(57\) | −5.19519 | + | 2.37256i | −0.688119 | + | 0.314254i | ||||
\(58\) | 0.493577 | − | 0.693132i | 0.0648098 | − | 0.0910127i | ||||
\(59\) | −2.21707 | + | 5.53797i | −0.288638 | + | 0.720982i | 0.711200 | + | 0.702989i | \(0.248152\pi\) |
−0.999838 | + | 0.0179927i | \(0.994272\pi\) | |||||||
\(60\) | 0.320360 | + | 0.621412i | 0.0413583 | + | 0.0802240i | ||||
\(61\) | 2.73057 | + | 2.60359i | 0.349614 | + | 0.333356i | 0.844454 | − | 0.535628i | \(-0.179925\pi\) |
−0.494840 | + | 0.868984i | \(0.664773\pi\) | |||||||
\(62\) | 0.776923 | + | 0.111705i | 0.0986693 | + | 0.0141865i | ||||
\(63\) | 0.150819 | + | 2.64145i | 0.0190014 | + | 0.332791i | ||||
\(64\) | −6.11955 | + | 3.93279i | −0.764943 | + | 0.491599i | ||||
\(65\) | −0.135384 | − | 0.0468568i | −0.0167923 | − | 0.00581187i | ||||
\(66\) | −0.176263 | + | 0.168066i | −0.0216964 | + | 0.0206875i | ||||
\(67\) | 3.39259 | − | 2.41585i | 0.414470 | − | 0.295143i | −0.353736 | − | 0.935345i | \(-0.615089\pi\) |
0.768206 | + | 0.640202i | \(0.221149\pi\) | |||||||
\(68\) | −0.0260607 | − | 0.0451385i | −0.00316033 | − | 0.00547385i | ||||
\(69\) | −4.47980 | − | 1.71213i | −0.539304 | − | 0.206117i | ||||
\(70\) | 0.158143 | + | 0.0448188i | 0.0189018 | + | 0.00535687i | ||||
\(71\) | −5.73856 | + | 12.5657i | −0.681041 | + | 1.49127i | 0.180495 | + | 0.983576i | \(0.442230\pi\) |
−0.861536 | + | 0.507697i | \(0.830497\pi\) | |||||||
\(72\) | −0.163771 | − | 0.675075i | −0.0193006 | − | 0.0795583i | ||||
\(73\) | −1.45338 | − | 7.54085i | −0.170105 | − | 0.882590i | −0.962232 | − | 0.272232i | \(-0.912238\pi\) |
0.792126 | − | 0.610357i | \(-0.208974\pi\) | |||||||
\(74\) | 1.40654 | − | 0.0670019i | 0.163507 | − | 0.00778882i | ||||
\(75\) | −0.922406 | + | 4.78589i | −0.106510 | + | 0.552628i | ||||
\(76\) | −1.60071 | + | 11.1332i | −0.183614 | + | 1.27707i | ||||
\(77\) | −0.0347399 | − | 3.68183i | −0.00395898 | − | 0.419583i | ||||
\(78\) | 0.0594127 | + | 0.0381822i | 0.00672716 | + | 0.00432328i | ||||
\(79\) | 6.42067 | + | 8.16455i | 0.722382 | + | 0.918583i | 0.999102 | − | 0.0423671i | \(-0.0134899\pi\) |
−0.276720 | + | 0.960951i | \(0.589247\pi\) | |||||||
\(80\) | 1.34897 | + | 0.128811i | 0.150819 | + | 0.0144015i | ||||
\(81\) | −0.995472 | − | 0.0950560i | −0.110608 | − | 0.0105618i | ||||
\(82\) | −1.23393 | − | 1.56907i | −0.136265 | − | 0.173275i | ||||
\(83\) | −8.45954 | − | 5.43662i | −0.928556 | − | 0.596746i | −0.0134276 | − | 0.999910i | \(-0.504274\pi\) |
−0.915128 | + | 0.403163i | \(0.867911\pi\) | |||||||
\(84\) | 4.53678 | + | 2.56255i | 0.495003 | + | 0.279597i | ||||
\(85\) | −0.00133712 | + | 0.00929985i | −0.000145031 | + | 0.00100871i | ||||
\(86\) | −0.0228104 | + | 0.118352i | −0.00245971 | + | 0.0127622i | ||||
\(87\) | −4.85673 | + | 0.231355i | −0.520696 | + | 0.0248038i | ||||
\(88\) | 0.182954 | + | 0.949256i | 0.0195030 | + | 0.101191i | ||||
\(89\) | 3.10545 | + | 12.8008i | 0.329177 | + | 1.35689i | 0.860385 | + | 0.509645i | \(0.170223\pi\) |
−0.531207 | + | 0.847242i | \(0.678262\pi\) | |||||||
\(90\) | −0.0258084 | + | 0.0565124i | −0.00272044 | + | 0.00595693i | ||||
\(91\) | −1.03519 | + | 0.261501i | −0.108518 | + | 0.0274128i | ||||
\(92\) | −7.60631 | + | 5.59892i | −0.793013 | + | 0.583728i | ||||
\(93\) | −2.24256 | − | 3.88422i | −0.232542 | − | 0.402775i | ||||
\(94\) | −0.141985 | + | 0.101107i | −0.0146447 | + | 0.0104284i | ||||
\(95\) | 1.46739 | − | 1.39915i | 0.150551 | − | 0.143550i | ||||
\(96\) | −1.94418 | − | 0.672888i | −0.198427 | − | 0.0686763i | ||||
\(97\) | 10.0402 | − | 6.45243i | 1.01943 | − | 0.655146i | 0.0796102 | − | 0.996826i | \(-0.474632\pi\) |
0.939816 | + | 0.341681i | \(0.110996\pi\) | |||||||
\(98\) | 1.16868 | − | 0.367248i | 0.118055 | − | 0.0370976i | ||||
\(99\) | 1.37750 | + | 0.198054i | 0.138444 | + | 0.0199052i | ||||
\(100\) | 6.94689 | + | 6.62384i | 0.694689 | + | 0.662384i | ||||
\(101\) | −4.62404 | − | 8.96939i | −0.460109 | − | 0.892487i | −0.998752 | − | 0.0499529i | \(-0.984093\pi\) |
0.538642 | − | 0.842535i | \(-0.318937\pi\) | |||||||
\(102\) | 0.00172141 | − | 0.00429988i | 0.000170445 | − | 0.000425752i | ||||
\(103\) | −1.67950 | + | 2.35853i | −0.165486 | + | 0.232393i | −0.888989 | − | 0.457929i | \(-0.848592\pi\) |
0.723503 | + | 0.690321i | \(0.242531\pi\) | |||||||
\(104\) | 0.255000 | − | 0.116455i | 0.0250048 | − | 0.0114193i | ||||
\(105\) | −0.357294 | − | 0.868633i | −0.0348683 | − | 0.0847699i | ||||
\(106\) | −1.23008 | + | 1.91404i | −0.119476 | + | 0.185908i | ||||
\(107\) | 2.21688 | − | 2.32499i | 0.214313 | − | 0.224765i | −0.607799 | − | 0.794091i | \(-0.707947\pi\) |
0.822112 | + | 0.569326i | \(0.192796\pi\) | |||||||
\(108\) | −1.21739 | + | 1.54803i | −0.117143 | + | 0.148959i | ||||
\(109\) | 6.32903 | − | 2.19050i | 0.606211 | − | 0.209812i | −0.00668197 | − | 0.999978i | \(-0.502127\pi\) |
0.612893 | + | 0.790166i | \(0.290006\pi\) | |||||||
\(110\) | 0.0396180 | − | 0.0768481i | 0.00377742 | − | 0.00732718i | ||||
\(111\) | −5.26922 | − | 6.08101i | −0.500132 | − | 0.577184i | ||||
\(112\) | 8.93256 | − | 4.71226i | 0.844048 | − | 0.445267i | ||||
\(113\) | −6.52412 | − | 2.97946i | −0.613737 | − | 0.280284i | 0.0841937 | − | 0.996449i | \(-0.473169\pi\) |
−0.697931 | + | 0.716165i | \(0.745896\pi\) | |||||||
\(114\) | −0.865593 | + | 0.499751i | −0.0810702 | + | 0.0468059i | ||||
\(115\) | 1.70166 | + | 0.0542335i | 0.158681 | + | 0.00505730i | ||||
\(116\) | −4.78778 | + | 8.29269i | −0.444535 | + | 0.769956i | ||||
\(117\) | −0.0383605 | − | 0.401729i | −0.00354643 | − | 0.0371399i | ||||
\(118\) | −0.294114 | + | 1.00166i | −0.0270754 | + | 0.0922102i | ||||
\(119\) | 0.0296881 | + | 0.0634174i | 0.00272150 | + | 0.00581347i | ||||
\(120\) | 0.133324 | + | 0.207456i | 0.0121708 | + | 0.0189381i | ||||
\(121\) | 8.89949 | + | 1.71524i | 0.809045 | + | 0.155931i | ||||
\(122\) | 0.519008 | + | 0.408152i | 0.0469888 | + | 0.0369524i | ||||
\(123\) | −2.68913 | + | 11.0848i | −0.242471 | + | 0.999479i | ||||
\(124\) | −8.82286 | − | 0.420284i | −0.792316 | − | 0.0377427i | ||||
\(125\) | −0.498853 | − | 3.46960i | −0.0446188 | − | 0.310330i | ||||
\(126\) | 0.0702154 | + | 0.457662i | 0.00625528 | + | 0.0407718i | ||||
\(127\) | 7.92335 | + | 17.3497i | 0.703084 | + | 1.53954i | 0.836192 | + | 0.548437i | \(0.184777\pi\) |
−0.133108 | + | 0.991102i | \(0.542496\pi\) | |||||||
\(128\) | −4.23502 | + | 3.33046i | −0.374326 | + | 0.294374i | ||||
\(129\) | 0.612165 | − | 0.315593i | 0.0538981 | − | 0.0277864i | ||||
\(130\) | −0.0243649 | − | 0.00591086i | −0.00213694 | − | 0.000518417i | ||||
\(131\) | −4.99796 | − | 12.4843i | −0.436674 | − | 1.09076i | −0.969621 | − | 0.244611i | \(-0.921340\pi\) |
0.532947 | − | 0.846148i | \(-0.321084\pi\) | |||||||
\(132\) | 1.79478 | − | 2.07128i | 0.156215 | − | 0.180282i | ||||
\(133\) | 3.42377 | − | 14.7177i | 0.296879 | − | 1.27619i | ||||
\(134\) | 0.550839 | − | 0.477305i | 0.0475853 | − | 0.0412329i | ||||
\(135\) | 0.344995 | − | 0.0836948i | 0.0296924 | − | 0.00720330i | ||||
\(136\) | −0.0106642 | − | 0.0149758i | −0.000914449 | − | 0.00128416i | ||||
\(137\) | 12.0205 | + | 6.94002i | 1.02698 | + | 0.592926i | 0.916117 | − | 0.400910i | \(-0.131306\pi\) |
0.110860 | + | 0.993836i | \(0.464639\pi\) | |||||||
\(138\) | −0.808914 | − | 0.223751i | −0.0688593 | − | 0.0190470i | ||||
\(139\) | − | 4.07816i | − | 0.345905i | −0.984930 | − | 0.172953i | \(-0.944669\pi\) | ||
0.984930 | − | 0.172953i | \(-0.0553307\pi\) | |||||||
\(140\) | −1.81952 | − | 0.332910i | −0.153778 | − | 0.0281361i | ||||
\(141\) | 0.955665 | + | 0.280609i | 0.0804815 | + | 0.0236315i | ||||
\(142\) | −0.790690 | + | 2.28455i | −0.0663532 | + | 0.191715i | ||||
\(143\) | 0.0267227 | + | 0.560978i | 0.00223466 | + | 0.0469114i | ||||
\(144\) | 1.24848 | + | 3.60724i | 0.104040 | + | 0.300603i | ||||
\(145\) | 1.60246 | − | 0.641528i | 0.133077 | − | 0.0532760i | ||||
\(146\) | −0.378639 | − | 1.28953i | −0.0313364 | − | 0.106722i | ||||
\(147\) | −5.77763 | − | 3.95208i | −0.476531 | − | 0.325962i | ||||
\(148\) | −15.6849 | + | 2.25515i | −1.28929 | + | 0.185372i | ||||
\(149\) | −8.78795 | − | 6.25787i | −0.719937 | − | 0.512665i | 0.160377 | − | 0.987056i | \(-0.448729\pi\) |
−0.880314 | + | 0.474391i | \(0.842668\pi\) | |||||||
\(150\) | −0.0810794 | + | 0.849102i | −0.00662011 | + | 0.0693289i | ||||
\(151\) | −6.03414 | − | 2.41570i | −0.491051 | − | 0.196587i | 0.112903 | − | 0.993606i | \(-0.463985\pi\) |
−0.603955 | + | 0.797019i | \(0.706409\pi\) | |||||||
\(152\) | −0.188776 | + | 3.96290i | −0.0153118 | + | 0.321434i | ||||
\(153\) | −0.0253940 | + | 0.00745634i | −0.00205298 | + | 0.000602809i | ||||
\(154\) | −0.0673000 | − | 0.640839i | −0.00542319 | − | 0.0516403i | ||||
\(155\) | 1.20332 | + | 1.04268i | 0.0966531 | + | 0.0837504i | ||||
\(156\) | −0.706405 | − | 0.364177i | −0.0565577 | − | 0.0291575i | ||||
\(157\) | −8.21777 | + | 1.58384i | −0.655849 | + | 0.126405i | −0.506310 | − | 0.862351i | \(-0.668991\pi\) |
−0.149539 | + | 0.988756i | \(0.547779\pi\) | |||||||
\(158\) | 1.25437 | + | 1.31555i | 0.0997926 | + | 0.104659i | ||||
\(159\) | 12.9421 | − | 1.23582i | 1.02638 | − | 0.0980070i | ||||
\(160\) | 0.730357 | 0.0577398 | ||||||||
\(161\) | 10.8254 | − | 6.61889i | 0.853165 | − | 0.521641i | ||||
\(162\) | −0.175004 | −0.0137496 | ||||||||
\(163\) | −19.5241 | + | 1.86433i | −1.52925 | + | 0.146025i | −0.825490 | − | 0.564417i | \(-0.809101\pi\) |
−0.703756 | + | 0.710442i | \(0.748495\pi\) | |||||||
\(164\) | 15.5014 | + | 16.2574i | 1.21046 | + | 1.26949i | ||||
\(165\) | −0.485114 | + | 0.0934981i | −0.0377661 | + | 0.00727882i | ||||
\(166\) | −1.56419 | − | 0.806396i | −0.121405 | − | 0.0625884i | ||||
\(167\) | −5.19297 | − | 4.49974i | −0.401844 | − | 0.348200i | 0.430371 | − | 0.902652i | \(-0.358383\pi\) |
−0.832216 | + | 0.554452i | \(0.812928\pi\) | |||||||
\(168\) | 1.67893 | + | 0.747678i | 0.129532 | + | 0.0576846i | ||||
\(169\) | −12.3171 | + | 3.61664i | −0.947473 | + | 0.278203i | ||||
\(170\) | −7.82364e−5 | 0.00164238i | −6.00046e−6 | 0.000125965i | ||||||
\(171\) | 5.30219 | + | 2.12268i | 0.405469 | + | 0.162325i | ||||
\(172\) | 0.128930 | − | 1.35022i | 0.00983085 | − | 0.102953i | ||||
\(173\) | −1.96423 | − | 1.39872i | −0.149338 | − | 0.106343i | 0.502946 | − | 0.864318i | \(-0.332250\pi\) |
−0.652284 | + | 0.757975i | \(0.726189\pi\) | |||||||
\(174\) | −0.842250 | + | 0.121097i | −0.0638508 | + | 0.00918036i | ||||
\(175\) | −8.53622 | − | 9.66553i | −0.645277 | − | 0.730645i | ||||
\(176\) | −1.49663 | − | 5.09704i | −0.112812 | − | 0.384204i | ||||
\(177\) | 5.53797 | − | 2.21707i | 0.416259 | − | 0.166645i | ||||
\(178\) | 0.753950 | + | 2.17840i | 0.0565109 | + | 0.163278i | ||||
\(179\) | 0.247235 | + | 5.19011i | 0.0184792 | + | 0.387927i | 0.989094 | + | 0.147287i | \(0.0470542\pi\) |
−0.970615 | + | 0.240640i | \(0.922643\pi\) | |||||||
\(180\) | 0.228663 | − | 0.660679i | 0.0170436 | − | 0.0492441i | ||||
\(181\) | −6.99474 | − | 2.05384i | −0.519915 | − | 0.152661i | 0.0112378 | − | 0.999937i | \(-0.496423\pi\) |
−0.531153 | + | 0.847276i | \(0.678241\pi\) | |||||||
\(182\) | −0.175992 | + | 0.0627771i | −0.0130454 | + | 0.00465335i | ||||
\(183\) | − | 3.77289i | − | 0.278900i | ||||||
\(184\) | −2.48310 | + | 2.22099i | −0.183056 | + | 0.163734i | ||||
\(185\) | 2.47377 | + | 1.42823i | 0.181875 | + | 0.105005i | ||||
\(186\) | −0.455294 | − | 0.639371i | −0.0333838 | − | 0.0468809i | ||||
\(187\) | 0.0357935 | − | 0.00868342i | 0.00261748 | − | 0.000634994i | ||||
\(188\) | 1.48242 | − | 1.28452i | 0.108116 | − | 0.0936833i | ||||
\(189\) | 1.80763 | − | 1.93196i | 0.131486 | − | 0.140530i | ||||
\(190\) | 0.232361 | − | 0.268158i | 0.0168572 | − | 0.0194543i | ||||
\(191\) | 8.51267 | + | 21.2636i | 0.615955 | + | 1.53858i | 0.827649 | + | 0.561245i | \(0.189678\pi\) |
−0.211694 | + | 0.977336i | \(0.567898\pi\) | |||||||
\(192\) | 7.06927 | + | 1.71499i | 0.510180 | + | 0.123768i | ||||
\(193\) | 1.10181 | − | 0.568023i | 0.0793101 | − | 0.0408872i | −0.418115 | − | 0.908394i | \(-0.637309\pi\) |
0.497425 | + | 0.867507i | \(0.334279\pi\) | |||||||
\(194\) | 1.64178 | − | 1.29111i | 0.117873 | − | 0.0926962i | ||||
\(195\) | 0.0595137 | + | 0.130317i | 0.00426186 | + | 0.00933218i | ||||
\(196\) | −12.6992 | + | 5.36418i | −0.907083 | + | 0.383155i | ||||
\(197\) | −0.838065 | − | 5.82887i | −0.0597096 | − | 0.415290i | −0.997651 | − | 0.0684967i | \(-0.978180\pi\) |
0.937942 | − | 0.346793i | \(-0.112729\pi\) | |||||||
\(198\) | 0.243270 | + | 0.0115884i | 0.0172885 | + | 0.000823552i | ||||
\(199\) | 1.86921 | − | 7.70498i | 0.132505 | − | 0.546191i | −0.866398 | − | 0.499354i | \(-0.833571\pi\) |
0.998903 | − | 0.0468371i | \(-0.0149142\pi\) | |||||||
\(200\) | 2.66137 | + | 2.09292i | 0.188187 | + | 0.147992i | ||||
\(201\) | −4.08958 | − | 0.788203i | −0.288457 | − | 0.0555955i | ||||
\(202\) | −0.954769 | − | 1.48565i | −0.0671773 | − | 0.104530i | ||||
\(203\) | 7.36281 | − | 10.5489i | 0.516768 | − | 0.740386i | ||||
\(204\) | −0.0146843 | + | 0.0500102i | −0.00102811 | + | 0.00350141i | ||||
\(205\) | −0.384905 | − | 4.03091i | −0.0268830 | − | 0.281531i | ||||
\(206\) | −0.253354 | + | 0.438822i | −0.0176520 | + | 0.0305742i | ||||
\(207\) | 1.85229 | + | 4.42369i | 0.128743 | + | 0.307468i | ||||
\(208\) | −1.33407 | + | 0.770224i | −0.0925009 | + | 0.0534054i | ||||
\(209\) | −7.22994 | − | 3.30180i | −0.500106 | − | 0.228391i | ||||
\(210\) | −0.0766946 | − | 0.145382i | −0.00529243 | − | 0.0100323i | ||||
\(211\) | 3.38436 | + | 3.90576i | 0.232989 | + | 0.268883i | 0.860190 | − | 0.509974i | \(-0.170345\pi\) |
−0.627201 | + | 0.778857i | \(0.715800\pi\) | |||||||
\(212\) | 11.7323 | − | 22.7575i | 0.805780 | − | 1.56299i | ||||
\(213\) | 13.0543 | − | 4.51813i | 0.894464 | − | 0.309577i | ||||
\(214\) | 0.347529 | − | 0.441919i | 0.0237566 | − | 0.0302089i | ||||
\(215\) | −0.168724 | + | 0.176952i | −0.0115069 | + | 0.0120681i | ||||
\(216\) | −0.375559 | + | 0.584382i | −0.0255536 | + | 0.0397621i | ||||
\(217\) | 11.7611 | + | 1.57788i | 0.798397 | + | 0.107114i | ||||
\(218\) | 1.06615 | − | 0.486894i | 0.0722088 | − | 0.0329767i | ||||
\(219\) | −4.45462 | + | 6.25564i | −0.301015 | + | 0.422717i | ||||
\(220\) | −0.361610 | + | 0.903259i | −0.0243798 | + | 0.0608977i | ||||
\(221\) | −0.00489411 | − | 0.00949324i | −0.000329213 | − | 0.000638584i | ||||
\(222\) | −1.01912 | − | 0.971727i | −0.0683987 | − | 0.0652180i | ||||
\(223\) | 18.7943 | + | 2.70221i | 1.25856 | + | 0.180954i | 0.739132 | − | 0.673561i | \(-0.235236\pi\) |
0.519428 | + | 0.854514i | \(0.326145\pi\) | |||||||
\(224\) | 4.55114 | − | 2.98589i | 0.304086 | − | 0.199503i | ||||
\(225\) | 4.10025 | − | 2.63507i | 0.273350 | − | 0.175671i | ||||
\(226\) | −1.18614 | − | 0.410527i | −0.0789009 | − | 0.0273079i | ||||
\(227\) | 7.20386 | − | 6.86887i | 0.478137 | − | 0.455903i | −0.412274 | − | 0.911060i | \(-0.635265\pi\) |
0.890411 | + | 0.455157i | \(0.150417\pi\) | |||||||
\(228\) | 9.16210 | − | 6.52430i | 0.606775 | − | 0.432083i | ||||
\(229\) | −3.04725 | − | 5.27798i | −0.201368 | − | 0.348779i | 0.747602 | − | 0.664147i | \(-0.231205\pi\) |
−0.948969 | + | 0.315368i | \(0.897872\pi\) | |||||||
\(230\) | 0.297352 | − | 0.0188594i | 0.0196068 | − | 0.00124355i | ||||
\(231\) | −2.64069 | + | 2.56589i | −0.173745 | + | 0.168823i | ||||
\(232\) | −1.40310 | + | 3.07236i | −0.0921180 | + | 0.201710i | ||||
\(233\) | 0.953925 | + | 3.93213i | 0.0624937 | + | 0.257603i | 0.994485 | − | 0.104878i | \(-0.0334451\pi\) |
−0.931991 | + | 0.362480i | \(0.881930\pi\) | |||||||
\(234\) | −0.0133657 | − | 0.0693477i | −0.000873742 | − | 0.00453340i | ||||
\(235\) | −0.353185 | + | 0.0168243i | −0.0230392 | + | 0.00109749i | ||||
\(236\) | 2.22330 | − | 11.5356i | 0.144724 | − | 0.750900i | ||||
\(237\) | 1.47819 | − | 10.2810i | 0.0960188 | − | 0.667825i | ||||
\(238\) | 0.00622696 | + | 0.0105542i | 0.000403634 | + | 0.000684126i | ||||
\(239\) | 13.7866 | + | 8.86009i | 0.891779 | + | 0.573111i | 0.904341 | − | 0.426810i | \(-0.140363\pi\) |
−0.0125627 | + | 0.999921i | \(0.503999\pi\) | |||||||
\(240\) | −0.837670 | − | 1.06518i | −0.0540714 | − | 0.0687574i | ||||
\(241\) | −26.5134 | − | 2.53172i | −1.70788 | − | 0.163082i | −0.805084 | − | 0.593161i | \(-0.797880\pi\) |
−0.902791 | + | 0.430079i | \(0.858486\pi\) | |||||||
\(242\) | 1.57893 | + | 0.150769i | 0.101497 | + | 0.00969182i | ||||
\(243\) | 0.618159 | + | 0.786053i | 0.0396549 | + | 0.0504253i | ||||
\(244\) | −6.25071 | − | 4.01709i | −0.400161 | − | 0.257168i | ||||
\(245\) | 2.39714 | + | 0.654993i | 0.153147 | + | 0.0418460i | ||||
\(246\) | −0.284081 | + | 1.97583i | −0.0181123 | + | 0.125974i | ||||
\(247\) | −0.436193 | + | 2.26318i | −0.0277543 | + | 0.144003i | ||||
\(248\) | −3.11208 | + | 0.148247i | −0.197617 | + | 0.00941367i | ||||
\(249\) | 1.90309 | + | 9.87416i | 0.120603 | + | 0.625749i | ||||
\(250\) | −0.144623 | − | 0.596145i | −0.00914678 | − | 0.0377035i | ||||
\(251\) | −10.6288 | + | 23.2738i | −0.670882 | + | 1.46903i | 0.201141 | + | 0.979562i | \(0.435535\pi\) |
−0.872023 | + | 0.489465i | \(0.837192\pi\) | |||||||
\(252\) | −1.27614 | − | 5.05178i | −0.0803890 | − | 0.318232i | ||||
\(253\) | −2.28191 | − | 6.27196i | −0.143462 | − | 0.394315i | ||||
\(254\) | 1.66895 | + | 2.89071i | 0.104720 | + | 0.181380i | ||||
\(255\) | 0.00765333 | − | 0.00544991i | 0.000479270 | − | 0.000341287i | ||||
\(256\) | 9.84696 | − | 9.38905i | 0.615435 | − | 0.586816i | ||||
\(257\) | −4.92668 | − | 1.70514i | −0.307318 | − | 0.106364i | 0.169056 | − | 0.985606i | \(-0.445928\pi\) |
−0.476374 | + | 0.879243i | \(0.658049\pi\) | |||||||
\(258\) | 0.101396 | − | 0.0651634i | 0.00631266 | − | 0.00405690i | ||||
\(259\) | 21.2540 | − | 1.21354i | 1.32066 | − | 0.0754056i | ||||
\(260\) | 0.279267 | + | 0.0401525i | 0.0173194 | + | 0.00249016i | ||||
\(261\) | 3.51897 | + | 3.35533i | 0.217819 | + | 0.207690i | ||||
\(262\) | −1.07838 | − | 2.09177i | −0.0666226 | − | 0.129230i | ||||
\(263\) | −6.94283 | + | 17.3423i | −0.428113 | + | 1.06937i | 0.544874 | + | 0.838518i | \(0.316577\pi\) |
−0.972988 | + | 0.230857i | \(0.925847\pi\) | |||||||
\(264\) | 0.560756 | − | 0.787472i | 0.0345122 | − | 0.0484656i | ||||
\(265\) | −4.19829 | + | 1.91729i | −0.257899 | + | 0.117778i | ||||
\(266\) | 0.351629 | − | 2.62095i | 0.0215597 | − | 0.160701i | ||||
\(267\) | 7.12140 | − | 11.0811i | 0.435823 | − | 0.678153i | ||||
\(268\) | −5.66013 | + | 5.93617i | −0.345747 | + | 0.362609i | ||||
\(269\) | 16.8494 | − | 21.4257i | 1.02733 | − | 1.30635i | 0.0763515 | − | 0.997081i | \(-0.475673\pi\) |
0.950974 | − | 0.309270i | \(-0.100085\pi\) | |||||||
\(270\) | 0.0587098 | − | 0.0203196i | 0.00357296 | − | 0.00123661i | ||||
\(271\) | −6.71412 | + | 13.0236i | −0.407854 | + | 0.791126i | −0.999891 | − | 0.0147849i | \(-0.995294\pi\) |
0.592037 | + | 0.805911i | \(0.298324\pi\) | |||||||
\(272\) | 0.0661577 | + | 0.0763500i | 0.00401140 | + | 0.00462940i | ||||
\(273\) | 0.903622 | + | 0.568747i | 0.0546897 | + | 0.0344222i | ||||
\(274\) | 2.20955 | + | 1.00907i | 0.133484 | + | 0.0609601i | ||||
\(275\) | −5.87418 | + | 3.39146i | −0.354227 | + | 0.204513i | ||||
\(276\) | 9.30109 | + | 1.64125i | 0.559860 | + | 0.0987916i | ||||
\(277\) | 4.60308 | − | 7.97277i | 0.276572 | − | 0.479038i | −0.693958 | − | 0.720015i | \(-0.744135\pi\) |
0.970531 | + | 0.240978i | \(0.0774681\pi\) | |||||||
\(278\) | −0.0678410 | − | 0.710463i | −0.00406883 | − | 0.0426107i | ||||
\(279\) | −1.26360 | + | 4.30343i | −0.0756499 | + | 0.257640i | ||||
\(280\) | −0.650055 | − | 0.0558888i | −0.0388482 | − | 0.00333999i | ||||
\(281\) | −1.66565 | − | 2.59180i | −0.0993642 | − | 0.154614i | 0.788012 | − | 0.615660i | \(-0.211111\pi\) |
−0.887376 | + | 0.461046i | \(0.847474\pi\) | |||||||
\(282\) | 0.171156 | + | 0.0329876i | 0.0101922 | + | 0.00196438i | ||||
\(283\) | 0.761883 | + | 0.599152i | 0.0452893 | + | 0.0356159i | 0.640547 | − | 0.767919i | \(-0.278708\pi\) |
−0.595258 | + | 0.803535i | \(0.702950\pi\) | |||||||
\(284\) | 6.41382 | − | 26.4381i | 0.380590 | − | 1.56881i | ||||
\(285\) | −2.02523 | − | 0.0964734i | −0.119964 | − | 0.00571459i | ||||
\(286\) | 0.0139874 | + | 0.0972843i | 0.000827091 | + | 0.00575254i | ||||
\(287\) | −18.8779 | − | 23.5446i | −1.11433 | − | 1.38979i | ||||
\(288\) | 0.854647 | + | 1.87142i | 0.0503606 | + | 0.110274i | ||||
\(289\) | 13.3624 | − | 10.5083i | 0.786021 | − | 0.618134i | ||||
\(290\) | 0.268495 | − | 0.138419i | 0.0157666 | − | 0.00812823i | ||||
\(291\) | −11.5984 | − | 2.81373i | −0.679908 | − | 0.164944i | ||||
\(292\) | 5.62105 | + | 14.0407i | 0.328947 | + | 0.821669i | ||||
\(293\) | 17.4452 | − | 20.1329i | 1.01916 | − | 1.17618i | 0.0349127 | − | 0.999390i | \(-0.488885\pi\) |
0.984249 | − | 0.176785i | \(-0.0565699\pi\) | |||||||
\(294\) | −1.07227 | − | 0.592386i | −0.0625363 | − | 0.0345487i | ||||
\(295\) | −1.60044 | + | 1.38679i | −0.0931810 | + | 0.0807418i | ||||
\(296\) | −5.43187 | + | 1.31776i | −0.315721 | + | 0.0765931i | ||||
\(297\) | −0.807243 | − | 1.13361i | −0.0468410 | − | 0.0657790i | ||||
\(298\) | −1.63506 | − | 0.944004i | −0.0947167 | − | 0.0546847i | ||||
\(299\) | −1.61148 | + | 1.07185i | −0.0931945 | + | 0.0619865i | ||||
\(300\) | − | 9.59868i | − | 0.554180i | ||||||
\(301\) | −0.327957 | + | 1.79245i | −0.0189031 | + | 0.103315i | ||||
\(302\) | −1.09140 | − | 0.320464i | −0.0628031 | − | 0.0184407i | ||||
\(303\) | −3.30050 | + | 9.53616i | −0.189609 | + | 0.547838i | ||||
\(304\) | −1.03734 | − | 21.7764i | −0.0594954 | − | 1.24896i | ||||
\(305\) | 0.438069 | + | 1.26572i | 0.0250838 | + | 0.0724748i | ||||
\(306\) | −0.00429988 | + | 0.00172141i | −0.000245808 | + | 9.84067e-5i | ||||
\(307\) | 2.13817 | + | 7.28195i | 0.122032 | + | 0.415603i | 0.997737 | − | 0.0672445i | \(-0.0214208\pi\) |
−0.875704 | + | 0.482847i | \(0.839603\pi\) | |||||||
\(308\) | 1.43942 | + | 7.10691i | 0.0820186 | + | 0.404954i | ||||
\(309\) | 2.86594 | − | 0.412059i | 0.163037 | − | 0.0234412i | ||||
\(310\) | 0.226978 | + | 0.161630i | 0.0128915 | + | 0.00917997i | ||||
\(311\) | −1.84399 | + | 19.3111i | −0.104563 | + | 1.09503i | 0.779097 | + | 0.626904i | \(0.215678\pi\) |
−0.883660 | + | 0.468130i | \(0.844928\pi\) | |||||||
\(312\) | −0.260252 | − | 0.104189i | −0.0147339 | − | 0.00589856i | ||||
\(313\) | 0.0405241 | − | 0.850705i | 0.00229056 | − | 0.0480847i | −0.997433 | − | 0.0716105i | \(-0.977186\pi\) |
0.999723 | + | 0.0235258i | \(0.00748918\pi\) | |||||||
\(314\) | −1.40528 | + | 0.412628i | −0.0793046 | + | 0.0232859i | ||||
\(315\) | −0.382098 | + | 0.858011i | −0.0215288 | + | 0.0483435i | ||||
\(316\) | −15.4592 | − | 13.3955i | −0.869647 | − | 0.753553i | ||||
\(317\) | 17.0734 | + | 8.80194i | 0.958936 | + | 0.494366i | 0.865308 | − | 0.501241i | \(-0.167123\pi\) |
0.0936288 | + | 0.995607i | \(0.470153\pi\) | |||||||
\(318\) | 2.23411 | − | 0.430589i | 0.125282 | − | 0.0241462i | ||||
\(319\) | −4.66949 | − | 4.89722i | −0.261441 | − | 0.274191i | ||||
\(320\) | −2.57070 | + | 0.245472i | −0.143707 | + | 0.0137223i | ||||
\(321\) | −3.21250 | −0.179304 | ||||||||
\(322\) | 1.77581 | − | 1.33317i | 0.0989621 | − | 0.0742946i | ||||
\(323\) | 0.151156 | 0.00841052 | ||||||||
\(324\) | 1.96046 | − | 0.187201i | 0.108914 | − | 0.0104000i | ||||
\(325\) | 1.35733 | + | 1.42353i | 0.0752913 | + | 0.0789632i | ||||
\(326\) | −3.37031 | + | 0.649574i | −0.186664 | + | 0.0359766i | ||||
\(327\) | −5.95287 | − | 3.06892i | −0.329194 | − | 0.169711i | ||||
\(328\) | 5.98814 | + | 5.18875i | 0.330640 | + | 0.286501i | ||||
\(329\) | −2.13205 | + | 1.54875i | −0.117544 | + | 0.0853853i | ||||
\(330\) | −0.0829571 | + | 0.0243584i | −0.00456664 | + | 0.00134089i | ||||
\(331\) | 0.277942 | − | 5.83472i | 0.0152771 | − | 0.320705i | −0.978274 | − | 0.207318i | \(-0.933527\pi\) |
0.993551 | − | 0.113388i | \(-0.0361703\pi\) | |||||||
\(332\) | 18.3852 | + | 7.36032i | 1.00902 | + | 0.403950i | ||||
\(333\) | −0.764852 | + | 8.00989i | −0.0419136 | + | 0.438939i | ||||
\(334\) | −0.979530 | − | 0.697520i | −0.0535975 | − | 0.0381666i | ||||
\(335\) | 1.46348 | − | 0.210416i | 0.0799584 | − | 0.0114963i | ||||
\(336\) | −9.57460 | − | 3.21297i | −0.522337 | − | 0.175282i | ||||
\(337\) | 2.86359 | + | 9.75251i | 0.155990 | + | 0.531253i | 0.999987 | − | 0.00509479i | \(-0.00162173\pi\) |
−0.843997 | + | 0.536348i | \(0.819804\pi\) | |||||||
\(338\) | −2.08563 | + | 0.834958i | −0.113443 | + | 0.0454158i | ||||
\(339\) | 2.34582 | + | 6.77779i | 0.127407 | + | 0.368119i | ||||
\(340\) | −0.000880418 | − | 0.0184823i | −4.77474e−5 | − | 0.00100234i | ||||
\(341\) | 2.04148 | − | 5.89847i | 0.110552 | − | 0.319420i | ||||
\(342\) | 0.959014 | + | 0.281592i | 0.0518576 | + | 0.0152268i | ||||
\(343\) | 17.6153 | − | 5.71860i | 0.951135 | − | 0.308775i | ||||
\(344\) | − | 0.478429i | − | 0.0257951i | ||||||
\(345\) | −1.13503 | − | 1.26898i | −0.0611081 | − | 0.0683195i | ||||
\(346\) | −0.365460 | − | 0.210998i | −0.0196472 | − | 0.0113433i | ||||
\(347\) | −0.590479 | − | 0.829212i | −0.0316986 | − | 0.0445144i | 0.798423 | − | 0.602098i | \(-0.205668\pi\) |
−0.830121 | + | 0.557583i | \(0.811729\pi\) | |||||||
\(348\) | 9.30565 | − | 2.25753i | 0.498835 | − | 0.121016i | ||||
\(349\) | −20.9565 | + | 18.1589i | −1.12178 | + | 0.972025i | −0.999790 | − | 0.0205063i | \(-0.993472\pi\) |
−0.121987 | + | 0.992532i | \(0.538927\pi\) | |||||||
\(350\) | −1.64789 | − | 1.54184i | −0.0880837 | − | 0.0824150i | ||||
\(351\) | −0.264273 | + | 0.304988i | −0.0141059 | + | 0.0162790i | ||||
\(352\) | −1.06411 | − | 2.65802i | −0.0567173 | − | 0.141673i | ||||
\(353\) | 15.0459 | + | 3.65010i | 0.800813 | + | 0.194275i | 0.615224 | − | 0.788352i | \(-0.289066\pi\) |
0.185589 | + | 0.982627i | \(0.440581\pi\) | |||||||
\(354\) | 0.927896 | − | 0.478364i | 0.0493171 | − | 0.0254247i | ||||
\(355\) | −3.85481 | + | 3.03145i | −0.204592 | + | 0.160893i | ||||
\(356\) | −10.7762 | − | 23.5967i | −0.571139 | − | 1.25062i | ||||
\(357\) | 0.0254102 | − | 0.0652493i | 0.00134485 | − | 0.00345336i | ||||
\(358\) | 0.129410 | + | 0.900063i | 0.00683951 | + | 0.0475698i | ||||
\(359\) | −12.8383 | − | 0.611566i | −0.677582 | − | 0.0322772i | −0.294030 | − | 0.955796i | \(-0.594996\pi\) |
−0.383552 | + | 0.923519i | \(0.625299\pi\) | |||||||
\(360\) | 0.0581391 | − | 0.239653i | 0.00306420 | − | 0.0126308i | ||||
\(361\) | −10.7053 | − | 8.41872i | −0.563435 | − | 0.443090i | ||||
\(362\) | −1.25273 | − | 0.241444i | −0.0658421 | − | 0.0126900i | ||||
\(363\) | −4.89998 | − | 7.62451i | −0.257182 | − | 0.400183i | ||||
\(364\) | 1.90438 | − | 0.891509i | 0.0998164 | − | 0.0467278i | ||||
\(365\) | 0.768082 | − | 2.61585i | 0.0402033 | − | 0.136920i | ||||
\(366\) | −0.0627628 | − | 0.657281i | −0.00328066 | − | 0.0343566i | ||||
\(367\) | −11.2369 | + | 19.4629i | −0.586563 | + | 1.01596i | 0.408115 | + | 0.912930i | \(0.366186\pi\) |
−0.994679 | + | 0.103027i | \(0.967147\pi\) | |||||||
\(368\) | 12.4229 | − | 13.4463i | 0.647587 | − | 0.700935i | ||||
\(369\) | 9.87813 | − | 5.70314i | 0.514235 | − | 0.296894i | ||||
\(370\) | 0.454717 | + | 0.207662i | 0.0236396 | + | 0.0107959i | ||||
\(371\) | −18.3228 | + | 29.1111i | −0.951270 | + | 1.51137i | ||||
\(372\) | 5.78429 | + | 6.67543i | 0.299902 | + | 0.346105i | ||||
\(373\) | 8.75038 | − | 16.9734i | 0.453078 | − | 0.878848i | −0.546077 | − | 0.837735i | \(-0.683879\pi\) |
0.999155 | − | 0.0411129i | \(-0.0130903\pi\) | |||||||
\(374\) | 0.00609119 | − | 0.00210818i | 0.000314968 | − | 0.000109012i | ||||
\(375\) | −2.16682 | + | 2.75533i | −0.111894 | + | 0.142285i | ||||
\(376\) | 0.477455 | − | 0.500741i | 0.0246229 | − | 0.0258237i | ||||
\(377\) | −1.06084 | + | 1.65070i | −0.0546360 | + | 0.0850153i | ||||
\(378\) | 0.282771 | − | 0.366640i | 0.0145442 | − | 0.0188579i | ||||
\(379\) | −2.99429 | + | 1.36745i | −0.153807 | + | 0.0702411i | −0.490831 | − | 0.871255i | \(-0.663307\pi\) |
0.337024 | + | 0.941496i | \(0.390579\pi\) | |||||||
\(380\) | −2.31614 | + | 3.25256i | −0.118815 | + | 0.166853i | ||||
\(381\) | 7.08884 | − | 17.7071i | 0.363172 | − | 0.907161i | ||||
\(382\) | 1.83673 | + | 3.56276i | 0.0939752 | + | 0.182287i | ||||
\(383\) | 16.1984 | + | 15.4452i | 0.827700 | + | 0.789210i | 0.979974 | − | 0.199128i | \(-0.0638109\pi\) |
−0.152273 | + | 0.988338i | \(0.548659\pi\) | |||||||
\(384\) | 5.33286 | + | 0.766750i | 0.272141 | + | 0.0391280i | ||||
\(385\) | 0.587965 | − | 1.16741i | 0.0299655 | − | 0.0594966i | ||||
\(386\) | 0.182499 | − | 0.117285i | 0.00928896 | − | 0.00596965i | ||||
\(387\) | −0.650848 | − | 0.225261i | −0.0330845 | − | 0.0114506i | ||||
\(388\) | −17.0107 | + | 16.2197i | −0.863587 | + | 0.823428i | ||||
\(389\) | −31.9603 | + | 22.7588i | −1.62045 | + | 1.15392i | −0.750355 | + | 0.661035i | \(0.770118\pi\) |
−0.870095 | + | 0.492883i | \(0.835943\pi\) | |||||||
\(390\) | 0.0125358 | + | 0.0217127i | 0.000634776 | + | 0.00109946i | ||||
\(391\) | 0.0890243 | + | 0.0904711i | 0.00450215 | + | 0.00457532i | ||||
\(392\) | −4.27923 | + | 2.30933i | −0.216134 | + | 0.116639i | ||||
\(393\) | −5.58633 | + | 12.2324i | −0.281793 | + | 0.617041i | ||||
\(394\) | −0.242965 | − | 1.00151i | −0.0122404 | − | 0.0504556i | ||||
\(395\) | 0.697830 | + | 3.62068i | 0.0351116 | + | 0.182176i | ||||
\(396\) | −2.73760 | + | 0.130408i | −0.137569 | + | 0.00655324i | ||||
\(397\) | −5.43117 | + | 28.1796i | −0.272583 | + | 1.41429i | 0.544978 | + | 0.838451i | \(0.316538\pi\) |
−0.817560 | + | 0.575843i | \(0.804674\pi\) | |||||||
\(398\) | 0.197464 | − | 1.37339i | 0.00989796 | − | 0.0688418i | ||||
\(399\) | −13.0144 | + | 7.67848i | −0.651534 | + | 0.384405i | ||||
\(400\) | −15.6514 | − | 10.0585i | −0.782569 | − | 0.502927i | ||||
\(401\) | −16.5015 | − | 20.9834i | −0.824046 | − | 1.04786i | −0.998007 | − | 0.0631073i | \(-0.979899\pi\) |
0.173961 | − | 0.984753i | \(-0.444343\pi\) | |||||||
\(402\) | −0.725565 | − | 0.0692830i | −0.0361879 | − | 0.00345552i | ||||
\(403\) | −1.80180 | − | 0.172051i | −0.0897541 | − | 0.00857048i | ||||
\(404\) | 12.2848 | + | 15.6215i | 0.611194 | + | 0.777196i | ||||
\(405\) | −0.298646 | − | 0.191928i | −0.0148399 | − | 0.00953700i | ||||
\(406\) | 1.10720 | − | 1.96022i | 0.0549496 | − | 0.0972839i | ||||
\(407\) | 1.59361 | − | 11.0838i | 0.0789922 | − | 0.549403i | ||||
\(408\) | −0.00347934 | + | 0.0180525i | −0.000172253 | + | 0.000893734i | ||||
\(409\) | −35.0130 | + | 1.66787i | −1.73128 | + | 0.0824710i | −0.889382 | − | 0.457165i | \(-0.848865\pi\) |
−0.841898 | + | 0.539636i | \(0.818562\pi\) | |||||||
\(410\) | −0.134110 | − | 0.695828i | −0.00662322 | − | 0.0343645i | ||||
\(411\) | −3.27234 | − | 13.4888i | −0.161413 | − | 0.665353i | ||||
\(412\) | 2.36875 | − | 5.18685i | 0.116700 | − | 0.255538i | ||||
\(413\) | −4.30340 | + | 15.1846i | −0.211757 | + | 0.747185i | ||||
\(414\) | 0.396278 | + | 0.739845i | 0.0194760 | + | 0.0363614i | ||||
\(415\) | −1.78493 | − | 3.09158i | −0.0876186 | − | 0.151760i | ||||
\(416\) | −0.676302 | + | 0.481593i | −0.0331584 | + | 0.0236120i | ||||
\(417\) | −2.95150 | + | 2.81425i | −0.144536 | + | 0.137815i | ||||
\(418\) | −1.31447 | − | 0.454941i | −0.0642926 | − | 0.0222519i | ||||
\(419\) | 24.4069 | − | 15.6853i | 1.19235 | − | 0.766279i | 0.214736 | − | 0.976672i | \(-0.431111\pi\) |
0.977617 | + | 0.210393i | \(0.0674744\pi\) | |||||||
\(420\) | 1.01467 | + | 1.54658i | 0.0495111 | + | 0.0754656i | ||||
\(421\) | 13.4758 | + | 1.93753i | 0.656770 | + | 0.0944292i | 0.462639 | − | 0.886547i | \(-0.346902\pi\) |
0.194130 | + | 0.980976i | \(0.437812\pi\) | |||||||
\(422\) | 0.654567 | + | 0.624128i | 0.0318638 | + | 0.0303821i | ||||
\(423\) | −0.456399 | − | 0.885290i | −0.0221909 | − | 0.0430443i | ||||
\(424\) | 3.35656 | − | 8.38428i | 0.163009 | − | 0.407177i | ||||
\(425\) | 0.0748243 | − | 0.105076i | 0.00362951 | − | 0.00509693i | ||||
\(426\) | 2.19904 | − | 1.00427i | 0.106544 | − | 0.0486570i | ||||
\(427\) | 7.90436 | + | 6.09624i | 0.382519 | + | 0.295018i | ||||
\(428\) | −3.42042 | + | 5.32228i | −0.165332 | + | 0.257262i | ||||
\(429\) | 0.387558 | − | 0.406459i | 0.0187115 | − | 0.0196240i | ||||
\(430\) | −0.0264500 | + | 0.0336339i | −0.00127553 | + | 0.00162197i | ||||
\(431\) | −18.7789 | + | 6.49944i | −0.904547 | + | 0.313067i | −0.739451 | − | 0.673211i | \(-0.764915\pi\) |
−0.165096 | + | 0.986277i | \(0.552794\pi\) | |||||||
\(432\) | 1.74913 | − | 3.39284i | 0.0841552 | − | 0.163238i | ||||
\(433\) | 8.75389 | + | 10.1025i | 0.420685 | + | 0.485497i | 0.926046 | − | 0.377412i | \(-0.123186\pi\) |
−0.505360 | + | 0.862908i | \(0.668640\pi\) | |||||||
\(434\) | 2.07517 | + | 0.0792367i | 0.0996114 | + | 0.00380348i | ||||
\(435\) | −1.57012 | − | 0.717049i | −0.0752814 | − | 0.0343799i | ||||
\(436\) | −11.4226 | + | 6.59482i | −0.547041 | + | 0.315835i | ||||
\(437\) | −3.03246 | − | 27.2221i | −0.145062 | − | 1.30221i | ||||
\(438\) | −0.671983 | + | 1.16391i | −0.0321086 | + | 0.0556137i | ||||
\(439\) | 2.14202 | + | 22.4322i | 0.102233 | + | 1.07063i | 0.890403 | + | 0.455173i | \(0.150423\pi\) |
−0.788170 | + | 0.615457i | \(0.788971\pi\) | |||||||
\(440\) | −0.0966876 | + | 0.329288i | −0.00460940 | + | 0.0156982i | ||||
\(441\) | 1.12677 | + | 6.90872i | 0.0536556 | + | 0.328987i | ||||
\(442\) | −0.00101053 | − | 0.00157242i | −4.80661e−5 | − | 7.47923e-5i | ||||
\(443\) | 30.8675 | + | 5.94922i | 1.46656 | + | 0.282656i | 0.859146 | − | 0.511731i | \(-0.170995\pi\) |
0.607412 | + | 0.794387i | \(0.292208\pi\) | |||||||
\(444\) | 12.4560 | + | 9.79548i | 0.591134 | + | 0.464873i | ||||
\(445\) | −1.10244 | + | 4.54432i | −0.0522607 | + | 0.215421i | ||||
\(446\) | 3.31914 | + | 0.158110i | 0.157166 | + | 0.00748672i | ||||
\(447\) | 1.53535 | + | 10.6786i | 0.0726194 | + | 0.505079i | ||||
\(448\) | −15.0155 | + | 12.0393i | −0.709415 | + | 0.568804i | ||||
\(449\) | 6.69449 | + | 14.6589i | 0.315932 | + | 0.691795i | 0.999266 | − | 0.0383110i | \(-0.0121978\pi\) |
−0.683333 | + | 0.730106i | \(0.739470\pi\) | |||||||
\(450\) | 0.670476 | − | 0.527268i | 0.0316065 | − | 0.0248556i | ||||
\(451\) | −14.1091 | + | 7.27374i | −0.664371 | + | 0.342507i | ||||
\(452\) | 13.7267 | + | 3.33006i | 0.645650 | + | 0.156633i | ||||
\(453\) | 2.41570 | + | 6.03414i | 0.113500 | + | 0.283508i | ||||
\(454\) | 1.14073 | − | 1.31647i | 0.0535371 | − | 0.0617851i | ||||
\(455\) | −0.369181 | − | 0.0858824i | −0.0173075 | − | 0.00402623i | ||||
\(456\) | 2.99836 | − | 2.59809i | 0.140411 | − | 0.121667i | ||||
\(457\) | 8.43922 | − | 2.04733i | 0.394770 | − | 0.0957702i | −0.0334598 | − | 0.999440i | \(-0.510653\pi\) |
0.428230 | + | 0.903670i | \(0.359137\pi\) | |||||||
\(458\) | −0.618666 | − | 0.868794i | −0.0289083 | − | 0.0405961i | ||||
\(459\) | 0.0229202 | + | 0.0132330i | 0.00106983 | + | 0.000617664i | ||||
\(460\) | −3.31086 | + | 0.529345i | −0.154370 | + | 0.0246808i | ||||
\(461\) | 28.5449i | 1.32947i | 0.747080 | + | 0.664735i | \(0.231455\pi\) | ||||
−0.747080 | + | 0.664735i | \(0.768545\pi\) | |||||||
\(462\) | −0.417355 | + | 0.490937i | −0.0194171 | + | 0.0228404i | ||||
\(463\) | −6.42146 | − | 1.88551i | −0.298431 | − | 0.0876271i | 0.129090 | − | 0.991633i | \(-0.458795\pi\) |
−0.427520 | + | 0.904006i | \(0.640613\pi\) | |||||||
\(464\) | 6.07040 | − | 17.5393i | 0.281811 | − | 0.814240i | ||||
\(465\) | −0.0757610 | − | 1.59042i | −0.00351333 | − | 0.0737539i | ||||
\(466\) | 0.231596 | + | 0.669154i | 0.0107285 | + | 0.0309980i | ||||
\(467\) | 4.77253 | − | 1.91063i | 0.220846 | − | 0.0884135i | −0.258601 | − | 0.965984i | \(-0.583261\pi\) |
0.479447 | + | 0.877571i | \(0.340837\pi\) | |||||||
\(468\) | 0.223908 | + | 0.762561i | 0.0103502 | + | 0.0352494i | ||||
\(469\) | 8.25927 | − | 7.29426i | 0.381378 | − | 0.336818i | ||||
\(470\) | −0.0612490 | + | 0.00880628i | −0.00282521 | + | 0.000406203i | ||||
\(471\) | 6.81719 | + | 4.85450i | 0.314120 | + | 0.223684i | ||||
\(472\) | 0.393894 | − | 4.12505i | 0.0181305 | − | 0.189871i | ||||
\(473\) | 0.889818 | + | 0.356229i | 0.0409139 | + | 0.0163794i | ||||
\(474\) | 0.0864908 | − | 1.81567i | 0.00397266 | − | 0.0833963i | ||||
\(475\) | −26.7092 | + | 7.84252i | −1.22550 | + | 0.359840i | ||||
\(476\) | −0.0810464 | − | 0.111571i | −0.00371476 | − | 0.00511384i | ||||
\(477\) | −9.82548 | − | 8.51383i | −0.449878 | − | 0.389821i | ||||
\(478\) | 2.54917 | + | 1.31419i | 0.116596 | + | 0.0601095i | ||||
\(479\) | −26.5471 | + | 5.11653i | −1.21297 | + | 0.233780i | −0.755322 | − | 0.655354i | \(-0.772519\pi\) |
−0.457646 | + | 0.889134i | \(0.651307\pi\) | |||||||
\(480\) | −0.504004 | − | 0.528584i | −0.0230045 | − | 0.0241264i | ||||
\(481\) | −3.23244 | + | 0.308661i | −0.147387 | + | 0.0140737i | ||||
\(482\) | −4.66105 | −0.212305 | ||||||||
\(483\) | −12.2607 | − | 3.26719i | −0.557882 | − | 0.148662i | ||||
\(484\) | −17.8490 | −0.811317 | ||||||||
\(485\) | 4.21768 | − | 0.402740i | 0.191515 | − | 0.0182875i | ||||
\(486\) | 0.120767 | + | 0.126656i | 0.00547808 | + | 0.00574525i | ||||
\(487\) | 30.4566 | − | 5.87003i | 1.38012 | − | 0.265996i | 0.555422 | − | 0.831569i | \(-0.312557\pi\) |
0.824699 | + | 0.565572i | \(0.191345\pi\) | |||||||
\(488\) | −2.32952 | − | 1.20095i | −0.105452 | − | 0.0543644i | ||||
\(489\) | 14.8224 | + | 12.8437i | 0.670294 | + | 0.580813i | ||||
\(490\) | 0.428505 | + | 0.0742305i | 0.0193579 | + | 0.00335339i | ||||
\(491\) | 5.84011 | − | 1.71481i | 0.263560 | − | 0.0773883i | −0.147283 | − | 0.989094i | \(-0.547053\pi\) |
0.410843 | + | 0.911706i | \(0.365234\pi\) | |||||||
\(492\) | 1.06884 | − | 22.4378i | 0.0481872 | − | 1.01157i | ||||
\(493\) | 0.119466 | + | 0.0478271i | 0.00538049 | + | 0.00215402i | ||||
\(494\) | −0.0383414 | + | 0.401529i | −0.00172506 | + | 0.0180656i | ||||
\(495\) | 0.402435 | + | 0.286573i | 0.0180881 | + | 0.0128805i | ||||
\(496\) | 16.9462 | − | 2.43650i | 0.760908 | − | 0.109402i | ||||
\(497\) | −11.6274 | + | 34.6496i | −0.521562 | + | 1.55425i | ||||
\(498\) | 0.495798 | + | 1.68853i | 0.0222172 | + | 0.0756650i | ||||
\(499\) | 1.33725 | − | 0.535353i | 0.0598634 | − | 0.0239657i | −0.341538 | − | 0.939868i | \(-0.610948\pi\) |
0.401401 | + | 0.915902i | \(0.368523\pi\) | |||||||
\(500\) | 2.25782 | + | 6.52353i | 0.100973 | + | 0.291741i | ||||
\(501\) | 0.326949 | + | 6.86351i | 0.0146070 | + | 0.306639i | ||||
\(502\) | −1.46449 | + | 4.23137i | −0.0653634 | + | 0.188855i | ||||
\(503\) | 0.188809 | + | 0.0554393i | 0.00841857 | + | 0.00247192i | 0.285939 | − | 0.958248i | \(-0.407694\pi\) |
−0.277521 | + | 0.960720i | \(0.589513\pi\) | |||||||
\(504\) | −0.617474 | − | 1.73106i | −0.0275045 | − | 0.0771074i | ||||
\(505\) | − | 3.58238i | − | 0.159414i | ||||||
\(506\) | −0.501870 | − | 1.05469i | −0.0223108 | − | 0.0468866i | ||||
\(507\) | 11.1173 | + | 6.41857i | 0.493736 | + | 0.285059i | ||||
\(508\) | −21.7884 | − | 30.5975i | −0.966704 | − | 1.35755i | ||||
\(509\) | −1.37745 | + | 0.334167i | −0.0610546 | + | 0.0148117i | −0.266170 | − | 0.963926i | \(-0.585758\pi\) |
0.205115 | + | 0.978738i | \(0.434243\pi\) | |||||||
\(510\) | 0.00124264 | − | 0.00107675i | 5.50249e−5 | − | 4.76794e-5i | ||||
\(511\) | −5.90804 | − | 19.4405i | −0.261356 | − | 0.859996i | ||||
\(512\) | 8.61565 | − | 9.94299i | 0.380762 | − | 0.439422i | ||||
\(513\) | −2.12268 | − | 5.30219i | −0.0937185 | − | 0.234098i | ||||
\(514\) | −0.886649 | − | 0.215099i | −0.0391084 | − | 0.00948760i | ||||
\(515\) | −0.913611 | + | 0.470999i | −0.0402585 | + | 0.0207547i | ||||
\(516\) | −1.06617 | + | 0.838447i | −0.0469356 | + | 0.0369106i | ||||
\(517\) | 0.575811 | + | 1.26085i | 0.0253241 | + | 0.0554521i | ||||
\(518\) | 3.68250 | − | 0.564976i | 0.161800 | − | 0.0248236i | ||||
\(519\) | 0.343172 | + | 2.38681i | 0.0150636 | + | 0.104769i | ||||
\(520\) | 0.0994060 | + | 0.00473529i | 0.00435924 | + | 0.000207656i | ||||
\(521\) | 3.12645 | − | 12.8874i | 0.136972 | − | 0.564607i | −0.861418 | − | 0.507896i | \(-0.830423\pi\) |
0.998391 | − | 0.0567113i | \(-0.0180615\pi\) | |||||||
\(522\) | 0.668861 | + | 0.525998i | 0.0292753 | + | 0.0230223i | ||||
\(523\) | −13.6478 | − | 2.63039i | −0.596776 | − | 0.115019i | −0.118086 | − | 0.993003i | \(-0.537676\pi\) |
−0.478690 | + | 0.877984i | \(0.658888\pi\) | |||||||
\(524\) | 14.3180 | + | 22.2792i | 0.625483 | + | 0.973271i | ||||
\(525\) | −1.10461 | + | 12.8479i | −0.0482090 | + | 0.560729i | ||||
\(526\) | −0.921028 | + | 3.13673i | −0.0401587 | + | 0.136768i | ||||
\(527\) | 0.0112834 | + | 0.118166i | 0.000491515 | + | 0.00514737i | ||||
\(528\) | −2.65611 | + | 4.60052i | −0.115592 | + | 0.200212i | ||||
\(529\) | 14.5072 | − | 17.8477i | 0.630750 | − | 0.775986i | ||||
\(530\) | −0.699495 | + | 0.403854i | −0.0303841 | + | 0.0175423i | ||||
\(531\) | −5.42620 | − | 2.47806i | −0.235477 | − | 0.107539i | ||||
\(532\) | −1.13545 | + | 29.7369i | −0.0492281 | + | 1.28926i | ||||
\(533\) | 3.01438 | + | 3.47877i | 0.130567 | + | 0.150682i | ||||
\(534\) | 1.05629 | − | 2.04892i | 0.0457103 | − | 0.0886656i | ||||
\(535\) | 1.07772 | − | 0.373002i | 0.0465938 | − | 0.0161263i | ||||
\(536\) | −1.78842 | + | 2.27416i | −0.0772479 | + | 0.0982287i | ||||
\(537\) | 3.58564 | − | 3.76052i | 0.154732 | − | 0.162278i | ||||
\(538\) | 2.57894 | − | 4.01290i | 0.111186 | − | 0.173009i | ||||
\(539\) | −1.10882 | − | 9.67832i | −0.0477603 | − | 0.416875i | ||||
\(540\) | −0.635952 | + | 0.290429i | −0.0273670 | + | 0.0124981i | ||||
\(541\) | −26.5195 | + | 37.2414i | −1.14016 | + | 1.60113i | −0.419663 | + | 0.907680i | \(0.637852\pi\) |
−0.720500 | + | 0.693455i | \(0.756088\pi\) | |||||||
\(542\) | −0.953027 | + | 2.38055i | −0.0409360 | + | 0.102253i | ||||
\(543\) | 3.34049 | + | 6.47965i | 0.143354 | + | 0.278068i | ||||
\(544\) | 0.0394069 | + | 0.0375744i | 0.00168956 | + | 0.00161099i | ||||
\(545\) | 2.35338 | + | 0.338365i | 0.100808 | + | 0.0144940i | ||||
\(546\) | 0.166882 | + | 0.0840504i | 0.00714191 | + | 0.00359703i | ||||
\(547\) | 16.1502 | − | 10.3791i | 0.690534 | − | 0.443779i | −0.147742 | − | 0.989026i | \(-0.547200\pi\) |
0.838276 | + | 0.545247i | \(0.183564\pi\) | |||||||
\(548\) | −25.8316 | − | 8.94040i | −1.10347 | − | 0.381915i | ||||
\(549\) | −2.73057 | + | 2.60359i | −0.116538 | + | 0.111119i | ||||
\(550\) | −0.966933 | + | 0.688550i | −0.0412302 | + | 0.0293599i | ||||
\(551\) | −13.8849 | − | 24.0493i | −0.591515 | − | 1.02453i | ||||
\(552\) | 3.32094 | + | 0.264439i | 0.141349 | + | 0.0112553i | ||||
\(553\) | 19.1507 | + | 19.7090i | 0.814372 | + | 0.838111i | ||||
\(554\) | 0.669281 | − | 1.46552i | 0.0284350 | − | 0.0622641i | ||||
\(555\) | −0.673436 | − | 2.77594i | −0.0285857 | − | 0.117832i | ||||
\(556\) | 1.51996 | + | 7.88629i | 0.0644605 | + | 0.334453i | ||||
\(557\) | 26.1949 | − | 1.24782i | 1.10992 | − | 0.0528718i | 0.515395 | − | 0.856952i | \(-0.327645\pi\) |
0.594520 | + | 0.804081i | \(0.297342\pi\) | |||||||
\(558\) | −0.148546 | + | 0.770728i | −0.00628844 | + | 0.0326275i | ||||
\(559\) | 0.0395550 | − | 0.275111i | 0.00167300 | − | 0.0116360i | ||||
\(560\) | 3.58511 | − | 0.0338273i | 0.151499 | − | 0.00142946i | ||||
\(561\) | −0.0309848 | − | 0.0199128i | −0.00130818 | − | 0.000840717i | ||||
\(562\) | −0.333290 | − | 0.423813i | −0.0140590 | − | 0.0178775i | ||||
\(563\) | −21.5565 | − | 2.05840i | −0.908498 | − | 0.0867511i | −0.369666 | − | 0.929165i | \(-0.620528\pi\) |
−0.538832 | + | 0.842413i | \(0.681134\pi\) | |||||||
\(564\) | −1.95264 | − | 0.186454i | −0.0822208 | − | 0.00785113i | ||||
\(565\) | −1.57393 | − | 2.00142i | −0.0662159 | − | 0.0842004i | ||||
\(566\) | 0.142696 | + | 0.0917051i | 0.00599795 | + | 0.00385465i | ||||
\(567\) | −2.64563 | + | 0.0249629i | −0.111106 | + | 0.00104834i | ||||
\(568\) | 1.36565 | − | 9.49833i | 0.0573015 | − | 0.398541i | ||||
\(569\) | 1.06050 | − | 5.50237i | 0.0444583 | − | 0.230671i | −0.952902 | − | 0.303277i | \(-0.901919\pi\) |
0.997361 | + | 0.0726055i | \(0.0231314\pi\) | |||||||
\(570\) | −0.354423 | + | 0.0168832i | −0.0148451 | + | 0.000707161i | ||||
\(571\) | 0.157157 | + | 0.815408i | 0.00657682 | + | 0.0341238i | 0.985069 | − | 0.172161i | \(-0.0550749\pi\) |
−0.978492 | + | 0.206285i | \(0.933863\pi\) | |||||||
\(572\) | −0.260756 | − | 1.07485i | −0.0109028 | − | 0.0449418i | ||||
\(573\) | 9.51479 | − | 20.8345i | 0.397486 | − | 0.870373i | ||||
\(574\) | −3.68042 | − | 3.78770i | −0.153618 | − | 0.158096i | ||||
\(575\) | −20.4246 | − | 11.3673i | −0.851764 | − | 0.474050i | ||||
\(576\) | −3.63716 | − | 6.29974i | −0.151548 | − | 0.262489i | ||||
\(577\) | −13.2014 | + | 9.40067i | −0.549581 | + | 0.391355i | −0.820846 | − | 0.571150i | \(-0.806498\pi\) |
0.271265 | + | 0.962505i | \(0.412558\pi\) | |||||||
\(578\) | 2.15307 | − | 2.05295i | 0.0895558 | − | 0.0853913i | ||||
\(579\) | −1.17143 | − | 0.405437i | −0.0486832 | − | 0.0168494i | ||||
\(580\) | −2.85971 | + | 1.83782i | −0.118743 | + | 0.0763114i | ||||
\(581\) | −23.7618 | − | 11.9676i | −0.985804 | − | 0.496501i | ||||
\(582\) | −2.06738 | − | 0.297244i | −0.0856955 | − | 0.0123212i | ||||
\(583\) | 13.0945 | + | 12.4856i | 0.542318 | + | 0.517100i | ||||
\(584\) | 2.44450 | + | 4.74167i | 0.101154 | + | 0.196212i | ||||
\(585\) | 0.0532456 | − | 0.133001i | 0.00220143 | − | 0.00549891i | ||||
\(586\) | 2.70425 | − | 3.79759i | 0.111711 | − | 0.156877i | ||||
\(587\) | −24.1477 | + | 11.0279i | −0.996680 | + | 0.455169i | −0.845867 | − | 0.533394i | \(-0.820916\pi\) |
−0.150813 | + | 0.988562i | \(0.548189\pi\) | |||||||
\(588\) | 12.6457 | + | 5.48911i | 0.521498 | + | 0.226367i | ||||
\(589\) | 13.8490 | − | 21.5494i | 0.570637 | − | 0.887928i | ||||
\(590\) | −0.255745 | + | 0.268218i | −0.0105289 | + | 0.0110423i | ||||
\(591\) | −3.64022 | + | 4.62891i | −0.149739 | + | 0.190408i | ||||
\(592\) | 29.0250 | − | 10.0457i | 1.19292 | − | 0.412874i | ||||
\(593\) | 3.69107 | − | 7.15967i | 0.151574 | − | 0.294012i | −0.800807 | − | 0.598922i | \(-0.795596\pi\) |
0.952381 | + | 0.304910i | \(0.0986263\pi\) | |||||||
\(594\) | −0.159489 | − | 0.184060i | −0.00654391 | − | 0.00755208i | ||||
\(595\) | −0.000948471 | 0.0248400i | −3.88835e−5 | 0.00101834i | ||||||
\(596\) | 19.3264 | + | 8.82605i | 0.791638 | + | 0.361529i | ||||
\(597\) | −6.86625 | + | 3.96423i | −0.281017 | + | 0.162245i | ||||
\(598\) | −0.262909 | + | 0.213535i | −0.0107511 | + | 0.00873211i | ||||
\(599\) | −9.23270 | + | 15.9915i | −0.377238 | + | 0.653395i | −0.990659 | − | 0.136360i | \(-0.956459\pi\) |
0.613421 | + | 0.789756i | \(0.289793\pi\) | |||||||
\(600\) | −0.321835 | − | 3.37040i | −0.0131388 | − | 0.137596i | ||||
\(601\) | −9.67651 | + | 32.9552i | −0.394713 | + | 1.34427i | 0.487378 | + | 0.873191i | \(0.337953\pi\) |
−0.882091 | + | 0.471078i | \(0.843865\pi\) | |||||||
\(602\) | −0.0273161 | + | 0.317720i | −0.00111332 | + | 0.0129493i | ||||
\(603\) | 2.25169 | + | 3.50369i | 0.0916958 | + | 0.142681i | ||||
\(604\) | 12.5691 | + | 2.42249i | 0.511428 | + | 0.0985697i | ||||
\(605\) | 2.52911 | + | 1.98891i | 0.102823 | + | 0.0808608i | ||||
\(606\) | −0.416349 | + | 1.71621i | −0.0169130 | + | 0.0697164i | ||||
\(607\) | 9.38356 | + | 0.446994i | 0.380867 | + | 0.0181429i | 0.237143 | − | 0.971475i | \(-0.423789\pi\) |
0.143724 | + | 0.989618i | \(0.454092\pi\) | |||||||
\(608\) | −1.67221 | − | 11.6305i | −0.0678170 | − | 0.471678i | ||||
\(609\) | −12.7155 | + | 1.95084i | −0.515258 | + | 0.0790519i | ||||
\(610\) | 0.0973722 | + | 0.213215i | 0.00394248 | + | 0.00863283i | ||||
\(611\) | 0.315951 | − | 0.248467i | 0.0127820 | − | 0.0100519i | ||||
\(612\) | 0.0463274 | − | 0.0238834i | 0.00187268 | − | 0.000965431i | ||||
\(613\) | −46.5424 | − | 11.2911i | −1.87983 | − | 0.456041i | −0.880007 | − | 0.474961i | \(-0.842462\pi\) |
−0.999821 | + | 0.0189197i | \(0.993977\pi\) | |||||||
\(614\) | 0.493631 | + | 1.23303i | 0.0199213 | + | 0.0497611i | ||||
\(615\) | −2.65169 | + | 3.06022i | −0.106927 | + | 0.123400i | ||||
\(616\) | 0.743715 | + | 2.44720i | 0.0299651 | + | 0.0986007i | ||||
\(617\) | −9.80953 | + | 8.50000i | −0.394917 | + | 0.342197i | −0.829572 | − | 0.558400i | \(-0.811416\pi\) |
0.434655 | + | 0.900597i | \(0.356870\pi\) | |||||||
\(618\) | 0.492424 | − | 0.119461i | 0.0198082 | − | 0.00480542i | ||||
\(619\) | −20.8333 | − | 29.2563i | −0.837363 | − | 1.17591i | −0.982456 | − | 0.186493i | \(-0.940288\pi\) |
0.145094 | − | 0.989418i | \(-0.453652\pi\) | |||||||
\(620\) | −2.71558 | − | 1.56784i | −0.109060 | − | 0.0629660i | ||||
\(621\) | 1.92335 | − | 4.39326i | 0.0771815 | − | 0.176295i | ||||
\(622\) | 3.39490i | 0.136123i | ||||||||
\(623\) | 11.7086 | + | 32.8245i | 0.469096 | + | 1.31509i | ||||
\(624\) | 1.47805 | + | 0.433994i | 0.0591693 | + | 0.0173737i | ||||
\(625\) | −7.56361 | + | 21.8536i | −0.302544 | + | 0.874144i | ||||
\(626\) | −0.00709187 | − | 0.148877i | −0.000283448 | − | 0.00595031i | ||||
\(627\) | 2.59960 | + | 7.51106i | 0.103818 | + | 0.299963i | ||||
\(628\) | 15.3011 | − | 6.12563i | 0.610580 | − | 0.244439i | ||||
\(629\) | 0.0599961 | + | 0.204328i | 0.00239220 | + | 0.00814709i | ||||
\(630\) | −0.0522928 | + | 0.155832i | −0.00208339 | + | 0.00620849i | ||||
\(631\) | 28.8192 | − | 4.14357i | 1.14727 | − | 0.164953i | 0.457657 | − | 0.889129i | \(-0.348689\pi\) |
0.689615 | + | 0.724176i | \(0.257780\pi\) | |||||||
\(632\) | −5.87735 | − | 4.18524i | −0.233789 | − | 0.166480i | ||||
\(633\) | 0.491255 | − | 5.14466i | 0.0195256 | − | 0.204482i | ||||
\(634\) | 3.12080 | + | 1.24938i | 0.123943 | + | 0.0496192i | ||||
\(635\) | −0.322180 | + | 6.76340i | −0.0127853 | + | 0.268397i | ||||
\(636\) | −24.5666 | + | 7.21342i | −0.974131 | + | 0.286031i | ||||
\(637\) | −2.65162 | + | 0.974141i | −0.105061 | + | 0.0385969i | ||||
\(638\) | −0.894944 | − | 0.775474i | −0.0354312 | − | 0.0307013i | ||||
\(639\) | −12.2784 | − | 6.32996i | −0.485726 | − | 0.250409i | ||||
\(640\) | −1.87808 | + | 0.361970i | −0.0742376 | + | 0.0143081i | ||||
\(641\) | −17.0165 | − | 17.8464i | −0.672113 | − | 0.704892i | 0.296061 | − | 0.955169i | \(-0.404327\pi\) |
−0.968174 | + | 0.250277i | \(0.919478\pi\) | |||||||
\(642\) | −0.559654 | + | 0.0534404i | −0.0220878 | + | 0.00210913i | ||||
\(643\) | 17.1267 | 0.675411 | 0.337705 | − | 0.941252i | \(-0.390349\pi\) | ||||
0.337705 | + | 0.941252i | \(0.390349\pi\) | |||||||
\(644\) | −18.4672 | + | 16.8342i | −0.727709 | + | 0.663361i | ||||
\(645\) | 0.244499 | 0.00962715 | ||||||||
\(646\) | 0.0263330 | − | 0.00251450i | 0.00103606 | − | 9.89317e-5i | ||||
\(647\) | 19.5858 | + | 20.5410i | 0.769998 | + | 0.807551i | 0.985629 | − | 0.168924i | \(-0.0540292\pi\) |
−0.215631 | + | 0.976475i | \(0.569181\pi\) | |||||||
\(648\) | 0.682103 | − | 0.131465i | 0.0267955 | − | 0.00516441i | ||||
\(649\) | 7.37879 | + | 3.80403i | 0.289643 | + | 0.149321i | ||||
\(650\) | 0.260144 | + | 0.225416i | 0.0102037 | + | 0.00884154i | ||||
\(651\) | −6.97413 | − | 9.60078i | −0.273338 | − | 0.376284i | ||||
\(652\) | 37.0606 | − | 10.8820i | 1.45140 | − | 0.426170i | ||||
\(653\) | 0.0418723 | − | 0.879007i | 0.00163859 | − | 0.0343982i | −0.997900 | − | 0.0647740i | \(-0.979367\pi\) |
0.999539 | + | 0.0303758i | \(0.00967039\pi\) | |||||||
\(654\) | −1.08811 | − | 0.435613i | −0.0425485 | − | 0.0170338i | ||||
\(655\) | 0.453790 | − | 4.75230i | 0.0177310 | − | 0.185688i | ||||
\(656\) | −35.4665 | − | 25.2556i | −1.38473 | − | 0.986064i | ||||
\(657\) | 7.60146 | − | 1.09293i | 0.296561 | − | 0.0426391i | ||||
\(658\) | −0.345664 | + | 0.305277i | −0.0134754 | + | 0.0119009i | ||||
\(659\) | 0.237664 | + | 0.809410i | 0.00925808 | + | 0.0315301i | 0.963992 | − | 0.265929i | \(-0.0856788\pi\) |
−0.954734 | + | 0.297460i | \(0.903861\pi\) | |||||||
\(660\) | 0.903259 | − | 0.361610i | 0.0351593 | − | 0.0140757i | ||||
\(661\) | −3.02714 | − | 8.74635i | −0.117742 | − | 0.340193i | 0.870695 | − | 0.491823i | \(-0.163669\pi\) |
−0.988437 | + | 0.151629i | \(0.951548\pi\) | |||||||
\(662\) | −0.0486410 | − | 1.02110i | −0.00189049 | − | 0.0396862i | ||||
\(663\) | −0.00349326 | + | 0.0100931i | −0.000135667 | + | 0.000391984i | ||||
\(664\) | 6.70242 | + | 1.96801i | 0.260104 | + | 0.0763735i | ||||
\(665\) | 3.47448 | − | 4.08705i | 0.134734 | − | 0.158489i | ||||
\(666\) | 1.40814i | 0.0545643i | ||||||||
\(667\) | 6.21662 | − | 22.4746i | 0.240708 | − | 0.870218i | ||||
\(668\) | 11.7192 | + | 6.76607i | 0.453428 | + | 0.261787i | ||||
\(669\) | −11.0139 | − | 15.4668i | −0.425821 | − | 0.597982i | ||||
\(670\) | 0.251455 | − | 0.0610022i | 0.00971454 | − | 0.00235672i | ||||
\(671\) | 3.96813 | − | 3.43841i | 0.153188 | − | 0.132738i | ||||
\(672\) | −5.30163 | − | 1.23332i | −0.204515 | − | 0.0475762i | ||||
\(673\) | 29.9798 | − | 34.5985i | 1.15564 | − | 1.33368i | 0.222172 | − | 0.975008i | \(-0.428686\pi\) |
0.933465 | − | 0.358668i | \(-0.116769\pi\) | |||||||
\(674\) | 0.661106 | + | 1.65136i | 0.0254649 | + | 0.0636081i | ||||
\(675\) | −4.73658 | − | 1.14908i | −0.182311 | − | 0.0442282i | ||||
\(676\) | 22.4708 | − | 11.5845i | 0.864260 | − | 0.445557i | ||||
\(677\) | 32.8654 | − | 25.8456i | 1.26312 | − | 0.993328i | 0.263531 | − | 0.964651i | \(-0.415113\pi\) |
0.999589 | − | 0.0286771i | \(-0.00912945\pi\) | |||||||
\(678\) | 0.521418 | + | 1.14175i | 0.0200249 | + | 0.0438485i | ||||
\(679\) | 24.6355 | − | 19.7526i | 0.945425 | − | 0.758035i | ||||
\(680\) | −0.000928836 | − | 0.00646020i | −3.56192e−5 | − | 0.000247737i | ||||
\(681\) | −9.94246 | − | 0.473618i | −0.380996 | − | 0.0181491i | ||||
\(682\) | 0.257527 | − | 1.06154i | 0.00986123 | − | 0.0406485i | ||||
\(683\) | −8.79054 | − | 6.91295i | −0.336360 | − | 0.264517i | 0.435664 | − | 0.900109i | \(-0.356513\pi\) |
−0.772025 | + | 0.635592i | \(0.780756\pi\) | |||||||
\(684\) | −11.0444 | − | 2.12864i | −0.422295 | − | 0.0813906i | ||||
\(685\) | 2.66397 | + | 4.14522i | 0.101785 | + | 0.158381i | ||||
\(686\) | 2.97365 | − | 1.28928i | 0.113535 | − | 0.0492249i | ||||
\(687\) | −1.71702 | + | 5.84762i | −0.0655083 | + | 0.223101i | ||||
\(688\) | 0.249902 | + | 2.61709i | 0.00952742 | + | 0.0997757i | ||||
\(689\) | 2.62331 | − | 4.54371i | 0.0999403 | − | 0.173102i | ||||
\(690\) | −0.218845 | − | 0.202189i | −0.00833130 | − | 0.00769720i | ||||
\(691\) | 30.7110 | − | 17.7310i | 1.16830 | − | 0.674519i | 0.215021 | − | 0.976609i | \(-0.431018\pi\) |
0.953279 | + | 0.302091i | \(0.0976846\pi\) | |||||||
\(692\) | 4.31972 | + | 1.97275i | 0.164211 | + | 0.0749926i | ||||
\(693\) | 3.67931 | + | 0.140488i | 0.139765 | + | 0.00533669i | ||||
\(694\) | −0.116662 | − | 0.134636i | −0.00442844 | − | 0.00511070i | ||||
\(695\) | 0.663399 | − | 1.28681i | 0.0251642 | − | 0.0488117i | ||||
\(696\) | 3.19182 | − | 1.10470i | 0.120986 | − | 0.0418735i | ||||
\(697\) | 0.186609 | − | 0.237293i | 0.00706832 | − | 0.00898810i | ||||
\(698\) | −3.34879 | + | 3.51211i | −0.126754 | + | 0.132935i | ||||
\(699\) | 2.18753 | − | 3.40387i | 0.0827402 | − | 0.128746i | ||||
\(700\) | 20.1096 | + | 15.5095i | 0.760072 | + | 0.586206i | ||||
\(701\) | 27.8454 | − | 12.7166i | 1.05171 | − | 0.480299i | 0.186888 | − | 0.982381i | \(-0.440160\pi\) |
0.864820 | + | 0.502083i | \(0.167433\pi\) | |||||||
\(702\) | −0.0409659 | + | 0.0575286i | −0.00154616 | + | 0.00217128i | ||||
\(703\) | 17.0798 | − | 42.6632i | 0.644175 | − | 1.60907i | ||||
\(704\) | 4.63881 | + | 8.99803i | 0.174832 | + | 0.339126i | ||||
\(705\) | 0.255902 | + | 0.244002i | 0.00963782 | + | 0.00918964i | ||||
\(706\) | 2.68189 | + | 0.385598i | 0.100934 | + | 0.0145122i | ||||
\(707\) | −14.6457 | − | 22.3232i | −0.550808 | − | 0.839550i | ||||
\(708\) | −9.88292 | + | 6.35137i | −0.371423 | + | 0.238699i | ||||
\(709\) | −15.8222 | − | 5.47611i | −0.594215 | − | 0.205660i | 0.0133753 | − | 0.999911i | \(-0.495742\pi\) |
−0.607590 | + | 0.794251i | \(0.707864\pi\) | |||||||
\(710\) | −0.621123 | + | 0.592240i | −0.0233103 | + | 0.0222264i | ||||
\(711\) | −8.46081 | + | 6.02491i | −0.317305 | + | 0.225952i | ||||
\(712\) | −4.57506 | − | 7.92423i | −0.171457 | − | 0.296973i | ||||
\(713\) | 21.0544 | − | 4.40269i | 0.788495 | − | 0.164882i | ||||
\(714\) | 0.00334132 | − | 0.0117899i | 0.000125046 | − | 0.000441225i | ||||
\(715\) | −0.0828230 | + | 0.181357i | −0.00309740 | + | 0.00678237i | ||||
\(716\) | −2.41249 | − | 9.94440i | −0.0901588 | − | 0.371640i | ||||
\(717\) | −3.10147 | − | 16.0920i | −0.115827 | − | 0.600966i | ||||
\(718\) | −2.24676 | + | 0.107026i | −0.0838484 | + | 0.00399419i | ||||
\(719\) | 5.43518 | − | 28.2004i | 0.202698 | − | 1.05170i | −0.727908 | − | 0.685674i | \(-0.759507\pi\) |
0.930606 | − | 0.366022i | \(-0.119280\pi\) | |||||||
\(720\) | −0.192852 | + | 1.34131i | −0.00718715 | + | 0.0499877i | ||||
\(721\) | −3.76750 | + | 6.67006i | −0.140309 | + | 0.248406i | ||||
\(722\) | −2.00503 | − | 1.28855i | −0.0746194 | − | 0.0479550i | ||||
\(723\) | 16.4640 | + | 20.9357i | 0.612303 | + | 0.778607i | ||||
\(724\) | 14.2918 | + | 1.36470i | 0.531151 | + | 0.0507187i | ||||
\(725\) | −23.5911 | − | 2.25268i | −0.876152 | − | 0.0836624i | ||||
\(726\) | −0.980468 | − | 1.24677i | −0.0363886 | − | 0.0462718i | ||||
\(727\) | 13.6678 | + | 8.78376i | 0.506910 | + | 0.325772i | 0.768975 | − | 0.639279i | \(-0.220767\pi\) |
−0.262065 | + | 0.965050i | \(0.584403\pi\) | |||||||
\(728\) | 0.638796 | − | 0.376890i | 0.0236754 | − | 0.0139685i | ||||
\(729\) | 0.142315 | − | 0.989821i | 0.00527092 | − | 0.0366601i | ||||
\(730\) | 0.0902936 | − | 0.468488i | 0.00334192 | − | 0.0173395i | ||||
\(731\) | −0.0182072 | 0.000867317i | −0.000673418 | 3.20789e-5i | ||||||
\(732\) | 1.40618 | + | 7.29596i | 0.0519740 | + | 0.269666i | ||||
\(733\) | −7.71624 | − | 31.8068i | −0.285006 | − | 1.17481i | −0.916695 | − | 0.399588i | \(-0.869153\pi\) |
0.631689 | − | 0.775222i | \(-0.282362\pi\) | |||||||
\(734\) | −1.63383 | + | 3.57760i | −0.0603059 | + | 0.132052i | ||||
\(735\) | −1.18017 | − | 2.18689i | −0.0435313 | − | 0.0806645i | ||||
\(736\) | 5.97632 | − | 7.85073i | 0.220290 | − | 0.289382i | ||||
\(737\) | −2.89803 | − | 5.01954i | −0.106750 | − | 0.184897i | ||||
\(738\) | 1.62601 | − | 1.15788i | 0.0598543 | − | 0.0426220i | ||||
\(739\) | −7.21704 | + | 6.88144i | −0.265483 | + | 0.253138i | −0.811114 | − | 0.584888i | \(-0.801139\pi\) |
0.545631 | + | 0.838026i | \(0.316290\pi\) | |||||||
\(740\) | −5.31604 | − | 1.83990i | −0.195421 | − | 0.0676360i | ||||
\(741\) | 1.93895 | − | 1.24609i | 0.0712291 | − | 0.0457762i | ||||
\(742\) | −2.70777 | + | 5.37628i | −0.0994053 | + | 0.197370i | ||||
\(743\) | 37.5023 | + | 5.39202i | 1.37583 | + | 0.197814i | 0.790241 | − | 0.612796i | \(-0.209955\pi\) |
0.585586 | + | 0.810610i | \(0.300864\pi\) | |||||||
\(744\) | 2.25487 | + | 2.15002i | 0.0826677 | + | 0.0788235i | ||||
\(745\) | −1.75496 | − | 3.40414i | −0.0642967 | − | 0.124718i | ||||
\(746\) | 1.24206 | − | 3.10252i | 0.0454751 | − | 0.113591i | ||||
\(747\) | 5.83298 | − | 8.19128i | 0.213418 | − | 0.299703i | ||||
\(748\) | −0.0659806 | + | 0.0301323i | −0.00241249 | + | 0.00110175i | ||||
\(749\) | 5.19075 | − | 6.73030i | 0.189666 | − | 0.245920i | ||||
\(750\) | −0.331649 | + | 0.516056i | −0.0121101 | + | 0.0188437i | ||||
\(751\) | 8.92724 | − | 9.36262i | 0.325760 | − | 0.341647i | −0.540406 | − | 0.841405i | \(-0.681729\pi\) |
0.866165 | + | 0.499758i | \(0.166578\pi\) | |||||||
\(752\) | −2.35021 | + | 2.98854i | −0.0857034 | + | 0.108981i | ||||
\(753\) | 24.1787 | − | 8.36833i | 0.881121 | − | 0.304959i | ||||
\(754\) | −0.157351 | + | 0.305218i | −0.00573038 | + | 0.0111154i | ||||
\(755\) | −1.51103 | − | 1.74383i | −0.0549922 | − | 0.0634643i | ||||
\(756\) | −2.77551 | + | 4.40971i | −0.100944 | + | 0.160380i | ||||
\(757\) | 3.16540 | + | 1.44559i | 0.115048 | + | 0.0525409i | 0.472108 | − | 0.881541i | \(-0.343493\pi\) |
−0.357059 | + | 0.934082i | \(0.616221\pi\) | |||||||
\(758\) | −0.498893 | + | 0.288036i | −0.0181206 | + | 0.0104619i | ||||
\(759\) | −2.96454 | + | 5.97964i | −0.107606 | + | 0.217047i | ||||
\(760\) | −0.704215 | + | 1.21974i | −0.0255446 | + | 0.0442445i | ||||
\(761\) | 2.00454 | + | 20.9925i | 0.0726644 | + | 0.760976i | 0.956220 | + | 0.292650i | \(0.0945369\pi\) |
−0.883555 | + | 0.468327i | \(0.844857\pi\) | |||||||
\(762\) | 0.940398 | − | 3.20270i | 0.0340670 | − | 0.116022i | ||||
\(763\) | 16.0481 | − | 7.51274i | 0.580982 | − | 0.271979i | ||||
\(764\) | −24.3868 | − | 37.9465i | −0.882282 | − | 1.37286i | ||||
\(765\) | −0.00922569 | − | 0.00177811i | −0.000333556 | − | 6.42876e-5i | ||||
\(766\) | 3.07888 | + | 2.42126i | 0.111245 | + | 0.0874837i | ||||
\(767\) | 0.567548 | − | 2.33947i | 0.0204930 | − | 0.0844732i | ||||
\(768\) | −13.5904 | − | 0.647388i | −0.490400 | − | 0.0233606i | ||||
\(769\) | 6.10635 | + | 42.4706i | 0.220201 | + | 1.53153i | 0.737277 | + | 0.675590i | \(0.236111\pi\) |
−0.517077 | + | 0.855939i | \(0.672980\pi\) | |||||||
\(770\) | 0.0830103 | − | 0.213157i | 0.00299148 | − | 0.00768164i | ||||
\(771\) | 2.16573 | + | 4.74228i | 0.0779968 | + | 0.170789i | ||||
\(772\) | −1.91896 | + | 1.50909i | −0.0690649 | + | 0.0543132i | ||||
\(773\) | 9.34038 | − | 4.81530i | 0.335950 | − | 0.173194i | −0.281994 | − | 0.959416i | \(-0.590996\pi\) |
0.617944 | + | 0.786222i | \(0.287966\pi\) | |||||||
\(774\) | −0.117132 | − | 0.0284160i | −0.00421024 | − | 0.00102139i | ||||
\(775\) | −8.12466 | − | 20.2944i | −0.291846 | − | 0.728997i | ||||
\(776\) | −5.42917 | + | 6.26560i | −0.194896 | + | 0.224922i | ||||
\(777\) | −15.5452 | − | 14.5448i | −0.557681 | − | 0.521791i | ||||
\(778\) | −5.18925 | + | 4.49651i | −0.186044 | + | 0.161208i | ||||
\(779\) | −63.3084 | + | 15.3585i | −2.26826 | + | 0.550274i | ||||
\(780\) | −0.163657 | − | 0.229824i | −0.00585985 | − | 0.00822900i | ||||
\(781\) | 16.6489 | + | 9.61223i | 0.595744 | + | 0.343953i | ||||
\(782\) | 0.0170141 | + | 0.0142802i | 0.000608422 | + | 0.000510658i | ||||
\(783\) | − | 4.86224i | − | 0.173762i | ||||||
\(784\) | 22.2019 | − | 14.8676i | 0.792926 | − | 0.530987i | ||||
\(785\) | −2.85066 | − | 0.837030i | −0.101745 | − | 0.0298749i | ||||
\(786\) | −0.769716 | + | 2.22395i | −0.0274548 | + | 0.0793256i | ||||
\(787\) | 1.85190 | + | 38.8761i | 0.0660130 | + | 1.38578i | 0.752477 | + | 0.658619i | \(0.228859\pi\) |
−0.686464 | + | 0.727164i | \(0.740838\pi\) | |||||||
\(788\) | 3.79309 | + | 10.9594i | 0.135123 | + | 0.390413i | ||||
\(789\) | 17.3423 | − | 6.94283i | 0.617404 | − | 0.247171i | ||||
\(790\) | 0.181801 | + | 0.619156i | 0.00646818 | + | 0.0220286i | ||||
\(791\) | −17.9901 | − | 6.03698i | −0.639655 | − | 0.214650i | ||||
\(792\) | −0.956887 | + | 0.137580i | −0.0340015 | + | 0.00488868i | ||||
\(793\) | −1.24025 | − | 0.883181i | −0.0440427 | − | 0.0313627i | ||||
\(794\) | −0.477400 | + | 4.99956i | −0.0169423 | + | 0.177428i | ||||
\(795\) | 4.28476 | + | 1.71536i | 0.151965 | + | 0.0608375i | ||||
\(796\) | −0.742949 | + | 15.5964i | −0.0263331 | + | 0.552801i | ||||
\(797\) | 48.7824 | − | 14.3238i | 1.72796 | − | 0.507375i | 0.741440 | − | 0.671019i | \(-0.234143\pi\) |
0.986519 | + | 0.163644i | \(0.0523248\pi\) | |||||||
\(798\) | −2.13952 | + | 1.55418i | −0.0757382 | + | 0.0550172i | ||||
\(799\) | −0.0199219 | − | 0.0172624i | −0.000704786 | − | 0.000610700i | ||||
\(800\) | −8.91270 | − | 4.59482i | −0.315112 | − | 0.162451i | ||||
\(801\) | −12.9341 | + | 2.49285i | −0.457004 | + | 0.0880804i | ||||
\(802\) | −3.22382 | − | 3.38104i | −0.113837 | − | 0.119389i | ||||
\(803\) | −10.6391 | + | 1.01591i | −0.375444 | + | 0.0358506i | ||||
\(804\) | 8.20214 | 0.289267 | ||||||||
\(805\) | 4.49254 | − | 0.327523i | 0.158341 | − | 0.0115437i | ||||
\(806\) | −0.316757 | −0.0111573 | ||||||||
\(807\) | −27.1340 | + | 2.59098i | −0.955161 | + | 0.0912068i | ||||
\(808\) | 4.83738 | + | 5.07330i | 0.170178 | + | 0.178478i | ||||
\(809\) | 29.3675 | − | 5.66012i | 1.03251 | − | 0.198999i | 0.355269 | − | 0.934764i | \(-0.384389\pi\) |
0.677237 | + | 0.735765i | \(0.263177\pi\) | |||||||
\(810\) | −0.0552204 | − | 0.0284681i | −0.00194025 | − | 0.00100027i | ||||
\(811\) | 30.5449 | + | 26.4673i | 1.07258 | + | 0.929393i | 0.997699 | − | 0.0678002i | \(-0.0215980\pi\) |
0.0748773 | + | 0.997193i | \(0.476143\pi\) | |||||||
\(812\) | −10.3065 | + | 23.1434i | −0.361686 | + | 0.812174i | ||||
\(813\) | 14.0589 | − | 4.12806i | 0.493066 | − | 0.144777i | ||||
\(814\) | 0.0932440 | − | 1.95743i | 0.00326820 | − | 0.0686080i | ||||
\(815\) | −6.46387 | − | 2.58774i | −0.226419 | − | 0.0906447i | ||||
\(816\) | 0.00960309 | − | 0.100568i | 0.000336175 | − | 0.00352059i | ||||
\(817\) | 3.20416 | + | 2.28167i | 0.112099 | + | 0.0798256i | ||||
\(818\) | −6.07192 | + | 0.873010i | −0.212300 | + | 0.0305241i | ||||
\(819\) | −0.211948 | − | 1.04646i | −0.00740608 | − | 0.0365664i | ||||
\(820\) | 2.24667 | + | 7.65146i | 0.0784571 | + | 0.267200i | ||||
\(821\) | 22.8349 | − | 9.14171i | 0.796943 | − | 0.319048i | 0.0627853 | − | 0.998027i | \(-0.480002\pi\) |
0.734157 | + | 0.678979i | \(0.237577\pi\) | |||||||
\(822\) | −0.794468 | − | 2.29547i | −0.0277103 | − | 0.0800636i | ||||
\(823\) | −1.51446 | − | 31.7924i | −0.0527906 | − | 1.10821i | −0.857480 | − | 0.514517i | \(-0.827971\pi\) |
0.804690 | − | 0.593696i | \(-0.202332\pi\) | |||||||
\(824\) | 0.657836 | − | 1.90069i | 0.0229168 | − | 0.0662137i | ||||
\(825\) | 6.50817 | + | 1.91097i | 0.226585 | + | 0.0665315i | ||||
\(826\) | −0.497104 | + | 2.71692i | −0.0172965 | + | 0.0945337i | ||||
\(827\) | 4.85826i | 0.168938i | 0.996426 | + | 0.0844691i | \(0.0269194\pi\) | ||||
−0.996426 | + | 0.0844691i | \(0.973081\pi\) | |||||||
\(828\) | −5.23066 | − | 7.86411i | −0.181778 | − | 0.273297i | ||||
\(829\) | 15.0448 | + | 8.68614i | 0.522529 | + | 0.301682i | 0.737969 | − | 0.674835i | \(-0.235785\pi\) |
−0.215440 | + | 0.976517i | \(0.569119\pi\) | |||||||
\(830\) | −0.362384 | − | 0.508897i | −0.0125785 | − | 0.0176641i | ||||
\(831\) | −8.94666 | + | 2.17044i | −0.310356 | + | 0.0752916i | ||||
\(832\) | 2.21858 | − | 1.92241i | 0.0769153 | − | 0.0666475i | ||||
\(833\) | 0.0956420 | + | 0.158665i | 0.00331380 | + | 0.00549743i | ||||
\(834\) | −0.467370 | + | 0.539374i | −0.0161837 | + | 0.0186770i | ||||
\(835\) | −0.906603 | − | 2.26459i | −0.0313743 | − | 0.0783692i | ||||
\(836\) | 15.2118 | + | 3.69033i | 0.526110 | + | 0.127633i | ||||
\(837\) | 3.98653 | − | 2.05520i | 0.137795 | − | 0.0710380i | ||||
\(838\) | 3.99103 | − | 3.13858i | 0.137868 | − | 0.108420i | ||||
\(839\) | −8.81245 | − | 19.2966i | −0.304240 | − | 0.666192i | 0.694330 | − | 0.719657i | \(-0.255701\pi\) |
−0.998570 | + | 0.0534647i | \(0.982974\pi\) | |||||||
\(840\) | 0.408141 | + | 0.509034i | 0.0140822 | + | 0.0175634i | ||||
\(841\) | 0.762611 | + | 5.30407i | 0.0262969 | + | 0.182899i | ||||
\(842\) | 2.37987 | + | 0.113367i | 0.0820157 | + | 0.00390689i | ||||
\(843\) | −0.726344 | + | 2.99403i | −0.0250166 | + | 0.103120i | ||||
\(844\) | −8.00032 | − | 6.29152i | −0.275382 | − | 0.216563i | ||||
\(845\) | −4.47485 | − | 0.862457i | −0.153940 | − | 0.0296694i | ||||
\(846\) | −0.0942368 | − | 0.146635i | −0.00323993 | − | 0.00504143i | ||||
\(847\) | 23.8910 | + | 2.05404i | 0.820906 | + | 0.0705778i | ||||
\(848\) | −13.9816 | + | 47.6168i | −0.480129 | + | 1.63517i | ||||
\(849\) | −0.0921332 | − | 0.964863i | −0.00316200 | − | 0.0331140i | ||||
\(850\) | 0.0112873 | − | 0.0195502i | 0.000387151 | − | 0.000670565i | ||||
\(851\) | 35.5945 | − | 14.9041i | 1.22016 | − | 0.510906i | ||||
\(852\) | −23.5602 | + | 13.6025i | −0.807160 | + | 0.466014i | ||||
\(853\) | −23.3411 | − | 10.6595i | −0.799185 | − | 0.364976i | −0.0264065 | − | 0.999651i | \(-0.508406\pi\) |
−0.772779 | + | 0.634676i | \(0.781134\pi\) | |||||||
\(854\) | 1.47844 | + | 0.930545i | 0.0505913 | + | 0.0318426i | ||||
\(855\) | 1.32775 | + | 1.53230i | 0.0454079 | + | 0.0524035i | ||||
\(856\) | −1.02257 | + | 1.98351i | −0.0349507 | + | 0.0677949i | ||||
\(857\) | −47.0004 | + | 16.2670i | −1.60550 | + | 0.555671i | −0.975324 | − | 0.220778i | \(-0.929140\pi\) |
−0.630180 | + | 0.776449i | \(0.717019\pi\) | |||||||
\(858\) | 0.0607556 | − | 0.0772570i | 0.00207416 | − | 0.00263751i | ||||
\(859\) | −23.5433 | + | 24.6915i | −0.803287 | + | 0.842463i | −0.990163 | − | 0.139921i | \(-0.955315\pi\) |
0.186876 | + | 0.982384i | \(0.440164\pi\) | |||||||
\(860\) | 0.260324 | − | 0.405072i | 0.00887698 | − | 0.0138129i | ||||
\(861\) | −4.01278 | + | 29.9102i | −0.136755 | + | 1.01934i | ||||
\(862\) | −3.16338 | + | 1.44467i | −0.107745 | + | 0.0492055i | ||||
\(863\) | −25.4260 | + | 35.7058i | −0.865511 | + | 1.21544i | 0.109656 | + | 0.993970i | \(0.465025\pi\) |
−0.975167 | + | 0.221471i | \(0.928914\pi\) | |||||||
\(864\) | 0.764634 | − | 1.90996i | 0.0260134 | − | 0.0649782i | ||||
\(865\) | −0.392258 | − | 0.760874i | −0.0133372 | − | 0.0258705i | ||||
\(866\) | 1.69309 | + | 1.61435i | 0.0575334 | + | 0.0548580i | ||||
\(867\) | −16.8263 | − | 2.41925i | −0.571450 | − | 0.0821621i | ||||
\(868\) | −23.3316 | + | 1.33216i | −0.791925 | + | 0.0452165i | ||||
\(869\) | 12.1602 | − | 7.81489i | 0.412507 | − | 0.265102i | ||||
\(870\) | −0.285461 | − | 0.0987990i | −0.00967803 | − | 0.00334960i | ||||
\(871\) | −1.21642 | + | 1.15985i | −0.0412167 | + | 0.0393001i | ||||
\(872\) | −3.78971 | + | 2.69864i | −0.128336 | + | 0.0913875i | ||||
\(873\) | 5.96740 | + | 10.3358i | 0.201966 | + | 0.349815i | ||||
\(874\) | −0.981133 | − | 4.69195i | −0.0331873 | − | 0.158708i | ||||
\(875\) | −2.27139 | − | 8.99164i | −0.0767869 | − | 0.303973i | ||||
\(876\) | 6.28276 | − | 13.7573i | 0.212275 | − | 0.464817i | ||||
\(877\) | −7.28575 | − | 30.0323i | −0.246022 | − | 1.01412i | −0.952052 | − | 0.305936i | \(-0.901031\pi\) |
0.706030 | − | 0.708182i | \(-0.250485\pi\) | |||||||
\(878\) | 0.746327 | + | 3.87231i | 0.0251873 | + | 0.130684i | ||||
\(879\) | −26.6095 | + | 1.26756i | −0.897515 | + | 0.0427539i | ||||
\(880\) | 0.356899 | − | 1.85177i | 0.0120311 | − | 0.0624231i | ||||
\(881\) | −4.04952 | + | 28.1650i | −0.136432 | + | 0.948903i | 0.800486 | + | 0.599352i | \(0.204575\pi\) |
−0.936917 | + | 0.349551i | \(0.886334\pi\) | |||||||
\(882\) | 0.311224 | + | 1.18483i | 0.0104794 | + | 0.0398954i | ||||
\(883\) | 5.24737 | + | 3.37228i | 0.176588 | + | 0.113486i | 0.625949 | − | 0.779864i | \(-0.284712\pi\) |
−0.449361 | + | 0.893350i | \(0.648348\pi\) | |||||||
\(884\) | 0.0130023 | + | 0.0165338i | 0.000437316 | + | 0.000556092i | ||||
\(885\) | 2.10809 | + | 0.201298i | 0.0708627 | + | 0.00676657i | ||||
\(886\) | 5.47644 | + | 0.522936i | 0.183985 | + | 0.0175684i | ||||
\(887\) | −7.19317 | − | 9.14686i | −0.241523 | − | 0.307122i | 0.650146 | − | 0.759809i | \(-0.274708\pi\) |
−0.891669 | + | 0.452688i | \(0.850465\pi\) | |||||||
\(888\) | 4.70213 | + | 3.02187i | 0.157793 | + | 0.101407i | ||||
\(889\) | 25.6429 | + | 43.4625i | 0.860034 | + | 1.45769i | ||||
\(890\) | −0.116462 | + | 0.810012i | −0.00390382 | + | 0.0271517i | ||||
\(891\) | −0.263374 | + | 1.36651i | −0.00882335 | + | 0.0457799i | ||||
\(892\) | −37.3513 | + | 1.77926i | −1.25061 | + | 0.0595740i | ||||
\(893\) | 1.07656 | + | 5.58572i | 0.0360257 | + | 0.186919i | ||||
\(894\) | 0.445115 | + | 1.83479i | 0.0148869 | + | 0.0613645i | ||||
\(895\) | −0.766268 | + | 1.67789i | −0.0256135 | + | 0.0560858i | ||||
\(896\) | −10.2232 | + | 9.93364i | −0.341533 | + | 0.331860i | ||||
\(897\) | 1.88778 | + | 0.426626i | 0.0630312 | + | 0.0142446i | ||||
\(898\) | 1.41011 | + | 2.44238i | 0.0470560 | + | 0.0815033i | ||||
\(899\) | 17.7640 | − | 12.6497i | 0.592463 | − | 0.421891i | ||||
\(900\) | −6.94689 | + | 6.62384i | −0.231563 | + | 0.220795i | ||||
\(901\) | −0.325160 | − | 0.112539i | −0.0108326 | − | 0.00374921i | ||||
\(902\) | −2.33697 | + | 1.50188i | −0.0778125 | + | 0.0500070i | ||||
\(903\) | 1.52357 | − | 0.999576i | 0.0507012 | − | 0.0332638i | ||||
\(904\) | 4.93154 | + | 0.709049i | 0.164021 | + | 0.0235826i | ||||
\(905\) | −1.87301 | − | 1.78591i | −0.0622608 | − | 0.0593656i | ||||
\(906\) | 0.521222 | + | 1.01103i | 0.0173165 | + | 0.0335892i | ||||
\(907\) | −7.45534 | + | 18.6225i | −0.247551 | + | 0.618351i | −0.999148 | − | 0.0412707i | \(-0.986859\pi\) |
0.751597 | + | 0.659622i | \(0.229284\pi\) | |||||||
\(908\) | −11.3706 | + | 15.9678i | −0.377348 | + | 0.529911i | ||||
\(909\) | 9.17925 | − | 4.19202i | 0.304456 | − | 0.139041i | ||||
\(910\) | −0.0657443 | − | 0.00882030i | −0.00217940 | − | 0.000292390i | ||||
\(911\) | 5.63754 | − | 8.77218i | 0.186780 | − | 0.290635i | −0.735217 | − | 0.677831i | \(-0.762920\pi\) |
0.921997 | + | 0.387196i | \(0.126556\pi\) | |||||||
\(912\) | −15.0445 | + | 15.7782i | −0.498172 | + | 0.522468i | ||||
\(913\) | −8.65076 | + | 11.0003i | −0.286298 | + | 0.364058i | ||||
\(914\) | 1.43615 | − | 0.497057i | 0.0475037 | − | 0.0164412i | ||||
\(915\) | 0.613741 | − | 1.19049i | 0.0202896 | − | 0.0393564i | ||||
\(916\) | 7.85985 | + | 9.07076i | 0.259697 | + | 0.299706i | ||||
\(917\) | −16.6009 | − | 31.4686i | −0.548209 | − | 1.03919i | ||||
\(918\) | 0.00421310 | + | 0.00192406i | 0.000139053 | + | 6.35035e-5i | ||||
\(919\) | 2.57305 | − | 1.48555i | 0.0848770 | − | 0.0490038i | −0.456961 | − | 0.889487i | \(-0.651062\pi\) |
0.541838 | + | 0.840483i | \(0.317729\pi\) | |||||||
\(920\) | −1.14480 | + | 0.296880i | −0.0377430 | + | 0.00978785i | ||||
\(921\) | 3.79469 | − | 6.57259i | 0.125039 | − | 0.216574i | ||||
\(922\) | 0.474850 | + | 4.97285i | 0.0156383 | + | 0.163772i | ||||
\(923\) | 1.57059 | − | 5.34893i | 0.0516965 | − | 0.176062i | ||||
\(924\) | 4.15020 | − | 5.94609i | 0.136532 | − | 0.195612i | ||||
\(925\) | −21.2026 | − | 32.9919i | −0.697138 | − | 1.08477i | ||||
\(926\) | −1.15006 | − | 0.221656i | −0.0377933 | − | 0.00728405i | ||||
\(927\) | −2.27594 | − | 1.78982i | −0.0747518 | − | 0.0587855i | ||||
\(928\) | 2.35836 | − | 9.72127i | 0.0774168 | − | 0.319116i | ||||
\(929\) | 14.9448 | + | 0.711908i | 0.490322 | + | 0.0233569i | 0.291288 | − | 0.956636i | \(-0.405916\pi\) |
0.199035 | + | 0.979992i | \(0.436219\pi\) | |||||||
\(930\) | −0.0396553 | − | 0.275809i | −0.00130035 | − | 0.00904413i | ||||
\(931\) | 4.94191 | − | 39.6725i | 0.161965 | − | 1.30021i | ||||
\(932\) | −3.31022 | − | 7.24836i | −0.108430 | − | 0.237428i | ||||
\(933\) | 15.2486 | − | 11.9916i | 0.499217 | − | 0.392589i | ||||
\(934\) | 0.799646 | − | 0.412246i | 0.0261652 | − | 0.0134891i | ||||
\(935\) | 0.0127068 | + | 0.00308263i | 0.000415555 | + | 0.000100813i | ||||
\(936\) | 0.104189 | + | 0.260252i | 0.00340553 | + | 0.00850661i | ||||
\(937\) | 0.0223279 | − | 0.0257677i | 0.000729419 | − | 0.000841795i | −0.755385 | − | 0.655282i | \(-0.772550\pi\) |
0.756114 | + | 0.654440i | \(0.227095\pi\) | |||||||
\(938\) | 1.31752 | − | 1.40814i | 0.0430185 | − | 0.0459774i | ||||
\(939\) | −0.643649 | + | 0.557725i | −0.0210047 | + | 0.0182007i | ||||
\(940\) | 0.676713 | − | 0.164169i | 0.0220719 | − | 0.00535460i | ||||
\(941\) | −31.8249 | − | 44.6919i | −1.03746 | − | 1.45691i | −0.883265 | − | 0.468873i | \(-0.844660\pi\) |
−0.154198 | − | 0.988040i | \(-0.549279\pi\) | |||||||
\(942\) | 1.26839 | + | 0.732304i | 0.0413263 | + | 0.0238598i | ||||
\(943\) | −46.4785 | − | 28.8465i | −1.51355 | − | 0.939371i | ||||
\(944\) | 22.7705i | 0.741117i | ||||||||
\(945\) | 0.884650 | − | 0.315558i | 0.0287777 | − | 0.0102651i | ||||
\(946\) | 0.160942 | + | 0.0472570i | 0.00523269 | + | 0.00153646i | ||||
\(947\) | −12.2305 | + | 35.3378i | −0.397439 | + | 1.14833i | 0.551856 | + | 0.833940i | \(0.313920\pi\) |
−0.949295 | + | 0.314386i | \(0.898201\pi\) | |||||||
\(948\) | 0.973308 | + | 20.4323i | 0.0316116 | + | 0.663609i | ||||
\(949\) | 1.01364 | + | 2.92871i | 0.0329041 | + | 0.0950701i | ||||
\(950\) | −4.52258 | + | 1.81057i | −0.146732 | + | 0.0587426i | ||||
\(951\) | −5.41172 | − | 18.4306i | −0.175487 | − | 0.597654i | ||||
\(952\) | −0.0321989 | − | 0.0364587i | −0.00104357 | − | 0.00118163i | ||||
\(953\) | −19.6040 | + | 2.81863i | −0.635035 | + | 0.0913043i | −0.452312 | − | 0.891860i | \(-0.649400\pi\) |
−0.182724 | + | 0.983164i | \(0.558491\pi\) | |||||||
\(954\) | −1.85334 | − | 1.31976i | −0.0600041 | − | 0.0427287i | ||||
\(955\) | −0.772907 | + | 8.09425i | −0.0250107 | + | 0.261924i | ||||
\(956\) | −29.9625 | − | 11.9952i | −0.969055 | − | 0.387951i | ||||
\(957\) | −0.321968 | + | 6.75893i | −0.0104077 | + | 0.218485i | ||||
\(958\) | −4.53970 | + | 1.33298i | −0.146671 | + | 0.0430665i | ||||
\(959\) | 33.5470 | + | 14.9395i | 1.08329 | + | 0.482421i | ||||
\(960\) | 1.95164 | + | 1.69111i | 0.0629890 | + | 0.0545803i | ||||
\(961\) | −9.67388 | − | 4.98723i | −0.312061 | − | 0.160878i | ||||
\(962\) | −0.557994 | + | 0.107545i | −0.0179905 | + | 0.00346738i | ||||
\(963\) | 2.21688 | + | 2.32499i | 0.0714378 | + | 0.0749218i | ||||
\(964\) | 52.2147 | − | 4.98590i | 1.68172 | − | 0.160585i | ||||
\(965\) | 0.440064 | 0.0141662 | ||||||||
\(966\) | −2.19031 | − | 0.365223i | −0.0704721 | − | 0.0117508i | ||||
\(967\) | 15.1317 | 0.486602 | 0.243301 | − | 0.969951i | \(-0.421770\pi\) | ||||
0.243301 | + | 0.969951i | \(0.421770\pi\) | |||||||
\(968\) | −6.26735 | + | 0.598460i | −0.201440 | + | 0.0192352i | ||||
\(969\) | −0.104309 | − | 0.109396i | −0.00335090 | − | 0.00351432i | ||||
\(970\) | 0.728070 | − | 0.140324i | 0.0233769 | − | 0.00450553i | ||||
\(971\) | 28.9635 | + | 14.9317i | 0.929484 | + | 0.479183i | 0.855341 | − | 0.518065i | \(-0.173347\pi\) |
0.0741432 | + | 0.997248i | \(0.476378\pi\) | |||||||
\(972\) | −1.48835 | − | 1.28967i | −0.0477390 | − | 0.0413660i | ||||
\(973\) | −1.12693 | − | 10.7308i | −0.0361278 | − | 0.344013i | ||||
\(974\) | 5.20824 | − | 1.52928i | 0.166883 | − | 0.0490012i | ||||
\(975\) | 0.0935900 | − | 1.96470i | 0.00299728 | − | 0.0629206i | ||||
\(976\) | 13.3702 | + | 5.35261i | 0.427969 | + | 0.171333i | ||||
\(977\) | −2.11154 | + | 22.1130i | −0.0675541 | + | 0.707458i | 0.896728 | + | 0.442582i | \(0.145937\pi\) |
−0.964282 | + | 0.264877i | \(0.914669\pi\) | |||||||
\(978\) | 2.79590 | + | 1.99095i | 0.0894030 | + | 0.0636636i | ||||
\(979\) | 18.1446 | − | 2.60880i | 0.579904 | − | 0.0833776i | ||||
\(980\) | −4.87967 | − | 0.373187i | −0.155875 | − | 0.0119210i | ||||
\(981\) | 1.88687 | + | 6.42609i | 0.0602431 | + | 0.205169i | ||||
\(982\) | 0.988888 | − | 0.395891i | 0.0315567 | − | 0.0126334i | ||||
\(983\) | −0.395581 | − | 1.14296i | −0.0126171 | − | 0.0364546i | 0.938516 | − | 0.345234i | \(-0.112201\pi\) |
−0.951134 | + | 0.308780i | \(0.900079\pi\) | |||||||
\(984\) | −0.377012 | − | 7.91447i | −0.0120187 | − | 0.252304i | ||||
\(985\) | 0.683747 | − | 1.97556i | 0.0217860 | − | 0.0629465i | ||||
\(986\) | 0.0216080 | + | 0.00634468i | 0.000688139 | + | 0.000202056i | ||||
\(987\) | 2.59217 | + | 0.474278i | 0.0825095 | + | 0.0150964i | ||||
\(988\) | − | 4.53908i | − | 0.144407i | ||||||
\(989\) | 0.521468 | + | 3.26160i | 0.0165817 | + | 0.103713i | ||||
\(990\) | 0.0748760 | + | 0.0432297i | 0.00237972 | + | 0.00137393i | ||||
\(991\) | −2.51326 | − | 3.52938i | −0.0798363 | − | 0.112114i | 0.772727 | − | 0.634739i | \(-0.218892\pi\) |
−0.852563 | + | 0.522625i | \(0.824953\pi\) | |||||||
\(992\) | 8.96727 | − | 2.17544i | 0.284711 | − | 0.0690701i | ||||
\(993\) | −4.41459 | + | 3.82526i | −0.140093 | + | 0.121391i | ||||
\(994\) | −1.44923 | + | 6.22978i | −0.0459668 | + | 0.197597i | ||||
\(995\) | 1.84318 | − | 2.12715i | 0.0584328 | − | 0.0674351i | ||||
\(996\) | −7.36032 | − | 18.3852i | −0.233221 | − | 0.582557i | ||||
\(997\) | 27.2764 | + | 6.61718i | 0.863852 | + | 0.209568i | 0.643119 | − | 0.765766i | \(-0.277640\pi\) |
0.220733 | + | 0.975334i | \(0.429155\pi\) | |||||||
\(998\) | 0.224058 | − | 0.115510i | 0.00709243 | − | 0.00365640i | ||||
\(999\) | 6.32484 | − | 4.97391i | 0.200109 | − | 0.157367i |
(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 | 483.2.bf.a.178.17 | yes | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.40.16 | yes | 640 | |
23.19 | odd | 22 | inner | 483.2.bf.a.157.16 | yes | 640 | |
161.19 | even | 66 | inner | 483.2.bf.a.19.17 | ✓ | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.19.17 | ✓ | 640 | 161.19 | even | 66 | inner | |
483.2.bf.a.40.16 | yes | 640 | 7.5 | odd | 6 | inner | |
483.2.bf.a.157.16 | yes | 640 | 23.19 | odd | 22 | inner | |
483.2.bf.a.178.17 | yes | 640 | 1.1 | even | 1 | trivial |