Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [547,2,Mod(4,547)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(547, base_ring=CyclotomicField(546))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("547.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 547 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 547.o (of order \(273\), degree \(144\), 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: | \(4.36781699056\) |
Analytic rank: | \(0\) |
Dimension: | \(6480\) |
Relative dimension: | \(45\) over \(\Q(\zeta_{273})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{273}]$ |
Embedding invariants
Embedding label | 4.20 | ||
Character | \(\chi\) | \(=\) | 547.4 |
Dual form | 547.2.o.a.137.20 |
$q$-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 \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{273}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.418462 | − | 0.00481573i | −0.295897 | − | 0.00340524i | −0.136568 | − | 0.990631i | \(-0.543607\pi\) |
−0.159329 | + | 0.987225i | \(0.550933\pi\) | |||||||
\(3\) | −0.456265 | + | 1.99903i | −0.263424 | + | 1.15414i | 0.654084 | + | 0.756422i | \(0.273054\pi\) |
−0.917509 | + | 0.397716i | \(0.869803\pi\) | |||||||
\(4\) | −1.82438 | − | 0.0419962i | −0.912192 | − | 0.0209981i | ||||
\(5\) | 0.863080 | − | 1.62172i | 0.385981 | − | 0.725254i | −0.611857 | − | 0.790968i | \(-0.709577\pi\) |
0.997838 | + | 0.0657145i | \(0.0209327\pi\) | |||||||
\(6\) | 0.200556 | − | 0.834318i | 0.0818767 | − | 0.340609i | ||||
\(7\) | 1.13544 | + | 2.79794i | 0.429155 | + | 1.05752i | 0.975507 | + | 0.219966i | \(0.0705948\pi\) |
−0.546352 | + | 0.837556i | \(0.683984\pi\) | |||||||
\(8\) | 1.59971 | + | 0.0552488i | 0.565584 | + | 0.0195334i | ||||
\(9\) | −1.08502 | − | 0.522518i | −0.361673 | − | 0.174173i | ||||
\(10\) | −0.368976 | + | 0.674470i | −0.116680 | + | 0.213286i | ||||
\(11\) | 0.621525 | + | 0.647076i | 0.187397 | + | 0.195101i | 0.808273 | − | 0.588808i | \(-0.200403\pi\) |
−0.620876 | + | 0.783909i | \(0.713223\pi\) | |||||||
\(12\) | 0.916353 | − | 3.62783i | 0.264528 | − | 1.04726i | ||||
\(13\) | 0.665478 | + | 0.100305i | 0.184571 | + | 0.0278195i | 0.240677 | − | 0.970605i | \(-0.422631\pi\) |
−0.0561065 | + | 0.998425i | \(0.517869\pi\) | |||||||
\(14\) | −0.461663 | − | 1.17630i | −0.123385 | − | 0.314379i | ||||
\(15\) | 2.84806 | + | 2.46525i | 0.735366 | + | 0.636525i | ||||
\(16\) | 2.97671 | + | 0.137117i | 0.744179 | + | 0.0342793i | ||||
\(17\) | −0.258924 | + | 1.53730i | −0.0627983 | + | 0.372851i | 0.936929 | + | 0.349518i | \(0.113655\pi\) |
−0.999728 | + | 0.0233327i | \(0.992572\pi\) | |||||||
\(18\) | 0.451523 | + | 0.223879i | 0.106425 | + | 0.0527687i | ||||
\(19\) | −4.32340 | + | 2.33294i | −0.991857 | + | 0.535214i | −0.888228 | − | 0.459402i | \(-0.848064\pi\) |
−0.103629 | + | 0.994616i | \(0.533045\pi\) | |||||||
\(20\) | −1.64269 | + | 2.92239i | −0.367318 | + | 0.653465i | ||||
\(21\) | −6.11121 | + | 0.993169i | −1.33358 | + | 0.216727i | ||||
\(22\) | −0.256968 | − | 0.273770i | −0.0547858 | − | 0.0583679i | ||||
\(23\) | −3.13079 | − | 0.733560i | −0.652815 | − | 0.152958i | −0.111482 | − | 0.993766i | \(-0.535560\pi\) |
−0.541332 | + | 0.840809i | \(0.682080\pi\) | |||||||
\(24\) | −0.840336 | + | 3.17266i | −0.171533 | + | 0.647616i | ||||
\(25\) | 0.907727 | + | 1.34799i | 0.181545 | + | 0.269598i | ||||
\(26\) | −0.277994 | − | 0.0451785i | −0.0545192 | − | 0.00886022i | ||||
\(27\) | −2.29569 | + | 2.87871i | −0.441806 | + | 0.554007i | ||||
\(28\) | −1.95397 | − | 5.15220i | −0.369266 | − | 0.973674i | ||||
\(29\) | −4.82251 | − | 2.74740i | −0.895517 | − | 0.510179i | −0.0235381 | − | 0.999723i | \(-0.507493\pi\) |
−0.871979 | + | 0.489543i | \(0.837163\pi\) | |||||||
\(30\) | −1.17993 | − | 1.04533i | −0.215425 | − | 0.190850i | ||||
\(31\) | 8.22535 | + | 2.95810i | 1.47732 | + | 0.531291i | 0.948315 | − | 0.317331i | \(-0.102786\pi\) |
0.529001 | + | 0.848621i | \(0.322567\pi\) | |||||||
\(32\) | −4.44102 | − | 0.255811i | −0.785068 | − | 0.0452214i | ||||
\(33\) | −1.57710 | + | 0.947206i | −0.274538 | + | 0.164887i | ||||
\(34\) | 0.115753 | − | 0.642056i | 0.0198515 | − | 0.110112i | ||||
\(35\) | 5.51744 | + | 0.573487i | 0.932617 | + | 0.0969371i | ||||
\(36\) | 1.95755 | + | 0.998839i | 0.326258 | + | 0.166473i | ||||
\(37\) | −7.00841 | + | 5.65529i | −1.15217 | + | 0.929724i | −0.998295 | − | 0.0583654i | \(-0.981411\pi\) |
−0.153879 | + | 0.988090i | \(0.549177\pi\) | |||||||
\(38\) | 1.82041 | − | 0.955427i | 0.295310 | − | 0.154991i | ||||
\(39\) | −0.504146 | + | 1.28454i | −0.0807280 | + | 0.205691i | ||||
\(40\) | 1.47028 | − | 2.54660i | 0.232471 | − | 0.402652i | ||||
\(41\) | −0.714930 | − | 1.23829i | −0.111653 | − | 0.193389i | 0.804784 | − | 0.593568i | \(-0.202281\pi\) |
−0.916437 | + | 0.400179i | \(0.868948\pi\) | |||||||
\(42\) | 2.56209 | − | 0.386173i | 0.395339 | − | 0.0595878i | ||||
\(43\) | −0.342265 | + | 3.48793i | −0.0521949 | + | 0.531904i | 0.932929 | + | 0.360060i | \(0.117244\pi\) |
−0.985124 | + | 0.171844i | \(0.945027\pi\) | |||||||
\(44\) | −1.10672 | − | 1.20662i | −0.166845 | − | 0.181904i | ||||
\(45\) | −1.78383 | + | 1.30862i | −0.265918 | + | 0.195077i | ||||
\(46\) | 1.30658 | + | 0.322044i | 0.192645 | + | 0.0474828i | ||||
\(47\) | −8.62626 | + | 0.696384i | −1.25827 | + | 0.101578i | −0.691548 | − | 0.722331i | \(-0.743071\pi\) |
−0.566722 | + | 0.823909i | \(0.691789\pi\) | |||||||
\(48\) | −1.63227 | + | 5.88797i | −0.235598 | + | 0.849855i | ||||
\(49\) | −1.51881 | + | 1.47574i | −0.216974 | + | 0.210819i | ||||
\(50\) | −0.373357 | − | 0.568454i | −0.0528007 | − | 0.0803915i | ||||
\(51\) | −2.95497 | − | 1.21901i | −0.413779 | − | 0.170696i | ||||
\(52\) | −1.20988 | − | 0.210942i | −0.167780 | − | 0.0292524i | ||||
\(53\) | −3.30870 | + | 1.14709i | −0.454485 | + | 0.157565i | −0.545189 | − | 0.838313i | \(-0.683542\pi\) |
0.0907046 | + | 0.995878i | \(0.471088\pi\) | |||||||
\(54\) | 0.974523 | − | 1.19357i | 0.132616 | − | 0.162425i | ||||
\(55\) | 1.58580 | − | 0.449459i | 0.213829 | − | 0.0606050i | ||||
\(56\) | 1.66179 | + | 4.53863i | 0.222066 | + | 0.606500i | ||||
\(57\) | −2.69100 | − | 9.70703i | −0.356431 | − | 1.28573i | ||||
\(58\) | 2.00480 | + | 1.17291i | 0.263244 | + | 0.154010i | ||||
\(59\) | 0.851766 | − | 0.362903i | 0.110890 | − | 0.0472460i | −0.335809 | − | 0.941930i | \(-0.609010\pi\) |
0.446699 | + | 0.894684i | \(0.352599\pi\) | |||||||
\(60\) | −5.09242 | − | 4.61717i | −0.657429 | − | 0.596074i | ||||
\(61\) | −1.97251 | + | 0.922102i | −0.252554 | + | 0.118063i | −0.545630 | − | 0.838026i | \(-0.683710\pi\) |
0.293076 | + | 0.956089i | \(0.405321\pi\) | |||||||
\(62\) | −3.42775 | − | 1.27746i | −0.435324 | − | 0.162238i | ||||
\(63\) | 0.230001 | − | 3.62910i | 0.0289774 | − | 0.457224i | ||||
\(64\) | −4.08838 | − | 0.282736i | −0.511047 | − | 0.0353420i | ||||
\(65\) | 0.737027 | − | 0.992646i | 0.0914169 | − | 0.123123i | ||||
\(66\) | 0.664518 | − | 0.388775i | 0.0817965 | − | 0.0478548i | ||||
\(67\) | 1.49401 | + | 1.45163i | 0.182522 | + | 0.177345i | 0.782459 | − | 0.622702i | \(-0.213965\pi\) |
−0.599937 | + | 0.800047i | \(0.704808\pi\) | |||||||
\(68\) | 0.536937 | − | 2.79376i | 0.0651132 | − | 0.338793i | ||||
\(69\) | 2.89487 | − | 5.92383i | 0.348502 | − | 0.713145i | ||||
\(70\) | −2.30608 | − | 0.266553i | −0.275629 | − | 0.0318592i | ||||
\(71\) | 14.6621 | − | 2.90551i | 1.74007 | − | 0.344821i | 0.780257 | − | 0.625459i | \(-0.215088\pi\) |
0.959814 | + | 0.280638i | \(0.0905461\pi\) | |||||||
\(72\) | −1.70685 | − | 0.895824i | −0.201154 | − | 0.105574i | ||||
\(73\) | −0.893540 | + | 0.773438i | −0.104581 | + | 0.0905241i | −0.705189 | − | 0.709020i | \(-0.749138\pi\) |
0.600608 | + | 0.799544i | \(0.294925\pi\) | |||||||
\(74\) | 2.95998 | − | 2.33277i | 0.344091 | − | 0.271179i | ||||
\(75\) | −3.10883 | + | 1.19953i | −0.358977 | + | 0.138510i | ||||
\(76\) | 7.98552 | − | 4.07462i | 0.916002 | − | 0.467390i | ||||
\(77\) | −1.10478 | + | 2.47370i | −0.125901 | + | 0.281905i | ||||
\(78\) | 0.217152 | − | 0.535104i | 0.0245876 | − | 0.0605886i | ||||
\(79\) | 6.07944 | + | 4.35315i | 0.683990 | + | 0.489768i | 0.870173 | − | 0.492747i | \(-0.164007\pi\) |
−0.186183 | + | 0.982515i | \(0.559612\pi\) | |||||||
\(80\) | 2.79151 | − | 4.70904i | 0.312100 | − | 0.526487i | ||||
\(81\) | −6.95974 | − | 8.72723i | −0.773304 | − | 0.969693i | ||||
\(82\) | 0.293207 | + | 0.521622i | 0.0323793 | + | 0.0576035i | ||||
\(83\) | 14.6950 | + | 9.29257i | 1.61299 | + | 1.01999i | 0.966362 | + | 0.257186i | \(0.0827953\pi\) |
0.646627 | + | 0.762806i | \(0.276179\pi\) | |||||||
\(84\) | 11.1909 | − | 1.55527i | 1.22103 | − | 0.169694i | ||||
\(85\) | 2.26960 | + | 1.74672i | 0.246173 | + | 0.189458i | ||||
\(86\) | 0.160022 | − | 1.45792i | 0.0172556 | − | 0.157211i | ||||
\(87\) | 7.69246 | − | 8.38677i | 0.824719 | − | 0.899156i | ||||
\(88\) | 0.958511 | + | 1.06947i | 0.102178 | + | 0.114006i | ||||
\(89\) | −1.02214 | − | 11.8136i | −0.108347 | − | 1.25224i | −0.829122 | − | 0.559068i | \(-0.811159\pi\) |
0.720775 | − | 0.693169i | \(-0.243786\pi\) | |||||||
\(90\) | 0.752768 | − | 0.539016i | 0.0793487 | − | 0.0568173i | ||||
\(91\) | 0.474963 | + | 1.97586i | 0.0497896 | + | 0.207126i | ||||
\(92\) | 5.68095 | + | 1.46978i | 0.592280 | + | 0.153235i | ||||
\(93\) | −9.66625 | + | 15.0930i | −1.00234 | + | 1.56507i | ||||
\(94\) | 3.61312 | − | 0.249868i | 0.372664 | − | 0.0257720i | ||||
\(95\) | 0.0519281 | + | 9.02485i | 0.00532771 | + | 0.925930i | ||||
\(96\) | 2.53765 | − | 8.76099i | 0.258998 | − | 0.894164i | ||||
\(97\) | −0.00382301 | − | 0.0287194i | −0.000388168 | − | 0.00291601i | 0.991061 | − | 0.133410i | \(-0.0425927\pi\) |
−0.991449 | + | 0.130494i | \(0.958344\pi\) | |||||||
\(98\) | 0.642673 | − | 0.610225i | 0.0649197 | − | 0.0616420i | ||||
\(99\) | −0.336258 | − | 1.02685i | −0.0337952 | − | 0.103202i | ||||
\(100\) | −1.59943 | − | 2.49737i | −0.159943 | − | 0.249737i | ||||
\(101\) | 5.27301 | + | 7.10182i | 0.524684 | + | 0.706658i | 0.983303 | − | 0.181975i | \(-0.0582491\pi\) |
−0.458619 | + | 0.888633i | \(0.651656\pi\) | |||||||
\(102\) | 1.23067 | + | 0.524341i | 0.121855 | + | 0.0519175i | ||||
\(103\) | 1.39077 | + | 3.02025i | 0.137037 | + | 0.297594i | 0.964572 | − | 0.263820i | \(-0.0849826\pi\) |
−0.827535 | + | 0.561414i | \(0.810257\pi\) | |||||||
\(104\) | 1.05903 | + | 0.197226i | 0.103847 | + | 0.0193396i | ||||
\(105\) | −3.66383 | + | 10.7678i | −0.357553 | + | 1.05083i | ||||
\(106\) | 1.39009 | − | 0.464080i | 0.135017 | − | 0.0450754i | ||||
\(107\) | 3.74420 | − | 0.922864i | 0.361966 | − | 0.0892166i | −0.0541385 | − | 0.998533i | \(-0.517241\pi\) |
0.416104 | + | 0.909317i | \(0.363395\pi\) | |||||||
\(108\) | 4.30912 | − | 5.15546i | 0.414645 | − | 0.496084i | ||||
\(109\) | 5.04319 | + | 9.74484i | 0.483050 | + | 0.933387i | 0.997135 | + | 0.0756473i | \(0.0241023\pi\) |
−0.514085 | + | 0.857739i | \(0.671868\pi\) | |||||||
\(110\) | −0.665761 | + | 0.180444i | −0.0634778 | + | 0.0172047i | ||||
\(111\) | −8.10739 | − | 16.5903i | −0.769519 | − | 1.57468i | ||||
\(112\) | 2.99623 | + | 8.48436i | 0.283117 | + | 0.801696i | ||||
\(113\) | 0.170991 | + | 5.94192i | 0.0160855 | + | 0.558969i | 0.967762 | + | 0.251867i | \(0.0810445\pi\) |
−0.951676 | + | 0.307103i | \(0.900641\pi\) | |||||||
\(114\) | 1.07933 | + | 4.07498i | 0.101089 | + | 0.381657i | ||||
\(115\) | −3.89175 | + | 4.44413i | −0.362907 | + | 0.414417i | ||||
\(116\) | 8.68272 | + | 5.21484i | 0.806170 | + | 0.484186i | ||||
\(117\) | −0.669646 | − | 0.456557i | −0.0619088 | − | 0.0422087i | ||||
\(118\) | −0.358179 | + | 0.147759i | −0.0329730 | + | 0.0136023i | ||||
\(119\) | −4.59528 | + | 1.02106i | −0.421248 | + | 0.0936004i | ||||
\(120\) | 4.41987 | + | 4.10104i | 0.403477 | + | 0.374372i | ||||
\(121\) | 0.410511 | − | 10.1867i | 0.0373192 | − | 0.926067i | ||||
\(122\) | 0.829862 | − | 0.376365i | 0.0751321 | − | 0.0340745i | ||||
\(123\) | 2.80158 | − | 0.864173i | 0.252610 | − | 0.0779198i | ||||
\(124\) | −14.8820 | − | 5.74214i | −1.33644 | − | 0.515660i | ||||
\(125\) | 12.1057 | − | 1.25828i | 1.08277 | − | 0.112544i | ||||
\(126\) | −0.113723 | + | 1.51753i | −0.0101313 | + | 0.135193i | ||||
\(127\) | 6.08419 | − | 16.6169i | 0.539885 | − | 1.47452i | −0.311640 | − | 0.950200i | \(-0.600878\pi\) |
0.851524 | − | 0.524315i | \(-0.175678\pi\) | |||||||
\(128\) | 10.5774 | + | 0.853894i | 0.934917 | + | 0.0754743i | ||||
\(129\) | −6.81629 | − | 2.27561i | −0.600141 | − | 0.200357i | ||||
\(130\) | −0.313198 | + | 0.411835i | −0.0274693 | + | 0.0361203i | ||||
\(131\) | 7.72026 | + | 1.62243i | 0.674522 | + | 0.141752i | 0.530322 | − | 0.847796i | \(-0.322071\pi\) |
0.144200 | + | 0.989549i | \(0.453939\pi\) | |||||||
\(132\) | 2.91701 | − | 1.66183i | 0.253894 | − | 0.144644i | ||||
\(133\) | −11.4364 | − | 9.44771i | −0.991661 | − | 0.819221i | ||||
\(134\) | −0.618194 | − | 0.614648i | −0.0534039 | − | 0.0530975i | ||||
\(135\) | 2.68708 | + | 6.20752i | 0.231267 | + | 0.534258i | ||||
\(136\) | −0.499138 | + | 2.44494i | −0.0428007 | + | 0.209652i | ||||
\(137\) | −3.14006 | + | 0.0722822i | −0.268273 | + | 0.00617549i | −0.156942 | − | 0.987608i | \(-0.550164\pi\) |
−0.111331 | + | 0.993783i | \(0.535512\pi\) | |||||||
\(138\) | −1.23992 | + | 2.46495i | −0.105549 | + | 0.209831i | ||||
\(139\) | −15.8454 | − | 7.18632i | −1.34399 | − | 0.609535i | −0.393221 | − | 0.919444i | \(-0.628639\pi\) |
−0.950766 | + | 0.309908i | \(0.899702\pi\) | |||||||
\(140\) | −10.0418 | − | 1.27797i | −0.848690 | − | 0.108008i | ||||
\(141\) | 2.54377 | − | 17.5619i | 0.214224 | − | 1.47898i | ||||
\(142\) | −6.14952 | + | 1.14524i | −0.516056 | + | 0.0961061i | ||||
\(143\) | 0.348706 | + | 0.492957i | 0.0291603 | + | 0.0412231i | ||||
\(144\) | −3.15815 | − | 1.70416i | −0.263179 | − | 0.142013i | ||||
\(145\) | −8.61771 | + | 5.44951i | −0.715662 | + | 0.452557i | ||||
\(146\) | 0.377637 | − | 0.319351i | 0.0312534 | − | 0.0264297i | ||||
\(147\) | −2.25705 | − | 3.70948i | −0.186159 | − | 0.305952i | ||||
\(148\) | 13.0235 | − | 10.0231i | 1.07053 | − | 0.823893i | ||||
\(149\) | 10.3517 | − | 10.5320i | 0.848045 | − | 0.862812i | −0.143885 | − | 0.989594i | \(-0.545960\pi\) |
0.991931 | + | 0.126783i | \(0.0404651\pi\) | |||||||
\(150\) | 1.30670 | − | 0.486986i | 0.106692 | − | 0.0397622i | ||||
\(151\) | 4.34922 | + | 14.3933i | 0.353935 | + | 1.17131i | 0.934159 | + | 0.356857i | \(0.116152\pi\) |
−0.580224 | + | 0.814457i | \(0.697035\pi\) | |||||||
\(152\) | −7.04510 | + | 3.49317i | −0.571433 | + | 0.283334i | ||||
\(153\) | 1.08421 | − | 1.53271i | 0.0876529 | − | 0.123912i | ||||
\(154\) | 0.474219 | − | 1.02983i | 0.0382137 | − | 0.0829860i | ||||
\(155\) | 11.8963 | − | 10.7861i | 0.955536 | − | 0.866361i | ||||
\(156\) | 0.973701 | − | 2.32233i | 0.0779585 | − | 0.185935i | ||||
\(157\) | 0.168516 | + | 0.201613i | 0.0134490 | + | 0.0160905i | 0.773958 | − | 0.633237i | \(-0.218274\pi\) |
−0.760509 | + | 0.649327i | \(0.775051\pi\) | |||||||
\(158\) | −2.52305 | − | 1.85091i | −0.200723 | − | 0.147250i | ||||
\(159\) | −0.783421 | − | 7.13755i | −0.0621293 | − | 0.566045i | ||||
\(160\) | −4.24780 | + | 6.98128i | −0.335818 | + | 0.551919i | ||||
\(161\) | −1.50236 | − | 9.59267i | −0.118403 | − | 0.756008i | ||||
\(162\) | 2.87036 | + | 3.68553i | 0.225516 | + | 0.289563i | ||||
\(163\) | −4.20583 | + | 13.3615i | −0.329426 | + | 1.04655i | 0.632803 | + | 0.774313i | \(0.281904\pi\) |
−0.962229 | + | 0.272242i | \(0.912235\pi\) | |||||||
\(164\) | 1.25230 | + | 2.28915i | 0.0977883 | + | 0.178752i | ||||
\(165\) | 0.174935 | + | 3.37512i | 0.0136187 | + | 0.262753i | ||||
\(166\) | −6.10456 | − | 3.95935i | −0.473805 | − | 0.307305i | ||||
\(167\) | 0.0482425 | − | 2.79453i | 0.00373312 | − | 0.216247i | −0.992121 | − | 0.125283i | \(-0.960016\pi\) |
0.995854 | − | 0.0909641i | \(-0.0289949\pi\) | |||||||
\(168\) | −9.83106 | + | 1.25115i | −0.758482 | + | 0.0965281i | ||||
\(169\) | −11.9896 | − | 3.69832i | −0.922280 | − | 0.284486i | ||||
\(170\) | −0.941329 | − | 0.741864i | −0.0721966 | − | 0.0568984i | ||||
\(171\) | 5.90998 | − | 0.272233i | 0.451947 | − | 0.0208181i | ||||
\(172\) | 0.770901 | − | 6.34894i | 0.0587807 | − | 0.484102i | ||||
\(173\) | −7.06890 | + | 4.70126i | −0.537439 | + | 0.357430i | −0.792864 | − | 0.609399i | \(-0.791411\pi\) |
0.255425 | + | 0.966829i | \(0.417785\pi\) | |||||||
\(174\) | −3.25939 | + | 3.47250i | −0.247094 | + | 0.263249i | ||||
\(175\) | −2.74093 | + | 4.07032i | −0.207195 | + | 0.307688i | ||||
\(176\) | 1.76138 | + | 2.01138i | 0.132769 | + | 0.151614i | ||||
\(177\) | 0.336823 | + | 1.86828i | 0.0253171 | + | 0.140429i | ||||
\(178\) | 0.370835 | + | 4.94846i | 0.0277953 | + | 0.370902i | ||||
\(179\) | −11.8740 | − | 3.36542i | −0.887506 | − | 0.251543i | −0.201804 | − | 0.979426i | \(-0.564680\pi\) |
−0.685702 | + | 0.727882i | \(0.740505\pi\) | |||||||
\(180\) | 3.30935 | − | 2.31251i | 0.246665 | − | 0.172364i | ||||
\(181\) | −3.28542 | − | 16.0930i | −0.244203 | − | 1.19619i | −0.898165 | − | 0.439659i | \(-0.855099\pi\) |
0.653962 | − | 0.756527i | \(-0.273106\pi\) | |||||||
\(182\) | −0.189239 | − | 0.829108i | −0.0140273 | − | 0.0614576i | ||||
\(183\) | −0.943317 | − | 4.36382i | −0.0697320 | − | 0.322583i | ||||
\(184\) | −4.96783 | − | 1.34646i | −0.366234 | − | 0.0992621i | ||||
\(185\) | 3.12247 | + | 16.2466i | 0.229568 | + | 1.19447i | ||||
\(186\) | 4.11764 | − | 6.26930i | 0.301920 | − | 0.459687i | ||||
\(187\) | −1.15568 | + | 0.787929i | −0.0845117 | + | 0.0576191i | ||||
\(188\) | 15.7669 | − | 0.908201i | 1.14992 | − | 0.0662374i | ||||
\(189\) | −10.6611 | − | 3.15462i | −0.775478 | − | 0.229465i | ||||
\(190\) | 0.0217313 | − | 3.77680i | 0.00157656 | − | 0.273998i | ||||
\(191\) | 0.424748 | + | 6.70195i | 0.0307337 | + | 0.484936i | 0.983462 | + | 0.181113i | \(0.0579701\pi\) |
−0.952729 | + | 0.303823i | \(0.901737\pi\) | |||||||
\(192\) | 2.43058 | − | 8.04377i | 0.175412 | − | 0.580509i | ||||
\(193\) | −1.50898 | − | 8.95922i | −0.108619 | − | 0.644899i | −0.986211 | − | 0.165492i | \(-0.947079\pi\) |
0.877593 | − | 0.479407i | \(-0.159148\pi\) | |||||||
\(194\) | 0.00146148 | + | 0.0120364i | 0.000104928 | + | 0.000864161i | ||||
\(195\) | 1.64805 | + | 1.92624i | 0.118019 | + | 0.137941i | ||||
\(196\) | 2.83288 | − | 2.62852i | 0.202348 | − | 0.187752i | ||||
\(197\) | 0.134762 | − | 0.195237i | 0.00960140 | − | 0.0139100i | −0.818154 | − | 0.574999i | \(-0.805002\pi\) |
0.827755 | + | 0.561089i | \(0.189618\pi\) | |||||||
\(198\) | 0.135766 | + | 0.431316i | 0.00964847 | + | 0.0306523i | ||||
\(199\) | 15.9518 | − | 16.6076i | 1.13079 | − | 1.17728i | 0.148700 | − | 0.988882i | \(-0.452491\pi\) |
0.982093 | − | 0.188398i | \(-0.0603293\pi\) | |||||||
\(200\) | 1.37763 | + | 2.20655i | 0.0974130 | + | 0.156026i | ||||
\(201\) | −3.58351 | + | 2.32423i | −0.252762 | + | 0.163939i | ||||
\(202\) | −2.17235 | − | 2.99723i | −0.152846 | − | 0.210885i | ||||
\(203\) | 2.21140 | − | 16.6126i | 0.155210 | − | 1.16597i | ||||
\(204\) | 5.33981 | + | 2.34804i | 0.373861 | + | 0.164396i | ||||
\(205\) | −2.62520 | + | 0.0906659i | −0.183352 | + | 0.00633238i | ||||
\(206\) | −0.567441 | − | 1.27056i | −0.0395355 | − | 0.0885239i | ||||
\(207\) | 3.01367 | + | 2.43182i | 0.209464 | + | 0.169023i | ||||
\(208\) | 1.96719 | + | 0.389827i | 0.136400 | + | 0.0270296i | ||||
\(209\) | −4.19669 | − | 1.34759i | −0.290291 | − | 0.0932146i | ||||
\(210\) | 1.58503 | − | 4.48828i | 0.109377 | − | 0.309721i | ||||
\(211\) | −8.82724 | + | 1.02032i | −0.607693 | + | 0.0702416i | −0.413166 | − | 0.910656i | \(-0.635577\pi\) |
−0.194527 | + | 0.980897i | \(0.562317\pi\) | |||||||
\(212\) | 6.08451 | − | 1.95378i | 0.417886 | − | 0.134186i | ||||
\(213\) | −0.881603 | + | 30.6356i | −0.0604065 | + | 2.09912i | ||||
\(214\) | −1.57125 | + | 0.368152i | −0.107408 | + | 0.0251664i | ||||
\(215\) | 5.36103 | + | 3.56542i | 0.365619 | + | 0.243159i | ||||
\(216\) | −3.83149 | + | 4.47827i | −0.260700 | + | 0.304708i | ||||
\(217\) | 1.06279 | + | 26.3728i | 0.0721466 | + | 1.79030i | ||||
\(218\) | −2.06345 | − | 4.10213i | −0.139755 | − | 0.277831i | ||||
\(219\) | −1.13843 | − | 2.13910i | −0.0769282 | − | 0.144547i | ||||
\(220\) | −2.91198 | + | 0.753387i | −0.196326 | + | 0.0507934i | ||||
\(221\) | −0.326507 | + | 0.997072i | −0.0219632 | + | 0.0670703i | ||||
\(222\) | 3.31274 | + | 6.98144i | 0.222336 | + | 0.468564i | ||||
\(223\) | 3.58571 | + | 4.71498i | 0.240117 | + | 0.315738i | 0.900219 | − | 0.435438i | \(-0.143406\pi\) |
−0.660102 | + | 0.751176i | \(0.729487\pi\) | |||||||
\(224\) | −4.32675 | − | 12.7162i | −0.289093 | − | 0.849634i | ||||
\(225\) | −0.280552 | − | 1.93690i | −0.0187035 | − | 0.129127i | ||||
\(226\) | −0.0429386 | − | 2.48729i | −0.00285624 | − | 0.165452i | ||||
\(227\) | 2.31899 | − | 3.71433i | 0.153917 | − | 0.246529i | −0.762289 | − | 0.647237i | \(-0.775924\pi\) |
0.916206 | + | 0.400708i | \(0.131236\pi\) | |||||||
\(228\) | 4.50175 | + | 17.8224i | 0.298136 | + | 1.18031i | ||||
\(229\) | 1.16220 | + | 11.8437i | 0.0768005 | + | 0.782654i | 0.953455 | + | 0.301534i | \(0.0974987\pi\) |
−0.876655 | + | 0.481120i | \(0.840230\pi\) | |||||||
\(230\) | 1.64995 | − | 1.84096i | 0.108794 | − | 0.121389i | ||||
\(231\) | −4.44093 | − | 3.33714i | −0.292191 | − | 0.219568i | ||||
\(232\) | −7.56283 | − | 4.66149i | −0.496524 | − | 0.306042i | ||||
\(233\) | 5.87379 | + | 7.19409i | 0.384805 | + | 0.471300i | 0.930292 | − | 0.366819i | \(-0.119553\pi\) |
−0.545488 | + | 0.838119i | \(0.683656\pi\) | |||||||
\(234\) | 0.278022 | + | 0.194276i | 0.0181749 | + | 0.0127002i | ||||
\(235\) | −6.31582 | + | 14.5904i | −0.411999 | + | 0.951772i | ||||
\(236\) | −1.56919 | + | 0.626304i | −0.102145 | + | 0.0407689i | ||||
\(237\) | −11.4759 | + | 10.1668i | −0.745440 | + | 0.660402i | ||||
\(238\) | 1.92786 | − | 0.405145i | 0.124965 | − | 0.0262617i | ||||
\(239\) | 6.20422 | − | 13.0751i | 0.401318 | − | 0.845759i | −0.597712 | − | 0.801711i | \(-0.703923\pi\) |
0.999029 | − | 0.0440480i | \(-0.0140255\pi\) | |||||||
\(240\) | 8.13983 | + | 7.72887i | 0.525424 | + | 0.498896i | ||||
\(241\) | −7.02536 | + | 9.69301i | −0.452543 | + | 0.624382i | −0.973359 | − | 0.229287i | \(-0.926360\pi\) |
0.520816 | + | 0.853669i | \(0.325628\pi\) | |||||||
\(242\) | −0.220840 | + | 4.26078i | −0.0141961 | + | 0.273893i | ||||
\(243\) | 10.6693 | − | 5.13808i | 0.684438 | − | 0.329608i | ||||
\(244\) | 3.63734 | − | 1.59943i | 0.232857 | − | 0.102393i | ||||
\(245\) | 1.08237 | + | 3.73676i | 0.0691499 | + | 0.238733i | ||||
\(246\) | −1.17652 | + | 0.348132i | −0.0750119 | + | 0.0221961i | ||||
\(247\) | −3.11114 | + | 1.11887i | −0.197957 | + | 0.0711917i | ||||
\(248\) | 12.9948 | + | 5.18655i | 0.825168 | + | 0.329346i | ||||
\(249\) | −25.2809 | + | 25.1359i | −1.60211 | + | 1.59292i | ||||
\(250\) | −5.07183 | + | 0.468243i | −0.320771 | + | 0.0296143i | ||||
\(251\) | 8.55213 | − | 6.42651i | 0.539806 | − | 0.405638i | −0.295567 | − | 0.955322i | \(-0.595508\pi\) |
0.835372 | + | 0.549684i | \(0.185252\pi\) | |||||||
\(252\) | −0.572019 | + | 6.61122i | −0.0360338 | + | 0.416468i | ||||
\(253\) | −1.47119 | − | 2.48178i | −0.0924932 | − | 0.156028i | ||||
\(254\) | −2.62602 | + | 6.92425i | −0.164771 | + | 0.434466i | ||||
\(255\) | −4.52727 | + | 3.74002i | −0.283509 | + | 0.234209i | ||||
\(256\) | 3.73946 | + | 0.345236i | 0.233717 | + | 0.0215772i | ||||
\(257\) | 5.58473 | − | 3.44225i | 0.348366 | − | 0.214721i | −0.339421 | − | 0.940635i | \(-0.610231\pi\) |
0.687786 | + | 0.725913i | \(0.258583\pi\) | |||||||
\(258\) | 2.84140 | + | 0.985083i | 0.176898 | + | 0.0613286i | ||||
\(259\) | −23.7808 | − | 13.1879i | −1.47767 | − | 0.819454i | ||||
\(260\) | −1.38631 | + | 1.78001i | −0.0859751 | + | 0.110392i | ||||
\(261\) | 3.79695 | + | 5.50083i | 0.235025 | + | 0.340493i | ||||
\(262\) | −3.22282 | − | 0.716103i | −0.199107 | − | 0.0442410i | ||||
\(263\) | 7.61275 | − | 1.32728i | 0.469422 | − | 0.0818438i | 0.0678981 | − | 0.997692i | \(-0.478371\pi\) |
0.401524 | + | 0.915848i | \(0.368481\pi\) | |||||||
\(264\) | −2.57524 | + | 1.42812i | −0.158495 | + | 0.0878950i | ||||
\(265\) | −0.995417 | + | 6.35580i | −0.0611480 | + | 0.390434i | ||||
\(266\) | 4.74019 | + | 4.00858i | 0.290640 | + | 0.245782i | ||||
\(267\) | 24.0820 | + | 3.34684i | 1.47380 | + | 0.204823i | ||||
\(268\) | −2.66468 | − | 2.71108i | −0.162771 | − | 0.165605i | ||||
\(269\) | 15.9811 | + | 7.47080i | 0.974388 | + | 0.455503i | 0.844224 | − | 0.535990i | \(-0.180061\pi\) |
0.130164 | + | 0.991493i | \(0.458450\pi\) | |||||||
\(270\) | −1.09455 | − | 2.61055i | −0.0666120 | − | 0.158873i | ||||
\(271\) | 5.10441 | − | 9.86314i | 0.310071 | − | 0.599143i | −0.681030 | − | 0.732255i | \(-0.738468\pi\) |
0.991101 | + | 0.133112i | \(0.0424971\pi\) | |||||||
\(272\) | −0.981533 | + | 4.54061i | −0.0595142 | + | 0.275315i | ||||
\(273\) | −4.16650 | + | 0.0479488i | −0.252168 | + | 0.00290199i | ||||
\(274\) | 1.31434 | − | 0.0151257i | 0.0794023 | − | 0.000913776i | ||||
\(275\) | −0.308077 | + | 1.42518i | −0.0185777 | + | 0.0859414i | ||||
\(276\) | −5.53013 | + | 10.6858i | −0.332875 | + | 0.643207i | ||||
\(277\) | −4.09161 | − | 9.75870i | −0.245841 | − | 0.586344i | 0.751459 | − | 0.659780i | \(-0.229351\pi\) |
−0.997300 | + | 0.0734365i | \(0.976603\pi\) | |||||||
\(278\) | 6.59608 | + | 3.08351i | 0.395606 | + | 0.184936i | ||||
\(279\) | −7.37900 | − | 7.50749i | −0.441769 | − | 0.449461i | ||||
\(280\) | 8.79463 | + | 1.22225i | 0.525580 | + | 0.0730432i | ||||
\(281\) | 12.4245 | + | 10.5069i | 0.741186 | + | 0.626789i | 0.935163 | − | 0.354217i | \(-0.115252\pi\) |
−0.193978 | + | 0.981006i | \(0.562139\pi\) | |||||||
\(282\) | −1.14904 | + | 7.33672i | −0.0684245 | + | 0.436895i | ||||
\(283\) | −12.7807 | + | 7.08765i | −0.759733 | + | 0.421317i | −0.816703 | − | 0.577059i | \(-0.804200\pi\) |
0.0569699 | + | 0.998376i | \(0.481856\pi\) | |||||||
\(284\) | −26.8713 | + | 4.68501i | −1.59452 | + | 0.278004i | ||||
\(285\) | −18.0646 | − | 4.01391i | −1.07005 | − | 0.237764i | ||||
\(286\) | −0.143546 | − | 0.207963i | −0.00848808 | − | 0.0122971i | ||||
\(287\) | 2.65291 | − | 3.40634i | 0.156597 | − | 0.201070i | ||||
\(288\) | 4.68492 | + | 2.59807i | 0.276062 | + | 0.153093i | ||||
\(289\) | 13.7658 | + | 4.77247i | 0.809755 | + | 0.280733i | ||||
\(290\) | 3.63243 | − | 2.23891i | 0.213303 | − | 0.131473i | ||||
\(291\) | 0.0591551 | + | 0.00546133i | 0.00346773 | + | 0.000320149i | ||||
\(292\) | 1.66264 | − | 1.37352i | 0.0972986 | − | 0.0803793i | ||||
\(293\) | 8.18660 | − | 21.5863i | 0.478266 | − | 1.26108i | −0.451282 | − | 0.892382i | \(-0.649033\pi\) |
0.929548 | − | 0.368702i | \(-0.120198\pi\) | |||||||
\(294\) | 0.926627 | + | 1.56314i | 0.0540420 | + | 0.0911643i | ||||
\(295\) | 0.146615 | − | 1.69454i | 0.00853628 | − | 0.0986598i | ||||
\(296\) | −11.5239 | + | 8.65964i | −0.669812 | + | 0.503331i | ||||
\(297\) | −3.28957 | + | 0.303701i | −0.190880 | + | 0.0176225i | ||||
\(298\) | −4.38252 | + | 4.35737i | −0.253872 | + | 0.252416i | ||||
\(299\) | −2.00989 | − | 0.802201i | −0.116235 | − | 0.0463925i | ||||
\(300\) | 5.72207 | − | 2.05784i | 0.330364 | − | 0.118810i | ||||
\(301\) | −10.1476 | + | 3.00269i | −0.584900 | + | 0.173072i | ||||
\(302\) | −1.75067 | − | 6.04401i | −0.100740 | − | 0.347794i | ||||
\(303\) | −16.6026 | + | 7.30057i | −0.953795 | + | 0.419407i | ||||
\(304\) | −13.1894 | + | 6.35169i | −0.756465 | + | 0.364295i | ||||
\(305\) | −0.207049 | + | 3.99470i | −0.0118556 | + | 0.228736i | ||||
\(306\) | −0.461080 | + | 0.636160i | −0.0263582 | + | 0.0363669i | ||||
\(307\) | 15.2789 | + | 14.5075i | 0.872013 | + | 0.827986i | 0.986215 | − | 0.165472i | \(-0.0529146\pi\) |
−0.114202 | + | 0.993458i | \(0.536431\pi\) | |||||||
\(308\) | 2.11942 | − | 4.46659i | 0.120765 | − | 0.254507i | ||||
\(309\) | −6.67212 | + | 1.40216i | −0.379563 | + | 0.0797661i | ||||
\(310\) | −5.03010 | + | 4.45628i | −0.285691 | + | 0.253100i | ||||
\(311\) | 17.9447 | − | 7.16218i | 1.01755 | − | 0.406130i | 0.198651 | − | 0.980070i | \(-0.436344\pi\) |
0.818897 | + | 0.573940i | \(0.194586\pi\) | |||||||
\(312\) | −0.877458 | + | 2.02705i | −0.0496763 | + | 0.114759i | ||||
\(313\) | −6.60419 | − | 4.61487i | −0.373291 | − | 0.260848i | 0.371099 | − | 0.928593i | \(-0.378981\pi\) |
−0.744390 | + | 0.667745i | \(0.767259\pi\) | |||||||
\(314\) | −0.0695465 | − | 0.0851790i | −0.00392473 | − | 0.00480693i | ||||
\(315\) | −5.68687 | − | 3.50520i | −0.320419 | − | 0.197496i | ||||
\(316\) | −10.9084 | − | 8.19714i | −0.613646 | − | 0.461125i | ||||
\(317\) | 0.749490 | − | 0.836256i | 0.0420956 | − | 0.0469688i | −0.723265 | − | 0.690571i | \(-0.757359\pi\) |
0.765360 | + | 0.643602i | \(0.222561\pi\) | |||||||
\(318\) | 0.293459 | + | 2.99056i | 0.0164564 | + | 0.167703i | ||||
\(319\) | −1.21953 | − | 4.82810i | −0.0682806 | − | 0.270322i | ||||
\(320\) | −3.98711 | + | 6.38617i | −0.222886 | + | 0.356998i | ||||
\(321\) | 0.136480 | + | 7.90583i | 0.00761757 | + | 0.441260i | ||||
\(322\) | 0.582485 | + | 4.02140i | 0.0324606 | + | 0.224104i | ||||
\(323\) | −2.46701 | − | 7.25044i | −0.137268 | − | 0.403425i | ||||
\(324\) | 12.3307 | + | 16.2141i | 0.685040 | + | 0.900783i | ||||
\(325\) | 0.468863 | + | 0.988108i | 0.0260078 | + | 0.0548103i | ||||
\(326\) | 1.82432 | − | 5.57103i | 0.101040 | − | 0.308551i | ||||
\(327\) | −21.7812 | + | 5.63523i | −1.20450 | + | 0.311629i | ||||
\(328\) | −1.07527 | − | 2.02041i | −0.0593717 | − | 0.111559i | ||||
\(329\) | −11.7430 | − | 23.3451i | −0.647414 | − | 1.28706i | ||||
\(330\) | −0.0569501 | − | 1.41320i | −0.00313500 | − | 0.0777943i | ||||
\(331\) | −10.1233 | + | 11.8321i | −0.556425 | + | 0.650352i | −0.964962 | − | 0.262389i | \(-0.915490\pi\) |
0.408537 | + | 0.912742i | \(0.366039\pi\) | |||||||
\(332\) | −26.4191 | − | 17.5703i | −1.44994 | − | 0.964298i | ||||
\(333\) | 10.5592 | − | 2.47408i | 0.578643 | − | 0.135579i | ||||
\(334\) | −0.0336453 | + | 1.16917i | −0.00184099 | + | 0.0639742i | ||||
\(335\) | 3.64358 | − | 1.16998i | 0.199070 | − | 0.0639229i | ||||
\(336\) | −18.3275 | + | 2.11843i | −0.999848 | + | 0.115570i | ||||
\(337\) | 4.48686 | − | 12.7053i | 0.244415 | − | 0.692104i | −0.754926 | − | 0.655810i | \(-0.772327\pi\) |
0.999341 | − | 0.0362945i | \(-0.0115554\pi\) | |||||||
\(338\) | 4.99940 | + | 1.60534i | 0.271931 | + | 0.0873191i | ||||
\(339\) | −11.9561 | − | 2.36927i | −0.649365 | − | 0.128681i | ||||
\(340\) | −4.06726 | − | 3.28200i | −0.220578 | − | 0.177991i | ||||
\(341\) | 3.19814 | + | 7.16096i | 0.173189 | + | 0.387788i | ||||
\(342\) | −2.47441 | + | 0.0854580i | −0.133801 | + | 0.00462104i | ||||
\(343\) | 13.4953 | + | 5.93421i | 0.728678 | + | 0.320417i | ||||
\(344\) | −0.740229 | + | 5.56077i | −0.0399105 | + | 0.299817i | ||||
\(345\) | −7.10826 | − | 9.80740i | −0.382696 | − | 0.528013i | ||||
\(346\) | 2.98071 | − | 1.93326i | 0.160244 | − | 0.103932i | ||||
\(347\) | −6.82196 | − | 10.9267i | −0.366222 | − | 0.586578i | 0.612824 | − | 0.790220i | \(-0.290034\pi\) |
−0.979046 | + | 0.203642i | \(0.934722\pi\) | |||||||
\(348\) | −14.3862 | + | 14.9776i | −0.771182 | + | 0.802885i | ||||
\(349\) | 9.73848 | + | 30.9382i | 0.521289 | + | 1.65608i | 0.734138 | + | 0.679000i | \(0.237586\pi\) |
−0.212850 | + | 0.977085i | \(0.568274\pi\) | |||||||
\(350\) | 1.16657 | − | 1.69008i | 0.0623560 | − | 0.0903383i | ||||
\(351\) | −1.81648 | + | 1.68545i | −0.0969566 | + | 0.0899626i | ||||
\(352\) | −2.59467 | − | 3.03267i | −0.138296 | − | 0.161642i | ||||
\(353\) | −0.620493 | − | 5.11022i | −0.0330255 | − | 0.271990i | −0.999862 | − | 0.0165946i | \(-0.994718\pi\) |
0.966837 | − | 0.255395i | \(-0.0822055\pi\) | |||||||
\(354\) | −0.131950 | − | 0.783426i | −0.00701308 | − | 0.0416386i | ||||
\(355\) | 7.94265 | − | 26.2854i | 0.421552 | − | 1.39509i | ||||
\(356\) | 1.36865 | + | 21.5954i | 0.0725383 | + | 1.14456i | ||||
\(357\) | 0.0555363 | − | 9.65195i | 0.00293929 | − | 0.510835i | ||||
\(358\) | 4.95262 | + | 1.46548i | 0.261754 | + | 0.0774531i | ||||
\(359\) | −22.8886 | + | 1.31843i | −1.20801 | + | 0.0695839i | −0.649795 | − | 0.760109i | \(-0.725145\pi\) |
−0.558219 | + | 0.829693i | \(0.688515\pi\) | |||||||
\(360\) | −2.92592 | + | 1.99486i | −0.154210 | + | 0.105138i | ||||
\(361\) | 2.81868 | − | 4.29157i | 0.148352 | − | 0.225872i | ||||
\(362\) | 1.29732 | + | 6.75014i | 0.0681857 | + | 0.354780i | ||||
\(363\) | 20.1762 | + | 5.46847i | 1.05898 | + | 0.287020i | ||||
\(364\) | −0.783536 | − | 3.62467i | −0.0410684 | − | 0.189984i | ||||
\(365\) | 0.483102 | + | 2.11661i | 0.0252867 | + | 0.110788i | ||||
\(366\) | 0.373727 | + | 1.83064i | 0.0195350 | + | 0.0956889i | ||||
\(367\) | −12.1802 | + | 8.51127i | −0.635801 | + | 0.444285i | −0.845861 | − | 0.533404i | \(-0.820913\pi\) |
0.210059 | + | 0.977689i | \(0.432634\pi\) | |||||||
\(368\) | −9.21888 | − | 2.61288i | −0.480567 | − | 0.136206i | ||||
\(369\) | 0.128682 | + | 1.71714i | 0.00669890 | + | 0.0893905i | ||||
\(370\) | −1.22839 | − | 6.81362i | −0.0638611 | − | 0.354223i | ||||
\(371\) | −6.96631 | − | 7.95509i | −0.361673 | − | 0.413008i | ||||
\(372\) | 18.2688 | − | 27.1295i | 0.947193 | − | 1.40660i | ||||
\(373\) | 6.57308 | − | 7.00285i | 0.340341 | − | 0.362594i | −0.536056 | − | 0.844182i | \(-0.680086\pi\) |
0.876398 | + | 0.481588i | \(0.159940\pi\) | |||||||
\(374\) | 0.487402 | − | 0.324153i | 0.0252030 | − | 0.0167615i | ||||
\(375\) | −3.00807 | + | 24.7737i | −0.155336 | + | 1.27931i | ||||
\(376\) | −13.8380 | + | 0.637423i | −0.713641 | + | 0.0328726i | ||||
\(377\) | −2.93370 | − | 2.31206i | −0.151093 | − | 0.119077i | ||||
\(378\) | 4.44606 | + | 1.37143i | 0.228680 | + | 0.0705386i | ||||
\(379\) | 12.6496 | − | 1.60985i | 0.649766 | − | 0.0826923i | 0.205599 | − | 0.978636i | \(-0.434086\pi\) |
0.444167 | + | 0.895944i | \(0.353500\pi\) | |||||||
\(380\) | 0.284273 | − | 16.4670i | 0.0145829 | − | 0.844738i | ||||
\(381\) | 30.4417 | + | 19.7442i | 1.55958 | + | 1.01152i | ||||
\(382\) | −0.145466 | − | 2.80656i | −0.00744270 | − | 0.143596i | ||||
\(383\) | 4.19866 | + | 7.67494i | 0.214541 | + | 0.392171i | 0.962379 | − | 0.271710i | \(-0.0875893\pi\) |
−0.747838 | + | 0.663881i | \(0.768908\pi\) | |||||||
\(384\) | −6.53304 | + | 20.7548i | −0.333388 | + | 1.05914i | ||||
\(385\) | 3.05813 | + | 3.92664i | 0.155857 | + | 0.200120i | ||||
\(386\) | 0.588304 | + | 3.75636i | 0.0299439 | + | 0.191194i | ||||
\(387\) | 2.19387 | − | 3.60563i | 0.111521 | − | 0.183284i | ||||
\(388\) | 0.00576854 | + | 0.0525557i | 0.000292853 | + | 0.00266811i | ||||
\(389\) | 19.3797 | + | 14.2169i | 0.982591 | + | 0.720828i | 0.960313 | − | 0.278924i | \(-0.0899778\pi\) |
0.0222777 | + | 0.999752i | \(0.492908\pi\) | |||||||
\(390\) | −0.680368 | − | 0.813996i | −0.0344518 | − | 0.0412183i | ||||
\(391\) | 1.93834 | − | 4.62304i | 0.0980261 | − | 0.233797i | ||||
\(392\) | −2.51120 | + | 2.27684i | −0.126835 | + | 0.114998i | ||||
\(393\) | −6.76576 | + | 14.6927i | −0.341287 | + | 0.741151i | ||||
\(394\) | −0.0573330 | + | 0.0810501i | −0.00288840 | + | 0.00408324i | ||||
\(395\) | 12.3066 | − | 6.10200i | 0.619213 | − | 0.307025i | ||||
\(396\) | 0.570339 | + | 1.88748i | 0.0286606 | + | 0.0948497i | ||||
\(397\) | 31.3443 | − | 11.6815i | 1.57313 | − | 0.586277i | 0.596765 | − | 0.802416i | \(-0.296453\pi\) |
0.976363 | + | 0.216139i | \(0.0693464\pi\) | |||||||
\(398\) | −6.75519 | + | 6.87282i | −0.338607 | + | 0.344503i | ||||
\(399\) | 24.1042 | − | 18.5510i | 1.20672 | − | 0.928711i | ||||
\(400\) | 2.51721 | + | 4.13705i | 0.125861 | + | 0.206852i | ||||
\(401\) | 18.7671 | − | 15.8705i | 0.937182 | − | 0.792535i | −0.0412401 | − | 0.999149i | \(-0.513131\pi\) |
0.978423 | + | 0.206614i | \(0.0662444\pi\) | |||||||
\(402\) | 1.51076 | − | 0.955344i | 0.0753497 | − | 0.0476482i | ||||
\(403\) | 5.17708 | + | 2.79359i | 0.257889 | + | 0.139159i | ||||
\(404\) | −9.32174 | − | 13.1779i | −0.463774 | − | 0.655625i | ||||
\(405\) | −20.1599 | + | 3.75442i | −1.00175 | + | 0.186559i | ||||
\(406\) | −1.00539 | + | 6.94108i | −0.0498966 | + | 0.344480i | ||||
\(407\) | −8.01530 | − | 1.02007i | −0.397304 | − | 0.0505628i | ||||
\(408\) | −4.65976 | − | 2.11333i | −0.230692 | − | 0.104625i | ||||
\(409\) | −2.55260 | + | 5.07455i | −0.126218 | + | 0.250920i | −0.947601 | − | 0.319457i | \(-0.896500\pi\) |
0.821383 | + | 0.570377i | \(0.193203\pi\) | |||||||
\(410\) | 1.09898 | − | 0.0252979i | 0.0542749 | − | 0.00124938i | ||||
\(411\) | 1.28820 | − | 6.31004i | 0.0635424 | − | 0.311251i | ||||
\(412\) | −2.41047 | − | 5.56850i | −0.118755 | − | 0.274340i | ||||
\(413\) | 1.98251 | + | 1.97113i | 0.0975529 | + | 0.0969932i | ||||
\(414\) | −1.24939 | − | 1.03214i | −0.0614043 | − | 0.0507267i | ||||
\(415\) | 27.7529 | − | 15.8109i | 1.36234 | − | 0.776128i | ||||
\(416\) | −2.92974 | − | 0.615692i | −0.143642 | − | 0.0301868i | ||||
\(417\) | 21.5953 | − | 28.3965i | 1.05753 | − | 1.39058i | ||||
\(418\) | 1.74967 | + | 0.584124i | 0.0855790 | + | 0.0285705i | ||||
\(419\) | −24.7889 | − | 2.00117i | −1.21102 | − | 0.0977634i | −0.541591 | − | 0.840642i | \(-0.682178\pi\) |
−0.669426 | + | 0.742879i | \(0.733460\pi\) | |||||||
\(420\) | 7.13643 | − | 19.4908i | 0.348222 | − | 0.951053i | ||||
\(421\) | 0.153749 | − | 2.05164i | 0.00749327 | − | 0.0999907i | −0.992203 | − | 0.124631i | \(-0.960225\pi\) |
0.999696 | + | 0.0246408i | \(0.00784420\pi\) | |||||||
\(422\) | 3.69878 | − | 0.384454i | 0.180054 | − | 0.0187149i | ||||
\(423\) | 9.72354 | + | 3.75179i | 0.472774 | + | 0.182418i | ||||
\(424\) | −5.35634 | + | 1.65221i | −0.260127 | + | 0.0802386i | ||||
\(425\) | −2.30730 | + | 1.04643i | −0.111921 | + | 0.0507591i | ||||
\(426\) | 0.516450 | − | 12.8156i | 0.0250221 | − | 0.620917i | ||||
\(427\) | −4.81965 | − | 4.47198i | −0.233239 | − | 0.216414i | ||||
\(428\) | −6.86962 | + | 1.52641i | −0.332056 | + | 0.0737820i | ||||
\(429\) | −1.14454 | + | 0.472154i | −0.0552587 | + | 0.0227958i | ||||
\(430\) | −2.22622 | − | 1.51781i | −0.107358 | − | 0.0731952i | ||||
\(431\) | −33.9910 | − | 20.4150i | −1.63729 | − | 0.983355i | −0.971445 | − | 0.237264i | \(-0.923749\pi\) |
−0.665844 | − | 0.746091i | \(-0.731928\pi\) | |||||||
\(432\) | −7.22834 | + | 8.25431i | −0.347774 | + | 0.397136i | ||||
\(433\) | 4.34282 | + | 16.3962i | 0.208703 | + | 0.787949i | 0.987090 | + | 0.160165i | \(0.0512027\pi\) |
−0.778388 | + | 0.627784i | \(0.783962\pi\) | |||||||
\(434\) | −0.317731 | − | 11.0411i | −0.0152516 | − | 0.529990i | ||||
\(435\) | −6.96176 | − | 19.7134i | −0.333791 | − | 0.945187i | ||||
\(436\) | −8.79146 | − | 17.9901i | −0.421035 | − | 0.861571i | ||||
\(437\) | 15.2470 | − | 4.13248i | 0.729364 | − | 0.197683i | ||||
\(438\) | 0.466089 | + | 0.900614i | 0.0222706 | + | 0.0430330i | ||||
\(439\) | 10.7732 | − | 12.8891i | 0.514176 | − | 0.615163i | −0.445839 | − | 0.895113i | \(-0.647095\pi\) |
0.960014 | + | 0.279950i | \(0.0903180\pi\) | |||||||
\(440\) | 2.56165 | − | 0.631391i | 0.122122 | − | 0.0301004i | ||||
\(441\) | 2.41904 | − | 0.807595i | 0.115192 | − | 0.0384569i | ||||
\(442\) | 0.141432 | − | 0.415664i | 0.00672725 | − | 0.0197711i | ||||
\(443\) | 29.7928 | + | 5.54837i | 1.41550 | + | 0.263611i | 0.834820 | − | 0.550523i | \(-0.185572\pi\) |
0.580677 | + | 0.814134i | \(0.302788\pi\) | |||||||
\(444\) | 14.0943 | + | 30.6075i | 0.668884 | + | 1.45257i | ||||
\(445\) | −20.0405 | − | 8.53845i | −0.950009 | − | 0.404761i | ||||
\(446\) | −1.47778 | − | 1.99031i | −0.0699748 | − | 0.0942437i | ||||
\(447\) | 16.3305 | + | 25.4987i | 0.772408 | + | 1.20605i | ||||
\(448\) | −3.85102 | − | 11.7601i | −0.181944 | − | 0.555611i | ||||
\(449\) | 28.8372 | − | 27.3812i | 1.36091 | − | 1.29220i | 0.442391 | − | 0.896822i | \(-0.354130\pi\) |
0.918519 | − | 0.395377i | \(-0.129386\pi\) | |||||||
\(450\) | 0.108073 | + | 0.811869i | 0.00509460 | + | 0.0382719i | ||||
\(451\) | 0.356924 | − | 1.23224i | 0.0168069 | − | 0.0580241i | ||||
\(452\) | −0.0624156 | − | 10.8475i | −0.00293578 | − | 0.510225i | ||||
\(453\) | −30.7571 | + | 2.12703i | −1.44509 | + | 0.0999367i | ||||
\(454\) | −0.988297 | + | 1.54314i | −0.0463831 | + | 0.0724231i | ||||
\(455\) | 3.61421 | + | 0.935069i | 0.169437 | + | 0.0438367i | ||||
\(456\) | −3.76852 | − | 15.6771i | −0.176477 | − | 0.734149i | ||||
\(457\) | 0.284229 | − | 0.203521i | 0.0132957 | − | 0.00952032i | −0.575518 | − | 0.817789i | \(-0.695200\pi\) |
0.588814 | + | 0.808269i | \(0.299595\pi\) | |||||||
\(458\) | −0.429301 | − | 4.96173i | −0.0200599 | − | 0.231847i | ||||
\(459\) | −3.83104 | − | 4.27454i | −0.178818 | − | 0.199519i | ||||
\(460\) | 7.28667 | − | 7.94436i | 0.339743 | − | 0.370408i | ||||
\(461\) | 3.23155 | − | 29.4419i | 0.150508 | − | 1.37125i | −0.644480 | − | 0.764621i | \(-0.722926\pi\) |
0.794989 | − | 0.606624i | \(-0.207477\pi\) | |||||||
\(462\) | 1.84229 | + | 1.41785i | 0.0857109 | + | 0.0659644i | ||||
\(463\) | −17.2683 | + | 2.39989i | −0.802526 | + | 0.111532i | −0.527115 | − | 0.849794i | \(-0.676726\pi\) |
−0.275412 | + | 0.961326i | \(0.588814\pi\) | |||||||
\(464\) | −13.9785 | − | 8.83948i | −0.648936 | − | 0.410362i | ||||
\(465\) | 16.1338 | + | 28.7024i | 0.748188 | + | 1.33104i | ||||
\(466\) | −2.42331 | − | 3.03874i | −0.112258 | − | 0.140767i | ||||
\(467\) | 8.94416 | − | 15.0881i | 0.413886 | − | 0.698192i | −0.579251 | − | 0.815150i | \(-0.696655\pi\) |
0.993137 | + | 0.116957i | \(0.0373140\pi\) | |||||||
\(468\) | 1.20252 | + | 0.861057i | 0.0555864 | + | 0.0398024i | ||||
\(469\) | −2.36523 | + | 5.82838i | −0.109216 | + | 0.269130i | ||||
\(470\) | 2.71319 | − | 6.07510i | 0.125150 | − | 0.280224i | ||||
\(471\) | −0.479918 | + | 0.244878i | −0.0221134 | + | 0.0112834i | ||||
\(472\) | 1.38263 | − | 0.533482i | 0.0636407 | − | 0.0245555i | ||||
\(473\) | −2.46968 | + | 1.94636i | −0.113556 | + | 0.0894938i | ||||
\(474\) | 4.85118 | − | 4.19913i | 0.222822 | − | 0.192873i | ||||
\(475\) | −7.06925 | − | 3.71023i | −0.324360 | − | 0.170237i | ||||
\(476\) | 8.42643 | − | 1.66982i | 0.386225 | − | 0.0765361i | ||||
\(477\) | 4.18938 | + | 0.484239i | 0.191818 | + | 0.0221718i | ||||
\(478\) | −2.65920 | + | 5.44156i | −0.121629 | + | 0.248891i | ||||
\(479\) | −4.88312 | + | 25.4076i | −0.223116 | + | 1.16090i | 0.680563 | + | 0.732690i | \(0.261735\pi\) |
−0.903679 | + | 0.428211i | \(0.859144\pi\) | |||||||
\(480\) | −12.0176 | − | 11.6768i | −0.548528 | − | 0.532970i | ||||
\(481\) | −5.23119 | + | 3.06050i | −0.238522 | + | 0.139547i | ||||
\(482\) | 2.98652 | − | 4.02232i | 0.136032 | − | 0.183212i | ||||
\(483\) | 19.8615 | + | 1.37354i | 0.903728 | + | 0.0624981i | ||||
\(484\) | −1.17673 | + | 18.5673i | −0.0534879 | + | 0.843967i | ||||
\(485\) | −0.0498742 | − | 0.0185873i | −0.00226467 | − | 0.000844005i | ||||
\(486\) | −4.48945 | + | 2.09871i | −0.203646 | + | 0.0951993i | ||||
\(487\) | −6.40200 | − | 5.80453i | −0.290102 | − | 0.263028i | 0.513640 | − | 0.858006i | \(-0.328297\pi\) |
−0.803743 | + | 0.594977i | \(0.797161\pi\) | |||||||
\(488\) | −3.20640 | + | 1.36612i | −0.145147 | + | 0.0618413i | ||||
\(489\) | −24.7910 | − | 14.5039i | −1.12109 | − | 0.655891i | ||||
\(490\) | −0.434934 | − | 1.56891i | −0.0196483 | − | 0.0708759i | ||||
\(491\) | 2.40262 | + | 6.56197i | 0.108429 | + | 0.296137i | 0.981502 | − | 0.191452i | \(-0.0613196\pi\) |
−0.873073 | + | 0.487589i | \(0.837876\pi\) | |||||||
\(492\) | −5.14745 | + | 1.45893i | −0.232065 | + | 0.0657735i | ||||
\(493\) | 5.47225 | − | 6.70229i | 0.246458 | − | 0.301856i | ||||
\(494\) | 1.30728 | − | 0.453220i | 0.0588173 | − | 0.0203913i | ||||
\(495\) | −1.95547 | − | 0.340937i | −0.0878919 | − | 0.0153240i | ||||
\(496\) | 24.0789 | + | 9.93326i | 1.08118 | + | 0.446016i | ||||
\(497\) | 24.7773 | + | 37.7246i | 1.11142 | + | 1.69218i | ||||
\(498\) | 10.7001 | − | 10.3967i | 0.479485 | − | 0.465885i | ||||
\(499\) | −9.13179 | + | 32.9404i | −0.408795 | + | 1.47462i | 0.416094 | + | 0.909322i | \(0.363399\pi\) |
−0.824889 | + | 0.565295i | \(0.808762\pi\) | |||||||
\(500\) | −22.1383 | + | 1.78719i | −0.990053 | + | 0.0799253i | ||||
\(501\) | 5.56432 | + | 1.37148i | 0.248596 | + | 0.0612733i | ||||
\(502\) | −3.60969 | + | 2.64806i | −0.161108 | + | 0.118189i | ||||
\(503\) | 22.9086 | + | 24.9763i | 1.02144 | + | 1.11364i | 0.993477 | + | 0.114029i | \(0.0363758\pi\) |
0.0279668 | + | 0.999609i | \(0.491097\pi\) | |||||||
\(504\) | 0.568439 | − | 5.79282i | 0.0253203 | − | 0.258033i | ||||
\(505\) | 16.0682 | − | 2.42189i | 0.715024 | − | 0.107773i | ||||
\(506\) | 0.603687 | + | 1.04562i | 0.0268371 | + | 0.0464833i | ||||
\(507\) | 12.8635 | − | 22.2802i | 0.571287 | − | 0.989498i | ||||
\(508\) | −11.7977 | + | 30.0602i | −0.523440 | + | 1.33370i | ||||
\(509\) | −11.5870 | + | 6.08130i | −0.513583 | + | 0.269549i | −0.701542 | − | 0.712628i | \(-0.747505\pi\) |
0.187960 | + | 0.982177i | \(0.439813\pi\) | |||||||
\(510\) | 1.91250 | − | 1.54325i | 0.0846870 | − | 0.0683364i | ||||
\(511\) | −3.17859 | − | 1.62188i | −0.140613 | − | 0.0717477i | ||||
\(512\) | −22.6730 | − | 2.35665i | −1.00201 | − | 0.104150i | ||||
\(513\) | 3.20935 | − | 17.8015i | 0.141696 | − | 0.785957i | ||||
\(514\) | −2.35357 | + | 1.41355i | −0.103812 | + | 0.0623492i | ||||
\(515\) | 6.09834 | + | 0.351276i | 0.268725 | + | 0.0154791i | ||||
\(516\) | 12.3400 | + | 4.43785i | 0.543237 | + | 0.195365i | ||||
\(517\) | −5.81205 | − | 5.14903i | −0.255614 | − | 0.226454i | ||||
\(518\) | 9.88784 | + | 5.63314i | 0.434447 | + | 0.247506i | ||||
\(519\) | −6.17265 | − | 16.2759i | −0.270949 | − | 0.714434i | ||||
\(520\) | 1.23387 | − | 1.54723i | 0.0541089 | − | 0.0678505i | ||||
\(521\) | −4.94690 | − | 0.803949i | −0.216727 | − | 0.0352216i | 0.0510779 | − | 0.998695i | \(-0.483734\pi\) |
−0.267805 | + | 0.963473i | \(0.586298\pi\) | |||||||
\(522\) | −1.56239 | − | 2.32017i | −0.0683838 | − | 0.101551i | ||||
\(523\) | 10.1498 | − | 38.3204i | 0.443821 | − | 1.67563i | −0.260280 | − | 0.965533i | \(-0.583815\pi\) |
0.704102 | − | 0.710099i | \(-0.251350\pi\) | |||||||
\(524\) | −14.0166 | − | 3.28416i | −0.612317 | − | 0.143469i | ||||
\(525\) | −6.88609 | − | 7.33633i | −0.300534 | − | 0.320184i | ||||
\(526\) | −3.19204 | + | 0.518756i | −0.139179 | + | 0.0226189i | ||||
\(527\) | −6.67724 | + | 11.8789i | −0.290865 | + | 0.517455i | ||||
\(528\) | −4.82446 | + | 2.60331i | −0.209958 | + | 0.113295i | ||||
\(529\) | −11.3423 | − | 5.62388i | −0.493146 | − | 0.244517i | ||||
\(530\) | 0.447152 | − | 2.65487i | 0.0194230 | − | 0.115320i | ||||
\(531\) | −1.11381 | − | 0.0513054i | −0.0483350 | − | 0.00222647i | ||||
\(532\) | 20.4676 | + | 17.7165i | 0.887383 | + | 0.768109i | ||||
\(533\) | −0.351563 | − | 0.895769i | −0.0152279 | − | 0.0388001i | ||||
\(534\) | −10.0613 | − | 1.51650i | −0.435395 | − | 0.0656252i | ||||
\(535\) | 1.73493 | − | 6.86854i | 0.0750074 | − | 0.296953i | ||||
\(536\) | 2.30978 | + | 2.40474i | 0.0997674 | + | 0.103869i | ||||
\(537\) | 12.1453 | − | 22.2010i | 0.524107 | − | 0.958042i | ||||
\(538\) | −6.65152 | − | 3.20320i | −0.286767 | − | 0.138100i | ||||
\(539\) | −1.89889 | − | 0.0655816i | −0.0817912 | − | 0.00282480i | ||||
\(540\) | −4.64157 | − | 11.4377i | −0.199741 | − | 0.492202i | ||||
\(541\) | −7.41530 | + | 30.8479i | −0.318809 | + | 1.32625i | 0.551676 | + | 0.834058i | \(0.313988\pi\) |
−0.870485 | + | 0.492195i | \(0.836195\pi\) | |||||||
\(542\) | −2.18350 | + | 4.10277i | −0.0937893 | + | 0.176229i | ||||
\(543\) | 33.6694 | + | 0.775049i | 1.44489 | + | 0.0332606i | ||||
\(544\) | 1.54314 | − | 6.76096i | 0.0661618 | − | 0.289874i | ||||
\(545\) | 20.1560 | + | 0.231959i | 0.863390 | + | 0.00993604i | ||||
\(546\) | 1.74375 | 0.0746257 | ||||||||
\(547\) | 15.1740 | + | 17.7975i | 0.648792 | + | 0.760966i | ||||
\(548\) | 5.73171 | 0.244846 | ||||||||
\(549\) | 2.62203 | + | 0.0301748i | 0.111905 | + | 0.00128783i | ||||
\(550\) | 0.135782 | − | 0.594898i | 0.00578975 | − | 0.0253666i | ||||
\(551\) | 27.2592 | + | 0.627490i | 1.16128 | + | 0.0267320i | ||||
\(552\) | 4.95825 | − | 9.31649i | 0.211037 | − | 0.396536i | ||||
\(553\) | −5.27704 | + | 21.9526i | −0.224403 | + | 0.933521i | ||||
\(554\) | 1.66519 | + | 4.10335i | 0.0707471 | + | 0.174335i | ||||
\(555\) | −33.9021 | − | 1.17087i | −1.43906 | − | 0.0497005i | ||||
\(556\) | 28.6062 | + | 13.7760i | 1.21318 | + | 0.584234i | ||||
\(557\) | −10.2980 | + | 18.8242i | −0.436338 | + | 0.797605i | −0.999589 | − | 0.0286810i | \(-0.990869\pi\) |
0.563250 | + | 0.826286i | \(0.309551\pi\) | |||||||
\(558\) | 3.05168 | + | 3.17713i | 0.129188 | + | 0.134499i | ||||
\(559\) | −0.577625 | + | 2.28681i | −0.0244309 | + | 0.0967218i | ||||
\(560\) | 16.3452 | + | 2.46364i | 0.690711 | + | 0.104108i | ||||
\(561\) | −1.04779 | − | 2.66974i | −0.0442379 | − | 0.112716i | ||||
\(562\) | −5.14859 | − | 4.45657i | −0.217180 | − | 0.187989i | ||||
\(563\) | −31.2335 | − | 1.43871i | −1.31633 | − | 0.0606345i | −0.623552 | − | 0.781782i | \(-0.714311\pi\) |
−0.692782 | + | 0.721147i | \(0.743615\pi\) | |||||||
\(564\) | −5.37834 | + | 31.9327i | −0.226469 | + | 1.34461i | ||||
\(565\) | 9.78370 | + | 4.85106i | 0.411603 | + | 0.204085i | ||||
\(566\) | 5.38236 | − | 2.90436i | 0.226237 | − | 0.122080i | ||||
\(567\) | 16.5159 | − | 29.3822i | 0.693604 | − | 1.23393i | ||||
\(568\) | 23.6157 | − | 3.83792i | 0.990891 | − | 0.161036i | ||||
\(569\) | −11.1508 | − | 11.8799i | −0.467465 | − | 0.498030i | 0.451553 | − | 0.892244i | \(-0.350870\pi\) |
−0.919018 | + | 0.394215i | \(0.871017\pi\) | |||||||
\(570\) | 7.54001 | + | 1.76666i | 0.315816 | + | 0.0739974i | ||||
\(571\) | 6.59454 | − | 24.8974i | 0.275973 | − | 1.04193i | −0.676287 | − | 0.736638i | \(-0.736412\pi\) |
0.952260 | − | 0.305287i | \(-0.0987526\pi\) | |||||||
\(572\) | −0.615472 | − | 0.913986i | −0.0257342 | − | 0.0382157i | ||||
\(573\) | −13.5912 | − | 2.20878i | −0.567779 | − | 0.0922731i | ||||
\(574\) | −1.12655 | + | 1.41265i | −0.0470212 | + | 0.0589627i | ||||
\(575\) | −1.85307 | − | 4.88614i | −0.0772784 | − | 0.203766i | ||||
\(576\) | 4.28823 | + | 2.44302i | 0.178676 | + | 0.101793i | ||||
\(577\) | 9.62487 | + | 8.52689i | 0.400689 | + | 0.354979i | 0.839272 | − | 0.543711i | \(-0.182981\pi\) |
−0.438584 | + | 0.898690i | \(0.644520\pi\) | |||||||
\(578\) | −5.73749 | − | 2.06339i | −0.238648 | − | 0.0858256i | ||||
\(579\) | 18.5982 | + | 1.07129i | 0.772915 | + | 0.0445214i | ||||
\(580\) | 15.9509 | − | 9.58009i | 0.662324 | − | 0.397791i | ||||
\(581\) | −9.31477 | + | 51.6669i | −0.386442 | + | 2.14351i | ||||
\(582\) | −0.0247278 | − | 0.00257023i | −0.00102500 | − | 0.000106540i | ||||
\(583\) | −2.79869 | − | 1.42803i | −0.115910 | − | 0.0591431i | ||||
\(584\) | −1.47214 | + | 1.18791i | −0.0609175 | + | 0.0491562i | ||||
\(585\) | −1.31836 | + | 0.691930i | −0.0545076 | + | 0.0286078i | ||||
\(586\) | −3.52973 | + | 8.99361i | −0.145812 | + | 0.371522i | ||||
\(587\) | 15.3298 | − | 26.5520i | 0.632728 | − | 1.09592i | −0.354263 | − | 0.935146i | \(-0.615268\pi\) |
0.986992 | − | 0.160772i | \(-0.0513984\pi\) | |||||||
\(588\) | 3.96195 | + | 6.86229i | 0.163388 | + | 0.282996i | ||||
\(589\) | −42.4626 | + | 6.40020i | −1.74964 | + | 0.263716i | ||||
\(590\) | −0.0695134 | + | 0.708393i | −0.00286182 | + | 0.0291641i | ||||
\(591\) | 0.328796 | + | 0.358473i | 0.0135249 | + | 0.0147456i | ||||
\(592\) | −21.6375 | + | 15.8732i | −0.889294 | + | 0.652385i | ||||
\(593\) | 26.0523 | + | 6.42132i | 1.06984 | + | 0.263692i | 0.734641 | − | 0.678456i | \(-0.237350\pi\) |
0.335199 | + | 0.942148i | \(0.391197\pi\) | |||||||
\(594\) | 1.37802 | − | 0.111245i | 0.0565409 | − | 0.00456446i | ||||
\(595\) | −2.31022 | + | 8.33349i | −0.0947098 | + | 0.341640i | ||||
\(596\) | −19.3278 | + | 18.7796i | −0.791697 | + | 0.769242i | ||||
\(597\) | 25.9207 | + | 39.4655i | 1.06086 | + | 1.61522i | ||||
\(598\) | 0.837200 | + | 0.345370i | 0.0342357 | + | 0.0141232i | ||||
\(599\) | −40.7178 | − | 7.09915i | −1.66368 | − | 0.290064i | −0.739826 | − | 0.672798i | \(-0.765092\pi\) |
−0.923858 | + | 0.382734i | \(0.874982\pi\) | |||||||
\(600\) | −5.03951 | + | 1.74714i | −0.205737 | + | 0.0713268i | ||||
\(601\) | 30.7218 | − | 37.6273i | 1.25317 | − | 1.53485i | 0.521364 | − | 0.853335i | \(-0.325424\pi\) |
0.731803 | − | 0.681516i | \(-0.238679\pi\) | |||||||
\(602\) | 4.26086 | − | 1.20764i | 0.173660 | − | 0.0492199i | ||||
\(603\) | −0.862523 | − | 2.35569i | −0.0351247 | − | 0.0959313i | ||||
\(604\) | −7.33018 | − | 26.4416i | −0.298261 | − | 1.07589i | ||||
\(605\) | −16.1657 | − | 9.45770i | −0.657229 | − | 0.384510i | ||||
\(606\) | 6.98271 | − | 2.97506i | 0.283653 | − | 0.120853i | ||||
\(607\) | 28.7462 | + | 26.0635i | 1.16677 | + | 1.05788i | 0.997380 | + | 0.0723354i | \(0.0230452\pi\) |
0.169393 | + | 0.985549i | \(0.445819\pi\) | |||||||
\(608\) | 19.7971 | − | 9.25466i | 0.802878 | − | 0.375326i | ||||
\(609\) | 32.2000 | + | 12.0004i | 1.30481 | + | 0.486280i | ||||
\(610\) | 0.105879 | − | 1.67063i | 0.00428693 | − | 0.0676420i | ||||
\(611\) | −5.81044 | − | 0.401827i | −0.235065 | − | 0.0162562i | ||||
\(612\) | −2.04238 | + | 2.75072i | −0.0825581 | + | 0.111191i | ||||
\(613\) | 8.03765 | − | 4.70241i | 0.324638 | − | 0.189928i | −0.333646 | − | 0.942698i | \(-0.608279\pi\) |
0.658284 | + | 0.752770i | \(0.271283\pi\) | |||||||
\(614\) | −6.32377 | − | 6.14441i | −0.255207 | − | 0.247968i | ||||
\(615\) | 1.01654 | − | 5.28922i | 0.0409910 | − | 0.213282i | ||||
\(616\) | −1.90399 | + | 3.89618i | −0.0767141 | + | 0.156981i | ||||
\(617\) | −35.9099 | − | 4.15073i | −1.44568 | − | 0.167102i | −0.644077 | − | 0.764961i | \(-0.722758\pi\) |
−0.801602 | + | 0.597858i | \(0.796019\pi\) | |||||||
\(618\) | 2.79878 | − | 0.554619i | 0.112583 | − | 0.0223101i | ||||
\(619\) | −17.2395 | − | 9.04800i | −0.692915 | − | 0.363670i | 0.0812148 | − | 0.996697i | \(-0.474120\pi\) |
−0.774130 | + | 0.633027i | \(0.781812\pi\) | |||||||
\(620\) | −22.1564 | + | 19.1784i | −0.889824 | + | 0.770223i | ||||
\(621\) | 9.29903 | − | 7.32860i | 0.373157 | − | 0.294086i | ||||
\(622\) | −7.54364 | + | 2.91068i | −0.302472 | + | 0.116708i | ||||
\(623\) | 31.8931 | − | 16.2735i | 1.27777 | − | 0.651983i | ||||
\(624\) | −1.67683 | + | 3.75459i | −0.0671270 | + | 0.150304i | ||||
\(625\) | 5.35213 | − | 13.1887i | 0.214085 | − | 0.527548i | ||||
\(626\) | 2.74138 | + | 1.96295i | 0.109567 | + | 0.0784553i | ||||
\(627\) | 4.60867 | − | 7.77444i | 0.184052 | − | 0.310481i | ||||
\(628\) | −0.298970 | − | 0.374897i | −0.0119302 | − | 0.0149600i | ||||
\(629\) | −6.87926 | − | 12.2383i | −0.274294 | − | 0.487975i | ||||
\(630\) | 2.36286 | + | 1.49418i | 0.0941385 | + | 0.0595296i | ||||
\(631\) | 14.1011 | − | 1.95972i | 0.561357 | − | 0.0780154i | 0.148667 | − | 0.988887i | \(-0.452502\pi\) |
0.412689 | + | 0.910872i | \(0.364590\pi\) | |||||||
\(632\) | 9.48484 | + | 7.29968i | 0.377287 | + | 0.290366i | ||||
\(633\) | 1.98792 | − | 18.1114i | 0.0790126 | − | 0.719864i | ||||
\(634\) | −0.317660 | + | 0.346332i | −0.0126159 | + | 0.0137546i | ||||
\(635\) | −21.6968 | − | 24.2086i | −0.861012 | − | 0.960688i | ||||
\(636\) | 1.12951 | + | 13.0545i | 0.0447880 | + | 0.517646i | ||||
\(637\) | −1.15876 | + | 0.829726i | −0.0459118 | + | 0.0328750i | ||||
\(638\) | 0.487076 | + | 2.02625i | 0.0192835 | + | 0.0802200i | ||||
\(639\) | −17.4268 | − | 4.50867i | −0.689395 | − | 0.178360i | ||||
\(640\) | 10.5139 | − | 16.4165i | 0.415598 | − | 0.648920i | ||||
\(641\) | −27.7827 | + | 1.92134i | −1.09735 | + | 0.0758883i | −0.606295 | − | 0.795240i | \(-0.707345\pi\) |
−0.491056 | + | 0.871128i | \(0.663389\pi\) | |||||||
\(642\) | −0.0190393 | − | 3.30895i | −0.000751422 | − | 0.130594i | ||||
\(643\) | 7.31356 | − | 25.2494i | 0.288419 | − | 0.995737i | −0.677205 | − | 0.735794i | \(-0.736809\pi\) |
0.965624 | − | 0.259943i | \(-0.0837038\pi\) | |||||||
\(644\) | 2.33803 | + | 17.5638i | 0.0921311 | + | 0.692111i | ||||
\(645\) | −9.57341 | + | 9.09006i | −0.376953 | + | 0.357921i | ||||
\(646\) | 0.997433 | + | 3.04591i | 0.0392435 | + | 0.119840i | ||||
\(647\) | −0.668352 | − | 1.04357i | −0.0262756 | − | 0.0410271i | 0.828713 | − | 0.559674i | \(-0.189073\pi\) |
−0.854989 | + | 0.518646i | \(0.826436\pi\) | |||||||
\(648\) | −10.6514 | − | 14.3456i | −0.418427 | − | 0.563548i | ||||
\(649\) | 0.764219 | + | 0.325603i | 0.0299982 | + | 0.0127811i | ||||
\(650\) | −0.191443 | − | 0.415743i | −0.00750900 | − | 0.0163068i | ||||
\(651\) | −53.2048 | − | 9.90842i | −2.08526 | − | 0.388342i | ||||
\(652\) | 8.23418 | − | 24.1999i | 0.322475 | − | 0.947741i | ||||
\(653\) | 19.9978 | − | 6.67624i | 0.782574 | − | 0.261262i | 0.102818 | − | 0.994700i | \(-0.467214\pi\) |
0.679756 | + | 0.733439i | \(0.262086\pi\) | |||||||
\(654\) | 9.14174 | − | 2.25324i | 0.357470 | − | 0.0881086i | ||||
\(655\) | 9.29432 | − | 11.1198i | 0.363159 | − | 0.434486i | ||||
\(656\) | −1.95835 | − | 3.78408i | −0.0764607 | − | 0.147743i | ||||
\(657\) | 1.37364 | − | 0.372305i | 0.0535909 | − | 0.0145250i | ||||
\(658\) | 4.80159 | + | 9.82557i | 0.187185 | + | 0.383041i | ||||
\(659\) | 9.53829 | + | 27.0094i | 0.371559 | + | 1.05214i | 0.968319 | + | 0.249716i | \(0.0803372\pi\) |
−0.596760 | + | 0.802420i | \(0.703546\pi\) | |||||||
\(660\) | −0.177407 | − | 6.16487i | −0.00690556 | − | 0.239967i | ||||
\(661\) | −9.47167 | − | 35.7600i | −0.368405 | − | 1.39090i | −0.855614 | − | 0.517615i | \(-0.826820\pi\) |
0.487208 | − | 0.873286i | \(-0.338015\pi\) | |||||||
\(662\) | 4.29318 | − | 4.90254i | 0.166859 | − | 0.190543i | ||||
\(663\) | −1.84420 | − | 1.10762i | −0.0716227 | − | 0.0430166i | ||||
\(664\) | 22.9944 | + | 15.6773i | 0.892356 | + | 0.608398i | ||||
\(665\) | −25.1920 | + | 10.3924i | −0.976905 | + | 0.403002i | ||||
\(666\) | −4.43055 | + | 0.984459i | −0.171680 | + | 0.0381470i | ||||
\(667\) | 13.0829 | + | 12.1391i | 0.506571 | + | 0.470029i | ||||
\(668\) | −0.205372 | + | 5.09626i | −0.00794610 | + | 0.197180i | ||||
\(669\) | −11.0614 | + | 5.01665i | −0.427658 | + | 0.193955i | ||||
\(670\) | −1.53034 | + | 0.472046i | −0.0591220 | + | 0.0182367i | ||||
\(671\) | −1.82263 | − | 0.703256i | −0.0703620 | − | 0.0271489i | ||||
\(672\) | 27.3941 | − | 2.84736i | 1.05675 | − | 0.109839i | ||||
\(673\) | 0.632735 | − | 8.44326i | 0.0243901 | − | 0.325464i | −0.971641 | − | 0.236460i | \(-0.924013\pi\) |
0.996031 | − | 0.0890036i | \(-0.0283683\pi\) | |||||||
\(674\) | −1.93877 | + | 5.29509i | −0.0746785 | + | 0.203959i | ||||
\(675\) | −5.96433 | − | 0.481491i | −0.229567 | − | 0.0185326i | ||||
\(676\) | 21.7184 | + | 7.25067i | 0.835323 | + | 0.278872i | ||||
\(677\) | −11.4528 | + | 15.0597i | −0.440166 | + | 0.578790i | −0.961584 | − | 0.274511i | \(-0.911484\pi\) |
0.521418 | + | 0.853302i | \(0.325403\pi\) | |||||||
\(678\) | 4.99175 | + | 1.04903i | 0.191707 | + | 0.0402877i | ||||
\(679\) | 0.0760143 | − | 0.0433056i | 0.00291716 | − | 0.00166192i | ||||
\(680\) | 3.53420 | + | 2.91964i | 0.135530 | + | 0.111963i | ||||
\(681\) | 6.36697 | + | 6.33044i | 0.243983 | + | 0.242583i | ||||
\(682\) | −1.30381 | − | 3.01199i | −0.0499257 | − | 0.115335i | ||||
\(683\) | −1.81261 | + | 8.87873i | −0.0693575 | + | 0.339735i | −0.999632 | − | 0.0271289i | \(-0.991364\pi\) |
0.930274 | + | 0.366864i | \(0.119569\pi\) | |||||||
\(684\) | −10.7935 | + | 0.248460i | −0.412700 | + | 0.00950010i | ||||
\(685\) | −2.59290 | + | 5.15467i | −0.0990696 | + | 0.196950i | ||||
\(686\) | −5.61869 | − | 2.54823i | −0.214523 | − | 0.0972919i | ||||
\(687\) | −24.2061 | − | 3.08059i | −0.923522 | − | 0.117532i | ||||
\(688\) | −1.49708 | + | 10.3356i | −0.0570756 | + | 0.394042i | ||||
\(689\) | −2.31693 | + | 0.431486i | −0.0882679 | + | 0.0164383i | ||||
\(690\) | 2.92731 | + | 4.13825i | 0.111441 | + | 0.157541i | ||||
\(691\) | −21.1328 | − | 11.4034i | −0.803929 | − | 0.433806i | 0.0204875 | − | 0.999790i | \(-0.493478\pi\) |
−0.824416 | + | 0.565984i | \(0.808496\pi\) | |||||||
\(692\) | 13.0938 | − | 8.28003i | 0.497753 | − | 0.314760i | ||||
\(693\) | 2.49126 | − | 2.10675i | 0.0946350 | − | 0.0800288i | ||||
\(694\) | 2.80211 | + | 4.60528i | 0.106367 | + | 0.174814i | ||||
\(695\) | −25.3300 | + | 19.4943i | −0.960822 | + | 0.739463i | ||||
\(696\) | 12.7691 | − | 12.9914i | 0.484011 | − | 0.492439i | ||||
\(697\) | 2.08875 | − | 0.778440i | 0.0791170 | − | 0.0294855i | ||||
\(698\) | −3.92619 | − | 12.9934i | −0.148608 | − | 0.491806i | ||||
\(699\) | −17.0612 | + | 8.45945i | −0.645312 | + | 0.319966i | ||||
\(700\) | 5.17144 | − | 7.31072i | 0.195462 | − | 0.276319i | ||||
\(701\) | −9.40445 | + | 20.4230i | −0.355201 | + | 0.771366i | 0.644774 | + | 0.764373i | \(0.276951\pi\) |
−0.999976 | + | 0.00699328i | \(0.997774\pi\) | |||||||
\(702\) | 0.768245 | − | 0.696548i | 0.0289955 | − | 0.0262895i | ||||
\(703\) | 17.1067 | − | 40.8003i | 0.645191 | − | 1.53881i | ||||
\(704\) | −2.35808 | − | 2.82122i | −0.0888734 | − | 0.106329i | ||||
\(705\) | −26.2849 | − | 19.2826i | −0.989946 | − | 0.726223i | ||||
\(706\) | 0.235043 | + | 2.14142i | 0.00884597 | + | 0.0805934i | ||||
\(707\) | −13.8833 | + | 22.8172i | −0.522135 | + | 0.858131i | ||||
\(708\) | −0.536033 | − | 3.42261i | −0.0201454 | − | 0.128629i | ||||
\(709\) | −21.1621 | − | 27.1720i | −0.794757 | − | 1.02047i | −0.999135 | − | 0.0415746i | \(-0.986763\pi\) |
0.204378 | − | 0.978892i | \(-0.434483\pi\) | |||||||
\(710\) | −3.45028 | + | 10.9612i | −0.129487 | + | 0.411367i | ||||
\(711\) | −4.32170 | − | 7.89987i | −0.162077 | − | 0.296268i | ||||
\(712\) | −0.982444 | − | 18.9548i | −0.0368186 | − | 0.710362i | ||||
\(713\) | −23.5819 | − | 15.2950i | −0.883149 | − | 0.572801i | ||||
\(714\) | −0.0697210 | + | 4.03870i | −0.00260924 | + | 0.151145i | ||||
\(715\) | 1.10040 | − | 0.140042i | 0.0411525 | − | 0.00523727i | ||||
\(716\) | 21.5214 | + | 6.63848i | 0.804294 | + | 0.248092i | ||||
\(717\) | 23.3067 | + | 18.3681i | 0.870406 | + | 0.685970i | ||||
\(718\) | 9.58435 | − | 0.441486i | 0.357685 | − | 0.0164761i | ||||
\(719\) | −2.52362 | + | 20.7839i | −0.0941153 | + | 0.775109i | 0.866875 | + | 0.498526i | \(0.166125\pi\) |
−0.960990 | + | 0.276583i | \(0.910798\pi\) | |||||||
\(720\) | −5.48940 | + | 3.65079i | −0.204578 | + | 0.136057i | ||||
\(721\) | −6.87134 | + | 7.32061i | −0.255902 | + | 0.272634i | ||||
\(722\) | −1.20018 | + | 1.78228i | −0.0446659 | + | 0.0663297i | ||||
\(723\) | −16.1712 | − | 18.4664i | −0.601412 | − | 0.686775i | ||||
\(724\) | 5.31801 | + | 29.4978i | 0.197642 | + | 1.09628i | ||||
\(725\) | −0.674051 | − | 8.99458i | −0.0250336 | − | 0.334050i | ||||
\(726\) | −8.41665 | − | 2.38551i | −0.312371 | − | 0.0885345i | ||||
\(727\) | −8.97635 | + | 6.27248i | −0.332914 | + | 0.232634i | −0.727313 | − | 0.686306i | \(-0.759231\pi\) |
0.394399 | + | 0.918939i | \(0.370953\pi\) | |||||||
\(728\) | 0.650640 | + | 3.18705i | 0.0241143 | + | 0.118120i | ||||
\(729\) | −2.04859 | − | 8.97547i | −0.0758738 | − | 0.332425i | ||||
\(730\) | −0.191967 | − | 0.888045i | −0.00710500 | − | 0.0328680i | ||||
\(731\) | −5.27339 | − | 1.42927i | −0.195043 | − | 0.0528636i | ||||
\(732\) | 1.53771 | + | 8.00090i | 0.0568353 | + | 0.295722i | ||||
\(733\) | 15.1918 | − | 23.1302i | 0.561121 | − | 0.854332i | −0.437880 | − | 0.899034i | \(-0.644270\pi\) |
0.999000 | + | 0.0447017i | \(0.0142337\pi\) | |||||||
\(734\) | 5.13794 | − | 3.50299i | 0.189645 | − | 0.129298i | ||||
\(735\) | −7.96373 | + | 0.458726i | −0.293747 | + | 0.0169204i | ||||
\(736\) | 13.7162 | + | 4.05864i | 0.505587 | + | 0.149603i | ||||
\(737\) | −0.0107538 | + | 1.86896i | −0.000396122 | + | 0.0688441i | ||||
\(738\) | −0.0455791 | − | 0.719176i | −0.00167779 | − | 0.0264732i | ||||
\(739\) | −6.93878 | + | 22.9632i | −0.255247 | + | 0.844717i | 0.731415 | + | 0.681933i | \(0.238860\pi\) |
−0.986662 | + | 0.162784i | \(0.947953\pi\) | |||||||
\(740\) | −5.01428 | − | 29.7712i | −0.184328 | − | 1.09441i | ||||
\(741\) | −0.817138 | − | 6.72974i | −0.0300183 | − | 0.247223i | ||||
\(742\) | 2.87683 | + | 3.36245i | 0.105612 | + | 0.123439i | ||||
\(743\) | −14.9757 | + | 13.8954i | −0.549406 | + | 0.509774i | −0.905312 | − | 0.424747i | \(-0.860363\pi\) |
0.355906 | + | 0.934522i | \(0.384172\pi\) | |||||||
\(744\) | −16.2971 | + | 23.6104i | −0.597481 | + | 0.865600i | ||||
\(745\) | −8.14549 | − | 25.8775i | −0.298428 | − | 0.948077i | ||||
\(746\) | −2.78431 | + | 2.89877i | −0.101941 | + | 0.106132i | ||||
\(747\) | −11.0889 | − | 17.7610i | −0.405720 | − | 0.649842i | ||||
\(748\) | 2.14149 | − | 1.38895i | 0.0783007 | − | 0.0507851i | ||||
\(749\) | 6.83343 | + | 9.42821i | 0.249688 | + | 0.344499i | ||||
\(750\) | 1.37807 | − | 10.3524i | 0.0503198 | − | 0.378015i | ||||
\(751\) | 23.0040 | + | 10.1154i | 0.839427 | + | 0.369116i | 0.777437 | − | 0.628960i | \(-0.216519\pi\) |
0.0619894 | + | 0.998077i | \(0.480255\pi\) | |||||||
\(752\) | −25.7734 | + | 0.890129i | −0.939860 | + | 0.0324597i | ||||
\(753\) | 8.94472 | + | 20.0281i | 0.325964 | + | 0.729865i | ||||
\(754\) | 1.21651 | + | 0.981635i | 0.0443025 | + | 0.0357490i | ||||
\(755\) | 27.0956 | + | 5.36940i | 0.986111 | + | 0.195413i | ||||
\(756\) | 19.3174 | + | 6.20295i | 0.702567 | + | 0.225599i | ||||
\(757\) | −3.47981 | + | 9.85369i | −0.126476 | + | 0.358138i | −0.989008 | − | 0.147864i | \(-0.952760\pi\) |
0.862532 | + | 0.506003i | \(0.168877\pi\) | |||||||
\(758\) | −5.30112 | + | 0.612743i | −0.192546 | + | 0.0222558i | ||||
\(759\) | 5.63240 | − | 1.80860i | 0.204443 | − | 0.0656482i | ||||
\(760\) | −0.415542 | + | 14.4400i | −0.0150733 | + | 0.523795i | ||||
\(761\) | 3.32350 | − | 0.778712i | 0.120477 | − | 0.0282283i | −0.167451 | − | 0.985880i | \(-0.553554\pi\) |
0.287928 | + | 0.957652i | \(0.407034\pi\) | |||||||
\(762\) | −12.6436 | − | 8.40878i | −0.458029 | − | 0.304618i | ||||
\(763\) | −21.5393 | + | 25.1752i | −0.779773 | + | 0.911403i | ||||
\(764\) | −0.493447 | − | 12.2448i | −0.0178523 | − | 0.443000i | ||||
\(765\) | −1.54987 | − | 3.08113i | −0.0560356 | − | 0.111398i | ||||
\(766\) | −1.72002 | − | 3.23189i | −0.0621467 | − | 0.116773i | ||||
\(767\) | 0.603233 | − | 0.156068i | 0.0217815 | − | 0.00563530i | ||||
\(768\) | −2.39632 | + | 7.31777i | −0.0864698 | + | 0.264057i | ||||
\(769\) | −3.81682 | − | 8.04377i | −0.137638 | − | 0.290066i | 0.822914 | − | 0.568166i | \(-0.192347\pi\) |
−0.960552 | + | 0.278100i | \(0.910295\pi\) | |||||||
\(770\) | −1.26080 | − | 1.65787i | −0.0454362 | − | 0.0597457i | ||||
\(771\) | 4.33303 | + | 12.7346i | 0.156050 | + | 0.458625i | ||||
\(772\) | 2.37670 | + | 16.4084i | 0.0855393 | + | 0.590552i | ||||
\(773\) | 0.317844 | + | 18.4116i | 0.0114320 | + | 0.662220i | 0.949150 | + | 0.314823i | \(0.101945\pi\) |
−0.937718 | + | 0.347397i | \(0.887066\pi\) | |||||||
\(774\) | −0.935413 | + | 1.49825i | −0.0336227 | + | 0.0538536i | ||||
\(775\) | 3.47888 | + | 13.7728i | 0.124965 | + | 0.494735i | ||||
\(776\) | −0.00452901 | − | 0.0461540i | −0.000162582 | − | 0.00165683i | ||||
\(777\) | 37.2132 | − | 41.5212i | 1.33502 | − | 1.48957i | ||||
\(778\) | −8.04121 | − | 6.04257i | −0.288291 | − | 0.216637i | ||||
\(779\) | 5.97980 | + | 3.68576i | 0.214249 | + | 0.132056i | ||||
\(780\) | −2.92577 | − | 3.58342i | −0.104759 | − | 0.128307i | ||||
\(781\) | 10.9929 | + | 7.68164i | 0.393358 | + | 0.274871i | ||||
\(782\) | −0.833385 | + | 1.92523i | −0.0298018 | + | 0.0688461i | ||||
\(783\) | 18.9800 | − | 7.57540i | 0.678288 | − | 0.270723i | ||||
\(784\) | −4.72343 | + | 4.18459i | −0.168694 | + | 0.149450i | ||||
\(785\) | 0.472402 | − | 0.0992763i | 0.0168608 | − | 0.00354332i | ||||
\(786\) | 2.90197 | − | 6.11577i | 0.103510 | − | 0.218142i | ||||
\(787\) | −5.49952 | − | 5.22186i | −0.196037 | − | 0.186139i | 0.584226 | − | 0.811591i | \(-0.301398\pi\) |
−0.780263 | + | 0.625452i | \(0.784915\pi\) | |||||||
\(788\) | −0.254057 | + | 0.350527i | −0.00905041 | + | 0.0124870i | ||||
\(789\) | −0.820154 | + | 15.8237i | −0.0291983 | + | 0.563338i | ||||
\(790\) | −5.17924 | + | 2.49419i | −0.184269 | + | 0.0887392i | ||||
\(791\) | −16.4310 | + | 7.22511i | −0.584219 | + | 0.256895i | ||||
\(792\) | −0.481183 | − | 1.66124i | −0.0170981 | − | 0.0590295i | ||||
\(793\) | −1.40516 | + | 0.415786i | −0.0498985 | + | 0.0147650i | ||||
\(794\) | −13.1727 | + | 4.73731i | −0.467480 | + | 0.168121i | ||||
\(795\) | −12.2512 | − | 4.88979i | −0.434507 | − | 0.173423i | ||||
\(796\) | −29.7996 | + | 29.6287i | −1.05622 | + | 1.05016i | ||||
\(797\) | −15.9110 | + | 1.46894i | −0.563595 | + | 0.0520324i | −0.369971 | − | 0.929043i | \(-0.620632\pi\) |
−0.193624 | + | 0.981076i | \(0.562024\pi\) | |||||||
\(798\) | −10.1760 | + | 7.64680i | −0.360228 | + | 0.270694i | ||||
\(799\) | 1.16299 | − | 13.4415i | 0.0411437 | − | 0.475526i | ||||
\(800\) | −3.68640 | − | 6.21865i | −0.130334 | − | 0.219863i | ||||
\(801\) | −5.06377 | + | 13.3521i | −0.178919 | + | 0.471772i | ||||
\(802\) | −7.92973 | + | 6.55082i | −0.280008 | + | 0.231318i | ||||
\(803\) | −1.05583 | − | 0.0974767i | −0.0372594 | − | 0.00343988i | ||||
\(804\) | 6.63531 | − | 4.08979i | 0.234009 | − | 0.144236i | ||||
\(805\) | −16.8532 | − | 5.84284i | −0.593999 | − | 0.205933i | ||||
\(806\) | −2.15296 | − | 1.19394i | −0.0758347 | − | 0.0420549i | ||||
\(807\) | −22.2259 | + | 28.5381i | −0.782390 | + | 1.00459i | ||||
\(808\) | 8.04293 | + | 11.6522i | 0.282949 | + | 0.409923i | ||||
\(809\) | 22.1713 | + | 4.92641i | 0.779501 | + | 0.173203i | 0.588620 | − | 0.808410i | \(-0.299672\pi\) |
0.190881 | + | 0.981613i | \(0.438866\pi\) | |||||||
\(810\) | 8.45423 | − | 1.47400i | 0.297051 | − | 0.0517909i | ||||
\(811\) | −41.0005 | + | 22.7372i | −1.43972 | + | 0.798412i | −0.995247 | − | 0.0973790i | \(-0.968954\pi\) |
−0.444475 | + | 0.895791i | \(0.646610\pi\) | |||||||
\(812\) | −4.73211 | + | 30.2149i | −0.166065 | + | 1.06033i | ||||
\(813\) | 17.3877 | + | 14.7040i | 0.609814 | + | 0.515693i | ||||
\(814\) | 3.34918 | + | 0.465458i | 0.117389 | + | 0.0163143i | ||||
\(815\) | 18.0386 | + | 18.3527i | 0.631866 | + | 0.642868i | ||||
\(816\) | −8.62896 | − | 4.03383i | −0.302074 | − | 0.141212i | ||||
\(817\) | −6.65739 | − | 15.8782i | −0.232913 | − | 0.555508i | ||||
\(818\) | 1.09260 | − | 2.11121i | 0.0382020 | − | 0.0738168i | ||||
\(819\) | 0.517077 | − | 2.39202i | 0.0180681 | − | 0.0835840i | ||||
\(820\) | 4.79318 | − | 0.0551608i | 0.167385 | − | 0.00192630i | ||||
\(821\) | −37.5075 | + | 0.431643i | −1.30902 | + | 0.0150644i | −0.663210 | − | 0.748433i | \(-0.730807\pi\) |
−0.645811 | + | 0.763498i | \(0.723481\pi\) | |||||||
\(822\) | −0.569451 | + | 2.63431i | −0.0198619 | + | 0.0918820i | ||||
\(823\) | −5.30647 | + | 10.2536i | −0.184972 | + | 0.357417i | −0.962435 | − | 0.271511i | \(-0.912477\pi\) |
0.777464 | + | 0.628928i | \(0.216506\pi\) | |||||||
\(824\) | 2.05797 | + | 4.90837i | 0.0716929 | + | 0.170991i | ||||
\(825\) | −2.70840 | − | 1.26611i | −0.0942944 | − | 0.0440803i | ||||
\(826\) | −0.820112 | − | 0.834392i | −0.0285353 | − | 0.0290322i | ||||
\(827\) | −11.0421 | − | 1.53460i | −0.383973 | − | 0.0533632i | −0.0569435 | − | 0.998377i | \(-0.518136\pi\) |
−0.327029 | + | 0.945014i | \(0.606048\pi\) | |||||||
\(828\) | −5.39596 | − | 4.56313i | −0.187522 | − | 0.158580i | ||||
\(829\) | 1.15021 | − | 7.34413i | 0.0399483 | − | 0.255072i | −0.959716 | − | 0.280971i | \(-0.909344\pi\) |
0.999665 | + | 0.0258985i | \(0.00824467\pi\) | |||||||
\(830\) | −11.6897 | + | 6.48262i | −0.405754 | + | 0.225015i | ||||
\(831\) | 21.3748 | − | 3.72669i | 0.741482 | − | 0.129277i | ||||
\(832\) | −2.69237 | − | 0.598238i | −0.0933411 | − | 0.0207402i | ||||
\(833\) | −1.87540 | − | 2.71698i | −0.0649787 | − | 0.0941379i | ||||
\(834\) | −9.17356 | + | 11.7788i | −0.317655 | + | 0.407868i | ||||
\(835\) | −4.49029 | − | 2.49014i | −0.155393 | − | 0.0861747i | ||||
\(836\) | 7.59978 | + | 2.63476i | 0.262844 | + | 0.0911252i | ||||
\(837\) | −27.3984 | + | 16.8875i | −0.947026 | + | 0.583717i | ||||
\(838\) | 10.3636 | + | 0.956788i | 0.358003 | + | 0.0330517i | ||||
\(839\) | 20.3917 | − | 16.8458i | 0.704000 | − | 0.581581i | −0.214632 | − | 0.976695i | \(-0.568855\pi\) |
0.918632 | + | 0.395114i | \(0.129295\pi\) | |||||||
\(840\) | −6.45598 | + | 17.0230i | −0.222753 | + | 0.587350i | ||||
\(841\) | 0.920317 | + | 1.55250i | 0.0317351 | + | 0.0535344i | ||||
\(842\) | −0.0742182 | + | 0.857791i | −0.00255773 | + | 0.0295614i | ||||
\(843\) | −26.6724 | + | 20.0430i | −0.918648 | + | 0.690319i | ||||
\(844\) | 16.1471 | − | 1.49074i | 0.555807 | − | 0.0513134i | ||||
\(845\) | −16.3456 | + | 16.2519i | −0.562307 | + | 0.559081i | ||||
\(846\) | −4.05086 | − | 1.61680i | −0.139271 | − | 0.0555869i | ||||
\(847\) | 28.9680 | − | 10.4178i | 0.995351 | − | 0.357960i | ||||
\(848\) | −10.0063 | + | 2.96088i | −0.343619 | + | 0.101677i | ||||
\(849\) | −8.33703 | − | 28.7828i | −0.286126 | − | 0.987822i | ||||
\(850\) | 0.970557 | − | 0.426778i | 0.0332898 | − | 0.0146384i | ||||
\(851\) | 26.0903 | − | 12.5644i | 0.894365 | − | 0.430703i | ||||
\(852\) | 2.89496 | − | 55.8540i | 0.0991797 | − | 1.91353i | ||||
\(853\) | −13.5661 | + | 18.7174i | −0.464495 | + | 0.640872i | −0.975836 | − | 0.218506i | \(-0.929882\pi\) |
0.511340 | + | 0.859378i | \(0.329149\pi\) | |||||||
\(854\) | 1.99530 | + | 1.89456i | 0.0682779 | + | 0.0648306i | ||||
\(855\) | 4.65930 | − | 9.81927i | 0.159345 | − | 0.335812i | ||||
\(856\) | 6.04064 | − | 1.26945i | 0.206465 | − | 0.0433890i | ||||
\(857\) | 12.0595 | − | 10.6838i | 0.411944 | − | 0.364951i | −0.431550 | − | 0.902089i | \(-0.642033\pi\) |
0.843494 | + | 0.537138i | \(0.180495\pi\) | |||||||
\(858\) | 0.481218 | − | 0.192067i | 0.0164285 | − | 0.00655705i | ||||
\(859\) | 19.6830 | − | 45.4704i | 0.671576 | − | 1.55143i | −0.154574 | − | 0.987981i | \(-0.549401\pi\) |
0.826150 | − | 0.563450i | \(-0.190526\pi\) | |||||||
\(860\) | −9.63084 | − | 6.72983i | −0.328409 | − | 0.229485i | ||||
\(861\) | 5.59892 | + | 6.85743i | 0.190811 | + | 0.233701i | ||||
\(862\) | 14.1256 | + | 8.70658i | 0.481121 | + | 0.296547i | ||||
\(863\) | 6.78644 | + | 5.09968i | 0.231013 | + | 0.173595i | 0.709945 | − | 0.704257i | \(-0.248720\pi\) |
−0.478932 | + | 0.877852i | \(0.658976\pi\) | |||||||
\(864\) | 10.9316 | − | 12.1971i | 0.371901 | − | 0.414955i | ||||
\(865\) | 1.52308 | + | 15.5213i | 0.0517863 | + | 0.527741i | ||||
\(866\) | −1.73834 | − | 6.88208i | −0.0590713 | − | 0.233863i | ||||
\(867\) | −15.8212 | + | 25.3408i | −0.537314 | + | 0.860617i | ||||
\(868\) | −0.831373 | − | 48.1587i | −0.0282187 | − | 1.63461i | ||||
\(869\) | 0.961699 | + | 6.63945i | 0.0326234 | + | 0.225228i | ||||
\(870\) | 2.81829 | + | 8.28285i | 0.0955491 | + | 0.280815i | ||||
\(871\) | 0.848624 | + | 1.11589i | 0.0287545 | + | 0.0378104i | ||||
\(872\) | 7.52926 | + | 15.8676i | 0.254973 | + | 0.537344i | ||||
\(873\) | −0.0108583 | + | 0.0331587i | −0.000367499 | + | 0.00112225i | ||||
\(874\) | −6.40019 | + | 1.65586i | −0.216490 | + | 0.0560102i | ||||
\(875\) | 17.2658 | + | 32.4423i | 0.583692 | + | 1.09675i | ||||
\(876\) | 1.98710 | + | 3.95035i | 0.0671380 | + | 0.133470i | ||||
\(877\) | 2.14923 | + | 53.3325i | 0.0725743 | + | 1.80091i | 0.469367 | + | 0.883003i | \(0.344482\pi\) |
−0.396793 | + | 0.917908i | \(0.629877\pi\) | |||||||
\(878\) | −4.57023 | + | 5.34171i | −0.154238 | + | 0.180274i | ||||
\(879\) | 39.4163 | + | 26.2143i | 1.32948 | + | 0.884185i | ||||
\(880\) | 4.78210 | − | 1.12047i | 0.161205 | − | 0.0377710i | ||||
\(881\) | −0.287890 | + | 10.0041i | −0.00969926 | + | 0.337048i | 0.980428 | + | 0.196877i | \(0.0630801\pi\) |
−0.990127 | + | 0.140171i | \(0.955235\pi\) | |||||||
\(882\) | −1.01617 | + | 0.326298i | −0.0342161 | + | 0.0109870i | ||||
\(883\) | −18.1737 | + | 2.10065i | −0.611594 | + | 0.0706925i | −0.415044 | − | 0.909801i | \(-0.636234\pi\) |
−0.196550 | + | 0.980494i | \(0.562974\pi\) | |||||||
\(884\) | 0.637547 | − | 1.80533i | 0.0214430 | − | 0.0607198i | ||||
\(885\) | 3.32053 | + | 1.06625i | 0.111618 | + | 0.0358414i | ||||
\(886\) | −12.4404 | − | 2.46525i | −0.417944 | − | 0.0828218i | ||||
\(887\) | 30.2243 | + | 24.3889i | 1.01483 | + | 0.818898i | 0.983554 | − | 0.180613i | \(-0.0578082\pi\) |
0.0312769 | + | 0.999511i | \(0.490043\pi\) | |||||||
\(888\) | −12.0529 | − | 26.9876i | −0.404469 | − | 0.905645i | ||||
\(889\) | 53.4014 | − | 1.84431i | 1.79103 | − | 0.0618562i | ||||
\(890\) | 8.34505 | + | 3.66952i | 0.279727 | + | 0.123003i | ||||
\(891\) | 1.32153 | − | 9.92767i | 0.0442730 | − | 0.332589i | ||||
\(892\) | −6.34370 | − | 8.75252i | −0.212403 | − | 0.293056i | ||||
\(893\) | 35.6702 | − | 23.1353i | 1.19366 | − | 0.774194i | ||||
\(894\) | −6.71091 | − | 10.7489i | −0.224446 | − | 0.359496i | ||||
\(895\) | −15.7060 | + | 16.3517i | −0.524993 | + | 0.546576i | ||||
\(896\) | 9.62081 | + | 30.5644i | 0.321409 | + | 1.02108i | ||||
\(897\) | 2.52066 | − | 3.65181i | 0.0841625 | − | 0.121930i | ||||
\(898\) | −12.1991 | + | 11.3191i | −0.407090 | + | 0.377724i | ||||
\(899\) | −31.5397 | − | 36.8638i | −1.05191 | − | 1.22948i | ||||
\(900\) | 0.430493 | + | 3.54543i | 0.0143498 | + | 0.118181i | ||||
\(901\) | −0.906726 | − | 5.38349i | −0.0302074 | − | 0.179350i | ||||
\(902\) | −0.155293 | + | 0.513928i | −0.00517070 | + | 0.0171119i | ||||
\(903\) | −1.37245 | − | 21.6554i | −0.0456723 | − | 0.720647i | ||||
\(904\) | −0.0547473 | + | 9.51482i | −0.00182087 | + | 0.316458i | ||||
\(905\) | −28.9339 | − | 8.56156i | −0.961796 | − | 0.284596i | ||||
\(906\) | 12.8809 | − | 0.741964i | 0.427939 | − | 0.0246501i | ||||
\(907\) | 2.71459 | − | 1.85078i | 0.0901366 | − | 0.0614541i | −0.517413 | − | 0.855736i | \(-0.673105\pi\) |
0.607550 | + | 0.794282i | \(0.292153\pi\) | |||||||
\(908\) | −4.38672 | + | 6.67898i | −0.145578 | + | 0.221650i | ||||
\(909\) | −2.01049 | − | 10.4609i | −0.0666837 | − | 0.346965i | ||||
\(910\) | −1.50791 | − | 0.408696i | −0.0499866 | − | 0.0135481i | ||||
\(911\) | 7.52371 | + | 34.8050i | 0.249272 | + | 1.15314i | 0.913891 | + | 0.405959i | \(0.133062\pi\) |
−0.664620 | + | 0.747182i | \(0.731406\pi\) | |||||||
\(912\) | −6.67933 | − | 29.2641i | −0.221175 | − | 0.969030i | ||||
\(913\) | 3.12032 | + | 15.2844i | 0.103268 | + | 0.505838i | ||||
\(914\) | −0.119919 | + | 0.0837971i | −0.00396658 | + | 0.00277176i | ||||
\(915\) | −7.89104 | − | 2.23654i | −0.260870 | − | 0.0739376i | ||||
\(916\) | −1.62291 | − | 21.6563i | −0.0536225 | − | 0.715543i | ||||
\(917\) | 4.22642 | + | 23.4430i | 0.139569 | + | 0.774156i | ||||
\(918\) | 1.58256 | + | 1.80718i | 0.0522322 | + | 0.0596459i | ||||
\(919\) | −7.55907 | + | 11.2253i | −0.249351 | + | 0.370290i | −0.933215 | − | 0.359320i | \(-0.883009\pi\) |
0.683864 | + | 0.729610i | \(0.260298\pi\) | |||||||
\(920\) | −6.47121 | + | 6.89432i | −0.213349 | + | 0.227299i | ||||
\(921\) | −35.9721 | + | 23.9237i | −1.18532 | + | 0.788311i | ||||
\(922\) | −1.49407 | + | 12.3047i | −0.0492044 | + | 0.405235i | ||||
\(923\) | 10.0487 | − | 0.462877i | 0.330758 | − | 0.0152358i | ||||
\(924\) | 7.96180 | + | 6.27472i | 0.261924 | + | 0.206423i | ||||
\(925\) | −13.9850 | − | 4.31380i | −0.459824 | − | 0.141837i | ||||
\(926\) | 7.23768 | − | 0.921102i | 0.237845 | − | 0.0302693i | ||||
\(927\) | 0.0691173 | − | 4.00373i | 0.00227011 | − | 0.131500i | ||||
\(928\) | 20.7140 | + | 13.4349i | 0.679971 | + | 0.441022i | ||||
\(929\) | −0.931056 | − | 17.9634i | −0.0305470 | − | 0.589359i | −0.969467 | − | 0.245223i | \(-0.921139\pi\) |
0.938920 | − | 0.344136i | \(-0.111828\pi\) | |||||||
\(930\) | −6.61317 | − | 12.0885i | −0.216854 | − | 0.396399i | ||||
\(931\) | 3.12364 | − | 9.92351i | 0.102373 | − | 0.325230i | ||||
\(932\) | −10.4139 | − | 13.3714i | −0.341119 | − | 0.437996i | ||||
\(933\) | 6.12988 | + | 39.1397i | 0.200683 | + | 1.28138i | ||||
\(934\) | −3.81545 | + | 6.27070i | −0.124845 | + | 0.205184i | ||||
\(935\) | 0.280354 | + | 2.55423i | 0.00916854 | + | 0.0835323i | ||||
\(936\) | −1.04602 | − | 0.767357i | −0.0341901 | − | 0.0250818i | ||||
\(937\) | 4.27254 | + | 5.11169i | 0.139578 | + | 0.166992i | 0.832508 | − | 0.554013i | \(-0.186904\pi\) |
−0.692930 | + | 0.721004i | \(0.743681\pi\) | |||||||
\(938\) | 1.01783 | − | 2.42756i | 0.0332332 | − | 0.0792628i | ||||
\(939\) | 12.2385 | − | 11.0963i | 0.399388 | − | 0.362115i | ||||
\(940\) | 12.1352 | − | 26.3532i | 0.395807 | − | 0.859547i | ||||
\(941\) | −30.3140 | + | 42.8541i | −0.988209 | + | 1.39700i | −0.0715038 | + | 0.997440i | \(0.522780\pi\) |
−0.916705 | + | 0.399564i | \(0.869162\pi\) | |||||||
\(942\) | 0.202007 | − | 0.100161i | 0.00658173 | − | 0.00326342i | ||||
\(943\) | 1.32993 | + | 4.40128i | 0.0433085 | + | 0.143325i | ||||
\(944\) | 2.58522 | − | 0.963468i | 0.0841419 | − | 0.0313582i | ||||
\(945\) | −14.3172 | + | 14.5665i | −0.465740 | + | 0.473850i | ||||
\(946\) | 1.04284 | − | 0.802585i | 0.0339056 | − | 0.0260943i | ||||
\(947\) | 19.4407 | + | 31.9508i | 0.631737 | + | 1.03826i | 0.994332 | + | 0.106315i | \(0.0339052\pi\) |
−0.362596 | + | 0.931947i | \(0.618109\pi\) | |||||||
\(948\) | 21.3634 | − | 18.0661i | 0.693851 | − | 0.586760i | ||||
\(949\) | −0.672211 | + | 0.425080i | −0.0218209 | + | 0.0137987i | ||||
\(950\) | 2.94034 | + | 1.58663i | 0.0953974 | + | 0.0514772i | ||||
\(951\) | 1.32973 | + | 1.87980i | 0.0431195 | + | 0.0609568i | ||||
\(952\) | −7.40753 | + | 1.37952i | −0.240080 | + | 0.0447105i | ||||
\(953\) | 3.83638 | − | 26.4859i | 0.124273 | − | 0.857963i | −0.829730 | − | 0.558165i | \(-0.811506\pi\) |
0.954003 | − | 0.299798i | \(-0.0969193\pi\) | |||||||
\(954\) | −1.75076 | − | 0.222810i | −0.0566830 | − | 0.00721375i | ||||
\(955\) | 11.2353 | + | 5.09550i | 0.363564 | + | 0.164887i | ||||
\(956\) | −11.8680 | + | 23.5935i | −0.383838 | + | 0.763067i | ||||
\(957\) | 10.2079 | − | 0.234980i | 0.329976 | − | 0.00759584i | ||||
\(958\) | 2.16576 | − | 10.6086i | 0.0699724 | − | 0.342748i | ||||
\(959\) | −3.76758 | − | 8.70362i | −0.121662 | − | 0.281055i | ||||
\(960\) | −10.9469 | − | 10.8841i | −0.353311 | − | 0.351284i | ||||
\(961\) | 35.0065 | + | 28.9192i | 1.12924 | + | 0.932876i | ||||
\(962\) | 2.20379 | − | 1.25551i | 0.0710532 | − | 0.0404793i | ||||
\(963\) | −4.54475 | − | 0.955089i | −0.146452 | − | 0.0307773i | ||||
\(964\) | 13.2240 | − | 17.3887i | 0.425917 | − | 0.560053i | ||||
\(965\) | −15.8317 | − | 5.28539i | −0.509640 | − | 0.170143i | ||||
\(966\) | −8.30465 | − | 0.670421i | −0.267198 | − | 0.0215704i | ||||
\(967\) | −18.2184 | + | 49.7575i | −0.585864 | + | 1.60009i | 0.198709 | + | 0.980058i | \(0.436325\pi\) |
−0.784574 | + | 0.620035i | \(0.787118\pi\) | |||||||
\(968\) | 1.21950 | − | 16.2732i | 0.0391964 | − | 0.523039i | ||||
\(969\) | 15.6194 | − | 1.62350i | 0.501768 | − | 0.0521543i | ||||
\(970\) | 0.0207809 | + | 0.00801824i | 0.000667236 | + | 0.000257450i | ||||
\(971\) | −39.7144 | + | 12.2503i | −1.27450 | + | 0.393130i | −0.856891 | − | 0.515498i | \(-0.827607\pi\) |
−0.417606 | + | 0.908628i | \(0.637131\pi\) | |||||||
\(972\) | −19.6807 | + | 8.92575i | −0.631259 | + | 0.286294i | ||||
\(973\) | 2.11544 | − | 52.4940i | 0.0678178 | − | 1.68288i | ||||
\(974\) | 2.65104 | + | 2.45981i | 0.0849448 | + | 0.0788172i | ||||
\(975\) | −2.18918 | + | 0.486430i | −0.0701098 | + | 0.0155782i | ||||
\(976\) | −5.99804 | + | 2.47437i | −0.191993 | + | 0.0792026i | ||||
\(977\) | 35.9945 | + | 24.5407i | 1.15157 | + | 0.785125i | 0.979794 | − | 0.200011i | \(-0.0640978\pi\) |
0.171774 | + | 0.985136i | \(0.445050\pi\) | |||||||
\(978\) | 10.3043 | + | 6.18873i | 0.329494 | + | 0.197894i | ||||
\(979\) | 7.00900 | − | 8.00384i | 0.224009 | − | 0.255804i | ||||
\(980\) | −1.81772 | − | 6.86275i | −0.0580650 | − | 0.219222i | ||||
\(981\) | −0.380102 | − | 13.2085i | −0.0121357 | − | 0.421715i | ||||
\(982\) | −0.973805 | − | 2.75750i | −0.0310754 | − | 0.0879954i | ||||
\(983\) | −1.63543 | − | 3.34662i | −0.0521623 | − | 0.106741i | 0.870790 | − | 0.491656i | \(-0.163608\pi\) |
−0.922952 | + | 0.384915i | \(0.874231\pi\) | |||||||
\(984\) | 4.52947 | − | 1.22764i | 0.144394 | − | 0.0391359i | ||||
\(985\) | −0.200308 | − | 0.387051i | −0.00638234 | − | 0.0123325i | ||||
\(986\) | −2.32221 | + | 2.77830i | −0.0739541 | + | 0.0884791i | ||||
\(987\) | 52.0253 | − | 12.8231i | 1.65598 | − | 0.408163i | ||||
\(988\) | 5.72289 | − | 1.91058i | 0.182070 | − | 0.0607837i | ||||
\(989\) | 3.63016 | − | 10.6689i | 0.115432 | − | 0.339251i | ||||
\(990\) | 0.816648 | + | 0.152086i | 0.0259548 | + | 0.00483361i | ||||
\(991\) | 19.8833 | + | 43.1791i | 0.631613 | + | 1.37163i | 0.911381 | + | 0.411563i | \(0.135017\pi\) |
−0.279769 | + | 0.960067i | \(0.590258\pi\) | |||||||
\(992\) | −35.7722 | − | 15.2411i | −1.13577 | − | 0.483906i | ||||
\(993\) | −19.0338 | − | 25.6352i | −0.604020 | − | 0.813510i | ||||
\(994\) | −10.1867 | − | 15.9056i | −0.323102 | − | 0.504496i | ||||
\(995\) | −13.1651 | − | 40.2030i | −0.417362 | − | 1.27452i | ||||
\(996\) | 47.1777 | − | 44.7957i | 1.49488 | − | 1.41941i | ||||
\(997\) | 7.35130 | + | 55.2247i | 0.232818 | + | 1.74898i | 0.583156 | + | 0.812361i | \(0.301818\pi\) |
−0.350337 | + | 0.936624i | \(0.613933\pi\) | |||||||
\(998\) | 3.97994 | − | 13.7403i | 0.125983 | − | 0.434943i | ||||
\(999\) | −0.190787 | − | 33.1580i | −0.00603625 | − | 1.04907i |
(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 | 547.2.o.a.4.20 | ✓ | 6480 | |
547.137 | even | 273 | inner | 547.2.o.a.137.20 | yes | 6480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
547.2.o.a.4.20 | ✓ | 6480 | 1.1 | even | 1 | trivial | |
547.2.o.a.137.20 | yes | 6480 | 547.137 | even | 273 | inner |