Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(11,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 15, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bf (of order \(24\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 59.16 | ||
Character | \(\chi\) | \(=\) | 288.59 |
Dual form | 288.2.bf.a.83.16 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.846109 | + | 1.13318i | −0.598289 | + | 0.801280i | ||||
\(3\) | −0.272322 | + | 1.71051i | −0.157225 | + | 0.987563i | ||||
\(4\) | −0.568200 | − | 1.91759i | −0.284100 | − | 0.958795i | ||||
\(5\) | 2.31877 | + | 3.02188i | 1.03698 | + | 1.35142i | 0.934212 | + | 0.356719i | \(0.116105\pi\) |
0.102772 | + | 0.994705i | \(0.467229\pi\) | |||||||
\(6\) | −1.70790 | − | 1.75587i | −0.697249 | − | 0.716829i | ||||
\(7\) | 2.61808 | + | 0.701513i | 0.989542 | + | 0.265147i | 0.717058 | − | 0.697013i | \(-0.245488\pi\) |
0.272484 | + | 0.962160i | \(0.412155\pi\) | |||||||
\(8\) | 2.65374 | + | 0.978615i | 0.938237 | + | 0.345993i | ||||
\(9\) | −2.85168 | − | 0.931617i | −0.950561 | − | 0.310539i | ||||
\(10\) | −5.38626 | + | 0.0707484i | −1.70329 | + | 0.0223726i | ||||
\(11\) | 5.80953 | − | 0.764839i | 1.75164 | − | 0.230608i | 0.814646 | − | 0.579958i | \(-0.196931\pi\) |
0.936992 | + | 0.349351i | \(0.113598\pi\) | |||||||
\(12\) | 3.43479 | − | 0.449711i | 0.991538 | − | 0.129820i | ||||
\(13\) | −0.0733781 | + | 0.557362i | −0.0203514 | + | 0.154584i | −0.998603 | − | 0.0528367i | \(-0.983174\pi\) |
0.978252 | + | 0.207421i | \(0.0665070\pi\) | |||||||
\(14\) | −3.01012 | + | 2.37321i | −0.804489 | + | 0.634266i | ||||
\(15\) | −5.80040 | + | 3.14335i | −1.49766 | + | 0.811609i | ||||
\(16\) | −3.35430 | + | 2.17915i | −0.838574 | + | 0.544787i | ||||
\(17\) | −2.35854 | −0.572029 | −0.286015 | − | 0.958225i | \(-0.592331\pi\) | ||||
−0.286015 | + | 0.958225i | \(0.592331\pi\) | |||||||
\(18\) | 3.46852 | − | 2.44322i | 0.817539 | − | 0.575873i | ||||
\(19\) | −2.45699 | − | 5.93170i | −0.563672 | − | 1.36083i | −0.906810 | − | 0.421540i | \(-0.861490\pi\) |
0.343137 | − | 0.939285i | \(-0.388510\pi\) | |||||||
\(20\) | 4.47719 | − | 6.16347i | 1.00113 | − | 1.37819i | ||||
\(21\) | −1.91290 | + | 4.28722i | −0.417430 | + | 0.935547i | ||||
\(22\) | −4.04879 | + | 7.23038i | −0.863205 | + | 1.54152i | ||||
\(23\) | −0.242019 | − | 0.903226i | −0.0504644 | − | 0.188336i | 0.936092 | − | 0.351754i | \(-0.114415\pi\) |
−0.986557 | + | 0.163418i | \(0.947748\pi\) | |||||||
\(24\) | −2.39660 | + | 4.27274i | −0.489204 | + | 0.872170i | ||||
\(25\) | −2.46096 | + | 9.18442i | −0.492192 | + | 1.83688i | ||||
\(26\) | −0.569507 | − | 0.554740i | −0.111689 | − | 0.108793i | ||||
\(27\) | 2.37011 | − | 4.62413i | 0.456129 | − | 0.889914i | ||||
\(28\) | −0.142382 | − | 5.41901i | −0.0269076 | − | 1.02410i | ||||
\(29\) | −4.46322 | − | 3.42475i | −0.828800 | − | 0.635960i | 0.104714 | − | 0.994502i | \(-0.466607\pi\) |
−0.933514 | + | 0.358542i | \(0.883274\pi\) | |||||||
\(30\) | 1.34578 | − | 9.23252i | 0.245705 | − | 1.68562i | ||||
\(31\) | −2.85421 | − | 1.64788i | −0.512632 | − | 0.295968i | 0.221283 | − | 0.975210i | \(-0.428976\pi\) |
−0.733915 | + | 0.679242i | \(0.762309\pi\) | |||||||
\(32\) | 0.368727 | − | 5.64482i | 0.0651824 | − | 0.997873i | ||||
\(33\) | −0.273796 | + | 10.1455i | −0.0476618 | + | 1.76611i | ||||
\(34\) | 1.99558 | − | 2.67265i | 0.342239 | − | 0.458356i | ||||
\(35\) | 3.95084 | + | 9.53817i | 0.667813 | + | 1.61224i | ||||
\(36\) | −0.166132 | + | 5.99770i | −0.0276887 | + | 0.999617i | ||||
\(37\) | −2.29423 | − | 0.950303i | −0.377170 | − | 0.156229i | 0.186041 | − | 0.982542i | \(-0.440434\pi\) |
−0.563211 | + | 0.826313i | \(0.690434\pi\) | |||||||
\(38\) | 8.80058 | + | 2.23465i | 1.42764 | + | 0.362508i | ||||
\(39\) | −0.933391 | − | 0.277296i | −0.149462 | − | 0.0444028i | ||||
\(40\) | 3.19614 | + | 10.2884i | 0.505354 | + | 1.62674i | ||||
\(41\) | −5.18522 | + | 1.38938i | −0.809795 | + | 0.216984i | −0.639880 | − | 0.768475i | \(-0.721016\pi\) |
−0.169915 | + | 0.985459i | \(0.554349\pi\) | |||||||
\(42\) | −3.23967 | − | 5.79512i | −0.499892 | − | 0.894206i | ||||
\(43\) | −0.592423 | − | 4.49990i | −0.0903436 | − | 0.686228i | −0.975352 | − | 0.220653i | \(-0.929181\pi\) |
0.885009 | − | 0.465575i | \(-0.154152\pi\) | |||||||
\(44\) | −4.76762 | − | 10.7057i | −0.718746 | − | 1.61395i | ||||
\(45\) | −3.79715 | − | 10.7776i | −0.566046 | − | 1.60663i | ||||
\(46\) | 1.22829 | + | 0.489976i | 0.181102 | + | 0.0722430i | ||||
\(47\) | 7.39233 | − | 4.26796i | 1.07828 | − | 0.622546i | 0.147849 | − | 0.989010i | \(-0.452765\pi\) |
0.930432 | + | 0.366464i | \(0.119432\pi\) | |||||||
\(48\) | −2.81401 | − | 6.33098i | −0.406167 | − | 0.913799i | ||||
\(49\) | 0.300058 | + | 0.173239i | 0.0428655 | + | 0.0247484i | ||||
\(50\) | −8.32538 | − | 10.5597i | −1.17739 | − | 1.49337i | ||||
\(51\) | 0.642280 | − | 4.03430i | 0.0899373 | − | 0.564915i | ||||
\(52\) | 1.11049 | − | 0.175984i | 0.153997 | − | 0.0244046i | ||||
\(53\) | 6.71219 | + | 2.78028i | 0.921990 | + | 0.381901i | 0.792634 | − | 0.609698i | \(-0.208709\pi\) |
0.129356 | + | 0.991598i | \(0.458709\pi\) | |||||||
\(54\) | 3.23460 | + | 6.59828i | 0.440174 | + | 0.897913i | ||||
\(55\) | 15.7822 | + | 15.7822i | 2.12807 | + | 2.12807i | ||||
\(56\) | 6.26119 | + | 4.42372i | 0.836687 | + | 0.591145i | ||||
\(57\) | 10.8153 | − | 2.58738i | 1.43252 | − | 0.342706i | ||||
\(58\) | 7.65724 | − | 2.15993i | 1.00544 | − | 0.283613i | ||||
\(59\) | −3.60526 | + | 2.76641i | −0.469365 | + | 0.360156i | −0.816200 | − | 0.577770i | \(-0.803923\pi\) |
0.346835 | + | 0.937926i | \(0.387256\pi\) | |||||||
\(60\) | 9.32344 | + | 9.33672i | 1.20365 | + | 1.20537i | ||||
\(61\) | 3.84408 | − | 5.00970i | 0.492184 | − | 0.641426i | −0.479547 | − | 0.877516i | \(-0.659199\pi\) |
0.971731 | + | 0.236089i | \(0.0758658\pi\) | |||||||
\(62\) | 4.28232 | − | 1.84005i | 0.543855 | − | 0.233687i | ||||
\(63\) | −6.81240 | − | 4.43954i | −0.858281 | − | 0.559330i | ||||
\(64\) | 6.08463 | + | 5.19397i | 0.760578 | + | 0.649246i | ||||
\(65\) | −1.85443 | + | 1.07065i | −0.230013 | + | 0.132798i | ||||
\(66\) | −11.2651 | − | 8.89448i | −1.38663 | − | 1.09483i | ||||
\(67\) | −0.452833 | + | 3.43961i | −0.0553223 | + | 0.420215i | 0.941265 | + | 0.337669i | \(0.109638\pi\) |
−0.996587 | + | 0.0825459i | \(0.973695\pi\) | |||||||
\(68\) | 1.34012 | + | 4.52270i | 0.162514 | + | 0.548458i | ||||
\(69\) | 1.61088 | − | 0.168007i | 0.193927 | − | 0.0202257i | ||||
\(70\) | −14.1513 | − | 3.59331i | −1.69141 | − | 0.429482i | ||||
\(71\) | 5.11139 | + | 5.11139i | 0.606610 | + | 0.606610i | 0.942059 | − | 0.335448i | \(-0.108888\pi\) |
−0.335448 | + | 0.942059i | \(0.608888\pi\) | |||||||
\(72\) | −6.65592 | − | 5.26296i | −0.784407 | − | 0.620246i | ||||
\(73\) | −0.0880542 | + | 0.0880542i | −0.0103060 | + | 0.0103060i | −0.712241 | − | 0.701935i | \(-0.752320\pi\) |
0.701935 | + | 0.712241i | \(0.252320\pi\) | |||||||
\(74\) | 3.01804 | − | 1.79572i | 0.350840 | − | 0.208749i | ||||
\(75\) | −15.0399 | − | 6.71061i | −1.73665 | − | 0.774874i | ||||
\(76\) | −9.97850 | + | 8.08189i | −1.14461 | + | 0.927057i | ||||
\(77\) | 15.7464 | + | 2.07305i | 1.79446 | + | 0.236246i | ||||
\(78\) | 1.10398 | − | 0.823079i | 0.125001 | − | 0.0931953i | ||||
\(79\) | −3.12868 | − | 5.41904i | −0.352004 | − | 0.609689i | 0.634596 | − | 0.772844i | \(-0.281166\pi\) |
−0.986601 | + | 0.163155i | \(0.947833\pi\) | |||||||
\(80\) | −14.3630 | − | 5.08333i | −1.60583 | − | 0.568333i | ||||
\(81\) | 7.26418 | + | 5.31335i | 0.807131 | + | 0.590372i | ||||
\(82\) | 2.81284 | − | 7.05136i | 0.310627 | − | 0.778692i | ||||
\(83\) | 4.62117 | + | 3.54595i | 0.507240 | + | 0.389219i | 0.830437 | − | 0.557113i | \(-0.188091\pi\) |
−0.323197 | + | 0.946332i | \(0.604758\pi\) | |||||||
\(84\) | 9.30803 | + | 1.23217i | 1.01559 | + | 0.134441i | ||||
\(85\) | −5.46890 | − | 7.12720i | −0.593185 | − | 0.773054i | ||||
\(86\) | 5.60045 | + | 3.13608i | 0.603912 | + | 0.338172i | ||||
\(87\) | 7.07350 | − | 6.70175i | 0.758359 | − | 0.718503i | ||||
\(88\) | 16.1654 | + | 3.65561i | 1.72324 | + | 0.389689i | ||||
\(89\) | −5.51808 | + | 5.51808i | −0.584915 | + | 0.584915i | −0.936250 | − | 0.351335i | \(-0.885728\pi\) |
0.351335 | + | 0.936250i | \(0.385728\pi\) | |||||||
\(90\) | 15.4258 | + | 4.81618i | 1.62602 | + | 0.507670i | ||||
\(91\) | −0.583107 | + | 1.40774i | −0.0611262 | + | 0.147572i | ||||
\(92\) | −1.59450 | + | 0.977306i | −0.166238 | + | 0.101891i | ||||
\(93\) | 3.59598 | − | 4.43340i | 0.372885 | − | 0.459722i | ||||
\(94\) | −1.41834 | + | 11.9880i | −0.146290 | + | 1.23647i | ||||
\(95\) | 12.2277 | − | 21.1790i | 1.25453 | − | 2.17291i | ||||
\(96\) | 9.55511 | + | 2.16792i | 0.975214 | + | 0.221262i | ||||
\(97\) | −5.11130 | − | 8.85304i | −0.518974 | − | 0.898890i | −0.999757 | − | 0.0220500i | \(-0.992981\pi\) |
0.480783 | − | 0.876840i | \(-0.340353\pi\) | |||||||
\(98\) | −0.450193 | + | 0.193442i | −0.0454763 | + | 0.0195406i | ||||
\(99\) | −17.2795 | − | 3.23118i | −1.73665 | − | 0.324746i | ||||
\(100\) | 19.0103 | − | 0.499485i | 1.90103 | − | 0.0499485i | ||||
\(101\) | −1.72845 | + | 0.227555i | −0.171987 | + | 0.0226425i | −0.216028 | − | 0.976387i | \(-0.569310\pi\) |
0.0440407 | + | 0.999030i | \(0.485977\pi\) | |||||||
\(102\) | 4.02815 | + | 4.14127i | 0.398847 | + | 0.410047i | ||||
\(103\) | −4.41735 | − | 16.4858i | −0.435255 | − | 1.62439i | −0.740456 | − | 0.672105i | \(-0.765390\pi\) |
0.305201 | − | 0.952288i | \(-0.401276\pi\) | |||||||
\(104\) | −0.740169 | + | 1.40728i | −0.0725795 | + | 0.137995i | ||||
\(105\) | −17.3910 | + | 4.16049i | −1.69719 | + | 0.406023i | ||||
\(106\) | −8.82980 | + | 5.25371i | −0.857626 | + | 0.510285i | ||||
\(107\) | −0.0250832 | + | 0.0605561i | −0.00242488 | + | 0.00585418i | −0.925087 | − | 0.379754i | \(-0.876008\pi\) |
0.922662 | + | 0.385609i | \(0.126008\pi\) | |||||||
\(108\) | −10.2139 | − | 1.91747i | −0.982831 | − | 0.184509i | ||||
\(109\) | 1.26383 | − | 0.523494i | 0.121053 | − | 0.0501417i | −0.321335 | − | 0.946966i | \(-0.604132\pi\) |
0.442388 | + | 0.896824i | \(0.354132\pi\) | |||||||
\(110\) | −31.2375 | + | 4.53064i | −2.97838 | + | 0.431979i | ||||
\(111\) | 2.25027 | − | 3.66552i | 0.213586 | − | 0.347916i | ||||
\(112\) | −10.3105 | + | 3.35211i | −0.974253 | + | 0.316745i | ||||
\(113\) | −9.29810 | + | 16.1048i | −0.874692 | + | 1.51501i | −0.0176016 | + | 0.999845i | \(0.505603\pi\) |
−0.857090 | + | 0.515166i | \(0.827730\pi\) | |||||||
\(114\) | −6.21897 | + | 14.4449i | −0.582460 | + | 1.35289i | ||||
\(115\) | 2.16825 | − | 2.82572i | 0.202190 | − | 0.263500i | ||||
\(116\) | −4.03126 | + | 10.5046i | −0.374293 | + | 0.975325i | ||||
\(117\) | 0.728499 | − | 1.52106i | 0.0673498 | − | 0.140622i | ||||
\(118\) | −0.0844067 | − | 6.42610i | −0.00777026 | − | 0.591571i | ||||
\(119\) | −6.17484 | − | 1.65454i | −0.566047 | − | 0.151672i | ||||
\(120\) | −18.4688 | + | 2.66527i | −1.68597 | + | 0.243304i | ||||
\(121\) | 22.5404 | − | 6.03969i | 2.04913 | − | 0.549063i | ||||
\(122\) | 2.42439 | + | 8.59479i | 0.219494 | + | 0.778136i | ||||
\(123\) | −0.964492 | − | 9.24772i | −0.0869653 | − | 0.833839i | ||||
\(124\) | −1.53819 | + | 6.40953i | −0.138134 | + | 0.575593i | ||||
\(125\) | −15.8653 | + | 6.57163i | −1.41904 | + | 0.587785i | ||||
\(126\) | 10.7948 | − | 3.96335i | 0.961680 | − | 0.353083i | ||||
\(127\) | 10.6811i | 0.947793i | 0.880581 | + | 0.473896i | \(0.157153\pi\) | ||||
−0.880581 | + | 0.473896i | \(0.842847\pi\) | |||||||
\(128\) | −11.0340 | + | 2.50032i | −0.975274 | + | 0.221000i | ||||
\(129\) | 7.85844 | + | 0.212075i | 0.691897 | + | 0.0186721i | ||||
\(130\) | 0.355801 | − | 3.00729i | 0.0312058 | − | 0.263757i | ||||
\(131\) | −19.0584 | − | 2.50909i | −1.66514 | − | 0.219220i | −0.761699 | − | 0.647931i | \(-0.775634\pi\) |
−0.903442 | + | 0.428711i | \(0.858968\pi\) | |||||||
\(132\) | 19.6105 | − | 5.23967i | 1.70688 | − | 0.456054i | ||||
\(133\) | −2.27144 | − | 17.2533i | −0.196959 | − | 1.49605i | ||||
\(134\) | −3.51455 | − | 3.42342i | −0.303611 | − | 0.295739i | ||||
\(135\) | 19.4693 | − | 3.56008i | 1.67565 | − | 0.306403i | ||||
\(136\) | −6.25893 | − | 2.30810i | −0.536699 | − | 0.197918i | ||||
\(137\) | −4.69973 | + | 17.5396i | −0.401525 | + | 1.49851i | 0.408851 | + | 0.912601i | \(0.365929\pi\) |
−0.810376 | + | 0.585910i | \(0.800737\pi\) | |||||||
\(138\) | −1.17260 | + | 1.96757i | −0.0998183 | + | 0.167491i | ||||
\(139\) | −5.59014 | + | 4.28946i | −0.474149 | + | 0.363828i | −0.818020 | − | 0.575189i | \(-0.804928\pi\) |
0.343871 | + | 0.939017i | \(0.388262\pi\) | |||||||
\(140\) | 16.0454 | − | 12.9957i | 1.35609 | − | 1.09833i | ||||
\(141\) | 5.28730 | + | 13.8069i | 0.445271 | + | 1.16275i | ||||
\(142\) | −10.1169 | + | 1.46734i | −0.848993 | + | 0.123137i | ||||
\(143\) | 3.29413i | 0.275469i | ||||||||
\(144\) | 11.5955 | − | 3.08932i | 0.966293 | − | 0.257444i | ||||
\(145\) | − | 21.4285i | − | 1.77954i | ||||||
\(146\) | −0.0252780 | − | 0.174285i | −0.00209202 | − | 0.0144239i | ||||
\(147\) | −0.378039 | + | 0.466076i | −0.0311801 | + | 0.0384413i | ||||
\(148\) | −0.518706 | + | 4.93936i | −0.0426374 | + | 0.406013i | ||||
\(149\) | −1.95703 | + | 1.50168i | −0.160326 | + | 0.123023i | −0.685809 | − | 0.727782i | \(-0.740551\pi\) |
0.525483 | + | 0.850804i | \(0.323885\pi\) | |||||||
\(150\) | 20.3297 | − | 11.3650i | 1.65991 | − | 0.927948i | ||||
\(151\) | −4.03131 | + | 15.0451i | −0.328063 | + | 1.22435i | 0.583133 | + | 0.812377i | \(0.301827\pi\) |
−0.911196 | + | 0.411973i | \(0.864840\pi\) | |||||||
\(152\) | −0.715356 | − | 18.1456i | −0.0580230 | − | 1.47180i | ||||
\(153\) | 6.72580 | + | 2.19725i | 0.543748 | + | 0.177637i | ||||
\(154\) | −15.6723 | + | 16.0895i | −1.26291 | + | 1.29653i | ||||
\(155\) | −1.63856 | − | 12.4461i | −0.131613 | − | 0.999697i | ||||
\(156\) | −0.00138636 | + | 1.94742i | −0.000110998 | + | 0.155918i | ||||
\(157\) | 6.37100 | + | 0.838758i | 0.508461 | + | 0.0669402i | 0.380393 | − | 0.924825i | \(-0.375789\pi\) |
0.128069 | + | 0.991765i | \(0.459122\pi\) | |||||||
\(158\) | 8.78795 | + | 1.03973i | 0.699132 | + | 0.0827164i | ||||
\(159\) | −6.58356 | + | 10.7241i | −0.522111 | + | 0.850478i | ||||
\(160\) | 17.9129 | − | 11.9748i | 1.41614 | − | 0.946690i | ||||
\(161\) | − | 2.53450i | − | 0.199747i | ||||||
\(162\) | −12.1673 | + | 3.73596i | −0.955951 | + | 0.293525i | ||||
\(163\) | 8.26400 | − | 3.42306i | 0.647287 | − | 0.268115i | −0.0347911 | − | 0.999395i | \(-0.511077\pi\) |
0.682078 | + | 0.731280i | \(0.261077\pi\) | |||||||
\(164\) | 5.61049 | + | 9.15368i | 0.438106 | + | 0.714782i | ||||
\(165\) | −31.2934 | + | 22.6977i | −2.43619 | + | 1.76702i | ||||
\(166\) | −7.92822 | + | 2.23637i | −0.615349 | + | 0.173576i | ||||
\(167\) | −7.94384 | + | 2.12855i | −0.614713 | + | 0.164712i | −0.552723 | − | 0.833365i | \(-0.686411\pi\) |
−0.0619898 | + | 0.998077i | \(0.519745\pi\) | |||||||
\(168\) | −9.27188 | + | 9.50514i | −0.715341 | + | 0.733338i | ||||
\(169\) | 12.2518 | + | 3.28285i | 0.942444 | + | 0.252527i | ||||
\(170\) | 12.7037 | − | 0.166863i | 0.974329 | − | 0.0127978i | ||||
\(171\) | 1.48048 | + | 19.2043i | 0.113215 | + | 1.46859i | ||||
\(172\) | −8.29234 | + | 3.69287i | −0.632285 | + | 0.281578i | ||||
\(173\) | 15.2329 | − | 19.8519i | 1.15814 | − | 1.50931i | 0.334315 | − | 0.942461i | \(-0.391495\pi\) |
0.823821 | − | 0.566850i | \(-0.191838\pi\) | |||||||
\(174\) | 1.60935 | + | 13.6860i | 0.122004 | + | 1.03753i | ||||
\(175\) | −12.8860 | + | 22.3192i | −0.974089 | + | 1.68717i | ||||
\(176\) | −17.8202 | + | 15.2253i | −1.34325 | + | 1.14765i | ||||
\(177\) | −3.75019 | − | 6.92019i | −0.281881 | − | 0.520153i | ||||
\(178\) | −1.58409 | − | 10.9219i | −0.118733 | − | 0.818630i | ||||
\(179\) | 12.8536 | − | 5.32414i | 0.960723 | − | 0.397945i | 0.153472 | − | 0.988153i | \(-0.450954\pi\) |
0.807251 | + | 0.590208i | \(0.200954\pi\) | |||||||
\(180\) | −18.5095 | + | 13.4052i | −1.37962 | + | 0.999167i | ||||
\(181\) | 2.78768 | − | 6.73006i | 0.207207 | − | 0.500242i | −0.785774 | − | 0.618513i | \(-0.787735\pi\) |
0.992981 | + | 0.118272i | \(0.0377353\pi\) | |||||||
\(182\) | −1.10186 | − | 1.85187i | −0.0816752 | − | 0.137270i | ||||
\(183\) | 7.52231 | + | 7.93958i | 0.556065 | + | 0.586911i | ||||
\(184\) | 0.241657 | − | 2.63377i | 0.0178152 | − | 0.194164i | ||||
\(185\) | −2.44810 | − | 9.13642i | −0.179988 | − | 0.671723i | ||||
\(186\) | 1.98126 | + | 7.82603i | 0.145273 | + | 0.573833i | ||||
\(187\) | −13.7020 | + | 1.80390i | −1.00199 | + | 0.131914i | ||||
\(188\) | −12.3845 | − | 11.7504i | −0.903234 | − | 0.856985i | ||||
\(189\) | 9.44904 | − | 10.4437i | 0.687317 | − | 0.759666i | ||||
\(190\) | 13.6537 | + | 31.7759i | 0.990540 | + | 2.30526i | ||||
\(191\) | 8.61822 | + | 14.9272i | 0.623593 | + | 1.08009i | 0.988811 | + | 0.149172i | \(0.0476610\pi\) |
−0.365218 | + | 0.930922i | \(0.619006\pi\) | |||||||
\(192\) | −10.5413 | + | 8.99338i | −0.760753 | + | 0.649041i | ||||
\(193\) | −5.00987 | + | 8.67734i | −0.360618 | + | 0.624609i | −0.988063 | − | 0.154052i | \(-0.950768\pi\) |
0.627445 | + | 0.778661i | \(0.284101\pi\) | |||||||
\(194\) | 14.3568 | + | 1.69860i | 1.03076 | + | 0.121952i | ||||
\(195\) | −1.32636 | − | 3.46357i | −0.0949827 | − | 0.248032i | ||||
\(196\) | 0.161707 | − | 0.673823i | 0.0115505 | − | 0.0481302i | ||||
\(197\) | −1.09387 | + | 2.64083i | −0.0779349 | + | 0.188152i | −0.958045 | − | 0.286619i | \(-0.907469\pi\) |
0.880110 | + | 0.474770i | \(0.157469\pi\) | |||||||
\(198\) | 18.2818 | − | 16.8468i | 1.29923 | − | 1.19725i | ||||
\(199\) | 6.26521 | − | 6.26521i | 0.444129 | − | 0.444129i | −0.449268 | − | 0.893397i | \(-0.648315\pi\) |
0.893397 | + | 0.449268i | \(0.148315\pi\) | |||||||
\(200\) | −15.5187 | + | 21.9647i | −1.09734 | + | 1.55314i | ||||
\(201\) | −5.76016 | − | 1.71125i | −0.406291 | − | 0.120703i | ||||
\(202\) | 1.20459 | − | 2.15118i | 0.0847550 | − | 0.151357i | ||||
\(203\) | −9.28258 | − | 12.0973i | −0.651509 | − | 0.849063i | ||||
\(204\) | −8.10107 | + | 1.06066i | −0.567188 | + | 0.0742610i | ||||
\(205\) | −16.2218 | − | 12.4475i | −1.13298 | − | 0.869368i | ||||
\(206\) | 22.4190 | + | 8.94311i | 1.56200 | + | 0.623096i | ||||
\(207\) | −0.151300 | + | 2.80118i | −0.0105161 | + | 0.194696i | ||||
\(208\) | −0.968444 | − | 2.02946i | −0.0671495 | − | 0.140718i | ||||
\(209\) | −18.8108 | − | 32.5812i | −1.30117 | − | 2.25369i | ||||
\(210\) | 10.0001 | − | 23.2274i | 0.690072 | − | 1.60284i | ||||
\(211\) | 12.9872 | + | 1.70979i | 0.894074 | + | 0.117707i | 0.563542 | − | 0.826088i | \(-0.309438\pi\) |
0.330532 | + | 0.943795i | \(0.392772\pi\) | |||||||
\(212\) | 1.51757 | − | 14.4510i | 0.104227 | − | 0.992497i | ||||
\(213\) | −10.1350 | + | 7.35114i | −0.694440 | + | 0.503692i | ||||
\(214\) | −0.0473980 | − | 0.0796608i | −0.00324006 | − | 0.00544550i | ||||
\(215\) | 12.2244 | − | 12.2244i | 0.833700 | − | 0.833700i | ||||
\(216\) | 10.8149 | − | 9.95179i | 0.735860 | − | 0.677133i | ||||
\(217\) | −6.31655 | − | 6.31655i | −0.428796 | − | 0.428796i | ||||
\(218\) | −0.476121 | + | 1.87508i | −0.0322470 | + | 0.126996i | ||||
\(219\) | −0.126638 | − | 0.174597i | −0.00855744 | − | 0.0117981i | ||||
\(220\) | 21.2963 | − | 39.2312i | 1.43580 | − | 2.64497i | ||||
\(221\) | 0.173065 | − | 1.31456i | 0.0116416 | − | 0.0884268i | ||||
\(222\) | 2.24973 | + | 5.65139i | 0.150992 | + | 0.379297i | ||||
\(223\) | −1.79902 | + | 1.03866i | −0.120471 | + | 0.0695541i | −0.559025 | − | 0.829151i | \(-0.688824\pi\) |
0.438553 | + | 0.898705i | \(0.355491\pi\) | |||||||
\(224\) | 4.92528 | − | 14.5199i | 0.329084 | − | 0.970155i | ||||
\(225\) | 15.5742 | − | 23.8984i | 1.03828 | − | 1.59322i | ||||
\(226\) | −10.3824 | − | 24.1628i | −0.690630 | − | 1.60729i | ||||
\(227\) | −3.08185 | + | 4.01634i | −0.204549 | + | 0.266574i | −0.884351 | − | 0.466822i | \(-0.845399\pi\) |
0.679802 | + | 0.733396i | \(0.262066\pi\) | |||||||
\(228\) | −11.1068 | − | 19.2692i | −0.735565 | − | 1.27613i | ||||
\(229\) | 1.85911 | − | 1.42654i | 0.122853 | − | 0.0942686i | −0.545507 | − | 0.838106i | \(-0.683663\pi\) |
0.668361 | + | 0.743837i | \(0.266996\pi\) | |||||||
\(230\) | 1.36748 | + | 4.84789i | 0.0901688 | + | 0.319660i | ||||
\(231\) | −7.83404 | + | 26.3698i | −0.515442 | + | 1.73500i | ||||
\(232\) | −8.49270 | − | 13.4562i | −0.557573 | − | 0.883440i | ||||
\(233\) | 10.8262 | + | 10.8262i | 0.709248 | + | 0.709248i | 0.966377 | − | 0.257129i | \(-0.0827765\pi\) |
−0.257129 | + | 0.966377i | \(0.582777\pi\) | |||||||
\(234\) | 1.10725 | + | 2.11250i | 0.0723830 | + | 0.138099i | ||||
\(235\) | 30.0383 | + | 12.4423i | 1.95948 | + | 0.811645i | ||||
\(236\) | 7.35336 | + | 5.34153i | 0.478663 | + | 0.347704i | ||||
\(237\) | 10.1213 | − | 3.87592i | 0.657450 | − | 0.251768i | ||||
\(238\) | 7.09949 | − | 5.59729i | 0.460191 | − | 0.362819i | ||||
\(239\) | 1.96345 | + | 1.13360i | 0.127005 | + | 0.0733266i | 0.562157 | − | 0.827031i | \(-0.309972\pi\) |
−0.435151 | + | 0.900357i | \(0.643305\pi\) | |||||||
\(240\) | 12.6064 | − | 23.1837i | 0.813741 | − | 1.49650i | ||||
\(241\) | 4.12298 | − | 2.38041i | 0.265585 | − | 0.153335i | −0.361295 | − | 0.932452i | \(-0.617665\pi\) |
0.626879 | + | 0.779116i | \(0.284332\pi\) | |||||||
\(242\) | −12.2276 | + | 30.6526i | −0.786019 | + | 1.97043i | ||||
\(243\) | −11.0667 | + | 10.9785i | −0.709931 | + | 0.704271i | ||||
\(244\) | −11.7908 | − | 4.52485i | −0.754826 | − | 0.289674i | ||||
\(245\) | 0.172259 | + | 1.30844i | 0.0110052 | + | 0.0835931i | ||||
\(246\) | 11.2954 | + | 6.73163i | 0.720169 | + | 0.429193i | ||||
\(247\) | 3.48640 | − | 0.934177i | 0.221834 | − | 0.0594402i | ||||
\(248\) | −5.96168 | − | 7.16621i | −0.378567 | − | 0.455055i | ||||
\(249\) | −7.32383 | + | 6.93892i | −0.464129 | + | 0.439736i | ||||
\(250\) | 5.97693 | − | 23.5386i | 0.378014 | − | 1.48871i | ||||
\(251\) | 2.21168 | + | 0.916109i | 0.139600 | + | 0.0578243i | 0.451390 | − | 0.892327i | \(-0.350928\pi\) |
−0.311790 | + | 0.950151i | \(0.600928\pi\) | |||||||
\(252\) | −4.64241 | + | 15.5859i | −0.292445 | + | 0.981821i | ||||
\(253\) | −2.09684 | − | 5.06221i | −0.131827 | − | 0.318258i | ||||
\(254\) | −12.1036 | − | 9.03735i | −0.759447 | − | 0.567054i | ||||
\(255\) | 13.6804 | − | 7.41370i | 0.856703 | − | 0.464264i | ||||
\(256\) | 6.50261 | − | 14.6190i | 0.406413 | − | 0.913689i | ||||
\(257\) | −19.0117 | − | 10.9764i | −1.18592 | − | 0.684689i | −0.228541 | − | 0.973534i | \(-0.573395\pi\) |
−0.957376 | + | 0.288845i | \(0.906729\pi\) | |||||||
\(258\) | −6.88942 | + | 8.72560i | −0.428916 | + | 0.543232i | ||||
\(259\) | −5.33984 | − | 4.09741i | −0.331802 | − | 0.254600i | ||||
\(260\) | 3.10676 | + | 2.94768i | 0.192673 | + | 0.182807i | ||||
\(261\) | 9.53714 | + | 13.9243i | 0.590334 | + | 0.861894i | ||||
\(262\) | 18.9687 | − | 19.4737i | 1.17189 | − | 1.20309i | ||||
\(263\) | 3.80787 | − | 14.2112i | 0.234803 | − | 0.876298i | −0.743434 | − | 0.668809i | \(-0.766804\pi\) |
0.978237 | − | 0.207489i | \(-0.0665290\pi\) | |||||||
\(264\) | −10.6551 | + | 26.6556i | −0.655779 | + | 1.64054i | ||||
\(265\) | 7.16234 | + | 26.7302i | 0.439979 | + | 1.64202i | ||||
\(266\) | 21.4730 | + | 12.0242i | 1.31659 | + | 0.737252i | ||||
\(267\) | −7.93604 | − | 10.9414i | −0.485677 | − | 0.669604i | ||||
\(268\) | 6.85305 | − | 1.08604i | 0.418617 | − | 0.0663404i | ||||
\(269\) | 4.02058 | + | 9.70653i | 0.245139 | + | 0.591818i | 0.997779 | − | 0.0666147i | \(-0.0212198\pi\) |
−0.752640 | + | 0.658432i | \(0.771220\pi\) | |||||||
\(270\) | −12.4389 | + | 25.0744i | −0.757008 | + | 1.52598i | ||||
\(271\) | −13.8043 | −0.838554 | −0.419277 | − | 0.907858i | \(-0.637716\pi\) | ||||
−0.419277 | + | 0.907858i | \(0.637716\pi\) | |||||||
\(272\) | 7.91123 | − | 5.13960i | 0.479689 | − | 0.311634i | ||||
\(273\) | −2.24917 | − | 1.38077i | −0.136126 | − | 0.0835679i | ||||
\(274\) | −15.8991 | − | 20.1661i | −0.960499 | − | 1.21828i | ||||
\(275\) | −7.27240 | + | 55.2394i | −0.438542 | + | 3.33106i | ||||
\(276\) | −1.23747 | − | 2.99355i | −0.0744871 | − | 0.180191i | ||||
\(277\) | 15.1103 | − | 1.98931i | 0.907891 | − | 0.119526i | 0.337905 | − | 0.941180i | \(-0.390282\pi\) |
0.569986 | + | 0.821654i | \(0.306949\pi\) | |||||||
\(278\) | −0.130877 | − | 9.96399i | −0.00784947 | − | 0.597601i | ||||
\(279\) | 6.60411 | + | 7.35826i | 0.395378 | + | 0.440528i | ||||
\(280\) | 1.15029 | + | 29.1781i | 0.0687430 | + | 1.74373i | ||||
\(281\) | 7.70085 | + | 2.06344i | 0.459394 | + | 0.123094i | 0.481092 | − | 0.876670i | \(-0.340240\pi\) |
−0.0216976 | + | 0.999765i | \(0.506907\pi\) | |||||||
\(282\) | −20.1194 | − | 5.69067i | −1.19809 | − | 0.338875i | ||||
\(283\) | 12.1975 | + | 15.8961i | 0.725065 | + | 0.944923i | 0.999863 | − | 0.0165790i | \(-0.00527751\pi\) |
−0.274798 | + | 0.961502i | \(0.588611\pi\) | |||||||
\(284\) | 6.89725 | − | 12.7058i | 0.409277 | − | 0.753953i | ||||
\(285\) | 32.8969 | + | 26.6830i | 1.94865 | + | 1.58057i | ||||
\(286\) | −3.73285 | − | 2.78719i | −0.220728 | − | 0.164810i | ||||
\(287\) | −14.5500 | −0.858859 | ||||||||
\(288\) | −6.31031 | + | 15.7537i | −0.371838 | + | 0.928297i | ||||
\(289\) | −11.4373 | −0.672783 | ||||||||
\(290\) | 24.2824 | + | 18.1308i | 1.42591 | + | 1.06468i | ||||
\(291\) | 16.5351 | − | 6.33206i | 0.969306 | − | 0.371192i | ||||
\(292\) | 0.218884 | + | 0.118819i | 0.0128092 | + | 0.00695338i | ||||
\(293\) | −15.6947 | − | 20.4537i | −0.916894 | − | 1.19492i | −0.980416 | − | 0.196939i | \(-0.936900\pi\) |
0.0635218 | − | 0.997980i | \(-0.479767\pi\) | |||||||
\(294\) | −0.208286 | − | 0.822737i | −0.0121475 | − | 0.0479830i | ||||
\(295\) | −16.7195 | − | 4.47998i | −0.973448 | − | 0.260835i | ||||
\(296\) | −5.15831 | − | 4.76702i | −0.299821 | − | 0.277078i | ||||
\(297\) | 10.2325 | − | 28.6767i | 0.593751 | − | 1.66399i | ||||
\(298\) | −0.0458182 | − | 3.48826i | −0.00265418 | − | 0.202070i | ||||
\(299\) | 0.521183 | − | 0.0686150i | 0.0301408 | − | 0.00396811i | ||||
\(300\) | −4.32253 | + | 32.6532i | −0.249562 | + | 1.88524i | ||||
\(301\) | 1.60573 | − | 12.1967i | 0.0925525 | − | 0.703006i | ||||
\(302\) | −13.6379 | − | 17.2980i | −0.784770 | − | 0.995386i | ||||
\(303\) | 0.0814597 | − | 3.01850i | 0.00467974 | − | 0.173408i | ||||
\(304\) | 21.1675 | + | 14.5425i | 1.21404 | + | 0.834072i | ||||
\(305\) | 24.0522 | 1.37723 | ||||||||
\(306\) | −8.18064 | + | 5.76243i | −0.467656 | + | 0.329416i | ||||
\(307\) | −1.30494 | − | 3.15040i | −0.0744767 | − | 0.179803i | 0.882257 | − | 0.470769i | \(-0.156023\pi\) |
−0.956733 | + | 0.290966i | \(0.906023\pi\) | |||||||
\(308\) | −4.97184 | − | 31.3730i | −0.283297 | − | 1.78764i | ||||
\(309\) | 29.4020 | − | 3.06649i | 1.67262 | − | 0.174446i | ||||
\(310\) | 15.4901 | + | 8.67398i | 0.879780 | + | 0.492649i | ||||
\(311\) | 5.10249 | + | 19.0427i | 0.289335 | + | 1.07981i | 0.945613 | + | 0.325295i | \(0.105463\pi\) |
−0.656277 | + | 0.754520i | \(0.727870\pi\) | |||||||
\(312\) | −2.20561 | − | 1.64930i | −0.124868 | − | 0.0933732i | ||||
\(313\) | −5.97540 | + | 22.3005i | −0.337749 | + | 1.26050i | 0.563108 | + | 0.826383i | \(0.309605\pi\) |
−0.900858 | + | 0.434115i | \(0.857061\pi\) | |||||||
\(314\) | −6.34102 | + | 6.50982i | −0.357845 | + | 0.367370i | ||||
\(315\) | −2.38061 | − | 30.8805i | −0.134132 | − | 1.73992i | ||||
\(316\) | −8.61377 | + | 9.07862i | −0.484562 | + | 0.510712i | ||||
\(317\) | 16.6045 | + | 12.7411i | 0.932600 | + | 0.715609i | 0.958810 | − | 0.284048i | \(-0.0916774\pi\) |
−0.0262106 | + | 0.999656i | \(0.508344\pi\) | |||||||
\(318\) | −6.58197 | − | 16.5341i | −0.369098 | − | 0.927189i | ||||
\(319\) | −28.5486 | − | 16.4825i | −1.59841 | − | 0.922845i | ||||
\(320\) | −1.58670 | + | 30.4306i | −0.0886992 | + | 1.70112i | ||||
\(321\) | −0.0967510 | − | 0.0593957i | −0.00540012 | − | 0.00331514i | ||||
\(322\) | 2.87205 | + | 2.14446i | 0.160053 | + | 0.119506i | ||||
\(323\) | 5.79490 | + | 13.9901i | 0.322437 | + | 0.778432i | ||||
\(324\) | 6.06132 | − | 16.9488i | 0.336740 | − | 0.941598i | ||||
\(325\) | −4.93847 | − | 2.04558i | −0.273937 | − | 0.113468i | ||||
\(326\) | −3.11329 | + | 12.2609i | −0.172429 | + | 0.679068i | ||||
\(327\) | 0.551275 | + | 2.30435i | 0.0304855 | + | 0.127431i | ||||
\(328\) | −15.1199 | − | 1.38730i | −0.834855 | − | 0.0766006i | ||||
\(329\) | 22.3478 | − | 5.98806i | 1.23207 | − | 0.330133i | ||||
\(330\) | 0.756958 | − | 54.6659i | 0.0416692 | − | 3.00926i | ||||
\(331\) | −2.32217 | − | 17.6386i | −0.127638 | − | 0.969506i | −0.928676 | − | 0.370893i | \(-0.879052\pi\) |
0.801038 | − | 0.598614i | \(-0.204282\pi\) | |||||||
\(332\) | 4.17393 | − | 10.8763i | 0.229074 | − | 0.596916i | ||||
\(333\) | 5.65711 | + | 4.84731i | 0.310008 | + | 0.265631i | ||||
\(334\) | 4.30932 | − | 10.8028i | 0.235796 | − | 0.591103i | ||||
\(335\) | −11.4441 | + | 6.60724i | −0.625257 | + | 0.360992i | ||||
\(336\) | −2.92604 | − | 18.5491i | −0.159628 | − | 1.01194i | ||||
\(337\) | −23.6729 | − | 13.6676i | −1.28955 | − | 0.744521i | −0.310974 | − | 0.950418i | \(-0.600655\pi\) |
−0.978574 | + | 0.205898i | \(0.933989\pi\) | |||||||
\(338\) | −14.0864 | + | 11.1058i | −0.766199 | + | 0.604077i | ||||
\(339\) | −25.0153 | − | 20.2902i | −1.35865 | − | 1.10201i | ||||
\(340\) | −10.5596 | + | 14.5368i | −0.572676 | + | 0.788367i | ||||
\(341\) | −17.8420 | − | 7.39039i | −0.966198 | − | 0.400212i | ||||
\(342\) | −23.0146 | − | 14.5713i | −1.24449 | − | 0.787924i | ||||
\(343\) | −12.7519 | − | 12.7519i | −0.688540 | − | 0.688540i | ||||
\(344\) | 2.83153 | − | 12.5213i | 0.152666 | − | 0.675103i | ||||
\(345\) | 4.24296 | + | 4.47832i | 0.228433 | + | 0.241105i | ||||
\(346\) | 9.60712 | + | 34.0585i | 0.516482 | + | 1.83100i | ||||
\(347\) | 23.9755 | − | 18.3970i | 1.28707 | − | 0.987604i | 0.287515 | − | 0.957776i | \(-0.407171\pi\) |
0.999555 | − | 0.0298279i | \(-0.00949593\pi\) | |||||||
\(348\) | −16.8704 | − | 9.75613i | −0.904347 | − | 0.522984i | ||||
\(349\) | −6.93229 | + | 9.03433i | −0.371077 | + | 0.483597i | −0.941146 | − | 0.338000i | \(-0.890250\pi\) |
0.570069 | + | 0.821597i | \(0.306916\pi\) | |||||||
\(350\) | −14.3887 | − | 33.4866i | −0.769110 | − | 1.78993i | ||||
\(351\) | 2.40340 | + | 1.66032i | 0.128284 | + | 0.0886214i | ||||
\(352\) | −2.17525 | − | 33.0758i | −0.115941 | − | 1.76294i | ||||
\(353\) | −13.5544 | + | 7.82565i | −0.721429 | + | 0.416517i | −0.815278 | − | 0.579069i | \(-0.803416\pi\) |
0.0938493 | + | 0.995586i | \(0.470083\pi\) | |||||||
\(354\) | 11.0149 | + | 1.60559i | 0.585435 | + | 0.0853360i | ||||
\(355\) | −3.59386 | + | 27.2981i | −0.190742 | + | 1.44883i | ||||
\(356\) | 13.7168 | + | 7.44604i | 0.726988 | + | 0.394639i | ||||
\(357\) | 4.51166 | − | 10.1116i | 0.238782 | − | 0.535160i | ||||
\(358\) | −4.84233 | + | 19.0703i | −0.255925 | + | 1.00789i | ||||
\(359\) | −20.5912 | − | 20.5912i | −1.08676 | − | 1.08676i | −0.995860 | − | 0.0908994i | \(-0.971026\pi\) |
−0.0908994 | − | 0.995860i | \(-0.528974\pi\) | |||||||
\(360\) | 0.470503 | − | 32.3169i | 0.0247977 | − | 1.70325i | ||||
\(361\) | −15.7132 | + | 15.7132i | −0.827013 | + | 0.827013i | ||||
\(362\) | 5.26770 | + | 8.85332i | 0.276864 | + | 0.465320i | ||||
\(363\) | 4.19270 | + | 40.2004i | 0.220060 | + | 2.10997i | ||||
\(364\) | 3.03080 | + | 0.318278i | 0.158857 | + | 0.0166823i | ||||
\(365\) | −0.470266 | − | 0.0619117i | −0.0246149 | − | 0.00324061i | ||||
\(366\) | −15.3617 | + | 1.80640i | −0.802968 | + | 0.0944219i | ||||
\(367\) | 7.05600 | + | 12.2214i | 0.368320 | + | 0.637950i | 0.989303 | − | 0.145875i | \(-0.0465996\pi\) |
−0.620983 | + | 0.783824i | \(0.713266\pi\) | |||||||
\(368\) | 2.78007 | + | 2.50229i | 0.144921 | + | 0.130441i | ||||
\(369\) | 16.0810 | + | 0.868582i | 0.837141 | + | 0.0452166i | ||||
\(370\) | 12.4246 | + | 4.95627i | 0.645923 | + | 0.257664i | ||||
\(371\) | 15.6227 | + | 11.9877i | 0.811088 | + | 0.622370i | ||||
\(372\) | −10.5447 | − | 4.37655i | −0.546716 | − | 0.226913i | ||||
\(373\) | 11.2045 | + | 14.6020i | 0.580148 | + | 0.756064i | 0.987571 | − | 0.157176i | \(-0.0502389\pi\) |
−0.407422 | + | 0.913240i | \(0.633572\pi\) | |||||||
\(374\) | 9.54922 | − | 17.0531i | 0.493778 | − | 0.881796i | ||||
\(375\) | −6.92036 | − | 28.9274i | −0.357366 | − | 1.49380i | ||||
\(376\) | 23.7940 | − | 4.09180i | 1.22708 | − | 0.211019i | ||||
\(377\) | 2.23633 | − | 2.23633i | 0.115177 | − | 0.115177i | ||||
\(378\) | 3.83967 | + | 19.5440i | 0.197491 | + | 1.00523i | ||||
\(379\) | 1.49216 | − | 3.60239i | 0.0766470 | − | 0.185042i | −0.880912 | − | 0.473281i | \(-0.843070\pi\) |
0.957559 | + | 0.288239i | \(0.0930696\pi\) | |||||||
\(380\) | −47.5603 | − | 11.4138i | −2.43979 | − | 0.585514i | ||||
\(381\) | −18.2701 | − | 2.90869i | −0.936005 | − | 0.149017i | ||||
\(382\) | −24.2072 | − | 2.86402i | −1.23855 | − | 0.146536i | ||||
\(383\) | 6.15914 | − | 10.6679i | 0.314717 | − | 0.545107i | −0.664660 | − | 0.747146i | \(-0.731424\pi\) |
0.979377 | + | 0.202039i | \(0.0647569\pi\) | |||||||
\(384\) | −1.27204 | − | 19.5546i | −0.0649135 | − | 0.997891i | ||||
\(385\) | 30.2477 | + | 52.3905i | 1.54156 | + | 2.67007i | ||||
\(386\) | −5.59411 | − | 13.0191i | −0.284733 | − | 0.662653i | ||||
\(387\) | −2.50278 | + | 13.3842i | −0.127223 | + | 0.680356i | ||||
\(388\) | −14.0722 | + | 14.8317i | −0.714410 | + | 0.752965i | ||||
\(389\) | −15.7380 | + | 2.07194i | −0.797947 | + | 0.105052i | −0.518465 | − | 0.855099i | \(-0.673496\pi\) |
−0.279483 | + | 0.960151i | \(0.590163\pi\) | |||||||
\(390\) | 5.04710 | + | 1.42755i | 0.255570 | + | 0.0722869i | ||||
\(391\) | 0.570810 | + | 2.13029i | 0.0288671 | + | 0.107733i | ||||
\(392\) | 0.626741 | + | 0.753371i | 0.0316552 | + | 0.0380510i | ||||
\(393\) | 9.48183 | − | 31.9163i | 0.478295 | − | 1.60996i | ||||
\(394\) | −2.06701 | − | 3.47398i | −0.104134 | − | 0.175017i | ||||
\(395\) | 9.12097 | − | 22.0200i | 0.458926 | − | 1.10794i | ||||
\(396\) | 3.62212 | + | 34.9709i | 0.182019 | + | 1.75735i | ||||
\(397\) | −14.5815 | + | 6.03985i | −0.731824 | + | 0.303131i | −0.717301 | − | 0.696763i | \(-0.754623\pi\) |
−0.0145227 | + | 0.999895i | \(0.504623\pi\) | |||||||
\(398\) | 1.79857 | + | 12.4007i | 0.0901543 | + | 0.621590i | ||||
\(399\) | 30.1305 | + | 0.813127i | 1.50841 | + | 0.0407073i | ||||
\(400\) | −11.7594 | − | 36.1701i | −0.587972 | − | 1.80850i | ||||
\(401\) | −18.3430 | + | 31.7710i | −0.916004 | + | 1.58657i | −0.110580 | + | 0.993867i | \(0.535271\pi\) |
−0.805424 | + | 0.592699i | \(0.798062\pi\) | |||||||
\(402\) | 6.81288 | − | 5.07940i | 0.339796 | − | 0.253338i | ||||
\(403\) | 1.12790 | − | 1.46991i | 0.0561848 | − | 0.0732215i | ||||
\(404\) | 1.41846 | + | 3.18516i | 0.0705711 | + | 0.158468i | ||||
\(405\) | 0.787651 | + | 34.2719i | 0.0391387 | + | 1.70298i | ||||
\(406\) | 21.5625 | − | 0.283223i | 1.07013 | − | 0.0140561i | ||||
\(407\) | −14.0552 | − | 3.76609i | −0.696692 | − | 0.186678i | ||||
\(408\) | 5.65247 | − | 10.0774i | 0.279839 | − | 0.498906i | ||||
\(409\) | 9.98307 | − | 2.67495i | 0.493631 | − | 0.132268i | −0.00341162 | − | 0.999994i | \(-0.501086\pi\) |
0.497043 | + | 0.867726i | \(0.334419\pi\) | |||||||
\(410\) | 27.8307 | − | 7.85039i | 1.37446 | − | 0.387703i | ||||
\(411\) | −28.7218 | − | 12.8153i | −1.41674 | − | 0.632134i | ||||
\(412\) | −29.1030 | + | 17.8379i | −1.43380 | + | 0.878811i | ||||
\(413\) | −11.3795 | + | 4.71356i | −0.559951 | + | 0.231939i | ||||
\(414\) | −3.04623 | − | 2.54155i | −0.149714 | − | 0.124911i | ||||
\(415\) | 22.1868i | 1.08911i | ||||||||
\(416\) | 3.11915 | + | 0.619721i | 0.152929 | + | 0.0303843i | ||||
\(417\) | −5.81485 | − | 10.7301i | −0.284754 | − | 0.525455i | ||||
\(418\) | 52.8363 | + | 6.25122i | 2.58431 | + | 0.305757i | ||||
\(419\) | −10.2793 | − | 1.35330i | −0.502179 | − | 0.0661131i | −0.124818 | − | 0.992180i | \(-0.539835\pi\) |
−0.377360 | + | 0.926067i | \(0.623168\pi\) | |||||||
\(420\) | 17.8597 | + | 30.9848i | 0.871464 | + | 1.51190i | ||||
\(421\) | 1.64509 | + | 12.4957i | 0.0801767 | + | 0.609002i | 0.983615 | + | 0.180283i | \(0.0577015\pi\) |
−0.903438 | + | 0.428719i | \(0.858965\pi\) | |||||||
\(422\) | −12.9261 | + | 13.2701i | −0.629231 | + | 0.645981i | ||||
\(423\) | −25.0567 | + | 5.28405i | −1.21830 | + | 0.256919i | ||||
\(424\) | 15.0915 | + | 13.9468i | 0.732910 | + | 0.677315i | ||||
\(425\) | 5.80426 | − | 21.6618i | 0.281548 | − | 1.05075i | ||||
\(426\) | 0.245157 | − | 17.7047i | 0.0118779 | − | 0.857794i | ||||
\(427\) | 13.5785 | − | 10.4191i | 0.657109 | − | 0.504218i | ||||
\(428\) | 0.130374 | + | 0.0136912i | 0.00630186 | + | 0.000661789i | ||||
\(429\) | −5.63464 | − | 0.897064i | −0.272043 | − | 0.0433106i | ||||
\(430\) | 3.50930 | + | 24.1957i | 0.169234 | + | 1.16682i | ||||
\(431\) | 8.95536i | 0.431364i | 0.976464 | + | 0.215682i | \(0.0691975\pi\) | ||||
−0.976464 | + | 0.215682i | \(0.930802\pi\) | |||||||
\(432\) | 2.12660 | + | 20.6755i | 0.102316 | + | 0.994752i | ||||
\(433\) | 8.80215i | 0.423004i | 0.977378 | + | 0.211502i | \(0.0678355\pi\) | ||||
−0.977378 | + | 0.211502i | \(0.932164\pi\) | |||||||
\(434\) | 12.5023 | − | 1.81331i | 0.600129 | − | 0.0870417i | ||||
\(435\) | 36.6537 | + | 5.83544i | 1.75741 | + | 0.279788i | ||||
\(436\) | −1.72195 | − | 2.12605i | −0.0824667 | − | 0.101819i | ||||
\(437\) | −4.76303 | + | 3.65480i | −0.227847 | + | 0.174833i | ||||
\(438\) | 0.305000 | + | 0.00422333i | 0.0145734 | + | 0.000201798i | ||||
\(439\) | −0.753257 | + | 2.81119i | −0.0359510 | + | 0.134171i | −0.981569 | − | 0.191109i | \(-0.938792\pi\) |
0.945618 | + | 0.325280i | \(0.105458\pi\) | |||||||
\(440\) | 26.4371 | + | 57.3264i | 1.26034 | + | 2.73293i | ||||
\(441\) | −0.694279 | − | 0.773561i | −0.0330609 | − | 0.0368362i | ||||
\(442\) | 1.34320 | + | 1.30837i | 0.0638896 | + | 0.0622330i | ||||
\(443\) | 2.39207 | + | 18.1696i | 0.113651 | + | 0.863262i | 0.949382 | + | 0.314124i | \(0.101711\pi\) |
−0.835731 | + | 0.549138i | \(0.814956\pi\) | |||||||
\(444\) | −8.30757 | − | 2.23235i | −0.394260 | − | 0.105942i | ||||
\(445\) | −29.4701 | − | 3.87981i | −1.39702 | − | 0.183921i | ||||
\(446\) | 0.345171 | − | 2.91744i | 0.0163443 | − | 0.138145i | ||||
\(447\) | −2.03570 | − | 3.75646i | −0.0962854 | − | 0.177675i | ||||
\(448\) | 12.2864 | + | 17.8667i | 0.580479 | + | 0.844122i | ||||
\(449\) | − | 5.30563i | − | 0.250388i | −0.992132 | − | 0.125194i | \(-0.960045\pi\) | ||
0.992132 | − | 0.125194i | \(-0.0399554\pi\) | |||||||
\(450\) | 13.9037 | + | 37.8691i | 0.655427 | + | 1.78516i | ||||
\(451\) | −29.0610 | + | 12.0375i | −1.36843 | + | 0.566822i | ||||
\(452\) | 36.1656 | + | 8.67920i | 1.70108 | + | 0.408235i | ||||
\(453\) | −24.6369 | − | 10.9927i | −1.15754 | − | 0.516482i | ||||
\(454\) | −1.94367 | − | 6.89055i | −0.0912208 | − | 0.323390i | ||||
\(455\) | −5.60612 | + | 1.50215i | −0.262819 | + | 0.0704221i | ||||
\(456\) | 31.2330 | + | 3.71782i | 1.46262 | + | 0.174103i | ||||
\(457\) | 4.15287 | + | 1.11276i | 0.194263 | + | 0.0520527i | 0.354639 | − | 0.935003i | \(-0.384604\pi\) |
−0.160376 | + | 0.987056i | \(0.551271\pi\) | |||||||
\(458\) | 0.0435255 | + | 3.31371i | 0.00203381 | + | 0.154840i | ||||
\(459\) | −5.59000 | + | 10.9062i | −0.260919 | + | 0.509057i | ||||
\(460\) | −6.65057 | − | 2.55224i | −0.310085 | − | 0.118999i | ||||
\(461\) | 13.7965 | − | 17.9799i | 0.642566 | − | 0.837408i | −0.352584 | − | 0.935780i | \(-0.614697\pi\) |
0.995150 | + | 0.0983719i | \(0.0313635\pi\) | |||||||
\(462\) | −23.2533 | − | 31.1891i | −1.08184 | − | 1.45105i | ||||
\(463\) | −3.19658 | + | 5.53663i | −0.148558 | + | 0.257309i | −0.930695 | − | 0.365797i | \(-0.880796\pi\) |
0.782137 | + | 0.623106i | \(0.214130\pi\) | |||||||
\(464\) | 22.4340 | + | 1.76160i | 1.04147 | + | 0.0817803i | ||||
\(465\) | 21.7354 | + | 0.586571i | 1.00796 | + | 0.0272016i | ||||
\(466\) | −21.4282 | + | 3.10791i | −0.992642 | + | 0.143971i | ||||
\(467\) | −19.4944 | + | 8.07485i | −0.902094 | + | 0.373660i | −0.785025 | − | 0.619464i | \(-0.787350\pi\) |
−0.117069 | + | 0.993124i | \(0.537350\pi\) | |||||||
\(468\) | −3.33070 | − | 0.532696i | −0.153962 | − | 0.0246239i | ||||
\(469\) | −3.59848 | + | 8.68751i | −0.166163 | + | 0.401152i | ||||
\(470\) | −39.5151 | + | 23.5114i | −1.82269 | + | 1.08450i | ||||
\(471\) | −3.16966 | + | 10.6692i | −0.146050 | + | 0.491613i | ||||
\(472\) | −12.2747 | + | 3.81317i | −0.564987 | + | 0.175515i | ||||
\(473\) | −6.88339 | − | 25.6892i | −0.316499 | − | 1.18119i | ||||
\(474\) | −4.17161 | + | 14.7487i | −0.191609 | + | 0.677432i | ||||
\(475\) | 60.5258 | − | 7.96837i | 2.77711 | − | 0.365614i | ||||
\(476\) | 0.335812 | + | 12.7809i | 0.0153919 | + | 0.585813i | ||||
\(477\) | −16.5509 | − | 14.1817i | −0.757812 | − | 0.649333i | ||||
\(478\) | −2.94587 | + | 1.26580i | −0.134741 | + | 0.0578964i | ||||
\(479\) | −20.1298 | − | 34.8658i | −0.919753 | − | 1.59306i | −0.799790 | − | 0.600280i | \(-0.795056\pi\) |
−0.119963 | − | 0.992778i | \(-0.538278\pi\) | |||||||
\(480\) | 15.6049 | + | 33.9013i | 0.712263 | + | 1.54737i | ||||
\(481\) | 0.698009 | − | 1.20899i | 0.0318265 | − | 0.0551251i | ||||
\(482\) | −0.791060 | + | 6.68617i | −0.0360318 | + | 0.304547i | ||||
\(483\) | 4.33528 | + | 0.690199i | 0.197262 | + | 0.0314051i | ||||
\(484\) | −24.3891 | − | 39.7915i | −1.10860 | − | 1.80871i | ||||
\(485\) | 14.9009 | − | 35.9739i | 0.676613 | − | 1.63349i | ||||
\(486\) | −3.07698 | − | 21.8296i | −0.139575 | − | 0.990212i | ||||
\(487\) | −7.27344 | + | 7.27344i | −0.329591 | + | 0.329591i | −0.852431 | − | 0.522840i | \(-0.824873\pi\) |
0.522840 | + | 0.852431i | \(0.324873\pi\) | |||||||
\(488\) | 15.1037 | − | 9.53255i | 0.683714 | − | 0.431518i | ||||
\(489\) | 3.60471 | + | 15.0678i | 0.163011 | + | 0.681391i | ||||
\(490\) | −1.62845 | − | 0.911880i | −0.0735658 | − | 0.0411946i | ||||
\(491\) | −2.23847 | − | 2.91724i | −0.101021 | − | 0.131653i | 0.740107 | − | 0.672489i | \(-0.234775\pi\) |
−0.841128 | + | 0.540836i | \(0.818108\pi\) | |||||||
\(492\) | −17.1853 | + | 7.10406i | −0.774773 | + | 0.320276i | ||||
\(493\) | 10.5267 | + | 8.07740i | 0.474098 | + | 0.363788i | ||||
\(494\) | −1.89128 | + | 4.74113i | −0.0850926 | + | 0.213314i | ||||
\(495\) | −30.3028 | − | 59.7087i | −1.36201 | − | 2.68371i | ||||
\(496\) | 13.1649 | − | 0.692277i | 0.591119 | − | 0.0310842i | ||||
\(497\) | 9.79633 | + | 16.9677i | 0.439426 | + | 0.761108i | ||||
\(498\) | −1.66630 | − | 14.1703i | −0.0746688 | − | 0.634987i | ||||
\(499\) | −41.3611 | − | 5.44529i | −1.85158 | − | 0.243765i | −0.879078 | − | 0.476678i | \(-0.841841\pi\) |
−0.972498 | + | 0.232913i | \(0.925174\pi\) | |||||||
\(500\) | 21.6164 | + | 26.6892i | 0.966713 | + | 1.19358i | ||||
\(501\) | −1.47762 | − | 14.1677i | −0.0660151 | − | 0.632964i | ||||
\(502\) | −2.90944 | + | 1.73111i | −0.129855 | + | 0.0772633i | ||||
\(503\) | 27.6901 | − | 27.6901i | 1.23464 | − | 1.23464i | 0.272479 | − | 0.962162i | \(-0.412156\pi\) |
0.962162 | − | 0.272479i | \(-0.0878435\pi\) | |||||||
\(504\) | −13.7337 | − | 18.4481i | −0.611748 | − | 0.821743i | ||||
\(505\) | −4.69551 | − | 4.69551i | −0.208948 | − | 0.208948i | ||||
\(506\) | 7.51055 | + | 1.90708i | 0.333885 | + | 0.0847802i | ||||
\(507\) | −8.95177 | + | 20.0628i | −0.397562 | + | 0.891019i | ||||
\(508\) | 20.4819 | − | 6.06899i | 0.908738 | − | 0.269268i | ||||
\(509\) | −0.946763 | + | 7.19138i | −0.0419645 | + | 0.318752i | 0.957569 | + | 0.288205i | \(0.0930584\pi\) |
−0.999533 | + | 0.0305474i | \(0.990275\pi\) | |||||||
\(510\) | −3.17407 | + | 21.7752i | −0.140550 | + | 0.964223i | ||||
\(511\) | −0.292304 | + | 0.168762i | −0.0129308 | + | 0.00746559i | ||||
\(512\) | 11.0641 | + | 19.7379i | 0.488969 | + | 0.872301i | ||||
\(513\) | −33.2523 | − | 2.69737i | −1.46812 | − | 0.119092i | ||||
\(514\) | 28.5242 | − | 12.2565i | 1.25815 | − | 0.540609i | ||||
\(515\) | 39.5752 | − | 51.5754i | 1.74389 | − | 2.27268i | ||||
\(516\) | −4.05850 | − | 15.1898i | −0.178665 | − | 0.668692i | ||||
\(517\) | 39.6816 | − | 30.4488i | 1.74520 | − | 1.33914i | ||||
\(518\) | 9.16119 | − | 2.58416i | 0.402520 | − | 0.113542i | ||||
\(519\) | 29.8086 | + | 31.4621i | 1.30845 | + | 1.38103i | ||||
\(520\) | −5.96891 | + | 1.02646i | −0.261754 | + | 0.0450134i | ||||
\(521\) | −23.8584 | − | 23.8584i | −1.04526 | − | 1.04526i | −0.998926 | − | 0.0463307i | \(-0.985247\pi\) |
−0.0463307 | − | 0.998926i | \(-0.514753\pi\) | |||||||
\(522\) | −23.8482 | − | 0.974180i | −1.04381 | − | 0.0426387i | ||||
\(523\) | 20.0547 | + | 8.30693i | 0.876931 | + | 0.363237i | 0.775306 | − | 0.631586i | \(-0.217596\pi\) |
0.101625 | + | 0.994823i | \(0.467596\pi\) | |||||||
\(524\) | 6.01759 | + | 37.9719i | 0.262880 | + | 1.65881i | ||||
\(525\) | −34.6680 | − | 28.1196i | −1.51304 | − | 1.22724i | ||||
\(526\) | 12.8820 | + | 16.3392i | 0.561680 | + | 0.712423i | ||||
\(527\) | 6.73176 | + | 3.88659i | 0.293240 | + | 0.169302i | ||||
\(528\) | −21.1902 | − | 34.6278i | −0.922187 | − | 1.50698i | ||||
\(529\) | 19.1613 | − | 11.0628i | 0.833102 | − | 0.480992i | ||||
\(530\) | −36.3503 | − | 14.5004i | −1.57896 | − | 0.629858i | ||||
\(531\) | 12.8583 | − | 4.53021i | 0.558003 | − | 0.196594i | ||||
\(532\) | −31.7941 | + | 14.1590i | −1.37845 | + | 0.613871i | ||||
\(533\) | −0.393904 | − | 2.99199i | −0.0170619 | − | 0.129598i | ||||
\(534\) | 19.1134 | + | 0.264663i | 0.827116 | + | 0.0114531i | ||||
\(535\) | −0.241155 | + | 0.0646173i | −0.0104260 | + | 0.00279365i | ||||
\(536\) | −4.56775 | + | 8.68466i | −0.197297 | + | 0.375120i | ||||
\(537\) | 5.60667 | + | 23.4361i | 0.241946 | + | 1.01134i | ||||
\(538\) | −14.4011 | − | 3.65674i | −0.620876 | − | 0.157653i | ||||
\(539\) | 1.87570 | + | 0.776939i | 0.0807919 | + | 0.0334651i | ||||
\(540\) | −17.8892 | − | 35.3112i | −0.769830 | − | 1.51955i | ||||
\(541\) | −11.3812 | − | 27.4765i | −0.489314 | − | 1.18131i | −0.955066 | − | 0.296393i | \(-0.904216\pi\) |
0.465752 | − | 0.884915i | \(-0.345784\pi\) | |||||||
\(542\) | 11.6800 | − | 15.6428i | 0.501698 | − | 0.671917i | ||||
\(543\) | 10.7527 | + | 6.60110i | 0.461442 | + | 0.283280i | ||||
\(544\) | −0.869657 | + | 13.3135i | −0.0372862 | + | 0.570813i | ||||
\(545\) | 4.51246 | + | 2.60527i | 0.193292 | + | 0.111597i | ||||
\(546\) | 3.46770 | − | 1.38043i | 0.148404 | − | 0.0590771i | ||||
\(547\) | 15.7431 | + | 12.0801i | 0.673125 | + | 0.516507i | 0.887830 | − | 0.460172i | \(-0.152212\pi\) |
−0.214705 | + | 0.976679i | \(0.568879\pi\) | |||||||
\(548\) | 36.3042 | − | 0.953873i | 1.55084 | − | 0.0407474i | ||||
\(549\) | −15.6292 | + | 10.7049i | −0.667039 | + | 0.456872i | ||||
\(550\) | −56.4430 | − | 54.9795i | −2.40674 | − | 2.34433i | ||||
\(551\) | −9.34850 | + | 34.8891i | −0.398260 | + | 1.48633i | ||||
\(552\) | 4.43927 | + | 1.13059i | 0.188948 | + | 0.0481210i | ||||
\(553\) | −4.38962 | − | 16.3823i | −0.186666 | − | 0.696646i | ||||
\(554\) | −10.5307 | + | 18.8059i | −0.447407 | + | 0.798986i | ||||
\(555\) | 16.2946 | − | 1.69945i | 0.691667 | − | 0.0721375i | ||||
\(556\) | 11.4017 | + | 8.28231i | 0.483542 | + | 0.351248i | ||||
\(557\) | 15.4564 | + | 37.3150i | 0.654908 | + | 1.58109i | 0.805568 | + | 0.592503i | \(0.201860\pi\) |
−0.150660 | + | 0.988586i | \(0.548140\pi\) | |||||||
\(558\) | −13.9260 | + | 1.25777i | −0.589536 | + | 0.0532455i | ||||
\(559\) | 2.55154 | 0.107919 | ||||||||
\(560\) | −34.0374 | − | 23.3844i | −1.43834 | − | 0.988170i | ||||
\(561\) | 0.645758 | − | 23.9286i | 0.0272639 | − | 1.01027i | ||||
\(562\) | −8.85400 | + | 6.98057i | −0.373484 | + | 0.294457i | ||||
\(563\) | 1.70048 | − | 12.9164i | 0.0716666 | − | 0.544362i | −0.917519 | − | 0.397692i | \(-0.869811\pi\) |
0.989186 | − | 0.146670i | \(-0.0468555\pi\) | |||||||
\(564\) | 23.4717 | − | 17.9840i | 0.988338 | − | 0.757261i | ||||
\(565\) | −70.2268 | + | 9.24553i | −2.95446 | + | 0.388963i | ||||
\(566\) | −28.3335 | + | 0.372160i | −1.19095 | + | 0.0156431i | ||||
\(567\) | 15.2908 | + | 19.0067i | 0.642155 | + | 0.798207i | ||||
\(568\) | 8.56220 | + | 18.5664i | 0.359262 | + | 0.779027i | ||||
\(569\) | −26.7815 | − | 7.17609i | −1.12274 | − | 0.300837i | −0.350748 | − | 0.936470i | \(-0.614073\pi\) |
−0.771992 | + | 0.635633i | \(0.780739\pi\) | |||||||
\(570\) | −58.0711 | + | 14.7014i | −2.43233 | + | 0.615776i | ||||
\(571\) | −8.80818 | − | 11.4790i | −0.368611 | − | 0.480383i | 0.571815 | − | 0.820383i | \(-0.306240\pi\) |
−0.940425 | + | 0.340000i | \(0.889573\pi\) | |||||||
\(572\) | 6.31679 | − | 1.87173i | 0.264118 | − | 0.0782609i | ||||
\(573\) | −27.8800 | + | 10.6765i | −1.16471 | + | 0.446019i | ||||
\(574\) | 12.3109 | − | 16.4878i | 0.513846 | − | 0.688187i | ||||
\(575\) | 8.89120 | 0.370789 | ||||||||
\(576\) | −12.5126 | − | 20.4801i | −0.521360 | − | 0.853337i | ||||
\(577\) | 19.5634 | 0.814436 | 0.407218 | − | 0.913331i | \(-0.366499\pi\) | ||||
0.407218 | + | 0.913331i | \(0.366499\pi\) | |||||||
\(578\) | 9.67720 | − | 12.9605i | 0.402519 | − | 0.539087i | ||||
\(579\) | −13.4784 | − | 10.9324i | −0.560142 | − | 0.454337i | ||||
\(580\) | −41.0911 | + | 12.1757i | −1.70621 | + | 0.505568i | ||||
\(581\) | 9.61108 | + | 12.5254i | 0.398735 | + | 0.519641i | ||||
\(582\) | −6.81514 | + | 24.0949i | −0.282497 | + | 0.998766i | ||||
\(583\) | 41.1211 | + | 11.0184i | 1.70306 | + | 0.456334i | ||||
\(584\) | −0.319844 | + | 0.147502i | −0.0132352 | + | 0.00610366i | ||||
\(585\) | 6.28567 | − | 1.32555i | 0.259881 | − | 0.0548047i | ||||
\(586\) | 36.4572 | − | 0.478864i | 1.50603 | − | 0.0197817i | ||||
\(587\) | −1.94491 | + | 0.256052i | −0.0802750 | + | 0.0105684i | −0.170557 | − | 0.985348i | \(-0.554557\pi\) |
0.0902817 | + | 0.995916i | \(0.471223\pi\) | |||||||
\(588\) | 1.10854 | + | 0.460099i | 0.0457156 | + | 0.0189741i | ||||
\(589\) | −2.76196 | + | 20.9792i | −0.113805 | + | 0.864431i | ||||
\(590\) | 19.2232 | − | 15.1557i | 0.791405 | − | 0.623950i | ||||
\(591\) | −4.21928 | − | 2.59023i | −0.173558 | − | 0.106548i | ||||
\(592\) | 9.76639 | − | 1.81188i | 0.401396 | − | 0.0744679i | ||||
\(593\) | −29.2396 | −1.20072 | −0.600362 | − | 0.799728i | \(-0.704977\pi\) | ||||
−0.600362 | + | 0.799728i | \(0.704977\pi\) | |||||||
\(594\) | 23.8381 | + | 35.8590i | 0.978090 | + | 1.47131i | ||||
\(595\) | −9.31819 | − | 22.4961i | −0.382009 | − | 0.922251i | ||||
\(596\) | 3.99160 | + | 2.89953i | 0.163502 | + | 0.118769i | ||||
\(597\) | 9.01055 | + | 12.4229i | 0.368777 | + | 0.508434i | ||||
\(598\) | −0.363224 | + | 0.648650i | −0.0148533 | + | 0.0265253i | ||||
\(599\) | −8.98714 | − | 33.5405i | −0.367205 | − | 1.37043i | −0.864407 | − | 0.502792i | \(-0.832306\pi\) |
0.497203 | − | 0.867634i | \(-0.334361\pi\) | |||||||
\(600\) | −33.3447 | − | 32.5264i | −1.36129 | − | 1.32788i | ||||
\(601\) | −1.30290 | + | 4.86250i | −0.0531466 | + | 0.198346i | −0.987395 | − | 0.158278i | \(-0.949406\pi\) |
0.934248 | + | 0.356624i | \(0.116072\pi\) | |||||||
\(602\) | 12.4625 | + | 12.1393i | 0.507932 | + | 0.494761i | ||||
\(603\) | 4.49573 | − | 9.38680i | 0.183080 | − | 0.382260i | ||||
\(604\) | 31.1408 | − | 0.818209i | 1.26710 | − | 0.0332925i | ||||
\(605\) | 70.5172 | + | 54.1098i | 2.86693 | + | 2.19987i | ||||
\(606\) | 3.35158 | + | 2.64628i | 0.136149 | + | 0.107498i | ||||
\(607\) | 27.8510 | + | 16.0798i | 1.13044 | + | 0.652659i | 0.944045 | − | 0.329816i | \(-0.106987\pi\) |
0.186393 | + | 0.982475i | \(0.440320\pi\) | |||||||
\(608\) | −34.3894 | + | 11.6821i | −1.39467 | + | 0.473772i | ||||
\(609\) | 23.2204 | − | 12.5836i | 0.940937 | − | 0.509912i | ||||
\(610\) | −20.3508 | + | 27.2555i | −0.823979 | + | 1.10354i | ||||
\(611\) | 1.83637 | + | 4.43338i | 0.0742914 | + | 0.179355i | ||||
\(612\) | 0.391829 | − | 14.1458i | 0.0158387 | − | 0.571810i | ||||
\(613\) | 43.9688 | + | 18.2125i | 1.77588 | + | 0.735595i | 0.993638 | + | 0.112623i | \(0.0359254\pi\) |
0.782245 | + | 0.622971i | \(0.214075\pi\) | |||||||
\(614\) | 4.67409 | + | 1.18685i | 0.188631 | + | 0.0478973i | ||||
\(615\) | 25.7090 | − | 24.3579i | 1.03669 | − | 0.982205i | ||||
\(616\) | 39.7580 | + | 20.9109i | 1.60189 | + | 0.842526i | ||||
\(617\) | −3.09645 | + | 0.829692i | −0.124659 | + | 0.0334021i | −0.320609 | − | 0.947212i | \(-0.603888\pi\) |
0.195950 | + | 0.980614i | \(0.437221\pi\) | |||||||
\(618\) | −21.4024 | + | 35.9124i | −0.860932 | + | 1.44461i | ||||
\(619\) | −2.54048 | − | 19.2968i | −0.102110 | − | 0.775605i | −0.963509 | − | 0.267676i | \(-0.913744\pi\) |
0.861399 | − | 0.507930i | \(-0.169589\pi\) | |||||||
\(620\) | −22.9355 | + | 10.2140i | −0.921113 | + | 0.410203i | ||||
\(621\) | −4.75024 | − | 1.02162i | −0.190621 | − | 0.0409963i | ||||
\(622\) | −25.8961 | − | 10.3302i | −1.03834 | − | 0.414202i | ||||
\(623\) | −18.3178 | + | 10.5758i | −0.733887 | + | 0.423710i | ||||
\(624\) | 3.73514 | − | 1.10387i | 0.149525 | − | 0.0441900i | ||||
\(625\) | −15.4740 | − | 8.93392i | −0.618960 | − | 0.357357i | ||||
\(626\) | −20.2147 | − | 25.6398i | −0.807940 | − | 1.02477i | ||||
\(627\) | 60.8530 | − | 23.3034i | 2.43023 | − | 0.930648i | ||||
\(628\) | −2.01161 | − | 12.6935i | −0.0802720 | − | 0.506527i | ||||
\(629\) | 5.41103 | + | 2.24132i | 0.215752 | + | 0.0893674i | ||||
\(630\) | 37.0074 | + | 23.4306i | 1.47441 | + | 0.933496i | ||||
\(631\) | −24.6816 | − | 24.6816i | −0.982558 | − | 0.982558i | 0.0172927 | − | 0.999850i | \(-0.494495\pi\) |
−0.999850 | + | 0.0172927i | \(0.994495\pi\) | |||||||
\(632\) | −2.99955 | − | 17.4425i | −0.119316 | − | 0.693824i | ||||
\(633\) | −6.46130 | + | 21.7491i | −0.256814 | + | 0.864447i | ||||
\(634\) | −28.4871 | + | 8.03556i | −1.13137 | + | 0.319133i | ||||
\(635\) | −32.2769 | + | 24.7669i | −1.28087 | + | 0.982846i | ||||
\(636\) | 24.3052 | + | 6.53112i | 0.963766 | + | 0.258976i | ||||
\(637\) | −0.118574 | + | 0.154529i | −0.00469809 | + | 0.00612267i | ||||
\(638\) | 42.8329 | − | 18.4047i | 1.69577 | − | 0.728650i | ||||
\(639\) | −9.81420 | − | 19.3379i | −0.388244 | − | 0.764996i | ||||
\(640\) | −33.1409 | − | 27.5456i | −1.31001 | − | 1.08884i | ||||
\(641\) | 8.73151 | − | 5.04114i | 0.344874 | − | 0.199113i | −0.317551 | − | 0.948241i | \(-0.602861\pi\) |
0.662425 | + | 0.749128i | \(0.269527\pi\) | |||||||
\(642\) | 0.149168 | − | 0.0593813i | 0.00588719 | − | 0.00234359i | ||||
\(643\) | 4.59235 | − | 34.8824i | 0.181105 | − | 1.37563i | −0.623503 | − | 0.781821i | \(-0.714291\pi\) |
0.804608 | − | 0.593807i | \(-0.202376\pi\) | |||||||
\(644\) | −4.86013 | + | 1.44010i | −0.191516 | + | 0.0567480i | ||||
\(645\) | 17.5810 | + | 24.2390i | 0.692253 | + | 0.954409i | ||||
\(646\) | −20.7565 | − | 5.27050i | −0.816653 | − | 0.207365i | ||||
\(647\) | −7.77600 | − | 7.77600i | −0.305706 | − | 0.305706i | 0.537535 | − | 0.843241i | \(-0.319355\pi\) |
−0.843241 | + | 0.537535i | \(0.819355\pi\) | |||||||
\(648\) | 14.0775 | + | 21.2091i | 0.553016 | + | 0.833171i | ||||
\(649\) | −18.8290 | + | 18.8290i | −0.739103 | + | 0.739103i | ||||
\(650\) | 6.49649 | − | 3.86540i | 0.254813 | − | 0.151613i | ||||
\(651\) | 12.5247 | − | 9.08439i | 0.490880 | − | 0.356045i | ||||
\(652\) | −11.2596 | − | 13.9020i | −0.440961 | − | 0.544443i | ||||
\(653\) | −29.3824 | − | 3.86827i | −1.14982 | − | 0.151377i | −0.468570 | − | 0.883426i | \(-0.655231\pi\) |
−0.681252 | + | 0.732049i | \(0.738564\pi\) | |||||||
\(654\) | −3.07768 | − | 1.32503i | −0.120347 | − | 0.0518129i | ||||
\(655\) | −36.6098 | − | 63.4101i | −1.43046 | − | 2.47764i | ||||
\(656\) | 14.3651 | − | 15.9597i | 0.560863 | − | 0.623123i | ||||
\(657\) | 0.333136 | − | 0.169070i | 0.0129969 | − | 0.00659604i | ||||
\(658\) | −12.1231 | + | 30.3906i | −0.472606 | + | 1.18475i | ||||
\(659\) | −7.63349 | − | 5.85738i | −0.297359 | − | 0.228171i | 0.449296 | − | 0.893383i | \(-0.351675\pi\) |
−0.746655 | + | 0.665212i | \(0.768341\pi\) | |||||||
\(660\) | 61.3059 | + | 47.1110i | 2.38633 | + | 1.83379i | ||||
\(661\) | 9.11929 | + | 11.8845i | 0.354699 | + | 0.462253i | 0.936290 | − | 0.351229i | \(-0.114236\pi\) |
−0.581590 | + | 0.813482i | \(0.697569\pi\) | |||||||
\(662\) | 21.9526 | + | 12.2927i | 0.853211 | + | 0.477771i | ||||
\(663\) | 2.20144 | + | 0.654012i | 0.0854967 | + | 0.0253997i | ||||
\(664\) | 8.79325 | + | 13.9324i | 0.341244 | + | 0.540681i | ||||
\(665\) | 46.8704 | − | 46.8704i | 1.81756 | − | 1.81756i | ||||
\(666\) | −10.2794 | + | 2.30918i | −0.398319 | + | 0.0894789i | ||||
\(667\) | −2.01314 | + | 4.86015i | −0.0779491 | + | 0.188186i | ||||
\(668\) | 8.59537 | + | 14.0236i | 0.332565 | + | 0.542589i | ||||
\(669\) | −1.28673 | − | 3.36009i | −0.0497480 | − | 0.129909i | ||||
\(670\) | 2.19573 | − | 18.5587i | 0.0848284 | − | 0.716984i | ||||
\(671\) | 18.5007 | − | 32.0441i | 0.714210 | − | 1.23705i | ||||
\(672\) | 23.4952 | + | 12.3788i | 0.906349 | + | 0.477524i | ||||
\(673\) | −20.2361 | − | 35.0500i | −0.780046 | − | 1.35108i | −0.931914 | − | 0.362678i | \(-0.881862\pi\) |
0.151869 | − | 0.988401i | \(-0.451471\pi\) | |||||||
\(674\) | 35.5177 | − | 15.2615i | 1.36809 | − | 0.587850i | ||||
\(675\) | 36.6372 | + | 33.1479i | 1.41017 | + | 1.27586i | ||||
\(676\) | −0.666299 | − | 25.3592i | −0.0256269 | − | 0.975353i | ||||
\(677\) | 37.3299 | − | 4.91458i | 1.43471 | − | 0.188883i | 0.627253 | − | 0.778816i | \(-0.284179\pi\) |
0.807452 | + | 0.589933i | \(0.200846\pi\) | |||||||
\(678\) | 44.1581 | − | 11.1792i | 1.69588 | − | 0.429334i | ||||
\(679\) | −7.17129 | − | 26.7636i | −0.275209 | − | 1.02709i | ||||
\(680\) | −7.53822 | − | 24.2657i | −0.289077 | − | 0.930546i | ||||
\(681\) | −6.03074 | − | 6.36526i | −0.231098 | − | 0.243917i | ||||
\(682\) | 23.4709 | − | 13.9651i | 0.898748 | − | 0.534752i | ||||
\(683\) | −8.80356 | + | 21.2537i | −0.336859 | + | 0.813249i | 0.661155 | + | 0.750250i | \(0.270067\pi\) |
−0.998014 | + | 0.0629997i | \(0.979933\pi\) | |||||||
\(684\) | 35.9847 | − | 13.7508i | 1.37591 | − | 0.525777i | ||||
\(685\) | −63.9001 | + | 26.4683i | −2.44150 | + | 1.01130i | ||||
\(686\) | 25.2398 | − | 3.66073i | 0.963659 | − | 0.139768i | ||||
\(687\) | 1.93384 | + | 3.56850i | 0.0737805 | + | 0.136147i | ||||
\(688\) | 11.7931 | + | 13.8030i | 0.449608 | + | 0.526235i | ||||
\(689\) | −2.04215 | + | 3.53711i | −0.0777997 | + | 0.134753i | ||||
\(690\) | −8.66475 | + | 1.01890i | −0.329861 | + | 0.0387888i | ||||
\(691\) | 15.6124 | − | 20.3464i | 0.593923 | − | 0.774015i | −0.395595 | − | 0.918425i | \(-0.629462\pi\) |
0.989518 | + | 0.144410i | \(0.0461283\pi\) | |||||||
\(692\) | −46.7231 | − | 17.9306i | −1.77615 | − | 0.681618i | ||||
\(693\) | −42.9723 | − | 20.5813i | −1.63238 | − | 0.781817i | ||||
\(694\) | 0.561316 | + | 42.7344i | 0.0213072 | + | 1.62218i | ||||
\(695\) | −25.9245 | − | 6.94644i | −0.983371 | − | 0.263493i | ||||
\(696\) | 25.3296 | − | 10.8624i | 0.960117 | − | 0.411740i | ||||
\(697\) | 12.2295 | − | 3.27689i | 0.463226 | − | 0.124121i | ||||
\(698\) | −4.37207 | − | 15.4996i | −0.165485 | − | 0.586667i | ||||
\(699\) | −21.4665 | + | 15.5701i | −0.811939 | + | 0.588916i | ||||
\(700\) | 50.1208 | + | 12.0283i | 1.89439 | + | 0.454625i | ||||
\(701\) | −3.56175 | + | 1.47533i | −0.134526 | + | 0.0557223i | −0.448931 | − | 0.893567i | \(-0.648195\pi\) |
0.314405 | + | 0.949289i | \(0.398195\pi\) | |||||||
\(702\) | −3.91498 | + | 1.31868i | −0.147762 | + | 0.0497702i | ||||
\(703\) | 15.9436i | 0.601324i | ||||||||
\(704\) | 39.3214 | + | 25.5207i | 1.48198 | + | 0.961849i | ||||
\(705\) | −29.4627 | + | 47.9925i | −1.10963 | + | 1.80750i | ||||
\(706\) | 2.60063 | − | 21.9810i | 0.0978761 | − | 0.827265i | ||||
\(707\) | −4.68485 | − | 0.616773i | −0.176192 | − | 0.0231961i | ||||
\(708\) | −11.1392 | + | 11.1234i | −0.418637 | + | 0.418042i | ||||
\(709\) | 4.10862 | + | 31.2081i | 0.154302 | + | 1.17204i | 0.876865 | + | 0.480737i | \(0.159631\pi\) |
−0.722562 | + | 0.691306i | \(0.757036\pi\) | |||||||
\(710\) | −27.8929 | − | 27.1697i | −1.04680 | − | 1.01966i | ||||
\(711\) | 3.87354 | + | 18.3681i | 0.145269 | + | 0.688857i | ||||
\(712\) | −20.0436 | + | 9.24345i | −0.751166 | + | 0.346413i | ||||
\(713\) | −0.797635 | + | 2.97682i | −0.0298717 | + | 0.111483i | ||||
\(714\) | 7.64088 | + | 13.6680i | 0.285953 | + | 0.511512i | ||||
\(715\) | −9.95446 | + | 7.63833i | −0.372276 | + | 0.285657i | ||||
\(716\) | −17.5129 | − | 21.6228i | −0.654489 | − | 0.808080i | ||||
\(717\) | −2.47373 | + | 3.04980i | −0.0923830 | + | 0.113897i | ||||
\(718\) | 40.7559 | − | 5.91116i | 1.52100 | − | 0.220603i | ||||
\(719\) | 32.0174i | 1.19405i | 0.802224 | + | 0.597023i | \(0.203650\pi\) | ||||
−0.802224 | + | 0.597023i | \(0.796350\pi\) | |||||||
\(720\) | 36.2229 | + | 27.8768i | 1.34995 | + | 1.03891i | ||||
\(721\) | − | 46.2600i | − | 1.72281i | ||||||
\(722\) | −4.51085 | − | 31.1011i | −0.167876 | − | 1.15746i | ||||
\(723\) | 2.94893 | + | 7.70063i | 0.109672 | + | 0.286390i | ||||
\(724\) | −14.4895 | − | 1.52161i | −0.538497 | − | 0.0565501i | ||||
\(725\) | 42.4382 | − | 32.5639i | 1.57611 | − | 1.20939i | ||||
\(726\) | −49.1018 | − | 29.2628i | −1.82234 | − | 1.08604i | ||||
\(727\) | 2.91435 | − | 10.8765i | 0.108087 | − | 0.403387i | −0.890590 | − | 0.454807i | \(-0.849708\pi\) |
0.998677 | + | 0.0514203i | \(0.0163748\pi\) | |||||||
\(728\) | −2.92505 | + | 3.16515i | −0.108410 | + | 0.117308i | ||||
\(729\) | −15.7651 | − | 21.9194i | −0.583893 | − | 0.811830i | ||||
\(730\) | 0.468053 | − | 0.480513i | 0.0173234 | − | 0.0177846i | ||||
\(731\) | 1.39725 | + | 10.6132i | 0.0516792 | + | 0.392542i | ||||
\(732\) | 10.9507 | − | 18.9360i | 0.404749 | − | 0.699894i | ||||
\(733\) | 26.7412 | + | 3.52054i | 0.987708 | + | 0.130034i | 0.607035 | − | 0.794675i | \(-0.292359\pi\) |
0.380674 | + | 0.924709i | \(0.375692\pi\) | |||||||
\(734\) | −19.8192 | − | 2.34486i | −0.731538 | − | 0.0865505i | ||||
\(735\) | −2.28501 | − | 0.0616652i | −0.0842837 | − | 0.00227455i | ||||
\(736\) | −5.18779 | + | 1.03311i | −0.191224 | + | 0.0380809i | ||||
\(737\) | 20.3288i | 0.748822i | ||||||||
\(738\) | −14.5905 | + | 17.4877i | −0.537084 | + | 0.643732i | ||||
\(739\) | 14.9589 | − | 6.19617i | 0.550271 | − | 0.227930i | −0.0901844 | − | 0.995925i | \(-0.528746\pi\) |
0.640455 | + | 0.767995i | \(0.278746\pi\) | |||||||
\(740\) | −16.1289 | + | 9.88576i | −0.592910 | + | 0.363408i | ||||
\(741\) | 0.648497 | + | 6.21791i | 0.0238231 | + | 0.228421i | ||||
\(742\) | −26.8027 | + | 7.56042i | −0.983958 | + | 0.277552i | ||||
\(743\) | 4.20718 | − | 1.12731i | 0.154346 | − | 0.0413570i | −0.180818 | − | 0.983516i | \(-0.557875\pi\) |
0.335165 | + | 0.942159i | \(0.391208\pi\) | |||||||
\(744\) | 13.8814 | − | 8.24600i | 0.508916 | − | 0.302313i | ||||
\(745\) | −9.07581 | − | 2.43185i | −0.332512 | − | 0.0890963i | ||||
\(746\) | −26.0270 | + | 0.341864i | −0.952916 | + | 0.0125165i | ||||
\(747\) | −9.87465 | − | 14.4171i | −0.361294 | − | 0.527494i | ||||
\(748\) | 11.2446 | + | 25.2498i | 0.411144 | + | 0.923224i | ||||
\(749\) | −0.108151 | + | 0.140945i | −0.00395174 | + | 0.00515001i | ||||
\(750\) | 38.6353 | + | 16.6337i | 1.41076 | + | 0.607376i | ||||
\(751\) | −12.9184 | + | 22.3753i | −0.471398 | + | 0.816486i | −0.999465 | − | 0.0327171i | \(-0.989584\pi\) |
0.528066 | + | 0.849203i | \(0.322917\pi\) | |||||||
\(752\) | −15.4955 | + | 30.4250i | −0.565064 | + | 1.10949i | ||||
\(753\) | −2.16930 | + | 3.53363i | −0.0790538 | + | 0.128773i | ||||
\(754\) | 0.641990 | + | 4.42635i | 0.0233799 | + | 0.161198i | ||||
\(755\) | −54.8120 | + | 22.7039i | −1.99481 | + | 0.826278i | ||||
\(756\) | −25.3956 | − | 12.1853i | −0.923631 | − | 0.443174i | ||||
\(757\) | −10.3858 | + | 25.0735i | −0.377478 | + | 0.911311i | 0.614960 | + | 0.788559i | \(0.289172\pi\) |
−0.992437 | + | 0.122753i | \(0.960828\pi\) | |||||||
\(758\) | 2.81963 | + | 4.73890i | 0.102414 | + | 0.172124i | ||||
\(759\) | 9.22997 | − | 2.20811i | 0.335027 | − | 0.0801492i | ||||
\(760\) | 53.1751 | − | 44.2372i | 1.92886 | − | 1.60465i | ||||
\(761\) | 6.97090 | + | 26.0157i | 0.252695 | + | 0.943070i | 0.969358 | + | 0.245651i | \(0.0790017\pi\) |
−0.716663 | + | 0.697419i | \(0.754332\pi\) | |||||||
\(762\) | 18.7545 | − | 18.2423i | 0.679406 | − | 0.660847i | ||||
\(763\) | 3.67604 | − | 0.483960i | 0.133082 | − | 0.0175205i | ||||
\(764\) | 23.7274 | − | 25.0079i | 0.858426 | − | 0.904752i | ||||
\(765\) | 8.95573 | + | 25.4194i | 0.323795 | + | 0.919042i | ||||
\(766\) | 6.87742 | + | 16.0057i | 0.248491 | + | 0.578308i | ||||
\(767\) | −1.27735 | − | 2.21243i | −0.0461223 | − | 0.0798862i | ||||
\(768\) | 23.2352 | + | 15.1039i | 0.838427 | + | 0.545013i | ||||
\(769\) | 14.3435 | − | 24.8437i | 0.517241 | − | 0.895888i | −0.482558 | − | 0.875864i | \(-0.660292\pi\) |
0.999799 | − | 0.0200243i | \(-0.00637437\pi\) | |||||||
\(770\) | −84.9607 | − | 10.0520i | −3.06177 | − | 0.362247i | ||||
\(771\) | 23.9525 | − | 29.5306i | 0.862629 | − | 1.06352i | ||||
\(772\) | 19.4862 | + | 4.67640i | 0.701323 | + | 0.168307i | ||||
\(773\) | −20.6244 | + | 49.7916i | −0.741806 | + | 1.79088i | −0.143436 | + | 0.989660i | \(0.545815\pi\) |
−0.598371 | + | 0.801219i | \(0.704185\pi\) | |||||||
\(774\) | −13.0491 | − | 14.1606i | −0.469040 | − | 0.508992i | ||||
\(775\) | 22.1589 | − | 22.1589i | 0.795972 | − | 0.795972i | ||||
\(776\) | −4.90034 | − | 28.4956i | −0.175912 | − | 1.02293i | ||||
\(777\) | 8.46281 | − | 8.01804i | 0.303601 | − | 0.287646i | ||||
\(778\) | 10.9682 | − | 19.5871i | 0.393227 | − | 0.702231i | ||||
\(779\) | 20.9814 | + | 27.3435i | 0.751737 | + | 0.979682i | ||||
\(780\) | −5.88807 | + | 4.51142i | −0.210827 | + | 0.161535i | ||||
\(781\) | 33.6041 | + | 25.7854i | 1.20245 | + | 0.922673i | ||||
\(782\) | −2.89697 | − | 1.15563i | −0.103596 | − | 0.0413251i | ||||
\(783\) | −26.4148 | + | 12.5215i | −0.943989 | + | 0.447481i | ||||
\(784\) | −1.38400 | + | 0.0727779i | −0.0494285 | + | 0.00259921i | ||||
\(785\) | 12.2382 | + | 21.1973i | 0.436801 | + | 0.756562i | ||||
\(786\) | 28.1443 | + | 37.7493i | 1.00387 | + | 1.34647i | ||||
\(787\) | 8.10220 | + | 1.06667i | 0.288812 | + | 0.0380228i | 0.273540 | − | 0.961861i | \(-0.411805\pi\) |
0.0152718 | + | 0.999883i | \(0.495139\pi\) | |||||||
\(788\) | 5.68557 | + | 0.597069i | 0.202540 | + | 0.0212697i | ||||
\(789\) | 23.2714 | + | 10.3834i | 0.828482 | + | 0.369659i | ||||
\(790\) | 17.2353 | + | 28.9670i | 0.613204 | + | 1.03060i | ||||
\(791\) | −35.6409 | + | 35.6409i | −1.26725 | + | 1.26725i | ||||
\(792\) | −42.6930 | − | 25.4846i | −1.51703 | − | 0.905557i | ||||
\(793\) | 2.51015 | + | 2.51015i | 0.0891379 | + | 0.0891379i | ||||
\(794\) | 5.49328 | − | 21.6338i | 0.194949 | − | 0.767756i | ||||
\(795\) | −47.6727 | + | 4.97203i | −1.69078 | + | 0.176340i | ||||
\(796\) | −15.5740 | − | 8.45421i | −0.552006 | − | 0.299651i | ||||
\(797\) | 2.47680 | − | 18.8132i | 0.0877328 | − | 0.666397i | −0.889912 | − | 0.456133i | \(-0.849234\pi\) |
0.977645 | − | 0.210264i | \(-0.0674324\pi\) | |||||||
\(798\) | −26.4151 | + | 33.4553i | −0.935084 | + | 1.18431i | ||||
\(799\) | −17.4351 | + | 10.0661i | −0.616809 | + | 0.356115i | ||||
\(800\) | 50.9370 | + | 17.2782i | 1.80090 | + | 0.610877i | ||||
\(801\) | 20.8766 | − | 10.5951i | 0.737637 | − | 0.374359i | ||||
\(802\) | −20.4821 | − | 47.6676i | −0.723249 | − | 1.68320i | ||||
\(803\) | −0.444206 | + | 0.578901i | −0.0156757 | + | 0.0204290i | ||||
\(804\) | −0.00855553 | + | 12.0180i | −0.000301730 | + | 0.423841i | ||||
\(805\) | 7.65894 | − | 5.87691i | 0.269942 | − | 0.207134i | ||||
\(806\) | 0.711348 | + | 2.52182i | 0.0250562 | + | 0.0888274i | ||||
\(807\) | −17.6980 | + | 4.23394i | −0.622999 | + | 0.149042i | ||||
\(808\) | −4.80953 | − | 1.08762i | −0.169199 | − | 0.0382622i | ||||
\(809\) | 24.5646 | + | 24.5646i | 0.863646 | + | 0.863646i | 0.991760 | − | 0.128114i | \(-0.0408922\pi\) |
−0.128114 | + | 0.991760i | \(0.540892\pi\) | |||||||
\(810\) | −39.5027 | − | 28.1052i | −1.38798 | − | 0.987515i | ||||
\(811\) | −12.9827 | − | 5.37761i | −0.455884 | − | 0.188834i | 0.142911 | − | 0.989736i | \(-0.454354\pi\) |
−0.598795 | + | 0.800902i | \(0.704354\pi\) | |||||||
\(812\) | −17.9233 | + | 24.6739i | −0.628984 | + | 0.865883i | ||||
\(813\) | 3.75922 | − | 23.6124i | 0.131842 | − | 0.828125i | ||||
\(814\) | 16.1599 | − | 12.7406i | 0.566405 | − | 0.446558i | ||||
\(815\) | 29.5064 | + | 17.0355i | 1.03356 | + | 0.596728i | ||||
\(816\) | 6.63694 | + | 14.9319i | 0.232339 | + | 0.522720i | ||||
\(817\) | −25.2365 | + | 14.5703i | −0.882912 | + | 0.509750i | ||||
\(818\) | −5.41555 | + | 13.5759i | −0.189350 | + | 0.474671i | ||||
\(819\) | 2.97431 | − | 3.47121i | 0.103931 | − | 0.121294i | ||||
\(820\) | −14.6518 | + | 38.1795i | −0.511665 | + | 1.33328i | ||||
\(821\) | −0.0521190 | − | 0.395883i | −0.00181896 | − | 0.0138164i | 0.990511 | − | 0.137431i | \(-0.0438846\pi\) |
−0.992330 | + | 0.123615i | \(0.960551\pi\) | |||||||
\(822\) | 38.8239 | − | 21.7039i | 1.35414 | − | 0.757010i | ||||
\(823\) | −7.73521 | + | 2.07264i | −0.269632 | + | 0.0722478i | −0.391102 | − | 0.920347i | \(-0.627906\pi\) |
0.121470 | + | 0.992595i | \(0.461239\pi\) | |||||||
\(824\) | 4.41075 | − | 48.0718i | 0.153656 | − | 1.67466i | ||||
\(825\) | −92.5070 | − | 27.4824i | −3.22068 | − | 0.956814i | ||||
\(826\) | 4.28701 | − | 16.8833i | 0.149164 | − | 0.587444i | ||||
\(827\) | 29.3625 | + | 12.1624i | 1.02104 | + | 0.422927i | 0.829469 | − | 0.558553i | \(-0.188643\pi\) |
0.191566 | + | 0.981480i | \(0.438643\pi\) | |||||||
\(828\) | 5.45748 | − | 1.30150i | 0.189661 | − | 0.0452303i | ||||
\(829\) | 1.88414 | + | 4.54871i | 0.0654387 | + | 0.157983i | 0.953216 | − | 0.302291i | \(-0.0977513\pi\) |
−0.887777 | + | 0.460274i | \(0.847751\pi\) | |||||||
\(830\) | −25.1417 | − | 18.7725i | −0.872682 | − | 0.651602i | ||||
\(831\) | −0.712131 | + | 26.3881i | −0.0247036 | + | 0.915391i | ||||
\(832\) | −3.34140 | + | 3.01022i | −0.115842 | + | 0.104361i | ||||
\(833\) | −0.707698 | − | 0.408590i | −0.0245203 | − | 0.0141568i | ||||
\(834\) | 17.0791 | + | 2.48954i | 0.591402 | + | 0.0862059i | ||||
\(835\) | −24.8521 | − | 19.0697i | −0.860043 | − | 0.659934i | ||||
\(836\) | −51.7890 | + | 54.5839i | −1.79116 | + | 1.88782i | ||||
\(837\) | −14.3848 | + | 9.29258i | −0.497212 | + | 0.321198i | ||||
\(838\) | 10.2310 | − | 10.5033i | 0.353423 | − | 0.362831i | ||||
\(839\) | −6.64892 | + | 24.8141i | −0.229546 | + | 0.856678i | 0.750986 | + | 0.660318i | \(0.229579\pi\) |
−0.980532 | + | 0.196360i | \(0.937088\pi\) | |||||||
\(840\) | −50.2227 | − | 5.97825i | −1.73285 | − | 0.206269i | ||||
\(841\) | 0.685685 | + | 2.55901i | 0.0236443 | + | 0.0882418i | ||||
\(842\) | −15.5518 | − | 8.70852i | −0.535950 | − | 0.300115i | ||||
\(843\) | −5.62663 | + | 12.6105i | −0.193792 | + | 0.434327i | ||||
\(844\) | −4.10063 | − | 25.8756i | −0.141150 | − | 0.890674i | ||||
\(845\) | 18.4886 | + | 44.6355i | 0.636028 | + | 1.53551i | ||||
\(846\) | 15.2129 | − | 32.8646i | 0.523030 | − | 1.12991i | ||||
\(847\) | 63.2497 | 2.17328 | ||||||||
\(848\) | −28.5733 | + | 5.30098i | −0.981211 | + | 0.182036i | ||||
\(849\) | −30.5120 | + | 16.5351i | −1.04717 | + | 0.567482i | ||||
\(850\) | 19.6357 | + | 24.9055i | 0.673499 | + | 0.854252i | ||||
\(851\) | −0.303091 | + | 2.30220i | −0.0103898 | + | 0.0789185i | ||||
\(852\) | 19.8552 | + | 15.2579i | 0.680227 | + | 0.522727i | ||||
\(853\) | −15.5783 | + | 2.05093i | −0.533392 | + | 0.0702224i | −0.392411 | − | 0.919790i | \(-0.628359\pi\) |
−0.140981 | + | 0.990012i | \(0.545026\pi\) | |||||||
\(854\) | 0.317901 | + | 24.2026i | 0.0108783 | + | 0.828196i | ||||
\(855\) | −54.6001 | + | 49.0041i | −1.86728 | + | 1.67591i | ||||
\(856\) | −0.125825 | + | 0.136153i | −0.00430061 | + | 0.00465362i | ||||
\(857\) | −36.5591 | − | 9.79597i | −1.24883 | − | 0.334624i | −0.426948 | − | 0.904276i | \(-0.640411\pi\) |
−0.821886 | + | 0.569652i | \(0.807078\pi\) | |||||||
\(858\) | 5.78406 | − | 5.62606i | 0.197464 | − | 0.192071i | ||||
\(859\) | −19.5549 | − | 25.4844i | −0.667203 | − | 0.869516i | 0.330021 | − | 0.943974i | \(-0.392944\pi\) |
−0.997224 | + | 0.0744572i | \(0.976278\pi\) | |||||||
\(860\) | −30.3874 | − | 16.4955i | −1.03620 | − | 0.562493i | ||||
\(861\) | 3.96228 | − | 24.8879i | 0.135034 | − | 0.848177i | ||||
\(862\) | −10.1480 | − | 7.57721i | −0.345644 | − | 0.258081i | ||||
\(863\) | 6.42779 | 0.218804 | 0.109402 | − | 0.993998i | \(-0.465106\pi\) | ||||
0.109402 | + | 0.993998i | \(0.465106\pi\) | |||||||
\(864\) | −25.2285 | − | 15.0839i | −0.858290 | − | 0.513165i | ||||
\(865\) | 95.3115 | 3.24069 | ||||||||
\(866\) | −9.97443 | − | 7.44758i | −0.338945 | − | 0.253079i | ||||
\(867\) | 3.11463 | − | 19.5636i | 0.105778 | − | 0.664415i | ||||
\(868\) | −8.52349 | + | 15.7016i | −0.289306 | + | 0.532948i | ||||
\(869\) | −22.3208 | − | 29.0891i | −0.757183 | − | 0.986780i | ||||
\(870\) | −37.6256 | + | 36.5978i | −1.27563 | + | 1.24078i | ||||
\(871\) | −1.88388 | − | 0.504784i | −0.0638328 | − | 0.0171039i | ||||
\(872\) | 3.86616 | − | 0.152416i | 0.130925 | − | 0.00516146i | ||||
\(873\) | 6.32817 | + | 30.0078i | 0.214176 | + | 1.01561i | ||||
\(874\) | −0.111512 | − | 8.48973i | −0.00377196 | − | 0.287170i | ||||
\(875\) | −46.1468 | + | 6.07534i | −1.56005 | + | 0.205384i | ||||
\(876\) | −0.262849 | + | 0.342046i | −0.00888083 | + | 0.0115567i | ||||
\(877\) | 6.77088 | − | 51.4300i | 0.228637 | − | 1.73667i | −0.364179 | − | 0.931329i | \(-0.618650\pi\) |
0.592816 | − | 0.805338i | \(-0.298016\pi\) | |||||||
\(878\) | −2.54826 | − | 3.23215i | −0.0859994 | − | 0.109080i | ||||
\(879\) | 39.2603 | − | 21.2759i | 1.32422 | − | 0.717619i | ||||
\(880\) | −87.3299 | − | 18.5464i | −2.94389 | − | 0.625198i | ||||
\(881\) | 47.7147 | 1.60755 | 0.803775 | − | 0.594933i | \(-0.202822\pi\) | ||||
0.803775 | + | 0.594933i | \(0.202822\pi\) | |||||||
\(882\) | 1.46402 | − | 0.132227i | 0.0492961 | − | 0.00445231i | ||||
\(883\) | −12.1855 | − | 29.4183i | −0.410074 | − | 0.990005i | −0.985117 | − | 0.171883i | \(-0.945015\pi\) |
0.575044 | − | 0.818123i | \(-0.304985\pi\) | |||||||
\(884\) | −2.61912 | + | 0.415065i | −0.0880905 | + | 0.0139602i | ||||
\(885\) | 12.2161 | − | 27.3789i | 0.410641 | − | 0.920331i | ||||
\(886\) | −22.6134 | − | 12.6628i | −0.759711 | − | 0.425414i | ||||
\(887\) | −0.180710 | − | 0.674420i | −0.00606766 | − | 0.0226448i | 0.962826 | − | 0.270124i | \(-0.0870646\pi\) |
−0.968893 | + | 0.247479i | \(0.920398\pi\) | |||||||
\(888\) | 9.55876 | − | 7.52517i | 0.320771 | − | 0.252528i | ||||
\(889\) | −7.49292 | + | 27.9639i | −0.251304 | + | 0.937881i | ||||
\(890\) | 29.3314 | − | 30.1122i | 0.983192 | − | 1.00936i | ||||
\(891\) | 46.2653 | + | 25.3121i | 1.54995 | + | 0.847988i | ||||
\(892\) | 3.01393 | + | 2.85961i | 0.100914 | + | 0.0957468i | ||||
\(893\) | −43.4792 | − | 33.3627i | −1.45497 | − | 1.11644i | ||||
\(894\) | 5.97918 | + | 0.871556i | 0.199974 | + | 0.0291492i | ||||
\(895\) | 45.8934 | + | 26.4966i | 1.53405 | + | 0.885682i | ||||
\(896\) | −30.6418 | − | 1.19442i | −1.02367 | − | 0.0399026i | ||||
\(897\) | −0.0245627 | + | 0.910173i | −0.000820126 | + | 0.0303898i | ||||
\(898\) | 6.01224 | + | 4.48914i | 0.200631 | + | 0.149805i | ||||
\(899\) | 7.09541 | + | 17.1298i | 0.236645 | + | 0.571312i | ||||
\(900\) | −54.6765 | − | 16.2859i | −1.82255 | − | 0.542864i | ||||
\(901\) | −15.8309 | − | 6.55739i | −0.527405 | − | 0.218458i | ||||
\(902\) | 10.9481 | − | 43.1164i | 0.364533 | − | 1.43562i | ||||
\(903\) | 20.4253 | + | 6.06803i | 0.679711 | + | 0.201931i | ||||
\(904\) | −40.4351 | + | 33.6386i | −1.34485 | + | 1.11880i | ||||
\(905\) | 26.8014 | − | 7.18141i | 0.890909 | − | 0.238718i | ||||
\(906\) | 33.3022 | − | 18.6171i | 1.10639 | − | 0.618510i | ||||
\(907\) | 1.75865 | + | 13.3583i | 0.0583950 | + | 0.443554i | 0.995519 | + | 0.0945582i | \(0.0301439\pi\) |
−0.937124 | + | 0.348996i | \(0.886523\pi\) | |||||||
\(908\) | 9.45280 | + | 3.62763i | 0.313702 | + | 0.120387i | ||||
\(909\) | 5.14098 | + | 0.961339i | 0.170516 | + | 0.0318856i | ||||
\(910\) | 3.04117 | − | 7.62373i | 0.100814 | − | 0.252724i | ||||
\(911\) | 25.4537 | − | 14.6957i | 0.843319 | − | 0.486890i | −0.0150720 | − | 0.999886i | \(-0.504798\pi\) |
0.858391 | + | 0.512996i | \(0.171464\pi\) | |||||||
\(912\) | −30.6395 | + | 32.2470i | −1.01458 | + | 1.06781i | ||||
\(913\) | 29.5589 | + | 17.0658i | 0.978257 | + | 0.564797i | ||||
\(914\) | −4.77474 | + | 3.76444i | −0.157934 | + | 0.124517i | ||||
\(915\) | −6.54994 | + | 41.1415i | −0.216534 | + | 1.36010i | ||||
\(916\) | −3.79187 | − | 2.75444i | −0.125287 | − | 0.0910093i | ||||
\(917\) | −48.1363 | − | 19.9387i | −1.58960 | − | 0.658434i | ||||
\(918\) | −7.62893 | − | 15.5623i | −0.251792 | − | 0.513632i | ||||
\(919\) | 27.0012 | + | 27.0012i | 0.890689 | + | 0.890689i | 0.994588 | − | 0.103899i | \(-0.0331318\pi\) |
−0.103899 | + | 0.994588i | \(0.533132\pi\) | |||||||
\(920\) | 8.51926 | − | 5.37683i | 0.280872 | − | 0.177269i | ||||
\(921\) | 5.74415 | − | 1.37419i | 0.189276 | − | 0.0452810i | ||||
\(922\) | 8.70119 | + | 30.8469i | 0.286559 | + | 1.01589i | ||||
\(923\) | −3.22396 | + | 2.47383i | −0.106118 | + | 0.0814271i | ||||
\(924\) | 55.0177 | + | 0.0391668i | 1.80995 | + | 0.00128849i | ||||
\(925\) | 14.3740 | − | 18.7326i | 0.472614 | − | 0.615923i | ||||
\(926\) | −3.56936 | − | 8.30689i | −0.117296 | − | 0.272981i | ||||
\(927\) | −2.76156 | + | 51.1275i | −0.0907014 | + | 1.67925i | ||||
\(928\) | −20.9778 | + | 23.9313i | −0.688631 | + | 0.785584i | ||||
\(929\) | −25.9185 | + | 14.9640i | −0.850358 | + | 0.490954i | −0.860772 | − | 0.508991i | \(-0.830019\pi\) |
0.0104136 | + | 0.999946i | \(0.496685\pi\) | |||||||
\(930\) | −19.0552 | + | 24.1339i | −0.624845 | + | 0.791381i | ||||
\(931\) | 0.290360 | − | 2.20550i | 0.00951616 | − | 0.0722824i | ||||
\(932\) | 14.6088 | − | 26.9117i | 0.478526 | − | 0.881521i | ||||
\(933\) | −33.9623 | + | 3.54210i | −1.11188 | + | 0.115963i | ||||
\(934\) | 7.34412 | − | 28.9229i | 0.240307 | − | 0.946387i | ||||
\(935\) | −37.2229 | − | 37.2229i | −1.21732 | − | 1.21732i | ||||
\(936\) | 3.42178 | − | 3.32357i | 0.111844 | − | 0.108634i | ||||
\(937\) | 9.42308 | − | 9.42308i | 0.307839 | − | 0.307839i | −0.536232 | − | 0.844071i | \(-0.680153\pi\) |
0.844071 | + | 0.536232i | \(0.180153\pi\) | |||||||
\(938\) | −6.79981 | − | 11.4283i | −0.222022 | − | 0.373148i | ||||
\(939\) | −36.5180 | − | 16.2939i | −1.19172 | − | 0.531731i | ||||
\(940\) | 6.79140 | − | 64.6709i | 0.221511 | − | 2.10933i | ||||
\(941\) | 42.5197 | + | 5.59783i | 1.38610 | + | 0.182484i | 0.786389 | − | 0.617731i | \(-0.211948\pi\) |
0.599713 | + | 0.800215i | \(0.295281\pi\) | |||||||
\(942\) | −9.40830 | − | 12.6191i | −0.306539 | − | 0.411154i | ||||
\(943\) | 2.50984 | + | 4.34717i | 0.0817316 | + | 0.141563i | ||||
\(944\) | 6.06468 | − | 17.1358i | 0.197389 | − | 0.557722i | ||||
\(945\) | 53.4696 | + | 4.33736i | 1.73937 | + | 0.141094i | ||||
\(946\) | 34.9346 | + | 13.9357i | 1.13582 | + | 0.453088i | ||||
\(947\) | −22.5594 | − | 17.3104i | −0.733082 | − | 0.562513i | 0.173353 | − | 0.984860i | \(-0.444540\pi\) |
−0.906434 | + | 0.422346i | \(0.861207\pi\) | |||||||
\(948\) | −13.1834 | − | 17.2062i | −0.428175 | − | 0.558832i | ||||
\(949\) | −0.0426168 | − | 0.0555394i | −0.00138340 | − | 0.00180288i | ||||
\(950\) | −42.1818 | + | 75.3288i | −1.36856 | + | 2.44399i | ||||
\(951\) | −26.3154 | + | 24.9324i | −0.853337 | + | 0.808489i | ||||
\(952\) | −14.7672 | − | 10.4335i | −0.478609 | − | 0.338152i | ||||
\(953\) | 8.16685 | − | 8.16685i | 0.264550 | − | 0.264550i | −0.562349 | − | 0.826900i | \(-0.690102\pi\) |
0.826900 | + | 0.562349i | \(0.190102\pi\) | |||||||
\(954\) | 30.0742 | − | 6.75591i | 0.973689 | − | 0.218731i | ||||
\(955\) | −25.1245 | + | 60.6559i | −0.813010 | + | 1.96278i | ||||
\(956\) | 1.05815 | − | 4.40921i | 0.0342229 | − | 0.142604i | ||||
\(957\) | 35.9679 | − | 44.3441i | 1.16268 | − | 1.43344i | ||||
\(958\) | 56.5412 | + | 6.68956i | 1.82676 | + | 0.216130i | ||||
\(959\) | −24.6085 | + | 42.6233i | −0.794652 | + | 1.37638i | ||||
\(960\) | −51.6197 | − | 11.0010i | −1.66602 | − | 0.355055i | ||||
\(961\) | −10.0690 | − | 17.4400i | −0.324806 | − | 0.562580i | ||||
\(962\) | 0.779411 | + | 1.81391i | 0.0251292 | + | 0.0584827i | ||||
\(963\) | 0.127944 | − | 0.149319i | 0.00412295 | − | 0.00481173i | ||||
\(964\) | −6.90732 | − | 6.55364i | −0.222470 | − | 0.211079i | ||||
\(965\) | −37.8386 | + | 4.98154i | −1.21807 | + | 0.160361i | ||||
\(966\) | −4.45024 | + | 4.32868i | −0.143184 | + | 0.139273i | ||||
\(967\) | −8.81018 | − | 32.8801i | −0.283316 | − | 1.05735i | −0.950061 | − | 0.312065i | \(-0.898979\pi\) |
0.666744 | − | 0.745287i | \(-0.267687\pi\) | |||||||
\(968\) | 65.7269 | + | 6.03066i | 2.11254 | + | 0.193833i | ||||
\(969\) | −25.5083 | + | 6.10242i | −0.819446 | + | 0.196038i | ||||
\(970\) | 28.1572 | + | 47.3232i | 0.904072 | + | 1.51946i | ||||
\(971\) | −4.15011 | + | 10.0193i | −0.133183 | + | 0.321533i | −0.976376 | − | 0.216078i | \(-0.930673\pi\) |
0.843193 | + | 0.537612i | \(0.180673\pi\) | |||||||
\(972\) | 27.3404 | + | 14.9834i | 0.876943 | + | 0.480594i | ||||
\(973\) | −17.6446 | + | 7.30862i | −0.565659 | + | 0.234303i | ||||
\(974\) | −2.08801 | − | 14.3962i | −0.0669041 | − | 0.461286i | ||||
\(975\) | 4.84384 | − | 7.89024i | 0.155127 | − | 0.252690i | ||||
\(976\) | −1.97729 | + | 25.1808i | −0.0632916 | + | 0.806019i | ||||
\(977\) | −14.8876 | + | 25.7861i | −0.476296 | + | 0.824970i | −0.999631 | − | 0.0271575i | \(-0.991354\pi\) |
0.523335 | + | 0.852127i | \(0.324688\pi\) | |||||||
\(978\) | −20.1246 | − | 8.66422i | −0.643512 | − | 0.277051i | ||||
\(979\) | −27.8370 | + | 36.2779i | −0.889674 | + | 1.15945i | ||||
\(980\) | 2.41117 | − | 1.07378i | 0.0770220 | − | 0.0343006i | ||||
\(981\) | −4.09173 | + | 0.315436i | −0.130639 | + | 0.0100711i | ||||
\(982\) | 5.19975 | − | 0.0682986i | 0.165931 | − | 0.00217949i | ||||
\(983\) | 25.2740 | + | 6.77215i | 0.806116 | + | 0.215998i | 0.638267 | − | 0.769815i | \(-0.279651\pi\) |
0.167848 | + | 0.985813i | \(0.446318\pi\) | |||||||
\(984\) | 6.49045 | − | 25.4849i | 0.206908 | − | 0.812428i | ||||
\(985\) | −10.5167 | + | 2.81794i | −0.335090 | + | 0.0897870i | ||||
\(986\) | −18.0599 | + | 5.09427i | −0.575144 | + | 0.162235i | ||||
\(987\) | 4.15686 | + | 39.8567i | 0.132314 | + | 1.26865i | ||||
\(988\) | −3.77234 | − | 6.15467i | −0.120014 | − | 0.195806i | ||||
\(989\) | −3.92105 | + | 1.62415i | −0.124682 | + | 0.0516450i | ||||
\(990\) | 93.3003 | + | 16.1815i | 2.96528 | + | 0.514281i | ||||
\(991\) | − | 39.6985i | − | 1.26107i | −0.776163 | − | 0.630533i | \(-0.782837\pi\) | ||
0.776163 | − | 0.630533i | \(-0.217163\pi\) | |||||||
\(992\) | −10.3544 | + | 15.5039i | −0.328753 | + | 0.492250i | ||||
\(993\) | 30.8034 | + | 0.831287i | 0.977516 | + | 0.0263801i | ||||
\(994\) | −27.5163 | − | 3.25553i | −0.872764 | − | 0.103259i | ||||
\(995\) | 33.4603 | + | 4.40513i | 1.06076 | + | 0.139652i | ||||
\(996\) | 17.4674 | + | 10.1014i | 0.553476 | + | 0.320075i | ||||
\(997\) | 7.08645 | + | 53.8269i | 0.224430 | + | 1.70472i | 0.618622 | + | 0.785688i | \(0.287691\pi\) |
−0.394192 | + | 0.919028i | \(0.628976\pi\) | |||||||
\(998\) | 41.1665 | − | 42.2623i | 1.30310 | − | 1.33779i | ||||
\(999\) | −9.83192 | + | 8.35651i | −0.311068 | + | 0.264388i |
(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 | 288.2.bf.a.59.16 | ✓ | 368 | |
3.2 | odd | 2 | 864.2.bn.a.827.31 | 368 | |||
9.2 | odd | 6 | inner | 288.2.bf.a.155.2 | yes | 368 | |
9.7 | even | 3 | 864.2.bn.a.251.45 | 368 | |||
32.19 | odd | 8 | inner | 288.2.bf.a.275.2 | yes | 368 | |
96.83 | even | 8 | 864.2.bn.a.179.45 | 368 | |||
288.83 | even | 24 | inner | 288.2.bf.a.83.16 | yes | 368 | |
288.115 | odd | 24 | 864.2.bn.a.467.31 | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.59.16 | ✓ | 368 | 1.1 | even | 1 | trivial | |
288.2.bf.a.83.16 | yes | 368 | 288.83 | even | 24 | inner | |
288.2.bf.a.155.2 | yes | 368 | 9.2 | odd | 6 | inner | |
288.2.bf.a.275.2 | yes | 368 | 32.19 | odd | 8 | inner | |
864.2.bn.a.179.45 | 368 | 96.83 | even | 8 | |||
864.2.bn.a.251.45 | 368 | 9.7 | even | 3 | |||
864.2.bn.a.467.31 | 368 | 288.115 | odd | 24 | |||
864.2.bn.a.827.31 | 368 | 3.2 | odd | 2 |