Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [84,2,Mod(19,84)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(84, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("84.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 84 = 2^{2} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 84.o (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.670743376979\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.562828176.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + x^{6} + 2x^{5} - 6x^{4} + 4x^{3} + 4x^{2} - 16x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Root | \(0.856419 + 1.12541i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 84.19 |
Dual form | 84.2.o.a.31.2 |
$q$-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 \(\left(\mathbb{Z}/84\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(43\) | \(73\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.546424 | − | 1.30439i | −0.386380 | − | 0.922340i | ||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | −1.40284 | + | 1.42549i | −0.701421 | + | 0.712747i | ||||
\(5\) | −3.33878 | − | 1.92764i | −1.49315 | − | 0.862069i | −0.493178 | − | 0.869929i | \(-0.664165\pi\) |
−0.999969 | + | 0.00785986i | \(0.997498\pi\) | |||||||
\(6\) | −0.856419 | + | 1.12541i | −0.349632 | + | 0.459446i | ||||
\(7\) | 1.59285 | − | 2.11254i | 0.602040 | − | 0.798466i | ||||
\(8\) | 2.62594 | + | 1.05092i | 0.928410 | + | 0.371558i | ||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | −0.690004 | + | 5.40836i | −0.218199 | + | 1.71027i | ||||
\(11\) | 1.17975 | − | 0.681127i | 0.355707 | − | 0.205367i | −0.311489 | − | 0.950250i | \(-0.600828\pi\) |
0.667196 | + | 0.744882i | \(0.267494\pi\) | |||||||
\(12\) | 1.93594 | + | 0.502151i | 0.558856 | + | 0.144958i | ||||
\(13\) | − | 0.369798i | − | 0.102563i | −0.998684 | − | 0.0512817i | \(-0.983669\pi\) | ||
0.998684 | − | 0.0512817i | \(-0.0163306\pi\) | |||||||
\(14\) | −3.62594 | − | 0.923343i | −0.969073 | − | 0.246774i | ||||
\(15\) | 3.85529i | 0.995431i | ||||||||
\(16\) | −0.0640649 | − | 3.99949i | −0.0160162 | − | 0.999872i | ||||
\(17\) | 3.89853 | − | 2.25082i | 0.945533 | − | 0.545904i | 0.0538425 | − | 0.998549i | \(-0.482853\pi\) |
0.891690 | + | 0.452646i | \(0.149520\pi\) | |||||||
\(18\) | 1.40284 | + | 0.178976i | 0.330653 | + | 0.0421851i | ||||
\(19\) | 0.0330925 | − | 0.0573178i | 0.00759193 | − | 0.0131496i | −0.862204 | − | 0.506560i | \(-0.830917\pi\) |
0.869796 | + | 0.493411i | \(0.164250\pi\) | |||||||
\(20\) | 7.43162 | − | 2.05523i | 1.66176 | − | 0.459562i | ||||
\(21\) | −2.62594 | − | 0.323174i | −0.573027 | − | 0.0705224i | ||||
\(22\) | −1.53309 | − | 1.16666i | −0.326856 | − | 0.248733i | ||||
\(23\) | 2.77902 | + | 1.60447i | 0.579466 | + | 0.334555i | 0.760921 | − | 0.648844i | \(-0.224747\pi\) |
−0.181455 | + | 0.983399i | \(0.558081\pi\) | |||||||
\(24\) | −0.402843 | − | 2.79959i | −0.0822299 | − | 0.571464i | ||||
\(25\) | 4.93162 | + | 8.54182i | 0.986325 | + | 1.70836i | ||||
\(26\) | −0.482359 | + | 0.202066i | −0.0945983 | + | 0.0396284i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 0.776903 | + | 5.23416i | 0.146821 | + | 0.989163i | ||||
\(29\) | −3.11951 | −0.579278 | −0.289639 | − | 0.957136i | \(-0.593535\pi\) | ||||
−0.289639 | + | 0.957136i | \(0.593535\pi\) | |||||||
\(30\) | 5.02878 | − | 2.10662i | 0.918126 | − | 0.384614i | ||||
\(31\) | −3.01852 | − | 5.22824i | −0.542143 | − | 0.939019i | −0.998781 | − | 0.0493663i | \(-0.984280\pi\) |
0.456638 | − | 0.889653i | \(-0.349054\pi\) | |||||||
\(32\) | −5.18187 | + | 2.26898i | −0.916033 | + | 0.401103i | ||||
\(33\) | −1.17975 | − | 0.681127i | −0.205367 | − | 0.118569i | ||||
\(34\) | −5.06618 | − | 3.85529i | −0.868844 | − | 0.661177i | ||||
\(35\) | −9.39039 | + | 3.98287i | −1.58727 | + | 0.673228i | ||||
\(36\) | −0.533092 | − | 1.92764i | −0.0888487 | − | 0.321274i | ||||
\(37\) | 2.74593 | − | 4.75609i | 0.451428 | − | 0.781897i | −0.547047 | − | 0.837102i | \(-0.684248\pi\) |
0.998475 | + | 0.0552054i | \(0.0175814\pi\) | |||||||
\(38\) | −0.0928470 | − | 0.0118455i | −0.0150618 | − | 0.00192160i | ||||
\(39\) | −0.320254 | + | 0.184899i | −0.0512817 | + | 0.0296075i | ||||
\(40\) | −6.74162 | − | 8.57068i | −1.06594 | − | 1.35514i | ||||
\(41\) | 8.45017i | 1.31970i | 0.751399 | + | 0.659848i | \(0.229379\pi\) | ||||
−0.751399 | + | 0.659848i | \(0.770621\pi\) | |||||||
\(42\) | 1.01333 | + | 3.60183i | 0.156360 | + | 0.555774i | ||||
\(43\) | 6.30324i | 0.961236i | 0.876930 | + | 0.480618i | \(0.159588\pi\) | ||||
−0.876930 | + | 0.480618i | \(0.840412\pi\) | |||||||
\(44\) | −0.684056 | + | 2.63723i | −0.103125 | + | 0.397578i | ||||
\(45\) | 3.33878 | − | 1.92764i | 0.497716 | − | 0.287356i | ||||
\(46\) | 0.574323 | − | 4.50164i | 0.0846794 | − | 0.663730i | ||||
\(47\) | −0.712838 | + | 1.23467i | −0.103978 | + | 0.180095i | −0.913320 | − | 0.407242i | \(-0.866491\pi\) |
0.809342 | + | 0.587338i | \(0.199824\pi\) | |||||||
\(48\) | −3.43162 | + | 2.05523i | −0.495312 | + | 0.296646i | ||||
\(49\) | −1.92568 | − | 6.72992i | −0.275097 | − | 0.961417i | ||||
\(50\) | 8.44708 | − | 11.1002i | 1.19460 | − | 1.56980i | ||||
\(51\) | −3.89853 | − | 2.25082i | −0.545904 | − | 0.315178i | ||||
\(52\) | 0.527144 | + | 0.518768i | 0.0731018 | + | 0.0719402i | ||||
\(53\) | 1.27259 | + | 2.20420i | 0.174804 | + | 0.302770i | 0.940093 | − | 0.340917i | \(-0.110737\pi\) |
−0.765289 | + | 0.643686i | \(0.777404\pi\) | |||||||
\(54\) | −0.546424 | − | 1.30439i | −0.0743588 | − | 0.177504i | ||||
\(55\) | −5.25188 | −0.708163 | ||||||||
\(56\) | 6.40284 | − | 3.87345i | 0.855616 | − | 0.517611i | ||||
\(57\) | −0.0661849 | −0.00876641 | ||||||||
\(58\) | 1.70457 | + | 4.06904i | 0.223821 | + | 0.534291i | ||||
\(59\) | 1.71879 | + | 2.97703i | 0.223767 | + | 0.387576i | 0.955949 | − | 0.293533i | \(-0.0948312\pi\) |
−0.732182 | + | 0.681109i | \(0.761498\pi\) | |||||||
\(60\) | −5.49569 | − | 5.40836i | −0.709490 | − | 0.698217i | ||||
\(61\) | 1.23998 | + | 0.715904i | 0.158763 | + | 0.0916621i | 0.577277 | − | 0.816549i | \(-0.304115\pi\) |
−0.418513 | + | 0.908211i | \(0.637449\pi\) | |||||||
\(62\) | −5.17024 | + | 6.79415i | −0.656622 | + | 0.862858i | ||||
\(63\) | 1.03309 | + | 2.43572i | 0.130157 | + | 0.306872i | ||||
\(64\) | 5.79112 | + | 5.51933i | 0.723890 | + | 0.689916i | ||||
\(65\) | −0.712838 | + | 1.23467i | −0.0884167 | + | 0.153142i | ||||
\(66\) | −0.243811 | + | 1.91103i | −0.0300110 | + | 0.235231i | ||||
\(67\) | 8.45877 | − | 4.88367i | 1.03340 | − | 0.596636i | 0.115445 | − | 0.993314i | \(-0.463170\pi\) |
0.917958 | + | 0.396678i | \(0.129837\pi\) | |||||||
\(68\) | −2.26050 | + | 8.71488i | −0.274126 | + | 1.05683i | ||||
\(69\) | − | 3.20894i | − | 0.386311i | ||||||
\(70\) | 10.3263 | + | 10.0724i | 1.23423 | + | 1.20388i | ||||
\(71\) | − | 12.9518i | − | 1.53710i | −0.639792 | − | 0.768549i | \(-0.720979\pi\) | ||
0.639792 | − | 0.768549i | \(-0.279021\pi\) | |||||||
\(72\) | −2.22310 | + | 1.74867i | −0.261994 | + | 0.206083i | ||||
\(73\) | −1.56024 | + | 0.900803i | −0.182612 | + | 0.105431i | −0.588519 | − | 0.808483i | \(-0.700289\pi\) |
0.405907 | + | 0.913914i | \(0.366956\pi\) | |||||||
\(74\) | −7.70422 | − | 0.982912i | −0.895597 | − | 0.114261i | ||||
\(75\) | 4.93162 | − | 8.54182i | 0.569455 | − | 0.986325i | ||||
\(76\) | 0.0352827 | + | 0.127581i | 0.00404720 | + | 0.0146345i | ||||
\(77\) | 0.440245 | − | 3.57719i | 0.0501706 | − | 0.407659i | ||||
\(78\) | 0.416174 | + | 0.316702i | 0.0471224 | + | 0.0358594i | ||||
\(79\) | 10.8156 | + | 6.24438i | 1.21685 | + | 0.702548i | 0.964243 | − | 0.265021i | \(-0.0853790\pi\) |
0.252606 | + | 0.967569i | \(0.418712\pi\) | |||||||
\(80\) | −7.49569 | + | 13.4769i | −0.838044 | + | 1.50676i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 11.0223 | − | 4.61737i | 1.21721 | − | 0.509904i | ||||
\(83\) | 12.2889 | 1.34888 | 0.674442 | − | 0.738327i | \(-0.264384\pi\) | ||||
0.674442 | + | 0.738327i | \(0.264384\pi\) | |||||||
\(84\) | 4.14446 | − | 3.28990i | 0.452198 | − | 0.358957i | ||||
\(85\) | −17.3551 | −1.88243 | ||||||||
\(86\) | 8.22186 | − | 3.44424i | 0.886586 | − | 0.371402i | ||||
\(87\) | 1.55975 | + | 2.70157i | 0.167223 | + | 0.289639i | ||||
\(88\) | 3.81375 | − | 0.548774i | 0.406548 | − | 0.0584995i | ||||
\(89\) | 1.11951 | + | 0.646349i | 0.118668 | + | 0.0685128i | 0.558159 | − | 0.829734i | \(-0.311508\pi\) |
−0.439491 | + | 0.898247i | \(0.644841\pi\) | |||||||
\(90\) | −4.33878 | − | 3.30174i | −0.457347 | − | 0.348034i | ||||
\(91\) | −0.781213 | − | 0.589031i | −0.0818934 | − | 0.0617472i | ||||
\(92\) | −6.18569 | + | 1.71066i | −0.644903 | + | 0.178349i | ||||
\(93\) | −3.01852 | + | 5.22824i | −0.313006 | + | 0.542143i | ||||
\(94\) | 2.00000 | + | 0.255162i | 0.206284 | + | 0.0263179i | ||||
\(95\) | −0.220977 | + | 0.127581i | −0.0226717 | + | 0.0130895i | ||||
\(96\) | 4.55593 | + | 3.35314i | 0.464987 | + | 0.342228i | ||||
\(97\) | − | 2.88422i | − | 0.292848i | −0.989222 | − | 0.146424i | \(-0.953224\pi\) | ||
0.989222 | − | 0.146424i | \(-0.0467764\pi\) | |||||||
\(98\) | −7.72617 | + | 6.18921i | −0.780461 | + | 0.625205i | ||||
\(99\) | 1.36225i | 0.136912i | ||||||||
\(100\) | −19.0946 | − | 4.95284i | −1.90946 | − | 0.495284i | ||||
\(101\) | 5.35949 | − | 3.09430i | 0.533289 | − | 0.307895i | −0.209066 | − | 0.977902i | \(-0.567042\pi\) |
0.742355 | + | 0.670007i | \(0.233709\pi\) | |||||||
\(102\) | −0.805685 | + | 6.31509i | −0.0797747 | + | 0.625287i | ||||
\(103\) | −8.89634 | + | 15.4089i | −0.876583 | + | 1.51829i | −0.0215154 | + | 0.999769i | \(0.506849\pi\) |
−0.855067 | + | 0.518517i | \(0.826484\pi\) | |||||||
\(104\) | 0.388629 | − | 0.971066i | 0.0381082 | − | 0.0952209i | ||||
\(105\) | 8.14446 | + | 6.14088i | 0.794818 | + | 0.599289i | ||||
\(106\) | 2.17975 | − | 2.86438i | 0.211716 | − | 0.278213i | ||||
\(107\) | −5.27683 | − | 3.04658i | −0.510131 | − | 0.294524i | 0.222757 | − | 0.974874i | \(-0.428494\pi\) |
−0.732887 | + | 0.680350i | \(0.761828\pi\) | |||||||
\(108\) | −1.40284 | + | 1.42549i | −0.134989 | + | 0.137168i | ||||
\(109\) | −3.93162 | − | 6.80977i | −0.376581 | − | 0.652258i | 0.613981 | − | 0.789321i | \(-0.289567\pi\) |
−0.990562 | + | 0.137063i | \(0.956234\pi\) | |||||||
\(110\) | 2.86975 | + | 6.85047i | 0.273620 | + | 0.653167i | ||||
\(111\) | −5.49186 | −0.521264 | ||||||||
\(112\) | −8.55113 | − | 6.23523i | −0.808006 | − | 0.589174i | ||||
\(113\) | 4.70669 | 0.442768 | 0.221384 | − | 0.975187i | \(-0.428943\pi\) | ||||
0.221384 | + | 0.975187i | \(0.428943\pi\) | |||||||
\(114\) | 0.0361650 | + | 0.0863307i | 0.00338716 | + | 0.00808561i | ||||
\(115\) | −6.18569 | − | 10.7139i | −0.576819 | − | 0.999080i | ||||
\(116\) | 4.37618 | − | 4.44684i | 0.406318 | − | 0.412879i | ||||
\(117\) | 0.320254 | + | 0.184899i | 0.0296075 | + | 0.0170939i | ||||
\(118\) | 2.94400 | − | 3.86868i | 0.271017 | − | 0.356141i | ||||
\(119\) | 1.45481 | − | 11.8210i | 0.133363 | − | 1.08363i | ||||
\(120\) | −4.05162 | + | 10.1238i | −0.369860 | + | 0.924168i | ||||
\(121\) | −4.57213 | + | 7.91917i | −0.415648 | + | 0.719924i | ||||
\(122\) | 0.256259 | − | 2.00860i | 0.0232006 | − | 0.181850i | ||||
\(123\) | 7.31806 | − | 4.22509i | 0.659848 | − | 0.380963i | ||||
\(124\) | 11.6873 | + | 3.03151i | 1.04955 | + | 0.272237i | ||||
\(125\) | − | 18.7492i | − | 1.67698i | ||||||
\(126\) | 2.61261 | − | 2.67848i | 0.232750 | − | 0.238618i | ||||
\(127\) | − | 2.70312i | − | 0.239863i | −0.992782 | − | 0.119931i | \(-0.961733\pi\) | ||
0.992782 | − | 0.119931i | \(-0.0382675\pi\) | |||||||
\(128\) | 4.03493 | − | 10.5697i | 0.356641 | − | 0.934242i | ||||
\(129\) | 5.45877 | − | 3.15162i | 0.480618 | − | 0.277485i | ||||
\(130\) | 2.00000 | + | 0.255162i | 0.175412 | + | 0.0223792i | ||||
\(131\) | −3.88644 | + | 6.73151i | −0.339560 | + | 0.588135i | −0.984350 | − | 0.176225i | \(-0.943611\pi\) |
0.644790 | + | 0.764360i | \(0.276945\pi\) | |||||||
\(132\) | 2.62594 | − | 0.726207i | 0.228559 | − | 0.0632082i | ||||
\(133\) | −0.0683751 | − | 0.161208i | −0.00592888 | − | 0.0139785i | ||||
\(134\) | −10.9923 | − | 8.36494i | −0.949587 | − | 0.722621i | ||||
\(135\) | −3.33878 | − | 1.92764i | −0.287356 | − | 0.165905i | ||||
\(136\) | 12.6028 | − | 1.81345i | 1.08068 | − | 0.155502i | ||||
\(137\) | −1.42568 | − | 2.46934i | −0.121804 | − | 0.210970i | 0.798675 | − | 0.601762i | \(-0.205535\pi\) |
−0.920479 | + | 0.390792i | \(0.872201\pi\) | |||||||
\(138\) | −4.18569 | + | 1.75344i | −0.356310 | + | 0.149263i | ||||
\(139\) | −7.15656 | −0.607011 | −0.303506 | − | 0.952830i | \(-0.598157\pi\) | ||||
−0.303506 | + | 0.952830i | \(0.598157\pi\) | |||||||
\(140\) | 7.49569 | − | 18.9733i | 0.633501 | − | 1.60354i | ||||
\(141\) | 1.42568 | 0.120064 | ||||||||
\(142\) | −16.8942 | + | 7.07717i | −1.41773 | + | 0.593903i | ||||
\(143\) | −0.251879 | − | 0.436267i | −0.0210632 | − | 0.0364825i | ||||
\(144\) | 3.49569 | + | 1.94426i | 0.291307 | + | 0.162022i | ||||
\(145\) | 10.4153 | + | 6.01330i | 0.864948 | + | 0.499378i | ||||
\(146\) | 2.02754 | + | 1.54293i | 0.167801 | + | 0.127694i | ||||
\(147\) | −4.86544 | + | 5.03264i | −0.401295 | + | 0.415085i | ||||
\(148\) | 2.92767 | + | 10.5864i | 0.240653 | + | 0.870193i | ||||
\(149\) | −10.6776 | + | 18.4941i | −0.874739 | + | 1.51509i | −0.0176994 | + | 0.999843i | \(0.505634\pi\) |
−0.857040 | + | 0.515250i | \(0.827699\pi\) | |||||||
\(150\) | −13.8366 | − | 1.76529i | −1.12975 | − | 0.144135i | ||||
\(151\) | −19.2373 | + | 11.1067i | −1.56551 | + | 0.903848i | −0.568828 | + | 0.822457i | \(0.692603\pi\) |
−0.996682 | + | 0.0813911i | \(0.974064\pi\) | |||||||
\(152\) | 0.147136 | − | 0.115735i | 0.0119343 | − | 0.00938739i | ||||
\(153\) | 4.50164i | 0.363936i | ||||||||
\(154\) | −4.90660 | + | 1.38041i | −0.395385 | + | 0.111237i | ||||
\(155\) | 23.2746i | 1.86946i | ||||||||
\(156\) | 0.185694 | − | 0.715904i | 0.0148674 | − | 0.0573182i | ||||
\(157\) | −4.71898 | + | 2.72451i | −0.376616 | + | 0.217439i | −0.676345 | − | 0.736585i | \(-0.736437\pi\) |
0.299729 | + | 0.954024i | \(0.403104\pi\) | |||||||
\(158\) | 2.23519 | − | 17.5198i | 0.177822 | − | 1.39380i | ||||
\(159\) | 1.27259 | − | 2.20420i | 0.100923 | − | 0.174804i | ||||
\(160\) | 21.6749 | + | 2.41318i | 1.71355 | + | 0.190778i | ||||
\(161\) | 7.81607 | − | 3.31513i | 0.615993 | − | 0.261269i | ||||
\(162\) | −0.856419 | + | 1.12541i | −0.0672866 | + | 0.0884205i | ||||
\(163\) | 4.11951 | + | 2.37840i | 0.322665 | + | 0.186291i | 0.652580 | − | 0.757720i | \(-0.273687\pi\) |
−0.329915 | + | 0.944011i | \(0.607020\pi\) | |||||||
\(164\) | −12.0457 | − | 11.8543i | −0.940609 | − | 0.925662i | ||||
\(165\) | 2.62594 | + | 4.54826i | 0.204429 | + | 0.354082i | ||||
\(166\) | −6.71496 | − | 16.0295i | −0.521182 | − | 1.24413i | ||||
\(167\) | 14.0618 | 1.08814 | 0.544068 | − | 0.839041i | \(-0.316884\pi\) | ||||
0.544068 | + | 0.839041i | \(0.316884\pi\) | |||||||
\(168\) | −6.55593 | − | 3.60830i | −0.505801 | − | 0.278386i | ||||
\(169\) | 12.8632 | 0.989481 | ||||||||
\(170\) | 9.48324 | + | 22.6378i | 0.727331 | + | 1.73624i | ||||
\(171\) | 0.0330925 | + | 0.0573178i | 0.00253064 | + | 0.00438320i | ||||
\(172\) | −8.98523 | − | 8.84246i | −0.685118 | − | 0.674231i | ||||
\(173\) | 1.53904 | + | 0.888566i | 0.117011 | + | 0.0675564i | 0.557363 | − | 0.830269i | \(-0.311813\pi\) |
−0.440352 | + | 0.897825i | \(0.645146\pi\) | |||||||
\(174\) | 2.67161 | − | 3.51072i | 0.202534 | − | 0.266147i | ||||
\(175\) | 25.9003 | + | 3.18755i | 1.95788 | + | 0.240956i | ||||
\(176\) | −2.79974 | − | 4.67474i | −0.211038 | − | 0.352372i | ||||
\(177\) | 1.71879 | − | 2.97703i | 0.129192 | − | 0.223767i | ||||
\(178\) | 0.231362 | − | 1.81345i | 0.0173413 | − | 0.135924i | ||||
\(179\) | −2.81607 | + | 1.62586i | −0.210483 | + | 0.121522i | −0.601536 | − | 0.798846i | \(-0.705444\pi\) |
0.391053 | + | 0.920368i | \(0.372111\pi\) | |||||||
\(180\) | −1.93594 | + | 7.46359i | −0.144296 | + | 0.556303i | ||||
\(181\) | 23.5015i | 1.74685i | 0.486954 | + | 0.873427i | \(0.338108\pi\) | ||||
−0.486954 | + | 0.873427i | \(0.661892\pi\) | |||||||
\(182\) | −0.341450 | + | 1.34086i | −0.0253100 | + | 0.0993914i | ||||
\(183\) | − | 1.43181i | − | 0.105842i | ||||||
\(184\) | 5.61137 | + | 7.13378i | 0.413676 | + | 0.525909i | ||||
\(185\) | −18.3361 | + | 10.5864i | −1.34810 | + | 0.778324i | ||||
\(186\) | 8.46903 | + | 1.08049i | 0.620979 | + | 0.0792251i | ||||
\(187\) | 3.06618 | − | 5.31079i | 0.224222 | − | 0.388363i | ||||
\(188\) | −0.760017 | − | 2.74820i | −0.0554300 | − | 0.200433i | ||||
\(189\) | 1.59285 | − | 2.11254i | 0.115863 | − | 0.153665i | ||||
\(190\) | 0.287162 | + | 0.218526i | 0.0208329 | + | 0.0158535i | ||||
\(191\) | −20.6956 | − | 11.9486i | −1.49748 | − | 0.864571i | −0.497485 | − | 0.867473i | \(-0.665743\pi\) |
−0.999996 | + | 0.00290157i | \(0.999076\pi\) | |||||||
\(192\) | 1.88432 | − | 7.77492i | 0.135989 | − | 0.561106i | ||||
\(193\) | −9.93757 | − | 17.2124i | −0.715322 | − | 1.23897i | −0.962835 | − | 0.270090i | \(-0.912947\pi\) |
0.247513 | − | 0.968885i | \(-0.420387\pi\) | |||||||
\(194\) | −3.76214 | + | 1.57601i | −0.270106 | + | 0.113151i | ||||
\(195\) | 1.42568 | 0.102095 | ||||||||
\(196\) | 12.2949 | + | 6.69597i | 0.878205 | + | 0.478284i | ||||
\(197\) | 19.0198 | 1.35511 | 0.677553 | − | 0.735474i | \(-0.263041\pi\) | ||||
0.677553 | + | 0.735474i | \(0.263041\pi\) | |||||||
\(198\) | 1.77690 | − | 0.744367i | 0.126279 | − | 0.0528999i | ||||
\(199\) | 7.42568 | + | 12.8616i | 0.526392 | + | 0.911738i | 0.999527 | + | 0.0307481i | \(0.00978898\pi\) |
−0.473135 | + | 0.880990i | \(0.656878\pi\) | |||||||
\(200\) | 3.97334 | + | 27.6131i | 0.280957 | + | 1.95254i | ||||
\(201\) | −8.45877 | − | 4.88367i | −0.596636 | − | 0.344468i | ||||
\(202\) | −6.96472 | − | 5.30004i | −0.490036 | − | 0.372910i | ||||
\(203\) | −4.96890 | + | 6.59010i | −0.348748 | + | 0.462534i | ||||
\(204\) | 8.67756 | − | 2.39979i | 0.607550 | − | 0.168019i | ||||
\(205\) | 16.2889 | − | 28.2132i | 1.13767 | − | 1.97050i | ||||
\(206\) | 24.9603 | + | 3.18446i | 1.73907 | + | 0.221872i | ||||
\(207\) | −2.77902 | + | 1.60447i | −0.193155 | + | 0.111518i | ||||
\(208\) | −1.47900 | + | 0.0236910i | −0.102550 | + | 0.00164268i | ||||
\(209\) | − | 0.0901606i | − | 0.00623654i | ||||||
\(210\) | 3.55975 | − | 13.9790i | 0.245646 | − | 0.964646i | ||||
\(211\) | − | 19.6676i | − | 1.35398i | −0.735994 | − | 0.676988i | \(-0.763285\pi\) | ||
0.735994 | − | 0.676988i | \(-0.236715\pi\) | |||||||
\(212\) | −4.92731 | − | 1.27807i | −0.338409 | − | 0.0877780i | ||||
\(213\) | −11.2166 | + | 6.47590i | −0.768549 | + | 0.443722i | ||||
\(214\) | −1.09053 | + | 8.54775i | −0.0745471 | + | 0.584312i | ||||
\(215\) | 12.1504 | − | 21.0451i | 0.828651 | − | 1.43527i | ||||
\(216\) | 2.62594 | + | 1.05092i | 0.178673 | + | 0.0715063i | ||||
\(217\) | −15.8529 | − | 1.95102i | −1.07617 | − | 0.132444i | ||||
\(218\) | −6.73424 | + | 8.84937i | −0.456100 | + | 0.599355i | ||||
\(219\) | 1.56024 | + | 0.900803i | 0.105431 | + | 0.0608706i | ||||
\(220\) | 7.36756 | − | 7.48652i | 0.496721 | − | 0.504741i | ||||
\(221\) | −0.832347 | − | 1.44167i | −0.0559897 | − | 0.0969771i | ||||
\(222\) | 3.00088 | + | 7.16350i | 0.201406 | + | 0.480783i | ||||
\(223\) | −8.10323 | −0.542633 | −0.271316 | − | 0.962490i | \(-0.587459\pi\) | ||||
−0.271316 | + | 0.962490i | \(0.587459\pi\) | |||||||
\(224\) | −3.46060 | + | 14.5611i | −0.231221 | + | 0.972901i | ||||
\(225\) | −9.86325 | −0.657550 | ||||||||
\(226\) | −2.57185 | − | 6.13934i | −0.171077 | − | 0.408383i | ||||
\(227\) | 6.04300 | + | 10.4668i | 0.401088 | + | 0.694704i | 0.993857 | − | 0.110668i | \(-0.0352989\pi\) |
−0.592770 | + | 0.805372i | \(0.701966\pi\) | |||||||
\(228\) | 0.0928470 | − | 0.0943462i | 0.00614895 | − | 0.00624823i | ||||
\(229\) | 20.5963 | + | 11.8913i | 1.36104 | + | 0.785799i | 0.989763 | − | 0.142722i | \(-0.0455856\pi\) |
0.371280 | + | 0.928521i | \(0.378919\pi\) | |||||||
\(230\) | −10.5951 | + | 13.9229i | −0.698620 | + | 0.918047i | ||||
\(231\) | −3.31806 | + | 1.40733i | −0.218313 | + | 0.0925957i | ||||
\(232\) | −8.19164 | − | 3.27837i | −0.537808 | − | 0.215235i | ||||
\(233\) | 9.96472 | − | 17.2594i | 0.652810 | − | 1.13070i | −0.329628 | − | 0.944111i | \(-0.606923\pi\) |
0.982438 | − | 0.186590i | \(-0.0597435\pi\) | |||||||
\(234\) | 0.0661849 | − | 0.518768i | 0.00432664 | − | 0.0339129i | ||||
\(235\) | 4.76002 | − | 2.74820i | 0.310509 | − | 0.179273i | ||||
\(236\) | −6.65492 | − | 1.72618i | −0.433198 | − | 0.112365i | ||||
\(237\) | − | 12.4888i | − | 0.811233i | ||||||
\(238\) | −16.2141 | + | 4.56165i | −1.05101 | + | 0.295688i | ||||
\(239\) | − | 9.60993i | − | 0.621615i | −0.950473 | − | 0.310807i | \(-0.899401\pi\) | ||
0.950473 | − | 0.310807i | \(-0.100599\pi\) | |||||||
\(240\) | 15.4192 | − | 0.246989i | 0.995304 | − | 0.0159430i | ||||
\(241\) | −9.01386 | + | 5.20415i | −0.580634 | + | 0.335229i | −0.761385 | − | 0.648300i | \(-0.775480\pi\) |
0.180752 | + | 0.983529i | \(0.442147\pi\) | |||||||
\(242\) | 12.8280 | + | 1.63660i | 0.824613 | + | 0.105205i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −2.76002 | + | 0.763286i | −0.176692 | + | 0.0488644i | ||||
\(245\) | −6.54348 | + | 26.1817i | −0.418047 | + | 1.67269i | ||||
\(246\) | −9.50990 | − | 7.23689i | −0.606329 | − | 0.461407i | ||||
\(247\) | −0.0211960 | − | 0.0122375i | −0.00134867 | − | 0.000778654i | ||||
\(248\) | −2.43198 | − | 16.9013i | −0.154431 | − | 1.07323i | ||||
\(249\) | −6.14446 | − | 10.6425i | −0.389390 | − | 0.674442i | ||||
\(250\) | −24.4562 | + | 10.2450i | −1.54675 | + | 0.647952i | ||||
\(251\) | −20.6860 | −1.30569 | −0.652846 | − | 0.757491i | \(-0.726425\pi\) | ||||
−0.652846 | + | 0.757491i | \(0.726425\pi\) | |||||||
\(252\) | −4.92137 | − | 1.94426i | −0.310017 | − | 0.122477i | ||||
\(253\) | 4.37139 | 0.274827 | ||||||||
\(254\) | −3.52591 | + | 1.47705i | −0.221235 | + | 0.0926782i | ||||
\(255\) | 8.67756 | + | 15.0300i | 0.543410 | + | 0.941213i | ||||
\(256\) | −15.9918 | + | 0.512453i | −0.999487 | + | 0.0320283i | ||||
\(257\) | −15.3732 | − | 8.87569i | −0.958951 | − | 0.553651i | −0.0631009 | − | 0.998007i | \(-0.520099\pi\) |
−0.895850 | + | 0.444357i | \(0.853432\pi\) | |||||||
\(258\) | −7.09373 | − | 5.39822i | −0.441636 | − | 0.336078i | ||||
\(259\) | −5.67360 | − | 13.3766i | −0.352540 | − | 0.831183i | ||||
\(260\) | −0.760017 | − | 2.74820i | −0.0471343 | − | 0.170436i | ||||
\(261\) | 1.55975 | − | 2.70157i | 0.0965464 | − | 0.167223i | ||||
\(262\) | 10.9041 | + | 1.39116i | 0.673659 | + | 0.0859461i | ||||
\(263\) | −1.80241 | + | 1.04062i | −0.111141 | + | 0.0641675i | −0.554540 | − | 0.832157i | \(-0.687106\pi\) |
0.443399 | + | 0.896324i | \(0.353773\pi\) | |||||||
\(264\) | −2.38213 | − | 3.02842i | −0.146610 | − | 0.186386i | ||||
\(265\) | − | 9.81243i | − | 0.602773i | ||||||
\(266\) | −0.172915 | + | 0.177275i | −0.0106021 | + | 0.0108694i | ||||
\(267\) | − | 1.29270i | − | 0.0791118i | ||||||
\(268\) | −4.90468 | + | 18.9089i | −0.299601 | + | 1.15505i | ||||
\(269\) | 3.08075 | − | 1.77867i | 0.187837 | − | 0.108448i | −0.403133 | − | 0.915142i | \(-0.632079\pi\) |
0.590970 | + | 0.806694i | \(0.298745\pi\) | |||||||
\(270\) | −0.690004 | + | 5.40836i | −0.0419923 | + | 0.329143i | ||||
\(271\) | 6.18399 | − | 10.7110i | 0.375650 | − | 0.650646i | −0.614774 | − | 0.788704i | \(-0.710753\pi\) |
0.990424 | + | 0.138058i | \(0.0440860\pi\) | |||||||
\(272\) | −9.25188 | − | 15.4479i | −0.560978 | − | 0.936668i | ||||
\(273\) | −0.119509 | + | 0.971066i | −0.00723302 | + | 0.0587716i | ||||
\(274\) | −2.44195 | + | 3.20894i | −0.147524 | + | 0.193859i | ||||
\(275\) | 11.6361 | + | 6.71812i | 0.701685 | + | 0.405118i | ||||
\(276\) | 4.57432 | + | 4.50164i | 0.275342 | + | 0.270967i | ||||
\(277\) | 5.93162 | + | 10.2739i | 0.356397 | + | 0.617297i | 0.987356 | − | 0.158519i | \(-0.0506718\pi\) |
−0.630959 | + | 0.775816i | \(0.717338\pi\) | |||||||
\(278\) | 3.91051 | + | 9.33491i | 0.234537 | + | 0.559871i | ||||
\(279\) | 6.03705 | 0.361429 | ||||||||
\(280\) | −28.8443 | + | 0.590182i | −1.72378 | + | 0.0352701i | ||||
\(281\) | −19.3428 | −1.15390 | −0.576948 | − | 0.816781i | \(-0.695756\pi\) | ||||
−0.576948 | + | 0.816781i | \(0.695756\pi\) | |||||||
\(282\) | −0.779023 | − | 1.85963i | −0.0463902 | − | 0.110739i | ||||
\(283\) | −12.4707 | − | 21.5998i | −0.741304 | − | 1.28398i | −0.951902 | − | 0.306404i | \(-0.900874\pi\) |
0.210598 | − | 0.977573i | \(-0.432459\pi\) | |||||||
\(284\) | 18.4627 | + | 18.1694i | 1.09556 | + | 1.07815i | ||||
\(285\) | 0.220977 | + | 0.127581i | 0.0130895 | + | 0.00755725i | ||||
\(286\) | −0.431428 | + | 0.566934i | −0.0255109 | + | 0.0335235i | ||||
\(287\) | 17.8514 | + | 13.4598i | 1.05373 | + | 0.794509i | ||||
\(288\) | 0.625940 | − | 5.62212i | 0.0368838 | − | 0.331286i | ||||
\(289\) | 1.63237 | − | 2.82735i | 0.0960218 | − | 0.166315i | ||||
\(290\) | 2.15247 | − | 16.8714i | 0.126398 | − | 0.990725i | ||||
\(291\) | −2.49781 | + | 1.44211i | −0.146424 | + | 0.0845381i | ||||
\(292\) | 0.904677 | − | 3.48779i | 0.0529422 | − | 0.204108i | ||||
\(293\) | 6.88234i | 0.402071i | 0.979584 | + | 0.201035i | \(0.0644306\pi\) | ||||
−0.979584 | + | 0.201035i | \(0.935569\pi\) | |||||||
\(294\) | 9.22310 | + | 3.59645i | 0.537902 | + | 0.209749i | ||||
\(295\) | − | 13.2528i | − | 0.771610i | ||||||
\(296\) | 12.2089 | − | 9.60344i | 0.709630 | − | 0.558189i | ||||
\(297\) | 1.17975 | − | 0.681127i | 0.0684558 | − | 0.0395230i | ||||
\(298\) | 29.9579 | + | 3.82205i | 1.73541 | + | 0.221406i | ||||
\(299\) | 0.593329 | − | 1.02768i | 0.0343131 | − | 0.0594321i | ||||
\(300\) | 5.25802 | + | 19.0128i | 0.303572 | + | 1.09771i | ||||
\(301\) | 13.3159 | + | 10.0401i | 0.767514 | + | 0.578702i | ||||
\(302\) | 24.9991 | + | 19.0239i | 1.43854 | + | 1.09470i | ||||
\(303\) | −5.35949 | − | 3.09430i | −0.307895 | − | 0.177763i | ||||
\(304\) | −0.231362 | − | 0.128681i | −0.0132695 | − | 0.00738035i | ||||
\(305\) | −2.76002 | − | 4.78049i | −0.158038 | − | 0.273730i | ||||
\(306\) | 5.87187 | − | 2.45980i | 0.335672 | − | 0.140617i | ||||
\(307\) | 17.4213 | 0.994286 | 0.497143 | − | 0.867669i | \(-0.334382\pi\) | ||||
0.497143 | + | 0.867669i | \(0.334382\pi\) | |||||||
\(308\) | 4.48167 | + | 5.64581i | 0.255367 | + | 0.321700i | ||||
\(309\) | 17.7927 | 1.01219 | ||||||||
\(310\) | 30.3590 | − | 12.7178i | 1.72428 | − | 0.722321i | ||||
\(311\) | 12.5580 | + | 21.7512i | 0.712101 | + | 1.23340i | 0.964067 | + | 0.265660i | \(0.0855898\pi\) |
−0.251965 | + | 0.967736i | \(0.581077\pi\) | |||||||
\(312\) | −1.03528 | + | 0.148970i | −0.0586113 | + | 0.00843378i | ||||
\(313\) | −19.1361 | − | 11.0482i | −1.08164 | − | 0.624484i | −0.150300 | − | 0.988640i | \(-0.548024\pi\) |
−0.931338 | + | 0.364156i | \(0.881357\pi\) | |||||||
\(314\) | 6.13237 | + | 4.66664i | 0.346070 | + | 0.263354i | ||||
\(315\) | 1.24593 | − | 10.1238i | 0.0702002 | − | 0.570409i | ||||
\(316\) | −24.0739 | + | 6.65767i | −1.35426 | + | 0.374523i | ||||
\(317\) | 0.811634 | − | 1.40579i | 0.0455859 | − | 0.0789571i | −0.842332 | − | 0.538959i | \(-0.818818\pi\) |
0.887918 | + | 0.460002i | \(0.152151\pi\) | |||||||
\(318\) | −3.57050 | − | 0.455527i | −0.200223 | − | 0.0255447i | ||||
\(319\) | −3.68023 | + | 2.12478i | −0.206053 | + | 0.118965i | ||||
\(320\) | −8.69595 | − | 29.5910i | −0.486119 | − | 1.65419i | ||||
\(321\) | 6.09316i | 0.340087i | ||||||||
\(322\) | −8.59509 | − | 8.38370i | −0.478986 | − | 0.467205i | ||||
\(323\) | − | 0.297941i | − | 0.0165779i | ||||||
\(324\) | 1.93594 | + | 0.502151i | 0.107552 | + | 0.0278973i | ||||
\(325\) | 3.15875 | − | 1.82370i | 0.175216 | − | 0.101161i | ||||
\(326\) | 0.851353 | − | 6.67304i | 0.0471521 | − | 0.369586i | ||||
\(327\) | −3.93162 | + | 6.80977i | −0.217419 | + | 0.376581i | ||||
\(328\) | −8.88049 | + | 22.1896i | −0.490343 | + | 1.22522i | ||||
\(329\) | 1.47286 | + | 3.47255i | 0.0812012 | + | 0.191448i | ||||
\(330\) | 4.49781 | − | 5.91051i | 0.247596 | − | 0.325363i | ||||
\(331\) | 23.0949 | + | 13.3338i | 1.26941 | + | 0.732894i | 0.974876 | − | 0.222747i | \(-0.0715023\pi\) |
0.294534 | + | 0.955641i | \(0.404836\pi\) | |||||||
\(332\) | −17.2394 | + | 17.5178i | −0.946137 | + | 0.961413i | ||||
\(333\) | 2.74593 | + | 4.75609i | 0.150476 | + | 0.260632i | ||||
\(334\) | −7.68370 | − | 18.3420i | −0.420433 | − | 1.00363i | ||||
\(335\) | −37.6559 | −2.05736 | ||||||||
\(336\) | −1.12430 | + | 10.5231i | −0.0613357 | + | 0.574083i | ||||
\(337\) | 29.8426 | 1.62563 | 0.812815 | − | 0.582522i | \(-0.197934\pi\) | ||||
0.812815 | + | 0.582522i | \(0.197934\pi\) | |||||||
\(338\) | −7.02878 | − | 16.7786i | −0.382315 | − | 0.912637i | ||||
\(339\) | −2.35335 | − | 4.07612i | −0.127816 | − | 0.221384i | ||||
\(340\) | 24.3465 | − | 24.7396i | 1.32037 | − | 1.34169i | ||||
\(341\) | −7.12218 | − | 4.11199i | −0.385688 | − | 0.222677i | ||||
\(342\) | 0.0566820 | − | 0.0744851i | 0.00306501 | − | 0.00402769i | ||||
\(343\) | −17.2845 | − | 6.65165i | −0.933278 | − | 0.359155i | ||||
\(344\) | −6.62423 | + | 16.5519i | −0.357155 | + | 0.892421i | ||||
\(345\) | −6.18569 | + | 10.7139i | −0.333027 | + | 0.576819i | ||||
\(346\) | 0.318064 | − | 2.49304i | 0.0170992 | − | 0.134026i | ||||
\(347\) | 0.820451 | − | 0.473688i | 0.0440441 | − | 0.0254289i | −0.477816 | − | 0.878460i | \(-0.658572\pi\) |
0.521860 | + | 0.853031i | \(0.325238\pi\) | |||||||
\(348\) | −6.03917 | − | 1.56646i | −0.323733 | − | 0.0839712i | ||||
\(349\) | 6.41788i | 0.343541i | 0.985137 | + | 0.171771i | \(0.0549488\pi\) | ||||
−0.985137 | + | 0.171771i | \(0.945051\pi\) | |||||||
\(350\) | −9.99474 | − | 35.5257i | −0.534241 | − | 1.89893i | ||||
\(351\) | − | 0.369798i | − | 0.0197383i | ||||||
\(352\) | −4.56782 | + | 6.20633i | −0.243466 | + | 0.330798i | ||||
\(353\) | 12.0146 | − | 6.93665i | 0.639474 | − | 0.369200i | −0.144938 | − | 0.989441i | \(-0.546298\pi\) |
0.784412 | + | 0.620240i | \(0.212965\pi\) | |||||||
\(354\) | −4.82237 | − | 0.615243i | −0.256306 | − | 0.0326998i | ||||
\(355\) | −24.9665 | + | 43.2432i | −1.32508 | + | 2.29511i | ||||
\(356\) | −2.49186 | + | 0.689127i | −0.132068 | + | 0.0365237i | ||||
\(357\) | −10.9647 | + | 4.65061i | −0.580314 | + | 0.246136i | ||||
\(358\) | 3.65951 | + | 2.78483i | 0.193411 | + | 0.147183i | ||||
\(359\) | 6.00000 | + | 3.46410i | 0.316668 | + | 0.182828i | 0.649906 | − | 0.760014i | \(-0.274808\pi\) |
−0.333238 | + | 0.942843i | \(0.608141\pi\) | |||||||
\(360\) | 10.7932 | − | 1.55307i | 0.568854 | − | 0.0818542i | ||||
\(361\) | 9.49781 | + | 16.4507i | 0.499885 | + | 0.865826i | ||||
\(362\) | 30.6551 | − | 12.8418i | 1.61119 | − | 0.674949i | ||||
\(363\) | 9.14427 | 0.479950 | ||||||||
\(364\) | 1.93558 | − | 0.287297i | 0.101452 | − | 0.0150585i | ||||
\(365\) | 6.94571 | 0.363555 | ||||||||
\(366\) | −1.86763 | + | 0.782374i | −0.0976226 | + | 0.0408953i | ||||
\(367\) | 9.65903 | + | 16.7299i | 0.504197 | + | 0.873295i | 0.999988 | + | 0.00485350i | \(0.00154492\pi\) |
−0.495791 | + | 0.868442i | \(0.665122\pi\) | |||||||
\(368\) | 6.23902 | − | 11.2175i | 0.325231 | − | 0.584750i | ||||
\(369\) | −7.31806 | − | 4.22509i | −0.380963 | − | 0.219949i | ||||
\(370\) | 23.8280 | + | 18.1327i | 1.23876 | + | 0.942675i | ||||
\(371\) | 6.68350 | + | 0.822539i | 0.346990 | + | 0.0427041i | ||||
\(372\) | −3.21830 | − | 11.6373i | −0.166861 | − | 0.603365i | ||||
\(373\) | −5.63832 | + | 9.76585i | −0.291941 | + | 0.505657i | −0.974269 | − | 0.225390i | \(-0.927634\pi\) |
0.682328 | + | 0.731047i | \(0.260968\pi\) | |||||||
\(374\) | −8.60275 | − | 1.09755i | −0.444838 | − | 0.0567528i | ||||
\(375\) | −16.2373 | + | 9.37462i | −0.838491 | + | 0.484103i | ||||
\(376\) | −3.16942 | + | 2.49304i | −0.163450 | + | 0.128568i | ||||
\(377\) | 1.15359i | 0.0594128i | ||||||||
\(378\) | −3.62594 | − | 0.923343i | −0.186498 | − | 0.0474917i | ||||
\(379\) | 25.1457i | 1.29165i | 0.763486 | + | 0.645824i | \(0.223486\pi\) | ||||
−0.763486 | + | 0.645824i | \(0.776514\pi\) | |||||||
\(380\) | 0.128130 | − | 0.493977i | 0.00657292 | − | 0.0253405i | ||||
\(381\) | −2.34097 | + | 1.35156i | −0.119931 | + | 0.0692424i | ||||
\(382\) | −4.27703 | + | 33.5240i | −0.218832 | + | 1.71524i | ||||
\(383\) | 8.88226 | − | 15.3845i | 0.453862 | − | 0.786112i | −0.544760 | − | 0.838592i | \(-0.683379\pi\) |
0.998622 | + | 0.0524799i | \(0.0167126\pi\) | |||||||
\(384\) | −11.1711 | + | 1.79052i | −0.570074 | + | 0.0913721i | ||||
\(385\) | −8.36544 | + | 11.0948i | −0.426342 | + | 0.565444i | ||||
\(386\) | −17.0215 | + | 22.3677i | −0.866369 | + | 1.13848i | ||||
\(387\) | −5.45877 | − | 3.15162i | −0.277485 | − | 0.160206i | ||||
\(388\) | 4.11144 | + | 4.04611i | 0.208727 | + | 0.205410i | ||||
\(389\) | −7.07233 | − | 12.2496i | −0.358581 | − | 0.621081i | 0.629143 | − | 0.777290i | \(-0.283406\pi\) |
−0.987724 | + | 0.156209i | \(0.950073\pi\) | |||||||
\(390\) | −0.779023 | − | 1.85963i | −0.0394474 | − | 0.0941661i | ||||
\(391\) | 14.4455 | 0.730539 | ||||||||
\(392\) | 2.01592 | − | 19.6961i | 0.101819 | − | 0.994803i | ||||
\(393\) | 7.77288 | 0.392090 | ||||||||
\(394\) | −10.3929 | − | 24.8092i | −0.523585 | − | 1.24987i | ||||
\(395\) | −24.0739 | − | 41.6972i | −1.21129 | − | 2.09801i | ||||
\(396\) | −1.94188 | − | 1.91103i | −0.0975833 | − | 0.0960327i | ||||
\(397\) | −10.9558 | − | 6.32534i | −0.549856 | − | 0.317460i | 0.199208 | − | 0.979957i | \(-0.436163\pi\) |
−0.749064 | + | 0.662498i | \(0.769497\pi\) | |||||||
\(398\) | 12.7190 | − | 16.7139i | 0.637545 | − | 0.837790i | ||||
\(399\) | −0.105422 | + | 0.139819i | −0.00527772 | + | 0.00699968i | ||||
\(400\) | 33.8470 | − | 20.2712i | 1.69235 | − | 1.01356i | ||||
\(401\) | 12.3904 | − | 21.4608i | 0.618747 | − | 1.07170i | −0.370968 | − | 0.928646i | \(-0.620974\pi\) |
0.989715 | − | 0.143055i | \(-0.0456926\pi\) | |||||||
\(402\) | −1.74812 | + | 13.7020i | −0.0871884 | + | 0.683396i | ||||
\(403\) | −1.93339 | + | 1.11624i | −0.0963090 | + | 0.0556040i | ||||
\(404\) | −3.10761 | + | 11.9807i | −0.154610 | + | 0.596064i | ||||
\(405\) | 3.85529i | 0.191571i | ||||||||
\(406\) | 11.3112 | + | 2.88038i | 0.561363 | + | 0.142951i | ||||
\(407\) | − | 7.48131i | − | 0.370835i | ||||||
\(408\) | −7.87187 | − | 10.0076i | −0.389716 | − | 0.495449i | ||||
\(409\) | −5.02003 | + | 2.89832i | −0.248225 | + | 0.143313i | −0.618951 | − | 0.785430i | \(-0.712442\pi\) |
0.370726 | + | 0.928742i | \(0.379109\pi\) | |||||||
\(410\) | −45.7016 | − | 5.83066i | −2.25704 | − | 0.287956i | ||||
\(411\) | −1.42568 | + | 2.46934i | −0.0703234 | + | 0.121804i | ||||
\(412\) | −9.48515 | − | 34.2980i | −0.467300 | − | 1.68974i | ||||
\(413\) | 9.02686 | + | 1.11094i | 0.444183 | + | 0.0546656i | ||||
\(414\) | 3.61137 | + | 2.74820i | 0.177489 | + | 0.135067i | ||||
\(415\) | −41.0300 | − | 23.6887i | −2.01408 | − | 1.16283i | ||||
\(416\) | 0.839063 | + | 1.91624i | 0.0411385 | + | 0.0939515i | ||||
\(417\) | 3.57828 | + | 6.19776i | 0.175229 | + | 0.303506i | ||||
\(418\) | −0.117604 | + | 0.0492659i | −0.00575221 | + | 0.00240967i | ||||
\(419\) | 2.42966 | 0.118697 | 0.0593484 | − | 0.998237i | \(-0.481098\pi\) | ||||
0.0593484 | + | 0.998237i | \(0.481098\pi\) | |||||||
\(420\) | −20.1792 | + | 2.99519i | −0.984644 | + | 0.146150i | ||||
\(421\) | −25.9373 | −1.26411 | −0.632054 | − | 0.774924i | \(-0.717788\pi\) | ||||
−0.632054 | + | 0.774924i | \(0.717788\pi\) | |||||||
\(422\) | −25.6542 | + | 10.7469i | −1.24883 | + | 0.523149i | ||||
\(423\) | −0.712838 | − | 1.23467i | −0.0346594 | − | 0.0600318i | ||||
\(424\) | 1.02531 | + | 7.12548i | 0.0497934 | + | 0.346044i | ||||
\(425\) | 38.4522 | + | 22.2004i | 1.86521 | + | 1.07688i | ||||
\(426\) | 14.5761 | + | 11.0922i | 0.706214 | + | 0.537418i | ||||
\(427\) | 3.48748 | − | 1.47919i | 0.168771 | − | 0.0715830i | ||||
\(428\) | 11.7454 | − | 3.24822i | 0.567738 | − | 0.157009i | ||||
\(429\) | −0.251879 | + | 0.436267i | −0.0121608 | + | 0.0210632i | ||||
\(430\) | −34.0902 | − | 4.34927i | −1.64398 | − | 0.209740i | ||||
\(431\) | −12.7781 | + | 7.37742i | −0.615497 | + | 0.355358i | −0.775114 | − | 0.631821i | \(-0.782308\pi\) |
0.159616 | + | 0.987179i | \(0.448974\pi\) | |||||||
\(432\) | −0.0640649 | − | 3.99949i | −0.00308232 | − | 0.192425i | ||||
\(433\) | − | 35.7396i | − | 1.71754i | −0.512364 | − | 0.858769i | \(-0.671230\pi\) | ||
0.512364 | − | 0.858769i | \(-0.328770\pi\) | |||||||
\(434\) | 6.11753 | + | 21.7444i | 0.293651 | + | 1.04376i | ||||
\(435\) | − | 12.0266i | − | 0.576632i | ||||||
\(436\) | 15.2227 | + | 3.94853i | 0.729037 | + | 0.189101i | ||||
\(437\) | 0.183929 | − | 0.106192i | 0.00879854 | − | 0.00507984i | ||||
\(438\) | 0.322444 | − | 2.52737i | 0.0154070 | − | 0.120762i | ||||
\(439\) | 9.91925 | − | 17.1806i | 0.473420 | − | 0.819987i | −0.526117 | − | 0.850412i | \(-0.676353\pi\) |
0.999537 | + | 0.0304249i | \(0.00968604\pi\) | |||||||
\(440\) | −13.7911 | − | 5.51933i | −0.657466 | − | 0.263124i | ||||
\(441\) | 6.79112 | + | 1.69727i | 0.323387 | + | 0.0808225i | ||||
\(442\) | −1.42568 | + | 1.87346i | −0.0678125 | + | 0.0891116i | ||||
\(443\) | 16.4378 | + | 9.49035i | 0.780982 | + | 0.450900i | 0.836778 | − | 0.547542i | \(-0.184436\pi\) |
−0.0557962 | + | 0.998442i | \(0.517770\pi\) | |||||||
\(444\) | 7.70422 | − | 7.82861i | 0.365626 | − | 0.371530i | ||||
\(445\) | −2.49186 | − | 4.31603i | −0.118126 | − | 0.204599i | ||||
\(446\) | 4.42780 | + | 10.5697i | 0.209662 | + | 0.500492i | ||||
\(447\) | 21.3551 | 1.01006 | ||||||||
\(448\) | 20.8842 | − | 3.44254i | 0.986685 | − | 0.162645i | ||||
\(449\) | −25.2845 | −1.19325 | −0.596626 | − | 0.802520i | \(-0.703492\pi\) | ||||
−0.596626 | + | 0.802520i | \(0.703492\pi\) | |||||||
\(450\) | 5.38951 | + | 12.8655i | 0.254064 | + | 0.606485i | ||||
\(451\) | 5.75564 | + | 9.96906i | 0.271022 | + | 0.469425i | ||||
\(452\) | −6.60275 | + | 6.70936i | −0.310567 | + | 0.315582i | ||||
\(453\) | 19.2373 | + | 11.1067i | 0.903848 | + | 0.521837i | ||||
\(454\) | 10.3507 | − | 13.6017i | 0.485781 | − | 0.638359i | ||||
\(455\) | 1.47286 | + | 3.47255i | 0.0690485 | + | 0.162795i | ||||
\(456\) | −0.173798 | − | 0.0695553i | −0.00813882 | − | 0.00325723i | ||||
\(457\) | −11.4837 | + | 19.8904i | −0.537186 | + | 0.930433i | 0.461868 | + | 0.886949i | \(0.347179\pi\) |
−0.999054 | + | 0.0434847i | \(0.986154\pi\) | |||||||
\(458\) | 4.25651 | − | 33.3632i | 0.198894 | − | 1.55896i | ||||
\(459\) | 3.89853 | − | 2.25082i | 0.181968 | − | 0.105059i | ||||
\(460\) | 23.9502 | + | 6.21230i | 1.11668 | + | 0.289650i | ||||
\(461\) | − | 2.95838i | − | 0.137786i | −0.997624 | − | 0.0688928i | \(-0.978053\pi\) | ||
0.997624 | − | 0.0688928i | \(-0.0219466\pi\) | |||||||
\(462\) | 3.64877 | + | 3.55903i | 0.169756 | + | 0.165581i | ||||
\(463\) | − | 3.30669i | − | 0.153675i | −0.997044 | − | 0.0768374i | \(-0.975518\pi\) | ||
0.997044 | − | 0.0768374i | \(-0.0244822\pi\) | |||||||
\(464\) | 0.199851 | + | 12.4764i | 0.00927785 | + | 0.579204i | ||||
\(465\) | 20.1564 | − | 11.6373i | 0.934729 | − | 0.539666i | ||||
\(466\) | −27.9579 | − | 3.56689i | −1.29512 | − | 0.165233i | ||||
\(467\) | −5.95282 | + | 10.3106i | −0.275464 | + | 0.477117i | −0.970252 | − | 0.242097i | \(-0.922165\pi\) |
0.694788 | + | 0.719214i | \(0.255498\pi\) | |||||||
\(468\) | −0.712838 | + | 0.197136i | −0.0329510 | + | 0.00911263i | ||||
\(469\) | 3.15656 | − | 25.6485i | 0.145756 | − | 1.18434i | ||||
\(470\) | −6.18569 | − | 4.70722i | −0.285325 | − | 0.217128i | ||||
\(471\) | 4.71898 | + | 2.72451i | 0.217439 | + | 0.125539i | ||||
\(472\) | 1.38480 | + | 9.62380i | 0.0637406 | + | 0.442971i | ||||
\(473\) | 4.29331 | + | 7.43623i | 0.197406 | + | 0.341918i | ||||
\(474\) | −16.2902 | + | 6.82416i | −0.748232 | + | 0.313444i | ||||
\(475\) | 0.652798 | 0.0299524 | ||||||||
\(476\) | 14.8099 | + | 18.6569i | 0.678812 | + | 0.855136i | ||||
\(477\) | −2.54519 | −0.116536 | ||||||||
\(478\) | −12.5351 | + | 5.25109i | −0.573340 | + | 0.240179i | ||||
\(479\) | 5.95186 | + | 10.3089i | 0.271947 | + | 0.471026i | 0.969360 | − | 0.245643i | \(-0.0789990\pi\) |
−0.697413 | + | 0.716669i | \(0.745666\pi\) | |||||||
\(480\) | −8.74757 | − | 19.9776i | −0.399270 | − | 0.911848i | ||||
\(481\) | −1.75879 | − | 1.01544i | −0.0801940 | − | 0.0463000i | ||||
\(482\) | 11.7136 | + | 8.91387i | 0.533540 | + | 0.406016i | ||||
\(483\) | −6.77902 | − | 5.11135i | −0.308456 | − | 0.232574i | ||||
\(484\) | −4.87474 | − | 17.6269i | −0.221579 | − | 0.801222i | ||||
\(485\) | −5.55975 | + | 9.62978i | −0.252455 | + | 0.437266i | ||||
\(486\) | 1.40284 | + | 0.178976i | 0.0636342 | + | 0.00811852i | ||||
\(487\) | −6.50151 | + | 3.75365i | −0.294612 | + | 0.170094i | −0.640020 | − | 0.768358i | \(-0.721074\pi\) |
0.345408 | + | 0.938453i | \(0.387740\pi\) | |||||||
\(488\) | 2.50376 | + | 3.18305i | 0.113340 | + | 0.144090i | ||||
\(489\) | − | 4.75680i | − | 0.215110i | ||||||
\(490\) | 37.7266 | − | 5.77109i | 1.70431 | − | 0.260711i | ||||
\(491\) | 22.0031i | 0.992988i | 0.868040 | + | 0.496494i | \(0.165380\pi\) | ||||
−0.868040 | + | 0.496494i | \(0.834620\pi\) | |||||||
\(492\) | −4.24326 | + | 16.3590i | −0.191301 | + | 0.737520i | ||||
\(493\) | −12.1615 | + | 7.02145i | −0.547727 | + | 0.316230i | ||||
\(494\) | −0.00438044 | + | 0.0343346i | −0.000197086 | + | 0.00154479i | ||||
\(495\) | 2.62594 | − | 4.54826i | 0.118027 | − | 0.204429i | ||||
\(496\) | −20.7169 | + | 12.4075i | −0.930215 | + | 0.557113i | ||||
\(497\) | −27.3613 | − | 20.6303i | −1.22732 | − | 0.925393i | ||||
\(498\) | −10.5245 | + | 13.8301i | −0.471613 | + | 0.619740i | ||||
\(499\) | −1.22277 | − | 0.705968i | −0.0547389 | − | 0.0316035i | 0.472381 | − | 0.881395i | \(-0.343395\pi\) |
−0.527120 | + | 0.849791i | \(0.676728\pi\) | |||||||
\(500\) | 26.7269 | + | 26.3022i | 1.19526 | + | 1.17627i | ||||
\(501\) | −7.03090 | − | 12.1779i | −0.314118 | − | 0.544068i | ||||
\(502\) | 11.3033 | + | 26.9826i | 0.504493 | + | 1.20429i | ||||
\(503\) | 26.2303 | 1.16955 | 0.584775 | − | 0.811196i | \(-0.301183\pi\) | ||||
0.584775 | + | 0.811196i | \(0.301183\pi\) | |||||||
\(504\) | 0.153084 | + | 7.48175i | 0.00681889 | + | 0.333264i | ||||
\(505\) | −23.8589 | −1.06171 | ||||||||
\(506\) | −2.38863 | − | 5.70197i | −0.106188 | − | 0.253484i | ||||
\(507\) | −6.43162 | − | 11.1399i | −0.285638 | − | 0.494740i | ||||
\(508\) | 3.85328 | + | 3.79205i | 0.170961 | + | 0.168245i | ||||
\(509\) | −4.38419 | − | 2.53121i | −0.194326 | − | 0.112194i | 0.399680 | − | 0.916655i | \(-0.369121\pi\) |
−0.594006 | + | 0.804461i | \(0.702455\pi\) | |||||||
\(510\) | 14.8632 | − | 19.5316i | 0.658156 | − | 0.864874i | ||||
\(511\) | −0.582233 | + | 4.73091i | −0.0257565 | + | 0.209283i | ||||
\(512\) | 9.40673 | + | 20.5794i | 0.415723 | + | 0.909491i | ||||
\(513\) | 0.0330925 | − | 0.0573178i | 0.00146107 | − | 0.00253064i | ||||
\(514\) | −3.17707 | + | 24.9024i | −0.140135 | + | 1.09840i | ||||
\(515\) | 59.4058 | − | 34.2980i | 2.61773 | − | 1.51135i | ||||
\(516\) | −3.16518 | + | 12.2027i | −0.139339 | + | 0.537193i | ||||
\(517\) | 1.94213i | 0.0854149i | ||||||||
\(518\) | −14.3481 | + | 14.7099i | −0.630419 | + | 0.646314i | ||||
\(519\) | − | 1.77713i | − | 0.0780074i | ||||||
\(520\) | −3.16942 | + | 2.49304i | −0.138988 | + | 0.109327i | ||||
\(521\) | −8.60044 | + | 4.96547i | −0.376792 | + | 0.217541i | −0.676422 | − | 0.736515i | \(-0.736470\pi\) |
0.299630 | + | 0.954056i | \(0.403137\pi\) | |||||||
\(522\) | −4.37618 | − | 0.558317i | −0.191540 | − | 0.0244369i | ||||
\(523\) | 15.6686 | − | 27.1389i | 0.685142 | − | 1.18670i | −0.288250 | − | 0.957555i | \(-0.593073\pi\) |
0.973392 | − | 0.229146i | \(-0.0735933\pi\) | |||||||
\(524\) | −4.14366 | − | 14.9833i | −0.181017 | − | 0.654550i | ||||
\(525\) | −10.1896 | − | 24.0241i | −0.444713 | − | 1.04850i | ||||
\(526\) | 2.34225 | + | 1.78242i | 0.102127 | + | 0.0777171i | ||||
\(527\) | −23.5356 | − | 13.5883i | −1.02523 | − | 0.591916i | ||||
\(528\) | −2.64858 | + | 4.76201i | −0.115265 | + | 0.207240i | ||||
\(529\) | −6.35135 | − | 11.0009i | −0.276146 | − | 0.478299i | ||||
\(530\) | −12.7992 | + | 5.36174i | −0.555961 | + | 0.232899i | ||||
\(531\) | −3.43757 | −0.149178 | ||||||||
\(532\) | 0.325720 | + | 0.128681i | 0.0141218 | + | 0.00557902i | ||||
\(533\) | 3.12485 | 0.135352 | ||||||||
\(534\) | −1.68618 | + | 0.706360i | −0.0729680 | + | 0.0305672i | ||||
\(535\) | 11.7454 | + | 20.3437i | 0.507800 | + | 0.879535i | ||||
\(536\) | 27.3446 | − | 3.93470i | 1.18111 | − | 0.169953i | ||||
\(537\) | 2.81607 | + | 1.62586i | 0.121522 | + | 0.0701610i | ||||
\(538\) | −4.00347 | − | 3.04658i | −0.172602 | − | 0.131347i | ||||
\(539\) | −6.85573 | − | 6.62796i | −0.295297 | − | 0.285486i | ||||
\(540\) | 7.43162 | − | 2.05523i | 0.319806 | − | 0.0884428i | ||||
\(541\) | 2.09313 | − | 3.62541i | 0.0899908 | − | 0.155869i | −0.817516 | − | 0.575906i | \(-0.804650\pi\) |
0.907507 | + | 0.420037i | \(0.137983\pi\) | |||||||
\(542\) | −17.3503 | − | 2.21357i | −0.745260 | − | 0.0950810i | ||||
\(543\) | 20.3529 | − | 11.7508i | 0.873427 | − | 0.504274i | ||||
\(544\) | −15.0946 | + | 20.5091i | −0.647176 | + | 0.879322i | ||||
\(545\) | 30.3151i | 1.29856i | ||||||||
\(546\) | 1.33195 | − | 0.374727i | 0.0570021 | − | 0.0160369i | ||||
\(547\) | 12.4674i | 0.533067i | 0.963826 | + | 0.266533i | \(0.0858782\pi\) | ||||
−0.963826 | + | 0.266533i | \(0.914122\pi\) | |||||||
\(548\) | 5.52003 | + | 1.43181i | 0.235804 | + | 0.0611638i | ||||
\(549\) | −1.23998 | + | 0.715904i | −0.0529212 | + | 0.0305540i | ||||
\(550\) | 2.40477 | − | 18.8489i | 0.102540 | − | 0.803721i | ||||
\(551\) | −0.103232 | + | 0.178803i | −0.00439784 | + | 0.00761728i | ||||
\(552\) | 3.37235 | − | 8.42648i | 0.143537 | − | 0.358655i | ||||
\(553\) | 30.4191 | − | 12.9020i | 1.29355 | − | 0.548651i | ||||
\(554\) | 10.1599 | − | 13.3510i | 0.431653 | − | 0.567230i | ||||
\(555\) | 18.3361 | + | 10.5864i | 0.778324 | + | 0.449366i | ||||
\(556\) | 10.0395 | − | 10.2016i | 0.425771 | − | 0.432645i | ||||
\(557\) | 18.2744 | + | 31.6521i | 0.774309 | + | 1.34114i | 0.935182 | + | 0.354168i | \(0.115236\pi\) |
−0.160872 | + | 0.986975i | \(0.551431\pi\) | |||||||
\(558\) | −3.29878 | − | 7.87464i | −0.139649 | − | 0.333360i | ||||
\(559\) | 2.33092 | 0.0985876 | ||||||||
\(560\) | 16.5310 | + | 37.3016i | 0.698563 | + | 1.57628i | ||||
\(561\) | −6.13237 | −0.258909 | ||||||||
\(562\) | 10.5694 | + | 25.2305i | 0.445842 | + | 1.06428i | ||||
\(563\) | −21.3672 | − | 37.0091i | −0.900520 | − | 1.55975i | −0.826820 | − | 0.562466i | \(-0.809853\pi\) |
−0.0737002 | − | 0.997280i | \(-0.523481\pi\) | |||||||
\(564\) | −2.00000 | + | 2.03229i | −0.0842152 | + | 0.0855750i | ||||
\(565\) | −15.7146 | − | 9.07283i | −0.661118 | − | 0.381697i | ||||
\(566\) | −21.3602 | + | 28.0692i | −0.897838 | + | 1.17984i | ||||
\(567\) | −2.62594 | − | 0.323174i | −0.110279 | − | 0.0135721i | ||||
\(568\) | 13.6114 | − | 34.0107i | 0.571120 | − | 1.42706i | ||||
\(569\) | −10.7265 | + | 18.5788i | −0.449678 | + | 0.778866i | −0.998365 | − | 0.0571625i | \(-0.981795\pi\) |
0.548687 | + | 0.836028i | \(0.315128\pi\) | |||||||
\(570\) | 0.0456679 | − | 0.357952i | 0.00191282 | − | 0.0149930i | ||||
\(571\) | 18.3349 | − | 10.5856i | 0.767291 | − | 0.442996i | −0.0646165 | − | 0.997910i | \(-0.520582\pi\) |
0.831907 | + | 0.554915i | \(0.187249\pi\) | |||||||
\(572\) | 0.975243 | + | 0.252962i | 0.0407770 | + | 0.0105769i | ||||
\(573\) | 23.8972i | 0.998321i | ||||||||
\(574\) | 7.80241 | − | 30.6398i | 0.325666 | − | 1.27888i | ||||
\(575\) | 31.6506i | 1.31992i | ||||||||
\(576\) | −7.67544 | + | 2.25559i | −0.319810 | + | 0.0939829i | ||||
\(577\) | 4.10289 | − | 2.36880i | 0.170806 | − | 0.0986146i | −0.412160 | − | 0.911111i | \(-0.635226\pi\) |
0.582966 | + | 0.812497i | \(0.301892\pi\) | |||||||
\(578\) | −4.57992 | − | 0.584310i | −0.190499 | − | 0.0243041i | ||||
\(579\) | −9.93757 | + | 17.2124i | −0.412991 | + | 0.715322i | ||||
\(580\) | −23.1830 | + | 6.41129i | −0.962623 | + | 0.266214i | ||||
\(581\) | 19.5744 | − | 25.9609i | 0.812082 | − | 1.07704i | ||||
\(582\) | 3.24593 | + | 2.47010i | 0.134548 | + | 0.102389i | ||||
\(583\) | 3.00267 | + | 1.73359i | 0.124358 | + | 0.0717981i | ||||
\(584\) | −5.04376 | + | 0.725764i | −0.208712 | + | 0.0300323i | ||||
\(585\) | −0.712838 | − | 1.23467i | −0.0294722 | − | 0.0510474i | ||||
\(586\) | 8.97722 | − | 3.76067i | 0.370846 | − | 0.155352i | ||||
\(587\) | −29.8450 | −1.23184 | −0.615918 | − | 0.787810i | \(-0.711215\pi\) | ||||
−0.615918 | + | 0.787810i | \(0.711215\pi\) | |||||||
\(588\) | −0.348554 | − | 13.9957i | −0.0143741 | − | 0.577171i | ||||
\(589\) | −0.399562 | −0.0164636 | ||||||||
\(590\) | −17.2868 | + | 7.24166i | −0.711687 | + | 0.298134i | ||||
\(591\) | −9.50990 | − | 16.4716i | −0.391185 | − | 0.677553i | ||||
\(592\) | −19.1978 | − | 10.6776i | −0.789027 | − | 0.438847i | ||||
\(593\) | 22.9586 | + | 13.2551i | 0.942796 | + | 0.544323i | 0.890836 | − | 0.454326i | \(-0.150120\pi\) |
0.0519600 | + | 0.998649i | \(0.483453\pi\) | |||||||
\(594\) | −1.53309 | − | 1.16666i | −0.0629035 | − | 0.0478686i | ||||
\(595\) | −27.6440 | + | 36.6634i | −1.13330 | + | 1.50305i | ||||
\(596\) | −11.3842 | − | 41.1651i | −0.466317 | − | 1.68619i | ||||
\(597\) | 7.42568 | − | 12.8616i | 0.303913 | − | 0.526392i | ||||
\(598\) | −1.66469 | − | 0.212383i | −0.0680744 | − | 0.00868500i | ||||
\(599\) | −18.0000 | + | 10.3923i | −0.735460 | + | 0.424618i | −0.820416 | − | 0.571767i | \(-0.806258\pi\) |
0.0849563 | + | 0.996385i | \(0.472925\pi\) | |||||||
\(600\) | 21.9270 | − | 17.2476i | 0.895164 | − | 0.704128i | ||||
\(601\) | 10.8255i | 0.441581i | 0.975321 | + | 0.220790i | \(0.0708637\pi\) | ||||
−0.975321 | + | 0.220790i | \(0.929136\pi\) | |||||||
\(602\) | 5.82006 | − | 22.8552i | 0.237208 | − | 0.931508i | ||||
\(603\) | 9.76735i | 0.397757i | ||||||||
\(604\) | 11.1544 | − | 43.0036i | 0.453868 | − | 1.74979i | ||||
\(605\) | 30.5307 | − | 17.6269i | 1.24125 | − | 0.716635i | ||||
\(606\) | −1.10761 | + | 8.68164i | −0.0449937 | + | 0.352668i | ||||
\(607\) | −6.95330 | + | 12.0435i | −0.282226 | + | 0.488830i | −0.971933 | − | 0.235259i | \(-0.924406\pi\) |
0.689707 | + | 0.724089i | \(0.257739\pi\) | |||||||
\(608\) | −0.0414278 | + | 0.372099i | −0.00168012 | + | 0.0150906i | ||||
\(609\) | 8.19164 | + | 1.00815i | 0.331942 | + | 0.0408521i | ||||
\(610\) | −4.72746 | + | 6.21230i | −0.191409 | + | 0.251529i | ||||
\(611\) | 0.456579 | + | 0.263606i | 0.0184712 | + | 0.0106644i | ||||
\(612\) | −6.41706 | − | 6.31509i | −0.259394 | − | 0.255272i | ||||
\(613\) | −0.322444 | − | 0.558490i | −0.0130234 | − | 0.0225572i | 0.859440 | − | 0.511236i | \(-0.170812\pi\) |
−0.872464 | + | 0.488679i | \(0.837479\pi\) | |||||||
\(614\) | −9.51941 | − | 22.7241i | −0.384172 | − | 0.917069i | ||||
\(615\) | −32.5779 | −1.31367 | ||||||||
\(616\) | 4.91542 | − | 8.93083i | 0.198048 | − | 0.359833i | ||||
\(617\) | 12.3626 | 0.497701 | 0.248850 | − | 0.968542i | \(-0.419947\pi\) | ||||
0.248850 | + | 0.968542i | \(0.419947\pi\) | |||||||
\(618\) | −9.72234 | − | 23.2085i | −0.391090 | − | 0.933584i | ||||
\(619\) | −5.69875 | − | 9.87053i | −0.229052 | − | 0.396730i | 0.728475 | − | 0.685072i | \(-0.240229\pi\) |
−0.957527 | + | 0.288342i | \(0.906896\pi\) | |||||||
\(620\) | −33.1777 | − | 32.6505i | −1.33245 | − | 1.31128i | ||||
\(621\) | 2.77902 | + | 1.60447i | 0.111518 | + | 0.0643852i | ||||
\(622\) | 21.5099 | − | 28.2659i | 0.862469 | − | 1.13336i | ||||
\(623\) | 3.14865 | − | 1.33548i | 0.126148 | − | 0.0535047i | ||||
\(624\) | 0.760017 | + | 1.26901i | 0.0304250 | + | 0.0508009i | ||||
\(625\) | −11.4837 | + | 19.8904i | −0.459349 | + | 0.795616i | ||||
\(626\) | −3.95474 | + | 30.9979i | −0.158063 | + | 1.23893i | ||||
\(627\) | −0.0780814 | + | 0.0450803i | −0.00311827 | + | 0.00180033i | ||||
\(628\) | 2.73622 | − | 10.5489i | 0.109187 | − | 0.420948i | ||||
\(629\) | − | 24.7224i | − | 0.985745i | ||||||
\(630\) | −13.8861 | + | 3.90668i | −0.553235 | + | 0.155646i | ||||
\(631\) | − | 10.8050i | − | 0.430140i | −0.976599 | − | 0.215070i | \(-0.931002\pi\) | ||
0.976599 | − | 0.215070i | \(-0.0689979\pi\) | |||||||
\(632\) | 21.8387 | + | 27.7637i | 0.868697 | + | 1.10438i | ||||
\(633\) | −17.0327 | + | 9.83381i | −0.676988 | + | 0.390859i | ||||
\(634\) | −2.27719 | − | 0.290526i | −0.0904387 | − | 0.0115383i | ||||
\(635\) | −5.21065 | + | 9.02511i | −0.206778 | + | 0.358150i | ||||
\(636\) | 1.35682 | + | 4.90621i | 0.0538014 | + | 0.194544i | ||||
\(637\) | −2.48871 | + | 0.712111i | −0.0986062 | + | 0.0282149i | ||||
\(638\) | 4.78250 | + | 3.63941i | 0.189341 | + | 0.144085i | ||||
\(639\) | 11.2166 | + | 6.47590i | 0.443722 | + | 0.256183i | ||||
\(640\) | −33.8464 | + | 27.5121i | −1.33790 | + | 1.08751i | ||||
\(641\) | −1.12662 | − | 1.95136i | −0.0444988 | − | 0.0770741i | 0.842918 | − | 0.538042i | \(-0.180836\pi\) |
−0.887417 | + | 0.460968i | \(0.847502\pi\) | |||||||
\(642\) | 7.94783 | − | 3.32945i | 0.313676 | − | 0.131403i | ||||
\(643\) | −22.0574 | −0.869860 | −0.434930 | − | 0.900464i | \(-0.643227\pi\) | ||||
−0.434930 | + | 0.900464i | \(0.643227\pi\) | |||||||
\(644\) | −6.23902 | + | 15.7924i | −0.245852 | + | 0.622306i | ||||
\(645\) | −24.3008 | −0.956844 | ||||||||
\(646\) | −0.388629 | + | 0.162802i | −0.0152904 | + | 0.00640535i | ||||
\(647\) | −2.26417 | − | 3.92166i | −0.0890137 | − | 0.154176i | 0.818081 | − | 0.575103i | \(-0.195038\pi\) |
−0.907094 | + | 0.420927i | \(0.861705\pi\) | |||||||
\(648\) | −0.402843 | − | 2.79959i | −0.0158252 | − | 0.109978i | ||||
\(649\) | 4.05546 | + | 2.34142i | 0.159191 | + | 0.0919089i | ||||
\(650\) | −4.10483 | − | 3.12371i | −0.161004 | − | 0.122522i | ||||
\(651\) | 6.23683 | + | 14.7045i | 0.244441 | + | 0.576316i | ||||
\(652\) | −9.16942 | + | 2.53581i | −0.359102 | + | 0.0993101i | ||||
\(653\) | −20.6749 | + | 35.8099i | −0.809071 | + | 1.40135i | 0.104438 | + | 0.994531i | \(0.466696\pi\) |
−0.913508 | + | 0.406820i | \(0.866638\pi\) | |||||||
\(654\) | 11.0309 | + | 1.40733i | 0.431342 | + | 0.0550311i | ||||
\(655\) | 25.9519 | − | 14.9833i | 1.01403 | − | 0.585448i | ||||
\(656\) | 33.7964 | − | 0.541359i | 1.31953 | − | 0.0211365i | ||||
\(657\) | − | 1.80161i | − | 0.0702874i | ||||||
\(658\) | 3.72473 | − | 3.81865i | 0.145205 | − | 0.148867i | ||||
\(659\) | − | 10.6413i | − | 0.414526i | −0.978285 | − | 0.207263i | \(-0.933544\pi\) | ||
0.978285 | − | 0.207263i | \(-0.0664556\pi\) | |||||||
\(660\) | −10.1673 | − | 2.63723i | −0.395762 | − | 0.102654i | ||||
\(661\) | 41.7871 | − | 24.1258i | 1.62533 | − | 0.938384i | 0.639867 | − | 0.768485i | \(-0.278989\pi\) |
0.985462 | − | 0.169899i | \(-0.0543441\pi\) | |||||||
\(662\) | 4.77288 | − | 37.4106i | 0.185503 | − | 1.45400i | ||||
\(663\) | −0.832347 | + | 1.44167i | −0.0323257 | + | 0.0559897i | ||||
\(664\) | 32.2700 | + | 12.9147i | 1.25232 | + | 0.501189i | ||||
\(665\) | −0.0824618 | + | 0.670040i | −0.00319773 | + | 0.0259830i | ||||
\(666\) | 4.70334 | − | 6.18059i | 0.182251 | − | 0.239493i | ||||
\(667\) | −8.66919 | − | 5.00516i | −0.335672 | − | 0.193801i | ||||
\(668\) | −19.7265 | + | 20.0450i | −0.763241 | + | 0.775565i | ||||
\(669\) | 4.05162 | + | 7.01760i | 0.156645 | + | 0.271316i | ||||
\(670\) | 20.5761 | + | 49.1179i | 0.794924 | + | 1.89759i | ||||
\(671\) | 1.95049 | 0.0752977 | ||||||||
\(672\) | 14.3405 | − | 4.28355i | 0.553198 | − | 0.165242i | ||||
\(673\) | −0.148647 | −0.00572991 | −0.00286496 | − | 0.999996i | \(-0.500912\pi\) | ||||
−0.00286496 | + | 0.999996i | \(0.500912\pi\) | |||||||
\(674\) | −16.3067 | − | 38.9262i | −0.628110 | − | 1.49938i | ||||
\(675\) | 4.93162 | + | 8.54182i | 0.189818 | + | 0.328775i | ||||
\(676\) | −18.0451 | + | 18.3365i | −0.694043 | + | 0.705249i | ||||
\(677\) | −34.3935 | − | 19.8571i | −1.32185 | − | 0.763170i | −0.337825 | − | 0.941209i | \(-0.609691\pi\) |
−0.984023 | + | 0.178039i | \(0.943025\pi\) | |||||||
\(678\) | −4.03090 | + | 5.29696i | −0.154806 | + | 0.203428i | ||||
\(679\) | −6.09304 | − | 4.59412i | −0.233830 | − | 0.176306i | ||||
\(680\) | −45.5735 | − | 18.2389i | −1.74766 | − | 0.699430i | ||||
\(681\) | 6.04300 | − | 10.4668i | 0.231568 | − | 0.401088i | ||||
\(682\) | −1.47190 | + | 11.5370i | −0.0563618 | + | 0.441773i | ||||
\(683\) | −36.9070 | + | 21.3083i | −1.41221 | + | 0.815339i | −0.995596 | − | 0.0937450i | \(-0.970116\pi\) |
−0.416613 | + | 0.909084i | \(0.636783\pi\) | |||||||
\(684\) | −0.128130 | − | 0.0332348i | −0.00489916 | − | 0.00127076i | ||||
\(685\) | 10.9928i | 0.420013i | ||||||||
\(686\) | 0.768365 | + | 26.1803i | 0.0293363 | + | 0.999570i | ||||
\(687\) | − | 23.7826i | − | 0.907362i | ||||||
\(688\) | 25.2097 | − | 0.403816i | 0.961112 | − | 0.0153954i | ||||
\(689\) | 0.815106 | − | 0.470602i | 0.0310531 | − | 0.0179285i | ||||
\(690\) | 17.3551 | + | 2.21418i | 0.660698 | + | 0.0842925i | ||||
\(691\) | −2.22317 | + | 3.85064i | −0.0845733 | + | 0.146485i | −0.905209 | − | 0.424966i | \(-0.860286\pi\) |
0.820636 | + | 0.571451i | \(0.193619\pi\) | |||||||
\(692\) | −3.42568 | + | 0.947375i | −0.130225 | + | 0.0360138i | ||||
\(693\) | 2.87782 | + | 2.16986i | 0.109319 | + | 0.0824262i | ||||
\(694\) | −1.06618 | − | 0.811350i | −0.0404718 | − | 0.0307984i | ||||
\(695\) | 23.8942 | + | 13.7953i | 0.906357 | + | 0.523285i | ||||
\(696\) | 1.25667 | + | 8.73335i | 0.0476340 | + | 0.331037i | ||||
\(697\) | 19.0198 | + | 32.9433i | 0.720427 | + | 1.24782i | ||||
\(698\) | 8.37139 | − | 3.50688i | 0.316862 | − | 0.132737i | ||||
\(699\) | −19.9294 | −0.753800 | ||||||||
\(700\) | −40.8779 | + | 32.4491i | −1.54504 | + | 1.22646i | ||||
\(701\) | −24.9907 | −0.943885 | −0.471942 | − | 0.881629i | \(-0.656447\pi\) | ||||
−0.471942 | + | 0.881629i | \(0.656447\pi\) | |||||||
\(702\) | −0.482359 | + | 0.202066i | −0.0182055 | + | 0.00762649i | ||||
\(703\) | −0.181739 | − | 0.314782i | −0.00685442 | − | 0.0118722i | ||||
\(704\) | 10.5914 | + | 2.56692i | 0.399179 | + | 0.0967444i | ||||
\(705\) | −4.76002 | − | 2.74820i | −0.179273 | − | 0.103503i | ||||
\(706\) | −15.6131 | − | 11.8814i | −0.587608 | − | 0.447161i | ||||
\(707\) | 2.00000 | − | 16.2509i | 0.0752177 | − | 0.611178i | ||||
\(708\) | 1.83254 | + | 6.62642i | 0.0688712 | + | 0.249036i | ||||
\(709\) | −9.07409 | + | 15.7168i | −0.340785 | + | 0.590257i | −0.984579 | − | 0.174942i | \(-0.944026\pi\) |
0.643794 | + | 0.765199i | \(0.277359\pi\) | |||||||
\(710\) | 70.0481 | + | 8.93681i | 2.62886 | + | 0.335392i | ||||
\(711\) | −10.8156 | + | 6.24438i | −0.405616 | + | 0.234183i | ||||
\(712\) | 2.26050 | + | 2.87379i | 0.0847158 | + | 0.107700i | ||||
\(713\) | − | 19.3725i | − | 0.725507i | ||||||
\(714\) | 12.0576 | + | 11.7610i | 0.451243 | + | 0.440145i | ||||
\(715\) | 1.94213i | 0.0726316i | ||||||||
\(716\) | 1.63285 | − | 6.29512i | 0.0610225 | − | 0.235260i | ||||
\(717\) | −8.32244 | + | 4.80497i | −0.310807 | + | 0.179445i | ||||
\(718\) | 1.23998 | − | 9.71918i | 0.0462757 | − | 0.362717i | ||||
\(719\) | −20.5818 | + | 35.6488i | −0.767573 | + | 1.32948i | 0.171302 | + | 0.985219i | \(0.445203\pi\) |
−0.938875 | + | 0.344257i | \(0.888131\pi\) | |||||||
\(720\) | −7.92349 | − | 13.2299i | −0.295291 | − | 0.493049i | ||||
\(721\) | 18.3815 | + | 43.3380i | 0.684562 | + | 1.61399i | ||||
\(722\) | 16.2682 | − | 21.3778i | 0.605440 | − | 0.795601i | ||||
\(723\) | 9.01386 | + | 5.20415i | 0.335229 | + | 0.193545i | ||||
\(724\) | −33.5013 | − | 32.9689i | −1.24507 | − | 1.22528i | ||||
\(725\) | −15.3842 | − | 26.6463i | −0.571357 | − | 0.989619i | ||||
\(726\) | −4.99664 | − | 11.9276i | −0.185443 | − | 0.442677i | ||||
\(727\) | −5.77231 | −0.214083 | −0.107042 | − | 0.994255i | \(-0.534138\pi\) | ||||
−0.107042 | + | 0.994255i | \(0.534138\pi\) | |||||||
\(728\) | −1.43239 | − | 2.36776i | −0.0530880 | − | 0.0877549i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −3.79530 | − | 9.05988i | −0.140470 | − | 0.335321i | ||||
\(731\) | 14.1875 | + | 24.5734i | 0.524742 | + | 0.908880i | ||||
\(732\) | 2.04103 | + | 2.00860i | 0.0754388 | + | 0.0742401i | ||||
\(733\) | −6.63928 | − | 3.83319i | −0.245227 | − | 0.141582i | 0.372350 | − | 0.928093i | \(-0.378552\pi\) |
−0.617577 | + | 0.786510i | \(0.711886\pi\) | |||||||
\(734\) | 16.5444 | − | 21.7407i | 0.610663 | − | 0.802465i | ||||
\(735\) | 25.9458 | − | 7.42404i | 0.957024 | − | 0.273840i | ||||
\(736\) | −18.0410 | − | 2.00860i | −0.665001 | − | 0.0740381i | ||||
\(737\) | 6.65280 | − | 11.5230i | 0.245059 | − | 0.424455i | ||||
\(738\) | −1.51238 | + | 11.8543i | −0.0556714 | + | 0.436361i | ||||
\(739\) | 17.3753 | − | 10.0317i | 0.639162 | − | 0.369021i | −0.145129 | − | 0.989413i | \(-0.546360\pi\) |
0.784292 | + | 0.620392i | \(0.213027\pi\) | |||||||
\(740\) | 10.6319 | − | 40.9890i | 0.390836 | − | 1.50679i | ||||
\(741\) | 0.0244750i | 0.000899113i | ||||||||
\(742\) | −2.57912 | − | 9.16732i | −0.0946823 | − | 0.336543i | ||||
\(743\) | − | 8.26368i | − | 0.303165i | −0.988445 | − | 0.151583i | \(-0.951563\pi\) | ||
0.988445 | − | 0.151583i | \(-0.0484369\pi\) | |||||||
\(744\) | −13.4209 | + | 10.5568i | −0.492036 | + | 0.387031i | ||||
\(745\) | 71.3000 | − | 41.1651i | 2.61223 | − | 1.50817i | ||||
\(746\) | 15.8193 | + | 2.01825i | 0.579187 | + | 0.0738933i | ||||
\(747\) | −6.14446 | + | 10.6425i | −0.224814 | + | 0.389390i | ||||
\(748\) | 3.26912 | + | 11.8210i | 0.119531 | + | 0.432220i | ||||
\(749\) | −14.8412 | + | 6.29480i | −0.542286 | + | 0.230007i | ||||
\(750\) | 21.1006 | + | 16.0572i | 0.770484 | + | 0.586326i | ||||
\(751\) | 23.4113 | + | 13.5165i | 0.854289 | + | 0.493224i | 0.862096 | − | 0.506746i | \(-0.169152\pi\) |
−0.00780684 | + | 0.999970i | \(0.502485\pi\) | |||||||
\(752\) | 4.98372 | + | 2.77189i | 0.181738 | + | 0.101080i | ||||
\(753\) | 10.3430 | + | 17.9146i | 0.376921 | + | 0.652846i | ||||
\(754\) | 1.50472 | − | 0.630347i | 0.0547988 | − | 0.0229559i | ||||
\(755\) | 85.6388 | 3.11672 | ||||||||
\(756\) | 0.776903 | + | 5.23416i | 0.0282557 | + | 0.190365i | ||||
\(757\) | 21.9417 | 0.797486 | 0.398743 | − | 0.917063i | \(-0.369447\pi\) | ||||
0.398743 | + | 0.917063i | \(0.369447\pi\) | |||||||
\(758\) | 32.7997 | − | 13.7402i | 1.19134 | − | 0.499067i | ||||
\(759\) | −2.18569 | − | 3.78573i | −0.0793357 | − | 0.137413i | ||||
\(760\) | −0.714350 | + | 0.102790i | −0.0259122 | + | 0.00372859i | ||||
\(761\) | 1.02680 | + | 0.592825i | 0.0372216 | + | 0.0214899i | 0.518495 | − | 0.855080i | \(-0.326492\pi\) |
−0.481274 | + | 0.876570i | \(0.659826\pi\) | |||||||
\(762\) | 3.04211 | + | 2.31500i | 0.110204 | + | 0.0838636i | ||||
\(763\) | −20.6484 | − | 2.54120i | −0.747523 | − | 0.0919977i | ||||
\(764\) | 46.0653 | − | 12.7394i | 1.66659 | − | 0.460896i | ||||
\(765\) | 8.67756 | − | 15.0300i | 0.313738 | − | 0.543410i | ||||
\(766\) | −24.9208 | − | 3.17942i | −0.900426 | − | 0.114877i | ||||
\(767\) | 1.10090 | − | 0.635603i | 0.0397511 | − | 0.0229503i | ||||
\(768\) | 8.43969 | + | 13.5931i | 0.304541 | + | 0.490498i | ||||
\(769\) | 19.0892i | 0.688373i | 0.938901 | + | 0.344186i | \(0.111845\pi\) | ||||
−0.938901 | + | 0.344186i | \(0.888155\pi\) | |||||||
\(770\) | 19.0430 | + | 4.84929i | 0.686262 | + | 0.174756i | ||||
\(771\) | 17.7514i | 0.639301i | ||||||||
\(772\) | 38.4770 | + | 9.98031i | 1.38482 | + | 0.359199i | ||||
\(773\) | −30.7887 | + | 17.7759i | −1.10739 | + | 0.639353i | −0.938153 | − | 0.346222i | \(-0.887465\pi\) |
−0.169240 | + | 0.985575i | \(0.554131\pi\) | |||||||
\(774\) | −1.12813 | + | 8.84246i | −0.0405498 | + | 0.317836i | ||||
\(775\) | 29.7725 | − | 51.5674i | 1.06946 | − | 1.85236i | ||||
\(776\) | 3.03110 | − | 7.57379i | 0.108810 | − | 0.271883i | ||||
\(777\) | −8.74770 | + | 11.6018i | −0.313822 | + | 0.416212i | ||||
\(778\) | −12.1138 | + | 15.9185i | −0.434299 | + | 0.570707i | ||||
\(779\) | 0.484346 | + | 0.279637i | 0.0173535 | + | 0.0100190i | ||||
\(780\) | −2.00000 | + | 2.03229i | −0.0716115 | + | 0.0727678i | ||||
\(781\) | −8.82182 | − | 15.2798i | −0.315670 | − | 0.546756i | ||||
\(782\) | −7.89335 | − | 18.8425i | −0.282266 | − | 0.673806i | ||||
\(783\) | −3.11951 | −0.111482 | ||||||||
\(784\) | −26.7928 | + | 8.13287i | −0.956887 | + | 0.290460i | ||||
\(785\) | 21.0075 | 0.749790 | ||||||||
\(786\) | −4.24728 | − | 10.1388i | −0.151496 | − | 0.361640i | ||||
\(787\) | −21.3018 | − | 36.8958i | −0.759327 | − | 1.31519i | −0.943194 | − | 0.332241i | \(-0.892195\pi\) |
0.183868 | − | 0.982951i | \(-0.441138\pi\) | |||||||
\(788\) | −26.6818 | + | 27.1126i | −0.950500 | + | 0.965847i | ||||
\(789\) | 1.80241 | + | 1.04062i | 0.0641675 | + | 0.0370471i | ||||
\(790\) | −41.2347 | + | 54.1860i | −1.46706 | + | 1.92785i | ||||
\(791\) | 7.49704 | − | 9.94309i | 0.266564 | − | 0.353536i | ||||
\(792\) | −1.43162 | + | 3.57719i | −0.0508706 | + | 0.127110i | ||||
\(793\) | 0.264740 | − | 0.458543i | 0.00940118 | − | 0.0162833i | ||||
\(794\) | −2.26417 | + | 17.7469i | −0.0803524 | + | 0.629814i | ||||
\(795\) | −8.49781 | + | 4.90621i | −0.301386 | + | 0.174005i | ||||
\(796\) | −28.7513 | − | 7.45761i | −1.01906 | − | 0.264328i | ||||
\(797\) | − | 23.1179i | − | 0.818879i | −0.912337 | − | 0.409440i | \(-0.865724\pi\) | ||
0.912337 | − | 0.409440i | \(-0.134276\pi\) | |||||||
\(798\) | 0.239983 | + | 0.0611114i | 0.00849529 | + | 0.00216332i | ||||
\(799\) | 6.41788i | 0.227048i | ||||||||
\(800\) | −44.9362 | − | 33.0728i | −1.58874 | − | 1.16930i | ||||
\(801\) | −1.11951 | + | 0.646349i | −0.0395559 | + | 0.0228376i | ||||
\(802\) | −34.7635 | − | 4.43517i | −1.22754 | − | 0.156611i | ||||
\(803\) | −1.22712 | + | 2.12544i | −0.0433042 | + | 0.0750051i | ||||
\(804\) | 18.8280 | − | 5.20690i | 0.664011 | − | 0.183633i | ||||
\(805\) | −32.4865 | − | 3.99812i | −1.14500 | − | 0.140915i | ||||
\(806\) | 2.51246 | + | 1.91194i | 0.0884976 | + | 0.0673453i | ||||
\(807\) | −3.08075 | − | 1.77867i | −0.108448 | − | 0.0626123i | ||||
\(808\) | 17.3256 | − | 2.49304i | 0.609512 | − | 0.0877047i | ||||
\(809\) | 16.0852 | + | 27.8604i | 0.565525 | + | 0.979518i | 0.997001 | + | 0.0773937i | \(0.0246598\pi\) |
−0.431475 | + | 0.902125i | \(0.642007\pi\) | |||||||
\(810\) | 5.02878 | − | 2.10662i | 0.176693 | − | 0.0740191i | ||||
\(811\) | 41.0797 | 1.44250 | 0.721251 | − | 0.692673i | \(-0.243567\pi\) | ||||
0.721251 | + | 0.692673i | \(0.243567\pi\) | |||||||
\(812\) | −2.42356 | − | 16.3280i | −0.0850502 | − | 0.573001i | ||||
\(813\) | −12.3680 | −0.433764 | ||||||||
\(814\) | −9.75851 | + | 4.08796i | −0.342035 | + | 0.143283i | ||||
\(815\) | −9.16942 | − | 15.8819i | −0.321191 | − | 0.556319i | ||||
\(816\) | −8.75236 | + | 15.7363i | −0.306394 | + | 0.550882i | ||||
\(817\) | 0.361288 | + | 0.208590i | 0.0126399 | + | 0.00729764i | ||||
\(818\) | 6.52359 | + | 4.96435i | 0.228092 | + | 0.173574i | ||||
\(819\) | 0.900723 | − | 0.382035i | 0.0314738 | − | 0.0133494i | ||||
\(820\) | 17.3670 | + | 62.7985i | 0.606482 | + | 2.19302i | ||||
\(821\) | 14.6233 | − | 25.3283i | 0.510358 | − | 0.883965i | −0.489570 | − | 0.871964i | \(-0.662846\pi\) |
0.999928 | − | 0.0120014i | \(-0.00382026\pi\) | |||||||
\(822\) | 4.00000 | + | 0.510324i | 0.139516 | + | 0.0177996i | ||||
\(823\) | −17.0790 | + | 9.86059i | −0.595338 | + | 0.343719i | −0.767205 | − | 0.641401i | \(-0.778353\pi\) |
0.171867 | + | 0.985120i | \(0.445020\pi\) | |||||||
\(824\) | −39.5549 | + | 31.1135i | −1.37796 | + | 1.08389i | ||||
\(825\) | − | 13.4362i | − | 0.467790i | ||||||
\(826\) | −3.48340 | − | 12.3815i | −0.121203 | − | 0.430809i | ||||
\(827\) | − | 16.1125i | − | 0.560286i | −0.959958 | − | 0.280143i | \(-0.909618\pi\) | ||
0.959958 | − | 0.280143i | \(-0.0903819\pi\) | |||||||
\(828\) | 1.61137 | − | 6.21230i | 0.0559990 | − | 0.215892i | ||||
\(829\) | −40.9056 | + | 23.6169i | −1.42071 | + | 0.820248i | −0.996360 | − | 0.0852497i | \(-0.972831\pi\) |
−0.424351 | + | 0.905498i | \(0.639498\pi\) | |||||||
\(830\) | −8.47941 | + | 66.4630i | −0.294325 | + | 2.30696i | ||||
\(831\) | 5.93162 | − | 10.2739i | 0.205766 | − | 0.356397i | ||||
\(832\) | 2.04103 | − | 2.14154i | 0.0707601 | − | 0.0742446i | ||||
\(833\) | −22.6551 | − | 21.9024i | −0.784954 | − | 0.758875i | ||||
\(834\) | 6.12901 | − | 8.05406i | 0.212230 | − | 0.278889i | ||||
\(835\) | −46.9492 | − | 27.1062i | −1.62475 | − | 0.938047i | ||||
\(836\) | 0.128523 | + | 0.126481i | 0.00444508 | + | 0.00437444i | ||||
\(837\) | −3.01852 | − | 5.22824i | −0.104335 | − | 0.180714i | ||||
\(838\) | −1.32763 | − | 3.16922i | −0.0458621 | − | 0.109479i | ||||
\(839\) | −25.3551 | −0.875356 | −0.437678 | − | 0.899132i | \(-0.644199\pi\) | ||||
−0.437678 | + | 0.899132i | \(0.644199\pi\) | |||||||
\(840\) | 14.9333 | + | 24.6848i | 0.515247 | + | 0.851707i | ||||
\(841\) | −19.2687 | −0.664437 | ||||||||
\(842\) | 14.1728 | + | 33.8323i | 0.488426 | + | 1.16594i | ||||
\(843\) | 9.67141 | + | 16.7514i | 0.333101 | + | 0.576948i | ||||
\(844\) | 28.0361 | + | 27.5906i | 0.965042 | + | 0.949707i | ||||
\(845\) | −42.9475 | − | 24.7958i | −1.47744 | − | 0.853000i | ||||
\(846\) | −1.22098 | + | 1.60447i | −0.0419780 | + | 0.0551628i | ||||
\(847\) | 9.44687 | + | 22.2728i | 0.324598 | + | 0.765304i | ||||
\(848\) | 8.73412 | − | 5.23093i | 0.299931 | − | 0.179631i | ||||
\(849\) | −12.4707 | + | 21.5998i | −0.427992 | + | 0.741304i | ||||
\(850\) | 7.94668 | − | 62.2873i | 0.272569 | − | 2.13644i | ||||
\(851\) | 15.2620 | − | 8.81153i | 0.523175 | − | 0.302055i | ||||
\(852\) | 6.50376 | − | 25.0739i | 0.222815 | − | 0.859016i | ||||
\(853\) | − | 24.3802i | − | 0.834763i | −0.908731 | − | 0.417382i | \(-0.862948\pi\) | ||
0.908731 | − | 0.417382i | \(-0.137052\pi\) | |||||||
\(854\) | −3.83508 | − | 3.74075i | −0.131234 | − | 0.128006i | ||||
\(855\) | − | 0.255162i | − | 0.00872636i | ||||||
\(856\) | −10.6549 | − | 13.5457i | −0.364178 | − | 0.462982i | ||||
\(857\) | −22.4742 | + | 12.9755i | −0.767705 | + | 0.443235i | −0.832055 | − | 0.554693i | \(-0.812836\pi\) |
0.0643503 | + | 0.997927i | \(0.479502\pi\) | |||||||
\(858\) | 0.706693 | + | 0.0901606i | 0.0241261 | + | 0.00307803i | ||||
\(859\) | 28.4213 | − | 49.2271i | 0.969722 | − | 1.67961i | 0.273368 | − | 0.961909i | \(-0.411862\pi\) |
0.696354 | − | 0.717698i | \(-0.254804\pi\) | |||||||
\(860\) | 12.9546 | + | 46.8433i | 0.441748 | + | 1.59734i | ||||
\(861\) | 2.73088 | − | 22.1896i | 0.0930681 | − | 0.756221i | ||||
\(862\) | 16.6052 | + | 12.6363i | 0.565576 | + | 0.430395i | ||||
\(863\) | 15.3044 | + | 8.83597i | 0.520966 | + | 0.300780i | 0.737330 | − | 0.675533i | \(-0.236086\pi\) |
−0.216364 | + | 0.976313i | \(0.569420\pi\) | |||||||
\(864\) | −5.18187 | + | 2.26898i | −0.176291 | + | 0.0771922i | ||||
\(865\) | −3.42568 | − | 5.93345i | −0.116476 | − | 0.201743i | ||||
\(866\) | −46.6183 | + | 19.5290i | −1.58415 | + | 0.663622i | ||||
\(867\) | −3.26474 | −0.110876 | ||||||||
\(868\) | 25.0203 | − | 19.8613i | 0.849245 | − | 0.674135i | ||||
\(869\) | 17.0129 | 0.577122 | ||||||||
\(870\) | −15.6873 | + | 6.57162i | −0.531850 | + | 0.222799i | ||||
\(871\) | −1.80597 | − | 3.12803i | −0.0611930 | − | 0.105989i | ||||
\(872\) | −3.16765 | − | 22.0139i | −0.107270 | − | 0.745485i | ||||
\(873\) | 2.49781 | + | 1.44211i | 0.0845381 | + | 0.0488081i | ||||
\(874\) | −0.239018 | − | 0.181889i | −0.00808491 | − | 0.00615250i | ||||
\(875\) | −39.6086 | − | 29.8647i | −1.33901 | − | 1.00961i | ||||
\(876\) | −3.47286 | + | 0.960423i | −0.117337 | + | 0.0324497i | ||||
\(877\) | 6.17283 | − | 10.6917i | 0.208442 | − | 0.361032i | −0.742782 | − | 0.669533i | \(-0.766494\pi\) |
0.951224 | + | 0.308502i | \(0.0998275\pi\) | |||||||
\(878\) | −27.8303 | − | 3.55062i | −0.939227 | − | 0.119827i | ||||
\(879\) | 5.96028 | − | 3.44117i | 0.201035 | − | 0.116068i | ||||
\(880\) | 0.336461 | + | 21.0048i | 0.0113421 | + | 0.708072i | ||||
\(881\) | 33.0442i | 1.11329i | 0.830751 | + | 0.556644i | \(0.187911\pi\) | ||||
−0.830751 | + | 0.556644i | \(0.812089\pi\) | |||||||
\(882\) | −1.49693 | − | 9.78566i | −0.0504042 | − | 0.329500i | ||||
\(883\) | 39.2680i | 1.32147i | 0.750618 | + | 0.660737i | \(0.229756\pi\) | ||||
−0.750618 | + | 0.660737i | \(0.770244\pi\) | |||||||
\(884\) | 3.22274 | + | 0.835927i | 0.108393 | + | 0.0281153i | ||||
\(885\) | −11.4773 | + | 6.62642i | −0.385805 | + | 0.222745i | ||||
\(886\) | 3.39709 | − | 26.6269i | 0.114128 | − | 0.894549i | ||||
\(887\) | −19.7517 | + | 34.2109i | −0.663196 | + | 1.14869i | 0.316576 | + | 0.948567i | \(0.397467\pi\) |
−0.979771 | + | 0.200121i | \(0.935866\pi\) | |||||||
\(888\) | −14.4213 | − | 5.77153i | −0.483947 | − | 0.193680i | ||||
\(889\) | −5.71045 | − | 4.30565i | −0.191522 | − | 0.144407i | ||||
\(890\) | −4.26816 | + | 5.60873i | −0.143069 | + | 0.188005i | ||||
\(891\) | −1.17975 | − | 0.681127i | −0.0395230 | − | 0.0228186i | ||||
\(892\) | 11.3676 | − | 11.5511i | 0.380614 | − | 0.386760i | ||||
\(893\) | 0.0471792 | + | 0.0817167i | 0.00157879 | + | 0.00273454i | ||||
\(894\) | −11.6689 | − | 27.8553i | −0.390268 | − | 0.931620i | ||||
\(895\) | 12.5363 | 0.419043 | ||||||||
\(896\) | −15.9020 | − | 25.3599i | −0.531249 | − | 0.847216i | ||||
\(897\) | −1.18666 | −0.0396214 | ||||||||
\(898\) | 13.8161 | + | 32.9808i | 0.461048 | + | 1.10058i | ||||
\(899\) | 9.41631 | + | 16.3095i | 0.314052 | + | 0.543953i | ||||
\(900\) | 13.8366 | − | 14.0600i | 0.461220 | − | 0.468667i | ||||
\(901\) | 9.92249 | + | 5.72875i | 0.330566 | + | 0.190852i | ||||
\(902\) | 9.85848 | − | 12.9549i | 0.328251 | − | 0.431351i | ||||
\(903\) | 2.03705 | − | 16.5519i | 0.0677887 | − | 0.550814i | ||||
\(904\) | 12.3595 | + | 4.94638i | 0.411071 | + | 0.164514i | ||||
\(905\) | 45.3026 | − | 78.4664i | 1.50591 | − | 2.60831i | ||||
\(906\) | 3.97565 | − | 31.1618i | 0.132082 | − | 1.03528i | ||||
\(907\) | −4.46372 | + | 2.57713i | −0.148215 | + | 0.0855722i | −0.572274 | − | 0.820063i | \(-0.693938\pi\) |
0.424058 | + | 0.905635i | \(0.360605\pi\) | |||||||
\(908\) | −23.3977 | − | 6.06899i | −0.776480 | − | 0.201406i | ||||
\(909\) | 6.18861i | 0.205263i | ||||||||
\(910\) | 3.72473 | − | 3.81865i | 0.123474 | − | 0.126587i | ||||
\(911\) | − | 25.8365i | − | 0.856002i | −0.903778 | − | 0.428001i | \(-0.859218\pi\) | ||
0.903778 | − | 0.428001i | \(-0.140782\pi\) | |||||||
\(912\) | 0.00424013 | + | 0.264706i | 0.000140405 | + | 0.00876528i | ||||
\(913\) | 14.4978 | − | 8.37031i | 0.479807 | − | 0.277017i | ||||
\(914\) | 32.2197 | + | 4.11062i | 1.06573 | + | 0.135967i | ||||
\(915\) | −2.76002 | + | 4.78049i | −0.0912434 | + | 0.158038i | ||||
\(916\) | −45.8444 | + | 12.6783i | −1.51474 | + | 0.418903i | ||||
\(917\) | 8.03010 | + | 18.9325i | 0.265177 | + | 0.625207i | ||||
\(918\) | −5.06618 | − | 3.85529i | −0.167209 | − | 0.127243i | ||||
\(919\) | −30.6881 | − | 17.7178i | −1.01231 | − | 0.584455i | −0.100440 | − | 0.994943i | \(-0.532025\pi\) |
−0.911866 | + | 0.410488i | \(0.865358\pi\) | |||||||
\(920\) | −4.98372 | − | 34.6348i | −0.164308 | − | 1.14188i | ||||
\(921\) | −8.71065 | − | 15.0873i | −0.287026 | − | 0.497143i | ||||
\(922\) | −3.85887 | + | 1.61653i | −0.127085 | + | 0.0532375i | ||||
\(923\) | −4.78955 | −0.157650 | ||||||||
\(924\) | 2.64858 | − | 6.70415i | 0.0871318 | − | 0.220550i | ||||
\(925\) | 54.1676 | 1.78102 | ||||||||
\(926\) | −4.31319 | + | 1.80685i | −0.141740 | + | 0.0593768i | ||||
\(927\) | −8.89634 | − | 15.4089i | −0.292194 | − | 0.506095i | ||||
\(928\) | 16.1649 | − | 7.07810i | 0.530638 | − | 0.232350i | ||||
\(929\) | 47.6452 | + | 27.5080i | 1.56319 | + | 0.902508i | 0.996931 | + | 0.0782797i | \(0.0249427\pi\) |
0.566258 | + | 0.824228i | \(0.308391\pi\) | |||||||
\(930\) | −26.1934 | − | 19.9328i | −0.858916 | − | 0.653622i | ||||
\(931\) | −0.449470 | − | 0.112334i | −0.0147308 | − | 0.00368159i | ||||
\(932\) | 10.6242 | + | 38.4169i | 0.348008 | + | 1.25839i | ||||
\(933\) | 12.5580 | − | 21.7512i | 0.411132 | − | 0.712101i | ||||
\(934\) | 16.7017 | + | 2.13082i | 0.546498 | + | 0.0697227i | ||||
\(935\) | −20.4746 | + | 11.8210i | −0.669592 | + | 0.386589i | ||||
\(936\) | 0.646653 | + | 0.822096i | 0.0211365 | + | 0.0268710i | ||||
\(937\) | 6.90001i | 0.225414i | 0.993628 | + | 0.112707i | \(0.0359521\pi\) | ||||
−0.993628 | + | 0.112707i | \(0.964048\pi\) | |||||||
\(938\) | −35.1803 | + | 9.89755i | −1.14868 | + | 0.323167i | ||||
\(939\) | 22.0965i | 0.721092i | ||||||||
\(940\) | −2.76002 | + | 10.6407i | −0.0900218 | + | 0.347060i | ||||
\(941\) | 16.2597 | − | 9.38756i | 0.530052 | − | 0.306026i | −0.210986 | − | 0.977489i | \(-0.567667\pi\) |
0.741038 | + | 0.671463i | \(0.234334\pi\) | |||||||
\(942\) | 0.975243 | − | 7.64411i | 0.0317751 | − | 0.249058i | ||||
\(943\) | −13.5580 | + | 23.4832i | −0.441511 | + | 0.764719i | ||||
\(944\) | 11.7965 | − | 7.06499i | 0.383942 | − | 0.229946i | ||||
\(945\) | −9.39039 | + | 3.98287i | −0.305470 | + | 0.129563i | ||||
\(946\) | 7.35374 | − | 9.66346i | 0.239091 | − | 0.314186i | ||||
\(947\) | −25.7931 | − | 14.8916i | −0.838162 | − | 0.483913i | 0.0184768 | − | 0.999829i | \(-0.494118\pi\) |
−0.856639 | + | 0.515916i | \(0.827452\pi\) | |||||||
\(948\) | 17.8027 | + | 17.5198i | 0.578203 | + | 0.569016i | ||||
\(949\) | 0.333115 | + | 0.576972i | 0.0108134 | + | 0.0187293i | ||||
\(950\) | −0.356704 | − | 0.851501i | −0.0115730 | − | 0.0276263i | ||||
\(951\) | −1.62327 | −0.0526380 | ||||||||
\(952\) | 16.2433 | − | 29.5124i | 0.526447 | − | 0.956503i | ||||
\(953\) | −23.2676 | −0.753711 | −0.376856 | − | 0.926272i | \(-0.622995\pi\) | ||||
−0.376856 | + | 0.926272i | \(0.622995\pi\) | |||||||
\(954\) | 1.39075 | + | 3.31990i | 0.0450272 | + | 0.107486i | ||||
\(955\) | 46.0653 | + | 79.7875i | 1.49064 | + | 2.58186i | ||||
\(956\) | 13.6989 | + | 13.4812i | 0.443054 | + | 0.436014i | ||||
\(957\) | 3.68023 | + | 2.12478i | 0.118965 | + | 0.0686844i | ||||
\(958\) | 10.1946 | − | 13.3966i | 0.329372 | − | 0.432823i | ||||
\(959\) | −7.48748 | − | 0.921485i | −0.241783 | − | 0.0297563i | ||||
\(960\) | −21.2786 | + | 22.3264i | −0.686764 | + | 0.720582i | ||||
\(961\) | −2.72297 | + | 4.71632i | −0.0878377 | + | 0.152139i | ||||
\(962\) | −0.363478 | + | 2.84900i | −0.0117190 | + | 0.0918555i | ||||
\(963\) | 5.27683 | − | 3.04658i | 0.170044 | − | 0.0981747i | ||||
\(964\) | 5.22654 | − | 20.1498i | 0.168335 | − | 0.648982i | ||||
\(965\) | 76.6244i | 2.46663i | ||||||||
\(966\) | −2.96295 | + | 11.6354i | −0.0953314 | + | 0.374364i | ||||
\(967\) | 16.9691i | 0.545690i | 0.962058 | + | 0.272845i | \(0.0879646\pi\) | ||||
−0.962058 | + | 0.272845i | \(0.912035\pi\) | |||||||
\(968\) | −20.3286 | + | 15.9903i | −0.653386 | + | 0.513947i | ||||
\(969\) | −0.258024 | + | 0.148970i | −0.00828893 | + | 0.00478561i | ||||
\(970\) | 15.5989 | + | 1.99013i | 0.500851 | + | 0.0638991i | ||||
\(971\) | 22.8349 | − | 39.5512i | 0.732806 | − | 1.26926i | −0.222873 | − | 0.974847i | \(-0.571544\pi\) |
0.955679 | − | 0.294410i | \(-0.0951231\pi\) | |||||||
\(972\) | −0.533092 | − | 1.92764i | −0.0170989 | − | 0.0618292i | ||||
\(973\) | −11.3993 | + | 15.1185i | −0.365445 | + | 0.484678i | ||||
\(974\) | 8.44878 | + | 6.42939i | 0.270717 | + | 0.206011i | ||||
\(975\) | −3.15875 | − | 1.82370i | −0.101161 | − | 0.0584052i | ||||
\(976\) | 2.78381 | − | 5.00516i | 0.0891076 | − | 0.160211i | ||||
\(977\) | 23.7102 | + | 41.0673i | 0.758557 | + | 1.31386i | 0.943586 | + | 0.331127i | \(0.107429\pi\) |
−0.185029 | + | 0.982733i | \(0.559238\pi\) | |||||||
\(978\) | −6.20470 | + | 2.59923i | −0.198404 | + | 0.0831141i | ||||
\(979\) | 1.76098 | 0.0562812 | ||||||||
\(980\) | −28.1424 | − | 46.0565i | −0.898976 | − | 1.47122i | ||||
\(981\) | 7.86325 | 0.251054 | ||||||||
\(982\) | 28.7006 | − | 12.0230i | 0.915873 | − | 0.383671i | ||||
\(983\) | 17.6956 | + | 30.6497i | 0.564402 | + | 0.977573i | 0.997105 | + | 0.0760363i | \(0.0242265\pi\) |
−0.432703 | + | 0.901536i | \(0.642440\pi\) | |||||||
\(984\) | 23.6570 | − | 3.40409i | 0.754159 | − | 0.108518i | ||||
\(985\) | −63.5029 | − | 36.6634i | −2.02337 | − | 1.16819i | ||||
\(986\) | 15.8040 | + | 12.0266i | 0.503302 | + | 0.383005i | ||||
\(987\) | 2.27088 | − | 3.01180i | 0.0722831 | − | 0.0958668i | ||||
\(988\) | 0.0471792 | − | 0.0130475i | 0.00150097 | − | 0.000415095i | ||||
\(989\) | −10.1134 | + | 17.5169i | −0.321586 | + | 0.557004i | ||||
\(990\) | −7.36756 | − | 0.939961i | −0.234156 | − | 0.0298739i | ||||
\(991\) | −10.0136 | + | 5.78134i | −0.318092 | + | 0.183650i | −0.650542 | − | 0.759471i | \(-0.725458\pi\) |
0.332450 | + | 0.943121i | \(0.392125\pi\) | |||||||
\(992\) | 27.5043 | + | 20.2431i | 0.873264 | + | 0.642718i | ||||
\(993\) | − | 26.6677i | − | 0.846274i | ||||||
\(994\) | −11.9590 | + | 46.9625i | −0.379315 | + | 1.48956i | ||||
\(995\) | − | 57.2563i | − | 1.81515i | ||||||
\(996\) | 23.7906 | + | 6.17089i | 0.753833 | + | 0.195532i | ||||
\(997\) | −10.6832 | + | 6.16793i | −0.338339 | + | 0.195340i | −0.659537 | − | 0.751672i | \(-0.729248\pi\) |
0.321198 | + | 0.947012i | \(0.395914\pi\) | |||||||
\(998\) | −0.252703 | + | 1.98073i | −0.00799917 | + | 0.0626988i | ||||
\(999\) | 2.74593 | − | 4.75609i | 0.0868774 | − | 0.150476i |
(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 | 84.2.o.a.19.2 | ✓ | 8 | |
3.2 | odd | 2 | 252.2.bf.g.19.3 | 8 | |||
4.3 | odd | 2 | 84.2.o.b.19.4 | yes | 8 | ||
7.2 | even | 3 | 588.2.b.b.391.4 | 8 | |||
7.3 | odd | 6 | 84.2.o.b.31.4 | yes | 8 | ||
7.4 | even | 3 | 588.2.o.b.31.4 | 8 | |||
7.5 | odd | 6 | 588.2.b.a.391.4 | 8 | |||
7.6 | odd | 2 | 588.2.o.d.19.2 | 8 | |||
8.3 | odd | 2 | 1344.2.bl.i.1279.4 | 8 | |||
8.5 | even | 2 | 1344.2.bl.j.1279.4 | 8 | |||
12.11 | even | 2 | 252.2.bf.f.19.1 | 8 | |||
21.2 | odd | 6 | 1764.2.b.i.1567.5 | 8 | |||
21.5 | even | 6 | 1764.2.b.j.1567.5 | 8 | |||
21.17 | even | 6 | 252.2.bf.f.199.1 | 8 | |||
28.3 | even | 6 | inner | 84.2.o.a.31.2 | yes | 8 | |
28.11 | odd | 6 | 588.2.o.d.31.2 | 8 | |||
28.19 | even | 6 | 588.2.b.b.391.3 | 8 | |||
28.23 | odd | 6 | 588.2.b.a.391.3 | 8 | |||
28.27 | even | 2 | 588.2.o.b.19.4 | 8 | |||
56.3 | even | 6 | 1344.2.bl.j.703.4 | 8 | |||
56.45 | odd | 6 | 1344.2.bl.i.703.4 | 8 | |||
84.23 | even | 6 | 1764.2.b.j.1567.6 | 8 | |||
84.47 | odd | 6 | 1764.2.b.i.1567.6 | 8 | |||
84.59 | odd | 6 | 252.2.bf.g.199.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
84.2.o.a.19.2 | ✓ | 8 | 1.1 | even | 1 | trivial | |
84.2.o.a.31.2 | yes | 8 | 28.3 | even | 6 | inner | |
84.2.o.b.19.4 | yes | 8 | 4.3 | odd | 2 | ||
84.2.o.b.31.4 | yes | 8 | 7.3 | odd | 6 | ||
252.2.bf.f.19.1 | 8 | 12.11 | even | 2 | |||
252.2.bf.f.199.1 | 8 | 21.17 | even | 6 | |||
252.2.bf.g.19.3 | 8 | 3.2 | odd | 2 | |||
252.2.bf.g.199.3 | 8 | 84.59 | odd | 6 | |||
588.2.b.a.391.3 | 8 | 28.23 | odd | 6 | |||
588.2.b.a.391.4 | 8 | 7.5 | odd | 6 | |||
588.2.b.b.391.3 | 8 | 28.19 | even | 6 | |||
588.2.b.b.391.4 | 8 | 7.2 | even | 3 | |||
588.2.o.b.19.4 | 8 | 28.27 | even | 2 | |||
588.2.o.b.31.4 | 8 | 7.4 | even | 3 | |||
588.2.o.d.19.2 | 8 | 7.6 | odd | 2 | |||
588.2.o.d.31.2 | 8 | 28.11 | odd | 6 | |||
1344.2.bl.i.703.4 | 8 | 56.45 | odd | 6 | |||
1344.2.bl.i.1279.4 | 8 | 8.3 | odd | 2 | |||
1344.2.bl.j.703.4 | 8 | 56.3 | even | 6 | |||
1344.2.bl.j.1279.4 | 8 | 8.5 | even | 2 | |||
1764.2.b.i.1567.5 | 8 | 21.2 | odd | 6 | |||
1764.2.b.i.1567.6 | 8 | 84.47 | odd | 6 | |||
1764.2.b.j.1567.5 | 8 | 21.5 | even | 6 | |||
1764.2.b.j.1567.6 | 8 | 84.23 | even | 6 |