Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(31,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bz (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 31.6 | ||
Character | \(\chi\) | \(=\) | 273.31 |
Dual form | 273.2.bz.b.229.6 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.612438 | + | 0.164102i | 0.433059 | + | 0.116038i | 0.468762 | − | 0.883325i | \(-0.344700\pi\) |
−0.0357028 | + | 0.999362i | \(0.511367\pi\) | |||||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | −1.38390 | − | 0.798995i | −0.691950 | − | 0.399498i | ||||
\(5\) | 0.690032 | − | 2.57523i | 0.308592 | − | 1.15168i | −0.621218 | − | 0.783638i | \(-0.713362\pi\) |
0.929809 | − | 0.368042i | \(-0.119972\pi\) | |||||||
\(6\) | 0.448336 | + | 0.448336i | 0.183032 | + | 0.183032i | ||||
\(7\) | −1.89836 | − | 1.84289i | −0.717513 | − | 0.696546i | ||||
\(8\) | −1.61311 | − | 1.61311i | −0.570320 | − | 0.570320i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0.845203 | − | 1.46393i | 0.267277 | − | 0.462937i | ||||
\(11\) | 4.30328 | − | 1.15306i | 1.29749 | − | 0.347661i | 0.456988 | − | 0.889473i | \(-0.348928\pi\) |
0.840500 | + | 0.541812i | \(0.182262\pi\) | |||||||
\(12\) | −0.798995 | − | 1.38390i | −0.230650 | − | 0.399498i | ||||
\(13\) | 2.17576 | − | 2.87507i | 0.603448 | − | 0.797402i | ||||
\(14\) | −0.860206 | − | 1.44018i | −0.229900 | − | 0.384904i | ||||
\(15\) | 1.88520 | − | 1.88520i | 0.486757 | − | 0.486757i | ||||
\(16\) | 0.874777 | + | 1.51516i | 0.218694 | + | 0.378790i | ||||
\(17\) | −2.00699 | + | 3.47620i | −0.486766 | + | 0.843103i | −0.999884 | − | 0.0152149i | \(-0.995157\pi\) |
0.513119 | + | 0.858318i | \(0.328490\pi\) | |||||||
\(18\) | 0.164102 | + | 0.612438i | 0.0386793 | + | 0.144353i | ||||
\(19\) | −1.13380 | + | 4.23139i | −0.260111 | + | 0.970748i | 0.705064 | + | 0.709144i | \(0.250918\pi\) |
−0.965175 | + | 0.261604i | \(0.915748\pi\) | |||||||
\(20\) | −3.01253 | + | 3.01253i | −0.673623 | + | 0.673623i | ||||
\(21\) | −0.722584 | − | 2.54517i | −0.157681 | − | 0.555401i | ||||
\(22\) | 2.82471 | 0.602231 | ||||||||
\(23\) | −3.04951 | + | 1.76064i | −0.635867 | + | 0.367118i | −0.783021 | − | 0.621996i | \(-0.786322\pi\) |
0.147154 | + | 0.989114i | \(0.452989\pi\) | |||||||
\(24\) | −0.590438 | − | 2.20355i | −0.120523 | − | 0.449797i | ||||
\(25\) | −1.82556 | − | 1.05399i | −0.365112 | − | 0.210797i | ||||
\(26\) | 1.80433 | − | 1.40376i | 0.353858 | − | 0.275299i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 1.15468 | + | 4.06715i | 0.218215 | + | 0.768619i | ||||
\(29\) | 0.379497 | 0.0704709 | 0.0352354 | − | 0.999379i | \(-0.488782\pi\) | ||||
0.0352354 | + | 0.999379i | \(0.488782\pi\) | |||||||
\(30\) | 1.46393 | − | 0.845203i | 0.267277 | − | 0.154312i | ||||
\(31\) | 10.1442 | − | 2.71812i | 1.82195 | − | 0.488189i | 0.824920 | − | 0.565250i | \(-0.191220\pi\) |
0.997026 | + | 0.0770611i | \(0.0245536\pi\) | |||||||
\(32\) | 1.46798 | + | 5.47858i | 0.259505 | + | 0.968486i | ||||
\(33\) | 4.30328 | + | 1.15306i | 0.749105 | + | 0.200722i | ||||
\(34\) | −1.79961 | + | 1.79961i | −0.308630 | + | 0.308630i | ||||
\(35\) | −6.05579 | + | 3.61707i | −1.02362 | + | 0.611396i | ||||
\(36\) | − | 1.59799i | − | 0.266332i | ||||||
\(37\) | −0.0661642 | + | 0.246928i | −0.0108773 | + | 0.0405947i | −0.971151 | − | 0.238465i | \(-0.923356\pi\) |
0.960274 | + | 0.279059i | \(0.0900226\pi\) | |||||||
\(38\) | −1.38876 | + | 2.40541i | −0.225287 | + | 0.390208i | ||||
\(39\) | 3.32180 | − | 1.40200i | 0.531914 | − | 0.224500i | ||||
\(40\) | −5.26722 | + | 3.04103i | −0.832821 | + | 0.480830i | ||||
\(41\) | −7.78577 | − | 7.78577i | −1.21593 | − | 1.21593i | −0.969044 | − | 0.246889i | \(-0.920592\pi\) |
−0.246889 | − | 0.969044i | \(-0.579408\pi\) | |||||||
\(42\) | −0.0248706 | − | 1.67733i | −0.00383762 | − | 0.258818i | ||||
\(43\) | − | 3.61181i | − | 0.550796i | −0.961330 | − | 0.275398i | \(-0.911190\pi\) | ||
0.961330 | − | 0.275398i | \(-0.0888096\pi\) | |||||||
\(44\) | −6.87660 | − | 1.84258i | −1.03669 | − | 0.277779i | ||||
\(45\) | 2.57523 | − | 0.690032i | 0.383893 | − | 0.102864i | ||||
\(46\) | −2.15656 | + | 0.577848i | −0.317967 | + | 0.0851991i | ||||
\(47\) | 4.20803 | + | 1.12754i | 0.613804 | + | 0.164468i | 0.552310 | − | 0.833639i | \(-0.313747\pi\) |
0.0614946 | + | 0.998107i | \(0.480413\pi\) | |||||||
\(48\) | 1.74955i | 0.252526i | ||||||||
\(49\) | 0.207539 | + | 6.99692i | 0.0296484 | + | 0.999560i | ||||
\(50\) | −0.945080 | − | 0.945080i | −0.133654 | − | 0.133654i | ||||
\(51\) | −3.47620 | + | 2.00699i | −0.486766 | + | 0.281034i | ||||
\(52\) | −5.30821 | + | 2.24039i | −0.736116 | + | 0.310686i | ||||
\(53\) | −5.54550 | + | 9.60509i | −0.761733 | + | 1.31936i | 0.180223 | + | 0.983626i | \(0.442318\pi\) |
−0.941957 | + | 0.335735i | \(0.891015\pi\) | |||||||
\(54\) | −0.164102 | + | 0.612438i | −0.0223315 | + | 0.0833422i | ||||
\(55\) | − | 11.8776i | − | 1.60158i | ||||||
\(56\) | 0.0894843 | + | 6.03503i | 0.0119578 | + | 0.806465i | ||||
\(57\) | −3.09759 | + | 3.09759i | −0.410286 | + | 0.410286i | ||||
\(58\) | 0.232418 | + | 0.0622763i | 0.0305180 | + | 0.00817728i | ||||
\(59\) | 0.924065 | + | 3.44866i | 0.120303 | + | 0.448977i | 0.999629 | − | 0.0272437i | \(-0.00867302\pi\) |
−0.879326 | + | 0.476221i | \(0.842006\pi\) | |||||||
\(60\) | −4.11520 | + | 1.10266i | −0.531270 | + | 0.142353i | ||||
\(61\) | 12.0879 | − | 6.97894i | 1.54769 | − | 0.893561i | 0.549377 | − | 0.835575i | \(-0.314865\pi\) |
0.998317 | − | 0.0579866i | \(-0.0184681\pi\) | |||||||
\(62\) | 6.65872 | 0.845658 | ||||||||
\(63\) | 0.646807 | − | 2.56547i | 0.0814900 | − | 0.323219i | ||||
\(64\) | 0.0970831i | 0.0121354i | ||||||||
\(65\) | −5.90264 | − | 7.58699i | −0.732133 | − | 0.941051i | ||||
\(66\) | 2.44627 | + | 1.41236i | 0.301115 | + | 0.173849i | ||||
\(67\) | 3.38708 | + | 12.6408i | 0.413798 | + | 1.54431i | 0.787231 | + | 0.616658i | \(0.211514\pi\) |
−0.373434 | + | 0.927657i | \(0.621820\pi\) | |||||||
\(68\) | 5.55494 | − | 3.20714i | 0.673635 | − | 0.388923i | ||||
\(69\) | −3.52127 | −0.423911 | ||||||||
\(70\) | −4.30237 | + | 1.22146i | −0.514231 | + | 0.145993i | ||||
\(71\) | −5.43926 | + | 5.43926i | −0.645522 | + | 0.645522i | −0.951907 | − | 0.306386i | \(-0.900880\pi\) |
0.306386 | + | 0.951907i | \(0.400880\pi\) | |||||||
\(72\) | 0.590438 | − | 2.20355i | 0.0695838 | − | 0.259690i | ||||
\(73\) | −2.09027 | − | 7.80100i | −0.244648 | − | 0.913038i | −0.973560 | − | 0.228431i | \(-0.926640\pi\) |
0.728912 | − | 0.684607i | \(-0.240026\pi\) | |||||||
\(74\) | −0.0810429 | + | 0.140370i | −0.00942105 | + | 0.0163177i | ||||
\(75\) | −1.05399 | − | 1.82556i | −0.121704 | − | 0.210797i | ||||
\(76\) | 4.94993 | − | 4.94993i | 0.567795 | − | 0.567795i | ||||
\(77\) | −10.2941 | − | 5.74153i | −1.17313 | − | 0.654308i | ||||
\(78\) | 2.26447 | − | 0.313525i | 0.256401 | − | 0.0354998i | ||||
\(79\) | 1.48371 | + | 2.56986i | 0.166931 | + | 0.289132i | 0.937339 | − | 0.348418i | \(-0.113281\pi\) |
−0.770409 | + | 0.637551i | \(0.779948\pi\) | |||||||
\(80\) | 4.50551 | − | 1.20725i | 0.503731 | − | 0.134974i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −3.49064 | − | 6.04596i | −0.385476 | − | 0.667665i | ||||
\(83\) | 8.78402 | + | 8.78402i | 0.964171 | + | 0.964171i | 0.999380 | − | 0.0352090i | \(-0.0112097\pi\) |
−0.0352090 | + | 0.999380i | \(0.511210\pi\) | |||||||
\(84\) | −1.03359 | + | 4.09960i | −0.112774 | + | 0.447303i | ||||
\(85\) | 7.56715 | + | 7.56715i | 0.820773 | + | 0.820773i | ||||
\(86\) | 0.592706 | − | 2.21201i | 0.0639131 | − | 0.238527i | ||||
\(87\) | 0.328654 | + | 0.189749i | 0.0352354 | + | 0.0203432i | ||||
\(88\) | −8.80166 | − | 5.08164i | −0.938260 | − | 0.541705i | ||||
\(89\) | −0.621191 | − | 0.166448i | −0.0658461 | − | 0.0176434i | 0.225746 | − | 0.974186i | \(-0.427518\pi\) |
−0.291592 | + | 0.956543i | \(0.594185\pi\) | |||||||
\(90\) | 1.69041 | 0.178184 | ||||||||
\(91\) | −9.42882 | + | 1.44824i | −0.988409 | + | 0.151817i | ||||
\(92\) | 5.62696 | 0.586651 | ||||||||
\(93\) | 10.1442 | + | 2.71812i | 1.05190 | + | 0.281856i | ||||
\(94\) | 2.39212 | + | 1.38109i | 0.246729 | + | 0.142449i | ||||
\(95\) | 10.1145 | + | 5.83959i | 1.03772 | + | 0.599129i | ||||
\(96\) | −1.46798 | + | 5.47858i | −0.149825 | + | 0.559156i | ||||
\(97\) | −7.39070 | − | 7.39070i | −0.750412 | − | 0.750412i | 0.224144 | − | 0.974556i | \(-0.428041\pi\) |
−0.974556 | + | 0.224144i | \(0.928041\pi\) | |||||||
\(98\) | −1.02111 | + | 4.31924i | −0.103147 | + | 0.436309i | ||||
\(99\) | 3.15022 | + | 3.15022i | 0.316609 | + | 0.316609i | ||||
\(100\) | 1.68426 | + | 2.91723i | 0.168426 | + | 0.291723i | ||||
\(101\) | 0.273020 | − | 0.472884i | 0.0271665 | − | 0.0470537i | −0.852123 | − | 0.523342i | \(-0.824685\pi\) |
0.879289 | + | 0.476289i | \(0.158018\pi\) | |||||||
\(102\) | −2.45831 | + | 0.658702i | −0.243409 | + | 0.0652212i | ||||
\(103\) | 1.32112 | + | 2.28824i | 0.130173 | + | 0.225467i | 0.923743 | − | 0.383012i | \(-0.125113\pi\) |
−0.793570 | + | 0.608479i | \(0.791780\pi\) | |||||||
\(104\) | −8.14754 | + | 1.12806i | −0.798932 | + | 0.110616i | ||||
\(105\) | −7.05301 | + | 0.104578i | −0.688303 | + | 0.0102058i | ||||
\(106\) | −4.97249 | + | 4.97249i | −0.482971 | + | 0.482971i | ||||
\(107\) | −2.75251 | − | 4.76749i | −0.266096 | − | 0.460891i | 0.701755 | − | 0.712419i | \(-0.252400\pi\) |
−0.967850 | + | 0.251528i | \(0.919067\pi\) | |||||||
\(108\) | 0.798995 | − | 1.38390i | 0.0768833 | − | 0.133166i | ||||
\(109\) | 3.27311 | + | 12.2154i | 0.313507 | + | 1.17002i | 0.925372 | + | 0.379061i | \(0.123753\pi\) |
−0.611865 | + | 0.790962i | \(0.709580\pi\) | |||||||
\(110\) | 1.94914 | − | 7.27429i | 0.185843 | − | 0.693577i | ||||
\(111\) | −0.180764 | + | 0.180764i | −0.0171574 | + | 0.0171574i | ||||
\(112\) | 1.13162 | − | 4.48843i | 0.106928 | − | 0.424117i | ||||
\(113\) | −7.54675 | −0.709939 | −0.354969 | − | 0.934878i | \(-0.615509\pi\) | ||||
−0.354969 | + | 0.934878i | \(0.615509\pi\) | |||||||
\(114\) | −2.40541 | + | 1.38876i | −0.225287 | + | 0.130069i | ||||
\(115\) | 2.42979 | + | 9.06809i | 0.226579 | + | 0.845604i | ||||
\(116\) | −0.525186 | − | 0.303216i | −0.0487623 | − | 0.0281529i | ||||
\(117\) | 3.57777 | + | 0.446730i | 0.330765 | + | 0.0413002i | ||||
\(118\) | 2.26373i | 0.208393i | ||||||||
\(119\) | 10.2162 | − | 2.90043i | 0.936520 | − | 0.265882i | ||||
\(120\) | −6.08207 | −0.555214 | ||||||||
\(121\) | 7.66239 | − | 4.42389i | 0.696581 | − | 0.402171i | ||||
\(122\) | 8.54833 | − | 2.29052i | 0.773930 | − | 0.207374i | ||||
\(123\) | −2.84979 | − | 10.6356i | −0.256957 | − | 0.958976i | ||||
\(124\) | −16.2103 | − | 4.34353i | −1.45573 | − | 0.390061i | ||||
\(125\) | 5.45205 | − | 5.45205i | 0.487646 | − | 0.487646i | ||||
\(126\) | 0.817128 | − | 1.46505i | 0.0727956 | − | 0.130517i | ||||
\(127\) | − | 8.81008i | − | 0.781768i | −0.920440 | − | 0.390884i | \(-0.872169\pi\) | ||
0.920440 | − | 0.390884i | \(-0.127831\pi\) | |||||||
\(128\) | 2.92003 | − | 10.8977i | 0.258097 | − | 0.963231i | ||||
\(129\) | 1.80591 | − | 3.12792i | 0.159001 | − | 0.275398i | ||||
\(130\) | −2.36996 | − | 5.61520i | −0.207859 | − | 0.492486i | ||||
\(131\) | 4.36467 | − | 2.51994i | 0.381343 | − | 0.220168i | −0.297059 | − | 0.954859i | \(-0.596006\pi\) |
0.678402 | + | 0.734691i | \(0.262673\pi\) | |||||||
\(132\) | −5.03402 | − | 5.03402i | −0.438155 | − | 0.438155i | ||||
\(133\) | 9.95033 | − | 5.94324i | 0.862803 | − | 0.515344i | ||||
\(134\) | 8.29751i | 0.716795i | ||||||||
\(135\) | 2.57523 | + | 0.690032i | 0.221641 | + | 0.0593885i | ||||
\(136\) | 8.84497 | − | 2.37000i | 0.758450 | − | 0.203226i | ||||
\(137\) | −21.6500 | + | 5.80111i | −1.84969 | + | 0.495622i | −0.999523 | − | 0.0308968i | \(-0.990164\pi\) |
−0.850164 | + | 0.526519i | \(0.823497\pi\) | |||||||
\(138\) | −2.15656 | − | 0.577848i | −0.183578 | − | 0.0491897i | ||||
\(139\) | − | 2.70096i | − | 0.229092i | −0.993418 | − | 0.114546i | \(-0.963459\pi\) | ||
0.993418 | − | 0.114546i | \(-0.0365413\pi\) | |||||||
\(140\) | 11.2706 | − | 0.167115i | 0.952542 | − | 0.0141238i | ||||
\(141\) | 3.08049 | + | 3.08049i | 0.259424 | + | 0.259424i | ||||
\(142\) | −4.22380 | + | 2.43861i | −0.354454 | + | 0.204644i | ||||
\(143\) | 6.04779 | − | 14.8810i | 0.505742 | − | 1.24441i | ||||
\(144\) | −0.874777 | + | 1.51516i | −0.0728981 | + | 0.126263i | ||||
\(145\) | 0.261865 | − | 0.977294i | 0.0217467 | − | 0.0811598i | ||||
\(146\) | − | 5.12065i | − | 0.423788i | ||||||
\(147\) | −3.31873 | + | 6.16328i | −0.273724 | + | 0.508339i | ||||
\(148\) | 0.288859 | − | 0.288859i | 0.0237441 | − | 0.0237441i | ||||
\(149\) | 3.62891 | + | 0.972364i | 0.297292 | + | 0.0796592i | 0.404382 | − | 0.914590i | \(-0.367487\pi\) |
−0.107090 | + | 0.994249i | \(0.534153\pi\) | |||||||
\(150\) | −0.345923 | − | 1.29100i | −0.0282445 | − | 0.105410i | ||||
\(151\) | 2.30870 | − | 0.618613i | 0.187879 | − | 0.0503420i | −0.163653 | − | 0.986518i | \(-0.552328\pi\) |
0.351532 | + | 0.936176i | \(0.385661\pi\) | |||||||
\(152\) | 8.65463 | − | 4.99675i | 0.701983 | − | 0.405290i | ||||
\(153\) | −4.01397 | −0.324510 | ||||||||
\(154\) | −5.36232 | − | 5.20562i | −0.432108 | − | 0.419481i | ||||
\(155\) | − | 27.9992i | − | 2.24895i | ||||||
\(156\) | −5.71724 | − | 0.713870i | −0.457746 | − | 0.0571554i | ||||
\(157\) | 5.15461 | + | 2.97601i | 0.411382 | + | 0.237512i | 0.691384 | − | 0.722488i | \(-0.257002\pi\) |
−0.280001 | + | 0.960000i | \(0.590335\pi\) | |||||||
\(158\) | 0.486961 | + | 1.81736i | 0.0387405 | + | 0.144582i | ||||
\(159\) | −9.60509 | + | 5.54550i | −0.761733 | + | 0.439787i | ||||
\(160\) | 15.1216 | 1.19547 | ||||||||
\(161\) | 9.03372 | + | 2.27758i | 0.711957 | + | 0.179499i | ||||
\(162\) | −0.448336 | + | 0.448336i | −0.0352246 | + | 0.0352246i | ||||
\(163\) | −1.16232 | + | 4.33782i | −0.0910396 | + | 0.339764i | −0.996389 | − | 0.0849025i | \(-0.972942\pi\) |
0.905350 | + | 0.424667i | \(0.139609\pi\) | |||||||
\(164\) | 4.55393 | + | 16.9955i | 0.355603 | + | 1.32713i | ||||
\(165\) | 5.93880 | − | 10.2863i | 0.462335 | − | 0.800788i | ||||
\(166\) | 3.93819 | + | 6.82114i | 0.305663 | + | 0.529423i | ||||
\(167\) | 3.94806 | − | 3.94806i | 0.305510 | − | 0.305510i | −0.537655 | − | 0.843165i | \(-0.680690\pi\) |
0.843165 | + | 0.537655i | \(0.180690\pi\) | |||||||
\(168\) | −2.94002 | + | 5.27123i | −0.226827 | + | 0.406684i | ||||
\(169\) | −3.53210 | − | 12.5110i | −0.271700 | − | 0.962382i | ||||
\(170\) | 3.39262 | + | 5.87619i | 0.260202 | + | 0.450684i | ||||
\(171\) | −4.23139 | + | 1.13380i | −0.323583 | + | 0.0867037i | ||||
\(172\) | −2.88582 | + | 4.99839i | −0.220042 | + | 0.381123i | ||||
\(173\) | −4.34592 | − | 7.52735i | −0.330414 | − | 0.572294i | 0.652179 | − | 0.758065i | \(-0.273855\pi\) |
−0.982593 | + | 0.185771i | \(0.940522\pi\) | |||||||
\(174\) | 0.170142 | + | 0.170142i | 0.0128984 | + | 0.0128984i | ||||
\(175\) | 1.52319 | + | 5.36514i | 0.115142 | + | 0.405567i | ||||
\(176\) | 5.51148 | + | 5.51148i | 0.415443 | + | 0.415443i | ||||
\(177\) | −0.924065 | + | 3.44866i | −0.0694570 | + | 0.259217i | ||||
\(178\) | −0.353126 | − | 0.203878i | −0.0264679 | − | 0.0152813i | ||||
\(179\) | 2.57505 | + | 1.48671i | 0.192469 | + | 0.111122i | 0.593138 | − | 0.805101i | \(-0.297889\pi\) |
−0.400669 | + | 0.916223i | \(0.631222\pi\) | |||||||
\(180\) | −4.11520 | − | 1.10266i | −0.306729 | − | 0.0821877i | ||||
\(181\) | −14.0519 | −1.04447 | −0.522235 | − | 0.852802i | \(-0.674902\pi\) | ||||
−0.522235 | + | 0.852802i | \(0.674902\pi\) | |||||||
\(182\) | −6.01222 | − | 0.660334i | −0.445656 | − | 0.0489472i | ||||
\(183\) | 13.9579 | 1.03180 | ||||||||
\(184\) | 7.75928 | + | 2.07909i | 0.572022 | + | 0.153273i | ||||
\(185\) | 0.590242 | + | 0.340777i | 0.0433955 | + | 0.0250544i | ||||
\(186\) | 5.76662 | + | 3.32936i | 0.422829 | + | 0.244121i | ||||
\(187\) | −4.62835 | + | 17.2732i | −0.338459 | + | 1.26314i | ||||
\(188\) | −4.92260 | − | 4.92260i | −0.359017 | − | 0.359017i | ||||
\(189\) | 1.84289 | − | 1.89836i | 0.134050 | − | 0.138085i | ||||
\(190\) | 5.23619 | + | 5.23619i | 0.379873 | + | 0.379873i | ||||
\(191\) | −2.73812 | − | 4.74256i | −0.198123 | − | 0.343160i | 0.749797 | − | 0.661668i | \(-0.230151\pi\) |
−0.947920 | + | 0.318509i | \(0.896818\pi\) | |||||||
\(192\) | −0.0485415 | + | 0.0840764i | −0.00350318 | + | 0.00606769i | ||||
\(193\) | 16.8047 | − | 4.50280i | 1.20963 | − | 0.324119i | 0.403012 | − | 0.915195i | \(-0.367963\pi\) |
0.806616 | + | 0.591076i | \(0.201297\pi\) | |||||||
\(194\) | −3.31351 | − | 5.73917i | −0.237896 | − | 0.412049i | ||||
\(195\) | −1.31834 | − | 9.52185i | −0.0944083 | − | 0.681874i | ||||
\(196\) | 5.30329 | − | 9.84887i | 0.378807 | − | 0.703490i | ||||
\(197\) | −0.527316 | + | 0.527316i | −0.0375697 | + | 0.0375697i | −0.725642 | − | 0.688072i | \(-0.758457\pi\) |
0.688072 | + | 0.725642i | \(0.258457\pi\) | |||||||
\(198\) | 1.41236 | + | 2.44627i | 0.100372 | + | 0.173849i | ||||
\(199\) | −5.40687 | + | 9.36497i | −0.383283 | + | 0.663865i | −0.991529 | − | 0.129883i | \(-0.958540\pi\) |
0.608247 | + | 0.793748i | \(0.291873\pi\) | |||||||
\(200\) | 1.24463 | + | 4.64502i | 0.0880085 | + | 0.328452i | ||||
\(201\) | −3.38708 | + | 12.6408i | −0.238906 | + | 0.891610i | ||||
\(202\) | 0.244809 | − | 0.244809i | 0.0172247 | − | 0.0172247i | ||||
\(203\) | −0.720422 | − | 0.699370i | −0.0505637 | − | 0.0490862i | ||||
\(204\) | 6.41429 | 0.449090 | ||||||||
\(205\) | −25.4226 | + | 14.6777i | −1.77559 | + | 1.02514i | ||||
\(206\) | 0.433596 | + | 1.61820i | 0.0302101 | + | 0.112746i | ||||
\(207\) | −3.04951 | − | 1.76064i | −0.211956 | − | 0.122373i | ||||
\(208\) | 6.25950 | + | 0.781578i | 0.434018 | + | 0.0541927i | ||||
\(209\) | 19.5162i | 1.34996i | ||||||||
\(210\) | −4.33669 | − | 1.09337i | −0.299260 | − | 0.0754494i | ||||
\(211\) | −18.0930 | −1.24557 | −0.622786 | − | 0.782392i | \(-0.713999\pi\) | ||||
−0.622786 | + | 0.782392i | \(0.713999\pi\) | |||||||
\(212\) | 15.3488 | − | 8.86166i | 1.05416 | − | 0.608621i | ||||
\(213\) | −7.43017 | + | 1.99091i | −0.509107 | + | 0.136415i | ||||
\(214\) | −0.903387 | − | 3.37149i | −0.0617543 | − | 0.230470i | ||||
\(215\) | −9.30126 | − | 2.49226i | −0.634340 | − | 0.169971i | ||||
\(216\) | 1.61311 | − | 1.61311i | 0.109758 | − | 0.109758i | ||||
\(217\) | −24.2665 | − | 13.5346i | −1.64731 | − | 0.918787i | ||||
\(218\) | 8.01830i | 0.543068i | ||||||||
\(219\) | 2.09027 | − | 7.80100i | 0.141248 | − | 0.527143i | ||||
\(220\) | −9.49015 | + | 16.4374i | −0.639826 | + | 1.10821i | ||||
\(221\) | 5.62761 | + | 13.3336i | 0.378554 | + | 0.896917i | ||||
\(222\) | −0.140370 | + | 0.0810429i | −0.00942105 | + | 0.00543924i | ||||
\(223\) | −1.88034 | − | 1.88034i | −0.125917 | − | 0.125917i | 0.641340 | − | 0.767257i | \(-0.278379\pi\) |
−0.767257 | + | 0.641340i | \(0.778379\pi\) | |||||||
\(224\) | 7.30965 | − | 13.1056i | 0.488397 | − | 0.875658i | ||||
\(225\) | − | 2.10797i | − | 0.140532i | ||||||
\(226\) | −4.62192 | − | 1.23844i | −0.307445 | − | 0.0823797i | ||||
\(227\) | 15.0796 | − | 4.04057i | 1.00087 | − | 0.268182i | 0.279059 | − | 0.960274i | \(-0.409977\pi\) |
0.721809 | + | 0.692092i | \(0.243311\pi\) | |||||||
\(228\) | 6.76172 | − | 1.81180i | 0.447806 | − | 0.119989i | ||||
\(229\) | −18.1364 | − | 4.85963i | −1.19849 | − | 0.321133i | −0.396251 | − | 0.918142i | \(-0.629689\pi\) |
−0.802235 | + | 0.597009i | \(0.796356\pi\) | |||||||
\(230\) | 5.95238i | 0.392488i | ||||||||
\(231\) | −6.04421 | − | 10.1194i | −0.397680 | − | 0.665806i | ||||
\(232\) | −0.612170 | − | 0.612170i | −0.0401909 | − | 0.0401909i | ||||
\(233\) | −18.1975 | + | 10.5063i | −1.19216 | + | 0.688293i | −0.958796 | − | 0.284097i | \(-0.908306\pi\) |
−0.233363 | + | 0.972390i | \(0.574973\pi\) | |||||||
\(234\) | 2.11785 | + | 0.860714i | 0.138448 | + | 0.0562667i | ||||
\(235\) | 5.80735 | − | 10.0586i | 0.378830 | − | 0.656152i | ||||
\(236\) | 1.47665 | − | 5.51092i | 0.0961215 | − | 0.358730i | ||||
\(237\) | 2.96742i | 0.192755i | ||||||||
\(238\) | 6.73277 | − | 0.0998300i | 0.436421 | − | 0.00647102i | ||||
\(239\) | 2.72859 | − | 2.72859i | 0.176498 | − | 0.176498i | −0.613329 | − | 0.789827i | \(-0.710170\pi\) |
0.789827 | + | 0.613329i | \(0.210170\pi\) | |||||||
\(240\) | 4.50551 | + | 1.20725i | 0.290829 | + | 0.0779275i | ||||
\(241\) | 1.30249 | + | 4.86096i | 0.0839008 | + | 0.313122i | 0.995104 | − | 0.0988356i | \(-0.0315118\pi\) |
−0.911203 | + | 0.411958i | \(0.864845\pi\) | |||||||
\(242\) | 5.41871 | − | 1.45194i | 0.348328 | − | 0.0933342i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | −22.3046 | −1.42790 | ||||||||
\(245\) | 18.1619 | + | 4.29364i | 1.16032 | + | 0.274310i | ||||
\(246\) | − | 6.98127i | − | 0.445110i | ||||||
\(247\) | 9.69869 | + | 12.4663i | 0.617113 | + | 0.793209i | ||||
\(248\) | −20.7482 | − | 11.9790i | −1.31752 | − | 0.760668i | ||||
\(249\) | 3.21517 | + | 11.9992i | 0.203753 | + | 0.760418i | ||||
\(250\) | 4.23374 | − | 2.44435i | 0.267765 | − | 0.154594i | ||||
\(251\) | 0.125710 | 0.00793476 | 0.00396738 | − | 0.999992i | \(-0.498737\pi\) | ||||
0.00396738 | + | 0.999992i | \(0.498737\pi\) | |||||||
\(252\) | −2.94491 | + | 3.03356i | −0.185512 | + | 0.191096i | ||||
\(253\) | −11.0928 | + | 11.0928i | −0.697397 | + | 0.697397i | ||||
\(254\) | 1.44575 | − | 5.39563i | 0.0907146 | − | 0.338552i | ||||
\(255\) | 2.76977 | + | 10.3369i | 0.173450 | + | 0.647323i | ||||
\(256\) | 3.67376 | − | 6.36314i | 0.229610 | − | 0.397696i | ||||
\(257\) | 3.34108 | + | 5.78691i | 0.208411 | + | 0.360978i | 0.951214 | − | 0.308532i | \(-0.0998376\pi\) |
−0.742803 | + | 0.669510i | \(0.766504\pi\) | |||||||
\(258\) | 1.61930 | − | 1.61930i | 0.100813 | − | 0.100813i | ||||
\(259\) | 0.580664 | − | 0.346825i | 0.0360807 | − | 0.0215507i | ||||
\(260\) | 2.10669 | + | 15.2158i | 0.130652 | + | 0.943645i | ||||
\(261\) | 0.189749 | + | 0.328654i | 0.0117451 | + | 0.0203432i | ||||
\(262\) | 3.08662 | − | 0.827057i | 0.190692 | − | 0.0510957i | ||||
\(263\) | −5.65684 | + | 9.79794i | −0.348816 | + | 0.604167i | −0.986039 | − | 0.166512i | \(-0.946749\pi\) |
0.637223 | + | 0.770679i | \(0.280083\pi\) | |||||||
\(264\) | −5.08164 | − | 8.80166i | −0.312753 | − | 0.541705i | ||||
\(265\) | 20.9088 | + | 20.9088i | 1.28442 | + | 1.28442i | ||||
\(266\) | 7.06926 | − | 2.00700i | 0.433444 | − | 0.123057i | ||||
\(267\) | −0.454743 | − | 0.454743i | −0.0278298 | − | 0.0278298i | ||||
\(268\) | 5.41252 | − | 20.1998i | 0.330623 | − | 1.23390i | ||||
\(269\) | −23.7129 | − | 13.6907i | −1.44580 | − | 0.834735i | −0.447575 | − | 0.894246i | \(-0.647712\pi\) |
−0.998228 | + | 0.0595114i | \(0.981046\pi\) | |||||||
\(270\) | 1.46393 | + | 0.845203i | 0.0890922 | + | 0.0514374i | ||||
\(271\) | 16.8431 | + | 4.51309i | 1.02315 | + | 0.274151i | 0.731112 | − | 0.682257i | \(-0.239002\pi\) |
0.292033 | + | 0.956408i | \(0.405668\pi\) | |||||||
\(272\) | −7.02266 | −0.425811 | ||||||||
\(273\) | −8.88971 | − | 3.46020i | −0.538030 | − | 0.209421i | ||||
\(274\) | −14.2113 | −0.858534 | ||||||||
\(275\) | −9.07120 | − | 2.43062i | −0.547014 | − | 0.146572i | ||||
\(276\) | 4.87309 | + | 2.81348i | 0.293325 | + | 0.169351i | ||||
\(277\) | −18.8085 | − | 10.8591i | −1.13009 | − | 0.652460i | −0.186136 | − | 0.982524i | \(-0.559596\pi\) |
−0.943959 | + | 0.330064i | \(0.892930\pi\) | |||||||
\(278\) | 0.443233 | − | 1.65417i | 0.0265833 | − | 0.0992103i | ||||
\(279\) | 7.42604 | + | 7.42604i | 0.444586 | + | 0.444586i | ||||
\(280\) | 15.6034 | + | 3.93392i | 0.932479 | + | 0.235097i | ||||
\(281\) | 14.1780 | + | 14.1780i | 0.845786 | + | 0.845786i | 0.989604 | − | 0.143818i | \(-0.0459380\pi\) |
−0.143818 | + | 0.989604i | \(0.545938\pi\) | |||||||
\(282\) | 1.38109 | + | 2.39212i | 0.0822430 | + | 0.142449i | ||||
\(283\) | 11.7397 | − | 20.3338i | 0.697853 | − | 1.20872i | −0.271356 | − | 0.962479i | \(-0.587472\pi\) |
0.969209 | − | 0.246238i | \(-0.0791945\pi\) | |||||||
\(284\) | 11.8733 | − | 3.18145i | 0.704553 | − | 0.188784i | ||||
\(285\) | 5.83959 | + | 10.1145i | 0.345907 | + | 0.599129i | ||||
\(286\) | 6.14591 | − | 8.12125i | 0.363415 | − | 0.480220i | ||||
\(287\) | 0.431902 | + | 29.1285i | 0.0254943 | + | 1.71940i | ||||
\(288\) | −4.01060 | + | 4.01060i | −0.236327 | + | 0.236327i | ||||
\(289\) | 0.444014 | + | 0.769054i | 0.0261184 | + | 0.0452385i | ||||
\(290\) | 0.320752 | − | 0.555559i | 0.0188352 | − | 0.0326236i | ||||
\(291\) | −2.70518 | − | 10.0959i | −0.158581 | − | 0.591831i | ||||
\(292\) | −3.34024 | + | 12.4659i | −0.195472 | + | 0.729513i | ||||
\(293\) | −9.60223 | + | 9.60223i | −0.560968 | + | 0.560968i | −0.929583 | − | 0.368614i | \(-0.879832\pi\) |
0.368614 | + | 0.929583i | \(0.379832\pi\) | |||||||
\(294\) | −3.04392 | + | 3.23002i | −0.177525 | + | 0.188378i | ||||
\(295\) | 9.51873 | 0.554202 | ||||||||
\(296\) | 0.505052 | − | 0.291592i | 0.0293555 | − | 0.0169484i | ||||
\(297\) | 1.15306 | + | 4.30328i | 0.0669074 | + | 0.249702i | ||||
\(298\) | 2.06292 | + | 1.19103i | 0.119502 | + | 0.0689942i | ||||
\(299\) | −1.57306 | + | 12.5983i | −0.0909723 | + | 0.728578i | ||||
\(300\) | 3.36852i | 0.194482i | ||||||||
\(301\) | −6.65616 | + | 6.85652i | −0.383654 | + | 0.395203i | ||||
\(302\) | 1.51545 | 0.0872043 | ||||||||
\(303\) | 0.472884 | − | 0.273020i | 0.0271665 | − | 0.0156846i | ||||
\(304\) | −7.40305 | + | 1.98364i | −0.424594 | + | 0.113770i | ||||
\(305\) | −9.63138 | − | 35.9448i | −0.551491 | − | 2.05819i | ||||
\(306\) | −2.45831 | − | 0.658702i | −0.140532 | − | 0.0376555i | ||||
\(307\) | −19.5360 | + | 19.5360i | −1.11498 | + | 1.11498i | −0.122511 | + | 0.992467i | \(0.539095\pi\) |
−0.992467 | + | 0.122511i | \(0.960905\pi\) | |||||||
\(308\) | 9.65860 | + | 16.1707i | 0.550350 | + | 0.921410i | ||||
\(309\) | 2.64223i | 0.150311i | ||||||||
\(310\) | 4.59473 | − | 17.1478i | 0.260963 | − | 0.973928i | ||||
\(311\) | −5.24697 | + | 9.08801i | −0.297528 | + | 0.515334i | −0.975570 | − | 0.219690i | \(-0.929496\pi\) |
0.678042 | + | 0.735023i | \(0.262829\pi\) | |||||||
\(312\) | −7.62001 | − | 3.09684i | −0.431398 | − | 0.175324i | ||||
\(313\) | −6.19124 | + | 3.57452i | −0.349950 | + | 0.202044i | −0.664663 | − | 0.747143i | \(-0.731425\pi\) |
0.314713 | + | 0.949187i | \(0.398092\pi\) | |||||||
\(314\) | 2.66851 | + | 2.66851i | 0.150593 | + | 0.150593i | ||||
\(315\) | −6.16037 | − | 3.43594i | −0.347098 | − | 0.193593i | ||||
\(316\) | − | 4.74192i | − | 0.266754i | ||||||
\(317\) | −31.0094 | − | 8.30895i | −1.74166 | − | 0.466677i | −0.758847 | − | 0.651269i | \(-0.774237\pi\) |
−0.982815 | + | 0.184593i | \(0.940903\pi\) | |||||||
\(318\) | −6.79255 | + | 1.82006i | −0.380907 | + | 0.102064i | ||||
\(319\) | 1.63308 | − | 0.437583i | 0.0914351 | − | 0.0245000i | ||||
\(320\) | 0.250012 | + | 0.0669904i | 0.0139761 | + | 0.00374488i | ||||
\(321\) | − | 5.50503i | − | 0.307261i | ||||||
\(322\) | 5.15883 | + | 2.87733i | 0.287491 | + | 0.160347i | ||||
\(323\) | −12.4337 | − | 12.4337i | −0.691827 | − | 0.691827i | ||||
\(324\) | 1.38390 | − | 0.798995i | 0.0768833 | − | 0.0443886i | ||||
\(325\) | −7.00228 | + | 2.95539i | −0.388416 | + | 0.163936i | ||||
\(326\) | −1.42369 | + | 2.46591i | −0.0788510 | + | 0.136574i | ||||
\(327\) | −3.27311 | + | 12.2154i | −0.181003 | + | 0.675513i | ||||
\(328\) | 25.1186i | 1.38694i | ||||||||
\(329\) | −5.91043 | − | 9.89539i | −0.325852 | − | 0.545551i | ||||
\(330\) | 5.32515 | − | 5.32515i | 0.293140 | − | 0.293140i | ||||
\(331\) | 9.40856 | + | 2.52102i | 0.517141 | + | 0.138568i | 0.507944 | − | 0.861390i | \(-0.330406\pi\) |
0.00919731 | + | 0.999958i | \(0.497072\pi\) | |||||||
\(332\) | −5.13782 | − | 19.1746i | −0.281974 | − | 1.05234i | ||||
\(333\) | −0.246928 | + | 0.0661642i | −0.0135316 | + | 0.00362578i | ||||
\(334\) | 3.06583 | − | 1.77006i | 0.167755 | − | 0.0968532i | ||||
\(335\) | 34.8901 | 1.90625 | ||||||||
\(336\) | 3.22423 | − | 3.32128i | 0.175896 | − | 0.181191i | ||||
\(337\) | − | 10.0099i | − | 0.545275i | −0.962117 | − | 0.272637i | \(-0.912104\pi\) | ||
0.962117 | − | 0.272637i | \(-0.0878959\pi\) | |||||||
\(338\) | −0.110114 | − | 8.24181i | −0.00598943 | − | 0.448296i | ||||
\(339\) | −6.53568 | − | 3.77338i | −0.354969 | − | 0.204942i | ||||
\(340\) | −4.42606 | − | 16.5183i | −0.240037 | − | 0.895830i | ||||
\(341\) | 40.5190 | − | 23.3937i | 2.19423 | − | 1.26684i | ||||
\(342\) | −2.77752 | −0.150191 | ||||||||
\(343\) | 12.5006 | − | 13.6651i | 0.674966 | − | 0.737849i | ||||
\(344\) | −5.82624 | + | 5.82624i | −0.314130 | + | 0.314130i | ||||
\(345\) | −2.42979 | + | 9.06809i | −0.130815 | + | 0.488210i | ||||
\(346\) | −1.42635 | − | 5.32321i | −0.0766810 | − | 0.286177i | ||||
\(347\) | −14.1695 | + | 24.5424i | −0.760661 | + | 1.31750i | 0.181849 | + | 0.983326i | \(0.441792\pi\) |
−0.942510 | + | 0.334177i | \(0.891542\pi\) | |||||||
\(348\) | −0.303216 | − | 0.525186i | −0.0162541 | − | 0.0281529i | ||||
\(349\) | −1.32859 | + | 1.32859i | −0.0711180 | + | 0.0711180i | −0.741771 | − | 0.670653i | \(-0.766014\pi\) |
0.670653 | + | 0.741771i | \(0.266014\pi\) | |||||||
\(350\) | 0.0524266 | + | 3.53578i | 0.00280232 | + | 0.188995i | ||||
\(351\) | 2.87507 | + | 2.17576i | 0.153460 | + | 0.116134i | ||||
\(352\) | 12.6343 | + | 21.8832i | 0.673409 | + | 1.16638i | ||||
\(353\) | −34.8954 | + | 9.35019i | −1.85729 | + | 0.497660i | −0.999857 | − | 0.0169280i | \(-0.994611\pi\) |
−0.857437 | + | 0.514588i | \(0.827945\pi\) | |||||||
\(354\) | −1.13186 | + | 1.96045i | −0.0601579 | + | 0.104197i | ||||
\(355\) | 10.2541 | + | 17.7606i | 0.544231 | + | 0.942637i | ||||
\(356\) | 0.726675 | + | 0.726675i | 0.0385137 | + | 0.0385137i | ||||
\(357\) | 10.2977 | + | 2.59626i | 0.545014 | + | 0.137409i | ||||
\(358\) | 1.33309 | + | 1.33309i | 0.0704559 | + | 0.0704559i | ||||
\(359\) | 1.60246 | − | 5.98046i | 0.0845746 | − | 0.315637i | −0.910659 | − | 0.413159i | \(-0.864425\pi\) |
0.995233 | + | 0.0975229i | \(0.0310919\pi\) | |||||||
\(360\) | −5.26722 | − | 3.04103i | −0.277607 | − | 0.160277i | ||||
\(361\) | −0.164696 | − | 0.0950875i | −0.00866823 | − | 0.00500461i | ||||
\(362\) | −8.60592 | − | 2.30595i | −0.452317 | − | 0.121198i | ||||
\(363\) | 8.84777 | 0.464388 | ||||||||
\(364\) | 14.2057 | + | 5.52936i | 0.744580 | + | 0.289817i | ||||
\(365\) | −21.5318 | −1.12702 | ||||||||
\(366\) | 8.54833 | + | 2.29052i | 0.446828 | + | 0.119727i | ||||
\(367\) | −12.7879 | − | 7.38308i | −0.667521 | − | 0.385394i | 0.127615 | − | 0.991824i | \(-0.459268\pi\) |
−0.795137 | + | 0.606430i | \(0.792601\pi\) | |||||||
\(368\) | −5.33528 | − | 3.08033i | −0.278121 | − | 0.160573i | ||||
\(369\) | 2.84979 | − | 10.6356i | 0.148354 | − | 0.553665i | ||||
\(370\) | 0.305565 | + | 0.305565i | 0.0158855 | + | 0.0158855i | ||||
\(371\) | 28.2284 | − | 8.01419i | 1.46555 | − | 0.416076i | ||||
\(372\) | −11.8667 | − | 11.8667i | −0.615262 | − | 0.615262i | ||||
\(373\) | 9.31901 | + | 16.1410i | 0.482520 | + | 0.835749i | 0.999799 | − | 0.0200681i | \(-0.00638831\pi\) |
−0.517279 | + | 0.855817i | \(0.673055\pi\) | |||||||
\(374\) | −5.66916 | + | 9.81927i | −0.293145 | + | 0.507742i | ||||
\(375\) | 7.44764 | − | 1.99559i | 0.384595 | − | 0.103052i | ||||
\(376\) | −4.96916 | − | 8.60684i | −0.256265 | − | 0.443864i | ||||
\(377\) | 0.825696 | − | 1.09108i | 0.0425255 | − | 0.0561936i | ||||
\(378\) | 1.44018 | − | 0.860206i | 0.0740748 | − | 0.0442442i | ||||
\(379\) | 25.7884 | − | 25.7884i | 1.32466 | − | 1.32466i | 0.414703 | − | 0.909957i | \(-0.363886\pi\) |
0.909957 | − | 0.414703i | \(-0.136114\pi\) | |||||||
\(380\) | −9.33161 | − | 16.1628i | −0.478701 | − | 0.829135i | ||||
\(381\) | 4.40504 | − | 7.62975i | 0.225677 | − | 0.390884i | ||||
\(382\) | −0.898662 | − | 3.35385i | −0.0459796 | − | 0.171598i | ||||
\(383\) | −2.28945 | + | 8.54436i | −0.116986 | + | 0.436596i | −0.999428 | − | 0.0338247i | \(-0.989231\pi\) |
0.882442 | + | 0.470421i | \(0.155898\pi\) | |||||||
\(384\) | 7.97768 | − | 7.97768i | 0.407109 | − | 0.407109i | ||||
\(385\) | −21.8891 | + | 22.5480i | −1.11557 | + | 1.14915i | ||||
\(386\) | 11.0307 | 0.561450 | ||||||||
\(387\) | 3.12792 | − | 1.80591i | 0.159001 | − | 0.0917993i | ||||
\(388\) | 4.32286 | + | 16.1331i | 0.219460 | + | 0.819035i | ||||
\(389\) | −3.76516 | − | 2.17382i | −0.190901 | − | 0.110217i | 0.401503 | − | 0.915858i | \(-0.368488\pi\) |
−0.592404 | + | 0.805641i | \(0.701821\pi\) | |||||||
\(390\) | 0.755155 | − | 6.04788i | 0.0382388 | − | 0.306247i | ||||
\(391\) | − | 14.1343i | − | 0.714801i | ||||||
\(392\) | 10.9520 | − | 11.6216i | 0.553160 | − | 0.586978i | ||||
\(393\) | 5.03989 | 0.254229 | ||||||||
\(394\) | −0.409482 | + | 0.236415i | −0.0206294 | + | 0.0119104i | ||||
\(395\) | 7.64181 | − | 2.04762i | 0.384501 | − | 0.103027i | ||||
\(396\) | −1.84258 | − | 6.87660i | −0.0925931 | − | 0.345562i | ||||
\(397\) | 4.71695 | + | 1.26390i | 0.236737 | + | 0.0634334i | 0.375237 | − | 0.926929i | \(-0.377561\pi\) |
−0.138500 | + | 0.990362i | \(0.544228\pi\) | |||||||
\(398\) | −4.84818 | + | 4.84818i | −0.243017 | + | 0.243017i | ||||
\(399\) | 11.5889 | − | 0.171834i | 0.580169 | − | 0.00860244i | ||||
\(400\) | − | 3.68801i | − | 0.184401i | ||||||
\(401\) | −4.78185 | + | 17.8461i | −0.238794 | + | 0.891192i | 0.737608 | + | 0.675230i | \(0.235955\pi\) |
−0.976402 | + | 0.215962i | \(0.930711\pi\) | |||||||
\(402\) | −4.14875 | + | 7.18585i | −0.206921 | + | 0.358398i | ||||
\(403\) | 14.2565 | − | 35.0792i | 0.710168 | − | 1.74742i | ||||
\(404\) | −0.755664 | + | 0.436283i | −0.0375957 | + | 0.0217059i | ||||
\(405\) | 1.88520 | + | 1.88520i | 0.0936764 | + | 0.0936764i | ||||
\(406\) | −0.326446 | − | 0.546544i | −0.0162012 | − | 0.0271245i | ||||
\(407\) | 1.13889i | 0.0564528i | ||||||||
\(408\) | 8.84497 | + | 2.37000i | 0.437891 | + | 0.117333i | ||||
\(409\) | 23.7087 | − | 6.35274i | 1.17232 | − | 0.314123i | 0.380445 | − | 0.924804i | \(-0.375771\pi\) |
0.791877 | + | 0.610681i | \(0.209104\pi\) | |||||||
\(410\) | −17.9784 | + | 4.81730i | −0.887890 | + | 0.237910i | ||||
\(411\) | −21.6500 | − | 5.80111i | −1.06792 | − | 0.286147i | ||||
\(412\) | − | 4.22226i | − | 0.208016i | ||||||
\(413\) | 4.60128 | − | 8.24974i | 0.226414 | − | 0.405943i | ||||
\(414\) | −1.57871 | − | 1.57871i | −0.0775894 | − | 0.0775894i | ||||
\(415\) | 28.6821 | − | 16.5596i | 1.40795 | − | 0.812881i | ||||
\(416\) | 18.9453 | + | 7.69955i | 0.928871 | + | 0.377501i | ||||
\(417\) | 1.35048 | − | 2.33910i | 0.0661332 | − | 0.114546i | ||||
\(418\) | −3.20265 | + | 11.9525i | −0.156647 | + | 0.584614i | ||||
\(419\) | 5.88805i | 0.287650i | 0.989603 | + | 0.143825i | \(0.0459402\pi\) | ||||
−0.989603 | + | 0.143825i | \(0.954060\pi\) | |||||||
\(420\) | 9.84421 | + | 5.49059i | 0.480348 | + | 0.267913i | ||||
\(421\) | 14.9037 | − | 14.9037i | 0.726360 | − | 0.726360i | −0.243533 | − | 0.969893i | \(-0.578306\pi\) |
0.969893 | + | 0.243533i | \(0.0783063\pi\) | |||||||
\(422\) | −11.0808 | − | 2.96910i | −0.539406 | − | 0.144534i | ||||
\(423\) | 1.12754 | + | 4.20803i | 0.0548228 | + | 0.204601i | ||||
\(424\) | 24.4395 | − | 6.54855i | 1.18689 | − | 0.318026i | ||||
\(425\) | 7.32774 | − | 4.23067i | 0.355448 | − | 0.205218i | ||||
\(426\) | −4.87723 | −0.236302 | ||||||||
\(427\) | −35.8085 | − | 9.02805i | −1.73290 | − | 0.436898i | ||||
\(428\) | 8.79698i | 0.425218i | ||||||||
\(429\) | 12.6781 | − | 9.86346i | 0.612102 | − | 0.476212i | ||||
\(430\) | −5.28746 | − | 3.05271i | −0.254984 | − | 0.147215i | ||||
\(431\) | −3.29583 | − | 12.3002i | −0.158755 | − | 0.592481i | −0.998755 | − | 0.0498939i | \(-0.984112\pi\) |
0.840000 | − | 0.542587i | \(-0.182555\pi\) | |||||||
\(432\) | −1.51516 | + | 0.874777i | −0.0728981 | + | 0.0420877i | ||||
\(433\) | 24.9932 | 1.20109 | 0.600547 | − | 0.799589i | \(-0.294949\pi\) | ||||
0.600547 | + | 0.799589i | \(0.294949\pi\) | |||||||
\(434\) | −12.6406 | − | 12.2713i | −0.606770 | − | 0.589040i | ||||
\(435\) | 0.715429 | − | 0.715429i | 0.0343022 | − | 0.0343022i | ||||
\(436\) | 5.23039 | − | 19.5201i | 0.250490 | − | 0.934843i | ||||
\(437\) | −3.99241 | − | 14.8999i | −0.190983 | − | 0.712758i | ||||
\(438\) | 2.56032 | − | 4.43461i | 0.122337 | − | 0.211894i | ||||
\(439\) | −13.6949 | − | 23.7203i | −0.653624 | − | 1.13211i | −0.982237 | − | 0.187645i | \(-0.939915\pi\) |
0.328613 | − | 0.944465i | \(-0.393419\pi\) | |||||||
\(440\) | −19.1598 | + | 19.1598i | −0.913410 | + | 0.913410i | ||||
\(441\) | −5.95574 | + | 3.67820i | −0.283607 | + | 0.175152i | ||||
\(442\) | 1.25848 | + | 9.08952i | 0.0598599 | + | 0.432344i | ||||
\(443\) | 3.27445 | + | 5.67152i | 0.155574 | + | 0.269462i | 0.933268 | − | 0.359181i | \(-0.116944\pi\) |
−0.777694 | + | 0.628643i | \(0.783611\pi\) | |||||||
\(444\) | 0.394589 | − | 0.105730i | 0.0187264 | − | 0.00501771i | ||||
\(445\) | −0.857283 | + | 1.48486i | −0.0406391 | + | 0.0703890i | ||||
\(446\) | −0.843024 | − | 1.46016i | −0.0399183 | − | 0.0691406i | ||||
\(447\) | 2.65655 | + | 2.65655i | 0.125650 | + | 0.125650i | ||||
\(448\) | 0.178913 | − | 0.184299i | 0.00845285 | − | 0.00870729i | ||||
\(449\) | −13.3279 | − | 13.3279i | −0.628980 | − | 0.628980i | 0.318831 | − | 0.947812i | \(-0.396710\pi\) |
−0.947812 | + | 0.318831i | \(0.896710\pi\) | |||||||
\(450\) | 0.345923 | − | 1.29100i | 0.0163070 | − | 0.0608585i | ||||
\(451\) | −42.4818 | − | 24.5269i | −2.00039 | − | 1.15493i | ||||
\(452\) | 10.4440 | + | 6.02982i | 0.491242 | + | 0.283619i | ||||
\(453\) | 2.30870 | + | 0.618613i | 0.108472 | + | 0.0290650i | ||||
\(454\) | 9.89838 | 0.464554 | ||||||||
\(455\) | −2.77663 | + | 25.2807i | −0.130171 | + | 1.18518i | ||||
\(456\) | 9.99350 | 0.467989 | ||||||||
\(457\) | −13.5314 | − | 3.62574i | −0.632974 | − | 0.169605i | −0.0719554 | − | 0.997408i | \(-0.522924\pi\) |
−0.561019 | + | 0.827803i | \(0.689591\pi\) | |||||||
\(458\) | −10.3099 | − | 5.95244i | −0.481751 | − | 0.278139i | ||||
\(459\) | −3.47620 | − | 2.00699i | −0.162255 | − | 0.0936781i | ||||
\(460\) | 3.88278 | − | 14.4907i | 0.181035 | − | 0.675634i | ||||
\(461\) | 4.95593 | + | 4.95593i | 0.230821 | + | 0.230821i | 0.813035 | − | 0.582215i | \(-0.197814\pi\) |
−0.582215 | + | 0.813035i | \(0.697814\pi\) | |||||||
\(462\) | −2.04109 | − | 7.18936i | −0.0949602 | − | 0.334479i | ||||
\(463\) | 21.9607 | + | 21.9607i | 1.02060 | + | 1.02060i | 0.999783 | + | 0.0208179i | \(0.00662701\pi\) |
0.0208179 | + | 0.999783i | \(0.493373\pi\) | |||||||
\(464\) | 0.331975 | + | 0.574998i | 0.0154116 | + | 0.0266936i | ||||
\(465\) | 13.9996 | − | 24.2480i | 0.649216 | − | 1.12447i | ||||
\(466\) | −12.8690 | + | 3.44823i | −0.596143 | + | 0.159736i | ||||
\(467\) | 9.68386 | + | 16.7729i | 0.448116 | + | 0.776159i | 0.998263 | − | 0.0589081i | \(-0.0187619\pi\) |
−0.550148 | + | 0.835067i | \(0.685429\pi\) | |||||||
\(468\) | −4.59434 | − | 3.47685i | −0.212373 | − | 0.160717i | ||||
\(469\) | 16.8656 | − | 30.2387i | 0.778780 | − | 1.39629i | ||||
\(470\) | 5.20728 | − | 5.20728i | 0.240194 | − | 0.240194i | ||||
\(471\) | 2.97601 | + | 5.15461i | 0.137127 | + | 0.237512i | ||||
\(472\) | 4.07244 | − | 7.05367i | 0.187449 | − | 0.324671i | ||||
\(473\) | −4.16464 | − | 15.5426i | −0.191490 | − | 0.714651i | ||||
\(474\) | −0.486961 | + | 1.81736i | −0.0223669 | + | 0.0834742i | ||||
\(475\) | 6.52965 | − | 6.52965i | 0.299601 | − | 0.299601i | ||||
\(476\) | −16.4557 | − | 4.14880i | −0.754244 | − | 0.190160i | ||||
\(477\) | −11.0910 | −0.507822 | ||||||||
\(478\) | 2.11886 | − | 1.22333i | 0.0969145 | − | 0.0559536i | ||||
\(479\) | 0.0710447 | + | 0.265142i | 0.00324612 | + | 0.0121147i | 0.967530 | − | 0.252757i | \(-0.0813372\pi\) |
−0.964284 | + | 0.264871i | \(0.914671\pi\) | |||||||
\(480\) | 13.0957 | + | 7.56079i | 0.597733 | + | 0.345101i | ||||
\(481\) | 0.565979 | + | 0.727484i | 0.0258064 | + | 0.0331704i | ||||
\(482\) | 3.19078i | 0.145336i | ||||||||
\(483\) | 6.68464 | + | 6.48930i | 0.304162 | + | 0.295273i | ||||
\(484\) | −14.1387 | −0.642666 | ||||||||
\(485\) | −24.1326 | + | 13.9330i | −1.09580 | + | 0.632663i | ||||
\(486\) | −0.612438 | + | 0.164102i | −0.0277807 | + | 0.00744383i | ||||
\(487\) | −0.788208 | − | 2.94163i | −0.0357171 | − | 0.133298i | 0.945765 | − | 0.324851i | \(-0.105314\pi\) |
−0.981482 | + | 0.191553i | \(0.938648\pi\) | |||||||
\(488\) | −30.7568 | − | 8.24126i | −1.39230 | − | 0.373064i | ||||
\(489\) | −3.17551 | + | 3.17551i | −0.143601 | + | 0.143601i | ||||
\(490\) | 10.4185 | + | 5.61000i | 0.470658 | + | 0.253434i | ||||
\(491\) | 41.7528i | 1.88428i | 0.335221 | + | 0.942140i | \(0.391189\pi\) | ||||
−0.335221 | + | 0.942140i | \(0.608811\pi\) | |||||||
\(492\) | −4.55393 | + | 16.9955i | −0.205307 | + | 0.766217i | ||||
\(493\) | −0.761646 | + | 1.31921i | −0.0343028 | + | 0.0594142i | ||||
\(494\) | 3.89410 | + | 9.22639i | 0.175204 | + | 0.415115i | ||||
\(495\) | 10.2863 | − | 5.93880i | 0.462335 | − | 0.266929i | ||||
\(496\) | 12.9923 | + | 12.9923i | 0.583370 | + | 0.583370i | ||||
\(497\) | 20.3496 | − | 0.301733i | 0.912805 | − | 0.0135346i | ||||
\(498\) | 7.87637i | 0.352949i | ||||||||
\(499\) | 1.19936 | + | 0.321369i | 0.0536909 | + | 0.0143864i | 0.285565 | − | 0.958359i | \(-0.407819\pi\) |
−0.231874 | + | 0.972746i | \(0.574486\pi\) | |||||||
\(500\) | −11.9013 | + | 3.18893i | −0.532241 | + | 0.142613i | ||||
\(501\) | 5.39315 | − | 1.44509i | 0.240948 | − | 0.0645619i | ||||
\(502\) | 0.0769897 | + | 0.0206293i | 0.00343622 | + | 0.000920732i | ||||
\(503\) | − | 7.14012i | − | 0.318362i | −0.987249 | − | 0.159181i | \(-0.949115\pi\) | ||
0.987249 | − | 0.159181i | \(-0.0508854\pi\) | |||||||
\(504\) | −5.18175 | + | 3.09501i | −0.230813 | + | 0.137863i | ||||
\(505\) | −1.02939 | − | 1.02939i | −0.0458075 | − | 0.0458075i | ||||
\(506\) | −8.61398 | + | 4.97329i | −0.382938 | + | 0.221090i | ||||
\(507\) | 3.19659 | − | 12.6009i | 0.141966 | − | 0.559624i | ||||
\(508\) | −7.03921 | + | 12.1923i | −0.312314 | + | 0.540945i | ||||
\(509\) | 4.50433 | − | 16.8104i | 0.199651 | − | 0.745108i | −0.791363 | − | 0.611347i | \(-0.790628\pi\) |
0.991014 | − | 0.133761i | \(-0.0427054\pi\) | |||||||
\(510\) | 6.78524i | 0.300456i | ||||||||
\(511\) | −10.4083 | + | 18.6612i | −0.460435 | + | 0.825525i | ||||
\(512\) | −12.6612 | + | 12.6612i | −0.559551 | + | 0.559551i | ||||
\(513\) | −4.23139 | − | 1.13380i | −0.186821 | − | 0.0500584i | ||||
\(514\) | 1.09656 | + | 4.09240i | 0.0483670 | + | 0.180508i | ||||
\(515\) | 6.80437 | − | 1.82322i | 0.299836 | − | 0.0803409i | ||||
\(516\) | −4.99839 | + | 2.88582i | −0.220042 | + | 0.127041i | ||||
\(517\) | 19.4085 | 0.853583 | ||||||||
\(518\) | 0.412535 | − | 0.117121i | 0.0181258 | − | 0.00514599i | ||||
\(519\) | − | 8.69183i | − | 0.381529i | ||||||
\(520\) | −2.71704 | + | 21.7602i | −0.119150 | + | 0.954249i | ||||
\(521\) | 4.93163 | + | 2.84728i | 0.216059 | + | 0.124742i | 0.604124 | − | 0.796890i | \(-0.293523\pi\) |
−0.388065 | + | 0.921632i | \(0.626856\pi\) | |||||||
\(522\) | 0.0622763 | + | 0.232418i | 0.00272576 | + | 0.0101727i | ||||
\(523\) | −19.5332 | + | 11.2775i | −0.854128 | + | 0.493131i | −0.862042 | − | 0.506838i | \(-0.830814\pi\) |
0.00791352 | + | 0.999969i | \(0.497481\pi\) | |||||||
\(524\) | −8.05369 | −0.351827 | ||||||||
\(525\) | −1.36345 | + | 5.40795i | −0.0595059 | + | 0.236022i | ||||
\(526\) | −5.07233 | + | 5.07233i | −0.221164 | + | 0.221164i | ||||
\(527\) | −10.9105 | + | 40.7184i | −0.475267 | + | 1.77372i | ||||
\(528\) | 2.01734 | + | 7.52882i | 0.0877935 | + | 0.327650i | ||||
\(529\) | −5.30033 | + | 9.18044i | −0.230449 | + | 0.399149i | ||||
\(530\) | 9.37415 | + | 16.2365i | 0.407187 | + | 0.705269i | ||||
\(531\) | −2.52459 | + | 2.52459i | −0.109558 | + | 0.109558i | ||||
\(532\) | −18.5189 | + | 0.274588i | −0.802896 | + | 0.0119049i | ||||
\(533\) | −39.3246 | + | 5.44466i | −1.70334 | + | 0.235835i | ||||
\(534\) | −0.203878 | − | 0.353126i | −0.00882264 | − | 0.0152813i | ||||
\(535\) | −14.1767 | + | 3.79864i | −0.612914 | + | 0.164230i | ||||
\(536\) | 14.9272 | − | 25.8546i | 0.644756 | − | 1.11675i | ||||
\(537\) | 1.48671 | + | 2.57505i | 0.0641562 | + | 0.111122i | ||||
\(538\) | −12.2760 | − | 12.2760i | −0.529257 | − | 0.529257i | ||||
\(539\) | 8.96097 | + | 29.8704i | 0.385976 | + | 1.28661i | ||||
\(540\) | −3.01253 | − | 3.01253i | −0.129639 | − | 0.129639i | ||||
\(541\) | 3.79928 | − | 14.1791i | 0.163344 | − | 0.609607i | −0.834902 | − | 0.550399i | \(-0.814476\pi\) |
0.998246 | − | 0.0592081i | \(-0.0188576\pi\) | |||||||
\(542\) | 9.57474 | + | 5.52798i | 0.411270 | + | 0.237447i | ||||
\(543\) | −12.1693 | − | 7.02595i | −0.522235 | − | 0.301513i | ||||
\(544\) | −21.9909 | − | 5.89244i | −0.942851 | − | 0.252636i | ||||
\(545\) | 33.7161 | 1.44424 | ||||||||
\(546\) | −4.87657 | − | 3.57798i | −0.208698 | − | 0.153123i | ||||
\(547\) | −12.7838 | −0.546598 | −0.273299 | − | 0.961929i | \(-0.588115\pi\) | ||||
−0.273299 | + | 0.961929i | \(0.588115\pi\) | |||||||
\(548\) | 34.5965 | + | 9.27011i | 1.47789 | + | 0.396000i | ||||
\(549\) | 12.0879 | + | 6.97894i | 0.515898 | + | 0.297854i | ||||
\(550\) | −5.15668 | − | 2.97721i | −0.219881 | − | 0.126949i | ||||
\(551\) | −0.430273 | + | 1.60580i | −0.0183303 | + | 0.0684094i | ||||
\(552\) | 5.68019 | + | 5.68019i | 0.241765 | + | 0.241765i | ||||
\(553\) | 1.91935 | − | 7.61284i | 0.0816191 | − | 0.323731i | ||||
\(554\) | −9.73705 | − | 9.73705i | −0.413687 | − | 0.413687i | ||||
\(555\) | 0.340777 | + | 0.590242i | 0.0144652 | + | 0.0250544i | ||||
\(556\) | −2.15805 | + | 3.73785i | −0.0915217 | + | 0.158520i | ||||
\(557\) | 25.1801 | − | 6.74698i | 1.06691 | − | 0.285879i | 0.317690 | − | 0.948195i | \(-0.397093\pi\) |
0.749225 | + | 0.662316i | \(0.230426\pi\) | |||||||
\(558\) | 3.32936 | + | 5.76662i | 0.140943 | + | 0.244121i | ||||
\(559\) | −10.3842 | − | 7.85845i | −0.439206 | − | 0.332377i | ||||
\(560\) | −10.7779 | − | 6.01135i | −0.455449 | − | 0.254026i | ||||
\(561\) | −12.6449 | + | 12.6449i | −0.533868 | + | 0.533868i | ||||
\(562\) | 6.35648 | + | 11.0098i | 0.268132 | + | 0.464418i | ||||
\(563\) | 3.53955 | − | 6.13068i | 0.149174 | − | 0.258377i | −0.781748 | − | 0.623594i | \(-0.785672\pi\) |
0.930923 | + | 0.365217i | \(0.119005\pi\) | |||||||
\(564\) | −1.80180 | − | 6.72439i | −0.0758693 | − | 0.283148i | ||||
\(565\) | −5.20750 | + | 19.4347i | −0.219081 | + | 0.817622i | ||||
\(566\) | 10.5267 | − | 10.5267i | 0.442468 | − | 0.442468i | ||||
\(567\) | 2.54517 | − | 0.722584i | 0.106887 | − | 0.0303457i | ||||
\(568\) | 17.5482 | 0.736307 | ||||||||
\(569\) | 31.3701 | − | 18.1116i | 1.31510 | − | 0.759276i | 0.332168 | − | 0.943220i | \(-0.392220\pi\) |
0.982937 | + | 0.183944i | \(0.0588866\pi\) | |||||||
\(570\) | 1.91658 | + | 7.15277i | 0.0802767 | + | 0.299597i | ||||
\(571\) | 27.5222 | + | 15.8899i | 1.15177 | + | 0.664974i | 0.949317 | − | 0.314319i | \(-0.101776\pi\) |
0.202451 | + | 0.979292i | \(0.435109\pi\) | |||||||
\(572\) | −20.2594 | + | 15.7617i | −0.847089 | + | 0.659030i | ||||
\(573\) | − | 5.47624i | − | 0.228773i | ||||||
\(574\) | −4.51553 | + | 17.9103i | −0.188475 | + | 0.747560i | ||||
\(575\) | 7.42275 | 0.309550 | ||||||||
\(576\) | −0.0840764 | + | 0.0485415i | −0.00350318 | + | 0.00202256i | ||||
\(577\) | −7.88022 | + | 2.11150i | −0.328058 | + | 0.0879029i | −0.419089 | − | 0.907945i | \(-0.637650\pi\) |
0.0910309 | + | 0.995848i | \(0.470984\pi\) | |||||||
\(578\) | 0.145727 | + | 0.543861i | 0.00606145 | + | 0.0226217i | ||||
\(579\) | 16.8047 | + | 4.50280i | 0.698379 | + | 0.187130i | ||||
\(580\) | −1.14325 | + | 1.14325i | −0.0474708 | + | 0.0474708i | ||||
\(581\) | −0.487278 | − | 32.8632i | −0.0202157 | − | 1.36339i | ||||
\(582\) | − | 6.62702i | − | 0.274699i | ||||||
\(583\) | −12.7886 | + | 47.7277i | −0.529650 | + | 1.97668i | ||||
\(584\) | −9.21202 | + | 15.9557i | −0.381196 | + | 0.660251i | ||||
\(585\) | 3.61921 | − | 8.90533i | 0.149636 | − | 0.368190i | ||||
\(586\) | −7.45652 | + | 4.30502i | −0.308026 | + | 0.177839i | ||||
\(587\) | −25.4365 | − | 25.4365i | −1.04988 | − | 1.04988i | −0.998689 | − | 0.0511873i | \(-0.983699\pi\) |
−0.0511873 | − | 0.998689i | \(-0.516301\pi\) | |||||||
\(588\) | 9.51722 | − | 5.87772i | 0.392484 | − | 0.242393i | ||||
\(589\) | 46.0057i | 1.89563i | ||||||||
\(590\) | 5.82963 | + | 1.56205i | 0.240002 | + | 0.0643084i | ||||
\(591\) | −0.720327 | + | 0.193011i | −0.0296303 | + | 0.00793942i | ||||
\(592\) | −0.432014 | + | 0.115758i | −0.0177557 | + | 0.00475762i | ||||
\(593\) | 35.0090 | + | 9.38063i | 1.43765 | + | 0.385216i | 0.891709 | − | 0.452610i | \(-0.149507\pi\) |
0.545937 | + | 0.837826i | \(0.316174\pi\) | |||||||
\(594\) | 2.82471i | 0.115899i | ||||||||
\(595\) | −0.419774 | − | 28.3106i | −0.0172091 | − | 1.16062i | ||||
\(596\) | −4.24514 | − | 4.24514i | −0.173888 | − | 0.173888i | ||||
\(597\) | −9.36497 | + | 5.40687i | −0.383283 | + | 0.221288i | ||||
\(598\) | −3.03081 | + | 7.45753i | −0.123939 | + | 0.304961i | ||||
\(599\) | 19.1999 | − | 33.2553i | 0.784488 | − | 1.35877i | −0.144816 | − | 0.989459i | \(-0.546259\pi\) |
0.929304 | − | 0.369315i | \(-0.120408\pi\) | |||||||
\(600\) | −1.24463 | + | 4.64502i | −0.0508117 | + | 0.189632i | ||||
\(601\) | 11.4894i | 0.468662i | 0.972157 | + | 0.234331i | \(0.0752900\pi\) | ||||
−0.972157 | + | 0.234331i | \(0.924710\pi\) | |||||||
\(602\) | −5.20165 | + | 3.10690i | −0.212003 | + | 0.126628i | ||||
\(603\) | −9.25368 | + | 9.25368i | −0.376839 | + | 0.376839i | ||||
\(604\) | −3.68927 | − | 0.988538i | −0.150114 | − | 0.0402230i | ||||
\(605\) | −6.10524 | − | 22.7851i | −0.248213 | − | 0.926345i | ||||
\(606\) | 0.334415 | − | 0.0896063i | 0.0135847 | − | 0.00364001i | ||||
\(607\) | 6.82222 | − | 3.93881i | 0.276906 | − | 0.159871i | −0.355116 | − | 0.934822i | \(-0.615559\pi\) |
0.632022 | + | 0.774951i | \(0.282225\pi\) | |||||||
\(608\) | −24.8464 | −1.00766 | ||||||||
\(609\) | −0.274219 | − | 0.965883i | −0.0111119 | − | 0.0391396i | ||||
\(610\) | − | 23.5945i | − | 0.955313i | ||||||
\(611\) | 12.3974 | − | 9.64514i | 0.501547 | − | 0.390201i | ||||
\(612\) | 5.55494 | + | 3.20714i | 0.224545 | + | 0.129641i | ||||
\(613\) | 4.93561 | + | 18.4199i | 0.199347 | + | 0.743974i | 0.991099 | + | 0.133131i | \(0.0425030\pi\) |
−0.791751 | + | 0.610844i | \(0.790830\pi\) | |||||||
\(614\) | −15.1705 | + | 8.75868i | −0.612231 | + | 0.353472i | ||||
\(615\) | −29.3555 | −1.18373 | ||||||||
\(616\) | 7.34383 | + | 25.8673i | 0.295891 | + | 1.04222i | ||||
\(617\) | 15.5811 | − | 15.5811i | 0.627271 | − | 0.627271i | −0.320109 | − | 0.947381i | \(-0.603720\pi\) |
0.947381 | + | 0.320109i | \(0.103720\pi\) | |||||||
\(618\) | −0.433596 | + | 1.61820i | −0.0174418 | + | 0.0650937i | ||||
\(619\) | 3.91524 | + | 14.6119i | 0.157367 | + | 0.587300i | 0.998891 | + | 0.0470813i | \(0.0149920\pi\) |
−0.841524 | + | 0.540219i | \(0.818341\pi\) | |||||||
\(620\) | −22.3712 | + | 38.7481i | −0.898450 | + | 1.55616i | ||||
\(621\) | −1.76064 | − | 3.04951i | −0.0706519 | − | 0.122373i | ||||
\(622\) | −4.70480 | + | 4.70480i | −0.188645 | + | 0.188645i | ||||
\(623\) | 0.872499 | + | 1.46076i | 0.0349559 | + | 0.0585242i | ||||
\(624\) | 5.03010 | + | 3.80662i | 0.201365 | + | 0.152387i | ||||
\(625\) | −15.5482 | − | 26.9302i | −0.621926 | − | 1.07721i | ||||
\(626\) | −4.37834 | + | 1.17317i | −0.174994 | + | 0.0468894i | ||||
\(627\) | −9.75810 | + | 16.9015i | −0.389701 | + | 0.674982i | ||||
\(628\) | −4.75564 | − | 8.23701i | −0.189771 | − | 0.328693i | ||||
\(629\) | −0.725582 | − | 0.725582i | −0.0289308 | − | 0.0289308i | ||||
\(630\) | −3.20900 | − | 3.11523i | −0.127850 | − | 0.124114i | ||||
\(631\) | 33.3285 | + | 33.3285i | 1.32679 | + | 1.32679i | 0.908157 | + | 0.418630i | \(0.137490\pi\) |
0.418630 | + | 0.908157i | \(0.362510\pi\) | |||||||
\(632\) | 1.75208 | − | 6.53885i | 0.0696940 | − | 0.260102i | ||||
\(633\) | −15.6690 | − | 9.04650i | −0.622786 | − | 0.359566i | ||||
\(634\) | −17.6278 | − | 10.1774i | −0.700090 | − | 0.404197i | ||||
\(635\) | −22.6880 | − | 6.07924i | −0.900346 | − | 0.241247i | ||||
\(636\) | 17.7233 | 0.702775 | ||||||||
\(637\) | 20.5682 | + | 14.6270i | 0.814943 | + | 0.579541i | ||||
\(638\) | 1.07197 | 0.0424397 | ||||||||
\(639\) | −7.43017 | − | 1.99091i | −0.293933 | − | 0.0787591i | ||||
\(640\) | −26.0492 | − | 15.0395i | −1.02969 | − | 0.594490i | ||||
\(641\) | −4.68848 | − | 2.70690i | −0.185184 | − | 0.106916i | 0.404542 | − | 0.914519i | \(-0.367431\pi\) |
−0.589726 | + | 0.807603i | \(0.700764\pi\) | |||||||
\(642\) | 0.903387 | − | 3.37149i | 0.0356538 | − | 0.133062i | ||||
\(643\) | −28.8484 | − | 28.8484i | −1.13767 | − | 1.13767i | −0.988867 | − | 0.148804i | \(-0.952458\pi\) |
−0.148804 | − | 0.988867i | \(-0.547542\pi\) | |||||||
\(644\) | −10.6820 | − | 10.3698i | −0.420929 | − | 0.408629i | ||||
\(645\) | −6.80899 | − | 6.80899i | −0.268104 | − | 0.268104i | ||||
\(646\) | −5.57445 | − | 9.65523i | −0.219324 | − | 0.379880i | ||||
\(647\) | −10.6093 | + | 18.3758i | −0.417094 | + | 0.722428i | −0.995646 | − | 0.0932180i | \(-0.970285\pi\) |
0.578552 | + | 0.815646i | \(0.303618\pi\) | |||||||
\(648\) | 2.20355 | − | 0.590438i | 0.0865634 | − | 0.0231946i | ||||
\(649\) | 7.95302 | + | 13.7750i | 0.312183 | + | 0.540717i | ||||
\(650\) | −4.77345 | + | 0.660903i | −0.187230 | + | 0.0259228i | ||||
\(651\) | −14.2481 | − | 23.8545i | −0.558427 | − | 0.934932i | ||||
\(652\) | 5.07443 | − | 5.07443i | 0.198730 | − | 0.198730i | ||||
\(653\) | 0.627139 | + | 1.08624i | 0.0245418 | + | 0.0425077i | 0.878035 | − | 0.478596i | \(-0.158854\pi\) |
−0.853494 | + | 0.521103i | \(0.825521\pi\) | |||||||
\(654\) | −4.00915 | + | 6.94405i | −0.156770 | + | 0.271534i | ||||
\(655\) | −3.47768 | − | 12.9789i | −0.135884 | − | 0.507127i | ||||
\(656\) | 4.98586 | − | 18.6075i | 0.194665 | − | 0.726500i | ||||
\(657\) | 5.71073 | − | 5.71073i | 0.222797 | − | 0.222797i | ||||
\(658\) | −1.99591 | − | 7.03023i | −0.0778088 | − | 0.274067i | ||||
\(659\) | 7.07902 | 0.275760 | 0.137880 | − | 0.990449i | \(-0.455971\pi\) | ||||
0.137880 | + | 0.990449i | \(0.455971\pi\) | |||||||
\(660\) | −16.4374 | + | 9.49015i | −0.639826 | + | 0.369403i | ||||
\(661\) | −4.81618 | − | 17.9742i | −0.187328 | − | 0.699117i | −0.994120 | − | 0.108282i | \(-0.965465\pi\) |
0.806792 | − | 0.590835i | \(-0.201202\pi\) | |||||||
\(662\) | 5.34845 | + | 3.08793i | 0.207874 | + | 0.120016i | ||||
\(663\) | −1.79316 | + | 14.3611i | −0.0696407 | + | 0.557738i | ||||
\(664\) | − | 28.3391i | − | 1.09977i | ||||||
\(665\) | −8.43919 | − | 29.7255i | −0.327258 | − | 1.15270i | ||||
\(666\) | −0.162086 | −0.00628070 | ||||||||
\(667\) | −1.15728 | + | 0.668156i | −0.0448101 | + | 0.0258711i | ||||
\(668\) | −8.61820 | + | 2.30924i | −0.333448 | + | 0.0893472i | ||||
\(669\) | −0.688253 | − | 2.56859i | −0.0266094 | − | 0.0993076i | ||||
\(670\) | 21.3680 | + | 5.72554i | 0.825519 | + | 0.221197i | ||||
\(671\) | 43.9704 | − | 43.9704i | 1.69746 | − | 1.69746i | ||||
\(672\) | 12.8832 | − | 7.69500i | 0.496979 | − | 0.296841i | ||||
\(673\) | 13.2257i | 0.509814i | 0.966966 | + | 0.254907i | \(0.0820449\pi\) | ||||
−0.966966 | + | 0.254907i | \(0.917955\pi\) | |||||||
\(674\) | 1.64265 | − | 6.13045i | 0.0632725 | − | 0.236136i | ||||
\(675\) | 1.05399 | − | 1.82556i | 0.0405680 | − | 0.0702658i | ||||
\(676\) | −5.10813 | + | 20.1361i | −0.196466 | + | 0.774464i | ||||
\(677\) | 17.3206 | − | 10.0001i | 0.665686 | − | 0.384334i | −0.128754 | − | 0.991677i | \(-0.541098\pi\) |
0.794440 | + | 0.607343i | \(0.207764\pi\) | |||||||
\(678\) | −3.38348 | − | 3.38348i | −0.129942 | − | 0.129942i | ||||
\(679\) | 0.409986 | + | 27.6504i | 0.0157338 | + | 1.06113i | ||||
\(680\) | − | 24.4132i | − | 0.936205i | ||||||
\(681\) | 15.0796 | + | 4.04057i | 0.577852 | + | 0.154835i | ||||
\(682\) | 28.6543 | − | 7.67791i | 1.09723 | − | 0.294002i | ||||
\(683\) | −14.1596 | + | 3.79406i | −0.541804 | + | 0.145176i | −0.519333 | − | 0.854572i | \(-0.673820\pi\) |
−0.0224701 | + | 0.999748i | \(0.507153\pi\) | |||||||
\(684\) | 6.76172 | + | 1.81180i | 0.258541 | + | 0.0692758i | ||||
\(685\) | 59.7568i | 2.28319i | ||||||||
\(686\) | 9.89829 | − | 6.31768i | 0.377919 | − | 0.241210i | ||||
\(687\) | −13.2768 | − | 13.2768i | −0.506540 | − | 0.506540i | ||||
\(688\) | 5.47246 | − | 3.15953i | 0.208636 | − | 0.120456i | ||||
\(689\) | 15.5496 | + | 36.8421i | 0.592394 | + | 1.40357i | ||||
\(690\) | −2.97619 | + | 5.15491i | −0.113302 | + | 0.196244i | ||||
\(691\) | 2.51149 | − | 9.37299i | 0.0955414 | − | 0.356565i | −0.901560 | − | 0.432655i | \(-0.857577\pi\) |
0.997101 | + | 0.0760896i | \(0.0242435\pi\) | |||||||
\(692\) | 13.8895i | 0.527998i | ||||||||
\(693\) | −0.174753 | − | 11.7857i | −0.00663831 | − | 0.447704i | ||||
\(694\) | −12.7054 | + | 12.7054i | −0.482291 | + | 0.482291i | ||||
\(695\) | −6.95559 | − | 1.86375i | −0.263841 | − | 0.0706959i | ||||
\(696\) | −0.224070 | − | 0.836239i | −0.00849334 | − | 0.0316976i | ||||
\(697\) | 42.6908 | − | 11.4390i | 1.61703 | − | 0.433282i | ||||
\(698\) | −1.03171 | + | 0.595656i | −0.0390507 | + | 0.0225459i | ||||
\(699\) | −21.0127 | −0.794772 | ||||||||
\(700\) | 2.17878 | − | 8.64185i | 0.0823502 | − | 0.326631i | ||||
\(701\) | − | 36.6271i | − | 1.38339i | −0.722191 | − | 0.691693i | \(-0.756865\pi\) | ||
0.722191 | − | 0.691693i | \(-0.243135\pi\) | |||||||
\(702\) | 1.40376 | + | 1.80433i | 0.0529814 | + | 0.0680999i | ||||
\(703\) | −0.969833 | − | 0.559933i | −0.0365779 | − | 0.0211183i | ||||
\(704\) | 0.111943 | + | 0.417776i | 0.00421900 | + | 0.0157455i | ||||
\(705\) | 10.0586 | − | 5.80735i | 0.378830 | − | 0.218717i | ||||
\(706\) | −22.9056 | −0.862065 | ||||||||
\(707\) | −1.38976 | + | 0.394560i | −0.0522673 | + | 0.0148389i | ||||
\(708\) | 4.03427 | − | 4.03427i | 0.151617 | − | 0.151617i | ||||
\(709\) | −0.595933 | + | 2.22405i | −0.0223807 | + | 0.0835260i | −0.976213 | − | 0.216814i | \(-0.930433\pi\) |
0.953832 | + | 0.300340i | \(0.0971001\pi\) | |||||||
\(710\) | 3.36544 | + | 12.5600i | 0.126303 | + | 0.471369i | ||||
\(711\) | −1.48371 | + | 2.56986i | −0.0556436 | + | 0.0963775i | ||||
\(712\) | 0.733549 | + | 1.27054i | 0.0274909 | + | 0.0476157i | ||||
\(713\) | −26.1491 | + | 26.1491i | −0.979292 | + | 0.979292i | ||||
\(714\) | 5.88067 | + | 3.27993i | 0.220078 | + | 0.122748i | ||||
\(715\) | −34.1490 | − | 25.8429i | −1.27710 | − | 0.966468i | ||||
\(716\) | −2.37575 | − | 4.11491i | −0.0887858 | − | 0.153781i | ||||
\(717\) | 3.72733 | − | 0.998734i | 0.139200 | − | 0.0372984i | ||||
\(718\) | 1.96281 | − | 3.39969i | 0.0732515 | − | 0.126875i | ||||
\(719\) | 11.6951 | + | 20.2565i | 0.436153 | + | 0.755438i | 0.997389 | − | 0.0722171i | \(-0.0230075\pi\) |
−0.561236 | + | 0.827656i | \(0.689674\pi\) | |||||||
\(720\) | 3.29826 | + | 3.29826i | 0.122919 | + | 0.122919i | ||||
\(721\) | 1.70901 | − | 6.77857i | 0.0636470 | − | 0.252447i | ||||
\(722\) | −0.0852623 | − | 0.0852623i | −0.00317313 | − | 0.00317313i | ||||
\(723\) | −1.30249 | + | 4.86096i | −0.0484402 | + | 0.180781i | ||||
\(724\) | 19.4464 | + | 11.2274i | 0.722721 | + | 0.417263i | ||||
\(725\) | −0.692794 | − | 0.399985i | −0.0257297 | − | 0.0148551i | ||||
\(726\) | 5.41871 | + | 1.45194i | 0.201107 | + | 0.0538865i | ||||
\(727\) | −12.6815 | −0.470329 | −0.235165 | − | 0.971956i | \(-0.575563\pi\) | ||||
−0.235165 | + | 0.971956i | \(0.575563\pi\) | |||||||
\(728\) | 17.5459 | + | 12.8735i | 0.650293 | + | 0.477125i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −13.1869 | − | 3.53341i | −0.488068 | − | 0.130777i | ||||
\(731\) | 12.5554 | + | 7.24885i | 0.464378 | + | 0.268109i | ||||
\(732\) | −19.3163 | − | 11.1523i | −0.713951 | − | 0.412200i | ||||
\(733\) | 0.0590689 | − | 0.220448i | 0.00218176 | − | 0.00814244i | −0.964826 | − | 0.262888i | \(-0.915325\pi\) |
0.967008 | + | 0.254746i | \(0.0819917\pi\) | |||||||
\(734\) | −6.62020 | − | 6.62020i | −0.244356 | − | 0.244356i | ||||
\(735\) | 13.5819 | + | 12.7994i | 0.500975 | + | 0.472112i | ||||
\(736\) | −14.1224 | − | 14.1224i | −0.520559 | − | 0.520559i | ||||
\(737\) | 29.1511 | + | 50.4912i | 1.07380 | + | 1.85987i | ||||
\(738\) | 3.49064 | − | 6.04596i | 0.128492 | − | 0.222555i | ||||
\(739\) | −24.6895 | + | 6.61553i | −0.908218 | + | 0.243356i | −0.682542 | − | 0.730846i | \(-0.739126\pi\) |
−0.225676 | + | 0.974202i | \(0.572459\pi\) | |||||||
\(740\) | −0.544558 | − | 0.943202i | −0.0200183 | − | 0.0346728i | ||||
\(741\) | 2.16618 | + | 15.6454i | 0.0795765 | + | 0.574750i | ||||
\(742\) | 18.6033 | − | 0.275840i | 0.682949 | − | 0.0101264i | ||||
\(743\) | 20.2576 | − | 20.2576i | 0.743179 | − | 0.743179i | −0.230010 | − | 0.973188i | \(-0.573876\pi\) |
0.973188 | + | 0.230010i | \(0.0738758\pi\) | |||||||
\(744\) | −11.9790 | − | 20.7482i | −0.439172 | − | 0.760668i | ||||
\(745\) | 5.00813 | − | 8.67434i | 0.183484 | − | 0.317803i | ||||
\(746\) | 3.05854 | + | 11.4146i | 0.111981 | + | 0.417919i | ||||
\(747\) | −3.21517 | + | 11.9992i | −0.117637 | + | 0.439027i | ||||
\(748\) | 20.2064 | − | 20.2064i | 0.738820 | − | 0.738820i | ||||
\(749\) | −3.56069 | + | 14.1230i | −0.130105 | + | 0.516043i | ||||
\(750\) | 4.88870 | 0.178510 | ||||||||
\(751\) | −20.7644 | + | 11.9883i | −0.757705 | + | 0.437461i | −0.828471 | − | 0.560032i | \(-0.810789\pi\) |
0.0707663 | + | 0.997493i | \(0.477456\pi\) | |||||||
\(752\) | 1.97269 | + | 7.36217i | 0.0719366 | + | 0.268471i | ||||
\(753\) | 0.108868 | + | 0.0628551i | 0.00396738 | + | 0.00229057i | ||||
\(754\) | 0.684737 | − | 0.532722i | 0.0249366 | − | 0.0194006i | ||||
\(755\) | − | 6.37230i | − | 0.231912i | ||||||
\(756\) | −4.06715 | + | 1.15468i | −0.147921 | + | 0.0419954i | ||||
\(757\) | 26.4959 | 0.963009 | 0.481504 | − | 0.876444i | \(-0.340091\pi\) | ||||
0.481504 | + | 0.876444i | \(0.340091\pi\) | |||||||
\(758\) | 20.0257 | − | 11.5618i | 0.727366 | − | 0.419945i | ||||
\(759\) | −15.1530 | + | 4.06024i | −0.550020 | + | 0.147377i | ||||
\(760\) | −6.89583 | − | 25.7356i | −0.250138 | − | 0.933529i | ||||
\(761\) | 6.67547 | + | 1.78869i | 0.241986 | + | 0.0648399i | 0.377773 | − | 0.925898i | \(-0.376690\pi\) |
−0.135788 | + | 0.990738i | \(0.543357\pi\) | |||||||
\(762\) | 3.94987 | − | 3.94987i | 0.143089 | − | 0.143089i | ||||
\(763\) | 16.2981 | − | 29.2212i | 0.590029 | − | 1.05788i | ||||
\(764\) | 8.75097i | 0.316599i | ||||||||
\(765\) | −2.76977 | + | 10.3369i | −0.100141 | + | 0.373732i | ||||
\(766\) | −2.80430 | + | 4.85718i | −0.101323 | + | 0.175497i | ||||
\(767\) | 11.9257 | + | 4.84671i | 0.430612 | + | 0.175005i | ||||
\(768\) | 6.36314 | − | 3.67376i | 0.229610 | − | 0.132565i | ||||
\(769\) | 16.0449 | + | 16.0449i | 0.578594 | + | 0.578594i | 0.934516 | − | 0.355922i | \(-0.115833\pi\) |
−0.355922 | + | 0.934516i | \(0.615833\pi\) | |||||||
\(770\) | −17.1059 | + | 10.2172i | −0.616453 | + | 0.368202i | ||||
\(771\) | 6.68215i | 0.240652i | ||||||||
\(772\) | −26.8537 | − | 7.19544i | −0.966487 | − | 0.258969i | ||||
\(773\) | 39.1653 | − | 10.4943i | 1.40868 | − | 0.377454i | 0.527224 | − | 0.849726i | \(-0.323233\pi\) |
0.881453 | + | 0.472273i | \(0.156566\pi\) | |||||||
\(774\) | 2.21201 | − | 0.592706i | 0.0795090 | − | 0.0213044i | ||||
\(775\) | −21.3836 | − | 5.72973i | −0.768123 | − | 0.205818i | ||||
\(776\) | 23.8440i | 0.855949i | ||||||||
\(777\) | 0.676282 | − | 0.0100276i | 0.0242615 | − | 0.000359737i | ||||
\(778\) | −1.94920 | − | 1.94920i | −0.0698822 | − | 0.0698822i | ||||
\(779\) | 41.7721 | − | 24.1171i | 1.49664 | − | 0.864086i | ||||
\(780\) | −5.78346 | + | 14.2306i | −0.207081 | + | 0.509539i | ||||
\(781\) | −17.1349 | + | 29.6785i | −0.613134 | + | 1.06198i | ||||
\(782\) | 2.31947 | − | 8.65637i | 0.0829440 | − | 0.309551i | ||||
\(783\) | 0.379497i | 0.0135621i | ||||||||
\(784\) | −10.4199 | + | 6.43520i | −0.372139 | + | 0.229829i | ||||
\(785\) | 11.2208 | − | 11.2208i | 0.400487 | − | 0.400487i | ||||
\(786\) | 3.08662 | + | 0.827057i | 0.110096 | + | 0.0295001i | ||||
\(787\) | −10.1123 | − | 37.7395i | −0.360463 | − | 1.34527i | −0.873468 | − | 0.486881i | \(-0.838135\pi\) |
0.513005 | − | 0.858385i | \(-0.328532\pi\) | |||||||
\(788\) | 1.15108 | − | 0.308430i | 0.0410054 | − | 0.0109874i | ||||
\(789\) | −9.79794 | + | 5.65684i | −0.348816 | + | 0.201389i | ||||
\(790\) | 5.01615 | 0.178467 | ||||||||
\(791\) | 14.3264 | + | 13.9078i | 0.509390 | + | 0.494505i | ||||
\(792\) | − | 10.1633i | − | 0.361137i | ||||||
\(793\) | 6.23540 | − | 49.9381i | 0.221426 | − | 1.77335i | ||||
\(794\) | 2.68143 | + | 1.54812i | 0.0951603 | + | 0.0549408i | ||||
\(795\) | 7.65314 | + | 28.5619i | 0.271429 | + | 1.01299i | ||||
\(796\) | 14.9651 | − | 8.64012i | 0.530425 | − | 0.306241i | ||||
\(797\) | 32.6956 | 1.15814 | 0.579069 | − | 0.815278i | \(-0.303416\pi\) | ||||
0.579069 | + | 0.815278i | \(0.303416\pi\) | |||||||
\(798\) | 7.12566 | + | 1.79652i | 0.252245 | + | 0.0635961i | ||||
\(799\) | −12.3650 | + | 12.3650i | −0.437443 | + | 0.437443i | ||||
\(800\) | 3.09447 | − | 11.5487i | 0.109406 | − | 0.408309i | ||||
\(801\) | −0.166448 | − | 0.621191i | −0.00588113 | − | 0.0219487i | ||||
\(802\) | −5.85717 | + | 10.1449i | −0.206824 | + | 0.358229i | ||||
\(803\) | −17.9901 | − | 31.1597i | −0.634855 | − | 1.09960i | ||||
\(804\) | 14.7873 | − | 14.7873i | 0.521507 | − | 0.521507i | ||||
\(805\) | 12.0989 | − | 21.6923i | 0.426429 | − | 0.764554i | ||||
\(806\) | 14.4878 | − | 19.1443i | 0.510311 | − | 0.674330i | ||||
\(807\) | −13.6907 | − | 23.7129i | −0.481934 | − | 0.834735i | ||||
\(808\) | −1.20322 | + | 0.322402i | −0.0423292 | + | 0.0113421i | ||||
\(809\) | −22.8560 | + | 39.5878i | −0.803574 | + | 1.39183i | 0.113675 | + | 0.993518i | \(0.463738\pi\) |
−0.917249 | + | 0.398314i | \(0.869596\pi\) | |||||||
\(810\) | 0.845203 | + | 1.46393i | 0.0296974 | + | 0.0514374i | ||||
\(811\) | −28.8393 | − | 28.8393i | −1.01268 | − | 1.01268i | −0.999919 | − | 0.0127654i | \(-0.995937\pi\) |
−0.0127654 | − | 0.999919i | \(-0.504063\pi\) | |||||||
\(812\) | 0.438199 | + | 1.54347i | 0.0153778 | + | 0.0541653i | ||||
\(813\) | 12.3300 | + | 12.3300i | 0.432432 | + | 0.432432i | ||||
\(814\) | −0.186895 | + | 0.697501i | −0.00655066 | + | 0.0244474i | ||||
\(815\) | 10.3689 | + | 5.98647i | 0.363206 | + | 0.209697i | ||||
\(816\) | −6.08180 | − | 3.51133i | −0.212906 | − | 0.122921i | ||||
\(817\) | 15.2830 | + | 4.09506i | 0.534684 | + | 0.143268i | ||||
\(818\) | 15.5626 | 0.544134 | ||||||||
\(819\) | −5.96862 | − | 7.44148i | −0.208560 | − | 0.260026i | ||||
\(820\) | 46.9098 | 1.63816 | ||||||||
\(821\) | −17.8485 | − | 4.78248i | −0.622916 | − | 0.166910i | −0.0664629 | − | 0.997789i | \(-0.521171\pi\) |
−0.556453 | + | 0.830879i | \(0.687838\pi\) | |||||||
\(822\) | −12.3073 | − | 7.10563i | −0.429267 | − | 0.247837i | ||||
\(823\) | −27.6431 | − | 15.9598i | −0.963579 | − | 0.556322i | −0.0663061 | − | 0.997799i | \(-0.521121\pi\) |
−0.897273 | + | 0.441477i | \(0.854455\pi\) | |||||||
\(824\) | 1.56008 | − | 5.82228i | 0.0543478 | − | 0.202829i | ||||
\(825\) | −6.64058 | − | 6.64058i | −0.231195 | − | 0.231195i | ||||
\(826\) | 4.17180 | − | 4.29737i | 0.145155 | − | 0.149525i | ||||
\(827\) | −36.1938 | − | 36.1938i | −1.25858 | − | 1.25858i | −0.951770 | − | 0.306814i | \(-0.900737\pi\) |
−0.306814 | − | 0.951770i | \(-0.599263\pi\) | |||||||
\(828\) | 2.81348 | + | 4.87309i | 0.0977751 | + | 0.169351i | ||||
\(829\) | 4.66716 | − | 8.08376i | 0.162097 | − | 0.280761i | −0.773523 | − | 0.633768i | \(-0.781508\pi\) |
0.935621 | + | 0.353007i | \(0.114841\pi\) | |||||||
\(830\) | 20.2835 | − | 5.43495i | 0.704051 | − | 0.188650i | ||||
\(831\) | −10.8591 | − | 18.8085i | −0.376698 | − | 0.652460i | ||||
\(832\) | 0.279121 | + | 0.211230i | 0.00967678 | + | 0.00732308i | ||||
\(833\) | −24.7392 | − | 13.3213i | −0.857164 | − | 0.461555i | ||||
\(834\) | 1.21093 | − | 1.21093i | 0.0419312 | − | 0.0419312i | ||||
\(835\) | −7.44289 | − | 12.8915i | −0.257572 | − | 0.446128i | ||||
\(836\) | 15.5934 | − | 27.0085i | 0.539307 | − | 0.934108i | ||||
\(837\) | 2.71812 | + | 10.1442i | 0.0939520 | + | 0.350634i | ||||
\(838\) | −0.966242 | + | 3.60606i | −0.0333783 | + | 0.124569i | ||||
\(839\) | −12.5740 | + | 12.5740i | −0.434102 | + | 0.434102i | −0.890021 | − | 0.455919i | \(-0.849311\pi\) |
0.455919 | + | 0.890021i | \(0.349311\pi\) | |||||||
\(840\) | 11.5459 | + | 11.2086i | 0.398373 | + | 0.386732i | ||||
\(841\) | −28.8560 | −0.995034 | ||||||||
\(842\) | 11.5733 | − | 6.68184i | 0.398842 | − | 0.230272i | ||||
\(843\) | 5.18949 | + | 19.3675i | 0.178736 | + | 0.667050i | ||||
\(844\) | 25.0389 | + | 14.4562i | 0.861874 | + | 0.497603i | ||||
\(845\) | −34.6559 | + | 0.463019i | −1.19220 | + | 0.0159283i | ||||
\(846\) | 2.76219i | 0.0949660i | ||||||||
\(847\) | −22.6987 | − | 5.72280i | −0.779937 | − | 0.196638i | ||||
\(848\) | −19.4043 | −0.666347 | ||||||||
\(849\) | 20.3338 | − | 11.7397i | 0.697853 | − | 0.402906i | ||||
\(850\) | 5.18205 | − | 1.38853i | 0.177743 | − | 0.0476261i | ||||
\(851\) | −0.232982 | − | 0.869501i | −0.00798652 | − | 0.0298061i | ||||
\(852\) | 11.8733 | + | 3.18145i | 0.406774 | + | 0.108995i | ||||
\(853\) | −15.0336 | + | 15.0336i | −0.514741 | + | 0.514741i | −0.915975 | − | 0.401234i | \(-0.868581\pi\) |
0.401234 | + | 0.915975i | \(0.368581\pi\) | |||||||
\(854\) | −20.4490 | − | 11.4054i | −0.699749 | − | 0.390284i | ||||
\(855\) | 11.6792i | 0.399420i | ||||||||
\(856\) | −3.25038 | + | 12.1306i | −0.111096 | + | 0.414615i | ||||
\(857\) | 2.16516 | − | 3.75017i | 0.0739605 | − | 0.128103i | −0.826673 | − | 0.562682i | \(-0.809769\pi\) |
0.900634 | + | 0.434579i | \(0.143103\pi\) | |||||||
\(858\) | 9.38314 | − | 3.96026i | 0.320335 | − | 0.135201i | ||||
\(859\) | 24.0746 | − | 13.8995i | 0.821415 | − | 0.474244i | −0.0294890 | − | 0.999565i | \(-0.509388\pi\) |
0.850904 | + | 0.525321i | \(0.176055\pi\) | |||||||
\(860\) | 10.8807 | + | 10.8807i | 0.371029 | + | 0.371029i | ||||
\(861\) | −14.1902 | + | 25.4419i | −0.483601 | + | 0.867059i | ||||
\(862\) | − | 8.07397i | − | 0.275001i | ||||||
\(863\) | −21.2044 | − | 5.68171i | −0.721807 | − | 0.193408i | −0.120829 | − | 0.992673i | \(-0.538555\pi\) |
−0.600978 | + | 0.799266i | \(0.705222\pi\) | |||||||
\(864\) | −5.47858 | + | 1.46798i | −0.186385 | + | 0.0499418i | ||||
\(865\) | −22.3835 | + | 5.99764i | −0.761062 | + | 0.203926i | ||||
\(866\) | 15.3068 | + | 4.10143i | 0.520145 | + | 0.139372i | ||||
\(867\) | 0.888027i | 0.0301590i | ||||||||
\(868\) | 22.7683 | + | 38.1193i | 0.772807 | + | 1.29385i | ||||
\(869\) | 9.34804 | + | 9.34804i | 0.317111 | + | 0.317111i | ||||
\(870\) | 0.555559 | − | 0.320752i | 0.0188352 | − | 0.0108745i | ||||
\(871\) | 43.7126 | + | 17.7652i | 1.48115 | + | 0.601951i | ||||
\(872\) | 14.4249 | − | 24.9846i | 0.488488 | − | 0.846086i | ||||
\(873\) | 2.70518 | − | 10.0959i | 0.0915566 | − | 0.341694i | ||||
\(874\) | − | 9.78041i | − | 0.330827i | ||||||
\(875\) | −20.3975 | + | 0.302443i | −0.689560 | + | 0.0102244i | ||||
\(876\) | −9.12569 | + | 9.12569i | −0.308329 | + | 0.308329i | ||||
\(877\) | −13.5828 | − | 3.63951i | −0.458660 | − | 0.122898i | 0.0220888 | − | 0.999756i | \(-0.492968\pi\) |
−0.480749 | + | 0.876859i | \(0.659635\pi\) | |||||||
\(878\) | −4.49474 | − | 16.7746i | −0.151690 | − | 0.566115i | ||||
\(879\) | −13.1169 | + | 3.51466i | −0.442422 | + | 0.118547i | ||||
\(880\) | 17.9964 | − | 10.3903i | 0.606660 | − | 0.350255i | ||||
\(881\) | −5.27268 | −0.177641 | −0.0888205 | − | 0.996048i | \(-0.528310\pi\) | ||||
−0.0888205 | + | 0.996048i | \(0.528310\pi\) | |||||||
\(882\) | −4.25112 | + | 1.27532i | −0.143143 | + | 0.0429421i | ||||
\(883\) | 43.5789i | 1.46655i | 0.679934 | + | 0.733274i | \(0.262009\pi\) | ||||
−0.679934 | + | 0.733274i | \(0.737991\pi\) | |||||||
\(884\) | 2.86546 | − | 22.9488i | 0.0963757 | − | 0.771853i | ||||
\(885\) | 8.24346 | + | 4.75937i | 0.277101 | + | 0.159984i | ||||
\(886\) | 1.07469 | + | 4.01080i | 0.0361049 | + | 0.134745i | ||||
\(887\) | 0.278768 | − | 0.160947i | 0.00936011 | − | 0.00540406i | −0.495313 | − | 0.868715i | \(-0.664946\pi\) |
0.504673 | + | 0.863311i | \(0.331613\pi\) | |||||||
\(888\) | 0.583183 | 0.0195703 | ||||||||
\(889\) | −16.2360 | + | 16.7247i | −0.544537 | + | 0.560928i | ||||
\(890\) | −0.768701 | + | 0.768701i | −0.0257669 | + | 0.0257669i | ||||
\(891\) | −1.15306 | + | 4.30328i | −0.0386290 | + | 0.144165i | ||||
\(892\) | 1.09982 | + | 4.10459i | 0.0368247 | + | 0.137432i | ||||
\(893\) | −9.54211 | + | 16.5274i | −0.319315 | + | 0.553069i | ||||
\(894\) | 1.19103 | + | 2.06292i | 0.0398338 | + | 0.0689942i | ||||
\(895\) | 5.60549 | − | 5.60549i | 0.187371 | − | 0.187371i | ||||
\(896\) | −25.6265 | + | 15.3065i | −0.856122 | + | 0.511354i | ||||
\(897\) | −7.66145 | + | 10.1239i | −0.255808 | + | 0.338028i | ||||
\(898\) | −5.97535 | − | 10.3496i | −0.199400 | − | 0.345371i | ||||
\(899\) | 3.84968 | − | 1.03152i | 0.128394 | − | 0.0344031i | ||||
\(900\) | −1.68426 | + | 2.91723i | −0.0561420 | + | 0.0972409i | ||||
\(901\) | −22.2595 | − | 38.5546i | −0.741571 | − | 1.28444i | ||||
\(902\) | −21.9925 | − | 21.9925i | −0.732272 | − | 0.732272i | ||||
\(903\) | −9.19266 | + | 2.60984i | −0.305913 | + | 0.0868500i | ||||
\(904\) | 12.1737 | + | 12.1737i | 0.404892 | + | 0.404892i | ||||
\(905\) | −9.69626 | + | 36.1870i | −0.322315 | + | 1.20289i | ||||
\(906\) | 1.31242 | + | 0.757724i | 0.0436021 | + | 0.0251737i | ||||
\(907\) | 19.6998 | + | 11.3737i | 0.654121 | + | 0.377657i | 0.790033 | − | 0.613064i | \(-0.210063\pi\) |
−0.135912 | + | 0.990721i | \(0.543397\pi\) | |||||||
\(908\) | −24.0971 | − | 6.45679i | −0.799689 | − | 0.214276i | ||||
\(909\) | 0.546039 | 0.0181110 | ||||||||
\(910\) | −5.84914 | + | 15.0272i | −0.193897 | + | 0.498148i | ||||
\(911\) | 32.2846 | 1.06964 | 0.534818 | − | 0.844967i | \(-0.320380\pi\) | ||||
0.534818 | + | 0.844967i | \(0.320380\pi\) | |||||||
\(912\) | −7.40305 | − | 1.98364i | −0.245139 | − | 0.0656849i | ||||
\(913\) | 47.9286 | + | 27.6716i | 1.58620 | + | 0.915796i | ||||
\(914\) | −7.69218 | − | 4.44108i | −0.254435 | − | 0.146898i | ||||
\(915\) | 9.63138 | − | 35.9448i | 0.318404 | − | 1.18830i | ||||
\(916\) | 21.2161 | + | 21.2161i | 0.701000 | + | 0.701000i | ||||
\(917\) | −12.9297 | − | 3.25983i | −0.426976 | − | 0.107649i | ||||
\(918\) | −1.79961 | − | 1.79961i | −0.0593959 | − | 0.0593959i | ||||
\(919\) | −17.5929 | − | 30.4718i | −0.580337 | − | 1.00517i | −0.995439 | − | 0.0953985i | \(-0.969587\pi\) |
0.415102 | − | 0.909775i | \(-0.363746\pi\) | |||||||
\(920\) | 10.7083 | − | 18.5473i | 0.353042 | − | 0.611487i | ||||
\(921\) | −26.6867 | + | 7.15067i | −0.879356 | + | 0.235623i | ||||
\(922\) | 2.22192 | + | 3.84848i | 0.0731750 | + | 0.126743i | ||||
\(923\) | 3.80373 | + | 27.4728i | 0.125201 | + | 0.904279i | ||||
\(924\) | 0.279253 | + | 18.8335i | 0.00918676 | + | 0.619577i | ||||
\(925\) | 0.381046 | − | 0.381046i | 0.0125287 | − | 0.0125287i | ||||
\(926\) | 9.84577 | + | 17.0534i | 0.323552 | + | 0.560409i | ||||
\(927\) | −1.32112 | + | 2.28824i | −0.0433912 | + | 0.0751557i | ||||
\(928\) | 0.557095 | + | 2.07911i | 0.0182875 | + | 0.0682500i | ||||
\(929\) | −3.77515 | + | 14.0891i | −0.123859 | + | 0.462247i | −0.999796 | − | 0.0201774i | \(-0.993577\pi\) |
0.875938 | + | 0.482424i | \(0.160244\pi\) | |||||||
\(930\) | 12.5530 | − | 12.5530i | 0.411630 | − | 0.411630i | ||||
\(931\) | −29.8420 | − | 7.05492i | −0.978033 | − | 0.231216i | ||||
\(932\) | 33.5780 | 1.09989 | ||||||||
\(933\) | −9.08801 | + | 5.24697i | −0.297528 | + | 0.171778i | ||||
\(934\) | 3.17829 | + | 11.8615i | 0.103997 | + | 0.388121i | ||||
\(935\) | 41.2889 | + | 23.8382i | 1.35029 | + | 0.779592i | ||||
\(936\) | −5.05070 | − | 6.49195i | −0.165087 | − | 0.212196i | ||||
\(937\) | 3.02803i | 0.0989214i | 0.998776 | + | 0.0494607i | \(0.0157503\pi\) | ||||
−0.998776 | + | 0.0494607i | \(0.984250\pi\) | |||||||
\(938\) | 15.2914 | − | 15.7517i | 0.499281 | − | 0.514310i | ||||
\(939\) | −7.14903 | −0.233300 | ||||||||
\(940\) | −16.0736 | + | 9.28009i | −0.524262 | + | 0.302683i | ||||
\(941\) | 55.1297 | − | 14.7719i | 1.79718 | − | 0.481552i | 0.803644 | − | 0.595110i | \(-0.202892\pi\) |
0.993531 | + | 0.113559i | \(0.0362250\pi\) | |||||||
\(942\) | 0.976741 | + | 3.64525i | 0.0318239 | + | 0.118769i | ||||
\(943\) | 37.4507 | + | 10.0349i | 1.21956 | + | 0.326780i | ||||
\(944\) | −4.41691 | + | 4.41691i | −0.143758 | + | 0.143758i | ||||
\(945\) | −3.61707 | − | 6.05579i | −0.117663 | − | 0.196995i | ||||
\(946\) | − | 10.2023i | − | 0.331706i | ||||||
\(947\) | 9.96185 | − | 37.1781i | 0.323717 | − | 1.20813i | −0.591879 | − | 0.806027i | \(-0.701614\pi\) |
0.915596 | − | 0.402100i | \(-0.131720\pi\) | |||||||
\(948\) | 2.37096 | − | 4.10662i | 0.0770051 | − | 0.133377i | ||||
\(949\) | −26.9764 | − | 10.9635i | −0.875691 | − | 0.355889i | ||||
\(950\) | 5.07053 | − | 2.92747i | 0.164510 | − | 0.0949798i | ||||
\(951\) | −22.7005 | − | 22.7005i | −0.736113 | − | 0.736113i | ||||
\(952\) | −21.1586 | − | 11.8012i | −0.685754 | − | 0.382478i | ||||
\(953\) | − | 0.863851i | − | 0.0279829i | −0.999902 | − | 0.0139914i | \(-0.995546\pi\) | ||
0.999902 | − | 0.0139914i | \(-0.00445376\pi\) | |||||||
\(954\) | −6.79255 | − | 1.82006i | −0.219917 | − | 0.0589266i | ||||
\(955\) | −14.1026 | + | 3.77878i | −0.456349 | + | 0.122278i | ||||
\(956\) | −5.95623 | + | 1.59597i | −0.192638 | + | 0.0516173i | ||||
\(957\) | 1.63308 | + | 0.437583i | 0.0527901 | + | 0.0141451i | ||||
\(958\) | 0.174042i | 0.00562304i | ||||||||
\(959\) | 51.7903 | + | 28.8859i | 1.67240 | + | 0.932776i | ||||
\(960\) | 0.183021 | + | 0.183021i | 0.00590698 | + | 0.00590698i | ||||
\(961\) | 68.6691 | − | 39.6461i | 2.21513 | − | 1.27891i | ||||
\(962\) | 0.227245 | + | 0.538417i | 0.00732668 | + | 0.0173593i | ||||
\(963\) | 2.75251 | − | 4.76749i | 0.0886985 | − | 0.153630i | ||||
\(964\) | 2.08137 | − | 7.76777i | 0.0670364 | − | 0.250183i | ||||
\(965\) | − | 46.3831i | − | 1.49312i | ||||||
\(966\) | 3.02902 | + | 5.07126i | 0.0974570 | + | 0.163165i | ||||
\(967\) | 12.9900 | − | 12.9900i | 0.417731 | − | 0.417731i | −0.466690 | − | 0.884421i | \(-0.654554\pi\) |
0.884421 | + | 0.466690i | \(0.154554\pi\) | |||||||
\(968\) | −19.4965 | − | 5.22406i | −0.626640 | − | 0.167908i | ||||
\(969\) | −4.55103 | − | 16.9847i | −0.146200 | − | 0.545627i | ||||
\(970\) | −17.0661 | + | 4.57286i | −0.547961 | + | 0.146826i | ||||
\(971\) | −44.9692 | + | 25.9630i | −1.44313 | + | 0.833191i | −0.998057 | − | 0.0623033i | \(-0.980155\pi\) |
−0.445072 | + | 0.895495i | \(0.646822\pi\) | |||||||
\(972\) | 1.59799 | 0.0512556 | ||||||||
\(973\) | −4.97755 | + | 5.12738i | −0.159573 | + | 0.164376i | ||||
\(974\) | − | 1.93091i | − | 0.0618704i | ||||||
\(975\) | −7.54184 | − | 0.941696i | −0.241532 | − | 0.0301584i | ||||
\(976\) | 21.1484 | + | 12.2100i | 0.676944 | + | 0.390834i | ||||
\(977\) | −6.91585 | − | 25.8103i | −0.221258 | − | 0.825745i | −0.983869 | − | 0.178889i | \(-0.942750\pi\) |
0.762612 | − | 0.646857i | \(-0.223917\pi\) | |||||||
\(978\) | −2.46591 | + | 1.42369i | −0.0788510 | + | 0.0455247i | ||||
\(979\) | −2.86508 | −0.0915684 | ||||||||
\(980\) | −21.7037 | − | 20.4533i | −0.693299 | − | 0.653355i | ||||
\(981\) | −8.94229 | + | 8.94229i | −0.285505 | + | 0.285505i | ||||
\(982\) | −6.85173 | + | 25.5710i | −0.218648 | + | 0.816004i | ||||
\(983\) | 6.10538 | + | 22.7856i | 0.194731 | + | 0.726747i | 0.992336 | + | 0.123567i | \(0.0394334\pi\) |
−0.797605 | + | 0.603180i | \(0.793900\pi\) | |||||||
\(984\) | −12.5593 | + | 21.7533i | −0.400375 | + | 0.693470i | ||||
\(985\) | 0.994097 | + | 1.72183i | 0.0316746 | + | 0.0548620i | ||||
\(986\) | −0.682946 | + | 0.682946i | −0.0217494 | + | 0.0217494i | ||||
\(987\) | −0.170885 | − | 11.5249i | −0.00543932 | − | 0.366841i | ||||
\(988\) | −3.46153 | − | 25.0013i | −0.110126 | − | 0.795396i | ||||
\(989\) | 6.35908 | + | 11.0142i | 0.202207 | + | 0.350233i | ||||
\(990\) | 7.27429 | − | 1.94914i | 0.231192 | − | 0.0619478i | ||||
\(991\) | −25.9147 | + | 44.8856i | −0.823208 | + | 1.42584i | 0.0800739 | + | 0.996789i | \(0.474484\pi\) |
−0.903281 | + | 0.429048i | \(0.858849\pi\) | |||||||
\(992\) | 29.7829 | + | 51.5855i | 0.945608 | + | 1.63784i | ||||
\(993\) | 6.88754 | + | 6.88754i | 0.218570 | + | 0.218570i | ||||
\(994\) | 12.5124 | + | 3.15462i | 0.396869 | + | 0.100059i | ||||
\(995\) | 20.3861 | + | 20.3861i | 0.646282 | + | 0.646282i | ||||
\(996\) | 5.13782 | − | 19.1746i | 0.162798 | − | 0.607570i | ||||
\(997\) | 9.83406 | + | 5.67770i | 0.311448 | + | 0.179814i | 0.647574 | − | 0.762002i | \(-0.275784\pi\) |
−0.336126 | + | 0.941817i | \(0.609117\pi\) | |||||||
\(998\) | 0.681798 | + | 0.393636i | 0.0215819 | + | 0.0124603i | ||||
\(999\) | −0.246928 | − | 0.0661642i | −0.00781246 | − | 0.00209334i |
(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 | 273.2.bz.b.31.6 | yes | 36 | |
3.2 | odd | 2 | 819.2.fn.g.577.4 | 36 | |||
7.5 | odd | 6 | 273.2.bz.a.187.4 | yes | 36 | ||
13.8 | odd | 4 | 273.2.bz.a.73.4 | ✓ | 36 | ||
21.5 | even | 6 | 819.2.fn.f.460.6 | 36 | |||
39.8 | even | 4 | 819.2.fn.f.73.6 | 36 | |||
91.47 | even | 12 | inner | 273.2.bz.b.229.6 | yes | 36 | |
273.47 | odd | 12 | 819.2.fn.g.775.4 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bz.a.73.4 | ✓ | 36 | 13.8 | odd | 4 | ||
273.2.bz.a.187.4 | yes | 36 | 7.5 | odd | 6 | ||
273.2.bz.b.31.6 | yes | 36 | 1.1 | even | 1 | trivial | |
273.2.bz.b.229.6 | yes | 36 | 91.47 | even | 12 | inner | |
819.2.fn.f.73.6 | 36 | 39.8 | even | 4 | |||
819.2.fn.f.460.6 | 36 | 21.5 | even | 6 | |||
819.2.fn.g.577.4 | 36 | 3.2 | odd | 2 | |||
819.2.fn.g.775.4 | 36 | 273.47 | odd | 12 |