Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,3,Mod(29,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.29");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.i (of order \(10\), 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: | \(4.08720396540\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 29.20 | ||
Character | \(\chi\) | \(=\) | 150.29 |
Dual form | 150.3.i.a.119.20 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.437016 | − | 1.34500i | 0.218508 | − | 0.672499i | ||||
\(3\) | 2.86387 | − | 0.893441i | 0.954624 | − | 0.297814i | ||||
\(4\) | −1.61803 | − | 1.17557i | −0.404508 | − | 0.293893i | ||||
\(5\) | 4.11716 | − | 2.83707i | 0.823432 | − | 0.567415i | ||||
\(6\) | 0.0498831 | − | 4.24235i | 0.00831385 | − | 0.707058i | ||||
\(7\) | 2.70868i | 0.386955i | 0.981105 | + | 0.193477i | \(0.0619766\pi\) | ||||
−0.981105 | + | 0.193477i | \(0.938023\pi\) | |||||||
\(8\) | −2.28825 | + | 1.66251i | −0.286031 | + | 0.207813i | ||||
\(9\) | 7.40353 | − | 5.11740i | 0.822614 | − | 0.568600i | ||||
\(10\) | −2.01659 | − | 6.77742i | −0.201659 | − | 0.677742i | ||||
\(11\) | 1.51542 | + | 0.492390i | 0.137765 | + | 0.0447627i | 0.377088 | − | 0.926177i | \(-0.376925\pi\) |
−0.239323 | + | 0.970940i | \(0.576925\pi\) | |||||||
\(12\) | −5.68414 | − | 1.92107i | −0.473679 | − | 0.160089i | ||||
\(13\) | −15.0748 | + | 4.89810i | −1.15960 | + | 0.376777i | −0.824751 | − | 0.565495i | \(-0.808685\pi\) |
−0.334848 | + | 0.942272i | \(0.608685\pi\) | |||||||
\(14\) | 3.64317 | + | 1.18374i | 0.260227 | + | 0.0845527i | ||||
\(15\) | 9.25627 | − | 11.8035i | 0.617085 | − | 0.786897i | ||||
\(16\) | 1.23607 | + | 3.80423i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 18.8231 | − | 13.6758i | 1.10724 | − | 0.804460i | 0.125016 | − | 0.992155i | \(-0.460102\pi\) |
0.982227 | + | 0.187695i | \(0.0601017\pi\) | |||||||
\(18\) | −3.64743 | − | 12.1941i | −0.202635 | − | 0.677450i | ||||
\(19\) | −19.4318 | + | 14.1180i | −1.02273 | + | 0.743054i | −0.966840 | − | 0.255383i | \(-0.917799\pi\) |
−0.0558866 | + | 0.998437i | \(0.517799\pi\) | |||||||
\(20\) | −9.99689 | − | 0.249534i | −0.499844 | − | 0.0124767i | ||||
\(21\) | 2.42005 | + | 7.75732i | 0.115240 | + | 0.369396i | ||||
\(22\) | 1.32453 | − | 1.82305i | 0.0602057 | − | 0.0828660i | ||||
\(23\) | −3.76161 | + | 11.5770i | −0.163548 | + | 0.503350i | −0.998926 | − | 0.0463259i | \(-0.985249\pi\) |
0.835378 | + | 0.549676i | \(0.185249\pi\) | |||||||
\(24\) | −5.06789 | + | 6.80562i | −0.211162 | + | 0.283568i | ||||
\(25\) | 8.90204 | − | 23.3614i | 0.356082 | − | 0.934455i | ||||
\(26\) | 22.4161i | 0.862158i | ||||||||
\(27\) | 16.6307 | − | 21.2702i | 0.615951 | − | 0.787785i | ||||
\(28\) | 3.18425 | − | 4.38274i | 0.113723 | − | 0.156527i | ||||
\(29\) | −21.0025 | + | 28.9075i | −0.724225 | + | 0.996810i | 0.275148 | + | 0.961402i | \(0.411273\pi\) |
−0.999373 | + | 0.0354080i | \(0.988727\pi\) | |||||||
\(30\) | −11.8305 | − | 17.6080i | −0.394349 | − | 0.586932i | ||||
\(31\) | 17.8786 | − | 12.9896i | 0.576730 | − | 0.419019i | −0.260814 | − | 0.965389i | \(-0.583991\pi\) |
0.837544 | + | 0.546370i | \(0.183991\pi\) | |||||||
\(32\) | 5.65685 | 0.176777 | ||||||||
\(33\) | 4.77989 | + | 0.0562037i | 0.144845 | + | 0.00170314i | ||||
\(34\) | −10.1679 | − | 31.2936i | −0.299056 | − | 0.920401i | ||||
\(35\) | 7.68473 | + | 11.1521i | 0.219564 | + | 0.318631i | ||||
\(36\) | −17.9950 | − | 0.423243i | −0.499862 | − | 0.0117567i | ||||
\(37\) | −13.8928 | + | 4.51404i | −0.375481 | + | 0.122001i | −0.490677 | − | 0.871342i | \(-0.663250\pi\) |
0.115196 | + | 0.993343i | \(0.463250\pi\) | |||||||
\(38\) | 10.4967 | + | 32.3055i | 0.276229 | + | 0.850145i | ||||
\(39\) | −38.7961 | + | 27.4960i | −0.994772 | + | 0.705024i | ||||
\(40\) | −4.70442 | + | 13.3367i | −0.117611 | + | 0.333418i | ||||
\(41\) | −21.4020 | + | 6.95393i | −0.522000 | + | 0.169608i | −0.558153 | − | 0.829738i | \(-0.688490\pi\) |
0.0361530 | + | 0.999346i | \(0.488490\pi\) | |||||||
\(42\) | 11.4912 | + | 0.135118i | 0.273599 | + | 0.00321708i | ||||
\(43\) | 50.7907i | 1.18118i | 0.806972 | + | 0.590590i | \(0.201105\pi\) | ||||
−0.806972 | + | 0.590590i | \(0.798895\pi\) | |||||||
\(44\) | −1.87316 | − | 2.57819i | −0.0425718 | − | 0.0585951i | ||||
\(45\) | 15.9631 | − | 42.0735i | 0.354735 | − | 0.934967i | ||||
\(46\) | 13.9272 | + | 10.1187i | 0.302765 | + | 0.219972i | ||||
\(47\) | 37.9194 | + | 27.5500i | 0.806795 | + | 0.586171i | 0.912900 | − | 0.408184i | \(-0.133838\pi\) |
−0.106105 | + | 0.994355i | \(0.533838\pi\) | |||||||
\(48\) | 6.93879 | + | 9.79046i | 0.144558 | + | 0.203968i | ||||
\(49\) | 41.6630 | 0.850266 | ||||||||
\(50\) | −27.5306 | − | 22.1825i | −0.550613 | − | 0.443650i | ||||
\(51\) | 41.6885 | − | 55.9831i | 0.817422 | − | 1.09771i | ||||
\(52\) | 30.1496 | + | 9.79619i | 0.579800 | + | 0.188388i | ||||
\(53\) | 40.8309 | + | 29.6654i | 0.770395 | + | 0.559725i | 0.902081 | − | 0.431567i | \(-0.142039\pi\) |
−0.131686 | + | 0.991291i | \(0.542039\pi\) | |||||||
\(54\) | −21.3405 | − | 31.6636i | −0.395194 | − | 0.586363i | ||||
\(55\) | 7.63617 | − | 2.27211i | 0.138839 | − | 0.0413110i | ||||
\(56\) | −4.50321 | − | 6.19813i | −0.0804144 | − | 0.110681i | ||||
\(57\) | −43.0366 | + | 57.7934i | −0.755028 | + | 1.01392i | ||||
\(58\) | 29.7020 | + | 40.8814i | 0.512104 | + | 0.704851i | ||||
\(59\) | −48.7840 | + | 15.8509i | −0.826847 | + | 0.268659i | −0.691717 | − | 0.722169i | \(-0.743145\pi\) |
−0.135130 | + | 0.990828i | \(0.543145\pi\) | |||||||
\(60\) | −28.8527 | + | 8.21699i | −0.480879 | + | 0.136950i | ||||
\(61\) | −12.9533 | + | 39.8662i | −0.212349 | + | 0.653544i | 0.786982 | + | 0.616976i | \(0.211642\pi\) |
−0.999331 | + | 0.0365677i | \(0.988358\pi\) | |||||||
\(62\) | −9.65770 | − | 29.7234i | −0.155769 | − | 0.479409i | ||||
\(63\) | 13.8614 | + | 20.0538i | 0.220022 | + | 0.318315i | ||||
\(64\) | 2.47214 | − | 7.60845i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −48.1691 | + | 62.9345i | −0.741063 | + | 0.968224i | ||||
\(66\) | 2.16448 | − | 6.40437i | 0.0327952 | − | 0.0970360i | ||||
\(67\) | 29.7675 | + | 40.9714i | 0.444290 | + | 0.611513i | 0.971159 | − | 0.238434i | \(-0.0766339\pi\) |
−0.526868 | + | 0.849947i | \(0.676634\pi\) | |||||||
\(68\) | −46.5334 | −0.684314 | ||||||||
\(69\) | −0.429368 | + | 36.5160i | −0.00622273 | + | 0.529217i | ||||
\(70\) | 18.3579 | − | 5.46230i | 0.262255 | − | 0.0780329i | ||||
\(71\) | 21.0491 | − | 28.9716i | 0.296466 | − | 0.408050i | −0.634635 | − | 0.772812i | \(-0.718850\pi\) |
0.931101 | + | 0.364762i | \(0.118850\pi\) | |||||||
\(72\) | −8.43337 | + | 24.0183i | −0.117130 | + | 0.333587i | ||||
\(73\) | −110.786 | − | 35.9965i | −1.51761 | − | 0.493103i | −0.572517 | − | 0.819893i | \(-0.694033\pi\) |
−0.945097 | + | 0.326790i | \(0.894033\pi\) | |||||||
\(74\) | 20.6585i | 0.279168i | ||||||||
\(75\) | 4.62230 | − | 74.8574i | 0.0616307 | − | 0.998099i | ||||
\(76\) | 48.0381 | 0.632080 | ||||||||
\(77\) | −1.33373 | + | 4.10479i | −0.0173211 | + | 0.0533090i | ||||
\(78\) | 20.0275 | + | 64.1968i | 0.256762 | + | 0.823036i | ||||
\(79\) | −96.1429 | − | 69.8519i | −1.21700 | − | 0.884201i | −0.221151 | − | 0.975240i | \(-0.570981\pi\) |
−0.995847 | + | 0.0910382i | \(0.970981\pi\) | |||||||
\(80\) | 15.8820 | + | 12.1558i | 0.198524 | + | 0.151947i | ||||
\(81\) | 28.6244 | − | 75.7736i | 0.353388 | − | 0.935477i | ||||
\(82\) | 31.8246i | 0.388105i | ||||||||
\(83\) | 102.618 | − | 74.5562i | 1.23636 | − | 0.898267i | 0.239008 | − | 0.971017i | \(-0.423178\pi\) |
0.997350 | + | 0.0727503i | \(0.0231776\pi\) | |||||||
\(84\) | 5.20356 | − | 15.3966i | 0.0619472 | − | 0.183292i | ||||
\(85\) | 38.6986 | − | 109.708i | 0.455278 | − | 1.29068i | ||||
\(86\) | 68.3134 | + | 22.1964i | 0.794342 | + | 0.258097i | ||||
\(87\) | −34.3214 | + | 101.552i | −0.394499 | + | 1.16726i | ||||
\(88\) | −4.28625 | + | 1.39269i | −0.0487074 | + | 0.0158260i | ||||
\(89\) | −101.736 | − | 33.0560i | −1.14310 | − | 0.371416i | −0.324560 | − | 0.945865i | \(-0.605216\pi\) |
−0.818540 | + | 0.574449i | \(0.805216\pi\) | |||||||
\(90\) | −49.6126 | − | 39.8571i | −0.551251 | − | 0.442857i | ||||
\(91\) | −13.2674 | − | 40.8328i | −0.145796 | − | 0.448713i | ||||
\(92\) | 19.6961 | − | 14.3100i | 0.214088 | − | 0.155544i | ||||
\(93\) | 39.5967 | − | 53.1740i | 0.425771 | − | 0.571763i | ||||
\(94\) | 53.6261 | − | 38.9616i | 0.570490 | − | 0.414485i | ||||
\(95\) | −39.9500 | + | 113.256i | −0.420526 | + | 1.19216i | ||||
\(96\) | 16.2005 | − | 5.05406i | 0.168755 | − | 0.0526465i | ||||
\(97\) | 78.5564 | − | 108.124i | 0.809860 | − | 1.11468i | −0.181485 | − | 0.983394i | \(-0.558091\pi\) |
0.991345 | − | 0.131282i | \(-0.0419095\pi\) | |||||||
\(98\) | 18.2074 | − | 56.0367i | 0.185790 | − | 0.571803i | ||||
\(99\) | 13.7392 | − | 4.10959i | 0.138780 | − | 0.0415110i | ||||
\(100\) | −41.8667 | + | 27.3345i | −0.418667 | + | 0.273345i | ||||
\(101\) | − | 151.999i | − | 1.50494i | −0.658629 | − | 0.752468i | \(-0.728863\pi\) | ||
0.658629 | − | 0.752468i | \(-0.271137\pi\) | |||||||
\(102\) | −57.0786 | − | 80.5365i | −0.559594 | − | 0.789573i | ||||
\(103\) | −95.1578 | + | 130.973i | −0.923862 | + | 1.27159i | 0.0383445 | + | 0.999265i | \(0.487792\pi\) |
−0.962206 | + | 0.272322i | \(0.912208\pi\) | |||||||
\(104\) | 26.3517 | − | 36.2700i | 0.253382 | − | 0.348750i | ||||
\(105\) | 31.9718 | + | 25.0723i | 0.304494 | + | 0.238784i | ||||
\(106\) | 57.7436 | − | 41.9532i | 0.544751 | − | 0.395785i | ||||
\(107\) | 59.9911 | 0.560664 | 0.280332 | − | 0.959903i | \(-0.409555\pi\) | ||||
0.280332 | + | 0.959903i | \(0.409555\pi\) | |||||||
\(108\) | −51.9136 | + | 14.8654i | −0.480681 | + | 0.137642i | ||||
\(109\) | −58.3698 | − | 179.644i | −0.535503 | − | 1.64811i | −0.742560 | − | 0.669779i | \(-0.766389\pi\) |
0.207057 | − | 0.978329i | \(-0.433611\pi\) | |||||||
\(110\) | 0.281152 | − | 11.2636i | 0.00255593 | − | 0.102396i | ||||
\(111\) | −35.7541 | + | 25.3400i | −0.322109 | + | 0.228288i | ||||
\(112\) | −10.3044 | + | 3.34812i | −0.0920040 | + | 0.0298939i | ||||
\(113\) | −29.8088 | − | 91.7419i | −0.263794 | − | 0.811875i | −0.991969 | − | 0.126484i | \(-0.959631\pi\) |
0.728174 | − | 0.685392i | \(-0.240369\pi\) | |||||||
\(114\) | 58.9243 | + | 83.1407i | 0.516880 | + | 0.729305i | ||||
\(115\) | 17.3578 | + | 58.3365i | 0.150937 | + | 0.507274i | ||||
\(116\) | 67.9656 | − | 22.0834i | 0.585910 | − | 0.190374i | ||||
\(117\) | −86.5411 | + | 113.407i | −0.739668 | + | 0.969290i | ||||
\(118\) | 72.5414i | 0.614758i | ||||||||
\(119\) | 37.0435 | + | 50.9859i | 0.311290 | + | 0.428453i | ||||
\(120\) | −1.55728 | + | 42.3978i | −0.0129774 | + | 0.353315i | ||||
\(121\) | −95.8370 | − | 69.6297i | −0.792041 | − | 0.575452i | ||||
\(122\) | 47.9591 | + | 34.8443i | 0.393107 | + | 0.285609i | ||||
\(123\) | −55.0796 | + | 39.0366i | −0.447802 | + | 0.317370i | ||||
\(124\) | −44.1984 | −0.356439 | ||||||||
\(125\) | −29.6268 | − | 121.438i | −0.237014 | − | 0.971506i | ||||
\(126\) | 33.0300 | − | 9.87973i | 0.262143 | − | 0.0784105i | ||||
\(127\) | 182.392 | + | 59.2626i | 1.43615 | + | 0.466635i | 0.920696 | − | 0.390280i | \(-0.127622\pi\) |
0.515458 | + | 0.856915i | \(0.327622\pi\) | |||||||
\(128\) | −9.15298 | − | 6.65003i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | 45.3785 | + | 145.458i | 0.351771 | + | 1.12758i | ||||
\(130\) | 63.5961 | + | 92.2907i | 0.489201 | + | 0.709928i | ||||
\(131\) | 3.28137 | + | 4.51642i | 0.0250486 | + | 0.0344765i | 0.821358 | − | 0.570414i | \(-0.193217\pi\) |
−0.796309 | + | 0.604890i | \(0.793217\pi\) | |||||||
\(132\) | −7.66795 | − | 5.71003i | −0.0580905 | − | 0.0432578i | ||||
\(133\) | −38.2413 | − | 52.6346i | −0.287528 | − | 0.395749i | ||||
\(134\) | 68.1153 | − | 22.1320i | 0.508323 | − | 0.165164i | ||||
\(135\) | 8.12606 | − | 134.755i | 0.0601930 | − | 0.998187i | ||||
\(136\) | −20.3358 | + | 62.5872i | −0.149528 | + | 0.460200i | ||||
\(137\) | −35.5756 | − | 109.490i | −0.259676 | − | 0.799199i | −0.992872 | − | 0.119183i | \(-0.961973\pi\) |
0.733197 | − | 0.680017i | \(-0.238027\pi\) | |||||||
\(138\) | 48.9262 | + | 16.5356i | 0.354538 | + | 0.119823i | ||||
\(139\) | −47.6998 | + | 146.805i | −0.343164 | + | 1.05615i | 0.619395 | + | 0.785079i | \(0.287378\pi\) |
−0.962559 | + | 0.271071i | \(0.912622\pi\) | |||||||
\(140\) | 0.675908 | − | 27.0784i | 0.00482792 | − | 0.193417i | ||||
\(141\) | 133.211 | + | 45.0211i | 0.944755 | + | 0.319298i | ||||
\(142\) | −29.7679 | − | 40.9720i | −0.209633 | − | 0.288535i | ||||
\(143\) | −25.2564 | −0.176618 | ||||||||
\(144\) | 28.6190 | + | 21.8392i | 0.198743 | + | 0.151661i | ||||
\(145\) | −4.45812 | + | 178.602i | −0.0307457 | + | 1.23174i | ||||
\(146\) | −96.8304 | + | 133.276i | −0.663222 | + | 0.912847i | ||||
\(147\) | 119.318 | − | 37.2234i | 0.811684 | − | 0.253221i | ||||
\(148\) | 27.7856 | + | 9.02808i | 0.187740 | + | 0.0610005i | ||||
\(149\) | 58.3792i | 0.391807i | 0.980623 | + | 0.195903i | \(0.0627639\pi\) | ||||
−0.980623 | + | 0.195903i | \(0.937236\pi\) | |||||||
\(150\) | −98.6630 | − | 38.9309i | −0.657753 | − | 0.259539i | ||||
\(151\) | −189.288 | −1.25356 | −0.626782 | − | 0.779194i | \(-0.715628\pi\) | ||||
−0.626782 | + | 0.779194i | \(0.715628\pi\) | |||||||
\(152\) | 20.9934 | − | 64.6111i | 0.138115 | − | 0.425073i | ||||
\(153\) | 69.3731 | − | 197.575i | 0.453419 | − | 1.29134i | ||||
\(154\) | 4.93807 | + | 3.58772i | 0.0320654 | + | 0.0232969i | ||||
\(155\) | 36.7568 | − | 104.203i | 0.237141 | − | 0.672279i | ||||
\(156\) | 95.0969 | + | 1.11818i | 0.609595 | + | 0.00716785i | ||||
\(157\) | 76.5160i | 0.487363i | 0.969855 | + | 0.243682i | \(0.0783552\pi\) | ||||
−0.969855 | + | 0.243682i | \(0.921645\pi\) | |||||||
\(158\) | −135.967 | + | 98.7855i | −0.860548 | + | 0.625225i | ||||
\(159\) | 143.439 | + | 48.4779i | 0.902131 | + | 0.304893i | ||||
\(160\) | 23.2902 | − | 16.0489i | 0.145564 | − | 0.100306i | ||||
\(161\) | −31.3586 | − | 10.1890i | −0.194774 | − | 0.0632858i | ||||
\(162\) | −89.4059 | − | 71.6141i | −0.551889 | − | 0.442062i | ||||
\(163\) | 117.667 | − | 38.2322i | 0.721882 | − | 0.234554i | 0.0750430 | − | 0.997180i | \(-0.476091\pi\) |
0.646839 | + | 0.762627i | \(0.276091\pi\) | |||||||
\(164\) | 42.8040 | + | 13.9079i | 0.261000 | + | 0.0848040i | ||||
\(165\) | 19.8390 | − | 13.3295i | 0.120237 | − | 0.0807848i | ||||
\(166\) | −55.4322 | − | 170.603i | −0.333929 | − | 1.02773i | ||||
\(167\) | −142.341 | + | 103.417i | −0.852340 | + | 0.619261i | −0.925790 | − | 0.378038i | \(-0.876599\pi\) |
0.0734503 | + | 0.997299i | \(0.476599\pi\) | |||||||
\(168\) | −18.4343 | − | 13.7273i | −0.109728 | − | 0.0817102i | ||||
\(169\) | 66.5341 | − | 48.3399i | 0.393693 | − | 0.286035i | ||||
\(170\) | −130.645 | − | 99.9938i | −0.768501 | − | 0.588199i | ||||
\(171\) | −71.6163 | + | 203.964i | −0.418809 | + | 1.19277i | ||||
\(172\) | 59.7081 | − | 82.1811i | 0.347140 | − | 0.477797i | ||||
\(173\) | −2.25010 | + | 6.92508i | −0.0130063 | + | 0.0400294i | −0.957349 | − | 0.288934i | \(-0.906699\pi\) |
0.944343 | + | 0.328963i | \(0.106699\pi\) | |||||||
\(174\) | 121.588 | + | 90.5420i | 0.698781 | + | 0.520356i | ||||
\(175\) | 63.2786 | + | 24.1128i | 0.361592 | + | 0.137787i | ||||
\(176\) | 6.37362i | 0.0362138i | ||||||||
\(177\) | −125.549 | + | 88.9805i | −0.709318 | + | 0.502715i | ||||
\(178\) | −88.9205 | + | 122.389i | −0.499553 | + | 0.687576i | ||||
\(179\) | 69.5699 | − | 95.7547i | 0.388659 | − | 0.534943i | −0.569194 | − | 0.822203i | \(-0.692745\pi\) |
0.957852 | + | 0.287261i | \(0.0927446\pi\) | |||||||
\(180\) | −75.2892 | + | 49.3106i | −0.418273 | + | 0.273948i | ||||
\(181\) | −104.425 | + | 75.8689i | −0.576932 | + | 0.419165i | −0.837617 | − | 0.546258i | \(-0.816052\pi\) |
0.260685 | + | 0.965424i | \(0.416052\pi\) | |||||||
\(182\) | −60.7181 | −0.333616 | ||||||||
\(183\) | −1.47855 | + | 125.745i | −0.00807952 | + | 0.687129i | ||||
\(184\) | −10.6394 | − | 32.7448i | −0.0578231 | − | 0.177961i | ||||
\(185\) | −44.3922 | + | 57.9998i | −0.239958 | + | 0.313513i | ||||
\(186\) | −54.2145 | − | 76.4953i | −0.291476 | − | 0.411265i | ||||
\(187\) | 35.2588 | − | 11.4563i | 0.188550 | − | 0.0612635i | ||||
\(188\) | −28.9678 | − | 89.1538i | −0.154084 | − | 0.474222i | ||||
\(189\) | 57.6142 | + | 45.0472i | 0.304837 | + | 0.238345i | ||||
\(190\) | 134.870 | + | 103.227i | 0.709841 | + | 0.543301i | ||||
\(191\) | 39.9390 | − | 12.9770i | 0.209105 | − | 0.0679422i | −0.202592 | − | 0.979263i | \(-0.564936\pi\) |
0.411696 | + | 0.911321i | \(0.364936\pi\) | |||||||
\(192\) | 0.282181 | − | 23.9983i | 0.00146969 | − | 0.124991i | ||||
\(193\) | − | 124.881i | − | 0.647052i | −0.946219 | − | 0.323526i | \(-0.895132\pi\) | ||
0.946219 | − | 0.323526i | \(-0.104868\pi\) | |||||||
\(194\) | −111.095 | − | 152.910i | −0.572657 | − | 0.788195i | ||||
\(195\) | −81.7219 | + | 223.273i | −0.419087 | + | 1.14499i | ||||
\(196\) | −67.4122 | − | 48.9778i | −0.343940 | − | 0.249887i | ||||
\(197\) | 200.048 | + | 145.344i | 1.01547 | + | 0.737785i | 0.965350 | − | 0.260958i | \(-0.0840384\pi\) |
0.0501237 | + | 0.998743i | \(0.484038\pi\) | |||||||
\(198\) | 0.476871 | − | 20.2751i | 0.00240844 | − | 0.102400i | ||||
\(199\) | 132.790 | 0.667289 | 0.333644 | − | 0.942699i | \(-0.391722\pi\) | ||||
0.333644 | + | 0.942699i | \(0.391722\pi\) | |||||||
\(200\) | 18.4684 | + | 68.2563i | 0.0923421 | + | 0.341281i | ||||
\(201\) | 121.856 | + | 90.7414i | 0.606247 | + | 0.451450i | ||||
\(202\) | −204.438 | − | 66.4258i | −1.01207 | − | 0.328841i | ||||
\(203\) | −78.3012 | − | 56.8892i | −0.385720 | − | 0.280242i | ||||
\(204\) | −133.266 | + | 41.5748i | −0.653263 | + | 0.203798i | ||||
\(205\) | −68.3866 | + | 89.3494i | −0.333593 | + | 0.435851i | ||||
\(206\) | 134.573 | + | 185.224i | 0.653269 | + | 0.899147i | ||||
\(207\) | 31.3952 | + | 104.961i | 0.151668 | + | 0.507056i | ||||
\(208\) | −37.2669 | − | 51.2935i | −0.179168 | − | 0.246604i | ||||
\(209\) | −36.3989 | + | 11.8267i | −0.174157 | + | 0.0565872i | ||||
\(210\) | 47.6944 | − | 32.0450i | 0.227116 | − | 0.152595i | ||||
\(211\) | −96.6511 | + | 297.461i | −0.458062 | + | 1.40977i | 0.409440 | + | 0.912337i | \(0.365724\pi\) |
−0.867502 | + | 0.497433i | \(0.834276\pi\) | |||||||
\(212\) | −31.1920 | − | 95.9993i | −0.147132 | − | 0.452827i | ||||
\(213\) | 34.3975 | − | 101.777i | 0.161491 | − | 0.477826i | ||||
\(214\) | 26.2171 | − | 80.6878i | 0.122510 | − | 0.377046i | ||||
\(215\) | 144.097 | + | 209.114i | 0.670219 | + | 0.972622i | ||||
\(216\) | −2.69319 | + | 76.3200i | −0.0124685 | + | 0.353333i | ||||
\(217\) | 35.1847 | + | 48.4276i | 0.162141 | + | 0.223168i | ||||
\(218\) | −267.129 | −1.22536 | ||||||||
\(219\) | −349.437 | − | 4.10881i | −1.59560 | − | 0.0187617i | ||||
\(220\) | −15.0266 | − | 5.30051i | −0.0683028 | − | 0.0240932i | ||||
\(221\) | −216.769 | + | 298.358i | −0.980857 | + | 1.35003i | ||||
\(222\) | 18.4571 | + | 59.1632i | 0.0831401 | + | 0.266501i | ||||
\(223\) | 135.646 | + | 44.0739i | 0.608276 | + | 0.197641i | 0.596928 | − | 0.802295i | \(-0.296388\pi\) |
0.0113480 | + | 0.999936i | \(0.496388\pi\) | |||||||
\(224\) | 15.3226i | 0.0684046i | ||||||||
\(225\) | −53.6430 | − | 218.512i | −0.238413 | − | 0.971164i | ||||
\(226\) | −136.420 | −0.603626 | ||||||||
\(227\) | 79.3191 | − | 244.119i | 0.349423 | − | 1.07541i | −0.609750 | − | 0.792594i | \(-0.708730\pi\) |
0.959173 | − | 0.282820i | \(-0.0912700\pi\) | |||||||
\(228\) | 137.575 | − | 42.9192i | 0.603399 | − | 0.188242i | ||||
\(229\) | 187.232 | + | 136.032i | 0.817609 | + | 0.594028i | 0.916027 | − | 0.401117i | \(-0.131378\pi\) |
−0.0984175 | + | 0.995145i | \(0.531378\pi\) | |||||||
\(230\) | 86.0481 | + | 2.14786i | 0.374122 | + | 0.00933852i | ||||
\(231\) | −0.152238 | + | 12.9472i | −0.000659039 | + | 0.0560485i | ||||
\(232\) | − | 101.064i | − | 0.435622i | ||||||
\(233\) | 268.204 | − | 194.861i | 1.15109 | − | 0.836315i | 0.162463 | − | 0.986715i | \(-0.448056\pi\) |
0.988625 | + | 0.150400i | \(0.0480562\pi\) | |||||||
\(234\) | 114.712 | + | 165.958i | 0.490223 | + | 0.709223i | ||||
\(235\) | 234.282 | + | 5.84794i | 0.996943 | + | 0.0248848i | ||||
\(236\) | 97.5680 | + | 31.7018i | 0.413424 | + | 0.134329i | ||||
\(237\) | −337.750 | − | 114.149i | −1.42510 | − | 0.481641i | ||||
\(238\) | 84.7645 | − | 27.5417i | 0.356153 | − | 0.115721i | ||||
\(239\) | −154.833 | − | 50.3083i | −0.647837 | − | 0.210495i | −0.0333769 | − | 0.999443i | \(-0.510626\pi\) |
−0.614460 | + | 0.788948i | \(0.710626\pi\) | |||||||
\(240\) | 56.3444 | + | 20.6231i | 0.234768 | + | 0.0859295i | ||||
\(241\) | −79.0724 | − | 243.360i | −0.328101 | − | 1.00979i | −0.970021 | − | 0.243020i | \(-0.921862\pi\) |
0.641920 | − | 0.766772i | \(-0.278138\pi\) | |||||||
\(242\) | −135.534 | + | 98.4712i | −0.560058 | + | 0.406906i | ||||
\(243\) | 14.2775 | − | 242.580i | 0.0587553 | − | 0.998272i | ||||
\(244\) | 67.8244 | − | 49.2773i | 0.277969 | − | 0.201956i | ||||
\(245\) | 171.533 | − | 118.201i | 0.700136 | − | 0.482453i | ||||
\(246\) | 28.4334 | + | 91.1415i | 0.115583 | + | 0.370494i | ||||
\(247\) | 223.779 | − | 308.005i | 0.905988 | − | 1.24698i | ||||
\(248\) | −19.3154 | + | 59.4467i | −0.0778847 | + | 0.239705i | ||||
\(249\) | 227.273 | − | 305.202i | 0.912742 | − | 1.22571i | ||||
\(250\) | −176.281 | − | 13.2225i | −0.705126 | − | 0.0528902i | ||||
\(251\) | − | 370.225i | − | 1.47500i | −0.675346 | − | 0.737501i | \(-0.736006\pi\) | ||
0.675346 | − | 0.737501i | \(-0.263994\pi\) | |||||||
\(252\) | 1.14643 | − | 48.7428i | 0.00454933 | − | 0.193424i | ||||
\(253\) | −11.4008 | + | 15.6919i | −0.0450626 | + | 0.0620233i | ||||
\(254\) | 159.416 | − | 219.417i | 0.627622 | − | 0.863848i | ||||
\(255\) | 12.8102 | − | 348.765i | 0.0502363 | − | 1.36771i | ||||
\(256\) | −12.9443 | + | 9.40456i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −201.413 | −0.783707 | −0.391854 | − | 0.920028i | \(-0.628166\pi\) | ||||
−0.391854 | + | 0.920028i | \(0.628166\pi\) | |||||||
\(258\) | 215.472 | + | 2.53360i | 0.835163 | + | 0.00982015i | ||||
\(259\) | −12.2271 | − | 37.6312i | −0.0472089 | − | 0.145294i | ||||
\(260\) | 151.923 | − | 45.2040i | 0.584320 | − | 0.173862i | ||||
\(261\) | −7.56158 | + | 321.496i | −0.0289716 | + | 1.23178i | ||||
\(262\) | 7.50858 | − | 2.43968i | 0.0286587 | − | 0.00931177i | ||||
\(263\) | 31.2902 | + | 96.3012i | 0.118974 | + | 0.366164i | 0.992755 | − | 0.120155i | \(-0.0383392\pi\) |
−0.873781 | + | 0.486319i | \(0.838339\pi\) | |||||||
\(264\) | −11.0310 | + | 7.81799i | −0.0417841 | + | 0.0296136i | ||||
\(265\) | 252.270 | + | 6.29696i | 0.951964 | + | 0.0237621i | ||||
\(266\) | −87.5055 | + | 28.4322i | −0.328968 | + | 0.106888i | ||||
\(267\) | −320.892 | − | 3.77317i | −1.20184 | − | 0.0141317i | ||||
\(268\) | − | 101.287i | − | 0.377936i | ||||||
\(269\) | 176.811 | + | 243.360i | 0.657291 | + | 0.904684i | 0.999388 | − | 0.0349809i | \(-0.0111370\pi\) |
−0.342097 | + | 0.939665i | \(0.611137\pi\) | |||||||
\(270\) | −177.694 | − | 69.8197i | −0.658126 | − | 0.258592i | ||||
\(271\) | −105.894 | − | 76.9364i | −0.390752 | − | 0.283898i | 0.375012 | − | 0.927020i | \(-0.377639\pi\) |
−0.765764 | + | 0.643122i | \(0.777639\pi\) | |||||||
\(272\) | 75.2926 | + | 54.7032i | 0.276811 | + | 0.201115i | ||||
\(273\) | −74.4778 | − | 105.086i | −0.272813 | − | 0.384932i | ||||
\(274\) | −162.811 | −0.594201 | ||||||||
\(275\) | 24.9932 | − | 31.0190i | 0.0908844 | − | 0.112796i | ||||
\(276\) | 43.6218 | − | 58.5793i | 0.158050 | − | 0.212244i | ||||
\(277\) | −307.000 | − | 99.7505i | −1.10830 | − | 0.360110i | −0.303012 | − | 0.952987i | \(-0.597992\pi\) |
−0.805293 | + | 0.592877i | \(0.797992\pi\) | |||||||
\(278\) | 176.607 | + | 128.312i | 0.635275 | + | 0.461555i | ||||
\(279\) | 65.8920 | − | 187.661i | 0.236172 | − | 0.672619i | ||||
\(280\) | −36.1250 | − | 12.7428i | −0.129018 | − | 0.0455100i | ||||
\(281\) | 180.302 | + | 248.165i | 0.641646 | + | 0.883149i | 0.998702 | − | 0.0509334i | \(-0.0162196\pi\) |
−0.357056 | + | 0.934083i | \(0.616220\pi\) | |||||||
\(282\) | 118.768 | − | 159.493i | 0.421164 | − | 0.565577i | ||||
\(283\) | 148.721 | + | 204.697i | 0.525517 | + | 0.723313i | 0.986439 | − | 0.164128i | \(-0.0524811\pi\) |
−0.460922 | + | 0.887441i | \(0.652481\pi\) | |||||||
\(284\) | −68.1163 | + | 22.1323i | −0.239846 | + | 0.0779307i | ||||
\(285\) | −13.2245 | + | 360.043i | −0.0464017 | + | 1.26331i | ||||
\(286\) | −11.0375 | + | 33.9698i | −0.0385925 | + | 0.118775i | ||||
\(287\) | −18.8360 | − | 57.9712i | −0.0656306 | − | 0.201990i | ||||
\(288\) | 41.8807 | − | 28.9484i | 0.145419 | − | 0.100515i | ||||
\(289\) | 77.9769 | − | 239.988i | 0.269816 | − | 0.830409i | ||||
\(290\) | 238.271 | + | 84.0483i | 0.821626 | + | 0.289822i | ||||
\(291\) | 128.373 | − | 379.838i | 0.441146 | − | 1.30528i | ||||
\(292\) | 136.939 | + | 188.480i | 0.468969 | + | 0.645480i | ||||
\(293\) | 331.150 | 1.13020 | 0.565102 | − | 0.825021i | \(-0.308837\pi\) | ||||
0.565102 | + | 0.825021i | \(0.308837\pi\) | |||||||
\(294\) | 2.07828 | − | 176.749i | 0.00706898 | − | 0.601187i | ||||
\(295\) | −155.881 | + | 203.664i | −0.528412 | + | 0.690388i | ||||
\(296\) | 24.2855 | − | 33.4261i | 0.0820455 | − | 0.112926i | ||||
\(297\) | 35.6757 | − | 24.0445i | 0.120120 | − | 0.0809579i | ||||
\(298\) | 78.5199 | + | 25.5127i | 0.263489 | + | 0.0856129i | ||||
\(299\) | − | 192.946i | − | 0.645305i | ||||||
\(300\) | −95.4792 | + | 115.688i | −0.318264 | + | 0.385627i | ||||
\(301\) | −137.576 | −0.457063 | ||||||||
\(302\) | −82.7220 | + | 254.592i | −0.273914 | + | 0.843020i | ||||
\(303\) | −135.802 | − | 435.304i | −0.448190 | − | 1.43665i | ||||
\(304\) | −77.7272 | − | 56.4721i | −0.255682 | − | 0.185764i | ||||
\(305\) | 59.7724 | + | 200.885i | 0.195975 | + | 0.658639i | ||||
\(306\) | −235.420 | − | 179.650i | −0.769348 | − | 0.587091i | ||||
\(307\) | − | 446.812i | − | 1.45541i | −0.685888 | − | 0.727707i | \(-0.740586\pi\) | ||
0.685888 | − | 0.727707i | \(-0.259414\pi\) | |||||||
\(308\) | 6.98349 | − | 5.07380i | 0.0226737 | − | 0.0164734i | ||||
\(309\) | −155.503 | + | 460.109i | −0.503245 | + | 1.48903i | ||||
\(310\) | −124.090 | − | 94.9763i | −0.400289 | − | 0.306375i | ||||
\(311\) | −395.681 | − | 128.564i | −1.27228 | − | 0.413390i | −0.406428 | − | 0.913683i | \(-0.633226\pi\) |
−0.865857 | + | 0.500292i | \(0.833226\pi\) | |||||||
\(312\) | 43.0628 | − | 127.416i | 0.138022 | − | 0.408386i | ||||
\(313\) | −26.0997 | + | 8.48032i | −0.0833857 | + | 0.0270937i | −0.350413 | − | 0.936595i | \(-0.613959\pi\) |
0.267027 | + | 0.963689i | \(0.413959\pi\) | |||||||
\(314\) | 102.914 | + | 33.4387i | 0.327751 | + | 0.106493i | ||||
\(315\) | 113.964 | + | 43.2390i | 0.361790 | + | 0.137267i | ||||
\(316\) | 73.4466 | + | 226.046i | 0.232426 | + | 0.715334i | ||||
\(317\) | −467.709 | + | 339.811i | −1.47542 | + | 1.07196i | −0.496428 | + | 0.868078i | \(0.665355\pi\) |
−0.978996 | + | 0.203880i | \(0.934645\pi\) | |||||||
\(318\) | 127.888 | − | 171.739i | 0.402163 | − | 0.540060i | ||||
\(319\) | −46.0614 | + | 33.4655i | −0.144393 | + | 0.104908i | ||||
\(320\) | −11.4075 | − | 38.3389i | −0.0356486 | − | 0.119809i | ||||
\(321\) | 171.807 | − | 53.5985i | 0.535224 | − | 0.166973i | ||||
\(322\) | −27.4084 | + | 37.7244i | −0.0851192 | + | 0.117157i | ||||
\(323\) | −172.692 | + | 531.491i | −0.534650 | + | 1.64548i | ||||
\(324\) | −135.393 | + | 88.9542i | −0.417878 | + | 0.274550i | ||||
\(325\) | −19.7701 | + | 395.771i | −0.0608311 | + | 1.21776i | ||||
\(326\) | − | 174.970i | − | 0.536716i | ||||||
\(327\) | −327.665 | − | 462.327i | −1.00203 | − | 1.41384i | ||||
\(328\) | 37.4120 | − | 51.4933i | 0.114061 | − | 0.156992i | ||||
\(329\) | −74.6243 | + | 102.712i | −0.226822 | + | 0.312193i | ||||
\(330\) | −9.25815 | − | 32.5086i | −0.0280550 | − | 0.0985110i | ||||
\(331\) | 256.384 | − | 186.274i | 0.774575 | − | 0.562762i | −0.128771 | − | 0.991674i | \(-0.541103\pi\) |
0.903346 | + | 0.428913i | \(0.141103\pi\) | |||||||
\(332\) | −253.685 | −0.764112 | ||||||||
\(333\) | −79.7554 | + | 104.515i | −0.239506 | + | 0.313858i | ||||
\(334\) | 76.8898 | + | 236.643i | 0.230209 | + | 0.708511i | ||||
\(335\) | 238.796 | + | 84.2334i | 0.712825 | + | 0.251443i | ||||
\(336\) | −26.5193 | + | 18.7950i | −0.0789264 | + | 0.0559375i | ||||
\(337\) | 27.3492 | − | 8.88630i | 0.0811550 | − | 0.0263689i | −0.268158 | − | 0.963375i | \(-0.586415\pi\) |
0.349313 | + | 0.937006i | \(0.386415\pi\) | |||||||
\(338\) | −35.9405 | − | 110.613i | −0.106333 | − | 0.327259i | ||||
\(339\) | −167.334 | − | 236.105i | −0.493612 | − | 0.696474i | ||||
\(340\) | −191.585 | + | 132.019i | −0.563486 | + | 0.388290i | ||||
\(341\) | 33.4896 | − | 10.8814i | 0.0982098 | − | 0.0319103i | ||||
\(342\) | 243.033 | + | 185.459i | 0.710623 | + | 0.542278i | ||||
\(343\) | 245.577i | 0.715969i | ||||||||
\(344\) | −84.4400 | − | 116.222i | −0.245465 | − | 0.337854i | ||||
\(345\) | 101.831 | + | 151.560i | 0.295161 | + | 0.439305i | ||||
\(346\) | 8.33089 | + | 6.05274i | 0.0240777 | + | 0.0174935i | ||||
\(347\) | 182.296 | + | 132.446i | 0.525349 | + | 0.381688i | 0.818615 | − | 0.574343i | \(-0.194742\pi\) |
−0.293266 | + | 0.956031i | \(0.594742\pi\) | |||||||
\(348\) | 174.915 | − | 123.967i | 0.502628 | − | 0.356227i | ||||
\(349\) | −155.674 | −0.446058 | −0.223029 | − | 0.974812i | \(-0.571594\pi\) | ||||
−0.223029 | + | 0.974812i | \(0.571594\pi\) | |||||||
\(350\) | 60.0854 | − | 74.5718i | 0.171673 | − | 0.213062i | ||||
\(351\) | −146.520 | + | 402.102i | −0.417437 | + | 1.14559i | ||||
\(352\) | 8.57251 | + | 2.78538i | 0.0243537 | + | 0.00791300i | ||||
\(353\) | 51.2709 | + | 37.2505i | 0.145243 | + | 0.105525i | 0.658034 | − | 0.752988i | \(-0.271388\pi\) |
−0.512791 | + | 0.858514i | \(0.671388\pi\) | |||||||
\(354\) | 64.8114 | + | 207.749i | 0.183083 | + | 0.586862i | ||||
\(355\) | 4.46801 | − | 178.998i | 0.0125859 | − | 0.504221i | ||||
\(356\) | 125.753 | + | 173.084i | 0.353237 | + | 0.486190i | ||||
\(357\) | 151.641 | + | 112.921i | 0.424764 | + | 0.316306i | ||||
\(358\) | −98.3867 | − | 135.418i | −0.274823 | − | 0.378262i | ||||
\(359\) | −38.8547 | + | 12.6247i | −0.108230 | + | 0.0351662i | −0.362632 | − | 0.931933i | \(-0.618122\pi\) |
0.254401 | + | 0.967099i | \(0.418122\pi\) | |||||||
\(360\) | 33.4201 | + | 122.813i | 0.0928335 | + | 0.341148i | ||||
\(361\) | 66.7211 | − | 205.346i | 0.184823 | − | 0.568826i | ||||
\(362\) | 56.4083 | + | 173.607i | 0.155824 | + | 0.479577i | ||||
\(363\) | −336.675 | − | 113.786i | −0.927479 | − | 0.313459i | ||||
\(364\) | −26.5348 | + | 81.6657i | −0.0728978 | + | 0.224356i | ||||
\(365\) | −558.248 | + | 166.104i | −1.52945 | + | 0.455080i | ||||
\(366\) | 168.480 | + | 56.9411i | 0.460328 | + | 0.155577i | ||||
\(367\) | 204.108 | + | 280.930i | 0.556152 | + | 0.765478i | 0.990831 | − | 0.135108i | \(-0.0431381\pi\) |
−0.434679 | + | 0.900586i | \(0.643138\pi\) | |||||||
\(368\) | −48.6913 | −0.132313 | ||||||||
\(369\) | −122.864 | + | 161.006i | −0.332965 | + | 0.436331i | ||||
\(370\) | 58.6095 | + | 85.0542i | 0.158404 | + | 0.229876i | ||||
\(371\) | −80.3542 | + | 110.598i | −0.216588 | + | 0.298108i | ||||
\(372\) | −126.579 | + | 39.4886i | −0.340265 | + | 0.106152i | ||||
\(373\) | −180.806 | − | 58.7475i | −0.484735 | − | 0.157500i | 0.0564465 | − | 0.998406i | \(-0.482023\pi\) |
−0.541182 | + | 0.840906i | \(0.682023\pi\) | |||||||
\(374\) | − | 52.4295i | − | 0.140186i | ||||||
\(375\) | −193.345 | − | 321.314i | −0.515587 | − | 0.856837i | ||||
\(376\) | −132.571 | −0.352582 | ||||||||
\(377\) | 175.017 | − | 538.647i | 0.464236 | − | 1.42877i | ||||
\(378\) | 85.7667 | − | 57.8046i | 0.226896 | − | 0.152922i | ||||
\(379\) | 194.948 | + | 141.638i | 0.514374 | + | 0.373715i | 0.814480 | − | 0.580191i | \(-0.197022\pi\) |
−0.300106 | + | 0.953906i | \(0.597022\pi\) | |||||||
\(380\) | 197.780 | − | 136.287i | 0.520475 | − | 0.358651i | ||||
\(381\) | 575.294 | + | 6.76452i | 1.50996 | + | 0.0177546i | ||||
\(382\) | − | 59.3890i | − | 0.155469i | ||||||
\(383\) | −343.680 | + | 249.698i | −0.897337 | + | 0.651953i | −0.937780 | − | 0.347229i | \(-0.887123\pi\) |
0.0404440 | + | 0.999182i | \(0.487123\pi\) | |||||||
\(384\) | −32.1544 | − | 10.8672i | −0.0837354 | − | 0.0283000i | ||||
\(385\) | 6.15442 | + | 20.6840i | 0.0159855 | + | 0.0537246i | ||||
\(386\) | −167.965 | − | 54.5750i | −0.435142 | − | 0.141386i | ||||
\(387\) | 259.917 | + | 376.031i | 0.671619 | + | 0.971655i | ||||
\(388\) | −254.214 | + | 82.5991i | −0.655190 | + | 0.212884i | ||||
\(389\) | 559.973 | + | 181.946i | 1.43952 | + | 0.467728i | 0.921747 | − | 0.387791i | \(-0.126762\pi\) |
0.517771 | + | 0.855519i | \(0.326762\pi\) | |||||||
\(390\) | 264.587 | + | 207.489i | 0.678429 | + | 0.532024i | ||||
\(391\) | 87.5202 | + | 269.359i | 0.223837 | + | 0.688899i | ||||
\(392\) | −95.3352 | + | 69.2651i | −0.243202 | + | 0.176697i | ||||
\(393\) | 13.4326 | + | 10.0027i | 0.0341796 | + | 0.0254522i | ||||
\(394\) | 282.911 | − | 205.547i | 0.718048 | − | 0.521693i | ||||
\(395\) | −594.011 | − | 14.8272i | −1.50382 | − | 0.0375372i | ||||
\(396\) | −27.0616 | − | 9.50195i | −0.0683374 | − | 0.0239948i | ||||
\(397\) | 45.1315 | − | 62.1182i | 0.113681 | − | 0.156469i | −0.748385 | − | 0.663265i | \(-0.769170\pi\) |
0.862066 | + | 0.506796i | \(0.169170\pi\) | |||||||
\(398\) | 58.0316 | − | 178.603i | 0.145808 | − | 0.448751i | ||||
\(399\) | −156.544 | − | 116.573i | −0.392341 | − | 0.292162i | ||||
\(400\) | 99.8755 | + | 4.98912i | 0.249689 | + | 0.0124728i | ||||
\(401\) | − | 220.661i | − | 0.550276i | −0.961405 | − | 0.275138i | \(-0.911276\pi\) | ||
0.961405 | − | 0.275138i | \(-0.0887235\pi\) | |||||||
\(402\) | 175.300 | − | 124.240i | 0.436069 | − | 0.309055i | ||||
\(403\) | −205.892 | + | 283.387i | −0.510899 | + | 0.703192i | ||||
\(404\) | −178.685 | + | 245.939i | −0.442290 | + | 0.608759i | ||||
\(405\) | −97.1238 | − | 393.182i | −0.239812 | − | 0.970819i | ||||
\(406\) | −110.735 | + | 80.4535i | −0.272746 | + | 0.198161i | ||||
\(407\) | −23.2761 | −0.0571893 | ||||||||
\(408\) | −2.32123 | + | 197.411i | −0.00568928 | + | 0.483850i | ||||
\(409\) | −32.8392 | − | 101.069i | −0.0802914 | − | 0.247111i | 0.902851 | − | 0.429954i | \(-0.141470\pi\) |
−0.983142 | + | 0.182842i | \(0.941470\pi\) | |||||||
\(410\) | 90.2887 | + | 131.027i | 0.220216 | + | 0.319578i | ||||
\(411\) | −199.707 | − | 281.782i | −0.485905 | − | 0.685600i | ||||
\(412\) | 307.937 | − | 100.055i | 0.747420 | − | 0.242851i | ||||
\(413\) | −42.9350 | − | 132.140i | −0.103959 | − | 0.319953i | ||||
\(414\) | 154.892 | + | 3.64306i | 0.374135 | + | 0.00879966i | ||||
\(415\) | 210.973 | − | 598.094i | 0.508368 | − | 1.44119i | ||||
\(416\) | −85.2759 | + | 27.7078i | −0.204990 | + | 0.0666053i | ||||
\(417\) | −5.44468 | + | 463.047i | −0.0130568 | + | 1.11043i | ||||
\(418\) | 54.1249i | 0.129485i | ||||||||
\(419\) | 388.137 | + | 534.225i | 0.926342 | + | 1.27500i | 0.961269 | + | 0.275611i | \(0.0888800\pi\) |
−0.0349274 | + | 0.999390i | \(0.511120\pi\) | |||||||
\(420\) | −22.2572 | − | 78.1530i | −0.0529934 | − | 0.186079i | ||||
\(421\) | 319.900 | + | 232.421i | 0.759857 | + | 0.552068i | 0.898866 | − | 0.438223i | \(-0.144392\pi\) |
−0.139010 | + | 0.990291i | \(0.544392\pi\) | |||||||
\(422\) | 357.847 | + | 259.991i | 0.847978 | + | 0.616092i | ||||
\(423\) | 421.722 | + | 9.91889i | 0.996978 | + | 0.0234489i | ||||
\(424\) | −142.750 | −0.336675 | ||||||||
\(425\) | −151.921 | − | 561.477i | −0.357462 | − | 1.32112i | ||||
\(426\) | −121.858 | − | 90.7427i | −0.286051 | − | 0.213011i | ||||
\(427\) | −107.985 | − | 35.0864i | −0.252892 | − | 0.0821696i | ||||
\(428\) | −97.0676 | − | 70.5237i | −0.226793 | − | 0.164775i | ||||
\(429\) | −72.3311 | + | 22.5651i | −0.168604 | + | 0.0525993i | ||||
\(430\) | 344.230 | − | 102.424i | 0.800535 | − | 0.238195i | ||||
\(431\) | −91.4244 | − | 125.835i | −0.212122 | − | 0.291960i | 0.689677 | − | 0.724117i | \(-0.257753\pi\) |
−0.901798 | + | 0.432157i | \(0.857753\pi\) | |||||||
\(432\) | 101.473 | + | 36.9754i | 0.234892 | + | 0.0855912i | ||||
\(433\) | −315.463 | − | 434.197i | −0.728551 | − | 1.00276i | −0.999196 | − | 0.0400854i | \(-0.987237\pi\) |
0.270645 | − | 0.962679i | \(-0.412763\pi\) | |||||||
\(434\) | 80.5112 | − | 26.1597i | 0.185510 | − | 0.0602757i | ||||
\(435\) | 146.803 | + | 515.478i | 0.337479 | + | 1.18501i | ||||
\(436\) | −116.740 | + | 359.288i | −0.267751 | + | 0.824054i | ||||
\(437\) | −90.3503 | − | 278.069i | −0.206751 | − | 0.636315i | ||||
\(438\) | −158.236 | + | 468.196i | −0.361269 | + | 1.06894i | ||||
\(439\) | 177.231 | − | 545.460i | 0.403714 | − | 1.24251i | −0.518249 | − | 0.855230i | \(-0.673416\pi\) |
0.921964 | − | 0.387276i | \(-0.126584\pi\) | |||||||
\(440\) | −13.6960 | + | 17.8943i | −0.0311274 | + | 0.0406689i | ||||
\(441\) | 308.453 | − | 213.206i | 0.699441 | − | 0.483461i | ||||
\(442\) | 306.558 | + | 421.941i | 0.693571 | + | 0.954618i | ||||
\(443\) | −339.491 | −0.766344 | −0.383172 | − | 0.923677i | \(-0.625168\pi\) | ||||
−0.383172 | + | 0.923677i | \(0.625168\pi\) | |||||||
\(444\) | 87.6403 | + | 1.03051i | 0.197388 | + | 0.00232096i | ||||
\(445\) | −512.646 | + | 152.535i | −1.15201 | + | 0.342776i | ||||
\(446\) | 118.559 | − | 163.182i | 0.265826 | − | 0.365879i | ||||
\(447\) | 52.1584 | + | 167.191i | 0.116685 | + | 0.374028i | ||||
\(448\) | 20.6089 | + | 6.69623i | 0.0460020 | + | 0.0149470i | ||||
\(449\) | 283.865i | 0.632216i | 0.948723 | + | 0.316108i | \(0.102376\pi\) | ||||
−0.948723 | + | 0.316108i | \(0.897624\pi\) | |||||||
\(450\) | −317.341 | − | 23.3435i | −0.705201 | − | 0.0518745i | ||||
\(451\) | −35.8570 | −0.0795056 | ||||||||
\(452\) | −59.6175 | + | 183.484i | −0.131897 | + | 0.405938i | ||||
\(453\) | −542.097 | + | 169.118i | −1.19668 | + | 0.373328i | ||||
\(454\) | −293.676 | − | 213.368i | −0.646863 | − | 0.469973i | ||||
\(455\) | −170.470 | − | 130.475i | −0.374659 | − | 0.286758i | ||||
\(456\) | 2.39629 | − | 203.794i | 0.00525502 | − | 0.446917i | ||||
\(457\) | 628.493i | 1.37526i | 0.726062 | + | 0.687630i | \(0.241349\pi\) | ||||
−0.726062 | + | 0.687630i | \(0.758651\pi\) | |||||||
\(458\) | 264.787 | − | 192.379i | 0.578137 | − | 0.420041i | ||||
\(459\) | 22.1542 | − | 627.810i | 0.0482663 | − | 1.36778i | ||||
\(460\) | 40.4933 | − | 114.796i | 0.0880288 | − | 0.249556i | ||||
\(461\) | 462.891 | + | 150.402i | 1.00410 | + | 0.326252i | 0.764503 | − | 0.644620i | \(-0.222984\pi\) |
0.239598 | + | 0.970872i | \(0.422984\pi\) | |||||||
\(462\) | 17.3474 | + | 5.86290i | 0.0375485 | + | 0.0126903i | ||||
\(463\) | 394.728 | − | 128.255i | 0.852545 | − | 0.277009i | 0.150033 | − | 0.988681i | \(-0.452062\pi\) |
0.702512 | + | 0.711672i | \(0.252062\pi\) | |||||||
\(464\) | −135.931 | − | 44.1667i | −0.292955 | − | 0.0951869i | ||||
\(465\) | 12.1675 | − | 331.265i | 0.0261666 | − | 0.712397i | ||||
\(466\) | −144.879 | − | 445.890i | −0.310898 | − | 0.956847i | ||||
\(467\) | 642.975 | − | 467.149i | 1.37682 | − | 1.00032i | 0.379651 | − | 0.925130i | \(-0.376044\pi\) |
0.997169 | − | 0.0751884i | \(-0.0239558\pi\) | |||||||
\(468\) | 273.344 | − | 81.7611i | 0.584069 | − | 0.174703i | ||||
\(469\) | −110.979 | + | 80.6306i | −0.236628 | + | 0.171920i | ||||
\(470\) | 110.250 | − | 312.552i | 0.234575 | − | 0.665005i | ||||
\(471\) | 68.3625 | + | 219.132i | 0.145143 | + | 0.465249i | ||||
\(472\) | 85.2775 | − | 117.374i | 0.180673 | − | 0.248675i | ||||
\(473\) | −25.0088 | + | 76.9693i | −0.0528728 | + | 0.162726i | ||||
\(474\) | −301.132 | + | 404.387i | −0.635299 | + | 0.853137i | ||||
\(475\) | 156.834 | + | 579.633i | 0.330177 | + | 1.22028i | ||||
\(476\) | − | 126.044i | − | 0.264799i | ||||||
\(477\) | 454.103 | + | 10.6805i | 0.951997 | + | 0.0223910i | ||||
\(478\) | −135.329 | + | 186.265i | −0.283115 | + | 0.389675i | ||||
\(479\) | 177.966 | − | 244.949i | 0.371536 | − | 0.511376i | −0.581781 | − | 0.813345i | \(-0.697644\pi\) |
0.953318 | + | 0.301970i | \(0.0976441\pi\) | |||||||
\(480\) | 52.3614 | − | 66.7704i | 0.109086 | − | 0.139105i | ||||
\(481\) | 187.321 | − | 136.096i | 0.389440 | − | 0.282945i | ||||
\(482\) | −361.874 | −0.750776 | ||||||||
\(483\) | −98.9102 | − | 1.16302i | −0.204783 | − | 0.00240791i | ||||
\(484\) | 73.2130 | + | 225.326i | 0.151266 | + | 0.465550i | ||||
\(485\) | 16.6749 | − | 668.032i | 0.0343812 | − | 1.37739i | ||||
\(486\) | −320.030 | − | 125.215i | −0.658498 | − | 0.257643i | ||||
\(487\) | −768.396 | + | 249.667i | −1.57781 | + | 0.512663i | −0.961493 | − | 0.274831i | \(-0.911378\pi\) |
−0.616322 | + | 0.787494i | \(0.711378\pi\) | |||||||
\(488\) | −36.6375 | − | 112.759i | −0.0750768 | − | 0.231063i | ||||
\(489\) | 302.824 | − | 214.621i | 0.619273 | − | 0.438897i | ||||
\(490\) | −84.0172 | − | 282.368i | −0.171464 | − | 0.576261i | ||||
\(491\) | −341.484 | + | 110.955i | −0.695486 | + | 0.225977i | −0.635363 | − | 0.772214i | \(-0.719149\pi\) |
−0.0601234 | + | 0.998191i | \(0.519149\pi\) | |||||||
\(492\) | 135.011 | + | 1.58751i | 0.274413 | + | 0.00322664i | ||||
\(493\) | 831.356i | 1.68632i | ||||||||
\(494\) | −316.471 | − | 435.585i | −0.640630 | − | 0.881751i | ||||
\(495\) | 44.9073 | − | 55.8989i | 0.0907219 | − | 0.112927i | ||||
\(496\) | 71.5145 | + | 51.9583i | 0.144182 | + | 0.104755i | ||||
\(497\) | 78.4749 | + | 57.0153i | 0.157897 | + | 0.114719i | ||||
\(498\) | −311.174 | − | 439.059i | −0.624848 | − | 0.881645i | ||||
\(499\) | −688.464 | −1.37969 | −0.689844 | − | 0.723958i | \(-0.742321\pi\) | ||||
−0.689844 | + | 0.723958i | \(0.742321\pi\) | |||||||
\(500\) | −94.8221 | + | 231.320i | −0.189644 | + | 0.462639i | ||||
\(501\) | −315.249 | + | 423.345i | −0.629240 | + | 0.845000i | ||||
\(502\) | −497.952 | − | 161.794i | −0.991937 | − | 0.322300i | ||||
\(503\) | 596.829 | + | 433.621i | 1.18654 | + | 0.862071i | 0.992894 | − | 0.119001i | \(-0.0379693\pi\) |
0.193644 | + | 0.981072i | \(0.437969\pi\) | |||||||
\(504\) | −65.0580 | − | 22.8433i | −0.129083 | − | 0.0453241i | ||||
\(505\) | −431.231 | − | 625.803i | −0.853923 | − | 1.23921i | ||||
\(506\) | 16.1232 | + | 22.1917i | 0.0318641 | + | 0.0438571i | ||||
\(507\) | 147.356 | − | 197.883i | 0.290644 | − | 0.390303i | ||||
\(508\) | −225.448 | − | 310.303i | −0.443796 | − | 0.610833i | ||||
\(509\) | −91.6916 | + | 29.7924i | −0.180141 | + | 0.0585313i | −0.397698 | − | 0.917516i | \(-0.630191\pi\) |
0.217558 | + | 0.976047i | \(0.430191\pi\) | |||||||
\(510\) | −463.490 | − | 169.646i | −0.908803 | − | 0.332639i | ||||
\(511\) | 97.5032 | − | 300.084i | 0.190809 | − | 0.587248i | ||||
\(512\) | 6.99226 | + | 21.5200i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −22.8706 | + | 648.110i | −0.0445821 | + | 1.26337i | ||||
\(514\) | −88.0206 | + | 270.900i | −0.171246 | + | 0.527042i | ||||
\(515\) | −20.1988 | + | 809.208i | −0.0392209 | + | 1.57128i | ||||
\(516\) | 97.5724 | − | 288.702i | 0.189094 | − | 0.559500i | ||||
\(517\) | 43.8984 | + | 60.4209i | 0.0849098 | + | 0.116868i | ||||
\(518\) | −55.9572 | −0.108026 | ||||||||
\(519\) | −0.256837 | + | 21.8429i | −0.000494868 | + | 0.0420865i | ||||
\(520\) | 5.59357 | − | 224.091i | 0.0107569 | − | 0.430945i | ||||
\(521\) | 406.508 | − | 559.510i | 0.780246 | − | 1.07392i | −0.215009 | − | 0.976612i | \(-0.568978\pi\) |
0.995255 | − | 0.0973043i | \(-0.0310220\pi\) | |||||||
\(522\) | 429.106 | + | 150.669i | 0.822042 | + | 0.288638i | ||||
\(523\) | −194.437 | − | 63.1763i | −0.371772 | − | 0.120796i | 0.117171 | − | 0.993112i | \(-0.462617\pi\) |
−0.488943 | + | 0.872316i | \(0.662617\pi\) | |||||||
\(524\) | − | 11.1652i | − | 0.0213076i | ||||||
\(525\) | 202.765 | + | 12.5204i | 0.386219 | + | 0.0238483i | ||||
\(526\) | 143.199 | 0.272242 | ||||||||
\(527\) | 158.889 | − | 489.010i | 0.301497 | − | 0.927912i | ||||
\(528\) | 5.69445 | + | 18.2532i | 0.0107850 | + | 0.0345705i | ||||
\(529\) | 308.092 | + | 223.842i | 0.582404 | + | 0.423141i | ||||
\(530\) | 118.716 | − | 336.551i | 0.223992 | − | 0.635002i | ||||
\(531\) | −280.058 | + | 367.000i | −0.527417 | + | 0.691148i | ||||
\(532\) | 130.120i | 0.244586i | ||||||||
\(533\) | 288.569 | − | 209.658i | 0.541406 | − | 0.393355i | ||||
\(534\) | −145.310 | + | 429.950i | −0.272116 | + | 0.805150i | ||||
\(535\) | 246.993 | − | 170.199i | 0.461669 | − | 0.318129i | ||||
\(536\) | −136.231 | − | 44.2640i | −0.254161 | − | 0.0825821i | ||||
\(537\) | 113.688 | − | 336.386i | 0.211710 | − | 0.626417i | ||||
\(538\) | 404.588 | − | 131.459i | 0.752022 | − | 0.244347i | ||||
\(539\) | 63.1370 | + | 20.5144i | 0.117137 | + | 0.0380602i | ||||
\(540\) | −171.562 | + | 208.486i | −0.317708 | + | 0.386085i | ||||
\(541\) | −123.230 | − | 379.264i | −0.227782 | − | 0.701042i | −0.997997 | − | 0.0632575i | \(-0.979851\pi\) |
0.770215 | − | 0.637784i | \(-0.220149\pi\) | |||||||
\(542\) | −149.756 | + | 108.804i | −0.276303 | + | 0.200746i | ||||
\(543\) | −231.274 | + | 310.576i | −0.425920 | + | 0.571964i | ||||
\(544\) | 106.480 | − | 77.3621i | 0.195735 | − | 0.142210i | ||||
\(545\) | −749.980 | − | 574.023i | −1.37611 | − | 1.05325i | ||||
\(546\) | −173.889 | + | 54.2480i | −0.318478 | + | 0.0993554i | ||||
\(547\) | 98.1369 | − | 135.074i | 0.179409 | − | 0.246936i | −0.709835 | − | 0.704368i | \(-0.751231\pi\) |
0.889245 | + | 0.457432i | \(0.151231\pi\) | |||||||
\(548\) | −71.1511 | + | 218.981i | −0.129838 | + | 0.399600i | ||||
\(549\) | 108.111 | + | 361.438i | 0.196923 | + | 0.658356i | ||||
\(550\) | −30.7980 | − | 47.1716i | −0.0559964 | − | 0.0857666i | ||||
\(551\) | − | 858.239i | − | 1.55760i | ||||||
\(552\) | −59.7256 | − | 84.2713i | −0.108198 | − | 0.152665i | ||||
\(553\) | 189.207 | − | 260.421i | 0.342146 | − | 0.470924i | ||||
\(554\) | −268.328 | + | 369.322i | −0.484347 | + | 0.666646i | ||||
\(555\) | −75.3141 | + | 205.766i | −0.135701 | + | 0.370749i | ||||
\(556\) | 249.759 | − | 181.461i | 0.449208 | − | 0.326368i | ||||
\(557\) | 939.086 | 1.68597 | 0.842985 | − | 0.537936i | \(-0.180796\pi\) | ||||
0.842985 | + | 0.537936i | \(0.180796\pi\) | |||||||
\(558\) | −223.607 | − | 170.635i | −0.400730 | − | 0.305798i | ||||
\(559\) | −248.778 | − | 765.660i | −0.445041 | − | 1.36970i | ||||
\(560\) | −32.9262 | + | 43.0192i | −0.0587968 | + | 0.0768200i | ||||
\(561\) | 90.7411 | − | 64.3109i | 0.161749 | − | 0.114636i | ||||
\(562\) | 412.576 | − | 134.054i | 0.734121 | − | 0.238530i | ||||
\(563\) | −2.66316 | − | 8.19635i | −0.00473030 | − | 0.0145584i | 0.948664 | − | 0.316287i | \(-0.102436\pi\) |
−0.953394 | + | 0.301729i | \(0.902436\pi\) | |||||||
\(564\) | −162.614 | − | 229.444i | −0.288322 | − | 0.406816i | ||||
\(565\) | −383.006 | − | 293.147i | −0.677887 | − | 0.518844i | ||||
\(566\) | 340.311 | − | 110.574i | 0.601256 | − | 0.195360i | ||||
\(567\) | 205.247 | + | 77.5346i | 0.361987 | + | 0.136745i | ||||
\(568\) | 101.288i | 0.178325i | ||||||||
\(569\) | −130.006 | − | 178.937i | −0.228481 | − | 0.314477i | 0.679349 | − | 0.733815i | \(-0.262262\pi\) |
−0.907830 | + | 0.419338i | \(0.862262\pi\) | |||||||
\(570\) | 478.477 | + | 175.131i | 0.839433 | + | 0.307248i | ||||
\(571\) | 804.112 | + | 584.222i | 1.40825 | + | 1.02316i | 0.993574 | + | 0.113187i | \(0.0361059\pi\) |
0.414678 | + | 0.909968i | \(0.363894\pi\) | |||||||
\(572\) | 40.8657 | + | 29.6907i | 0.0714436 | + | 0.0519068i | ||||
\(573\) | 102.786 | − | 72.8475i | 0.179382 | − | 0.127133i | ||||
\(574\) | −86.2027 | −0.150179 | ||||||||
\(575\) | 236.970 | + | 190.936i | 0.412121 | + | 0.332062i | ||||
\(576\) | −20.6330 | − | 68.9803i | −0.0358211 | − | 0.119757i | ||||
\(577\) | 599.210 | + | 194.695i | 1.03849 | + | 0.337426i | 0.778142 | − | 0.628088i | \(-0.216162\pi\) |
0.260350 | + | 0.965514i | \(0.416162\pi\) | |||||||
\(578\) | −288.706 | − | 209.757i | −0.499492 | − | 0.362902i | ||||
\(579\) | −111.574 | − | 357.644i | −0.192701 | − | 0.617692i | ||||
\(580\) | 217.173 | − | 283.744i | 0.374437 | − | 0.489214i | ||||
\(581\) | 201.949 | + | 277.959i | 0.347589 | + | 0.478415i | ||||
\(582\) | −454.779 | − | 338.657i | −0.781407 | − | 0.581885i | ||||
\(583\) | 47.2690 | + | 65.0602i | 0.0810790 | + | 0.111596i | ||||
\(584\) | 313.350 | − | 101.813i | 0.536558 | − | 0.174338i | ||||
\(585\) | −34.5601 | + | 712.438i | −0.0590771 | + | 1.21784i | ||||
\(586\) | 144.718 | − | 445.396i | 0.246959 | − | 0.760061i | ||||
\(587\) | −60.7330 | − | 186.917i | −0.103463 | − | 0.318428i | 0.885903 | − | 0.463870i | \(-0.153539\pi\) |
−0.989367 | + | 0.145442i | \(0.953539\pi\) | |||||||
\(588\) | −236.819 | − | 80.0375i | −0.402753 | − | 0.136118i | ||||
\(589\) | −164.027 | + | 504.822i | −0.278483 | + | 0.857083i | ||||
\(590\) | 205.805 | + | 298.665i | 0.348822 | + | 0.506211i | ||||
\(591\) | 702.769 | + | 237.514i | 1.18912 | + | 0.401885i | ||||
\(592\) | −34.3448 | − | 47.2716i | −0.0580149 | − | 0.0798507i | ||||
\(593\) | 424.765 | 0.716298 | 0.358149 | − | 0.933664i | \(-0.383408\pi\) | ||||
0.358149 | + | 0.933664i | \(0.383408\pi\) | |||||||
\(594\) | −16.7489 | − | 58.4915i | −0.0281969 | − | 0.0984705i | ||||
\(595\) | 297.165 | + | 104.822i | 0.499436 | + | 0.176172i | ||||
\(596\) | 68.6289 | − | 94.4596i | 0.115149 | − | 0.158489i | ||||
\(597\) | 380.295 | − | 118.640i | 0.637010 | − | 0.198728i | ||||
\(598\) | −259.512 | − | 84.3206i | −0.433967 | − | 0.141004i | ||||
\(599\) | − | 334.573i | − | 0.558552i | −0.960211 | − | 0.279276i | \(-0.909906\pi\) | ||
0.960211 | − | 0.279276i | \(-0.0900945\pi\) | |||||||
\(600\) | 113.874 | + | 178.977i | 0.189790 | + | 0.298295i | ||||
\(601\) | 893.199 | 1.48619 | 0.743094 | − | 0.669187i | \(-0.233358\pi\) | ||||
0.743094 | + | 0.669187i | \(0.233358\pi\) | |||||||
\(602\) | −60.1229 | + | 185.039i | −0.0998720 | + | 0.307374i | ||||
\(603\) | 430.051 | + | 151.001i | 0.713186 | + | 0.250416i | ||||
\(604\) | 306.275 | + | 222.522i | 0.507078 | + | 0.368413i | ||||
\(605\) | −592.121 | − | 14.7800i | −0.978712 | − | 0.0244298i | ||||
\(606\) | −644.831 | − | 7.58216i | −1.06408 | − | 0.0125118i | ||||
\(607\) | 361.640i | 0.595783i | 0.954600 | + | 0.297891i | \(0.0962833\pi\) | ||||
−0.954600 | + | 0.297891i | \(0.903717\pi\) | |||||||
\(608\) | −109.923 | + | 79.8637i | −0.180794 | + | 0.131355i | ||||
\(609\) | −275.072 | − | 92.9658i | −0.451678 | − | 0.152653i | ||||
\(610\) | 296.311 | + | 7.39627i | 0.485756 | + | 0.0121250i | ||||
\(611\) | −706.569 | − | 229.578i | −1.15641 | − | 0.375742i | ||||
\(612\) | −344.511 | + | 238.130i | −0.562927 | + | 0.389101i | ||||
\(613\) | −150.413 | + | 48.8722i | −0.245372 | + | 0.0797263i | −0.429121 | − | 0.903247i | \(-0.641177\pi\) |
0.183749 | + | 0.982973i | \(0.441177\pi\) | |||||||
\(614\) | −600.961 | − | 195.264i | −0.978764 | − | 0.318020i | ||||
\(615\) | −116.022 | + | 316.985i | −0.188654 | + | 0.515422i | ||||
\(616\) | −3.77235 | − | 11.6101i | −0.00612395 | − | 0.0188476i | ||||
\(617\) | −902.981 | + | 656.054i | −1.46350 | + | 1.06330i | −0.481069 | + | 0.876683i | \(0.659751\pi\) |
−0.982433 | + | 0.186614i | \(0.940249\pi\) | |||||||
\(618\) | 550.888 | + | 410.226i | 0.891404 | + | 0.663795i | ||||
\(619\) | −422.883 | + | 307.242i | −0.683171 | + | 0.496353i | −0.874408 | − | 0.485191i | \(-0.838750\pi\) |
0.191237 | + | 0.981544i | \(0.438750\pi\) | |||||||
\(620\) | −181.972 | + | 125.394i | −0.293503 | + | 0.202249i | ||||
\(621\) | 183.688 | + | 272.544i | 0.295794 | + | 0.438880i | ||||
\(622\) | −345.838 | + | 476.005i | −0.556009 | + | 0.765281i | ||||
\(623\) | 89.5383 | − | 275.571i | 0.143721 | − | 0.442328i | ||||
\(624\) | −152.555 | − | 113.602i | −0.244480 | − | 0.182055i | ||||
\(625\) | −466.507 | − | 415.928i | −0.746412 | − | 0.665484i | ||||
\(626\) | 38.8101i | 0.0619969i | ||||||||
\(627\) | −93.6753 | + | 66.3905i | −0.149402 | + | 0.105886i | ||||
\(628\) | 89.9500 | − | 123.805i | 0.143232 | − | 0.197143i | ||||
\(629\) | −199.773 | + | 274.963i | −0.317604 | + | 0.437144i | ||||
\(630\) | 107.960 | − | 134.385i | 0.171366 | − | 0.213309i | ||||
\(631\) | −307.273 | + | 223.247i | −0.486963 | + | 0.353799i | −0.804015 | − | 0.594609i | \(-0.797307\pi\) |
0.317052 | + | 0.948408i | \(0.397307\pi\) | |||||||
\(632\) | 336.128 | 0.531848 | ||||||||
\(633\) | −11.0322 | + | 938.244i | −0.0174285 | + | 1.48222i | ||||
\(634\) | 252.648 | + | 777.570i | 0.398498 | + | 1.22645i | ||||
\(635\) | 919.068 | − | 273.464i | 1.44735 | − | 0.430653i | ||||
\(636\) | −175.100 | − | 247.061i | −0.275314 | − | 0.388461i | ||||
\(637\) | −628.062 | + | 204.070i | −0.985968 | + | 0.320360i | ||||
\(638\) | 24.8815 | + | 76.5774i | 0.0389992 | + | 0.120027i | ||||
\(639\) | 7.57834 | − | 322.208i | 0.0118597 | − | 0.504239i | ||||
\(640\) | −56.5509 | − | 1.41158i | −0.0883608 | − | 0.00220559i | ||||
\(641\) | −978.556 | + | 317.952i | −1.52661 | + | 0.496025i | −0.947644 | − | 0.319328i | \(-0.896543\pi\) |
−0.578964 | + | 0.815353i | \(0.696543\pi\) | |||||||
\(642\) | 2.99254 | − | 254.503i | 0.00466128 | − | 0.396422i | ||||
\(643\) | − | 664.252i | − | 1.03305i | −0.856272 | − | 0.516526i | \(-0.827225\pi\) | ||
0.856272 | − | 0.516526i | \(-0.172775\pi\) | |||||||
\(644\) | 38.7613 | + | 53.3504i | 0.0601884 | + | 0.0828422i | ||||
\(645\) | 599.506 | + | 470.133i | 0.929467 | + | 0.728888i | ||||
\(646\) | 639.385 | + | 464.541i | 0.989760 | + | 0.719103i | ||||
\(647\) | −534.360 | − | 388.235i | −0.825904 | − | 0.600054i | 0.0924936 | − | 0.995713i | \(-0.470516\pi\) |
−0.918397 | + | 0.395659i | \(0.870516\pi\) | |||||||
\(648\) | 60.4745 | + | 220.977i | 0.0933248 | + | 0.341014i | ||||
\(649\) | −81.7330 | −0.125937 | ||||||||
\(650\) | 523.671 | + | 199.549i | 0.805647 | + | 0.306998i | ||||
\(651\) | 144.032 | + | 107.255i | 0.221247 | + | 0.164754i | ||||
\(652\) | −235.334 | − | 76.4645i | −0.360941 | − | 0.117277i | ||||
\(653\) | 344.343 | + | 250.180i | 0.527325 | + | 0.383124i | 0.819356 | − | 0.573285i | \(-0.194331\pi\) |
−0.292031 | + | 0.956409i | \(0.594331\pi\) | |||||||
\(654\) | −765.023 | + | 238.664i | −1.16976 | + | 0.364929i | ||||
\(655\) | 26.3233 | + | 9.28534i | 0.0401883 | + | 0.0141761i | ||||
\(656\) | −52.9086 | − | 72.8225i | −0.0806534 | − | 0.111010i | ||||
\(657\) | −1004.41 | + | 300.434i | −1.52879 | + | 0.457282i | ||||
\(658\) | 105.535 | + | 145.256i | 0.160387 | + | 0.220754i | ||||
\(659\) | −567.227 | + | 184.303i | −0.860738 | + | 0.279671i | −0.705937 | − | 0.708275i | \(-0.749474\pi\) |
−0.154802 | + | 0.987946i | \(0.549474\pi\) | |||||||
\(660\) | −47.7700 | − | 1.75461i | −0.0723787 | − | 0.00265849i | ||||
\(661\) | 104.063 | − | 320.274i | 0.157433 | − | 0.484529i | −0.840966 | − | 0.541088i | \(-0.818013\pi\) |
0.998399 | + | 0.0565584i | \(0.0180127\pi\) | |||||||
\(662\) | −138.494 | − | 426.241i | −0.209206 | − | 0.643868i | ||||
\(663\) | −354.235 | + | 1048.13i | −0.534292 | + | 1.58089i | ||||
\(664\) | −110.864 | + | 341.206i | −0.166965 | + | 0.513864i | ||||
\(665\) | −306.774 | − | 108.212i | −0.461314 | − | 0.162725i | ||||
\(666\) | 105.718 | + | 152.945i | 0.158735 | + | 0.229648i | ||||
\(667\) | −255.660 | − | 351.886i | −0.383298 | − | 0.527565i | ||||
\(668\) | 351.886 | 0.526775 | ||||||||
\(669\) | 427.849 | + | 5.03081i | 0.639535 | + | 0.00751989i | ||||
\(670\) | 217.651 | − | 284.369i | 0.324853 | − | 0.424431i | ||||
\(671\) | −39.2594 | + | 54.0359i | −0.0585088 | + | 0.0805304i | ||||
\(672\) | 13.6899 | + | 43.8821i | 0.0203718 | + | 0.0653007i | ||||
\(673\) | 1113.47 | + | 361.788i | 1.65449 | + | 0.537576i | 0.979706 | − | 0.200442i | \(-0.0642377\pi\) |
0.674782 | + | 0.738017i | \(0.264238\pi\) | |||||||
\(674\) | − | 40.6681i | − | 0.0603384i | ||||||
\(675\) | −348.854 | − | 577.863i | −0.516821 | − | 0.856094i | ||||
\(676\) | −164.481 | −0.243316 | ||||||||
\(677\) | 17.9307 | − | 55.1849i | 0.0264855 | − | 0.0815139i | −0.936940 | − | 0.349490i | \(-0.886355\pi\) |
0.963426 | + | 0.267976i | \(0.0863548\pi\) | |||||||
\(678\) | −390.688 | + | 121.883i | −0.576236 | + | 0.179768i | ||||
\(679\) | 292.873 | + | 212.784i | 0.431329 | + | 0.313379i | ||||
\(680\) | 93.8386 | + | 315.376i | 0.137998 | + | 0.463788i | ||||
\(681\) | 9.05386 | − | 769.993i | 0.0132949 | − | 1.13068i | ||||
\(682\) | − | 49.7987i | − | 0.0730186i | ||||||
\(683\) | −241.858 | + | 175.720i | −0.354111 | + | 0.257277i | −0.750592 | − | 0.660766i | \(-0.770231\pi\) |
0.396481 | + | 0.918043i | \(0.370231\pi\) | |||||||
\(684\) | 355.651 | − | 245.830i | 0.519958 | − | 0.359401i | ||||
\(685\) | −457.102 | − | 349.859i | −0.667302 | − | 0.510743i | ||||
\(686\) | 330.301 | + | 107.321i | 0.481488 | + | 0.156445i | ||||
\(687\) | 657.747 | + | 222.298i | 0.957419 | + | 0.323578i | ||||
\(688\) | −193.219 | + | 62.7808i | −0.280842 | + | 0.0912512i | ||||
\(689\) | −760.822 | − | 247.206i | −1.10424 | − | 0.358789i | ||||
\(690\) | 248.350 | − | 70.7277i | 0.359927 | − | 0.102504i | ||||
\(691\) | 357.640 | + | 1100.70i | 0.517568 | + | 1.59291i | 0.778560 | + | 0.627570i | \(0.215950\pi\) |
−0.260992 | + | 0.965341i | \(0.584050\pi\) | |||||||
\(692\) | 11.7817 | − | 8.55987i | 0.0170255 | − | 0.0123698i | ||||
\(693\) | 11.1316 | + | 37.2152i | 0.0160629 | + | 0.0537015i | ||||
\(694\) | 257.806 | − | 187.307i | 0.371478 | − | 0.269894i | ||||
\(695\) | 220.108 | + | 739.747i | 0.316703 | + | 1.06438i | ||||
\(696\) | −90.2949 | − | 289.435i | −0.129734 | − | 0.415855i | ||||
\(697\) | −307.752 | + | 423.584i | −0.441538 | + | 0.607725i | ||||
\(698\) | −68.0321 | + | 209.381i | −0.0974672 | + | 0.299973i | ||||
\(699\) | 594.004 | − | 797.682i | 0.849791 | − | 1.14118i | ||||
\(700\) | −74.0406 | − | 113.404i | −0.105772 | − | 0.162005i | ||||
\(701\) | 309.274i | 0.441190i | 0.975366 | + | 0.220595i | \(0.0707998\pi\) | ||||
−0.975366 | + | 0.220595i | \(0.929200\pi\) | |||||||
\(702\) | 476.795 | + | 372.795i | 0.679195 | + | 0.531046i | ||||
\(703\) | 206.232 | − | 283.855i | 0.293361 | − | 0.403776i | ||||
\(704\) | 7.49265 | − | 10.3127i | 0.0106430 | − | 0.0146488i | ||||
\(705\) | 676.177 | − | 192.569i | 0.959117 | − | 0.273147i | ||||
\(706\) | 72.5080 | − | 52.6801i | 0.102703 | − | 0.0746178i | ||||
\(707\) | 411.716 | 0.582342 | ||||||||
\(708\) | 307.746 | + | 3.61859i | 0.434669 | + | 0.00511100i | ||||
\(709\) | −152.491 | − | 469.319i | −0.215079 | − | 0.661944i | −0.999148 | − | 0.0412710i | \(-0.986859\pi\) |
0.784069 | − | 0.620673i | \(-0.213141\pi\) | |||||||
\(710\) | −238.800 | − | 84.2347i | −0.336338 | − | 0.118640i | ||||
\(711\) | −1069.26 | − | 25.1489i | −1.50388 | − | 0.0353712i | ||||
\(712\) | 287.753 | − | 93.4965i | 0.404147 | − | 0.131315i | ||||
\(713\) | 83.1286 | + | 255.844i | 0.116590 | + | 0.358827i | ||||
\(714\) | 218.148 | − | 154.608i | 0.305529 | − | 0.216538i | ||||
\(715\) | −103.985 | + | 71.6542i | −0.145433 | + | 0.100216i | ||||
\(716\) | −225.133 | + | 73.1501i | −0.314431 | + | 0.102165i | ||||
\(717\) | −488.370 | − | 5.74243i | −0.681129 | − | 0.00800897i | ||||
\(718\) | 57.7767i | 0.0804689i | ||||||||
\(719\) | 249.465 | + | 343.359i | 0.346961 | + | 0.477550i | 0.946458 | − | 0.322826i | \(-0.104633\pi\) |
−0.599498 | + | 0.800377i | \(0.704633\pi\) | |||||||
\(720\) | 179.789 | + | 8.72148i | 0.249706 | + | 0.0121132i | ||||
\(721\) | −354.766 | − | 257.752i | −0.492047 | − | 0.357493i | ||||
\(722\) | −247.032 | − | 179.479i | −0.342150 | − | 0.248586i | ||||
\(723\) | −443.881 | − | 626.305i | −0.613943 | − | 0.866258i | ||||
\(724\) | 258.152 | 0.356563 | ||||||||
\(725\) | 488.353 | + | 747.983i | 0.673591 | + | 1.03170i | ||||
\(726\) | −300.174 | + | 403.101i | −0.413463 | + | 0.555235i | ||||
\(727\) | −651.165 | − | 211.576i | −0.895688 | − | 0.291027i | −0.175232 | − | 0.984527i | \(-0.556067\pi\) |
−0.720456 | + | 0.693501i | \(0.756067\pi\) | |||||||
\(728\) | 98.2440 | + | 71.3784i | 0.134951 | + | 0.0980473i | ||||
\(729\) | −175.842 | − | 707.475i | −0.241210 | − | 0.970473i | ||||
\(730\) | −20.5538 | + | 823.432i | −0.0281559 | + | 1.12799i | ||||
\(731\) | 694.605 | + | 956.041i | 0.950212 | + | 1.30785i | ||||
\(732\) | 150.214 | − | 201.721i | 0.205210 | − | 0.275575i | ||||
\(733\) | −736.608 | − | 1013.85i | −1.00492 | − | 1.38316i | −0.922256 | − | 0.386579i | \(-0.873656\pi\) |
−0.0826661 | − | 0.996577i | \(-0.526344\pi\) | |||||||
\(734\) | 467.049 | − | 151.753i | 0.636306 | − | 0.206748i | ||||
\(735\) | 385.644 | − | 491.768i | 0.524686 | − | 0.669072i | ||||
\(736\) | −21.2789 | + | 65.4897i | −0.0289115 | + | 0.0889805i | ||||
\(737\) | 24.9363 | + | 76.7460i | 0.0338349 | + | 0.104133i | ||||
\(738\) | 162.859 | + | 235.614i | 0.220676 | + | 0.319260i | ||||
\(739\) | −332.312 | + | 1022.75i | −0.449677 | + | 1.38397i | 0.427594 | + | 0.903971i | \(0.359361\pi\) |
−0.877272 | + | 0.479994i | \(0.840639\pi\) | |||||||
\(740\) | 140.011 | − | 41.6596i | 0.189204 | − | 0.0562968i | ||||
\(741\) | 365.690 | − | 1082.02i | 0.493509 | − | 1.46022i | ||||
\(742\) | 113.638 | + | 156.409i | 0.153151 | + | 0.210794i | ||||
\(743\) | −1177.21 | −1.58440 | −0.792202 | − | 0.610258i | \(-0.791066\pi\) | ||||
−0.792202 | + | 0.610258i | \(0.791066\pi\) | |||||||
\(744\) | −2.20475 | + | 187.505i | −0.00296338 | + | 0.252023i | ||||
\(745\) | 165.626 | + | 240.357i | 0.222317 | + | 0.322626i | ||||
\(746\) | −158.030 | + | 217.510i | −0.211837 | + | 0.291569i | ||||
\(747\) | 378.200 | − | 1077.11i | 0.506292 | − | 1.44192i | ||||
\(748\) | −70.5176 | − | 22.9125i | −0.0942748 | − | 0.0306317i | ||||
\(749\) | 162.497i | 0.216952i | ||||||||
\(750\) | −516.661 | + | 119.629i | −0.688882 | + | 0.159506i | ||||
\(751\) | −1113.51 | −1.48270 | −0.741349 | − | 0.671119i | \(-0.765814\pi\) | ||||
−0.741349 | + | 0.671119i | \(0.765814\pi\) | |||||||
\(752\) | −57.9356 | + | 178.308i | −0.0770421 | + | 0.237111i | ||||
\(753\) | −330.774 | − | 1060.28i | −0.439276 | − | 1.40807i | ||||
\(754\) | −647.993 | − | 470.794i | −0.859407 | − | 0.624396i | ||||
\(755\) | −779.330 | + | 537.025i | −1.03223 | + | 0.711291i | ||||
\(756\) | −40.2656 | − | 140.618i | −0.0532614 | − | 0.186002i | ||||
\(757\) | − | 390.313i | − | 0.515606i | −0.966198 | − | 0.257803i | \(-0.917002\pi\) | ||
0.966198 | − | 0.257803i | \(-0.0829985\pi\) | |||||||
\(758\) | 275.698 | − | 200.306i | 0.363718 | − | 0.264256i | ||||
\(759\) | −18.6308 | + | 55.1256i | −0.0245464 | + | 0.0726292i | ||||
\(760\) | −96.8730 | − | 325.574i | −0.127464 | − | 0.428387i | ||||
\(761\) | 1070.12 | + | 347.702i | 1.40620 | + | 0.456901i | 0.911190 | − | 0.411987i | \(-0.135165\pi\) |
0.495008 | + | 0.868889i | \(0.335165\pi\) | |||||||
\(762\) | 260.511 | − | 770.812i | 0.341878 | − | 1.01156i | ||||
\(763\) | 486.598 | − | 158.105i | 0.637743 | − | 0.207215i | ||||
\(764\) | −79.8780 | − | 25.9539i | −0.104552 | − | 0.0339711i | ||||
\(765\) | −274.914 | − | 1010.26i | −0.359365 | − | 1.32061i | ||||
\(766\) | 185.650 | + | 571.370i | 0.242362 | + | 0.745914i | ||||
\(767\) | 657.769 | − | 477.897i | 0.857587 | − | 0.623073i | ||||
\(768\) | −28.6683 | + | 38.4984i | −0.0373285 | + | 0.0501281i | ||||
\(769\) | −532.417 | + | 386.824i | −0.692350 | + | 0.503022i | −0.877432 | − | 0.479701i | \(-0.840745\pi\) |
0.185082 | + | 0.982723i | \(0.440745\pi\) | |||||||
\(770\) | 30.5095 | + | 0.761551i | 0.0396227 | + | 0.000989028i | ||||
\(771\) | −576.820 | + | 179.950i | −0.748146 | + | 0.233399i | ||||
\(772\) | −146.807 | + | 202.062i | −0.190164 | + | 0.261738i | ||||
\(773\) | 184.504 | − | 567.843i | 0.238685 | − | 0.734597i | −0.757926 | − | 0.652340i | \(-0.773787\pi\) |
0.996611 | − | 0.0822566i | \(-0.0262127\pi\) | |||||||
\(774\) | 619.348 | − | 185.256i | 0.800191 | − | 0.239348i | ||||
\(775\) | −144.298 | − | 533.303i | −0.186191 | − | 0.688133i | ||||
\(776\) | 378.014i | 0.487131i | ||||||||
\(777\) | −68.6381 | − | 96.8466i | −0.0883373 | − | 0.124642i | ||||
\(778\) | 489.434 | − | 673.648i | 0.629092 | − | 0.865872i | ||||
\(779\) | 317.703 | − | 437.281i | 0.407835 | − | 0.561337i | ||||
\(780\) | 394.702 | − | 265.193i | 0.506028 | − | 0.339991i | ||||
\(781\) | 46.1635 | − | 33.5397i | 0.0591082 | − | 0.0429446i | ||||
\(782\) | 400.535 | 0.512194 | ||||||||
\(783\) | 265.582 | + | 927.478i | 0.339185 | + | 1.18452i | ||||
\(784\) | 51.4983 | + | 158.496i | 0.0656867 | + | 0.202163i | ||||
\(785\) | 217.081 | + | 315.029i | 0.276537 | + | 0.401310i | ||||
\(786\) | 19.3239 | − | 13.6954i | 0.0245851 | − | 0.0174242i | ||||
\(787\) | −892.259 | + | 289.913i | −1.13375 | + | 0.368377i | −0.814999 | − | 0.579463i | \(-0.803262\pi\) |
−0.318748 | + | 0.947839i | \(0.603262\pi\) | |||||||
\(788\) | −152.823 | − | 470.342i | −0.193938 | − | 0.596881i | ||||
\(789\) | 175.650 | + | 247.838i | 0.222624 | + | 0.314117i | ||||
\(790\) | −279.535 | + | 792.463i | −0.353841 | + | 1.00312i | ||||
\(791\) | 248.500 | − | 80.7425i | 0.314159 | − | 0.102076i | ||||
\(792\) | −24.6065 | + | 32.2453i | −0.0310688 | + | 0.0407137i | ||||
\(793\) | − | 664.421i | − | 0.837857i | ||||||
\(794\) | −63.8256 | − | 87.8484i | −0.0803848 | − | 0.110640i | ||||
\(795\) | 728.096 | − | 207.355i | 0.915844 | − | 0.260824i | ||||
\(796\) | −214.860 | − | 156.105i | −0.269924 | − | 0.196111i | ||||
\(797\) | 128.891 | + | 93.6449i | 0.161720 | + | 0.117497i | 0.665702 | − | 0.746218i | \(-0.268132\pi\) |
−0.503982 | + | 0.863714i | \(0.668132\pi\) | |||||||
\(798\) | −225.202 | + | 159.607i | −0.282208 | + | 0.200009i | ||||
\(799\) | 1090.53 | 1.36487 | ||||||||
\(800\) | 50.3575 | − | 132.152i | 0.0629469 | − | 0.165190i | ||||
\(801\) | −922.366 | + | 275.892i | −1.15152 | + | 0.344435i | ||||
\(802\) | −296.788 | − | 96.4322i | −0.370060 | − | 0.120240i | ||||
\(803\) | −150.163 | − | 109.100i | −0.187002 | − | 0.135865i | ||||
\(804\) | −90.4938 | − | 290.073i | −0.112554 | − | 0.360787i | ||||
\(805\) | −158.015 | + | 47.0167i | −0.196292 | + | 0.0584058i | ||||
\(806\) | 291.176 | + | 400.769i | 0.361260 | + | 0.497232i | ||||
\(807\) | 723.793 | + | 538.981i | 0.896893 | + | 0.667883i | ||||
\(808\) | 252.699 | + | 347.810i | 0.312746 | + | 0.430458i | ||||
\(809\) | −264.577 | + | 85.9661i | −0.327042 | + | 0.106262i | −0.467936 | − | 0.883762i | \(-0.655002\pi\) |
0.140894 | + | 0.990025i | \(0.455002\pi\) | |||||||
\(810\) | −571.273 | − | 41.1956i | −0.705275 | − | 0.0508587i | ||||
\(811\) | 163.579 | − | 503.443i | 0.201700 | − | 0.620769i | −0.798133 | − | 0.602482i | \(-0.794179\pi\) |
0.999833 | − | 0.0182871i | \(-0.00582130\pi\) | |||||||
\(812\) | 59.8168 | + | 184.097i | 0.0736660 | + | 0.226721i | ||||
\(813\) | −372.004 | − | 125.726i | −0.457570 | − | 0.154645i | ||||
\(814\) | −10.1720 | + | 31.3062i | −0.0124963 | + | 0.0384597i | ||||
\(815\) | 375.985 | − | 491.237i | 0.461332 | − | 0.602745i | ||||
\(816\) | 264.502 | + | 89.3937i | 0.324145 | + | 0.109551i | ||||
\(817\) | −717.065 | − | 986.956i | −0.877681 | − | 1.20802i | ||||
\(818\) | −150.288 | −0.183726 | ||||||||
\(819\) | −307.184 | − | 234.413i | −0.375071 | − | 0.286218i | ||||
\(820\) | 215.688 | − | 64.1771i | 0.263035 | − | 0.0782648i | ||||
\(821\) | −341.419 | + | 469.923i | −0.415858 | + | 0.572379i | −0.964635 | − | 0.263590i | \(-0.915094\pi\) |
0.548777 | + | 0.835969i | \(0.315094\pi\) | |||||||
\(822\) | −466.270 | + | 145.462i | −0.567239 | + | 0.176961i | ||||
\(823\) | 369.062 | + | 119.916i | 0.448435 | + | 0.145705i | 0.524524 | − | 0.851396i | \(-0.324243\pi\) |
−0.0760888 | + | 0.997101i | \(0.524243\pi\) | |||||||
\(824\) | − | 457.900i | − | 0.555704i | ||||||
\(825\) | 43.8637 | − | 111.164i | 0.0531682 | − | 0.134745i | ||||
\(826\) | −196.492 | −0.237883 | ||||||||
\(827\) | −120.659 | + | 371.350i | −0.145900 | + | 0.449032i | −0.997126 | − | 0.0757667i | \(-0.975860\pi\) |
0.851226 | + | 0.524799i | \(0.175860\pi\) | |||||||
\(828\) | 72.5902 | − | 206.737i | 0.0876693 | − | 0.249683i | ||||
\(829\) | 838.932 | + | 609.519i | 1.01198 | + | 0.735247i | 0.964623 | − | 0.263631i | \(-0.0849203\pi\) |
0.0473567 | + | 0.998878i | \(0.484920\pi\) | |||||||
\(830\) | −712.236 | − | 545.134i | −0.858116 | − | 0.656788i | ||||
\(831\) | −968.331 | − | 11.3860i | −1.16526 | − | 0.0137016i | ||||
\(832\) | 126.805i | 0.152409i | ||||||||
\(833\) | 784.229 | − | 569.776i | 0.941452 | − | 0.684005i | ||||
\(834\) | 620.418 | + | 209.682i | 0.743906 | + | 0.251418i | ||||
\(835\) | −292.639 | + | 829.614i | −0.350466 | + | 0.993550i | ||||
\(836\) | 72.7978 | + | 23.6534i | 0.0870787 | + | 0.0282936i | ||||
\(837\) | 21.0426 | − | 596.307i | 0.0251405 | − | 0.712434i | ||||
\(838\) | 888.153 | − | 288.579i | 1.05985 | − | 0.344366i | ||||
\(839\) | 677.194 | + | 220.034i | 0.807144 | + | 0.262257i | 0.683388 | − | 0.730056i | \(-0.260506\pi\) |
0.123756 | + | 0.992313i | \(0.460506\pi\) | |||||||
\(840\) | −114.842 | − | 4.21819i | −0.136717 | − | 0.00502166i | ||||
\(841\) | −134.654 | − | 414.421i | −0.160111 | − | 0.492772i | ||||
\(842\) | 452.407 | − | 328.693i | 0.537300 | − | 0.390371i | ||||
\(843\) | 738.084 | + | 549.623i | 0.875544 | + | 0.651985i | ||||
\(844\) | 506.072 | − | 367.683i | 0.599611 | − | 0.435643i | ||||
\(845\) | 136.788 | − | 387.785i | 0.161879 | − | 0.458917i | ||||
\(846\) | 197.640 | − | 562.879i | 0.233617 | − | 0.665342i | ||||
\(847\) | 188.605 | − | 259.592i | 0.222674 | − | 0.306484i | ||||
\(848\) | −62.3841 | + | 191.999i | −0.0735662 | + | 0.226413i | ||||
\(849\) | 608.804 | + | 453.354i | 0.717084 | + | 0.533985i | ||||
\(850\) | −821.577 | − | 41.0406i | −0.966561 | − | 0.0482830i | ||||
\(851\) | − | 177.817i | − | 0.208951i | ||||||
\(852\) | −175.302 | + | 124.242i | −0.205754 | + | 0.145824i | ||||
\(853\) | 116.328 | − | 160.112i | 0.136375 | − | 0.187704i | −0.735367 | − | 0.677669i | \(-0.762990\pi\) |
0.871742 | + | 0.489965i | \(0.162990\pi\) | |||||||
\(854\) | −94.3822 | + | 129.906i | −0.110518 | + | 0.152115i | ||||
\(855\) | 283.804 | + | 1042.93i | 0.331934 | + | 1.21980i | ||||
\(856\) | −137.274 | + | 99.7356i | −0.160367 | + | 0.116514i | ||||
\(857\) | −584.566 | −0.682107 | −0.341054 | − | 0.940044i | \(-0.610784\pi\) | ||||
−0.341054 | + | 0.940044i | \(0.610784\pi\) | |||||||
\(858\) | −1.25987 | + | 107.146i | −0.00146838 | + | 0.124879i | ||||
\(859\) | 186.893 | + | 575.198i | 0.217571 | + | 0.669614i | 0.998961 | + | 0.0455712i | \(0.0145108\pi\) |
−0.781390 | + | 0.624042i | \(0.785489\pi\) | |||||||
\(860\) | 12.6740 | − | 507.749i | 0.0147372 | − | 0.590406i | ||||
\(861\) | −105.738 | − | 149.193i | −0.122808 | − | 0.173279i | ||||
\(862\) | −209.202 | + | 67.9737i | −0.242693 | + | 0.0788558i | ||||
\(863\) | −263.066 | − | 809.635i | −0.304828 | − | 0.938164i | −0.979741 | − | 0.200267i | \(-0.935819\pi\) |
0.674914 | − | 0.737897i | \(-0.264181\pi\) | |||||||
\(864\) | 94.0772 | − | 120.322i | 0.108886 | − | 0.139262i | ||||
\(865\) | 10.3830 | + | 34.8954i | 0.0120034 | + | 0.0403415i | ||||
\(866\) | −721.856 | + | 234.545i | −0.833552 | + | 0.270837i | ||||
\(867\) | 8.90065 | − | 756.963i | 0.0102660 | − | 0.873083i | ||||
\(868\) | − | 119.720i | − | 0.137926i | ||||||
\(869\) | −111.302 | − | 153.195i | −0.128081 | − | 0.176288i | ||||
\(870\) | 757.471 | + | 27.8222i | 0.870657 | + | 0.0319795i | ||||
\(871\) | −649.420 | − | 471.831i | −0.745603 | − | 0.541712i | ||||
\(872\) | 432.224 | + | 314.029i | 0.495669 | + | 0.360125i | ||||
\(873\) | 28.2828 | − | 1202.50i | 0.0323972 | − | 1.37743i | ||||
\(874\) | −413.487 | −0.473097 | ||||||||
\(875\) | 328.938 | − | 80.2496i | 0.375929 | − | 0.0917138i | ||||
\(876\) | 560.571 | + | 417.436i | 0.639921 | + | 0.476525i | ||||
\(877\) | 1245.95 | + | 404.834i | 1.42070 | + | 0.461612i | 0.915824 | − | 0.401581i | \(-0.131539\pi\) |
0.504873 | + | 0.863193i | \(0.331539\pi\) | |||||||
\(878\) | −656.189 | − | 476.749i | −0.747368 | − | 0.542995i | ||||
\(879\) | 948.371 | − | 295.863i | 1.07892 | − | 0.336590i | ||||
\(880\) | 18.0824 | + | 26.2412i | 0.0205482 | + | 0.0298196i | ||||
\(881\) | 348.486 | + | 479.650i | 0.395558 | + | 0.544438i | 0.959622 | − | 0.281292i | \(-0.0907631\pi\) |
−0.564065 | + | 0.825731i | \(0.690763\pi\) | |||||||
\(882\) | −151.963 | − | 508.044i | −0.172293 | − | 0.576013i | ||||
\(883\) | −393.287 | − | 541.314i | −0.445399 | − | 0.613039i | 0.526002 | − | 0.850483i | \(-0.323690\pi\) |
−0.971401 | + | 0.237444i | \(0.923690\pi\) | |||||||
\(884\) | 701.481 | − | 227.925i | 0.793530 | − | 0.257834i | ||||
\(885\) | −264.463 | + | 722.539i | −0.298828 | + | 0.816429i | ||||
\(886\) | −148.363 | + | 456.614i | −0.167452 | + | 0.515365i | ||||
\(887\) | 384.779 | + | 1184.23i | 0.433798 | + | 1.33509i | 0.894313 | + | 0.447442i | \(0.147665\pi\) |
−0.460515 | + | 0.887652i | \(0.652335\pi\) | |||||||
\(888\) | 39.6863 | − | 117.426i | 0.0446917 | − | 0.132236i | ||||
\(889\) | −160.524 | + | 494.041i | −0.180567 | + | 0.555727i | ||||
\(890\) | −18.8748 | + | 756.167i | −0.0212076 | + | 0.849626i | ||||
\(891\) | 80.6882 | − | 100.734i | 0.0905591 | − | 0.113058i | ||||
\(892\) | −167.667 | − | 230.774i | −0.187968 | − | 0.258715i | ||||
\(893\) | −1125.79 | −1.26069 | ||||||||
\(894\) | 247.665 | + | 2.91214i | 0.277030 | + | 0.00325742i | ||||
\(895\) | 14.7673 | − | 591.612i | 0.0164998 | − | 0.661019i | ||||
\(896\) | 18.0128 | − | 24.7925i | 0.0201036 | − | 0.0276702i | ||||
\(897\) | −172.386 | − | 552.574i | −0.192181 | − | 0.616024i | ||||
\(898\) | 381.798 | + | 124.054i | 0.425165 | + | 0.138144i | ||||
\(899\) | 789.640i | 0.878354i | ||||||||
\(900\) | −170.080 | + | 416.621i | −0.188978 | + | 0.462912i | ||||
\(901\) | 1174.26 | 1.30329 | ||||||||
\(902\) | −15.6701 | + | 48.2276i | −0.0173726 | + | 0.0534674i | ||||
\(903\) | −394.000 | + | 122.916i | −0.436324 | + | 0.136120i | ||||
\(904\) | 220.731 | + | 160.371i | 0.244172 | + | 0.177401i | ||||
\(905\) | −214.687 | + | 608.625i | −0.237224 | + | 0.672514i | ||||
\(906\) | −9.44228 | + | 803.027i | −0.0104219 | + | 0.886343i | ||||
\(907\) | − | 60.8076i | − | 0.0670425i | −0.999438 | − | 0.0335213i | \(-0.989328\pi\) | ||
0.999438 | − | 0.0335213i | \(-0.0106721\pi\) | |||||||
\(908\) | −415.320 | + | 301.748i | −0.457401 | + | 0.332321i | ||||
\(909\) | −777.837 | − | 1125.33i | −0.855707 | − | 1.23798i | ||||
\(910\) | −249.986 | + | 172.262i | −0.274710 | + | 0.189299i | ||||
\(911\) | 288.931 | + | 93.8793i | 0.317158 | + | 0.103051i | 0.463270 | − | 0.886217i | \(-0.346676\pi\) |
−0.146112 | + | 0.989268i | \(0.546676\pi\) | |||||||
\(912\) | −273.055 | − | 92.2843i | −0.299403 | − | 0.101189i | ||||
\(913\) | 192.220 | − | 62.4559i | 0.210536 | − | 0.0684074i | ||||
\(914\) | 845.322 | + | 274.662i | 0.924860 | + | 0.300505i | ||||
\(915\) | 350.659 | + | 521.906i | 0.383234 | + | 0.570389i | ||||
\(916\) | −143.033 | − | 440.210i | −0.156149 | − | 0.480579i | ||||
\(917\) | −12.2335 | + | 8.88819i | −0.0133408 | + | 0.00969268i | ||||
\(918\) | −834.720 | − | 304.160i | −0.909281 | − | 0.331329i | ||||
\(919\) | 72.1242 | − | 52.4013i | 0.0784812 | − | 0.0570199i | −0.547853 | − | 0.836575i | \(-0.684555\pi\) |
0.626334 | + | 0.779555i | \(0.284555\pi\) | |||||||
\(920\) | −136.704 | − | 104.631i | −0.148591 | − | 0.113729i | ||||
\(921\) | −399.200 | − | 1279.61i | −0.433442 | − | 1.38937i | ||||
\(922\) | 404.581 | − | 556.859i | 0.438808 | − | 0.603968i | ||||
\(923\) | −175.405 | + | 539.841i | −0.190038 | + | 0.584876i | ||||
\(924\) | 15.4667 | − | 20.7701i | 0.0167388 | − | 0.0224784i | ||||
\(925\) | −18.2199 | + | 364.739i | −0.0196972 | + | 0.394312i | ||||
\(926\) | − | 586.958i | − | 0.633864i | ||||||
\(927\) | −34.2598 | + | 1456.63i | −0.0369577 | + | 1.57133i | ||||
\(928\) | −118.808 | + | 163.525i | −0.128026 | + | 0.176213i | ||||
\(929\) | 576.140 | − | 792.988i | 0.620172 | − | 0.853594i | −0.377193 | − | 0.926135i | \(-0.623111\pi\) |
0.997365 | + | 0.0725410i | \(0.0231108\pi\) | |||||||
\(930\) | −440.233 | − | 161.133i | −0.473368 | − | 0.173261i | ||||
\(931\) | −809.588 | + | 588.200i | −0.869590 | + | 0.631794i | ||||
\(932\) | −663.036 | −0.711412 | ||||||||
\(933\) | −1248.04 | − | 14.6750i | −1.33767 | − | 0.0157288i | ||||
\(934\) | −347.323 | − | 1068.95i | −0.371866 | − | 1.14449i | ||||
\(935\) | 112.664 | − | 147.199i | 0.120496 | − | 0.157432i | ||||
\(936\) | 9.48745 | − | 403.378i | 0.0101362 | − | 0.430960i | ||||
\(937\) | 511.887 | − | 166.322i | 0.546304 | − | 0.177505i | −0.0228455 | − | 0.999739i | \(-0.507273\pi\) |
0.569149 | + | 0.822234i | \(0.307273\pi\) | |||||||
\(938\) | 59.9486 | + | 184.503i | 0.0639111 | + | 0.196698i | ||||
\(939\) | −67.1696 | + | 47.6051i | −0.0715331 | + | 0.0506977i | ||||
\(940\) | −372.201 | − | 284.877i | −0.395958 | − | 0.303060i | ||||
\(941\) | −1460.60 | + | 474.577i | −1.55218 | + | 0.504333i | −0.954704 | − | 0.297556i | \(-0.903829\pi\) |
−0.597473 | + | 0.801889i | \(0.703829\pi\) | |||||||
\(942\) | 324.607 | + | 3.81685i | 0.344594 | + | 0.00405186i | ||||
\(943\) | − | 273.930i | − | 0.290488i | ||||||
\(944\) | −120.601 | − | 165.993i | −0.127755 | − | 0.175840i | ||||
\(945\) | 365.009 | + | 22.0109i | 0.386253 | + | 0.0232920i | ||||
\(946\) | 92.5942 | + | 67.2736i | 0.0978797 | + | 0.0711138i | ||||
\(947\) | −627.137 | − | 455.641i | −0.662235 | − | 0.481142i | 0.205182 | − | 0.978724i | \(-0.434221\pi\) |
−0.867417 | + | 0.497582i | \(0.834221\pi\) | |||||||
\(948\) | 412.300 | + | 581.745i | 0.434916 | + | 0.613655i | ||||
\(949\) | 1846.39 | 1.94561 | ||||||||
\(950\) | 848.143 | + | 42.3677i | 0.892783 | + | 0.0445976i | ||||
\(951\) | −1035.86 | + | 1391.05i | −1.08923 | + | 1.46272i | ||||
\(952\) | −169.529 | − | 55.0833i | −0.178077 | − | 0.0578606i | ||||
\(953\) | 340.354 | + | 247.282i | 0.357140 | + | 0.259477i | 0.751858 | − | 0.659325i | \(-0.229158\pi\) |
−0.394718 | + | 0.918802i | \(0.629158\pi\) | |||||||
\(954\) | 212.815 | − | 606.099i | 0.223077 | − | 0.635324i | ||||
\(955\) | 127.619 | − | 166.738i | 0.133632 | − | 0.174595i | ||||
\(956\) | 191.384 | + | 263.418i | 0.200193 | + | 0.275542i | ||||
\(957\) | −102.014 | + | 136.994i | −0.106598 | + | 0.143150i | ||||
\(958\) | −251.682 | − | 346.410i | −0.262716 | − | 0.361597i | ||||
\(959\) | 296.575 | − | 96.3629i | 0.309254 | − | 0.100483i | ||||
\(960\) | −66.9232 | − | 99.6056i | −0.0697117 | − | 0.103756i | ||||
\(961\) | −146.049 | + | 449.493i | −0.151976 | + | 0.467735i | ||||
\(962\) | −101.187 | − | 311.422i | −0.105184 | − | 0.323723i | ||||
\(963\) | 444.146 | − | 306.998i | 0.461210 | − | 0.318794i | ||||
\(964\) | −158.145 | + | 486.720i | −0.164051 | + | 0.504896i | ||||
\(965\) | −354.297 | − | 514.156i | −0.367147 | − | 0.532804i | ||||
\(966\) | −44.7896 | + | 132.526i | −0.0463660 | + | 0.137190i | ||||
\(967\) | −466.301 | − | 641.808i | −0.482214 | − | 0.663710i | 0.496715 | − | 0.867914i | \(-0.334540\pi\) |
−0.978928 | + | 0.204204i | \(0.934540\pi\) | |||||||
\(968\) | 335.058 | 0.346135 | ||||||||
\(969\) | −19.7119 | + | 1676.41i | −0.0203425 | + | 1.73005i | ||||
\(970\) | −891.214 | − | 314.368i | −0.918778 | − | 0.324091i | ||||
\(971\) | 792.099 | − | 1090.23i | 0.815756 | − | 1.12279i | −0.174653 | − | 0.984630i | \(-0.555880\pi\) |
0.990410 | − | 0.138162i | \(-0.0441196\pi\) | |||||||
\(972\) | −308.272 | + | 375.719i | −0.317152 | + | 0.386542i | ||||
\(973\) | −397.648 | − | 129.204i | −0.408683 | − | 0.132789i | ||||
\(974\) | 1142.60i | 1.17310i | ||||||||
\(975\) | 296.979 | + | 1151.10i | 0.304594 | + | 1.18062i | ||||
\(976\) | −167.671 | −0.171794 | ||||||||
\(977\) | −298.849 | + | 919.762i | −0.305884 | + | 0.941414i | 0.673462 | + | 0.739222i | \(0.264807\pi\) |
−0.979346 | + | 0.202192i | \(0.935193\pi\) | |||||||
\(978\) | −156.325 | − | 501.090i | −0.159841 | − | 0.512362i | ||||
\(979\) | −137.896 | − | 100.187i | −0.140854 | − | 0.102337i | ||||
\(980\) | −416.501 | − | 10.3963i | −0.425001 | − | 0.0106085i | ||||
\(981\) | −1351.45 | − | 1031.30i | −1.37763 | − | 1.05127i | ||||
\(982\) | 507.784i | 0.517091i | ||||||||
\(983\) | 633.042 | − | 459.932i | 0.643990 | − | 0.467886i | −0.217229 | − | 0.976121i | \(-0.569702\pi\) |
0.861219 | + | 0.508234i | \(0.169702\pi\) | |||||||
\(984\) | 61.1371 | − | 180.896i | 0.0621312 | − | 0.183837i | ||||
\(985\) | 1235.98 | + | 30.8515i | 1.25480 | + | 0.0313214i | ||||
\(986\) | 1118.17 | + | 363.316i | 1.13405 | + | 0.368475i | ||||
\(987\) | −121.948 | + | 360.825i | −0.123554 | + | 0.365578i | ||||
\(988\) | −724.164 | + | 235.295i | −0.732959 | + | 0.238153i | ||||
\(989\) | −588.007 | − | 191.055i | −0.594547 | − | 0.193180i | ||||
\(990\) | −55.5587 | − | 84.8290i | −0.0561199 | − | 0.0856858i | ||||
\(991\) | 146.977 | + | 452.348i | 0.148312 | + | 0.456456i | 0.997422 | − | 0.0717592i | \(-0.0228613\pi\) |
−0.849110 | + | 0.528216i | \(0.822861\pi\) | |||||||
\(992\) | 101.137 | − | 73.4802i | 0.101952 | − | 0.0740728i | ||||
\(993\) | 567.827 | − | 762.529i | 0.571830 | − | 0.767905i | ||||
\(994\) | 110.980 | − | 80.6318i | 0.111650 | − | 0.0811186i | ||||
\(995\) | 546.720 | − | 376.736i | 0.549467 | − | 0.378629i | ||||
\(996\) | −726.522 | + | 226.653i | −0.729439 | + | 0.227563i | ||||
\(997\) | −408.159 | + | 561.782i | −0.409387 | + | 0.563473i | −0.963069 | − | 0.269256i | \(-0.913222\pi\) |
0.553682 | + | 0.832728i | \(0.313222\pi\) | |||||||
\(998\) | −300.870 | + | 925.982i | −0.301473 | + | 0.927838i | ||||
\(999\) | −135.032 | + | 370.574i | −0.135167 | + | 0.370944i |
(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 | 150.3.i.a.29.20 | yes | 80 | |
3.2 | odd | 2 | inner | 150.3.i.a.29.5 | ✓ | 80 | |
25.19 | even | 10 | inner | 150.3.i.a.119.5 | yes | 80 | |
75.44 | odd | 10 | inner | 150.3.i.a.119.20 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.3.i.a.29.5 | ✓ | 80 | 3.2 | odd | 2 | inner | |
150.3.i.a.29.20 | yes | 80 | 1.1 | even | 1 | trivial | |
150.3.i.a.119.5 | yes | 80 | 25.19 | even | 10 | inner | |
150.3.i.a.119.20 | yes | 80 | 75.44 | odd | 10 | inner |