Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [810,2,Mod(17,810)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(810, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([22, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("810.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 810 = 2 \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 810.s (of order \(36\), degree \(12\), not 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: | \(6.46788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 270) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 557.14 | ||
Character | \(\chi\) | \(=\) | 810.557 |
Dual form | 810.2.s.a.413.14 |
$q$-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 \(\left(\mathbb{Z}/810\mathbb{Z}\right)^\times\).
\(n\) | \(487\) | \(731\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{17}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.819152 | + | 0.573576i | 0.579228 | + | 0.405580i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.342020 | + | 0.939693i | 0.171010 | + | 0.469846i | ||||
\(5\) | −0.160152 | + | 2.23033i | −0.0716221 | + | 0.997432i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.92341 | + | 4.12477i | 0.726981 | + | 1.55902i | 0.825834 | + | 0.563913i | \(0.190705\pi\) |
−0.0988531 | + | 0.995102i | \(0.531517\pi\) | |||||||
\(8\) | −0.258819 | + | 0.965926i | −0.0915064 | + | 0.341506i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.41045 | + | 1.73512i | −0.446024 | + | 0.548692i | ||||
\(11\) | 0.0108394 | + | 0.0129179i | 0.00326820 | + | 0.00389489i | 0.767676 | − | 0.640838i | \(-0.221413\pi\) |
−0.764408 | + | 0.644733i | \(0.776969\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.70362 | − | 2.43302i | −0.472499 | − | 0.674799i | 0.510190 | − | 0.860062i | \(-0.329575\pi\) |
−0.982689 | + | 0.185263i | \(0.940686\pi\) | |||||||
\(14\) | −0.790304 | + | 4.48203i | −0.211218 | + | 1.19787i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | −0.126008 | − | 0.470270i | −0.0305615 | − | 0.114057i | 0.948960 | − | 0.315396i | \(-0.102137\pi\) |
−0.979522 | + | 0.201339i | \(0.935471\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.44011 | − | 1.40880i | 0.559799 | − | 0.323200i | −0.193266 | − | 0.981146i | \(-0.561908\pi\) |
0.753065 | + | 0.657946i | \(0.228575\pi\) | |||||||
\(20\) | −2.15060 | + | 0.612323i | −0.480888 | + | 0.136919i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.00146971 | + | 0.0167989i | 0.000313344 | + | 0.00358154i | ||||
\(23\) | −5.98777 | − | 2.79214i | −1.24854 | − | 0.582202i | −0.317892 | − | 0.948127i | \(-0.602975\pi\) |
−0.930645 | + | 0.365925i | \(0.880753\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.94870 | − | 0.714382i | −0.989741 | − | 0.142876i | ||||
\(26\) | − | 2.97017i | − | 0.582499i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −3.21817 | + | 3.21817i | −0.608177 | + | 0.608177i | ||||
\(29\) | 1.01729 | + | 5.76933i | 0.188906 | + | 1.07134i | 0.920834 | + | 0.389956i | \(0.127510\pi\) |
−0.731928 | + | 0.681382i | \(0.761379\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.13283 | + | 1.50423i | −0.742279 | + | 0.270167i | −0.685353 | − | 0.728211i | \(-0.740352\pi\) |
−0.0569257 | + | 0.998378i | \(0.518130\pi\) | |||||||
\(32\) | −0.996195 | + | 0.0871557i | −0.176104 | + | 0.0154071i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.166516 | − | 0.457498i | 0.0285572 | − | 0.0784602i | ||||
\(35\) | −9.50761 | + | 3.62924i | −1.60708 | + | 0.613454i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9.53706 | − | 2.55545i | 1.56788 | − | 0.420113i | 0.632734 | − | 0.774369i | \(-0.281933\pi\) |
0.935148 | + | 0.354256i | \(0.115266\pi\) | |||||||
\(38\) | 2.80687 | + | 0.245569i | 0.455335 | + | 0.0398366i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.11288 | − | 0.731946i | −0.334075 | − | 0.115731i | ||||
\(41\) | 9.02018 | + | 1.59050i | 1.40871 | + | 0.248394i | 0.825719 | − | 0.564081i | \(-0.190769\pi\) |
0.582995 | + | 0.812475i | \(0.301881\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.278251 | − | 3.18042i | 0.0424328 | − | 0.485010i | −0.945011 | − | 0.327039i | \(-0.893949\pi\) |
0.987444 | − | 0.157971i | \(-0.0504952\pi\) | |||||||
\(44\) | −0.00843154 | + | 0.0146039i | −0.00127110 | + | 0.00220162i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.30339 | − | 5.72164i | −0.487058 | − | 0.843609i | ||||
\(47\) | 2.19479 | − | 1.02345i | 0.320143 | − | 0.149285i | −0.255903 | − | 0.966702i | \(-0.582373\pi\) |
0.576046 | + | 0.817417i | \(0.304595\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −8.81468 | + | 10.5049i | −1.25924 | + | 1.50070i | ||||
\(50\) | −3.64399 | − | 3.42365i | −0.515338 | − | 0.484177i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.70362 | − | 2.43302i | 0.236250 | − | 0.337400i | ||||
\(53\) | 2.06177 | + | 2.06177i | 0.283206 | + | 0.283206i | 0.834386 | − | 0.551180i | \(-0.185822\pi\) |
−0.551180 | + | 0.834386i | \(0.685822\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.0305470 | + | 0.0221065i | −0.00411896 | + | 0.00298084i | ||||
\(56\) | −4.48203 | + | 0.790304i | −0.598937 | + | 0.105609i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.47584 | + | 5.30945i | −0.325093 | + | 0.697165i | ||||
\(59\) | 10.6270 | + | 8.91708i | 1.38351 | + | 1.16090i | 0.967892 | + | 0.251366i | \(0.0808799\pi\) |
0.415620 | + | 0.909538i | \(0.363565\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.02715 | − | 1.82973i | −0.643660 | − | 0.234273i | −0.000494160 | − | 1.00000i | \(-0.500157\pi\) |
−0.643166 | + | 0.765727i | \(0.722380\pi\) | |||||||
\(62\) | −4.24821 | − | 1.13830i | −0.539523 | − | 0.144565i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | 5.69927 | − | 3.40998i | 0.706907 | − | 0.422955i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.68053 | + | 6.07817i | −1.06050 | + | 0.742567i | −0.967442 | − | 0.253094i | \(-0.918552\pi\) |
−0.0930537 | + | 0.995661i | \(0.529663\pi\) | |||||||
\(68\) | 0.398812 | − | 0.279251i | 0.0483630 | − | 0.0338641i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −9.86983 | − | 2.48044i | −1.17967 | − | 0.296469i | ||||
\(71\) | 12.0016 | + | 6.92911i | 1.42433 | + | 0.822335i | 0.996665 | − | 0.0816050i | \(-0.0260046\pi\) |
0.427660 | + | 0.903939i | \(0.359338\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.59443 | + | 0.695176i | 0.303655 | + | 0.0813641i | 0.407429 | − | 0.913237i | \(-0.366425\pi\) |
−0.103774 | + | 0.994601i | \(0.533092\pi\) | |||||||
\(74\) | 9.27805 | + | 3.37693i | 1.07855 | + | 0.392560i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.15840 | + | 1.81111i | 0.247586 | + | 0.207749i | ||||
\(77\) | −0.0324346 | + | 0.0695563i | −0.00369627 | + | 0.00792668i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.13381 | − | 0.905230i | 0.577599 | − | 0.101846i | 0.122786 | − | 0.992433i | \(-0.460817\pi\) |
0.454813 | + | 0.890587i | \(0.349706\pi\) | |||||||
\(80\) | −1.31094 | − | 1.81147i | −0.146568 | − | 0.202529i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.47662 | + | 6.47662i | 0.715223 | + | 0.715223i | ||||
\(83\) | 2.30261 | − | 3.28847i | 0.252744 | − | 0.360956i | −0.672651 | − | 0.739960i | \(-0.734844\pi\) |
0.925395 | + | 0.379004i | \(0.123733\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.06904 | − | 0.205725i | 0.115953 | − | 0.0223140i | ||||
\(86\) | 2.05214 | − | 2.44565i | 0.221288 | − | 0.263721i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.0152831 | + | 0.00712665i | −0.00162919 | + | 0.000759703i | ||||
\(89\) | −8.88641 | − | 15.3917i | −0.941957 | − | 1.63152i | −0.761731 | − | 0.647893i | \(-0.775650\pi\) |
−0.180226 | − | 0.983625i | \(-0.557683\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.75889 | − | 11.7067i | 0.708524 | − | 1.22720i | ||||
\(92\) | 0.575818 | − | 6.58163i | 0.0600332 | − | 0.686183i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.38489 | + | 0.420520i | 0.245983 | + | 0.0433734i | ||||
\(95\) | 2.75129 | + | 5.66785i | 0.282276 | + | 0.581510i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −14.2908 | − | 1.25028i | −1.45101 | − | 0.126947i | −0.665779 | − | 0.746149i | \(-0.731901\pi\) |
−0.785232 | + | 0.619202i | \(0.787456\pi\) | |||||||
\(98\) | −13.2459 | + | 3.54924i | −1.33804 | + | 0.358527i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.02126 | − | 4.89459i | −0.102126 | − | 0.489459i | ||||
\(101\) | 0.426678 | − | 1.17229i | 0.0424560 | − | 0.116647i | −0.916653 | − | 0.399684i | \(-0.869120\pi\) |
0.959109 | + | 0.283037i | \(0.0913420\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.9527 | − | 1.22071i | 1.37480 | − | 0.120280i | 0.624321 | − | 0.781168i | \(-0.285376\pi\) |
0.750484 | + | 0.660888i | \(0.229820\pi\) | |||||||
\(104\) | 2.79105 | − | 1.01586i | 0.273685 | − | 0.0996131i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.506320 | + | 2.87149i | 0.0491782 | + | 0.278903i | ||||
\(107\) | −3.96046 | + | 3.96046i | −0.382872 | + | 0.382872i | −0.872136 | − | 0.489264i | \(-0.837266\pi\) |
0.489264 | + | 0.872136i | \(0.337266\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 12.5627i | − | 1.20329i | −0.798765 | − | 0.601643i | \(-0.794513\pi\) | ||
0.798765 | − | 0.601643i | \(-0.205487\pi\) | |||||||
\(110\) | −0.0377024 | 0.000587563i | −0.00359479 | 5.60219e-5i | ||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.12477 | − | 1.92341i | −0.389754 | − | 0.181745i | ||||
\(113\) | −0.170254 | − | 1.94601i | −0.0160162 | − | 0.183066i | −0.999989 | − | 0.00474575i | \(-0.998489\pi\) |
0.983973 | − | 0.178320i | \(-0.0570662\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.18634 | − | 12.9075i | 0.670130 | − | 1.20363i | ||||
\(116\) | −5.07346 | + | 2.92917i | −0.471059 | + | 0.271966i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.59047 | + | 13.3998i | 0.330530 | + | 1.23355i | ||||
\(119\) | 1.69739 | − | 1.42428i | 0.155599 | − | 0.130563i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.91008 | − | 10.8326i | 0.173644 | − | 0.984782i | ||||
\(122\) | −3.06851 | − | 4.38228i | −0.277810 | − | 0.396753i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.82702 | − | 3.36912i | −0.253874 | − | 0.302556i | ||||
\(125\) | 2.38585 | − | 10.9228i | 0.213397 | − | 0.976966i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.78606 | − | 10.3977i | 0.247223 | − | 0.922650i | −0.725030 | − | 0.688718i | \(-0.758174\pi\) |
0.972253 | − | 0.233932i | \(-0.0751593\pi\) | |||||||
\(128\) | −0.422618 | − | 0.906308i | −0.0373545 | − | 0.0801070i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 6.62445 | + | 0.475679i | 0.581003 | + | 0.0417198i | ||||
\(131\) | 1.52146 | + | 4.18019i | 0.132931 | + | 0.365225i | 0.988244 | − | 0.152887i | \(-0.0488572\pi\) |
−0.855313 | + | 0.518112i | \(0.826635\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.5043 | + | 7.35518i | 0.910837 | + | 0.637775i | ||||
\(134\) | −10.5970 | −0.915439 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.486859 | 0.0417478 | ||||||||
\(137\) | −5.44092 | − | 3.80978i | −0.464849 | − | 0.325491i | 0.317579 | − | 0.948232i | \(-0.397130\pi\) |
−0.782428 | + | 0.622741i | \(0.786019\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.41440 | + | 14.8760i | 0.459244 | + | 1.26176i | 0.926050 | + | 0.377402i | \(0.123183\pi\) |
−0.466806 | + | 0.884360i | \(0.654595\pi\) | |||||||
\(140\) | −6.66217 | − | 7.69296i | −0.563056 | − | 0.650174i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.85674 | + | 12.5598i | 0.491487 | + | 1.05400i | ||||
\(143\) | 0.0129633 | − | 0.0483796i | 0.00108404 | − | 0.00404571i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.0304 | + | 1.34492i | −1.08212 | + | 0.111689i | ||||
\(146\) | 1.72650 | + | 2.05756i | 0.142886 | + | 0.170285i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.66320 | + | 8.08789i | 0.465512 | + | 0.664820i | ||||
\(149\) | −0.486168 | + | 2.75720i | −0.0398284 | + | 0.225878i | −0.998225 | − | 0.0595633i | \(-0.981029\pi\) |
0.958396 | + | 0.285442i | \(0.0921403\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.42506 | − | 7.06946i | 0.685621 | − | 0.575305i | −0.232022 | − | 0.972711i | \(-0.574534\pi\) |
0.917643 | + | 0.397406i | \(0.130090\pi\) | |||||||
\(152\) | 0.729247 | + | 2.72159i | 0.0591497 | + | 0.220750i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.0664648 | + | 0.0383734i | −0.00535588 | + | 0.00309222i | ||||
\(155\) | −2.69304 | − | 9.45847i | −0.216310 | − | 0.759722i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.07934 | + | 12.3369i | 0.0861406 | + | 0.984591i | 0.909124 | + | 0.416526i | \(0.136752\pi\) |
−0.822983 | + | 0.568065i | \(0.807692\pi\) | |||||||
\(158\) | 4.72459 | + | 2.20311i | 0.375868 | + | 0.175270i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.0348431 | − | 2.23580i | −0.00275459 | − | 0.176755i | ||||
\(161\) | − | 30.0686i | − | 2.36974i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.90931 | + | 4.90931i | −0.384527 | + | 0.384527i | −0.872730 | − | 0.488203i | \(-0.837653\pi\) |
0.488203 | + | 0.872730i | \(0.337653\pi\) | |||||||
\(164\) | 1.59050 | + | 9.02018i | 0.124197 | + | 0.704357i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.77238 | − | 1.37303i | 0.292793 | − | 0.106568i | ||||
\(167\) | 1.25729 | − | 0.109998i | 0.0972918 | − | 0.00851193i | −0.0384059 | − | 0.999262i | \(-0.512228\pi\) |
0.135698 | + | 0.990750i | \(0.456672\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.42899 | − | 3.92611i | 0.109922 | − | 0.302008i | ||||
\(170\) | 0.993701 | + | 0.444653i | 0.0762134 | + | 0.0341033i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.08378 | − | 0.826298i | 0.235136 | − | 0.0630046i | ||||
\(173\) | −2.02886 | − | 0.177502i | −0.154251 | − | 0.0134952i | 0.00976850 | − | 0.999952i | \(-0.496891\pi\) |
−0.164020 | + | 0.986457i | \(0.552446\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.57173 | − | 21.7863i | −0.496776 | − | 1.64689i | ||||
\(176\) | −0.0166069 | − | 0.00292824i | −0.00125179 | − | 0.000220725i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.54900 | − | 17.7052i | 0.116103 | − | 1.32706i | ||||
\(179\) | −0.264092 | + | 0.457421i | −0.0197392 | + | 0.0341892i | −0.875726 | − | 0.482808i | \(-0.839617\pi\) |
0.855987 | + | 0.516997i | \(0.172950\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.76525 | + | 15.1819i | 0.651516 | + | 1.12846i | 0.982755 | + | 0.184911i | \(0.0591998\pi\) |
−0.331240 | + | 0.943547i | \(0.607467\pi\) | |||||||
\(182\) | 12.2513 | − | 5.71286i | 0.908124 | − | 0.423465i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.24675 | − | 5.06108i | 0.313075 | − | 0.373108i | ||||
\(185\) | 4.17210 | + | 21.6800i | 0.306739 | + | 1.59395i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.00470903 | − | 0.00672519i | 0.000344359 | − | 0.000491795i | ||||
\(188\) | 1.71239 | + | 1.71239i | 0.124889 | + | 0.124889i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.997226 | + | 6.22091i | −0.0723464 | + | 0.451312i | ||||
\(191\) | 16.1961 | − | 2.85581i | 1.17191 | − | 0.206639i | 0.446388 | − | 0.894840i | \(-0.352710\pi\) |
0.725520 | + | 0.688201i | \(0.241599\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.754386 | − | 1.61779i | 0.0543019 | − | 0.116451i | −0.877285 | − | 0.479971i | \(-0.840647\pi\) |
0.931586 | + | 0.363520i | \(0.118425\pi\) | |||||||
\(194\) | −10.9892 | − | 9.22103i | −0.788979 | − | 0.662032i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −12.8862 | − | 4.69019i | −0.920443 | − | 0.335014i | ||||
\(197\) | −18.2169 | − | 4.88120i | −1.29790 | − | 0.347771i | −0.457243 | − | 0.889342i | \(-0.651163\pi\) |
−0.840655 | + | 0.541571i | \(0.817830\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 19.5744 | + | 11.3013i | 1.38759 | + | 0.801126i | 0.993043 | − | 0.117750i | \(-0.0375682\pi\) |
0.394547 | + | 0.918876i | \(0.370902\pi\) | |||||||
\(200\) | 1.97086 | − | 4.59518i | 0.139361 | − | 0.324929i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.02191 | − | 0.715549i | 0.0719014 | − | 0.0503459i | ||||
\(203\) | −21.8405 | + | 15.2929i | −1.53290 | + | 1.07335i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.99193 | + | 19.8632i | −0.348652 | + | 1.38731i | ||||
\(206\) | 12.1296 | + | 7.00302i | 0.845108 | + | 0.487924i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.86897 | + | 0.768737i | 0.198927 | + | 0.0533023i | ||||
\(209\) | 0.0446479 | + | 0.0162505i | 0.00308836 | + | 0.00112407i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.02102 | − | 0.856741i | −0.0702902 | − | 0.0589805i | 0.606966 | − | 0.794728i | \(-0.292387\pi\) |
−0.677256 | + | 0.735748i | \(0.736831\pi\) | |||||||
\(212\) | −1.23226 | + | 2.64260i | −0.0846322 | + | 0.181494i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.51585 | + | 0.972593i | −0.377056 | + | 0.0664851i | ||||
\(215\) | 7.04881 | + | 1.12994i | 0.480725 | + | 0.0770613i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −14.1537 | − | 14.1537i | −0.960817 | − | 0.960817i | ||||
\(218\) | 7.20565 | − | 10.2907i | 0.488029 | − | 0.696977i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.0312210 | − | 0.0211439i | −0.00210492 | − | 0.00142552i | ||||
\(221\) | −0.929506 | + | 1.10774i | −0.0625254 | + | 0.0745148i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.08091 | − | 1.43665i | 0.206313 | − | 0.0962052i | −0.316715 | − | 0.948521i | \(-0.602580\pi\) |
0.523028 | + | 0.852315i | \(0.324802\pi\) | |||||||
\(224\) | −2.27559 | − | 3.94143i | −0.152044 | − | 0.263348i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.976724 | − | 1.69174i | 0.0649707 | − | 0.112533i | ||||
\(227\) | −0.671589 | + | 7.67630i | −0.0445749 | + | 0.509494i | 0.940785 | + | 0.339005i | \(0.110090\pi\) |
−0.985360 | + | 0.170489i | \(0.945465\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.17958 | + | 0.560647i | 0.210113 | + | 0.0370486i | 0.277714 | − | 0.960664i | \(-0.410423\pi\) |
−0.0676009 | + | 0.997712i | \(0.521534\pi\) | |||||||
\(230\) | 13.2902 | − | 6.45130i | 0.876327 | − | 0.425386i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.83604 | − | 0.510587i | −0.383155 | − | 0.0335217i | ||||
\(233\) | 20.7700 | − | 5.56531i | 1.36069 | − | 0.364595i | 0.496619 | − | 0.867968i | \(-0.334574\pi\) |
0.864069 | + | 0.503373i | \(0.167908\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.93112 | + | 5.05900i | 0.125972 | + | 0.330013i | ||||
\(236\) | −4.74468 | + | 13.0359i | −0.308852 | + | 0.848564i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.20735 | − | 0.193118i | 0.143081 | − | 0.0125180i | ||||
\(239\) | −13.1835 | + | 4.79841i | −0.852771 | + | 0.310383i | −0.731169 | − | 0.682196i | \(-0.761025\pi\) |
−0.121601 | + | 0.992579i | \(0.538803\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.17662 | − | 6.67294i | −0.0757928 | − | 0.429842i | −0.998966 | − | 0.0454585i | \(-0.985525\pi\) |
0.923173 | − | 0.384384i | \(-0.125586\pi\) | |||||||
\(242\) | 7.77797 | − | 7.77797i | 0.499987 | − | 0.499987i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 5.34978i | − | 0.342484i | ||||||
\(245\) | −22.0177 | − | 21.3420i | −1.40666 | − | 1.36349i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −7.58465 | − | 3.53678i | −0.482600 | − | 0.225040i | ||||
\(248\) | −0.383317 | − | 4.38133i | −0.0243407 | − | 0.278215i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.21944 | − | 7.57897i | 0.519843 | − | 0.479336i | ||||
\(251\) | −0.317436 | + | 0.183272i | −0.0200364 | + | 0.0115680i | −0.509985 | − | 0.860183i | \(-0.670349\pi\) |
0.489948 | + | 0.871751i | \(0.337016\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.0288352 | − | 0.107614i | −0.00181285 | − | 0.00676566i | ||||
\(254\) | 8.24610 | − | 6.91930i | 0.517407 | − | 0.434156i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −6.69084 | − | 9.55551i | −0.417363 | − | 0.596056i | 0.554332 | − | 0.832296i | \(-0.312974\pi\) |
−0.971695 | + | 0.236240i | \(0.924085\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 28.8843 | + | 34.4230i | 1.79478 | + | 2.13894i | ||||
\(260\) | 5.15359 | + | 4.18928i | 0.319612 | + | 0.259808i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.15135 | + | 4.29689i | −0.0711304 | + | 0.265462i | ||||
\(263\) | −2.74490 | − | 5.88645i | −0.169258 | − | 0.362974i | 0.803322 | − | 0.595545i | \(-0.203064\pi\) |
−0.972579 | + | 0.232571i | \(0.925286\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.92861 | + | 4.26822i | −0.302762 | + | 0.262195i | ||||
\(266\) | 4.38585 | + | 12.0500i | 0.268914 | + | 0.738834i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −8.68053 | − | 6.07817i | −0.530248 | − | 0.371283i | ||||
\(269\) | 13.3876 | 0.816257 | 0.408129 | − | 0.912924i | \(-0.366182\pi\) | ||||
0.408129 | + | 0.912924i | \(0.366182\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 27.6092 | 1.67714 | 0.838569 | − | 0.544796i | \(-0.183393\pi\) | ||||
0.838569 | + | 0.544796i | \(0.183393\pi\) | |||||||
\(272\) | 0.398812 | + | 0.279251i | 0.0241815 | + | 0.0169321i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.27175 | − | 6.24157i | −0.137241 | − | 0.377067i | ||||
\(275\) | −0.0444126 | − | 0.0716702i | −0.00267818 | − | 0.00432187i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −9.94504 | − | 21.3272i | −0.597539 | − | 1.28143i | −0.939769 | − | 0.341811i | \(-0.888960\pi\) |
0.342230 | − | 0.939616i | \(-0.388818\pi\) | |||||||
\(278\) | −4.09728 | + | 15.2912i | −0.245738 | + | 0.917108i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.04483 | − | 10.1230i | −0.0624404 | − | 0.604963i | ||||
\(281\) | −8.73492 | − | 10.4099i | −0.521082 | − | 0.621001i | 0.439755 | − | 0.898118i | \(-0.355065\pi\) |
−0.960836 | + | 0.277117i | \(0.910621\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.40016 | − | 3.42778i | −0.142675 | − | 0.203760i | 0.741454 | − | 0.671003i | \(-0.234136\pi\) |
−0.884129 | + | 0.467243i | \(0.845247\pi\) | |||||||
\(284\) | −2.40646 | + | 13.6477i | −0.142797 | + | 0.809841i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.0383683 | − | 0.0321948i | 0.00226877 | − | 0.00190372i | ||||
\(287\) | 10.7891 | + | 40.2653i | 0.636858 | + | 2.37679i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.5172 | − | 8.38148i | 0.853950 | − | 0.493028i | ||||
\(290\) | −11.4453 | − | 6.37224i | −0.672091 | − | 0.374191i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.234096 | + | 2.67573i | 0.0136994 | + | 0.156585i | ||||
\(293\) | −0.782306 | − | 0.364795i | −0.0457028 | − | 0.0213116i | 0.399633 | − | 0.916675i | \(-0.369138\pi\) |
−0.445335 | + | 0.895364i | \(0.646916\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −21.5899 | + | 22.2735i | −1.25701 | + | 1.29681i | ||||
\(296\) | 9.87349i | 0.573885i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.97971 | + | 1.97971i | −0.114681 | + | 0.114681i | ||||
\(299\) | 3.40754 | + | 19.3251i | 0.197063 | + | 1.11760i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 13.6537 | − | 4.96953i | 0.786985 | − | 0.286439i | ||||
\(302\) | 10.9563 | − | 0.958550i | 0.630463 | − | 0.0551584i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.963674 | + | 2.64767i | −0.0552705 | + | 0.151854i | ||||
\(305\) | 4.88601 | − | 10.9191i | 0.279772 | − | 0.625228i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −26.2129 | + | 7.02373i | −1.49605 | + | 0.400865i | −0.911775 | − | 0.410690i | \(-0.865288\pi\) |
−0.584275 | + | 0.811556i | \(0.698621\pi\) | |||||||
\(308\) | −0.0764548 | − | 0.00668893i | −0.00435642 | − | 0.000381137i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.21915 | − | 9.29258i | 0.182835 | − | 0.527783i | ||||
\(311\) | −6.73289 | − | 1.18719i | −0.381787 | − | 0.0673193i | −0.0205388 | − | 0.999789i | \(-0.506538\pi\) |
−0.361248 | + | 0.932470i | \(0.617649\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.180127 | − | 2.05887i | 0.0101814 | − | 0.116374i | −0.989403 | − | 0.145194i | \(-0.953619\pi\) |
0.999585 | + | 0.0288199i | \(0.00917495\pi\) | |||||||
\(314\) | −6.19201 | + | 10.7249i | −0.349435 | + | 0.605240i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.60651 | + | 4.51460i | 0.146627 | + | 0.253966i | ||||
\(317\) | −3.70798 | + | 1.72906i | −0.208261 | + | 0.0971136i | −0.523950 | − | 0.851749i | \(-0.675542\pi\) |
0.315689 | + | 0.948863i | \(0.397764\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.0635007 | + | 0.0756772i | −0.00355536 | + | 0.00423711i | ||||
\(320\) | 1.25386 | − | 1.85144i | 0.0700928 | − | 0.103499i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 17.2466 | − | 24.6308i | 0.961118 | − | 1.37262i | ||||
\(323\) | −0.969988 | − | 0.969988i | −0.0539716 | − | 0.0539716i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.69261 | + | 13.2573i | 0.371239 | + | 0.735385i | ||||
\(326\) | −6.83734 | + | 1.20561i | −0.378685 | + | 0.0667724i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −3.87090 | + | 8.30117i | −0.213735 | + | 0.458355i | ||||
\(329\) | 8.44296 | + | 7.08448i | 0.465475 | + | 0.390580i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −22.6746 | − | 8.25289i | −1.24631 | − | 0.453620i | −0.367157 | − | 0.930159i | \(-0.619669\pi\) |
−0.879153 | + | 0.476539i | \(0.841891\pi\) | |||||||
\(332\) | 3.87769 | + | 1.03902i | 0.212816 | + | 0.0570238i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.09300 | + | 0.631045i | 0.0598064 | + | 0.0345292i | ||||
\(335\) | −12.1661 | − | 20.3338i | −0.664705 | − | 1.11096i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −24.3789 | + | 17.0703i | −1.32800 | + | 0.929876i | −0.999891 | − | 0.0147629i | \(-0.995301\pi\) |
−0.328110 | + | 0.944639i | \(0.606412\pi\) | |||||||
\(338\) | 3.42248 | − | 2.39645i | 0.186158 | − | 0.130350i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.558950 | + | 0.934202i | 0.0303133 | + | 0.0506642i | ||||
\(341\) | −0.0642288 | − | 0.0370825i | −0.00347818 | − | 0.00200813i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −29.5119 | − | 7.90770i | −1.59350 | − | 0.426976i | ||||
\(344\) | 3.00003 | + | 1.09192i | 0.161751 | + | 0.0588725i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.56013 | − | 1.30911i | −0.0838733 | − | 0.0703780i | ||||
\(347\) | 15.0129 | − | 32.1952i | 0.805934 | − | 1.72833i | 0.129816 | − | 0.991538i | \(-0.458561\pi\) |
0.676118 | − | 0.736793i | \(-0.263661\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −33.1408 | + | 5.84362i | −1.77399 | + | 0.312802i | −0.962442 | − | 0.271486i | \(-0.912485\pi\) |
−0.811546 | + | 0.584288i | \(0.801374\pi\) | |||||||
\(350\) | 7.11286 | − | 21.6157i | 0.380198 | − | 1.15541i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.0119240 | − | 0.0119240i | −0.000635552 | − | 0.000635552i | ||||
\(353\) | −6.95485 | + | 9.93256i | −0.370169 | + | 0.528657i | −0.960417 | − | 0.278565i | \(-0.910141\pi\) |
0.590248 | + | 0.807222i | \(0.299030\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −17.3763 | + | 25.6577i | −0.922236 | + | 1.36177i | ||||
\(356\) | 11.4241 | − | 13.6148i | 0.605479 | − | 0.721581i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.478697 | + | 0.223220i | −0.0252999 | + | 0.0117976i | ||||
\(359\) | 1.47918 | + | 2.56202i | 0.0780682 | + | 0.135218i | 0.902416 | − | 0.430865i | \(-0.141791\pi\) |
−0.824348 | + | 0.566083i | \(0.808458\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.53058 | + | 9.57925i | −0.291083 | + | 0.504171i | ||||
\(362\) | −1.52788 | + | 17.4638i | −0.0803037 | + | 0.917876i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 13.3124 | + | 2.34734i | 0.697760 | + | 0.123034i | ||||
\(365\) | −1.96597 | + | 5.67509i | −0.102904 | + | 0.297048i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 20.0177 | + | 1.75132i | 1.04492 | + | 0.0914183i | 0.596666 | − | 0.802490i | \(-0.296492\pi\) |
0.448250 | + | 0.893908i | \(0.352047\pi\) | |||||||
\(368\) | 6.38166 | − | 1.70996i | 0.332667 | − | 0.0891378i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −9.01756 | + | 20.1522i | −0.468800 | + | 1.04767i | ||||
\(371\) | −4.53869 | + | 12.4699i | −0.235637 | + | 0.647407i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.77776 | − | 0.680465i | 0.402717 | − | 0.0352332i | 0.116002 | − | 0.993249i | \(-0.462992\pi\) |
0.286715 | + | 0.958016i | \(0.407437\pi\) | |||||||
\(374\) | 0.00771483 | − | 0.00280797i | 0.000398924 | − | 0.000145197i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.420520 | + | 2.38489i | 0.0216867 | + | 0.122991i | ||||
\(377\) | 12.3038 | − | 12.3038i | 0.633680 | − | 0.633680i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 8.70072i | − | 0.446926i | −0.974712 | − | 0.223463i | \(-0.928264\pi\) | ||
0.974712 | − | 0.223463i | \(-0.0717362\pi\) | |||||||
\(380\) | −4.38505 | + | 4.52388i | −0.224948 | + | 0.232070i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 14.9051 | + | 6.95036i | 0.762611 | + | 0.355611i | ||||
\(383\) | −0.341882 | − | 3.90773i | −0.0174694 | − | 0.199676i | −0.999914 | − | 0.0131209i | \(-0.995823\pi\) |
0.982445 | − | 0.186555i | \(-0.0597322\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.149939 | − | 0.0834794i | −0.00764158 | − | 0.00425450i | ||||
\(386\) | 1.54588 | − | 0.892515i | 0.0786833 | − | 0.0454278i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.71286 | − | 13.8566i | −0.188492 | − | 0.703461i | ||||
\(389\) | −5.04731 | + | 4.23519i | −0.255909 | + | 0.214733i | −0.761712 | − | 0.647916i | \(-0.775641\pi\) |
0.505803 | + | 0.862649i | \(0.331196\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.558551 | + | 3.16770i | −0.0282472 | + | 0.160198i | ||||
\(392\) | −7.86557 | − | 11.2332i | −0.397272 | − | 0.567363i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −12.1227 | − | 14.4472i | −0.610730 | − | 0.727840i | ||||
\(395\) | 1.19677 | + | 11.5951i | 0.0602159 | + | 0.583410i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.745079 | + | 2.78067i | −0.0373944 | + | 0.139558i | −0.982099 | − | 0.188364i | \(-0.939682\pi\) |
0.944705 | + | 0.327922i | \(0.106348\pi\) | |||||||
\(398\) | 9.55224 | + | 20.4849i | 0.478811 | + | 1.02681i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.25012 | − | 2.63372i | 0.212506 | − | 0.131686i | ||||
\(401\) | −7.66206 | − | 21.0513i | −0.382625 | − | 1.05125i | −0.970247 | − | 0.242118i | \(-0.922158\pi\) |
0.587622 | − | 0.809136i | \(-0.300064\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 10.7006 | + | 7.49264i | 0.533035 | + | 0.373235i | ||||
\(404\) | 1.24752 | 0.0620666 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −26.6623 | −1.32323 | ||||||||
\(407\) | 0.136387 | + | 0.0954991i | 0.00676044 | + | 0.00473371i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −12.6634 | − | 34.7925i | −0.626167 | − | 1.72038i | −0.691363 | − | 0.722507i | \(-0.742990\pi\) |
0.0651964 | − | 0.997872i | \(-0.479233\pi\) | |||||||
\(410\) | −15.4822 | + | 13.4077i | −0.764612 | + | 0.662161i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 5.91921 | + | 12.6938i | 0.291618 | + | 0.625378i | ||||
\(413\) | −16.3409 | + | 60.9849i | −0.804081 | + | 3.00087i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 6.96559 | + | 5.66223i | 0.341927 | + | 0.277948i | ||||
\(416\) | 1.90919 | + | 2.27528i | 0.0936057 | + | 0.111555i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0272525 | + | 0.0389206i | 0.00133296 | + | 0.00190367i | ||||
\(419\) | 5.70006 | − | 32.3266i | 0.278466 | − | 1.57926i | −0.449266 | − | 0.893398i | \(-0.648315\pi\) |
0.727732 | − | 0.685861i | \(-0.240574\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 19.0796 | − | 16.0097i | 0.929884 | − | 0.780266i | −0.0459123 | − | 0.998945i | \(-0.514619\pi\) |
0.975797 | + | 0.218680i | \(0.0701750\pi\) | |||||||
\(422\) | −0.344968 | − | 1.28744i | −0.0167928 | − | 0.0626714i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.52514 | + | 1.45789i | −0.122632 | + | 0.0708015i | ||||
\(425\) | 0.287626 | + | 2.41724i | 0.0139519 | + | 0.117254i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −2.12205 | − | 24.2551i | −0.102693 | − | 1.17379i | ||||
\(428\) | −5.07618 | − | 2.36706i | −0.245366 | − | 0.114416i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.12594 | + | 4.96862i | 0.247195 | + | 0.239608i | ||||
\(431\) | − | 18.2671i | − | 0.879894i | −0.898024 | − | 0.439947i | \(-0.854997\pi\) | ||
0.898024 | − | 0.439947i | \(-0.145003\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.2353 | + | 10.2353i | −0.491877 | + | 0.491877i | −0.908897 | − | 0.417020i | \(-0.863074\pi\) |
0.417020 | + | 0.908897i | \(0.363074\pi\) | |||||||
\(434\) | −3.47581 | − | 19.7123i | −0.166844 | − | 0.946220i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 11.8051 | − | 4.29669i | 0.565360 | − | 0.205774i | ||||
\(437\) | −18.5444 | + | 1.62242i | −0.887098 | + | 0.0776110i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6.65902 | + | 18.2955i | −0.317818 | + | 0.873197i | 0.673199 | + | 0.739461i | \(0.264920\pi\) |
−0.991017 | + | 0.133736i | \(0.957303\pi\) | |||||||
\(440\) | −0.0134471 | − | 0.0352277i | −0.000641066 | − | 0.00167942i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.39678 | + | 0.374267i | −0.0664382 | + | 0.0178020i | ||||
\(443\) | −34.1642 | − | 2.98898i | −1.62319 | − | 0.142011i | −0.761055 | − | 0.648687i | \(-0.775318\pi\) |
−0.862136 | + | 0.506676i | \(0.830874\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 35.7517 | − | 17.3546i | 1.69479 | − | 0.822686i | ||||
\(446\) | 3.34776 | + | 0.590300i | 0.158521 | + | 0.0279515i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.396661 | − | 4.53386i | 0.0187405 | − | 0.214205i | ||||
\(449\) | −9.51605 | + | 16.4823i | −0.449090 | + | 0.777847i | −0.998327 | − | 0.0578197i | \(-0.981585\pi\) |
0.549237 | + | 0.835667i | \(0.314918\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.0772273 | + | 0.133762i | 0.00363649 | + | 0.00629859i | ||||
\(452\) | 1.77042 | − | 0.825563i | 0.0832738 | − | 0.0388312i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.95308 | + | 5.90285i | −0.232459 | + | 0.277034i | ||||
\(455\) | 25.0274 | + | 16.9494i | 1.17330 | + | 0.794599i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.4432 | − | 16.3425i | 0.535289 | − | 0.764472i | −0.456859 | − | 0.889539i | \(-0.651026\pi\) |
0.992148 | + | 0.125067i | \(0.0399147\pi\) | |||||||
\(458\) | 2.28299 | + | 2.28299i | 0.106677 | + | 0.106677i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 14.5870 | + | 2.33832i | 0.680121 | + | 0.109025i | ||||
\(461\) | 5.44016 | − | 0.959247i | 0.253374 | − | 0.0446766i | −0.0455186 | − | 0.998963i | \(-0.514494\pi\) |
0.298892 | + | 0.954287i | \(0.403383\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.73650 | + | 20.8800i | −0.452494 | + | 0.970376i | 0.539251 | + | 0.842145i | \(0.318708\pi\) |
−0.991744 | + | 0.128231i | \(0.959070\pi\) | |||||||
\(464\) | −4.48774 | − | 3.76566i | −0.208338 | − | 0.174817i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 20.2059 | + | 7.35436i | 0.936021 | + | 0.340684i | ||||
\(467\) | −34.5186 | − | 9.24923i | −1.59733 | − | 0.428003i | −0.653095 | − | 0.757276i | \(-0.726530\pi\) |
−0.944235 | + | 0.329273i | \(0.893197\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −41.7673 | − | 24.1143i | −1.92863 | − | 1.11350i | ||||
\(470\) | −1.31984 | + | 5.25173i | −0.0608798 | + | 0.242244i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −11.3637 | + | 7.95694i | −0.523056 | + | 0.366248i | ||||
\(473\) | 0.0441003 | − | 0.0308794i | 0.00202774 | − | 0.00141984i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −13.0818 | + | 5.22855i | −0.600233 | + | 0.239902i | ||||
\(476\) | 1.91892 | + | 1.10789i | 0.0879537 | + | 0.0507801i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −13.5516 | − | 3.63113i | −0.619834 | − | 0.166084i | ||||
\(479\) | 16.3049 | + | 5.93451i | 0.744991 | + | 0.271155i | 0.686497 | − | 0.727133i | \(-0.259148\pi\) |
0.0584947 | + | 0.998288i | \(0.481370\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −22.4650 | − | 18.8504i | −1.02432 | − | 0.859503i | ||||
\(482\) | 2.86361 | − | 6.14104i | 0.130434 | − | 0.279717i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 10.8326 | − | 1.91008i | 0.492391 | − | 0.0868218i | ||||
\(485\) | 5.07724 | − | 31.6729i | 0.230545 | − | 1.43819i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.51142 | + | 9.51142i | 0.431004 | + | 0.431004i | 0.888970 | − | 0.457966i | \(-0.151422\pi\) |
−0.457966 | + | 0.888970i | \(0.651422\pi\) | |||||||
\(488\) | 3.06851 | − | 4.38228i | 0.138905 | − | 0.198377i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.79460 | − | 30.1112i | −0.261773 | − | 1.36028i | ||||
\(491\) | −22.1705 | + | 26.4218i | −1.00054 | + | 1.19240i | −0.0192602 | + | 0.999815i | \(0.506131\pi\) |
−0.981281 | + | 0.192584i | \(0.938313\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.58495 | − | 1.20538i | 0.116421 | − | 0.0542878i | ||||
\(494\) | −4.18437 | − | 7.24754i | −0.188264 | − | 0.326082i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.19903 | − | 3.80884i | 0.0987396 | − | 0.171022i | ||||
\(497\) | −5.49702 | + | 62.8312i | −0.246575 | + | 2.81837i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.97985 | + | 0.525427i | 0.133396 | + | 0.0235213i | 0.239948 | − | 0.970786i | \(-0.422870\pi\) |
−0.106551 | + | 0.994307i | \(0.533981\pi\) | |||||||
\(500\) | 11.0801 | − | 1.49386i | 0.495517 | − | 0.0668073i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.365149 | − | 0.0319464i | −0.0162974 | − | 0.00142584i | ||||
\(503\) | 4.78545 | − | 1.28226i | 0.213373 | − | 0.0571731i | −0.150549 | − | 0.988603i | \(-0.548104\pi\) |
0.363922 | + | 0.931429i | \(0.381437\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.54625 | + | 1.13937i | 0.113307 | + | 0.0507015i | ||||
\(506\) | 0.0381047 | − | 0.104692i | 0.00169396 | − | 0.00465412i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 10.7236 | − | 0.938190i | 0.475781 | − | 0.0416255i | ||||
\(509\) | 3.58837 | − | 1.30606i | 0.159052 | − | 0.0578901i | −0.261267 | − | 0.965267i | \(-0.584140\pi\) |
0.420319 | + | 0.907376i | \(0.361918\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.12272 | + | 12.0385i | 0.0939035 | + | 0.532553i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 11.6651i | − | 0.514526i | ||||||
\(515\) | 0.488014 | + | 31.3147i | 0.0215045 | + | 1.37989i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.0370109 | + | 0.0172585i | 0.00162774 | + | 0.000759026i | ||||
\(518\) | 3.91643 | + | 44.7650i | 0.172078 | + | 1.96686i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.81870 | + | 6.38764i | 0.0797554 | + | 0.280117i | ||||
\(521\) | 11.1024 | − | 6.40996i | 0.486404 | − | 0.280825i | −0.236677 | − | 0.971588i | \(-0.576058\pi\) |
0.723081 | + | 0.690763i | \(0.242725\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.78222 | + | 6.65134i | 0.0779311 | + | 0.290843i | 0.993882 | − | 0.110448i | \(-0.0352285\pi\) |
−0.915951 | + | 0.401290i | \(0.868562\pi\) | |||||||
\(524\) | −3.40772 | + | 2.85942i | −0.148867 | + | 0.124914i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.12784 | − | 6.39631i | 0.0491762 | − | 0.278892i | ||||
\(527\) | 1.22816 | + | 1.75400i | 0.0534997 | + | 0.0764055i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.2732 | + | 15.8184i | 0.577097 | + | 0.687757i | ||||
\(530\) | −6.48543 | + | 0.669385i | −0.281709 | + | 0.0290762i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.31893 | + | 12.3864i | −0.143894 | + | 0.537019i | ||||
\(533\) | −11.4972 | − | 24.6559i | −0.498001 | − | 1.06797i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.19885 | − | 9.46740i | −0.354467 | − | 0.409311i | ||||
\(536\) | −3.62438 | − | 9.95789i | −0.156549 | − | 0.430115i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 10.9665 | + | 7.67882i | 0.472799 | + | 0.331057i | ||||
\(539\) | −0.231247 | −0.00996052 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.8481 | −0.509388 | −0.254694 | − | 0.967022i | \(-0.581975\pi\) | ||||
−0.254694 | + | 0.967022i | \(0.581975\pi\) | |||||||
\(542\) | 22.6161 | + | 15.8360i | 0.971445 | + | 0.680213i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.166516 | + | 0.457498i | 0.00713930 | + | 0.0196151i | ||||
\(545\) | 28.0189 | + | 2.01194i | 1.20020 | + | 0.0861819i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.1538 | + | 30.3529i | 0.605173 | + | 1.29780i | 0.935298 | + | 0.353860i | \(0.115131\pi\) |
−0.330126 | + | 0.943937i | \(0.607091\pi\) | |||||||
\(548\) | 1.71911 | − | 6.41582i | 0.0734369 | − | 0.274070i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.00472766 | − | 0.0841828i | 0.000201588 | − | 0.00358957i | ||||
\(551\) | 10.6101 | + | 12.6446i | 0.452006 | + | 0.538679i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.6083 | + | 19.4347i | 0.578684 | + | 0.826446i | ||||
\(554\) | 4.08628 | − | 23.1745i | 0.173609 | − | 0.984588i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −12.1270 | + | 10.1758i | −0.514299 | + | 0.431548i | ||||
\(557\) | −2.88256 | − | 10.7579i | −0.122138 | − | 0.455825i | 0.877584 | − | 0.479424i | \(-0.159154\pi\) |
−0.999722 | + | 0.0235987i | \(0.992488\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.21207 | + | 4.74124i | −0.347333 | + | 0.200533i | ||||
\(560\) | 4.95042 | − | 8.89153i | 0.209193 | − | 0.375736i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.18437 | − | 13.5374i | −0.0499596 | − | 0.571041i | ||||
\(563\) | −14.1413 | − | 6.59418i | −0.595983 | − | 0.277911i | 0.101129 | − | 0.994873i | \(-0.467754\pi\) |
−0.697112 | + | 0.716962i | \(0.745532\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.36751 | − | 0.0680642i | 0.183743 | − | 0.00286348i | ||||
\(566\) | − | 4.18455i | − | 0.175890i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −9.79925 | + | 9.79925i | −0.411167 | + | 0.411167i | ||||
\(569\) | 0.939874 | + | 5.33029i | 0.0394016 | + | 0.223458i | 0.998150 | − | 0.0607983i | \(-0.0193646\pi\) |
−0.958748 | + | 0.284256i | \(0.908254\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.93193 | − | 1.79508i | 0.206395 | − | 0.0751217i | −0.236754 | − | 0.971570i | \(-0.576084\pi\) |
0.443149 | + | 0.896448i | \(0.353861\pi\) | |||||||
\(572\) | 0.0498957 | − | 0.00436531i | 0.00208624 | − | 0.000182523i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −14.2574 | + | 39.1718i | −0.595090 | + | 1.63500i | ||||
\(575\) | 27.6370 | + | 18.0950i | 1.15254 | + | 0.754616i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −25.9887 | + | 6.96365i | −1.08192 | + | 0.289901i | −0.755384 | − | 0.655283i | \(-0.772550\pi\) |
−0.326540 | + | 0.945183i | \(0.605883\pi\) | |||||||
\(578\) | 16.6992 | + | 1.46099i | 0.694594 | + | 0.0607691i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.72047 | − | 11.7846i | −0.237530 | − | 0.489328i | ||||
\(581\) | 17.9930 | + | 3.17266i | 0.746477 | + | 0.131624i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.00428537 | + | 0.0489820i | −0.000177482 | + | 0.00202863i | ||||
\(584\) | −1.34298 | + | 2.32610i | −0.0555727 | + | 0.0962548i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.431590 | − | 0.747535i | −0.0178288 | − | 0.0308804i | ||||
\(587\) | −4.20831 | + | 1.96237i | −0.173695 | + | 0.0809955i | −0.507521 | − | 0.861639i | \(-0.669438\pi\) |
0.333826 | + | 0.942635i | \(0.391660\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.96540 | + | 9.49280i | −0.328209 | + | 0.391144i | ||||
\(590\) | −30.4610 | + | 5.86191i | −1.25406 | + | 0.241331i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.66320 | + | 8.08789i | −0.232756 | + | 0.332410i | ||||
\(593\) | 20.1984 | + | 20.1984i | 0.829450 | + | 0.829450i | 0.987441 | − | 0.157991i | \(-0.0505017\pi\) |
−0.157991 | + | 0.987441i | \(0.550502\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.90476 | + | 4.01383i | 0.119084 | + | 0.164551i | ||||
\(596\) | −2.75720 | + | 0.486168i | −0.112939 | + | 0.0199142i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.29315 | + | 17.7847i | −0.339132 | + | 0.727271i | ||||
\(599\) | −20.5738 | − | 17.2635i | −0.840622 | − | 0.705366i | 0.117081 | − | 0.993122i | \(-0.462646\pi\) |
−0.957704 | + | 0.287756i | \(0.907091\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.32986 | + | 1.57594i | 0.176619 | + | 0.0642839i | 0.428816 | − | 0.903392i | \(-0.358931\pi\) |
−0.252197 | + | 0.967676i | \(0.581153\pi\) | |||||||
\(602\) | 14.0348 | + | 3.76063i | 0.572018 | + | 0.153272i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 9.52466 | + | 5.49906i | 0.387553 | + | 0.223754i | ||||
\(605\) | 23.8543 | + | 5.99496i | 0.969816 | + | 0.243730i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 6.29189 | − | 4.40563i | 0.255380 | − | 0.178819i | −0.438875 | − | 0.898548i | \(-0.644623\pi\) |
0.694255 | + | 0.719729i | \(0.255734\pi\) | |||||||
\(608\) | −2.30804 | + | 1.61611i | −0.0936033 | + | 0.0655417i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.2653 | − | 6.14194i | 0.415632 | − | 0.248680i | ||||
\(611\) | −6.22915 | − | 3.59640i | −0.252005 | − | 0.145495i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −41.4873 | − | 11.1165i | −1.67565 | − | 0.448990i | −0.709028 | − | 0.705180i | \(-0.750866\pi\) |
−0.966626 | + | 0.256190i | \(0.917533\pi\) | |||||||
\(614\) | −25.5010 | − | 9.28161i | −1.02914 | − | 0.374575i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.0587915 | − | 0.0493320i | −0.00236878 | − | 0.00198764i | ||||
\(617\) | 1.21970 | − | 2.61566i | 0.0491033 | − | 0.105302i | −0.880225 | − | 0.474556i | \(-0.842609\pi\) |
0.929329 | + | 0.369253i | \(0.120387\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.65266 | − | 0.996717i | 0.227200 | − | 0.0400614i | −0.0588892 | − | 0.998265i | \(-0.518756\pi\) |
0.286089 | + | 0.958203i | \(0.407645\pi\) | |||||||
\(620\) | 7.96698 | − | 5.76561i | 0.319962 | − | 0.231553i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −4.83431 | − | 4.83431i | −0.193838 | − | 0.193838i | ||||
\(623\) | 46.3950 | − | 66.2589i | 1.85878 | − | 2.65461i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 23.9793 | + | 7.07053i | 0.959173 | + | 0.282821i | ||||
\(626\) | 1.32847 | − | 1.58321i | 0.0530963 | − | 0.0632777i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −11.2237 | + | 5.23371i | −0.447876 | + | 0.208848i | ||||
\(629\) | −2.40350 | − | 4.16298i | −0.0958338 | − | 0.165989i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.87500 | − | 17.1040i | 0.393118 | − | 0.680900i | −0.599741 | − | 0.800194i | \(-0.704730\pi\) |
0.992859 | + | 0.119294i | \(0.0380632\pi\) | |||||||
\(632\) | −0.454344 | + | 5.19317i | −0.0180728 | + | 0.206573i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −4.02914 | − | 0.710447i | −0.160018 | − | 0.0282155i | ||||
\(635\) | 22.7441 | + | 7.87905i | 0.902573 | + | 0.312670i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 40.5756 | + | 3.54991i | 1.60766 | + | 0.140652i | ||||
\(638\) | −0.0954234 | + | 0.0255686i | −0.00377785 | + | 0.00101227i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.08904 | − | 0.797429i | 0.0825767 | − | 0.0315212i | ||||
\(641\) | −7.62318 | + | 20.9445i | −0.301098 | + | 0.827259i | 0.693212 | + | 0.720733i | \(0.256195\pi\) |
−0.994310 | + | 0.106525i | \(0.966027\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.1249 | − | 1.32326i | 0.596470 | − | 0.0521843i | 0.215076 | − | 0.976597i | \(-0.431000\pi\) |
0.381393 | + | 0.924413i | \(0.375444\pi\) | |||||||
\(644\) | 28.2552 | − | 10.2841i | 1.11341 | − | 0.405249i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.238206 | − | 1.35093i | −0.00937207 | − | 0.0531517i | ||||
\(647\) | 0.132123 | − | 0.132123i | 0.00519428 | − | 0.00519428i | −0.704505 | − | 0.709699i | \(-0.748831\pi\) |
0.709699 | + | 0.704505i | \(0.248831\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.233933i | 0.00918269i | ||||||||
\(650\) | −2.12184 | + | 14.6985i | −0.0832253 | + | 0.576523i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.29233 | − | 2.93416i | −0.246427 | − | 0.114911i | ||||
\(653\) | −2.75084 | − | 31.4422i | −0.107649 | − | 1.23043i | −0.837352 | − | 0.546665i | \(-0.815897\pi\) |
0.729703 | − | 0.683764i | \(-0.239658\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.56684 | + | 2.72389i | −0.373808 | + | 0.106431i | ||||
\(656\) | −7.93221 | + | 4.57966i | −0.309701 | + | 0.178806i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 2.85257 | + | 10.6459i | 0.111205 | + | 0.415022i | ||||
\(659\) | −17.5238 | + | 14.7042i | −0.682630 | + | 0.572794i | −0.916773 | − | 0.399408i | \(-0.869216\pi\) |
0.234144 | + | 0.972202i | \(0.424771\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.41643 | + | 47.7319i | −0.327361 | + | 1.85656i | 0.165174 | + | 0.986264i | \(0.447181\pi\) |
−0.492535 | + | 0.870292i | \(0.663930\pi\) | |||||||
\(662\) | −13.8403 | − | 19.7660i | −0.537919 | − | 0.768228i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.58046 | + | 3.07527i | 0.100141 | + | 0.119344i | ||||
\(665\) | −18.0867 | + | 22.2500i | −0.701373 | + | 0.862819i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 10.0175 | − | 37.3859i | 0.387880 | − | 1.44759i | ||||
\(668\) | 0.533382 | + | 1.14384i | 0.0206372 | + | 0.0442566i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.69713 | − | 23.6347i | 0.0655657 | − | 0.913088i | ||||
\(671\) | −0.0308549 | − | 0.0847732i | −0.00119114 | − | 0.00327263i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −25.5908 | − | 17.9189i | −0.986452 | − | 0.690721i | −0.0352782 | − | 0.999378i | \(-0.511232\pi\) |
−0.951174 | + | 0.308657i | \(0.900121\pi\) | |||||||
\(674\) | −29.7611 | −1.14635 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.17808 | 0.160695 | ||||||||
\(677\) | −32.3349 | − | 22.6411i | −1.24273 | − | 0.870169i | −0.247612 | − | 0.968859i | \(-0.579646\pi\) |
−0.995118 | + | 0.0986900i | \(0.968535\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −22.3299 | − | 61.3510i | −0.856944 | − | 2.35444i | ||||
\(680\) | −0.0779714 | + | 1.08585i | −0.00299007 | + | 0.0416406i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.0313435 | − | 0.0672163i | −0.00120020 | − | 0.00257385i | ||||
\(683\) | 1.75572 | − | 6.55243i | 0.0671807 | − | 0.250722i | −0.924166 | − | 0.381991i | \(-0.875239\pi\) |
0.991347 | + | 0.131269i | \(0.0419052\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.36841 | − | 11.5249i | 0.357949 | − | 0.440343i | ||||
\(686\) | −19.6391 | − | 23.4050i | −0.749824 | − | 0.893606i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.83118 | + | 2.61520i | 0.0698132 | + | 0.0997035i | ||||
\(689\) | 1.50386 | − | 8.52881i | 0.0572925 | − | 0.324922i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.9693 | + | 13.3998i | −0.607501 | + | 0.509754i | −0.893847 | − | 0.448373i | \(-0.852004\pi\) |
0.286346 | + | 0.958126i | \(0.407559\pi\) | |||||||
\(692\) | −0.527113 | − | 1.96721i | −0.0200378 | − | 0.0747822i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 30.7643 | − | 17.7618i | 1.16780 | − | 0.674227i | ||||
\(695\) | −34.0453 | + | 9.69347i | −1.29141 | + | 0.367694i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.388654 | − | 4.44233i | −0.0147213 | − | 0.168265i | ||||
\(698\) | −30.4992 | − | 14.2220i | −1.15441 | − | 0.538310i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 18.2248 | − | 13.6268i | 0.688831 | − | 0.515043i | ||||
\(701\) | 8.08020i | 0.305185i | 0.988289 | + | 0.152593i | \(0.0487622\pi\) | ||||
−0.988289 | + | 0.152593i | \(0.951238\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 19.6713 | − | 19.6713i | 0.741919 | − | 0.741919i | ||||
\(704\) | −0.00292824 | − | 0.0166069i | −0.000110362 | − | 0.000625896i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −11.3942 | + | 4.14714i | −0.428825 | + | 0.156080i | ||||
\(707\) | 5.65609 | − | 0.494844i | 0.212719 | − | 0.0186105i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.3633 | − | 31.2204i | 0.426757 | − | 1.17251i | −0.521012 | − | 0.853549i | \(-0.674445\pi\) |
0.947769 | − | 0.318957i | \(-0.103332\pi\) | |||||||
\(710\) | −28.9505 | + | 11.0510i | −1.08649 | + | 0.414735i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 17.1672 | − | 4.59994i | 0.643369 | − | 0.172390i | ||||
\(713\) | 28.9465 | + | 2.53249i | 1.08405 | + | 0.0948425i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.105826 | + | 0.0366604i | 0.00395768 | + | 0.00137102i | ||||
\(716\) | −0.520160 | − | 0.0917182i | −0.0194393 | − | 0.00342767i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.257838 | + | 2.94710i | −0.00962243 | + | 0.109985i | ||||
\(719\) | 21.0211 | − | 36.4096i | 0.783954 | − | 1.35785i | −0.145667 | − | 0.989334i | \(-0.546533\pi\) |
0.929622 | − | 0.368515i | \(-0.120134\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 31.8720 | + | 55.2039i | 1.18697 | + | 2.05590i | ||||
\(722\) | −10.0248 | + | 4.67465i | −0.373085 | + | 0.173973i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.2684 | + | 13.4291i | −0.418786 | + | 0.499090i | ||||
\(725\) | −0.912753 | − | 29.2774i | −0.0338988 | − | 1.08734i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.7185 | + | 18.1639i | −0.471704 | + | 0.673662i | −0.982548 | − | 0.186011i | \(-0.940444\pi\) |
0.510844 | + | 0.859673i | \(0.329333\pi\) | |||||||
\(728\) | 9.55851 | + | 9.55851i | 0.354262 | + | 0.354262i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −4.86553 | + | 3.52113i | −0.180081 | + | 0.130323i | ||||
\(731\) | −1.53072 | + | 0.269907i | −0.0566156 | + | 0.00998286i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 12.7711 | − | 27.3878i | 0.471712 | − | 1.01159i | −0.516185 | − | 0.856477i | \(-0.672648\pi\) |
0.987897 | − | 0.155113i | \(-0.0495741\pi\) | |||||||
\(734\) | 15.3930 | + | 12.9163i | 0.568167 | + | 0.476749i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.20834 | + | 2.25965i | 0.228842 | + | 0.0832918i | ||||
\(737\) | −0.172609 | − | 0.0462503i | −0.00635812 | − | 0.00170365i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 3.55947 | + | 2.05506i | 0.130937 | + | 0.0755966i | 0.564038 | − | 0.825749i | \(-0.309247\pi\) |
−0.433101 | + | 0.901346i | \(0.642581\pi\) | |||||||
\(740\) | −18.9456 | + | 11.3355i | −0.696454 | + | 0.416701i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −10.8703 | + | 7.61150i | −0.399063 | + | 0.279427i | ||||
\(743\) | 14.2538 | − | 9.98062i | 0.522921 | − | 0.366153i | −0.282113 | − | 0.959381i | \(-0.591035\pi\) |
0.805035 | + | 0.593228i | \(0.202147\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.07158 | − | 1.52588i | −0.222446 | − | 0.0559040i | ||||
\(746\) | 6.76146 | + | 3.90373i | 0.247555 | + | 0.142926i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.00793020 | + | 0.00212489i | 0.000289957 | + | 7.76937e-5i | ||||
\(749\) | −23.9536 | − | 8.71839i | −0.875245 | − | 0.318563i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −18.5689 | − | 15.5811i | −0.677588 | − | 0.568564i | 0.237713 | − | 0.971336i | \(-0.423602\pi\) |
−0.915300 | + | 0.402772i | \(0.868047\pi\) | |||||||
\(752\) | −1.02345 | + | 2.19479i | −0.0373213 | + | 0.0800357i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 17.1359 | − | 3.02152i | 0.624053 | − | 0.110037i | ||||
\(755\) | 14.4179 | + | 19.9228i | 0.524721 | + | 0.725065i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −8.09867 | − | 8.09867i | −0.294351 | − | 0.294351i | 0.544445 | − | 0.838796i | \(-0.316740\pi\) |
−0.838796 | + | 0.544445i | \(0.816740\pi\) | |||||||
\(758\) | 4.99053 | − | 7.12722i | 0.181264 | − | 0.258872i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −6.18681 | + | 1.19059i | −0.224419 | + | 0.0431872i | ||||
\(761\) | 8.63831 | − | 10.2947i | 0.313139 | − | 0.373184i | −0.586403 | − | 0.810020i | \(-0.699456\pi\) |
0.899541 | + | 0.436836i | \(0.143901\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 51.8181 | − | 24.1632i | 1.87594 | − | 0.874766i | ||||
\(764\) | 8.22297 | + | 14.2426i | 0.297497 | + | 0.515279i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.96133 | − | 3.39712i | 0.0708657 | − | 0.122743i | ||||
\(767\) | 3.59114 | − | 41.0469i | 0.129669 | − | 1.48212i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.9734 | + | 1.93491i | 0.395712 | + | 0.0697747i | 0.367963 | − | 0.929840i | \(-0.380055\pi\) |
0.0277484 | + | 0.999615i | \(0.491166\pi\) | |||||||
\(770\) | −0.0749408 | − | 0.154384i | −0.00270068 | − | 0.00556360i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.77824 | + | 0.155576i | 0.0640002 | + | 0.00559929i | ||||
\(773\) | 21.6373 | − | 5.79770i | 0.778240 | − | 0.208529i | 0.152231 | − | 0.988345i | \(-0.451354\pi\) |
0.626009 | + | 0.779816i | \(0.284687\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 21.5268 | − | 4.49156i | 0.773264 | − | 0.161341i | ||||
\(776\) | 4.90641 | − | 13.4803i | 0.176130 | − | 0.483913i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.56372 | + | 0.574251i | −0.235321 | + | 0.0205879i | ||||
\(779\) | 24.2509 | − | 8.82660i | 0.868878 | − | 0.316246i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.0405803 | + | 0.230142i | 0.00145208 | + | 0.00823513i | ||||
\(782\) | −2.27446 | + | 2.27446i | −0.0813344 | + | 0.0813344i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | − | 13.7132i | − | 0.489758i | ||||||
\(785\) | −27.6881 | + | 0.431498i | −0.988232 | + | 0.0154008i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 30.8512 | + | 14.3862i | 1.09973 | + | 0.512811i | 0.885814 | − | 0.464041i | \(-0.153601\pi\) |
0.213914 | + | 0.976853i | \(0.431379\pi\) | |||||||
\(788\) | −1.64371 | − | 18.7877i | −0.0585549 | − | 0.669285i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.67031 | + | 10.1845i | −0.201741 | + | 0.362350i | ||||
\(791\) | 7.69939 | − | 4.44524i | 0.273759 | − | 0.158055i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.11257 | + | 15.3483i | 0.146042 | + | 0.545035i | ||||
\(794\) | −2.20526 | + | 1.85043i | −0.0782618 | + | 0.0656694i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.92489 | + | 22.2592i | −0.139114 | + | 0.788955i | ||||
\(797\) | 11.6005 | + | 16.5672i | 0.410910 | + | 0.586840i | 0.970252 | − | 0.242097i | \(-0.0778352\pi\) |
−0.559342 | + | 0.828937i | \(0.688946\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.757858 | − | 0.903180i | −0.0268111 | − | 0.0319522i | ||||
\(800\) | 4.99213 | + | 0.280356i | 0.176499 | + | 0.00991207i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 5.79816 | − | 21.6390i | 0.204740 | − | 0.764101i | ||||
\(803\) | 0.0191418 | + | 0.0410498i | 0.000675501 | + | 0.00144862i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 67.0628 | + | 4.81555i | 2.36365 | + | 0.169726i | ||||
\(806\) | 4.46782 | + | 12.2752i | 0.157372 | + | 0.432376i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 1.02191 | + | 0.715549i | 0.0359507 | + | 0.0251729i | ||||
\(809\) | −14.3424 | −0.504253 | −0.252126 | − | 0.967694i | \(-0.581130\pi\) | ||||
−0.252126 | + | 0.967694i | \(0.581130\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.2253 | 0.639976 | 0.319988 | − | 0.947422i | \(-0.396321\pi\) | ||||
0.319988 | + | 0.947422i | \(0.396321\pi\) | |||||||
\(812\) | −21.8405 | − | 15.2929i | −0.766451 | − | 0.536675i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.0569455 | + | 0.156456i | 0.00199594 | + | 0.00548380i | ||||
\(815\) | −10.1631 | − | 11.7356i | −0.355999 | − | 0.411080i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.80160 | − | 8.15256i | −0.133001 | − | 0.285222i | ||||
\(818\) | 9.58289 | − | 35.7638i | 0.335058 | − | 1.25045i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −20.3726 | + | 2.10273i | −0.711444 | + | 0.0734307i | ||||
\(821\) | −8.94276 | − | 10.6576i | −0.312104 | − | 0.371951i | 0.587074 | − | 0.809533i | \(-0.300280\pi\) |
−0.899179 | + | 0.437582i | \(0.855835\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.60500 | − | 5.14847i | −0.125662 | − | 0.179464i | 0.751391 | − | 0.659857i | \(-0.229383\pi\) |
−0.877054 | + | 0.480393i | \(0.840494\pi\) | |||||||
\(824\) | −2.43212 | + | 13.7933i | −0.0847270 | + | 0.480511i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −48.3652 | + | 40.5832i | −1.68284 | + | 1.41207i | ||||
\(827\) | 6.66511 | + | 24.8745i | 0.231769 | + | 0.864972i | 0.979579 | + | 0.201060i | \(0.0644386\pi\) |
−0.747810 | + | 0.663912i | \(0.768895\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −18.2474 | + | 10.5352i | −0.633759 | + | 0.365901i | −0.782206 | − | 0.623019i | \(-0.785906\pi\) |
0.148447 | + | 0.988920i | \(0.452572\pi\) | |||||||
\(830\) | 2.45816 | + | 8.63352i | 0.0853238 | + | 0.299674i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.258868 | + | 2.95887i | 0.00897462 | + | 0.102580i | ||||
\(833\) | 6.05087 | + | 2.82157i | 0.209650 | + | 0.0977616i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.0439752 | + | 2.82178i | 0.00152182 | + | 0.0976516i | ||||
\(836\) | 0.0475133i | 0.00164328i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 23.2110 | − | 23.2110i | 0.801811 | − | 0.801811i | ||||
\(839\) | 9.27233 | + | 52.5860i | 0.320116 | + | 1.81547i | 0.541979 | + | 0.840392i | \(0.317675\pi\) |
−0.221862 | + | 0.975078i | \(0.571214\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.99921 | + | 1.81957i | −0.172387 | + | 0.0627436i | ||||
\(842\) | 24.8119 | − | 2.17076i | 0.855075 | − | 0.0748094i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.455862 | − | 1.25247i | 0.0156914 | − | 0.0431119i | ||||
\(845\) | 8.52764 | + | 3.81588i | 0.293360 | + | 0.131270i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 48.3558 | − | 12.9569i | 1.66153 | − | 0.445205i | ||||
\(848\) | −2.90469 | − | 0.254127i | −0.0997474 | − | 0.00872676i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.15086 | + | 2.14507i | −0.0394743 | + | 0.0735751i | ||||
\(851\) | −64.2409 | − | 11.3274i | −2.20215 | − | 0.388298i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 3.92268 | − | 44.8364i | 0.134310 | − | 1.53517i | −0.567839 | − | 0.823140i | \(-0.692220\pi\) |
0.702149 | − | 0.712030i | \(-0.252224\pi\) | |||||||
\(854\) | 12.1739 | − | 21.0858i | 0.416582 | − | 0.721541i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.80047 | − | 4.85056i | −0.0957181 | − | 0.165789i | ||||
\(857\) | 27.0397 | − | 12.6088i | 0.923658 | − | 0.430709i | 0.0981964 | − | 0.995167i | \(-0.468693\pi\) |
0.825462 | + | 0.564458i | \(0.190915\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −11.3187 | + | 13.4891i | −0.386190 | + | 0.460244i | −0.923758 | − | 0.382977i | \(-0.874899\pi\) |
0.537567 | + | 0.843221i | \(0.319343\pi\) | |||||||
\(860\) | 1.34904 | + | 7.01018i | 0.0460018 | + | 0.239045i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 10.4776 | − | 14.9635i | 0.356867 | − | 0.509659i | ||||
\(863\) | −8.79886 | − | 8.79886i | −0.299517 | − | 0.299517i | 0.541308 | − | 0.840824i | \(-0.317929\pi\) |
−0.840824 | + | 0.541308i | \(0.817929\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.720813 | − | 4.49659i | 0.0245084 | − | 0.152889i | ||||
\(866\) | −14.2550 | + | 2.51354i | −0.484404 | + | 0.0854136i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 8.45929 | − | 18.1410i | 0.287127 | − | 0.615746i | ||||
\(869\) | 0.0673410 | + | 0.0565058i | 0.00228439 | + | 0.00191683i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 29.5767 | + | 10.7650i | 1.00217 | + | 0.364759i | ||||
\(872\) | 12.1346 | + | 3.25146i | 0.410930 | + | 0.110108i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −16.1212 | − | 9.30760i | −0.545309 | − | 0.314834i | ||||
\(875\) | 49.6430 | − | 11.1680i | 1.67824 | − | 0.377546i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 7.03938 | − | 4.92903i | 0.237703 | − | 0.166441i | −0.448656 | − | 0.893705i | \(-0.648097\pi\) |
0.686359 | + | 0.727263i | \(0.259208\pi\) | |||||||
\(878\) | −15.9486 | + | 11.1673i | −0.538240 | + | 0.376880i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.00919057 | − | 0.0365698i | 0.000309814 | − | 0.00123277i | ||||
\(881\) | −37.0508 | − | 21.3913i | −1.24827 | − | 0.720690i | −0.277507 | − | 0.960723i | \(-0.589508\pi\) |
−0.970765 | + | 0.240033i | \(0.922842\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 9.31280 | + | 2.49536i | 0.313401 | + | 0.0839754i | 0.412091 | − | 0.911143i | \(-0.364799\pi\) |
−0.0986903 | + | 0.995118i | \(0.531465\pi\) | |||||||
\(884\) | −1.35885 | − | 0.494580i | −0.0457030 | − | 0.0166345i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −26.2713 | − | 22.0442i | −0.882601 | − | 0.740590i | ||||
\(887\) | −2.47227 | + | 5.30181i | −0.0830108 | + | 0.178017i | −0.943432 | − | 0.331567i | \(-0.892423\pi\) |
0.860421 | + | 0.509584i | \(0.170201\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 48.2470 | − | 8.50724i | 1.61815 | − | 0.285324i | ||||
\(890\) | 39.2403 | + | 6.29030i | 1.31534 | + | 0.210851i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 2.40374 | + | 2.40374i | 0.0804832 | + | 0.0804832i | ||||
\(893\) | 3.91369 | − | 5.58933i | 0.130967 | − | 0.187040i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.977902 | − | 0.662268i | −0.0326877 | − | 0.0221372i | ||||
\(896\) | 2.92544 | − | 3.48640i | 0.0977321 | − | 0.116473i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −17.2489 | + | 8.04331i | −0.575605 | + | 0.268409i | ||||
\(899\) | −12.8827 | − | 22.3134i | −0.429661 | − | 0.744195i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.709788 | − | 1.22939i | 0.0236465 | − | 0.0409569i | ||||
\(902\) | −0.0134616 | + | 0.153867i | −0.000448222 | + | 0.00512320i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.92377 | + | 0.339213i | 0.0639837 | + | 0.0112820i | ||||
\(905\) | −35.2642 | + | 17.1179i | −1.17222 | + | 0.569020i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 5.83355 | + | 0.510370i | 0.193700 | + | 0.0169466i | 0.183593 | − | 0.983002i | \(-0.441227\pi\) |
0.0101071 | + | 0.999949i | \(0.496783\pi\) | |||||||
\(908\) | −7.44306 | + | 1.99436i | −0.247007 | + | 0.0661852i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 10.7795 | + | 28.2392i | 0.357336 | + | 0.936122i | ||||
\(911\) | 0.418240 | − | 1.14910i | 0.0138569 | − | 0.0380715i | −0.932571 | − | 0.360986i | \(-0.882440\pi\) |
0.946428 | + | 0.322914i | \(0.104663\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.0674389 | − | 0.00590014i | 0.00223190 | − | 0.000195266i | ||||
\(914\) | 18.7474 | − | 6.82349i | 0.620108 | − | 0.225701i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.560647 | + | 3.17958i | 0.0185243 | + | 0.105056i | ||||
\(917\) | −14.3159 | + | 14.3159i | −0.472753 | + | 0.472753i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 6.99440i | − | 0.230724i | −0.993324 | − | 0.115362i | \(-0.963197\pi\) | ||
0.993324 | − | 0.115362i | \(-0.0368028\pi\) | |||||||
\(920\) | 10.6077 | + | 10.2822i | 0.349727 | + | 0.338994i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 5.00652 | + | 2.33458i | 0.164881 | + | 0.0768853i | ||||
\(923\) | −3.58745 | − | 41.0047i | −0.118082 | − | 1.34969i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −49.0216 | + | 5.83305i | −1.61182 | + | 0.191789i | ||||
\(926\) | −19.9520 | + | 11.5193i | −0.655662 | + | 0.378547i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.51625 | − | 5.65871i | −0.0497733 | − | 0.185756i | ||||
\(929\) | 27.6437 | − | 23.1958i | 0.906961 | − | 0.761030i | −0.0645776 | − | 0.997913i | \(-0.520570\pi\) |
0.971538 | + | 0.236882i | \(0.0761256\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.70946 | + | 38.0512i | −0.219894 | + | 1.24708i | ||||
\(932\) | 12.3334 | + | 17.6140i | 0.403995 | + | 0.576965i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −22.9708 | − | 27.3756i | −0.751629 | − | 0.895756i | ||||
\(935\) | 0.0142452 | + | 0.0115797i | 0.000465868 | + | 0.000378698i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −6.45571 | + | 24.0931i | −0.210899 | + | 0.787086i | 0.776671 | + | 0.629906i | \(0.216907\pi\) |
−0.987570 | + | 0.157179i | \(0.949760\pi\) | |||||||
\(938\) | −20.3823 | − | 43.7100i | −0.665506 | − | 1.42718i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.09342 | + | 3.54494i | −0.133513 | + | 0.115623i | ||||
\(941\) | 18.0347 | + | 49.5498i | 0.587913 | + | 1.61528i | 0.774313 | + | 0.632803i | \(0.218096\pi\) |
−0.186400 | + | 0.982474i | \(0.559682\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −49.5699 | − | 34.7092i | −1.61422 | − | 1.13029i | ||||
\(944\) | −13.8725 | −0.451512 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.0538366 | 0.00175038 | ||||||||
\(947\) | 29.0385 | + | 20.3330i | 0.943624 | + | 0.660732i | 0.940691 | − | 0.339263i | \(-0.110178\pi\) |
0.00293227 | + | 0.999996i | \(0.499067\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2.72855 | − | 7.49662i | −0.0885724 | − | 0.243351i | ||||
\(950\) | −13.7149 | − | 3.22043i | −0.444971 | − | 0.104484i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.936430 | + | 2.00818i | 0.0303499 | + | 0.0650855i | ||||
\(953\) | 7.42681 | − | 27.7172i | 0.240578 | − | 0.897850i | −0.734977 | − | 0.678093i | \(-0.762807\pi\) |
0.975555 | − | 0.219757i | \(-0.0705265\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.77555 | + | 36.5799i | 0.122174 | + | 1.18370i | ||||
\(956\) | −9.01806 | − | 10.7473i | −0.291665 | − | 0.347593i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 9.95232 | + | 14.2134i | 0.321545 | + | 0.459214i | ||||
\(959\) | 5.24931 | − | 29.7703i | 0.169509 | − | 0.961333i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.92977 | + | 7.49297i | −0.288057 | + | 0.241709i | ||||
\(962\) | −7.59012 | − | 28.3267i | −0.244715 | − | 0.913290i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 5.86809 | − | 3.38794i | 0.188998 | − | 0.109118i | ||||
\(965\) | 3.48737 | + | 1.94162i | 0.112263 | + | 0.0625029i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.66829 | − | 30.4986i | −0.0858063 | − | 0.980770i | −0.910040 | − | 0.414520i | \(-0.863949\pi\) |
0.824234 | − | 0.566250i | \(-0.191606\pi\) | |||||||
\(968\) | 9.96913 | + | 4.64868i | 0.320420 | + | 0.149414i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 22.3258 | − | 23.0327i | 0.716840 | − | 0.739536i | ||||
\(971\) | − | 2.72736i | − | 0.0875251i | −0.999042 | − | 0.0437626i | \(-0.986065\pi\) | ||
0.999042 | − | 0.0437626i | \(-0.0139345\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −50.9457 | + | 50.9457i | −1.63324 | + | 1.63324i | ||||
\(974\) | 2.33577 | + | 13.2468i | 0.0748430 | + | 0.424456i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.02715 | − | 1.82973i | 0.160915 | − | 0.0585683i | ||||
\(977\) | −16.0934 | + | 1.40799i | −0.514873 | + | 0.0450456i | −0.341632 | − | 0.939834i | \(-0.610980\pi\) |
−0.173241 | + | 0.984879i | \(0.555424\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.102505 | − | 0.281630i | 0.00327607 | − | 0.00900094i | ||||
\(980\) | 12.5244 | − | 27.9893i | 0.400078 | − | 0.894085i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −33.3159 | + | 8.92697i | −1.06315 | + | 0.284871i | ||||
\(983\) | 9.44671 | + | 0.826480i | 0.301303 | + | 0.0263606i | 0.236805 | − | 0.971557i | \(-0.423900\pi\) |
0.0644982 | + | 0.997918i | \(0.479455\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13.8041 | − | 39.8478i | 0.439836 | − | 1.26966i | ||||
\(986\) | 2.80885 | + | 0.495276i | 0.0894520 | + | 0.0157728i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.729384 | − | 8.33689i | 0.0232048 | − | 0.265232i | ||||
\(989\) | −10.5463 | + | 18.2667i | −0.335353 | + | 0.580848i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −27.6207 | − | 47.8405i | −0.877400 | − | 1.51970i | −0.854184 | − | 0.519972i | \(-0.825943\pi\) |
−0.0232168 | − | 0.999730i | \(-0.507391\pi\) | |||||||
\(992\) | 3.98600 | − | 1.85870i | 0.126556 | − | 0.0590139i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −40.5414 | + | 48.3154i | −1.28590 | + | 1.53247i | ||||
\(995\) | −28.3404 | + | 41.8473i | −0.898450 | + | 1.32665i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −22.8056 | + | 32.5697i | −0.722259 | + | 1.03149i | 0.275279 | + | 0.961364i | \(0.411230\pi\) |
−0.997538 | + | 0.0701285i | \(0.977659\pi\) | |||||||
\(998\) | 2.13957 | + | 2.13957i | 0.0677270 | + | 0.0677270i | ||||
\(999\) | 0 | 0 |
(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 | 810.2.s.a.557.14 | 216 | ||
3.2 | odd | 2 | 270.2.r.a.257.8 | yes | 216 | ||
5.3 | odd | 4 | inner | 810.2.s.a.233.10 | 216 | ||
15.8 | even | 4 | 270.2.r.a.203.4 | yes | 216 | ||
27.2 | odd | 18 | inner | 810.2.s.a.737.10 | 216 | ||
27.25 | even | 9 | 270.2.r.a.137.4 | yes | 216 | ||
135.83 | even | 36 | inner | 810.2.s.a.413.14 | 216 | ||
135.133 | odd | 36 | 270.2.r.a.83.8 | ✓ | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
270.2.r.a.83.8 | ✓ | 216 | 135.133 | odd | 36 | ||
270.2.r.a.137.4 | yes | 216 | 27.25 | even | 9 | ||
270.2.r.a.203.4 | yes | 216 | 15.8 | even | 4 | ||
270.2.r.a.257.8 | yes | 216 | 3.2 | odd | 2 | ||
810.2.s.a.233.10 | 216 | 5.3 | odd | 4 | inner | ||
810.2.s.a.413.14 | 216 | 135.83 | even | 36 | inner | ||
810.2.s.a.557.14 | 216 | 1.1 | even | 1 | trivial | ||
810.2.s.a.737.10 | 216 | 27.2 | odd | 18 | inner |