Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,2,Mod(14,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.h (of order \(5\), 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: | \(1.14186074890\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 14.6 | ||
Character | \(\chi\) | \(=\) | 143.14 |
Dual form | 143.2.h.c.92.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.61320 | − | 1.17206i | 1.14070 | − | 0.828768i | 0.153485 | − | 0.988151i | \(-0.450950\pi\) |
0.987217 | + | 0.159383i | \(0.0509505\pi\) | |||||||
\(3\) | −0.781399 | − | 2.40490i | −0.451141 | − | 1.38847i | −0.875606 | − | 0.483025i | \(-0.839538\pi\) |
0.424465 | − | 0.905444i | \(-0.360462\pi\) | |||||||
\(4\) | 0.610652 | − | 1.87939i | 0.305326 | − | 0.939697i | ||||
\(5\) | 1.47757 | + | 1.07352i | 0.660791 | + | 0.480093i | 0.866930 | − | 0.498430i | \(-0.166090\pi\) |
−0.206139 | + | 0.978523i | \(0.566090\pi\) | |||||||
\(6\) | −4.07922 | − | 2.96373i | −1.66534 | − | 1.20994i | ||||
\(7\) | −0.624919 | + | 1.92330i | −0.236197 | + | 0.726940i | 0.760763 | + | 0.649030i | \(0.224825\pi\) |
−0.996960 | + | 0.0779108i | \(0.975175\pi\) | |||||||
\(8\) | 0.0147190 | + | 0.0453005i | 0.00520396 | + | 0.0160161i | ||||
\(9\) | −2.74590 | + | 1.99502i | −0.915302 | + | 0.665006i | ||||
\(10\) | 3.64184 | 1.15165 | ||||||||
\(11\) | −2.99848 | − | 1.41744i | −0.904075 | − | 0.427375i | ||||
\(12\) | −4.99692 | −1.44249 | ||||||||
\(13\) | −0.809017 | + | 0.587785i | −0.224381 | + | 0.163022i | ||||
\(14\) | 1.24610 | + | 3.83510i | 0.333035 | + | 1.02497i | ||||
\(15\) | 1.42713 | − | 4.39226i | 0.368484 | − | 1.13408i | ||||
\(16\) | 3.27426 | + | 2.37889i | 0.818564 | + | 0.594722i | ||||
\(17\) | 1.34223 | + | 0.975189i | 0.325539 | + | 0.236518i | 0.738536 | − | 0.674215i | \(-0.235518\pi\) |
−0.412996 | + | 0.910733i | \(0.635518\pi\) | |||||||
\(18\) | −2.09141 | + | 6.43670i | −0.492950 | + | 1.51715i | ||||
\(19\) | −0.610527 | − | 1.87901i | −0.140065 | − | 0.431074i | 0.856279 | − | 0.516514i | \(-0.172771\pi\) |
−0.996343 | + | 0.0854395i | \(0.972771\pi\) | |||||||
\(20\) | 2.91985 | − | 2.12140i | 0.652899 | − | 0.474359i | ||||
\(21\) | 5.11366 | 1.11589 | ||||||||
\(22\) | −6.49845 | + | 1.22777i | −1.38547 | + | 0.261761i | ||||
\(23\) | 3.93925 | 0.821390 | 0.410695 | − | 0.911773i | \(-0.365286\pi\) | ||||
0.410695 | + | 0.911773i | \(0.365286\pi\) | |||||||
\(24\) | 0.0974417 | − | 0.0707955i | 0.0198902 | − | 0.0144511i | ||||
\(25\) | −0.514306 | − | 1.58287i | −0.102861 | − | 0.316574i | ||||
\(26\) | −0.616186 | + | 1.89642i | −0.120844 | + | 0.371920i | ||||
\(27\) | 0.806273 | + | 0.585792i | 0.155167 | + | 0.112736i | ||||
\(28\) | 3.23304 | + | 2.34894i | 0.610987 | + | 0.443908i | ||||
\(29\) | −2.68126 | + | 8.25206i | −0.497897 | + | 1.53237i | 0.314497 | + | 0.949259i | \(0.398164\pi\) |
−0.812393 | + | 0.583110i | \(0.801836\pi\) | |||||||
\(30\) | −2.84573 | − | 8.75826i | −0.519557 | − | 1.59903i | ||||
\(31\) | 2.14284 | − | 1.55686i | 0.384865 | − | 0.279621i | −0.378483 | − | 0.925608i | \(-0.623554\pi\) |
0.763348 | + | 0.645987i | \(0.223554\pi\) | |||||||
\(32\) | 7.97494 | 1.40978 | ||||||||
\(33\) | −1.06580 | + | 8.31862i | −0.185532 | + | 1.44809i | ||||
\(34\) | 3.30826 | 0.567362 | ||||||||
\(35\) | −2.98807 | + | 2.17096i | −0.505076 | + | 0.366959i | ||||
\(36\) | 2.07263 | + | 6.37890i | 0.345438 | + | 1.06315i | ||||
\(37\) | 0.429275 | − | 1.32117i | 0.0705723 | − | 0.217199i | −0.909550 | − | 0.415595i | \(-0.863573\pi\) |
0.980122 | + | 0.198396i | \(0.0635732\pi\) | |||||||
\(38\) | −3.18720 | − | 2.31564i | −0.517033 | − | 0.375646i | ||||
\(39\) | 2.04573 | + | 1.48631i | 0.327579 | + | 0.238000i | ||||
\(40\) | −0.0268826 | + | 0.0827360i | −0.00425050 | + | 0.0130817i | ||||
\(41\) | −2.86998 | − | 8.83290i | −0.448216 | − | 1.37947i | −0.878918 | − | 0.476973i | \(-0.841734\pi\) |
0.430701 | − | 0.902494i | \(-0.358266\pi\) | |||||||
\(42\) | 8.24934 | − | 5.99350i | 1.27290 | − | 0.924816i | ||||
\(43\) | −12.8417 | −1.95834 | −0.979168 | − | 0.203053i | \(-0.934914\pi\) | ||||
−0.979168 | + | 0.203053i | \(0.934914\pi\) | |||||||
\(44\) | −4.49496 | + | 4.76976i | −0.677641 | + | 0.719068i | ||||
\(45\) | −6.19897 | −0.924088 | ||||||||
\(46\) | 6.35478 | − | 4.61702i | 0.936961 | − | 0.680742i | ||||
\(47\) | −1.90279 | − | 5.85620i | −0.277551 | − | 0.854214i | −0.988533 | − | 0.151004i | \(-0.951749\pi\) |
0.710982 | − | 0.703210i | \(-0.248251\pi\) | |||||||
\(48\) | 3.16248 | − | 9.73312i | 0.456465 | − | 1.40485i | ||||
\(49\) | 2.35455 | + | 1.71068i | 0.336364 | + | 0.244383i | ||||
\(50\) | −2.68489 | − | 1.95069i | −0.379701 | − | 0.275869i | ||||
\(51\) | 1.29641 | − | 3.98995i | 0.181534 | − | 0.558704i | ||||
\(52\) | 0.610652 | + | 1.87939i | 0.0846823 | + | 0.260625i | ||||
\(53\) | −9.98909 | + | 7.25750i | −1.37211 | + | 0.996894i | −0.374538 | + | 0.927212i | \(0.622199\pi\) |
−0.997569 | + | 0.0696824i | \(0.977801\pi\) | |||||||
\(54\) | 1.98726 | 0.270431 | ||||||||
\(55\) | −2.90882 | − | 5.31330i | −0.392225 | − | 0.716445i | ||||
\(56\) | −0.0963248 | −0.0128719 | ||||||||
\(57\) | −4.04176 | + | 2.93651i | −0.535345 | + | 0.388951i | ||||
\(58\) | 5.34648 | + | 16.4548i | 0.702027 | + | 2.16062i | ||||
\(59\) | −1.23989 | + | 3.81599i | −0.161420 | + | 0.496799i | −0.998755 | − | 0.0498911i | \(-0.984113\pi\) |
0.837335 | + | 0.546691i | \(0.184113\pi\) | |||||||
\(60\) | −7.38332 | − | 5.36429i | −0.953182 | − | 0.692527i | ||||
\(61\) | 12.5865 | + | 9.14460i | 1.61153 | + | 1.17085i | 0.858408 | + | 0.512968i | \(0.171454\pi\) |
0.753124 | + | 0.657878i | \(0.228546\pi\) | |||||||
\(62\) | 1.63209 | − | 5.02305i | 0.207275 | − | 0.637928i | ||||
\(63\) | −2.12105 | − | 6.52793i | −0.267228 | − | 0.822442i | ||||
\(64\) | 6.31662 | − | 4.58929i | 0.789578 | − | 0.573662i | ||||
\(65\) | −1.82638 | −0.226535 | ||||||||
\(66\) | 8.03054 | + | 14.6687i | 0.988491 | + | 1.80560i | ||||
\(67\) | 6.46440 | 0.789753 | 0.394876 | − | 0.918734i | \(-0.370787\pi\) | ||||
0.394876 | + | 0.918734i | \(0.370787\pi\) | |||||||
\(68\) | 2.65240 | − | 1.92708i | 0.321651 | − | 0.233693i | ||||
\(69\) | −3.07813 | − | 9.47350i | −0.370563 | − | 1.14048i | ||||
\(70\) | −2.27586 | + | 7.00437i | −0.272017 | + | 0.837182i | ||||
\(71\) | −2.88721 | − | 2.09768i | −0.342649 | − | 0.248949i | 0.403130 | − | 0.915143i | \(-0.367922\pi\) |
−0.745779 | + | 0.666194i | \(0.767922\pi\) | |||||||
\(72\) | −0.130792 | − | 0.0950261i | −0.0154140 | − | 0.0111989i | ||||
\(73\) | 0.140323 | − | 0.431870i | 0.0164236 | − | 0.0505466i | −0.942509 | − | 0.334181i | \(-0.891540\pi\) |
0.958932 | + | 0.283635i | \(0.0915403\pi\) | |||||||
\(74\) | −0.855982 | − | 2.63444i | −0.0995059 | − | 0.306248i | ||||
\(75\) | −3.40477 | + | 2.47371i | −0.393149 | + | 0.285639i | ||||
\(76\) | −3.90422 | −0.447845 | ||||||||
\(77\) | 4.59998 | − | 4.88119i | 0.524216 | − | 0.556264i | ||||
\(78\) | 5.04220 | 0.570917 | ||||||||
\(79\) | 3.90340 | − | 2.83598i | 0.439166 | − | 0.319073i | −0.346137 | − | 0.938184i | \(-0.612507\pi\) |
0.785304 | + | 0.619111i | \(0.212507\pi\) | |||||||
\(80\) | 2.28417 | + | 7.02996i | 0.255378 | + | 0.785974i | ||||
\(81\) | −2.36778 | + | 7.28727i | −0.263086 | + | 0.809697i | ||||
\(82\) | −14.9825 | − | 10.8854i | −1.65454 | − | 1.20209i | ||||
\(83\) | −6.13034 | − | 4.45395i | −0.672892 | − | 0.488885i | 0.198100 | − | 0.980182i | \(-0.436523\pi\) |
−0.870992 | + | 0.491297i | \(0.836523\pi\) | |||||||
\(84\) | 3.12267 | − | 9.61059i | 0.340711 | − | 1.04860i | ||||
\(85\) | 0.936363 | + | 2.88183i | 0.101563 | + | 0.312578i | ||||
\(86\) | −20.7161 | + | 15.0511i | −2.23388 | + | 1.62301i | ||||
\(87\) | 21.9405 | 2.35227 | ||||||||
\(88\) | 0.0200762 | − | 0.156696i | 0.00214013 | − | 0.0167038i | ||||
\(89\) | −2.42469 | −0.257016 | −0.128508 | − | 0.991708i | \(-0.541019\pi\) | ||||
−0.128508 | + | 0.991708i | \(0.541019\pi\) | |||||||
\(90\) | −10.0001 | + | 7.26553i | −1.05411 | + | 0.765854i | ||||
\(91\) | −0.624919 | − | 1.92330i | −0.0655093 | − | 0.201617i | ||||
\(92\) | 2.40551 | − | 7.40341i | 0.250792 | − | 0.771858i | ||||
\(93\) | −5.41852 | − | 3.93678i | −0.561874 | − | 0.408225i | ||||
\(94\) | −9.93336 | − | 7.21701i | −1.02455 | − | 0.744378i | ||||
\(95\) | 1.11506 | − | 3.43179i | 0.114402 | − | 0.352094i | ||||
\(96\) | −6.23161 | − | 19.1789i | −0.636011 | − | 1.95744i | ||||
\(97\) | 13.8540 | − | 10.0655i | 1.40666 | − | 1.02200i | 0.412861 | − | 0.910794i | \(-0.364530\pi\) |
0.993798 | − | 0.111203i | \(-0.0354703\pi\) | |||||||
\(98\) | 5.80335 | 0.586227 | ||||||||
\(99\) | 11.0614 | − | 2.08985i | 1.11171 | − | 0.210038i | ||||
\(100\) | −3.28890 | −0.328890 | ||||||||
\(101\) | 2.00155 | − | 1.45421i | 0.199162 | − | 0.144699i | −0.483735 | − | 0.875215i | \(-0.660720\pi\) |
0.682896 | + | 0.730515i | \(0.260720\pi\) | |||||||
\(102\) | −2.58507 | − | 7.95603i | −0.255960 | − | 0.787765i | ||||
\(103\) | 4.36741 | − | 13.4415i | 0.430334 | − | 1.32443i | −0.467459 | − | 0.884015i | \(-0.654831\pi\) |
0.897793 | − | 0.440417i | \(-0.145169\pi\) | |||||||
\(104\) | −0.0385349 | − | 0.0279972i | −0.00377866 | − | 0.00274536i | ||||
\(105\) | 7.55582 | + | 5.48962i | 0.737372 | + | 0.535732i | ||||
\(106\) | −7.60817 | + | 23.4155i | −0.738970 | + | 2.27432i | ||||
\(107\) | 1.47259 | + | 4.53218i | 0.142361 | + | 0.438142i | 0.996662 | − | 0.0816362i | \(-0.0260146\pi\) |
−0.854301 | + | 0.519778i | \(0.826015\pi\) | |||||||
\(108\) | 1.59329 | − | 1.15759i | 0.153314 | − | 0.111389i | ||||
\(109\) | 3.10047 | 0.296972 | 0.148486 | − | 0.988915i | \(-0.452560\pi\) | ||||
0.148486 | + | 0.988915i | \(0.452560\pi\) | |||||||
\(110\) | −10.9200 | − | 5.16210i | −1.04118 | − | 0.492187i | ||||
\(111\) | −3.51272 | −0.333413 | ||||||||
\(112\) | −6.62147 | + | 4.81078i | −0.625670 | + | 0.454576i | ||||
\(113\) | −4.21048 | − | 12.9585i | −0.396089 | − | 1.21904i | −0.928111 | − | 0.372305i | \(-0.878568\pi\) |
0.532022 | − | 0.846731i | \(-0.321432\pi\) | |||||||
\(114\) | −3.07840 | + | 9.47434i | −0.288319 | + | 0.887353i | ||||
\(115\) | 5.82053 | + | 4.22887i | 0.542768 | + | 0.394344i | ||||
\(116\) | 13.8716 | + | 10.0783i | 1.28794 | + | 0.935744i | ||||
\(117\) | 1.04884 | − | 3.22800i | 0.0969655 | − | 0.298429i | ||||
\(118\) | 2.47236 | + | 7.60915i | 0.227600 | + | 0.700479i | ||||
\(119\) | −2.71437 | + | 1.97211i | −0.248826 | + | 0.180783i | ||||
\(120\) | 0.219978 | 0.0200811 | ||||||||
\(121\) | 6.98172 | + | 8.50033i | 0.634702 | + | 0.772757i | ||||
\(122\) | 31.0224 | 2.80864 | ||||||||
\(123\) | −18.9996 | + | 13.8040i | −1.71314 | + | 1.24467i | ||||
\(124\) | −1.61743 | − | 4.97795i | −0.145250 | − | 0.447033i | ||||
\(125\) | 3.76123 | − | 11.5759i | 0.336415 | − | 1.03538i | ||||
\(126\) | −11.0728 | − | 8.04484i | −0.986441 | − | 0.716691i | ||||
\(127\) | 8.73609 | + | 6.34714i | 0.775203 | + | 0.563218i | 0.903535 | − | 0.428514i | \(-0.140963\pi\) |
−0.128333 | + | 0.991731i | \(0.540963\pi\) | |||||||
\(128\) | −0.117744 | + | 0.362378i | −0.0104072 | + | 0.0320300i | ||||
\(129\) | 10.0345 | + | 30.8829i | 0.883485 | + | 2.71909i | ||||
\(130\) | −2.94631 | + | 2.14062i | −0.258409 | + | 0.187745i | ||||
\(131\) | 6.07019 | 0.530355 | 0.265178 | − | 0.964200i | \(-0.414569\pi\) | ||||
0.265178 | + | 0.964200i | \(0.414569\pi\) | |||||||
\(132\) | 14.9831 | + | 7.08284i | 1.30412 | + | 0.616482i | ||||
\(133\) | 3.99544 | 0.346448 | ||||||||
\(134\) | 10.4283 | − | 7.57664i | 0.900872 | − | 0.654522i | ||||
\(135\) | 0.562469 | + | 1.73110i | 0.0484096 | + | 0.148990i | ||||
\(136\) | −0.0244202 | + | 0.0751577i | −0.00209401 | + | 0.00644472i | ||||
\(137\) | −14.7712 | − | 10.7319i | −1.26199 | − | 0.916890i | −0.263137 | − | 0.964758i | \(-0.584757\pi\) |
−0.998854 | + | 0.0478684i | \(0.984757\pi\) | |||||||
\(138\) | −16.0691 | − | 11.6749i | −1.36789 | − | 0.993831i | ||||
\(139\) | −1.98294 | + | 6.10287i | −0.168191 | + | 0.517639i | −0.999257 | − | 0.0385348i | \(-0.987731\pi\) |
0.831066 | + | 0.556173i | \(0.187731\pi\) | |||||||
\(140\) | 2.25542 | + | 6.94147i | 0.190618 | + | 0.586661i | ||||
\(141\) | −12.5967 | + | 9.15205i | −1.06084 | + | 0.770742i | ||||
\(142\) | −7.11623 | −0.597181 | ||||||||
\(143\) | 3.25897 | − | 0.615726i | 0.272529 | − | 0.0514896i | ||||
\(144\) | −13.7367 | −1.14473 | ||||||||
\(145\) | −12.8205 | + | 9.31464i | −1.06468 | + | 0.773539i | ||||
\(146\) | −0.279807 | − | 0.861157i | −0.0231570 | − | 0.0712699i | ||||
\(147\) | 2.27417 | − | 6.99917i | 0.187570 | − | 0.577282i | ||||
\(148\) | −2.22087 | − | 1.61355i | −0.182554 | − | 0.132633i | ||||
\(149\) | −10.0445 | − | 7.29778i | −0.822880 | − | 0.597857i | 0.0946562 | − | 0.995510i | \(-0.469825\pi\) |
−0.917536 | + | 0.397653i | \(0.869825\pi\) | |||||||
\(150\) | −2.59323 | + | 7.98115i | −0.211737 | + | 0.651658i | ||||
\(151\) | 5.51481 | + | 16.9729i | 0.448789 | + | 1.38123i | 0.878274 | + | 0.478157i | \(0.158695\pi\) |
−0.429485 | + | 0.903074i | \(0.641305\pi\) | |||||||
\(152\) | 0.0761337 | − | 0.0553144i | 0.00617526 | − | 0.00448659i | ||||
\(153\) | −5.63116 | −0.455253 | ||||||||
\(154\) | 1.69963 | − | 13.2657i | 0.136960 | − | 1.06898i | ||||
\(155\) | 4.83753 | 0.388560 | ||||||||
\(156\) | 4.04259 | − | 2.93712i | 0.323666 | − | 0.235157i | ||||
\(157\) | −4.76001 | − | 14.6498i | −0.379890 | − | 1.16918i | −0.940120 | − | 0.340844i | \(-0.889287\pi\) |
0.560229 | − | 0.828337i | \(-0.310713\pi\) | |||||||
\(158\) | 2.97301 | − | 9.14999i | 0.236520 | − | 0.727934i | ||||
\(159\) | 25.2590 | + | 18.3518i | 2.00317 | + | 1.45539i | ||||
\(160\) | 11.7836 | + | 8.56126i | 0.931572 | + | 0.676827i | ||||
\(161\) | −2.46171 | + | 7.57637i | −0.194010 | + | 0.597102i | ||||
\(162\) | 4.72139 | + | 14.5310i | 0.370948 | + | 1.14166i | ||||
\(163\) | −2.68893 | + | 1.95362i | −0.210613 | + | 0.153019i | −0.688091 | − | 0.725624i | \(-0.741551\pi\) |
0.477478 | + | 0.878644i | \(0.341551\pi\) | |||||||
\(164\) | −18.3531 | −1.43313 | ||||||||
\(165\) | −10.5050 | + | 11.1472i | −0.817813 | + | 0.867810i | ||||
\(166\) | −15.1097 | −1.17274 | ||||||||
\(167\) | 4.04908 | − | 2.94183i | 0.313327 | − | 0.227645i | −0.419996 | − | 0.907526i | \(-0.637968\pi\) |
0.733323 | + | 0.679881i | \(0.237968\pi\) | |||||||
\(168\) | 0.0752681 | + | 0.231651i | 0.00580706 | + | 0.0178723i | ||||
\(169\) | 0.309017 | − | 0.951057i | 0.0237705 | − | 0.0731582i | ||||
\(170\) | 4.88820 | + | 3.55148i | 0.374908 | + | 0.272386i | ||||
\(171\) | 5.42511 | + | 3.94157i | 0.414868 | + | 0.301419i | ||||
\(172\) | −7.84179 | + | 24.1346i | −0.597931 | + | 1.84024i | ||||
\(173\) | 5.12198 | + | 15.7638i | 0.389417 | + | 1.19850i | 0.933225 | + | 0.359293i | \(0.116982\pi\) |
−0.543808 | + | 0.839210i | \(0.683018\pi\) | |||||||
\(174\) | 35.3943 | − | 25.7155i | 2.68324 | − | 1.94948i | ||||
\(175\) | 3.36574 | 0.254426 | ||||||||
\(176\) | −6.44585 | − | 11.7741i | −0.485874 | − | 0.887506i | ||||
\(177\) | 10.1459 | 0.762614 | ||||||||
\(178\) | −3.91149 | + | 2.84187i | −0.293179 | + | 0.213007i | ||||
\(179\) | 6.91562 | + | 21.2841i | 0.516898 | + | 1.59085i | 0.779803 | + | 0.626025i | \(0.215319\pi\) |
−0.262905 | + | 0.964822i | \(0.584681\pi\) | |||||||
\(180\) | −3.78542 | + | 11.6503i | −0.282148 | + | 0.868363i | ||||
\(181\) | −3.27828 | − | 2.38181i | −0.243673 | − | 0.177039i | 0.459245 | − | 0.888310i | \(-0.348120\pi\) |
−0.702918 | + | 0.711271i | \(0.748120\pi\) | |||||||
\(182\) | −3.26233 | − | 2.37023i | −0.241820 | − | 0.175693i | ||||
\(183\) | 12.1568 | − | 37.4148i | 0.898656 | − | 2.76578i | ||||
\(184\) | 0.0579819 | + | 0.178450i | 0.00427448 | + | 0.0131555i | ||||
\(185\) | 2.05259 | − | 1.49129i | 0.150909 | − | 0.109642i | ||||
\(186\) | −13.3552 | −0.979254 | ||||||||
\(187\) | −2.64238 | − | 4.82662i | −0.193230 | − | 0.352957i | ||||
\(188\) | −12.1680 | −0.887446 | ||||||||
\(189\) | −1.63051 | + | 1.18464i | −0.118602 | + | 0.0861696i | ||||
\(190\) | −2.22344 | − | 6.84305i | −0.161306 | − | 0.496447i | ||||
\(191\) | 0.832738 | − | 2.56290i | 0.0602548 | − | 0.185445i | −0.916398 | − | 0.400267i | \(-0.868917\pi\) |
0.976653 | + | 0.214822i | \(0.0689172\pi\) | |||||||
\(192\) | −15.9726 | − | 11.6048i | −1.15272 | − | 0.837502i | ||||
\(193\) | −4.25463 | − | 3.09117i | −0.306255 | − | 0.222507i | 0.424033 | − | 0.905647i | \(-0.360614\pi\) |
−0.730288 | + | 0.683140i | \(0.760614\pi\) | |||||||
\(194\) | 10.5518 | − | 32.4752i | 0.757579 | − | 2.33159i | ||||
\(195\) | 1.42713 | + | 4.39226i | 0.102199 | + | 0.314537i | ||||
\(196\) | 4.65285 | − | 3.38049i | 0.332346 | − | 0.241464i | ||||
\(197\) | −3.83577 | −0.273287 | −0.136644 | − | 0.990620i | \(-0.543632\pi\) | ||||
−0.136644 | + | 0.990620i | \(0.543632\pi\) | |||||||
\(198\) | 15.3947 | − | 16.3358i | 1.09405 | − | 1.16094i | ||||
\(199\) | −9.11289 | −0.645996 | −0.322998 | − | 0.946400i | \(-0.604691\pi\) | ||||
−0.322998 | + | 0.946400i | \(0.604691\pi\) | |||||||
\(200\) | 0.0641348 | − | 0.0465966i | 0.00453501 | − | 0.00329488i | ||||
\(201\) | −5.05128 | − | 15.5462i | −0.356290 | − | 1.09655i | ||||
\(202\) | 1.52448 | − | 4.69185i | 0.107262 | − | 0.330118i | ||||
\(203\) | −14.1956 | − | 10.3137i | −0.996339 | − | 0.723882i | ||||
\(204\) | −6.70703 | − | 4.87294i | −0.469586 | − | 0.341174i | ||||
\(205\) | 5.24169 | − | 16.1323i | 0.366095 | − | 1.12673i | ||||
\(206\) | −8.70871 | − | 26.8026i | −0.606764 | − | 1.86743i | ||||
\(207\) | −10.8168 | + | 7.85887i | −0.751820 | + | 0.546229i | ||||
\(208\) | −4.04720 | −0.280623 | ||||||||
\(209\) | −0.832736 | + | 6.49955i | −0.0576015 | + | 0.449583i | ||||
\(210\) | 18.6231 | 1.28512 | ||||||||
\(211\) | 3.87608 | − | 2.81614i | 0.266840 | − | 0.193871i | −0.446317 | − | 0.894875i | \(-0.647265\pi\) |
0.713157 | + | 0.701004i | \(0.247265\pi\) | |||||||
\(212\) | 7.53984 | + | 23.2053i | 0.517839 | + | 1.59374i | ||||
\(213\) | −2.78865 | + | 8.58257i | −0.191075 | + | 0.588068i | ||||
\(214\) | 7.68754 | + | 5.58533i | 0.525509 | + | 0.381805i | ||||
\(215\) | −18.9745 | − | 13.7858i | −1.29405 | − | 0.940183i | ||||
\(216\) | −0.0146691 | + | 0.0451469i | −0.000998106 | + | 0.00307186i | ||||
\(217\) | 1.65522 | + | 5.09425i | 0.112364 | + | 0.345820i | ||||
\(218\) | 5.00167 | − | 3.63393i | 0.338756 | − | 0.246121i | ||||
\(219\) | −1.14825 | −0.0775917 | ||||||||
\(220\) | −11.7621 | + | 2.22224i | −0.792998 | + | 0.149823i | ||||
\(221\) | −1.65909 | −0.111603 | ||||||||
\(222\) | −5.66670 | + | 4.11710i | −0.380324 | + | 0.276322i | ||||
\(223\) | 2.56480 | + | 7.89364i | 0.171752 | + | 0.528598i | 0.999470 | − | 0.0325460i | \(-0.0103616\pi\) |
−0.827718 | + | 0.561144i | \(0.810362\pi\) | |||||||
\(224\) | −4.98369 | + | 15.3382i | −0.332987 | + | 1.02483i | ||||
\(225\) | 4.57009 | + | 3.32036i | 0.304673 | + | 0.221358i | ||||
\(226\) | −21.9804 | − | 15.9697i | −1.46212 | − | 1.06229i | ||||
\(227\) | 3.75957 | − | 11.5708i | 0.249532 | − | 0.767979i | −0.745326 | − | 0.666700i | \(-0.767706\pi\) |
0.994858 | − | 0.101280i | \(-0.0322937\pi\) | |||||||
\(228\) | 3.05076 | + | 9.38926i | 0.202041 | + | 0.621819i | ||||
\(229\) | 20.8306 | − | 15.1344i | 1.37653 | − | 1.00011i | 0.379333 | − | 0.925260i | \(-0.376154\pi\) |
0.997195 | − | 0.0748459i | \(-0.0238465\pi\) | |||||||
\(230\) | 14.3461 | 0.945955 | ||||||||
\(231\) | −15.3332 | − | 7.24832i | −1.00885 | − | 0.476904i | ||||
\(232\) | −0.413288 | −0.0271337 | ||||||||
\(233\) | 9.49193 | − | 6.89629i | 0.621837 | − | 0.451791i | −0.231726 | − | 0.972781i | \(-0.574437\pi\) |
0.853563 | + | 0.520990i | \(0.174437\pi\) | |||||||
\(234\) | −2.09141 | − | 6.43670i | −0.136720 | − | 0.420780i | ||||
\(235\) | 3.47523 | − | 10.6956i | 0.226699 | − | 0.697707i | ||||
\(236\) | 6.41461 | + | 4.66049i | 0.417555 | + | 0.303372i | ||||
\(237\) | −9.87037 | − | 7.17124i | −0.641149 | − | 0.465822i | ||||
\(238\) | −2.06740 | + | 6.36279i | −0.134009 | + | 0.412438i | ||||
\(239\) | 1.34043 | + | 4.12541i | 0.0867050 | + | 0.266850i | 0.985003 | − | 0.172536i | \(-0.0551960\pi\) |
−0.898298 | + | 0.439386i | \(0.855196\pi\) | |||||||
\(240\) | 15.1215 | − | 10.9864i | 0.976089 | − | 0.709170i | ||||
\(241\) | 19.2973 | 1.24305 | 0.621525 | − | 0.783394i | \(-0.286513\pi\) | ||||
0.621525 | + | 0.783394i | \(0.286513\pi\) | |||||||
\(242\) | 21.2257 | + | 5.52974i | 1.36444 | + | 0.355465i | ||||
\(243\) | 22.3652 | 1.43473 | ||||||||
\(244\) | 24.8723 | − | 18.0708i | 1.59228 | − | 1.15686i | ||||
\(245\) | 1.64257 | + | 5.05531i | 0.104940 | + | 0.322972i | ||||
\(246\) | −14.4710 | + | 44.5373i | −0.922639 | + | 2.83959i | ||||
\(247\) | 1.59838 | + | 1.16129i | 0.101703 | + | 0.0738912i | ||||
\(248\) | 0.102067 | + | 0.0741562i | 0.00648127 | + | 0.00470892i | ||||
\(249\) | −5.92106 | + | 18.2232i | −0.375232 | + | 1.15485i | ||||
\(250\) | −7.49997 | − | 23.0825i | −0.474340 | − | 1.45987i | ||||
\(251\) | −6.91027 | + | 5.02060i | −0.436172 | + | 0.316898i | −0.784112 | − | 0.620619i | \(-0.786881\pi\) |
0.347940 | + | 0.937517i | \(0.386881\pi\) | |||||||
\(252\) | −13.5638 | −0.854439 | ||||||||
\(253\) | −11.8117 | − | 5.58366i | −0.742598 | − | 0.351042i | ||||
\(254\) | 21.5322 | 1.35105 | ||||||||
\(255\) | 6.19884 | − | 4.50372i | 0.388186 | − | 0.282034i | ||||
\(256\) | 5.06025 | + | 15.5739i | 0.316266 | + | 0.973366i | ||||
\(257\) | −5.46992 | + | 16.8347i | −0.341204 | + | 1.05012i | 0.622381 | + | 0.782715i | \(0.286166\pi\) |
−0.963585 | + | 0.267403i | \(0.913834\pi\) | |||||||
\(258\) | 52.3840 | + | 38.0592i | 3.26129 | + | 2.36946i | ||||
\(259\) | 2.27275 | + | 1.65125i | 0.141222 | + | 0.102604i | ||||
\(260\) | −1.11528 | + | 3.43249i | −0.0691670 | + | 0.212874i | ||||
\(261\) | −9.10052 | − | 28.0085i | −0.563308 | − | 1.73368i | ||||
\(262\) | 9.79241 | − | 7.11460i | 0.604977 | − | 0.439541i | ||||
\(263\) | −25.9704 | −1.60140 | −0.800701 | − | 0.599064i | \(-0.795539\pi\) | ||||
−0.800701 | + | 0.599064i | \(0.795539\pi\) | |||||||
\(264\) | −0.392525 | + | 0.0741608i | −0.0241582 | + | 0.00456428i | ||||
\(265\) | −22.5507 | −1.38528 | ||||||||
\(266\) | 6.44542 | − | 4.68287i | 0.395194 | − | 0.287125i | ||||
\(267\) | 1.89465 | + | 5.83113i | 0.115951 | + | 0.356859i | ||||
\(268\) | 3.94750 | − | 12.1492i | 0.241132 | − | 0.742129i | ||||
\(269\) | −17.0801 | − | 12.4094i | −1.04139 | − | 0.756614i | −0.0708331 | − | 0.997488i | \(-0.522566\pi\) |
−0.970556 | + | 0.240875i | \(0.922566\pi\) | |||||||
\(270\) | 2.93632 | + | 2.13336i | 0.178699 | + | 0.129832i | ||||
\(271\) | −0.315758 | + | 0.971802i | −0.0191809 | + | 0.0590328i | −0.960189 | − | 0.279352i | \(-0.909880\pi\) |
0.941008 | + | 0.338385i | \(0.109880\pi\) | |||||||
\(272\) | 2.07495 | + | 6.38604i | 0.125812 | + | 0.387211i | ||||
\(273\) | −4.13704 | + | 3.00574i | −0.250385 | + | 0.181915i | ||||
\(274\) | −36.4073 | −2.19944 | ||||||||
\(275\) | −0.701493 | + | 5.47520i | −0.0423016 | + | 0.330167i | ||||
\(276\) | −19.6841 | −1.18484 | ||||||||
\(277\) | 1.63775 | − | 1.18989i | 0.0984027 | − | 0.0714937i | −0.537496 | − | 0.843266i | \(-0.680630\pi\) |
0.635899 | + | 0.771773i | \(0.280630\pi\) | |||||||
\(278\) | 3.95402 | + | 12.1692i | 0.237147 | + | 0.729862i | ||||
\(279\) | −2.77806 | + | 8.55000i | −0.166318 | + | 0.511875i | ||||
\(280\) | −0.142327 | − | 0.103407i | −0.00850567 | − | 0.00617973i | ||||
\(281\) | 22.9189 | + | 16.6515i | 1.36722 | + | 0.993347i | 0.997948 | + | 0.0640269i | \(0.0203943\pi\) |
0.369276 | + | 0.929320i | \(0.379606\pi\) | |||||||
\(282\) | −9.59426 | + | 29.5281i | −0.571330 | + | 1.75837i | ||||
\(283\) | −3.04057 | − | 9.35790i | −0.180743 | − | 0.556270i | 0.819106 | − | 0.573642i | \(-0.194470\pi\) |
−0.999849 | + | 0.0173724i | \(0.994470\pi\) | |||||||
\(284\) | −5.70545 | + | 4.14525i | −0.338556 | + | 0.245976i | ||||
\(285\) | −9.12441 | −0.540484 | ||||||||
\(286\) | 4.53569 | − | 4.81298i | 0.268201 | − | 0.284597i | ||||
\(287\) | 18.7819 | 1.10866 | ||||||||
\(288\) | −21.8984 | + | 15.9101i | −1.29038 | + | 0.937514i | ||||
\(289\) | −4.40269 | − | 13.5501i | −0.258982 | − | 0.797065i | ||||
\(290\) | −9.76471 | + | 30.0527i | −0.573403 | + | 1.76475i | ||||
\(291\) | −35.0320 | − | 25.4522i | −2.05361 | − | 1.49204i | ||||
\(292\) | −0.725966 | − | 0.527445i | −0.0424839 | − | 0.0308664i | ||||
\(293\) | −5.69889 | + | 17.5394i | −0.332933 | + | 1.02466i | 0.634799 | + | 0.772678i | \(0.281083\pi\) |
−0.967731 | + | 0.251984i | \(0.918917\pi\) | |||||||
\(294\) | −4.53473 | − | 13.9565i | −0.264471 | − | 0.813958i | ||||
\(295\) | −5.92857 | + | 4.30736i | −0.345175 | + | 0.250784i | ||||
\(296\) | 0.0661682 | 0.00384595 | ||||||||
\(297\) | −1.58727 | − | 2.89933i | −0.0921025 | − | 0.168236i | ||||
\(298\) | −24.7572 | −1.43415 | ||||||||
\(299\) | −3.18692 | + | 2.31543i | −0.184304 | + | 0.133905i | ||||
\(300\) | 2.56995 | + | 7.90948i | 0.148376 | + | 0.456654i | ||||
\(301\) | 8.02500 | − | 24.6984i | 0.462554 | − | 1.42359i | ||||
\(302\) | 28.7896 | + | 20.9169i | 1.65665 | + | 1.20363i | ||||
\(303\) | −5.06124 | − | 3.67721i | −0.290761 | − | 0.211250i | ||||
\(304\) | 2.47093 | − | 7.60474i | 0.141717 | − | 0.436162i | ||||
\(305\) | 8.78052 | + | 27.0237i | 0.502771 | + | 1.54737i | ||||
\(306\) | −9.08417 | + | 6.60003i | −0.519307 | + | 0.377299i | ||||
\(307\) | −16.1262 | −0.920370 | −0.460185 | − | 0.887823i | \(-0.652217\pi\) | ||||
−0.460185 | + | 0.887823i | \(0.652217\pi\) | |||||||
\(308\) | −6.36470 | − | 11.6259i | −0.362663 | − | 0.662446i | ||||
\(309\) | −35.7382 | −2.03307 | ||||||||
\(310\) | 7.80388 | − | 5.66985i | 0.443231 | − | 0.322026i | ||||
\(311\) | 6.74096 | + | 20.7465i | 0.382245 | + | 1.17643i | 0.938459 | + | 0.345390i | \(0.112253\pi\) |
−0.556214 | + | 0.831039i | \(0.687747\pi\) | |||||||
\(312\) | −0.0372194 | + | 0.114550i | −0.00210713 | + | 0.00648509i | ||||
\(313\) | 10.4568 | + | 7.59733i | 0.591055 | + | 0.429427i | 0.842693 | − | 0.538395i | \(-0.180969\pi\) |
−0.251638 | + | 0.967822i | \(0.580969\pi\) | |||||||
\(314\) | −24.8492 | − | 18.0540i | −1.40232 | − | 1.01885i | ||||
\(315\) | 3.87386 | − | 11.9225i | 0.218267 | − | 0.671757i | ||||
\(316\) | −2.94631 | − | 9.06782i | −0.165743 | − | 0.510105i | ||||
\(317\) | 3.79665 | − | 2.75843i | 0.213241 | − | 0.154929i | −0.476038 | − | 0.879425i | \(-0.657927\pi\) |
0.689279 | + | 0.724496i | \(0.257927\pi\) | |||||||
\(318\) | 62.2570 | 3.49120 | ||||||||
\(319\) | 19.7365 | − | 20.9431i | 1.10503 | − | 1.17259i | ||||
\(320\) | 14.2600 | 0.797157 | ||||||||
\(321\) | 9.74874 | − | 7.08288i | 0.544122 | − | 0.395328i | ||||
\(322\) | 4.90870 | + | 15.1074i | 0.273551 | + | 0.841905i | ||||
\(323\) | 1.01292 | − | 3.11745i | 0.0563604 | − | 0.173460i | ||||
\(324\) | 12.2498 | + | 8.89998i | 0.680543 | + | 0.494443i | ||||
\(325\) | 1.34647 | + | 0.978268i | 0.0746887 | + | 0.0542646i | ||||
\(326\) | −2.04801 | + | 6.30314i | −0.113429 | + | 0.349099i | ||||
\(327\) | −2.42271 | − | 7.45633i | −0.133976 | − | 0.412336i | ||||
\(328\) | 0.357892 | − | 0.260023i | 0.0197613 | − | 0.0143574i | ||||
\(329\) | 12.4523 | 0.686519 | ||||||||
\(330\) | −3.88147 | + | 30.2951i | −0.213668 | + | 1.66769i | ||||
\(331\) | −11.2076 | −0.616027 | −0.308014 | − | 0.951382i | \(-0.599664\pi\) | ||||
−0.308014 | + | 0.951382i | \(0.599664\pi\) | |||||||
\(332\) | −12.1142 | + | 8.80151i | −0.664855 | + | 0.483046i | ||||
\(333\) | 1.45701 | + | 4.48422i | 0.0798438 | + | 0.245734i | ||||
\(334\) | 3.08397 | − | 9.49148i | 0.168747 | − | 0.519351i | ||||
\(335\) | 9.55164 | + | 6.93967i | 0.521862 | + | 0.379155i | ||||
\(336\) | 16.7434 | + | 12.1648i | 0.913430 | + | 0.663646i | ||||
\(337\) | 1.87755 | − | 5.77850i | 0.102277 | − | 0.314775i | −0.886805 | − | 0.462144i | \(-0.847080\pi\) |
0.989082 | + | 0.147369i | \(0.0470804\pi\) | |||||||
\(338\) | −0.616186 | − | 1.89642i | −0.0335161 | − | 0.103152i | ||||
\(339\) | −27.8739 | + | 20.2516i | −1.51390 | + | 1.09991i | ||||
\(340\) | 5.98789 | 0.324739 | ||||||||
\(341\) | −8.63202 | + | 1.63087i | −0.467450 | + | 0.0883165i | ||||
\(342\) | 13.3715 | 0.723048 | ||||||||
\(343\) | −16.2140 | + | 11.7801i | −0.875472 | + | 0.636068i | ||||
\(344\) | −0.189017 | − | 0.581734i | −0.0101911 | − | 0.0313650i | ||||
\(345\) | 5.62183 | − | 17.3022i | 0.302669 | − | 0.931521i | ||||
\(346\) | 26.7388 | + | 19.4269i | 1.43749 | + | 1.04440i | ||||
\(347\) | 6.14470 | + | 4.46438i | 0.329865 | + | 0.239661i | 0.740373 | − | 0.672196i | \(-0.234649\pi\) |
−0.410509 | + | 0.911857i | \(0.634649\pi\) | |||||||
\(348\) | 13.3980 | − | 41.2349i | 0.718209 | − | 2.21042i | ||||
\(349\) | 6.94701 | + | 21.3807i | 0.371865 | + | 1.14448i | 0.945570 | + | 0.325420i | \(0.105506\pi\) |
−0.573705 | + | 0.819062i | \(0.694494\pi\) | |||||||
\(350\) | 5.42960 | − | 3.94483i | 0.290224 | − | 0.210860i | ||||
\(351\) | −0.996609 | −0.0531950 | ||||||||
\(352\) | −23.9127 | − | 11.3040i | −1.27455 | − | 0.602506i | ||||
\(353\) | 12.4405 | 0.662142 | 0.331071 | − | 0.943606i | \(-0.392590\pi\) | ||||
0.331071 | + | 0.943606i | \(0.392590\pi\) | |||||||
\(354\) | 16.3673 | − | 11.8916i | 0.869915 | − | 0.632030i | ||||
\(355\) | −2.01416 | − | 6.19896i | −0.106901 | − | 0.329006i | ||||
\(356\) | −1.48064 | + | 4.55694i | −0.0784738 | + | 0.241518i | ||||
\(357\) | 6.86373 | + | 4.98679i | 0.363267 | + | 0.263929i | ||||
\(358\) | 36.1024 | + | 26.2299i | 1.90807 | + | 1.38629i | ||||
\(359\) | −0.625944 | + | 1.92646i | −0.0330361 | + | 0.101675i | −0.966215 | − | 0.257738i | \(-0.917023\pi\) |
0.933179 | + | 0.359413i | \(0.117023\pi\) | |||||||
\(360\) | −0.0912427 | − | 0.280816i | −0.00480892 | − | 0.0148003i | ||||
\(361\) | 12.2134 | − | 8.87355i | 0.642810 | − | 0.467029i | ||||
\(362\) | −8.08013 | −0.424682 | ||||||||
\(363\) | 14.9869 | − | 23.4325i | 0.786610 | − | 1.22989i | ||||
\(364\) | −3.99626 | −0.209461 | ||||||||
\(365\) | 0.670959 | − | 0.487480i | 0.0351196 | − | 0.0255159i | ||||
\(366\) | −24.2409 | − | 74.6058i | −1.26709 | − | 3.89971i | ||||
\(367\) | −7.41086 | + | 22.8083i | −0.386844 | + | 1.19058i | 0.548290 | + | 0.836288i | \(0.315279\pi\) |
−0.935134 | + | 0.354294i | \(0.884721\pi\) | |||||||
\(368\) | 12.8981 | + | 9.37103i | 0.672361 | + | 0.488499i | ||||
\(369\) | 25.5025 | + | 18.5286i | 1.32761 | + | 0.964563i | ||||
\(370\) | 1.56335 | − | 4.81150i | 0.0812747 | − | 0.250138i | ||||
\(371\) | −7.71600 | − | 23.7474i | −0.400595 | − | 1.23290i | ||||
\(372\) | −10.7076 | + | 7.77952i | −0.555163 | + | 0.403350i | ||||
\(373\) | 3.81762 | 0.197669 | 0.0988343 | − | 0.995104i | \(-0.468489\pi\) | ||||
0.0988343 | + | 0.995104i | \(0.468489\pi\) | |||||||
\(374\) | −9.91974 | − | 4.68927i | −0.512937 | − | 0.242476i | ||||
\(375\) | −30.7779 | −1.58936 | ||||||||
\(376\) | 0.237281 | − | 0.172395i | 0.0122368 | − | 0.00889059i | ||||
\(377\) | −2.68126 | − | 8.25206i | −0.138092 | − | 0.425003i | ||||
\(378\) | −1.24188 | + | 3.82210i | −0.0638752 | + | 0.196588i | ||||
\(379\) | −5.70403 | − | 4.14422i | −0.292996 | − | 0.212874i | 0.431570 | − | 0.902080i | \(-0.357960\pi\) |
−0.724566 | + | 0.689205i | \(0.757960\pi\) | |||||||
\(380\) | −5.76878 | − | 4.19126i | −0.295932 | − | 0.215007i | ||||
\(381\) | 8.43786 | − | 25.9691i | 0.432285 | − | 1.33044i | ||||
\(382\) | −1.66049 | − | 5.11048i | −0.0849583 | − | 0.261475i | ||||
\(383\) | −22.7252 | + | 16.5109i | −1.16121 | + | 0.843665i | −0.989930 | − | 0.141558i | \(-0.954789\pi\) |
−0.171276 | + | 0.985223i | \(0.554789\pi\) | |||||||
\(384\) | 0.963488 | 0.0491678 | ||||||||
\(385\) | 12.0369 | − | 2.27416i | 0.613456 | − | 0.115902i | ||||
\(386\) | −10.4866 | −0.533752 | ||||||||
\(387\) | 35.2620 | − | 25.6193i | 1.79247 | − | 1.30230i | ||||
\(388\) | −10.4571 | − | 32.1836i | −0.530878 | − | 1.63388i | ||||
\(389\) | 0.886008 | − | 2.72685i | 0.0449224 | − | 0.138257i | −0.926080 | − | 0.377328i | \(-0.876843\pi\) |
0.971002 | + | 0.239071i | \(0.0768429\pi\) | |||||||
\(390\) | 7.45022 | + | 5.41290i | 0.377257 | + | 0.274093i | ||||
\(391\) | 5.28739 | + | 3.84152i | 0.267395 | + | 0.194274i | ||||
\(392\) | −0.0428379 | + | 0.131842i | −0.00216364 | + | 0.00665900i | ||||
\(393\) | −4.74324 | − | 14.5982i | −0.239265 | − | 0.736382i | ||||
\(394\) | −6.18785 | + | 4.49573i | −0.311739 | + | 0.226492i | ||||
\(395\) | 8.81204 | 0.443382 | ||||||||
\(396\) | 2.82699 | − | 22.0648i | 0.142061 | − | 1.10880i | ||||
\(397\) | −2.35269 | −0.118078 | −0.0590391 | − | 0.998256i | \(-0.518804\pi\) | ||||
−0.0590391 | + | 0.998256i | \(0.518804\pi\) | |||||||
\(398\) | −14.7009 | + | 10.6808i | −0.736889 | + | 0.535381i | ||||
\(399\) | −3.12203 | − | 9.60862i | −0.156297 | − | 0.481033i | ||||
\(400\) | 2.08150 | − | 6.40620i | 0.104075 | − | 0.320310i | ||||
\(401\) | 31.6084 | + | 22.9648i | 1.57845 | + | 1.14681i | 0.918448 | + | 0.395541i | \(0.129443\pi\) |
0.659998 | + | 0.751267i | \(0.270557\pi\) | |||||||
\(402\) | −26.3698 | − | 19.1587i | −1.31520 | − | 0.955552i | ||||
\(403\) | −0.818492 | + | 2.51906i | −0.0407720 | + | 0.125483i | ||||
\(404\) | −1.51079 | − | 4.64972i | −0.0751644 | − | 0.231332i | ||||
\(405\) | −11.3216 | + | 8.22562i | −0.562575 | + | 0.408735i | ||||
\(406\) | −34.9886 | −1.73646 | ||||||||
\(407\) | −3.15985 | + | 3.35303i | −0.156628 | + | 0.166204i | ||||
\(408\) | 0.199829 | 0.00989299 | ||||||||
\(409\) | −16.2713 | + | 11.8218i | −0.804563 | + | 0.584549i | −0.912249 | − | 0.409636i | \(-0.865656\pi\) |
0.107686 | + | 0.994185i | \(0.465656\pi\) | |||||||
\(410\) | −10.4520 | − | 32.1680i | −0.516189 | − | 1.58867i | ||||
\(411\) | −14.2670 | + | 43.9092i | −0.703738 | + | 2.16588i | ||||
\(412\) | −22.5949 | − | 16.4162i | −1.11317 | − | 0.808768i | ||||
\(413\) | −6.56447 | − | 4.76937i | −0.323017 | − | 0.234685i | ||||
\(414\) | −8.23859 | + | 25.3558i | −0.404905 | + | 1.24617i | ||||
\(415\) | −4.27662 | − | 13.1621i | −0.209931 | − | 0.646101i | ||||
\(416\) | −6.45186 | + | 4.68755i | −0.316329 | + | 0.229826i | ||||
\(417\) | 16.2263 | 0.794603 | ||||||||
\(418\) | 6.27447 | + | 11.4611i | 0.306894 | + | 0.560579i | ||||
\(419\) | 9.20303 | 0.449597 | 0.224799 | − | 0.974405i | \(-0.427828\pi\) | ||||
0.224799 | + | 0.974405i | \(0.427828\pi\) | |||||||
\(420\) | 14.9311 | − | 10.8481i | 0.728565 | − | 0.529334i | ||||
\(421\) | 5.70020 | + | 17.5434i | 0.277811 | + | 0.855013i | 0.988462 | + | 0.151469i | \(0.0484004\pi\) |
−0.710651 | + | 0.703544i | \(0.751600\pi\) | |||||||
\(422\) | 2.95221 | − | 9.08596i | 0.143711 | − | 0.442298i | ||||
\(423\) | 16.9081 | + | 12.2845i | 0.822100 | + | 0.597290i | ||||
\(424\) | −0.475798 | − | 0.345687i | −0.0231068 | − | 0.0167881i | ||||
\(425\) | 0.853281 | − | 2.62613i | 0.0413902 | − | 0.127386i | ||||
\(426\) | 5.56062 | + | 17.1138i | 0.269413 | + | 0.829167i | ||||
\(427\) | −25.4534 | + | 18.4930i | −1.23178 | + | 0.894937i | ||||
\(428\) | 9.41699 | 0.455187 | ||||||||
\(429\) | −4.02731 | − | 7.35637i | −0.194441 | − | 0.355169i | ||||
\(430\) | −46.7673 | −2.25532 | ||||||||
\(431\) | −0.476224 | + | 0.345997i | −0.0229389 | + | 0.0166661i | −0.599196 | − | 0.800603i | \(-0.704513\pi\) |
0.576257 | + | 0.817269i | \(0.304513\pi\) | |||||||
\(432\) | 1.24641 | + | 3.83607i | 0.0599681 | + | 0.184563i | ||||
\(433\) | 3.27316 | − | 10.0738i | 0.157298 | − | 0.484114i | −0.841088 | − | 0.540898i | \(-0.818085\pi\) |
0.998386 | + | 0.0567839i | \(0.0180846\pi\) | |||||||
\(434\) | 8.64093 | + | 6.27801i | 0.414778 | + | 0.301354i | ||||
\(435\) | 32.4187 | + | 23.5536i | 1.55436 | + | 1.12931i | ||||
\(436\) | 1.89331 | − | 5.82702i | 0.0906732 | − | 0.279063i | ||||
\(437\) | −2.40502 | − | 7.40189i | −0.115048 | − | 0.354080i | ||||
\(438\) | −1.85236 | + | 1.34581i | −0.0885090 | + | 0.0643055i | ||||
\(439\) | −3.40730 | −0.162621 | −0.0813107 | − | 0.996689i | \(-0.525911\pi\) | ||||
−0.0813107 | + | 0.996689i | \(0.525911\pi\) | |||||||
\(440\) | 0.197880 | − | 0.209977i | 0.00943357 | − | 0.0100103i | ||||
\(441\) | −9.87819 | −0.470390 | ||||||||
\(442\) | −2.67644 | + | 1.94455i | −0.127305 | + | 0.0924926i | ||||
\(443\) | 10.8325 | + | 33.3389i | 0.514667 | + | 1.58398i | 0.783888 | + | 0.620903i | \(0.213234\pi\) |
−0.269221 | + | 0.963078i | \(0.586766\pi\) | |||||||
\(444\) | −2.14505 | + | 6.60179i | −0.101800 | + | 0.313307i | ||||
\(445\) | −3.58266 | − | 2.60295i | −0.169834 | − | 0.123392i | ||||
\(446\) | 13.3893 | + | 9.72790i | 0.634002 | + | 0.460630i | ||||
\(447\) | −9.70163 | + | 29.8586i | −0.458871 | + | 1.41226i | ||||
\(448\) | 4.87923 | + | 15.0167i | 0.230522 | + | 0.709473i | ||||
\(449\) | −11.7951 | + | 8.56962i | −0.556643 | + | 0.404425i | −0.830229 | − | 0.557423i | \(-0.811790\pi\) |
0.273585 | + | 0.961848i | \(0.411790\pi\) | |||||||
\(450\) | 11.2641 | 0.530995 | ||||||||
\(451\) | −3.91455 | + | 30.5533i | −0.184329 | + | 1.43870i | ||||
\(452\) | −26.9253 | −1.26646 | ||||||||
\(453\) | 36.5087 | − | 26.5251i | 1.71533 | − | 1.24626i | ||||
\(454\) | −7.49666 | − | 23.0723i | −0.351836 | − | 1.08284i | ||||
\(455\) | 1.14134 | − | 3.51269i | 0.0535069 | − | 0.164677i | ||||
\(456\) | −0.192516 | − | 0.139871i | −0.00901540 | − | 0.00655007i | ||||
\(457\) | −18.8001 | − | 13.6591i | −0.879433 | − | 0.638945i | 0.0536687 | − | 0.998559i | \(-0.482909\pi\) |
−0.933101 | + | 0.359614i | \(0.882909\pi\) | |||||||
\(458\) | 15.8656 | − | 48.8293i | 0.741351 | − | 2.28165i | ||||
\(459\) | 0.510949 | + | 1.57254i | 0.0238490 | + | 0.0733998i | ||||
\(460\) | 11.5020 | − | 8.35671i | 0.536285 | − | 0.389634i | ||||
\(461\) | −30.5934 | −1.42488 | −0.712438 | − | 0.701735i | \(-0.752409\pi\) | ||||
−0.712438 | + | 0.701735i | \(0.752409\pi\) | |||||||
\(462\) | −33.2309 | + | 6.27839i | −1.54604 | + | 0.292097i | ||||
\(463\) | 5.99110 | 0.278430 | 0.139215 | − | 0.990262i | \(-0.455542\pi\) | ||||
0.139215 | + | 0.990262i | \(0.455542\pi\) | |||||||
\(464\) | −28.4098 | + | 20.6409i | −1.31889 | + | 0.958232i | ||||
\(465\) | −3.78004 | − | 11.6338i | −0.175295 | − | 0.539503i | ||||
\(466\) | 7.22951 | − | 22.2501i | 0.334900 | − | 1.03072i | ||||
\(467\) | −23.2110 | − | 16.8638i | −1.07408 | − | 0.780363i | −0.0974364 | − | 0.995242i | \(-0.531064\pi\) |
−0.976641 | + | 0.214879i | \(0.931064\pi\) | |||||||
\(468\) | −5.42622 | − | 3.94238i | −0.250827 | − | 0.182236i | ||||
\(469\) | −4.03973 | + | 12.4330i | −0.186537 | + | 0.574103i | ||||
\(470\) | −6.92967 | − | 21.3273i | −0.319642 | − | 0.983756i | ||||
\(471\) | −31.5118 | + | 22.8947i | −1.45199 | + | 1.05493i | ||||
\(472\) | −0.191116 | −0.00879683 | ||||||||
\(473\) | 38.5054 | + | 18.2023i | 1.77048 | + | 0.836943i | ||||
\(474\) | −24.3279 | −1.11742 | ||||||||
\(475\) | −2.66023 | + | 1.93277i | −0.122060 | + | 0.0886817i | ||||
\(476\) | 2.04883 | + | 6.30565i | 0.0939080 | + | 0.289019i | ||||
\(477\) | 12.9503 | − | 39.8568i | 0.592952 | − | 1.82492i | ||||
\(478\) | 6.99757 | + | 5.08404i | 0.320062 | + | 0.232538i | ||||
\(479\) | −27.2611 | − | 19.8064i | −1.24559 | − | 0.904976i | −0.247635 | − | 0.968853i | \(-0.579653\pi\) |
−0.997958 | + | 0.0638770i | \(0.979653\pi\) | |||||||
\(480\) | 11.3813 | − | 35.0280i | 0.519483 | − | 1.59880i | ||||
\(481\) | 0.429275 | + | 1.32117i | 0.0195732 | + | 0.0602403i | ||||
\(482\) | 31.1304 | − | 22.6175i | 1.41795 | − | 1.03020i | ||||
\(483\) | 20.1440 | 0.916584 | ||||||||
\(484\) | 20.2389 | − | 7.93066i | 0.919949 | − | 0.360484i | ||||
\(485\) | 31.2758 | 1.42016 | ||||||||
\(486\) | 36.0794 | − | 26.2132i | 1.63659 | − | 1.18905i | ||||
\(487\) | 9.08381 | + | 27.9571i | 0.411627 | + | 1.26686i | 0.915233 | + | 0.402924i | \(0.132006\pi\) |
−0.503607 | + | 0.863933i | \(0.667994\pi\) | |||||||
\(488\) | −0.228995 | + | 0.704773i | −0.0103661 | + | 0.0319036i | ||||
\(489\) | 6.79938 | + | 4.94004i | 0.307479 | + | 0.223396i | ||||
\(490\) | 8.57488 | + | 6.23002i | 0.387374 | + | 0.281443i | ||||
\(491\) | 3.77475 | − | 11.6175i | 0.170352 | − | 0.524290i | −0.829038 | − | 0.559192i | \(-0.811112\pi\) |
0.999391 | + | 0.0349011i | \(0.0111116\pi\) | |||||||
\(492\) | 14.3411 | + | 44.1373i | 0.646546 | + | 1.98986i | ||||
\(493\) | −11.6462 | + | 8.46145i | −0.524518 | + | 0.381085i | ||||
\(494\) | 3.93960 | 0.177251 | ||||||||
\(495\) | 18.5875 | + | 8.78668i | 0.835444 | + | 0.394932i | ||||
\(496\) | 10.7198 | 0.481334 | ||||||||
\(497\) | 5.83875 | − | 4.24210i | 0.261904 | − | 0.190284i | ||||
\(498\) | 11.8067 | + | 36.3373i | 0.529071 | + | 1.62831i | ||||
\(499\) | 8.24133 | − | 25.3642i | 0.368932 | − | 1.13546i | −0.578549 | − | 0.815647i | \(-0.696381\pi\) |
0.947482 | − | 0.319810i | \(-0.103619\pi\) | |||||||
\(500\) | −19.4589 | − | 14.1377i | −0.870227 | − | 0.632257i | ||||
\(501\) | −10.2387 | − | 7.43888i | −0.457433 | − | 0.332345i | ||||
\(502\) | −5.26319 | + | 16.1984i | −0.234908 | + | 0.722971i | ||||
\(503\) | −6.87789 | − | 21.1680i | −0.306670 | − | 0.943833i | −0.979049 | − | 0.203626i | \(-0.934727\pi\) |
0.672379 | − | 0.740207i | \(-0.265273\pi\) | |||||||
\(504\) | 0.264499 | − | 0.192170i | 0.0117817 | − | 0.00855991i | ||||
\(505\) | 4.51856 | 0.201073 | ||||||||
\(506\) | −25.5990 | + | 4.83649i | −1.13801 | + | 0.215008i | ||||
\(507\) | −2.52866 | −0.112302 | ||||||||
\(508\) | 17.2635 | − | 12.5427i | 0.765944 | − | 0.556491i | ||||
\(509\) | −0.0755376 | − | 0.232481i | −0.00334815 | − | 0.0103045i | 0.949368 | − | 0.314165i | \(-0.101724\pi\) |
−0.952717 | + | 0.303860i | \(0.901724\pi\) | |||||||
\(510\) | 4.72133 | − | 14.5308i | 0.209064 | − | 0.643433i | ||||
\(511\) | 0.742927 | + | 0.539768i | 0.0328651 | + | 0.0238779i | ||||
\(512\) | 25.8001 | + | 18.7449i | 1.14021 | + | 0.828413i | ||||
\(513\) | 0.608457 | − | 1.87264i | 0.0268640 | − | 0.0826790i | ||||
\(514\) | 10.9071 | + | 33.5687i | 0.481092 | + | 1.48065i | ||||
\(515\) | 20.8829 | − | 15.1723i | 0.920211 | − | 0.668573i | ||||
\(516\) | 64.1688 | 2.82487 | ||||||||
\(517\) | −2.59534 | + | 20.2568i | −0.114143 | + | 0.890891i | ||||
\(518\) | 5.60175 | 0.246127 | ||||||||
\(519\) | 33.9081 | − | 24.6357i | 1.48840 | − | 1.08139i | ||||
\(520\) | −0.0268826 | − | 0.0827360i | −0.00117888 | − | 0.00362821i | ||||
\(521\) | −8.07927 | + | 24.8654i | −0.353959 | + | 1.08938i | 0.602651 | + | 0.798005i | \(0.294111\pi\) |
−0.956610 | + | 0.291370i | \(0.905889\pi\) | |||||||
\(522\) | −47.5084 | − | 34.5169i | −2.07939 | − | 1.51076i | ||||
\(523\) | 14.4741 | + | 10.5160i | 0.632908 | + | 0.459834i | 0.857406 | − | 0.514640i | \(-0.172074\pi\) |
−0.224499 | + | 0.974474i | \(0.572074\pi\) | |||||||
\(524\) | 3.70678 | − | 11.4083i | 0.161931 | − | 0.498373i | ||||
\(525\) | −2.62999 | − | 8.09427i | −0.114782 | − | 0.353263i | ||||
\(526\) | −41.8953 | + | 30.4387i | −1.82672 | + | 1.32719i | ||||
\(527\) | 4.39443 | 0.191424 | ||||||||
\(528\) | −23.2788 | + | 24.7019i | −1.01308 | + | 1.07501i | ||||
\(529\) | −7.48231 | −0.325318 | ||||||||
\(530\) | −36.3787 | + | 26.4307i | −1.58019 | + | 1.14807i | ||||
\(531\) | −4.20834 | − | 12.9519i | −0.182626 | − | 0.562066i | ||||
\(532\) | 2.43982 | − | 7.50900i | 0.105780 | − | 0.325557i | ||||
\(533\) | 7.51372 | + | 5.45904i | 0.325455 | + | 0.236457i | ||||
\(534\) | 9.89084 | + | 7.18612i | 0.428019 | + | 0.310974i | ||||
\(535\) | −2.68952 | + | 8.27748i | −0.116278 | + | 0.357867i | ||||
\(536\) | 0.0951497 | + | 0.292841i | 0.00410984 | + | 0.0126488i | ||||
\(537\) | 45.7822 | − | 33.2627i | 1.97565 | − | 1.43539i | ||||
\(538\) | −42.0980 | −1.81497 | ||||||||
\(539\) | −4.63526 | − | 8.46686i | −0.199655 | − | 0.364693i | ||||
\(540\) | 3.59690 | 0.154786 | ||||||||
\(541\) | 8.50623 | − | 6.18014i | 0.365712 | − | 0.265705i | −0.389719 | − | 0.920934i | \(-0.627428\pi\) |
0.755430 | + | 0.655229i | \(0.227428\pi\) | |||||||
\(542\) | 0.629627 | + | 1.93779i | 0.0270448 | + | 0.0832353i | ||||
\(543\) | −3.16637 | + | 9.74509i | −0.135882 | + | 0.418202i | ||||
\(544\) | 10.7042 | + | 7.77708i | 0.458940 | + | 0.333439i | ||||
\(545\) | 4.58118 | + | 3.32842i | 0.196236 | + | 0.142574i | ||||
\(546\) | −3.15097 | + | 9.69768i | −0.134849 | + | 0.415022i | ||||
\(547\) | 1.66419 | + | 5.12185i | 0.0711556 | + | 0.218994i | 0.980310 | − | 0.197465i | \(-0.0632708\pi\) |
−0.909154 | + | 0.416459i | \(0.863271\pi\) | |||||||
\(548\) | −29.1896 | + | 21.2075i | −1.24692 | + | 0.905939i | ||||
\(549\) | −52.8049 | −2.25366 | ||||||||
\(550\) | 5.28559 | + | 9.65476i | 0.225378 | + | 0.411680i | ||||
\(551\) | 17.1427 | 0.730302 | ||||||||
\(552\) | 0.383847 | − | 0.278881i | 0.0163376 | − | 0.0118700i | ||||
\(553\) | 3.01515 | + | 9.27968i | 0.128217 | + | 0.394612i | ||||
\(554\) | 1.24739 | − | 3.83906i | 0.0529963 | − | 0.163106i | ||||
\(555\) | −5.19030 | − | 3.77098i | −0.220316 | − | 0.160069i | ||||
\(556\) | 10.2588 | + | 7.45346i | 0.435070 | + | 0.316097i | ||||
\(557\) | 7.57752 | − | 23.3212i | 0.321070 | − | 0.988152i | −0.652113 | − | 0.758121i | \(-0.726117\pi\) |
0.973183 | − | 0.230030i | \(-0.0738826\pi\) | |||||||
\(558\) | 5.53951 | + | 17.0489i | 0.234506 | + | 0.721736i | ||||
\(559\) | 10.3891 | − | 7.54814i | 0.439413 | − | 0.319252i | ||||
\(560\) | −14.9482 | −0.631676 | ||||||||
\(561\) | −9.54278 | + | 10.1262i | −0.402897 | + | 0.427527i | ||||
\(562\) | 56.4891 | 2.38285 | ||||||||
\(563\) | −10.9412 | + | 7.94925i | −0.461117 | + | 0.335021i | −0.793969 | − | 0.607958i | \(-0.791989\pi\) |
0.332852 | + | 0.942979i | \(0.391989\pi\) | |||||||
\(564\) | 9.50810 | + | 29.2629i | 0.400363 | + | 1.23219i | ||||
\(565\) | 7.68994 | − | 23.6672i | 0.323518 | − | 0.995687i | ||||
\(566\) | −15.8730 | − | 11.5324i | −0.667192 | − | 0.484744i | ||||
\(567\) | −12.5360 | − | 9.10791i | −0.526461 | − | 0.382496i | ||||
\(568\) | 0.0525291 | − | 0.161668i | 0.00220407 | − | 0.00678343i | ||||
\(569\) | −4.43218 | − | 13.6408i | −0.185807 | − | 0.571854i | 0.814155 | − | 0.580648i | \(-0.197201\pi\) |
−0.999961 | + | 0.00879409i | \(0.997201\pi\) | |||||||
\(570\) | −14.7195 | + | 10.6943i | −0.616530 | + | 0.447936i | ||||
\(571\) | 4.77684 | 0.199905 | 0.0999523 | − | 0.994992i | \(-0.468131\pi\) | ||||
0.0999523 | + | 0.994992i | \(0.468131\pi\) | |||||||
\(572\) | 0.832906 | − | 6.50088i | 0.0348256 | − | 0.271816i | ||||
\(573\) | −6.81422 | −0.284668 | ||||||||
\(574\) | 30.2988 | − | 22.0134i | 1.26465 | − | 0.918821i | ||||
\(575\) | −2.02598 | − | 6.23533i | −0.0844892 | − | 0.260031i | ||||
\(576\) | −8.18912 | + | 25.2035i | −0.341214 | + | 1.05015i | ||||
\(577\) | −35.8098 | − | 26.0173i | −1.49078 | − | 1.08312i | −0.973878 | − | 0.227071i | \(-0.927085\pi\) |
−0.516902 | − | 0.856044i | \(-0.672915\pi\) | |||||||
\(578\) | −22.9839 | − | 16.6988i | −0.956003 | − | 0.694577i | ||||
\(579\) | −4.10938 | + | 12.6474i | −0.170780 | + | 0.525607i | ||||
\(580\) | 9.67702 | + | 29.7828i | 0.401816 | + | 1.23666i | ||||
\(581\) | 12.3973 | − | 9.00714i | 0.514325 | − | 0.373679i | ||||
\(582\) | −86.3449 | −3.57911 | ||||||||
\(583\) | 40.2391 | − | 7.60248i | 1.66653 | − | 0.314863i | ||||
\(584\) | 0.0216293 | 0.000895029 | ||||||||
\(585\) | 5.01507 | − | 3.64366i | 0.207348 | − | 0.150647i | ||||
\(586\) | 11.3637 | + | 34.9739i | 0.469430 | + | 1.44476i | ||||
\(587\) | 7.89094 | − | 24.2858i | 0.325694 | − | 1.00238i | −0.645433 | − | 0.763817i | \(-0.723323\pi\) |
0.971126 | − | 0.238565i | \(-0.0766771\pi\) | |||||||
\(588\) | −11.7655 | − | 8.54812i | −0.485200 | − | 0.352518i | ||||
\(589\) | −4.23363 | − | 3.07591i | −0.174444 | − | 0.126741i | ||||
\(590\) | −4.51548 | + | 13.8972i | −0.185899 | + | 0.572140i | ||||
\(591\) | 2.99727 | + | 9.22464i | 0.123291 | + | 0.379451i | ||||
\(592\) | 4.54847 | − | 3.30466i | 0.186941 | − | 0.135821i | ||||
\(593\) | −16.5202 | −0.678404 | −0.339202 | − | 0.940714i | \(-0.610157\pi\) | ||||
−0.339202 | + | 0.940714i | \(0.610157\pi\) | |||||||
\(594\) | −5.95874 | − | 2.81682i | −0.244490 | − | 0.115576i | ||||
\(595\) | −6.12778 | −0.251215 | ||||||||
\(596\) | −19.8491 | + | 14.4212i | −0.813052 | + | 0.590717i | ||||
\(597\) | 7.12081 | + | 21.9156i | 0.291435 | + | 0.896946i | ||||
\(598\) | −2.42731 | + | 7.47049i | −0.0992601 | + | 0.305491i | ||||
\(599\) | −2.93223 | − | 2.13039i | −0.119808 | − | 0.0870453i | 0.526268 | − | 0.850319i | \(-0.323591\pi\) |
−0.646076 | + | 0.763273i | \(0.723591\pi\) | |||||||
\(600\) | −0.162175 | − | 0.117827i | −0.00662077 | − | 0.00481027i | ||||
\(601\) | 6.60616 | − | 20.3317i | 0.269471 | − | 0.829346i | −0.721159 | − | 0.692770i | \(-0.756390\pi\) |
0.990630 | − | 0.136576i | \(-0.0436097\pi\) | |||||||
\(602\) | −16.0020 | − | 49.2491i | −0.652193 | − | 2.00724i | ||||
\(603\) | −17.7506 | + | 12.8966i | −0.722862 | + | 0.525190i | ||||
\(604\) | 35.2663 | 1.43497 | ||||||||
\(605\) | 1.19073 | + | 20.0549i | 0.0484099 | + | 0.815347i | ||||
\(606\) | −12.4747 | −0.506748 | ||||||||
\(607\) | −14.0920 | + | 10.2384i | −0.571977 | + | 0.415565i | −0.835823 | − | 0.548999i | \(-0.815009\pi\) |
0.263846 | + | 0.964565i | \(0.415009\pi\) | |||||||
\(608\) | −4.86892 | − | 14.9850i | −0.197461 | − | 0.607722i | ||||
\(609\) | −13.7110 | + | 42.1982i | −0.555599 | + | 1.70996i | ||||
\(610\) | 45.8379 | + | 33.3032i | 1.85592 | + | 1.34841i | ||||
\(611\) | 4.98158 | + | 3.61933i | 0.201533 | + | 0.146422i | ||||
\(612\) | −3.43868 | + | 10.5832i | −0.139001 | + | 0.427800i | ||||
\(613\) | −4.16037 | − | 12.8043i | −0.168036 | − | 0.517161i | 0.831211 | − | 0.555957i | \(-0.187648\pi\) |
−0.999247 | + | 0.0387954i | \(0.987648\pi\) | |||||||
\(614\) | −26.0147 | + | 18.9008i | −1.04987 | + | 0.762773i | ||||
\(615\) | −42.8923 | −1.72958 | ||||||||
\(616\) | 0.288828 | + | 0.136535i | 0.0116372 | + | 0.00550114i | ||||
\(617\) | 37.8461 | 1.52363 | 0.761813 | − | 0.647797i | \(-0.224310\pi\) | ||||
0.761813 | + | 0.647797i | \(0.224310\pi\) | |||||||
\(618\) | −57.6527 | + | 41.8871i | −2.31913 | + | 1.68495i | ||||
\(619\) | 4.55254 | + | 14.0113i | 0.182982 | + | 0.563160i | 0.999908 | − | 0.0135823i | \(-0.00432352\pi\) |
−0.816926 | + | 0.576743i | \(0.804324\pi\) | |||||||
\(620\) | 2.95405 | − | 9.09163i | 0.118637 | − | 0.365129i | ||||
\(621\) | 3.17611 | + | 2.30758i | 0.127453 | + | 0.0926000i | ||||
\(622\) | 35.1906 | + | 25.5675i | 1.41101 | + | 1.02516i | ||||
\(623\) | 1.51523 | − | 4.66341i | 0.0607066 | − | 0.186836i | ||||
\(624\) | 3.16248 | + | 9.73312i | 0.126601 | + | 0.389637i | ||||
\(625\) | 11.2521 | − | 8.17513i | 0.450084 | − | 0.327005i | ||||
\(626\) | 25.7734 | 1.03011 | ||||||||
\(627\) | 16.2815 | − | 3.07610i | 0.650219 | − | 0.122848i | ||||
\(628\) | −30.4395 | −1.21467 | ||||||||
\(629\) | 1.86458 | − | 1.35470i | 0.0743457 | − | 0.0540153i | ||||
\(630\) | −7.72454 | − | 23.7737i | −0.307753 | − | 0.947167i | ||||
\(631\) | −4.26102 | + | 13.1141i | −0.169629 | + | 0.522063i | −0.999348 | − | 0.0361182i | \(-0.988501\pi\) |
0.829719 | + | 0.558182i | \(0.188501\pi\) | |||||||
\(632\) | 0.185926 | + | 0.135083i | 0.00739572 | + | 0.00537331i | ||||
\(633\) | −9.80130 | − | 7.12106i | −0.389567 | − | 0.283037i | ||||
\(634\) | 2.89171 | − | 8.89977i | 0.114844 | − | 0.353455i | ||||
\(635\) | 6.09443 | + | 18.7567i | 0.241850 | + | 0.744339i | ||||
\(636\) | 49.9147 | − | 36.2651i | 1.97925 | − | 1.43801i | ||||
\(637\) | −2.91038 | −0.115313 | ||||||||
\(638\) | 7.29238 | − | 56.9175i | 0.288708 | − | 2.25339i | ||||
\(639\) | 12.1129 | 0.479179 | ||||||||
\(640\) | −0.562995 | + | 0.409040i | −0.0222543 | + | 0.0161687i | ||||
\(641\) | −3.29558 | − | 10.1428i | −0.130168 | − | 0.400615i | 0.864639 | − | 0.502393i | \(-0.167547\pi\) |
−0.994807 | + | 0.101778i | \(0.967547\pi\) | |||||||
\(642\) | 7.42511 | − | 22.8521i | 0.293046 | − | 0.901902i | ||||
\(643\) | 13.2324 | + | 9.61389i | 0.521834 | + | 0.379135i | 0.817294 | − | 0.576220i | \(-0.195473\pi\) |
−0.295460 | + | 0.955355i | \(0.595473\pi\) | |||||||
\(644\) | 12.7357 | + | 9.25306i | 0.501859 | + | 0.364622i | ||||
\(645\) | −18.3268 | + | 56.4040i | −0.721616 | + | 2.22090i | ||||
\(646\) | −2.01978 | − | 6.21625i | −0.0794673 | − | 0.244575i | ||||
\(647\) | 23.5242 | − | 17.0913i | 0.924832 | − | 0.671930i | −0.0198900 | − | 0.999802i | \(-0.506332\pi\) |
0.944722 | + | 0.327872i | \(0.106332\pi\) | |||||||
\(648\) | −0.364968 | −0.0143373 | ||||||||
\(649\) | 9.12672 | − | 9.68468i | 0.358255 | − | 0.380157i | ||||
\(650\) | 3.31870 | 0.130170 | ||||||||
\(651\) | 10.9578 | − | 7.96128i | 0.429469 | − | 0.312027i | ||||
\(652\) | 2.02962 | + | 6.24654i | 0.0794862 | + | 0.244633i | ||||
\(653\) | 2.00232 | − | 6.16252i | 0.0783570 | − | 0.241158i | −0.904203 | − | 0.427102i | \(-0.859534\pi\) |
0.982560 | + | 0.185944i | \(0.0595344\pi\) | |||||||
\(654\) | −12.6475 | − | 9.18897i | −0.494558 | − | 0.359317i | ||||
\(655\) | 8.96916 | + | 6.51648i | 0.350454 | + | 0.254620i | ||||
\(656\) | 11.6154 | − | 35.7486i | 0.453506 | − | 1.39575i | ||||
\(657\) | 0.476274 | + | 1.46582i | 0.0185812 | + | 0.0571871i | ||||
\(658\) | 20.0881 | − | 14.5948i | 0.783114 | − | 0.568965i | ||||
\(659\) | 10.0364 | 0.390964 | 0.195482 | − | 0.980707i | \(-0.437373\pi\) | ||||
0.195482 | + | 0.980707i | \(0.437373\pi\) | |||||||
\(660\) | 14.5351 | + | 26.5501i | 0.565779 | + | 1.03346i | ||||
\(661\) | 16.0229 | 0.623220 | 0.311610 | − | 0.950210i | \(-0.399132\pi\) | ||||
0.311610 | + | 0.950210i | \(0.399132\pi\) | |||||||
\(662\) | −18.0801 | + | 13.1360i | −0.702703 | + | 0.510544i | ||||
\(663\) | 1.29641 | + | 3.98995i | 0.0503485 | + | 0.154957i | ||||
\(664\) | 0.111534 | − | 0.343265i | 0.00432834 | − | 0.0133213i | ||||
\(665\) | 5.90355 | + | 4.28918i | 0.228930 | + | 0.166327i | ||||
\(666\) | 7.60620 | + | 5.52623i | 0.294734 | + | 0.214137i | ||||
\(667\) | −10.5621 | + | 32.5069i | −0.408968 | + | 1.25867i | ||||
\(668\) | −3.05627 | − | 9.40625i | −0.118251 | − | 0.363939i | ||||
\(669\) | 16.9793 | − | 12.3362i | 0.656457 | − | 0.476944i | ||||
\(670\) | 23.5423 | 0.909520 | ||||||||
\(671\) | −24.7783 | − | 45.2605i | −0.956555 | − | 1.74726i | ||||
\(672\) | 40.7812 | 1.57317 | ||||||||
\(673\) | −35.9534 | + | 26.1217i | −1.38590 | + | 1.00692i | −0.389601 | + | 0.920984i | \(0.627387\pi\) |
−0.996301 | + | 0.0859325i | \(0.972613\pi\) | |||||||
\(674\) | −3.74387 | − | 11.5224i | −0.144208 | − | 0.443828i | ||||
\(675\) | 0.512562 | − | 1.57750i | 0.0197285 | − | 0.0607181i | ||||
\(676\) | −1.59871 | − | 1.16153i | −0.0614888 | − | 0.0446742i | ||||
\(677\) | −22.8611 | − | 16.6095i | −0.878622 | − | 0.638356i | 0.0542646 | − | 0.998527i | \(-0.482719\pi\) |
−0.932887 | + | 0.360170i | \(0.882719\pi\) | |||||||
\(678\) | −21.2301 | + | 65.3394i | −0.815336 | + | 2.50935i | ||||
\(679\) | 10.7014 | + | 32.9355i | 0.410682 | + | 1.26395i | ||||
\(680\) | −0.116766 | + | 0.0848354i | −0.00447777 | + | 0.00325329i | ||||
\(681\) | −30.7643 | −1.17889 | ||||||||
\(682\) | −12.0137 | + | 12.7481i | −0.460027 | + | 0.488150i | ||||
\(683\) | 6.47639 | 0.247812 | 0.123906 | − | 0.992294i | \(-0.460458\pi\) | ||||
0.123906 | + | 0.992294i | \(0.460458\pi\) | |||||||
\(684\) | 10.7206 | − | 7.78899i | 0.409913 | − | 0.297819i | ||||
\(685\) | −10.3046 | − | 31.7144i | −0.393720 | − | 1.21175i | ||||
\(686\) | −12.3493 | + | 38.0073i | −0.471500 | + | 1.45113i | ||||
\(687\) | −52.6736 | − | 38.2696i | −2.00962 | − | 1.46008i | ||||
\(688\) | −42.0469 | − | 30.5489i | −1.60302 | − | 1.16466i | ||||
\(689\) | 3.81549 | − | 11.7429i | 0.145359 | − | 0.447368i | ||||
\(690\) | −11.2100 | − | 34.5010i | −0.426759 | − | 1.31343i | ||||
\(691\) | 28.8077 | − | 20.9300i | 1.09590 | − | 0.796216i | 0.115512 | − | 0.993306i | \(-0.463149\pi\) |
0.980385 | + | 0.197090i | \(0.0631491\pi\) | |||||||
\(692\) | 32.7542 | 1.24513 | ||||||||
\(693\) | −2.89304 | + | 22.5803i | −0.109897 | + | 0.857756i | ||||
\(694\) | 15.1451 | 0.574900 | ||||||||
\(695\) | −9.48150 | + | 6.88871i | −0.359654 | + | 0.261304i | ||||
\(696\) | 0.322943 | + | 0.993915i | 0.0122411 | + | 0.0376743i | ||||
\(697\) | 4.76157 | − | 14.6546i | 0.180357 | − | 0.555082i | ||||
\(698\) | 36.2662 | + | 26.3490i | 1.37270 | + | 0.997323i | ||||
\(699\) | −24.0019 | − | 17.4384i | −0.907834 | − | 0.659580i | ||||
\(700\) | 2.05530 | − | 6.32556i | 0.0776830 | − | 0.239084i | ||||
\(701\) | 1.68011 | + | 5.17084i | 0.0634567 | + | 0.195300i | 0.977758 | − | 0.209734i | \(-0.0672598\pi\) |
−0.914302 | + | 0.405034i | \(0.867260\pi\) | |||||||
\(702\) | −1.60772 | + | 1.16808i | −0.0606797 | + | 0.0440864i | ||||
\(703\) | −2.74458 | −0.103514 | ||||||||
\(704\) | −25.4453 | + | 4.80745i | −0.959006 | + | 0.181187i | ||||
\(705\) | −28.4375 | −1.07102 | ||||||||
\(706\) | 20.0690 | − | 14.5810i | 0.755307 | − | 0.548762i | ||||
\(707\) | 1.54608 | + | 4.75835i | 0.0581464 | + | 0.178956i | ||||
\(708\) | 6.19563 | − | 19.0682i | 0.232846 | − | 0.716626i | ||||
\(709\) | 4.24545 | + | 3.08450i | 0.159441 | + | 0.115841i | 0.664645 | − | 0.747159i | \(-0.268583\pi\) |
−0.505204 | + | 0.863000i | \(0.668583\pi\) | |||||||
\(710\) | −10.5148 | − | 7.63942i | −0.394612 | − | 0.286702i | ||||
\(711\) | −5.06052 | + | 15.5747i | −0.189784 | + | 0.584096i | ||||
\(712\) | −0.0356890 | − | 0.109840i | −0.00133750 | − | 0.00411641i | ||||
\(713\) | 8.44118 | − | 6.13288i | 0.316125 | − | 0.229678i | ||||
\(714\) | 16.9173 | 0.633115 | ||||||||
\(715\) | 5.47636 | + | 2.58879i | 0.204804 | + | 0.0968153i | ||||
\(716\) | 44.2242 | 1.65274 | ||||||||
\(717\) | 8.87378 | − | 6.44718i | 0.331397 | − | 0.240774i | ||||
\(718\) | 1.24815 | + | 3.84140i | 0.0465804 | + | 0.143360i | ||||
\(719\) | −11.7173 | + | 36.0622i | −0.436982 | + | 1.34489i | 0.454060 | + | 0.890971i | \(0.349975\pi\) |
−0.891042 | + | 0.453921i | \(0.850025\pi\) | |||||||
\(720\) | −20.2970 | − | 14.7466i | −0.756425 | − | 0.549575i | ||||
\(721\) | 23.1228 | + | 16.7997i | 0.861140 | + | 0.625654i | ||||
\(722\) | 9.30230 | − | 28.6295i | 0.346196 | − | 1.06548i | ||||
\(723\) | −15.0789 | − | 46.4081i | −0.560791 | − | 1.72594i | ||||
\(724\) | −6.47826 | + | 4.70673i | −0.240763 | + | 0.174924i | ||||
\(725\) | 14.4409 | 0.536323 | ||||||||
\(726\) | −3.28731 | − | 55.3667i | −0.122003 | − | 2.05485i | ||||
\(727\) | −39.1558 | −1.45221 | −0.726104 | − | 0.687585i | \(-0.758671\pi\) | ||||
−0.726104 | + | 0.687585i | \(0.758671\pi\) | |||||||
\(728\) | 0.0779284 | − | 0.0566183i | 0.00288822 | − | 0.00209841i | ||||
\(729\) | −10.3728 | − | 31.9241i | −0.384177 | − | 1.18238i | ||||
\(730\) | 0.511034 | − | 1.57280i | 0.0189142 | − | 0.0582120i | ||||
\(731\) | −17.2365 | − | 12.5231i | −0.637515 | − | 0.463182i | ||||
\(732\) | −62.8935 | − | 45.6948i | −2.32461 | − | 1.68893i | ||||
\(733\) | 11.8382 | − | 36.4343i | 0.437255 | − | 1.34573i | −0.453503 | − | 0.891255i | \(-0.649826\pi\) |
0.890758 | − | 0.454478i | \(-0.150174\pi\) | |||||||
\(734\) | 14.7774 | + | 45.4801i | 0.545444 | + | 1.67870i | ||||
\(735\) | 10.8740 | − | 7.90042i | 0.401093 | − | 0.291411i | ||||
\(736\) | 31.4153 | 1.15798 | ||||||||
\(737\) | −19.3834 | − | 9.16292i | −0.713995 | − | 0.337520i | ||||
\(738\) | 62.8571 | 2.31380 | ||||||||
\(739\) | −25.4594 | + | 18.4973i | −0.936537 | + | 0.680434i | −0.947585 | − | 0.319505i | \(-0.896483\pi\) |
0.0110473 | + | 0.999939i | \(0.496483\pi\) | |||||||
\(740\) | −1.54931 | − | 4.76829i | −0.0569538 | − | 0.175286i | ||||
\(741\) | 1.54382 | − | 4.75138i | 0.0567135 | − | 0.174546i | ||||
\(742\) | −40.2807 | − | 29.2656i | −1.47875 | − | 1.07437i | ||||
\(743\) | 4.59211 | + | 3.33636i | 0.168468 | + | 0.122399i | 0.668825 | − | 0.743420i | \(-0.266798\pi\) |
−0.500356 | + | 0.865820i | \(0.666798\pi\) | |||||||
\(744\) | 0.0985829 | − | 0.303407i | 0.00361422 | − | 0.0111234i | ||||
\(745\) | −7.00722 | − | 21.5660i | −0.256725 | − | 0.790117i | ||||
\(746\) | 6.15856 | − | 4.47446i | 0.225481 | − | 0.163821i | ||||
\(747\) | 25.7190 | 0.941010 | ||||||||
\(748\) | −10.6847 | + | 2.01869i | −0.390671 | + | 0.0738105i | ||||
\(749\) | −9.63700 | −0.352128 | ||||||||
\(750\) | −49.6507 | + | 36.0734i | −1.81299 | + | 1.31721i | ||||
\(751\) | −1.50469 | − | 4.63096i | −0.0549069 | − | 0.168986i | 0.919842 | − | 0.392288i | \(-0.128316\pi\) |
−0.974749 | + | 0.223302i | \(0.928316\pi\) | |||||||
\(752\) | 7.70099 | − | 23.7012i | 0.280826 | − | 0.864294i | ||||
\(753\) | 17.4737 | + | 12.6954i | 0.636778 | + | 0.462646i | ||||
\(754\) | −13.9973 | − | 10.1696i | −0.509750 | − | 0.370355i | ||||
\(755\) | −10.0722 | + | 30.9989i | −0.366563 | + | 1.12817i | ||||
\(756\) | 1.23072 | + | 3.78778i | 0.0447610 | + | 0.137760i | ||||
\(757\) | −22.7250 | + | 16.5107i | −0.825956 | + | 0.600092i | −0.918412 | − | 0.395625i | \(-0.870528\pi\) |
0.0924566 | + | 0.995717i | \(0.470528\pi\) | |||||||
\(758\) | −14.0590 | −0.510645 | ||||||||
\(759\) | −4.19845 | + | 32.7691i | −0.152394 | + | 1.18944i | ||||
\(760\) | 0.171874 | 0.00623454 | ||||||||
\(761\) | 7.86385 | − | 5.71342i | 0.285064 | − | 0.207111i | −0.436059 | − | 0.899918i | \(-0.643626\pi\) |
0.721123 | + | 0.692807i | \(0.243626\pi\) | |||||||
\(762\) | −16.8253 | − | 51.7828i | −0.609515 | − | 1.87589i | ||||
\(763\) | −1.93755 | + | 5.96316i | −0.0701439 | + | 0.215881i | ||||
\(764\) | −4.30819 | − | 3.13009i | −0.155865 | − | 0.113243i | ||||
\(765\) | −8.32046 | − | 6.04517i | −0.300827 | − | 0.218564i | ||||
\(766\) | −17.3086 | + | 53.2705i | −0.625386 | + | 1.92474i | ||||
\(767\) | −1.23989 | − | 3.81599i | −0.0447698 | − | 0.137787i | ||||
\(768\) | 33.4995 | − | 24.3388i | 1.20881 | − | 0.878251i | ||||
\(769\) | 18.3552 | 0.661905 | 0.330952 | − | 0.943647i | \(-0.392630\pi\) | ||||
0.330952 | + | 0.943647i | \(0.392630\pi\) | |||||||
\(770\) | 16.7524 | − | 17.7765i | 0.603714 | − | 0.640622i | ||||
\(771\) | 44.7599 | 1.61199 | ||||||||
\(772\) | −8.40762 | + | 6.10850i | −0.302597 | + | 0.219850i | ||||
\(773\) | −7.36982 | − | 22.6820i | −0.265074 | − | 0.815814i | −0.991676 | − | 0.128756i | \(-0.958902\pi\) |
0.726602 | − | 0.687058i | \(-0.241098\pi\) | |||||||
\(774\) | 26.8572 | − | 82.6580i | 0.965362 | − | 2.97108i | ||||
\(775\) | −3.56639 | − | 2.59113i | −0.128109 | − | 0.0930763i | ||||
\(776\) | 0.659889 | + | 0.479438i | 0.0236886 | + | 0.0172108i | ||||
\(777\) | 2.19517 | − | 6.75603i | 0.0787512 | − | 0.242371i | ||||
\(778\) | −1.76672 | − | 5.43740i | −0.0633399 | − | 0.194940i | ||||
\(779\) | −14.8449 | + | 10.7855i | −0.531874 | + | 0.386429i | ||||
\(780\) | 9.12628 | 0.326773 | ||||||||
\(781\) | 5.68389 | + | 10.3823i | 0.203386 | + | 0.371508i | ||||
\(782\) | 13.0321 | 0.466026 | ||||||||
\(783\) | −6.99581 | + | 5.08276i | −0.250010 | + | 0.181643i | ||||
\(784\) | 3.63988 | + | 11.2024i | 0.129996 | + | 0.400086i | ||||
\(785\) | 8.69360 | − | 26.7561i | 0.310288 | − | 0.954968i | ||||
\(786\) | −24.7617 | − | 17.9904i | −0.883220 | − | 0.641697i | ||||
\(787\) | −6.82159 | − | 4.95617i | −0.243163 | − | 0.176668i | 0.459528 | − | 0.888163i | \(-0.348019\pi\) |
−0.702691 | + | 0.711495i | \(0.748019\pi\) | |||||||
\(788\) | −2.34232 | + | 7.20893i | −0.0834418 | + | 0.256807i | ||||
\(789\) | 20.2932 | + | 62.4561i | 0.722458 | + | 2.22350i | ||||
\(790\) | 14.2155 | − | 10.3282i | 0.505767 | − | 0.367461i | ||||
\(791\) | 27.5544 | 0.979721 | ||||||||
\(792\) | 0.257483 | + | 0.470324i | 0.00914928 | + | 0.0167122i | ||||
\(793\) | −15.5577 | −0.552471 | ||||||||
\(794\) | −3.79535 | + | 2.75749i | −0.134692 | + | 0.0978595i | ||||
\(795\) | 17.6211 | + | 54.2321i | 0.624956 | + | 1.92342i | ||||
\(796\) | −5.56481 | + | 17.1267i | −0.197239 | + | 0.607041i | ||||
\(797\) | 15.6310 | + | 11.3566i | 0.553679 | + | 0.402271i | 0.829140 | − | 0.559041i | \(-0.188831\pi\) |
−0.275461 | + | 0.961312i | \(0.588831\pi\) | |||||||
\(798\) | −16.2983 | − | 11.8414i | −0.576953 | − | 0.419181i | ||||
\(799\) | 3.15691 | − | 9.71596i | 0.111683 | − | 0.343726i | ||||
\(800\) | −4.10156 | − | 12.6233i | −0.145012 | − | 0.446301i | ||||
\(801\) | 6.65796 | − | 4.83729i | 0.235247 | − | 0.170917i | ||||
\(802\) | 77.9065 | 2.75097 | ||||||||
\(803\) | −1.03291 | + | 1.09605i | −0.0364505 | + | 0.0386788i | ||||
\(804\) | −32.3021 | −1.13921 | ||||||||
\(805\) | −11.7708 | + | 8.55195i | −0.414865 | + | 0.301417i | ||||
\(806\) | 1.63209 | + | 5.02305i | 0.0574879 | + | 0.176929i | ||||
\(807\) | −16.4970 | + | 50.7725i | −0.580721 | + | 1.78728i | ||||
\(808\) | 0.0953373 | + | 0.0692666i | 0.00335395 | + | 0.00243679i | ||||
\(809\) | 29.5316 | + | 21.4560i | 1.03828 | + | 0.754352i | 0.969948 | − | 0.243311i | \(-0.0782335\pi\) |
0.0683283 | + | 0.997663i | \(0.478233\pi\) | |||||||
\(810\) | −8.62307 | + | 26.5391i | −0.302984 | + | 0.932488i | ||||
\(811\) | −9.77860 | − | 30.0954i | −0.343373 | − | 1.05679i | −0.962449 | − | 0.271463i | \(-0.912493\pi\) |
0.619076 | − | 0.785331i | \(-0.287507\pi\) | |||||||
\(812\) | −28.0522 | + | 20.3811i | −0.984439 | + | 0.715237i | ||||
\(813\) | 2.58382 | 0.0906185 | ||||||||
\(814\) | −1.16753 | + | 9.11262i | −0.0409218 | + | 0.319397i | ||||
\(815\) | −6.07034 | −0.212635 | ||||||||
\(816\) | 13.7364 | − | 9.98009i | 0.480871 | − | 0.349373i | ||||
\(817\) | 7.84019 | + | 24.1296i | 0.274293 | + | 0.844188i | ||||
\(818\) | −12.3930 | + | 38.1417i | −0.433310 | + | 1.33359i | ||||
\(819\) | 5.55299 | + | 4.03448i | 0.194037 | + | 0.140976i | ||||
\(820\) | −27.1180 | − | 19.7024i | −0.947003 | − | 0.688038i | ||||
\(821\) | 1.41680 | − | 4.36047i | 0.0494468 | − | 0.152182i | −0.923284 | − | 0.384117i | \(-0.874506\pi\) |
0.972731 | + | 0.231936i | \(0.0745059\pi\) | |||||||
\(822\) | 28.4486 | + | 87.5558i | 0.992259 | + | 3.05386i | ||||
\(823\) | 40.6759 | − | 29.5528i | 1.41787 | − | 1.03014i | 0.425755 | − | 0.904839i | \(-0.360009\pi\) |
0.992118 | − | 0.125306i | \(-0.0399913\pi\) | |||||||
\(824\) | 0.673191 | 0.0234517 | ||||||||
\(825\) | 13.7155 | − | 2.59130i | 0.477511 | − | 0.0902173i | ||||
\(826\) | −16.1797 | −0.562965 | ||||||||
\(827\) | −34.9703 | + | 25.4074i | −1.21604 | + | 0.883503i | −0.995765 | − | 0.0919352i | \(-0.970695\pi\) |
−0.220273 | + | 0.975438i | \(0.570695\pi\) | |||||||
\(828\) | 8.16461 | + | 25.1281i | 0.283740 | + | 0.873261i | ||||
\(829\) | −1.49923 | + | 4.61416i | −0.0520705 | + | 0.160256i | −0.973710 | − | 0.227790i | \(-0.926850\pi\) |
0.921640 | + | 0.388046i | \(0.126850\pi\) | |||||||
\(830\) | −22.3257 | − | 16.2206i | −0.774937 | − | 0.563025i | ||||
\(831\) | −4.14131 | − | 3.00883i | −0.143660 | − | 0.104375i | ||||
\(832\) | −2.41273 | + | 7.42563i | −0.0836465 | + | 0.257438i | ||||
\(833\) | 1.49211 | + | 4.59226i | 0.0516987 | + | 0.159112i | ||||
\(834\) | 26.1761 | − | 19.0181i | 0.906405 | − | 0.658542i | ||||
\(835\) | 9.14092 | 0.316335 | ||||||||
\(836\) | 11.7067 | + | 5.53401i | 0.404885 | + | 0.191398i | ||||
\(837\) | 2.63971 | 0.0912418 | ||||||||
\(838\) | 14.8463 | − | 10.7865i | 0.512856 | − | 0.372612i | ||||
\(839\) | −3.74410 | − | 11.5231i | −0.129261 | − | 0.397823i | 0.865393 | − | 0.501094i | \(-0.167069\pi\) |
−0.994653 | + | 0.103271i | \(0.967069\pi\) | |||||||
\(840\) | −0.137468 | + | 0.423084i | −0.00474311 | + | 0.0145978i | ||||
\(841\) | −37.4458 | − | 27.2060i | −1.29123 | − | 0.938137i | ||||
\(842\) | 29.7574 | + | 21.6200i | 1.02551 | + | 0.745074i | ||||
\(843\) | 22.1365 | − | 68.1290i | 0.762420 | − | 2.34649i | ||||
\(844\) | −2.92570 | − | 9.00437i | −0.100707 | − | 0.309943i | ||||
\(845\) | 1.47757 | − | 1.07352i | 0.0508301 | − | 0.0369302i | ||||
\(846\) | 41.6741 | 1.43279 | ||||||||
\(847\) | −20.7117 | + | 8.11594i | −0.711663 | + | 0.278867i | ||||
\(848\) | −49.9716 | −1.71603 | ||||||||
\(849\) | −20.1289 | + | 14.6245i | −0.690823 | + | 0.501912i | ||||
\(850\) | −1.70146 | − | 5.23655i | −0.0583595 | − | 0.179612i | ||||
\(851\) | 1.69102 | − | 5.20443i | 0.0579674 | − | 0.178405i | ||||
\(852\) | 14.4272 | + | 10.4819i | 0.494266 | + | 0.359105i | ||||
\(853\) | −16.4419 | − | 11.9457i | −0.562959 | − | 0.409014i | 0.269581 | − | 0.962978i | \(-0.413115\pi\) |
−0.832541 | + | 0.553964i | \(0.813115\pi\) | |||||||
\(854\) | −19.3865 | + | 59.6655i | −0.663392 | + | 2.04171i | ||||
\(855\) | 3.78464 | + | 11.6479i | 0.129432 | + | 0.398351i | ||||
\(856\) | −0.183635 | + | 0.133418i | −0.00627650 | + | 0.00456015i | ||||
\(857\) | 5.07138 | 0.173235 | 0.0866175 | − | 0.996242i | \(-0.472394\pi\) | ||||
0.0866175 | + | 0.996242i | \(0.472394\pi\) | |||||||
\(858\) | −15.1189 | − | 7.14702i | −0.516151 | − | 0.243995i | ||||
\(859\) | 31.1183 | 1.06174 | 0.530871 | − | 0.847452i | \(-0.321865\pi\) | ||||
0.530871 | + | 0.847452i | \(0.321865\pi\) | |||||||
\(860\) | −37.4958 | + | 27.2423i | −1.27860 | + | 0.928954i | ||||
\(861\) | −14.6761 | − | 45.1685i | −0.500161 | − | 1.53934i | ||||
\(862\) | −0.362715 | + | 1.11632i | −0.0123541 | + | 0.0380220i | ||||
\(863\) | −30.0253 | − | 21.8147i | −1.02207 | − | 0.742581i | −0.0553673 | − | 0.998466i | \(-0.517633\pi\) |
−0.966707 | + | 0.255886i | \(0.917633\pi\) | |||||||
\(864\) | 6.42998 | + | 4.67166i | 0.218752 | + | 0.158933i | ||||
\(865\) | −9.35469 | + | 28.7908i | −0.318069 | + | 0.978916i | ||||
\(866\) | −6.52675 | − | 20.0873i | −0.221788 | − | 0.682593i | ||||
\(867\) | −29.1464 | + | 21.1761i | −0.989862 | + | 0.719177i | ||||
\(868\) | 10.5849 | 0.359274 | ||||||||
\(869\) | −15.7241 | + | 2.97079i | −0.533403 | + | 0.100777i | ||||
\(870\) | 79.9038 | 2.70899 | ||||||||
\(871\) | −5.22981 | + | 3.79968i | −0.177205 | + | 0.128747i | ||||
\(872\) | 0.0456360 | + | 0.140453i | 0.00154543 | + | 0.00475634i | ||||
\(873\) | −17.9609 | + | 55.2778i | −0.607883 | + | 1.87087i | ||||
\(874\) | −12.5552 | − | 9.12188i | −0.424686 | − | 0.308552i | ||||
\(875\) | 19.9135 | + | 14.4680i | 0.673199 | + | 0.489107i | ||||
\(876\) | −0.701183 | + | 2.15802i | −0.0236908 | + | 0.0729127i | ||||
\(877\) | −10.0380 | − | 30.8938i | −0.338959 | − | 1.04321i | −0.964739 | − | 0.263210i | \(-0.915219\pi\) |
0.625779 | − | 0.780000i | \(-0.284781\pi\) | |||||||
\(878\) | −5.49664 | + | 3.99354i | −0.185503 | + | 0.134775i | ||||
\(879\) | 46.6336 | 1.57291 | ||||||||
\(880\) | 3.11552 | − | 24.3169i | 0.105024 | − | 0.819721i | ||||
\(881\) | 4.44712 | 0.149827 | 0.0749137 | − | 0.997190i | \(-0.476132\pi\) | ||||
0.0749137 | + | 0.997190i | \(0.476132\pi\) | |||||||
\(882\) | −15.9354 | + | 11.5778i | −0.536574 | + | 0.389844i | ||||
\(883\) | 7.83018 | + | 24.0988i | 0.263507 | + | 0.810990i | 0.992034 | + | 0.125973i | \(0.0402052\pi\) |
−0.728527 | + | 0.685017i | \(0.759795\pi\) | |||||||
\(884\) | −1.01313 | + | 3.11809i | −0.0340752 | + | 0.104873i | ||||
\(885\) | 14.9913 | + | 10.8918i | 0.503928 | + | 0.366125i | ||||
\(886\) | 56.5500 | + | 41.0860i | 1.89983 | + | 1.38031i | ||||
\(887\) | −11.0756 | + | 34.0873i | −0.371884 | + | 1.14454i | 0.573673 | + | 0.819084i | \(0.305518\pi\) |
−0.945557 | + | 0.325456i | \(0.894482\pi\) | |||||||
\(888\) | −0.0517038 | − | 0.159128i | −0.00173507 | − | 0.00533998i | ||||
\(889\) | −17.6668 | + | 12.8357i | −0.592526 | + | 0.430496i | ||||
\(890\) | −8.83033 | −0.295993 | ||||||||
\(891\) | 17.4290 | − | 18.4945i | 0.583894 | − | 0.619590i | ||||
\(892\) | 16.4015 | 0.549162 | ||||||||
\(893\) | −9.84214 | + | 7.15073i | −0.329355 | + | 0.239290i | ||||
\(894\) | 19.3452 | + | 59.5385i | 0.647002 | + | 1.99127i | ||||
\(895\) | −12.6306 | + | 38.8729i | −0.422193 | + | 1.29938i | ||||
\(896\) | −0.623383 | − | 0.452914i | −0.0208258 | − | 0.0151308i | ||||
\(897\) | 8.05864 | + | 5.85494i | 0.269070 | + | 0.195491i | ||||
\(898\) | −8.98368 | + | 27.6489i | −0.299789 | + | 0.922657i | ||||
\(899\) | 7.10183 | + | 21.8572i | 0.236859 | + | 0.728978i | ||||
\(900\) | 9.03101 | − | 6.56141i | 0.301034 | − | 0.218714i | ||||
\(901\) | −20.4851 | −0.682458 | ||||||||
\(902\) | 29.4952 | + | 53.8765i | 0.982083 | + | 1.79389i | ||||
\(903\) | −65.6680 | −2.18529 | ||||||||
\(904\) | 0.525053 | − | 0.381474i | 0.0174630 | − | 0.0126876i | ||||
\(905\) | −2.28698 | − | 7.03861i | −0.0760219 | − | 0.233971i | ||||
\(906\) | 27.8068 | − | 85.5805i | 0.923819 | − | 2.84322i | ||||
\(907\) | 42.0535 | + | 30.5536i | 1.39636 | + | 1.01452i | 0.995133 | + | 0.0985385i | \(0.0314167\pi\) |
0.401229 | + | 0.915978i | \(0.368583\pi\) | |||||||
\(908\) | −19.4503 | − | 14.1314i | −0.645480 | − | 0.468968i | ||||
\(909\) | −2.59489 | + | 7.98625i | −0.0860671 | + | 0.264887i | ||||
\(910\) | −2.27586 | − | 7.00437i | −0.0754439 | − | 0.232192i | ||||
\(911\) | 30.3349 | − | 22.0396i | 1.00504 | − | 0.730205i | 0.0418783 | − | 0.999123i | \(-0.486666\pi\) |
0.963163 | + | 0.268917i | \(0.0866658\pi\) | |||||||
\(912\) | −20.2194 | −0.669531 | ||||||||
\(913\) | 12.0685 | + | 22.0445i | 0.399408 | + | 0.729565i | ||||
\(914\) | −46.3375 | −1.53271 | ||||||||
\(915\) | 58.1281 | − | 42.2325i | 1.92166 | − | 1.39616i | ||||
\(916\) | −15.7231 | − | 48.3908i | −0.519507 | − | 1.59888i | ||||
\(917\) | −3.79338 | + | 11.6748i | −0.125268 | + | 0.385537i | ||||
\(918\) | 2.66736 | + | 1.93795i | 0.0880361 | + | 0.0639620i | ||||
\(919\) | −44.9636 | − | 32.6680i | −1.48321 | − | 1.07762i | −0.976503 | − | 0.215502i | \(-0.930861\pi\) |
−0.506710 | − | 0.862116i | \(-0.669139\pi\) | |||||||
\(920\) | −0.105897 | + | 0.325918i | −0.00349132 | + | 0.0107452i | ||||
\(921\) | 12.6010 | + | 38.7818i | 0.415216 | + | 1.27790i | ||||
\(922\) | −49.3531 | + | 35.8571i | −1.62536 | + | 1.18089i | ||||
\(923\) | 3.56879 | 0.117468 | ||||||||
\(924\) | −22.9857 | + | 24.3909i | −0.756174 | + | 0.802403i | ||||
\(925\) | −2.31202 | −0.0760189 | ||||||||
\(926\) | 9.66481 | − | 7.02189i | 0.317605 | − | 0.230754i | ||||
\(927\) | 14.8235 | + | 45.6222i | 0.486869 | + | 1.49843i | ||||
\(928\) | −21.3828 | + | 65.8096i | −0.701926 | + | 2.16031i | ||||
\(929\) | −17.4271 | − | 12.6615i | −0.571765 | − | 0.415412i | 0.263981 | − | 0.964528i | \(-0.414964\pi\) |
−0.835746 | + | 0.549116i | \(0.814964\pi\) | |||||||
\(930\) | −19.7334 | − | 14.3371i | −0.647083 | − | 0.470133i | ||||
\(931\) | 1.77687 | − | 5.46863i | 0.0582344 | − | 0.179227i | ||||
\(932\) | −7.16459 | − | 22.0503i | −0.234684 | − | 0.722282i | ||||
\(933\) | 44.6260 | − | 32.4227i | 1.46099 | − | 1.06147i | ||||
\(934\) | −57.2092 | −1.87194 | ||||||||
\(935\) | 1.27716 | − | 9.96834i | 0.0417677 | − | 0.325999i | ||||
\(936\) | 0.161668 | 0.00528429 | ||||||||
\(937\) | 7.57687 | − | 5.50492i | 0.247525 | − | 0.179838i | −0.457104 | − | 0.889413i | \(-0.651113\pi\) |
0.704629 | + | 0.709576i | \(0.251113\pi\) | |||||||
\(938\) | 8.05530 | + | 24.7917i | 0.263015 | + | 0.809477i | ||||
\(939\) | 10.0999 | − | 31.0842i | 0.329597 | − | 1.01439i | ||||
\(940\) | −17.9792 | − | 13.0626i | −0.586417 | − | 0.426057i | ||||
\(941\) | 11.0450 | + | 8.02463i | 0.360055 | + | 0.261596i | 0.753075 | − | 0.657934i | \(-0.228570\pi\) |
−0.393020 | + | 0.919530i | \(0.628570\pi\) | |||||||
\(942\) | −24.0009 | + | 73.8672i | −0.781992 | + | 2.40672i | ||||
\(943\) | −11.3056 | − | 34.7950i | −0.368161 | − | 1.13308i | ||||
\(944\) | −13.1375 | + | 9.54497i | −0.427590 | + | 0.310662i | ||||
\(945\) | −3.68093 | −0.119741 | ||||||||
\(946\) | 83.4509 | − | 15.7666i | 2.71322 | − | 0.512616i | ||||
\(947\) | 23.0149 | 0.747885 | 0.373942 | − | 0.927452i | \(-0.378006\pi\) | ||||
0.373942 | + | 0.927452i | \(0.378006\pi\) | |||||||
\(948\) | −19.5050 | + | 14.1712i | −0.633491 | + | 0.460259i | ||||
\(949\) | 0.140323 | + | 0.431870i | 0.00455508 | + | 0.0140191i | ||||
\(950\) | −2.02616 | + | 6.23588i | −0.0657373 | + | 0.202319i | ||||
\(951\) | −9.60044 | − | 6.97513i | −0.311316 | − | 0.226184i | ||||
\(952\) | −0.129290 | − | 0.0939349i | −0.00419032 | − | 0.00304445i | ||||
\(953\) | 12.1947 | − | 37.5314i | 0.395024 | − | 1.21576i | −0.533918 | − | 0.845536i | \(-0.679281\pi\) |
0.928943 | − | 0.370224i | \(-0.120719\pi\) | |||||||
\(954\) | −25.8231 | − | 79.4752i | −0.836053 | − | 2.57311i | ||||
\(955\) | 3.98176 | − | 2.89292i | 0.128847 | − | 0.0936126i | ||||
\(956\) | 8.57180 | 0.277232 | ||||||||
\(957\) | −65.7880 | − | 31.0994i | −2.12663 | − | 1.00530i | ||||
\(958\) | −67.1917 | −2.17087 | ||||||||
\(959\) | 29.8716 | − | 21.7030i | 0.964603 | − | 0.700825i | ||||
\(960\) | −11.1427 | − | 34.2938i | −0.359630 | − | 1.10683i | ||||
\(961\) | −7.41159 | + | 22.8105i | −0.239084 | + | 0.735824i | ||||
\(962\) | 2.24099 | + | 1.62817i | 0.0722524 | + | 0.0524945i | ||||
\(963\) | −13.0854 | − | 9.50708i | −0.421670 | − | 0.306361i | ||||
\(964\) | 11.7840 | − | 36.2673i | 0.379536 | − | 1.16809i | ||||
\(965\) | −2.96810 | − | 9.13486i | −0.0955464 | − | 0.294061i | ||||
\(966\) | 32.4962 | − | 23.6099i | 1.04555 | − | 0.759635i | ||||
\(967\) | −18.3171 | −0.589037 | −0.294518 | − | 0.955646i | \(-0.595159\pi\) | ||||
−0.294518 | + | 0.955646i | \(0.595159\pi\) | |||||||
\(968\) | −0.282305 | + | 0.441392i | −0.00907363 | + | 0.0141869i | ||||
\(969\) | −8.28865 | −0.266270 | ||||||||
\(970\) | 50.4540 | − | 36.6570i | 1.61998 | − | 1.17698i | ||||
\(971\) | −1.91786 | − | 5.90256i | −0.0615470 | − | 0.189422i | 0.915555 | − | 0.402192i | \(-0.131752\pi\) |
−0.977102 | + | 0.212770i | \(0.931752\pi\) | |||||||
\(972\) | 13.6573 | − | 42.0330i | 0.438059 | − | 1.34821i | ||||
\(973\) | −10.4985 | − | 7.62760i | −0.336566 | − | 0.244530i | ||||
\(974\) | 47.4212 | + | 34.4535i | 1.51947 | + | 1.10396i | ||||
\(975\) | 1.30051 | − | 4.00254i | 0.0416495 | − | 0.128184i | ||||
\(976\) | 19.4573 | + | 59.8836i | 0.622815 | + | 1.91683i | ||||
\(977\) | −0.288159 | + | 0.209360i | −0.00921903 | + | 0.00669802i | −0.592385 | − | 0.805655i | \(-0.701814\pi\) |
0.583166 | + | 0.812353i | \(0.301814\pi\) | |||||||
\(978\) | 16.7587 | 0.535885 | ||||||||
\(979\) | 7.27037 | + | 3.43685i | 0.232362 | + | 0.109842i | ||||
\(980\) | 10.5040 | 0.335536 | ||||||||
\(981\) | −8.51361 | + | 6.18550i | −0.271819 | + | 0.197488i | ||||
\(982\) | −7.52693 | − | 23.1655i | −0.240194 | − | 0.739241i | ||||
\(983\) | 8.35079 | − | 25.7011i | 0.266349 | − | 0.819737i | −0.725031 | − | 0.688716i | \(-0.758174\pi\) |
0.991380 | − | 0.131021i | \(-0.0418255\pi\) | |||||||
\(984\) | −0.904986 | − | 0.657511i | −0.0288499 | − | 0.0209607i | ||||
\(985\) | −5.66763 | − | 4.11778i | −0.180586 | − | 0.131203i | ||||
\(986\) | −8.87029 | + | 27.2999i | −0.282488 | + | 0.869407i | ||||
\(987\) | −9.73024 | − | 29.9466i | −0.309717 | − | 0.953211i | ||||
\(988\) | 3.15858 | − | 2.29484i | 0.100488 | − | 0.0730087i | ||||
\(989\) | −50.5865 | −1.60856 | ||||||||
\(990\) | 40.2837 | − | 7.61090i | 1.28030 | − | 0.241890i | ||||
\(991\) | 16.0927 | 0.511203 | 0.255602 | − | 0.966782i | \(-0.417726\pi\) | ||||
0.255602 | + | 0.966782i | \(0.417726\pi\) | |||||||
\(992\) | 17.0890 | − | 12.4159i | 0.542577 | − | 0.394205i | ||||
\(993\) | 8.75763 | + | 26.9532i | 0.277915 | + | 0.855335i | ||||
\(994\) | 4.44707 | − | 13.6867i | 0.141052 | − | 0.434115i | ||||
\(995\) | −13.4650 | − | 9.78288i | −0.426868 | − | 0.310138i | ||||
\(996\) | 30.6328 | + | 22.2560i | 0.970637 | + | 0.705209i | ||||
\(997\) | 10.4546 | − | 32.1759i | 0.331100 | − | 1.01902i | −0.637512 | − | 0.770441i | \(-0.720036\pi\) |
0.968611 | − | 0.248580i | \(-0.0799638\pi\) | |||||||
\(998\) | −16.4334 | − | 50.5767i | −0.520189 | − | 1.60098i | ||||
\(999\) | 1.12004 | − | 0.813760i | 0.0354366 | − | 0.0257462i |
(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 | 143.2.h.c.14.6 | ✓ | 28 | |
11.2 | odd | 10 | 1573.2.a.r.1.12 | 14 | |||
11.4 | even | 5 | inner | 143.2.h.c.92.6 | yes | 28 | |
11.9 | even | 5 | 1573.2.a.s.1.3 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.2.h.c.14.6 | ✓ | 28 | 1.1 | even | 1 | trivial | |
143.2.h.c.92.6 | yes | 28 | 11.4 | even | 5 | inner | |
1573.2.a.r.1.12 | 14 | 11.2 | odd | 10 | |||
1573.2.a.s.1.3 | 14 | 11.9 | even | 5 |