Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(497,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.497");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.j (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 497.7 | ||
Character | \(\chi\) | \(=\) | 930.497 |
Dual form | 930.2.j.h.683.7 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 0.707107i | −0.500000 | + | 0.500000i | ||||
\(3\) | 0.0980849 | + | 1.72927i | 0.0566293 | + | 0.998395i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | −0.278761 | + | 2.21862i | −0.124666 | + | 0.992199i | ||||
\(6\) | −1.29214 | − | 1.15342i | −0.527512 | − | 0.470883i | ||||
\(7\) | −1.59354 | − | 1.59354i | −0.602300 | − | 0.602300i | 0.338622 | − | 0.940922i | \(-0.390039\pi\) |
−0.940922 | + | 0.338622i | \(0.890039\pi\) | |||||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | −2.98076 | + | 0.339231i | −0.993586 | + | 0.113077i | ||||
\(10\) | −1.37169 | − | 1.76592i | −0.433767 | − | 0.558432i | ||||
\(11\) | 3.70376i | 1.11672i | 0.829597 | + | 0.558362i | \(0.188570\pi\) | ||||
−0.829597 | + | 0.558362i | \(0.811430\pi\) | |||||||
\(12\) | 1.72927 | − | 0.0980849i | 0.499198 | − | 0.0283147i | ||||
\(13\) | −1.02541 | + | 1.02541i | −0.284399 | + | 0.284399i | −0.834860 | − | 0.550462i | \(-0.814452\pi\) |
0.550462 | + | 0.834860i | \(0.314452\pi\) | |||||||
\(14\) | 2.25360 | 0.602300 | ||||||||
\(15\) | −3.86395 | − | 0.264439i | −0.997666 | − | 0.0682780i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 0.479745 | − | 0.479745i | 0.116355 | − | 0.116355i | −0.646532 | − | 0.762887i | \(-0.723781\pi\) |
0.762887 | + | 0.646532i | \(0.223781\pi\) | |||||||
\(18\) | 1.86784 | − | 2.34759i | 0.440255 | − | 0.553332i | ||||
\(19\) | − | 0.296019i | − | 0.0679115i | −0.999423 | − | 0.0339558i | \(-0.989189\pi\) | ||
0.999423 | − | 0.0339558i | \(-0.0108105\pi\) | |||||||
\(20\) | 2.21862 | + | 0.278761i | 0.496099 | + | 0.0623328i | ||||
\(21\) | 2.59936 | − | 2.91196i | 0.567226 | − | 0.635442i | ||||
\(22\) | −2.61895 | − | 2.61895i | −0.558362 | − | 0.558362i | ||||
\(23\) | −1.49449 | − | 1.49449i | −0.311623 | − | 0.311623i | 0.533915 | − | 0.845538i | \(-0.320720\pi\) |
−0.845538 | + | 0.533915i | \(0.820720\pi\) | |||||||
\(24\) | −1.15342 | + | 1.29214i | −0.235441 | + | 0.263756i | ||||
\(25\) | −4.84458 | − | 1.23693i | −0.968917 | − | 0.247386i | ||||
\(26\) | − | 1.45015i | − | 0.284399i | ||||||
\(27\) | −0.878989 | − | 5.12127i | −0.169162 | − | 0.985588i | ||||
\(28\) | −1.59354 | + | 1.59354i | −0.301150 | + | 0.301150i | ||||
\(29\) | −1.30186 | −0.241749 | −0.120875 | − | 0.992668i | \(-0.538570\pi\) | ||||
−0.120875 | + | 0.992668i | \(0.538570\pi\) | |||||||
\(30\) | 2.91921 | − | 2.54523i | 0.532972 | − | 0.464694i | ||||
\(31\) | −1.00000 | −0.179605 | ||||||||
\(32\) | 0.707107 | − | 0.707107i | 0.125000 | − | 0.125000i | ||||
\(33\) | −6.40480 | + | 0.363282i | −1.11493 | + | 0.0632393i | ||||
\(34\) | 0.678461i | 0.116355i | ||||||||
\(35\) | 3.97967 | − | 3.09124i | 0.672688 | − | 0.522516i | ||||
\(36\) | 0.339231 | + | 2.98076i | 0.0565384 | + | 0.496793i | ||||
\(37\) | −2.24098 | − | 2.24098i | −0.368414 | − | 0.368414i | 0.498484 | − | 0.866899i | \(-0.333890\pi\) |
−0.866899 | + | 0.498484i | \(0.833890\pi\) | |||||||
\(38\) | 0.209317 | + | 0.209317i | 0.0339558 | + | 0.0339558i | ||||
\(39\) | −1.87380 | − | 1.67264i | −0.300047 | − | 0.267837i | ||||
\(40\) | −1.76592 | + | 1.37169i | −0.279216 | + | 0.216883i | ||||
\(41\) | − | 5.01872i | − | 0.783792i | −0.920010 | − | 0.391896i | \(-0.871819\pi\) | ||
0.920010 | − | 0.391896i | \(-0.128181\pi\) | |||||||
\(42\) | 0.221044 | + | 3.89709i | 0.0341079 | + | 0.601334i | ||||
\(43\) | −7.37080 | + | 7.37080i | −1.12404 | + | 1.12404i | −0.132907 | + | 0.991128i | \(0.542431\pi\) |
−0.991128 | + | 0.132907i | \(0.957569\pi\) | |||||||
\(44\) | 3.70376 | 0.558362 | ||||||||
\(45\) | 0.0782930 | − | 6.70775i | 0.0116712 | − | 0.999932i | ||||
\(46\) | 2.11353 | 0.311623 | ||||||||
\(47\) | −0.230740 | + | 0.230740i | −0.0336569 | + | 0.0336569i | −0.723735 | − | 0.690078i | \(-0.757576\pi\) |
0.690078 | + | 0.723735i | \(0.257576\pi\) | |||||||
\(48\) | −0.0980849 | − | 1.72927i | −0.0141573 | − | 0.249599i | ||||
\(49\) | − | 1.92128i | − | 0.274469i | ||||||
\(50\) | 4.30028 | − | 2.55100i | 0.608152 | − | 0.360765i | ||||
\(51\) | 0.876664 | + | 0.782553i | 0.122758 | + | 0.109579i | ||||
\(52\) | 1.02541 | + | 1.02541i | 0.142199 | + | 0.142199i | ||||
\(53\) | −0.282801 | − | 0.282801i | −0.0388457 | − | 0.0388457i | 0.687417 | − | 0.726263i | \(-0.258744\pi\) |
−0.726263 | + | 0.687417i | \(0.758744\pi\) | |||||||
\(54\) | 4.24282 | + | 2.99974i | 0.577375 | + | 0.408213i | ||||
\(55\) | −8.21724 | − | 1.03246i | −1.10801 | − | 0.139217i | ||||
\(56\) | − | 2.25360i | − | 0.301150i | ||||||
\(57\) | 0.511898 | − | 0.0290350i | 0.0678025 | − | 0.00384578i | ||||
\(58\) | 0.920553 | − | 0.920553i | 0.120875 | − | 0.120875i | ||||
\(59\) | 12.3141 | 1.60316 | 0.801581 | − | 0.597886i | \(-0.203992\pi\) | ||||
0.801581 | + | 0.597886i | \(0.203992\pi\) | |||||||
\(60\) | −0.264439 | + | 3.86395i | −0.0341390 | + | 0.498833i | ||||
\(61\) | 11.1031 | 1.42160 | 0.710801 | − | 0.703393i | \(-0.248333\pi\) | ||||
0.710801 | + | 0.703393i | \(0.248333\pi\) | |||||||
\(62\) | 0.707107 | − | 0.707107i | 0.0898027 | − | 0.0898027i | ||||
\(63\) | 5.29053 | + | 4.20937i | 0.666544 | + | 0.530331i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −1.98916 | − | 2.56085i | −0.246725 | − | 0.317635i | ||||
\(66\) | 4.27200 | − | 4.78576i | 0.525846 | − | 0.589086i | ||||
\(67\) | −9.42240 | − | 9.42240i | −1.15113 | − | 1.15113i | −0.986326 | − | 0.164803i | \(-0.947301\pi\) |
−0.164803 | − | 0.986326i | \(-0.552699\pi\) | |||||||
\(68\) | −0.479745 | − | 0.479745i | −0.0581776 | − | 0.0581776i | ||||
\(69\) | 2.43779 | − | 2.73097i | 0.293476 | − | 0.328770i | ||||
\(70\) | −0.628216 | + | 4.99989i | −0.0750861 | + | 0.597602i | ||||
\(71\) | 6.43406i | 0.763582i | 0.924249 | + | 0.381791i | \(0.124693\pi\) | ||||
−0.924249 | + | 0.381791i | \(0.875307\pi\) | |||||||
\(72\) | −2.34759 | − | 1.86784i | −0.276666 | − | 0.220127i | ||||
\(73\) | −5.91592 | + | 5.91592i | −0.692407 | + | 0.692407i | −0.962761 | − | 0.270354i | \(-0.912859\pi\) |
0.270354 | + | 0.962761i | \(0.412859\pi\) | |||||||
\(74\) | 3.16922 | 0.368414 | ||||||||
\(75\) | 1.66381 | − | 8.49893i | 0.192120 | − | 0.981371i | ||||
\(76\) | −0.296019 | −0.0339558 | ||||||||
\(77\) | 5.90207 | − | 5.90207i | 0.672603 | − | 0.672603i | ||||
\(78\) | 2.50771 | − | 0.142238i | 0.283942 | − | 0.0161053i | ||||
\(79\) | − | 3.56575i | − | 0.401178i | −0.979675 | − | 0.200589i | \(-0.935714\pi\) | ||
0.979675 | − | 0.200589i | \(-0.0642856\pi\) | |||||||
\(80\) | 0.278761 | − | 2.21862i | 0.0311664 | − | 0.248050i | ||||
\(81\) | 8.76985 | − | 2.02233i | 0.974427 | − | 0.224703i | ||||
\(82\) | 3.54877 | + | 3.54877i | 0.391896 | + | 0.391896i | ||||
\(83\) | −1.95472 | − | 1.95472i | −0.214558 | − | 0.214558i | 0.591642 | − | 0.806200i | \(-0.298480\pi\) |
−0.806200 | + | 0.591642i | \(0.798480\pi\) | |||||||
\(84\) | −2.91196 | − | 2.59936i | −0.317721 | − | 0.283613i | ||||
\(85\) | 0.930639 | + | 1.19811i | 0.100942 | + | 0.129953i | ||||
\(86\) | − | 10.4239i | − | 1.12404i | ||||||
\(87\) | −0.127693 | − | 2.25127i | −0.0136901 | − | 0.241361i | ||||
\(88\) | −2.61895 | + | 2.61895i | −0.279181 | + | 0.279181i | ||||
\(89\) | −10.7601 | −1.14057 | −0.570283 | − | 0.821448i | \(-0.693166\pi\) | ||||
−0.570283 | + | 0.821448i | \(0.693166\pi\) | |||||||
\(90\) | 4.68773 | + | 4.79845i | 0.494130 | + | 0.505802i | ||||
\(91\) | 3.26807 | 0.342587 | ||||||||
\(92\) | −1.49449 | + | 1.49449i | −0.155811 | + | 0.155811i | ||||
\(93\) | −0.0980849 | − | 1.72927i | −0.0101709 | − | 0.179317i | ||||
\(94\) | − | 0.326316i | − | 0.0336569i | ||||||
\(95\) | 0.656756 | + | 0.0825186i | 0.0673817 | + | 0.00846623i | ||||
\(96\) | 1.29214 | + | 1.15342i | 0.131878 | + | 0.117721i | ||||
\(97\) | 5.06700 | + | 5.06700i | 0.514476 | + | 0.514476i | 0.915895 | − | 0.401419i | \(-0.131483\pi\) |
−0.401419 | + | 0.915895i | \(0.631483\pi\) | |||||||
\(98\) | 1.35855 | + | 1.35855i | 0.137234 | + | 0.137234i | ||||
\(99\) | −1.25643 | − | 11.0400i | −0.126276 | − | 1.10956i | ||||
\(100\) | −1.23693 | + | 4.84458i | −0.123693 | + | 0.484458i | ||||
\(101\) | 2.21327i | 0.220229i | 0.993919 | + | 0.110115i | \(0.0351218\pi\) | ||||
−0.993919 | + | 0.110115i | \(0.964878\pi\) | |||||||
\(102\) | −1.17324 | + | 0.0665468i | −0.116168 | + | 0.00658911i | ||||
\(103\) | −4.54917 | + | 4.54917i | −0.448243 | + | 0.448243i | −0.894770 | − | 0.446527i | \(-0.852661\pi\) |
0.446527 | + | 0.894770i | \(0.352661\pi\) | |||||||
\(104\) | −1.45015 | −0.142199 | ||||||||
\(105\) | 5.73595 | + | 6.57873i | 0.559771 | + | 0.642019i | ||||
\(106\) | 0.399941 | 0.0388457 | ||||||||
\(107\) | −11.0754 | + | 11.0754i | −1.07070 | + | 1.07070i | −0.0733937 | + | 0.997303i | \(0.523383\pi\) |
−0.997303 | + | 0.0733937i | \(0.976617\pi\) | |||||||
\(108\) | −5.12127 | + | 0.878989i | −0.492794 | + | 0.0845808i | ||||
\(109\) | − | 9.99461i | − | 0.957310i | −0.878003 | − | 0.478655i | \(-0.841125\pi\) | ||
0.878003 | − | 0.478655i | \(-0.158875\pi\) | |||||||
\(110\) | 6.54053 | − | 5.08041i | 0.623615 | − | 0.484398i | ||||
\(111\) | 3.65545 | − | 4.09506i | 0.346960 | − | 0.388686i | ||||
\(112\) | 1.59354 | + | 1.59354i | 0.150575 | + | 0.150575i | ||||
\(113\) | −3.56657 | − | 3.56657i | −0.335515 | − | 0.335515i | 0.519161 | − | 0.854676i | \(-0.326244\pi\) |
−0.854676 | + | 0.519161i | \(0.826244\pi\) | |||||||
\(114\) | −0.341436 | + | 0.382497i | −0.0319784 | + | 0.0358242i | ||||
\(115\) | 3.73232 | − | 2.89911i | 0.348040 | − | 0.270343i | ||||
\(116\) | 1.30186i | 0.120875i | ||||||||
\(117\) | 2.70866 | − | 3.40436i | 0.250416 | − | 0.314733i | ||||
\(118\) | −8.70740 | + | 8.70740i | −0.801581 | + | 0.801581i | ||||
\(119\) | −1.52898 | −0.140162 | ||||||||
\(120\) | −2.54523 | − | 2.91921i | −0.232347 | − | 0.266486i | ||||
\(121\) | −2.71780 | −0.247073 | ||||||||
\(122\) | −7.85106 | + | 7.85106i | −0.710801 | + | 0.710801i | ||||
\(123\) | 8.67872 | − | 0.492260i | 0.782534 | − | 0.0443856i | ||||
\(124\) | 1.00000i | 0.0898027i | ||||||||
\(125\) | 4.09476 | − | 10.4035i | 0.366247 | − | 0.930518i | ||||
\(126\) | −6.71744 | + | 0.764491i | −0.598437 | + | 0.0681063i | ||||
\(127\) | −6.47722 | − | 6.47722i | −0.574760 | − | 0.574760i | 0.358695 | − | 0.933455i | \(-0.383222\pi\) |
−0.933455 | + | 0.358695i | \(0.883222\pi\) | |||||||
\(128\) | −0.707107 | − | 0.707107i | −0.0625000 | − | 0.0625000i | ||||
\(129\) | −13.4691 | − | 12.0231i | −1.18589 | − | 1.05858i | ||||
\(130\) | 3.21735 | + | 0.404246i | 0.282180 | + | 0.0354547i | ||||
\(131\) | 16.5912i | 1.44958i | 0.688970 | + | 0.724790i | \(0.258063\pi\) | ||||
−0.688970 | + | 0.724790i | \(0.741937\pi\) | |||||||
\(132\) | 0.363282 | + | 6.40480i | 0.0316197 | + | 0.557466i | ||||
\(133\) | −0.471718 | + | 0.471718i | −0.0409031 | + | 0.0409031i | ||||
\(134\) | 13.3253 | 1.15113 | ||||||||
\(135\) | 11.6072 | − | 0.522539i | 0.998988 | − | 0.0449730i | ||||
\(136\) | 0.678461 | 0.0581776 | ||||||||
\(137\) | −11.5131 | + | 11.5131i | −0.983626 | + | 0.983626i | −0.999868 | − | 0.0162416i | \(-0.994830\pi\) |
0.0162416 | + | 0.999868i | \(0.494830\pi\) | |||||||
\(138\) | 0.207305 | + | 3.65486i | 0.0176470 | + | 0.311123i | ||||
\(139\) | − | 1.69987i | − | 0.144181i | −0.997398 | − | 0.0720907i | \(-0.977033\pi\) | ||
0.997398 | − | 0.0720907i | \(-0.0229671\pi\) | |||||||
\(140\) | −3.09124 | − | 3.97967i | −0.261258 | − | 0.336344i | ||||
\(141\) | −0.421645 | − | 0.376380i | −0.0355089 | − | 0.0316969i | ||||
\(142\) | −4.54956 | − | 4.54956i | −0.381791 | − | 0.381791i | ||||
\(143\) | −3.79788 | − | 3.79788i | −0.317595 | − | 0.317595i | ||||
\(144\) | 2.98076 | − | 0.339231i | 0.248397 | − | 0.0282692i | ||||
\(145\) | 0.362907 | − | 2.88834i | 0.0301378 | − | 0.239863i | ||||
\(146\) | − | 8.36638i | − | 0.692407i | ||||||
\(147\) | 3.32241 | − | 0.188449i | 0.274028 | − | 0.0155430i | ||||
\(148\) | −2.24098 | + | 2.24098i | −0.184207 | + | 0.184207i | ||||
\(149\) | 11.1620 | 0.914429 | 0.457214 | − | 0.889357i | \(-0.348847\pi\) | ||||
0.457214 | + | 0.889357i | \(0.348847\pi\) | |||||||
\(150\) | 4.83316 | + | 7.18614i | 0.394626 | + | 0.586746i | ||||
\(151\) | −2.13427 | −0.173684 | −0.0868422 | − | 0.996222i | \(-0.527678\pi\) | ||||
−0.0868422 | + | 0.996222i | \(0.527678\pi\) | |||||||
\(152\) | 0.209317 | − | 0.209317i | 0.0169779 | − | 0.0169779i | ||||
\(153\) | −1.26726 | + | 1.59275i | −0.102452 | + | 0.128766i | ||||
\(154\) | 8.34679i | 0.672603i | ||||||||
\(155\) | 0.278761 | − | 2.21862i | 0.0223906 | − | 0.178204i | ||||
\(156\) | −1.67264 | + | 1.87380i | −0.133918 | + | 0.150024i | ||||
\(157\) | −7.87504 | − | 7.87504i | −0.628497 | − | 0.628497i | 0.319193 | − | 0.947690i | \(-0.396588\pi\) |
−0.947690 | + | 0.319193i | \(0.896588\pi\) | |||||||
\(158\) | 2.52136 | + | 2.52136i | 0.200589 | + | 0.200589i | ||||
\(159\) | 0.461301 | − | 0.516778i | 0.0365835 | − | 0.0409831i | ||||
\(160\) | 1.37169 | + | 1.76592i | 0.108442 | + | 0.139608i | ||||
\(161\) | 4.76305i | 0.375381i | ||||||||
\(162\) | −4.77121 | + | 7.63122i | −0.374862 | + | 0.599565i | ||||
\(163\) | 2.27337 | − | 2.27337i | 0.178064 | − | 0.178064i | −0.612447 | − | 0.790511i | \(-0.709815\pi\) |
0.790511 | + | 0.612447i | \(0.209815\pi\) | |||||||
\(164\) | −5.01872 | −0.391896 | ||||||||
\(165\) | 0.979419 | − | 14.3111i | 0.0762477 | − | 1.11412i | ||||
\(166\) | 2.76439 | 0.214558 | ||||||||
\(167\) | −8.76742 | + | 8.76742i | −0.678444 | + | 0.678444i | −0.959648 | − | 0.281204i | \(-0.909266\pi\) |
0.281204 | + | 0.959648i | \(0.409266\pi\) | |||||||
\(168\) | 3.89709 | − | 0.221044i | 0.300667 | − | 0.0170539i | ||||
\(169\) | 10.8971i | 0.838235i | ||||||||
\(170\) | −1.50525 | − | 0.189128i | −0.115447 | − | 0.0145055i | ||||
\(171\) | 0.100419 | + | 0.882362i | 0.00767922 | + | 0.0674759i | ||||
\(172\) | 7.37080 | + | 7.37080i | 0.562018 | + | 0.562018i | ||||
\(173\) | 6.46161 | + | 6.46161i | 0.491267 | + | 0.491267i | 0.908705 | − | 0.417438i | \(-0.137072\pi\) |
−0.417438 | + | 0.908705i | \(0.637072\pi\) | |||||||
\(174\) | 1.68218 | + | 1.50159i | 0.127526 | + | 0.113836i | ||||
\(175\) | 5.74893 | + | 9.69112i | 0.434578 | + | 0.732580i | ||||
\(176\) | − | 3.70376i | − | 0.279181i | ||||||
\(177\) | 1.20783 | + | 21.2945i | 0.0907860 | + | 1.60059i | ||||
\(178\) | 7.60852 | − | 7.60852i | 0.570283 | − | 0.570283i | ||||
\(179\) | −18.6584 | −1.39459 | −0.697297 | − | 0.716782i | \(-0.745614\pi\) | ||||
−0.697297 | + | 0.716782i | \(0.745614\pi\) | |||||||
\(180\) | −6.70775 | − | 0.0782930i | −0.499966 | − | 0.00583562i | ||||
\(181\) | 20.5221 | 1.52539 | 0.762697 | − | 0.646756i | \(-0.223875\pi\) | ||||
0.762697 | + | 0.646756i | \(0.223875\pi\) | |||||||
\(182\) | −2.31087 | + | 2.31087i | −0.171293 | + | 0.171293i | ||||
\(183\) | 1.08904 | + | 19.2002i | 0.0805044 | + | 1.41932i | ||||
\(184\) | − | 2.11353i | − | 0.155811i | ||||||
\(185\) | 5.59658 | − | 4.34719i | 0.411469 | − | 0.319612i | ||||
\(186\) | 1.29214 | + | 1.15342i | 0.0947440 | + | 0.0845731i | ||||
\(187\) | 1.77686 | + | 1.77686i | 0.129937 | + | 0.129937i | ||||
\(188\) | 0.230740 | + | 0.230740i | 0.0168285 | + | 0.0168285i | ||||
\(189\) | −6.76023 | + | 9.56163i | −0.491734 | + | 0.695506i | ||||
\(190\) | −0.522746 | + | 0.406047i | −0.0379240 | + | 0.0294577i | ||||
\(191\) | 22.5879i | 1.63440i | 0.576351 | + | 0.817202i | \(0.304476\pi\) | ||||
−0.576351 | + | 0.817202i | \(0.695524\pi\) | |||||||
\(192\) | −1.72927 | + | 0.0980849i | −0.124799 | + | 0.00707867i | ||||
\(193\) | 7.24548 | − | 7.24548i | 0.521541 | − | 0.521541i | −0.396496 | − | 0.918037i | \(-0.629774\pi\) |
0.918037 | + | 0.396496i | \(0.129774\pi\) | |||||||
\(194\) | −7.16582 | −0.514476 | ||||||||
\(195\) | 4.23330 | − | 3.69098i | 0.303153 | − | 0.264317i | ||||
\(196\) | −1.92128 | −0.137234 | ||||||||
\(197\) | −3.23816 | + | 3.23816i | −0.230709 | + | 0.230709i | −0.812989 | − | 0.582279i | \(-0.802161\pi\) |
0.582279 | + | 0.812989i | \(0.302161\pi\) | |||||||
\(198\) | 8.69489 | + | 6.91803i | 0.617919 | + | 0.491643i | ||||
\(199\) | 17.2659i | 1.22394i | 0.790879 | + | 0.611972i | \(0.209623\pi\) | ||||
−0.790879 | + | 0.611972i | \(0.790377\pi\) | |||||||
\(200\) | −2.55100 | − | 4.30028i | −0.180383 | − | 0.304076i | ||||
\(201\) | 15.3697 | − | 17.2181i | 1.08409 | − | 1.21447i | ||||
\(202\) | −1.56502 | − | 1.56502i | −0.110115 | − | 0.110115i | ||||
\(203\) | 2.07456 | + | 2.07456i | 0.145606 | + | 0.145606i | ||||
\(204\) | 0.782553 | − | 0.876664i | 0.0547897 | − | 0.0613788i | ||||
\(205\) | 11.1346 | + | 1.39902i | 0.777677 | + | 0.0977119i | ||||
\(206\) | − | 6.43350i | − | 0.448243i | ||||||
\(207\) | 4.96169 | + | 3.94774i | 0.344861 | + | 0.274387i | ||||
\(208\) | 1.02541 | − | 1.02541i | 0.0710996 | − | 0.0710996i | ||||
\(209\) | 1.09638 | 0.0758384 | ||||||||
\(210\) | −8.70779 | − | 0.595941i | −0.600895 | − | 0.0411238i | ||||
\(211\) | −21.7612 | −1.49810 | −0.749050 | − | 0.662513i | \(-0.769490\pi\) | ||||
−0.749050 | + | 0.662513i | \(0.769490\pi\) | |||||||
\(212\) | −0.282801 | + | 0.282801i | −0.0194228 | + | 0.0194228i | ||||
\(213\) | −11.1262 | + | 0.631083i | −0.762357 | + | 0.0432411i | ||||
\(214\) | − | 15.6629i | − | 1.07070i | ||||||
\(215\) | −14.2983 | − | 18.4077i | −0.975138 | − | 1.25540i | ||||
\(216\) | 2.99974 | − | 4.24282i | 0.204107 | − | 0.288687i | ||||
\(217\) | 1.59354 | + | 1.59354i | 0.108176 | + | 0.108176i | ||||
\(218\) | 7.06726 | + | 7.06726i | 0.478655 | + | 0.478655i | ||||
\(219\) | −10.8105 | − | 9.64998i | −0.730506 | − | 0.652085i | ||||
\(220\) | −1.03246 | + | 8.21724i | −0.0696085 | + | 0.554006i | ||||
\(221\) | 0.983873i | 0.0661825i | ||||||||
\(222\) | 0.310853 | + | 5.48044i | 0.0208631 | + | 0.367823i | ||||
\(223\) | −5.37150 | + | 5.37150i | −0.359702 | + | 0.359702i | −0.863703 | − | 0.504001i | \(-0.831861\pi\) |
0.504001 | + | 0.863703i | \(0.331861\pi\) | |||||||
\(224\) | −2.25360 | −0.150575 | ||||||||
\(225\) | 14.8601 | + | 2.04356i | 0.990676 | + | 0.136237i | ||||
\(226\) | 5.04389 | 0.335515 | ||||||||
\(227\) | −12.5296 | + | 12.5296i | −0.831620 | + | 0.831620i | −0.987738 | − | 0.156118i | \(-0.950102\pi\) |
0.156118 | + | 0.987738i | \(0.450102\pi\) | |||||||
\(228\) | −0.0290350 | − | 0.511898i | −0.00192289 | − | 0.0339013i | ||||
\(229\) | 7.68865i | 0.508081i | 0.967194 | + | 0.254040i | \(0.0817596\pi\) | ||||
−0.967194 | + | 0.254040i | \(0.918240\pi\) | |||||||
\(230\) | −0.589168 | + | 4.68912i | −0.0388486 | + | 0.309192i | ||||
\(231\) | 10.7852 | + | 9.62738i | 0.709613 | + | 0.633435i | ||||
\(232\) | −0.920553 | − | 0.920553i | −0.0604373 | − | 0.0604373i | ||||
\(233\) | 6.41781 | + | 6.41781i | 0.420445 | + | 0.420445i | 0.885357 | − | 0.464912i | \(-0.153914\pi\) |
−0.464912 | + | 0.885357i | \(0.653914\pi\) | |||||||
\(234\) | 0.491937 | + | 4.32256i | 0.0321589 | + | 0.282575i | ||||
\(235\) | −0.447604 | − | 0.576247i | −0.0291985 | − | 0.0375902i | ||||
\(236\) | − | 12.3141i | − | 0.801581i | ||||||
\(237\) | 6.16614 | − | 0.349746i | 0.400534 | − | 0.0227184i | ||||
\(238\) | 1.08115 | − | 1.08115i | 0.0700808 | − | 0.0700808i | ||||
\(239\) | −23.1583 | −1.49799 | −0.748994 | − | 0.662577i | \(-0.769463\pi\) | ||||
−0.748994 | + | 0.662577i | \(0.769463\pi\) | |||||||
\(240\) | 3.86395 | + | 0.264439i | 0.249417 | + | 0.0170695i | ||||
\(241\) | −24.6719 | −1.58926 | −0.794628 | − | 0.607097i | \(-0.792334\pi\) | ||||
−0.794628 | + | 0.607097i | \(0.792334\pi\) | |||||||
\(242\) | 1.92178 | − | 1.92178i | 0.123537 | − | 0.123537i | ||||
\(243\) | 4.35735 | + | 14.9671i | 0.279524 | + | 0.960139i | ||||
\(244\) | − | 11.1031i | − | 0.710801i | ||||||
\(245\) | 4.26260 | + | 0.535577i | 0.272327 | + | 0.0342168i | ||||
\(246\) | −5.78870 | + | 6.48486i | −0.369074 | + | 0.413460i | ||||
\(247\) | 0.303542 | + | 0.303542i | 0.0193139 | + | 0.0193139i | ||||
\(248\) | −0.707107 | − | 0.707107i | −0.0449013 | − | 0.0449013i | ||||
\(249\) | 3.18851 | − | 3.57196i | 0.202063 | − | 0.226364i | ||||
\(250\) | 4.46095 | + | 10.2518i | 0.282136 | + | 0.648382i | ||||
\(251\) | 18.6979i | 1.18020i | 0.807330 | + | 0.590100i | \(0.200912\pi\) | ||||
−0.807330 | + | 0.590100i | \(0.799088\pi\) | |||||||
\(252\) | 4.20937 | − | 5.29053i | 0.265166 | − | 0.333272i | ||||
\(253\) | 5.53522 | − | 5.53522i | 0.347997 | − | 0.347997i | ||||
\(254\) | 9.16017 | 0.574760 | ||||||||
\(255\) | −1.98057 | + | 1.72684i | −0.124028 | + | 0.108139i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 7.29634 | − | 7.29634i | 0.455133 | − | 0.455133i | −0.441921 | − | 0.897054i | \(-0.645703\pi\) |
0.897054 | + | 0.441921i | \(0.145703\pi\) | |||||||
\(258\) | 18.0257 | − | 1.02242i | 1.12223 | − | 0.0636534i | ||||
\(259\) | 7.14216i | 0.443792i | ||||||||
\(260\) | −2.56085 | + | 1.98916i | −0.158817 | + | 0.123363i | ||||
\(261\) | 3.88053 | − | 0.441631i | 0.240199 | − | 0.0273362i | ||||
\(262\) | −11.7317 | − | 11.7317i | −0.724790 | − | 0.724790i | ||||
\(263\) | 11.3678 | + | 11.3678i | 0.700968 | + | 0.700968i | 0.964618 | − | 0.263650i | \(-0.0849264\pi\) |
−0.263650 | + | 0.964618i | \(0.584926\pi\) | |||||||
\(264\) | −4.78576 | − | 4.27200i | −0.294543 | − | 0.262923i | ||||
\(265\) | 0.706262 | − | 0.548595i | 0.0433854 | − | 0.0336999i | ||||
\(266\) | − | 0.667110i | − | 0.0409031i | ||||||
\(267\) | −1.05540 | − | 18.6071i | −0.0645894 | − | 1.13874i | ||||
\(268\) | −9.42240 | + | 9.42240i | −0.575565 | + | 0.575565i | ||||
\(269\) | −5.71888 | −0.348687 | −0.174343 | − | 0.984685i | \(-0.555780\pi\) | ||||
−0.174343 | + | 0.984685i | \(0.555780\pi\) | |||||||
\(270\) | −7.83804 | + | 8.57702i | −0.477008 | + | 0.521981i | ||||
\(271\) | −14.6399 | −0.889311 | −0.444656 | − | 0.895702i | \(-0.646674\pi\) | ||||
−0.444656 | + | 0.895702i | \(0.646674\pi\) | |||||||
\(272\) | −0.479745 | + | 0.479745i | −0.0290888 | + | 0.0290888i | ||||
\(273\) | 0.320548 | + | 5.65138i | 0.0194005 | + | 0.342037i | ||||
\(274\) | − | 16.2819i | − | 0.983626i | ||||||
\(275\) | 4.58129 | − | 17.9432i | 0.276262 | − | 1.08201i | ||||
\(276\) | −2.73097 | − | 2.43779i | −0.164385 | − | 0.146738i | ||||
\(277\) | −0.510362 | − | 0.510362i | −0.0306647 | − | 0.0306647i | 0.691608 | − | 0.722273i | \(-0.256903\pi\) |
−0.722273 | + | 0.691608i | \(0.756903\pi\) | |||||||
\(278\) | 1.20199 | + | 1.20199i | 0.0720907 | + | 0.0720907i | ||||
\(279\) | 2.98076 | − | 0.339231i | 0.178453 | − | 0.0203092i | ||||
\(280\) | 4.99989 | + | 0.628216i | 0.298801 | + | 0.0375431i | ||||
\(281\) | 29.3698i | 1.75206i | 0.482260 | + | 0.876028i | \(0.339816\pi\) | ||||
−0.482260 | + | 0.876028i | \(0.660184\pi\) | |||||||
\(282\) | 0.564289 | − | 0.0320067i | 0.0336029 | − | 0.00190597i | ||||
\(283\) | −1.77470 | + | 1.77470i | −0.105495 | + | 0.105495i | −0.757884 | − | 0.652389i | \(-0.773767\pi\) |
0.652389 | + | 0.757884i | \(0.273767\pi\) | |||||||
\(284\) | 6.43406 | 0.381791 | ||||||||
\(285\) | −0.0782792 | + | 1.14380i | −0.00463686 | + | 0.0677530i | ||||
\(286\) | 5.37102 | 0.317595 | ||||||||
\(287\) | −7.99751 | + | 7.99751i | −0.472078 | + | 0.472078i | ||||
\(288\) | −1.86784 | + | 2.34759i | −0.110064 | + | 0.138333i | ||||
\(289\) | 16.5397i | 0.972923i | ||||||||
\(290\) | 1.78575 | + | 2.29898i | 0.104863 | + | 0.135001i | ||||
\(291\) | −8.26522 | + | 9.25921i | −0.484516 | + | 0.542785i | ||||
\(292\) | 5.91592 | + | 5.91592i | 0.346203 | + | 0.346203i | ||||
\(293\) | 14.2801 | + | 14.2801i | 0.834255 | + | 0.834255i | 0.988096 | − | 0.153841i | \(-0.0491644\pi\) |
−0.153841 | + | 0.988096i | \(0.549164\pi\) | |||||||
\(294\) | −2.21605 | + | 2.48256i | −0.129243 | + | 0.144786i | ||||
\(295\) | −3.43269 | + | 27.3204i | −0.199859 | + | 1.59066i | ||||
\(296\) | − | 3.16922i | − | 0.184207i | ||||||
\(297\) | 18.9679 | − | 3.25556i | 1.10063 | − | 0.188907i | ||||
\(298\) | −7.89274 | + | 7.89274i | −0.457214 | + | 0.457214i | ||||
\(299\) | 3.06494 | 0.177250 | ||||||||
\(300\) | −8.49893 | − | 1.66381i | −0.490686 | − | 0.0960600i | ||||
\(301\) | 23.4913 | 1.35401 | ||||||||
\(302\) | 1.50916 | − | 1.50916i | 0.0868422 | − | 0.0868422i | ||||
\(303\) | −3.82735 | + | 0.217089i | −0.219876 | + | 0.0124714i | ||||
\(304\) | 0.296019i | 0.0169779i | ||||||||
\(305\) | −3.09510 | + | 24.6335i | −0.177225 | + | 1.41051i | ||||
\(306\) | −0.230155 | − | 2.02233i | −0.0131571 | − | 0.115609i | ||||
\(307\) | 0.577798 | + | 0.577798i | 0.0329767 | + | 0.0329767i | 0.723403 | − | 0.690426i | \(-0.242577\pi\) |
−0.690426 | + | 0.723403i | \(0.742577\pi\) | |||||||
\(308\) | −5.90207 | − | 5.90207i | −0.336302 | − | 0.336302i | ||||
\(309\) | −8.31296 | − | 7.42055i | −0.472908 | − | 0.422140i | ||||
\(310\) | 1.37169 | + | 1.76592i | 0.0779068 | + | 0.100297i | ||||
\(311\) | − | 29.9949i | − | 1.70086i | −0.526091 | − | 0.850429i | \(-0.676343\pi\) | ||
0.526091 | − | 0.850429i | \(-0.323657\pi\) | |||||||
\(312\) | −0.142238 | − | 2.50771i | −0.00805265 | − | 0.141971i | ||||
\(313\) | −6.71881 | + | 6.71881i | −0.379769 | + | 0.379769i | −0.871019 | − | 0.491250i | \(-0.836540\pi\) |
0.491250 | + | 0.871019i | \(0.336540\pi\) | |||||||
\(314\) | 11.1370 | 0.628497 | ||||||||
\(315\) | −10.8138 | + | 10.5643i | −0.609289 | + | 0.595230i | ||||
\(316\) | −3.56575 | −0.200589 | ||||||||
\(317\) | 17.6706 | − | 17.6706i | 0.992478 | − | 0.992478i | −0.00749364 | − | 0.999972i | \(-0.502385\pi\) |
0.999972 | + | 0.00749364i | \(0.00238532\pi\) | |||||||
\(318\) | 0.0392281 | + | 0.691606i | 0.00219980 | + | 0.0387833i | ||||
\(319\) | − | 4.82177i | − | 0.269967i | ||||||
\(320\) | −2.21862 | − | 0.278761i | −0.124025 | − | 0.0155832i | ||||
\(321\) | −20.2387 | − | 18.0660i | −1.12961 | − | 1.00835i | ||||
\(322\) | −3.36798 | − | 3.36798i | −0.187690 | − | 0.187690i | ||||
\(323\) | −0.142014 | − | 0.142014i | −0.00790185 | − | 0.00790185i | ||||
\(324\) | −2.02233 | − | 8.76985i | −0.112352 | − | 0.487214i | ||||
\(325\) | 6.23607 | − | 3.69934i | 0.345915 | − | 0.205202i | ||||
\(326\) | 3.21503i | 0.178064i | ||||||||
\(327\) | 17.2834 | − | 0.980320i | 0.955774 | − | 0.0542118i | ||||
\(328\) | 3.54877 | − | 3.54877i | 0.195948 | − | 0.195948i | ||||
\(329\) | 0.735386 | 0.0405431 | ||||||||
\(330\) | 9.42693 | + | 10.8120i | 0.518935 | + | 0.595183i | ||||
\(331\) | 15.4781 | 0.850755 | 0.425377 | − | 0.905016i | \(-0.360141\pi\) | ||||
0.425377 | + | 0.905016i | \(0.360141\pi\) | |||||||
\(332\) | −1.95472 | + | 1.95472i | −0.107279 | + | 0.107279i | ||||
\(333\) | 7.44002 | + | 5.91961i | 0.407711 | + | 0.324392i | ||||
\(334\) | − | 12.3990i | − | 0.678444i | ||||||
\(335\) | 23.5314 | − | 18.2782i | 1.28566 | − | 0.998643i | ||||
\(336\) | −2.59936 | + | 2.91196i | −0.141806 | + | 0.158860i | ||||
\(337\) | −18.1620 | − | 18.1620i | −0.989349 | − | 0.989349i | 0.0105948 | − | 0.999944i | \(-0.496627\pi\) |
−0.999944 | + | 0.0105948i | \(0.996627\pi\) | |||||||
\(338\) | −7.70538 | − | 7.70538i | −0.419117 | − | 0.419117i | ||||
\(339\) | 5.81774 | − | 6.51740i | 0.315976 | − | 0.353976i | ||||
\(340\) | 1.19811 | − | 0.930639i | 0.0649765 | − | 0.0504710i | ||||
\(341\) | − | 3.70376i | − | 0.200570i | ||||||
\(342\) | −0.694931 | − | 0.552918i | −0.0375776 | − | 0.0298984i | ||||
\(343\) | −14.2164 | + | 14.2164i | −0.767613 | + | 0.767613i | ||||
\(344\) | −10.4239 | −0.562018 | ||||||||
\(345\) | 5.37942 | + | 6.16983i | 0.289618 | + | 0.332172i | ||||
\(346\) | −9.13810 | −0.491267 | ||||||||
\(347\) | 12.9136 | − | 12.9136i | 0.693239 | − | 0.693239i | −0.269704 | − | 0.962943i | \(-0.586926\pi\) |
0.962943 | + | 0.269704i | \(0.0869260\pi\) | |||||||
\(348\) | −2.25127 | + | 0.127693i | −0.120681 | + | 0.00684505i | ||||
\(349\) | − | 30.6701i | − | 1.64173i | −0.571119 | − | 0.820867i | \(-0.693490\pi\) | ||
0.571119 | − | 0.820867i | \(-0.306510\pi\) | |||||||
\(350\) | −10.9178 | − | 2.78755i | −0.583579 | − | 0.149001i | ||||
\(351\) | 6.15274 | + | 4.35009i | 0.328409 | + | 0.232191i | ||||
\(352\) | 2.61895 | + | 2.61895i | 0.139591 | + | 0.139591i | ||||
\(353\) | −11.6278 | − | 11.6278i | −0.618886 | − | 0.618886i | 0.326359 | − | 0.945246i | \(-0.394178\pi\) |
−0.945246 | + | 0.326359i | \(0.894178\pi\) | |||||||
\(354\) | −15.9115 | − | 14.2034i | −0.845688 | − | 0.754902i | ||||
\(355\) | −14.2748 | − | 1.79356i | −0.757625 | − | 0.0951924i | ||||
\(356\) | 10.7601i | 0.570283i | ||||||||
\(357\) | −0.149970 | − | 2.64402i | −0.00793725 | − | 0.139937i | ||||
\(358\) | 13.1935 | − | 13.1935i | 0.697297 | − | 0.697297i | ||||
\(359\) | 14.2862 | 0.753998 | 0.376999 | − | 0.926214i | \(-0.376956\pi\) | ||||
0.376999 | + | 0.926214i | \(0.376956\pi\) | |||||||
\(360\) | 4.79845 | − | 4.68773i | 0.252901 | − | 0.247065i | ||||
\(361\) | 18.9124 | 0.995388 | ||||||||
\(362\) | −14.5113 | + | 14.5113i | −0.762697 | + | 0.762697i | ||||
\(363\) | −0.266575 | − | 4.69982i | −0.0139916 | − | 0.246677i | ||||
\(364\) | − | 3.26807i | − | 0.171293i | ||||||
\(365\) | −11.4761 | − | 14.7743i | −0.600686 | − | 0.773324i | ||||
\(366\) | −14.3467 | − | 12.8065i | −0.749913 | − | 0.669408i | ||||
\(367\) | 4.98013 | + | 4.98013i | 0.259961 | + | 0.259961i | 0.825038 | − | 0.565077i | \(-0.191154\pi\) |
−0.565077 | + | 0.825038i | \(0.691154\pi\) | |||||||
\(368\) | 1.49449 | + | 1.49449i | 0.0779057 | + | 0.0779057i | ||||
\(369\) | 1.70250 | + | 14.9596i | 0.0886288 | + | 0.778765i | ||||
\(370\) | −0.883454 | + | 7.03131i | −0.0459286 | + | 0.365540i | ||||
\(371\) | 0.901307i | 0.0467935i | ||||||||
\(372\) | −1.72927 | + | 0.0980849i | −0.0896585 | + | 0.00508546i | ||||
\(373\) | 16.3054 | − | 16.3054i | 0.844264 | − | 0.844264i | −0.145146 | − | 0.989410i | \(-0.546365\pi\) |
0.989410 | + | 0.145146i | \(0.0463653\pi\) | |||||||
\(374\) | −2.51285 | −0.129937 | ||||||||
\(375\) | 18.3921 | + | 6.06053i | 0.949765 | + | 0.312964i | ||||
\(376\) | −0.326316 | −0.0168285 | ||||||||
\(377\) | 1.33494 | − | 1.33494i | 0.0687531 | − | 0.0687531i | ||||
\(378\) | −1.98089 | − | 11.5413i | −0.101886 | − | 0.593620i | ||||
\(379\) | − | 17.5558i | − | 0.901780i | −0.892579 | − | 0.450890i | \(-0.851107\pi\) | ||
0.892579 | − | 0.450890i | \(-0.148893\pi\) | |||||||
\(380\) | 0.0825186 | − | 0.656756i | 0.00423311 | − | 0.0336909i | ||||
\(381\) | 10.5655 | − | 11.8362i | 0.541289 | − | 0.606386i | ||||
\(382\) | −15.9721 | − | 15.9721i | −0.817202 | − | 0.817202i | ||||
\(383\) | 6.79735 | + | 6.79735i | 0.347328 | + | 0.347328i | 0.859113 | − | 0.511785i | \(-0.171016\pi\) |
−0.511785 | + | 0.859113i | \(0.671016\pi\) | |||||||
\(384\) | 1.15342 | − | 1.29214i | 0.0588604 | − | 0.0659390i | ||||
\(385\) | 11.4492 | + | 14.7397i | 0.583506 | + | 0.751207i | ||||
\(386\) | 10.2467i | 0.521541i | ||||||||
\(387\) | 19.4702 | − | 24.4710i | 0.989724 | − | 1.24393i | ||||
\(388\) | 5.06700 | − | 5.06700i | 0.257238 | − | 0.257238i | ||||
\(389\) | −9.51345 | −0.482351 | −0.241175 | − | 0.970482i | \(-0.577533\pi\) | ||||
−0.241175 | + | 0.970482i | \(0.577533\pi\) | |||||||
\(390\) | −0.383478 | + | 5.60331i | −0.0194182 | + | 0.283735i | ||||
\(391\) | −1.43395 | −0.0725178 | ||||||||
\(392\) | 1.35855 | − | 1.35855i | 0.0686172 | − | 0.0686172i | ||||
\(393\) | −28.6907 | + | 1.62735i | −1.44725 | + | 0.0820887i | ||||
\(394\) | − | 4.57945i | − | 0.230709i | ||||||
\(395\) | 7.91105 | + | 0.993990i | 0.398048 | + | 0.0500131i | ||||
\(396\) | −11.0400 | + | 1.25643i | −0.554781 | + | 0.0631379i | ||||
\(397\) | 10.8764 | + | 10.8764i | 0.545869 | + | 0.545869i | 0.925243 | − | 0.379374i | \(-0.123861\pi\) |
−0.379374 | + | 0.925243i | \(0.623861\pi\) | |||||||
\(398\) | −12.2088 | − | 12.2088i | −0.611972 | − | 0.611972i | ||||
\(399\) | −0.861997 | − | 0.769460i | −0.0431538 | − | 0.0385212i | ||||
\(400\) | 4.84458 | + | 1.23693i | 0.242229 | + | 0.0618465i | ||||
\(401\) | 8.00715i | 0.399858i | 0.979810 | + | 0.199929i | \(0.0640711\pi\) | ||||
−0.979810 | + | 0.199929i | \(0.935929\pi\) | |||||||
\(402\) | 1.30701 | + | 23.0430i | 0.0651877 | + | 1.14928i | ||||
\(403\) | 1.02541 | − | 1.02541i | 0.0510795 | − | 0.0510795i | ||||
\(404\) | 2.21327 | 0.110115 | ||||||||
\(405\) | 2.04210 | + | 20.0207i | 0.101473 | + | 0.994838i | ||||
\(406\) | −2.93387 | −0.145606 | ||||||||
\(407\) | 8.30003 | − | 8.30003i | 0.411417 | − | 0.411417i | ||||
\(408\) | 0.0665468 | + | 1.17324i | 0.00329456 | + | 0.0580842i | ||||
\(409\) | − | 4.41491i | − | 0.218303i | −0.994025 | − | 0.109152i | \(-0.965187\pi\) | ||
0.994025 | − | 0.109152i | \(-0.0348134\pi\) | |||||||
\(410\) | −8.86264 | + | 6.88413i | −0.437695 | + | 0.339983i | ||||
\(411\) | −21.0384 | − | 18.7799i | −1.03775 | − | 0.926346i | ||||
\(412\) | 4.54917 | + | 4.54917i | 0.224122 | + | 0.224122i | ||||
\(413\) | −19.6230 | − | 19.6230i | −0.965585 | − | 0.965585i | ||||
\(414\) | −6.29992 | + | 0.716973i | −0.309624 | + | 0.0352373i | ||||
\(415\) | 4.88168 | − | 3.79188i | 0.239632 | − | 0.186136i | ||||
\(416\) | 1.45015i | 0.0710996i | ||||||||
\(417\) | 2.93954 | − | 0.166732i | 0.143950 | − | 0.00816490i | ||||
\(418\) | −0.775260 | + | 0.775260i | −0.0379192 | + | 0.0379192i | ||||
\(419\) | −2.07061 | −0.101156 | −0.0505780 | − | 0.998720i | \(-0.516106\pi\) | ||||
−0.0505780 | + | 0.998720i | \(0.516106\pi\) | |||||||
\(420\) | 6.57873 | − | 5.73595i | 0.321009 | − | 0.279885i | ||||
\(421\) | −28.7331 | −1.40036 | −0.700182 | − | 0.713964i | \(-0.746898\pi\) | ||||
−0.700182 | + | 0.713964i | \(0.746898\pi\) | |||||||
\(422\) | 15.3875 | − | 15.3875i | 0.749050 | − | 0.749050i | ||||
\(423\) | 0.609507 | − | 0.766055i | 0.0296352 | − | 0.0372469i | ||||
\(424\) | − | 0.399941i | − | 0.0194228i | ||||||
\(425\) | −2.91757 | + | 1.73075i | −0.141523 | + | 0.0839539i | ||||
\(426\) | 7.42119 | − | 8.31367i | 0.359558 | − | 0.402799i | ||||
\(427\) | −17.6931 | − | 17.6931i | −0.856232 | − | 0.856232i | ||||
\(428\) | 11.0754 | + | 11.0754i | 0.535348 | + | 0.535348i | ||||
\(429\) | 6.19505 | − | 6.94008i | 0.299100 | − | 0.335070i | ||||
\(430\) | 23.1267 | + | 2.90577i | 1.11527 | + | 0.140129i | ||||
\(431\) | − | 20.1008i | − | 0.968224i | −0.875006 | − | 0.484112i | \(-0.839143\pi\) | ||
0.875006 | − | 0.484112i | \(-0.160857\pi\) | |||||||
\(432\) | 0.878989 | + | 5.12127i | 0.0422904 | + | 0.246397i | ||||
\(433\) | 17.4620 | − | 17.4620i | 0.839169 | − | 0.839169i | −0.149581 | − | 0.988750i | \(-0.547792\pi\) |
0.988750 | + | 0.149581i | \(0.0477924\pi\) | |||||||
\(434\) | −2.25360 | −0.108176 | ||||||||
\(435\) | 5.03031 | + | 0.344263i | 0.241185 | + | 0.0165061i | ||||
\(436\) | −9.99461 | −0.478655 | ||||||||
\(437\) | −0.442398 | + | 0.442398i | −0.0211628 | + | 0.0211628i | ||||
\(438\) | 14.4677 | − | 0.820615i | 0.691295 | − | 0.0392105i | ||||
\(439\) | 36.4397i | 1.73917i | 0.493781 | + | 0.869587i | \(0.335615\pi\) | ||||
−0.493781 | + | 0.869587i | \(0.664385\pi\) | |||||||
\(440\) | −5.08041 | − | 6.54053i | −0.242199 | − | 0.311807i | ||||
\(441\) | 0.651757 | + | 5.72687i | 0.0310361 | + | 0.272708i | ||||
\(442\) | −0.695704 | − | 0.695704i | −0.0330912 | − | 0.0330912i | ||||
\(443\) | 5.18559 | + | 5.18559i | 0.246375 | + | 0.246375i | 0.819481 | − | 0.573106i | \(-0.194262\pi\) |
−0.573106 | + | 0.819481i | \(0.694262\pi\) | |||||||
\(444\) | −4.09506 | − | 3.65545i | −0.194343 | − | 0.173480i | ||||
\(445\) | 2.99949 | − | 23.8726i | 0.142189 | − | 1.13167i | ||||
\(446\) | − | 7.59645i | − | 0.359702i | ||||||
\(447\) | 1.09483 | + | 19.3022i | 0.0517835 | + | 0.912961i | ||||
\(448\) | 1.59354 | − | 1.59354i | 0.0752875 | − | 0.0752875i | ||||
\(449\) | 38.7024 | 1.82648 | 0.913240 | − | 0.407423i | \(-0.133573\pi\) | ||||
0.913240 | + | 0.407423i | \(0.133573\pi\) | |||||||
\(450\) | −11.9527 | + | 9.06269i | −0.563457 | + | 0.427219i | ||||
\(451\) | 18.5881 | 0.875279 | ||||||||
\(452\) | −3.56657 | + | 3.56657i | −0.167757 | + | 0.167757i | ||||
\(453\) | −0.209340 | − | 3.69073i | −0.00983563 | − | 0.173406i | ||||
\(454\) | − | 17.7196i | − | 0.831620i | ||||||
\(455\) | −0.911009 | + | 7.25062i | −0.0427088 | + | 0.339914i | ||||
\(456\) | 0.382497 | + | 0.341436i | 0.0179121 | + | 0.0159892i | ||||
\(457\) | −3.48182 | − | 3.48182i | −0.162873 | − | 0.162873i | 0.620965 | − | 0.783838i | \(-0.286741\pi\) |
−0.783838 | + | 0.620965i | \(0.786741\pi\) | |||||||
\(458\) | −5.43670 | − | 5.43670i | −0.254040 | − | 0.254040i | ||||
\(459\) | −2.87859 | − | 2.03521i | −0.134361 | − | 0.0949955i | ||||
\(460\) | −2.89911 | − | 3.73232i | −0.135172 | − | 0.174020i | ||||
\(461\) | − | 13.8727i | − | 0.646117i | −0.946379 | − | 0.323059i | \(-0.895289\pi\) | ||
0.946379 | − | 0.323059i | \(-0.104711\pi\) | |||||||
\(462\) | −14.4339 | + | 0.818694i | −0.671524 | + | 0.0380891i | ||||
\(463\) | −2.51704 | + | 2.51704i | −0.116977 | + | 0.116977i | −0.763172 | − | 0.646195i | \(-0.776359\pi\) |
0.646195 | + | 0.763172i | \(0.276359\pi\) | |||||||
\(464\) | 1.30186 | 0.0604373 | ||||||||
\(465\) | 3.86395 | + | 0.264439i | 0.179186 | + | 0.0122631i | ||||
\(466\) | −9.07616 | −0.420445 | ||||||||
\(467\) | −30.0390 | + | 30.0390i | −1.39004 | + | 1.39004i | −0.564836 | + | 0.825204i | \(0.691060\pi\) |
−0.825204 | + | 0.564836i | \(0.808940\pi\) | |||||||
\(468\) | −3.40436 | − | 2.70866i | −0.157367 | − | 0.125208i | ||||
\(469\) | 30.0299i | 1.38665i | ||||||||
\(470\) | 0.723972 | + | 0.0909641i | 0.0333944 | + | 0.00419586i | ||||
\(471\) | 12.8457 | − | 14.3905i | 0.591897 | − | 0.663079i | ||||
\(472\) | 8.70740 | + | 8.70740i | 0.400791 | + | 0.400791i | ||||
\(473\) | −27.2996 | − | 27.2996i | −1.25524 | − | 1.25524i | ||||
\(474\) | −4.11281 | + | 4.60743i | −0.188908 | + | 0.211626i | ||||
\(475\) | −0.366155 | + | 1.43409i | −0.0168004 | + | 0.0658006i | ||||
\(476\) | 1.52898i | 0.0700808i | ||||||||
\(477\) | 0.938896 | + | 0.747026i | 0.0429891 | + | 0.0342040i | ||||
\(478\) | 16.3754 | − | 16.3754i | 0.748994 | − | 0.748994i | ||||
\(479\) | −24.4251 | −1.11601 | −0.558005 | − | 0.829837i | \(-0.688433\pi\) | ||||
−0.558005 | + | 0.829837i | \(0.688433\pi\) | |||||||
\(480\) | −2.91921 | + | 2.54523i | −0.133243 | + | 0.116174i | ||||
\(481\) | 4.59586 | 0.209553 | ||||||||
\(482\) | 17.4457 | − | 17.4457i | 0.794628 | − | 0.794628i | ||||
\(483\) | −8.23660 | + | 0.467183i | −0.374778 | + | 0.0212576i | ||||
\(484\) | 2.71780i | 0.123537i | ||||||||
\(485\) | −12.6542 | + | 9.82929i | −0.574600 | + | 0.446325i | ||||
\(486\) | −13.6644 | − | 7.50222i | −0.619831 | − | 0.340307i | ||||
\(487\) | 16.3280 | + | 16.3280i | 0.739891 | + | 0.739891i | 0.972557 | − | 0.232666i | \(-0.0747448\pi\) |
−0.232666 | + | 0.972557i | \(0.574745\pi\) | |||||||
\(488\) | 7.85106 | + | 7.85106i | 0.355401 | + | 0.355401i | ||||
\(489\) | 4.15426 | + | 3.70829i | 0.187862 | + | 0.167695i | ||||
\(490\) | −3.39282 | + | 2.63540i | −0.153272 | + | 0.119055i | ||||
\(491\) | − | 12.7037i | − | 0.573309i | −0.958034 | − | 0.286655i | \(-0.907457\pi\) | ||
0.958034 | − | 0.286655i | \(-0.0925432\pi\) | |||||||
\(492\) | −0.492260 | − | 8.67872i | −0.0221928 | − | 0.391267i | ||||
\(493\) | −0.624560 | + | 0.624560i | −0.0281288 | + | 0.0281288i | ||||
\(494\) | −0.429274 | −0.0193139 | ||||||||
\(495\) | 24.8439 | + | 0.289978i | 1.11665 | + | 0.0130336i | ||||
\(496\) | 1.00000 | 0.0449013 | ||||||||
\(497\) | 10.2529 | − | 10.2529i | 0.459906 | − | 0.459906i | ||||
\(498\) | 0.271144 | + | 4.78037i | 0.0121503 | + | 0.214214i | ||||
\(499\) | 10.7503i | 0.481248i | 0.970618 | + | 0.240624i | \(0.0773521\pi\) | ||||
−0.970618 | + | 0.240624i | \(0.922648\pi\) | |||||||
\(500\) | −10.4035 | − | 4.09476i | −0.465259 | − | 0.183123i | ||||
\(501\) | −16.0212 | − | 14.3013i | −0.715775 | − | 0.638935i | ||||
\(502\) | −13.2214 | − | 13.2214i | −0.590100 | − | 0.590100i | ||||
\(503\) | −19.9599 | − | 19.9599i | −0.889968 | − | 0.889968i | 0.104551 | − | 0.994520i | \(-0.466659\pi\) |
−0.994520 | + | 0.104551i | \(0.966659\pi\) | |||||||
\(504\) | 0.764491 | + | 6.71744i | 0.0340531 | + | 0.299219i | ||||
\(505\) | −4.91042 | − | 0.616974i | −0.218511 | − | 0.0274550i | ||||
\(506\) | 7.82799i | 0.347997i | ||||||||
\(507\) | −18.8440 | + | 1.06884i | −0.836890 | + | 0.0474687i | ||||
\(508\) | −6.47722 | + | 6.47722i | −0.287380 | + | 0.287380i | ||||
\(509\) | −13.5548 | −0.600804 | −0.300402 | − | 0.953813i | \(-0.597121\pi\) | ||||
−0.300402 | + | 0.953813i | \(0.597121\pi\) | |||||||
\(510\) | 0.179412 | − | 2.62154i | 0.00794449 | − | 0.116084i | ||||
\(511\) | 18.8545 | 0.834073 | ||||||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −1.51599 | + | 0.260198i | −0.0669328 | + | 0.0114880i | ||||
\(514\) | 10.3186i | 0.455133i | ||||||||
\(515\) | −8.82478 | − | 11.3610i | −0.388866 | − | 0.500627i | ||||
\(516\) | −12.0231 | + | 13.4691i | −0.529289 | + | 0.592943i | ||||
\(517\) | −0.854605 | − | 0.854605i | −0.0375855 | − | 0.0375855i | ||||
\(518\) | −5.05027 | − | 5.05027i | −0.221896 | − | 0.221896i | ||||
\(519\) | −10.5401 | + | 11.8077i | −0.462659 | + | 0.518299i | ||||
\(520\) | 0.404246 | − | 3.21735i | 0.0177274 | − | 0.141090i | ||||
\(521\) | − | 25.4930i | − | 1.11687i | −0.829548 | − | 0.558435i | \(-0.811402\pi\) | ||
0.829548 | − | 0.558435i | \(-0.188598\pi\) | |||||||
\(522\) | −2.43167 | + | 3.05623i | −0.106431 | + | 0.133767i | ||||
\(523\) | −11.2546 | + | 11.2546i | −0.492128 | + | 0.492128i | −0.908976 | − | 0.416848i | \(-0.863135\pi\) |
0.416848 | + | 0.908976i | \(0.363135\pi\) | |||||||
\(524\) | 16.5912 | 0.724790 | ||||||||
\(525\) | −16.1947 | + | 10.8920i | −0.706794 | + | 0.475366i | ||||
\(526\) | −16.0765 | −0.700968 | ||||||||
\(527\) | −0.479745 | + | 0.479745i | −0.0208980 | + | 0.0208980i | ||||
\(528\) | 6.40480 | − | 0.363282i | 0.278733 | − | 0.0158098i | ||||
\(529\) | − | 18.5330i | − | 0.805783i | ||||||
\(530\) | −0.111488 | + | 0.887318i | −0.00484272 | + | 0.0385426i | ||||
\(531\) | −36.7054 | + | 4.17733i | −1.59288 | + | 0.181281i | ||||
\(532\) | 0.471718 | + | 0.471718i | 0.0204516 | + | 0.0204516i | ||||
\(533\) | 5.14626 | + | 5.14626i | 0.222909 | + | 0.222909i | ||||
\(534\) | 13.9035 | + | 12.4109i | 0.601662 | + | 0.537073i | ||||
\(535\) | −21.4847 | − | 27.6595i | −0.928865 | − | 1.19582i | ||||
\(536\) | − | 13.3253i | − | 0.575565i | ||||||
\(537\) | −1.83011 | − | 32.2654i | −0.0789749 | − | 1.39236i | ||||
\(538\) | 4.04386 | − | 4.04386i | 0.174343 | − | 0.174343i | ||||
\(539\) | 7.11595 | 0.306506 | ||||||||
\(540\) | −0.522539 | − | 11.6072i | −0.0224865 | − | 0.499494i | ||||
\(541\) | 33.4322 | 1.43736 | 0.718681 | − | 0.695340i | \(-0.244746\pi\) | ||||
0.718681 | + | 0.695340i | \(0.244746\pi\) | |||||||
\(542\) | 10.3520 | − | 10.3520i | 0.444656 | − | 0.444656i | ||||
\(543\) | 2.01291 | + | 35.4883i | 0.0863821 | + | 1.52295i | ||||
\(544\) | − | 0.678461i | − | 0.0290888i | ||||||
\(545\) | 22.1743 | + | 2.78610i | 0.949842 | + | 0.119344i | ||||
\(546\) | −4.22279 | − | 3.76947i | −0.180719 | − | 0.161318i | ||||
\(547\) | 10.5375 | + | 10.5375i | 0.450553 | + | 0.450553i | 0.895538 | − | 0.444985i | \(-0.146791\pi\) |
−0.444985 | + | 0.895538i | \(0.646791\pi\) | |||||||
\(548\) | 11.5131 | + | 11.5131i | 0.491813 | + | 0.491813i | ||||
\(549\) | −33.0956 | + | 3.76650i | −1.41248 | + | 0.160750i | ||||
\(550\) | 9.44827 | + | 15.9272i | 0.402876 | + | 0.679138i | ||||
\(551\) | 0.385376i | 0.0164176i | ||||||||
\(552\) | 3.65486 | − | 0.207305i | 0.155561 | − | 0.00882349i | ||||
\(553\) | −5.68215 | + | 5.68215i | −0.241630 | + | 0.241630i | ||||
\(554\) | 0.721760 | 0.0306647 | ||||||||
\(555\) | 8.06641 | + | 9.25162i | 0.342400 | + | 0.392709i | ||||
\(556\) | −1.69987 | −0.0720907 | ||||||||
\(557\) | 0.950084 | − | 0.950084i | 0.0402563 | − | 0.0402563i | −0.686692 | − | 0.726948i | \(-0.740938\pi\) |
0.726948 | + | 0.686692i | \(0.240938\pi\) | |||||||
\(558\) | −1.86784 | + | 2.34759i | −0.0790721 | + | 0.0993813i | ||||
\(559\) | − | 15.1162i | − | 0.639348i | ||||||
\(560\) | −3.97967 | + | 3.09124i | −0.168172 | + | 0.130629i | ||||
\(561\) | −2.89838 | + | 3.24695i | −0.122370 | + | 0.137086i | ||||
\(562\) | −20.7676 | − | 20.7676i | −0.876028 | − | 0.876028i | ||||
\(563\) | −1.08303 | − | 1.08303i | −0.0456442 | − | 0.0456442i | 0.683916 | − | 0.729560i | \(-0.260275\pi\) |
−0.729560 | + | 0.683916i | \(0.760275\pi\) | |||||||
\(564\) | −0.376380 | + | 0.421645i | −0.0158485 | + | 0.0177544i | ||||
\(565\) | 8.90710 | − | 6.91866i | 0.374725 | − | 0.291070i | ||||
\(566\) | − | 2.50981i | − | 0.105495i | ||||||
\(567\) | −17.1977 | − | 10.7524i | −0.722237 | − | 0.451559i | ||||
\(568\) | −4.54956 | + | 4.54956i | −0.190895 | + | 0.190895i | ||||
\(569\) | 22.3470 | 0.936835 | 0.468418 | − | 0.883507i | \(-0.344824\pi\) | ||||
0.468418 | + | 0.883507i | \(0.344824\pi\) | |||||||
\(570\) | −0.753439 | − | 0.864142i | −0.0315581 | − | 0.0361949i | ||||
\(571\) | −3.60507 | −0.150867 | −0.0754337 | − | 0.997151i | \(-0.524034\pi\) | ||||
−0.0754337 | + | 0.997151i | \(0.524034\pi\) | |||||||
\(572\) | −3.79788 | + | 3.79788i | −0.158797 | + | 0.158797i | ||||
\(573\) | −39.0606 | + | 2.21553i | −1.63178 | + | 0.0925552i | ||||
\(574\) | − | 11.3102i | − | 0.472078i | ||||||
\(575\) | 5.39160 | + | 9.08876i | 0.224845 | + | 0.379028i | ||||
\(576\) | −0.339231 | − | 2.98076i | −0.0141346 | − | 0.124198i | ||||
\(577\) | −23.8009 | − | 23.8009i | −0.990846 | − | 0.990846i | 0.00911207 | − | 0.999958i | \(-0.497099\pi\) |
−0.999958 | + | 0.00911207i | \(0.997099\pi\) | |||||||
\(578\) | −11.6953 | − | 11.6953i | −0.486461 | − | 0.486461i | ||||
\(579\) | 13.2401 | + | 11.8187i | 0.550239 | + | 0.491170i | ||||
\(580\) | −2.88834 | − | 0.362907i | −0.119932 | − | 0.0150689i | ||||
\(581\) | 6.22983i | 0.258457i | ||||||||
\(582\) | −0.702859 | − | 12.3916i | −0.0291344 | − | 0.513650i | ||||
\(583\) | 1.04743 | − | 1.04743i | 0.0433799 | − | 0.0433799i | ||||
\(584\) | −8.36638 | −0.346203 | ||||||||
\(585\) | 6.79793 | + | 6.95850i | 0.281060 | + | 0.287698i | ||||
\(586\) | −20.1952 | −0.834255 | ||||||||
\(587\) | −7.26273 | + | 7.26273i | −0.299765 | + | 0.299765i | −0.840922 | − | 0.541157i | \(-0.817987\pi\) |
0.541157 | + | 0.840922i | \(0.317987\pi\) | |||||||
\(588\) | −0.188449 | − | 3.32241i | −0.00777149 | − | 0.137014i | ||||
\(589\) | 0.296019i | 0.0121973i | ||||||||
\(590\) | −16.8912 | − | 21.7457i | −0.695399 | − | 0.895258i | ||||
\(591\) | −5.91727 | − | 5.28204i | −0.243404 | − | 0.217274i | ||||
\(592\) | 2.24098 | + | 2.24098i | 0.0921036 | + | 0.0921036i | ||||
\(593\) | −17.6248 | − | 17.6248i | −0.723763 | − | 0.723763i | 0.245606 | − | 0.969370i | \(-0.421013\pi\) |
−0.969370 | + | 0.245606i | \(0.921013\pi\) | |||||||
\(594\) | −11.1103 | + | 15.7144i | −0.455862 | + | 0.644769i | ||||
\(595\) | 0.426220 | − | 3.39224i | 0.0174733 | − | 0.139068i | ||||
\(596\) | − | 11.1620i | − | 0.457214i | ||||||
\(597\) | −29.8573 | + | 1.69352i | −1.22198 | + | 0.0693111i | ||||
\(598\) | −2.16724 | + | 2.16724i | −0.0886250 | + | 0.0886250i | ||||
\(599\) | 34.3921 | 1.40522 | 0.702612 | − | 0.711573i | \(-0.252017\pi\) | ||||
0.702612 | + | 0.711573i | \(0.252017\pi\) | |||||||
\(600\) | 7.18614 | − | 4.83316i | 0.293373 | − | 0.197313i | ||||
\(601\) | −31.0073 | −1.26482 | −0.632408 | − | 0.774636i | \(-0.717933\pi\) | ||||
−0.632408 | + | 0.774636i | \(0.717933\pi\) | |||||||
\(602\) | −16.6108 | + | 16.6108i | −0.677007 | + | 0.677007i | ||||
\(603\) | 31.2823 | + | 24.8895i | 1.27391 | + | 1.01358i | ||||
\(604\) | 2.13427i | 0.0868422i | ||||||||
\(605\) | 0.757617 | − | 6.02978i | 0.0308015 | − | 0.245146i | ||||
\(606\) | 2.55284 | − | 2.85985i | 0.103702 | − | 0.116174i | ||||
\(607\) | 0.212009 | + | 0.212009i | 0.00860518 | + | 0.00860518i | 0.711396 | − | 0.702791i | \(-0.248063\pi\) |
−0.702791 | + | 0.711396i | \(0.748063\pi\) | |||||||
\(608\) | −0.209317 | − | 0.209317i | −0.00848894 | − | 0.00848894i | ||||
\(609\) | −3.38400 | + | 3.79096i | −0.137126 | + | 0.153617i | ||||
\(610\) | −15.2300 | − | 19.6071i | −0.616644 | − | 0.793868i | ||||
\(611\) | − | 0.473208i | − | 0.0191440i | ||||||
\(612\) | 1.59275 | + | 1.26726i | 0.0643830 | + | 0.0512259i | ||||
\(613\) | 23.9172 | − | 23.9172i | 0.966008 | − | 0.966008i | −0.0334327 | − | 0.999441i | \(-0.510644\pi\) |
0.999441 | + | 0.0334327i | \(0.0106439\pi\) | |||||||
\(614\) | −0.817129 | −0.0329767 | ||||||||
\(615\) | −1.32715 | + | 19.3920i | −0.0535157 | + | 0.781963i | ||||
\(616\) | 8.34679 | 0.336302 | ||||||||
\(617\) | −7.85266 | + | 7.85266i | −0.316136 | + | 0.316136i | −0.847281 | − | 0.531145i | \(-0.821762\pi\) |
0.531145 | + | 0.847281i | \(0.321762\pi\) | |||||||
\(618\) | 11.1253 | − | 0.631029i | 0.447524 | − | 0.0253837i | ||||
\(619\) | − | 7.62713i | − | 0.306560i | −0.988183 | − | 0.153280i | \(-0.951016\pi\) | ||
0.988183 | − | 0.153280i | \(-0.0489837\pi\) | |||||||
\(620\) | −2.21862 | − | 0.278761i | −0.0891021 | − | 0.0111953i | ||||
\(621\) | −6.34004 | + | 8.96732i | −0.254417 | + | 0.359846i | ||||
\(622\) | 21.2096 | + | 21.2096i | 0.850429 | + | 0.850429i | ||||
\(623\) | 17.1466 | + | 17.1466i | 0.686963 | + | 0.686963i | ||||
\(624\) | 1.87380 | + | 1.67264i | 0.0750119 | + | 0.0669592i | ||||
\(625\) | 21.9400 | + | 11.9848i | 0.877600 | + | 0.479393i | ||||
\(626\) | − | 9.50183i | − | 0.379769i | ||||||
\(627\) | 0.107539 | + | 1.89594i | 0.00429468 | + | 0.0757167i | ||||
\(628\) | −7.87504 | + | 7.87504i | −0.314248 | + | 0.314248i | ||||
\(629\) | −2.15019 | −0.0857338 | ||||||||
\(630\) | 0.176441 | − | 15.1166i | 0.00702959 | − | 0.602259i | ||||
\(631\) | 44.1114 | 1.75605 | 0.878024 | − | 0.478616i | \(-0.158861\pi\) | ||||
0.878024 | + | 0.478616i | \(0.158861\pi\) | |||||||
\(632\) | 2.52136 | − | 2.52136i | 0.100294 | − | 0.100294i | ||||
\(633\) | −2.13444 | − | 37.6310i | −0.0848364 | − | 1.49570i | ||||
\(634\) | 24.9900i | 0.992478i | ||||||||
\(635\) | 16.1761 | − | 12.5649i | 0.641929 | − | 0.498623i | ||||
\(636\) | −0.516778 | − | 0.461301i | −0.0204916 | − | 0.0182918i | ||||
\(637\) | 1.97011 | + | 1.97011i | 0.0780585 | + | 0.0780585i | ||||
\(638\) | 3.40950 | + | 3.40950i | 0.134984 | + | 0.134984i | ||||
\(639\) | −2.18263 | − | 19.1784i | −0.0863435 | − | 0.758684i | ||||
\(640\) | 1.76592 | − | 1.37169i | 0.0698040 | − | 0.0542208i | ||||
\(641\) | 34.4732i | 1.36161i | 0.732464 | + | 0.680805i | \(0.238370\pi\) | ||||
−0.732464 | + | 0.680805i | \(0.761630\pi\) | |||||||
\(642\) | 27.0855 | − | 1.53630i | 1.06898 | − | 0.0606328i | ||||
\(643\) | 25.0469 | − | 25.0469i | 0.987752 | − | 0.987752i | −0.0121735 | − | 0.999926i | \(-0.503875\pi\) |
0.999926 | + | 0.0121735i | \(0.00387503\pi\) | |||||||
\(644\) | 4.76305 | 0.187690 | ||||||||
\(645\) | 30.4295 | − | 26.5312i | 1.19816 | − | 1.04467i | ||||
\(646\) | 0.200838 | 0.00790185 | ||||||||
\(647\) | 3.66605 | − | 3.66605i | 0.144127 | − | 0.144127i | −0.631361 | − | 0.775489i | \(-0.717504\pi\) |
0.775489 | + | 0.631361i | \(0.217504\pi\) | |||||||
\(648\) | 7.63122 | + | 4.77121i | 0.299783 | + | 0.187431i | ||||
\(649\) | 45.6085i | 1.79029i | ||||||||
\(650\) | −1.79374 | + | 7.02539i | −0.0703562 | + | 0.275559i | ||||
\(651\) | −2.59936 | + | 2.91196i | −0.101877 | + | 0.114129i | ||||
\(652\) | −2.27337 | − | 2.27337i | −0.0890320 | − | 0.0890320i | ||||
\(653\) | 32.0216 | + | 32.0216i | 1.25310 | + | 1.25310i | 0.954322 | + | 0.298780i | \(0.0965796\pi\) |
0.298780 | + | 0.954322i | \(0.403420\pi\) | |||||||
\(654\) | −11.5280 | + | 12.9144i | −0.450781 | + | 0.504993i | ||||
\(655\) | −36.8096 | − | 4.62497i | −1.43827 | − | 0.180713i | ||||
\(656\) | 5.01872i | 0.195948i | ||||||||
\(657\) | 15.6271 | − | 19.6408i | 0.609670 | − | 0.766261i | ||||
\(658\) | −0.519996 | + | 0.519996i | −0.0202716 | + | 0.0202716i | ||||
\(659\) | −6.39570 | −0.249141 | −0.124571 | − | 0.992211i | \(-0.539755\pi\) | ||||
−0.124571 | + | 0.992211i | \(0.539755\pi\) | |||||||
\(660\) | −14.3111 | − | 0.979419i | −0.557059 | − | 0.0381238i | ||||
\(661\) | −22.1241 | −0.860528 | −0.430264 | − | 0.902703i | \(-0.641579\pi\) | ||||
−0.430264 | + | 0.902703i | \(0.641579\pi\) | |||||||
\(662\) | −10.9447 | + | 10.9447i | −0.425377 | + | 0.425377i | ||||
\(663\) | −1.70138 | + | 0.0965031i | −0.0660763 | + | 0.00374787i | ||||
\(664\) | − | 2.76439i | − | 0.107279i | ||||||
\(665\) | −0.915068 | − | 1.17806i | −0.0354848 | − | 0.0456832i | ||||
\(666\) | −9.44668 | + | 1.07510i | −0.366052 | + | 0.0416592i | ||||
\(667\) | 1.94562 | + | 1.94562i | 0.0753345 | + | 0.0753345i | ||||
\(668\) | 8.76742 | + | 8.76742i | 0.339222 | + | 0.339222i | ||||
\(669\) | −9.81565 | − | 8.76192i | −0.379495 | − | 0.338755i | ||||
\(670\) | −3.71457 | + | 29.5638i | −0.143506 | + | 1.14215i | ||||
\(671\) | 41.1230i | 1.58754i | ||||||||
\(672\) | −0.221044 | − | 3.89709i | −0.00852697 | − | 0.150333i | ||||
\(673\) | 27.8518 | − | 27.8518i | 1.07361 | − | 1.07361i | 0.0765405 | − | 0.997066i | \(-0.475613\pi\) |
0.997066 | − | 0.0765405i | \(-0.0243874\pi\) | |||||||
\(674\) | 25.6850 | 0.989349 | ||||||||
\(675\) | −2.07631 | + | 25.8977i | −0.0799173 | + | 0.996801i | ||||
\(676\) | 10.8971 | 0.419117 | ||||||||
\(677\) | 0.671792 | − | 0.671792i | 0.0258191 | − | 0.0258191i | −0.694079 | − | 0.719898i | \(-0.744188\pi\) |
0.719898 | + | 0.694079i | \(0.244188\pi\) | |||||||
\(678\) | 0.494730 | + | 8.72226i | 0.0190000 | + | 0.334976i | ||||
\(679\) | − | 16.1489i | − | 0.619738i | ||||||
\(680\) | −0.189128 | + | 1.50525i | −0.00725274 | + | 0.0577237i | ||||
\(681\) | −22.8961 | − | 20.4382i | −0.877380 | − | 0.783192i | ||||
\(682\) | 2.61895 | + | 2.61895i | 0.100285 | + | 0.100285i | ||||
\(683\) | 5.91720 | + | 5.91720i | 0.226415 | + | 0.226415i | 0.811193 | − | 0.584778i | \(-0.198818\pi\) |
−0.584778 | + | 0.811193i | \(0.698818\pi\) | |||||||
\(684\) | 0.882362 | − | 0.100419i | 0.0337380 | − | 0.00383961i | ||||
\(685\) | −22.3337 | − | 28.7525i | −0.853329 | − | 1.09858i | ||||
\(686\) | − | 20.1050i | − | 0.767613i | ||||||
\(687\) | −13.2958 | + | 0.754141i | −0.507265 | + | 0.0287723i | ||||
\(688\) | 7.37080 | − | 7.37080i | 0.281009 | − | 0.281009i | ||||
\(689\) | 0.579976 | 0.0220953 | ||||||||
\(690\) | −8.16655 | − | 0.558900i | −0.310895 | − | 0.0212770i | ||||
\(691\) | 43.7242 | 1.66335 | 0.831673 | − | 0.555266i | \(-0.187383\pi\) | ||||
0.831673 | + | 0.555266i | \(0.187383\pi\) | |||||||
\(692\) | 6.46161 | − | 6.46161i | 0.245634 | − | 0.245634i | ||||
\(693\) | −15.5905 | + | 19.5948i | −0.592234 | + | 0.744345i | ||||
\(694\) | 18.2626i | 0.693239i | ||||||||
\(695\) | 3.77138 | + | 0.473858i | 0.143057 | + | 0.0179745i | ||||
\(696\) | 1.50159 | − | 1.68218i | 0.0569178 | − | 0.0637628i | ||||
\(697\) | −2.40770 | − | 2.40770i | −0.0911982 | − | 0.0911982i | ||||
\(698\) | 21.6871 | + | 21.6871i | 0.820867 | + | 0.820867i | ||||
\(699\) | −10.4687 | + | 11.7276i | −0.395961 | + | 0.443580i | ||||
\(700\) | 9.69112 | − | 5.74893i | 0.366290 | − | 0.217289i | ||||
\(701\) | − | 14.1168i | − | 0.533184i | −0.963809 | − | 0.266592i | \(-0.914102\pi\) | ||
0.963809 | − | 0.266592i | \(-0.0858977\pi\) | |||||||
\(702\) | −7.42663 | + | 1.27467i | −0.280300 | + | 0.0481093i | ||||
\(703\) | −0.663373 | + | 0.663373i | −0.0250196 | + | 0.0250196i | ||||
\(704\) | −3.70376 | −0.139591 | ||||||||
\(705\) | 0.952584 | − | 0.830551i | 0.0358764 | − | 0.0312803i | ||||
\(706\) | 16.4442 | 0.618886 | ||||||||
\(707\) | 3.52693 | − | 3.52693i | 0.132644 | − | 0.132644i | ||||
\(708\) | 21.2945 | − | 1.20783i | 0.800295 | − | 0.0453930i | ||||
\(709\) | 25.3893i | 0.953514i | 0.879035 | + | 0.476757i | \(0.158188\pi\) | ||||
−0.879035 | + | 0.476757i | \(0.841812\pi\) | |||||||
\(710\) | 11.3620 | − | 8.82553i | 0.426409 | − | 0.331216i | ||||
\(711\) | 1.20961 | + | 10.6286i | 0.0453639 | + | 0.398605i | ||||
\(712\) | −7.60852 | − | 7.60852i | −0.285141 | − | 0.285141i | ||||
\(713\) | 1.49449 | + | 1.49449i | 0.0559691 | + | 0.0559691i | ||||
\(714\) | 1.97565 | + | 1.76356i | 0.0739369 | + | 0.0659997i | ||||
\(715\) | 9.48477 | − | 7.36737i | 0.354710 | − | 0.275524i | ||||
\(716\) | 18.6584i | 0.697297i | ||||||||
\(717\) | −2.27148 | − | 40.0470i | −0.0848300 | − | 1.49558i | ||||
\(718\) | −10.1019 | + | 10.1019i | −0.376999 | + | 0.376999i | ||||
\(719\) | 43.5310 | 1.62343 | 0.811716 | − | 0.584052i | \(-0.198534\pi\) | ||||
0.811716 | + | 0.584052i | \(0.198534\pi\) | |||||||
\(720\) | −0.0782930 | + | 6.70775i | −0.00291781 | + | 0.249983i | ||||
\(721\) | 14.4986 | 0.539954 | ||||||||
\(722\) | −13.3731 | + | 13.3731i | −0.497694 | + | 0.497694i | ||||
\(723\) | −2.41994 | − | 42.6644i | −0.0899985 | − | 1.58671i | ||||
\(724\) | − | 20.5221i | − | 0.762697i | ||||||
\(725\) | 6.30697 | + | 1.61031i | 0.234235 | + | 0.0598054i | ||||
\(726\) | 3.51177 | + | 3.13478i | 0.130334 | + | 0.116343i | ||||
\(727\) | 28.7629 | + | 28.7629i | 1.06676 | + | 1.06676i | 0.997606 | + | 0.0691526i | \(0.0220295\pi\) |
0.0691526 | + | 0.997606i | \(0.477970\pi\) | |||||||
\(728\) | 2.31087 | + | 2.31087i | 0.0856467 | + | 0.0856467i | ||||
\(729\) | −25.4548 | + | 9.00308i | −0.942769 | + | 0.333447i | ||||
\(730\) | 18.5619 | + | 2.33222i | 0.687005 | + | 0.0863193i | ||||
\(731\) | 7.07220i | 0.261575i | ||||||||
\(732\) | 19.2002 | − | 1.08904i | 0.709660 | − | 0.0402522i | ||||
\(733\) | 5.04195 | − | 5.04195i | 0.186229 | − | 0.186229i | −0.607835 | − | 0.794063i | \(-0.707962\pi\) |
0.794063 | + | 0.607835i | \(0.207962\pi\) | |||||||
\(734\) | −7.04297 | −0.259961 | ||||||||
\(735\) | −0.508062 | + | 7.42372i | −0.0187402 | + | 0.273828i | ||||
\(736\) | −2.11353 | −0.0779057 | ||||||||
\(737\) | 34.8983 | − | 34.8983i | 1.28549 | − | 1.28549i | ||||
\(738\) | −11.7819 | − | 9.37417i | −0.433697 | − | 0.345068i | ||||
\(739\) | 42.4476i | 1.56146i | 0.624869 | + | 0.780730i | \(0.285152\pi\) | ||||
−0.624869 | + | 0.780730i | \(0.714848\pi\) | |||||||
\(740\) | −4.34719 | − | 5.59658i | −0.159806 | − | 0.205734i | ||||
\(741\) | −0.495134 | + | 0.554680i | −0.0181892 | + | 0.0203767i | ||||
\(742\) | −0.637320 | − | 0.637320i | −0.0233968 | − | 0.0233968i | ||||
\(743\) | 2.91864 | + | 2.91864i | 0.107074 | + | 0.107074i | 0.758614 | − | 0.651540i | \(-0.225877\pi\) |
−0.651540 | + | 0.758614i | \(0.725877\pi\) | |||||||
\(744\) | 1.15342 | − | 1.29214i | 0.0422865 | − | 0.0473720i | ||||
\(745\) | −3.11153 | + | 24.7643i | −0.113998 | + | 0.907295i | ||||
\(746\) | 23.0594i | 0.844264i | ||||||||
\(747\) | 6.48964 | + | 5.16344i | 0.237443 | + | 0.188920i | ||||
\(748\) | 1.77686 | − | 1.77686i | 0.0649683 | − | 0.0649683i | ||||
\(749\) | 35.2980 | 1.28976 | ||||||||
\(750\) | −17.2906 | + | 8.71975i | −0.631365 | + | 0.318400i | ||||
\(751\) | 47.4716 | 1.73226 | 0.866132 | − | 0.499815i | \(-0.166599\pi\) | ||||
0.866132 | + | 0.499815i | \(0.166599\pi\) | |||||||
\(752\) | 0.230740 | − | 0.230740i | 0.00841423 | − | 0.00841423i | ||||
\(753\) | −32.3337 | + | 1.83398i | −1.17831 | + | 0.0668339i | ||||
\(754\) | 1.88790i | 0.0687531i | ||||||||
\(755\) | 0.594950 | − | 4.73514i | 0.0216525 | − | 0.172329i | ||||
\(756\) | 9.56163 | + | 6.76023i | 0.347753 | + | 0.245867i | ||||
\(757\) | 27.8063 | + | 27.8063i | 1.01064 | + | 1.01064i | 0.999943 | + | 0.0106944i | \(0.00340420\pi\) |
0.0106944 | + | 0.999943i | \(0.496596\pi\) | |||||||
\(758\) | 12.4138 | + | 12.4138i | 0.450890 | + | 0.450890i | ||||
\(759\) | 10.1148 | + | 9.02898i | 0.367145 | + | 0.327731i | ||||
\(760\) | 0.406047 | + | 0.522746i | 0.0147289 | + | 0.0189620i | ||||
\(761\) | 1.65428i | 0.0599675i | 0.999550 | + | 0.0299838i | \(0.00954556\pi\) | ||||
−0.999550 | + | 0.0299838i | \(0.990454\pi\) | |||||||
\(762\) | 0.898474 | + | 15.8404i | 0.0325483 | + | 0.573838i | ||||
\(763\) | −15.9268 | + | 15.9268i | −0.576588 | + | 0.576588i | ||||
\(764\) | 22.5879 | 0.817202 | ||||||||
\(765\) | −3.18045 | − | 3.25557i | −0.114989 | − | 0.117705i | ||||
\(766\) | −9.61290 | −0.347328 | ||||||||
\(767\) | −12.6271 | + | 12.6271i | −0.455937 | + | 0.455937i | ||||
\(768\) | 0.0980849 | + | 1.72927i | 0.00353933 | + | 0.0623997i | ||||
\(769\) | − | 37.6670i | − | 1.35831i | −0.733997 | − | 0.679153i | \(-0.762347\pi\) | ||
0.733997 | − | 0.679153i | \(-0.237653\pi\) | |||||||
\(770\) | −18.5184 | − | 2.32676i | −0.667356 | − | 0.0838505i | ||||
\(771\) | 13.3330 | + | 11.9017i | 0.480177 | + | 0.428629i | ||||
\(772\) | −7.24548 | − | 7.24548i | −0.260771 | − | 0.260771i | ||||
\(773\) | −3.59275 | − | 3.59275i | −0.129222 | − | 0.129222i | 0.639538 | − | 0.768760i | \(-0.279126\pi\) |
−0.768760 | + | 0.639538i | \(0.779126\pi\) | |||||||
\(774\) | 3.53610 | + | 31.0711i | 0.127102 | + | 1.11683i | ||||
\(775\) | 4.84458 | + | 1.23693i | 0.174023 | + | 0.0444318i | ||||
\(776\) | 7.16582i | 0.257238i | ||||||||
\(777\) | −12.3507 | + | 0.700538i | −0.443080 | + | 0.0251317i | ||||
\(778\) | 6.72702 | − | 6.72702i | 0.241175 | − | 0.241175i | ||||
\(779\) | −1.48564 | −0.0532285 | ||||||||
\(780\) | −3.69098 | − | 4.23330i | −0.132158 | − | 0.151577i | ||||
\(781\) | −23.8302 | −0.852710 | ||||||||
\(782\) | 1.01395 | − | 1.01395i | 0.0362589 | − | 0.0362589i | ||||
\(783\) | 1.14432 | + | 6.66717i | 0.0408947 | + | 0.238265i | ||||
\(784\) | 1.92128i | 0.0686172i | ||||||||
\(785\) | 19.6670 | − | 15.2765i | 0.701946 | − | 0.545242i | ||||
\(786\) | 19.1367 | − | 21.4381i | 0.682582 | − | 0.764671i | ||||
\(787\) | −12.4252 | − | 12.4252i | −0.442911 | − | 0.442911i | 0.450078 | − | 0.892989i | \(-0.351396\pi\) |
−0.892989 | + | 0.450078i | \(0.851396\pi\) | |||||||
\(788\) | 3.23816 | + | 3.23816i | 0.115355 | + | 0.115355i | ||||
\(789\) | −18.5430 | + | 20.7730i | −0.660148 | + | 0.739539i | ||||
\(790\) | −6.29682 | + | 4.89110i | −0.224031 | + | 0.174018i | ||||
\(791\) | 11.3669i | 0.404161i | ||||||||
\(792\) | 6.91803 | − | 8.69489i | 0.245822 | − | 0.308959i | ||||
\(793\) | −11.3852 | + | 11.3852i | −0.404302 | + | 0.404302i | ||||
\(794\) | −15.3815 | −0.545869 | ||||||||
\(795\) | 1.01794 | + | 1.16751i | 0.0361027 | + | 0.0414073i | ||||
\(796\) | 17.2659 | 0.611972 | ||||||||
\(797\) | −10.3655 | + | 10.3655i | −0.367165 | + | 0.367165i | −0.866442 | − | 0.499277i | \(-0.833599\pi\) |
0.499277 | + | 0.866442i | \(0.333599\pi\) | |||||||
\(798\) | 1.15361 | − | 0.0654334i | 0.0408375 | − | 0.00231632i | ||||
\(799\) | 0.221393i | 0.00783231i | ||||||||
\(800\) | −4.30028 | + | 2.55100i | −0.152038 | + | 0.0901914i | ||||
\(801\) | 32.0732 | − | 3.65015i | 1.13325 | − | 0.128972i | ||||
\(802\) | −5.66191 | − | 5.66191i | −0.199929 | − | 0.199929i | ||||
\(803\) | −21.9111 | − | 21.9111i | −0.773227 | − | 0.773227i | ||||
\(804\) | −17.2181 | − | 15.3697i | −0.607235 | − | 0.542047i | ||||
\(805\) | −10.5674 | − | 1.32775i | −0.372452 | − | 0.0467971i | ||||
\(806\) | 1.45015i | 0.0510795i | ||||||||
\(807\) | −0.560936 | − | 9.88950i | −0.0197459 | − | 0.348127i | ||||
\(808\) | −1.56502 | + | 1.56502i | −0.0550573 | + | 0.0550573i | ||||
\(809\) | −18.7297 | −0.658500 | −0.329250 | − | 0.944243i | \(-0.606796\pi\) | ||||
−0.329250 | + | 0.944243i | \(0.606796\pi\) | |||||||
\(810\) | −15.6008 | − | 12.7128i | −0.548156 | − | 0.446683i | ||||
\(811\) | −20.9677 | −0.736276 | −0.368138 | − | 0.929771i | \(-0.620005\pi\) | ||||
−0.368138 | + | 0.929771i | \(0.620005\pi\) | |||||||
\(812\) | 2.07456 | − | 2.07456i | 0.0728028 | − | 0.0728028i | ||||
\(813\) | −1.43595 | − | 25.3164i | −0.0503611 | − | 0.887884i | ||||
\(814\) | 11.7380i | 0.411417i | ||||||||
\(815\) | 4.41003 | + | 5.67748i | 0.154476 | + | 0.198873i | ||||
\(816\) | −0.876664 | − | 0.782553i | −0.0306894 | − | 0.0273948i | ||||
\(817\) | 2.18190 | + | 2.18190i | 0.0763350 | + | 0.0763350i | ||||
\(818\) | 3.12182 | + | 3.12182i | 0.109152 | + | 0.109152i | ||||
\(819\) | −9.74132 | + | 1.10863i | −0.340389 | + | 0.0387386i | ||||
\(820\) | 1.39902 | − | 11.1346i | 0.0488559 | − | 0.388839i | ||||
\(821\) | 47.8971i | 1.67162i | 0.549018 | + | 0.835811i | \(0.315002\pi\) | ||||
−0.549018 | + | 0.835811i | \(0.684998\pi\) | |||||||
\(822\) | 28.1558 | − | 1.59701i | 0.982048 | − | 0.0557021i | ||||
\(823\) | 7.06755 | − | 7.06755i | 0.246359 | − | 0.246359i | −0.573115 | − | 0.819475i | \(-0.694265\pi\) |
0.819475 | + | 0.573115i | \(0.194265\pi\) | |||||||
\(824\) | −6.43350 | −0.224122 | ||||||||
\(825\) | 31.4779 | + | 6.16234i | 1.09592 | + | 0.214545i | ||||
\(826\) | 27.7511 | 0.965585 | ||||||||
\(827\) | −31.7052 | + | 31.7052i | −1.10250 | + | 1.10250i | −0.108391 | + | 0.994108i | \(0.534570\pi\) |
−0.994108 | + | 0.108391i | \(0.965430\pi\) | |||||||
\(828\) | 3.94774 | − | 4.96169i | 0.137193 | − | 0.172431i | ||||
\(829\) | 56.5372i | 1.96362i | 0.189867 | + | 0.981810i | \(0.439194\pi\) | ||||
−0.189867 | + | 0.981810i | \(0.560806\pi\) | |||||||
\(830\) | −0.770602 | + | 6.13313i | −0.0267480 | + | 0.212884i | ||||
\(831\) | 0.832495 | − | 0.932612i | 0.0288789 | − | 0.0323520i | ||||
\(832\) | −1.02541 | − | 1.02541i | −0.0355498 | − | 0.0355498i | ||||
\(833\) | −0.921724 | − | 0.921724i | −0.0319358 | − | 0.0319358i | ||||
\(834\) | −1.96067 | + | 2.19647i | −0.0678926 | + | 0.0760575i | ||||
\(835\) | −17.0076 | − | 21.8956i | −0.588572 | − | 0.757730i | ||||
\(836\) | − | 1.09638i | − | 0.0379192i | ||||||
\(837\) | 0.878989 | + | 5.12127i | 0.0303823 | + | 0.177017i | ||||
\(838\) | 1.46414 | − | 1.46414i | 0.0505780 | − | 0.0505780i | ||||
\(839\) | −22.1729 | −0.765492 | −0.382746 | − | 0.923854i | \(-0.625022\pi\) | ||||
−0.382746 | + | 0.923854i | \(0.625022\pi\) | |||||||
\(840\) | −0.595941 | + | 8.70779i | −0.0205619 | + | 0.300447i | ||||
\(841\) | −27.3052 | −0.941557 | ||||||||
\(842\) | 20.3173 | − | 20.3173i | 0.700182 | − | 0.700182i | ||||
\(843\) | −50.7884 | + | 2.88074i | −1.74925 | + | 0.0992178i | ||||
\(844\) | 21.7612i | 0.749050i | ||||||||
\(845\) | −24.1765 | − | 3.03767i | −0.831696 | − | 0.104499i | ||||
\(846\) | 0.110696 | + | 0.972669i | 0.00380582 | + | 0.0334411i | ||||
\(847\) | 4.33092 | + | 4.33092i | 0.148812 | + | 0.148812i | ||||
\(848\) | 0.282801 | + | 0.282801i | 0.00971142 | + | 0.00971142i | ||||
\(849\) | −3.24302 | − | 2.89487i | −0.111300 | − | 0.0993518i | ||||
\(850\) | 0.839209 | − | 3.28686i | 0.0287846 | − | 0.112738i | ||||
\(851\) | 6.69824i | 0.229613i | ||||||||
\(852\) | 0.631083 | + | 11.1262i | 0.0216206 | + | 0.381178i | ||||
\(853\) | 10.9476 | − | 10.9476i | 0.374837 | − | 0.374837i | −0.494398 | − | 0.869235i | \(-0.664612\pi\) |
0.869235 | + | 0.494398i | \(0.164612\pi\) | |||||||
\(854\) | 25.0219 | 0.856232 | ||||||||
\(855\) | −1.98562 | − | 0.0231763i | −0.0679069 | − | 0.000792611i | ||||
\(856\) | −15.6629 | −0.535348 | ||||||||
\(857\) | −27.1672 | + | 27.1672i | −0.928013 | + | 0.928013i | −0.997577 | − | 0.0695640i | \(-0.977839\pi\) |
0.0695640 | + | 0.997577i | \(0.477839\pi\) | |||||||
\(858\) | 0.526815 | + | 9.28794i | 0.0179852 | + | 0.317085i | ||||
\(859\) | − | 27.0450i | − | 0.922764i | −0.887201 | − | 0.461382i | \(-0.847354\pi\) | ||
0.887201 | − | 0.461382i | \(-0.152646\pi\) | |||||||
\(860\) | −18.4077 | + | 14.2983i | −0.627698 | + | 0.487569i | ||||
\(861\) | −14.6143 | − | 13.0454i | −0.498054 | − | 0.444587i | ||||
\(862\) | 14.2134 | + | 14.2134i | 0.484112 | + | 0.484112i | ||||
\(863\) | −37.2201 | − | 37.2201i | −1.26699 | − | 1.26699i | −0.947636 | − | 0.319352i | \(-0.896535\pi\) |
−0.319352 | − | 0.947636i | \(-0.603465\pi\) | |||||||
\(864\) | −4.24282 | − | 2.99974i | −0.144344 | − | 0.102053i | ||||
\(865\) | −16.1371 | + | 12.5346i | −0.548679 | + | 0.426191i | ||||
\(866\) | 24.6950i | 0.839169i | ||||||||
\(867\) | −28.6016 | + | 1.62229i | −0.971362 | + | 0.0550960i | ||||
\(868\) | 1.59354 | − | 1.59354i | 0.0540882 | − | 0.0540882i | ||||
\(869\) | 13.2067 | 0.448005 | ||||||||
\(870\) | −3.80040 | + | 3.31354i | −0.128846 | + | 0.112339i | ||||
\(871\) | 19.3237 | 0.654759 | ||||||||
\(872\) | 7.06726 | − | 7.06726i | 0.239327 | − | 0.239327i | ||||
\(873\) | −16.8224 | − | 13.3846i | −0.569352 | − | 0.453001i | ||||
\(874\) | − | 0.625645i | − | 0.0211628i | ||||||
\(875\) | −23.1035 | + | 10.0532i | −0.781042 | + | 0.339861i | ||||
\(876\) | −9.64998 | + | 10.8105i | −0.326042 | + | 0.365253i | ||||
\(877\) | −9.25658 | − | 9.25658i | −0.312572 | − | 0.312572i | 0.533333 | − | 0.845905i | \(-0.320939\pi\) |
−0.845905 | + | 0.533333i | \(0.820939\pi\) | |||||||
\(878\) | −25.7668 | − | 25.7668i | −0.869587 | − | 0.869587i | ||||
\(879\) | −23.2936 | + | 26.0949i | −0.785673 | + | 0.880159i | ||||
\(880\) | 8.21724 | + | 1.03246i | 0.277003 | + | 0.0348043i | ||||
\(881\) | 4.80357i | 0.161836i | 0.996721 | + | 0.0809182i | \(0.0257852\pi\) | ||||
−0.996721 | + | 0.0809182i | \(0.974215\pi\) | |||||||
\(882\) | −4.51037 | − | 3.58865i | −0.151872 | − | 0.120836i | ||||
\(883\) | 20.8825 | − | 20.8825i | 0.702751 | − | 0.702751i | −0.262249 | − | 0.965000i | \(-0.584464\pi\) |
0.965000 | + | 0.262249i | \(0.0844642\pi\) | |||||||
\(884\) | 0.983873 | 0.0330912 | ||||||||
\(885\) | −47.5811 | − | 3.25634i | −1.59942 | − | 0.109461i | ||||
\(886\) | −7.33353 | −0.246375 | ||||||||
\(887\) | 12.2705 | − | 12.2705i | 0.412003 | − | 0.412003i | −0.470433 | − | 0.882436i | \(-0.655902\pi\) |
0.882436 | + | 0.470433i | \(0.155902\pi\) | |||||||
\(888\) | 5.48044 | − | 0.310853i | 0.183912 | − | 0.0104315i | ||||
\(889\) | 20.6434i | 0.692356i | ||||||||
\(890\) | 14.7595 | + | 19.0014i | 0.494739 | + | 0.636928i | ||||
\(891\) | 7.49021 | + | 32.4814i | 0.250932 | + | 1.08817i | ||||
\(892\) | 5.37150 | + | 5.37150i | 0.179851 | + | 0.179851i | ||||
\(893\) | 0.0683036 | + | 0.0683036i | 0.00228569 | + | 0.00228569i | ||||
\(894\) | −14.4229 | − | 12.8745i | −0.482372 | − | 0.430589i | ||||
\(895\) | 5.20123 | − | 41.3960i | 0.173858 | − | 1.38371i | ||||
\(896\) | 2.25360i | 0.0752875i | ||||||||
\(897\) | 0.300624 | + | 5.30011i | 0.0100376 | + | 0.176966i | ||||
\(898\) | −27.3667 | + | 27.3667i | −0.913240 | + | 0.913240i | ||||
\(899\) | 1.30186 | 0.0434194 | ||||||||
\(900\) | 2.04356 | − | 14.8601i | 0.0681186 | − | 0.495338i | ||||
\(901\) | −0.271344 | −0.00903979 | ||||||||
\(902\) | −13.1438 | + | 13.1438i | −0.437640 | + | 0.437640i | ||||
\(903\) | 2.30414 | + | 40.6228i | 0.0766769 | + | 1.35184i | ||||
\(904\) | − | 5.04389i | − | 0.167757i | ||||||
\(905\) | −5.72075 | + | 45.5308i | −0.190164 | + | 1.51349i | ||||
\(906\) | 2.75777 | + | 2.46172i | 0.0916207 | + | 0.0817850i | ||||
\(907\) | 11.8612 | + | 11.8612i | 0.393843 | + | 0.393843i | 0.876055 | − | 0.482211i | \(-0.160166\pi\) |
−0.482211 | + | 0.876055i | \(0.660166\pi\) | |||||||
\(908\) | 12.5296 | + | 12.5296i | 0.415810 | + | 0.415810i | ||||
\(909\) | −0.750811 | − | 6.59724i | −0.0249028 | − | 0.218817i | ||||
\(910\) | −4.48278 | − | 5.77114i | −0.148603 | − | 0.191311i | ||||
\(911\) | 33.8899i | 1.12282i | 0.827537 | + | 0.561411i | \(0.189741\pi\) | ||||
−0.827537 | + | 0.561411i | \(0.810259\pi\) | |||||||
\(912\) | −0.511898 | + | 0.0290350i | −0.0169506 | + | 0.000961446i | ||||
\(913\) | 7.23979 | − | 7.23979i | 0.239602 | − | 0.239602i | ||||
\(914\) | 4.92404 | 0.162873 | ||||||||
\(915\) | −42.9016 | − | 2.93609i | −1.41828 | − | 0.0970641i | ||||
\(916\) | 7.68865 | 0.254040 | ||||||||
\(917\) | 26.4387 | − | 26.4387i | 0.873082 | − | 0.873082i | ||||
\(918\) | 3.47458 | − | 0.596360i | 0.114678 | − | 0.0196828i | ||||
\(919\) | − | 57.2926i | − | 1.88991i | −0.327202 | − | 0.944954i | \(-0.606106\pi\) | ||
0.327202 | − | 0.944954i | \(-0.393894\pi\) | |||||||
\(920\) | 4.68912 | + | 0.589168i | 0.154596 | + | 0.0194243i | ||||
\(921\) | −0.942496 | + | 1.05584i | −0.0310563 | + | 0.0347912i | ||||
\(922\) | 9.80950 | + | 9.80950i | 0.323059 | + | 0.323059i | ||||
\(923\) | −6.59757 | − | 6.59757i | −0.217162 | − | 0.217162i | ||||
\(924\) | 9.62738 | − | 10.7852i | 0.316717 | − | 0.354807i | ||||
\(925\) | 8.08467 | + | 13.6285i | 0.265822 | + | 0.448104i | ||||
\(926\) | − | 3.55963i | − | 0.116977i | ||||||
\(927\) | 12.0168 | − | 15.1032i | 0.394683 | − | 0.496055i | ||||
\(928\) | −0.920553 | + | 0.920553i | −0.0302186 | + | 0.0302186i | ||||
\(929\) | −39.2239 | −1.28689 | −0.643447 | − | 0.765491i | \(-0.722496\pi\) | ||||
−0.643447 | + | 0.765491i | \(0.722496\pi\) | |||||||
\(930\) | −2.91921 | + | 2.54523i | −0.0957246 | + | 0.0834615i | ||||
\(931\) | −0.568736 | −0.0186396 | ||||||||
\(932\) | 6.41781 | − | 6.41781i | 0.210223 | − | 0.210223i | ||||
\(933\) | 51.8694 | − | 2.94205i | 1.69813 | − | 0.0963184i | ||||
\(934\) | − | 42.4816i | − | 1.39004i | ||||||
\(935\) | −4.43749 | + | 3.44686i | −0.145122 | + | 0.112724i | ||||
\(936\) | 4.32256 | − | 0.491937i | 0.141287 | − | 0.0160795i | ||||
\(937\) | 14.6953 | + | 14.6953i | 0.480074 | + | 0.480074i | 0.905155 | − | 0.425081i | \(-0.139755\pi\) |
−0.425081 | + | 0.905155i | \(0.639755\pi\) | |||||||
\(938\) | −21.2343 | − | 21.2343i | −0.693326 | − | 0.693326i | ||||
\(939\) | −12.2777 | − | 10.9596i | −0.400666 | − | 0.357654i | ||||
\(940\) | −0.576247 | + | 0.447604i | −0.0187951 | + | 0.0145992i | ||||
\(941\) | − | 36.6501i | − | 1.19476i | −0.801959 | − | 0.597379i | \(-0.796209\pi\) | ||
0.801959 | − | 0.597379i | \(-0.203791\pi\) | |||||||
\(942\) | 1.09237 | + | 19.2589i | 0.0355913 | + | 0.627488i | ||||
\(943\) | −7.50042 | + | 7.50042i | −0.244247 | + | 0.244247i | ||||
\(944\) | −12.3141 | −0.400791 | ||||||||
\(945\) | −19.3292 | − | 17.6638i | −0.628778 | − | 0.574604i | ||||
\(946\) | 38.6075 | 1.25524 | ||||||||
\(947\) | −35.2800 | + | 35.2800i | −1.14645 | + | 1.14645i | −0.159200 | + | 0.987246i | \(0.550891\pi\) |
−0.987246 | + | 0.159200i | \(0.949109\pi\) | |||||||
\(948\) | −0.349746 | − | 6.16614i | −0.0113592 | − | 0.200267i | ||||
\(949\) | − | 12.1325i | − | 0.393839i | ||||||
\(950\) | −0.755145 | − | 1.27297i | −0.0245001 | − | 0.0413005i | ||||
\(951\) | 32.2904 | + | 28.8240i | 1.04709 | + | 0.934682i | ||||
\(952\) | −1.08115 | − | 1.08115i | −0.0350404 | − | 0.0350404i | ||||
\(953\) | 9.14374 | + | 9.14374i | 0.296195 | + | 0.296195i | 0.839521 | − | 0.543327i | \(-0.182835\pi\) |
−0.543327 | + | 0.839521i | \(0.682835\pi\) | |||||||
\(954\) | −1.19213 | + | 0.135672i | −0.0385965 | + | 0.00439255i | ||||
\(955\) | −50.1141 | − | 6.29663i | −1.62165 | − | 0.203754i | ||||
\(956\) | 23.1583i | 0.748994i | ||||||||
\(957\) | 8.33814 | − | 0.472942i | 0.269534 | − | 0.0152881i | ||||
\(958\) | 17.2711 | − | 17.2711i | 0.558005 | − | 0.558005i | ||||
\(959\) | 36.6929 | 1.18488 | ||||||||
\(960\) | 0.264439 | − | 3.86395i | 0.00853475 | − | 0.124708i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | −3.24976 | + | 3.24976i | −0.104777 | + | 0.104777i | ||||
\(963\) | 29.2559 | − | 36.7701i | 0.942758 | − | 1.18490i | ||||
\(964\) | 24.6719i | 0.794628i | ||||||||
\(965\) | 14.0552 | + | 18.0948i | 0.452454 | + | 0.582491i | ||||
\(966\) | 5.49381 | − | 6.15451i | 0.176760 | − | 0.198018i | ||||
\(967\) | 22.9601 | + | 22.9601i | 0.738346 | + | 0.738346i | 0.972258 | − | 0.233912i | \(-0.0751527\pi\) |
−0.233912 | + | 0.972258i | \(0.575153\pi\) | |||||||
\(968\) | −1.92178 | − | 1.92178i | −0.0617683 | − | 0.0617683i | ||||
\(969\) | 0.231651 | − | 0.259510i | 0.00744170 | − | 0.00833665i | ||||
\(970\) | 1.99755 | − | 15.8983i | 0.0641374 | − | 0.510462i | ||||
\(971\) | 0.280300i | 0.00899525i | 0.999990 | + | 0.00449762i | \(0.00143164\pi\) | ||||
−0.999990 | + | 0.00449762i | \(0.998568\pi\) | |||||||
\(972\) | 14.9671 | − | 4.35735i | 0.480069 | − | 0.139762i | ||||
\(973\) | −2.70881 | + | 2.70881i | −0.0868405 | + | 0.0868405i | ||||
\(974\) | −23.0912 | −0.739891 | ||||||||
\(975\) | 7.00882 | + | 10.4210i | 0.224462 | + | 0.333739i | ||||
\(976\) | −11.1031 | −0.355401 | ||||||||
\(977\) | −20.5957 | + | 20.5957i | −0.658916 | + | 0.658916i | −0.955124 | − | 0.296208i | \(-0.904278\pi\) |
0.296208 | + | 0.955124i | \(0.404278\pi\) | |||||||
\(978\) | −5.55966 | + | 0.315346i | −0.177778 | + | 0.0100836i | ||||
\(979\) | − | 39.8527i | − | 1.27370i | ||||||
\(980\) | 0.535577 | − | 4.26260i | 0.0171084 | − | 0.136164i | ||||
\(981\) | 3.39048 | + | 29.7915i | 0.108250 | + | 0.951170i | ||||
\(982\) | 8.98286 | + | 8.98286i | 0.286655 | + | 0.286655i | ||||
\(983\) | −10.1213 | − | 10.1213i | −0.322820 | − | 0.322820i | 0.527028 | − | 0.849848i | \(-0.323306\pi\) |
−0.849848 | + | 0.527028i | \(0.823306\pi\) | |||||||
\(984\) | 6.48486 | + | 5.78870i | 0.206730 | + | 0.184537i | ||||
\(985\) | −6.28159 | − | 8.08693i | −0.200148 | − | 0.257671i | ||||
\(986\) | − | 0.883261i | − | 0.0281288i | ||||||
\(987\) | 0.0721302 | + | 1.27168i | 0.00229593 | + | 0.0404781i | ||||
\(988\) | 0.303542 | − | 0.303542i | 0.00965697 | − | 0.00965697i | ||||
\(989\) | 22.0312 | 0.700550 | ||||||||
\(990\) | −17.7723 | + | 17.3622i | −0.564841 | + | 0.551807i | ||||
\(991\) | −16.7627 | −0.532485 | −0.266243 | − | 0.963906i | \(-0.585782\pi\) | ||||
−0.266243 | + | 0.963906i | \(0.585782\pi\) | |||||||
\(992\) | −0.707107 | + | 0.707107i | −0.0224507 | + | 0.0224507i | ||||
\(993\) | 1.51817 | + | 26.7659i | 0.0481777 | + | 0.849389i | ||||
\(994\) | 14.4998i | 0.459906i | ||||||||
\(995\) | −38.3064 | − | 4.81304i | −1.21440 | − | 0.152584i | ||||
\(996\) | −3.57196 | − | 3.18851i | −0.113182 | − | 0.101032i | ||||
\(997\) | −26.7133 | − | 26.7133i | −0.846019 | − | 0.846019i | 0.143615 | − | 0.989634i | \(-0.454127\pi\) |
−0.989634 | + | 0.143615i | \(0.954127\pi\) | |||||||
\(998\) | −7.60159 | − | 7.60159i | −0.240624 | − | 0.240624i | ||||
\(999\) | −9.50685 | + | 13.4464i | −0.300783 | + | 0.425427i |
(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 | 930.2.j.h.497.7 | ✓ | 40 | |
3.2 | odd | 2 | inner | 930.2.j.h.497.11 | yes | 40 | |
5.3 | odd | 4 | inner | 930.2.j.h.683.11 | yes | 40 | |
15.8 | even | 4 | inner | 930.2.j.h.683.7 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.j.h.497.7 | ✓ | 40 | 1.1 | even | 1 | trivial | |
930.2.j.h.497.11 | yes | 40 | 3.2 | odd | 2 | inner | |
930.2.j.h.683.7 | yes | 40 | 15.8 | even | 4 | inner | |
930.2.j.h.683.11 | yes | 40 | 5.3 | odd | 4 | inner |