Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(4,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bs (of order \(30\), degree \(8\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.6 | ||
Character | \(\chi\) | \(=\) | 403.4 |
Dual form | 403.2.bs.a.101.6 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.431958 | + | 2.03220i | −0.305441 | + | 1.43699i | 0.511012 | + | 0.859573i | \(0.329271\pi\) |
−0.816453 | + | 0.577412i | \(0.804063\pi\) | |||||||
\(3\) | 1.72231 | + | 1.91282i | 0.994375 | + | 1.10437i | 0.994539 | + | 0.104366i | \(0.0332812\pi\) |
−0.000163734 | 1.00000i | \(0.500052\pi\) | ||||||||
\(4\) | −2.11617 | − | 0.942181i | −1.05809 | − | 0.471091i | ||||
\(5\) | 3.56131i | 1.59267i | 0.604857 | + | 0.796334i | \(0.293230\pi\) | ||||
−0.604857 | + | 0.796334i | \(0.706770\pi\) | |||||||
\(6\) | −4.63120 | + | 2.67382i | −1.89068 | + | 1.09158i | ||||
\(7\) | 1.47626 | − | 3.31574i | 0.557974 | − | 1.25323i | −0.385782 | − | 0.922590i | \(-0.626068\pi\) |
0.943757 | − | 0.330641i | \(-0.107265\pi\) | |||||||
\(8\) | 0.386433 | − | 0.531879i | 0.136625 | − | 0.188048i | ||||
\(9\) | −0.378938 | + | 3.60536i | −0.126313 | + | 1.20179i | ||||
\(10\) | −7.23732 | − | 1.53834i | −2.28864 | − | 0.486466i | ||||
\(11\) | −1.56108 | + | 0.164076i | −0.470684 | + | 0.0494709i | −0.336902 | − | 0.941540i | \(-0.609379\pi\) |
−0.133782 | + | 0.991011i | \(0.542712\pi\) | |||||||
\(12\) | −1.84248 | − | 5.67058i | −0.531879 | − | 1.63696i | ||||
\(13\) | 2.76209 | − | 2.31751i | 0.766066 | − | 0.642762i | ||||
\(14\) | 6.10057 | + | 4.43232i | 1.63045 | + | 1.18459i | ||||
\(15\) | −6.81214 | + | 6.13368i | −1.75889 | + | 1.58371i | ||||
\(16\) | −2.18604 | − | 2.42784i | −0.546510 | − | 0.606960i | ||||
\(17\) | −0.247176 | + | 2.35172i | −0.0599489 | + | 0.570376i | 0.922780 | + | 0.385326i | \(0.125911\pi\) |
−0.982729 | + | 0.185049i | \(0.940756\pi\) | |||||||
\(18\) | −7.16314 | − | 2.32744i | −1.68837 | − | 0.548584i | ||||
\(19\) | −0.0995353 | − | 0.0896220i | −0.0228350 | − | 0.0205607i | 0.657634 | − | 0.753337i | \(-0.271557\pi\) |
−0.680469 | + | 0.732777i | \(0.738224\pi\) | |||||||
\(20\) | 3.35540 | − | 7.53636i | 0.750291 | − | 1.68518i | ||||
\(21\) | 8.88498 | − | 2.88690i | 1.93886 | − | 0.629974i | ||||
\(22\) | 0.340886 | − | 3.24331i | 0.0726771 | − | 0.691477i | ||||
\(23\) | 8.30014 | − | 3.69546i | 1.73070 | − | 0.770557i | 0.734985 | − | 0.678084i | \(-0.237189\pi\) |
0.995715 | − | 0.0924734i | \(-0.0294773\pi\) | |||||||
\(24\) | 1.68294 | − | 0.176885i | 0.343530 | − | 0.0361064i | ||||
\(25\) | −7.68296 | −1.53659 | ||||||||
\(26\) | 3.51655 | + | 6.61420i | 0.689652 | + | 1.29715i | ||||
\(27\) | −1.30193 | + | 0.945909i | −0.250557 | + | 0.182040i | ||||
\(28\) | −6.24805 | + | 5.62577i | −1.18077 | + | 1.06317i | ||||
\(29\) | −7.06762 | − | 1.50227i | −1.31242 | − | 0.278964i | −0.502030 | − | 0.864850i | \(-0.667413\pi\) |
−0.810393 | + | 0.585886i | \(0.800747\pi\) | |||||||
\(30\) | −9.52233 | − | 16.4932i | −1.73853 | − | 3.01123i | ||||
\(31\) | 1.85916 | + | 5.24819i | 0.333915 | + | 0.942603i | ||||
\(32\) | 7.01687 | − | 4.05119i | 1.24042 | − | 0.716156i | ||||
\(33\) | −3.00251 | − | 2.70348i | −0.522671 | − | 0.470615i | ||||
\(34\) | −4.67240 | − | 1.51816i | −0.801310 | − | 0.260362i | ||||
\(35\) | 11.8084 | + | 5.25743i | 1.99598 | + | 0.888668i | ||||
\(36\) | 4.19880 | − | 7.27254i | 0.699800 | − | 1.21209i | ||||
\(37\) | 1.38441 | + | 0.799291i | 0.227596 | + | 0.131403i | 0.609463 | − | 0.792815i | \(-0.291385\pi\) |
−0.381866 | + | 0.924218i | \(0.624719\pi\) | |||||||
\(38\) | 0.225125 | − | 0.163563i | 0.0365201 | − | 0.0265334i | ||||
\(39\) | 9.19015 | + | 1.29190i | 1.47160 | + | 0.206870i | ||||
\(40\) | 1.89419 | + | 1.37621i | 0.299498 | + | 0.217598i | ||||
\(41\) | −0.652874 | + | 3.07153i | −0.101962 | + | 0.479693i | 0.897305 | + | 0.441411i | \(0.145522\pi\) |
−0.999267 | + | 0.0382820i | \(0.987811\pi\) | |||||||
\(42\) | 2.02884 | + | 19.3031i | 0.313057 | + | 2.97853i | ||||
\(43\) | 6.22115 | − | 6.90929i | 0.948717 | − | 1.05366i | −0.0497754 | − | 0.998760i | \(-0.515851\pi\) |
0.998492 | − | 0.0548962i | \(-0.0174828\pi\) | |||||||
\(44\) | 3.45811 | + | 1.12361i | 0.521330 | + | 0.169390i | ||||
\(45\) | −12.8398 | − | 1.34952i | −1.91405 | − | 0.201174i | ||||
\(46\) | 3.92462 | + | 18.4639i | 0.578653 | + | 2.72235i | ||||
\(47\) | −5.64720 | − | 1.83489i | −0.823728 | − | 0.267646i | −0.133327 | − | 0.991072i | \(-0.542566\pi\) |
−0.690401 | + | 0.723427i | \(0.742566\pi\) | |||||||
\(48\) | 0.878985 | − | 8.36299i | 0.126871 | − | 1.20709i | ||||
\(49\) | −4.13085 | − | 4.58778i | −0.590122 | − | 0.655397i | ||||
\(50\) | 3.31872 | − | 15.6133i | 0.469337 | − | 2.20806i | ||||
\(51\) | −4.92412 | + | 3.57758i | −0.689515 | + | 0.500962i | ||||
\(52\) | −8.02858 | + | 2.30187i | −1.11336 | + | 0.319212i | ||||
\(53\) | −0.292197 | − | 0.212293i | −0.0401363 | − | 0.0291607i | 0.567536 | − | 0.823348i | \(-0.307897\pi\) |
−0.607673 | + | 0.794188i | \(0.707897\pi\) | |||||||
\(54\) | −1.35990 | − | 3.05438i | −0.185059 | − | 0.415649i | ||||
\(55\) | −0.584328 | − | 5.55951i | −0.0787907 | − | 0.749644i | ||||
\(56\) | −1.19310 | − | 2.06650i | −0.159434 | − | 0.276148i | ||||
\(57\) | − | 0.344750i | − | 0.0456632i | ||||||
\(58\) | 6.10583 | − | 13.7139i | 0.801735 | − | 1.80073i | ||||
\(59\) | 0.131220 | + | 0.617343i | 0.0170834 | + | 0.0803712i | 0.985863 | − | 0.167551i | \(-0.0535857\pi\) |
−0.968780 | + | 0.247922i | \(0.920252\pi\) | |||||||
\(60\) | 20.1947 | − | 6.56166i | 2.60713 | − | 0.847107i | ||||
\(61\) | −7.37845 | − | 12.7798i | −0.944713 | − | 1.63629i | −0.756324 | − | 0.654197i | \(-0.773007\pi\) |
−0.188389 | − | 0.982094i | \(-0.560327\pi\) | |||||||
\(62\) | −11.4685 | + | 1.51119i | −1.45650 | + | 0.191922i | ||||
\(63\) | 11.3950 | + | 6.57891i | 1.43564 | + | 0.828865i | ||||
\(64\) | 3.18274 | + | 9.79547i | 0.397843 | + | 1.22443i | ||||
\(65\) | 8.25339 | + | 9.83667i | 1.02371 | + | 1.22009i | ||||
\(66\) | 6.79097 | − | 4.93393i | 0.835911 | − | 0.607325i | ||||
\(67\) | −3.71886 | − | 2.14709i | −0.454331 | − | 0.262308i | 0.255326 | − | 0.966855i | \(-0.417817\pi\) |
−0.709658 | + | 0.704547i | \(0.751150\pi\) | |||||||
\(68\) | 2.73881 | − | 4.74376i | 0.332130 | − | 0.575266i | ||||
\(69\) | 21.3642 | + | 9.51193i | 2.57194 | + | 1.14510i | ||||
\(70\) | −15.7849 | + | 21.7260i | −1.88666 | + | 2.59676i | ||||
\(71\) | −7.91454 | − | 0.831851i | −0.939283 | − | 0.0987226i | −0.377502 | − | 0.926009i | \(-0.623217\pi\) |
−0.561781 | + | 0.827286i | \(0.689884\pi\) | |||||||
\(72\) | 1.77118 | + | 1.59478i | 0.208736 | + | 0.187946i | ||||
\(73\) | 5.10437 | + | 7.02556i | 0.597421 | + | 0.822279i | 0.995469 | − | 0.0950852i | \(-0.0303124\pi\) |
−0.398048 | + | 0.917364i | \(0.630312\pi\) | |||||||
\(74\) | −2.22233 | + | 2.46815i | −0.258341 | + | 0.286917i | ||||
\(75\) | −13.2324 | − | 14.6961i | −1.52795 | − | 1.69696i | ||||
\(76\) | 0.126194 | + | 0.283436i | 0.0144754 | + | 0.0325123i | ||||
\(77\) | −1.76053 | + | 5.41836i | −0.200631 | + | 0.617479i | ||||
\(78\) | −6.59517 | + | 18.1182i | −0.746756 | + | 2.05148i | ||||
\(79\) | 9.19882 | + | 6.68334i | 1.03495 | + | 0.751934i | 0.969293 | − | 0.245908i | \(-0.0790862\pi\) |
0.0656554 | + | 0.997842i | \(0.479086\pi\) | |||||||
\(80\) | 8.64631 | − | 7.78517i | 0.966687 | − | 0.870408i | ||||
\(81\) | 6.58631 | + | 1.39996i | 0.731812 | + | 0.155552i | ||||
\(82\) | −5.95997 | − | 2.65355i | −0.658168 | − | 0.293035i | ||||
\(83\) | −10.3918 | + | 3.37650i | −1.14065 | + | 0.370619i | −0.817613 | − | 0.575768i | \(-0.804703\pi\) |
−0.323035 | + | 0.946387i | \(0.604703\pi\) | |||||||
\(84\) | −21.5221 | − | 2.26207i | −2.34826 | − | 0.246812i | ||||
\(85\) | −8.37521 | − | 0.880270i | −0.908419 | − | 0.0954787i | ||||
\(86\) | 11.3538 | + | 15.6272i | 1.22431 | + | 1.68512i | ||||
\(87\) | −9.29905 | − | 16.1064i | −0.996963 | − | 1.72679i | ||||
\(88\) | −0.515985 | + | 0.893712i | −0.0550042 | + | 0.0952700i | ||||
\(89\) | −9.66773 | + | 1.01612i | −1.02478 | + | 0.107708i | −0.601976 | − | 0.798514i | \(-0.705620\pi\) |
−0.422801 | + | 0.906222i | \(0.638953\pi\) | |||||||
\(90\) | 8.28876 | − | 25.5102i | 0.873712 | − | 2.68901i | ||||
\(91\) | −3.60670 | − | 12.5796i | −0.378084 | − | 1.31870i | ||||
\(92\) | −21.0463 | −2.19423 | ||||||||
\(93\) | −6.83679 | + | 12.5952i | −0.708942 | + | 1.30607i | ||||
\(94\) | 6.16821 | − | 10.6837i | 0.636203 | − | 1.10194i | ||||
\(95\) | 0.319172 | − | 0.354477i | 0.0327464 | − | 0.0363685i | ||||
\(96\) | 19.8344 | + | 6.44458i | 2.02434 | + | 0.657748i | ||||
\(97\) | −5.32640 | + | 11.9633i | −0.540814 | + | 1.21469i | 0.412015 | + | 0.911177i | \(0.364825\pi\) |
−0.952828 | + | 0.303510i | \(0.901841\pi\) | |||||||
\(98\) | 11.1077 | − | 6.41301i | 1.12204 | − | 0.647811i | ||||
\(99\) | − | 5.69044i | − | 0.571910i | ||||||
\(100\) | 16.2585 | + | 7.23874i | 1.62585 | + | 0.723874i | ||||
\(101\) | 8.65145 | − | 3.85187i | 0.860852 | − | 0.383276i | 0.0716645 | − | 0.997429i | \(-0.477169\pi\) |
0.789187 | + | 0.614153i | \(0.210502\pi\) | |||||||
\(102\) | −5.14336 | − | 11.5522i | −0.509269 | − | 1.14384i | ||||
\(103\) | 2.73733 | + | 8.42465i | 0.269718 | + | 0.830105i | 0.990569 | + | 0.137016i | \(0.0437510\pi\) |
−0.720851 | + | 0.693090i | \(0.756249\pi\) | |||||||
\(104\) | −0.165274 | − | 2.36466i | −0.0162065 | − | 0.231874i | ||||
\(105\) | 10.2812 | + | 31.6422i | 1.00334 | + | 3.08796i | ||||
\(106\) | 0.557640 | − | 0.502101i | 0.0541628 | − | 0.0487684i | ||||
\(107\) | 6.77156 | − | 3.01489i | 0.654632 | − | 0.291461i | −0.0524173 | − | 0.998625i | \(-0.516693\pi\) |
0.707049 | + | 0.707164i | \(0.250026\pi\) | |||||||
\(108\) | 3.64633 | − | 0.775052i | 0.350868 | − | 0.0745794i | ||||
\(109\) | 12.7441 | + | 4.14081i | 1.22066 | + | 0.396618i | 0.847324 | − | 0.531077i | \(-0.178213\pi\) |
0.373340 | + | 0.927695i | \(0.378213\pi\) | |||||||
\(110\) | 11.5505 | + | 1.21400i | 1.10129 | + | 0.115751i | ||||
\(111\) | 0.855488 | + | 4.02476i | 0.0811993 | + | 0.382013i | ||||
\(112\) | −11.2772 | + | 3.66420i | −1.06560 | + | 0.346234i | ||||
\(113\) | −5.75958 | − | 2.56433i | −0.541815 | − | 0.241232i | 0.117533 | − | 0.993069i | \(-0.462501\pi\) |
−0.659349 | + | 0.751837i | \(0.729168\pi\) | |||||||
\(114\) | 0.700602 | + | 0.148917i | 0.0656173 | + | 0.0139474i | ||||
\(115\) | 13.1607 | + | 29.5594i | 1.22724 | + | 2.75643i | ||||
\(116\) | 13.5409 | + | 9.83804i | 1.25724 | + | 0.913439i | ||||
\(117\) | 7.30880 | + | 10.8365i | 0.675699 | + | 1.00184i | ||||
\(118\) | −1.31125 | −0.120710 | ||||||||
\(119\) | 7.43279 | + | 4.29132i | 0.681362 | + | 0.393385i | ||||
\(120\) | 0.629942 | + | 5.99350i | 0.0575055 | + | 0.547129i | ||||
\(121\) | −8.34957 | + | 1.77476i | −0.759051 | + | 0.161341i | ||||
\(122\) | 29.1584 | − | 9.47415i | 2.63988 | − | 0.857749i | ||||
\(123\) | −6.99973 | + | 4.04130i | −0.631145 | + | 0.364391i | ||||
\(124\) | 1.01044 | − | 12.8578i | 0.0907404 | − | 1.15466i | ||||
\(125\) | − | 9.55485i | − | 0.854612i | ||||||
\(126\) | −18.2919 | + | 20.3152i | −1.62957 | + | 1.80982i | ||||
\(127\) | 3.94800 | + | 4.38470i | 0.350328 | + | 0.389079i | 0.892394 | − | 0.451257i | \(-0.149024\pi\) |
−0.542066 | + | 0.840336i | \(0.682358\pi\) | |||||||
\(128\) | −5.16523 | + | 0.542887i | −0.456546 | + | 0.0479849i | ||||
\(129\) | 23.9309 | 2.10700 | ||||||||
\(130\) | −23.5552 | + | 12.5235i | −2.06593 | + | 1.09839i | ||||
\(131\) | −5.28237 | + | 3.83787i | −0.461523 | + | 0.335316i | −0.794128 | − | 0.607750i | \(-0.792072\pi\) |
0.332605 | + | 0.943066i | \(0.392072\pi\) | |||||||
\(132\) | 3.80668 | + | 8.54994i | 0.331329 | + | 0.744177i | ||||
\(133\) | −0.444103 | + | 0.197727i | −0.0385086 | + | 0.0171451i | ||||
\(134\) | 5.96971 | − | 6.63003i | 0.515704 | − | 0.572748i | ||||
\(135\) | −3.36868 | − | 4.63659i | −0.289930 | − | 0.399054i | ||||
\(136\) | 1.15531 | + | 1.04025i | 0.0990673 | + | 0.0892006i | ||||
\(137\) | −2.31117 | − | 10.8732i | −0.197457 | − | 0.928961i | −0.959560 | − | 0.281505i | \(-0.909166\pi\) |
0.762103 | − | 0.647456i | \(-0.224167\pi\) | |||||||
\(138\) | −28.5586 | + | 39.3076i | −2.43107 | + | 3.34608i | ||||
\(139\) | 0.602543 | − | 0.128074i | 0.0511070 | − | 0.0108631i | −0.182287 | − | 0.983245i | \(-0.558350\pi\) |
0.233394 | + | 0.972382i | \(0.425017\pi\) | |||||||
\(140\) | −20.0351 | − | 22.2513i | −1.69328 | − | 1.88058i | ||||
\(141\) | −6.21641 | − | 13.9623i | −0.523516 | − | 1.17584i | ||||
\(142\) | 5.10924 | − | 15.7246i | 0.428758 | − | 1.31958i | ||||
\(143\) | −3.93160 | + | 4.07102i | −0.328777 | + | 0.340436i | ||||
\(144\) | 9.58161 | − | 6.96145i | 0.798468 | − | 0.580121i | ||||
\(145\) | 5.35005 | − | 25.1700i | 0.444297 | − | 2.09025i | ||||
\(146\) | −16.4822 | + | 7.33837i | −1.36408 | + | 0.607327i | ||||
\(147\) | 1.66098 | − | 15.8031i | 0.136995 | − | 1.30342i | ||||
\(148\) | −2.17658 | − | 2.99581i | −0.178914 | − | 0.246254i | ||||
\(149\) | 14.1974 | − | 8.19689i | 1.16310 | − | 0.671516i | 0.211054 | − | 0.977474i | \(-0.432310\pi\) |
0.952045 | + | 0.305959i | \(0.0989769\pi\) | |||||||
\(150\) | 35.5813 | − | 20.5429i | 2.90520 | − | 1.67732i | ||||
\(151\) | −1.25597 | − | 1.72869i | −0.102209 | − | 0.140679i | 0.754849 | − | 0.655899i | \(-0.227710\pi\) |
−0.857058 | + | 0.515220i | \(0.827710\pi\) | |||||||
\(152\) | −0.0861318 | + | 0.0183079i | −0.00698621 | + | 0.00148497i | ||||
\(153\) | −8.38512 | − | 1.78231i | −0.677897 | − | 0.144091i | ||||
\(154\) | −10.2507 | − | 5.91826i | −0.826028 | − | 0.476907i | ||||
\(155\) | −18.6905 | + | 6.62105i | −1.50125 | + | 0.531816i | ||||
\(156\) | −18.2307 | − | 11.3927i | −1.45963 | − | 0.912144i | ||||
\(157\) | −2.28732 | − | 7.03965i | −0.182548 | − | 0.561825i | 0.817350 | − | 0.576142i | \(-0.195443\pi\) |
−0.999898 | + | 0.0143172i | \(0.995443\pi\) | |||||||
\(158\) | −17.5554 | + | 15.8070i | −1.39663 | + | 1.25753i | ||||
\(159\) | −0.0971745 | − | 0.924554i | −0.00770644 | − | 0.0733219i | ||||
\(160\) | 14.4276 | + | 24.9893i | 1.14060 | + | 1.97557i | ||||
\(161\) | − | 32.9766i | − | 2.59892i | ||||||
\(162\) | −5.69002 | + | 12.7800i | −0.447051 | + | 1.00409i | ||||
\(163\) | −2.61419 | − | 0.274763i | −0.204759 | − | 0.0215211i | 0.00159339 | − | 0.999999i | \(-0.499493\pi\) |
−0.206353 | + | 0.978478i | \(0.566159\pi\) | |||||||
\(164\) | 4.27554 | − | 5.88477i | 0.333863 | − | 0.459523i | ||||
\(165\) | 9.62793 | − | 10.6929i | 0.749533 | − | 0.832441i | ||||
\(166\) | −2.37291 | − | 22.5768i | −0.184174 | − | 1.75230i | ||||
\(167\) | −1.11918 | + | 5.26535i | −0.0866051 | + | 0.407445i | 0.913395 | + | 0.407075i | \(0.133451\pi\) |
−1.00000 | 0.000370203i | \(0.999882\pi\) | ||||||||
\(168\) | 1.89796 | − | 5.84133i | 0.146431 | − | 0.450668i | ||||
\(169\) | 2.25828 | − | 12.8024i | 0.173713 | − | 0.984796i | ||||
\(170\) | 5.40663 | − | 16.6399i | 0.414670 | − | 1.27622i | ||||
\(171\) | 0.360837 | − | 0.324899i | 0.0275939 | − | 0.0248457i | ||||
\(172\) | −19.6748 | + | 8.75980i | −1.50019 | + | 0.667929i | ||||
\(173\) | −8.76786 | + | 1.86367i | −0.666608 | + | 0.141692i | −0.528773 | − | 0.848763i | \(-0.677348\pi\) |
−0.137835 | + | 0.990455i | \(0.544014\pi\) | |||||||
\(174\) | 36.7483 | − | 11.9403i | 2.78588 | − | 0.905189i | ||||
\(175\) | −11.3421 | + | 25.4747i | −0.857379 | + | 1.92570i | ||||
\(176\) | 3.81094 | + | 3.43138i | 0.287260 | + | 0.258650i | ||||
\(177\) | −0.954863 | + | 1.31426i | −0.0717719 | + | 0.0987855i | ||||
\(178\) | 2.11109 | − | 20.0857i | 0.158233 | − | 1.50549i | ||||
\(179\) | −1.92786 | − | 18.3423i | −0.144095 | − | 1.37097i | −0.792592 | − | 0.609753i | \(-0.791269\pi\) |
0.648497 | − | 0.761217i | \(-0.275398\pi\) | |||||||
\(180\) | 25.8998 | + | 14.9532i | 1.93046 | + | 1.11455i | ||||
\(181\) | −19.1300 | −1.42192 | −0.710960 | − | 0.703233i | \(-0.751739\pi\) | ||||
−0.710960 | + | 0.703233i | \(0.751739\pi\) | |||||||
\(182\) | 27.1223 | − | 1.89567i | 2.01044 | − | 0.140517i | ||||
\(183\) | 11.7375 | − | 36.1245i | 0.867665 | − | 2.67040i | ||||
\(184\) | 1.24191 | − | 5.84272i | 0.0915548 | − | 0.430731i | ||||
\(185\) | −2.84653 | + | 4.93033i | −0.209281 | + | 0.362485i | ||||
\(186\) | −22.6429 | − | 19.3344i | −1.66026 | − | 1.41766i | ||||
\(187\) | − | 3.71178i | − | 0.271432i | ||||||
\(188\) | 10.2217 | + | 9.20362i | 0.745491 | + | 0.671243i | ||||
\(189\) | 1.21439 | + | 5.71327i | 0.0883341 | + | 0.415579i | ||||
\(190\) | 0.582500 | + | 0.801742i | 0.0422590 | + | 0.0581645i | ||||
\(191\) | −9.34638 | − | 16.1884i | −0.676280 | − | 1.17135i | −0.976093 | − | 0.217354i | \(-0.930258\pi\) |
0.299813 | − | 0.953998i | \(-0.403076\pi\) | |||||||
\(192\) | −13.2553 | + | 22.9588i | −0.956618 | + | 1.65691i | ||||
\(193\) | 7.26488 | − | 0.763570i | 0.522937 | − | 0.0549629i | 0.160617 | − | 0.987017i | \(-0.448651\pi\) |
0.362320 | + | 0.932054i | \(0.381985\pi\) | |||||||
\(194\) | −22.0110 | − | 15.9920i | −1.58030 | − | 1.14816i | ||||
\(195\) | −4.60087 | + | 32.7290i | −0.329475 | + | 2.34377i | ||||
\(196\) | 4.41908 | + | 13.6005i | 0.315649 | + | 0.971467i | ||||
\(197\) | 10.2913 | − | 1.08166i | 0.733225 | − | 0.0770651i | 0.269446 | − | 0.963016i | \(-0.413160\pi\) |
0.463780 | + | 0.885950i | \(0.346493\pi\) | |||||||
\(198\) | 11.5641 | + | 2.45803i | 0.821827 | + | 0.174685i | ||||
\(199\) | 3.42773 | − | 0.728586i | 0.242985 | − | 0.0516481i | −0.0848091 | − | 0.996397i | \(-0.527028\pi\) |
0.327794 | + | 0.944749i | \(0.393695\pi\) | |||||||
\(200\) | −2.96895 | + | 4.08641i | −0.209936 | + | 0.288953i | ||||
\(201\) | −2.29804 | − | 10.8114i | −0.162092 | − | 0.762581i | ||||
\(202\) | 4.09073 | + | 19.2454i | 0.287823 | + | 1.35410i | ||||
\(203\) | −15.4148 | + | 21.2166i | −1.08191 | + | 1.48911i | ||||
\(204\) | 13.7910 | − | 2.93137i | 0.965565 | − | 0.205237i | ||||
\(205\) | −10.9387 | − | 2.32509i | −0.763991 | − | 0.162391i | ||||
\(206\) | −18.3030 | + | 1.92372i | −1.27523 | + | 0.134032i | ||||
\(207\) | 10.1782 | + | 31.3253i | 0.707435 | + | 2.17726i | ||||
\(208\) | −11.6646 | − | 1.63975i | −0.808794 | − | 0.113696i | ||||
\(209\) | 0.170088 | + | 0.123576i | 0.0117652 | + | 0.00854793i | ||||
\(210\) | −68.7444 | + | 7.22533i | −4.74382 | + | 0.498595i | ||||
\(211\) | 3.02316 | − | 5.23627i | 0.208123 | − | 0.360480i | −0.743000 | − | 0.669291i | \(-0.766598\pi\) |
0.951123 | + | 0.308812i | \(0.0999312\pi\) | |||||||
\(212\) | 0.418320 | + | 0.724552i | 0.0287304 | + | 0.0497624i | ||||
\(213\) | −12.0401 | − | 16.5718i | −0.824974 | − | 1.13548i | ||||
\(214\) | 3.20185 | + | 15.0635i | 0.218874 | + | 1.02972i | ||||
\(215\) | 24.6061 | + | 22.1555i | 1.67813 | + | 1.51099i | ||||
\(216\) | 1.05800i | 0.0719879i | ||||||||
\(217\) | 20.1462 | + | 1.58322i | 1.36762 | + | 0.107476i | ||||
\(218\) | −13.9199 | + | 24.1100i | −0.942774 | + | 1.63293i | ||||
\(219\) | −4.64731 | + | 21.8639i | −0.314036 | + | 1.47743i | ||||
\(220\) | −4.00152 | + | 12.3154i | −0.269783 | + | 0.830306i | ||||
\(221\) | 4.76742 | + | 7.06849i | 0.320691 | + | 0.475478i | ||||
\(222\) | −8.54866 | −0.573748 | ||||||||
\(223\) | −1.34946 | − | 0.779110i | −0.0903664 | − | 0.0521731i | 0.454136 | − | 0.890932i | \(-0.349948\pi\) |
−0.544502 | + | 0.838759i | \(0.683281\pi\) | |||||||
\(224\) | −3.07395 | − | 29.2467i | −0.205387 | − | 1.95413i | ||||
\(225\) | 2.91137 | − | 27.6998i | 0.194091 | − | 1.84665i | ||||
\(226\) | 7.69914 | − | 10.5970i | 0.512139 | − | 0.704899i | ||||
\(227\) | −15.9677 | − | 14.3774i | −1.05981 | − | 0.954258i | −0.0607751 | − | 0.998151i | \(-0.519357\pi\) |
−0.999036 | + | 0.0438931i | \(0.986024\pi\) | |||||||
\(228\) | −0.324817 | + | 0.729550i | −0.0215115 | + | 0.0483156i | ||||
\(229\) | 6.58091 | − | 2.13827i | 0.434879 | − | 0.141301i | −0.0833927 | − | 0.996517i | \(-0.526576\pi\) |
0.518272 | + | 0.855216i | \(0.326576\pi\) | |||||||
\(230\) | −65.7556 | + | 13.9768i | −4.33580 | + | 0.921603i | ||||
\(231\) | −13.3965 | + | 5.96451i | −0.881426 | + | 0.392436i | ||||
\(232\) | −3.53019 | + | 3.17859i | −0.231768 | + | 0.208685i | ||||
\(233\) | 7.82378 | − | 24.0791i | 0.512553 | − | 1.57748i | −0.275138 | − | 0.961405i | \(-0.588724\pi\) |
0.787691 | − | 0.616070i | \(-0.211276\pi\) | |||||||
\(234\) | −25.1791 | + | 10.1720i | −1.64601 | + | 0.664967i | ||||
\(235\) | 6.53460 | − | 20.1114i | 0.426271 | − | 1.31193i | ||||
\(236\) | 0.303964 | − | 1.43004i | 0.0197864 | − | 0.0930876i | ||||
\(237\) | 3.05921 | + | 29.1064i | 0.198717 | + | 1.89067i | ||||
\(238\) | −11.9315 | + | 13.2513i | −0.773404 | + | 0.858952i | ||||
\(239\) | 12.1802 | − | 16.7646i | 0.787873 | − | 1.08441i | −0.206496 | − | 0.978447i | \(-0.566206\pi\) |
0.994370 | − | 0.105967i | \(-0.0337939\pi\) | |||||||
\(240\) | 29.7832 | + | 3.13034i | 1.92250 | + | 0.202063i | ||||
\(241\) | 9.13519 | − | 20.5180i | 0.588449 | − | 1.32168i | −0.336534 | − | 0.941671i | \(-0.609255\pi\) |
0.924983 | − | 0.380007i | \(-0.124079\pi\) | |||||||
\(242\) | − | 17.7346i | − | 1.14003i | ||||||
\(243\) | 11.0797 | + | 19.1906i | 0.710763 | + | 1.23108i | ||||
\(244\) | 3.57315 | + | 33.9962i | 0.228747 | + | 2.17638i | ||||
\(245\) | 16.3385 | − | 14.7113i | 1.04383 | − | 0.939868i | ||||
\(246\) | −5.18915 | − | 15.9706i | −0.330848 | − | 1.01825i | ||||
\(247\) | −0.482626 | − | 0.0168697i | −0.0307087 | − | 0.00107339i | ||||
\(248\) | 3.50985 | + | 1.03923i | 0.222875 | + | 0.0659909i | ||||
\(249\) | −24.3565 | − | 14.0622i | −1.54353 | − | 0.891159i | ||||
\(250\) | 19.4174 | + | 4.12730i | 1.22807 | + | 0.261033i | ||||
\(251\) | 8.57442 | − | 1.82255i | 0.541212 | − | 0.115038i | 0.0708092 | − | 0.997490i | \(-0.477442\pi\) |
0.470403 | + | 0.882452i | \(0.344109\pi\) | |||||||
\(252\) | −17.9153 | − | 24.6583i | −1.12856 | − | 1.55333i | ||||
\(253\) | −12.3509 | + | 7.13078i | −0.776493 | + | 0.448308i | ||||
\(254\) | −10.6160 | + | 6.12913i | −0.666105 | + | 0.384576i | ||||
\(255\) | −12.7409 | − | 17.5363i | −0.797866 | − | 1.09817i | ||||
\(256\) | −1.02529 | + | 9.75499i | −0.0640807 | + | 0.609687i | ||||
\(257\) | 8.06781 | − | 3.59202i | 0.503256 | − | 0.224064i | −0.139375 | − | 0.990240i | \(-0.544509\pi\) |
0.642631 | + | 0.766176i | \(0.277843\pi\) | |||||||
\(258\) | −10.3372 | + | 48.6326i | −0.643564 | + | 3.02773i | ||||
\(259\) | 4.69400 | − | 3.41039i | 0.291671 | − | 0.211911i | ||||
\(260\) | −8.19768 | − | 28.5923i | −0.508399 | − | 1.77322i | ||||
\(261\) | 8.09440 | − | 24.9120i | 0.501031 | − | 1.54201i | ||||
\(262\) | −5.51756 | − | 12.3927i | −0.340876 | − | 0.765621i | ||||
\(263\) | 18.1665 | + | 20.1760i | 1.12020 | + | 1.24410i | 0.966689 | + | 0.255955i | \(0.0823899\pi\) |
0.153507 | + | 0.988148i | \(0.450943\pi\) | |||||||
\(264\) | −2.59819 | + | 0.552263i | −0.159908 | + | 0.0339894i | ||||
\(265\) | 0.756043 | − | 1.04060i | 0.0464434 | − | 0.0639238i | ||||
\(266\) | −0.209988 | − | 0.987918i | −0.0128752 | − | 0.0605732i | ||||
\(267\) | −18.5945 | − | 16.7425i | −1.13796 | − | 1.02463i | ||||
\(268\) | 5.84681 | + | 8.04745i | 0.357151 | + | 0.491576i | ||||
\(269\) | −14.7002 | + | 16.3262i | −0.896285 | + | 0.995425i | 0.103715 | + | 0.994607i | \(0.466927\pi\) |
−1.00000 | 0.000818156i | \(0.999740\pi\) | ||||||||
\(270\) | 10.8776 | − | 4.84303i | 0.661991 | − | 0.294737i | ||||
\(271\) | 11.5358 | + | 25.9098i | 0.700749 | + | 1.57391i | 0.814345 | + | 0.580381i | \(0.197096\pi\) |
−0.113596 | + | 0.993527i | \(0.536237\pi\) | |||||||
\(272\) | 6.24994 | − | 4.54084i | 0.378958 | − | 0.275329i | ||||
\(273\) | 17.8507 | − | 28.5649i | 1.08037 | − | 1.72883i | ||||
\(274\) | 23.0949 | 1.39522 | ||||||||
\(275\) | 11.9937 | − | 1.26059i | 0.723249 | − | 0.0760166i | ||||
\(276\) | −36.2483 | − | 40.2578i | −2.18189 | − | 2.42324i | ||||
\(277\) | −9.65526 | + | 10.7232i | −0.580128 | + | 0.644298i | −0.959754 | − | 0.280843i | \(-0.909386\pi\) |
0.379626 | + | 0.925140i | \(0.376053\pi\) | |||||||
\(278\) | 1.27981i | 0.0767581i | ||||||||
\(279\) | −19.6261 | + | 4.71420i | −1.17498 | + | 0.282232i | ||||
\(280\) | 7.35947 | − | 4.24899i | 0.439812 | − | 0.253926i | ||||
\(281\) | −17.8784 | + | 5.80905i | −1.06654 | + | 0.346539i | −0.789138 | − | 0.614216i | \(-0.789472\pi\) |
−0.277399 | + | 0.960755i | \(0.589472\pi\) | |||||||
\(282\) | 31.0595 | − | 6.60189i | 1.84956 | − | 0.393137i | ||||
\(283\) | 1.00991 | + | 9.60865i | 0.0600329 | + | 0.571175i | 0.982652 | + | 0.185462i | \(0.0593780\pi\) |
−0.922619 | + | 0.385714i | \(0.873955\pi\) | |||||||
\(284\) | 15.9648 | + | 9.21727i | 0.947336 | + | 0.546944i | ||||
\(285\) | 1.22776 | 0.0727263 | ||||||||
\(286\) | −6.57486 | − | 9.74833i | −0.388780 | − | 0.576431i | ||||
\(287\) | 9.22058 | + | 6.69914i | 0.544274 | + | 0.395438i | ||||
\(288\) | 11.9470 | + | 26.8335i | 0.703985 | + | 1.58118i | ||||
\(289\) | 11.1590 | + | 2.37192i | 0.656413 | + | 0.139525i | ||||
\(290\) | 48.8396 | + | 21.7448i | 2.86796 | + | 1.27690i | ||||
\(291\) | −32.0573 | + | 10.4160i | −1.87923 | + | 0.610599i | ||||
\(292\) | −4.18238 | − | 19.6765i | −0.244755 | − | 1.15148i | ||||
\(293\) | 2.05803 | + | 0.216308i | 0.120231 | + | 0.0126368i | 0.164453 | − | 0.986385i | \(-0.447414\pi\) |
−0.0442216 | + | 0.999022i | \(0.514081\pi\) | |||||||
\(294\) | 31.3977 | + | 10.2017i | 1.83115 | + | 0.594977i | ||||
\(295\) | −2.19855 | + | 0.467317i | −0.128005 | + | 0.0272082i | ||||
\(296\) | 0.960109 | − | 0.427468i | 0.0558052 | − | 0.0248461i | ||||
\(297\) | 1.87722 | − | 1.69026i | 0.108927 | − | 0.0980787i | ||||
\(298\) | 10.5251 | + | 32.3928i | 0.609700 | + | 1.87646i | ||||
\(299\) | 14.3615 | − | 29.4429i | 0.830545 | − | 1.70273i | ||||
\(300\) | 14.1557 | + | 43.5668i | 0.817281 | + | 2.51533i | ||||
\(301\) | −13.7253 | − | 30.8276i | −0.791115 | − | 1.77687i | ||||
\(302\) | 4.05557 | − | 1.80566i | 0.233372 | − | 0.103904i | ||||
\(303\) | 22.2684 | + | 9.91453i | 1.27929 | + | 0.569575i | ||||
\(304\) | 0.437573i | 0.0250965i | ||||||||
\(305\) | 45.5130 | − | 26.2770i | 2.60607 | − | 1.50461i | ||||
\(306\) | 7.24405 | − | 16.2704i | 0.414115 | − | 0.930117i | ||||
\(307\) | −29.5446 | − | 9.59962i | −1.68620 | − | 0.547879i | −0.700100 | − | 0.714044i | \(-0.746861\pi\) |
−0.986098 | + | 0.166165i | \(0.946861\pi\) | |||||||
\(308\) | 8.83067 | − | 9.80745i | 0.503174 | − | 0.558831i | ||||
\(309\) | −11.4003 | + | 19.7459i | −0.648539 | + | 1.12330i | ||||
\(310\) | −5.38183 | − | 40.8428i | −0.305668 | − | 2.31972i | ||||
\(311\) | −12.9594 | −0.734858 | −0.367429 | − | 0.930051i | \(-0.619762\pi\) | ||||
−0.367429 | + | 0.930051i | \(0.619762\pi\) | |||||||
\(312\) | 4.23851 | − | 4.38882i | 0.239958 | − | 0.248468i | ||||
\(313\) | 1.24264 | − | 3.82446i | 0.0702383 | − | 0.216171i | −0.909776 | − | 0.415101i | \(-0.863746\pi\) |
0.980014 | + | 0.198929i | \(0.0637464\pi\) | |||||||
\(314\) | 15.2940 | − | 1.60747i | 0.863092 | − | 0.0907146i | ||||
\(315\) | −23.4296 | + | 40.5812i | −1.32011 | + | 2.28649i | ||||
\(316\) | −13.1694 | − | 22.8101i | −0.740836 | − | 1.28317i | ||||
\(317\) | 5.41126 | + | 7.44796i | 0.303926 | + | 0.418319i | 0.933475 | − | 0.358642i | \(-0.116760\pi\) |
−0.629549 | + | 0.776961i | \(0.716760\pi\) | |||||||
\(318\) | 1.92086 | + | 0.201890i | 0.107716 | + | 0.0113214i | ||||
\(319\) | 11.2796 | + | 1.18554i | 0.631537 | + | 0.0663773i | ||||
\(320\) | −34.8848 | + | 11.3347i | −1.95012 | + | 0.633632i | ||||
\(321\) | 17.4297 | + | 7.76019i | 0.972829 | + | 0.433131i | ||||
\(322\) | 67.0151 | + | 14.2445i | 3.73461 | + | 0.793815i | ||||
\(323\) | 0.235368 | − | 0.211927i | 0.0130963 | − | 0.0117919i | ||||
\(324\) | −12.6188 | − | 9.16807i | −0.701042 | − | 0.509337i | ||||
\(325\) | −21.2210 | + | 17.8053i | −1.17713 | + | 0.987663i | ||||
\(326\) | 1.68760 | − | 5.19389i | 0.0934673 | − | 0.287663i | ||||
\(327\) | 14.0287 | + | 31.5089i | 0.775787 | + | 1.74245i | ||||
\(328\) | 1.38139 | + | 1.53419i | 0.0762746 | + | 0.0847116i | ||||
\(329\) | −14.4207 | + | 16.0158i | −0.795041 | + | 0.882982i | ||||
\(330\) | 17.5713 | + | 24.1848i | 0.967267 | + | 1.33133i | ||||
\(331\) | 0.244757 | + | 0.220380i | 0.0134531 | + | 0.0121132i | 0.675830 | − | 0.737058i | \(-0.263785\pi\) |
−0.662377 | + | 0.749171i | \(0.730452\pi\) | |||||||
\(332\) | 25.1721 | + | 2.64570i | 1.38150 | + | 0.145202i | ||||
\(333\) | −3.40634 | + | 4.68842i | −0.186666 | + | 0.256924i | ||||
\(334\) | −10.2168 | − | 4.54882i | −0.559040 | − | 0.248901i | ||||
\(335\) | 7.64645 | − | 13.2440i | 0.417770 | − | 0.723599i | ||||
\(336\) | −26.4318 | − | 15.2604i | −1.44198 | − | 0.832525i | ||||
\(337\) | 8.06390 | − | 5.85876i | 0.439268 | − | 0.319147i | −0.346076 | − | 0.938207i | \(-0.612486\pi\) |
0.785344 | + | 0.619059i | \(0.212486\pi\) | |||||||
\(338\) | 25.0415 | + | 10.1194i | 1.36208 | + | 0.550421i | ||||
\(339\) | −5.01468 | − | 15.4336i | −0.272360 | − | 0.838237i | ||||
\(340\) | 16.8940 | + | 9.75377i | 0.916207 | + | 0.528972i | ||||
\(341\) | −3.76341 | − | 7.88782i | −0.203800 | − | 0.427149i | ||||
\(342\) | 0.504395 | + | 0.873637i | 0.0272745 | + | 0.0472409i | ||||
\(343\) | 2.85312 | − | 0.927034i | 0.154054 | − | 0.0500551i | ||||
\(344\) | −1.27085 | − | 5.97888i | −0.0685196 | − | 0.322360i | ||||
\(345\) | −33.8750 | + | 76.0845i | −1.82377 | + | 4.09625i | ||||
\(346\) | − | 18.6231i | − | 1.00118i | ||||||
\(347\) | −2.70560 | − | 4.68624i | −0.145244 | − | 0.251570i | 0.784220 | − | 0.620483i | \(-0.213063\pi\) |
−0.929464 | + | 0.368913i | \(0.879730\pi\) | |||||||
\(348\) | 4.50323 | + | 42.8454i | 0.241399 | + | 2.29675i | ||||
\(349\) | −6.11890 | − | 13.7433i | −0.327537 | − | 0.735660i | 0.672453 | − | 0.740140i | \(-0.265241\pi\) |
−0.999990 | + | 0.00447972i | \(0.998574\pi\) | |||||||
\(350\) | −46.8704 | − | 34.0534i | −2.50533 | − | 1.82023i | ||||
\(351\) | −1.40390 | + | 5.62993i | −0.0749345 | + | 0.300503i | ||||
\(352\) | −10.2892 | + | 7.47554i | −0.548416 | + | 0.398448i | ||||
\(353\) | 6.42677 | − | 30.2356i | 0.342062 | − | 1.60928i | −0.385143 | − | 0.922857i | \(-0.625848\pi\) |
0.727205 | − | 0.686420i | \(-0.240819\pi\) | |||||||
\(354\) | −2.25838 | − | 2.50818i | −0.120031 | − | 0.133308i | ||||
\(355\) | 2.96248 | − | 28.1862i | 0.157232 | − | 1.49597i | ||||
\(356\) | 21.4160 | + | 6.95847i | 1.13504 | + | 0.368798i | ||||
\(357\) | 4.59304 | + | 21.6085i | 0.243089 | + | 1.14365i | ||||
\(358\) | 38.1081 | + | 4.00532i | 2.01408 | + | 0.211688i | ||||
\(359\) | 7.97193 | + | 2.59024i | 0.420742 | + | 0.136707i | 0.511733 | − | 0.859144i | \(-0.329004\pi\) |
−0.0909913 | + | 0.995852i | \(0.529004\pi\) | |||||||
\(360\) | −5.67951 | + | 6.30773i | −0.299336 | + | 0.332447i | ||||
\(361\) | −1.98417 | − | 18.8781i | −0.104430 | − | 0.993583i | ||||
\(362\) | 8.26335 | − | 38.8760i | 0.434312 | − | 2.04328i | ||||
\(363\) | −17.7753 | − | 12.9145i | −0.932962 | − | 0.677836i | ||||
\(364\) | −4.21989 | + | 30.0188i | −0.221182 | + | 1.57341i | ||||
\(365\) | −25.0202 | + | 18.1783i | −1.30962 | + | 0.951493i | ||||
\(366\) | 68.3421 | + | 39.4574i | 3.57230 | + | 2.06247i | ||||
\(367\) | −9.84737 | + | 17.0561i | −0.514029 | + | 0.890324i | 0.485839 | + | 0.874048i | \(0.338514\pi\) |
−0.999868 | + | 0.0162754i | \(0.994819\pi\) | |||||||
\(368\) | −27.1164 | − | 12.0730i | −1.41354 | − | 0.629349i | ||||
\(369\) | −10.8266 | − | 3.51777i | −0.563609 | − | 0.183128i | ||||
\(370\) | −8.78985 | − | 7.91442i | −0.456963 | − | 0.411451i | ||||
\(371\) | −1.13527 | + | 0.655447i | −0.0589402 | + | 0.0340291i | ||||
\(372\) | 26.3348 | − | 20.2122i | 1.36540 | − | 1.04796i | ||||
\(373\) | 8.43398 | + | 14.6081i | 0.436695 | + | 0.756378i | 0.997432 | − | 0.0716161i | \(-0.0228156\pi\) |
−0.560737 | + | 0.827994i | \(0.689482\pi\) | |||||||
\(374\) | 7.54310 | + | 1.60334i | 0.390044 | + | 0.0829065i | ||||
\(375\) | 18.2767 | − | 16.4564i | 0.943804 | − | 0.849805i | ||||
\(376\) | −3.15820 | + | 2.29457i | −0.162872 | + | 0.118333i | ||||
\(377\) | −23.0029 | + | 12.2299i | −1.18471 | + | 0.629871i | ||||
\(378\) | −12.1351 | −0.624162 | ||||||||
\(379\) | −9.52628 | + | 1.00125i | −0.489332 | + | 0.0514309i | −0.345982 | − | 0.938241i | \(-0.612454\pi\) |
−0.143350 | + | 0.989672i | \(0.545788\pi\) | |||||||
\(380\) | −1.00940 | + | 0.449416i | −0.0517814 | + | 0.0230546i | ||||
\(381\) | −1.58745 | + | 15.1036i | −0.0813277 | + | 0.773781i | ||||
\(382\) | 36.9354 | − | 12.0010i | 1.88978 | − | 0.614026i | ||||
\(383\) | −3.61210 | + | 8.11291i | −0.184570 | + | 0.414550i | −0.982005 | − | 0.188854i | \(-0.939523\pi\) |
0.797436 | + | 0.603404i | \(0.206189\pi\) | |||||||
\(384\) | −9.93456 | − | 8.94512i | −0.506971 | − | 0.456479i | ||||
\(385\) | −19.2965 | − | 6.26981i | −0.983440 | − | 0.319539i | ||||
\(386\) | −1.58640 | + | 15.0935i | −0.0807454 | + | 0.768241i | ||||
\(387\) | 22.5530 | + | 25.0477i | 1.14643 | + | 1.27324i | ||||
\(388\) | 22.5432 | − | 20.2980i | 1.14446 | − | 1.03047i | ||||
\(389\) | 3.85534 | + | 2.80107i | 0.195474 | + | 0.142020i | 0.681217 | − | 0.732082i | \(-0.261451\pi\) |
−0.485743 | + | 0.874101i | \(0.661451\pi\) | |||||||
\(390\) | −64.5246 | − | 23.4875i | −3.26733 | − | 1.18933i | ||||
\(391\) | 6.63910 | + | 20.4330i | 0.335753 | + | 1.03334i | ||||
\(392\) | −4.03644 | + | 0.424247i | −0.203871 | + | 0.0214277i | ||||
\(393\) | −16.4390 | − | 3.49422i | −0.829238 | − | 0.176260i | ||||
\(394\) | −2.24726 | + | 21.3813i | −0.113215 | + | 1.07717i | ||||
\(395\) | −23.8015 | + | 32.7599i | −1.19758 | + | 1.64833i | ||||
\(396\) | −5.36142 | + | 12.0420i | −0.269422 | + | 0.605131i | ||||
\(397\) | −26.5766 | + | 15.3440i | −1.33384 | + | 0.770093i | −0.985886 | − | 0.167418i | \(-0.946457\pi\) |
−0.347954 | + | 0.937511i | \(0.613124\pi\) | |||||||
\(398\) | 7.28056i | 0.364942i | ||||||||
\(399\) | −1.14310 | − | 0.508941i | −0.0572265 | − | 0.0254789i | ||||
\(400\) | 16.7952 | + | 18.6530i | 0.839762 | + | 0.932650i | ||||
\(401\) | −0.832780 | + | 3.91792i | −0.0415871 | + | 0.195652i | −0.994037 | − | 0.109043i | \(-0.965221\pi\) |
0.952450 | + | 0.304695i | \(0.0985546\pi\) | |||||||
\(402\) | 22.9637 | 1.14533 | ||||||||
\(403\) | 17.2979 | + | 10.1873i | 0.861671 | + | 0.507468i | ||||
\(404\) | −21.9371 | −1.09141 | ||||||||
\(405\) | −4.98571 | + | 23.4559i | −0.247742 | + | 1.16553i | ||||
\(406\) | −36.4580 | − | 40.4907i | −1.80938 | − | 2.00952i | ||||
\(407\) | −2.29233 | − | 1.02061i | −0.113626 | − | 0.0505898i | ||||
\(408\) | 4.00153i | 0.198105i | ||||||||
\(409\) | 14.7575 | − | 8.52026i | 0.729713 | − | 0.421300i | −0.0886043 | − | 0.996067i | \(-0.528241\pi\) |
0.818317 | + | 0.574767i | \(0.194907\pi\) | |||||||
\(410\) | 9.45012 | − | 21.2253i | 0.466708 | − | 1.04824i | ||||
\(411\) | 16.8179 | − | 23.1479i | 0.829567 | − | 1.14180i | ||||
\(412\) | 2.14487 | − | 20.4071i | 0.105670 | − | 1.00538i | ||||
\(413\) | 2.24066 | + | 0.476268i | 0.110256 | + | 0.0234356i | ||||
\(414\) | −68.0560 | + | 7.15298i | −3.34477 | + | 0.351550i | ||||
\(415\) | −12.0248 | − | 37.0085i | −0.590273 | − | 1.81667i | ||||
\(416\) | 9.99253 | − | 27.4514i | 0.489924 | − | 1.34592i | ||||
\(417\) | 1.28275 | + | 0.931971i | 0.0628164 | + | 0.0456388i | ||||
\(418\) | −0.324602 | + | 0.292273i | −0.0158768 | + | 0.0142956i | ||||
\(419\) | 18.7891 | + | 20.8674i | 0.917907 | + | 1.01944i | 0.999740 | + | 0.0227931i | \(0.00725589\pi\) |
−0.0818331 | + | 0.996646i | \(0.526077\pi\) | |||||||
\(420\) | 8.05594 | − | 76.6471i | 0.393089 | − | 3.74000i | ||||
\(421\) | −22.0454 | − | 7.16298i | −1.07443 | − | 0.349102i | −0.282216 | − | 0.959351i | \(-0.591070\pi\) |
−0.792210 | + | 0.610248i | \(0.791070\pi\) | |||||||
\(422\) | 9.33529 | + | 8.40553i | 0.454435 | + | 0.409175i | ||||
\(423\) | 8.75536 | − | 19.6649i | 0.425700 | − | 0.956138i | ||||
\(424\) | −0.225829 | + | 0.0733763i | −0.0109672 | + | 0.00356347i | ||||
\(425\) | 1.89904 | − | 18.0682i | 0.0921170 | − | 0.876434i | ||||
\(426\) | 38.8780 | − | 17.3096i | 1.88365 | − | 0.838654i | ||||
\(427\) | −53.2671 | + | 5.59860i | −2.57778 | + | 0.270935i | ||||
\(428\) | −17.1704 | −0.829962 | ||||||||
\(429\) | −14.5585 | − | 0.508879i | −0.702893 | − | 0.0245689i | ||||
\(430\) | −55.6533 | + | 40.4345i | −2.68384 | + | 1.94992i | ||||
\(431\) | 9.14097 | − | 8.23057i | 0.440305 | − | 0.396453i | −0.418942 | − | 0.908013i | \(-0.637599\pi\) |
0.859247 | + | 0.511560i | \(0.170932\pi\) | |||||||
\(432\) | 5.14259 | + | 1.09309i | 0.247423 | + | 0.0525914i | ||||
\(433\) | 7.39298 | + | 12.8050i | 0.355284 | + | 0.615370i | 0.987166 | − | 0.159694i | \(-0.0510509\pi\) |
−0.631883 | + | 0.775064i | \(0.717718\pi\) | |||||||
\(434\) | −11.9198 | + | 40.2574i | −0.572166 | + | 1.93242i | ||||
\(435\) | 57.3600 | − | 33.1168i | 2.75020 | − | 1.58783i | ||||
\(436\) | −23.0673 | − | 20.7699i | −1.10473 | − | 0.994699i | ||||
\(437\) | −1.15735 | − | 0.376047i | −0.0553637 | − | 0.0179887i | ||||
\(438\) | −42.4245 | − | 18.8886i | −2.02712 | − | 0.902531i | ||||
\(439\) | −7.57117 | + | 13.1136i | −0.361352 | + | 0.625880i | −0.988184 | − | 0.153275i | \(-0.951018\pi\) |
0.626831 | + | 0.779155i | \(0.284351\pi\) | |||||||
\(440\) | −3.18279 | − | 1.83758i | −0.151734 | − | 0.0876034i | ||||
\(441\) | 18.1059 | − | 13.1547i | 0.862186 | − | 0.626415i | ||||
\(442\) | −16.4239 | + | 6.63507i | −0.781207 | + | 0.315598i | ||||
\(443\) | 4.53419 | + | 3.29428i | 0.215426 | + | 0.156516i | 0.690265 | − | 0.723556i | \(-0.257494\pi\) |
−0.474839 | + | 0.880072i | \(0.657494\pi\) | |||||||
\(444\) | 1.98169 | − | 9.32311i | 0.0940467 | − | 0.442455i | ||||
\(445\) | −3.61872 | − | 34.4298i | −0.171544 | − | 1.63213i | ||||
\(446\) | 2.16622 | − | 2.40583i | 0.102574 | − | 0.113919i | ||||
\(447\) | 40.1315 | + | 13.0395i | 1.89816 | + | 0.616748i | ||||
\(448\) | 37.1778 | + | 3.90754i | 1.75648 | + | 0.184614i | ||||
\(449\) | 3.25242 | + | 15.3014i | 0.153491 | + | 0.722119i | 0.985816 | + | 0.167830i | \(0.0536761\pi\) |
−0.832325 | + | 0.554288i | \(0.812991\pi\) | |||||||
\(450\) | 55.0341 | + | 17.8817i | 2.59433 | + | 0.842949i | ||||
\(451\) | 0.515225 | − | 4.90204i | 0.0242610 | − | 0.230828i | ||||
\(452\) | 9.77220 | + | 10.8531i | 0.459646 | + | 0.510488i | ||||
\(453\) | 1.14350 | − | 5.37977i | 0.0537265 | − | 0.252763i | ||||
\(454\) | 36.1151 | − | 26.2391i | 1.69496 | − | 1.23146i | ||||
\(455\) | 44.8000 | − | 12.8446i | 2.10025 | − | 0.602163i | ||||
\(456\) | −0.183365 | − | 0.133223i | −0.00858686 | − | 0.00623872i | ||||
\(457\) | −1.06954 | − | 2.40223i | −0.0500310 | − | 0.112371i | 0.886801 | − | 0.462152i | \(-0.152923\pi\) |
−0.936832 | + | 0.349781i | \(0.886256\pi\) | |||||||
\(458\) | 1.50272 | + | 14.2974i | 0.0702174 | + | 0.668074i | ||||
\(459\) | −1.90271 | − | 3.29558i | −0.0888107 | − | 0.153825i | ||||
\(460\) | − | 74.9526i | − | 3.49469i | ||||||
\(461\) | −10.8345 | + | 24.3347i | −0.504614 | + | 1.13338i | 0.464231 | + | 0.885714i | \(0.346331\pi\) |
−0.968845 | + | 0.247667i | \(0.920336\pi\) | |||||||
\(462\) | −6.33437 | − | 29.8009i | −0.294701 | − | 1.38646i | ||||
\(463\) | 6.71376 | − | 2.18143i | 0.312015 | − | 0.101380i | −0.148824 | − | 0.988864i | \(-0.547549\pi\) |
0.460839 | + | 0.887484i | \(0.347549\pi\) | |||||||
\(464\) | 11.8028 | + | 20.4431i | 0.547932 | + | 0.949046i | ||||
\(465\) | −44.8556 | − | 24.3479i | −2.08013 | − | 1.12911i | ||||
\(466\) | 45.5541 | + | 26.3007i | 2.11025 | + | 1.21836i | ||||
\(467\) | −2.67708 | − | 8.23919i | −0.123880 | − | 0.381264i | 0.869815 | − | 0.493378i | \(-0.164238\pi\) |
−0.993695 | + | 0.112114i | \(0.964238\pi\) | |||||||
\(468\) | −5.25673 | − | 29.8182i | −0.242992 | − | 1.37835i | ||||
\(469\) | −12.6092 | + | 9.16111i | −0.582238 | + | 0.423021i | ||||
\(470\) | 38.0479 | + | 21.9669i | 1.75502 | + | 1.01326i | ||||
\(471\) | 9.52609 | − | 16.4997i | 0.438939 | − | 0.760265i | ||||
\(472\) | 0.379060 | + | 0.168768i | 0.0174476 | + | 0.00776819i | ||||
\(473\) | −8.57808 | + | 11.8067i | −0.394421 | + | 0.542873i | ||||
\(474\) | −60.4717 | − | 6.35583i | −2.77756 | − | 0.291933i | ||||
\(475\) | 0.764726 | + | 0.688562i | 0.0350880 | + | 0.0315934i | ||||
\(476\) | −11.6859 | − | 16.0842i | −0.535621 | − | 0.737219i | ||||
\(477\) | 0.876118 | − | 0.973027i | 0.0401147 | − | 0.0445519i | ||||
\(478\) | 28.8078 | + | 31.9943i | 1.31764 | + | 1.46339i | ||||
\(479\) | 9.44881 | + | 21.2224i | 0.431727 | + | 0.969675i | 0.990136 | + | 0.140109i | \(0.0447454\pi\) |
−0.558409 | + | 0.829566i | \(0.688588\pi\) | |||||||
\(480\) | −22.9512 | + | 70.6365i | −1.04757 | + | 3.22410i | ||||
\(481\) | 5.67624 | − | 1.00068i | 0.258814 | − | 0.0456271i | ||||
\(482\) | 37.7507 | + | 27.4275i | 1.71950 | + | 1.24929i | ||||
\(483\) | 63.0781 | − | 56.7958i | 2.87016 | − | 2.58430i | ||||
\(484\) | 19.3413 | + | 4.11112i | 0.879149 | + | 0.186869i | ||||
\(485\) | −42.6050 | − | 18.9690i | −1.93459 | − | 0.861337i | ||||
\(486\) | −43.7852 | + | 14.2267i | −1.98614 | + | 0.645335i | ||||
\(487\) | −28.6584 | − | 3.01212i | −1.29864 | − | 0.136492i | −0.570143 | − | 0.821545i | \(-0.693112\pi\) |
−0.728493 | + | 0.685053i | \(0.759779\pi\) | |||||||
\(488\) | −9.64861 | − | 1.01411i | −0.436772 | − | 0.0459066i | ||||
\(489\) | −3.97688 | − | 5.47370i | −0.179841 | − | 0.247529i | ||||
\(490\) | 22.8387 | + | 39.5578i | 1.03175 | + | 1.78704i | ||||
\(491\) | −14.9865 | + | 25.9575i | −0.676333 | + | 1.17144i | 0.299744 | + | 0.954020i | \(0.403099\pi\) |
−0.976077 | + | 0.217424i | \(0.930235\pi\) | |||||||
\(492\) | 18.6203 | − | 1.95707i | 0.839467 | − | 0.0882316i | ||||
\(493\) | 5.27985 | − | 16.2497i | 0.237793 | − | 0.731851i | ||||
\(494\) | 0.242757 | − | 0.973506i | 0.0109221 | − | 0.0438001i | ||||
\(495\) | 20.2654 | 0.910863 | ||||||||
\(496\) | 8.67758 | − | 15.9865i | 0.389635 | − | 0.717815i | ||||
\(497\) | −14.4421 | + | 25.0145i | −0.647818 | + | 1.12205i | ||||
\(498\) | 39.0984 | − | 43.4231i | 1.75204 | − | 1.94584i | ||||
\(499\) | 25.4502 | + | 8.26928i | 1.13931 | + | 0.370184i | 0.817106 | − | 0.576487i | \(-0.195577\pi\) |
0.322202 | + | 0.946671i | \(0.395577\pi\) | |||||||
\(500\) | −9.00241 | + | 20.2197i | −0.402600 | + | 0.904254i | ||||
\(501\) | −11.9992 | + | 6.92776i | −0.536086 | + | 0.309510i | ||||
\(502\) | 18.2122i | 0.812851i | ||||||||
\(503\) | −26.8076 | − | 11.9355i | −1.19529 | − | 0.532177i | −0.290023 | − | 0.957020i | \(-0.593663\pi\) |
−0.905267 | + | 0.424842i | \(0.860330\pi\) | |||||||
\(504\) | 7.90259 | − | 3.51846i | 0.352009 | − | 0.156725i | ||||
\(505\) | 13.7177 | + | 30.8105i | 0.610431 | + | 1.37105i | ||||
\(506\) | −9.15614 | − | 28.1797i | −0.407040 | − | 1.25274i | ||||
\(507\) | 28.3780 | − | 17.7299i | 1.26031 | − | 0.787414i | ||||
\(508\) | −4.22347 | − | 12.9985i | −0.187386 | − | 0.576716i | ||||
\(509\) | −13.2701 | + | 11.9484i | −0.588187 | + | 0.529606i | −0.908597 | − | 0.417673i | \(-0.862846\pi\) |
0.320411 | + | 0.947279i | \(0.396179\pi\) | |||||||
\(510\) | 41.1410 | − | 18.3171i | 1.82175 | − | 0.811096i | ||||
\(511\) | 30.8303 | − | 6.55318i | 1.36385 | − | 0.289896i | ||||
\(512\) | −29.2602 | − | 9.50722i | −1.29313 | − | 0.420164i | ||||
\(513\) | 0.214362 | + | 0.0225304i | 0.00946433 | + | 0.000994741i | ||||
\(514\) | 3.81476 | + | 17.9470i | 0.168262 | + | 0.791610i | ||||
\(515\) | −30.0028 | + | 9.74851i | −1.32208 | + | 0.429570i | ||||
\(516\) | −50.6421 | − | 22.5473i | −2.22939 | − | 0.992589i | ||||
\(517\) | 9.11680 | + | 1.93784i | 0.400956 | + | 0.0852259i | ||||
\(518\) | 4.90299 | + | 11.0123i | 0.215425 | + | 0.483853i | ||||
\(519\) | −18.6658 | − | 13.5615i | −0.819338 | − | 0.595284i | ||||
\(520\) | 8.42130 | − | 0.588594i | 0.369299 | − | 0.0258116i | ||||
\(521\) | 3.51340 | 0.153925 | 0.0769625 | − | 0.997034i | \(-0.475478\pi\) | ||||
0.0769625 | + | 0.997034i | \(0.475478\pi\) | |||||||
\(522\) | 47.1298 | + | 27.2104i | 2.06282 | + | 1.19097i | ||||
\(523\) | 0.848527 | + | 8.07320i | 0.0371035 | + | 0.353016i | 0.997285 | + | 0.0736391i | \(0.0234613\pi\) |
−0.960181 | + | 0.279377i | \(0.909872\pi\) | |||||||
\(524\) | 14.7944 | − | 3.14464i | 0.646296 | − | 0.137374i | ||||
\(525\) | −68.2629 | + | 22.1800i | −2.97924 | + | 0.968013i | ||||
\(526\) | −48.8488 | + | 28.2029i | −2.12991 | + | 1.22970i | ||||
\(527\) | −12.8018 | + | 3.07500i | −0.557656 | + | 0.133949i | ||||
\(528\) | 13.1995i | 0.574436i | ||||||||
\(529\) | 39.8460 | − | 44.2534i | 1.73243 | − | 1.92406i | ||||
\(530\) | 1.78814 | + | 1.98593i | 0.0776719 | + | 0.0862634i | ||||
\(531\) | −2.27547 | + | 0.239161i | −0.0987469 | + | 0.0103787i | ||||
\(532\) | 1.12609 | 0.0488224 | ||||||||
\(533\) | 5.31502 | + | 9.99689i | 0.230219 | + | 0.433013i | ||||
\(534\) | 42.0563 | − | 30.5557i | 1.81995 | − | 1.32227i | ||||
\(535\) | 10.7370 | + | 24.1157i | 0.464200 | + | 1.04261i | ||||
\(536\) | −2.57908 | + | 1.14828i | −0.111399 | + | 0.0495982i | ||||
\(537\) | 31.7652 | − | 35.2788i | 1.37077 | − | 1.52239i | ||||
\(538\) | −26.8283 | − | 36.9260i | −1.15665 | − | 1.59199i | ||||
\(539\) | 7.20135 | + | 6.48412i | 0.310184 | + | 0.279291i | ||||
\(540\) | 2.76020 | + | 12.9857i | 0.118780 | + | 0.558817i | ||||
\(541\) | 19.6765 | − | 27.0824i | 0.845959 | − | 1.16436i | −0.138779 | − | 0.990323i | \(-0.544318\pi\) |
0.984739 | − | 0.174040i | \(-0.0556822\pi\) | |||||||
\(542\) | −57.6370 | + | 12.2511i | −2.47572 | + | 0.526231i | ||||
\(543\) | −32.9477 | − | 36.5921i | −1.41392 | − | 1.57032i | ||||
\(544\) | 7.79286 | + | 17.5030i | 0.334116 | + | 0.750437i | ||||
\(545\) | −14.7467 | + | 45.3857i | −0.631680 | + | 1.94411i | ||||
\(546\) | 50.3390 | + | 48.6151i | 2.15431 | + | 2.08053i | ||||
\(547\) | −8.03579 | + | 5.83834i | −0.343585 | + | 0.249629i | −0.746173 | − | 0.665752i | \(-0.768111\pi\) |
0.402588 | + | 0.915381i | \(0.368111\pi\) | |||||||
\(548\) | −5.35370 | + | 25.1872i | −0.228699 | + | 1.07594i | ||||
\(549\) | 48.8719 | − | 21.7592i | 2.08580 | − | 0.928659i | ||||
\(550\) | −2.61901 | + | 24.9182i | −0.111675 | + | 1.06252i | ||||
\(551\) | 0.568841 | + | 0.782943i | 0.0242334 | + | 0.0333545i | ||||
\(552\) | 13.3150 | − | 7.68743i | 0.566725 | − | 0.327199i | ||||
\(553\) | 35.7401 | − | 20.6345i | 1.51982 | − | 0.877469i | ||||
\(554\) | −17.6212 | − | 24.2534i | −0.748651 | − | 1.03043i | ||||
\(555\) | −14.3334 | + | 3.04666i | −0.608420 | + | 0.129324i | ||||
\(556\) | −1.39576 | − | 0.296677i | −0.0591932 | − | 0.0125819i | ||||
\(557\) | −1.09198 | − | 0.630453i | −0.0462685 | − | 0.0267132i | 0.476687 | − | 0.879073i | \(-0.341837\pi\) |
−0.522956 | + | 0.852360i | \(0.675171\pi\) | |||||||
\(558\) | −1.10254 | − | 41.9206i | −0.0466744 | − | 1.77464i | ||||
\(559\) | 1.17102 | − | 33.5017i | 0.0495287 | − | 1.41697i | ||||
\(560\) | −13.0494 | − | 40.1618i | −0.551436 | − | 1.69715i | ||||
\(561\) | 7.09996 | − | 6.39284i | 0.299761 | − | 0.269906i | ||||
\(562\) | −4.08244 | − | 38.8419i | −0.172207 | − | 1.63844i | ||||
\(563\) | −17.0693 | − | 29.5649i | −0.719386 | − | 1.24601i | −0.961243 | − | 0.275702i | \(-0.911090\pi\) |
0.241857 | − | 0.970312i | \(-0.422244\pi\) | |||||||
\(564\) | 35.4036i | 1.49076i | ||||||||
\(565\) | 9.13238 | − | 20.5117i | 0.384202 | − | 0.862932i | ||||
\(566\) | −19.9630 | − | 2.09819i | −0.839107 | − | 0.0881937i | ||||
\(567\) | 14.3650 | − | 19.7718i | 0.603275 | − | 0.830336i | ||||
\(568\) | −3.50088 | + | 3.88812i | −0.146894 | + | 0.163142i | ||||
\(569\) | −1.11906 | − | 10.6472i | −0.0469136 | − | 0.446353i | −0.992614 | − | 0.121314i | \(-0.961289\pi\) |
0.945701 | − | 0.325039i | \(-0.105378\pi\) | |||||||
\(570\) | −0.530342 | + | 2.49506i | −0.0222136 | + | 0.104507i | ||||
\(571\) | −7.95251 | + | 24.4753i | −0.332802 | + | 1.02426i | 0.634993 | + | 0.772518i | \(0.281003\pi\) |
−0.967795 | + | 0.251741i | \(0.918997\pi\) | |||||||
\(572\) | 12.1556 | − | 4.91071i | 0.508251 | − | 0.205327i | ||||
\(573\) | 14.8681 | − | 45.7593i | 0.621124 | − | 1.91162i | ||||
\(574\) | −17.5969 | + | 15.8444i | −0.734482 | + | 0.661330i | ||||
\(575\) | −63.7697 | + | 28.3921i | −2.65938 | + | 1.18403i | ||||
\(576\) | −36.5222 | + | 7.76304i | −1.52176 | + | 0.323460i | ||||
\(577\) | −6.87640 | + | 2.23428i | −0.286268 | + | 0.0930142i | −0.448631 | − | 0.893717i | \(-0.648088\pi\) |
0.162363 | + | 0.986731i | \(0.448088\pi\) | |||||||
\(578\) | −9.64047 | + | 21.6528i | −0.400991 | + | 0.900639i | ||||
\(579\) | 13.9729 | + | 12.5813i | 0.580695 | + | 0.522860i | ||||
\(580\) | −35.0363 | + | 48.2234i | −1.45480 | + | 2.00237i | ||||
\(581\) | −4.14543 | + | 39.4411i | −0.171981 | + | 1.63629i | ||||
\(582\) | −7.32011 | − | 69.6462i | −0.303428 | − | 2.88693i | ||||
\(583\) | 0.490976 | + | 0.283465i | 0.0203341 | + | 0.0117399i | ||||
\(584\) | 5.70924 | 0.236250 | ||||||||
\(585\) | −38.5922 | + | 26.0289i | −1.59559 | + | 1.07616i | ||||
\(586\) | −1.32857 | + | 4.08890i | −0.0548825 | + | 0.168911i | ||||
\(587\) | −4.60512 | + | 21.6654i | −0.190073 | + | 0.894225i | 0.774942 | + | 0.632032i | \(0.217779\pi\) |
−0.965015 | + | 0.262193i | \(0.915554\pi\) | |||||||
\(588\) | −18.4043 | + | 31.8772i | −0.758982 | + | 1.31459i | ||||
\(589\) | 0.285301 | − | 0.689002i | 0.0117556 | − | 0.0283898i | ||||
\(590\) | − | 4.66977i | − | 0.192251i | ||||||
\(591\) | 19.7938 | + | 17.8224i | 0.814209 | + | 0.733117i | ||||
\(592\) | −1.08583 | − | 5.10842i | −0.0446272 | − | 0.209955i | ||||
\(593\) | −4.22855 | − | 5.82010i | −0.173646 | − | 0.239003i | 0.713320 | − | 0.700839i | \(-0.247191\pi\) |
−0.886965 | + | 0.461836i | \(0.847191\pi\) | |||||||
\(594\) | 2.62407 | + | 4.54502i | 0.107667 | + | 0.186484i | ||||
\(595\) | −15.2827 | + | 26.4705i | −0.626531 | + | 1.08518i | ||||
\(596\) | −37.7672 | + | 3.96949i | −1.54701 | + | 0.162597i | ||||
\(597\) | 7.29726 | + | 5.30177i | 0.298657 | + | 0.216987i | ||||
\(598\) | 53.6304 | + | 41.9035i | 2.19311 | + | 1.71356i | ||||
\(599\) | 6.52280 | + | 20.0751i | 0.266514 | + | 0.820247i | 0.991341 | + | 0.131315i | \(0.0419200\pi\) |
−0.724826 | + | 0.688932i | \(0.758080\pi\) | |||||||
\(600\) | −12.9300 | + | 1.35900i | −0.527865 | + | 0.0554808i | ||||
\(601\) | −34.6397 | − | 7.36289i | −1.41298 | − | 0.300338i | −0.562697 | − | 0.826663i | \(-0.690236\pi\) |
−0.850284 | + | 0.526325i | \(0.823570\pi\) | |||||||
\(602\) | 68.5768 | − | 14.5764i | 2.79498 | − | 0.594092i | ||||
\(603\) | 9.15023 | − | 12.5942i | 0.372626 | − | 0.512876i | ||||
\(604\) | 1.02910 | + | 4.84155i | 0.0418736 | + | 0.197000i | ||||
\(605\) | −6.32046 | − | 29.7354i | −0.256963 | − | 1.20892i | ||||
\(606\) | −29.7674 | + | 40.9713i | −1.20922 | + | 1.66434i | ||||
\(607\) | 34.3810 | − | 7.30790i | 1.39548 | − | 0.296618i | 0.552029 | − | 0.833825i | \(-0.313854\pi\) |
0.843451 | + | 0.537206i | \(0.180520\pi\) | |||||||
\(608\) | −1.06150 | − | 0.225629i | −0.0430496 | − | 0.00915047i | ||||
\(609\) | −67.1325 | + | 7.05591i | −2.72035 | + | 0.285920i | ||||
\(610\) | 33.7404 | + | 103.842i | 1.36611 | + | 4.20445i | ||||
\(611\) | −19.8504 | + | 8.01933i | −0.803062 | + | 0.324427i | ||||
\(612\) | 16.0651 | + | 11.6720i | 0.649394 | + | 0.471812i | ||||
\(613\) | −19.9616 | + | 2.09805i | −0.806240 | + | 0.0847393i | −0.498677 | − | 0.866788i | \(-0.666180\pi\) |
−0.307564 | + | 0.951527i | \(0.599514\pi\) | |||||||
\(614\) | 32.2704 | − | 55.8940i | 1.30233 | − | 2.25570i | ||||
\(615\) | −14.3923 | − | 24.9282i | −0.580355 | − | 1.00520i | ||||
\(616\) | 2.20159 | + | 3.03022i | 0.0887044 | + | 0.122091i | ||||
\(617\) | −7.79648 | − | 36.6795i | −0.313874 | − | 1.47666i | −0.798528 | − | 0.601957i | \(-0.794388\pi\) |
0.484654 | − | 0.874706i | \(-0.338945\pi\) | |||||||
\(618\) | −35.2032 | − | 31.6971i | −1.41608 | − | 1.27504i | ||||
\(619\) | − | 8.32366i | − | 0.334556i | −0.985910 | − | 0.167278i | \(-0.946502\pi\) | ||
0.985910 | − | 0.167278i | \(-0.0534978\pi\) | |||||||
\(620\) | 45.7905 | + | 3.59850i | 1.83899 | + | 0.144519i | ||||
\(621\) | −7.31065 | + | 12.6624i | −0.293366 | + | 0.508125i | ||||
\(622\) | 5.59791 | − | 26.3361i | 0.224456 | − | 1.05598i | ||||
\(623\) | −10.9029 | + | 33.5557i | −0.436816 | + | 1.34438i | ||||
\(624\) | −16.9535 | − | 25.1364i | −0.678682 | − | 1.00626i | ||||
\(625\) | −4.38695 | −0.175478 | ||||||||
\(626\) | 7.23532 | + | 4.17731i | 0.289181 | + | 0.166959i | ||||
\(627\) | 0.0565653 | + | 0.538183i | 0.00225900 | + | 0.0214929i | ||||
\(628\) | −1.79226 | + | 17.0522i | −0.0715188 | + | 0.680456i | ||||
\(629\) | −2.22190 | + | 3.05818i | −0.0885930 | + | 0.121938i | ||||
\(630\) | −72.3487 | − | 65.1430i | −2.88244 | − | 2.59536i | ||||
\(631\) | 1.11655 | − | 2.50781i | 0.0444491 | − | 0.0998342i | −0.889956 | − | 0.456046i | \(-0.849265\pi\) |
0.934405 | + | 0.356212i | \(0.115932\pi\) | |||||||
\(632\) | 7.10946 | − | 2.31000i | 0.282799 | − | 0.0918870i | ||||
\(633\) | 15.2228 | − | 3.23571i | 0.605054 | − | 0.128608i | ||||
\(634\) | −17.4732 | + | 7.77957i | −0.693949 | + | 0.308966i | ||||
\(635\) | −15.6153 | + | 14.0601i | −0.619674 | + | 0.557957i | ||||
\(636\) | −0.665459 | + | 2.04807i | −0.0263872 | + | 0.0812113i | ||||
\(637\) | −22.0420 | − | 3.09855i | −0.873336 | − | 0.122769i | ||||
\(638\) | −7.28157 | + | 22.4104i | −0.288280 | + | 0.887236i | ||||
\(639\) | 5.99824 | − | 28.2195i | 0.237287 | − | 1.11635i | ||||
\(640\) | −1.93339 | − | 18.3950i | −0.0764240 | − | 0.727126i | ||||
\(641\) | −2.06461 | + | 2.29299i | −0.0815474 | + | 0.0905675i | −0.782538 | − | 0.622603i | \(-0.786075\pi\) |
0.700990 | + | 0.713171i | \(0.252742\pi\) | |||||||
\(642\) | −23.2992 | + | 32.0686i | −0.919545 | + | 1.26565i | ||||
\(643\) | −36.2363 | − | 3.80858i | −1.42902 | − | 0.150196i | −0.641801 | − | 0.766871i | \(-0.721812\pi\) |
−0.787217 | + | 0.616675i | \(0.788479\pi\) | |||||||
\(644\) | −31.0699 | + | 69.7842i | −1.22433 | + | 2.74988i | ||||
\(645\) | 85.2256i | 3.35576i | ||||||||
\(646\) | 0.329009 | + | 0.569860i | 0.0129447 | + | 0.0224208i | ||||
\(647\) | 3.59523 | + | 34.2063i | 0.141343 | + | 1.34479i | 0.803446 | + | 0.595377i | \(0.202997\pi\) |
−0.662103 | + | 0.749413i | \(0.730336\pi\) | |||||||
\(648\) | 3.28978 | − | 2.96213i | 0.129235 | − | 0.116364i | ||||
\(649\) | −0.306137 | − | 0.942193i | −0.0120169 | − | 0.0369843i | ||||
\(650\) | −27.0175 | − | 50.8166i | −1.05971 | − | 1.99319i | ||||
\(651\) | 31.6696 | + | 41.2629i | 1.24123 | + | 1.61722i | ||||
\(652\) | 5.27321 | + | 3.04449i | 0.206515 | + | 0.119231i | ||||
\(653\) | 5.75005 | + | 1.22221i | 0.225017 | + | 0.0478288i | 0.319040 | − | 0.947741i | \(-0.396640\pi\) |
−0.0940234 | + | 0.995570i | \(0.529973\pi\) | |||||||
\(654\) | −70.0923 | + | 14.8986i | −2.74083 | + | 0.582580i | ||||
\(655\) | −13.6679 | − | 18.8122i | −0.534047 | − | 0.735053i | ||||
\(656\) | 8.88440 | − | 5.12941i | 0.346878 | − | 0.200270i | ||||
\(657\) | −27.2639 | + | 15.7408i | −1.06367 | + | 0.614108i | ||||
\(658\) | −26.3183 | − | 36.2241i | −1.02599 | − | 1.41216i | ||||
\(659\) | −4.59094 | + | 43.6799i | −0.178838 | + | 1.70153i | 0.425629 | + | 0.904898i | \(0.360053\pi\) |
−0.604467 | + | 0.796630i | \(0.706614\pi\) | |||||||
\(660\) | −30.4490 | + | 13.5568i | −1.18523 | + | 0.527697i | ||||
\(661\) | 2.90659 | − | 13.6744i | 0.113053 | − | 0.531874i | −0.884776 | − | 0.466017i | \(-0.845689\pi\) |
0.997829 | − | 0.0658569i | \(-0.0209781\pi\) | |||||||
\(662\) | −0.553583 | + | 0.402202i | −0.0215156 | + | 0.0156320i | ||||
\(663\) | −5.30977 | + | 21.2933i | −0.206214 | + | 0.826964i | ||||
\(664\) | −2.21984 | + | 6.83198i | −0.0861467 | + | 0.265132i | ||||
\(665\) | −0.704170 | − | 1.58159i | −0.0273065 | − | 0.0613315i | ||||
\(666\) | −8.05643 | − | 8.94758i | −0.312180 | − | 0.346712i | ||||
\(667\) | −64.2138 | + | 13.6491i | −2.48637 | + | 0.528494i | ||||
\(668\) | 7.32930 | − | 10.0879i | 0.283579 | − | 0.390313i | ||||
\(669\) | −0.833888 | − | 3.92314i | −0.0322400 | − | 0.151677i | ||||
\(670\) | 23.6116 | + | 21.2600i | 0.912197 | + | 0.821346i | ||||
\(671\) | 13.6152 | + | 18.7398i | 0.525610 | + | 0.723441i | ||||
\(672\) | 50.6493 | − | 56.2517i | 1.95384 | − | 2.16996i | ||||
\(673\) | −46.2609 | + | 20.5967i | −1.78323 | + | 0.793943i | −0.803022 | + | 0.595949i | \(0.796776\pi\) |
−0.980203 | + | 0.197994i | \(0.936557\pi\) | |||||||
\(674\) | 8.42294 | + | 18.9182i | 0.324439 | + | 0.728703i | ||||
\(675\) | 10.0027 | − | 7.26738i | 0.385004 | − | 0.279721i | ||||
\(676\) | −16.8410 | + | 24.9643i | −0.647732 | + | 0.960165i | ||||
\(677\) | 14.2883 | 0.549145 | 0.274572 | − | 0.961566i | \(-0.411464\pi\) | ||||
0.274572 | + | 0.961566i | \(0.411464\pi\) | |||||||
\(678\) | 33.5303 | − | 3.52418i | 1.28772 | − | 0.135345i | ||||
\(679\) | 31.8039 | + | 35.3219i | 1.22052 | + | 1.35553i | ||||
\(680\) | −3.70465 | + | 4.11444i | −0.142067 | + | 0.157781i | ||||
\(681\) | − | 55.3055i | − | 2.11931i | ||||||
\(682\) | 17.6553 | − | 4.24080i | 0.676056 | − | 0.162389i | ||||
\(683\) | 29.6739 | − | 17.1322i | 1.13544 | − | 0.655547i | 0.190143 | − | 0.981756i | \(-0.439105\pi\) |
0.945297 | + | 0.326210i | \(0.105772\pi\) | |||||||
\(684\) | −1.06971 | + | 0.347569i | −0.0409013 | + | 0.0132896i | ||||
\(685\) | 38.7229 | − | 8.23081i | 1.47953 | − | 0.314483i | ||||
\(686\) | 0.651494 | + | 6.19855i | 0.0248742 | + | 0.236662i | ||||
\(687\) | 15.4245 | + | 8.90533i | 0.588481 | + | 0.339759i | ||||
\(688\) | −30.3743 | −1.15801 | ||||||||
\(689\) | −1.29907 | + | 0.0907962i | −0.0494905 | + | 0.00345906i | ||||
\(690\) | −139.987 | − | 101.706i | −5.32920 | − | 3.87189i | ||||
\(691\) | −10.9511 | − | 24.5966i | −0.416601 | − | 0.935700i | −0.992954 | − | 0.118500i | \(-0.962191\pi\) |
0.576353 | − | 0.817201i | \(-0.304475\pi\) | |||||||
\(692\) | 20.3102 | + | 4.31707i | 0.772079 | + | 0.164110i | ||||
\(693\) | −18.8680 | − | 8.40057i | −0.716736 | − | 0.319111i | ||||
\(694\) | 10.6921 | − | 3.47407i | 0.405866 | − | 0.131874i | ||||
\(695\) | 0.456113 | + | 2.14584i | 0.0173014 | + | 0.0813965i | ||||
\(696\) | −12.1601 | − | 1.27808i | −0.460929 | − | 0.0484456i | ||||
\(697\) | −7.06201 | − | 2.29458i | −0.267493 | − | 0.0869136i | ||||
\(698\) | 30.5722 | − | 6.49833i | 1.15718 | − | 0.245965i | ||||
\(699\) | 59.5339 | − | 26.5062i | 2.25178 | − | 1.00256i | ||||
\(700\) | 48.0035 | − | 43.2226i | 1.81436 | − | 1.63366i | ||||
\(701\) | −7.02514 | − | 21.6212i | −0.265336 | − | 0.816620i | −0.991616 | − | 0.129221i | \(-0.958752\pi\) |
0.726280 | − | 0.687399i | \(-0.241248\pi\) | |||||||
\(702\) | −10.8347 | − | 5.28490i | −0.408931 | − | 0.199466i | ||||
\(703\) | −0.0661639 | − | 0.203632i | −0.00249542 | − | 0.00768011i | ||||
\(704\) | −6.57573 | − | 14.7693i | −0.247832 | − | 0.556640i | ||||
\(705\) | 49.7241 | − | 22.1386i | 1.87272 | − | 0.833788i | ||||
\(706\) | 58.6687 | + | 26.1210i | 2.20803 | + | 0.983077i | ||||
\(707\) | − | 34.3723i | − | 1.29270i | ||||||
\(708\) | 3.25892 | − | 1.88154i | 0.122478 | − | 0.0707126i | ||||
\(709\) | 2.18898 | − | 4.91652i | 0.0822087 | − | 0.184644i | −0.867764 | − | 0.496976i | \(-0.834444\pi\) |
0.949973 | + | 0.312332i | \(0.101110\pi\) | |||||||
\(710\) | 56.0003 | + | 18.1956i | 2.10166 | + | 0.682869i | ||||
\(711\) | −27.5816 | + | 30.6325i | −1.03439 | + | 1.14881i | ||||
\(712\) | −3.19548 | + | 5.53473i | −0.119756 | + | 0.207423i | ||||
\(713\) | 34.8258 | + | 36.6903i | 1.30424 | + | 1.37406i | ||||
\(714\) | −45.8970 | −1.71765 | ||||||||
\(715\) | −14.4982 | − | 14.0017i | −0.542201 | − | 0.523633i | ||||
\(716\) | −13.2021 | + | 40.6320i | −0.493387 | + | 1.51849i | ||||
\(717\) | 53.0458 | − | 5.57534i | 1.98103 | − | 0.208215i | ||||
\(718\) | −8.70743 | + | 15.0817i | −0.324958 | + | 0.562844i | ||||
\(719\) | 3.73771 | + | 6.47390i | 0.139393 | + | 0.241436i | 0.927267 | − | 0.374401i | \(-0.122152\pi\) |
−0.787874 | + | 0.615836i | \(0.788818\pi\) | |||||||
\(720\) | 24.7919 | + | 34.1231i | 0.923940 | + | 1.27169i | ||||
\(721\) | 31.9749 | + | 3.36070i | 1.19081 | + | 0.125159i | ||||
\(722\) | 39.2212 | + | 4.12231i | 1.45966 | + | 0.153417i | ||||
\(723\) | 54.9807 | − | 17.8643i | 2.04476 | − | 0.664381i | ||||
\(724\) | 40.4823 | + | 18.0239i | 1.50451 | + | 0.669853i | ||||
\(725\) | 54.3002 | + | 11.5419i | 2.01666 | + | 0.428654i | ||||
\(726\) | 33.9231 | − | 30.5445i | 1.25901 | − | 1.13361i | ||||
\(727\) | 35.2859 | + | 25.6367i | 1.30868 | + | 0.950814i | 1.00000 | 0.000350954i | \(-0.000111712\pi\) | |
0.308683 | + | 0.951165i | \(0.400112\pi\) | |||||||
\(728\) | −8.08458 | − | 2.94285i | −0.299635 | − | 0.109069i | ||||
\(729\) | −11.3832 | + | 35.0339i | −0.421600 | + | 1.29755i | ||||
\(730\) | −26.1342 | − | 58.6984i | −0.967271 | − | 2.17253i | ||||
\(731\) | 14.7110 | + | 16.3382i | 0.544106 | + | 0.604290i | ||||
\(732\) | −58.8745 | + | 65.3867i | −2.17606 | + | 2.41676i | ||||
\(733\) | 7.56583 | + | 10.4135i | 0.279450 | + | 0.384630i | 0.925552 | − | 0.378621i | \(-0.123602\pi\) |
−0.646101 | + | 0.763252i | \(0.723602\pi\) | |||||||
\(734\) | −30.4079 | − | 27.3794i | −1.12238 | − | 1.01059i | ||||
\(735\) | 56.2799 | + | 5.91526i | 2.07592 | + | 0.218188i | ||||
\(736\) | 43.2700 | − | 59.5560i | 1.59495 | − | 2.19526i | ||||
\(737\) | 6.15774 | + | 2.74160i | 0.226823 | + | 0.100988i | ||||
\(738\) | 11.8254 | − | 20.4823i | 0.435301 | − | 0.753963i | ||||
\(739\) | −6.28800 | − | 3.63038i | −0.231308 | − | 0.133546i | 0.379867 | − | 0.925041i | \(-0.375970\pi\) |
−0.611175 | + | 0.791495i | \(0.709303\pi\) | |||||||
\(740\) | 10.6690 | − | 7.75149i | 0.392201 | − | 0.284950i | ||||
\(741\) | −0.798961 | − | 0.952229i | −0.0293506 | − | 0.0349810i | ||||
\(742\) | −0.841614 | − | 2.59022i | −0.0308966 | − | 0.0950900i | ||||
\(743\) | −21.4491 | − | 12.3836i | −0.786892 | − | 0.454312i | 0.0519755 | − | 0.998648i | \(-0.483448\pi\) |
−0.838867 | + | 0.544336i | \(0.816782\pi\) | |||||||
\(744\) | 4.05719 | + | 8.50356i | 0.148744 | + | 0.311756i | ||||
\(745\) | 29.1917 | + | 50.5615i | 1.06950 | + | 1.85243i | ||||
\(746\) | −33.3297 | + | 10.8295i | −1.22029 | + | 0.396496i | ||||
\(747\) | −8.23564 | − | 38.7457i | −0.301326 | − | 1.41763i | ||||
\(748\) | −3.49717 | + | 7.85478i | −0.127869 | + | 0.287199i | ||||
\(749\) | − | 26.9035i | − | 0.983033i | ||||||
\(750\) | 25.5480 | + | 44.2504i | 0.932881 | + | 1.61580i | ||||
\(751\) | −1.11328 | − | 10.5922i | −0.0406243 | − | 0.386514i | −0.995876 | − | 0.0907212i | \(-0.971083\pi\) |
0.955252 | − | 0.295793i | \(-0.0955839\pi\) | |||||||
\(752\) | 7.89018 | + | 17.7216i | 0.287725 | + | 0.646241i | ||||
\(753\) | 18.2540 | + | 13.2623i | 0.665212 | + | 0.483305i | ||||
\(754\) | −14.9173 | − | 52.0294i | −0.543257 | − | 1.89480i | ||||
\(755\) | 6.15640 | − | 4.47289i | 0.224054 | − | 0.162785i | ||||
\(756\) | 2.81307 | − | 13.2345i | 0.102310 | − | 0.481333i | ||||
\(757\) | −27.6989 | − | 30.7627i | −1.00673 | − | 1.11809i | −0.992992 | − | 0.118184i | \(-0.962293\pi\) |
−0.0137411 | − | 0.999906i | \(-0.504374\pi\) | |||||||
\(758\) | 2.08021 | − | 19.7919i | 0.0755565 | − | 0.718872i | ||||
\(759\) | −34.9119 | − | 11.3436i | −1.26722 | − | 0.411745i | ||||
\(760\) | −0.0652001 | − | 0.306742i | −0.00236506 | − | 0.0111267i | ||||
\(761\) | −25.1871 | − | 2.64727i | −0.913030 | − | 0.0959633i | −0.363650 | − | 0.931536i | \(-0.618470\pi\) |
−0.549380 | + | 0.835572i | \(0.685136\pi\) | |||||||
\(762\) | −30.0079 | − | 9.75015i | −1.08707 | − | 0.353211i | ||||
\(763\) | 32.5435 | − | 36.1432i | 1.17815 | − | 1.30847i | ||||
\(764\) | 4.52615 | + | 43.0635i | 0.163750 | + | 1.55798i | ||||
\(765\) | 6.34738 | − | 29.8621i | 0.229490 | − | 1.07966i | ||||
\(766\) | −14.9268 | − | 10.8450i | −0.539327 | − | 0.391844i | ||||
\(767\) | 1.79314 | + | 1.40105i | 0.0647466 | + | 0.0505891i | ||||
\(768\) | −20.4254 | + | 14.8399i | −0.737038 | + | 0.535489i | ||||
\(769\) | −14.5049 | − | 8.37438i | −0.523059 | − | 0.301988i | 0.215127 | − | 0.976586i | \(-0.430984\pi\) |
−0.738185 | + | 0.674598i | \(0.764317\pi\) | |||||||
\(770\) | 21.0768 | − | 36.5061i | 0.759555 | − | 1.31559i | ||||
\(771\) | 20.7661 | + | 9.24568i | 0.747874 | + | 0.332975i | ||||
\(772\) | −16.0932 | − | 5.22899i | −0.579206 | − | 0.188195i | ||||
\(773\) | 17.4309 | + | 15.6948i | 0.626945 | + | 0.564504i | 0.920160 | − | 0.391543i | \(-0.128059\pi\) |
−0.293215 | + | 0.956047i | \(0.594725\pi\) | |||||||
\(774\) | −60.6439 | + | 35.0128i | −2.17980 | + | 1.25851i | ||||
\(775\) | −14.2838 | − | 40.3216i | −0.513091 | − | 1.44840i | ||||
\(776\) | 4.30473 | + | 7.45601i | 0.154531 | + | 0.267655i | ||||
\(777\) | 14.6080 | + | 3.10502i | 0.524058 | + | 0.111392i | ||||
\(778\) | −7.35769 | + | 6.62489i | −0.263786 | + | 0.237514i | ||||
\(779\) | 0.340261 | − | 0.247214i | 0.0121911 | − | 0.00885736i | ||||
\(780\) | 40.5729 | − | 64.9254i | 1.45274 | − | 2.32470i | ||||
\(781\) | 12.4917 | 0.446989 | ||||||||
\(782\) | −44.3919 | + | 4.66578i | −1.58745 | + | 0.166848i | ||||
\(783\) | 10.6226 | − | 4.72947i | 0.379619 | − | 0.169017i | ||||
\(784\) | −2.10819 | + | 20.0581i | −0.0752926 | + | 0.716361i | ||||
\(785\) | 25.0704 | − | 8.14586i | 0.894801 | − | 0.290738i | ||||
\(786\) | 14.2019 | − | 31.8981i | 0.506566 | − | 1.13777i | ||||
\(787\) | −11.2862 | − | 10.1622i | −0.402311 | − | 0.362242i | 0.442996 | − | 0.896524i | \(-0.353916\pi\) |
−0.845307 | + | 0.534281i | \(0.820582\pi\) | |||||||
\(788\) | −22.7973 | − | 7.40730i | −0.812121 | − | 0.263874i | ||||
\(789\) | −7.30458 | + | 69.4984i | −0.260050 | + | 2.47421i | ||||
\(790\) | −56.2936 | − | 62.5203i | −2.00283 | − | 2.22437i | ||||
\(791\) | −17.0053 | + | 15.3116i | −0.604638 | + | 0.544419i | ||||
\(792\) | −3.02663 | − | 2.19897i | −0.107546 | − | 0.0781371i | ||||
\(793\) | −49.9974 | − | 18.1994i | −1.77546 | − | 0.646281i | ||||
\(794\) | −19.7022 | − | 60.6370i | −0.699203 | − | 2.15193i | ||||
\(795\) | 3.29263 | − | 0.346069i | 0.116777 | − | 0.0122738i | ||||
\(796\) | −7.94013 | − | 1.68773i | −0.281430 | − | 0.0598199i | ||||
\(797\) | 3.24953 | − | 30.9172i | 0.115104 | − | 1.09514i | −0.772652 | − | 0.634830i | \(-0.781070\pi\) |
0.887756 | − | 0.460314i | \(-0.152263\pi\) | |||||||
\(798\) | 1.52804 | − | 2.10317i | 0.0540921 | − | 0.0744514i | ||||
\(799\) | 5.71098 | − | 12.8271i | 0.202040 | − | 0.453789i | ||||
\(800\) | −53.9103 | + | 31.1251i | −1.90602 | + | 1.10044i | ||||
\(801\) | − | 35.2407i | − | 1.24517i | ||||||
\(802\) | −7.60229 | − | 3.38476i | −0.268446 | − | 0.119520i | ||||
\(803\) | −9.12107 | − | 10.1300i | −0.321875 | − | 0.357479i | ||||
\(804\) | −5.32328 | + | 25.0441i | −0.187738 | + | 0.883236i | ||||
\(805\) | 117.440 | 4.13921 | ||||||||
\(806\) | −28.1748 | + | 30.7524i | −0.992413 | + | 1.08321i | ||||
\(807\) | −56.5472 | −1.99056 | ||||||||
\(808\) | 1.29447 | − | 6.09002i | 0.0455394 | − | 0.214246i | ||||
\(809\) | −5.01497 | − | 5.56969i | −0.176317 | − | 0.195820i | 0.648508 | − | 0.761208i | \(-0.275393\pi\) |
−0.824825 | + | 0.565388i | \(0.808727\pi\) | |||||||
\(810\) | −45.5136 | − | 20.2640i | −1.59919 | − | 0.712003i | ||||
\(811\) | − | 27.4473i | − | 0.963804i | −0.876225 | − | 0.481902i | \(-0.839946\pi\) | ||
0.876225 | − | 0.481902i | \(-0.160054\pi\) | |||||||
\(812\) | 52.6102 | − | 30.3745i | 1.84626 | − | 1.06594i | ||||
\(813\) | −29.6925 | + | 66.6905i | −1.04136 | + | 2.33894i | ||||
\(814\) | 3.06428 | − | 4.21762i | 0.107403 | − | 0.147827i | ||||
\(815\) | 0.978517 | − | 9.30997i | 0.0342759 | − | 0.326114i | ||||
\(816\) | 19.4501 | + | 4.13425i | 0.680891 | + | 0.144728i | ||||
\(817\) | −1.23845 | + | 0.130166i | −0.0433278 | + | 0.00455394i | ||||
\(818\) | 10.9403 | + | 33.6707i | 0.382518 | + | 1.17727i | ||||
\(819\) | 46.7207 | − | 8.23653i | 1.63255 | − | 0.287808i | ||||
\(820\) | 20.9575 | + | 15.2265i | 0.731868 | + | 0.531733i | ||||
\(821\) | 18.4328 | − | 16.5970i | 0.643310 | − | 0.579239i | −0.281550 | − | 0.959546i | \(-0.590849\pi\) |
0.924860 | + | 0.380308i | \(0.124182\pi\) | |||||||
\(822\) | 39.7766 | + | 44.1764i | 1.38737 | + | 1.54083i | ||||
\(823\) | −3.84819 | + | 36.6131i | −0.134140 | + | 1.27625i | 0.695733 | + | 0.718300i | \(0.255079\pi\) |
−0.829873 | + | 0.557952i | \(0.811587\pi\) | |||||||
\(824\) | 5.53869 | + | 1.79963i | 0.192949 | + | 0.0626931i | ||||
\(825\) | 23.0682 | + | 20.7707i | 0.803131 | + | 0.723143i | ||||
\(826\) | −1.93575 | + | 4.34776i | −0.0673532 | + | 0.151278i | ||||
\(827\) | 7.98023 | − | 2.59293i | 0.277500 | − | 0.0901651i | −0.166961 | − | 0.985964i | \(-0.553395\pi\) |
0.444461 | + | 0.895798i | \(0.353395\pi\) | |||||||
\(828\) | 7.97527 | − | 75.8796i | 0.277160 | − | 2.63700i | ||||
\(829\) | −49.7614 | + | 22.1552i | −1.72828 | + | 0.769481i | −0.732197 | + | 0.681092i | \(0.761505\pi\) |
−0.996086 | + | 0.0883889i | \(0.971828\pi\) | |||||||
\(830\) | 80.4030 | − | 8.45069i | 2.79083 | − | 0.293328i | ||||
\(831\) | −37.1409 | −1.28841 | ||||||||
\(832\) | 31.4921 | + | 19.6799i | 1.09179 | + | 0.682279i | ||||
\(833\) | 11.8102 | − | 8.58062i | 0.409199 | − | 0.297301i | ||||
\(834\) | −2.44805 | + | 2.20423i | −0.0847690 | + | 0.0763263i | ||||
\(835\) | −18.7516 | − | 3.98577i | −0.648925 | − | 0.137933i | ||||
\(836\) | −0.243504 | − | 0.421762i | −0.00842177 | − | 0.0145869i | ||||
\(837\) | −7.38481 | − | 5.07419i | −0.255256 | − | 0.175390i | ||||
\(838\) | −50.5229 | + | 29.1694i | −1.74529 | + | 1.00764i | ||||
\(839\) | −10.9826 | − | 9.88882i | −0.379163 | − | 0.341400i | 0.457409 | − | 0.889256i | \(-0.348777\pi\) |
−0.836572 | + | 0.547856i | \(0.815444\pi\) | |||||||
\(840\) | 20.8028 | + | 6.75924i | 0.717765 | + | 0.233216i | ||||
\(841\) | 21.2016 | + | 9.43954i | 0.731088 | + | 0.325502i | ||||
\(842\) | 24.0793 | − | 41.7066i | 0.829828 | − | 1.43731i | ||||
\(843\) | −41.9038 | − | 24.1932i | −1.44324 | − | 0.833257i | ||||
\(844\) | −11.3310 | + | 8.23249i | −0.390031 | + | 0.283374i | ||||
\(845\) | 45.5932 | + | 8.04243i | 1.56845 | + | 0.276668i | ||||
\(846\) | 36.1810 | + | 26.2871i | 1.24393 | + | 0.903768i | ||||
\(847\) | −6.44152 | + | 30.3050i | −0.221333 | + | 1.04129i | ||||
\(848\) | 0.123339 | + | 1.17349i | 0.00423547 | + | 0.0402978i | ||||
\(849\) | −16.6402 | + | 18.4808i | −0.571091 | + | 0.634261i | ||||
\(850\) | 35.8979 | + | 11.6639i | 1.23129 | + | 0.400069i | ||||
\(851\) | 14.4446 | + | 1.51819i | 0.495154 | + | 0.0520428i | ||||
\(852\) | 9.86532 | + | 46.4127i | 0.337980 | + | 1.59007i | ||||
\(853\) | −8.17878 | − | 2.65745i | −0.280036 | − | 0.0909892i | 0.165632 | − | 0.986188i | \(-0.447034\pi\) |
−0.445668 | + | 0.895198i | \(0.647034\pi\) | |||||||
\(854\) | 11.6317 | − | 110.668i | 0.398028 | − | 3.78698i | ||||
\(855\) | 1.15707 | + | 1.28505i | 0.0395709 | + | 0.0439479i | ||||
\(856\) | 1.01320 | − | 4.76671i | 0.0346303 | − | 0.162923i | ||||
\(857\) | 31.6381 | − | 22.9864i | 1.08074 | − | 0.785200i | 0.102925 | − | 0.994689i | \(-0.467180\pi\) |
0.977811 | + | 0.209489i | \(0.0671800\pi\) | |||||||
\(858\) | 7.32283 | − | 29.3661i | 0.249997 | − | 1.00254i | ||||
\(859\) | 29.8354 | + | 21.6767i | 1.01797 | + | 0.739599i | 0.965866 | − | 0.259042i | \(-0.0834069\pi\) |
0.0521053 | + | 0.998642i | \(0.483407\pi\) | |||||||
\(860\) | −31.1964 | − | 70.0683i | −1.06379 | − | 2.38931i | ||||
\(861\) | 3.06645 | + | 29.1753i | 0.104504 | + | 0.994291i | ||||
\(862\) | 12.7777 | + | 22.1316i | 0.435209 | + | 0.753805i | ||||
\(863\) | 35.7174i | 1.21583i | 0.794000 | + | 0.607917i | \(0.207995\pi\) | ||||
−0.794000 | + | 0.607917i | \(0.792005\pi\) | |||||||
\(864\) | −5.30342 | + | 11.9117i | −0.180426 | + | 0.405244i | ||||
\(865\) | −6.63710 | − | 31.2251i | −0.225668 | − | 1.06169i | ||||
\(866\) | −29.2159 | + | 9.49281i | −0.992795 | + | 0.322579i | ||||
\(867\) | 14.6822 | + | 25.4304i | 0.498634 | + | 0.863660i | ||||
\(868\) | −41.1413 | − | 22.3318i | −1.39643 | − | 0.757990i | ||||
\(869\) | −15.4567 | − | 8.92393i | −0.524333 | − | 0.302724i | ||||
\(870\) | 42.5230 | + | 130.872i | 1.44167 | + | 4.43699i | ||||
\(871\) | −15.2477 | + | 2.68806i | −0.516649 | + | 0.0910816i | ||||
\(872\) | 7.12715 | − | 5.17818i | 0.241356 | − | 0.175355i | ||||
\(873\) | −41.1135 | − | 23.7369i | −1.39148 | − | 0.803373i | ||||
\(874\) | 1.26413 | − | 2.18954i | 0.0427599 | − | 0.0740623i | ||||
\(875\) | −31.6814 | − | 14.1055i | −1.07103 | − | 0.476852i | ||||
\(876\) | 30.4343 | − | 41.8892i | 1.02828 | − | 1.41530i | ||||
\(877\) | −16.6950 | − | 1.75471i | −0.563750 | − | 0.0592525i | −0.181633 | − | 0.983366i | \(-0.558138\pi\) |
−0.382117 | + | 0.924114i | \(0.624805\pi\) | |||||||
\(878\) | −23.3792 | − | 21.0507i | −0.789009 | − | 0.710427i | ||||
\(879\) | 3.13081 | + | 4.30919i | 0.105600 | + | 0.145345i | ||||
\(880\) | −12.2202 | + | 13.5719i | −0.411944 | + | 0.457510i | ||||
\(881\) | 25.8890 | + | 28.7526i | 0.872221 | + | 0.968699i | 0.999732 | − | 0.0231377i | \(-0.00736560\pi\) |
−0.127511 | + | 0.991837i | \(0.540699\pi\) | |||||||
\(882\) | 18.9121 | + | 42.4772i | 0.636802 | + | 1.43028i | ||||
\(883\) | 4.04052 | − | 12.4354i | 0.135974 | − | 0.418486i | −0.859766 | − | 0.510688i | \(-0.829391\pi\) |
0.995740 | + | 0.0922023i | \(0.0293906\pi\) | |||||||
\(884\) | −3.42888 | − | 19.4499i | −0.115326 | − | 0.654172i | ||||
\(885\) | −4.68048 | − | 3.40057i | −0.157333 | − | 0.114309i | ||||
\(886\) | −8.65323 | + | 7.79140i | −0.290711 | + | 0.261757i | ||||
\(887\) | −13.0923 | − | 2.78285i | −0.439596 | − | 0.0934390i | −0.0172034 | − | 0.999852i | \(-0.505476\pi\) |
−0.422393 | + | 0.906413i | \(0.638810\pi\) | |||||||
\(888\) | 2.47127 | + | 1.10028i | 0.0829305 | + | 0.0369230i | ||||
\(889\) | 20.3668 | − | 6.61757i | 0.683080 | − | 0.221946i | ||||
\(890\) | 71.5316 | + | 7.51827i | 2.39774 | + | 0.252013i | ||||
\(891\) | −10.5115 | − | 1.10480i | −0.352148 | − | 0.0370122i | ||||
\(892\) | 2.12163 | + | 2.92017i | 0.0710373 | + | 0.0977745i | ||||
\(893\) | 0.397649 | + | 0.688749i | 0.0133068 | + | 0.0230481i | ||||
\(894\) | −43.8341 | + | 75.9229i | −1.46603 | + | 2.53924i | ||||
\(895\) | 65.3228 | − | 6.86570i | 2.18350 | − | 0.229495i | ||||
\(896\) | −5.82516 | + | 17.9280i | −0.194605 | + | 0.598932i | ||||
\(897\) | 81.0537 | − | 23.2389i | 2.70631 | − | 0.775923i | ||||
\(898\) | −32.5005 | −1.08456 | ||||||||
\(899\) | −5.25564 | − | 39.8852i | −0.175285 | − | 1.33024i | ||||
\(900\) | −32.2592 | + | 55.8746i | −1.07531 | + | 1.86249i | ||||
\(901\) | 0.571478 | − | 0.634691i | 0.0190387 | − | 0.0211446i | ||||
\(902\) | 9.73938 | + | 3.16452i | 0.324286 | + | 0.105367i | ||||
\(903\) | 35.3283 | − | 79.3487i | 1.17565 | − | 2.64056i | ||||
\(904\) | −3.58960 | + | 2.07246i | −0.119388 | + | 0.0689290i | ||||
\(905\) | − | 68.1278i | − | 2.26465i | ||||||
\(906\) | 10.4388 | + | 4.64767i | 0.346807 | + | 0.154408i | ||||
\(907\) | −36.6757 | + | 16.3291i | −1.21780 | + | 0.542198i | −0.912114 | − | 0.409936i | \(-0.865551\pi\) |
−0.305682 | + | 0.952134i | \(0.598884\pi\) | |||||||
\(908\) | 20.2443 | + | 45.4694i | 0.671830 | + | 1.50896i | ||||
\(909\) | 10.6090 | + | 32.6512i | 0.351879 | + | 1.08297i | ||||
\(910\) | 6.75108 | + | 96.5910i | 0.223796 | + | 3.20196i | ||||
\(911\) | 13.6876 | + | 42.1260i | 0.453490 | + | 1.39570i | 0.872899 | + | 0.487901i | \(0.162237\pi\) |
−0.419409 | + | 0.907797i | \(0.637763\pi\) | |||||||
\(912\) | −0.836998 | + | 0.753636i | −0.0277158 | + | 0.0249554i | ||||
\(913\) | 15.6685 | − | 6.97605i | 0.518550 | − | 0.230873i | ||||
\(914\) | 5.34381 | − | 1.13586i | 0.176758 | − | 0.0375710i | ||||
\(915\) | 128.651 | + | 41.8011i | 4.25306 | + | 1.38190i | ||||
\(916\) | −15.9410 | − | 1.67547i | −0.526705 | − | 0.0553590i | ||||
\(917\) | 4.92720 | + | 23.1806i | 0.162710 | + | 0.765492i | ||||
\(918\) | 7.51919 | − | 2.44313i | 0.248170 | − | 0.0806354i | ||||
\(919\) | 12.7598 | + | 5.68102i | 0.420906 | + | 0.187399i | 0.606250 | − | 0.795274i | \(-0.292673\pi\) |
−0.185344 | + | 0.982674i | \(0.559340\pi\) | |||||||
\(920\) | 20.8078 | + | 4.42283i | 0.686012 | + | 0.145816i | ||||
\(921\) | −32.5226 | − | 73.0469i | −1.07166 | − | 2.40698i | ||||
\(922\) | −44.7731 | − | 32.5295i | −1.47452 | − | 1.07130i | ||||
\(923\) | −23.7885 | + | 16.0444i | −0.783008 | + | 0.528107i | ||||
\(924\) | 33.9690 | 1.11750 | ||||||||
\(925\) | −10.6364 | − | 6.14092i | −0.349722 | − | 0.201912i | ||||
\(926\) | 1.53305 | + | 14.5860i | 0.0503792 | + | 0.479326i | ||||
\(927\) | −31.4111 | + | 6.67664i | −1.03168 | + | 0.219290i | ||||
\(928\) | −55.6785 | + | 18.0910i | −1.82774 | + | 0.593867i | ||||
\(929\) | −37.9321 | + | 21.9001i | −1.24451 | + | 0.718520i | −0.970010 | − | 0.243067i | \(-0.921847\pi\) |
−0.274503 | + | 0.961586i | \(0.588513\pi\) | |||||||
\(930\) | 68.8557 | − | 80.6384i | 2.25787 | − | 2.64424i | ||||
\(931\) | 0.826861i | 0.0270993i | ||||||||
\(932\) | −39.2434 | + | 43.5842i | −1.28546 | + | 1.42765i | ||||
\(933\) | −22.3200 | − | 24.7889i | −0.730725 | − | 0.811552i | ||||
\(934\) | 17.9001 | − | 1.88138i | 0.585709 | − | 0.0615605i | ||||
\(935\) | 13.2188 | 0.432302 | ||||||||
\(936\) | 8.58808 | + | 0.300187i | 0.280710 | + | 0.00981193i | ||||
\(937\) | 4.40380 | − | 3.19955i | 0.143866 | − | 0.104525i | −0.513524 | − | 0.858075i | \(-0.671660\pi\) |
0.657390 | + | 0.753550i | \(0.271660\pi\) | |||||||
\(938\) | −13.1706 | − | 29.5816i | −0.430035 | − | 0.965875i | ||||
\(939\) | 9.45571 | − | 4.20995i | 0.308576 | − | 0.137387i | ||||
\(940\) | −32.7770 | + | 36.4025i | −1.06907 | + | 1.18732i | ||||
\(941\) | 18.8373 | + | 25.9273i | 0.614078 | + | 0.845206i | 0.996905 | − | 0.0786137i | \(-0.0250494\pi\) |
−0.382827 | + | 0.923820i | \(0.625049\pi\) | |||||||
\(942\) | 29.4158 | + | 26.4861i | 0.958419 | + | 0.862964i | ||||
\(943\) | 5.93178 | + | 27.9068i | 0.193165 | + | 0.908772i | ||||
\(944\) | 1.21196 | − | 1.66812i | 0.0394459 | − | 0.0542926i | ||||
\(945\) | −20.3468 | + | 4.32484i | −0.661880 | + | 0.140687i | ||||
\(946\) | −20.2883 | − | 22.5324i | −0.659629 | − | 0.732592i | ||||
\(947\) | −8.19986 | − | 18.4172i | −0.266460 | − | 0.598478i | 0.729916 | − | 0.683537i | \(-0.239559\pi\) |
−0.996376 | + | 0.0850583i | \(0.972892\pi\) | |||||||
\(948\) | 20.9497 | − | 64.4766i | 0.680415 | − | 2.09410i | ||||
\(949\) | 30.3805 | + | 7.57579i | 0.986194 | + | 0.245920i | ||||
\(950\) | −1.72963 | + | 1.25665i | −0.0561165 | + | 0.0407711i | ||||
\(951\) | −4.92673 | + | 23.1784i | −0.159760 | + | 0.751612i | ||||
\(952\) | 5.15474 | − | 2.29504i | 0.167066 | − | 0.0743826i | ||||
\(953\) | 0.0144209 | − | 0.137206i | 0.000467139 | − | 0.00444453i | −0.994286 | − | 0.106750i | \(-0.965955\pi\) |
0.994753 | + | 0.102306i | \(0.0326221\pi\) | |||||||
\(954\) | 1.59894 | + | 2.20076i | 0.0517677 | + | 0.0712522i | ||||
\(955\) | 57.6520 | − | 33.2854i | 1.86557 | − | 1.07709i | ||||
\(956\) | −41.5708 | + | 24.0009i | −1.34450 | + | 0.776245i | ||||
\(957\) | 17.1593 | + | 23.6177i | 0.554680 | + | 0.763452i | ||||
\(958\) | −47.2097 | + | 10.0347i | −1.52528 | + | 0.324207i | ||||
\(959\) | −39.4646 | − | 8.38846i | −1.27438 | − | 0.270878i | ||||
\(960\) | −81.7636 | − | 47.2062i | −2.63891 | − | 1.52357i | ||||
\(961\) | −24.0870 | + | 19.5145i | −0.777001 | + | 0.629499i | ||||
\(962\) | −0.418313 | + | 11.9675i | −0.0134869 | + | 0.385849i | ||||
\(963\) | 8.30377 | + | 25.5564i | 0.267585 | + | 0.823542i | ||||
\(964\) | −38.6633 | + | 34.8126i | −1.24526 | + | 1.12124i | ||||
\(965\) | 2.71931 | + | 25.8725i | 0.0875377 | + | 0.832866i | ||||
\(966\) | 88.1736 | + | 152.721i | 2.83694 | + | 4.91372i | ||||
\(967\) | − | 7.84739i | − | 0.252355i | −0.992008 | − | 0.126178i | \(-0.959729\pi\) | ||
0.992008 | − | 0.126178i | \(-0.0402709\pi\) | |||||||
\(968\) | −2.28259 | + | 5.12679i | −0.0733653 | + | 0.164781i | ||||
\(969\) | 0.810754 | + | 0.0852137i | 0.0260452 | + | 0.00273746i | ||||
\(970\) | 56.9524 | − | 78.3883i | 1.82863 | − | 2.51690i | ||||
\(971\) | 21.1241 | − | 23.4607i | 0.677904 | − | 0.752889i | −0.301793 | − | 0.953374i | \(-0.597585\pi\) |
0.979697 | + | 0.200485i | \(0.0642518\pi\) | |||||||
\(972\) | −5.36554 | − | 51.0497i | −0.172100 | − | 1.63742i | ||||
\(973\) | 0.464850 | − | 2.18695i | 0.0149024 | − | 0.0701103i | ||||
\(974\) | 18.5005 | − | 56.9386i | 0.592793 | − | 1.82443i | ||||
\(975\) | −70.6075 | − | 9.92563i | −2.26125 | − | 0.317874i | ||||
\(976\) | −14.8979 | + | 45.8509i | −0.476869 | + | 1.46765i | ||||
\(977\) | −13.0130 | + | 11.7169i | −0.416321 | + | 0.374857i | −0.850505 | − | 0.525967i | \(-0.823704\pi\) |
0.434184 | + | 0.900824i | \(0.357037\pi\) | |||||||
\(978\) | 12.8415 | − | 5.71741i | 0.410627 | − | 0.182823i | ||||
\(979\) | 14.9254 | − | 3.17249i | 0.477018 | − | 0.101393i | ||||
\(980\) | −48.4358 | + | 15.7377i | −1.54723 | + | 0.502724i | ||||
\(981\) | −19.7583 | + | 44.3779i | −0.630835 | + | 1.41688i | ||||
\(982\) | −46.2773 | − | 41.6682i | −1.47677 | − | 1.32969i | ||||
\(983\) | −6.35067 | + | 8.74095i | −0.202555 | + | 0.278793i | −0.898195 | − | 0.439598i | \(-0.855121\pi\) |
0.695640 | + | 0.718391i | \(0.255121\pi\) | |||||||
\(984\) | −0.555445 | + | 5.28470i | −0.0177069 | + | 0.168470i | ||||
\(985\) | 3.85213 | + | 36.6506i | 0.122739 | + | 1.16778i | ||||
\(986\) | 30.7421 | + | 17.7489i | 0.979027 | + | 0.565241i | ||||
\(987\) | −55.4724 | −1.76570 | ||||||||
\(988\) | 1.00543 | + | 0.490420i | 0.0319868 | + | 0.0156023i | ||||
\(989\) | 26.1034 | − | 80.3381i | 0.830041 | − | 2.55460i | ||||
\(990\) | −8.75382 | + | 41.1835i | −0.278215 | + | 1.30890i | ||||
\(991\) | −10.3214 | + | 17.8773i | −0.327872 | + | 0.567890i | −0.982089 | − | 0.188416i | \(-0.939665\pi\) |
0.654218 | + | 0.756306i | \(0.272998\pi\) | |||||||
\(992\) | 34.3069 | + | 29.2940i | 1.08925 | + | 0.930087i | ||||
\(993\) | 0.847739i | 0.0269022i | ||||||||
\(994\) | −44.5962 | − | 40.1546i | −1.41450 | − | 1.27363i | ||||
\(995\) | 2.59472 | + | 12.2072i | 0.0822583 | + | 0.386995i | ||||
\(996\) | 38.2935 | + | 52.7064i | 1.21337 | + | 1.67007i | ||||
\(997\) | 17.9846 | + | 31.1503i | 0.569579 | + | 0.986539i | 0.996607 | + | 0.0823012i | \(0.0262270\pi\) |
−0.427029 | + | 0.904238i | \(0.640440\pi\) | |||||||
\(998\) | −27.7983 | + | 48.1481i | −0.879940 | + | 1.52410i | ||||
\(999\) | −2.55847 | + | 0.268906i | −0.0809464 | + | 0.00850780i |
(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 | 403.2.bs.a.4.6 | ✓ | 288 | |
13.10 | even | 6 | inner | 403.2.bs.a.283.31 | yes | 288 | |
31.8 | even | 5 | inner | 403.2.bs.a.225.31 | yes | 288 | |
403.101 | even | 30 | inner | 403.2.bs.a.101.6 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bs.a.4.6 | ✓ | 288 | 1.1 | even | 1 | trivial | |
403.2.bs.a.101.6 | yes | 288 | 403.101 | even | 30 | inner | |
403.2.bs.a.225.31 | yes | 288 | 31.8 | even | 5 | inner | |
403.2.bs.a.283.31 | yes | 288 | 13.10 | even | 6 | inner |