Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(119,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.119");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.r (of order \(6\), 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: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 119.9 | ||
Character | \(\chi\) | \(=\) | 930.119 |
Dual form | 930.2.r.a.719.9 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | −1.24050 | − | 1.20878i | −0.716203 | − | 0.697892i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −0.280722 | − | 2.21838i | −0.125543 | − | 0.992088i | ||||
\(6\) | 1.24050 | + | 1.20878i | 0.506432 | + | 0.493484i | ||||
\(7\) | 2.19151 | + | 1.26527i | 0.828313 | + | 0.478227i | 0.853275 | − | 0.521462i | \(-0.174613\pi\) |
−0.0249617 | + | 0.999688i | \(0.507946\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0.0776784 | + | 2.99899i | 0.0258928 | + | 0.999665i | ||||
\(10\) | 0.280722 | + | 2.21838i | 0.0887720 | + | 0.701512i | ||||
\(11\) | −0.583678 | − | 1.01096i | −0.175986 | − | 0.304816i | 0.764516 | − | 0.644604i | \(-0.222978\pi\) |
−0.940502 | + | 0.339788i | \(0.889645\pi\) | |||||||
\(12\) | −1.24050 | − | 1.20878i | −0.358101 | − | 0.348946i | ||||
\(13\) | −3.18182 | − | 5.51107i | −0.882478 | − | 1.52850i | −0.848577 | − | 0.529072i | \(-0.822540\pi\) |
−0.0339011 | − | 0.999425i | \(-0.510793\pi\) | |||||||
\(14\) | −2.19151 | − | 1.26527i | −0.585706 | − | 0.338157i | ||||
\(15\) | −2.33331 | + | 3.09123i | −0.602457 | + | 0.798152i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 3.41739 | + | 1.97303i | 0.828839 | + | 0.478530i | 0.853455 | − | 0.521167i | \(-0.174503\pi\) |
−0.0246160 | + | 0.999697i | \(0.507836\pi\) | |||||||
\(18\) | −0.0776784 | − | 2.99899i | −0.0183090 | − | 0.706870i | ||||
\(19\) | 1.33594 | − | 2.31391i | 0.306485 | − | 0.530848i | −0.671106 | − | 0.741362i | \(-0.734180\pi\) |
0.977591 | + | 0.210514i | \(0.0675137\pi\) | |||||||
\(20\) | −0.280722 | − | 2.21838i | −0.0627713 | − | 0.496044i | ||||
\(21\) | −1.18913 | − | 4.21863i | −0.259489 | − | 0.920581i | ||||
\(22\) | 0.583678 | + | 1.01096i | 0.124441 | + | 0.215537i | ||||
\(23\) | − | 2.97331i | − | 0.619979i | −0.950740 | − | 0.309989i | \(-0.899675\pi\) | ||
0.950740 | − | 0.309989i | \(-0.100325\pi\) | |||||||
\(24\) | 1.24050 | + | 1.20878i | 0.253216 | + | 0.246742i | ||||
\(25\) | −4.84239 | + | 1.24549i | −0.968478 | + | 0.249099i | ||||
\(26\) | 3.18182 | + | 5.51107i | 0.624006 | + | 1.08081i | ||||
\(27\) | 3.52878 | − | 3.81415i | 0.679114 | − | 0.734033i | ||||
\(28\) | 2.19151 | + | 1.26527i | 0.414157 | + | 0.239113i | ||||
\(29\) | 4.97367 | 0.923586 | 0.461793 | − | 0.886988i | \(-0.347206\pi\) | ||||
0.461793 | + | 0.886988i | \(0.347206\pi\) | |||||||
\(30\) | 2.33331 | − | 3.09123i | 0.426001 | − | 0.564378i | ||||
\(31\) | −1.00997 | − | 5.47540i | −0.181395 | − | 0.983410i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −0.497981 | + | 1.95964i | −0.0866873 | + | 0.341129i | ||||
\(34\) | −3.41739 | − | 1.97303i | −0.586078 | − | 0.338372i | ||||
\(35\) | 2.19164 | − | 5.21678i | 0.370455 | − | 0.881797i | ||||
\(36\) | 0.0776784 | + | 2.99899i | 0.0129464 | + | 0.499832i | ||||
\(37\) | −2.60353 | + | 4.50944i | −0.428017 | + | 0.741348i | −0.996697 | − | 0.0812114i | \(-0.974121\pi\) |
0.568680 | + | 0.822559i | \(0.307454\pi\) | |||||||
\(38\) | −1.33594 | + | 2.31391i | −0.216718 | + | 0.375366i | ||||
\(39\) | −2.71466 | + | 10.6826i | −0.434693 | + | 1.71059i | ||||
\(40\) | 0.280722 | + | 2.21838i | 0.0443860 | + | 0.350756i | ||||
\(41\) | −0.504431 | + | 0.291233i | −0.0787789 | + | 0.0454830i | −0.538872 | − | 0.842388i | \(-0.681149\pi\) |
0.460093 | + | 0.887871i | \(0.347816\pi\) | |||||||
\(42\) | 1.18913 | + | 4.21863i | 0.183487 | + | 0.650949i | ||||
\(43\) | −0.106364 | + | 0.184228i | −0.0162204 | + | 0.0280945i | −0.874022 | − | 0.485887i | \(-0.838497\pi\) |
0.857801 | + | 0.513981i | \(0.171830\pi\) | |||||||
\(44\) | −0.583678 | − | 1.01096i | −0.0879928 | − | 0.152408i | ||||
\(45\) | 6.63109 | − | 1.01420i | 0.988505 | − | 0.151188i | ||||
\(46\) | 2.97331i | 0.438391i | ||||||||
\(47\) | −2.60049 | −0.379320 | −0.189660 | − | 0.981850i | \(-0.560739\pi\) | ||||
−0.189660 | + | 0.981850i | \(0.560739\pi\) | |||||||
\(48\) | −1.24050 | − | 1.20878i | −0.179051 | − | 0.174473i | ||||
\(49\) | −0.298188 | − | 0.516477i | −0.0425983 | − | 0.0737825i | ||||
\(50\) | 4.84239 | − | 1.24549i | 0.684817 | − | 0.176139i | ||||
\(51\) | −1.85430 | − | 6.57843i | −0.259654 | − | 0.921165i | ||||
\(52\) | −3.18182 | − | 5.51107i | −0.441239 | − | 0.764249i | ||||
\(53\) | −5.05784 | + | 2.92015i | −0.694748 | + | 0.401113i | −0.805388 | − | 0.592748i | \(-0.798043\pi\) |
0.110640 | + | 0.993861i | \(0.464710\pi\) | |||||||
\(54\) | −3.52878 | + | 3.81415i | −0.480206 | + | 0.519040i | ||||
\(55\) | −2.07884 | + | 1.57862i | −0.280311 | + | 0.212861i | ||||
\(56\) | −2.19151 | − | 1.26527i | −0.292853 | − | 0.169079i | ||||
\(57\) | −4.45425 | + | 1.25555i | −0.589980 | + | 0.166301i | ||||
\(58\) | −4.97367 | −0.653074 | ||||||||
\(59\) | −10.0172 | − | 5.78341i | −1.30412 | − | 0.752936i | −0.323015 | − | 0.946394i | \(-0.604696\pi\) |
−0.981109 | + | 0.193458i | \(0.938030\pi\) | |||||||
\(60\) | −2.33331 | + | 3.09123i | −0.301228 | + | 0.399076i | ||||
\(61\) | − | 7.81867i | − | 1.00108i | −0.865714 | − | 0.500539i | \(-0.833135\pi\) | ||
0.865714 | − | 0.500539i | \(-0.166865\pi\) | |||||||
\(62\) | 1.00997 | + | 5.47540i | 0.128266 | + | 0.695376i | ||||
\(63\) | −3.62430 | + | 6.67061i | −0.456619 | + | 0.840418i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −11.3324 | + | 8.60555i | −1.40562 | + | 1.06739i | ||||
\(66\) | 0.497981 | − | 1.95964i | 0.0612972 | − | 0.241215i | ||||
\(67\) | −2.19629 | + | 1.26803i | −0.268320 | + | 0.154914i | −0.628124 | − | 0.778113i | \(-0.716177\pi\) |
0.359804 | + | 0.933028i | \(0.382844\pi\) | |||||||
\(68\) | 3.41739 | + | 1.97303i | 0.414419 | + | 0.239265i | ||||
\(69\) | −3.59410 | + | 3.68839i | −0.432678 | + | 0.444030i | ||||
\(70\) | −2.19164 | + | 5.21678i | −0.261951 | + | 0.623525i | ||||
\(71\) | −13.2612 | + | 7.65636i | −1.57381 | + | 0.908642i | −0.578120 | + | 0.815952i | \(0.696213\pi\) |
−0.995695 | + | 0.0926906i | \(0.970453\pi\) | |||||||
\(72\) | −0.0776784 | − | 2.99899i | −0.00915449 | − | 0.353435i | ||||
\(73\) | 3.80528 | + | 6.59093i | 0.445374 | + | 0.771410i | 0.998078 | − | 0.0619672i | \(-0.0197374\pi\) |
−0.552704 | + | 0.833377i | \(0.686404\pi\) | |||||||
\(74\) | 2.60353 | − | 4.50944i | 0.302654 | − | 0.524212i | ||||
\(75\) | 7.51252 | + | 4.30838i | 0.867471 | + | 0.497488i | ||||
\(76\) | 1.33594 | − | 2.31391i | 0.153243 | − | 0.265424i | ||||
\(77\) | − | 2.95404i | − | 0.336644i | ||||||
\(78\) | 2.71466 | − | 10.6826i | 0.307374 | − | 1.20957i | ||||
\(79\) | −9.30890 | − | 5.37450i | −1.04733 | − | 0.604678i | −0.125432 | − | 0.992102i | \(-0.540032\pi\) |
−0.921902 | + | 0.387424i | \(0.873365\pi\) | |||||||
\(80\) | −0.280722 | − | 2.21838i | −0.0313856 | − | 0.248022i | ||||
\(81\) | −8.98793 | + | 0.465914i | −0.998659 | + | 0.0517682i | ||||
\(82\) | 0.504431 | − | 0.291233i | 0.0557051 | − | 0.0321613i | ||||
\(83\) | 2.79531 | − | 1.61388i | 0.306826 | − | 0.177146i | −0.338680 | − | 0.940902i | \(-0.609980\pi\) |
0.645505 | + | 0.763756i | \(0.276647\pi\) | |||||||
\(84\) | −1.18913 | − | 4.21863i | −0.129745 | − | 0.460290i | ||||
\(85\) | 3.41759 | − | 8.13493i | 0.370690 | − | 0.882357i | ||||
\(86\) | 0.106364 | − | 0.184228i | 0.0114695 | − | 0.0198658i | ||||
\(87\) | −6.16983 | − | 6.01209i | −0.661475 | − | 0.644564i | ||||
\(88\) | 0.583678 | + | 1.01096i | 0.0622203 | + | 0.107769i | ||||
\(89\) | 12.6584 | 1.34179 | 0.670894 | − | 0.741553i | \(-0.265911\pi\) | ||||
0.670894 | + | 0.741553i | \(0.265911\pi\) | |||||||
\(90\) | −6.63109 | + | 1.01420i | −0.698979 | + | 0.106906i | ||||
\(91\) | − | 16.1034i | − | 1.68810i | ||||||
\(92\) | − | 2.97331i | − | 0.309989i | ||||||
\(93\) | −5.36571 | + | 8.01306i | −0.556399 | + | 0.830916i | ||||
\(94\) | 2.60049 | 0.268220 | ||||||||
\(95\) | −5.50816 | − | 2.31405i | −0.565125 | − | 0.237416i | ||||
\(96\) | 1.24050 | + | 1.20878i | 0.126608 | + | 0.123371i | ||||
\(97\) | − | 11.6154i | − | 1.17937i | −0.807635 | − | 0.589683i | \(-0.799253\pi\) | ||
0.807635 | − | 0.589683i | \(-0.200747\pi\) | |||||||
\(98\) | 0.298188 | + | 0.516477i | 0.0301216 | + | 0.0521721i | ||||
\(99\) | 2.98652 | − | 1.82898i | 0.300157 | − | 0.183819i | ||||
\(100\) | −4.84239 | + | 1.24549i | −0.484239 | + | 0.124549i | ||||
\(101\) | 2.60547i | 0.259254i | 0.991563 | + | 0.129627i | \(0.0413781\pi\) | ||||
−0.991563 | + | 0.129627i | \(0.958622\pi\) | |||||||
\(102\) | 1.85430 | + | 6.57843i | 0.183603 | + | 0.651362i | ||||
\(103\) | −11.9006 | + | 6.87079i | −1.17260 | + | 0.676999i | −0.954290 | − | 0.298881i | \(-0.903387\pi\) |
−0.218306 | + | 0.975880i | \(0.570053\pi\) | |||||||
\(104\) | 3.18182 | + | 5.51107i | 0.312003 | + | 0.540405i | ||||
\(105\) | −9.02470 | + | 3.82220i | −0.880720 | + | 0.373008i | ||||
\(106\) | 5.05784 | − | 2.92015i | 0.491261 | − | 0.283630i | ||||
\(107\) | −1.02068 | + | 1.76788i | −0.0986733 | + | 0.170907i | −0.911136 | − | 0.412106i | \(-0.864793\pi\) |
0.812462 | + | 0.583014i | \(0.198127\pi\) | |||||||
\(108\) | 3.52878 | − | 3.81415i | 0.339557 | − | 0.367017i | ||||
\(109\) | 5.29320 | 0.506997 | 0.253498 | − | 0.967336i | \(-0.418419\pi\) | ||||
0.253498 | + | 0.967336i | \(0.418419\pi\) | |||||||
\(110\) | 2.07884 | − | 1.57862i | 0.198209 | − | 0.150515i | ||||
\(111\) | 8.68062 | − | 2.44686i | 0.823928 | − | 0.232245i | ||||
\(112\) | 2.19151 | + | 1.26527i | 0.207078 | + | 0.119557i | ||||
\(113\) | −6.29037 | − | 10.8952i | −0.591748 | − | 1.02494i | −0.993997 | − | 0.109408i | \(-0.965105\pi\) |
0.402249 | − | 0.915531i | \(-0.368229\pi\) | |||||||
\(114\) | 4.45425 | − | 1.25555i | 0.417179 | − | 0.117593i | ||||
\(115\) | −6.59593 | + | 0.834673i | −0.615073 | + | 0.0778337i | ||||
\(116\) | 4.97367 | 0.461793 | ||||||||
\(117\) | 16.2805 | − | 9.97035i | 1.50513 | − | 0.921759i | ||||
\(118\) | 10.0172 | + | 5.78341i | 0.922154 | + | 0.532406i | ||||
\(119\) | 4.99283 | + | 8.64784i | 0.457692 | + | 0.792746i | ||||
\(120\) | 2.33331 | − | 3.09123i | 0.213001 | − | 0.282189i | ||||
\(121\) | 4.81864 | − | 8.34613i | 0.438058 | − | 0.758739i | ||||
\(122\) | 7.81867i | 0.707869i | ||||||||
\(123\) | 0.977785 | + | 0.248474i | 0.0881639 | + | 0.0224041i | ||||
\(124\) | −1.00997 | − | 5.47540i | −0.0906977 | − | 0.491705i | ||||
\(125\) | 4.12234 | + | 10.3926i | 0.368713 | + | 0.929543i | ||||
\(126\) | 3.62430 | − | 6.67061i | 0.322878 | − | 0.594265i | ||||
\(127\) | −9.47777 | + | 16.4160i | −0.841016 | + | 1.45668i | 0.0480201 | + | 0.998846i | \(0.484709\pi\) |
−0.889036 | + | 0.457837i | \(0.848624\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 0.354636 | − | 0.0999633i | 0.0312240 | − | 0.00880128i | ||||
\(130\) | 11.3324 | − | 8.60555i | 0.993920 | − | 0.754757i | ||||
\(131\) | 4.32442 | + | 2.49670i | 0.377826 | + | 0.218138i | 0.676872 | − | 0.736101i | \(-0.263335\pi\) |
−0.299046 | + | 0.954239i | \(0.596668\pi\) | |||||||
\(132\) | −0.497981 | + | 1.95964i | −0.0433437 | + | 0.170564i | ||||
\(133\) | 5.85544 | − | 3.38064i | 0.507731 | − | 0.293139i | ||||
\(134\) | 2.19629 | − | 1.26803i | 0.189731 | − | 0.109541i | ||||
\(135\) | −9.45182 | − | 6.75745i | −0.813483 | − | 0.581588i | ||||
\(136\) | −3.41739 | − | 1.97303i | −0.293039 | − | 0.169186i | ||||
\(137\) | 8.59916 | − | 4.96473i | 0.734676 | − | 0.424165i | −0.0854546 | − | 0.996342i | \(-0.527234\pi\) |
0.820130 | + | 0.572177i | \(0.193901\pi\) | |||||||
\(138\) | 3.59410 | − | 3.68839i | 0.305950 | − | 0.313977i | ||||
\(139\) | 5.27999i | 0.447843i | 0.974607 | + | 0.223921i | \(0.0718859\pi\) | ||||
−0.974607 | + | 0.223921i | \(0.928114\pi\) | |||||||
\(140\) | 2.19164 | − | 5.21678i | 0.185227 | − | 0.440899i | ||||
\(141\) | 3.22591 | + | 3.14343i | 0.271670 | + | 0.264725i | ||||
\(142\) | 13.2612 | − | 7.65636i | 1.11286 | − | 0.642507i | ||||
\(143\) | −3.71432 | + | 6.43339i | −0.310607 | + | 0.537987i | ||||
\(144\) | 0.0776784 | + | 2.99899i | 0.00647320 | + | 0.249916i | ||||
\(145\) | −1.39622 | − | 11.0335i | −0.115949 | − | 0.916279i | ||||
\(146\) | −3.80528 | − | 6.59093i | −0.314927 | − | 0.545469i | ||||
\(147\) | −0.254408 | + | 1.00114i | −0.0209832 | + | 0.0825723i | ||||
\(148\) | −2.60353 | + | 4.50944i | −0.214009 | + | 0.370674i | ||||
\(149\) | −13.6758 | − | 7.89572i | −1.12036 | − | 0.646843i | −0.178870 | − | 0.983873i | \(-0.557244\pi\) |
−0.941494 | + | 0.337030i | \(0.890578\pi\) | |||||||
\(150\) | −7.51252 | − | 4.30838i | −0.613394 | − | 0.351777i | ||||
\(151\) | − | 9.89798i | − | 0.805486i | −0.915313 | − | 0.402743i | \(-0.868057\pi\) | ||
0.915313 | − | 0.402743i | \(-0.131943\pi\) | |||||||
\(152\) | −1.33594 | + | 2.31391i | −0.108359 | + | 0.187683i | ||||
\(153\) | −5.65165 | + | 10.4020i | −0.456909 | + | 0.840952i | ||||
\(154\) | 2.95404i | 0.238043i | ||||||||
\(155\) | −11.8630 | + | 3.77755i | −0.952857 | + | 0.303420i | ||||
\(156\) | −2.71466 | + | 10.6826i | −0.217346 | + | 0.855294i | ||||
\(157\) | 4.41348i | 0.352234i | 0.984369 | + | 0.176117i | \(0.0563537\pi\) | ||||
−0.984369 | + | 0.176117i | \(0.943646\pi\) | |||||||
\(158\) | 9.30890 | + | 5.37450i | 0.740577 | + | 0.427572i | ||||
\(159\) | 9.80408 | + | 2.49140i | 0.777514 | + | 0.197581i | ||||
\(160\) | 0.280722 | + | 2.21838i | 0.0221930 | + | 0.175378i | ||||
\(161\) | 3.76204 | − | 6.51605i | 0.296490 | − | 0.513536i | ||||
\(162\) | 8.98793 | − | 0.465914i | 0.706159 | − | 0.0366057i | ||||
\(163\) | 2.35826i | 0.184713i | 0.995726 | + | 0.0923567i | \(0.0294400\pi\) | ||||
−0.995726 | + | 0.0923567i | \(0.970560\pi\) | |||||||
\(164\) | −0.504431 | + | 0.291233i | −0.0393894 | + | 0.0227415i | ||||
\(165\) | 4.48701 | + | 0.554596i | 0.349313 | + | 0.0431753i | ||||
\(166\) | −2.79531 | + | 1.61388i | −0.216958 | + | 0.125261i | ||||
\(167\) | −3.61526 | − | 2.08727i | −0.279758 | − | 0.161518i | 0.353556 | − | 0.935413i | \(-0.384972\pi\) |
−0.633314 | + | 0.773895i | \(0.718306\pi\) | |||||||
\(168\) | 1.18913 | + | 4.21863i | 0.0917433 | + | 0.325474i | ||||
\(169\) | −13.7480 | + | 23.8122i | −1.05754 | + | 1.83171i | ||||
\(170\) | −3.41759 | + | 8.13493i | −0.262117 | + | 0.623921i | ||||
\(171\) | 7.04318 | + | 3.82673i | 0.538606 | + | 0.292637i | ||||
\(172\) | −0.106364 | + | 0.184228i | −0.00811018 | + | 0.0140472i | ||||
\(173\) | 6.74927 | + | 11.6901i | 0.513137 | + | 0.888780i | 0.999884 | + | 0.0152367i | \(0.00485018\pi\) |
−0.486747 | + | 0.873543i | \(0.661816\pi\) | |||||||
\(174\) | 6.16983 | + | 6.01209i | 0.467734 | + | 0.455775i | ||||
\(175\) | −12.1880 | − | 3.39742i | −0.921329 | − | 0.256821i | ||||
\(176\) | −0.583678 | − | 1.01096i | −0.0439964 | − | 0.0762040i | ||||
\(177\) | 5.43538 | + | 19.2829i | 0.408549 | + | 1.44939i | ||||
\(178\) | −12.6584 | −0.948787 | ||||||||
\(179\) | 7.50882 | − | 13.0057i | 0.561236 | − | 0.972089i | −0.436153 | − | 0.899872i | \(-0.643659\pi\) |
0.997389 | − | 0.0722165i | \(-0.0230073\pi\) | |||||||
\(180\) | 6.63109 | − | 1.01420i | 0.494252 | − | 0.0755942i | ||||
\(181\) | 2.21896 | − | 1.28112i | 0.164934 | − | 0.0952246i | −0.415261 | − | 0.909702i | \(-0.636310\pi\) |
0.580195 | + | 0.814478i | \(0.302976\pi\) | |||||||
\(182\) | 16.1034i | 1.19367i | ||||||||
\(183\) | −9.45108 | + | 9.69905i | −0.698644 | + | 0.716975i | ||||
\(184\) | 2.97331i | 0.219196i | ||||||||
\(185\) | 10.7345 | + | 4.50971i | 0.789217 | + | 0.331560i | ||||
\(186\) | 5.36571 | − | 8.01306i | 0.393433 | − | 0.587546i | ||||
\(187\) | − | 4.60646i | − | 0.336858i | ||||||
\(188\) | −2.60049 | −0.189660 | ||||||||
\(189\) | 12.5593 | − | 3.89389i | 0.913553 | − | 0.283239i | ||||
\(190\) | 5.50816 | + | 2.31405i | 0.399604 | + | 0.167879i | ||||
\(191\) | −6.67352 | + | 3.85296i | −0.482879 | + | 0.278791i | −0.721616 | − | 0.692294i | \(-0.756600\pi\) |
0.238736 | + | 0.971084i | \(0.423267\pi\) | |||||||
\(192\) | −1.24050 | − | 1.20878i | −0.0895253 | − | 0.0872365i | ||||
\(193\) | 7.14681 | + | 4.12622i | 0.514439 | + | 0.297011i | 0.734656 | − | 0.678439i | \(-0.237343\pi\) |
−0.220217 | + | 0.975451i | \(0.570677\pi\) | |||||||
\(194\) | 11.6154i | 0.833938i | ||||||||
\(195\) | 24.4601 | + | 3.02329i | 1.75163 | + | 0.216502i | ||||
\(196\) | −0.298188 | − | 0.516477i | −0.0212992 | − | 0.0368912i | ||||
\(197\) | 22.0501 | − | 12.7306i | 1.57100 | − | 0.907020i | 0.574958 | − | 0.818183i | \(-0.305018\pi\) |
0.996046 | − | 0.0888373i | \(-0.0283151\pi\) | |||||||
\(198\) | −2.98652 | + | 1.82898i | −0.212243 | + | 0.129980i | ||||
\(199\) | −15.1490 | + | 8.74625i | −1.07388 | + | 0.620006i | −0.929239 | − | 0.369479i | \(-0.879536\pi\) |
−0.144642 | + | 0.989484i | \(0.546203\pi\) | |||||||
\(200\) | 4.84239 | − | 1.24549i | 0.342409 | − | 0.0880696i | ||||
\(201\) | 4.25727 | + | 1.08185i | 0.300285 | + | 0.0763081i | ||||
\(202\) | − | 2.60547i | − | 0.183321i | ||||||
\(203\) | 10.8998 | + | 6.29302i | 0.765019 | + | 0.441684i | ||||
\(204\) | −1.85430 | − | 6.57843i | −0.129827 | − | 0.460583i | ||||
\(205\) | 0.787670 | + | 1.03726i | 0.0550133 | + | 0.0724455i | ||||
\(206\) | 11.9006 | − | 6.87079i | 0.829151 | − | 0.478711i | ||||
\(207\) | 8.91695 | − | 0.230962i | 0.619771 | − | 0.0160530i | ||||
\(208\) | −3.18182 | − | 5.51107i | −0.220620 | − | 0.382124i | ||||
\(209\) | −3.11903 | −0.215748 | ||||||||
\(210\) | 9.02470 | − | 3.82220i | 0.622763 | − | 0.263757i | ||||
\(211\) | 11.6155 | − | 20.1187i | 0.799647 | − | 1.38503i | −0.120198 | − | 0.992750i | \(-0.538353\pi\) |
0.919846 | − | 0.392280i | \(-0.128314\pi\) | |||||||
\(212\) | −5.05784 | + | 2.92015i | −0.347374 | + | 0.200556i | ||||
\(213\) | 25.7054 | + | 6.53223i | 1.76131 | + | 0.447581i | ||||
\(214\) | 1.02068 | − | 1.76788i | 0.0697726 | − | 0.120850i | ||||
\(215\) | 0.438545 | + | 0.184239i | 0.0299085 | + | 0.0125650i | ||||
\(216\) | −3.52878 | + | 3.81415i | −0.240103 | + | 0.259520i | ||||
\(217\) | 4.71450 | − | 13.2773i | 0.320041 | − | 0.901320i | ||||
\(218\) | −5.29320 | −0.358501 | ||||||||
\(219\) | 3.24658 | − | 12.7758i | 0.219383 | − | 0.863309i | ||||
\(220\) | −2.07884 | + | 1.57862i | −0.140155 | + | 0.106430i | ||||
\(221\) | − | 25.1113i | − | 1.68917i | ||||||
\(222\) | −8.68062 | + | 2.44686i | −0.582605 | + | 0.164222i | ||||
\(223\) | 12.7804 | − | 22.1364i | 0.855841 | − | 1.48236i | −0.0200215 | − | 0.999800i | \(-0.506373\pi\) |
0.875863 | − | 0.482561i | \(-0.160293\pi\) | |||||||
\(224\) | −2.19151 | − | 1.26527i | −0.146426 | − | 0.0845393i | ||||
\(225\) | −4.11137 | − | 14.4256i | −0.274092 | − | 0.961704i | ||||
\(226\) | 6.29037 | + | 10.8952i | 0.418429 | + | 0.724741i | ||||
\(227\) | −9.83982 | − | 17.0431i | −0.653092 | − | 1.13119i | −0.982369 | − | 0.186954i | \(-0.940138\pi\) |
0.329277 | − | 0.944233i | \(-0.393195\pi\) | |||||||
\(228\) | −4.45425 | + | 1.25555i | −0.294990 | + | 0.0831506i | ||||
\(229\) | 0.583432 | + | 0.336845i | 0.0385543 | + | 0.0222593i | 0.519153 | − | 0.854681i | \(-0.326247\pi\) |
−0.480599 | + | 0.876940i | \(0.659581\pi\) | |||||||
\(230\) | 6.59593 | − | 0.834673i | 0.434923 | − | 0.0550367i | ||||
\(231\) | −3.57080 | + | 3.66448i | −0.234941 | + | 0.241105i | ||||
\(232\) | −4.97367 | −0.326537 | ||||||||
\(233\) | 25.5858 | 1.67618 | 0.838090 | − | 0.545533i | \(-0.183673\pi\) | ||||
0.838090 | + | 0.545533i | \(0.183673\pi\) | |||||||
\(234\) | −16.2805 | + | 9.97035i | −1.06429 | + | 0.651782i | ||||
\(235\) | 0.730014 | + | 5.76886i | 0.0476208 | + | 0.376319i | ||||
\(236\) | −10.0172 | − | 5.78341i | −0.652062 | − | 0.376468i | ||||
\(237\) | 5.05108 | + | 17.9195i | 0.328103 | + | 1.16400i | ||||
\(238\) | −4.99283 | − | 8.64784i | −0.323637 | − | 0.560556i | ||||
\(239\) | 12.1832 | + | 21.1019i | 0.788065 | + | 1.36497i | 0.927151 | + | 0.374688i | \(0.122250\pi\) |
−0.139086 | + | 0.990280i | \(0.544416\pi\) | |||||||
\(240\) | −2.33331 | + | 3.09123i | −0.150614 | + | 0.199538i | ||||
\(241\) | 22.6146 | + | 13.0565i | 1.45673 | + | 0.841045i | 0.998849 | − | 0.0479665i | \(-0.0152741\pi\) |
0.457884 | + | 0.889012i | \(0.348607\pi\) | |||||||
\(242\) | −4.81864 | + | 8.34613i | −0.309754 | + | 0.536510i | ||||
\(243\) | 11.7127 | + | 10.2865i | 0.751371 | + | 0.659880i | ||||
\(244\) | − | 7.81867i | − | 0.500539i | ||||||
\(245\) | −1.06203 | + | 0.806481i | −0.0678508 | + | 0.0515242i | ||||
\(246\) | −0.977785 | − | 0.248474i | −0.0623413 | − | 0.0158421i | ||||
\(247\) | −17.0029 | −1.08187 | ||||||||
\(248\) | 1.00997 | + | 5.47540i | 0.0641329 | + | 0.347688i | ||||
\(249\) | −5.41841 | − | 1.37692i | −0.343378 | − | 0.0872589i | ||||
\(250\) | −4.12234 | − | 10.3926i | −0.260719 | − | 0.657286i | ||||
\(251\) | 8.56462 | − | 14.8344i | 0.540594 | − | 0.936337i | −0.458276 | − | 0.888810i | \(-0.651533\pi\) |
0.998870 | − | 0.0475266i | \(-0.0151339\pi\) | |||||||
\(252\) | −3.62430 | + | 6.67061i | −0.228310 | + | 0.420209i | ||||
\(253\) | −3.00590 | + | 1.73546i | −0.188979 | + | 0.109107i | ||||
\(254\) | 9.47777 | − | 16.4160i | 0.594688 | − | 1.03003i | ||||
\(255\) | −14.0729 | + | 5.96025i | −0.881279 | + | 0.373245i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −6.32974 | − | 10.9634i | −0.394838 | − | 0.683880i | 0.598242 | − | 0.801315i | \(-0.295866\pi\) |
−0.993081 | + | 0.117435i | \(0.962533\pi\) | |||||||
\(258\) | −0.354636 | + | 0.0999633i | −0.0220787 | + | 0.00622345i | ||||
\(259\) | −11.4113 | + | 6.58833i | −0.709065 | + | 0.409379i | ||||
\(260\) | −11.3324 | + | 8.60555i | −0.702808 | + | 0.533694i | ||||
\(261\) | 0.386346 | + | 14.9160i | 0.0239142 | + | 0.923277i | ||||
\(262\) | −4.32442 | − | 2.49670i | −0.267163 | − | 0.154247i | ||||
\(263\) | 7.65133i | 0.471801i | 0.971777 | + | 0.235901i | \(0.0758040\pi\) | ||||
−0.971777 | + | 0.235901i | \(0.924196\pi\) | |||||||
\(264\) | 0.497981 | − | 1.95964i | 0.0306486 | − | 0.120607i | ||||
\(265\) | 7.89783 | + | 10.4004i | 0.485160 | + | 0.638894i | ||||
\(266\) | −5.85544 | + | 3.38064i | −0.359020 | + | 0.207280i | ||||
\(267\) | −15.7027 | − | 15.3013i | −0.960992 | − | 0.936423i | ||||
\(268\) | −2.19629 | + | 1.26803i | −0.134160 | + | 0.0774572i | ||||
\(269\) | 0.846925 | + | 1.46692i | 0.0516379 | + | 0.0894395i | 0.890689 | − | 0.454613i | \(-0.150222\pi\) |
−0.839051 | + | 0.544053i | \(0.816889\pi\) | |||||||
\(270\) | 9.45182 | + | 6.75745i | 0.575219 | + | 0.411245i | ||||
\(271\) | − | 30.2591i | − | 1.83811i | −0.394130 | − | 0.919055i | \(-0.628954\pi\) | ||
0.394130 | − | 0.919055i | \(-0.371046\pi\) | |||||||
\(272\) | 3.41739 | + | 1.97303i | 0.207210 | + | 0.119633i | ||||
\(273\) | −19.4656 | + | 19.9763i | −1.17811 | + | 1.20902i | ||||
\(274\) | −8.59916 | + | 4.96473i | −0.519494 | + | 0.299930i | ||||
\(275\) | 4.08554 | + | 4.16850i | 0.246367 | + | 0.251370i | ||||
\(276\) | −3.59410 | + | 3.68839i | −0.216339 | + | 0.222015i | ||||
\(277\) | 32.9288 | 1.97850 | 0.989250 | − | 0.146235i | \(-0.0467155\pi\) | ||||
0.989250 | + | 0.146235i | \(0.0467155\pi\) | |||||||
\(278\) | − | 5.27999i | − | 0.316673i | ||||||
\(279\) | 16.3422 | − | 3.45420i | 0.978384 | − | 0.206798i | ||||
\(280\) | −2.19164 | + | 5.21678i | −0.130975 | + | 0.311762i | ||||
\(281\) | 13.9762i | 0.833752i | 0.908963 | + | 0.416876i | \(0.136875\pi\) | ||||
−0.908963 | + | 0.416876i | \(0.863125\pi\) | |||||||
\(282\) | −3.22591 | − | 3.14343i | −0.192100 | − | 0.187189i | ||||
\(283\) | − | 11.4141i | − | 0.678498i | −0.940697 | − | 0.339249i | \(-0.889827\pi\) | ||
0.940697 | − | 0.339249i | \(-0.110173\pi\) | |||||||
\(284\) | −13.2612 | + | 7.65636i | −0.786907 | + | 0.454321i | ||||
\(285\) | 4.03568 | + | 9.52875i | 0.239053 | + | 0.564435i | ||||
\(286\) | 3.71432 | − | 6.43339i | 0.219632 | − | 0.380414i | ||||
\(287\) | −1.47395 | −0.0870048 | ||||||||
\(288\) | −0.0776784 | − | 2.99899i | −0.00457724 | − | 0.176717i | ||||
\(289\) | −0.714295 | − | 1.23719i | −0.0420173 | − | 0.0727762i | ||||
\(290\) | 1.39622 | + | 11.0335i | 0.0819886 | + | 0.647907i | ||||
\(291\) | −14.0405 | + | 14.4089i | −0.823071 | + | 0.844666i | ||||
\(292\) | 3.80528 | + | 6.59093i | 0.222687 | + | 0.385705i | ||||
\(293\) | 2.33280 | − | 4.04052i | 0.136283 | − | 0.236050i | −0.789804 | − | 0.613360i | \(-0.789818\pi\) |
0.926087 | + | 0.377310i | \(0.123151\pi\) | |||||||
\(294\) | 0.254408 | − | 1.00114i | 0.0148374 | − | 0.0583874i | ||||
\(295\) | −10.0177 | + | 23.8454i | −0.583256 | + | 1.38833i | ||||
\(296\) | 2.60353 | − | 4.50944i | 0.151327 | − | 0.262106i | ||||
\(297\) | −5.91562 | − | 1.34122i | −0.343259 | − | 0.0778255i | ||||
\(298\) | 13.6758 | + | 7.89572i | 0.792217 | + | 0.457387i | ||||
\(299\) | −16.3861 | + | 9.46055i | −0.947635 | + | 0.547118i | ||||
\(300\) | 7.51252 | + | 4.30838i | 0.433735 | + | 0.248744i | ||||
\(301\) | −0.466195 | + | 0.269158i | −0.0268711 | + | 0.0155140i | ||||
\(302\) | 9.89798i | 0.569565i | ||||||||
\(303\) | 3.14946 | − | 3.23209i | 0.180932 | − | 0.185679i | ||||
\(304\) | 1.33594 | − | 2.31391i | 0.0766213 | − | 0.132712i | ||||
\(305\) | −17.3447 | + | 2.19487i | −0.993157 | + | 0.125678i | ||||
\(306\) | 5.65165 | − | 10.4020i | 0.323083 | − | 0.594643i | ||||
\(307\) | −6.69856 | − | 3.86742i | −0.382307 | − | 0.220725i | 0.296514 | − | 0.955028i | \(-0.404176\pi\) |
−0.678822 | + | 0.734303i | \(0.737509\pi\) | |||||||
\(308\) | − | 2.95404i | − | 0.168322i | ||||||
\(309\) | 23.0679 | + | 5.86200i | 1.31229 | + | 0.333478i | ||||
\(310\) | 11.8630 | − | 3.77755i | 0.673772 | − | 0.214550i | ||||
\(311\) | 3.48291i | 0.197498i | 0.995112 | + | 0.0987489i | \(0.0314840\pi\) | ||||
−0.995112 | + | 0.0987489i | \(0.968516\pi\) | |||||||
\(312\) | 2.71466 | − | 10.6826i | 0.153687 | − | 0.604784i | ||||
\(313\) | 0.752791 | − | 1.30387i | 0.0425503 | − | 0.0736993i | −0.843966 | − | 0.536397i | \(-0.819785\pi\) |
0.886516 | + | 0.462698i | \(0.153118\pi\) | |||||||
\(314\) | − | 4.41348i | − | 0.249067i | ||||||
\(315\) | 15.8153 | + | 6.16748i | 0.891094 | + | 0.347498i | ||||
\(316\) | −9.30890 | − | 5.37450i | −0.523667 | − | 0.302339i | ||||
\(317\) | 8.17705 | − | 14.1631i | 0.459269 | − | 0.795477i | −0.539653 | − | 0.841887i | \(-0.681445\pi\) |
0.998922 | + | 0.0464099i | \(0.0147780\pi\) | |||||||
\(318\) | −9.80408 | − | 2.49140i | −0.549785 | − | 0.139711i | ||||
\(319\) | −2.90302 | − | 5.02818i | −0.162538 | − | 0.281524i | ||||
\(320\) | −0.280722 | − | 2.21838i | −0.0156928 | − | 0.124011i | ||||
\(321\) | 3.40314 | − | 0.959263i | 0.189945 | − | 0.0535409i | ||||
\(322\) | −3.76204 | + | 6.51605i | −0.209650 | + | 0.363125i | ||||
\(323\) | 9.13085 | − | 5.27170i | 0.508054 | − | 0.293325i | ||||
\(324\) | −8.98793 | + | 0.465914i | −0.499330 | + | 0.0258841i | ||||
\(325\) | 22.2716 | + | 22.7238i | 1.23541 | + | 1.26049i | ||||
\(326\) | − | 2.35826i | − | 0.130612i | ||||||
\(327\) | −6.56622 | − | 6.39834i | −0.363113 | − | 0.353829i | ||||
\(328\) | 0.504431 | − | 0.291233i | 0.0278525 | − | 0.0160807i | ||||
\(329\) | −5.69900 | − | 3.29032i | −0.314196 | − | 0.181401i | ||||
\(330\) | −4.48701 | − | 0.554596i | −0.247002 | − | 0.0305295i | ||||
\(331\) | 7.86876 | − | 4.54303i | 0.432506 | − | 0.249707i | −0.267908 | − | 0.963445i | \(-0.586332\pi\) |
0.700414 | + | 0.713737i | \(0.252999\pi\) | |||||||
\(332\) | 2.79531 | − | 1.61388i | 0.153413 | − | 0.0885729i | ||||
\(333\) | −13.7260 | − | 7.45768i | −0.752182 | − | 0.408678i | ||||
\(334\) | 3.61526 | + | 2.08727i | 0.197818 | + | 0.114211i | ||||
\(335\) | 3.42951 | + | 4.51624i | 0.187374 | + | 0.246748i | ||||
\(336\) | −1.18913 | − | 4.21863i | −0.0648723 | − | 0.230145i | ||||
\(337\) | −30.3494 | −1.65324 | −0.826619 | − | 0.562762i | \(-0.809739\pi\) | ||||
−0.826619 | + | 0.562762i | \(0.809739\pi\) | |||||||
\(338\) | 13.7480 | − | 23.8122i | 0.747790 | − | 1.29521i | ||||
\(339\) | −5.36680 | + | 21.1193i | −0.291485 | + | 1.14704i | ||||
\(340\) | 3.41759 | − | 8.13493i | 0.185345 | − | 0.441179i | ||||
\(341\) | −4.94591 | + | 4.21690i | −0.267836 | + | 0.228358i | ||||
\(342\) | −7.04318 | − | 3.82673i | −0.380852 | − | 0.206926i | ||||
\(343\) | − | 19.2229i | − | 1.03794i | ||||||
\(344\) | 0.106364 | − | 0.184228i | 0.00573476 | − | 0.00993290i | ||||
\(345\) | 9.19119 | + | 6.93765i | 0.494837 | + | 0.373510i | ||||
\(346\) | −6.74927 | − | 11.6901i | −0.362843 | − | 0.628462i | ||||
\(347\) | 8.16914 | + | 4.71646i | 0.438542 | + | 0.253193i | 0.702979 | − | 0.711210i | \(-0.251853\pi\) |
−0.264437 | + | 0.964403i | \(0.585186\pi\) | |||||||
\(348\) | −6.16983 | − | 6.01209i | −0.330738 | − | 0.322282i | ||||
\(349\) | −5.45162 | −0.291819 | −0.145909 | − | 0.989298i | \(-0.546611\pi\) | ||||
−0.145909 | + | 0.989298i | \(0.546611\pi\) | |||||||
\(350\) | 12.1880 | + | 3.39742i | 0.651478 | + | 0.181600i | ||||
\(351\) | −32.2480 | − | 7.31143i | −1.72127 | − | 0.390255i | ||||
\(352\) | 0.583678 | + | 1.01096i | 0.0311101 | + | 0.0538843i | ||||
\(353\) | −20.6931 | − | 11.9472i | −1.10138 | − | 0.635883i | −0.164798 | − | 0.986327i | \(-0.552697\pi\) |
−0.936584 | + | 0.350444i | \(0.886031\pi\) | |||||||
\(354\) | −5.43538 | − | 19.2829i | −0.288887 | − | 1.02488i | ||||
\(355\) | 20.7074 | + | 27.2690i | 1.09903 | + | 1.44729i | ||||
\(356\) | 12.6584 | 0.670894 | ||||||||
\(357\) | 4.25977 | − | 16.7629i | 0.225451 | − | 0.887187i | ||||
\(358\) | −7.50882 | + | 13.0057i | −0.396854 | + | 0.687371i | ||||
\(359\) | 7.81527 | − | 4.51215i | 0.412474 | − | 0.238142i | −0.279378 | − | 0.960181i | \(-0.590128\pi\) |
0.691852 | + | 0.722039i | \(0.256795\pi\) | |||||||
\(360\) | −6.63109 | + | 1.01420i | −0.349489 | + | 0.0534532i | ||||
\(361\) | 5.93054 | + | 10.2720i | 0.312134 | + | 0.540631i | ||||
\(362\) | −2.21896 | + | 1.28112i | −0.116626 | + | 0.0673339i | ||||
\(363\) | −16.0662 | + | 4.52867i | −0.843257 | + | 0.237694i | ||||
\(364\) | − | 16.1034i | − | 0.844049i | ||||||
\(365\) | 13.5529 | − | 10.2918i | 0.709394 | − | 0.538695i | ||||
\(366\) | 9.45108 | − | 9.69905i | 0.494016 | − | 0.506978i | ||||
\(367\) | 15.7765 | + | 27.3257i | 0.823525 | + | 1.42639i | 0.903041 | + | 0.429554i | \(0.141329\pi\) |
−0.0795162 | + | 0.996834i | \(0.525338\pi\) | |||||||
\(368\) | − | 2.97331i | − | 0.154995i | ||||||
\(369\) | −0.912590 | − | 1.49016i | −0.0475076 | − | 0.0775748i | ||||
\(370\) | −10.7345 | − | 4.50971i | −0.558061 | − | 0.234449i | ||||
\(371\) | −14.7791 | −0.767292 | ||||||||
\(372\) | −5.36571 | + | 8.01306i | −0.278199 | + | 0.415458i | ||||
\(373\) | 9.79690i | 0.507264i | 0.967301 | + | 0.253632i | \(0.0816253\pi\) | ||||
−0.967301 | + | 0.253632i | \(0.918375\pi\) | |||||||
\(374\) | 4.60646i | 0.238194i | ||||||||
\(375\) | 7.44867 | − | 17.8750i | 0.384648 | − | 0.923063i | ||||
\(376\) | 2.60049 | 0.134110 | ||||||||
\(377\) | −15.8253 | − | 27.4102i | −0.815045 | − | 1.41170i | ||||
\(378\) | −12.5593 | + | 3.89389i | −0.645980 | + | 0.200280i | ||||
\(379\) | −10.2994 | + | 17.8392i | −0.529047 | + | 0.916336i | 0.470379 | + | 0.882464i | \(0.344117\pi\) |
−0.999426 | + | 0.0338717i | \(0.989216\pi\) | |||||||
\(380\) | −5.50816 | − | 2.31405i | −0.282563 | − | 0.118708i | ||||
\(381\) | 31.6006 | − | 8.90743i | 1.61895 | − | 0.456342i | ||||
\(382\) | 6.67352 | − | 3.85296i | 0.341447 | − | 0.197135i | ||||
\(383\) | 25.4503 | − | 14.6938i | 1.30045 | − | 0.750816i | 0.319970 | − | 0.947428i | \(-0.396327\pi\) |
0.980481 | + | 0.196612i | \(0.0629939\pi\) | |||||||
\(384\) | 1.24050 | + | 1.20878i | 0.0633040 | + | 0.0616855i | ||||
\(385\) | −6.55317 | + | 0.829263i | −0.333980 | + | 0.0422631i | ||||
\(386\) | −7.14681 | − | 4.12622i | −0.363763 | − | 0.210019i | ||||
\(387\) | −0.560760 | − | 0.304674i | −0.0285050 | − | 0.0154875i | ||||
\(388\) | − | 11.6154i | − | 0.589683i | ||||||
\(389\) | 1.62322 | − | 2.81150i | 0.0823006 | − | 0.142549i | −0.821937 | − | 0.569578i | \(-0.807107\pi\) |
0.904238 | + | 0.427029i | \(0.140440\pi\) | |||||||
\(390\) | −24.4601 | − | 3.02329i | −1.23859 | − | 0.153090i | ||||
\(391\) | 5.86644 | − | 10.1610i | 0.296679 | − | 0.513862i | ||||
\(392\) | 0.298188 | + | 0.516477i | 0.0150608 | + | 0.0260861i | ||||
\(393\) | −2.34646 | − | 8.32445i | −0.118363 | − | 0.419913i | ||||
\(394\) | −22.0501 | + | 12.7306i | −1.11087 | + | 0.641360i | ||||
\(395\) | −9.30945 | + | 22.1594i | −0.468409 | + | 1.11496i | ||||
\(396\) | 2.98652 | − | 1.82898i | 0.150078 | − | 0.0919095i | ||||
\(397\) | −23.6825 | − | 13.6731i | −1.18859 | − | 0.686232i | −0.230603 | − | 0.973048i | \(-0.574070\pi\) |
−0.957986 | + | 0.286816i | \(0.907403\pi\) | |||||||
\(398\) | 15.1490 | − | 8.74625i | 0.759349 | − | 0.438410i | ||||
\(399\) | −11.3501 | − | 2.88429i | −0.568218 | − | 0.144395i | ||||
\(400\) | −4.84239 | + | 1.24549i | −0.242120 | + | 0.0622746i | ||||
\(401\) | −9.60608 | −0.479705 | −0.239852 | − | 0.970809i | \(-0.577099\pi\) | ||||
−0.239852 | + | 0.970809i | \(0.577099\pi\) | |||||||
\(402\) | −4.25727 | − | 1.08185i | −0.212333 | − | 0.0539579i | ||||
\(403\) | −26.9618 | + | 22.9877i | −1.34306 | + | 1.14510i | ||||
\(404\) | 2.60547i | 0.129627i | ||||||||
\(405\) | 3.55668 | + | 19.8078i | 0.176733 | + | 0.984259i | ||||
\(406\) | −10.8998 | − | 6.29302i | −0.540950 | − | 0.312318i | ||||
\(407\) | 6.07849 | 0.301299 | ||||||||
\(408\) | 1.85430 | + | 6.57843i | 0.0918016 | + | 0.325681i | ||||
\(409\) | 26.5680 | + | 15.3390i | 1.31370 | + | 0.758466i | 0.982707 | − | 0.185167i | \(-0.0592824\pi\) |
0.330995 | + | 0.943633i | \(0.392616\pi\) | |||||||
\(410\) | −0.787670 | − | 1.03726i | −0.0389002 | − | 0.0512267i | ||||
\(411\) | −16.6685 | − | 4.23579i | −0.822198 | − | 0.208936i | ||||
\(412\) | −11.9006 | + | 6.87079i | −0.586298 | + | 0.338499i | ||||
\(413\) | −14.6351 | − | 25.3488i | −0.720148 | − | 1.24733i | ||||
\(414\) | −8.91695 | + | 0.230962i | −0.438244 | + | 0.0113512i | ||||
\(415\) | −4.36489 | − | 5.74801i | −0.214264 | − | 0.282159i | ||||
\(416\) | 3.18182 | + | 5.51107i | 0.156002 | + | 0.270203i | ||||
\(417\) | 6.38237 | − | 6.54982i | 0.312546 | − | 0.320746i | ||||
\(418\) | 3.11903 | 0.152557 | ||||||||
\(419\) | 8.50389i | 0.415442i | 0.978188 | + | 0.207721i | \(0.0666047\pi\) | ||||
−0.978188 | + | 0.207721i | \(0.933395\pi\) | |||||||
\(420\) | −9.02470 | + | 3.82220i | −0.440360 | + | 0.186504i | ||||
\(421\) | 2.12626 | + | 3.68278i | 0.103627 | + | 0.179488i | 0.913177 | − | 0.407564i | \(-0.133622\pi\) |
−0.809549 | + | 0.587052i | \(0.800288\pi\) | |||||||
\(422\) | −11.6155 | + | 20.1187i | −0.565436 | + | 0.979364i | ||||
\(423\) | −0.202002 | − | 7.79885i | −0.00982166 | − | 0.379193i | ||||
\(424\) | 5.05784 | − | 2.92015i | 0.245630 | − | 0.141815i | ||||
\(425\) | −19.0057 | − | 5.29785i | −0.921914 | − | 0.256984i | ||||
\(426\) | −25.7054 | − | 6.53223i | −1.24543 | − | 0.316488i | ||||
\(427\) | 9.89272 | − | 17.1347i | 0.478742 | − | 0.829206i | ||||
\(428\) | −1.02068 | + | 1.76788i | −0.0493367 | + | 0.0854536i | ||||
\(429\) | 12.3842 | − | 3.49080i | 0.597914 | − | 0.168538i | ||||
\(430\) | −0.438545 | − | 0.184239i | −0.0211485 | − | 0.00888477i | ||||
\(431\) | −3.67853 | − | 2.12380i | −0.177189 | − | 0.102300i | 0.408782 | − | 0.912632i | \(-0.365953\pi\) |
−0.585971 | + | 0.810332i | \(0.699287\pi\) | |||||||
\(432\) | 3.52878 | − | 3.81415i | 0.169778 | − | 0.183508i | ||||
\(433\) | 26.6589 | 1.28115 | 0.640573 | − | 0.767898i | \(-0.278697\pi\) | ||||
0.640573 | + | 0.767898i | \(0.278697\pi\) | |||||||
\(434\) | −4.71450 | + | 13.2773i | −0.226303 | + | 0.637329i | ||||
\(435\) | −11.6051 | + | 15.3747i | −0.556421 | + | 0.737162i | ||||
\(436\) | 5.29320 | 0.253498 | ||||||||
\(437\) | −6.87999 | − | 3.97216i | −0.329114 | − | 0.190014i | ||||
\(438\) | −3.24658 | + | 12.7758i | −0.155127 | + | 0.610452i | ||||
\(439\) | −5.46842 | − | 9.47159i | −0.260994 | − | 0.452054i | 0.705513 | − | 0.708697i | \(-0.250717\pi\) |
−0.966506 | + | 0.256643i | \(0.917384\pi\) | |||||||
\(440\) | 2.07884 | − | 1.57862i | 0.0991047 | − | 0.0752576i | ||||
\(441\) | 1.52575 | − | 0.934384i | 0.0726548 | − | 0.0444945i | ||||
\(442\) | 25.1113i | 1.19442i | ||||||||
\(443\) | −17.1646 | − | 29.7300i | −0.815516 | − | 1.41251i | −0.908957 | − | 0.416890i | \(-0.863120\pi\) |
0.0934414 | − | 0.995625i | \(-0.470213\pi\) | |||||||
\(444\) | 8.68062 | − | 2.44686i | 0.411964 | − | 0.116123i | ||||
\(445\) | −3.55349 | − | 28.0811i | −0.168451 | − | 1.33117i | ||||
\(446\) | −12.7804 | + | 22.1364i | −0.605171 | + | 1.04819i | ||||
\(447\) | 7.42058 | + | 26.3257i | 0.350981 | + | 1.24516i | ||||
\(448\) | 2.19151 | + | 1.26527i | 0.103539 | + | 0.0597783i | ||||
\(449\) | −20.8543 | −0.984176 | −0.492088 | − | 0.870546i | \(-0.663766\pi\) | ||||
−0.492088 | + | 0.870546i | \(0.663766\pi\) | |||||||
\(450\) | 4.11137 | + | 14.4256i | 0.193812 | + | 0.680027i | ||||
\(451\) | 0.588850 | + | 0.339973i | 0.0277279 | + | 0.0160087i | ||||
\(452\) | −6.29037 | − | 10.8952i | −0.295874 | − | 0.512469i | ||||
\(453\) | −11.9645 | + | 12.2784i | −0.562143 | + | 0.576891i | ||||
\(454\) | 9.83982 | + | 17.0431i | 0.461805 | + | 0.799870i | ||||
\(455\) | −35.7235 | + | 4.52058i | −1.67474 | + | 0.211928i | ||||
\(456\) | 4.45425 | − | 1.25555i | 0.208590 | − | 0.0587963i | ||||
\(457\) | −9.71757 | −0.454569 | −0.227284 | − | 0.973828i | \(-0.572985\pi\) | ||||
−0.227284 | + | 0.973828i | \(0.572985\pi\) | |||||||
\(458\) | −0.583432 | − | 0.336845i | −0.0272620 | − | 0.0157397i | ||||
\(459\) | 19.5846 | − | 6.07204i | 0.914133 | − | 0.283419i | ||||
\(460\) | −6.59593 | + | 0.834673i | −0.307537 | + | 0.0389168i | ||||
\(461\) | −28.0073 | −1.30443 | −0.652214 | − | 0.758035i | \(-0.726160\pi\) | ||||
−0.652214 | + | 0.758035i | \(0.726160\pi\) | |||||||
\(462\) | 3.57080 | − | 3.66448i | 0.166129 | − | 0.170487i | ||||
\(463\) | 6.55196 | 0.304496 | 0.152248 | − | 0.988342i | \(-0.451349\pi\) | ||||
0.152248 | + | 0.988342i | \(0.451349\pi\) | |||||||
\(464\) | 4.97367 | 0.230897 | ||||||||
\(465\) | 19.2823 | + | 9.65373i | 0.894193 | + | 0.447681i | ||||
\(466\) | −25.5858 | −1.18524 | ||||||||
\(467\) | 6.66673 | 0.308499 | 0.154250 | − | 0.988032i | \(-0.450704\pi\) | ||||
0.154250 | + | 0.988032i | \(0.450704\pi\) | |||||||
\(468\) | 16.2805 | − | 9.97035i | 0.752567 | − | 0.460880i | ||||
\(469\) | −6.41759 | −0.296337 | ||||||||
\(470\) | −0.730014 | − | 5.76886i | −0.0336730 | − | 0.266098i | ||||
\(471\) | 5.33495 | − | 5.47492i | 0.245821 | − | 0.252271i | ||||
\(472\) | 10.0172 | + | 5.78341i | 0.461077 | + | 0.266203i | ||||
\(473\) | 0.248329 | 0.0114182 | ||||||||
\(474\) | −5.05108 | − | 17.9195i | −0.232004 | − | 0.823071i | ||||
\(475\) | −3.58717 | + | 12.8688i | −0.164591 | + | 0.590460i | ||||
\(476\) | 4.99283 | + | 8.64784i | 0.228846 | + | 0.396373i | ||||
\(477\) | −9.15038 | − | 14.9416i | −0.418967 | − | 0.684129i | ||||
\(478\) | −12.1832 | − | 21.1019i | −0.557246 | − | 0.965178i | ||||
\(479\) | 35.9059 | + | 20.7303i | 1.64058 | + | 0.947190i | 0.980627 | + | 0.195883i | \(0.0627574\pi\) |
0.659954 | + | 0.751306i | \(0.270576\pi\) | |||||||
\(480\) | 2.33331 | − | 3.09123i | 0.106500 | − | 0.141095i | ||||
\(481\) | 33.1358 | 1.51086 | ||||||||
\(482\) | −22.6146 | − | 13.0565i | −1.03007 | − | 0.594709i | ||||
\(483\) | −12.5433 | + | 3.53565i | −0.570740 | + | 0.160878i | ||||
\(484\) | 4.81864 | − | 8.34613i | 0.219029 | − | 0.379370i | ||||
\(485\) | −25.7674 | + | 3.26070i | −1.17004 | + | 0.148061i | ||||
\(486\) | −11.7127 | − | 10.2865i | −0.531300 | − | 0.466606i | ||||
\(487\) | −7.67498 | − | 13.2935i | −0.347787 | − | 0.602384i | 0.638069 | − | 0.769979i | \(-0.279733\pi\) |
−0.985856 | + | 0.167595i | \(0.946400\pi\) | |||||||
\(488\) | 7.81867i | 0.353934i | ||||||||
\(489\) | 2.85063 | − | 2.92542i | 0.128910 | − | 0.132292i | ||||
\(490\) | 1.06203 | − | 0.806481i | 0.0479778 | − | 0.0364331i | ||||
\(491\) | −8.51286 | − | 14.7447i | −0.384180 | − | 0.665419i | 0.607475 | − | 0.794339i | \(-0.292182\pi\) |
−0.991655 | + | 0.128920i | \(0.958849\pi\) | |||||||
\(492\) | 0.977785 | + | 0.248474i | 0.0440819 | + | 0.0112021i | ||||
\(493\) | 16.9970 | + | 9.81320i | 0.765504 | + | 0.441964i | ||||
\(494\) | 17.0029 | 0.764995 | ||||||||
\(495\) | −4.89574 | − | 6.11180i | −0.220047 | − | 0.274705i | ||||
\(496\) | −1.00997 | − | 5.47540i | −0.0453488 | − | 0.245853i | ||||
\(497\) | −38.7494 | −1.73815 | ||||||||
\(498\) | 5.41841 | + | 1.37692i | 0.242805 | + | 0.0617013i | ||||
\(499\) | 9.32152 | + | 5.38178i | 0.417289 | + | 0.240922i | 0.693917 | − | 0.720055i | \(-0.255884\pi\) |
−0.276628 | + | 0.960977i | \(0.589217\pi\) | |||||||
\(500\) | 4.12234 | + | 10.3926i | 0.184356 | + | 0.464772i | ||||
\(501\) | 1.96167 | + | 6.95934i | 0.0876409 | + | 0.310920i | ||||
\(502\) | −8.56462 | + | 14.8344i | −0.382258 | + | 0.662090i | ||||
\(503\) | 9.45987 | − | 16.3850i | 0.421795 | − | 0.730570i | −0.574321 | − | 0.818631i | \(-0.694734\pi\) |
0.996115 | + | 0.0880609i | \(0.0280670\pi\) | |||||||
\(504\) | 3.62430 | − | 6.67061i | 0.161439 | − | 0.297133i | ||||
\(505\) | 5.77992 | − | 0.731413i | 0.257203 | − | 0.0325475i | ||||
\(506\) | 3.00590 | − | 1.73546i | 0.133629 | − | 0.0771505i | ||||
\(507\) | 45.8381 | − | 12.9207i | 2.03574 | − | 0.573826i | ||||
\(508\) | −9.47777 | + | 16.4160i | −0.420508 | + | 0.728341i | ||||
\(509\) | −14.0362 | − | 24.3114i | −0.622144 | − | 1.07758i | −0.989086 | − | 0.147341i | \(-0.952929\pi\) |
0.366942 | − | 0.930244i | \(-0.380405\pi\) | |||||||
\(510\) | 14.0729 | − | 5.96025i | 0.623159 | − | 0.263924i | ||||
\(511\) | 19.2588i | 0.851959i | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −4.11137 | − | 13.2608i | −0.181522 | − | 0.585476i | ||||
\(514\) | 6.32974 | + | 10.9634i | 0.279193 | + | 0.483576i | ||||
\(515\) | 18.5827 | + | 24.4711i | 0.818853 | + | 1.07833i | ||||
\(516\) | 0.354636 | − | 0.0999633i | 0.0156120 | − | 0.00440064i | ||||
\(517\) | 1.51785 | + | 2.62899i | 0.0667549 | + | 0.115623i | ||||
\(518\) | 11.4113 | − | 6.58833i | 0.501384 | − | 0.289474i | ||||
\(519\) | 5.75832 | − | 22.6599i | 0.252762 | − | 0.994661i | ||||
\(520\) | 11.3324 | − | 8.60555i | 0.496960 | − | 0.377379i | ||||
\(521\) | 34.9512 | + | 20.1791i | 1.53124 | + | 0.884062i | 0.999305 | + | 0.0372764i | \(0.0118682\pi\) |
0.531935 | + | 0.846785i | \(0.321465\pi\) | |||||||
\(522\) | −0.386346 | − | 14.9160i | −0.0169099 | − | 0.652855i | ||||
\(523\) | −22.2396 | −0.972468 | −0.486234 | − | 0.873829i | \(-0.661630\pi\) | ||||
−0.486234 | + | 0.873829i | \(0.661630\pi\) | |||||||
\(524\) | 4.32442 | + | 2.49670i | 0.188913 | + | 0.109069i | ||||
\(525\) | 11.0125 | + | 18.9472i | 0.480625 | + | 0.826924i | ||||
\(526\) | − | 7.65133i | − | 0.333614i | ||||||
\(527\) | 7.35168 | − | 20.7043i | 0.320244 | − | 0.901892i | ||||
\(528\) | −0.497981 | + | 1.95964i | −0.0216718 | + | 0.0852822i | ||||
\(529\) | 14.1594 | 0.615627 | ||||||||
\(530\) | −7.89783 | − | 10.4004i | −0.343060 | − | 0.451767i | ||||
\(531\) | 16.5663 | − | 30.4907i | 0.718916 | − | 1.32318i | ||||
\(532\) | 5.85544 | − | 3.38064i | 0.253866 | − | 0.146569i | ||||
\(533\) | 3.21002 | + | 1.85330i | 0.139041 | + | 0.0802755i | ||||
\(534\) | 15.7027 | + | 15.3013i | 0.679524 | + | 0.662151i | ||||
\(535\) | 4.20835 | + | 1.76798i | 0.181943 | + | 0.0764365i | ||||
\(536\) | 2.19629 | − | 1.26803i | 0.0948653 | − | 0.0547705i | ||||
\(537\) | −25.0357 | + | 7.05697i | −1.08037 | + | 0.304531i | ||||
\(538\) | −0.846925 | − | 1.46692i | −0.0365135 | − | 0.0632433i | ||||
\(539\) | −0.348092 | + | 0.602913i | −0.0149934 | + | 0.0259693i | ||||
\(540\) | −9.45182 | − | 6.75745i | −0.406742 | − | 0.290794i | ||||
\(541\) | −21.8294 | + | 37.8096i | −0.938518 | + | 1.62556i | −0.170280 | + | 0.985396i | \(0.554467\pi\) |
−0.768238 | + | 0.640165i | \(0.778866\pi\) | |||||||
\(542\) | 30.2591i | 1.29974i | ||||||||
\(543\) | −4.30121 | − | 1.09302i | −0.184583 | − | 0.0469059i | ||||
\(544\) | −3.41739 | − | 1.97303i | −0.146519 | − | 0.0845930i | ||||
\(545\) | −1.48592 | − | 11.7423i | −0.0636497 | − | 0.502986i | ||||
\(546\) | 19.4656 | − | 19.9763i | 0.833050 | − | 0.854907i | ||||
\(547\) | 0.00396456 | − | 0.00228894i | 0.000169512 | − | 9.78679e-5i | −0.499915 | − | 0.866074i | \(-0.666636\pi\) |
0.500085 | + | 0.865976i | \(0.333302\pi\) | |||||||
\(548\) | 8.59916 | − | 4.96473i | 0.367338 | − | 0.212083i | ||||
\(549\) | 23.4481 | − | 0.607341i | 1.00074 | − | 0.0259207i | ||||
\(550\) | −4.08554 | − | 4.16850i | −0.174208 | − | 0.177745i | ||||
\(551\) | 6.64451 | − | 11.5086i | 0.283066 | − | 0.490284i | ||||
\(552\) | 3.59410 | − | 3.68839i | 0.152975 | − | 0.156988i | ||||
\(553\) | −13.6004 | − | 23.5565i | −0.578347 | − | 1.00173i | ||||
\(554\) | −32.9288 | −1.39901 | ||||||||
\(555\) | −7.86489 | − | 18.5700i | −0.333846 | − | 0.788253i | ||||
\(556\) | 5.27999i | 0.223921i | ||||||||
\(557\) | − | 7.40927i | − | 0.313941i | −0.987603 | − | 0.156970i | \(-0.949827\pi\) | ||
0.987603 | − | 0.156970i | \(-0.0501728\pi\) | |||||||
\(558\) | −16.3422 | + | 3.45420i | −0.691822 | + | 0.146228i | ||||
\(559\) | 1.35372 | 0.0572564 | ||||||||
\(560\) | 2.19164 | − | 5.21678i | 0.0926137 | − | 0.220449i | ||||
\(561\) | −5.56822 | + | 5.71431i | −0.235090 | + | 0.241258i | ||||
\(562\) | − | 13.9762i | − | 0.589552i | ||||||
\(563\) | −8.14483 | − | 14.1073i | −0.343264 | − | 0.594550i | 0.641773 | − | 0.766895i | \(-0.278199\pi\) |
−0.985037 | + | 0.172344i | \(0.944866\pi\) | |||||||
\(564\) | 3.22591 | + | 3.14343i | 0.135835 | + | 0.132362i | ||||
\(565\) | −22.4039 | + | 17.0129i | −0.942540 | + | 0.715740i | ||||
\(566\) | 11.4141i | 0.479771i | ||||||||
\(567\) | −20.2867 | − | 10.3511i | −0.851959 | − | 0.434705i | ||||
\(568\) | 13.2612 | − | 7.65636i | 0.556428 | − | 0.321254i | ||||
\(569\) | −5.77803 | − | 10.0078i | −0.242228 | − | 0.419551i | 0.719121 | − | 0.694885i | \(-0.244545\pi\) |
−0.961349 | + | 0.275334i | \(0.911211\pi\) | |||||||
\(570\) | −4.03568 | − | 9.52875i | −0.169036 | − | 0.399116i | ||||
\(571\) | −2.86065 | + | 1.65160i | −0.119715 | + | 0.0691173i | −0.558662 | − | 0.829396i | \(-0.688685\pi\) |
0.438947 | + | 0.898513i | \(0.355352\pi\) | |||||||
\(572\) | −3.71432 | + | 6.43339i | −0.155303 | + | 0.268993i | ||||
\(573\) | 12.9359 | + | 3.28726i | 0.540405 | + | 0.137327i | ||||
\(574\) | 1.47395 | 0.0615217 | ||||||||
\(575\) | 3.70324 | + | 14.3979i | 0.154436 | + | 0.600436i | ||||
\(576\) | 0.0776784 | + | 2.99899i | 0.00323660 | + | 0.124958i | ||||
\(577\) | 33.1201 | + | 19.1219i | 1.37881 | + | 0.796054i | 0.992016 | − | 0.126114i | \(-0.0402505\pi\) |
0.386790 | + | 0.922168i | \(0.373584\pi\) | |||||||
\(578\) | 0.714295 | + | 1.23719i | 0.0297107 | + | 0.0514605i | ||||
\(579\) | −3.87791 | − | 13.7575i | −0.161161 | − | 0.571743i | ||||
\(580\) | −1.39622 | − | 11.0335i | −0.0579747 | − | 0.458140i | ||||
\(581\) | 8.16795 | 0.338864 | ||||||||
\(582\) | 14.0405 | − | 14.4089i | 0.581999 | − | 0.597269i | ||||
\(583\) | 5.90430 | + | 3.40885i | 0.244531 | + | 0.141180i | ||||
\(584\) | −3.80528 | − | 6.59093i | −0.157463 | − | 0.272735i | ||||
\(585\) | −26.6883 | − | 33.3174i | −1.10343 | − | 1.37751i | ||||
\(586\) | −2.33280 | + | 4.04052i | −0.0963669 | + | 0.166912i | ||||
\(587\) | 28.9143i | 1.19342i | 0.802457 | + | 0.596710i | \(0.203526\pi\) | ||||
−0.802457 | + | 0.596710i | \(0.796474\pi\) | |||||||
\(588\) | −0.254408 | + | 1.00114i | −0.0104916 | + | 0.0412861i | ||||
\(589\) | −14.0188 | − | 4.97782i | −0.577636 | − | 0.205107i | ||||
\(590\) | 10.0177 | − | 23.8454i | 0.412424 | − | 0.981698i | ||||
\(591\) | −42.7417 | − | 10.8615i | −1.75816 | − | 0.446782i | ||||
\(592\) | −2.60353 | + | 4.50944i | −0.107004 | + | 0.185337i | ||||
\(593\) | 10.9026 | 0.447718 | 0.223859 | − | 0.974622i | \(-0.428135\pi\) | ||||
0.223859 | + | 0.974622i | \(0.428135\pi\) | |||||||
\(594\) | 5.91562 | + | 1.34122i | 0.242721 | + | 0.0550309i | ||||
\(595\) | 17.7826 | − | 13.5036i | 0.729014 | − | 0.553594i | ||||
\(596\) | −13.6758 | − | 7.89572i | −0.560182 | − | 0.323421i | ||||
\(597\) | 29.3646 | + | 7.46211i | 1.20181 | + | 0.305404i | ||||
\(598\) | 16.3861 | − | 9.46055i | 0.670079 | − | 0.386871i | ||||
\(599\) | −39.3112 | + | 22.6963i | −1.60621 | + | 0.927348i | −0.616006 | + | 0.787741i | \(0.711250\pi\) |
−0.990207 | + | 0.139606i | \(0.955416\pi\) | |||||||
\(600\) | −7.51252 | − | 4.30838i | −0.306697 | − | 0.175889i | ||||
\(601\) | 10.1555 | + | 5.86329i | 0.414252 | + | 0.239169i | 0.692615 | − | 0.721307i | \(-0.256458\pi\) |
−0.278363 | + | 0.960476i | \(0.589792\pi\) | |||||||
\(602\) | 0.466195 | − | 0.269158i | 0.0190007 | − | 0.0109701i | ||||
\(603\) | −3.97342 | − | 6.48816i | −0.161810 | − | 0.264218i | ||||
\(604\) | − | 9.89798i | − | 0.402743i | ||||||
\(605\) | −19.8676 | − | 8.34662i | −0.807731 | − | 0.339338i | ||||
\(606\) | −3.14946 | + | 3.23209i | −0.127938 | + | 0.131295i | ||||
\(607\) | 30.2803 | − | 17.4824i | 1.22904 | − | 0.709587i | 0.262212 | − | 0.965010i | \(-0.415548\pi\) |
0.966829 | + | 0.255423i | \(0.0822147\pi\) | |||||||
\(608\) | −1.33594 | + | 2.31391i | −0.0541794 | + | 0.0938416i | ||||
\(609\) | −5.91433 | − | 20.9821i | −0.239661 | − | 0.850236i | ||||
\(610\) | 17.3447 | − | 2.19487i | 0.702268 | − | 0.0888676i | ||||
\(611\) | 8.27429 | + | 14.3315i | 0.334742 | + | 0.579790i | ||||
\(612\) | −5.65165 | + | 10.4020i | −0.228454 | + | 0.420476i | ||||
\(613\) | −13.2279 | + | 22.9115i | −0.534271 | + | 0.925385i | 0.464927 | + | 0.885349i | \(0.346081\pi\) |
−0.999198 | + | 0.0400358i | \(0.987253\pi\) | |||||||
\(614\) | 6.69856 | + | 3.86742i | 0.270332 | + | 0.156076i | ||||
\(615\) | 0.276723 | − | 2.23885i | 0.0111585 | − | 0.0902790i | ||||
\(616\) | 2.95404i | 0.119022i | ||||||||
\(617\) | 12.1881 | − | 21.1104i | 0.490674 | − | 0.849873i | −0.509268 | − | 0.860608i | \(-0.670084\pi\) |
0.999942 | + | 0.0107352i | \(0.00341717\pi\) | |||||||
\(618\) | −23.0679 | − | 5.86200i | −0.927929 | − | 0.235804i | ||||
\(619\) | 42.7518i | 1.71834i | 0.511690 | + | 0.859170i | \(0.329020\pi\) | ||||
−0.511690 | + | 0.859170i | \(0.670980\pi\) | |||||||
\(620\) | −11.8630 | + | 3.77755i | −0.476428 | + | 0.151710i | ||||
\(621\) | −11.3407 | − | 10.4922i | −0.455085 | − | 0.421036i | ||||
\(622\) | − | 3.48291i | − | 0.139652i | ||||||
\(623\) | 27.7410 | + | 16.0163i | 1.11142 | + | 0.641679i | ||||
\(624\) | −2.71466 | + | 10.6826i | −0.108673 | + | 0.427647i | ||||
\(625\) | 21.8975 | − | 12.0623i | 0.875900 | − | 0.482493i | ||||
\(626\) | −0.752791 | + | 1.30387i | −0.0300876 | + | 0.0521132i | ||||
\(627\) | 3.86916 | + | 3.77024i | 0.154519 | + | 0.150569i | ||||
\(628\) | 4.41348i | 0.176117i | ||||||||
\(629\) | −17.7945 | + | 10.2737i | −0.709515 | + | 0.409639i | ||||
\(630\) | −15.8153 | − | 6.16748i | −0.630099 | − | 0.245718i | ||||
\(631\) | −4.38109 | + | 2.52942i | −0.174408 | + | 0.100695i | −0.584663 | − | 0.811276i | \(-0.698773\pi\) |
0.410254 | + | 0.911971i | \(0.365440\pi\) | |||||||
\(632\) | 9.30890 | + | 5.37450i | 0.370288 | + | 0.213786i | ||||
\(633\) | −38.7283 | + | 10.9166i | −1.53931 | + | 0.433895i | ||||
\(634\) | −8.17705 | + | 14.1631i | −0.324752 | + | 0.562487i | ||||
\(635\) | 39.0775 | + | 16.4169i | 1.55074 | + | 0.651487i | ||||
\(636\) | 9.80408 | + | 2.49140i | 0.388757 | + | 0.0987905i | ||||
\(637\) | −1.89756 | + | 3.28668i | −0.0751842 | + | 0.130223i | ||||
\(638\) | 2.90302 | + | 5.02818i | 0.114932 | + | 0.199067i | ||||
\(639\) | −23.9915 | − | 39.1755i | −0.949088 | − | 1.54976i | ||||
\(640\) | 0.280722 | + | 2.21838i | 0.0110965 | + | 0.0876890i | ||||
\(641\) | 22.9201 | + | 39.6989i | 0.905291 | + | 1.56801i | 0.820526 | + | 0.571609i | \(0.193681\pi\) |
0.0847654 | + | 0.996401i | \(0.472986\pi\) | |||||||
\(642\) | −3.40314 | + | 0.959263i | −0.134311 | + | 0.0378591i | ||||
\(643\) | 4.82979 | 0.190468 | 0.0952341 | − | 0.995455i | \(-0.469640\pi\) | ||||
0.0952341 | + | 0.995455i | \(0.469640\pi\) | |||||||
\(644\) | 3.76204 | − | 6.51605i | 0.148245 | − | 0.256768i | ||||
\(645\) | −0.321310 | − | 0.758655i | −0.0126516 | − | 0.0298720i | ||||
\(646\) | −9.13085 | + | 5.27170i | −0.359248 | + | 0.207412i | ||||
\(647\) | 14.0203i | 0.551194i | 0.961273 | + | 0.275597i | \(0.0888756\pi\) | ||||
−0.961273 | + | 0.275597i | \(0.911124\pi\) | |||||||
\(648\) | 8.98793 | − | 0.465914i | 0.353079 | − | 0.0183028i | ||||
\(649\) | 13.5026i | 0.530023i | ||||||||
\(650\) | −22.2716 | − | 22.7238i | −0.873565 | − | 0.891302i | ||||
\(651\) | −21.8977 | + | 10.7716i | −0.858238 | + | 0.422173i | ||||
\(652\) | 2.35826i | 0.0923567i | ||||||||
\(653\) | 32.7400 | 1.28121 | 0.640607 | − | 0.767869i | \(-0.278683\pi\) | ||||
0.640607 | + | 0.767869i | \(0.278683\pi\) | |||||||
\(654\) | 6.56622 | + | 6.39834i | 0.256759 | + | 0.250195i | ||||
\(655\) | 4.32467 | − | 10.2941i | 0.168979 | − | 0.402222i | ||||
\(656\) | −0.504431 | + | 0.291233i | −0.0196947 | + | 0.0113708i | ||||
\(657\) | −19.4706 | + | 11.9240i | −0.759620 | + | 0.465199i | ||||
\(658\) | 5.69900 | + | 3.29032i | 0.222170 | + | 0.128270i | ||||
\(659\) | − | 38.8028i | − | 1.51154i | −0.654836 | − | 0.755771i | \(-0.727262\pi\) | ||
0.654836 | − | 0.755771i | \(-0.272738\pi\) | |||||||
\(660\) | 4.48701 | + | 0.554596i | 0.174656 | + | 0.0215876i | ||||
\(661\) | 19.1710 | + | 33.2052i | 0.745667 | + | 1.29153i | 0.949883 | + | 0.312607i | \(0.101202\pi\) |
−0.204216 | + | 0.978926i | \(0.565464\pi\) | |||||||
\(662\) | −7.86876 | + | 4.54303i | −0.305828 | + | 0.176570i | ||||
\(663\) | −30.3542 | + | 31.1506i | −1.17886 | + | 1.20979i | ||||
\(664\) | −2.79531 | + | 1.61388i | −0.108479 | + | 0.0626305i | ||||
\(665\) | −9.14329 | − | 12.0406i | −0.354562 | − | 0.466913i | ||||
\(666\) | 13.7260 | + | 7.45768i | 0.531873 | + | 0.288979i | ||||
\(667\) | − | 14.7883i | − | 0.572604i | ||||||
\(668\) | −3.61526 | − | 2.08727i | −0.139879 | − | 0.0807591i | ||||
\(669\) | −42.6122 | + | 12.0113i | −1.64748 | + | 0.464386i | ||||
\(670\) | −3.42951 | − | 4.51624i | −0.132494 | − | 0.174477i | ||||
\(671\) | −7.90436 | + | 4.56358i | −0.305144 | + | 0.176175i | ||||
\(672\) | 1.18913 | + | 4.21863i | 0.0458717 | + | 0.162737i | ||||
\(673\) | 14.8730 | + | 25.7608i | 0.573312 | + | 0.993006i | 0.996223 | + | 0.0868347i | \(0.0276752\pi\) |
−0.422910 | + | 0.906172i | \(0.638991\pi\) | |||||||
\(674\) | 30.3494 | 1.16902 | ||||||||
\(675\) | −12.3372 | + | 22.8647i | −0.474860 | + | 0.880061i | ||||
\(676\) | −13.7480 | + | 23.8122i | −0.528768 | + | 0.915853i | ||||
\(677\) | −38.9582 | + | 22.4925i | −1.49729 | + | 0.864459i | −0.999995 | − | 0.00312507i | \(-0.999005\pi\) |
−0.497291 | + | 0.867584i | \(0.665672\pi\) | |||||||
\(678\) | 5.36680 | − | 21.1193i | 0.206111 | − | 0.811080i | ||||
\(679\) | 14.6966 | − | 25.4553i | 0.564005 | − | 0.976885i | ||||
\(680\) | −3.41759 | + | 8.13493i | −0.131059 | + | 0.311960i | ||||
\(681\) | −8.39511 | + | 33.0361i | −0.321701 | + | 1.26595i | ||||
\(682\) | 4.94591 | − | 4.21690i | 0.189389 | − | 0.161474i | ||||
\(683\) | 19.9161 | 0.762068 | 0.381034 | − | 0.924561i | \(-0.375568\pi\) | ||||
0.381034 | + | 0.924561i | \(0.375568\pi\) | |||||||
\(684\) | 7.04318 | + | 3.82673i | 0.269303 | + | 0.146319i | ||||
\(685\) | −13.4276 | − | 17.6825i | −0.513042 | − | 0.675612i | ||||
\(686\) | 19.2229i | 0.733935i | ||||||||
\(687\) | −0.316574 | − | 1.12310i | −0.0120781 | − | 0.0428489i | ||||
\(688\) | −0.106364 | + | 0.184228i | −0.00405509 | + | 0.00702362i | ||||
\(689\) | 32.1863 | + | 18.5828i | 1.22620 | + | 0.707947i | ||||
\(690\) | −9.19119 | − | 6.93765i | −0.349902 | − | 0.264112i | ||||
\(691\) | 3.01668 | + | 5.22504i | 0.114760 | + | 0.198770i | 0.917684 | − | 0.397312i | \(-0.130057\pi\) |
−0.802924 | + | 0.596082i | \(0.796723\pi\) | |||||||
\(692\) | 6.74927 | + | 11.6901i | 0.256569 | + | 0.444390i | ||||
\(693\) | 8.85914 | − | 0.229465i | 0.336531 | − | 0.00871665i | ||||
\(694\) | −8.16914 | − | 4.71646i | −0.310096 | − | 0.179034i | ||||
\(695\) | 11.7130 | − | 1.48221i | 0.444299 | − | 0.0562233i | ||||
\(696\) | 6.16983 | + | 6.01209i | 0.233867 | + | 0.227888i | ||||
\(697\) | −2.29845 | −0.0870600 | ||||||||
\(698\) | 5.45162 | 0.206347 | ||||||||
\(699\) | −31.7391 | − | 30.9277i | −1.20048 | − | 1.16979i | ||||
\(700\) | −12.1880 | − | 3.39742i | −0.460664 | − | 0.128410i | ||||
\(701\) | 13.1260 | + | 7.57832i | 0.495764 | + | 0.286229i | 0.726962 | − | 0.686677i | \(-0.240931\pi\) |
−0.231199 | + | 0.972907i | \(0.574265\pi\) | |||||||
\(702\) | 32.2480 | + | 7.31143i | 1.21712 | + | 0.275952i | ||||
\(703\) | 6.95630 | + | 12.0487i | 0.262362 | + | 0.454424i | ||||
\(704\) | −0.583678 | − | 1.01096i | −0.0219982 | − | 0.0381020i | ||||
\(705\) | 6.06773 | − | 8.03870i | 0.228524 | − | 0.302755i | ||||
\(706\) | 20.6931 | + | 11.9472i | 0.778795 | + | 0.449637i | ||||
\(707\) | −3.29663 | + | 5.70992i | −0.123982 | + | 0.214744i | ||||
\(708\) | 5.43538 | + | 19.2829i | 0.204274 | + | 0.724696i | ||||
\(709\) | − | 46.2342i | − | 1.73636i | −0.496247 | − | 0.868181i | \(-0.665289\pi\) | ||
0.496247 | − | 0.868181i | \(-0.334711\pi\) | |||||||
\(710\) | −20.7074 | − | 27.2690i | −0.777135 | − | 1.02339i | ||||
\(711\) | 15.3950 | − | 28.3348i | 0.577357 | − | 1.06264i | ||||
\(712\) | −12.6584 | −0.474394 | ||||||||
\(713\) | −16.2801 | + | 3.00295i | −0.609693 | + | 0.112461i | ||||
\(714\) | −4.25977 | + | 16.7629i | −0.159418 | + | 0.627336i | ||||
\(715\) | 15.3144 | + | 6.43376i | 0.572725 | + | 0.240609i | ||||
\(716\) | 7.50882 | − | 13.0057i | 0.280618 | − | 0.486044i | ||||
\(717\) | 10.3944 | − | 40.9038i | 0.388187 | − | 1.52758i | ||||
\(718\) | −7.81527 | + | 4.51215i | −0.291663 | + | 0.168392i | ||||
\(719\) | 0.850396 | − | 1.47293i | 0.0317144 | − | 0.0549310i | −0.849733 | − | 0.527214i | \(-0.823237\pi\) |
0.881447 | + | 0.472283i | \(0.156570\pi\) | |||||||
\(720\) | 6.63109 | − | 1.01420i | 0.247126 | − | 0.0377971i | ||||
\(721\) | −34.7736 | −1.29504 | ||||||||
\(722\) | −5.93054 | − | 10.2720i | −0.220712 | − | 0.382284i | ||||
\(723\) | −12.2708 | − | 43.5328i | −0.456357 | − | 1.61900i | ||||
\(724\) | 2.21896 | − | 1.28112i | 0.0824669 | − | 0.0476123i | ||||
\(725\) | −24.0844 | + | 6.19466i | −0.894473 | + | 0.230064i | ||||
\(726\) | 16.0662 | − | 4.52867i | 0.596272 | − | 0.168075i | ||||
\(727\) | −16.7604 | − | 9.67663i | −0.621609 | − | 0.358886i | 0.155886 | − | 0.987775i | \(-0.450177\pi\) |
−0.777495 | + | 0.628889i | \(0.783510\pi\) | |||||||
\(728\) | 16.1034i | 0.596833i | ||||||||
\(729\) | −2.09544 | − | 26.9186i | −0.0776089 | − | 0.996984i | ||||
\(730\) | −13.5529 | + | 10.2918i | −0.501617 | + | 0.380915i | ||||
\(731\) | −0.726974 | + | 0.419719i | −0.0268881 | + | 0.0155239i | ||||
\(732\) | −9.45108 | + | 9.69905i | −0.349322 | + | 0.358487i | ||||
\(733\) | 7.87334 | − | 4.54568i | 0.290808 | − | 0.167898i | −0.347498 | − | 0.937681i | \(-0.612969\pi\) |
0.638306 | + | 0.769782i | \(0.279635\pi\) | |||||||
\(734\) | −15.7765 | − | 27.3257i | −0.582320 | − | 1.00861i | ||||
\(735\) | 2.29231 | + | 0.283331i | 0.0845533 | + | 0.0104508i | ||||
\(736\) | 2.97331i | 0.109598i | ||||||||
\(737\) | 2.56385 | + | 1.48024i | 0.0944407 | + | 0.0545254i | ||||
\(738\) | 0.912590 | + | 1.49016i | 0.0335929 | + | 0.0548537i | ||||
\(739\) | −22.7174 | + | 13.1159i | −0.835674 | + | 0.482477i | −0.855791 | − | 0.517321i | \(-0.826929\pi\) |
0.0201174 | + | 0.999798i | \(0.493596\pi\) | |||||||
\(740\) | 10.7345 | + | 4.50971i | 0.394608 | + | 0.165780i | ||||
\(741\) | 21.0920 | + | 20.5528i | 0.774836 | + | 0.755026i | ||||
\(742\) | 14.7791 | 0.542557 | ||||||||
\(743\) | − | 16.6662i | − | 0.611425i | −0.952124 | − | 0.305713i | \(-0.901105\pi\) | ||
0.952124 | − | 0.305713i | \(-0.0988947\pi\) | |||||||
\(744\) | 5.36571 | − | 8.01306i | 0.196717 | − | 0.293773i | ||||
\(745\) | −13.6766 | + | 32.5545i | −0.501071 | + | 1.19271i | ||||
\(746\) | − | 9.79690i | − | 0.358690i | ||||||
\(747\) | 5.05714 | + | 8.25777i | 0.185031 | + | 0.302136i | ||||
\(748\) | − | 4.60646i | − | 0.168429i | ||||||
\(749\) | −4.47368 | + | 2.58288i | −0.163465 | + | 0.0943764i | ||||
\(750\) | −7.44867 | + | 17.8750i | −0.271987 | + | 0.652704i | ||||
\(751\) | −14.3994 | + | 24.9405i | −0.525441 | + | 0.910090i | 0.474120 | + | 0.880460i | \(0.342766\pi\) |
−0.999561 | + | 0.0296299i | \(0.990567\pi\) | |||||||
\(752\) | −2.60049 | −0.0948301 | ||||||||
\(753\) | −28.5560 | + | 8.04923i | −1.04064 | + | 0.293330i | ||||
\(754\) | 15.8253 | + | 27.4102i | 0.576324 | + | 0.998222i | ||||
\(755\) | −21.9574 | + | 2.77858i | −0.799113 | + | 0.101123i | ||||
\(756\) | 12.5593 | − | 3.89389i | 0.456777 | − | 0.141619i | ||||
\(757\) | 6.97726 | + | 12.0850i | 0.253593 | + | 0.439235i | 0.964512 | − | 0.264038i | \(-0.0850544\pi\) |
−0.710920 | + | 0.703273i | \(0.751721\pi\) | |||||||
\(758\) | 10.2994 | − | 17.8392i | 0.374093 | − | 0.647947i | ||||
\(759\) | 5.82661 | + | 1.48065i | 0.211493 | + | 0.0537443i | ||||
\(760\) | 5.50816 | + | 2.31405i | 0.199802 | + | 0.0839394i | ||||
\(761\) | 5.28189 | − | 9.14850i | 0.191468 | − | 0.331633i | −0.754269 | − | 0.656566i | \(-0.772008\pi\) |
0.945737 | + | 0.324933i | \(0.105342\pi\) | |||||||
\(762\) | −31.6006 | + | 8.90743i | −1.14477 | + | 0.322682i | ||||
\(763\) | 11.6001 | + | 6.69733i | 0.419952 | + | 0.242460i | ||||
\(764\) | −6.67352 | + | 3.85296i | −0.241440 | + | 0.139395i | ||||
\(765\) | 24.6621 | + | 9.61743i | 0.891660 | + | 0.347719i | ||||
\(766\) | −25.4503 | + | 14.6938i | −0.919558 | + | 0.530907i | ||||
\(767\) | 73.6071i | 2.65780i | ||||||||
\(768\) | −1.24050 | − | 1.20878i | −0.0447627 | − | 0.0436183i | ||||
\(769\) | 14.8007 | − | 25.6356i | 0.533728 | − | 0.924445i | −0.465495 | − | 0.885050i | \(-0.654124\pi\) |
0.999224 | − | 0.0393944i | \(-0.0125429\pi\) | |||||||
\(770\) | 6.55317 | − | 0.829263i | 0.236160 | − | 0.0298846i | ||||
\(771\) | −5.40039 | + | 21.2514i | −0.194490 | + | 0.765351i | ||||
\(772\) | 7.14681 | + | 4.12622i | 0.257219 | + | 0.148506i | ||||
\(773\) | 19.0137i | 0.683875i | 0.939723 | + | 0.341938i | \(0.111083\pi\) | ||||
−0.939723 | + | 0.341938i | \(0.888917\pi\) | |||||||
\(774\) | 0.560760 | + | 0.304674i | 0.0201561 | + | 0.0109513i | ||||
\(775\) | 11.7102 | + | 25.2561i | 0.420643 | + | 0.907226i | ||||
\(776\) | 11.6154i | 0.416969i | ||||||||
\(777\) | 22.1196 | + | 5.62101i | 0.793536 | + | 0.201653i | ||||
\(778\) | −1.62322 | + | 2.81150i | −0.0581953 | + | 0.100797i | ||||
\(779\) | 1.55628i | 0.0557595i | ||||||||
\(780\) | 24.4601 | + | 3.02329i | 0.875814 | + | 0.108251i | ||||
\(781\) | 15.4805 | + | 8.93769i | 0.553937 | + | 0.319816i | ||||
\(782\) | −5.86644 | + | 10.1610i | −0.209783 | + | 0.363356i | ||||
\(783\) | 17.5510 | − | 18.9703i | 0.627220 | − | 0.677943i | ||||
\(784\) | −0.298188 | − | 0.516477i | −0.0106496 | − | 0.0184456i | ||||
\(785\) | 9.79076 | − | 1.23896i | 0.349447 | − | 0.0442204i | ||||
\(786\) | 2.34646 | + | 8.32445i | 0.0836955 | + | 0.296923i | ||||
\(787\) | 16.8350 | − | 29.1591i | 0.600103 | − | 1.03941i | −0.392701 | − | 0.919666i | \(-0.628459\pi\) |
0.992805 | − | 0.119744i | \(-0.0382073\pi\) | |||||||
\(788\) | 22.0501 | − | 12.7306i | 0.785502 | − | 0.453510i | ||||
\(789\) | 9.24881 | − | 9.49147i | 0.329266 | − | 0.337905i | ||||
\(790\) | 9.30945 | − | 22.1594i | 0.331215 | − | 0.788396i | ||||
\(791\) | − | 31.8361i | − | 1.13196i | ||||||
\(792\) | −2.98652 | + | 1.82898i | −0.106121 | + | 0.0649898i | ||||
\(793\) | −43.0892 | + | 24.8776i | −1.53014 | + | 0.883429i | ||||
\(794\) | 23.6825 | + | 13.6731i | 0.840459 | + | 0.485239i | ||||
\(795\) | 2.77465 | − | 22.4485i | 0.0984067 | − | 0.796167i | ||||
\(796\) | −15.1490 | + | 8.74625i | −0.536941 | + | 0.310003i | ||||
\(797\) | 11.8837 | − | 6.86104i | 0.420941 | − | 0.243030i | −0.274539 | − | 0.961576i | \(-0.588525\pi\) |
0.695480 | + | 0.718546i | \(0.255192\pi\) | |||||||
\(798\) | 11.3501 | + | 2.88429i | 0.401791 | + | 0.102103i | ||||
\(799\) | −8.88689 | − | 5.13085i | −0.314395 | − | 0.181516i | ||||
\(800\) | 4.84239 | − | 1.24549i | 0.171204 | − | 0.0440348i | ||||
\(801\) | 0.983284 | + | 37.9625i | 0.0347426 | + | 1.34134i | ||||
\(802\) | 9.60608 | 0.339203 | ||||||||
\(803\) | 4.44211 | − | 7.69396i | 0.156759 | − | 0.271514i | ||||
\(804\) | 4.25727 | + | 1.08185i | 0.150142 | + | 0.0381540i | ||||
\(805\) | −15.5111 | − | 6.51643i | −0.546696 | − | 0.229674i | ||||
\(806\) | 26.9618 | − | 22.9877i | 0.949688 | − | 0.809708i | ||||
\(807\) | 0.722577 | − | 2.84346i | 0.0254359 | − | 0.100095i | ||||
\(808\) | − | 2.60547i | − | 0.0916603i | ||||||
\(809\) | 3.82153 | − | 6.61908i | 0.134358 | − | 0.232714i | −0.790994 | − | 0.611824i | \(-0.790436\pi\) |
0.925352 | + | 0.379109i | \(0.123770\pi\) | |||||||
\(810\) | −3.55668 | − | 19.8078i | −0.124969 | − | 0.695976i | ||||
\(811\) | 1.11093 | + | 1.92419i | 0.0390101 | + | 0.0675675i | 0.884871 | − | 0.465836i | \(-0.154246\pi\) |
−0.845861 | + | 0.533403i | \(0.820913\pi\) | |||||||
\(812\) | 10.8998 | + | 6.29302i | 0.382509 | + | 0.220842i | ||||
\(813\) | −36.5767 | + | 37.5364i | −1.28280 | + | 1.31646i | ||||
\(814\) | −6.07849 | −0.213051 | ||||||||
\(815\) | 5.23152 | − | 0.662016i | 0.183252 | − | 0.0231894i | ||||
\(816\) | −1.85430 | − | 6.57843i | −0.0649135 | − | 0.230291i | ||||
\(817\) | 0.284191 | + | 0.492234i | 0.00994260 | + | 0.0172211i | ||||
\(818\) | −26.5680 | − | 15.3390i | −0.928927 | − | 0.536317i | ||||
\(819\) | 48.2941 | − | 1.25089i | 1.68753 | − | 0.0437096i | ||||
\(820\) | 0.787670 | + | 1.03726i | 0.0275066 | + | 0.0362228i | ||||
\(821\) | 33.9218 | 1.18388 | 0.591939 | − | 0.805983i | \(-0.298363\pi\) | ||||
0.591939 | + | 0.805983i | \(0.298363\pi\) | |||||||
\(822\) | 16.6685 | + | 4.23579i | 0.581382 | + | 0.147740i | ||||
\(823\) | 4.08313 | − | 7.07218i | 0.142329 | − | 0.246521i | −0.786044 | − | 0.618170i | \(-0.787874\pi\) |
0.928373 | + | 0.371649i | \(0.121208\pi\) | |||||||
\(824\) | 11.9006 | − | 6.87079i | 0.414575 | − | 0.239355i | ||||
\(825\) | −0.0292959 | − | 10.1096i | −0.00101995 | − | 0.351970i | ||||
\(826\) | 14.6351 | + | 25.3488i | 0.509222 | + | 0.881998i | ||||
\(827\) | −8.07627 | + | 4.66284i | −0.280839 | + | 0.162143i | −0.633803 | − | 0.773494i | \(-0.718507\pi\) |
0.352964 | + | 0.935637i | \(0.385174\pi\) | |||||||
\(828\) | 8.91695 | − | 0.230962i | 0.309885 | − | 0.00802649i | ||||
\(829\) | 31.8726i | 1.10698i | 0.832855 | + | 0.553491i | \(0.186705\pi\) | ||||
−0.832855 | + | 0.553491i | \(0.813295\pi\) | |||||||
\(830\) | 4.36489 | + | 5.74801i | 0.151507 | + | 0.199516i | ||||
\(831\) | −40.8482 | − | 39.8038i | −1.41701 | − | 1.38078i | ||||
\(832\) | −3.18182 | − | 5.51107i | −0.110310 | − | 0.191062i | ||||
\(833\) | − | 2.35334i | − | 0.0815384i | ||||||
\(834\) | −6.38237 | + | 6.54982i | −0.221003 | + | 0.226802i | ||||
\(835\) | −3.61548 | + | 8.60596i | −0.125119 | + | 0.297822i | ||||
\(836\) | −3.11903 | −0.107874 | ||||||||
\(837\) | −24.4479 | − | 15.4693i | −0.845044 | − | 0.534697i | ||||
\(838\) | − | 8.50389i | − | 0.293762i | ||||||
\(839\) | − | 5.17690i | − | 0.178726i | −0.995999 | − | 0.0893631i | \(-0.971517\pi\) | ||
0.995999 | − | 0.0893631i | \(-0.0284832\pi\) | |||||||
\(840\) | 9.02470 | − | 3.82220i | 0.311382 | − | 0.131878i | ||||
\(841\) | −4.26265 | −0.146988 | ||||||||
\(842\) | −2.12626 | − | 3.68278i | −0.0732756 | − | 0.126917i | ||||
\(843\) | 16.8943 | − | 17.3375i | 0.581869 | − | 0.597136i | ||||
\(844\) | 11.6155 | − | 20.1187i | 0.399824 | − | 0.692515i | ||||
\(845\) | 56.6837 | + | 23.8136i | 1.94998 | + | 0.819212i | ||||
\(846\) | 0.202002 | + | 7.79885i | 0.00694496 | + | 0.268130i | ||||
\(847\) | 21.1202 | − | 12.1938i | 0.725699 | − | 0.418982i | ||||
\(848\) | −5.05784 | + | 2.92015i | −0.173687 | + | 0.100278i | ||||
\(849\) | −13.7972 | + | 14.1592i | −0.473519 | + | 0.485942i | ||||
\(850\) | 19.0057 | + | 5.29785i | 0.651891 | + | 0.181715i | ||||
\(851\) | 13.4080 | + | 7.74110i | 0.459620 | + | 0.265362i | ||||
\(852\) | 25.7054 | + | 6.53223i | 0.880653 | + | 0.223790i | ||||
\(853\) | − | 50.2504i | − | 1.72054i | −0.509838 | − | 0.860270i | \(-0.670295\pi\) | ||
0.509838 | − | 0.860270i | \(-0.329705\pi\) | |||||||
\(854\) | −9.89272 | + | 17.1347i | −0.338522 | + | 0.586337i | ||||
\(855\) | 6.51195 | − | 16.6987i | 0.222704 | − | 0.571083i | ||||
\(856\) | 1.02068 | − | 1.76788i | 0.0348863 | − | 0.0604248i | ||||
\(857\) | 20.7236 | + | 35.8943i | 0.707904 | + | 1.22613i | 0.965633 | + | 0.259908i | \(0.0836923\pi\) |
−0.257730 | + | 0.966217i | \(0.582974\pi\) | |||||||
\(858\) | −12.3842 | + | 3.49080i | −0.422789 | + | 0.119174i | ||||
\(859\) | 30.9828 | − | 17.8879i | 1.05712 | − | 0.610328i | 0.132485 | − | 0.991185i | \(-0.457704\pi\) |
0.924634 | + | 0.380857i | \(0.124371\pi\) | |||||||
\(860\) | 0.438545 | + | 0.184239i | 0.0149543 | + | 0.00628248i | ||||
\(861\) | 1.82844 | + | 1.78169i | 0.0623130 | + | 0.0607199i | ||||
\(862\) | 3.67853 | + | 2.12380i | 0.125291 | + | 0.0723370i | ||||
\(863\) | 35.0518 | − | 20.2372i | 1.19318 | − | 0.688882i | 0.234152 | − | 0.972200i | \(-0.424769\pi\) |
0.959026 | + | 0.283318i | \(0.0914352\pi\) | |||||||
\(864\) | −3.52878 | + | 3.81415i | −0.120051 | + | 0.129760i | ||||
\(865\) | 24.0383 | − | 18.2541i | 0.817328 | − | 0.620657i | ||||
\(866\) | −26.6589 | −0.905906 | ||||||||
\(867\) | −0.609420 | + | 2.39817i | −0.0206970 | + | 0.0814461i | ||||
\(868\) | 4.71450 | − | 13.2773i | 0.160020 | − | 0.450660i | ||||
\(869\) | 12.5479i | 0.425659i | ||||||||
\(870\) | 11.6051 | − | 15.3747i | 0.393449 | − | 0.521252i | ||||
\(871\) | 13.9764 | + | 8.06928i | 0.473572 | + | 0.273417i | ||||
\(872\) | −5.29320 | −0.179250 | ||||||||
\(873\) | 34.8346 | − | 0.902267i | 1.17897 | − | 0.0305371i | ||||
\(874\) | 6.87999 | + | 3.97216i | 0.232719 | + | 0.134360i | ||||
\(875\) | −4.11531 | + | 27.9914i | −0.139123 | + | 0.946281i | ||||
\(876\) | 3.24658 | − | 12.7758i | 0.109692 | − | 0.431655i | ||||
\(877\) | −46.9146 | + | 27.0862i | −1.58419 | + | 0.914635i | −0.589956 | + | 0.807435i | \(0.700855\pi\) |
−0.994238 | + | 0.107199i | \(0.965812\pi\) | |||||||
\(878\) | 5.46842 | + | 9.47159i | 0.184550 | + | 0.319651i | ||||
\(879\) | −7.77795 | + | 2.19242i | −0.262344 | + | 0.0739484i | ||||
\(880\) | −2.07884 | + | 1.57862i | −0.0700776 | + | 0.0532151i | ||||
\(881\) | −18.4587 | − | 31.9714i | −0.621889 | − | 1.07714i | −0.989134 | − | 0.147020i | \(-0.953032\pi\) |
0.367244 | − | 0.930125i | \(-0.380301\pi\) | |||||||
\(882\) | −1.52575 | + | 0.934384i | −0.0513747 | + | 0.0314624i | ||||
\(883\) | 27.6274 | 0.929736 | 0.464868 | − | 0.885380i | \(-0.346102\pi\) | ||||
0.464868 | + | 0.885380i | \(0.346102\pi\) | |||||||
\(884\) | − | 25.1113i | − | 0.844585i | ||||||
\(885\) | 41.2509 | − | 17.4709i | 1.38663 | − | 0.587277i | ||||
\(886\) | 17.1646 | + | 29.7300i | 0.576657 | + | 0.998799i | ||||
\(887\) | −25.5426 | + | 44.2411i | −0.857637 | + | 1.48547i | 0.0165390 | + | 0.999863i | \(0.494735\pi\) |
−0.874176 | + | 0.485608i | \(0.838598\pi\) | |||||||
\(888\) | −8.68062 | + | 2.44686i | −0.291303 | + | 0.0821111i | ||||
\(889\) | −41.5413 | + | 23.9839i | −1.39325 | + | 0.804393i | ||||
\(890\) | 3.55349 | + | 28.0811i | 0.119113 | + | 0.941281i | ||||
\(891\) | 5.71708 | + | 8.81449i | 0.191529 | + | 0.295297i | ||||
\(892\) | 12.7804 | − | 22.1364i | 0.427921 | − | 0.741180i | ||||
\(893\) | −3.47409 | + | 6.01730i | −0.116256 | + | 0.201361i | ||||
\(894\) | −7.42058 | − | 26.3257i | −0.248181 | − | 0.880464i | ||||
\(895\) | −30.9594 | − | 13.0064i | −1.03486 | − | 0.434757i | ||||
\(896\) | −2.19151 | − | 1.26527i | −0.0732132 | − | 0.0422697i | ||||
\(897\) | 31.7628 | + | 8.07152i | 1.06053 | + | 0.269500i | ||||
\(898\) | 20.8543 | 0.695917 | ||||||||
\(899\) | −5.02323 | − | 27.2328i | −0.167534 | − | 0.908264i | ||||
\(900\) | −4.11137 | − | 14.4256i | −0.137046 | − | 0.480852i | ||||
\(901\) | −23.0462 | −0.767779 | ||||||||
\(902\) | −0.588850 | − | 0.339973i | −0.0196066 | − | 0.0113199i | ||||
\(903\) | 0.903669 | + | 0.229640i | 0.0300722 | + | 0.00764192i | ||||
\(904\) | 6.29037 | + | 10.8952i | 0.209215 | + | 0.362370i | ||||
\(905\) | −3.46491 | − | 4.56285i | −0.115177 | − | 0.151674i | ||||
\(906\) | 11.9645 | − | 12.2784i | 0.397495 | − | 0.407924i | ||||
\(907\) | − | 27.1776i | − | 0.902418i | −0.892418 | − | 0.451209i | \(-0.850993\pi\) | ||
0.892418 | − | 0.451209i | \(-0.149007\pi\) | |||||||
\(908\) | −9.83982 | − | 17.0431i | −0.326546 | − | 0.565594i | ||||
\(909\) | −7.81380 | + | 0.202389i | −0.259168 | + | 0.00671282i | ||||
\(910\) | 35.7235 | − | 4.52058i | 1.18422 | − | 0.149856i | ||||
\(911\) | 23.1209 | − | 40.0465i | 0.766028 | − | 1.32680i | −0.173673 | − | 0.984803i | \(-0.555564\pi\) |
0.939701 | − | 0.341996i | \(-0.111103\pi\) | |||||||
\(912\) | −4.45425 | + | 1.25555i | −0.147495 | + | 0.0415753i | ||||
\(913\) | −3.26313 | − | 1.88397i | −0.107994 | − | 0.0623502i | ||||
\(914\) | 9.71757 | 0.321429 | ||||||||
\(915\) | 24.1693 | + | 18.2433i | 0.799012 | + | 0.603106i | ||||
\(916\) | 0.583432 | + | 0.336845i | 0.0192771 | + | 0.0111297i | ||||
\(917\) | 6.31800 | + | 10.9431i | 0.208639 | + | 0.361373i | ||||
\(918\) | −19.5846 | + | 6.07204i | −0.646390 | + | 0.200407i | ||||
\(919\) | −23.3930 | − | 40.5179i | −0.771664 | − | 1.33656i | −0.936650 | − | 0.350265i | \(-0.886091\pi\) |
0.164986 | − | 0.986296i | \(-0.447242\pi\) | |||||||
\(920\) | 6.59593 | − | 0.834673i | 0.217461 | − | 0.0275184i | ||||
\(921\) | 3.63469 | + | 12.8947i | 0.119767 | + | 0.424893i | ||||
\(922\) | 28.0073 | 0.922371 | ||||||||
\(923\) | 84.3895 | + | 48.7223i | 2.77771 | + | 1.60371i | ||||
\(924\) | −3.57080 | + | 3.66448i | −0.117471 | + | 0.120553i | ||||
\(925\) | 6.99082 | − | 25.0792i | 0.229857 | − | 0.824598i | ||||
\(926\) | −6.55196 | −0.215311 | ||||||||
\(927\) | −21.5299 | − | 35.1560i | −0.707134 | − | 1.15467i | ||||
\(928\) | −4.97367 | −0.163269 | ||||||||
\(929\) | −4.99976 | −0.164037 | −0.0820184 | − | 0.996631i | \(-0.526137\pi\) | ||||
−0.0820184 | + | 0.996631i | \(0.526137\pi\) | |||||||
\(930\) | −19.2823 | − | 9.65373i | −0.632290 | − | 0.316558i | ||||
\(931\) | −1.59345 | −0.0522231 | ||||||||
\(932\) | 25.5858 | 0.838090 | ||||||||
\(933\) | 4.21009 | − | 4.32055i | 0.137832 | − | 0.141448i | ||||
\(934\) | −6.66673 | −0.218142 | ||||||||
\(935\) | −10.2189 | + | 1.29313i | −0.334193 | + | 0.0422900i | ||||
\(936\) | −16.2805 | + | 9.97035i | −0.532145 | + | 0.325891i | ||||
\(937\) | 30.5656 | + | 17.6471i | 0.998536 | + | 0.576505i | 0.907815 | − | 0.419371i | \(-0.137749\pi\) |
0.0907212 | + | 0.995876i | \(0.471083\pi\) | |||||||
\(938\) | 6.41759 | 0.209542 | ||||||||
\(939\) | −2.50994 | + | 0.707491i | −0.0819088 | + | 0.0230881i | ||||
\(940\) | 0.730014 | + | 5.76886i | 0.0238104 | + | 0.188160i | ||||
\(941\) | −22.7805 | − | 39.4570i | −0.742624 | − | 1.28626i | −0.951297 | − | 0.308277i | \(-0.900248\pi\) |
0.208673 | − | 0.977985i | \(-0.433086\pi\) | |||||||
\(942\) | −5.33495 | + | 5.47492i | −0.173822 | + | 0.178383i | ||||
\(943\) | 0.865928 | + | 1.49983i | 0.0281985 | + | 0.0488412i | ||||
\(944\) | −10.0172 | − | 5.78341i | −0.326031 | − | 0.188234i | ||||
\(945\) | −12.1638 | − | 26.7681i | −0.395688 | − | 0.870767i | ||||
\(946\) | −0.248329 | −0.00807388 | ||||||||
\(947\) | 30.2955 | + | 17.4911i | 0.984473 | + | 0.568386i | 0.903618 | − | 0.428340i | \(-0.140901\pi\) |
0.0808554 | + | 0.996726i | \(0.474235\pi\) | |||||||
\(948\) | 5.05108 | + | 17.9195i | 0.164051 | + | 0.581999i | ||||
\(949\) | 24.2154 | − | 41.9423i | 0.786066 | − | 1.36151i | ||||
\(950\) | 3.58717 | − | 12.8688i | 0.116383 | − | 0.417518i | ||||
\(951\) | −27.2637 | + | 7.68499i | −0.884087 | + | 0.249203i | ||||
\(952\) | −4.99283 | − | 8.64784i | −0.161819 | − | 0.280278i | ||||
\(953\) | 6.87324i | 0.222646i | 0.993784 | + | 0.111323i | \(0.0355088\pi\) | ||||
−0.993784 | + | 0.111323i | \(0.964491\pi\) | |||||||
\(954\) | 9.15038 | + | 14.9416i | 0.296255 | + | 0.483752i | ||||
\(955\) | 10.4207 | + | 13.7228i | 0.337207 | + | 0.444059i | ||||
\(956\) | 12.1832 | + | 21.1019i | 0.394032 | + | 0.682484i | ||||
\(957\) | −2.47679 | + | 9.74658i | −0.0800632 | + | 0.315062i | ||||
\(958\) | −35.9059 | − | 20.7303i | −1.16007 | − | 0.669764i | ||||
\(959\) | 25.1269 | 0.811389 | ||||||||
\(960\) | −2.33331 | + | 3.09123i | −0.0753071 | + | 0.0997689i | ||||
\(961\) | −28.9599 | + | 11.0599i | −0.934191 | + | 0.356772i | ||||
\(962\) | −33.1358 | −1.06834 | ||||||||
\(963\) | −5.38114 | − | 2.92370i | −0.173405 | − | 0.0942150i | ||||
\(964\) | 22.6146 | + | 13.0565i | 0.728367 | + | 0.420523i | ||||
\(965\) | 7.14723 | − | 17.0126i | 0.230078 | − | 0.547656i | ||||
\(966\) | 12.5433 | − | 3.53565i | 0.403574 | − | 0.113758i | ||||
\(967\) | 4.20935 | − | 7.29080i | 0.135363 | − | 0.234456i | −0.790373 | − | 0.612626i | \(-0.790113\pi\) |
0.925736 | + | 0.378170i | \(0.123446\pi\) | |||||||
\(968\) | −4.81864 | + | 8.34613i | −0.154877 | + | 0.268255i | ||||
\(969\) | −17.6992 | − | 4.49769i | −0.568579 | − | 0.144487i | ||||
\(970\) | 25.7674 | − | 3.26070i | 0.827340 | − | 0.104695i | ||||
\(971\) | 18.3274 | − | 10.5813i | 0.588153 | − | 0.339570i | −0.176214 | − | 0.984352i | \(-0.556385\pi\) |
0.764367 | + | 0.644782i | \(0.223052\pi\) | |||||||
\(972\) | 11.7127 | + | 10.2865i | 0.375686 | + | 0.329940i | ||||
\(973\) | −6.68060 | + | 11.5711i | −0.214170 | + | 0.370954i | ||||
\(974\) | 7.67498 | + | 13.2935i | 0.245922 | + | 0.425950i | ||||
\(975\) | −0.159702 | − | 55.1105i | −0.00511454 | − | 1.76495i | ||||
\(976\) | − | 7.81867i | − | 0.250269i | ||||||
\(977\) | 37.4454 | 1.19799 | 0.598993 | − | 0.800754i | \(-0.295568\pi\) | ||||
0.598993 | + | 0.800754i | \(0.295568\pi\) | |||||||
\(978\) | −2.85063 | + | 2.92542i | −0.0911532 | + | 0.0935448i | ||||
\(979\) | −7.38843 | − | 12.7971i | −0.236135 | − | 0.408998i | ||||
\(980\) | −1.06203 | + | 0.806481i | −0.0339254 | + | 0.0257621i | ||||
\(981\) | 0.411168 | + | 15.8743i | 0.0131276 | + | 0.506827i | ||||
\(982\) | 8.51286 | + | 14.7447i | 0.271656 | + | 0.470522i | ||||
\(983\) | −33.1751 | + | 19.1537i | −1.05812 | + | 0.610907i | −0.924912 | − | 0.380180i | \(-0.875862\pi\) |
−0.133210 | + | 0.991088i | \(0.542529\pi\) | |||||||
\(984\) | −0.977785 | − | 0.248474i | −0.0311706 | − | 0.00792105i | ||||
\(985\) | −34.4313 | − | 45.3417i | −1.09707 | − | 1.44471i | ||||
\(986\) | −16.9970 | − | 9.81320i | −0.541293 | − | 0.312516i | ||||
\(987\) | 3.09232 | + | 10.9705i | 0.0984296 | + | 0.349195i | ||||
\(988\) | −17.0029 | −0.540933 | ||||||||
\(989\) | 0.547767 | + | 0.316253i | 0.0174180 | + | 0.0100563i | ||||
\(990\) | 4.89574 | + | 6.11180i | 0.155597 | + | 0.194246i | ||||
\(991\) | − | 38.8224i | − | 1.23323i | −0.787263 | − | 0.616617i | \(-0.788503\pi\) | ||
0.787263 | − | 0.616617i | \(-0.211497\pi\) | |||||||
\(992\) | 1.00997 | + | 5.47540i | 0.0320665 | + | 0.173844i | ||||
\(993\) | −15.2527 | − | 3.87601i | −0.484031 | − | 0.123001i | ||||
\(994\) | 38.7494 | 1.22906 | ||||||||
\(995\) | 23.6551 | + | 31.1508i | 0.749918 | + | 0.987548i | ||||
\(996\) | −5.41841 | − | 1.37692i | −0.171689 | − | 0.0436294i | ||||
\(997\) | −19.4945 | + | 11.2552i | −0.617398 | + | 0.356455i | −0.775855 | − | 0.630911i | \(-0.782681\pi\) |
0.158457 | + | 0.987366i | \(0.449348\pi\) | |||||||
\(998\) | −9.32152 | − | 5.38178i | −0.295068 | − | 0.170357i | ||||
\(999\) | 8.01240 | + | 25.8431i | 0.253501 | + | 0.817638i |
(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.r.a.119.9 | yes | 64 | |
3.2 | odd | 2 | 930.2.r.b.119.30 | yes | 64 | ||
5.4 | even | 2 | 930.2.r.b.119.24 | yes | 64 | ||
15.14 | odd | 2 | inner | 930.2.r.a.119.3 | ✓ | 64 | |
31.6 | odd | 6 | inner | 930.2.r.a.719.3 | yes | 64 | |
93.68 | even | 6 | 930.2.r.b.719.24 | yes | 64 | ||
155.99 | odd | 6 | 930.2.r.b.719.30 | yes | 64 | ||
465.254 | even | 6 | inner | 930.2.r.a.719.9 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.r.a.119.3 | ✓ | 64 | 15.14 | odd | 2 | inner | |
930.2.r.a.119.9 | yes | 64 | 1.1 | even | 1 | trivial | |
930.2.r.a.719.3 | yes | 64 | 31.6 | odd | 6 | inner | |
930.2.r.a.719.9 | yes | 64 | 465.254 | even | 6 | inner | |
930.2.r.b.119.24 | yes | 64 | 5.4 | even | 2 | ||
930.2.r.b.119.30 | yes | 64 | 3.2 | odd | 2 | ||
930.2.r.b.719.24 | yes | 64 | 93.68 | even | 6 | ||
930.2.r.b.719.30 | yes | 64 | 155.99 | odd | 6 |