Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(25,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 397.2 | ||
Character | \(\chi\) | \(=\) | 804.397 |
Dual form | 804.2.q.b.241.2 |
$q$-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 \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.415415 | − | 0.909632i | −0.239840 | − | 0.525176i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.77661 | + | 0.521660i | −0.794524 | + | 0.233293i | −0.653712 | − | 0.756743i | \(-0.726789\pi\) |
−0.140812 | + | 0.990036i | \(0.544971\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.707286 | − | 0.816251i | 0.267329 | − | 0.308514i | −0.606175 | − | 0.795331i | \(-0.707297\pi\) |
0.873504 | + | 0.486817i | \(0.161842\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −6.30285 | + | 1.85068i | −1.90038 | + | 0.558002i | −0.911053 | + | 0.412289i | \(0.864729\pi\) |
−0.989327 | + | 0.145712i | \(0.953453\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.21329 | − | 2.70772i | 1.16856 | − | 0.750986i | 0.195309 | − | 0.980742i | \(-0.437429\pi\) |
0.973248 | + | 0.229755i | \(0.0737926\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.21255 | + | 1.39936i | 0.313079 | + | 0.361312i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.520776 | + | 3.62208i | −0.126307 | + | 0.878483i | 0.823872 | + | 0.566776i | \(0.191810\pi\) |
−0.950178 | + | 0.311706i | \(0.899099\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.73554 | + | 5.46510i | 1.08641 | + | 1.25378i | 0.965301 | + | 0.261141i | \(0.0840987\pi\) |
0.121106 | + | 0.992640i | \(0.461356\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.03631 | − | 0.304287i | −0.226140 | − | 0.0664008i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.13944 | + | 4.68472i | 0.446104 | + | 0.976832i | 0.990437 | + | 0.137963i | \(0.0440555\pi\) |
−0.544333 | + | 0.838869i | \(0.683217\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.32205 | + | 0.849633i | −0.264411 | + | 0.169927i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.959493 | + | 0.281733i | 0.184655 | + | 0.0542195i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.56041 | 0.661151 | 0.330575 | − | 0.943780i | \(-0.392757\pi\) | ||||
0.330575 | + | 0.943780i | \(0.392757\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.55994 | − | 1.64517i | −0.459778 | − | 0.295481i | 0.290174 | − | 0.956974i | \(-0.406287\pi\) |
−0.749952 | + | 0.661493i | \(0.769923\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.30174 | + | 4.96447i | 0.748836 | + | 0.864203i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.830765 | + | 1.81912i | −0.140425 | + | 0.307488i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.91644 | −0.972657 | −0.486328 | − | 0.873776i | \(-0.661664\pi\) | ||||
−0.486328 | + | 0.873776i | \(0.661664\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.21329 | − | 2.70772i | −0.674667 | − | 0.433582i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.936661 | − | 6.51462i | 0.146282 | − | 1.01741i | −0.775955 | − | 0.630788i | \(-0.782732\pi\) |
0.922237 | − | 0.386625i | \(-0.126359\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.17480 | + | 8.17090i | −0.179155 | + | 1.24605i | 0.679569 | + | 0.733612i | \(0.262167\pi\) |
−0.858724 | + | 0.512438i | \(0.828742\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.769188 | − | 1.68429i | 0.114664 | − | 0.251079i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.39652 | + | 11.8167i | 0.787163 | + | 1.72365i | 0.684600 | + | 0.728919i | \(0.259977\pi\) |
0.102563 | + | 0.994727i | \(0.467296\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.830191 | + | 5.77410i | 0.118599 | + | 0.824872i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.51110 | − | 1.03095i | 0.491652 | − | 0.144362i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.207822 | − | 1.44544i | −0.0285466 | − | 0.198546i | 0.970557 | − | 0.240870i | \(-0.0774328\pi\) |
−0.999104 | + | 0.0423243i | \(0.986524\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.2323 | − | 6.57588i | 1.37972 | − | 0.886692i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 3.00402 | − | 6.57788i | 0.397892 | − | 0.871262i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.12909 | − | 0.725625i | −0.146996 | − | 0.0944683i | 0.465076 | − | 0.885271i | \(-0.346027\pi\) |
−0.612071 | + | 0.790803i | \(0.709663\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.203291 | + | 0.0596917i | 0.0260288 | + | 0.00764274i | 0.294721 | − | 0.955583i | \(-0.404773\pi\) |
−0.268692 | + | 0.963226i | \(0.586591\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.153708 | + | 1.06906i | 0.0193654 | + | 0.134689i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −6.07287 | + | 7.00847i | −0.753247 | + | 0.869293i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.00742 | + | 1.69742i | −0.978262 | + | 0.207373i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.37262 | − | 3.89221i | 0.406015 | − | 0.468567i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.41822 | + | 9.86395i | 0.168312 | + | 1.17064i | 0.882372 | + | 0.470552i | \(0.155945\pi\) |
−0.714060 | + | 0.700084i | \(0.753146\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 11.6575 | + | 3.42296i | 1.36441 | + | 0.400627i | 0.880316 | − | 0.474388i | \(-0.157331\pi\) |
0.484095 | + | 0.875016i | \(0.339149\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.32205 | + | 0.849633i | 0.152658 | + | 0.0981072i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.94729 | + | 6.45367i | −0.335875 | + | 0.735464i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.266249 | − | 0.171108i | 0.0299553 | − | 0.0192511i | −0.525577 | − | 0.850746i | \(-0.676151\pi\) |
0.555533 | + | 0.831495i | \(0.312514\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.67588 | − | 1.37296i | 0.513244 | − | 0.150702i | −0.0148469 | − | 0.999890i | \(-0.504726\pi\) |
0.528091 | + | 0.849188i | \(0.322908\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.964276 | − | 6.70668i | −0.104590 | − | 0.727442i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.47905 | − | 3.23866i | −0.158570 | − | 0.347221i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.91449 | + | 6.38185i | −0.308936 | + | 0.676475i | −0.998876 | − | 0.0473910i | \(-0.984909\pi\) |
0.689941 | + | 0.723866i | \(0.257637\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.769823 | − | 5.35424i | 0.0806994 | − | 0.561277i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.433064 | + | 3.01203i | −0.0449067 | + | 0.312333i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −11.2641 | − | 7.23901i | −1.15567 | − | 0.742707i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.508626 | 0.0516432 | 0.0258216 | − | 0.999667i | \(-0.491780\pi\) | ||||
0.0258216 | + | 0.999667i | \(0.491780\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.72883 | − | 5.97531i | 0.274258 | − | 0.600542i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −10.0015 | − | 11.5424i | −0.995189 | − | 1.14851i | −0.988908 | − | 0.148529i | \(-0.952546\pi\) |
−0.00628108 | − | 0.999980i | \(-0.501999\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.45292 | − | 6.07503i | −0.931424 | − | 0.598590i | −0.0154733 | − | 0.999880i | \(-0.504925\pi\) |
−0.915951 | + | 0.401290i | \(0.868562\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.99984 | 0.195165 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −9.62937 | − | 2.82744i | −0.930906 | − | 0.273339i | −0.219090 | − | 0.975705i | \(-0.570309\pi\) |
−0.711816 | + | 0.702366i | \(0.752127\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.61414 | − | 2.96533i | 0.441954 | − | 0.284027i | −0.300679 | − | 0.953726i | \(-0.597213\pi\) |
0.742633 | + | 0.669699i | \(0.233577\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.45778 | + | 5.38178i | 0.233282 | + | 0.510816i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.455474 | + | 0.133739i | 0.0428474 | + | 0.0125811i | 0.303086 | − | 0.952963i | \(-0.401983\pi\) |
−0.260239 | + | 0.965544i | \(0.583801\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.24478 | − | 7.20686i | −0.582329 | − | 0.672043i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.712763 | + | 4.95737i | −0.0658950 | + | 0.458309i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.58819 | + | 2.98693i | 0.237259 | + | 0.273811i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 27.0471 | − | 17.3821i | 2.45882 | − | 1.58019i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −6.31501 | + | 1.85425i | −0.569405 | + | 0.167192i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 7.96830 | − | 9.19591i | 0.712706 | − | 0.822507i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.57508 | + | 2.97180i | −0.228501 | + | 0.263704i | −0.858409 | − | 0.512965i | \(-0.828547\pi\) |
0.629908 | + | 0.776670i | \(0.283092\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 7.92054 | − | 2.32568i | 0.697364 | − | 0.204765i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.67599 | − | 18.9978i | −0.758025 | − | 1.65984i | −0.751384 | − | 0.659865i | \(-0.770614\pi\) |
−0.00664048 | − | 0.999978i | \(-0.502114\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.81028 | 0.677237 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.85161 | −0.159361 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 3.28591 | + | 7.19515i | 0.280735 | + | 0.614723i | 0.996498 | − | 0.0836201i | \(-0.0266482\pi\) |
−0.715763 | + | 0.698343i | \(0.753921\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −21.0011 | + | 6.16648i | −1.78129 | + | 0.523034i | −0.995441 | − | 0.0953838i | \(-0.969592\pi\) |
−0.785850 | + | 0.618418i | \(0.787774\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.50707 | − | 9.81769i | 0.716425 | − | 0.826798i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −21.5446 | + | 24.8638i | −1.80165 | + | 2.07922i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.32545 | + | 1.85732i | −0.525300 | + | 0.154242i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 4.90744 | − | 3.15382i | 0.404759 | − | 0.260123i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.46522 | − | 8.61532i | −0.611575 | − | 0.705795i | 0.362510 | − | 0.931980i | \(-0.381920\pi\) |
−0.974084 | + | 0.226185i | \(0.927375\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.810852 | + | 5.63960i | −0.0659862 | + | 0.458944i | 0.929862 | + | 0.367910i | \(0.119926\pi\) |
−0.995848 | + | 0.0910344i | \(0.970983\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.39635 | − | 2.76553i | −0.193733 | − | 0.223580i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.40623 | + | 1.58741i | 0.434239 | + | 0.127504i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.28348 | + | 2.81042i | 0.102433 | + | 0.224296i | 0.953908 | − | 0.300098i | \(-0.0970193\pi\) |
−0.851476 | + | 0.524394i | \(0.824292\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.22848 | + | 0.789498i | −0.0974250 | + | 0.0626113i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.33711 | + | 1.56712i | 0.420623 | + | 0.123506i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −11.7855 | −0.923110 | −0.461555 | − | 0.887112i | \(-0.652708\pi\) | ||||
−0.461555 | + | 0.887112i | \(0.652708\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −10.2323 | − | 6.57588i | −0.796581 | − | 0.511932i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.28198 | + | 8.40386i | 0.563497 | + | 0.650310i | 0.963974 | − | 0.265997i | \(-0.0857010\pi\) |
−0.400477 | + | 0.916307i | \(0.631156\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.01971 | − | 10.9916i | 0.386131 | − | 0.845510i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −7.23137 | −0.552996 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.33481 | − | 0.857833i | −0.101484 | − | 0.0652199i | 0.488914 | − | 0.872332i | \(-0.337393\pi\) |
−0.590398 | + | 0.807112i | \(0.701029\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.241557 | + | 1.68006i | −0.0182600 | + | 0.127001i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.191009 | + | 1.32850i | −0.0143571 | + | 0.0998559i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −0.482924 | + | 1.05746i | −0.0360954 | + | 0.0790380i | −0.926821 | − | 0.375504i | \(-0.877470\pi\) |
0.890725 | + | 0.454542i | \(0.150197\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.93138 | + | 17.3673i | 0.589535 | + | 1.29090i | 0.935723 | + | 0.352736i | \(0.114749\pi\) |
−0.346188 | + | 0.938165i | \(0.612524\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.0301528 | − | 0.209717i | −0.00222896 | − | 0.0155027i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 10.5112 | − | 3.08637i | 0.772799 | − | 0.226914i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.42094 | − | 23.7932i | −0.250164 | − | 1.73993i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0.908600 | − | 0.583922i | 0.0660909 | − | 0.0424741i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.85212 | + | 10.6247i | −0.351087 | + | 0.768774i | 0.648882 | + | 0.760889i | \(0.275237\pi\) |
−0.999969 | + | 0.00788471i | \(0.997490\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −17.8992 | − | 11.5031i | −1.28841 | − | 0.828012i | −0.296512 | − | 0.955029i | \(-0.595823\pi\) |
−0.991901 | + | 0.127017i | \(0.959460\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 8.89789 | + | 2.61266i | 0.637191 | + | 0.187096i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.42272 | + | 9.89523i | 0.101365 | + | 0.705006i | 0.975608 | + | 0.219519i | \(0.0704487\pi\) |
−0.874244 | + | 0.485487i | \(0.838642\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.24130 | + | 8.35690i | −0.513322 | + | 0.592405i | −0.951946 | − | 0.306265i | \(-0.900920\pi\) |
0.438624 | + | 0.898671i | \(0.355466\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.87043 | + | 6.57867i | 0.343534 | + | 0.464024i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.51822 | − | 2.90619i | 0.176745 | − | 0.203974i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.73433 | + | 12.0626i | 0.121131 | + | 0.842485i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −4.94151 | − | 1.45096i | −0.343459 | − | 0.100849i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −39.9615 | − | 25.6817i | −2.76420 | − | 1.77644i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.17122 | − | 20.0822i | 0.631373 | − | 1.38251i | −0.275578 | − | 0.961279i | \(-0.588869\pi\) |
0.906951 | − | 0.421235i | \(-0.138403\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 8.38342 | − | 5.38769i | 0.574422 | − | 0.369159i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −2.17527 | − | 15.1293i | −0.148352 | − | 1.03181i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.15348 | + | 0.925945i | −0.214072 | + | 0.0628573i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.72908 | − | 12.0260i | −0.116840 | − | 0.812642i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 7.61339 | + | 16.6710i | 0.512132 | + | 1.12141i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.62261 | − | 21.0706i | 0.644377 | − | 1.41099i | −0.252013 | − | 0.967724i | \(-0.581092\pi\) |
0.896390 | − | 0.443266i | \(-0.146180\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.223652 | − | 1.55553i | 0.0149101 | − | 0.103702i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.51482 | − | 24.4461i | 0.233287 | − | 1.62254i | −0.450440 | − | 0.892807i | \(-0.648733\pi\) |
0.683727 | − | 0.729738i | \(-0.260358\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.9149 | + | 7.65725i | 0.787359 | + | 0.506005i | 0.871468 | − | 0.490452i | \(-0.163168\pi\) |
−0.0841093 | + | 0.996457i | \(0.526804\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 7.09481 | 0.466804 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 10.2538 | − | 22.4527i | 0.671748 | − | 1.47092i | −0.199408 | − | 0.979917i | \(-0.563902\pi\) |
0.871156 | − | 0.491006i | \(-0.163371\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −15.7518 | − | 18.1786i | −1.02753 | − | 1.18584i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.266249 | − | 0.171108i | −0.0172947 | − | 0.0111146i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 22.2021 | 1.43614 | 0.718068 | − | 0.695973i | \(-0.245027\pi\) | ||||
0.718068 | + | 0.695973i | \(0.245027\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 22.0047 | + | 6.46117i | 1.41745 | + | 0.416200i | 0.898639 | − | 0.438689i | \(-0.144557\pi\) |
0.518810 | + | 0.854890i | \(0.326375\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.841254 | + | 0.540641i | −0.0539664 | + | 0.0346821i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −4.48704 | − | 9.82525i | −0.286667 | − | 0.627712i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 34.7502 | + | 10.2036i | 2.21110 | + | 0.649238i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3.19132 | − | 3.68298i | −0.202242 | − | 0.233399i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.72323 | + | 25.8956i | −0.235008 | + | 1.63452i | 0.440919 | + | 0.897547i | \(0.354653\pi\) |
−0.675927 | + | 0.736969i | \(0.736256\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −22.1545 | − | 25.5677i | −1.39284 | − | 1.60743i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −5.70004 | + | 3.66319i | −0.356950 | + | 0.229398i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −7.77514 | + | 2.28299i | −0.485000 | + | 0.142409i | −0.515086 | − | 0.857139i | \(-0.672240\pi\) |
0.0300863 | + | 0.999547i | \(0.490422\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.18461 | + | 4.82930i | −0.260019 | + | 0.300078i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.33157 | + | 2.69077i | −0.144321 | + | 0.166555i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 3.00315 | − | 0.881805i | 0.185182 | − | 0.0543744i | −0.187827 | − | 0.982202i | \(-0.560144\pi\) |
0.373009 | + | 0.927828i | \(0.378326\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.12325 | + | 2.45956i | 0.0690004 | + | 0.151090i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.01586 | 0.429364 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −4.50112 | −0.274438 | −0.137219 | − | 0.990541i | \(-0.543816\pi\) | ||||
−0.137219 | + | 0.990541i | \(0.543816\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.63644 | + | 7.96269i | 0.220898 | + | 0.483699i | 0.987341 | − | 0.158614i | \(-0.0507024\pi\) |
−0.766443 | + | 0.642312i | \(0.777975\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −5.19018 | + | 1.52398i | −0.314124 | + | 0.0922352i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.76031 | − | 7.80181i | 0.407662 | − | 0.470467i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −15.8811 | + | 18.3277i | −0.954200 | + | 1.10121i | 0.0405815 | + | 0.999176i | \(0.487079\pi\) |
−0.994781 | + | 0.102029i | \(0.967466\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 2.91974 | − | 0.857313i | 0.174800 | − | 0.0513260i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.01093 | + | 1.93501i | −0.179617 | + | 0.115433i | −0.627360 | − | 0.778729i | \(-0.715864\pi\) |
0.447743 | + | 0.894163i | \(0.352228\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.92622 | + | 2.22298i | 0.114502 | + | 0.132142i | 0.810107 | − | 0.586282i | \(-0.199409\pi\) |
−0.695605 | + | 0.718425i | \(0.744864\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.90555 | + | 13.2534i | −0.112875 | + | 0.785064i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −4.65508 | − | 5.37225i | −0.274781 | − | 0.317114i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.46315 | + | 1.01687i | 0.203714 | + | 0.0598160i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.211291 | − | 0.462663i | −0.0123861 | − | 0.0271218i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −12.4449 | + | 7.99786i | −0.727040 | + | 0.467240i | −0.851079 | − | 0.525037i | \(-0.824051\pi\) |
0.124040 | + | 0.992277i | \(0.460415\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.38449 | + | 0.700149i | 0.138830 | + | 0.0407643i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −6.56894 | −0.381168 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 21.6990 | + | 13.9451i | 1.25489 | + | 0.806466i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.83859 | + | 6.73809i | 0.336531 | + | 0.388377i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −6.34453 | + | 13.8926i | −0.364484 | + | 0.798108i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −0.392308 | −0.0224635 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.6458 | + | 17.7669i | 1.57783 | + | 1.01401i | 0.976634 | + | 0.214909i | \(0.0689455\pi\) |
0.601197 | + | 0.799101i | \(0.294691\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.59915 | + | 11.1223i | −0.0909725 | + | 0.632728i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.71480 | + | 25.8370i | −0.210647 | + | 1.46508i | 0.560358 | + | 0.828251i | \(0.310664\pi\) |
−0.771005 | + | 0.636829i | \(0.780246\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.00882 | − | 13.1575i | 0.339638 | − | 0.743704i | −0.660335 | − | 0.750971i | \(-0.729586\pi\) |
0.999974 | + | 0.00726673i | \(0.00231309\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.830765 | − | 1.81912i | −0.0468083 | − | 0.102496i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −0.816861 | − | 5.68139i | −0.0458795 | − | 0.319099i | −0.999818 | − | 0.0190956i | \(-0.993921\pi\) |
0.953938 | − | 0.300003i | \(-0.0969878\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −22.4407 | + | 6.58918i | −1.25644 | + | 0.368923i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.42826 | + | 9.93374i | 0.0797175 | + | 0.554447i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −22.2612 | + | 14.3064i | −1.23865 | + | 0.796029i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.26964 | + | 7.15951i | −0.181367 | + | 0.397138i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −4.61414 | − | 2.96533i | −0.255162 | − | 0.163983i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 13.4623 | + | 3.95289i | 0.742200 | + | 0.217930i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.85936 | − | 12.9321i | −0.102200 | − | 0.710814i | −0.974914 | − | 0.222583i | \(-0.928551\pi\) |
0.872714 | − | 0.488232i | \(-0.162358\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.87444 | − | 4.47135i | 0.212318 | − | 0.245028i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 13.3406 | − | 7.19280i | 0.728874 | − | 0.392985i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.12315 | − | 9.37462i | 0.442496 | − | 0.510668i | −0.490062 | − | 0.871688i | \(-0.663026\pi\) |
0.932558 | + | 0.361020i | \(0.117571\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −0.0675573 | − | 0.469871i | −0.00366921 | − | 0.0255199i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 19.1796 | + | 5.63163i | 1.03863 | + | 0.304970i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.6605 | + | 7.49375i | 0.629608 | + | 0.404625i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −3.96142 | + | 8.67429i | −0.213276 | + | 0.467008i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −11.5268 | + | 7.40784i | −0.618792 | + | 0.397673i | −0.812145 | − | 0.583456i | \(-0.801700\pi\) |
0.193353 | + | 0.981129i | \(0.438064\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.418591 | + | 2.91137i | 0.0224067 | + | 0.155842i | 0.997953 | − | 0.0639522i | \(-0.0203705\pi\) |
−0.975546 | + | 0.219794i | \(0.929461\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.80548 | − | 1.41102i | 0.256498 | − | 0.0753145i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −1.18195 | − | 8.22064i | −0.0629089 | − | 0.437541i | −0.996797 | − | 0.0799751i | \(-0.974516\pi\) |
0.933888 | − | 0.357566i | \(-0.116393\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −7.66525 | − | 16.7846i | −0.406829 | − | 0.890832i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 1.64183 | − | 3.59511i | 0.0868950 | − | 0.190274i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.12157 | − | 7.80070i | 0.0591943 | − | 0.411705i | −0.938582 | − | 0.345056i | \(-0.887860\pi\) |
0.997776 | − | 0.0666495i | \(-0.0212309\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.73804 | + | 32.9538i | −0.249371 | + | 1.73441i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −27.0471 | − | 17.3821i | −1.41960 | − | 0.912323i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −22.4965 | −1.17752 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.297957 | − | 0.652435i | 0.0155532 | − | 0.0340568i | −0.901696 | − | 0.432371i | \(-0.857677\pi\) |
0.917249 | + | 0.398314i | \(0.130404\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.31004 | + | 4.97405i | 0.224372 | + | 0.258939i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.32683 | − | 0.852702i | −0.0688856 | − | 0.0442701i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.6530 | 0.706926 | 0.353463 | − | 0.935449i | \(-0.385004\pi\) | ||||
0.353463 | + | 0.935449i | \(0.385004\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −11.6750 | − | 3.42810i | −0.602897 | − | 0.177026i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 15.0010 | − | 9.64058i | 0.772593 | − | 0.496515i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 6.38225 | + | 13.9752i | 0.327834 | + | 0.717856i | 0.999741 | − | 0.0227795i | \(-0.00725158\pi\) |
−0.671906 | + | 0.740636i | \(0.734524\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.77297 | + | 1.10784i | 0.193295 | + | 0.0567565i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 11.4782 | + | 13.2465i | 0.586507 | + | 0.676866i | 0.968991 | − | 0.247097i | \(-0.0794765\pi\) |
−0.382483 | + | 0.923962i | \(0.624931\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.86957 | − | 13.0031i | 0.0952820 | − | 0.662701i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −5.40582 | − | 6.23865i | −0.274793 | − | 0.317128i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 25.5214 | − | 16.4016i | 1.29399 | − | 0.831595i | 0.301443 | − | 0.953484i | \(-0.402532\pi\) |
0.992544 | + | 0.121889i | \(0.0388952\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.0826 | + | 5.30953i | −0.914476 | + | 0.268514i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −13.6768 | + | 15.7839i | −0.689905 | + | 0.796193i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −0.383760 | + | 0.442883i | −0.0193091 | + | 0.0222839i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −31.7750 | + | 9.32999i | −1.59474 | + | 0.468259i | −0.954077 | − | 0.299561i | \(-0.903160\pi\) |
−0.640666 | + | 0.767820i | \(0.721342\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.24451 | − | 7.10448i | −0.162428 | − | 0.355669i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.62132 | 0.430528 | 0.215264 | − | 0.976556i | \(-0.430939\pi\) | ||||
0.215264 | + | 0.976556i | \(0.430939\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −15.2404 | −0.759180 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.769188 | + | 1.68429i | 0.0382212 | + | 0.0836929i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 37.2904 | − | 10.9495i | 1.84842 | − | 0.542744i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.1503 | + | 19.7925i | −0.848028 | + | 0.978676i | −0.999953 | − | 0.00971574i | \(-0.996907\pi\) |
0.151925 | + | 0.988392i | \(0.451453\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.17992 | − | 5.97795i | 0.255507 | − | 0.294870i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.39088 | + | 0.408401i | −0.0684410 | + | 0.0200961i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.59099 | + | 4.87843i | −0.372627 | + | 0.239473i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 14.3334 | + | 16.5416i | 0.701910 | + | 0.810047i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −3.56496 | + | 24.7949i | −0.174160 | + | 1.21131i | 0.695818 | + | 0.718218i | \(0.255042\pi\) |
−0.869978 | + | 0.493090i | \(0.835867\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 10.3091 | + | 11.8973i | 0.502433 | + | 0.579839i | 0.949145 | − | 0.314839i | \(-0.101951\pi\) |
−0.446712 | + | 0.894678i | \(0.647405\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −12.4644 | − | 3.65989i | −0.606042 | − | 0.177950i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −2.38894 | − | 5.23105i | −0.115881 | − | 0.253743i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.192509 | − | 0.123718i | 0.00931614 | − | 0.00598712i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 31.5669 | + | 9.26887i | 1.52406 | + | 0.447505i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 29.4346 | 1.41781 | 0.708907 | − | 0.705302i | \(-0.249189\pi\) | ||||
0.708907 | + | 0.705302i | \(0.249189\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −13.4260 | − | 8.62834i | −0.645210 | − | 0.414652i | 0.176703 | − | 0.984264i | \(-0.443457\pi\) |
−0.821913 | + | 0.569613i | \(0.807093\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.31716 | + | 4.98227i | 0.206992 | + | 0.238882i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −15.4711 | + | 33.8769i | −0.740082 | + | 1.62055i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −17.1229 | −0.817229 | −0.408615 | − | 0.912707i | \(-0.633988\pi\) | ||||
−0.408615 | + | 0.912707i | \(0.633988\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.90744 | − | 3.15382i | −0.233687 | − | 0.150182i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −0.280265 | + | 1.94928i | −0.0133158 | + | 0.0926133i | −0.995396 | − | 0.0958524i | \(-0.969442\pi\) |
0.982080 | + | 0.188466i | \(0.0603514\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.84876 | − | 12.8584i | 0.0876398 | − | 0.609548i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −4.73561 | + | 10.3695i | −0.223987 | + | 0.490462i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 1.16035 | + | 2.54082i | 0.0547604 | + | 0.119909i | 0.935034 | − | 0.354557i | \(-0.115368\pi\) |
−0.880274 | + | 0.474466i | \(0.842641\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.15286 | + | 42.7941i | 0.289727 | + | 2.01510i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 5.46680 | − | 1.60520i | 0.256853 | − | 0.0754187i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.42541 | + | 9.91398i | 0.0668245 | + | 0.464774i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.41726 | − | 2.19614i | 0.159853 | − | 0.102731i | −0.458269 | − | 0.888814i | \(-0.651530\pi\) |
0.618122 | + | 0.786083i | \(0.287894\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.52014 | + | 3.32864i | −0.0709540 | + | 0.155368i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 8.53402 | + | 5.48448i | 0.397469 | + | 0.255438i | 0.724073 | − | 0.689723i | \(-0.242268\pi\) |
−0.326604 | + | 0.945161i | \(0.605904\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.0372962 | − | 0.0109512i | −0.00173330 | − | 0.000508943i | 0.280866 | − | 0.959747i | \(-0.409378\pi\) |
−0.282599 | + | 0.959238i | \(0.591197\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.801868 | − | 5.57711i | −0.0371857 | − | 0.258632i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 10.5560 | − | 12.1823i | 0.488474 | − | 0.563729i | −0.456983 | − | 0.889475i | \(-0.651070\pi\) |
0.945457 | + | 0.325746i | \(0.105615\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.27801 | + | 7.73663i | −0.197540 | + | 0.357244i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.02328 | − | 2.33498i | 0.0932276 | − | 0.107590i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −7.71717 | − | 53.6741i | −0.354836 | − | 2.46794i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.9040 | − | 3.20170i | −0.500309 | − | 0.146904i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.22848 | + | 0.789498i | 0.0562484 | + | 0.0361486i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 11.0837 | − | 24.2699i | 0.506427 | − | 1.10892i | −0.467900 | − | 0.883781i | \(-0.654989\pi\) |
0.974327 | − | 0.225138i | \(-0.0722834\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −24.9277 | + | 16.0201i | −1.13661 | + | 0.730452i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.791616 | − | 5.50581i | −0.0360198 | − | 0.250523i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.903631 | + | 0.265330i | −0.0410317 | + | 0.0120480i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 6.22412 | + | 43.2897i | 0.282042 | + | 1.96164i | 0.274197 | + | 0.961674i | \(0.411588\pi\) |
0.00784481 | + | 0.999969i | \(0.497503\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 4.89586 | + | 10.7204i | 0.221399 | + | 0.484795i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 11.3020 | − | 24.7478i | 0.510050 | − | 1.11685i | −0.463020 | − | 0.886348i | \(-0.653234\pi\) |
0.973071 | − | 0.230507i | \(-0.0740385\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.85417 | + | 12.8961i | −0.0835078 | + | 0.580809i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.73099 | + | 12.0393i | −0.0778024 | + | 0.541127i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 9.05455 | + | 5.81901i | 0.406152 | + | 0.261018i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 14.7062 | 0.658339 | 0.329169 | − | 0.944271i | \(-0.393231\pi\) | ||||
0.329169 | + | 0.944271i | \(0.393231\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.61937 | − | 10.1150i | 0.206378 | − | 0.451906i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −20.5152 | − | 23.6758i | −0.914729 | − | 1.05565i | −0.998249 | − | 0.0591472i | \(-0.981162\pi\) |
0.0835205 | − | 0.996506i | \(-0.473384\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 23.7900 | + | 15.2889i | 1.05864 | + | 0.680347i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −12.0836 | −0.536651 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 7.30156 | + | 2.14393i | 0.323636 | + | 0.0950281i | 0.439515 | − | 0.898235i | \(-0.355150\pi\) |
−0.115879 | + | 0.993263i | \(0.536968\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.0392 | − | 7.09446i | 0.488345 | − | 0.313841i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 3.00402 | + | 6.57788i | 0.132631 | + | 0.290421i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 19.9632 | + | 5.86174i | 0.879686 | + | 0.258299i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −55.8824 | − | 64.4917i | −2.45771 | − | 2.83634i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.225811 | + | 1.57055i | −0.00991198 | + | 0.0689394i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 14.5179 | + | 16.7546i | 0.636041 | + | 0.734031i | 0.978670 | − | 0.205440i | \(-0.0658627\pi\) |
−0.342628 | + | 0.939471i | \(0.611317\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.0776 | + | 12.9031i | −0.877931 | + | 0.564212i | −0.900169 | − | 0.435541i | \(-0.856557\pi\) |
0.0222380 | + | 0.999753i | \(0.492921\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 1.62858 | − | 0.478196i | 0.0710773 | − | 0.0208702i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 7.29209 | − | 8.41552i | 0.317648 | − | 0.366586i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.30762 | + | 2.66313i | −0.100331 | + | 0.115788i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.28779 | − | 0.378129i | 0.0558853 | − | 0.0164094i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −13.6933 | − | 29.9842i | −0.593124 | − | 1.29876i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.5826 | 0.803395 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.16251 | 0.0501660 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −15.9186 | − | 34.8569i | −0.685663 | − | 1.50139i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 25.8313 | − | 7.58477i | 1.11058 | − | 0.326095i | 0.325530 | − | 0.945532i | \(-0.394457\pi\) |
0.785046 | + | 0.619437i | \(0.212639\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 12.5030 | − | 14.4293i | 0.536557 | − | 0.619220i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −6.65063 | + | 7.67523i | −0.284882 | + | 0.328771i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.6118 | + | 3.70316i | −0.539242 | + | 0.158336i | −0.540002 | − | 0.841664i | \(-0.681576\pi\) |
0.000759759 | 1.00000i | \(0.499758\pi\) | ||||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.178240 | + | 0.114548i | −0.00760708 | + | 0.00488877i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 16.8604 | + | 19.4580i | 0.718279 | + | 0.828938i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.0486471 | − | 0.338348i | 0.00206869 | − | 0.0143880i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −7.17397 | − | 8.27920i | −0.304518 | − | 0.351433i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −24.8846 | − | 7.30677i | −1.05439 | − | 0.309598i | −0.291802 | − | 0.956479i | \(-0.594255\pi\) |
−0.762591 | + | 0.646881i | \(0.776073\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 17.1747 | + | 37.6074i | 0.726414 | + | 1.59062i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −20.2219 | + | 12.9958i | −0.853771 | + | 0.548685i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 18.0781 | + | 5.30821i | 0.761901 | + | 0.223714i | 0.639526 | − | 0.768770i | \(-0.279131\pi\) |
0.122375 | + | 0.992484i | \(0.460949\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.878966 | −0.0369784 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.908600 | − | 0.583922i | −0.0381576 | − | 0.0245224i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −6.21332 | − | 7.17055i | −0.260476 | − | 0.300605i | 0.610415 | − | 0.792082i | \(-0.291003\pi\) |
−0.870891 | + | 0.491477i | \(0.836457\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.7351 | − | 38.8346i | 0.742193 | − | 1.62518i | −0.0377207 | − | 0.999288i | \(-0.512010\pi\) |
0.779914 | − | 0.625887i | \(-0.215263\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 11.6802 | 0.487947 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.80875 | − | 4.37572i | −0.283945 | − | 0.182480i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −4.10699 | + | 28.5647i | −0.170976 | + | 1.18916i | 0.705852 | + | 0.708360i | \(0.250565\pi\) |
−0.876828 | + | 0.480805i | \(0.840345\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −3.02801 | + | 21.0603i | −0.125840 | + | 0.875234i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 2.18650 | − | 4.78777i | 0.0907113 | − | 0.198630i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.98492 | + | 8.72575i | 0.165038 | + | 0.361384i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.31976 | − | 9.17914i | −0.0545654 | − | 0.379511i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 0.103554 | − | 0.0304062i | 0.00427413 | − | 0.00125500i | −0.279595 | − | 0.960118i | \(-0.590200\pi\) |
0.283869 | + | 0.958863i | \(0.408382\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.13165 | − | 21.7811i | −0.129037 | − | 0.897474i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 8.41000 | − | 5.40478i | 0.345941 | − | 0.222323i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −5.75662 | + | 12.6052i | −0.236396 | + | 0.517635i | −0.990232 | − | 0.139427i | \(-0.955474\pi\) |
0.753836 | + | 0.657062i | \(0.228201\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.15636 | − | 3.95645i | −0.252386 | − | 0.162199i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 10.6099 | + | 3.11533i | 0.434232 | + | 0.127502i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 2.65164 | + | 18.4426i | 0.108343 | + | 0.753543i | 0.969480 | + | 0.245170i | \(0.0788438\pi\) |
−0.861137 | + | 0.508373i | \(0.830247\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.5061 | − | 16.7409i | 0.591715 | − | 0.682875i | −0.378366 | − | 0.925656i | \(-0.623514\pi\) |
0.970081 | + | 0.242781i | \(0.0780595\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 3.96092 | − | 7.16318i | 0.161301 | − | 0.291707i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −38.9845 | + | 44.9906i | −1.58495 | + | 1.82913i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −6.12585 | − | 42.6062i | −0.248641 | − | 1.72933i | −0.606085 | − | 0.795400i | \(-0.707261\pi\) |
0.357445 | − | 0.933934i | \(-0.383648\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −3.68967 | − | 1.08338i | −0.149513 | − | 0.0439009i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 54.7335 | + | 35.1751i | 2.21428 | + | 1.42303i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.59468 | − | 12.2506i | 0.225967 | − | 0.494799i | −0.762359 | − | 0.647155i | \(-0.775959\pi\) |
0.988326 | + | 0.152356i | \(0.0486861\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 10.2520 | − | 6.58857i | 0.413401 | − | 0.265677i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 0.546163 | + | 3.79865i | 0.0219877 | + | 0.152928i | 0.997857 | − | 0.0654256i | \(-0.0208405\pi\) |
−0.975870 | + | 0.218354i | \(0.929931\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.1539 | + | 3.86232i | −0.528699 | + | 0.155240i | −0.535178 | − | 0.844739i | \(-0.679756\pi\) |
0.00647978 | + | 0.999979i | \(0.497937\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.732940 | + | 5.09771i | 0.0294119 | + | 0.204564i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 3.14781 | + | 6.89275i | 0.126115 | + | 0.276152i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.09524 | + | 13.3467i | −0.243809 | + | 0.533868i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −6.76029 | + | 47.0189i | −0.269980 | + | 1.87775i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3.08114 | − | 21.4298i | 0.122853 | − | 0.854462i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.3046 | − | 9.19299i | −0.569456 | − | 0.365967i | 0.224005 | − | 0.974588i | \(-0.428087\pi\) |
−0.793461 | + | 0.608621i | \(0.791723\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −22.0773 | −0.877492 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 3.02464 | − | 6.62304i | 0.120029 | − | 0.262827i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 19.1325 | + | 22.0801i | 0.758057 | + | 0.874844i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −8.38342 | − | 5.38769i | −0.331643 | − | 0.213134i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.66303 | 0.184179 | 0.0920893 | − | 0.995751i | \(-0.470645\pi\) | ||||
0.0920893 | + | 0.995751i | \(0.470645\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 22.7653 | + | 6.68450i | 0.897776 | + | 0.263611i | 0.697887 | − | 0.716208i | \(-0.254124\pi\) |
0.199889 | + | 0.979819i | \(0.435942\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −12.8585 | + | 8.26365i | −0.506302 | + | 0.325381i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.66057 | − | 3.63614i | −0.0652837 | − | 0.142951i | 0.874178 | − | 0.485606i | \(-0.161401\pi\) |
−0.939461 | + | 0.342655i | \(0.888674\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 8.45941 | + | 2.48391i | 0.332061 | + | 0.0975019i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.15227 | + | 2.48385i | 0.0843542 | + | 0.0973499i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 1.02272 | − | 7.11316i | 0.0400220 | − | 0.278359i | −0.959976 | − | 0.280081i | \(-0.909639\pi\) |
0.999999 | + | 0.00172121i | \(0.000547878\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 25.3242 | + | 29.2257i | 0.989499 | + | 1.14194i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −10.2210 | + | 6.56861i | −0.398758 | + | 0.256266i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −9.59738 | + | 2.81805i | −0.373861 | + | 0.109775i | −0.463265 | − | 0.886220i | \(-0.653322\pi\) |
0.0894037 | + | 0.995995i | \(0.471504\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.11853 | − | 2.44492i | 0.0824013 | − | 0.0950962i | −0.713052 | − | 0.701111i | \(-0.752688\pi\) |
0.795453 | + | 0.606015i | \(0.207233\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 12.0018 | − | 13.8508i | 0.466109 | − | 0.537919i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −13.8758 | + | 4.07431i | −0.538081 | + | 0.157995i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.61728 | + | 16.6795i | 0.294942 | + | 0.645833i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −23.1638 | −0.895566 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.39178 | −0.0537292 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −18.7166 | − | 40.9837i | −0.721473 | − | 1.57981i | −0.811829 | − | 0.583896i | \(-0.801528\pi\) |
0.0903556 | − | 0.995910i | \(-0.471200\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.50787 | + | 0.442751i | −0.0580380 | + | 0.0170415i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 2.44945 | − | 2.82681i | 0.0941399 | − | 0.108643i | −0.706725 | − | 0.707489i | \(-0.749828\pi\) |
0.800865 | + | 0.598845i | \(0.204374\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.359744 | − | 0.415167i | 0.0138057 | − | 0.0159326i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −23.6971 | + | 6.95808i | −0.908073 | + | 0.266634i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 14.3418 | − | 9.21694i | 0.548775 | − | 0.352676i | −0.236687 | − | 0.971586i | \(-0.576062\pi\) |
0.785462 | + | 0.618910i | \(0.212425\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −9.59121 | − | 11.0688i | −0.366461 | − | 0.422919i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.01564 | − | 14.0191i | 0.0769016 | − | 0.534863i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −4.78946 | − | 5.52733i | −0.182464 | − | 0.210574i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −29.6452 | − | 8.70462i | −1.12776 | − | 0.331139i | −0.335932 | − | 0.941886i | \(-0.609051\pi\) |
−0.791826 | + | 0.610747i | \(0.790869\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.94729 | − | 6.45367i | −0.111958 | − | 0.245155i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 34.0940 | − | 21.9109i | 1.29326 | − | 0.831126i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 23.1087 | + | 6.78532i | 0.875303 | + | 0.257012i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −24.6832 | −0.933606 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −11.7482 | − | 7.55013i | −0.443725 | − | 0.285164i | 0.299638 | − | 0.954053i | \(-0.403134\pi\) |
−0.743363 | + | 0.668888i | \(0.766770\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −28.0175 | − | 32.3340i | −1.05670 | − | 1.21950i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −9.99226 | + | 21.8800i | −0.376330 | + | 0.824048i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −16.4954 | −0.620374 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.9925 | + | 7.70714i | 0.450389 | + | 0.289448i | 0.746105 | − | 0.665828i | \(-0.231922\pi\) |
−0.295716 | + | 0.955276i | \(0.595558\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.0450413 | + | 0.313269i | −0.00168918 | + | 0.0117485i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 2.23034 | − | 15.5123i | 0.0835268 | − | 0.580942i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 25.3059 | − | 55.4123i | 0.946388 | − | 2.07230i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −9.22310 | − | 20.1958i | −0.344443 | − | 0.754225i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −6.47060 | − | 45.0040i | −0.241313 | − | 1.67837i | −0.645555 | − | 0.763714i | \(-0.723374\pi\) |
0.404243 | − | 0.914652i | \(-0.367535\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −11.6447 | + | 3.41918i | −0.433670 | + | 0.127337i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −3.26380 | − | 22.7003i | −0.121382 | − | 0.844232i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −4.70705 | + | 3.02504i | −0.174816 | + | 0.112347i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.47740 | − | 7.61444i | 0.128970 | − | 0.282404i | −0.834121 | − | 0.551581i | \(-0.814025\pi\) |
0.963091 | + | 0.269178i | \(0.0867518\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −28.9838 | − | 8.51041i | −1.07200 | − | 0.314769i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.43843 | − | 16.9596i | −0.0900653 | − | 0.626418i | −0.983993 | − | 0.178207i | \(-0.942970\pi\) |
0.893928 | − | 0.448211i | \(-0.147939\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −7.07338 | + | 8.16311i | −0.260906 | + | 0.301101i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 47.3281 | − | 25.5178i | 1.74335 | − | 0.939960i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 14.6066 | − | 16.8569i | 0.537313 | − | 0.620092i | −0.420567 | − | 0.907261i | \(-0.638169\pi\) |
0.957880 | + | 0.287169i | \(0.0927143\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −5.15425 | − | 35.8486i | −0.189346 | − | 1.31693i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −17.9183 | − | 5.26128i | −0.657358 | − | 0.193018i | −0.0639919 | − | 0.997950i | \(-0.520383\pi\) |
−0.593366 | + | 0.804933i | \(0.702201\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17.7570 | + | 11.4118i | 0.650568 | + | 0.418095i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −2.02443 | + | 4.43289i | −0.0740702 | + | 0.162191i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −9.11861 | + | 5.86018i | −0.333187 | + | 0.214126i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.63994 | + | 25.3163i | 0.132823 | + | 0.923807i | 0.941850 | + | 0.336034i | \(0.109086\pi\) |
−0.809026 | + | 0.587772i | \(0.800005\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 25.1022 | − | 7.37066i | 0.914773 | − | 0.268602i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.50138 | − | 10.4424i | −0.0546410 | − | 0.380036i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 20.4627 | + | 44.8072i | 0.743731 | + | 1.62854i | 0.777318 | + | 0.629108i | \(0.216580\pi\) |
−0.0335870 | + | 0.999436i | \(0.510693\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −14.0538 | + | 30.7736i | −0.510122 | + | 1.11701i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 4.47973 | − | 31.1572i | 0.162390 | − | 1.12945i | −0.731721 | − | 0.681604i | \(-0.761283\pi\) |
0.894111 | − | 0.447845i | \(-0.147808\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.843062 | − | 5.86363i | 0.0305209 | − | 0.212278i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 5.70004 | + | 3.66319i | 0.206085 | + | 0.132443i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −6.72200 | −0.242717 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −17.6486 | + | 38.6450i | −0.636424 | + | 1.39357i | 0.266526 | + | 0.963828i | \(0.414124\pi\) |
−0.902950 | + | 0.429746i | \(0.858603\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.30658 | + | 6.12413i | 0.191112 | + | 0.220555i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 9.10646 | + | 5.85237i | 0.327537 | + | 0.210495i | 0.694066 | − | 0.719912i | \(-0.255818\pi\) |
−0.366529 | + | 0.930407i | \(0.619454\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.78217 | 0.171781 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 6.13124 | + | 1.80029i | 0.219957 | + | 0.0645852i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 40.0387 | − | 25.7313i | 1.43453 | − | 0.921919i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −27.1939 | − | 59.5463i | −0.973074 | − | 2.13073i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 3.41618 | + | 1.00308i | 0.122084 | + | 0.0358472i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −3.74632 | − | 4.32349i | −0.133712 | − | 0.154312i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.51309 | − | 52.2547i | 0.267813 | − | 1.86268i | −0.201284 | − | 0.979533i | \(-0.564512\pi\) |
0.469097 | − | 0.883147i | \(-0.344579\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −2.04967 | − | 2.36545i | −0.0729703 | − | 0.0842122i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.431315 | − | 0.277189i | 0.0153358 | − | 0.00985572i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.01815 | − | 0.298957i | 0.0361557 | − | 0.0106163i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1.77069 | − | 2.04348i | 0.0627997 | − | 0.0724748i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 6.64013 | − | 7.66312i | 0.235206 | − | 0.271442i | −0.625860 | − | 0.779935i | \(-0.715252\pi\) |
0.861066 | + | 0.508494i | \(0.169797\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −45.6114 | + | 13.3927i | −1.61362 | + | 0.473801i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.91449 | − | 6.38185i | −0.102979 | − | 0.225492i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −79.8104 | −2.81645 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −10.2995 | −0.363008 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1.86983 | + | 4.09436i | 0.0658213 | + | 0.144128i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 39.4325 | − | 11.5784i | 1.38637 | − | 0.407076i | 0.498390 | − | 0.866953i | \(-0.333925\pi\) |
0.887982 | + | 0.459878i | \(0.152107\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 13.0681 | − | 15.0814i | 0.458883 | − | 0.529579i | −0.478403 | − | 0.878140i | \(-0.658784\pi\) |
0.937286 | + | 0.348561i | \(0.113330\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.73248 | − | 6.61564i | 0.201047 | − | 0.232021i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 20.9382 | − | 6.14801i | 0.733433 | − | 0.215355i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −50.2181 | + | 32.2732i | −1.75691 | + | 1.12910i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 3.54234 | + | 4.08807i | 0.123779 | + | 0.142849i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.92406 | − | 27.2925i | 0.136951 | − | 0.952514i | −0.799238 | − | 0.601015i | \(-0.794763\pi\) |
0.936188 | − | 0.351499i | \(-0.114328\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −29.7634 | − | 34.3488i | −1.03749 | − | 1.19732i | −0.980004 | − | 0.198977i | \(-0.936238\pi\) |
−0.0574825 | − | 0.998347i | \(-0.518307\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −9.90511 | − | 2.90840i | −0.344852 | − | 0.101258i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 8.49965 | + | 18.6116i | 0.295562 | + | 0.647190i | 0.997908 | − | 0.0646453i | \(-0.0205916\pi\) |
−0.702347 | + | 0.711835i | \(0.747864\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.0338705 | − | 0.0217672i | 0.00117637 | − | 0.000756008i | −0.540052 | − | 0.841631i | \(-0.681596\pi\) |
0.541229 | + | 0.840875i | \(0.317959\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 23.2687 | + | 6.83231i | 0.807182 | + | 0.237010i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −21.3466 | −0.739616 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −17.3212 | − | 11.1317i | −0.599425 | − | 0.385227i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1.99274 | − | 2.29975i | −0.0688793 | − | 0.0794909i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −19.7584 | + | 43.2649i | −0.682136 | + | 1.49367i | 0.178228 | + | 0.983989i | \(0.442964\pi\) |
−0.860364 | + | 0.509680i | \(0.829764\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16.3235 | −0.562880 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 3.01093 | + | 1.93501i | 0.103702 | + | 0.0666453i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −3.18417 | + | 22.1464i | −0.109539 | + | 0.761859i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.94185 | − | 34.3713i | 0.169804 | − | 1.18101i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1.22191 | − | 2.67561i | 0.0419359 | − | 0.0918268i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −12.6579 | − | 27.7169i | −0.433906 | − | 0.950123i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.37939 | + | 37.4145i | 0.184187 | + | 1.28105i | 0.846730 | + | 0.532023i | \(0.178568\pi\) |
−0.662543 | + | 0.749024i | \(0.730523\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 12.8473 | − | 3.77231i | 0.439369 | − | 0.129010i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0.327965 | + | 2.28105i | 0.0112031 | + | 0.0779192i | 0.994656 | − | 0.103245i | \(-0.0329226\pi\) |
−0.983453 | + | 0.181164i | \(0.942013\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 16.9128 | − | 10.8692i | 0.577058 | − | 0.370853i | −0.219319 | − | 0.975653i | \(-0.570383\pi\) |
0.796377 | + | 0.604800i | \(0.206747\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −2.95298 | + | 6.46612i | −0.100637 | + | 0.220365i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −7.82017 | − | 5.02572i | −0.266202 | − | 0.171077i | 0.400730 | − | 0.916196i | \(-0.368756\pi\) |
−0.666932 | + | 0.745119i | \(0.732393\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.81894 | + | 0.827716i | 0.0958469 | + | 0.0281432i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −0.513664 | − | 3.57261i | −0.0174449 | − | 0.121332i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.36146 | + | 1.57121i | −0.0461844 | + | 0.0532996i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −29.1415 | + | 28.8336i | −0.987421 | + | 0.976989i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.333079 | + | 0.384394i | −0.0112730 | + | 0.0130098i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.87031 | − | 13.0083i | −0.0632279 | − | 0.439760i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5.52715 | − | 1.62292i | −0.186639 | − | 0.0548021i | 0.187078 | − | 0.982345i | \(-0.440098\pi\) |
−0.373716 | + | 0.927543i | \(0.621917\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 12.4449 | + | 7.99786i | 0.419757 | + | 0.269761i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −0.590178 | + | 1.29231i | −0.0198836 | + | 0.0435390i | −0.919313 | − | 0.393527i | \(-0.871255\pi\) |
0.899430 | + | 0.437066i | \(0.143982\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −14.8798 | + | 9.56264i | −0.500744 | + | 0.321809i | −0.766514 | − | 0.642228i | \(-0.778010\pi\) |
0.265770 | + | 0.964037i | \(0.414374\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.353675 | − | 2.45986i | −0.0118886 | − | 0.0826873i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −3.97071 | + | 1.16591i | −0.133323 | + | 0.0391473i | −0.347713 | − | 0.937601i | \(-0.613042\pi\) |
0.214390 | + | 0.976748i | \(0.431224\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.604418 | + | 4.20382i | 0.0202715 | + | 0.140992i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.72883 | + | 5.97531i | 0.0914194 | + | 0.200181i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −39.0242 | + | 85.4510i | −1.30589 | + | 2.85951i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.306335 | − | 2.13061i | 0.0102397 | − | 0.0712184i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.67082 | − | 25.5311i | 0.122565 | − | 0.852459i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −9.11441 | − | 5.85748i | −0.303983 | − | 0.195358i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.34371 | 0.178025 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.70374 | − | 8.11007i | 0.123253 | − | 0.269886i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −23.1508 | − | 26.7174i | −0.769558 | − | 0.888118i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 35.5736 | + | 22.8618i | 1.18120 | + | 0.759112i | 0.975607 | − | 0.219525i | \(-0.0704509\pi\) |
0.205594 | + | 0.978637i | \(0.434087\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 15.2728 | 0.506565 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 54.1763 | + | 15.9076i | 1.79494 | + | 0.527042i | 0.997119 | − | 0.0758513i | \(-0.0241674\pi\) |
0.797822 | + | 0.602893i | \(0.205986\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −26.9304 | + | 17.3071i | −0.891267 | + | 0.572783i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.162971 | + | 0.356856i | 0.00538764 | + | 0.0117973i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −21.6434 | − | 6.35506i | −0.714727 | − | 0.209863i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 18.2992 | + | 21.1184i | 0.603634 | + | 0.696631i | 0.972514 | − | 0.232846i | \(-0.0748039\pi\) |
−0.368879 | + | 0.929477i | \(0.620258\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 4.67684 | − | 32.5282i | 0.154107 | − | 1.07184i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 32.6842 | + | 37.7196i | 1.07581 | + | 1.24156i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.82186 | − | 5.02680i | 0.257181 | − | 0.165280i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 10.7815 | − | 3.16575i | 0.354112 | − | 0.103977i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −28.2651 | + | 32.6197i | −0.927349 | + | 1.07022i | 0.0700071 | + | 0.997546i | \(0.477698\pi\) |
−0.997356 | + | 0.0726712i | \(0.976848\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −27.6247 | + | 31.8806i | −0.905362 | + | 1.04484i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 25.0453 | − | 7.35397i | 0.819947 | − | 0.240758i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 18.4896 | + | 40.4866i | 0.604676 | + | 1.32405i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −14.6366 | −0.478158 | −0.239079 | − | 0.971000i | \(-0.576845\pi\) | ||||
−0.239079 | + | 0.971000i | \(0.576845\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −14.4646 | −0.472035 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −14.1670 | − | 31.0215i | −0.461832 | − | 1.01127i | −0.987066 | − | 0.160313i | \(-0.948750\pi\) |
0.525234 | − | 0.850958i | \(-0.323978\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 32.5231 | − | 9.54965i | 1.05910 | − | 0.310979i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −1.30962 | + | 1.51138i | −0.0426019 | + | 0.0491652i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 16.1148 | − | 18.5974i | 0.523659 | − | 0.604335i | −0.430884 | − | 0.902407i | \(-0.641798\pi\) |
0.954543 | + | 0.298072i | \(0.0963437\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 58.3850 | − | 17.1434i | 1.89526 | − | 0.556498i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −4.82864 | + | 3.10318i | −0.156579 | + | 0.100627i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −9.77269 | − | 11.2783i | −0.316568 | − | 0.365339i | 0.575057 | − | 0.818113i | \(-0.304980\pi\) |
−0.891625 | + | 0.452774i | \(0.850434\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.07787 | − | 21.4070i | 0.0995975 | − | 0.692716i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 15.3159 | + | 17.6755i | 0.495094 | + | 0.571369i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 8.19713 | + | 2.40689i | 0.264699 | + | 0.0777227i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.03118 | − | 19.7755i | −0.291328 | − | 0.637920i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 8.44273 | − | 5.42581i | 0.272063 | − | 0.174844i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 37.8006 | + | 11.0993i | 1.21684 | + | 0.357298i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 35.3257 | 1.13600 | 0.567999 | − | 0.823029i | \(-0.307718\pi\) | ||||
0.567999 | + | 0.823029i | \(0.307718\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 22.2612 | + | 14.3064i | 0.715132 | + | 0.459587i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −10.0936 | − | 11.6487i | −0.323920 | − | 0.373823i | 0.570312 | − | 0.821428i | \(-0.306822\pi\) |
−0.894231 | + | 0.447605i | \(0.852277\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −9.82038 | + | 21.5036i | −0.314827 | + | 0.689375i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 7.87077 | 0.252067 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1.10686 | + | 0.711337i | 0.0354117 | + | 0.0227577i | 0.558227 | − | 0.829688i | \(-0.311482\pi\) |
−0.522815 | + | 0.852446i | \(0.675118\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.55883 | − | 45.6176i | 0.209621 | − | 1.45795i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.780573 | + | 5.42901i | −0.0249218 | + | 0.173335i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −13.6681 | + | 29.9291i | −0.435946 | + | 0.954589i | 0.556379 | + | 0.830929i | \(0.312190\pi\) |
−0.992325 | + | 0.123660i | \(0.960537\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.68956 | − | 16.8378i | −0.245010 | − | 0.536497i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1.99677 | − | 13.8878i | −0.0635578 | − | 0.442054i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −40.7918 | + | 11.9776i | −1.29710 | + | 0.380864i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −6.18705 | − | 43.0319i | −0.196538 | − | 1.36695i | −0.814234 | − | 0.580537i | \(-0.802843\pi\) |
0.617696 | − | 0.786417i | \(-0.288066\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −10.9911 | + | 7.06354i | −0.348791 | + | 0.224155i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 8.50550 | − | 18.6244i | 0.269642 | − | 0.590435i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 33.8242 | + | 21.7375i | 1.07122 | + | 0.688434i | 0.952514 | − | 0.304495i | \(-0.0984876\pi\) |
0.118710 | + | 0.992929i | \(0.462124\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −5.67678 | − | 1.66685i | −0.179605 | − | 0.0527369i |
(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 | 804.2.q.b.397.2 | yes | 60 | |
67.40 | even | 11 | inner | 804.2.q.b.241.2 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.q.b.241.2 | ✓ | 60 | 67.40 | even | 11 | inner | |
804.2.q.b.397.2 | yes | 60 | 1.1 | even | 1 | trivial |