Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(115,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.115");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.f (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - x^{19} + 11 x^{18} - 3 x^{17} + 103 x^{16} + 50 x^{15} + 1002 x^{14} + 1120 x^{13} + 7288 x^{12} + 5704 x^{11} + 24392 x^{10} + 10376 x^{9} + 48880 x^{8} + 21224 x^{7} + \cdots + 1936 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 191.3 | ||
Root | \(0.0978632 - 0.0711018i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 418.191 |
Dual form | 418.2.f.h.267.3 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | + | 0.587785i | 0.572061 | + | 0.415627i | ||||
\(3\) | 0.0373804 | − | 0.115045i | 0.0215816 | − | 0.0664213i | −0.939686 | − | 0.342039i | \(-0.888882\pi\) |
0.961267 | + | 0.275618i | \(0.0888824\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 1.75481 | − | 1.27494i | 0.784775 | − | 0.570173i | −0.121633 | − | 0.992575i | \(-0.538813\pi\) |
0.906408 | + | 0.422402i | \(0.138813\pi\) | |||||||
\(6\) | 0.0978632 | − | 0.0711018i | 0.0399525 | − | 0.0290272i | ||||
\(7\) | −1.23224 | − | 3.79244i | −0.465742 | − | 1.43341i | −0.858047 | − | 0.513571i | \(-0.828322\pi\) |
0.392305 | − | 0.919835i | \(-0.371678\pi\) | |||||||
\(8\) | −0.309017 | + | 0.951057i | −0.109254 | + | 0.336249i | ||||
\(9\) | 2.41521 | + | 1.75475i | 0.805071 | + | 0.584918i | ||||
\(10\) | 2.16907 | 0.685919 | ||||||||
\(11\) | 3.30226 | + | 0.308300i | 0.995670 | + | 0.0929558i | ||||
\(12\) | 0.120966 | 0.0349197 | ||||||||
\(13\) | −4.23528 | − | 3.07711i | −1.17466 | − | 0.853438i | −0.183097 | − | 0.983095i | \(-0.558612\pi\) |
−0.991559 | + | 0.129657i | \(0.958612\pi\) | |||||||
\(14\) | 1.23224 | − | 3.79244i | 0.329329 | − | 1.01357i | ||||
\(15\) | −0.0810806 | − | 0.249540i | −0.0209349 | − | 0.0644310i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 0.125478 | − | 0.0911651i | 0.0304329 | − | 0.0221108i | −0.572465 | − | 0.819929i | \(-0.694013\pi\) |
0.602898 | + | 0.797818i | \(0.294013\pi\) | |||||||
\(18\) | 0.922529 | + | 2.83925i | 0.217442 | + | 0.669218i | ||||
\(19\) | −0.309017 | + | 0.951057i | −0.0708934 | + | 0.218187i | ||||
\(20\) | 1.75481 | + | 1.27494i | 0.392388 | + | 0.285086i | ||||
\(21\) | −0.482362 | −0.105260 | ||||||||
\(22\) | 2.49037 | + | 2.19044i | 0.530950 | + | 0.467004i | ||||
\(23\) | 5.81978 | 1.21351 | 0.606754 | − | 0.794890i | \(-0.292471\pi\) | ||||
0.606754 | + | 0.794890i | \(0.292471\pi\) | |||||||
\(24\) | 0.0978632 | + | 0.0711018i | 0.0199762 | + | 0.0145136i | ||||
\(25\) | −0.0912072 | + | 0.280707i | −0.0182414 | + | 0.0561414i | ||||
\(26\) | −1.61773 | − | 4.97887i | −0.317264 | − | 0.976437i | ||||
\(27\) | 0.585747 | − | 0.425570i | 0.112727 | − | 0.0819010i | ||||
\(28\) | 3.22604 | − | 2.34385i | 0.609664 | − | 0.442947i | ||||
\(29\) | 1.66553 | + | 5.12596i | 0.309280 | + | 0.951867i | 0.978045 | + | 0.208393i | \(0.0668233\pi\) |
−0.668765 | + | 0.743474i | \(0.733177\pi\) | |||||||
\(30\) | 0.0810806 | − | 0.249540i | 0.0148032 | − | 0.0455596i | ||||
\(31\) | −2.64494 | − | 1.92166i | −0.475046 | − | 0.345141i | 0.324359 | − | 0.945934i | \(-0.394852\pi\) |
−0.799405 | + | 0.600793i | \(0.794852\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0.158908 | − | 0.368385i | 0.0276624 | − | 0.0641276i | ||||
\(34\) | 0.155099 | 0.0265993 | ||||||||
\(35\) | −6.99749 | − | 5.08397i | −1.18279 | − | 0.859349i | ||||
\(36\) | −0.922529 | + | 2.83925i | −0.153755 | + | 0.473209i | ||||
\(37\) | 2.17820 | + | 6.70380i | 0.358093 | + | 1.10210i | 0.954194 | + | 0.299188i | \(0.0967157\pi\) |
−0.596101 | + | 0.802909i | \(0.703284\pi\) | |||||||
\(38\) | −0.809017 | + | 0.587785i | −0.131240 | + | 0.0953514i | ||||
\(39\) | −0.512323 | + | 0.372225i | −0.0820374 | + | 0.0596036i | ||||
\(40\) | 0.670278 | + | 2.06290i | 0.105980 | + | 0.326174i | ||||
\(41\) | −3.28743 | + | 10.1177i | −0.513411 | + | 1.58012i | 0.272744 | + | 0.962087i | \(0.412069\pi\) |
−0.786155 | + | 0.618030i | \(0.787931\pi\) | |||||||
\(42\) | −0.390239 | − | 0.283526i | −0.0602153 | − | 0.0437489i | ||||
\(43\) | −9.72748 | −1.48343 | −0.741713 | − | 0.670717i | \(-0.765986\pi\) | ||||
−0.741713 | + | 0.670717i | \(0.765986\pi\) | |||||||
\(44\) | 0.727246 | + | 3.23591i | 0.109636 | + | 0.487832i | ||||
\(45\) | 6.47546 | 0.965304 | ||||||||
\(46\) | 4.70830 | + | 3.42078i | 0.694201 | + | 0.504367i | ||||
\(47\) | 2.05486 | − | 6.32420i | 0.299732 | − | 0.922480i | −0.681859 | − | 0.731484i | \(-0.738828\pi\) |
0.981591 | − | 0.190996i | \(-0.0611718\pi\) | |||||||
\(48\) | 0.0373804 | + | 0.115045i | 0.00539540 | + | 0.0166053i | ||||
\(49\) | −7.20104 | + | 5.23186i | −1.02872 | + | 0.747409i | ||||
\(50\) | −0.238784 | + | 0.173486i | −0.0337691 | + | 0.0245347i | ||||
\(51\) | −0.00579768 | − | 0.0178434i | −0.000811837 | − | 0.00249858i | ||||
\(52\) | 1.61773 | − | 4.97887i | 0.224339 | − | 0.690445i | ||||
\(53\) | −4.73271 | − | 3.43852i | −0.650088 | − | 0.472317i | 0.213213 | − | 0.977006i | \(-0.431607\pi\) |
−0.863301 | + | 0.504689i | \(0.831607\pi\) | |||||||
\(54\) | 0.724023 | 0.0985271 | ||||||||
\(55\) | 6.18792 | − | 3.66920i | 0.834378 | − | 0.494755i | ||||
\(56\) | 3.98760 | 0.532866 | ||||||||
\(57\) | 0.0978632 | + | 0.0711018i | 0.0129623 | + | 0.00941766i | ||||
\(58\) | −1.66553 | + | 5.12596i | −0.218694 | + | 0.673072i | ||||
\(59\) | −1.34214 | − | 4.13068i | −0.174732 | − | 0.537769i | 0.824889 | − | 0.565294i | \(-0.191237\pi\) |
−0.999621 | + | 0.0275253i | \(0.991237\pi\) | |||||||
\(60\) | 0.212272 | − | 0.154224i | 0.0274042 | − | 0.0199103i | ||||
\(61\) | 2.21329 | − | 1.60805i | 0.283382 | − | 0.205889i | −0.437009 | − | 0.899457i | \(-0.643962\pi\) |
0.720391 | + | 0.693568i | \(0.243962\pi\) | |||||||
\(62\) | −1.01028 | − | 3.10932i | −0.128306 | − | 0.394884i | ||||
\(63\) | 3.67868 | − | 11.3218i | 0.463470 | − | 1.42641i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −11.3553 | −1.40845 | ||||||||
\(66\) | 0.345091 | − | 0.204626i | 0.0424777 | − | 0.0251877i | ||||
\(67\) | 5.66850 | 0.692518 | 0.346259 | − | 0.938139i | \(-0.387452\pi\) | ||||
0.346259 | + | 0.938139i | \(0.387452\pi\) | |||||||
\(68\) | 0.125478 | + | 0.0911651i | 0.0152164 | + | 0.0110554i | ||||
\(69\) | 0.217546 | − | 0.669537i | 0.0261894 | − | 0.0806028i | ||||
\(70\) | −2.67280 | − | 8.22604i | −0.319461 | − | 0.983200i | ||||
\(71\) | −2.97495 | + | 2.16143i | −0.353062 | + | 0.256514i | −0.750152 | − | 0.661265i | \(-0.770020\pi\) |
0.397091 | + | 0.917779i | \(0.370020\pi\) | |||||||
\(72\) | −2.41521 | + | 1.75475i | −0.284636 | + | 0.206800i | ||||
\(73\) | −1.06087 | − | 3.26503i | −0.124166 | − | 0.382142i | 0.869583 | − | 0.493788i | \(-0.164388\pi\) |
−0.993748 | + | 0.111645i | \(0.964388\pi\) | |||||||
\(74\) | −2.17820 | + | 6.70380i | −0.253210 | + | 0.779300i | ||||
\(75\) | 0.0288846 | + | 0.0209859i | 0.00333530 | + | 0.00242324i | ||||
\(76\) | −1.00000 | −0.114708 | ||||||||
\(77\) | −2.89997 | − | 12.9035i | −0.330482 | − | 1.47049i | ||||
\(78\) | −0.633266 | −0.0717033 | ||||||||
\(79\) | 0.416307 | + | 0.302465i | 0.0468382 | + | 0.0340299i | 0.610958 | − | 0.791663i | \(-0.290784\pi\) |
−0.564120 | + | 0.825693i | \(0.690784\pi\) | |||||||
\(80\) | −0.670278 | + | 2.06290i | −0.0749394 | + | 0.230640i | ||||
\(81\) | 2.74052 | + | 8.43446i | 0.304503 | + | 0.937163i | ||||
\(82\) | −8.60661 | + | 6.25307i | −0.950441 | + | 0.690536i | ||||
\(83\) | −11.2169 | + | 8.14955i | −1.23121 | + | 0.894529i | −0.996981 | − | 0.0776512i | \(-0.975258\pi\) |
−0.234233 | + | 0.972180i | \(0.575258\pi\) | |||||||
\(84\) | −0.149058 | − | 0.458754i | −0.0162636 | − | 0.0500542i | ||||
\(85\) | 0.103960 | − | 0.319955i | 0.0112760 | − | 0.0347040i | ||||
\(86\) | −7.86969 | − | 5.71767i | −0.848611 | − | 0.616552i | ||||
\(87\) | 0.651975 | 0.0698990 | ||||||||
\(88\) | −1.31367 | + | 3.04537i | −0.140037 | + | 0.324638i | ||||
\(89\) | −7.18374 | −0.761475 | −0.380738 | − | 0.924683i | \(-0.624330\pi\) | ||||
−0.380738 | + | 0.924683i | \(0.624330\pi\) | |||||||
\(90\) | 5.23876 | + | 3.80618i | 0.552213 | + | 0.401207i | ||||
\(91\) | −6.45088 | + | 19.8538i | −0.676236 | + | 2.08124i | ||||
\(92\) | 1.79841 | + | 5.53494i | 0.187497 | + | 0.577057i | ||||
\(93\) | −0.319947 | + | 0.232455i | −0.0331770 | + | 0.0241045i | ||||
\(94\) | 5.37969 | − | 3.90857i | 0.554872 | − | 0.403138i | ||||
\(95\) | 0.670278 | + | 2.06290i | 0.0687691 | + | 0.211650i | ||||
\(96\) | −0.0373804 | + | 0.115045i | −0.00381512 | + | 0.0117417i | ||||
\(97\) | −9.81172 | − | 7.12863i | −0.996229 | − | 0.723803i | −0.0349527 | − | 0.999389i | \(-0.511128\pi\) |
−0.961276 | + | 0.275586i | \(0.911128\pi\) | |||||||
\(98\) | −8.90098 | −0.899135 | ||||||||
\(99\) | 7.43468 | + | 6.53927i | 0.747214 | + | 0.657222i | ||||
\(100\) | −0.295153 | −0.0295153 | ||||||||
\(101\) | 2.05733 | + | 1.49474i | 0.204712 | + | 0.148732i | 0.685418 | − | 0.728150i | \(-0.259620\pi\) |
−0.480706 | + | 0.876882i | \(0.659620\pi\) | |||||||
\(102\) | 0.00579768 | − | 0.0178434i | 0.000574056 | − | 0.00176676i | ||||
\(103\) | −1.05045 | − | 3.23294i | −0.103504 | − | 0.318551i | 0.885873 | − | 0.463928i | \(-0.153560\pi\) |
−0.989376 | + | 0.145377i | \(0.953560\pi\) | |||||||
\(104\) | 4.23528 | − | 3.07711i | 0.415304 | − | 0.301736i | ||||
\(105\) | −0.846455 | + | 0.614986i | −0.0826056 | + | 0.0600165i | ||||
\(106\) | −1.80774 | − | 5.56364i | −0.175583 | − | 0.540388i | ||||
\(107\) | 3.63072 | − | 11.1742i | 0.350995 | − | 1.08025i | −0.607300 | − | 0.794472i | \(-0.707747\pi\) |
0.958295 | − | 0.285780i | \(-0.0922526\pi\) | |||||||
\(108\) | 0.585747 | + | 0.425570i | 0.0563635 | + | 0.0409505i | ||||
\(109\) | −6.76320 | −0.647797 | −0.323898 | − | 0.946092i | \(-0.604994\pi\) | ||||
−0.323898 | + | 0.946092i | \(0.604994\pi\) | |||||||
\(110\) | 7.16283 | + | 0.668722i | 0.682949 | + | 0.0637601i | ||||
\(111\) | 0.852660 | 0.0809309 | ||||||||
\(112\) | 3.22604 | + | 2.34385i | 0.304832 | + | 0.221473i | ||||
\(113\) | −4.13152 | + | 12.7155i | −0.388661 | + | 1.19618i | 0.545128 | + | 0.838353i | \(0.316481\pi\) |
−0.933789 | + | 0.357823i | \(0.883519\pi\) | |||||||
\(114\) | 0.0373804 | + | 0.115045i | 0.00350100 | + | 0.0107750i | ||||
\(115\) | 10.2126 | − | 7.41990i | 0.952331 | − | 0.691909i | ||||
\(116\) | −4.36040 | + | 3.16802i | −0.404853 | + | 0.294143i | ||||
\(117\) | −4.82953 | − | 14.8638i | −0.446490 | − | 1.37416i | ||||
\(118\) | 1.34214 | − | 4.13068i | 0.123554 | − | 0.380260i | ||||
\(119\) | −0.500357 | − | 0.363530i | −0.0458676 | − | 0.0333248i | ||||
\(120\) | 0.262382 | 0.0239521 | ||||||||
\(121\) | 10.8099 | + | 2.03617i | 0.982718 | + | 0.185107i | ||||
\(122\) | 2.73577 | 0.247685 | ||||||||
\(123\) | 1.04110 | + | 0.756406i | 0.0938731 | + | 0.0682028i | ||||
\(124\) | 1.01028 | − | 3.10932i | 0.0907257 | − | 0.279225i | ||||
\(125\) | 3.54923 | + | 10.9234i | 0.317452 | + | 0.977018i | ||||
\(126\) | 9.63091 | − | 6.99727i | 0.857990 | − | 0.623366i | ||||
\(127\) | 10.6384 | − | 7.72926i | 0.944006 | − | 0.685861i | −0.00537549 | − | 0.999986i | \(-0.501711\pi\) |
0.949382 | + | 0.314125i | \(0.101711\pi\) | |||||||
\(128\) | −0.309017 | − | 0.951057i | −0.0273135 | − | 0.0840623i | ||||
\(129\) | −0.363617 | + | 1.11910i | −0.0320147 | + | 0.0985311i | ||||
\(130\) | −9.18661 | − | 6.67446i | −0.805719 | − | 0.585389i | ||||
\(131\) | 0.0333999 | 0.00291816 | 0.00145908 | − | 0.999999i | \(-0.499536\pi\) | ||||
0.00145908 | + | 0.999999i | \(0.499536\pi\) | |||||||
\(132\) | 0.399460 | + | 0.0372936i | 0.0347685 | + | 0.00324599i | ||||
\(133\) | 3.98760 | 0.345769 | ||||||||
\(134\) | 4.58592 | + | 3.33186i | 0.396163 | + | 0.287829i | ||||
\(135\) | 0.485297 | − | 1.49359i | 0.0417677 | − | 0.128548i | ||||
\(136\) | 0.0479283 | + | 0.147508i | 0.00410982 | + | 0.0126487i | ||||
\(137\) | 1.08909 | − | 0.791271i | 0.0930474 | − | 0.0676029i | −0.540289 | − | 0.841480i | \(-0.681685\pi\) |
0.633336 | + | 0.773877i | \(0.281685\pi\) | |||||||
\(138\) | 0.569542 | − | 0.413797i | 0.0484826 | − | 0.0352247i | ||||
\(139\) | 0.469782 | + | 1.44584i | 0.0398464 | + | 0.122635i | 0.969001 | − | 0.247057i | \(-0.0794634\pi\) |
−0.929155 | + | 0.369691i | \(0.879463\pi\) | |||||||
\(140\) | 2.67280 | − | 8.22604i | 0.225893 | − | 0.695228i | ||||
\(141\) | −0.650757 | − | 0.472802i | −0.0548036 | − | 0.0398172i | ||||
\(142\) | −3.67724 | −0.308587 | ||||||||
\(143\) | −13.0374 | − | 11.4672i | −1.09024 | − | 0.958933i | ||||
\(144\) | −2.98537 | −0.248781 | ||||||||
\(145\) | 9.45800 | + | 6.87164i | 0.785444 | + | 0.570659i | ||||
\(146\) | 1.06087 | − | 3.26503i | 0.0877983 | − | 0.270215i | ||||
\(147\) | 0.332722 | + | 1.02401i | 0.0274425 | + | 0.0844592i | ||||
\(148\) | −5.70259 | + | 4.14317i | −0.468750 | + | 0.340567i | ||||
\(149\) | 12.5485 | − | 9.11700i | 1.02801 | − | 0.746894i | 0.0601016 | − | 0.998192i | \(-0.480858\pi\) |
0.967910 | + | 0.251298i | \(0.0808575\pi\) | |||||||
\(150\) | 0.0110329 | + | 0.0339559i | 0.000900835 | + | 0.00277249i | ||||
\(151\) | −5.37898 | + | 16.5548i | −0.437735 | + | 1.34721i | 0.452523 | + | 0.891753i | \(0.350524\pi\) |
−0.890258 | + | 0.455457i | \(0.849476\pi\) | |||||||
\(152\) | −0.809017 | − | 0.587785i | −0.0656199 | − | 0.0476757i | ||||
\(153\) | 0.463029 | 0.0374336 | ||||||||
\(154\) | 5.23838 | − | 12.1437i | 0.422121 | − | 0.978570i | ||||
\(155\) | −7.09139 | −0.569595 | ||||||||
\(156\) | −0.512323 | − | 0.372225i | −0.0410187 | − | 0.0298018i | ||||
\(157\) | −6.37738 | + | 19.6275i | −0.508970 | + | 1.56645i | 0.285022 | + | 0.958521i | \(0.407999\pi\) |
−0.793992 | + | 0.607928i | \(0.792001\pi\) | |||||||
\(158\) | 0.159015 | + | 0.489398i | 0.0126506 | + | 0.0389344i | ||||
\(159\) | −0.572495 | + | 0.415942i | −0.0454018 | + | 0.0329864i | ||||
\(160\) | −1.75481 | + | 1.27494i | −0.138730 | + | 0.100793i | ||||
\(161\) | −7.17135 | − | 22.0711i | −0.565181 | − | 1.73945i | ||||
\(162\) | −2.74052 | + | 8.43446i | −0.215316 | + | 0.662674i | ||||
\(163\) | 12.7142 | + | 9.23740i | 0.995852 | + | 0.723529i | 0.961195 | − | 0.275870i | \(-0.0889659\pi\) |
0.0346576 | + | 0.999399i | \(0.488966\pi\) | |||||||
\(164\) | −10.6384 | −0.830716 | ||||||||
\(165\) | −0.190816 | − | 0.849045i | −0.0148550 | − | 0.0660981i | ||||
\(166\) | −13.8648 | −1.07612 | ||||||||
\(167\) | 4.41584 | + | 3.20829i | 0.341708 | + | 0.248265i | 0.745382 | − | 0.666638i | \(-0.232267\pi\) |
−0.403674 | + | 0.914903i | \(0.632267\pi\) | |||||||
\(168\) | 0.149058 | − | 0.458754i | 0.0115001 | − | 0.0353936i | ||||
\(169\) | 4.45177 | + | 13.7012i | 0.342444 | + | 1.05393i | ||||
\(170\) | 0.272170 | − | 0.197743i | 0.0208745 | − | 0.0151662i | ||||
\(171\) | −2.41521 | + | 1.75475i | −0.184696 | + | 0.134189i | ||||
\(172\) | −3.00596 | − | 9.25138i | −0.229202 | − | 0.705411i | ||||
\(173\) | −3.25748 | + | 10.0255i | −0.247661 | + | 0.762223i | 0.747526 | + | 0.664233i | \(0.231242\pi\) |
−0.995187 | + | 0.0979908i | \(0.968758\pi\) | |||||||
\(174\) | 0.527458 | + | 0.383221i | 0.0399865 | + | 0.0290519i | ||||
\(175\) | 1.17695 | 0.0889692 | ||||||||
\(176\) | −2.85280 | + | 1.69160i | −0.215038 | + | 0.127509i | ||||
\(177\) | −0.525384 | −0.0394903 | ||||||||
\(178\) | −5.81177 | − | 4.22250i | −0.435611 | − | 0.316490i | ||||
\(179\) | 2.44757 | − | 7.53284i | 0.182940 | − | 0.563031i | −0.816967 | − | 0.576685i | \(-0.804346\pi\) |
0.999907 | + | 0.0136534i | \(0.00434616\pi\) | |||||||
\(180\) | 2.00103 | + | 6.15853i | 0.149148 | + | 0.459030i | ||||
\(181\) | 4.65889 | − | 3.38488i | 0.346293 | − | 0.251597i | −0.401019 | − | 0.916070i | \(-0.631344\pi\) |
0.747312 | + | 0.664473i | \(0.231344\pi\) | |||||||
\(182\) | −16.8886 | + | 12.2703i | −1.25187 | + | 0.909535i | ||||
\(183\) | −0.102264 | − | 0.314737i | −0.00755959 | − | 0.0232660i | ||||
\(184\) | −1.79841 | + | 5.53494i | −0.132581 | + | 0.408041i | ||||
\(185\) | 12.3693 | + | 8.98682i | 0.909408 | + | 0.660724i | ||||
\(186\) | −0.395476 | −0.0289977 | ||||||||
\(187\) | 0.442468 | − | 0.262367i | 0.0323564 | − | 0.0191861i | ||||
\(188\) | 6.64966 | 0.484976 | ||||||||
\(189\) | −2.33573 | − | 1.69700i | −0.169899 | − | 0.123439i | ||||
\(190\) | −0.670278 | + | 2.06290i | −0.0486271 | + | 0.149659i | ||||
\(191\) | −5.03467 | − | 15.4951i | −0.364296 | − | 1.12119i | −0.950421 | − | 0.310967i | \(-0.899347\pi\) |
0.586125 | − | 0.810221i | \(-0.300653\pi\) | |||||||
\(192\) | −0.0978632 | + | 0.0711018i | −0.00706267 | + | 0.00513133i | ||||
\(193\) | 20.7531 | − | 15.0780i | 1.49384 | − | 1.08534i | 0.521089 | − | 0.853502i | \(-0.325526\pi\) |
0.972754 | − | 0.231838i | \(-0.0744740\pi\) | |||||||
\(194\) | −3.74774 | − | 11.5344i | −0.269072 | − | 0.828119i | ||||
\(195\) | −0.424465 | + | 1.30637i | −0.0303965 | + | 0.0935509i | ||||
\(196\) | −7.20104 | − | 5.23186i | −0.514360 | − | 0.373705i | ||||
\(197\) | 11.2089 | 0.798603 | 0.399302 | − | 0.916820i | \(-0.369253\pi\) | ||||
0.399302 | + | 0.916820i | \(0.369253\pi\) | |||||||
\(198\) | 2.17110 | + | 9.66038i | 0.154293 | + | 0.686533i | ||||
\(199\) | 15.4109 | 1.09245 | 0.546226 | − | 0.837638i | \(-0.316064\pi\) | ||||
0.546226 | + | 0.837638i | \(0.316064\pi\) | |||||||
\(200\) | −0.238784 | − | 0.173486i | −0.0168846 | − | 0.0122673i | ||||
\(201\) | 0.211891 | − | 0.652133i | 0.0149456 | − | 0.0459979i | ||||
\(202\) | 0.785830 | + | 2.41854i | 0.0552908 | + | 0.170168i | ||||
\(203\) | 17.3876 | − | 12.6328i | 1.22037 | − | 0.886649i | ||||
\(204\) | 0.0151785 | − | 0.0110278i | 0.00106271 | − | 0.000772103i | ||||
\(205\) | 7.13066 | + | 21.9459i | 0.498027 | + | 1.53277i | ||||
\(206\) | 1.05045 | − | 3.23294i | 0.0731881 | − | 0.225250i | ||||
\(207\) | 14.0560 | + | 10.2123i | 0.976960 | + | 0.709803i | ||||
\(208\) | 5.23510 | 0.362989 | ||||||||
\(209\) | −1.31367 | + | 3.04537i | −0.0908682 | + | 0.210653i | ||||
\(210\) | −1.04628 | −0.0721999 | ||||||||
\(211\) | −2.18132 | − | 1.58482i | −0.150168 | − | 0.109104i | 0.510164 | − | 0.860077i | \(-0.329585\pi\) |
−0.660332 | + | 0.750973i | \(0.729585\pi\) | |||||||
\(212\) | 1.80774 | − | 5.56364i | 0.124156 | − | 0.382112i | ||||
\(213\) | 0.137457 | + | 0.423048i | 0.00941838 | + | 0.0289868i | ||||
\(214\) | 9.50536 | − | 6.90605i | 0.649773 | − | 0.472088i | ||||
\(215\) | −17.0699 | + | 12.4020i | −1.16416 | + | 0.845809i | ||||
\(216\) | 0.223735 | + | 0.688587i | 0.0152233 | + | 0.0468524i | ||||
\(217\) | −4.02859 | + | 12.3987i | −0.273479 | + | 0.841680i | ||||
\(218\) | −5.47154 | − | 3.97531i | −0.370580 | − | 0.269242i | ||||
\(219\) | −0.415281 | −0.0280621 | ||||||||
\(220\) | 5.40179 | + | 4.75121i | 0.364188 | + | 0.320327i | ||||
\(221\) | −0.811960 | −0.0546184 | ||||||||
\(222\) | 0.689817 | + | 0.501181i | 0.0462975 | + | 0.0336371i | ||||
\(223\) | −7.12392 | + | 21.9252i | −0.477053 | + | 1.46822i | 0.366115 | + | 0.930570i | \(0.380688\pi\) |
−0.843168 | + | 0.537650i | \(0.819312\pi\) | |||||||
\(224\) | 1.23224 | + | 3.79244i | 0.0823323 | + | 0.253393i | ||||
\(225\) | −0.712857 | + | 0.517921i | −0.0475238 | + | 0.0345281i | ||||
\(226\) | −10.8165 | + | 7.85863i | −0.719501 | + | 0.522748i | ||||
\(227\) | −4.42509 | − | 13.6190i | −0.293703 | − | 0.903926i | −0.983654 | − | 0.180069i | \(-0.942368\pi\) |
0.689951 | − | 0.723856i | \(-0.257632\pi\) | |||||||
\(228\) | −0.0373804 | + | 0.115045i | −0.00247558 | + | 0.00761904i | ||||
\(229\) | −13.3961 | − | 9.73286i | −0.885242 | − | 0.643166i | 0.0493914 | − | 0.998780i | \(-0.484272\pi\) |
−0.934633 | + | 0.355614i | \(0.884272\pi\) | |||||||
\(230\) | 12.6235 | 0.832368 | ||||||||
\(231\) | −1.59289 | − | 0.148712i | −0.104804 | − | 0.00978454i | ||||
\(232\) | −5.38975 | −0.353855 | ||||||||
\(233\) | 15.9575 | + | 11.5938i | 1.04541 | + | 0.759537i | 0.971335 | − | 0.237715i | \(-0.0763985\pi\) |
0.0740785 | + | 0.997252i | \(0.476398\pi\) | |||||||
\(234\) | 4.82953 | − | 14.8638i | 0.315716 | − | 0.971675i | ||||
\(235\) | −4.45712 | − | 13.7176i | −0.290751 | − | 0.894838i | ||||
\(236\) | 3.51377 | − | 2.55290i | 0.228727 | − | 0.166180i | ||||
\(237\) | 0.0503588 | − | 0.0365878i | 0.00327115 | − | 0.00237663i | ||||
\(238\) | −0.191119 | − | 0.588204i | −0.0123884 | − | 0.0381276i | ||||
\(239\) | 8.14593 | − | 25.0706i | 0.526916 | − | 1.62168i | −0.233578 | − | 0.972338i | \(-0.575044\pi\) |
0.760495 | − | 0.649344i | \(-0.224956\pi\) | |||||||
\(240\) | 0.212272 | + | 0.154224i | 0.0137021 | + | 0.00995514i | ||||
\(241\) | 13.0793 | 0.842514 | 0.421257 | − | 0.906941i | \(-0.361589\pi\) | ||||
0.421257 | + | 0.906941i | \(0.361589\pi\) | |||||||
\(242\) | 7.54856 | + | 8.00120i | 0.485240 | + | 0.514337i | ||||
\(243\) | 3.24485 | 0.208158 | ||||||||
\(244\) | 2.21329 | + | 1.60805i | 0.141691 | + | 0.102945i | ||||
\(245\) | −5.96613 | + | 18.3619i | −0.381162 | + | 1.17310i | ||||
\(246\) | 0.397666 | + | 1.22389i | 0.0253543 | + | 0.0780324i | ||||
\(247\) | 4.23528 | − | 3.07711i | 0.269485 | − | 0.195792i | ||||
\(248\) | 2.64494 | − | 1.92166i | 0.167954 | − | 0.122026i | ||||
\(249\) | 0.518273 | + | 1.59508i | 0.0328442 | + | 0.101084i | ||||
\(250\) | −3.54923 | + | 10.9234i | −0.224473 | + | 0.690856i | ||||
\(251\) | −23.2026 | − | 16.8577i | −1.46453 | − | 1.06405i | −0.982153 | − | 0.188086i | \(-0.939772\pi\) |
−0.482382 | − | 0.875961i | \(-0.660228\pi\) | |||||||
\(252\) | 11.9045 | 0.749910 | ||||||||
\(253\) | 19.2185 | + | 1.79424i | 1.20825 | + | 0.112803i | ||||
\(254\) | 13.1498 | 0.825092 | ||||||||
\(255\) | −0.0329232 | − | 0.0239201i | −0.00206173 | − | 0.00149794i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −2.26128 | − | 6.95950i | −0.141055 | − | 0.434121i | 0.855428 | − | 0.517922i | \(-0.173294\pi\) |
−0.996483 | + | 0.0838004i | \(0.973294\pi\) | |||||||
\(258\) | −0.951962 | + | 0.691641i | −0.0592665 | + | 0.0430597i | ||||
\(259\) | 22.7397 | − | 16.5213i | 1.41297 | − | 1.02659i | ||||
\(260\) | −3.50897 | − | 10.7995i | −0.217617 | − | 0.669757i | ||||
\(261\) | −4.97221 | + | 15.3029i | −0.307772 | + | 0.947224i | ||||
\(262\) | 0.0270211 | + | 0.0196320i | 0.00166937 | + | 0.00121287i | ||||
\(263\) | −19.5212 | −1.20373 | −0.601865 | − | 0.798598i | \(-0.705576\pi\) | ||||
−0.601865 | + | 0.798598i | \(0.705576\pi\) | |||||||
\(264\) | 0.301249 | + | 0.264968i | 0.0185406 | + | 0.0163077i | ||||
\(265\) | −12.6889 | −0.779475 | ||||||||
\(266\) | 3.22604 | + | 2.34385i | 0.197801 | + | 0.143711i | ||||
\(267\) | −0.268531 | + | 0.826454i | −0.0164338 | + | 0.0505782i | ||||
\(268\) | 1.75166 | + | 5.39107i | 0.107000 | + | 0.329312i | ||||
\(269\) | 5.17012 | − | 3.75631i | 0.315227 | − | 0.229026i | −0.418909 | − | 0.908028i | \(-0.637587\pi\) |
0.734136 | + | 0.679002i | \(0.237587\pi\) | |||||||
\(270\) | 1.27052 | − | 0.923090i | 0.0773216 | − | 0.0561774i | ||||
\(271\) | 2.88667 | + | 8.88426i | 0.175353 | + | 0.539681i | 0.999649 | − | 0.0264777i | \(-0.00842909\pi\) |
−0.824297 | + | 0.566158i | \(0.808429\pi\) | |||||||
\(272\) | −0.0479283 | + | 0.147508i | −0.00290608 | + | 0.00894400i | ||||
\(273\) | 2.04294 | + | 1.48428i | 0.123644 | + | 0.0898329i | ||||
\(274\) | 1.34619 | 0.0813264 | ||||||||
\(275\) | −0.387732 | + | 0.898850i | −0.0233811 | + | 0.0542027i | ||||
\(276\) | 0.703993 | 0.0423754 | ||||||||
\(277\) | −19.9475 | − | 14.4927i | −1.19853 | − | 0.870782i | −0.204390 | − | 0.978890i | \(-0.565521\pi\) |
−0.994139 | + | 0.108107i | \(0.965521\pi\) | |||||||
\(278\) | −0.469782 | + | 1.44584i | −0.0281757 | + | 0.0867158i | ||||
\(279\) | −3.01605 | − | 9.28246i | −0.180566 | − | 0.555726i | ||||
\(280\) | 6.99749 | − | 5.08397i | 0.418180 | − | 0.303826i | ||||
\(281\) | 0.739203 | − | 0.537063i | 0.0440972 | − | 0.0320385i | −0.565518 | − | 0.824736i | \(-0.691324\pi\) |
0.609616 | + | 0.792697i | \(0.291324\pi\) | |||||||
\(282\) | −0.248567 | − | 0.765010i | −0.0148019 | − | 0.0455557i | ||||
\(283\) | −7.64752 | + | 23.5366i | −0.454598 | + | 1.39911i | 0.417009 | + | 0.908902i | \(0.363078\pi\) |
−0.871607 | + | 0.490206i | \(0.836922\pi\) | |||||||
\(284\) | −2.97495 | − | 2.16143i | −0.176531 | − | 0.128257i | ||||
\(285\) | 0.262382 | 0.0155422 | ||||||||
\(286\) | −3.80720 | − | 16.9403i | −0.225125 | − | 1.00170i | ||||
\(287\) | 42.4216 | 2.50407 | ||||||||
\(288\) | −2.41521 | − | 1.75475i | −0.142318 | − | 0.103400i | ||||
\(289\) | −5.24586 | + | 16.1451i | −0.308580 | + | 0.949711i | ||||
\(290\) | 3.61264 | + | 11.1185i | 0.212141 | + | 0.652904i | ||||
\(291\) | −1.18688 | + | 0.862319i | −0.0695761 | + | 0.0505500i | ||||
\(292\) | 2.77740 | − | 2.01790i | 0.162535 | − | 0.118088i | ||||
\(293\) | 4.40611 | + | 13.5606i | 0.257408 | + | 0.792219i | 0.993346 | + | 0.115170i | \(0.0367414\pi\) |
−0.735938 | + | 0.677049i | \(0.763259\pi\) | |||||||
\(294\) | −0.332722 | + | 1.02401i | −0.0194047 | + | 0.0597217i | ||||
\(295\) | −7.62159 | − | 5.53741i | −0.443746 | − | 0.322401i | ||||
\(296\) | −7.04879 | −0.409702 | ||||||||
\(297\) | 2.06549 | − | 1.22476i | 0.119852 | − | 0.0710678i | ||||
\(298\) | 15.5108 | 0.898515 | ||||||||
\(299\) | −24.6484 | − | 17.9081i | −1.42545 | − | 1.03565i | ||||
\(300\) | −0.0110329 | + | 0.0339559i | −0.000636987 | + | 0.00196044i | ||||
\(301\) | 11.9866 | + | 36.8908i | 0.690894 | + | 2.12635i | ||||
\(302\) | −14.0824 | + | 10.2314i | −0.810348 | + | 0.588752i | ||||
\(303\) | 0.248866 | − | 0.180812i | 0.0142970 | − | 0.0103874i | ||||
\(304\) | −0.309017 | − | 0.951057i | −0.0177233 | − | 0.0545468i | ||||
\(305\) | 1.83373 | − | 5.64363i | 0.104999 | − | 0.323154i | ||||
\(306\) | 0.374598 | + | 0.272161i | 0.0214143 | + | 0.0155584i | ||||
\(307\) | 15.6653 | 0.894068 | 0.447034 | − | 0.894517i | \(-0.352480\pi\) | ||||
0.447034 | + | 0.894517i | \(0.352480\pi\) | |||||||
\(308\) | 11.3758 | − | 6.74544i | 0.648199 | − | 0.384357i | ||||
\(309\) | −0.411200 | −0.0233924 | ||||||||
\(310\) | −5.73706 | − | 4.16822i | −0.325843 | − | 0.236739i | ||||
\(311\) | 4.09870 | − | 12.6145i | 0.232416 | − | 0.715303i | −0.765038 | − | 0.643985i | \(-0.777280\pi\) |
0.997454 | − | 0.0713172i | \(-0.0227203\pi\) | |||||||
\(312\) | −0.195690 | − | 0.602272i | −0.0110788 | − | 0.0340969i | ||||
\(313\) | 15.5263 | − | 11.2805i | 0.877599 | − | 0.637613i | −0.0550159 | − | 0.998485i | \(-0.517521\pi\) |
0.932615 | + | 0.360872i | \(0.117521\pi\) | |||||||
\(314\) | −16.6962 | + | 12.1305i | −0.942220 | + | 0.684563i | ||||
\(315\) | −7.97930 | − | 24.5578i | −0.449583 | − | 1.38367i | ||||
\(316\) | −0.159015 | + | 0.489398i | −0.00894529 | + | 0.0275308i | ||||
\(317\) | −19.5748 | − | 14.2219i | −1.09943 | − | 0.798782i | −0.118463 | − | 0.992958i | \(-0.537797\pi\) |
−0.980967 | + | 0.194176i | \(0.937797\pi\) | |||||||
\(318\) | −0.707643 | −0.0396826 | ||||||||
\(319\) | 3.91968 | + | 17.4408i | 0.219460 | + | 0.976495i | ||||
\(320\) | −2.16907 | −0.121254 | ||||||||
\(321\) | −1.14982 | − | 0.835393i | −0.0641767 | − | 0.0466271i | ||||
\(322\) | 7.17135 | − | 22.0711i | 0.399644 | − | 1.22998i | ||||
\(323\) | 0.0479283 | + | 0.147508i | 0.00266680 | + | 0.00820758i | ||||
\(324\) | −7.17478 | + | 5.21279i | −0.398599 | + | 0.289599i | ||||
\(325\) | 1.25006 | − | 0.908219i | 0.0693406 | − | 0.0503789i | ||||
\(326\) | 4.85639 | + | 14.9464i | 0.268971 | + | 0.827806i | ||||
\(327\) | −0.252811 | + | 0.778073i | −0.0139805 | + | 0.0430275i | ||||
\(328\) | −8.60661 | − | 6.25307i | −0.475221 | − | 0.345268i | ||||
\(329\) | −26.5162 | −1.46189 | ||||||||
\(330\) | 0.344683 | − | 0.799051i | 0.0189742 | − | 0.0439863i | ||||
\(331\) | 13.9663 | 0.767656 | 0.383828 | − | 0.923405i | \(-0.374606\pi\) | ||||
0.383828 | + | 0.923405i | \(0.374606\pi\) | |||||||
\(332\) | −11.2169 | − | 8.14955i | −0.615607 | − | 0.447265i | ||||
\(333\) | −6.50271 | + | 20.0133i | −0.356346 | + | 1.09672i | ||||
\(334\) | 1.68670 | + | 5.19113i | 0.0922921 | + | 0.284046i | ||||
\(335\) | 9.94716 | − | 7.22703i | 0.543471 | − | 0.394855i | ||||
\(336\) | 0.390239 | − | 0.283526i | 0.0212893 | − | 0.0154676i | ||||
\(337\) | −10.5470 | − | 32.4604i | −0.574533 | − | 1.76823i | −0.637763 | − | 0.770233i | \(-0.720140\pi\) |
0.0632291 | − | 0.997999i | \(-0.479860\pi\) | |||||||
\(338\) | −4.45177 | + | 13.7012i | −0.242145 | + | 0.745244i | ||||
\(339\) | 1.30842 | + | 0.950623i | 0.0710636 | + | 0.0516307i | ||||
\(340\) | 0.336421 | 0.0182450 | ||||||||
\(341\) | −8.14186 | − | 7.16128i | −0.440906 | − | 0.387805i | ||||
\(342\) | −2.98537 | −0.161430 | ||||||||
\(343\) | 6.13263 | + | 4.45561i | 0.331131 | + | 0.240581i | ||||
\(344\) | 3.00596 | − | 9.25138i | 0.162070 | − | 0.498801i | ||||
\(345\) | −0.471871 | − | 1.45227i | −0.0254047 | − | 0.0781876i | ||||
\(346\) | −8.52819 | + | 6.19609i | −0.458478 | + | 0.333104i | ||||
\(347\) | −12.3287 | + | 8.95730i | −0.661837 | + | 0.480853i | −0.867283 | − | 0.497816i | \(-0.834136\pi\) |
0.205446 | + | 0.978669i | \(0.434136\pi\) | |||||||
\(348\) | 0.201471 | + | 0.620065i | 0.0108000 | + | 0.0332390i | ||||
\(349\) | 10.5382 | − | 32.4333i | 0.564099 | − | 1.73612i | −0.106516 | − | 0.994311i | \(-0.533969\pi\) |
0.670614 | − | 0.741806i | \(-0.266031\pi\) | |||||||
\(350\) | 0.952174 | + | 0.691795i | 0.0508959 | + | 0.0369780i | ||||
\(351\) | −3.79033 | −0.202313 | ||||||||
\(352\) | −3.30226 | − | 0.308300i | −0.176011 | − | 0.0164324i | ||||
\(353\) | 28.6062 | 1.52255 | 0.761277 | − | 0.648427i | \(-0.224573\pi\) | ||||
0.761277 | + | 0.648427i | \(0.224573\pi\) | |||||||
\(354\) | −0.425045 | − | 0.308813i | −0.0225909 | − | 0.0164132i | ||||
\(355\) | −2.46477 | + | 7.58579i | −0.130817 | + | 0.402612i | ||||
\(356\) | −2.21990 | − | 6.83214i | −0.117654 | − | 0.362103i | ||||
\(357\) | −0.0605259 | + | 0.0439746i | −0.00320337 | + | 0.00232738i | ||||
\(358\) | 6.40782 | − | 4.65555i | 0.338664 | − | 0.246054i | ||||
\(359\) | 2.18724 | + | 6.73162i | 0.115438 | + | 0.355281i | 0.992038 | − | 0.125938i | \(-0.0401940\pi\) |
−0.876600 | + | 0.481219i | \(0.840194\pi\) | |||||||
\(360\) | −2.00103 | + | 6.15853i | −0.105463 | + | 0.324583i | ||||
\(361\) | −0.809017 | − | 0.587785i | −0.0425798 | − | 0.0309361i | ||||
\(362\) | 5.75871 | 0.302671 | ||||||||
\(363\) | 0.638330 | − | 1.16751i | 0.0335036 | − | 0.0612785i | ||||
\(364\) | −20.8755 | −1.09417 | ||||||||
\(365\) | −6.02436 | − | 4.37695i | −0.315329 | − | 0.229100i | ||||
\(366\) | 0.102264 | − | 0.314737i | 0.00534544 | − | 0.0164516i | ||||
\(367\) | −9.43568 | − | 29.0400i | −0.492538 | − | 1.51588i | −0.820758 | − | 0.571276i | \(-0.806449\pi\) |
0.328219 | − | 0.944602i | \(-0.393551\pi\) | |||||||
\(368\) | −4.70830 | + | 3.42078i | −0.245437 | + | 0.178321i | ||||
\(369\) | −25.6939 | + | 18.6677i | −1.33757 | + | 0.971802i | ||||
\(370\) | 4.72465 | + | 14.5410i | 0.245623 | + | 0.755949i | ||||
\(371\) | −7.20853 | + | 22.1856i | −0.374248 | + | 1.15182i | ||||
\(372\) | −0.319947 | − | 0.232455i | −0.0165885 | − | 0.0120522i | ||||
\(373\) | −33.0808 | −1.71286 | −0.856430 | − | 0.516264i | \(-0.827322\pi\) | ||||
−0.856430 | + | 0.516264i | \(0.827322\pi\) | |||||||
\(374\) | 0.512179 | + | 0.0478171i | 0.0264842 | + | 0.00247256i | ||||
\(375\) | 1.38935 | 0.0717459 | ||||||||
\(376\) | 5.37969 | + | 3.90857i | 0.277436 | + | 0.201569i | ||||
\(377\) | 8.71919 | − | 26.8349i | 0.449061 | − | 1.38207i | ||||
\(378\) | −0.892168 | − | 2.74581i | −0.0458882 | − | 0.141229i | ||||
\(379\) | −7.32077 | + | 5.31885i | −0.376043 | + | 0.273211i | −0.759712 | − | 0.650259i | \(-0.774660\pi\) |
0.383669 | + | 0.923471i | \(0.374660\pi\) | |||||||
\(380\) | −1.75481 | + | 1.27494i | −0.0900199 | + | 0.0654033i | ||||
\(381\) | −0.491545 | − | 1.51282i | −0.0251826 | − | 0.0775041i | ||||
\(382\) | 5.03467 | − | 15.4951i | 0.257596 | − | 0.792800i | ||||
\(383\) | 20.1604 | + | 14.6474i | 1.03015 | + | 0.748445i | 0.968338 | − | 0.249643i | \(-0.0803131\pi\) |
0.0618087 | + | 0.998088i | \(0.480313\pi\) | |||||||
\(384\) | −0.120966 | −0.00617300 | ||||||||
\(385\) | −21.5402 | − | 18.9460i | −1.09779 | − | 0.965575i | ||||
\(386\) | 25.6523 | 1.30567 | ||||||||
\(387\) | −23.4939 | − | 17.0693i | −1.19426 | − | 0.867683i | ||||
\(388\) | 3.74774 | − | 11.5344i | 0.190263 | − | 0.585569i | ||||
\(389\) | −8.64121 | − | 26.5949i | −0.438127 | − | 1.34842i | −0.889848 | − | 0.456257i | \(-0.849190\pi\) |
0.451721 | − | 0.892159i | \(-0.350810\pi\) | |||||||
\(390\) | −1.11126 | + | 0.807380i | −0.0562710 | + | 0.0408833i | ||||
\(391\) | 0.730254 | − | 0.530561i | 0.0369306 | − | 0.0268316i | ||||
\(392\) | −2.75055 | − | 8.46533i | −0.138924 | − | 0.427564i | ||||
\(393\) | 0.00124850 | − | 0.00384250i | 6.29786e−5 | − | 0.000193828i | ||||
\(394\) | 9.06821 | + | 6.58844i | 0.456850 | + | 0.331921i | ||||
\(395\) | 1.11617 | 0.0561604 | ||||||||
\(396\) | −3.92178 | + | 9.09155i | −0.197077 | + | 0.456868i | ||||
\(397\) | −7.15719 | −0.359209 | −0.179605 | − | 0.983739i | \(-0.557482\pi\) | ||||
−0.179605 | + | 0.983739i | \(0.557482\pi\) | |||||||
\(398\) | 12.4677 | + | 9.05831i | 0.624949 | + | 0.454052i | ||||
\(399\) | 0.149058 | − | 0.458754i | 0.00746224 | − | 0.0229664i | ||||
\(400\) | −0.0912072 | − | 0.280707i | −0.00456036 | − | 0.0140354i | ||||
\(401\) | −16.3447 | + | 11.8751i | −0.816216 | + | 0.593016i | −0.915626 | − | 0.402031i | \(-0.868305\pi\) |
0.0994098 | + | 0.995047i | \(0.468305\pi\) | |||||||
\(402\) | 0.554738 | − | 0.403041i | 0.0276678 | − | 0.0201018i | ||||
\(403\) | 5.28891 | + | 16.2776i | 0.263459 | + | 0.810844i | ||||
\(404\) | −0.785830 | + | 2.41854i | −0.0390965 | + | 0.120327i | ||||
\(405\) | 15.5626 | + | 11.3069i | 0.773311 | + | 0.561843i | ||||
\(406\) | 21.4922 | 1.06664 | ||||||||
\(407\) | 5.12620 | + | 22.8092i | 0.254096 | + | 1.13061i | ||||
\(408\) | 0.0187617 | 0.000928841 | ||||||||
\(409\) | 29.8258 | + | 21.6697i | 1.47479 | + | 1.07150i | 0.979189 | + | 0.202951i | \(0.0650531\pi\) |
0.495604 | + | 0.868549i | \(0.334947\pi\) | |||||||
\(410\) | −7.13066 | + | 21.9459i | −0.352158 | + | 1.08383i | ||||
\(411\) | −0.0503212 | − | 0.154873i | −0.00248216 | − | 0.00763930i | ||||
\(412\) | 2.75010 | − | 1.99807i | 0.135488 | − | 0.0984377i | ||||
\(413\) | −14.0115 | + | 10.1800i | −0.689461 | + | 0.500923i | ||||
\(414\) | 5.36892 | + | 16.5238i | 0.263868 | + | 0.812102i | ||||
\(415\) | −9.29330 | + | 28.6018i | −0.456190 | + | 1.40401i | ||||
\(416\) | 4.23528 | + | 3.07711i | 0.207652 | + | 0.150868i | ||||
\(417\) | 0.183898 | 0.00900550 | ||||||||
\(418\) | −2.85280 | + | 1.69160i | −0.139535 | + | 0.0827390i | ||||
\(419\) | −4.93748 | −0.241212 | −0.120606 | − | 0.992700i | \(-0.538484\pi\) | ||||
−0.120606 | + | 0.992700i | \(0.538484\pi\) | |||||||
\(420\) | −0.846455 | − | 0.614986i | −0.0413028 | − | 0.0300082i | ||||
\(421\) | −2.02715 | + | 6.23893i | −0.0987972 | + | 0.304067i | −0.988225 | − | 0.153010i | \(-0.951103\pi\) |
0.889427 | + | 0.457076i | \(0.151103\pi\) | |||||||
\(422\) | −0.833190 | − | 2.56430i | −0.0405591 | − | 0.124828i | ||||
\(423\) | 16.0603 | − | 11.6685i | 0.780881 | − | 0.567343i | ||||
\(424\) | 4.73271 | − | 3.43852i | 0.229841 | − | 0.166989i | ||||
\(425\) | 0.0141462 | + | 0.0435375i | 0.000686191 | + | 0.00211188i | ||||
\(426\) | −0.137457 | + | 0.423048i | −0.00665980 | + | 0.0204968i | ||||
\(427\) | −8.82570 | − | 6.41225i | −0.427106 | − | 0.310310i | ||||
\(428\) | 11.7493 | 0.567922 | ||||||||
\(429\) | −1.80658 | + | 1.07124i | −0.0872227 | + | 0.0517197i | ||||
\(430\) | −21.0995 | −1.01751 | ||||||||
\(431\) | −7.37198 | − | 5.35605i | −0.355096 | − | 0.257992i | 0.395908 | − | 0.918290i | \(-0.370430\pi\) |
−0.751004 | + | 0.660298i | \(0.770430\pi\) | |||||||
\(432\) | −0.223735 | + | 0.688587i | −0.0107645 | + | 0.0331297i | ||||
\(433\) | −9.23470 | − | 28.4215i | −0.443791 | − | 1.36585i | −0.883804 | − | 0.467858i | \(-0.845026\pi\) |
0.440012 | − | 0.897992i | \(-0.354974\pi\) | |||||||
\(434\) | −10.5470 | + | 7.66284i | −0.506272 | + | 0.367828i | ||||
\(435\) | 1.14409 | − | 0.831232i | 0.0548550 | − | 0.0398545i | ||||
\(436\) | −2.08994 | − | 6.43218i | −0.100090 | − | 0.308046i | ||||
\(437\) | −1.79841 | + | 5.53494i | −0.0860297 | + | 0.264772i | ||||
\(438\) | −0.335969 | − | 0.244096i | −0.0160532 | − | 0.0116634i | ||||
\(439\) | −40.6715 | −1.94114 | −0.970572 | − | 0.240812i | \(-0.922586\pi\) | ||||
−0.970572 | + | 0.240812i | \(0.922586\pi\) | |||||||
\(440\) | 1.57744 | + | 7.01890i | 0.0752017 | + | 0.334613i | ||||
\(441\) | −26.5727 | −1.26537 | ||||||||
\(442\) | −0.656890 | − | 0.477258i | −0.0312451 | − | 0.0227009i | ||||
\(443\) | −12.1875 | + | 37.5092i | −0.579045 | + | 1.78212i | 0.0429289 | + | 0.999078i | \(0.486331\pi\) |
−0.621974 | + | 0.783038i | \(0.713669\pi\) | |||||||
\(444\) | 0.263487 | + | 0.810928i | 0.0125045 | + | 0.0384849i | ||||
\(445\) | −12.6061 | + | 9.15888i | −0.597587 | + | 0.434172i | ||||
\(446\) | −18.6507 | + | 13.5505i | −0.883135 | + | 0.641635i | ||||
\(447\) | −0.579799 | − | 1.78444i | −0.0274235 | − | 0.0844010i | ||||
\(448\) | −1.23224 | + | 3.79244i | −0.0582177 | + | 0.179176i | ||||
\(449\) | 7.10876 | + | 5.16482i | 0.335483 | + | 0.243743i | 0.742754 | − | 0.669565i | \(-0.233519\pi\) |
−0.407271 | + | 0.913308i | \(0.633519\pi\) | |||||||
\(450\) | −0.881140 | −0.0415373 | ||||||||
\(451\) | −13.9753 | + | 32.3977i | −0.658069 | + | 1.52555i | ||||
\(452\) | −13.3699 | −0.628867 | ||||||||
\(453\) | 1.70348 | + | 1.23765i | 0.0800364 | + | 0.0581499i | ||||
\(454\) | 4.42509 | − | 13.6190i | 0.207680 | − | 0.639172i | ||||
\(455\) | 13.9924 | + | 43.0641i | 0.655973 | + | 2.01888i | ||||
\(456\) | −0.0978632 | + | 0.0711018i | −0.00458286 | + | 0.00332964i | ||||
\(457\) | 10.9188 | − | 7.93301i | 0.510762 | − | 0.371090i | −0.302351 | − | 0.953197i | \(-0.597771\pi\) |
0.813113 | + | 0.582106i | \(0.197771\pi\) | |||||||
\(458\) | −5.11687 | − | 15.7481i | −0.239096 | − | 0.735861i | ||||
\(459\) | 0.0347012 | − | 0.106799i | 0.00161971 | − | 0.00498497i | ||||
\(460\) | 10.2126 | + | 7.41990i | 0.476166 | + | 0.345955i | ||||
\(461\) | −13.3209 | −0.620418 | −0.310209 | − | 0.950668i | \(-0.600399\pi\) | ||||
−0.310209 | + | 0.950668i | \(0.600399\pi\) | |||||||
\(462\) | −1.20126 | − | 1.05659i | −0.0558878 | − | 0.0491569i | ||||
\(463\) | 8.27643 | 0.384638 | 0.192319 | − | 0.981332i | \(-0.438399\pi\) | ||||
0.192319 | + | 0.981332i | \(0.438399\pi\) | |||||||
\(464\) | −4.36040 | − | 3.16802i | −0.202427 | − | 0.147072i | ||||
\(465\) | −0.265079 | + | 0.815830i | −0.0122928 | + | 0.0378332i | ||||
\(466\) | 6.09524 | + | 18.7592i | 0.282356 | + | 0.869004i | ||||
\(467\) | −14.8511 | + | 10.7899i | −0.687226 | + | 0.499299i | −0.875747 | − | 0.482770i | \(-0.839631\pi\) |
0.188521 | + | 0.982069i | \(0.439631\pi\) | |||||||
\(468\) | 12.6439 | − | 9.18631i | 0.584463 | − | 0.424637i | ||||
\(469\) | −6.98494 | − | 21.4974i | −0.322535 | − | 0.992660i | ||||
\(470\) | 4.45712 | − | 13.7176i | 0.205592 | − | 0.632746i | ||||
\(471\) | 2.01966 | + | 1.46737i | 0.0930612 | + | 0.0676129i | ||||
\(472\) | 4.34325 | 0.199915 | ||||||||
\(473\) | −32.1227 | − | 2.99898i | −1.47700 | − | 0.137893i | ||||
\(474\) | 0.0622469 | 0.00285909 | ||||||||
\(475\) | −0.238784 | − | 0.173486i | −0.0109561 | − | 0.00796011i | ||||
\(476\) | 0.191119 | − | 0.588204i | 0.00875993 | − | 0.0269603i | ||||
\(477\) | −5.39675 | − | 16.6095i | −0.247100 | − | 0.760497i | ||||
\(478\) | 21.3263 | − | 15.4945i | 0.975443 | − | 0.708701i | ||||
\(479\) | 15.8552 | − | 11.5195i | 0.724444 | − | 0.526340i | −0.163357 | − | 0.986567i | \(-0.552232\pi\) |
0.887801 | + | 0.460227i | \(0.152232\pi\) | |||||||
\(480\) | 0.0810806 | + | 0.249540i | 0.00370080 | + | 0.0113899i | ||||
\(481\) | 11.4031 | − | 35.0950i | 0.519935 | − | 1.60020i | ||||
\(482\) | 10.5814 | + | 7.68784i | 0.481969 | + | 0.350171i | ||||
\(483\) | −2.80724 | −0.127734 | ||||||||
\(484\) | 1.40393 | + | 10.9100i | 0.0638149 | + | 0.495911i | ||||
\(485\) | −26.3063 | −1.19451 | ||||||||
\(486\) | 2.62514 | + | 1.90728i | 0.119079 | + | 0.0865159i | ||||
\(487\) | 12.1253 | − | 37.3178i | 0.549449 | − | 1.69103i | −0.160721 | − | 0.987000i | \(-0.551382\pi\) |
0.710170 | − | 0.704030i | \(-0.248618\pi\) | |||||||
\(488\) | 0.845400 | + | 2.60187i | 0.0382694 | + | 0.117781i | ||||
\(489\) | 1.53798 | − | 1.11741i | 0.0695498 | − | 0.0505309i | ||||
\(490\) | −15.6195 | + | 11.3483i | −0.705619 | + | 0.512662i | ||||
\(491\) | −5.75554 | − | 17.7137i | −0.259744 | − | 0.799410i | −0.992858 | − | 0.119304i | \(-0.961934\pi\) |
0.733114 | − | 0.680106i | \(-0.238066\pi\) | |||||||
\(492\) | −0.397666 | + | 1.22389i | −0.0179282 | + | 0.0551772i | ||||
\(493\) | 0.676296 | + | 0.491358i | 0.0304588 | + | 0.0221296i | ||||
\(494\) | 5.23510 | 0.235538 | ||||||||
\(495\) | 21.3837 | + | 1.99638i | 0.961125 | + | 0.0897307i | ||||
\(496\) | 3.26933 | 0.146797 | ||||||||
\(497\) | 11.8629 | + | 8.61891i | 0.532125 | + | 0.386611i | ||||
\(498\) | −0.518273 | + | 1.59508i | −0.0232244 | + | 0.0714773i | ||||
\(499\) | −3.14563 | − | 9.68125i | −0.140818 | − | 0.433392i | 0.855632 | − | 0.517585i | \(-0.173169\pi\) |
−0.996449 | + | 0.0841926i | \(0.973169\pi\) | |||||||
\(500\) | −9.29199 | + | 6.75103i | −0.415551 | + | 0.301915i | ||||
\(501\) | 0.534164 | − | 0.388093i | 0.0238647 | − | 0.0173387i | ||||
\(502\) | −8.86260 | − | 27.2763i | −0.395557 | − | 1.21740i | ||||
\(503\) | 7.59558 | − | 23.3768i | 0.338670 | − | 1.04232i | −0.626215 | − | 0.779650i | \(-0.715397\pi\) |
0.964886 | − | 0.262670i | \(-0.0846030\pi\) | |||||||
\(504\) | 9.63091 | + | 6.99727i | 0.428995 | + | 0.311683i | ||||
\(505\) | 5.51593 | 0.245456 | ||||||||
\(506\) | 14.4934 | + | 12.7479i | 0.644312 | + | 0.566713i | ||||
\(507\) | 1.74266 | 0.0773942 | ||||||||
\(508\) | 10.6384 | + | 7.72926i | 0.472003 | + | 0.342930i | ||||
\(509\) | −2.14934 | + | 6.61500i | −0.0952680 | + | 0.293205i | −0.987323 | − | 0.158721i | \(-0.949263\pi\) |
0.892055 | + | 0.451926i | \(0.149263\pi\) | |||||||
\(510\) | −0.0125755 | − | 0.0387035i | −0.000556854 | − | 0.00171382i | ||||
\(511\) | −11.0752 | + | 8.04657i | −0.489936 | + | 0.355959i | ||||
\(512\) | 0.809017 | − | 0.587785i | 0.0357538 | − | 0.0259767i | ||||
\(513\) | 0.223735 | + | 0.688587i | 0.00987816 | + | 0.0304019i | ||||
\(514\) | 2.26128 | − | 6.95950i | 0.0997407 | − | 0.306970i | ||||
\(515\) | −5.96516 | − | 4.33394i | −0.262856 | − | 0.190976i | ||||
\(516\) | −1.17669 | −0.0518009 | ||||||||
\(517\) | 8.73543 | − | 20.2507i | 0.384184 | − | 0.890624i | ||||
\(518\) | 28.1078 | 1.23498 | ||||||||
\(519\) | 1.03162 | + | 0.749513i | 0.0452829 | + | 0.0329000i | ||||
\(520\) | 3.50897 | − | 10.7995i | 0.153879 | − | 0.473590i | ||||
\(521\) | −3.98526 | − | 12.2654i | −0.174597 | − | 0.537355i | 0.825018 | − | 0.565107i | \(-0.191165\pi\) |
−0.999615 | + | 0.0277519i | \(0.991165\pi\) | |||||||
\(522\) | −13.0174 | + | 9.45770i | −0.569756 | + | 0.413952i | ||||
\(523\) | −19.4428 | + | 14.1261i | −0.850176 | + | 0.617689i | −0.925195 | − | 0.379493i | \(-0.876098\pi\) |
0.0750183 | + | 0.997182i | \(0.476098\pi\) | |||||||
\(524\) | 0.0103211 | + | 0.0317652i | 0.000450881 | + | 0.00138767i | ||||
\(525\) | 0.0439949 | − | 0.135403i | 0.00192010 | − | 0.00590945i | ||||
\(526\) | −15.7930 | − | 11.4743i | −0.688608 | − | 0.500303i | ||||
\(527\) | −0.507071 | −0.0220884 | ||||||||
\(528\) | 0.0879716 | + | 0.391434i | 0.00382847 | + | 0.0170350i | ||||
\(529\) | 10.8698 | 0.472602 | ||||||||
\(530\) | −10.2656 | − | 7.45837i | −0.445908 | − | 0.323971i | ||||
\(531\) | 4.00678 | − | 12.3316i | 0.173879 | − | 0.535146i | ||||
\(532\) | 1.23224 | + | 3.79244i | 0.0534243 | + | 0.164423i | ||||
\(533\) | 45.0565 | − | 32.7354i | 1.95161 | − | 1.41793i | ||||
\(534\) | −0.703024 | + | 0.510777i | −0.0304228 | + | 0.0221035i | ||||
\(535\) | −7.87528 | − | 24.2376i | −0.340478 | − | 1.04788i | ||||
\(536\) | −1.75166 | + | 5.39107i | −0.0756604 | + | 0.232859i | ||||
\(537\) | −0.775125 | − | 0.563161i | −0.0334491 | − | 0.0243022i | ||||
\(538\) | 6.39061 | 0.275519 | ||||||||
\(539\) | −25.3927 | + | 15.0569i | −1.09374 | + | 0.648547i | ||||
\(540\) | 1.57045 | 0.0675816 | ||||||||
\(541\) | 9.92043 | + | 7.20761i | 0.426513 | + | 0.309880i | 0.780253 | − | 0.625464i | \(-0.215090\pi\) |
−0.353740 | + | 0.935344i | \(0.615090\pi\) | |||||||
\(542\) | −2.88667 | + | 8.88426i | −0.123993 | + | 0.381612i | ||||
\(543\) | −0.215263 | − | 0.662511i | −0.00923782 | − | 0.0284311i | ||||
\(544\) | −0.125478 | + | 0.0911651i | −0.00537983 | + | 0.00390867i | ||||
\(545\) | −11.8681 | + | 8.62271i | −0.508375 | + | 0.369356i | ||||
\(546\) | 0.780334 | + | 2.40162i | 0.0333952 | + | 0.102780i | ||||
\(547\) | 2.19117 | − | 6.74373i | 0.0936877 | − | 0.288341i | −0.893222 | − | 0.449616i | \(-0.851561\pi\) |
0.986909 | + | 0.161275i | \(0.0515607\pi\) | |||||||
\(548\) | 1.08909 | + | 0.791271i | 0.0465237 | + | 0.0338014i | ||||
\(549\) | 8.16728 | 0.348571 | ||||||||
\(550\) | −0.842013 | + | 0.499281i | −0.0359035 | + | 0.0212894i | ||||
\(551\) | −5.38975 | −0.229611 | ||||||||
\(552\) | 0.569542 | + | 0.413797i | 0.0242413 | + | 0.0176124i | ||||
\(553\) | 0.634089 | − | 1.95152i | 0.0269642 | − | 0.0829873i | ||||
\(554\) | −7.61927 | − | 23.4497i | −0.323712 | − | 0.996282i | ||||
\(555\) | 1.49626 | − | 1.08709i | 0.0635126 | − | 0.0461446i | ||||
\(556\) | −1.22991 | + | 0.893579i | −0.0521596 | + | 0.0378962i | ||||
\(557\) | 12.5264 | + | 38.5522i | 0.530760 | + | 1.63351i | 0.752637 | + | 0.658435i | \(0.228781\pi\) |
−0.221878 | + | 0.975075i | \(0.571219\pi\) | |||||||
\(558\) | 3.01605 | − | 9.28246i | 0.127680 | − | 0.392958i | ||||
\(559\) | 41.1986 | + | 29.9325i | 1.74252 | + | 1.26601i | ||||
\(560\) | 8.64937 | 0.365503 | ||||||||
\(561\) | −0.0136443 | − | 0.0607111i | −0.000576065 | − | 0.00256322i | ||||
\(562\) | 0.913705 | 0.0385423 | ||||||||
\(563\) | −33.0758 | − | 24.0310i | −1.39398 | − | 1.01279i | −0.995415 | − | 0.0956454i | \(-0.969509\pi\) |
−0.398565 | − | 0.917140i | \(-0.630491\pi\) | |||||||
\(564\) | 0.248567 | − | 0.765010i | 0.0104666 | − | 0.0322128i | ||||
\(565\) | 8.96155 | + | 27.5808i | 0.377015 | + | 1.16033i | ||||
\(566\) | −20.0215 | + | 14.5464i | −0.841565 | + | 0.611433i | ||||
\(567\) | 28.6102 | − | 20.7865i | 1.20151 | − | 0.872952i | ||||
\(568\) | −1.13633 | − | 3.49726i | −0.0476793 | − | 0.146742i | ||||
\(569\) | 5.75518 | − | 17.7126i | 0.241270 | − | 0.742551i | −0.754958 | − | 0.655773i | \(-0.772343\pi\) |
0.996228 | − | 0.0867782i | \(-0.0276572\pi\) | |||||||
\(570\) | 0.212272 | + | 0.154224i | 0.00889108 | + | 0.00645975i | ||||
\(571\) | −7.25678 | −0.303687 | −0.151843 | − | 0.988405i | \(-0.548521\pi\) | ||||
−0.151843 | + | 0.988405i | \(0.548521\pi\) | |||||||
\(572\) | 6.87717 | − | 15.9428i | 0.287549 | − | 0.666602i | ||||
\(573\) | −1.97084 | −0.0823328 | ||||||||
\(574\) | 34.3198 | + | 24.9348i | 1.43248 | + | 1.04076i | ||||
\(575\) | −0.530806 | + | 1.63365i | −0.0221361 | + | 0.0681280i | ||||
\(576\) | −0.922529 | − | 2.83925i | −0.0384387 | − | 0.118302i | ||||
\(577\) | 11.5090 | − | 8.36174i | 0.479124 | − | 0.348104i | −0.321862 | − | 0.946786i | \(-0.604309\pi\) |
0.800986 | + | 0.598683i | \(0.204309\pi\) | |||||||
\(578\) | −13.7338 | + | 9.97821i | −0.571252 | + | 0.415039i | ||||
\(579\) | −0.958893 | − | 2.95117i | −0.0398502 | − | 0.122646i | ||||
\(580\) | −3.61264 | + | 11.1185i | −0.150007 | + | 0.461673i | ||||
\(581\) | 44.7285 | + | 32.4972i | 1.85565 | + | 1.34821i | ||||
\(582\) | −1.46706 | −0.0608118 | ||||||||
\(583\) | −14.5686 | − | 12.8140i | −0.603369 | − | 0.530701i | ||||
\(584\) | 3.43305 | 0.142061 | ||||||||
\(585\) | −27.4254 | − | 19.9257i | −1.13390 | − | 0.823827i | ||||
\(586\) | −4.40611 | + | 13.5606i | −0.182015 | + | 0.560184i | ||||
\(587\) | −6.53528 | − | 20.1135i | −0.269740 | − | 0.830173i | −0.990563 | − | 0.137055i | \(-0.956236\pi\) |
0.720824 | − | 0.693118i | \(-0.243764\pi\) | |||||||
\(588\) | −0.871078 | + | 0.632875i | −0.0359226 | + | 0.0260993i | ||||
\(589\) | 2.64494 | − | 1.92166i | 0.108983 | − | 0.0791808i | ||||
\(590\) | −2.91119 | − | 8.95972i | −0.119852 | − | 0.368866i | ||||
\(591\) | 0.418994 | − | 1.28953i | 0.0172351 | − | 0.0530442i | ||||
\(592\) | −5.70259 | − | 4.14317i | −0.234375 | − | 0.170283i | ||||
\(593\) | 4.97843 | 0.204440 | 0.102220 | − | 0.994762i | \(-0.467405\pi\) | ||||
0.102220 | + | 0.994762i | \(0.467405\pi\) | |||||||
\(594\) | 2.39092 | + | 0.223216i | 0.0981005 | + | 0.00915866i | ||||
\(595\) | −1.34151 | −0.0549966 | ||||||||
\(596\) | 12.5485 | + | 9.11700i | 0.514006 | + | 0.373447i | ||||
\(597\) | 0.576066 | − | 1.77295i | 0.0235768 | − | 0.0725620i | ||||
\(598\) | −9.41486 | − | 28.9759i | −0.385002 | − | 1.18491i | ||||
\(599\) | 28.2903 | − | 20.5541i | 1.15591 | − | 0.839818i | 0.166655 | − | 0.986015i | \(-0.446704\pi\) |
0.989255 | + | 0.146198i | \(0.0467035\pi\) | |||||||
\(600\) | −0.0288846 | + | 0.0209859i | −0.00117921 | + | 0.000856745i | ||||
\(601\) | 5.38629 | + | 16.5773i | 0.219711 | + | 0.676202i | 0.998785 | + | 0.0492703i | \(0.0156896\pi\) |
−0.779074 | + | 0.626932i | \(0.784310\pi\) | |||||||
\(602\) | −11.9866 | + | 36.8908i | −0.488536 | + | 1.50356i | ||||
\(603\) | 13.6906 | + | 9.94684i | 0.557526 | + | 0.405066i | ||||
\(604\) | −17.4067 | −0.708270 | ||||||||
\(605\) | 21.5653 | − | 10.2089i | 0.876756 | − | 0.415052i | ||||
\(606\) | 0.307615 | 0.0124960 | ||||||||
\(607\) | 24.5383 | + | 17.8281i | 0.995977 | + | 0.723620i | 0.961222 | − | 0.275776i | \(-0.0889349\pi\) |
0.0347550 | + | 0.999396i | \(0.488935\pi\) | |||||||
\(608\) | 0.309017 | − | 0.951057i | 0.0125323 | − | 0.0385704i | ||||
\(609\) | −0.803387 | − | 2.47257i | −0.0325549 | − | 0.100194i | ||||
\(610\) | 4.80076 | − | 3.48796i | 0.194377 | − | 0.141223i | ||||
\(611\) | −28.1632 | + | 20.4618i | −1.13936 | + | 0.827794i | ||||
\(612\) | 0.143084 | + | 0.440366i | 0.00578382 | + | 0.0178008i | ||||
\(613\) | −7.13642 | + | 21.9636i | −0.288237 | + | 0.887103i | 0.697172 | + | 0.716903i | \(0.254441\pi\) |
−0.985410 | + | 0.170199i | \(0.945559\pi\) | |||||||
\(614\) | 12.6735 | + | 9.20786i | 0.511462 | + | 0.371599i | ||||
\(615\) | 2.79132 | 0.112557 | ||||||||
\(616\) | 13.1681 | + | 1.22938i | 0.530559 | + | 0.0495330i | ||||
\(617\) | 10.8162 | 0.435445 | 0.217722 | − | 0.976011i | \(-0.430137\pi\) | ||||
0.217722 | + | 0.976011i | \(0.430137\pi\) | |||||||
\(618\) | −0.332668 | − | 0.241697i | −0.0133819 | − | 0.00972249i | ||||
\(619\) | −0.549042 | + | 1.68978i | −0.0220678 | + | 0.0679179i | −0.961484 | − | 0.274861i | \(-0.911368\pi\) |
0.939416 | + | 0.342779i | \(0.111368\pi\) | |||||||
\(620\) | −2.19136 | − | 6.74432i | −0.0880072 | − | 0.270858i | ||||
\(621\) | 3.40892 | − | 2.47672i | 0.136795 | − | 0.0993875i | ||||
\(622\) | 10.7305 | − | 7.79619i | 0.430255 | − | 0.312599i | ||||
\(623\) | 8.85207 | + | 27.2439i | 0.354651 | + | 1.09150i | ||||
\(624\) | 0.195690 | − | 0.602272i | 0.00783387 | − | 0.0241102i | ||||
\(625\) | 18.9610 | + | 13.7760i | 0.758441 | + | 0.551040i | ||||
\(626\) | 19.1916 | 0.767050 | ||||||||
\(627\) | 0.301249 | + | 0.264968i | 0.0120307 | + | 0.0105818i | ||||
\(628\) | −20.6376 | −0.823531 | ||||||||
\(629\) | 0.884468 | + | 0.642604i | 0.0352660 | + | 0.0256223i | ||||
\(630\) | 7.97930 | − | 24.5578i | 0.317903 | − | 0.978405i | ||||
\(631\) | 8.36332 | + | 25.7396i | 0.332938 | + | 1.02468i | 0.967729 | + | 0.251995i | \(0.0810865\pi\) |
−0.634790 | + | 0.772684i | \(0.718914\pi\) | |||||||
\(632\) | −0.416307 | + | 0.302465i | −0.0165598 | + | 0.0120314i | ||||
\(633\) | −0.263865 | + | 0.191709i | −0.0104877 | + | 0.00761974i | ||||
\(634\) | −7.47690 | − | 23.0115i | −0.296946 | − | 0.913905i | ||||
\(635\) | 8.81402 | − | 27.1268i | 0.349774 | − | 1.07649i | ||||
\(636\) | −0.572495 | − | 0.415942i | −0.0227009 | − | 0.0164932i | ||||
\(637\) | 46.5975 | 1.84626 | ||||||||
\(638\) | −7.08034 | + | 16.4138i | −0.280313 | + | 0.649829i | ||||
\(639\) | −10.9779 | −0.434279 | ||||||||
\(640\) | −1.75481 | − | 1.27494i | −0.0693650 | − | 0.0503966i | ||||
\(641\) | −0.191186 | + | 0.588409i | −0.00755138 | + | 0.0232408i | −0.954761 | − | 0.297374i | \(-0.903889\pi\) |
0.947210 | + | 0.320614i | \(0.103889\pi\) | |||||||
\(642\) | −0.439192 | − | 1.35169i | −0.0173335 | − | 0.0533471i | ||||
\(643\) | −9.80040 | + | 7.12040i | −0.386490 | + | 0.280801i | −0.764016 | − | 0.645198i | \(-0.776775\pi\) |
0.377526 | + | 0.925999i | \(0.376775\pi\) | |||||||
\(644\) | 18.7748 | − | 13.6407i | 0.739832 | − | 0.537519i | ||||
\(645\) | 0.788709 | + | 2.42740i | 0.0310554 | + | 0.0955787i | ||||
\(646\) | −0.0479283 | + | 0.147508i | −0.00188572 | + | 0.00580363i | ||||
\(647\) | 31.2641 | + | 22.7147i | 1.22912 | + | 0.893006i | 0.996824 | − | 0.0796402i | \(-0.0253771\pi\) |
0.232293 | + | 0.972646i | \(0.425377\pi\) | |||||||
\(648\) | −8.86852 | −0.348388 | ||||||||
\(649\) | −3.15861 | − | 14.0544i | −0.123986 | − | 0.551683i | ||||
\(650\) | 1.54515 | 0.0606059 | ||||||||
\(651\) | 1.27582 | + | 0.926939i | 0.0500034 | + | 0.0363296i | ||||
\(652\) | −4.85639 | + | 14.9464i | −0.190191 | + | 0.585347i | ||||
\(653\) | −7.36665 | − | 22.6722i | −0.288279 | − | 0.887233i | −0.985396 | − | 0.170276i | \(-0.945534\pi\) |
0.697117 | − | 0.716957i | \(-0.254466\pi\) | |||||||
\(654\) | −0.661868 | + | 0.480875i | −0.0258811 | + | 0.0188037i | ||||
\(655\) | 0.0586106 | − | 0.0425831i | 0.00229010 | − | 0.00166386i | ||||
\(656\) | −3.28743 | − | 10.1177i | −0.128353 | − | 0.395029i | ||||
\(657\) | 3.16709 | − | 9.74730i | 0.123560 | − | 0.380278i | ||||
\(658\) | −21.4521 | − | 15.5858i | −0.836288 | − | 0.607599i | ||||
\(659\) | 36.4845 | 1.42124 | 0.710618 | − | 0.703578i | \(-0.248415\pi\) | ||||
0.710618 | + | 0.703578i | \(0.248415\pi\) | |||||||
\(660\) | 0.748524 | − | 0.443846i | 0.0291363 | − | 0.0172767i | ||||
\(661\) | 30.3365 | 1.17995 | 0.589976 | − | 0.807421i | \(-0.299137\pi\) | ||||
0.589976 | + | 0.807421i | \(0.299137\pi\) | |||||||
\(662\) | 11.2990 | + | 8.20917i | 0.439147 | + | 0.319059i | ||||
\(663\) | −0.0303514 | + | 0.0934120i | −0.00117875 | + | 0.00362782i | ||||
\(664\) | −4.28447 | − | 13.1862i | −0.166270 | − | 0.511726i | ||||
\(665\) | 6.99749 | − | 5.08397i | 0.271351 | − | 0.197148i | ||||
\(666\) | −17.0243 | + | 12.3689i | −0.659679 | + | 0.479285i | ||||
\(667\) | 9.69299 | + | 29.8320i | 0.375314 | + | 1.15510i | ||||
\(668\) | −1.68670 | + | 5.19113i | −0.0652603 | + | 0.200851i | ||||
\(669\) | 2.25609 | + | 1.63914i | 0.0872254 | + | 0.0633730i | ||||
\(670\) | 12.2954 | 0.475011 | ||||||||
\(671\) | 7.80461 | − | 4.62784i | 0.301294 | − | 0.178656i | ||||
\(672\) | 0.482362 | 0.0186075 | ||||||||
\(673\) | 6.16978 | + | 4.48261i | 0.237828 | + | 0.172792i | 0.700315 | − | 0.713834i | \(-0.253043\pi\) |
−0.462487 | + | 0.886626i | \(0.653043\pi\) | |||||||
\(674\) | 10.5470 | − | 32.4604i | 0.406256 | − | 1.25033i | ||||
\(675\) | 0.0660361 | + | 0.203238i | 0.00254173 | + | 0.00782265i | ||||
\(676\) | −11.6549 | + | 8.46778i | −0.448265 | + | 0.325684i | ||||
\(677\) | 21.8062 | − | 15.8431i | 0.838080 | − | 0.608901i | −0.0837535 | − | 0.996487i | \(-0.526691\pi\) |
0.921834 | + | 0.387586i | \(0.126691\pi\) | |||||||
\(678\) | 0.499772 | + | 1.53814i | 0.0191936 | + | 0.0590719i | ||||
\(679\) | −14.9445 | + | 45.9945i | −0.573518 | + | 1.76511i | ||||
\(680\) | 0.272170 | + | 0.197743i | 0.0104372 | + | 0.00758310i | ||||
\(681\) | −1.73221 | −0.0663785 | ||||||||
\(682\) | −2.37761 | − | 10.5793i | −0.0910433 | − | 0.405101i | ||||
\(683\) | −46.1845 | −1.76720 | −0.883600 | − | 0.468242i | \(-0.844888\pi\) | ||||
−0.883600 | + | 0.468242i | \(0.844888\pi\) | |||||||
\(684\) | −2.41521 | − | 1.75475i | −0.0923480 | − | 0.0670947i | ||||
\(685\) | 0.902323 | − | 2.77706i | 0.0344760 | − | 0.106106i | ||||
\(686\) | 2.34246 | + | 7.20934i | 0.0894354 | + | 0.275254i | ||||
\(687\) | −1.62047 | + | 1.17734i | −0.0618248 | + | 0.0449184i | ||||
\(688\) | 7.86969 | − | 5.71767i | 0.300029 | − | 0.217984i | ||||
\(689\) | 9.46367 | + | 29.1262i | 0.360537 | + | 1.10962i | ||||
\(690\) | 0.471871 | − | 1.45227i | 0.0179638 | − | 0.0552870i | ||||
\(691\) | 4.54652 | + | 3.30324i | 0.172958 | + | 0.125661i | 0.670896 | − | 0.741551i | \(-0.265909\pi\) |
−0.497939 | + | 0.867212i | \(0.665909\pi\) | |||||||
\(692\) | −10.5414 | −0.400725 | ||||||||
\(693\) | 15.6385 | − | 36.2535i | 0.594057 | − | 1.37716i | ||||
\(694\) | −15.2391 | −0.578467 | ||||||||
\(695\) | 2.66775 | + | 1.93823i | 0.101193 | + | 0.0735213i | ||||
\(696\) | −0.201471 | + | 0.620065i | −0.00763675 | + | 0.0235035i | ||||
\(697\) | 0.509879 | + | 1.56925i | 0.0193130 | + | 0.0594394i | ||||
\(698\) | 27.5895 | − | 20.0449i | 1.04428 | − | 0.758711i | ||||
\(699\) | 1.93031 | − | 1.40245i | 0.0730111 | − | 0.0530457i | ||||
\(700\) | 0.363698 | + | 1.11935i | 0.0137465 | + | 0.0423074i | ||||
\(701\) | 8.85554 | − | 27.2545i | 0.334469 | − | 1.02939i | −0.632514 | − | 0.774549i | \(-0.717977\pi\) |
0.966983 | − | 0.254841i | \(-0.0820230\pi\) | |||||||
\(702\) | −3.06644 | − | 2.22790i | −0.115735 | − | 0.0840867i | ||||
\(703\) | −7.04879 | −0.265850 | ||||||||
\(704\) | −2.49037 | − | 2.19044i | −0.0938595 | − | 0.0825554i | ||||
\(705\) | −1.74475 | −0.0657112 | ||||||||
\(706\) | 23.1429 | + | 16.8143i | 0.870994 | + | 0.632814i | ||||
\(707\) | 3.13358 | − | 9.64416i | 0.117850 | − | 0.362706i | ||||
\(708\) | −0.162353 | − | 0.499670i | −0.00610158 | − | 0.0187787i | ||||
\(709\) | 5.04815 | − | 3.66769i | 0.189587 | − | 0.137743i | −0.488943 | − | 0.872316i | \(-0.662617\pi\) |
0.678530 | + | 0.734573i | \(0.262617\pi\) | |||||||
\(710\) | −6.45286 | + | 4.68828i | −0.242172 | + | 0.175948i | ||||
\(711\) | 0.474718 | + | 1.46103i | 0.0178033 | + | 0.0547930i | ||||
\(712\) | 2.21990 | − | 6.83214i | 0.0831942 | − | 0.256045i | ||||
\(713\) | −15.3930 | − | 11.1837i | −0.576472 | − | 0.418832i | ||||
\(714\) | −0.0748141 | −0.00279985 | ||||||||
\(715\) | −37.4981 | − | 3.50082i | −1.40235 | − | 0.130923i | ||||
\(716\) | 7.92050 | 0.296003 | ||||||||
\(717\) | −2.57975 | − | 1.87430i | −0.0963425 | − | 0.0699969i | ||||
\(718\) | −2.18724 | + | 6.73162i | −0.0816269 | + | 0.251222i | ||||
\(719\) | 5.81747 | + | 17.9043i | 0.216955 | + | 0.667718i | 0.999009 | + | 0.0445080i | \(0.0141720\pi\) |
−0.782054 | + | 0.623210i | \(0.785828\pi\) | |||||||
\(720\) | −5.23876 | + | 3.80618i | −0.195237 | + | 0.141848i | ||||
\(721\) | −10.9663 | + | 7.96750i | −0.408407 | + | 0.296725i | ||||
\(722\) | −0.309017 | − | 0.951057i | −0.0115004 | − | 0.0353947i | ||||
\(723\) | 0.488911 | − | 1.50471i | 0.0181828 | − | 0.0559608i | ||||
\(724\) | 4.65889 | + | 3.38488i | 0.173146 | + | 0.125798i | ||||
\(725\) | −1.59080 | −0.0590809 | ||||||||
\(726\) | 1.20267 | − | 0.569337i | 0.0446352 | − | 0.0211301i | ||||
\(727\) | −16.7788 | −0.622290 | −0.311145 | − | 0.950362i | \(-0.600712\pi\) | ||||
−0.311145 | + | 0.950362i | \(0.600712\pi\) | |||||||
\(728\) | −16.8886 | − | 12.2703i | −0.625934 | − | 0.454768i | ||||
\(729\) | −8.10028 | + | 24.9301i | −0.300010 | + | 0.923337i | ||||
\(730\) | −2.30110 | − | 7.08206i | −0.0851675 | − | 0.262119i | ||||
\(731\) | −1.22058 | + | 0.886807i | −0.0451449 | + | 0.0327997i | ||||
\(732\) | 0.267731 | − | 0.194518i | 0.00989563 | − | 0.00718960i | ||||
\(733\) | 1.77745 | + | 5.47041i | 0.0656514 | + | 0.202054i | 0.978501 | − | 0.206241i | \(-0.0661232\pi\) |
−0.912850 | + | 0.408296i | \(0.866123\pi\) | |||||||
\(734\) | 9.43568 | − | 29.0400i | 0.348277 | − | 1.07189i | ||||
\(735\) | 1.88943 | + | 1.37275i | 0.0696925 | + | 0.0506346i | ||||
\(736\) | −5.81978 | −0.214520 | ||||||||
\(737\) | 18.7189 | + | 1.74760i | 0.689520 | + | 0.0643736i | ||||
\(738\) | −31.7594 | −1.16908 | ||||||||
\(739\) | −32.4602 | − | 23.5837i | −1.19407 | − | 0.867541i | −0.200380 | − | 0.979718i | \(-0.564218\pi\) |
−0.993688 | + | 0.112177i | \(0.964218\pi\) | |||||||
\(740\) | −4.72465 | + | 14.5410i | −0.173682 | + | 0.534537i | ||||
\(741\) | −0.195690 | − | 0.602272i | −0.00718885 | − | 0.0221250i | ||||
\(742\) | −18.8722 | + | 13.7114i | −0.692820 | + | 0.503363i | ||||
\(743\) | 2.12568 | − | 1.54440i | 0.0779837 | − | 0.0566585i | −0.548110 | − | 0.836406i | \(-0.684653\pi\) |
0.626094 | + | 0.779748i | \(0.284653\pi\) | |||||||
\(744\) | −0.122209 | − | 0.376120i | −0.00448040 | − | 0.0137892i | ||||
\(745\) | 10.3965 | − | 31.9972i | 0.380899 | − | 1.17229i | ||||
\(746\) | −26.7629 | − | 19.4444i | −0.979861 | − | 0.711911i | ||||
\(747\) | −41.3916 | −1.51444 | ||||||||
\(748\) | 0.386255 | + | 0.339736i | 0.0141229 | + | 0.0124220i | ||||
\(749\) | −46.8514 | −1.71191 | ||||||||
\(750\) | 1.12401 | + | 0.816642i | 0.0410431 | + | 0.0298195i | ||||
\(751\) | 9.46795 | − | 29.1393i | 0.345490 | − | 1.06331i | −0.615831 | − | 0.787879i | \(-0.711179\pi\) |
0.961321 | − | 0.275431i | \(-0.0888206\pi\) | |||||||
\(752\) | 2.05486 | + | 6.32420i | 0.0749330 | + | 0.230620i | ||||
\(753\) | −2.80671 | + | 2.03920i | −0.102282 | + | 0.0743125i | ||||
\(754\) | 22.8271 | − | 16.5849i | 0.831315 | − | 0.603986i | ||||
\(755\) | 11.6674 | + | 35.9084i | 0.424619 | + | 1.30684i | ||||
\(756\) | 0.892168 | − | 2.74581i | 0.0324478 | − | 0.0998642i | ||||
\(757\) | −31.8917 | − | 23.1706i | −1.15912 | − | 0.842151i | −0.169455 | − | 0.985538i | \(-0.554201\pi\) |
−0.989667 | + | 0.143386i | \(0.954201\pi\) | |||||||
\(758\) | −9.04897 | −0.328673 | ||||||||
\(759\) | 0.924811 | − | 2.14392i | 0.0335685 | − | 0.0778193i | ||||
\(760\) | −2.16907 | −0.0786803 | ||||||||
\(761\) | 9.07229 | + | 6.59140i | 0.328870 | + | 0.238938i | 0.739951 | − | 0.672661i | \(-0.234849\pi\) |
−0.411081 | + | 0.911599i | \(0.634849\pi\) | |||||||
\(762\) | 0.491545 | − | 1.51282i | 0.0178068 | − | 0.0548037i | ||||
\(763\) | 8.33386 | + | 25.6490i | 0.301706 | + | 0.928556i | ||||
\(764\) | 13.1809 | − | 9.57652i | 0.476870 | − | 0.346466i | ||||
\(765\) | 0.812528 | − | 0.590336i | 0.0293770 | − | 0.0213436i | ||||
\(766\) | 7.70058 | + | 23.6999i | 0.278233 | + | 0.856313i | ||||
\(767\) | −7.02623 | + | 21.6245i | −0.253702 | + | 0.780816i | ||||
\(768\) | −0.0978632 | − | 0.0711018i | −0.00353133 | − | 0.00256566i | ||||
\(769\) | 25.6746 | 0.925850 | 0.462925 | − | 0.886398i | \(-0.346800\pi\) | ||||
0.462925 | + | 0.886398i | \(0.346800\pi\) | |||||||
\(770\) | −6.29022 | − | 27.9886i | −0.226684 | − | 1.00864i | ||||
\(771\) | −0.885183 | −0.0318791 | ||||||||
\(772\) | 20.7531 | + | 15.0780i | 0.746922 | + | 0.542670i | ||||
\(773\) | 10.9146 | − | 33.5916i | 0.392570 | − | 1.20820i | −0.538269 | − | 0.842773i | \(-0.680921\pi\) |
0.930838 | − | 0.365431i | \(-0.119079\pi\) | |||||||
\(774\) | −8.97388 | − | 27.6188i | −0.322560 | − | 0.992736i | ||||
\(775\) | 0.780663 | − | 0.567185i | 0.0280422 | − | 0.0203739i | ||||
\(776\) | 9.81172 | − | 7.12863i | 0.352220 | − | 0.255903i | ||||
\(777\) | −1.05068 | − | 3.23366i | −0.0376929 | − | 0.116007i | ||||
\(778\) | 8.64121 | − | 26.5949i | 0.309802 | − | 0.953474i | ||||
\(779\) | −8.60661 | − | 6.25307i | −0.308364 | − | 0.224040i | ||||
\(780\) | −1.37360 | −0.0491826 | ||||||||
\(781\) | −10.4904 | + | 6.22043i | −0.375377 | + | 0.222584i | ||||
\(782\) | 0.902644 | 0.0322785 | ||||||||
\(783\) | 3.15703 | + | 2.29372i | 0.112823 | + | 0.0819708i | ||||
\(784\) | 2.75055 | − | 8.46533i | 0.0982340 | − | 0.302333i | ||||
\(785\) | 13.8329 | + | 42.5734i | 0.493719 | + | 1.51951i | ||||
\(786\) | 0.00326862 | − | 0.00237479i | 0.000116588 | − | 8.47060e-5i | ||||
\(787\) | 8.67585 | − | 6.30337i | 0.309261 | − | 0.224691i | −0.422319 | − | 0.906447i | \(-0.638784\pi\) |
0.731579 | + | 0.681757i | \(0.238784\pi\) | |||||||
\(788\) | 3.46375 | + | 10.6603i | 0.123391 | + | 0.379758i | ||||
\(789\) | −0.729711 | + | 2.24582i | −0.0259784 | + | 0.0799533i | ||||
\(790\) | 0.902997 | + | 0.656066i | 0.0321272 | + | 0.0233418i | ||||
\(791\) | 53.3138 | 1.89562 | ||||||||
\(792\) | −8.51666 | + | 5.05006i | −0.302626 | + | 0.179446i | ||||
\(793\) | −14.3220 | −0.508590 | ||||||||
\(794\) | −5.79029 | − | 4.20689i | −0.205490 | − | 0.149297i | ||||
\(795\) | −0.474318 | + | 1.45980i | −0.0168223 | + | 0.0517738i | ||||
\(796\) | 4.76224 | + | 14.6567i | 0.168793 | + | 0.519491i | ||||
\(797\) | −19.4278 | + | 14.1151i | −0.688167 | + | 0.499982i | −0.876057 | − | 0.482208i | \(-0.839835\pi\) |
0.187890 | + | 0.982190i | \(0.439835\pi\) | |||||||
\(798\) | 0.390239 | − | 0.283526i | 0.0138143 | − | 0.0100367i | ||||
\(799\) | −0.318707 | − | 0.980880i | −0.0112750 | − | 0.0347010i | ||||
\(800\) | 0.0912072 | − | 0.280707i | 0.00322466 | − | 0.00992449i | ||||
\(801\) | −17.3503 | − | 12.6057i | −0.613041 | − | 0.445401i | ||||
\(802\) | −20.2032 | −0.713399 | ||||||||
\(803\) | −2.49667 | − | 11.1090i | −0.0881056 | − | 0.392030i | ||||
\(804\) | 0.685694 | 0.0241826 | ||||||||
\(805\) | −40.7239 | − | 29.5876i | −1.43533 | − | 1.04283i | ||||
\(806\) | −5.28891 | + | 16.2776i | −0.186294 | + | 0.573353i | ||||
\(807\) | −0.238884 | − | 0.735209i | −0.00840911 | − | 0.0258806i | ||||
\(808\) | −2.05733 | + | 1.49474i | −0.0723766 | + | 0.0525847i | ||||
\(809\) | −18.1983 | + | 13.2218i | −0.639817 | + | 0.464854i | −0.859787 | − | 0.510652i | \(-0.829404\pi\) |
0.219970 | + | 0.975507i | \(0.429404\pi\) | |||||||
\(810\) | 5.94438 | + | 18.2949i | 0.208864 | + | 0.642818i | ||||
\(811\) | −12.7737 | + | 39.3136i | −0.448547 | + | 1.38049i | 0.430000 | + | 0.902829i | \(0.358514\pi\) |
−0.878547 | + | 0.477657i | \(0.841486\pi\) | |||||||
\(812\) | 17.3876 | + | 12.6328i | 0.610184 | + | 0.443324i | ||||
\(813\) | 1.13000 | 0.0396307 | ||||||||
\(814\) | −9.25975 | + | 21.4662i | −0.324554 | + | 0.752389i | ||||
\(815\) | 34.0882 | 1.19406 | ||||||||
\(816\) | 0.0151785 | + | 0.0110278i | 0.000531354 | + | 0.000386051i | ||||
\(817\) | 3.00596 | − | 9.25138i | 0.105165 | − | 0.323665i | ||||
\(818\) | 11.3925 | + | 35.0624i | 0.398328 | + | 1.22593i | ||||
\(819\) | −50.4188 | + | 36.6314i | −1.76177 | + | 1.28000i | ||||
\(820\) | −18.6683 | + | 13.5633i | −0.651926 | + | 0.473652i | ||||
\(821\) | −8.78037 | − | 27.0232i | −0.306437 | − | 0.943117i | −0.979137 | − | 0.203201i | \(-0.934865\pi\) |
0.672700 | − | 0.739915i | \(-0.265135\pi\) | |||||||
\(822\) | 0.0503212 | − | 0.154873i | 0.00175515 | − | 0.00540180i | ||||
\(823\) | −12.3064 | − | 8.94116i | −0.428976 | − | 0.311669i | 0.352263 | − | 0.935901i | \(-0.385412\pi\) |
−0.781239 | + | 0.624232i | \(0.785412\pi\) | |||||||
\(824\) | 3.39932 | 0.118421 | ||||||||
\(825\) | 0.0889146 | + | 0.0782060i | 0.00309561 | + | 0.00272278i | ||||
\(826\) | −17.3192 | −0.602611 | ||||||||
\(827\) | 39.3941 | + | 28.6215i | 1.36987 | + | 0.995267i | 0.997747 | + | 0.0670819i | \(0.0213689\pi\) |
0.372120 | + | 0.928185i | \(0.378631\pi\) | |||||||
\(828\) | −5.36892 | + | 16.5238i | −0.186583 | + | 0.574243i | ||||
\(829\) | 2.70468 | + | 8.32415i | 0.0939374 | + | 0.289110i | 0.986975 | − | 0.160872i | \(-0.0514306\pi\) |
−0.893038 | + | 0.449982i | \(0.851431\pi\) | |||||||
\(830\) | −24.3302 | + | 17.6769i | −0.844513 | + | 0.613574i | ||||
\(831\) | −2.41296 | + | 1.75312i | −0.0837046 | + | 0.0608150i | ||||
\(832\) | 1.61773 | + | 4.97887i | 0.0560848 | + | 0.172611i | ||||
\(833\) | −0.426609 | + | 1.31297i | −0.0147811 | + | 0.0454916i | ||||
\(834\) | 0.148776 | + | 0.108092i | 0.00515170 | + | 0.00374293i | ||||
\(835\) | 11.8394 | 0.409718 | ||||||||
\(836\) | −3.30226 | − | 0.308300i | −0.114211 | − | 0.0106628i | ||||
\(837\) | −2.36707 | −0.0818179 | ||||||||
\(838\) | −3.99450 | − | 2.90218i | −0.137988 | − | 0.100254i | ||||
\(839\) | 0.408727 | − | 1.25793i | 0.0141108 | − | 0.0434287i | −0.943753 | − | 0.330651i | \(-0.892732\pi\) |
0.957864 | + | 0.287222i | \(0.0927318\pi\) | |||||||
\(840\) | −0.323317 | − | 0.995068i | −0.0111555 | − | 0.0343331i | ||||
\(841\) | −0.0400120 | + | 0.0290704i | −0.00137972 | + | 0.00100243i | ||||
\(842\) | −5.30715 | + | 3.85587i | −0.182896 | + | 0.132882i | ||||
\(843\) | −0.0341547 | − | 0.105117i | −0.00117635 | − | 0.00362043i | ||||
\(844\) | 0.833190 | − | 2.56430i | 0.0286796 | − | 0.0882667i | ||||
\(845\) | 25.2802 | + | 18.3672i | 0.869667 | + | 0.631850i | ||||
\(846\) | 19.8517 | 0.682515 | ||||||||
\(847\) | −5.59831 | − | 43.5049i | −0.192360 | − | 1.49485i | ||||
\(848\) | 5.84996 | 0.200888 | ||||||||
\(849\) | 2.42191 | + | 1.75962i | 0.0831196 | + | 0.0603899i | ||||
\(850\) | −0.0141462 | + | 0.0435375i | −0.000485210 | + | 0.00149332i | ||||
\(851\) | 12.6766 | + | 39.0146i | 0.434549 | + | 1.33740i | ||||
\(852\) | −0.359866 | + | 0.261458i | −0.0123288 | + | 0.00895741i | ||||
\(853\) | 24.3801 | − | 17.7132i | 0.834759 | − | 0.606488i | −0.0861424 | − | 0.996283i | \(-0.527454\pi\) |
0.920902 | + | 0.389795i | \(0.127454\pi\) | |||||||
\(854\) | −3.37112 | − | 10.3752i | −0.115357 | − | 0.355033i | ||||
\(855\) | −2.00103 | + | 6.15853i | −0.0684337 | + | 0.210617i | ||||
\(856\) | 9.50536 | + | 6.90605i | 0.324886 | + | 0.236044i | ||||
\(857\) | 43.4283 | 1.48348 | 0.741741 | − | 0.670687i | \(-0.234001\pi\) | ||||
0.741741 | + | 0.670687i | \(0.234001\pi\) | |||||||
\(858\) | −2.09121 | − | 0.195236i | −0.0713928 | − | 0.00666524i | ||||
\(859\) | −45.4700 | −1.55142 | −0.775709 | − | 0.631091i | \(-0.782607\pi\) | ||||
−0.775709 | + | 0.631091i | \(0.782607\pi\) | |||||||
\(860\) | −17.0699 | − | 12.4020i | −0.582078 | − | 0.422905i | ||||
\(861\) | 1.58573 | − | 4.88039i | 0.0540417 | − | 0.166323i | ||||
\(862\) | −2.81584 | − | 8.66628i | −0.0959080 | − | 0.295175i | ||||
\(863\) | −11.3784 | + | 8.26686i | −0.387324 | + | 0.281407i | −0.764358 | − | 0.644792i | \(-0.776944\pi\) |
0.377034 | + | 0.926199i | \(0.376944\pi\) | |||||||
\(864\) | −0.585747 | + | 0.425570i | −0.0199275 | + | 0.0144782i | ||||
\(865\) | 7.06568 | + | 21.7459i | 0.240240 | + | 0.739384i | ||||
\(866\) | 9.23470 | − | 28.4215i | 0.313808 | − | 0.965802i | ||||
\(867\) | 1.66132 | + | 1.20702i | 0.0564214 | + | 0.0409925i | ||||
\(868\) | −13.0368 | −0.442498 | ||||||||
\(869\) | 1.28151 | + | 1.12717i | 0.0434721 | + | 0.0382365i | ||||
\(870\) | 1.41418 | 0.0479450 | ||||||||
\(871\) | −24.0077 | − | 17.4426i | −0.813471 | − | 0.591021i | ||||
\(872\) | 2.08994 | − | 6.43218i | 0.0707744 | − | 0.217821i | ||||
\(873\) | −11.1884 | − | 34.4343i | −0.378670 | − | 1.16543i | ||||
\(874\) | −4.70830 | + | 3.42078i | −0.159261 | + | 0.115710i | ||||
\(875\) | 37.0528 | − | 26.9204i | 1.25261 | − | 0.910076i | ||||
\(876\) | −0.128329 | − | 0.394956i | −0.00433583 | − | 0.0133443i | ||||
\(877\) | −8.28736 | + | 25.5059i | −0.279844 | + | 0.861272i | 0.708053 | + | 0.706160i | \(0.249574\pi\) |
−0.987897 | + | 0.155112i | \(0.950426\pi\) | |||||||
\(878\) | −32.9039 | − | 23.9061i | −1.11045 | − | 0.806792i | ||||
\(879\) | 1.72478 | 0.0581755 | ||||||||
\(880\) | −2.84943 | + | 6.60561i | −0.0960542 | + | 0.222675i | ||||
\(881\) | −3.51062 | −0.118276 | −0.0591379 | − | 0.998250i | \(-0.518835\pi\) | ||||
−0.0591379 | + | 0.998250i | \(0.518835\pi\) | |||||||
\(882\) | −21.4978 | − | 15.6190i | −0.723867 | − | 0.525920i | ||||
\(883\) | −1.49087 | + | 4.58843i | −0.0501718 | + | 0.154413i | −0.973003 | − | 0.230791i | \(-0.925869\pi\) |
0.922832 | + | 0.385204i | \(0.125869\pi\) | |||||||
\(884\) | −0.250910 | − | 0.772220i | −0.00843900 | − | 0.0259726i | ||||
\(885\) | −0.921950 | + | 0.669836i | −0.0309910 | + | 0.0225163i | ||||
\(886\) | −31.9072 | + | 23.1820i | −1.07194 | + | 0.778813i | ||||
\(887\) | 15.9686 | + | 49.1463i | 0.536174 | + | 1.65017i | 0.741100 | + | 0.671395i | \(0.234305\pi\) |
−0.204926 | + | 0.978777i | \(0.565695\pi\) | |||||||
\(888\) | −0.263487 | + | 0.810928i | −0.00884203 | + | 0.0272130i | ||||
\(889\) | −42.4218 | − | 30.8212i | −1.42278 | − | 1.03371i | ||||
\(890\) | −15.5820 | −0.522310 | ||||||||
\(891\) | 6.44959 | + | 28.6977i | 0.216069 | + | 0.961410i | ||||
\(892\) | −23.0535 | −0.771888 | ||||||||
\(893\) | 5.37969 | + | 3.90857i | 0.180024 | + | 0.130795i | ||||
\(894\) | 0.579799 | − | 1.78444i | 0.0193914 | − | 0.0596805i | ||||
\(895\) | −5.30894 | − | 16.3392i | −0.177458 | − | 0.546160i | ||||
\(896\) | −3.22604 | + | 2.34385i | −0.107774 | + | 0.0783027i | ||||
\(897\) | −2.98161 | + | 2.16627i | −0.0995530 | + | 0.0723295i | ||||
\(898\) | 2.71530 | + | 8.35685i | 0.0906109 | + | 0.278872i | ||||
\(899\) | 5.44516 | − | 16.7585i | 0.181606 | − | 0.558926i | ||||
\(900\) | −0.712857 | − | 0.517921i | −0.0237619 | − | 0.0172640i | ||||
\(901\) | −0.907324 | −0.0302274 | ||||||||
\(902\) | −30.3491 | + | 17.9959i | −1.01052 | + | 0.599197i | ||||
\(903\) | 4.69217 | 0.156146 | ||||||||
\(904\) | −10.8165 | − | 7.85863i | −0.359750 | − | 0.261374i | ||||
\(905\) | 3.85994 | − | 11.8797i | 0.128309 | − | 0.394894i | ||||
\(906\) | 0.650671 | + | 2.00256i | 0.0216171 | + | 0.0665306i | ||||
\(907\) | −9.95017 | + | 7.22922i | −0.330390 | + | 0.240042i | −0.740596 | − | 0.671950i | \(-0.765457\pi\) |
0.410206 | + | 0.911993i | \(0.365457\pi\) | |||||||
\(908\) | 11.5850 | − | 8.41701i | 0.384463 | − | 0.279328i | ||||
\(909\) | 2.34599 | + | 7.22022i | 0.0778116 | + | 0.239479i | ||||
\(910\) | −13.9924 | + | 43.0641i | −0.463843 | + | 1.42756i | ||||
\(911\) | −0.773700 | − | 0.562126i | −0.0256338 | − | 0.0186241i | 0.574895 | − | 0.818227i | \(-0.305043\pi\) |
−0.600528 | + | 0.799603i | \(0.705043\pi\) | |||||||
\(912\) | −0.120966 | −0.00400557 | ||||||||
\(913\) | −39.5536 | + | 23.4538i | −1.30903 | + | 0.776208i | ||||
\(914\) | 13.4964 | 0.446422 | ||||||||
\(915\) | −0.580727 | − | 0.421923i | −0.0191982 | − | 0.0139483i | ||||
\(916\) | 5.11687 | − | 15.7481i | 0.169066 | − | 0.520332i | ||||
\(917\) | −0.0411566 | − | 0.126667i | −0.00135911 | − | 0.00418291i | ||||
\(918\) | 0.0908490 | − | 0.0660057i | 0.00299846 | − | 0.00217851i | ||||
\(919\) | −6.38076 | + | 4.63589i | −0.210482 | + | 0.152924i | −0.688032 | − | 0.725681i | \(-0.741525\pi\) |
0.477550 | + | 0.878605i | \(0.341525\pi\) | |||||||
\(920\) | 3.90087 | + | 12.0056i | 0.128608 | + | 0.395815i | ||||
\(921\) | 0.585577 | − | 1.80222i | 0.0192954 | − | 0.0593852i | ||||
\(922\) | −10.7769 | − | 7.82985i | −0.354917 | − | 0.257862i | ||||
\(923\) | 19.2507 | 0.633645 | ||||||||
\(924\) | −0.350796 | − | 1.56088i | −0.0115403 | − | 0.0513492i | ||||
\(925\) | −2.08047 | −0.0684054 | ||||||||
\(926\) | 6.69577 | + | 4.86476i | 0.220037 | + | 0.159866i | ||||
\(927\) | 3.13597 | − | 9.65152i | 0.102999 | − | 0.316997i | ||||
\(928\) | −1.66553 | − | 5.12596i | −0.0546736 | − | 0.168268i | ||||
\(929\) | 14.9297 | − | 10.8471i | 0.489828 | − | 0.355881i | −0.315290 | − | 0.948995i | \(-0.602102\pi\) |
0.805118 | + | 0.593115i | \(0.202102\pi\) | |||||||
\(930\) | −0.693986 | + | 0.504211i | −0.0227567 | + | 0.0165337i | ||||
\(931\) | −2.75055 | − | 8.46533i | −0.0901457 | − | 0.277440i | ||||
\(932\) | −6.09524 | + | 18.7592i | −0.199656 | + | 0.614479i | ||||
\(933\) | −1.29802 | − | 0.943070i | −0.0424954 | − | 0.0308747i | ||||
\(934\) | −18.3570 | −0.600658 | ||||||||
\(935\) | 0.441945 | − | 1.02453i | 0.0144531 | − | 0.0335056i | ||||
\(936\) | 15.6287 | 0.510840 | ||||||||
\(937\) | 11.1469 | + | 8.09870i | 0.364153 | + | 0.264573i | 0.754782 | − | 0.655975i | \(-0.227742\pi\) |
−0.390629 | + | 0.920548i | \(0.627742\pi\) | |||||||
\(938\) | 6.98494 | − | 21.4974i | 0.228066 | − | 0.701916i | ||||
\(939\) | −0.717389 | − | 2.20790i | −0.0234111 | − | 0.0720520i | ||||
\(940\) | 11.6689 | − | 8.47795i | 0.380597 | − | 0.276520i | ||||
\(941\) | 4.20286 | − | 3.05356i | 0.137009 | − | 0.0995431i | −0.517170 | − | 0.855883i | \(-0.673014\pi\) |
0.654179 | + | 0.756340i | \(0.273014\pi\) | |||||||
\(942\) | 0.771443 | + | 2.37426i | 0.0251350 | + | 0.0773575i | ||||
\(943\) | −19.1321 | + | 58.8827i | −0.623028 | + | 1.91748i | ||||
\(944\) | 3.51377 | + | 2.55290i | 0.114363 | + | 0.0830899i | ||||
\(945\) | −6.26235 | −0.203714 | ||||||||
\(946\) | −24.2251 | − | 21.3075i | −0.787625 | − | 0.692766i | ||||
\(947\) | 24.6482 | 0.800960 | 0.400480 | − | 0.916305i | \(-0.368843\pi\) | ||||
0.400480 | + | 0.916305i | \(0.368843\pi\) | |||||||
\(948\) | 0.0503588 | + | 0.0365878i | 0.00163558 | + | 0.00118832i | ||||
\(949\) | −5.55376 | + | 17.0927i | −0.180283 | + | 0.554853i | ||||
\(950\) | −0.0912072 | − | 0.280707i | −0.00295915 | − | 0.00910734i | ||||
\(951\) | −2.36787 | + | 1.72036i | −0.0767836 | + | 0.0557865i | ||||
\(952\) | 0.500357 | − | 0.363530i | 0.0162166 | − | 0.0117821i | ||||
\(953\) | −6.64577 | − | 20.4536i | −0.215277 | − | 0.662556i | −0.999134 | − | 0.0416137i | \(-0.986750\pi\) |
0.783856 | − | 0.620942i | \(-0.213250\pi\) | |||||||
\(954\) | 5.39675 | − | 16.6095i | 0.174726 | − | 0.537753i | ||||
\(955\) | −28.5903 | − | 20.7721i | −0.925161 | − | 0.672169i | ||||
\(956\) | 26.3608 | 0.852569 | ||||||||
\(957\) | 2.15299 | + | 0.201003i | 0.0695964 | + | 0.00649752i | ||||
\(958\) | 19.5982 | 0.633188 | ||||||||
\(959\) | −4.34286 | − | 3.15528i | −0.140238 | − | 0.101889i | ||||
\(960\) | −0.0810806 | + | 0.249540i | −0.00261686 | + | 0.00805388i | ||||
\(961\) | −6.27659 | − | 19.3174i | −0.202471 | − | 0.623141i | ||||
\(962\) | 29.8536 | − | 21.6899i | 0.962519 | − | 0.699311i | ||||
\(963\) | 28.3770 | − | 20.6171i | 0.914435 | − | 0.664376i | ||||
\(964\) | 4.04173 | + | 12.4392i | 0.130176 | + | 0.400639i | ||||
\(965\) | 17.1942 | − | 52.9182i | 0.553500 | − | 1.70350i | ||||
\(966\) | −2.27111 | − | 1.65006i | −0.0730717 | − | 0.0530897i | ||||
\(967\) | −4.57648 | −0.147170 | −0.0735848 | − | 0.997289i | \(-0.523444\pi\) | ||||
−0.0735848 | + | 0.997289i | \(0.523444\pi\) | |||||||
\(968\) | −5.27696 | + | 9.65162i | −0.169608 | + | 0.310215i | ||||
\(969\) | 0.0187617 | 0.000602712 | ||||||||
\(970\) | −21.2823 | − | 15.4625i | −0.683332 | − | 0.496470i | ||||
\(971\) | −4.79336 | + | 14.7524i | −0.153826 | + | 0.473428i | −0.998040 | − | 0.0625783i | \(-0.980068\pi\) |
0.844214 | + | 0.536006i | \(0.180068\pi\) | |||||||
\(972\) | 1.00272 | + | 3.08604i | 0.0321621 | + | 0.0989848i | ||||
\(973\) | 4.90438 | − | 3.56324i | 0.157227 | − | 0.114232i | ||||
\(974\) | 31.7444 | − | 23.0637i | 1.01716 | − | 0.739007i | ||||
\(975\) | −0.0577585 | − | 0.177762i | −0.00184975 | − | 0.00569295i | ||||
\(976\) | −0.845400 | + | 2.60187i | −0.0270606 | + | 0.0832839i | ||||
\(977\) | 26.4004 | + | 19.1810i | 0.844624 | + | 0.613655i | 0.923658 | − | 0.383217i | \(-0.125184\pi\) |
−0.0790345 | + | 0.996872i | \(0.525184\pi\) | |||||||
\(978\) | 1.90105 | 0.0607888 | ||||||||
\(979\) | −23.7226 | − | 2.21474i | −0.758178 | − | 0.0707835i | ||||
\(980\) | −19.3068 | −0.616733 | ||||||||
\(981\) | −16.3346 | − | 11.8678i | −0.521523 | − | 0.378908i | ||||
\(982\) | 5.75554 | − | 17.7137i | 0.183667 | − | 0.565268i | ||||
\(983\) | −9.77997 | − | 30.0996i | −0.311932 | − | 0.960029i | −0.976999 | − | 0.213245i | \(-0.931597\pi\) |
0.665066 | − | 0.746784i | \(-0.268403\pi\) | |||||||
\(984\) | −1.04110 | + | 0.756406i | −0.0331892 | + | 0.0241133i | ||||
\(985\) | 19.6696 | − | 14.2908i | 0.626724 | − | 0.455342i | ||||
\(986\) | 0.258322 | + | 0.795033i | 0.00822665 | + | 0.0253190i | ||||
\(987\) | −0.991186 | + | 3.05056i | −0.0315498 | + | 0.0971003i | ||||
\(988\) | 4.23528 | + | 3.07711i | 0.134742 | + | 0.0978960i | ||||
\(989\) | −56.6118 | −1.80015 | ||||||||
\(990\) | 16.1263 | + | 14.1841i | 0.512528 | + | 0.450801i | ||||
\(991\) | −22.2935 | −0.708177 | −0.354089 | − | 0.935212i | \(-0.615209\pi\) | ||||
−0.354089 | + | 0.935212i | \(0.615209\pi\) | |||||||
\(992\) | 2.64494 | + | 1.92166i | 0.0839771 | + | 0.0610129i | ||||
\(993\) | 0.522065 | − | 1.60675i | 0.0165672 | − | 0.0509887i | ||||
\(994\) | 4.53123 | + | 13.9457i | 0.143722 | + | 0.442331i | ||||
\(995\) | 27.0433 | − | 19.6481i | 0.857329 | − | 0.622886i | ||||
\(996\) | −1.35686 | + | 0.985814i | −0.0429937 | + | 0.0312367i | ||||
\(997\) | −6.56018 | − | 20.1902i | −0.207763 | − | 0.639429i | −0.999589 | − | 0.0286814i | \(-0.990869\pi\) |
0.791826 | − | 0.610747i | \(-0.209131\pi\) | |||||||
\(998\) | 3.14563 | − | 9.68125i | 0.0995732 | − | 0.306455i | ||||
\(999\) | 4.12881 | + | 2.99975i | 0.130630 | + | 0.0949080i |
(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 | 418.2.f.h.191.3 | ✓ | 20 | |
11.3 | even | 5 | inner | 418.2.f.h.267.3 | yes | 20 | |
11.5 | even | 5 | 4598.2.a.cc.1.5 | 10 | |||
11.6 | odd | 10 | 4598.2.a.cd.1.5 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.f.h.191.3 | ✓ | 20 | 1.1 | even | 1 | trivial | |
418.2.f.h.267.3 | yes | 20 | 11.3 | even | 5 | inner | |
4598.2.a.cc.1.5 | 10 | 11.5 | even | 5 | |||
4598.2.a.cd.1.5 | 10 | 11.6 | odd | 10 |