Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1026,2,Mod(343,1026)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1026, base_ring=CyclotomicField(6))
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("1026.343");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1026 = 2 \cdot 3^{3} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1026.e (of order \(3\), degree \(2\), not 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: | \(8.19265124738\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 8x^{10} + 55x^{8} - 2x^{7} + 70x^{6} - 32x^{5} + 73x^{4} - 18x^{3} + 13x^{2} + 2x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 3^{6} \) |
Twist minimal: | no (minimal twist has level 342) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 685.4 | ||
Root | \(-0.122364 - 0.211941i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1026.685 |
Dual form | 1026.2.e.d.343.4 |
$q$-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 \(\left(\mathbb{Z}/1026\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | 0.573032 | − | 0.992520i | 0.256267 | − | 0.443868i | −0.708972 | − | 0.705237i | \(-0.750841\pi\) |
0.965239 | + | 0.261369i | \(0.0841739\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.817447 | + | 1.41586i | 0.308966 | + | 0.535144i | 0.978136 | − | 0.207964i | \(-0.0666838\pi\) |
−0.669171 | + | 0.743109i | \(0.733350\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.14606 | 0.362417 | ||||||||
\(11\) | 1.10449 | + | 1.91303i | 0.333017 | + | 0.576802i | 0.983102 | − | 0.183060i | \(-0.0586001\pi\) |
−0.650085 | + | 0.759861i | \(0.725267\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.18454 | + | 3.78373i | −0.605882 | + | 1.04942i | 0.386029 | + | 0.922486i | \(0.373846\pi\) |
−0.991911 | + | 0.126932i | \(0.959487\pi\) | |||||||
\(14\) | −0.817447 | + | 1.41586i | −0.218472 | + | 0.378404i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.42591 | 0.345834 | 0.172917 | − | 0.984936i | \(-0.444681\pi\) | ||||
0.172917 | + | 0.984936i | \(0.444681\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.00000 | −0.229416 | ||||||||
\(20\) | 0.573032 | + | 0.992520i | 0.128134 | + | 0.221934i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.10449 | + | 1.91303i | −0.235478 | + | 0.407860i | ||||
\(23\) | 2.16859 | − | 3.75611i | 0.452183 | − | 0.783204i | −0.546339 | − | 0.837564i | \(-0.683979\pi\) |
0.998521 | + | 0.0543609i | \(0.0173121\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.84327 | + | 3.19264i | 0.368654 | + | 0.638527i | ||||
\(26\) | −4.36908 | −0.856847 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.63489 | −0.308966 | ||||||||
\(29\) | 0.700052 | + | 1.21253i | 0.129996 | + | 0.225160i | 0.923675 | − | 0.383177i | \(-0.125170\pi\) |
−0.793679 | + | 0.608337i | \(0.791837\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.66575 | + | 6.34926i | −0.658388 | + | 1.14036i | 0.322645 | + | 0.946520i | \(0.395428\pi\) |
−0.981033 | + | 0.193841i | \(0.937905\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.712956 | + | 1.23488i | 0.122271 | + | 0.211779i | ||||
\(35\) | 1.87369 | 0.316712 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.94627 | 1.14196 | 0.570980 | − | 0.820964i | \(-0.306563\pi\) | ||||
0.570980 | + | 0.820964i | \(0.306563\pi\) | |||||||
\(38\) | −0.500000 | − | 0.866025i | −0.0811107 | − | 0.140488i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.573032 | + | 0.992520i | −0.0906042 | + | 0.156931i | ||||
\(41\) | −2.64018 | + | 4.57292i | −0.412326 | + | 0.714170i | −0.995144 | − | 0.0984333i | \(-0.968617\pi\) |
0.582818 | + | 0.812603i | \(0.301950\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.37956 | + | 7.58562i | 0.667877 | + | 1.15680i | 0.978497 | + | 0.206262i | \(0.0661300\pi\) |
−0.310620 | + | 0.950534i | \(0.600537\pi\) | |||||||
\(44\) | −2.20898 | −0.333017 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.33718 | 0.639483 | ||||||||
\(47\) | 1.53629 | + | 2.66093i | 0.224091 | + | 0.388137i | 0.956046 | − | 0.293216i | \(-0.0947254\pi\) |
−0.731955 | + | 0.681353i | \(0.761392\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.16356 | − | 3.74740i | 0.309080 | − | 0.535343i | ||||
\(50\) | −1.84327 | + | 3.19264i | −0.260678 | + | 0.451507i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.18454 | − | 3.78373i | −0.302941 | − | 0.524709i | ||||
\(53\) | −5.16929 | −0.710056 | −0.355028 | − | 0.934856i | \(-0.615529\pi\) | ||||
−0.355028 | + | 0.934856i | \(0.615529\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.53163 | 0.341365 | ||||||||
\(56\) | −0.817447 | − | 1.41586i | −0.109236 | − | 0.189202i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.700052 | + | 1.21253i | −0.0919213 | + | 0.159212i | ||||
\(59\) | 0.653079 | − | 1.13117i | 0.0850236 | − | 0.147265i | −0.820378 | − | 0.571822i | \(-0.806237\pi\) |
0.905401 | + | 0.424557i | \(0.139570\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.535684 | + | 0.927832i | 0.0685873 | + | 0.118797i | 0.898280 | − | 0.439424i | \(-0.144817\pi\) |
−0.829692 | + | 0.558221i | \(0.811484\pi\) | |||||||
\(62\) | −7.33149 | −0.931101 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 2.50362 | + | 4.33639i | 0.310536 | + | 0.537864i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.57079 | + | 6.18479i | −0.436242 | + | 0.755593i | −0.997396 | − | 0.0721184i | \(-0.977024\pi\) |
0.561154 | + | 0.827711i | \(0.310357\pi\) | |||||||
\(68\) | −0.712956 | + | 1.23488i | −0.0864586 | + | 0.149751i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.936845 | + | 1.62266i | 0.111974 | + | 0.193945i | ||||
\(71\) | −12.0806 | −1.43370 | −0.716849 | − | 0.697228i | \(-0.754416\pi\) | ||||
−0.716849 | + | 0.697228i | \(0.754416\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.78533 | 0.794163 | 0.397081 | − | 0.917783i | \(-0.370023\pi\) | ||||
0.397081 | + | 0.917783i | \(0.370023\pi\) | |||||||
\(74\) | 3.47314 | + | 6.01565i | 0.403744 | + | 0.699305i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.500000 | − | 0.866025i | 0.0573539 | − | 0.0993399i | ||||
\(77\) | −1.80573 | + | 3.12761i | −0.205781 | + | 0.356424i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.40433 | − | 9.36057i | −0.608034 | − | 1.05315i | −0.991564 | − | 0.129618i | \(-0.958625\pi\) |
0.383530 | − | 0.923529i | \(-0.374708\pi\) | |||||||
\(80\) | −1.14606 | −0.128134 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.28035 | −0.583117 | ||||||||
\(83\) | −2.59860 | − | 4.50091i | −0.285234 | − | 0.494039i | 0.687432 | − | 0.726249i | \(-0.258738\pi\) |
−0.972666 | + | 0.232209i | \(0.925405\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.817092 | − | 1.41524i | 0.0886261 | − | 0.153505i | ||||
\(86\) | −4.37956 | + | 7.58562i | −0.472260 | + | 0.817978i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.10449 | − | 1.91303i | −0.117739 | − | 0.203930i | ||||
\(89\) | 7.62362 | 0.808102 | 0.404051 | − | 0.914736i | \(-0.367602\pi\) | ||||
0.404051 | + | 0.914736i | \(0.367602\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.14298 | −0.748787 | ||||||||
\(92\) | 2.16859 | + | 3.75611i | 0.226091 | + | 0.391602i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.53629 | + | 2.66093i | −0.158456 | + | 0.274454i | ||||
\(95\) | −0.573032 | + | 0.992520i | −0.0587918 | + | 0.101830i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.77317 | − | 13.4635i | −0.789246 | − | 1.36701i | −0.926429 | − | 0.376468i | \(-0.877138\pi\) |
0.137184 | − | 0.990546i | \(-0.456195\pi\) | |||||||
\(98\) | 4.32712 | 0.437105 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.68654 | −0.368654 | ||||||||
\(101\) | −3.96265 | − | 6.86352i | −0.394299 | − | 0.682945i | 0.598713 | − | 0.800964i | \(-0.295679\pi\) |
−0.993011 | + | 0.118018i | \(0.962346\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.17163 | − | 3.76138i | 0.213978 | − | 0.370620i | −0.738978 | − | 0.673729i | \(-0.764691\pi\) |
0.952956 | + | 0.303109i | \(0.0980247\pi\) | |||||||
\(104\) | 2.18454 | − | 3.78373i | 0.214212 | − | 0.371025i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.58464 | − | 4.47673i | −0.251043 | − | 0.434819i | ||||
\(107\) | 4.42033 | 0.427329 | 0.213665 | − | 0.976907i | \(-0.431460\pi\) | ||||
0.213665 | + | 0.976907i | \(0.431460\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 18.5327 | 1.77511 | 0.887554 | − | 0.460704i | \(-0.152403\pi\) | ||||
0.887554 | + | 0.460704i | \(0.152403\pi\) | |||||||
\(110\) | 1.26582 | + | 2.19246i | 0.120691 | + | 0.209043i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.817447 | − | 1.41586i | 0.0772415 | − | 0.133786i | ||||
\(113\) | −5.17058 | + | 8.95570i | −0.486407 | + | 0.842482i | −0.999878 | − | 0.0156253i | \(-0.995026\pi\) |
0.513471 | + | 0.858107i | \(0.328359\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.48534 | − | 4.30474i | −0.231759 | − | 0.401419i | ||||
\(116\) | −1.40010 | −0.129996 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.30616 | 0.120242 | ||||||||
\(119\) | 1.16561 | + | 2.01889i | 0.106851 | + | 0.185071i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.06020 | − | 5.30042i | 0.278200 | − | 0.481856i | ||||
\(122\) | −0.535684 | + | 0.927832i | −0.0484986 | + | 0.0840020i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.66575 | − | 6.34926i | −0.329194 | − | 0.570180i | ||||
\(125\) | 9.95532 | 0.890431 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.15572 | 0.723703 | 0.361852 | − | 0.932236i | \(-0.382145\pi\) | ||||
0.361852 | + | 0.932236i | \(0.382145\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.50362 | + | 4.33639i | −0.219582 | + | 0.380327i | ||||
\(131\) | 2.86864 | − | 4.96864i | 0.250635 | − | 0.434112i | −0.713066 | − | 0.701097i | \(-0.752694\pi\) |
0.963701 | + | 0.266985i | \(0.0860274\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.817447 | − | 1.41586i | −0.0708816 | − | 0.122771i | ||||
\(134\) | −7.14158 | −0.616939 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.42591 | −0.122271 | ||||||||
\(137\) | −10.5788 | − | 18.3230i | −0.903808 | − | 1.56544i | −0.822509 | − | 0.568752i | \(-0.807426\pi\) |
−0.0812995 | − | 0.996690i | \(-0.525907\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.18089 | + | 15.9018i | −0.778713 | + | 1.34877i | 0.153971 | + | 0.988075i | \(0.450794\pi\) |
−0.932684 | + | 0.360695i | \(0.882540\pi\) | |||||||
\(140\) | −0.936845 | + | 1.62266i | −0.0791779 | + | 0.137140i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −6.04028 | − | 10.4621i | −0.506889 | − | 0.877957i | ||||
\(143\) | −9.65121 | −0.807075 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.60461 | 0.133255 | ||||||||
\(146\) | 3.39266 | + | 5.87627i | 0.280779 | + | 0.486323i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.47314 | + | 6.01565i | −0.285490 | + | 0.494483i | ||||
\(149\) | 10.1991 | − | 17.6653i | 0.835541 | − | 1.44720i | −0.0580476 | − | 0.998314i | \(-0.518488\pi\) |
0.893589 | − | 0.448886i | \(-0.148179\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 7.11165 | + | 12.3177i | 0.578738 | + | 1.00240i | 0.995624 | + | 0.0934447i | \(0.0297878\pi\) |
−0.416887 | + | 0.908958i | \(0.636879\pi\) | |||||||
\(152\) | 1.00000 | 0.0811107 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.61145 | −0.291019 | ||||||||
\(155\) | 4.20118 | + | 7.27665i | 0.337447 | + | 0.584475i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.979456 | − | 1.69647i | 0.0781691 | − | 0.135393i | −0.824291 | − | 0.566166i | \(-0.808426\pi\) |
0.902460 | + | 0.430774i | \(0.141759\pi\) | |||||||
\(158\) | 5.40433 | − | 9.36057i | 0.429945 | − | 0.744687i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.573032 | − | 0.992520i | −0.0453021 | − | 0.0784656i | ||||
\(161\) | 7.09083 | 0.558836 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.31174 | 0.337722 | 0.168861 | − | 0.985640i | \(-0.445991\pi\) | ||||
0.168861 | + | 0.985640i | \(0.445991\pi\) | |||||||
\(164\) | −2.64018 | − | 4.57292i | −0.206163 | − | 0.357085i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.59860 | − | 4.50091i | 0.201691 | − | 0.349339i | ||||
\(167\) | 2.47885 | − | 4.29349i | 0.191819 | − | 0.332241i | −0.754034 | − | 0.656835i | \(-0.771895\pi\) |
0.945853 | + | 0.324595i | \(0.105228\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.04442 | − | 5.27309i | −0.234186 | − | 0.405622i | ||||
\(170\) | 1.63418 | 0.125336 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −8.75912 | −0.667877 | ||||||||
\(173\) | −6.55059 | − | 11.3460i | −0.498032 | − | 0.862617i | 0.501965 | − | 0.864888i | \(-0.332610\pi\) |
−0.999997 | + | 0.00227090i | \(0.999277\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.01355 | + | 5.21962i | −0.227803 | + | 0.394566i | ||||
\(176\) | 1.10449 | − | 1.91303i | 0.0832541 | − | 0.144200i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.81181 | + | 6.60225i | 0.285707 | + | 0.494859i | ||||
\(179\) | 12.2984 | 0.919224 | 0.459612 | − | 0.888120i | \(-0.347988\pi\) | ||||
0.459612 | + | 0.888120i | \(0.347988\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.39563 | −0.103736 | −0.0518680 | − | 0.998654i | \(-0.516518\pi\) | ||||
−0.0518680 | + | 0.998654i | \(0.516518\pi\) | |||||||
\(182\) | −3.57149 | − | 6.18600i | −0.264736 | − | 0.458537i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.16859 | + | 3.75611i | −0.159871 | + | 0.276904i | ||||
\(185\) | 3.98043 | − | 6.89431i | 0.292647 | − | 0.506880i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.57491 | + | 2.72782i | 0.115169 | + | 0.199478i | ||||
\(188\) | −3.07258 | −0.224091 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.14606 | −0.0831441 | ||||||||
\(191\) | −0.0522362 | − | 0.0904757i | −0.00377968 | − | 0.00654659i | 0.864129 | − | 0.503270i | \(-0.167870\pi\) |
−0.867909 | + | 0.496723i | \(0.834536\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.4870 | − | 18.1640i | 0.754870 | − | 1.30747i | −0.190570 | − | 0.981674i | \(-0.561033\pi\) |
0.945439 | − | 0.325799i | \(-0.105633\pi\) | |||||||
\(194\) | 7.77317 | − | 13.4635i | 0.558081 | − | 0.966625i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.16356 | + | 3.74740i | 0.154540 | + | 0.267671i | ||||
\(197\) | −21.4751 | −1.53004 | −0.765018 | − | 0.644009i | \(-0.777270\pi\) | ||||
−0.765018 | + | 0.644009i | \(0.777270\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.38880 | 0.452890 | 0.226445 | − | 0.974024i | \(-0.427290\pi\) | ||||
0.226445 | + | 0.974024i | \(0.427290\pi\) | |||||||
\(200\) | −1.84327 | − | 3.19264i | −0.130339 | − | 0.225754i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.96265 | − | 6.86352i | 0.278811 | − | 0.482915i | ||||
\(203\) | −1.14451 | + | 1.98235i | −0.0803289 | + | 0.139134i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.02581 | + | 5.24085i | 0.211332 | + | 0.366037i | ||||
\(206\) | 4.34327 | 0.302610 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.36908 | 0.302941 | ||||||||
\(209\) | −1.10449 | − | 1.91303i | −0.0763992 | − | 0.132327i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.151291 | − | 0.262044i | 0.0104153 | − | 0.0180398i | −0.860771 | − | 0.508993i | \(-0.830018\pi\) |
0.871186 | + | 0.490953i | \(0.163351\pi\) | |||||||
\(212\) | 2.58464 | − | 4.47673i | 0.177514 | − | 0.307463i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.21016 | + | 3.82812i | 0.151084 | + | 0.261685i | ||||
\(215\) | 10.0385 | 0.684620 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −11.9862 | −0.813677 | ||||||||
\(218\) | 9.26634 | + | 16.0498i | 0.627595 | + | 1.08703i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.26582 | + | 2.19246i | −0.0853413 | + | 0.147816i | ||||
\(221\) | −3.11496 | + | 5.39527i | −0.209535 | + | 0.362925i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −10.8305 | − | 18.7590i | −0.725263 | − | 1.25619i | −0.958866 | − | 0.283860i | \(-0.908385\pi\) |
0.233602 | − | 0.972332i | \(-0.424949\pi\) | |||||||
\(224\) | 1.63489 | 0.109236 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.3412 | −0.687883 | ||||||||
\(227\) | 3.75429 | + | 6.50262i | 0.249181 | + | 0.431594i | 0.963299 | − | 0.268431i | \(-0.0865052\pi\) |
−0.714118 | + | 0.700026i | \(0.753172\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.05764 | − | 5.29598i | 0.202054 | − | 0.349968i | −0.747136 | − | 0.664671i | \(-0.768572\pi\) |
0.949190 | + | 0.314703i | \(0.101905\pi\) | |||||||
\(230\) | 2.48534 | − | 4.30474i | 0.163879 | − | 0.283846i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.700052 | − | 1.21253i | −0.0459607 | − | 0.0796062i | ||||
\(233\) | 25.3810 | 1.66277 | 0.831383 | − | 0.555700i | \(-0.187550\pi\) | ||||
0.831383 | + | 0.555700i | \(0.187550\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.52137 | 0.229709 | ||||||||
\(236\) | 0.653079 | + | 1.13117i | 0.0425118 | + | 0.0736326i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.16561 | + | 2.01889i | −0.0755550 | + | 0.130865i | ||||
\(239\) | 3.08704 | − | 5.34692i | 0.199684 | − | 0.345863i | −0.748742 | − | 0.662862i | \(-0.769342\pi\) |
0.948426 | + | 0.316999i | \(0.102675\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.91630 | − | 10.2473i | −0.381102 | − | 0.660089i | 0.610118 | − | 0.792311i | \(-0.291122\pi\) |
−0.991220 | + | 0.132222i | \(0.957789\pi\) | |||||||
\(242\) | 6.12040 | 0.393434 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.07137 | −0.0685873 | ||||||||
\(245\) | −2.47958 | − | 4.29476i | −0.158414 | − | 0.274382i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.18454 | − | 3.78373i | 0.138999 | − | 0.240753i | ||||
\(248\) | 3.66575 | − | 6.34926i | 0.232775 | − | 0.403178i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 4.97766 | + | 8.62156i | 0.314815 | + | 0.545275i | ||||
\(251\) | 29.5694 | 1.86640 | 0.933201 | − | 0.359354i | \(-0.117003\pi\) | ||||
0.933201 | + | 0.359354i | \(0.117003\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.58076 | 0.602337 | ||||||||
\(254\) | 4.07786 | + | 7.06306i | 0.255868 | + | 0.443176i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −14.1387 | + | 24.4889i | −0.881948 | + | 1.52758i | −0.0327753 | + | 0.999463i | \(0.510435\pi\) |
−0.849172 | + | 0.528116i | \(0.822899\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.67821 | + | 9.83494i | 0.352827 | + | 0.611114i | ||||
\(260\) | −5.00724 | −0.310536 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 5.73729 | 0.354451 | ||||||||
\(263\) | −7.44756 | − | 12.8996i | −0.459236 | − | 0.795421i | 0.539684 | − | 0.841867i | \(-0.318544\pi\) |
−0.998921 | + | 0.0464466i | \(0.985210\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.96216 | + | 5.13062i | −0.181964 | + | 0.315171i | ||||
\(266\) | 0.817447 | − | 1.41586i | 0.0501209 | − | 0.0868119i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.57079 | − | 6.18479i | −0.218121 | − | 0.377796i | ||||
\(269\) | 28.5720 | 1.74206 | 0.871032 | − | 0.491227i | \(-0.163451\pi\) | ||||
0.871032 | + | 0.491227i | \(0.163451\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −17.7114 | −1.07589 | −0.537947 | − | 0.842979i | \(-0.680800\pi\) | ||||
−0.537947 | + | 0.842979i | \(0.680800\pi\) | |||||||
\(272\) | −0.712956 | − | 1.23488i | −0.0432293 | − | 0.0748753i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 10.5788 | − | 18.3230i | 0.639089 | − | 1.10693i | ||||
\(275\) | −4.07175 | + | 7.05248i | −0.245536 | + | 0.425280i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.37956 | − | 14.5138i | −0.503479 | − | 0.872051i | −0.999992 | − | 0.00402182i | \(-0.998720\pi\) |
0.496513 | − | 0.868029i | \(-0.334614\pi\) | |||||||
\(278\) | −18.3618 | −1.10127 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.87369 | −0.111974 | ||||||||
\(281\) | −2.02850 | − | 3.51347i | −0.121010 | − | 0.209596i | 0.799156 | − | 0.601124i | \(-0.205280\pi\) |
−0.920166 | + | 0.391528i | \(0.871947\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.69303 | + | 16.7888i | −0.576191 | + | 0.997992i | 0.419720 | + | 0.907654i | \(0.362128\pi\) |
−0.995911 | + | 0.0903385i | \(0.971205\pi\) | |||||||
\(284\) | 6.04028 | − | 10.4621i | 0.358425 | − | 0.620810i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −4.82561 | − | 8.35820i | −0.285344 | − | 0.494230i | ||||
\(287\) | −8.63281 | −0.509579 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.9668 | −0.880399 | ||||||||
\(290\) | 0.802304 | + | 1.38963i | 0.0471129 | + | 0.0816019i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.39266 | + | 5.87627i | −0.198541 | + | 0.343882i | ||||
\(293\) | −0.515513 | + | 0.892896i | −0.0301166 | + | 0.0521635i | −0.880691 | − | 0.473691i | \(-0.842921\pi\) |
0.850574 | + | 0.525855i | \(0.176255\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.748470 | − | 1.29639i | −0.0435776 | − | 0.0754786i | ||||
\(296\) | −6.94627 | −0.403744 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 20.3982 | 1.18163 | ||||||||
\(299\) | 9.47475 | + | 16.4107i | 0.547939 | + | 0.949058i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −7.16011 | + | 12.4017i | −0.412702 | + | 0.714821i | ||||
\(302\) | −7.11165 | + | 12.3177i | −0.409229 | + | 0.708806i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.500000 | + | 0.866025i | 0.0286770 | + | 0.0496700i | ||||
\(305\) | 1.22786 | 0.0703068 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.79051 | −0.501701 | −0.250850 | − | 0.968026i | \(-0.580710\pi\) | ||||
−0.250850 | + | 0.968026i | \(0.580710\pi\) | |||||||
\(308\) | −1.80573 | − | 3.12761i | −0.102891 | − | 0.178212i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.20118 | + | 7.27665i | −0.238611 | + | 0.413286i | ||||
\(311\) | −15.1997 | + | 26.3266i | −0.861895 | + | 1.49285i | 0.00820248 | + | 0.999966i | \(0.497389\pi\) |
−0.870098 | + | 0.492880i | \(0.835944\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.531531 | − | 0.920638i | −0.0300439 | − | 0.0520375i | 0.850613 | − | 0.525793i | \(-0.176231\pi\) |
−0.880656 | + | 0.473756i | \(0.842898\pi\) | |||||||
\(314\) | 1.95891 | 0.110548 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 10.8087 | 0.608034 | ||||||||
\(317\) | −8.30479 | − | 14.3843i | −0.466444 | − | 0.807904i | 0.532822 | − | 0.846228i | \(-0.321132\pi\) |
−0.999265 | + | 0.0383233i | \(0.987798\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.54640 | + | 2.67845i | −0.0865819 | + | 0.149964i | ||||
\(320\) | 0.573032 | − | 0.992520i | 0.0320334 | − | 0.0554835i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.54542 | + | 6.14084i | 0.197578 | + | 0.342216i | ||||
\(323\) | −1.42591 | −0.0793398 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −16.1068 | −0.893443 | ||||||||
\(326\) | 2.15587 | + | 3.73408i | 0.119403 | + | 0.206811i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.64018 | − | 4.57292i | 0.145779 | − | 0.252497i | ||||
\(329\) | −2.51167 | + | 4.35034i | −0.138473 | + | 0.239842i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.36543 | − | 14.4893i | −0.459805 | − | 0.796406i | 0.539145 | − | 0.842213i | \(-0.318748\pi\) |
−0.998950 | + | 0.0458067i | \(0.985414\pi\) | |||||||
\(332\) | 5.19721 | 0.285234 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.95770 | 0.271273 | ||||||||
\(335\) | 4.09235 | + | 7.08816i | 0.223589 | + | 0.387268i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 15.7918 | − | 27.3523i | 0.860237 | − | 1.48997i | −0.0114634 | − | 0.999934i | \(-0.503649\pi\) |
0.871700 | − | 0.490040i | \(-0.163018\pi\) | |||||||
\(338\) | 3.04442 | − | 5.27309i | 0.165594 | − | 0.286818i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.817092 | + | 1.41524i | 0.0443130 | + | 0.0767524i | ||||
\(341\) | −16.1951 | −0.877016 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.5186 | 0.999913 | ||||||||
\(344\) | −4.37956 | − | 7.58562i | −0.236130 | − | 0.408989i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.55059 | − | 11.3460i | 0.352162 | − | 0.609962i | ||||
\(347\) | 17.2828 | − | 29.9347i | 0.927789 | − | 1.60698i | 0.140776 | − | 0.990042i | \(-0.455040\pi\) |
0.787013 | − | 0.616936i | \(-0.211626\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.51645 | − | 4.35862i | −0.134703 | − | 0.233312i | 0.790781 | − | 0.612099i | \(-0.209675\pi\) |
−0.925484 | + | 0.378787i | \(0.876341\pi\) | |||||||
\(350\) | −6.02710 | −0.322162 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.20898 | 0.117739 | ||||||||
\(353\) | −0.814604 | − | 1.41094i | −0.0433570 | − | 0.0750966i | 0.843533 | − | 0.537078i | \(-0.180472\pi\) |
−0.886890 | + | 0.461982i | \(0.847139\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.92254 | + | 11.9902i | −0.367410 | + | 0.636373i | ||||
\(356\) | −3.81181 | + | 6.60225i | −0.202026 | + | 0.349918i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.14919 | + | 10.6507i | 0.324995 | + | 0.562908i | ||||
\(359\) | −2.96052 | −0.156250 | −0.0781252 | − | 0.996944i | \(-0.524893\pi\) | ||||
−0.0781252 | + | 0.996944i | \(0.524893\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −0.697813 | − | 1.20865i | −0.0366762 | − | 0.0635251i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.57149 | − | 6.18600i | 0.187197 | − | 0.324234i | ||||
\(365\) | 3.88821 | − | 6.73457i | 0.203518 | − | 0.352504i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 14.1162 | + | 24.4500i | 0.736862 | + | 1.27628i | 0.953902 | + | 0.300119i | \(0.0970265\pi\) |
−0.217040 | + | 0.976163i | \(0.569640\pi\) | |||||||
\(368\) | −4.33718 | −0.226091 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 7.96086 | 0.413866 | ||||||||
\(371\) | −4.22562 | − | 7.31898i | −0.219383 | − | 0.379983i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.93227 | − | 8.54294i | 0.255383 | − | 0.442336i | −0.709616 | − | 0.704588i | \(-0.751132\pi\) |
0.964999 | + | 0.262252i | \(0.0844651\pi\) | |||||||
\(374\) | −1.57491 | + | 2.72782i | −0.0814365 | + | 0.141052i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.53629 | − | 2.66093i | −0.0792281 | − | 0.137227i | ||||
\(377\) | −6.11716 | −0.315050 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.36079 | −0.223999 | −0.111999 | − | 0.993708i | \(-0.535725\pi\) | ||||
−0.111999 | + | 0.993708i | \(0.535725\pi\) | |||||||
\(380\) | −0.573032 | − | 0.992520i | −0.0293959 | − | 0.0509152i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.0522362 | − | 0.0904757i | 0.00267263 | − | 0.00462914i | ||||
\(383\) | −16.6855 | + | 28.9001i | −0.852588 | + | 1.47673i | 0.0262761 | + | 0.999655i | \(0.491635\pi\) |
−0.878864 | + | 0.477072i | \(0.841698\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.06947 | + | 3.58444i | 0.105470 | + | 0.182680i | ||||
\(386\) | 20.9740 | 1.06755 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 15.5463 | 0.789246 | ||||||||
\(389\) | −6.61771 | − | 11.4622i | −0.335531 | − | 0.581157i | 0.648056 | − | 0.761593i | \(-0.275582\pi\) |
−0.983587 | + | 0.180436i | \(0.942249\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.09222 | − | 5.35588i | 0.156380 | − | 0.270859i | ||||
\(392\) | −2.16356 | + | 3.74740i | −0.109276 | + | 0.189272i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −10.7375 | − | 18.5980i | −0.540949 | − | 0.936952i | ||||
\(395\) | −12.3874 | −0.623278 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 27.6615 | 1.38829 | 0.694145 | − | 0.719835i | \(-0.255783\pi\) | ||||
0.694145 | + | 0.719835i | \(0.255783\pi\) | |||||||
\(398\) | 3.19440 | + | 5.53286i | 0.160121 | + | 0.277337i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.84327 | − | 3.19264i | 0.0921635 | − | 0.159632i | ||||
\(401\) | 3.90931 | − | 6.77112i | 0.195221 | − | 0.338133i | −0.751752 | − | 0.659446i | \(-0.770791\pi\) |
0.946973 | + | 0.321313i | \(0.104124\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −16.0159 | − | 27.7404i | −0.797810 | − | 1.38185i | ||||
\(404\) | 7.92531 | 0.394299 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.28902 | −0.113602 | ||||||||
\(407\) | 7.67209 | + | 13.2885i | 0.380292 | + | 0.658684i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.80320 | + | 16.9796i | −0.484737 | + | 0.839589i | −0.999846 | − | 0.0175352i | \(-0.994418\pi\) |
0.515109 | + | 0.857125i | \(0.327751\pi\) | |||||||
\(410\) | −3.02581 | + | 5.24085i | −0.149434 | + | 0.258827i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.17163 | + | 3.76138i | 0.106989 | + | 0.185310i | ||||
\(413\) | 2.13543 | 0.105078 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.95633 | −0.292385 | ||||||||
\(416\) | 2.18454 | + | 3.78373i | 0.107106 | + | 0.185513i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.10449 | − | 1.91303i | 0.0540224 | − | 0.0935696i | ||||
\(419\) | 6.59852 | − | 11.4290i | 0.322359 | − | 0.558342i | −0.658615 | − | 0.752480i | \(-0.728858\pi\) |
0.980974 | + | 0.194138i | \(0.0621909\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.1960 | + | 26.3202i | 0.740606 | + | 1.28277i | 0.952220 | + | 0.305414i | \(0.0987949\pi\) |
−0.211613 | + | 0.977353i | \(0.567872\pi\) | |||||||
\(422\) | 0.302582 | 0.0147295 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.16929 | 0.251043 | ||||||||
\(425\) | 2.62834 | + | 4.55242i | 0.127493 | + | 0.220825i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.875787 | + | 1.51691i | −0.0423823 | + | 0.0734083i | ||||
\(428\) | −2.21016 | + | 3.82812i | −0.106832 | + | 0.185039i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.01925 | + | 8.69360i | 0.242050 | + | 0.419243i | ||||
\(431\) | 12.2675 | 0.590903 | 0.295452 | − | 0.955358i | \(-0.404530\pi\) | ||||
0.295452 | + | 0.955358i | \(0.404530\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −3.30259 | −0.158712 | −0.0793561 | − | 0.996846i | \(-0.525286\pi\) | ||||
−0.0793561 | + | 0.996846i | \(0.525286\pi\) | |||||||
\(434\) | −5.99311 | − | 10.3804i | −0.287678 | − | 0.498273i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.26634 | + | 16.0498i | −0.443777 | + | 0.768644i | ||||
\(437\) | −2.16859 | + | 3.75611i | −0.103738 | + | 0.179679i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.4785 | − | 18.1493i | −0.500112 | − | 0.866220i | −1.00000 | 0.000129598i | \(-0.999959\pi\) | |
0.499888 | − | 0.866090i | \(-0.333375\pi\) | |||||||
\(440\) | −2.53163 | −0.120691 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.22992 | −0.296327 | ||||||||
\(443\) | 17.4811 | + | 30.2782i | 0.830554 | + | 1.43856i | 0.897599 | + | 0.440812i | \(0.145310\pi\) |
−0.0670450 | + | 0.997750i | \(0.521357\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.36857 | − | 7.56659i | 0.207090 | − | 0.358691i | ||||
\(446\) | 10.8305 | − | 18.7590i | 0.512838 | − | 0.888262i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.817447 | + | 1.41586i | 0.0386207 | + | 0.0668931i | ||||
\(449\) | −12.8844 | −0.608055 | −0.304027 | − | 0.952663i | \(-0.598331\pi\) | ||||
−0.304027 | + | 0.952663i | \(0.598331\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.6642 | −0.549246 | ||||||||
\(452\) | −5.17058 | − | 8.95570i | −0.243204 | − | 0.421241i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.75429 | + | 6.50262i | −0.176198 | + | 0.305183i | ||||
\(455\) | −4.09315 | + | 7.08954i | −0.191890 | + | 0.332363i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.35841 | + | 2.35284i | 0.0635439 | + | 0.110061i | 0.896047 | − | 0.443959i | \(-0.146426\pi\) |
−0.832503 | + | 0.554020i | \(0.813093\pi\) | |||||||
\(458\) | 6.11527 | 0.285748 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.97069 | 0.231759 | ||||||||
\(461\) | −1.83407 | − | 3.17670i | −0.0854211 | − | 0.147954i | 0.820149 | − | 0.572149i | \(-0.193890\pi\) |
−0.905571 | + | 0.424196i | \(0.860557\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.14975 | + | 10.6517i | −0.285803 | + | 0.495025i | −0.972804 | − | 0.231632i | \(-0.925594\pi\) |
0.687001 | + | 0.726657i | \(0.258927\pi\) | |||||||
\(464\) | 0.700052 | − | 1.21253i | 0.0324991 | − | 0.0562901i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 12.6905 | + | 21.9806i | 0.587877 | + | 1.01823i | ||||
\(467\) | −17.4976 | −0.809693 | −0.404847 | − | 0.914385i | \(-0.632675\pi\) | ||||
−0.404847 | + | 0.914385i | \(0.632675\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −11.6757 | −0.539135 | ||||||||
\(470\) | 1.76069 | + | 3.04960i | 0.0812144 | + | 0.140667i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.653079 | + | 1.13117i | −0.0300604 | + | 0.0520661i | ||||
\(473\) | −9.67437 | + | 16.7565i | −0.444828 | + | 0.770465i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.84327 | − | 3.19264i | −0.0845750 | − | 0.146488i | ||||
\(476\) | −2.33121 | −0.106851 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.17409 | 0.282396 | ||||||||
\(479\) | −5.75981 | − | 9.97628i | −0.263172 | − | 0.455828i | 0.703911 | − | 0.710288i | \(-0.251435\pi\) |
−0.967083 | + | 0.254461i | \(0.918102\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.1744 | + | 26.2828i | −0.691893 | + | 1.19839i | ||||
\(482\) | 5.91630 | − | 10.2473i | 0.269480 | − | 0.466753i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.06020 | + | 5.30042i | 0.139100 | + | 0.240928i | ||||
\(485\) | −17.8171 | −0.809032 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −31.3219 | −1.41933 | −0.709666 | − | 0.704538i | \(-0.751154\pi\) | ||||
−0.709666 | + | 0.704538i | \(0.751154\pi\) | |||||||
\(488\) | −0.535684 | − | 0.927832i | −0.0242493 | − | 0.0420010i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.47958 | − | 4.29476i | 0.112016 | − | 0.194017i | ||||
\(491\) | −18.1009 | + | 31.3517i | −0.816883 | + | 1.41488i | 0.0910845 | + | 0.995843i | \(0.470967\pi\) |
−0.907968 | + | 0.419040i | \(0.862367\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.998212 | + | 1.72895i | 0.0449572 | + | 0.0778682i | ||||
\(494\) | 4.36908 | 0.196574 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 7.33149 | 0.329194 | ||||||||
\(497\) | −9.87521 | − | 17.1044i | −0.442964 | − | 0.767236i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 6.93596 | − | 12.0134i | 0.310496 | − | 0.537795i | −0.667974 | − | 0.744185i | \(-0.732838\pi\) |
0.978470 | + | 0.206390i | \(0.0661714\pi\) | |||||||
\(500\) | −4.97766 | + | 8.62156i | −0.222608 | + | 0.385568i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 14.7847 | + | 25.6078i | 0.659873 | + | 1.14293i | ||||
\(503\) | 1.02490 | 0.0456982 | 0.0228491 | − | 0.999739i | \(-0.492726\pi\) | ||||
0.0228491 | + | 0.999739i | \(0.492726\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.08290 | −0.404184 | ||||||||
\(506\) | 4.79038 | + | 8.29719i | 0.212958 | + | 0.368855i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −4.07786 | + | 7.06306i | −0.180926 | + | 0.313373i | ||||
\(509\) | 1.94719 | − | 3.37264i | 0.0863078 | − | 0.149490i | −0.819640 | − | 0.572879i | \(-0.805826\pi\) |
0.905948 | + | 0.423389i | \(0.139160\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.54664 | + | 9.60707i | 0.245369 | + | 0.424992i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −28.2774 | −1.24726 | ||||||||
\(515\) | −2.48883 | − | 4.31078i | −0.109671 | − | 0.189956i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.39364 | + | 5.87795i | −0.149252 | + | 0.258512i | ||||
\(518\) | −5.67821 | + | 9.83494i | −0.249486 | + | 0.432123i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.50362 | − | 4.33639i | −0.109791 | − | 0.190163i | ||||
\(521\) | −30.3308 | −1.32882 | −0.664408 | − | 0.747370i | \(-0.731316\pi\) | ||||
−0.664408 | + | 0.747370i | \(0.731316\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 13.5519 | 0.592582 | 0.296291 | − | 0.955098i | \(-0.404250\pi\) | ||||
0.296291 | + | 0.955098i | \(0.404250\pi\) | |||||||
\(524\) | 2.86864 | + | 4.96864i | 0.125317 | + | 0.217056i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.44756 | − | 12.8996i | 0.324729 | − | 0.562447i | ||||
\(527\) | −5.22703 | + | 9.05348i | −0.227693 | + | 0.394376i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.09441 | + | 3.62763i | 0.0910615 | + | 0.157723i | ||||
\(530\) | −5.92433 | −0.257336 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.63489 | 0.0708816 | ||||||||
\(533\) | −11.5351 | − | 19.9794i | −0.499642 | − | 0.865405i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.53299 | − | 4.38726i | 0.109511 | − | 0.189678i | ||||
\(536\) | 3.57079 | − | 6.18479i | 0.154235 | − | 0.267142i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 14.2860 | + | 24.7441i | 0.615913 | + | 1.06679i | ||||
\(539\) | 9.55854 | 0.411715 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.78464 | 0.291694 | 0.145847 | − | 0.989307i | \(-0.453409\pi\) | ||||
0.145847 | + | 0.989307i | \(0.453409\pi\) | |||||||
\(542\) | −8.85572 | − | 15.3386i | −0.380386 | − | 0.658848i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.712956 | − | 1.23488i | 0.0305677 | − | 0.0529448i | ||||
\(545\) | 10.6198 | − | 18.3940i | 0.454902 | − | 0.787914i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 15.5510 | + | 26.9351i | 0.664913 | + | 1.15166i | 0.979309 | + | 0.202371i | \(0.0648648\pi\) |
−0.314396 | + | 0.949292i | \(0.601802\pi\) | |||||||
\(548\) | 21.1576 | 0.903808 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −8.14350 | −0.347240 | ||||||||
\(551\) | −0.700052 | − | 1.21253i | −0.0298232 | − | 0.0516553i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8.83550 | − | 15.3035i | 0.375724 | − | 0.650773i | ||||
\(554\) | 8.37956 | − | 14.5138i | 0.356013 | − | 0.616633i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.18089 | − | 15.9018i | −0.389356 | − | 0.674385i | ||||
\(557\) | −23.6478 | −1.00199 | −0.500995 | − | 0.865450i | \(-0.667033\pi\) | ||||
−0.500995 | + | 0.865450i | \(0.667033\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −38.2693 | −1.61862 | ||||||||
\(560\) | −0.936845 | − | 1.62266i | −0.0395889 | − | 0.0685701i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.02850 | − | 3.51347i | 0.0855673 | − | 0.148207i | ||||
\(563\) | −16.1173 | + | 27.9160i | −0.679263 | + | 1.17652i | 0.295940 | + | 0.955206i | \(0.404367\pi\) |
−0.975203 | + | 0.221311i | \(0.928966\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.92581 | + | 10.2638i | 0.249301 | + | 0.431801i | ||||
\(566\) | −19.3861 | −0.814857 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 12.0806 | 0.506889 | ||||||||
\(569\) | 14.5117 | + | 25.1350i | 0.608361 | + | 1.05371i | 0.991511 | + | 0.130026i | \(0.0415060\pi\) |
−0.383150 | + | 0.923686i | \(0.625161\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.28675 | − | 16.0851i | 0.388638 | − | 0.673141i | −0.603628 | − | 0.797266i | \(-0.706279\pi\) |
0.992267 | + | 0.124124i | \(0.0396122\pi\) | |||||||
\(572\) | 4.82561 | − | 8.35820i | 0.201769 | − | 0.349474i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −4.31641 | − | 7.47623i | −0.180163 | − | 0.312052i | ||||
\(575\) | 15.9892 | 0.666796 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −9.63391 | −0.401065 | −0.200533 | − | 0.979687i | \(-0.564267\pi\) | ||||
−0.200533 | + | 0.979687i | \(0.564267\pi\) | |||||||
\(578\) | −7.48339 | − | 12.9616i | −0.311268 | − | 0.539132i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.802304 | + | 1.38963i | −0.0333138 | + | 0.0577013i | ||||
\(581\) | 4.24844 | − | 7.35851i | 0.176255 | − | 0.305283i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.70943 | − | 9.88902i | −0.236460 | − | 0.409561i | ||||
\(584\) | −6.78533 | −0.280779 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.03103 | −0.0425913 | ||||||||
\(587\) | −12.8763 | − | 22.3024i | −0.531461 | − | 0.920518i | −0.999326 | − | 0.0367175i | \(-0.988310\pi\) |
0.467865 | − | 0.883800i | \(-0.345024\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.66575 | − | 6.34926i | 0.151044 | − | 0.261617i | ||||
\(590\) | 0.748470 | − | 1.29639i | 0.0308140 | − | 0.0533714i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.47314 | − | 6.01565i | −0.142745 | − | 0.247242i | ||||
\(593\) | 23.1785 | 0.951825 | 0.475913 | − | 0.879493i | \(-0.342118\pi\) | ||||
0.475913 | + | 0.879493i | \(0.342118\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.67172 | 0.109530 | ||||||||
\(596\) | 10.1991 | + | 17.6653i | 0.417771 | + | 0.723600i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −9.47475 | + | 16.4107i | −0.387451 | + | 0.671085i | ||||
\(599\) | −22.3463 | + | 38.7049i | −0.913045 | + | 1.58144i | −0.103307 | + | 0.994650i | \(0.532942\pi\) |
−0.809738 | + | 0.586791i | \(0.800391\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 24.1800 | + | 41.8810i | 0.986323 | + | 1.70836i | 0.635901 | + | 0.771770i | \(0.280629\pi\) |
0.350422 | + | 0.936592i | \(0.386038\pi\) | |||||||
\(602\) | −14.3202 | −0.583649 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −14.2233 | −0.578738 | ||||||||
\(605\) | −3.50718 | − | 6.07462i | −0.142587 | − | 0.246968i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −13.4826 | + | 23.3525i | −0.547240 | + | 0.947848i | 0.451222 | + | 0.892412i | \(0.350988\pi\) |
−0.998462 | + | 0.0554365i | \(0.982345\pi\) | |||||||
\(608\) | −0.500000 | + | 0.866025i | −0.0202777 | + | 0.0351220i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.613928 | + | 1.06335i | 0.0248572 | + | 0.0430540i | ||||
\(611\) | −13.4243 | −0.543091 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 14.7376 | 0.595248 | 0.297624 | − | 0.954683i | \(-0.403806\pi\) | ||||
0.297624 | + | 0.954683i | \(0.403806\pi\) | |||||||
\(614\) | −4.39525 | − | 7.61280i | −0.177378 | − | 0.307228i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.80573 | − | 3.12761i | 0.0727547 | − | 0.126015i | ||||
\(617\) | 7.57298 | − | 13.1168i | 0.304877 | − | 0.528062i | −0.672357 | − | 0.740227i | \(-0.734718\pi\) |
0.977234 | + | 0.212165i | \(0.0680514\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.730870 | + | 1.26590i | 0.0293761 | + | 0.0508810i | 0.880340 | − | 0.474344i | \(-0.157315\pi\) |
−0.850964 | + | 0.525225i | \(0.823981\pi\) | |||||||
\(620\) | −8.40235 | −0.337447 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −30.3994 | −1.21890 | ||||||||
\(623\) | 6.23190 | + | 10.7940i | 0.249676 | + | 0.432451i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −3.51164 | + | 6.08233i | −0.140465 | + | 0.243293i | ||||
\(626\) | 0.531531 | − | 0.920638i | 0.0212442 | − | 0.0367961i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.979456 | + | 1.69647i | 0.0390845 | + | 0.0676964i | ||||
\(629\) | 9.90477 | 0.394929 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.53126 | −0.339624 | −0.169812 | − | 0.985476i | \(-0.554316\pi\) | ||||
−0.169812 | + | 0.985476i | \(0.554316\pi\) | |||||||
\(632\) | 5.40433 | + | 9.36057i | 0.214973 | + | 0.372344i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 8.30479 | − | 14.3843i | 0.329826 | − | 0.571275i | ||||
\(635\) | 4.67349 | − | 8.09472i | 0.185462 | − | 0.321229i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.45277 | + | 16.3727i | 0.374532 | + | 0.648709i | ||||
\(638\) | −3.09280 | −0.122445 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.14606 | 0.0453021 | ||||||||
\(641\) | −4.52036 | − | 7.82949i | −0.178543 | − | 0.309246i | 0.762838 | − | 0.646589i | \(-0.223805\pi\) |
−0.941382 | + | 0.337343i | \(0.890472\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.39572 | − | 16.2739i | 0.370531 | − | 0.641779i | −0.619116 | − | 0.785299i | \(-0.712509\pi\) |
0.989647 | + | 0.143521i | \(0.0458424\pi\) | |||||||
\(644\) | −3.54542 | + | 6.14084i | −0.139709 | + | 0.241983i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.712956 | − | 1.23488i | −0.0280509 | − | 0.0485855i | ||||
\(647\) | −28.8633 | −1.13473 | −0.567367 | − | 0.823465i | \(-0.692038\pi\) | ||||
−0.567367 | + | 0.823465i | \(0.692038\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.88528 | 0.113257 | ||||||||
\(650\) | −8.05339 | − | 13.9489i | −0.315880 | − | 0.547120i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.15587 | + | 3.73408i | −0.0844304 | + | 0.146238i | ||||
\(653\) | −23.8280 | + | 41.2713i | −0.932461 | + | 1.61507i | −0.153361 | + | 0.988170i | \(0.549010\pi\) |
−0.779100 | + | 0.626900i | \(0.784324\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.28765 | − | 5.69437i | −0.128459 | − | 0.222498i | ||||
\(656\) | 5.28035 | 0.206163 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.02334 | −0.195830 | ||||||||
\(659\) | 24.8385 | + | 43.0216i | 0.967571 | + | 1.67588i | 0.702544 | + | 0.711641i | \(0.252048\pi\) |
0.265027 | + | 0.964241i | \(0.414619\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.00134 | − | 15.5908i | 0.350111 | − | 0.606411i | −0.636157 | − | 0.771559i | \(-0.719477\pi\) |
0.986269 | + | 0.165149i | \(0.0528104\pi\) | |||||||
\(662\) | 8.36543 | − | 14.4893i | 0.325132 | − | 0.563144i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.59860 | + | 4.50091i | 0.100845 | + | 0.174669i | ||||
\(665\) | −1.87369 | −0.0726586 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.07251 | 0.235129 | ||||||||
\(668\) | 2.47885 | + | 4.29349i | 0.0959096 | + | 0.166120i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −4.09235 | + | 7.08816i | −0.158101 | + | 0.273840i | ||||
\(671\) | −1.18332 | + | 2.04956i | −0.0456814 | + | 0.0791226i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.33566 | − | 14.4378i | −0.321316 | − | 0.556536i | 0.659444 | − | 0.751754i | \(-0.270792\pi\) |
−0.980760 | + | 0.195218i | \(0.937458\pi\) | |||||||
\(674\) | 31.5837 | 1.21656 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.08883 | 0.234186 | ||||||||
\(677\) | −21.8921 | − | 37.9182i | −0.841380 | − | 1.45731i | −0.888728 | − | 0.458435i | \(-0.848410\pi\) |
0.0473478 | − | 0.998878i | \(-0.484923\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 12.7083 | − | 22.0114i | 0.487700 | − | 0.844721i | ||||
\(680\) | −0.817092 | + | 1.41524i | −0.0313341 | + | 0.0542722i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.09757 | − | 14.0254i | −0.310072 | − | 0.537060i | ||||
\(683\) | −33.3197 | −1.27494 | −0.637472 | − | 0.770474i | \(-0.720020\pi\) | ||||
−0.637472 | + | 0.770474i | \(0.720020\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −24.2480 | −0.926467 | ||||||||
\(686\) | 9.25932 | + | 16.0376i | 0.353522 | + | 0.612319i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.37956 | − | 7.58562i | 0.166969 | − | 0.289199i | ||||
\(689\) | 11.2925 | − | 19.5592i | 0.430210 | − | 0.745146i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 25.0713 | + | 43.4248i | 0.953757 | + | 1.65196i | 0.737187 | + | 0.675689i | \(0.236154\pi\) |
0.216570 | + | 0.976267i | \(0.430513\pi\) | |||||||
\(692\) | 13.1012 | 0.498032 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 34.5656 | 1.31209 | ||||||||
\(695\) | 10.5219 | + | 18.2244i | 0.399117 | + | 0.691292i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.76466 | + | 6.52057i | −0.142597 | + | 0.246984i | ||||
\(698\) | 2.51645 | − | 4.35862i | 0.0952491 | − | 0.164976i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.01355 | − | 5.21962i | −0.113901 | − | 0.197283i | ||||
\(701\) | 38.8954 | 1.46906 | 0.734529 | − | 0.678578i | \(-0.237403\pi\) | ||||
0.734529 | + | 0.678578i | \(0.237403\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.94627 | −0.261984 | ||||||||
\(704\) | 1.10449 | + | 1.91303i | 0.0416271 | + | 0.0721002i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.814604 | − | 1.41094i | 0.0306580 | − | 0.0531013i | ||||
\(707\) | 6.47851 | − | 11.2211i | 0.243650 | − | 0.422014i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 20.2895 | + | 35.1425i | 0.761989 | + | 1.31980i | 0.941824 | + | 0.336107i | \(0.109110\pi\) |
−0.179835 | + | 0.983697i | \(0.557556\pi\) | |||||||
\(710\) | −13.8451 | −0.519597 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −7.62362 | −0.285707 | ||||||||
\(713\) | 15.8990 | + | 27.5379i | 0.595423 | + | 1.03130i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.53045 | + | 9.57902i | −0.206827 | + | 0.358235i | ||||
\(716\) | −6.14919 | + | 10.6507i | −0.229806 | + | 0.398036i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −1.48026 | − | 2.56389i | −0.0552429 | − | 0.0956835i | ||||
\(719\) | −31.4899 | −1.17437 | −0.587187 | − | 0.809451i | \(-0.699765\pi\) | ||||
−0.587187 | + | 0.809451i | \(0.699765\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.10078 | 0.264447 | ||||||||
\(722\) | 0.500000 | + | 0.866025i | 0.0186081 | + | 0.0322301i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.697813 | − | 1.20865i | 0.0259340 | − | 0.0449190i | ||||
\(725\) | −2.58077 | + | 4.47002i | −0.0958474 | + | 0.166013i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.31306 | + | 2.27429i | 0.0486987 | + | 0.0843487i | 0.889347 | − | 0.457232i | \(-0.151159\pi\) |
−0.840649 | + | 0.541581i | \(0.817826\pi\) | |||||||
\(728\) | 7.14298 | 0.264736 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.77641 | 0.287818 | ||||||||
\(731\) | 6.24486 | + | 10.8164i | 0.230975 | + | 0.400060i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 4.04043 | − | 6.99824i | 0.149237 | − | 0.258486i | −0.781709 | − | 0.623644i | \(-0.785652\pi\) |
0.930946 | + | 0.365158i | \(0.118985\pi\) | |||||||
\(734\) | −14.1162 | + | 24.4500i | −0.521040 | + | 0.902468i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.16859 | − | 3.75611i | −0.0799354 | − | 0.138452i | ||||
\(737\) | −15.7756 | −0.581103 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 46.0684 | 1.69465 | 0.847326 | − | 0.531073i | \(-0.178211\pi\) | ||||
0.847326 | + | 0.531073i | \(0.178211\pi\) | |||||||
\(740\) | 3.98043 | + | 6.89431i | 0.146324 | + | 0.253440i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.22562 | − | 7.31898i | 0.155127 | − | 0.268688i | ||||
\(743\) | 18.0871 | − | 31.3277i | 0.663550 | − | 1.14930i | −0.316126 | − | 0.948717i | \(-0.602382\pi\) |
0.979676 | − | 0.200585i | \(-0.0642844\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.6888 | − | 20.2456i | −0.428244 | − | 0.741741i | ||||
\(746\) | 9.86453 | 0.361166 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −3.14981 | −0.115169 | ||||||||
\(749\) | 3.61338 | + | 6.25856i | 0.132030 | + | 0.228683i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.3308 | − | 19.6256i | 0.413468 | − | 0.716148i | −0.581798 | − | 0.813333i | \(-0.697651\pi\) |
0.995266 | + | 0.0971851i | \(0.0309839\pi\) | |||||||
\(752\) | 1.53629 | − | 2.66093i | 0.0560227 | − | 0.0970342i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.05858 | − | 5.29762i | −0.111387 | − | 0.192928i | ||||
\(755\) | 16.3008 | 0.593247 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.45466 | 0.234599 | 0.117299 | − | 0.993097i | \(-0.462576\pi\) | ||||
0.117299 | + | 0.993097i | \(0.462576\pi\) | |||||||
\(758\) | −2.18039 | − | 3.77655i | −0.0791955 | − | 0.137171i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.573032 | − | 0.992520i | 0.0207860 | − | 0.0360025i | ||||
\(761\) | 3.73318 | − | 6.46606i | 0.135328 | − | 0.234394i | −0.790395 | − | 0.612598i | \(-0.790125\pi\) |
0.925723 | + | 0.378203i | \(0.123458\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 15.1495 | + | 26.2397i | 0.548448 | + | 0.949939i | ||||
\(764\) | 0.104472 | 0.00377968 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −33.3710 | −1.20574 | ||||||||
\(767\) | 2.85335 | + | 4.94215i | 0.103029 | + | 0.178451i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.4774 | − | 21.6115i | 0.449947 | − | 0.779331i | −0.548435 | − | 0.836193i | \(-0.684776\pi\) |
0.998382 | + | 0.0568620i | \(0.0181095\pi\) | |||||||
\(770\) | −2.06947 | + | 3.58444i | −0.0745787 | + | 0.129174i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 10.4870 | + | 18.1640i | 0.377435 | + | 0.653736i | ||||
\(773\) | 52.8951 | 1.90250 | 0.951252 | − | 0.308414i | \(-0.0997982\pi\) | ||||
0.951252 | + | 0.308414i | \(0.0997982\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −27.0278 | −0.970869 | ||||||||
\(776\) | 7.77317 | + | 13.4635i | 0.279041 | + | 0.483312i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.61771 | − | 11.4622i | 0.237256 | − | 0.410940i | ||||
\(779\) | 2.64018 | − | 4.57292i | 0.0945941 | − | 0.163842i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −13.3429 | − | 23.1105i | −0.477445 | − | 0.826960i | ||||
\(782\) | 6.18444 | 0.221155 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −4.32712 | −0.154540 | ||||||||
\(785\) | −1.12252 | − | 1.94426i | −0.0400644 | − | 0.0693936i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −18.3515 | + | 31.7858i | −0.654161 | + | 1.13304i | 0.327942 | + | 0.944698i | \(0.393645\pi\) |
−0.982103 | + | 0.188343i | \(0.939688\pi\) | |||||||
\(788\) | 10.7375 | − | 18.5980i | 0.382509 | − | 0.662525i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −6.19370 | − | 10.7278i | −0.220362 | − | 0.381678i | ||||
\(791\) | −16.9067 | −0.601133 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.68089 | −0.166223 | ||||||||
\(794\) | 13.8307 | + | 23.9555i | 0.490835 | + | 0.850151i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −3.19440 | + | 5.53286i | −0.113222 | + | 0.196107i | ||||
\(797\) | −6.58912 | + | 11.4127i | −0.233398 | + | 0.404258i | −0.958806 | − | 0.284062i | \(-0.908318\pi\) |
0.725408 | + | 0.688320i | \(0.241651\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.19061 | + | 3.79425i | 0.0774983 | + | 0.134231i | ||||
\(800\) | 3.68654 | 0.130339 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 7.81861 | 0.276085 | ||||||||
\(803\) | 7.49433 | + | 12.9806i | 0.264469 | + | 0.458074i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.06327 | − | 7.03779i | 0.143212 | − | 0.248050i | ||||
\(806\) | 16.0159 | − | 27.7404i | 0.564137 | − | 0.977114i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 3.96265 | + | 6.86352i | 0.139406 | + | 0.241458i | ||||
\(809\) | 53.7680 | 1.89038 | 0.945191 | − | 0.326519i | \(-0.105876\pi\) | ||||
0.945191 | + | 0.326519i | \(0.105876\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −26.3479 | −0.925200 | −0.462600 | − | 0.886567i | \(-0.653083\pi\) | ||||
−0.462600 | + | 0.886567i | \(0.653083\pi\) | |||||||
\(812\) | −1.14451 | − | 1.98235i | −0.0401644 | − | 0.0695669i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −7.67209 | + | 13.2885i | −0.268907 | + | 0.465760i | ||||
\(815\) | 2.47076 | − | 4.27949i | 0.0865471 | − | 0.149904i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.37956 | − | 7.58562i | −0.153221 | − | 0.265387i | ||||
\(818\) | −19.6064 | −0.685522 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −6.05161 | −0.211332 | ||||||||
\(821\) | 16.0585 | + | 27.8142i | 0.560447 | + | 0.970722i | 0.997457 | + | 0.0712657i | \(0.0227038\pi\) |
−0.437011 | + | 0.899456i | \(0.643963\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 25.8298 | − | 44.7386i | 0.900372 | − | 1.55949i | 0.0733601 | − | 0.997306i | \(-0.476628\pi\) |
0.827012 | − | 0.562184i | \(-0.190039\pi\) | |||||||
\(824\) | −2.17163 | + | 3.76138i | −0.0756525 | + | 0.131034i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.06771 | + | 1.84934i | 0.0371505 | + | 0.0643466i | ||||
\(827\) | −10.0857 | −0.350713 | −0.175357 | − | 0.984505i | \(-0.556108\pi\) | ||||
−0.175357 | + | 0.984505i | \(0.556108\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 15.4641 | 0.537092 | 0.268546 | − | 0.963267i | \(-0.413457\pi\) | ||||
0.268546 | + | 0.963267i | \(0.413457\pi\) | |||||||
\(830\) | −2.97816 | − | 5.15833i | −0.103374 | − | 0.179048i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.18454 | + | 3.78373i | −0.0757352 | + | 0.131177i | ||||
\(833\) | 3.08505 | − | 5.34346i | 0.106891 | − | 0.185140i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.84092 | − | 4.92061i | −0.0983140 | − | 0.170285i | ||||
\(836\) | 2.20898 | 0.0763992 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 13.1970 | 0.455884 | ||||||||
\(839\) | −12.1835 | − | 21.1024i | −0.420621 | − | 0.728537i | 0.575380 | − | 0.817887i | \(-0.304854\pi\) |
−0.996000 | + | 0.0893500i | \(0.971521\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.5199 | − | 23.4171i | 0.466202 | − | 0.807485i | ||||
\(842\) | −15.1960 | + | 26.3202i | −0.523688 | + | 0.907054i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.151291 | + | 0.262044i | 0.00520765 | + | 0.00901991i | ||||
\(845\) | −6.97819 | −0.240057 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 10.0062 | 0.343817 | ||||||||
\(848\) | 2.58464 | + | 4.47673i | 0.0887570 | + | 0.153732i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.62834 | + | 4.55242i | −0.0901513 | + | 0.156147i | ||||
\(851\) | 15.0636 | − | 26.0910i | 0.516375 | − | 0.894387i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −13.5908 | − | 23.5400i | −0.465341 | − | 0.805994i | 0.533876 | − | 0.845563i | \(-0.320735\pi\) |
−0.999217 | + | 0.0395686i | \(0.987402\pi\) | |||||||
\(854\) | −1.75157 | −0.0599376 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.42033 | −0.151084 | ||||||||
\(857\) | −21.9284 | − | 37.9811i | −0.749060 | − | 1.29741i | −0.948274 | − | 0.317454i | \(-0.897172\pi\) |
0.199214 | − | 0.979956i | \(-0.436161\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 26.5531 | − | 45.9913i | 0.905979 | − | 1.56920i | 0.0863825 | − | 0.996262i | \(-0.472469\pi\) |
0.819597 | − | 0.572940i | \(-0.194197\pi\) | |||||||
\(860\) | −5.01925 | + | 8.69360i | −0.171155 | + | 0.296449i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.13373 | + | 10.6239i | 0.208916 | + | 0.361853i | ||||
\(863\) | −9.08908 | −0.309396 | −0.154698 | − | 0.987962i | \(-0.549440\pi\) | ||||
−0.154698 | + | 0.987962i | \(0.549440\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −15.0148 | −0.510518 | ||||||||
\(866\) | −1.65129 | − | 2.86012i | −0.0561133 | − | 0.0971910i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 5.99311 | − | 10.3804i | 0.203419 | − | 0.352333i | ||||
\(869\) | 11.9381 | − | 20.6773i | 0.404971 | − | 0.701431i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −15.6011 | − | 27.0218i | −0.528622 | − | 0.915600i | ||||
\(872\) | −18.5327 | −0.627595 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −4.33718 | −0.146707 | ||||||||
\(875\) | 8.13795 | + | 14.0953i | 0.275113 | + | 0.476509i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.63591 | + | 8.02963i | −0.156544 | + | 0.271141i | −0.933620 | − | 0.358265i | \(-0.883369\pi\) |
0.777076 | + | 0.629406i | \(0.216702\pi\) | |||||||
\(878\) | 10.4785 | − | 18.1493i | 0.353633 | − | 0.612510i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.26582 | − | 2.19246i | −0.0426707 | − | 0.0739078i | ||||
\(881\) | −0.681963 | −0.0229759 | −0.0114880 | − | 0.999934i | \(-0.503657\pi\) | ||||
−0.0114880 | + | 0.999934i | \(0.503657\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1.29612 | −0.0436179 | −0.0218090 | − | 0.999762i | \(-0.506943\pi\) | ||||
−0.0218090 | + | 0.999762i | \(0.506943\pi\) | |||||||
\(884\) | −3.11496 | − | 5.39527i | −0.104767 | − | 0.181462i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −17.4811 | + | 30.2782i | −0.587291 | + | 1.01722i | ||||
\(887\) | 10.7287 | − | 18.5826i | 0.360234 | − | 0.623943i | −0.627765 | − | 0.778403i | \(-0.716030\pi\) |
0.987999 | + | 0.154460i | \(0.0493636\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.66687 | + | 11.5474i | 0.223600 | + | 0.387286i | ||||
\(890\) | 8.73715 | 0.292870 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 21.6610 | 0.725263 | ||||||||
\(893\) | −1.53629 | − | 2.66093i | −0.0514100 | − | 0.0890447i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 7.04736 | − | 12.2064i | 0.235567 | − | 0.408015i | ||||
\(896\) | −0.817447 | + | 1.41586i | −0.0273090 | + | 0.0473005i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −6.44222 | − | 11.1583i | −0.214980 | − | 0.372356i | ||||
\(899\) | −10.2649 | −0.342352 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −7.37094 | −0.245562 | ||||||||
\(902\) | −5.83210 | − | 10.1015i | −0.194188 | − | 0.336343i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.17058 | − | 8.95570i | 0.171971 | − | 0.297862i | ||||
\(905\) | −0.799737 | + | 1.38519i | −0.0265842 | + | 0.0460451i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.98110 | + | 3.43137i | 0.0657814 | + | 0.113937i | 0.897040 | − | 0.441949i | \(-0.145713\pi\) |
−0.831259 | + | 0.555885i | \(0.812379\pi\) | |||||||
\(908\) | −7.50858 | −0.249181 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −8.18630 | −0.271373 | ||||||||
\(911\) | −8.58261 | − | 14.8655i | −0.284355 | − | 0.492517i | 0.688098 | − | 0.725618i | \(-0.258446\pi\) |
−0.972452 | + | 0.233101i | \(0.925113\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.74027 | − | 9.94244i | 0.189975 | − | 0.329047i | ||||
\(914\) | −1.35841 | + | 2.35284i | −0.0449323 | + | 0.0778250i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.05764 | + | 5.29598i | 0.101027 | + | 0.174984i | ||||
\(917\) | 9.37986 | 0.309750 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.23791 | −0.0408350 | −0.0204175 | − | 0.999792i | \(-0.506500\pi\) | ||||
−0.0204175 | + | 0.999792i | \(0.506500\pi\) | |||||||
\(920\) | 2.48534 | + | 4.30474i | 0.0819394 | + | 0.141923i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.83407 | − | 3.17670i | 0.0604018 | − | 0.104619i | ||||
\(923\) | 26.3904 | − | 45.7096i | 0.868652 | − | 1.50455i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 12.8039 | + | 22.1769i | 0.420988 | + | 0.729173i | ||||
\(926\) | −12.2995 | −0.404186 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.40010 | 0.0459607 | ||||||||
\(929\) | 18.4485 | + | 31.9538i | 0.605276 | + | 1.04837i | 0.992008 | + | 0.126177i | \(0.0402708\pi\) |
−0.386731 | + | 0.922192i | \(0.626396\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.16356 | + | 3.74740i | −0.0709079 | + | 0.122816i | ||||
\(932\) | −12.6905 | + | 21.9806i | −0.415691 | + | 0.719999i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −8.74881 | − | 15.1534i | −0.286270 | − | 0.495834i | ||||
\(935\) | 3.60988 | 0.118056 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −29.7583 | −0.972162 | −0.486081 | − | 0.873914i | \(-0.661574\pi\) | ||||
−0.486081 | + | 0.873914i | \(0.661574\pi\) | |||||||
\(938\) | −5.83786 | − | 10.1115i | −0.190613 | − | 0.330151i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.76069 | + | 3.04960i | −0.0574272 | + | 0.0994669i | ||||
\(941\) | 14.4325 | − | 24.9978i | 0.470486 | − | 0.814905i | −0.528944 | − | 0.848656i | \(-0.677412\pi\) |
0.999430 | + | 0.0337510i | \(0.0107453\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.4509 | + | 19.8336i | 0.372894 | + | 0.645871i | ||||
\(944\) | −1.30616 | −0.0425118 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −19.3487 | −0.629082 | ||||||||
\(947\) | 18.0124 | + | 31.1983i | 0.585323 | + | 1.01381i | 0.994835 | + | 0.101504i | \(0.0323656\pi\) |
−0.409512 | + | 0.912305i | \(0.634301\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −14.8228 | + | 25.6739i | −0.481169 | + | 0.833409i | ||||
\(950\) | 1.84327 | − | 3.19264i | 0.0598036 | − | 0.103583i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.16561 | − | 2.01889i | −0.0377775 | − | 0.0654326i | ||||
\(953\) | 3.29871 | 0.106856 | 0.0534278 | − | 0.998572i | \(-0.482985\pi\) | ||||
0.0534278 | + | 0.998572i | \(0.482985\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.119732 | −0.00387443 | ||||||||
\(956\) | 3.08704 | + | 5.34692i | 0.0998421 | + | 0.172932i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 5.75981 | − | 9.97628i | 0.186091 | − | 0.322319i | ||||
\(959\) | 17.2952 | − | 29.9562i | 0.558492 | − | 0.967336i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.3754 | − | 19.7028i | −0.366949 | − | 0.635574i | ||||
\(962\) | −30.3488 | −0.978484 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 11.8326 | 0.381102 | ||||||||
\(965\) | −12.0187 | − | 20.8171i | −0.386897 | − | 0.670125i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −25.8504 | + | 44.7743i | −0.831294 | + | 1.43984i | 0.0657191 | + | 0.997838i | \(0.479066\pi\) |
−0.897013 | + | 0.442005i | \(0.854267\pi\) | |||||||
\(968\) | −3.06020 | + | 5.30042i | −0.0983585 | + | 0.170362i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −8.90854 | − | 15.4300i | −0.286036 | − | 0.495429i | ||||
\(971\) | 4.38750 | 0.140801 | 0.0704007 | − | 0.997519i | \(-0.477572\pi\) | ||||
0.0704007 | + | 0.997519i | \(0.477572\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −30.0195 | −0.962382 | ||||||||
\(974\) | −15.6610 | − | 27.1256i | −0.501810 | − | 0.869160i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.535684 | − | 0.927832i | 0.0171468 | − | 0.0296992i | ||||
\(977\) | 24.6775 | − | 42.7426i | 0.789502 | − | 1.36746i | −0.136771 | − | 0.990603i | \(-0.543672\pi\) |
0.926273 | − | 0.376854i | \(-0.122994\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.42022 | + | 14.5843i | 0.269111 | + | 0.466115i | ||||
\(980\) | 4.95916 | 0.158414 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −36.2018 | −1.15525 | ||||||||
\(983\) | −26.2273 | − | 45.4270i | −0.836520 | − | 1.44890i | −0.892787 | − | 0.450480i | \(-0.851253\pi\) |
0.0562663 | − | 0.998416i | \(-0.482080\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −12.3059 | + | 21.3144i | −0.392098 | + | 0.679134i | ||||
\(986\) | −0.998212 | + | 1.72895i | −0.0317895 | + | 0.0550611i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.18454 | + | 3.78373i | 0.0694994 | + | 0.120377i | ||||
\(989\) | 37.9899 | 1.20801 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.9358 | −0.537985 | −0.268992 | − | 0.963142i | \(-0.586691\pi\) | ||||
−0.268992 | + | 0.963142i | \(0.586691\pi\) | |||||||
\(992\) | 3.66575 | + | 6.34926i | 0.116388 | + | 0.201589i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 9.87521 | − | 17.1044i | 0.313223 | − | 0.542518i | ||||
\(995\) | 3.66098 | − | 6.34101i | 0.116061 | − | 0.201024i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −29.9924 | − | 51.9483i | −0.949868 | − | 1.64522i | −0.745697 | − | 0.666285i | \(-0.767884\pi\) |
−0.204171 | − | 0.978935i | \(-0.565450\pi\) | |||||||
\(998\) | 13.8719 | 0.439108 | ||||||||
\(999\) | 0 | 0 |
(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 | 1026.2.e.d.685.4 | 12 | ||
3.2 | odd | 2 | 342.2.e.c.229.3 | yes | 12 | ||
9.2 | odd | 6 | 342.2.e.c.115.3 | ✓ | 12 | ||
9.4 | even | 3 | 3078.2.a.v.1.3 | 6 | |||
9.5 | odd | 6 | 3078.2.a.x.1.4 | 6 | |||
9.7 | even | 3 | inner | 1026.2.e.d.343.4 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
342.2.e.c.115.3 | ✓ | 12 | 9.2 | odd | 6 | ||
342.2.e.c.229.3 | yes | 12 | 3.2 | odd | 2 | ||
1026.2.e.d.343.4 | 12 | 9.7 | even | 3 | inner | ||
1026.2.e.d.685.4 | 12 | 1.1 | even | 1 | trivial | ||
3078.2.a.v.1.3 | 6 | 9.4 | even | 3 | |||
3078.2.a.x.1.4 | 6 | 9.5 | odd | 6 |